Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.29 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.29 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0182644 | − | 0.0465369i | 0.0129149 | − | 0.0329065i | −0.924271 | − | 0.381737i | \(-0.875326\pi\) |
0.937186 | + | 0.348831i | \(0.113421\pi\) | |||||||
\(3\) | 0.00478463 | − | 1.73204i | 0.00276240 | − | 0.999996i | ||||
\(4\) | 1.46427 | + | 1.35865i | 0.732136 | + | 0.679323i | ||||
\(5\) | 3.32215 | − | 1.59986i | 1.48571 | − | 0.715480i | 0.497340 | − | 0.867556i | \(-0.334310\pi\) |
0.988369 | + | 0.152076i | \(0.0485958\pi\) | |||||||
\(6\) | −0.0805165 | − | 0.0318574i | −0.0328707 | − | 0.0130057i | ||||
\(7\) | 1.96730 | − | 1.76910i | 0.743571 | − | 0.668657i | ||||
\(8\) | 0.180055 | − | 0.0867098i | 0.0636590 | − | 0.0306566i | ||||
\(9\) | −2.99995 | − | 0.0165744i | −0.999985 | − | 0.00552479i | ||||
\(10\) | −0.0137756 | − | 0.183823i | −0.00435623 | − | 0.0581299i | ||||
\(11\) | −0.0359099 | − | 0.0450296i | −0.0108272 | − | 0.0135769i | 0.776388 | − | 0.630255i | \(-0.217050\pi\) |
−0.787216 | + | 0.616678i | \(0.788478\pi\) | |||||||
\(12\) | 2.36024 | − | 2.52968i | 0.681343 | − | 0.730256i | ||||
\(13\) | −0.421672 | + | 1.07440i | −0.116951 | + | 0.297986i | −0.977348 | − | 0.211638i | \(-0.932120\pi\) |
0.860397 | + | 0.509624i | \(0.170215\pi\) | |||||||
\(14\) | −0.0463968 | − | 0.123864i | −0.0124001 | − | 0.0331040i | ||||
\(15\) | −2.75514 | − | 5.76176i | −0.711373 | − | 1.48768i | ||||
\(16\) | 0.297800 | + | 3.97387i | 0.0744501 | + | 0.993467i | ||||
\(17\) | −4.28017 | + | 3.97141i | −1.03809 | + | 0.963210i | −0.999350 | − | 0.0360397i | \(-0.988526\pi\) |
−0.0387426 | + | 0.999249i | \(0.512335\pi\) | |||||||
\(18\) | −0.0555636 | + | 0.139306i | −0.0130965 | + | 0.0328347i | ||||
\(19\) | −3.80751 | + | 6.59480i | −0.873502 | + | 1.51295i | −0.0151527 | + | 0.999885i | \(0.504823\pi\) |
−0.858350 | + | 0.513065i | \(0.828510\pi\) | |||||||
\(20\) | 7.03817 | + | 2.17099i | 1.57378 | + | 0.485448i | ||||
\(21\) | −3.05475 | − | 3.41592i | −0.666600 | − | 0.745415i | ||||
\(22\) | −0.00275141 | 0.000848697i | −0.000586602 | 0.000180943i | ||||||
\(23\) | 1.40452 | − | 6.15361i | 0.292863 | − | 1.28312i | −0.587659 | − | 0.809109i | \(-0.699950\pi\) |
0.880521 | − | 0.474007i | \(-0.157193\pi\) | |||||||
\(24\) | −0.149324 | − | 0.312278i | −0.0304806 | − | 0.0637434i | ||||
\(25\) | 5.35965 | − | 6.72079i | 1.07193 | − | 1.34416i | ||||
\(26\) | 0.0422978 | + | 0.0392466i | 0.00829527 | + | 0.00769689i | ||||
\(27\) | −0.0430612 | + | 5.19597i | −0.00828713 | + | 0.999966i | ||||
\(28\) | 5.28425 | + | 0.0824266i | 0.998629 | + | 0.0155772i | ||||
\(29\) | −3.42656 | − | 1.05695i | −0.636297 | − | 0.196272i | −0.0402096 | − | 0.999191i | \(-0.512803\pi\) |
−0.596087 | + | 0.802920i | \(0.703279\pi\) | |||||||
\(30\) | −0.318455 | + | 0.0229804i | −0.0581417 | + | 0.00419564i | ||||
\(31\) | −3.17832 | + | 5.50502i | −0.570844 | + | 0.988730i | 0.425636 | + | 0.904894i | \(0.360050\pi\) |
−0.996480 | + | 0.0838357i | \(0.973283\pi\) | |||||||
\(32\) | 0.572305 | + | 0.176533i | 0.101170 | + | 0.0312069i | ||||
\(33\) | −0.0781650 | + | 0.0619821i | −0.0136068 | + | 0.0107897i | ||||
\(34\) | 0.106643 | + | 0.271721i | 0.0182891 | + | 0.0465998i | ||||
\(35\) | 3.70536 | − | 9.02462i | 0.626320 | − | 1.52544i | ||||
\(36\) | −4.37023 | − | 4.10014i | −0.728372 | − | 0.683357i | ||||
\(37\) | −7.11067 | − | 2.19335i | −1.16899 | − | 0.360585i | −0.351309 | − | 0.936260i | \(-0.614263\pi\) |
−0.817679 | + | 0.575675i | \(0.804739\pi\) | |||||||
\(38\) | 0.237360 | + | 0.297639i | 0.0385048 | + | 0.0482835i | ||||
\(39\) | 1.85889 | + | 0.735495i | 0.297661 | + | 0.117773i | ||||
\(40\) | 0.459445 | − | 0.576126i | 0.0726446 | − | 0.0910934i | ||||
\(41\) | 1.99416 | + | 1.35959i | 0.311435 | + | 0.212333i | 0.708943 | − | 0.705266i | \(-0.249172\pi\) |
−0.397508 | + | 0.917599i | \(0.630125\pi\) | |||||||
\(42\) | −0.214759 | + | 0.0797687i | −0.0331381 | + | 0.0123086i | ||||
\(43\) | 5.78265 | − | 3.94254i | 0.881845 | − | 0.601232i | −0.0354801 | − | 0.999370i | \(-0.511296\pi\) |
0.917325 | + | 0.398138i | \(0.130344\pi\) | |||||||
\(44\) | 0.00859740 | − | 0.114724i | 0.00129611 | − | 0.0172953i | ||||
\(45\) | −9.99280 | + | 4.74445i | −1.48964 | + | 0.707261i | ||||
\(46\) | −0.260717 | − | 0.177754i | −0.0384406 | − | 0.0262084i | ||||
\(47\) | 3.09216 | − | 7.87870i | 0.451038 | − | 1.14923i | −0.506837 | − | 0.862042i | \(-0.669185\pi\) |
0.957875 | − | 0.287185i | \(-0.0927193\pi\) | |||||||
\(48\) | 6.88434 | − | 0.496790i | 0.993669 | − | 0.0717054i | ||||
\(49\) | 0.740572 | − | 6.96071i | 0.105796 | − | 0.994388i | ||||
\(50\) | −0.214874 | − | 0.372172i | −0.0303877 | − | 0.0526331i | ||||
\(51\) | 6.85819 | + | 7.43244i | 0.960338 | + | 1.04075i | ||||
\(52\) | −2.07717 | + | 1.00031i | −0.288052 | + | 0.138719i | ||||
\(53\) | 0.957518 | − | 0.295355i | 0.131525 | − | 0.0405702i | −0.228294 | − | 0.973592i | \(-0.573315\pi\) |
0.359819 | + | 0.933022i | \(0.382838\pi\) | |||||||
\(54\) | 0.241018 | + | 0.0969052i | 0.0327984 | + | 0.0131871i | ||||
\(55\) | −0.191339 | − | 0.0921440i | −0.0258001 | − | 0.0124247i | ||||
\(56\) | 0.200824 | − | 0.489120i | 0.0268363 | − | 0.0653614i | ||||
\(57\) | 11.4043 | + | 6.62633i | 1.51053 | + | 0.877678i | ||||
\(58\) | −0.111771 | + | 0.140157i | −0.0146763 | + | 0.0184035i | ||||
\(59\) | 9.58384 | − | 6.53415i | 1.24771 | − | 0.850674i | 0.254507 | − | 0.967071i | \(-0.418087\pi\) |
0.993203 | + | 0.116396i | \(0.0371343\pi\) | |||||||
\(60\) | 3.79392 | − | 12.1800i | 0.489793 | − | 1.57244i | ||||
\(61\) | −8.17217 | + | 7.58267i | −1.04634 | + | 0.970861i | −0.999607 | − | 0.0280464i | \(-0.991071\pi\) |
−0.0467327 | + | 0.998907i | \(0.514881\pi\) | |||||||
\(62\) | 0.198136 | + | 0.248455i | 0.0251633 | + | 0.0315538i | ||||
\(63\) | −5.93114 | + | 5.27461i | −0.747254 | + | 0.664539i | ||||
\(64\) | −4.95056 | + | 6.20780i | −0.618820 | + | 0.775976i | ||||
\(65\) | 0.318039 | + | 4.24394i | 0.0394479 | + | 0.526396i | ||||
\(66\) | 0.00145682 | + | 0.00476962i | 0.000179322 | + | 0.000587100i | ||||
\(67\) | −2.65785 | + | 4.60354i | −0.324708 | + | 0.562412i | −0.981453 | − | 0.191701i | \(-0.938600\pi\) |
0.656745 | + | 0.754113i | \(0.271933\pi\) | |||||||
\(68\) | −11.6631 | −1.41436 | ||||||||
\(69\) | −10.6516 | − | 2.46213i | −1.28230 | − | 0.296406i | ||||
\(70\) | −0.352302 | − | 0.337265i | −0.0421081 | − | 0.0403109i | ||||
\(71\) | −0.721728 | + | 3.16210i | −0.0856534 | + | 0.375272i | −0.999528 | − | 0.0307249i | \(-0.990218\pi\) |
0.913875 | + | 0.405997i | \(0.133076\pi\) | |||||||
\(72\) | −0.541593 | + | 0.257141i | −0.0638274 | + | 0.0303044i | ||||
\(73\) | −0.401247 | − | 0.0604783i | −0.0469624 | − | 0.00707845i | 0.125519 | − | 0.992091i | \(-0.459940\pi\) |
−0.172481 | + | 0.985013i | \(0.555178\pi\) | |||||||
\(74\) | −0.231944 | + | 0.290848i | −0.0269629 | + | 0.0338104i | ||||
\(75\) | −11.6151 | − | 9.31531i | −1.34119 | − | 1.07564i | ||||
\(76\) | −14.5352 | + | 4.48352i | −1.66730 | + | 0.514295i | ||||
\(77\) | −0.150307 | − | 0.0250587i | −0.0171291 | − | 0.00285570i | ||||
\(78\) | 0.0681792 | − | 0.0730738i | 0.00771977 | − | 0.00827398i | ||||
\(79\) | −1.71988 | − | 2.97892i | −0.193502 | − | 0.335155i | 0.752906 | − | 0.658128i | \(-0.228651\pi\) |
−0.946408 | + | 0.322972i | \(0.895318\pi\) | |||||||
\(80\) | 7.34697 | + | 12.7253i | 0.821417 | + | 1.42274i | ||||
\(81\) | 8.99945 | + | 0.0994447i | 0.999939 | + | 0.0110494i | ||||
\(82\) | 0.0996934 | − | 0.0679698i | 0.0110093 | − | 0.00750601i | ||||
\(83\) | 4.73946 | + | 12.0759i | 0.520223 | + | 1.32551i | 0.913781 | + | 0.406208i | \(0.133149\pi\) |
−0.393557 | + | 0.919300i | \(0.628756\pi\) | |||||||
\(84\) | 0.168050 | − | 9.15216i | 0.0183357 | − | 0.998582i | ||||
\(85\) | −7.86563 | + | 20.0413i | −0.853147 | + | 2.17378i | ||||
\(86\) | −0.0778571 | − | 0.341114i | −0.00839555 | − | 0.0367833i | ||||
\(87\) | −1.84709 | + | 5.92990i | −0.198029 | + | 0.635752i | ||||
\(88\) | −0.0103703 | − | 0.00499405i | −0.00110547 | − | 0.000532368i | ||||
\(89\) | −0.656784 | − | 1.67346i | −0.0696190 | − | 0.177386i | 0.891829 | − | 0.452372i | \(-0.149422\pi\) |
−0.961448 | + | 0.274986i | \(0.911327\pi\) | |||||||
\(90\) | 0.0382795 | + | 0.551688i | 0.00403501 | + | 0.0581530i | ||||
\(91\) | 1.07117 | + | 2.85966i | 0.112289 | + | 0.299773i | ||||
\(92\) | 10.4172 | − | 7.10231i | 1.08606 | − | 0.740467i | ||||
\(93\) | 9.51973 | + | 5.53134i | 0.987150 | + | 0.573573i | ||||
\(94\) | −0.310174 | − | 0.287799i | −0.0319920 | − | 0.0296842i | ||||
\(95\) | −2.09834 | + | 28.0004i | −0.215285 | + | 2.87278i | ||||
\(96\) | 0.308501 | − | 0.990413i | 0.0314862 | − | 0.101084i | ||||
\(97\) | −3.04340 | + | 5.27133i | −0.309011 | + | 0.535222i | −0.978146 | − | 0.207918i | \(-0.933331\pi\) |
0.669136 | + | 0.743140i | \(0.266665\pi\) | |||||||
\(98\) | −0.310404 | − | 0.161597i | −0.0313555 | − | 0.0163238i | ||||
\(99\) | 0.106982 | + | 0.135682i | 0.0107521 | + | 0.0136365i | ||||
\(100\) | 16.9792 | − | 2.55920i | 1.69792 | − | 0.255920i | ||||
\(101\) | 3.21834 | − | 1.54987i | 0.320237 | − | 0.154218i | −0.266859 | − | 0.963736i | \(-0.585986\pi\) |
0.587095 | + | 0.809518i | \(0.300271\pi\) | |||||||
\(102\) | 0.471143 | − | 0.183410i | 0.0466501 | − | 0.0181603i | ||||
\(103\) | 13.5000 | − | 6.50125i | 1.33019 | − | 0.640588i | 0.372408 | − | 0.928069i | \(-0.378532\pi\) |
0.957786 | + | 0.287482i | \(0.0928180\pi\) | |||||||
\(104\) | 0.0172372 | + | 0.230014i | 0.00169025 | + | 0.0225548i | ||||
\(105\) | −15.6133 | − | 6.46102i | −1.52370 | − | 0.630531i | ||||
\(106\) | 0.00374356 | − | 0.0499544i | 0.000363607 | − | 0.00485200i | ||||
\(107\) | −6.08686 | − | 15.5091i | −0.588439 | − | 1.49932i | −0.846068 | − | 0.533075i | \(-0.821037\pi\) |
0.257629 | − | 0.966244i | \(-0.417059\pi\) | |||||||
\(108\) | −7.12254 | + | 7.54981i | −0.685367 | + | 0.726481i | ||||
\(109\) | 0.764226 | − | 1.94722i | 0.0731996 | − | 0.186510i | −0.889591 | − | 0.456758i | \(-0.849011\pi\) |
0.962791 | + | 0.270248i | \(0.0871058\pi\) | |||||||
\(110\) | −0.00778278 | + | 0.00722137i | −0.000742059 | + | 0.000688530i | ||||
\(111\) | −3.83300 | + | 12.3055i | −0.363813 | + | 1.16799i | ||||
\(112\) | 7.61603 | + | 7.29097i | 0.719647 | + | 0.688932i | ||||
\(113\) | −15.7159 | − | 2.36879i | −1.47843 | − | 0.222837i | −0.640220 | − | 0.768191i | \(-0.721157\pi\) |
−0.838206 | + | 0.545354i | \(0.816395\pi\) | |||||||
\(114\) | 0.516660 | − | 0.409693i | 0.0483897 | − | 0.0383713i | ||||
\(115\) | −5.17889 | − | 22.6902i | −0.482934 | − | 2.11587i | ||||
\(116\) | −3.58139 | − | 6.20315i | −0.332524 | − | 0.575948i | ||||
\(117\) | 1.28280 | − | 3.21617i | 0.118595 | − | 0.297335i | ||||
\(118\) | −0.129036 | − | 0.565345i | −0.0118787 | − | 0.0520442i | ||||
\(119\) | −1.39456 | + | 15.3850i | −0.127839 | + | 1.41034i | ||||
\(120\) | −0.995677 | − | 0.798535i | −0.0908924 | − | 0.0728960i | ||||
\(121\) | 2.44699 | − | 10.7210i | 0.222454 | − | 0.974634i | ||||
\(122\) | 0.203614 | + | 0.518800i | 0.0184343 | + | 0.0469700i | ||||
\(123\) | 2.36442 | − | 3.44747i | 0.213193 | − | 0.310848i | ||||
\(124\) | −12.1333 | + | 3.74263i | −1.08960 | + | 0.336098i | ||||
\(125\) | 2.95070 | − | 12.9279i | 0.263919 | − | 1.15630i | ||||
\(126\) | 0.137135 | + | 0.372354i | 0.0122170 | + | 0.0331720i | ||||
\(127\) | 2.91698 | + | 12.7801i | 0.258840 | + | 1.13405i | 0.922494 | + | 0.386012i | \(0.126148\pi\) |
−0.663654 | + | 0.748040i | \(0.730995\pi\) | |||||||
\(128\) | 0.797386 | + | 1.38111i | 0.0704796 | + | 0.122074i | ||||
\(129\) | −6.80099 | − | 10.0347i | −0.598794 | − | 0.883503i | ||||
\(130\) | 0.203308 | + | 0.0627123i | 0.0178313 | + | 0.00550024i | ||||
\(131\) | −2.96297 | − | 1.42689i | −0.258876 | − | 0.124668i | 0.299945 | − | 0.953957i | \(-0.403032\pi\) |
−0.558821 | + | 0.829288i | \(0.688746\pi\) | |||||||
\(132\) | −0.198666 | − | 0.0154400i | −0.0172917 | − | 0.00134388i | ||||
\(133\) | 4.17633 | + | 19.7098i | 0.362134 | + | 1.70906i | ||||
\(134\) | 0.165690 | + | 0.207769i | 0.0143135 | + | 0.0179485i | ||||
\(135\) | 8.16978 | + | 17.3307i | 0.703143 | + | 1.49159i | ||||
\(136\) | −0.426304 | + | 1.08621i | −0.0365553 | + | 0.0931413i | ||||
\(137\) | 4.79568 | + | 2.30948i | 0.409723 | + | 0.197312i | 0.627380 | − | 0.778713i | \(-0.284127\pi\) |
−0.217657 | + | 0.976025i | \(0.569842\pi\) | |||||||
\(138\) | −0.309125 | + | 0.450723i | −0.0263145 | + | 0.0383681i | ||||
\(139\) | 8.64950 | + | 5.89713i | 0.733641 | + | 0.500188i | 0.871580 | − | 0.490253i | \(-0.163095\pi\) |
−0.137939 | + | 0.990441i | \(0.544048\pi\) | |||||||
\(140\) | 17.6869 | − | 8.18023i | 1.49482 | − | 0.691356i | ||||
\(141\) | −13.6315 | − | 5.39346i | −1.14798 | − | 0.454211i | ||||
\(142\) | 0.133972 | + | 0.0913407i | 0.0112427 | + | 0.00766514i | ||||
\(143\) | 0.0635221 | − | 0.0195940i | 0.00531198 | − | 0.00163853i | ||||
\(144\) | −0.827523 | − | 11.9264i | −0.0689602 | − | 0.993863i | ||||
\(145\) | −13.0745 | + | 1.97067i | −1.08578 | + | 0.163655i | ||||
\(146\) | −0.0101430 | + | 0.0175682i | −0.000839441 | + | 0.00145395i | ||||
\(147\) | −12.0527 | − | 1.31601i | −0.994092 | − | 0.108543i | ||||
\(148\) | −7.43197 | − | 12.8725i | −0.610904 | − | 1.05812i | ||||
\(149\) | −11.3252 | − | 14.2013i | −0.927794 | − | 1.16342i | −0.986272 | − | 0.165128i | \(-0.947196\pi\) |
0.0584783 | − | 0.998289i | \(-0.481375\pi\) | |||||||
\(150\) | −0.645647 | + | 0.370390i | −0.0527169 | + | 0.0302422i | ||||
\(151\) | −1.00861 | + | 4.41902i | −0.0820796 | + | 0.359614i | −0.999243 | − | 0.0388965i | \(-0.987616\pi\) |
0.917164 | + | 0.398511i | \(0.130473\pi\) | |||||||
\(152\) | −0.113726 | + | 1.51757i | −0.00922443 | + | 0.123091i | ||||
\(153\) | 12.9061 | − | 11.8431i | 1.04340 | − | 0.957460i | ||||
\(154\) | −0.00391143 | + | 0.00653716i | −0.000315192 | + | 0.000526779i | ||||
\(155\) | −1.75159 | + | 23.3733i | −0.140691 | + | 1.87739i | ||||
\(156\) | 1.72265 | + | 3.60254i | 0.137922 | + | 0.288434i | ||||
\(157\) | −1.63595 | + | 1.11537i | −0.130563 | + | 0.0890166i | −0.626841 | − | 0.779147i | \(-0.715652\pi\) |
0.496277 | + | 0.868164i | \(0.334700\pi\) | |||||||
\(158\) | −0.170042 | + | 0.0256298i | −0.0135279 | + | 0.00203900i | ||||
\(159\) | −0.506987 | − | 1.65988i | −0.0402067 | − | 0.131637i | ||||
\(160\) | 2.18371 | − | 0.329141i | 0.172637 | − | 0.0260209i | ||||
\(161\) | −8.12322 | − | 14.5908i | −0.640200 | − | 1.14991i | ||||
\(162\) | 0.168997 | − | 0.416990i | 0.0132777 | − | 0.0327618i | ||||
\(163\) | 14.5238 | − | 9.90215i | 1.13759 | − | 0.775596i | 0.160210 | − | 0.987083i | \(-0.448783\pi\) |
0.977381 | + | 0.211487i | \(0.0678306\pi\) | |||||||
\(164\) | 1.07278 | + | 4.70017i | 0.0837703 | + | 0.367022i | ||||
\(165\) | −0.160513 | + | 0.330967i | −0.0124959 | + | 0.0257657i | ||||
\(166\) | 0.648540 | 0.0503365 | ||||||||
\(167\) | −4.92005 | + | 4.56514i | −0.380725 | + | 0.353261i | −0.847201 | − | 0.531273i | \(-0.821714\pi\) |
0.466476 | + | 0.884534i | \(0.345523\pi\) | |||||||
\(168\) | −0.846216 | − | 0.350177i | −0.0652870 | − | 0.0270167i | ||||
\(169\) | 8.55314 | + | 7.93616i | 0.657934 | + | 0.610473i | ||||
\(170\) | 0.788998 | + | 0.732084i | 0.0605134 | + | 0.0561482i | ||||
\(171\) | 11.5317 | − | 19.7210i | 0.881848 | − | 1.50810i | ||||
\(172\) | 13.8239 | + | 2.08361i | 1.05406 | + | 0.158874i | ||||
\(173\) | −2.97350 | + | 0.917203i | −0.226071 | + | 0.0697336i | −0.405721 | − | 0.913997i | \(-0.632980\pi\) |
0.179650 | + | 0.983731i | \(0.442503\pi\) | |||||||
\(174\) | 0.242223 | + | 0.194264i | 0.0183629 | + | 0.0147271i | ||||
\(175\) | −1.34568 | − | 22.7036i | −0.101724 | − | 1.71623i | ||||
\(176\) | 0.168248 | − | 0.156111i | 0.0126821 | − | 0.0117673i | ||||
\(177\) | −11.2716 | − | 16.6309i | −0.847225 | − | 1.25006i | ||||
\(178\) | −0.0898734 | −0.00673629 | ||||||||
\(179\) | −0.789290 | + | 0.732354i | −0.0589943 | + | 0.0547387i | −0.709119 | − | 0.705089i | \(-0.750907\pi\) |
0.650125 | + | 0.759828i | \(0.274717\pi\) | |||||||
\(180\) | −21.0782 | − | 6.62952i | −1.57108 | − | 0.494135i | ||||
\(181\) | 3.25239 | − | 4.07837i | 0.241748 | − | 0.303143i | −0.646124 | − | 0.763232i | \(-0.723611\pi\) |
0.887873 | + | 0.460090i | \(0.152183\pi\) | |||||||
\(182\) | 0.152644 | + | 0.00238102i | 0.0113147 | + | 0.000176493i | ||||
\(183\) | 13.0944 | + | 14.1908i | 0.967967 | + | 1.04902i | ||||
\(184\) | −0.280688 | − | 1.22977i | −0.0206926 | − | 0.0906600i | ||||
\(185\) | −27.1317 | + | 4.08945i | −1.99477 | + | 0.300663i | ||||
\(186\) | 0.431283 | − | 0.341992i | 0.0316232 | − | 0.0250761i | ||||
\(187\) | 0.332531 | + | 0.0501211i | 0.0243171 | + | 0.00366521i | ||||
\(188\) | 15.2321 | − | 7.33540i | 1.11092 | − | 0.534989i | ||||
\(189\) | 9.10748 | + | 10.2982i | 0.662472 | + | 0.749087i | ||||
\(190\) | 1.26472 | + | 0.609059i | 0.0917528 | + | 0.0441858i | ||||
\(191\) | −5.35544 | − | 3.65128i | −0.387506 | − | 0.264197i | 0.353859 | − | 0.935299i | \(-0.384869\pi\) |
−0.741366 | + | 0.671101i | \(0.765822\pi\) | |||||||
\(192\) | 10.7285 | + | 8.60429i | 0.774263 | + | 0.620961i | ||||
\(193\) | 0.785321 | − | 10.4794i | 0.0565286 | − | 0.754322i | −0.894863 | − | 0.446340i | \(-0.852727\pi\) |
0.951392 | − | 0.307982i | \(-0.0996537\pi\) | |||||||
\(194\) | 0.189725 | + | 0.237908i | 0.0136215 | + | 0.0170808i | ||||
\(195\) | 7.35221 | − | 0.530552i | 0.526503 | − | 0.0379936i | ||||
\(196\) | 10.5415 | − | 9.18620i | 0.752967 | − | 0.656157i | ||||
\(197\) | 0.0871450 | 0.00620882 | 0.00310441 | − | 0.999995i | \(-0.499012\pi\) | ||||
0.00310441 | + | 0.999995i | \(0.499012\pi\) | |||||||
\(198\) | 0.00826816 | − | 0.00250045i | 0.000587593 | − | 0.000177699i | ||||
\(199\) | −8.19565 | − | 5.58770i | −0.580974 | − | 0.396102i | 0.236870 | − | 0.971541i | \(-0.423879\pi\) |
−0.817844 | + | 0.575440i | \(0.804831\pi\) | |||||||
\(200\) | 0.382272 | − | 1.67484i | 0.0270307 | − | 0.118429i | ||||
\(201\) | 7.96081 | + | 4.62555i | 0.561512 | + | 0.326261i | ||||
\(202\) | −0.0133452 | − | 0.178079i | −0.000938962 | − | 0.0125296i | ||||
\(203\) | −8.61095 | + | 3.98258i | −0.604370 | + | 0.279522i | ||||
\(204\) | −0.0558034 | + | 20.2010i | −0.00390702 | + | 1.41435i | ||||
\(205\) | 8.80005 | + | 1.32639i | 0.614622 | + | 0.0926394i | ||||
\(206\) | −0.0559791 | − | 0.746989i | −0.00390025 | − | 0.0520452i | ||||
\(207\) | −4.31549 | + | 18.4373i | −0.299947 | + | 1.28148i | ||||
\(208\) | −4.39511 | − | 1.35571i | −0.304746 | − | 0.0940016i | ||||
\(209\) | 0.433688 | − | 0.0653680i | 0.0299988 | − | 0.00452160i | ||||
\(210\) | −0.585843 | + | 0.608588i | −0.0404270 | + | 0.0419966i | ||||
\(211\) | 13.8888 | + | 2.09340i | 0.956143 | + | 0.144115i | 0.608537 | − | 0.793525i | \(-0.291757\pi\) |
0.347606 | + | 0.937641i | \(0.386995\pi\) | |||||||
\(212\) | 1.80335 | + | 0.868447i | 0.123855 | + | 0.0596452i | ||||
\(213\) | 5.47344 | + | 1.26519i | 0.375034 | + | 0.0866897i | ||||
\(214\) | −0.832917 | −0.0569370 | ||||||||
\(215\) | 12.9033 | − | 22.3491i | 0.879996 | − | 1.52420i | ||||
\(216\) | 0.442789 | + | 0.939294i | 0.0301280 | + | 0.0639109i | ||||
\(217\) | 3.48620 | + | 16.4528i | 0.236658 | + | 1.11689i | ||||
\(218\) | −0.0766593 | − | 0.0711294i | −0.00519202 | − | 0.00481749i | ||||
\(219\) | −0.106671 | + | 0.694688i | −0.00720815 | + | 0.0469427i | ||||
\(220\) | −0.154981 | − | 0.394886i | −0.0104488 | − | 0.0266232i | ||||
\(221\) | −2.46207 | − | 6.27326i | −0.165617 | − | 0.421985i | ||||
\(222\) | 0.502652 | + | 0.403128i | 0.0337358 | + | 0.0270562i | ||||
\(223\) | 0.800124 | + | 0.742406i | 0.0535803 | + | 0.0497152i | 0.706508 | − | 0.707705i | \(-0.250269\pi\) |
−0.652928 | + | 0.757420i | \(0.726460\pi\) | |||||||
\(224\) | 1.43820 | − | 0.665171i | 0.0960939 | − | 0.0444436i | ||||
\(225\) | −16.1901 | + | 20.0732i | −1.07934 | + | 1.33821i | ||||
\(226\) | −0.397277 | + | 0.688104i | −0.0264265 | + | 0.0457720i | ||||
\(227\) | −1.02235 | −0.0678556 | −0.0339278 | − | 0.999424i | \(-0.510802\pi\) | ||||
−0.0339278 | + | 0.999424i | \(0.510802\pi\) | |||||||
\(228\) | 7.69611 | + | 25.1971i | 0.509687 | + | 1.66872i | ||||
\(229\) | −12.2656 | − | 5.90680i | −0.810533 | − | 0.390332i | −0.0177547 | − | 0.999842i | \(-0.505652\pi\) |
−0.792778 | + | 0.609510i | \(0.791366\pi\) | |||||||
\(230\) | −1.15052 | − | 0.173413i | −0.0758631 | − | 0.0114345i | ||||
\(231\) | −0.0441219 | + | 0.260219i | −0.00290301 | + | 0.0171212i | ||||
\(232\) | −0.708618 | + | 0.106807i | −0.0465230 | + | 0.00701222i | ||||
\(233\) | 13.0477 | + | 4.02469i | 0.854785 | + | 0.263666i | 0.691022 | − | 0.722834i | \(-0.257161\pi\) |
0.163762 | + | 0.986500i | \(0.447637\pi\) | |||||||
\(234\) | −0.126241 | − | 0.118439i | −0.00825262 | − | 0.00774260i | ||||
\(235\) | −2.33221 | − | 31.1212i | −0.152137 | − | 2.03012i | ||||
\(236\) | 22.9110 | + | 3.45327i | 1.49138 | + | 0.224789i | ||||
\(237\) | −5.16786 | + | 2.96466i | −0.335688 | + | 0.192575i | ||||
\(238\) | 0.690500 | + | 0.345897i | 0.0447585 | + | 0.0224211i | ||||
\(239\) | −0.255322 | − | 3.40703i | −0.0165154 | − | 0.220383i | −0.999355 | − | 0.0359188i | \(-0.988564\pi\) |
0.982839 | − | 0.184464i | \(-0.0590548\pi\) | |||||||
\(240\) | 22.0760 | − | 12.6644i | 1.42500 | − | 0.817483i | ||||
\(241\) | −0.454773 | + | 1.99249i | −0.0292945 | + | 0.128347i | −0.987461 | − | 0.157865i | \(-0.949539\pi\) |
0.958166 | + | 0.286212i | \(0.0923962\pi\) | |||||||
\(242\) | −0.454228 | − | 0.309687i | −0.0291989 | − | 0.0199075i | ||||
\(243\) | 0.215302 | − | 15.5870i | 0.0138116 | − | 0.999905i | ||||
\(244\) | −22.2684 | −1.42559 | ||||||||
\(245\) | −8.67589 | − | 24.3093i | −0.554282 | − | 1.55307i | ||||
\(246\) | −0.117250 | − | 0.172999i | −0.00747557 | − | 0.0110300i | ||||
\(247\) | −5.47995 | − | 6.87164i | −0.348681 | − | 0.437232i | ||||
\(248\) | −0.0949333 | + | 1.26680i | −0.00602827 | + | 0.0804417i | ||||
\(249\) | 20.9388 | − | 8.15118i | 1.32694 | − | 0.516560i | ||||
\(250\) | −0.547729 | − | 0.373436i | −0.0346414 | − | 0.0236181i | ||||
\(251\) | 24.6975 | + | 11.8937i | 1.55889 | + | 0.750722i | 0.997067 | − | 0.0765362i | \(-0.0243861\pi\) |
0.561823 | + | 0.827258i | \(0.310100\pi\) | |||||||
\(252\) | −15.8511 | − | 0.334859i | −0.998528 | − | 0.0210941i | ||||
\(253\) | −0.327530 | + | 0.157730i | −0.0205917 | + | 0.00991642i | ||||
\(254\) | 0.648024 | + | 0.0976739i | 0.0406606 | + | 0.00612860i | ||||
\(255\) | 34.6748 | + | 13.7195i | 2.17142 | + | 0.859149i | ||||
\(256\) | −15.6240 | + | 2.35493i | −0.976497 | + | 0.147183i | ||||
\(257\) | 3.56965 | + | 15.6397i | 0.222669 | + | 0.975576i | 0.955460 | + | 0.295122i | \(0.0953602\pi\) |
−0.732791 | + | 0.680454i | \(0.761783\pi\) | |||||||
\(258\) | −0.591198 | + | 0.133220i | −0.0368064 | + | 0.00829391i | ||||
\(259\) | −17.8691 | + | 8.26450i | −1.11033 | + | 0.513531i | ||||
\(260\) | −5.30031 | + | 6.64638i | −0.328711 | + | 0.412191i | ||||
\(261\) | 10.2620 | + | 3.22761i | 0.635203 | + | 0.199784i | ||||
\(262\) | −0.120520 | + | 0.111826i | −0.00744575 | + | 0.00690865i | ||||
\(263\) | 3.96728 | 0.244633 | 0.122317 | − | 0.992491i | \(-0.460968\pi\) | ||||
0.122317 | + | 0.992491i | \(0.460968\pi\) | |||||||
\(264\) | −0.00869954 | + | 0.0179378i | −0.000535420 | + | 0.00110400i | ||||
\(265\) | 2.70849 | − | 2.51311i | 0.166381 | − | 0.154379i | ||||
\(266\) | 0.993512 | + | 0.165635i | 0.0609162 | + | 0.0101557i | ||||
\(267\) | −2.90165 | + | 1.12957i | −0.177578 | + | 0.0691287i | ||||
\(268\) | −10.1464 | + | 3.12975i | −0.619790 | + | 0.191180i | ||||
\(269\) | −18.0239 | − | 2.71666i | −1.09893 | − | 0.165638i | −0.425553 | − | 0.904933i | \(-0.639920\pi\) |
−0.673381 | + | 0.739296i | \(0.735159\pi\) | |||||||
\(270\) | 0.955732 | − | 0.0636621i | 0.0581640 | − | 0.00387435i | ||||
\(271\) | −1.84662 | − | 1.71341i | −0.112174 | − | 0.104082i | 0.622092 | − | 0.782944i | \(-0.286283\pi\) |
−0.734266 | + | 0.678862i | \(0.762473\pi\) | |||||||
\(272\) | −17.0565 | − | 15.8261i | −1.03420 | − | 0.959600i | ||||
\(273\) | 4.95818 | − | 1.84163i | 0.300082 | − | 0.111460i | ||||
\(274\) | 0.195066 | − | 0.180995i | 0.0117844 | − | 0.0109343i | ||||
\(275\) | −0.495099 | −0.0298556 | ||||||||
\(276\) | −12.2517 | − | 18.0770i | −0.737464 | − | 1.08811i | ||||
\(277\) | 4.51436 | + | 19.7787i | 0.271242 | + | 1.18839i | 0.908549 | + | 0.417778i | \(0.137191\pi\) |
−0.637308 | + | 0.770609i | \(0.719952\pi\) | |||||||
\(278\) | 0.432412 | − | 0.294813i | 0.0259343 | − | 0.0176817i | ||||
\(279\) | 9.62607 | − | 16.4621i | 0.576297 | − | 0.985561i | ||||
\(280\) | −0.115356 | − | 1.94622i | −0.00689383 | − | 0.116309i | ||||
\(281\) | −1.14061 | + | 0.171920i | −0.0680433 | + | 0.0102559i | −0.182976 | − | 0.983117i | \(-0.558573\pi\) |
0.114932 | + | 0.993373i | \(0.463335\pi\) | |||||||
\(282\) | −0.499965 | + | 0.535858i | −0.0297725 | + | 0.0319099i | ||||
\(283\) | 26.7412 | − | 4.03059i | 1.58960 | − | 0.239594i | 0.706130 | − | 0.708082i | \(-0.250439\pi\) |
0.883469 | + | 0.468489i | \(0.155201\pi\) | |||||||
\(284\) | −5.35298 | + | 3.64960i | −0.317641 | + | 0.216564i | ||||
\(285\) | 48.4878 | + | 3.76838i | 2.87217 | + | 0.223220i | ||||
\(286\) | 0.000248349 | − | 0.00331399i | 1.46852e−5 | − | 0.000195960i | ||||
\(287\) | 6.32838 | − | 0.853130i | 0.373552 | − | 0.0503587i | ||||
\(288\) | −1.71396 | − | 0.539076i | −0.100996 | − | 0.0317653i | ||||
\(289\) | 1.27728 | − | 17.0442i | 0.0751344 | − | 1.00260i | ||||
\(290\) | −0.147089 | + | 0.644441i | −0.00863739 | + | 0.0378429i | ||||
\(291\) | 9.11561 | + | 5.29653i | 0.534366 | + | 0.310488i | ||||
\(292\) | −0.505366 | − | 0.633709i | −0.0295743 | − | 0.0370850i | ||||
\(293\) | 4.12819 | + | 7.15024i | 0.241172 | + | 0.417721i | 0.961048 | − | 0.276381i | \(-0.0891350\pi\) |
−0.719877 | + | 0.694102i | \(0.755802\pi\) | |||||||
\(294\) | −0.281378 | + | 0.536860i | −0.0164103 | + | 0.0313103i | ||||
\(295\) | 21.3852 | − | 37.0402i | 1.24509 | − | 2.15657i | ||||
\(296\) | −1.47050 | + | 0.221642i | −0.0854709 | + | 0.0128827i | ||||
\(297\) | 0.235519 | − | 0.184648i | 0.0136662 | − | 0.0107144i | ||||
\(298\) | −0.867732 | + | 0.267660i | −0.0502664 | + | 0.0155051i | ||||
\(299\) | 6.01920 | + | 4.10382i | 0.348099 | + | 0.237330i | ||||
\(300\) | −4.35140 | − | 29.4209i | −0.251228 | − | 1.69862i | ||||
\(301\) | 4.40148 | − | 17.9863i | 0.253697 | − | 1.03671i | ||||
\(302\) | 0.187226 | + | 0.127648i | 0.0107736 | + | 0.00734533i | ||||
\(303\) | −2.66904 | − | 5.58172i | −0.153333 | − | 0.320661i | ||||
\(304\) | −27.3407 | − | 13.1666i | −1.56810 | − | 0.755156i | ||||
\(305\) | −15.0179 | + | 38.2651i | −0.859924 | + | 2.19105i | ||||
\(306\) | −0.315419 | − | 0.816918i | −0.0180313 | − | 0.0467001i | ||||
\(307\) | 7.02713 | + | 8.81174i | 0.401060 | + | 0.502913i | 0.940820 | − | 0.338906i | \(-0.110057\pi\) |
−0.539761 | + | 0.841818i | \(0.681485\pi\) | |||||||
\(308\) | −0.186045 | − | 0.240907i | −0.0106009 | − | 0.0137270i | ||||
\(309\) | −11.1959 | − | 23.4137i | −0.636911 | − | 1.33196i | ||||
\(310\) | 1.05573 | + | 0.508413i | 0.0599615 | + | 0.0288759i | ||||
\(311\) | −32.6501 | − | 10.0712i | −1.85142 | − | 0.571086i | −0.998823 | − | 0.0485107i | \(-0.984552\pi\) |
−0.852593 | − | 0.522575i | \(-0.824971\pi\) | |||||||
\(312\) | 0.398478 | − | 0.0287551i | 0.0225594 | − | 0.00162793i | ||||
\(313\) | 3.44657 | + | 5.96963i | 0.194812 | + | 0.337423i | 0.946839 | − | 0.321709i | \(-0.104257\pi\) |
−0.752027 | + | 0.659132i | \(0.770924\pi\) | |||||||
\(314\) | 0.0220264 | + | 0.0965038i | 0.00124302 | + | 0.00544602i | ||||
\(315\) | −11.2655 | + | 27.0120i | −0.634738 | + | 1.52196i | ||||
\(316\) | 1.52893 | − | 6.69867i | 0.0860089 | − | 0.376829i | ||||
\(317\) | 6.66226 | − | 2.05504i | 0.374190 | − | 0.115422i | −0.101955 | − | 0.994789i | \(-0.532510\pi\) |
0.476145 | + | 0.879367i | \(0.342034\pi\) | |||||||
\(318\) | −0.0865053 | − | 0.00672303i | −0.00485098 | − | 0.000377009i | ||||
\(319\) | 0.0754533 | + | 0.192252i | 0.00422457 | + | 0.0107640i | ||||
\(320\) | −6.51485 | + | 28.5434i | −0.364191 | + | 1.59563i | ||||
\(321\) | −26.8915 | + | 10.4685i | −1.50094 | + | 0.584295i | ||||
\(322\) | −0.827374 | + | 0.111538i | −0.0461077 | + | 0.00621579i | ||||
\(323\) | −9.89391 | − | 43.3480i | −0.550512 | − | 2.41195i | ||||
\(324\) | 13.0425 | + | 12.3727i | 0.724585 | + | 0.687371i | ||||
\(325\) | 4.96082 | + | 8.59239i | 0.275177 | + | 0.476620i | ||||
\(326\) | −0.195547 | − | 0.856748i | −0.0108304 | − | 0.0474509i | ||||
\(327\) | −3.36901 | − | 1.33299i | −0.186307 | − | 0.0737145i | ||||
\(328\) | 0.476948 | + | 0.0718884i | 0.0263351 | + | 0.00396937i | ||||
\(329\) | −7.85498 | − | 20.9701i | −0.433059 | − | 1.15612i | ||||
\(330\) | 0.0124705 | + | 0.0135147i | 0.000686478 | + | 0.000743958i | ||||
\(331\) | 15.4769 | − | 14.3605i | 0.850688 | − | 0.789323i | −0.128621 | − | 0.991694i | \(-0.541055\pi\) |
0.979309 | + | 0.202371i | \(0.0648647\pi\) | |||||||
\(332\) | −9.46708 | + | 24.1217i | −0.519573 | + | 1.32385i | ||||
\(333\) | 21.2953 | + | 6.69781i | 1.16698 | + | 0.367038i | ||||
\(334\) | 0.122586 | + | 0.312343i | 0.00670758 | + | 0.0170906i | ||||
\(335\) | −1.46476 | + | 19.5458i | −0.0800282 | + | 1.06790i | ||||
\(336\) | 12.6647 | − | 13.1564i | 0.690917 | − | 0.717742i | ||||
\(337\) | −0.328199 | − | 4.37951i | −0.0178781 | − | 0.238567i | −0.998983 | − | 0.0450901i | \(-0.985643\pi\) |
0.981105 | − | 0.193477i | \(-0.0619765\pi\) | |||||||
\(338\) | 0.525542 | − | 0.253088i | 0.0285857 | − | 0.0137661i | ||||
\(339\) | −4.17804 | + | 27.2093i | −0.226920 | + | 1.47780i | ||||
\(340\) | −38.7464 | + | 18.6593i | −2.10132 | + | 1.01194i | ||||
\(341\) | 0.362022 | − | 0.0545660i | 0.0196046 | − | 0.00295491i | ||||
\(342\) | −0.707135 | − | 0.896839i | −0.0382375 | − | 0.0484955i | ||||
\(343\) | −10.8573 | − | 15.0040i | −0.586237 | − | 0.810139i | ||||
\(344\) | 0.699336 | − | 1.21129i | 0.0377057 | − | 0.0653082i | ||||
\(345\) | −39.3252 | + | 8.86151i | −2.11720 | + | 0.477088i | ||||
\(346\) | −0.0116253 | + | 0.155129i | −0.000624982 | + | 0.00833981i | ||||
\(347\) | 11.4252 | + | 10.6011i | 0.613338 | + | 0.569095i | 0.924462 | − | 0.381275i | \(-0.124515\pi\) |
−0.311123 | + | 0.950370i | \(0.600705\pi\) | |||||||
\(348\) | −10.7613 | + | 6.17345i | −0.576865 | + | 0.330932i | ||||
\(349\) | 17.5732 | − | 11.9812i | 0.940670 | − | 0.641338i | 0.00719231 | − | 0.999974i | \(-0.497711\pi\) |
0.933477 | + | 0.358636i | \(0.116758\pi\) | |||||||
\(350\) | −1.08113 | − | 0.352043i | −0.0577890 | − | 0.0188175i | ||||
\(351\) | −5.56441 | − | 2.23726i | −0.297006 | − | 0.119416i | ||||
\(352\) | −0.0126022 | − | 0.0321099i | −0.000671700 | − | 0.00171146i | ||||
\(353\) | −25.0625 | − | 12.0695i | −1.33394 | − | 0.642393i | −0.375273 | − | 0.926914i | \(-0.622451\pi\) |
−0.958670 | + | 0.284521i | \(0.908165\pi\) | |||||||
\(354\) | −0.979819 | + | 0.220791i | −0.0520768 | + | 0.0117349i | ||||
\(355\) | 2.66123 | + | 11.6596i | 0.141243 | + | 0.618828i | ||||
\(356\) | 1.31193 | − | 3.34274i | 0.0695320 | − | 0.177165i | ||||
\(357\) | 26.6409 | + | 2.48906i | 1.40998 | + | 0.131735i | ||||
\(358\) | 0.0196656 | + | 0.0501071i | 0.00103936 | + | 0.00264824i | ||||
\(359\) | −19.2710 | + | 13.1387i | −1.01708 | + | 0.693436i | −0.952520 | − | 0.304477i | \(-0.901518\pi\) |
−0.0645646 | + | 0.997914i | \(0.520566\pi\) | |||||||
\(360\) | −1.38786 | + | 1.72074i | −0.0731468 | + | 0.0906907i | ||||
\(361\) | −19.4942 | − | 33.7650i | −1.02601 | − | 1.77711i | ||||
\(362\) | −0.130392 | − | 0.225845i | −0.00685323 | − | 0.0118701i | ||||
\(363\) | −18.5575 | − | 4.28959i | −0.974016 | − | 0.225145i | ||||
\(364\) | −2.31678 | + | 5.64265i | −0.121432 | + | 0.295755i | ||||
\(365\) | −1.42976 | + | 0.441022i | −0.0748370 | + | 0.0230842i | ||||
\(366\) | 0.899559 | − | 0.350186i | 0.0470207 | − | 0.0183045i | ||||
\(367\) | 1.59656 | − | 2.00203i | 0.0833399 | − | 0.104505i | −0.738413 | − | 0.674348i | \(-0.764425\pi\) |
0.821753 | + | 0.569843i | \(0.192996\pi\) | |||||||
\(368\) | 24.8719 | + | 3.74883i | 1.29654 | + | 0.195421i | ||||
\(369\) | −5.95985 | − | 4.11177i | −0.310257 | − | 0.214050i | ||||
\(370\) | −0.305234 | + | 1.33732i | −0.0158684 | + | 0.0695239i | ||||
\(371\) | 1.36122 | − | 2.27500i | 0.0706708 | − | 0.118112i | ||||
\(372\) | 6.42434 | + | 21.0333i | 0.333087 | + | 1.09053i | ||||
\(373\) | −8.94687 | −0.463251 | −0.231626 | − | 0.972805i | \(-0.574404\pi\) | ||||
−0.231626 | + | 0.972805i | \(0.574404\pi\) | |||||||
\(374\) | 0.00840596 | − | 0.0145595i | 0.000434662 | − | 0.000752856i | ||||
\(375\) | −22.3775 | − | 5.17260i | −1.15557 | − | 0.267112i | ||||
\(376\) | −0.126402 | − | 1.68672i | −0.00651869 | − | 0.0869859i | ||||
\(377\) | 2.58048 | − | 3.23582i | 0.132901 | − | 0.166653i | ||||
\(378\) | 0.645591 | − | 0.235743i | 0.0332056 | − | 0.0121253i | ||||
\(379\) | −6.90075 | − | 8.65327i | −0.354468 | − | 0.444488i | 0.572345 | − | 0.820013i | \(-0.306034\pi\) |
−0.926812 | + | 0.375525i | \(0.877463\pi\) | |||||||
\(380\) | −41.1151 | + | 38.1492i | −2.10916 | + | 1.95702i | ||||
\(381\) | 22.1497 | − | 4.99119i | 1.13476 | − | 0.255706i | ||||
\(382\) | −0.267733 | + | 0.182537i | −0.0136984 | + | 0.00933942i | ||||
\(383\) | −15.6349 | + | 19.6055i | −0.798904 | + | 1.00179i | 0.200850 | + | 0.979622i | \(0.435630\pi\) |
−0.999754 | + | 0.0221721i | \(0.992942\pi\) | |||||||
\(384\) | 2.39596 | − | 1.37450i | 0.122269 | − | 0.0701421i | ||||
\(385\) | −0.539434 | + | 0.157222i | −0.0274921 | + | 0.00801280i | ||||
\(386\) | −0.473334 | − | 0.227946i | −0.0240921 | − | 0.0116021i | ||||
\(387\) | −17.4130 | + | 11.7316i | −0.885153 | + | 0.596351i | ||||
\(388\) | −11.6182 | + | 3.58375i | −0.589826 | + | 0.181937i | ||||
\(389\) | 11.3517 | − | 5.46670i | 0.575555 | − | 0.277173i | −0.123378 | − | 0.992360i | \(-0.539373\pi\) |
0.698933 | + | 0.715187i | \(0.253658\pi\) | |||||||
\(390\) | 0.109593 | − | 0.351839i | 0.00554947 | − | 0.0178161i | ||||
\(391\) | 18.4269 | + | 31.9164i | 0.931890 | + | 1.61408i | ||||
\(392\) | −0.470219 | − | 1.31753i | −0.0237496 | − | 0.0665451i | ||||
\(393\) | −2.48562 | + | 5.12518i | −0.125383 | + | 0.258531i | ||||
\(394\) | 0.00159165 | − | 0.00405546i | 8.01861e−5 | − | 0.000204311i | ||||
\(395\) | −10.4796 | − | 7.14485i | −0.527284 | − | 0.359496i | ||||
\(396\) | −0.0276933 | + | 0.344025i | −0.00139164 | + | 0.0172879i | ||||
\(397\) | −0.262914 | + | 3.50834i | −0.0131953 | + | 0.176079i | 0.986712 | + | 0.162478i | \(0.0519485\pi\) |
−0.999908 | + | 0.0136011i | \(0.995670\pi\) | |||||||
\(398\) | −0.409723 | + | 0.279344i | −0.0205375 | + | 0.0140023i | ||||
\(399\) | 34.1583 | − | 7.13928i | 1.71005 | − | 0.357411i | ||||
\(400\) | 28.3036 | + | 19.2971i | 1.41518 | + | 0.964854i | ||||
\(401\) | −14.1096 | + | 17.6929i | −0.704599 | + | 0.883539i | −0.997358 | − | 0.0726471i | \(-0.976855\pi\) |
0.292759 | + | 0.956186i | \(0.405427\pi\) | |||||||
\(402\) | 0.360658 | − | 0.285989i | 0.0179880 | − | 0.0142638i | ||||
\(403\) | −4.57439 | − | 5.73611i | −0.227867 | − | 0.285736i | ||||
\(404\) | 6.81825 | + | 2.10315i | 0.339220 | + | 0.104636i | ||||
\(405\) | 30.0566 | − | 14.0675i | 1.49352 | − | 0.699020i | ||||
\(406\) | 0.0280632 | + | 0.473466i | 0.00139275 | + | 0.0234977i | ||||
\(407\) | 0.156578 | + | 0.398954i | 0.00776127 | + | 0.0197754i | ||||
\(408\) | 1.87932 | + | 0.743575i | 0.0930400 | + | 0.0368124i | ||||
\(409\) | 15.8786 | + | 4.89790i | 0.785147 | + | 0.242186i | 0.661306 | − | 0.750116i | \(-0.270003\pi\) |
0.123841 | + | 0.992302i | \(0.460479\pi\) | |||||||
\(410\) | 0.222454 | − | 0.385301i | 0.0109862 | − | 0.0190287i | ||||
\(411\) | 4.02306 | − | 8.29528i | 0.198443 | − | 0.409176i | ||||
\(412\) | 28.6006 | + | 8.82210i | 1.40905 | + | 0.434634i | ||||
\(413\) | 7.29477 | − | 29.8094i | 0.358952 | − | 1.46683i | ||||
\(414\) | 0.779193 | + | 0.537574i | 0.0382952 | + | 0.0264203i | ||||
\(415\) | 35.0650 | + | 32.5356i | 1.72127 | + | 1.59711i | ||||
\(416\) | −0.430992 | + | 0.540447i | −0.0211311 | + | 0.0264976i | ||||
\(417\) | 10.2555 | − | 14.9531i | 0.502213 | − | 0.732257i | ||||
\(418\) | 0.00487902 | − | 0.0213764i | 0.000238641 | − | 0.00104555i | ||||
\(419\) | 0.606834 | − | 0.187184i | 0.0296458 | − | 0.00914451i | −0.279897 | − | 0.960030i | \(-0.590300\pi\) |
0.309543 | + | 0.950886i | \(0.399824\pi\) | |||||||
\(420\) | −14.0839 | − | 30.6737i | −0.687224 | − | 1.49672i | ||||
\(421\) | −19.4021 | − | 5.98476i | −0.945601 | − | 0.291679i | −0.216653 | − | 0.976249i | \(-0.569514\pi\) |
−0.728948 | + | 0.684569i | \(0.759990\pi\) | |||||||
\(422\) | 0.351090 | − | 0.608106i | 0.0170908 | − | 0.0296021i | ||||
\(423\) | −9.40693 | + | 23.5845i | −0.457380 | + | 1.14672i | ||||
\(424\) | 0.146796 | − | 0.136206i | 0.00712902 | − | 0.00661477i | ||||
\(425\) | 3.75084 | + | 50.0515i | 0.181942 | + | 2.42785i | ||||
\(426\) | 0.158847 | − | 0.231609i | 0.00769617 | − | 0.0112215i | ||||
\(427\) | −2.66265 | + | 29.3748i | −0.128855 | + | 1.42155i | ||||
\(428\) | 12.1585 | − | 30.9794i | 0.587704 | − | 1.49744i | ||||
\(429\) | −0.0336337 | − | 0.110117i | −0.00162385 | − | 0.00531649i | ||||
\(430\) | −0.804388 | − | 1.00867i | −0.0387911 | − | 0.0486424i | ||||
\(431\) | −0.199833 | − | 2.66659i | −0.00962562 | − | 0.128445i | 0.990321 | − | 0.138797i | \(-0.0443237\pi\) |
−0.999946 | + | 0.0103525i | \(0.996705\pi\) | |||||||
\(432\) | −20.6609 | + | 1.37624i | −0.994050 | + | 0.0662145i | ||||
\(433\) | −24.3040 | + | 11.7042i | −1.16798 | + | 0.562467i | −0.914386 | − | 0.404844i | \(-0.867326\pi\) |
−0.253590 | + | 0.967312i | \(0.581611\pi\) | |||||||
\(434\) | 0.829336 | + | 0.138264i | 0.0398094 | + | 0.00663687i | ||||
\(435\) | 3.35073 | + | 22.6551i | 0.160655 | + | 1.08623i | ||||
\(436\) | 3.76461 | − | 1.81294i | 0.180292 | − | 0.0868242i | ||||
\(437\) | 35.2341 | + | 32.6924i | 1.68547 | + | 1.56389i | ||||
\(438\) | 0.0303804 | + | 0.0176522i | 0.00145163 | + | 0.000843454i | ||||
\(439\) | 12.6959 | − | 32.3485i | 0.605941 | − | 1.54391i | −0.217232 | − | 0.976120i | \(-0.569703\pi\) |
0.823172 | − | 0.567792i | \(-0.192202\pi\) | |||||||
\(440\) | −0.0424413 | −0.00202331 | ||||||||
\(441\) | −2.33705 | + | 20.8696i | −0.111288 | + | 0.993788i | ||||
\(442\) | −0.336906 | −0.0160250 | ||||||||
\(443\) | 5.39695 | − | 13.7512i | 0.256417 | − | 0.653340i | −0.743464 | − | 0.668776i | \(-0.766818\pi\) |
0.999881 | + | 0.0154362i | \(0.00491369\pi\) | |||||||
\(444\) | −22.3314 | + | 12.8109i | −1.05980 | + | 0.607979i | ||||
\(445\) | −4.85924 | − | 4.50871i | −0.230350 | − | 0.213733i | ||||
\(446\) | 0.0491630 | − | 0.0236757i | 0.00232794 | − | 0.00112108i | ||||
\(447\) | −24.6515 | + | 19.5477i | −1.16598 | + | 0.924576i | ||||
\(448\) | 1.24297 | + | 20.9707i | 0.0587248 | + | 0.990771i | ||||
\(449\) | 11.3863 | − | 5.48336i | 0.537354 | − | 0.258776i | −0.145465 | − | 0.989363i | \(-0.546468\pi\) |
0.682819 | + | 0.730587i | \(0.260754\pi\) | |||||||
\(450\) | 0.638443 | + | 1.12006i | 0.0300965 | + | 0.0528002i | ||||
\(451\) | −0.0103881 | − | 0.138619i | −0.000489155 | − | 0.00652732i | ||||
\(452\) | −19.7940 | − | 24.8209i | −0.931030 | − | 1.16748i | ||||
\(453\) | 7.64911 | + | 1.76810i | 0.359386 | + | 0.0830727i | ||||
\(454\) | −0.0186725 | + | 0.0475769i | −0.000876346 | + | 0.00223289i | ||||
\(455\) | 8.13363 | + | 7.78647i | 0.381310 | + | 0.365036i | ||||
\(456\) | 2.62796 | + | 0.204240i | 0.123066 | + | 0.00956443i | ||||
\(457\) | −1.67412 | − | 22.3396i | −0.0783121 | − | 1.04500i | −0.888514 | − | 0.458850i | \(-0.848261\pi\) |
0.810202 | − | 0.586151i | \(-0.199358\pi\) | |||||||
\(458\) | −0.498907 | + | 0.462918i | −0.0233124 | + | 0.0216307i | ||||
\(459\) | −20.4511 | − | 22.4107i | −0.954574 | − | 1.04604i | ||||
\(460\) | 23.2447 | − | 40.2609i | 1.08379 | − | 1.87718i | ||||
\(461\) | −24.6749 | − | 7.61120i | −1.14922 | − | 0.354489i | −0.339102 | − | 0.940750i | \(-0.610123\pi\) |
−0.810123 | + | 0.586261i | \(0.800599\pi\) | |||||||
\(462\) | 0.0113039 | + | 0.00680604i | 0.000525907 | + | 0.000316646i | ||||
\(463\) | −6.06415 | + | 1.87054i | −0.281825 | + | 0.0869315i | −0.432445 | − | 0.901660i | \(-0.642349\pi\) |
0.150620 | + | 0.988592i | \(0.451873\pi\) | |||||||
\(464\) | 3.17977 | − | 13.9315i | 0.147617 | − | 0.646752i | ||||
\(465\) | 40.4753 | + | 3.14566i | 1.87700 | + | 0.145877i | ||||
\(466\) | 0.425605 | − | 0.533692i | 0.0197158 | − | 0.0247228i | ||||
\(467\) | 4.37534 | + | 4.05972i | 0.202466 | + | 0.187861i | 0.774889 | − | 0.632097i | \(-0.217806\pi\) |
−0.572422 | + | 0.819959i | \(0.693996\pi\) | |||||||
\(468\) | 6.24801 | − | 2.96647i | 0.288814 | − | 0.137125i | ||||
\(469\) | 2.91531 | + | 13.7586i | 0.134616 | + | 0.635311i | ||||
\(470\) | −1.49088 | − | 0.459876i | −0.0687692 | − | 0.0212125i | ||||
\(471\) | 1.92405 | + | 2.83888i | 0.0886555 | + | 0.130809i | ||||
\(472\) | 1.15904 | − | 2.00752i | 0.0533492 | − | 0.0924036i | ||||
\(473\) | −0.385185 | − | 0.118814i | −0.0177108 | − | 0.00546307i | ||||
\(474\) | 0.0435783 | + | 0.294644i | 0.00200162 | + | 0.0135334i | ||||
\(475\) | 23.9153 | + | 60.9353i | 1.09731 | + | 2.79590i | ||||
\(476\) | −22.9448 | + | 20.6331i | −1.05167 | + | 0.945718i | ||||
\(477\) | −2.87741 | + | 0.870182i | −0.131747 | + | 0.0398429i | ||||
\(478\) | −0.163216 | − | 0.0503454i | −0.00746532 | − | 0.00230275i | ||||
\(479\) | −6.88289 | − | 8.63087i | −0.314487 | − | 0.394354i | 0.599316 | − | 0.800513i | \(-0.295439\pi\) |
−0.913803 | + | 0.406159i | \(0.866868\pi\) | |||||||
\(480\) | −0.559639 | − | 3.78385i | −0.0255439 | − | 0.172709i | ||||
\(481\) | 5.35491 | − | 6.71485i | 0.244163 | − | 0.306171i | ||||
\(482\) | 0.0844181 | + | 0.0575553i | 0.00384514 | + | 0.00262157i | ||||
\(483\) | −25.3107 | + | 14.0000i | −1.15168 | + | 0.637021i | ||||
\(484\) | 18.1491 | − | 12.3738i | 0.824957 | − | 0.562446i | ||||
\(485\) | −1.67723 | + | 22.3811i | −0.0761593 | + | 1.01627i | ||||
\(486\) | −0.721437 | − | 0.294706i | −0.0327250 | − | 0.0133681i | ||||
\(487\) | 8.43582 | + | 5.75145i | 0.382264 | + | 0.260623i | 0.739172 | − | 0.673516i | \(-0.235217\pi\) |
−0.356909 | + | 0.934139i | \(0.616169\pi\) | |||||||
\(488\) | −0.813947 | + | 2.07390i | −0.0368457 | + | 0.0938812i | ||||
\(489\) | −17.0815 | − | 25.2032i | −0.772451 | − | 1.13973i | ||||
\(490\) | −1.28974 | − | 0.0402460i | −0.0582645 | − | 0.00181813i | ||||
\(491\) | 7.94379 | + | 13.7590i | 0.358498 | + | 0.620937i | 0.987710 | − | 0.156297i | \(-0.0499556\pi\) |
−0.629212 | + | 0.777234i | \(0.716622\pi\) | |||||||
\(492\) | 8.14604 | − | 1.83562i | 0.367252 | − | 0.0827561i | ||||
\(493\) | 18.8639 | − | 9.08436i | 0.849586 | − | 0.409139i | ||||
\(494\) | −0.419872 | + | 0.129513i | −0.0188910 | + | 0.00582709i | ||||
\(495\) | 0.572481 | + | 0.279599i | 0.0257311 | + | 0.0125670i | ||||
\(496\) | −22.8227 | − | 10.9908i | −1.02477 | − | 0.493503i | ||||
\(497\) | 4.17421 | + | 7.49762i | 0.187239 | + | 0.336314i | ||||
\(498\) | 0.00310302 | − | 1.12330i | 0.000139050 | − | 0.0503363i | ||||
\(499\) | −15.4487 | + | 19.3721i | −0.691581 | + | 0.867215i | −0.996363 | − | 0.0852072i | \(-0.972845\pi\) |
0.304783 | + | 0.952422i | \(0.401416\pi\) | |||||||
\(500\) | 21.8850 | − | 14.9209i | 0.978727 | − | 0.667285i | ||||
\(501\) | 7.88348 | + | 8.54358i | 0.352208 | + | 0.381699i | ||||
\(502\) | 1.00458 | − | 0.932112i | 0.0448365 | − | 0.0416022i | ||||
\(503\) | −19.8403 | − | 24.8790i | −0.884635 | − | 1.10930i | −0.993340 | − | 0.115224i | \(-0.963242\pi\) |
0.108704 | − | 0.994074i | \(-0.465330\pi\) | |||||||
\(504\) | −0.610571 | + | 1.46401i | −0.0271970 | + | 0.0652121i | ||||
\(505\) | 8.21221 | − | 10.2978i | 0.365439 | − | 0.458246i | ||||
\(506\) | 0.00135814 | + | 0.0181231i | 6.03766e−5 | + | 0.000805670i | ||||
\(507\) | 13.7867 | − | 14.7764i | 0.612289 | − | 0.656245i | ||||
\(508\) | −13.0924 | + | 22.6767i | −0.580881 | + | 1.00612i | ||||
\(509\) | 9.02335 | 0.399953 | 0.199976 | − | 0.979801i | \(-0.435913\pi\) | ||||
0.199976 | + | 0.979801i | \(0.435913\pi\) | |||||||
\(510\) | 1.27178 | − | 1.36308i | 0.0563152 | − | 0.0603581i | ||||
\(511\) | −0.896367 | + | 0.590867i | −0.0396530 | + | 0.0261384i | ||||
\(512\) | −0.885511 | + | 3.87968i | −0.0391344 | + | 0.171459i | ||||
\(513\) | −34.1024 | − | 20.0677i | −1.50566 | − | 0.886010i | ||||
\(514\) | 0.793019 | + | 0.119528i | 0.0349786 | + | 0.00527217i | ||||
\(515\) | 34.4478 | − | 43.1962i | 1.51795 | − | 1.90345i | ||||
\(516\) | 3.67505 | − | 23.9336i | 0.161785 | − | 1.05362i | ||||
\(517\) | −0.465814 | + | 0.143684i | −0.0204865 | + | 0.00631924i | ||||
\(518\) | 0.0582356 | + | 0.982519i | 0.00255873 | + | 0.0431694i | ||||
\(519\) | 1.57441 | + | 5.15462i | 0.0691089 | + | 0.226263i | ||||
\(520\) | 0.425256 | + | 0.736564i | 0.0186487 | + | 0.0323005i | ||||
\(521\) | 21.6450 | + | 37.4903i | 0.948285 | + | 1.64248i | 0.749036 | + | 0.662530i | \(0.230517\pi\) |
0.199250 | + | 0.979949i | \(0.436150\pi\) | |||||||
\(522\) | 0.337632 | − | 0.418612i | 0.0147778 | − | 0.0183221i | ||||
\(523\) | −25.9311 | + | 17.6795i | −1.13389 | + | 0.773072i | −0.976724 | − | 0.214501i | \(-0.931188\pi\) |
−0.157164 | + | 0.987572i | \(0.550235\pi\) | |||||||
\(524\) | −2.39996 | − | 6.11499i | −0.104843 | − | 0.267135i | ||||
\(525\) | −39.3301 | + | 2.22215i | −1.71650 | + | 0.0969827i | ||||
\(526\) | 0.0724600 | − | 0.184625i | 0.00315941 | − | 0.00805003i | ||||
\(527\) | −8.25895 | − | 36.1848i | −0.359766 | − | 1.57624i | ||||
\(528\) | −0.269586 | − | 0.292159i | −0.0117322 | − | 0.0127146i | ||||
\(529\) | −15.1719 | − | 7.30640i | −0.659648 | − | 0.317670i | ||||
\(530\) | −0.0674834 | − | 0.171945i | −0.00293129 | − | 0.00746881i | ||||
\(531\) | −28.8594 | + | 19.4433i | −1.25239 | + | 0.843768i | ||||
\(532\) | −20.6634 | + | 34.5347i | −0.895872 | + | 1.49727i | ||||
\(533\) | −2.30163 | + | 1.56923i | −0.0996948 | + | 0.0679707i | ||||
\(534\) | −0.000430010 | 0.155665i | −1.86084e−5 | 0.00673627i | ||||||
\(535\) | −45.0338 | − | 41.7853i | −1.94698 | − | 1.80653i | ||||
\(536\) | −0.0793874 | + | 1.05935i | −0.00342901 | + | 0.0457570i | ||||
\(537\) | 1.26469 | + | 1.37059i | 0.0545755 | + | 0.0591453i | ||||
\(538\) | −0.455619 | + | 0.789156i | −0.0196431 | + | 0.0340229i | ||||
\(539\) | −0.340032 | + | 0.216611i | −0.0146462 | + | 0.00933009i | ||||
\(540\) | −11.5835 | + | 36.4767i | −0.498473 | + | 1.56971i | ||||
\(541\) | 9.78665 | − | 1.47510i | 0.420761 | − | 0.0634195i | 0.0647505 | − | 0.997901i | \(-0.479375\pi\) |
0.356010 | + | 0.934482i | \(0.384137\pi\) | |||||||
\(542\) | −0.113464 | + | 0.0546415i | −0.00487370 | + | 0.00234705i | ||||
\(543\) | −7.04835 | − | 5.65280i | −0.302474 | − | 0.242585i | ||||
\(544\) | −3.15065 | + | 1.51727i | −0.135083 | + | 0.0650525i | ||||
\(545\) | −0.576405 | − | 7.69159i | −0.0246905 | − | 0.329472i | ||||
\(546\) | 0.00485438 | − | 0.264374i | 0.000207748 | − | 0.0113142i | ||||
\(547\) | −1.13883 | + | 15.1966i | −0.0486927 | + | 0.649759i | 0.918452 | + | 0.395532i | \(0.129440\pi\) |
−0.967145 | + | 0.254226i | \(0.918179\pi\) | |||||||
\(548\) | 3.88442 | + | 9.89734i | 0.165934 | + | 0.422793i | ||||
\(549\) | 24.6418 | − | 22.6122i | 1.05169 | − | 0.965065i | ||||
\(550\) | −0.00904267 | + | 0.0230403i | −0.000385581 | + | 0.000982444i | ||||
\(551\) | 20.0171 | − | 18.5731i | 0.852756 | − | 0.791242i | ||||
\(552\) | −2.13136 | + | 0.480279i | −0.0907168 | + | 0.0204420i | ||||
\(553\) | −8.65355 | − | 2.81781i | −0.367986 | − | 0.119825i | ||||
\(554\) | 1.00289 | + | 0.151162i | 0.0426088 | + | 0.00642224i | ||||
\(555\) | 6.95330 | + | 47.0130i | 0.295151 | + | 1.99559i | ||||
\(556\) | 4.65311 | + | 20.3866i | 0.197336 | + | 0.864585i | ||||
\(557\) | 0.802785 | + | 1.39046i | 0.0340151 | + | 0.0589159i | 0.882532 | − | 0.470253i | \(-0.155837\pi\) |
−0.848517 | + | 0.529169i | \(0.822504\pi\) | |||||||
\(558\) | −0.590282 | − | 0.748637i | −0.0249886 | − | 0.0316924i | ||||
\(559\) | 1.79750 | + | 7.87535i | 0.0760260 | + | 0.333092i | ||||
\(560\) | 36.9661 | + | 12.0371i | 1.56210 | + | 0.508659i | ||||
\(561\) | 0.0884029 | − | 0.575719i | 0.00373237 | − | 0.0243069i | ||||
\(562\) | −0.0128320 | + | 0.0562206i | −0.000541284 | + | 0.00237152i | ||||
\(563\) | −11.8316 | − | 30.1464i | −0.498642 | − | 1.27052i | −0.929741 | − | 0.368214i | \(-0.879969\pi\) |
0.431100 | − | 0.902304i | \(-0.358126\pi\) | |||||||
\(564\) | −12.6324 | − | 26.4178i | −0.531919 | − | 1.11239i | ||||
\(565\) | −56.0002 | + | 17.2738i | −2.35595 | + | 0.726713i | ||||
\(566\) | 0.300840 | − | 1.31807i | 0.0126453 | − | 0.0554025i | ||||
\(567\) | 17.8806 | − | 15.7253i | 0.750914 | − | 0.660400i | ||||
\(568\) | 0.144234 | + | 0.631932i | 0.00605194 | + | 0.0265153i | ||||
\(569\) | 8.84258 | + | 15.3158i | 0.370700 | + | 0.642072i | 0.989673 | − | 0.143340i | \(-0.0457844\pi\) |
−0.618973 | + | 0.785412i | \(0.712451\pi\) | |||||||
\(570\) | 1.06097 | − | 2.18765i | 0.0444391 | − | 0.0916304i | ||||
\(571\) | 18.1639 | + | 5.60283i | 0.760137 | + | 0.234471i | 0.650506 | − | 0.759501i | \(-0.274557\pi\) |
0.109631 | + | 0.993972i | \(0.465033\pi\) | |||||||
\(572\) | 0.119635 | + | 0.0576131i | 0.00500218 | + | 0.00240892i | ||||
\(573\) | −6.34980 | + | 9.25840i | −0.265267 | + | 0.386775i | ||||
\(574\) | 0.0758819 | − | 0.310085i | 0.00316725 | − | 0.0129427i | ||||
\(575\) | −33.8293 | − | 42.4207i | −1.41078 | − | 1.76906i | ||||
\(576\) | 14.9543 | − | 18.5411i | 0.623098 | − | 0.772545i | ||||
\(577\) | 7.60651 | − | 19.3811i | 0.316663 | − | 0.806844i | −0.680582 | − | 0.732672i | \(-0.738273\pi\) |
0.997245 | − | 0.0741726i | \(-0.0236316\pi\) | |||||||
\(578\) | −0.769854 | − | 0.370742i | −0.0320217 | − | 0.0154208i | ||||
\(579\) | −18.1470 | − | 1.41035i | −0.754163 | − | 0.0586122i | ||||
\(580\) | −21.8221 | − | 14.8781i | −0.906113 | − | 0.617778i | ||||
\(581\) | 30.6875 | + | 15.3725i | 1.27313 | + | 0.637758i | ||||
\(582\) | 0.412975 | − | 0.327474i | 0.0171184 | − | 0.0135742i | ||||
\(583\) | −0.0476841 | − | 0.0325105i | −0.00197487 | − | 0.00134645i | ||||
\(584\) | −0.0774906 | + | 0.0239027i | −0.00320658 | + | 0.000989100i | ||||
\(585\) | −0.883762 | − | 12.7369i | −0.0365391 | − | 0.526606i | ||||
\(586\) | 0.408149 | − | 0.0615185i | 0.0168605 | − | 0.00254131i | ||||
\(587\) | 4.83863 | − | 8.38076i | 0.199712 | − | 0.345911i | −0.748723 | − | 0.662883i | \(-0.769333\pi\) |
0.948435 | + | 0.316972i | \(0.102666\pi\) | |||||||
\(588\) | −15.8605 | − | 18.3024i | −0.654075 | − | 0.754777i | ||||
\(589\) | −24.2030 | − | 41.9208i | −0.997267 | − | 1.72732i | ||||
\(590\) | −1.33315 | − | 1.67172i | −0.0548849 | − | 0.0688235i | ||||
\(591\) | 0.000416956 | − | 0.150939i | 1.71513e−5 | − | 0.00620880i | ||||
\(592\) | 6.59853 | − | 28.9100i | 0.271198 | − | 1.18820i | ||||
\(593\) | 2.79418 | − | 37.2857i | 0.114743 | − | 1.53114i | −0.581625 | − | 0.813457i | \(-0.697583\pi\) |
0.696368 | − | 0.717685i | \(-0.254798\pi\) | |||||||
\(594\) | −0.00429133 | − | 0.0143328i | −0.000176075 | − | 0.000588081i | ||||
\(595\) | 19.9810 | + | 53.3424i | 0.819140 | + | 2.18683i | ||||
\(596\) | 2.71143 | − | 36.1815i | 0.111064 | − | 1.48205i | ||||
\(597\) | −9.71736 | + | 14.1685i | −0.397705 | + | 0.579878i | ||||
\(598\) | 0.300916 | − | 0.205161i | 0.0123054 | − | 0.00838966i | ||||
\(599\) | 33.3030 | − | 5.01961i | 1.36072 | − | 0.205096i | 0.572206 | − | 0.820110i | \(-0.306088\pi\) |
0.788516 | + | 0.615014i | \(0.210850\pi\) | |||||||
\(600\) | −2.89908 | − | 0.670126i | −0.118354 | − | 0.0273578i | ||||
\(601\) | −43.8106 | + | 6.60339i | −1.78707 | + | 0.269358i | −0.957373 | − | 0.288854i | \(-0.906726\pi\) |
−0.829699 | + | 0.558212i | \(0.811488\pi\) | |||||||
\(602\) | −0.756634 | − | 0.533339i | −0.0308381 | − | 0.0217373i | ||||
\(603\) | 8.04974 | − | 13.7663i | 0.327811 | − | 0.560609i | ||||
\(604\) | −7.48076 | + | 5.10029i | −0.304388 | + | 0.207528i | ||||
\(605\) | −9.02280 | − | 39.5315i | −0.366829 | − | 1.60718i | ||||
\(606\) | −0.308504 | + | 0.0222624i | −0.0125321 | + | 0.000904347i | ||||
\(607\) | −7.44769 | −0.302292 | −0.151146 | − | 0.988511i | \(-0.548296\pi\) | ||||
−0.151146 | + | 0.988511i | \(0.548296\pi\) | |||||||
\(608\) | −3.34325 | + | 3.10209i | −0.135587 | + | 0.125806i | ||||
\(609\) | 6.85681 | + | 14.9336i | 0.277852 | + | 0.605140i | ||||
\(610\) | 1.50644 | + | 1.39778i | 0.0609941 | + | 0.0565943i | ||||
\(611\) | 7.16102 | + | 6.64445i | 0.289704 | + | 0.268806i | ||||
\(612\) | 34.9887 | + | 0.193308i | 1.41433 | + | 0.00781401i | ||||
\(613\) | −12.0375 | − | 1.81437i | −0.486192 | − | 0.0732816i | −0.0986277 | − | 0.995124i | \(-0.531445\pi\) |
−0.387564 | + | 0.921843i | \(0.626683\pi\) | |||||||
\(614\) | 0.538417 | − | 0.166080i | 0.0217288 | − | 0.00670243i | ||||
\(615\) | 2.33948 | − | 15.2357i | 0.0943369 | − | 0.614364i | ||||
\(616\) | −0.0292364 | + | 0.00852120i | −0.00117797 | + | 0.000343329i | ||||
\(617\) | 17.1880 | − | 15.9482i | 0.691964 | − | 0.642049i | −0.253666 | − | 0.967292i | \(-0.581637\pi\) |
0.945631 | + | 0.325243i | \(0.105446\pi\) | |||||||
\(618\) | −1.29409 | + | 0.0933842i | −0.0520558 | + | 0.00375646i | ||||
\(619\) | 46.6392 | 1.87459 | 0.937293 | − | 0.348542i | \(-0.113323\pi\) | ||||
0.937293 | + | 0.348542i | \(0.113323\pi\) | |||||||
\(620\) | −34.3209 | + | 31.8451i | −1.37836 | + | 1.27893i | ||||
\(621\) | 31.9135 | + | 7.56283i | 1.28064 | + | 0.303486i | ||||
\(622\) | −1.06502 | + | 1.33549i | −0.0427033 | + | 0.0535482i | ||||
\(623\) | −4.25261 | − | 2.13029i | −0.170377 | − | 0.0853481i | ||||
\(624\) | −2.36918 | + | 7.60603i | −0.0948431 | + | 0.304485i | ||||
\(625\) | −1.31594 | − | 5.76551i | −0.0526376 | − | 0.230620i | ||||
\(626\) | 0.340757 | − | 0.0513609i | 0.0136194 | − | 0.00205279i | ||||
\(627\) | −0.111145 | − | 0.751480i | −0.00443871 | − | 0.0300112i | ||||
\(628\) | −3.91088 | − | 0.589470i | −0.156061 | − | 0.0235224i | ||||
\(629\) | 39.1456 | − | 18.8515i | 1.56084 | − | 0.751659i | ||||
\(630\) | 1.05130 | + | 1.01762i | 0.0418848 | + | 0.0405429i | ||||
\(631\) | 15.8167 | + | 7.61694i | 0.629654 | + | 0.303226i | 0.721360 | − | 0.692561i | \(-0.243517\pi\) |
−0.0917053 | + | 0.995786i | \(0.529232\pi\) | |||||||
\(632\) | −0.567975 | − | 0.387239i | −0.0225928 | − | 0.0154035i | ||||
\(633\) | 3.69231 | − | 24.0460i | 0.146756 | − | 0.955742i | ||||
\(634\) | 0.0260471 | − | 0.347575i | 0.00103446 | − | 0.0138040i | ||||
\(635\) | 30.1370 | + | 37.7907i | 1.19595 | + | 1.49968i | ||||
\(636\) | 1.51282 | − | 3.11933i | 0.0599871 | − | 0.123689i | ||||
\(637\) | 7.16633 | + | 3.73081i | 0.283940 | + | 0.147820i | ||||
\(638\) | 0.0103249 | 0.000408767 | ||||||||
\(639\) | 2.21756 | − | 9.47418i | 0.0877254 | − | 0.374793i | ||||
\(640\) | 4.85862 | + | 3.31255i | 0.192054 | + | 0.130940i | ||||
\(641\) | 0.787579 | − | 3.45061i | 0.0311075 | − | 0.136291i | −0.956990 | − | 0.290122i | \(-0.906304\pi\) |
0.988097 | + | 0.153831i | \(0.0491612\pi\) | |||||||
\(642\) | −0.00398519 | + | 1.44265i | −0.000157283 | + | 0.0569368i | ||||
\(643\) | −2.86404 | − | 38.2179i | −0.112947 | − | 1.50717i | −0.709564 | − | 0.704641i | \(-0.751108\pi\) |
0.596617 | − | 0.802526i | \(-0.296511\pi\) | |||||||
\(644\) | 7.92905 | − | 32.4014i | 0.312449 | − | 1.27679i | ||||
\(645\) | −38.6479 | − | 22.4560i | −1.52176 | − | 0.884203i | ||||
\(646\) | −2.19799 | − | 0.331293i | −0.0864787 | − | 0.0130346i | ||||
\(647\) | 0.857621 | + | 11.4442i | 0.0337165 | + | 0.449916i | 0.988357 | + | 0.152154i | \(0.0486210\pi\) |
−0.954640 | + | 0.297762i | \(0.903760\pi\) | |||||||
\(648\) | 1.62902 | − | 0.762435i | 0.0639939 | − | 0.0299513i | ||||
\(649\) | −0.638385 | − | 0.196916i | −0.0250588 | − | 0.00772962i | ||||
\(650\) | 0.490469 | − | 0.0739263i | 0.0192378 | − | 0.00289963i | ||||
\(651\) | 28.5137 | − | 5.95952i | 1.11754 | − | 0.233572i | ||||
\(652\) | 34.7203 | + | 5.23324i | 1.35975 | + | 0.204949i | ||||
\(653\) | −24.8044 | − | 11.9452i | −0.970672 | − | 0.467451i | −0.119785 | − | 0.992800i | \(-0.538221\pi\) |
−0.850887 | + | 0.525349i | \(0.823935\pi\) | |||||||
\(654\) | −0.123566 | + | 0.132437i | −0.00483182 | + | 0.00517869i | ||||
\(655\) | −12.1263 | −0.473812 | ||||||||
\(656\) | −4.80899 | + | 8.32941i | −0.187759 | + | 0.325209i | ||||
\(657\) | 1.20272 | + | 0.188082i | 0.0469226 | + | 0.00733780i | ||||
\(658\) | −1.11935 | − | 0.0174603i | −0.0436369 | − | 0.000680672i | ||||
\(659\) | 31.5733 | + | 29.2957i | 1.22992 | + | 1.14120i | 0.985164 | + | 0.171615i | \(0.0548985\pi\) |
0.244757 | + | 0.969585i | \(0.421292\pi\) | |||||||
\(660\) | −0.684701 | + | 0.266545i | −0.0266519 | + | 0.0103752i | ||||
\(661\) | 11.0223 | + | 28.0843i | 0.428718 | + | 1.09235i | 0.968160 | + | 0.250332i | \(0.0805398\pi\) |
−0.539443 | + | 0.842022i | \(0.681365\pi\) | |||||||
\(662\) | −0.385615 | − | 0.982532i | −0.0149874 | − | 0.0381872i | ||||
\(663\) | −10.8773 | + | 4.23440i | −0.422441 | + | 0.164451i | ||||
\(664\) | 1.90047 | + | 1.76338i | 0.0737524 | + | 0.0684322i | ||||
\(665\) | 45.4074 | + | 58.7974i | 1.76082 | + | 2.28007i | ||||
\(666\) | 0.700641 | − | 0.868687i | 0.0271493 | − | 0.0336609i | ||||
\(667\) | −11.3168 | + | 19.6012i | −0.438187 | + | 0.758962i | ||||
\(668\) | −13.4067 | −0.518720 | ||||||||
\(669\) | 1.28971 | − | 1.38230i | 0.0498630 | − | 0.0534427i | ||||
\(670\) | 0.882849 | + | 0.425157i | 0.0341074 | + | 0.0164253i | ||||
\(671\) | 0.634906 | + | 0.0956967i | 0.0245103 | + | 0.00369433i | ||||
\(672\) | −1.14522 | − | 2.49421i | −0.0441780 | − | 0.0962163i | ||||
\(673\) | 30.2327 | − | 4.55685i | 1.16539 | − | 0.175654i | 0.462276 | − | 0.886736i | \(-0.347033\pi\) |
0.703109 | + | 0.711082i | \(0.251795\pi\) | |||||||
\(674\) | −0.209803 | − | 0.0647157i | −0.00808132 | − | 0.00249276i | ||||
\(675\) | 34.6902 | + | 28.1380i | 1.33523 | + | 1.08303i | ||||
\(676\) | 1.74170 | + | 23.2414i | 0.0669885 | + | 0.893899i | ||||
\(677\) | 11.6462 | + | 1.75538i | 0.447599 | + | 0.0674647i | 0.368974 | − | 0.929440i | \(-0.379709\pi\) |
0.0786249 | + | 0.996904i | \(0.474947\pi\) | |||||||
\(678\) | 1.18993 | + | 0.691393i | 0.0456988 | + | 0.0265528i | ||||
\(679\) | 3.33820 | + | 15.7544i | 0.128109 | + | 0.604598i | ||||
\(680\) | 0.321533 | + | 4.29056i | 0.0123302 | + | 0.164535i | ||||
\(681\) | −0.00489155 | + | 1.77075i | −0.000187445 | + | 0.0678553i | ||||
\(682\) | 0.00407277 | − | 0.0178440i | 0.000155954 | − | 0.000683281i | ||||
\(683\) | −25.9752 | − | 17.7096i | −0.993913 | − | 0.677638i | −0.0469218 | − | 0.998899i | \(-0.514941\pi\) |
−0.946991 | + | 0.321260i | \(0.895894\pi\) | |||||||
\(684\) | 43.6793 | − | 13.2094i | 1.67012 | − | 0.505076i | ||||
\(685\) | 19.6268 | 0.749901 | ||||||||
\(686\) | −0.896540 | + | 0.231225i | −0.0342301 | + | 0.00882820i | ||||
\(687\) | −10.2895 | + | 21.2163i | −0.392570 | + | 0.809452i | ||||
\(688\) | 17.3892 | + | 21.8054i | 0.662957 | + | 0.831322i | ||||
\(689\) | −0.0864281 | + | 1.15330i | −0.00329265 | + | 0.0439373i | ||||
\(690\) | −0.305864 | + | 1.99192i | −0.0116440 | + | 0.0758312i | ||||
\(691\) | −0.297118 | − | 0.202571i | −0.0113029 | − | 0.00770618i | 0.557655 | − | 0.830073i | \(-0.311701\pi\) |
−0.568958 | + | 0.822366i | \(0.692653\pi\) | |||||||
\(692\) | −5.60016 | − | 2.69690i | −0.212886 | − | 0.102521i | ||||
\(693\) | 0.450500 | + | 0.0776662i | 0.0171131 | + | 0.00295030i | ||||
\(694\) | 0.702015 | − | 0.338073i | 0.0266481 | − | 0.0128331i | ||||
\(695\) | 38.1695 | + | 5.75313i | 1.44785 | + | 0.218229i | ||||
\(696\) | 0.181604 | + | 1.22787i | 0.00688368 | + | 0.0465422i | ||||
\(697\) | −13.9348 | + | 2.10034i | −0.527820 | + | 0.0795561i | ||||
\(698\) | −0.236604 | − | 1.03663i | −0.00895558 | − | 0.0392370i | ||||
\(699\) | 7.03337 | − | 22.5800i | 0.266026 | − | 0.854053i | ||||
\(700\) | 28.8757 | − | 35.0725i | 1.09140 | − | 1.32562i | ||||
\(701\) | −6.10546 | + | 7.65601i | −0.230600 | + | 0.289164i | −0.883647 | − | 0.468154i | \(-0.844919\pi\) |
0.653047 | + | 0.757318i | \(0.273491\pi\) | |||||||
\(702\) | −0.205746 | + | 0.218088i | −0.00776537 | + | 0.00823120i | ||||
\(703\) | 41.5387 | − | 38.5422i | 1.56666 | − | 1.45365i | ||||
\(704\) | 0.457309 | 0.0172355 | ||||||||
\(705\) | −53.9145 | + | 3.89059i | −2.03054 | + | 0.146528i | ||||
\(706\) | −1.01943 | + | 0.945890i | −0.0383666 | + | 0.0355990i | ||||
\(707\) | 3.58958 | − | 8.74263i | 0.135000 | − | 0.328800i | ||||
\(708\) | 6.09084 | − | 39.6663i | 0.228908 | − | 1.49075i | ||||
\(709\) | −19.0846 | + | 5.88681i | −0.716736 | + | 0.221084i | −0.631610 | − | 0.775286i | \(-0.717606\pi\) |
−0.0851263 | + | 0.996370i | \(0.527129\pi\) | |||||||
\(710\) | 0.591208 | + | 0.0891102i | 0.0221876 | + | 0.00334425i | ||||
\(711\) | 5.11020 | + | 8.96514i | 0.191647 | + | 0.336219i | ||||
\(712\) | −0.263363 | − | 0.244365i | −0.00986993 | − | 0.00915796i | ||||
\(713\) | 29.4117 | + | 27.2901i | 1.10148 | + | 1.02202i | ||||
\(714\) | 0.602412 | − | 1.19432i | 0.0225447 | − | 0.0446964i | ||||
\(715\) | 0.179682 | − | 0.166721i | 0.00671972 | − | 0.00623499i | ||||
\(716\) | −2.15074 | −0.0803771 | ||||||||
\(717\) | −5.90235 | + | 0.425927i | −0.220427 | + | 0.0159065i | ||||
\(718\) | 0.259463 | + | 1.13678i | 0.00968308 | + | 0.0424244i | ||||
\(719\) | −6.54048 | + | 4.45922i | −0.243919 | + | 0.166301i | −0.679109 | − | 0.734038i | \(-0.737634\pi\) |
0.435190 | + | 0.900339i | \(0.356681\pi\) | |||||||
\(720\) | −21.8297 | − | 38.2972i | −0.813544 | − | 1.42725i | ||||
\(721\) | 15.0572 | − | 36.6728i | 0.560760 | − | 1.36577i | ||||
\(722\) | −1.92737 | + | 0.290504i | −0.0717292 | + | 0.0108114i | ||||
\(723\) | 3.44890 | + | 0.797219i | 0.128266 | + | 0.0296489i | ||||
\(724\) | 10.3034 | − | 1.55299i | 0.382924 | − | 0.0577165i | ||||
\(725\) | −25.4687 | + | 17.3643i | −0.945886 | + | 0.644894i | ||||
\(726\) | −0.538565 | + | 0.785261i | −0.0199880 | + | 0.0291438i | ||||
\(727\) | 0.366161 | − | 4.88608i | 0.0135802 | − | 0.181215i | −0.986289 | − | 0.165028i | \(-0.947228\pi\) |
0.999869 | − | 0.0161864i | \(-0.00515253\pi\) | |||||||
\(728\) | 0.440829 | + | 0.422014i | 0.0163382 | + | 0.0156409i | ||||
\(729\) | −26.9963 | − | 0.447490i | −0.999863 | − | 0.0165737i | ||||
\(730\) | −0.00558986 | + | 0.0745915i | −0.000206890 | + | 0.00276076i | ||||
\(731\) | −9.09322 | + | 39.8400i | −0.336325 | + | 1.47354i | ||||
\(732\) | −0.106546 | + | 38.5699i | −0.00393806 | + | 1.42559i | ||||
\(733\) | 15.2830 | + | 19.1643i | 0.564490 | + | 0.707848i | 0.979381 | − | 0.202023i | \(-0.0647517\pi\) |
−0.414891 | + | 0.909871i | \(0.636180\pi\) | |||||||
\(734\) | −0.0640078 | − | 0.110865i | −0.00236257 | − | 0.00409209i | ||||
\(735\) | −42.1463 | + | 14.9107i | −1.55459 | + | 0.549990i | ||||
\(736\) | 1.89013 | − | 3.27380i | 0.0696710 | − | 0.120674i | ||||
\(737\) | 0.302739 | − | 0.0456305i | 0.0111515 | − | 0.00168082i | ||||
\(738\) | −0.300202 | + | 0.202254i | −0.0110506 | + | 0.00744507i | ||||
\(739\) | −29.7919 | + | 9.18958i | −1.09591 | + | 0.338044i | −0.789435 | − | 0.613834i | \(-0.789626\pi\) |
−0.306477 | + | 0.951878i | \(0.599150\pi\) | |||||||
\(740\) | −45.2844 | − | 30.8744i | −1.66469 | − | 1.13496i | ||||
\(741\) | −11.9282 | + | 9.45863i | −0.438193 | + | 0.347472i | ||||
\(742\) | −0.0810096 | − | 0.104898i | −0.00297395 | − | 0.00385093i | ||||
\(743\) | −7.40413 | − | 5.04805i | −0.271631 | − | 0.185195i | 0.419842 | − | 0.907597i | \(-0.362086\pi\) |
−0.691473 | + | 0.722402i | \(0.743038\pi\) | |||||||
\(744\) | 2.19369 | + | 0.170490i | 0.0804247 | + | 0.00625046i | ||||
\(745\) | −60.3440 | − | 29.0601i | −2.21083 | − | 1.06468i | ||||
\(746\) | −0.163409 | + | 0.416360i | −0.00598283 | + | 0.0152440i | ||||
\(747\) | −14.0180 | − | 36.3058i | −0.512892 | − | 1.32836i | ||||
\(748\) | 0.418820 | + | 0.525183i | 0.0153136 | + | 0.0192026i | ||||
\(749\) | −39.4118 | − | 19.7428i | −1.44008 | − | 0.721386i | ||||
\(750\) | −0.649428 | + | 0.946905i | −0.0237137 | + | 0.0345761i | ||||
\(751\) | −38.7239 | − | 18.6484i | −1.41306 | − | 0.680491i | −0.437292 | − | 0.899320i | \(-0.644062\pi\) |
−0.975763 | + | 0.218828i | \(0.929777\pi\) | |||||||
\(752\) | 32.2298 | + | 9.94156i | 1.17530 | + | 0.362532i | ||||
\(753\) | 20.7185 | − | 42.7202i | 0.755025 | − | 1.55681i | ||||
\(754\) | −0.103454 | − | 0.179188i | −0.00376758 | − | 0.00652563i | ||||
\(755\) | 3.71906 | + | 16.2943i | 0.135350 | + | 0.593009i | ||||
\(756\) | −0.655833 | + | 27.4533i | −0.0238524 | + | 0.998466i | ||||
\(757\) | −1.80578 | + | 7.91162i | −0.0656320 | + | 0.287553i | −0.997084 | − | 0.0763115i | \(-0.975686\pi\) |
0.931452 | + | 0.363864i | \(0.118543\pi\) | |||||||
\(758\) | −0.528734 | + | 0.163093i | −0.0192045 | + | 0.00592380i | ||||
\(759\) | 0.271629 | + | 0.568052i | 0.00985950 | + | 0.0206190i | ||||
\(760\) | 2.05009 | + | 5.22355i | 0.0743646 | + | 0.189478i | ||||
\(761\) | 9.19199 | − | 40.2727i | 0.333209 | − | 1.45989i | −0.479667 | − | 0.877450i | \(-0.659243\pi\) |
0.812877 | − | 0.582436i | \(-0.197900\pi\) | |||||||
\(762\) | 0.172276 | − | 1.12194i | 0.00624090 | − | 0.0406435i | ||||
\(763\) | −1.94136 | − | 5.18276i | −0.0702818 | − | 0.187629i | ||||
\(764\) | −2.88103 | − | 12.6226i | −0.104232 | − | 0.456670i | ||||
\(765\) | 23.9287 | − | 59.9926i | 0.865144 | − | 2.16904i | ||||
\(766\) | 0.626818 | + | 1.08568i | 0.0226478 | + | 0.0392272i | ||||
\(767\) | 2.97907 | + | 13.0522i | 0.107568 | + | 0.471287i | ||||
\(768\) | 4.00409 | + | 27.0726i | 0.144485 | + | 0.976900i | ||||
\(769\) | 20.6247 | + | 3.10867i | 0.743746 | + | 0.112102i | 0.509974 | − | 0.860190i | \(-0.329655\pi\) |
0.233772 | + | 0.972291i | \(0.424893\pi\) | |||||||
\(770\) | −0.00253578 | + | 0.0279751i | −9.13833e−5 | + | 0.00100815i | ||||
\(771\) | 27.1057 | − | 6.10797i | 0.976187 | − | 0.219973i | ||||
\(772\) | 15.3877 | − | 14.2777i | 0.553815 | − | 0.513865i | ||||
\(773\) | −15.6748 | + | 39.9388i | −0.563784 | + | 1.43650i | 0.310261 | + | 0.950652i | \(0.399584\pi\) |
−0.874044 | + | 0.485846i | \(0.838512\pi\) | |||||||
\(774\) | 0.227914 | + | 1.02462i | 0.00819220 | + | 0.0368291i | ||||
\(775\) | 19.9634 | + | 50.8658i | 0.717105 | + | 1.82715i | ||||
\(776\) | −0.0909033 | + | 1.21302i | −0.00326324 | + | 0.0435449i | ||||
\(777\) | 14.2290 | + | 30.9896i | 0.510462 | + | 1.11175i | ||||
\(778\) | −0.0470711 | − | 0.628120i | −0.00168758 | − | 0.0225192i | ||||
\(779\) | −16.5590 | + | 7.97441i | −0.593289 | + | 0.285713i | ||||
\(780\) | 11.4865 | + | 9.21217i | 0.411281 | + | 0.329849i | ||||
\(781\) | 0.168305 | − | 0.0810515i | 0.00602243 | − | 0.00290025i | ||||
\(782\) | 1.82185 | − | 0.274599i | 0.0651491 | − | 0.00981964i | ||||
\(783\) | 5.63946 | − | 17.7588i | 0.201538 | − | 0.634648i | ||||
\(784\) | 27.8815 | + | 0.870034i | 0.995768 | + | 0.0310727i | ||||
\(785\) | −3.65043 | + | 6.32273i | −0.130290 | + | 0.225668i | ||||
\(786\) | 0.193111 | + | 0.209281i | 0.00688806 | + | 0.00746481i | ||||
\(787\) | −3.19410 | + | 42.6223i | −0.113857 | + | 1.51932i | 0.589083 | + | 0.808072i | \(0.299489\pi\) |
−0.702941 | + | 0.711248i | \(0.748130\pi\) | |||||||
\(788\) | 0.127604 | + | 0.118399i | 0.00454570 | + | 0.00421780i | ||||
\(789\) | 0.0189820 | − | 6.87151i | 0.000675776 | − | 0.244632i | ||||
\(790\) | −0.523902 | + | 0.357190i | −0.0186396 | + | 0.0127083i | ||||
\(791\) | −35.1085 | + | 23.1428i | −1.24832 | + | 0.822865i | ||||
\(792\) | 0.0310275 | + | 0.0151538i | 0.00110252 | + | 0.000538467i | ||||
\(793\) | −4.70086 | − | 11.9776i | −0.166932 | − | 0.425337i | ||||
\(794\) | 0.158465 | + | 0.0763129i | 0.00562373 | + | 0.00270825i | ||||
\(795\) | −4.33986 | − | 4.70324i | −0.153919 | − | 0.166807i | ||||
\(796\) | −4.40896 | − | 19.3169i | −0.156271 | − | 0.684669i | ||||
\(797\) | 19.5376 | − | 49.7811i | 0.692058 | − | 1.76334i | 0.0473855 | − | 0.998877i | \(-0.484911\pi\) |
0.644673 | − | 0.764459i | \(-0.276994\pi\) | |||||||
\(798\) | 0.291640 | − | 1.72001i | 0.0103240 | − | 0.0608879i | ||||
\(799\) | 18.0546 | + | 46.0024i | 0.638726 | + | 1.62745i | ||||
\(800\) | 4.25379 | − | 2.90019i | 0.150394 | − | 0.102537i | ||||
\(801\) | 1.94259 | + | 5.03119i | 0.0686379 | + | 0.177768i | ||||
\(802\) | 0.565668 | + | 0.979765i | 0.0199744 | + | 0.0345967i | ||||
\(803\) | 0.0116854 | + | 0.0202398i | 0.000412370 | + | 0.000714246i | ||||
\(804\) | 5.37232 | + | 17.5890i | 0.189467 | + | 0.620315i | ||||
\(805\) | −50.3297 | − | 35.4766i | −1.77389 | − | 1.25039i | ||||
\(806\) | −0.350489 | + | 0.108112i | −0.0123455 | + | 0.00380807i | ||||
\(807\) | −4.79161 | + | 31.2051i | −0.168673 | + | 1.09847i | ||||
\(808\) | 0.445088 | − | 0.558123i | 0.0156582 | − | 0.0196347i | ||||
\(809\) | −15.7840 | − | 2.37906i | −0.554936 | − | 0.0836432i | −0.134414 | − | 0.990925i | \(-0.542915\pi\) |
−0.420522 | + | 0.907282i | \(0.638153\pi\) | |||||||
\(810\) | −0.105693 | − | 1.65567i | −0.00371366 | − | 0.0581745i | ||||
\(811\) | 3.85940 | − | 16.9092i | 0.135522 | − | 0.593761i | −0.860865 | − | 0.508833i | \(-0.830077\pi\) |
0.996387 | − | 0.0849275i | \(-0.0270659\pi\) | |||||||
\(812\) | −18.0197 | − | 5.86765i | −0.632367 | − | 0.205914i | ||||
\(813\) | −2.97654 | + | 3.19023i | −0.104392 | + | 0.111886i | ||||
\(814\) | 0.0214258 | 0.000750976 | ||||||||
\(815\) | 32.4081 | − | 56.1324i | 1.13520 | − | 1.96623i | ||||
\(816\) | −27.4932 | + | 29.4669i | −0.962453 | + | 1.03155i | ||||
\(817\) | 3.98279 | + | 53.1466i | 0.139340 | + | 1.85937i | ||||
\(818\) | 0.517946 | − | 0.649484i | 0.0181096 | − | 0.0227087i | ||||
\(819\) | −3.16606 | − | 8.59659i | −0.110631 | − | 0.300389i | ||||
\(820\) | 11.0836 | + | 13.8984i | 0.387055 | + | 0.485351i | ||||
\(821\) | −20.1927 | + | 18.7361i | −0.704732 | + | 0.653895i | −0.948805 | − | 0.315861i | \(-0.897707\pi\) |
0.244074 | + | 0.969757i | \(0.421516\pi\) | |||||||
\(822\) | −0.312558 | − | 0.338729i | −0.0109017 | − | 0.0118145i | ||||
\(823\) | 27.6292 | − | 18.8373i | 0.963093 | − | 0.656625i | 0.0237906 | − | 0.999717i | \(-0.492427\pi\) |
0.939302 | + | 0.343092i | \(0.111474\pi\) | |||||||
\(824\) | 1.86702 | − | 2.34116i | 0.0650406 | − | 0.0815583i | ||||
\(825\) | −0.00236886 | + | 0.857533i | −8.24732e−5 | + | 0.0298555i | ||||
\(826\) | −1.25400 | − | 0.883927i | −0.0436324 | − | 0.0307557i | ||||
\(827\) | −15.6008 | − | 7.51297i | −0.542494 | − | 0.261252i | 0.142506 | − | 0.989794i | \(-0.454484\pi\) |
−0.685001 | + | 0.728542i | \(0.740198\pi\) | |||||||
\(828\) | −31.3687 | + | 21.1339i | −1.09014 | + | 0.734455i | ||||
\(829\) | 32.2426 | − | 9.94553i | 1.11983 | − | 0.345422i | 0.321062 | − | 0.947058i | \(-0.395960\pi\) |
0.798770 | + | 0.601636i | \(0.205484\pi\) | |||||||
\(830\) | 2.15455 | − | 1.03757i | 0.0747854 | − | 0.0360147i | ||||
\(831\) | 34.2792 | − | 7.72444i | 1.18913 | − | 0.267958i | ||||
\(832\) | −4.58217 | − | 7.93655i | −0.158858 | − | 0.275150i | ||||
\(833\) | 24.4741 | + | 32.7341i | 0.847978 | + | 1.13417i | ||||
\(834\) | −0.508561 | − | 0.750367i | −0.0176100 | − | 0.0259831i | ||||
\(835\) | −9.04153 | + | 23.0374i | −0.312895 | + | 0.797243i | ||||
\(836\) | 0.723849 | + | 0.493512i | 0.0250348 | + | 0.0170685i | ||||
\(837\) | −28.4671 | − | 16.7515i | −0.983966 | − | 0.579018i | ||||
\(838\) | 0.00237251 | − | 0.0316590i | 8.19570e−5 | − | 0.00109364i | ||||
\(839\) | 9.40740 | − | 6.41386i | 0.324780 | − | 0.221431i | −0.389943 | − | 0.920839i | \(-0.627505\pi\) |
0.714723 | + | 0.699408i | \(0.246553\pi\) | |||||||
\(840\) | −3.37149 | + | 0.190489i | −0.116327 | + | 0.00657251i | ||||
\(841\) | −13.3367 | − | 9.09284i | −0.459888 | − | 0.313546i | ||||
\(842\) | −0.632879 | + | 0.793606i | −0.0218105 | + | 0.0273495i | ||||
\(843\) | 0.292315 | + | 1.97641i | 0.0100679 | + | 0.0680713i | ||||
\(844\) | 17.4928 | + | 21.9352i | 0.602126 | + | 0.755042i | ||||
\(845\) | 41.1115 | + | 12.6812i | 1.41428 | + | 0.436247i | ||||
\(846\) | 0.925737 | + | 0.868525i | 0.0318275 | + | 0.0298605i | ||||
\(847\) | −14.1525 | − | 25.4204i | −0.486285 | − | 0.873455i | ||||
\(848\) | 1.45885 | + | 3.71709i | 0.0500972 | + | 0.127646i | ||||
\(849\) | −6.85321 | − | 46.3362i | −0.235202 | − | 1.59026i | ||||
\(850\) | 2.39775 | + | 0.739607i | 0.0822420 | + | 0.0253683i | ||||
\(851\) | −23.4841 | + | 40.6757i | −0.805025 | + | 1.39434i | ||||
\(852\) | 6.29565 | + | 9.28905i | 0.215685 | + | 0.318238i | ||||
\(853\) | −46.0629 | − | 14.2085i | −1.57716 | − | 0.486490i | −0.622111 | − | 0.782929i | \(-0.713725\pi\) |
−0.955052 | + | 0.296438i | \(0.904201\pi\) | |||||||
\(854\) | 1.31838 | + | 0.660424i | 0.0451140 | + | 0.0225992i | ||||
\(855\) | 6.75900 | − | 83.9650i | 0.231153 | − | 2.87154i | ||||
\(856\) | −2.44076 | − | 2.26469i | −0.0834234 | − | 0.0774056i | ||||
\(857\) | −6.04694 | + | 7.58263i | −0.206560 | + | 0.259018i | −0.874310 | − | 0.485367i | \(-0.838686\pi\) |
0.667751 | + | 0.744385i | \(0.267257\pi\) | |||||||
\(858\) | −0.00573879 | 0.000446008i | −0.000195919 | 1.52265e-5i | ||||||
\(859\) | −3.60122 | + | 15.7780i | −0.122872 | + | 0.538337i | 0.875598 | + | 0.483041i | \(0.160468\pi\) |
−0.998470 | + | 0.0552967i | \(0.982390\pi\) | |||||||
\(860\) | 49.2584 | − | 15.1942i | 1.67970 | − | 0.518119i | ||||
\(861\) | −1.44738 | − | 10.9651i | −0.0493266 | − | 0.373690i | ||||
\(862\) | −0.127744 | − | 0.0394040i | −0.00435099 | − | 0.00134210i | ||||
\(863\) | 13.6654 | − | 23.6692i | 0.465175 | − | 0.805707i | −0.534034 | − | 0.845463i | \(-0.679325\pi\) |
0.999209 | + | 0.0397555i | \(0.0126579\pi\) | |||||||
\(864\) | −0.941904 | + | 2.96608i | −0.0320442 | + | 0.100908i | ||||
\(865\) | −8.41100 | + | 7.80427i | −0.285982 | + | 0.265353i | ||||
\(866\) | 0.100779 | + | 1.34480i | 0.00342461 | + | 0.0456982i | ||||
\(867\) | −29.5151 | − | 2.29386i | −1.00239 | − | 0.0779037i | ||||
\(868\) | −17.2488 | + | 28.8279i | −0.585463 | + | 0.978482i | ||||
\(869\) | −0.0723789 | + | 0.184418i | −0.00245529 | + | 0.00625597i | ||||
\(870\) | 1.11550 | + | 0.257849i | 0.0378189 | + | 0.00874189i | ||||
\(871\) | −3.82531 | − | 4.79679i | −0.129616 | − | 0.162533i | ||||
\(872\) | −0.0312402 | − | 0.416872i | −0.00105793 | − | 0.0141171i | ||||
\(873\) | 9.21743 | − | 15.7633i | 0.311963 | − | 0.533507i | ||||
\(874\) | 2.16493 | − | 1.04258i | 0.0732299 | − | 0.0352657i | ||||
\(875\) | −17.0657 | − | 30.6531i | −0.576927 | − | 1.03626i | ||||
\(876\) | −1.10003 | + | 0.872285i | −0.0371666 | + | 0.0294718i | ||||
\(877\) | −12.4585 | + | 5.99970i | −0.420694 | + | 0.202596i | −0.632240 | − | 0.774772i | \(-0.717864\pi\) |
0.211546 | + | 0.977368i | \(0.432150\pi\) | |||||||
\(878\) | −1.27352 | − | 1.18165i | −0.0429792 | − | 0.0398788i | ||||
\(879\) | 12.4043 | − | 7.11600i | 0.418386 | − | 0.240017i | ||||
\(880\) | 0.309187 | − | 0.787796i | 0.0104227 | − | 0.0265566i | ||||
\(881\) | −16.0866 | −0.541972 | −0.270986 | − | 0.962583i | \(-0.587350\pi\) | ||||
−0.270986 | + | 0.962583i | \(0.587350\pi\) | |||||||
\(882\) | 0.928519 | + | 0.489929i | 0.0312649 | + | 0.0164968i | ||||
\(883\) | 9.66082 | 0.325112 | 0.162556 | − | 0.986699i | \(-0.448026\pi\) | ||||
0.162556 | + | 0.986699i | \(0.448026\pi\) | |||||||
\(884\) | 4.91799 | − | 12.5308i | 0.165410 | − | 0.421457i | ||||
\(885\) | −64.0530 | − | 37.2173i | −2.15312 | − | 1.25105i | ||||
\(886\) | −0.541367 | − | 0.502315i | −0.0181876 | − | 0.0168756i | ||||
\(887\) | −39.2934 | + | 18.9227i | −1.31934 | + | 0.635362i | −0.955194 | − | 0.295980i | \(-0.904354\pi\) |
−0.364148 | + | 0.931341i | \(0.618640\pi\) | |||||||
\(888\) | 0.376857 | + | 2.54802i | 0.0126465 | + | 0.0855061i | ||||
\(889\) | 28.3479 | + | 19.9820i | 0.950758 | + | 0.670173i | ||||
\(890\) | −0.298572 | + | 0.143785i | −0.0100082 | + | 0.00481968i | ||||
\(891\) | −0.318691 | − | 0.408812i | −0.0106766 | − | 0.0136957i | ||||
\(892\) | 0.162931 | + | 2.17417i | 0.00545535 | + | 0.0727966i | ||||
\(893\) | 40.1850 | + | 50.3904i | 1.34474 | + | 1.68625i | ||||
\(894\) | 0.459447 | + | 1.50423i | 0.0153662 | + | 0.0503090i | ||||
\(895\) | −1.45047 | + | 3.69574i | −0.0484839 | + | 0.123535i | ||||
\(896\) | 4.01203 | + | 1.30641i | 0.134032 | + | 0.0436442i | ||||
\(897\) | 7.13680 | − | 10.4059i | 0.238291 | − | 0.347443i | ||||
\(898\) | −0.0472145 | − | 0.630034i | −0.00157557 | − | 0.0210245i | ||||
\(899\) | 16.7093 | − | 15.5039i | 0.557286 | − | 0.517086i | ||||
\(900\) | −50.9791 | + | 7.39605i | −1.69930 | + | 0.246535i | ||||
\(901\) | −2.92536 | + | 5.06687i | −0.0974578 | + | 0.168802i | ||||
\(902\) | −0.00664063 | − | 0.00204836i | −0.000221109 | − | 6.82030e-5i | ||||
\(903\) | −31.1319 | − | 7.70961i | −1.03601 | − | 0.256560i | ||||
\(904\) | −3.03512 | + | 0.936210i | −0.100947 | + | 0.0311379i | ||||
\(905\) | 4.28009 | − | 18.7523i | 0.142275 | − | 0.623348i | ||||
\(906\) | 0.221988 | − | 0.323672i | 0.00737506 | − | 0.0107533i | ||||
\(907\) | 23.3038 | − | 29.2220i | 0.773790 | − | 0.970302i | −0.226203 | − | 0.974080i | \(-0.572631\pi\) |
0.999993 | + | 0.00377855i | \(0.00120275\pi\) | |||||||
\(908\) | −1.49699 | − | 1.38901i | −0.0496795 | − | 0.0460959i | ||||
\(909\) | −9.68056 | + | 4.59620i | −0.321084 | + | 0.152446i | ||||
\(910\) | 0.510914 | − | 0.236299i | 0.0169366 | − | 0.00783322i | ||||
\(911\) | −39.6698 | − | 12.2365i | −1.31432 | − | 0.405414i | −0.443173 | − | 0.896436i | \(-0.646147\pi\) |
−0.871147 | + | 0.491022i | \(0.836623\pi\) | |||||||
\(912\) | −22.9360 | + | 47.2924i | −0.759485 | + | 1.56601i | ||||
\(913\) | 0.373581 | − | 0.647062i | 0.0123637 | − | 0.0214146i | ||||
\(914\) | −1.07019 | − | 0.330110i | −0.0353988 | − | 0.0109191i | ||||
\(915\) | 66.2049 | + | 26.1948i | 2.18867 | + | 0.865974i | ||||
\(916\) | −9.93491 | − | 25.3137i | −0.328259 | − | 0.836390i | ||||
\(917\) | −8.35339 | + | 2.43466i | −0.275853 | + | 0.0803997i | ||||
\(918\) | −1.41645 | + | 0.542412i | −0.0467497 | + | 0.0179023i | ||||
\(919\) | −31.8990 | − | 9.83953i | −1.05225 | − | 0.324576i | −0.280070 | − | 0.959980i | \(-0.590358\pi\) |
−0.772180 | + | 0.635404i | \(0.780834\pi\) | |||||||
\(920\) | −2.89995 | − | 3.63642i | −0.0956085 | − | 0.119889i | ||||
\(921\) | 15.2960 | − | 12.1291i | 0.504019 | − | 0.399669i | ||||
\(922\) | −0.804873 | + | 1.00928i | −0.0265071 | + | 0.0332388i | ||||
\(923\) | −3.09303 | − | 2.10879i | −0.101808 | − | 0.0694118i | ||||
\(924\) | −0.418152 | + | 0.321086i | −0.0137562 | + | 0.0105629i | ||||
\(925\) | −52.8518 | + | 36.0337i | −1.73776 | + | 1.18478i | ||||
\(926\) | −0.0237087 | + | 0.316371i | −0.000779117 | + | 0.0103966i | ||||
\(927\) | −40.6071 | + | 19.2797i | −1.33371 | + | 0.633229i | ||||
\(928\) | −1.77445 | − | 1.20980i | −0.0582492 | − | 0.0397137i | ||||
\(929\) | −3.42379 | + | 8.72366i | −0.112331 | + | 0.286214i | −0.975973 | − | 0.217891i | \(-0.930082\pi\) |
0.863642 | + | 0.504105i | \(0.168178\pi\) | |||||||
\(930\) | 0.885645 | − | 1.82614i | 0.0290415 | − | 0.0598815i | ||||
\(931\) | 43.0848 | + | 31.3869i | 1.41205 | + | 1.02866i | ||||
\(932\) | 13.6373 | + | 23.6205i | 0.446704 | + | 0.773714i | ||||
\(933\) | −17.6000 | + | 56.5032i | −0.576198 | + | 1.84983i | ||||
\(934\) | 0.268840 | − | 0.129466i | 0.00879670 | − | 0.00423627i | ||||
\(935\) | 1.18490 | − | 0.365495i | 0.0387505 | − | 0.0119530i | ||||
\(936\) | −0.0478985 | − | 0.690319i | −0.00156561 | − | 0.0225638i | ||||
\(937\) | 24.0155 | + | 11.5652i | 0.784551 | + | 0.377820i | 0.782875 | − | 0.622179i | \(-0.213752\pi\) |
0.00167604 | + | 0.999999i | \(0.499466\pi\) | |||||||
\(938\) | 0.693527 | + | 0.115622i | 0.0226445 | + | 0.00377520i | ||||
\(939\) | 10.3562 | − | 5.94104i | 0.337960 | − | 0.193879i | ||||
\(940\) | 38.8677 | − | 48.7386i | 1.26773 | − | 1.58968i | ||||
\(941\) | 2.88928 | − | 1.96987i | 0.0941877 | − | 0.0642161i | −0.515310 | − | 0.857004i | \(-0.672323\pi\) |
0.609498 | + | 0.792788i | \(0.291371\pi\) | |||||||
\(942\) | 0.167254 | − | 0.0376889i | 0.00544944 | − | 0.00122797i | ||||
\(943\) | 11.1672 | − | 10.3617i | 0.363656 | − | 0.337423i | ||||
\(944\) | 28.8199 | + | 36.1391i | 0.938009 | + | 1.17623i | ||||
\(945\) | 46.7321 | + | 19.6416i | 1.52020 | + | 0.638940i | ||||
\(946\) | −0.0125644 | + | 0.0157553i | −0.000408504 | + | 0.000512247i | ||||
\(947\) | −1.20327 | − | 16.0565i | −0.0391010 | − | 0.521767i | −0.982024 | − | 0.188756i | \(-0.939555\pi\) |
0.942923 | − | 0.333011i | \(-0.108065\pi\) | |||||||
\(948\) | −11.5951 | − | 2.68022i | −0.376590 | − | 0.0870495i | ||||
\(949\) | 0.234173 | − | 0.405599i | 0.00760157 | − | 0.0131663i | ||||
\(950\) | 3.27254 | 0.106175 | ||||||||
\(951\) | −3.52754 | − | 11.5492i | −0.114388 | − | 0.374507i | ||||
\(952\) | 1.08294 | + | 2.89107i | 0.0350981 | + | 0.0937001i | ||||
\(953\) | −7.38603 | + | 32.3603i | −0.239257 | + | 1.04825i | 0.702427 | + | 0.711756i | \(0.252100\pi\) |
−0.941684 | + | 0.336498i | \(0.890758\pi\) | |||||||
\(954\) | −0.0120585 | + | 0.149799i | −0.000390408 | + | 0.00484992i | ||||
\(955\) | −23.6331 | − | 3.56212i | −0.764749 | − | 0.115267i | ||||
\(956\) | 4.25509 | − | 5.33571i | 0.137619 | − | 0.172569i | ||||
\(957\) | 0.333350 | − | 0.129769i | 0.0107757 | − | 0.00419482i | ||||
\(958\) | −0.527365 | + | 0.162671i | −0.0170384 | + | 0.00525565i | ||||
\(959\) | 13.5203 | − | 3.94059i | 0.436592 | − | 0.127248i | ||||
\(960\) | 49.4073 | + | 11.4206i | 1.59461 | + | 0.368598i | ||||
\(961\) | −4.70347 | − | 8.14666i | −0.151725 | − | 0.262795i | ||||
\(962\) | −0.214684 | − | 0.371843i | −0.00692169 | − | 0.0119887i | ||||
\(963\) | 18.0033 | + | 46.6274i | 0.580147 | + | 1.50255i | ||||
\(964\) | −3.37300 | + | 2.29967i | −0.108637 | + | 0.0740674i | ||||
\(965\) | −14.1566 | − | 36.0704i | −0.455717 | − | 1.16115i | ||||
\(966\) | 0.189231 | + | 1.43358i | 0.00608840 | + | 0.0461247i | ||||
\(967\) | −5.97799 | + | 15.2317i | −0.192239 | + | 0.489818i | −0.994198 | − | 0.107561i | \(-0.965696\pi\) |
0.801959 | + | 0.597379i | \(0.203791\pi\) | |||||||
\(968\) | −0.489021 | − | 2.14254i | −0.0157177 | − | 0.0688639i | ||||
\(969\) | −75.1280 | + | 16.9293i | −2.41346 | + | 0.543847i | ||||
\(970\) | 1.01091 | + | 0.486831i | 0.0324585 | + | 0.0156312i | ||||
\(971\) | 20.9668 | + | 53.4225i | 0.672856 | + | 1.71441i | 0.699369 | + | 0.714761i | \(0.253465\pi\) |
−0.0265123 | + | 0.999648i | \(0.508440\pi\) | |||||||
\(972\) | 21.4924 | − | 22.5310i | 0.689370 | − | 0.722683i | ||||
\(973\) | 27.4488 | − | 3.70038i | 0.879969 | − | 0.118629i | ||||
\(974\) | 0.421729 | − | 0.287530i | 0.0135131 | − | 0.00921306i | ||||
\(975\) | 14.9061 | − | 8.55124i | 0.477378 | − | 0.273859i | ||||
\(976\) | −32.5662 | − | 30.2170i | −1.04242 | − | 0.967223i | ||||
\(977\) | −0.797148 | + | 10.6372i | −0.0255030 | + | 0.340314i | 0.969828 | + | 0.243791i | \(0.0783911\pi\) |
−0.995331 | + | 0.0965229i | \(0.969228\pi\) | |||||||
\(978\) | −1.48486 | + | 0.334597i | −0.0474806 | + | 0.0106992i | ||||
\(979\) | −0.0517701 | + | 0.0896685i | −0.00165458 | + | 0.00286582i | ||||
\(980\) | 20.3239 | − | 47.3829i | 0.649223 | − | 1.51359i | ||||
\(981\) | −2.32492 | + | 5.82889i | −0.0742289 | + | 0.186102i | ||||
\(982\) | 0.785391 | − | 0.118379i | 0.0250628 | − | 0.00377762i | ||||
\(983\) | −0.209669 | + | 0.100971i | −0.00668739 | + | 0.00322048i | −0.437224 | − | 0.899352i | \(-0.644038\pi\) |
0.430537 | + | 0.902573i | \(0.358324\pi\) | |||||||
\(984\) | 0.126796 | − | 0.825752i | 0.00404211 | − | 0.0263240i | ||||
\(985\) | 0.289508 | − | 0.139420i | 0.00922451 | − | 0.00444229i | ||||
\(986\) | −0.0782209 | − | 1.04379i | −0.00249106 | − | 0.0332409i | ||||
\(987\) | −36.3588 | + | 13.5048i | −1.15731 | + | 0.429864i | ||||
\(988\) | 1.31199 | − | 17.5072i | 0.0417399 | − | 0.556980i | ||||
\(989\) | −16.1390 | − | 41.1215i | −0.513190 | − | 1.30759i | ||||
\(990\) | 0.0234677 | − | 0.0215348i | 0.000745852 | − | 0.000684420i | ||||
\(991\) | −19.6209 | + | 49.9932i | −0.623278 | + | 1.58809i | 0.174182 | + | 0.984713i | \(0.444272\pi\) |
−0.797460 | + | 0.603372i | \(0.793823\pi\) | |||||||
\(992\) | −2.79079 | + | 2.58947i | −0.0886075 | + | 0.0822158i | ||||
\(993\) | −24.7989 | − | 26.8754i | −0.786970 | − | 0.852865i | ||||
\(994\) | 0.425155 | − | 0.0573152i | 0.0134851 | − | 0.00181793i | ||||
\(995\) | −36.1667 | − | 5.45125i | −1.14656 | − | 0.172816i | ||||
\(996\) | 41.7346 | + | 16.5128i | 1.32241 | + | 0.523228i | ||||
\(997\) | 5.22770 | + | 22.9041i | 0.165563 | + | 0.725379i | 0.987735 | + | 0.156140i | \(0.0499051\pi\) |
−0.822172 | + | 0.569239i | \(0.807238\pi\) | |||||||
\(998\) | 0.619356 | + | 1.07276i | 0.0196054 | + | 0.0339575i | ||||
\(999\) | 11.7028 | − | 36.8524i | 0.370260 | − | 1.16596i |
(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 | 441.2.z.a.142.29 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.29 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.29 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.29 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.29 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.29 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.29 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.29 | yes | 648 | 441.382 | even | 21 | inner |