Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(185,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.185");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.u (of order \(6\), degree \(2\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 185.5 | ||
Character | \(\chi\) | \(=\) | 546.185 |
Dual form | 546.2.u.a.425.5 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | −1.38893 | + | 1.03484i | −0.801897 | + | 0.597462i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −1.75377 | − | 3.03762i | −0.784311 | − | 1.35847i | −0.929410 | − | 0.369049i | \(-0.879684\pi\) |
0.145099 | − | 0.989417i | \(-0.453650\pi\) | |||||||
\(6\) | 1.72026 | − | 0.201730i | 0.702294 | − | 0.0823561i | ||||
\(7\) | 1.37341 | − | 2.26136i | 0.519102 | − | 0.854712i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0.858232 | − | 2.87462i | 0.286077 | − | 0.958207i | ||||
\(10\) | 3.50754i | 1.10918i | ||||||||
\(11\) | 3.53979i | 1.06729i | 0.845710 | + | 0.533643i | \(0.179177\pi\) | ||||
−0.845710 | + | 0.533643i | \(0.820823\pi\) | |||||||
\(12\) | −1.59066 | − | 0.685428i | −0.459183 | − | 0.197866i | ||||
\(13\) | −3.59167 | + | 0.316032i | −0.996151 | + | 0.0876514i | ||||
\(14\) | −2.32009 | + | 1.27169i | −0.620070 | + | 0.339872i | ||||
\(15\) | 5.57930 | + | 2.40417i | 1.44057 | + | 0.620754i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1.97842 | + | 3.42672i | 0.479837 | + | 0.831102i | 0.999733 | − | 0.0231281i | \(-0.00736256\pi\) |
−0.519896 | + | 0.854230i | \(0.674029\pi\) | |||||||
\(18\) | −2.18056 | + | 2.06038i | −0.513963 | + | 0.485636i | ||||
\(19\) | − | 6.65733i | − | 1.52730i | −0.645633 | − | 0.763648i | \(-0.723406\pi\) | ||
0.645633 | − | 0.763648i | \(-0.276594\pi\) | |||||||
\(20\) | 1.75377 | − | 3.03762i | 0.392155 | − | 0.679233i | ||||
\(21\) | 0.432561 | + | 4.56211i | 0.0943924 | + | 0.995535i | ||||
\(22\) | 1.76989 | − | 3.06555i | 0.377343 | − | 0.653576i | ||||
\(23\) | 1.11366 | + | 0.642974i | 0.232215 | + | 0.134069i | 0.611593 | − | 0.791172i | \(-0.290529\pi\) |
−0.379379 | + | 0.925242i | \(0.623862\pi\) | |||||||
\(24\) | 1.03484 | + | 1.38893i | 0.211235 | + | 0.283513i | ||||
\(25\) | −3.65143 | + | 6.32446i | −0.730286 | + | 1.26489i | ||||
\(26\) | 3.26850 | + | 1.52215i | 0.641005 | + | 0.298517i | ||||
\(27\) | 1.78274 | + | 4.88076i | 0.343088 | + | 0.939303i | ||||
\(28\) | 2.64510 | + | 0.0587331i | 0.499877 | + | 0.0110995i | ||||
\(29\) | −5.71124 | + | 3.29739i | −1.06055 | + | 0.612310i | −0.925585 | − | 0.378540i | \(-0.876426\pi\) |
−0.134967 | + | 0.990850i | \(0.543093\pi\) | |||||||
\(30\) | −3.62973 | − | 4.87172i | −0.662695 | − | 0.889450i | ||||
\(31\) | −8.14013 | − | 4.69971i | −1.46201 | − | 0.844092i | −0.462906 | − | 0.886407i | \(-0.653193\pi\) |
−0.999104 | + | 0.0423149i | \(0.986527\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | −3.66310 | − | 4.91650i | −0.637663 | − | 0.855853i | ||||
\(34\) | − | 3.95683i | − | 0.678592i | ||||||
\(35\) | −9.27780 | − | 0.206009i | −1.56823 | − | 0.0348219i | ||||
\(36\) | 2.91861 | − | 0.694059i | 0.486435 | − | 0.115676i | ||||
\(37\) | −5.28837 | + | 9.15972i | −0.869402 | + | 1.50585i | −0.00679300 | + | 0.999977i | \(0.502162\pi\) |
−0.862609 | + | 0.505871i | \(0.831171\pi\) | |||||||
\(38\) | −3.32866 | + | 5.76542i | −0.539981 | + | 0.935274i | ||||
\(39\) | 4.66153 | − | 4.15574i | 0.746442 | − | 0.665450i | ||||
\(40\) | −3.03762 | + | 1.75377i | −0.480290 | + | 0.277296i | ||||
\(41\) | −2.84220 | − | 4.92284i | −0.443877 | − | 0.768818i | 0.554096 | − | 0.832453i | \(-0.313064\pi\) |
−0.997973 | + | 0.0636346i | \(0.979731\pi\) | |||||||
\(42\) | 1.90645 | − | 4.16719i | 0.294171 | − | 0.643011i | ||||
\(43\) | −2.79284 | + | 4.83734i | −0.425904 | + | 0.737688i | −0.996504 | − | 0.0835402i | \(-0.973377\pi\) |
0.570600 | + | 0.821228i | \(0.306711\pi\) | |||||||
\(44\) | −3.06555 | + | 1.76989i | −0.462148 | + | 0.266821i | ||||
\(45\) | −10.2372 | + | 2.43444i | −1.52606 | + | 0.362905i | ||||
\(46\) | −0.642974 | − | 1.11366i | −0.0948013 | − | 0.164201i | ||||
\(47\) | −0.0582673 | − | 0.100922i | −0.00849915 | − | 0.0147210i | 0.861745 | − | 0.507342i | \(-0.169372\pi\) |
−0.870244 | + | 0.492621i | \(0.836039\pi\) | |||||||
\(48\) | −0.201730 | − | 1.72026i | −0.0291173 | − | 0.248299i | ||||
\(49\) | −3.22747 | − | 6.21156i | −0.461067 | − | 0.887365i | ||||
\(50\) | 6.32446 | − | 3.65143i | 0.894414 | − | 0.516390i | ||||
\(51\) | −6.29397 | − | 2.71212i | −0.881332 | − | 0.379773i | ||||
\(52\) | −2.06953 | − | 2.95247i | −0.286992 | − | 0.409433i | ||||
\(53\) | −6.70912 | − | 3.87351i | −0.921568 | − | 0.532068i | −0.0374333 | − | 0.999299i | \(-0.511918\pi\) |
−0.884135 | + | 0.467231i | \(0.845251\pi\) | |||||||
\(54\) | 0.896487 | − | 5.11823i | 0.121996 | − | 0.696503i | ||||
\(55\) | 10.7525 | − | 6.20798i | 1.44987 | − | 0.837084i | ||||
\(56\) | −2.26136 | − | 1.37341i | −0.302186 | − | 0.183530i | ||||
\(57\) | 6.88924 | + | 9.24654i | 0.912502 | + | 1.22473i | ||||
\(58\) | 6.59478 | 0.865937 | ||||||||
\(59\) | 2.84121 | + | 4.92113i | 0.369894 | + | 0.640676i | 0.989549 | − | 0.144199i | \(-0.0460605\pi\) |
−0.619654 | + | 0.784875i | \(0.712727\pi\) | |||||||
\(60\) | 0.707578 | + | 6.03390i | 0.0913480 | + | 0.778973i | ||||
\(61\) | 10.9893i | 1.40704i | 0.710677 | + | 0.703519i | \(0.248389\pi\) | ||||
−0.710677 | + | 0.703519i | \(0.751611\pi\) | |||||||
\(62\) | 4.69971 | + | 8.14013i | 0.596863 | + | 1.03380i | ||||
\(63\) | −5.32183 | − | 5.88881i | −0.670488 | − | 0.741921i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 7.25896 | + | 10.3559i | 0.900363 | + | 1.28449i | ||||
\(66\) | 0.714083 | + | 6.08936i | 0.0878975 | + | 0.749549i | ||||
\(67\) | 7.68334 | 0.938670 | 0.469335 | − | 0.883020i | \(-0.344494\pi\) | ||||
0.469335 | + | 0.883020i | \(0.344494\pi\) | |||||||
\(68\) | −1.97842 | + | 3.42672i | −0.239918 | + | 0.415551i | ||||
\(69\) | −2.21217 | + | 0.259415i | −0.266314 | + | 0.0312299i | ||||
\(70\) | 7.93181 | + | 4.81731i | 0.948032 | + | 0.575779i | ||||
\(71\) | −8.18290 | − | 4.72440i | −0.971132 | − | 0.560683i | −0.0715506 | − | 0.997437i | \(-0.522795\pi\) |
−0.899581 | + | 0.436754i | \(0.856128\pi\) | |||||||
\(72\) | −2.87462 | − | 0.858232i | −0.338777 | − | 0.101144i | ||||
\(73\) | 3.73438 | + | 2.15605i | 0.437076 | + | 0.252346i | 0.702357 | − | 0.711825i | \(-0.252131\pi\) |
−0.265280 | + | 0.964171i | \(0.585464\pi\) | |||||||
\(74\) | 9.15972 | − | 5.28837i | 1.06480 | − | 0.614760i | ||||
\(75\) | −1.47321 | − | 12.5628i | −0.170112 | − | 1.45063i | ||||
\(76\) | 5.76542 | − | 3.32866i | 0.661338 | − | 0.381824i | ||||
\(77\) | 8.00472 | + | 4.86159i | 0.912222 | + | 0.554030i | ||||
\(78\) | −6.11487 | + | 1.26821i | −0.692373 | + | 0.143596i | ||||
\(79\) | −2.63559 | − | 4.56498i | −0.296527 | − | 0.513601i | 0.678812 | − | 0.734312i | \(-0.262495\pi\) |
−0.975339 | + | 0.220712i | \(0.929162\pi\) | |||||||
\(80\) | 3.50754 | 0.392155 | ||||||||
\(81\) | −7.52687 | − | 4.93418i | −0.836319 | − | 0.548243i | ||||
\(82\) | 5.68441i | 0.627738i | ||||||||
\(83\) | 2.03056 | 0.222882 | 0.111441 | − | 0.993771i | \(-0.464453\pi\) | ||||
0.111441 | + | 0.993771i | \(0.464453\pi\) | |||||||
\(84\) | −3.73463 | + | 2.65567i | −0.407481 | + | 0.289757i | ||||
\(85\) | 6.93939 | − | 12.0194i | 0.752682 | − | 1.30368i | ||||
\(86\) | 4.83734 | − | 2.79284i | 0.521624 | − | 0.301160i | ||||
\(87\) | 4.52024 | − | 10.4900i | 0.484621 | − | 1.12465i | ||||
\(88\) | 3.53979 | 0.377343 | ||||||||
\(89\) | −0.177296 | + | 0.307085i | −0.0187933 | + | 0.0325509i | −0.875269 | − | 0.483636i | \(-0.839316\pi\) |
0.856476 | + | 0.516187i | \(0.172649\pi\) | |||||||
\(90\) | 10.0829 | + | 3.01029i | 1.06283 | + | 0.317312i | ||||
\(91\) | −4.21820 | + | 8.55610i | −0.442187 | + | 0.896923i | ||||
\(92\) | 1.28595i | 0.134069i | ||||||||
\(93\) | 16.1695 | − | 1.89615i | 1.67670 | − | 0.196621i | ||||
\(94\) | 0.116535i | 0.0120196i | ||||||||
\(95\) | −20.2224 | + | 11.6754i | −2.07478 | + | 1.19787i | ||||
\(96\) | −0.685428 | + | 1.59066i | −0.0699562 | + | 0.162346i | ||||
\(97\) | −0.507481 | − | 0.292994i | −0.0515269 | − | 0.0297491i | 0.474015 | − | 0.880517i | \(-0.342804\pi\) |
−0.525542 | + | 0.850768i | \(0.676137\pi\) | |||||||
\(98\) | −0.310710 | + | 6.99310i | −0.0313865 | + | 0.706410i | ||||
\(99\) | 10.1755 | + | 3.03796i | 1.02268 | + | 0.305326i | ||||
\(100\) | −7.30286 | −0.730286 | ||||||||
\(101\) | 3.92396 | 0.390449 | 0.195224 | − | 0.980759i | \(-0.437457\pi\) | ||||
0.195224 | + | 0.980759i | \(0.437457\pi\) | |||||||
\(102\) | 4.09467 | + | 5.49575i | 0.405433 | + | 0.544161i | ||||
\(103\) | −10.0847 | + | 5.82239i | −0.993673 | + | 0.573698i | −0.906370 | − | 0.422484i | \(-0.861158\pi\) |
−0.0873031 | + | 0.996182i | \(0.527825\pi\) | |||||||
\(104\) | 0.316032 | + | 3.59167i | 0.0309895 | + | 0.352193i | ||||
\(105\) | 13.0994 | − | 9.31486i | 1.27837 | − | 0.909038i | ||||
\(106\) | 3.87351 | + | 6.70912i | 0.376229 | + | 0.651647i | ||||
\(107\) | −6.26058 | − | 3.61455i | −0.605233 | − | 0.349432i | 0.165864 | − | 0.986149i | \(-0.446959\pi\) |
−0.771098 | + | 0.636717i | \(0.780292\pi\) | |||||||
\(108\) | −3.33550 | + | 3.98428i | −0.320958 | + | 0.383387i | ||||
\(109\) | 2.42081 | − | 4.19296i | 0.231871 | − | 0.401613i | −0.726487 | − | 0.687180i | \(-0.758848\pi\) |
0.958359 | + | 0.285567i | \(0.0921818\pi\) | |||||||
\(110\) | −12.4160 | −1.18381 | ||||||||
\(111\) | −2.13365 | − | 18.1948i | −0.202517 | − | 1.72697i | ||||
\(112\) | 1.27169 | + | 2.32009i | 0.120163 | + | 0.219228i | ||||
\(113\) | 17.4151 | + | 10.0546i | 1.63828 | + | 0.945859i | 0.981427 | + | 0.191836i | \(0.0614442\pi\) |
0.656848 | + | 0.754023i | \(0.271889\pi\) | |||||||
\(114\) | −1.34299 | − | 11.4524i | −0.125782 | − | 1.07261i | ||||
\(115\) | − | 4.51052i | − | 0.420608i | ||||||
\(116\) | −5.71124 | − | 3.29739i | −0.530276 | − | 0.306155i | ||||
\(117\) | −2.17402 | + | 10.5959i | −0.200988 | + | 0.979594i | ||||
\(118\) | − | 5.68243i | − | 0.523110i | ||||||
\(119\) | 10.4662 | + | 0.232397i | 0.959437 | + | 0.0213038i | ||||
\(120\) | 2.40417 | − | 5.57930i | 0.219470 | − | 0.509318i | ||||
\(121\) | −1.53009 | −0.139099 | ||||||||
\(122\) | 5.49466 | − | 9.51703i | 0.497463 | − | 0.861631i | ||||
\(123\) | 9.04194 | + | 3.89625i | 0.815284 | + | 0.351313i | ||||
\(124\) | − | 9.39941i | − | 0.844092i | ||||||
\(125\) | 8.07739 | 0.722464 | ||||||||
\(126\) | 1.66444 | + | 7.76078i | 0.148280 | + | 0.691385i | ||||
\(127\) | 1.68665 | + | 2.92136i | 0.149666 | + | 0.259228i | 0.931104 | − | 0.364754i | \(-0.118847\pi\) |
−0.781438 | + | 0.623983i | \(0.785514\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | −1.12680 | − | 9.60884i | −0.0992094 | − | 0.846011i | ||||
\(130\) | −1.10850 | − | 12.5980i | −0.0972215 | − | 1.10491i | ||||
\(131\) | −3.63596 | − | 6.29766i | −0.317675 | − | 0.550229i | 0.662328 | − | 0.749214i | \(-0.269569\pi\) |
−0.980002 | + | 0.198985i | \(0.936235\pi\) | |||||||
\(132\) | 2.42627 | − | 5.63059i | 0.211180 | − | 0.490080i | ||||
\(133\) | −15.0546 | − | 9.14327i | −1.30540 | − | 0.792822i | ||||
\(134\) | −6.65397 | − | 3.84167i | −0.574815 | − | 0.331870i | ||||
\(135\) | 11.6994 | − | 13.9750i | 1.00692 | − | 1.20278i | ||||
\(136\) | 3.42672 | − | 1.97842i | 0.293839 | − | 0.169648i | ||||
\(137\) | −6.43264 | + | 3.71389i | −0.549578 | + | 0.317299i | −0.748952 | − | 0.662625i | \(-0.769443\pi\) |
0.199374 | + | 0.979923i | \(0.436109\pi\) | |||||||
\(138\) | 2.04550 | + | 0.881424i | 0.174125 | + | 0.0750318i | ||||
\(139\) | −3.55436 | − | 2.05211i | −0.301477 | − | 0.174058i | 0.341629 | − | 0.939835i | \(-0.389021\pi\) |
−0.643106 | + | 0.765777i | \(0.722355\pi\) | |||||||
\(140\) | −4.46049 | − | 8.13782i | −0.376980 | − | 0.687771i | ||||
\(141\) | 0.185366 | + | 0.0798760i | 0.0156107 | + | 0.00672677i | ||||
\(142\) | 4.72440 | + | 8.18290i | 0.396463 | + | 0.686694i | ||||
\(143\) | −1.11868 | − | 12.7138i | −0.0935491 | − | 1.06318i | ||||
\(144\) | 2.06038 | + | 2.18056i | 0.171698 | + | 0.181713i | ||||
\(145\) | 20.0324 | + | 11.5657i | 1.66360 | + | 0.960482i | ||||
\(146\) | −2.15605 | − | 3.73438i | −0.178436 | − | 0.309060i | ||||
\(147\) | 10.9107 | + | 5.28750i | 0.899896 | + | 0.436106i | ||||
\(148\) | −10.5767 | −0.869402 | ||||||||
\(149\) | 2.55296i | 0.209147i | 0.994517 | + | 0.104573i | \(0.0333477\pi\) | ||||
−0.994517 | + | 0.104573i | \(0.966652\pi\) | |||||||
\(150\) | −5.00559 | + | 11.6163i | −0.408704 | + | 0.948471i | ||||
\(151\) | 4.89737 | − | 8.48249i | 0.398542 | − | 0.690296i | −0.595004 | − | 0.803723i | \(-0.702850\pi\) |
0.993546 | + | 0.113427i | \(0.0361829\pi\) | |||||||
\(152\) | −6.65733 | −0.539981 | ||||||||
\(153\) | 11.5485 | − | 2.74628i | 0.933637 | − | 0.222023i | ||||
\(154\) | −4.50149 | − | 8.21262i | −0.362741 | − | 0.661792i | ||||
\(155\) | 32.9689i | 2.64812i | ||||||||
\(156\) | 5.92974 | + | 1.95914i | 0.474759 | + | 0.156856i | ||||
\(157\) | −11.3514 | − | 6.55373i | −0.905940 | − | 0.523045i | −0.0268175 | − | 0.999640i | \(-0.508537\pi\) |
−0.879123 | + | 0.476596i | \(0.841871\pi\) | |||||||
\(158\) | 5.27119i | 0.419353i | ||||||||
\(159\) | 13.3269 | − | 1.56281i | 1.05689 | − | 0.123939i | ||||
\(160\) | −3.03762 | − | 1.75377i | −0.240145 | − | 0.138648i | ||||
\(161\) | 2.98351 | − | 1.63532i | 0.235134 | − | 0.128881i | ||||
\(162\) | 4.05137 | + | 8.03656i | 0.318306 | + | 0.631412i | ||||
\(163\) | 14.4366 | 1.13076 | 0.565380 | − | 0.824831i | \(-0.308730\pi\) | ||||
0.565380 | + | 0.824831i | \(0.308730\pi\) | |||||||
\(164\) | 2.84220 | − | 4.92284i | 0.221939 | − | 0.384409i | ||||
\(165\) | −8.51024 | + | 19.7495i | −0.662521 | + | 1.53750i | ||||
\(166\) | −1.75851 | − | 1.01528i | −0.136487 | − | 0.0788009i | ||||
\(167\) | −8.84596 | − | 15.3217i | −0.684521 | − | 1.18563i | −0.973587 | − | 0.228316i | \(-0.926678\pi\) |
0.289066 | − | 0.957309i | \(-0.406655\pi\) | |||||||
\(168\) | 4.56211 | − | 0.432561i | 0.351975 | − | 0.0333728i | ||||
\(169\) | 12.8002 | − | 2.27017i | 0.984634 | − | 0.174628i | ||||
\(170\) | −12.0194 | + | 6.93939i | −0.921844 | + | 0.532227i | ||||
\(171\) | −19.1373 | − | 5.71353i | −1.46346 | − | 0.436925i | ||||
\(172\) | −5.58568 | −0.425904 | ||||||||
\(173\) | −5.71063 | −0.434171 | −0.217086 | − | 0.976153i | \(-0.569655\pi\) | ||||
−0.217086 | + | 0.976153i | \(0.569655\pi\) | |||||||
\(174\) | −9.15966 | + | 6.82451i | −0.694392 | + | 0.517365i | ||||
\(175\) | 9.28694 | + | 16.9433i | 0.702027 | + | 1.28079i | ||||
\(176\) | −3.06555 | − | 1.76989i | −0.231074 | − | 0.133411i | ||||
\(177\) | −9.03879 | − | 3.89489i | −0.679397 | − | 0.292758i | ||||
\(178\) | 0.307085 | − | 0.177296i | 0.0230170 | − | 0.0132889i | ||||
\(179\) | − | 15.3079i | − | 1.14417i | −0.820196 | − | 0.572083i | \(-0.806136\pi\) | ||
0.820196 | − | 0.572083i | \(-0.193864\pi\) | |||||||
\(180\) | −7.22686 | − | 7.64841i | −0.538659 | − | 0.570079i | ||||
\(181\) | − | 16.4841i | − | 1.22525i | −0.790373 | − | 0.612627i | \(-0.790113\pi\) | ||
0.790373 | − | 0.612627i | \(-0.209887\pi\) | |||||||
\(182\) | 7.93111 | − | 5.30070i | 0.587893 | − | 0.392914i | ||||
\(183\) | −11.3721 | − | 15.2633i | −0.840652 | − | 1.12830i | ||||
\(184\) | 0.642974 | − | 1.11366i | 0.0474007 | − | 0.0821003i | ||||
\(185\) | 37.0983 | 2.72752 | ||||||||
\(186\) | −14.9512 | − | 6.44262i | −1.09628 | − | 0.472396i | ||||
\(187\) | −12.1299 | + | 7.00318i | −0.887023 | + | 0.512123i | ||||
\(188\) | 0.0582673 | − | 0.100922i | 0.00424958 | − | 0.00736048i | ||||
\(189\) | 13.4856 | + | 2.67191i | 0.980932 | + | 0.194353i | ||||
\(190\) | 23.3509 | 1.69405 | ||||||||
\(191\) | − | 7.99466i | − | 0.578473i | −0.957258 | − | 0.289237i | \(-0.906599\pi\) | ||
0.957258 | − | 0.289237i | \(-0.0934015\pi\) | |||||||
\(192\) | 1.38893 | − | 1.03484i | 0.100237 | − | 0.0746828i | ||||
\(193\) | −15.9681 | −1.14941 | −0.574703 | − | 0.818362i | \(-0.694882\pi\) | ||||
−0.574703 | + | 0.818362i | \(0.694882\pi\) | |||||||
\(194\) | 0.292994 | + | 0.507481i | 0.0210358 | + | 0.0364350i | ||||
\(195\) | −20.7988 | − | 6.87175i | −1.48943 | − | 0.492096i | ||||
\(196\) | 3.76563 | − | 5.90085i | 0.268974 | − | 0.421489i | ||||
\(197\) | −23.1575 | + | 13.3700i | −1.64990 | + | 0.952571i | −0.672794 | + | 0.739830i | \(0.734906\pi\) |
−0.977109 | + | 0.212741i | \(0.931761\pi\) | |||||||
\(198\) | −7.29330 | − | 7.71872i | −0.518312 | − | 0.548546i | ||||
\(199\) | −1.88267 | + | 1.08696i | −0.133459 | + | 0.0770526i | −0.565243 | − | 0.824924i | \(-0.691218\pi\) |
0.431784 | + | 0.901977i | \(0.357884\pi\) | |||||||
\(200\) | 6.32446 | + | 3.65143i | 0.447207 | + | 0.258195i | ||||
\(201\) | −10.6716 | + | 7.95099i | −0.752716 | + | 0.560820i | ||||
\(202\) | −3.39825 | − | 1.96198i | −0.239100 | − | 0.138044i | ||||
\(203\) | −0.387332 | + | 17.4438i | −0.0271854 | + | 1.22432i | ||||
\(204\) | −0.798214 | − | 6.80680i | −0.0558862 | − | 0.476571i | ||||
\(205\) | −9.96915 | + | 17.2671i | −0.696276 | + | 1.20598i | ||||
\(206\) | 11.6448 | 0.811331 | ||||||||
\(207\) | 2.80409 | − | 2.64954i | 0.194898 | − | 0.184156i | ||||
\(208\) | 1.52215 | − | 3.26850i | 0.105542 | − | 0.226629i | ||||
\(209\) | 23.5655 | 1.63006 | ||||||||
\(210\) | −16.0018 | + | 1.51722i | −1.10423 | + | 0.104698i | ||||
\(211\) | −2.63990 | − | 4.57244i | −0.181738 | − | 0.314779i | 0.760734 | − | 0.649063i | \(-0.224839\pi\) |
−0.942472 | + | 0.334284i | \(0.891506\pi\) | |||||||
\(212\) | − | 7.74702i | − | 0.532068i | ||||||
\(213\) | 16.2544 | − | 1.90611i | 1.11373 | − | 0.130605i | ||||
\(214\) | 3.61455 | + | 6.26058i | 0.247085 | + | 0.427964i | ||||
\(215\) | 19.5920 | 1.33616 | ||||||||
\(216\) | 4.88076 | − | 1.78274i | 0.332094 | − | 0.121300i | ||||
\(217\) | −21.8075 | + | 11.9531i | −1.48039 | + | 0.811429i | ||||
\(218\) | −4.19296 | + | 2.42081i | −0.283983 | + | 0.163958i | ||||
\(219\) | −7.41793 | + | 0.869880i | −0.501258 | + | 0.0587811i | ||||
\(220\) | 10.7525 | + | 6.20798i | 0.724936 | + | 0.418542i | ||||
\(221\) | −8.18878 | − | 11.6824i | −0.550837 | − | 0.785844i | ||||
\(222\) | −7.24959 | + | 16.8239i | −0.486560 | + | 1.12915i | ||||
\(223\) | 9.21057 | − | 5.31772i | 0.616785 | − | 0.356101i | −0.158831 | − | 0.987306i | \(-0.550773\pi\) |
0.775616 | + | 0.631205i | \(0.217439\pi\) | |||||||
\(224\) | 0.0587331 | − | 2.64510i | 0.00392427 | − | 0.176733i | ||||
\(225\) | 15.0467 | + | 15.9243i | 1.00311 | + | 1.06162i | ||||
\(226\) | −10.0546 | − | 17.4151i | −0.668823 | − | 1.15844i | ||||
\(227\) | 0.975509 | + | 1.68963i | 0.0647468 | + | 0.112145i | 0.896582 | − | 0.442878i | \(-0.146043\pi\) |
−0.831835 | + | 0.555023i | \(0.812709\pi\) | |||||||
\(228\) | −4.56312 | + | 10.5895i | −0.302200 | + | 0.701308i | ||||
\(229\) | −10.1017 | + | 5.83221i | −0.667538 | + | 0.385403i | −0.795143 | − | 0.606422i | \(-0.792604\pi\) |
0.127605 | + | 0.991825i | \(0.459271\pi\) | |||||||
\(230\) | −2.25526 | + | 3.90622i | −0.148707 | + | 0.257569i | ||||
\(231\) | −16.1489 | + | 1.53117i | −1.06252 | + | 0.100744i | ||||
\(232\) | 3.29739 | + | 5.71124i | 0.216484 | + | 0.374962i | ||||
\(233\) | 11.6531 | − | 6.72790i | 0.763418 | − | 0.440759i | −0.0671038 | − | 0.997746i | \(-0.521376\pi\) |
0.830521 | + | 0.556987i | \(0.188043\pi\) | |||||||
\(234\) | 7.18072 | − | 8.08933i | 0.469418 | − | 0.528816i | ||||
\(235\) | −0.204375 | + | 0.353988i | −0.0133320 | + | 0.0230916i | ||||
\(236\) | −2.84121 | + | 4.92113i | −0.184947 | + | 0.320338i | ||||
\(237\) | 8.38465 | + | 3.61302i | 0.544641 | + | 0.234691i | ||||
\(238\) | −8.94782 | − | 5.43437i | −0.580001 | − | 0.352258i | ||||
\(239\) | − | 4.27464i | − | 0.276504i | −0.990397 | − | 0.138252i | \(-0.955852\pi\) | ||
0.990397 | − | 0.138252i | \(-0.0441483\pi\) | |||||||
\(240\) | −4.87172 | + | 3.62973i | −0.314468 | + | 0.234298i | ||||
\(241\) | −12.5372 | + | 7.23838i | −0.807595 | + | 0.466265i | −0.846120 | − | 0.532993i | \(-0.821067\pi\) |
0.0385251 | + | 0.999258i | \(0.487734\pi\) | |||||||
\(242\) | 1.32510 | + | 0.765044i | 0.0851804 | + | 0.0491789i | ||||
\(243\) | 15.5603 | − | 0.935859i | 0.998196 | − | 0.0600354i | ||||
\(244\) | −9.51703 | + | 5.49466i | −0.609265 | + | 0.351759i | ||||
\(245\) | −13.2081 | + | 20.6975i | −0.843836 | + | 1.32231i | ||||
\(246\) | −5.88242 | − | 7.89522i | −0.375050 | − | 0.503381i | ||||
\(247\) | 2.10393 | + | 23.9110i | 0.133870 | + | 1.52142i | ||||
\(248\) | −4.69971 | + | 8.14013i | −0.298432 | + | 0.516899i | ||||
\(249\) | −2.82029 | + | 2.10129i | −0.178729 | + | 0.133164i | ||||
\(250\) | −6.99523 | − | 4.03870i | −0.442417 | − | 0.255430i | ||||
\(251\) | −0.147269 | + | 0.255078i | −0.00929556 | + | 0.0161004i | −0.870636 | − | 0.491928i | \(-0.836292\pi\) |
0.861340 | + | 0.508029i | \(0.169626\pi\) | |||||||
\(252\) | 2.43895 | − | 7.55325i | 0.153639 | − | 0.475810i | ||||
\(253\) | −2.27599 | + | 3.94213i | −0.143090 | + | 0.247840i | ||||
\(254\) | − | 3.37329i | − | 0.211659i | ||||||
\(255\) | 2.79977 | + | 23.8751i | 0.175328 | + | 1.49512i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 5.59938 | − | 9.69842i | 0.349280 | − | 0.604971i | −0.636842 | − | 0.770995i | \(-0.719760\pi\) |
0.986122 | + | 0.166024i | \(0.0530929\pi\) | |||||||
\(258\) | −3.82858 | + | 8.88490i | −0.238357 | + | 0.553150i | ||||
\(259\) | 13.4503 | + | 24.5390i | 0.835759 | + | 1.52478i | ||||
\(260\) | −5.33899 | + | 11.4644i | −0.331110 | + | 0.710992i | ||||
\(261\) | 4.57716 | + | 19.2476i | 0.283319 | + | 1.19140i | ||||
\(262\) | 7.27191i | 0.449260i | ||||||||
\(263\) | − | 4.16185i | − | 0.256631i | −0.991733 | − | 0.128315i | \(-0.959043\pi\) | ||
0.991733 | − | 0.128315i | \(-0.0409570\pi\) | |||||||
\(264\) | −4.91650 | + | 3.66310i | −0.302590 | + | 0.225448i | ||||
\(265\) | 27.1730i | 1.66923i | ||||||||
\(266\) | 8.46603 | + | 15.4456i | 0.519085 | + | 0.947030i | ||||
\(267\) | −0.0715318 | − | 0.609990i | −0.00437768 | − | 0.0373308i | ||||
\(268\) | 3.84167 | + | 6.65397i | 0.234667 | + | 0.406456i | ||||
\(269\) | −12.1358 | − | 21.0198i | −0.739930 | − | 1.28160i | −0.952526 | − | 0.304457i | \(-0.901525\pi\) |
0.212596 | − | 0.977140i | \(-0.431808\pi\) | |||||||
\(270\) | −17.1195 | + | 6.25302i | −1.04186 | + | 0.380547i | ||||
\(271\) | 10.7289 | + | 6.19435i | 0.651736 | + | 0.376280i | 0.789121 | − | 0.614238i | \(-0.210536\pi\) |
−0.137385 | + | 0.990518i | \(0.543870\pi\) | |||||||
\(272\) | −3.95683 | −0.239918 | ||||||||
\(273\) | −2.99539 | − | 16.2489i | −0.181289 | − | 0.983430i | ||||
\(274\) | 7.42778 | 0.448728 | ||||||||
\(275\) | −22.3873 | − | 12.9253i | −1.35000 | − | 0.779424i | ||||
\(276\) | −1.33074 | − | 1.78609i | −0.0801014 | − | 0.107510i | ||||
\(277\) | 5.14794 | + | 8.91649i | 0.309310 | + | 0.535740i | 0.978212 | − | 0.207611i | \(-0.0665688\pi\) |
−0.668902 | + | 0.743351i | \(0.733235\pi\) | |||||||
\(278\) | 2.05211 | + | 3.55436i | 0.123077 | + | 0.213176i | ||||
\(279\) | −20.4960 | + | 19.3663i | −1.22706 | + | 1.15943i | ||||
\(280\) | −0.206009 | + | 9.27780i | −0.0123114 | + | 0.554455i | ||||
\(281\) | 6.21604i | 0.370818i | 0.982661 | + | 0.185409i | \(0.0593610\pi\) | ||||
−0.982661 | + | 0.185409i | \(0.940639\pi\) | |||||||
\(282\) | −0.120594 | − | 0.161858i | −0.00718127 | − | 0.00963850i | ||||
\(283\) | − | 13.4407i | − | 0.798967i | −0.916740 | − | 0.399484i | \(-0.869189\pi\) | ||
0.916740 | − | 0.399484i | \(-0.130811\pi\) | |||||||
\(284\) | − | 9.44880i | − | 0.560683i | ||||||
\(285\) | 16.0053 | − | 37.1432i | 0.948074 | − | 2.20017i | ||||
\(286\) | −5.38807 | + | 11.5698i | −0.318603 | + | 0.684136i | ||||
\(287\) | −15.0358 | − | 0.333863i | −0.887536 | − | 0.0197073i | ||||
\(288\) | −0.694059 | − | 2.91861i | −0.0408978 | − | 0.171981i | ||||
\(289\) | 0.671728 | − | 1.16347i | 0.0395134 | − | 0.0684393i | ||||
\(290\) | −11.5657 | − | 20.0324i | −0.679163 | − | 1.17635i | ||||
\(291\) | 1.00805 | − | 0.118212i | 0.0590932 | − | 0.00692969i | ||||
\(292\) | 4.31209i | 0.252346i | ||||||||
\(293\) | 6.36341 | − | 11.0218i | 0.371755 | − | 0.643898i | −0.618081 | − | 0.786114i | \(-0.712090\pi\) |
0.989836 | + | 0.142217i | \(0.0454230\pi\) | |||||||
\(294\) | −6.80515 | − | 10.0344i | −0.396885 | − | 0.585220i | ||||
\(295\) | 9.96568 | − | 17.2611i | 0.580224 | − | 1.00498i | ||||
\(296\) | 9.15972 | + | 5.28837i | 0.532398 | + | 0.307380i | ||||
\(297\) | −17.2769 | + | 6.31050i | −1.00251 | + | 0.366173i | ||||
\(298\) | 1.27648 | − | 2.21093i | 0.0739445 | − | 0.128076i | ||||
\(299\) | −4.20312 | − | 1.95740i | −0.243072 | − | 0.113199i | ||||
\(300\) | 10.1431 | − | 7.55726i | 0.585614 | − | 0.436319i | ||||
\(301\) | 7.10323 | + | 12.9593i | 0.409423 | + | 0.746961i | ||||
\(302\) | −8.48249 | + | 4.89737i | −0.488113 | + | 0.281812i | ||||
\(303\) | −5.45009 | + | 4.06065i | −0.313100 | + | 0.233278i | ||||
\(304\) | 5.76542 | + | 3.32866i | 0.330669 | + | 0.190912i | ||||
\(305\) | 33.3814 | − | 19.2728i | 1.91141 | − | 1.10355i | ||||
\(306\) | −11.3744 | − | 3.39588i | −0.650231 | − | 0.194130i | ||||
\(307\) | − | 25.8938i | − | 1.47784i | −0.673796 | − | 0.738918i | \(-0.735337\pi\) | ||
0.673796 | − | 0.738918i | \(-0.264663\pi\) | |||||||
\(308\) | −0.207903 | + | 9.36309i | −0.0118464 | + | 0.533511i | ||||
\(309\) | 7.98166 | − | 18.5229i | 0.454061 | − | 1.05373i | ||||
\(310\) | 16.4844 | − | 28.5519i | 0.936253 | − | 1.62164i | ||||
\(311\) | −2.45036 | + | 4.24415i | −0.138947 | + | 0.240664i | −0.927098 | − | 0.374818i | \(-0.877705\pi\) |
0.788151 | + | 0.615482i | \(0.211038\pi\) | |||||||
\(312\) | −4.15574 | − | 4.66153i | −0.235272 | − | 0.263907i | ||||
\(313\) | −18.2027 | + | 10.5093i | −1.02888 | + | 0.594022i | −0.916662 | − | 0.399663i | \(-0.869127\pi\) |
−0.112213 | + | 0.993684i | \(0.535794\pi\) | |||||||
\(314\) | 6.55373 | + | 11.3514i | 0.369849 | + | 0.640596i | ||||
\(315\) | −8.55471 | + | 26.4933i | −0.482003 | + | 1.49273i | ||||
\(316\) | 2.63559 | − | 4.56498i | 0.148264 | − | 0.256800i | ||||
\(317\) | −12.9313 | + | 7.46591i | −0.726296 | + | 0.419327i | −0.817066 | − | 0.576545i | \(-0.804401\pi\) |
0.0907693 | + | 0.995872i | \(0.471067\pi\) | |||||||
\(318\) | −12.3229 | − | 5.31003i | −0.691031 | − | 0.297771i | ||||
\(319\) | −11.6721 | − | 20.2166i | −0.653509 | − | 1.13191i | ||||
\(320\) | 1.75377 | + | 3.03762i | 0.0980388 | + | 0.169808i | ||||
\(321\) | 12.4359 | − | 1.45833i | 0.694107 | − | 0.0813960i | ||||
\(322\) | −3.40146 | − | 0.0755278i | −0.189556 | − | 0.00420900i | ||||
\(323\) | 22.8128 | − | 13.1710i | 1.26934 | − | 0.732853i | ||||
\(324\) | 0.509690 | − | 8.98556i | 0.0283161 | − | 0.499198i | ||||
\(325\) | 11.1160 | − | 23.8694i | 0.616606 | − | 1.32404i | ||||
\(326\) | −12.5024 | − | 7.21828i | −0.692446 | − | 0.399784i | ||||
\(327\) | 0.976701 | + | 8.32885i | 0.0540117 | + | 0.460587i | ||||
\(328\) | −4.92284 | + | 2.84220i | −0.271818 | + | 0.156934i | ||||
\(329\) | −0.308245 | − | 0.00684444i | −0.0169941 | − | 0.000377346i | ||||
\(330\) | 17.2448 | − | 12.8485i | 0.949298 | − | 0.707285i | ||||
\(331\) | 1.02485 | 0.0563309 | 0.0281655 | − | 0.999603i | \(-0.491033\pi\) | ||||
0.0281655 | + | 0.999603i | \(0.491033\pi\) | |||||||
\(332\) | 1.01528 | + | 1.75851i | 0.0557206 | + | 0.0965109i | ||||
\(333\) | 21.7921 | + | 23.0632i | 1.19420 | + | 1.26386i | ||||
\(334\) | 17.6919i | 0.968059i | ||||||||
\(335\) | −13.4748 | − | 23.3391i | −0.736208 | − | 1.27515i | ||||
\(336\) | −4.16719 | − | 1.90645i | −0.227339 | − | 0.104005i | ||||
\(337\) | 20.0548 | 1.09245 | 0.546226 | − | 0.837638i | \(-0.316064\pi\) | ||||
0.546226 | + | 0.837638i | \(0.316064\pi\) | |||||||
\(338\) | −12.2204 | − | 4.43410i | −0.664703 | − | 0.241183i | ||||
\(339\) | −34.5932 | + | 4.05664i | −1.87884 | + | 0.220327i | ||||
\(340\) | 13.8788 | 0.752682 | ||||||||
\(341\) | 16.6360 | − | 28.8143i | 0.900888 | − | 1.56038i | ||||
\(342\) | 13.7166 | + | 14.5167i | 0.741709 | + | 0.784974i | ||||
\(343\) | −18.4792 | − | 1.23259i | −0.997783 | − | 0.0665534i | ||||
\(344\) | 4.83734 | + | 2.79284i | 0.260812 | + | 0.150580i | ||||
\(345\) | 4.66764 | + | 6.26478i | 0.251297 | + | 0.337284i | ||||
\(346\) | 4.94555 | + | 2.85532i | 0.265875 | + | 0.153503i | ||||
\(347\) | 21.6096 | − | 12.4763i | 1.16006 | − | 0.669763i | 0.208744 | − | 0.977970i | \(-0.433063\pi\) |
0.951319 | + | 0.308208i | \(0.0997292\pi\) | |||||||
\(348\) | 11.3448 | − | 1.33037i | 0.608143 | − | 0.0713152i | ||||
\(349\) | 7.17962 | − | 4.14516i | 0.384316 | − | 0.221885i | −0.295378 | − | 0.955380i | \(-0.595446\pi\) |
0.679695 | + | 0.733495i | \(0.262112\pi\) | |||||||
\(350\) | 0.428920 | − | 19.3168i | 0.0229267 | − | 1.03253i | ||||
\(351\) | −7.94548 | − | 16.9667i | −0.424099 | − | 0.905616i | ||||
\(352\) | 1.76989 | + | 3.06555i | 0.0943356 | + | 0.163394i | ||||
\(353\) | −34.6377 | −1.84358 | −0.921789 | − | 0.387691i | \(-0.873273\pi\) | ||||
−0.921789 | + | 0.387691i | \(0.873273\pi\) | |||||||
\(354\) | 5.88037 | + | 7.89247i | 0.312538 | + | 0.419480i | ||||
\(355\) | 33.1421i | 1.75900i | ||||||||
\(356\) | −0.354591 | −0.0187933 | ||||||||
\(357\) | −14.7773 | + | 10.5080i | −0.782098 | + | 0.556144i | ||||
\(358\) | −7.65395 | + | 13.2570i | −0.404524 | + | 0.700656i | ||||
\(359\) | 5.14944 | − | 2.97303i | 0.271777 | − | 0.156910i | −0.357918 | − | 0.933753i | \(-0.616513\pi\) |
0.629695 | + | 0.776843i | \(0.283180\pi\) | |||||||
\(360\) | 2.43444 | + | 10.2372i | 0.128306 | + | 0.539545i | ||||
\(361\) | −25.3200 | −1.33263 | ||||||||
\(362\) | −8.24205 | + | 14.2756i | −0.433192 | + | 0.750311i | ||||
\(363\) | 2.12518 | − | 1.58339i | 0.111543 | − | 0.0831064i | ||||
\(364\) | −9.51890 | + | 0.624985i | −0.498926 | + | 0.0327581i | ||||
\(365\) | − | 15.1249i | − | 0.791671i | ||||||
\(366\) | 2.21688 | + | 18.9045i | 0.115878 | + | 0.988155i | ||||
\(367\) | 23.5380i | 1.22867i | 0.789044 | + | 0.614336i | \(0.210576\pi\) | ||||
−0.789044 | + | 0.614336i | \(0.789424\pi\) | |||||||
\(368\) | −1.11366 | + | 0.642974i | −0.0580537 | + | 0.0335173i | ||||
\(369\) | −16.5906 | + | 3.94531i | −0.863670 | + | 0.205385i | ||||
\(370\) | −32.1281 | − | 18.5492i | −1.67026 | − | 0.964326i | ||||
\(371\) | −17.9738 | + | 9.85178i | −0.933153 | + | 0.511479i | ||||
\(372\) | 9.72684 | + | 13.0551i | 0.504313 | + | 0.676875i | ||||
\(373\) | 1.51382 | 0.0783824 | 0.0391912 | − | 0.999232i | \(-0.487522\pi\) | ||||
0.0391912 | + | 0.999232i | \(0.487522\pi\) | |||||||
\(374\) | 14.0064 | 0.724251 | ||||||||
\(375\) | −11.2189 | + | 8.35877i | −0.579342 | + | 0.431645i | ||||
\(376\) | −0.100922 | + | 0.0582673i | −0.00520465 | + | 0.00300491i | ||||
\(377\) | 19.4709 | − | 13.6481i | 1.00280 | − | 0.702912i | ||||
\(378\) | −10.3429 | − | 9.05673i | −0.531982 | − | 0.465828i | ||||
\(379\) | −12.9429 | − | 22.4178i | −0.664832 | − | 1.15152i | −0.979331 | − | 0.202265i | \(-0.935170\pi\) |
0.314499 | − | 0.949258i | \(-0.398163\pi\) | |||||||
\(380\) | −20.2224 | − | 11.6754i | −1.03739 | − | 0.598937i | ||||
\(381\) | −5.36575 | − | 2.31215i | −0.274896 | − | 0.118455i | ||||
\(382\) | −3.99733 | + | 6.92358i | −0.204521 | + | 0.354241i | ||||
\(383\) | −9.62313 | −0.491719 | −0.245859 | − | 0.969306i | \(-0.579070\pi\) | ||||
−0.245859 | + | 0.969306i | \(0.579070\pi\) | |||||||
\(384\) | −1.72026 | + | 0.201730i | −0.0877868 | + | 0.0102945i | ||||
\(385\) | 0.729228 | − | 32.8414i | 0.0371649 | − | 1.67375i | ||||
\(386\) | 13.8287 | + | 7.98403i | 0.703864 | + | 0.406376i | ||||
\(387\) | 11.5086 | + | 12.1799i | 0.585016 | + | 0.619140i | ||||
\(388\) | − | 0.585988i | − | 0.0297491i | ||||||
\(389\) | −17.2937 | − | 9.98452i | −0.876825 | − | 0.506235i | −0.00721490 | − | 0.999974i | \(-0.502297\pi\) |
−0.869610 | + | 0.493739i | \(0.835630\pi\) | |||||||
\(390\) | 14.5764 | + | 16.3505i | 0.738106 | + | 0.827941i | ||||
\(391\) | 5.08828i | 0.257326i | ||||||||
\(392\) | −6.21156 | + | 3.22747i | −0.313731 | + | 0.163012i | ||||
\(393\) | 11.5671 | + | 4.98437i | 0.583484 | + | 0.251428i | ||||
\(394\) | 26.7400 | 1.34714 | ||||||||
\(395\) | −9.24446 | + | 16.0119i | −0.465139 | + | 0.805645i | ||||
\(396\) | 2.45682 | + | 10.3313i | 0.123460 | + | 0.519165i | ||||
\(397\) | − | 15.0494i | − | 0.755306i | −0.925947 | − | 0.377653i | \(-0.876731\pi\) | ||
0.925947 | − | 0.377653i | \(-0.123269\pi\) | |||||||
\(398\) | 2.17392 | 0.108969 | ||||||||
\(399\) | 30.3715 | − | 2.87970i | 1.52048 | − | 0.144165i | ||||
\(400\) | −3.65143 | − | 6.32446i | −0.182572 | − | 0.316223i | ||||
\(401\) | 26.6844 | + | 15.4062i | 1.33256 | + | 0.769351i | 0.985691 | − | 0.168564i | \(-0.0539129\pi\) |
0.346865 | + | 0.937915i | \(0.387246\pi\) | |||||||
\(402\) | 13.2174 | − | 1.54996i | 0.659222 | − | 0.0773052i | ||||
\(403\) | 30.7220 | + | 14.3073i | 1.53037 | + | 0.712696i | ||||
\(404\) | 1.96198 | + | 3.39825i | 0.0976121 | + | 0.169069i | ||||
\(405\) | −1.78776 | + | 31.5172i | −0.0888346 | + | 1.56610i | ||||
\(406\) | 9.05736 | − | 14.9131i | 0.449509 | − | 0.740127i | ||||
\(407\) | −32.4234 | − | 18.7197i | −1.60717 | − | 0.927900i | ||||
\(408\) | −2.71212 | + | 6.29397i | −0.134270 | + | 0.311598i | ||||
\(409\) | 2.86894 | − | 1.65638i | 0.141860 | − | 0.0819028i | −0.427390 | − | 0.904067i | \(-0.640567\pi\) |
0.569250 | + | 0.822164i | \(0.307234\pi\) | |||||||
\(410\) | 17.2671 | − | 9.96915i | 0.852760 | − | 0.492341i | ||||
\(411\) | 5.09120 | − | 11.8150i | 0.251131 | − | 0.582793i | ||||
\(412\) | −10.0847 | − | 5.82239i | −0.496837 | − | 0.286849i | ||||
\(413\) | 15.0306 | + | 0.333747i | 0.739607 | + | 0.0164226i | ||||
\(414\) | −3.75318 | + | 0.892523i | −0.184459 | + | 0.0438651i | ||||
\(415\) | −3.56113 | − | 6.16806i | −0.174809 | − | 0.302778i | ||||
\(416\) | −2.95247 | + | 2.06953i | −0.144757 | + | 0.101467i | ||||
\(417\) | 7.06033 | − | 0.827946i | 0.345746 | − | 0.0405447i | ||||
\(418\) | −20.4083 | − | 11.7828i | −0.998204 | − | 0.576314i | ||||
\(419\) | 9.29999 | + | 16.1081i | 0.454334 | + | 0.786930i | 0.998650 | − | 0.0519505i | \(-0.0165438\pi\) |
−0.544315 | + | 0.838881i | \(0.683210\pi\) | |||||||
\(420\) | 14.6166 | + | 6.68695i | 0.713217 | + | 0.326290i | ||||
\(421\) | 0.699811 | 0.0341067 | 0.0170534 | − | 0.999855i | \(-0.494571\pi\) | ||||
0.0170534 | + | 0.999855i | \(0.494571\pi\) | |||||||
\(422\) | 5.27979i | 0.257016i | ||||||||
\(423\) | −0.340119 | + | 0.0808818i | −0.0165371 | + | 0.00393261i | ||||
\(424\) | −3.87351 | + | 6.70912i | −0.188114 | + | 0.325824i | ||||
\(425\) | −28.8962 | −1.40167 | ||||||||
\(426\) | −15.0298 | − | 6.47647i | −0.728196 | − | 0.313786i | ||||
\(427\) | 24.8508 | + | 15.0929i | 1.20261 | + | 0.730396i | ||||
\(428\) | − | 7.22910i | − | 0.349432i | ||||||
\(429\) | 14.7104 | + | 16.5008i | 0.710226 | + | 0.796667i | ||||
\(430\) | −16.9672 | − | 9.79601i | −0.818231 | − | 0.472406i | ||||
\(431\) | − | 17.3613i | − | 0.836264i | −0.908386 | − | 0.418132i | \(-0.862685\pi\) | ||
0.908386 | − | 0.418132i | \(-0.137315\pi\) | |||||||
\(432\) | −5.11823 | − | 0.896487i | −0.246251 | − | 0.0431323i | ||||
\(433\) | −23.7833 | − | 13.7313i | −1.14295 | − | 0.659884i | −0.195793 | − | 0.980645i | \(-0.562728\pi\) |
−0.947160 | + | 0.320761i | \(0.896061\pi\) | |||||||
\(434\) | 24.8624 | + | 0.552057i | 1.19343 | + | 0.0264996i | ||||
\(435\) | −39.7922 | + | 4.66632i | −1.90789 | + | 0.223733i | ||||
\(436\) | 4.84162 | 0.231871 | ||||||||
\(437\) | 4.28049 | − | 7.41402i | 0.204763 | − | 0.354661i | ||||
\(438\) | 6.85906 | + | 2.95563i | 0.327739 | + | 0.141225i | ||||
\(439\) | −10.4717 | − | 6.04586i | −0.499789 | − | 0.288553i | 0.228838 | − | 0.973465i | \(-0.426508\pi\) |
−0.728626 | + | 0.684911i | \(0.759841\pi\) | |||||||
\(440\) | −6.20798 | − | 10.7525i | −0.295954 | − | 0.512607i | ||||
\(441\) | −20.6258 | + | 3.94678i | −0.982180 | + | 0.187942i | ||||
\(442\) | 1.25049 | + | 14.2117i | 0.0594795 | + | 0.675980i | ||||
\(443\) | 8.19745 | − | 4.73280i | 0.389473 | − | 0.224862i | −0.292459 | − | 0.956278i | \(-0.594473\pi\) |
0.681932 | + | 0.731416i | \(0.261140\pi\) | |||||||
\(444\) | 14.6903 | − | 10.9452i | 0.697171 | − | 0.519435i | ||||
\(445\) | 1.24374 | 0.0589591 | ||||||||
\(446\) | −10.6354 | −0.503603 | ||||||||
\(447\) | −2.64189 | − | 3.54587i | −0.124957 | − | 0.167714i | ||||
\(448\) | −1.37341 | + | 2.26136i | −0.0648877 | + | 0.106839i | ||||
\(449\) | −1.05989 | − | 0.611927i | −0.0500193 | − | 0.0288786i | 0.474782 | − | 0.880104i | \(-0.342527\pi\) |
−0.524801 | + | 0.851225i | \(0.675860\pi\) | |||||||
\(450\) | −5.06862 | − | 21.3142i | −0.238937 | − | 1.00476i | ||||
\(451\) | 17.4258 | − | 10.0608i | 0.820549 | − | 0.473744i | ||||
\(452\) | 20.1092i | 0.945859i | ||||||||
\(453\) | 1.97590 | + | 16.8495i | 0.0928357 | + | 0.791660i | ||||
\(454\) | − | 1.95102i | − | 0.0915658i | ||||||
\(455\) | 33.3879 | − | 2.19216i | 1.56525 | − | 0.102770i | ||||
\(456\) | 9.24654 | − | 6.88924i | 0.433009 | − | 0.322618i | ||||
\(457\) | −3.06846 | + | 5.31473i | −0.143536 | + | 0.248613i | −0.928826 | − | 0.370516i | \(-0.879181\pi\) |
0.785289 | + | 0.619129i | \(0.212514\pi\) | |||||||
\(458\) | 11.6644 | 0.545042 | ||||||||
\(459\) | −13.1980 | + | 15.7651i | −0.616030 | + | 0.735853i | ||||
\(460\) | 3.90622 | − | 2.25526i | 0.182129 | − | 0.105152i | ||||
\(461\) | −12.7435 | + | 22.0723i | −0.593523 | + | 1.02801i | 0.400231 | + | 0.916414i | \(0.368930\pi\) |
−0.993754 | + | 0.111597i | \(0.964403\pi\) | |||||||
\(462\) | 14.7510 | + | 6.74842i | 0.686276 | + | 0.313965i | ||||
\(463\) | 15.6848 | 0.728937 | 0.364468 | − | 0.931216i | \(-0.381251\pi\) | ||||
0.364468 | + | 0.931216i | \(0.381251\pi\) | |||||||
\(464\) | − | 6.59478i | − | 0.306155i | ||||||
\(465\) | −34.1173 | − | 45.7913i | −1.58215 | − | 2.12352i | ||||
\(466\) | −13.4558 | −0.623328 | ||||||||
\(467\) | 13.1716 | + | 22.8139i | 0.609508 | + | 1.05570i | 0.991322 | + | 0.131460i | \(0.0419664\pi\) |
−0.381813 | + | 0.924239i | \(0.624700\pi\) | |||||||
\(468\) | −10.2634 | + | 3.41521i | −0.474424 | + | 0.157868i | ||||
\(469\) | 10.5524 | − | 17.3748i | 0.487265 | − | 0.802293i | ||||
\(470\) | 0.353988 | − | 0.204375i | 0.0163282 | − | 0.00942712i | ||||
\(471\) | 22.5483 | − | 2.64417i | 1.03897 | − | 0.121837i | ||||
\(472\) | 4.92113 | − | 2.84121i | 0.226513 | − | 0.130777i | ||||
\(473\) | −17.1232 | − | 9.88606i | −0.787324 | − | 0.454562i | ||||
\(474\) | −5.45481 | − | 7.32129i | −0.250548 | − | 0.336278i | ||||
\(475\) | 42.1040 | + | 24.3088i | 1.93187 | + | 1.11536i | ||||
\(476\) | 5.03185 | + | 9.18021i | 0.230634 | + | 0.420774i | ||||
\(477\) | −16.8929 | + | 15.9618i | −0.773471 | + | 0.730840i | ||||
\(478\) | −2.13732 | + | 3.70195i | −0.0977588 | + | 0.169323i | ||||
\(479\) | 38.7622 | 1.77109 | 0.885545 | − | 0.464553i | \(-0.153785\pi\) | ||||
0.885545 | + | 0.464553i | \(0.153785\pi\) | |||||||
\(480\) | 6.03390 | − | 0.707578i | 0.275408 | − | 0.0322964i | ||||
\(481\) | 16.0993 | − | 34.5700i | 0.734066 | − | 1.57626i | ||||
\(482\) | 14.4768 | 0.659398 | ||||||||
\(483\) | −2.45159 | + | 5.35879i | −0.111551 | + | 0.243833i | ||||
\(484\) | −0.765044 | − | 1.32510i | −0.0347747 | − | 0.0602316i | ||||
\(485\) | 2.05538i | 0.0933300i | ||||||||
\(486\) | −13.9436 | − | 6.96969i | −0.632494 | − | 0.316152i | ||||
\(487\) | 9.97678 | + | 17.2803i | 0.452091 | + | 0.783045i | 0.998516 | − | 0.0544634i | \(-0.0173448\pi\) |
−0.546425 | + | 0.837508i | \(0.684011\pi\) | |||||||
\(488\) | 10.9893 | 0.497463 | ||||||||
\(489\) | −20.0513 | + | 14.9395i | −0.906752 | + | 0.675586i | ||||
\(490\) | 21.7873 | − | 11.3205i | 0.984250 | − | 0.511407i | ||||
\(491\) | −4.36750 | + | 2.52158i | −0.197103 | + | 0.113797i | −0.595303 | − | 0.803501i | \(-0.702968\pi\) |
0.398201 | + | 0.917298i | \(0.369635\pi\) | |||||||
\(492\) | 1.14672 | + | 9.77867i | 0.0516980 | + | 0.440857i | ||||
\(493\) | −22.5985 | − | 13.0472i | −1.01778 | − | 0.587617i | ||||
\(494\) | 10.1334 | − | 21.7595i | 0.455924 | − | 0.979004i | ||||
\(495\) | −8.61740 | − | 36.2373i | −0.387323 | − | 1.62875i | ||||
\(496\) | 8.14013 | − | 4.69971i | 0.365503 | − | 0.211023i | ||||
\(497\) | −21.9221 | + | 12.0159i | −0.983339 | + | 0.538987i | ||||
\(498\) | 3.49309 | − | 0.409625i | 0.156529 | − | 0.0183557i | ||||
\(499\) | −18.5321 | − | 32.0985i | −0.829609 | − | 1.43693i | −0.898345 | − | 0.439290i | \(-0.855230\pi\) |
0.0687359 | − | 0.997635i | \(-0.478103\pi\) | |||||||
\(500\) | 4.03870 | + | 6.99523i | 0.180616 | + | 0.312836i | ||||
\(501\) | 28.1418 | + | 12.1265i | 1.25728 | + | 0.541774i | ||||
\(502\) | 0.255078 | − | 0.147269i | 0.0113847 | − | 0.00657296i | ||||
\(503\) | −12.8063 | + | 22.1812i | −0.571005 | + | 0.989010i | 0.425458 | + | 0.904978i | \(0.360113\pi\) |
−0.996463 | + | 0.0840317i | \(0.973220\pi\) | |||||||
\(504\) | −5.88881 | + | 5.32183i | −0.262309 | + | 0.237053i | ||||
\(505\) | −6.88173 | − | 11.9195i | −0.306233 | − | 0.530411i | ||||
\(506\) | 3.94213 | − | 2.27599i | 0.175249 | − | 0.101180i | ||||
\(507\) | −15.4294 | + | 16.3992i | −0.685242 | + | 0.728316i | ||||
\(508\) | −1.68665 | + | 2.92136i | −0.0748328 | + | 0.129614i | ||||
\(509\) | −4.97268 | + | 8.61293i | −0.220410 | + | 0.381762i | −0.954933 | − | 0.296823i | \(-0.904073\pi\) |
0.734522 | + | 0.678584i | \(0.237406\pi\) | |||||||
\(510\) | 9.51290 | − | 22.0764i | 0.421238 | − | 0.977558i | ||||
\(511\) | 10.0044 | − | 5.48363i | 0.442571 | − | 0.242581i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 32.4928 | − | 11.8683i | 1.43459 | − | 0.523996i | ||||
\(514\) | −9.69842 | + | 5.59938i | −0.427779 | + | 0.246978i | ||||
\(515\) | 35.3725 | + | 20.4223i | 1.55870 | + | 0.899914i | ||||
\(516\) | 7.75810 | − | 5.78026i | 0.341531 | − | 0.254462i | ||||
\(517\) | 0.357242 | − | 0.206254i | 0.0157115 | − | 0.00907103i | ||||
\(518\) | 0.621205 | − | 27.9765i | 0.0272942 | − | 1.22922i | ||||
\(519\) | 7.93165 | − | 5.90956i | 0.348161 | − | 0.259401i | ||||
\(520\) | 10.3559 | − | 7.25896i | 0.454136 | − | 0.318327i | ||||
\(521\) | −7.83412 | + | 13.5691i | −0.343219 | + | 0.594473i | −0.985029 | − | 0.172391i | \(-0.944851\pi\) |
0.641810 | + | 0.766864i | \(0.278184\pi\) | |||||||
\(522\) | 5.65985 | − | 18.9575i | 0.247725 | − | 0.829746i | ||||
\(523\) | −32.1956 | − | 18.5881i | −1.40781 | − | 0.812802i | −0.412638 | − | 0.910895i | \(-0.635392\pi\) |
−0.995177 | + | 0.0980929i | \(0.968726\pi\) | |||||||
\(524\) | 3.63596 | − | 6.29766i | 0.158837 | − | 0.275115i | ||||
\(525\) | −30.4324 | − | 13.9225i | −1.32818 | − | 0.607629i | ||||
\(526\) | −2.08093 | + | 3.60427i | −0.0907327 | + | 0.157154i | ||||
\(527\) | − | 37.1919i | − | 1.62011i | ||||||
\(528\) | 6.08936 | − | 0.714083i | 0.265006 | − | 0.0310765i | ||||
\(529\) | −10.6732 | − | 18.4865i | −0.464051 | − | 0.803760i | ||||
\(530\) | 13.5865 | − | 23.5325i | 0.590160 | − | 1.02219i | ||||
\(531\) | 16.5848 | − | 3.94394i | 0.719718 | − | 0.171152i | ||||
\(532\) | 0.391006 | − | 17.6093i | 0.0169523 | − | 0.763460i | ||||
\(533\) | 11.7640 | + | 16.7830i | 0.509557 | + | 0.726953i | ||||
\(534\) | −0.243047 | + | 0.564033i | −0.0105177 | + | 0.0244081i | ||||
\(535\) | 25.3564i | 1.09625i | ||||||||
\(536\) | − | 7.68334i | − | 0.331870i | ||||||
\(537\) | 15.8411 | + | 21.2615i | 0.683596 | + | 0.917503i | ||||
\(538\) | 24.2715i | 1.04642i | ||||||||
\(539\) | 21.9876 | − | 11.4245i | 0.947073 | − | 0.492090i | ||||
\(540\) | 17.9524 | + | 3.14447i | 0.772549 | + | 0.135316i | ||||
\(541\) | 2.98669 | + | 5.17310i | 0.128408 | + | 0.222409i | 0.923060 | − | 0.384656i | \(-0.125680\pi\) |
−0.794652 | + | 0.607065i | \(0.792347\pi\) | |||||||
\(542\) | −6.19435 | − | 10.7289i | −0.266070 | − | 0.460847i | ||||
\(543\) | 17.0583 | + | 22.8952i | 0.732043 | + | 0.982527i | ||||
\(544\) | 3.42672 | + | 1.97842i | 0.146919 | + | 0.0848240i | ||||
\(545\) | −16.9822 | −0.727437 | ||||||||
\(546\) | −5.53038 | + | 15.5697i | −0.236678 | + | 0.666321i | ||||
\(547\) | 3.17249 | 0.135646 | 0.0678230 | − | 0.997697i | \(-0.478395\pi\) | ||||
0.0678230 | + | 0.997697i | \(0.478395\pi\) | |||||||
\(548\) | −6.43264 | − | 3.71389i | −0.274789 | − | 0.158649i | ||||
\(549\) | 31.5901 | + | 9.43139i | 1.34823 | + | 0.402522i | ||||
\(550\) | 12.9253 | + | 22.3873i | 0.551136 | + | 0.954596i | ||||
\(551\) | 21.9518 | + | 38.0216i | 0.935178 | + | 1.61978i | ||||
\(552\) | 0.259415 | + | 2.21217i | 0.0110414 | + | 0.0941561i | ||||
\(553\) | −13.9428 | − | 0.309593i | −0.592909 | − | 0.0131652i | ||||
\(554\) | − | 10.2959i | − | 0.437430i | ||||||
\(555\) | −51.5269 | + | 38.3907i | −2.18719 | + | 1.62959i | ||||
\(556\) | − | 4.10422i | − | 0.174058i | ||||||
\(557\) | 9.32521i | 0.395122i | 0.980291 | + | 0.197561i | \(0.0633020\pi\) | ||||
−0.980291 | + | 0.197561i | \(0.936698\pi\) | |||||||
\(558\) | 27.4332 | − | 6.52375i | 1.16134 | − | 0.276172i | ||||
\(559\) | 8.50222 | − | 18.2568i | 0.359606 | − | 0.772180i | ||||
\(560\) | 4.81731 | − | 7.93181i | 0.203568 | − | 0.335180i | ||||
\(561\) | 9.60034 | − | 22.2793i | 0.405327 | − | 0.940633i | ||||
\(562\) | 3.10802 | − | 5.38325i | 0.131104 | − | 0.227079i | ||||
\(563\) | 11.2254 | + | 19.4430i | 0.473094 | + | 0.819423i | 0.999526 | − | 0.0307944i | \(-0.00980372\pi\) |
−0.526432 | + | 0.850217i | \(0.676470\pi\) | |||||||
\(564\) | 0.0235086 | + | 0.200470i | 0.000989889 | + | 0.00844131i | ||||
\(565\) | − | 70.5340i | − | 2.96739i | ||||||
\(566\) | −6.72035 | + | 11.6400i | −0.282478 | + | 0.489265i | ||||
\(567\) | −21.4955 | + | 10.2443i | −0.902725 | + | 0.430219i | ||||
\(568\) | −4.72440 | + | 8.18290i | −0.198231 | + | 0.343347i | ||||
\(569\) | 20.5990 | + | 11.8928i | 0.863554 | + | 0.498573i | 0.865201 | − | 0.501425i | \(-0.167191\pi\) |
−0.00164667 | + | 0.999999i | \(0.500524\pi\) | |||||||
\(570\) | −32.4326 | + | 24.1643i | −1.35845 | + | 1.01213i | ||||
\(571\) | 14.7275 | − | 25.5087i | 0.616326 | − | 1.06751i | −0.373825 | − | 0.927499i | \(-0.621954\pi\) |
0.990150 | − | 0.140008i | \(-0.0447128\pi\) | |||||||
\(572\) | 10.4511 | − | 7.32569i | 0.436982 | − | 0.306302i | ||||
\(573\) | 8.27316 | + | 11.1040i | 0.345616 | + | 0.463876i | ||||
\(574\) | 12.8545 | + | 7.80704i | 0.536535 | + | 0.325860i | ||||
\(575\) | −8.13293 | + | 4.69555i | −0.339167 | + | 0.195818i | ||||
\(576\) | −0.858232 | + | 2.87462i | −0.0357597 | + | 0.119776i | ||||
\(577\) | 26.6927 | + | 15.4110i | 1.11123 | + | 0.641570i | 0.939148 | − | 0.343513i | \(-0.111617\pi\) |
0.172083 | + | 0.985082i | \(0.444950\pi\) | |||||||
\(578\) | −1.16347 | + | 0.671728i | −0.0483939 | + | 0.0279402i | ||||
\(579\) | 22.1784 | − | 16.5243i | 0.921705 | − | 0.686727i | ||||
\(580\) | 23.1315i | 0.960482i | ||||||||
\(581\) | 2.78879 | − | 4.59181i | 0.115699 | − | 0.190500i | ||||
\(582\) | −0.932106 | − | 0.401653i | −0.0386371 | − | 0.0166490i | ||||
\(583\) | 13.7114 | − | 23.7488i | 0.567868 | − | 0.983577i | ||||
\(584\) | 2.15605 | − | 3.73438i | 0.0892178 | − | 0.154530i | ||||
\(585\) | 35.9992 | − | 11.9790i | 1.48838 | − | 0.495270i | ||||
\(586\) | −11.0218 | + | 6.36341i | −0.455304 | + | 0.262870i | ||||
\(587\) | 8.17657 | + | 14.1622i | 0.337483 | + | 0.584538i | 0.983959 | − | 0.178397i | \(-0.0570911\pi\) |
−0.646476 | + | 0.762935i | \(0.723758\pi\) | |||||||
\(588\) | 0.876218 | + | 12.0927i | 0.0361346 | + | 0.498693i | ||||
\(589\) | −31.2875 | + | 54.1915i | −1.28918 | + | 2.23292i | ||||
\(590\) | −17.2611 | + | 9.96568i | −0.710627 | + | 0.410281i | ||||
\(591\) | 18.3283 | − | 42.5341i | 0.753926 | − | 1.74962i | ||||
\(592\) | −5.28837 | − | 9.15972i | −0.217350 | − | 0.376462i | ||||
\(593\) | −16.4539 | − | 28.4990i | −0.675681 | − | 1.17031i | −0.976269 | − | 0.216560i | \(-0.930516\pi\) |
0.300588 | − | 0.953754i | \(-0.402817\pi\) | |||||||
\(594\) | 18.1175 | + | 3.17337i | 0.743368 | + | 0.130205i | ||||
\(595\) | −17.6494 | − | 32.2000i | −0.723556 | − | 1.32007i | ||||
\(596\) | −2.21093 | + | 1.27648i | −0.0905631 | + | 0.0522866i | ||||
\(597\) | 1.49007 | − | 3.45796i | 0.0609844 | − | 0.141525i | ||||
\(598\) | 2.66131 | + | 3.79672i | 0.108829 | + | 0.155259i | ||||
\(599\) | 6.08634 | + | 3.51395i | 0.248681 | + | 0.143576i | 0.619160 | − | 0.785265i | \(-0.287473\pi\) |
−0.370479 | + | 0.928841i | \(0.620807\pi\) | |||||||
\(600\) | −12.5628 | + | 1.47321i | −0.512876 | + | 0.0601435i | ||||
\(601\) | −5.83732 | + | 3.37018i | −0.238109 | + | 0.137473i | −0.614307 | − | 0.789067i | \(-0.710565\pi\) |
0.376198 | + | 0.926539i | \(0.377231\pi\) | |||||||
\(602\) | 0.328065 | − | 14.7747i | 0.0133709 | − | 0.602171i | ||||
\(603\) | 6.59409 | − | 22.0867i | 0.268532 | − | 0.899439i | ||||
\(604\) | 9.79474 | 0.398542 | ||||||||
\(605\) | 2.68343 | + | 4.64783i | 0.109097 | + | 0.188961i | ||||
\(606\) | 6.75024 | − | 0.791582i | 0.274210 | − | 0.0321558i | ||||
\(607\) | 4.54393i | 0.184432i | 0.995739 | + | 0.0922162i | \(0.0293951\pi\) | ||||
−0.995739 | + | 0.0922162i | \(0.970605\pi\) | |||||||
\(608\) | −3.32866 | − | 5.76542i | −0.134995 | − | 0.233818i | ||||
\(609\) | −17.5135 | − | 24.6290i | −0.709684 | − | 0.998019i | ||||
\(610\) | −38.5455 | −1.56066 | ||||||||
\(611\) | 0.241172 | + | 0.344064i | 0.00975676 | + | 0.0139193i | ||||
\(612\) | 8.15257 | + | 8.62812i | 0.329548 | + | 0.348771i | ||||
\(613\) | 8.90889 | 0.359827 | 0.179913 | − | 0.983682i | \(-0.442418\pi\) | ||||
0.179913 | + | 0.983682i | \(0.442418\pi\) | |||||||
\(614\) | −12.9469 | + | 22.4247i | −0.522494 | + | 0.904986i | ||||
\(615\) | −4.02216 | − | 34.2991i | −0.162189 | − | 1.38307i | ||||
\(616\) | 4.86159 | − | 8.00472i | 0.195879 | − | 0.322519i | ||||
\(617\) | −12.9991 | − | 7.50505i | −0.523325 | − | 0.302142i | 0.214969 | − | 0.976621i | \(-0.431035\pi\) |
−0.738294 | + | 0.674479i | \(0.764368\pi\) | |||||||
\(618\) | −16.1738 | + | 12.0504i | −0.650604 | + | 0.484740i | ||||
\(619\) | −7.24862 | − | 4.18499i | −0.291347 | − | 0.168209i | 0.347202 | − | 0.937790i | \(-0.387132\pi\) |
−0.638549 | + | 0.769581i | \(0.720465\pi\) | |||||||
\(620\) | −28.5519 | + | 16.4844i | −1.14667 | + | 0.662031i | ||||
\(621\) | −1.15284 | + | 6.58178i | −0.0462617 | + | 0.264118i | ||||
\(622\) | 4.24415 | − | 2.45036i | 0.170175 | − | 0.0982505i | ||||
\(623\) | 0.450928 | + | 0.822683i | 0.0180661 | + | 0.0329601i | ||||
\(624\) | 1.26821 | + | 6.11487i | 0.0507689 | + | 0.244791i | ||||
\(625\) | 4.09126 | + | 7.08626i | 0.163650 | + | 0.283450i | ||||
\(626\) | 21.0186 | 0.840073 | ||||||||
\(627\) | −32.7308 | + | 24.3864i | −1.30714 | + | 0.973900i | ||||
\(628\) | − | 13.1075i | − | 0.523045i | ||||||
\(629\) | −41.8504 | −1.66868 | ||||||||
\(630\) | 20.6553 | − | 18.6666i | 0.822925 | − | 0.743693i | ||||
\(631\) | 6.27126 | − | 10.8621i | 0.249655 | − | 0.432415i | −0.713775 | − | 0.700375i | \(-0.753016\pi\) |
0.963430 | + | 0.267960i | \(0.0863494\pi\) | |||||||
\(632\) | −4.56498 | + | 2.63559i | −0.181585 | + | 0.104838i | ||||
\(633\) | 8.39834 | + | 3.61892i | 0.333804 | + | 0.143839i | ||||
\(634\) | 14.9318 | 0.593019 | ||||||||
\(635\) | 5.91598 | − | 10.2468i | 0.234769 | − | 0.406631i | ||||
\(636\) | 8.01689 | + | 10.7600i | 0.317890 | + | 0.426663i | ||||
\(637\) | 13.5551 | + | 21.2899i | 0.537071 | + | 0.843537i | ||||
\(638\) | 23.3441i | 0.924202i | ||||||||
\(639\) | −20.6037 | + | 19.4681i | −0.815069 | + | 0.770146i | ||||
\(640\) | − | 3.50754i | − | 0.138648i | ||||||
\(641\) | −0.920157 | + | 0.531253i | −0.0363440 | + | 0.0209832i | −0.518062 | − | 0.855343i | \(-0.673346\pi\) |
0.481718 | + | 0.876326i | \(0.340013\pi\) | |||||||
\(642\) | −11.4990 | − | 4.95502i | −0.453830 | − | 0.195559i | ||||
\(643\) | −19.3910 | − | 11.1954i | −0.764708 | − | 0.441504i | 0.0662756 | − | 0.997801i | \(-0.478888\pi\) |
−0.830983 | + | 0.556297i | \(0.812222\pi\) | |||||||
\(644\) | 2.90799 | + | 1.76614i | 0.114591 | + | 0.0695956i | ||||
\(645\) | −27.2119 | + | 20.2745i | −1.07147 | + | 0.798308i | ||||
\(646\) | −26.3419 | −1.03641 | ||||||||
\(647\) | 8.38696 | 0.329725 | 0.164863 | − | 0.986317i | \(-0.447282\pi\) | ||||
0.164863 | + | 0.986317i | \(0.447282\pi\) | |||||||
\(648\) | −4.93418 | + | 7.52687i | −0.193833 | + | 0.295684i | ||||
\(649\) | −17.4197 | + | 10.0573i | −0.683784 | + | 0.394783i | ||||
\(650\) | −21.5614 | + | 15.1135i | −0.845710 | + | 0.592800i | ||||
\(651\) | 17.9195 | − | 39.1691i | 0.702321 | − | 1.53516i | ||||
\(652\) | 7.21828 | + | 12.5024i | 0.282690 | + | 0.489633i | ||||
\(653\) | −4.17251 | − | 2.40900i | −0.163283 | − | 0.0942715i | 0.416132 | − | 0.909304i | \(-0.363386\pi\) |
−0.579415 | + | 0.815033i | \(0.696719\pi\) | |||||||
\(654\) | 3.31858 | − | 7.70135i | 0.129767 | − | 0.301147i | ||||
\(655\) | −12.7533 | + | 22.0893i | −0.498312 | + | 0.863101i | ||||
\(656\) | 5.68441 | 0.221939 | ||||||||
\(657\) | 9.40278 | − | 8.88454i | 0.366837 | − | 0.346619i | ||||
\(658\) | 0.263526 | + | 0.160050i | 0.0102733 | + | 0.00623941i | ||||
\(659\) | −35.0181 | − | 20.2177i | −1.36411 | − | 0.787570i | −0.373943 | − | 0.927452i | \(-0.621995\pi\) |
−0.990168 | + | 0.139881i | \(0.955328\pi\) | |||||||
\(660\) | −21.3587 | + | 2.50468i | −0.831387 | + | 0.0974944i | ||||
\(661\) | 32.1486i | 1.25044i | 0.780450 | + | 0.625219i | \(0.214990\pi\) | ||||
−0.780450 | + | 0.625219i | \(0.785010\pi\) | |||||||
\(662\) | −0.887547 | − | 0.512426i | −0.0344955 | − | 0.0199160i | ||||
\(663\) | 23.4630 | + | 7.75198i | 0.911227 | + | 0.301062i | ||||
\(664\) | − | 2.03056i | − | 0.0788009i | ||||||
\(665\) | −1.37147 | + | 61.7654i | −0.0531833 | + | 2.39516i | ||||
\(666\) | −7.34087 | − | 30.8693i | −0.284453 | − | 1.19616i | ||||
\(667\) | −8.48054 | −0.328368 | ||||||||
\(668\) | 8.84596 | − | 15.3217i | 0.342261 | − | 0.592813i | ||||
\(669\) | −7.28983 | + | 16.9173i | −0.281841 | + | 0.654062i | ||||
\(670\) | 26.9497i | 1.04116i | ||||||||
\(671\) | −38.8998 | −1.50171 | ||||||||
\(672\) | 2.65567 | + | 3.73463i | 0.102445 | + | 0.144066i | ||||
\(673\) | −11.9937 | − | 20.7737i | −0.462323 | − | 0.800766i | 0.536754 | − | 0.843739i | \(-0.319650\pi\) |
−0.999076 | + | 0.0429727i | \(0.986317\pi\) | |||||||
\(674\) | −17.3679 | − | 10.0274i | −0.668988 | − | 0.386240i | ||||
\(675\) | −37.3778 | − | 6.54692i | −1.43867 | − | 0.251991i | ||||
\(676\) | 8.36615 | + | 9.95026i | 0.321775 | + | 0.382702i | ||||
\(677\) | 23.8364 | + | 41.2858i | 0.916107 | + | 1.58674i | 0.805272 | + | 0.592905i | \(0.202019\pi\) |
0.110835 | + | 0.993839i | \(0.464648\pi\) | |||||||
\(678\) | 31.9869 | + | 13.7834i | 1.22845 | + | 0.529349i | ||||
\(679\) | −1.35955 | + | 0.745193i | −0.0521746 | + | 0.0285979i | ||||
\(680\) | −12.0194 | − | 6.93939i | −0.460922 | − | 0.266113i | ||||
\(681\) | −3.10340 | − | 1.33728i | −0.118923 | − | 0.0512448i | ||||
\(682\) | −28.8143 | + | 16.6360i | −1.10336 | + | 0.637024i | ||||
\(683\) | −16.2285 | + | 9.36954i | −0.620967 | + | 0.358516i | −0.777246 | − | 0.629197i | \(-0.783384\pi\) |
0.156278 | + | 0.987713i | \(0.450050\pi\) | |||||||
\(684\) | −4.62058 | − | 19.4301i | −0.176672 | − | 0.742930i | ||||
\(685\) | 22.5628 | + | 13.0266i | 0.862079 | + | 0.497722i | ||||
\(686\) | 15.3872 | + | 10.3070i | 0.587485 | + | 0.393525i | ||||
\(687\) | 7.99511 | − | 18.5541i | 0.305033 | − | 0.707882i | ||||
\(688\) | −2.79284 | − | 4.83734i | −0.106476 | − | 0.184422i | ||||
\(689\) | 25.3211 | + | 11.7921i | 0.964658 | + | 0.449243i | ||||
\(690\) | −0.909909 | − | 7.75928i | −0.0346396 | − | 0.295391i | ||||
\(691\) | 23.5469 | + | 13.5948i | 0.895765 | + | 0.517170i | 0.875824 | − | 0.482631i | \(-0.160319\pi\) |
0.0199411 | + | 0.999801i | \(0.493652\pi\) | |||||||
\(692\) | −2.85532 | − | 4.94555i | −0.108543 | − | 0.188002i | ||||
\(693\) | 20.8451 | − | 18.8381i | 0.791841 | − | 0.715602i | ||||
\(694\) | −24.9526 | −0.947187 | ||||||||
\(695\) | 14.3957i | 0.546061i | ||||||||
\(696\) | −10.4900 | − | 4.52024i | −0.397623 | − | 0.171339i | ||||
\(697\) | 11.2461 | − | 19.4789i | 0.425977 | − | 0.737815i | ||||
\(698\) | −8.29031 | −0.313793 | ||||||||
\(699\) | −9.22298 | + | 21.4036i | −0.348845 | + | 0.809557i | ||||
\(700\) | −10.0299 | + | 16.5144i | −0.379093 | + | 0.624185i | ||||
\(701\) | 32.5254i | 1.22847i | 0.789124 | + | 0.614233i | \(0.210535\pi\) | ||||
−0.789124 | + | 0.614233i | \(0.789465\pi\) | |||||||
\(702\) | −1.60237 | + | 18.6663i | −0.0604774 | + | 0.704516i | ||||
\(703\) | 60.9792 | + | 35.2064i | 2.29988 | + | 1.32783i | ||||
\(704\) | − | 3.53979i | − | 0.133411i | ||||||
\(705\) | −0.0824573 | − | 0.703157i | −0.00310552 | − | 0.0264824i | ||||
\(706\) | 29.9971 | + | 17.3189i | 1.12896 | + | 0.651804i | ||||
\(707\) | 5.38922 | − | 8.87347i | 0.202683 | − | 0.333721i | ||||
\(708\) | −1.14632 | − | 9.77527i | −0.0430813 | − | 0.367377i | ||||
\(709\) | −22.9336 | −0.861291 | −0.430645 | − | 0.902521i | \(-0.641714\pi\) | ||||
−0.430645 | + | 0.902521i | \(0.641714\pi\) | |||||||
\(710\) | 16.5710 | − | 28.7019i | 0.621900 | − | 1.07716i | ||||
\(711\) | −15.3845 | + | 3.65851i | −0.576965 | + | 0.137205i | ||||
\(712\) | 0.307085 | + | 0.177296i | 0.0115085 | + | 0.00664443i | ||||
\(713\) | −6.04358 | − | 10.4678i | −0.226334 | − | 0.392022i | ||||
\(714\) | 18.0515 | − | 1.71157i | 0.675562 | − | 0.0640539i | ||||
\(715\) | −36.6577 | + | 25.6952i | −1.37092 | + | 0.960945i | ||||
\(716\) | 13.2570 | − | 7.65395i | 0.495438 | − | 0.286041i | ||||
\(717\) | 4.42355 | + | 5.93717i | 0.165201 | + | 0.221727i | ||||
\(718\) | −5.94606 | −0.221905 | ||||||||
\(719\) | −0.733573 | −0.0273577 | −0.0136788 | − | 0.999906i | \(-0.504354\pi\) | ||||
−0.0136788 | + | 0.999906i | \(0.504354\pi\) | |||||||
\(720\) | 3.01029 | − | 10.0829i | 0.112187 | − | 0.375766i | ||||
\(721\) | −0.683935 | + | 30.8016i | −0.0254711 | + | 1.14711i | ||||
\(722\) | 21.9278 | + | 12.6600i | 0.816067 | + | 0.471157i | ||||
\(723\) | 9.92278 | − | 23.0276i | 0.369032 | − | 0.856404i | ||||
\(724\) | 14.2756 | − | 8.24205i | 0.530550 | − | 0.306313i | ||||
\(725\) | − | 48.1608i | − | 1.78865i | ||||||
\(726\) | −2.63215 | + | 0.308665i | −0.0976884 | + | 0.0114556i | ||||
\(727\) | 45.5164i | 1.68811i | 0.536258 | + | 0.844054i | \(0.319837\pi\) | ||||
−0.536258 | + | 0.844054i | \(0.680163\pi\) | |||||||
\(728\) | 8.55610 | + | 4.21820i | 0.317110 | + | 0.156337i | ||||
\(729\) | −20.6437 | + | 17.4022i | −0.764582 | + | 0.644527i | ||||
\(730\) | −7.56243 | + | 13.0985i | −0.279898 | + | 0.484798i | ||||
\(731\) | −22.1016 | −0.817458 | ||||||||
\(732\) | 7.53238 | − | 17.4802i | 0.278405 | − | 0.646088i | ||||
\(733\) | 22.4581 | − | 12.9662i | 0.829508 | − | 0.478917i | −0.0241759 | − | 0.999708i | \(-0.507696\pi\) |
0.853684 | + | 0.520791i | \(0.174363\pi\) | |||||||
\(734\) | 11.7690 | − | 20.3845i | 0.434401 | − | 0.752405i | ||||
\(735\) | −3.07337 | − | 42.4155i | −0.113363 | − | 1.56452i | ||||
\(736\) | 1.28595 | 0.0474007 | ||||||||
\(737\) | 27.1974i | 1.00183i | ||||||||
\(738\) | 16.3405 | + | 4.87854i | 0.601502 | + | 0.179582i | ||||
\(739\) | −29.4441 | −1.08312 | −0.541559 | − | 0.840663i | \(-0.682166\pi\) | ||||
−0.541559 | + | 0.840663i | \(0.682166\pi\) | |||||||
\(740\) | 18.5492 | + | 32.1281i | 0.681881 | + | 1.18105i | ||||
\(741\) | −27.6661 | − | 31.0333i | −1.01634 | − | 1.14004i | ||||
\(742\) | 20.4916 | + | 0.455007i | 0.752272 | + | 0.0167038i | ||||
\(743\) | 23.1459 | − | 13.3633i | 0.849140 | − | 0.490251i | −0.0112203 | − | 0.999937i | \(-0.503572\pi\) |
0.860361 | + | 0.509686i | \(0.170238\pi\) | |||||||
\(744\) | −1.89615 | − | 16.1695i | −0.0695161 | − | 0.592801i | ||||
\(745\) | 7.75493 | − | 4.47731i | 0.284118 | − | 0.164036i | ||||
\(746\) | −1.31100 | − | 0.756908i | −0.0479992 | − | 0.0277124i | ||||
\(747\) | 1.74269 | − | 5.83708i | 0.0637616 | − | 0.213567i | ||||
\(748\) | −12.1299 | − | 7.00318i | −0.443511 | − | 0.256061i | ||||
\(749\) | −16.7722 | + | 9.19313i | −0.612841 | + | 0.335910i | ||||
\(750\) | 13.8952 | − | 1.62946i | 0.507382 | − | 0.0594993i | ||||
\(751\) | −13.5765 | + | 23.5152i | −0.495413 | + | 0.858081i | −0.999986 | − | 0.00528812i | \(-0.998317\pi\) |
0.504573 | + | 0.863369i | \(0.331650\pi\) | |||||||
\(752\) | 0.116535 | 0.00424958 | ||||||||
\(753\) | −0.0594174 | − | 0.506684i | −0.00216529 | − | 0.0184646i | ||||
\(754\) | −23.6863 | + | 2.08416i | −0.862604 | + | 0.0759006i | ||||
\(755\) | −34.3555 | −1.25032 | ||||||||
\(756\) | 4.42885 | + | 13.0148i | 0.161076 | + | 0.473344i | ||||
\(757\) | 9.16804 | + | 15.8795i | 0.333218 | + | 0.577151i | 0.983141 | − | 0.182849i | \(-0.0585321\pi\) |
−0.649923 | + | 0.760000i | \(0.725199\pi\) | |||||||
\(758\) | 25.8858i | 0.940214i | ||||||||
\(759\) | −0.918273 | − | 7.83060i | −0.0333312 | − | 0.284233i | ||||
\(760\) | 11.6754 | + | 20.2224i | 0.423513 | + | 0.733545i | ||||
\(761\) | −49.3861 | −1.79024 | −0.895122 | − | 0.445821i | \(-0.852912\pi\) | ||||
−0.895122 | + | 0.445821i | \(0.852912\pi\) | |||||||
\(762\) | 3.49080 | + | 4.68525i | 0.126458 | + | 0.169729i | ||||
\(763\) | −6.15701 | − | 11.2330i | −0.222899 | − | 0.406661i | ||||
\(764\) | 6.92358 | − | 3.99733i | 0.250486 | − | 0.144618i | ||||
\(765\) | −28.5955 | − | 30.2635i | −1.03387 | − | 1.09418i | ||||
\(766\) | 8.33387 | + | 4.81156i | 0.301115 | + | 0.173849i | ||||
\(767\) | −11.7599 | − | 16.7772i | −0.424627 | − | 0.605788i | ||||
\(768\) | 1.59066 | + | 0.685428i | 0.0573979 | + | 0.0247332i | ||||
\(769\) | −0.485650 | + | 0.280390i | −0.0175130 | + | 0.0101111i | −0.508731 | − | 0.860926i | \(-0.669885\pi\) |
0.491218 | + | 0.871037i | \(0.336552\pi\) | |||||||
\(770\) | −17.0522 | + | 28.0769i | −0.614520 | + | 1.01182i | ||||
\(771\) | 2.25913 | + | 19.2648i | 0.0813607 | + | 0.693806i | ||||
\(772\) | −7.98403 | − | 13.8287i | −0.287351 | − | 0.497707i | ||||
\(773\) | −15.6030 | − | 27.0252i | −0.561202 | − | 0.972030i | −0.997392 | − | 0.0721757i | \(-0.977006\pi\) |
0.436190 | − | 0.899855i | \(-0.356328\pi\) | |||||||
\(774\) | −3.87679 | − | 16.3024i | −0.139348 | − | 0.585979i | ||||
\(775\) | 59.4463 | − | 34.3213i | 2.13537 | − | 1.23286i | ||||
\(776\) | −0.292994 | + | 0.507481i | −0.0105179 | + | 0.0182175i | ||||
\(777\) | −44.0752 | − | 20.1640i | −1.58119 | − | 0.723379i | ||||
\(778\) | 9.98452 | + | 17.2937i | 0.357962 | + | 0.620009i | ||||
\(779\) | −32.7730 | + | 18.9215i | −1.17421 | + | 0.677932i | ||||
\(780\) | −4.44829 | − | 21.4482i | −0.159274 | − | 0.767968i | ||||
\(781\) | 16.7234 | − | 28.9657i | 0.598409 | − | 1.03648i | ||||
\(782\) | 2.54414 | − | 4.40658i | 0.0909783 | − | 0.157579i | ||||
\(783\) | −26.2754 | − | 21.9969i | −0.939007 | − | 0.786104i | ||||
\(784\) | 6.99310 | + | 0.310710i | 0.249754 | + | 0.0110968i | ||||
\(785\) | 45.9750i | 1.64092i | ||||||||
\(786\) | −7.52523 | − | 10.1001i | −0.268416 | − | 0.360260i | ||||
\(787\) | 5.10352 | − | 2.94652i | 0.181921 | − | 0.105032i | −0.406274 | − | 0.913751i | \(-0.633172\pi\) |
0.588195 | + | 0.808719i | \(0.299839\pi\) | |||||||
\(788\) | −23.1575 | − | 13.3700i | −0.824951 | − | 0.476286i | ||||
\(789\) | 4.30683 | + | 5.78051i | 0.153327 | + | 0.205792i | ||||
\(790\) | 16.0119 | − | 9.24446i | 0.569677 | − | 0.328903i | ||||
\(791\) | 46.6552 | − | 25.5726i | 1.65887 | − | 0.909258i | ||||
\(792\) | 3.03796 | − | 10.1755i | 0.107949 | − | 0.361572i | ||||
\(793\) | −3.47297 | − | 39.4700i | −0.123329 | − | 1.40162i | ||||
\(794\) | −7.52468 | + | 13.0331i | −0.267041 | + | 0.462528i | ||||
\(795\) | −28.1196 | − | 37.7413i | −0.997299 | − | 1.33855i | ||||
\(796\) | −1.88267 | − | 1.08696i | −0.0667295 | − | 0.0385263i | ||||
\(797\) | 24.1017 | − | 41.7453i | 0.853724 | − | 1.47869i | −0.0240989 | − | 0.999710i | \(-0.507672\pi\) |
0.877823 | − | 0.478984i | \(-0.158995\pi\) | |||||||
\(798\) | −27.7423 | − | 12.6919i | −0.982068 | − | 0.449287i | ||||
\(799\) | 0.230554 | − | 0.399331i | 0.00815641 | − | 0.0141273i | ||||
\(800\) | 7.30286i | 0.258195i | ||||||||
\(801\) | 0.730592 | + | 0.773208i | 0.0258142 | + | 0.0273199i | ||||
\(802\) | −15.4062 | − | 26.6844i | −0.544014 | − | 0.942259i | ||||
\(803\) | −7.63194 | + | 13.2189i | −0.269325 | + | 0.466485i | ||||
\(804\) | −12.2216 | − | 5.26638i | −0.431021 | − | 0.185731i | ||||
\(805\) | −10.1999 | − | 6.19481i | −0.359499 | − | 0.218338i | ||||
\(806\) | −19.4524 | − | 27.7514i | −0.685180 | − | 0.977503i | ||||
\(807\) | 38.6077 | + | 16.6364i | 1.35905 | + | 0.585628i | ||||
\(808\) | − | 3.92396i | − | 0.138044i | ||||||
\(809\) | − | 1.43782i | − | 0.0505510i | −0.999681 | − | 0.0252755i | \(-0.991954\pi\) | ||
0.999681 | − | 0.0252755i | \(-0.00804630\pi\) | |||||||
\(810\) | 17.3069 | − | 26.4008i | 0.608101 | − | 0.927631i | ||||
\(811\) | 25.7211i | 0.903192i | 0.892223 | + | 0.451596i | \(0.149145\pi\) | ||||
−0.892223 | + | 0.451596i | \(0.850855\pi\) | |||||||
\(812\) | −15.3005 | + | 8.38648i | −0.536941 | + | 0.294308i | ||||
\(813\) | −21.3118 | + | 2.49918i | −0.747439 | + | 0.0876500i | ||||
\(814\) | 18.7197 | + | 32.4234i | 0.656125 | + | 1.13644i | ||||
\(815\) | −25.3184 | − | 43.8528i | −0.886867 | − | 1.53610i | ||||
\(816\) | 5.49575 | − | 4.09467i | 0.192390 | − | 0.143342i | ||||
\(817\) | 32.2038 | + | 18.5929i | 1.12667 | + | 0.650482i | ||||
\(818\) | −3.31277 | −0.115828 | ||||||||
\(819\) | 20.9753 | + | 19.4688i | 0.732938 | + | 0.680296i | ||||
\(820\) | −19.9383 | −0.696276 | ||||||||
\(821\) | −5.32395 | − | 3.07378i | −0.185807 | − | 0.107276i | 0.404211 | − | 0.914666i | \(-0.367546\pi\) |
−0.590018 | + | 0.807390i | \(0.700879\pi\) | |||||||
\(822\) | −10.3166 | + | 7.68652i | −0.359834 | + | 0.268098i | ||||
\(823\) | −1.26766 | − | 2.19566i | −0.0441880 | − | 0.0765359i | 0.843085 | − | 0.537780i | \(-0.180737\pi\) |
−0.887274 | + | 0.461244i | \(0.847403\pi\) | |||||||
\(824\) | 5.82239 | + | 10.0847i | 0.202833 | + | 0.351317i | ||||
\(825\) | 44.4698 | − | 5.21485i | 1.54824 | − | 0.181558i | ||||
\(826\) | −12.8500 | − | 7.80432i | −0.447108 | − | 0.271547i | ||||
\(827\) | − | 19.0006i | − | 0.660717i | −0.943856 | − | 0.330359i | \(-0.892830\pi\) | ||
0.943856 | − | 0.330359i | \(-0.107170\pi\) | |||||||
\(828\) | 3.69661 | + | 1.10364i | 0.128466 | + | 0.0383542i | ||||
\(829\) | − | 16.9691i | − | 0.589361i | −0.955596 | − | 0.294681i | \(-0.904787\pi\) | ||
0.955596 | − | 0.294681i | \(-0.0952132\pi\) | |||||||
\(830\) | 7.12226i | 0.247217i | ||||||||
\(831\) | −16.3772 | − | 7.05708i | −0.568119 | − | 0.244807i | ||||
\(832\) | 3.59167 | − | 0.316032i | 0.124519 | − | 0.0109564i | ||||
\(833\) | 14.9000 | − | 23.3487i | 0.516254 | − | 0.808984i | ||||
\(834\) | −6.52840 | − | 2.81314i | −0.226060 | − | 0.0974112i | ||||
\(835\) | −31.0276 | + | 53.7414i | −1.07375 | + | 1.85980i | ||||
\(836\) | 11.7828 | + | 20.4083i | 0.407515 | + | 0.705837i | ||||
\(837\) | 8.42645 | − | 48.1084i | 0.291261 | − | 1.66287i | ||||
\(838\) | − | 18.6000i | − | 0.642526i | ||||||
\(839\) | −6.69259 | + | 11.5919i | −0.231054 | + | 0.400197i | −0.958119 | − | 0.286372i | \(-0.907551\pi\) |
0.727065 | + | 0.686569i | \(0.240884\pi\) | |||||||
\(840\) | −9.31486 | − | 13.0994i | −0.321393 | − | 0.451971i | ||||
\(841\) | 7.24554 | − | 12.5496i | 0.249846 | − | 0.432747i | ||||
\(842\) | −0.606054 | − | 0.349906i | −0.0208860 | − | 0.0120585i | ||||
\(843\) | −6.43258 | − | 8.63363i | −0.221550 | − | 0.297358i | ||||
\(844\) | 2.63990 | − | 4.57244i | 0.0908690 | − | 0.157390i | ||||
\(845\) | −29.3446 | − | 34.9010i | −1.00949 | − | 1.20063i | ||||
\(846\) | 0.334992 | + | 0.100014i | 0.0115173 | + | 0.00343854i | ||||
\(847\) | −2.10144 | + | 3.46008i | −0.0722065 | + | 0.118890i | ||||
\(848\) | 6.70912 | − | 3.87351i | 0.230392 | − | 0.133017i | ||||
\(849\) | 13.9089 | + | 18.6682i | 0.477353 | + | 0.640689i | ||||
\(850\) | 25.0249 | + | 14.4481i | 0.858346 | + | 0.495566i | ||||
\(851\) | −11.7789 | + | 6.80056i | −0.403776 | + | 0.233120i | ||||
\(852\) | 9.77795 | + | 13.1237i | 0.334987 | + | 0.449610i | ||||
\(853\) | 9.31358i | 0.318891i | 0.987207 | + | 0.159445i | \(0.0509706\pi\) | ||||
−0.987207 | + | 0.159445i | \(0.949029\pi\) | |||||||
\(854\) | −13.9750 | − | 25.4962i | −0.478213 | − | 0.872462i | ||||
\(855\) | 16.2069 | + | 68.1521i | 0.554263 | + | 2.33075i | ||||
\(856\) | −3.61455 | + | 6.26058i | −0.123543 | + | 0.213982i | ||||
\(857\) | −5.60469 | + | 9.70761i | −0.191453 | + | 0.331606i | −0.945732 | − | 0.324948i | \(-0.894653\pi\) |
0.754279 | + | 0.656554i | \(0.227986\pi\) | |||||||
\(858\) | −4.48918 | − | 21.6453i | −0.153258 | − | 0.738960i | ||||
\(859\) | −22.6022 | + | 13.0494i | −0.771177 | + | 0.445239i | −0.833294 | − | 0.552830i | \(-0.813548\pi\) |
0.0621172 | + | 0.998069i | \(0.480215\pi\) | |||||||
\(860\) | 9.79601 | + | 16.9672i | 0.334041 | + | 0.578576i | ||||
\(861\) | 21.2291 | − | 15.0959i | 0.723487 | − | 0.514466i | ||||
\(862\) | −8.68065 | + | 15.0353i | −0.295664 | + | 0.512105i | ||||
\(863\) | 26.4923 | − | 15.2954i | 0.901809 | − | 0.520660i | 0.0240226 | − | 0.999711i | \(-0.492353\pi\) |
0.877787 | + | 0.479051i | \(0.159019\pi\) | |||||||
\(864\) | 3.98428 | + | 3.33550i | 0.135548 | + | 0.113476i | ||||
\(865\) | 10.0151 | + | 17.3467i | 0.340525 | + | 0.589807i | ||||
\(866\) | 13.7313 | + | 23.7833i | 0.466609 | + | 0.808190i | ||||
\(867\) | 0.271016 | + | 2.31110i | 0.00920419 | + | 0.0784890i | ||||
\(868\) | −21.2554 | − | 12.9093i | −0.721456 | − | 0.438170i | ||||
\(869\) | 16.1591 | − | 9.32944i | 0.548159 | − | 0.316479i | ||||
\(870\) | 36.7942 | + | 15.8550i | 1.24744 | + | 0.537533i | ||||
\(871\) | −27.5961 | + | 2.42818i | −0.935057 | + | 0.0822757i | ||||
\(872\) | −4.19296 | − | 2.42081i | −0.141992 | − | 0.0819789i | ||||
\(873\) | −1.27778 | + | 1.20736i | −0.0432464 | + | 0.0408628i | ||||
\(874\) | −7.41402 | + | 4.28049i | −0.250783 | + | 0.144790i | ||||
\(875\) | 11.0936 | − | 18.2659i | 0.375032 | − | 0.617499i | ||||
\(876\) | −4.46231 | − | 5.98918i | −0.150767 | − | 0.202356i | ||||
\(877\) | −6.91746 | −0.233586 | −0.116793 | − | 0.993156i | \(-0.537261\pi\) | ||||
−0.116793 | + | 0.993156i | \(0.537261\pi\) | |||||||
\(878\) | 6.04586 | + | 10.4717i | 0.204038 | + | 0.353404i | ||||
\(879\) | 2.56739 | + | 21.8935i | 0.0865958 | + | 0.738449i | ||||
\(880\) | 12.4160i | 0.418542i | ||||||||
\(881\) | −4.74525 | − | 8.21901i | −0.159871 | − | 0.276905i | 0.774951 | − | 0.632022i | \(-0.217775\pi\) |
−0.934822 | + | 0.355116i | \(0.884441\pi\) | |||||||
\(882\) | 19.8358 | + | 6.89488i | 0.667908 | + | 0.232163i | ||||
\(883\) | 21.2743 | 0.715938 | 0.357969 | − | 0.933733i | \(-0.383469\pi\) | ||||
0.357969 | + | 0.933733i | \(0.383469\pi\) | |||||||
\(884\) | 6.02288 | − | 12.9329i | 0.202571 | − | 0.434981i | ||||
\(885\) | 4.02076 | + | 34.2872i | 0.135156 | + | 1.15255i | ||||
\(886\) | −9.46560 | −0.318003 | ||||||||
\(887\) | −11.8749 | + | 20.5679i | −0.398719 | + | 0.690601i | −0.993568 | − | 0.113236i | \(-0.963878\pi\) |
0.594849 | + | 0.803837i | \(0.297212\pi\) | |||||||
\(888\) | −18.1948 | + | 2.13365i | −0.610576 | + | 0.0716006i | ||||
\(889\) | 8.92269 | + | 0.198124i | 0.299257 | + | 0.00664487i | ||||
\(890\) | −1.07711 | − | 0.621872i | −0.0361049 | − | 0.0208452i | ||||
\(891\) | 17.4660 | − | 26.6435i | 0.585131 | − | 0.892592i | ||||
\(892\) | 9.21057 | + | 5.31772i | 0.308393 | + | 0.178051i | ||||
\(893\) | −0.671870 | + | 0.387904i | −0.0224833 | + | 0.0129807i | ||||
\(894\) | 0.515010 | + | 4.39176i | 0.0172245 | + | 0.146882i | ||||
\(895\) | −46.4996 | + | 26.8466i | −1.55431 | + | 0.897381i | ||||
\(896\) | 2.32009 | − | 1.27169i | 0.0775088 | − | 0.0424840i | ||||
\(897\) | 7.86340 | − | 1.63085i | 0.262551 | − | 0.0544525i | ||||
\(898\) | 0.611927 | + | 1.05989i | 0.0204203 | + | 0.0353690i | ||||
\(899\) | 61.9870 | 2.06738 | ||||||||
\(900\) | −6.26755 | + | 20.9930i | −0.208918 | + | 0.699765i | ||||
\(901\) | − | 30.6537i | − | 1.02122i | ||||||
\(902\) | −20.1216 | −0.669975 | ||||||||
\(903\) | −23.2766 | − | 10.6488i | −0.774596 | − | 0.354370i | ||||
\(904\) | 10.0546 | − | 17.4151i | 0.334412 | − | 0.579218i | ||||
\(905\) | −50.0724 | + | 28.9093i | −1.66446 | + | 0.960979i | ||||
\(906\) | 6.71359 | − | 15.5801i | 0.223044 | − | 0.517613i | ||||
\(907\) | 32.7231 | 1.08655 | 0.543276 | − | 0.839554i | \(-0.317184\pi\) | ||||
0.543276 | + | 0.839554i | \(0.317184\pi\) | |||||||
\(908\) | −0.975509 | + | 1.68963i | −0.0323734 | + | 0.0560724i | ||||
\(909\) | 3.36767 | − | 11.2799i | 0.111699 | − | 0.374130i | ||||
\(910\) | −30.0109 | − | 14.7955i | −0.994851 | − | 0.490466i | ||||
\(911\) | − | 48.1424i | − | 1.59503i | −0.603299 | − | 0.797515i | \(-0.706148\pi\) | ||
0.603299 | − | 0.797515i | \(-0.293852\pi\) | |||||||
\(912\) | −11.4524 | + | 1.34299i | −0.379225 | + | 0.0444707i | ||||
\(913\) | 7.18773i | 0.237879i | ||||||||
\(914\) | 5.31473 | − | 3.06846i | 0.175796 | − | 0.101496i | ||||
\(915\) | −26.4202 | + | 61.3127i | −0.873424 | + | 2.02693i | ||||
\(916\) | −10.1017 | − | 5.83221i | −0.333769 | − | 0.192702i | ||||
\(917\) | −19.2349 | − | 0.427102i | −0.635193 | − | 0.0141042i | ||||
\(918\) | 19.3124 | − | 7.05399i | 0.637403 | − | 0.232816i | ||||
\(919\) | 42.6158 | 1.40576 | 0.702882 | − | 0.711306i | \(-0.251896\pi\) | ||||
0.702882 | + | 0.711306i | \(0.251896\pi\) | |||||||
\(920\) | −4.51052 | −0.148707 | ||||||||
\(921\) | 26.7958 | + | 35.9645i | 0.882951 | + | 1.18507i | ||||
\(922\) | 22.0723 | − | 12.7435i | 0.726914 | − | 0.419684i | ||||
\(923\) | 30.8834 | + | 14.3824i | 1.01654 | + | 0.473404i | ||||
\(924\) | −9.40049 | − | 13.2198i | −0.309253 | − | 0.434899i | ||||
\(925\) | −38.6202 | − | 66.8922i | −1.26982 | − | 2.19940i | ||||
\(926\) | −13.5835 | − | 7.84242i | −0.446381 | − | 0.257718i | ||||
\(927\) | 8.08217 | + | 33.9866i | 0.265453 | + | 1.11627i | ||||
\(928\) | −3.29739 | + | 5.71124i | −0.108242 | + | 0.187481i | ||||
\(929\) | 44.1016 | 1.44693 | 0.723463 | − | 0.690363i | \(-0.242549\pi\) | ||||
0.723463 | + | 0.690363i | \(0.242549\pi\) | |||||||
\(930\) | 6.65082 | + | 56.7151i | 0.218089 | + | 1.85976i | ||||
\(931\) | −41.3524 | + | 21.4863i | −1.35527 | + | 0.704185i | ||||
\(932\) | 11.6531 | + | 6.72790i | 0.381709 | + | 0.220380i | ||||
\(933\) | −0.988624 | − | 8.43053i | −0.0323661 | − | 0.276003i | ||||
\(934\) | − | 26.3432i | − | 0.861975i | ||||||
\(935\) | 42.5460 | + | 24.5639i | 1.39140 | + | 0.803327i | ||||
\(936\) | 10.5959 | + | 2.17402i | 0.346339 | + | 0.0710601i | ||||
\(937\) | 30.8284i | 1.00712i | 0.863960 | + | 0.503560i | \(0.167977\pi\) | ||||
−0.863960 | + | 0.503560i | \(0.832023\pi\) | |||||||
\(938\) | −17.8260 | + | 9.77079i | −0.582041 | + | 0.319028i | ||||
\(939\) | 14.4068 | − | 33.4334i | 0.470147 | − | 1.09106i | ||||
\(940\) | −0.408750 | −0.0133320 | ||||||||
\(941\) | −8.81522 | + | 15.2684i | −0.287368 | + | 0.497736i | −0.973181 | − | 0.230042i | \(-0.926114\pi\) |
0.685813 | + | 0.727778i | \(0.259447\pi\) | |||||||
\(942\) | −20.8495 | − | 8.98422i | −0.679313 | − | 0.292722i | ||||
\(943\) | − | 7.30985i | − | 0.238041i | ||||||
\(944\) | −5.68243 | −0.184947 | ||||||||
\(945\) | −15.5344 | − | 45.6500i | −0.505334 | − | 1.48500i | ||||
\(946\) | 9.88606 | + | 17.1232i | 0.321424 | + | 0.556722i | ||||
\(947\) | 3.10131 | + | 1.79054i | 0.100779 | + | 0.0581847i | 0.549542 | − | 0.835466i | \(-0.314802\pi\) |
−0.448763 | + | 0.893651i | \(0.648135\pi\) | |||||||
\(948\) | 1.06336 | + | 9.06783i | 0.0345363 | + | 0.294509i | ||||
\(949\) | −14.0941 | − | 6.56363i | −0.457513 | − | 0.213065i | ||||
\(950\) | −24.3088 | − | 42.1040i | −0.788681 | − | 1.36604i | ||||
\(951\) | 10.2347 | − | 23.7514i | 0.331883 | − | 0.770192i | ||||
\(952\) | 0.232397 | − | 10.4662i | 0.00753204 | − | 0.339212i | ||||
\(953\) | −37.1462 | − | 21.4464i | −1.20328 | − | 0.694716i | −0.242000 | − | 0.970276i | \(-0.577803\pi\) |
−0.961284 | + | 0.275560i | \(0.911137\pi\) | |||||||
\(954\) | 22.6105 | − | 5.37689i | 0.732043 | − | 0.174083i | ||||
\(955\) | −24.2848 | + | 14.0208i | −0.785836 | + | 0.453703i | ||||
\(956\) | 3.70195 | − | 2.13732i | 0.119730 | − | 0.0691259i | ||||
\(957\) | 37.1325 | + | 16.0007i | 1.20032 | + | 0.517229i | ||||
\(958\) | −33.5691 | − | 19.3811i | −1.08457 | − | 0.626175i | ||||
\(959\) | −0.436257 | + | 19.6472i | −0.0140875 | + | 0.634441i | ||||
\(960\) | −5.57930 | − | 2.40417i | −0.180071 | − | 0.0775942i | ||||
\(961\) | 28.6745 | + | 49.6657i | 0.924984 | + | 1.60212i | ||||
\(962\) | −31.2274 | + | 21.8888i | −1.00681 | + | 0.705725i | ||||
\(963\) | −15.7635 | + | 14.8947i | −0.507971 | + | 0.479974i | ||||
\(964\) | −12.5372 | − | 7.23838i | −0.403797 | − | 0.233133i | ||||
\(965\) | 28.0043 | + | 48.5049i | 0.901491 | + | 1.56143i | ||||
\(966\) | 4.80253 | − | 3.41505i | 0.154519 | − | 0.109877i | ||||
\(967\) | 49.7801 | 1.60082 | 0.800411 | − | 0.599452i | \(-0.204615\pi\) | ||||
0.800411 | + | 0.599452i | \(0.204615\pi\) | |||||||
\(968\) | 1.53009i | 0.0491789i | ||||||||
\(969\) | −18.0555 | + | 41.9010i | −0.580026 | + | 1.34605i | ||||
\(970\) | 1.02769 | − | 1.78001i | 0.0329971 | − | 0.0571527i | ||||
\(971\) | 42.6716 | 1.36940 | 0.684698 | − | 0.728827i | \(-0.259934\pi\) | ||||
0.684698 | + | 0.728827i | \(0.259934\pi\) | |||||||
\(972\) | 8.59065 | + | 13.0077i | 0.275545 | + | 0.417223i | ||||
\(973\) | −9.52215 | + | 5.21927i | −0.305266 | + | 0.167322i | ||||
\(974\) | − | 19.9536i | − | 0.639354i | ||||||
\(975\) | 9.26155 | + | 44.6561i | 0.296607 | + | 1.43014i | ||||
\(976\) | −9.51703 | − | 5.49466i | −0.304633 | − | 0.175880i | ||||
\(977\) | − | 17.2634i | − | 0.552305i | −0.961114 | − | 0.276152i | \(-0.910941\pi\) | ||
0.961114 | − | 0.276152i | \(-0.0890594\pi\) | |||||||
\(978\) | 24.8347 | − | 2.91230i | 0.794126 | − | 0.0931249i | ||||
\(979\) | −1.08702 | − | 0.627589i | −0.0347412 | − | 0.0200578i | ||||
\(980\) | −24.5286 | − | 1.08983i | −0.783538 | − | 0.0348133i | ||||
\(981\) | −9.97556 | − | 10.5574i | −0.318495 | − | 0.337073i | ||||
\(982\) | 5.04316 | 0.160934 | ||||||||
\(983\) | −15.2048 | + | 26.3355i | −0.484957 | + | 0.839971i | −0.999851 | − | 0.0172834i | \(-0.994498\pi\) |
0.514893 | + | 0.857254i | \(0.327832\pi\) | |||||||
\(984\) | 3.89625 | − | 9.04194i | 0.124208 | − | 0.288246i | ||||
\(985\) | 81.2259 | + | 46.8958i | 2.58807 | + | 1.49422i | ||||
\(986\) | 13.0472 | + | 22.5985i | 0.415508 | + | 0.719681i | ||||
\(987\) | 0.435213 | − | 0.309477i | 0.0138530 | − | 0.00985075i | ||||
\(988\) | −19.6555 | + | 13.7775i | −0.625326 | + | 0.438322i | ||||
\(989\) | −6.22057 | + | 3.59145i | −0.197803 | + | 0.114201i | ||||
\(990\) | −10.6558 | + | 35.6911i | −0.338663 | + | 1.13434i | ||||
\(991\) | −7.53150 | −0.239246 | −0.119623 | − | 0.992819i | \(-0.538169\pi\) | ||||
−0.119623 | + | 0.992819i | \(0.538169\pi\) | |||||||
\(992\) | −9.39941 | −0.298432 | ||||||||
\(993\) | −1.42344 | + | 1.06055i | −0.0451716 | + | 0.0336556i | ||||
\(994\) | 24.9930 | + | 0.554958i | 0.792730 | + | 0.0176022i | ||||
\(995\) | 6.60355 | + | 3.81256i | 0.209347 | + | 0.120866i | ||||
\(996\) | −3.22992 | − | 1.39180i | −0.102344 | − | 0.0441009i | ||||
\(997\) | 13.7533 | − | 7.94047i | 0.435572 | − | 0.251477i | −0.266146 | − | 0.963933i | \(-0.585750\pi\) |
0.701717 | + | 0.712455i | \(0.252417\pi\) | |||||||
\(998\) | 37.0641i | 1.17324i | ||||||||
\(999\) | −54.1342 | − | 9.48190i | −1.71273 | − | 0.299994i |
(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 | 546.2.u.a.185.5 | ✓ | 76 | |
3.2 | odd | 2 | inner | 546.2.u.a.185.34 | yes | 76 | |
7.5 | odd | 6 | 546.2.bb.a.341.30 | yes | 76 | ||
13.9 | even | 3 | 546.2.bb.a.269.36 | yes | 76 | ||
21.5 | even | 6 | 546.2.bb.a.341.17 | yes | 76 | ||
39.35 | odd | 6 | 546.2.bb.a.269.11 | yes | 76 | ||
91.61 | odd | 6 | inner | 546.2.u.a.425.34 | yes | 76 | |
273.152 | even | 6 | inner | 546.2.u.a.425.5 | yes | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.u.a.185.5 | ✓ | 76 | 1.1 | even | 1 | trivial | |
546.2.u.a.185.34 | yes | 76 | 3.2 | odd | 2 | inner | |
546.2.u.a.425.5 | yes | 76 | 273.152 | even | 6 | inner | |
546.2.u.a.425.34 | yes | 76 | 91.61 | odd | 6 | inner | |
546.2.bb.a.269.11 | yes | 76 | 39.35 | odd | 6 | ||
546.2.bb.a.269.36 | yes | 76 | 13.9 | even | 3 | ||
546.2.bb.a.341.17 | yes | 76 | 21.5 | even | 6 | ||
546.2.bb.a.341.30 | yes | 76 | 7.5 | odd | 6 |