Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [200,2,Mod(29,200)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(200, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("200.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 200 = 2^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 200.o (of order \(10\), degree \(4\), 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: | \(1.59700804043\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.2 | ||
Character | \(\chi\) | \(=\) | 200.29 |
Dual form | 200.2.o.a.69.2 |
$q$-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 \(\left(\mathbb{Z}/200\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(177\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37194 | + | 0.343193i | −0.970108 | + | 0.242674i | ||||
\(3\) | −2.01785 | − | 1.46605i | −1.16500 | − | 0.846425i | −0.174602 | − | 0.984639i | \(-0.555864\pi\) |
−0.990402 | + | 0.138214i | \(0.955864\pi\) | |||||||
\(4\) | 1.76444 | − | 0.941679i | 0.882219 | − | 0.470840i | ||||
\(5\) | 1.86593 | − | 1.23219i | 0.834470 | − | 0.551054i | ||||
\(6\) | 3.27150 | + | 1.31882i | 1.33559 | + | 0.538408i | ||||
\(7\) | 0.110917i | 0.0419227i | 0.999780 | + | 0.0209613i | \(0.00667269\pi\) | ||||
−0.999780 | + | 0.0209613i | \(0.993327\pi\) | |||||||
\(8\) | −2.09752 | + | 1.89747i | −0.741587 | + | 0.670857i | ||||
\(9\) | 0.995348 | + | 3.06337i | 0.331783 | + | 1.02112i | ||||
\(10\) | −2.13706 | + | 2.33087i | −0.675799 | + | 0.737086i | ||||
\(11\) | −1.63700 | − | 0.531893i | −0.493574 | − | 0.160372i | 0.0516452 | − | 0.998665i | \(-0.483554\pi\) |
−0.545219 | + | 0.838294i | \(0.683554\pi\) | |||||||
\(12\) | −4.94092 | − | 0.686591i | −1.42632 | − | 0.198202i | ||||
\(13\) | −1.48445 | − | 4.56868i | −0.411713 | − | 1.26712i | −0.915158 | − | 0.403096i | \(-0.867934\pi\) |
0.503445 | − | 0.864027i | \(-0.332066\pi\) | |||||||
\(14\) | −0.0380659 | − | 0.152171i | −0.0101735 | − | 0.0406695i | ||||
\(15\) | −5.57162 | − | 0.249171i | −1.43859 | − | 0.0643356i | ||||
\(16\) | 2.22648 | − | 3.32307i | 0.556620 | − | 0.830767i | ||||
\(17\) | 0.269588 | + | 0.371056i | 0.0653848 | + | 0.0899944i | 0.840457 | − | 0.541878i | \(-0.182287\pi\) |
−0.775072 | + | 0.631873i | \(0.782287\pi\) | |||||||
\(18\) | −2.41688 | − | 3.86116i | −0.569665 | − | 0.910084i | ||||
\(19\) | −2.40052 | − | 3.30403i | −0.550716 | − | 0.757996i | 0.439393 | − | 0.898295i | \(-0.355194\pi\) |
−0.990109 | + | 0.140299i | \(0.955194\pi\) | |||||||
\(20\) | 2.13199 | − | 3.93124i | 0.476726 | − | 0.879052i | ||||
\(21\) | 0.162610 | − | 0.223814i | 0.0354844 | − | 0.0488401i | ||||
\(22\) | 2.42841 | + | 0.167919i | 0.517738 | + | 0.0358005i | ||||
\(23\) | −6.10792 | − | 1.98459i | −1.27359 | − | 0.413815i | −0.407272 | − | 0.913307i | \(-0.633520\pi\) |
−0.866318 | + | 0.499492i | \(0.833520\pi\) | |||||||
\(24\) | 7.01427 | − | 0.753724i | 1.43178 | − | 0.153853i | ||||
\(25\) | 1.96339 | − | 4.59838i | 0.392679 | − | 0.919676i | ||||
\(26\) | 3.60452 | + | 5.75850i | 0.706904 | + | 1.12933i | ||||
\(27\) | 0.170346 | − | 0.524271i | 0.0327831 | − | 0.100896i | ||||
\(28\) | 0.104448 | + | 0.195706i | 0.0197389 | + | 0.0369850i | ||||
\(29\) | −5.29624 | + | 7.28964i | −0.983486 | + | 1.35365i | −0.0485566 | + | 0.998820i | \(0.515462\pi\) |
−0.934930 | + | 0.354833i | \(0.884538\pi\) | |||||||
\(30\) | 7.72944 | − | 1.57029i | 1.41120 | − | 0.286695i | ||||
\(31\) | 2.87291 | − | 2.08729i | 0.515990 | − | 0.374889i | −0.299101 | − | 0.954221i | \(-0.596687\pi\) |
0.815091 | + | 0.579333i | \(0.196687\pi\) | |||||||
\(32\) | −1.91414 | + | 5.32316i | −0.338376 | + | 0.941011i | ||||
\(33\) | 2.52343 | + | 3.47320i | 0.439273 | + | 0.604607i | ||||
\(34\) | −0.497203 | − | 0.416546i | −0.0852696 | − | 0.0714371i | ||||
\(35\) | 0.136671 | + | 0.206963i | 0.0231017 | + | 0.0349832i | ||||
\(36\) | 4.64094 | + | 4.46782i | 0.773490 | + | 0.744637i | ||||
\(37\) | 0.500287 | + | 1.53972i | 0.0822467 | + | 0.253129i | 0.983721 | − | 0.179704i | \(-0.0575139\pi\) |
−0.901474 | + | 0.432833i | \(0.857514\pi\) | |||||||
\(38\) | 4.42728 | + | 3.70909i | 0.718200 | + | 0.601693i | ||||
\(39\) | −3.70252 | + | 11.3952i | −0.592877 | + | 1.82469i | ||||
\(40\) | −1.57578 | + | 6.12510i | −0.249153 | + | 0.968464i | ||||
\(41\) | −3.51556 | − | 10.8198i | −0.549039 | − | 1.68977i | −0.711188 | − | 0.703002i | \(-0.751843\pi\) |
0.162149 | − | 0.986766i | \(-0.448157\pi\) | |||||||
\(42\) | −0.146280 | + | 0.362865i | −0.0225715 | + | 0.0559913i | ||||
\(43\) | 10.5304 | 1.60588 | 0.802938 | − | 0.596063i | \(-0.203269\pi\) | ||||
0.802938 | + | 0.596063i | \(0.203269\pi\) | |||||||
\(44\) | −3.38926 | + | 0.603036i | −0.510950 | + | 0.0909111i | ||||
\(45\) | 5.63191 | + | 4.48957i | 0.839556 | + | 0.669265i | ||||
\(46\) | 9.06080 | + | 0.626536i | 1.33594 | + | 0.0923777i | ||||
\(47\) | 1.82373 | − | 2.51014i | 0.266018 | − | 0.366142i | −0.655022 | − | 0.755609i | \(-0.727341\pi\) |
0.921040 | + | 0.389467i | \(0.127341\pi\) | |||||||
\(48\) | −9.36449 | + | 3.44131i | −1.35165 | + | 0.496710i | ||||
\(49\) | 6.98770 | 0.998242 | ||||||||
\(50\) | −1.11553 | + | 6.98252i | −0.157759 | + | 0.987478i | ||||
\(51\) | − | 1.14397i | − | 0.160187i | ||||||
\(52\) | −6.92145 | − | 6.66327i | −0.959833 | − | 0.924029i | ||||
\(53\) | 3.71441 | + | 2.69868i | 0.510213 | + | 0.370692i | 0.812905 | − | 0.582397i | \(-0.197885\pi\) |
−0.302691 | + | 0.953089i | \(0.597885\pi\) | |||||||
\(54\) | −0.0537784 | + | 0.777730i | −0.00731832 | + | 0.105836i | ||||
\(55\) | −3.70992 | + | 1.02463i | −0.500246 | + | 0.138160i | ||||
\(56\) | −0.210462 | − | 0.232651i | −0.0281241 | − | 0.0310893i | ||||
\(57\) | 10.1863i | 1.34921i | ||||||||
\(58\) | 4.76436 | − | 11.8186i | 0.625592 | − | 1.55186i | ||||
\(59\) | 3.38621 | − | 1.10025i | 0.440847 | − | 0.143240i | −0.0801796 | − | 0.996780i | \(-0.525549\pi\) |
0.521026 | + | 0.853541i | \(0.325549\pi\) | |||||||
\(60\) | −10.0654 | + | 4.80704i | −1.29944 | + | 0.620586i | ||||
\(61\) | −11.1816 | − | 3.63312i | −1.43166 | − | 0.465174i | −0.512372 | − | 0.858764i | \(-0.671233\pi\) |
−0.919286 | + | 0.393590i | \(0.871233\pi\) | |||||||
\(62\) | −3.22512 | + | 3.84960i | −0.409590 | + | 0.488900i | ||||
\(63\) | −0.339779 | + | 0.110401i | −0.0428082 | + | 0.0139092i | ||||
\(64\) | 0.799218 | − | 7.95998i | 0.0999022 | − | 0.994997i | ||||
\(65\) | −8.39939 | − | 6.69570i | −1.04182 | − | 0.830499i | ||||
\(66\) | −4.65397 | − | 3.89900i | −0.572865 | − | 0.479934i | ||||
\(67\) | 3.02574 | − | 2.19833i | 0.369653 | − | 0.268569i | −0.387414 | − | 0.921906i | \(-0.626632\pi\) |
0.757067 | + | 0.653337i | \(0.226632\pi\) | |||||||
\(68\) | 0.825088 | + | 0.400840i | 0.100057 | + | 0.0486090i | ||||
\(69\) | 9.41535 | + | 12.9591i | 1.13348 | + | 1.56009i | ||||
\(70\) | −0.258533 | − | 0.237037i | −0.0309006 | − | 0.0283313i | ||||
\(71\) | 9.04844 | + | 6.57408i | 1.07385 | + | 0.780200i | 0.976601 | − | 0.215060i | \(-0.0689948\pi\) |
0.0972518 | + | 0.995260i | \(0.468995\pi\) | |||||||
\(72\) | −7.90041 | − | 4.53684i | −0.931072 | − | 0.534672i | ||||
\(73\) | 9.85476 | + | 3.20201i | 1.15341 | + | 0.374766i | 0.822428 | − | 0.568870i | \(-0.192619\pi\) |
0.330985 | + | 0.943636i | \(0.392619\pi\) | |||||||
\(74\) | −1.21479 | − | 1.94072i | −0.141216 | − | 0.225604i | ||||
\(75\) | −10.7033 | + | 6.40039i | −1.23591 | + | 0.739053i | ||||
\(76\) | −7.34690 | − | 3.56923i | −0.842747 | − | 0.409419i | ||||
\(77\) | 0.0589960 | − | 0.181571i | 0.00672322 | − | 0.0206919i | ||||
\(78\) | 1.16889 | − | 16.9042i | 0.132351 | − | 1.91402i | ||||
\(79\) | −4.45472 | − | 3.23655i | −0.501196 | − | 0.364140i | 0.308278 | − | 0.951296i | \(-0.400247\pi\) |
−0.809474 | + | 0.587156i | \(0.800247\pi\) | |||||||
\(80\) | 0.0597886 | − | 8.94407i | 0.00668456 | − | 0.999978i | ||||
\(81\) | 6.70522 | − | 4.87163i | 0.745025 | − | 0.541292i | ||||
\(82\) | 8.53642 | + | 13.6376i | 0.942690 | + | 1.50602i | ||||
\(83\) | 9.91061 | − | 7.20048i | 1.08783 | − | 0.790356i | 0.108800 | − | 0.994064i | \(-0.465299\pi\) |
0.979032 | + | 0.203708i | \(0.0652993\pi\) | |||||||
\(84\) | 0.0761547 | − | 0.548032i | 0.00830915 | − | 0.0597951i | ||||
\(85\) | 0.960247 | + | 0.360180i | 0.104153 | + | 0.0390670i | ||||
\(86\) | −14.4471 | + | 3.61397i | −1.55787 | + | 0.389704i | ||||
\(87\) | 21.3740 | − | 6.94483i | 2.29153 | − | 0.744564i | ||||
\(88\) | 4.44290 | − | 1.99050i | 0.473614 | − | 0.212188i | ||||
\(89\) | −2.07551 | + | 6.38776i | −0.220003 | + | 0.677101i | 0.778757 | + | 0.627326i | \(0.215850\pi\) |
−0.998760 | + | 0.0497752i | \(0.984150\pi\) | |||||||
\(90\) | −9.26743 | − | 4.22658i | −0.976873 | − | 0.445521i | ||||
\(91\) | 0.506744 | − | 0.164651i | 0.0531212 | − | 0.0172601i | ||||
\(92\) | −12.6459 | + | 2.25003i | −1.31843 | + | 0.234582i | ||||
\(93\) | −8.85717 | −0.918446 | ||||||||
\(94\) | −1.64058 | + | 4.06966i | −0.169213 | + | 0.419753i | ||||
\(95\) | −8.55040 | − | 3.20718i | −0.877253 | − | 0.329050i | ||||
\(96\) | 11.6665 | − | 7.93510i | 1.19070 | − | 0.809872i | ||||
\(97\) | −3.30362 | + | 4.54704i | −0.335431 | + | 0.461682i | −0.943100 | − | 0.332509i | \(-0.892105\pi\) |
0.607669 | + | 0.794191i | \(0.292105\pi\) | |||||||
\(98\) | −9.58670 | + | 2.39813i | −0.968403 | + | 0.242247i | ||||
\(99\) | − | 5.54415i | − | 0.557208i | ||||||
\(100\) | −0.865914 | − | 9.96244i | −0.0865914 | − | 0.996244i | ||||
\(101\) | − | 1.55640i | − | 0.154868i | −0.996997 | − | 0.0774339i | \(-0.975327\pi\) | ||
0.996997 | − | 0.0774339i | \(-0.0246727\pi\) | |||||||
\(102\) | 0.392601 | + | 1.56945i | 0.0388733 | + | 0.155399i | ||||
\(103\) | 2.77316 | − | 3.81692i | 0.273247 | − | 0.376092i | −0.650235 | − | 0.759733i | \(-0.725330\pi\) |
0.923483 | + | 0.383640i | \(0.125330\pi\) | |||||||
\(104\) | 11.7826 | + | 6.76621i | 1.15538 | + | 0.663481i | ||||
\(105\) | 0.0276373 | − | 0.617988i | 0.00269712 | − | 0.0603094i | ||||
\(106\) | −6.02211 | − | 2.42766i | −0.584919 | − | 0.235796i | ||||
\(107\) | −11.5454 | −1.11614 | −0.558070 | − | 0.829794i | \(-0.688458\pi\) | ||||
−0.558070 | + | 0.829794i | \(0.688458\pi\) | |||||||
\(108\) | −0.193130 | − | 1.08545i | −0.0185840 | − | 0.104448i | ||||
\(109\) | 1.79379 | − | 0.582837i | 0.171814 | − | 0.0558256i | −0.221847 | − | 0.975081i | \(-0.571209\pi\) |
0.393661 | + | 0.919256i | \(0.371209\pi\) | |||||||
\(110\) | 4.73815 | − | 2.67894i | 0.451765 | − | 0.255427i | ||||
\(111\) | 1.24781 | − | 3.84038i | 0.118437 | − | 0.364512i | ||||
\(112\) | 0.368585 | + | 0.246954i | 0.0348280 | + | 0.0233350i | ||||
\(113\) | 4.37045 | − | 1.42005i | 0.411137 | − | 0.133587i | −0.0961433 | − | 0.995367i | \(-0.530651\pi\) |
0.507281 | + | 0.861781i | \(0.330651\pi\) | |||||||
\(114\) | −3.49586 | − | 13.9750i | −0.327418 | − | 1.30888i | ||||
\(115\) | −13.8424 | + | 3.82305i | −1.29081 | + | 0.356502i | ||||
\(116\) | −2.48037 | + | 17.8495i | −0.230297 | + | 1.65728i | ||||
\(117\) | 12.5180 | − | 9.09485i | 1.15729 | − | 0.840819i | ||||
\(118\) | −4.26808 | + | 2.67159i | −0.392908 | + | 0.245940i | ||||
\(119\) | −0.0411565 | + | 0.0299019i | −0.00377281 | + | 0.00274111i | ||||
\(120\) | 12.1594 | − | 10.0493i | 1.11000 | − | 0.917375i | ||||
\(121\) | −6.50233 | − | 4.72422i | −0.591121 | − | 0.429475i | ||||
\(122\) | 16.5873 | + | 1.14698i | 1.50175 | + | 0.103843i | ||||
\(123\) | −8.76851 | + | 26.9867i | −0.790630 | + | 2.43331i | ||||
\(124\) | 3.10351 | − | 6.38826i | 0.278704 | − | 0.573683i | ||||
\(125\) | −2.00254 | − | 10.9995i | −0.179113 | − | 0.983829i | ||||
\(126\) | 0.428268 | − | 0.268073i | 0.0381531 | − | 0.0238819i | ||||
\(127\) | −7.73794 | − | 2.51421i | −0.686631 | − | 0.223100i | −0.0551347 | − | 0.998479i | \(-0.517559\pi\) |
−0.631496 | + | 0.775379i | \(0.717559\pi\) | |||||||
\(128\) | 1.63533 | + | 11.1949i | 0.144544 | + | 0.989498i | ||||
\(129\) | −21.2488 | − | 15.4382i | −1.87085 | − | 1.35925i | ||||
\(130\) | 13.8214 | + | 6.30349i | 1.21221 | + | 0.552852i | ||||
\(131\) | 12.7817 | + | 17.5926i | 1.11675 | + | 1.53707i | 0.811085 | + | 0.584929i | \(0.198878\pi\) |
0.305661 | + | 0.952140i | \(0.401122\pi\) | |||||||
\(132\) | 7.72308 | + | 3.75199i | 0.672208 | + | 0.326569i | ||||
\(133\) | 0.366473 | − | 0.266258i | 0.0317772 | − | 0.0230875i | ||||
\(134\) | −3.39668 | + | 4.05439i | −0.293429 | + | 0.350246i | ||||
\(135\) | −0.328150 | − | 1.18815i | −0.0282427 | − | 0.102260i | ||||
\(136\) | −1.26954 | − | 0.266764i | −0.108862 | − | 0.0228749i | ||||
\(137\) | 8.72303 | − | 2.83428i | 0.745259 | − | 0.242149i | 0.0883189 | − | 0.996092i | \(-0.471851\pi\) |
0.656940 | + | 0.753943i | \(0.271851\pi\) | |||||||
\(138\) | −17.3648 | − | 14.5479i | −1.47819 | − | 1.23840i | ||||
\(139\) | 13.0150 | + | 4.22884i | 1.10392 | + | 0.358685i | 0.803610 | − | 0.595156i | \(-0.202910\pi\) |
0.300310 | + | 0.953842i | \(0.402910\pi\) | |||||||
\(140\) | 0.436041 | + | 0.236473i | 0.0368522 | + | 0.0199857i | ||||
\(141\) | −7.36000 | + | 2.39141i | −0.619824 | + | 0.201393i | ||||
\(142\) | −14.6701 | − | 5.91388i | −1.23109 | − | 0.496282i | ||||
\(143\) | 8.26849i | 0.691446i | ||||||||
\(144\) | 12.3959 | + | 3.51291i | 1.03299 | + | 0.292743i | ||||
\(145\) | −0.900150 | + | 20.1280i | −0.0747534 | + | 1.67154i | ||||
\(146\) | −14.6190 | − | 1.01088i | −1.20988 | − | 0.0836608i | ||||
\(147\) | −14.1001 | − | 10.2443i | −1.16296 | − | 0.844938i | ||||
\(148\) | 2.33265 | + | 2.24564i | 0.191743 | + | 0.184590i | ||||
\(149\) | − | 14.8397i | − | 1.21572i | −0.794045 | − | 0.607859i | \(-0.792028\pi\) | ||
0.794045 | − | 0.607859i | \(-0.207972\pi\) | |||||||
\(150\) | 12.4877 | − | 12.4542i | 1.01962 | − | 1.01688i | ||||
\(151\) | −8.87251 | −0.722035 | −0.361017 | − | 0.932559i | \(-0.617570\pi\) | ||||
−0.361017 | + | 0.932559i | \(0.617570\pi\) | |||||||
\(152\) | 11.3044 | + | 2.37537i | 0.916911 | + | 0.192668i | ||||
\(153\) | −0.868348 | + | 1.19518i | −0.0702017 | + | 0.0966244i | ||||
\(154\) | −0.0186251 | + | 0.269352i | −0.00150085 | + | 0.0217050i | ||||
\(155\) | 2.78870 | − | 7.43473i | 0.223994 | − | 0.597172i | ||||
\(156\) | 4.19774 | + | 23.5927i | 0.336088 | + | 1.88892i | ||||
\(157\) | −4.71374 | −0.376197 | −0.188099 | − | 0.982150i | \(-0.560232\pi\) | ||||
−0.188099 | + | 0.982150i | \(0.560232\pi\) | |||||||
\(158\) | 7.22237 | + | 2.91152i | 0.574581 | + | 0.231628i | ||||
\(159\) | −3.53871 | − | 10.8910i | −0.280638 | − | 0.863715i | ||||
\(160\) | 2.98751 | + | 12.2912i | 0.236184 | + | 0.971708i | ||||
\(161\) | 0.220124 | − | 0.677473i | 0.0173482 | − | 0.0533923i | ||||
\(162\) | −7.52725 | + | 8.98477i | −0.591397 | + | 0.705910i | ||||
\(163\) | 3.09987 | + | 9.54040i | 0.242800 | + | 0.747262i | 0.995990 | + | 0.0894595i | \(0.0285139\pi\) |
−0.753190 | + | 0.657803i | \(0.771486\pi\) | |||||||
\(164\) | −16.3918 | − | 15.7803i | −1.27998 | − | 1.23224i | ||||
\(165\) | 8.98821 | + | 3.37140i | 0.699731 | + | 0.262463i | ||||
\(166\) | −11.1256 | + | 13.2799i | −0.863515 | + | 1.03072i | ||||
\(167\) | 4.72830 | + | 6.50795i | 0.365887 | + | 0.503601i | 0.951777 | − | 0.306790i | \(-0.0992549\pi\) |
−0.585890 | + | 0.810391i | \(0.699255\pi\) | |||||||
\(168\) | 0.0836008 | + | 0.778002i | 0.00644994 | + | 0.0600242i | ||||
\(169\) | −8.15199 | + | 5.92277i | −0.627076 | + | 0.455597i | ||||
\(170\) | −1.44101 | − | 0.164596i | −0.110521 | − | 0.0126239i | ||||
\(171\) | 7.73210 | − | 10.6423i | 0.591288 | − | 0.813838i | ||||
\(172\) | 18.5803 | − | 9.91629i | 1.41673 | − | 0.756110i | ||||
\(173\) | 3.07351 | − | 9.45929i | 0.233675 | − | 0.719176i | −0.763620 | − | 0.645666i | \(-0.776580\pi\) |
0.997294 | − | 0.0735104i | \(-0.0234202\pi\) | |||||||
\(174\) | −26.9404 | + | 16.8633i | −2.04235 | + | 1.27840i | ||||
\(175\) | 0.510038 | + | 0.217774i | 0.0385553 | + | 0.0164621i | ||||
\(176\) | −5.41226 | + | 4.25561i | −0.407965 | + | 0.320779i | ||||
\(177\) | −8.44586 | − | 2.74423i | −0.634830 | − | 0.206269i | ||||
\(178\) | 0.655240 | − | 9.47592i | 0.0491123 | − | 0.710250i | ||||
\(179\) | 7.39861 | − | 10.1833i | 0.552998 | − | 0.761136i | −0.437417 | − | 0.899259i | \(-0.644107\pi\) |
0.990415 | + | 0.138122i | \(0.0441068\pi\) | |||||||
\(180\) | 14.1649 | + | 2.61810i | 1.05579 | + | 0.195142i | ||||
\(181\) | 7.67562 | + | 10.5646i | 0.570524 | + | 0.785259i | 0.992617 | − | 0.121293i | \(-0.0387042\pi\) |
−0.422092 | + | 0.906553i | \(0.638704\pi\) | |||||||
\(182\) | −0.638715 | + | 0.399802i | −0.0473447 | + | 0.0296353i | ||||
\(183\) | 17.2364 | + | 23.7239i | 1.27415 | + | 1.75372i | ||||
\(184\) | 16.5772 | − | 7.42689i | 1.22209 | − | 0.547517i | ||||
\(185\) | 2.83074 | + | 2.25657i | 0.208120 | + | 0.165906i | ||||
\(186\) | 12.1515 | − | 3.03972i | 0.890992 | − | 0.222883i | ||||
\(187\) | −0.243953 | − | 0.750811i | −0.0178396 | − | 0.0549048i | ||||
\(188\) | 0.854100 | − | 6.14636i | 0.0622917 | − | 0.448269i | ||||
\(189\) | 0.0581506 | + | 0.0188943i | 0.00422983 | + | 0.00137436i | ||||
\(190\) | 12.8313 | + | 1.46563i | 0.930882 | + | 0.106328i | ||||
\(191\) | 0.889107 | + | 2.73639i | 0.0643335 | + | 0.197998i | 0.978057 | − | 0.208339i | \(-0.0668058\pi\) |
−0.913723 | + | 0.406337i | \(0.866806\pi\) | |||||||
\(192\) | −13.2824 | + | 14.8903i | −0.958577 | + | 1.07462i | ||||
\(193\) | 15.9019i | 1.14464i | 0.820029 | + | 0.572322i | \(0.193957\pi\) | ||||
−0.820029 | + | 0.572322i | \(0.806043\pi\) | |||||||
\(194\) | 2.97185 | − | 7.37204i | 0.213366 | − | 0.529281i | ||||
\(195\) | 7.13243 | + | 25.8248i | 0.510764 | + | 1.84935i | ||||
\(196\) | 12.3294 | − | 6.58017i | 0.880668 | − | 0.470012i | ||||
\(197\) | 3.78454 | + | 2.74963i | 0.269637 | + | 0.195903i | 0.714385 | − | 0.699753i | \(-0.246707\pi\) |
−0.444748 | + | 0.895656i | \(0.646707\pi\) | |||||||
\(198\) | 1.90271 | + | 7.60623i | 0.135220 | + | 0.540552i | ||||
\(199\) | 28.0439 | 1.98798 | 0.993988 | − | 0.109488i | \(-0.0349211\pi\) | ||||
0.993988 | + | 0.109488i | \(0.0349211\pi\) | |||||||
\(200\) | 4.60702 | + | 13.3707i | 0.325765 | + | 0.945451i | ||||
\(201\) | −9.32834 | −0.657971 | ||||||||
\(202\) | 0.534146 | + | 2.13529i | 0.0375824 | + | 0.150239i | ||||
\(203\) | −0.808546 | − | 0.587443i | −0.0567488 | − | 0.0412304i | ||||
\(204\) | −1.07725 | − | 2.01846i | −0.0754225 | − | 0.141320i | ||||
\(205\) | −19.8919 | − | 15.8571i | −1.38931 | − | 1.10751i | ||||
\(206\) | −2.49466 | + | 6.18831i | −0.173811 | + | 0.431160i | ||||
\(207\) | − | 20.6862i | − | 1.43779i | ||||||
\(208\) | −18.4871 | − | 5.23913i | −1.28185 | − | 0.363268i | ||||
\(209\) | 2.17225 | + | 6.68551i | 0.150258 | + | 0.462446i | ||||
\(210\) | 0.174172 | + | 0.857327i | 0.0120190 | + | 0.0591612i | ||||
\(211\) | 0.310359 | + | 0.100842i | 0.0213660 | + | 0.00694223i | 0.319680 | − | 0.947525i | \(-0.396424\pi\) |
−0.298315 | + | 0.954468i | \(0.596424\pi\) | |||||||
\(212\) | 9.09513 | + | 1.26386i | 0.624656 | + | 0.0868025i | ||||
\(213\) | −8.62043 | − | 26.5310i | −0.590662 | − | 1.81787i | ||||
\(214\) | 15.8396 | − | 3.96231i | 1.08278 | − | 0.270858i | ||||
\(215\) | 19.6491 | − | 12.9755i | 1.34005 | − | 0.884924i | ||||
\(216\) | 0.637484 | + | 1.42290i | 0.0433753 | + | 0.0968159i | ||||
\(217\) | 0.231516 | + | 0.318655i | 0.0157163 | + | 0.0216317i | ||||
\(218\) | −2.26094 | + | 1.41523i | −0.153130 | + | 0.0958516i | ||||
\(219\) | −15.1911 | − | 20.9087i | −1.02652 | − | 1.41288i | ||||
\(220\) | −5.58106 | + | 5.30145i | −0.376275 | + | 0.357423i | ||||
\(221\) | 1.29505 | − | 1.78248i | 0.0871142 | − | 0.119902i | ||||
\(222\) | −0.393936 | + | 5.69700i | −0.0264393 | + | 0.382358i | ||||
\(223\) | −11.2099 | − | 3.64231i | −0.750669 | − | 0.243907i | −0.0914002 | − | 0.995814i | \(-0.529134\pi\) |
−0.659269 | + | 0.751907i | \(0.729134\pi\) | |||||||
\(224\) | −0.590429 | − | 0.212311i | −0.0394497 | − | 0.0141856i | ||||
\(225\) | 16.0408 | + | 1.43761i | 1.06939 | + | 0.0958404i | ||||
\(226\) | −5.50865 | + | 3.44812i | −0.366430 | + | 0.229366i | ||||
\(227\) | 0.324287 | − | 0.998051i | 0.0215237 | − | 0.0662430i | −0.939718 | − | 0.341951i | \(-0.888912\pi\) |
0.961241 | + | 0.275708i | \(0.0889123\pi\) | |||||||
\(228\) | 9.59223 | + | 17.9731i | 0.635261 | + | 1.19030i | ||||
\(229\) | −11.8902 | + | 16.3654i | −0.785723 | + | 1.08146i | 0.208904 | + | 0.977936i | \(0.433010\pi\) |
−0.994627 | + | 0.103519i | \(0.966990\pi\) | |||||||
\(230\) | 17.6788 | − | 9.99560i | 1.16571 | − | 0.659090i | ||||
\(231\) | −0.385237 | + | 0.279891i | −0.0253468 | + | 0.0184155i | ||||
\(232\) | −2.72289 | − | 25.3397i | −0.178767 | − | 1.66363i | ||||
\(233\) | −15.4318 | − | 21.2400i | −1.01097 | − | 1.39148i | −0.918347 | − | 0.395777i | \(-0.870475\pi\) |
−0.0926216 | − | 0.995701i | \(-0.529525\pi\) | |||||||
\(234\) | −14.0526 | + | 16.7737i | −0.918649 | + | 1.09653i | ||||
\(235\) | 0.309961 | − | 6.93094i | 0.0202196 | − | 0.452125i | ||||
\(236\) | 4.93867 | − | 5.13004i | 0.321480 | − | 0.333937i | ||||
\(237\) | 4.24401 | + | 13.0617i | 0.275678 | + | 0.848449i | ||||
\(238\) | 0.0462021 | − | 0.0551482i | 0.00299484 | − | 0.00357473i | ||||
\(239\) | −2.69865 | + | 8.30559i | −0.174561 | + | 0.537244i | −0.999613 | − | 0.0278129i | \(-0.991146\pi\) |
0.825052 | + | 0.565057i | \(0.191146\pi\) | |||||||
\(240\) | −13.2331 | + | 17.9601i | −0.854194 | + | 1.15932i | ||||
\(241\) | 0.110550 | + | 0.340238i | 0.00712115 | + | 0.0219166i | 0.954554 | − | 0.298038i | \(-0.0963323\pi\) |
−0.947433 | + | 0.319955i | \(0.896332\pi\) | |||||||
\(242\) | 10.5421 | + | 4.24979i | 0.677673 | + | 0.273187i | ||||
\(243\) | −22.3259 | −1.43221 | ||||||||
\(244\) | −23.1505 | + | 4.11907i | −1.48206 | + | 0.263696i | ||||
\(245\) | 13.0386 | − | 8.61020i | 0.833003 | − | 0.550086i | ||||
\(246\) | 2.76823 | − | 40.0334i | 0.176496 | − | 2.55244i | ||||
\(247\) | −11.5316 | + | 15.8719i | −0.733737 | + | 1.00990i | ||||
\(248\) | −2.06543 | + | 9.82941i | −0.131155 | + | 0.624168i | ||||
\(249\) | −30.5544 | −1.93631 | ||||||||
\(250\) | 6.52233 | + | 14.4034i | 0.412508 | + | 0.910954i | ||||
\(251\) | − | 20.0370i | − | 1.26473i | −0.774672 | − | 0.632363i | \(-0.782085\pi\) | ||
0.774672 | − | 0.632363i | \(-0.217915\pi\) | |||||||
\(252\) | −0.495557 | + | 0.514759i | −0.0312172 | + | 0.0324268i | ||||
\(253\) | 8.94308 | + | 6.49753i | 0.562247 | + | 0.408496i | ||||
\(254\) | 11.4788 | + | 0.793738i | 0.720247 | + | 0.0498036i | ||||
\(255\) | −1.40959 | − | 2.13456i | −0.0882718 | − | 0.133671i | ||||
\(256\) | −6.08558 | − | 14.7975i | −0.380349 | − | 0.924843i | ||||
\(257\) | − | 18.7305i | − | 1.16838i | −0.811617 | − | 0.584190i | \(-0.801412\pi\) | ||
0.811617 | − | 0.584190i | \(-0.198588\pi\) | |||||||
\(258\) | 34.4503 | + | 13.8878i | 2.14478 | + | 0.864616i | ||||
\(259\) | −0.170782 | + | 0.0554903i | −0.0106119 | + | 0.00344800i | ||||
\(260\) | −21.1254 | − | 3.90461i | −1.31014 | − | 0.242154i | ||||
\(261\) | −27.6024 | − | 8.96858i | −1.70855 | − | 0.555141i | ||||
\(262\) | −23.5734 | − | 19.7493i | −1.45637 | − | 1.22012i | ||||
\(263\) | −15.6804 | + | 5.09486i | −0.966892 | + | 0.314162i | −0.749561 | − | 0.661936i | \(-0.769735\pi\) |
−0.217331 | + | 0.976098i | \(0.569735\pi\) | |||||||
\(264\) | −11.8833 | − | 2.49700i | −0.731364 | − | 0.153680i | ||||
\(265\) | 10.2561 | + | 0.458668i | 0.630029 | + | 0.0281758i | ||||
\(266\) | −0.411401 | + | 0.491061i | −0.0252246 | + | 0.0301089i | ||||
\(267\) | 13.5528 | − | 9.84671i | 0.829420 | − | 0.602609i | ||||
\(268\) | 3.26861 | − | 6.72809i | 0.199662 | − | 0.410984i | ||||
\(269\) | 0.0856192 | + | 0.117845i | 0.00522029 | + | 0.00718512i | 0.811619 | − | 0.584187i | \(-0.198586\pi\) |
−0.806399 | + | 0.591372i | \(0.798586\pi\) | |||||||
\(270\) | 0.857968 | + | 1.51746i | 0.0522142 | + | 0.0923494i | ||||
\(271\) | −12.4072 | − | 9.01437i | −0.753684 | − | 0.547584i | 0.143282 | − | 0.989682i | \(-0.454234\pi\) |
−0.896967 | + | 0.442098i | \(0.854234\pi\) | |||||||
\(272\) | 1.83328 | − | 0.0697110i | 0.111159 | − | 0.00422685i | ||||
\(273\) | −1.26392 | − | 0.410672i | −0.0764958 | − | 0.0248550i | ||||
\(274\) | −10.9948 | + | 6.88215i | −0.664218 | + | 0.415766i | ||||
\(275\) | −5.65992 | + | 6.48323i | −0.341306 | + | 0.390953i | ||||
\(276\) | 28.8161 | + | 13.9993i | 1.73453 | + | 0.842660i | ||||
\(277\) | −6.39942 | + | 19.6954i | −0.384504 | + | 1.18338i | 0.552336 | + | 0.833622i | \(0.313737\pi\) |
−0.936840 | + | 0.349759i | \(0.886263\pi\) | |||||||
\(278\) | −19.3071 | − | 1.33505i | −1.15797 | − | 0.0800709i | ||||
\(279\) | 9.25369 | + | 6.72320i | 0.554004 | + | 0.402507i | ||||
\(280\) | −0.679378 | − | 0.174781i | −0.0406006 | − | 0.0104452i | ||||
\(281\) | −8.56374 | + | 6.22192i | −0.510870 | + | 0.371169i | −0.813153 | − | 0.582049i | \(-0.802251\pi\) |
0.302284 | + | 0.953218i | \(0.402251\pi\) | |||||||
\(282\) | 9.27677 | − | 5.80677i | 0.552423 | − | 0.345788i | ||||
\(283\) | 16.6426 | − | 12.0915i | 0.989298 | − | 0.718767i | 0.0295305 | − | 0.999564i | \(-0.490599\pi\) |
0.959767 | + | 0.280797i | \(0.0905988\pi\) | |||||||
\(284\) | 22.1561 | + | 3.07882i | 1.31472 | + | 0.182694i | ||||
\(285\) | 12.5515 | + | 19.0069i | 0.743487 | + | 1.12587i | ||||
\(286\) | −2.83769 | − | 11.3439i | −0.167796 | − | 0.670777i | ||||
\(287\) | 1.20010 | − | 0.389936i | 0.0708396 | − | 0.0230172i | ||||
\(288\) | −18.2120 | − | 0.565321i | −1.07315 | − | 0.0333118i | ||||
\(289\) | 5.18828 | − | 15.9679i | 0.305193 | − | 0.939288i | ||||
\(290\) | −5.67282 | − | 27.9233i | −0.333119 | − | 1.63971i | ||||
\(291\) | 13.3324 | − | 4.33195i | 0.781558 | − | 0.253944i | ||||
\(292\) | 20.4034 | − | 3.63029i | 1.19402 | − | 0.212446i | ||||
\(293\) | 0.603128 | 0.0352351 | 0.0176176 | − | 0.999845i | \(-0.494392\pi\) | ||||
0.0176176 | + | 0.999845i | \(0.494392\pi\) | |||||||
\(294\) | 22.8603 | + | 9.21554i | 1.33324 | + | 0.537461i | ||||
\(295\) | 4.96271 | − | 6.22545i | 0.288940 | − | 0.362459i | ||||
\(296\) | −3.97095 | − | 2.28033i | −0.230807 | − | 0.132542i | ||||
\(297\) | −0.557713 | + | 0.767625i | −0.0323618 | + | 0.0445421i | ||||
\(298\) | 5.09289 | + | 20.3592i | 0.295023 | + | 1.17938i | ||||
\(299\) | 30.8512i | 1.78417i | ||||||||
\(300\) | −12.8582 | + | 21.3722i | −0.742367 | + | 1.23392i | ||||
\(301\) | 1.16800i | 0.0673226i | ||||||||
\(302\) | 12.1726 | − | 3.04498i | 0.700452 | − | 0.175219i | ||||
\(303\) | −2.28177 | + | 3.14058i | −0.131084 | + | 0.180422i | ||||
\(304\) | −16.3242 | + | 0.620733i | −0.936258 | + | 0.0356015i | ||||
\(305\) | −25.3408 | + | 6.99875i | −1.45101 | + | 0.400747i | ||||
\(306\) | 0.781144 | − | 1.93772i | 0.0446550 | − | 0.110772i | ||||
\(307\) | −9.96251 | −0.568591 | −0.284295 | − | 0.958737i | \(-0.591760\pi\) | ||||
−0.284295 | + | 0.958737i | \(0.591760\pi\) | |||||||
\(308\) | −0.0668870 | − | 0.375926i | −0.00381124 | − | 0.0214204i | ||||
\(309\) | −11.1916 | + | 3.63637i | −0.636668 | + | 0.206866i | ||||
\(310\) | −1.27439 | + | 11.1571i | −0.0723804 | + | 0.633678i | ||||
\(311\) | −7.52782 | + | 23.1683i | −0.426864 | + | 1.31375i | 0.474335 | + | 0.880344i | \(0.342689\pi\) |
−0.901198 | + | 0.433407i | \(0.857311\pi\) | |||||||
\(312\) | −13.8559 | − | 30.9271i | −0.784435 | − | 1.75090i | ||||
\(313\) | 17.7993 | − | 5.78333i | 1.00607 | − | 0.326893i | 0.240784 | − | 0.970579i | \(-0.422596\pi\) |
0.765290 | + | 0.643686i | \(0.222596\pi\) | |||||||
\(314\) | 6.46697 | − | 1.61772i | 0.364952 | − | 0.0912933i | ||||
\(315\) | −0.497969 | + | 0.624675i | −0.0280574 | + | 0.0351964i | ||||
\(316\) | −10.9079 | − | 1.51576i | −0.613616 | − | 0.0852683i | ||||
\(317\) | 23.0942 | − | 16.7789i | 1.29710 | − | 0.942397i | 0.297175 | − | 0.954823i | \(-0.403955\pi\) |
0.999923 | + | 0.0124261i | \(0.00395545\pi\) | |||||||
\(318\) | 8.59262 | + | 13.7274i | 0.481850 | + | 0.769793i | ||||
\(319\) | 12.5472 | − | 9.11611i | 0.702511 | − | 0.510404i | ||||
\(320\) | −8.31696 | − | 15.8376i | −0.464932 | − | 0.885346i | ||||
\(321\) | 23.2969 | + | 16.9262i | 1.30031 | + | 0.944728i | ||||
\(322\) | −0.0694935 | + | 1.00500i | −0.00387272 | + | 0.0560063i | ||||
\(323\) | 0.578830 | − | 1.78145i | 0.0322069 | − | 0.0991228i | ||||
\(324\) | 7.24343 | − | 14.9099i | 0.402413 | − | 0.828325i | ||||
\(325\) | −23.9231 | − | 2.14403i | −1.32701 | − | 0.118930i | ||||
\(326\) | −7.52703 | − | 12.0250i | −0.416883 | − | 0.666004i | ||||
\(327\) | −4.47406 | − | 1.45371i | −0.247416 | − | 0.0803903i | ||||
\(328\) | 27.9042 | + | 16.0241i | 1.54075 | + | 0.884783i | ||||
\(329\) | 0.278418 | + | 0.202282i | 0.0153497 | + | 0.0111522i | ||||
\(330\) | −13.4883 | − | 1.54067i | −0.742508 | − | 0.0848111i | ||||
\(331\) | 2.10228 | + | 2.89354i | 0.115552 | + | 0.159043i | 0.862875 | − | 0.505417i | \(-0.168661\pi\) |
−0.747323 | + | 0.664461i | \(0.768661\pi\) | |||||||
\(332\) | 10.7061 | − | 22.0374i | 0.587574 | − | 1.20946i | ||||
\(333\) | −4.21878 | + | 3.06512i | −0.231188 | + | 0.167968i | ||||
\(334\) | −8.72043 | − | 7.30580i | −0.477161 | − | 0.399756i | ||||
\(335\) | 2.93705 | − | 7.83023i | 0.160468 | − | 0.427811i | ||||
\(336\) | −0.381700 | − | 1.03868i | −0.0208234 | − | 0.0566647i | ||||
\(337\) | −9.35059 | + | 3.03819i | −0.509359 | + | 0.165501i | −0.552411 | − | 0.833572i | \(-0.686292\pi\) |
0.0430517 | + | 0.999073i | \(0.486292\pi\) | |||||||
\(338\) | 9.15139 | − | 10.9234i | 0.497770 | − | 0.594154i | ||||
\(339\) | −10.9008 | − | 3.54187i | −0.592048 | − | 0.192368i | ||||
\(340\) | 2.03347 | − | 0.268729i | 0.110280 | − | 0.0145739i | ||||
\(341\) | −5.81317 | + | 1.88881i | −0.314801 | + | 0.102285i | ||||
\(342\) | −6.95560 | + | 17.2542i | −0.376116 | + | 0.933001i | ||||
\(343\) | 1.55147i | 0.0837717i | ||||||||
\(344\) | −22.0878 | + | 19.9812i | −1.19090 | + | 1.07731i | ||||
\(345\) | 33.5366 | + | 12.5793i | 1.80555 | + | 0.677245i | ||||
\(346\) | −0.970311 | + | 14.0324i | −0.0521642 | + | 0.754386i | ||||
\(347\) | −12.7780 | − | 9.28373i | −0.685957 | − | 0.498377i | 0.189372 | − | 0.981905i | \(-0.439355\pi\) |
−0.875329 | + | 0.483529i | \(0.839355\pi\) | |||||||
\(348\) | 31.1733 | − | 32.3812i | 1.67106 | − | 1.73581i | ||||
\(349\) | 7.78786i | 0.416875i | 0.978036 | + | 0.208437i | \(0.0668377\pi\) | ||||
−0.978036 | + | 0.208437i | \(0.933162\pi\) | |||||||
\(350\) | −0.774480 | − | 0.123731i | −0.0413977 | − | 0.00661370i | ||||
\(351\) | −2.64810 | −0.141345 | ||||||||
\(352\) | 5.96480 | − | 7.69589i | 0.317925 | − | 0.410192i | ||||
\(353\) | −6.60894 | + | 9.09643i | −0.351759 | + | 0.484154i | −0.947830 | − | 0.318778i | \(-0.896728\pi\) |
0.596071 | + | 0.802932i | \(0.296728\pi\) | |||||||
\(354\) | 12.5290 | + | 0.866356i | 0.665910 | + | 0.0460463i | ||||
\(355\) | 24.9843 | + | 1.11733i | 1.32603 | + | 0.0593019i | ||||
\(356\) | 2.35312 | + | 13.2253i | 0.124715 | + | 0.700937i | ||||
\(357\) | 0.126885 | 0.00671548 | ||||||||
\(358\) | −6.65560 | + | 16.5100i | −0.351760 | + | 0.872582i | ||||
\(359\) | −3.14405 | − | 9.67639i | −0.165937 | − | 0.510700i | 0.833167 | − | 0.553021i | \(-0.186525\pi\) |
−0.999104 | + | 0.0423204i | \(0.986525\pi\) | |||||||
\(360\) | −20.3319 | + | 1.26941i | −1.07158 | + | 0.0669037i | ||||
\(361\) | 0.717206 | − | 2.20733i | 0.0377477 | − | 0.116175i | ||||
\(362\) | −14.1562 | − | 11.8598i | −0.744032 | − | 0.623335i | ||||
\(363\) | 6.19476 | + | 19.0655i | 0.325141 | + | 1.00068i | ||||
\(364\) | 0.739070 | − | 0.767707i | 0.0387378 | − | 0.0402388i | ||||
\(365\) | 22.3338 | − | 6.16826i | 1.16900 | − | 0.322862i | ||||
\(366\) | −31.7892 | − | 26.6323i | −1.66165 | − | 1.39209i | ||||
\(367\) | −7.13356 | − | 9.81851i | −0.372369 | − | 0.512522i | 0.581174 | − | 0.813779i | \(-0.302594\pi\) |
−0.953543 | + | 0.301257i | \(0.902594\pi\) | |||||||
\(368\) | −20.1941 | + | 15.8784i | −1.05269 | + | 0.827720i | ||||
\(369\) | 29.6458 | − | 21.5389i | 1.54330 | − | 1.12127i | ||||
\(370\) | −4.65804 | − | 2.12439i | −0.242160 | − | 0.110442i | ||||
\(371\) | −0.299329 | + | 0.411991i | −0.0155404 | + | 0.0213895i | ||||
\(372\) | −15.6279 | + | 8.34062i | −0.810270 | + | 0.432441i | ||||
\(373\) | 2.30235 | − | 7.08589i | 0.119211 | − | 0.366894i | −0.873591 | − | 0.486661i | \(-0.838215\pi\) |
0.992802 | + | 0.119767i | \(0.0382148\pi\) | |||||||
\(374\) | 0.592362 | + | 0.946345i | 0.0306303 | + | 0.0489343i | ||||
\(375\) | −12.0851 | + | 25.1312i | −0.624070 | + | 1.29777i | ||||
\(376\) | 0.937612 | + | 8.72556i | 0.0483536 | + | 0.449986i | ||||
\(377\) | 41.1660 | + | 13.3757i | 2.12016 | + | 0.688881i | ||||
\(378\) | −0.0862635 | − | 0.00596494i | −0.00443691 | − | 0.000306804i | ||||
\(379\) | −3.70220 | + | 5.09564i | −0.190169 | + | 0.261746i | −0.893446 | − | 0.449171i | \(-0.851719\pi\) |
0.703277 | + | 0.710916i | \(0.251719\pi\) | |||||||
\(380\) | −18.1068 | + | 2.39286i | −0.928858 | + | 0.122751i | ||||
\(381\) | 11.9280 | + | 16.4175i | 0.611091 | + | 0.841094i | ||||
\(382\) | −2.15891 | − | 3.44903i | −0.110460 | − | 0.176468i | ||||
\(383\) | −16.8385 | − | 23.1761i | −0.860405 | − | 1.18425i | −0.981473 | − | 0.191601i | \(-0.938632\pi\) |
0.121068 | − | 0.992644i | \(-0.461368\pi\) | |||||||
\(384\) | 13.1125 | − | 24.9871i | 0.669142 | − | 1.27512i | ||||
\(385\) | −0.113648 | − | 0.411494i | −0.00579206 | − | 0.0209717i | ||||
\(386\) | −5.45742 | − | 21.8164i | −0.277775 | − | 1.11043i | ||||
\(387\) | 10.4814 | + | 32.2586i | 0.532802 | + | 1.63979i | ||||
\(388\) | −1.54717 | + | 11.1339i | −0.0785457 | + | 0.565239i | ||||
\(389\) | −0.660483 | − | 0.214604i | −0.0334878 | − | 0.0108808i | 0.292225 | − | 0.956350i | \(-0.405604\pi\) |
−0.325713 | + | 0.945469i | \(0.605604\pi\) | |||||||
\(390\) | −18.6482 | − | 32.9823i | −0.944286 | − | 1.67012i | ||||
\(391\) | −0.910232 | − | 2.80141i | −0.0460324 | − | 0.141673i | ||||
\(392\) | −14.6569 | + | 13.2589i | −0.740284 | + | 0.669678i | ||||
\(393\) | − | 54.2378i | − | 2.73593i | ||||||
\(394\) | −6.13581 | − | 2.47350i | −0.309118 | − | 0.124613i | ||||
\(395\) | −12.3003 | − | 0.550085i | −0.618893 | − | 0.0276778i | ||||
\(396\) | −5.22081 | − | 9.78230i | −0.262356 | − | 0.491579i | ||||
\(397\) | 16.9780 | + | 12.3352i | 0.852099 | + | 0.619086i | 0.925724 | − | 0.378200i | \(-0.123457\pi\) |
−0.0736250 | + | 0.997286i | \(0.523457\pi\) | |||||||
\(398\) | −38.4745 | + | 9.62445i | −1.92855 | + | 0.482430i | ||||
\(399\) | −1.12983 | −0.0565625 | ||||||||
\(400\) | −10.9093 | − | 16.7627i | −0.545464 | − | 0.838134i | ||||
\(401\) | 18.7715 | 0.937404 | 0.468702 | − | 0.883356i | \(-0.344722\pi\) | ||||
0.468702 | + | 0.883356i | \(0.344722\pi\) | |||||||
\(402\) | 12.7979 | − | 3.20142i | 0.638302 | − | 0.159672i | ||||
\(403\) | −13.8009 | − | 10.0269i | −0.687470 | − | 0.499476i | ||||
\(404\) | −1.46563 | − | 2.74617i | −0.0729179 | − | 0.136627i | ||||
\(405\) | 6.50869 | − | 17.3523i | 0.323419 | − | 0.862241i | ||||
\(406\) | 1.31088 | + | 0.528449i | 0.0650580 | + | 0.0262265i | ||||
\(407\) | − | 2.78663i | − | 0.138128i | ||||||
\(408\) | 2.17064 | + | 2.39950i | 0.107463 | + | 0.118793i | ||||
\(409\) | 11.2943 | + | 34.7602i | 0.558465 | + | 1.71878i | 0.686611 | + | 0.727025i | \(0.259097\pi\) |
−0.128146 | + | 0.991755i | \(0.540903\pi\) | |||||||
\(410\) | 32.7325 | + | 14.9283i | 1.61654 | + | 0.737255i | ||||
\(411\) | −21.7569 | − | 7.06926i | −1.07319 | − | 0.348701i | ||||
\(412\) | 1.29874 | − | 9.34614i | 0.0639845 | − | 0.460451i | ||||
\(413\) | 0.122036 | + | 0.375588i | 0.00600499 | + | 0.0184815i | ||||
\(414\) | 7.09934 | + | 28.3802i | 0.348914 | + | 1.39481i | ||||
\(415\) | 9.62012 | − | 25.6474i | 0.472233 | − | 1.25898i | ||||
\(416\) | 27.1613 | + | 0.843114i | 1.33169 | + | 0.0413371i | ||||
\(417\) | −20.0626 | − | 27.6138i | −0.982471 | − | 1.35226i | ||||
\(418\) | −5.27462 | − | 8.42661i | −0.257990 | − | 0.412159i | ||||
\(419\) | 6.06690 | + | 8.35037i | 0.296387 | + | 0.407942i | 0.931076 | − | 0.364826i | \(-0.118872\pi\) |
−0.634688 | + | 0.772768i | \(0.718872\pi\) | |||||||
\(420\) | −0.533182 | − | 1.11643i | −0.0260166 | − | 0.0544760i | ||||
\(421\) | −7.12906 | + | 9.81232i | −0.347449 | + | 0.478223i | −0.946599 | − | 0.322414i | \(-0.895506\pi\) |
0.599149 | + | 0.800637i | \(0.295506\pi\) | |||||||
\(422\) | −0.460402 | − | 0.0318358i | −0.0224120 | − | 0.00154974i | ||||
\(423\) | 9.50473 | + | 3.08828i | 0.462136 | + | 0.150157i | ||||
\(424\) | −12.9117 | + | 1.38744i | −0.627049 | + | 0.0673800i | ||||
\(425\) | 2.23557 | − | 0.511139i | 0.108441 | − | 0.0247939i | ||||
\(426\) | 20.9320 | + | 33.4404i | 1.01416 | + | 1.62019i | ||||
\(427\) | 0.402975 | − | 1.24023i | 0.0195013 | − | 0.0600189i | ||||
\(428\) | −20.3712 | + | 10.8721i | −0.984679 | + | 0.525523i | ||||
\(429\) | 12.1220 | − | 16.6845i | 0.585257 | − | 0.805538i | ||||
\(430\) | −22.5042 | + | 24.5451i | −1.08525 | + | 1.18367i | ||||
\(431\) | −24.8747 | + | 18.0726i | −1.19817 | + | 0.870525i | −0.994104 | − | 0.108432i | \(-0.965417\pi\) |
−0.204070 | + | 0.978956i | \(0.565417\pi\) | |||||||
\(432\) | −1.36292 | − | 1.73335i | −0.0655734 | − | 0.0833959i | ||||
\(433\) | 2.65013 | + | 3.64760i | 0.127357 | + | 0.175292i | 0.867934 | − | 0.496680i | \(-0.165448\pi\) |
−0.740577 | + | 0.671972i | \(0.765448\pi\) | |||||||
\(434\) | −0.426986 | − | 0.357720i | −0.0204960 | − | 0.0171711i | ||||
\(435\) | 31.3250 | − | 39.2955i | 1.50192 | − | 1.88407i | ||||
\(436\) | 2.61618 | − | 2.71755i | 0.125292 | − | 0.130147i | ||||
\(437\) | 8.10505 | + | 24.9448i | 0.387717 | + | 1.19327i | ||||
\(438\) | 28.0170 | + | 23.4721i | 1.33870 | + | 1.12154i | ||||
\(439\) | 3.68407 | − | 11.3384i | 0.175831 | − | 0.541153i | −0.823839 | − | 0.566824i | \(-0.808172\pi\) |
0.999670 | + | 0.0256706i | \(0.00817212\pi\) | |||||||
\(440\) | 5.83746 | − | 9.18864i | 0.278290 | − | 0.438051i | ||||
\(441\) | 6.95519 | + | 21.4059i | 0.331200 | + | 1.01933i | ||||
\(442\) | −1.16499 | + | 2.88990i | −0.0554130 | + | 0.137459i | ||||
\(443\) | −4.00502 | −0.190284 | −0.0951422 | − | 0.995464i | \(-0.530331\pi\) | ||||
−0.0951422 | + | 0.995464i | \(0.530331\pi\) | |||||||
\(444\) | −1.41471 | − | 7.95114i | −0.0671393 | − | 0.377345i | ||||
\(445\) | 3.99820 | + | 14.4765i | 0.189533 | + | 0.686254i | ||||
\(446\) | 16.6293 | + | 1.14988i | 0.787420 | + | 0.0544485i | ||||
\(447\) | −21.7558 | + | 29.9443i | −1.02902 | + | 1.41632i | ||||
\(448\) | 0.882897 | + | 0.0886468i | 0.0417130 | + | 0.00418817i | ||||
\(449\) | 6.20695 | 0.292924 | 0.146462 | − | 0.989216i | \(-0.453211\pi\) | ||||
0.146462 | + | 0.989216i | \(0.453211\pi\) | |||||||
\(450\) | −22.5004 | + | 3.53277i | −1.06068 | + | 0.166536i | ||||
\(451\) | 19.5819i | 0.922076i | ||||||||
\(452\) | 6.37416 | − | 6.62115i | 0.299815 | − | 0.311432i | ||||
\(453\) | 17.9034 | + | 13.0076i | 0.841174 | + | 0.611148i | ||||
\(454\) | −0.102378 | + | 1.48056i | −0.00480482 | + | 0.0694861i | ||||
\(455\) | 0.742667 | − | 0.931635i | 0.0348168 | − | 0.0436757i | ||||
\(456\) | −19.3282 | − | 21.3660i | −0.905126 | − | 1.00056i | ||||
\(457\) | 34.1526i | 1.59759i | 0.601604 | + | 0.798795i | \(0.294529\pi\) | ||||
−0.601604 | + | 0.798795i | \(0.705471\pi\) | |||||||
\(458\) | 10.6961 | − | 26.5329i | 0.499795 | − | 1.23980i | ||||
\(459\) | 0.240457 | − | 0.0781294i | 0.0112236 | − | 0.00364677i | ||||
\(460\) | −20.8239 | + | 19.7806i | −0.970919 | + | 0.922275i | ||||
\(461\) | 12.3750 | + | 4.02087i | 0.576359 | + | 0.187271i | 0.582669 | − | 0.812710i | \(-0.302008\pi\) |
−0.00630961 | + | 0.999980i | \(0.502008\pi\) | |||||||
\(462\) | 0.432466 | − | 0.516205i | 0.0201201 | − | 0.0240160i | ||||
\(463\) | −0.474013 | + | 0.154016i | −0.0220292 | + | 0.00715774i | −0.320011 | − | 0.947414i | \(-0.603687\pi\) |
0.297982 | + | 0.954572i | \(0.403687\pi\) | |||||||
\(464\) | 12.4320 | + | 33.8300i | 0.577143 | + | 1.57052i | ||||
\(465\) | −16.5269 | + | 10.9138i | −0.766415 | + | 0.506113i | ||||
\(466\) | 28.4609 | + | 23.8439i | 1.31842 | + | 1.10455i | ||||
\(467\) | −22.0431 | + | 16.0152i | −1.02003 | + | 0.741096i | −0.966289 | − | 0.257459i | \(-0.917115\pi\) |
−0.0537419 | + | 0.998555i | \(0.517115\pi\) | |||||||
\(468\) | 13.5228 | − | 27.8352i | 0.625090 | − | 1.28668i | ||||
\(469\) | 0.243832 | + | 0.335606i | 0.0112591 | + | 0.0154968i | ||||
\(470\) | 1.95340 | + | 9.61521i | 0.0901037 | + | 0.443517i | ||||
\(471\) | 9.51161 | + | 6.91059i | 0.438272 | + | 0.318423i | ||||
\(472\) | −5.01497 | + | 8.73302i | −0.230833 | + | 0.401970i | ||||
\(473\) | −17.2383 | − | 5.60106i | −0.792618 | − | 0.257537i | ||||
\(474\) | −10.3052 | − | 16.4634i | −0.473334 | − | 0.756188i | ||||
\(475\) | −19.9063 | + | 4.55138i | −0.913365 | + | 0.208831i | ||||
\(476\) | −0.0444600 | + | 0.0915163i | −0.00203782 | + | 0.00419464i | ||||
\(477\) | −4.56990 | + | 14.0647i | −0.209242 | + | 0.643979i | ||||
\(478\) | 0.851967 | − | 12.3209i | 0.0389681 | − | 0.563546i | ||||
\(479\) | 23.5204 | + | 17.0886i | 1.07468 | + | 0.780797i | 0.976747 | − | 0.214396i | \(-0.0687784\pi\) |
0.0979285 | + | 0.995193i | \(0.468778\pi\) | |||||||
\(480\) | 11.9913 | − | 29.1817i | 0.547323 | − | 1.33196i | ||||
\(481\) | 6.29185 | − | 4.57130i | 0.286884 | − | 0.208433i | ||||
\(482\) | −0.268435 | − | 0.428846i | −0.0122269 | − | 0.0195334i | ||||
\(483\) | −1.43739 | + | 1.04432i | −0.0654034 | + | 0.0475183i | ||||
\(484\) | −15.9217 | − | 2.21248i | −0.723712 | − | 0.100567i | ||||
\(485\) | −0.561484 | + | 12.5551i | −0.0254957 | + | 0.570100i | ||||
\(486\) | 30.6298 | − | 7.66210i | 1.38940 | − | 0.347560i | ||||
\(487\) | −24.7645 | + | 8.04647i | −1.12219 | + | 0.364620i | −0.810601 | − | 0.585598i | \(-0.800860\pi\) |
−0.311584 | + | 0.950219i | \(0.600860\pi\) | |||||||
\(488\) | 30.3474 | − | 13.5962i | 1.37376 | − | 0.615471i | ||||
\(489\) | 7.73167 | − | 23.7956i | 0.349638 | − | 1.07608i | ||||
\(490\) | −14.9332 | + | 16.2874i | −0.674611 | + | 0.735790i | ||||
\(491\) | 23.4217 | − | 7.61016i | 1.05700 | − | 0.343442i | 0.271591 | − | 0.962413i | \(-0.412450\pi\) |
0.785414 | + | 0.618971i | \(0.212450\pi\) | |||||||
\(492\) | 9.94133 | + | 55.8735i | 0.448190 | + | 2.51897i | ||||
\(493\) | −4.13267 | −0.186126 | ||||||||
\(494\) | 10.3735 | − | 25.7328i | 0.466727 | − | 1.15777i | ||||
\(495\) | −6.83147 | − | 10.3450i | −0.307052 | − | 0.464973i | ||||
\(496\) | −0.539738 | − | 14.1942i | −0.0242350 | − | 0.637338i | ||||
\(497\) | −0.729177 | + | 1.00363i | −0.0327081 | + | 0.0450188i | ||||
\(498\) | 41.9188 | − | 10.4860i | 1.87843 | − | 0.469891i | ||||
\(499\) | − | 18.4619i | − | 0.826469i | −0.910625 | − | 0.413234i | \(-0.864399\pi\) | ||
0.910625 | − | 0.413234i | \(-0.135601\pi\) | |||||||
\(500\) | −13.8914 | − | 17.5222i | −0.621242 | − | 0.783619i | ||||
\(501\) | − | 20.0640i | − | 0.896393i | ||||||
\(502\) | 6.87656 | + | 27.4896i | 0.306916 | + | 1.22692i | ||||
\(503\) | 14.1453 | − | 19.4694i | 0.630709 | − | 0.868097i | −0.367368 | − | 0.930076i | \(-0.619741\pi\) |
0.998077 | + | 0.0619786i | \(0.0197411\pi\) | |||||||
\(504\) | 0.503213 | − | 0.876290i | 0.0224149 | − | 0.0390331i | ||||
\(505\) | −1.91779 | − | 2.90414i | −0.0853406 | − | 0.129232i | ||||
\(506\) | −14.4993 | − | 5.84502i | −0.644571 | − | 0.259843i | ||||
\(507\) | 25.1325 | 1.11618 | ||||||||
\(508\) | −16.0207 | + | 2.85049i | −0.710803 | + | 0.126470i | ||||
\(509\) | 0.950881 | − | 0.308960i | 0.0421471 | − | 0.0136944i | −0.287868 | − | 0.957670i | \(-0.592946\pi\) |
0.330015 | + | 0.943976i | \(0.392946\pi\) | |||||||
\(510\) | 2.66644 | + | 2.44473i | 0.118072 | + | 0.108254i | ||||
\(511\) | −0.355157 | + | 1.09306i | −0.0157112 | + | 0.0483541i | ||||
\(512\) | 13.4274 | + | 18.2127i | 0.593415 | + | 0.804897i | ||||
\(513\) | −2.14112 | + | 0.695693i | −0.0945330 | + | 0.0307156i | ||||
\(514\) | 6.42819 | + | 25.6972i | 0.283535 | + | 1.13345i | ||||
\(515\) | 0.471327 | − | 10.5392i | 0.0207691 | − | 0.464412i | ||||
\(516\) | −52.0300 | − | 7.23010i | −2.29049 | − | 0.318288i | ||||
\(517\) | −4.32057 | + | 3.13908i | −0.190018 | + | 0.138056i | ||||
\(518\) | 0.215258 | − | 0.134740i | 0.00945791 | − | 0.00592015i | ||||
\(519\) | −20.0697 | + | 14.5815i | −0.880961 | + | 0.640056i | ||||
\(520\) | 30.3228 | − | 1.89319i | 1.32974 | − | 0.0830217i | ||||
\(521\) | −13.1276 | − | 9.53774i | −0.575129 | − | 0.417856i | 0.261836 | − | 0.965112i | \(-0.415672\pi\) |
−0.836965 | + | 0.547257i | \(0.815672\pi\) | |||||||
\(522\) | 40.9468 | + | 2.83139i | 1.79219 | + | 0.123927i | ||||
\(523\) | −0.338728 | + | 1.04250i | −0.0148115 | + | 0.0455852i | −0.958189 | − | 0.286136i | \(-0.907629\pi\) |
0.943378 | + | 0.331721i | \(0.107629\pi\) | |||||||
\(524\) | 39.1191 | + | 19.0047i | 1.70893 | + | 0.830223i | ||||
\(525\) | −0.709912 | − | 1.18718i | −0.0309831 | − | 0.0518126i | ||||
\(526\) | 19.7640 | − | 12.3712i | 0.861751 | − | 0.539411i | ||||
\(527\) | 1.54901 | + | 0.503303i | 0.0674758 | + | 0.0219242i | ||||
\(528\) | 17.1601 | − | 0.652517i | 0.746796 | − | 0.0283971i | ||||
\(529\) | 14.7608 | + | 10.7243i | 0.641773 | + | 0.466275i | ||||
\(530\) | −14.2282 | + | 2.89056i | −0.618033 | + | 0.125558i | ||||
\(531\) | 6.74091 | + | 9.27806i | 0.292530 | + | 0.402634i | ||||
\(532\) | 0.395889 | − | 0.814896i | 0.0171639 | − | 0.0353302i | ||||
\(533\) | −44.2135 | + | 32.1230i | −1.91510 | + | 1.39140i | ||||
\(534\) | −15.2144 | + | 18.1603i | −0.658390 | + | 0.785874i | ||||
\(535\) | −21.5430 | + | 14.2262i | −0.931384 | + | 0.615053i | ||||
\(536\) | −2.17530 | + | 10.3523i | −0.0939587 | + | 0.447151i | ||||
\(537\) | −29.8585 | + | 9.70162i | −1.28849 | + | 0.418656i | ||||
\(538\) | −0.157908 | − | 0.132292i | −0.00680789 | − | 0.00570351i | ||||
\(539\) | −11.4389 | − | 3.71671i | −0.492706 | − | 0.160090i | ||||
\(540\) | −1.69786 | − | 1.78741i | −0.0730642 | − | 0.0769179i | ||||
\(541\) | 22.8256 | − | 7.41649i | 0.981349 | − | 0.318860i | 0.225961 | − | 0.974136i | \(-0.427448\pi\) |
0.755389 | + | 0.655277i | \(0.227448\pi\) | |||||||
\(542\) | 20.1156 | + | 8.10910i | 0.864040 | + | 0.348316i | ||||
\(543\) | − | 32.5706i | − | 1.39774i | ||||||
\(544\) | −2.49122 | + | 0.724807i | −0.106810 | + | 0.0310759i | ||||
\(545\) | 2.62891 | − | 3.29783i | 0.112610 | − | 0.141263i | ||||
\(546\) | 1.87496 | + | 0.129650i | 0.0802409 | + | 0.00554849i | ||||
\(547\) | −20.6852 | − | 15.0286i | −0.884434 | − | 0.642579i | 0.0499871 | − | 0.998750i | \(-0.484082\pi\) |
−0.934421 | + | 0.356171i | \(0.884082\pi\) | |||||||
\(548\) | 12.7223 | − | 13.2152i | 0.543468 | − | 0.564526i | ||||
\(549\) | − | 37.8696i | − | 1.61623i | ||||||
\(550\) | 5.54007 | − | 10.8370i | 0.236230 | − | 0.462093i | ||||
\(551\) | 36.7989 | 1.56769 | ||||||||
\(552\) | −44.3385 | − | 9.31673i | −1.88717 | − | 0.396546i | ||||
\(553\) | 0.358988 | − | 0.494105i | 0.0152657 | − | 0.0210115i | ||||
\(554\) | 2.02030 | − | 29.2171i | 0.0858345 | − | 1.24132i | ||||
\(555\) | −2.40376 | − | 8.70342i | −0.102034 | − | 0.369440i | ||||
\(556\) | 26.9464 | − | 4.79446i | 1.14278 | − | 0.203330i | ||||
\(557\) | −39.1180 | −1.65748 | −0.828742 | − | 0.559631i | \(-0.810943\pi\) | ||||
−0.828742 | + | 0.559631i | \(0.810943\pi\) | |||||||
\(558\) | −15.0029 | − | 6.04802i | −0.635121 | − | 0.256033i | ||||
\(559\) | −15.6319 | − | 48.1101i | −0.661160 | − | 2.03484i | ||||
\(560\) | 0.992050 | + | 0.00663157i | 0.0419218 | + | 0.000280235i | ||||
\(561\) | −0.608468 | + | 1.87267i | −0.0256895 | + | 0.0790642i | ||||
\(562\) | 9.61362 | − | 11.4751i | 0.405526 | − | 0.484049i | ||||
\(563\) | −9.45014 | − | 29.0845i | −0.398276 | − | 1.22577i | −0.926381 | − | 0.376588i | \(-0.877097\pi\) |
0.528105 | − | 0.849179i | \(-0.322903\pi\) | |||||||
\(564\) | −10.7343 | + | 11.1503i | −0.451997 | + | 0.469511i | ||||
\(565\) | 6.40519 | − | 8.03495i | 0.269468 | − | 0.338033i | ||||
\(566\) | −18.6829 | + | 22.3005i | −0.785300 | + | 0.937358i | ||||
\(567\) | 0.540347 | + | 0.743723i | 0.0226924 | + | 0.0312334i | ||||
\(568\) | −31.4534 | + | 3.37986i | −1.31976 | + | 0.141816i | ||||
\(569\) | 0.511882 | − | 0.371904i | 0.0214592 | − | 0.0155910i | −0.577004 | − | 0.816741i | \(-0.695778\pi\) |
0.598463 | + | 0.801150i | \(0.295778\pi\) | |||||||
\(570\) | −23.7429 | − | 21.7688i | −0.994483 | − | 0.911794i | ||||
\(571\) | −2.91121 | + | 4.00694i | −0.121830 | + | 0.167685i | −0.865576 | − | 0.500778i | \(-0.833047\pi\) |
0.743746 | + | 0.668463i | \(0.233047\pi\) | |||||||
\(572\) | 7.78627 | + | 14.5892i | 0.325560 | + | 0.610007i | ||||
\(573\) | 2.21761 | − | 6.82510i | 0.0926419 | − | 0.285122i | ||||
\(574\) | −1.51264 | + | 0.946834i | −0.0631364 | + | 0.0395201i | ||||
\(575\) | −21.1181 | + | 24.1900i | −0.880687 | + | 1.00879i | ||||
\(576\) | 25.1798 | − | 5.47465i | 1.04916 | − | 0.228110i | ||||
\(577\) | −15.2638 | − | 4.95951i | −0.635440 | − | 0.206467i | −0.0264569 | − | 0.999650i | \(-0.508422\pi\) |
−0.608984 | + | 0.793183i | \(0.708422\pi\) | |||||||
\(578\) | −1.63795 | + | 23.6876i | −0.0681296 | + | 0.985273i | ||||
\(579\) | 23.3130 | − | 32.0876i | 0.968855 | − | 1.33352i | ||||
\(580\) | 17.3658 | + | 36.3622i | 0.721077 | + | 1.50986i | ||||
\(581\) | 0.798656 | + | 1.09926i | 0.0331338 | + | 0.0456048i | ||||
\(582\) | −16.8045 | + | 10.5188i | −0.696570 | + | 0.436016i | ||||
\(583\) | −4.64508 | − | 6.39340i | −0.192379 | − | 0.264788i | ||||
\(584\) | −26.7463 | + | 11.9828i | −1.10677 | + | 0.495853i | ||||
\(585\) | 12.1511 | − | 32.3949i | 0.502385 | − | 1.33937i | ||||
\(586\) | −0.827455 | + | 0.206989i | −0.0341819 | + | 0.00855064i | ||||
\(587\) | 7.22818 | + | 22.2461i | 0.298339 | + | 0.918193i | 0.982079 | + | 0.188468i | \(0.0603521\pi\) |
−0.683740 | + | 0.729725i | \(0.739648\pi\) | |||||||
\(588\) | −34.5256 | − | 4.79769i | −1.42381 | − | 0.197854i | ||||
\(589\) | −13.7929 | − | 4.48160i | −0.568328 | − | 0.184661i | ||||
\(590\) | −4.67201 | + | 10.2441i | −0.192344 | + | 0.421743i | ||||
\(591\) | −3.60552 | − | 11.0967i | −0.148311 | − | 0.456455i | ||||
\(592\) | 6.23049 | + | 1.76568i | 0.256072 | + | 0.0725689i | ||||
\(593\) | 7.54773i | 0.309948i | 0.987919 | + | 0.154974i | \(0.0495294\pi\) | ||||
−0.987919 | + | 0.154974i | \(0.950471\pi\) | |||||||
\(594\) | 0.501705 | − | 1.24454i | 0.0205852 | − | 0.0510640i | ||||
\(595\) | −0.0399501 | + | 0.106508i | −0.00163780 | + | 0.00436639i | ||||
\(596\) | −13.9743 | − | 26.1838i | −0.572409 | − | 1.07253i | ||||
\(597\) | −56.5882 | − | 41.1137i | −2.31600 | − | 1.68267i | ||||
\(598\) | −10.5879 | − | 42.3259i | −0.432971 | − | 1.73084i | ||||
\(599\) | 0.302745 | 0.0123698 | 0.00618491 | − | 0.999981i | \(-0.498031\pi\) | ||||
0.00618491 | + | 0.999981i | \(0.498031\pi\) | |||||||
\(600\) | 10.3059 | − | 33.7341i | 0.420735 | − | 1.37719i | ||||
\(601\) | −32.7273 | −1.33497 | −0.667487 | − | 0.744622i | \(-0.732630\pi\) | ||||
−0.667487 | + | 0.744622i | \(0.732630\pi\) | |||||||
\(602\) | −0.400850 | − | 1.60243i | −0.0163374 | − | 0.0653102i | ||||
\(603\) | 9.74595 | + | 7.08085i | 0.396886 | + | 0.288354i | ||||
\(604\) | −15.6550 | + | 8.35506i | −0.636993 | + | 0.339963i | ||||
\(605\) | −17.9541 | − | 0.802930i | −0.729936 | − | 0.0326438i | ||||
\(606\) | 2.05262 | − | 5.09177i | 0.0833820 | − | 0.206839i | ||||
\(607\) | 26.9091i | 1.09221i | 0.837718 | + | 0.546103i | \(0.183889\pi\) | ||||
−0.837718 | + | 0.546103i | \(0.816111\pi\) | |||||||
\(608\) | 22.1828 | − | 6.45396i | 0.899631 | − | 0.261743i | ||||
\(609\) | 0.770300 | + | 2.37074i | 0.0312141 | + | 0.0960672i | ||||
\(610\) | 32.3641 | − | 18.2987i | 1.31039 | − | 0.740891i | ||||
\(611\) | −14.1753 | − | 4.60583i | −0.573470 | − | 0.186332i | ||||
\(612\) | −0.406671 | + | 2.92652i | −0.0164387 | + | 0.118298i | ||||
\(613\) | 2.61296 | + | 8.04187i | 0.105537 | + | 0.324808i | 0.989856 | − | 0.142074i | \(-0.0453772\pi\) |
−0.884319 | + | 0.466882i | \(0.845377\pi\) | |||||||
\(614\) | 13.6680 | − | 3.41906i | 0.551594 | − | 0.137982i | ||||
\(615\) | 16.8914 | + | 61.1598i | 0.681128 | + | 2.46620i | ||||
\(616\) | 0.220780 | + | 0.492793i | 0.00889548 | + | 0.0198552i | ||||
\(617\) | −11.3137 | − | 15.5720i | −0.455472 | − | 0.626904i | 0.518090 | − | 0.855326i | \(-0.326643\pi\) |
−0.973562 | + | 0.228422i | \(0.926643\pi\) | |||||||
\(618\) | 14.1062 | − | 8.82976i | 0.567436 | − | 0.355185i | ||||
\(619\) | −19.2261 | − | 26.4625i | −0.772763 | − | 1.06362i | −0.996044 | − | 0.0888631i | \(-0.971677\pi\) |
0.223281 | − | 0.974754i | \(-0.428323\pi\) | |||||||
\(620\) | −2.08064 | − | 15.7442i | −0.0835604 | − | 0.632301i | ||||
\(621\) | −2.08092 | + | 2.86414i | −0.0835045 | + | 0.114934i | ||||
\(622\) | 2.37654 | − | 34.3689i | 0.0952907 | − | 1.37807i | ||||
\(623\) | −0.708511 | − | 0.230209i | −0.0283859 | − | 0.00922313i | ||||
\(624\) | 29.6234 | + | 37.6748i | 1.18588 | + | 1.50820i | ||||
\(625\) | −17.2902 | − | 18.0569i | −0.691607 | − | 0.722274i | ||||
\(626\) | −22.4347 | + | 14.0430i | −0.896672 | + | 0.561270i | ||||
\(627\) | 5.41803 | − | 16.6750i | 0.216375 | − | 0.665934i | ||||
\(628\) | −8.31710 | + | 4.43883i | −0.331888 | + | 0.177129i | ||||
\(629\) | −0.436453 | + | 0.600727i | −0.0174025 | + | 0.0239525i | ||||
\(630\) | 0.468800 | − | 1.02792i | 0.0186774 | − | 0.0409531i | ||||
\(631\) | 29.3548 | − | 21.3275i | 1.16860 | − | 0.849035i | 0.177756 | − | 0.984075i | \(-0.443116\pi\) |
0.990840 | + | 0.135040i | \(0.0431162\pi\) | |||||||
\(632\) | 15.4851 | − | 1.66397i | 0.615966 | − | 0.0661891i | ||||
\(633\) | −0.478417 | − | 0.658485i | −0.0190154 | − | 0.0261724i | ||||
\(634\) | −25.9254 | + | 30.9454i | −1.02963 | + | 1.22900i | ||||
\(635\) | −17.5364 | + | 4.84331i | −0.695913 | + | 0.192201i | ||||
\(636\) | −16.4997 | − | 15.8842i | −0.654256 | − | 0.629850i | ||||
\(637\) | −10.3729 | − | 31.9245i | −0.410990 | − | 1.26490i | ||||
\(638\) | −14.0855 | + | 16.8129i | −0.557650 | + | 0.665628i | ||||
\(639\) | −11.1325 | + | 34.2622i | −0.440393 | + | 1.35539i | ||||
\(640\) | 16.8457 | + | 18.8739i | 0.665885 | + | 0.746055i | ||||
\(641\) | −0.0519999 | − | 0.160039i | −0.00205387 | − | 0.00632117i | 0.950024 | − | 0.312176i | \(-0.101058\pi\) |
−0.952078 | + | 0.305855i | \(0.901058\pi\) | |||||||
\(642\) | −37.7709 | − | 15.2264i | −1.49070 | − | 0.600938i | ||||
\(643\) | 6.95566 | 0.274305 | 0.137152 | − | 0.990550i | \(-0.456205\pi\) | ||||
0.137152 | + | 0.990550i | \(0.456205\pi\) | |||||||
\(644\) | −0.249567 | − | 1.40264i | −0.00983431 | − | 0.0552719i | ||||
\(645\) | −58.6716 | − | 2.62387i | −2.31019 | − | 0.103315i | ||||
\(646\) | −0.182737 | + | 2.64270i | −0.00718970 | + | 0.103976i | ||||
\(647\) | 15.2526 | − | 20.9935i | 0.599643 | − | 0.825338i | −0.396032 | − | 0.918237i | \(-0.629613\pi\) |
0.995676 | + | 0.0928983i | \(0.0296131\pi\) | |||||||
\(648\) | −4.82060 | + | 22.9413i | −0.189371 | + | 0.901220i | ||||
\(649\) | −6.12843 | −0.240562 | ||||||||
\(650\) | 33.5568 | − | 5.26874i | 1.31621 | − | 0.206657i | ||||
\(651\) | − | 0.982411i | − | 0.0385037i | ||||||
\(652\) | 14.4535 | + | 13.9144i | 0.566044 | + | 0.544929i | ||||
\(653\) | 14.9322 | + | 10.8488i | 0.584340 | + | 0.424548i | 0.840286 | − | 0.542143i | \(-0.182387\pi\) |
−0.255946 | + | 0.966691i | \(0.582387\pi\) | |||||||
\(654\) | 6.63704 | + | 0.458938i | 0.259529 | + | 0.0179459i | ||||
\(655\) | 45.5273 | + | 17.0769i | 1.77890 | + | 0.667250i | ||||
\(656\) | −43.7823 | − | 12.4076i | −1.70941 | − | 0.484435i | ||||
\(657\) | 33.3758i | 1.30212i | ||||||||
\(658\) | −0.451394 | − | 0.181968i | −0.0175972 | − | 0.00709386i | ||||
\(659\) | 8.10100 | − | 2.63217i | 0.315570 | − | 0.102535i | −0.146950 | − | 0.989144i | \(-0.546945\pi\) |
0.462520 | + | 0.886609i | \(0.346945\pi\) | |||||||
\(660\) | 19.0339 | − | 2.51539i | 0.740894 | − | 0.0979113i | ||||
\(661\) | 38.1202 | + | 12.3860i | 1.48270 | + | 0.481760i | 0.934920 | − | 0.354859i | \(-0.115471\pi\) |
0.547785 | + | 0.836619i | \(0.315471\pi\) | |||||||
\(662\) | −3.87724 | − | 3.24828i | −0.150693 | − | 0.126248i | ||||
\(663\) | −5.22641 | + | 1.69816i | −0.202977 | + | 0.0659512i | ||||
\(664\) | −7.12506 | + | 33.9083i | −0.276506 | + | 1.31590i | ||||
\(665\) | 0.355731 | − | 0.948385i | 0.0137947 | − | 0.0367768i | ||||
\(666\) | 4.73599 | − | 5.65302i | 0.183516 | − | 0.219050i | ||||
\(667\) | 46.8159 | − | 34.0138i | 1.81272 | − | 1.31702i | ||||
\(668\) | 14.4712 | + | 7.03033i | 0.559908 | + | 0.272012i | ||||
\(669\) | 17.2800 | + | 23.7839i | 0.668084 | + | 0.919539i | ||||
\(670\) | −1.34218 | + | 11.7506i | −0.0518530 | + | 0.453964i | ||||
\(671\) | 16.3718 | + | 11.8948i | 0.632028 | + | 0.459195i | ||||
\(672\) | 0.880137 | + | 1.29401i | 0.0339520 | + | 0.0499175i | ||||
\(673\) | 42.8082 | + | 13.9092i | 1.65014 | + | 0.536162i | 0.978770 | − | 0.204964i | \(-0.0657076\pi\) |
0.671367 | + | 0.741125i | \(0.265708\pi\) | |||||||
\(674\) | 11.7858 | − | 7.37727i | 0.453970 | − | 0.284162i | ||||
\(675\) | −2.07634 | − | 1.81267i | −0.0799184 | − | 0.0697695i | ||||
\(676\) | −8.80633 | + | 18.1269i | −0.338705 | + | 0.697189i | ||||
\(677\) | 13.9190 | − | 42.8382i | 0.534950 | − | 1.64641i | −0.208808 | − | 0.977957i | \(-0.566958\pi\) |
0.743758 | − | 0.668450i | \(-0.233042\pi\) | |||||||
\(678\) | 16.1707 | + | 1.11817i | 0.621033 | + | 0.0429432i | ||||
\(679\) | −0.504344 | − | 0.366427i | −0.0193549 | − | 0.0140622i | ||||
\(680\) | −2.69757 | + | 1.06655i | −0.103447 | + | 0.0409004i | ||||
\(681\) | −2.11756 | + | 1.53849i | −0.0811449 | + | 0.0589552i | ||||
\(682\) | 7.32709 | − | 4.58638i | 0.280569 | − | 0.175621i | ||||
\(683\) | −5.91153 | + | 4.29498i | −0.226199 | + | 0.164343i | −0.695112 | − | 0.718901i | \(-0.744645\pi\) |
0.468914 | + | 0.883244i | \(0.344645\pi\) | |||||||
\(684\) | 3.62115 | − | 26.0589i | 0.138458 | − | 0.996385i | ||||
\(685\) | 12.7842 | − | 16.0370i | 0.488458 | − | 0.612744i | ||||
\(686\) | −0.532454 | − | 2.12853i | −0.0203292 | − | 0.0812676i | ||||
\(687\) | 47.9850 | − | 15.5913i | 1.83074 | − | 0.594844i | ||||
\(688\) | 23.4458 | − | 34.9933i | 0.893862 | − | 1.33411i | ||||
\(689\) | 6.81552 | − | 20.9760i | 0.259650 | − | 0.799122i | ||||
\(690\) | −50.3272 | − | 5.74851i | −1.91593 | − | 0.218842i | ||||
\(691\) | −33.1194 | + | 10.7611i | −1.25992 | + | 0.409373i | −0.861467 | − | 0.507814i | \(-0.830454\pi\) |
−0.398455 | + | 0.917188i | \(0.630454\pi\) | |||||||
\(692\) | −3.48460 | − | 19.5846i | −0.132465 | − | 0.744494i | ||||
\(693\) | 0.614940 | 0.0233596 | ||||||||
\(694\) | 20.7167 | + | 8.35142i | 0.786395 | + | 0.317015i | ||||
\(695\) | 29.4959 | − | 8.14632i | 1.11884 | − | 0.309008i | ||||
\(696\) | −31.6549 | + | 55.1234i | −1.19987 | + | 2.08945i | ||||
\(697\) | 3.06700 | − | 4.22136i | 0.116171 | − | 0.159896i | ||||
\(698\) | −2.67274 | − | 10.6845i | −0.101165 | − | 0.404413i | ||||
\(699\) | 65.4828i | 2.47679i | ||||||||
\(700\) | 1.10500 | − | 0.0960445i | 0.0417652 | − | 0.00363014i | ||||
\(701\) | − | 22.3659i | − | 0.844750i | −0.906421 | − | 0.422375i | \(-0.861197\pi\) | ||
0.906421 | − | 0.422375i | \(-0.138803\pi\) | |||||||
\(702\) | 3.63303 | − | 0.908807i | 0.137120 | − | 0.0343007i | ||||
\(703\) | 3.88635 | − | 5.34910i | 0.146576 | − | 0.201745i | ||||
\(704\) | −5.54218 | + | 12.6054i | −0.208879 | + | 0.475083i | ||||
\(705\) | −10.7866 | + | 13.5312i | −0.406246 | + | 0.509613i | ||||
\(706\) | 5.94524 | − | 14.7479i | 0.223752 | − | 0.555044i | ||||
\(707\) | 0.172631 | 0.00649248 | ||||||||
\(708\) | −17.4864 | + | 3.11128i | −0.657178 | + | 0.116929i | ||||
\(709\) | −17.1971 | + | 5.58767i | −0.645849 | + | 0.209849i | −0.613583 | − | 0.789630i | \(-0.710272\pi\) |
−0.0322662 | + | 0.999479i | \(0.510272\pi\) | |||||||
\(710\) | −34.6604 | + | 7.04152i | −1.30078 | + | 0.264264i | ||||
\(711\) | 5.48073 | − | 16.8679i | 0.205543 | − | 0.632597i | ||||
\(712\) | −7.76714 | − | 17.3367i | −0.291086 | − | 0.649720i | ||||
\(713\) | −21.6899 | + | 7.04749i | −0.812294 | + | 0.263930i | ||||
\(714\) | −0.174079 | + | 0.0435461i | −0.00651474 | + | 0.00162967i | ||||
\(715\) | 10.1884 | + | 15.4284i | 0.381024 | + | 0.576991i | ||||
\(716\) | 3.46497 | − | 24.9349i | 0.129492 | − | 0.931862i | ||||
\(717\) | 17.6219 | − | 12.8030i | 0.658101 | − | 0.478139i | ||||
\(718\) | 7.63431 | + | 12.1964i | 0.284910 | + | 0.455166i | ||||
\(719\) | −31.8411 | + | 23.1339i | −1.18747 | + | 0.862749i | −0.992995 | − | 0.118158i | \(-0.962301\pi\) |
−0.194477 | + | 0.980907i | \(0.562301\pi\) | |||||||
\(720\) | 27.4585 | − | 8.71931i | 1.02332 | − | 0.324949i | ||||
\(721\) | 0.423362 | + | 0.307590i | 0.0157668 | + | 0.0114553i | ||||
\(722\) | −0.226423 | + | 3.27447i | −0.00842658 | + | 0.121863i | ||||
\(723\) | 0.275733 | − | 0.848620i | 0.0102546 | − | 0.0315605i | ||||
\(724\) | 23.4916 | + | 11.4126i | 0.873059 | + | 0.424145i | ||||
\(725\) | 23.1219 | + | 38.6665i | 0.858728 | + | 1.43604i | ||||
\(726\) | −15.0420 | − | 24.0307i | −0.558260 | − | 0.891864i | ||||
\(727\) | −16.7936 | − | 5.45658i | −0.622841 | − | 0.202373i | −0.0194399 | − | 0.999811i | \(-0.506188\pi\) |
−0.603401 | + | 0.797438i | \(0.706188\pi\) | |||||||
\(728\) | −0.750487 | + | 1.30689i | −0.0278149 | + | 0.0484366i | ||||
\(729\) | 24.9346 | + | 18.1161i | 0.923505 | + | 0.670966i | ||||
\(730\) | −28.5237 | + | 16.1273i | −1.05571 | + | 0.596897i | ||||
\(731\) | 2.83888 | + | 3.90738i | 0.105000 | + | 0.144520i | ||||
\(732\) | 52.7529 | + | 25.6281i | 1.94980 | + | 0.947244i | ||||
\(733\) | 7.26956 | − | 5.28165i | 0.268507 | − | 0.195082i | −0.445382 | − | 0.895341i | \(-0.646932\pi\) |
0.713889 | + | 0.700259i | \(0.246932\pi\) | |||||||
\(734\) | 13.1565 | + | 11.0222i | 0.485614 | + | 0.406837i | ||||
\(735\) | −38.9328 | − | 1.74113i | −1.43606 | − | 0.0642225i | ||||
\(736\) | 22.2557 | − | 28.7147i | 0.820356 | − | 1.05844i | ||||
\(737\) | −6.12241 | + | 1.98929i | −0.225522 | + | 0.0732765i | ||||
\(738\) | −33.2802 | + | 39.7243i | −1.22506 | + | 1.46227i | ||||
\(739\) | 20.0852 | + | 6.52609i | 0.738848 | + | 0.240066i | 0.654176 | − | 0.756343i | \(-0.273016\pi\) |
0.0846720 | + | 0.996409i | \(0.473016\pi\) | |||||||
\(740\) | 7.11963 | + | 1.31592i | 0.261723 | + | 0.0483743i | ||||
\(741\) | 46.5379 | − | 15.1211i | 1.70961 | − | 0.555487i | ||||
\(742\) | 0.269269 | − | 0.667955i | 0.00988518 | − | 0.0245214i | ||||
\(743\) | − | 8.50903i | − | 0.312166i | −0.987744 | − | 0.156083i | \(-0.950113\pi\) | ||
0.987744 | − | 0.156083i | \(-0.0498868\pi\) | |||||||
\(744\) | 18.5781 | − | 16.8062i | 0.681108 | − | 0.616146i | ||||
\(745\) | −18.2854 | − | 27.6899i | −0.669927 | − | 1.01448i | ||||
\(746\) | −0.726854 | + | 10.5116i | −0.0266120 | + | 0.384856i | ||||
\(747\) | 31.9222 | + | 23.1929i | 1.16797 | + | 0.848582i | ||||
\(748\) | −1.13746 | − | 1.09503i | −0.0415898 | − | 0.0400384i | ||||
\(749\) | − | 1.28058i | − | 0.0467916i | ||||||
\(750\) | 7.95514 | − | 38.6260i | 0.290481 | − | 1.41042i | ||||
\(751\) | −17.1075 | −0.624262 | −0.312131 | − | 0.950039i | \(-0.601043\pi\) | ||||
−0.312131 | + | 0.950039i | \(0.601043\pi\) | |||||||
\(752\) | −4.28089 | − | 11.6492i | −0.156108 | − | 0.424801i | ||||
\(753\) | −29.3753 | + | 40.4317i | −1.07050 | + | 1.47341i | ||||
\(754\) | −61.0678 | − | 4.22271i | −2.22396 | − | 0.153782i | ||||
\(755\) | −16.5555 | + | 10.9327i | −0.602516 | + | 0.397880i | ||||
\(756\) | 0.120395 | − | 0.0214215i | 0.00437874 | − | 0.000779091i | ||||
\(757\) | 2.28693 | 0.0831199 | 0.0415599 | − | 0.999136i | \(-0.486767\pi\) | ||||
0.0415599 | + | 0.999136i | \(0.486767\pi\) | |||||||
\(758\) | 3.33041 | − | 8.26148i | 0.120966 | − | 0.300070i | ||||
\(759\) | −8.52006 | − | 26.2220i | −0.309258 | − | 0.951800i | ||||
\(760\) | 24.0202 | − | 9.49698i | 0.871304 | − | 0.344492i | ||||
\(761\) | −6.05917 | + | 18.6482i | −0.219645 | + | 0.675997i | 0.779146 | + | 0.626842i | \(0.215653\pi\) |
−0.998791 | + | 0.0491552i | \(0.984347\pi\) | |||||||
\(762\) | −21.9989 | − | 18.4302i | −0.796935 | − | 0.667656i | ||||
\(763\) | 0.0646465 | + | 0.198961i | 0.00234036 | + | 0.00720289i | ||||
\(764\) | 4.14558 | + | 3.99094i | 0.149982 | + | 0.144387i | ||||
\(765\) | −0.147585 | + | 3.30009i | −0.00533593 | + | 0.119315i | ||||
\(766\) | 31.0552 | + | 26.0174i | 1.12207 | + | 0.940048i | ||||
\(767\) | −10.0533 | − | 13.8372i | −0.363005 | − | 0.499633i | ||||
\(768\) | −9.41412 | + | 38.7808i | −0.339703 | + | 1.39938i | ||||
\(769\) | 15.2893 | − | 11.1083i | 0.551345 | − | 0.400576i | −0.276936 | − | 0.960888i | \(-0.589319\pi\) |
0.828281 | + | 0.560313i | \(0.189319\pi\) | |||||||
\(770\) | 0.297140 | + | 0.525541i | 0.0107082 | + | 0.0189392i | ||||
\(771\) | −27.4599 | + | 37.7954i | −0.988946 | + | 1.36117i | ||||
\(772\) | 14.9745 | + | 28.0579i | 0.538944 | + | 1.00983i | ||||
\(773\) | −2.33908 | + | 7.19893i | −0.0841307 | + | 0.258928i | −0.984269 | − | 0.176677i | \(-0.943465\pi\) |
0.900138 | + | 0.435604i | \(0.143465\pi\) | |||||||
\(774\) | −25.4508 | − | 40.6597i | −0.914811 | − | 1.46148i | ||||
\(775\) | −3.95750 | − | 17.3089i | −0.142158 | − | 0.621754i | ||||
\(776\) | −1.69845 | − | 15.8060i | −0.0609708 | − | 0.567403i | ||||
\(777\) | 0.425963 | + | 0.138404i | 0.0152813 | + | 0.00496521i | ||||
\(778\) | 0.979793 | + | 0.0677507i | 0.0351273 | + | 0.00242898i | ||||
\(779\) | −27.3097 | + | 37.5886i | −0.978473 | + | 1.34675i | ||||
\(780\) | 36.9034 | + | 38.8498i | 1.32136 | + | 1.39105i | ||||
\(781\) | −11.3156 | − | 15.5746i | −0.404903 | − | 0.557302i | ||||
\(782\) | 2.21021 | + | 3.53098i | 0.0790368 | + | 0.126267i | ||||
\(783\) | 2.91956 | + | 4.01843i | 0.104336 | + | 0.143607i | ||||
\(784\) | 15.5580 | − | 23.2206i | 0.555642 | − | 0.829307i | ||||
\(785\) | −8.79551 | + | 5.80824i | −0.313925 | + | 0.207305i | ||||
\(786\) | 18.6140 | + | 74.4110i | 0.663940 | + | 2.65415i | ||||
\(787\) | 12.5994 | + | 38.7769i | 0.449119 | + | 1.38225i | 0.877903 | + | 0.478839i | \(0.158942\pi\) |
−0.428784 | + | 0.903407i | \(0.641058\pi\) | |||||||
\(788\) | 9.26684 | + | 1.28772i | 0.330118 | + | 0.0458733i | ||||
\(789\) | 39.1099 | + | 12.7076i | 1.39235 | + | 0.452401i | ||||
\(790\) | 17.0640 | − | 3.46668i | 0.607110 | − | 0.123339i | ||||
\(791\) | 0.157507 | + | 0.484757i | 0.00560031 | + | 0.0172360i | ||||
\(792\) | 10.5198 | + | 11.6290i | 0.373807 | + | 0.413218i | ||||
\(793\) | 56.4783i | 2.00560i | ||||||||
\(794\) | −27.5261 | − | 11.0964i | −0.976864 | − | 0.393798i | ||||
\(795\) | −20.0229 | − | 15.9615i | −0.710138 | − | 0.566097i | ||||
\(796\) | 49.4816 | − | 26.4083i | 1.75383 | − | 0.936018i | ||||
\(797\) | 4.00819 | + | 2.91212i | 0.141977 | + | 0.103153i | 0.656507 | − | 0.754320i | \(-0.272033\pi\) |
−0.514529 | + | 0.857473i | \(0.672033\pi\) | |||||||
\(798\) | 1.55006 | − | 0.387751i | 0.0548717 | − | 0.0137262i | ||||
\(799\) | 1.42306 | 0.0503443 | ||||||||
\(800\) | 20.7197 | + | 19.2534i | 0.732552 | + | 0.680711i | ||||
\(801\) | −21.6339 | −0.764396 | ||||||||
\(802\) | −25.7534 | + | 6.44224i | −0.909383 | + | 0.227484i | ||||
\(803\) | −14.4291 | − | 10.4834i | −0.509192 | − | 0.369950i | ||||
\(804\) | −16.4593 | + | 8.78431i | −0.580474 | + | 0.309799i | ||||
\(805\) | −0.424042 | − | 1.53535i | −0.0149455 | − | 0.0541141i | ||||
\(806\) | 22.3751 | + | 9.01997i | 0.788130 | + | 0.317715i | ||||
\(807\) | − | 0.363315i | − | 0.0127893i | ||||||
\(808\) | 2.95323 | + | 3.26459i | 0.103894 | + | 0.114848i | ||||
\(809\) | 7.58506 | + | 23.3444i | 0.266676 | + | 0.820746i | 0.991302 | + | 0.131603i | \(0.0420126\pi\) |
−0.724626 | + | 0.689142i | \(0.757987\pi\) | |||||||
\(810\) | −2.97435 | + | 26.0400i | −0.104508 | + | 0.914952i | ||||
\(811\) | −0.736311 | − | 0.239242i | −0.0258554 | − | 0.00840092i | 0.296061 | − | 0.955169i | \(-0.404327\pi\) |
−0.321916 | + | 0.946768i | \(0.604327\pi\) | |||||||
\(812\) | −1.97981 | − | 0.275115i | −0.0694777 | − | 0.00965465i | ||||
\(813\) | 11.8203 | + | 36.3792i | 0.414557 | + | 1.27588i | ||||
\(814\) | 0.956350 | + | 3.82309i | 0.0335201 | + | 0.133999i | ||||
\(815\) | 17.5398 | + | 13.9821i | 0.614391 | + | 0.489771i | ||||
\(816\) | −3.80148 | − | 2.54702i | −0.133078 | − | 0.0891634i | ||||
\(817\) | −25.2785 | − | 34.7928i | −0.884382 | − | 1.21725i | ||||
\(818\) | −27.4245 | − | 43.8128i | −0.958875 | − | 1.53188i | ||||
\(819\) | 1.00877 | + | 1.38846i | 0.0352494 | + | 0.0485166i | ||||
\(820\) | −50.0303 | − | 9.24712i | −1.74713 | − | 0.322924i | ||||
\(821\) | −4.17446 | + | 5.74566i | −0.145690 | + | 0.200525i | −0.875625 | − | 0.482992i | \(-0.839550\pi\) |
0.729935 | + | 0.683516i | \(0.239550\pi\) | |||||||
\(822\) | 32.2753 | + | 2.23177i | 1.12573 | + | 0.0778420i | ||||
\(823\) | 7.47765 | + | 2.42963i | 0.260654 | + | 0.0846917i | 0.436429 | − | 0.899739i | \(-0.356243\pi\) |
−0.175775 | + | 0.984430i | \(0.556243\pi\) | |||||||
\(824\) | 1.42573 | + | 13.2681i | 0.0496677 | + | 0.462215i | ||||
\(825\) | 20.9256 | − | 4.78442i | 0.728536 | − | 0.166572i | ||||
\(826\) | −0.296325 | − | 0.473402i | −0.0103105 | − | 0.0164718i | ||||
\(827\) | −1.01952 | + | 3.13777i | −0.0354523 | + | 0.109111i | −0.967217 | − | 0.253953i | \(-0.918269\pi\) |
0.931764 | + | 0.363064i | \(0.118269\pi\) | |||||||
\(828\) | −19.4797 | − | 36.4994i | −0.676968 | − | 1.26844i | ||||
\(829\) | 19.0835 | − | 26.2662i | 0.662798 | − | 0.912263i | −0.336772 | − | 0.941586i | \(-0.609335\pi\) |
0.999570 | + | 0.0293232i | \(0.00933521\pi\) | |||||||
\(830\) | −4.39623 | + | 38.4883i | −0.152595 | + | 1.33595i | ||||
\(831\) | 41.7875 | − | 30.3604i | 1.44959 | − | 1.05319i | ||||
\(832\) | −37.5530 | + | 8.16485i | −1.30192 | + | 0.283065i | ||||
\(833\) | 1.88380 | + | 2.59283i | 0.0652699 | + | 0.0898362i | ||||
\(834\) | 37.0016 | + | 30.9992i | 1.28126 | + | 1.07341i | ||||
\(835\) | 16.8418 | + | 6.31720i | 0.582833 | + | 0.218616i | ||||
\(836\) | 10.1284 | + | 9.75059i | 0.350298 | + | 0.337231i | ||||
\(837\) | −0.604918 | − | 1.86175i | −0.0209090 | − | 0.0643514i | ||||
\(838\) | −11.1892 | − | 9.37409i | −0.386525 | − | 0.323823i | ||||
\(839\) | 3.32108 | − | 10.2212i | 0.114656 | − | 0.352876i | −0.877219 | − | 0.480091i | \(-0.840604\pi\) |
0.991875 | + | 0.127215i | \(0.0406037\pi\) | |||||||
\(840\) | 1.11464 | + | 1.34869i | 0.0384588 | + | 0.0465341i | ||||
\(841\) | −16.1273 | − | 49.6347i | −0.556114 | − | 1.71154i | ||||
\(842\) | 6.41313 | − | 15.9085i | 0.221011 | − | 0.548245i | ||||
\(843\) | 26.4020 | 0.909332 | ||||||||
\(844\) | 0.642569 | − | 0.114330i | 0.0221181 | − | 0.00393539i | ||||
\(845\) | −7.91304 | + | 21.0963i | −0.272217 | + | 0.725735i | ||||
\(846\) | −14.0998 | − | 0.974972i | −0.484761 | − | 0.0335202i | ||||
\(847\) | 0.523996 | − | 0.721219i | 0.0180047 | − | 0.0247814i | ||||
\(848\) | 17.2379 | − | 6.33469i | 0.591954 | − | 0.217534i | ||||
\(849\) | −51.3090 | −1.76092 | ||||||||
\(850\) | −2.89164 | + | 1.46848i | −0.0991825 | + | 0.0503685i | ||||
\(851\) | − | 10.3974i | − | 0.356418i | ||||||
\(852\) | −40.1939 | − | 38.6945i | −1.37702 | − | 1.32565i | ||||
\(853\) | −18.7063 | − | 13.5909i | −0.640491 | − | 0.465344i | 0.219528 | − | 0.975606i | \(-0.429548\pi\) |
−0.860019 | + | 0.510262i | \(0.829548\pi\) | |||||||
\(854\) | −0.127220 | + | 1.83982i | −0.00435337 | + | 0.0629573i | ||||
\(855\) | 1.31415 | − | 29.3853i | 0.0449430 | − | 1.00495i | ||||
\(856\) | 24.2168 | − | 21.9071i | 0.827714 | − | 0.748770i | ||||
\(857\) | 15.8941i | 0.542932i | 0.962448 | + | 0.271466i | \(0.0875084\pi\) | ||||
−0.962448 | + | 0.271466i | \(0.912492\pi\) | |||||||
\(858\) | −10.9047 | + | 27.0504i | −0.372280 | + | 0.923485i | ||||
\(859\) | 3.46524 | − | 1.12593i | 0.118233 | − | 0.0384161i | −0.249303 | − | 0.968425i | \(-0.580202\pi\) |
0.367536 | + | 0.930009i | \(0.380202\pi\) | |||||||
\(860\) | 22.4507 | − | 41.3976i | 0.765563 | − | 1.41165i | ||||
\(861\) | −2.99328 | − | 0.972577i | −0.102011 | − | 0.0331453i | ||||
\(862\) | 27.9243 | − | 33.3313i | 0.951105 | − | 1.13527i | ||||
\(863\) | 39.8580 | − | 12.9507i | 1.35678 | − | 0.440845i | 0.461815 | − | 0.886976i | \(-0.347198\pi\) |
0.894968 | + | 0.446131i | \(0.147198\pi\) | |||||||
\(864\) | 2.46471 | + | 1.91031i | 0.0838513 | + | 0.0649900i | ||||
\(865\) | −5.92073 | − | 21.4375i | −0.201311 | − | 0.728898i | ||||
\(866\) | −4.88765 | − | 4.09477i | −0.166089 | − | 0.139146i | ||||
\(867\) | −33.8789 | + | 24.6145i | −1.15059 | + | 0.835951i | ||||
\(868\) | 0.708566 | + | 0.344232i | 0.0240503 | + | 0.0116840i | ||||
\(869\) | 5.57088 | + | 7.66766i | 0.188979 | + | 0.260108i | ||||
\(870\) | −29.4901 | + | 64.6615i | −0.999808 | + | 2.19223i | ||||
\(871\) | −14.5350 | − | 10.5603i | −0.492500 | − | 0.357823i | ||||
\(872\) | −2.65660 | + | 4.62617i | −0.0899637 | + | 0.156662i | ||||
\(873\) | −17.2175 | − | 5.59430i | −0.582723 | − | 0.189338i | ||||
\(874\) | −19.6805 | − | 31.4411i | −0.665703 | − | 1.06351i | ||||
\(875\) | 1.22004 | − | 0.222116i | 0.0412447 | − | 0.00750888i | ||||
\(876\) | −46.4931 | − | 22.5870i | −1.57086 | − | 0.763145i | ||||
\(877\) | −8.84000 | + | 27.2067i | −0.298505 | + | 0.918705i | 0.683516 | + | 0.729936i | \(0.260450\pi\) |
−0.982021 | + | 0.188770i | \(0.939550\pi\) | |||||||
\(878\) | −1.16307 | + | 16.8200i | −0.0392516 | + | 0.567646i | ||||
\(879\) | −1.21702 | − | 0.884217i | −0.0410491 | − | 0.0298239i | ||||
\(880\) | −4.85517 | + | 14.6096i | −0.163668 | + | 0.492491i | ||||
\(881\) | 15.5718 | − | 11.3135i | 0.524626 | − | 0.381163i | −0.293718 | − | 0.955892i | \(-0.594893\pi\) |
0.818344 | + | 0.574729i | \(0.194893\pi\) | |||||||
\(882\) | −16.8884 | − | 26.9806i | −0.568663 | − | 0.908484i | ||||
\(883\) | −10.5069 | + | 7.63372i | −0.353586 | + | 0.256895i | −0.750372 | − | 0.661016i | \(-0.770126\pi\) |
0.396786 | + | 0.917911i | \(0.370126\pi\) | |||||||
\(884\) | 0.606505 | − | 4.36459i | 0.0203990 | − | 0.146797i | ||||
\(885\) | −19.1408 | + | 5.28641i | −0.643411 | + | 0.177701i | ||||
\(886\) | 5.49465 | − | 1.37450i | 0.184596 | − | 0.0461771i | ||||
\(887\) | 16.0762 | − | 5.22346i | 0.539785 | − | 0.175387i | −0.0264205 | − | 0.999651i | \(-0.508411\pi\) |
0.566205 | + | 0.824264i | \(0.308411\pi\) | |||||||
\(888\) | 4.66968 | + | 10.4230i | 0.156704 | + | 0.349772i | ||||
\(889\) | 0.278868 | − | 0.858269i | 0.00935295 | − | 0.0287854i | ||||
\(890\) | −10.4535 | − | 18.4888i | −0.350403 | − | 0.619745i | ||||
\(891\) | −13.5676 | + | 4.40839i | −0.454533 | + | 0.147687i | ||||
\(892\) | −23.2090 | + | 4.12949i | −0.777096 | + | 0.138265i | ||||
\(893\) | −12.6715 | −0.424035 | ||||||||
\(894\) | 19.5710 | − | 48.5483i | 0.654552 | − | 1.62370i | ||||
\(895\) | 1.25747 | − | 28.1179i | 0.0420326 | − | 0.939877i | ||||
\(896\) | −1.24170 | + | 0.181386i | −0.0414824 | + | 0.00605967i | ||||
\(897\) | 45.2294 | − | 62.2529i | 1.51017 | − | 2.07856i | ||||
\(898\) | −8.51557 | + | 2.13018i | −0.284168 | + | 0.0710851i | ||||
\(899\) | 31.9973i | 1.06717i | ||||||||
\(900\) | 29.6567 | − | 12.5687i | 0.988557 | − | 0.418957i | ||||
\(901\) | 2.10579i | 0.0701540i | ||||||||
\(902\) | −6.72037 | − | 26.8652i | −0.223764 | − | 0.894513i | ||||
\(903\) | 1.71235 | − | 2.35685i | 0.0569836 | − | 0.0784312i | ||||
\(904\) | −6.47263 | + | 11.2714i | −0.215277 | + | 0.374880i | ||||
\(905\) | 27.3398 | + | 10.2549i | 0.908806 | + | 0.340885i | ||||
\(906\) | −29.0264 | − | 11.7013i | −0.964339 | − | 0.388749i | ||||
\(907\) | 36.2209 | 1.20269 | 0.601347 | − | 0.798988i | \(-0.294631\pi\) | ||||
0.601347 | + | 0.798988i | \(0.294631\pi\) | |||||||
\(908\) | −0.367661 | − | 2.06637i | −0.0122013 | − | 0.0685750i | ||||
\(909\) | 4.76783 | − | 1.54916i | 0.158139 | − | 0.0513825i | ||||
\(910\) | −0.699164 | + | 1.53302i | −0.0231771 | + | 0.0508193i | ||||
\(911\) | −3.31491 | + | 10.2022i | −0.109828 | + | 0.338015i | −0.990833 | − | 0.135091i | \(-0.956867\pi\) |
0.881005 | + | 0.473106i | \(0.156867\pi\) | |||||||
\(912\) | 33.8498 | + | 22.6796i | 1.12088 | + | 0.750996i | ||||
\(913\) | −20.0536 | + | 6.51579i | −0.663676 | + | 0.215641i | ||||
\(914\) | −11.7209 | − | 46.8553i | −0.387693 | − | 1.54983i | ||||
\(915\) | 61.3944 | + | 23.0285i | 2.02964 | + | 0.761299i | ||||
\(916\) | −5.56848 | + | 40.0724i | −0.183988 | + | 1.32403i | ||||
\(917\) | −1.95131 | + | 1.41771i | −0.0644381 | + | 0.0468170i | ||||
\(918\) | −0.303080 | + | 0.189712i | −0.0100031 | + | 0.00626143i | ||||
\(919\) | −32.1024 | + | 23.3238i | −1.05896 | + | 0.769380i | −0.973896 | − | 0.226995i | \(-0.927110\pi\) |
−0.0850654 | + | 0.996375i | \(0.527110\pi\) | |||||||
\(920\) | 21.7806 | − | 34.2844i | 0.718084 | − | 1.13032i | ||||
\(921\) | 20.1028 | + | 14.6056i | 0.662411 | + | 0.481270i | ||||
\(922\) | −18.3576 | − | 1.26939i | −0.604576 | − | 0.0418052i | ||||
\(923\) | 16.6029 | − | 51.0983i | 0.546490 | − | 1.68192i | ||||
\(924\) | −0.416159 | + | 0.856621i | −0.0136906 | + | 0.0281808i | ||||
\(925\) | 8.06250 | + | 0.722577i | 0.265093 | + | 0.0237582i | ||||
\(926\) | 0.597460 | − | 0.373979i | 0.0196338 | − | 0.0122897i | ||||
\(927\) | 14.4529 | + | 4.69603i | 0.474695 | + | 0.154238i | ||||
\(928\) | −28.6662 | − | 42.1461i | −0.941014 | − | 1.38352i | ||||
\(929\) | 17.2005 | + | 12.4969i | 0.564331 | + | 0.410011i | 0.833042 | − | 0.553210i | \(-0.186597\pi\) |
−0.268710 | + | 0.963221i | \(0.586597\pi\) | |||||||
\(930\) | 18.9283 | − | 20.6449i | 0.620685 | − | 0.676974i | ||||
\(931\) | −16.7741 | − | 23.0875i | −0.549748 | − | 0.756664i | ||||
\(932\) | −47.2296 | − | 22.9449i | −1.54706 | − | 0.751584i | ||||
\(933\) | 49.1558 | − | 35.7138i | 1.60929 | − | 1.16922i | ||||
\(934\) | 24.7454 | − | 29.5369i | 0.809696 | − | 0.966478i | ||||
\(935\) | −1.38035 | − | 1.10036i | −0.0451421 | − | 0.0359857i | ||||
\(936\) | −8.99958 | + | 42.8292i | −0.294160 | + | 1.39991i | ||||
\(937\) | 28.5238 | − | 9.26796i | 0.931833 | − | 0.302771i | 0.196521 | − | 0.980500i | \(-0.437036\pi\) |
0.735312 | + | 0.677729i | \(0.237036\pi\) | |||||||
\(938\) | −0.449700 | − | 0.376750i | −0.0146832 | − | 0.0123013i | ||||
\(939\) | −44.3948 | − | 14.4248i | −1.44877 | − | 0.470734i | ||||
\(940\) | −5.97982 | − | 12.5211i | −0.195040 | − | 0.408393i | ||||
\(941\) | −20.6829 | + | 6.72027i | −0.674242 | + | 0.219075i | −0.626073 | − | 0.779765i | \(-0.715339\pi\) |
−0.0481695 | + | 0.998839i | \(0.515339\pi\) | |||||||
\(942\) | −15.4210 | − | 6.21659i | −0.502444 | − | 0.202548i | ||||
\(943\) | 73.0634i | 2.37927i | ||||||||
\(944\) | 3.88313 | − | 13.7023i | 0.126385 | − | 0.445971i | ||||
\(945\) | 0.131786 | − | 0.0363974i | 0.00428701 | − | 0.00118401i | ||||
\(946\) | 25.5722 | + | 1.76826i | 0.831423 | + | 0.0574912i | ||||
\(947\) | −19.0805 | − | 13.8628i | −0.620034 | − | 0.450481i | 0.232899 | − | 0.972501i | \(-0.425179\pi\) |
−0.852934 | + | 0.522020i | \(0.825179\pi\) | |||||||
\(948\) | 19.7882 | + | 19.0501i | 0.642692 | + | 0.618718i | ||||
\(949\) | − | 49.7764i | − | 1.61581i | ||||||
\(950\) | 25.7483 | − | 13.0759i | 0.835385 | − | 0.424239i | ||||
\(951\) | −71.1992 | −2.30879 | ||||||||
\(952\) | 0.0295887 | − | 0.140813i | 0.000958976 | − | 0.00456378i | ||||
\(953\) | 16.3647 | − | 22.5241i | 0.530106 | − | 0.729629i | −0.457040 | − | 0.889446i | \(-0.651091\pi\) |
0.987147 | + | 0.159817i | \(0.0510905\pi\) | |||||||
\(954\) | 1.44272 | − | 20.8643i | 0.0467099 | − | 0.675507i | ||||
\(955\) | 5.03078 | + | 4.01036i | 0.162792 | + | 0.129772i | ||||
\(956\) | 3.05960 | + | 17.1960i | 0.0989547 | + | 0.556157i | ||||
\(957\) | −38.6831 | −1.25045 | ||||||||
\(958\) | −38.1333 | − | 15.3725i | −1.23203 | − | 0.496662i | ||||
\(959\) | 0.314370 | + | 0.967532i | 0.0101515 | + | 0.0312432i | ||||
\(960\) | −6.43633 | + | 44.1509i | −0.207732 | + | 1.42496i | ||||
\(961\) | −5.68270 | + | 17.4895i | −0.183313 | + | 0.564179i | ||||
\(962\) | −7.06321 | + | 8.43087i | −0.227727 | + | 0.271822i | ||||
\(963\) | −11.4917 | − | 35.3679i | −0.370316 | − | 1.13971i | ||||
\(964\) | 0.515453 | + | 0.496226i | 0.0166016 | + | 0.0159823i | ||||
\(965\) | 19.5942 | + | 29.6718i | 0.630761 | + | 0.955170i | ||||
\(966\) | 1.61360 | − | 1.92605i | 0.0519169 | − | 0.0619696i | ||||
\(967\) | 35.9696 | + | 49.5079i | 1.15671 | + | 1.59207i | 0.722707 | + | 0.691154i | \(0.242897\pi\) |
0.433998 | + | 0.900914i | \(0.357103\pi\) | |||||||
\(968\) | 22.6029 | − | 2.42881i | 0.726484 | − | 0.0780649i | ||||
\(969\) | −3.77969 | + | 2.74611i | −0.121421 | + | 0.0882177i | ||||
\(970\) | −3.53851 | − | 17.4176i | −0.113615 | − | 0.559246i | ||||
\(971\) | −19.9841 | + | 27.5058i | −0.641321 | + | 0.882703i | −0.998685 | − | 0.0512621i | \(-0.983676\pi\) |
0.357364 | + | 0.933965i | \(0.383676\pi\) | |||||||
\(972\) | −39.3927 | + | 21.0239i | −1.26352 | + | 0.674341i | ||||
\(973\) | −0.469050 | + | 1.44359i | −0.0150371 | + | 0.0462793i | ||||
\(974\) | 31.2139 | − | 19.5383i | 1.00016 | − | 0.626046i | ||||
\(975\) | 45.1298 | + | 39.3988i | 1.44531 | + | 1.26177i | ||||
\(976\) | −36.9687 | + | 29.0682i | −1.18334 | + | 0.930449i | ||||
\(977\) | 50.4988 | + | 16.4081i | 1.61560 | + | 0.524940i | 0.970898 | − | 0.239494i | \(-0.0769816\pi\) |
0.644702 | + | 0.764434i | \(0.276982\pi\) | |||||||
\(978\) | −2.44090 | + | 35.2996i | −0.0780513 | + | 1.12876i | ||||
\(979\) | 6.79521 | − | 9.35280i | 0.217176 | − | 0.298917i | ||||
\(980\) | 14.8977 | − | 27.4703i | 0.475889 | − | 0.877507i | ||||
\(981\) | 3.57088 | + | 4.91490i | 0.114010 | + | 0.156921i | ||||
\(982\) | −29.5214 | + | 18.4788i | −0.942065 | + | 0.589683i | ||||
\(983\) | 18.0867 | + | 24.8942i | 0.576877 | + | 0.794003i | 0.993349 | − | 0.115146i | \(-0.0367336\pi\) |
−0.416472 | + | 0.909149i | \(0.636734\pi\) | |||||||
\(984\) | −32.8143 | − | 73.2432i | −1.04608 | − | 2.33491i | ||||
\(985\) | 10.4498 | + | 0.467327i | 0.332957 | + | 0.0148903i | ||||
\(986\) | 5.66978 | − | 1.41830i | 0.180563 | − | 0.0451680i | ||||
\(987\) | −0.265248 | − | 0.816350i | −0.00844294 | − | 0.0259847i | ||||
\(988\) | −5.40055 | + | 38.8640i | −0.171814 | + | 1.23643i | ||||
\(989\) | −64.3191 | − | 20.8985i | −2.04523 | − | 0.664535i | ||||
\(990\) | 12.9227 | + | 11.8482i | 0.410710 | + | 0.376560i | ||||
\(991\) | −3.86953 | − | 11.9092i | −0.122920 | − | 0.378308i | 0.870597 | − | 0.491997i | \(-0.163733\pi\) |
−0.993516 | + | 0.113690i | \(0.963733\pi\) | |||||||
\(992\) | 5.61183 | + | 19.2883i | 0.178176 | + | 0.612406i | ||||
\(993\) | − | 8.92077i | − | 0.283092i | ||||||
\(994\) | 0.655950 | − | 1.62716i | 0.0208055 | − | 0.0516105i | ||||
\(995\) | 52.3279 | − | 34.5555i | 1.65891 | − | 1.09548i | ||||
\(996\) | −53.9113 | + | 28.7724i | −1.70824 | + | 0.911689i | ||||
\(997\) | 9.99182 | + | 7.25948i | 0.316444 | + | 0.229910i | 0.734657 | − | 0.678439i | \(-0.237343\pi\) |
−0.418212 | + | 0.908349i | \(0.637343\pi\) | |||||||
\(998\) | 6.33599 | + | 25.3286i | 0.200562 | + | 0.801764i | ||||
\(999\) | 0.892455 | 0.0282360 |
(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 | 200.2.o.a.29.2 | ✓ | 112 | |
4.3 | odd | 2 | 800.2.be.a.529.24 | 112 | |||
5.2 | odd | 4 | 1000.2.t.b.101.27 | 224 | |||
5.3 | odd | 4 | 1000.2.t.b.101.30 | 224 | |||
5.4 | even | 2 | 1000.2.o.a.149.27 | 112 | |||
8.3 | odd | 2 | 800.2.be.a.529.5 | 112 | |||
8.5 | even | 2 | inner | 200.2.o.a.29.9 | yes | 112 | |
25.6 | even | 5 | 1000.2.o.a.349.20 | 112 | |||
25.8 | odd | 20 | 1000.2.t.b.901.14 | 224 | |||
25.17 | odd | 20 | 1000.2.t.b.901.43 | 224 | |||
25.19 | even | 10 | inner | 200.2.o.a.69.9 | yes | 112 | |
40.13 | odd | 4 | 1000.2.t.b.101.14 | 224 | |||
40.29 | even | 2 | 1000.2.o.a.149.20 | 112 | |||
40.37 | odd | 4 | 1000.2.t.b.101.43 | 224 | |||
100.19 | odd | 10 | 800.2.be.a.369.5 | 112 | |||
200.19 | odd | 10 | 800.2.be.a.369.24 | 112 | |||
200.69 | even | 10 | inner | 200.2.o.a.69.2 | yes | 112 | |
200.117 | odd | 20 | 1000.2.t.b.901.27 | 224 | |||
200.133 | odd | 20 | 1000.2.t.b.901.30 | 224 | |||
200.181 | even | 10 | 1000.2.o.a.349.27 | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
200.2.o.a.29.2 | ✓ | 112 | 1.1 | even | 1 | trivial | |
200.2.o.a.29.9 | yes | 112 | 8.5 | even | 2 | inner | |
200.2.o.a.69.2 | yes | 112 | 200.69 | even | 10 | inner | |
200.2.o.a.69.9 | yes | 112 | 25.19 | even | 10 | inner | |
800.2.be.a.369.5 | 112 | 100.19 | odd | 10 | |||
800.2.be.a.369.24 | 112 | 200.19 | odd | 10 | |||
800.2.be.a.529.5 | 112 | 8.3 | odd | 2 | |||
800.2.be.a.529.24 | 112 | 4.3 | odd | 2 | |||
1000.2.o.a.149.20 | 112 | 40.29 | even | 2 | |||
1000.2.o.a.149.27 | 112 | 5.4 | even | 2 | |||
1000.2.o.a.349.20 | 112 | 25.6 | even | 5 | |||
1000.2.o.a.349.27 | 112 | 200.181 | even | 10 | |||
1000.2.t.b.101.14 | 224 | 40.13 | odd | 4 | |||
1000.2.t.b.101.27 | 224 | 5.2 | odd | 4 | |||
1000.2.t.b.101.30 | 224 | 5.3 | odd | 4 | |||
1000.2.t.b.101.43 | 224 | 40.37 | odd | 4 | |||
1000.2.t.b.901.14 | 224 | 25.8 | odd | 20 | |||
1000.2.t.b.901.27 | 224 | 200.117 | odd | 20 | |||
1000.2.t.b.901.30 | 224 | 200.133 | odd | 20 | |||
1000.2.t.b.901.43 | 224 | 25.17 | odd | 20 |