Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [114,2,Mod(25,114)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(114, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("114.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 114 = 2 \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 114.i (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.910294583043\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - x^{3} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 43.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 114.43 |
Dual form | 114.2.i.b.61.1 |
$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | 0.173648 | − | 0.984808i | 0.100256 | − | 0.568579i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −2.97178 | − | 2.49362i | −1.32902 | − | 1.11518i | −0.984305 | − | 0.176474i | \(-0.943531\pi\) |
−0.344716 | − | 0.938707i | \(-0.612025\pi\) | |||||||
\(6\) | 0.173648 | + | 0.984808i | 0.0708916 | + | 0.402046i | ||||
\(7\) | −0.613341 | − | 1.06234i | −0.231821 | − | 0.401526i | 0.726523 | − | 0.687142i | \(-0.241135\pi\) |
−0.958344 | + | 0.285616i | \(0.907802\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −0.939693 | − | 0.342020i | −0.313231 | − | 0.114007i | ||||
\(10\) | 3.64543 | + | 1.32683i | 1.15279 | + | 0.419580i | ||||
\(11\) | 1.06031 | − | 1.83651i | 0.319695 | − | 0.553727i | −0.660730 | − | 0.750624i | \(-0.729753\pi\) |
0.980424 | + | 0.196897i | \(0.0630863\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | 0.0851223 | + | 0.482753i | 0.0236087 | + | 0.133891i | 0.994334 | − | 0.106301i | \(-0.0339006\pi\) |
−0.970725 | + | 0.240192i | \(0.922790\pi\) | |||||||
\(14\) | 0.939693 | + | 0.788496i | 0.251143 | + | 0.210734i | ||||
\(15\) | −2.97178 | + | 2.49362i | −0.767311 | + | 0.643850i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 5.19846 | − | 1.89209i | 1.26081 | − | 0.458898i | 0.376771 | − | 0.926306i | \(-0.377034\pi\) |
0.884042 | + | 0.467408i | \(0.154812\pi\) | |||||||
\(18\) | 1.00000 | 0.235702 | ||||||||
\(19\) | 2.77719 | − | 3.35965i | 0.637131 | − | 0.770756i | ||||
\(20\) | −3.87939 | −0.867457 | ||||||||
\(21\) | −1.15270 | + | 0.419550i | −0.251541 | + | 0.0915533i | ||||
\(22\) | −0.368241 | + | 2.08840i | −0.0785092 | + | 0.445248i | ||||
\(23\) | −6.85117 | + | 5.74881i | −1.42857 | + | 1.19871i | −0.482013 | + | 0.876164i | \(0.660094\pi\) |
−0.946554 | + | 0.322546i | \(0.895461\pi\) | |||||||
\(24\) | 0.766044 | + | 0.642788i | 0.156368 | + | 0.131208i | ||||
\(25\) | 1.74510 | + | 9.89695i | 0.349020 | + | 1.97939i | ||||
\(26\) | −0.245100 | − | 0.424525i | −0.0480680 | − | 0.0832563i | ||||
\(27\) | −0.500000 | + | 0.866025i | −0.0962250 | + | 0.166667i | ||||
\(28\) | −1.15270 | − | 0.419550i | −0.217841 | − | 0.0792875i | ||||
\(29\) | 7.96451 | + | 2.89884i | 1.47897 | + | 0.538302i | 0.950521 | − | 0.310662i | \(-0.100551\pi\) |
0.528451 | + | 0.848964i | \(0.322773\pi\) | |||||||
\(30\) | 1.93969 | − | 3.35965i | 0.354138 | − | 0.613385i | ||||
\(31\) | −1.20574 | − | 2.08840i | −0.216557 | − | 0.375087i | 0.737196 | − | 0.675679i | \(-0.236149\pi\) |
−0.953753 | + | 0.300591i | \(0.902816\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | −1.62449 | − | 1.36310i | −0.282787 | − | 0.237286i | ||||
\(34\) | −4.23783 | + | 3.55596i | −0.726781 | + | 0.609842i | ||||
\(35\) | −0.826352 | + | 4.68647i | −0.139679 | + | 0.792159i | ||||
\(36\) | −0.939693 | + | 0.342020i | −0.156615 | + | 0.0570034i | ||||
\(37\) | 1.69459 | 0.278589 | 0.139295 | − | 0.990251i | \(-0.455516\pi\) | ||||
0.139295 | + | 0.990251i | \(0.455516\pi\) | |||||||
\(38\) | −1.46064 | + | 4.10689i | −0.236947 | + | 0.666225i | ||||
\(39\) | 0.490200 | 0.0784948 | ||||||||
\(40\) | 3.64543 | − | 1.32683i | 0.576393 | − | 0.209790i | ||||
\(41\) | 0.277189 | − | 1.57202i | 0.0432896 | − | 0.245508i | −0.955483 | − | 0.295048i | \(-0.904664\pi\) |
0.998772 | + | 0.0495401i | \(0.0157756\pi\) | |||||||
\(42\) | 0.939693 | − | 0.788496i | 0.144998 | − | 0.121668i | ||||
\(43\) | −5.08512 | − | 4.26692i | −0.775474 | − | 0.650700i | 0.166631 | − | 0.986019i | \(-0.446711\pi\) |
−0.942104 | + | 0.335320i | \(0.891156\pi\) | |||||||
\(44\) | −0.368241 | − | 2.08840i | −0.0555144 | − | 0.314838i | ||||
\(45\) | 1.93969 | + | 3.35965i | 0.289152 | + | 0.500826i | ||||
\(46\) | 4.47178 | − | 7.74535i | 0.659328 | − | 1.14199i | ||||
\(47\) | −2.03936 | − | 0.742267i | −0.297472 | − | 0.108271i | 0.188973 | − | 0.981982i | \(-0.439484\pi\) |
−0.486444 | + | 0.873711i | \(0.661706\pi\) | |||||||
\(48\) | −0.939693 | − | 0.342020i | −0.135633 | − | 0.0493664i | ||||
\(49\) | 2.74763 | − | 4.75903i | 0.392518 | − | 0.679861i | ||||
\(50\) | −5.02481 | − | 8.70323i | −0.710616 | − | 1.23082i | ||||
\(51\) | −0.960637 | − | 5.44804i | −0.134516 | − | 0.762879i | ||||
\(52\) | 0.375515 | + | 0.315094i | 0.0520745 | + | 0.0436957i | ||||
\(53\) | 6.80793 | − | 5.71253i | 0.935142 | − | 0.784677i | −0.0415917 | − | 0.999135i | \(-0.513243\pi\) |
0.976733 | + | 0.214458i | \(0.0687984\pi\) | |||||||
\(54\) | 0.173648 | − | 0.984808i | 0.0236305 | − | 0.134015i | ||||
\(55\) | −7.73055 | + | 2.81369i | −1.04239 | + | 0.379398i | ||||
\(56\) | 1.22668 | 0.163922 | ||||||||
\(57\) | −2.82635 | − | 3.31839i | −0.374359 | − | 0.439532i | ||||
\(58\) | −8.47565 | −1.11291 | ||||||||
\(59\) | 10.7306 | − | 3.90560i | 1.39700 | − | 0.508466i | 0.469713 | − | 0.882819i | \(-0.344357\pi\) |
0.927286 | + | 0.374353i | \(0.122135\pi\) | |||||||
\(60\) | −0.673648 | + | 3.82045i | −0.0869676 | + | 0.493218i | ||||
\(61\) | 0.0320889 | − | 0.0269258i | 0.00410856 | − | 0.00344749i | −0.640731 | − | 0.767765i | \(-0.721369\pi\) |
0.644840 | + | 0.764318i | \(0.276924\pi\) | |||||||
\(62\) | 1.84730 | + | 1.55007i | 0.234607 | + | 0.196859i | ||||
\(63\) | 0.213011 | + | 1.20805i | 0.0268369 | + | 0.152199i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0.950837 | − | 1.64690i | 0.117937 | − | 0.204273i | ||||
\(66\) | 1.99273 | + | 0.725293i | 0.245288 | + | 0.0892774i | ||||
\(67\) | −4.20574 | − | 1.53076i | −0.513813 | − | 0.187012i | 0.0720836 | − | 0.997399i | \(-0.477035\pi\) |
−0.585896 | + | 0.810386i | \(0.699257\pi\) | |||||||
\(68\) | 2.76604 | − | 4.79093i | 0.335432 | − | 0.580986i | ||||
\(69\) | 4.47178 | + | 7.74535i | 0.538339 | + | 0.932431i | ||||
\(70\) | −0.826352 | − | 4.68647i | −0.0987679 | − | 0.560141i | ||||
\(71\) | 2.02094 | + | 1.69577i | 0.239842 | + | 0.201251i | 0.754783 | − | 0.655974i | \(-0.227742\pi\) |
−0.514941 | + | 0.857225i | \(0.672186\pi\) | |||||||
\(72\) | 0.766044 | − | 0.642788i | 0.0902792 | − | 0.0757532i | ||||
\(73\) | −2.66772 | + | 15.1294i | −0.312233 | + | 1.77076i | 0.275101 | + | 0.961415i | \(0.411289\pi\) |
−0.587334 | + | 0.809345i | \(0.699822\pi\) | |||||||
\(74\) | −1.59240 | + | 0.579585i | −0.185112 | + | 0.0673754i | ||||
\(75\) | 10.0496 | 1.16043 | ||||||||
\(76\) | −0.0320889 | − | 4.35878i | −0.00368085 | − | 0.499986i | ||||
\(77\) | −2.60132 | −0.296448 | ||||||||
\(78\) | −0.460637 | + | 0.167658i | −0.0521569 | + | 0.0189836i | ||||
\(79\) | −0.809278 | + | 4.58964i | −0.0910509 | + | 0.516375i | 0.904835 | + | 0.425762i | \(0.139994\pi\) |
−0.995886 | + | 0.0906133i | \(0.971117\pi\) | |||||||
\(80\) | −2.97178 | + | 2.49362i | −0.332255 | + | 0.278795i | ||||
\(81\) | 0.766044 | + | 0.642788i | 0.0851160 | + | 0.0714208i | ||||
\(82\) | 0.277189 | + | 1.57202i | 0.0306104 | + | 0.173600i | ||||
\(83\) | −6.24035 | − | 10.8086i | −0.684968 | − | 1.18640i | −0.973447 | − | 0.228913i | \(-0.926483\pi\) |
0.288479 | − | 0.957486i | \(-0.406850\pi\) | |||||||
\(84\) | −0.613341 | + | 1.06234i | −0.0669210 | + | 0.115911i | ||||
\(85\) | −20.1668 | − | 7.34013i | −2.18740 | − | 0.796149i | ||||
\(86\) | 6.23783 | + | 2.27038i | 0.672642 | + | 0.244822i | ||||
\(87\) | 4.23783 | − | 7.34013i | 0.454343 | − | 0.786945i | ||||
\(88\) | 1.06031 | + | 1.83651i | 0.113029 | + | 0.195772i | ||||
\(89\) | 1.46838 | + | 8.32759i | 0.155648 | + | 0.882722i | 0.958191 | + | 0.286129i | \(0.0923685\pi\) |
−0.802543 | + | 0.596594i | \(0.796520\pi\) | |||||||
\(90\) | −2.97178 | − | 2.49362i | −0.313253 | − | 0.262851i | ||||
\(91\) | 0.460637 | − | 0.386520i | 0.0482879 | − | 0.0405184i | ||||
\(92\) | −1.55303 | + | 8.80769i | −0.161915 | + | 0.918265i | ||||
\(93\) | −2.26604 | + | 0.824773i | −0.234978 | + | 0.0855249i | ||||
\(94\) | 2.17024 | 0.223844 | ||||||||
\(95\) | −16.6309 | + | 3.05888i | −1.70629 | + | 0.313834i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | 13.5103 | − | 4.91734i | 1.37176 | − | 0.499280i | 0.452090 | − | 0.891972i | \(-0.350679\pi\) |
0.919670 | + | 0.392693i | \(0.128456\pi\) | |||||||
\(98\) | −0.954241 | + | 5.41177i | −0.0963929 | + | 0.546671i | ||||
\(99\) | −1.62449 | + | 1.36310i | −0.163267 | + | 0.136997i | ||||
\(100\) | 7.69846 | + | 6.45978i | 0.769846 | + | 0.645978i | ||||
\(101\) | 0.988856 | + | 5.60808i | 0.0983948 | + | 0.558025i | 0.993654 | + | 0.112479i | \(0.0358792\pi\) |
−0.895259 | + | 0.445546i | \(0.853010\pi\) | |||||||
\(102\) | 2.76604 | + | 4.79093i | 0.273879 | + | 0.474373i | ||||
\(103\) | 0.156574 | − | 0.271194i | 0.0154277 | − | 0.0267216i | −0.858208 | − | 0.513301i | \(-0.828422\pi\) |
0.873636 | + | 0.486580i | \(0.161756\pi\) | |||||||
\(104\) | −0.460637 | − | 0.167658i | −0.0451692 | − | 0.0164402i | ||||
\(105\) | 4.47178 | + | 1.62760i | 0.436401 | + | 0.158837i | ||||
\(106\) | −4.44356 | + | 7.69648i | −0.431597 | + | 0.747548i | ||||
\(107\) | 8.41400 | + | 14.5735i | 0.813412 | + | 1.40887i | 0.910462 | + | 0.413592i | \(0.135726\pi\) |
−0.0970504 | + | 0.995279i | \(0.530941\pi\) | |||||||
\(108\) | 0.173648 | + | 0.984808i | 0.0167093 | + | 0.0947632i | ||||
\(109\) | −7.97565 | − | 6.69237i | −0.763929 | − | 0.641012i | 0.175217 | − | 0.984530i | \(-0.443937\pi\) |
−0.939146 | + | 0.343517i | \(0.888382\pi\) | |||||||
\(110\) | 6.30200 | − | 5.28801i | 0.600872 | − | 0.504192i | ||||
\(111\) | 0.294263 | − | 1.66885i | 0.0279302 | − | 0.158400i | ||||
\(112\) | −1.15270 | + | 0.419550i | −0.108920 | + | 0.0396437i | ||||
\(113\) | −17.3824 | −1.63520 | −0.817598 | − | 0.575789i | \(-0.804695\pi\) | ||||
−0.817598 | + | 0.575789i | \(0.804695\pi\) | |||||||
\(114\) | 3.79086 | + | 2.15160i | 0.355047 | + | 0.201516i | ||||
\(115\) | 34.6955 | 3.23537 | ||||||||
\(116\) | 7.96451 | − | 2.89884i | 0.739486 | − | 0.269151i | ||||
\(117\) | 0.0851223 | − | 0.482753i | 0.00786956 | − | 0.0446305i | ||||
\(118\) | −8.74763 | + | 7.34013i | −0.805284 | + | 0.675714i | ||||
\(119\) | −5.19846 | − | 4.36203i | −0.476542 | − | 0.399866i | ||||
\(120\) | −0.673648 | − | 3.82045i | −0.0614954 | − | 0.348758i | ||||
\(121\) | 3.25150 | + | 5.63176i | 0.295591 | + | 0.511978i | ||||
\(122\) | −0.0209445 | + | 0.0362770i | −0.00189623 | + | 0.00328436i | ||||
\(123\) | −1.50000 | − | 0.545955i | −0.135250 | − | 0.0492271i | ||||
\(124\) | −2.26604 | − | 0.824773i | −0.203497 | − | 0.0740668i | ||||
\(125\) | 9.79473 | − | 16.9650i | 0.876067 | − | 1.51739i | ||||
\(126\) | −0.613341 | − | 1.06234i | −0.0546407 | − | 0.0946405i | ||||
\(127\) | −0.283119 | − | 1.60565i | −0.0251227 | − | 0.142478i | 0.969666 | − | 0.244432i | \(-0.0786016\pi\) |
−0.994789 | + | 0.101954i | \(0.967490\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | −5.08512 | + | 4.26692i | −0.447720 | + | 0.375682i | ||||
\(130\) | −0.330222 | + | 1.87278i | −0.0289624 | + | 0.164254i | ||||
\(131\) | −5.60354 | + | 2.03952i | −0.489584 | + | 0.178194i | −0.575003 | − | 0.818151i | \(-0.694999\pi\) |
0.0854195 | + | 0.996345i | \(0.472777\pi\) | |||||||
\(132\) | −2.12061 | −0.184576 | ||||||||
\(133\) | −5.27244 | − | 0.889704i | −0.457179 | − | 0.0771471i | ||||
\(134\) | 4.47565 | 0.386637 | ||||||||
\(135\) | 3.64543 | − | 1.32683i | 0.313749 | − | 0.114195i | ||||
\(136\) | −0.960637 | + | 5.44804i | −0.0823740 | + | 0.467166i | ||||
\(137\) | −0.0150147 | + | 0.0125989i | −0.00128280 | + | 0.00107639i | −0.643429 | − | 0.765506i | \(-0.722489\pi\) |
0.642146 | + | 0.766582i | \(0.278044\pi\) | |||||||
\(138\) | −6.85117 | − | 5.74881i | −0.583210 | − | 0.489371i | ||||
\(139\) | 0.780592 | + | 4.42696i | 0.0662090 | + | 0.375490i | 0.999851 | + | 0.0172815i | \(0.00550113\pi\) |
−0.933642 | + | 0.358208i | \(0.883388\pi\) | |||||||
\(140\) | 2.37939 | + | 4.12122i | 0.201095 | + | 0.348306i | ||||
\(141\) | −1.08512 | + | 1.87949i | −0.0913838 | + | 0.158281i | ||||
\(142\) | −2.47906 | − | 0.902302i | −0.208038 | − | 0.0757195i | ||||
\(143\) | 0.976834 | + | 0.355538i | 0.0816870 | + | 0.0297316i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | −16.4402 | − | 28.4752i | −1.36528 | − | 2.36474i | ||||
\(146\) | −2.66772 | − | 15.1294i | −0.220782 | − | 1.25212i | ||||
\(147\) | −4.20961 | − | 3.53228i | −0.347203 | − | 0.291338i | ||||
\(148\) | 1.29813 | − | 1.08926i | 0.106706 | − | 0.0895369i | ||||
\(149\) | 2.08899 | − | 11.8473i | 0.171137 | − | 0.970566i | −0.771372 | − | 0.636385i | \(-0.780429\pi\) |
0.942509 | − | 0.334181i | \(-0.108460\pi\) | |||||||
\(150\) | −9.44356 | + | 3.43718i | −0.771064 | + | 0.280644i | ||||
\(151\) | 0.0591253 | 0.00481155 | 0.00240578 | − | 0.999997i | \(-0.499234\pi\) | ||||
0.00240578 | + | 0.999997i | \(0.499234\pi\) | |||||||
\(152\) | 1.52094 | + | 4.08494i | 0.123365 | + | 0.331332i | ||||
\(153\) | −5.53209 | −0.447243 | ||||||||
\(154\) | 2.44444 | − | 0.889704i | 0.196979 | − | 0.0716944i | ||||
\(155\) | −1.62449 | + | 9.21291i | −0.130482 | + | 0.739999i | ||||
\(156\) | 0.375515 | − | 0.315094i | 0.0300652 | − | 0.0252277i | ||||
\(157\) | 9.92649 | + | 8.32931i | 0.792220 | + | 0.664752i | 0.946294 | − | 0.323308i | \(-0.104795\pi\) |
−0.154074 | + | 0.988059i | \(0.549239\pi\) | |||||||
\(158\) | −0.809278 | − | 4.58964i | −0.0643827 | − | 0.365132i | ||||
\(159\) | −4.44356 | − | 7.69648i | −0.352397 | − | 0.610370i | ||||
\(160\) | 1.93969 | − | 3.35965i | 0.153346 | − | 0.265603i | ||||
\(161\) | 10.3093 | + | 3.75227i | 0.812485 | + | 0.295720i | ||||
\(162\) | −0.939693 | − | 0.342020i | −0.0738292 | − | 0.0268716i | ||||
\(163\) | −7.53596 | + | 13.0527i | −0.590262 | + | 1.02236i | 0.403935 | + | 0.914788i | \(0.367642\pi\) |
−0.994197 | + | 0.107576i | \(0.965691\pi\) | |||||||
\(164\) | −0.798133 | − | 1.38241i | −0.0623237 | − | 0.107948i | ||||
\(165\) | 1.42855 | + | 8.10170i | 0.111212 | + | 0.630716i | ||||
\(166\) | 9.56077 | + | 8.02244i | 0.742060 | + | 0.622662i | ||||
\(167\) | −1.48680 | + | 1.24757i | −0.115052 | + | 0.0965399i | −0.698499 | − | 0.715612i | \(-0.746148\pi\) |
0.583447 | + | 0.812151i | \(0.301704\pi\) | |||||||
\(168\) | 0.213011 | − | 1.20805i | 0.0164342 | − | 0.0932027i | ||||
\(169\) | 11.9902 | − | 4.36408i | 0.922323 | − | 0.335698i | ||||
\(170\) | 21.4611 | 1.64599 | ||||||||
\(171\) | −3.75877 | + | 2.20718i | −0.287440 | + | 0.168787i | ||||
\(172\) | −6.63816 | −0.506155 | ||||||||
\(173\) | −15.1027 | + | 5.49692i | −1.14823 | + | 0.417923i | −0.844881 | − | 0.534955i | \(-0.820329\pi\) |
−0.303354 | + | 0.952878i | \(0.598106\pi\) | |||||||
\(174\) | −1.47178 | + | 8.34689i | −0.111575 | + | 0.632776i | ||||
\(175\) | 9.44356 | − | 7.92409i | 0.713866 | − | 0.599005i | ||||
\(176\) | −1.62449 | − | 1.36310i | −0.122450 | − | 0.102748i | ||||
\(177\) | −1.98293 | − | 11.2457i | −0.149046 | − | 0.845281i | ||||
\(178\) | −4.22803 | − | 7.32316i | −0.316904 | − | 0.548894i | ||||
\(179\) | −7.38713 | + | 12.7949i | −0.552140 | + | 0.956334i | 0.445980 | + | 0.895043i | \(0.352855\pi\) |
−0.998120 | + | 0.0612912i | \(0.980478\pi\) | |||||||
\(180\) | 3.64543 | + | 1.32683i | 0.271714 | + | 0.0988959i | ||||
\(181\) | 17.1275 | + | 6.23389i | 1.27308 | + | 0.463362i | 0.888136 | − | 0.459580i | \(-0.152000\pi\) |
0.384939 | + | 0.922942i | \(0.374222\pi\) | |||||||
\(182\) | −0.300660 | + | 0.520758i | −0.0222864 | + | 0.0386011i | ||||
\(183\) | −0.0209445 | − | 0.0362770i | −0.00154826 | − | 0.00268167i | ||||
\(184\) | −1.55303 | − | 8.80769i | −0.114491 | − | 0.649312i | ||||
\(185\) | −5.03596 | − | 4.22567i | −0.370251 | − | 0.310678i | ||||
\(186\) | 1.84730 | − | 1.55007i | 0.135450 | − | 0.113656i | ||||
\(187\) | 2.03714 | − | 11.5532i | 0.148971 | − | 0.844854i | ||||
\(188\) | −2.03936 | + | 0.742267i | −0.148736 | + | 0.0541354i | ||||
\(189\) | 1.22668 | 0.0892280 | ||||||||
\(190\) | 14.5817 | − | 8.56250i | 1.05787 | − | 0.621189i | ||||
\(191\) | 1.29086 | 0.0934033 | 0.0467017 | − | 0.998909i | \(-0.485129\pi\) | ||||
0.0467017 | + | 0.998909i | \(0.485129\pi\) | |||||||
\(192\) | −0.939693 | + | 0.342020i | −0.0678165 | + | 0.0246832i | ||||
\(193\) | −1.58378 | + | 8.98205i | −0.114003 | + | 0.646542i | 0.873236 | + | 0.487297i | \(0.162017\pi\) |
−0.987239 | + | 0.159245i | \(0.949094\pi\) | |||||||
\(194\) | −11.0137 | + | 9.24157i | −0.790735 | + | 0.663506i | ||||
\(195\) | −1.45677 | − | 1.22237i | −0.104321 | − | 0.0875359i | ||||
\(196\) | −0.954241 | − | 5.41177i | −0.0681600 | − | 0.386555i | ||||
\(197\) | −9.31180 | − | 16.1285i | −0.663439 | − | 1.14911i | −0.979706 | − | 0.200439i | \(-0.935763\pi\) |
0.316268 | − | 0.948670i | \(-0.397570\pi\) | |||||||
\(198\) | 1.06031 | − | 1.83651i | 0.0753528 | − | 0.130515i | ||||
\(199\) | −7.92262 | − | 2.88360i | −0.561620 | − | 0.204413i | 0.0455821 | − | 0.998961i | \(-0.485486\pi\) |
−0.607202 | + | 0.794548i | \(0.707708\pi\) | |||||||
\(200\) | −9.44356 | − | 3.43718i | −0.667761 | − | 0.243045i | ||||
\(201\) | −2.23783 | + | 3.87603i | −0.157844 | + | 0.273394i | ||||
\(202\) | −2.84730 | − | 4.93166i | −0.200335 | − | 0.346991i | ||||
\(203\) | −1.80541 | − | 10.2390i | −0.126715 | − | 0.718635i | ||||
\(204\) | −4.23783 | − | 3.55596i | −0.296707 | − | 0.248967i | ||||
\(205\) | −4.74376 | + | 3.98048i | −0.331318 | + | 0.278009i | ||||
\(206\) | −0.0543776 | + | 0.308391i | −0.00378867 | + | 0.0214866i | ||||
\(207\) | 8.40420 | − | 3.05888i | 0.584132 | − | 0.212607i | ||||
\(208\) | 0.490200 | 0.0339892 | ||||||||
\(209\) | −3.22534 | − | 8.66258i | −0.223101 | − | 0.599203i | ||||
\(210\) | −4.75877 | −0.328386 | ||||||||
\(211\) | 1.37939 | − | 0.502055i | 0.0949608 | − | 0.0345629i | −0.294103 | − | 0.955774i | \(-0.595021\pi\) |
0.389064 | + | 0.921211i | \(0.372799\pi\) | |||||||
\(212\) | 1.54323 | − | 8.75211i | 0.105990 | − | 0.601097i | ||||
\(213\) | 2.02094 | − | 1.69577i | 0.138473 | − | 0.116193i | ||||
\(214\) | −12.8910 | − | 10.8168i | −0.881210 | − | 0.739423i | ||||
\(215\) | 4.47178 | + | 25.3607i | 0.304973 | + | 1.72959i | ||||
\(216\) | −0.500000 | − | 0.866025i | −0.0340207 | − | 0.0589256i | ||||
\(217\) | −1.47906 | + | 2.56180i | −0.100405 | + | 0.173906i | ||||
\(218\) | 9.78359 | + | 3.56093i | 0.662628 | + | 0.241177i | ||||
\(219\) | 14.4363 | + | 5.25438i | 0.975514 | + | 0.355058i | ||||
\(220\) | −4.11334 | + | 7.12452i | −0.277321 | + | 0.480335i | ||||
\(221\) | 1.35591 | + | 2.34851i | 0.0912087 | + | 0.157978i | ||||
\(222\) | 0.294263 | + | 1.66885i | 0.0197496 | + | 0.112006i | ||||
\(223\) | 20.1229 | + | 16.8851i | 1.34753 | + | 1.13071i | 0.979622 | + | 0.200848i | \(0.0643697\pi\) |
0.367906 | + | 0.929863i | \(0.380075\pi\) | |||||||
\(224\) | 0.939693 | − | 0.788496i | 0.0627859 | − | 0.0526836i | ||||
\(225\) | 1.74510 | − | 9.89695i | 0.116340 | − | 0.659797i | ||||
\(226\) | 16.3341 | − | 5.94512i | 1.08653 | − | 0.395464i | ||||
\(227\) | 18.3678 | 1.21912 | 0.609558 | − | 0.792742i | \(-0.291347\pi\) | ||||
0.609558 | + | 0.792742i | \(0.291347\pi\) | |||||||
\(228\) | −4.29813 | − | 0.725293i | −0.284651 | − | 0.0480337i | ||||
\(229\) | 3.87164 | 0.255845 | 0.127923 | − | 0.991784i | \(-0.459169\pi\) | ||||
0.127923 | + | 0.991784i | \(0.459169\pi\) | |||||||
\(230\) | −32.6031 | + | 11.8666i | −2.14979 | + | 0.782458i | ||||
\(231\) | −0.451714 | + | 2.56180i | −0.0297206 | + | 0.168554i | ||||
\(232\) | −6.49273 | + | 5.44804i | −0.426268 | + | 0.357682i | ||||
\(233\) | 12.5988 | + | 10.5716i | 0.825374 | + | 0.692571i | 0.954224 | − | 0.299093i | \(-0.0966840\pi\) |
−0.128850 | + | 0.991664i | \(0.541128\pi\) | |||||||
\(234\) | 0.0851223 | + | 0.482753i | 0.00556462 | + | 0.0315585i | ||||
\(235\) | 4.20961 | + | 7.29125i | 0.274605 | + | 0.475629i | ||||
\(236\) | 5.70961 | − | 9.88933i | 0.371664 | − | 0.643741i | ||||
\(237\) | 4.37939 | + | 1.59397i | 0.284472 | + | 0.103539i | ||||
\(238\) | 6.37686 | + | 2.32099i | 0.413350 | + | 0.150447i | ||||
\(239\) | −1.65270 | + | 2.86257i | −0.106905 | + | 0.185164i | −0.914515 | − | 0.404553i | \(-0.867427\pi\) |
0.807610 | + | 0.589717i | \(0.200761\pi\) | |||||||
\(240\) | 1.93969 | + | 3.35965i | 0.125207 | + | 0.216864i | ||||
\(241\) | 0.523633 | + | 2.96967i | 0.0337302 | + | 0.191293i | 0.997017 | − | 0.0771806i | \(-0.0245918\pi\) |
−0.963287 | + | 0.268474i | \(0.913481\pi\) | |||||||
\(242\) | −4.98158 | − | 4.18004i | −0.320228 | − | 0.268703i | ||||
\(243\) | 0.766044 | − | 0.642788i | 0.0491418 | − | 0.0412348i | ||||
\(244\) | 0.00727396 | − | 0.0412527i | 0.000465668 | − | 0.00264093i | ||||
\(245\) | −20.0326 | + | 7.29125i | −1.27983 | + | 0.465821i | ||||
\(246\) | 1.59627 | 0.101774 | ||||||||
\(247\) | 1.85828 | + | 1.05471i | 0.118239 | + | 0.0671099i | ||||
\(248\) | 2.41147 | 0.153129 | ||||||||
\(249\) | −11.7280 | + | 4.26865i | −0.743233 | + | 0.270515i | ||||
\(250\) | −3.40167 | + | 19.2919i | −0.215141 | + | 1.22012i | ||||
\(251\) | −2.70780 | + | 2.27211i | −0.170915 | + | 0.143414i | −0.724233 | − | 0.689556i | \(-0.757806\pi\) |
0.553318 | + | 0.832970i | \(0.313361\pi\) | |||||||
\(252\) | 0.939693 | + | 0.788496i | 0.0591951 | + | 0.0496706i | ||||
\(253\) | 3.29339 | + | 18.6777i | 0.207053 | + | 1.17426i | ||||
\(254\) | 0.815207 | + | 1.41198i | 0.0511507 | + | 0.0885956i | ||||
\(255\) | −10.7306 | + | 18.5859i | −0.671973 | + | 1.16389i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 4.41875 | + | 1.60829i | 0.275634 | + | 0.100323i | 0.476139 | − | 0.879370i | \(-0.342036\pi\) |
−0.200505 | + | 0.979693i | \(0.564258\pi\) | |||||||
\(258\) | 3.31908 | − | 5.74881i | 0.206637 | − | 0.357905i | ||||
\(259\) | −1.03936 | − | 1.80023i | −0.0645829 | − | 0.111861i | ||||
\(260\) | −0.330222 | − | 1.87278i | −0.0204795 | − | 0.116145i | ||||
\(261\) | −6.49273 | − | 5.44804i | −0.401890 | − | 0.337225i | ||||
\(262\) | 4.56805 | − | 3.83305i | 0.282215 | − | 0.236806i | ||||
\(263\) | 3.65745 | − | 20.7424i | 0.225528 | − | 1.27903i | −0.636145 | − | 0.771570i | \(-0.719472\pi\) |
0.861673 | − | 0.507464i | \(-0.169417\pi\) | |||||||
\(264\) | 1.99273 | − | 0.725293i | 0.122644 | − | 0.0446387i | ||||
\(265\) | −34.4766 | −2.11788 | ||||||||
\(266\) | 5.25877 | − | 0.967233i | 0.322436 | − | 0.0593049i | ||||
\(267\) | 8.45605 | 0.517502 | ||||||||
\(268\) | −4.20574 | + | 1.53076i | −0.256906 | + | 0.0935062i | ||||
\(269\) | 1.75015 | − | 9.92561i | 0.106709 | − | 0.605175i | −0.883815 | − | 0.467836i | \(-0.845034\pi\) |
0.990524 | − | 0.137339i | \(-0.0438550\pi\) | |||||||
\(270\) | −2.97178 | + | 2.49362i | −0.180857 | + | 0.151757i | ||||
\(271\) | −7.47952 | − | 6.27606i | −0.454349 | − | 0.381244i | 0.386698 | − | 0.922206i | \(-0.373616\pi\) |
−0.841047 | + | 0.540963i | \(0.818060\pi\) | |||||||
\(272\) | −0.960637 | − | 5.44804i | −0.0582472 | − | 0.330336i | ||||
\(273\) | −0.300660 | − | 0.520758i | −0.0181967 | − | 0.0315177i | ||||
\(274\) | 0.00980018 | − | 0.0169744i | 0.000592051 | − | 0.00102546i | ||||
\(275\) | 20.0262 | + | 7.28893i | 1.20762 | + | 0.439539i | ||||
\(276\) | 8.40420 | + | 3.05888i | 0.505873 | + | 0.184123i | ||||
\(277\) | −8.42855 | + | 14.5987i | −0.506422 | + | 0.877149i | 0.493550 | + | 0.869717i | \(0.335699\pi\) |
−0.999972 | + | 0.00743188i | \(0.997634\pi\) | |||||||
\(278\) | −2.24763 | − | 3.89300i | −0.134804 | − | 0.233487i | ||||
\(279\) | 0.418748 | + | 2.37484i | 0.0250698 | + | 0.142178i | ||||
\(280\) | −3.64543 | − | 3.05888i | −0.217856 | − | 0.182803i | ||||
\(281\) | −8.98158 | + | 7.53644i | −0.535796 | + | 0.449586i | −0.870097 | − | 0.492880i | \(-0.835944\pi\) |
0.334301 | + | 0.942466i | \(0.391500\pi\) | |||||||
\(282\) | 0.376859 | − | 2.13727i | 0.0224416 | − | 0.127273i | ||||
\(283\) | 20.2456 | − | 7.36878i | 1.20347 | − | 0.438029i | 0.339039 | − | 0.940772i | \(-0.389898\pi\) |
0.864435 | + | 0.502744i | \(0.167676\pi\) | |||||||
\(284\) | 2.63816 | 0.156546 | ||||||||
\(285\) | 0.124485 | + | 16.9094i | 0.00737386 | + | 1.00163i | ||||
\(286\) | −1.03952 | −0.0614684 | ||||||||
\(287\) | −1.84002 | + | 0.669713i | −0.108613 | + | 0.0395319i | ||||
\(288\) | 0.173648 | − | 0.984808i | 0.0102323 | − | 0.0580304i | ||||
\(289\) | 10.4213 | − | 8.74449i | 0.613016 | − | 0.514382i | ||||
\(290\) | 25.1878 | + | 21.1351i | 1.47908 | + | 1.24109i | ||||
\(291\) | −2.49660 | − | 14.1589i | −0.146353 | − | 0.830010i | ||||
\(292\) | 7.68139 | + | 13.3046i | 0.449519 | + | 0.778590i | ||||
\(293\) | 5.56031 | − | 9.63073i | 0.324837 | − | 0.562634i | −0.656643 | − | 0.754202i | \(-0.728024\pi\) |
0.981479 | + | 0.191568i | \(0.0613573\pi\) | |||||||
\(294\) | 5.16385 | + | 1.87949i | 0.301162 | + | 0.109614i | ||||
\(295\) | −41.6279 | − | 15.1513i | −2.42367 | − | 0.882145i | ||||
\(296\) | −0.847296 | + | 1.46756i | −0.0492481 | + | 0.0853002i | ||||
\(297\) | 1.06031 | + | 1.83651i | 0.0615253 | + | 0.106565i | ||||
\(298\) | 2.08899 | + | 11.8473i | 0.121012 | + | 0.686294i | ||||
\(299\) | −3.35844 | − | 2.81807i | −0.194224 | − | 0.162973i | ||||
\(300\) | 7.69846 | − | 6.45978i | 0.444471 | − | 0.372955i | ||||
\(301\) | −1.41400 | + | 8.01919i | −0.0815016 | + | 0.462219i | ||||
\(302\) | −0.0555596 | + | 0.0202221i | −0.00319710 | + | 0.00116365i | ||||
\(303\) | 5.69459 | 0.327146 | ||||||||
\(304\) | −2.82635 | − | 3.31839i | −0.162102 | − | 0.190323i | ||||
\(305\) | −0.162504 | −0.00930494 | ||||||||
\(306\) | 5.19846 | − | 1.89209i | 0.297176 | − | 0.108163i | ||||
\(307\) | 4.34817 | − | 24.6597i | 0.248163 | − | 1.40740i | −0.564866 | − | 0.825182i | \(-0.691072\pi\) |
0.813030 | − | 0.582222i | \(-0.197817\pi\) | |||||||
\(308\) | −1.99273 | + | 1.67210i | −0.113546 | + | 0.0952765i | ||||
\(309\) | −0.239885 | − | 0.201288i | −0.0136466 | − | 0.0114509i | ||||
\(310\) | −1.62449 | − | 9.21291i | −0.0922646 | − | 0.523258i | ||||
\(311\) | −0.0282185 | − | 0.0488759i | −0.00160012 | − | 0.00277150i | 0.865224 | − | 0.501385i | \(-0.167176\pi\) |
−0.866824 | + | 0.498614i | \(0.833843\pi\) | |||||||
\(312\) | −0.245100 | + | 0.424525i | −0.0138760 | + | 0.0240340i | ||||
\(313\) | −12.9338 | − | 4.70750i | −0.731059 | − | 0.266084i | −0.0504462 | − | 0.998727i | \(-0.516064\pi\) |
−0.680613 | + | 0.732643i | \(0.738287\pi\) | |||||||
\(314\) | −12.1766 | − | 4.43193i | −0.687168 | − | 0.250109i | ||||
\(315\) | 2.37939 | − | 4.12122i | 0.134063 | − | 0.232204i | ||||
\(316\) | 2.33022 | + | 4.03606i | 0.131085 | + | 0.227046i | ||||
\(317\) | 1.89347 | + | 10.7384i | 0.106348 | + | 0.603128i | 0.990673 | + | 0.136257i | \(0.0435074\pi\) |
−0.884326 | + | 0.466870i | \(0.845381\pi\) | |||||||
\(318\) | 6.80793 | + | 5.71253i | 0.381770 | + | 0.320343i | ||||
\(319\) | 13.7686 | − | 11.5532i | 0.770892 | − | 0.646855i | ||||
\(320\) | −0.673648 | + | 3.82045i | −0.0376581 | + | 0.213570i | ||||
\(321\) | 15.8131 | − | 5.75552i | 0.882604 | − | 0.321242i | ||||
\(322\) | −10.9709 | −0.611385 | ||||||||
\(323\) | 8.08037 | − | 22.7197i | 0.449604 | − | 1.26416i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | −4.62923 | + | 1.68490i | −0.256784 | + | 0.0934616i | ||||
\(326\) | 2.61721 | − | 14.8429i | 0.144954 | − | 0.822075i | ||||
\(327\) | −7.97565 | + | 6.69237i | −0.441055 | + | 0.370089i | ||||
\(328\) | 1.22281 | + | 1.02606i | 0.0675185 | + | 0.0566547i | ||||
\(329\) | 0.462286 | + | 2.62175i | 0.0254867 | + | 0.144542i | ||||
\(330\) | −4.11334 | − | 7.12452i | −0.226432 | − | 0.392192i | ||||
\(331\) | −4.29561 | + | 7.44021i | −0.236108 | + | 0.408951i | −0.959594 | − | 0.281388i | \(-0.909205\pi\) |
0.723486 | + | 0.690339i | \(0.242539\pi\) | |||||||
\(332\) | −11.7280 | − | 4.26865i | −0.643659 | − | 0.234273i | ||||
\(333\) | −1.59240 | − | 0.579585i | −0.0872628 | − | 0.0317611i | ||||
\(334\) | 0.970437 | − | 1.68085i | 0.0531000 | − | 0.0919718i | ||||
\(335\) | 8.68139 | + | 15.0366i | 0.474315 | + | 0.821538i | ||||
\(336\) | 0.213011 | + | 1.20805i | 0.0116207 | + | 0.0659043i | ||||
\(337\) | −1.76991 | − | 1.48513i | −0.0964134 | − | 0.0809005i | 0.593307 | − | 0.804976i | \(-0.297822\pi\) |
−0.689720 | + | 0.724076i | \(0.742267\pi\) | |||||||
\(338\) | −9.77450 | + | 8.20178i | −0.531663 | + | 0.446118i | ||||
\(339\) | −3.01842 | + | 17.1183i | −0.163938 | + | 0.929738i | ||||
\(340\) | −20.1668 | + | 7.34013i | −1.09370 | + | 0.398074i | ||||
\(341\) | −5.11381 | −0.276928 | ||||||||
\(342\) | 2.77719 | − | 3.35965i | 0.150173 | − | 0.181669i | ||||
\(343\) | −15.3277 | −0.827618 | ||||||||
\(344\) | 6.23783 | − | 2.27038i | 0.336321 | − | 0.122411i | ||||
\(345\) | 6.02481 | − | 34.1684i | 0.324365 | − | 1.83957i | ||||
\(346\) | 12.3118 | − | 10.3308i | 0.661887 | − | 0.555389i | ||||
\(347\) | −2.51707 | − | 2.11208i | −0.135124 | − | 0.113382i | 0.572721 | − | 0.819750i | \(-0.305888\pi\) |
−0.707845 | + | 0.706368i | \(0.750332\pi\) | |||||||
\(348\) | −1.47178 | − | 8.34689i | −0.0788958 | − | 0.447440i | ||||
\(349\) | −14.6741 | − | 25.4163i | −0.785487 | − | 1.36050i | −0.928707 | − | 0.370813i | \(-0.879079\pi\) |
0.143220 | − | 0.989691i | \(-0.454254\pi\) | |||||||
\(350\) | −6.16385 | + | 10.6761i | −0.329472 | + | 0.570661i | ||||
\(351\) | −0.460637 | − | 0.167658i | −0.0245870 | − | 0.00894893i | ||||
\(352\) | 1.99273 | + | 0.725293i | 0.106213 | + | 0.0386582i | ||||
\(353\) | 3.86959 | − | 6.70232i | 0.205957 | − | 0.356728i | −0.744480 | − | 0.667645i | \(-0.767303\pi\) |
0.950437 | + | 0.310916i | \(0.100636\pi\) | |||||||
\(354\) | 5.70961 | + | 9.88933i | 0.303462 | + | 0.525612i | ||||
\(355\) | −1.77719 | − | 10.0789i | −0.0943234 | − | 0.534935i | ||||
\(356\) | 6.47771 | + | 5.43545i | 0.343318 | + | 0.288078i | ||||
\(357\) | −5.19846 | + | 4.36203i | −0.275132 | + | 0.230863i | ||||
\(358\) | 2.56552 | − | 14.5498i | 0.135592 | − | 0.768981i | ||||
\(359\) | −2.69459 | + | 0.980752i | −0.142215 | + | 0.0517621i | −0.412147 | − | 0.911117i | \(-0.635221\pi\) |
0.269932 | + | 0.962879i | \(0.412999\pi\) | |||||||
\(360\) | −3.87939 | −0.204462 | ||||||||
\(361\) | −3.57444 | − | 18.6607i | −0.188129 | − | 0.982144i | ||||
\(362\) | −18.2267 | −0.957973 | ||||||||
\(363\) | 6.11081 | − | 2.22415i | 0.320735 | − | 0.116738i | ||||
\(364\) | 0.104418 | − | 0.592184i | 0.00547299 | − | 0.0310389i | ||||
\(365\) | 45.6548 | − | 38.3089i | 2.38968 | − | 2.00518i | ||||
\(366\) | 0.0320889 | + | 0.0269258i | 0.00167731 | + | 0.00140743i | ||||
\(367\) | −3.98798 | − | 22.6169i | −0.208171 | − | 1.18060i | −0.892372 | − | 0.451301i | \(-0.850960\pi\) |
0.684201 | − | 0.729294i | \(-0.260151\pi\) | |||||||
\(368\) | 4.47178 | + | 7.74535i | 0.233108 | + | 0.403754i | ||||
\(369\) | −0.798133 | + | 1.38241i | −0.0415492 | + | 0.0719653i | ||||
\(370\) | 6.17752 | + | 2.24843i | 0.321154 | + | 0.116890i | ||||
\(371\) | −10.2442 | − | 3.72859i | −0.531854 | − | 0.193579i | ||||
\(372\) | −1.20574 | + | 2.08840i | −0.0625146 | + | 0.108278i | ||||
\(373\) | 11.5954 | + | 20.0838i | 0.600387 | + | 1.03990i | 0.992762 | + | 0.120095i | \(0.0383199\pi\) |
−0.392376 | + | 0.919805i | \(0.628347\pi\) | |||||||
\(374\) | 2.03714 | + | 11.5532i | 0.105338 | + | 0.597402i | ||||
\(375\) | −15.0064 | − | 12.5919i | −0.774927 | − | 0.650241i | ||||
\(376\) | 1.66250 | − | 1.39501i | 0.0857371 | − | 0.0719420i | ||||
\(377\) | −0.721467 | + | 4.09164i | −0.0371574 | + | 0.210730i | ||||
\(378\) | −1.15270 | + | 0.419550i | −0.0592887 | + | 0.0215793i | ||||
\(379\) | −33.5185 | −1.72173 | −0.860864 | − | 0.508835i | \(-0.830076\pi\) | ||||
−0.860864 | + | 0.508835i | \(0.830076\pi\) | |||||||
\(380\) | −10.7738 | + | 13.0334i | −0.552684 | + | 0.668597i | ||||
\(381\) | −1.63041 | −0.0835287 | ||||||||
\(382\) | −1.21301 | + | 0.441500i | −0.0620630 | + | 0.0225891i | ||||
\(383\) | 1.16860 | − | 6.62744i | 0.0597125 | − | 0.338646i | −0.940286 | − | 0.340385i | \(-0.889442\pi\) |
0.999998 | + | 0.00173918i | \(0.000553599\pi\) | |||||||
\(384\) | 0.766044 | − | 0.642788i | 0.0390920 | − | 0.0328021i | ||||
\(385\) | 7.73055 | + | 6.48670i | 0.393985 | + | 0.330593i | ||||
\(386\) | −1.58378 | − | 8.98205i | −0.0806122 | − | 0.457174i | ||||
\(387\) | 3.31908 | + | 5.74881i | 0.168718 | + | 0.292229i | ||||
\(388\) | 7.18866 | − | 12.4511i | 0.364949 | − | 0.632110i | ||||
\(389\) | 17.8751 | + | 6.50601i | 0.906304 | + | 0.329868i | 0.752776 | − | 0.658277i | \(-0.228714\pi\) |
0.153528 | + | 0.988144i | \(0.450937\pi\) | |||||||
\(390\) | 1.78699 | + | 0.650411i | 0.0904877 | + | 0.0329348i | ||||
\(391\) | −24.7383 | + | 42.8480i | −1.25107 | + | 2.16692i | ||||
\(392\) | 2.74763 | + | 4.75903i | 0.138776 | + | 0.240367i | ||||
\(393\) | 1.03549 | + | 5.87257i | 0.0522337 | + | 0.296232i | ||||
\(394\) | 14.2665 | + | 11.9710i | 0.718736 | + | 0.603091i | ||||
\(395\) | 13.8498 | − | 11.6214i | 0.696860 | − | 0.584735i | ||||
\(396\) | −0.368241 | + | 2.08840i | −0.0185048 | + | 0.104946i | ||||
\(397\) | 25.2913 | − | 9.20529i | 1.26934 | − | 0.462000i | 0.382444 | − | 0.923979i | \(-0.375082\pi\) |
0.886891 | + | 0.461978i | \(0.152860\pi\) | |||||||
\(398\) | 8.43107 | 0.422612 | ||||||||
\(399\) | −1.79174 | + | 5.03785i | −0.0896990 | + | 0.252208i | ||||
\(400\) | 10.0496 | 0.502481 | ||||||||
\(401\) | 5.35756 | − | 1.94999i | 0.267544 | − | 0.0973780i | −0.204765 | − | 0.978811i | \(-0.565643\pi\) |
0.472309 | + | 0.881433i | \(0.343421\pi\) | |||||||
\(402\) | 0.777189 | − | 4.40766i | 0.0387627 | − | 0.219834i | ||||
\(403\) | 0.905544 | − | 0.759842i | 0.0451084 | − | 0.0378504i | ||||
\(404\) | 4.36231 | + | 3.66041i | 0.217033 | + | 0.182112i | ||||
\(405\) | −0.673648 | − | 3.82045i | −0.0334738 | − | 0.189840i | ||||
\(406\) | 5.19846 | + | 9.00400i | 0.257995 | + | 0.446861i | ||||
\(407\) | 1.79679 | − | 3.11213i | 0.0890635 | − | 0.154263i | ||||
\(408\) | 5.19846 | + | 1.89209i | 0.257362 | + | 0.0936722i | ||||
\(409\) | 0.758770 | + | 0.276170i | 0.0375188 | + | 0.0136557i | 0.360711 | − | 0.932677i | \(-0.382534\pi\) |
−0.323193 | + | 0.946333i | \(0.604756\pi\) | |||||||
\(410\) | 3.09627 | − | 5.36289i | 0.152914 | − | 0.264854i | ||||
\(411\) | 0.00980018 | + | 0.0169744i | 0.000483407 | + | 0.000837286i | ||||
\(412\) | −0.0543776 | − | 0.308391i | −0.00267899 | − | 0.0151933i | ||||
\(413\) | −10.7306 | − | 9.00400i | −0.528016 | − | 0.443058i | ||||
\(414\) | −6.85117 | + | 5.74881i | −0.336716 | + | 0.282539i | ||||
\(415\) | −8.40760 | + | 47.6819i | −0.412713 | + | 2.34061i | ||||
\(416\) | −0.460637 | + | 0.167658i | −0.0225846 | + | 0.00822012i | ||||
\(417\) | 4.49525 | 0.220133 | ||||||||
\(418\) | 5.99360 | + | 7.03703i | 0.293157 | + | 0.344193i | ||||
\(419\) | −19.1215 | −0.934149 | −0.467074 | − | 0.884218i | \(-0.654692\pi\) | ||||
−0.467074 | + | 0.884218i | \(0.654692\pi\) | |||||||
\(420\) | 4.47178 | − | 1.62760i | 0.218201 | − | 0.0794185i | ||||
\(421\) | −4.86618 | + | 27.5975i | −0.237163 | + | 1.34502i | 0.600847 | + | 0.799364i | \(0.294830\pi\) |
−0.838010 | + | 0.545655i | \(0.816281\pi\) | |||||||
\(422\) | −1.12449 | + | 0.943555i | −0.0547391 | + | 0.0459315i | ||||
\(423\) | 1.66250 | + | 1.39501i | 0.0808337 | + | 0.0678275i | ||||
\(424\) | 1.54323 | + | 8.75211i | 0.0749460 | + | 0.425040i | ||||
\(425\) | 27.7977 | + | 48.1471i | 1.34839 | + | 2.33548i | ||||
\(426\) | −1.31908 | + | 2.28471i | −0.0639095 | + | 0.110695i | ||||
\(427\) | −0.0482857 | − | 0.0175745i | −0.00233671 | − | 0.000850492i | ||||
\(428\) | 15.8131 | + | 5.75552i | 0.764357 | + | 0.278203i | ||||
\(429\) | 0.519762 | − | 0.900255i | 0.0250944 | − | 0.0434647i | ||||
\(430\) | −12.8760 | − | 22.3019i | −0.620935 | − | 1.07549i | ||||
\(431\) | −1.56923 | − | 8.89955i | −0.0755872 | − | 0.428676i | −0.998994 | − | 0.0448525i | \(-0.985718\pi\) |
0.923406 | − | 0.383824i | \(-0.125393\pi\) | |||||||
\(432\) | 0.766044 | + | 0.642788i | 0.0368563 | + | 0.0309261i | ||||
\(433\) | 1.12061 | − | 0.940307i | 0.0538533 | − | 0.0451883i | −0.615464 | − | 0.788165i | \(-0.711031\pi\) |
0.669317 | + | 0.742977i | \(0.266587\pi\) | |||||||
\(434\) | 0.513671 | − | 2.91317i | 0.0246570 | − | 0.139837i | ||||
\(435\) | −30.8974 | + | 11.2457i | −1.48142 | + | 0.539192i | ||||
\(436\) | −10.4115 | −0.498619 | ||||||||
\(437\) | 0.286989 | + | 38.9830i | 0.0137285 | + | 1.86481i | ||||
\(438\) | −15.3628 | −0.734062 | ||||||||
\(439\) | 5.08987 | − | 1.85256i | 0.242926 | − | 0.0884179i | −0.217688 | − | 0.976018i | \(-0.569851\pi\) |
0.460614 | + | 0.887601i | \(0.347629\pi\) | |||||||
\(440\) | 1.42855 | − | 8.10170i | 0.0681034 | − | 0.386233i | ||||
\(441\) | −4.20961 | + | 3.53228i | −0.200457 | + | 0.168204i | ||||
\(442\) | −2.07738 | − | 1.74313i | −0.0988110 | − | 0.0829122i | ||||
\(443\) | −4.94310 | − | 28.0337i | −0.234854 | − | 1.33192i | −0.842922 | − | 0.538036i | \(-0.819166\pi\) |
0.608068 | − | 0.793885i | \(-0.291945\pi\) | |||||||
\(444\) | −0.847296 | − | 1.46756i | −0.0402109 | − | 0.0696473i | ||||
\(445\) | 16.4021 | − | 28.4093i | 0.777536 | − | 1.34673i | ||||
\(446\) | −24.6844 | − | 8.98438i | −1.16884 | − | 0.425423i | ||||
\(447\) | −11.3045 | − | 4.11451i | −0.534686 | − | 0.194610i | ||||
\(448\) | −0.613341 | + | 1.06234i | −0.0289776 | + | 0.0501907i | ||||
\(449\) | 11.3824 | + | 19.7149i | 0.537168 | + | 0.930402i | 0.999055 | + | 0.0434631i | \(0.0138391\pi\) |
−0.461887 | + | 0.886939i | \(0.652828\pi\) | |||||||
\(450\) | 1.74510 | + | 9.89695i | 0.0822648 | + | 0.466547i | ||||
\(451\) | −2.59311 | − | 2.17588i | −0.122105 | − | 0.102458i | ||||
\(452\) | −13.3157 | + | 11.1732i | −0.626317 | + | 0.525542i | ||||
\(453\) | 0.0102670 | − | 0.0582271i | 0.000482386 | − | 0.00273575i | ||||
\(454\) | −17.2601 | + | 6.28217i | −0.810057 | + | 0.294837i | ||||
\(455\) | −2.33275 | −0.109361 | ||||||||
\(456\) | 4.28699 | − | 0.788496i | 0.200757 | − | 0.0369247i | ||||
\(457\) | −1.13011 | −0.0528643 | −0.0264322 | − | 0.999651i | \(-0.508415\pi\) | ||||
−0.0264322 | + | 0.999651i | \(0.508415\pi\) | |||||||
\(458\) | −3.63816 | + | 1.32418i | −0.170000 | + | 0.0618749i | ||||
\(459\) | −0.960637 | + | 5.44804i | −0.0448387 | + | 0.254293i | ||||
\(460\) | 26.5783 | − | 22.3019i | 1.23922 | − | 1.03983i | ||||
\(461\) | −9.94562 | − | 8.34537i | −0.463214 | − | 0.388683i | 0.381098 | − | 0.924535i | \(-0.375546\pi\) |
−0.844312 | + | 0.535852i | \(0.819990\pi\) | |||||||
\(462\) | −0.451714 | − | 2.56180i | −0.0210157 | − | 0.119186i | ||||
\(463\) | 15.3123 | + | 26.5216i | 0.711622 | + | 1.23256i | 0.964248 | + | 0.265001i | \(0.0853722\pi\) |
−0.252627 | + | 0.967564i | \(0.581294\pi\) | |||||||
\(464\) | 4.23783 | − | 7.34013i | 0.196736 | − | 0.340757i | ||||
\(465\) | 8.79086 | + | 3.19961i | 0.407666 | + | 0.148378i | ||||
\(466\) | −15.4547 | − | 5.62505i | −0.715925 | − | 0.260576i | ||||
\(467\) | −5.52869 | + | 9.57596i | −0.255837 | + | 0.443123i | −0.965123 | − | 0.261799i | \(-0.915684\pi\) |
0.709285 | + | 0.704921i | \(0.249018\pi\) | |||||||
\(468\) | −0.245100 | − | 0.424525i | −0.0113297 | − | 0.0196237i | ||||
\(469\) | 0.953363 | + | 5.40679i | 0.0440222 | + | 0.249662i | ||||
\(470\) | −6.44949 | − | 5.41177i | −0.297493 | − | 0.249626i | ||||
\(471\) | 9.92649 | − | 8.32931i | 0.457388 | − | 0.383794i | ||||
\(472\) | −1.98293 | + | 11.2457i | −0.0912716 | + | 0.517627i | ||||
\(473\) | −13.2280 | + | 4.81461i | −0.608225 | + | 0.221376i | ||||
\(474\) | −4.66044 | −0.214061 | ||||||||
\(475\) | 38.0967 | + | 21.6228i | 1.74800 | + | 0.992122i | ||||
\(476\) | −6.78611 | −0.311041 | ||||||||
\(477\) | −8.35117 | + | 3.03958i | −0.382374 | + | 0.139173i | ||||
\(478\) | 0.573978 | − | 3.25519i | 0.0262531 | − | 0.148889i | ||||
\(479\) | −13.5116 | + | 11.3376i | −0.617361 | + | 0.518028i | −0.896973 | − | 0.442086i | \(-0.854239\pi\) |
0.279612 | + | 0.960113i | \(0.409794\pi\) | |||||||
\(480\) | −2.97178 | − | 2.49362i | −0.135643 | − | 0.113818i | ||||
\(481\) | 0.144248 | + | 0.818069i | 0.00657713 | + | 0.0373007i | ||||
\(482\) | −1.50774 | − | 2.61148i | −0.0686757 | − | 0.118950i | ||||
\(483\) | 5.48545 | − | 9.50108i | 0.249597 | − | 0.432314i | ||||
\(484\) | 6.11081 | + | 2.22415i | 0.277764 | + | 0.101098i | ||||
\(485\) | −52.4115 | − | 19.0762i | −2.37989 | − | 0.866207i | ||||
\(486\) | −0.500000 | + | 0.866025i | −0.0226805 | + | 0.0392837i | ||||
\(487\) | 7.64677 | + | 13.2446i | 0.346508 | + | 0.600170i | 0.985627 | − | 0.168938i | \(-0.0540339\pi\) |
−0.639118 | + | 0.769109i | \(0.720701\pi\) | |||||||
\(488\) | 0.00727396 | + | 0.0412527i | 0.000329277 | + | 0.00186742i | ||||
\(489\) | 11.5458 | + | 9.68804i | 0.522117 | + | 0.438108i | ||||
\(490\) | 16.3307 | − | 13.7031i | 0.737745 | − | 0.619042i | ||||
\(491\) | −0.308811 | + | 1.75135i | −0.0139364 | + | 0.0790375i | −0.990983 | − | 0.133990i | \(-0.957221\pi\) |
0.977046 | + | 0.213027i | \(0.0683322\pi\) | |||||||
\(492\) | −1.50000 | + | 0.545955i | −0.0676252 | + | 0.0246136i | ||||
\(493\) | 46.8881 | 2.11173 | ||||||||
\(494\) | −2.10694 | − | 0.355538i | −0.0947959 | − | 0.0159964i | ||||
\(495\) | 8.22668 | 0.369762 | ||||||||
\(496\) | −2.26604 | + | 0.824773i | −0.101748 | + | 0.0370334i | ||||
\(497\) | 0.561956 | − | 3.18701i | 0.0252072 | − | 0.142957i | ||||
\(498\) | 9.56077 | − | 8.02244i | 0.428429 | − | 0.359494i | ||||
\(499\) | −0.0825961 | − | 0.0693063i | −0.00369751 | − | 0.00310258i | 0.640937 | − | 0.767594i | \(-0.278546\pi\) |
−0.644634 | + | 0.764491i | \(0.722990\pi\) | |||||||
\(500\) | −3.40167 | − | 19.2919i | −0.152127 | − | 0.862758i | ||||
\(501\) | 0.970437 | + | 1.68085i | 0.0433559 | + | 0.0750947i | ||||
\(502\) | 1.76739 | − | 3.06121i | 0.0788824 | − | 0.136628i | ||||
\(503\) | 22.2615 | + | 8.10251i | 0.992589 | + | 0.361273i | 0.786722 | − | 0.617307i | \(-0.211776\pi\) |
0.205867 | + | 0.978580i | \(0.433999\pi\) | |||||||
\(504\) | −1.15270 | − | 0.419550i | −0.0513455 | − | 0.0186882i | ||||
\(505\) | 11.0458 | − | 19.1318i | 0.491530 | − | 0.851355i | ||||
\(506\) | −9.48293 | − | 16.4249i | −0.421567 | − | 0.730176i | ||||
\(507\) | −2.21570 | − | 12.5659i | −0.0984027 | − | 0.558069i | ||||
\(508\) | −1.24897 | − | 1.04801i | −0.0554141 | − | 0.0464979i | ||||
\(509\) | −2.73783 | + | 2.29731i | −0.121352 | + | 0.101826i | −0.701444 | − | 0.712724i | \(-0.747461\pi\) |
0.580092 | + | 0.814551i | \(0.303017\pi\) | |||||||
\(510\) | 3.72668 | − | 21.1351i | 0.165020 | − | 0.935876i | ||||
\(511\) | 17.7087 | − | 6.44545i | 0.783388 | − | 0.285130i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 1.52094 | + | 4.08494i | 0.0671513 | + | 0.180354i | ||||
\(514\) | −4.70233 | −0.207411 | ||||||||
\(515\) | −1.14156 | + | 0.415494i | −0.0503031 | + | 0.0183088i | ||||
\(516\) | −1.15270 | + | 6.53731i | −0.0507449 | + | 0.287789i | ||||
\(517\) | −3.52553 | + | 2.95827i | −0.155053 | + | 0.130105i | ||||
\(518\) | 1.59240 | + | 1.33618i | 0.0699659 | + | 0.0587083i | ||||
\(519\) | 2.79086 | + | 15.8278i | 0.122505 | + | 0.694761i | ||||
\(520\) | 0.950837 | + | 1.64690i | 0.0416970 | + | 0.0722213i | ||||
\(521\) | −17.0608 | + | 29.5501i | −0.747446 | + | 1.29461i | 0.201597 | + | 0.979469i | \(0.435387\pi\) |
−0.949043 | + | 0.315146i | \(0.897946\pi\) | |||||||
\(522\) | 7.96451 | + | 2.89884i | 0.348597 | + | 0.126879i | ||||
\(523\) | −16.0376 | − | 5.83721i | −0.701276 | − | 0.255243i | −0.0333202 | − | 0.999445i | \(-0.510608\pi\) |
−0.667955 | + | 0.744201i | \(0.732830\pi\) | |||||||
\(524\) | −2.98158 | + | 5.16425i | −0.130251 | + | 0.225601i | ||||
\(525\) | −6.16385 | − | 10.6761i | −0.269012 | − | 0.465943i | ||||
\(526\) | 3.65745 | + | 20.7424i | 0.159472 | + | 0.904413i | ||||
\(527\) | −10.2194 | − | 8.57510i | −0.445164 | − | 0.373537i | ||||
\(528\) | −1.62449 | + | 1.36310i | −0.0706966 | + | 0.0593215i | ||||
\(529\) | 9.89574 | − | 56.1216i | 0.430250 | − | 2.44007i | ||||
\(530\) | 32.3974 | − | 11.7917i | 1.40725 | − | 0.512198i | ||||
\(531\) | −11.4192 | −0.495552 | ||||||||
\(532\) | −4.61081 | + | 2.70751i | −0.199904 | + | 0.117385i | ||||
\(533\) | 0.782490 | 0.0338934 | ||||||||
\(534\) | −7.94609 | + | 2.89214i | −0.343861 | + | 0.125155i | ||||
\(535\) | 11.3362 | − | 64.2905i | 0.490105 | − | 2.77952i | ||||
\(536\) | 3.42855 | − | 2.87689i | 0.148091 | − | 0.124263i | ||||
\(537\) | 11.3177 | + | 9.49671i | 0.488396 | + | 0.409813i | ||||
\(538\) | 1.75015 | + | 9.92561i | 0.0754544 | + | 0.427923i | ||||
\(539\) | −5.82666 | − | 10.0921i | −0.250972 | − | 0.434696i | ||||
\(540\) | 1.93969 | − | 3.35965i | 0.0834711 | − | 0.144576i | ||||
\(541\) | −24.7841 | − | 9.02066i | −1.06555 | − | 0.387828i | −0.251039 | − | 0.967977i | \(-0.580772\pi\) |
−0.814511 | + | 0.580149i | \(0.802994\pi\) | |||||||
\(542\) | 9.17499 | + | 3.33942i | 0.394100 | + | 0.143441i | ||||
\(543\) | 9.11334 | − | 15.7848i | 0.391091 | − | 0.677389i | ||||
\(544\) | 2.76604 | + | 4.79093i | 0.118593 | + | 0.205409i | ||||
\(545\) | 7.01367 | + | 39.7765i | 0.300433 | + | 1.70384i | ||||
\(546\) | 0.460637 | + | 0.386520i | 0.0197135 | + | 0.0165415i | ||||
\(547\) | −26.7317 | + | 22.4306i | −1.14297 | + | 0.959063i | −0.999532 | − | 0.0305971i | \(-0.990259\pi\) |
−0.143435 | + | 0.989660i | \(0.545815\pi\) | |||||||
\(548\) | −0.00340357 | + | 0.0193026i | −0.000145393 | + | 0.000824566i | ||||
\(549\) | −0.0393628 | + | 0.0143269i | −0.00167997 | + | 0.000611457i | ||||
\(550\) | −21.3114 | −0.908721 | ||||||||
\(551\) | 31.8580 | − | 18.7073i | 1.35720 | − | 0.796957i | ||||
\(552\) | −8.94356 | −0.380663 | ||||||||
\(553\) | 5.37211 | − | 1.95529i | 0.228445 | − | 0.0831473i | ||||
\(554\) | 2.92720 | − | 16.6010i | 0.124365 | − | 0.705309i | ||||
\(555\) | −5.03596 | + | 4.22567i | −0.213765 | + | 0.179370i | ||||
\(556\) | 3.44356 | + | 2.88949i | 0.146040 | + | 0.122542i | ||||
\(557\) | −5.65957 | − | 32.0970i | −0.239804 | − | 1.35999i | −0.832258 | − | 0.554389i | \(-0.812952\pi\) |
0.592454 | − | 0.805604i | \(-0.298159\pi\) | |||||||
\(558\) | −1.20574 | − | 2.08840i | −0.0510429 | − | 0.0884089i | ||||
\(559\) | 1.62701 | − | 2.81807i | 0.0688152 | − | 0.119192i | ||||
\(560\) | 4.47178 | + | 1.62760i | 0.188967 | + | 0.0687785i | ||||
\(561\) | −11.0239 | − | 4.01239i | −0.465431 | − | 0.169403i | ||||
\(562\) | 5.86231 | − | 10.1538i | 0.247287 | − | 0.428313i | ||||
\(563\) | 2.39780 | + | 4.15312i | 0.101055 | + | 0.175033i | 0.912120 | − | 0.409924i | \(-0.134445\pi\) |
−0.811064 | + | 0.584957i | \(0.801111\pi\) | |||||||
\(564\) | 0.376859 | + | 2.13727i | 0.0158686 | + | 0.0899955i | ||||
\(565\) | 51.6566 | + | 43.3451i | 2.17321 | + | 1.82354i | ||||
\(566\) | −16.5043 | + | 13.8488i | −0.693729 | + | 0.582108i | ||||
\(567\) | 0.213011 | − | 1.20805i | 0.00894562 | − | 0.0507331i | ||||
\(568\) | −2.47906 | + | 0.902302i | −0.104019 | + | 0.0378598i | ||||
\(569\) | −32.7006 | −1.37088 | −0.685440 | − | 0.728129i | \(-0.740390\pi\) | ||||
−0.685440 | + | 0.728129i | \(0.740390\pi\) | |||||||
\(570\) | −5.90033 | − | 15.8471i | −0.247138 | − | 0.663760i | ||||
\(571\) | −10.9531 | −0.458371 | −0.229186 | − | 0.973383i | \(-0.573606\pi\) | ||||
−0.229186 | + | 0.973383i | \(0.573606\pi\) | |||||||
\(572\) | 0.976834 | − | 0.355538i | 0.0408435 | − | 0.0148658i | ||||
\(573\) | 0.224155 | − | 1.27125i | 0.00936423 | − | 0.0531072i | ||||
\(574\) | 1.50000 | − | 1.25865i | 0.0626088 | − | 0.0525350i | ||||
\(575\) | −68.8517 | − | 57.7734i | −2.87131 | − | 2.40932i | ||||
\(576\) | 0.173648 | + | 0.984808i | 0.00723534 | + | 0.0410337i | ||||
\(577\) | 9.15136 | + | 15.8506i | 0.380976 | + | 0.659870i | 0.991202 | − | 0.132357i | \(-0.0422547\pi\) |
−0.610226 | + | 0.792227i | \(0.708921\pi\) | |||||||
\(578\) | −6.80200 | + | 11.7814i | −0.282926 | + | 0.490042i | ||||
\(579\) | 8.57057 | + | 3.11943i | 0.356181 | + | 0.129639i | ||||
\(580\) | −30.8974 | − | 11.2457i | −1.28294 | − | 0.466954i | ||||
\(581\) | −7.65493 | + | 13.2587i | −0.317580 | + | 0.550064i | ||||
\(582\) | 7.18866 | + | 12.4511i | 0.297980 | + | 0.516116i | ||||
\(583\) | −3.27260 | − | 18.5599i | −0.135537 | − | 0.768671i | ||||
\(584\) | −11.7686 | − | 9.87500i | −0.486987 | − | 0.408631i | ||||
\(585\) | −1.45677 | + | 1.22237i | −0.0602299 | + | 0.0505389i | ||||
\(586\) | −1.93107 | + | 10.9517i | −0.0797720 | + | 0.452409i | ||||
\(587\) | 5.34137 | − | 1.94410i | 0.220462 | − | 0.0802415i | −0.229428 | − | 0.973326i | \(-0.573686\pi\) |
0.449890 | + | 0.893084i | \(0.351463\pi\) | |||||||
\(588\) | −5.49525 | −0.226620 | ||||||||
\(589\) | −10.3648 | − | 1.74903i | −0.427076 | − | 0.0720673i | ||||
\(590\) | 44.2995 | 1.82378 | ||||||||
\(591\) | −17.5005 | + | 6.36965i | −0.719873 | + | 0.262012i | ||||
\(592\) | 0.294263 | − | 1.66885i | 0.0120941 | − | 0.0685892i | ||||
\(593\) | −8.05097 | + | 6.75557i | −0.330614 | + | 0.277418i | −0.792950 | − | 0.609287i | \(-0.791456\pi\) |
0.462336 | + | 0.886705i | \(0.347011\pi\) | |||||||
\(594\) | −1.62449 | − | 1.36310i | −0.0666534 | − | 0.0559289i | ||||
\(595\) | 4.57145 | + | 25.9260i | 0.187411 | + | 1.06286i | ||||
\(596\) | −6.01501 | − | 10.4183i | −0.246385 | − | 0.426751i | ||||
\(597\) | −4.21554 | + | 7.30152i | −0.172530 | + | 0.298832i | ||||
\(598\) | 4.11974 | + | 1.49946i | 0.168469 | + | 0.0613176i | ||||
\(599\) | 42.0146 | + | 15.2921i | 1.71667 | + | 0.624817i | 0.997543 | − | 0.0700613i | \(-0.0223195\pi\) |
0.719128 | + | 0.694878i | \(0.244542\pi\) | |||||||
\(600\) | −5.02481 | + | 8.70323i | −0.205137 | + | 0.355308i | ||||
\(601\) | −16.4363 | − | 28.4685i | −0.670450 | − | 1.16125i | −0.977777 | − | 0.209650i | \(-0.932768\pi\) |
0.307326 | − | 0.951604i | \(-0.400566\pi\) | |||||||
\(602\) | −1.41400 | − | 8.01919i | −0.0576304 | − | 0.326838i | ||||
\(603\) | 3.42855 | + | 2.87689i | 0.139621 | + | 0.117156i | ||||
\(604\) | 0.0452926 | − | 0.0380050i | 0.00184293 | − | 0.00154640i | ||||
\(605\) | 4.38073 | − | 24.8444i | 0.178102 | − | 1.01007i | ||||
\(606\) | −5.35117 | + | 1.94767i | −0.217376 | + | 0.0791185i | ||||
\(607\) | 29.9486 | 1.21558 | 0.607788 | − | 0.794099i | \(-0.292057\pi\) | ||||
0.607788 | + | 0.794099i | \(0.292057\pi\) | |||||||
\(608\) | 3.79086 | + | 2.15160i | 0.153740 | + | 0.0872589i | ||||
\(609\) | −10.3969 | −0.421305 | ||||||||
\(610\) | 0.152704 | − | 0.0555796i | 0.00618279 | − | 0.00225035i | ||||
\(611\) | 0.184736 | − | 1.04769i | 0.00747363 | − | 0.0423850i | ||||
\(612\) | −4.23783 | + | 3.55596i | −0.171304 | + | 0.143741i | ||||
\(613\) | 4.47384 | + | 3.75400i | 0.180697 | + | 0.151623i | 0.728650 | − | 0.684887i | \(-0.240148\pi\) |
−0.547953 | + | 0.836509i | \(0.684593\pi\) | |||||||
\(614\) | 4.34817 | + | 24.6597i | 0.175478 | + | 0.995185i | ||||
\(615\) | 3.09627 | + | 5.36289i | 0.124854 | + | 0.216253i | ||||
\(616\) | 1.30066 | − | 2.25281i | 0.0524051 | − | 0.0907682i | ||||
\(617\) | 11.8135 | + | 4.29975i | 0.475592 | + | 0.173101i | 0.568684 | − | 0.822556i | \(-0.307453\pi\) |
−0.0930920 | + | 0.995658i | \(0.529675\pi\) | |||||||
\(618\) | 0.294263 | + | 0.107103i | 0.0118370 | + | 0.00430831i | ||||
\(619\) | −4.14290 | + | 7.17572i | −0.166517 | + | 0.288417i | −0.937193 | − | 0.348811i | \(-0.886586\pi\) |
0.770676 | + | 0.637228i | \(0.219919\pi\) | |||||||
\(620\) | 4.67752 | + | 8.10170i | 0.187854 | + | 0.325372i | ||||
\(621\) | −1.55303 | − | 8.80769i | −0.0623211 | − | 0.353440i | ||||
\(622\) | 0.0432332 | + | 0.0362770i | 0.00173349 | + | 0.00145457i | ||||
\(623\) | 7.94609 | − | 6.66756i | 0.318353 | − | 0.267130i | ||||
\(624\) | 0.0851223 | − | 0.482753i | 0.00340762 | − | 0.0193256i | ||||
\(625\) | −24.1942 | + | 8.80596i | −0.967767 | + | 0.352238i | ||||
\(626\) | 13.7638 | 0.550113 | ||||||||
\(627\) | −9.09105 | + | 1.67210i | −0.363062 | + | 0.0667771i | ||||
\(628\) | 12.9581 | 0.517085 | ||||||||
\(629\) | 8.80928 | − | 3.20631i | 0.351249 | − | 0.127844i | ||||
\(630\) | −0.826352 | + | 4.68647i | −0.0329226 | + | 0.186714i | ||||
\(631\) | 5.23055 | − | 4.38895i | 0.208225 | − | 0.174722i | −0.532711 | − | 0.846297i | \(-0.678827\pi\) |
0.740936 | + | 0.671576i | \(0.234382\pi\) | |||||||
\(632\) | −3.57011 | − | 2.99568i | −0.142011 | − | 0.119162i | ||||
\(633\) | −0.254900 | − | 1.44561i | −0.0101314 | − | 0.0574578i | ||||
\(634\) | −5.45202 | − | 9.44317i | −0.216527 | − | 0.375036i | ||||
\(635\) | −3.16250 | + | 5.47762i | −0.125500 | + | 0.217373i | ||||
\(636\) | −8.35117 | − | 3.03958i | −0.331145 | − | 0.120527i | ||||
\(637\) | 2.53132 | + | 0.921324i | 0.100294 | + | 0.0365042i | ||||
\(638\) | −8.98680 | + | 15.5656i | −0.355791 | + | 0.616248i | ||||
\(639\) | −1.31908 | − | 2.28471i | −0.0521819 | − | 0.0903817i | ||||
\(640\) | −0.673648 | − | 3.82045i | −0.0266283 | − | 0.151016i | ||||
\(641\) | 29.6544 | + | 24.8830i | 1.17128 | + | 0.982818i | 0.999997 | − | 0.00240481i | \(-0.000765477\pi\) |
0.171279 | + | 0.985222i | \(0.445210\pi\) | |||||||
\(642\) | −12.8910 | + | 10.8168i | −0.508767 | + | 0.426906i | ||||
\(643\) | −2.18820 | + | 12.4099i | −0.0862940 | + | 0.489398i | 0.910776 | + | 0.412901i | \(0.135485\pi\) |
−0.997070 | + | 0.0764965i | \(0.975627\pi\) | |||||||
\(644\) | 10.3093 | − | 3.75227i | 0.406242 | − | 0.147860i | ||||
\(645\) | 25.7520 | 1.01398 | ||||||||
\(646\) | 0.177519 | + | 24.1132i | 0.00698437 | + | 0.948720i | ||||
\(647\) | 8.41241 | 0.330726 | 0.165363 | − | 0.986233i | \(-0.447120\pi\) | ||||
0.165363 | + | 0.986233i | \(0.447120\pi\) | |||||||
\(648\) | −0.939693 | + | 0.342020i | −0.0369146 | + | 0.0134358i | ||||
\(649\) | 4.20502 | − | 23.8479i | 0.165062 | − | 0.936111i | ||||
\(650\) | 3.77379 | − | 3.16658i | 0.148020 | − | 0.124204i | ||||
\(651\) | 2.26604 | + | 1.90144i | 0.0888133 | + | 0.0745232i | ||||
\(652\) | 2.61721 | + | 14.8429i | 0.102498 | + | 0.581294i | ||||
\(653\) | −13.1900 | − | 22.8458i | −0.516165 | − | 0.894024i | −0.999824 | − | 0.0187673i | \(-0.994026\pi\) |
0.483659 | − | 0.875257i | \(-0.339307\pi\) | |||||||
\(654\) | 5.20574 | − | 9.01660i | 0.203560 | − | 0.352577i | ||||
\(655\) | 21.7383 | + | 7.91209i | 0.849385 | + | 0.309151i | ||||
\(656\) | −1.50000 | − | 0.545955i | −0.0585652 | − | 0.0213160i | ||||
\(657\) | 7.68139 | − | 13.3046i | 0.299680 | − | 0.519060i | ||||
\(658\) | −1.33110 | − | 2.30553i | −0.0518917 | − | 0.0898790i | ||||
\(659\) | 5.55794 | + | 31.5207i | 0.216507 | + | 1.22787i | 0.878273 | + | 0.478160i | \(0.158696\pi\) |
−0.661766 | + | 0.749711i | \(0.730193\pi\) | |||||||
\(660\) | 6.30200 | + | 5.28801i | 0.245305 | + | 0.205835i | ||||
\(661\) | −31.0462 | + | 26.0509i | −1.20756 | + | 1.01326i | −0.208177 | + | 0.978091i | \(0.566753\pi\) |
−0.999381 | + | 0.0351705i | \(0.988803\pi\) | |||||||
\(662\) | 1.49185 | − | 8.46069i | 0.0579823 | − | 0.328834i | ||||
\(663\) | 2.54829 | − | 0.927500i | 0.0989672 | − | 0.0360211i | ||||
\(664\) | 12.4807 | 0.484345 | ||||||||
\(665\) | 13.4500 | + | 15.7915i | 0.521567 | + | 0.612367i | ||||
\(666\) | 1.69459 | 0.0656641 | ||||||||
\(667\) | −71.2311 | + | 25.9260i | −2.75808 | + | 1.00386i | ||||
\(668\) | −0.337029 | + | 1.91139i | −0.0130401 | + | 0.0739538i | ||||
\(669\) | 20.1229 | − | 16.8851i | 0.777996 | − | 0.652816i | ||||
\(670\) | −13.3007 | − | 11.1606i | −0.513849 | − | 0.431171i | ||||
\(671\) | −0.0154253 | − | 0.0874810i | −0.000595486 | − | 0.00337717i | ||||
\(672\) | −0.613341 | − | 1.06234i | −0.0236601 | − | 0.0409806i | ||||
\(673\) | 2.28059 | − | 3.95010i | 0.0879104 | − | 0.152265i | −0.818717 | − | 0.574197i | \(-0.805314\pi\) |
0.906628 | + | 0.421932i | \(0.138648\pi\) | |||||||
\(674\) | 2.17112 | + | 0.790224i | 0.0836285 | + | 0.0304383i | ||||
\(675\) | −9.44356 | − | 3.43718i | −0.363483 | − | 0.132297i | ||||
\(676\) | 6.37985 | − | 11.0502i | 0.245379 | − | 0.425009i | ||||
\(677\) | −16.7208 | − | 28.9612i | −0.642631 | − | 1.11307i | −0.984843 | − | 0.173446i | \(-0.944510\pi\) |
0.342213 | − | 0.939623i | \(-0.388824\pi\) | |||||||
\(678\) | −3.01842 | − | 17.1183i | −0.115922 | − | 0.657424i | ||||
\(679\) | −13.5103 | − | 11.3365i | −0.518476 | − | 0.435053i | ||||
\(680\) | 16.4402 | − | 13.7949i | 0.630451 | − | 0.529011i | ||||
\(681\) | 3.18954 | − | 18.0888i | 0.122223 | − | 0.693164i | ||||
\(682\) | 4.80541 | − | 1.74903i | 0.184009 | − | 0.0669736i | ||||
\(683\) | −26.4825 | −1.01332 | −0.506662 | − | 0.862145i | \(-0.669121\pi\) | ||||
−0.506662 | + | 0.862145i | \(0.669121\pi\) | |||||||
\(684\) | −1.46064 | + | 4.10689i | −0.0558489 | + | 0.157031i | ||||
\(685\) | 0.0760373 | 0.00290524 | ||||||||
\(686\) | 14.4033 | − | 5.24238i | 0.549921 | − | 0.200155i | ||||
\(687\) | 0.672304 | − | 3.81283i | 0.0256500 | − | 0.145468i | ||||
\(688\) | −5.08512 | + | 4.26692i | −0.193868 | + | 0.162675i | ||||
\(689\) | 3.33725 | + | 2.80028i | 0.127139 | + | 0.106682i | ||||
\(690\) | 6.02481 | + | 34.1684i | 0.229361 | + | 1.30077i | ||||
\(691\) | −16.7003 | − | 28.9257i | −0.635308 | − | 1.10039i | −0.986450 | − | 0.164064i | \(-0.947540\pi\) |
0.351141 | − | 0.936322i | \(-0.385794\pi\) | |||||||
\(692\) | −8.03596 | + | 13.9187i | −0.305481 | + | 0.529109i | ||||
\(693\) | 2.44444 | + | 0.889704i | 0.0928566 | + | 0.0337970i | ||||
\(694\) | 3.08765 | + | 1.12381i | 0.117206 | + | 0.0426593i | ||||
\(695\) | 8.71941 | − | 15.1025i | 0.330746 | − | 0.572869i | ||||
\(696\) | 4.23783 | + | 7.34013i | 0.160634 | + | 0.278227i | ||||
\(697\) | −1.53343 | − | 8.69653i | −0.0580829 | − | 0.329405i | ||||
\(698\) | 22.4820 | + | 18.8647i | 0.850958 | + | 0.714039i | ||||
\(699\) | 12.5988 | − | 10.5716i | 0.476530 | − | 0.399856i | ||||
\(700\) | 2.14068 | − | 12.1404i | 0.0809102 | − | 0.458864i | ||||
\(701\) | −17.7408 | + | 6.45713i | −0.670061 | + | 0.243882i | −0.654574 | − | 0.755998i | \(-0.727152\pi\) |
−0.0154871 | + | 0.999880i | \(0.504930\pi\) | |||||||
\(702\) | 0.490200 | 0.0185014 | ||||||||
\(703\) | 4.70620 | − | 5.69323i | 0.177498 | − | 0.214724i | ||||
\(704\) | −2.12061 | −0.0799237 | ||||||||
\(705\) | 7.91147 | − | 2.87954i | 0.297963 | − | 0.108450i | ||||
\(706\) | −1.34389 | + | 7.62159i | −0.0505781 | + | 0.286843i | ||||
\(707\) | 5.35117 | − | 4.49016i | 0.201251 | − | 0.168870i | ||||
\(708\) | −8.74763 | − | 7.34013i | −0.328756 | − | 0.275859i | ||||
\(709\) | −0.0369988 | − | 0.209830i | −0.00138952 | − | 0.00788034i | 0.984105 | − | 0.177587i | \(-0.0568291\pi\) |
−0.985495 | + | 0.169707i | \(0.945718\pi\) | |||||||
\(710\) | 5.11721 | + | 8.86327i | 0.192046 | + | 0.332633i | ||||
\(711\) | 2.33022 | − | 4.03606i | 0.0873902 | − | 0.151364i | ||||
\(712\) | −7.94609 | − | 2.89214i | −0.297792 | − | 0.108388i | ||||
\(713\) | 20.2665 | + | 7.37641i | 0.758987 | + | 0.276249i | ||||
\(714\) | 3.39306 | − | 5.87695i | 0.126982 | − | 0.219939i | ||||
\(715\) | −2.01636 | − | 3.49244i | −0.0754075 | − | 0.130610i | ||||
\(716\) | 2.56552 | + | 14.5498i | 0.0958781 | + | 0.543751i | ||||
\(717\) | 2.53209 | + | 2.12467i | 0.0945626 | + | 0.0793474i | ||||
\(718\) | 2.19665 | − | 1.84321i | 0.0819783 | − | 0.0687880i | ||||
\(719\) | −2.25150 | + | 12.7689i | −0.0839667 | + | 0.476199i | 0.913608 | + | 0.406596i | \(0.133284\pi\) |
−0.997575 | + | 0.0696027i | \(0.977827\pi\) | |||||||
\(720\) | 3.64543 | − | 1.32683i | 0.135857 | − | 0.0494480i | ||||
\(721\) | −0.384133 | −0.0143059 | ||||||||
\(722\) | 9.74123 | + | 16.3128i | 0.362531 | + | 0.607101i | ||||
\(723\) | 3.01548 | 0.112147 | ||||||||
\(724\) | 17.1275 | − | 6.23389i | 0.636538 | − | 0.231681i | ||||
\(725\) | −14.7909 | + | 83.8831i | −0.549319 | + | 3.11534i | ||||
\(726\) | −4.98158 | + | 4.18004i | −0.184884 | + | 0.155136i | ||||
\(727\) | 19.7062 | + | 16.5355i | 0.730863 | + | 0.613267i | 0.930367 | − | 0.366630i | \(-0.119489\pi\) |
−0.199504 | + | 0.979897i | \(0.563933\pi\) | |||||||
\(728\) | 0.104418 | + | 0.592184i | 0.00386999 | + | 0.0219478i | ||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | −29.7991 | + | 51.6135i | −1.10291 | + | 1.91030i | ||||
\(731\) | −34.5082 | − | 12.5600i | −1.27633 | − | 0.464547i | ||||
\(732\) | −0.0393628 | − | 0.0143269i | −0.00145489 | − | 0.000529538i | ||||
\(733\) | −4.25995 | + | 7.37845i | −0.157345 | + | 0.272529i | −0.933910 | − | 0.357507i | \(-0.883627\pi\) |
0.776565 | + | 0.630037i | \(0.216960\pi\) | |||||||
\(734\) | 11.4829 | + | 19.8890i | 0.423843 | + | 0.734117i | ||||
\(735\) | 3.70187 | + | 20.9943i | 0.136545 | + | 0.774387i | ||||
\(736\) | −6.85117 | − | 5.74881i | −0.252537 | − | 0.211904i | ||||
\(737\) | −7.27063 | + | 6.10078i | −0.267817 | + | 0.224725i | ||||
\(738\) | 0.277189 | − | 1.57202i | 0.0102035 | − | 0.0578667i | ||||
\(739\) | 12.5030 | − | 4.55072i | 0.459930 | − | 0.167401i | −0.101655 | − | 0.994820i | \(-0.532414\pi\) |
0.561585 | + | 0.827419i | \(0.310192\pi\) | |||||||
\(740\) | −6.57398 | −0.241664 | ||||||||
\(741\) | 1.36138 | − | 1.64690i | 0.0500115 | − | 0.0605003i | ||||
\(742\) | 10.9017 | 0.400213 | ||||||||
\(743\) | 25.3307 | − | 9.21962i | 0.929293 | − | 0.338235i | 0.167364 | − | 0.985895i | \(-0.446475\pi\) |
0.761929 | + | 0.647660i | \(0.224252\pi\) | |||||||
\(744\) | 0.418748 | − | 2.37484i | 0.0153520 | − | 0.0870658i | ||||
\(745\) | −35.7506 | + | 29.9983i | −1.30980 | + | 1.09905i | ||||
\(746\) | −17.7652 | − | 14.9067i | −0.650429 | − | 0.545775i | ||||
\(747\) | 2.16725 | + | 12.2911i | 0.0792956 | + | 0.449708i | ||||
\(748\) | −5.86571 | − | 10.1597i | −0.214472 | − | 0.371476i | ||||
\(749\) | 10.3213 | − | 17.8770i | 0.377132 | − | 0.653212i | ||||
\(750\) | 18.4081 | + | 6.69999i | 0.672168 | + | 0.244649i | ||||
\(751\) | −17.3277 | − | 6.30677i | −0.632297 | − | 0.230137i | 0.00593399 | − | 0.999982i | \(-0.498111\pi\) |
−0.638231 | + | 0.769845i | \(0.720333\pi\) | |||||||
\(752\) | −1.08512 | + | 1.87949i | −0.0395703 | + | 0.0685378i | ||||
\(753\) | 1.76739 | + | 3.06121i | 0.0644072 | + | 0.111557i | ||||
\(754\) | −0.721467 | − | 4.09164i | −0.0262743 | − | 0.149009i | ||||
\(755\) | −0.175708 | − | 0.147436i | −0.00639465 | − | 0.00536575i | ||||
\(756\) | 0.939693 | − | 0.788496i | 0.0341763 | − | 0.0286773i | ||||
\(757\) | 5.19490 | − | 29.4617i | 0.188812 | − | 1.07080i | −0.732148 | − | 0.681146i | \(-0.761482\pi\) |
0.920959 | − | 0.389659i | \(-0.127407\pi\) | |||||||
\(758\) | 31.4971 | − | 11.4640i | 1.14402 | − | 0.416391i | ||||
\(759\) | 18.9659 | 0.688417 | ||||||||
\(760\) | 5.66637 | − | 15.9322i | 0.205541 | − | 0.577922i | ||||
\(761\) | −28.6691 | −1.03925 | −0.519627 | − | 0.854393i | \(-0.673929\pi\) | ||||
−0.519627 | + | 0.854393i | \(0.673929\pi\) | |||||||
\(762\) | 1.53209 | − | 0.557635i | 0.0555017 | − | 0.0202010i | ||||
\(763\) | −2.21776 | + | 12.5775i | −0.0802883 | + | 0.455337i | ||||
\(764\) | 0.988856 | − | 0.829748i | 0.0357755 | − | 0.0300192i | ||||
\(765\) | 16.4402 | + | 13.7949i | 0.594395 | + | 0.498757i | ||||
\(766\) | 1.16860 | + | 6.62744i | 0.0422231 | + | 0.239459i | ||||
\(767\) | 2.79885 | + | 4.84775i | 0.101061 | + | 0.175042i | ||||
\(768\) |