Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 557.7 | ||
Character | \(\chi\) | \(=\) | 570.557 |
Dual form | 570.2.bi.a.263.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0871557 | + | 0.996195i | −0.0616284 | + | 0.704416i | ||||
\(3\) | −1.06366 | − | 1.36698i | −0.614104 | − | 0.789225i | ||||
\(4\) | −0.984808 | − | 0.173648i | −0.492404 | − | 0.0868241i | ||||
\(5\) | 1.95247 | + | 1.08989i | 0.873172 | + | 0.487412i | ||||
\(6\) | 1.45448 | − | 0.940472i | 0.593789 | − | 0.383946i | ||||
\(7\) | −1.28322 | + | 0.343837i | −0.485010 | + | 0.129958i | −0.493035 | − | 0.870010i | \(-0.664112\pi\) |
0.00802443 | + | 0.999968i | \(0.497446\pi\) | |||||||
\(8\) | 0.258819 | − | 0.965926i | 0.0915064 | − | 0.341506i | ||||
\(9\) | −0.737255 | + | 2.90800i | −0.245752 | + | 0.969333i | ||||
\(10\) | −1.25591 | + | 1.85005i | −0.397153 | + | 0.585038i | ||||
\(11\) | −4.64456 | + | 2.68154i | −1.40039 | + | 0.808513i | −0.994432 | − | 0.105380i | \(-0.966394\pi\) |
−0.405954 | + | 0.913893i | \(0.633061\pi\) | |||||||
\(12\) | 0.810127 | + | 1.53091i | 0.233864 | + | 0.441936i | ||||
\(13\) | 1.47825 | − | 3.17012i | 0.409993 | − | 0.879232i | −0.587551 | − | 0.809187i | \(-0.699908\pi\) |
0.997544 | − | 0.0700450i | \(-0.0223143\pi\) | |||||||
\(14\) | −0.230689 | − | 1.30830i | −0.0616541 | − | 0.349658i | ||||
\(15\) | −0.586915 | − | 3.82825i | −0.151541 | − | 0.988451i | ||||
\(16\) | 0.939693 | + | 0.342020i | 0.234923 | + | 0.0855050i | ||||
\(17\) | −0.458283 | + | 5.23819i | −0.111150 | + | 1.27045i | 0.711819 | + | 0.702363i | \(0.247871\pi\) |
−0.822969 | + | 0.568086i | \(0.807684\pi\) | |||||||
\(18\) | −2.83268 | − | 0.987899i | −0.667668 | − | 0.232850i | ||||
\(19\) | 4.21168 | − | 1.12327i | 0.966226 | − | 0.257696i | ||||
\(20\) | −1.73355 | − | 1.41237i | −0.387634 | − | 0.315816i | ||||
\(21\) | 1.83492 | + | 1.38840i | 0.400413 | + | 0.302974i | ||||
\(22\) | −2.26653 | − | 4.86059i | −0.483226 | − | 1.03628i | ||||
\(23\) | −6.24450 | + | 4.37245i | −1.30207 | + | 0.911718i | −0.999147 | − | 0.0412973i | \(-0.986851\pi\) |
−0.302922 | + | 0.953015i | \(0.597962\pi\) | |||||||
\(24\) | −1.59569 | + | 0.673617i | −0.325720 | + | 0.137501i | ||||
\(25\) | 2.62429 | + | 4.25595i | 0.524859 | + | 0.851189i | ||||
\(26\) | 3.02921 | + | 1.74892i | 0.594078 | + | 0.342991i | ||||
\(27\) | 4.75936 | − | 2.08531i | 0.915939 | − | 0.401318i | ||||
\(28\) | 1.32343 | − | 0.115785i | 0.250104 | − | 0.0218813i | ||||
\(29\) | 1.96385 | + | 1.64787i | 0.364678 | + | 0.306001i | 0.806652 | − | 0.591027i | \(-0.201277\pi\) |
−0.441974 | + | 0.897028i | \(0.645722\pi\) | |||||||
\(30\) | 3.86484 | − | 0.251028i | 0.705620 | − | 0.0458312i | ||||
\(31\) | −4.70677 | + | 8.15237i | −0.845362 | + | 1.46421i | 0.0399451 | + | 0.999202i | \(0.487282\pi\) |
−0.885307 | + | 0.465007i | \(0.846052\pi\) | |||||||
\(32\) | −0.422618 | + | 0.906308i | −0.0747091 | + | 0.160214i | ||||
\(33\) | 8.60583 | + | 3.49676i | 1.49808 | + | 0.608708i | ||||
\(34\) | −5.17832 | − | 0.913077i | −0.888074 | − | 0.156591i | ||||
\(35\) | −2.88019 | − | 0.727229i | −0.486840 | − | 0.122924i | ||||
\(36\) | 1.23102 | − | 2.73580i | 0.205171 | − | 0.455966i | ||||
\(37\) | −2.77322 | − | 2.77322i | −0.455914 | − | 0.455914i | 0.441397 | − | 0.897312i | \(-0.354483\pi\) |
−0.897312 | + | 0.441397i | \(0.854483\pi\) | |||||||
\(38\) | 0.751926 | + | 4.29355i | 0.121979 | + | 0.696506i | ||||
\(39\) | −5.90583 | + | 1.35119i | −0.945690 | + | 0.216364i | ||||
\(40\) | 1.55809 | − | 1.60386i | 0.246355 | − | 0.253592i | ||||
\(41\) | −1.57136 | + | 4.31727i | −0.245405 | + | 0.674245i | 0.754435 | + | 0.656374i | \(0.227911\pi\) |
−0.999840 | + | 0.0178703i | \(0.994311\pi\) | |||||||
\(42\) | −1.54304 | + | 1.70693i | −0.238097 | + | 0.263385i | ||||
\(43\) | 0.480575 | + | 0.336502i | 0.0732869 | + | 0.0513161i | 0.609646 | − | 0.792674i | \(-0.291312\pi\) |
−0.536359 | + | 0.843990i | \(0.680201\pi\) | |||||||
\(44\) | 5.03964 | − | 1.83428i | 0.759754 | − | 0.276528i | ||||
\(45\) | −4.60886 | + | 4.87426i | −0.687048 | + | 0.726612i | ||||
\(46\) | −3.81156 | − | 6.60182i | −0.561984 | − | 0.973386i | ||||
\(47\) | 3.09441 | − | 0.270725i | 0.451365 | − | 0.0394894i | 0.140793 | − | 0.990039i | \(-0.455035\pi\) |
0.310573 | + | 0.950550i | \(0.399479\pi\) | |||||||
\(48\) | −0.531979 | − | 1.64833i | −0.0767846 | − | 0.237916i | ||||
\(49\) | −4.53376 | + | 2.61757i | −0.647680 | + | 0.373938i | ||||
\(50\) | −4.46847 | + | 2.24338i | −0.631938 | + | 0.317261i | ||||
\(51\) | 7.64795 | − | 4.94519i | 1.07093 | − | 0.692466i | ||||
\(52\) | −2.00628 | + | 2.86526i | −0.278220 | + | 0.397340i | ||||
\(53\) | 1.61214 | − | 1.12883i | 0.221444 | − | 0.155057i | −0.457591 | − | 0.889163i | \(-0.651287\pi\) |
0.679035 | + | 0.734106i | \(0.262399\pi\) | |||||||
\(54\) | 1.66257 | + | 4.92299i | 0.226247 | + | 0.669935i | ||||
\(55\) | −11.9909 | + | 0.173583i | −1.61686 | + | 0.0234060i | ||||
\(56\) | 1.32848i | 0.177526i | ||||||||
\(57\) | −6.01528 | − | 4.56249i | −0.796744 | − | 0.604317i | ||||
\(58\) | −1.81276 | + | 1.81276i | −0.238027 | + | 0.238027i | ||||
\(59\) | −11.6185 | + | 9.74909i | −1.51260 | + | 1.26922i | −0.654107 | + | 0.756402i | \(0.726955\pi\) |
−0.858495 | + | 0.512822i | \(0.828600\pi\) | |||||||
\(60\) | −0.0867706 | + | 3.87201i | −0.0112020 | + | 0.499874i | ||||
\(61\) | −1.33887 | + | 7.59310i | −0.171425 | + | 0.972197i | 0.770766 | + | 0.637119i | \(0.219874\pi\) |
−0.942190 | + | 0.335078i | \(0.891237\pi\) | |||||||
\(62\) | −7.71113 | − | 5.39939i | −0.979314 | − | 0.685723i | ||||
\(63\) | −0.0538185 | − | 3.98509i | −0.00678049 | − | 0.502074i | ||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | 6.34131 | − | 4.57844i | 0.786542 | − | 0.567885i | ||||
\(66\) | −4.23350 | + | 8.26832i | −0.521108 | + | 1.01776i | ||||
\(67\) | −1.05602 | − | 12.0703i | −0.129013 | − | 1.47462i | −0.734413 | − | 0.678703i | \(-0.762543\pi\) |
0.605400 | − | 0.795921i | \(-0.293013\pi\) | |||||||
\(68\) | 1.36092 | − | 5.07903i | 0.165036 | − | 0.615923i | ||||
\(69\) | 12.6191 | + | 3.88530i | 1.51916 | + | 0.467735i | ||||
\(70\) | 0.975486 | − | 2.80584i | 0.116593 | − | 0.335363i | ||||
\(71\) | 5.16453 | − | 0.910646i | 0.612917 | − | 0.108074i | 0.141432 | − | 0.989948i | \(-0.454829\pi\) |
0.471485 | + | 0.881874i | \(0.343718\pi\) | |||||||
\(72\) | 2.61809 | + | 1.46478i | 0.308545 | + | 0.172626i | ||||
\(73\) | 11.3679 | − | 5.30093i | 1.33051 | − | 0.620427i | 0.378246 | − | 0.925705i | \(-0.376527\pi\) |
0.952263 | + | 0.305278i | \(0.0987494\pi\) | |||||||
\(74\) | 3.00437 | − | 2.52096i | 0.349251 | − | 0.293056i | ||||
\(75\) | 3.02643 | − | 8.11423i | 0.349462 | − | 0.936951i | ||||
\(76\) | −4.34275 | + | 0.374857i | −0.498148 | + | 0.0429991i | ||||
\(77\) | 5.03796 | − | 5.03796i | 0.574129 | − | 0.574129i | ||||
\(78\) | −0.831322 | − | 6.00112i | −0.0941287 | − | 0.679493i | ||||
\(79\) | 0.195979 | − | 0.538447i | 0.0220493 | − | 0.0605800i | −0.928180 | − | 0.372132i | \(-0.878627\pi\) |
0.950229 | + | 0.311552i | \(0.100849\pi\) | |||||||
\(80\) | 1.46196 | + | 1.69194i | 0.163452 | + | 0.189165i | ||||
\(81\) | −7.91291 | − | 4.28788i | −0.879212 | − | 0.476431i | ||||
\(82\) | −4.16389 | − | 1.94165i | −0.459825 | − | 0.214420i | ||||
\(83\) | 12.9834 | − | 3.47889i | 1.42511 | − | 0.381858i | 0.537819 | − | 0.843061i | \(-0.319249\pi\) |
0.887295 | + | 0.461203i | \(0.152582\pi\) | |||||||
\(84\) | −1.56595 | − | 1.68594i | −0.170859 | − | 0.183951i | ||||
\(85\) | −6.60382 | + | 9.72795i | −0.716285 | + | 1.05514i | ||||
\(86\) | −0.377106 | + | 0.449418i | −0.0406644 | + | 0.0484620i | ||||
\(87\) | 0.163727 | − | 4.43731i | 0.0175534 | − | 0.475730i | ||||
\(88\) | 1.38806 | + | 5.18033i | 0.147968 | + | 0.552225i | ||||
\(89\) | 7.24577 | − | 2.63724i | 0.768050 | − | 0.279547i | 0.0718692 | − | 0.997414i | \(-0.477104\pi\) |
0.696180 | + | 0.717867i | \(0.254881\pi\) | |||||||
\(90\) | −4.45402 | − | 5.01614i | −0.469495 | − | 0.528748i | ||||
\(91\) | −0.806911 | + | 4.57622i | −0.0845873 | + | 0.479718i | ||||
\(92\) | 6.90890 | − | 3.22167i | 0.720303 | − | 0.335883i | ||||
\(93\) | 16.1505 | − | 2.23730i | 1.67473 | − | 0.231997i | ||||
\(94\) | 3.10623i | 0.320383i | ||||||||
\(95\) | 9.44743 | + | 2.39710i | 0.969286 | + | 0.245937i | ||||
\(96\) | 1.68842 | − | 0.386293i | 0.172324 | − | 0.0394259i | ||||
\(97\) | 3.27952 | + | 0.286921i | 0.332985 | + | 0.0291324i | 0.252422 | − | 0.967617i | \(-0.418773\pi\) |
0.0805626 | + | 0.996750i | \(0.474328\pi\) | |||||||
\(98\) | −2.21246 | − | 4.74464i | −0.223492 | − | 0.479281i | ||||
\(99\) | −4.37368 | − | 15.4833i | −0.439571 | − | 1.55613i | ||||
\(100\) | −1.84539 | − | 4.64699i | −0.184539 | − | 0.464699i | ||||
\(101\) | −2.79744 | − | 7.68592i | −0.278356 | − | 0.764777i | −0.997549 | − | 0.0699670i | \(-0.977711\pi\) |
0.719193 | − | 0.694810i | \(-0.244512\pi\) | |||||||
\(102\) | 4.25981 | + | 8.04985i | 0.421784 | + | 0.797054i | ||||
\(103\) | −3.19103 | − | 0.855033i | −0.314421 | − | 0.0842489i | 0.0981575 | − | 0.995171i | \(-0.468705\pi\) |
−0.412579 | + | 0.910922i | \(0.635372\pi\) | |||||||
\(104\) | −2.67950 | − | 2.24837i | −0.262746 | − | 0.220470i | ||||
\(105\) | 2.06943 | + | 4.71067i | 0.201956 | + | 0.459715i | ||||
\(106\) | 0.984029 | + | 1.70439i | 0.0955773 | + | 0.165545i | ||||
\(107\) | 1.55747 | + | 5.81255i | 0.150566 | + | 0.561921i | 0.999444 | + | 0.0333321i | \(0.0106119\pi\) |
−0.848878 | + | 0.528589i | \(0.822721\pi\) | |||||||
\(108\) | −5.04916 | + | 1.22717i | −0.485856 | + | 0.118085i | ||||
\(109\) | 2.40479 | − | 0.424030i | 0.230337 | − | 0.0406147i | −0.0572880 | − | 0.998358i | \(-0.518245\pi\) |
0.287625 | + | 0.957743i | \(0.407134\pi\) | |||||||
\(110\) | 0.872156 | − | 11.9604i | 0.0831568 | − | 1.14038i | ||||
\(111\) | −0.841167 | + | 6.74069i | −0.0798400 | + | 0.639798i | ||||
\(112\) | −1.32343 | − | 0.115785i | −0.125052 | − | 0.0109406i | ||||
\(113\) | −2.14681 | − | 2.14681i | −0.201955 | − | 0.201955i | 0.598882 | − | 0.800837i | \(-0.295612\pi\) |
−0.800837 | + | 0.598882i | \(0.795612\pi\) | |||||||
\(114\) | 5.06940 | − | 5.59475i | 0.474793 | − | 0.523996i | ||||
\(115\) | −16.9577 | + | 1.73128i | −1.58131 | + | 0.161443i | ||||
\(116\) | −1.64787 | − | 1.96385i | −0.153001 | − | 0.182339i | ||||
\(117\) | 8.12884 | + | 6.63593i | 0.751512 | + | 0.613492i | ||||
\(118\) | −8.69937 | − | 12.4240i | −0.800842 | − | 1.14372i | ||||
\(119\) | −1.21301 | − | 6.87931i | −0.111196 | − | 0.630625i | ||||
\(120\) | −3.84971 | − | 0.423908i | −0.351429 | − | 0.0386974i | ||||
\(121\) | 8.88126 | − | 15.3828i | 0.807388 | − | 1.39844i | ||||
\(122\) | −7.44752 | − | 1.99556i | −0.674267 | − | 0.180669i | ||||
\(123\) | 7.57301 | − | 2.44410i | 0.682835 | − | 0.220377i | ||||
\(124\) | 6.05091 | − | 7.21120i | 0.543388 | − | 0.647585i | ||||
\(125\) | 0.485361 | + | 11.1698i | 0.0434120 | + | 0.999057i | ||||
\(126\) | 3.97461 | + | 0.293709i | 0.354087 | + | 0.0261657i | ||||
\(127\) | −4.86876 | − | 2.27034i | −0.432033 | − | 0.201460i | 0.194422 | − | 0.980918i | \(-0.437717\pi\) |
−0.626455 | + | 0.779458i | \(0.715495\pi\) | |||||||
\(128\) | 0.573576 | − | 0.819152i | 0.0506975 | − | 0.0724035i | ||||
\(129\) | −0.0511773 | − | 1.01486i | −0.00450591 | − | 0.0893533i | ||||
\(130\) | 4.00833 | + | 6.71621i | 0.351554 | + | 0.589051i | ||||
\(131\) | −10.5741 | − | 12.6017i | −0.923861 | − | 1.10101i | −0.994627 | − | 0.103521i | \(-0.966989\pi\) |
0.0707665 | − | 0.997493i | \(-0.477455\pi\) | |||||||
\(132\) | −7.86788 | − | 4.93802i | −0.684811 | − | 0.429800i | ||||
\(133\) | −5.01827 | + | 2.88953i | −0.435140 | + | 0.250554i | ||||
\(134\) | 12.1164 | 1.04670 | ||||||||
\(135\) | 11.5653 | + | 1.11565i | 0.995379 | + | 0.0960201i | ||||
\(136\) | 4.94109 | + | 1.79841i | 0.423695 | + | 0.154212i | ||||
\(137\) | −8.44657 | − | 12.0629i | −0.721639 | − | 1.03061i | −0.997587 | − | 0.0694345i | \(-0.977881\pi\) |
0.275948 | − | 0.961173i | \(-0.411008\pi\) | |||||||
\(138\) | −4.97034 | + | 12.2324i | −0.423103 | + | 1.04129i | ||||
\(139\) | 1.32450 | + | 3.63904i | 0.112343 | + | 0.308660i | 0.983104 | − | 0.183046i | \(-0.0585958\pi\) |
−0.870761 | + | 0.491706i | \(0.836374\pi\) | |||||||
\(140\) | 2.71015 | + | 1.21632i | 0.229049 | + | 0.102798i | ||||
\(141\) | −3.66147 | − | 3.94202i | −0.308351 | − | 0.331978i | ||||
\(142\) | 0.457062 | + | 5.22424i | 0.0383558 | + | 0.438409i | ||||
\(143\) | 1.63497 | + | 18.6878i | 0.136723 | + | 1.56275i | ||||
\(144\) | −1.68739 | + | 2.48047i | −0.140616 | + | 0.206706i | ||||
\(145\) | 2.03838 | + | 5.35779i | 0.169278 | + | 0.444940i | ||||
\(146\) | 4.28998 | + | 11.7866i | 0.355041 | + | 0.975468i | ||||
\(147\) | 8.40053 | + | 3.41335i | 0.692864 | + | 0.281528i | ||||
\(148\) | 2.24952 | + | 3.21265i | 0.184910 | + | 0.264078i | ||||
\(149\) | −12.3106 | − | 4.48069i | −1.00852 | − | 0.367072i | −0.215657 | − | 0.976469i | \(-0.569189\pi\) |
−0.792865 | + | 0.609397i | \(0.791412\pi\) | |||||||
\(150\) | 7.81958 | + | 3.72211i | 0.638466 | + | 0.303909i | ||||
\(151\) | 21.4721 | 1.74737 | 0.873686 | − | 0.486490i | \(-0.161723\pi\) | ||||
0.873686 | + | 0.486490i | \(0.161723\pi\) | |||||||
\(152\) | 0.00506498 | − | 4.35890i | 0.000410824 | − | 0.353553i | ||||
\(153\) | −14.8948 | − | 5.19457i | −1.20417 | − | 0.419956i | ||||
\(154\) | 4.57970 | + | 5.45787i | 0.369043 | + | 0.439808i | ||||
\(155\) | −18.0750 | + | 10.7874i | −1.45182 | + | 0.866467i | ||||
\(156\) | 6.05074 | − | 0.305127i | 0.484447 | − | 0.0244297i | ||||
\(157\) | 0.0739605 | − | 0.105627i | 0.00590269 | − | 0.00842992i | −0.816190 | − | 0.577784i | \(-0.803918\pi\) |
0.822093 | + | 0.569354i | \(0.192807\pi\) | |||||||
\(158\) | 0.519317 | + | 0.242162i | 0.0413147 | + | 0.0192654i | ||||
\(159\) | −3.25785 | − | 1.00306i | −0.258365 | − | 0.0795482i | ||||
\(160\) | −1.81292 | + | 1.30893i | −0.143324 | + | 0.103480i | ||||
\(161\) | 6.50964 | − | 7.75788i | 0.513031 | − | 0.611407i | ||||
\(162\) | 4.96121 | − | 7.50908i | 0.389790 | − | 0.589969i | ||||
\(163\) | 12.9706 | + | 3.47547i | 1.01594 | + | 0.272220i | 0.728109 | − | 0.685462i | \(-0.240400\pi\) |
0.287830 | + | 0.957682i | \(0.407066\pi\) | |||||||
\(164\) | 2.29717 | − | 3.97882i | 0.179379 | − | 0.310694i | ||||
\(165\) | 12.9916 | + | 16.2067i | 1.01139 | + | 1.26169i | ||||
\(166\) | 2.33408 | + | 13.2372i | 0.181159 | + | 1.02741i | ||||
\(167\) | 1.24372 | + | 1.77622i | 0.0962421 | + | 0.137448i | 0.864385 | − | 0.502830i | \(-0.167708\pi\) |
−0.768143 | + | 0.640278i | \(0.778819\pi\) | |||||||
\(168\) | 1.81601 | − | 1.41305i | 0.140108 | − | 0.109019i | ||||
\(169\) | 0.491824 | + | 0.586133i | 0.0378326 | + | 0.0450872i | ||||
\(170\) | −9.11537 | − | 7.42654i | −0.699117 | − | 0.569589i | ||||
\(171\) | 0.161391 | + | 13.0757i | 0.0123419 | + | 0.999924i | ||||
\(172\) | −0.414841 | − | 0.414841i | −0.0316313 | − | 0.0316313i | ||||
\(173\) | 7.48477 | + | 0.654833i | 0.569057 | + | 0.0497860i | 0.368054 | − | 0.929805i | \(-0.380024\pi\) |
0.201003 | + | 0.979591i | \(0.435580\pi\) | |||||||
\(174\) | 4.40616 | + | 0.549842i | 0.334030 | + | 0.0416834i | ||||
\(175\) | −4.83089 | − | 4.55897i | −0.365181 | − | 0.344626i | ||||
\(176\) | −5.28159 | + | 0.931287i | −0.398115 | + | 0.0701984i | ||||
\(177\) | 25.6849 | + | 5.51253i | 1.93060 | + | 0.414347i | ||||
\(178\) | 1.99570 | + | 7.44804i | 0.149584 | + | 0.558255i | ||||
\(179\) | 6.10778 | + | 10.5790i | 0.456517 | + | 0.790711i | 0.998774 | − | 0.0495017i | \(-0.0157633\pi\) |
−0.542257 | + | 0.840213i | \(0.682430\pi\) | |||||||
\(180\) | 5.38525 | − | 3.99989i | 0.401393 | − | 0.298134i | ||||
\(181\) | 8.94144 | + | 7.50276i | 0.664612 | + | 0.557675i | 0.911465 | − | 0.411377i | \(-0.134952\pi\) |
−0.246853 | + | 0.969053i | \(0.579397\pi\) | |||||||
\(182\) | −4.48848 | − | 1.20268i | −0.332708 | − | 0.0891489i | ||||
\(183\) | 11.8037 | − | 6.24628i | 0.872555 | − | 0.461738i | ||||
\(184\) | 2.60726 | + | 7.16340i | 0.192210 | + | 0.528093i | ||||
\(185\) | −2.39214 | − | 8.43713i | −0.175874 | − | 0.620310i | ||||
\(186\) | 0.821172 | + | 16.2841i | 0.0602113 | + | 1.19400i | ||||
\(187\) | −11.9179 | − | 25.5580i | −0.871522 | − | 1.86898i | ||||
\(188\) | −3.09441 | − | 0.270725i | −0.225683 | − | 0.0197447i | ||||
\(189\) | −5.39028 | + | 4.31234i | −0.392085 | + | 0.313677i | ||||
\(190\) | −3.21137 | + | 9.20256i | −0.232977 | + | 0.667624i | ||||
\(191\) | − | 26.1328i | − | 1.89091i | −0.325760 | − | 0.945453i | \(-0.605620\pi\) | ||
0.325760 | − | 0.945453i | \(-0.394380\pi\) | |||||||
\(192\) | 0.237668 | + | 1.71567i | 0.0171522 | + | 0.123818i | ||||
\(193\) | −12.8346 | + | 5.98487i | −0.923855 | + | 0.430801i | −0.825533 | − | 0.564354i | \(-0.809125\pi\) |
−0.0983220 | + | 0.995155i | \(0.531348\pi\) | |||||||
\(194\) | −0.571659 | + | 3.24204i | −0.0410427 | + | 0.232765i | ||||
\(195\) | −13.0036 | − | 3.79852i | −0.931208 | − | 0.272018i | ||||
\(196\) | 4.91942 | − | 1.79052i | 0.351387 | − | 0.127894i | ||||
\(197\) | 0.464609 | + | 1.73395i | 0.0331020 | + | 0.123539i | 0.980500 | − | 0.196520i | \(-0.0629641\pi\) |
−0.947398 | + | 0.320059i | \(0.896297\pi\) | |||||||
\(198\) | 15.8056 | − | 3.00757i | 1.12326 | − | 0.213739i | ||||
\(199\) | −1.70984 | + | 2.03771i | −0.121207 | + | 0.144449i | −0.823236 | − | 0.567700i | \(-0.807833\pi\) |
0.702028 | + | 0.712149i | \(0.252278\pi\) | |||||||
\(200\) | 4.79015 | − | 1.43335i | 0.338714 | − | 0.101353i | ||||
\(201\) | −15.3766 | + | 14.2823i | −1.08458 | + | 1.00739i | ||||
\(202\) | 7.90048 | − | 2.11693i | 0.555876 | − | 0.148947i | ||||
\(203\) | −3.08664 | − | 1.43933i | −0.216640 | − | 0.101021i | ||||
\(204\) | −8.39048 | + | 3.54201i | −0.587451 | + | 0.247991i | ||||
\(205\) | −7.77337 | + | 6.71675i | −0.542916 | + | 0.469118i | ||||
\(206\) | 1.12990 | − | 3.10436i | 0.0787235 | − | 0.216291i | ||||
\(207\) | −8.11127 | − | 21.3826i | −0.563773 | − | 1.48619i | ||||
\(208\) | 2.47334 | − | 2.47334i | 0.171496 | − | 0.171496i | ||||
\(209\) | −16.5493 | + | 16.5109i | −1.14474 | + | 1.14208i | ||||
\(210\) | −4.87311 | + | 1.65100i | −0.336277 | + | 0.113930i | ||||
\(211\) | −1.98922 | + | 1.66915i | −0.136943 | + | 0.114909i | −0.708686 | − | 0.705524i | \(-0.750712\pi\) |
0.571743 | + | 0.820433i | \(0.306267\pi\) | |||||||
\(212\) | −1.78367 | + | 0.831737i | −0.122503 | + | 0.0571239i | ||||
\(213\) | −6.73813 | − | 6.09118i | −0.461689 | − | 0.417361i | ||||
\(214\) | −5.92618 | + | 1.04495i | −0.405105 | + | 0.0714310i | ||||
\(215\) | 0.571559 | + | 1.18078i | 0.0389800 | + | 0.0805287i | ||||
\(216\) | −0.782442 | − | 5.13690i | −0.0532384 | − | 0.349522i | ||||
\(217\) | 3.23672 | − | 12.0796i | 0.219723 | − | 0.820018i | ||||
\(218\) | 0.212825 | + | 2.43260i | 0.0144143 | + | 0.164756i | ||||
\(219\) | −19.3378 | − | 9.90125i | −1.30673 | − | 0.669065i | ||||
\(220\) | 11.8389 | + | 1.91126i | 0.798179 | + | 0.128857i | ||||
\(221\) | 15.9282 | + | 9.19617i | 1.07145 | + | 0.618601i | ||||
\(222\) | −6.64173 | − | 1.42546i | −0.445764 | − | 0.0956703i | ||||
\(223\) | −22.1860 | − | 15.5348i | −1.48569 | − | 1.04029i | −0.984586 | − | 0.174900i | \(-0.944040\pi\) |
−0.501101 | − | 0.865389i | \(-0.667071\pi\) | |||||||
\(224\) | 0.230689 | − | 1.30830i | 0.0154135 | − | 0.0874145i | ||||
\(225\) | −14.3111 | + | 4.49372i | −0.954071 | + | 0.299581i | ||||
\(226\) | 2.32574 | − | 1.95153i | 0.154706 | − | 0.129814i | ||||
\(227\) | 10.5330 | − | 10.5330i | 0.699098 | − | 0.699098i | −0.265118 | − | 0.964216i | \(-0.585411\pi\) |
0.964216 | + | 0.265118i | \(0.0854108\pi\) | |||||||
\(228\) | 5.13163 | + | 5.53772i | 0.339851 | + | 0.366745i | ||||
\(229\) | 6.15926i | 0.407015i | 0.979073 | + | 0.203508i | \(0.0652342\pi\) | ||||
−0.979073 | + | 0.203508i | \(0.934766\pi\) | |||||||
\(230\) | −0.246733 | − | 17.0440i | −0.0162691 | − | 1.12385i | ||||
\(231\) | −12.2455 | − | 1.52810i | −0.805691 | − | 0.100542i | ||||
\(232\) | 2.10000 | − | 1.47044i | 0.137872 | − | 0.0965388i | ||||
\(233\) | −16.0181 | + | 22.8762i | −1.04938 | + | 1.49867i | −0.193773 | + | 0.981046i | \(0.562073\pi\) |
−0.855608 | + | 0.517625i | \(0.826816\pi\) | |||||||
\(234\) | −7.31916 | + | 7.51955i | −0.478468 | + | 0.491569i | ||||
\(235\) | 6.33680 | + | 2.84397i | 0.413367 | + | 0.185520i | ||||
\(236\) | 13.1349 | − | 7.58345i | 0.855010 | − | 0.493640i | ||||
\(237\) | −0.944500 | + | 0.304826i | −0.0613519 | + | 0.0198006i | ||||
\(238\) | 6.95885 | − | 0.608821i | 0.451075 | − | 0.0394640i | ||||
\(239\) | 5.78737 | + | 10.0240i | 0.374354 | + | 0.648400i | 0.990230 | − | 0.139443i | \(-0.0445312\pi\) |
−0.615876 | + | 0.787843i | \(0.711198\pi\) | |||||||
\(240\) | 0.757820 | − | 3.79812i | 0.0489171 | − | 0.245168i | ||||
\(241\) | −0.940669 | + | 0.342376i | −0.0605938 | + | 0.0220544i | −0.372139 | − | 0.928177i | \(-0.621376\pi\) |
0.311545 | + | 0.950231i | \(0.399153\pi\) | |||||||
\(242\) | 14.5502 | + | 10.1882i | 0.935323 | + | 0.654920i | ||||
\(243\) | 2.55521 | + | 15.3776i | 0.163917 | + | 0.986474i | ||||
\(244\) | 2.63706 | − | 7.24526i | 0.168820 | − | 0.463830i | ||||
\(245\) | −11.7049 | + | 0.169443i | −0.747798 | + | 0.0108253i | ||||
\(246\) | 1.77477 | + | 7.75720i | 0.113155 | + | 0.494581i | ||||
\(247\) | 2.66501 | − | 15.0120i | 0.169571 | − | 0.955190i | ||||
\(248\) | 6.65638 | + | 6.65638i | 0.422681 | + | 0.422681i | ||||
\(249\) | −18.5655 | − | 14.0477i | −1.17654 | − | 0.890234i | ||||
\(250\) | −11.1696 | − | 0.489998i | −0.706427 | − | 0.0309902i | ||||
\(251\) | 20.4656 | + | 3.60863i | 1.29178 | + | 0.227775i | 0.776973 | − | 0.629534i | \(-0.216754\pi\) |
0.514802 | + | 0.857309i | \(0.327865\pi\) | |||||||
\(252\) | −0.639002 | + | 3.93389i | −0.0402533 | + | 0.247812i | ||||
\(253\) | 17.2781 | − | 37.0529i | 1.08626 | − | 2.32950i | ||||
\(254\) | 2.68604 | − | 4.65236i | 0.168537 | − | 0.291915i | ||||
\(255\) | 20.3221 | − | 1.31995i | 1.27262 | − | 0.0826587i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 4.47707 | − | 0.391693i | 0.279272 | − | 0.0244332i | 0.0533408 | − | 0.998576i | \(-0.483013\pi\) |
0.225931 | + | 0.974143i | \(0.427457\pi\) | |||||||
\(258\) | 1.01546 | + | 0.0374682i | 0.0632196 | + | 0.00233267i | ||||
\(259\) | 4.51217 | + | 2.60511i | 0.280373 | + | 0.161873i | ||||
\(260\) | −7.04001 | + | 3.40773i | −0.436603 | + | 0.211338i | ||||
\(261\) | −6.23986 | + | 4.49598i | −0.386237 | + | 0.278294i | ||||
\(262\) | 13.4753 | − | 9.43552i | 0.832508 | − | 0.582929i | ||||
\(263\) | 1.77574 | + | 3.80808i | 0.109497 | + | 0.234816i | 0.953419 | − | 0.301649i | \(-0.0975371\pi\) |
−0.843922 | + | 0.536465i | \(0.819759\pi\) | |||||||
\(264\) | 5.60496 | − | 7.40756i | 0.344962 | − | 0.455904i | ||||
\(265\) | 4.37795 | − | 0.446964i | 0.268936 | − | 0.0274568i | ||||
\(266\) | −2.44117 | − | 5.25102i | −0.149677 | − | 0.321961i | ||||
\(267\) | −11.3121 | − | 7.09967i | −0.692288 | − | 0.434493i | ||||
\(268\) | −1.05602 | + | 12.0703i | −0.0645064 | + | 0.737312i | ||||
\(269\) | −7.87469 | − | 2.86615i | −0.480128 | − | 0.174752i | 0.0906067 | − | 0.995887i | \(-0.471119\pi\) |
−0.570735 | + | 0.821134i | \(0.693342\pi\) | |||||||
\(270\) | −2.11939 | + | 11.4240i | −0.128982 | + | 0.695244i | ||||
\(271\) | −0.0185044 | − | 0.104944i | −0.00112406 | − | 0.00637489i | 0.984241 | − | 0.176835i | \(-0.0565858\pi\) |
−0.985365 | + | 0.170460i | \(0.945475\pi\) | |||||||
\(272\) | −2.22221 | + | 4.76555i | −0.134741 | + | 0.288954i | ||||
\(273\) | 7.11387 | − | 3.76451i | 0.430551 | − | 0.227839i | ||||
\(274\) | 12.7532 | − | 7.36307i | 0.770450 | − | 0.444819i | ||||
\(275\) | −23.6012 | − | 12.7298i | −1.42320 | − | 0.767638i | ||||
\(276\) | −11.7527 | − | 6.01755i | −0.707428 | − | 0.362214i | ||||
\(277\) | −5.05671 | + | 18.8719i | −0.303828 | + | 1.13390i | 0.630122 | + | 0.776496i | \(0.283005\pi\) |
−0.933950 | + | 0.357405i | \(0.883662\pi\) | |||||||
\(278\) | −3.74063 | + | 1.00230i | −0.224348 | + | 0.0601139i | ||||
\(279\) | −20.2370 | − | 19.6977i | −1.21156 | − | 1.17927i | ||||
\(280\) | −1.44790 | + | 2.59383i | −0.0865283 | + | 0.155011i | ||||
\(281\) | −0.643203 | − | 0.113414i | −0.0383703 | − | 0.00676571i | 0.154430 | − | 0.988004i | \(-0.450646\pi\) |
−0.192800 | + | 0.981238i | \(0.561757\pi\) | |||||||
\(282\) | 4.24614 | − | 3.30397i | 0.252854 | − | 0.196748i | ||||
\(283\) | −0.567199 | + | 6.48312i | −0.0337165 | + | 0.385381i | 0.960523 | + | 0.278200i | \(0.0897379\pi\) |
−0.994240 | + | 0.107181i | \(0.965818\pi\) | |||||||
\(284\) | −5.24420 | −0.311186 | ||||||||
\(285\) | −6.77207 | − | 15.4641i | −0.401143 | − | 0.916015i | ||||
\(286\) | −18.7591 | −1.10925 | ||||||||
\(287\) | 0.531956 | − | 6.08028i | 0.0314004 | − | 0.358908i | ||||
\(288\) | −2.32396 | − | 1.89715i | −0.136941 | − | 0.111791i | ||||
\(289\) | −10.4869 | − | 1.84913i | −0.616877 | − | 0.108772i | ||||
\(290\) | −5.51506 | + | 1.56366i | −0.323855 | + | 0.0918212i | ||||
\(291\) | −3.09608 | − | 4.78822i | −0.181496 | − | 0.280690i | ||||
\(292\) | −12.1157 | + | 3.24638i | −0.709016 | + | 0.189980i | ||||
\(293\) | 6.31955 | − | 23.5849i | 0.369192 | − | 1.37784i | −0.492456 | − | 0.870337i | \(-0.663901\pi\) |
0.861648 | − | 0.507506i | \(-0.169433\pi\) | |||||||
\(294\) | −4.13251 | + | 8.07107i | −0.241013 | + | 0.470714i | ||||
\(295\) | −33.3102 | + | 6.37196i | −1.93940 | + | 0.370990i | ||||
\(296\) | −3.39649 | + | 1.96096i | −0.197417 | + | 0.113979i | ||||
\(297\) | −16.5133 | + | 22.4477i | −0.958197 | + | 1.30255i | ||||
\(298\) | 5.53658 | − | 11.8732i | 0.320725 | − | 0.687797i | ||||
\(299\) | 4.63023 | + | 26.2594i | 0.267773 | + | 1.51862i | ||||
\(300\) | −4.38947 | + | 7.46542i | −0.253426 | + | 0.431016i | ||||
\(301\) | −0.732383 | − | 0.266566i | −0.0422138 | − | 0.0153646i | ||||
\(302\) | −1.87141 | + | 21.3904i | −0.107688 | + | 1.23088i | ||||
\(303\) | −7.53095 | + | 11.9992i | −0.432642 | + | 0.689339i | ||||
\(304\) | 4.34187 | + | 0.384949i | 0.249023 | + | 0.0220783i | ||||
\(305\) | −10.8897 | + | 13.3661i | −0.623544 | + | 0.765341i | ||||
\(306\) | 6.47297 | − | 14.3854i | 0.370035 | − | 0.822357i | ||||
\(307\) | 8.92235 | + | 19.1341i | 0.509226 | + | 1.09204i | 0.977978 | + | 0.208708i | \(0.0669259\pi\) |
−0.468752 | + | 0.883330i | \(0.655296\pi\) | |||||||
\(308\) | −5.83625 | + | 4.08659i | −0.332551 | + | 0.232855i | ||||
\(309\) | 2.22535 | + | 5.27152i | 0.126596 | + | 0.299887i | ||||
\(310\) | −9.17104 | − | 18.9464i | −0.520880 | − | 1.07608i | ||||
\(311\) | 24.5864 | + | 14.1950i | 1.39417 | + | 0.804923i | 0.993773 | − | 0.111420i | \(-0.0355399\pi\) |
0.400394 | + | 0.916343i | \(0.368873\pi\) | |||||||
\(312\) | −0.223391 | + | 6.05431i | −0.0126470 | + | 0.342758i | ||||
\(313\) | −25.3827 | + | 2.22070i | −1.43472 | + | 0.125521i | −0.777833 | − | 0.628471i | \(-0.783681\pi\) |
−0.656883 | + | 0.753992i | \(0.728126\pi\) | |||||||
\(314\) | 0.0987785 | + | 0.0828850i | 0.00557440 | + | 0.00467747i | ||||
\(315\) | 4.23821 | − | 7.83942i | 0.238796 | − | 0.441702i | ||||
\(316\) | −0.286502 | + | 0.496236i | −0.0161170 | + | 0.0279154i | ||||
\(317\) | −4.72325 | + | 10.1290i | −0.265284 | + | 0.568904i | −0.993154 | − | 0.116811i | \(-0.962733\pi\) |
0.727870 | + | 0.685715i | \(0.240511\pi\) | |||||||
\(318\) | 1.28319 | − | 3.15803i | 0.0719576 | − | 0.177094i | ||||
\(319\) | −13.5400 | − | 2.38747i | −0.758096 | − | 0.133673i | ||||
\(320\) | −1.14595 | − | 1.92011i | −0.0640604 | − | 0.107337i | ||||
\(321\) | 6.28901 | − | 8.31161i | 0.351019 | − | 0.463909i | ||||
\(322\) | 7.16101 | + | 7.16101i | 0.399067 | + | 0.399067i | ||||
\(323\) | 3.95378 | + | 22.5764i | 0.219994 | + | 1.25618i | ||||
\(324\) | 7.04811 | + | 5.59680i | 0.391562 | + | 0.310933i | ||||
\(325\) | 17.3712 | − | 2.02797i | 0.963581 | − | 0.112491i | ||||
\(326\) | −4.59271 | + | 12.6184i | −0.254367 | + | 0.698867i | ||||
\(327\) | −3.13752 | − | 2.83627i | −0.173505 | − | 0.156846i | ||||
\(328\) | 3.76347 | + | 2.63521i | 0.207803 | + | 0.145505i | ||||
\(329\) | −3.87771 | + | 1.41137i | −0.213785 | + | 0.0778113i | ||||
\(330\) | −17.2773 | + | 11.5296i | −0.951085 | + | 0.634684i | ||||
\(331\) | 12.8597 | + | 22.2737i | 0.706835 | + | 1.22427i | 0.966025 | + | 0.258448i | \(0.0832110\pi\) |
−0.259190 | + | 0.965826i | \(0.583456\pi\) | |||||||
\(332\) | −13.3903 | + | 1.17150i | −0.734886 | + | 0.0642942i | ||||
\(333\) | 10.1091 | − | 6.01995i | 0.553975 | − | 0.329891i | ||||
\(334\) | −1.87786 | + | 1.08418i | −0.102752 | + | 0.0593238i | ||||
\(335\) | 11.0934 | − | 24.7179i | 0.606099 | − | 1.35048i | ||||
\(336\) | 1.24940 | + | 1.93225i | 0.0681604 | + | 0.105413i | ||||
\(337\) | −2.77873 | + | 3.96843i | −0.151367 | + | 0.216174i | −0.887673 | − | 0.460474i | \(-0.847679\pi\) |
0.736306 | + | 0.676648i | \(0.236568\pi\) | |||||||
\(338\) | −0.626768 | + | 0.438868i | −0.0340917 | + | 0.0238713i | ||||
\(339\) | −0.651165 | + | 5.21811i | −0.0353664 | + | 0.283409i | ||||
\(340\) | 8.19274 | − | 8.43342i | 0.444313 | − | 0.457366i | ||||
\(341\) | − | 50.4855i | − | 2.73394i | ||||||
\(342\) | −13.0400 | − | 0.978846i | −0.705123 | − | 0.0529299i | ||||
\(343\) | 11.4934 | − | 11.4934i | 0.620587 | − | 0.620587i | ||||
\(344\) | 0.449418 | − | 0.377106i | 0.0242310 | − | 0.0203322i | ||||
\(345\) | 20.4038 | + | 21.3393i | 1.09851 | + | 1.14887i | ||||
\(346\) | −1.30468 | + | 7.39922i | −0.0701401 | + | 0.397784i | ||||
\(347\) | −18.2061 | − | 12.7480i | −0.977354 | − | 0.684350i | −0.0283442 | − | 0.999598i | \(-0.509023\pi\) |
−0.949009 | + | 0.315248i | \(0.897912\pi\) | |||||||
\(348\) | −0.931771 | + | 4.34147i | −0.0499482 | + | 0.232727i | ||||
\(349\) | 20.1776 | + | 11.6496i | 1.08008 | + | 0.623587i | 0.930919 | − | 0.365226i | \(-0.119008\pi\) |
0.149165 | + | 0.988812i | \(0.452342\pi\) | |||||||
\(350\) | 4.96266 | − | 4.41516i | 0.265265 | − | 0.236000i | ||||
\(351\) | 0.424845 | − | 18.1703i | 0.0226766 | − | 0.969860i | ||||
\(352\) | −0.467422 | − | 5.34266i | −0.0249137 | − | 0.284765i | ||||
\(353\) | −6.17329 | + | 23.0390i | −0.328571 | + | 1.22624i | 0.582102 | + | 0.813116i | \(0.302230\pi\) |
−0.910673 | + | 0.413128i | \(0.864436\pi\) | |||||||
\(354\) | −7.73015 | + | 25.1068i | −0.410853 | + | 1.33441i | ||||
\(355\) | 11.0761 | + | 3.85074i | 0.587858 | + | 0.204376i | ||||
\(356\) | −7.59364 | + | 1.33896i | −0.402462 | + | 0.0709649i | ||||
\(357\) | −8.11363 | + | 8.97540i | −0.429419 | + | 0.475028i | ||||
\(358\) | −11.0711 | + | 5.16252i | −0.585124 | + | 0.272848i | ||||
\(359\) | −16.9445 | + | 14.2181i | −0.894296 | + | 0.750404i | −0.969067 | − | 0.246797i | \(-0.920622\pi\) |
0.0747709 | + | 0.997201i | \(0.476177\pi\) | |||||||
\(360\) | 3.51531 | + | 5.71337i | 0.185273 | + | 0.301121i | ||||
\(361\) | 16.4765 | − | 9.46173i | 0.867185 | − | 0.497986i | ||||
\(362\) | −8.25350 | + | 8.25350i | −0.433794 | + | 0.433794i | ||||
\(363\) | −30.4746 | + | 4.22158i | −1.59950 | + | 0.221575i | ||||
\(364\) | 1.58930 | − | 4.36658i | 0.0833022 | − | 0.228871i | ||||
\(365\) | 27.9729 | + | 2.03978i | 1.46417 | + | 0.106767i | ||||
\(366\) | 5.19375 | + | 12.3032i | 0.271481 | + | 0.643098i | ||||
\(367\) | 16.6067 | + | 7.74385i | 0.866865 | + | 0.404226i | 0.804588 | − | 0.593833i | \(-0.202386\pi\) |
0.0622767 | + | 0.998059i | \(0.480164\pi\) | |||||||
\(368\) | −7.36338 | + | 1.97301i | −0.383843 | + | 0.102850i | ||||
\(369\) | −11.3961 | − | 7.75244i | −0.593259 | − | 0.403576i | ||||
\(370\) | 8.61351 | − | 1.64769i | 0.447795 | − | 0.0856594i | ||||
\(371\) | −1.68059 | + | 2.00285i | −0.0872518 | + | 0.103983i | ||||
\(372\) | −16.2937 | − | 0.601202i | −0.844787 | − | 0.0311708i | ||||
\(373\) | 3.10888 | + | 11.6025i | 0.160972 | + | 0.600754i | 0.998520 | + | 0.0543907i | \(0.0173216\pi\) |
−0.837548 | + | 0.546364i | \(0.816012\pi\) | |||||||
\(374\) | 26.4994 | − | 9.64501i | 1.37025 | − | 0.498731i | ||||
\(375\) | 14.7526 | − | 12.5443i | 0.761821 | − | 0.647787i | ||||
\(376\) | 0.539390 | − | 3.05904i | 0.0278169 | − | 0.157758i | ||||
\(377\) | 8.12699 | − | 3.78968i | 0.418562 | − | 0.195178i | ||||
\(378\) | −3.82614 | − | 5.74561i | −0.196795 | − | 0.295522i | ||||
\(379\) | − | 9.26421i | − | 0.475871i | −0.971281 | − | 0.237935i | \(-0.923529\pi\) | ||
0.971281 | − | 0.237935i | \(-0.0764706\pi\) | |||||||
\(380\) | −8.88765 | − | 4.00121i | −0.455927 | − | 0.205258i | ||||
\(381\) | 2.07520 | + | 9.07036i | 0.106316 | + | 0.464689i | ||||
\(382\) | 26.0334 | + | 2.27763i | 1.33198 | + | 0.116533i | ||||
\(383\) | 3.64878 | + | 7.82484i | 0.186444 | + | 0.399831i | 0.977206 | − | 0.212293i | \(-0.0680931\pi\) |
−0.790762 | + | 0.612124i | \(0.790315\pi\) | |||||||
\(384\) | −1.72985 | + | 0.0872330i | −0.0882762 | + | 0.00445159i | ||||
\(385\) | 15.3273 | − | 4.34567i | 0.781150 | − | 0.221476i | ||||
\(386\) | −4.84349 | − | 13.3074i | −0.246527 | − | 0.677328i | ||||
\(387\) | −1.33285 | + | 1.14942i | −0.0677527 | + | 0.0584284i | ||||
\(388\) | −3.17988 | − | 0.852045i | −0.161434 | − | 0.0432560i | ||||
\(389\) | 3.42337 | + | 2.87255i | 0.173572 | + | 0.145644i | 0.725435 | − | 0.688290i | \(-0.241639\pi\) |
−0.551863 | + | 0.833935i | \(0.686083\pi\) | |||||||
\(390\) | 4.91741 | − | 12.6231i | 0.249003 | − | 0.639194i | ||||
\(391\) | −20.0420 | − | 34.7137i | −1.01357 | − | 1.75555i | ||||
\(392\) | 1.35495 | + | 5.05675i | 0.0684354 | + | 0.255404i | ||||
\(393\) | −5.97901 | + | 27.8584i | −0.301601 | + | 1.40527i | ||||
\(394\) | −1.76784 | + | 0.311718i | −0.0890625 | + | 0.0157041i | ||||
\(395\) | 0.969489 | − | 0.837708i | 0.0487803 | − | 0.0421497i | ||||
\(396\) | 1.61858 | + | 16.0076i | 0.0813366 | + | 0.804412i | ||||
\(397\) | −0.934852 | − | 0.0817890i | −0.0469189 | − | 0.00410487i | 0.0636721 | − | 0.997971i | \(-0.479719\pi\) |
−0.110591 | + | 0.993866i | \(0.535274\pi\) | |||||||
\(398\) | −1.88093 | − | 1.88093i | −0.0942825 | − | 0.0942825i | ||||
\(399\) | 9.28766 | + | 3.78639i | 0.464965 | + | 0.189557i | ||||
\(400\) | 1.01041 | + | 4.89684i | 0.0505205 | + | 0.244842i | ||||
\(401\) | −4.07946 | − | 4.86171i | −0.203718 | − | 0.242782i | 0.654506 | − | 0.756057i | \(-0.272877\pi\) |
−0.858224 | + | 0.513275i | \(0.828432\pi\) | |||||||
\(402\) | −12.8878 | − | 16.5629i | −0.642783 | − | 0.826081i | ||||
\(403\) | 18.8862 | + | 26.9723i | 0.940788 | + | 1.34358i | ||||
\(404\) | 1.42030 | + | 8.05492i | 0.0706626 | + | 0.400747i | ||||
\(405\) | −10.7764 | − | 16.9961i | −0.535485 | − | 0.844545i | ||||
\(406\) | 1.70287 | − | 2.94945i | 0.0845119 | − | 0.146379i | ||||
\(407\) | 20.3169 | + | 5.44389i | 1.00707 | + | 0.269843i | ||||
\(408\) | −2.79726 | − | 8.66726i | −0.138485 | − | 0.429093i | ||||
\(409\) | −9.11814 | + | 10.8666i | −0.450863 | + | 0.537318i | −0.942820 | − | 0.333302i | \(-0.891837\pi\) |
0.491957 | + | 0.870619i | \(0.336282\pi\) | |||||||
\(410\) | −6.01370 | − | 8.32919i | −0.296995 | − | 0.411350i | ||||
\(411\) | −7.50550 | + | 24.3771i | −0.370219 | + | 1.20244i | ||||
\(412\) | 2.99407 | + | 1.39616i | 0.147507 | + | 0.0687838i | ||||
\(413\) | 11.5570 | − | 16.5051i | 0.568681 | − | 0.812161i | ||||
\(414\) | 22.0082 | − | 6.21679i | 1.08164 | − | 0.305539i | ||||
\(415\) | 29.1413 | + | 7.35800i | 1.43049 | + | 0.361190i | ||||
\(416\) | 2.24837 | + | 2.67950i | 0.110235 | + | 0.131373i | ||||
\(417\) | 3.56567 | − | 5.68127i | 0.174612 | − | 0.278213i | ||||
\(418\) | −15.0057 | − | 17.9253i | −0.733952 | − | 0.876757i | ||||
\(419\) | 30.5521 | 1.49257 | 0.746285 | − | 0.665627i | \(-0.231836\pi\) | ||||
0.746285 | + | 0.665627i | \(0.231836\pi\) | |||||||
\(420\) | −1.21999 | − | 4.99846i | −0.0595296 | − | 0.243900i | ||||
\(421\) | 2.76749 | + | 1.00728i | 0.134879 | + | 0.0490920i | 0.408578 | − | 0.912723i | \(-0.366025\pi\) |
−0.273699 | + | 0.961816i | \(0.588247\pi\) | |||||||
\(422\) | −1.48943 | − | 2.12713i | −0.0725043 | − | 0.103547i | ||||
\(423\) | −1.49410 | + | 9.19812i | −0.0726456 | + | 0.447228i | ||||
\(424\) | −0.673115 | − | 1.84937i | −0.0326894 | − | 0.0898133i | ||||
\(425\) | −23.4961 | + | 11.7961i | −1.13973 | + | 0.572197i | ||||
\(426\) | 6.65527 | − | 6.18161i | 0.322449 | − | 0.299500i | ||||
\(427\) | −0.892730 | − | 10.2039i | −0.0432022 | − | 0.493804i | ||||
\(428\) | −0.524468 | − | 5.99470i | −0.0253511 | − | 0.289765i | ||||
\(429\) | 23.8067 | − | 22.1124i | 1.14940 | − | 1.06760i | ||||
\(430\) | −1.22610 | + | 0.466473i | −0.0591280 | + | 0.0224953i | ||||
\(431\) | 5.28621 | + | 14.5237i | 0.254628 | + | 0.699584i | 0.999477 | + | 0.0323505i | \(0.0102993\pi\) |
−0.744849 | + | 0.667233i | \(0.767479\pi\) | |||||||
\(432\) | 5.18555 | − | 0.331754i | 0.249490 | − | 0.0159615i | ||||
\(433\) | 7.60051 | + | 10.8547i | 0.365257 | + | 0.521642i | 0.959148 | − | 0.282904i | \(-0.0912978\pi\) |
−0.593891 | + | 0.804546i | \(0.702409\pi\) | |||||||
\(434\) | 11.7516 | + | 4.27722i | 0.564093 | + | 0.205313i | ||||
\(435\) | 5.15584 | − | 8.48528i | 0.247204 | − | 0.406838i | ||||
\(436\) | −2.44189 | −0.116945 | ||||||||
\(437\) | −21.3884 | + | 25.4296i | −1.02315 | + | 1.21646i | ||||
\(438\) | 11.5490 | − | 18.4013i | 0.551831 | − | 0.879247i | ||||
\(439\) | −17.5128 | − | 20.8709i | −0.835839 | − | 0.996115i | −0.999953 | − | 0.00967317i | \(-0.996921\pi\) |
0.164114 | − | 0.986441i | \(-0.447524\pi\) | |||||||
\(440\) | −2.93581 | + | 11.6273i | −0.139959 | + | 0.554309i | ||||
\(441\) | −4.26934 | − | 15.1140i | −0.203302 | − | 0.719713i | ||||
\(442\) | −10.5494 | + | 15.0661i | −0.501784 | + | 0.716622i | ||||
\(443\) | −19.2043 | − | 8.95509i | −0.912422 | − | 0.425469i | −0.0910394 | − | 0.995847i | \(-0.529019\pi\) |
−0.821382 | + | 0.570378i | \(0.806797\pi\) | |||||||
\(444\) | 1.99890 | − | 6.49222i | 0.0948634 | − | 0.308107i | ||||
\(445\) | 17.0215 | + | 2.74792i | 0.806894 | + | 0.130264i | ||||
\(446\) | 17.4094 | − | 20.7477i | 0.824357 | − | 0.982430i | ||||
\(447\) | 6.96928 | + | 21.5942i | 0.329636 | + | 1.02137i | ||||
\(448\) | 1.28322 | + | 0.343837i | 0.0606263 | + | 0.0162448i | ||||
\(449\) | 10.1864 | − | 17.6434i | 0.480727 | − | 0.832643i | −0.519029 | − | 0.854757i | \(-0.673706\pi\) |
0.999755 | + | 0.0221135i | \(0.00703953\pi\) | |||||||
\(450\) | −3.22933 | − | 14.6483i | −0.152232 | − | 0.690525i | ||||
\(451\) | −4.27866 | − | 24.2655i | −0.201474 | − | 1.14262i | ||||
\(452\) | 1.74140 | + | 2.48698i | 0.0819087 | + | 0.116978i | ||||
\(453\) | −22.8390 | − | 29.3518i | −1.07307 | − | 1.37907i | ||||
\(454\) | 9.57489 | + | 11.4109i | 0.449372 | + | 0.535540i | ||||
\(455\) | −6.56303 | + | 8.05550i | −0.307680 | + | 0.377648i | ||||
\(456\) | −5.96390 | + | 4.62946i | −0.279285 | + | 0.216794i | ||||
\(457\) | 18.6994 | + | 18.6994i | 0.874723 | + | 0.874723i | 0.992983 | − | 0.118260i | \(-0.0377316\pi\) |
−0.118260 | + | 0.992983i | \(0.537732\pi\) | |||||||
\(458\) | −6.13582 | − | 0.536815i | −0.286708 | − | 0.0250837i | ||||
\(459\) | 8.74212 | + | 25.8861i | 0.408047 | + | 1.20826i | ||||
\(460\) | 17.0007 | + | 1.23969i | 0.792661 | + | 0.0578009i | ||||
\(461\) | −1.99173 | + | 0.351195i | −0.0927639 | + | 0.0163568i | −0.219837 | − | 0.975537i | \(-0.570553\pi\) |
0.127074 | + | 0.991893i | \(0.459442\pi\) | |||||||
\(462\) | 2.58955 | − | 12.0657i | 0.120477 | − | 0.561346i | ||||
\(463\) | −1.67368 | − | 6.24627i | −0.0777827 | − | 0.290289i | 0.916067 | − | 0.401025i | \(-0.131346\pi\) |
−0.993850 | + | 0.110736i | \(0.964679\pi\) | |||||||
\(464\) | 1.28181 | + | 2.22017i | 0.0595067 | + | 0.103069i | ||||
\(465\) | 33.9718 | + | 13.2340i | 1.57541 | + | 0.613711i | ||||
\(466\) | −21.3931 | − | 17.9509i | −0.991016 | − | 0.831561i | ||||
\(467\) | −17.6589 | − | 4.73170i | −0.817158 | − | 0.218957i | −0.174054 | − | 0.984736i | \(-0.555687\pi\) |
−0.643104 | + | 0.765779i | \(0.722354\pi\) | |||||||
\(468\) | −6.85303 | − | 7.94668i | −0.316782 | − | 0.367335i | ||||
\(469\) | 5.50531 | + | 15.1257i | 0.254212 | + | 0.698441i | ||||
\(470\) | −3.38543 | + | 6.06482i | −0.156158 | + | 0.279749i | ||||
\(471\) | −0.223058 | + | 0.0112484i | −0.0102780 | + | 0.000518297i | ||||
\(472\) | 6.40981 | + | 13.7459i | 0.295035 | + | 0.632705i | ||||
\(473\) | −3.13440 | − | 0.274224i | −0.144120 | − | 0.0126088i | ||||
\(474\) | −0.221347 | − | 0.967473i | −0.0101668 | − | 0.0444375i | ||||
\(475\) | 15.8333 | + | 14.9769i | 0.726481 | + | 0.687187i | ||||
\(476\) | 6.98543i | 0.320177i | ||||||||
\(477\) | 2.09408 | + | 5.52033i | 0.0958814 | + | 0.252759i | ||||
\(478\) | −10.4903 | + | 4.89170i | −0.479814 | + | 0.223741i | ||||
\(479\) | 2.79023 | − | 15.8242i | 0.127489 | − | 0.723025i | −0.852310 | − | 0.523037i | \(-0.824799\pi\) |
0.979798 | − | 0.199987i | \(-0.0640901\pi\) | |||||||
\(480\) | 3.71762 | + | 1.08596i | 0.169685 | + | 0.0495673i | ||||
\(481\) | −12.8909 | + | 4.69192i | −0.587776 | + | 0.213933i | ||||
\(482\) | −0.259088 | − | 0.966930i | −0.0118011 | − | 0.0440424i | ||||
\(483\) | −17.5289 | − | 0.646779i | −0.797592 | − | 0.0294295i | ||||
\(484\) | −11.4175 | + | 13.6069i | −0.518979 | + | 0.618495i | ||||
\(485\) | 6.09047 | + | 4.13451i | 0.276554 | + | 0.187739i | ||||
\(486\) | −15.5418 | + | 1.20524i | −0.704990 | + | 0.0546709i | ||||
\(487\) | 6.43626 | − | 1.72459i | 0.291655 | − | 0.0781487i | −0.110025 | − | 0.993929i | \(-0.535093\pi\) |
0.401680 | + | 0.915780i | \(0.368426\pi\) | |||||||
\(488\) | 6.98785 | + | 3.25849i | 0.316325 | + | 0.147505i | ||||
\(489\) | −9.04545 | − | 21.4273i | −0.409050 | − | 0.968975i | ||||
\(490\) | 0.851350 | − | 11.6751i | 0.0384601 | − | 0.527428i | ||||
\(491\) | −13.9132 | + | 38.2263i | −0.627895 | + | 1.72513i | 0.0588875 | + | 0.998265i | \(0.481245\pi\) |
−0.686783 | + | 0.726863i | \(0.740978\pi\) | |||||||
\(492\) | −7.88237 | + | 1.09193i | −0.355365 | + | 0.0492279i | ||||
\(493\) | −9.53185 | + | 9.53185i | −0.429293 | + | 0.429293i | ||||
\(494\) | 14.7226 | + | 3.96325i | 0.662401 | + | 0.178315i | ||||
\(495\) | 8.33560 | − | 34.9976i | 0.374657 | − | 1.57302i | ||||
\(496\) | −7.21120 | + | 6.05091i | −0.323792 | + | 0.271694i | ||||
\(497\) | −6.31409 | + | 2.94431i | −0.283226 | + | 0.132070i | ||||
\(498\) | 15.6123 | − | 17.2705i | 0.699604 | − | 0.773910i | ||||
\(499\) | 28.7195 | − | 5.06402i | 1.28566 | − | 0.226697i | 0.511279 | − | 0.859415i | \(-0.329172\pi\) |
0.774382 | + | 0.632718i | \(0.218061\pi\) | |||||||
\(500\) | 1.46163 | − | 11.0844i | 0.0653660 | − | 0.495709i | ||||
\(501\) | 1.10515 | − | 3.58943i | 0.0493747 | − | 0.160364i | ||||
\(502\) | −5.37859 | + | 20.0732i | −0.240058 | + | 0.895910i | ||||
\(503\) | 0.433445 | + | 4.95430i | 0.0193264 | + | 0.220901i | 0.999716 | + | 0.0238323i | \(0.00758677\pi\) |
−0.980390 | + | 0.197069i | \(0.936858\pi\) | |||||||
\(504\) | −3.86323 | − | 0.979431i | −0.172082 | − | 0.0436273i | ||||
\(505\) | 2.91485 | − | 18.0554i | 0.129709 | − | 0.803456i | ||||
\(506\) | 35.4060 | + | 20.4417i | 1.57399 | + | 0.908744i | ||||
\(507\) | 0.278097 | − | 1.29576i | 0.0123507 | − | 0.0575467i | ||||
\(508\) | 4.40056 | + | 3.08130i | 0.195243 | + | 0.136711i | ||||
\(509\) | 2.14239 | − | 12.1501i | 0.0949598 | − | 0.538544i | −0.899800 | − | 0.436303i | \(-0.856288\pi\) |
0.994760 | − | 0.102241i | \(-0.0326012\pi\) | |||||||
\(510\) | −0.456257 | + | 20.3598i | −0.0202034 | + | 0.901548i | ||||
\(511\) | −12.7648 | + | 10.7109i | −0.564681 | + | 0.473824i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 17.7025 | − | 14.1287i | 0.781586 | − | 0.623798i | ||||
\(514\) | 4.49418i | 0.198230i | ||||||||
\(515\) | −5.29850 | − | 5.14728i | −0.233480 | − | 0.226816i | ||||
\(516\) | −0.125829 | + | 1.00833i | −0.00553929 | + | 0.0443891i | ||||
\(517\) | −13.6462 | + | 9.55516i | −0.600158 | + | 0.420235i | ||||
\(518\) | −2.98845 | + | 4.26795i | −0.131305 | + | 0.187523i | ||||
\(519\) | −7.06611 | − | 10.9280i | −0.310168 | − | 0.479688i | ||||
\(520\) | −2.78118 | − | 7.31022i | −0.121963 | − | 0.320574i | ||||
\(521\) | 1.73288 | − | 1.00048i | 0.0759189 | − | 0.0438318i | −0.461560 | − | 0.887109i | \(-0.652710\pi\) |
0.537479 | + | 0.843277i | \(0.319377\pi\) | |||||||
\(522\) | −3.93503 | − | 6.60796i | −0.172232 | − | 0.289223i | ||||
\(523\) | −2.98972 | + | 0.261567i | −0.130731 | + | 0.0114375i | −0.152334 | − | 0.988329i | \(-0.548679\pi\) |
0.0216022 | + | 0.999767i | \(0.493123\pi\) | |||||||
\(524\) | 8.22517 | + | 14.2464i | 0.359318 | + | 0.622357i | ||||
\(525\) | −1.09359 | + | 11.4529i | −0.0477282 | + | 0.499846i | ||||
\(526\) | −3.94835 | + | 1.43708i | −0.172156 | + | 0.0626598i | ||||
\(527\) | −40.5467 | − | 28.3911i | −1.76624 | − | 1.23674i | ||||
\(528\) | 6.89087 | + | 6.22925i | 0.299887 | + | 0.271093i | ||||
\(529\) | 12.0090 | − | 32.9946i | 0.522132 | − | 1.43455i | ||||
\(530\) | 0.0636990 | + | 4.40025i | 0.00276691 | + | 0.191135i | ||||
\(531\) | −19.7845 | − | 40.9742i | −0.858576 | − | 1.77813i | ||||
\(532\) | 5.44380 | − | 1.97422i | 0.236019 | − | 0.0855933i | ||||
\(533\) | 11.3634 | + | 11.3634i | 0.492203 | + | 0.492203i | ||||
\(534\) | 8.05857 | − | 10.6503i | 0.348728 | − | 0.460882i | ||||
\(535\) | −3.29411 | + | 13.0463i | −0.142417 | + | 0.564041i | ||||
\(536\) | −11.9323 | − | 2.10399i | −0.515399 | − | 0.0908787i | ||||
\(537\) | 7.96464 | − | 19.6017i | 0.343700 | − | 0.845874i | ||||
\(538\) | 3.54157 | − | 7.59492i | 0.152688 | − | 0.327440i | ||||
\(539\) | 14.0382 | − | 24.3149i | 0.604668 | − | 1.04732i | ||||
\(540\) | −11.1958 | − | 3.10699i | −0.481792 | − | 0.133704i | ||||
\(541\) | −14.4373 | − | 12.1144i | −0.620710 | − | 0.520837i | 0.277317 | − | 0.960779i | \(-0.410555\pi\) |
−0.898027 | + | 0.439941i | \(0.854999\pi\) | |||||||
\(542\) | 0.106157 | − | 0.00928756i | 0.00455985 | − | 0.000398935i | ||||
\(543\) | 0.745452 | − | 20.2031i | 0.0319904 | − | 0.866999i | ||||
\(544\) | −4.55374 | − | 2.62910i | −0.195240 | − | 0.112722i | ||||
\(545\) | 5.15744 | + | 1.79305i | 0.220920 | + | 0.0768056i | ||||
\(546\) | 3.13017 | + | 7.41490i | 0.133959 | + | 0.317328i | ||||
\(547\) | 14.8732 | − | 10.4144i | 0.635934 | − | 0.445286i | −0.210635 | − | 0.977565i | \(-0.567553\pi\) |
0.846569 | + | 0.532279i | \(0.178664\pi\) | |||||||
\(548\) | 6.22354 | + | 13.3464i | 0.265856 | + | 0.570131i | ||||
\(549\) | −21.0936 | − | 9.49149i | −0.900255 | − | 0.405087i | ||||
\(550\) | 14.7384 | − | 22.4019i | 0.628447 | − | 0.955219i | ||||
\(551\) | 10.1221 | + | 4.73435i | 0.431217 | + | 0.201690i | ||||
\(552\) | 7.01896 | − | 11.1835i | 0.298747 | − | 0.476001i | ||||
\(553\) | −0.0663452 | + | 0.758329i | −0.00282128 | + | 0.0322474i | ||||
\(554\) | −18.3593 | − | 6.68226i | −0.780014 | − | 0.283902i | ||||
\(555\) | −8.98894 | + | 12.2442i | −0.381559 | + | 0.519739i | ||||
\(556\) | −0.672468 | − | 3.81376i | −0.0285190 | − | 0.161739i | ||||
\(557\) | 10.6482 | − | 22.8352i | 0.451179 | − | 0.967557i | −0.540799 | − | 0.841152i | \(-0.681878\pi\) |
0.991979 | − | 0.126405i | \(-0.0403440\pi\) | |||||||
\(558\) | 21.3865 | − | 18.4432i | 0.905362 | − | 0.780764i | ||||
\(559\) | 1.77716 | − | 1.02604i | 0.0751658 | − | 0.0433970i | ||||
\(560\) | −2.45776 | − | 1.66845i | −0.103859 | − | 0.0705050i | ||||
\(561\) | −22.2606 | + | 43.4765i | −0.939844 | + | 1.83558i | ||||
\(562\) | 0.169041 | − | 0.630870i | 0.00713057 | − | 0.0266117i | ||||
\(563\) | 14.4554 | − | 3.87331i | 0.609222 | − | 0.163241i | 0.0589989 | − | 0.998258i | \(-0.481209\pi\) |
0.550224 | + | 0.835017i | \(0.314542\pi\) | |||||||
\(564\) | 2.92132 | + | 4.51794i | 0.123010 | + | 0.190240i | ||||
\(565\) | −1.85180 | − | 6.53136i | −0.0779060 | − | 0.274776i | ||||
\(566\) | −6.40901 | − | 1.13008i | −0.269391 | − | 0.0475009i | ||||
\(567\) | 11.6283 | + | 2.78152i | 0.488343 | + | 0.116813i | ||||
\(568\) | 0.457062 | − | 5.22424i | 0.0191779 | − | 0.219204i | ||||
\(569\) | 19.4507 | 0.815414 | 0.407707 | − | 0.913113i | \(-0.366328\pi\) | ||||
0.407707 | + | 0.913113i | \(0.366328\pi\) | |||||||
\(570\) | 15.9955 | − | 5.39852i | 0.669978 | − | 0.226119i | ||||
\(571\) | 21.2385 | 0.888803 | 0.444401 | − | 0.895828i | \(-0.353416\pi\) | ||||
0.444401 | + | 0.895828i | \(0.353416\pi\) | |||||||
\(572\) | 1.63497 | − | 18.6878i | 0.0683614 | − | 0.781374i | ||||
\(573\) | −35.7230 | + | 27.7964i | −1.49235 | + | 1.16121i | ||||
\(574\) | 6.01078 | + | 1.05986i | 0.250885 | + | 0.0442378i | ||||
\(575\) | −34.9963 | − | 15.1017i | −1.45945 | − | 0.629783i | ||||
\(576\) | 2.09248 | − | 2.14977i | 0.0871867 | − | 0.0895739i | ||||
\(577\) | −19.3178 | + | 5.17619i | −0.804210 | + | 0.215487i | −0.637432 | − | 0.770507i | \(-0.720003\pi\) |
−0.166779 | + | 0.985994i | \(0.553337\pi\) | |||||||
\(578\) | 2.75608 | − | 10.2858i | 0.114638 | − | 0.427835i | ||||
\(579\) | 21.8328 | + | 11.1787i | 0.907342 | + | 0.464573i | ||||
\(580\) | −1.07704 | − | 5.63036i | −0.0447216 | − | 0.233788i | ||||
\(581\) | −15.4643 | + | 8.92834i | −0.641569 | + | 0.370410i | ||||
\(582\) | 5.03984 | − | 2.66698i | 0.208908 | − | 0.110550i | ||||
\(583\) | −4.46066 | + | 9.56593i | −0.184742 | + | 0.396180i | ||||
\(584\) | −2.17808 | − | 12.3525i | −0.0901296 | − | 0.511150i | ||||
\(585\) | 8.63893 | + | 21.8160i | 0.357176 | + | 0.901980i | ||||
\(586\) | 22.9444 | + | 8.35106i | 0.947822 | + | 0.344979i | ||||
\(587\) | 0.743185 | − | 8.49465i | 0.0306745 | − | 0.350612i | −0.965311 | − | 0.261101i | \(-0.915914\pi\) |
0.995986 | − | 0.0895102i | \(-0.0285302\pi\) | |||||||
\(588\) | −7.68019 | − | 4.82023i | −0.316726 | − | 0.198783i | ||||
\(589\) | −10.6661 | + | 39.6222i | −0.439489 | + | 1.63260i | ||||
\(590\) | −3.44454 | − | 33.7388i | −0.141809 | − | 1.38901i | ||||
\(591\) | 1.87608 | − | 2.47944i | 0.0771716 | − | 0.101990i | ||||
\(592\) | −1.65748 | − | 3.55447i | −0.0681219 | − | 0.146088i | ||||
\(593\) | 3.29616 | − | 2.30799i | 0.135357 | − | 0.0947779i | −0.503937 | − | 0.863740i | \(-0.668116\pi\) |
0.639294 | + | 0.768963i | \(0.279227\pi\) | |||||||
\(594\) | −20.9231 | − | 18.4069i | −0.858484 | − | 0.755243i | ||||
\(595\) | 5.12930 | − | 14.7537i | 0.210281 | − | 0.604843i | ||||
\(596\) | 11.3455 | + | 6.55033i | 0.464730 | + | 0.268312i | ||||
\(597\) | 4.60419 | + | 0.169885i | 0.188437 | + | 0.00695292i | ||||
\(598\) | −26.5630 | + | 2.32396i | −1.08624 | + | 0.0950338i | ||||
\(599\) | 3.86227 | + | 3.24083i | 0.157808 | + | 0.132417i | 0.718273 | − | 0.695762i | \(-0.244933\pi\) |
−0.560465 | + | 0.828178i | \(0.689377\pi\) | |||||||
\(600\) | −7.05445 | − | 5.02342i | −0.287997 | − | 0.205080i | ||||
\(601\) | 1.91160 | − | 3.31099i | 0.0779759 | − | 0.135058i | −0.824401 | − | 0.566007i | \(-0.808488\pi\) |
0.902377 | + | 0.430948i | \(0.141821\pi\) | |||||||
\(602\) | 0.329383 | − | 0.706363i | 0.0134246 | − | 0.0287892i | ||||
\(603\) | 35.8790 | + | 5.82801i | 1.46111 | + | 0.237335i | ||||
\(604\) | −21.1459 | − | 3.72859i | −0.860413 | − | 0.151714i | ||||
\(605\) | 34.1059 | − | 20.3549i | 1.38660 | − | 0.827545i | ||||
\(606\) | −11.2972 | − | 8.54809i | −0.458918 | − | 0.347242i | ||||
\(607\) | 2.84202 | + | 2.84202i | 0.115354 | + | 0.115354i | 0.762428 | − | 0.647074i | \(-0.224007\pi\) |
−0.647074 | + | 0.762428i | \(0.724007\pi\) | |||||||
\(608\) | −0.761902 | + | 4.29180i | −0.0308992 | + | 0.174055i | ||||
\(609\) | 1.31561 | + | 5.75033i | 0.0533113 | + | 0.233015i | ||||
\(610\) | −12.3661 | − | 12.0132i | −0.500690 | − | 0.486401i | ||||
\(611\) | 3.71607 | − | 10.2098i | 0.150336 | − | 0.413045i | ||||
\(612\) | 13.7665 | + | 7.70211i | 0.556477 | + | 0.311339i | ||||
\(613\) | 5.51236 | + | 3.85979i | 0.222642 | + | 0.155896i | 0.679576 | − | 0.733605i | \(-0.262164\pi\) |
−0.456934 | + | 0.889500i | \(0.651053\pi\) | |||||||
\(614\) | −19.8389 | + | 7.22076i | −0.800632 | + | 0.291406i | ||||
\(615\) | 17.4499 | + | 3.48169i | 0.703647 | + | 0.140395i | ||||
\(616\) | −3.56237 | − | 6.17021i | −0.143532 | − | 0.248605i | ||||
\(617\) | 6.14646 | − | 0.537745i | 0.247447 | − | 0.0216488i | 0.0372425 | − | 0.999306i | \(-0.488143\pi\) |
0.210204 | + | 0.977657i | \(0.432587\pi\) | |||||||
\(618\) | −5.44542 | + | 1.75744i | −0.219047 | + | 0.0706947i | ||||
\(619\) | −13.5446 | + | 7.81999i | −0.544404 | + | 0.314312i | −0.746862 | − | 0.664979i | \(-0.768440\pi\) |
0.202458 | + | 0.979291i | \(0.435107\pi\) | |||||||
\(620\) | 19.6736 | − | 7.48485i | 0.790112 | − | 0.300599i | ||||
\(621\) | −20.6019 | + | 33.8318i | −0.826726 | + | 1.35762i | ||||
\(622\) | −16.2838 | + | 23.2557i | −0.652921 | + | 0.932468i | ||||
\(623\) | −8.39110 | + | 5.87551i | −0.336182 | + | 0.235397i | ||||
\(624\) | −6.01180 | − | 0.750209i | −0.240665 | − | 0.0300324i | ||||
\(625\) | −11.2262 | + | 22.3377i | −0.449047 | + | 0.893508i | ||||
\(626\) | − | 25.4797i | − | 1.01837i | ||||||
\(627\) | 40.1728 | + | 5.06055i | 1.60435 | + | 0.202099i | ||||
\(628\) | −0.0911788 | + | 0.0911788i | −0.00363843 | + | 0.00363843i | ||||
\(629\) | 15.7976 | − | 13.2557i | 0.629891 | − | 0.528541i | ||||
\(630\) | 7.44021 | + | 4.90534i | 0.296425 | + | 0.195433i | ||||
\(631\) | −1.33425 | + | 7.56690i | −0.0531156 | + | 0.301234i | −0.999780 | − | 0.0209884i | \(-0.993319\pi\) |
0.946664 | + | 0.322222i | \(0.104430\pi\) | |||||||
\(632\) | −0.469377 | − | 0.328661i | −0.0186708 | − | 0.0130734i | ||||
\(633\) | 4.39755 | + | 0.943807i | 0.174787 | + | 0.0375130i | ||||
\(634\) | −9.67885 | − | 5.58808i | −0.384396 | − | 0.221931i | ||||
\(635\) | −7.03171 | − | 9.73918i | −0.279045 | − | 0.386488i | ||||
\(636\) | 3.03418 | + | 1.55355i | 0.120313 | + | 0.0616021i | ||||
\(637\) | 1.59596 | + | 18.2420i | 0.0632344 | + | 0.722773i | ||||
\(638\) | 3.55848 | − | 13.2804i | 0.140882 | − | 0.525777i | ||||
\(639\) | −1.15942 | + | 15.6898i | −0.0458660 | + | 0.620680i | ||||
\(640\) | 2.01267 | − | 0.974238i | 0.0795580 | − | 0.0385101i | ||||
\(641\) | 26.2425 | − | 4.62726i | 1.03652 | − | 0.182766i | 0.370600 | − | 0.928792i | \(-0.379152\pi\) |
0.665916 | + | 0.746027i | \(0.268041\pi\) | |||||||
\(642\) | 7.73185 | + | 6.98949i | 0.305152 | + | 0.275853i | ||||
\(643\) | −1.71344 | + | 0.798990i | −0.0675715 | + | 0.0315091i | −0.456110 | − | 0.889923i | \(-0.650758\pi\) |
0.388539 | + | 0.921432i | \(0.372980\pi\) | |||||||
\(644\) | −7.75788 | + | 6.50964i | −0.305703 | + | 0.256516i | ||||
\(645\) | 1.00616 | − | 2.03726i | 0.0396175 | − | 0.0802170i | ||||
\(646\) | −22.8351 | + | 1.97107i | −0.898433 | + | 0.0775509i | ||||
\(647\) | −25.1858 | + | 25.1858i | −0.990157 | + | 0.990157i | −0.999952 | − | 0.00979501i | \(-0.996882\pi\) |
0.00979501 | + | 0.999952i | \(0.496882\pi\) | |||||||
\(648\) | −6.18978 | + | 6.53350i | −0.243158 | + | 0.256660i | ||||
\(649\) | 27.8203 | − | 76.4357i | 1.09204 | − | 3.00036i | ||||
\(650\) | 0.506249 | + | 17.4819i | 0.0198567 | + | 0.685695i | ||||
\(651\) | −19.9553 | + | 8.42408i | −0.782111 | + | 0.330166i | ||||
\(652\) | −12.1701 | − | 5.67500i | −0.476617 | − | 0.222250i | ||||
\(653\) | 10.4769 | − | 2.80727i | 0.409992 | − | 0.109857i | −0.0479273 | − | 0.998851i | \(-0.515262\pi\) |
0.457919 | + | 0.888994i | \(0.348595\pi\) | |||||||
\(654\) | 3.09894 | − | 2.87838i | 0.121178 | − | 0.112554i | ||||
\(655\) | −6.91117 | − | 36.1290i | −0.270042 | − | 1.41168i | ||||
\(656\) | −2.95319 | + | 3.51947i | −0.115303 | + | 0.137412i | ||||
\(657\) | 7.03406 | + | 36.9659i | 0.274425 | + | 1.44218i | ||||
\(658\) | −1.06803 | − | 3.98596i | −0.0416363 | − | 0.155389i | ||||
\(659\) | −4.15751 | + | 1.51321i | −0.161954 | + | 0.0589463i | −0.421725 | − | 0.906724i | \(-0.638575\pi\) |
0.259771 | + | 0.965670i | \(0.416353\pi\) | |||||||
\(660\) | −9.97992 | − | 18.2164i | −0.388468 | − | 0.709074i | ||||
\(661\) | 1.45703 | − | 8.26320i | 0.0566717 | − | 0.321401i | −0.943272 | − | 0.332021i | \(-0.892269\pi\) |
0.999944 | + | 0.0106200i | \(0.00338051\pi\) | |||||||
\(662\) | −23.3098 | + | 10.8695i | −0.905959 | + | 0.422456i | ||||
\(663\) | −4.37126 | − | 31.5551i | −0.169766 | − | 1.22550i | ||||
\(664\) | − | 13.4414i | − | 0.521628i | ||||||
\(665\) | −12.9473 | + | 0.172381i | −0.502075 | + | 0.00668463i | ||||
\(666\) | 5.11597 | + | 10.5953i | 0.198240 | + | 0.410559i | ||||
\(667\) | −19.4685 | − | 1.70327i | −0.753823 | − | 0.0659510i | ||||
\(668\) | −0.916390 | − | 1.96520i | −0.0354562 | − | 0.0760360i | ||||
\(669\) | 2.36263 | + | 46.8516i | 0.0913446 | + | 1.81139i | ||||
\(670\) | 23.6570 | + | 13.2055i | 0.913949 | + | 0.510174i | ||||
\(671\) | −14.1427 | − | 38.8568i | −0.545974 | − | 1.50005i | ||||
\(672\) | −2.03379 | + | 1.07624i | −0.0784552 | + | 0.0415169i | ||||
\(673\) | 3.41229 | + | 0.914320i | 0.131534 | + | 0.0352445i | 0.323985 | − | 0.946062i | \(-0.394977\pi\) |
−0.192451 | + | 0.981307i | \(0.561644\pi\) | |||||||
\(674\) | −3.71115 | − | 3.11403i | −0.142948 | − | 0.119948i | ||||
\(675\) | 21.3649 | + | 14.7831i | 0.822336 | + | 0.569002i | ||||
\(676\) | −0.382571 | − | 0.662633i | −0.0147143 | − | 0.0254859i | ||||
\(677\) | −7.01459 | − | 26.1788i | −0.269593 | − | 1.00613i | −0.959379 | − | 0.282120i | \(-0.908962\pi\) |
0.689786 | − | 0.724013i | \(-0.257704\pi\) | |||||||
\(678\) | −5.14150 | − | 1.10347i | −0.197458 | − | 0.0423787i | ||||
\(679\) | −4.30699 | + | 0.759439i | −0.165287 | + | 0.0291446i | ||||
\(680\) | 7.68728 | + | 8.89658i | 0.294794 | + | 0.341168i | ||||
\(681\) | −25.6019 | − | 3.19484i | −0.981065 | − | 0.122427i | ||||
\(682\) | 50.2934 | + | 4.40010i | 1.92583 | + | 0.168489i | ||||
\(683\) | 7.49846 | + | 7.49846i | 0.286921 | + | 0.286921i | 0.835861 | − | 0.548941i | \(-0.184969\pi\) |
−0.548941 | + | 0.835861i | \(0.684969\pi\) | |||||||
\(684\) | 2.11163 | − | 12.9051i | 0.0807403 | − | 0.493438i | ||||
\(685\) | −3.34444 | − | 32.7584i | −0.127784 | − | 1.25163i | ||||
\(686\) | 10.4480 | + | 12.4514i | 0.398906 | + | 0.475397i | ||||
\(687\) | 8.41957 | − | 6.55136i | 0.321227 | − | 0.249950i | ||||
\(688\) | 0.336502 | + | 0.480575i | 0.0128290 | + | 0.0183217i | ||||
\(689\) | −1.19538 | − | 6.77936i | −0.0455405 | − | 0.258273i | ||||
\(690\) | −23.0364 | + | 18.4663i | −0.876980 | + | 0.703002i | ||||
\(691\) | −13.9113 | + | 24.0952i | −0.529212 | + | 0.916623i | 0.470207 | + | 0.882556i | \(0.344179\pi\) |
−0.999420 | + | 0.0340667i | \(0.989154\pi\) | |||||||
\(692\) | −7.25735 | − | 1.94460i | −0.275883 | − | 0.0739227i | ||||
\(693\) | 10.9361 | + | 18.3646i | 0.415429 | + | 0.697615i | ||||
\(694\) | 14.2863 | − | 17.0257i | 0.542300 | − | 0.646288i | ||||
\(695\) | −1.38009 | + | 8.54869i | −0.0523498 | + | 0.324270i | ||||
\(696\) | −4.24374 | − | 1.30661i | −0.160859 | − | 0.0495269i | ||||
\(697\) | −21.8946 | − | 10.2096i | −0.829316 | − | 0.386717i | ||||
\(698\) | −13.3638 | + | 19.0855i | −0.505828 | + | 0.722398i | ||||
\(699\) | 48.3091 | − | 2.43613i | 1.82722 | − | 0.0921429i | ||||
\(700\) | 3.96584 | + | 5.32858i | 0.149895 | + | 0.201402i | ||||
\(701\) | −1.82151 | − | 2.17079i | −0.0687974 | − | 0.0819895i | 0.730548 | − | 0.682861i | \(-0.239265\pi\) |
−0.799345 | + | 0.600872i | \(0.794820\pi\) | |||||||
\(702\) | 18.0642 | + | 2.00688i | 0.681787 | + | 0.0757447i | ||||
\(703\) | −14.7950 | − | 8.56483i | −0.558004 | − | 0.323029i | ||||
\(704\) | 5.36307 | 0.202128 | ||||||||
\(705\) | −2.85256 | − | 11.6873i | −0.107434 | − | 0.440168i | ||||
\(706\) | −22.4133 | − | 8.15778i | −0.843536 | − | 0.307022i | ||||
\(707\) | 6.23243 | + | 8.90083i | 0.234395 | + | 0.334750i | ||||
\(708\) | −24.3375 | − | 9.88893i | −0.914659 | − | 0.371649i | ||||
\(709\) | 13.7840 | + | 37.8711i | 0.517668 | + | 1.42228i | 0.873083 | + | 0.487572i | \(0.162117\pi\) |
−0.355416 | + | 0.934708i | \(0.615661\pi\) | |||||||
\(710\) | −4.80143 | + | 10.6983i | −0.180195 | + | 0.401501i | ||||
\(711\) | 1.42132 | + | 0.966879i | 0.0533035 | + | 0.0362608i | ||||
\(712\) | −0.672039 | − | 7.68144i | −0.0251857 | − | 0.287874i | ||||
\(713\) | −6.25436 | − | 71.4876i | −0.234227 | − | 2.67723i | ||||
\(714\) | −8.23409 | − | 8.86502i | −0.308153 | − | 0.331765i | ||||
\(715\) | −17.1753 | + | 38.2693i | −0.642320 | + | 1.43119i | ||||
\(716\) | −4.17797 | − | 11.4789i | −0.156138 | − | 0.428986i | ||||
\(717\) | 7.54681 | − | 18.5733i | 0.281841 | − | 0.693634i | ||||
\(718\) | −12.6872 | − | 18.1192i | −0.473482 | − | 0.676203i | ||||
\(719\) | 8.02032 | + | 2.91916i | 0.299107 | + | 0.108866i | 0.487214 | − | 0.873282i | \(-0.338013\pi\) |
−0.188107 | + | 0.982149i | \(0.560235\pi\) | |||||||
\(720\) | −5.99801 | + | 3.00398i | −0.223533 | + | 0.111952i | ||||
\(721\) | 4.38877 | 0.163446 | ||||||||
\(722\) | 7.98971 | + | 17.2385i | 0.297346 | + | 0.641549i | ||||
\(723\) | 1.46857 | + | 0.921703i | 0.0546168 | + | 0.0342785i | ||||
\(724\) | −7.50276 | − | 8.94144i | −0.278838 | − | 0.332306i | ||||
\(725\) | −1.85951 | + | 12.6825i | −0.0690605 | + | 0.471018i | ||||
\(726\) | −1.54948 | − | 30.7266i | −0.0575065 | − | 1.14037i | ||||
\(727\) | 16.8770 | − | 24.1028i | 0.625933 | − | 0.893925i | −0.373499 | − | 0.927631i | \(-0.621842\pi\) |
0.999432 | + | 0.0337057i | \(0.0107309\pi\) | |||||||
\(728\) | 4.21145 | + | 1.96383i | 0.156087 | + | 0.0727844i | ||||
\(729\) | 18.3030 | − | 19.8495i | 0.677888 | − | 0.735165i | ||||
\(730\) | −4.47002 | + | 27.6887i | −0.165443 | + | 1.02480i | ||||
\(731\) | −1.98290 | + | 2.36313i | −0.0733403 | + | 0.0874035i | ||||
\(732\) | −12.7090 | + | 4.10169i | −0.469739 | + | 0.151603i | ||||
\(733\) | 20.4915 | + | 5.49067i | 0.756869 | + | 0.202802i | 0.616563 | − | 0.787306i | \(-0.288525\pi\) |
0.140306 | + | 0.990108i | \(0.455191\pi\) | |||||||
\(734\) | −9.16176 | + | 15.8686i | −0.338167 | + | 0.585722i | ||||
\(735\) | 12.6816 | + | 15.8201i | 0.467769 | + | 0.583533i | ||||
\(736\) | −1.32374 | − | 7.50732i | −0.0487938 | − | 0.276723i | ||||
\(737\) | 37.2717 | + | 53.2295i | 1.37292 | + | 1.96073i | ||||
\(738\) | 8.71618 | − | 10.6771i | 0.320847 | − | 0.393029i | ||||
\(739\) | 20.8102 | + | 24.8006i | 0.765515 | + | 0.912306i | 0.998183 | − | 0.0602505i | \(-0.0191900\pi\) |
−0.232668 | + | 0.972556i | \(0.574746\pi\) | |||||||
\(740\) | 0.890704 | + | 8.72434i | 0.0327429 | + | 0.320713i | ||||
\(741\) | −23.3557 | + | 12.3246i | −0.857994 | + | 0.452757i | ||||
\(742\) | −1.84875 | − | 1.84875i | −0.0678698 | − | 0.0678698i | ||||
\(743\) | −35.2898 | − | 3.08746i | −1.29466 | − | 0.113268i | −0.581081 | − | 0.813846i | \(-0.697370\pi\) |
−0.713576 | + | 0.700578i | \(0.752926\pi\) | |||||||
\(744\) | 2.01900 | − | 16.1793i | 0.0740201 | − | 0.593160i | ||||
\(745\) | −19.1526 | − | 22.1656i | −0.701698 | − | 0.812083i | ||||
\(746\) | −11.8293 | + | 2.08582i | −0.433101 | + | 0.0763674i | ||||
\(747\) | 0.544528 | + | 40.3205i | 0.0199232 | + | 1.47525i | ||||
\(748\) | 7.29873 | + | 27.2392i | 0.266868 | + | 0.995964i | ||||
\(749\) | −3.99714 | − | 6.92325i | −0.146052 | − | 0.252970i | ||||
\(750\) | 11.2108 | + | 15.7898i | 0.409362 | + | 0.576561i | ||||
\(751\) | 26.9627 | + | 22.6244i | 0.983884 | + | 0.825576i | 0.984671 | − | 0.174423i | \(-0.0558061\pi\) |
−0.000787037 | 1.00000i | \(0.500251\pi\) | ||||||||
\(752\) | 3.00038 | + | 0.803950i | 0.109413 | + | 0.0293171i | ||||
\(753\) | −16.8355 | − | 31.8143i | −0.613519 | − | 1.15938i | ||||
\(754\) | 3.06694 | + | 8.42636i | 0.111692 | + | 0.306870i | ||||
\(755\) | 41.9236 | + | 23.4021i | 1.52576 | + | 0.851691i | ||||
\(756\) | 6.05722 | − | 3.31082i | 0.220299 | − | 0.120413i | ||||
\(757\) | −4.60745 | − | 9.88071i | −0.167461 | − | 0.359120i | 0.804612 | − | 0.593801i | \(-0.202373\pi\) |
−0.972073 | + | 0.234681i | \(0.924596\pi\) | |||||||
\(758\) | 9.22896 | + | 0.807429i | 0.335211 | + | 0.0293272i | ||||
\(759\) | −69.0285 | + | 15.7930i | −2.50558 | + | 0.573249i | ||||
\(760\) | 4.76059 | − | 8.50510i | 0.172685 | − | 0.308512i | ||||
\(761\) | − | 44.9557i | − | 1.62964i | −0.579713 | − | 0.814821i | \(-0.696835\pi\) | ||
0.579713 | − | 0.814821i | \(-0.303165\pi\) | |||||||
\(762\) | −9.21671 | + | 1.27677i | −0.333886 | + | 0.0462525i | ||||
\(763\) | −2.94007 | + | 1.37098i | −0.106438 | + | 0.0496327i | ||||
\(764\) | −4.53792 | + | 25.7358i | −0.164176 | + | 0.931089i | ||||
\(765\) | −23.4202 | − | 26.3759i | −0.846758 | − | 0.953622i | ||||
\(766\) | −8.11308 | + | 2.95292i | −0.293138 | + | 0.106693i | ||||
\(767\) | 13.7307 | + | 51.2436i | 0.495787 | + | 1.85030i | ||||
\(768\) | 0.0638656 | − | 1.73087i | 0.00230455 | − | 0.0624575i | ||||
\(769\) | 3.37191 | − | 4.01849i | 0.121594 | − | 0.144910i | −0.701813 | − | 0.712361i | \(-0.747626\pi\) |
0.823407 | + | 0.567451i | \(0.192070\pi\) | |||||||
\(770\) | 2.99327 | + | 15.6477i | 0.107870 | + | 0.563904i | ||||
\(771\) | −5.29752 | − | 5.70343i | −0.190786 | − | 0.205404i | ||||
\(772\) | 13.6789 | − | 3.66524i | 0.492314 | − | 0.131915i | ||||
\(773\) | 19.3703 | + | 9.03251i | 0.696700 | + | 0.324877i | 0.738504 | − | 0.674249i | \(-0.235533\pi\) |
−0.0418036 | + | 0.999126i | \(0.513310\pi\) | |||||||
\(774\) | −1.02888 | − | 1.42796i | −0.0369824 | − | 0.0513270i | ||||
\(775\) | −47.0480 | + | 1.36244i | −1.69001 | + | 0.0489403i | ||||
\(776\) | 1.12595 | − | 3.09352i | 0.0404192 | − | 0.111051i | ||||
\(777\) | −1.23830 | − | 8.93899i | −0.0444237 | − | 0.320684i | ||||
\(778\) | −3.15999 | + | 3.15999i | −0.113291 | + | 0.113291i | ||||
\(779\) | −1.76859 | + | 19.9480i | −0.0633662 | + | 0.714713i | ||||
\(780\) | 12.1465 | + | 5.99887i | 0.434913 | + | 0.214794i | ||||
\(781\) | −21.5450 | + | 18.0784i | −0.770941 | + | 0.646896i | ||||
\(782\) | 36.3284 | − | 16.9402i | 1.29910 | − | 0.605781i | ||||
\(783\) | 12.7830 | + | 3.74755i | 0.456827 | + | 0.133927i | ||||
\(784\) | −5.15560 | + | 0.909071i | −0.184129 | + | 0.0324668i | ||||
\(785\) | 0.259527 | − | 0.125624i | 0.00926291 | − | 0.00448372i | ||||
\(786\) | −27.2313 | − | 8.38428i | −0.971309 | − | 0.299057i | ||||
\(787\) | −10.1149 | + | 37.7492i | −0.360556 | + | 1.34561i | 0.512790 | + | 0.858514i | \(0.328612\pi\) |
−0.873346 | + | 0.487100i | \(0.838055\pi\) | |||||||
\(788\) | −0.156454 | − | 1.78828i | −0.00557346 | − | 0.0637049i | ||||
\(789\) | 3.31678 | − | 6.47789i | 0.118080 | − | 0.230619i | ||||
\(790\) | 0.750024 | + | 1.03881i | 0.0266847 | + | 0.0369592i | ||||
\(791\) | 3.49297 | + | 2.01667i | 0.124196 | + | 0.0717044i | ||||
\(792\) | −16.0877 | + | 0.217265i | −0.571653 | + | 0.00772016i | ||||
\(793\) | 22.0918 | + | 15.4689i | 0.784504 | + | 0.549316i | ||||
\(794\) | 0.162955 | − | 0.924166i | 0.00578307 | − | 0.0327974i | ||||
\(795\) | −5.26764 | − | 5.50915i | −0.186824 | − | 0.195389i | ||||
\(796\) | 2.03771 | − | 1.70984i | 0.0722246 | − | 0.0606036i | ||||
\(797\) | 13.5281 | − | 13.5281i | 0.479189 | − | 0.479189i | −0.425683 | − | 0.904872i | \(-0.639966\pi\) |
0.904872 | + | 0.425683i | \(0.139966\pi\) | |||||||
\(798\) | −4.58145 | + | 8.92232i | −0.162182 | + | 0.315847i | ||||
\(799\) | 16.3332i | 0.577826i | ||||||||
\(800\) | −4.96627 | + | 0.579777i | −0.175584 | + | 0.0204982i | ||||
\(801\) | 2.32712 | + | 23.0150i | 0.0822247 | + | 0.813195i | ||||
\(802\) | 5.19875 | − | 3.64021i | 0.183574 | − | 0.128540i | ||||
\(803\) | −38.5841 | + | 55.1038i | −1.36160 | + | 1.94457i | ||||
\(804\) | 17.6231 | − | 11.3952i | 0.621519 | − | 0.401876i | ||||
\(805\) | 21.1651 | − | 8.05228i | 0.745972 | − | 0.283806i | ||||
\(806\) | −28.5157 | + | 16.4635i | −1.00442 | + | 0.579903i | ||||
\(807\) | 4.45802 | + | 13.8131i | 0.156930 | + | 0.486245i | ||||
\(808\) | −8.14806 | + | 0.712863i | −0.286648 | + | 0.0250784i | ||||
\(809\) | −11.9583 | − | 20.7123i | −0.420430 | − | 0.728206i | 0.575552 | − | 0.817766i | \(-0.304787\pi\) |
−0.995981 | + | 0.0895595i | \(0.971454\pi\) | |||||||
\(810\) | 17.8707 | − | 9.25412i | 0.627912 | − | 0.325156i | ||||
\(811\) | 24.5664 | − | 8.94144i | 0.862644 | − | 0.313977i | 0.127459 | − | 0.991844i | \(-0.459318\pi\) |
0.735184 | + | 0.677867i | \(0.237096\pi\) | |||||||
\(812\) | 2.78981 | + | 1.95345i | 0.0979033 | + | 0.0685526i | ||||
\(813\) | −0.123773 | + | 0.136920i | −0.00434093 | + | 0.00480198i | ||||
\(814\) | −7.19390 | + | 19.7651i | −0.252146 | + | 0.692766i | ||||
\(815\) | 21.5369 | + | 20.9223i | 0.754406 | + | 0.732876i | ||||
\(816\) | 8.87808 | − | 2.03121i | 0.310795 | − | 0.0711066i | ||||
\(817\) | 2.40201 | + | 0.877423i | 0.0840357 | + | 0.0306971i | ||||
\(818\) | −10.0305 | − | 10.0305i | −0.350709 | − | 0.350709i | ||||
\(819\) | −12.7127 | − | 5.72034i | −0.444219 | − | 0.199885i | ||||
\(820\) | 8.82163 | − | 5.26488i | 0.308065 | − | 0.183857i | ||||
\(821\) | −38.0768 | − | 6.71397i | −1.32889 | − | 0.234319i | −0.536275 | − | 0.844043i | \(-0.680169\pi\) |
−0.792614 | + | 0.609724i | \(0.791280\pi\) | |||||||
\(822\) | −23.6302 | − | 9.60155i | −0.824199 | − | 0.334893i | ||||
\(823\) | 14.4056 | − | 30.8929i | 0.502148 | − | 1.07686i | −0.477957 | − | 0.878383i | \(-0.658623\pi\) |
0.980105 | − | 0.198477i | \(-0.0635996\pi\) | |||||||
\(824\) | −1.65180 | + | 2.86099i | −0.0575430 | + | 0.0996675i | ||||
\(825\) | 7.70219 | + | 45.8025i | 0.268156 | + | 1.59464i | ||||
\(826\) | 15.4350 | + | 12.9515i | 0.537052 | + | 0.450641i | ||||
\(827\) | −6.46161 | + | 0.565317i | −0.224692 | + | 0.0196580i | −0.198946 | − | 0.980011i | \(-0.563752\pi\) |
−0.0257463 | + | 0.999669i | \(0.508196\pi\) | |||||||
\(828\) | 4.27500 | + | 22.4663i | 0.148566 | + | 0.780757i | ||||
\(829\) | −43.8683 | − | 25.3274i | −1.52361 | − | 0.879655i | −0.999610 | − | 0.0279360i | \(-0.991107\pi\) |
−0.523998 | − | 0.851719i | \(-0.675560\pi\) | |||||||
\(830\) | −9.86983 | + | 28.3891i | −0.342587 | + | 0.985401i | ||||
\(831\) | 31.1761 | − | 13.1609i | 1.08149 | − | 0.456545i | ||||
\(832\) | −2.86526 | + | 2.00628i | −0.0993350 | + | 0.0695551i | ||||
\(833\) | −11.6336 | − | 24.9483i | −0.403080 | − | 0.864407i | ||||
\(834\) | 5.34888 | + | 4.04726i | 0.185217 | + | 0.140145i | ||||
\(835\) | 0.492455 | + | 4.82353i | 0.0170421 | + | 0.166925i | ||||
\(836\) | 19.1650 | − | 13.3863i | 0.662834 | − | 0.462974i | ||||
\(837\) | −5.40101 | + | 48.6151i | −0.186686 | + | 1.68039i | ||||
\(838\) | −2.66279 | + | 30.4359i | −0.0919847 | + | 1.05139i | ||||
\(839\) | −34.4572 | − | 12.5414i | −1.18960 | − | 0.432977i | −0.330014 | − | 0.943976i | \(-0.607053\pi\) |
−0.859581 | + | 0.510999i | \(0.829276\pi\) | |||||||
\(840\) | 5.08577 | − | 0.779707i | 0.175476 | − | 0.0269025i | ||||
\(841\) | −3.89455 | − | 22.0871i | −0.134295 | − | 0.761624i | ||||
\(842\) | −1.24465 | + | 2.66917i | −0.0428936 | + | 0.0919856i | ||||
\(843\) | 0.529114 | + | 0.999877i | 0.0182237 | + | 0.0344376i | ||||
\(844\) | 2.24884 | − | 1.29837i | 0.0774084 | − | 0.0446918i | ||||
\(845\) | 0.321454 | + | 1.68044i | 0.0110584 | + | 0.0578089i | ||||
\(846\) | −9.03290 | − | 2.29008i | −0.310557 | − | 0.0787346i | ||||
\(847\) | −6.10741 | + | 22.7932i | −0.209853 | + | 0.783182i | ||||
\(848\) | 1.90100 | − | 0.509371i | 0.0652805 | − | 0.0174919i | ||||
\(849\) | 9.46558 | − | 6.12048i | 0.324858 | − | 0.210054i | ||||
\(850\) | −9.70342 | − | 24.4348i | −0.332825 | − | 0.838108i | ||||
\(851\) | 29.4431 | + | 5.19162i | 1.00930 | + | 0.177966i | ||||
\(852\) | 5.57804 | + | 7.16870i | 0.191101 | + | 0.245596i | ||||
\(853\) | −0.582006 | + | 6.65236i | −0.0199275 | + | 0.227772i | 0.979700 | + | 0.200471i | \(0.0642471\pi\) |
−0.999627 | + | 0.0273019i | \(0.991308\pi\) | |||||||
\(854\) | 10.2429 | 0.350506 | ||||||||
\(855\) | −13.9359 | + | 25.7058i | −0.476598 | + | 0.879121i | ||||
\(856\) | 6.01760 | 0.205677 | ||||||||
\(857\) | 4.27292 | − | 48.8397i | 0.145960 | − | 1.66833i | −0.471602 | − | 0.881811i | \(-0.656324\pi\) |
0.617562 | − | 0.786522i | \(-0.288120\pi\) | |||||||
\(858\) | 19.9533 | + | 25.6433i | 0.681196 | + | 0.875449i | ||||
\(859\) | 15.0770 | + | 2.65848i | 0.514419 | + | 0.0907060i | 0.424831 | − | 0.905273i | \(-0.360334\pi\) |
0.0895887 | + | 0.995979i | \(0.471445\pi\) | |||||||
\(860\) | −0.357835 | − | 1.26209i | −0.0122021 | − | 0.0430371i | ||||
\(861\) | −8.87743 | + | 5.74018i | −0.302542 | + | 0.195625i | ||||
\(862\) | −14.9292 | + | 4.00026i | −0.508490 | + | 0.136250i | ||||
\(863\) | 9.33986 | − | 34.8568i | 0.317933 | − | 1.18654i | −0.603295 | − | 0.797518i | \(-0.706146\pi\) |
0.921228 | − | 0.389023i | \(-0.127187\pi\) | |||||||
\(864\) | −0.121459 | + | 5.19473i | −0.00413213 | + | 0.176728i | ||||
\(865\) | 13.9001 | + | 9.43610i | 0.472618 | + | 0.320837i | ||||
\(866\) | −11.4758 | + | 6.62555i | −0.389963 | + | 0.225145i | ||||
\(867\) | 8.62680 | + | 16.3022i | 0.292981 | + | 0.553652i | ||||
\(868\) | −5.28515 | + | 11.3341i | −0.179390 | + | 0.384703i | ||||
\(869\) | 0.533631 | + | 3.02637i | 0.0181022 | + | 0.102663i | ||||
\(870\) | 8.00363 | + | 5.87576i | 0.271349 | + | 0.199207i | ||||
\(871\) | −39.8254 | − | 14.4952i | −1.34943 | − | 0.491153i | ||||
\(872\) | 0.212825 | − | 2.43260i | 0.00720716 | − | 0.0823782i | ||||
\(873\) | −3.25221 | + | 9.32531i | −0.110071 | + | 0.315614i | ||||
\(874\) | −23.4687 | − | 23.5233i | −0.793842 | − | 0.795689i | ||||
\(875\) | −4.46341 | − | 14.1664i | −0.150891 | − | 0.478911i | ||||
\(876\) | 17.3247 | + | 13.1088i | 0.585347 | + | 0.442905i | ||||
\(877\) | 2.94840 | + | 6.32286i | 0.0995604 | + | 0.213508i | 0.949779 | − | 0.312922i | \(-0.101308\pi\) |
−0.850218 | + | 0.526430i | \(0.823530\pi\) | |||||||
\(878\) | 22.3178 | − | 15.6271i | 0.753191 | − | 0.527390i | ||||
\(879\) | −38.9619 | + | 16.4476i | −1.31415 | + | 0.554764i | ||||
\(880\) | −11.3272 | − | 3.93803i | −0.381839 | − | 0.132751i | ||||
\(881\) | −25.1146 | − | 14.4999i | −0.846133 | − | 0.488515i | 0.0132110 | − | 0.999913i | \(-0.495795\pi\) |
−0.859344 | + | 0.511397i | \(0.829128\pi\) | |||||||
\(882\) | 15.4286 | − | 2.93582i | 0.519507 | − | 0.0988544i | ||||
\(883\) | 5.03079 | − | 0.440137i | 0.169300 | − | 0.0148118i | −0.00219075 | − | 0.999998i | \(-0.500697\pi\) |
0.171490 | + | 0.985186i | \(0.445142\pi\) | |||||||
\(884\) | −14.0893 | − | 11.8224i | −0.473876 | − | 0.397629i | ||||
\(885\) | 44.1411 | + | 38.7567i | 1.48379 | + | 1.30279i | ||||
\(886\) | 10.5948 | − | 18.3507i | 0.355938 | − | 0.616503i | ||||
\(887\) | 1.39388 | − | 2.98920i | 0.0468021 | − | 0.100367i | −0.881516 | − | 0.472154i | \(-0.843477\pi\) |
0.928318 | + | 0.371786i | \(0.121255\pi\) | |||||||
\(888\) | 6.29330 | + | 2.55712i | 0.211189 | + | 0.0858115i | ||||
\(889\) | 7.02830 | + | 1.23928i | 0.235722 | + | 0.0415641i | ||||
\(890\) | −4.22098 | + | 16.7172i | −0.141488 | + | 0.560361i | ||||
\(891\) | 48.2500 | − | 1.30347i | 1.61644 | − | 0.0436678i | ||||
\(892\) | 19.1514 | + | 19.1514i | 0.641236 | + | 0.641236i | ||||
\(893\) | 12.7286 | − | 4.61607i | 0.425945 | − | 0.154471i | ||||
\(894\) | −22.1195 | + | 5.06070i | −0.739786 | + | 0.169255i | ||||
\(895\) | 0.395374 | + | 27.3120i | 0.0132159 | + | 0.912939i | ||||
\(896\) | −0.454368 | + | 1.24837i | −0.0151794 | + | 0.0417050i | ||||
\(897\) | 30.9710 | − | 34.2605i | 1.03409 | − | 1.14392i | ||||
\(898\) | 16.6885 | + | 11.6854i | 0.556901 | + | 0.389946i | ||||
\(899\) | −22.6774 | + | 8.25391i | −0.756335 | + | 0.275283i | ||||
\(900\) | 14.8740 | − | 1.94036i | 0.495799 | − | 0.0646788i | ||||
\(901\) | 5.17422 | + | 8.96202i | 0.172378 | + | 0.298568i | ||||
\(902\) | 24.5460 | − | 2.14750i | 0.817294 | − | 0.0715039i | ||||
\(903\) | 0.414617 | + | 1.28469i | 0.0137976 | + | 0.0427517i | ||||
\(904\) | −2.62929 | + | 1.51802i | −0.0874489 | + | 0.0504886i | ||||
\(905\) | 9.28075 | + | 24.3941i | 0.308503 | + | 0.810886i | ||||
\(906\) | 31.2307 | − | 20.1939i | 1.03757 | − | 0.670897i | ||||
\(907\) | −16.7917 | + | 23.9810i | −0.557558 | + | 0.796275i | −0.994668 | − | 0.103133i | \(-0.967113\pi\) |
0.437110 | + | 0.899408i | \(0.356002\pi\) | |||||||
\(908\) | −12.2020 | + | 8.54393i | −0.404937 | + | 0.283540i | ||||
\(909\) | 24.4131 | − | 2.46848i | 0.809730 | − | 0.0818743i | ||||
\(910\) | −7.45284 | − | 7.24014i | −0.247059 | − | 0.240008i | ||||
\(911\) | 46.8456i | 1.55206i | 0.630694 | + | 0.776031i | \(0.282770\pi\) | ||||
−0.630694 | + | 0.776031i | \(0.717230\pi\) | |||||||
\(912\) | −4.09205 | − | 6.34469i | −0.135501 | − | 0.210094i | ||||
\(913\) | −50.9734 | + | 50.9734i | −1.68697 | + | 1.68697i | ||||
\(914\) | −20.2580 | + | 16.9985i | −0.670076 | + | 0.562261i | ||||
\(915\) | 29.8541 | + | 0.669022i | 0.986947 | + | 0.0221172i | ||||
\(916\) | 1.06954 | − | 6.06569i | 0.0353387 | − | 0.200416i | ||||
\(917\) | 17.9017 | + | 12.5349i | 0.591167 | + | 0.413940i | ||||
\(918\) | −26.5495 | + | 6.45273i | −0.876265 | + | 0.212972i | ||||
\(919\) | −27.5839 | − | 15.9256i | −0.909908 | − | 0.525336i | −0.0295065 | − | 0.999565i | \(-0.509394\pi\) |
−0.880402 | + | 0.474229i | \(0.842727\pi\) | |||||||
\(920\) | −2.71668 | + | 16.8280i | −0.0895664 | + | 0.554801i | ||||
\(921\) | 16.6655 | − | 32.5488i | 0.549146 | − | 1.07252i | ||||
\(922\) | −0.176268 | − | 2.01476i | −0.00580509 | − | 0.0663525i | ||||
\(923\) | 4.74761 | − | 17.7183i | 0.156269 | − | 0.583205i | ||||
\(924\) | 11.7941 | + | 3.63129i | 0.387996 | + | 0.119461i | ||||
\(925\) | 4.52493 | − | 19.0804i | 0.148779 | − | 0.627360i | ||||
\(926\) | 6.36837 | − | 1.12292i | 0.209278 | − | 0.0369013i | ||||
\(927\) | 4.83903 | − | 8.64912i | 0.158935 | − | 0.284074i | ||||
\(928\) | −2.32343 | + | 1.08344i | −0.0762705 | + | 0.0355655i | ||||
\(929\) | −11.4861 | + | 9.63802i | −0.376848 | + | 0.316213i | −0.811464 | − | 0.584403i | \(-0.801329\pi\) |
0.434615 | + | 0.900616i | \(0.356884\pi\) | |||||||
\(930\) | −16.1445 | + | 32.6891i | −0.529398 | + | 1.07192i | ||||
\(931\) | −16.1545 | + | 16.1170i | −0.529442 | + | 0.528213i | ||||
\(932\) | 19.7472 | − | 19.7472i | 0.646840 | − | 0.646840i | ||||
\(933\) | −6.74737 | − | 48.7077i | −0.220899 | − | 1.59462i | ||||
\(934\) | 6.25277 | − | 17.1793i | 0.204597 | − | 0.562125i | ||||
\(935\) | 4.58597 | − | 62.8904i | 0.149977 | − | 2.05674i | ||||
\(936\) | 8.51372 | − | 6.13436i | 0.278280 | − | 0.200508i | ||||
\(937\) | −35.6861 | − | 16.6407i | −1.16581 | − | 0.543628i | −0.259297 | − | 0.965798i | \(-0.583491\pi\) |
−0.906517 | + | 0.422170i | \(0.861269\pi\) | |||||||
\(938\) | −15.5480 | + | 4.16607i | −0.507660 | + | 0.136027i | ||||
\(939\) | 30.0342 | + | 32.3355i | 0.980130 | + | 1.05523i | ||||
\(940\) | −5.74668 | − | 3.90114i | −0.187436 | − | 0.127241i | ||||
\(941\) | −14.5461 | + | 17.3354i | −0.474190 | + | 0.565118i | −0.949124 | − | 0.314904i | \(-0.898028\pi\) |
0.474933 | + | 0.880022i | \(0.342472\pi\) | |||||||
\(942\) | 0.00823522 | − | 0.223190i | 0.000268318 | − | 0.00727191i | ||||
\(943\) | −9.06469 | − | 33.8299i | −0.295187 | − | 1.10165i | ||||
\(944\) | −14.2522 | + | 5.18738i | −0.463870 | + | 0.168835i | ||||
\(945\) | −15.2243 | + | 2.54494i | −0.495248 | + | 0.0827869i | ||||
\(946\) | 0.546361 | − | 3.09857i | 0.0177637 | − | 0.100743i | ||||
\(947\) | −16.2380 | + | 7.57192i | −0.527665 | + | 0.246054i | −0.668147 | − | 0.744029i | \(-0.732912\pi\) |
0.140482 | + | 0.990083i | \(0.455135\pi\) | |||||||
\(948\) | 0.983083 | − | 0.136184i | 0.0319291 | − | 0.00442306i | ||||
\(949\) | − | 43.8736i | − | 1.42420i | ||||||
\(950\) | −16.2999 | + | 14.4677i | −0.528837 | + | 0.469394i | ||||
\(951\) | 18.8701 | − | 4.31728i | 0.611905 | − | 0.139997i | ||||
\(952\) | −6.95885 | − | 0.608821i | −0.225538 | − | 0.0197320i | ||||
\(953\) | 15.3526 | + | 32.9237i | 0.497318 | + | 1.06650i | 0.981487 | + | 0.191527i | \(0.0613441\pi\) |
−0.484169 | + | 0.874974i | \(0.660878\pi\) | |||||||
\(954\) | −5.68184 | + | 1.60498i | −0.183956 | + | 0.0519633i | ||||
\(955\) | 28.4818 | − | 51.0236i | 0.921650 | − | 1.65109i | ||||
\(956\) | −3.95879 | − | 10.8767i | −0.128037 | − | 0.351777i | ||||
\(957\) | 11.1384 | + | 21.0484i | 0.360052 | + | 0.680398i | ||||
\(958\) | 15.5208 | + | 4.15878i | 0.501453 | + | 0.134364i | ||||
\(959\) | 14.9865 | + | 12.5751i | 0.483938 | + | 0.406072i | ||||
\(960\) | −1.40584 | + | 3.60882i | −0.0453734 | + | 0.116474i | ||||
\(961\) | −28.8075 | − | 49.8960i | −0.929273 | − | 1.60955i | ||||
\(962\) | −3.55054 | − | 13.2508i | −0.114474 | − | 0.427223i | ||||
\(963\) | −18.0511 | + | 0.243780i | −0.581690 | + | 0.00785571i | ||||
\(964\) | 0.985831 | − | 0.173829i | 0.0317515 | − | 0.00559864i | ||||
\(965\) | −31.5820 | − | 2.30296i | −1.01666 | − | 0.0741351i | ||||
\(966\) | 2.17206 | − | 17.4058i | 0.0698849 | − | 0.560023i | ||||
\(967\) | −26.2538 | − | 2.29691i | −0.844265 | − | 0.0738636i | −0.343189 | − | 0.939267i | \(-0.611507\pi\) |
−0.501077 | + | 0.865403i | \(0.667063\pi\) | |||||||
\(968\) | −12.5600 | − | 12.5600i | −0.403694 | − | 0.403694i | ||||
\(969\) | 26.6559 | − | 29.4183i | 0.856312 | − | 0.945052i | ||||
\(970\) | −4.64960 | + | 5.70694i | −0.149290 | + | 0.183239i | ||||
\(971\) | 13.4540 | + | 16.0338i | 0.431758 | + | 0.514549i | 0.937429 | − | 0.348177i | \(-0.113199\pi\) |
−0.505671 | + | 0.862727i | \(0.668755\pi\) | |||||||
\(972\) | 0.153900 | − | 15.5877i | 0.00493634 | − | 0.499976i | ||||
\(973\) | −2.95086 | − | 4.21427i | −0.0946002 | − | 0.135103i | ||||
\(974\) | 1.15707 | + | 6.56208i | 0.0370749 | + | 0.210262i | ||||
\(975\) | −21.2492 | − | 21.5890i | −0.680520 | − | 0.691401i | ||||
\(976\) | −3.85512 | + | 6.67726i | −0.123399 | + | 0.213734i | ||||
\(977\) | −23.4908 | − | 6.29434i | −0.751538 | − | 0.201374i | −0.137338 | − | 0.990524i | \(-0.543855\pi\) |
−0.614200 | + | 0.789150i | \(0.710521\pi\) | |||||||
\(978\) | 22.1341 | − | 7.14352i | 0.707771 | − | 0.228425i | ||||
\(979\) | −26.5815 | + | 31.6786i | −0.849548 | + | 1.01245i | ||||
\(980\) | 11.5565 | + | 1.86566i | 0.369158 | + | 0.0595964i | ||||
\(981\) | −0.539869 | + | 7.30575i | −0.0172367 | + | 0.233255i | ||||
\(982\) | −36.8682 | − | 17.1919i | −1.17651 | − | 0.548616i | ||||
\(983\) | −16.7592 | + | 23.9347i | −0.534536 | + | 0.763397i | −0.992055 | − | 0.125803i | \(-0.959849\pi\) |
0.457519 | + | 0.889200i | \(0.348738\pi\) | |||||||
\(984\) | −0.400778 | − | 7.94754i | −0.0127764 | − | 0.253358i | ||||
\(985\) | −0.982668 | + | 3.89185i | −0.0313104 | + | 0.124005i | ||||
\(986\) | −8.66482 | − | 10.3263i | −0.275944 | − | 0.328857i | ||||
\(987\) | 6.05387 | + | 3.79952i | 0.192697 | + | 0.120940i | ||||
\(988\) | −5.23133 | + | 14.3212i | −0.166431 | + | 0.455617i | ||||
\(989\) | −4.47229 | −0.142210 | ||||||||
\(990\) | 34.1379 | + | 11.3541i | 1.08497 | + | 0.360858i | ||||
\(991\) | 47.4218 | + | 17.2601i | 1.50640 | + | 0.548286i | 0.957709 | − | 0.287738i | \(-0.0929031\pi\) |
0.548694 | + | 0.836023i | \(0.315125\pi\) | |||||||
\(992\) | −5.39939 | − | 7.71113i | −0.171431 | − | 0.244829i | ||||
\(993\) | 16.7693 | − | 41.2706i | 0.532157 | − | 1.30968i | ||||
\(994\) | −2.38280 | − | 6.54668i | −0.0755777 | − | 0.207648i | ||||
\(995\) | −5.55928 | + | 2.11503i | −0.176241 | + | 0.0670511i | ||||
\(996\) | 15.8441 | + | 17.0581i | 0.502039 | + | 0.540507i | ||||
\(997\) | −0.398737 | − | 4.55759i | −0.0126281 | − | 0.144340i | 0.987263 | − | 0.159097i | \(-0.0508582\pi\) |
−0.999891 | + | 0.0147566i | \(0.995303\pi\) | |||||||
\(998\) | 2.54168 | + | 29.0516i | 0.0804556 | + | 0.919611i | ||||
\(999\) | −18.9818 | − | 7.41572i | −0.600556 | − | 0.234623i |
(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 | 570.2.bi.a.557.7 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.557.31 | yes | 480 | |
5.3 | odd | 4 | inner | 570.2.bi.a.443.37 | yes | 480 | |
15.8 | even | 4 | inner | 570.2.bi.a.443.2 | yes | 480 | |
19.16 | even | 9 | inner | 570.2.bi.a.377.2 | yes | 480 | |
57.35 | odd | 18 | inner | 570.2.bi.a.377.37 | yes | 480 | |
95.73 | odd | 36 | inner | 570.2.bi.a.263.31 | yes | 480 | |
285.263 | even | 36 | inner | 570.2.bi.a.263.7 | ✓ | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.263.7 | ✓ | 480 | 285.263 | even | 36 | inner | |
570.2.bi.a.263.31 | yes | 480 | 95.73 | odd | 36 | inner | |
570.2.bi.a.377.2 | yes | 480 | 19.16 | even | 9 | inner | |
570.2.bi.a.377.37 | yes | 480 | 57.35 | odd | 18 | inner | |
570.2.bi.a.443.2 | yes | 480 | 15.8 | even | 4 | inner | |
570.2.bi.a.443.37 | yes | 480 | 5.3 | odd | 4 | inner | |
570.2.bi.a.557.7 | yes | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.557.31 | yes | 480 | 3.2 | odd | 2 | inner |