Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,2,Mod(6,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.g (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.918279623245\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 71.1 | ||
Root | \(0.142315 - 0.989821i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 115.71 |
Dual form | 115.2.g.a.81.1 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30075 | − | 0.835939i | −0.919767 | − | 0.591098i | −0.00717677 | − | 0.999974i | \(-0.502284\pi\) |
−0.912590 | + | 0.408876i | \(0.865921\pi\) | |||||||
\(3\) | 0.142315 | + | 0.989821i | 0.0821655 | + | 0.571474i | 0.988765 | + | 0.149481i | \(0.0477602\pi\) |
−0.906599 | + | 0.421993i | \(0.861331\pi\) | |||||||
\(4\) | 0.162317 | + | 0.355426i | 0.0811587 | + | 0.177713i | ||||
\(5\) | 0.959493 | + | 0.281733i | 0.429098 | + | 0.125995i | ||||
\(6\) | 0.642315 | − | 1.40647i | 0.262224 | − | 0.574190i | ||||
\(7\) | 1.57028 | − | 1.81219i | 0.593508 | − | 0.684945i | −0.376944 | − | 0.926236i | \(-0.623025\pi\) |
0.970453 | + | 0.241291i | \(0.0775707\pi\) | |||||||
\(8\) | −0.354114 | + | 2.46292i | −0.125198 | + | 0.870773i | ||||
\(9\) | 1.91899 | − | 0.563465i | 0.639662 | − | 0.187822i | ||||
\(10\) | −1.01255 | − | 1.16854i | −0.320195 | − | 0.369525i | ||||
\(11\) | 3.19505 | − | 2.05334i | 0.963345 | − | 0.619104i | 0.0384230 | − | 0.999262i | \(-0.487767\pi\) |
0.924922 | + | 0.380158i | \(0.124130\pi\) | |||||||
\(12\) | −0.328708 | + | 0.211248i | −0.0948897 | + | 0.0609819i | ||||
\(13\) | −1.07028 | − | 1.23516i | −0.296841 | − | 0.342573i | 0.587663 | − | 0.809106i | \(-0.300048\pi\) |
−0.884504 | + | 0.466533i | \(0.845503\pi\) | |||||||
\(14\) | −3.55742 | + | 1.04455i | −0.950759 | + | 0.279168i | ||||
\(15\) | −0.142315 | + | 0.989821i | −0.0367455 | + | 0.255571i | ||||
\(16\) | 3.03122 | − | 3.49821i | 0.757804 | − | 0.874553i | ||||
\(17\) | −1.19028 | + | 2.60635i | −0.288685 | + | 0.632132i | −0.997298 | − | 0.0734657i | \(-0.976594\pi\) |
0.708613 | + | 0.705598i | \(0.249321\pi\) | |||||||
\(18\) | −2.96714 | − | 0.871230i | −0.699361 | − | 0.205351i | ||||
\(19\) | −0.754359 | − | 1.65182i | −0.173062 | − | 0.378953i | 0.803148 | − | 0.595779i | \(-0.203157\pi\) |
−0.976210 | + | 0.216827i | \(0.930429\pi\) | |||||||
\(20\) | 0.0556075 | + | 0.386758i | 0.0124342 | + | 0.0864818i | ||||
\(21\) | 2.01722 | + | 1.29639i | 0.440194 | + | 0.282896i | ||||
\(22\) | −5.87242 | −1.25200 | ||||||||
\(23\) | −3.50654 | + | 3.27173i | −0.731164 | + | 0.682202i | ||||
\(24\) | −2.48825 | −0.507911 | ||||||||
\(25\) | 0.841254 | + | 0.540641i | 0.168251 | + | 0.108128i | ||||
\(26\) | 0.359636 | + | 2.50132i | 0.0705303 | + | 0.490549i | ||||
\(27\) | 2.07708 | + | 4.54816i | 0.399733 | + | 0.875294i | ||||
\(28\) | 0.898983 | + | 0.263965i | 0.169892 | + | 0.0498848i | ||||
\(29\) | −3.57631 | + | 7.83103i | −0.664104 | + | 1.45419i | 0.214543 | + | 0.976715i | \(0.431174\pi\) |
−0.878647 | + | 0.477471i | \(0.841553\pi\) | |||||||
\(30\) | 1.01255 | − | 1.16854i | 0.184865 | − | 0.213345i | ||||
\(31\) | 0.185062 | − | 1.28713i | 0.0332380 | − | 0.231176i | −0.966430 | − | 0.256929i | \(-0.917289\pi\) |
0.999668 | + | 0.0257533i | \(0.00819844\pi\) | |||||||
\(32\) | −2.09223 | + | 0.614334i | −0.369857 | + | 0.108600i | ||||
\(33\) | 2.48714 | + | 2.87031i | 0.432955 | + | 0.499657i | ||||
\(34\) | 3.72700 | − | 2.39520i | 0.639175 | − | 0.410773i | ||||
\(35\) | 2.01722 | − | 1.29639i | 0.340973 | − | 0.219130i | ||||
\(36\) | 0.511755 | + | 0.590596i | 0.0852924 | + | 0.0984327i | ||||
\(37\) | −6.58052 | + | 1.93221i | −1.08183 | + | 0.317654i | −0.773611 | − | 0.633661i | \(-0.781551\pi\) |
−0.308220 | + | 0.951315i | \(0.599733\pi\) | |||||||
\(38\) | −0.399587 | + | 2.77919i | −0.0648216 | + | 0.450844i | ||||
\(39\) | 1.07028 | − | 1.23516i | 0.171381 | − | 0.197785i | ||||
\(40\) | −1.03365 | + | 2.26339i | −0.163435 | + | 0.357873i | ||||
\(41\) | −6.01710 | − | 1.76678i | −0.939712 | − | 0.275924i | −0.224215 | − | 0.974540i | \(-0.571982\pi\) |
−0.715498 | + | 0.698615i | \(0.753800\pi\) | |||||||
\(42\) | −1.54019 | − | 3.37255i | −0.237657 | − | 0.520396i | ||||
\(43\) | −1.72084 | − | 11.9687i | −0.262425 | − | 1.82521i | −0.514488 | − | 0.857498i | \(-0.672018\pi\) |
0.252062 | − | 0.967711i | \(-0.418891\pi\) | |||||||
\(44\) | 1.24842 | + | 0.802311i | 0.188206 | + | 0.120953i | ||||
\(45\) | 2.00000 | 0.298142 | ||||||||
\(46\) | 7.29608 | − | 1.32443i | 1.07575 | − | 0.195277i | ||||
\(47\) | 4.66817 | 0.680923 | 0.340461 | − | 0.940258i | \(-0.389417\pi\) | ||||
0.340461 | + | 0.940258i | \(0.389417\pi\) | |||||||
\(48\) | 3.89399 | + | 2.50252i | 0.562049 | + | 0.361207i | ||||
\(49\) | 0.177920 | + | 1.23746i | 0.0254171 | + | 0.176780i | ||||
\(50\) | −0.642315 | − | 1.40647i | −0.0908370 | − | 0.198905i | ||||
\(51\) | −2.74921 | − | 0.807241i | −0.384967 | − | 0.113036i | ||||
\(52\) | 0.265284 | − | 0.580892i | 0.0367883 | − | 0.0805552i | ||||
\(53\) | 3.35061 | − | 3.86681i | 0.460241 | − | 0.531147i | −0.477430 | − | 0.878670i | \(-0.658432\pi\) |
0.937671 | + | 0.347523i | \(0.112977\pi\) | |||||||
\(54\) | 1.10024 | − | 7.65231i | 0.149723 | − | 1.04135i | ||||
\(55\) | 3.64412 | − | 1.07001i | 0.491373 | − | 0.144280i | ||||
\(56\) | 3.90723 | + | 4.50919i | 0.522126 | + | 0.602565i | ||||
\(57\) | 1.52765 | − | 0.981759i | 0.202342 | − | 0.130037i | ||||
\(58\) | 11.1981 | − | 7.19661i | 1.47039 | − | 0.944961i | ||||
\(59\) | −4.75399 | − | 5.48639i | −0.618916 | − | 0.714267i | 0.356585 | − | 0.934263i | \(-0.383941\pi\) |
−0.975501 | + | 0.219996i | \(0.929396\pi\) | |||||||
\(60\) | −0.374908 | + | 0.110083i | −0.0484004 | + | 0.0142116i | ||||
\(61\) | −1.23344 | + | 8.57875i | −0.157926 | + | 1.09840i | 0.744523 | + | 0.667597i | \(0.232677\pi\) |
−0.902448 | + | 0.430799i | \(0.858232\pi\) | |||||||
\(62\) | −1.31668 | + | 1.51953i | −0.167219 | + | 0.192981i | ||||
\(63\) | 1.99223 | − | 4.36237i | 0.250997 | − | 0.549607i | ||||
\(64\) | −5.64759 | − | 1.65828i | −0.705949 | − | 0.207285i | ||||
\(65\) | −0.678936 | − | 1.48666i | −0.0842117 | − | 0.184398i | ||||
\(66\) | −0.835732 | − | 5.81264i | −0.102872 | − | 0.715487i | ||||
\(67\) | 4.36550 | + | 2.80554i | 0.533331 | + | 0.342751i | 0.779426 | − | 0.626495i | \(-0.215511\pi\) |
−0.246095 | + | 0.969246i | \(0.579147\pi\) | |||||||
\(68\) | −1.11956 | −0.135767 | ||||||||
\(69\) | −3.73746 | − | 3.00523i | −0.449937 | − | 0.361787i | ||||
\(70\) | −3.70760 | −0.443143 | ||||||||
\(71\) | −2.38202 | − | 1.53083i | −0.282694 | − | 0.181676i | 0.391608 | − | 0.920132i | \(-0.371919\pi\) |
−0.674302 | + | 0.738456i | \(0.735555\pi\) | |||||||
\(72\) | 0.708228 | + | 4.92584i | 0.0834655 | + | 0.580515i | ||||
\(73\) | −0.872226 | − | 1.90991i | −0.102086 | − | 0.223538i | 0.851696 | − | 0.524036i | \(-0.175574\pi\) |
−0.953782 | + | 0.300498i | \(0.902847\pi\) | |||||||
\(74\) | 10.1748 | + | 2.98759i | 1.18280 | + | 0.347300i | ||||
\(75\) | −0.415415 | + | 0.909632i | −0.0479680 | + | 0.105035i | ||||
\(76\) | 0.464652 | − | 0.536237i | 0.0532992 | − | 0.0615106i | ||||
\(77\) | 1.29607 | − | 9.01436i | 0.147701 | − | 1.02728i | ||||
\(78\) | −2.42468 | + | 0.711950i | −0.274541 | + | 0.0806125i | ||||
\(79\) | 8.09638 | + | 9.34373i | 0.910914 | + | 1.05125i | 0.998481 | + | 0.0550926i | \(0.0175454\pi\) |
−0.0875669 | + | 0.996159i | \(0.527909\pi\) | |||||||
\(80\) | 3.89399 | − | 2.50252i | 0.435362 | − | 0.279790i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | 6.34980 | + | 7.32806i | 0.701218 | + | 0.809248i | ||||
\(83\) | −13.1023 | + | 3.84719i | −1.43817 | + | 0.422284i | −0.905611 | − | 0.424110i | \(-0.860587\pi\) |
−0.532557 | + | 0.846394i | \(0.678769\pi\) | |||||||
\(84\) | −0.133340 | + | 0.927399i | −0.0145486 | + | 0.101188i | ||||
\(85\) | −1.87636 | + | 2.16543i | −0.203519 | + | 0.234874i | ||||
\(86\) | −7.76672 | + | 17.0068i | −0.837507 | + | 1.83389i | ||||
\(87\) | −8.26028 | − | 2.42544i | −0.885595 | − | 0.260034i | ||||
\(88\) | 3.92579 | + | 8.59627i | 0.418490 | + | 0.916366i | ||||
\(89\) | 1.65356 | + | 11.5007i | 0.175276 | + | 1.21907i | 0.867517 | + | 0.497408i | \(0.165715\pi\) |
−0.692240 | + | 0.721667i | \(0.743376\pi\) | |||||||
\(90\) | −2.60149 | − | 1.67188i | −0.274221 | − | 0.176231i | ||||
\(91\) | −3.91899 | −0.410821 | ||||||||
\(92\) | −1.73203 | − | 0.715255i | −0.180576 | − | 0.0745705i | ||||
\(93\) | 1.30037 | 0.134842 | ||||||||
\(94\) | −6.07211 | − | 3.90231i | −0.626290 | − | 0.402492i | ||||
\(95\) | −0.258432 | − | 1.79743i | −0.0265146 | − | 0.184413i | ||||
\(96\) | −0.905836 | − | 1.98350i | −0.0924515 | − | 0.202441i | ||||
\(97\) | 5.95288 | + | 1.74792i | 0.604423 | + | 0.177475i | 0.569605 | − | 0.821919i | \(-0.307096\pi\) |
0.0348189 | + | 0.999394i | \(0.488915\pi\) | |||||||
\(98\) | 0.803012 | − | 1.75835i | 0.0811164 | − | 0.177620i | ||||
\(99\) | 4.97428 | − | 5.74062i | 0.499934 | − | 0.576954i | ||||
\(100\) | −0.0556075 | + | 0.386758i | −0.00556075 | + | 0.0386758i | ||||
\(101\) | −12.2111 | + | 3.58550i | −1.21505 | + | 0.356771i | −0.825589 | − | 0.564273i | \(-0.809157\pi\) |
−0.389460 | + | 0.921043i | \(0.627339\pi\) | |||||||
\(102\) | 2.90122 | + | 3.34819i | 0.287264 | + | 0.331520i | ||||
\(103\) | 0.426053 | − | 0.273808i | 0.0419803 | − | 0.0269791i | −0.519482 | − | 0.854481i | \(-0.673875\pi\) |
0.561463 | + | 0.827502i | \(0.310239\pi\) | |||||||
\(104\) | 3.42111 | − | 2.19861i | 0.335467 | − | 0.215592i | ||||
\(105\) | 1.57028 | + | 1.81219i | 0.153243 | + | 0.176852i | ||||
\(106\) | −7.59071 | + | 2.22883i | −0.737275 | + | 0.216483i | ||||
\(107\) | 1.35499 | − | 9.42415i | 0.130992 | − | 0.911067i | −0.813274 | − | 0.581881i | \(-0.802317\pi\) |
0.944265 | − | 0.329185i | \(-0.106774\pi\) | |||||||
\(108\) | −1.27939 | + | 1.47649i | −0.123109 | + | 0.142075i | ||||
\(109\) | −3.35462 | + | 7.34559i | −0.321314 | + | 0.703580i | −0.999510 | − | 0.0313010i | \(-0.990035\pi\) |
0.678196 | + | 0.734881i | \(0.262762\pi\) | |||||||
\(110\) | −5.63454 | − | 1.65445i | −0.537233 | − | 0.157746i | ||||
\(111\) | −2.84905 | − | 6.23856i | −0.270420 | − | 0.592137i | ||||
\(112\) | −1.57959 | − | 10.9863i | −0.149258 | − | 1.03811i | ||||
\(113\) | −2.97601 | − | 1.91257i | −0.279960 | − | 0.179919i | 0.393124 | − | 0.919485i | \(-0.371394\pi\) |
−0.673084 | + | 0.739566i | \(0.735031\pi\) | |||||||
\(114\) | −2.80777 | −0.262972 | ||||||||
\(115\) | −4.28625 | + | 2.15129i | −0.399695 | + | 0.200609i | ||||
\(116\) | −3.36385 | −0.312325 | ||||||||
\(117\) | −2.74982 | − | 1.76720i | −0.254221 | − | 0.163378i | ||||
\(118\) | 1.59744 | + | 11.1104i | 0.147056 | + | 1.02280i | ||||
\(119\) | 2.85414 | + | 6.24970i | 0.261639 | + | 0.572909i | ||||
\(120\) | −2.38745 | − | 0.701020i | −0.217944 | − | 0.0639941i | ||||
\(121\) | 1.42261 | − | 3.11508i | 0.129328 | − | 0.283189i | ||||
\(122\) | 8.77570 | − | 10.1277i | 0.794514 | − | 0.916919i | ||||
\(123\) | 0.892473 | − | 6.20729i | 0.0804716 | − | 0.559692i | ||||
\(124\) | 0.487518 | − | 0.143148i | 0.0437804 | − | 0.0128551i | ||||
\(125\) | 0.654861 | + | 0.755750i | 0.0585725 | + | 0.0675963i | ||||
\(126\) | −6.23806 | + | 4.00896i | −0.555731 | + | 0.357146i | ||||
\(127\) | 0.256571 | − | 0.164888i | 0.0227670 | − | 0.0146315i | −0.529208 | − | 0.848492i | \(-0.677511\pi\) |
0.551975 | + | 0.833861i | \(0.313874\pi\) | |||||||
\(128\) | 8.81578 | + | 10.1740i | 0.779213 | + | 0.899259i | ||||
\(129\) | 11.6020 | − | 3.40665i | 1.02150 | − | 0.299938i | ||||
\(130\) | −0.359636 | + | 2.50132i | −0.0315421 | + | 0.219380i | ||||
\(131\) | 14.5546 | − | 16.7968i | 1.27164 | − | 1.46755i | 0.454894 | − | 0.890545i | \(-0.349677\pi\) |
0.816743 | − | 0.577002i | \(-0.195778\pi\) | |||||||
\(132\) | −0.616476 | + | 1.34989i | −0.0536574 | + | 0.117493i | ||||
\(133\) | −4.17796 | − | 1.22676i | −0.362275 | − | 0.106374i | ||||
\(134\) | −3.33315 | − | 7.29859i | −0.287940 | − | 0.630502i | ||||
\(135\) | 0.711574 | + | 4.94911i | 0.0612426 | + | 0.425951i | ||||
\(136\) | −5.99772 | − | 3.85450i | −0.514301 | − | 0.330521i | ||||
\(137\) | 13.2706 | 1.13379 | 0.566893 | − | 0.823791i | \(-0.308145\pi\) | ||||
0.566893 | + | 0.823791i | \(0.308145\pi\) | |||||||
\(138\) | 2.34929 | + | 7.03333i | 0.199985 | + | 0.598717i | ||||
\(139\) | −22.1390 | −1.87781 | −0.938905 | − | 0.344177i | \(-0.888158\pi\) | ||||
−0.938905 | + | 0.344177i | \(0.888158\pi\) | |||||||
\(140\) | 0.788201 | + | 0.506546i | 0.0666151 | + | 0.0428109i | ||||
\(141\) | 0.664350 | + | 4.62066i | 0.0559484 | + | 0.389130i | ||||
\(142\) | 1.81872 | + | 3.98245i | 0.152624 | + | 0.334200i | ||||
\(143\) | −5.95579 | − | 1.74878i | −0.498049 | − | 0.146240i | ||||
\(144\) | 3.84574 | − | 8.42100i | 0.320479 | − | 0.701750i | ||||
\(145\) | −5.63770 | + | 6.50625i | −0.468186 | + | 0.540315i | ||||
\(146\) | −0.462022 | + | 3.21343i | −0.0382372 | + | 0.265946i | ||||
\(147\) | −1.19954 | + | 0.352218i | −0.0989366 | + | 0.0290504i | ||||
\(148\) | −1.75489 | − | 2.02525i | −0.144251 | − | 0.166475i | ||||
\(149\) | 19.0366 | − | 12.2341i | 1.55954 | − | 1.00225i | 0.576877 | − | 0.816831i | \(-0.304271\pi\) |
0.982659 | − | 0.185421i | \(-0.0593650\pi\) | |||||||
\(150\) | 1.30075 | − | 0.835939i | 0.106206 | − | 0.0682541i | ||||
\(151\) | −1.31207 | − | 1.51421i | −0.106775 | − | 0.123224i | 0.699847 | − | 0.714293i | \(-0.253252\pi\) |
−0.806621 | + | 0.591069i | \(0.798706\pi\) | |||||||
\(152\) | 4.33542 | − | 1.27299i | 0.351649 | − | 0.103253i | ||||
\(153\) | −0.815542 | + | 5.67222i | −0.0659327 | + | 0.458572i | ||||
\(154\) | −9.22131 | + | 10.6420i | −0.743075 | + | 0.857554i | ||||
\(155\) | 0.540192 | − | 1.18286i | 0.0433893 | − | 0.0950093i | ||||
\(156\) | 0.612733 | + | 0.179915i | 0.0490579 | + | 0.0144047i | ||||
\(157\) | 2.66378 | + | 5.83287i | 0.212593 | + | 0.465514i | 0.985645 | − | 0.168828i | \(-0.0539984\pi\) |
−0.773052 | + | 0.634342i | \(0.781271\pi\) | |||||||
\(158\) | −2.72056 | − | 18.9219i | −0.216436 | − | 1.50535i | ||||
\(159\) | 4.30429 | + | 2.76620i | 0.341352 | + | 0.219374i | ||||
\(160\) | −2.18056 | −0.172388 | ||||||||
\(161\) | 0.422774 | + | 11.4920i | 0.0333193 | + | 0.905700i | ||||
\(162\) | −1.54620 | −0.121481 | ||||||||
\(163\) | 5.60419 | + | 3.60160i | 0.438954 | + | 0.282099i | 0.741394 | − | 0.671070i | \(-0.234165\pi\) |
−0.302440 | + | 0.953168i | \(0.597801\pi\) | |||||||
\(164\) | −0.348721 | − | 2.42541i | −0.0272305 | − | 0.189393i | ||||
\(165\) | 1.57773 | + | 3.45475i | 0.122826 | + | 0.268952i | ||||
\(166\) | 20.2588 | + | 5.94853i | 1.57239 | + | 0.461695i | ||||
\(167\) | −1.73519 | + | 3.79953i | −0.134273 | + | 0.294016i | −0.964811 | − | 0.262946i | \(-0.915306\pi\) |
0.830538 | + | 0.556962i | \(0.188033\pi\) | |||||||
\(168\) | −3.90723 | + | 4.50919i | −0.301449 | + | 0.347891i | ||||
\(169\) | 1.46995 | − | 10.2237i | 0.113073 | − | 0.786442i | ||||
\(170\) | 4.25083 | − | 1.24816i | 0.326024 | − | 0.0957293i | ||||
\(171\) | −2.37835 | − | 2.74476i | −0.181877 | − | 0.209897i | ||||
\(172\) | 3.97466 | − | 2.55436i | 0.303065 | − | 0.194768i | ||||
\(173\) | −20.8088 | + | 13.3730i | −1.58207 | + | 1.01673i | −0.607031 | + | 0.794678i | \(0.707640\pi\) |
−0.975034 | + | 0.222053i | \(0.928724\pi\) | |||||||
\(174\) | 8.71702 | + | 10.0600i | 0.660835 | + | 0.762645i | ||||
\(175\) | 2.30075 | − | 0.675560i | 0.173920 | − | 0.0510675i | ||||
\(176\) | 2.50190 | − | 17.4011i | 0.188588 | − | 1.31166i | ||||
\(177\) | 4.75399 | − | 5.48639i | 0.357331 | − | 0.412383i | ||||
\(178\) | 7.46305 | − | 16.3418i | 0.559379 | − | 1.22487i | ||||
\(179\) | 4.59863 | + | 1.35028i | 0.343718 | + | 0.100925i | 0.449035 | − | 0.893514i | \(-0.351768\pi\) |
−0.105318 | + | 0.994439i | \(0.533586\pi\) | |||||||
\(180\) | 0.324635 | + | 0.710851i | 0.0241968 | + | 0.0529837i | ||||
\(181\) | 0.395108 | + | 2.74804i | 0.0293681 | + | 0.204260i | 0.999223 | − | 0.0394253i | \(-0.0125527\pi\) |
−0.969854 | + | 0.243685i | \(0.921644\pi\) | |||||||
\(182\) | 5.09761 | + | 3.27603i | 0.377860 | + | 0.242836i | ||||
\(183\) | −8.66696 | −0.640680 | ||||||||
\(184\) | −6.81628 | − | 9.79488i | −0.502503 | − | 0.722088i | ||||
\(185\) | −6.85833 | −0.504234 | ||||||||
\(186\) | −1.69145 | − | 1.08703i | −0.124023 | − | 0.0797048i | ||||
\(187\) | 1.54870 | + | 10.7715i | 0.113252 | + | 0.787687i | ||||
\(188\) | 0.757726 | + | 1.65919i | 0.0552628 | + | 0.121009i | ||||
\(189\) | 11.5037 | + | 3.37780i | 0.836773 | + | 0.245699i | ||||
\(190\) | −1.16639 | + | 2.55404i | −0.0846188 | + | 0.185289i | ||||
\(191\) | −0.0274926 | + | 0.0317282i | −0.00198930 | + | 0.00229577i | −0.756743 | − | 0.653712i | \(-0.773211\pi\) |
0.754754 | + | 0.656008i | \(0.227756\pi\) | |||||||
\(192\) | 0.837667 | − | 5.82611i | 0.0604534 | − | 0.420463i | ||||
\(193\) | 15.7302 | − | 4.61879i | 1.13228 | − | 0.332468i | 0.338678 | − | 0.940902i | \(-0.390020\pi\) |
0.793604 | + | 0.608434i | \(0.208202\pi\) | |||||||
\(194\) | −6.28203 | − | 7.24985i | −0.451024 | − | 0.520509i | ||||
\(195\) | 1.37491 | − | 0.883600i | 0.0984592 | − | 0.0632759i | ||||
\(196\) | −0.410945 | + | 0.264098i | −0.0293532 | + | 0.0188642i | ||||
\(197\) | −15.3171 | − | 17.6768i | −1.09130 | − | 1.25942i | −0.963525 | − | 0.267618i | \(-0.913763\pi\) |
−0.127770 | − | 0.991804i | \(-0.540782\pi\) | |||||||
\(198\) | −11.2691 | + | 3.30890i | −0.800859 | + | 0.235153i | ||||
\(199\) | 0.0188178 | − | 0.130881i | 0.00133396 | − | 0.00927789i | −0.989144 | − | 0.146952i | \(-0.953054\pi\) |
0.990478 | + | 0.137674i | \(0.0439627\pi\) | |||||||
\(200\) | −1.62945 | + | 1.88049i | −0.115220 | + | 0.132971i | ||||
\(201\) | −2.15571 | + | 4.72034i | −0.152052 | + | 0.332947i | ||||
\(202\) | 18.8808 | + | 5.54390i | 1.32845 | + | 0.390068i | ||||
\(203\) | 8.57556 | + | 18.7779i | 0.601886 | + | 1.31795i | ||||
\(204\) | −0.159331 | − | 1.10817i | −0.0111554 | − | 0.0775874i | ||||
\(205\) | −5.27560 | − | 3.39042i | −0.368464 | − | 0.236797i | ||||
\(206\) | −0.783074 | −0.0545594 | ||||||||
\(207\) | −4.88549 | + | 8.25421i | −0.339565 | + | 0.573707i | ||||
\(208\) | −7.56510 | −0.524546 | ||||||||
\(209\) | −5.80195 | − | 3.72869i | −0.401329 | − | 0.257919i | ||||
\(210\) | −0.527646 | − | 3.66986i | −0.0364111 | − | 0.253244i | ||||
\(211\) | −10.3073 | − | 22.5698i | −0.709582 | − | 1.55377i | −0.827952 | − | 0.560799i | \(-0.810494\pi\) |
0.118370 | − | 0.992970i | \(-0.462233\pi\) | |||||||
\(212\) | 1.91822 | + | 0.563241i | 0.131744 | + | 0.0386836i | ||||
\(213\) | 1.17625 | − | 2.57564i | 0.0805956 | − | 0.176480i | ||||
\(214\) | −9.64051 | + | 11.1257i | −0.659012 | + | 0.760540i | ||||
\(215\) | 1.72084 | − | 11.9687i | 0.117360 | − | 0.816258i | ||||
\(216\) | −11.9373 | + | 3.50510i | −0.812228 | + | 0.238492i | ||||
\(217\) | −2.04194 | − | 2.35652i | −0.138616 | − | 0.159971i | ||||
\(218\) | 10.5040 | − | 6.75050i | 0.711419 | − | 0.457201i | ||||
\(219\) | 1.76634 | − | 1.13516i | 0.119358 | − | 0.0767067i | ||||
\(220\) | 0.971814 | + | 1.12153i | 0.0655197 | + | 0.0756137i | ||||
\(221\) | 4.49319 | − | 1.31932i | 0.302245 | − | 0.0887471i | ||||
\(222\) | −1.50916 | + | 10.4964i | −0.101288 | + | 0.704473i | ||||
\(223\) | 13.2408 | − | 15.2807i | 0.886669 | − | 1.02327i | −0.112891 | − | 0.993607i | \(-0.536011\pi\) |
0.999560 | − | 0.0296631i | \(-0.00944345\pi\) | |||||||
\(224\) | −2.17208 | + | 4.75620i | −0.145128 | + | 0.317787i | ||||
\(225\) | 1.91899 | + | 0.563465i | 0.127932 | + | 0.0375643i | ||||
\(226\) | 2.27225 | + | 4.97553i | 0.151148 | + | 0.330968i | ||||
\(227\) | 1.79655 | + | 12.4953i | 0.119241 | + | 0.829339i | 0.958395 | + | 0.285445i | \(0.0921415\pi\) |
−0.839154 | + | 0.543894i | \(0.816949\pi\) | |||||||
\(228\) | 0.596906 | + | 0.383608i | 0.0395310 | + | 0.0254051i | ||||
\(229\) | 17.5666 | 1.16084 | 0.580418 | − | 0.814319i | \(-0.302889\pi\) | ||||
0.580418 | + | 0.814319i | \(0.302889\pi\) | |||||||
\(230\) | 7.37367 | + | 0.784758i | 0.486206 | + | 0.0517454i | ||||
\(231\) | 9.10706 | 0.599200 | ||||||||
\(232\) | −18.0208 | − | 11.5812i | −1.18312 | − | 0.760346i | ||||
\(233\) | −0.975427 | − | 6.78424i | −0.0639023 | − | 0.444451i | −0.996504 | − | 0.0835435i | \(-0.973376\pi\) |
0.932602 | − | 0.360907i | \(-0.117533\pi\) | |||||||
\(234\) | 2.09954 | + | 4.59736i | 0.137251 | + | 0.300539i | ||||
\(235\) | 4.47908 | + | 1.31518i | 0.292183 | + | 0.0857926i | ||||
\(236\) | 1.17835 | − | 2.58023i | 0.0767040 | − | 0.167958i | ||||
\(237\) | −8.09638 | + | 9.34373i | −0.525917 | + | 0.606940i | ||||
\(238\) | 1.51185 | − | 10.5152i | 0.0979988 | − | 0.681597i | ||||
\(239\) | −8.41649 | + | 2.47130i | −0.544418 | + | 0.159855i | −0.542366 | − | 0.840142i | \(-0.682471\pi\) |
−0.00205178 | + | 0.999998i | \(0.500653\pi\) | |||||||
\(240\) | 3.03122 | + | 3.49821i | 0.195664 | + | 0.225809i | ||||
\(241\) | −8.54608 | + | 5.49223i | −0.550501 | + | 0.353786i | −0.786134 | − | 0.618057i | \(-0.787920\pi\) |
0.235632 | + | 0.971842i | \(0.424284\pi\) | |||||||
\(242\) | −4.45447 | + | 2.86272i | −0.286344 | + | 0.184022i | ||||
\(243\) | 10.4778 | + | 12.0920i | 0.672149 | + | 0.775702i | ||||
\(244\) | −3.24931 | + | 0.954085i | −0.208016 | + | 0.0610790i | ||||
\(245\) | −0.177920 | + | 1.23746i | −0.0113669 | + | 0.0790584i | ||||
\(246\) | −6.34980 | + | 7.32806i | −0.404848 | + | 0.467220i | ||||
\(247\) | −1.23289 | + | 2.69966i | −0.0784470 | + | 0.171775i | ||||
\(248\) | 3.10457 | + | 0.911583i | 0.197140 | + | 0.0578856i | ||||
\(249\) | −5.67269 | − | 12.4215i | −0.359492 | − | 0.787178i | ||||
\(250\) | −0.220047 | − | 1.53046i | −0.0139170 | − | 0.0967949i | ||||
\(251\) | 10.5748 | + | 6.79599i | 0.667473 | + | 0.428959i | 0.830014 | − | 0.557743i | \(-0.188332\pi\) |
−0.162541 | + | 0.986702i | \(0.551969\pi\) | |||||||
\(252\) | 1.87387 | 0.118043 | ||||||||
\(253\) | −4.48562 | + | 17.6534i | −0.282009 | + | 1.10986i | ||||
\(254\) | −0.471570 | −0.0295890 | ||||||||
\(255\) | −2.41042 | − | 1.54908i | −0.150947 | − | 0.0970075i | ||||
\(256\) | −1.28696 | − | 8.95099i | −0.0804348 | − | 0.559437i | ||||
\(257\) | −13.1799 | − | 28.8599i | −0.822137 | − | 1.80023i | −0.542311 | − | 0.840178i | \(-0.682450\pi\) |
−0.279826 | − | 0.960051i | \(-0.590277\pi\) | |||||||
\(258\) | −17.9390 | − | 5.26736i | −1.11683 | − | 0.327931i | ||||
\(259\) | −6.83168 | + | 14.9593i | −0.424500 | + | 0.929525i | ||||
\(260\) | 0.418195 | − | 0.482622i | 0.0259353 | − | 0.0299310i | ||||
\(261\) | −2.45038 | + | 17.0428i | −0.151675 | + | 1.05492i | ||||
\(262\) | −32.9729 | + | 9.68172i | −2.03707 | + | 0.598139i | ||||
\(263\) | −9.95732 | − | 11.4914i | −0.613994 | − | 0.708587i | 0.360561 | − | 0.932736i | \(-0.382585\pi\) |
−0.974555 | + | 0.224148i | \(0.928040\pi\) | |||||||
\(264\) | −7.95008 | + | 5.10920i | −0.489293 | + | 0.314450i | ||||
\(265\) | 4.30429 | − | 2.76620i | 0.264410 | − | 0.169926i | ||||
\(266\) | 4.40897 | + | 5.08823i | 0.270332 | + | 0.311979i | ||||
\(267\) | −11.1483 | + | 3.27345i | −0.682267 | + | 0.200332i | ||||
\(268\) | −0.288563 | + | 2.00700i | −0.0176268 | + | 0.122597i | ||||
\(269\) | −14.8927 | + | 17.1870i | −0.908022 | + | 1.04791i | 0.0906241 | + | 0.995885i | \(0.471114\pi\) |
−0.998646 | + | 0.0520276i | \(0.983432\pi\) | |||||||
\(270\) | 3.21157 | − | 7.03237i | 0.195450 | − | 0.427976i | ||||
\(271\) | 21.6374 | + | 6.35333i | 1.31438 | + | 0.385937i | 0.862462 | − | 0.506122i | \(-0.168921\pi\) |
0.451919 | + | 0.892059i | \(0.350740\pi\) | |||||||
\(272\) | 5.50956 | + | 12.0642i | 0.334066 | + | 0.731502i | ||||
\(273\) | −0.557730 | − | 3.87910i | −0.0337553 | − | 0.234774i | ||||
\(274\) | −17.2617 | − | 11.0934i | −1.04282 | − | 0.670179i | ||||
\(275\) | 3.79797 | 0.229026 | ||||||||
\(276\) | 0.461482 | − | 1.81619i | 0.0277779 | − | 0.109322i | ||||
\(277\) | −2.56712 | −0.154244 | −0.0771218 | − | 0.997022i | \(-0.524573\pi\) | ||||
−0.0771218 | + | 0.997022i | \(0.524573\pi\) | |||||||
\(278\) | 28.7973 | + | 18.5069i | 1.72715 | + | 1.10997i | ||||
\(279\) | −0.370123 | − | 2.57426i | −0.0221587 | − | 0.154117i | ||||
\(280\) | 2.47858 | + | 5.42733i | 0.148123 | + | 0.324345i | ||||
\(281\) | 25.8504 | + | 7.59036i | 1.54211 | + | 0.452803i | 0.938730 | − | 0.344654i | \(-0.112004\pi\) |
0.603376 | + | 0.797457i | \(0.293822\pi\) | |||||||
\(282\) | 2.99844 | − | 6.56566i | 0.178554 | − | 0.390979i | ||||
\(283\) | 1.64025 | − | 1.89295i | 0.0975028 | − | 0.112524i | −0.704901 | − | 0.709306i | \(-0.749009\pi\) |
0.802404 | + | 0.596781i | \(0.203554\pi\) | |||||||
\(284\) | 0.157453 | − | 1.09511i | 0.00934314 | − | 0.0649830i | ||||
\(285\) | 1.74236 | − | 0.511603i | 0.103208 | − | 0.0303047i | ||||
\(286\) | 6.28511 | + | 7.25340i | 0.371646 | + | 0.428902i | ||||
\(287\) | −12.6502 | + | 8.12982i | −0.746720 | + | 0.479888i | ||||
\(288\) | −3.66880 | + | 2.35780i | −0.216186 | + | 0.138934i | ||||
\(289\) | 5.75635 | + | 6.64319i | 0.338609 | + | 0.390776i | ||||
\(290\) | 12.7721 | − | 3.75021i | 0.750001 | − | 0.220220i | ||||
\(291\) | −0.882949 | + | 6.14104i | −0.0517594 | + | 0.359994i | ||||
\(292\) | 0.537253 | − | 0.620023i | 0.0314403 | − | 0.0362841i | ||||
\(293\) | 8.16641 | − | 17.8819i | 0.477087 | − | 1.04467i | −0.506167 | − | 0.862435i | \(-0.668938\pi\) |
0.983254 | − | 0.182239i | \(-0.0583345\pi\) | |||||||
\(294\) | 1.85473 | + | 0.544599i | 0.108170 | + | 0.0317617i | ||||
\(295\) | −3.01572 | − | 6.60351i | −0.175582 | − | 0.384471i | ||||
\(296\) | −2.42863 | − | 16.8915i | −0.141161 | − | 0.981799i | ||||
\(297\) | 15.9753 | + | 10.2667i | 0.926979 | + | 0.595733i | ||||
\(298\) | −34.9887 | −2.02684 | ||||||||
\(299\) | 7.79408 | + | 0.829500i | 0.450743 | + | 0.0479712i | ||||
\(300\) | −0.390736 | −0.0225591 | ||||||||
\(301\) | −24.3918 | − | 15.6757i | −1.40592 | − | 0.903530i | ||||
\(302\) | 0.440883 | + | 3.06641i | 0.0253700 | + | 0.176452i | ||||
\(303\) | −5.28682 | − | 11.5765i | −0.303720 | − | 0.665054i | ||||
\(304\) | −8.06503 | − | 2.36811i | −0.462561 | − | 0.135820i | ||||
\(305\) | −3.60039 | + | 7.88375i | −0.206158 | + | 0.451422i | ||||
\(306\) | 5.80245 | − | 6.69638i | 0.331704 | − | 0.382807i | ||||
\(307\) | −0.898392 | + | 6.24845i | −0.0512739 | + | 0.356618i | 0.947991 | + | 0.318296i | \(0.103110\pi\) |
−0.999265 | + | 0.0383224i | \(0.987799\pi\) | |||||||
\(308\) | 3.41431 | − | 1.00253i | 0.194548 | − | 0.0571245i | ||||
\(309\) | 0.331655 | + | 0.382750i | 0.0188672 | + | 0.0217739i | ||||
\(310\) | −1.69145 | + | 1.08703i | −0.0960678 | + | 0.0617390i | ||||
\(311\) | −19.8840 | + | 12.7787i | −1.12752 | + | 0.724612i | −0.965041 | − | 0.262100i | \(-0.915585\pi\) |
−0.162478 | + | 0.986712i | \(0.551949\pi\) | |||||||
\(312\) | 2.66311 | + | 3.07339i | 0.150769 | + | 0.173997i | ||||
\(313\) | 30.0708 | − | 8.82958i | 1.69970 | − | 0.499078i | 0.719070 | − | 0.694937i | \(-0.244568\pi\) |
0.980632 | + | 0.195860i | \(0.0627498\pi\) | |||||||
\(314\) | 1.41102 | − | 9.81384i | 0.0796283 | − | 0.553827i | ||||
\(315\) | 3.14055 | − | 3.62439i | 0.176950 | − | 0.204211i | ||||
\(316\) | −2.00681 | + | 4.39431i | −0.112892 | + | 0.247199i | ||||
\(317\) | −6.67638 | − | 1.96036i | −0.374983 | − | 0.110105i | 0.0888101 | − | 0.996049i | \(-0.471694\pi\) |
−0.463793 | + | 0.885944i | \(0.653512\pi\) | |||||||
\(318\) | −3.28642 | − | 7.19625i | −0.184293 | − | 0.403546i | ||||
\(319\) | 4.65323 | + | 32.3639i | 0.260531 | + | 1.81203i | ||||
\(320\) | −4.95163 | − | 3.18222i | −0.276805 | − | 0.177892i | ||||
\(321\) | 9.52106 | 0.531414 | ||||||||
\(322\) | 9.05672 | − | 15.3016i | 0.504712 | − | 0.852727i | ||||
\(323\) | 5.20310 | 0.289508 | ||||||||
\(324\) | 0.328708 | + | 0.211248i | 0.0182615 | + | 0.0117360i | ||||
\(325\) | −0.232593 | − | 1.61772i | −0.0129019 | − | 0.0897350i | ||||
\(326\) | −4.27892 | − | 9.36953i | −0.236987 | − | 0.518930i | ||||
\(327\) | −7.74824 | − | 2.27509i | −0.428479 | − | 0.125813i | ||||
\(328\) | 6.48217 | − | 14.1940i | 0.357918 | − | 0.783731i | ||||
\(329\) | 7.33032 | − | 8.45964i | 0.404134 | − | 0.466395i | ||||
\(330\) | 0.835732 | − | 5.81264i | 0.0460055 | − | 0.319976i | ||||
\(331\) | 20.4435 | − | 6.00275i | 1.12368 | − | 0.329941i | 0.333457 | − | 0.942765i | \(-0.391785\pi\) |
0.790219 | + | 0.612825i | \(0.209967\pi\) | |||||||
\(332\) | −3.49413 | − | 4.03244i | −0.191765 | − | 0.221309i | ||||
\(333\) | −11.5392 | + | 7.41578i | −0.632344 | + | 0.406383i | ||||
\(334\) | 5.43321 | − | 3.49171i | 0.297292 | − | 0.191058i | ||||
\(335\) | 3.39826 | + | 3.92180i | 0.185667 | + | 0.214271i | ||||
\(336\) | 10.6497 | − | 3.12703i | 0.580988 | − | 0.170594i | ||||
\(337\) | 2.73086 | − | 18.9936i | 0.148760 | − | 1.03465i | −0.769494 | − | 0.638653i | \(-0.779492\pi\) |
0.918254 | − | 0.395992i | \(-0.129599\pi\) | |||||||
\(338\) | −10.4585 | + | 12.0697i | −0.568865 | + | 0.656506i | ||||
\(339\) | 1.46957 | − | 3.21791i | 0.0798161 | − | 0.174773i | ||||
\(340\) | −1.07421 | − | 0.315418i | −0.0582575 | − | 0.0171059i | ||||
\(341\) | −2.05163 | − | 4.49245i | −0.111102 | − | 0.243280i | ||||
\(342\) | 0.799175 | + | 5.55838i | 0.0432144 | + | 0.300563i | ||||
\(343\) | 16.6425 | + | 10.6955i | 0.898608 | + | 0.577501i | ||||
\(344\) | 30.0873 | 1.62220 | ||||||||
\(345\) | −2.73939 | − | 3.93646i | −0.147484 | − | 0.211932i | ||||
\(346\) | 38.2460 | 2.05612 | ||||||||
\(347\) | 12.3328 | + | 7.92583i | 0.662061 | + | 0.425481i | 0.828056 | − | 0.560646i | \(-0.189447\pi\) |
−0.165995 | + | 0.986127i | \(0.553084\pi\) | |||||||
\(348\) | −0.478725 | − | 3.32961i | −0.0256624 | − | 0.178486i | ||||
\(349\) | −4.91073 | − | 10.7530i | −0.262865 | − | 0.575595i | 0.731471 | − | 0.681872i | \(-0.238834\pi\) |
−0.994337 | + | 0.106278i | \(0.966107\pi\) | |||||||
\(350\) | −3.55742 | − | 1.04455i | −0.190152 | − | 0.0558336i | ||||
\(351\) | 3.39468 | − | 7.43331i | 0.181195 | − | 0.396761i | ||||
\(352\) | −5.42335 | + | 6.25888i | −0.289065 | + | 0.333599i | ||||
\(353\) | 1.38530 | − | 9.63498i | 0.0737321 | − | 0.512818i | −0.919168 | − | 0.393866i | \(-0.871137\pi\) |
0.992900 | − | 0.118952i | \(-0.0379535\pi\) | |||||||
\(354\) | −10.7700 | + | 3.16236i | −0.572420 | + | 0.168078i | ||||
\(355\) | −1.85425 | − | 2.13992i | −0.0984133 | − | 0.113575i | ||||
\(356\) | −3.81925 | + | 2.45448i | −0.202420 | + | 0.130087i | ||||
\(357\) | −5.77990 | + | 3.71452i | −0.305905 | + | 0.196593i | ||||
\(358\) | −4.85290 | − | 5.60054i | −0.256484 | − | 0.295998i | ||||
\(359\) | 20.2194 | − | 5.93694i | 1.06714 | − | 0.313340i | 0.299416 | − | 0.954123i | \(-0.403208\pi\) |
0.767722 | + | 0.640783i | \(0.221390\pi\) | |||||||
\(360\) | −0.708228 | + | 4.92584i | −0.0373269 | + | 0.259614i | ||||
\(361\) | 10.2829 | − | 11.8671i | 0.541206 | − | 0.624585i | ||||
\(362\) | 1.78326 | − | 3.90479i | 0.0937258 | − | 0.205231i | ||||
\(363\) | 3.28583 | + | 0.964808i | 0.172462 | + | 0.0506393i | ||||
\(364\) | −0.636120 | − | 1.39291i | −0.0333417 | − | 0.0730082i | ||||
\(365\) | −0.298811 | − | 2.07828i | −0.0156405 | − | 0.108782i | ||||
\(366\) | 11.2735 | + | 7.24505i | 0.589277 | + | 0.378705i | ||||
\(367\) | −2.10006 | −0.109622 | −0.0548112 | − | 0.998497i | \(-0.517456\pi\) | ||||
−0.0548112 | + | 0.998497i | \(0.517456\pi\) | |||||||
\(368\) | 0.816112 | + | 22.1839i | 0.0425428 | + | 1.15642i | ||||
\(369\) | −12.5422 | −0.652923 | ||||||||
\(370\) | 8.92095 | + | 5.73314i | 0.463778 | + | 0.298052i | ||||
\(371\) | −1.74603 | − | 12.1439i | −0.0906494 | − | 0.630480i | ||||
\(372\) | 0.211072 | + | 0.462184i | 0.0109436 | + | 0.0239631i | ||||
\(373\) | −20.0752 | − | 5.89462i | −1.03946 | − | 0.305212i | −0.282906 | − | 0.959148i | \(-0.591299\pi\) |
−0.756550 | + | 0.653935i | \(0.773117\pi\) | |||||||
\(374\) | 6.98981 | − | 15.3056i | 0.361435 | − | 0.791431i | ||||
\(375\) | −0.654861 | + | 0.755750i | −0.0338169 | + | 0.0390267i | ||||
\(376\) | −1.65307 | + | 11.4973i | −0.0852504 | + | 0.592929i | ||||
\(377\) | 13.5002 | − | 3.96403i | 0.695298 | − | 0.204158i | ||||
\(378\) | −12.1398 | − | 14.0101i | −0.624404 | − | 0.720601i | ||||
\(379\) | −3.16651 | + | 2.03499i | −0.162652 | + | 0.104530i | −0.619435 | − | 0.785048i | \(-0.712638\pi\) |
0.456782 | + | 0.889578i | \(0.349002\pi\) | |||||||
\(380\) | 0.596906 | − | 0.383608i | 0.0306206 | − | 0.0196787i | ||||
\(381\) | 0.199724 | + | 0.230493i | 0.0102322 | + | 0.0118085i | ||||
\(382\) | 0.0622838 | − | 0.0182882i | 0.00318672 | − | 0.000935704i | ||||
\(383\) | −2.94122 | + | 20.4566i | −0.150289 | + | 1.04528i | 0.765446 | + | 0.643501i | \(0.222519\pi\) |
−0.915735 | + | 0.401783i | \(0.868390\pi\) | |||||||
\(384\) | −8.81578 | + | 10.1740i | −0.449879 | + | 0.519188i | ||||
\(385\) | 3.78321 | − | 8.28407i | 0.192810 | − | 0.422195i | ||||
\(386\) | −24.3220 | − | 7.14158i | −1.23796 | − | 0.363497i | ||||
\(387\) | −10.0462 | − | 21.9981i | −0.510677 | − | 1.11823i | ||||
\(388\) | 0.344999 | + | 2.39952i | 0.0175147 | + | 0.121817i | ||||
\(389\) | −31.6110 | − | 20.3152i | −1.60274 | − | 1.03002i | −0.965862 | − | 0.259059i | \(-0.916588\pi\) |
−0.636882 | − | 0.770962i | \(-0.719776\pi\) | |||||||
\(390\) | −2.52704 | −0.127962 | ||||||||
\(391\) | −4.35350 | − | 13.0335i | −0.220166 | − | 0.659133i | ||||
\(392\) | −3.11076 | −0.157117 | ||||||||
\(393\) | 18.6972 | + | 12.0160i | 0.943149 | + | 0.606125i | ||||
\(394\) | 5.14686 | + | 35.7972i | 0.259295 | + | 1.80344i | ||||
\(395\) | 5.13599 | + | 11.2463i | 0.258420 | + | 0.565860i | ||||
\(396\) | 2.84778 | + | 0.836183i | 0.143106 | + | 0.0420198i | ||||
\(397\) | 1.32511 | − | 2.90158i | 0.0665052 | − | 0.145626i | −0.873460 | − | 0.486895i | \(-0.838129\pi\) |
0.939966 | + | 0.341269i | \(0.110857\pi\) | |||||||
\(398\) | −0.133886 | + | 0.154512i | −0.00671107 | + | 0.00774499i | ||||
\(399\) | 0.619688 | − | 4.31002i | 0.0310232 | − | 0.215771i | ||||
\(400\) | 4.44130 | − | 1.30408i | 0.222065 | − | 0.0652041i | ||||
\(401\) | −4.53998 | − | 5.23942i | −0.226716 | − | 0.261644i | 0.630983 | − | 0.775797i | \(-0.282652\pi\) |
−0.857699 | + | 0.514153i | \(0.828106\pi\) | |||||||
\(402\) | 6.74994 | − | 4.33792i | 0.336656 | − | 0.216356i | ||||
\(403\) | −1.78789 | + | 1.14900i | −0.0890609 | + | 0.0572360i | ||||
\(404\) | −3.25645 | − | 3.75814i | −0.162014 | − | 0.186975i | ||||
\(405\) | 0.959493 | − | 0.281733i | 0.0476776 | − | 0.0139994i | ||||
\(406\) | 4.54251 | − | 31.5939i | 0.225441 | − | 1.56798i | ||||
\(407\) | −17.0576 | + | 19.6855i | −0.845515 | + | 0.975776i | ||||
\(408\) | 2.96170 | − | 6.48523i | 0.146626 | − | 0.321067i | ||||
\(409\) | −10.6400 | − | 3.12417i | −0.526112 | − | 0.154480i | 0.00788151 | − | 0.999969i | \(-0.497491\pi\) |
−0.533994 | + | 0.845488i | \(0.679309\pi\) | |||||||
\(410\) | 4.02803 | + | 8.82016i | 0.198930 | + | 0.435597i | ||||
\(411\) | 1.88861 | + | 13.1356i | 0.0931582 | + | 0.647929i | ||||
\(412\) | 0.166474 | + | 0.106986i | 0.00820159 | + | 0.00527084i | ||||
\(413\) | −17.4075 | −0.856566 | ||||||||
\(414\) | 13.2548 | − | 6.65266i | 0.651438 | − | 0.326960i | ||||
\(415\) | −13.6555 | −0.670321 | ||||||||
\(416\) | 2.99806 | + | 1.92674i | 0.146992 | + | 0.0944662i | ||||
\(417\) | −3.15071 | − | 21.9137i | −0.154291 | − | 1.07312i | ||||
\(418\) | 4.42991 | + | 9.70015i | 0.216674 | + | 0.474450i | ||||
\(419\) | −16.8802 | − | 4.95649i | −0.824654 | − | 0.242140i | −0.157935 | − | 0.987450i | \(-0.550484\pi\) |
−0.666719 | + | 0.745309i | \(0.732302\pi\) | |||||||
\(420\) | −0.389217 | + | 0.852267i | −0.0189919 | + | 0.0415864i | ||||
\(421\) | −10.4546 | + | 12.0652i | −0.509526 | + | 0.588024i | −0.950977 | − | 0.309261i | \(-0.899918\pi\) |
0.441451 | + | 0.897285i | \(0.354464\pi\) | |||||||
\(422\) | −5.45981 | + | 37.9738i | −0.265779 | + | 1.84854i | ||||
\(423\) | 8.95816 | − | 2.63035i | 0.435561 | − | 0.127892i | ||||
\(424\) | 8.33713 | + | 9.62156i | 0.404887 | + | 0.467264i | ||||
\(425\) | −2.41042 | + | 1.54908i | −0.116923 | + | 0.0751417i | ||||
\(426\) | −3.68308 | + | 2.36697i | −0.178446 | + | 0.114680i | ||||
\(427\) | 13.6095 | + | 15.7062i | 0.658611 | + | 0.760078i | ||||
\(428\) | 3.56952 | − | 1.04811i | 0.172539 | − | 0.0506621i | ||||
\(429\) | 0.883381 | − | 6.14405i | 0.0426500 | − | 0.296638i | ||||
\(430\) | −12.2435 | + | 14.1297i | −0.590433 | + | 0.681396i | ||||
\(431\) | 1.62218 | − | 3.55209i | 0.0781379 | − | 0.171098i | −0.866531 | − | 0.499123i | \(-0.833656\pi\) |
0.944669 | + | 0.328025i | \(0.106383\pi\) | |||||||
\(432\) | 22.2065 | + | 6.52041i | 1.06841 | + | 0.313714i | ||||
\(433\) | 16.5608 | + | 36.2631i | 0.795861 | + | 1.74269i | 0.659055 | + | 0.752094i | \(0.270956\pi\) |
0.136805 | + | 0.990598i | \(0.456316\pi\) | |||||||
\(434\) | 0.686134 | + | 4.77217i | 0.0329355 | + | 0.229071i | ||||
\(435\) | −7.24236 | − | 4.65438i | −0.347245 | − | 0.223161i | ||||
\(436\) | −3.15533 | −0.151113 | ||||||||
\(437\) | 8.04948 | + | 3.32410i | 0.385059 | + | 0.159013i | ||||
\(438\) | −3.24648 | −0.155123 | ||||||||
\(439\) | −23.3284 | − | 14.9922i | −1.11340 | − | 0.715541i | −0.151371 | − | 0.988477i | \(-0.548369\pi\) |
−0.962032 | + | 0.272936i | \(0.912005\pi\) | |||||||
\(440\) | 1.34491 | + | 9.35408i | 0.0641163 | + | 0.445938i | ||||
\(441\) | 1.03869 | + | 2.27441i | 0.0494614 | + | 0.108305i | ||||
\(442\) | −6.94737 | − | 2.03993i | −0.330453 | − | 0.0970297i | ||||
\(443\) | −12.3128 | + | 26.9613i | −0.585000 | + | 1.28097i | 0.353417 | + | 0.935466i | \(0.385020\pi\) |
−0.938417 | + | 0.345505i | \(0.887708\pi\) | |||||||
\(444\) | 1.75489 | − | 2.02525i | 0.0832834 | − | 0.0961142i | ||||
\(445\) | −1.65356 | + | 11.5007i | −0.0783860 | + | 0.545187i | ||||
\(446\) | −29.9966 | + | 8.80781i | −1.42038 | + | 0.417062i | ||||
\(447\) | 14.8187 | + | 17.1017i | 0.700901 | + | 0.808883i | ||||
\(448\) | −11.8734 | + | 7.63057i | −0.560966 | + | 0.360511i | ||||
\(449\) | 13.0579 | − | 8.39181i | 0.616241 | − | 0.396034i | −0.194952 | − | 0.980813i | \(-0.562455\pi\) |
0.811193 | + | 0.584779i | \(0.198819\pi\) | |||||||
\(450\) | −2.02509 | − | 2.33708i | −0.0954637 | − | 0.110171i | ||||
\(451\) | −22.8527 | + | 6.71017i | −1.07609 | + | 0.315969i | ||||
\(452\) | 0.196717 | − | 1.36819i | 0.00925277 | − | 0.0643545i | ||||
\(453\) | 1.31207 | − | 1.51421i | 0.0616463 | − | 0.0711436i | ||||
\(454\) | 8.10842 | − | 17.7550i | 0.380547 | − | 0.833281i | ||||
\(455\) | −3.76024 | − | 1.10411i | −0.176283 | − | 0.0517613i | ||||
\(456\) | 1.87703 | + | 4.11012i | 0.0879000 | + | 0.192474i | ||||
\(457\) | −0.0952955 | − | 0.662795i | −0.00445774 | − | 0.0310042i | 0.987471 | − | 0.157800i | \(-0.0504400\pi\) |
−0.991929 | + | 0.126795i | \(0.959531\pi\) | |||||||
\(458\) | −22.8497 | − | 14.6846i | −1.06770 | − | 0.686168i | ||||
\(459\) | −14.3264 | −0.668698 | ||||||||
\(460\) | −1.46036 | − | 1.17425i | −0.0680895 | − | 0.0547497i | ||||
\(461\) | 18.1826 | 0.846846 | 0.423423 | − | 0.905932i | \(-0.360828\pi\) | ||||
0.423423 | + | 0.905932i | \(0.360828\pi\) | |||||||
\(462\) | −11.8460 | − | 7.61295i | −0.551125 | − | 0.354186i | ||||
\(463\) | 2.00963 | + | 13.9773i | 0.0933955 | + | 0.649580i | 0.981715 | + | 0.190355i | \(0.0609638\pi\) |
−0.888320 | + | 0.459225i | \(0.848127\pi\) | |||||||
\(464\) | 16.5540 | + | 36.2482i | 0.768501 | + | 1.68278i | ||||
\(465\) | 1.24769 | + | 0.366356i | 0.0578604 | + | 0.0169893i | ||||
\(466\) | −4.40243 | + | 9.63998i | −0.203939 | + | 0.446563i | ||||
\(467\) | −5.38591 | + | 6.21568i | −0.249230 | + | 0.287627i | −0.866555 | − | 0.499081i | \(-0.833671\pi\) |
0.617325 | + | 0.786708i | \(0.288216\pi\) | |||||||
\(468\) | 0.181765 | − | 1.26420i | 0.00840208 | − | 0.0584378i | ||||
\(469\) | 11.9392 | − | 3.50567i | 0.551302 | − | 0.161877i | ||||
\(470\) | −4.72674 | − | 5.45495i | −0.218028 | − | 0.251618i | ||||
\(471\) | −5.39440 | + | 3.46677i | −0.248561 | + | 0.159740i | ||||
\(472\) | 15.1960 | − | 9.76587i | 0.699452 | − | 0.449511i | ||||
\(473\) | −30.0739 | − | 34.7072i | −1.38280 | − | 1.59584i | ||||
\(474\) | 18.3421 | − | 5.38573i | 0.842482 | − | 0.247375i | ||||
\(475\) | 0.258432 | − | 1.79743i | 0.0118577 | − | 0.0824719i | ||||
\(476\) | −1.75803 | + | 2.02887i | −0.0805790 | + | 0.0929931i | ||||
\(477\) | 4.25096 | − | 9.30830i | 0.194638 | − | 0.426198i | ||||
\(478\) | 13.0136 | + | 3.82113i | 0.595227 | + | 0.174775i | ||||
\(479\) | −0.394315 | − | 0.863430i | −0.0180167 | − | 0.0394511i | 0.900410 | − | 0.435043i | \(-0.143267\pi\) |
−0.918426 | + | 0.395592i | \(0.870540\pi\) | |||||||
\(480\) | −0.310326 | − | 2.15836i | −0.0141644 | − | 0.0985153i | ||||
\(481\) | 9.42957 | + | 6.06002i | 0.429951 | + | 0.276313i | ||||
\(482\) | 15.7075 | 0.715455 | ||||||||
\(483\) | −11.3149 | + | 2.05396i | −0.514846 | + | 0.0934584i | ||||
\(484\) | 1.33809 | 0.0608225 | ||||||||
\(485\) | 5.21930 | + | 3.35424i | 0.236996 | + | 0.152308i | ||||
\(486\) | −3.52076 | − | 24.4874i | −0.159705 | − | 1.11077i | ||||
\(487\) | −5.19851 | − | 11.3832i | −0.235567 | − | 0.515820i | 0.754520 | − | 0.656277i | \(-0.227870\pi\) |
−0.990087 | + | 0.140458i | \(0.955143\pi\) | |||||||
\(488\) | −20.6920 | − | 6.07571i | −0.936682 | − | 0.275035i | ||||
\(489\) | −2.76738 | + | 6.05971i | −0.125145 | + | 0.274030i | ||||
\(490\) | 1.26587 | − | 1.46089i | 0.0571861 | − | 0.0659963i | ||||
\(491\) | −4.19660 | + | 29.1880i | −0.189390 | + | 1.31724i | 0.644202 | + | 0.764855i | \(0.277190\pi\) |
−0.833592 | + | 0.552381i | \(0.813720\pi\) | |||||||
\(492\) | 2.35109 | − | 0.690343i | 0.105995 | − | 0.0311231i | ||||
\(493\) | −16.1536 | − | 18.6422i | −0.727520 | − | 0.839603i | ||||
\(494\) | 3.86043 | − | 2.48095i | 0.173689 | − | 0.111623i | ||||
\(495\) | 6.39011 | − | 4.10667i | 0.287214 | − | 0.184581i | ||||
\(496\) | −3.94170 | − | 4.54896i | −0.176987 | − | 0.204254i | ||||
\(497\) | −6.51460 | + | 1.91286i | −0.292220 | + | 0.0858034i | ||||
\(498\) | −3.00485 | + | 20.8992i | −0.134650 | + | 0.936515i | ||||
\(499\) | 8.18657 | − | 9.44781i | 0.366481 | − | 0.422942i | −0.542319 | − | 0.840172i | \(-0.682454\pi\) |
0.908801 | + | 0.417230i | \(0.136999\pi\) | |||||||
\(500\) | −0.162317 | + | 0.355426i | −0.00725905 | + | 0.0158951i | ||||
\(501\) | −4.00780 | − | 1.17680i | −0.179055 | − | 0.0525754i | ||||
\(502\) | −8.07405 | − | 17.6797i | −0.360363 | − | 0.789084i | ||||
\(503\) | 0.273285 | + | 1.90074i | 0.0121852 | + | 0.0847497i | 0.995007 | − | 0.0998095i | \(-0.0318233\pi\) |
−0.982821 | + | 0.184559i | \(0.940914\pi\) | |||||||
\(504\) | 10.0387 | + | 6.45147i | 0.447159 | + | 0.287372i | ||||
\(505\) | −12.7266 | −0.566327 | ||||||||
\(506\) | 20.5919 | − | 19.2129i | 0.915420 | − | 0.854119i | ||||
\(507\) | 10.3289 | 0.458722 | ||||||||
\(508\) | 0.100251 | + | 0.0644277i | 0.00444794 | + | 0.00285852i | ||||
\(509\) | −5.15255 | − | 35.8368i | −0.228383 | − | 1.58844i | −0.704923 | − | 0.709284i | \(-0.749018\pi\) |
0.476540 | − | 0.879153i | \(-0.341891\pi\) | |||||||
\(510\) | 1.84041 | + | 4.02993i | 0.0814947 | + | 0.178448i | ||||
\(511\) | −4.83076 | − | 1.41844i | −0.213700 | − | 0.0627481i | ||||
\(512\) | 5.37622 | − | 11.7723i | 0.237598 | − | 0.520266i | ||||
\(513\) | 5.94586 | − | 6.86189i | 0.262516 | − | 0.302960i | ||||
\(514\) | −6.98143 | + | 48.5569i | −0.307938 | + | 2.14175i | ||||
\(515\) | 0.485936 | − | 0.142684i | 0.0214129 | − | 0.00628739i | ||||
\(516\) | 3.09401 | + | 3.57068i | 0.136206 | + | 0.157190i | ||||
\(517\) | 14.9151 | − | 9.58533i | 0.655963 | − | 0.421562i | ||||
\(518\) | 21.3913 | − | 13.7474i | 0.939881 | − | 0.604025i | ||||
\(519\) | −16.1983 | − | 18.6938i | −0.711027 | − | 0.820568i | ||||
\(520\) | 3.90195 | − | 1.14572i | 0.171112 | − | 0.0502430i | ||||
\(521\) | 1.23847 | − | 8.61372i | 0.0542582 | − | 0.377374i | −0.944542 | − | 0.328392i | \(-0.893493\pi\) |
0.998800 | − | 0.0489818i | \(-0.0155976\pi\) | |||||||
\(522\) | 17.4340 | − | 20.1199i | 0.763067 | − | 0.880626i | ||||
\(523\) | 4.68026 | − | 10.2483i | 0.204654 | − | 0.448129i | −0.779277 | − | 0.626680i | \(-0.784414\pi\) |
0.983931 | + | 0.178551i | \(0.0571408\pi\) | |||||||
\(524\) | 8.33249 | + | 2.44664i | 0.364006 | + | 0.106882i | ||||
\(525\) | 0.996114 | + | 2.18119i | 0.0434740 | + | 0.0951948i | ||||
\(526\) | 3.34587 | + | 23.2711i | 0.145887 | + | 1.01467i | ||||
\(527\) | 3.13444 | + | 2.01438i | 0.136538 | + | 0.0877478i | ||||
\(528\) | 17.5800 | 0.765072 | ||||||||
\(529\) | 1.59161 | − | 22.9449i | 0.0692006 | − | 0.997603i | ||||
\(530\) | −7.91116 | −0.343639 | ||||||||
\(531\) | −12.2142 | − | 7.84960i | −0.530052 | − | 0.340644i | ||||
\(532\) | −0.242134 | − | 1.68408i | −0.0104978 | − | 0.0730141i | ||||
\(533\) | 4.25769 | + | 9.32304i | 0.184421 | + | 0.403826i | ||||
\(534\) | 17.2376 | + | 5.06141i | 0.745943 | + | 0.219029i | ||||
\(535\) | 3.95519 | − | 8.66066i | 0.170998 | − | 0.374433i | ||||
\(536\) | −8.45570 | + | 9.75839i | −0.365230 | + | 0.421498i | ||||
\(537\) | −0.682082 | + | 4.74399i | −0.0294340 | + | 0.204718i | ||||
\(538\) | 33.7389 | − | 9.90663i | 1.45459 | − | 0.427105i | ||||
\(539\) | 3.10938 | + | 3.58842i | 0.133931 | + | 0.154564i | ||||
\(540\) | −1.64354 | + | 1.05624i | −0.0707266 | + | 0.0454532i | ||||
\(541\) | −15.6463 | + | 10.0553i | −0.672688 | + | 0.432311i | −0.831894 | − | 0.554935i | \(-0.812743\pi\) |
0.159205 | + | 0.987245i | \(0.449107\pi\) | |||||||
\(542\) | −22.8338 | − | 26.3517i | −0.980797 | − | 1.13190i | ||||
\(543\) | −2.66384 | + | 0.782173i | −0.114316 | + | 0.0335662i | ||||
\(544\) | 0.889168 | − | 6.18430i | 0.0381228 | − | 0.265150i | ||||
\(545\) | −5.28823 | + | 6.10294i | −0.226523 | + | 0.261421i | ||||
\(546\) | −2.51722 | + | 5.51195i | −0.107727 | + | 0.235890i | ||||
\(547\) | 9.61453 | + | 2.82308i | 0.411088 | + | 0.120706i | 0.480736 | − | 0.876865i | \(-0.340370\pi\) |
−0.0696483 | + | 0.997572i | \(0.522188\pi\) | |||||||
\(548\) | 2.15406 | + | 4.71672i | 0.0920167 | + | 0.201488i | ||||
\(549\) | 2.46688 | + | 17.1575i | 0.105284 | + | 0.732264i | ||||
\(550\) | −4.94019 | − | 3.17487i | −0.210650 | − | 0.135377i | ||||
\(551\) | 15.6332 | 0.665999 | ||||||||
\(552\) | 8.72513 | − | 8.14086i | 0.371366 | − | 0.346498i | ||||
\(553\) | 29.6462 | 1.26068 | ||||||||
\(554\) | 3.33918 | + | 2.14596i | 0.141868 | + | 0.0911731i | ||||
\(555\) | −0.976042 | − | 6.78852i | −0.0414307 | − | 0.288157i | ||||
\(556\) | −3.59355 | − | 7.86878i | −0.152401 | − | 0.333711i | ||||
\(557\) | 15.7921 | + | 4.63697i | 0.669131 | + | 0.196475i | 0.598616 | − | 0.801036i | \(-0.295717\pi\) |
0.0705153 | + | 0.997511i | \(0.477536\pi\) | |||||||
\(558\) | −1.67049 | + | 3.65786i | −0.0707175 | + | 0.154850i | ||||
\(559\) | −12.9415 | + | 14.9353i | −0.547368 | + | 0.631697i | ||||
\(560\) | 1.57959 | − | 10.9863i | 0.0667500 | − | 0.464256i | ||||
\(561\) | −10.4414 | + | 3.06588i | −0.440837 | + | 0.129441i | ||||
\(562\) | −27.2797 | − | 31.4825i | −1.15073 | − | 1.32801i | ||||
\(563\) | 5.62436 | − | 3.61456i | 0.237039 | − | 0.152335i | −0.416729 | − | 0.909031i | \(-0.636824\pi\) |
0.653768 | + | 0.756695i | \(0.273187\pi\) | |||||||
\(564\) | −1.53446 | + | 0.986140i | −0.0646126 | + | 0.0415240i | ||||
\(565\) | −2.31663 | − | 2.67354i | −0.0974614 | − | 0.112476i | ||||
\(566\) | −3.71594 | + | 1.09110i | −0.156193 | + | 0.0458623i | ||||
\(567\) | 0.341254 | − | 2.37347i | 0.0143313 | − | 0.0996764i | ||||
\(568\) | 4.61382 | − | 5.32464i | 0.193592 | − | 0.223417i | ||||
\(569\) | −9.29438 | + | 20.3518i | −0.389641 | + | 0.853194i | 0.608576 | + | 0.793496i | \(0.291741\pi\) |
−0.998216 | + | 0.0596982i | \(0.980986\pi\) | |||||||
\(570\) | −2.69404 | − | 0.791041i | −0.112841 | − | 0.0331330i | ||||
\(571\) | −16.5325 | − | 36.2012i | −0.691864 | − | 1.51497i | −0.849565 | − | 0.527484i | \(-0.823135\pi\) |
0.157701 | − | 0.987487i | \(-0.449592\pi\) | |||||||
\(572\) | −0.345168 | − | 2.40070i | −0.0144322 | − | 0.100378i | ||||
\(573\) | −0.0353179 | − | 0.0226974i | −0.00147542 | − | 0.000948198i | ||||
\(574\) | 23.2508 | 0.970469 | ||||||||
\(575\) | −4.71872 | + | 0.856574i | −0.196784 | + | 0.0357216i | ||||
\(576\) | −11.7720 | −0.490501 | ||||||||
\(577\) | 31.3403 | + | 20.1412i | 1.30472 | + | 0.838490i | 0.993717 | − | 0.111920i | \(-0.0357002\pi\) |
0.310999 | + | 0.950410i | \(0.399337\pi\) | |||||||
\(578\) | −1.93426 | − | 13.4531i | −0.0804545 | − | 0.559574i | ||||
\(579\) | 6.81042 | + | 14.9127i | 0.283031 | + | 0.619752i | ||||
\(580\) | −3.22759 | − | 0.947705i | −0.134018 | − | 0.0393513i | ||||
\(581\) | −13.6024 | + | 29.7851i | −0.564323 | + | 1.23570i | ||||
\(582\) | 6.28203 | − | 7.24985i | 0.260399 | − | 0.300516i | ||||
\(583\) | 2.76551 | − | 19.2346i | 0.114536 | − | 0.796615i | ||||
\(584\) | 5.01282 | − | 1.47190i | 0.207432 | − | 0.0609075i | ||||
\(585\) | −2.14055 | − | 2.47033i | −0.0885009 | − | 0.102135i | ||||
\(586\) | −25.5706 | + | 16.4333i | −1.05631 | + | 0.678852i | ||||
\(587\) | −18.4513 | + | 11.8579i | −0.761566 | + | 0.489429i | −0.862869 | − | 0.505427i | \(-0.831335\pi\) |
0.101304 | + | 0.994856i | \(0.467699\pi\) | |||||||
\(588\) | −0.319894 | − | 0.369177i | −0.0131922 | − | 0.0152246i | ||||
\(589\) | −2.26571 | + | 0.665272i | −0.0933569 | + | 0.0274120i | ||||
\(590\) | −1.59744 | + | 11.1104i | −0.0657656 | + | 0.457410i | ||||
\(591\) | 15.3171 | − | 17.6768i | 0.630060 | − | 0.727128i | ||||
\(592\) | −13.1877 | + | 28.8770i | −0.542011 | + | 1.18684i | ||||
\(593\) | 1.99058 | + | 0.584486i | 0.0817431 | + | 0.0240020i | 0.322348 | − | 0.946621i | \(-0.395528\pi\) |
−0.240605 | + | 0.970623i | \(0.577346\pi\) | |||||||
\(594\) | −12.1975 | − | 26.7087i | −0.500468 | − | 1.09587i | ||||
\(595\) | 0.977785 | + | 6.80065i | 0.0400853 | + | 0.278799i | ||||
\(596\) | 7.43826 | + | 4.78028i | 0.304683 | + | 0.195808i | ||||
\(597\) | 0.132227 | 0.00541168 | ||||||||
\(598\) | −9.44471 | − | 7.59435i | −0.386223 | − | 0.310556i | ||||
\(599\) | 9.26542 | 0.378575 | 0.189287 | − | 0.981922i | \(-0.439382\pi\) | ||||
0.189287 | + | 0.981922i | \(0.439382\pi\) | |||||||
\(600\) | −2.09325 | − | 1.34525i | −0.0854564 | − | 0.0549195i | ||||
\(601\) | 4.28647 | + | 29.8130i | 0.174849 | + | 1.21610i | 0.868463 | + | 0.495753i | \(0.165108\pi\) |
−0.693615 | + | 0.720346i | \(0.743983\pi\) | |||||||
\(602\) | 18.6237 | + | 40.7801i | 0.759043 | + | 1.66207i | ||||
\(603\) | 9.95816 | + | 2.92398i | 0.405528 | + | 0.119074i | ||||
\(604\) | 0.325216 | − | 0.712124i | 0.0132329 | − | 0.0289759i | ||||
\(605\) | 2.24260 | − | 2.58810i | 0.0911748 | − | 0.105221i | ||||
\(606\) | −2.80046 | + | 19.4776i | −0.113761 | + | 0.791223i | ||||
\(607\) | 27.8553 | − | 8.17906i | 1.13061 | − | 0.331978i | 0.337664 | − | 0.941267i | \(-0.390363\pi\) |
0.792949 | + | 0.609289i | \(0.208545\pi\) | |||||||
\(608\) | 2.59306 | + | 2.99255i | 0.105162 | + | 0.121364i | ||||
\(609\) | −17.3663 | + | 11.1606i | −0.703718 | + | 0.452252i | ||||
\(610\) | 11.2735 | − | 7.24505i | 0.456452 | − | 0.293344i | ||||
\(611\) | −4.99623 | − | 5.76596i | −0.202126 | − | 0.233266i | ||||
\(612\) | −2.14843 | + | 0.630836i | −0.0868451 | + | 0.0255000i | ||||
\(613\) | −4.07218 | + | 28.3226i | −0.164474 | + | 1.14394i | 0.725597 | + | 0.688119i | \(0.241563\pi\) |
−0.890071 | + | 0.455821i | \(0.849346\pi\) | |||||||
\(614\) | 6.39191 | − | 7.37665i | 0.257956 | − | 0.297697i | ||||
\(615\) | 2.60512 | − | 5.70441i | 0.105048 | − | 0.230024i | ||||
\(616\) | 21.7427 | + | 6.38423i | 0.876038 | + | 0.257228i | ||||
\(617\) | 3.36621 | + | 7.37096i | 0.135518 | + | 0.296744i | 0.965209 | − | 0.261480i | \(-0.0842105\pi\) |
−0.829691 | + | 0.558223i | \(0.811483\pi\) | |||||||
\(618\) | −0.111443 | − | 0.775104i | −0.00448290 | − | 0.0311792i | ||||
\(619\) | 25.1807 | + | 16.1826i | 1.01210 | + | 0.650435i | 0.937935 | − | 0.346811i | \(-0.112736\pi\) |
0.0741618 | + | 0.997246i | \(0.476372\pi\) | |||||||
\(620\) | 0.508100 | 0.0204058 | ||||||||
\(621\) | −22.1637 | − | 9.15267i | −0.889398 | − | 0.367284i | ||||
\(622\) | 36.5462 | 1.46537 | ||||||||
\(623\) | 23.4381 | + | 15.0628i | 0.939028 | + | 0.603476i | ||||
\(624\) | −1.07663 | − | 7.48810i | −0.0430996 | − | 0.299764i | ||||
\(625\) | 0.415415 | + | 0.909632i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | −46.4955 | − | 13.6523i | −1.85833 | − | 0.545656i | ||||
\(627\) | 2.86503 | − | 6.27354i | 0.114418 | − | 0.250541i | ||||
\(628\) | −1.64077 | + | 1.89355i | −0.0654740 | + | 0.0755610i | ||||
\(629\) | 2.79663 | − | 19.4510i | 0.111509 | − | 0.775562i | ||||
\(630\) | −7.11483 | + | 2.08910i | −0.283462 | + | 0.0832318i | ||||
\(631\) | −5.37867 | − | 6.20731i | −0.214121 | − | 0.247109i | 0.638521 | − | 0.769605i | \(-0.279547\pi\) |
−0.852642 | + | 0.522495i | \(0.825001\pi\) | |||||||
\(632\) | −25.8799 | + | 16.6320i | −1.02945 | + | 0.661585i | ||||
\(633\) | 20.8732 | − | 13.4144i | 0.829634 | − | 0.533174i | ||||
\(634\) | 7.04553 | + | 8.13098i | 0.279814 | + | 0.322922i | ||||
\(635\) | 0.292632 | − | 0.0859247i | 0.0116128 | − | 0.00340982i | ||||
\(636\) | −0.284517 | + | 1.97886i | −0.0112818 | + | 0.0784668i | ||||
\(637\) | 1.33804 | − | 1.54418i | 0.0530151 | − | 0.0611827i | ||||
\(638\) | 21.0016 | − | 45.9871i | 0.831461 | − | 1.82065i | ||||
\(639\) | −5.43364 | − | 1.59546i | −0.214951 | − | 0.0631154i | ||||
\(640\) | 5.59235 | + | 12.2455i | 0.221057 | + | 0.484047i | ||||
\(641\) | −1.44375 | − | 10.0415i | −0.0570248 | − | 0.396616i | −0.998265 | − | 0.0588787i | \(-0.981247\pi\) |
0.941240 | − | 0.337737i | \(-0.109662\pi\) | |||||||
\(642\) | −12.3845 | − | 7.95902i | −0.488777 | − | 0.314118i | ||||
\(643\) | −39.0668 | −1.54065 | −0.770323 | − | 0.637654i | \(-0.779905\pi\) | ||||
−0.770323 | + | 0.637654i | \(0.779905\pi\) | |||||||
\(644\) | −4.01594 | + | 2.01562i | −0.158250 | + | 0.0794267i | ||||
\(645\) | 12.0918 | 0.476113 | ||||||||
\(646\) | −6.76792 | − | 4.34948i | −0.266280 | − | 0.171128i | ||||
\(647\) | −0.578678 | − | 4.02479i | −0.0227502 | − | 0.158231i | 0.975279 | − | 0.220975i | \(-0.0709239\pi\) |
−0.998030 | + | 0.0627440i | \(0.980015\pi\) | |||||||
\(648\) | 1.03365 | + | 2.26339i | 0.0406058 | + | 0.0889143i | ||||
\(649\) | −26.4546 | − | 7.76778i | −1.03844 | − | 0.304912i | ||||
\(650\) | −1.04977 | + | 2.29868i | −0.0411754 | + | 0.0901616i | ||||
\(651\) | 2.04194 | − | 2.35652i | 0.0800298 | − | 0.0923593i | ||||
\(652\) | −0.370441 | + | 2.57647i | −0.0145076 | + | 0.100903i | ||||
\(653\) | 28.5978 | − | 8.39708i | 1.11912 | − | 0.328603i | 0.330697 | − | 0.943737i | \(-0.392716\pi\) |
0.788423 | + | 0.615134i | \(0.210898\pi\) | |||||||
\(654\) | 8.17666 | + | 9.43637i | 0.319733 | + | 0.368991i | ||||
\(655\) | 18.6972 | − | 12.0160i | 0.730560 | − | 0.469503i | ||||
\(656\) | −24.4197 | + | 15.6936i | −0.953429 | + | 0.612731i | ||||
\(657\) | −2.74996 | − | 3.17362i | −0.107286 | − | 0.123815i | ||||
\(658\) | −16.6066 | + | 4.87615i | −0.647394 | + | 0.190092i | ||||
\(659\) | 1.11615 | − | 7.76299i | 0.0434790 | − | 0.302403i | −0.956465 | − | 0.291846i | \(-0.905730\pi\) |
0.999944 | − | 0.0105569i | \(-0.00336043\pi\) | |||||||
\(660\) | −0.971814 | + | 1.12153i | −0.0378278 | + | 0.0436556i | ||||
\(661\) | −17.9335 | + | 39.2688i | −0.697531 | + | 1.52738i | 0.145408 | + | 0.989372i | \(0.453551\pi\) |
−0.842939 | + | 0.538009i | \(0.819177\pi\) | |||||||
\(662\) | −31.6097 | − | 9.28145i | −1.22855 | − | 0.360734i | ||||
\(663\) | 1.94534 | + | 4.25970i | 0.0755507 | + | 0.165433i | ||||
\(664\) | −4.83560 | − | 33.6323i | −0.187658 | − | 1.30519i | ||||
\(665\) | −3.66311 | − | 2.35414i | −0.142049 | − | 0.0912895i | ||||
\(666\) | 21.2087 | 0.821820 | ||||||||
\(667\) | −13.0805 | − | 39.1605i | −0.506480 | − | 1.51630i | ||||
\(668\) | −1.63210 | −0.0631479 | ||||||||
\(669\) | 17.0095 | + | 10.9314i | 0.657626 | + | 0.422630i | ||||
\(670\) | −1.14189 | − | 7.94200i | −0.0441149 | − | 0.306826i | ||||
\(671\) | 13.6742 | + | 29.9422i | 0.527885 | + | 1.15591i | ||||
\(672\) | −5.01691 | − | 1.47310i | −0.193531 | − | 0.0568260i | ||||
\(673\) | 2.12649 | − | 4.65636i | 0.0819701 | − | 0.179489i | −0.864209 | − | 0.503133i | \(-0.832181\pi\) |
0.946179 | + | 0.323644i | \(0.104908\pi\) | |||||||
\(674\) | −19.4296 | + | 22.4230i | −0.748401 | + | 0.863701i | ||||
\(675\) | −0.711574 | + | 4.94911i | −0.0273885 | + | 0.190491i | ||||
\(676\) | 3.87238 | − | 1.13703i | 0.148938 | − | 0.0437320i | ||||
\(677\) | 18.3071 | + | 21.1275i | 0.703598 | + | 0.811995i | 0.989234 | − | 0.146343i | \(-0.0467503\pi\) |
−0.285636 | + | 0.958338i | \(0.592205\pi\) | |||||||
\(678\) | −4.60151 | + | 2.95721i | −0.176720 | + | 0.113571i | ||||
\(679\) | 12.5152 | − | 8.04306i | 0.480291 | − | 0.308664i | ||||
\(680\) | −4.66884 | − | 5.38812i | −0.179042 | − | 0.206625i | ||||
\(681\) | −12.1124 | + | 3.55652i | −0.464148 | + | 0.136286i | ||||
\(682\) | −1.08676 | + | 7.55858i | −0.0416142 | + | 0.289433i | ||||
\(683\) | −9.95826 | + | 11.4924i | −0.381042 | + | 0.439746i | −0.913579 | − | 0.406660i | \(-0.866693\pi\) |
0.532537 | + | 0.846407i | \(0.321239\pi\) | |||||||
\(684\) | 0.589510 | − | 1.29085i | 0.0225405 | − | 0.0493567i | ||||
\(685\) | 12.7331 | + | 3.73877i | 0.486506 | + | 0.142851i | ||||
\(686\) | −12.7069 | − | 27.8242i | −0.485151 | − | 1.06233i | ||||
\(687\) | 2.49999 | + | 17.3878i | 0.0953807 | + | 0.663387i | ||||
\(688\) | −47.0853 | − | 30.2599i | −1.79511 | − | 1.15365i | ||||
\(689\) | −8.36221 | −0.318575 | ||||||||
\(690\) | 0.272613 | + | 7.41030i | 0.0103782 | + | 0.282105i | ||||
\(691\) | 11.0471 | 0.420251 | 0.210126 | − | 0.977674i | \(-0.432613\pi\) | ||||
0.210126 | + | 0.977674i | \(0.432613\pi\) | |||||||
\(692\) | −8.13075 | − | 5.22531i | −0.309085 | − | 0.198637i | ||||
\(693\) | −2.59214 | − | 18.0287i | −0.0984672 | − | 0.684855i | ||||
\(694\) | −9.41637 | − | 20.6190i | −0.357441 | − | 0.782686i | ||||
\(695\) | −21.2423 | − | 6.23729i | −0.805765 | − | 0.236594i | ||||
\(696\) | 8.89874 | − | 19.4855i | 0.337306 | − | 0.738597i | ||||
\(697\) | 11.7669 | − | 13.5797i | 0.445701 | − | 0.514367i | ||||
\(698\) | −2.60124 | + | 18.0920i | −0.0984583 | + | 0.684792i | ||||
\(699\) | 6.57637 | − | 1.93100i | 0.248741 | − | 0.0730370i | ||||
\(700\) | 0.613563 | + | 0.708089i | 0.0231905 | + | 0.0267632i | ||||
\(701\) | 31.4181 | − | 20.1912i | 1.18664 | − | 0.762610i | 0.210048 | − | 0.977691i | \(-0.432638\pi\) |
0.976596 | + | 0.215082i | \(0.0690018\pi\) | |||||||
\(702\) | −10.6294 | + | 6.83111i | −0.401181 | + | 0.257824i | ||||
\(703\) | 8.15574 | + | 9.41222i | 0.307599 | + | 0.354989i | ||||
\(704\) | −21.4494 | + | 6.29810i | −0.808403 | + | 0.237369i | ||||
\(705\) | −0.664350 | + | 4.62066i | −0.0250209 | + | 0.174024i | ||||
\(706\) | −9.85618 | + | 11.3746i | −0.370942 | + | 0.428090i | ||||
\(707\) | −12.6772 | + | 27.7591i | −0.476774 | + | 1.04399i | ||||
\(708\) | 2.72166 | + | 0.799151i | 0.102286 | + | 0.0300339i | ||||
\(709\) | 8.09489 | + | 17.7253i | 0.304010 | + | 0.665689i | 0.998554 | − | 0.0537614i | \(-0.0171210\pi\) |
−0.694544 | + | 0.719450i | \(0.744394\pi\) | |||||||
\(710\) | 0.623067 | + | 4.33353i | 0.0233833 | + | 0.162634i | ||||
\(711\) | 20.8017 | + | 13.3684i | 0.780125 | + | 0.501356i | ||||
\(712\) | −28.9109 | −1.08348 | ||||||||
\(713\) | 3.56222 | + | 5.11885i | 0.133406 | + | 0.191702i | ||||
\(714\) | 10.6233 | 0.397567 | ||||||||
\(715\) | −5.22185 | − | 3.35588i | −0.195286 | − | 0.125503i | ||||
\(716\) | 0.266514 | + | 1.85364i | 0.00996009 | + | 0.0692739i | ||||
\(717\) | −3.64394 | − | 7.97912i | −0.136086 | − | 0.297986i | ||||
\(718\) | −31.2632 | − | 9.17971i | −1.16673 | − | 0.342584i | ||||
\(719\) | 0.529568 | − | 1.15959i | 0.0197496 | − | 0.0432455i | −0.899500 | − | 0.436920i | \(-0.856069\pi\) |
0.919250 | + | 0.393675i | \(0.128796\pi\) | |||||||
\(720\) | 6.06243 | − | 6.99642i | 0.225934 | − | 0.260741i | ||||
\(721\) | 0.172828 | − | 1.20205i | 0.00643645 | − | 0.0447665i | ||||
\(722\) | −23.2957 | + | 6.84022i | −0.866974 | + | 0.254567i | ||||
\(723\) | −6.65256 | − | 7.67747i | −0.247412 | − | 0.285528i | ||||
\(724\) | −0.912589 | + | 0.586486i | −0.0339161 | + | 0.0217966i | ||||
\(725\) | −7.24236 | + | 4.65438i | −0.268974 | + | 0.172859i | ||||
\(726\) | −3.46752 | − | 4.00173i | −0.128692 | − | 0.148518i | ||||
\(727\) | 27.5119 | − | 8.07821i | 1.02036 | − | 0.299604i | 0.271574 | − | 0.962418i | \(-0.412456\pi\) |
0.748785 | + | 0.662813i | \(0.230638\pi\) | |||||||
\(728\) | 1.38777 | − | 9.65214i | 0.0514341 | − | 0.357732i | ||||
\(729\) | −8.51319 | + | 9.82474i | −0.315303 | + | 0.363879i | ||||
\(730\) | −1.34864 | + | 2.95310i | −0.0499152 | + | 0.109299i | ||||
\(731\) | 33.2428 | + | 9.76098i | 1.22953 | + | 0.361023i | ||||
\(732\) | −1.40680 | − | 3.08046i | −0.0519968 | − | 0.113857i | ||||
\(733\) | 1.11204 | + | 7.73438i | 0.0410740 | + | 0.285676i | 0.999998 | + | 0.00201276i | \(0.000640680\pi\) |
−0.958924 | + | 0.283663i | \(0.908450\pi\) | |||||||
\(734\) | 2.73165 | + | 1.75552i | 0.100827 | + | 0.0647976i | ||||
\(735\) | −1.25018 | −0.0461137 | ||||||||
\(736\) | 5.32655 | − | 8.99938i | 0.196339 | − | 0.331722i | ||||
\(737\) | 19.7087 | 0.725980 | ||||||||
\(738\) | 16.3143 | + | 10.4845i | 0.600537 | + | 0.385942i | ||||
\(739\) | −1.47513 | − | 10.2597i | −0.0542634 | − | 0.377410i | −0.998799 | − | 0.0490005i | \(-0.984396\pi\) |
0.944535 | − | 0.328410i | \(-0.106513\pi\) | |||||||
\(740\) | −1.11323 | − | 2.43763i | −0.0409230 | − | 0.0896089i | ||||
\(741\) | −2.84764 | − | 0.836141i | −0.104611 | − | 0.0307164i | ||||
\(742\) | −7.88042 | + | 17.2557i | −0.289299 | + | 0.633477i | ||||
\(743\) | 6.39542 | − | 7.38071i | 0.234625 | − | 0.270772i | −0.626211 | − | 0.779653i | \(-0.715395\pi\) |
0.860837 | + | 0.508881i | \(0.169941\pi\) | |||||||
\(744\) | −0.460479 | + | 3.20270i | −0.0168820 | + | 0.117417i | ||||
\(745\) | 21.7122 | − | 6.37527i | 0.795473 | − | 0.233572i | ||||
\(746\) | 21.1853 | + | 24.4491i | 0.775647 | + | 0.895145i | ||||
\(747\) | −22.9754 | + | 14.7654i | −0.840627 | + | 0.540238i | ||||
\(748\) | −3.57707 | + | 2.29884i | −0.130791 | + | 0.0840540i | ||||
\(749\) | −14.9507 | − | 17.2540i | −0.546286 | − | 0.630448i | ||||
\(750\) | 1.48357 | − | 0.435615i | 0.0541723 | − | 0.0159064i | ||||
\(751\) | 1.23883 | − | 8.61624i | 0.0452055 | − | 0.314411i | −0.954655 | − | 0.297714i | \(-0.903776\pi\) |
0.999861 | − | 0.0166971i | \(-0.00531510\pi\) | |||||||
\(752\) | 14.1502 | − | 16.3303i | 0.516006 | − | 0.595503i | ||||
\(753\) | −5.22187 | + | 11.4343i | −0.190295 | + | 0.416689i | ||||
\(754\) | −20.8741 | − | 6.12918i | −0.760189 | − | 0.223212i | ||||
\(755\) | −0.832318 | − | 1.82252i | −0.0302912 | − | 0.0663284i | ||||
\(756\) | 0.666699 | + | 4.63700i | 0.0242476 | + | 0.168646i | ||||
\(757\) | −4.16337 | − | 2.67564i | −0.151320 | − | 0.0972476i | 0.462790 | − | 0.886468i | \(-0.346849\pi\) |
−0.614110 | + | 0.789220i | \(0.710485\pi\) | |||||||
\(758\) | 5.81995 | 0.211390 | ||||||||
\(759\) | −18.1121 | − | 1.92762i | −0.657428 | − | 0.0699681i | ||||
\(760\) | 4.51845 | 0.163901 | ||||||||
\(761\) | 24.5583 | + | 15.7826i | 0.890236 | + | 0.572120i | 0.903880 | − | 0.427787i | \(-0.140707\pi\) |
−0.0136435 | + | 0.999907i | \(0.504343\pi\) | |||||||
\(762\) | −0.0671115 | − | 0.466770i | −0.00243119 | − | 0.0169093i | ||||
\(763\) | 8.04397 | + | 17.6138i | 0.291211 | + | 0.637664i | ||||
\(764\) | −0.0157395 | − | 0.00462155i | −0.000569437 | − | 0.000167202i | ||||
\(765\) | −2.38056 | + | 5.21269i | −0.0860692 | + | 0.188465i | ||||
\(766\) | 20.9263 | − | 24.1502i | 0.756096 | − | 0.872582i | ||||
\(767\) | −1.68852 | + | 11.7439i | −0.0609689 | + | 0.424048i | ||||
\(768\) | 8.67672 | − | 2.54772i | 0.313094 | − | 0.0919328i | ||||
\(769\) | −14.2646 | − | 16.4622i | −0.514395 | − | 0.593644i | 0.437823 | − | 0.899061i | \(-0.355750\pi\) |
−0.952219 | + | 0.305417i | \(0.901204\pi\) | |||||||
\(770\) | −11.8460 | + | 7.61295i | −0.426899 | + | 0.274352i | ||||
\(771\) | 26.6904 | − | 17.1529i | 0.961232 | − | 0.617746i | ||||
\(772\) | 4.19492 | + | 4.84119i | 0.150978 | + | 0.174238i | ||||
\(773\) | −10.8333 | + | 3.18094i | −0.389647 | + | 0.114411i | −0.470687 | − | 0.882300i | \(-0.655994\pi\) |
0.0810404 | + | 0.996711i | \(0.474176\pi\) | |||||||
\(774\) | −5.32152 | + | 37.0120i | −0.191278 | + | 1.33037i | ||||
\(775\) | 0.851560 | − | 0.982752i | 0.0305889 | − | 0.0353015i | ||||
\(776\) | −6.41299 | + | 14.0425i | −0.230213 | + | 0.504096i | ||||
\(777\) | −15.7793 | − | 4.63321i | −0.566078 | − | 0.166216i | ||||
\(778\) | 24.1357 | + | 52.8498i | 0.865307 | + | 1.89476i | ||||
\(779\) | 1.62066 | + | 11.2719i | 0.0580661 | + | 0.403858i | ||||
\(780\) | 0.537225 | + | 0.345254i | 0.0192358 | + | 0.0123621i | ||||
\(781\) | −10.7540 | −0.384808 | ||||||||
\(782\) | −5.23243 | + | 20.5926i | −0.187111 | + | 0.736388i | ||||
\(783\) | −43.0450 | −1.53830 | ||||||||
\(784\) | 4.86821 | + | 3.12861i | 0.173865 | + | 0.111736i | ||||
\(785\) | 0.912571 | + | 6.34707i | 0.0325711 | + | 0.226537i | ||||
\(786\) | −14.2757 | − | 31.2595i | −0.509198 | − | 1.11499i | ||||
\(787\) | −15.4652 | − | 4.54099i | −0.551275 | − | 0.161869i | −0.00578022 | − | 0.999983i | \(-0.501840\pi\) |
−0.545494 | + | 0.838114i | \(0.683658\pi\) | |||||||
\(788\) | 3.79657 | − | 8.31333i | 0.135247 | − | 0.296150i | ||||
\(789\) | 9.95732 | − | 11.4914i | 0.354490 | − | 0.409103i | ||||
\(790\) | 2.72056 | − | 18.9219i | 0.0967931 | − | 0.673211i | ||||
\(791\) | −8.13911 | + | 2.38986i | −0.289393 | + | 0.0849736i | ||||
\(792\) | 12.3772 | + | 14.2841i | 0.439806 | + | 0.507563i | ||||
\(793\) | 11.9163 | − | 7.65813i | 0.423159 | − | 0.271948i | ||||
\(794\) | −4.14917 | + | 2.66651i | −0.147249 | + | 0.0946309i | ||||
\(795\) | 3.35061 | + | 3.86681i | 0.118834 | + | 0.137142i | ||||
\(796\) | 0.0495728 | − | 0.0145559i | 0.00175706 | − | 0.000515920i | ||||
\(797\) | 2.76646 | − | 19.2411i | 0.0979929 | − | 0.681556i | −0.880313 | − | 0.474393i | \(-0.842668\pi\) |
0.978306 | − | 0.207163i | \(-0.0664232\pi\) | |||||||
\(798\) | −4.40897 | + | 5.08823i | −0.156076 | + | 0.180121i | ||||
\(799\) | −5.55643 | + | 12.1669i | −0.196572 | + | 0.430433i | ||||
\(800\) | −2.09223 | − | 0.614334i | −0.0739715 | − | 0.0217200i | ||||
\(801\) | 9.65341 | + | 21.1380i | 0.341086 | + | 0.746875i | ||||
\(802\) | 1.52553 | + | 10.6103i | 0.0538684 | + | 0.374663i | ||||
\(803\) | −6.70849 | − | 4.31128i | −0.236737 | − | 0.152142i | ||||
\(804\) | −2.02764 | −0.0715092 | ||||||||
\(805\) | −2.83203 | + | 11.1456i | −0.0998161 | + | 0.392832i | ||||
\(806\) | 3.28608 | 0.115747 | ||||||||
\(807\) | −19.1316 | − | 12.2951i | −0.673463 | − | 0.432808i | ||||
\(808\) | −4.50667 | − | 31.3446i | −0.158544 | − | 1.10270i | ||||
\(809\) | −5.60048 | − | 12.2633i | −0.196902 | − | 0.431156i | 0.785266 | − | 0.619158i | \(-0.212526\pi\) |
−0.982169 | + | 0.188002i | \(0.939799\pi\) | |||||||
\(810\) | −1.48357 | − | 0.435615i | −0.0521273 | − | 0.0153060i | ||||
\(811\) | 20.5360 | − | 44.9675i | 0.721115 | − | 1.57902i | −0.0912201 | − | 0.995831i | \(-0.529077\pi\) |
0.812335 | − | 0.583191i | \(-0.198196\pi\) | |||||||
\(812\) | −5.28217 | + | 6.09594i | −0.185368 | + | 0.213926i | ||||
\(813\) | −3.20933 | + | 22.3214i | −0.112556 | + | 0.782845i | ||||
\(814\) | 38.6436 | − | 11.3468i | 1.35446 | − | 0.397704i | ||||
\(815\) | 4.36250 | + | 5.03459i | 0.152812 | + | 0.176354i | ||||
\(816\) | −11.1574 | + | 7.17040i | −0.390586 | + | 0.251014i | ||||
\(817\) | −18.4719 | + | 11.8712i | −0.646252 | + | 0.415321i | ||||
\(818\) | 11.2283 | + | 12.9581i | 0.392587 | + | 0.453070i | ||||
\(819\) | −7.52048 | + | 2.20821i | −0.262787 | + | 0.0771612i | ||||
\(820\) | 0.348721 | − | 2.42541i | 0.0121779 | − | 0.0846989i | ||||
\(821\) | 12.1749 | − | 14.0506i | 0.424907 | − | 0.490369i | −0.502419 | − | 0.864624i | \(-0.667556\pi\) |
0.927325 | + | 0.374256i | \(0.122102\pi\) | |||||||
\(822\) | 8.52393 | − | 18.6648i | 0.297306 | − | 0.651010i | ||||
\(823\) | −25.8876 | − | 7.60129i | −0.902386 | − | 0.264964i | −0.202553 | − | 0.979271i | \(-0.564924\pi\) |
−0.699833 | + | 0.714307i | \(0.746742\pi\) | |||||||
\(824\) | 0.523495 | + | 1.14629i | 0.0182368 | + | 0.0399330i | ||||
\(825\) | 0.540507 | + | 3.75931i | 0.0188180 | + | 0.130882i | ||||
\(826\) | 22.6427 | + | 14.5516i | 0.787841 | + | 0.506315i | ||||
\(827\) | 18.8339 | 0.654919 | 0.327460 | − | 0.944865i | \(-0.393807\pi\) | ||||
0.327460 | + | 0.944865i | \(0.393807\pi\) | |||||||
\(828\) | −3.72676 | − | 0.396627i | −0.129514 | − | 0.0137838i | ||||
\(829\) | 37.2107 | 1.29238 | 0.646191 | − | 0.763176i | \(-0.276361\pi\) | ||||
0.646191 | + | 0.763176i | \(0.276361\pi\) | |||||||
\(830\) | 17.7623 | + | 11.4151i | 0.616539 | + | 0.396225i | ||||
\(831\) | −0.365340 | − | 2.54099i | −0.0126735 | − | 0.0881461i | ||||
\(832\) | 3.99623 | + | 8.75052i | 0.138544 | + | 0.303370i | ||||
\(833\) | −3.43702 | − | 1.00920i | −0.119086 | − | 0.0349667i | ||||
\(834\) | −14.2202 | + | 31.1380i | −0.492407 | + | 1.07822i | ||||
\(835\) | −2.73535 | + | 3.15676i | −0.0946607 | + | 0.109244i | ||||
\(836\) | 0.383513 | − | 2.66739i | 0.0132641 | − | 0.0922537i | ||||
\(837\) | 6.23847 | − | 1.83178i | 0.215633 | − | 0.0633156i | ||||
\(838\) | 17.8136 | + | 20.5580i | 0.615361 | + | 0.710164i | ||||
\(839\) | −15.7729 | + | 10.1366i | −0.544541 | + | 0.349955i | −0.783812 | − | 0.620998i | \(-0.786728\pi\) |
0.239272 | + | 0.970953i | \(0.423091\pi\) | |||||||
\(840\) | −5.01935 | + | 3.22574i | −0.173184 | + | 0.111299i | ||||
\(841\) | −29.5441 | − | 34.0957i | −1.01876 | − | 1.17571i | ||||
\(842\) | 23.6846 | − | 6.95442i | 0.816225 | − | 0.239665i | ||||
\(843\) | −3.83421 | + | 26.6675i | −0.132057 | + | 0.918477i | ||||
\(844\) | 6.34883 | − | 7.32694i | 0.218536 | − | 0.252204i | ||||
\(845\) | 4.29077 | − | 9.39548i | 0.147607 | − | 0.323214i | ||||
\(846\) | −13.8511 | − | 4.06705i | −0.476211 | − | 0.139828i | ||||
\(847\) | −3.41124 | − | 7.46958i | −0.117212 | − | 0.256658i | ||||
\(848\) | −3.37049 | − | 23.4423i | −0.115743 | − | 0.805011i | ||||
\(849\) | 2.10711 | + | 1.35416i | 0.0723160 | + | 0.0464747i | ||||
\(850\) | 4.43029 | 0.151958 | ||||||||
\(851\) | 16.7532 | − | 28.3050i | 0.574291 | − | 0.970284i | ||||
\(852\) | 1.10637 | 0.0379037 | ||||||||
\(853\) | −16.9808 | − | 10.9129i | −0.581411 | − | 0.373650i | 0.216630 | − | 0.976254i | \(-0.430494\pi\) |
−0.798041 | + | 0.602604i | \(0.794130\pi\) | |||||||
\(854\) | −4.57309 | − | 31.8066i | −0.156488 | − | 1.08840i | ||||
\(855\) | −1.50872 | − | 3.30363i | −0.0515971 | − | 0.112982i | ||||
\(856\) | 22.7311 | + | 6.67445i | 0.776933 | + | 0.228128i | ||||
\(857\) | −1.99977 | + | 4.37889i | −0.0683110 | + | 0.149580i | −0.940708 | − | 0.339218i | \(-0.889837\pi\) |
0.872397 | + | 0.488799i | \(0.162565\pi\) | |||||||
\(858\) | −6.28511 | + | 7.25340i | −0.214570 | + | 0.247627i | ||||
\(859\) | 1.88417 | − | 13.1047i | 0.0642871 | − | 0.447126i | −0.932100 | − | 0.362200i | \(-0.882026\pi\) |
0.996387 | − | 0.0849258i | \(-0.0270653\pi\) | |||||||
\(860\) | 4.53330 | − | 1.33110i | 0.154584 | − | 0.0453900i | ||||
\(861\) | −9.84739 | − | 11.3645i | −0.335598 | − | 0.387301i | ||||
\(862\) | −5.07938 | + | 3.26432i | −0.173004 | + | 0.111183i | ||||
\(863\) | 5.77633 | − | 3.71222i | 0.196629 | − | 0.126366i | −0.438622 | − | 0.898672i | \(-0.644533\pi\) |
0.635250 | + | 0.772306i | \(0.280897\pi\) | |||||||
\(864\) | −7.13980 | − | 8.23977i | −0.242901 | − | 0.280323i | ||||
\(865\) | −23.7335 | + | 6.96879i | −0.806964 | + | 0.236946i | ||||
\(866\) | 8.77233 | − | 61.0129i | 0.298096 | − | 2.07330i | ||||
\(867\) | −5.75635 | + | 6.64319i | −0.195496 | + | 0.225614i | ||||
\(868\) | 0.506125 | − | 1.10826i | 0.0171790 | − | 0.0376168i | ||||
\(869\) | 45.0542 | + | 13.2291i | 1.52836 | + | 0.448767i | ||||
\(870\) | 5.52969 | + | 12.1083i | 0.187474 | + | 0.410511i | ||||
\(871\) | −1.20699 | − | 8.39481i | −0.0408973 | − | 0.284447i | ||||
\(872\) | −16.9037 | − | 10.8633i | −0.572431 | − | 0.367879i | ||||
\(873\) | 12.4084 | 0.419960 | ||||||||
\(874\) | −7.69159 | − | 11.0527i | −0.260172 | − | 0.373863i | ||||
\(875\) | 2.39788 | 0.0810631 | ||||||||
\(876\) | 0.690171 | + | 0.443546i | 0.0233187 | + | 0.0149860i | ||||
\(877\) | 0.342014 | + | 2.37876i | 0.0115490 | + | 0.0803251i | 0.994781 | − | 0.102035i | \(-0.0325354\pi\) |
−0.983232 | + | 0.182360i | \(0.941626\pi\) | |||||||
\(878\) | 17.8117 | + | 39.0022i | 0.601116 | + | 1.31626i | ||||
\(879\) | 18.8621 | + | 5.53842i | 0.636204 | + | 0.186806i | ||||
\(880\) | 7.30300 | − | 15.9913i | 0.246184 | − | 0.539068i | ||||
\(881\) | 2.23506 | − | 2.57940i | 0.0753012 | − | 0.0869022i | −0.716849 | − | 0.697229i | \(-0.754416\pi\) |
0.792150 | + | 0.610326i | \(0.208962\pi\) | |||||||
\(882\) | 0.550199 | − | 3.82672i | 0.0185262 | − | 0.128852i | ||||
\(883\) | 2.78129 | − | 0.816661i | 0.0935979 | − | 0.0274828i | −0.234598 | − | 0.972092i | \(-0.575377\pi\) |
0.328196 | + | 0.944610i | \(0.393559\pi\) | |||||||
\(884\) | 1.19824 | + | 1.38285i | 0.0403013 | + | 0.0465102i | ||||
\(885\) | 6.10711 | − | 3.92480i | 0.205288 | − | 0.131931i | ||||
\(886\) | 38.5539 | − | 24.7771i | 1.29524 | − | 0.832402i | ||||
\(887\) | 2.67598 | + | 3.08825i | 0.0898506 | + | 0.103693i | 0.798894 | − | 0.601471i | \(-0.205419\pi\) |
−0.709044 | + | 0.705164i | \(0.750873\pi\) | |||||||
\(888\) | 16.3739 | − | 4.80782i | 0.549474 | − | 0.161340i | ||||
\(889\) | 0.104078 | − | 0.723877i | 0.00349066 | − | 0.0242780i | ||||
\(890\) | 11.7648 | − | 13.5773i | 0.394356 | − | 0.455111i | ||||
\(891\) | 1.57773 | − | 3.45475i | 0.0528560 | − | 0.115739i | ||||
\(892\) | 7.58036 | + | 2.22579i | 0.253809 | + | 0.0745251i | ||||
\(893\) | −3.52148 | − | 7.71096i | −0.117842 | − | 0.258037i | ||||
\(894\) | −4.97941 | − | 34.6325i | −0.166536 | − | 1.15828i | ||||
\(895\) | 4.03193 | + | 2.59117i | 0.134773 | + | 0.0866131i | ||||
\(896\) | 32.2804 | 1.07841 | ||||||||
\(897\) | 0.288156 | + | 7.83280i | 0.00962126 | + | 0.261530i | ||||
\(898\) | −24.0001 | −0.800893 | ||||||||
\(899\) | 9.41773 | + | 6.05241i | 0.314099 | + | 0.201859i | ||||
\(900\) | 0.111215 | + | 0.773517i | 0.00370716 | + | 0.0257839i | ||||
\(901\) | 6.09008 | + | 13.3354i | 0.202890 | + | 0.444267i | ||||
\(902\) | 35.3349 | + | 10.3753i | 1.17652 | + | 0.345458i | ||||
\(903\) | 12.0448 | − | 26.3744i | 0.400825 | − | 0.877685i | ||||
\(904\) | 5.76435 | − | 6.65241i | 0.191719 | − | 0.221256i | ||||
\(905\) | −0.395108 | + | 2.74804i | −0.0131338 | + | 0.0913478i | ||||
\(906\) | −2.97245 | + | 0.872790i | −0.0987531 | + | 0.0289965i | ||||
\(907\) | 0.749866 | + | 0.865391i | 0.0248989 | + | 0.0287348i | 0.768062 | − | 0.640375i | \(-0.221221\pi\) |
−0.743164 | + | 0.669110i | \(0.766676\pi\) | |||||||
\(908\) | −4.14952 | + | 2.66674i | −0.137707 | + | 0.0884987i | ||||
\(909\) | −21.4126 | + | 13.7610i | −0.710211 | + | 0.456425i | ||||
\(910\) | 3.96815 | + | 4.57949i | 0.131543 | + | 0.151809i | ||||
\(911\) | 11.6713 | − | 3.42700i | 0.386687 | − | 0.113542i | −0.0826098 | − | 0.996582i | \(-0.526326\pi\) |
0.469297 | + | 0.883040i | \(0.344507\pi\) | |||||||
\(912\) | 1.19623 | − | 8.31995i | 0.0396111 | − | 0.275501i | ||||
\(913\) | −33.9631 | + | 39.1955i | −1.12401 | + | 1.29718i | ||||
\(914\) | −0.430101 | + | 0.941790i | −0.0142265 | + | 0.0311516i | ||||
\(915\) | −8.31589 | − | 2.44177i | −0.274915 | − | 0.0807223i | ||||
\(916\) | 2.85137 | + | 6.24363i | 0.0942119 | + | 0.206295i | ||||
\(917\) | −7.58450 | − | 52.7514i | −0.250462 | − | 1.74200i | ||||
\(918\) | 18.6350 | + | 11.9760i | 0.615046 | + | 0.395266i | ||||
\(919\) | −44.9964 | −1.48429 | −0.742147 | − | 0.670237i | \(-0.766192\pi\) | ||||
−0.742147 | + | 0.670237i | \(0.766192\pi\) | |||||||
\(920\) | −3.78064 | − | 11.3185i | −0.124644 | − | 0.373160i | ||||
\(921\) | −6.31271 | −0.208011 | ||||||||
\(922\) | −23.6509 | − | 15.1995i | −0.778901 | − | 0.500569i | ||||
\(923\) | 0.658591 | + | 4.58060i | 0.0216778 | + | 0.150772i | ||||
\(924\) | 1.47823 | + | 3.23688i | 0.0486303 | + | 0.106486i | ||||
\(925\) | −6.58052 | − | 1.93221i | −0.216366 | − | 0.0635308i | ||||
\(926\) | 9.07015 | − | 19.8608i | 0.298063 | − | 0.652668i | ||||
\(927\) | 0.663309 | − | 0.765500i | 0.0217859 | − | 0.0251423i | ||||
\(928\) | 2.67160 | − | 18.5814i | 0.0876994 | − | 0.609963i | ||||
\(929\) | −48.6600 | + | 14.2879i | −1.59648 | + | 0.468770i | −0.954565 | − | 0.298003i | \(-0.903679\pi\) |
−0.641918 | + | 0.766773i | \(0.721861\pi\) | |||||||
\(930\) | −1.31668 | − | 1.51953i | −0.0431757 | − | 0.0498274i | ||||
\(931\) | 1.90984 | − | 1.22738i | 0.0625924 | − | 0.0402257i | ||||
\(932\) | 2.25296 | − | 1.44789i | 0.0737983 | − | 0.0474273i | ||||
\(933\) | −15.4784 | − | 17.8630i | −0.506740 | − | 0.584809i | ||||
\(934\) | 12.2016 | − | 3.58272i | 0.399250 | − | 0.117230i | ||||
\(935\) | −1.54870 | + | 10.7715i | −0.0506480 | + | 0.352264i | ||||
\(936\) | 5.32622 | − | 6.14678i | 0.174093 | − | 0.200914i | ||||
\(937\) | −12.8876 | + | 28.2200i | −0.421020 | + | 0.921906i | 0.573679 | + | 0.819080i | \(0.305516\pi\) |
−0.994699 | + | 0.102826i | \(0.967212\pi\) | |||||||
\(938\) | −18.4604 | − | 5.42047i | −0.602754 | − | 0.176985i | ||||
\(939\) | 13.0192 | + | 28.5081i | 0.424867 | + | 0.930328i | ||||
\(940\) | 0.259585 | + | 1.80545i | 0.00846674 | + | 0.0588874i | ||||
\(941\) | −3.61091 | − | 2.32059i | −0.117712 | − | 0.0756491i | 0.480460 | − | 0.877017i | \(-0.340470\pi\) |
−0.598172 | + | 0.801368i | \(0.704106\pi\) | |||||||
\(942\) | 9.91476 | 0.323040 | ||||||||
\(943\) | 26.8796 | − | 13.4910i | 0.875320 | − | 0.439328i | ||||
\(944\) | −33.6029 | −1.09368 | ||||||||
\(945\) | 10.0861 | + | 6.48195i | 0.328101 | + | 0.210858i | ||||
\(946\) | 10.1055 | + | 70.2852i | 0.328558 | + | 2.28517i | ||||
\(947\) | −17.0788 | − | 37.3974i | −0.554988 | − | 1.21525i | −0.954413 | − | 0.298488i | \(-0.903518\pi\) |
0.399426 | − | 0.916765i | \(-0.369209\pi\) | |||||||
\(948\) | −4.63518 | − | 1.36101i | −0.150544 | − | 0.0442036i | ||||
\(949\) | −1.42553 | + | 3.12147i | −0.0462746 | + | 0.101327i | ||||
\(950\) | −1.83870 | + | 2.12197i | −0.0596553 | + | 0.0688459i | ||||
\(951\) | 0.990260 | − | 6.88741i | 0.0321114 | − | 0.223340i | ||||
\(952\) | −16.4032 | + | 4.81641i | −0.531631 | + | 0.156101i | ||||
\(953\) | 5.56361 | + | 6.42075i | 0.180223 | + | 0.207989i | 0.838672 | − | 0.544637i | \(-0.183333\pi\) |
−0.658449 | + | 0.752626i | \(0.728787\pi\) | |||||||
\(954\) | −13.3106 | + | 8.55420i | −0.430946 | + | 0.276952i | ||||
\(955\) | −0.0353179 | + | 0.0226974i | −0.00114286 | + | 0.000734471i | ||||
\(956\) | −2.24451 | − | 2.59030i | −0.0725926 | − | 0.0837763i | ||||
\(957\) | −31.3723 | + | 9.21173i | −1.01412 | + | 0.297773i | ||||
\(958\) | −0.208871 | + | 1.45273i | −0.00674830 | + | 0.0469355i | ||||
\(959\) | 20.8386 | − | 24.0490i | 0.672912 | − | 0.776582i | ||||
\(960\) | 2.44514 | − | 5.35411i | 0.0789165 | − | 0.172803i | ||||
\(961\) | 28.1218 | + | 8.25731i | 0.907156 | + | 0.266365i | ||||
\(962\) | −7.19968 | − | 15.7651i | −0.232127 | − | 0.508287i | ||||
\(963\) | −2.70998 | − | 18.8483i | −0.0873277 | − | 0.607378i | ||||
\(964\) | −3.33926 | − | 2.14601i | −0.107550 | − | 0.0691183i | ||||
\(965\) | 16.3942 | 0.527749 | ||||||||
\(966\) | 16.4348 | + | 6.78689i | 0.528781 | + | 0.218365i | ||||
\(967\) | −56.7552 | −1.82513 | −0.912563 | − | 0.408937i | \(-0.865900\pi\) | ||||
−0.912563 | + | 0.408937i | \(0.865900\pi\) | |||||||
\(968\) | 7.16843 | + | 4.60687i | 0.230402 | + | 0.148070i | ||||
\(969\) | 0.740479 | + | 5.15014i | 0.0237876 | + | 0.165446i | ||||
\(970\) | −3.98505 | − | 8.72603i | −0.127952 | − | 0.280176i | ||||
\(971\) | 1.07211 | + | 0.314801i | 0.0344057 | + | 0.0101024i | 0.298890 | − | 0.954288i | \(-0.403384\pi\) |
−0.264484 | + | 0.964390i | \(0.585202\pi\) | |||||||
\(972\) | −2.59708 | + | 5.68681i | −0.0833013 | + | 0.182404i | ||||
\(973\) | −34.7644 | + | 40.1203i | −1.11450 | + | 1.28620i | ||||
\(974\) | −2.75368 | + | 19.1522i | −0.0882335 | + | 0.613677i | ||||
\(975\) | 1.56815 | − | 0.460451i | 0.0502211 | − | 0.0147462i | ||||
\(976\) | 26.2715 | + | 30.3189i | 0.840929 | + | 0.970483i | ||||
\(977\) | 1.88221 | − | 1.20962i | 0.0602172 | − | 0.0386992i | −0.510186 | − | 0.860064i | \(-0.670423\pi\) |
0.570403 | + | 0.821365i | \(0.306787\pi\) | |||||||
\(978\) | 8.66520 | − | 5.56879i | 0.277083 | − | 0.178070i | ||||
\(979\) | 28.8981 | + | 33.3501i | 0.923586 | + | 1.06587i | ||||
\(980\) | −0.468704 | + | 0.137624i | −0.0149722 | + | 0.00439623i | ||||
\(981\) | −2.29848 | + | 15.9863i | −0.0733849 | + | 0.510403i | ||||
\(982\) | 29.8581 | − | 34.4581i | 0.952810 | − | 1.09960i | ||||
\(983\) | 7.45879 | − | 16.3325i | 0.237898 | − | 0.520925i | −0.752595 | − | 0.658483i | \(-0.771198\pi\) |
0.990494 | + | 0.137559i | \(0.0439255\pi\) | |||||||
\(984\) | 14.9720 | + | 4.39618i | 0.477290 | + | 0.140145i | ||||
\(985\) | −9.71647 | − | 21.2761i | −0.309593 | − | 0.677913i | ||||
\(986\) | 5.42795 | + | 37.7522i | 0.172861 | + | 1.20227i | ||||
\(987\) | 9.41674 | + | 6.05177i | 0.299738 | + | 0.192630i | ||||
\(988\) | −1.15965 | −0.0368933 | ||||||||
\(989\) | 45.1925 | + | 36.3386i | 1.43704 | + | 1.15550i | ||||
\(990\) | −11.7448 | −0.373275 | ||||||||
\(991\) | −46.3210 | − | 29.7687i | −1.47144 | − | 0.945635i | −0.997894 | − | 0.0648634i | \(-0.979339\pi\) |
−0.473542 | − | 0.880771i | \(-0.657025\pi\) | |||||||
\(992\) | 0.403537 | + | 2.80666i | 0.0128123 | + | 0.0891117i | ||||
\(993\) | 8.85106 | + | 19.3811i | 0.280880 | + | 0.615041i | ||||
\(994\) | 10.0729 | + | 2.95766i | 0.319492 | + | 0.0938114i | ||||
\(995\) | 0.0549289 | − | 0.120278i | 0.00174136 | − | 0.00381306i | ||||
\(996\) | 3.49413 | − | 4.03244i | 0.110716 | − | 0.127773i | ||||
\(997\) | −7.94653 | + | 55.2693i | −0.251669 | + | 1.75040i | 0.336523 | + | 0.941675i | \(0.390749\pi\) |
−0.588192 | + | 0.808721i | \(0.700160\pi\) | |||||||
\(998\) | −18.5465 | + | 5.44573i | −0.587078 | + | 0.172382i | ||||
\(999\) | −22.4563 | − | 25.9159i | −0.710484 | − | 0.819943i |
(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 | 115.2.g.a.71.1 | ✓ | 10 | |
5.2 | odd | 4 | 575.2.p.a.324.2 | 20 | |||
5.3 | odd | 4 | 575.2.p.a.324.1 | 20 | |||
5.4 | even | 2 | 575.2.k.a.301.1 | 10 | |||
23.9 | even | 11 | 2645.2.a.n.1.2 | 5 | |||
23.12 | even | 11 | inner | 115.2.g.a.81.1 | yes | 10 | |
23.14 | odd | 22 | 2645.2.a.o.1.2 | 5 | |||
115.12 | odd | 44 | 575.2.p.a.449.1 | 20 | |||
115.58 | odd | 44 | 575.2.p.a.449.2 | 20 | |||
115.104 | even | 22 | 575.2.k.a.426.1 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.g.a.71.1 | ✓ | 10 | 1.1 | even | 1 | trivial | |
115.2.g.a.81.1 | yes | 10 | 23.12 | even | 11 | inner | |
575.2.k.a.301.1 | 10 | 5.4 | even | 2 | |||
575.2.k.a.426.1 | 10 | 115.104 | even | 22 | |||
575.2.p.a.324.1 | 20 | 5.3 | odd | 4 | |||
575.2.p.a.324.2 | 20 | 5.2 | odd | 4 | |||
575.2.p.a.449.1 | 20 | 115.12 | odd | 44 | |||
575.2.p.a.449.2 | 20 | 115.58 | odd | 44 | |||
2645.2.a.n.1.2 | 5 | 23.9 | even | 11 | |||
2645.2.a.o.1.2 | 5 | 23.14 | odd | 22 |