Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(61,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.u (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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 33 x^{10} - 110 x^{9} + 318 x^{8} - 678 x^{7} + 1225 x^{6} - 1698 x^{5} + 1905 x^{4} + \cdots + 57 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 61.2 | ||
Root | \(0.500000 - 0.677980i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.61 |
Dual form | 570.2.u.j.271.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | − | 0.342020i | −0.664463 | − | 0.241845i | ||||
\(3\) | −0.173648 | − | 0.984808i | −0.100256 | − | 0.568579i | ||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 0.766044 | − | 0.642788i | 0.342585 | − | 0.287463i | ||||
\(6\) | −0.173648 | + | 0.984808i | −0.0708916 | + | 0.402046i | ||||
\(7\) | −0.308023 | + | 0.533512i | −0.116422 | + | 0.201649i | −0.918347 | − | 0.395776i | \(-0.870476\pi\) |
0.801925 | + | 0.597424i | \(0.203809\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | −0.939693 | + | 0.342020i | −0.313231 | + | 0.114007i | ||||
\(10\) | −0.939693 | + | 0.342020i | −0.297157 | + | 0.108156i | ||||
\(11\) | −2.55943 | − | 4.43306i | −0.771696 | − | 1.33662i | −0.936633 | − | 0.350313i | \(-0.886075\pi\) |
0.164937 | − | 0.986304i | \(-0.447258\pi\) | |||||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | −0.222674 | + | 1.26285i | −0.0617586 | + | 0.350250i | 0.938232 | + | 0.346006i | \(0.112462\pi\) |
−0.999991 | + | 0.00424464i | \(0.998649\pi\) | |||||||
\(14\) | 0.471919 | − | 0.395987i | 0.126126 | − | 0.105832i | ||||
\(15\) | −0.766044 | − | 0.642788i | −0.197792 | − | 0.165967i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 0.754567 | + | 0.274640i | 0.183009 | + | 0.0666099i | 0.431899 | − | 0.901922i | \(-0.357844\pi\) |
−0.248890 | + | 0.968532i | \(0.580066\pi\) | |||||||
\(18\) | 1.00000 | 0.235702 | ||||||||
\(19\) | −1.20199 | − | 4.18990i | −0.275755 | − | 0.961228i | ||||
\(20\) | 1.00000 | 0.223607 | ||||||||
\(21\) | 0.578894 | + | 0.210700i | 0.126325 | + | 0.0459786i | ||||
\(22\) | 0.888879 | + | 5.04109i | 0.189510 | + | 1.07476i | ||||
\(23\) | −4.27867 | − | 3.59023i | −0.892163 | − | 0.748614i | 0.0764795 | − | 0.997071i | \(-0.475632\pi\) |
−0.968643 | + | 0.248457i | \(0.920076\pi\) | |||||||
\(24\) | −0.766044 | + | 0.642788i | −0.156368 | + | 0.131208i | ||||
\(25\) | 0.173648 | − | 0.984808i | 0.0347296 | − | 0.196962i | ||||
\(26\) | 0.641164 | − | 1.11053i | 0.125743 | − | 0.217792i | ||||
\(27\) | 0.500000 | + | 0.866025i | 0.0962250 | + | 0.166667i | ||||
\(28\) | −0.578894 | + | 0.210700i | −0.109401 | + | 0.0398186i | ||||
\(29\) | 6.97573 | − | 2.53896i | 1.29536 | − | 0.471472i | 0.399877 | − | 0.916569i | \(-0.369053\pi\) |
0.895483 | + | 0.445096i | \(0.146831\pi\) | |||||||
\(30\) | 0.500000 | + | 0.866025i | 0.0912871 | + | 0.158114i | ||||
\(31\) | 1.45698 | − | 2.52356i | 0.261681 | − | 0.453245i | −0.705008 | − | 0.709199i | \(-0.749057\pi\) |
0.966689 | + | 0.255955i | \(0.0823899\pi\) | |||||||
\(32\) | 0.173648 | − | 0.984808i | 0.0306970 | − | 0.174091i | ||||
\(33\) | −3.92127 | + | 3.29033i | −0.682605 | + | 0.572774i | ||||
\(34\) | −0.615128 | − | 0.516154i | −0.105494 | − | 0.0885197i | ||||
\(35\) | 0.106975 | + | 0.606687i | 0.0180821 | + | 0.102549i | ||||
\(36\) | −0.939693 | − | 0.342020i | −0.156615 | − | 0.0570034i | ||||
\(37\) | −8.92589 | −1.46741 | −0.733704 | − | 0.679469i | \(-0.762210\pi\) | ||||
−0.733704 | + | 0.679469i | \(0.762210\pi\) | |||||||
\(38\) | −0.303530 | + | 4.34832i | −0.0492391 | + | 0.705390i | ||||
\(39\) | 1.28233 | 0.205337 | ||||||||
\(40\) | −0.939693 | − | 0.342020i | −0.148578 | − | 0.0540781i | ||||
\(41\) | −0.716761 | − | 4.06495i | −0.111939 | − | 0.634839i | −0.988220 | − | 0.153038i | \(-0.951094\pi\) |
0.876281 | − | 0.481800i | \(-0.160017\pi\) | |||||||
\(42\) | −0.471919 | − | 0.395987i | −0.0728187 | − | 0.0611021i | ||||
\(43\) | −7.33788 | + | 6.15721i | −1.11902 | + | 0.938966i | −0.998554 | − | 0.0537518i | \(-0.982882\pi\) |
−0.120462 | + | 0.992718i | \(0.538438\pi\) | |||||||
\(44\) | 0.888879 | − | 5.04109i | 0.134004 | − | 0.759972i | ||||
\(45\) | −0.500000 | + | 0.866025i | −0.0745356 | + | 0.129099i | ||||
\(46\) | 2.79270 | + | 4.83710i | 0.411761 | + | 0.713191i | ||||
\(47\) | 2.00731 | − | 0.730599i | 0.292796 | − | 0.106569i | −0.191446 | − | 0.981503i | \(-0.561318\pi\) |
0.484242 | + | 0.874934i | \(0.339096\pi\) | |||||||
\(48\) | 0.939693 | − | 0.342020i | 0.135633 | − | 0.0493664i | ||||
\(49\) | 3.31024 | + | 5.73351i | 0.472892 | + | 0.819073i | ||||
\(50\) | −0.500000 | + | 0.866025i | −0.0707107 | + | 0.122474i | ||||
\(51\) | 0.139438 | − | 0.790794i | 0.0195253 | − | 0.110733i | ||||
\(52\) | −0.982320 | + | 0.824264i | −0.136223 | + | 0.114305i | ||||
\(53\) | −10.8441 | − | 9.09928i | −1.48955 | − | 1.24988i | −0.895191 | − | 0.445682i | \(-0.852961\pi\) |
−0.594360 | − | 0.804199i | \(-0.702594\pi\) | |||||||
\(54\) | −0.173648 | − | 0.984808i | −0.0236305 | − | 0.134015i | ||||
\(55\) | −4.81015 | − | 1.75075i | −0.648600 | − | 0.236071i | ||||
\(56\) | 0.616046 | 0.0823227 | ||||||||
\(57\) | −3.91752 | + | 1.91129i | −0.518888 | + | 0.253157i | ||||
\(58\) | −7.42341 | −0.974742 | ||||||||
\(59\) | −4.56957 | − | 1.66319i | −0.594907 | − | 0.216528i | 0.0269792 | − | 0.999636i | \(-0.491411\pi\) |
−0.621886 | + | 0.783108i | \(0.713633\pi\) | |||||||
\(60\) | −0.173648 | − | 0.984808i | −0.0224179 | − | 0.127138i | ||||
\(61\) | −6.59177 | − | 5.53115i | −0.843990 | − | 0.708192i | 0.114467 | − | 0.993427i | \(-0.463484\pi\) |
−0.958458 | + | 0.285235i | \(0.907928\pi\) | |||||||
\(62\) | −2.23222 | + | 1.87305i | −0.283492 | + | 0.237878i | ||||
\(63\) | 0.106975 | − | 0.606687i | 0.0134776 | − | 0.0764354i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 0.641164 | + | 1.11053i | 0.0795265 | + | 0.137744i | ||||
\(66\) | 4.81015 | − | 1.75075i | 0.592088 | − | 0.215503i | ||||
\(67\) | 10.0105 | − | 3.64352i | 1.22298 | − | 0.445127i | 0.351790 | − | 0.936079i | \(-0.385573\pi\) |
0.871187 | + | 0.490952i | \(0.163351\pi\) | |||||||
\(68\) | 0.401497 | + | 0.695413i | 0.0486886 | + | 0.0843312i | ||||
\(69\) | −2.79270 | + | 4.83710i | −0.336202 | + | 0.582318i | ||||
\(70\) | 0.106975 | − | 0.606687i | 0.0127860 | − | 0.0725130i | ||||
\(71\) | 6.09117 | − | 5.11110i | 0.722889 | − | 0.606575i | −0.205294 | − | 0.978700i | \(-0.565815\pi\) |
0.928183 | + | 0.372125i | \(0.121371\pi\) | |||||||
\(72\) | 0.766044 | + | 0.642788i | 0.0902792 | + | 0.0757532i | ||||
\(73\) | 1.72818 | + | 9.80098i | 0.202268 | + | 1.14712i | 0.901681 | + | 0.432401i | \(0.142334\pi\) |
−0.699413 | + | 0.714717i | \(0.746555\pi\) | |||||||
\(74\) | 8.38760 | + | 3.05284i | 0.975038 | + | 0.354885i | ||||
\(75\) | −1.00000 | −0.115470 | ||||||||
\(76\) | 1.77244 | − | 3.98227i | 0.203312 | − | 0.456798i | ||||
\(77\) | 3.15345 | 0.359369 | ||||||||
\(78\) | −1.20499 | − | 0.438582i | −0.136439 | − | 0.0496596i | ||||
\(79\) | −0.0499818 | − | 0.283461i | −0.00562339 | − | 0.0318919i | 0.981867 | − | 0.189571i | \(-0.0607098\pi\) |
−0.987490 | + | 0.157679i | \(0.949599\pi\) | |||||||
\(80\) | 0.766044 | + | 0.642788i | 0.0856464 | + | 0.0718658i | ||||
\(81\) | 0.766044 | − | 0.642788i | 0.0851160 | − | 0.0714208i | ||||
\(82\) | −0.716761 | + | 4.06495i | −0.0791530 | + | 0.448899i | ||||
\(83\) | −1.30961 | + | 2.26831i | −0.143748 | + | 0.248980i | −0.928905 | − | 0.370317i | \(-0.879249\pi\) |
0.785157 | + | 0.619297i | \(0.212582\pi\) | |||||||
\(84\) | 0.308023 | + | 0.533512i | 0.0336081 | + | 0.0582109i | ||||
\(85\) | 0.754567 | − | 0.274640i | 0.0818443 | − | 0.0297889i | ||||
\(86\) | 9.00124 | − | 3.27618i | 0.970629 | − | 0.353280i | ||||
\(87\) | −3.71171 | − | 6.42886i | −0.397937 | − | 0.689247i | ||||
\(88\) | −2.55943 | + | 4.43306i | −0.272836 | + | 0.472565i | ||||
\(89\) | 1.09825 | − | 6.22849i | 0.116414 | − | 0.660218i | −0.869626 | − | 0.493711i | \(-0.835640\pi\) |
0.986040 | − | 0.166507i | \(-0.0532489\pi\) | |||||||
\(90\) | 0.766044 | − | 0.642788i | 0.0807482 | − | 0.0677558i | ||||
\(91\) | −0.605154 | − | 0.507785i | −0.0634374 | − | 0.0532303i | ||||
\(92\) | −0.969895 | − | 5.50055i | −0.101119 | − | 0.573472i | ||||
\(93\) | −2.73822 | − | 0.996631i | −0.283940 | − | 0.103346i | ||||
\(94\) | −2.13613 | −0.220325 | ||||||||
\(95\) | −3.61399 | − | 2.43702i | −0.370787 | − | 0.250033i | ||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | 17.1128 | + | 6.22854i | 1.73754 | + | 0.632412i | 0.999120 | − | 0.0419314i | \(-0.0133511\pi\) |
0.738418 | + | 0.674344i | \(0.235573\pi\) | |||||||
\(98\) | −1.14964 | − | 6.51991i | −0.116131 | − | 0.658610i | ||||
\(99\) | 3.92127 | + | 3.29033i | 0.394102 | + | 0.330691i | ||||
\(100\) | 0.766044 | − | 0.642788i | 0.0766044 | − | 0.0642788i | ||||
\(101\) | −2.64839 | + | 15.0198i | −0.263525 | + | 1.49452i | 0.509679 | + | 0.860365i | \(0.329764\pi\) |
−0.773204 | + | 0.634158i | \(0.781347\pi\) | |||||||
\(102\) | −0.401497 | + | 0.695413i | −0.0397541 | + | 0.0688561i | ||||
\(103\) | 0.495734 | + | 0.858636i | 0.0488461 | + | 0.0846039i | 0.889415 | − | 0.457101i | \(-0.151112\pi\) |
−0.840569 | + | 0.541705i | \(0.817779\pi\) | |||||||
\(104\) | 1.20499 | − | 0.438582i | 0.118159 | − | 0.0430065i | ||||
\(105\) | 0.578894 | − | 0.210700i | 0.0564943 | − | 0.0205622i | ||||
\(106\) | 7.07798 | + | 12.2594i | 0.687474 | + | 1.19074i | ||||
\(107\) | 5.49292 | − | 9.51401i | 0.531020 | − | 0.919754i | −0.468324 | − | 0.883557i | \(-0.655142\pi\) |
0.999345 | − | 0.0361974i | \(-0.0115245\pi\) | |||||||
\(108\) | −0.173648 | + | 0.984808i | −0.0167093 | + | 0.0947632i | ||||
\(109\) | 9.33761 | − | 7.83518i | 0.894380 | − | 0.750474i | −0.0747034 | − | 0.997206i | \(-0.523801\pi\) |
0.969084 | + | 0.246732i | \(0.0793566\pi\) | |||||||
\(110\) | 3.92127 | + | 3.29033i | 0.373878 | + | 0.313721i | ||||
\(111\) | 1.54997 | + | 8.79029i | 0.147116 | + | 0.834337i | ||||
\(112\) | −0.578894 | − | 0.210700i | −0.0547004 | − | 0.0199093i | ||||
\(113\) | −6.00943 | −0.565320 | −0.282660 | − | 0.959220i | \(-0.591217\pi\) | ||||
−0.282660 | + | 0.959220i | \(0.591217\pi\) | |||||||
\(114\) | 4.33496 | − | 0.456159i | 0.406007 | − | 0.0427232i | ||||
\(115\) | −5.58540 | −0.520841 | ||||||||
\(116\) | 6.97573 | + | 2.53896i | 0.647680 | + | 0.235736i | ||||
\(117\) | −0.222674 | − | 1.26285i | −0.0205862 | − | 0.116750i | ||||
\(118\) | 3.72515 | + | 3.12577i | 0.342928 | + | 0.287750i | ||||
\(119\) | −0.378948 | + | 0.317975i | −0.0347381 | + | 0.0291487i | ||||
\(120\) | −0.173648 | + | 0.984808i | −0.0158518 | + | 0.0899002i | ||||
\(121\) | −7.60132 | + | 13.1659i | −0.691029 | + | 1.19690i | ||||
\(122\) | 4.30247 | + | 7.45210i | 0.389528 | + | 0.674682i | ||||
\(123\) | −3.87873 | + | 1.41174i | −0.349733 | + | 0.127293i | ||||
\(124\) | 2.73822 | − | 0.996631i | 0.245900 | − | 0.0895001i | ||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | −0.308023 | + | 0.533512i | −0.0274409 | + | 0.0475290i | ||||
\(127\) | 0.749393 | − | 4.25002i | 0.0664979 | − | 0.377128i | −0.933338 | − | 0.358999i | \(-0.883118\pi\) |
0.999836 | − | 0.0181289i | \(-0.00577091\pi\) | |||||||
\(128\) | 0.766044 | − | 0.642788i | 0.0677094 | − | 0.0568149i | ||||
\(129\) | 7.33788 | + | 6.15721i | 0.646064 | + | 0.542112i | ||||
\(130\) | −0.222674 | − | 1.26285i | −0.0195298 | − | 0.110759i | ||||
\(131\) | 14.5034 | + | 5.27879i | 1.26716 | + | 0.461210i | 0.886167 | − | 0.463366i | \(-0.153358\pi\) |
0.380997 | + | 0.924576i | \(0.375581\pi\) | |||||||
\(132\) | −5.11885 | −0.445539 | ||||||||
\(133\) | 2.60560 | + | 0.649311i | 0.225934 | + | 0.0563024i | ||||
\(134\) | −10.6529 | −0.920274 | ||||||||
\(135\) | 0.939693 | + | 0.342020i | 0.0808759 | + | 0.0294364i | ||||
\(136\) | −0.139438 | − | 0.790794i | −0.0119567 | − | 0.0678100i | ||||
\(137\) | 17.2636 | + | 14.4859i | 1.47493 | + | 1.23761i | 0.911402 | + | 0.411518i | \(0.135001\pi\) |
0.563530 | + | 0.826096i | \(0.309443\pi\) | |||||||
\(138\) | 4.27867 | − | 3.59023i | 0.364224 | − | 0.305620i | ||||
\(139\) | 2.87518 | − | 16.3060i | 0.243870 | − | 1.38305i | −0.579234 | − | 0.815161i | \(-0.696648\pi\) |
0.823103 | − | 0.567892i | \(-0.192241\pi\) | |||||||
\(140\) | −0.308023 | + | 0.533512i | −0.0260327 | + | 0.0450900i | ||||
\(141\) | −1.06806 | − | 1.84994i | −0.0899473 | − | 0.155793i | ||||
\(142\) | −7.47192 | + | 2.71956i | −0.627030 | + | 0.228220i | ||||
\(143\) | 6.16818 | − | 2.24503i | 0.515809 | − | 0.187739i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | 3.71171 | − | 6.42886i | 0.308240 | − | 0.533888i | ||||
\(146\) | 1.72818 | − | 9.80098i | 0.143025 | − | 0.811135i | ||||
\(147\) | 5.07159 | − | 4.25557i | 0.418297 | − | 0.350993i | ||||
\(148\) | −6.83763 | − | 5.73745i | −0.562050 | − | 0.471616i | ||||
\(149\) | 2.76667 | + | 15.6906i | 0.226655 | + | 1.28542i | 0.859497 | + | 0.511141i | \(0.170777\pi\) |
−0.632842 | + | 0.774281i | \(0.718112\pi\) | |||||||
\(150\) | 0.939693 | + | 0.342020i | 0.0767256 | + | 0.0279258i | ||||
\(151\) | 7.64372 | 0.622037 | 0.311019 | − | 0.950404i | \(-0.399330\pi\) | ||||
0.311019 | + | 0.950404i | \(0.399330\pi\) | |||||||
\(152\) | −3.02756 | + | 3.13590i | −0.245568 | + | 0.254355i | ||||
\(153\) | −0.802993 | −0.0649182 | ||||||||
\(154\) | −2.96327 | − | 1.07854i | −0.238787 | − | 0.0869115i | ||||
\(155\) | −0.506003 | − | 2.86969i | −0.0406431 | − | 0.230499i | ||||
\(156\) | 0.982320 | + | 0.824264i | 0.0786485 | + | 0.0659939i | ||||
\(157\) | 7.25804 | − | 6.09021i | 0.579254 | − | 0.486052i | −0.305448 | − | 0.952209i | \(-0.598806\pi\) |
0.884702 | + | 0.466157i | \(0.154362\pi\) | |||||||
\(158\) | −0.0499818 | + | 0.283461i | −0.00397634 | + | 0.0225509i | ||||
\(159\) | −7.07798 | + | 12.2594i | −0.561320 | + | 0.972235i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | 3.23336 | − | 1.17685i | 0.254824 | − | 0.0927484i | ||||
\(162\) | −0.939693 | + | 0.342020i | −0.0738292 | + | 0.0268716i | ||||
\(163\) | −1.90574 | − | 3.30083i | −0.149269 | − | 0.258541i | 0.781689 | − | 0.623669i | \(-0.214359\pi\) |
−0.930957 | + | 0.365128i | \(0.881025\pi\) | |||||||
\(164\) | 2.06383 | − | 3.57466i | 0.161158 | − | 0.279134i | ||||
\(165\) | −0.888879 | + | 5.04109i | −0.0691992 | + | 0.392448i | ||||
\(166\) | 2.00644 | − | 1.68360i | 0.155730 | − | 0.130673i | ||||
\(167\) | 8.94777 | + | 7.50807i | 0.692399 | + | 0.580992i | 0.919600 | − | 0.392856i | \(-0.128513\pi\) |
−0.227201 | + | 0.973848i | \(0.572957\pi\) | |||||||
\(168\) | −0.106975 | − | 0.606687i | −0.00825333 | − | 0.0468069i | ||||
\(169\) | 10.6708 | + | 3.88386i | 0.820831 | + | 0.298758i | ||||
\(170\) | −0.802993 | −0.0615868 | ||||||||
\(171\) | 2.56253 | + | 3.52611i | 0.195961 | + | 0.269648i | ||||
\(172\) | −9.57892 | −0.730386 | ||||||||
\(173\) | −5.35014 | − | 1.94729i | −0.406763 | − | 0.148050i | 0.130532 | − | 0.991444i | \(-0.458332\pi\) |
−0.537295 | + | 0.843394i | \(0.680554\pi\) | |||||||
\(174\) | 1.28906 | + | 7.31064i | 0.0977236 | + | 0.554218i | ||||
\(175\) | 0.471919 | + | 0.395987i | 0.0356737 | + | 0.0299338i | ||||
\(176\) | 3.92127 | − | 3.29033i | 0.295577 | − | 0.248018i | ||||
\(177\) | −0.844422 | + | 4.78896i | −0.0634707 | + | 0.359960i | ||||
\(178\) | −3.16229 | + | 5.47724i | −0.237023 | + | 0.410536i | ||||
\(179\) | −3.21619 | − | 5.57061i | −0.240389 | − | 0.416367i | 0.720436 | − | 0.693522i | \(-0.243942\pi\) |
−0.960825 | + | 0.277155i | \(0.910608\pi\) | |||||||
\(180\) | −0.939693 | + | 0.342020i | −0.0700406 | + | 0.0254927i | ||||
\(181\) | 18.5199 | − | 6.74068i | 1.37657 | − | 0.501030i | 0.455433 | − | 0.890270i | \(-0.349484\pi\) |
0.921137 | + | 0.389239i | \(0.127262\pi\) | |||||||
\(182\) | 0.394987 | + | 0.684137i | 0.0292783 | + | 0.0507116i | ||||
\(183\) | −4.30247 | + | 7.45210i | −0.318048 | + | 0.550875i | ||||
\(184\) | −0.969895 | + | 5.50055i | −0.0715016 | + | 0.405506i | ||||
\(185\) | −6.83763 | + | 5.73745i | −0.502713 | + | 0.421826i | ||||
\(186\) | 2.23222 | + | 1.87305i | 0.163674 | + | 0.137339i | ||||
\(187\) | −0.713764 | − | 4.04796i | −0.0521956 | − | 0.296016i | ||||
\(188\) | 2.00731 | + | 0.730599i | 0.146398 | + | 0.0532844i | ||||
\(189\) | −0.616046 | −0.0448108 | ||||||||
\(190\) | 2.56253 | + | 3.52611i | 0.185905 | + | 0.255811i | ||||
\(191\) | −14.1291 | −1.02234 | −0.511172 | − | 0.859478i | \(-0.670789\pi\) | ||||
−0.511172 | + | 0.859478i | \(0.670789\pi\) | |||||||
\(192\) | 0.939693 | + | 0.342020i | 0.0678165 | + | 0.0246832i | ||||
\(193\) | 0.154673 | + | 0.877192i | 0.0111336 | + | 0.0631417i | 0.989868 | − | 0.141988i | \(-0.0453495\pi\) |
−0.978735 | + | 0.205130i | \(0.934238\pi\) | |||||||
\(194\) | −13.9505 | − | 11.7058i | −1.00158 | − | 0.840429i | ||||
\(195\) | 0.982320 | − | 0.824264i | 0.0703454 | − | 0.0590268i | ||||
\(196\) | −1.14964 | + | 6.51991i | −0.0821168 | + | 0.465708i | ||||
\(197\) | 0.745537 | − | 1.29131i | 0.0531173 | − | 0.0920019i | −0.838244 | − | 0.545295i | \(-0.816418\pi\) |
0.891361 | + | 0.453293i | \(0.149751\pi\) | |||||||
\(198\) | −2.55943 | − | 4.43306i | −0.181890 | − | 0.315044i | ||||
\(199\) | −6.19396 | + | 2.25442i | −0.439078 | + | 0.159811i | −0.552094 | − | 0.833782i | \(-0.686171\pi\) |
0.113016 | + | 0.993593i | \(0.463949\pi\) | |||||||
\(200\) | −0.939693 | + | 0.342020i | −0.0664463 | + | 0.0241845i | ||||
\(201\) | −5.32647 | − | 9.22572i | −0.375700 | − | 0.650732i | ||||
\(202\) | 7.62573 | − | 13.2082i | 0.536545 | − | 0.929323i | ||||
\(203\) | −0.794122 | + | 4.50369i | −0.0557365 | + | 0.316097i | ||||
\(204\) | 0.615128 | − | 0.516154i | 0.0430676 | − | 0.0361380i | ||||
\(205\) | −3.16197 | − | 2.65321i | −0.220842 | − | 0.185308i | ||||
\(206\) | −0.172167 | − | 0.976405i | −0.0119954 | − | 0.0680294i | ||||
\(207\) | 5.24856 | + | 1.91032i | 0.364800 | + | 0.132776i | ||||
\(208\) | −1.28233 | −0.0889134 | ||||||||
\(209\) | −15.4976 | + | 16.0522i | −1.07199 | + | 1.11035i | ||||
\(210\) | −0.616046 | −0.0425112 | ||||||||
\(211\) | −9.92544 | − | 3.61256i | −0.683295 | − | 0.248699i | −0.0230335 | − | 0.999735i | \(-0.507332\pi\) |
−0.660262 | + | 0.751036i | \(0.729555\pi\) | |||||||
\(212\) | −2.45816 | − | 13.9409i | −0.168827 | − | 0.957465i | ||||
\(213\) | −6.09117 | − | 5.11110i | −0.417360 | − | 0.350207i | ||||
\(214\) | −8.41564 | + | 7.06156i | −0.575281 | + | 0.482718i | ||||
\(215\) | −1.66336 | + | 9.43340i | −0.113440 | + | 0.643352i | ||||
\(216\) | 0.500000 | − | 0.866025i | 0.0340207 | − | 0.0589256i | ||||
\(217\) | 0.897566 | + | 1.55463i | 0.0609307 | + | 0.105535i | ||||
\(218\) | −11.4543 | + | 4.16901i | −0.775781 | + | 0.282361i | ||||
\(219\) | 9.35199 | − | 3.40385i | 0.631949 | − | 0.230011i | ||||
\(220\) | −2.55943 | − | 4.43306i | −0.172556 | − | 0.298877i | ||||
\(221\) | −0.514850 | + | 0.891746i | −0.0346326 | + | 0.0599853i | ||||
\(222\) | 1.54997 | − | 8.79029i | 0.104027 | − | 0.589966i | ||||
\(223\) | −4.65533 | + | 3.90629i | −0.311744 | + | 0.261584i | −0.785212 | − | 0.619227i | \(-0.787446\pi\) |
0.473468 | + | 0.880811i | \(0.343002\pi\) | |||||||
\(224\) | 0.471919 | + | 0.395987i | 0.0315314 | + | 0.0264580i | ||||
\(225\) | 0.173648 | + | 0.984808i | 0.0115765 | + | 0.0656539i | ||||
\(226\) | 5.64702 | + | 2.05535i | 0.375634 | + | 0.136720i | ||||
\(227\) | −3.57215 | −0.237092 | −0.118546 | − | 0.992949i | \(-0.537823\pi\) | ||||
−0.118546 | + | 0.992949i | \(0.537823\pi\) | |||||||
\(228\) | −4.22955 | − | 1.05400i | −0.280109 | − | 0.0698026i | ||||
\(229\) | 4.34585 | 0.287182 | 0.143591 | − | 0.989637i | \(-0.454135\pi\) | ||||
0.143591 | + | 0.989637i | \(0.454135\pi\) | |||||||
\(230\) | 5.24856 | + | 1.91032i | 0.346080 | + | 0.125963i | ||||
\(231\) | −0.547591 | − | 3.10554i | −0.0360288 | − | 0.204330i | ||||
\(232\) | −5.68666 | − | 4.77168i | −0.373348 | − | 0.313276i | ||||
\(233\) | 7.43854 | − | 6.24168i | 0.487315 | − | 0.408906i | −0.365748 | − | 0.930714i | \(-0.619187\pi\) |
0.853063 | + | 0.521808i | \(0.174742\pi\) | |||||||
\(234\) | −0.222674 | + | 1.26285i | −0.0145566 | + | 0.0825548i | ||||
\(235\) | 1.06806 | − | 1.84994i | 0.0696729 | − | 0.120677i | ||||
\(236\) | −2.43142 | − | 4.21134i | −0.158272 | − | 0.274135i | ||||
\(237\) | −0.270475 | + | 0.0984450i | −0.0175693 | + | 0.00639469i | ||||
\(238\) | 0.464848 | − | 0.169191i | 0.0301316 | − | 0.0109670i | ||||
\(239\) | −4.94331 | − | 8.56207i | −0.319756 | − | 0.553834i | 0.660681 | − | 0.750667i | \(-0.270268\pi\) |
−0.980437 | + | 0.196833i | \(0.936934\pi\) | |||||||
\(240\) | 0.500000 | − | 0.866025i | 0.0322749 | − | 0.0559017i | ||||
\(241\) | 0.697919 | − | 3.95810i | 0.0449569 | − | 0.254963i | −0.954043 | − | 0.299669i | \(-0.903124\pi\) |
0.999000 | + | 0.0447054i | \(0.0142349\pi\) | |||||||
\(242\) | 11.6459 | − | 9.77207i | 0.748627 | − | 0.628173i | ||||
\(243\) | −0.766044 | − | 0.642788i | −0.0491418 | − | 0.0412348i | ||||
\(244\) | −1.49423 | − | 8.47422i | −0.0956585 | − | 0.542506i | ||||
\(245\) | 6.22122 | + | 2.26434i | 0.397459 | + | 0.144663i | ||||
\(246\) | 4.12766 | 0.263170 | ||||||||
\(247\) | 5.55884 | − | 0.584945i | 0.353701 | − | 0.0372192i | ||||
\(248\) | −2.91395 | −0.185036 | ||||||||
\(249\) | 2.46126 | + | 0.895827i | 0.155976 | + | 0.0567707i | ||||
\(250\) | 0.173648 | + | 0.984808i | 0.0109825 | + | 0.0622847i | ||||
\(251\) | −7.94863 | − | 6.66969i | −0.501713 | − | 0.420987i | 0.356489 | − | 0.934300i | \(-0.383974\pi\) |
−0.858202 | + | 0.513312i | \(0.828418\pi\) | |||||||
\(252\) | 0.471919 | − | 0.395987i | 0.0297281 | − | 0.0249448i | ||||
\(253\) | −4.96475 | + | 28.1565i | −0.312131 | + | 1.77018i | ||||
\(254\) | −2.15779 | + | 3.73741i | −0.135392 | + | 0.234506i | ||||
\(255\) | −0.401497 | − | 0.695413i | −0.0251427 | − | 0.0435484i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −14.9150 | + | 5.42862i | −0.930373 | + | 0.338628i | −0.762357 | − | 0.647156i | \(-0.775958\pi\) |
−0.168015 | + | 0.985784i | \(0.553736\pi\) | |||||||
\(258\) | −4.78946 | − | 8.29559i | −0.298179 | − | 0.516461i | ||||
\(259\) | 2.74938 | − | 4.76207i | 0.170838 | − | 0.295901i | ||||
\(260\) | −0.222674 | + | 1.26285i | −0.0138096 | + | 0.0783184i | ||||
\(261\) | −5.68666 | + | 4.77168i | −0.351996 | + | 0.295359i | ||||
\(262\) | −11.8232 | − | 9.92088i | −0.730443 | − | 0.612914i | ||||
\(263\) | −2.45437 | − | 13.9194i | −0.151343 | − | 0.858310i | −0.962053 | − | 0.272862i | \(-0.912030\pi\) |
0.810710 | − | 0.585448i | \(-0.199081\pi\) | |||||||
\(264\) | 4.81015 | + | 1.75075i | 0.296044 | + | 0.107751i | ||||
\(265\) | −14.1560 | −0.869594 | ||||||||
\(266\) | −2.22639 | − | 1.50132i | −0.136508 | − | 0.0920518i | ||||
\(267\) | −6.32457 | −0.387057 | ||||||||
\(268\) | 10.0105 | + | 3.64352i | 0.611488 | + | 0.222564i | ||||
\(269\) | 2.11201 | + | 11.9778i | 0.128771 | + | 0.730298i | 0.978996 | + | 0.203878i | \(0.0653547\pi\) |
−0.850225 | + | 0.526420i | \(0.823534\pi\) | |||||||
\(270\) | −0.766044 | − | 0.642788i | −0.0466200 | − | 0.0391188i | ||||
\(271\) | 12.2642 | − | 10.2909i | 0.744995 | − | 0.625125i | −0.189179 | − | 0.981943i | \(-0.560583\pi\) |
0.934174 | + | 0.356818i | \(0.116138\pi\) | |||||||
\(272\) | −0.139438 | + | 0.790794i | −0.00845469 | + | 0.0479489i | ||||
\(273\) | −0.394987 | + | 0.684137i | −0.0239057 | + | 0.0414058i | ||||
\(274\) | −11.2680 | − | 19.5168i | −0.680727 | − | 1.17905i | ||||
\(275\) | −4.81015 | + | 1.75075i | −0.290063 | + | 0.105574i | ||||
\(276\) | −5.24856 | + | 1.91032i | −0.315926 | + | 0.114988i | ||||
\(277\) | −6.32863 | − | 10.9615i | −0.380251 | − | 0.658614i | 0.610847 | − | 0.791749i | \(-0.290829\pi\) |
−0.991098 | + | 0.133135i | \(0.957496\pi\) | |||||||
\(278\) | −8.27875 | + | 14.3392i | −0.496526 | + | 0.860009i | ||||
\(279\) | −0.506003 | + | 2.86969i | −0.0302936 | + | 0.171804i | ||||
\(280\) | 0.471919 | − | 0.395987i | 0.0282026 | − | 0.0236648i | ||||
\(281\) | 6.73494 | + | 5.65129i | 0.401773 | + | 0.337127i | 0.821178 | − | 0.570672i | \(-0.193317\pi\) |
−0.419406 | + | 0.907799i | \(0.637761\pi\) | |||||||
\(282\) | 0.370935 | + | 2.10368i | 0.0220889 | + | 0.125272i | ||||
\(283\) | 12.6738 | + | 4.61287i | 0.753377 | + | 0.274207i | 0.690026 | − | 0.723785i | \(-0.257599\pi\) |
0.0633507 | + | 0.997991i | \(0.479821\pi\) | |||||||
\(284\) | 7.95145 | 0.471832 | ||||||||
\(285\) | −1.77244 | + | 3.98227i | −0.104990 | + | 0.235889i | ||||
\(286\) | −6.56404 | −0.388140 | ||||||||
\(287\) | 2.38948 | + | 0.869699i | 0.141046 | + | 0.0513367i | ||||
\(288\) | 0.173648 | + | 0.984808i | 0.0102323 | + | 0.0580304i | ||||
\(289\) | −12.5288 | − | 10.5129i | −0.736989 | − | 0.618407i | ||||
\(290\) | −5.68666 | + | 4.77168i | −0.333932 | + | 0.280203i | ||||
\(291\) | 3.16231 | − | 17.9344i | 0.185378 | − | 1.05133i | ||||
\(292\) | −4.97609 | + | 8.61884i | −0.291204 | + | 0.504379i | ||||
\(293\) | −2.91006 | − | 5.04038i | −0.170008 | − | 0.294462i | 0.768415 | − | 0.639952i | \(-0.221046\pi\) |
−0.938422 | + | 0.345490i | \(0.887713\pi\) | |||||||
\(294\) | −6.22122 | + | 2.26434i | −0.362829 | + | 0.132059i | ||||
\(295\) | −4.56957 | + | 1.66319i | −0.266051 | + | 0.0968345i | ||||
\(296\) | 4.46295 | + | 7.73005i | 0.259404 | + | 0.449300i | ||||
\(297\) | 2.55943 | − | 4.43306i | 0.148513 | − | 0.257232i | ||||
\(298\) | 2.76667 | − | 15.6906i | 0.160269 | − | 0.908930i | ||||
\(299\) | 5.48665 | − | 4.60384i | 0.317301 | − | 0.266247i | ||||
\(300\) | −0.766044 | − | 0.642788i | −0.0442276 | − | 0.0371114i | ||||
\(301\) | −1.02471 | − | 5.81141i | −0.0590632 | − | 0.334964i | ||||
\(302\) | −7.18275 | − | 2.61431i | −0.413321 | − | 0.150436i | ||||
\(303\) | 15.2515 | 0.876174 | ||||||||
\(304\) | 3.91752 | − | 1.91129i | 0.224685 | − | 0.109620i | ||||
\(305\) | −8.60495 | −0.492718 | ||||||||
\(306\) | 0.754567 | + | 0.274640i | 0.0431357 | + | 0.0157001i | ||||
\(307\) | 0.487721 | + | 2.76601i | 0.0278357 | + | 0.157864i | 0.995557 | − | 0.0941574i | \(-0.0300157\pi\) |
−0.967722 | + | 0.252022i | \(0.918905\pi\) | |||||||
\(308\) | 2.41568 | + | 2.02700i | 0.137646 | + | 0.115499i | ||||
\(309\) | 0.759508 | − | 0.637303i | 0.0432069 | − | 0.0362549i | ||||
\(310\) | −0.506003 | + | 2.86969i | −0.0287390 | + | 0.162987i | ||||
\(311\) | −4.70806 | + | 8.15461i | −0.266970 | + | 0.462405i | −0.968078 | − | 0.250650i | \(-0.919356\pi\) |
0.701108 | + | 0.713055i | \(0.252689\pi\) | |||||||
\(312\) | −0.641164 | − | 1.11053i | −0.0362987 | − | 0.0628713i | ||||
\(313\) | 12.0775 | − | 4.39585i | 0.682661 | − | 0.248468i | 0.0226715 | − | 0.999743i | \(-0.492783\pi\) |
0.659990 | + | 0.751275i | \(0.270561\pi\) | |||||||
\(314\) | −8.90330 | + | 3.24054i | −0.502442 | + | 0.182874i | ||||
\(315\) | −0.308023 | − | 0.533512i | −0.0173551 | − | 0.0300600i | ||||
\(316\) | 0.143917 | − | 0.249271i | 0.00809596 | − | 0.0140226i | ||||
\(317\) | −2.18784 | + | 12.4078i | −0.122881 | + | 0.696893i | 0.859663 | + | 0.510862i | \(0.170674\pi\) |
−0.982544 | + | 0.186031i | \(0.940437\pi\) | |||||||
\(318\) | 10.8441 | − | 9.09928i | 0.608107 | − | 0.510262i | ||||
\(319\) | −29.1092 | − | 24.4255i | −1.62980 | − | 1.36757i | ||||
\(320\) | 0.173648 | + | 0.984808i | 0.00970723 | + | 0.0550524i | ||||
\(321\) | −10.3233 | − | 3.75738i | −0.576191 | − | 0.209716i | ||||
\(322\) | −3.44087 | −0.191752 | ||||||||
\(323\) | 0.243732 | − | 3.49167i | 0.0135616 | − | 0.194282i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 1.20499 | + | 0.438582i | 0.0668410 | + | 0.0243281i | ||||
\(326\) | 0.661855 | + | 3.75357i | 0.0366568 | + | 0.207891i | ||||
\(327\) | −9.33761 | − | 7.83518i | −0.516371 | − | 0.433287i | ||||
\(328\) | −3.16197 | + | 2.65321i | −0.174591 | + | 0.146499i | ||||
\(329\) | −0.228513 | + | 1.29596i | −0.0125983 | + | 0.0714487i | ||||
\(330\) | 2.55943 | − | 4.43306i | 0.140892 | − | 0.244032i | ||||
\(331\) | 8.09975 | + | 14.0292i | 0.445202 | + | 0.771113i | 0.998066 | − | 0.0621583i | \(-0.0197984\pi\) |
−0.552864 | + | 0.833272i | \(0.686465\pi\) | |||||||
\(332\) | −2.46126 | + | 0.895827i | −0.135079 | + | 0.0491649i | ||||
\(333\) | 8.38760 | − | 3.05284i | 0.459637 | − | 0.167294i | ||||
\(334\) | −5.84024 | − | 10.1156i | −0.319564 | − | 0.553501i | ||||
\(335\) | 5.32647 | − | 9.22572i | 0.291016 | − | 0.504055i | ||||
\(336\) | −0.106975 | + | 0.606687i | −0.00583598 | + | 0.0330975i | ||||
\(337\) | 14.2893 | − | 11.9901i | 0.778387 | − | 0.653144i | −0.164455 | − | 0.986385i | \(-0.552586\pi\) |
0.942842 | + | 0.333240i | \(0.108142\pi\) | |||||||
\(338\) | −8.69892 | − | 7.29926i | −0.473159 | − | 0.397028i | ||||
\(339\) | 1.04353 | + | 5.91813i | 0.0566766 | + | 0.321429i | ||||
\(340\) | 0.754567 | + | 0.274640i | 0.0409221 | + | 0.0148944i | ||||
\(341\) | −14.9161 | −0.807752 | ||||||||
\(342\) | −1.20199 | − | 4.18990i | −0.0649960 | − | 0.226564i | ||||
\(343\) | −8.39085 | −0.453063 | ||||||||
\(344\) | 9.00124 | + | 3.27618i | 0.485315 | + | 0.176640i | ||||
\(345\) | 0.969895 | + | 5.50055i | 0.0522174 | + | 0.296139i | ||||
\(346\) | 4.36147 | + | 3.65971i | 0.234474 | + | 0.196747i | ||||
\(347\) | −5.09796 | + | 4.27770i | −0.273673 | + | 0.229639i | −0.769286 | − | 0.638905i | \(-0.779388\pi\) |
0.495613 | + | 0.868543i | \(0.334943\pi\) | |||||||
\(348\) | 1.28906 | − | 7.31064i | 0.0691010 | − | 0.391891i | ||||
\(349\) | −4.79224 | + | 8.30041i | −0.256523 | + | 0.444311i | −0.965308 | − | 0.261114i | \(-0.915910\pi\) |
0.708785 | + | 0.705424i | \(0.249244\pi\) | |||||||
\(350\) | −0.308023 | − | 0.533512i | −0.0164645 | − | 0.0285174i | ||||
\(351\) | −1.20499 | + | 0.438582i | −0.0643178 | + | 0.0234098i | ||||
\(352\) | −4.81015 | + | 1.75075i | −0.256382 | + | 0.0933153i | ||||
\(353\) | −12.5316 | − | 21.7054i | −0.666992 | − | 1.15526i | −0.978741 | − | 0.205099i | \(-0.934248\pi\) |
0.311750 | − | 0.950164i | \(-0.399085\pi\) | |||||||
\(354\) | 2.43142 | − | 4.21134i | 0.129228 | − | 0.223830i | ||||
\(355\) | 1.38076 | − | 7.83065i | 0.0732829 | − | 0.415608i | ||||
\(356\) | 4.84490 | − | 4.06536i | 0.256779 | − | 0.215463i | ||||
\(357\) | 0.378948 | + | 0.317975i | 0.0200560 | + | 0.0168290i | ||||
\(358\) | 1.11697 | + | 6.33466i | 0.0590338 | + | 0.334797i | ||||
\(359\) | 27.5961 | + | 10.0442i | 1.45647 | + | 0.530111i | 0.944390 | − | 0.328829i | \(-0.106654\pi\) |
0.512077 | + | 0.858939i | \(0.328876\pi\) | |||||||
\(360\) | 1.00000 | 0.0527046 | ||||||||
\(361\) | −16.1105 | + | 10.0724i | −0.847919 | + | 0.530127i | ||||
\(362\) | −19.7084 | −1.03585 | ||||||||
\(363\) | 14.2858 | + | 5.19961i | 0.749811 | + | 0.272909i | ||||
\(364\) | −0.137177 | − | 0.777972i | −0.00719005 | − | 0.0407768i | ||||
\(365\) | 7.62381 | + | 6.39714i | 0.399049 | + | 0.334841i | ||||
\(366\) | 6.59177 | − | 5.53115i | 0.344558 | − | 0.289118i | ||||
\(367\) | −4.25955 | + | 24.1571i | −0.222347 | + | 1.26099i | 0.645346 | + | 0.763890i | \(0.276713\pi\) |
−0.867693 | + | 0.497100i | \(0.834398\pi\) | |||||||
\(368\) | 2.79270 | − | 4.83710i | 0.145580 | − | 0.252151i | ||||
\(369\) | 2.06383 | + | 3.57466i | 0.107439 | + | 0.186089i | ||||
\(370\) | 8.38760 | − | 3.05284i | 0.436050 | − | 0.158709i | ||||
\(371\) | 8.19480 | − | 2.98266i | 0.425453 | − | 0.154852i | ||||
\(372\) | −1.45698 | − | 2.52356i | −0.0755408 | − | 0.130840i | ||||
\(373\) | 11.1791 | − | 19.3628i | 0.578832 | − | 1.00257i | −0.416782 | − | 0.909007i | \(-0.636842\pi\) |
0.995614 | − | 0.0935598i | \(-0.0298246\pi\) | |||||||
\(374\) | −0.713764 | + | 4.04796i | −0.0369079 | + | 0.209315i | ||||
\(375\) | −0.766044 | + | 0.642788i | −0.0395584 | + | 0.0331934i | ||||
\(376\) | −1.63637 | − | 1.37308i | −0.0843893 | − | 0.0708111i | ||||
\(377\) | 1.65300 | + | 9.37463i | 0.0851338 | + | 0.482818i | ||||
\(378\) | 0.578894 | + | 0.210700i | 0.0297751 | + | 0.0108373i | ||||
\(379\) | −18.0800 | −0.928709 | −0.464355 | − | 0.885649i | \(-0.653714\pi\) | ||||
−0.464355 | + | 0.885649i | \(0.653714\pi\) | |||||||
\(380\) | −1.20199 | − | 4.18990i | −0.0616607 | − | 0.214937i | ||||
\(381\) | −4.31558 | −0.221094 | ||||||||
\(382\) | 13.2770 | + | 4.83243i | 0.679310 | + | 0.247249i | ||||
\(383\) | −1.66303 | − | 9.43149i | −0.0849766 | − | 0.481926i | −0.997362 | − | 0.0725933i | \(-0.976872\pi\) |
0.912385 | − | 0.409333i | \(-0.134239\pi\) | |||||||
\(384\) | −0.766044 | − | 0.642788i | −0.0390920 | − | 0.0328021i | ||||
\(385\) | 2.41568 | − | 2.02700i | 0.123115 | − | 0.103305i | ||||
\(386\) | 0.154673 | − | 0.877192i | 0.00787263 | − | 0.0446479i | ||||
\(387\) | 4.78946 | − | 8.29559i | 0.243462 | − | 0.421689i | ||||
\(388\) | 9.10551 | + | 15.7712i | 0.462262 | + | 0.800662i | ||||
\(389\) | −22.6312 | + | 8.23708i | −1.14745 | + | 0.417637i | −0.844597 | − | 0.535402i | \(-0.820160\pi\) |
−0.302850 | + | 0.953038i | \(0.597938\pi\) | |||||||
\(390\) | −1.20499 | + | 0.438582i | −0.0610172 | + | 0.0222084i | ||||
\(391\) | −2.24252 | − | 3.88416i | −0.113409 | − | 0.196430i | ||||
\(392\) | 3.31024 | − | 5.73351i | 0.167193 | − | 0.289586i | ||||
\(393\) | 2.68011 | − | 15.1997i | 0.135194 | − | 0.766722i | ||||
\(394\) | −1.14223 | + | 0.958444i | −0.0575447 | + | 0.0482857i | ||||
\(395\) | −0.220493 | − | 0.185016i | −0.0110942 | − | 0.00930917i | ||||
\(396\) | 0.888879 | + | 5.04109i | 0.0446679 | + | 0.253324i | ||||
\(397\) | −14.6026 | − | 5.31493i | −0.732886 | − | 0.266749i | −0.0514998 | − | 0.998673i | \(-0.516400\pi\) |
−0.681386 | + | 0.731924i | \(0.738622\pi\) | |||||||
\(398\) | 6.59148 | 0.330401 | ||||||||
\(399\) | 0.186989 | − | 2.67877i | 0.00936113 | − | 0.134106i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | −26.8999 | − | 9.79075i | −1.34332 | − | 0.488927i | −0.432460 | − | 0.901653i | \(-0.642354\pi\) |
−0.910855 | + | 0.412726i | \(0.864577\pi\) | |||||||
\(402\) | 1.84986 | + | 10.4911i | 0.0922629 | + | 0.523249i | ||||
\(403\) | 2.86243 | + | 2.40187i | 0.142588 | + | 0.119646i | ||||
\(404\) | −11.6833 | + | 9.80346i | −0.581266 | + | 0.487740i | ||||
\(405\) | 0.173648 | − | 0.984808i | 0.00862865 | − | 0.0489355i | ||||
\(406\) | 2.28658 | − | 3.96048i | 0.113481 | − | 0.196555i | ||||
\(407\) | 22.8452 | + | 39.5690i | 1.13239 | + | 1.96136i | ||||
\(408\) | −0.754567 | + | 0.274640i | −0.0373566 | + | 0.0135967i | ||||
\(409\) | 35.8037 | − | 13.0315i | 1.77038 | − | 0.644365i | 0.770402 | − | 0.637559i | \(-0.220056\pi\) |
0.999977 | − | 0.00680639i | \(-0.00216656\pi\) | |||||||
\(410\) | 2.06383 | + | 3.57466i | 0.101925 | + | 0.176540i | ||||
\(411\) | 11.2680 | − | 19.5168i | 0.555811 | − | 0.962693i | ||||
\(412\) | −0.172167 | + | 0.976405i | −0.00848204 | + | 0.0481040i | ||||
\(413\) | 2.29486 | − | 1.92562i | 0.112923 | − | 0.0947535i | ||||
\(414\) | −4.27867 | − | 3.59023i | −0.210285 | − | 0.176450i | ||||
\(415\) | 0.454823 | + | 2.57943i | 0.0223264 | + | 0.126619i | ||||
\(416\) | 1.20499 | + | 0.438582i | 0.0590797 | + | 0.0215032i | ||||
\(417\) | −16.5575 | −0.810824 | ||||||||
\(418\) | 20.0532 | − | 9.78363i | 0.980834 | − | 0.478533i | ||||
\(419\) | 12.5098 | 0.611142 | 0.305571 | − | 0.952169i | \(-0.401153\pi\) | ||||
0.305571 | + | 0.952169i | \(0.401153\pi\) | |||||||
\(420\) | 0.578894 | + | 0.210700i | 0.0282471 | + | 0.0102811i | ||||
\(421\) | 5.52419 | + | 31.3293i | 0.269233 | + | 1.52690i | 0.756705 | + | 0.653757i | \(0.226808\pi\) |
−0.487472 | + | 0.873139i | \(0.662081\pi\) | |||||||
\(422\) | 8.09129 | + | 6.78940i | 0.393878 | + | 0.330503i | ||||
\(423\) | −1.63637 | + | 1.37308i | −0.0795630 | + | 0.0667613i | ||||
\(424\) | −2.45816 | + | 13.9409i | −0.119379 | + | 0.677030i | ||||
\(425\) | 0.401497 | − | 0.695413i | 0.0194754 | − | 0.0337325i | ||||
\(426\) | 3.97573 | + | 6.88616i | 0.192625 | + | 0.333636i | ||||
\(427\) | 4.98136 | − | 1.81307i | 0.241065 | − | 0.0877404i | ||||
\(428\) | 10.3233 | − | 3.75738i | 0.498996 | − | 0.181620i | ||||
\(429\) | −3.28202 | − | 5.68463i | −0.158457 | − | 0.274456i | ||||
\(430\) | 4.78946 | − | 8.29559i | 0.230968 | − | 0.400049i | ||||
\(431\) | −1.34094 | + | 7.60487i | −0.0645910 | + | 0.366314i | 0.935330 | + | 0.353775i | \(0.115102\pi\) |
−0.999921 | + | 0.0125383i | \(0.996009\pi\) | |||||||
\(432\) | −0.766044 | + | 0.642788i | −0.0368563 | + | 0.0309261i | ||||
\(433\) | 15.4919 | + | 12.9992i | 0.744491 | + | 0.624703i | 0.934040 | − | 0.357169i | \(-0.116258\pi\) |
−0.189548 | + | 0.981871i | \(0.560702\pi\) | |||||||
\(434\) | −0.311721 | − | 1.76786i | −0.0149631 | − | 0.0848600i | ||||
\(435\) | −6.97573 | − | 2.53896i | −0.334461 | − | 0.121734i | ||||
\(436\) | 12.1894 | 0.583765 | ||||||||
\(437\) | −9.89977 | + | 22.2426i | −0.473570 | + | 1.06401i | ||||
\(438\) | −9.95218 | −0.475534 | ||||||||
\(439\) | −17.4060 | − | 6.33526i | −0.830742 | − | 0.302365i | −0.108578 | − | 0.994088i | \(-0.534630\pi\) |
−0.722163 | + | 0.691723i | \(0.756852\pi\) | |||||||
\(440\) | 0.888879 | + | 5.04109i | 0.0423757 | + | 0.240324i | ||||
\(441\) | −5.07159 | − | 4.25557i | −0.241504 | − | 0.202646i | ||||
\(442\) | 0.788796 | − | 0.661878i | 0.0375192 | − | 0.0314823i | ||||
\(443\) | −2.30451 | + | 13.0695i | −0.109490 | + | 0.620951i | 0.879841 | + | 0.475268i | \(0.157649\pi\) |
−0.989331 | + | 0.145683i | \(0.953462\pi\) | |||||||
\(444\) | −4.46295 | + | 7.73005i | −0.211802 | + | 0.366852i | ||||
\(445\) | −3.16229 | − | 5.47724i | −0.149907 | − | 0.259646i | ||||
\(446\) | 5.71061 | − | 2.07849i | 0.270405 | − | 0.0984194i | ||||
\(447\) | 14.9718 | − | 5.44928i | 0.708140 | − | 0.257742i | ||||
\(448\) | −0.308023 | − | 0.533512i | −0.0145527 | − | 0.0252061i | ||||
\(449\) | −12.2404 | + | 21.2009i | −0.577658 | + | 1.00053i | 0.418089 | + | 0.908406i | \(0.362700\pi\) |
−0.995747 | + | 0.0921276i | \(0.970633\pi\) | |||||||
\(450\) | 0.173648 | − | 0.984808i | 0.00818585 | − | 0.0464243i | ||||
\(451\) | −16.1857 | + | 13.5814i | −0.762153 | + | 0.639522i | ||||
\(452\) | −4.60349 | − | 3.86279i | −0.216530 | − | 0.181690i | ||||
\(453\) | −1.32732 | − | 7.52760i | −0.0623629 | − | 0.353677i | ||||
\(454\) | 3.35673 | + | 1.22175i | 0.157539 | + | 0.0573395i | ||||
\(455\) | −0.789973 | −0.0370345 | ||||||||
\(456\) | 3.61399 | + | 2.43702i | 0.169241 | + | 0.114124i | ||||
\(457\) | 2.19624 | 0.102736 | 0.0513678 | − | 0.998680i | \(-0.483642\pi\) | ||||
0.0513678 | + | 0.998680i | \(0.483642\pi\) | |||||||
\(458\) | −4.08376 | − | 1.48637i | −0.190822 | − | 0.0694534i | ||||
\(459\) | 0.139438 | + | 0.790794i | 0.00650842 | + | 0.0369111i | ||||
\(460\) | −4.27867 | − | 3.59023i | −0.199494 | − | 0.167395i | ||||
\(461\) | −23.0192 | + | 19.3154i | −1.07211 | + | 0.899607i | −0.995242 | − | 0.0974339i | \(-0.968937\pi\) |
−0.0768683 | + | 0.997041i | \(0.524492\pi\) | |||||||
\(462\) | −0.547591 | + | 3.10554i | −0.0254762 | + | 0.144483i | ||||
\(463\) | −15.7000 | + | 27.1932i | −0.729641 | + | 1.26378i | 0.227394 | + | 0.973803i | \(0.426979\pi\) |
−0.957035 | + | 0.289972i | \(0.906354\pi\) | |||||||
\(464\) | 3.71171 | + | 6.42886i | 0.172312 | + | 0.298453i | ||||
\(465\) | −2.73822 | + | 0.996631i | −0.126982 | + | 0.0462177i | ||||
\(466\) | −9.12473 | + | 3.32113i | −0.422695 | + | 0.153848i | ||||
\(467\) | −15.1508 | − | 26.2420i | −0.701096 | − | 1.21433i | −0.968082 | − | 0.250633i | \(-0.919361\pi\) |
0.266986 | − | 0.963700i | \(-0.413972\pi\) | |||||||
\(468\) | 0.641164 | − | 1.11053i | 0.0296378 | − | 0.0513342i | ||||
\(469\) | −1.13960 | + | 6.46301i | −0.0526220 | + | 0.298434i | ||||
\(470\) | −1.63637 | + | 1.37308i | −0.0754801 | + | 0.0633353i | ||||
\(471\) | −7.25804 | − | 6.09021i | −0.334433 | − | 0.280622i | ||||
\(472\) | 0.844422 | + | 4.78896i | 0.0388677 | + | 0.220430i | ||||
\(473\) | 46.0760 | + | 16.7703i | 2.11858 | + | 0.771099i | ||||
\(474\) | 0.287834 | 0.0132206 | ||||||||
\(475\) | −4.33496 | + | 0.456159i | −0.198902 | + | 0.0209300i | ||||
\(476\) | −0.494681 | −0.0226737 | ||||||||
\(477\) | 13.3023 | + | 4.84162i | 0.609068 | + | 0.221683i | ||||
\(478\) | 1.71679 | + | 9.73642i | 0.0785243 | + | 0.445334i | ||||
\(479\) | 27.3756 | + | 22.9709i | 1.25082 | + | 1.04957i | 0.996598 | + | 0.0824202i | \(0.0262650\pi\) |
0.254225 | + | 0.967145i | \(0.418179\pi\) | |||||||
\(480\) | −0.766044 | + | 0.642788i | −0.0349650 | + | 0.0293391i | ||||
\(481\) | 1.98756 | − | 11.2720i | 0.0906250 | − | 0.513960i | ||||
\(482\) | −2.00958 | + | 3.48069i | −0.0915338 | + | 0.158541i | ||||
\(483\) | −1.72043 | − | 2.97988i | −0.0782824 | − | 0.135589i | ||||
\(484\) | −14.2858 | + | 5.19961i | −0.649355 | + | 0.236346i | ||||
\(485\) | 17.1128 | − | 6.22854i | 0.777051 | − | 0.282823i | ||||
\(486\) | 0.500000 | + | 0.866025i | 0.0226805 | + | 0.0392837i | ||||
\(487\) | −1.10121 | + | 1.90735i | −0.0499006 | + | 0.0864304i | −0.889897 | − | 0.456162i | \(-0.849224\pi\) |
0.839996 | + | 0.542592i | \(0.182557\pi\) | |||||||
\(488\) | −1.49423 | + | 8.47422i | −0.0676408 | + | 0.383610i | ||||
\(489\) | −2.91976 | + | 2.44997i | −0.132036 | + | 0.110791i | ||||
\(490\) | −5.07159 | − | 4.25557i | −0.229111 | − | 0.192247i | ||||
\(491\) | 1.18706 | + | 6.73217i | 0.0535714 | + | 0.303819i | 0.999807 | − | 0.0196605i | \(-0.00625852\pi\) |
−0.946235 | + | 0.323479i | \(0.895147\pi\) | |||||||
\(492\) | −3.87873 | − | 1.41174i | −0.174867 | − | 0.0636463i | ||||
\(493\) | 5.96095 | 0.268468 | ||||||||
\(494\) | −5.42367 | − | 1.35157i | −0.244022 | − | 0.0608099i | ||||
\(495\) | 5.11885 | 0.230075 | ||||||||
\(496\) | 2.73822 | + | 0.996631i | 0.122950 | + | 0.0447501i | ||||
\(497\) | 0.850609 | + | 4.82405i | 0.0381551 | + | 0.216388i | ||||
\(498\) | −2.00644 | − | 1.68360i | −0.0899107 | − | 0.0754441i | ||||
\(499\) | 33.6786 | − | 28.2597i | 1.50766 | − | 1.26508i | 0.639502 | − | 0.768789i | \(-0.279140\pi\) |
0.868158 | − | 0.496288i | \(-0.165304\pi\) | |||||||
\(500\) | 0.173648 | − | 0.984808i | 0.00776578 | − | 0.0440419i | ||||
\(501\) | 5.84024 | − | 10.1156i | 0.260923 | − | 0.451931i | ||||
\(502\) | 5.18810 | + | 8.98605i | 0.231556 | + | 0.401067i | ||||
\(503\) | 9.27404 | − | 3.37548i | 0.413509 | − | 0.150505i | −0.126884 | − | 0.991918i | \(-0.540498\pi\) |
0.540393 | + | 0.841412i | \(0.318275\pi\) | |||||||
\(504\) | −0.578894 | + | 0.210700i | −0.0257860 | + | 0.00938534i | ||||
\(505\) | 7.62573 | + | 13.2082i | 0.339341 | + | 0.587755i | ||||
\(506\) | 14.2954 | − | 24.7604i | 0.635509 | − | 1.10073i | ||||
\(507\) | 1.97189 | − | 11.1831i | 0.0875745 | − | 0.496660i | ||||
\(508\) | 3.30593 | − | 2.77400i | 0.146677 | − | 0.123077i | ||||
\(509\) | −17.1278 | − | 14.3720i | −0.759178 | − | 0.637026i | 0.178735 | − | 0.983897i | \(-0.442800\pi\) |
−0.937913 | + | 0.346871i | \(0.887244\pi\) | |||||||
\(510\) | 0.139438 | + | 0.790794i | 0.00617443 | + | 0.0350169i | ||||
\(511\) | −5.76126 | − | 2.09693i | −0.254863 | − | 0.0927626i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 3.02756 | − | 3.13590i | 0.133670 | − | 0.138453i | ||||
\(514\) | 15.8722 | 0.700094 | ||||||||
\(515\) | 0.931675 | + | 0.339102i | 0.0410545 | + | 0.0149426i | ||||
\(516\) | 1.66336 | + | 9.43340i | 0.0732255 | + | 0.415282i | ||||
\(517\) | −8.37634 | − | 7.02858i | −0.368391 | − | 0.309117i | ||||
\(518\) | −4.21230 | + | 3.53454i | −0.185078 | + | 0.155299i | ||||
\(519\) | −0.988665 | + | 5.60700i | −0.0433976 | + | 0.246120i | ||||
\(520\) | 0.641164 | − | 1.11053i | 0.0281169 | − | 0.0486999i | ||||
\(521\) | −7.79971 | − | 13.5095i | −0.341712 | − | 0.591862i | 0.643039 | − | 0.765833i | \(-0.277673\pi\) |
−0.984751 | + | 0.173971i | \(0.944340\pi\) | |||||||
\(522\) | 6.97573 | − | 2.53896i | 0.305319 | − | 0.111127i | ||||
\(523\) | 40.4323 | − | 14.7162i | 1.76798 | − | 0.643493i | 0.767986 | − | 0.640467i | \(-0.221259\pi\) |
0.999995 | − | 0.00302595i | \(-0.000963192\pi\) | |||||||
\(524\) | 7.71708 | + | 13.3664i | 0.337122 | + | 0.583913i | ||||
\(525\) | 0.308023 | − | 0.533512i | 0.0134432 | − | 0.0232844i | ||||
\(526\) | −2.45437 | + | 13.9194i | −0.107016 | + | 0.606917i | ||||
\(527\) | 1.79246 | − | 1.50405i | 0.0780806 | − | 0.0655174i | ||||
\(528\) | −3.92127 | − | 3.29033i | −0.170651 | − | 0.143193i | ||||
\(529\) | 1.42334 | + | 8.07217i | 0.0618844 | + | 0.350964i | ||||
\(530\) | 13.3023 | + | 4.84162i | 0.577813 | + | 0.210307i | ||||
\(531\) | 4.86283 | 0.211029 | ||||||||
\(532\) | 1.57864 | + | 2.17225i | 0.0684425 | + | 0.0941789i | ||||
\(533\) | 5.29301 | 0.229266 | ||||||||
\(534\) | 5.94315 | + | 2.16313i | 0.257185 | + | 0.0936078i | ||||
\(535\) | −1.90767 | − | 10.8189i | −0.0824758 | − | 0.467743i | ||||
\(536\) | −8.16063 | − | 6.84758i | −0.352486 | − | 0.295770i | ||||
\(537\) | −4.92749 | + | 4.13466i | −0.212637 | + | 0.178424i | ||||
\(538\) | 2.11201 | − | 11.9778i | 0.0910550 | − | 0.516399i | ||||
\(539\) | 16.9446 | − | 29.3490i | 0.729858 | − | 1.26415i | ||||
\(540\) | 0.500000 | + | 0.866025i | 0.0215166 | + | 0.0372678i | ||||
\(541\) | 24.3171 | − | 8.85071i | 1.04547 | − | 0.380522i | 0.238521 | − | 0.971137i | \(-0.423337\pi\) |
0.806953 | + | 0.590616i | \(0.201115\pi\) | |||||||
\(542\) | −15.0442 | + | 5.47565i | −0.646204 | + | 0.235199i | ||||
\(543\) | −9.85421 | − | 17.0680i | −0.422885 | − | 0.732458i | ||||
\(544\) | 0.401497 | − | 0.695413i | 0.0172140 | − | 0.0298156i | ||||
\(545\) | 2.11666 | − | 12.0042i | 0.0906679 | − | 0.514203i | ||||
\(546\) | 0.605154 | − | 0.507785i | 0.0258982 | − | 0.0217312i | ||||
\(547\) | 29.1739 | + | 24.4798i | 1.24739 | + | 1.04668i | 0.996909 | + | 0.0785594i | \(0.0250320\pi\) |
0.250477 | + | 0.968122i | \(0.419412\pi\) | |||||||
\(548\) | 3.91335 | + | 22.1937i | 0.167170 | + | 0.948067i | ||||
\(549\) | 8.08601 | + | 2.94307i | 0.345102 | + | 0.125607i | ||||
\(550\) | 5.11885 | 0.218269 | ||||||||
\(551\) | −19.0227 | − | 26.1758i | −0.810394 | − | 1.11513i | ||||
\(552\) | 5.58540 | 0.237730 | ||||||||
\(553\) | 0.166625 | + | 0.0606467i | 0.00708563 | + | 0.00257896i | ||||
\(554\) | 2.19791 | + | 12.4650i | 0.0933803 | + | 0.529586i | ||||
\(555\) | 6.83763 | + | 5.73745i | 0.290241 | + | 0.243541i | ||||
\(556\) | 12.6838 | − | 10.6430i | 0.537912 | − | 0.451362i | ||||
\(557\) | 5.48641 | − | 31.1150i | 0.232467 | − | 1.31838i | −0.615417 | − | 0.788201i | \(-0.711013\pi\) |
0.847884 | − | 0.530182i | \(-0.177876\pi\) | |||||||
\(558\) | 1.45698 | − | 2.52356i | 0.0616788 | − | 0.106831i | ||||
\(559\) | −6.14166 | − | 10.6377i | −0.259764 | − | 0.449925i | ||||
\(560\) | −0.578894 | + | 0.210700i | −0.0244627 | + | 0.00890371i | ||||
\(561\) | −3.86252 | + | 1.40584i | −0.163076 | + | 0.0593546i | ||||
\(562\) | −4.39592 | − | 7.61396i | −0.185431 | − | 0.321175i | ||||
\(563\) | 9.63382 | − | 16.6863i | 0.406017 | − | 0.703242i | −0.588422 | − | 0.808554i | \(-0.700251\pi\) |
0.994439 | + | 0.105312i | \(0.0335841\pi\) | |||||||
\(564\) | 0.370935 | − | 2.10368i | 0.0156192 | − | 0.0885808i | ||||
\(565\) | −4.60349 | + | 3.86279i | −0.193670 | + | 0.162509i | ||||
\(566\) | −10.3317 | − | 8.66936i | −0.434275 | − | 0.364400i | ||||
\(567\) | 0.106975 | + | 0.606687i | 0.00449254 | + | 0.0254785i | ||||
\(568\) | −7.47192 | − | 2.71956i | −0.313515 | − | 0.114110i | ||||
\(569\) | 29.7508 | 1.24722 | 0.623610 | − | 0.781736i | \(-0.285666\pi\) | ||||
0.623610 | + | 0.781736i | \(0.285666\pi\) | |||||||
\(570\) | 3.02756 | − | 3.13590i | 0.126811 | − | 0.131348i | ||||
\(571\) | 1.42905 | 0.0598041 | 0.0299020 | − | 0.999553i | \(-0.490480\pi\) | ||||
0.0299020 | + | 0.999553i | \(0.490480\pi\) | |||||||
\(572\) | 6.16818 | + | 2.24503i | 0.257905 | + | 0.0938696i | ||||
\(573\) | 2.45349 | + | 13.9144i | 0.102496 | + | 0.581284i | ||||
\(574\) | −1.94792 | − | 1.63450i | −0.0813046 | − | 0.0682227i | ||||
\(575\) | −4.27867 | + | 3.59023i | −0.178433 | + | 0.149723i | ||||
\(576\) | 0.173648 | − | 0.984808i | 0.00723534 | − | 0.0410337i | ||||
\(577\) | −11.8770 | + | 20.5716i | −0.494448 | + | 0.856409i | −0.999980 | − | 0.00639919i | \(-0.997963\pi\) |
0.505532 | + | 0.862808i | \(0.331296\pi\) | |||||||
\(578\) | 8.17760 | + | 14.1640i | 0.340143 | + | 0.589146i | ||||
\(579\) | 0.837007 | − | 0.304646i | 0.0347848 | − | 0.0126606i | ||||
\(580\) | 6.97573 | − | 2.53896i | 0.289651 | − | 0.105424i | ||||
\(581\) | −0.806781 | − | 1.39739i | −0.0334709 | − | 0.0579733i | ||||
\(582\) | −9.10551 | + | 15.7712i | −0.377436 | + | 0.653738i | ||||
\(583\) | −12.5829 | + | 71.3614i | −0.521132 | + | 2.95549i | ||||
\(584\) | 7.62381 | − | 6.39714i | 0.315476 | − | 0.264715i | ||||
\(585\) | −0.982320 | − | 0.824264i | −0.0406139 | − | 0.0340791i | ||||
\(586\) | 1.01065 | + | 5.73171i | 0.0417498 | + | 0.236775i | ||||
\(587\) | 21.1603 | + | 7.70172i | 0.873379 | + | 0.317884i | 0.739535 | − | 0.673119i | \(-0.235046\pi\) |
0.133844 | + | 0.991002i | \(0.457268\pi\) | |||||||
\(588\) | 6.62049 | 0.273024 | ||||||||
\(589\) | −12.3247 | − | 3.07130i | −0.507831 | − | 0.126551i | ||||
\(590\) | 4.86283 | 0.200200 | ||||||||
\(591\) | −1.40115 | − | 0.509978i | −0.0576357 | − | 0.0209777i | ||||
\(592\) | −1.54997 | − | 8.79029i | −0.0637032 | − | 0.361279i | ||||
\(593\) | −36.8134 | − | 30.8901i | −1.51175 | − | 1.26851i | −0.860271 | − | 0.509837i | \(-0.829706\pi\) |
−0.651476 | − | 0.758670i | \(-0.725850\pi\) | |||||||
\(594\) | −3.92127 | + | 3.29033i | −0.160892 | + | 0.135004i | ||||
\(595\) | −0.0859005 | + | 0.487166i | −0.00352158 | + | 0.0199718i | ||||
\(596\) | −7.96631 | + | 13.7981i | −0.326313 | + | 0.565190i | ||||
\(597\) | 3.29574 | + | 5.70839i | 0.134886 | + | 0.233629i | ||||
\(598\) | −6.73037 | + | 2.44965i | −0.275225 | + | 0.100174i | ||||
\(599\) | −33.2480 | + | 12.1013i | −1.35848 | + | 0.494446i | −0.915584 | − | 0.402128i | \(-0.868271\pi\) |
−0.442895 | + | 0.896574i | \(0.646049\pi\) | |||||||
\(600\) | 0.500000 | + | 0.866025i | 0.0204124 | + | 0.0353553i | ||||
\(601\) | 6.91666 | − | 11.9800i | 0.282136 | − | 0.488674i | −0.689774 | − | 0.724024i | \(-0.742290\pi\) |
0.971911 | + | 0.235350i | \(0.0756236\pi\) | |||||||
\(602\) | −1.02471 | + | 5.81141i | −0.0417640 | + | 0.236855i | ||||
\(603\) | −8.16063 | + | 6.84758i | −0.332327 | + | 0.278855i | ||||
\(604\) | 5.85543 | + | 4.91329i | 0.238254 | + | 0.199919i | ||||
\(605\) | 2.63991 | + | 14.9717i | 0.107328 | + | 0.608686i | ||||
\(606\) | −14.3317 | − | 5.21631i | −0.582185 | − | 0.211898i | ||||
\(607\) | −39.3475 | −1.59707 | −0.798533 | − | 0.601950i | \(-0.794390\pi\) | ||||
−0.798533 | + | 0.601950i | \(0.794390\pi\) | |||||||
\(608\) | −4.33496 | + | 0.456159i | −0.175806 | + | 0.0184997i | ||||
\(609\) | 4.57317 | 0.185314 | ||||||||
\(610\) | 8.08601 | + | 2.94307i | 0.327393 | + | 0.119161i | ||||
\(611\) | 0.475660 | + | 2.69760i | 0.0192431 | + | 0.109133i | ||||
\(612\) | −0.615128 | − | 0.516154i | −0.0248651 | − | 0.0208643i | ||||
\(613\) | 10.9754 | − | 9.20948i | 0.443293 | − | 0.371967i | −0.393647 | − | 0.919262i | \(-0.628787\pi\) |
0.836940 | + | 0.547294i | \(0.184342\pi\) | |||||||
\(614\) | 0.487721 | − | 2.76601i | 0.0196828 | − | 0.111627i | ||||
\(615\) | −2.06383 | + | 3.57466i | −0.0832216 | + | 0.144144i | ||||
\(616\) | −1.57673 | − | 2.73097i | −0.0635281 | − | 0.110034i | ||||
\(617\) | 11.8843 | − | 4.32554i | 0.478445 | − | 0.174140i | −0.0915290 | − | 0.995802i | \(-0.529175\pi\) |
0.569974 | + | 0.821663i | \(0.306953\pi\) | |||||||
\(618\) | −0.931675 | + | 0.339102i | −0.0374775 | + | 0.0136407i | ||||
\(619\) | −18.8900 | − | 32.7185i | −0.759254 | − | 1.31507i | −0.943232 | − | 0.332135i | \(-0.892231\pi\) |
0.183978 | − | 0.982930i | \(-0.441102\pi\) | |||||||
\(620\) | 1.45698 | − | 2.52356i | 0.0585136 | − | 0.101349i | ||||
\(621\) | 0.969895 | − | 5.50055i | 0.0389205 | − | 0.220729i | ||||
\(622\) | 7.21317 | − | 6.05257i | 0.289222 | − | 0.242686i | ||||
\(623\) | 2.98468 | + | 2.50445i | 0.119579 | + | 0.100339i | ||||
\(624\) | 0.222674 | + | 1.26285i | 0.00891408 | + | 0.0505543i | ||||
\(625\) | −0.939693 | − | 0.342020i | −0.0375877 | − | 0.0136808i | ||||
\(626\) | −12.8526 | −0.513694 | ||||||||
\(627\) | 18.4995 | + | 12.4748i | 0.738798 | + | 0.498194i | ||||
\(628\) | 9.47469 | 0.378081 | ||||||||
\(629\) | −6.73518 | − | 2.45141i | −0.268549 | − | 0.0977440i | ||||
\(630\) | 0.106975 | + | 0.606687i | 0.00426200 | + | 0.0241710i | ||||
\(631\) | −24.7160 | − | 20.7392i | −0.983928 | − | 0.825613i | 0.000749607 | − | 1.00000i | \(-0.499761\pi\) |
−0.984677 | + | 0.174386i | \(0.944206\pi\) | |||||||
\(632\) | −0.220493 | + | 0.185016i | −0.00877076 | + | 0.00735954i | ||||
\(633\) | −1.83415 | + | 10.4020i | −0.0729008 | + | 0.413441i | ||||
\(634\) | 6.29962 | − | 10.9113i | 0.250190 | − | 0.433342i | ||||
\(635\) | −2.15779 | − | 3.73741i | −0.0856294 | − | 0.148314i | ||||
\(636\) | −13.3023 | + | 4.84162i | −0.527469 | + | 0.191983i | ||||
\(637\) | −7.97764 | + | 2.90362i | −0.316086 | + | 0.115046i | ||||
\(638\) | 18.9997 | + | 32.9084i | 0.752204 | + | 1.30286i | ||||
\(639\) | −3.97573 | + | 6.88616i | −0.157277 | + | 0.272412i | ||||
\(640\) | 0.173648 | − | 0.984808i | 0.00686405 | − | 0.0389279i | ||||
\(641\) | 6.39746 | − | 5.36810i | 0.252684 | − | 0.212027i | −0.507643 | − | 0.861568i | \(-0.669483\pi\) |
0.760327 | + | 0.649540i | \(0.225039\pi\) | |||||||
\(642\) | 8.41564 | + | 7.06156i | 0.332139 | + | 0.278697i | ||||
\(643\) | −5.11132 | − | 28.9877i | −0.201571 | − | 1.14316i | −0.902746 | − | 0.430175i | \(-0.858452\pi\) |
0.701175 | − | 0.712989i | \(-0.252659\pi\) | |||||||
\(644\) | 3.23336 | + | 1.17685i | 0.127412 | + | 0.0463742i | ||||
\(645\) | 9.57892 | 0.377170 | ||||||||
\(646\) | −1.42325 | + | 3.19773i | −0.0559972 | + | 0.125813i | ||||
\(647\) | −49.5568 | −1.94828 | −0.974140 | − | 0.225944i | \(-0.927453\pi\) | ||||
−0.974140 | + | 0.225944i | \(0.927453\pi\) | |||||||
\(648\) | −0.939693 | − | 0.342020i | −0.0369146 | − | 0.0134358i | ||||
\(649\) | 4.32247 | + | 24.5140i | 0.169672 | + | 0.962257i | ||||
\(650\) | −0.982320 | − | 0.824264i | −0.0385297 | − | 0.0323303i | ||||
\(651\) | 1.37515 | − | 1.15389i | 0.0538964 | − | 0.0452244i | ||||
\(652\) | 0.661855 | − | 3.75357i | 0.0259202 | − | 0.147001i | ||||
\(653\) | 20.2128 | − | 35.0096i | 0.790988 | − | 1.37003i | −0.134368 | − | 0.990931i | \(-0.542901\pi\) |
0.925356 | − | 0.379099i | \(-0.123766\pi\) | |||||||
\(654\) | 6.09469 | + | 10.5563i | 0.238321 | + | 0.412784i | ||||
\(655\) | 14.5034 | − | 5.27879i | 0.566693 | − | 0.206259i | ||||
\(656\) | 3.87873 | − | 1.41174i | 0.151439 | − | 0.0551193i | ||||
\(657\) | −4.97609 | − | 8.61884i | −0.194136 | − | 0.336253i | ||||
\(658\) | 0.657977 | − | 1.13965i | 0.0256506 | − | 0.0444282i | ||||
\(659\) | −6.09139 | + | 34.5460i | −0.237287 | + | 1.34572i | 0.600457 | + | 0.799657i | \(0.294986\pi\) |
−0.837744 | + | 0.546064i | \(0.816126\pi\) | |||||||
\(660\) | −3.92127 | + | 3.29033i | −0.152635 | + | 0.128076i | ||||
\(661\) | −17.5262 | − | 14.7062i | −0.681691 | − | 0.572006i | 0.234809 | − | 0.972042i | \(-0.424554\pi\) |
−0.916500 | + | 0.400035i | \(0.868998\pi\) | |||||||
\(662\) | −2.81301 | − | 15.9534i | −0.109331 | − | 0.620046i | ||||
\(663\) | 0.967601 | + | 0.352178i | 0.0375785 | + | 0.0136775i | ||||
\(664\) | 2.61922 | 0.101646 | ||||||||
\(665\) | 2.41337 | − | 1.17745i | 0.0935866 | − | 0.0456594i | ||||
\(666\) | −8.92589 | −0.345871 | ||||||||
\(667\) | −38.9622 | − | 14.1811i | −1.50862 | − | 0.549094i | ||||
\(668\) | 2.02829 | + | 11.5030i | 0.0784771 | + | 0.445066i | ||||
\(669\) | 4.65533 | + | 3.90629i | 0.179985 | + | 0.151026i | ||||
\(670\) | −8.16063 | + | 6.84758i | −0.315273 | + | 0.264545i | ||||
\(671\) | −7.64876 | + | 43.3783i | −0.295277 | + | 1.67460i | ||||
\(672\) | 0.308023 | − | 0.533512i | 0.0118823 | − | 0.0205807i | ||||
\(673\) | 5.20125 | + | 9.00884i | 0.200494 | + | 0.347265i | 0.948688 | − | 0.316215i | \(-0.102412\pi\) |
−0.748194 | + | 0.663480i | \(0.769079\pi\) | |||||||
\(674\) | −17.5284 | + | 6.37982i | −0.675169 | + | 0.245741i | ||||
\(675\) | 0.939693 | − | 0.342020i | 0.0361688 | − | 0.0131644i | ||||
\(676\) | 5.67782 | + | 9.83427i | 0.218378 | + | 0.378241i | ||||
\(677\) | 20.2409 | − | 35.0583i | 0.777921 | − | 1.34740i | −0.155216 | − | 0.987880i | \(-0.549607\pi\) |
0.933138 | − | 0.359519i | \(-0.117059\pi\) | |||||||
\(678\) | 1.04353 | − | 5.91813i | 0.0400764 | − | 0.227285i | ||||
\(679\) | −8.59413 | + | 7.21133i | −0.329812 | + | 0.276745i | ||||
\(680\) | −0.615128 | − | 0.516154i | −0.0235891 | − | 0.0197936i | ||||
\(681\) | 0.620298 | + | 3.51788i | 0.0237699 | + | 0.134806i | ||||
\(682\) | 14.0166 | + | 5.10161i | 0.536722 | + | 0.195351i | ||||
\(683\) | 20.3480 | 0.778595 | 0.389297 | − | 0.921112i | \(-0.372718\pi\) | ||||
0.389297 | + | 0.921112i | \(0.372718\pi\) | |||||||
\(684\) | −0.303530 | + | 4.34832i | −0.0116058 | + | 0.166262i | ||||
\(685\) | 22.5361 | 0.861059 | ||||||||
\(686\) | 7.88482 | + | 2.86984i | 0.301044 | + | 0.109571i | ||||
\(687\) | −0.754649 | − | 4.27983i | −0.0287917 | − | 0.163286i | ||||
\(688\) | −7.33788 | − | 6.15721i | −0.279754 | − | 0.234742i | ||||
\(689\) | 13.9057 | − | 11.6682i | 0.529764 | − | 0.444525i | ||||
\(690\) | 0.969895 | − | 5.50055i | 0.0369233 | − | 0.209402i | ||||
\(691\) | −17.6293 | + | 30.5348i | −0.670649 | + | 1.16160i | 0.307071 | + | 0.951687i | \(0.400651\pi\) |
−0.977720 | + | 0.209912i | \(0.932682\pi\) | |||||||
\(692\) | −2.84675 | − | 4.93071i | −0.108217 | − | 0.187438i | ||||
\(693\) | −2.96327 | + | 1.07854i | −0.112565 | + | 0.0409705i | ||||
\(694\) | 6.25357 | − | 2.27611i | 0.237382 | − | 0.0864001i | ||||
\(695\) | −8.27875 | − | 14.3392i | −0.314031 | − | 0.543917i | ||||
\(696\) | −3.71171 | + | 6.42886i | −0.140692 | + | 0.243685i | ||||
\(697\) | 0.575554 | − | 3.26413i | 0.0218007 | − | 0.123638i | ||||
\(698\) | 7.34214 | − | 6.16079i | 0.277904 | − | 0.233189i | ||||
\(699\) | −7.43854 | − | 6.24168i | −0.281352 | − | 0.236082i | ||||
\(700\) | 0.106975 | + | 0.606687i | 0.00404329 | + | 0.0229306i | ||||
\(701\) | 32.1698 | + | 11.7088i | 1.21504 | + | 0.442237i | 0.868448 | − | 0.495781i | \(-0.165118\pi\) |
0.346588 | + | 0.938018i | \(0.387340\pi\) | |||||||
\(702\) | 1.28233 | 0.0483983 | ||||||||
\(703\) | 10.7288 | + | 37.3986i | 0.404645 | + | 1.41051i | ||||
\(704\) | 5.11885 | 0.192924 | ||||||||
\(705\) | −2.00731 | − | 0.730599i | −0.0755995 | − | 0.0275160i | ||||
\(706\) | 4.35219 | + | 24.6825i | 0.163797 | + | 0.928938i | ||||
\(707\) | −7.19746 | − | 6.03938i | −0.270688 | − | 0.227134i | ||||
\(708\) | −3.72515 | + | 3.12577i | −0.140000 | + | 0.117474i | ||||
\(709\) | 0.0284560 | − | 0.161382i | 0.00106869 | − | 0.00606082i | −0.984269 | − | 0.176678i | \(-0.943465\pi\) |
0.985337 | + | 0.170617i | \(0.0545761\pi\) | |||||||
\(710\) | −3.97573 | + | 6.88616i | −0.149206 | + | 0.258433i | ||||
\(711\) | 0.143917 | + | 0.249271i | 0.00539731 | + | 0.00934841i | ||||
\(712\) | −5.94315 | + | 2.16313i | −0.222729 | + | 0.0810667i | ||||
\(713\) | −15.2941 | + | 5.56658i | −0.572767 | + | 0.208470i | ||||
\(714\) | −0.247341 | − | 0.428406i | −0.00925649 | − | 0.0160327i | ||||
\(715\) | 3.28202 | − | 5.68463i | 0.122741 | − | 0.212593i | ||||
\(716\) | 1.11697 | − | 6.33466i | 0.0417432 | − | 0.236737i | ||||
\(717\) | −7.57359 | + | 6.35500i | −0.282841 | + | 0.237332i | ||||
\(718\) | −22.4966 | − | 18.8768i | −0.839564 | − | 0.704478i | ||||
\(719\) | −7.08262 | − | 40.1675i | −0.264137 | − | 1.49800i | −0.771481 | − | 0.636253i | \(-0.780484\pi\) |
0.507344 | − | 0.861744i | \(-0.330628\pi\) | |||||||
\(720\) | −0.939693 | − | 0.342020i | −0.0350203 | − | 0.0127463i | ||||
\(721\) | −0.610790 | −0.0227470 | ||||||||
\(722\) | 18.5838 | − | 3.95487i | 0.691619 | − | 0.147185i | ||||
\(723\) | −4.01916 | −0.149474 | ||||||||
\(724\) | 18.5199 | + | 6.74068i | 0.688285 | + | 0.250515i | ||||
\(725\) | −1.28906 | − | 7.31064i | −0.0478746 | − | 0.271510i | ||||
\(726\) | −11.6459 | − | 9.77207i | −0.432220 | − | 0.362676i | ||||
\(727\) | −3.27005 | + | 2.74390i | −0.121280 | + | 0.101766i | −0.701410 | − | 0.712758i | \(-0.747446\pi\) |
0.580131 | + | 0.814523i | \(0.303001\pi\) | |||||||
\(728\) | −0.137177 | + | 0.777972i | −0.00508413 | + | 0.0288335i | ||||
\(729\) | −0.500000 | + | 0.866025i | −0.0185185 | + | 0.0320750i | ||||
\(730\) | −4.97609 | − | 8.61884i | −0.184173 | − | 0.318998i | ||||
\(731\) | −7.22794 | + | 2.63075i | −0.267335 | + | 0.0973019i | ||||
\(732\) | −8.08601 | + | 2.94307i | −0.298867 | + | 0.108779i | ||||
\(733\) | −13.8354 | − | 23.9636i | −0.511021 | − | 0.885115i | −0.999918 | − | 0.0127735i | \(-0.995934\pi\) |
0.488897 | − | 0.872342i | \(-0.337399\pi\) | |||||||
\(734\) | 12.2649 | − | 21.2434i | 0.452705 | − | 0.784108i | ||||
\(735\) | 1.14964 | − | 6.51991i | 0.0424049 | − | 0.240490i | ||||
\(736\) | −4.27867 | + | 3.59023i | −0.157714 | + | 0.132337i | ||||
\(737\) | −41.7731 | − | 35.0518i | −1.53873 | − | 1.29115i | ||||
\(738\) | −0.716761 | − | 4.06495i | −0.0263843 | − | 0.149633i | ||||
\(739\) | −1.34389 | − | 0.489135i | −0.0494357 | − | 0.0179931i | 0.317184 | − | 0.948364i | \(-0.397263\pi\) |
−0.366620 | + | 0.930371i | \(0.619485\pi\) | |||||||
\(740\) | −8.92589 | −0.328122 | ||||||||
\(741\) | −1.54134 | − | 5.37282i | −0.0566226 | − | 0.197375i | ||||
\(742\) | −8.72073 | −0.320148 | ||||||||
\(743\) | −1.35480 | − | 0.493106i | −0.0497027 | − | 0.0180903i | 0.317049 | − | 0.948409i | \(-0.397308\pi\) |
−0.366752 | + | 0.930319i | \(0.619530\pi\) | |||||||
\(744\) | 0.506003 | + | 2.86969i | 0.0185510 | + | 0.105208i | ||||
\(745\) | 12.2051 | + | 10.2413i | 0.447160 | + | 0.375212i | ||||
\(746\) | −17.1274 | + | 14.3716i | −0.627078 | + | 0.526181i | ||||
\(747\) | 0.454823 | − | 2.57943i | 0.0166411 | − | 0.0943764i | ||||
\(748\) | 2.05520 | − | 3.55971i | 0.0751456 | − | 0.130156i | ||||
\(749\) | 3.38389 | + | 5.86107i | 0.123645 | + | 0.214159i | ||||
\(750\) | 0.939693 | − | 0.342020i | 0.0343127 | − | 0.0124888i | ||||
\(751\) | −32.6764 | + | 11.8932i | −1.19238 | + | 0.433991i | −0.860558 | − | 0.509352i | \(-0.829885\pi\) |
−0.331821 | + | 0.943342i | \(0.607663\pi\) | |||||||
\(752\) | 1.06806 | + | 1.84994i | 0.0389483 | + | 0.0674605i | ||||
\(753\) | −5.18810 | + | 8.98605i | −0.189065 | + | 0.327470i | ||||
\(754\) | 1.65300 | − | 9.37463i | 0.0601987 | − | 0.341404i | ||||
\(755\) | 5.85543 | − | 4.91329i | 0.213101 | − | 0.178813i | ||||
\(756\) | −0.471919 | − | 0.395987i | −0.0171635 | − | 0.0144019i | ||||
\(757\) | 5.41724 | + | 30.7227i | 0.196893 | + | 1.11664i | 0.909697 | + | 0.415273i | \(0.136314\pi\) |
−0.712804 | + | 0.701363i | \(0.752575\pi\) | |||||||
\(758\) | 16.9897 | + | 6.18374i | 0.617093 | + | 0.224603i | ||||
\(759\) | 28.5908 | 1.03778 | ||||||||
\(760\) | −0.303530 | + | 4.34832i | −0.0110102 | + | 0.157730i | ||||
\(761\) | −32.4832 | −1.17751 | −0.588757 | − | 0.808310i | \(-0.700382\pi\) | ||||
−0.588757 | + | 0.808310i | \(0.700382\pi\) | |||||||
\(762\) | 4.05532 | + | 1.47602i | 0.146909 | + | 0.0534704i | ||||
\(763\) | 1.30396 | + | 7.39514i | 0.0472066 | + | 0.267722i | ||||
\(764\) | −10.8235 | − | 9.08200i | −0.391581 | − | 0.328575i | ||||
\(765\) | −0.615128 | + | 0.516154i | −0.0222400 | + | 0.0186616i | ||||
\(766\) | −1.66303 | + | 9.43149i | −0.0600876 | + | 0.340773i | ||||
\(767\) | 3.11787 | − | 5.40031i | 0.112580 | − | 0.194994i | ||||
\(768\) | 0.500000 | + | 0.866025i | 0.0180422 | + | 0.0312500i | ||||
\(769\) | −7.08211 | + | 2.57768i | −0.255387 | + | 0.0929534i | −0.466541 | − | 0.884499i | \(-0.654500\pi\) |
0.211154 | + | 0.977453i | \(0.432278\pi\) | |||||||
\(770\) | −2.96327 | + | 1.07854i | −0.106789 | + | 0.0388680i | ||||
\(771\) | 7.93611 | + | 13.7457i | 0.285812 | + | 0.495041i | ||||
\(772\) | −0.445362 | + | 0.771390i | −0.0160289 | + | 0.0277629i | ||||
\(773\) | −0.0108738 | + | 0.0616682i | −0.000391102 | + | 0.00221805i | −0.985003 | − | 0.172539i | \(-0.944803\pi\) |
0.984612 | + | 0.174757i | \(0.0559140\pi\) | |||||||
\(774\) | −7.33788 | + | 6.15721i | −0.263755 | + | 0.221316i | ||||
\(775\) | −2.23222 | − | 1.87305i | −0.0801837 | − | 0.0672821i | ||||
\(776\) | −3.16231 | − | 17.9344i | −0.113520 | − | 0.643806i | ||||
\(777\) | −5.16715 | − | 1.88069i | −0.185370 | − | 0.0674693i | ||||
\(778\) | 24.0836 | 0.863439 | ||||||||
\(779\) | −16.1702 | + | 7.88917i | −0.579357 | + | 0.282659i | ||||
\(780\) | 1.28233 | 0.0459147 | ||||||||
\(781\) | −38.2477 | − | 13.9210i | −1.36861 | − | 0.498133i | ||||
\(782\) | 0.778819 | + | 4.41690i | 0.0278505 | + | 0.157948i | ||||
\(783\) | 5.68666 | + | 4.77168i | 0.203225 | + | 0.170526i | ||||
\(784\) | −5.07159 | + | 4.25557i | −0.181128 | + | 0.151985i | ||||
\(785\) | 1.64526 | − | 9.33075i | 0.0587220 | − | 0.333029i | ||||
\(786\) | −7.71708 | + | 13.3664i | −0.275259 | + | 0.476763i | ||||
\(787\) | −11.6631 | − | 20.2012i | −0.415746 | − | 0.720094i | 0.579760 | − | 0.814787i | \(-0.303146\pi\) |
−0.995506 | + | 0.0946934i | \(0.969813\pi\) | |||||||
\(788\) | 1.40115 | − | 0.509978i | 0.0499140 | − | 0.0181672i | ||||
\(789\) | −13.2818 | + | 4.83417i | −0.472844 | + | 0.172101i | ||||
\(790\) | 0.143917 | + | 0.249271i | 0.00512033 | + | 0.00886868i | ||||
\(791\) | 1.85104 | − | 3.20610i | 0.0658156 | − | 0.113996i | ||||
\(792\) | 0.888879 | − | 5.04109i | 0.0315850 | − | 0.179127i | ||||
\(793\) | 8.45281 | − | 7.09275i | 0.300168 | − | 0.251871i | ||||
\(794\) | 11.9042 | + | 9.98880i | 0.422464 | + | 0.354489i | ||||
\(795\) | 2.45816 | + | 13.9409i | 0.0871818 | + | 0.494433i | ||||
\(796\) | −6.19396 | − | 2.25442i | −0.219539 | − | 0.0799057i | ||||
\(797\) | 18.6256 | 0.659752 | 0.329876 | − | 0.944024i | \(-0.392993\pi\) | ||||
0.329876 | + | 0.944024i | \(0.392993\pi\) | |||||||
\(798\) | −1.09190 | + | 2.45326i | −0.0386530 | + | 0.0868446i | ||||
\(799\) | 1.71530 | 0.0606829 | ||||||||
\(800\) | −0.939693 | − | 0.342020i | −0.0332232 | − | 0.0120922i | ||||
\(801\) | 1.09825 | + | 6.22849i | 0.0388048 | + | 0.220073i | ||||
\(802\) | 21.9290 | + | 18.4006i | 0.774339 | + | 0.649747i | ||||
\(803\) | 39.0252 | − | 32.7460i | 1.37717 | − | 1.15558i | ||||
\(804\) | 1.84986 | − | 10.4911i | 0.0652397 | − | 0.369993i | ||||
\(805\) | 1.72043 | − | 2.97988i | 0.0606373 | − | 0.105027i | ||||
\(806\) | −1.86832 | − | 3.23603i | −0.0658088 | − | 0.113984i | ||||
\(807\) | 11.4291 | − | 4.15984i | 0.402322 | − | 0.146433i | ||||
\(808\) | 14.3317 | − | 5.21631i | 0.504187 | − | 0.183509i | ||||
\(809\) | 16.8840 | + | 29.2440i | 0.593610 | + | 1.02816i | 0.993741 | + | 0.111705i | \(0.0356312\pi\) |
−0.400131 | + | 0.916458i | \(0.631035\pi\) | |||||||
\(810\) | −0.500000 | + | 0.866025i | −0.0175682 | + | 0.0304290i | ||||
\(811\) | −5.15432 | + | 29.2316i | −0.180992 | + | 1.02646i | 0.750005 | + | 0.661433i | \(0.230051\pi\) |
−0.930997 | + | 0.365027i | \(0.881060\pi\) | |||||||
\(812\) | −3.50325 | + | 2.93958i | −0.122940 | + | 0.103159i | ||||
\(813\) | −12.2642 | − | 10.2909i | −0.430123 | − | 0.360916i | ||||
\(814\) | −7.93404 | − | 44.9962i | −0.278088 | − | 1.57712i | ||||
\(815\) | −3.58161 | − | 1.30360i | −0.125458 | − | 0.0456631i | ||||
\(816\) | 0.802993 | 0.0281104 | ||||||||
\(817\) | 34.6181 | + | 23.3441i | 1.21113 | + | 0.816705i | ||||
\(818\) | −38.1015 | −1.33219 | ||||||||
\(819\) | 0.742332 | + | 0.270187i | 0.0259392 | + | 0.00944109i | ||||
\(820\) | −0.716761 | − | 4.06495i | −0.0250304 | − | 0.141954i | ||||
\(821\) | −24.6024 | − | 20.6439i | −0.858631 | − | 0.720477i | 0.103041 | − | 0.994677i | \(-0.467143\pi\) |
−0.961673 | + | 0.274200i | \(0.911587\pi\) | |||||||
\(822\) | −17.2636 | + | 14.4859i | −0.602138 | + | 0.505254i | ||||
\(823\) | −2.94586 | + | 16.7068i | −0.102686 | + | 0.582363i | 0.889433 | + | 0.457066i | \(0.151100\pi\) |
−0.992119 | + | 0.125297i | \(0.960012\pi\) | |||||||
\(824\) | 0.495734 | − | 0.858636i | 0.0172697 | − | 0.0299120i | ||||
\(825\) | 2.55943 | + | 4.43306i | 0.0891078 | + | 0.154339i | ||||
\(826\) | −2.81507 | + | 1.02460i | −0.0979487 | + | 0.0356504i | ||||
\(827\) | 9.78454 | − | 3.56128i | 0.340242 | − | 0.123838i | −0.166248 | − | 0.986084i | \(-0.553165\pi\) |
0.506490 | + | 0.862246i | \(0.330943\pi\) | |||||||
\(828\) | 2.79270 | + | 4.83710i | 0.0970530 | + | 0.168101i | ||||
\(829\) | 13.3992 | − | 23.2081i | 0.465373 | − | 0.806049i | −0.533846 | − | 0.845582i | \(-0.679254\pi\) |
0.999218 | + | 0.0395330i | \(0.0125870\pi\) | |||||||
\(830\) | 0.454823 | − | 2.57943i | 0.0157871 | − | 0.0895333i | ||||
\(831\) | −9.69603 | + | 8.13594i | −0.336352 | + | 0.282232i | ||||
\(832\) | −0.982320 | − | 0.824264i | −0.0340558 | − | 0.0285762i | ||||
\(833\) | 0.923149 | + | 5.23544i | 0.0319852 | + | 0.181397i | ||||
\(834\) | 15.5590 | + | 5.66300i | 0.538763 | + | 0.196094i | ||||
\(835\) | 11.6805 | 0.404220 | ||||||||
\(836\) | −22.1900 | + | 2.33501i | −0.767459 | + | 0.0807580i | ||||
\(837\) | 2.91395 | 0.100721 | ||||||||
\(838\) | −11.7553 | − | 4.27859i | −0.406082 | − | 0.147802i | ||||
\(839\) | −2.38410 | − | 13.5209i | −0.0823083 | − | 0.466793i | −0.997905 | − | 0.0646957i | \(-0.979392\pi\) |
0.915597 | − | 0.402098i | \(-0.131719\pi\) | |||||||
\(840\) | −0.471919 | − | 0.395987i | −0.0162828 | − | 0.0136629i | ||||
\(841\) | 19.9992 | − | 16.7813i | 0.689627 | − | 0.578666i | ||||
\(842\) | 5.52419 | − | 31.3293i | 0.190376 | − | 1.07968i | ||||
\(843\) | 4.39592 | − | 7.61396i | 0.151404 | − | 0.262239i | ||||
\(844\) | −5.28122 | − | 9.14733i | −0.181787 | − | 0.314864i | ||||
\(845\) | 10.6708 | − | 3.88386i | 0.367087 | − | 0.133609i | ||||
\(846\) | 2.00731 | − | 0.730599i | 0.0690126 | − | 0.0251185i | ||||
\(847\) | −4.68277 | − | 8.11079i | −0.160902 | − | 0.278690i | ||||
\(848\) | 7.07798 | − | 12.2594i | 0.243059 | − | 0.420990i | ||||
\(849\) | 2.34202 | − | 13.2822i | 0.0803778 | − | 0.455845i | ||||
\(850\) | −0.615128 | + | 0.516154i | −0.0210987 | + | 0.0177039i | ||||
\(851\) | 38.1909 | + | 32.0460i | 1.30917 | + | 1.09852i | ||||
\(852\) | −1.38076 | − | 7.83065i | −0.0473039 | − | 0.268274i | ||||
\(853\) | −31.2742 | − | 11.3829i | −1.07081 | − | 0.389743i | −0.254330 | − | 0.967117i | \(-0.581855\pi\) |
−0.816479 | + | 0.577375i | \(0.804077\pi\) | |||||||
\(854\) | −5.30105 | −0.181398 | ||||||||
\(855\) | 4.22955 | + | 1.05400i | 0.144648 | + | 0.0360459i | ||||
\(856\) | −10.9858 | −0.375488 | ||||||||
\(857\) | −35.0211 | − | 12.7466i | −1.19630 | − | 0.435417i | −0.334367 | − | 0.942443i | \(-0.608523\pi\) |
−0.861931 | + | 0.507026i | \(0.830745\pi\) | |||||||
\(858\) | 1.13983 | + | 6.46432i | 0.0389133 | + | 0.220688i | ||||
\(859\) | −23.6058 | − | 19.8076i | −0.805420 | − | 0.675828i | 0.144090 | − | 0.989565i | \(-0.453975\pi\) |
−0.949510 | + | 0.313737i | \(0.898419\pi\) | |||||||
\(860\) | −7.33788 | + | 6.15721i | −0.250220 | + | 0.209959i | ||||
\(861\) | 0.441558 | − | 2.50420i | 0.0150482 | − | 0.0853429i | ||||
\(862\) | 3.86109 | − | 6.68761i | 0.131509 | − | 0.227781i | ||||
\(863\) | 10.0682 | + | 17.4386i | 0.342724 | + | 0.593616i | 0.984938 | − | 0.172910i | \(-0.0553171\pi\) |
−0.642213 | + | 0.766526i | \(0.721984\pi\) | |||||||
\(864\) | 0.939693 | − | 0.342020i | 0.0319690 | − | 0.0116358i | ||||
\(865\) | −5.35014 | + | 1.94729i | −0.181910 | + | 0.0662099i | ||||
\(866\) | −10.1116 | − | 17.5138i | −0.343606 | − | 0.595143i | ||||
\(867\) | −8.17760 | + | 14.1640i | −0.277726 | + | 0.481035i | ||||
\(868\) | −0.311721 | + | 1.76786i | −0.0105805 | + | 0.0600051i | ||||
\(869\) | −1.12867 | + | 0.947070i | −0.0382876 | + | 0.0321271i | ||||
\(870\) | 5.68666 | + | 4.77168i | 0.192796 | + | 0.161775i | ||||
\(871\) | 2.37213 | + | 13.4530i | 0.0803766 | + | 0.455838i | ||||
\(872\) | −11.4543 | − | 4.16901i | −0.387891 | − | 0.141181i | ||||
\(873\) | −18.2110 | −0.616350 | ||||||||
\(874\) | 16.9101 | − | 17.5153i | 0.571994 | − | 0.592462i | ||||
\(875\) | 0.616046 | 0.0208262 | ||||||||
\(876\) | 9.35199 | + | 3.40385i | 0.315974 | + | 0.115005i | ||||
\(877\) | −6.39427 | − | 36.2637i | −0.215919 | − | 1.22454i | −0.879304 | − | 0.476260i | \(-0.841992\pi\) |
0.663385 | − | 0.748278i | \(-0.269119\pi\) | |||||||
\(878\) | 14.1895 | + | 11.9064i | 0.478872 | + | 0.401821i | ||||
\(879\) | −4.45848 | + | 3.74111i | −0.150381 | + | 0.126184i | ||||
\(880\) | 0.888879 | − | 5.04109i | 0.0299641 | − | 0.169935i | ||||
\(881\) | 0.359687 | − | 0.622996i | 0.0121182 | − | 0.0209893i | −0.859903 | − | 0.510458i | \(-0.829476\pi\) |
0.872021 | + | 0.489469i | \(0.162809\pi\) | |||||||
\(882\) | 3.31024 | + | 5.73351i | 0.111462 | + | 0.193057i | ||||
\(883\) | −32.9246 | + | 11.9836i | −1.10800 | + | 0.403280i | −0.830260 | − | 0.557376i | \(-0.811808\pi\) |
−0.277742 | + | 0.960656i | \(0.589586\pi\) | |||||||
\(884\) | −0.967601 | + | 0.352178i | −0.0325440 | + | 0.0118450i | ||||
\(885\) | 2.43142 | + | 4.21134i | 0.0817312 | + | 0.141563i | ||||
\(886\) | 6.63557 | − | 11.4931i | 0.222926 | − | 0.386119i | ||||
\(887\) | −6.20615 | + | 35.1968i | −0.208382 | + | 1.18179i | 0.683646 | + | 0.729813i | \(0.260393\pi\) |
−0.892028 | + | 0.451979i | \(0.850718\pi\) | |||||||
\(888\) | 6.83763 | − | 5.73745i | 0.229456 | − | 0.192536i | ||||
\(889\) | 2.03661 | + | 1.70892i | 0.0683056 | + | 0.0573152i | ||||
\(890\) | 1.09825 | + | 6.22849i | 0.0368134 | + | 0.208779i | ||||
\(891\) | −4.81015 | − | 1.75075i | −0.161146 | − | 0.0586524i | ||||
\(892\) | −6.07710 | −0.203476 | ||||||||
\(893\) | −5.47389 | − | 7.53223i | −0.183177 | − | 0.252056i | ||||
\(894\) | −15.9326 | −0.532867 | ||||||||
\(895\) | −6.04446 | − | 2.20000i | −0.202044 | − | 0.0735380i | ||||
\(896\) | 0.106975 | + | 0.606687i | 0.00357380 | + | 0.0202680i | ||||
\(897\) | −5.48665 | − | 4.60384i | −0.183194 | − | 0.153718i | ||||
\(898\) | 18.7533 | − | 15.7359i | 0.625806 | − | 0.525114i | ||||
\(899\) | 3.75627 | − | 21.3029i | 0.125279 | − | 0.710490i | ||||
\(900\) | −0.500000 | + | 0.866025i | −0.0166667 | + | 0.0288675i | ||||
\(901\) | −5.68357 | − | 9.84423i | −0.189347 | − | 0.327959i | ||||
\(902\) | 19.8547 | − | 7.22650i | 0.661088 | − | 0.240616i | ||||
\(903\) | −5.54518 | + | 2.01828i | −0.184532 | + | 0.0671642i | ||||
\(904\) | 3.00472 | + | 5.20432i | 0.0999353 | + | 0.173093i | ||||
\(905\) | 9.85421 | − | 17.0680i | 0.327565 | − | 0.567359i | ||||
\(906\) | −1.32732 | + | 7.52760i | −0.0440972 | + | 0.250088i | ||||
\(907\) | 13.1570 | − | 11.0400i | 0.436871 | − | 0.366579i | −0.397666 | − | 0.917530i | \(-0.630180\pi\) |
0.834537 | + | 0.550952i | \(0.185735\pi\) | |||||||
\(908\) | −2.73643 | − | 2.29614i | −0.0908116 | − | 0.0762000i | ||||
\(909\) | −2.64839 | − | 15.0198i | −0.0878415 | − | 0.498174i | ||||
\(910\) | 0.742332 | + | 0.270187i | 0.0246081 | + | 0.00895660i | ||||
\(911\) | 39.7860 | 1.31817 | 0.659085 | − | 0.752069i | \(-0.270944\pi\) | ||||
0.659085 | + | 0.752069i | \(0.270944\pi\) | |||||||
\(912\) | −2.56253 | − | 3.52611i | −0.0848538 | − | 0.116761i | ||||
\(913\) | 13.4074 | 0.443721 | ||||||||
\(914\) | −2.06379 | − | 0.751158i | −0.0682641 | − | 0.0248461i | ||||
\(915\) | 1.49423 | + | 8.47422i | 0.0493978 | + | 0.280149i | ||||
\(916\) | 3.32911 | + | 2.79346i | 0.109997 | + | 0.0922985i | ||||
\(917\) | −7.28367 | + | 6.11172i | −0.240528 | + | 0.201827i | ||||
\(918\) | 0.139438 | − | 0.790794i | 0.00460215 | − | 0.0261001i | ||||
\(919\) | −19.8303 | + | 34.3471i | −0.654141 | + | 1.13301i | 0.327968 | + | 0.944689i | \(0.393636\pi\) |
−0.982108 | + | 0.188316i | \(0.939697\pi\) | |||||||
\(920\) | 2.79270 | + | 4.83710i | 0.0920726 | + | 0.159474i | ||||
\(921\) | 2.63929 | − | 0.960624i | 0.0869676 | − | 0.0316536i | ||||
\(922\) | 28.2372 | − | 10.2775i | 0.929943 | − | 0.338472i | ||||
\(923\) | 5.09818 | + | 8.83031i | 0.167809 | + | 0.290653i | ||||
\(924\) | 1.57673 | − | 2.73097i | 0.0518705 | − | 0.0898423i | ||||
\(925\) | −1.54997 | + | 8.79029i | −0.0509625 | + | 0.289023i | ||||
\(926\) | 24.0538 | − | 20.1835i | 0.790457 | − | 0.663272i | ||||
\(927\) | −0.759508 | − | 0.637303i | −0.0249455 | − | 0.0209318i | ||||
\(928\) | −1.28906 | − | 7.31064i | −0.0423155 | − | 0.239983i | ||||
\(929\) | 13.2871 | + | 4.83611i | 0.435935 | + | 0.158668i | 0.550660 | − | 0.834730i | \(-0.314376\pi\) |
−0.114724 | + | 0.993397i | \(0.536598\pi\) | |||||||
\(930\) | 2.91395 | 0.0955523 | ||||||||
\(931\) | 20.0439 | − | 20.7612i | 0.656913 | − | 0.680420i | ||||
\(932\) | 9.71033 | 0.318072 | ||||||||
\(933\) | 8.84827 | + | 3.22051i | 0.289679 | + | 0.105435i | ||||
\(934\) | 5.26182 | + | 29.8413i | 0.172172 | + | 0.976436i | ||||
\(935\) | −3.14875 | − | 2.64212i | −0.102975 | − | 0.0864064i | ||||
\(936\) | −0.982320 | + | 0.824264i | −0.0321081 | + | 0.0269419i | ||||
\(937\) | 5.44402 | − | 30.8746i | 0.177848 | − | 1.00863i | −0.756956 | − | 0.653465i | \(-0.773314\pi\) |
0.934805 | − | 0.355162i | \(-0.115574\pi\) | |||||||
\(938\) | 3.28135 | − | 5.68347i | 0.107140 | − | 0.185572i | ||||
\(939\) | −6.42631 | − | 11.1307i | −0.209715 | − | 0.363236i | ||||
\(940\) | 2.00731 | − | 0.730599i | 0.0654711 | − | 0.0238295i | ||||
\(941\) | 34.8731 | − | 12.6928i | 1.13683 | − | 0.413772i | 0.296063 | − | 0.955168i | \(-0.404326\pi\) |
0.840768 | + | 0.541396i | \(0.182104\pi\) | |||||||
\(942\) | 4.73735 | + | 8.20532i | 0.154351 | + | 0.267344i | ||||
\(943\) | −11.5273 | + | 19.9659i | −0.375381 | + | 0.650179i | ||||
\(944\) | 0.844422 | − | 4.78896i | 0.0274836 | − | 0.155867i | ||||
\(945\) | −0.471919 | + | 0.395987i | −0.0153515 | + | 0.0128815i | ||||
\(946\) | −37.5615 | − | 31.5179i | −1.22123 | − | 1.02473i | ||||
\(947\) | 8.43523 | + | 47.8386i | 0.274108 | + | 1.55454i | 0.741780 | + | 0.670643i | \(0.233982\pi\) |
−0.467672 | + | 0.883902i | \(0.654907\pi\) | |||||||
\(948\) | −0.270475 | − | 0.0984450i | −0.00878463 | − | 0.00319734i | ||||
\(949\) | −12.7619 | −0.414270 | ||||||||
\(950\) | 4.22955 | + | 1.05400i | 0.137225 | + | 0.0341961i | ||||
\(951\) | 12.5992 | 0.408558 | ||||||||
\(952\) | 0.464848 | + | 0.169191i | 0.0150658 | + | 0.00548351i | ||||
\(953\) | −8.92394 | − | 50.6102i | −0.289075 | − | 1.63943i | −0.690356 | − | 0.723470i | \(-0.742546\pi\) |
0.401281 | − | 0.915955i | \(-0.368565\pi\) | |||||||
\(954\) | −10.8441 | − | 9.09928i | −0.351091 | − | 0.294600i | ||||
\(955\) | −10.8235 | + | 9.08200i | −0.350240 | + | 0.293887i | ||||
\(956\) | 1.71679 | − | 9.73642i | 0.0555251 | − | 0.314898i | ||||
\(957\) | −18.9997 | + | 32.9084i | −0.614172 | + | 1.06378i | ||||
\(958\) | −17.8682 | − | 30.9486i | −0.577294 | − | 0.999902i | ||||
\(959\) | −13.0460 | + | 4.74836i | −0.421277 | + | 0.153332i | ||||
\(960\) | 0.939693 | − | 0.342020i | 0.0303284 | − | 0.0110387i | ||||
\(961\) | 11.2544 | + | 19.4933i | 0.363046 | + | 0.628815i | ||||
\(962\) | −5.72296 | + | 9.91245i | −0.184516 | + | 0.319590i | ||||
\(963\) | −1.90767 | + | 10.8189i | −0.0614738 | + | 0.348635i | ||||
\(964\) | 3.07885 | − | 2.58346i | 0.0991632 | − | 0.0832078i | ||||
\(965\) | 0.682335 | + | 0.572547i | 0.0219651 | + | 0.0184309i | ||||
\(966\) | 0.597500 | + | 3.38859i | 0.0192243 | + | 0.109026i | ||||
\(967\) | 2.15660 | + | 0.784936i | 0.0693514 | + | 0.0252419i | 0.376463 | − | 0.926432i | \(-0.377140\pi\) |
−0.307111 | + | 0.951674i | \(0.599362\pi\) | |||||||
\(968\) | 15.2026 | 0.488632 | ||||||||
\(969\) | −3.48095 | + | 0.366292i | −0.111824 | + | 0.0117670i | ||||
\(970\) | −18.2110 | −0.584721 | ||||||||
\(971\) | 44.2144 | + | 16.0927i | 1.41891 | + | 0.516441i | 0.933731 | − | 0.357975i | \(-0.116533\pi\) |
0.485178 | + | 0.874416i | \(0.338755\pi\) | |||||||
\(972\) | −0.173648 | − | 0.984808i | −0.00556977 | − | 0.0315877i | ||||
\(973\) | 7.81380 | + | 6.55655i | 0.250499 | + | 0.210193i | ||||
\(974\) | 1.68715 | − | 1.41569i | 0.0540599 | − | 0.0453616i | ||||
\(975\) | 0.222674 | − | 1.26285i | 0.00713127 | − | 0.0404434i | ||||
\(976\) | 4.30247 | − | 7.45210i | 0.137719 | − | 0.238536i | ||||
\(977\) | −28.4898 | − | 49.3458i | −0.911470 | − | 1.57871i | −0.811988 | − | 0.583673i | \(-0.801615\pi\) |
−0.0994818 | − | 0.995039i | \(-0.531719\pi\) | |||||||
\(978\) | 3.58161 | − | 1.30360i | 0.114527 | − | 0.0416845i | ||||
\(979\) | −30.4221 | + | 11.0727i | −0.972295 | + | 0.353887i | ||||
\(980\) | 3.31024 | + | 5.73351i | 0.105742 | + | 0.183150i | ||||
\(981\) | −6.09469 | + | 10.5563i | −0.194588 | + | 0.337037i | ||||
\(982\) | 1.18706 | − | 6.73217i | 0.0378807 | − | 0.214832i | ||||
\(983\) | −8.18750 | + | 6.87013i | −0.261141 | + | 0.219123i | −0.763952 | − | 0.645273i | \(-0.776744\pi\) |
0.502811 | + | 0.864396i | \(0.332299\pi\) | |||||||
\(984\) | 3.16197 | + | 2.65321i | 0.100800 | + | 0.0845812i | ||||
\(985\) | −0.258922 | − | 1.46842i | −0.00824995 | − | 0.0467878i | ||||
\(986\) | −5.60146 | − | 2.03877i | −0.178387 | − | 0.0649275i | ||||
\(987\) | 1.31595 | 0.0418873 | ||||||||
\(988\) | 4.63432 | + | 3.12506i | 0.147437 | + | 0.0994214i | ||||
\(989\) | 53.5021 | 1.70127 | ||||||||
\(990\) | −4.81015 | − | 1.75075i | −0.152877 | − | 0.0556425i | ||||
\(991\) | −5.54054 | − | 31.4220i | −0.176001 | − | 0.998152i | −0.936982 | − | 0.349377i | \(-0.886393\pi\) |
0.760981 | − | 0.648774i | \(-0.224718\pi\) | |||||||
\(992\) | −2.23222 | − | 1.87305i | −0.0708730 | − | 0.0594695i | ||||
\(993\) | 12.4095 | − | 10.4128i | 0.393805 | − | 0.330441i | ||||
\(994\) | 0.850609 | − | 4.82405i | 0.0269797 | − | 0.153009i | ||||
\(995\) | −3.29574 | + | 5.70839i | −0.104482 | + | 0.180968i | ||||
\(996\) | 1.30961 | + | 2.26831i | 0.0414966 | + | 0.0718742i | ||||
\(997\) | −5.69707 | + | 2.07356i | −0.180428 | + | 0.0656704i | −0.430654 | − | 0.902517i | \(-0.641717\pi\) |
0.250226 | + | 0.968187i | \(0.419495\pi\) | |||||||
\(998\) | −41.3129 | + | 15.0367i | −1.30774 | + | 0.475977i | ||||
\(999\) | −4.46295 | − | 7.73005i | −0.141201 | − | 0.244568i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 570.2.u.j.61.2 | ✓ | 12 | |
19.5 | even | 9 | inner | 570.2.u.j.271.2 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.u.j.61.2 | ✓ | 12 | 1.1 | even | 1 | trivial | |
570.2.u.j.271.2 | yes | 12 | 19.5 | even | 9 | inner |