Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(29,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, 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("322.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.i (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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 9 x^{19} + 41 x^{18} - 119 x^{17} + 245 x^{16} - 404 x^{15} + 623 x^{14} - 898 x^{13} + \cdots + 1 \) |
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 | 141.1 | ||
Root | \(1.45482 + 0.934959i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 322.141 |
Dual form | 322.2.i.c.169.1 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | − | 0.989821i | −0.100632 | − | 0.699909i | ||||
\(3\) | −1.13381 | + | 2.48271i | −0.654608 | + | 1.43339i | 0.232854 | + | 0.972512i | \(0.425193\pi\) |
−0.887462 | + | 0.460880i | \(0.847534\pi\) | |||||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | −2.36481 | + | 2.72913i | −1.05757 | + | 1.22051i | −0.0829739 | + | 0.996552i | \(0.526442\pi\) |
−0.974600 | + | 0.223953i | \(0.928104\pi\) | |||||||
\(6\) | 2.61880 | + | 0.768948i | 1.06912 | + | 0.313922i | ||||
\(7\) | 0.841254 | − | 0.540641i | 0.317964 | − | 0.204343i | ||||
\(8\) | 0.415415 | + | 0.909632i | 0.146871 | + | 0.321603i | ||||
\(9\) | −2.91372 | − | 3.36261i | −0.971239 | − | 1.12087i | ||||
\(10\) | 3.03790 | + | 1.95234i | 0.960669 | + | 0.617384i | ||||
\(11\) | 0.471909 | − | 3.28220i | 0.142286 | − | 0.989619i | −0.786126 | − | 0.618066i | \(-0.787916\pi\) |
0.928412 | − | 0.371553i | \(-0.121175\pi\) | |||||||
\(12\) | 0.388428 | − | 2.70157i | 0.112129 | − | 0.779877i | ||||
\(13\) | −4.79116 | − | 3.07909i | −1.32883 | − | 0.853986i | −0.332797 | − | 0.942998i | \(-0.607993\pi\) |
−0.996031 | + | 0.0890126i | \(0.971629\pi\) | |||||||
\(14\) | −0.654861 | − | 0.755750i | −0.175019 | − | 0.201983i | ||||
\(15\) | −4.09439 | − | 8.96545i | −1.05717 | − | 2.31487i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | 4.13709 | + | 1.21476i | 1.00339 | + | 0.294622i | 0.741847 | − | 0.670570i | \(-0.233950\pi\) |
0.261544 | + | 0.965192i | \(0.415768\pi\) | |||||||
\(18\) | −2.91372 | + | 3.36261i | −0.686770 | + | 0.792575i | ||||
\(19\) | −4.49676 | + | 1.32037i | −1.03163 | + | 0.302913i | −0.753373 | − | 0.657594i | \(-0.771574\pi\) |
−0.278256 | + | 0.960507i | \(0.589756\pi\) | |||||||
\(20\) | 1.50013 | − | 3.28483i | 0.335439 | − | 0.734510i | ||||
\(21\) | 0.388428 | + | 2.70157i | 0.0847618 | + | 0.589531i | ||||
\(22\) | −3.31595 | −0.706962 | ||||||||
\(23\) | −4.09468 | + | 2.49671i | −0.853800 | + | 0.520601i | ||||
\(24\) | −2.72935 | −0.557127 | ||||||||
\(25\) | −1.14428 | − | 7.95863i | −0.228856 | − | 1.59173i | ||||
\(26\) | −2.36590 | + | 5.18059i | −0.463990 | + | 1.01600i | ||||
\(27\) | 3.79561 | − | 1.11449i | 0.730465 | − | 0.214484i | ||||
\(28\) | −0.654861 | + | 0.755750i | −0.123757 | + | 0.142823i | ||||
\(29\) | 4.68606 | + | 1.37595i | 0.870180 | + | 0.255508i | 0.686192 | − | 0.727421i | \(-0.259281\pi\) |
0.183988 | + | 0.982928i | \(0.441099\pi\) | |||||||
\(30\) | −8.29151 | + | 5.32863i | −1.51381 | + | 0.972870i | ||||
\(31\) | 0.704600 | + | 1.54286i | 0.126550 | + | 0.277106i | 0.962293 | − | 0.272015i | \(-0.0876900\pi\) |
−0.835743 | + | 0.549121i | \(0.814963\pi\) | |||||||
\(32\) | −0.654861 | − | 0.755750i | −0.115764 | − | 0.133599i | ||||
\(33\) | 7.61368 | + | 4.89301i | 1.32537 | + | 0.851764i | ||||
\(34\) | 0.613625 | − | 4.26785i | 0.105236 | − | 0.731931i | ||||
\(35\) | −0.513922 | + | 3.57440i | −0.0868686 | + | 0.604184i | ||||
\(36\) | 3.74305 | + | 2.40551i | 0.623841 | + | 0.400919i | ||||
\(37\) | −5.93203 | − | 6.84592i | −0.975219 | − | 1.12546i | −0.992080 | − | 0.125605i | \(-0.959913\pi\) |
0.0168612 | − | 0.999858i | \(-0.494633\pi\) | |||||||
\(38\) | 1.94689 | + | 4.26309i | 0.315827 | + | 0.691564i | ||||
\(39\) | 13.0768 | − | 8.40392i | 2.09396 | − | 1.34570i | ||||
\(40\) | −3.46488 | − | 1.01738i | −0.547846 | − | 0.160862i | ||||
\(41\) | −1.90857 | + | 2.20261i | −0.298069 | + | 0.343989i | −0.884952 | − | 0.465682i | \(-0.845809\pi\) |
0.586884 | + | 0.809671i | \(0.300355\pi\) | |||||||
\(42\) | 2.61880 | − | 0.768948i | 0.404089 | − | 0.118651i | ||||
\(43\) | −4.01355 | + | 8.78846i | −0.612061 | + | 1.34023i | 0.309094 | + | 0.951031i | \(0.399974\pi\) |
−0.921155 | + | 0.389195i | \(0.872753\pi\) | |||||||
\(44\) | 0.471909 | + | 3.28220i | 0.0711429 | + | 0.494810i | ||||
\(45\) | 16.0674 | 2.39518 | ||||||||
\(46\) | 3.05404 | + | 3.69768i | 0.450293 | + | 0.545194i | ||||
\(47\) | −1.64420 | −0.239832 | −0.119916 | − | 0.992784i | \(-0.538262\pi\) | ||||
−0.119916 | + | 0.992784i | \(0.538262\pi\) | |||||||
\(48\) | 0.388428 | + | 2.70157i | 0.0560647 | + | 0.389938i | ||||
\(49\) | 0.415415 | − | 0.909632i | 0.0593450 | − | 0.129947i | ||||
\(50\) | −7.71478 | + | 2.26526i | −1.09103 | + | 0.320357i | ||||
\(51\) | −7.70658 | + | 8.89386i | −1.07914 | + | 1.24539i | ||||
\(52\) | 5.46456 | + | 1.60454i | 0.757798 | + | 0.222510i | ||||
\(53\) | −5.65574 | + | 3.63472i | −0.776876 | + | 0.499268i | −0.867995 | − | 0.496572i | \(-0.834592\pi\) |
0.0911195 | + | 0.995840i | \(0.470955\pi\) | |||||||
\(54\) | −1.64332 | − | 3.59836i | −0.223627 | − | 0.489675i | ||||
\(55\) | 7.84158 | + | 9.04966i | 1.05736 | + | 1.22026i | ||||
\(56\) | 0.841254 | + | 0.540641i | 0.112417 | + | 0.0722462i | ||||
\(57\) | 1.82041 | − | 12.6612i | 0.241119 | − | 1.67702i | ||||
\(58\) | 0.695051 | − | 4.83418i | 0.0912646 | − | 0.634759i | ||||
\(59\) | −1.22113 | − | 0.784771i | −0.158977 | − | 0.102169i | 0.458733 | − | 0.888574i | \(-0.348303\pi\) |
−0.617711 | + | 0.786405i | \(0.711940\pi\) | |||||||
\(60\) | 6.45439 | + | 7.44877i | 0.833259 | + | 0.961632i | ||||
\(61\) | −3.05716 | − | 6.69425i | −0.391430 | − | 0.857112i | −0.998068 | − | 0.0621334i | \(-0.980210\pi\) |
0.606638 | − | 0.794978i | \(-0.292518\pi\) | |||||||
\(62\) | 1.42688 | − | 0.917000i | 0.181214 | − | 0.116459i | ||||
\(63\) | −4.26914 | − | 1.25353i | −0.537861 | − | 0.157930i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | 19.7334 | − | 5.79425i | 2.44763 | − | 0.718688i | ||||
\(66\) | 3.75967 | − | 8.23253i | 0.462783 | − | 1.01335i | ||||
\(67\) | 1.33512 | + | 9.28594i | 0.163110 | + | 1.13446i | 0.892726 | + | 0.450600i | \(0.148790\pi\) |
−0.729616 | + | 0.683858i | \(0.760301\pi\) | |||||||
\(68\) | −4.31174 | −0.522875 | ||||||||
\(69\) | −1.55600 | − | 12.9967i | −0.187321 | − | 1.56462i | ||||
\(70\) | 3.61116 | 0.431616 | ||||||||
\(71\) | 0.754000 | + | 5.24418i | 0.0894833 | + | 0.622370i | 0.984375 | + | 0.176086i | \(0.0563438\pi\) |
−0.894891 | + | 0.446284i | \(0.852747\pi\) | |||||||
\(72\) | 1.84834 | − | 4.04729i | 0.217828 | − | 0.476978i | ||||
\(73\) | −12.4680 | + | 3.66094i | −1.45927 | + | 0.428481i | −0.912595 | − | 0.408864i | \(-0.865925\pi\) |
−0.546675 | + | 0.837345i | \(0.684107\pi\) | |||||||
\(74\) | −5.93203 | + | 6.84592i | −0.689584 | + | 0.795822i | ||||
\(75\) | 21.0564 | + | 6.18270i | 2.43138 | + | 0.713917i | ||||
\(76\) | 3.94262 | − | 2.53377i | 0.452250 | − | 0.290643i | ||||
\(77\) | −1.37749 | − | 3.01629i | −0.156980 | − | 0.343738i | ||||
\(78\) | −10.1794 | − | 11.7477i | −1.15259 | − | 1.33016i | ||||
\(79\) | −8.52523 | − | 5.47883i | −0.959163 | − | 0.616417i | −0.0353970 | − | 0.999373i | \(-0.511270\pi\) |
−0.923766 | + | 0.382956i | \(0.874906\pi\) | |||||||
\(80\) | −0.513922 | + | 3.57440i | −0.0574582 | + | 0.399630i | ||||
\(81\) | 0.363076 | − | 2.52525i | 0.0403417 | − | 0.280583i | ||||
\(82\) | 2.45181 | + | 1.57568i | 0.270757 | + | 0.174005i | ||||
\(83\) | 8.50221 | + | 9.81207i | 0.933239 | + | 1.07702i | 0.996871 | + | 0.0790417i | \(0.0251860\pi\) |
−0.0636324 | + | 0.997973i | \(0.520269\pi\) | |||||||
\(84\) | −1.13381 | − | 2.48271i | −0.123709 | − | 0.270886i | ||||
\(85\) | −13.0986 | + | 8.41799i | −1.42075 | + | 0.913059i | ||||
\(86\) | 9.27019 | + | 2.72197i | 0.999630 | + | 0.293518i | ||||
\(87\) | −8.72921 | + | 10.0740i | −0.935870 | + | 1.08005i | ||||
\(88\) | 3.18163 | − | 0.934210i | 0.339163 | − | 0.0995872i | ||||
\(89\) | 2.46513 | − | 5.39787i | 0.261303 | − | 0.572174i | −0.732821 | − | 0.680421i | \(-0.761797\pi\) |
0.994124 | + | 0.108248i | \(0.0345240\pi\) | |||||||
\(90\) | −2.28663 | − | 15.9038i | −0.241032 | − | 1.67641i | ||||
\(91\) | −5.69526 | −0.597025 | ||||||||
\(92\) | 3.22541 | − | 3.54919i | 0.336272 | − | 0.370028i | ||||
\(93\) | −4.62935 | −0.480041 | ||||||||
\(94\) | 0.233994 | + | 1.62747i | 0.0241347 | + | 0.167860i | ||||
\(95\) | 7.03052 | − | 15.3947i | 0.721316 | − | 1.57946i | ||||
\(96\) | 2.61880 | − | 0.768948i | 0.267280 | − | 0.0784804i | ||||
\(97\) | 2.45857 | − | 2.83734i | 0.249630 | − | 0.288089i | −0.617080 | − | 0.786900i | \(-0.711685\pi\) |
0.866710 | + | 0.498812i | \(0.166230\pi\) | |||||||
\(98\) | −0.959493 | − | 0.281733i | −0.0969234 | − | 0.0284593i | ||||
\(99\) | −12.4118 | + | 7.97655i | −1.24743 | + | 0.801673i | ||||
\(100\) | 3.34013 | + | 7.31387i | 0.334013 | + | 0.731387i | ||||
\(101\) | −0.252564 | − | 0.291474i | −0.0251310 | − | 0.0290028i | 0.743045 | − | 0.669242i | \(-0.233381\pi\) |
−0.768176 | + | 0.640239i | \(0.778835\pi\) | |||||||
\(102\) | 9.90010 | + | 6.36240i | 0.980256 | + | 0.629972i | ||||
\(103\) | 0.292549 | − | 2.03473i | 0.0288258 | − | 0.200488i | −0.970319 | − | 0.241827i | \(-0.922253\pi\) |
0.999145 | + | 0.0413394i | \(0.0131625\pi\) | |||||||
\(104\) | 0.810520 | − | 5.63729i | 0.0794780 | − | 0.552782i | ||||
\(105\) | −8.29151 | − | 5.32863i | −0.809168 | − | 0.520021i | ||||
\(106\) | 4.40262 | + | 5.08090i | 0.427621 | + | 0.493501i | ||||
\(107\) | 1.90603 | + | 4.17363i | 0.184263 | + | 0.403480i | 0.979110 | − | 0.203329i | \(-0.0651762\pi\) |
−0.794847 | + | 0.606810i | \(0.792449\pi\) | |||||||
\(108\) | −3.32787 | + | 2.13869i | −0.320224 | + | 0.205796i | ||||
\(109\) | 16.5478 | + | 4.85887i | 1.58499 | + | 0.465395i | 0.951319 | − | 0.308208i | \(-0.0997293\pi\) |
0.633671 | + | 0.773603i | \(0.281547\pi\) | |||||||
\(110\) | 7.84158 | − | 9.04966i | 0.747665 | − | 0.862851i | ||||
\(111\) | 23.7222 | − | 6.96548i | 2.25162 | − | 0.661134i | ||||
\(112\) | 0.415415 | − | 0.909632i | 0.0392530 | − | 0.0859521i | ||||
\(113\) | −1.13909 | − | 7.92252i | −0.107156 | − | 0.745288i | −0.970575 | − | 0.240800i | \(-0.922590\pi\) |
0.863419 | − | 0.504488i | \(-0.168319\pi\) | |||||||
\(114\) | −12.7914 | −1.19802 | ||||||||
\(115\) | 2.86926 | − | 17.0792i | 0.267560 | − | 1.59264i | ||||
\(116\) | −4.88389 | −0.453458 | ||||||||
\(117\) | 3.60630 | + | 25.0824i | 0.333403 | + | 2.31887i | ||||
\(118\) | −0.602999 | + | 1.32038i | −0.0555106 | + | 0.121551i | ||||
\(119\) | 4.13709 | − | 1.21476i | 0.379246 | − | 0.111357i | ||||
\(120\) | 6.45439 | − | 7.44877i | 0.589203 | − | 0.679976i | ||||
\(121\) | 0.00430932 | + | 0.00126533i | 0.000391757 | + | 0.000115030i | ||||
\(122\) | −6.19104 | + | 3.97874i | −0.560510 | + | 0.360218i | ||||
\(123\) | −3.30446 | − | 7.23577i | −0.297954 | − | 0.652427i | ||||
\(124\) | −1.11073 | − | 1.28185i | −0.0997467 | − | 0.115114i | ||||
\(125\) | 9.23666 | + | 5.93604i | 0.826152 | + | 0.530936i | ||||
\(126\) | −0.633211 | + | 4.40408i | −0.0564110 | + | 0.392347i | ||||
\(127\) | −2.51559 | + | 17.4963i | −0.223222 | + | 1.55254i | 0.502513 | + | 0.864570i | \(0.332409\pi\) |
−0.725735 | + | 0.687974i | \(0.758500\pi\) | |||||||
\(128\) | 0.841254 | + | 0.540641i | 0.0743570 | + | 0.0477863i | ||||
\(129\) | −17.2685 | − | 19.9290i | −1.52041 | − | 1.75465i | ||||
\(130\) | −8.54363 | − | 18.7079i | −0.749326 | − | 1.64079i | ||||
\(131\) | −12.5641 | + | 8.07446i | −1.09773 | + | 0.705469i | −0.958586 | − | 0.284803i | \(-0.908072\pi\) |
−0.139145 | + | 0.990272i | \(0.544435\pi\) | |||||||
\(132\) | −8.68379 | − | 2.54979i | −0.755827 | − | 0.221931i | ||||
\(133\) | −3.06907 | + | 3.54190i | −0.266122 | + | 0.307122i | ||||
\(134\) | 9.00141 | − | 2.64305i | 0.777603 | − | 0.228325i | ||||
\(135\) | −5.93428 | + | 12.9943i | −0.510742 | + | 1.11837i | ||||
\(136\) | 0.613625 | + | 4.26785i | 0.0526179 | + | 0.365965i | ||||
\(137\) | 21.3865 | 1.82718 | 0.913588 | − | 0.406641i | \(-0.133300\pi\) | ||||
0.913588 | + | 0.406641i | \(0.133300\pi\) | |||||||
\(138\) | −12.6430 | + | 3.38979i | −1.07624 | + | 0.288558i | ||||
\(139\) | −13.8100 | −1.17135 | −0.585675 | − | 0.810546i | \(-0.699170\pi\) | ||||
−0.585675 | + | 0.810546i | \(0.699170\pi\) | |||||||
\(140\) | −0.513922 | − | 3.57440i | −0.0434343 | − | 0.302092i | ||||
\(141\) | 1.86422 | − | 4.08207i | 0.156996 | − | 0.343773i | ||||
\(142\) | 5.08350 | − | 1.49265i | 0.426598 | − | 0.125260i | ||||
\(143\) | −12.3672 | + | 14.2725i | −1.03419 | + | 1.19352i | ||||
\(144\) | −4.26914 | − | 1.25353i | −0.355762 | − | 0.104461i | ||||
\(145\) | −14.8368 | + | 9.53502i | −1.23213 | + | 0.791841i | ||||
\(146\) | 5.39806 | + | 11.8201i | 0.446747 | + | 0.978239i | ||||
\(147\) | 1.78735 | + | 2.06271i | 0.147418 | + | 0.170129i | ||||
\(148\) | 7.62046 | + | 4.89737i | 0.626398 | + | 0.402561i | ||||
\(149\) | −1.77803 | + | 12.3665i | −0.145662 | + | 1.01310i | 0.777553 | + | 0.628817i | \(0.216460\pi\) |
−0.923215 | + | 0.384283i | \(0.874449\pi\) | |||||||
\(150\) | 3.12314 | − | 21.7219i | 0.255003 | − | 1.77359i | ||||
\(151\) | −18.3368 | − | 11.7844i | −1.49223 | − | 0.958998i | −0.995861 | − | 0.0908865i | \(-0.971030\pi\) |
−0.496369 | − | 0.868112i | \(-0.665334\pi\) | |||||||
\(152\) | −3.06907 | − | 3.54190i | −0.248935 | − | 0.287286i | ||||
\(153\) | −7.96954 | − | 17.4509i | −0.644299 | − | 1.41082i | ||||
\(154\) | −2.78955 | + | 1.79274i | −0.224789 | + | 0.144463i | ||||
\(155\) | −5.87691 | − | 1.72562i | −0.472045 | − | 0.138605i | ||||
\(156\) | −10.1794 | + | 11.7477i | −0.815004 | + | 0.940565i | ||||
\(157\) | −5.94565 | + | 1.74580i | −0.474515 | + | 0.139330i | −0.510241 | − | 0.860032i | \(-0.670444\pi\) |
0.0357262 | + | 0.999362i | \(0.488626\pi\) | |||||||
\(158\) | −4.20980 | + | 9.21818i | −0.334914 | + | 0.733359i | ||||
\(159\) | −2.61140 | − | 18.1627i | −0.207097 | − | 1.44039i | ||||
\(160\) | 3.61116 | 0.285487 | ||||||||
\(161\) | −2.09484 | + | 4.31412i | −0.165096 | + | 0.340000i | ||||
\(162\) | −2.55121 | −0.200442 | ||||||||
\(163\) | 1.15849 | + | 8.05749i | 0.0907401 | + | 0.631111i | 0.983544 | + | 0.180667i | \(0.0578255\pi\) |
−0.892804 | + | 0.450445i | \(0.851265\pi\) | |||||||
\(164\) | 1.21071 | − | 2.65109i | 0.0945408 | − | 0.207016i | ||||
\(165\) | −31.3585 | + | 9.20770i | −2.44126 | + | 0.716819i | ||||
\(166\) | 8.50221 | − | 9.81207i | 0.659900 | − | 0.761565i | ||||
\(167\) | 3.12841 | + | 0.918584i | 0.242084 | + | 0.0710821i | 0.400524 | − | 0.916286i | \(-0.368828\pi\) |
−0.158440 | + | 0.987369i | \(0.550646\pi\) | |||||||
\(168\) | −2.29608 | + | 1.47560i | −0.177146 | + | 0.113845i | ||||
\(169\) | 8.07400 | + | 17.6796i | 0.621077 | + | 1.35997i | ||||
\(170\) | 10.1964 | + | 11.7673i | 0.782031 | + | 0.902512i | ||||
\(171\) | 17.5422 | + | 11.2737i | 1.34148 | + | 0.862120i | ||||
\(172\) | 1.37498 | − | 9.56321i | 0.104841 | − | 0.729188i | ||||
\(173\) | −2.16313 | + | 15.0449i | −0.164460 | + | 1.14385i | 0.725638 | + | 0.688076i | \(0.241545\pi\) |
−0.890098 | + | 0.455769i | \(0.849364\pi\) | |||||||
\(174\) | 11.2138 | + | 7.20667i | 0.850116 | + | 0.546337i | ||||
\(175\) | −5.26539 | − | 6.07659i | −0.398026 | − | 0.459347i | ||||
\(176\) | −1.37749 | − | 3.01629i | −0.103833 | − | 0.227362i | ||||
\(177\) | 3.33289 | − | 2.14192i | 0.250515 | − | 0.160996i | ||||
\(178\) | −5.69376 | − | 1.67184i | −0.426765 | − | 0.125310i | ||||
\(179\) | −1.75139 | + | 2.02121i | −0.130905 | + | 0.151073i | −0.817418 | − | 0.576045i | \(-0.804595\pi\) |
0.686513 | + | 0.727118i | \(0.259141\pi\) | |||||||
\(180\) | −15.4165 | + | 4.52671i | −1.14908 | + | 0.337401i | ||||
\(181\) | 7.69514 | − | 16.8500i | 0.571976 | − | 1.25245i | −0.373763 | − | 0.927524i | \(-0.621933\pi\) |
0.945739 | − | 0.324928i | \(-0.105340\pi\) | |||||||
\(182\) | 0.810520 | + | 5.63729i | 0.0600797 | + | 0.417864i | ||||
\(183\) | 20.0861 | 1.48481 | ||||||||
\(184\) | −3.97208 | − | 2.68748i | −0.292826 | − | 0.198124i | ||||
\(185\) | 32.7115 | 2.40500 | ||||||||
\(186\) | 0.658825 | + | 4.58223i | 0.0483074 | + | 0.335986i | ||||
\(187\) | 5.93940 | − | 13.0055i | 0.434332 | − | 0.951054i | ||||
\(188\) | 1.57760 | − | 0.463225i | 0.115058 | − | 0.0337842i | ||||
\(189\) | 2.59053 | − | 2.98963i | 0.188433 | − | 0.217463i | ||||
\(190\) | −16.2385 | − | 4.76806i | −1.17807 | − | 0.345912i | ||||
\(191\) | −12.4431 | + | 7.99670i | −0.900351 | + | 0.578621i | −0.906894 | − | 0.421358i | \(-0.861554\pi\) |
0.00654309 | + | 0.999979i | \(0.497917\pi\) | |||||||
\(192\) | −1.13381 | − | 2.48271i | −0.0818260 | − | 0.179174i | ||||
\(193\) | 6.18404 | + | 7.13676i | 0.445137 | + | 0.513715i | 0.933330 | − | 0.359020i | \(-0.116889\pi\) |
−0.488193 | + | 0.872736i | \(0.662344\pi\) | |||||||
\(194\) | −3.15835 | − | 2.02975i | −0.226757 | − | 0.145728i | ||||
\(195\) | −7.98859 | + | 55.5619i | −0.572075 | + | 3.97887i | ||||
\(196\) | −0.142315 | + | 0.989821i | −0.0101653 | + | 0.0707015i | ||||
\(197\) | −12.8875 | − | 8.28227i | −0.918194 | − | 0.590087i | −0.00606085 | − | 0.999982i | \(-0.501929\pi\) |
−0.912133 | + | 0.409894i | \(0.865566\pi\) | |||||||
\(198\) | 9.66174 | + | 11.1502i | 0.686630 | + | 0.792413i | ||||
\(199\) | −2.88180 | − | 6.31027i | −0.204286 | − | 0.447323i | 0.779563 | − | 0.626323i | \(-0.215441\pi\) |
−0.983849 | + | 0.179000i | \(0.942714\pi\) | |||||||
\(200\) | 6.76408 | − | 4.34701i | 0.478293 | − | 0.307380i | ||||
\(201\) | −24.5680 | − | 7.21383i | −1.73290 | − | 0.508824i | ||||
\(202\) | −0.252564 | + | 0.291474i | −0.0177703 | + | 0.0205080i | ||||
\(203\) | 4.68606 | − | 1.37595i | 0.328897 | − | 0.0965729i | ||||
\(204\) | 4.88871 | − | 10.7048i | 0.342278 | − | 0.749485i | ||||
\(205\) | −1.49781 | − | 10.4175i | −0.104611 | − | 0.727588i | ||||
\(206\) | −2.05565 | −0.143224 | ||||||||
\(207\) | 20.3262 | + | 6.49409i | 1.41277 | + | 0.451371i | ||||
\(208\) | −5.69526 | −0.394895 | ||||||||
\(209\) | 2.21165 | + | 15.3824i | 0.152983 | + | 1.06402i | ||||
\(210\) | −4.09439 | + | 8.96545i | −0.282539 | + | 0.618675i | ||||
\(211\) | 25.1701 | − | 7.39060i | 1.73278 | − | 0.508790i | 0.745326 | − | 0.666700i | \(-0.232294\pi\) |
0.987453 | + | 0.157910i | \(0.0504757\pi\) | |||||||
\(212\) | 4.40262 | − | 5.08090i | 0.302373 | − | 0.348958i | ||||
\(213\) | −13.8747 | − | 4.07397i | −0.950677 | − | 0.279144i | ||||
\(214\) | 3.85989 | − | 2.48060i | 0.263857 | − | 0.169571i | ||||
\(215\) | −14.4936 | − | 31.7365i | −0.988454 | − | 2.16441i | ||||
\(216\) | 2.59053 | + | 2.98963i | 0.176263 | + | 0.203418i | ||||
\(217\) | 1.42688 | + | 0.917000i | 0.0968629 | + | 0.0622500i | ||||
\(218\) | 2.45442 | − | 17.0708i | 0.166234 | − | 1.15618i | ||||
\(219\) | 5.04737 | − | 35.1053i | 0.341070 | − | 2.37219i | ||||
\(220\) | −10.0735 | − | 6.47386i | −0.679157 | − | 0.436467i | ||||
\(221\) | −16.0811 | − | 18.5586i | −1.08173 | − | 1.24838i | ||||
\(222\) | −10.2706 | − | 22.4895i | −0.689318 | − | 1.50940i | ||||
\(223\) | 2.01320 | − | 1.29380i | 0.134814 | − | 0.0866395i | −0.471496 | − | 0.881868i | \(-0.656286\pi\) |
0.606309 | + | 0.795229i | \(0.292649\pi\) | |||||||
\(224\) | −0.959493 | − | 0.281733i | −0.0641088 | − | 0.0188240i | ||||
\(225\) | −23.4277 | + | 27.0370i | −1.56185 | + | 1.80247i | ||||
\(226\) | −7.67977 | + | 2.25498i | −0.510851 | + | 0.149999i | ||||
\(227\) | 4.25188 | − | 9.31031i | 0.282207 | − | 0.617947i | −0.714447 | − | 0.699690i | \(-0.753321\pi\) |
0.996653 | + | 0.0817432i | \(0.0260487\pi\) | |||||||
\(228\) | 1.82041 | + | 12.6612i | 0.120559 | + | 0.838509i | ||||
\(229\) | 7.48570 | 0.494669 | 0.247335 | − | 0.968930i | \(-0.420445\pi\) | ||||
0.247335 | + | 0.968930i | \(0.420445\pi\) | |||||||
\(230\) | −17.3137 | − | 0.409440i | −1.14163 | − | 0.0269976i | ||||
\(231\) | 9.05039 | 0.595472 | ||||||||
\(232\) | 0.695051 | + | 4.83418i | 0.0456323 | + | 0.317380i | ||||
\(233\) | 2.67039 | − | 5.84735i | 0.174943 | − | 0.383072i | −0.801766 | − | 0.597638i | \(-0.796106\pi\) |
0.976710 | + | 0.214565i | \(0.0688335\pi\) | |||||||
\(234\) | 24.3139 | − | 7.13919i | 1.58945 | − | 0.466704i | ||||
\(235\) | 3.88822 | − | 4.48725i | 0.253640 | − | 0.292716i | ||||
\(236\) | 1.39276 | + | 0.408951i | 0.0906609 | + | 0.0266205i | ||||
\(237\) | 23.2684 | − | 14.9537i | 1.51144 | − | 0.971345i | ||||
\(238\) | −1.79116 | − | 3.92210i | −0.116104 | − | 0.254232i | ||||
\(239\) | 8.06304 | + | 9.30525i | 0.521555 | + | 0.601907i | 0.954020 | − | 0.299744i | \(-0.0969014\pi\) |
−0.432465 | + | 0.901651i | \(0.642356\pi\) | |||||||
\(240\) | −8.29151 | − | 5.32863i | −0.535214 | − | 0.343961i | ||||
\(241\) | 2.25061 | − | 15.6533i | 0.144974 | − | 1.00832i | −0.779317 | − | 0.626630i | \(-0.784434\pi\) |
0.924291 | − | 0.381688i | \(-0.124657\pi\) | |||||||
\(242\) | 0.000639172 | − | 0.00444554i | 4.10875e−5 | − | 0.000285770i | ||||
\(243\) | 15.8414 | + | 10.1806i | 1.01623 | + | 0.653089i | ||||
\(244\) | 4.81932 | + | 5.56179i | 0.308525 | + | 0.356057i | ||||
\(245\) | 1.50013 | + | 3.28483i | 0.0958398 | + | 0.209860i | ||||
\(246\) | −6.69184 | + | 4.30059i | −0.426656 | + | 0.274195i | ||||
\(247\) | 25.6102 | + | 7.51985i | 1.62954 | + | 0.478476i | ||||
\(248\) | −1.11073 | + | 1.28185i | −0.0705316 | + | 0.0813978i | ||||
\(249\) | −34.0004 | + | 9.98343i | −2.15469 | + | 0.632674i | ||||
\(250\) | 4.56111 | − | 9.98743i | 0.288470 | − | 0.631661i | ||||
\(251\) | 1.69370 | + | 11.7799i | 0.106905 | + | 0.743542i | 0.970804 | + | 0.239876i | \(0.0771067\pi\) |
−0.863898 | + | 0.503666i | \(0.831984\pi\) | |||||||
\(252\) | 4.44937 | 0.280284 | ||||||||
\(253\) | 6.26239 | + | 14.6178i | 0.393713 | + | 0.919011i | ||||
\(254\) | 17.6762 | 1.10910 | ||||||||
\(255\) | −6.04797 | − | 42.0645i | −0.378738 | − | 2.63418i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | −2.48034 | + | 0.728294i | −0.154719 | + | 0.0454297i | −0.358175 | − | 0.933654i | \(-0.616601\pi\) |
0.203456 | + | 0.979084i | \(0.434783\pi\) | |||||||
\(258\) | −17.2685 | + | 19.9290i | −1.07509 | + | 1.24072i | ||||
\(259\) | −8.69152 | − | 2.55206i | −0.540065 | − | 0.158577i | ||||
\(260\) | −17.3016 | + | 11.1191i | −1.07300 | + | 0.689576i | ||||
\(261\) | −9.02707 | − | 19.7665i | −0.558762 | − | 1.22352i | ||||
\(262\) | 9.78033 | + | 11.2871i | 0.604231 | + | 0.697320i | ||||
\(263\) | −10.5950 | − | 6.80899i | −0.653315 | − | 0.419860i | 0.171561 | − | 0.985174i | \(-0.445119\pi\) |
−0.824876 | + | 0.565313i | \(0.808755\pi\) | |||||||
\(264\) | −1.28801 | + | 8.95827i | −0.0792712 | + | 0.551344i | ||||
\(265\) | 3.45509 | − | 24.0307i | 0.212245 | − | 1.47619i | ||||
\(266\) | 3.94262 | + | 2.53377i | 0.241738 | + | 0.155355i | ||||
\(267\) | 10.6063 | + | 12.2404i | 0.649098 | + | 0.749099i | ||||
\(268\) | −3.89718 | − | 8.53364i | −0.238058 | − | 0.521275i | ||||
\(269\) | −12.0908 | + | 7.77031i | −0.737192 | + | 0.473764i | −0.854579 | − | 0.519322i | \(-0.826185\pi\) |
0.117387 | + | 0.993086i | \(0.462548\pi\) | |||||||
\(270\) | 13.7065 | + | 4.02460i | 0.834153 | + | 0.244929i | ||||
\(271\) | 13.1499 | − | 15.1757i | 0.798797 | − | 0.921861i | −0.199518 | − | 0.979894i | \(-0.563938\pi\) |
0.998315 | + | 0.0580336i | \(0.0184831\pi\) | |||||||
\(272\) | 4.13709 | − | 1.21476i | 0.250848 | − | 0.0736555i | ||||
\(273\) | 6.45737 | − | 14.1397i | 0.390818 | − | 0.855771i | ||||
\(274\) | −3.04362 | − | 21.1689i | −0.183872 | − | 1.27886i | ||||
\(275\) | −26.6618 | −1.60777 | ||||||||
\(276\) | 5.15457 | + | 12.0319i | 0.310269 | + | 0.724234i | ||||
\(277\) | −28.5599 | −1.71600 | −0.857998 | − | 0.513652i | \(-0.828292\pi\) | ||||
−0.857998 | + | 0.513652i | \(0.828292\pi\) | |||||||
\(278\) | 1.96537 | + | 13.6694i | 0.117875 | + | 0.819838i | ||||
\(279\) | 3.13503 | − | 6.86475i | 0.187689 | − | 0.410982i | ||||
\(280\) | −3.46488 | + | 1.01738i | −0.207066 | + | 0.0608002i | ||||
\(281\) | 18.5294 | − | 21.3840i | 1.10537 | − | 1.27566i | 0.147310 | − | 0.989090i | \(-0.452938\pi\) |
0.958058 | − | 0.286573i | \(-0.0925161\pi\) | |||||||
\(282\) | −4.30583 | − | 1.26431i | −0.256408 | − | 0.0752883i | ||||
\(283\) | 12.9871 | − | 8.34629i | 0.772002 | − | 0.496135i | −0.0943686 | − | 0.995537i | \(-0.530083\pi\) |
0.866370 | + | 0.499402i | \(0.166447\pi\) | |||||||
\(284\) | −2.20091 | − | 4.81933i | −0.130600 | − | 0.285975i | ||||
\(285\) | 30.2492 | + | 34.9094i | 1.79181 | + | 2.06786i | ||||
\(286\) | 15.8872 | + | 10.2101i | 0.939431 | + | 0.603736i | ||||
\(287\) | −0.414772 | + | 2.88480i | −0.0244832 | + | 0.170284i | ||||
\(288\) | −0.633211 | + | 4.40408i | −0.0373123 | + | 0.259513i | ||||
\(289\) | 1.33853 | + | 0.860220i | 0.0787370 | + | 0.0506012i | ||||
\(290\) | 11.5495 | + | 13.3288i | 0.678208 | + | 0.782694i | ||||
\(291\) | 4.25673 | + | 9.32094i | 0.249534 | + | 0.546403i | ||||
\(292\) | 10.9316 | − | 7.02529i | 0.639721 | − | 0.411124i | ||||
\(293\) | −2.15484 | − | 0.632717i | −0.125887 | − | 0.0369637i | 0.218182 | − | 0.975908i | \(-0.429987\pi\) |
−0.344069 | + | 0.938944i | \(0.611805\pi\) | |||||||
\(294\) | 1.78735 | − | 2.06271i | 0.104240 | − | 0.120300i | ||||
\(295\) | 5.02948 | − | 1.47679i | 0.292827 | − | 0.0859819i | ||||
\(296\) | 3.76302 | − | 8.23986i | 0.218721 | − | 0.478932i | ||||
\(297\) | −1.86680 | − | 12.9839i | −0.108323 | − | 0.753400i | ||||
\(298\) | 12.4936 | 0.723737 | ||||||||
\(299\) | 27.3059 | + | 0.645738i | 1.57914 | + | 0.0373440i | ||||
\(300\) | −21.9453 | −1.26701 | ||||||||
\(301\) | 1.37498 | + | 9.56321i | 0.0792526 | + | 0.551214i | ||||
\(302\) | −9.05482 | + | 19.8273i | −0.521046 | + | 1.14093i | ||||
\(303\) | 1.01001 | − | 0.296564i | 0.0580233 | − | 0.0170372i | ||||
\(304\) | −3.06907 | + | 3.54190i | −0.176023 | + | 0.203142i | ||||
\(305\) | 25.4991 | + | 7.48721i | 1.46007 | + | 0.428717i | ||||
\(306\) | −16.1391 | + | 10.3719i | −0.922609 | + | 0.592924i | ||||
\(307\) | 0.294755 | + | 0.645422i | 0.0168225 | + | 0.0368362i | 0.917857 | − | 0.396912i | \(-0.129918\pi\) |
−0.901034 | + | 0.433748i | \(0.857191\pi\) | |||||||
\(308\) | 2.17148 | + | 2.50603i | 0.123732 | + | 0.142794i | ||||
\(309\) | 4.71993 | + | 3.03332i | 0.268508 | + | 0.172559i | ||||
\(310\) | −0.871680 | + | 6.06267i | −0.0495081 | + | 0.344337i | ||||
\(311\) | −2.70121 | + | 18.7873i | −0.153172 | + | 1.06533i | 0.757688 | + | 0.652617i | \(0.226329\pi\) |
−0.910860 | + | 0.412716i | \(0.864580\pi\) | |||||||
\(312\) | 13.0768 | + | 8.40392i | 0.740326 | + | 0.475779i | ||||
\(313\) | 10.4200 | + | 12.0253i | 0.588972 | + | 0.679710i | 0.969509 | − | 0.245056i | \(-0.0788063\pi\) |
−0.380537 | + | 0.924766i | \(0.624261\pi\) | |||||||
\(314\) | 2.57419 | + | 5.63668i | 0.145270 | + | 0.318096i | ||||
\(315\) | 13.5167 | − | 8.68669i | 0.761582 | − | 0.489439i | ||||
\(316\) | 9.72347 | + | 2.85507i | 0.546988 | + | 0.160610i | ||||
\(317\) | −4.28071 | + | 4.94021i | −0.240429 | + | 0.277470i | −0.863121 | − | 0.504997i | \(-0.831493\pi\) |
0.622692 | + | 0.782467i | \(0.286039\pi\) | |||||||
\(318\) | −17.6061 | + | 5.16963i | −0.987304 | + | 0.289898i | ||||
\(319\) | 6.72754 | − | 14.7313i | 0.376670 | − | 0.824792i | ||||
\(320\) | −0.513922 | − | 3.57440i | −0.0287291 | − | 0.199815i | ||||
\(321\) | −12.5230 | −0.698966 | ||||||||
\(322\) | 4.56834 | + | 1.45955i | 0.254583 | + | 0.0813377i | ||||
\(323\) | −20.2074 | −1.12437 | ||||||||
\(324\) | 0.363076 | + | 2.52525i | 0.0201709 | + | 0.140291i | ||||
\(325\) | −19.0229 | + | 41.6544i | −1.05520 | + | 2.31057i | ||||
\(326\) | 7.81061 | − | 2.29340i | 0.432589 | − | 0.127020i | ||||
\(327\) | −30.8252 | + | 35.5742i | −1.70464 | + | 1.96726i | ||||
\(328\) | −2.79641 | − | 0.821100i | −0.154406 | − | 0.0453377i | ||||
\(329\) | −1.38319 | + | 0.888923i | −0.0762578 | + | 0.0490079i | ||||
\(330\) | 13.5768 | + | 29.7290i | 0.747376 | + | 1.63653i | ||||
\(331\) | −3.85973 | − | 4.45437i | −0.212150 | − | 0.244834i | 0.639694 | − | 0.768630i | \(-0.279061\pi\) |
−0.851844 | + | 0.523796i | \(0.824516\pi\) | |||||||
\(332\) | −10.9222 | − | 7.01927i | −0.599433 | − | 0.385232i | ||||
\(333\) | −5.73592 | + | 39.8942i | −0.314326 | + | 2.18619i | ||||
\(334\) | 0.464015 | − | 3.22729i | 0.0253898 | − | 0.176590i | ||||
\(335\) | −28.4998 | − | 18.3157i | −1.55711 | − | 1.00070i | ||||
\(336\) | 1.78735 | + | 2.06271i | 0.0975077 | + | 0.112530i | ||||
\(337\) | 11.1926 | + | 24.5084i | 0.609700 | + | 1.33506i | 0.922779 | + | 0.385330i | \(0.125912\pi\) |
−0.313079 | + | 0.949727i | \(0.601360\pi\) | |||||||
\(338\) | 16.3506 | − | 10.5079i | 0.889355 | − | 0.571553i | ||||
\(339\) | 20.9608 | + | 6.15465i | 1.13843 | + | 0.334275i | ||||
\(340\) | 10.1964 | − | 11.7673i | 0.552979 | − | 0.638172i | ||||
\(341\) | 5.39647 | − | 1.58455i | 0.292235 | − | 0.0858080i | ||||
\(342\) | 8.66242 | − | 18.9680i | 0.468410 | − | 1.02567i | ||||
\(343\) | −0.142315 | − | 0.989821i | −0.00768428 | − | 0.0534453i | ||||
\(344\) | −9.66155 | −0.520916 | ||||||||
\(345\) | 39.1494 | + | 26.4882i | 2.10773 | + | 1.42607i | ||||
\(346\) | 15.1996 | 0.817138 | ||||||||
\(347\) | 0.711924 | + | 4.95154i | 0.0382181 | + | 0.265812i | 0.999967 | − | 0.00811985i | \(-0.00258466\pi\) |
−0.961749 | + | 0.273932i | \(0.911676\pi\) | |||||||
\(348\) | 5.53743 | − | 12.1253i | 0.296837 | − | 0.649983i | ||||
\(349\) | 15.8130 | − | 4.64312i | 0.846452 | − | 0.248541i | 0.170382 | − | 0.985378i | \(-0.445500\pi\) |
0.676070 | + | 0.736838i | \(0.263682\pi\) | |||||||
\(350\) | −5.26539 | + | 6.07659i | −0.281447 | + | 0.324807i | ||||
\(351\) | −21.6170 | − | 6.34731i | −1.15383 | − | 0.338794i | ||||
\(352\) | −2.78955 | + | 1.79274i | −0.148684 | + | 0.0955532i | ||||
\(353\) | 4.01373 | + | 8.78885i | 0.213629 | + | 0.467783i | 0.985863 | − | 0.167556i | \(-0.0535875\pi\) |
−0.772233 | + | 0.635339i | \(0.780860\pi\) | |||||||
\(354\) | −2.59444 | − | 2.99414i | −0.137893 | − | 0.159137i | ||||
\(355\) | −16.0951 | − | 10.3437i | −0.854241 | − | 0.548987i | ||||
\(356\) | −0.844515 | + | 5.87373i | −0.0447592 | + | 0.311307i | ||||
\(357\) | −1.67480 | + | 11.6485i | −0.0886398 | + | 0.616503i | ||||
\(358\) | 2.24989 | + | 1.44592i | 0.118910 | + | 0.0764190i | ||||
\(359\) | −15.5401 | − | 17.9342i | −0.820173 | − | 0.946530i | 0.179131 | − | 0.983825i | \(-0.442671\pi\) |
−0.999304 | + | 0.0372950i | \(0.988126\pi\) | |||||||
\(360\) | 6.67463 | + | 14.6154i | 0.351784 | + | 0.770300i | ||||
\(361\) | 2.49370 | − | 1.60260i | 0.131247 | − | 0.0843476i | ||||
\(362\) | −17.7736 | − | 5.21881i | −0.934162 | − | 0.274295i | ||||
\(363\) | −0.00802742 | + | 0.00926414i | −0.000421330 | + | 0.000486241i | ||||
\(364\) | 5.46456 | − | 1.60454i | 0.286421 | − | 0.0841007i | ||||
\(365\) | 19.4933 | − | 42.6843i | 1.02032 | − | 2.23420i | ||||
\(366\) | −2.85855 | − | 19.8817i | −0.149419 | − | 1.03923i | ||||
\(367\) | 5.96215 | 0.311221 | 0.155611 | − | 0.987818i | \(-0.450265\pi\) | ||||
0.155611 | + | 0.987818i | \(0.450265\pi\) | |||||||
\(368\) | −2.09484 | + | 4.31412i | −0.109201 | + | 0.224889i | ||||
\(369\) | 12.9675 | 0.675063 | ||||||||
\(370\) | −4.65534 | − | 32.3786i | −0.242019 | − | 1.68328i | ||||
\(371\) | −2.79283 | + | 6.11545i | −0.144997 | + | 0.317498i | ||||
\(372\) | 4.44183 | − | 1.30424i | 0.230298 | − | 0.0676217i | ||||
\(373\) | 13.0004 | − | 15.0033i | 0.673135 | − | 0.776839i | −0.311728 | − | 0.950171i | \(-0.600908\pi\) |
0.984863 | + | 0.173332i | \(0.0554534\pi\) | |||||||
\(374\) | −13.7184 | − | 4.02807i | −0.709359 | − | 0.208287i | ||||
\(375\) | −25.2101 | + | 16.2016i | −1.30184 | + | 0.836645i | ||||
\(376\) | −0.683026 | − | 1.49562i | −0.0352244 | − | 0.0771307i | ||||
\(377\) | −18.2150 | − | 21.0212i | −0.938119 | − | 1.08265i | ||||
\(378\) | −3.32787 | − | 2.13869i | −0.171167 | − | 0.110002i | ||||
\(379\) | 1.89395 | − | 13.1727i | 0.0972857 | − | 0.676637i | −0.881565 | − | 0.472062i | \(-0.843510\pi\) |
0.978851 | − | 0.204575i | \(-0.0655812\pi\) | |||||||
\(380\) | −2.40855 | + | 16.7518i | −0.123556 | + | 0.859350i | ||||
\(381\) | −40.5859 | − | 26.0830i | −2.07928 | − | 1.33627i | ||||
\(382\) | 9.68614 | + | 11.1784i | 0.495586 | + | 0.571937i | ||||
\(383\) | 3.98924 | + | 8.73522i | 0.203841 | + | 0.446349i | 0.983750 | − | 0.179544i | \(-0.0574621\pi\) |
−0.779909 | + | 0.625893i | \(0.784735\pi\) | |||||||
\(384\) | −2.29608 | + | 1.47560i | −0.117171 | + | 0.0753014i | ||||
\(385\) | 11.4894 | + | 3.37358i | 0.585552 | + | 0.171934i | ||||
\(386\) | 6.18404 | − | 7.13676i | 0.314759 | − | 0.363252i | ||||
\(387\) | 41.2465 | − | 12.1111i | 2.09668 | − | 0.615640i | ||||
\(388\) | −1.55961 | + | 3.41507i | −0.0791772 | + | 0.173374i | ||||
\(389\) | 1.22093 | + | 8.49172i | 0.0619034 | + | 0.430547i | 0.997080 | + | 0.0763654i | \(0.0243316\pi\) |
−0.935177 | + | 0.354182i | \(0.884759\pi\) | |||||||
\(390\) | 56.1332 | 2.84242 | ||||||||
\(391\) | −19.9730 | + | 5.35508i | −1.01008 | + | 0.270818i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | −5.80116 | − | 40.3479i | −0.292630 | − | 2.03528i | ||||
\(394\) | −6.36389 | + | 13.9350i | −0.320608 | + | 0.702034i | ||||
\(395\) | 35.1130 | − | 10.3101i | 1.76673 | − | 0.518758i | ||||
\(396\) | 9.66174 | − | 11.1502i | 0.485521 | − | 0.560321i | ||||
\(397\) | −33.9481 | − | 9.96805i | −1.70380 | − | 0.500282i | −0.722277 | − | 0.691604i | \(-0.756905\pi\) |
−0.981527 | + | 0.191321i | \(0.938723\pi\) | |||||||
\(398\) | −5.83592 | + | 3.75052i | −0.292528 | + | 0.187996i | ||||
\(399\) | −5.31374 | − | 11.6355i | −0.266020 | − | 0.582502i | ||||
\(400\) | −5.26539 | − | 6.07659i | −0.263270 | − | 0.303829i | ||||
\(401\) | 1.92618 | + | 1.23788i | 0.0961889 | + | 0.0618168i | 0.587851 | − | 0.808969i | \(-0.299974\pi\) |
−0.491662 | + | 0.870786i | \(0.663610\pi\) | |||||||
\(402\) | −3.64400 | + | 25.3446i | −0.181746 | + | 1.26407i | ||||
\(403\) | 1.37475 | − | 9.56160i | 0.0684812 | − | 0.476297i | ||||
\(404\) | 0.324451 | + | 0.208512i | 0.0161420 | + | 0.0103739i | ||||
\(405\) | 6.03313 | + | 6.96260i | 0.299788 | + | 0.345974i | ||||
\(406\) | −2.02884 | − | 4.44255i | −0.100690 | − | 0.220480i | ||||
\(407\) | −25.2690 | + | 16.2394i | −1.25254 | + | 0.804958i | ||||
\(408\) | −11.2916 | − | 3.31550i | −0.559016 | − | 0.164142i | ||||
\(409\) | −9.90272 | + | 11.4284i | −0.489658 | + | 0.565096i | −0.945774 | − | 0.324825i | \(-0.894695\pi\) |
0.456116 | + | 0.889920i | \(0.349240\pi\) | |||||||
\(410\) | −10.0983 | + | 2.96512i | −0.498719 | + | 0.146437i | ||||
\(411\) | −24.2484 | + | 53.0965i | −1.19608 | + | 2.61906i | ||||
\(412\) | 0.292549 | + | 2.03473i | 0.0144129 | + | 0.100244i | ||||
\(413\) | −1.45156 | −0.0714265 | ||||||||
\(414\) | 3.53527 | − | 21.0435i | 0.173749 | − | 1.03423i | ||||
\(415\) | −46.8845 | −2.30147 | ||||||||
\(416\) | 0.810520 | + | 5.63729i | 0.0397390 | + | 0.276391i | ||||
\(417\) | 15.6580 | − | 34.2862i | 0.766775 | − | 1.67900i | ||||
\(418\) | 14.9110 | − | 4.37828i | 0.729323 | − | 0.214148i | ||||
\(419\) | −17.3388 | + | 20.0101i | −0.847058 | + | 0.977557i | −0.999943 | − | 0.0106871i | \(-0.996598\pi\) |
0.152885 | + | 0.988244i | \(0.451144\pi\) | |||||||
\(420\) | 9.45689 | + | 2.77679i | 0.461449 | + | 0.135494i | ||||
\(421\) | 11.5680 | − | 7.43431i | 0.563790 | − | 0.362326i | −0.227489 | − | 0.973781i | \(-0.573052\pi\) |
0.791280 | + | 0.611455i | \(0.209415\pi\) | |||||||
\(422\) | −10.8975 | − | 23.8621i | −0.530480 | − | 1.16159i | ||||
\(423\) | 4.79074 | + | 5.52881i | 0.232934 | + | 0.268820i | ||||
\(424\) | −5.65574 | − | 3.63472i | −0.274667 | − | 0.176518i | ||||
\(425\) | 4.93383 | − | 34.3156i | 0.239326 | − | 1.66455i | ||||
\(426\) | −2.05793 | + | 14.3132i | −0.0997071 | + | 0.693478i | ||||
\(427\) | −6.19104 | − | 3.97874i | −0.299605 | − | 0.192545i | ||||
\(428\) | −3.00467 | − | 3.46758i | −0.145236 | − | 0.167612i | ||||
\(429\) | −21.4123 | − | 46.8864i | −1.03380 | − | 2.26370i | ||||
\(430\) | −29.3508 | + | 18.8626i | −1.41542 | + | 0.909637i | ||||
\(431\) | 6.36599 | + | 1.86922i | 0.306639 | + | 0.0900373i | 0.431432 | − | 0.902146i | \(-0.358009\pi\) |
−0.124793 | + | 0.992183i | \(0.539827\pi\) | |||||||
\(432\) | 2.59053 | − | 2.98963i | 0.124637 | − | 0.143839i | ||||
\(433\) | −8.21455 | + | 2.41201i | −0.394766 | + | 0.115914i | −0.473090 | − | 0.881014i | \(-0.656861\pi\) |
0.0783236 | + | 0.996928i | \(0.475043\pi\) | |||||||
\(434\) | 0.704600 | − | 1.54286i | 0.0338219 | − | 0.0740596i | ||||
\(435\) | −6.85051 | − | 47.6463i | −0.328457 | − | 2.28447i | ||||
\(436\) | −17.2464 | −0.825952 | ||||||||
\(437\) | 15.1162 | − | 16.6336i | 0.723107 | − | 0.795694i | ||||
\(438\) | −35.4662 | −1.69464 | ||||||||
\(439\) | 3.99371 | + | 27.7769i | 0.190609 | + | 1.32572i | 0.830400 | + | 0.557168i | \(0.188112\pi\) |
−0.639790 | + | 0.768550i | \(0.720979\pi\) | |||||||
\(440\) | −4.97435 | + | 10.8923i | −0.237143 | + | 0.519271i | ||||
\(441\) | −4.26914 | + | 1.25353i | −0.203292 | + | 0.0596920i | ||||
\(442\) | −16.0811 | + | 18.5586i | −0.764899 | + | 0.882740i | ||||
\(443\) | 5.73644 | + | 1.68437i | 0.272547 | + | 0.0800269i | 0.415150 | − | 0.909753i | \(-0.363729\pi\) |
−0.142603 | + | 0.989780i | \(0.545547\pi\) | |||||||
\(444\) | −20.7989 | + | 13.3667i | −0.987073 | + | 0.634353i | ||||
\(445\) | 8.90197 | + | 19.4926i | 0.421994 | + | 0.924037i | ||||
\(446\) | −1.56714 | − | 1.80858i | −0.0742064 | − | 0.0856387i | ||||
\(447\) | −28.6864 | − | 18.4356i | −1.35682 | − | 0.871974i | ||||
\(448\) | −0.142315 | + | 0.989821i | −0.00672374 | + | 0.0467647i | ||||
\(449\) | −2.84484 | + | 19.7863i | −0.134256 | + | 0.933773i | 0.805662 | + | 0.592375i | \(0.201810\pi\) |
−0.939919 | + | 0.341398i | \(0.889100\pi\) | |||||||
\(450\) | 30.0959 | + | 19.3415i | 1.41873 | + | 0.911765i | ||||
\(451\) | 6.32872 | + | 7.30373i | 0.298008 | + | 0.343919i | ||||
\(452\) | 3.32498 | + | 7.28068i | 0.156394 | + | 0.342454i | ||||
\(453\) | 50.0477 | − | 32.1637i | 2.35145 | − | 1.51118i | ||||
\(454\) | −9.82065 | − | 2.88360i | −0.460906 | − | 0.135334i | ||||
\(455\) | 13.4682 | − | 15.5431i | 0.631398 | − | 0.728673i | ||||
\(456\) | 12.2733 | − | 3.60375i | 0.574748 | − | 0.168761i | ||||
\(457\) | −10.3656 | + | 22.6974i | −0.484881 | + | 1.06174i | 0.496211 | + | 0.868202i | \(0.334724\pi\) |
−0.981092 | + | 0.193540i | \(0.938003\pi\) | |||||||
\(458\) | −1.06533 | − | 7.40951i | −0.0497794 | − | 0.346224i | ||||
\(459\) | 17.0566 | 0.796133 | ||||||||
\(460\) | 2.05872 | + | 17.1957i | 0.0959883 | + | 0.801754i | ||||
\(461\) | −16.3493 | −0.761464 | −0.380732 | − | 0.924686i | \(-0.624328\pi\) | ||||
−0.380732 | + | 0.924686i | \(0.624328\pi\) | |||||||
\(462\) | −1.28801 | − | 8.95827i | −0.0599234 | − | 0.416777i | ||||
\(463\) | −1.79721 | + | 3.93533i | −0.0835232 | + | 0.182890i | −0.946785 | − | 0.321865i | \(-0.895690\pi\) |
0.863262 | + | 0.504756i | \(0.168417\pi\) | |||||||
\(464\) | 4.68606 | − | 1.37595i | 0.217545 | − | 0.0638770i | ||||
\(465\) | 10.9475 | − | 12.6341i | 0.507679 | − | 0.585893i | ||||
\(466\) | −6.16786 | − | 1.81105i | −0.285721 | − | 0.0838952i | ||||
\(467\) | 29.3524 | − | 18.8636i | 1.35827 | − | 0.872904i | 0.360069 | − | 0.932926i | \(-0.382753\pi\) |
0.998197 | + | 0.0600214i | \(0.0191169\pi\) | |||||||
\(468\) | −10.5267 | − | 23.0504i | −0.486599 | − | 1.06550i | ||||
\(469\) | 6.14353 | + | 7.09001i | 0.283682 | + | 0.327386i | ||||
\(470\) | −4.99492 | − | 3.21004i | −0.230399 | − | 0.148068i | ||||
\(471\) | 2.40695 | − | 16.7407i | 0.110907 | − | 0.771372i | ||||
\(472\) | 0.206578 | − | 1.43678i | 0.00950853 | − | 0.0661333i | ||||
\(473\) | 26.9514 | + | 17.3206i | 1.23923 | + | 0.796403i | ||||
\(474\) | −18.1129 | − | 20.9034i | −0.831953 | − | 0.960125i | ||||
\(475\) | 15.6539 | + | 34.2772i | 0.718250 | + | 1.57275i | ||||
\(476\) | −3.62727 | + | 2.33110i | −0.166256 | + | 0.106846i | ||||
\(477\) | 28.7014 | + | 8.42749i | 1.31415 | + | 0.385868i | ||||
\(478\) | 8.06304 | − | 9.30525i | 0.368795 | − | 0.425612i | ||||
\(479\) | 12.8343 | − | 3.76850i | 0.586415 | − | 0.172187i | 0.0249517 | − | 0.999689i | \(-0.492057\pi\) |
0.561463 | + | 0.827502i | \(0.310239\pi\) | |||||||
\(480\) | −4.09439 | + | 8.96545i | −0.186882 | + | 0.409215i | ||||
\(481\) | 7.34206 | + | 51.0651i | 0.334769 | + | 2.32837i | ||||
\(482\) | −15.8143 | −0.720321 | ||||||||
\(483\) | −8.33554 | − | 10.0923i | −0.379280 | − | 0.459215i | ||||
\(484\) | −0.00449125 | −0.000204148 | ||||||||
\(485\) | 1.92944 | + | 13.4195i | 0.0876113 | + | 0.609350i | ||||
\(486\) | 7.82255 | − | 17.1290i | 0.354838 | − | 0.776987i | ||||
\(487\) | −27.1492 | + | 7.97173i | −1.23025 | + | 0.361234i | −0.831344 | − | 0.555759i | \(-0.812428\pi\) |
−0.398905 | + | 0.916992i | \(0.630610\pi\) | |||||||
\(488\) | 4.81932 | − | 5.56179i | 0.218160 | − | 0.251770i | ||||
\(489\) | −21.3179 | − | 6.25950i | −0.964029 | − | 0.283064i | ||||
\(490\) | 3.03790 | − | 1.95234i | 0.137238 | − | 0.0881977i | ||||
\(491\) | −9.23157 | − | 20.2143i | −0.416615 | − | 0.912259i | −0.995312 | − | 0.0967168i | \(-0.969166\pi\) |
0.578697 | − | 0.815543i | \(-0.303561\pi\) | |||||||
\(492\) | 5.20916 | + | 6.01169i | 0.234847 | + | 0.271028i | ||||
\(493\) | 17.7152 | + | 11.3849i | 0.797852 | + | 0.512748i | ||||
\(494\) | 3.79859 | − | 26.4198i | 0.170906 | − | 1.18868i | ||||
\(495\) | 7.58234 | − | 52.7363i | 0.340801 | − | 2.37032i | ||||
\(496\) | 1.42688 | + | 0.917000i | 0.0640688 | + | 0.0411745i | ||||
\(497\) | 3.46952 | + | 4.00405i | 0.155629 | + | 0.179606i | ||||
\(498\) | 14.7206 | + | 32.2336i | 0.659645 | + | 1.44442i | ||||
\(499\) | 11.8813 | − | 7.63567i | 0.531881 | − | 0.341819i | −0.246975 | − | 0.969022i | \(-0.579437\pi\) |
0.778856 | + | 0.627202i | \(0.215800\pi\) | |||||||
\(500\) | −10.5349 | − | 3.09332i | −0.471135 | − | 0.138338i | ||||
\(501\) | −5.82761 | + | 6.72542i | −0.260358 | + | 0.300470i | ||||
\(502\) | 11.4190 | − | 3.35291i | 0.509654 | − | 0.149648i | ||||
\(503\) | −4.81758 | + | 10.5490i | −0.214805 | + | 0.470358i | −0.986107 | − | 0.166112i | \(-0.946879\pi\) |
0.771302 | + | 0.636470i | \(0.219606\pi\) | |||||||
\(504\) | −0.633211 | − | 4.40408i | −0.0282055 | − | 0.196173i | ||||
\(505\) | 1.39274 | 0.0619759 | ||||||||
\(506\) | 13.5777 | − | 8.27898i | 0.603605 | − | 0.368045i | ||||
\(507\) | −53.0477 | −2.35593 | ||||||||
\(508\) | −2.51559 | − | 17.4963i | −0.111611 | − | 0.776272i | ||||
\(509\) | 3.58025 | − | 7.83965i | 0.158692 | − | 0.347486i | −0.813539 | − | 0.581510i | \(-0.802462\pi\) |
0.972231 | + | 0.234024i | \(0.0751894\pi\) | |||||||
\(510\) | −40.7757 | + | 11.9728i | −1.80558 | + | 0.530165i | ||||
\(511\) | −8.50951 | + | 9.82049i | −0.376438 | + | 0.434433i | ||||
\(512\) | −0.959493 | − | 0.281733i | −0.0424040 | − | 0.0124509i | ||||
\(513\) | −15.5964 | + | 10.0232i | −0.688598 | + | 0.442535i | ||||
\(514\) | 1.07387 | + | 2.35145i | 0.0473664 | + | 0.103718i | ||||
\(515\) | 4.86121 | + | 5.61014i | 0.214211 | + | 0.247212i | ||||
\(516\) | 22.1837 | + | 14.2566i | 0.976582 | + | 0.627611i | ||||
\(517\) | −0.775913 | + | 5.39659i | −0.0341246 | + | 0.237342i | ||||
\(518\) | −1.28915 | + | 8.96625i | −0.0566421 | + | 0.393955i | ||||
\(519\) | −34.8996 | − | 22.4286i | −1.53192 | − | 0.984506i | ||||
\(520\) | 13.4682 | + | 15.5431i | 0.590619 | + | 0.681611i | ||||
\(521\) | 1.19514 | + | 2.61700i | 0.0523602 | + | 0.114653i | 0.934004 | − | 0.357263i | \(-0.116290\pi\) |
−0.881644 | + | 0.471916i | \(0.843563\pi\) | |||||||
\(522\) | −18.2807 | + | 11.7483i | −0.800122 | + | 0.514207i | ||||
\(523\) | −1.87025 | − | 0.549154i | −0.0817802 | − | 0.0240128i | 0.240586 | − | 0.970628i | \(-0.422660\pi\) |
−0.322367 | + | 0.946615i | \(0.604478\pi\) | |||||||
\(524\) | 9.78033 | − | 11.2871i | 0.427256 | − | 0.493079i | ||||
\(525\) | 21.0564 | − | 6.18270i | 0.918975 | − | 0.269835i | ||||
\(526\) | −5.23186 | + | 11.4562i | −0.228120 | + | 0.499513i | ||||
\(527\) | 1.04079 | + | 7.23886i | 0.0453375 | + | 0.315330i | ||||
\(528\) | 9.05039 | 0.393868 | ||||||||
\(529\) | 10.5328 | − | 20.4465i | 0.457949 | − | 0.888978i | ||||
\(530\) | −24.2778 | −1.05456 | ||||||||
\(531\) | 0.919143 | + | 6.39278i | 0.0398874 | + | 0.277423i | ||||
\(532\) | 1.94689 | − | 4.26309i | 0.0844082 | − | 0.184828i | ||||
\(533\) | 15.9263 | − | 4.67638i | 0.689844 | − | 0.202556i | ||||
\(534\) | 10.6063 | − | 12.2404i | 0.458981 | − | 0.529693i | ||||
\(535\) | −15.8978 | − | 4.66802i | −0.687322 | − | 0.201816i | ||||
\(536\) | −7.89216 | + | 5.07198i | −0.340889 | + | 0.219076i | ||||
\(537\) | −3.03233 | − | 6.63987i | −0.130855 | − | 0.286532i | ||||
\(538\) | 9.41193 | + | 10.8619i | 0.405777 | + | 0.468292i | ||||
\(539\) | −2.78955 | − | 1.79274i | −0.120155 | − | 0.0772186i | ||||
\(540\) | 2.03299 | − | 14.1398i | 0.0874861 | − | 0.608479i | ||||
\(541\) | 4.85157 | − | 33.7434i | 0.208585 | − | 1.45074i | −0.569192 | − | 0.822204i | \(-0.692744\pi\) |
0.777778 | − | 0.628539i | \(-0.216347\pi\) | |||||||
\(542\) | −16.8927 | − | 10.8563i | −0.725603 | − | 0.466317i | ||||
\(543\) | 33.1088 | + | 38.2096i | 1.42083 | + | 1.63973i | ||||
\(544\) | −1.79116 | − | 3.92210i | −0.0767954 | − | 0.168159i | ||||
\(545\) | −52.3928 | + | 33.6708i | −2.24426 | + | 1.44230i | ||||
\(546\) | −14.9147 | − | 4.37936i | −0.638291 | − | 0.187419i | ||||
\(547\) | −0.632257 | + | 0.729663i | −0.0270333 | + | 0.0311981i | −0.769105 | − | 0.639122i | \(-0.779298\pi\) |
0.742072 | + | 0.670320i | \(0.233843\pi\) | |||||||
\(548\) | −20.5202 | + | 6.02529i | −0.876581 | + | 0.257387i | ||||
\(549\) | −13.6025 | + | 29.7852i | −0.580539 | + | 1.27120i | ||||
\(550\) | 3.79437 | + | 26.3904i | 0.161792 | + | 1.12529i | ||||
\(551\) | −22.8889 | −0.975099 | ||||||||
\(552\) | 11.1758 | − | 6.81442i | 0.475675 | − | 0.290041i | ||||
\(553\) | −10.1340 | −0.430940 | ||||||||
\(554\) | 4.06449 | + | 28.2692i | 0.172684 | + | 1.20104i | ||||
\(555\) | −37.0888 | + | 81.2131i | −1.57433 | + | 3.44731i | ||||
\(556\) | 13.2506 | − | 3.89073i | 0.561951 | − | 0.165004i | ||||
\(557\) | 11.7127 | − | 13.5172i | 0.496283 | − | 0.572742i | −0.451250 | − | 0.892397i | \(-0.649022\pi\) |
0.947534 | + | 0.319656i | \(0.103567\pi\) | |||||||
\(558\) | −7.24104 | − | 2.12616i | −0.306538 | − | 0.0900075i | ||||
\(559\) | 46.2900 | − | 29.7488i | 1.95786 | − | 1.25824i | ||||
\(560\) | 1.50013 | + | 3.28483i | 0.0633921 | + | 0.138809i | ||||
\(561\) | 25.5546 | + | 29.4916i | 1.07892 | + | 1.24514i | ||||
\(562\) | −23.8034 | − | 15.2975i | −1.00408 | − | 0.645286i | ||||
\(563\) | 0.185078 | − | 1.28724i | 0.00780009 | − | 0.0542508i | −0.985550 | − | 0.169387i | \(-0.945821\pi\) |
0.993350 | + | 0.115136i | \(0.0367304\pi\) | |||||||
\(564\) | −0.638653 | + | 4.44193i | −0.0268922 | + | 0.187039i | ||||
\(565\) | 24.3153 | + | 15.6265i | 1.02295 | + | 0.657412i | ||||
\(566\) | −10.1096 | − | 11.6671i | −0.424938 | − | 0.490404i | ||||
\(567\) | −1.05981 | − | 2.32067i | −0.0445079 | − | 0.0974588i | ||||
\(568\) | −4.45705 | + | 2.86437i | −0.187014 | + | 0.120187i | ||||
\(569\) | 14.9139 | + | 4.37912i | 0.625223 | + | 0.183582i | 0.578972 | − | 0.815348i | \(-0.303454\pi\) |
0.0462518 | + | 0.998930i | \(0.485272\pi\) | |||||||
\(570\) | 30.2492 | − | 34.9094i | 1.26700 | − | 1.46220i | ||||
\(571\) | −36.5264 | + | 10.7251i | −1.52858 | + | 0.448832i | −0.934616 | − | 0.355658i | \(-0.884257\pi\) |
−0.593966 | + | 0.804490i | \(0.702439\pi\) | |||||||
\(572\) | 7.84519 | − | 17.1786i | 0.328024 | − | 0.718272i | ||||
\(573\) | −5.74529 | − | 39.9594i | −0.240013 | − | 1.66933i | ||||
\(574\) | 2.91447 | 0.121647 | ||||||||
\(575\) | 24.5559 | + | 29.7311i | 1.02405 | + | 1.23987i | ||||
\(576\) | 4.44937 | 0.185390 | ||||||||
\(577\) | 2.77337 | + | 19.2892i | 0.115457 | + | 0.803020i | 0.962458 | + | 0.271430i | \(0.0874965\pi\) |
−0.847001 | + | 0.531591i | \(0.821594\pi\) | |||||||
\(578\) | 0.660972 | − | 1.44733i | 0.0274928 | − | 0.0602009i | ||||
\(579\) | −24.7300 | + | 7.26140i | −1.02775 | + | 0.301773i | ||||
\(580\) | 11.5495 | − | 13.3288i | 0.479565 | − | 0.553448i | ||||
\(581\) | 12.4573 | + | 3.65780i | 0.516817 | + | 0.151751i | ||||
\(582\) | 8.62027 | − | 5.53991i | 0.357322 | − | 0.229637i | ||||
\(583\) | 9.26089 | + | 20.2785i | 0.383547 | + | 0.839850i | ||||
\(584\) | −8.50951 | − | 9.82049i | −0.352126 | − | 0.406375i | ||||
\(585\) | −76.9814 | − | 49.4729i | −3.18279 | − | 2.04545i | ||||
\(586\) | −0.319612 | + | 2.22295i | −0.0132030 | + | 0.0918292i | ||||
\(587\) | 1.05618 | − | 7.34592i | 0.0435934 | − | 0.303199i | −0.956347 | − | 0.292235i | \(-0.905601\pi\) |
0.999940 | − | 0.0109636i | \(-0.00348989\pi\) | |||||||
\(588\) | −2.29608 | − | 1.47560i | −0.0946887 | − | 0.0608527i | ||||
\(589\) | −5.20556 | − | 6.00754i | −0.214491 | − | 0.247536i | ||||
\(590\) | −2.17753 | − | 4.76812i | −0.0896473 | − | 0.196300i | ||||
\(591\) | 35.1744 | − | 22.6052i | 1.44688 | − | 0.929856i | ||||
\(592\) | −8.69152 | − | 2.55206i | −0.357219 | − | 0.104889i | ||||
\(593\) | −31.4359 | + | 36.2789i | −1.29092 | + | 1.48980i | −0.517848 | + | 0.855473i | \(0.673267\pi\) |
−0.773068 | + | 0.634324i | \(0.781279\pi\) | |||||||
\(594\) | −12.5860 | + | 3.69559i | −0.516411 | + | 0.151632i | ||||
\(595\) | −6.46817 | + | 14.1633i | −0.265169 | + | 0.580640i | ||||
\(596\) | −1.77803 | − | 12.3665i | −0.0728309 | − | 0.506550i | ||||
\(597\) | 18.9340 | 0.774916 | ||||||||
\(598\) | −3.24686 | − | 27.1198i | −0.132774 | − | 1.10901i | ||||
\(599\) | −19.7297 | −0.806133 | −0.403067 | − | 0.915171i | \(-0.632056\pi\) | ||||
−0.403067 | + | 0.915171i | \(0.632056\pi\) | |||||||
\(600\) | 3.12314 | + | 21.7219i | 0.127502 | + | 0.886794i | ||||
\(601\) | −18.1016 | + | 39.6369i | −0.738379 | + | 1.61682i | 0.0478244 | + | 0.998856i | \(0.484771\pi\) |
−0.786203 | + | 0.617968i | \(0.787956\pi\) | |||||||
\(602\) | 9.27019 | − | 2.72197i | 0.377825 | − | 0.110939i | ||||
\(603\) | 27.3348 | − | 31.5461i | 1.11316 | − | 1.28466i | ||||
\(604\) | 20.9141 | + | 6.14093i | 0.850983 | + | 0.249871i | ||||
\(605\) | −0.0136440 | + | 0.00876845i | −0.000554706 | + | 0.000356488i | ||||
\(606\) | −0.437285 | − | 0.957520i | −0.0177635 | − | 0.0388966i | ||||
\(607\) | 13.3615 | + | 15.4200i | 0.542326 | + | 0.625877i | 0.959078 | − | 0.283143i | \(-0.0913771\pi\) |
−0.416752 | + | 0.909020i | \(0.636832\pi\) | |||||||
\(608\) | 3.94262 | + | 2.53377i | 0.159894 | + | 0.102758i | ||||
\(609\) | −1.89704 | + | 13.1942i | −0.0768719 | + | 0.534656i | ||||
\(610\) | 3.78210 | − | 26.3051i | 0.153133 | − | 1.06506i | ||||
\(611\) | 7.87763 | + | 5.06265i | 0.318695 | + | 0.204813i | ||||
\(612\) | 12.5632 | + | 14.4987i | 0.507837 | + | 0.586075i | ||||
\(613\) | −7.68875 | − | 16.8360i | −0.310546 | − | 0.680000i | 0.688428 | − | 0.725305i | \(-0.258301\pi\) |
−0.998973 | + | 0.0453051i | \(0.985574\pi\) | |||||||
\(614\) | 0.596905 | − | 0.383608i | 0.0240891 | − | 0.0154811i | ||||
\(615\) | 27.5618 | + | 8.09287i | 1.11140 | + | 0.326336i | ||||
\(616\) | 2.17148 | − | 2.50603i | 0.0874916 | − | 0.100971i | ||||
\(617\) | −24.3378 | + | 7.14622i | −0.979803 | + | 0.287696i | −0.732143 | − | 0.681151i | \(-0.761480\pi\) |
−0.247660 | + | 0.968847i | \(0.579662\pi\) | |||||||
\(618\) | 2.33073 | − | 5.10358i | 0.0937555 | − | 0.205296i | ||||
\(619\) | −3.80527 | − | 26.4663i | −0.152947 | − | 1.06377i | −0.911246 | − | 0.411862i | \(-0.864879\pi\) |
0.758299 | − | 0.651906i | \(-0.226031\pi\) | |||||||
\(620\) | 6.12501 | 0.245986 | ||||||||
\(621\) | −12.7592 | + | 14.0400i | −0.512010 | + | 0.563407i | ||||
\(622\) | 18.9805 | 0.761050 | ||||||||
\(623\) | −0.844515 | − | 5.87373i | −0.0338348 | − | 0.235326i | ||||
\(624\) | 6.45737 | − | 14.1397i | 0.258502 | − | 0.566039i | ||||
\(625\) | 0.530733 | − | 0.155837i | 0.0212293 | − | 0.00623349i | ||||
\(626\) | 10.4200 | − | 12.0253i | 0.416466 | − | 0.480627i | ||||
\(627\) | −40.6975 | − | 11.9499i | −1.62530 | − | 0.477231i | ||||
\(628\) | 5.21296 | − | 3.35017i | 0.208020 | − | 0.133686i | ||||
\(629\) | −16.2252 | − | 35.5281i | −0.646940 | − | 1.41660i | ||||
\(630\) | −10.5219 | − | 12.1429i | −0.419203 | − | 0.483786i | ||||
\(631\) | 21.0875 | + | 13.5521i | 0.839481 | + | 0.539502i | 0.888278 | − | 0.459307i | \(-0.151902\pi\) |
−0.0487965 | + | 0.998809i | \(0.515539\pi\) | |||||||
\(632\) | 1.44221 | − | 10.0308i | 0.0573682 | − | 0.399004i | ||||
\(633\) | −10.1895 | + | 70.8695i | −0.404996 | + | 2.81681i | ||||
\(634\) | 5.49913 | + | 3.53408i | 0.218398 | + | 0.140356i | ||||
\(635\) | −41.8008 | − | 48.2407i | −1.65881 | − | 1.91437i | ||||
\(636\) | 7.62263 | + | 16.6912i | 0.302257 | + | 0.661850i | ||||
\(637\) | −4.79116 | + | 3.07909i | −0.189833 | + | 0.121998i | ||||
\(638\) | −15.5387 | − | 4.56258i | −0.615184 | − | 0.180634i | ||||
\(639\) | 15.4372 | − | 17.8155i | 0.610686 | − | 0.704769i | ||||
\(640\) | −3.46488 | + | 1.01738i | −0.136962 | + | 0.0402155i | ||||
\(641\) | 5.04774 | − | 11.0530i | 0.199374 | − | 0.436567i | −0.783366 | − | 0.621560i | \(-0.786499\pi\) |
0.982740 | + | 0.184993i | \(0.0592263\pi\) | |||||||
\(642\) | 1.78221 | + | 12.3955i | 0.0703382 | + | 0.489213i | ||||
\(643\) | 17.7362 | 0.699446 | 0.349723 | − | 0.936853i | \(-0.386276\pi\) | ||||
0.349723 | + | 0.936853i | \(0.386276\pi\) | |||||||
\(644\) | 0.794555 | − | 4.72955i | 0.0313098 | − | 0.186371i | ||||
\(645\) | 95.2255 | 3.74950 | ||||||||
\(646\) | 2.87582 | + | 20.0017i | 0.113148 | + | 0.786958i | ||||
\(647\) | −19.7580 | + | 43.2641i | −0.776769 | + | 1.70089i | −0.0656205 | + | 0.997845i | \(0.520903\pi\) |
−0.711148 | + | 0.703042i | \(0.751825\pi\) | |||||||
\(648\) | 2.44787 | − | 0.718760i | 0.0961615 | − | 0.0282356i | ||||
\(649\) | −3.15203 | + | 3.63764i | −0.123728 | + | 0.142790i | ||||
\(650\) | 43.9377 | + | 12.9013i | 1.72338 | + | 0.506029i | ||||
\(651\) | −3.89446 | + | 2.50282i | −0.152636 | + | 0.0980931i | ||||
\(652\) | −3.38162 | − | 7.40472i | −0.132435 | − | 0.289991i | ||||
\(653\) | 13.7924 | + | 15.9173i | 0.539738 | + | 0.622891i | 0.958461 | − | 0.285223i | \(-0.0920676\pi\) |
−0.418723 | + | 0.908114i | \(0.637522\pi\) | |||||||
\(654\) | 39.5990 | + | 25.4488i | 1.54844 | + | 0.995125i | ||||
\(655\) | 7.67541 | − | 53.3836i | 0.299903 | − | 2.08587i | ||||
\(656\) | −0.414772 | + | 2.88480i | −0.0161941 | + | 0.112633i | ||||
\(657\) | 48.6386 | + | 31.2581i | 1.89757 | + | 1.21950i | ||||
\(658\) | 1.07672 | + | 1.24261i | 0.0419750 | + | 0.0484418i | ||||
\(659\) | 0.228094 | + | 0.499456i | 0.00888528 | + | 0.0194560i | 0.914023 | − | 0.405663i | \(-0.132959\pi\) |
−0.905137 | + | 0.425119i | \(0.860232\pi\) | |||||||
\(660\) | 27.4942 | − | 17.6694i | 1.07021 | − | 0.687782i | ||||
\(661\) | −5.34331 | − | 1.56894i | −0.207831 | − | 0.0610246i | 0.176160 | − | 0.984362i | \(-0.443632\pi\) |
−0.383991 | + | 0.923337i | \(0.625451\pi\) | |||||||
\(662\) | −3.85973 | + | 4.45437i | −0.150013 | + | 0.173124i | ||||
\(663\) | 64.3084 | − | 18.8827i | 2.49753 | − | 0.733341i | ||||
\(664\) | −5.39343 | + | 11.8100i | −0.209306 | + | 0.458316i | ||||
\(665\) | −2.40855 | − | 16.7518i | −0.0933995 | − | 0.649608i | ||||
\(666\) | 40.3044 | 1.56176 | ||||||||
\(667\) | −22.6233 | + | 6.06568i | −0.875977 | + | 0.234864i | ||||
\(668\) | −3.26048 | −0.126152 | ||||||||
\(669\) | 0.929543 | + | 6.46512i | 0.0359382 | + | 0.249956i | ||||
\(670\) | −14.0734 | + | 30.8164i | −0.543701 | + | 1.19054i | ||||
\(671\) | −23.4146 | + | 6.87513i | −0.903909 | + | 0.265412i | ||||
\(672\) | 1.78735 | − | 2.06271i | 0.0689484 | − | 0.0795707i | ||||
\(673\) | −35.2629 | − | 10.3541i | −1.35928 | − | 0.399122i | −0.480773 | − | 0.876845i | \(-0.659644\pi\) |
−0.878510 | + | 0.477723i | \(0.841462\pi\) | |||||||
\(674\) | 22.6661 | − | 14.5666i | 0.873064 | − | 0.561084i | ||||
\(675\) | −13.2131 | − | 28.9325i | −0.508571 | − | 1.11361i | ||||
\(676\) | −12.7279 | − | 14.6887i | −0.489533 | − | 0.564951i | ||||
\(677\) | −19.9133 | − | 12.7975i | −0.765332 | − | 0.491849i | 0.0988044 | − | 0.995107i | \(-0.468498\pi\) |
−0.864136 | + | 0.503258i | \(0.832135\pi\) | |||||||
\(678\) | 3.10897 | − | 21.6234i | 0.119399 | − | 0.830440i | ||||
\(679\) | 0.534299 | − | 3.71613i | 0.0205045 | − | 0.142612i | ||||
\(680\) | −13.0986 | − | 8.41799i | −0.502310 | − | 0.322815i | ||||
\(681\) | 18.2939 | + | 21.1123i | 0.701025 | + | 0.809026i | ||||
\(682\) | −2.33642 | − | 5.11604i | −0.0894660 | − | 0.195903i | ||||
\(683\) | 24.4035 | − | 15.6831i | 0.933772 | − | 0.600099i | 0.0171497 | − | 0.999853i | \(-0.494541\pi\) |
0.916622 | + | 0.399754i | \(0.130904\pi\) | |||||||
\(684\) | −20.0078 | − | 5.87481i | −0.765016 | − | 0.224629i | ||||
\(685\) | −50.5750 | + | 58.3667i | −1.93237 | + | 2.23008i | ||||
\(686\) | −0.959493 | + | 0.281733i | −0.0366336 | + | 0.0107566i | ||||
\(687\) | −8.48740 | + | 18.5848i | −0.323814 | + | 0.709055i | ||||
\(688\) | 1.37498 | + | 9.56321i | 0.0524207 | + | 0.364594i | ||||
\(689\) | 38.2892 | 1.45870 | ||||||||
\(690\) | 20.6470 | − | 42.5206i | 0.786018 | − | 1.61873i | ||||
\(691\) | −13.5473 | −0.515362 | −0.257681 | − | 0.966230i | \(-0.582958\pi\) | ||||
−0.257681 | + | 0.966230i | \(0.582958\pi\) | |||||||
\(692\) | −2.16313 | − | 15.0449i | −0.0822301 | − | 0.571923i | ||||
\(693\) | −6.12898 | + | 13.4206i | −0.232821 | + | 0.509806i | ||||
\(694\) | 4.79982 | − | 1.40935i | 0.182199 | − | 0.0534984i | ||||
\(695\) | 32.6580 | − | 37.6893i | 1.23879 | − | 1.42964i | ||||
\(696\) | −12.7899 | − | 3.75546i | −0.484801 | − | 0.142350i | ||||
\(697\) | −10.5716 | + | 6.79392i | −0.400426 | + | 0.257338i | ||||
\(698\) | −6.84629 | − | 14.9913i | −0.259136 | − | 0.567428i | ||||
\(699\) | 11.4895 | + | 13.2596i | 0.434573 | + | 0.501524i | ||||
\(700\) | 6.76408 | + | 4.34701i | 0.255658 | + | 0.164301i | ||||
\(701\) | −1.20755 | + | 8.39870i | −0.0456086 | + | 0.317214i | 0.954227 | + | 0.299083i | \(0.0966808\pi\) |
−0.999836 | + | 0.0181313i | \(0.994228\pi\) | |||||||
\(702\) | −3.20629 | + | 22.3002i | −0.121014 | + | 0.841668i | ||||
\(703\) | 35.7141 | + | 22.9520i | 1.34698 | + | 0.865653i | ||||
\(704\) | 2.17148 | + | 2.50603i | 0.0818409 | + | 0.0944494i | ||||
\(705\) | 6.73200 | + | 14.7410i | 0.253542 | + | 0.555179i | ||||
\(706\) | 8.12818 | − | 5.22366i | 0.305908 | − | 0.196595i | ||||
\(707\) | −0.370053 | − | 0.108657i | −0.0139173 | − | 0.00408648i | ||||
\(708\) | −2.59444 | + | 2.99414i | −0.0975049 | + | 0.112527i | ||||
\(709\) | −9.41555 | + | 2.76466i | −0.353608 | + | 0.103829i | −0.453712 | − | 0.891148i | \(-0.649901\pi\) |
0.100104 | + | 0.994977i | \(0.468082\pi\) | |||||||
\(710\) | −7.94785 | + | 17.4034i | −0.298278 | + | 0.653137i | ||||
\(711\) | 6.41694 | + | 44.6308i | 0.240654 | + | 1.67379i | ||||
\(712\) | 5.93413 | 0.222391 | ||||||||
\(713\) | −6.73719 | − | 4.55833i | −0.252310 | − | 0.170711i | ||||
\(714\) | 11.7683 | 0.440416 | ||||||||
\(715\) | −9.70550 | − | 67.5033i | −0.362965 | − | 2.52448i | ||||
\(716\) | 1.11101 | − | 2.43276i | 0.0415203 | − | 0.0909167i | ||||
\(717\) | −32.2442 | + | 9.46775i | −1.20418 | + | 0.353580i | ||||
\(718\) | −15.5401 | + | 17.9342i | −0.579950 | + | 0.669298i | ||||
\(719\) | −11.9974 | − | 3.52275i | −0.447427 | − | 0.131376i | 0.0502541 | − | 0.998736i | \(-0.483997\pi\) |
−0.497681 | + | 0.867360i | \(0.665815\pi\) | |||||||
\(720\) | 13.5167 | − | 8.68669i | 0.503739 | − | 0.323734i | ||||
\(721\) | −0.853948 | − | 1.86988i | −0.0318027 | − | 0.0696382i | ||||
\(722\) | −1.94118 | − | 2.24024i | −0.0722433 | − | 0.0833733i | ||||
\(723\) | 36.3108 | + | 23.3356i | 1.35041 | + | 0.867858i | ||||
\(724\) | −2.63624 | + | 18.3354i | −0.0979751 | + | 0.681431i | ||||
\(725\) | 5.58854 | − | 38.8691i | 0.207553 | − | 1.44356i | ||||
\(726\) | 0.0103123 | + | 0.00662729i | 0.000382724 | + | 0.000245962i | ||||
\(727\) | 9.41270 | + | 10.8628i | 0.349098 | + | 0.402880i | 0.902958 | − | 0.429730i | \(-0.141391\pi\) |
−0.553860 | + | 0.832610i | \(0.686846\pi\) | |||||||
\(728\) | −2.36590 | − | 5.18059i | −0.0876859 | − | 0.192005i | ||||
\(729\) | −36.7981 | + | 23.6487i | −1.36289 | + | 0.875878i | ||||
\(730\) | −45.0240 | − | 13.2202i | −1.66641 | − | 0.489303i | ||||
\(731\) | −27.2803 | + | 31.4831i | −1.00900 | + | 1.16444i | ||||
\(732\) | −19.2725 | + | 5.65892i | −0.712332 | + | 0.209160i | ||||
\(733\) | 7.66442 | − | 16.7827i | 0.283092 | − | 0.619884i | −0.713654 | − | 0.700499i | \(-0.752961\pi\) |
0.996745 | + | 0.0806144i | \(0.0256882\pi\) | |||||||
\(734\) | −0.848502 | − | 5.90146i | −0.0313188 | − | 0.217827i | ||||
\(735\) | −9.85613 | −0.363549 | ||||||||
\(736\) | 4.56834 | + | 1.45955i | 0.168391 | + | 0.0537998i | ||||
\(737\) | 31.1083 | 1.14589 | ||||||||
\(738\) | −1.84547 | − | 12.8356i | −0.0679328 | − | 0.472483i | ||||
\(739\) | −12.3473 | + | 27.0368i | −0.454203 | + | 0.994565i | 0.534568 | + | 0.845125i | \(0.320474\pi\) |
−0.988771 | + | 0.149440i | \(0.952253\pi\) | |||||||
\(740\) | −31.3865 | + | 9.21590i | −1.15379 | + | 0.338783i | ||||
\(741\) | −47.7068 | + | 55.0566i | −1.75255 | + | 2.02256i | ||||
\(742\) | 6.45067 | + | 1.89409i | 0.236811 | + | 0.0695341i | ||||
\(743\) | 6.67877 | − | 4.29218i | 0.245020 | − | 0.157465i | −0.412367 | − | 0.911018i | \(-0.635298\pi\) |
0.657387 | + | 0.753553i | \(0.271662\pi\) | |||||||
\(744\) | −1.92310 | − | 4.21101i | −0.0705044 | − | 0.154383i | ||||
\(745\) | −29.5450 | − | 34.0968i | −1.08245 | − | 1.24921i | ||||
\(746\) | −16.7007 | − | 10.7329i | −0.611456 | − | 0.392959i | ||||
\(747\) | 8.22113 | − | 57.1792i | 0.300796 | − | 2.09208i | ||||
\(748\) | −2.03475 | + | 14.1520i | −0.0743977 | + | 0.517448i | ||||
\(749\) | 3.85989 | + | 2.48060i | 0.141037 | + | 0.0906393i | ||||
\(750\) | 19.6244 | + | 22.6478i | 0.716583 | + | 0.826980i | ||||
\(751\) | −1.69045 | − | 3.70157i | −0.0616854 | − | 0.135072i | 0.876279 | − | 0.481805i | \(-0.160018\pi\) |
−0.937964 | + | 0.346732i | \(0.887291\pi\) | |||||||
\(752\) | −1.38319 | + | 0.888923i | −0.0504398 | + | 0.0324157i | ||||
\(753\) | −31.1664 | − | 9.15129i | −1.13577 | − | 0.333491i | ||||
\(754\) | −18.2150 | + | 21.0212i | −0.663350 | + | 0.765547i | ||||
\(755\) | 75.5242 | − | 22.1759i | 2.74861 | − | 0.807063i | ||||
\(756\) | −1.64332 | + | 3.59836i | −0.0597669 | + | 0.130871i | ||||
\(757\) | 3.17940 | + | 22.1132i | 0.115557 | + | 0.803719i | 0.962353 | + | 0.271801i | \(0.0876193\pi\) |
−0.846796 | + | 0.531918i | \(0.821472\pi\) | |||||||
\(758\) | −13.3082 | −0.483375 | ||||||||
\(759\) | −43.3920 | − | 1.02615i | −1.57503 | − | 0.0372469i | ||||
\(760\) | 16.9241 | 0.613901 | ||||||||
\(761\) | −4.78724 | − | 33.2960i | −0.173537 | − | 1.20698i | −0.871337 | − | 0.490686i | \(-0.836746\pi\) |
0.697799 | − | 0.716293i | \(-0.254163\pi\) | |||||||
\(762\) | −20.0415 | + | 43.8848i | −0.726028 | + | 1.58978i | ||||
\(763\) | 16.5478 | − | 4.85887i | 0.599070 | − | 0.175903i | ||||
\(764\) | 9.68614 | − | 11.1784i | 0.350432 | − | 0.404420i | ||||
\(765\) | 66.4722 | + | 19.5180i | 2.40331 | + | 0.705674i | ||||
\(766\) | 8.07858 | − | 5.19179i | 0.291891 | − | 0.187587i | ||||
\(767\) | 3.43424 | + | 7.51993i | 0.124003 | + | 0.271529i | ||||
\(768\) | 1.78735 | + | 2.06271i | 0.0644953 | + | 0.0744316i | ||||
\(769\) | 15.2326 | + | 9.78943i | 0.549303 | + | 0.353016i | 0.785668 | − | 0.618649i | \(-0.212320\pi\) |
−0.236364 | + | 0.971664i | \(0.575956\pi\) | |||||||
\(770\) | 1.70414 | − | 11.8525i | 0.0614128 | − | 0.427136i | ||||
\(771\) | 1.00411 | − | 6.98371i | 0.0361620 | − | 0.251512i | ||||
\(772\) | −7.94420 | − | 5.10543i | −0.285918 | − | 0.183748i | ||||
\(773\) | 9.82196 | + | 11.3351i | 0.353271 | + | 0.407697i | 0.904374 | − | 0.426741i | \(-0.140338\pi\) |
−0.551103 | + | 0.834437i | \(0.685793\pi\) | |||||||
\(774\) | −17.8578 | − | 39.1031i | −0.641885 | − | 1.40553i | ||||
\(775\) | 11.4728 | − | 7.37311i | 0.412115 | − | 0.264850i | ||||
\(776\) | 3.60227 | + | 1.05772i | 0.129314 | + | 0.0379700i | ||||
\(777\) | 16.1906 | − | 18.6849i | 0.580834 | − | 0.670319i | ||||
\(778\) | 8.23153 | − | 2.41700i | 0.295115 | − | 0.0866535i | ||||
\(779\) | 5.67413 | − | 12.4246i | 0.203297 | − | 0.445158i | ||||
\(780\) | −7.98859 | − | 55.5619i | −0.286037 | − | 1.98943i | ||||
\(781\) | 17.5683 | 0.628642 | ||||||||
\(782\) | 8.14302 | + | 19.0075i | 0.291194 | + | 0.679709i | ||||
\(783\) | 19.3199 | 0.690438 | ||||||||
\(784\) | −0.142315 | − | 0.989821i | −0.00508267 | − | 0.0353508i | ||||
\(785\) | 9.29580 | − | 20.3550i | 0.331781 | − | 0.726500i | ||||
\(786\) | −39.1117 | + | 11.4842i | −1.39507 | + | 0.409629i | ||||
\(787\) | 10.0221 | − | 11.5662i | 0.357250 | − | 0.412289i | −0.548466 | − | 0.836173i | \(-0.684788\pi\) |
0.905717 | + | 0.423884i | \(0.139334\pi\) | |||||||
\(788\) | 14.6988 | + | 4.31596i | 0.523624 | + | 0.153750i | ||||
\(789\) | 28.9175 | − | 18.5841i | 1.02949 | − | 0.661613i | ||||
\(790\) | −15.2023 | − | 33.2883i | −0.540872 | − | 1.18434i | ||||
\(791\) | −5.24150 | − | 6.04901i | −0.186366 | − | 0.215078i | ||||
\(792\) | −12.4118 | − | 7.97655i | −0.441032 | − | 0.283434i | ||||
\(793\) | −5.96486 | + | 41.4865i | −0.211818 | + | 1.47323i | ||||
\(794\) | −5.03528 | + | 35.0211i | −0.178695 | + | 1.24285i | ||||
\(795\) | 55.7437 | + | 35.8243i | 1.97703 | + | 1.27056i | ||||
\(796\) | 4.54288 | + | 5.24276i | 0.161018 | + | 0.185825i | ||||
\(797\) | −9.17470 | − | 20.0898i | −0.324984 | − | 0.711617i | 0.674664 | − | 0.738125i | \(-0.264288\pi\) |
−0.999649 | + | 0.0265082i | \(0.991561\pi\) | |||||||
\(798\) | −10.7608 | + | 6.91555i | −0.380929 | + | 0.244808i | ||||
\(799\) | −6.80220 | − | 1.99731i | −0.240645 | − | 0.0706597i | ||||
\(800\) | −5.26539 | + | 6.07659i | −0.186160 | + | 0.214840i | ||||
\(801\) | −25.3336 | + | 7.43863i | −0.895120 | + | 0.262831i | ||||
\(802\) | 0.951157 | − | 2.08274i | 0.0335865 | − | 0.0735442i | ||||
\(803\) | 6.13216 | + | 42.6501i | 0.216399 | + | 1.50509i | ||||
\(804\) | 25.6052 | 0.903027 | ||||||||
\(805\) | −6.81992 | − | 15.9192i | −0.240371 | − | 0.561077i | ||||
\(806\) | −9.65993 | −0.340256 | ||||||||
\(807\) | −5.58264 | − | 38.8281i | −0.196518 | − | 1.36681i | ||||
\(808\) | 0.160215 | − | 0.350823i | 0.00563636 | − | 0.0123419i | ||||
\(809\) | 10.7161 | − | 3.14652i | 0.376757 | − | 0.110626i | −0.0878711 | − | 0.996132i | \(-0.528006\pi\) |
0.464628 | + | 0.885506i | \(0.346188\pi\) | |||||||
\(810\) | 6.03313 | − | 6.96260i | 0.211982 | − | 0.244641i | ||||
\(811\) | −4.96653 | − | 1.45831i | −0.174399 | − | 0.0512081i | 0.193367 | − | 0.981126i | \(-0.438059\pi\) |
−0.367766 | + | 0.929918i | \(0.619877\pi\) | |||||||
\(812\) | −4.10859 | + | 2.64043i | −0.144183 | + | 0.0926610i | ||||
\(813\) | 22.7674 | + | 49.8537i | 0.798489 | + | 1.74845i | ||||
\(814\) | 19.6703 | + | 22.7007i | 0.689443 | + | 0.795660i | ||||
\(815\) | −24.7296 | − | 15.8927i | −0.866239 | − | 0.556698i | ||||
\(816\) | −1.67480 | + | 11.6485i | −0.0586297 | + | 0.407778i | ||||
\(817\) | 6.44400 | − | 44.8190i | 0.225447 | − | 1.56802i | ||||
\(818\) | 12.7213 | + | 8.17550i | 0.444791 | + | 0.285850i | ||||
\(819\) | 16.5944 | + | 19.1509i | 0.579855 | + | 0.669188i | ||||
\(820\) | 4.37208 | + | 9.57352i | 0.152680 | + | 0.334322i | ||||
\(821\) | −9.46810 | + | 6.08478i | −0.330439 | + | 0.212360i | −0.695331 | − | 0.718690i | \(-0.744742\pi\) |
0.364892 | + | 0.931050i | \(0.381106\pi\) | |||||||
\(822\) | 56.0070 | + | 16.4451i | 1.95347 | + | 0.573590i | ||||
\(823\) | 29.4973 | − | 34.0417i | 1.02821 | − | 1.18662i | 0.0459806 | − | 0.998942i | \(-0.485359\pi\) |
0.982231 | − | 0.187677i | \(-0.0600958\pi\) | |||||||
\(824\) | 1.97238 | − | 0.579143i | 0.0687112 | − | 0.0201754i | ||||
\(825\) | 30.2295 | − | 66.1934i | 1.05246 | − | 2.30456i | ||||
\(826\) | 0.206578 | + | 1.43678i | 0.00718778 | + | 0.0499921i | ||||
\(827\) | 0.0591853 | 0.00205807 | 0.00102904 | − | 0.999999i | \(-0.499672\pi\) | ||||
0.00102904 | + | 0.999999i | \(0.499672\pi\) | |||||||
\(828\) | −21.3325 | − | 0.504477i | −0.741354 | − | 0.0175318i | ||||
\(829\) | 51.8203 | 1.79980 | 0.899898 | − | 0.436101i | \(-0.143641\pi\) | ||||
0.899898 | + | 0.436101i | \(0.143641\pi\) | |||||||
\(830\) | 6.67237 | + | 46.4073i | 0.231601 | + | 1.61082i | ||||
\(831\) | 32.3816 | − | 70.9058i | 1.12331 | − | 2.45970i | ||||
\(832\) | 5.46456 | − | 1.60454i | 0.189450 | − | 0.0556274i | ||||
\(833\) | 2.82359 | − | 3.25860i | 0.0978316 | − | 0.112904i | ||||
\(834\) | −36.1656 | − | 10.6192i | −1.25231 | − | 0.367712i | ||||
\(835\) | −9.90502 | + | 6.36557i | −0.342777 | + | 0.220290i | ||||
\(836\) | −6.45577 | − | 14.1362i | −0.223278 | − | 0.488910i | ||||
\(837\) | 4.39388 | + | 5.07081i | 0.151875 | + | 0.175273i | ||||
\(838\) | 22.2740 | + | 14.3146i | 0.769442 | + | 0.494491i | ||||
\(839\) | 4.93705 | − | 34.3379i | 0.170446 | − | 1.18548i | −0.707499 | − | 0.706714i | \(-0.750177\pi\) |
0.877945 | − | 0.478762i | \(-0.158914\pi\) | |||||||
\(840\) | 1.40267 | − | 9.75581i | 0.0483968 | − | 0.336607i | ||||
\(841\) | −4.33042 | − | 2.78299i | −0.149325 | − | 0.0959652i | ||||
\(842\) | −9.00494 | − | 10.3923i | −0.310331 | − | 0.358141i | ||||
\(843\) | 32.0814 | + | 70.2485i | 1.10494 | + | 2.41949i | ||||
\(844\) | −22.0683 | + | 14.1825i | −0.759624 | + | 0.488180i | ||||
\(845\) | −67.3434 | − | 19.7738i | −2.31668 | − | 0.680239i | ||||
\(846\) | 4.79074 | − | 5.52881i | 0.164709 | − | 0.190084i | ||||
\(847\) | 0.00430932 | − | 0.00126533i | 0.000148070 | − | 4.34773e-5i | ||||
\(848\) | −2.79283 | + | 6.11545i | −0.0959063 | + | 0.210005i | ||||
\(849\) | 5.99646 | + | 41.7063i | 0.205798 | + | 1.43136i | ||||
\(850\) | −34.6684 | −1.18912 | ||||||||
\(851\) | 41.3821 | + | 13.2213i | 1.41856 | + | 0.453220i | ||||
\(852\) | 14.4604 | 0.495406 | ||||||||
\(853\) | −6.81098 | − | 47.3714i | −0.233204 | − | 1.62197i | −0.684098 | − | 0.729390i | \(-0.739804\pi\) |
0.450894 | − | 0.892577i | \(-0.351105\pi\) | |||||||
\(854\) | −3.05716 | + | 6.69425i | −0.104614 | + | 0.229073i | ||||
\(855\) | −72.2513 | + | 21.2149i | −2.47094 | + | 0.725534i | ||||
\(856\) | −3.00467 | + | 3.46758i | −0.102698 | + | 0.118519i | ||||
\(857\) | −20.4622 | − | 6.00825i | −0.698976 | − | 0.205238i | −0.0871092 | − | 0.996199i | \(-0.527763\pi\) |
−0.611867 | + | 0.790961i | \(0.709581\pi\) | |||||||
\(858\) | −43.3619 | + | 27.8670i | −1.48035 | + | 0.951363i | ||||
\(859\) | 6.28235 | + | 13.7564i | 0.214351 | + | 0.469363i | 0.986013 | − | 0.166670i | \(-0.0533014\pi\) |
−0.771662 | + | 0.636033i | \(0.780574\pi\) | |||||||
\(860\) | 22.8477 | + | 26.3677i | 0.779100 | + | 0.899129i | ||||
\(861\) | −6.69184 | − | 4.30059i | −0.228057 | − | 0.146564i | ||||
\(862\) | 0.944222 | − | 6.56721i | 0.0321603 | − | 0.223680i | ||||
\(863\) | 1.05581 | − | 7.34332i | 0.0359402 | − | 0.249970i | −0.963929 | − | 0.266161i | \(-0.914245\pi\) |
0.999869 | + | 0.0161909i | \(0.00515395\pi\) | |||||||
\(864\) | −3.32787 | − | 2.13869i | −0.113216 | − | 0.0727597i | ||||
\(865\) | −35.9442 | − | 41.4818i | −1.22214 | − | 1.41042i | ||||
\(866\) | 3.55651 | + | 7.78768i | 0.120855 | + | 0.264636i | ||||
\(867\) | −3.65332 | + | 2.34785i | −0.124073 | + | 0.0797370i | ||||
\(868\) | −1.62743 | − | 0.477856i | −0.0552386 | − | 0.0162195i | ||||
\(869\) | −22.0057 | + | 25.3960i | −0.746493 | + | 0.861499i | ||||
\(870\) | −46.1864 | + | 13.5616i | −1.56587 | + | 0.459780i | ||||
\(871\) | 22.1955 | − | 48.6013i | 0.752065 | − | 1.64679i | ||||
\(872\) | 2.45442 | + | 17.0708i | 0.0831170 | + | 0.578091i | ||||
\(873\) | −16.7045 | −0.565360 | ||||||||
\(874\) | −18.6156 | − | 12.5952i | −0.629682 | − | 0.426038i | ||||
\(875\) | 10.9796 | 0.371180 | ||||||||
\(876\) | 5.04737 | + | 35.1053i | 0.170535 | + | 1.18610i | ||||
\(877\) | 2.74050 | − | 6.00085i | 0.0925400 | − | 0.202634i | −0.857702 | − | 0.514147i | \(-0.828108\pi\) |
0.950242 | + | 0.311513i | \(0.100836\pi\) | |||||||
\(878\) | 26.9258 | − | 7.90612i | 0.908701 | − | 0.266819i | ||||
\(879\) | 4.01404 | − | 4.63245i | 0.135390 | − | 0.156249i | ||||
\(880\) | 11.4894 | + | 3.37358i | 0.387307 | + | 0.113723i | ||||
\(881\) | −28.3872 | + | 18.2434i | −0.956391 | + | 0.614635i | −0.922997 | − | 0.384807i | \(-0.874268\pi\) |
−0.0333937 | + | 0.999442i | \(0.510632\pi\) | |||||||
\(882\) | 1.84834 | + | 4.04729i | 0.0622367 | + | 0.136279i | ||||
\(883\) | 3.43571 | + | 3.96502i | 0.115621 | + | 0.133434i | 0.810609 | − | 0.585587i | \(-0.199136\pi\) |
−0.694989 | + | 0.719021i | \(0.744591\pi\) | |||||||
\(884\) | 20.6582 | + | 13.2762i | 0.694811 | + | 0.446528i | ||||
\(885\) | −2.03606 | + | 14.1611i | −0.0684415 | + | 0.476021i | ||||
\(886\) | 0.850846 | − | 5.91776i | 0.0285847 | − | 0.198811i | ||||
\(887\) | −33.7289 | − | 21.6762i | −1.13250 | − | 0.727816i | −0.166423 | − | 0.986054i | \(-0.553222\pi\) |
−0.966081 | + | 0.258238i | \(0.916858\pi\) | |||||||
\(888\) | 16.1906 | + | 18.6849i | 0.543321 | + | 0.627026i | ||||
\(889\) | 7.34296 | + | 16.0788i | 0.246275 | + | 0.539267i | ||||
\(890\) | 18.0273 | − | 11.5854i | 0.604276 | − | 0.388345i | ||||
\(891\) | −8.11701 | − | 2.38337i | −0.271930 | − | 0.0798459i | ||||
\(892\) | −1.56714 | + | 1.80858i | −0.0524718 | + | 0.0605557i | ||||
\(893\) | 7.39359 | − | 2.17095i | 0.247417 | − | 0.0726482i | ||||
\(894\) | −14.1655 | + | 31.0180i | −0.473764 | + | 1.03740i | ||||
\(895\) | −1.37446 | − | 9.55956i | −0.0459430 | − | 0.319541i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | −32.5630 | + | 67.0603i | −1.08725 | + | 2.23908i | ||||
\(898\) | 19.9898 | 0.667067 | ||||||||
\(899\) | 1.17890 | + | 8.19943i | 0.0393185 | + | 0.273466i | ||||
\(900\) | 14.8615 | − | 32.5421i | 0.495383 | − | 1.08474i | ||||
\(901\) | −27.8136 | + | 8.16681i | −0.926605 | + | 0.272076i | ||||
\(902\) | 6.32872 | − | 7.30373i | 0.210723 | − | 0.243188i | ||||
\(903\) | −25.3016 | − | 7.42923i | −0.841985 | − | 0.247229i | ||||
\(904\) | 6.73338 | − | 4.32728i | 0.223949 | − | 0.143923i | ||||
\(905\) | 27.7884 | + | 60.8481i | 0.923718 | + | 2.02266i | ||||
\(906\) | −38.9589 | − | 44.9609i | −1.29432 | − | 1.49373i | ||||
\(907\) | −23.2349 | − | 14.9322i | −0.771504 | − | 0.495815i | 0.0947002 | − | 0.995506i | \(-0.469811\pi\) |
−0.866204 | + | 0.499690i | \(0.833447\pi\) | |||||||
\(908\) | −1.45663 | + | 10.1311i | −0.0483399 | + | 0.336211i | ||||
\(909\) | −0.244214 | + | 1.69855i | −0.00810007 | + | 0.0563372i | ||||
\(910\) | −17.3016 | − | 11.1191i | −0.573544 | − | 0.368594i | ||||
\(911\) | −9.38550 | − | 10.8314i | −0.310955 | − | 0.358862i | 0.578663 | − | 0.815567i | \(-0.303575\pi\) |
−0.889618 | + | 0.456705i | \(0.849029\pi\) | |||||||
\(912\) | −5.31374 | − | 11.6355i | −0.175956 | − | 0.385289i | ||||
\(913\) | 36.2174 | − | 23.2755i | 1.19862 | − | 0.770307i | ||||
\(914\) | 23.9416 | + | 7.02988i | 0.791917 | + | 0.232528i | ||||
\(915\) | −47.4998 | + | 54.8177i | −1.57030 | + | 1.81222i | ||||
\(916\) | −7.18248 | + | 2.10897i | −0.237316 | + | 0.0696822i | ||||
\(917\) | −6.20422 | + | 13.5853i | −0.204881 | + | 0.448627i | ||||
\(918\) | −2.42740 | − | 16.8830i | −0.0801163 | − | 0.557221i | ||||
\(919\) | 37.3401 | 1.23173 | 0.615867 | − | 0.787850i | \(-0.288806\pi\) | ||||
0.615867 | + | 0.787850i | \(0.288806\pi\) | |||||||
\(920\) | 16.7277 | − | 4.48497i | 0.551496 | − | 0.147865i | ||||
\(921\) | −1.93659 | −0.0638129 | ||||||||
\(922\) | 2.32675 | + | 16.1829i | 0.0766274 | + | 0.532956i | ||||
\(923\) | 12.5348 | − | 27.4473i | 0.412587 | − | 0.903440i | ||||
\(924\) | −8.68379 | + | 2.54979i | −0.285676 | + | 0.0838819i | ||||
\(925\) | −47.6963 | + | 55.0445i | −1.56824 | + | 1.80985i | ||||
\(926\) | 4.15105 | + | 1.21886i | 0.136412 | + | 0.0400541i | ||||
\(927\) | −7.69440 | + | 4.94489i | −0.252717 | + | 0.162411i | ||||
\(928\) | −2.02884 | − | 4.44255i | −0.0666000 | − | 0.145834i | ||||
\(929\) | −23.5556 | − | 27.1846i | −0.772833 | − | 0.891897i | 0.223737 | − | 0.974650i | \(-0.428174\pi\) |
−0.996570 | + | 0.0827525i | \(0.973629\pi\) | |||||||
\(930\) | −14.0635 | − | 9.03807i | −0.461161 | − | 0.296370i | ||||
\(931\) | −0.666973 | + | 4.63890i | −0.0218592 | + | 0.152034i | ||||
\(932\) | −0.914836 | + | 6.36282i | −0.0299664 | + | 0.208421i | ||||
\(933\) | −43.5808 | − | 28.0077i | −1.42677 | − | 0.916930i | ||||
\(934\) | −22.8489 | − | 26.3690i | −0.747639 | − | 0.862821i | ||||
\(935\) | 21.4481 | + | 46.9648i | 0.701429 | + | 1.53591i | ||||
\(936\) | −21.3176 | + | 13.7000i | −0.696789 | + | 0.447799i | ||||
\(937\) | −18.4128 | − | 5.40650i | −0.601521 | − | 0.176623i | −0.0332267 | − | 0.999448i | \(-0.510578\pi\) |
−0.568294 | + | 0.822825i | \(0.692397\pi\) | |||||||
\(938\) | 6.14353 | − | 7.09001i | 0.200593 | − | 0.231497i | ||||
\(939\) | −41.6696 | + | 12.2353i | −1.35984 | + | 0.399284i | ||||
\(940\) | −2.46652 | + | 5.40092i | −0.0804489 | + | 0.176159i | ||||
\(941\) | −1.15156 | − | 8.00927i | −0.0375398 | − | 0.261095i | 0.962405 | − | 0.271619i | \(-0.0875591\pi\) |
−0.999945 | + | 0.0105242i | \(0.996650\pi\) | |||||||
\(942\) | −16.9129 | −0.551051 | ||||||||
\(943\) | 2.31570 | − | 13.7841i | 0.0754097 | − | 0.448873i | ||||
\(944\) | −1.45156 | −0.0472442 | ||||||||
\(945\) | 2.03299 | + | 14.1398i | 0.0661333 | + | 0.459967i | ||||
\(946\) | 13.3087 | − | 29.1421i | 0.432704 | − | 0.947490i | ||||
\(947\) | −2.86107 | + | 0.840085i | −0.0929722 | + | 0.0272991i | −0.327888 | − | 0.944717i | \(-0.606337\pi\) |
0.234916 | + | 0.972016i | \(0.424519\pi\) | |||||||
\(948\) | −18.1129 | + | 20.9034i | −0.588280 | + | 0.678911i | ||||
\(949\) | 71.0086 | + | 20.8500i | 2.30504 | + | 0.676820i | ||||
\(950\) | 31.7006 | − | 20.3727i | 1.02850 | − | 0.660978i | ||||
\(951\) | −7.41155 | − | 16.2290i | −0.240336 | − | 0.526263i | ||||
\(952\) | 2.82359 | + | 3.25860i | 0.0915131 | + | 0.105612i | ||||
\(953\) | −7.93152 | − | 5.09728i | −0.256927 | − | 0.165117i | 0.405837 | − | 0.913946i | \(-0.366980\pi\) |
−0.662764 | + | 0.748829i | \(0.730617\pi\) | |||||||
\(954\) | 4.25708 | − | 29.6086i | 0.137828 | − | 0.958614i | ||||
\(955\) | 7.60149 | − | 52.8695i | 0.245978 | − | 1.71082i | ||||
\(956\) | −10.3580 | − | 6.65670i | −0.335003 | − | 0.215293i | ||||
\(957\) | 28.9456 | + | 33.4050i | 0.935679 | + | 1.07983i | ||||
\(958\) | −5.55665 | − | 12.1674i | −0.179527 | − | 0.393110i | ||||
\(959\) | 17.9915 | − | 11.5624i | 0.580976 | − | 0.373371i | ||||
\(960\) | 9.45689 | + | 2.77679i | 0.305220 | + | 0.0896206i | ||||
\(961\) | 18.4167 | − | 21.2540i | 0.594088 | − | 0.685614i | ||||
\(962\) | 49.5005 | − | 14.5347i | 1.59596 | − | 0.468616i | ||||
\(963\) | 8.48065 | − | 18.5700i | 0.273285 | − | 0.598411i | ||||
\(964\) | 2.25061 | + | 15.6533i | 0.0724872 | + | 0.504159i | ||||
\(965\) | −34.1012 | −1.09776 | ||||||||
\(966\) | −8.80329 | + | 9.68698i | −0.283241 | + | 0.311674i | ||||
\(967\) | −21.7050 | −0.697984 | −0.348992 | − | 0.937126i | \(-0.613476\pi\) | ||||
−0.348992 | + | 0.937126i | \(0.613476\pi\) | |||||||
\(968\) | 0.000639172 | 0.00444554i | 2.05438e−5 | 0.000142885i | ||||||
\(969\) | 22.9115 | − | 50.1691i | 0.736023 | − | 1.61166i | ||||
\(970\) | 13.0084 | − | 3.81960i | 0.417673 | − | 0.122640i | ||||
\(971\) | 32.9832 | − | 38.0646i | 1.05848 | − | 1.22155i | 0.0841444 | − | 0.996454i | \(-0.473184\pi\) |
0.974336 | − | 0.225098i | \(-0.0722702\pi\) | |||||||
\(972\) | −18.0679 | − | 5.30522i | −0.579529 | − | 0.170165i | ||||
\(973\) | −11.6177 | + | 7.46625i | −0.372447 | + | 0.239357i | ||||
\(974\) | 11.7543 | + | 25.7384i | 0.376633 | + | 0.824711i | ||||
\(975\) | −81.8472 | − | 94.4567i | −2.62121 | − | 3.02504i | ||||
\(976\) | −6.19104 | − | 3.97874i | −0.198170 | − | 0.127356i | ||||
\(977\) | −0.600261 | + | 4.17490i | −0.0192040 | + | 0.133567i | −0.997168 | − | 0.0752070i | \(-0.976038\pi\) |
0.977964 | + | 0.208774i | \(0.0669473\pi\) | |||||||
\(978\) | −3.16193 | + | 21.9917i | −0.101108 | + | 0.703218i | ||||
\(979\) | −16.5536 | − | 10.6383i | −0.529054 | − | 0.340003i | ||||
\(980\) | −2.36481 | − | 2.72913i | −0.0755410 | − | 0.0871789i | ||||
\(981\) | −31.8771 | − | 69.8011i | −1.01776 | − | 2.22858i | ||||
\(982\) | −18.6948 | + | 12.0144i | −0.596574 | + | 0.383395i | ||||
\(983\) | −15.7889 | − | 4.63603i | −0.503586 | − | 0.147866i | 0.0200654 | − | 0.999799i | \(-0.493613\pi\) |
−0.523652 | + | 0.851932i | \(0.675431\pi\) | |||||||
\(984\) | 5.20916 | − | 6.01169i | 0.166062 | − | 0.191646i | ||||
\(985\) | 53.0798 | − | 15.5856i | 1.69126 | − | 0.496599i | ||||
\(986\) | 8.74785 | − | 19.1551i | 0.278588 | − | 0.610023i | ||||
\(987\) | −0.638653 | − | 4.44193i | −0.0203286 | − | 0.141388i | ||||
\(988\) | −26.6914 | −0.849168 | ||||||||
\(989\) | −5.50805 | − | 46.0066i | −0.175146 | − | 1.46293i | ||||
\(990\) | −53.2786 | −1.69331 | ||||||||
\(991\) | 7.08505 | + | 49.2776i | 0.225064 | + | 1.56535i | 0.718472 | + | 0.695556i | \(0.244842\pi\) |
−0.493408 | + | 0.869798i | \(0.664249\pi\) | |||||||
\(992\) | 0.704600 | − | 1.54286i | 0.0223711 | − | 0.0489858i | ||||
\(993\) | 15.4351 | − | 4.53215i | 0.489818 | − | 0.143824i | ||||
\(994\) | 3.46952 | − | 4.00405i | 0.110047 | − | 0.127001i | ||||
\(995\) | 24.0365 | + | 7.05774i | 0.762007 | + | 0.223745i | ||||
\(996\) | 29.8105 | − | 19.1581i | 0.944583 | − | 0.607046i | ||||
\(997\) | −22.1224 | − | 48.4414i | −0.700625 | − | 1.53415i | −0.839212 | − | 0.543804i | \(-0.816983\pi\) |
0.138587 | − | 0.990350i | \(-0.455744\pi\) | |||||||
\(998\) | −9.24884 | − | 10.6737i | −0.292767 | − | 0.337871i | ||||
\(999\) | −30.1453 | − | 19.3732i | −0.953756 | − | 0.612942i |
(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 | 322.2.i.c.141.1 | ✓ | 20 | |
23.8 | even | 11 | inner | 322.2.i.c.169.1 | yes | 20 | |
23.10 | odd | 22 | 7406.2.a.bo.1.2 | 10 | |||
23.13 | even | 11 | 7406.2.a.bp.1.2 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.i.c.141.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
322.2.i.c.169.1 | yes | 20 | 23.8 | even | 11 | inner | |
7406.2.a.bo.1.2 | 10 | 23.10 | odd | 22 | |||
7406.2.a.bp.1.2 | 10 | 23.13 | even | 11 |