Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(11,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([24, 15, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bl (of order \(48\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 11.7 | ||
Character | \(\chi\) | \(=\) | 576.11 |
Dual form | 576.2.bl.a.419.7 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{5}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37786 | + | 0.318576i | −0.974297 | + | 0.225267i | ||||
\(3\) | −0.139389 | − | 1.72643i | −0.0804763 | − | 0.996757i | ||||
\(4\) | 1.79702 | − | 0.877909i | 0.898509 | − | 0.438954i | ||||
\(5\) | −0.245576 | − | 0.121104i | −0.109825 | − | 0.0541596i | 0.386547 | − | 0.922270i | \(-0.373668\pi\) |
−0.496371 | + | 0.868110i | \(0.665335\pi\) | |||||||
\(6\) | 0.742059 | + | 2.33438i | 0.302944 | + | 0.953008i | ||||
\(7\) | 0.961138 | + | 1.25258i | 0.363276 | + | 0.473431i | 0.938854 | − | 0.344317i | \(-0.111889\pi\) |
−0.575578 | + | 0.817747i | \(0.695223\pi\) | |||||||
\(8\) | −2.19637 | + | 1.78213i | −0.776533 | + | 0.630077i | ||||
\(9\) | −2.96114 | + | 0.481292i | −0.987047 | + | 0.160431i | ||||
\(10\) | 0.376951 | + | 0.0886311i | 0.119202 | + | 0.0280276i | ||||
\(11\) | −2.50606 | − | 2.19776i | −0.755606 | − | 0.662648i | 0.192251 | − | 0.981346i | \(-0.438421\pi\) |
−0.947856 | + | 0.318697i | \(0.896755\pi\) | |||||||
\(12\) | −1.76613 | − | 2.98006i | −0.509839 | − | 0.860270i | ||||
\(13\) | 0.468830 | + | 0.0307287i | 0.130030 | + | 0.00852262i | 0.130279 | − | 0.991477i | \(-0.458413\pi\) |
−0.000249145 | 1.00000i | \(0.500079\pi\) | ||||||||
\(14\) | −1.72336 | − | 1.41969i | −0.460587 | − | 0.379428i | ||||
\(15\) | −0.174848 | + | 0.440850i | −0.0451456 | + | 0.113827i | ||||
\(16\) | 2.45855 | − | 3.15524i | 0.614638 | − | 0.788809i | ||||
\(17\) | −4.48441 | − | 4.48441i | −1.08763 | − | 1.08763i | −0.995772 | − | 0.0918566i | \(-0.970720\pi\) |
−0.0918566 | − | 0.995772i | \(-0.529280\pi\) | |||||||
\(18\) | 3.92672 | − | 1.60650i | 0.925537 | − | 0.378656i | ||||
\(19\) | −1.86202 | + | 2.78672i | −0.427178 | + | 0.639317i | −0.981157 | − | 0.193214i | \(-0.938109\pi\) |
0.553979 | + | 0.832531i | \(0.313109\pi\) | |||||||
\(20\) | −0.547623 | − | 0.00203412i | −0.122452 | − | 0.000454843i | ||||
\(21\) | 2.02852 | − | 1.83394i | 0.442660 | − | 0.400198i | ||||
\(22\) | 4.15316 | + | 2.22984i | 0.885457 | + | 0.475403i | ||||
\(23\) | 3.20641 | − | 4.17867i | 0.668582 | − | 0.871313i | −0.328742 | − | 0.944420i | \(-0.606625\pi\) |
0.997324 | + | 0.0731064i | \(0.0232913\pi\) | |||||||
\(24\) | 3.38287 | + | 3.54347i | 0.690525 | + | 0.723308i | ||||
\(25\) | −2.99817 | − | 3.90729i | −0.599633 | − | 0.781457i | ||||
\(26\) | −0.655773 | + | 0.107018i | −0.128608 | + | 0.0209879i | ||||
\(27\) | 1.24367 | + | 5.04513i | 0.239344 | + | 0.970935i | ||||
\(28\) | 2.82683 | + | 1.40712i | 0.534221 | + | 0.265920i | ||||
\(29\) | −1.39807 | + | 4.11859i | −0.259615 | + | 0.764803i | 0.736475 | + | 0.676465i | \(0.236489\pi\) |
−0.996091 | + | 0.0883379i | \(0.971844\pi\) | |||||||
\(30\) | 0.100473 | − | 0.663134i | 0.0183437 | − | 0.121071i | ||||
\(31\) | −2.61957 | − | 4.53723i | −0.470489 | − | 0.814911i | 0.528941 | − | 0.848658i | \(-0.322589\pi\) |
−0.999430 | + | 0.0337475i | \(0.989256\pi\) | |||||||
\(32\) | −2.38237 | + | 5.13072i | −0.421147 | + | 0.906992i | ||||
\(33\) | −3.44496 | + | 4.63289i | −0.599691 | + | 0.806482i | ||||
\(34\) | 7.60753 | + | 4.75028i | 1.30468 | + | 0.814667i | ||||
\(35\) | −0.0843391 | − | 0.424001i | −0.0142559 | − | 0.0716693i | ||||
\(36\) | −4.89870 | + | 3.46450i | −0.816449 | + | 0.577417i | ||||
\(37\) | −7.67080 | + | 5.12546i | −1.26107 | + | 0.842621i | −0.992690 | − | 0.120692i | \(-0.961489\pi\) |
−0.268381 | + | 0.963313i | \(0.586489\pi\) | |||||||
\(38\) | 1.67784 | − | 4.43291i | 0.272181 | − | 0.719114i | ||||
\(39\) | −0.0122986 | − | 0.813687i | −0.00196936 | − | 0.130294i | ||||
\(40\) | 0.755198 | − | 0.171657i | 0.119407 | − | 0.0271413i | ||||
\(41\) | −4.44905 | − | 3.41387i | −0.694825 | − | 0.533158i | 0.199878 | − | 0.979821i | \(-0.435946\pi\) |
−0.894702 | + | 0.446663i | \(0.852612\pi\) | |||||||
\(42\) | −2.21078 | + | 3.17315i | −0.341131 | + | 0.489628i | ||||
\(43\) | 4.90699 | + | 4.30332i | 0.748309 | + | 0.656250i | 0.946056 | − | 0.324004i | \(-0.105029\pi\) |
−0.197747 | + | 0.980253i | \(0.563362\pi\) | |||||||
\(44\) | −6.43287 | − | 1.74932i | −0.969791 | − | 0.263719i | ||||
\(45\) | 0.785471 | + | 0.240414i | 0.117091 | + | 0.0358388i | ||||
\(46\) | −3.08677 | + | 6.77913i | −0.455119 | + | 0.999528i | ||||
\(47\) | 0.164065 | + | 0.612298i | 0.0239313 | + | 0.0893129i | 0.976859 | − | 0.213886i | \(-0.0686121\pi\) |
−0.952927 | + | 0.303199i | \(0.901945\pi\) | |||||||
\(48\) | −5.79000 | − | 3.80472i | −0.835714 | − | 0.549164i | ||||
\(49\) | 1.16656 | − | 4.35368i | 0.166652 | − | 0.621954i | ||||
\(50\) | 5.37583 | + | 4.42857i | 0.760258 | + | 0.626294i | ||||
\(51\) | −7.11695 | + | 8.36711i | −0.996573 | + | 1.17163i | ||||
\(52\) | 0.869473 | − | 0.356370i | 0.120574 | − | 0.0494196i | ||||
\(53\) | −6.57551 | − | 1.30795i | −0.903216 | − | 0.179661i | −0.278429 | − | 0.960457i | \(-0.589814\pi\) |
−0.624786 | + | 0.780796i | \(0.714814\pi\) | |||||||
\(54\) | −3.32086 | − | 6.55529i | −0.451912 | − | 0.892063i | ||||
\(55\) | 0.349269 | + | 0.843210i | 0.0470954 | + | 0.113698i | ||||
\(56\) | −4.34327 | − | 1.03826i | −0.580393 | − | 0.138743i | ||||
\(57\) | 5.07063 | + | 2.82622i | 0.671621 | + | 0.374342i | ||||
\(58\) | 0.614271 | − | 6.12025i | 0.0806577 | − | 0.803628i | ||||
\(59\) | −6.50232 | + | 13.1854i | −0.846530 | + | 1.71659i | −0.163059 | + | 0.986616i | \(0.552136\pi\) |
−0.683471 | + | 0.729978i | \(0.739530\pi\) | |||||||
\(60\) | 0.0728208 | + | 0.945717i | 0.00940113 | + | 0.122092i | ||||
\(61\) | 4.18111 | − | 12.3172i | 0.535337 | − | 1.57705i | −0.256645 | − | 0.966506i | \(-0.582617\pi\) |
0.791981 | − | 0.610545i | \(-0.209050\pi\) | |||||||
\(62\) | 5.05487 | + | 5.41716i | 0.641969 | + | 0.687979i | ||||
\(63\) | −3.44892 | − | 3.24648i | −0.434523 | − | 0.409018i | ||||
\(64\) | 1.64806 | − | 7.82840i | 0.206007 | − | 0.978550i | ||||
\(65\) | −0.111412 | − | 0.0643236i | −0.0138189 | − | 0.00797837i | ||||
\(66\) | 3.27076 | − | 7.48097i | 0.402603 | − | 0.920844i | ||||
\(67\) | 1.62771 | − | 1.42747i | 0.198857 | − | 0.174393i | −0.554126 | − | 0.832433i | \(-0.686948\pi\) |
0.752983 | + | 0.658040i | \(0.228614\pi\) | |||||||
\(68\) | −11.9955 | − | 4.12167i | −1.45466 | − | 0.499825i | ||||
\(69\) | −7.66114 | − | 4.95319i | −0.922292 | − | 0.596294i | ||||
\(70\) | 0.251284 | + | 0.557347i | 0.0300342 | + | 0.0666158i | ||||
\(71\) | −4.92134 | − | 2.03849i | −0.584055 | − | 0.241924i | 0.0710354 | − | 0.997474i | \(-0.477370\pi\) |
−0.655091 | + | 0.755550i | \(0.727370\pi\) | |||||||
\(72\) | 5.64603 | − | 6.33422i | 0.665391 | − | 0.746495i | ||||
\(73\) | −8.43762 | + | 3.49498i | −0.987548 | + | 0.409056i | −0.817216 | − | 0.576331i | \(-0.804484\pi\) |
−0.170332 | + | 0.985387i | \(0.554484\pi\) | |||||||
\(74\) | 8.93647 | − | 9.50592i | 1.03884 | − | 1.10504i | ||||
\(75\) | −6.32776 | + | 5.72077i | −0.730666 | + | 0.660577i | ||||
\(76\) | −0.899611 | + | 6.64247i | −0.103192 | + | 0.761944i | ||||
\(77\) | 0.344194 | − | 5.25139i | 0.0392246 | − | 0.598451i | ||||
\(78\) | 0.276167 | + | 1.11723i | 0.0312697 | + | 0.126502i | ||||
\(79\) | −0.0695192 | − | 0.259449i | −0.00782153 | − | 0.0291903i | 0.961905 | − | 0.273385i | \(-0.0881432\pi\) |
−0.969726 | + | 0.244194i | \(0.921477\pi\) | |||||||
\(80\) | −0.985874 | + | 0.477107i | −0.110224 | + | 0.0533422i | ||||
\(81\) | 8.53672 | − | 2.85034i | 0.948524 | − | 0.316705i | ||||
\(82\) | 7.21776 | + | 3.28650i | 0.797068 | + | 0.362933i | ||||
\(83\) | 9.48151 | − | 4.67576i | 1.04073 | − | 0.513232i | 0.160133 | − | 0.987095i | \(-0.448808\pi\) |
0.880598 | + | 0.473864i | \(0.157141\pi\) | |||||||
\(84\) | 2.03526 | − | 5.07647i | 0.222066 | − | 0.553889i | ||||
\(85\) | 0.558179 | + | 1.64434i | 0.0605431 | + | 0.178354i | ||||
\(86\) | −8.13210 | − | 4.36614i | −0.876907 | − | 0.470812i | ||||
\(87\) | 7.30534 | + | 1.83959i | 0.783215 | + | 0.197225i | ||||
\(88\) | 9.42091 | + | 0.360965i | 1.00427 | + | 0.0384790i | ||||
\(89\) | −3.52536 | − | 1.46025i | −0.373687 | − | 0.154786i | 0.187932 | − | 0.982182i | \(-0.439821\pi\) |
−0.561619 | + | 0.827396i | \(0.689821\pi\) | |||||||
\(90\) | −1.15886 | − | 0.0810259i | −0.122155 | − | 0.00854088i | ||||
\(91\) | 0.412120 | + | 0.616781i | 0.0432019 | + | 0.0646562i | ||||
\(92\) | 2.09348 | − | 10.3241i | 0.218261 | − | 1.07636i | ||||
\(93\) | −7.46809 | + | 5.15496i | −0.774404 | + | 0.534544i | ||||
\(94\) | −0.421123 | − | 0.791397i | −0.0434355 | − | 0.0816264i | ||||
\(95\) | 0.794752 | − | 0.458850i | 0.0815398 | − | 0.0470770i | ||||
\(96\) | 9.18992 | + | 3.39784i | 0.937943 | + | 0.346790i | ||||
\(97\) | 1.95736 | + | 1.13008i | 0.198740 | + | 0.114743i | 0.596068 | − | 0.802934i | \(-0.296729\pi\) |
−0.397328 | + | 0.917677i | \(0.630062\pi\) | |||||||
\(98\) | −0.220390 | + | 6.37042i | −0.0222628 | + | 0.643509i | ||||
\(99\) | 8.47856 | + | 5.30172i | 0.852127 | + | 0.532843i | ||||
\(100\) | −8.81800 | − | 4.38935i | −0.881800 | − | 0.438935i | ||||
\(101\) | 0.280073 | − | 0.0183570i | 0.0278683 | − | 0.00182659i | −0.0514626 | − | 0.998675i | \(-0.516388\pi\) |
0.0793309 | + | 0.996848i | \(0.474722\pi\) | |||||||
\(102\) | 7.14064 | − | 13.7960i | 0.707028 | − | 1.36601i | ||||
\(103\) | 0.268214 | + | 2.03729i | 0.0264279 | + | 0.200740i | 0.999565 | − | 0.0294856i | \(-0.00938693\pi\) |
−0.973137 | + | 0.230226i | \(0.926054\pi\) | |||||||
\(104\) | −1.08449 | + | 0.768022i | −0.106343 | + | 0.0753108i | ||||
\(105\) | −0.720253 | + | 0.204707i | −0.0702895 | + | 0.0199773i | ||||
\(106\) | 9.47684 | − | 0.292621i | 0.920472 | − | 0.0284219i | ||||
\(107\) | 6.64293 | + | 1.32136i | 0.642196 | + | 0.127741i | 0.505437 | − | 0.862864i | \(-0.331331\pi\) |
0.136759 | + | 0.990604i | \(0.456331\pi\) | |||||||
\(108\) | 6.66405 | + | 7.97436i | 0.641249 | + | 0.767333i | ||||
\(109\) | −9.19587 | − | 6.14448i | −0.880804 | − | 0.588535i | 0.0308355 | − | 0.999524i | \(-0.490183\pi\) |
−0.911640 | + | 0.410990i | \(0.865183\pi\) | |||||||
\(110\) | −0.749872 | − | 1.05056i | −0.0714975 | − | 0.100167i | ||||
\(111\) | 9.91799 | + | 12.5287i | 0.941374 | + | 1.18917i | ||||
\(112\) | 6.31519 | + | 0.0469156i | 0.596730 | + | 0.00443311i | ||||
\(113\) | 16.6243 | + | 4.45448i | 1.56389 | + | 0.419042i | 0.933891 | − | 0.357558i | \(-0.116390\pi\) |
0.629995 | + | 0.776600i | \(0.283057\pi\) | |||||||
\(114\) | −7.88700 | − | 2.27877i | −0.738685 | − | 0.213427i | ||||
\(115\) | −1.29347 | + | 0.637870i | −0.120617 | + | 0.0594816i | ||||
\(116\) | 1.10338 | + | 8.62856i | 0.102446 | + | 0.801142i | ||||
\(117\) | −1.40306 | + | 0.134652i | −0.129713 | + | 0.0124486i | ||||
\(118\) | 4.75876 | − | 20.2392i | 0.438080 | − | 1.86317i | ||||
\(119\) | 1.30694 | − | 9.92721i | 0.119807 | − | 0.910026i | ||||
\(120\) | −0.401620 | − | 1.27987i | −0.0366627 | − | 0.116836i | ||||
\(121\) | 0.0144192 | + | 0.109525i | 0.00131084 | + | 0.00995678i | ||||
\(122\) | −1.83705 | + | 18.3034i | −0.166319 | + | 1.65711i | ||||
\(123\) | −5.27368 | + | 8.15684i | −0.475511 | + | 0.735477i | ||||
\(124\) | −8.69069 | − | 5.85375i | −0.780447 | − | 0.525682i | ||||
\(125\) | 0.530178 | + | 2.66539i | 0.0474206 | + | 0.238399i | ||||
\(126\) | 5.78639 | + | 3.37446i | 0.515493 | + | 0.300621i | ||||
\(127\) | 8.15273i | 0.723437i | 0.932287 | + | 0.361719i | \(0.117810\pi\) | ||||
−0.932287 | + | 0.361719i | \(0.882190\pi\) | |||||||
\(128\) | 0.223142 | + | 11.3115i | 0.0197231 | + | 0.999805i | ||||
\(129\) | 6.74541 | − | 9.07143i | 0.593900 | − | 0.798695i | ||||
\(130\) | 0.174002 | + | 0.0531361i | 0.0152610 | + | 0.00466035i | ||||
\(131\) | −4.64389 | − | 5.29534i | −0.405738 | − | 0.462656i | 0.512498 | − | 0.858688i | \(-0.328720\pi\) |
−0.918237 | + | 0.396032i | \(0.870387\pi\) | |||||||
\(132\) | −2.12341 | + | 11.3497i | −0.184819 | + | 0.987869i | ||||
\(133\) | −5.28025 | + | 0.346086i | −0.457855 | + | 0.0300094i | ||||
\(134\) | −1.78801 | + | 2.48541i | −0.154461 | + | 0.214706i | ||||
\(135\) | 0.305573 | − | 1.38957i | 0.0262995 | − | 0.119595i | ||||
\(136\) | 17.8412 | + | 1.85763i | 1.52987 | + | 0.159290i | ||||
\(137\) | −6.12372 | − | 0.806203i | −0.523185 | − | 0.0688786i | −0.135691 | − | 0.990751i | \(-0.543326\pi\) |
−0.387493 | + | 0.921873i | \(0.626659\pi\) | |||||||
\(138\) | 12.1340 | + | 4.38417i | 1.03291 | + | 0.373205i | ||||
\(139\) | 3.98373 | + | 11.7357i | 0.337895 | + | 0.995408i | 0.974533 | + | 0.224245i | \(0.0719915\pi\) |
−0.636637 | + | 0.771163i | \(0.719675\pi\) | |||||||
\(140\) | −0.523793 | − | 0.687896i | −0.0442686 | − | 0.0581378i | ||||
\(141\) | 1.03422 | − | 0.368595i | 0.0870973 | − | 0.0310413i | ||||
\(142\) | 7.43035 | + | 1.24094i | 0.623541 | + | 0.104137i | ||||
\(143\) | −1.10738 | − | 1.10738i | −0.0926039 | − | 0.0926039i | ||||
\(144\) | −5.76154 | + | 10.5264i | −0.480128 | + | 0.877198i | ||||
\(145\) | 0.842112 | − | 0.842112i | 0.0699336 | − | 0.0699336i | ||||
\(146\) | 10.5125 | − | 7.50362i | 0.870019 | − | 0.621004i | ||||
\(147\) | −7.67894 | − | 1.40714i | −0.633348 | − | 0.116059i | ||||
\(148\) | −9.28488 | + | 15.9448i | −0.763212 | + | 1.31066i | ||||
\(149\) | 12.8071 | − | 4.34742i | 1.04920 | − | 0.356155i | 0.256995 | − | 0.966413i | \(-0.417268\pi\) |
0.792203 | + | 0.610258i | \(0.208934\pi\) | |||||||
\(150\) | 6.89629 | − | 9.89831i | 0.563080 | − | 0.808193i | ||||
\(151\) | 2.22850 | − | 16.9272i | 0.181353 | − | 1.37751i | −0.622470 | − | 0.782644i | \(-0.713871\pi\) |
0.803823 | − | 0.594869i | \(-0.202796\pi\) | |||||||
\(152\) | −0.876589 | − | 9.43902i | −0.0711008 | − | 0.765605i | ||||
\(153\) | 15.4373 | + | 11.1207i | 1.24803 | + | 0.899052i | ||||
\(154\) | 1.19871 | + | 7.34535i | 0.0965950 | + | 0.591905i | ||||
\(155\) | 0.0938238 | + | 1.43148i | 0.00753611 | + | 0.114979i | ||||
\(156\) | −0.736443 | − | 1.45141i | −0.0589627 | − | 0.116206i | ||||
\(157\) | 17.1300 | − | 15.0226i | 1.36712 | − | 1.19893i | 0.409015 | − | 0.912528i | \(-0.365872\pi\) |
0.958108 | − | 0.286407i | \(-0.0924611\pi\) | |||||||
\(158\) | 0.178442 | + | 0.335339i | 0.0141961 | + | 0.0266781i | ||||
\(159\) | −1.34153 | + | 11.5345i | −0.106391 | + | 0.914744i | ||||
\(160\) | 1.20641 | − | 0.971465i | 0.0953747 | − | 0.0768010i | ||||
\(161\) | 8.31592 | 0.655386 | ||||||||
\(162\) | −10.8544 | + | 6.64698i | −0.852801 | + | 0.522236i | ||||
\(163\) | −5.43636 | + | 1.08136i | −0.425809 | + | 0.0846987i | −0.403343 | − | 0.915049i | \(-0.632152\pi\) |
−0.0224661 | + | 0.999748i | \(0.507152\pi\) | |||||||
\(164\) | −10.9921 | − | 2.22894i | −0.858338 | − | 0.174051i | ||||
\(165\) | 1.40706 | − | 0.720524i | 0.109540 | − | 0.0560927i | ||||
\(166\) | −11.5746 | + | 9.46315i | −0.898367 | + | 0.734483i | ||||
\(167\) | 17.6051 | − | 2.31775i | 1.36232 | − | 0.179353i | 0.586319 | − | 0.810081i | \(-0.300577\pi\) |
0.776005 | + | 0.630727i | \(0.217243\pi\) | |||||||
\(168\) | −1.18708 | + | 7.64308i | −0.0915849 | + | 0.589676i | ||||
\(169\) | −12.6699 | − | 1.66803i | −0.974610 | − | 0.128310i | ||||
\(170\) | −1.29294 | − | 2.08786i | −0.0991642 | − | 0.160131i | ||||
\(171\) | 4.17250 | − | 9.14804i | 0.319079 | − | 0.699568i | ||||
\(172\) | 12.5959 | + | 3.42525i | 0.960426 | + | 0.261173i | ||||
\(173\) | 6.85327 | + | 13.8971i | 0.521044 | + | 1.05657i | 0.985294 | + | 0.170869i | \(0.0546574\pi\) |
−0.464250 | + | 0.885704i | \(0.653676\pi\) | |||||||
\(174\) | −10.6518 | − | 0.207402i | −0.807512 | − | 0.0157231i | ||||
\(175\) | 2.01253 | − | 7.51088i | 0.152133 | − | 0.567769i | ||||
\(176\) | −13.0957 | + | 2.50391i | −0.987127 | + | 0.188740i | ||||
\(177\) | 23.6701 | + | 9.38792i | 1.77915 | + | 0.705640i | ||||
\(178\) | 5.32266 | + | 0.888933i | 0.398951 | + | 0.0666284i | ||||
\(179\) | 1.49763 | − | 2.24136i | 0.111938 | − | 0.167527i | −0.771271 | − | 0.636507i | \(-0.780379\pi\) |
0.883209 | + | 0.468980i | \(0.155379\pi\) | |||||||
\(180\) | 1.62257 | − | 0.257543i | 0.120939 | − | 0.0191961i | ||||
\(181\) | 3.71188 | − | 18.6609i | 0.275902 | − | 1.38705i | −0.555562 | − | 0.831475i | \(-0.687497\pi\) |
0.831464 | − | 0.555578i | \(-0.187503\pi\) | |||||||
\(182\) | −0.764337 | − | 0.718549i | −0.0566564 | − | 0.0532624i | ||||
\(183\) | −21.8476 | − | 5.50153i | −1.61502 | − | 0.406685i | ||||
\(184\) | 0.404469 | + | 14.8921i | 0.0298179 | + | 1.09786i | ||||
\(185\) | 2.50448 | − | 0.329721i | 0.184133 | − | 0.0242415i | ||||
\(186\) | 8.64776 | − | 9.48198i | 0.634085 | − | 0.695252i | ||||
\(187\) | 1.38256 | + | 21.0938i | 0.101103 | + | 1.54253i | ||||
\(188\) | 0.832370 | + | 0.956278i | 0.0607068 | + | 0.0697437i | ||||
\(189\) | −5.12408 | + | 6.40685i | −0.372722 | + | 0.466030i | ||||
\(190\) | −0.948881 | + | 0.885422i | −0.0688391 | + | 0.0642353i | ||||
\(191\) | 9.93603 | − | 17.2097i | 0.718946 | − | 1.24525i | −0.242471 | − | 0.970159i | \(-0.577958\pi\) |
0.961418 | − | 0.275093i | \(-0.0887086\pi\) | |||||||
\(192\) | −13.7449 | − | 1.75407i | −0.991955 | − | 0.126589i | ||||
\(193\) | −6.87149 | − | 11.9018i | −0.494620 | − | 0.856708i | 0.505360 | − | 0.862908i | \(-0.331360\pi\) |
−0.999981 | + | 0.00620082i | \(0.998026\pi\) | |||||||
\(194\) | −3.05700 | − | 0.933533i | −0.219480 | − | 0.0670238i | ||||
\(195\) | −0.0955209 | + | 0.201311i | −0.00684039 | + | 0.0144162i | ||||
\(196\) | −1.72579 | − | 8.84778i | −0.123271 | − | 0.631984i | ||||
\(197\) | 3.96476 | − | 2.64917i | 0.282478 | − | 0.188746i | −0.406257 | − | 0.913759i | \(-0.633166\pi\) |
0.688735 | + | 0.725013i | \(0.258166\pi\) | |||||||
\(198\) | −13.3713 | − | 4.60399i | −0.950257 | − | 0.327191i | ||||
\(199\) | −1.75348 | + | 4.23327i | −0.124301 | + | 0.300089i | −0.973764 | − | 0.227558i | \(-0.926926\pi\) |
0.849464 | + | 0.527647i | \(0.176926\pi\) | |||||||
\(200\) | 13.5483 | + | 3.23873i | 0.958013 | + | 0.229013i | ||||
\(201\) | −2.69131 | − | 2.61117i | −0.189830 | − | 0.184177i | ||||
\(202\) | −0.380055 | + | 0.114518i | −0.0267406 | + | 0.00805746i | ||||
\(203\) | −6.50260 | + | 2.20733i | −0.456393 | + | 0.154925i | ||||
\(204\) | −5.44374 | + | 21.2839i | −0.381138 | + | 1.49017i | ||||
\(205\) | 0.679142 | + | 1.37716i | 0.0474333 | + | 0.0961853i | ||||
\(206\) | −1.01859 | − | 2.72166i | −0.0709688 | − | 0.189627i | ||||
\(207\) | −7.48347 | + | 13.9169i | −0.520137 | + | 0.967288i | ||||
\(208\) | 1.24960 | − | 1.40372i | 0.0866442 | − | 0.0973305i | ||||
\(209\) | 10.7909 | − | 2.89140i | 0.746420 | − | 0.200003i | ||||
\(210\) | 0.927197 | − | 0.511514i | 0.0639827 | − | 0.0352978i | ||||
\(211\) | 13.5230 | + | 0.886345i | 0.930963 | + | 0.0610185i | 0.523332 | − | 0.852129i | \(-0.324689\pi\) |
0.407630 | + | 0.913147i | \(0.366355\pi\) | |||||||
\(212\) | −12.9646 | + | 3.42228i | −0.890410 | + | 0.235043i | ||||
\(213\) | −2.83333 | + | 8.78050i | −0.194136 | + | 0.601630i | ||||
\(214\) | −9.57401 | + | 0.295621i | −0.654466 | + | 0.0202083i | ||||
\(215\) | −0.683887 | − | 1.65105i | −0.0466407 | − | 0.112601i | ||||
\(216\) | −11.7226 | − | 8.86457i | −0.797622 | − | 0.603158i | ||||
\(217\) | 3.16547 | − | 7.64213i | 0.214886 | − | 0.518781i | ||||
\(218\) | 14.6281 | + | 5.53668i | 0.990743 | + | 0.374991i | ||||
\(219\) | 7.20995 | + | 14.0798i | 0.487203 | + | 0.951426i | ||||
\(220\) | 1.36790 | + | 1.20864i | 0.0922241 | + | 0.0814864i | ||||
\(221\) | −1.96462 | − | 2.24023i | −0.132155 | − | 0.150694i | ||||
\(222\) | −17.6570 | − | 14.1032i | −1.18506 | − | 0.946544i | ||||
\(223\) | 4.23315 | − | 7.33203i | 0.283473 | − | 0.490989i | −0.688765 | − | 0.724985i | \(-0.741847\pi\) |
0.972238 | + | 0.233995i | \(0.0751801\pi\) | |||||||
\(224\) | −8.71642 | + | 1.94722i | −0.582391 | + | 0.130104i | ||||
\(225\) | 10.7585 | + | 10.1270i | 0.717236 | + | 0.675136i | ||||
\(226\) | −24.3252 | − | 0.841552i | −1.61809 | − | 0.0559792i | ||||
\(227\) | −1.36088 | − | 0.461955i | −0.0903245 | − | 0.0306610i | 0.275911 | − | 0.961183i | \(-0.411020\pi\) |
−0.366236 | + | 0.930522i | \(0.619354\pi\) | |||||||
\(228\) | 11.5932 | + | 0.627231i | 0.767777 | + | 0.0415394i | ||||
\(229\) | −14.5563 | − | 7.17839i | −0.961909 | − | 0.474361i | −0.107639 | − | 0.994190i | \(-0.534329\pi\) |
−0.854270 | + | 0.519829i | \(0.825996\pi\) | |||||||
\(230\) | 1.57902 | − | 1.29097i | 0.104117 | − | 0.0851238i | ||||
\(231\) | −9.11414 | + | 0.137758i | −0.599667 | + | 0.00906378i | ||||
\(232\) | −4.26916 | − | 11.5375i | −0.280284 | − | 0.757472i | ||||
\(233\) | 17.4842 | − | 7.24221i | 1.14543 | − | 0.474453i | 0.272432 | − | 0.962175i | \(-0.412172\pi\) |
0.872999 | + | 0.487722i | \(0.162172\pi\) | |||||||
\(234\) | 1.89033 | − | 0.632513i | 0.123575 | − | 0.0413487i | ||||
\(235\) | 0.0338618 | − | 0.170235i | 0.00220890 | − | 0.0111049i | ||||
\(236\) | −0.109216 | + | 29.4029i | −0.00710933 | + | 1.91396i | ||||
\(237\) | −0.438232 | + | 0.156185i | −0.0284662 | + | 0.0101453i | ||||
\(238\) | 1.36178 | + | 14.0947i | 0.0882712 | + | 0.913624i | ||||
\(239\) | −8.19214 | − | 2.19508i | −0.529905 | − | 0.141988i | −0.0160607 | − | 0.999871i | \(-0.505113\pi\) |
−0.513845 | + | 0.857883i | \(0.671779\pi\) | |||||||
\(240\) | 0.961114 | + | 1.63554i | 0.0620396 | + | 0.105574i | ||||
\(241\) | −10.4281 | + | 2.79421i | −0.671735 | + | 0.179991i | −0.578536 | − | 0.815657i | \(-0.696376\pi\) |
−0.0931986 | + | 0.995648i | \(0.529709\pi\) | |||||||
\(242\) | −0.0547596 | − | 0.146316i | −0.00352008 | − | 0.00940557i | ||||
\(243\) | −6.11085 | − | 14.3408i | −0.392011 | − | 0.919960i | ||||
\(244\) | −3.29980 | − | 25.8048i | −0.211248 | − | 1.65198i | ||||
\(245\) | −0.813730 | + | 0.927881i | −0.0519873 | + | 0.0592801i | ||||
\(246\) | 4.66784 | − | 12.9191i | 0.297610 | − | 0.823691i | ||||
\(247\) | −0.958605 | + | 1.24928i | −0.0609946 | + | 0.0794897i | ||||
\(248\) | 13.8395 | + | 5.29702i | 0.878806 | + | 0.336361i | ||||
\(249\) | −9.39401 | − | 15.7174i | −0.595321 | − | 0.996052i | ||||
\(250\) | −1.57964 | − | 3.50364i | −0.0999053 | − | 0.221589i | ||||
\(251\) | −14.4933 | − | 21.6908i | −0.914811 | − | 1.36911i | −0.929343 | − | 0.369217i | \(-0.879626\pi\) |
0.0145321 | − | 0.999894i | \(-0.495374\pi\) | |||||||
\(252\) | −9.04789 | − | 2.80614i | −0.569963 | − | 0.176770i | ||||
\(253\) | −17.2192 | + | 3.42510i | −1.08256 | + | 0.215334i | ||||
\(254\) | −2.59726 | − | 11.2333i | −0.162967 | − | 0.704843i | ||||
\(255\) | 2.76104 | − | 1.19286i | 0.172903 | − | 0.0747000i | ||||
\(256\) | −3.91103 | − | 15.5146i | −0.244440 | − | 0.969665i | ||||
\(257\) | −9.80819 | + | 5.66276i | −0.611818 | + | 0.353233i | −0.773677 | − | 0.633581i | \(-0.781584\pi\) |
0.161859 | + | 0.986814i | \(0.448251\pi\) | |||||||
\(258\) | −6.40431 | + | 14.6481i | −0.398715 | + | 0.911952i | ||||
\(259\) | −13.7927 | − | 4.68200i | −0.857039 | − | 0.290926i | ||||
\(260\) | −0.256679 | − | 0.0177814i | −0.0159186 | − | 0.00110276i | ||||
\(261\) | 2.15765 | − | 12.8686i | 0.133555 | − | 0.796546i | ||||
\(262\) | 8.08561 | + | 5.81683i | 0.499531 | + | 0.359365i | ||||
\(263\) | 9.03501 | − | 6.93281i | 0.557123 | − | 0.427495i | −0.291441 | − | 0.956589i | \(-0.594135\pi\) |
0.848563 | + | 0.529094i | \(0.177468\pi\) | |||||||
\(264\) | −0.689989 | − | 16.3149i | −0.0424659 | − | 1.00411i | ||||
\(265\) | 1.45639 | + | 1.11752i | 0.0894651 | + | 0.0686490i | ||||
\(266\) | 7.16521 | − | 2.15902i | 0.439327 | − | 0.132378i | ||||
\(267\) | −2.02963 | + | 6.28984i | −0.124211 | + | 0.384932i | ||||
\(268\) | 1.67185 | − | 3.99417i | 0.102124 | − | 0.243983i | ||||
\(269\) | −16.3781 | − | 10.9435i | −0.998593 | − | 0.667238i | −0.0550481 | − | 0.998484i | \(-0.517531\pi\) |
−0.943545 | + | 0.331245i | \(0.892531\pi\) | |||||||
\(270\) | 0.0216469 | + | 2.01199i | 0.00131739 | + | 0.122446i | ||||
\(271\) | −9.41589 | + | 9.41589i | −0.571975 | + | 0.571975i | −0.932680 | − | 0.360705i | \(-0.882536\pi\) |
0.360705 | + | 0.932680i | \(0.382536\pi\) | |||||||
\(272\) | −25.1745 | + | 3.12421i | −1.52643 | + | 0.189433i | ||||
\(273\) | 1.00739 | − | 0.797470i | 0.0609698 | − | 0.0482651i | ||||
\(274\) | 8.69449 | − | 0.840031i | 0.525253 | − | 0.0507481i | ||||
\(275\) | −1.07368 | + | 16.3811i | −0.0647451 | + | 0.987819i | ||||
\(276\) | −18.1157 | − | 2.17519i | −1.09043 | − | 0.130931i | ||||
\(277\) | −6.47672 | + | 7.38528i | −0.389148 | + | 0.443739i | −0.912931 | − | 0.408113i | \(-0.866187\pi\) |
0.523783 | + | 0.851852i | \(0.324520\pi\) | |||||||
\(278\) | −9.22774 | − | 14.9011i | −0.553443 | − | 0.893706i | ||||
\(279\) | 9.94065 | + | 12.1746i | 0.595131 | + | 0.728875i | ||||
\(280\) | 0.940863 | + | 0.780959i | 0.0562273 | + | 0.0466712i | ||||
\(281\) | 6.71697 | − | 5.15411i | 0.400701 | − | 0.307468i | −0.388680 | − | 0.921373i | \(-0.627069\pi\) |
0.789380 | + | 0.613905i | \(0.210402\pi\) | |||||||
\(282\) | −1.30759 | + | 0.837352i | −0.0778661 | + | 0.0498636i | ||||
\(283\) | 2.49371 | − | 5.05675i | 0.148236 | − | 0.300593i | −0.810072 | − | 0.586330i | \(-0.800572\pi\) |
0.958308 | + | 0.285738i | \(0.0922387\pi\) | |||||||
\(284\) | −10.6333 | + | 0.657289i | −0.630973 | + | 0.0390029i | ||||
\(285\) | −0.902954 | − | 1.30813i | −0.0534864 | − | 0.0774868i | ||||
\(286\) | 1.87861 | + | 1.17304i | 0.111084 | + | 0.0693631i | ||||
\(287\) | − | 8.85399i | − | 0.522635i | ||||||
\(288\) | 4.58516 | − | 16.3394i | 0.270183 | − | 0.962809i | ||||
\(289\) | 23.2198i | 1.36587i | ||||||||
\(290\) | −0.892039 | + | 1.42859i | −0.0523823 | + | 0.0838898i | ||||
\(291\) | 1.67818 | − | 3.53678i | 0.0983766 | − | 0.207329i | ||||
\(292\) | −12.0943 | + | 13.6880i | −0.707765 | + | 0.801029i | ||||
\(293\) | −9.05185 | + | 18.3553i | −0.528814 | + | 1.07233i | 0.454556 | + | 0.890718i | \(0.349798\pi\) |
−0.983370 | + | 0.181611i | \(0.941869\pi\) | |||||||
\(294\) | 11.0288 | − | 0.507476i | 0.643214 | − | 0.0295966i | ||||
\(295\) | 3.19362 | − | 2.45055i | 0.185940 | − | 0.142677i | ||||
\(296\) | 7.71367 | − | 24.9277i | 0.448348 | − | 1.44889i | ||||
\(297\) | 7.97125 | − | 15.3767i | 0.462539 | − | 0.892245i | ||||
\(298\) | −16.2614 | + | 10.0702i | −0.942000 | + | 0.583350i | ||||
\(299\) | 1.63167 | − | 1.86056i | 0.0943617 | − | 0.107599i | ||||
\(300\) | −6.34879 | + | 15.8355i | −0.366547 | + | 0.914264i | ||||
\(301\) | −0.673949 | + | 10.2825i | −0.0388458 | + | 0.592672i | ||||
\(302\) | 2.32201 | + | 24.0333i | 0.133617 | + | 1.38296i | ||||
\(303\) | −0.0707312 | − | 0.480969i | −0.00406340 | − | 0.0276309i | ||||
\(304\) | 4.21486 | + | 12.7264i | 0.241739 | + | 0.729910i | ||||
\(305\) | −2.51844 | + | 2.51844i | −0.144206 | + | 0.144206i | ||||
\(306\) | −24.8132 | − | 10.4048i | −1.41848 | − | 0.594804i | ||||
\(307\) | 8.78026 | + | 5.86678i | 0.501116 | + | 0.334835i | 0.780303 | − | 0.625402i | \(-0.215065\pi\) |
−0.279187 | + | 0.960237i | \(0.590065\pi\) | |||||||
\(308\) | −3.99171 | − | 9.73901i | −0.227449 | − | 0.554932i | ||||
\(309\) | 3.47985 | − | 0.747029i | 0.197962 | − | 0.0424970i | ||||
\(310\) | −0.585310 | − | 1.94249i | −0.0332434 | − | 0.110326i | ||||
\(311\) | 11.0387 | + | 8.47029i | 0.625947 | + | 0.480306i | 0.872363 | − | 0.488858i | \(-0.162586\pi\) |
−0.246416 | + | 0.969164i | \(0.579253\pi\) | |||||||
\(312\) | 1.47710 | + | 1.76524i | 0.0836246 | + | 0.0999369i | ||||
\(313\) | −13.0630 | + | 10.0236i | −0.738363 | + | 0.566566i | −0.908015 | − | 0.418938i | \(-0.862402\pi\) |
0.169652 | + | 0.985504i | \(0.445736\pi\) | |||||||
\(314\) | −18.8170 | + | 26.1563i | −1.06190 | + | 1.47609i | ||||
\(315\) | 0.453808 | + | 1.21494i | 0.0255692 | + | 0.0684539i | ||||
\(316\) | −0.352700 | − | 0.405204i | −0.0198409 | − | 0.0227945i | ||||
\(317\) | 4.70275 | + | 1.59637i | 0.264133 | + | 0.0896610i | 0.450364 | − | 0.892845i | \(-0.351294\pi\) |
−0.186231 | + | 0.982506i | \(0.559627\pi\) | |||||||
\(318\) | −1.82616 | − | 16.3203i | −0.102406 | − | 0.915199i | ||||
\(319\) | 12.5553 | − | 7.24881i | 0.702962 | − | 0.405855i | ||||
\(320\) | −1.35278 | + | 1.72288i | −0.0756226 | + | 0.0963118i | ||||
\(321\) | 1.35529 | − | 11.6528i | 0.0756449 | − | 0.650393i | ||||
\(322\) | −11.4582 | + | 2.64925i | −0.638541 | + | 0.147637i | ||||
\(323\) | 20.8469 | − | 4.14670i | 1.15995 | − | 0.230728i | ||||
\(324\) | 12.8383 | − | 12.6166i | 0.713239 | − | 0.700921i | ||||
\(325\) | −1.28556 | − | 1.92398i | −0.0713103 | − | 0.106723i | ||||
\(326\) | 7.14608 | − | 3.22186i | 0.395785 | − | 0.178442i | ||||
\(327\) | −9.32624 | + | 16.7325i | −0.515742 | + | 0.925311i | ||||
\(328\) | 15.8557 | − | 0.430640i | 0.875484 | − | 0.0237781i | ||||
\(329\) | −0.609263 | + | 0.794008i | −0.0335898 | + | 0.0437751i | ||||
\(330\) | −1.70920 | + | 1.44104i | −0.0940883 | + | 0.0793267i | ||||
\(331\) | 9.87540 | − | 11.2607i | 0.542801 | − | 0.618946i | −0.413792 | − | 0.910371i | \(-0.635796\pi\) |
0.956594 | + | 0.291425i | \(0.0941294\pi\) | |||||||
\(332\) | 12.9336 | − | 16.7263i | 0.709821 | − | 0.917977i | ||||
\(333\) | 20.2475 | − | 18.8691i | 1.10955 | − | 1.03402i | ||||
\(334\) | −23.5190 | + | 8.80211i | −1.28690 | + | 0.481630i | ||||
\(335\) | −0.572599 | + | 0.153428i | −0.0312844 | + | 0.00838264i | ||||
\(336\) | −0.799272 | − | 10.9093i | −0.0436039 | − | 0.595151i | ||||
\(337\) | 7.45366 | + | 1.99720i | 0.406027 | + | 0.108795i | 0.456051 | − | 0.889953i | \(-0.349263\pi\) |
−0.0500247 | + | 0.998748i | \(0.515930\pi\) | |||||||
\(338\) | 17.9888 | − | 1.73802i | 0.978463 | − | 0.0945357i | ||||
\(339\) | 5.37311 | − | 29.3217i | 0.291827 | − | 1.59254i | ||||
\(340\) | 2.44664 | + | 2.46489i | 0.132688 | + | 0.133677i | ||||
\(341\) | −3.40692 | + | 17.1278i | −0.184495 | + | 0.927520i | ||||
\(342\) | −2.83479 | + | 13.9340i | −0.153288 | + | 0.753465i | ||||
\(343\) | 16.7852 | − | 6.95265i | 0.906314 | − | 0.375408i | ||||
\(344\) | −18.4466 | − | 0.706787i | −0.994574 | − | 0.0381074i | ||||
\(345\) | 1.28153 | + | 2.14418i | 0.0689955 | + | 0.115439i | ||||
\(346\) | −13.8701 | − | 16.9650i | −0.745663 | − | 0.912042i | ||||
\(347\) | 26.0394 | + | 12.8412i | 1.39787 | + | 0.689352i | 0.976094 | − | 0.217350i | \(-0.0697411\pi\) |
0.421773 | + | 0.906701i | \(0.361408\pi\) | |||||||
\(348\) | 14.7428 | − | 3.10764i | 0.790299 | − | 0.166587i | ||||
\(349\) | −29.9744 | − | 10.1749i | −1.60449 | − | 0.544652i | −0.631479 | − | 0.775393i | \(-0.717552\pi\) |
−0.973015 | + | 0.230741i | \(0.925885\pi\) | |||||||
\(350\) | −0.380213 | + | 10.9901i | −0.0203233 | + | 0.587447i | ||||
\(351\) | 0.428039 | + | 2.40352i | 0.0228470 | + | 0.128291i | ||||
\(352\) | 17.2464 | − | 7.62203i | 0.919238 | − | 0.406256i | ||||
\(353\) | −6.35627 | + | 11.0094i | −0.338310 | + | 0.585971i | −0.984115 | − | 0.177532i | \(-0.943189\pi\) |
0.645805 | + | 0.763503i | \(0.276522\pi\) | |||||||
\(354\) | −35.6049 | − | 5.39457i | −1.89238 | − | 0.286718i | ||||
\(355\) | 0.961691 | + | 1.09660i | 0.0510413 | + | 0.0582014i | ||||
\(356\) | −7.61710 | + | 0.470843i | −0.403706 | + | 0.0249546i | ||||
\(357\) | −17.3208 | − | 0.872604i | −0.916716 | − | 0.0461831i | ||||
\(358\) | −1.34948 | + | 3.56539i | −0.0713224 | + | 0.188437i | ||||
\(359\) | 6.94747 | − | 16.7727i | 0.366673 | − | 0.885228i | −0.627617 | − | 0.778522i | \(-0.715970\pi\) |
0.994291 | − | 0.106706i | \(-0.0340303\pi\) | |||||||
\(360\) | −2.15363 | + | 0.871770i | −0.113506 | + | 0.0459463i | ||||
\(361\) | 2.97233 | + | 7.17584i | 0.156438 | + | 0.377676i | ||||
\(362\) | 0.830441 | + | 26.8947i | 0.0436470 | + | 1.41355i | ||||
\(363\) | 0.187077 | − | 0.0401603i | 0.00981900 | − | 0.00210787i | ||||
\(364\) | 1.28207 | + | 0.746564i | 0.0671985 | + | 0.0391306i | ||||
\(365\) | 2.49533 | + | 0.163553i | 0.130612 | + | 0.00856073i | ||||
\(366\) | 31.8556 | + | 0.620262i | 1.66512 | + | 0.0324216i | ||||
\(367\) | −4.27726 | + | 1.14609i | −0.223271 | + | 0.0598253i | −0.368720 | − | 0.929540i | \(-0.620204\pi\) |
0.145449 | + | 0.989366i | \(0.453537\pi\) | |||||||
\(368\) | −5.30157 | − | 20.3905i | −0.276364 | − | 1.06293i | ||||
\(369\) | 14.8173 | + | 7.96768i | 0.771359 | + | 0.414781i | ||||
\(370\) | −3.34579 | + | 1.25218i | −0.173939 | + | 0.0650975i | ||||
\(371\) | −4.68166 | − | 9.49347i | −0.243060 | − | 0.492876i | ||||
\(372\) | −8.89471 | + | 15.8198i | −0.461169 | + | 0.820221i | ||||
\(373\) | 1.26941 | − | 0.430906i | 0.0657275 | − | 0.0223115i | −0.288382 | − | 0.957515i | \(-0.593117\pi\) |
0.354110 | + | 0.935204i | \(0.384784\pi\) | |||||||
\(374\) | −8.62497 | − | 28.6240i | −0.445987 | − | 1.48011i | ||||
\(375\) | 4.52771 | − | 1.28684i | 0.233810 | − | 0.0664523i | ||||
\(376\) | −1.45154 | − | 1.05245i | −0.0748574 | − | 0.0542759i | ||||
\(377\) | −0.782017 | + | 1.88796i | −0.0402759 | + | 0.0972347i | ||||
\(378\) | 5.01922 | − | 10.4602i | 0.258161 | − | 0.538014i | ||||
\(379\) | −20.9975 | + | 14.0301i | −1.07857 | + | 0.720675i | −0.962149 | − | 0.272525i | \(-0.912141\pi\) |
−0.116418 | + | 0.993200i | \(0.537141\pi\) | |||||||
\(380\) | 1.02536 | − | 1.52228i | 0.0525996 | − | 0.0780914i | ||||
\(381\) | 14.0751 | − | 1.13640i | 0.721091 | − | 0.0582196i | ||||
\(382\) | −8.20790 | + | 26.8780i | −0.419953 | + | 1.37520i | ||||
\(383\) | −9.53372 | − | 16.5129i | −0.487150 | − | 0.843769i | 0.512740 | − | 0.858544i | \(-0.328630\pi\) |
−0.999891 | + | 0.0147743i | \(0.995297\pi\) | |||||||
\(384\) | 19.4975 | − | 1.96194i | 0.994975 | − | 0.100120i | ||||
\(385\) | −0.720492 | + | 1.24793i | −0.0367197 | + | 0.0636003i | ||||
\(386\) | 13.2596 | + | 14.2099i | 0.674895 | + | 0.723266i | ||||
\(387\) | −16.6014 | − | 10.3810i | −0.843899 | − | 0.527698i | ||||
\(388\) | 4.50953 | + | 0.312396i | 0.228937 | + | 0.0158595i | ||||
\(389\) | 2.42144 | + | 36.9441i | 0.122772 | + | 1.87314i | 0.405710 | + | 0.914002i | \(0.367024\pi\) |
−0.282938 | + | 0.959138i | \(0.591309\pi\) | |||||||
\(390\) | 0.0674819 | − | 0.307810i | 0.00341708 | − | 0.0155866i | ||||
\(391\) | −33.1177 | + | 4.36003i | −1.67484 | + | 0.220496i | ||||
\(392\) | 5.19660 | + | 11.6412i | 0.262468 | + | 0.587971i | ||||
\(393\) | −8.49474 | + | 8.75547i | −0.428503 | + | 0.441655i | ||||
\(394\) | −4.61894 | + | 4.91328i | −0.232699 | + | 0.247527i | ||||
\(395\) | −0.0143483 | + | 0.0721335i | −0.000721939 | + | 0.00362943i | ||||
\(396\) | 19.8906 | + | 2.08389i | 0.999538 | + | 0.104719i | ||||
\(397\) | 12.7689 | − | 19.1099i | 0.640850 | − | 0.959100i | −0.358819 | − | 0.933407i | \(-0.616821\pi\) |
0.999670 | − | 0.0256934i | \(-0.00817937\pi\) | |||||||
\(398\) | 1.06744 | − | 6.39149i | 0.0535058 | − | 0.320377i | ||||
\(399\) | 1.33350 | + | 9.06775i | 0.0667586 | + | 0.453955i | ||||
\(400\) | −19.6996 | − | 0.146348i | −0.984978 | − | 0.00731741i | ||||
\(401\) | 3.41284 | − | 12.7369i | 0.170429 | − | 0.636050i | −0.826856 | − | 0.562413i | \(-0.809873\pi\) |
0.997285 | − | 0.0736362i | \(-0.0234604\pi\) | |||||||
\(402\) | 4.54011 | + | 2.74044i | 0.226440 | + | 0.136681i | ||||
\(403\) | −1.08871 | − | 2.20769i | −0.0542325 | − | 0.109973i | ||||
\(404\) | 0.487181 | − | 0.278867i | 0.0242382 | − | 0.0138741i | ||||
\(405\) | −2.44160 | − | 0.333860i | −0.121324 | − | 0.0165896i | ||||
\(406\) | 8.25649 | − | 5.11298i | 0.409763 | − | 0.253753i | ||||
\(407\) | 30.4880 | + | 4.01382i | 1.51123 | + | 0.198958i | ||||
\(408\) | 0.720206 | − | 31.0605i | 0.0356555 | − | 1.53773i | ||||
\(409\) | 16.8252 | − | 2.21508i | 0.831953 | − | 0.109529i | 0.297494 | − | 0.954724i | \(-0.403849\pi\) |
0.534458 | + | 0.845195i | \(0.320516\pi\) | |||||||
\(410\) | −1.37450 | − | 1.68119i | −0.0678816 | − | 0.0830279i | ||||
\(411\) | −0.538276 | + | 10.6846i | −0.0265512 | + | 0.527031i | ||||
\(412\) | 2.27054 | + | 3.42558i | 0.111861 | + | 0.168766i | ||||
\(413\) | −22.7654 | + | 4.52832i | −1.12021 | + | 0.222824i | ||||
\(414\) | 5.87763 | − | 21.5596i | 0.288870 | − | 1.05960i | ||||
\(415\) | −2.89468 | −0.142094 | ||||||||
\(416\) | −1.27459 | + | 2.33223i | −0.0624918 | + | 0.114347i | ||||
\(417\) | 19.7056 | − | 8.51347i | 0.964987 | − | 0.416906i | ||||
\(418\) | −13.9472 | + | 7.42167i | −0.682181 | + | 0.363006i | ||||
\(419\) | −14.0341 | + | 12.3076i | −0.685612 | + | 0.601266i | −0.929625 | − | 0.368506i | \(-0.879869\pi\) |
0.244013 | + | 0.969772i | \(0.421536\pi\) | |||||||
\(420\) | −1.11460 | + | 1.00018i | −0.0543867 | + | 0.0488037i | ||||
\(421\) | 1.80606 | + | 27.5552i | 0.0880221 | + | 1.34296i | 0.782143 | + | 0.623099i | \(0.214127\pi\) |
−0.694121 | + | 0.719858i | \(0.744207\pi\) | |||||||
\(422\) | −18.9152 | + | 3.08684i | −0.920780 | + | 0.150265i | ||||
\(423\) | −0.780513 | − | 1.73414i | −0.0379499 | − | 0.0843167i | ||||
\(424\) | 16.7732 | − | 8.84564i | 0.814577 | − | 0.429582i | ||||
\(425\) | −4.07687 | + | 30.9669i | −0.197757 | + | 1.50211i | ||||
\(426\) | 1.10668 | − | 13.0010i | 0.0536190 | − | 0.629899i | ||||
\(427\) | 19.4468 | − | 6.60132i | 0.941099 | − | 0.319460i | ||||
\(428\) | 13.0975 | − | 3.45737i | 0.633092 | − | 0.167118i | ||||
\(429\) | −1.75746 | + | 2.06618i | −0.0848511 | + | 0.0997560i | ||||
\(430\) | 1.46829 | + | 2.05705i | 0.0708071 | + | 0.0991998i | ||||
\(431\) | −6.13472 | + | 6.13472i | −0.295499 | + | 0.295499i | −0.839248 | − | 0.543749i | \(-0.817004\pi\) |
0.543749 | + | 0.839248i | \(0.317004\pi\) | |||||||
\(432\) | 18.9762 | + | 8.47964i | 0.912992 | + | 0.407977i | ||||
\(433\) | 9.40906 | + | 9.40906i | 0.452171 | + | 0.452171i | 0.896074 | − | 0.443904i | \(-0.146407\pi\) |
−0.443904 | + | 0.896074i | \(0.646407\pi\) | |||||||
\(434\) | −1.92699 | + | 11.5383i | −0.0924987 | + | 0.553854i | ||||
\(435\) | −1.57123 | − | 1.33647i | −0.0753348 | − | 0.0640788i | ||||
\(436\) | −21.9194 | − | 2.96862i | −1.04975 | − | 0.142171i | ||||
\(437\) | 5.67437 | + | 16.7161i | 0.271442 | + | 0.799642i | ||||
\(438\) | −14.4198 | − | 17.1032i | −0.689006 | − | 0.817221i | ||||
\(439\) | −14.4933 | − | 1.90808i | −0.691729 | − | 0.0910679i | −0.223538 | − | 0.974695i | \(-0.571761\pi\) |
−0.468191 | + | 0.883627i | \(0.655094\pi\) | |||||||
\(440\) | −2.26983 | − | 1.22956i | −0.108210 | − | 0.0586169i | ||||
\(441\) | −1.35897 | + | 13.4533i | −0.0647130 | + | 0.640634i | ||||
\(442\) | 3.42067 | + | 2.46084i | 0.162705 | + | 0.117050i | ||||
\(443\) | −29.6395 | + | 1.94267i | −1.40821 | + | 0.0922992i | −0.750451 | − | 0.660926i | \(-0.770164\pi\) |
−0.657763 | + | 0.753225i | \(0.728497\pi\) | |||||||
\(444\) | 28.8219 | + | 13.8072i | 1.36782 | + | 0.655260i | ||||
\(445\) | 0.688899 | + | 0.785539i | 0.0326569 | + | 0.0372381i | ||||
\(446\) | −3.49690 | + | 11.4511i | −0.165583 | + | 0.542227i | ||||
\(447\) | −9.29070 | − | 21.5046i | −0.439435 | − | 1.01713i | ||||
\(448\) | 11.3897 | − | 5.45985i | 0.538113 | − | 0.257954i | ||||
\(449\) | 36.7737i | 1.73546i | 0.497039 | + | 0.867728i | \(0.334421\pi\) | ||||
−0.497039 | + | 0.867728i | \(0.665579\pi\) | |||||||
\(450\) | −18.0500 | − | 10.5263i | −0.850887 | − | 0.496213i | ||||
\(451\) | 3.64672 | + | 18.3333i | 0.171717 | + | 0.863281i | ||||
\(452\) | 33.7849 | − | 6.58987i | 1.58911 | − | 0.309961i | ||||
\(453\) | −29.5342 | − | 1.48790i | −1.38764 | − | 0.0699077i | ||||
\(454\) | 2.02227 | + | 0.202969i | 0.0949098 | + | 0.00952581i | ||||
\(455\) | −0.0265117 | − | 0.201376i | −0.00124289 | − | 0.00944065i | ||||
\(456\) | −16.1736 | + | 2.82907i | −0.757400 | + | 0.132483i | ||||
\(457\) | −3.99187 | + | 30.3212i | −0.186732 | + | 1.41837i | 0.599470 | + | 0.800398i | \(0.295378\pi\) |
−0.786201 | + | 0.617970i | \(0.787955\pi\) | |||||||
\(458\) | 22.3435 | + | 5.25355i | 1.04404 | + | 0.245482i | ||||
\(459\) | 17.0473 | − | 28.2015i | 0.795699 | − | 1.31633i | ||||
\(460\) | −1.76440 | + | 2.28181i | −0.0822656 | + | 0.106390i | ||||
\(461\) | −6.51107 | + | 3.21090i | −0.303251 | + | 0.149547i | −0.587548 | − | 0.809190i | \(-0.699907\pi\) |
0.284297 | + | 0.958736i | \(0.408240\pi\) | |||||||
\(462\) | 12.5142 | − | 3.09336i | 0.582212 | − | 0.143916i | ||||
\(463\) | −31.2184 | − | 8.36496i | −1.45084 | − | 0.388753i | −0.554527 | − | 0.832166i | \(-0.687101\pi\) |
−0.896317 | + | 0.443413i | \(0.853767\pi\) | |||||||
\(464\) | 9.55788 | + | 14.5370i | 0.443714 | + | 0.674864i | ||||
\(465\) | 2.45827 | − | 0.361512i | 0.113999 | − | 0.0167647i | ||||
\(466\) | −21.7837 | + | 15.5488i | −1.00911 | + | 0.720286i | ||||
\(467\) | −18.9260 | − | 12.6459i | −0.875789 | − | 0.585184i | 0.0343852 | − | 0.999409i | \(-0.489053\pi\) |
−0.910175 | + | 0.414225i | \(0.864053\pi\) | |||||||
\(468\) | −2.40312 | + | 1.47373i | −0.111084 | + | 0.0681232i | ||||
\(469\) | 3.35247 | + | 0.666848i | 0.154803 | + | 0.0307922i | ||||
\(470\) | 0.00757572 | + | 0.245348i | 0.000349442 | + | 0.0113170i | ||||
\(471\) | −28.3233 | − | 27.4798i | −1.30507 | − | 1.26620i | ||||
\(472\) | −9.21656 | − | 40.5480i | −0.424227 | − | 1.86637i | ||||
\(473\) | −2.83958 | − | 21.5687i | −0.130564 | − | 0.991732i | ||||
\(474\) | 0.554067 | − | 0.354811i | 0.0254491 | − | 0.0162970i | ||||
\(475\) | 16.4712 | − | 1.07958i | 0.755749 | − | 0.0495344i | ||||
\(476\) | −6.36659 | − | 18.9868i | −0.291812 | − | 0.870257i | ||||
\(477\) | 20.1005 | + | 0.708288i | 0.920339 | + | 0.0324303i | ||||
\(478\) | 11.9869 | + | 0.414700i | 0.548270 | + | 0.0189679i | ||||
\(479\) | 31.0790 | + | 17.9435i | 1.42003 | + | 0.819858i | 0.996301 | − | 0.0859292i | \(-0.0273859\pi\) |
0.423734 | + | 0.905787i | \(0.360719\pi\) | |||||||
\(480\) | −1.84533 | − | 1.94737i | −0.0842273 | − | 0.0888847i | ||||
\(481\) | −3.75380 | + | 2.16726i | −0.171158 | + | 0.0988184i | ||||
\(482\) | 13.4784 | − | 7.17219i | 0.613923 | − | 0.326684i | ||||
\(483\) | −1.15915 | − | 14.3569i | −0.0527430 | − | 0.653261i | ||||
\(484\) | 0.122064 | + | 0.184159i | 0.00554837 | + | 0.00837087i | ||||
\(485\) | −0.343822 | − | 0.514566i | −0.0156122 | − | 0.0233652i | ||||
\(486\) | 12.9885 | + | 17.8129i | 0.589172 | + | 0.808007i | ||||
\(487\) | 31.8967 | + | 13.2120i | 1.44538 | + | 0.598694i | 0.961095 | − | 0.276219i | \(-0.0890814\pi\) |
0.484281 | + | 0.874913i | \(0.339081\pi\) | |||||||
\(488\) | 12.7675 | + | 34.5043i | 0.577956 | + | 1.56194i | ||||
\(489\) | 2.62467 | + | 9.23479i | 0.118691 | + | 0.417612i | ||||
\(490\) | 0.825608 | − | 1.53773i | 0.0372972 | − | 0.0694675i | ||||
\(491\) | −3.51033 | − | 10.3411i | −0.158419 | − | 0.466688i | 0.838520 | − | 0.544871i | \(-0.183421\pi\) |
−0.996939 | + | 0.0781833i | \(0.975088\pi\) | |||||||
\(492\) | −2.31594 | + | 19.2878i | −0.104411 | + | 0.869561i | ||||
\(493\) | 24.7390 | − | 12.1999i | 1.11419 | − | 0.549456i | ||||
\(494\) | 0.922838 | − | 2.02672i | 0.0415204 | − | 0.0911867i | ||||
\(495\) | −1.44007 | − | 2.32876i | −0.0647261 | − | 0.104670i | ||||
\(496\) | −20.7564 | − | 2.88966i | −0.931990 | − | 0.129749i | ||||
\(497\) | −2.17672 | − | 8.12363i | −0.0976393 | − | 0.364395i | ||||
\(498\) | 17.9509 | + | 18.6638i | 0.804398 | + | 0.836345i | ||||
\(499\) | −0.0523000 | + | 0.797945i | −0.00234127 | + | 0.0357209i | −0.998870 | − | 0.0475322i | \(-0.984864\pi\) |
0.996528 | + | 0.0832531i | \(0.0265310\pi\) | |||||||
\(500\) | 3.29270 | + | 4.32430i | 0.147254 | + | 0.193389i | ||||
\(501\) | −6.45540 | − | 30.0709i | −0.288406 | − | 1.34347i | ||||
\(502\) | 26.8800 | + | 25.2698i | 1.19971 | + | 1.12784i | ||||
\(503\) | 35.9626 | − | 14.8962i | 1.60349 | − | 0.664189i | 0.611590 | − | 0.791175i | \(-0.290530\pi\) |
0.991905 | + | 0.126985i | \(0.0405301\pi\) | |||||||
\(504\) | 13.3607 | + | 0.984045i | 0.595134 | + | 0.0438329i | ||||
\(505\) | −0.0710023 | − | 0.0294101i | −0.00315956 | − | 0.00130873i | ||||
\(506\) | 22.6345 | − | 10.2049i | 1.00623 | − | 0.453665i | ||||
\(507\) | −1.11369 | + | 22.1063i | −0.0494607 | + | 0.981774i | ||||
\(508\) | 7.15735 | + | 14.6506i | 0.317556 | + | 0.650015i | ||||
\(509\) | 15.8768 | − | 13.9235i | 0.703725 | − | 0.617150i | −0.230820 | − | 0.972997i | \(-0.574141\pi\) |
0.934544 | + | 0.355847i | \(0.115807\pi\) | |||||||
\(510\) | −3.42433 | + | 2.52320i | −0.151632 | + | 0.111729i | ||||
\(511\) | −12.4874 | − | 7.20963i | −0.552412 | − | 0.318935i | ||||
\(512\) | 10.3315 | + | 20.1311i | 0.456590 | + | 0.889677i | ||||
\(513\) | −16.3751 | − | 5.92840i | −0.722977 | − | 0.261745i | ||||
\(514\) | 11.7103 | − | 10.9272i | 0.516521 | − | 0.481977i | ||||
\(515\) | 0.180858 | − | 0.532790i | 0.00796955 | − | 0.0234775i | ||||
\(516\) | 4.15774 | − | 22.2234i | 0.183034 | − | 0.978329i | ||||
\(517\) | 0.934526 | − | 1.89503i | 0.0411004 | − | 0.0833434i | ||||
\(518\) | 20.4961 | + | 2.05713i | 0.900547 | + | 0.0903852i | ||||
\(519\) | 23.0371 | − | 13.7688i | 1.01121 | − | 0.604383i | ||||
\(520\) | 0.359334 | − | 0.0572715i | 0.0157578 | − | 0.00251152i | ||||
\(521\) | −4.59948 | − | 11.1041i | −0.201507 | − | 0.486480i | 0.790531 | − | 0.612422i | \(-0.209805\pi\) |
−0.992038 | + | 0.125942i | \(0.959805\pi\) | |||||||
\(522\) | 1.12668 | + | 18.4186i | 0.0493135 | + | 0.806158i | ||||
\(523\) | 30.6359 | + | 6.09385i | 1.33961 | + | 0.266466i | 0.812317 | − | 0.583216i | \(-0.198206\pi\) |
0.527296 | + | 0.849682i | \(0.323206\pi\) | |||||||
\(524\) | −12.9940 | − | 5.43891i | −0.567644 | − | 0.237600i | ||||
\(525\) | −13.2476 | − | 2.42757i | −0.578171 | − | 0.105948i | ||||
\(526\) | −10.2404 | + | 12.4308i | −0.446502 | + | 0.542009i | ||||
\(527\) | −8.59957 | + | 32.0940i | −0.374603 | + | 1.39804i | ||||
\(528\) | 6.14824 | + | 22.2599i | 0.267568 | + | 0.968736i | ||||
\(529\) | −1.22741 | − | 4.58077i | −0.0533658 | − | 0.199164i | ||||
\(530\) | −2.36272 | − | 1.07583i | −0.102630 | − | 0.0467309i | ||||
\(531\) | 12.9083 | − | 42.1734i | 0.560171 | − | 1.83017i | ||||
\(532\) | −9.18487 | + | 5.25750i | −0.398215 | + | 0.227941i | ||||
\(533\) | −1.98094 | − | 1.73724i | −0.0858042 | − | 0.0752482i | ||||
\(534\) | 0.792763 | − | 9.31313i | 0.0343062 | − | 0.403019i | ||||
\(535\) | −1.47132 | − | 1.12898i | −0.0636106 | − | 0.0488102i | ||||
\(536\) | −1.03113 | + | 6.03603i | −0.0445381 | + | 0.260717i | ||||
\(537\) | −4.07830 | − | 2.27313i | −0.175992 | − | 0.0980928i | ||||
\(538\) | 26.0532 | + | 9.86101i | 1.12323 | + | 0.425138i | ||||
\(539\) | −12.4918 | + | 8.34676i | −0.538060 | + | 0.359520i | ||||
\(540\) | −0.670798 | − | 2.76535i | −0.0288666 | − | 0.119002i | ||||
\(541\) | −5.26838 | − | 26.4859i | −0.226505 | − | 1.13872i | −0.911858 | − | 0.410507i | \(-0.865352\pi\) |
0.685352 | − | 0.728212i | \(-0.259648\pi\) | |||||||
\(542\) | 9.97414 | − | 15.9735i | 0.428426 | − | 0.686120i | ||||
\(543\) | −32.7342 | − | 3.80719i | −1.40476 | − | 0.163382i | ||||
\(544\) | 33.6918 | − | 12.3247i | 1.44452 | − | 0.528419i | ||||
\(545\) | 1.51416 | + | 2.62260i | 0.0648593 | + | 0.112340i | ||||
\(546\) | −1.13399 | + | 1.41973i | −0.0485302 | + | 0.0607590i | ||||
\(547\) | −3.12925 | + | 9.21847i | −0.133797 | + | 0.394153i | −0.993094 | − | 0.117324i | \(-0.962568\pi\) |
0.859297 | + | 0.511478i | \(0.170902\pi\) | |||||||
\(548\) | −11.7122 | + | 3.92730i | −0.500321 | + | 0.167766i | ||||
\(549\) | −6.45272 | + | 38.4852i | −0.275395 | + | 1.64251i | ||||
\(550\) | −3.73925 | − | 22.9130i | −0.159442 | − | 0.977014i | ||||
\(551\) | −8.87409 | − | 11.5649i | −0.378049 | − | 0.492683i | ||||
\(552\) | 25.6539 | − | 2.77409i | 1.09190 | − | 0.118073i | ||||
\(553\) | 0.258163 | − | 0.336445i | 0.0109782 | − | 0.0143071i | ||||
\(554\) | 6.57127 | − | 12.2392i | 0.279186 | − | 0.519996i | ||||
\(555\) | −0.918337 | − | 4.27785i | −0.0389812 | − | 0.181585i | ||||
\(556\) | 17.4617 | + | 17.5919i | 0.740541 | + | 0.746063i | ||||
\(557\) | −6.60920 | + | 9.89137i | −0.280041 | + | 0.419111i | −0.944650 | − | 0.328081i | \(-0.893598\pi\) |
0.664609 | + | 0.747191i | \(0.268598\pi\) | |||||||
\(558\) | −17.5754 | − | 13.6081i | −0.744026 | − | 0.576077i | ||||
\(559\) | 2.16831 | + | 2.16831i | 0.0917097 | + | 0.0917097i | ||||
\(560\) | −1.54518 | − | 0.776319i | −0.0652956 | − | 0.0328055i | ||||
\(561\) | 36.2244 | − | 5.32715i | 1.52939 | − | 0.224912i | ||||
\(562\) | −7.61309 | + | 9.24153i | −0.321139 | + | 0.389830i | ||||
\(563\) | −34.1514 | − | 2.23840i | −1.43931 | − | 0.0943373i | −0.674348 | − | 0.738413i | \(-0.735575\pi\) |
−0.764961 | + | 0.644076i | \(0.777242\pi\) | |||||||
\(564\) | 1.53493 | − | 1.57033i | 0.0646321 | − | 0.0661226i | ||||
\(565\) | −3.54307 | − | 3.10719i | −0.149058 | − | 0.130721i | ||||
\(566\) | −1.82504 | + | 7.76195i | −0.0767121 | + | 0.326259i | ||||
\(567\) | 11.7752 | + | 7.95334i | 0.494514 | + | 0.334009i | ||||
\(568\) | 14.4419 | − | 4.29318i | 0.605969 | − | 0.180138i | ||||
\(569\) | −16.2477 | − | 21.1744i | −0.681140 | − | 0.887678i | 0.317014 | − | 0.948421i | \(-0.397320\pi\) |
−0.998153 | + | 0.0607425i | \(0.980653\pi\) | |||||||
\(570\) | 1.66089 | + | 1.51476i | 0.0695668 | + | 0.0634464i | ||||
\(571\) | 37.9626 | + | 18.7211i | 1.58869 | + | 0.783454i | 0.999695 | − | 0.0246850i | \(-0.00785826\pi\) |
0.588992 | + | 0.808139i | \(0.299525\pi\) | |||||||
\(572\) | −2.96217 | − | 1.01781i | −0.123854 | − | 0.0425566i | ||||
\(573\) | −31.0964 | − | 14.7551i | −1.29907 | − | 0.616401i | ||||
\(574\) | 2.82067 | + | 12.1996i | 0.117732 | + | 0.509201i | ||||
\(575\) | −25.9406 | −1.08180 | ||||||||
\(576\) | −1.11239 | + | 23.9742i | −0.0463494 | + | 0.998925i | ||||
\(577\) | −12.7376 | −0.530272 | −0.265136 | − | 0.964211i | \(-0.585417\pi\) | ||||
−0.265136 | + | 0.964211i | \(0.585417\pi\) | |||||||
\(578\) | −7.39728 | − | 31.9938i | −0.307686 | − | 1.33077i | ||||
\(579\) | −19.5898 | + | 13.5221i | −0.814124 | + | 0.561961i | ||||
\(580\) | 0.773994 | − | 2.25259i | 0.0321383 | − | 0.0935336i | ||||
\(581\) | 14.9698 | + | 7.38229i | 0.621052 | + | 0.306269i | ||||
\(582\) | −1.18557 | + | 5.40782i | −0.0491435 | + | 0.224161i | ||||
\(583\) | 13.6041 | + | 17.7292i | 0.563423 | + | 0.734267i | ||||
\(584\) | 12.3036 | − | 22.7131i | 0.509127 | − | 0.939876i | ||||
\(585\) | 0.360865 | + | 0.136850i | 0.0149199 | + | 0.00565804i | ||||
\(586\) | 6.62465 | − | 28.1748i | 0.273662 | − | 1.16389i | ||||
\(587\) | −0.424067 | − | 0.371897i | −0.0175031 | − | 0.0153498i | 0.650550 | − | 0.759464i | \(-0.274539\pi\) |
−0.668053 | + | 0.744114i | \(0.732872\pi\) | |||||||
\(588\) | −15.0345 | + | 4.21275i | −0.620014 | + | 0.173731i | ||||
\(589\) | 17.5217 | + | 1.14843i | 0.721969 | + | 0.0473203i | ||||
\(590\) | −3.61969 | + | 4.39394i | −0.149020 | + | 0.180896i | ||||
\(591\) | −5.12626 | − | 6.47563i | −0.210866 | − | 0.266372i | ||||
\(592\) | −2.68702 | + | 36.8044i | −0.110436 | + | 1.51265i | ||||
\(593\) | 19.0014 | + | 19.0014i | 0.780296 | + | 0.780296i | 0.979881 | − | 0.199585i | \(-0.0639594\pi\) |
−0.199585 | + | 0.979881i | \(0.563959\pi\) | |||||||
\(594\) | −6.08466 | + | 23.7264i | −0.249657 | + | 0.973506i | ||||
\(595\) | −1.52318 | + | 2.27960i | −0.0624444 | + | 0.0934547i | ||||
\(596\) | 19.1979 | − | 19.0558i | 0.786378 | − | 0.780558i | ||||
\(597\) | 7.55288 | + | 2.43719i | 0.309119 | + | 0.0997477i | ||||
\(598\) | −1.65548 | + | 3.08341i | −0.0676978 | + | 0.126090i | ||||
\(599\) | 20.1019 | − | 26.1973i | 0.821340 | − | 1.07039i | −0.174971 | − | 0.984574i | \(-0.555983\pi\) |
0.996311 | − | 0.0858173i | \(-0.0273501\pi\) | |||||||
\(600\) | 3.70295 | − | 23.8418i | 0.151172 | − | 0.973336i | ||||
\(601\) | −24.0979 | − | 31.4050i | −0.982974 | − | 1.28104i | −0.959617 | − | 0.281309i | \(-0.909231\pi\) |
−0.0233563 | − | 0.999727i | \(-0.507435\pi\) | |||||||
\(602\) | −2.34714 | − | 14.3826i | −0.0956622 | − | 0.586189i | ||||
\(603\) | −4.13286 | + | 5.01034i | −0.168303 | + | 0.204037i | ||||
\(604\) | −10.8558 | − | 32.3748i | −0.441718 | − | 1.31731i | ||||
\(605\) | 0.00972292 | − | 0.0286428i | 0.000395293 | − | 0.00116450i | ||||
\(606\) | 0.250683 | + | 0.640177i | 0.0101833 | + | 0.0260054i | ||||
\(607\) | −13.8347 | − | 23.9624i | −0.561534 | − | 0.972606i | −0.997363 | − | 0.0725761i | \(-0.976878\pi\) |
0.435829 | − | 0.900030i | \(-0.356455\pi\) | |||||||
\(608\) | −9.86184 | − | 16.1925i | −0.399950 | − | 0.656694i | ||||
\(609\) | 4.71721 | + | 10.9186i | 0.191151 | + | 0.442445i | ||||
\(610\) | 2.66776 | − | 4.27239i | 0.108014 | − | 0.172984i | ||||
\(611\) | 0.0581034 | + | 0.292105i | 0.00235061 | + | 0.0118173i | ||||
\(612\) | 37.5040 | + | 6.43152i | 1.51601 | + | 0.259979i | ||||
\(613\) | −32.4754 | + | 21.6994i | −1.31167 | + | 0.876430i | −0.997340 | − | 0.0728833i | \(-0.976780\pi\) |
−0.314330 | + | 0.949314i | \(0.601780\pi\) | |||||||
\(614\) | −13.9670 | − | 5.28645i | −0.563663 | − | 0.213344i | ||||
\(615\) | 2.28292 | − | 1.36445i | 0.0920561 | − | 0.0550201i | ||||
\(616\) | 8.60265 | + | 12.1474i | 0.346611 | + | 0.489431i | ||||
\(617\) | −19.0458 | − | 14.6144i | −0.766757 | − | 0.588353i | 0.149586 | − | 0.988749i | \(-0.452206\pi\) |
−0.916342 | + | 0.400396i | \(0.868873\pi\) | |||||||
\(618\) | −4.55678 | + | 2.13790i | −0.183301 | + | 0.0859990i | ||||
\(619\) | −22.4298 | − | 19.6704i | −0.901531 | − | 0.790621i | 0.0769339 | − | 0.997036i | \(-0.475487\pi\) |
−0.978465 | + | 0.206415i | \(0.933820\pi\) | |||||||
\(620\) | 1.42531 | + | 2.49002i | 0.0572417 | + | 0.100002i | ||||
\(621\) | 25.0696 | + | 10.9798i | 1.00601 | + | 0.440606i | ||||
\(622\) | −17.9083 | − | 8.15425i | −0.718056 | − | 0.326956i | ||||
\(623\) | −1.55927 | − | 5.81929i | −0.0624710 | − | 0.233145i | ||||
\(624\) | −2.59761 | − | 1.96169i | −0.103988 | − | 0.0785303i | ||||
\(625\) | −6.18086 | + | 23.0673i | −0.247234 | + | 0.922692i | ||||
\(626\) | 14.8057 | − | 17.9727i | 0.591756 | − | 0.718332i | ||||
\(627\) | −6.49595 | − | 18.2267i | −0.259423 | − | 0.727904i | ||||
\(628\) | 17.5945 | − | 42.0345i | 0.702095 | − | 1.67736i | ||||
\(629\) | 57.3836 | + | 11.4143i | 2.28804 | + | 0.455119i | ||||
\(630\) | −1.01233 | − | 1.52944i | −0.0403324 | − | 0.0609345i | ||||
\(631\) | 5.76900 | + | 13.9276i | 0.229660 | + | 0.554449i | 0.996136 | − | 0.0878245i | \(-0.0279915\pi\) |
−0.766476 | + | 0.642273i | \(0.777991\pi\) | |||||||
\(632\) | 0.615061 | + | 0.445954i | 0.0244658 | + | 0.0177391i | ||||
\(633\) | −0.354744 | − | 23.4701i | −0.0140998 | − | 0.932854i | ||||
\(634\) | −6.98832 | − | 0.701396i | −0.277542 | − | 0.0278560i | ||||
\(635\) | 0.987332 | − | 2.00211i | 0.0391811 | − | 0.0794513i | ||||
\(636\) | 7.71546 | + | 21.9054i | 0.305938 | + | 0.868607i | ||||
\(637\) | 0.680703 | − | 2.00529i | 0.0269704 | − | 0.0794524i | ||||
\(638\) | −14.9902 | + | 13.9877i | −0.593468 | + | 0.553778i | ||||
\(639\) | 15.5539 | + | 3.66764i | 0.615302 | + | 0.145090i | ||||
\(640\) | 1.31508 | − | 2.80485i | 0.0519830 | − | 0.110872i | ||||
\(641\) | −20.4548 | − | 11.8096i | −0.807917 | − | 0.466451i | 0.0383150 | − | 0.999266i | \(-0.487801\pi\) |
−0.846232 | + | 0.532815i | \(0.821134\pi\) | |||||||
\(642\) | 1.84488 | + | 16.4877i | 0.0728117 | + | 0.650717i | ||||
\(643\) | −3.88441 | + | 3.40654i | −0.153186 | + | 0.134341i | −0.732509 | − | 0.680758i | \(-0.761651\pi\) |
0.579322 | + | 0.815099i | \(0.303317\pi\) | |||||||
\(644\) | 14.9439 | − | 7.30062i | 0.588871 | − | 0.287685i | ||||
\(645\) | −2.75510 | + | 1.41082i | −0.108482 | + | 0.0555511i | ||||
\(646\) | −27.4031 | + | 12.3549i | −1.07816 | + | 0.486097i | ||||
\(647\) | −36.6526 | − | 15.1820i | −1.44096 | − | 0.596866i | −0.480931 | − | 0.876758i | \(-0.659701\pi\) |
−0.960032 | + | 0.279892i | \(0.909701\pi\) | |||||||
\(648\) | −13.6701 | + | 21.4739i | −0.537012 | + | 0.843575i | ||||
\(649\) | 45.2735 | − | 18.7529i | 1.77714 | − | 0.736116i | ||||
\(650\) | 2.38427 | + | 2.24144i | 0.0935186 | + | 0.0879164i | ||||
\(651\) | −13.6349 | − | 4.39975i | −0.534392 | − | 0.172440i | ||||
\(652\) | −8.81991 | + | 6.71586i | −0.345414 | + | 0.263013i | ||||
\(653\) | 1.13359 | − | 17.2953i | 0.0443609 | − | 0.676816i | −0.916543 | − | 0.399935i | \(-0.869033\pi\) |
0.960904 | − | 0.276881i | \(-0.0893008\pi\) | |||||||
\(654\) | 7.51971 | − | 26.0263i | 0.294044 | − | 1.01771i | ||||
\(655\) | 0.499136 | + | 1.86280i | 0.0195029 | + | 0.0727857i | ||||
\(656\) | −21.7098 | + | 5.64461i | −0.847625 | + | 0.220385i | ||||
\(657\) | 23.3029 | − | 14.4101i | 0.909132 | − | 0.562190i | ||||
\(658\) | 0.586531 | − | 1.28813i | 0.0228653 | − | 0.0502166i | ||||
\(659\) | −20.8592 | + | 10.2866i | −0.812561 | + | 0.400711i | −0.800586 | − | 0.599218i | \(-0.795478\pi\) |
−0.0119746 | + | 0.999928i | \(0.503812\pi\) | |||||||
\(660\) | 1.89596 | − | 2.53007i | 0.0738002 | − | 0.0984827i | ||||
\(661\) | 1.75269 | + | 5.16324i | 0.0681716 | + | 0.200827i | 0.975677 | − | 0.219214i | \(-0.0703492\pi\) |
−0.907505 | + | 0.420041i | \(0.862016\pi\) | |||||||
\(662\) | −10.0196 | + | 18.6618i | −0.389421 | + | 0.725313i | ||||
\(663\) | −3.59375 | + | 3.70406i | −0.139570 | + | 0.143854i | ||||
\(664\) | −12.4921 | + | 27.1669i | −0.484787 | + | 1.05428i | ||||
\(665\) | 1.33861 | + | 0.554471i | 0.0519092 | + | 0.0215015i | ||||
\(666\) | −21.8870 | + | 32.4494i | −0.848105 | + | 1.25739i | ||||
\(667\) | 12.7274 | + | 19.0480i | 0.492808 | + | 0.737540i | ||||
\(668\) | 29.6019 | − | 19.6207i | 1.14533 | − | 0.759148i | ||||
\(669\) | −13.2483 | − | 6.28625i | −0.512210 | − | 0.243040i | ||||
\(670\) | 0.740086 | − | 0.393819i | 0.0285920 | − | 0.0152145i | ||||
\(671\) | −37.5482 | + | 21.6785i | −1.44953 | + | 0.836889i | ||||
\(672\) | 4.57673 | + | 14.7769i | 0.176551 | + | 0.570031i | ||||
\(673\) | −30.7149 | − | 17.7332i | −1.18397 | − | 0.683566i | −0.227041 | − | 0.973885i | \(-0.572905\pi\) |
−0.956930 | + | 0.290319i | \(0.906239\pi\) | |||||||
\(674\) | −10.9064 | − | 0.377317i | −0.420098 | − | 0.0145337i | ||||
\(675\) | 15.9840 | − | 19.9855i | 0.615225 | − | 0.769242i | ||||
\(676\) | −24.2325 | + | 8.12556i | −0.932018 | + | 0.312522i | ||||
\(677\) | −39.9127 | + | 2.61601i | −1.53397 | + | 0.100542i | −0.808822 | − | 0.588053i | \(-0.799895\pi\) |
−0.725146 | + | 0.688595i | \(0.758228\pi\) | |||||||
\(678\) | 1.93778 | + | 42.1131i | 0.0744199 | + | 1.61734i | ||||
\(679\) | 0.465776 | + | 3.53792i | 0.0178748 | + | 0.135773i | ||||
\(680\) | −4.15639 | − | 2.61684i | −0.159390 | − | 0.100351i | ||||
\(681\) | −0.607843 | + | 2.41385i | −0.0232926 | + | 0.0924990i | ||||
\(682\) | −0.762214 | − | 24.6851i | −0.0291867 | − | 0.945241i | ||||
\(683\) | −12.9353 | − | 2.57300i | −0.494957 | − | 0.0984531i | −0.0587010 | − | 0.998276i | \(-0.518696\pi\) |
−0.436256 | + | 0.899823i | \(0.643696\pi\) | |||||||
\(684\) | −0.533090 | − | 20.1023i | −0.0203832 | − | 0.768629i | ||||
\(685\) | 1.40620 | + | 0.939594i | 0.0537282 | + | 0.0359000i | ||||
\(686\) | −20.9127 | + | 14.9272i | −0.798452 | + | 0.569921i | ||||
\(687\) | −10.3640 | + | 26.1311i | −0.395412 | + | 0.996964i | ||||
\(688\) | 25.6421 | − | 4.90279i | 0.977595 | − | 0.186917i | ||||
\(689\) | −3.04260 | − | 0.815263i | −0.115914 | − | 0.0310591i | ||||
\(690\) | −2.44886 | − | 2.54612i | −0.0932267 | − | 0.0969292i | ||||
\(691\) | −1.06584 | + | 0.525614i | −0.0405465 | + | 0.0199953i | −0.462449 | − | 0.886646i | \(-0.653029\pi\) |
0.421902 | + | 0.906641i | \(0.361362\pi\) | |||||||
\(692\) | 24.5158 | + | 18.9567i | 0.931951 | + | 0.720626i | ||||
\(693\) | 1.50824 | + | 15.7158i | 0.0572933 | + | 0.596992i | ||||
\(694\) | −39.9696 | − | 9.39791i | −1.51723 | − | 0.356740i | ||||
\(695\) | 0.442938 | − | 3.36445i | 0.0168016 | − | 0.127621i | ||||
\(696\) | −19.3236 | + | 8.97862i | −0.732459 | + | 0.340334i | ||||
\(697\) | 4.64214 | + | 35.2606i | 0.175834 | + | 1.33559i | ||||
\(698\) | 44.5422 | + | 4.47056i | 1.68595 | + | 0.169213i | ||||
\(699\) | −14.9403 | − | 29.1759i | −0.565094 | − | 1.10353i | ||||
\(700\) | −2.97730 | − | 15.2640i | −0.112532 | − | 0.576926i | ||||
\(701\) | 9.01796 | + | 45.3364i | 0.340604 | + | 1.71233i | 0.648758 | + | 0.760995i | \(0.275289\pi\) |
−0.308154 | + | 0.951336i | \(0.599711\pi\) | |||||||
\(702\) | −1.35548 | − | 3.17536i | −0.0511594 | − | 0.119846i | ||||
\(703\) | − | 30.9201i | − | 1.16617i | ||||||
\(704\) | −21.3351 | + | 15.9964i | −0.804095 | + | 0.602888i | ||||
\(705\) | −0.298618 | − | 0.0347312i | −0.0112466 | − | 0.00130805i | ||||
\(706\) | 5.25076 | − | 17.1944i | 0.197615 | − | 0.647120i | ||||
\(707\) | 0.292183 | + | 0.333170i | 0.0109887 | + | 0.0125302i | ||||
\(708\) | 50.7773 | − | 3.90988i | 1.90833 | − | 0.146942i | ||||
\(709\) | 51.1771 | − | 3.35432i | 1.92200 | − | 0.125974i | 0.943386 | − | 0.331697i | \(-0.107621\pi\) |
0.978610 | + | 0.205723i | \(0.0659545\pi\) | |||||||
\(710\) | −1.67443 | − | 1.20459i | −0.0628402 | − | 0.0452075i | ||||
\(711\) | 0.330727 | + | 0.734807i | 0.0124032 | + | 0.0275574i | ||||
\(712\) | 10.3453 | − | 3.07538i | 0.387708 | − | 0.115255i | ||||
\(713\) | −27.3590 | − | 3.60188i | −1.02460 | − | 0.134892i | ||||
\(714\) | 24.1438 | − | 4.31567i | 0.903557 | − | 0.161510i | ||||
\(715\) | 0.137837 | + | 0.406055i | 0.00515481 | + | 0.0151856i | ||||
\(716\) | 0.723557 | − | 5.34254i | 0.0270406 | − | 0.199660i | ||||
\(717\) | −2.64776 | + | 14.4491i | −0.0988824 | + | 0.539613i | ||||
\(718\) | −4.22930 | + | 25.3238i | −0.157836 | + | 0.945074i | ||||
\(719\) | 0.863696 | + | 0.863696i | 0.0322104 | + | 0.0322104i | 0.723029 | − | 0.690818i | \(-0.242749\pi\) |
−0.690818 | + | 0.723029i | \(0.742749\pi\) | |||||||
\(720\) | 2.68968 | − | 1.88727i | 0.100239 | − | 0.0703346i | ||||
\(721\) | −2.29407 | + | 2.29407i | −0.0854358 | + | 0.0854358i | ||||
\(722\) | −6.38152 | − | 8.94042i | −0.237495 | − | 0.332728i | ||||
\(723\) | 6.27758 | + | 17.6140i | 0.233466 | + | 0.655071i | ||||
\(724\) | −9.71223 | − | 36.7927i | −0.360952 | − | 1.36739i | ||||
\(725\) | 20.2842 | − | 6.88554i | 0.753335 | − | 0.255723i | ||||
\(726\) | −0.244973 | + | 0.114934i | −0.00909179 | + | 0.00426559i | ||||
\(727\) | 3.13695 | − | 23.8275i | 0.116343 | − | 0.883713i | −0.829368 | − | 0.558703i | \(-0.811299\pi\) |
0.945711 | − | 0.325010i | \(-0.105368\pi\) | |||||||
\(728\) | −2.00435 | − | 0.620228i | −0.0742861 | − | 0.0229872i | ||||
\(729\) | −23.9066 | + | 12.5489i | −0.885429 | + | 0.464775i | ||||
\(730\) | −3.49033 | + | 0.569599i | −0.129183 | + | 0.0210818i | ||||
\(731\) | −2.70713 | − | 41.3028i | −0.100127 | − | 1.52764i | ||||
\(732\) | −44.0903 | + | 9.29379i | −1.62962 | + | 0.343509i | ||||
\(733\) | 33.5910 | − | 29.4585i | 1.24071 | − | 1.08807i | 0.247849 | − | 0.968799i | \(-0.420276\pi\) |
0.992861 | − | 0.119275i | \(-0.0380571\pi\) | |||||||
\(734\) | 5.52837 | − | 2.94179i | 0.204056 | − | 0.108583i | ||||
\(735\) | 1.71535 | + | 1.27551i | 0.0632716 | + | 0.0470480i | ||||
\(736\) | 13.8008 | + | 26.4063i | 0.508703 | + | 0.973350i | ||||
\(737\) | −7.21637 | −0.265818 | ||||||||
\(738\) | −22.9546 | − | 6.25793i | −0.844970 | − | 0.230358i | ||||
\(739\) | 20.4757 | − | 4.07288i | 0.753212 | − | 0.149823i | 0.196471 | − | 0.980510i | \(-0.437052\pi\) |
0.556741 | + | 0.830686i | \(0.312052\pi\) | |||||||
\(740\) | 4.21113 | − | 2.79122i | 0.154804 | − | 0.102607i | ||||
\(741\) | 2.29041 | + | 1.48083i | 0.0841405 | + | 0.0543997i | ||||
\(742\) | 9.47508 | + | 11.5892i | 0.347841 | + | 0.425454i | ||||
\(743\) | −13.4492 | + | 1.77062i | −0.493404 | + | 0.0649579i | −0.373123 | − | 0.927782i | \(-0.621713\pi\) |
−0.120281 | + | 0.992740i | \(0.538380\pi\) | |||||||
\(744\) | 7.21588 | − | 24.6312i | 0.264547 | − | 0.903025i | ||||
\(745\) | −3.67160 | − | 0.483375i | −0.134517 | − | 0.0177095i | ||||
\(746\) | −1.61180 | + | 0.998133i | −0.0590121 | + | 0.0365443i | ||||
\(747\) | −25.8257 | + | 18.4090i | −0.944912 | + | 0.673549i | ||||
\(748\) | 21.0029 | + | 36.6923i | 0.767944 | + | 1.34160i | ||||
\(749\) | 4.72966 | + | 9.59080i | 0.172818 | + | 0.350440i | ||||
\(750\) | −5.82861 | + | 3.21551i | −0.212831 | + | 0.117414i | ||||
\(751\) | 4.02403 | − | 15.0179i | 0.146839 | − | 0.548011i | −0.852828 | − | 0.522193i | \(-0.825114\pi\) |
0.999667 | − | 0.0258182i | \(-0.00821909\pi\) | |||||||
\(752\) | 2.33531 | + | 0.987705i | 0.0851599 | + | 0.0360179i | ||||
\(753\) | −35.4275 | + | 28.0452i | −1.29105 | + | 1.02202i | ||||
\(754\) | 0.476056 | − | 2.85048i | 0.0173369 | − | 0.103808i | ||||
\(755\) | −2.59722 | + | 3.88702i | −0.0945225 | + | 0.141463i | ||||
\(756\) | −3.58344 | + | 16.0117i | −0.130329 | + | 0.582340i | ||||
\(757\) | −5.88729 | + | 29.5974i | −0.213977 | + | 1.07574i | 0.713156 | + | 0.701005i | \(0.247265\pi\) |
−0.927133 | + | 0.374731i | \(0.877735\pi\) | |||||||
\(758\) | 24.4620 | − | 26.0208i | 0.888500 | − | 0.945118i | ||||
\(759\) | 8.31337 | + | 29.2503i | 0.301756 | + | 1.06172i | ||||
\(760\) | −0.927838 | + | 2.42415i | −0.0336562 | + | 0.0879332i | ||||
\(761\) | −23.6954 | + | 3.11956i | −0.858957 | + | 0.113084i | −0.547122 | − | 0.837053i | \(-0.684277\pi\) |
−0.311835 | + | 0.950136i | \(0.600943\pi\) | |||||||
\(762\) | −19.0316 | + | 6.04980i | −0.689442 | + | 0.219161i | ||||
\(763\) | −1.14205 | − | 17.4243i | −0.0413448 | − | 0.630800i | ||||
\(764\) | 2.74668 | − | 39.6491i | 0.0993715 | − | 1.43445i | ||||
\(765\) | −2.44426 | − | 4.60049i | −0.0883723 | − | 0.166331i | ||||
\(766\) | 18.3968 | + | 19.7153i | 0.664703 | + | 0.712343i | ||||
\(767\) | −3.45365 | + | 5.98191i | −0.124704 | + | 0.215994i | ||||
\(768\) | −26.2398 | + | 8.91470i | −0.946848 | + | 0.321682i | ||||
\(769\) | −14.0665 | − | 24.3640i | −0.507253 | − | 0.878587i | −0.999965 | − | 0.00839491i | \(-0.997328\pi\) |
0.492712 | − | 0.870192i | \(-0.336006\pi\) | |||||||
\(770\) | 0.595180 | − | 1.94901i | 0.0214488 | − | 0.0702374i | ||||
\(771\) | 11.1435 | + | 16.1439i | 0.401324 | + | 0.581407i | ||||
\(772\) | −22.7968 | − | 15.3552i | −0.820476 | − | 0.552644i | ||||
\(773\) | −8.01960 | + | 5.35853i | −0.288445 | + | 0.192733i | −0.691371 | − | 0.722500i | \(-0.742993\pi\) |
0.402926 | + | 0.915232i | \(0.367993\pi\) | |||||||
\(774\) | 26.1817 | + | 9.01483i | 0.941081 | + | 0.324031i | ||||
\(775\) | −9.87435 | + | 23.8388i | −0.354697 | + | 0.856315i | ||||
\(776\) | −6.31304 | + | 1.00619i | −0.226625 | + | 0.0361200i | ||||
\(777\) | −6.16061 | + | 24.4649i | −0.221011 | + | 0.877672i | ||||
\(778\) | −15.1059 | − | 50.1325i | −0.541573 | − | 1.79734i | ||||
\(779\) | 17.7977 | − | 6.04152i | 0.637670 | − | 0.216460i | ||||
\(780\) | 0.00507988 | + | 0.445618i | 0.000181889 | + | 0.0159557i | ||||
\(781\) | 7.85308 | + | 15.9245i | 0.281005 | + | 0.569822i | ||||
\(782\) | 44.2427 | − | 16.5580i | 1.58212 | − | 0.592114i | ||||
\(783\) | −22.5175 | − | 1.93129i | −0.804711 | − | 0.0690188i | ||||
\(784\) | −10.8688 | − | 14.3845i | −0.388172 | − | 0.513733i | ||||
\(785\) | −6.02602 | + | 1.61467i | −0.215078 | + | 0.0576299i | ||||
\(786\) | 8.91531 | − | 14.7701i | 0.317999 | − | 0.526831i | ||||
\(787\) | −16.8192 | − | 1.10239i | −0.599540 | − | 0.0392959i | −0.237388 | − | 0.971415i | \(-0.576291\pi\) |
−0.362152 | + | 0.932119i | \(0.617958\pi\) | |||||||
\(788\) | 4.79903 | − | 8.24131i | 0.170958 | − | 0.293585i | ||||
\(789\) | −13.2284 | − | 14.6320i | −0.470944 | − | 0.520912i | ||||
\(790\) | −0.00321006 | − | 0.103961i | −0.000114209 | − | 0.00369877i | ||||
\(791\) | 10.3987 | + | 25.1047i | 0.369735 | + | 0.892619i | ||||
\(792\) | −28.0704 | + | 3.46533i | −0.997437 | + | 0.123135i | ||||
\(793\) | 2.33872 | − | 5.64617i | 0.0830504 | − | 0.200502i | ||||
\(794\) | −11.5058 | + | 30.3987i | −0.408325 | + | 1.07881i | ||||
\(795\) | 1.72633 | − | 2.67012i | 0.0612265 | − | 0.0946995i | ||||
\(796\) | 0.565392 | + | 9.14667i | 0.0200398 | + | 0.324195i | ||||
\(797\) | −9.24173 | − | 10.5382i | −0.327359 | − | 0.373281i | 0.564626 | − | 0.825347i | \(-0.309021\pi\) |
−0.891985 | + | 0.452066i | \(0.850687\pi\) | |||||||
\(798\) | −4.72615 | − | 12.0693i | −0.167304 | − | 0.427249i | ||||
\(799\) | 2.01006 | − | 3.48153i | 0.0711109 | − | 0.123168i | ||||
\(800\) | 27.1899 | − | 6.07416i | 0.961310 | − | 0.214754i | ||||
\(801\) | 11.1419 | + | 2.62728i | 0.393679 | + | 0.0928305i | ||||
\(802\) | −0.644762 | + | 18.6369i | −0.0227673 | + | 0.658093i | ||||
\(803\) | 28.8263 | + | 9.78520i | 1.01726 | + | 0.345312i | ||||
\(804\) | −7.12870 | − | 2.32959i | −0.251410 | − | 0.0821583i | ||||
\(805\) | −2.04219 | − | 1.00710i | −0.0719776 | − | 0.0354954i | ||||
\(806\) | 2.20341 | + | 2.69505i | 0.0776118 | + | 0.0949292i | ||||
\(807\) | −16.6103 | + | 29.8012i | −0.584711 | + | 1.04905i | ||||
\(808\) | −0.582429 | + | 0.539444i | −0.0204898 | + | 0.0189776i | ||||
\(809\) | −24.7495 | + | 10.2516i | −0.870145 | + | 0.360426i | −0.772667 | − | 0.634812i | \(-0.781078\pi\) |
−0.0974784 | + | 0.995238i | \(0.531078\pi\) | |||||||
\(810\) | 3.47055 | − | 0.317821i | 0.121943 | − | 0.0111671i | ||||
\(811\) | 3.32862 | − | 16.7341i | 0.116884 | − | 0.587614i | −0.877302 | − | 0.479938i | \(-0.840659\pi\) |
0.994186 | − | 0.107676i | \(-0.0343409\pi\) | |||||||
\(812\) | −9.74745 | + | 9.67531i | −0.342069 | + | 0.339537i | ||||
\(813\) | 17.5684 | + | 14.9434i | 0.616150 | + | 0.524089i | ||||
\(814\) | −43.2870 | + | 4.18224i | −1.51721 | + | 0.146587i | ||||
\(815\) | 1.46600 | + | 0.392812i | 0.0513516 | + | 0.0137596i | ||||
\(816\) | 8.90279 | + | 43.0267i | 0.311660 | + | 1.50623i | ||||
\(817\) | −21.1291 | + | 5.66152i | −0.739212 | + | 0.198071i | ||||
\(818\) | −22.4772 | + | 8.41218i | −0.785896 | + | 0.294125i | ||||
\(819\) | −1.51720 | − | 1.62803i | −0.0530152 | − | 0.0568879i | ||||
\(820\) | 2.42946 | + | 1.87856i | 0.0848403 | + | 0.0656023i | ||||
\(821\) | 17.0358 | − | 19.4257i | 0.594555 | − | 0.677960i | −0.373808 | − | 0.927506i | \(-0.621948\pi\) |
0.968363 | + | 0.249546i | \(0.0802813\pi\) | |||||||
\(822\) | −2.66217 | − | 14.8934i | −0.0928540 | − | 0.519466i | ||||
\(823\) | −11.7089 | + | 15.2593i | −0.408146 | + | 0.531907i | −0.951521 | − | 0.307583i | \(-0.900480\pi\) |
0.543375 | + | 0.839490i | \(0.317146\pi\) | |||||||
\(824\) | −4.21980 | − | 3.99664i | −0.147004 | − | 0.139230i | ||||
\(825\) | 28.4306 | − | 0.429720i | 0.989826 | − | 0.0149609i | ||||
\(826\) | 29.9250 | − | 13.4919i | 1.04122 | − | 0.469444i | ||||
\(827\) | −14.2518 | − | 21.3293i | −0.495583 | − | 0.741692i | 0.496396 | − | 0.868096i | \(-0.334656\pi\) |
−0.991979 | + | 0.126404i | \(0.959656\pi\) | |||||||
\(828\) | −1.23021 | + | 31.5787i | −0.0427526 | + | 1.09743i | ||||
\(829\) | 28.4399 | − | 5.65704i | 0.987758 | − | 0.196477i | 0.325328 | − | 0.945601i | \(-0.394525\pi\) |
0.662430 | + | 0.749124i | \(0.269525\pi\) | |||||||
\(830\) | 3.98848 | − | 0.922176i | 0.138442 | − | 0.0320092i | ||||
\(831\) | 13.6530 | + | 10.1522i | 0.473617 | + | 0.352176i | ||||
\(832\) | 1.01322 | − | 3.61955i | 0.0351269 | − | 0.125485i | ||||
\(833\) | −24.7550 | + | 14.2923i | −0.857711 | + | 0.495199i | ||||
\(834\) | −24.4394 | + | 18.0081i | −0.846268 | + | 0.623570i | ||||
\(835\) | −4.60407 | − | 1.56287i | −0.159330 | − | 0.0540854i | ||||
\(836\) | 16.8530 | − | 14.6693i | 0.582873 | − | 0.507349i | ||||
\(837\) | 19.6330 | − | 18.8589i | 0.678617 | − | 0.651858i | ||||
\(838\) | 15.4162 | − | 21.4291i | 0.532545 | − | 0.740257i | ||||
\(839\) | −6.76085 | + | 5.18778i | −0.233411 | + | 0.179102i | −0.718844 | − | 0.695171i | \(-0.755328\pi\) |
0.485433 | + | 0.874274i | \(0.338662\pi\) | |||||||
\(840\) | 1.21713 | − | 1.73319i | 0.0419949 | − | 0.0598009i | ||||
\(841\) | 7.99909 | + | 6.13792i | 0.275831 | + | 0.211652i | ||||
\(842\) | −11.2669 | − | 37.3919i | −0.388284 | − | 1.28861i | ||||
\(843\) | −9.83450 | − | 10.8780i | −0.338718 | − | 0.374657i | ||||
\(844\) | 25.0792 | − | 10.2792i | 0.863263 | − | 0.353824i | ||||
\(845\) | 2.90942 | + | 1.94401i | 0.100087 | + | 0.0668760i | ||||
\(846\) | 1.62790 | + | 2.14076i | 0.0559682 | + | 0.0736007i | ||||
\(847\) | −0.123329 | + | 0.123329i | −0.00423765 | + | 0.00423765i | ||||
\(848\) | −20.2931 | + | 17.5316i | −0.696869 | + | 0.602038i | ||||
\(849\) | −9.07774 | − | 3.60037i | −0.311547 | − | 0.123564i | ||||
\(850\) | −4.24793 | − | 43.9669i | −0.145703 | − | 1.50805i | ||||
\(851\) | −3.17808 | + | 48.4881i | −0.108943 | + | 1.66215i | ||||
\(852\) | 2.61694 | + | 18.2661i | 0.0896548 | + | 0.625787i | ||||
\(853\) | 19.0013 | − | 21.6668i | 0.650591 | − | 0.741856i | −0.328674 | − | 0.944444i | \(-0.606602\pi\) |
0.979264 | + | 0.202587i | \(0.0649350\pi\) | |||||||
\(854\) | −24.6921 | + | 15.2910i | −0.844946 | + | 0.523248i | ||||
\(855\) | −2.13253 | + | 1.74123i | −0.0729310 | + | 0.0595487i | ||||
\(856\) | −16.9451 | + | 8.93634i | −0.579173 | + | 0.305438i | ||||
\(857\) | 45.3063 | − | 34.7648i | 1.54763 | − | 1.18754i | 0.639553 | − | 0.768747i | \(-0.279120\pi\) |
0.908081 | − | 0.418794i | \(-0.137547\pi\) | |||||||
\(858\) | 1.76331 | − | 3.40680i | 0.0601985 | − | 0.116306i | ||||
\(859\) | −10.4846 | + | 21.2606i | −0.357728 | + | 0.725401i | −0.999126 | − | 0.0418075i | \(-0.986688\pi\) |
0.641397 | + | 0.767209i | \(0.278355\pi\) | |||||||
\(860\) | −2.67843 | − | 2.36657i | −0.0913336 | − | 0.0806995i | ||||
\(861\) | −15.2858 | + | 1.23415i | −0.520939 | + | 0.0420597i | ||||
\(862\) | 6.49843 | − | 10.4072i | 0.221337 | − | 0.354470i | ||||
\(863\) | 45.4024i | 1.54551i | 0.634702 | + | 0.772757i | \(0.281123\pi\) | ||||
−0.634702 | + | 0.772757i | \(0.718877\pi\) | |||||||
\(864\) | −28.8480 | − | 5.63844i | −0.981429 | − | 0.191824i | ||||
\(865\) | − | 4.24274i | − | 0.144257i | ||||||
\(866\) | −15.9619 | − | 9.96691i | −0.542408 | − | 0.338689i | ||||
\(867\) | 40.0875 | − | 3.23659i | 1.36144 | − | 0.109920i | ||||
\(868\) | −1.02067 | − | 16.5120i | −0.0346440 | − | 0.560455i | ||||
\(869\) | −0.395987 | + | 0.802982i | −0.0134329 | + | 0.0272393i | ||||
\(870\) | 2.59071 | + | 1.34092i | 0.0878333 | + | 0.0454613i | ||||
\(871\) | 0.806985 | − | 0.619222i | 0.0273436 | − | 0.0209815i | ||||
\(872\) | 31.1477 | − | 2.89265i | 1.05480 | − | 0.0979575i | ||||
\(873\) | −6.33993 | − | 2.40428i | −0.214574 | − | 0.0813724i | ||||
\(874\) | −13.1439 | − | 21.2249i | −0.444598 | − | 0.717942i | ||||
\(875\) | −2.82903 | + | 3.22589i | −0.0956387 | + | 0.109055i | ||||
\(876\) | 25.3172 | + | 18.9720i | 0.855389 | + | 0.641005i | ||||
\(877\) | 0.941479 | − | 14.3642i | 0.0317915 | − | 0.485044i | −0.952043 | − | 0.305964i | \(-0.901021\pi\) |
0.983834 | − | 0.179080i | \(-0.0573121\pi\) | |||||||
\(878\) | 20.5777 | − | 1.98815i | 0.694464 | − | 0.0670967i | ||||
\(879\) | 32.9510 | + | 13.0689i | 1.11141 | + | 0.440802i | ||||
\(880\) | 3.51922 | + | 0.971051i | 0.118633 | + | 0.0327341i | ||||
\(881\) | −6.98432 | + | 6.98432i | −0.235308 | + | 0.235308i | −0.814904 | − | 0.579596i | \(-0.803210\pi\) |
0.579596 | + | 0.814904i | \(0.303210\pi\) | |||||||
\(882\) | −2.41342 | − | 18.9698i | −0.0812641 | − | 0.638745i | ||||
\(883\) | −33.0505 | − | 22.0837i | −1.11224 | − | 0.743174i | −0.143105 | − | 0.989708i | \(-0.545709\pi\) |
−0.969134 | + | 0.246533i | \(0.920709\pi\) | |||||||
\(884\) | −5.49718 | − | 2.30097i | −0.184890 | − | 0.0773899i | ||||
\(885\) | −4.67587 | − | 5.17200i | −0.157178 | − | 0.173855i | ||||
\(886\) | 40.2203 | − | 12.1192i | 1.35123 | − | 0.407151i | ||||
\(887\) | −15.3761 | − | 11.7985i | −0.516279 | − | 0.396155i | 0.317496 | − | 0.948260i | \(-0.397158\pi\) |
−0.833775 | + | 0.552105i | \(0.813825\pi\) | |||||||
\(888\) | −44.1112 | − | 9.84248i | −1.48028 | − | 0.330292i | ||||
\(889\) | −10.2119 | + | 7.83589i | −0.342497 | + | 0.262807i | ||||
\(890\) | −1.19946 | − | 0.862899i | −0.0402061 | − | 0.0289244i | ||||
\(891\) | −27.6579 | − | 11.6185i | −0.926574 | − | 0.389234i | ||||
\(892\) | 1.17020 | − | 16.8921i | 0.0391811 | − | 0.565590i | ||||
\(893\) | −2.01180 | − | 0.682912i | −0.0673222 | − | 0.0228528i | ||||
\(894\) | 19.6522 | + | 26.6706i | 0.657267 | + | 0.891999i | ||||
\(895\) | −0.639219 | + | 0.369053i | −0.0213667 | + | 0.0123361i | ||||
\(896\) | −13.9541 | + | 11.1514i | −0.466173 | + | 0.372543i | ||||
\(897\) | −3.43956 | − | 2.55762i | −0.114844 | − | 0.0853964i | ||||
\(898\) | −11.7152 | − | 50.6691i | −0.390941 | − | 1.69085i | ||||
\(899\) | 22.3493 | − | 4.44556i | 0.745392 | − | 0.148268i | ||||
\(900\) | 28.2239 | + | 8.75346i | 0.940797 | + | 0.291782i | ||||
\(901\) | 23.6219 | + | 35.3526i | 0.786959 | + | 1.17777i | ||||
\(902\) | −10.8652 | − | 24.0990i | −0.361773 | − | 0.802410i | ||||
\(903\) | 17.8459 | − | 0.269736i | 0.593876 | − | 0.00897626i | ||||
\(904\) | −44.4516 | + | 19.8430i | −1.47844 | + | 0.659968i | ||||
\(905\) | −3.17146 | + | 4.13313i | −0.105423 | + | 0.137390i | ||||
\(906\) | 41.1682 | − | 7.35877i | 1.36772 | − | 0.244479i | ||||
\(907\) | −15.2777 | + | 17.4209i | −0.507288 | + | 0.578452i | −0.947627 | − | 0.319380i | \(-0.896525\pi\) |
0.440338 | + | 0.897832i | \(0.354859\pi\) | |||||||
\(908\) | −2.85107 | + | 0.364582i | −0.0946162 | + | 0.0120991i | ||||
\(909\) | −0.820501 | + | 0.189154i | −0.0272143 | + | 0.00627386i | ||||
\(910\) | 0.100683 | + | 0.269023i | 0.00333761 | + | 0.00891802i | ||||
\(911\) | 27.8681 | − | 7.46723i | 0.923310 | − | 0.247400i | 0.234311 | − | 0.972162i | \(-0.424717\pi\) |
0.689000 | + | 0.724761i | \(0.258050\pi\) | |||||||
\(912\) | 21.3838 | − | 9.05060i | 0.708089 | − | 0.299695i | ||||
\(913\) | −34.0374 | − | 9.12030i | −1.12647 | − | 0.301838i | ||||
\(914\) | −4.15937 | − | 43.0503i | −0.137580 | − | 1.42398i | ||||
\(915\) | 4.69897 | + | 3.99688i | 0.155343 | + | 0.132133i | ||||
\(916\) | −32.4600 | − | 0.120571i | −1.07251 | − | 0.00398378i | ||||
\(917\) | 2.16942 | − | 10.9064i | 0.0716404 | − | 0.360161i | ||||
\(918\) | −14.5045 | + | 44.2887i | −0.478721 | + | 1.46175i | ||||
\(919\) | 53.6597 | − | 22.2266i | 1.77007 | − | 0.733187i | 0.775237 | − | 0.631671i | \(-0.217631\pi\) |
0.994834 | − | 0.101516i | \(-0.0323694\pi\) | |||||||
\(920\) | 1.70417 | − | 3.70612i | 0.0561850 | − | 0.122187i | ||||
\(921\) | 8.90473 | − | 15.9763i | 0.293421 | − | 0.526437i | ||||
\(922\) | 7.94845 | − | 6.49846i | 0.261768 | − | 0.214015i | ||||
\(923\) | −2.24463 | − | 1.10693i | −0.0738829 | − | 0.0364350i | ||||
\(924\) | −16.2573 | + | 8.24894i | −0.534827 | + | 0.271370i | ||||
\(925\) | 43.0250 | + | 14.6050i | 1.41465 | + | 0.480210i | ||||
\(926\) | 45.6797 | + | 1.58033i | 1.50113 | + | 0.0519329i | ||||
\(927\) | −1.77475 | − | 5.90361i | −0.0582904 | − | 0.193900i | ||||
\(928\) | −17.8006 | − | 16.9851i | −0.584334 | − | 0.557564i | ||||
\(929\) | 8.46400 | − | 14.6601i | 0.277695 | − | 0.480982i | −0.693117 | − | 0.720826i | \(-0.743763\pi\) |
0.970811 | + | 0.239844i | \(0.0770962\pi\) | |||||||
\(930\) | −3.27199 | + | 1.28126i | −0.107293 | + | 0.0420142i | ||||
\(931\) | 9.96030 | + | 11.3575i | 0.326436 | + | 0.372228i | ||||
\(932\) | 25.0615 | − | 28.3640i | 0.820917 | − | 0.929092i | ||||
\(933\) | 13.0847 | − | 20.2382i | 0.428374 | − | 0.662570i | ||||
\(934\) | 30.1061 | + | 11.3950i | 0.985102 | + | 0.372856i | ||||
\(935\) | 2.21503 | − | 5.34757i | 0.0724394 | − | 0.174884i | ||||
\(936\) | 2.84167 | − | 2.79618i | 0.0928829 | − | 0.0913959i | ||||
\(937\) | 22.1660 | + | 53.5134i | 0.724131 | + | 1.74821i | 0.661226 | + | 0.750187i | \(0.270036\pi\) |
0.0629047 | + | 0.998020i | \(0.479964\pi\) | |||||||
\(938\) | −4.83169 | + | 0.149191i | −0.157760 | + | 0.00487125i | ||||
\(939\) | 19.1259 | + | 21.1552i | 0.624149 | + | 0.690373i | ||||
\(940\) | −0.0886002 | − | 0.335642i | −0.00288982 | − | 0.0109474i | ||||
\(941\) | 0.815327 | + | 0.0534394i | 0.0265789 | + | 0.00174207i | 0.0786868 | − | 0.996899i | \(-0.474927\pi\) |
−0.0521079 | + | 0.998641i | \(0.516594\pi\) | |||||||
\(942\) | 47.7800 | + | 28.8403i | 1.55676 | + | 0.939669i | ||||
\(943\) | −28.5309 | + | 7.64484i | −0.929095 | + | 0.248950i | ||||
\(944\) | 25.6168 | + | 52.9334i | 0.833755 | + | 1.72284i | ||||
\(945\) | 2.03425 | − | 0.952818i | 0.0661741 | − | 0.0309952i | ||||
\(946\) | 10.7838 | + | 28.8142i | 0.350613 | + | 0.936829i | ||||
\(947\) | −8.58243 | − | 17.4034i | −0.278892 | − | 0.565536i | 0.711685 | − | 0.702499i | \(-0.247933\pi\) |
−0.990576 | + | 0.136963i | \(0.956266\pi\) | |||||||
\(948\) | −0.650395 | + | 0.665394i | −0.0211238 | + | 0.0216110i | ||||
\(949\) | −4.06320 | + | 1.37927i | −0.131897 | + | 0.0447731i | ||||
\(950\) | −22.3511 | + | 6.73482i | −0.725165 | + | 0.218507i | ||||
\(951\) | 2.10051 | − | 8.34150i | 0.0681138 | − | 0.270492i | ||||
\(952\) | 14.8210 | + | 24.1329i | 0.480352 | + | 0.782153i | ||||
\(953\) | 13.8737 | − | 33.4941i | 0.449413 | − | 1.08498i | −0.523129 | − | 0.852253i | \(-0.675236\pi\) |
0.972542 | − | 0.232726i | \(-0.0747645\pi\) | |||||||
\(954\) | −27.9214 | + | 5.42761i | −0.903989 | + | 0.175726i | ||||
\(955\) | −4.52422 | + | 3.02299i | −0.146400 | + | 0.0978216i | ||||
\(956\) | −16.6485 | + | 3.24735i | −0.538451 | + | 0.105027i | ||||
\(957\) | −14.2647 | − | 20.6655i | −0.461111 | − | 0.668020i | ||||
\(958\) | −48.5390 | − | 14.8226i | −1.56822 | − | 0.478898i | ||||
\(959\) | −4.87591 | − | 8.44532i | −0.157451 | − | 0.272713i | ||||
\(960\) | 3.16300 | + | 2.09533i | 0.102085 | + | 0.0676265i | ||||
\(961\) | 1.77569 | − | 3.07558i | 0.0572803 | − | 0.0992123i | ||||
\(962\) | 4.48179 | − | 4.18205i | 0.144499 | − | 0.134835i | ||||
\(963\) | −20.3066 | − | 0.715550i | −0.654371 | − | 0.0230583i | ||||
\(964\) | −16.2865 | + | 14.1762i | −0.524552 | + | 0.456584i | ||||
\(965\) | 0.246112 | + | 3.75495i | 0.00792264 | + | 0.120876i | ||||
\(966\) | 6.17090 | + | 19.4125i | 0.198546 | + | 0.624589i | ||||
\(967\) | 4.57943 | − | 0.602893i | 0.147264 | − | 0.0193877i | −0.0565335 | − | 0.998401i | \(-0.518005\pi\) |
0.203798 | + | 0.979013i | \(0.434671\pi\) | |||||||
\(968\) | −0.226856 | − | 0.214859i | −0.00729144 | − | 0.00690584i | ||||
\(969\) | −10.0648 | − | 35.4127i | −0.323329 | − | 1.13762i | ||||
\(970\) | 0.637669 | + | 0.599469i | 0.0204743 | + | 0.0192478i | ||||
\(971\) | −6.86983 | + | 34.5370i | −0.220463 | + | 1.10834i | 0.698986 | + | 0.715135i | \(0.253635\pi\) |
−0.919449 | + | 0.393208i | \(0.871365\pi\) | |||||||
\(972\) | −23.5712 | − | 20.4058i | −0.756046 | − | 0.654518i | ||||
\(973\) | −10.8710 | + | 16.2696i | −0.348507 | + | 0.521578i | ||||
\(974\) | −48.1583 | − | 8.04287i | −1.54309 | − | 0.257710i | ||||
\(975\) | −3.14243 | + | 2.48762i | −0.100638 | + | 0.0796677i | ||||
\(976\) | −28.5841 | − | 43.4748i | −0.914954 | − | 1.39159i | ||||
\(977\) | 1.13208 | − | 4.22496i | 0.0362183 | − | 0.135169i | −0.945449 | − | 0.325769i | \(-0.894377\pi\) |
0.981668 | + | 0.190600i | \(0.0610435\pi\) | |||||||
\(978\) | −6.55841 | − | 11.8881i | −0.209715 | − | 0.380140i | ||||
\(979\) | 5.62548 | + | 11.4074i | 0.179791 | + | 0.364581i | ||||
\(980\) | −0.647693 | + | 2.38180i | −0.0206898 | + | 0.0760838i | ||||
\(981\) | 30.1876 | + | 13.7688i | 0.963814 | + | 0.439604i | ||||
\(982\) | 8.13119 | + | 13.1303i | 0.259477 | + | 0.419006i | ||||
\(983\) | 25.7167 | + | 3.38567i | 0.820235 | + | 0.107986i | 0.528953 | − | 0.848651i | \(-0.322585\pi\) |
0.291282 | + | 0.956637i | \(0.405918\pi\) | |||||||
\(984\) | −2.95358 | − | 27.3138i | −0.0941567 | − | 0.870731i | ||||
\(985\) | −1.29448 | + | 0.170421i | −0.0412454 | + | 0.00543006i | ||||
\(986\) | −30.2003 | + | 24.6910i | −0.961774 | + | 0.786323i | ||||
\(987\) | 1.45573 | + | 0.941177i | 0.0463363 | + | 0.0299580i | ||||
\(988\) | −0.625879 | + | 3.08655i | −0.0199119 | + | 0.0981961i | ||||
\(989\) | 33.7160 | − | 6.70652i | 1.07211 | − | 0.213255i | ||||
\(990\) | 2.72610 | + | 2.74995i | 0.0866412 | + | 0.0873992i | ||||
\(991\) | −49.2796 | −1.56542 | −0.782708 | − | 0.622389i | \(-0.786162\pi\) | ||||
−0.782708 | + | 0.622389i | \(0.786162\pi\) | |||||||
\(992\) | 29.5201 | − | 2.63093i | 0.937263 | − | 0.0835322i | ||||
\(993\) | −20.8174 | − | 15.4796i | −0.660621 | − | 0.491230i | ||||
\(994\) | 5.58722 | + | 10.4998i | 0.177216 | + | 0.333034i | ||||
\(995\) | 0.943280 | − | 0.827235i | 0.0299040 | − | 0.0262251i | ||||
\(996\) | −30.6797 | − | 19.9975i | −0.972123 | − | 0.633644i | ||||
\(997\) | −3.14100 | − | 47.9224i | −0.0994765 | − | 1.51772i | −0.697701 | − | 0.716389i | \(-0.745793\pi\) |
0.598224 | − | 0.801329i | \(-0.295873\pi\) | |||||||
\(998\) | −0.182144 | − | 1.11612i | −0.00576565 | − | 0.0353302i | ||||
\(999\) | −35.3985 | − | 32.3258i | −1.11996 | − | 1.02274i |
(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 | 576.2.bl.a.11.7 | ✓ | 1504 | |
9.5 | odd | 6 | inner | 576.2.bl.a.203.38 | yes | 1504 | |
64.35 | odd | 16 | inner | 576.2.bl.a.227.38 | yes | 1504 | |
576.419 | even | 48 | inner | 576.2.bl.a.419.7 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bl.a.11.7 | ✓ | 1504 | 1.1 | even | 1 | trivial | |
576.2.bl.a.203.38 | yes | 1504 | 9.5 | odd | 6 | inner | |
576.2.bl.a.227.38 | yes | 1504 | 64.35 | odd | 16 | inner | |
576.2.bl.a.419.7 | yes | 1504 | 576.419 | even | 48 | inner |