Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(71,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
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("370.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.o (of order \(9\), degree \(6\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 18 x^{16} - 25 x^{15} + 132 x^{14} - 135 x^{13} + 666 x^{12} - 297 x^{11} + 1845 x^{10} + \cdots + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 181.1 | ||
Root | \(1.39238 - 2.41167i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.181 |
Dual form | 370.2.o.b.231.1 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | + | 0.984808i | −0.122788 | + | 0.696364i | ||||
\(3\) | −0.483568 | − | 2.74245i | −0.279188 | − | 1.58335i | −0.725336 | − | 0.688395i | \(-0.758315\pi\) |
0.446147 | − | 0.894959i | \(-0.352796\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | −0.766044 | + | 0.642788i | −0.342585 | + | 0.287463i | ||||
\(6\) | 2.78476 | 1.13687 | ||||||||
\(7\) | −2.74168 | + | 2.30055i | −1.03626 | + | 0.869525i | −0.991582 | − | 0.129477i | \(-0.958670\pi\) |
−0.0446767 | + | 0.999001i | \(0.514226\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −4.46812 | + | 1.62626i | −1.48937 | + | 0.542088i | ||||
\(10\) | −0.500000 | − | 0.866025i | −0.158114 | − | 0.273861i | ||||
\(11\) | −1.18256 | + | 2.04826i | −0.356556 | + | 0.617573i | −0.987383 | − | 0.158350i | \(-0.949382\pi\) |
0.630827 | + | 0.775923i | \(0.282716\pi\) | |||||||
\(12\) | −0.483568 | + | 2.74245i | −0.139594 | + | 0.791677i | ||||
\(13\) | 1.42199 | + | 0.517562i | 0.394389 | + | 0.143546i | 0.531599 | − | 0.846996i | \(-0.321591\pi\) |
−0.137210 | + | 0.990542i | \(0.543814\pi\) | |||||||
\(14\) | −1.78951 | − | 3.09952i | −0.478266 | − | 0.828381i | ||||
\(15\) | 2.13325 | + | 1.79001i | 0.550802 | + | 0.462178i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −0.105859 | + | 0.0385295i | −0.0256746 | + | 0.00934479i | −0.354826 | − | 0.934933i | \(-0.615460\pi\) |
0.329151 | + | 0.944277i | \(0.393238\pi\) | |||||||
\(18\) | −0.825676 | − | 4.68264i | −0.194614 | − | 1.10371i | ||||
\(19\) | 1.05907 | + | 6.00630i | 0.242968 | + | 1.37794i | 0.825165 | + | 0.564892i | \(0.191082\pi\) |
−0.582197 | + | 0.813048i | \(0.697807\pi\) | |||||||
\(20\) | 0.939693 | − | 0.342020i | 0.210122 | − | 0.0764780i | ||||
\(21\) | 7.63493 | + | 6.40646i | 1.66608 | + | 1.39800i | ||||
\(22\) | −1.81179 | − | 1.52027i | −0.386275 | − | 0.324123i | ||||
\(23\) | 0.0857174 | + | 0.148467i | 0.0178733 | + | 0.0309575i | 0.874824 | − | 0.484441i | \(-0.160977\pi\) |
−0.856950 | + | 0.515399i | \(0.827644\pi\) | |||||||
\(24\) | −2.61682 | − | 0.952443i | −0.534155 | − | 0.194417i | ||||
\(25\) | 0.173648 | − | 0.984808i | 0.0347296 | − | 0.196962i | ||||
\(26\) | −0.756625 | + | 1.31051i | −0.148386 | + | 0.257013i | ||||
\(27\) | 2.44345 | + | 4.23218i | 0.470243 | + | 0.814484i | ||||
\(28\) | 3.36317 | − | 1.22409i | 0.635580 | − | 0.231332i | ||||
\(29\) | −3.37349 | + | 5.84306i | −0.626441 | + | 1.08503i | 0.361819 | + | 0.932248i | \(0.382156\pi\) |
−0.988260 | + | 0.152780i | \(0.951177\pi\) | |||||||
\(30\) | −2.13325 | + | 1.79001i | −0.389476 | + | 0.326809i | ||||
\(31\) | −9.78160 | −1.75683 | −0.878414 | − | 0.477901i | \(-0.841398\pi\) | ||||
−0.878414 | + | 0.477901i | \(0.841398\pi\) | |||||||
\(32\) | −0.766044 | + | 0.642788i | −0.135419 | + | 0.113630i | ||||
\(33\) | 6.18910 | + | 2.25265i | 1.07738 | + | 0.392135i | ||||
\(34\) | −0.0195620 | − | 0.110941i | −0.00335485 | − | 0.0190263i | ||||
\(35\) | 0.621489 | − | 3.52464i | 0.105051 | − | 0.595773i | ||||
\(36\) | 4.75488 | 0.792479 | ||||||||
\(37\) | −4.70979 | − | 3.84940i | −0.774285 | − | 0.632837i | ||||
\(38\) | −6.09896 | −0.989381 | ||||||||
\(39\) | 0.731759 | − | 4.15001i | 0.117175 | − | 0.664534i | ||||
\(40\) | 0.173648 | + | 0.984808i | 0.0274562 | + | 0.155712i | ||||
\(41\) | 11.4481 | + | 4.16679i | 1.78790 | + | 0.650743i | 0.999360 | + | 0.0357590i | \(0.0113849\pi\) |
0.788540 | + | 0.614983i | \(0.210837\pi\) | |||||||
\(42\) | −7.63493 | + | 6.40646i | −1.17809 | + | 0.988539i | ||||
\(43\) | −6.91749 | −1.05491 | −0.527454 | − | 0.849584i | \(-0.676853\pi\) | ||||
−0.527454 | + | 0.849584i | \(0.676853\pi\) | |||||||
\(44\) | 1.81179 | − | 1.52027i | 0.273138 | − | 0.229190i | ||||
\(45\) | 2.37744 | − | 4.11784i | 0.354408 | − | 0.613852i | ||||
\(46\) | −0.161096 | + | 0.0586341i | −0.0237523 | + | 0.00864513i | ||||
\(47\) | −4.30903 | − | 7.46346i | −0.628537 | − | 1.08866i | −0.987845 | − | 0.155439i | \(-0.950321\pi\) |
0.359308 | − | 0.933219i | \(-0.383013\pi\) | |||||||
\(48\) | 1.39238 | − | 2.41167i | 0.200973 | − | 0.348095i | ||||
\(49\) | 1.00878 | − | 5.72109i | 0.144112 | − | 0.817298i | ||||
\(50\) | 0.939693 | + | 0.342020i | 0.132893 | + | 0.0483690i | ||||
\(51\) | 0.156855 | + | 0.271682i | 0.0219642 | + | 0.0380430i | ||||
\(52\) | −1.15922 | − | 0.972698i | −0.160754 | − | 0.134889i | ||||
\(53\) | −0.934497 | − | 0.784136i | −0.128363 | − | 0.107709i | 0.576346 | − | 0.817206i | \(-0.304478\pi\) |
−0.704709 | + | 0.709496i | \(0.748922\pi\) | |||||||
\(54\) | −4.59219 | + | 1.67142i | −0.624918 | + | 0.227451i | ||||
\(55\) | −0.410700 | − | 2.32919i | −0.0553787 | − | 0.314068i | ||||
\(56\) | 0.621489 | + | 3.52464i | 0.0830500 | + | 0.471000i | ||||
\(57\) | 15.9598 | − | 5.80891i | 2.11393 | − | 0.769409i | ||||
\(58\) | −5.16849 | − | 4.33688i | −0.678656 | − | 0.569460i | ||||
\(59\) | −0.587543 | − | 0.493008i | −0.0764916 | − | 0.0641841i | 0.603740 | − | 0.797181i | \(-0.293676\pi\) |
−0.680232 | + | 0.732997i | \(0.738121\pi\) | |||||||
\(60\) | −1.39238 | − | 2.41167i | −0.179755 | − | 0.311345i | ||||
\(61\) | −2.72064 | − | 0.990233i | −0.348343 | − | 0.126786i | 0.161923 | − | 0.986803i | \(-0.448231\pi\) |
−0.510265 | + | 0.860017i | \(0.670453\pi\) | |||||||
\(62\) | 1.69856 | − | 9.63300i | 0.215717 | − | 1.22339i | ||||
\(63\) | 8.50888 | − | 14.7378i | 1.07202 | − | 1.85679i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −1.42199 | + | 0.517562i | −0.176376 | + | 0.0641957i | ||||
\(66\) | −3.29315 | + | 5.70390i | −0.405359 | + | 0.702102i | ||||
\(67\) | 0.0466389 | − | 0.0391347i | 0.00569785 | − | 0.00478106i | −0.639934 | − | 0.768430i | \(-0.721038\pi\) |
0.645632 | + | 0.763649i | \(0.276594\pi\) | |||||||
\(68\) | 0.112653 | 0.0136612 | ||||||||
\(69\) | 0.365713 | − | 0.306870i | 0.0440267 | − | 0.0369427i | ||||
\(70\) | 3.36317 | + | 1.22409i | 0.401976 | + | 0.146307i | ||||
\(71\) | −1.17210 | − | 6.64731i | −0.139103 | − | 0.788891i | −0.971914 | − | 0.235335i | \(-0.924381\pi\) |
0.832812 | − | 0.553556i | \(-0.186730\pi\) | |||||||
\(72\) | −0.825676 | + | 4.68264i | −0.0973068 | + | 0.551854i | ||||
\(73\) | −1.90025 | −0.222407 | −0.111204 | − | 0.993798i | \(-0.535471\pi\) | ||||
−0.111204 | + | 0.993798i | \(0.535471\pi\) | |||||||
\(74\) | 4.60876 | − | 3.96980i | 0.535758 | − | 0.461480i | ||||
\(75\) | −2.78476 | −0.321556 | ||||||||
\(76\) | 1.05907 | − | 6.00630i | 0.121484 | − | 0.688970i | ||||
\(77\) | −1.46990 | − | 8.33621i | −0.167511 | − | 0.950000i | ||||
\(78\) | 3.95990 | + | 1.44128i | 0.448370 | + | 0.163193i | ||||
\(79\) | −9.61938 | + | 8.07161i | −1.08226 | + | 0.908128i | −0.996107 | − | 0.0881540i | \(-0.971903\pi\) |
−0.0861574 | + | 0.996282i | \(0.527459\pi\) | |||||||
\(80\) | −1.00000 | −0.111803 | ||||||||
\(81\) | −0.502359 | + | 0.421529i | −0.0558177 | + | 0.0468366i | ||||
\(82\) | −6.09143 | + | 10.5507i | −0.672686 | + | 1.16513i | ||||
\(83\) | 1.48240 | − | 0.539550i | 0.162715 | − | 0.0592233i | −0.259378 | − | 0.965776i | \(-0.583518\pi\) |
0.422093 | + | 0.906552i | \(0.361295\pi\) | |||||||
\(84\) | −4.98334 | − | 8.63140i | −0.543727 | − | 0.941763i | ||||
\(85\) | 0.0563264 | − | 0.0975602i | 0.00610946 | − | 0.0105819i | ||||
\(86\) | 1.20121 | − | 6.81240i | 0.129530 | − | 0.734600i | ||||
\(87\) | 17.6556 | + | 6.42612i | 1.89288 | + | 0.688952i | ||||
\(88\) | 1.18256 | + | 2.04826i | 0.126062 | + | 0.218345i | ||||
\(89\) | 12.1158 | + | 10.1663i | 1.28427 | + | 1.07763i | 0.992641 | + | 0.121098i | \(0.0386416\pi\) |
0.291629 | + | 0.956532i | \(0.405803\pi\) | |||||||
\(90\) | 3.64245 | + | 3.05638i | 0.383948 | + | 0.322170i | ||||
\(91\) | −5.08932 | + | 1.85236i | −0.533506 | + | 0.194180i | ||||
\(92\) | −0.0297693 | − | 0.168830i | −0.00310367 | − | 0.0176018i | ||||
\(93\) | 4.73007 | + | 26.8256i | 0.490485 | + | 2.78168i | ||||
\(94\) | 8.09833 | − | 2.94755i | 0.835279 | − | 0.304017i | ||||
\(95\) | −4.67207 | − | 3.92033i | −0.479344 | − | 0.402218i | ||||
\(96\) | 2.13325 | + | 1.79001i | 0.217724 | + | 0.182692i | ||||
\(97\) | 8.37898 | + | 14.5128i | 0.850756 | + | 1.47355i | 0.880527 | + | 0.473996i | \(0.157189\pi\) |
−0.0297707 | + | 0.999557i | \(0.509478\pi\) | |||||||
\(98\) | 5.45900 | + | 1.98691i | 0.551442 | + | 0.200708i | ||||
\(99\) | 1.95283 | − | 11.0750i | 0.196266 | − | 1.11308i | ||||
\(100\) | −0.500000 | + | 0.866025i | −0.0500000 | + | 0.0866025i | ||||
\(101\) | −4.15881 | − | 7.20327i | −0.413817 | − | 0.716753i | 0.581486 | − | 0.813556i | \(-0.302471\pi\) |
−0.995303 | + | 0.0968037i | \(0.969138\pi\) | |||||||
\(102\) | −0.294792 | + | 0.107295i | −0.0291887 | + | 0.0106238i | ||||
\(103\) | 2.41488 | − | 4.18269i | 0.237945 | − | 0.412132i | −0.722180 | − | 0.691706i | \(-0.756860\pi\) |
0.960124 | + | 0.279573i | \(0.0901929\pi\) | |||||||
\(104\) | 1.15922 | − | 0.972698i | 0.113671 | − | 0.0953809i | ||||
\(105\) | −9.96669 | −0.972649 | ||||||||
\(106\) | 0.934497 | − | 0.784136i | 0.0907664 | − | 0.0761620i | ||||
\(107\) | 4.20383 | + | 1.53007i | 0.406400 | + | 0.147917i | 0.537128 | − | 0.843501i | \(-0.319509\pi\) |
−0.130728 | + | 0.991418i | \(0.541731\pi\) | |||||||
\(108\) | −0.848602 | − | 4.81266i | −0.0816568 | − | 0.463099i | ||||
\(109\) | 1.28402 | − | 7.28204i | 0.122987 | − | 0.697493i | −0.859496 | − | 0.511142i | \(-0.829223\pi\) |
0.982483 | − | 0.186351i | \(-0.0596661\pi\) | |||||||
\(110\) | 2.36512 | 0.225506 | ||||||||
\(111\) | −8.27928 | + | 14.7778i | −0.785834 | + | 1.40265i | ||||
\(112\) | −3.57901 | −0.338185 | ||||||||
\(113\) | 2.75151 | − | 15.6046i | 0.258840 | − | 1.46796i | −0.527180 | − | 0.849754i | \(-0.676750\pi\) |
0.786020 | − | 0.618201i | \(-0.212138\pi\) | |||||||
\(114\) | 2.94926 | + | 16.7261i | 0.276224 | + | 1.56654i | ||||
\(115\) | −0.161096 | − | 0.0586341i | −0.0150223 | − | 0.00546766i | ||||
\(116\) | 5.16849 | − | 4.33688i | 0.479882 | − | 0.402669i | ||||
\(117\) | −7.19532 | −0.665207 | ||||||||
\(118\) | 0.587543 | − | 0.493008i | 0.0540878 | − | 0.0453850i | ||||
\(119\) | 0.201593 | − | 0.349169i | 0.0184800 | − | 0.0320083i | ||||
\(120\) | 2.61682 | − | 0.952443i | 0.238882 | − | 0.0869458i | ||||
\(121\) | 2.70309 | + | 4.68189i | 0.245736 | + | 0.425627i | ||||
\(122\) | 1.44762 | − | 2.50736i | 0.131062 | − | 0.227005i | ||||
\(123\) | 5.89125 | − | 33.4109i | 0.531196 | − | 3.01256i | ||||
\(124\) | 9.19170 | + | 3.34550i | 0.825439 | + | 0.300435i | ||||
\(125\) | 0.500000 | + | 0.866025i | 0.0447214 | + | 0.0774597i | ||||
\(126\) | 13.0364 | + | 10.9388i | 1.16137 | + | 0.974507i | ||||
\(127\) | 15.6972 | + | 13.1715i | 1.39290 | + | 1.16878i | 0.964149 | + | 0.265361i | \(0.0854912\pi\) |
0.428752 | + | 0.903422i | \(0.358953\pi\) | |||||||
\(128\) | 0.939693 | − | 0.342020i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | 3.34508 | + | 18.9709i | 0.294518 | + | 1.67029i | ||||
\(130\) | −0.262773 | − | 1.49026i | −0.0230467 | − | 0.130704i | ||||
\(131\) | −9.64212 | + | 3.50944i | −0.842436 | + | 0.306622i | −0.726952 | − | 0.686688i | \(-0.759064\pi\) |
−0.115483 | + | 0.993309i | \(0.536842\pi\) | |||||||
\(132\) | −5.04540 | − | 4.23359i | −0.439146 | − | 0.368487i | ||||
\(133\) | −16.7214 | − | 14.0309i | −1.44993 | − | 1.21664i | ||||
\(134\) | 0.0304414 | + | 0.0527260i | 0.00262974 | + | 0.00455484i | ||||
\(135\) | −4.59219 | − | 1.67142i | −0.395233 | − | 0.143853i | ||||
\(136\) | −0.0195620 | + | 0.110941i | −0.00167742 | + | 0.00951315i | ||||
\(137\) | 8.28859 | − | 14.3563i | 0.708142 | − | 1.22654i | −0.257403 | − | 0.966304i | \(-0.582867\pi\) |
0.965545 | − | 0.260234i | \(-0.0837998\pi\) | |||||||
\(138\) | 0.238702 | + | 0.413444i | 0.0203197 | + | 0.0351947i | ||||
\(139\) | −4.44284 | + | 1.61706i | −0.376836 | + | 0.137157i | −0.523492 | − | 0.852030i | \(-0.675371\pi\) |
0.146656 | + | 0.989188i | \(0.453149\pi\) | |||||||
\(140\) | −1.78951 | + | 3.09952i | −0.151241 | + | 0.261957i | ||||
\(141\) | −18.3845 | + | 15.4264i | −1.54825 | + | 1.29914i | ||||
\(142\) | 6.74986 | 0.566436 | ||||||||
\(143\) | −2.74169 | + | 2.30055i | −0.229272 | + | 0.192382i | ||||
\(144\) | −4.46812 | − | 1.62626i | −0.372343 | − | 0.135522i | ||||
\(145\) | −1.17160 | − | 6.64448i | −0.0972962 | − | 0.551794i | ||||
\(146\) | 0.329974 | − | 1.87138i | 0.0273089 | − | 0.154876i | ||||
\(147\) | −16.1776 | −1.33431 | ||||||||
\(148\) | 3.10919 | + | 5.22809i | 0.255574 | + | 0.429747i | ||||
\(149\) | 19.3649 | 1.58643 | 0.793216 | − | 0.608941i | \(-0.208405\pi\) | ||||
0.793216 | + | 0.608941i | \(0.208405\pi\) | |||||||
\(150\) | 0.483568 | − | 2.74245i | 0.0394832 | − | 0.223920i | ||||
\(151\) | 1.62800 | + | 9.23283i | 0.132485 | + | 0.751357i | 0.976578 | + | 0.215162i | \(0.0690278\pi\) |
−0.844094 | + | 0.536195i | \(0.819861\pi\) | |||||||
\(152\) | 5.73114 | + | 2.08597i | 0.464857 | + | 0.169194i | ||||
\(153\) | 0.410332 | − | 0.344309i | 0.0331734 | − | 0.0278358i | ||||
\(154\) | 8.46481 | 0.682114 | ||||||||
\(155\) | 7.49314 | − | 6.28749i | 0.601864 | − | 0.505024i | ||||
\(156\) | −2.10702 | + | 3.64946i | −0.168696 | + | 0.292191i | ||||
\(157\) | −22.7804 | + | 8.29137i | −1.81807 | + | 0.661724i | −0.822385 | + | 0.568931i | \(0.807357\pi\) |
−0.995685 | + | 0.0927923i | \(0.970421\pi\) | |||||||
\(158\) | −6.27860 | − | 10.8749i | −0.499499 | − | 0.865157i | ||||
\(159\) | −1.69856 | + | 2.94200i | −0.134705 | + | 0.233315i | ||||
\(160\) | 0.173648 | − | 0.984808i | 0.0137281 | − | 0.0778559i | ||||
\(161\) | −0.576565 | − | 0.209852i | −0.0454397 | − | 0.0165387i | ||||
\(162\) | −0.327892 | − | 0.567925i | −0.0257616 | − | 0.0446204i | ||||
\(163\) | −7.65190 | − | 6.42070i | −0.599343 | − | 0.502908i | 0.291892 | − | 0.956451i | \(-0.405715\pi\) |
−0.891234 | + | 0.453543i | \(0.850160\pi\) | |||||||
\(164\) | −9.33262 | − | 7.83099i | −0.728755 | − | 0.611498i | ||||
\(165\) | −6.18910 | + | 2.25265i | −0.481821 | + | 0.175368i | ||||
\(166\) | 0.273937 | + | 1.55357i | 0.0212616 | + | 0.120581i | ||||
\(167\) | −0.120664 | − | 0.684322i | −0.00933729 | − | 0.0529544i | 0.979783 | − | 0.200063i | \(-0.0641146\pi\) |
−0.989120 | + | 0.147108i | \(0.953003\pi\) | |||||||
\(168\) | 9.36562 | − | 3.40881i | 0.722573 | − | 0.262995i | ||||
\(169\) | −8.20439 | − | 6.88430i | −0.631107 | − | 0.529562i | ||||
\(170\) | 0.0862971 | + | 0.0724119i | 0.00661869 | + | 0.00555374i | ||||
\(171\) | −14.4999 | − | 25.1145i | −1.10883 | − | 1.92056i | ||||
\(172\) | 6.50032 | + | 2.36592i | 0.495645 | + | 0.180400i | ||||
\(173\) | −2.72320 | + | 15.4441i | −0.207041 | + | 1.17419i | 0.687154 | + | 0.726512i | \(0.258860\pi\) |
−0.894195 | + | 0.447678i | \(0.852251\pi\) | |||||||
\(174\) | −9.39435 | + | 16.2715i | −0.712184 | + | 1.23354i | ||||
\(175\) | 1.78951 | + | 3.09952i | 0.135274 | + | 0.234301i | ||||
\(176\) | −2.22249 | + | 0.808920i | −0.167526 | + | 0.0609747i | ||||
\(177\) | −1.06793 | + | 1.84971i | −0.0802707 | + | 0.139033i | ||||
\(178\) | −12.1158 | + | 10.1663i | −0.908115 | + | 0.761999i | ||||
\(179\) | 20.1110 | 1.50317 | 0.751583 | − | 0.659639i | \(-0.229291\pi\) | ||||
0.751583 | + | 0.659639i | \(0.229291\pi\) | |||||||
\(180\) | −3.64245 | + | 3.05638i | −0.271492 | + | 0.227809i | ||||
\(181\) | −10.7325 | − | 3.90630i | −0.797739 | − | 0.290353i | −0.0891895 | − | 0.996015i | \(-0.528428\pi\) |
−0.708549 | + | 0.705662i | \(0.750650\pi\) | |||||||
\(182\) | −0.940469 | − | 5.33366i | −0.0697122 | − | 0.395357i | ||||
\(183\) | −1.40005 | + | 7.94007i | −0.103495 | + | 0.586947i | ||||
\(184\) | 0.171435 | 0.0126383 | ||||||||
\(185\) | 6.08225 | − | 0.0785877i | 0.447176 | − | 0.00577788i | ||||
\(186\) | −27.2394 | −1.99729 | ||||||||
\(187\) | 0.0462665 | − | 0.262390i | 0.00338334 | − | 0.0191879i | ||||
\(188\) | 1.49651 | + | 8.48714i | 0.109144 | + | 0.618988i | ||||
\(189\) | −16.4355 | − | 5.98203i | −1.19551 | − | 0.435129i | ||||
\(190\) | 4.67207 | − | 3.92033i | 0.338948 | − | 0.284411i | ||||
\(191\) | −6.50559 | −0.470728 | −0.235364 | − | 0.971907i | \(-0.575628\pi\) | ||||
−0.235364 | + | 0.971907i | \(0.575628\pi\) | |||||||
\(192\) | −2.13325 | + | 1.79001i | −0.153954 | + | 0.129183i | ||||
\(193\) | −8.30280 | + | 14.3809i | −0.597649 | + | 1.03516i | 0.395518 | + | 0.918458i | \(0.370565\pi\) |
−0.993167 | + | 0.116700i | \(0.962768\pi\) | |||||||
\(194\) | −15.7473 | + | 5.73156i | −1.13059 | + | 0.411502i | ||||
\(195\) | 2.10702 | + | 3.64946i | 0.150887 | + | 0.261343i | ||||
\(196\) | −2.90467 | + | 5.03104i | −0.207477 | + | 0.359360i | ||||
\(197\) | −1.59464 | + | 9.04363i | −0.113613 | + | 0.644332i | 0.873814 | + | 0.486259i | \(0.161639\pi\) |
−0.987428 | + | 0.158072i | \(0.949472\pi\) | |||||||
\(198\) | 10.5677 | + | 3.84632i | 0.751011 | + | 0.273346i | ||||
\(199\) | −1.18870 | − | 2.05890i | −0.0842650 | − | 0.145951i | 0.820813 | − | 0.571197i | \(-0.193521\pi\) |
−0.905078 | + | 0.425246i | \(0.860188\pi\) | |||||||
\(200\) | −0.766044 | − | 0.642788i | −0.0541675 | − | 0.0454519i | ||||
\(201\) | −0.129878 | − | 0.108981i | −0.00916089 | − | 0.00768690i | ||||
\(202\) | 7.81601 | − | 2.84480i | 0.549933 | − | 0.200159i | ||||
\(203\) | −4.19318 | − | 23.7807i | −0.294303 | − | 1.66908i | ||||
\(204\) | −0.0544753 | − | 0.308945i | −0.00381404 | − | 0.0216305i | ||||
\(205\) | −11.4481 | + | 4.16679i | −0.799573 | + | 0.291021i | ||||
\(206\) | 3.69980 | + | 3.10450i | 0.257778 | + | 0.216301i | ||||
\(207\) | −0.624442 | − | 0.523969i | −0.0434017 | − | 0.0364184i | ||||
\(208\) | 0.756625 | + | 1.31051i | 0.0524625 | + | 0.0908677i | ||||
\(209\) | −13.5549 | − | 4.93357i | −0.937610 | − | 0.341262i | ||||
\(210\) | 1.73070 | − | 9.81527i | 0.119429 | − | 0.677318i | ||||
\(211\) | 9.19843 | − | 15.9321i | 0.633246 | − | 1.09681i | −0.353638 | − | 0.935382i | \(-0.615055\pi\) |
0.986884 | − | 0.161432i | \(-0.0516112\pi\) | |||||||
\(212\) | 0.609950 | + | 1.05646i | 0.0418915 | + | 0.0725582i | ||||
\(213\) | −17.6631 | + | 6.42886i | −1.21026 | + | 0.440498i | ||||
\(214\) | −2.23681 | + | 3.87427i | −0.152905 | + | 0.264840i | ||||
\(215\) | 5.29911 | − | 4.44648i | 0.361396 | − | 0.303247i | ||||
\(216\) | 4.88690 | 0.332512 | ||||||||
\(217\) | 26.8181 | − | 22.5030i | 1.82053 | − | 1.52760i | ||||
\(218\) | 6.94844 | + | 2.52902i | 0.470608 | + | 0.171287i | ||||
\(219\) | 0.918899 | + | 5.21134i | 0.0620934 | + | 0.352149i | ||||
\(220\) | −0.410700 | + | 2.32919i | −0.0276894 | + | 0.157034i | ||||
\(221\) | −0.170472 | −0.0114672 | ||||||||
\(222\) | −13.1156 | − | 10.7196i | −0.880264 | − | 0.719455i | ||||
\(223\) | −5.26544 | −0.352600 | −0.176300 | − | 0.984337i | \(-0.556413\pi\) | ||||
−0.176300 | + | 0.984337i | \(0.556413\pi\) | |||||||
\(224\) | 0.621489 | − | 3.52464i | 0.0415250 | − | 0.235500i | ||||
\(225\) | 0.825676 | + | 4.68264i | 0.0550450 | + | 0.312176i | ||||
\(226\) | 14.8897 | + | 5.41941i | 0.990449 | + | 0.360494i | ||||
\(227\) | −8.24715 | + | 6.92018i | −0.547383 | + | 0.459309i | −0.874054 | − | 0.485829i | \(-0.838518\pi\) |
0.326671 | + | 0.945138i | \(0.394073\pi\) | |||||||
\(228\) | −16.9841 | −1.12480 | ||||||||
\(229\) | 16.7915 | − | 14.0898i | 1.10962 | − | 0.931079i | 0.111583 | − | 0.993755i | \(-0.464408\pi\) |
0.998034 | + | 0.0626764i | \(0.0199636\pi\) | |||||||
\(230\) | 0.0857174 | − | 0.148467i | 0.00565204 | − | 0.00978961i | ||||
\(231\) | −22.1509 | + | 8.06226i | −1.45742 | + | 0.530457i | ||||
\(232\) | 3.37349 | + | 5.84306i | 0.221480 | + | 0.383615i | ||||
\(233\) | −2.26640 | + | 3.92552i | −0.148477 | + | 0.257169i | −0.930665 | − | 0.365873i | \(-0.880770\pi\) |
0.782188 | + | 0.623043i | \(0.214104\pi\) | |||||||
\(234\) | 1.24945 | − | 7.08600i | 0.0816793 | − | 0.463226i | ||||
\(235\) | 8.09833 | + | 2.94755i | 0.528277 | + | 0.192277i | ||||
\(236\) | 0.383492 | + | 0.664227i | 0.0249632 | + | 0.0432375i | ||||
\(237\) | 26.7876 | + | 22.4775i | 1.74004 | + | 1.46007i | ||||
\(238\) | 0.308859 | + | 0.259163i | 0.0200203 | + | 0.0167990i | ||||
\(239\) | 17.7116 | − | 6.44651i | 1.14567 | − | 0.416990i | 0.301712 | − | 0.953399i | \(-0.402442\pi\) |
0.843958 | + | 0.536409i | \(0.180220\pi\) | |||||||
\(240\) | 0.483568 | + | 2.74245i | 0.0312142 | + | 0.177024i | ||||
\(241\) | 4.40202 | + | 24.9651i | 0.283559 | + | 1.60814i | 0.710388 | + | 0.703810i | \(0.248519\pi\) |
−0.426829 | + | 0.904332i | \(0.640369\pi\) | |||||||
\(242\) | −5.08015 | + | 1.84902i | −0.326565 | + | 0.118860i | ||||
\(243\) | 12.6297 | + | 10.5976i | 0.810196 | + | 0.679835i | ||||
\(244\) | 2.21789 | + | 1.86103i | 0.141986 | + | 0.119140i | ||||
\(245\) | 2.90467 | + | 5.03104i | 0.185573 | + | 0.321421i | ||||
\(246\) | 31.8803 | + | 11.6035i | 2.03261 | + | 0.739811i | ||||
\(247\) | −1.60264 | + | 9.08903i | −0.101974 | + | 0.578321i | ||||
\(248\) | −4.89080 | + | 8.47112i | −0.310566 | + | 0.537916i | ||||
\(249\) | −2.19653 | − | 3.80451i | −0.139200 | − | 0.241101i | ||||
\(250\) | −0.939693 | + | 0.342020i | −0.0594314 | + | 0.0216313i | ||||
\(251\) | −5.62896 | + | 9.74965i | −0.355297 | + | 0.615393i | −0.987169 | − | 0.159680i | \(-0.948954\pi\) |
0.631872 | + | 0.775073i | \(0.282287\pi\) | |||||||
\(252\) | −13.0364 | + | 10.9388i | −0.821214 | + | 0.689080i | ||||
\(253\) | −0.405465 | −0.0254913 | ||||||||
\(254\) | −15.6972 | + | 13.1715i | −0.984930 | + | 0.826455i | ||||
\(255\) | −0.294792 | − | 0.107295i | −0.0184606 | − | 0.00671910i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −1.48951 | + | 8.44742i | −0.0929129 | + | 0.526935i | 0.902454 | + | 0.430786i | \(0.141764\pi\) |
−0.995367 | + | 0.0961491i | \(0.969347\pi\) | |||||||
\(258\) | −19.2635 | −1.19930 | ||||||||
\(259\) | 21.7685 | − | 0.281266i | 1.35263 | − | 0.0174770i | ||||
\(260\) | 1.51325 | 0.0938478 | ||||||||
\(261\) | 5.57082 | − | 31.5937i | 0.344825 | − | 1.95560i | ||||
\(262\) | −1.78179 | − | 10.1050i | −0.110079 | − | 0.624291i | ||||
\(263\) | 14.3053 | + | 5.20669i | 0.882100 | + | 0.321058i | 0.743057 | − | 0.669228i | \(-0.233375\pi\) |
0.139043 | + | 0.990286i | \(0.455597\pi\) | |||||||
\(264\) | 5.04540 | − | 4.23359i | 0.310523 | − | 0.260560i | ||||
\(265\) | 1.21990 | 0.0749378 | ||||||||
\(266\) | 16.7214 | − | 14.0309i | 1.02526 | − | 0.860291i | ||||
\(267\) | 22.0219 | − | 38.1430i | 1.34772 | − | 2.33432i | ||||
\(268\) | −0.0572111 | + | 0.0208231i | −0.00349472 | + | 0.00127198i | ||||
\(269\) | −6.14319 | − | 10.6403i | −0.374557 | − | 0.648752i | 0.615703 | − | 0.787978i | \(-0.288872\pi\) |
−0.990261 | + | 0.139226i | \(0.955539\pi\) | |||||||
\(270\) | 2.44345 | − | 4.23218i | 0.148704 | − | 0.257562i | ||||
\(271\) | 0.186840 | − | 1.05962i | 0.0113497 | − | 0.0643674i | −0.978607 | − | 0.205739i | \(-0.934040\pi\) |
0.989957 | + | 0.141372i | \(0.0451513\pi\) | |||||||
\(272\) | −0.105859 | − | 0.0385295i | −0.00641865 | − | 0.00233620i | ||||
\(273\) | 7.54104 | + | 13.0615i | 0.456405 | + | 0.790516i | ||||
\(274\) | 12.6989 | + | 10.6556i | 0.767166 | + | 0.643729i | ||||
\(275\) | 1.81179 | + | 1.52027i | 0.109255 | + | 0.0916759i | ||||
\(276\) | −0.448613 | + | 0.163282i | −0.0270033 | + | 0.00982841i | ||||
\(277\) | 1.76076 | + | 9.98575i | 0.105794 | + | 0.599985i | 0.990900 | + | 0.134597i | \(0.0429741\pi\) |
−0.885107 | + | 0.465388i | \(0.845915\pi\) | |||||||
\(278\) | −0.821003 | − | 4.65614i | −0.0492405 | − | 0.279257i | ||||
\(279\) | 43.7054 | − | 15.9075i | 2.61657 | − | 0.952355i | ||||
\(280\) | −2.74168 | − | 2.30055i | −0.163847 | − | 0.137484i | ||||
\(281\) | −12.4010 | − | 10.4056i | −0.739780 | − | 0.620749i | 0.192999 | − | 0.981199i | \(-0.438179\pi\) |
−0.932779 | + | 0.360450i | \(0.882623\pi\) | |||||||
\(282\) | −11.9996 | − | 20.7839i | −0.714567 | − | 1.23767i | ||||
\(283\) | 3.48054 | + | 1.26681i | 0.206897 | + | 0.0753043i | 0.443390 | − | 0.896329i | \(-0.353776\pi\) |
−0.236493 | + | 0.971633i | \(0.575998\pi\) | |||||||
\(284\) | −1.17210 | + | 6.64731i | −0.0695514 | + | 0.394446i | ||||
\(285\) | −8.49206 | + | 14.7087i | −0.503026 | + | 0.871267i | ||||
\(286\) | −1.78951 | − | 3.09953i | −0.105816 | − | 0.183279i | ||||
\(287\) | −40.9731 | + | 14.9130i | −2.41856 | + | 0.880286i | ||||
\(288\) | 2.37744 | − | 4.11784i | 0.140092 | − | 0.242646i | ||||
\(289\) | −13.0130 | + | 10.9192i | −0.765473 | + | 0.642308i | ||||
\(290\) | 6.74698 | 0.396196 | ||||||||
\(291\) | 35.7489 | − | 29.9969i | 2.09564 | − | 1.75845i | ||||
\(292\) | 1.78565 | + | 0.649923i | 0.104497 | + | 0.0380339i | ||||
\(293\) | 5.10322 | + | 28.9418i | 0.298133 | + | 1.69080i | 0.654188 | + | 0.756332i | \(0.273011\pi\) |
−0.356055 | + | 0.934465i | \(0.615878\pi\) | |||||||
\(294\) | 2.80921 | − | 15.9318i | 0.163837 | − | 0.929164i | ||||
\(295\) | 0.766984 | 0.0446555 | ||||||||
\(296\) | −5.68857 | + | 2.15410i | −0.330641 | + | 0.125205i | ||||
\(297\) | −11.5581 | −0.670671 | ||||||||
\(298\) | −3.36267 | + | 19.0707i | −0.194794 | + | 1.10473i | ||||
\(299\) | 0.0450484 | + | 0.255482i | 0.00260522 | + | 0.0147749i | ||||
\(300\) | 2.61682 | + | 0.952443i | 0.151082 | + | 0.0549893i | ||||
\(301\) | 18.9656 | − | 15.9140i | 1.09316 | − | 0.917269i | ||||
\(302\) | −9.37526 | −0.539486 | ||||||||
\(303\) | −17.7436 | + | 14.8886i | −1.01934 | + | 0.855328i | ||||
\(304\) | −3.04948 | + | 5.28185i | −0.174900 | + | 0.302935i | ||||
\(305\) | 2.72064 | − | 0.990233i | 0.155784 | − | 0.0567006i | ||||
\(306\) | 0.267825 | + | 0.463887i | 0.0153105 | + | 0.0265186i | ||||
\(307\) | −11.5004 | + | 19.9193i | −0.656362 | + | 1.13685i | 0.325189 | + | 0.945649i | \(0.394572\pi\) |
−0.981551 | + | 0.191203i | \(0.938761\pi\) | |||||||
\(308\) | −1.46990 | + | 8.33621i | −0.0837553 | + | 0.475000i | ||||
\(309\) | −12.6386 | − | 4.60006i | −0.718983 | − | 0.261689i | ||||
\(310\) | 4.89080 | + | 8.47112i | 0.277779 | + | 0.481127i | ||||
\(311\) | 19.0538 | + | 15.9880i | 1.08044 | + | 0.906598i | 0.995957 | − | 0.0898265i | \(-0.0286313\pi\) |
0.0844844 | + | 0.996425i | \(0.473076\pi\) | |||||||
\(312\) | −3.22814 | − | 2.70873i | −0.182757 | − | 0.153352i | ||||
\(313\) | 18.3524 | − | 6.67973i | 1.03734 | − | 0.377561i | 0.233469 | − | 0.972364i | \(-0.424992\pi\) |
0.803871 | + | 0.594804i | \(0.202770\pi\) | |||||||
\(314\) | −4.20964 | − | 23.8741i | −0.237564 | − | 1.34729i | ||||
\(315\) | 2.95510 | + | 16.7592i | 0.166501 | + | 0.944276i | ||||
\(316\) | 11.7999 | − | 4.29482i | 0.663797 | − | 0.241602i | ||||
\(317\) | −17.6130 | − | 14.7790i | −0.989243 | − | 0.830073i | −0.00378498 | − | 0.999993i | \(-0.501205\pi\) |
−0.985458 | + | 0.169919i | \(0.945649\pi\) | |||||||
\(318\) | −2.60235 | − | 2.18363i | −0.145932 | − | 0.122452i | ||||
\(319\) | −7.97872 | − | 13.8196i | −0.446723 | − | 0.773747i | ||||
\(320\) | 0.939693 | + | 0.342020i | 0.0525304 | + | 0.0191195i | ||||
\(321\) | 2.16330 | − | 12.2687i | 0.120744 | − | 0.684772i | ||||
\(322\) | 0.306784 | − | 0.531365i | 0.0170964 | − | 0.0296118i | ||||
\(323\) | −0.343532 | − | 0.595016i | −0.0191147 | − | 0.0331076i | ||||
\(324\) | 0.616235 | − | 0.224291i | 0.0342353 | − | 0.0124606i | ||||
\(325\) | 0.756625 | − | 1.31051i | 0.0419700 | − | 0.0726942i | ||||
\(326\) | 7.65190 | − | 6.42070i | 0.423799 | − | 0.355610i | ||||
\(327\) | −20.5915 | −1.13871 | ||||||||
\(328\) | 9.33262 | − | 7.83099i | 0.515308 | − | 0.432394i | ||||
\(329\) | 28.9840 | + | 10.5493i | 1.59794 | + | 0.581603i | ||||
\(330\) | −1.14370 | − | 6.48624i | −0.0629585 | − | 0.357056i | ||||
\(331\) | −3.34043 | + | 18.9445i | −0.183606 | + | 1.04128i | 0.744126 | + | 0.668039i | \(0.232866\pi\) |
−0.927733 | + | 0.373245i | \(0.878245\pi\) | |||||||
\(332\) | −1.57754 | −0.0865787 | ||||||||
\(333\) | 27.3041 | + | 9.54021i | 1.49625 | + | 0.522800i | ||||
\(334\) | 0.694879 | 0.0380221 | ||||||||
\(335\) | −0.0105722 | + | 0.0599578i | −0.000577620 | + | 0.00327585i | ||||
\(336\) | 1.73070 | + | 9.81527i | 0.0944173 | + | 0.535467i | ||||
\(337\) | −0.667007 | − | 0.242771i | −0.0363342 | − | 0.0132246i | 0.323789 | − | 0.946129i | \(-0.395043\pi\) |
−0.360123 | + | 0.932905i | \(0.617265\pi\) | |||||||
\(338\) | 8.20439 | − | 6.88430i | 0.446260 | − | 0.374457i | ||||
\(339\) | −44.1253 | −2.39656 | ||||||||
\(340\) | −0.0862971 | + | 0.0724119i | −0.00468012 | + | 0.00392708i | ||||
\(341\) | 11.5674 | − | 20.0352i | 0.626407 | − | 1.08497i | ||||
\(342\) | 27.2509 | − | 9.91851i | 1.47356 | − | 0.536332i | ||||
\(343\) | −2.13069 | − | 3.69046i | −0.115046 | − | 0.199266i | ||||
\(344\) | −3.45875 | + | 5.99073i | −0.186483 | + | 0.322998i | ||||
\(345\) | −0.0829004 | + | 0.470151i | −0.00446321 | + | 0.0253121i | ||||
\(346\) | −14.7365 | − | 5.36366i | −0.792242 | − | 0.288352i | ||||
\(347\) | −8.06873 | − | 13.9755i | −0.433152 | − | 0.750242i | 0.563991 | − | 0.825781i | \(-0.309265\pi\) |
−0.997143 | + | 0.0755395i | \(0.975932\pi\) | |||||||
\(348\) | −14.3930 | − | 12.0771i | −0.771545 | − | 0.647403i | ||||
\(349\) | −12.2171 | − | 10.2514i | −0.653968 | − | 0.548744i | 0.254304 | − | 0.967124i | \(-0.418154\pi\) |
−0.908272 | + | 0.418380i | \(0.862598\pi\) | |||||||
\(350\) | −3.36317 | + | 1.22409i | −0.179769 | + | 0.0654306i | ||||
\(351\) | 1.28415 | + | 7.28276i | 0.0685427 | + | 0.388725i | ||||
\(352\) | −0.410700 | − | 2.32919i | −0.0218904 | − | 0.124146i | ||||
\(353\) | −4.63616 | + | 1.68742i | −0.246758 | + | 0.0898125i | −0.462438 | − | 0.886652i | \(-0.653025\pi\) |
0.215680 | + | 0.976464i | \(0.430803\pi\) | |||||||
\(354\) | −1.63617 | − | 1.37291i | −0.0869613 | − | 0.0729692i | ||||
\(355\) | 5.17069 | + | 4.33873i | 0.274432 | + | 0.230276i | ||||
\(356\) | −7.90801 | − | 13.6971i | −0.419124 | − | 0.725943i | ||||
\(357\) | −1.05506 | − | 0.384012i | −0.0558399 | − | 0.0203241i | ||||
\(358\) | −3.49223 | + | 19.8054i | −0.184570 | + | 1.04675i | ||||
\(359\) | 13.2500 | − | 22.9496i | 0.699306 | − | 1.21123i | −0.269401 | − | 0.963028i | \(-0.586826\pi\) |
0.968707 | − | 0.248206i | \(-0.0798408\pi\) | |||||||
\(360\) | −2.37744 | − | 4.11784i | −0.125302 | − | 0.217029i | ||||
\(361\) | −17.0998 | + | 6.22383i | −0.899992 | + | 0.327570i | ||||
\(362\) | 5.71063 | − | 9.89110i | 0.300144 | − | 0.519865i | ||||
\(363\) | 11.5327 | − | 9.67711i | 0.605312 | − | 0.507917i | ||||
\(364\) | 5.41594 | 0.283873 | ||||||||
\(365\) | 1.45567 | − | 1.22146i | 0.0761935 | − | 0.0639339i | ||||
\(366\) | −7.57633 | − | 2.75756i | −0.396021 | − | 0.144140i | ||||
\(367\) | 1.33798 | + | 7.58806i | 0.0698420 | + | 0.396094i | 0.999609 | + | 0.0279461i | \(0.00889669\pi\) |
−0.929767 | + | 0.368147i | \(0.879992\pi\) | |||||||
\(368\) | −0.0297693 | + | 0.168830i | −0.00155183 | + | 0.00880089i | ||||
\(369\) | −57.9280 | −3.01561 | ||||||||
\(370\) | −0.978779 | + | 6.00350i | −0.0508843 | + | 0.312107i | ||||
\(371\) | 4.36604 | 0.226673 | ||||||||
\(372\) | 4.73007 | − | 26.8256i | 0.245243 | − | 1.39084i | ||||
\(373\) | −3.91552 | − | 22.2060i | −0.202738 | − | 1.14978i | −0.900960 | − | 0.433902i | \(-0.857136\pi\) |
0.698222 | − | 0.715881i | \(-0.253975\pi\) | |||||||
\(374\) | 0.250370 | + | 0.0911272i | 0.0129463 | + | 0.00471207i | ||||
\(375\) | 2.13325 | − | 1.79001i | 0.110160 | − | 0.0924356i | ||||
\(376\) | −8.61807 | −0.444443 | ||||||||
\(377\) | −7.82121 | + | 6.56278i | −0.402813 | + | 0.338000i | ||||
\(378\) | 8.74515 | − | 15.1470i | 0.449802 | − | 0.779080i | ||||
\(379\) | 16.4822 | − | 5.99903i | 0.846634 | − | 0.308150i | 0.117967 | − | 0.993018i | \(-0.462362\pi\) |
0.728667 | + | 0.684868i | \(0.240140\pi\) | |||||||
\(380\) | 3.04948 | + | 5.28185i | 0.156435 | + | 0.270953i | ||||
\(381\) | 28.5316 | − | 49.4181i | 1.46172 | − | 2.53177i | ||||
\(382\) | 1.12968 | − | 6.40675i | 0.0577996 | − | 0.327798i | ||||
\(383\) | −17.7633 | − | 6.46531i | −0.907661 | − | 0.330362i | −0.154343 | − | 0.988017i | \(-0.549326\pi\) |
−0.753319 | + | 0.657656i | \(0.771548\pi\) | |||||||
\(384\) | −1.39238 | − | 2.41167i | −0.0710545 | − | 0.123070i | ||||
\(385\) | 6.48442 | + | 5.44108i | 0.330477 | + | 0.277303i | ||||
\(386\) | −12.7206 | − | 10.6739i | −0.647463 | − | 0.543286i | ||||
\(387\) | 30.9082 | − | 11.2497i | 1.57115 | − | 0.571853i | ||||
\(388\) | −2.90999 | − | 16.5034i | −0.147732 | − | 0.837831i | ||||
\(389\) | 3.01568 | + | 17.1028i | 0.152901 | + | 0.867145i | 0.960680 | + | 0.277659i | \(0.0895585\pi\) |
−0.807779 | + | 0.589486i | \(0.799330\pi\) | |||||||
\(390\) | −3.95990 | + | 1.44128i | −0.200517 | + | 0.0729823i | ||||
\(391\) | −0.0147943 | − | 0.0124139i | −0.000748181 | − | 0.000627798i | ||||
\(392\) | −4.45021 | − | 3.73417i | −0.224770 | − | 0.188604i | ||||
\(393\) | 14.2871 | + | 24.7460i | 0.720689 | + | 1.24827i | ||||
\(394\) | −8.62933 | − | 3.14082i | −0.434739 | − | 0.158232i | ||||
\(395\) | 2.18054 | − | 12.3664i | 0.109715 | − | 0.622223i | ||||
\(396\) | −5.62294 | + | 9.73921i | −0.282563 | + | 0.489414i | ||||
\(397\) | −1.06828 | − | 1.85032i | −0.0536157 | − | 0.0928650i | 0.837972 | − | 0.545713i | \(-0.183741\pi\) |
−0.891588 | + | 0.452848i | \(0.850408\pi\) | |||||||
\(398\) | 2.23403 | − | 0.813122i | 0.111982 | − | 0.0407581i | ||||
\(399\) | −30.3932 | + | 52.6426i | −1.52156 | + | 2.63542i | ||||
\(400\) | 0.766044 | − | 0.642788i | 0.0383022 | − | 0.0321394i | ||||
\(401\) | 37.3981 | 1.86757 | 0.933785 | − | 0.357835i | \(-0.116485\pi\) | ||||
0.933785 | + | 0.357835i | \(0.116485\pi\) | |||||||
\(402\) | 0.129878 | − | 0.108981i | 0.00647773 | − | 0.00543546i | ||||
\(403\) | −13.9093 | − | 5.06258i | −0.692873 | − | 0.252185i | ||||
\(404\) | 1.44434 | + | 8.19126i | 0.0718586 | + | 0.407530i | ||||
\(405\) | 0.113876 | − | 0.645821i | 0.00565852 | − | 0.0320911i | ||||
\(406\) | 24.1475 | 1.19842 | ||||||||
\(407\) | 13.4542 | − | 5.09472i | 0.666899 | − | 0.252536i | ||||
\(408\) | 0.313711 | 0.0155310 | ||||||||
\(409\) | 6.64741 | − | 37.6993i | 0.328693 | − | 1.86411i | −0.153645 | − | 0.988126i | \(-0.549101\pi\) |
0.482338 | − | 0.875985i | \(-0.339788\pi\) | |||||||
\(410\) | −2.11553 | − | 11.9978i | −0.104479 | − | 0.592528i | ||||
\(411\) | −43.3794 | − | 15.7888i | −2.13975 | − | 0.778805i | ||||
\(412\) | −3.69980 | + | 3.10450i | −0.182276 | + | 0.152948i | ||||
\(413\) | 2.74504 | 0.135075 | ||||||||
\(414\) | 0.624442 | − | 0.523969i | 0.0306896 | − | 0.0257517i | ||||
\(415\) | −0.788770 | + | 1.36619i | −0.0387192 | + | 0.0670636i | ||||
\(416\) | −1.42199 | + | 0.517562i | −0.0697188 | + | 0.0253756i | ||||
\(417\) | 6.58312 | + | 11.4023i | 0.322377 | + | 0.558373i | ||||
\(418\) | 7.21240 | − | 12.4922i | 0.352770 | − | 0.611015i | ||||
\(419\) | −5.33161 | + | 30.2371i | −0.260466 | + | 1.47718i | 0.521175 | + | 0.853450i | \(0.325494\pi\) |
−0.781642 | + | 0.623728i | \(0.785617\pi\) | |||||||
\(420\) | 9.36562 | + | 3.40881i | 0.456996 | + | 0.166333i | ||||
\(421\) | −8.75076 | − | 15.1568i | −0.426486 | − | 0.738695i | 0.570072 | − | 0.821595i | \(-0.306915\pi\) |
−0.996558 | + | 0.0828994i | \(0.973582\pi\) | |||||||
\(422\) | 14.0928 | + | 11.8253i | 0.686027 | + | 0.575645i | ||||
\(423\) | 31.3908 | + | 26.3400i | 1.52627 | + | 1.28070i | ||||
\(424\) | −1.14633 | + | 0.417230i | −0.0556707 | + | 0.0202625i | ||||
\(425\) | 0.0195620 | + | 0.110941i | 0.000948895 | + | 0.00538145i | ||||
\(426\) | −3.26402 | − | 18.5112i | −0.158142 | − | 0.896869i | ||||
\(427\) | 9.73722 | − | 3.54406i | 0.471217 | − | 0.171509i | ||||
\(428\) | −3.42699 | − | 2.87559i | −0.165650 | − | 0.138997i | ||||
\(429\) | 7.63495 | + | 6.40648i | 0.368619 | + | 0.309308i | ||||
\(430\) | 3.45875 | + | 5.99073i | 0.166796 | + | 0.288898i | ||||
\(431\) | 15.1315 | + | 5.50743i | 0.728861 | + | 0.265284i | 0.679683 | − | 0.733506i | \(-0.262118\pi\) |
0.0491783 | + | 0.998790i | \(0.484340\pi\) | |||||||
\(432\) | −0.848602 | + | 4.81266i | −0.0408284 | + | 0.231549i | ||||
\(433\) | −0.776035 | + | 1.34413i | −0.0372938 | + | 0.0645948i | −0.884070 | − | 0.467355i | \(-0.845207\pi\) |
0.846776 | + | 0.531950i | \(0.178540\pi\) | |||||||
\(434\) | 17.5042 | + | 30.3182i | 0.840231 | + | 1.45532i | ||||
\(435\) | −17.6556 | + | 6.42612i | −0.846522 | + | 0.308109i | ||||
\(436\) | −3.69719 | + | 6.40372i | −0.177063 | + | 0.306682i | ||||
\(437\) | −0.800955 | + | 0.672081i | −0.0383149 | + | 0.0321500i | ||||
\(438\) | −5.29173 | −0.252849 | ||||||||
\(439\) | −17.8809 | + | 15.0039i | −0.853409 | + | 0.716095i | −0.960538 | − | 0.278150i | \(-0.910279\pi\) |
0.107128 | + | 0.994245i | \(0.465834\pi\) | |||||||
\(440\) | −2.22249 | − | 0.808920i | −0.105953 | − | 0.0385638i | ||||
\(441\) | 4.79663 | + | 27.2031i | 0.228411 | + | 1.29538i | ||||
\(442\) | 0.0296021 | − | 0.167882i | 0.00140803 | − | 0.00798534i | ||||
\(443\) | −37.4466 | −1.77914 | −0.889571 | − | 0.456797i | \(-0.848996\pi\) | ||||
−0.889571 | + | 0.456797i | \(0.848996\pi\) | |||||||
\(444\) | 12.8343 | − | 11.0549i | 0.609088 | − | 0.524644i | ||||
\(445\) | −15.8160 | −0.749751 | ||||||||
\(446\) | 0.914334 | − | 5.18544i | 0.0432949 | − | 0.245538i | ||||
\(447\) | −9.36423 | − | 53.1072i | −0.442913 | − | 2.51188i | ||||
\(448\) | 3.36317 | + | 1.22409i | 0.158895 | + | 0.0578331i | ||||
\(449\) | 8.65329 | − | 7.26097i | 0.408374 | − | 0.342666i | −0.415346 | − | 0.909664i | \(-0.636339\pi\) |
0.823720 | + | 0.566997i | \(0.191895\pi\) | |||||||
\(450\) | −4.75488 | −0.224147 | ||||||||
\(451\) | −22.0728 | + | 18.5213i | −1.03937 | + | 0.872133i | ||||
\(452\) | −7.92265 | + | 13.7224i | −0.372650 | + | 0.645449i | ||||
\(453\) | 24.5333 | − | 8.92940i | 1.15268 | − | 0.419540i | ||||
\(454\) | −5.38295 | − | 9.32354i | −0.252634 | − | 0.437575i | ||||
\(455\) | 2.70797 | − | 4.69034i | 0.126952 | − | 0.219887i | ||||
\(456\) | 2.94926 | − | 16.7261i | 0.138112 | − | 0.783271i | ||||
\(457\) | 12.8158 | + | 4.66457i | 0.599498 | + | 0.218200i | 0.623902 | − | 0.781503i | \(-0.285546\pi\) |
−0.0244036 | + | 0.999702i | \(0.507769\pi\) | |||||||
\(458\) | 10.9599 | + | 18.9831i | 0.512123 | + | 0.887022i | ||||
\(459\) | −0.421726 | − | 0.353870i | −0.0196845 | − | 0.0165172i | ||||
\(460\) | 0.131327 | + | 0.110196i | 0.00612314 | + | 0.00513792i | ||||
\(461\) | 0.651867 | − | 0.237260i | 0.0303605 | − | 0.0110503i | −0.326795 | − | 0.945095i | \(-0.605969\pi\) |
0.357156 | + | 0.934045i | \(0.383747\pi\) | |||||||
\(462\) | −4.09331 | − | 23.2143i | −0.190438 | − | 1.08003i | ||||
\(463\) | 5.15338 | + | 29.2263i | 0.239498 | + | 1.35826i | 0.832931 | + | 0.553377i | \(0.186661\pi\) |
−0.593433 | + | 0.804884i | \(0.702228\pi\) | |||||||
\(464\) | −6.34009 | + | 2.30760i | −0.294331 | + | 0.107128i | ||||
\(465\) | −20.8666 | − | 17.5091i | −0.967665 | − | 0.811967i | ||||
\(466\) | −3.47233 | − | 2.91363i | −0.160852 | − | 0.134971i | ||||
\(467\) | −10.9107 | − | 18.8979i | −0.504887 | − | 0.874489i | −0.999984 | − | 0.00565181i | \(-0.998201\pi\) |
0.495097 | − | 0.868837i | \(-0.335132\pi\) | |||||||
\(468\) | 6.76138 | + | 2.46094i | 0.312545 | + | 0.113757i | ||||
\(469\) | −0.0378380 | + | 0.214590i | −0.00174720 | + | 0.00990884i | ||||
\(470\) | −4.30903 | + | 7.46346i | −0.198761 | + | 0.344264i | ||||
\(471\) | 33.7545 | + | 58.4646i | 1.55533 | + | 2.69391i | ||||
\(472\) | −0.720729 | + | 0.262324i | −0.0331742 | + | 0.0120744i | ||||
\(473\) | 8.18037 | − | 14.1688i | 0.376134 | − | 0.651483i | ||||
\(474\) | −26.7876 | + | 22.4775i | −1.23040 | + | 1.03243i | ||||
\(475\) | 6.09896 | 0.279839 | ||||||||
\(476\) | −0.308859 | + | 0.259163i | −0.0141565 | + | 0.0118787i | ||||
\(477\) | 5.45066 | + | 1.98388i | 0.249568 | + | 0.0908355i | ||||
\(478\) | 3.27298 | + | 18.5620i | 0.149702 | + | 0.849005i | ||||
\(479\) | −1.18395 | + | 6.71451i | −0.0540960 | + | 0.306794i | −0.999836 | − | 0.0181318i | \(-0.994228\pi\) |
0.945740 | + | 0.324926i | \(0.105339\pi\) | |||||||
\(480\) | −2.78476 | −0.127106 | ||||||||
\(481\) | −4.70498 | − | 7.91141i | −0.214528 | − | 0.360729i | ||||
\(482\) | −25.3502 | −1.15467 | ||||||||
\(483\) | −0.296702 | + | 1.68268i | −0.0135004 | + | 0.0765645i | ||||
\(484\) | −0.938774 | − | 5.32405i | −0.0426716 | − | 0.242002i | ||||
\(485\) | −15.7473 | − | 5.73156i | −0.715049 | − | 0.260257i | ||||
\(486\) | −12.6297 | + | 10.5976i | −0.572895 | + | 0.480716i | ||||
\(487\) | 1.23013 | 0.0557427 | 0.0278714 | − | 0.999612i | \(-0.491127\pi\) | ||||
0.0278714 | + | 0.999612i | \(0.491127\pi\) | |||||||
\(488\) | −2.21789 | + | 1.86103i | −0.100399 | + | 0.0842448i | ||||
\(489\) | −13.9083 | + | 24.0898i | −0.628953 | + | 1.08938i | ||||
\(490\) | −5.45900 | + | 1.98691i | −0.246612 | + | 0.0897595i | ||||
\(491\) | 1.97722 | + | 3.42464i | 0.0892307 | + | 0.154552i | 0.907186 | − | 0.420729i | \(-0.138226\pi\) |
−0.817955 | + | 0.575282i | \(0.804893\pi\) | |||||||
\(492\) | −16.9632 | + | 29.3811i | −0.764759 | + | 1.32460i | ||||
\(493\) | 0.131984 | − | 0.748520i | 0.00594427 | − | 0.0337116i | ||||
\(494\) | −8.67265 | − | 3.15659i | −0.390201 | − | 0.142022i | ||||
\(495\) | 5.62294 | + | 9.73921i | 0.252732 | + | 0.437745i | ||||
\(496\) | −7.49314 | − | 6.28749i | −0.336452 | − | 0.282317i | ||||
\(497\) | 18.5060 | + | 15.5284i | 0.830107 | + | 0.696542i | ||||
\(498\) | 4.12813 | − | 1.50252i | 0.184986 | − | 0.0673294i | ||||
\(499\) | 1.33803 | + | 7.58834i | 0.0598984 | + | 0.339701i | 0.999999 | − | 0.00119565i | \(-0.000380587\pi\) |
−0.940101 | + | 0.340896i | \(0.889269\pi\) | |||||||
\(500\) | −0.173648 | − | 0.984808i | −0.00776578 | − | 0.0440419i | ||||
\(501\) | −1.81837 | + | 0.661832i | −0.0812388 | + | 0.0295685i | ||||
\(502\) | −8.62407 | − | 7.23646i | −0.384911 | − | 0.322979i | ||||
\(503\) | 10.3600 | + | 8.69311i | 0.461932 | + | 0.387607i | 0.843841 | − | 0.536593i | \(-0.180289\pi\) |
−0.381909 | + | 0.924200i | \(0.624733\pi\) | |||||||
\(504\) | −8.50888 | − | 14.7378i | −0.379016 | − | 0.656475i | ||||
\(505\) | 7.81601 | + | 2.84480i | 0.347808 | + | 0.126592i | ||||
\(506\) | 0.0704082 | − | 0.399305i | 0.00313003 | − | 0.0177513i | ||||
\(507\) | −14.9125 | + | 25.8292i | −0.662287 | + | 1.14711i | ||||
\(508\) | −10.2456 | − | 17.7459i | −0.454576 | − | 0.787349i | ||||
\(509\) | −3.16579 | + | 1.15225i | −0.140321 | + | 0.0510728i | −0.411226 | − | 0.911533i | \(-0.634899\pi\) |
0.270905 | + | 0.962606i | \(0.412677\pi\) | |||||||
\(510\) | 0.156855 | − | 0.271682i | 0.00694568 | − | 0.0120303i | ||||
\(511\) | 5.20988 | − | 4.37161i | 0.230471 | − | 0.193388i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −22.8320 | + | 19.1583i | −1.00806 | + | 0.845859i | ||||
\(514\) | −8.06043 | − | 2.93376i | −0.355530 | − | 0.129402i | ||||
\(515\) | 0.838678 | + | 4.75638i | 0.0369565 | + | 0.209591i | ||||
\(516\) | 3.34508 | − | 18.9709i | 0.147259 | − | 0.835147i | ||||
\(517\) | 20.3828 | 0.896435 | ||||||||
\(518\) | −3.50306 | + | 21.4866i | −0.153916 | + | 0.944067i | ||||
\(519\) | 43.6714 | 1.91696 | ||||||||
\(520\) | −0.262773 | + | 1.49026i | −0.0115234 | + | 0.0653522i | ||||
\(521\) | −0.0935854 | − | 0.530749i | −0.00410005 | − | 0.0232525i | 0.982689 | − | 0.185262i | \(-0.0593135\pi\) |
−0.986789 | + | 0.162010i | \(0.948202\pi\) | |||||||
\(522\) | 30.1463 | + | 10.9724i | 1.31947 | + | 0.480247i | ||||
\(523\) | 15.0930 | − | 12.6645i | 0.659971 | − | 0.553782i | −0.250107 | − | 0.968218i | \(-0.580466\pi\) |
0.910078 | + | 0.414436i | \(0.136021\pi\) | |||||||
\(524\) | 10.2609 | 0.448251 | ||||||||
\(525\) | 7.63493 | − | 6.40646i | 0.333215 | − | 0.279601i | ||||
\(526\) | −7.61167 | + | 13.1838i | −0.331885 | + | 0.574841i | ||||
\(527\) | 1.03547 | − | 0.376881i | 0.0451058 | − | 0.0164172i | ||||
\(528\) | 3.29315 | + | 5.70390i | 0.143316 | + | 0.248230i | ||||
\(529\) | 11.4853 | − | 19.8931i | 0.499361 | − | 0.864919i | ||||
\(530\) | −0.211833 | + | 1.20137i | −0.00920145 | + | 0.0521840i | ||||
\(531\) | 3.42698 | + | 1.24732i | 0.148718 | + | 0.0541290i | ||||
\(532\) | 10.9141 | + | 18.9038i | 0.473187 | + | 0.819585i | ||||
\(533\) | 14.1226 | + | 11.8503i | 0.611717 | + | 0.513291i | ||||
\(534\) | 33.7395 | + | 28.3108i | 1.46005 | + | 1.22513i | ||||
\(535\) | −4.20383 | + | 1.53007i | −0.181747 | + | 0.0661507i | ||||
\(536\) | −0.0105722 | − | 0.0599578i | −0.000456649 | − | 0.00258978i | ||||
\(537\) | −9.72503 | − | 55.1534i | −0.419666 | − | 2.38004i | ||||
\(538\) | 11.5454 | − | 4.20219i | 0.497759 | − | 0.181169i | ||||
\(539\) | 10.5253 | + | 8.83179i | 0.453357 | + | 0.380412i | ||||
\(540\) | 3.74359 | + | 3.14124i | 0.161098 | + | 0.135178i | ||||
\(541\) | 0.709468 | + | 1.22883i | 0.0305024 | + | 0.0528317i | 0.880874 | − | 0.473352i | \(-0.156956\pi\) |
−0.850371 | + | 0.526183i | \(0.823623\pi\) | |||||||
\(542\) | 1.01108 | + | 0.368002i | 0.0434295 | + | 0.0158071i | ||||
\(543\) | −5.52296 | + | 31.3223i | −0.237013 | + | 1.34417i | ||||
\(544\) | 0.0563264 | − | 0.0975602i | 0.00241498 | − | 0.00418286i | ||||
\(545\) | 3.69719 | + | 6.40372i | 0.158370 | + | 0.274305i | ||||
\(546\) | −14.1725 | + | 5.15838i | −0.606528 | + | 0.220758i | ||||
\(547\) | 0.259706 | − | 0.449824i | 0.0111042 | − | 0.0192331i | −0.860420 | − | 0.509586i | \(-0.829799\pi\) |
0.871524 | + | 0.490353i | \(0.163132\pi\) | |||||||
\(548\) | −12.6989 | + | 10.6556i | −0.542468 | + | 0.455185i | ||||
\(549\) | 13.7665 | 0.587542 | ||||||||
\(550\) | −1.81179 | + | 1.52027i | −0.0772550 | + | 0.0648246i | ||||
\(551\) | −38.6679 | − | 14.0740i | −1.64731 | − | 0.599571i | ||||
\(552\) | −0.0829004 | − | 0.470151i | −0.00352847 | − | 0.0200110i | ||||
\(553\) | 7.80417 | − | 44.2596i | 0.331867 | − | 1.88211i | ||||
\(554\) | −10.1398 | −0.430799 | ||||||||
\(555\) | −3.15671 | − | 16.6423i | −0.133995 | − | 0.706426i | ||||
\(556\) | 4.72797 | 0.200510 | ||||||||
\(557\) | −1.16369 | + | 6.59960i | −0.0493070 | + | 0.279634i | −0.999486 | − | 0.0320722i | \(-0.989789\pi\) |
0.950179 | + | 0.311706i | \(0.100900\pi\) | |||||||
\(558\) | 8.07643 | + | 45.8037i | 0.341902 | + | 1.93903i | ||||
\(559\) | −9.83661 | − | 3.58023i | −0.416044 | − | 0.151428i | ||||
\(560\) | 2.74168 | − | 2.30055i | 0.115857 | − | 0.0972158i | ||||
\(561\) | −0.741965 | −0.0313258 | ||||||||
\(562\) | 12.4010 | − | 10.4056i | 0.523103 | − | 0.438936i | ||||
\(563\) | −3.56004 | + | 6.16618i | −0.150038 | + | 0.259873i | −0.931241 | − | 0.364403i | \(-0.881273\pi\) |
0.781203 | + | 0.624277i | \(0.214606\pi\) | |||||||
\(564\) | 22.5519 | − | 8.20822i | 0.949606 | − | 0.345628i | ||||
\(565\) | 7.92265 | + | 13.7224i | 0.333308 | + | 0.577307i | ||||
\(566\) | −1.85196 | + | 3.20768i | −0.0778436 | + | 0.134829i | ||||
\(567\) | 0.407562 | − | 2.31140i | 0.0171160 | − | 0.0970697i | ||||
\(568\) | −6.34279 | − | 2.30859i | −0.266138 | − | 0.0968662i | ||||
\(569\) | −14.4706 | − | 25.0638i | −0.606638 | − | 1.05073i | −0.991790 | − | 0.127875i | \(-0.959184\pi\) |
0.385152 | − | 0.922853i | \(-0.374149\pi\) | |||||||
\(570\) | −13.0106 | − | 10.9172i | −0.544954 | − | 0.457270i | ||||
\(571\) | −14.5114 | − | 12.1765i | −0.607284 | − | 0.509572i | 0.286494 | − | 0.958082i | \(-0.407510\pi\) |
−0.893778 | + | 0.448510i | \(0.851955\pi\) | |||||||
\(572\) | 3.36318 | − | 1.22410i | 0.140622 | − | 0.0511821i | ||||
\(573\) | 3.14590 | + | 17.8413i | 0.131422 | + | 0.745329i | ||||
\(574\) | −7.57152 | − | 42.9402i | −0.316029 | − | 1.79229i | ||||
\(575\) | 0.161096 | − | 0.0586341i | 0.00671817 | − | 0.00244521i | ||||
\(576\) | 3.64245 | + | 3.05638i | 0.151769 | + | 0.127349i | ||||
\(577\) | 26.8925 | + | 22.5655i | 1.11955 | + | 0.939414i | 0.998582 | − | 0.0532425i | \(-0.0169556\pi\) |
0.120968 | + | 0.992656i | \(0.461400\pi\) | |||||||
\(578\) | −8.49365 | − | 14.7114i | −0.353289 | − | 0.611915i | ||||
\(579\) | 43.4538 | + | 15.8159i | 1.80588 | + | 0.657286i | ||||
\(580\) | −1.17160 | + | 6.64448i | −0.0486481 | + | 0.275897i | ||||
\(581\) | −2.82302 | + | 4.88961i | −0.117119 | + | 0.202855i | ||||
\(582\) | 23.3334 | + | 40.4147i | 0.967201 | + | 1.67524i | ||||
\(583\) | 2.71121 | − | 0.986801i | 0.112287 | − | 0.0408691i | ||||
\(584\) | −0.950124 | + | 1.64566i | −0.0393164 | + | 0.0680980i | ||||
\(585\) | 5.51193 | − | 4.62506i | 0.227890 | − | 0.191223i | ||||
\(586\) | −29.3883 | −1.21402 | ||||||||
\(587\) | 15.5618 | − | 13.0579i | 0.642305 | − | 0.538958i | −0.262420 | − | 0.964954i | \(-0.584521\pi\) |
0.904725 | + | 0.425996i | \(0.140076\pi\) | |||||||
\(588\) | 15.2020 | + | 5.53307i | 0.626919 | + | 0.228180i | ||||
\(589\) | −10.3594 | − | 58.7512i | −0.426853 | − | 2.42080i | ||||
\(590\) | −0.133185 | + | 0.755331i | −0.00548315 | + | 0.0310965i | ||||
\(591\) | 25.5728 | 1.05193 | ||||||||
\(592\) | −1.13357 | − | 5.97621i | −0.0465893 | − | 0.245621i | ||||
\(593\) | −13.7816 | −0.565944 | −0.282972 | − | 0.959128i | \(-0.591320\pi\) | ||||
−0.282972 | + | 0.959128i | \(0.591320\pi\) | |||||||
\(594\) | 2.00705 | − | 11.3825i | 0.0823502 | − | 0.467031i | ||||
\(595\) | 0.0700126 | + | 0.397061i | 0.00287023 | + | 0.0162779i | ||||
\(596\) | −18.1970 | − | 6.62317i | −0.745379 | − | 0.271296i | ||||
\(597\) | −5.07160 | + | 4.25558i | −0.207567 | + | 0.174169i | ||||
\(598\) | −0.259424 | −0.0106086 | ||||||||
\(599\) | −16.9414 | + | 14.2155i | −0.692205 | + | 0.580829i | −0.919544 | − | 0.392986i | \(-0.871442\pi\) |
0.227339 | + | 0.973816i | \(0.426997\pi\) | |||||||
\(600\) | −1.39238 | + | 2.41167i | −0.0568436 | + | 0.0984561i | ||||
\(601\) | −36.3996 | + | 13.2484i | −1.48477 | + | 0.540412i | −0.952067 | − | 0.305890i | \(-0.901046\pi\) |
−0.532703 | + | 0.846302i | \(0.678824\pi\) | |||||||
\(602\) | 12.3789 | + | 21.4409i | 0.504527 | + | 0.873866i | ||||
\(603\) | −0.144745 | + | 0.250706i | −0.00589447 | + | 0.0102095i | ||||
\(604\) | 1.62800 | − | 9.23283i | 0.0662423 | − | 0.375678i | ||||
\(605\) | −5.08015 | − | 1.84902i | −0.206538 | − | 0.0751735i | ||||
\(606\) | −11.5813 | − | 20.0594i | −0.470458 | − | 0.814856i | ||||
\(607\) | −17.6124 | − | 14.7785i | −0.714864 | − | 0.599842i | 0.211095 | − | 0.977465i | \(-0.432297\pi\) |
−0.925959 | + | 0.377624i | \(0.876741\pi\) | |||||||
\(608\) | −4.67207 | − | 3.92033i | −0.189478 | − | 0.158991i | ||||
\(609\) | −63.1897 | + | 22.9992i | −2.56057 | + | 0.931973i | ||||
\(610\) | 0.502754 | + | 2.85126i | 0.0203559 | + | 0.115444i | ||||
\(611\) | −2.26460 | − | 12.8432i | −0.0916157 | − | 0.519579i | ||||
\(612\) | −0.503347 | + | 0.183203i | −0.0203466 | + | 0.00740555i | ||||
\(613\) | −6.91039 | − | 5.79850i | −0.279108 | − | 0.234199i | 0.492477 | − | 0.870325i | \(-0.336091\pi\) |
−0.771585 | + | 0.636126i | \(0.780536\pi\) | |||||||
\(614\) | −17.6196 | − | 14.7846i | −0.711070 | − | 0.596658i | ||||
\(615\) | 16.9632 | + | 29.3811i | 0.684021 | + | 1.18476i | ||||
\(616\) | −7.95432 | − | 2.89514i | −0.320489 | − | 0.116648i | ||||
\(617\) | 1.32696 | − | 7.52554i | 0.0534212 | − | 0.302967i | −0.946377 | − | 0.323065i | \(-0.895287\pi\) |
0.999798 | + | 0.0200982i | \(0.00639788\pi\) | |||||||
\(618\) | 6.72484 | − | 11.6478i | 0.270513 | − | 0.468542i | ||||
\(619\) | 14.3727 | + | 24.8943i | 0.577688 | + | 1.00059i | 0.995744 | + | 0.0921637i | \(0.0293783\pi\) |
−0.418056 | + | 0.908421i | \(0.637288\pi\) | |||||||
\(620\) | −9.19170 | + | 3.34550i | −0.369147 | + | 0.134359i | ||||
\(621\) | −0.418893 | + | 0.725543i | −0.0168096 | + | 0.0291150i | ||||
\(622\) | −19.0538 | + | 15.9880i | −0.763988 | + | 0.641062i | ||||
\(623\) | −56.6057 | −2.26786 | ||||||||
\(624\) | 3.22814 | − | 2.70873i | 0.129229 | − | 0.108436i | ||||
\(625\) | −0.939693 | − | 0.342020i | −0.0375877 | − | 0.0136808i | ||||
\(626\) | 3.39139 | + | 19.2335i | 0.135547 | + | 0.768726i | ||||
\(627\) | −6.97537 | + | 39.5593i | −0.278569 | + | 1.57985i | ||||
\(628\) | 24.2424 | 0.967375 | ||||||||
\(629\) | 0.646890 | + | 0.226027i | 0.0257932 | + | 0.00901230i | ||||
\(630\) | −17.0178 | −0.678004 | ||||||||
\(631\) | −2.61420 | + | 14.8259i | −0.104070 | + | 0.590209i | 0.887518 | + | 0.460773i | \(0.152428\pi\) |
−0.991588 | + | 0.129436i | \(0.958683\pi\) | |||||||
\(632\) | 2.18054 | + | 12.3664i | 0.0867370 | + | 0.491910i | ||||
\(633\) | −48.1412 | − | 17.5220i | −1.91344 | − | 0.696436i | ||||
\(634\) | 17.6130 | − | 14.7790i | 0.699500 | − | 0.586951i | ||||
\(635\) | −20.4912 | −0.813170 | ||||||||
\(636\) | 2.60235 | − | 2.18363i | 0.103190 | − | 0.0865865i | ||||
\(637\) | 4.39549 | − | 7.61322i | 0.174156 | − | 0.301647i | ||||
\(638\) | 14.9951 | − | 5.45777i | 0.593662 | − | 0.216075i | ||||
\(639\) | 16.0474 | + | 27.7949i | 0.634824 | + | 1.09955i | ||||
\(640\) | −0.500000 | + | 0.866025i | −0.0197642 | + | 0.0342327i | ||||
\(641\) | 2.48336 | − | 14.0838i | 0.0980868 | − | 0.556278i | −0.895671 | − | 0.444718i | \(-0.853304\pi\) |
0.993758 | − | 0.111560i | \(-0.0355849\pi\) | |||||||
\(642\) | 11.7067 | + | 4.26087i | 0.462025 | + | 0.168163i | ||||
\(643\) | −19.6501 | − | 34.0350i | −0.774926 | − | 1.34221i | −0.934836 | − | 0.355079i | \(-0.884454\pi\) |
0.159911 | − | 0.987131i | \(-0.448879\pi\) | |||||||
\(644\) | 0.470020 | + | 0.394394i | 0.0185214 | + | 0.0155413i | ||||
\(645\) | −14.7567 | − | 12.3824i | −0.581046 | − | 0.487555i | ||||
\(646\) | 0.645630 | − | 0.234990i | 0.0254020 | − | 0.00924556i | ||||
\(647\) | 2.73037 | + | 15.4847i | 0.107342 | + | 0.608767i | 0.990259 | + | 0.139238i | \(0.0444652\pi\) |
−0.882917 | + | 0.469529i | \(0.844424\pi\) | |||||||
\(648\) | 0.113876 | + | 0.645821i | 0.00447346 | + | 0.0253702i | ||||
\(649\) | 1.70461 | − | 0.620428i | 0.0669119 | − | 0.0243539i | ||||
\(650\) | 1.15922 | + | 0.972698i | 0.0454682 | + | 0.0381524i | ||||
\(651\) | −74.6818 | − | 62.6655i | −2.92701 | − | 2.45605i | ||||
\(652\) | 4.99442 | + | 8.65059i | 0.195597 | + | 0.338783i | ||||
\(653\) | 20.4006 | + | 7.42521i | 0.798337 | + | 0.290571i | 0.708797 | − | 0.705412i | \(-0.249238\pi\) |
0.0895401 | + | 0.995983i | \(0.471460\pi\) | |||||||
\(654\) | 3.57568 | − | 20.2787i | 0.139820 | − | 0.792960i | ||||
\(655\) | 5.13046 | − | 8.88622i | 0.200464 | − | 0.347213i | ||||
\(656\) | 6.09143 | + | 10.5507i | 0.237830 | + | 0.411934i | ||||
\(657\) | 8.49054 | − | 3.09030i | 0.331247 | − | 0.120564i | ||||
\(658\) | −15.4221 | + | 26.7118i | −0.601216 | + | 1.04134i | ||||
\(659\) | 12.8355 | − | 10.7703i | 0.500000 | − | 0.419550i | −0.357594 | − | 0.933877i | \(-0.616403\pi\) |
0.857594 | + | 0.514327i | \(0.171958\pi\) | |||||||
\(660\) | 6.58630 | 0.256371 | ||||||||
\(661\) | −1.45199 | + | 1.21837i | −0.0564760 | + | 0.0473890i | −0.670589 | − | 0.741829i | \(-0.733958\pi\) |
0.614113 | + | 0.789218i | \(0.289514\pi\) | |||||||
\(662\) | −18.0766 | − | 6.57936i | −0.702568 | − | 0.255714i | ||||
\(663\) | 0.0824348 | + | 0.467511i | 0.00320150 | + | 0.0181566i | ||||
\(664\) | 0.273937 | − | 1.55357i | 0.0106308 | − | 0.0602903i | ||||
\(665\) | 21.8283 | 0.846463 | ||||||||
\(666\) | −14.1366 | + | 25.2326i | −0.547781 | + | 0.977744i | ||||
\(667\) | −1.15667 | −0.0447863 | ||||||||
\(668\) | −0.120664 | + | 0.684322i | −0.00466865 | + | 0.0264772i | ||||
\(669\) | 2.54620 | + | 14.4402i | 0.0984417 | + | 0.558291i | ||||
\(670\) | −0.0572111 | − | 0.0208231i | −0.00221026 | − | 0.000804468i | ||||
\(671\) | 5.24558 | − | 4.40157i | 0.202503 | − | 0.169921i | ||||
\(672\) | −9.96669 | −0.384473 | ||||||||
\(673\) | −18.9210 | + | 15.8766i | −0.729349 | + | 0.611997i | −0.929954 | − | 0.367675i | \(-0.880154\pi\) |
0.200605 | + | 0.979672i | \(0.435709\pi\) | |||||||
\(674\) | 0.354907 | − | 0.614717i | 0.0136705 | − | 0.0236780i | ||||
\(675\) | 4.59219 | − | 1.67142i | 0.176753 | − | 0.0643330i | ||||
\(676\) | 5.35504 | + | 9.27520i | 0.205963 | + | 0.356738i | ||||
\(677\) | −18.3333 | + | 31.7542i | −0.704606 | + | 1.22041i | 0.262228 | + | 0.965006i | \(0.415543\pi\) |
−0.966834 | + | 0.255407i | \(0.917790\pi\) | |||||||
\(678\) | 7.66228 | − | 43.4550i | 0.294268 | − | 1.66888i | ||||
\(679\) | −56.3599 | − | 20.5133i | −2.16289 | − | 0.787229i | ||||
\(680\) | −0.0563264 | − | 0.0975602i | −0.00216002 | − | 0.00374126i | ||||
\(681\) | 22.9663 | + | 19.2710i | 0.880071 | + | 0.738468i | ||||
\(682\) | 17.7222 | + | 14.8707i | 0.678619 | + | 0.569429i | ||||
\(683\) | −38.3627 | + | 13.9629i | −1.46791 | + | 0.534274i | −0.947531 | − | 0.319664i | \(-0.896430\pi\) |
−0.520375 | + | 0.853938i | \(0.674208\pi\) | |||||||
\(684\) | 5.03576 | + | 28.5592i | 0.192547 | + | 1.09199i | ||||
\(685\) | 2.87860 | + | 16.3253i | 0.109986 | + | 0.623759i | ||||
\(686\) | 4.00439 | − | 1.45748i | 0.152888 | − | 0.0556468i | ||||
\(687\) | −46.7604 | − | 39.2366i | −1.78402 | − | 1.49697i | ||||
\(688\) | −5.29911 | − | 4.44648i | −0.202027 | − | 0.169520i | ||||
\(689\) | −0.923006 | − | 1.59869i | −0.0351637 | − | 0.0609054i | ||||
\(690\) | −0.448613 | − | 0.163282i | −0.0170784 | − | 0.00621603i | ||||
\(691\) | 1.51246 | − | 8.57760i | 0.0575368 | − | 0.326307i | −0.942430 | − | 0.334402i | \(-0.891466\pi\) |
0.999967 | + | 0.00809500i | \(0.00257675\pi\) | |||||||
\(692\) | 7.84115 | − | 13.5813i | 0.298076 | − | 0.516283i | ||||
\(693\) | 20.1246 | + | 34.8568i | 0.764469 | + | 1.32410i | ||||
\(694\) | 15.1643 | − | 5.51934i | 0.575627 | − | 0.209511i | ||||
\(695\) | 2.36398 | − | 4.09454i | 0.0896710 | − | 0.155315i | ||||
\(696\) | 14.3930 | − | 12.0771i | 0.545565 | − | 0.457783i | ||||
\(697\) | −1.37243 | −0.0519847 | ||||||||
\(698\) | 12.2171 | − | 10.2514i | 0.462425 | − | 0.388021i | ||||
\(699\) | 11.8615 | + | 4.31723i | 0.448643 | + | 0.163293i | ||||
\(700\) | −0.621489 | − | 3.52464i | −0.0234901 | − | 0.133219i | ||||
\(701\) | −7.92179 | + | 44.9267i | −0.299202 | + | 1.69686i | 0.350414 | + | 0.936595i | \(0.386041\pi\) |
−0.649615 | + | 0.760263i | \(0.725070\pi\) | |||||||
\(702\) | −7.39511 | −0.279110 | ||||||||
\(703\) | 18.1326 | − | 32.3652i | 0.683885 | − | 1.22068i | ||||
\(704\) | 2.36512 | 0.0891390 | ||||||||
\(705\) | 4.16742 | − | 23.6346i | 0.156954 | − | 0.890131i | ||||
\(706\) | −0.856728 | − | 4.85874i | −0.0322434 | − | 0.182861i | ||||
\(707\) | 27.9736 | + | 10.1816i | 1.05206 | + | 0.382917i | ||||
\(708\) | 1.63617 | − | 1.37291i | 0.0614909 | − | 0.0515970i | ||||
\(709\) | 34.6625 | 1.30178 | 0.650889 | − | 0.759173i | \(-0.274396\pi\) | ||||
0.650889 | + | 0.759173i | \(0.274396\pi\) | |||||||
\(710\) | −5.17069 | + | 4.33873i | −0.194053 | + | 0.162829i | ||||
\(711\) | 29.8540 | − | 51.7086i | 1.11961 | − | 1.93922i | ||||
\(712\) | 14.8622 | − | 5.40940i | 0.556984 | − | 0.202726i | ||||
\(713\) | −0.838453 | − | 1.45224i | −0.0314003 | − | 0.0543869i | ||||
\(714\) | 0.561388 | − | 0.972352i | 0.0210094 | − | 0.0363894i | ||||
\(715\) | 0.621491 | − | 3.52465i | 0.0232424 | − | 0.131814i | ||||
\(716\) | −18.8981 | − | 6.87836i | −0.706257 | − | 0.257056i | ||||
\(717\) | −26.2440 | − | 45.4560i | −0.980100 | − | 1.69758i | ||||
\(718\) | 20.3001 | + | 17.0338i | 0.757593 | + | 0.635696i | ||||
\(719\) | −31.1290 | − | 26.1203i | −1.16091 | − | 0.974123i | −0.160997 | − | 0.986955i | \(-0.551471\pi\) |
−0.999918 | + | 0.0128319i | \(0.995915\pi\) | |||||||
\(720\) | 4.46812 | − | 1.62626i | 0.166517 | − | 0.0606073i | ||||
\(721\) | 3.00164 | + | 17.0231i | 0.111787 | + | 0.633975i | ||||
\(722\) | −3.15992 | − | 17.9208i | −0.117600 | − | 0.666944i | ||||
\(723\) | 66.3368 | − | 24.1446i | 2.46709 | − | 0.897949i | ||||
\(724\) | 8.74919 | + | 7.34145i | 0.325161 | + | 0.272843i | ||||
\(725\) | 5.16849 | + | 4.33688i | 0.191953 | + | 0.161068i | ||||
\(726\) | 7.52746 | + | 13.0379i | 0.279370 | + | 0.483883i | ||||
\(727\) | 49.8550 | + | 18.1457i | 1.84902 | + | 0.672988i | 0.985744 | + | 0.168254i | \(0.0538128\pi\) |
0.863275 | + | 0.504734i | \(0.168409\pi\) | |||||||
\(728\) | −0.940469 | + | 5.33366i | −0.0348561 | + | 0.197679i | ||||
\(729\) | 21.9724 | − | 38.0572i | 0.813791 | − | 1.40953i | ||||
\(730\) | 0.950124 | + | 1.64566i | 0.0351657 | + | 0.0609087i | ||||
\(731\) | 0.732280 | − | 0.266528i | 0.0270843 | − | 0.00985789i | ||||
\(732\) | 4.03128 | − | 6.98238i | 0.149000 | − | 0.258076i | ||||
\(733\) | 11.9522 | − | 10.0291i | 0.441465 | − | 0.370433i | −0.394792 | − | 0.918770i | \(-0.629183\pi\) |
0.836257 | + | 0.548337i | \(0.184739\pi\) | |||||||
\(734\) | −7.70512 | −0.284401 | ||||||||
\(735\) | 12.3928 | − | 10.3988i | 0.457114 | − | 0.383564i | ||||
\(736\) | −0.161096 | − | 0.0586341i | −0.00593808 | − | 0.00216128i | ||||
\(737\) | 0.0250045 | + | 0.141808i | 0.000921054 | + | 0.00522356i | ||||
\(738\) | 10.0591 | − | 57.0480i | 0.370280 | − | 2.09996i | ||||
\(739\) | 0.592341 | 0.0217896 | 0.0108948 | − | 0.999941i | \(-0.496532\pi\) | ||||
0.0108948 | + | 0.999941i | \(0.496532\pi\) | |||||||
\(740\) | −5.74233 | − | 2.00641i | −0.211092 | − | 0.0737569i | ||||
\(741\) | 25.7012 | 0.944158 | ||||||||
\(742\) | −0.758154 | + | 4.29971i | −0.0278327 | + | 0.157847i | ||||
\(743\) | 0.583953 | + | 3.31176i | 0.0214232 | + | 0.121497i | 0.993644 | − | 0.112569i | \(-0.0359080\pi\) |
−0.972221 | + | 0.234066i | \(0.924797\pi\) | |||||||
\(744\) | 25.5967 | + | 9.31642i | 0.938419 | + | 0.341557i | ||||
\(745\) | −14.8343 | + | 12.4475i | −0.543488 | + | 0.456041i | ||||
\(746\) | 22.5486 | 0.825562 | ||||||||
\(747\) | −5.74610 | + | 4.82155i | −0.210239 | + | 0.176411i | ||||
\(748\) | −0.133219 | + | 0.230742i | −0.00487097 | + | 0.00843677i | ||||
\(749\) | −15.0456 | + | 5.47614i | −0.549753 | + | 0.200094i | ||||
\(750\) | 1.39238 | + | 2.41167i | 0.0508425 | + | 0.0880618i | ||||
\(751\) | 26.3808 | − | 45.6928i | 0.962648 | − | 1.66736i | 0.246843 | − | 0.969056i | \(-0.420607\pi\) |
0.715805 | − | 0.698300i | \(-0.246060\pi\) | |||||||
\(752\) | 1.49651 | − | 8.48714i | 0.0545722 | − | 0.309494i | ||||
\(753\) | 29.4599 | + | 10.7225i | 1.07358 | + | 0.390751i | ||||
\(754\) | −5.10493 | − | 8.84200i | −0.185911 | − | 0.322007i | ||||
\(755\) | −7.18187 | − | 6.02630i | −0.261375 | − | 0.219320i | ||||
\(756\) | 13.3983 | + | 11.2425i | 0.487293 | + | 0.408887i | ||||
\(757\) | −8.79181 | + | 3.19996i | −0.319544 | + | 0.116304i | −0.496812 | − | 0.867858i | \(-0.665496\pi\) |
0.177268 | + | 0.984163i | \(0.443274\pi\) | |||||||
\(758\) | 3.04579 | + | 17.2735i | 0.110628 | + | 0.627403i | ||||
\(759\) | 0.196070 | + | 1.11197i | 0.00711688 | + | 0.0403618i | ||||
\(760\) | −5.73114 | + | 2.08597i | −0.207890 | + | 0.0756659i | ||||
\(761\) | 3.67825 | + | 3.08642i | 0.133336 | + | 0.111883i | 0.707017 | − | 0.707197i | \(-0.250040\pi\) |
−0.573680 | + | 0.819079i | \(0.694485\pi\) | |||||||
\(762\) | 43.7129 | + | 36.6795i | 1.58355 | + | 1.32876i | ||||
\(763\) | 13.2323 | + | 22.9190i | 0.479041 | + | 0.829723i | ||||
\(764\) | 6.11325 | + | 2.22504i | 0.221170 | + | 0.0804992i | ||||
\(765\) | −0.0930147 | + | 0.527513i | −0.00336295 | + | 0.0190723i | ||||
\(766\) | 9.45164 | − | 16.3707i | 0.341502 | − | 0.591498i | ||||
\(767\) | −0.580319 | − | 1.00514i | −0.0209541 | − | 0.0362936i | ||||
\(768\) | 2.61682 | − | 0.952443i | 0.0944262 | − | 0.0343683i | ||||
\(769\) | −20.8542 | + | 36.1205i | −0.752021 | + | 1.30254i | 0.194821 | + | 0.980839i | \(0.437587\pi\) |
−0.946842 | + | 0.321699i | \(0.895746\pi\) | |||||||
\(770\) | −6.48442 | + | 5.44108i | −0.233682 | + | 0.196083i | ||||
\(771\) | 23.8869 | 0.860266 | ||||||||
\(772\) | 12.7206 | − | 10.6739i | 0.457826 | − | 0.384161i | ||||
\(773\) | 6.27299 | + | 2.28318i | 0.225624 | + | 0.0821204i | 0.452358 | − | 0.891836i | \(-0.350583\pi\) |
−0.226735 | + | 0.973957i | \(0.572805\pi\) | |||||||
\(774\) | 5.71161 | + | 32.3921i | 0.205299 | + | 1.16431i | ||||
\(775\) | −1.69856 | + | 9.63300i | −0.0610140 | + | 0.346027i | ||||
\(776\) | 16.7580 | 0.601575 | ||||||||
\(777\) | −11.2979 | − | 59.5630i | −0.405310 | − | 2.13681i | ||||
\(778\) | −17.3666 | −0.622623 | ||||||||
\(779\) | −12.9025 | + | 73.1739i | −0.462281 | + | 2.62173i | ||||
\(780\) | −0.731759 | − | 4.15001i | −0.0262012 | − | 0.148594i | ||||
\(781\) | 15.0015 | + | 5.46010i | 0.536796 | + | 0.195378i | ||||
\(782\) | 0.0147943 | − | 0.0124139i | 0.000529044 | − | 0.000443921i | ||||
\(783\) | −32.9718 | −1.17832 | ||||||||
\(784\) | 4.45021 | − | 3.73417i | 0.158936 | − | 0.133363i | ||||
\(785\) | 12.1212 | − | 20.9945i | 0.432623 | − | 0.749326i | ||||
\(786\) | −26.8510 | + | 9.77295i | −0.957742 | + | 0.348590i | ||||
\(787\) | −6.03064 | − | 10.4454i | −0.214969 | − | 0.372338i | 0.738294 | − | 0.674479i | \(-0.235632\pi\) |
−0.953263 | + | 0.302142i | \(0.902298\pi\) | |||||||
\(788\) | 4.59157 | − | 7.95283i | 0.163568 | − | 0.283308i | ||||
\(789\) | 7.36152 | − | 41.7493i | 0.262077 | − | 1.48631i | ||||
\(790\) | 11.7999 | + | 4.29482i | 0.419822 | + | 0.152803i | ||||
\(791\) | 28.3553 | + | 49.1128i | 1.00820 | + | 1.74625i | ||||
\(792\) | −8.61484 | − | 7.22871i | −0.306115 | − | 0.256861i | ||||
\(793\) | −3.35622 | − | 2.81620i | −0.119183 | − | 0.100006i | ||||
\(794\) | 2.00772 | − | 0.730750i | 0.0712512 | − | 0.0259333i | ||||
\(795\) | −0.589904 | − | 3.34551i | −0.0209217 | − | 0.118653i | ||||
\(796\) | 0.412833 | + | 2.34129i | 0.0146325 | + | 0.0829848i | ||||
\(797\) | −40.8788 | + | 14.8787i | −1.44800 | + | 0.527029i | −0.942032 | − | 0.335523i | \(-0.891087\pi\) |
−0.505969 | + | 0.862552i | \(0.668865\pi\) | |||||||
\(798\) | −46.5651 | − | 39.0727i | −1.64839 | − | 1.38316i | ||||
\(799\) | 0.743714 | + | 0.624050i | 0.0263107 | + | 0.0220773i | ||||
\(800\) | 0.500000 | + | 0.866025i | 0.0176777 | + | 0.0306186i | ||||
\(801\) | −70.6679 | − | 25.7210i | −2.49693 | − | 0.908807i | ||||
\(802\) | −6.49411 | + | 36.8299i | −0.229315 | + | 1.30051i | ||||
\(803\) | 2.24716 | − | 3.89220i | 0.0793006 | − | 0.137353i | ||||
\(804\) | 0.0847719 | + | 0.146829i | 0.00298967 | + | 0.00517827i | ||||
\(805\) | 0.576565 | − | 0.209852i | 0.0203212 | − | 0.00739633i | ||||
\(806\) | 7.40100 | − | 12.8189i | 0.260689 | − | 0.451527i | ||||
\(807\) | −26.2099 | + | 21.9927i | −0.922633 | + | 0.774181i | ||||
\(808\) | −8.31762 | −0.292613 | ||||||||
\(809\) | −34.5169 | + | 28.9631i | −1.21355 | + | 1.01829i | −0.214413 | + | 0.976743i | \(0.568784\pi\) |
−0.999137 | + | 0.0415460i | \(0.986772\pi\) | |||||||
\(810\) | 0.616235 | + | 0.224291i | 0.0216523 | + | 0.00788079i | ||||
\(811\) | 2.18904 | + | 12.4147i | 0.0768677 | + | 0.435938i | 0.998817 | + | 0.0486277i | \(0.0154848\pi\) |
−0.921949 | + | 0.387311i | \(0.873404\pi\) | |||||||
\(812\) | −4.19318 | + | 23.7807i | −0.147152 | + | 0.834538i | ||||
\(813\) | −2.99631 | −0.105085 | ||||||||
\(814\) | 2.68103 | + | 14.1345i | 0.0939699 | + | 0.495413i | ||||
\(815\) | 9.98884 | 0.349894 | ||||||||
\(816\) | −0.0544753 | + | 0.308945i | −0.00190702 | + | 0.0108152i | ||||
\(817\) | −7.32613 | − | 41.5485i | −0.256309 | − | 1.45360i | ||||
\(818\) | 35.9723 | + | 13.0928i | 1.25774 | + | 0.457780i | ||||
\(819\) | 19.7273 | − | 16.5532i | 0.689327 | − | 0.578414i | ||||
\(820\) | 12.1829 | 0.425444 | ||||||||
\(821\) | −6.96733 | + | 5.84628i | −0.243161 | + | 0.204037i | −0.756221 | − | 0.654316i | \(-0.772956\pi\) |
0.513059 | + | 0.858353i | \(0.328512\pi\) | |||||||
\(822\) | 23.0817 | − | 39.9787i | 0.805068 | − | 1.39442i | ||||
\(823\) | 29.8964 | − | 10.8814i | 1.04212 | − | 0.379302i | 0.236439 | − | 0.971646i | \(-0.424020\pi\) |
0.805685 | + | 0.592344i | \(0.201797\pi\) | |||||||
\(824\) | −2.41488 | − | 4.18269i | −0.0841262 | − | 0.145711i | ||||
\(825\) | 3.29315 | − | 5.70390i | 0.114653 | − | 0.198584i | ||||
\(826\) | −0.476672 | + | 2.70334i | −0.0165855 | + | 0.0940613i | ||||
\(827\) | 11.8049 | + | 4.29663i | 0.410496 | + | 0.149408i | 0.539010 | − | 0.842299i | \(-0.318799\pi\) |
−0.128514 | + | 0.991708i | \(0.541021\pi\) | |||||||
\(828\) | 0.407575 | + | 0.705941i | 0.0141642 | + | 0.0245332i | ||||
\(829\) | −26.4097 | − | 22.1604i | −0.917246 | − | 0.769661i | 0.0562373 | − | 0.998417i | \(-0.482090\pi\) |
−0.973484 | + | 0.228756i | \(0.926534\pi\) | |||||||
\(830\) | −1.20847 | − | 1.01402i | −0.0419464 | − | 0.0351972i | ||||
\(831\) | 26.5340 | − | 9.65758i | 0.920454 | − | 0.335018i | ||||
\(832\) | −0.262773 | − | 1.49026i | −0.00911002 | − | 0.0516655i | ||||
\(833\) | 0.113642 | + | 0.644497i | 0.00393747 | + | 0.0223305i | ||||
\(834\) | −12.3722 | + | 4.50312i | −0.428415 | + | 0.155930i | ||||
\(835\) | 0.532308 | + | 0.446659i | 0.0184213 | + | 0.0154573i | ||||
\(836\) | 11.0500 | + | 9.27208i | 0.382173 | + | 0.320681i | ||||
\(837\) | −23.9009 | − | 41.3975i | −0.826135 | − | 1.43091i | ||||
\(838\) | −28.8519 | − | 10.5012i | −0.996672 | − | 0.362759i | ||||
\(839\) | −7.57665 | + | 42.9693i | −0.261575 | + | 1.48346i | 0.517039 | + | 0.855962i | \(0.327034\pi\) |
−0.778614 | + | 0.627503i | \(0.784077\pi\) | |||||||
\(840\) | −4.98334 | + | 8.63140i | −0.171942 | + | 0.297812i | ||||
\(841\) | −8.26087 | − | 14.3083i | −0.284858 | − | 0.493388i | ||||
\(842\) | 16.4460 | − | 5.98587i | 0.566768 | − | 0.206287i | ||||
\(843\) | −22.5403 | + | 39.0409i | −0.776328 | + | 1.34464i | ||||
\(844\) | −14.0928 | + | 11.8253i | −0.485095 | + | 0.407043i | ||||
\(845\) | 10.7101 | 0.368438 | ||||||||
\(846\) | −31.3908 | + | 26.3400i | −1.07924 | + | 0.905589i | ||||
\(847\) | −18.1819 | − | 6.61768i | −0.624739 | − | 0.227386i | ||||
\(848\) | −0.211833 | − | 1.20137i | −0.00727438 | − | 0.0412551i | ||||
\(849\) | 1.79110 | − | 10.1578i | 0.0614702 | − | 0.348615i | ||||
\(850\) | −0.112653 | −0.00386396 | ||||||||
\(851\) | 0.167797 | − | 1.02921i | 0.00575200 | − | 0.0352808i | ||||
\(852\) | 18.7967 | 0.643965 | ||||||||
\(853\) | 8.49326 | − | 48.1677i | 0.290804 | − | 1.64923i | −0.392981 | − | 0.919547i | \(-0.628556\pi\) |
0.683785 | − | 0.729684i | \(-0.260333\pi\) | |||||||
\(854\) | 1.79937 | + | 10.2047i | 0.0615730 | + | 0.349198i | ||||
\(855\) | 27.2509 | + | 9.91851i | 0.931960 | + | 0.339206i | ||||
\(856\) | 3.42699 | − | 2.87559i | 0.117132 | − | 0.0982856i | ||||
\(857\) | −12.5847 | −0.429886 | −0.214943 | − | 0.976627i | \(-0.568957\pi\) | ||||
−0.214943 | + | 0.976627i | \(0.568957\pi\) | |||||||
\(858\) | −7.63495 | + | 6.40648i | −0.260653 | + | 0.218714i | ||||
\(859\) | −7.03150 | + | 12.1789i | −0.239912 | + | 0.415539i | −0.960689 | − | 0.277628i | \(-0.910452\pi\) |
0.720777 | + | 0.693167i | \(0.243785\pi\) | |||||||
\(860\) | −6.50032 | + | 2.36592i | −0.221659 | + | 0.0806773i | ||||
\(861\) | 60.7114 | + | 105.155i | 2.06904 | + | 3.58368i | ||||
\(862\) | −8.05133 | + | 13.9453i | −0.274229 | + | 0.474979i | ||||
\(863\) | 6.93857 | − | 39.3506i | 0.236192 | − | 1.33951i | −0.603898 | − | 0.797062i | \(-0.706386\pi\) |
0.840089 | − | 0.542448i | \(-0.182502\pi\) | |||||||
\(864\) | −4.59219 | − | 1.67142i | −0.156229 | − | 0.0568629i | ||||
\(865\) | −7.84115 | − | 13.5813i | −0.266607 | − | 0.461777i | ||||
\(866\) | −1.18895 | − | 0.997651i | −0.0404023 | − | 0.0339016i | ||||
\(867\) | 36.2381 | + | 30.4074i | 1.23071 | + | 1.03269i | ||||
\(868\) | −32.8972 | + | 11.9736i | −1.11660 | + | 0.406411i | ||||
\(869\) | −5.15724 | − | 29.2481i | −0.174947 | − | 0.992175i | ||||
\(870\) | −3.26262 | − | 18.5033i | −0.110613 | − | 0.627319i | ||||
\(871\) | 0.0865747 | − | 0.0315106i | 0.00293347 | − | 0.00106770i | ||||
\(872\) | −5.66442 | − | 4.75301i | −0.191821 | − | 0.160957i | ||||
\(873\) | −61.0399 | − | 51.2186i | −2.06589 | − | 1.73349i | ||||
\(874\) | −0.522787 | − | 0.905493i | −0.0176835 | − | 0.0306288i | ||||
\(875\) | −3.36317 | − | 1.22409i | −0.113696 | − | 0.0413820i | ||||
\(876\) | 0.918899 | − | 5.21134i | 0.0310467 | − | 0.176075i | ||||
\(877\) | −10.2970 | + | 17.8350i | −0.347706 | + | 0.602244i | −0.985842 | − | 0.167680i | \(-0.946373\pi\) |
0.638136 | + | 0.769924i | \(0.279706\pi\) | |||||||
\(878\) | −11.6709 | − | 20.2147i | −0.393875 | − | 0.682212i | ||||
\(879\) | 76.9037 | − | 27.9906i | 2.59390 | − | 0.944101i | ||||
\(880\) | 1.18256 | − | 2.04826i | 0.0398642 | − | 0.0690468i | ||||
\(881\) | −16.4653 | + | 13.8160i | −0.554728 | + | 0.465472i | −0.876538 | − | 0.481332i | \(-0.840153\pi\) |
0.321810 | + | 0.946804i | \(0.395709\pi\) | |||||||
\(882\) | −27.6227 | −0.930105 | ||||||||
\(883\) | −33.8702 | + | 28.4204i | −1.13982 | + | 0.956424i | −0.999433 | − | 0.0336724i | \(-0.989280\pi\) |
−0.140389 | + | 0.990096i | \(0.544835\pi\) | |||||||
\(884\) | 0.160191 | + | 0.0583048i | 0.00538781 | + | 0.00196100i | ||||
\(885\) | −0.370889 | − | 2.10341i | −0.0124673 | − | 0.0707055i | ||||
\(886\) | 6.50253 | − | 36.8777i | 0.218457 | − | 1.23893i | ||||
\(887\) | 9.65217 | 0.324088 | 0.162044 | − | 0.986784i | \(-0.448191\pi\) | ||||
0.162044 | + | 0.986784i | \(0.448191\pi\) | |||||||
\(888\) | 8.65833 | + | 14.5590i | 0.290555 | + | 0.488567i | ||||
\(889\) | −73.3385 | −2.45969 | ||||||||
\(890\) | 2.74642 | − | 15.5757i | 0.0920603 | − | 0.522100i | ||||
\(891\) | −0.269330 | − | 1.52745i | −0.00902289 | − | 0.0511714i | ||||
\(892\) | 4.94789 | + | 1.80089i | 0.165668 | + | 0.0602981i | ||||
\(893\) | 40.2642 | − | 33.7857i | 1.34739 | − | 1.13060i | ||||
\(894\) | 53.9264 | 1.80357 | ||||||||
\(895\) | −15.4059 | + | 12.9271i | −0.514963 | + | 0.432105i | ||||
\(896\) | −1.78951 | + | 3.09952i | −0.0597832 | + | 0.103548i | ||||
\(897\) | 0.678864 | − | 0.247086i | 0.0226666 | − | 0.00824997i | ||||
\(898\) | 5.64803 | + | 9.78268i | 0.188477 | + | 0.326452i | ||||
\(899\) | 32.9981 | − | 57.1544i | 1.10055 | − | 1.90621i | ||||
\(900\) | 0.825676 | − | 4.68264i | 0.0275225 | − | 0.156088i | ||||
\(901\) | 0.129137 | + | 0.0470022i | 0.00430219 | + | 0.00156587i | ||||
\(902\) | −14.4070 | − | 24.9537i | −0.479701 | − | 0.830866i | ||||
\(903\) | −52.8146 | − | 44.3167i | −1.75756 | − | 1.47477i | ||||
\(904\) | −12.1382 | − | 10.1852i | −0.403711 | − | 0.338754i | ||||
\(905\) | 10.7325 | − | 3.90630i | 0.356760 | − | 0.129850i | ||||
\(906\) | 4.53358 | + | 25.7112i | 0.150618 | + | 0.854197i | ||||
\(907\) | −1.12417 | − | 6.37547i | −0.0373274 | − | 0.211694i | 0.960439 | − | 0.278489i | \(-0.0898337\pi\) |
−0.997767 | + | 0.0667953i | \(0.978723\pi\) | |||||||
\(908\) | 10.1166 | − | 3.68215i | 0.335732 | − | 0.122197i | ||||
\(909\) | 30.2965 | + | 25.4218i | 1.00487 | + | 0.843187i | ||||
\(910\) | 4.14885 | + | 3.48130i | 0.137533 | + | 0.115404i | ||||
\(911\) | 21.7945 | + | 37.7492i | 0.722084 | + | 1.25069i | 0.960163 | + | 0.279441i | \(0.0901491\pi\) |
−0.238078 | + | 0.971246i | \(0.576518\pi\) | |||||||
\(912\) | 15.9598 | + | 5.80891i | 0.528483 | + | 0.192352i | ||||
\(913\) | −0.647895 | + | 3.67439i | −0.0214422 | + | 0.121605i | ||||
\(914\) | −6.81915 | + | 11.8111i | −0.225557 | + | 0.390677i | ||||
\(915\) | −4.03128 | − | 6.98238i | −0.133270 | − | 0.230830i | ||||
\(916\) | −20.5979 | + | 7.49701i | −0.680573 | + | 0.247708i | ||||
\(917\) | 18.3620 | − | 31.8039i | 0.606367 | − | 1.05026i | ||||
\(918\) | 0.421726 | − | 0.353870i | 0.0139190 | − | 0.0116794i | ||||
\(919\) | 43.2370 | 1.42626 | 0.713128 | − | 0.701034i | \(-0.247278\pi\) | ||||
0.713128 | + | 0.701034i | \(0.247278\pi\) | |||||||
\(920\) | −0.131327 | + | 0.110196i | −0.00432971 | + | 0.00363306i | ||||
\(921\) | 60.1888 | + | 21.9069i | 1.98329 | + | 0.721858i | ||||
\(922\) | 0.120460 | + | 0.683163i | 0.00396714 | + | 0.0224988i | ||||
\(923\) | 1.77368 | − | 10.0590i | 0.0583814 | − | 0.331098i | ||||
\(924\) | 23.5725 | 0.775477 | ||||||||
\(925\) | −4.60876 | + | 3.96980i | −0.151535 | + | 0.130526i | ||||
\(926\) | −29.6771 | −0.975252 | ||||||||
\(927\) | −3.98781 | + | 22.6160i | −0.130977 | + | 0.742806i | ||||
\(928\) | −1.17160 | − | 6.64448i | −0.0384597 | − | 0.218116i | ||||
\(929\) | 24.5306 | + | 8.92839i | 0.804822 | + | 0.292931i | 0.711483 | − | 0.702703i | \(-0.248024\pi\) |
0.0933386 | + | 0.995634i | \(0.470246\pi\) | |||||||
\(930\) | 20.8666 | − | 17.5091i | 0.684242 | − | 0.574147i | ||||
\(931\) | 35.4309 | 1.16120 | ||||||||
\(932\) | 3.47233 | − | 2.91363i | 0.113740 | − | 0.0954390i | ||||
\(933\) | 34.6326 | − | 59.9854i | 1.13382 | − | 1.96383i | ||||
\(934\) | 20.5054 | − | 7.46335i | 0.670957 | − | 0.244208i | ||||
\(935\) | 0.133219 | + | 0.230742i | 0.00435673 | + | 0.00754607i | ||||
\(936\) | −3.59766 | + | 6.23133i | −0.117593 | + | 0.203677i | ||||
\(937\) | −5.24594 | + | 29.7512i | −0.171377 | + | 0.971929i | 0.770865 | + | 0.636998i | \(0.219824\pi\) |
−0.942243 | + | 0.334931i | \(0.891287\pi\) | |||||||
\(938\) | −0.204759 | − | 0.0745263i | −0.00668563 | − | 0.00243337i | ||||
\(939\) | −27.1935 | − | 47.1005i | −0.887426 | − | 1.53707i | ||||
\(940\) | −6.60182 | − | 5.53959i | −0.215328 | − | 0.180681i | ||||
\(941\) | −40.3210 | − | 33.8334i | −1.31443 | − | 1.10294i | −0.987455 | − | 0.157903i | \(-0.949527\pi\) |
−0.326973 | − | 0.945034i | \(-0.606029\pi\) | |||||||
\(942\) | −63.4378 | + | 23.0895i | −2.06691 | + | 0.752295i | ||||
\(943\) | 0.362676 | + | 2.05684i | 0.0118103 | + | 0.0669798i | ||||
\(944\) | −0.133185 | − | 0.755331i | −0.00433481 | − | 0.0245839i | ||||
\(945\) | 16.4355 | − | 5.98203i | 0.534647 | − | 0.194596i | ||||
\(946\) | 12.5331 | + | 10.5165i | 0.407485 | + | 0.341920i | ||||
\(947\) | 26.4496 | + | 22.1938i | 0.859496 | + | 0.721202i | 0.961859 | − | 0.273545i | \(-0.0881961\pi\) |
−0.102364 | + | 0.994747i | \(0.532641\pi\) | |||||||
\(948\) | −17.4844 | − | 30.2838i | −0.567866 | − | 0.983573i | ||||
\(949\) | −2.70213 | − | 0.983496i | −0.0877149 | − | 0.0319256i | ||||
\(950\) | −1.05907 | + | 6.00630i | −0.0343609 | + | 0.194870i | ||||
\(951\) | −32.0137 | + | 55.4494i | −1.03812 | + | 1.79807i | ||||
\(952\) | −0.201593 | − | 0.349169i | −0.00653367 | − | 0.0113166i | ||||
\(953\) | −5.26828 | + | 1.91750i | −0.170656 | + | 0.0621138i | −0.425935 | − | 0.904754i | \(-0.640055\pi\) |
0.255279 | + | 0.966867i | \(0.417833\pi\) | |||||||
\(954\) | −2.90023 | + | 5.02335i | −0.0938986 | + | 0.162637i | ||||
\(955\) | 4.98357 | − | 4.18171i | 0.161265 | − | 0.135317i | ||||
\(956\) | −18.8483 | −0.609598 | ||||||||
\(957\) | −34.0412 | + | 28.5640i | −1.10040 | + | 0.923342i | ||||
\(958\) | −6.40691 | − | 2.33193i | −0.206998 | − | 0.0753411i | ||||
\(959\) | 10.3025 | + | 58.4286i | 0.332686 | + | 1.88676i | ||||
\(960\) | 0.483568 | − | 2.74245i | 0.0156071 | − | 0.0885122i | ||||
\(961\) | 64.6797 | 2.08644 | ||||||||
\(962\) | 8.60823 | − | 3.25969i | 0.277540 | − | 0.105097i | ||||
\(963\) | −21.2715 | −0.685465 | ||||||||
\(964\) | 4.40202 | − | 24.9651i | 0.141779 | − | 0.804071i | ||||
\(965\) | −2.88353 | − | 16.3533i | −0.0928242 | − | 0.526432i | ||||
\(966\) | −1.60559 | − | 0.584388i | −0.0516591 | − | 0.0188024i | ||||
\(967\) | −26.3603 | + | 22.1189i | −0.847691 | + | 0.711297i | −0.959280 | − | 0.282457i | \(-0.908850\pi\) |
0.111589 | + | 0.993754i | \(0.464406\pi\) | |||||||
\(968\) | 5.40619 | 0.173761 | ||||||||
\(969\) | −1.46568 | + | 1.22985i | −0.0470844 | + | 0.0395085i | ||||
\(970\) | 8.37898 | − | 14.5128i | 0.269033 | − | 0.465978i | ||||
\(971\) | 39.4365 | − | 14.3537i | 1.26558 | − | 0.460632i | 0.379940 | − | 0.925011i | \(-0.375945\pi\) |
0.885637 | + | 0.464379i | \(0.153722\pi\) | |||||||
\(972\) | −8.24346 | − | 14.2781i | −0.264409 | − | 0.457970i | ||||
\(973\) | 8.46073 | − | 14.6544i | 0.271239 | − | 0.469799i | ||||
\(974\) | −0.213611 | + | 1.21145i | −0.00684453 | + | 0.0388172i | ||||
\(975\) | −3.95990 | − | 1.44128i | −0.126818 | − | 0.0461580i | ||||
\(976\) | −1.44762 | − | 2.50736i | −0.0463373 | − | 0.0802586i | ||||
\(977\) | −1.33958 | − | 1.12404i | −0.0428569 | − | 0.0359612i | 0.621108 | − | 0.783725i | \(-0.286683\pi\) |
−0.663965 | + | 0.747764i | \(0.731127\pi\) | |||||||
\(978\) | −21.3087 | − | 17.8801i | −0.681376 | − | 0.571743i | ||||
\(979\) | −35.1509 | + | 12.7939i | −1.12343 | + | 0.408895i | ||||
\(980\) | −1.00878 | − | 5.72109i | −0.0322244 | − | 0.182753i | ||||
\(981\) | 6.10535 | + | 34.6252i | 0.194929 | + | 1.10550i | ||||
\(982\) | −3.71596 | + | 1.35250i | −0.118581 | + | 0.0431599i | ||||
\(983\) | 42.1925 | + | 35.4037i | 1.34573 | + | 1.12920i | 0.980113 | + | 0.198438i | \(0.0635870\pi\) |
0.365619 | + | 0.930765i | \(0.380857\pi\) | |||||||
\(984\) | −25.9891 | − | 21.8074i | −0.828501 | − | 0.695195i | ||||
\(985\) | −4.59157 | − | 7.95283i | −0.146300 | − | 0.253398i | ||||
\(986\) | 0.714229 | + | 0.259958i | 0.0227457 | + | 0.00827875i | ||||
\(987\) | 14.9153 | − | 84.5887i | 0.474758 | − | 2.69249i | ||||
\(988\) | 4.61462 | − | 7.99276i | 0.146811 | − | 0.254284i | ||||
\(989\) | −0.592949 | − | 1.02702i | −0.0188547 | − | 0.0326573i | ||||
\(990\) | −10.5677 | + | 3.84632i | −0.335862 | + | 0.122244i | ||||
\(991\) | −2.53966 | + | 4.39883i | −0.0806751 | + | 0.139733i | −0.903540 | − | 0.428504i | \(-0.859041\pi\) |
0.822865 | + | 0.568237i | \(0.192374\pi\) | |||||||
\(992\) | 7.49314 | − | 6.28749i | 0.237907 | − | 0.199628i | ||||
\(993\) | 53.5697 | 1.69998 | ||||||||
\(994\) | −18.5060 | + | 15.5284i | −0.586974 | + | 0.492530i | ||||
\(995\) | 2.23403 | + | 0.813122i | 0.0708236 | + | 0.0257777i | ||||
\(996\) | 0.762848 | + | 4.32632i | 0.0241718 | + | 0.137085i | ||||
\(997\) | −9.79167 | + | 55.5313i | −0.310105 | + | 1.75869i | 0.288338 | + | 0.957529i | \(0.406897\pi\) |
−0.598443 | + | 0.801165i | \(0.704214\pi\) | |||||||
\(998\) | −7.70540 | −0.243910 | ||||||||
\(999\) | 4.78320 | − | 29.3385i | 0.151334 | − | 0.928230i |
(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 | 370.2.o.b.181.1 | ✓ | 18 | |
37.9 | even | 9 | inner | 370.2.o.b.231.1 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.o.b.181.1 | ✓ | 18 | 1.1 | even | 1 | trivial | |
370.2.o.b.231.1 | yes | 18 | 37.9 | even | 9 | inner |