Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(169,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.169");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bh (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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 169.11 | ||
Character | \(\chi\) | \(=\) | 315.169 |
Dual form | 315.2.bh.c.274.11 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.03279 | − | 0.596282i | −0.730294 | − | 0.421635i | 0.0882360 | − | 0.996100i | \(-0.471877\pi\) |
−0.818530 | + | 0.574464i | \(0.805210\pi\) | |||||||
\(3\) | −0.463032 | + | 1.66901i | −0.267332 | + | 0.963605i | ||||
\(4\) | −0.288895 | − | 0.500381i | −0.144448 | − | 0.250191i | ||||
\(5\) | 1.52125 | − | 1.63884i | 0.680325 | − | 0.732911i | ||||
\(6\) | 1.47342 | − | 1.44764i | 0.601520 | − | 0.590998i | ||||
\(7\) | 0.866025 | + | 0.500000i | 0.327327 | + | 0.188982i | ||||
\(8\) | 3.07418i | 1.08689i | ||||||||
\(9\) | −2.57120 | − | 1.54561i | −0.857067 | − | 0.515204i | ||||
\(10\) | −2.54835 | + | 0.785481i | −0.805858 | + | 0.248391i | ||||
\(11\) | 2.02111 | − | 3.50067i | 0.609389 | − | 1.05549i | −0.381953 | − | 0.924182i | \(-0.624748\pi\) |
0.991341 | − | 0.131310i | \(-0.0419184\pi\) | |||||||
\(12\) | 0.968910 | − | 0.250477i | 0.279700 | − | 0.0723064i | ||||
\(13\) | −2.53546 | + | 1.46385i | −0.703210 | + | 0.405999i | −0.808542 | − | 0.588438i | \(-0.799743\pi\) |
0.105332 | + | 0.994437i | \(0.466410\pi\) | |||||||
\(14\) | −0.596282 | − | 1.03279i | −0.159363 | − | 0.276025i | ||||
\(15\) | 2.03085 | + | 3.29782i | 0.524363 | + | 0.851495i | ||||
\(16\) | 1.25529 | − | 2.17422i | 0.313822 | − | 0.543556i | ||||
\(17\) | − | 3.25867i | − | 0.790345i | −0.918607 | − | 0.395172i | \(-0.870685\pi\) | ||
0.918607 | − | 0.395172i | \(-0.129315\pi\) | |||||||
\(18\) | 1.73389 | + | 3.12946i | 0.408682 | + | 0.737620i | ||||
\(19\) | 3.90229 | 0.895246 | 0.447623 | − | 0.894222i | \(-0.352271\pi\) | ||||
0.447623 | + | 0.894222i | \(0.352271\pi\) | |||||||
\(20\) | −1.25953 | − | 0.287754i | −0.281639 | − | 0.0643437i | ||||
\(21\) | −1.23550 | + | 1.21389i | −0.269609 | + | 0.264893i | ||||
\(22\) | −4.17478 | + | 2.41031i | −0.890065 | + | 0.513879i | ||||
\(23\) | 7.50189 | − | 4.33122i | 1.56425 | − | 0.903121i | 0.567433 | − | 0.823420i | \(-0.307937\pi\) |
0.996819 | − | 0.0797013i | \(-0.0253966\pi\) | |||||||
\(24\) | −5.13084 | − | 1.42345i | −1.04733 | − | 0.290560i | ||||
\(25\) | −0.371578 | − | 4.98617i | −0.0743156 | − | 0.997235i | ||||
\(26\) | 3.49147 | 0.684733 | ||||||||
\(27\) | 3.77020 | − | 3.57570i | 0.725575 | − | 0.688143i | ||||
\(28\) | − | 0.577790i | − | 0.109192i | ||||||
\(29\) | 3.27941 | − | 5.68010i | 0.608971 | − | 1.05477i | −0.382439 | − | 0.923981i | \(-0.624916\pi\) |
0.991410 | − | 0.130788i | \(-0.0417507\pi\) | |||||||
\(30\) | −0.131010 | − | 4.61692i | −0.0239190 | − | 0.842931i | ||||
\(31\) | 1.72072 | + | 2.98038i | 0.309051 | + | 0.535291i | 0.978155 | − | 0.207877i | \(-0.0666554\pi\) |
−0.669104 | + | 0.743169i | \(0.733322\pi\) | |||||||
\(32\) | 2.73173 | − | 1.57717i | 0.482907 | − | 0.278807i | ||||
\(33\) | 4.90682 | + | 4.99419i | 0.854168 | + | 0.869376i | ||||
\(34\) | −1.94309 | + | 3.36553i | −0.333237 | + | 0.577184i | ||||
\(35\) | 2.13686 | − | 0.658649i | 0.361196 | − | 0.111332i | ||||
\(36\) | −0.0305878 | + | 1.73310i | −0.00509797 | + | 0.288850i | ||||
\(37\) | 4.39850i | 0.723108i | 0.932351 | + | 0.361554i | \(0.117754\pi\) | ||||
−0.932351 | + | 0.361554i | \(0.882246\pi\) | |||||||
\(38\) | −4.03025 | − | 2.32686i | −0.653792 | − | 0.377467i | ||||
\(39\) | −1.26918 | − | 4.90952i | −0.203232 | − | 0.786153i | ||||
\(40\) | 5.03808 | + | 4.67661i | 0.796591 | + | 0.739436i | ||||
\(41\) | 3.10915 | + | 5.38521i | 0.485568 | + | 0.841028i | 0.999862 | − | 0.0165856i | \(-0.00527959\pi\) |
−0.514295 | + | 0.857613i | \(0.671946\pi\) | |||||||
\(42\) | 1.99984 | − | 0.516986i | 0.308582 | − | 0.0797727i | ||||
\(43\) | −5.49353 | − | 3.17169i | −0.837756 | − | 0.483678i | 0.0187451 | − | 0.999824i | \(-0.494033\pi\) |
−0.856501 | + | 0.516146i | \(0.827366\pi\) | |||||||
\(44\) | −2.33556 | −0.352099 | ||||||||
\(45\) | −6.44446 | + | 1.86251i | −0.960683 | + | 0.277647i | ||||
\(46\) | −10.3305 | −1.52315 | ||||||||
\(47\) | −9.71907 | − | 5.61131i | −1.41767 | − | 0.818493i | −0.421578 | − | 0.906792i | \(-0.638524\pi\) |
−0.996094 | + | 0.0882989i | \(0.971857\pi\) | |||||||
\(48\) | 3.04757 | + | 3.10183i | 0.439878 | + | 0.447710i | ||||
\(49\) | 0.500000 | + | 0.866025i | 0.0714286 | + | 0.123718i | ||||
\(50\) | −2.58940 | + | 5.37124i | −0.366197 | + | 0.759608i | ||||
\(51\) | 5.43877 | + | 1.50887i | 0.761580 | + | 0.211284i | ||||
\(52\) | 1.46496 | + | 0.845798i | 0.203154 | + | 0.117291i | ||||
\(53\) | 2.38454i | 0.327542i | 0.986498 | + | 0.163771i | \(0.0523659\pi\) | ||||
−0.986498 | + | 0.163771i | \(0.947634\pi\) | |||||||
\(54\) | −6.02595 | + | 1.44485i | −0.820028 | + | 0.196619i | ||||
\(55\) | −2.66241 | − | 8.63768i | −0.358999 | − | 1.16470i | ||||
\(56\) | −1.53709 | + | 2.66232i | −0.205402 | + | 0.355767i | ||||
\(57\) | −1.80689 | + | 6.51296i | −0.239328 | + | 0.862663i | ||||
\(58\) | −6.77389 | + | 3.91091i | −0.889455 | + | 0.513527i | ||||
\(59\) | 0.624888 | + | 1.08234i | 0.0813535 | + | 0.140908i | 0.903832 | − | 0.427888i | \(-0.140742\pi\) |
−0.822478 | + | 0.568797i | \(0.807409\pi\) | |||||||
\(60\) | 1.06347 | − | 1.96892i | 0.137293 | − | 0.254187i | ||||
\(61\) | 2.49109 | − | 4.31469i | 0.318951 | − | 0.552440i | −0.661318 | − | 0.750105i | \(-0.730003\pi\) |
0.980270 | + | 0.197666i | \(0.0633360\pi\) | |||||||
\(62\) | − | 4.10414i | − | 0.521227i | ||||||
\(63\) | −1.45392 | − | 2.62414i | −0.183177 | − | 0.330611i | ||||
\(64\) | −8.78290 | −1.09786 | ||||||||
\(65\) | −1.45807 | + | 6.38209i | −0.180851 | + | 0.791601i | ||||
\(66\) | −2.08978 | − | 8.08380i | −0.257234 | − | 0.995047i | ||||
\(67\) | −8.47762 | + | 4.89455i | −1.03571 | + | 0.597965i | −0.918614 | − | 0.395156i | \(-0.870691\pi\) |
−0.117092 | + | 0.993121i | \(0.537357\pi\) | |||||||
\(68\) | −1.63058 | + | 0.941415i | −0.197737 | + | 0.114163i | ||||
\(69\) | 3.75524 | + | 14.5262i | 0.452077 | + | 1.74875i | ||||
\(70\) | −2.59967 | − | 0.593927i | −0.310720 | − | 0.0709878i | ||||
\(71\) | −9.24009 | −1.09660 | −0.548298 | − | 0.836283i | \(-0.684724\pi\) | ||||
−0.548298 | + | 0.836283i | \(0.684724\pi\) | |||||||
\(72\) | 4.75149 | − | 7.90434i | 0.559969 | − | 0.931535i | ||||
\(73\) | 13.1780i | 1.54237i | 0.636612 | + | 0.771184i | \(0.280335\pi\) | ||||
−0.636612 | + | 0.771184i | \(0.719665\pi\) | |||||||
\(74\) | 2.62274 | − | 4.54273i | 0.304888 | − | 0.528081i | ||||
\(75\) | 8.49404 | + | 1.68859i | 0.980807 | + | 0.194982i | ||||
\(76\) | −1.12735 | − | 1.95263i | −0.129316 | − | 0.223982i | ||||
\(77\) | 3.50067 | − | 2.02111i | 0.398938 | − | 0.230327i | ||||
\(78\) | −1.61666 | + | 5.82730i | −0.183051 | + | 0.659812i | ||||
\(79\) | 2.12371 | − | 3.67837i | 0.238936 | − | 0.413849i | −0.721473 | − | 0.692442i | \(-0.756535\pi\) |
0.960409 | + | 0.278593i | \(0.0898681\pi\) | |||||||
\(80\) | −1.65359 | − | 5.36476i | −0.184877 | − | 0.599798i | ||||
\(81\) | 4.22216 | + | 7.94817i | 0.469129 | + | 0.883130i | ||||
\(82\) | − | 7.41572i | − | 0.818930i | ||||||
\(83\) | 10.5572 | + | 6.09519i | 1.15880 | + | 0.669034i | 0.951016 | − | 0.309140i | \(-0.100041\pi\) |
0.207785 | + | 0.978175i | \(0.433375\pi\) | |||||||
\(84\) | 0.964339 | + | 0.267536i | 0.105218 | + | 0.0291905i | ||||
\(85\) | −5.34044 | − | 4.95727i | −0.579252 | − | 0.537691i | ||||
\(86\) | 3.78245 | + | 6.55139i | 0.407872 | + | 0.706454i | ||||
\(87\) | 7.96169 | + | 8.10344i | 0.853582 | + | 0.868780i | ||||
\(88\) | 10.7617 | + | 6.21327i | 1.14720 | + | 0.662337i | ||||
\(89\) | 4.60378 | 0.487999 | 0.244000 | − | 0.969775i | \(-0.421540\pi\) | ||||
0.244000 | + | 0.969775i | \(0.421540\pi\) | |||||||
\(90\) | 7.76636 | + | 1.91913i | 0.818646 | + | 0.202294i | ||||
\(91\) | −2.92770 | −0.306906 | ||||||||
\(92\) | −4.33452 | − | 2.50253i | −0.451905 | − | 0.260907i | ||||
\(93\) | −5.77103 | + | 1.49189i | −0.598428 | + | 0.154702i | ||||
\(94\) | 6.69185 | + | 11.5906i | 0.690211 | + | 1.19548i | ||||
\(95\) | 5.93637 | − | 6.39521i | 0.609058 | − | 0.656135i | ||||
\(96\) | 1.36743 | + | 5.28958i | 0.139563 | + | 0.539865i | ||||
\(97\) | 1.37170 | + | 0.791954i | 0.139276 | + | 0.0804108i | 0.568019 | − | 0.823016i | \(-0.307710\pi\) |
−0.428743 | + | 0.903426i | \(0.641043\pi\) | |||||||
\(98\) | − | 1.19256i | − | 0.120467i | ||||||
\(99\) | −10.6074 | + | 5.87707i | −1.06608 | + | 0.590668i | ||||
\(100\) | −2.38764 | + | 1.62641i | −0.238764 | + | 0.162641i | ||||
\(101\) | −9.61034 | + | 16.6456i | −0.956264 | + | 1.65630i | −0.224817 | + | 0.974401i | \(0.572178\pi\) |
−0.731448 | + | 0.681897i | \(0.761155\pi\) | |||||||
\(102\) | −4.71740 | − | 4.80139i | −0.467092 | − | 0.475408i | ||||
\(103\) | 13.3744 | − | 7.72170i | 1.31782 | − | 0.760842i | 0.334440 | − | 0.942417i | \(-0.391453\pi\) |
0.983377 | + | 0.181575i | \(0.0581196\pi\) | |||||||
\(104\) | −4.50014 | − | 7.79447i | −0.441275 | − | 0.764310i | ||||
\(105\) | 0.109856 | + | 3.87143i | 0.0107208 | + | 0.377812i | ||||
\(106\) | 1.42186 | − | 2.46274i | 0.138103 | − | 0.239202i | ||||
\(107\) | − | 1.41993i | − | 0.137270i | −0.997642 | − | 0.0686351i | \(-0.978136\pi\) | ||
0.997642 | − | 0.0686351i | \(-0.0218644\pi\) | |||||||
\(108\) | −2.87840 | − | 0.853533i | −0.276974 | − | 0.0821313i | ||||
\(109\) | 4.94762 | 0.473896 | 0.236948 | − | 0.971522i | \(-0.423853\pi\) | ||||
0.236948 | + | 0.971522i | \(0.423853\pi\) | |||||||
\(110\) | −2.40079 | + | 10.5085i | −0.228906 | + | 1.00194i | ||||
\(111\) | −7.34114 | − | 2.03665i | −0.696790 | − | 0.193310i | ||||
\(112\) | 2.17422 | − | 1.25529i | 0.205445 | − | 0.118614i | ||||
\(113\) | −10.7333 | + | 6.19686i | −1.00970 | + | 0.582952i | −0.911104 | − | 0.412176i | \(-0.864769\pi\) |
−0.0985975 | + | 0.995127i | \(0.531436\pi\) | |||||||
\(114\) | 5.74970 | − | 5.64912i | 0.538509 | − | 0.529088i | ||||
\(115\) | 4.31411 | − | 18.8833i | 0.402293 | − | 1.76087i | ||||
\(116\) | −3.78962 | −0.351857 | ||||||||
\(117\) | 8.78173 | + | 0.154990i | 0.811871 | + | 0.0143289i | ||||
\(118\) | − | 1.49044i | − | 0.137206i | ||||||
\(119\) | 1.62934 | − | 2.82210i | 0.149361 | − | 0.258701i | ||||
\(120\) | −10.1381 | + | 6.24320i | −0.925478 | + | 0.569924i | ||||
\(121\) | −2.66980 | − | 4.62422i | −0.242709 | − | 0.420384i | ||||
\(122\) | −5.14555 | + | 2.97078i | −0.465856 | + | 0.268962i | ||||
\(123\) | −10.4276 | + | 2.69568i | −0.940226 | + | 0.243062i | ||||
\(124\) | 0.994216 | − | 1.72203i | 0.0892832 | − | 0.154643i | ||||
\(125\) | −8.73679 | − | 6.97628i | −0.781443 | − | 0.623977i | ||||
\(126\) | −0.0631335 | + | 3.57714i | −0.00562438 | + | 0.318677i | ||||
\(127\) | 1.19904i | 0.106398i | 0.998584 | + | 0.0531989i | \(0.0169417\pi\) | ||||
−0.998584 | + | 0.0531989i | \(0.983058\pi\) | |||||||
\(128\) | 3.60743 | + | 2.08275i | 0.318855 | + | 0.184091i | ||||
\(129\) | 7.83727 | − | 7.70017i | 0.690033 | − | 0.677962i | ||||
\(130\) | 5.31141 | − | 5.72195i | 0.465841 | − | 0.501848i | ||||
\(131\) | −6.09913 | − | 10.5640i | −0.532884 | − | 0.922981i | −0.999263 | − | 0.0383963i | \(-0.987775\pi\) |
0.466379 | − | 0.884585i | \(-0.345558\pi\) | |||||||
\(132\) | 1.08144 | − | 3.89808i | 0.0941272 | − | 0.339284i | ||||
\(133\) | 3.37948 | + | 1.95114i | 0.293038 | + | 0.169186i | ||||
\(134\) | 11.6741 | 1.00849 | ||||||||
\(135\) | −0.124565 | − | 11.6183i | −0.0107209 | − | 0.999943i | ||||
\(136\) | 10.0178 | 0.859015 | ||||||||
\(137\) | −8.99833 | − | 5.19519i | −0.768779 | − | 0.443855i | 0.0636599 | − | 0.997972i | \(-0.479723\pi\) |
−0.832439 | + | 0.554117i | \(0.813056\pi\) | |||||||
\(138\) | 4.78336 | − | 17.2417i | 0.407187 | − | 1.46771i | ||||
\(139\) | 2.85630 | + | 4.94726i | 0.242268 | + | 0.419621i | 0.961360 | − | 0.275294i | \(-0.0887752\pi\) |
−0.719092 | + | 0.694915i | \(0.755442\pi\) | |||||||
\(140\) | −0.946904 | − | 0.878965i | −0.0800280 | − | 0.0742861i | ||||
\(141\) | 13.8656 | − | 13.6230i | 1.16769 | − | 1.14727i | ||||
\(142\) | 9.54308 | + | 5.50970i | 0.800837 | + | 0.462364i | ||||
\(143\) | 11.8344i | 0.989644i | ||||||||
\(144\) | −6.58811 | + | 3.65018i | −0.549009 | + | 0.304182i | ||||
\(145\) | −4.31996 | − | 14.0153i | −0.358753 | − | 1.16391i | ||||
\(146\) | 7.85781 | − | 13.6101i | 0.650317 | − | 1.12638i | ||||
\(147\) | −1.67692 | + | 0.433508i | −0.138310 | + | 0.0357552i | ||||
\(148\) | 2.20092 | − | 1.27070i | 0.180915 | − | 0.104451i | ||||
\(149\) | 2.66565 | + | 4.61704i | 0.218378 | + | 0.378242i | 0.954312 | − | 0.298811i | \(-0.0965900\pi\) |
−0.735934 | + | 0.677053i | \(0.763257\pi\) | |||||||
\(150\) | −7.76569 | − | 6.80880i | −0.634066 | − | 0.555937i | ||||
\(151\) | −5.64321 | + | 9.77432i | −0.459238 | + | 0.795423i | −0.998921 | − | 0.0464453i | \(-0.985211\pi\) |
0.539683 | + | 0.841868i | \(0.318544\pi\) | |||||||
\(152\) | 11.9963i | 0.973031i | ||||||||
\(153\) | −5.03665 | + | 8.37871i | −0.407189 | + | 0.677379i | ||||
\(154\) | −4.82062 | −0.388456 | ||||||||
\(155\) | 7.50201 | + | 1.71392i | 0.602576 | + | 0.137666i | ||||
\(156\) | −2.08997 | + | 2.05341i | −0.167332 | + | 0.164405i | ||||
\(157\) | −4.10414 | + | 2.36953i | −0.327546 | + | 0.189109i | −0.654751 | − | 0.755845i | \(-0.727227\pi\) |
0.327205 | + | 0.944953i | \(0.393893\pi\) | |||||||
\(158\) | −4.38670 | + | 2.53266i | −0.348987 | + | 0.201488i | ||||
\(159\) | −3.97983 | − | 1.10412i | −0.315621 | − | 0.0875625i | ||||
\(160\) | 1.57094 | − | 6.87614i | 0.124194 | − | 0.543607i | ||||
\(161\) | 8.66243 | 0.682695 | ||||||||
\(162\) | 0.378742 | − | 10.7264i | 0.0297568 | − | 0.842745i | ||||
\(163\) | − | 15.2832i | − | 1.19707i | −0.801097 | − | 0.598535i | \(-0.795750\pi\) | ||
0.801097 | − | 0.598535i | \(-0.204250\pi\) | |||||||
\(164\) | 1.79644 | − | 3.11152i | 0.140278 | − | 0.242969i | ||||
\(165\) | 15.6492 | − | 0.444062i | 1.21829 | − | 0.0345702i | ||||
\(166\) | −7.26891 | − | 12.5901i | −0.564177 | − | 0.977183i | ||||
\(167\) | 4.96139 | − | 2.86446i | 0.383924 | − | 0.221659i | −0.295600 | − | 0.955312i | \(-0.595520\pi\) |
0.679524 | + | 0.733653i | \(0.262186\pi\) | |||||||
\(168\) | −3.73172 | − | 3.79816i | −0.287908 | − | 0.293035i | ||||
\(169\) | −2.21429 | + | 3.83527i | −0.170330 | + | 0.295020i | ||||
\(170\) | 2.55963 | + | 8.30423i | 0.196314 | + | 0.636905i | ||||
\(171\) | −10.0336 | − | 6.03143i | −0.767286 | − | 0.461235i | ||||
\(172\) | 3.66514i | 0.279465i | ||||||||
\(173\) | −4.68882 | − | 2.70709i | −0.356484 | − | 0.205816i | 0.311053 | − | 0.950393i | \(-0.399318\pi\) |
−0.667538 | + | 0.744576i | \(0.732652\pi\) | |||||||
\(174\) | −3.39082 | − | 13.1166i | −0.257057 | − | 0.994365i | ||||
\(175\) | 2.17129 | − | 4.50394i | 0.164134 | − | 0.340466i | ||||
\(176\) | −5.07416 | − | 8.78871i | −0.382479 | − | 0.662474i | ||||
\(177\) | −2.09578 | + | 0.541788i | −0.157528 | + | 0.0407233i | ||||
\(178\) | −4.75474 | − | 2.74515i | −0.356383 | − | 0.205758i | ||||
\(179\) | 11.7867 | 0.880981 | 0.440491 | − | 0.897757i | \(-0.354805\pi\) | ||||
0.440491 | + | 0.897757i | \(0.354805\pi\) | |||||||
\(180\) | 2.79374 | + | 2.68661i | 0.208233 | + | 0.200248i | ||||
\(181\) | −9.83846 | −0.731287 | −0.365643 | − | 0.930755i | \(-0.619151\pi\) | ||||
−0.365643 | + | 0.930755i | \(0.619151\pi\) | |||||||
\(182\) | 3.02370 | + | 1.74573i | 0.224132 | + | 0.129402i | ||||
\(183\) | 6.04782 | + | 6.15550i | 0.447068 | + | 0.455028i | ||||
\(184\) | 13.3149 | + | 23.0622i | 0.981591 | + | 1.70016i | ||||
\(185\) | 7.20842 | + | 6.69123i | 0.529974 | + | 0.491949i | ||||
\(186\) | 6.84986 | + | 1.90035i | 0.502256 | + | 0.139340i | ||||
\(187\) | −11.4075 | − | 6.58615i | −0.834202 | − | 0.481627i | ||||
\(188\) | 6.48432i | 0.472917i | ||||||||
\(189\) | 5.05294 | − | 1.21155i | 0.367547 | − | 0.0881271i | ||||
\(190\) | −9.94438 | + | 3.06517i | −0.721441 | + | 0.222371i | ||||
\(191\) | −6.60131 | + | 11.4338i | −0.477654 | + | 0.827321i | −0.999672 | − | 0.0256132i | \(-0.991846\pi\) |
0.522018 | + | 0.852935i | \(0.325179\pi\) | |||||||
\(192\) | 4.06677 | − | 14.6588i | 0.293494 | − | 1.05791i | ||||
\(193\) | −3.63667 | + | 2.09963i | −0.261773 | + | 0.151135i | −0.625143 | − | 0.780510i | \(-0.714959\pi\) |
0.363370 | + | 0.931645i | \(0.381626\pi\) | |||||||
\(194\) | −0.944456 | − | 1.63585i | −0.0678080 | − | 0.117447i | ||||
\(195\) | −9.97666 | − | 5.38865i | −0.714443 | − | 0.385889i | ||||
\(196\) | 0.288895 | − | 0.500381i | 0.0206354 | − | 0.0357415i | ||||
\(197\) | 15.2029i | 1.08316i | 0.840648 | + | 0.541581i | \(0.182174\pi\) | ||||
−0.840648 | + | 0.541581i | \(0.817826\pi\) | |||||||
\(198\) | 14.4596 | + | 0.255200i | 1.02760 | + | 0.0181363i | ||||
\(199\) | 12.6279 | 0.895166 | 0.447583 | − | 0.894242i | \(-0.352285\pi\) | ||||
0.447583 | + | 0.894242i | \(0.352285\pi\) | |||||||
\(200\) | 15.3284 | − | 1.14230i | 1.08388 | − | 0.0807727i | ||||
\(201\) | −4.24366 | − | 16.4156i | −0.299325 | − | 1.15787i | ||||
\(202\) | 19.8509 | − | 11.4609i | 1.39671 | − | 0.806389i | ||||
\(203\) | 5.68010 | − | 3.27941i | 0.398665 | − | 0.230169i | ||||
\(204\) | −0.816222 | − | 3.15736i | −0.0571470 | − | 0.221060i | ||||
\(205\) | 13.5553 | + | 3.09687i | 0.946742 | + | 0.216295i | ||||
\(206\) | −18.4173 | −1.28319 | ||||||||
\(207\) | −25.9833 | − | 0.458583i | −1.80596 | − | 0.0318737i | ||||
\(208\) | 7.35021i | 0.509646i | ||||||||
\(209\) | 7.88696 | − | 13.6606i | 0.545553 | − | 0.944925i | ||||
\(210\) | 2.19500 | − | 4.06388i | 0.151470 | − | 0.280434i | ||||
\(211\) | −1.77656 | − | 3.07710i | −0.122304 | − | 0.211836i | 0.798372 | − | 0.602164i | \(-0.205695\pi\) |
−0.920676 | + | 0.390328i | \(0.872362\pi\) | |||||||
\(212\) | 1.19318 | − | 0.688883i | 0.0819480 | − | 0.0473127i | ||||
\(213\) | 4.27846 | − | 15.4218i | 0.293155 | − | 1.05669i | ||||
\(214\) | −0.846681 | + | 1.46649i | −0.0578779 | + | 0.100248i | ||||
\(215\) | −13.5549 | + | 4.17806i | −0.924439 | + | 0.284941i | ||||
\(216\) | 10.9923 | + | 11.5903i | 0.747934 | + | 0.788618i | ||||
\(217\) | 3.44144i | 0.233620i | ||||||||
\(218\) | −5.10986 | − | 2.95018i | −0.346083 | − | 0.199811i | ||||
\(219\) | −21.9942 | − | 6.10184i | −1.48623 | − | 0.412324i | ||||
\(220\) | −3.55298 | + | 3.82760i | −0.239542 | + | 0.258057i | ||||
\(221\) | 4.77021 | + | 8.26224i | 0.320879 | + | 0.555779i | ||||
\(222\) | 6.36745 | + | 6.48082i | 0.427355 | + | 0.434964i | ||||
\(223\) | 8.89357 | + | 5.13470i | 0.595557 | + | 0.343845i | 0.767292 | − | 0.641298i | \(-0.221604\pi\) |
−0.171735 | + | 0.985143i | \(0.554937\pi\) | |||||||
\(224\) | 3.15434 | 0.210758 | ||||||||
\(225\) | −6.75129 | + | 13.3948i | −0.450086 | + | 0.892985i | ||||
\(226\) | 14.7803 | 0.983172 | ||||||||
\(227\) | 7.88525 | + | 4.55255i | 0.523362 | + | 0.302163i | 0.738309 | − | 0.674462i | \(-0.235625\pi\) |
−0.214947 | + | 0.976626i | \(0.568958\pi\) | |||||||
\(228\) | 3.78096 | − | 0.977432i | 0.250400 | − | 0.0647320i | ||||
\(229\) | 14.6780 | + | 25.4231i | 0.969951 | + | 1.68000i | 0.695681 | + | 0.718351i | \(0.255103\pi\) |
0.274270 | + | 0.961653i | \(0.411564\pi\) | |||||||
\(230\) | −15.7153 | + | 16.9300i | −1.03624 | + | 1.11633i | ||||
\(231\) | 1.75234 | + | 6.77850i | 0.115295 | + | 0.445993i | ||||
\(232\) | 17.4617 | + | 10.0815i | 1.14641 | + | 0.661883i | ||||
\(233\) | − | 16.2244i | − | 1.06290i | −0.847091 | − | 0.531448i | \(-0.821648\pi\) | ||
0.847091 | − | 0.531448i | \(-0.178352\pi\) | |||||||
\(234\) | −8.97727 | − | 5.39646i | −0.586863 | − | 0.352778i | ||||
\(235\) | −23.9812 | + | 7.39176i | −1.56436 | + | 0.482185i | ||||
\(236\) | 0.361054 | − | 0.625364i | 0.0235026 | − | 0.0407077i | ||||
\(237\) | 5.15590 | + | 5.24770i | 0.334912 | + | 0.340875i | ||||
\(238\) | −3.36553 | + | 1.94309i | −0.218155 | + | 0.125952i | ||||
\(239\) | −8.20101 | − | 14.2046i | −0.530479 | − | 0.918817i | −0.999368 | − | 0.0355593i | \(-0.988679\pi\) |
0.468889 | − | 0.883257i | \(-0.344655\pi\) | |||||||
\(240\) | 9.71951 | − | 0.275801i | 0.627392 | − | 0.0178029i | ||||
\(241\) | −0.695013 | + | 1.20380i | −0.0447697 | + | 0.0775434i | −0.887542 | − | 0.460727i | \(-0.847589\pi\) |
0.842772 | + | 0.538270i | \(0.180922\pi\) | |||||||
\(242\) | 6.36781i | 0.409338i | ||||||||
\(243\) | −15.2206 | + | 3.36658i | −0.976401 | + | 0.215966i | ||||
\(244\) | −2.87865 | −0.184287 | ||||||||
\(245\) | 2.17990 | + | 0.498025i | 0.139269 | + | 0.0318176i | ||||
\(246\) | 12.3769 | + | 3.43372i | 0.789124 | + | 0.218926i | ||||
\(247\) | −9.89410 | + | 5.71236i | −0.629546 | + | 0.363469i | ||||
\(248\) | −9.16222 | + | 5.28981i | −0.581801 | + | 0.335903i | ||||
\(249\) | −15.0613 | + | 14.7978i | −0.954469 | + | 0.937772i | ||||
\(250\) | 4.86345 | + | 12.4146i | 0.307592 | + | 0.785170i | ||||
\(251\) | 13.0190 | 0.821752 | 0.410876 | − | 0.911691i | \(-0.365223\pi\) | ||||
0.410876 | + | 0.911691i | \(0.365223\pi\) | |||||||
\(252\) | −0.893040 | + | 1.48562i | −0.0562562 | + | 0.0935850i | ||||
\(253\) | − | 35.0155i | − | 2.20141i | ||||||
\(254\) | 0.714967 | − | 1.23836i | 0.0448610 | − | 0.0777016i | ||||
\(255\) | 10.7465 | − | 6.61788i | 0.672974 | − | 0.414428i | ||||
\(256\) | 6.29909 | + | 10.9103i | 0.393693 | + | 0.681896i | ||||
\(257\) | −5.25151 | + | 3.03196i | −0.327580 | + | 0.189128i | −0.654766 | − | 0.755831i | \(-0.727233\pi\) |
0.327186 | + | 0.944960i | \(0.393900\pi\) | |||||||
\(258\) | −12.6857 | + | 3.27944i | −0.789780 | + | 0.204169i | ||||
\(259\) | −2.19925 | + | 3.80921i | −0.136655 | + | 0.236693i | ||||
\(260\) | 3.61471 | − | 1.11417i | 0.224175 | − | 0.0690977i | ||||
\(261\) | −17.2113 | + | 9.53599i | −1.06535 | + | 0.590263i | ||||
\(262\) | 14.5472i | 0.898730i | ||||||||
\(263\) | 23.6992 | + | 13.6827i | 1.46135 | + | 0.843713i | 0.999074 | − | 0.0430209i | \(-0.0136982\pi\) |
0.462280 | + | 0.886734i | \(0.347032\pi\) | |||||||
\(264\) | −15.3530 | + | 15.0845i | −0.944914 | + | 0.928384i | ||||
\(265\) | 3.90788 | + | 3.62750i | 0.240059 | + | 0.222835i | ||||
\(266\) | −2.32686 | − | 4.03025i | −0.142669 | − | 0.247110i | ||||
\(267\) | −2.13170 | + | 7.68376i | −0.130458 | + | 0.470238i | ||||
\(268\) | 4.89828 | + | 2.82803i | 0.299210 | + | 0.172749i | ||||
\(269\) | −18.6269 | −1.13570 | −0.567850 | − | 0.823132i | \(-0.692225\pi\) | ||||
−0.567850 | + | 0.823132i | \(0.692225\pi\) | |||||||
\(270\) | −6.79912 | + | 12.0735i | −0.413782 | + | 0.734772i | ||||
\(271\) | 16.8341 | 1.02260 | 0.511300 | − | 0.859402i | \(-0.329164\pi\) | ||||
0.511300 | + | 0.859402i | \(0.329164\pi\) | |||||||
\(272\) | −7.08509 | − | 4.09058i | −0.429597 | − | 0.248028i | ||||
\(273\) | 1.35562 | − | 4.88636i | 0.0820458 | − | 0.295736i | ||||
\(274\) | 6.19559 | + | 10.7311i | 0.374290 | + | 0.648288i | ||||
\(275\) | −18.2060 | − | 8.77685i | −1.09786 | − | 0.529264i | ||||
\(276\) | 6.18378 | − | 6.07561i | 0.372220 | − | 0.365709i | ||||
\(277\) | −15.3556 | − | 8.86557i | −0.922629 | − | 0.532680i | −0.0381563 | − | 0.999272i | \(-0.512148\pi\) |
−0.884473 | + | 0.466592i | \(0.845482\pi\) | |||||||
\(278\) | − | 6.81265i | − | 0.408595i | ||||||
\(279\) | 0.182187 | − | 10.3227i | 0.0109073 | − | 0.618005i | ||||
\(280\) | 2.02480 | + | 6.56910i | 0.121005 | + | 0.392579i | ||||
\(281\) | 14.6728 | − | 25.4141i | 0.875307 | − | 1.51608i | 0.0188725 | − | 0.999822i | \(-0.493992\pi\) |
0.856435 | − | 0.516255i | \(-0.172674\pi\) | |||||||
\(282\) | −22.4434 | + | 5.80194i | −1.33649 | + | 0.345500i | ||||
\(283\) | 15.0805 | − | 8.70671i | 0.896440 | − | 0.517560i | 0.0203967 | − | 0.999792i | \(-0.493507\pi\) |
0.876044 | + | 0.482232i | \(0.160174\pi\) | |||||||
\(284\) | 2.66942 | + | 4.62356i | 0.158401 | + | 0.274358i | ||||
\(285\) | 7.92496 | + | 12.8691i | 0.469434 | + | 0.762297i | ||||
\(286\) | 7.05665 | − | 12.2225i | 0.417269 | − | 0.722730i | ||||
\(287\) | 6.21830i | 0.367055i | ||||||||
\(288\) | −9.46153 | − | 0.166988i | −0.557526 | − | 0.00983988i | ||||
\(289\) | 6.38104 | 0.375355 | ||||||||
\(290\) | −3.89546 | + | 17.0508i | −0.228749 | + | 1.00126i | ||||
\(291\) | −1.95692 | + | 1.92269i | −0.114717 | + | 0.112710i | ||||
\(292\) | 6.59402 | − | 3.80706i | 0.385886 | − | 0.222791i | ||||
\(293\) | 5.29842 | − | 3.05904i | 0.309537 | − | 0.178711i | −0.337182 | − | 0.941439i | \(-0.609474\pi\) |
0.646719 | + | 0.762728i | \(0.276141\pi\) | |||||||
\(294\) | 1.99040 | + | 0.552196i | 0.116083 | + | 0.0322047i | ||||
\(295\) | 2.72439 | + | 0.622420i | 0.158620 | + | 0.0362387i | ||||
\(296\) | −13.5218 | −0.785937 | ||||||||
\(297\) | −4.89735 | − | 20.4251i | −0.284173 | − | 1.18518i | ||||
\(298\) | − | 6.35791i | − | 0.368304i | ||||||
\(299\) | −12.6805 | + | 21.9633i | −0.733332 | + | 1.27017i | ||||
\(300\) | −1.60895 | − | 4.73808i | −0.0928926 | − | 0.273553i | ||||
\(301\) | −3.17169 | − | 5.49353i | −0.182813 | − | 0.316642i | ||||
\(302\) | 11.6565 | − | 6.72989i | 0.670756 | − | 0.387261i | ||||
\(303\) | −23.3318 | − | 23.7472i | −1.34038 | − | 1.36424i | ||||
\(304\) | 4.89850 | − | 8.48445i | 0.280948 | − | 0.486616i | ||||
\(305\) | −3.28150 | − | 10.6462i | −0.187898 | − | 0.609601i | ||||
\(306\) | 10.1979 | − | 5.65019i | 0.582974 | − | 0.323000i | ||||
\(307\) | − | 5.40835i | − | 0.308671i | −0.988019 | − | 0.154335i | \(-0.950676\pi\) | ||
0.988019 | − | 0.154335i | \(-0.0493236\pi\) | |||||||
\(308\) | −2.02265 | − | 1.16778i | −0.115251 | − | 0.0665404i | ||||
\(309\) | 6.69484 | + | 25.8974i | 0.380856 | + | 1.47325i | ||||
\(310\) | −6.72602 | − | 6.24344i | −0.382012 | − | 0.354603i | ||||
\(311\) | 9.87784 | + | 17.1089i | 0.560121 | + | 0.970158i | 0.997485 | + | 0.0708733i | \(0.0225786\pi\) |
−0.437365 | + | 0.899284i | \(0.644088\pi\) | |||||||
\(312\) | 15.0928 | − | 3.90169i | 0.854460 | − | 0.220890i | ||||
\(313\) | −11.4466 | − | 6.60869i | −0.647000 | − | 0.373545i | 0.140306 | − | 0.990108i | \(-0.455191\pi\) |
−0.787306 | + | 0.616563i | \(0.788525\pi\) | |||||||
\(314\) | 5.65163 | 0.318940 | ||||||||
\(315\) | −6.51232 | − | 1.60924i | −0.366928 | − | 0.0906707i | ||||
\(316\) | −2.45412 | −0.138055 | ||||||||
\(317\) | −16.6240 | − | 9.59784i | −0.933694 | − | 0.539069i | −0.0457161 | − | 0.998954i | \(-0.514557\pi\) |
−0.887978 | + | 0.459886i | \(0.847890\pi\) | |||||||
\(318\) | 3.45197 | + | 3.51343i | 0.193577 | + | 0.197023i | ||||
\(319\) | −13.2561 | − | 22.9603i | −0.742200 | − | 1.28553i | ||||
\(320\) | −13.3610 | + | 14.3938i | −0.746904 | + | 0.804635i | ||||
\(321\) | 2.36989 | + | 0.657475i | 0.132274 | + | 0.0366967i | ||||
\(322\) | −8.94648 | − | 5.16525i | −0.498568 | − | 0.287848i | ||||
\(323\) | − | 12.7163i | − | 0.707553i | ||||||
\(324\) | 2.75735 | − | 4.40888i | 0.153186 | − | 0.244938i | ||||
\(325\) | 8.24113 | + | 12.0983i | 0.457136 | + | 0.671094i | ||||
\(326\) | −9.11308 | + | 15.7843i | −0.504727 | + | 0.874212i | ||||
\(327\) | −2.29091 | + | 8.25764i | −0.126688 | + | 0.456648i | ||||
\(328\) | −16.5551 | + | 9.55809i | −0.914102 | + | 0.527757i | ||||
\(329\) | −5.61131 | − | 9.71907i | −0.309361 | − | 0.535830i | ||||
\(330\) | −16.4271 | − | 8.87270i | −0.904283 | − | 0.488426i | ||||
\(331\) | −17.2640 | + | 29.9021i | −0.948915 | + | 1.64357i | −0.201199 | + | 0.979550i | \(0.564484\pi\) |
−0.747716 | + | 0.664019i | \(0.768849\pi\) | |||||||
\(332\) | − | 7.04348i | − | 0.386561i | ||||||
\(333\) | 6.79837 | − | 11.3094i | 0.372549 | − | 0.619752i | ||||
\(334\) | −6.83210 | −0.373836 | ||||||||
\(335\) | −4.87522 | + | 21.3393i | −0.266362 | + | 1.16589i | ||||
\(336\) | 1.08836 | + | 4.21005i | 0.0593747 | + | 0.229677i | ||||
\(337\) | 8.37265 | − | 4.83395i | 0.456087 | − | 0.263322i | −0.254310 | − | 0.967123i | \(-0.581848\pi\) |
0.710398 | + | 0.703800i | \(0.248515\pi\) | |||||||
\(338\) | 4.57380 | − | 2.64069i | 0.248782 | − | 0.143634i | ||||
\(339\) | −5.37278 | − | 20.7833i | −0.291809 | − | 1.12879i | ||||
\(340\) | −0.937697 | + | 4.10439i | −0.0508537 | + | 0.222592i | ||||
\(341\) | 13.9111 | 0.753328 | ||||||||
\(342\) | 6.76615 | + | 12.2120i | 0.365871 | + | 0.660352i | ||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | 9.75035 | − | 16.8881i | 0.525704 | − | 0.910546i | ||||
\(345\) | 29.5188 | + | 15.9439i | 1.58924 | + | 0.858388i | ||||
\(346\) | 3.22838 | + | 5.59172i | 0.173559 | + | 0.300613i | ||||
\(347\) | −0.805161 | + | 0.464860i | −0.0432233 | + | 0.0249550i | −0.521456 | − | 0.853278i | \(-0.674611\pi\) |
0.478233 | + | 0.878233i | \(0.341278\pi\) | |||||||
\(348\) | 1.75472 | − | 6.32492i | 0.0940627 | − | 0.339051i | ||||
\(349\) | −15.8412 | + | 27.4378i | −0.847961 | + | 1.46871i | 0.0350631 | + | 0.999385i | \(0.488837\pi\) |
−0.883024 | + | 0.469327i | \(0.844497\pi\) | |||||||
\(350\) | −4.92811 | + | 3.35693i | −0.263419 | + | 0.179435i | ||||
\(351\) | −4.32490 | + | 14.5850i | −0.230846 | + | 0.778492i | ||||
\(352\) | − | 12.7505i | − | 0.679606i | ||||||
\(353\) | −7.15773 | − | 4.13252i | −0.380967 | − | 0.219952i | 0.297272 | − | 0.954793i | \(-0.403923\pi\) |
−0.678239 | + | 0.734841i | \(0.737257\pi\) | |||||||
\(354\) | 2.48756 | + | 0.690121i | 0.132212 | + | 0.0366795i | ||||
\(355\) | −14.0565 | + | 15.1430i | −0.746042 | + | 0.803707i | ||||
\(356\) | −1.33001 | − | 2.30364i | −0.0704903 | − | 0.122093i | ||||
\(357\) | 3.95567 | + | 4.02610i | 0.209356 | + | 0.213084i | ||||
\(358\) | −12.1732 | − | 7.02821i | −0.643375 | − | 0.371453i | ||||
\(359\) | 16.7567 | 0.884386 | 0.442193 | − | 0.896920i | \(-0.354201\pi\) | ||||
0.442193 | + | 0.896920i | \(0.354201\pi\) | |||||||
\(360\) | −5.72570 | − | 19.8114i | −0.301771 | − | 1.04415i | ||||
\(361\) | −3.77216 | −0.198535 | ||||||||
\(362\) | 10.1611 | + | 5.86650i | 0.534054 | + | 0.308336i | ||||
\(363\) | 8.95409 | − | 2.31476i | 0.469968 | − | 0.121493i | ||||
\(364\) | 0.845798 | + | 1.46496i | 0.0443318 | + | 0.0767850i | ||||
\(365\) | 21.5966 | + | 20.0471i | 1.13042 | + | 1.04931i | ||||
\(366\) | −2.57572 | − | 9.96355i | −0.134635 | − | 0.520803i | ||||
\(367\) | 3.47459 | + | 2.00605i | 0.181372 | + | 0.104715i | 0.587937 | − | 0.808907i | \(-0.299940\pi\) |
−0.406565 | + | 0.913622i | \(0.633274\pi\) | |||||||
\(368\) | − | 21.7477i | − | 1.13368i | ||||||
\(369\) | 0.329192 | − | 18.6520i | 0.0171371 | − | 0.970984i | ||||
\(370\) | −3.45493 | − | 11.2089i | −0.179613 | − | 0.582722i | ||||
\(371\) | −1.19227 | + | 2.06508i | −0.0618997 | + | 0.107213i | ||||
\(372\) | 2.41374 | + | 2.45672i | 0.125147 | + | 0.127375i | ||||
\(373\) | −5.76983 | + | 3.33121i | −0.298750 | + | 0.172484i | −0.641881 | − | 0.766804i | \(-0.721846\pi\) |
0.343131 | + | 0.939288i | \(0.388513\pi\) | |||||||
\(374\) | 7.85441 | + | 13.6042i | 0.406142 | + | 0.703458i | ||||
\(375\) | 15.6889 | − | 11.3516i | 0.810172 | − | 0.586193i | ||||
\(376\) | 17.2502 | − | 29.8782i | 0.889610 | − | 1.54085i | ||||
\(377\) | 19.2022i | 0.988966i | ||||||||
\(378\) | −5.94105 | − | 1.76170i | −0.305575 | − | 0.0906121i | ||||
\(379\) | −16.9848 | −0.872450 | −0.436225 | − | 0.899838i | \(-0.643685\pi\) | ||||
−0.436225 | + | 0.899838i | \(0.643685\pi\) | |||||||
\(380\) | −4.91503 | − | 1.12290i | −0.252136 | − | 0.0576035i | ||||
\(381\) | −2.00122 | − | 0.555195i | −0.102525 | − | 0.0284435i | ||||
\(382\) | 13.6356 | − | 7.87249i | 0.697656 | − | 0.402792i | ||||
\(383\) | 7.54893 | − | 4.35838i | 0.385732 | − | 0.222703i | −0.294577 | − | 0.955628i | \(-0.595179\pi\) |
0.680309 | + | 0.732925i | \(0.261845\pi\) | |||||||
\(384\) | −5.14650 | + | 5.05647i | −0.262631 | + | 0.258037i | ||||
\(385\) | 2.01313 | − | 8.81166i | 0.102599 | − | 0.449084i | ||||
\(386\) | 5.00789 | 0.254895 | ||||||||
\(387\) | 9.22277 | + | 16.6459i | 0.468820 | + | 0.846160i | ||||
\(388\) | − | 0.915167i | − | 0.0464606i | ||||||
\(389\) | 10.0602 | − | 17.4248i | 0.510074 | − | 0.883474i | −0.489858 | − | 0.871802i | \(-0.662951\pi\) |
0.999932 | − | 0.0116719i | \(-0.00371538\pi\) | |||||||
\(390\) | 7.09065 | + | 11.5143i | 0.359049 | + | 0.583047i | ||||
\(391\) | −14.1140 | − | 24.4462i | −0.713777 | − | 1.23630i | ||||
\(392\) | −2.66232 | + | 1.53709i | −0.134467 | + | 0.0776348i | ||||
\(393\) | 20.4555 | − | 5.28805i | 1.03185 | − | 0.266747i | ||||
\(394\) | 9.06522 | − | 15.7014i | 0.456699 | − | 0.791026i | ||||
\(395\) | −2.79756 | − | 9.07615i | −0.140760 | − | 0.456671i | ||||
\(396\) | 6.00519 | + | 3.60987i | 0.301772 | + | 0.181403i | ||||
\(397\) | 29.2717i | 1.46911i | 0.678551 | + | 0.734553i | \(0.262608\pi\) | ||||
−0.678551 | + | 0.734553i | \(0.737392\pi\) | |||||||
\(398\) | −13.0420 | − | 7.52978i | −0.653734 | − | 0.377434i | ||||
\(399\) | −4.82129 | + | 4.73695i | −0.241366 | + | 0.237144i | ||||
\(400\) | −11.3075 | − | 5.45119i | −0.565375 | − | 0.272560i | ||||
\(401\) | −2.19436 | − | 3.80075i | −0.109581 | − | 0.189800i | 0.806019 | − | 0.591889i | \(-0.201618\pi\) |
−0.915601 | + | 0.402089i | \(0.868284\pi\) | |||||||
\(402\) | −5.40551 | + | 19.4843i | −0.269602 | + | 0.971788i | ||||
\(403\) | −8.72564 | − | 5.03775i | −0.434655 | − | 0.250948i | ||||
\(404\) | 11.1055 | 0.552520 | ||||||||
\(405\) | 19.4487 | + | 5.17174i | 0.966415 | + | 0.256986i | ||||
\(406\) | −7.82181 | −0.388190 | ||||||||
\(407\) | 15.3977 | + | 8.88986i | 0.763235 | + | 0.440654i | ||||
\(408\) | −4.63854 | + | 16.7198i | −0.229642 | + | 0.827751i | ||||
\(409\) | 1.93960 | + | 3.35948i | 0.0959069 | + | 0.166116i | 0.909987 | − | 0.414637i | \(-0.136092\pi\) |
−0.814080 | + | 0.580753i | \(0.802758\pi\) | |||||||
\(410\) | −12.1532 | − | 11.2812i | −0.600202 | − | 0.557138i | ||||
\(411\) | 12.8373 | − | 12.6128i | 0.633220 | − | 0.622142i | ||||
\(412\) | −7.72759 | − | 4.46152i | −0.380711 | − | 0.219804i | ||||
\(413\) | 1.24978i | 0.0614974i | ||||||||
\(414\) | 26.5618 | + | 15.9670i | 1.30544 | + | 0.784734i | ||||
\(415\) | 26.0492 | − | 8.02918i | 1.27870 | − | 0.394137i | ||||
\(416\) | −4.61747 | + | 7.99770i | −0.226390 | + | 0.392119i | ||||
\(417\) | −9.57959 | + | 2.47646i | −0.469115 | + | 0.121273i | ||||
\(418\) | −16.2912 | + | 9.40571i | −0.796827 | + | 0.460048i | ||||
\(419\) | −11.4391 | − | 19.8131i | −0.558835 | − | 0.967931i | −0.997594 | − | 0.0693264i | \(-0.977915\pi\) |
0.438759 | − | 0.898605i | \(-0.355418\pi\) | |||||||
\(420\) | 1.90545 | − | 1.17341i | 0.0929765 | − | 0.0572563i | ||||
\(421\) | −9.08277 | + | 15.7318i | −0.442667 | + | 0.766722i | −0.997886 | − | 0.0649822i | \(-0.979301\pi\) |
0.555219 | + | 0.831704i | \(0.312634\pi\) | |||||||
\(422\) | 4.23733i | 0.206270i | ||||||||
\(423\) | 16.3168 | + | 29.4497i | 0.793349 | + | 1.43189i | ||||
\(424\) | −7.33052 | −0.356002 | ||||||||
\(425\) | −16.2483 | + | 1.21085i | −0.788159 | + | 0.0587350i | ||||
\(426\) | −13.6145 | + | 13.3763i | −0.659625 | + | 0.648086i | ||||
\(427\) | 4.31469 | − | 2.49109i | 0.208803 | − | 0.120552i | ||||
\(428\) | −0.710508 | + | 0.410212i | −0.0343437 | + | 0.0198283i | ||||
\(429\) | −19.7518 | − | 5.47972i | −0.953625 | − | 0.264563i | ||||
\(430\) | 16.4907 | + | 3.76750i | 0.795253 | + | 0.181685i | ||||
\(431\) | −11.0896 | −0.534165 | −0.267083 | − | 0.963674i | \(-0.586060\pi\) | ||||
−0.267083 | + | 0.963674i | \(0.586060\pi\) | |||||||
\(432\) | −3.04168 | − | 12.6858i | −0.146343 | − | 0.610345i | ||||
\(433\) | 19.4639i | 0.935376i | 0.883894 | + | 0.467688i | \(0.154913\pi\) | ||||
−0.883894 | + | 0.467688i | \(0.845087\pi\) | |||||||
\(434\) | 2.05207 | − | 3.55429i | 0.0985026 | − | 0.170611i | ||||
\(435\) | 25.3920 | − | 0.720524i | 1.21745 | − | 0.0345465i | ||||
\(436\) | −1.42934 | − | 2.47570i | −0.0684531 | − | 0.118564i | ||||
\(437\) | 29.2745 | − | 16.9016i | 1.40039 | − | 0.808516i | ||||
\(438\) | 19.0770 | + | 19.4167i | 0.911536 | + | 0.927766i | ||||
\(439\) | 1.31143 | − | 2.27146i | 0.0625911 | − | 0.108411i | −0.833032 | − | 0.553225i | \(-0.813397\pi\) |
0.895623 | + | 0.444814i | \(0.146730\pi\) | |||||||
\(440\) | 26.5538 | − | 8.18472i | 1.26590 | − | 0.390191i | ||||
\(441\) | 0.0529393 | − | 2.99953i | 0.00252092 | − | 0.142835i | ||||
\(442\) | − | 11.3776i | − | 0.541175i | ||||||
\(443\) | −10.2895 | − | 5.94064i | −0.488868 | − | 0.282248i | 0.235236 | − | 0.971938i | \(-0.424414\pi\) |
−0.724105 | + | 0.689690i | \(0.757747\pi\) | |||||||
\(444\) | 1.10172 | + | 4.26175i | 0.0522854 | + | 0.202253i | ||||
\(445\) | 7.00351 | − | 7.54484i | 0.331998 | − | 0.357660i | ||||
\(446\) | −6.12346 | − | 10.6062i | −0.289954 | − | 0.502216i | ||||
\(447\) | −8.94017 | + | 2.31116i | −0.422856 | + | 0.109314i | ||||
\(448\) | −7.60622 | − | 4.39145i | −0.359360 | − | 0.207477i | ||||
\(449\) | −20.2366 | −0.955022 | −0.477511 | − | 0.878626i | \(-0.658461\pi\) | ||||
−0.477511 | + | 0.878626i | \(0.658461\pi\) | |||||||
\(450\) | 14.9597 | − | 9.80833i | 0.705209 | − | 0.462369i | ||||
\(451\) | 25.1358 | 1.18360 | ||||||||
\(452\) | 6.20158 | + | 3.58049i | 0.291698 | + | 0.168412i | ||||
\(453\) | −13.7005 | − | 13.9444i | −0.643704 | − | 0.655165i | ||||
\(454\) | −5.42921 | − | 9.40367i | −0.254805 | − | 0.441336i | ||||
\(455\) | −4.45377 | + | 4.79802i | −0.208796 | + | 0.224935i | ||||
\(456\) | −20.0220 | − | 5.55469i | −0.937617 | − | 0.260122i | ||||
\(457\) | 25.7674 | + | 14.8768i | 1.20535 | + | 0.695908i | 0.961740 | − | 0.273965i | \(-0.0883353\pi\) |
0.243609 | + | 0.969873i | \(0.421669\pi\) | |||||||
\(458\) | − | 35.0090i | − | 1.63586i | ||||||
\(459\) | −11.6520 | − | 12.2858i | −0.543870 | − | 0.573454i | ||||
\(460\) | −10.6951 | + | 3.29658i | −0.498664 | + | 0.153704i | ||||
\(461\) | −6.40055 | + | 11.0861i | −0.298103 | + | 0.516330i | −0.975702 | − | 0.219102i | \(-0.929687\pi\) |
0.677599 | + | 0.735432i | \(0.263021\pi\) | |||||||
\(462\) | 2.23210 | − | 8.04566i | 0.103847 | − | 0.374318i | ||||
\(463\) | 21.6269 | − | 12.4863i | 1.00509 | − | 0.580287i | 0.0953374 | − | 0.995445i | \(-0.469607\pi\) |
0.909749 | + | 0.415158i | \(0.136274\pi\) | |||||||
\(464\) | −8.23321 | − | 14.2603i | −0.382217 | − | 0.662020i | ||||
\(465\) | −6.33423 | + | 11.7273i | −0.293743 | + | 0.543842i | ||||
\(466\) | −9.67433 | + | 16.7564i | −0.448155 | + | 0.776227i | ||||
\(467\) | 1.50301i | 0.0695509i | 0.999395 | + | 0.0347754i | \(0.0110716\pi\) | ||||
−0.999395 | + | 0.0347754i | \(0.988928\pi\) | |||||||
\(468\) | −2.45944 | − | 4.43899i | −0.113688 | − | 0.205192i | ||||
\(469\) | −9.78911 | −0.452019 | ||||||||
\(470\) | 29.1751 | + | 6.66541i | 1.34575 | + | 0.307453i | ||||
\(471\) | −2.05442 | − | 7.94703i | −0.0946626 | − | 0.366180i | ||||
\(472\) | −3.32730 | + | 1.92102i | −0.153151 | + | 0.0884220i | ||||
\(473\) | −22.2061 | + | 12.8207i | −1.02104 | + | 0.589496i | ||||
\(474\) | −2.19586 | − | 8.49415i | −0.100859 | − | 0.390149i | ||||
\(475\) | −1.45000 | − | 19.4575i | −0.0665308 | − | 0.892770i | ||||
\(476\) | −1.88283 | −0.0862994 | ||||||||
\(477\) | 3.68558 | − | 6.13115i | 0.168751 | − | 0.280726i | ||||
\(478\) | 19.5605i | 0.894674i | ||||||||
\(479\) | 6.43125 | − | 11.1393i | 0.293852 | − | 0.508966i | −0.680866 | − | 0.732408i | \(-0.738396\pi\) |
0.974717 | + | 0.223443i | \(0.0717295\pi\) | |||||||
\(480\) | 10.7490 | + | 5.80579i | 0.490621 | + | 0.264997i | ||||
\(481\) | −6.43873 | − | 11.1522i | −0.293581 | − | 0.508497i | ||||
\(482\) | 1.43561 | − | 0.828848i | 0.0653901 | − | 0.0377530i | ||||
\(483\) | −4.01099 | + | 14.4577i | −0.182506 | + | 0.657848i | ||||
\(484\) | −1.54258 | + | 2.67183i | −0.0701174 | + | 0.121447i | ||||
\(485\) | 3.38459 | − | 1.04324i | 0.153687 | − | 0.0473710i | ||||
\(486\) | 17.7271 | + | 5.59879i | 0.804118 | + | 0.253966i | ||||
\(487\) | − | 15.1180i | − | 0.685063i | −0.939506 | − | 0.342532i | \(-0.888716\pi\) | ||
0.939506 | − | 0.342532i | \(-0.111284\pi\) | |||||||
\(488\) | 13.2641 | + | 7.65806i | 0.600440 | + | 0.346664i | ||||
\(489\) | 25.5078 | + | 7.07660i | 1.15350 | + | 0.320015i | ||||
\(490\) | −1.95442 | − | 1.81419i | −0.0882917 | − | 0.0819568i | ||||
\(491\) | 11.7851 | + | 20.4124i | 0.531853 | + | 0.921197i | 0.999309 | + | 0.0371799i | \(0.0118375\pi\) |
−0.467456 | + | 0.884017i | \(0.654829\pi\) | |||||||
\(492\) | 4.36136 | + | 4.43901i | 0.196625 | + | 0.200126i | ||||
\(493\) | −18.5096 | − | 10.6865i | −0.833631 | − | 0.481297i | ||||
\(494\) | 13.6247 | 0.613005 | ||||||||
\(495\) | −6.50493 | + | 26.3243i | −0.292375 | + | 1.18319i | ||||
\(496\) | 8.64001 | 0.387948 | ||||||||
\(497\) | −8.00215 | − | 4.62004i | −0.358945 | − | 0.207237i | ||||
\(498\) | 24.3788 | − | 6.30226i | 1.09244 | − | 0.282411i | ||||
\(499\) | −17.0342 | − | 29.5041i | −0.762554 | − | 1.32078i | −0.941530 | − | 0.336929i | \(-0.890612\pi\) |
0.178976 | − | 0.983854i | \(-0.442722\pi\) | |||||||
\(500\) | −0.966779 | + | 6.38714i | −0.0432357 | + | 0.285642i | ||||
\(501\) | 2.48353 | + | 9.60696i | 0.110956 | + | 0.429207i | ||||
\(502\) | −13.4459 | − | 7.76300i | −0.600120 | − | 0.346479i | ||||
\(503\) | 5.01986i | 0.223825i | 0.993718 | + | 0.111912i | \(0.0356976\pi\) | ||||
−0.993718 | + | 0.111912i | \(0.964302\pi\) | |||||||
\(504\) | 8.06708 | − | 4.46961i | 0.359337 | − | 0.199092i | ||||
\(505\) | 12.6597 | + | 41.0719i | 0.563348 | + | 1.82768i | ||||
\(506\) | −20.8791 | + | 36.1637i | −0.928190 | + | 1.60767i | ||||
\(507\) | −5.37582 | − | 5.47153i | −0.238748 | − | 0.242999i | ||||
\(508\) | 0.599978 | − | 0.346397i | 0.0266197 | − | 0.0153689i | ||||
\(509\) | 1.83554 | + | 3.17925i | 0.0813590 | + | 0.140918i | 0.903834 | − | 0.427883i | \(-0.140741\pi\) |
−0.822475 | + | 0.568801i | \(0.807407\pi\) | |||||||
\(510\) | −15.0451 | + | 0.426919i | −0.666206 | + | 0.0189043i | ||||
\(511\) | −6.58900 | + | 11.4125i | −0.291480 | + | 0.504859i | ||||
\(512\) | − | 23.3551i | − | 1.03216i | ||||||
\(513\) | 14.7124 | − | 13.9534i | 0.649568 | − | 0.616058i | ||||
\(514\) | 7.23161 | 0.318973 | ||||||||
\(515\) | 7.69120 | − | 33.6651i | 0.338915 | − | 1.48346i | ||||
\(516\) | −6.11717 | − | 1.69708i | −0.269293 | − | 0.0747098i | ||||
\(517\) | −39.2867 | + | 22.6822i | −1.72783 | + | 0.997561i | ||||
\(518\) | 4.54273 | − | 2.62274i | 0.199596 | − | 0.115237i | ||||
\(519\) | 6.68924 | − | 6.57223i | 0.293625 | − | 0.288489i | ||||
\(520\) | −19.6197 | − | 4.48236i | −0.860381 | − | 0.196565i | ||||
\(521\) | 10.7339 | 0.470261 | 0.235131 | − | 0.971964i | \(-0.424448\pi\) | ||||
0.235131 | + | 0.971964i | \(0.424448\pi\) | |||||||
\(522\) | 23.4618 | + | 0.414081i | 1.02689 | + | 0.0181238i | ||||
\(523\) | 36.6402i | 1.60216i | 0.598555 | + | 0.801081i | \(0.295742\pi\) | ||||
−0.598555 | + | 0.801081i | \(0.704258\pi\) | |||||||
\(524\) | −3.52402 | + | 6.10378i | −0.153947 | + | 0.266645i | ||||
\(525\) | 6.51176 | + | 5.70938i | 0.284196 | + | 0.249178i | ||||
\(526\) | −16.3175 | − | 28.2628i | −0.711478 | − | 1.23232i | ||||
\(527\) | 9.71208 | − | 5.60727i | 0.423065 | − | 0.244257i | ||||
\(528\) | 17.0180 | − | 4.39938i | 0.740612 | − | 0.191459i | ||||
\(529\) | 26.0189 | − | 45.0660i | 1.13126 | − | 1.95939i | ||||
\(530\) | −1.87301 | − | 6.07665i | −0.0813585 | − | 0.263953i | ||||
\(531\) | 0.0661622 | − | 3.74874i | 0.00287120 | − | 0.162682i | ||||
\(532\) | − | 2.25470i | − | 0.0977538i | ||||||
\(533\) | −15.7663 | − | 9.10265i | −0.682912 | − | 0.394280i | ||||
\(534\) | 6.78329 | − | 6.66462i | 0.293541 | − | 0.288406i | ||||
\(535\) | −2.32704 | − | 2.16008i | −0.100607 | − | 0.0933884i | ||||
\(536\) | −15.0467 | − | 26.0617i | −0.649920 | − | 1.12570i | ||||
\(537\) | −5.45763 | + | 19.6722i | −0.235514 | + | 0.848917i | ||||
\(538\) | 19.2377 | + | 11.1069i | 0.829395 | + | 0.478851i | ||||
\(539\) | 4.04223 | 0.174111 | ||||||||
\(540\) | −5.77758 | + | 3.41880i | −0.248628 | + | 0.147122i | ||||
\(541\) | 1.34533 | 0.0578401 | 0.0289201 | − | 0.999582i | \(-0.490793\pi\) | ||||
0.0289201 | + | 0.999582i | \(0.490793\pi\) | |||||||
\(542\) | −17.3861 | − | 10.0379i | −0.746798 | − | 0.431164i | ||||
\(543\) | 4.55552 | − | 16.4205i | 0.195496 | − | 0.704671i | ||||
\(544\) | −5.13948 | − | 8.90184i | −0.220353 | − | 0.381663i | ||||
\(545\) | 7.52658 | − | 8.10835i | 0.322403 | − | 0.347323i | ||||
\(546\) | −4.31372 | + | 4.23826i | −0.184610 | + | 0.181381i | ||||
\(547\) | −29.1966 | − | 16.8567i | −1.24836 | − | 0.720739i | −0.277575 | − | 0.960704i | \(-0.589531\pi\) |
−0.970781 | + | 0.239965i | \(0.922864\pi\) | |||||||
\(548\) | 6.00346i | 0.256455i | ||||||||
\(549\) | −13.0739 | + | 7.24369i | −0.557982 | + | 0.309153i | ||||
\(550\) | 13.5695 | + | 19.9205i | 0.578604 | + | 0.849415i | ||||
\(551\) | 12.7972 | − | 22.1654i | 0.545179 | − | 0.944277i | ||||
\(552\) | −44.6563 | + | 11.5443i | −1.90070 | + | 0.491357i | ||||
\(553\) | 3.67837 | − | 2.12371i | 0.156420 | − | 0.0903093i | ||||
\(554\) | 10.5728 | + | 18.3126i | 0.449193 | + | 0.778026i | ||||
\(555\) | −14.5055 | + | 8.93269i | −0.615723 | + | 0.379171i | ||||
\(556\) | 1.65034 | − | 2.85848i | 0.0699901 | − | 0.121226i | ||||
\(557\) | 13.8322i | 0.586090i | 0.956099 | + | 0.293045i | \(0.0946686\pi\) | ||||
−0.956099 | + | 0.293045i | \(0.905331\pi\) | |||||||
\(558\) | −6.34342 | + | 10.5526i | −0.268538 | + | 0.446726i | ||||
\(559\) | 18.5715 | 0.785491 | ||||||||
\(560\) | 1.25033 | − | 5.47281i | 0.0528361 | − | 0.231269i | ||||
\(561\) | 16.2744 | − | 15.9897i | 0.687107 | − | 0.675087i | ||||
\(562\) | −30.3079 | + | 17.4983i | −1.27846 | + | 0.738121i | ||||
\(563\) | −10.6277 | + | 6.13592i | −0.447906 | + | 0.258598i | −0.706945 | − | 0.707268i | \(-0.749927\pi\) |
0.259040 | + | 0.965867i | \(0.416594\pi\) | |||||||
\(564\) | −10.8224 | − | 3.00245i | −0.455705 | − | 0.126426i | ||||
\(565\) | −6.17238 | + | 27.0171i | −0.259674 | + | 1.13662i | ||||
\(566\) | −20.7666 | −0.872886 | ||||||||
\(567\) | −0.317586 | + | 8.99439i | −0.0133374 | + | 0.377729i | ||||
\(568\) | − | 28.4057i | − | 1.19188i | ||||||
\(569\) | −5.61071 | + | 9.71803i | −0.235213 | + | 0.407401i | −0.959335 | − | 0.282271i | \(-0.908912\pi\) |
0.724122 | + | 0.689672i | \(0.242245\pi\) | |||||||
\(570\) | −0.511239 | − | 18.0166i | −0.0214134 | − | 0.754631i | ||||
\(571\) | −10.0493 | − | 17.4060i | −0.420551 | − | 0.728416i | 0.575442 | − | 0.817843i | \(-0.304830\pi\) |
−0.995993 | + | 0.0894262i | \(0.971497\pi\) | |||||||
\(572\) | 5.92172 | − | 3.41891i | 0.247600 | − | 0.142952i | ||||
\(573\) | −16.0265 | − | 16.3119i | −0.669518 | − | 0.681439i | ||||
\(574\) | 3.70786 | − | 6.42221i | 0.154763 | − | 0.268058i | ||||
\(575\) | −24.3837 | − | 35.7963i | −1.01687 | − | 1.49281i | ||||
\(576\) | 22.5826 | + | 13.5750i | 0.940943 | + | 0.565624i | ||||
\(577\) | − | 13.8945i | − | 0.578435i | −0.957263 | − | 0.289218i | \(-0.906605\pi\) | ||
0.957263 | − | 0.289218i | \(-0.0933951\pi\) | |||||||
\(578\) | −6.59028 | − | 3.80490i | −0.274120 | − | 0.158263i | ||||
\(579\) | −1.82041 | − | 7.04183i | −0.0756538 | − | 0.292649i | ||||
\(580\) | −5.76497 | + | 6.21057i | −0.239377 | + | 0.257880i | ||||
\(581\) | 6.09519 | + | 10.5572i | 0.252871 | + | 0.437986i | ||||
\(582\) | 3.16756 | − | 0.818859i | 0.131300 | − | 0.0339428i | ||||
\(583\) | 8.34751 | + | 4.81943i | 0.345718 | + | 0.199601i | ||||
\(584\) | −40.5116 | −1.67638 | ||||||||
\(585\) | 13.6132 | − | 14.1560i | 0.562838 | − | 0.585280i | ||||
\(586\) | −7.29621 | −0.301404 | ||||||||
\(587\) | −6.48110 | − | 3.74186i | −0.267504 | − | 0.154443i | 0.360249 | − | 0.932856i | \(-0.382692\pi\) |
−0.627753 | + | 0.778413i | \(0.716025\pi\) | |||||||
\(588\) | 0.701374 | + | 0.713862i | 0.0289242 | + | 0.0294392i | ||||
\(589\) | 6.71475 | + | 11.6303i | 0.276676 | + | 0.479218i | ||||
\(590\) | −2.44259 | − | 2.26733i | −0.100560 | − | 0.0933446i | ||||
\(591\) | −25.3738 | − | 7.03944i | −1.04374 | − | 0.289564i | ||||
\(592\) | 9.56332 | + | 5.52138i | 0.393050 | + | 0.226927i | ||||
\(593\) | − | 26.8374i | − | 1.10208i | −0.834479 | − | 0.551040i | \(-0.814231\pi\) | ||
0.834479 | − | 0.551040i | \(-0.185769\pi\) | |||||||
\(594\) | −7.12119 | + | 24.0151i | −0.292186 | + | 0.985350i | ||||
\(595\) | −2.14632 | − | 6.96334i | −0.0879906 | − | 0.285469i | ||||
\(596\) | 1.54019 | − | 2.66768i | 0.0630884 | − | 0.109272i | ||||
\(597\) | −5.84712 | + | 21.0761i | −0.239307 | + | 0.862586i | ||||
\(598\) | 26.1926 | − | 15.1223i | 1.07110 | − | 0.618397i | ||||
\(599\) | 23.0585 | + | 39.9385i | 0.942144 | + | 1.63184i | 0.761370 | + | 0.648317i | \(0.224527\pi\) |
0.180774 | + | 0.983525i | \(0.442140\pi\) | |||||||
\(600\) | −5.19104 | + | 26.1122i | −0.211923 | + | 1.06603i | ||||
\(601\) | −3.70152 | + | 6.41122i | −0.150988 | + | 0.261519i | −0.931591 | − | 0.363508i | \(-0.881579\pi\) |
0.780603 | + | 0.625027i | \(0.214912\pi\) | |||||||
\(602\) | 7.56489i | 0.308322i | ||||||||
\(603\) | 29.3628 | + | 0.518228i | 1.19574 | + | 0.0211039i | ||||
\(604\) | 6.52118 | 0.265343 | ||||||||
\(605\) | −11.6398 | − | 2.65925i | −0.473225 | − | 0.108114i | ||||
\(606\) | 9.93683 | + | 38.4383i | 0.403656 | + | 1.56145i | ||||
\(607\) | 29.0245 | − | 16.7573i | 1.17807 | − | 0.680157i | 0.222500 | − | 0.974933i | \(-0.428578\pi\) |
0.955567 | + | 0.294775i | \(0.0952448\pi\) | |||||||
\(608\) | 10.6600 | − | 6.15456i | 0.432321 | − | 0.249600i | ||||
\(609\) | 2.84330 | + | 10.9986i | 0.115216 | + | 0.445687i | ||||
\(610\) | −2.95905 | + | 12.9520i | −0.119808 | + | 0.524413i | ||||
\(611\) | 32.8564 | 1.32923 | ||||||||
\(612\) | 5.64761 | + | 0.0996757i | 0.228291 | + | 0.00402915i | ||||
\(613\) | − | 2.95377i | − | 0.119302i | −0.998219 | − | 0.0596508i | \(-0.981001\pi\) | ||
0.998219 | − | 0.0596508i | \(-0.0189987\pi\) | |||||||
\(614\) | −3.22490 | + | 5.58569i | −0.130146 | + | 0.225420i | ||||
\(615\) | −11.4452 | + | 21.1900i | −0.461517 | + | 0.854462i | ||||
\(616\) | 6.21327 | + | 10.7617i | 0.250340 | + | 0.433601i | ||||
\(617\) | 32.6188 | − | 18.8325i | 1.31318 | − | 0.758166i | 0.330560 | − | 0.943785i | \(-0.392762\pi\) |
0.982622 | + | 0.185619i | \(0.0594289\pi\) | |||||||
\(618\) | 8.52778 | − | 30.7386i | 0.343038 | − | 1.23649i | ||||
\(619\) | −17.9983 | + | 31.1739i | −0.723411 | + | 1.25298i | 0.236214 | + | 0.971701i | \(0.424093\pi\) |
−0.959625 | + | 0.281283i | \(0.909240\pi\) | |||||||
\(620\) | −1.30968 | − | 4.24901i | −0.0525979 | − | 0.170644i | ||||
\(621\) | 12.7965 | − | 43.1540i | 0.513505 | − | 1.73171i | ||||
\(622\) | − | 23.5599i | − | 0.944666i | ||||||
\(623\) | 3.98699 | + | 2.30189i | 0.159735 | + | 0.0922232i | ||||
\(624\) | −12.2676 | − | 3.40339i | −0.491097 | − | 0.136245i | ||||
\(625\) | −24.7239 | + | 3.70551i | −0.988954 | + | 0.148220i | ||||
\(626\) | 7.88129 | + | 13.6508i | 0.315000 | + | 0.545596i | ||||
\(627\) | 19.1478 | + | 19.4887i | 0.764690 | + | 0.778306i | ||||
\(628\) | 2.37133 | + | 1.36909i | 0.0946265 | + | 0.0546326i | ||||
\(629\) | 14.3333 | 0.571505 | ||||||||
\(630\) | 5.76630 | + | 5.54519i | 0.229735 | + | 0.220926i | ||||
\(631\) | 6.29101 | 0.250441 | 0.125221 | − | 0.992129i | \(-0.460036\pi\) | ||||
0.125221 | + | 0.992129i | \(0.460036\pi\) | |||||||
\(632\) | 11.3080 | + | 6.52867i | 0.449807 | + | 0.259696i | ||||
\(633\) | 5.95832 | − | 1.54031i | 0.236822 | − | 0.0612218i | ||||
\(634\) | 11.4460 | + | 19.8251i | 0.454580 | + | 0.787357i | ||||
\(635\) | 1.96504 | + | 1.82405i | 0.0779800 | + | 0.0723851i | ||||
\(636\) | 0.597273 | + | 2.31041i | 0.0236834 | + | 0.0916137i | ||||
\(637\) | −2.53546 | − | 1.46385i | −0.100459 | − | 0.0579998i | ||||
\(638\) | 31.6175i | 1.25175i | ||||||||
\(639\) | 23.7581 | + | 14.2816i | 0.939857 | + | 0.564971i | ||||
\(640\) | 8.90112 | − | 2.74361i | 0.351848 | − | 0.108451i | ||||
\(641\) | 18.9637 | − | 32.8460i | 0.749020 | − | 1.29734i | −0.199273 | − | 0.979944i | \(-0.563858\pi\) |
0.948293 | − | 0.317397i | \(-0.102809\pi\) | |||||||
\(642\) | −2.05556 | − | 2.09216i | −0.0811264 | − | 0.0825708i | ||||
\(643\) | −10.2039 | + | 5.89122i | −0.402402 | + | 0.232327i | −0.687520 | − | 0.726165i | \(-0.741301\pi\) |
0.285118 | + | 0.958493i | \(0.407967\pi\) | |||||||
\(644\) | −2.50253 | − | 4.33452i | −0.0986137 | − | 0.170804i | ||||
\(645\) | −0.696857 | − | 24.5579i | −0.0274387 | − | 0.966968i | ||||
\(646\) | −7.58249 | + | 13.1333i | −0.298329 | + | 0.516721i | ||||
\(647\) | 34.7373i | 1.36566i | 0.730575 | + | 0.682832i | \(0.239252\pi\) | ||||
−0.730575 | + | 0.682832i | \(0.760748\pi\) | |||||||
\(648\) | −24.4341 | + | 12.9797i | −0.959862 | + | 0.509890i | ||||
\(649\) | 5.05188 | 0.198303 | ||||||||
\(650\) | −1.29735 | − | 17.4091i | −0.0508864 | − | 0.682840i | ||||
\(651\) | −5.74381 | − | 1.59350i | −0.225118 | − | 0.0624542i | ||||
\(652\) | −7.64741 | + | 4.41523i | −0.299496 | + | 0.172914i | ||||
\(653\) | −36.5637 | + | 21.1100i | −1.43085 | + | 0.826100i | −0.997185 | − | 0.0749764i | \(-0.976112\pi\) |
−0.433661 | + | 0.901076i | \(0.642779\pi\) | |||||||
\(654\) | 7.28991 | − | 7.16239i | 0.285058 | − | 0.280071i | ||||
\(655\) | −26.5910 | − | 6.07504i | −1.03900 | − | 0.237371i | ||||
\(656\) | 15.6115 | 0.609528 | ||||||||
\(657\) | 20.3681 | − | 33.8833i | 0.794635 | − | 1.32191i | ||||
\(658\) | 13.3837i | 0.521751i | ||||||||
\(659\) | −5.03664 | + | 8.72372i | −0.196200 | + | 0.339828i | −0.947293 | − | 0.320368i | \(-0.896193\pi\) |
0.751093 | + | 0.660196i | \(0.229527\pi\) | |||||||
\(660\) | −4.74317 | − | 7.70226i | −0.184628 | − | 0.299810i | ||||
\(661\) | 8.24919 | + | 14.2880i | 0.320856 | + | 0.555740i | 0.980665 | − | 0.195694i | \(-0.0626960\pi\) |
−0.659809 | + | 0.751434i | \(0.729363\pi\) | |||||||
\(662\) | 35.6602 | − | 20.5884i | 1.38597 | − | 0.800192i | ||||
\(663\) | −15.9985 | + | 4.13585i | −0.621332 | + | 0.160623i | ||||
\(664\) | −18.7377 | + | 32.4547i | −0.727165 | + | 1.25949i | ||||
\(665\) | 8.33865 | − | 2.57024i | 0.323359 | − | 0.0996695i | ||||
\(666\) | −13.7649 | + | 7.62652i | −0.533379 | + | 0.295522i | ||||
\(667\) | − | 56.8153i | − | 2.19990i | ||||||
\(668\) | −2.86664 | − | 1.65506i | −0.110914 | − | 0.0640361i | ||||
\(669\) | −12.6879 | + | 12.4659i | −0.490542 | + | 0.481961i | ||||
\(670\) | 17.7593 | − | 19.1320i | 0.686103 | − | 0.739135i | ||||
\(671\) | −10.0695 | − | 17.4410i | −0.388731 | − | 0.673301i | ||||
\(672\) | −1.46056 | + | 5.26462i | −0.0563423 | + | 0.203087i | ||||
\(673\) | 39.0265 | + | 22.5320i | 1.50436 | + | 0.868544i | 0.999987 | + | 0.00505962i | \(0.00161053\pi\) |
0.504375 | + | 0.863485i | \(0.331723\pi\) | |||||||
\(674\) | −11.5296 | −0.444104 | ||||||||
\(675\) | −19.2300 | − | 17.4702i | −0.740162 | − | 0.672429i | ||||
\(676\) | 2.55879 | 0.0984151 | ||||||||
\(677\) | −30.0957 | − | 17.3758i | −1.15667 | − | 0.667805i | −0.206168 | − | 0.978517i | \(-0.566099\pi\) |
−0.950504 | + | 0.310712i | \(0.899433\pi\) | |||||||
\(678\) | −6.84376 | + | 24.6685i | −0.262833 | + | 0.947389i | ||||
\(679\) | 0.791954 | + | 1.37170i | 0.0303924 | + | 0.0526412i | ||||
\(680\) | 15.2395 | − | 16.4175i | 0.584410 | − | 0.629581i | ||||
\(681\) | −11.2494 | + | 11.0526i | −0.431077 | + | 0.423536i | ||||
\(682\) | −14.3672 | − | 8.29493i | −0.550150 | − | 0.317629i | ||||
\(683\) | 13.7295i | 0.525344i | 0.964885 | + | 0.262672i | \(0.0846038\pi\) | ||||
−0.964885 | + | 0.262672i | \(0.915396\pi\) | |||||||
\(684\) | −0.119362 | + | 6.76306i | −0.00456393 | + | 0.258592i | ||||
\(685\) | −22.2028 | + | 6.84360i | −0.848325 | + | 0.261481i | ||||
\(686\) | 0.596282 | − | 1.03279i | 0.0227662 | − | 0.0394321i | ||||
\(687\) | −49.2278 | + | 12.7261i | −1.87816 | + | 0.485530i | ||||
\(688\) | −13.7919 | + | 7.96278i | −0.525813 | + | 0.303578i | ||||
\(689\) | −3.49061 | − | 6.04592i | −0.132982 | − | 0.230331i | ||||
\(690\) | −20.9797 | − | 34.0682i | −0.798684 | − | 1.29695i | ||||
\(691\) | −19.4006 | + | 33.6028i | −0.738033 | + | 1.27831i | 0.215346 | + | 0.976538i | \(0.430912\pi\) |
−0.953380 | + | 0.301774i | \(0.902421\pi\) | |||||||
\(692\) | 3.12826i | 0.118919i | ||||||||
\(693\) | −12.1248 | − | 0.213993i | −0.460583 | − | 0.00812890i | ||||
\(694\) | 1.10875 | 0.0420876 | ||||||||
\(695\) | 12.4529 | + | 2.84502i | 0.472366 | + | 0.107918i | ||||
\(696\) | −24.9115 | + | 24.4757i | −0.944266 | + | 0.927748i | ||||
\(697\) | 17.5486 | − | 10.1317i | 0.664702 | − | 0.383766i | ||||
\(698\) | 32.7213 | − | 18.8917i | 1.23852 | − | 0.715061i | ||||
\(699\) | 27.0787 | + | 7.51243i | 1.02421 | + | 0.284146i | ||||
\(700\) | −2.88096 | + | 0.214694i | −0.108890 | + | 0.00811468i | ||||
\(701\) | 11.4854 | 0.433798 | 0.216899 | − | 0.976194i | \(-0.430406\pi\) | ||||
0.216899 | + | 0.976194i | \(0.430406\pi\) | |||||||
\(702\) | 13.1635 | − | 12.4844i | 0.496825 | − | 0.471195i | ||||
\(703\) | 17.1642i | 0.647360i | ||||||||
\(704\) | −17.7512 | + | 30.7461i | −0.669025 | + | 1.15879i | ||||
\(705\) | −1.23287 | − | 43.4475i | −0.0464325 | − | 1.63633i | ||||
\(706\) | 4.92829 | + | 8.53605i | 0.185479 | + | 0.321258i | ||||
\(707\) | −16.6456 | + | 9.61034i | −0.626022 | + | 0.361434i | ||||
\(708\) | 0.876560 | + | 0.892167i | 0.0329432 | + | 0.0335297i | ||||
\(709\) | 1.31096 | − | 2.27065i | 0.0492341 | − | 0.0852759i | −0.840358 | − | 0.542032i | \(-0.817655\pi\) |
0.889592 | + | 0.456756i | \(0.150989\pi\) | |||||||
\(710\) | 23.5469 | − | 7.25791i | 0.883701 | − | 0.272385i | ||||
\(711\) | −11.1458 | + | 6.17541i | −0.418001 | + | 0.231596i | ||||
\(712\) | 14.1528i | 0.530400i | ||||||||
\(713\) | 25.8173 | + | 14.9056i | 0.966866 | + | 0.558220i | ||||
\(714\) | −1.68469 | − | 6.51682i | −0.0630480 | − | 0.243886i | ||||
\(715\) | 19.3947 | + | 18.0031i | 0.725320 | + | 0.673280i | ||||
\(716\) | −3.40513 | − | 5.89785i | −0.127256 | − | 0.220413i | ||||
\(717\) | 27.5049 | − | 7.11041i | 1.02719 | − | 0.265543i | ||||
\(718\) | −17.3062 | − | 9.99174i | −0.645862 | − | 0.372888i | ||||
\(719\) | −36.5399 | −1.36271 | −0.681353 | − | 0.731955i | \(-0.738608\pi\) | ||||
−0.681353 | + | 0.731955i | \(0.738608\pi\) | |||||||
\(720\) | −4.04013 | + | 16.3497i | −0.150567 | + | 0.609317i | ||||
\(721\) | 15.4434 | 0.575142 | ||||||||
\(722\) | 3.89585 | + | 2.24927i | 0.144989 | + | 0.0837092i | ||||
\(723\) | −1.68734 | − | 1.71738i | −0.0627528 | − | 0.0638701i | ||||
\(724\) | 2.84228 | + | 4.92298i | 0.105633 | + | 0.182961i | ||||
\(725\) | −29.5405 | − | 14.2411i | −1.09711 | − | 0.528901i | ||||
\(726\) | −10.6280 | − | 2.94850i | −0.394440 | − | 0.109429i | ||||
\(727\) | 9.44506 | + | 5.45311i | 0.350298 | + | 0.202245i | 0.664817 | − | 0.747007i | \(-0.268510\pi\) |
−0.314519 | + | 0.949251i | \(0.601843\pi\) | |||||||
\(728\) | − | 9.00027i | − | 0.333572i | ||||||
\(729\) | 1.42877 | − | 26.9622i | 0.0529173 | − | 0.998599i | ||||
\(730\) | −10.3511 | − | 33.5821i | −0.383110 | − | 1.24293i | ||||
\(731\) | −10.3355 | + | 17.9016i | −0.382273 | + | 0.662116i | ||||
\(732\) | 1.33291 | − | 4.80451i | 0.0492658 | − | 0.177580i | ||||
\(733\) | −30.8217 | + | 17.7949i | −1.13843 | + | 0.657271i | −0.946041 | − | 0.324048i | \(-0.894956\pi\) |
−0.192386 | + | 0.981319i | \(0.561623\pi\) | |||||||
\(734\) | −2.39235 | − | 4.14367i | −0.0883031 | − | 0.152946i | ||||
\(735\) | −1.84057 | + | 3.40768i | −0.0678906 | + | 0.125694i | ||||
\(736\) | 13.6621 | − | 23.6635i | 0.503592 | − | 0.872247i | ||||
\(737\) | 39.5698i | 1.45757i | ||||||||
\(738\) | −11.4618 | + | 19.0673i | −0.421916 | + | 0.701878i | ||||
\(739\) | 44.8355 | 1.64930 | 0.824651 | − | 0.565642i | \(-0.191372\pi\) | ||||
0.824651 | + | 0.565642i | \(0.191372\pi\) | |||||||
\(740\) | 1.26568 | − | 5.54002i | 0.0465275 | − | 0.203655i | ||||
\(741\) | −4.95271 | − | 19.1584i | −0.181942 | − | 0.703800i | ||||
\(742\) | 2.46274 | − | 1.42186i | 0.0904099 | − | 0.0521982i | ||||
\(743\) | −40.8171 | + | 23.5658i | −1.49743 | + | 0.864544i | −0.999996 | − | 0.00295558i | \(-0.999059\pi\) |
−0.497438 | + | 0.867499i | \(0.665726\pi\) | |||||||
\(744\) | −4.58635 | − | 17.7412i | −0.168144 | − | 0.650424i | ||||
\(745\) | 11.6217 | + | 2.65512i | 0.425786 | + | 0.0972760i | ||||
\(746\) | 7.94537 | 0.290901 | ||||||||
\(747\) | −17.7238 | − | 31.9893i | −0.648481 | − | 1.17043i | ||||
\(748\) | 7.61083i | 0.278279i | ||||||||
\(749\) | 0.709967 | − | 1.22970i | 0.0259416 | − | 0.0449322i | ||||
\(750\) | −22.9721 | + | 2.36879i | −0.838823 | + | 0.0864958i | ||||
\(751\) | 8.89808 | + | 15.4119i | 0.324695 | + | 0.562389i | 0.981451 | − | 0.191715i | \(-0.0614048\pi\) |
−0.656755 | + | 0.754104i | \(0.728072\pi\) | |||||||
\(752\) | −24.4005 | + | 14.0876i | −0.889794 | + | 0.513723i | ||||
\(753\) | −6.02822 | + | 21.7289i | −0.219680 | + | 0.791844i | ||||
\(754\) | 11.4500 | − | 19.8319i | 0.416983 | − | 0.722235i | ||||
\(755\) | 7.43378 | + | 24.1175i | 0.270543 | + | 0.877726i | ||||
\(756\) | −2.06600 | − | 2.17838i | −0.0751398 | − | 0.0792270i | ||||
\(757\) | 54.7392i | 1.98953i | 0.102192 | + | 0.994765i | \(0.467414\pi\) | ||||
−0.102192 | + | 0.994765i | \(0.532586\pi\) | |||||||
\(758\) | 17.5417 | + | 10.1277i | 0.637145 | + | 0.367856i | ||||
\(759\) | 58.4413 | + | 16.2133i | 2.12129 | + | 0.588506i | ||||
\(760\) | 19.6600 | + | 18.2495i | 0.713145 | + | 0.661978i | ||||
\(761\) | −16.4392 | − | 28.4735i | −0.595921 | − | 1.03217i | −0.993416 | − | 0.114561i | \(-0.963454\pi\) |
0.397495 | − | 0.917604i | \(-0.369880\pi\) | |||||||
\(762\) | 1.73578 | + | 1.76669i | 0.0628808 | + | 0.0640004i | ||||
\(763\) | 4.28476 | + | 2.47381i | 0.155119 | + | 0.0895579i | ||||
\(764\) | 7.62835 | 0.275984 | ||||||||
\(765\) | 6.06933 | + | 21.0004i | 0.219437 | + | 0.759271i | ||||
\(766\) | −10.3953 | −0.375597 | ||||||||
\(767\) | −3.16876 | − | 1.82948i | −0.114417 | − | 0.0660588i | ||||
\(768\) | −21.1262 | + | 5.46141i | −0.762325 | + | 0.197072i | ||||
\(769\) | −10.5703 | − | 18.3083i | −0.381175 | − | 0.660215i | 0.610055 | − | 0.792359i | \(-0.291147\pi\) |
−0.991231 | + | 0.132144i | \(0.957814\pi\) | |||||||
\(770\) | −7.33338 | + | 7.90021i | −0.264277 | + | 0.284704i | ||||
\(771\) | −2.62876 | − | 10.1687i | −0.0946724 | − | 0.366218i | ||||
\(772\) | 2.10123 | + | 1.21315i | 0.0756249 | + | 0.0436621i | ||||
\(773\) | 28.7144i | 1.03278i | 0.856352 | + | 0.516392i | \(0.172725\pi\) | ||||
−0.856352 | + | 0.516392i | \(0.827275\pi\) | |||||||
\(774\) | 0.400480 | − | 22.6911i | 0.0143950 | − | 0.815616i | ||||
\(775\) | 14.2213 | − | 9.68726i | 0.510844 | − | 0.347977i | ||||
\(776\) | −2.43461 | + | 4.21687i | −0.0873974 | + | 0.151377i | ||||
\(777\) | −5.33929 | − | 5.43436i | −0.191546 | − | 0.194957i | ||||
\(778\) | −20.7802 | + | 11.9975i | −0.745008 | + | 0.430130i | ||||
\(779\) | 12.1328 | + | 21.0146i | 0.434703 | + | 0.752927i | ||||
\(780\) | 0.185831 | + | 6.54889i | 0.00665383 | + | 0.234488i | ||||
\(781\) | −18.6753 | + | 32.3465i | −0.668253 | + | 1.15745i | ||||
\(782\) | 33.6638i | 1.20381i | ||||||||
\(783\) | −7.94632 | − | 33.1413i | −0.283978 | − | 1.18437i | ||||
\(784\) | 2.51058 | 0.0896635 | ||||||||
\(785\) | −2.36017 | + | 10.3307i | −0.0842380 | + | 0.368717i | ||||
\(786\) | −24.2795 | − | 6.73583i | −0.866020 | − | 0.240259i | ||||
\(787\) | 17.0525 | − | 9.84527i | 0.607856 | − | 0.350946i | −0.164270 | − | 0.986415i | \(-0.552527\pi\) |
0.772126 | + | 0.635469i | \(0.219193\pi\) | |||||||
\(788\) | 7.60725 | − | 4.39205i | 0.270997 | − | 0.156460i | ||||
\(789\) | −33.8101 | + | 33.2187i | −1.20367 | + | 1.18262i | ||||
\(790\) | −2.52266 | + | 11.0419i | −0.0897521 | + | 0.392853i | ||||
\(791\) | −12.3937 | −0.440670 | ||||||||
\(792\) | −18.0672 | − | 32.6090i | −0.641989 | − | 1.15871i | ||||
\(793\) | 14.5863i | 0.517975i | ||||||||
\(794\) | 17.4542 | − | 30.2316i | 0.619427 | − | 1.07288i | ||||
\(795\) | −7.86381 | + | 4.84265i | −0.278901 | + | 0.171751i | ||||
\(796\) | −3.64813 | − | 6.31875i | −0.129305 | − | 0.223962i | ||||
\(797\) | 6.19641 | − | 3.57750i | 0.219488 | − | 0.126721i | −0.386225 | − | 0.922405i | \(-0.626221\pi\) |
0.605713 | + | 0.795683i | \(0.292888\pi\) | |||||||
\(798\) | 7.80394 | − | 2.01743i | 0.276257 | − | 0.0714162i | ||||
\(799\) | −18.2854 | + | 31.6713i | −0.646892 | + | 1.12045i | ||||
\(800\) | −8.87909 | − | 13.0349i | −0.313923 | − | 0.460852i | ||||
\(801\) | −11.8372 | − | 7.11566i | −0.418248 | − | 0.251419i | ||||
\(802\) | 5.23384i | 0.184813i | ||||||||
\(803\) | 46.1318 | + | 26.6342i | 1.62796 | + | 0.939902i | ||||
\(804\) | −6.98807 | + | 6.86583i | −0.246450 | + | 0.242139i | ||||
\(805\) | 13.1778 | − | 14.1963i | 0.464455 | − | 0.500355i | ||||
\(806\) | 6.00784 | + | 10.4059i | 0.211617 | + | 0.366532i | ||||
\(807\) | 8.62485 | − | 31.0885i | 0.303609 | − | 1.09437i | ||||
\(808\) | −51.1716 | − | 29.5439i | −1.80021 | − | 1.03935i | ||||
\(809\) | 8.45266 | 0.297180 | 0.148590 | − | 0.988899i | \(-0.452527\pi\) | ||||
0.148590 | + | 0.988899i | \(0.452527\pi\) | |||||||
\(810\) | −17.0027 | − | 16.9383i | −0.597412 | − | 0.595150i | ||||
\(811\) | 32.5014 | 1.14128 | 0.570640 | − | 0.821201i | \(-0.306695\pi\) | ||||
0.570640 | + | 0.821201i | \(0.306695\pi\) | |||||||
\(812\) | −3.28191 | − | 1.89481i | −0.115172 | − | 0.0664948i | ||||
\(813\) | −7.79474 | + | 28.0963i | −0.273373 | + | 0.985382i | ||||
\(814\) | −10.6017 | − | 18.3627i | −0.371590 | − | 0.643613i | ||||
\(815\) | −25.0466 | − | 23.2496i | −0.877345 | − | 0.814397i | ||||
\(816\) | 10.1079 | − | 9.93103i | 0.353846 | − | 0.347656i | ||||
\(817\) | −21.4373 | − | 12.3768i | −0.749997 | − | 0.433011i | ||||
\(818\) | − | 4.62619i | − | 0.161751i | ||||||
\(819\) | 7.52770 | + | 4.52509i | 0.263039 | + | 0.158119i | ||||
\(820\) | −2.36644 | − | 7.67748i | −0.0826397 | − | 0.268109i | ||||
\(821\) | 18.6761 | − | 32.3479i | 0.651799 | − | 1.12895i | −0.330887 | − | 0.943670i | \(-0.607348\pi\) |
0.982686 | − | 0.185278i | \(-0.0593186\pi\) | |||||||
\(822\) | −20.7791 | + | 5.37168i | −0.724753 | + | 0.187359i | ||||
\(823\) | 32.7571 | − | 18.9123i | 1.14184 | − | 0.659243i | 0.194956 | − | 0.980812i | \(-0.437544\pi\) |
0.946886 | + | 0.321569i | \(0.104210\pi\) | |||||||
\(824\) | 23.7379 | + | 41.1153i | 0.826949 | + | 1.43232i | ||||
\(825\) | 23.0786 | − | 26.3220i | 0.803494 | − | 0.916414i | ||||
\(826\) | 0.745219 | − | 1.29076i | 0.0259295 | − | 0.0449112i | ||||
\(827\) | − | 9.34608i | − | 0.324995i | −0.986709 | − | 0.162498i | \(-0.948045\pi\) | ||
0.986709 | − | 0.162498i | \(-0.0519549\pi\) | |||||||
\(828\) | 7.27697 | + | 13.1340i | 0.252892 | + | 0.456438i | ||||
\(829\) | −22.4253 | −0.778862 | −0.389431 | − | 0.921056i | \(-0.627328\pi\) | ||||
−0.389431 | + | 0.921056i | \(0.627328\pi\) | |||||||
\(830\) | −31.6910 | − | 7.24020i | −1.10001 | − | 0.251311i | ||||
\(831\) | 21.9069 | − | 21.5237i | 0.759941 | − | 0.746647i | ||||
\(832\) | 22.2687 | − | 12.8568i | 0.772029 | − | 0.445731i | ||||
\(833\) | 2.82210 | − | 1.62934i | 0.0977798 | − | 0.0564532i | ||||
\(834\) | 11.3704 | + | 3.15448i | 0.393724 | + | 0.109231i | ||||
\(835\) | 2.85314 | − | 12.4885i | 0.0987371 | − | 0.432182i | ||||
\(836\) | −9.11402 | −0.315215 | ||||||||
\(837\) | 17.1444 | + | 5.08383i | 0.592597 | + | 0.175723i | ||||
\(838\) | 27.2837i | 0.942499i | ||||||||
\(839\) | −22.9325 | + | 39.7203i | −0.791718 | + | 1.37130i | 0.133184 | + | 0.991091i | \(0.457480\pi\) |
−0.924902 | + | 0.380205i | \(0.875853\pi\) | |||||||
\(840\) | −11.9015 | + | 0.337716i | −0.410639 | + | 0.0116523i | ||||
\(841\) | −7.00904 | − | 12.1400i | −0.241691 | − | 0.418621i | ||||
\(842\) | 18.7612 | − | 10.8318i | 0.646554 | − | 0.373288i | ||||
\(843\) | 35.6224 | + | 36.2567i | 1.22690 | + | 1.24875i | ||||
\(844\) | −1.02648 | + | 1.77792i | −0.0353330 | + | 0.0611985i | ||||
\(845\) | 2.91688 | + | 9.46327i | 0.100344 | + | 0.325547i | ||||
\(846\) | 0.708523 | − | 40.1448i | 0.0243595 | − | 1.38021i | ||||
\(847\) | − | 5.33959i | − | 0.183471i | ||||||
\(848\) | 5.18453 | + | 2.99329i | 0.178038 | + | 0.102790i | ||||
\(849\) | 7.54886 | + | 29.2010i | 0.259076 | + | 1.00217i | ||||
\(850\) | 17.5031 | + | 8.43803i | 0.600352 | + | 0.289422i | ||||
\(851\) | 19.0508 | + | 32.9970i | 0.653054 | + | 1.13112i | ||||
\(852\) | −8.95281 | + | 2.31443i | −0.306718 | + | 0.0792910i | ||||
\(853\) | 16.9551 | + | 9.78905i | 0.580533 | + | 0.335171i | 0.761345 | − | 0.648347i | \(-0.224539\pi\) |
−0.180812 | + | 0.983518i | \(0.557873\pi\) | |||||||
\(854\) | −5.94157 | −0.203316 | ||||||||
\(855\) | −25.1481 | + | 7.26806i | −0.860048 | + | 0.248563i | ||||
\(856\) | 4.36513 | 0.149197 | ||||||||
\(857\) | −21.1551 | − | 12.2139i | −0.722646 | − | 0.417220i | 0.0930797 | − | 0.995659i | \(-0.470329\pi\) |
−0.815726 | + | 0.578439i | \(0.803662\pi\) | |||||||
\(858\) | 17.1320 | + | 17.4370i | 0.584877 | + | 0.595291i | ||||
\(859\) | −20.8624 | − | 36.1348i | −0.711817 | − | 1.23290i | −0.964174 | − | 0.265270i | \(-0.914539\pi\) |
0.252357 | − | 0.967634i | \(-0.418794\pi\) | |||||||
\(860\) | 6.00658 | + | 5.57561i | 0.204823 | + | 0.190127i | ||||
\(861\) | −10.3784 | − | 2.87927i | −0.353696 | − | 0.0981254i | ||||
\(862\) | 11.4532 | + | 6.61251i | 0.390098 | + | 0.225223i | ||||
\(863\) | 14.4518i | 0.491946i | 0.969277 | + | 0.245973i | \(0.0791075\pi\) | ||||
−0.969277 | + | 0.245973i | \(0.920892\pi\) | |||||||
\(864\) | 4.65970 | − | 15.7141i | 0.158526 | − | 0.534604i | ||||
\(865\) | −11.5694 | + | 3.56604i | −0.393370 | + | 0.121249i | ||||
\(866\) | 11.6060 | − | 20.1021i | 0.394387 | − | 0.683099i | ||||
\(867\) | −2.95463 | + | 10.6500i | −0.100344 | + | 0.361694i | ||||
\(868\) | 1.72203 | − | 0.994216i | 0.0584496 | − | 0.0337459i | ||||
\(869\) | −8.58452 | − | 14.8688i | −0.291210 | − | 0.504390i | ||||
\(870\) | −26.6542 | − | 14.3966i | −0.903663 | − | 0.488091i | ||||
\(871\) | 14.3298 | − | 24.8199i | 0.485546 | − | 0.840990i | ||||
\(872\) | 15.2099i | 0.515071i | ||||||||
\(873\) | −2.30288 | − | 4.15640i | −0.0779405 | − | 0.140673i | ||||
\(874\) | −40.3126 | −1.36359 | ||||||||
\(875\) | −4.07815 | − | 10.4100i | −0.137867 | − | 0.351923i | ||||
\(876\) | 3.30078 | + | 12.7683i | 0.111523 | + | 0.431401i | ||||
\(877\) | 12.3359 | − | 7.12212i | 0.416553 | − | 0.240497i | −0.277049 | − | 0.960856i | \(-0.589356\pi\) |
0.693601 | + | 0.720359i | \(0.256023\pi\) | |||||||
\(878\) | −2.70886 | + | 1.56396i | −0.0914197 | + | 0.0527812i | ||||
\(879\) | 2.65224 | + | 10.2596i | 0.0894578 | + | 0.346046i | ||||
\(880\) | −22.1223 | − | 5.05412i | −0.745744 | − | 0.170374i | ||||
\(881\) | 6.84632 | 0.230658 | 0.115329 | − | 0.993327i | \(-0.463208\pi\) | ||||
0.115329 | + | 0.993327i | \(0.463208\pi\) | |||||||
\(882\) | −1.84324 | + | 3.06632i | −0.0620652 | + | 0.103248i | ||||
\(883\) | − | 34.7167i | − | 1.16831i | −0.811642 | − | 0.584155i | \(-0.801426\pi\) | ||
0.811642 | − | 0.584155i | \(-0.198574\pi\) | |||||||
\(884\) | 2.75618 | − | 4.77384i | 0.0927004 | − | 0.160562i | ||||
\(885\) | −2.30031 | + | 4.25884i | −0.0773239 | + | 0.143159i | ||||
\(886\) | 7.08460 | + | 12.2709i | 0.238012 | + | 0.412248i | ||||
\(887\) | 23.0060 | − | 13.2825i | 0.772466 | − | 0.445984i | −0.0612873 | − | 0.998120i | \(-0.519521\pi\) |
0.833754 | + | 0.552136i | \(0.186187\pi\) | |||||||
\(888\) | 6.26102 | − | 22.5680i | 0.210106 | − | 0.757332i | ||||
\(889\) | −0.599521 | + | 1.03840i | −0.0201073 | + | 0.0348268i | ||||
\(890\) | −11.7320 | + | 3.61618i | −0.393258 | + | 0.121215i | ||||
\(891\) | 36.3574 | + | 1.28376i | 1.21802 | + | 0.0430074i | ||||
\(892\) | − | 5.93356i | − | 0.198670i | ||||||
\(893\) | −37.9266 | − | 21.8969i | −1.26917 | − | 0.732753i | ||||
\(894\) | 10.6114 | + | 2.94392i | 0.354899 | + | 0.0984594i | ||||
\(895\) | 17.9306 | − | 19.3165i | 0.599354 | − | 0.645680i | ||||
\(896\) | 2.08275 | + | 3.60743i | 0.0695799 | + | 0.120516i | ||||
\(897\) | −30.7855 | − | 31.3336i | −1.02790 | − | 1.04620i | ||||
\(898\) | 20.9001 | + | 12.0667i | 0.697446 | + | 0.402671i | ||||
\(899\) | 22.5718 | 0.752811 | ||||||||
\(900\) | 8.65291 | − | 0.491466i | 0.288430 | − | 0.0163822i | ||||
\(901\) | 7.77045 | 0.258871 | ||||||||
\(902\) | −25.9600 | − | 14.9880i | −0.864374 | − | 0.499046i | ||||
\(903\) | 10.6374 | − | 2.74991i | 0.353989 | − | 0.0915112i | ||||
\(904\) | −19.0503 | − | 32.9960i | −0.633603 | − | 1.09743i | ||||
\(905\) | −14.9668 | + | 16.1236i | −0.497513 | + | 0.535968i | ||||
\(906\) | 5.83492 | + | 22.5710i | 0.193852 | + | 0.749871i | ||||
\(907\) | 44.7576 | + | 25.8408i | 1.48615 | + | 0.858029i | 0.999876 | − | 0.0157765i | \(-0.00502202\pi\) |
0.486275 | + | 0.873806i | \(0.338355\pi\) | |||||||
\(908\) | − | 5.26084i | − | 0.174587i | ||||||
\(909\) | 50.4378 | − | 27.9453i | 1.67292 | − | 0.926888i | ||||
\(910\) | 7.46079 | − | 2.29965i | 0.247323 | − | 0.0762327i | ||||
\(911\) | 12.5192 | − | 21.6839i | 0.414779 | − | 0.718419i | −0.580626 | − | 0.814170i | \(-0.697192\pi\) |
0.995405 | + | 0.0957518i | \(0.0305255\pi\) | |||||||
\(912\) | 11.8925 | + | 12.1042i | 0.393799 | + | 0.400811i | ||||
\(913\) | 42.6745 | − | 24.6381i | 1.41232 | − | 0.815404i | ||||
\(914\) | −17.7416 | − | 30.7293i | −0.586839 | − | 1.01643i | ||||
\(915\) | 19.2881 | − | 0.547321i | 0.637646 | − | 0.0180939i | ||||
\(916\) | 8.48081 | − | 14.6892i | 0.280214 | − | 0.485345i | ||||
\(917\) | − | 12.1983i | − | 0.402822i | ||||||
\(918\) | 4.70829 | + | 19.6366i | 0.155397 | + | 0.648105i | ||||
\(919\) | 32.0840 | 1.05836 | 0.529178 | − | 0.848511i | \(-0.322501\pi\) | ||||
0.529178 | + | 0.848511i | \(0.322501\pi\) | |||||||
\(920\) | 58.0505 | + | 13.2623i | 1.91387 | + | 0.437247i | ||||
\(921\) | 9.02660 | + | 2.50424i | 0.297437 | + | 0.0825175i | ||||
\(922\) | 13.2209 | − | 7.63307i | 0.435406 | − | 0.251382i | ||||
\(923\) | 23.4279 | − | 13.5261i | 0.771138 | − | 0.445217i | ||||
\(924\) | 2.88559 | − | 2.83511i | 0.0949290 | − | 0.0932684i | ||||
\(925\) | 21.9317 | − | 1.63438i | 0.721109 | − | 0.0537382i | ||||
\(926\) | −29.7814 | −0.978678 | ||||||||
\(927\) | −46.3230 | − | 0.817563i | −1.52145 | − | 0.0268523i | ||||
\(928\) | − | 20.6887i | − | 0.679140i | ||||||
\(929\) | −5.41000 | + | 9.37039i | −0.177496 | + | 0.307433i | −0.941022 | − | 0.338344i | \(-0.890133\pi\) |
0.763526 | + | 0.645777i | \(0.223466\pi\) | |||||||
\(930\) | 13.5347 | − | 8.33490i | 0.443822 | − | 0.273312i | ||||
\(931\) | 1.95114 | + | 3.37948i | 0.0639461 | + | 0.110758i | ||||
\(932\) | −8.11839 | + | 4.68715i | −0.265927 | + | 0.153533i | ||||
\(933\) | −33.1287 | + | 8.56425i | −1.08459 | + | 0.280381i | ||||
\(934\) | 0.896217 | − | 1.55229i | 0.0293251 | − | 0.0507926i | ||||
\(935\) | −28.1474 | + | 8.67592i | −0.920518 | + | 0.283733i | ||||
\(936\) | −0.476468 | + | 26.9966i | −0.0155738 | + | 0.882412i | ||||
\(937\) | 12.4877i | 0.407956i | 0.978975 | + | 0.203978i | \(0.0653871\pi\) | ||||
−0.978975 | + | 0.203978i | \(0.934613\pi\) | |||||||
\(938\) | 10.1101 | + | 5.83707i | 0.330107 | + | 0.190587i | ||||
\(939\) | 16.3301 | − | 16.0445i | 0.532914 | − | 0.523591i | ||||
\(940\) | 10.6267 | + | 9.86429i | 0.346606 | + | 0.321738i | ||||
\(941\) | −10.6230 | − | 18.3995i | −0.346299 | − | 0.599807i | 0.639290 | − | 0.768966i | \(-0.279228\pi\) |
−0.985589 | + | 0.169159i | \(0.945895\pi\) | |||||||
\(942\) | −2.61689 | + | 9.43263i | −0.0852628 | + | 0.307332i | ||||
\(943\) | 46.6490 | + | 26.9328i | 1.51910 | + | 0.877053i | ||||
\(944\) | 3.13766 | 0.102122 | ||||||||
\(945\) | 5.70126 | − | 10.1240i | 0.185462 | − | 0.329334i | ||||
\(946\) | 30.5790 | 0.994209 | ||||||||
\(947\) | −33.7201 | − | 19.4683i | −1.09576 | − | 0.632636i | −0.160654 | − | 0.987011i | \(-0.551360\pi\) |
−0.935103 | + | 0.354375i | \(0.884694\pi\) | |||||||
\(948\) | 1.13634 | − | 4.09595i | 0.0369065 | − | 0.133030i | ||||
\(949\) | −19.2906 | − | 33.4123i | −0.626200 | − | 1.08461i | ||||
\(950\) | −10.1046 | + | 20.9601i | −0.327836 | + | 0.680036i | ||||
\(951\) | 23.7163 | − | 23.3015i | 0.769055 | − | 0.755602i | ||||
\(952\) | 8.67563 | + | 5.00888i | 0.281179 | + | 0.162339i | ||||
\(953\) | 9.56336i | 0.309788i | 0.987931 | + | 0.154894i | \(0.0495036\pi\) | ||||
−0.987931 | + | 0.154894i | \(0.950496\pi\) | |||||||
\(954\) | −7.46233 | + | 4.13454i | −0.241602 | + | 0.133861i | ||||
\(955\) | 8.69589 | + | 28.2122i | 0.281392 | + | 0.912925i | ||||
\(956\) | −4.73846 | + | 8.20726i | −0.153253 | + | 0.265442i | ||||
\(957\) | 44.4590 | − | 11.4933i | 1.43715 | − | 0.371525i | ||||
\(958\) | −13.2843 | + | 7.66969i | −0.429196 | + | 0.247796i | ||||
\(959\) | −5.19519 | − | 8.99833i | −0.167761 | − | 0.290571i | ||||
\(960\) | −17.8368 | − | 28.9645i | −0.575679 | − | 0.934824i | ||||
\(961\) | 9.57824 | − | 16.5900i | 0.308975 | − | 0.535161i | ||||
\(962\) | 15.3572i | 0.495136i | ||||||||
\(963\) | −2.19467 | + | 3.65094i | −0.0707222 | + | 0.117650i | ||||
\(964\) | 0.803143 | 0.0258675 | ||||||||
\(965\) | −2.09134 | + | 9.15397i | −0.0673225 | + | 0.294677i | ||||
\(966\) | 12.7634 | − | 12.5401i | 0.410655 | − | 0.403471i | ||||
\(967\) | 3.17303 | − | 1.83195i | 0.102038 | − | 0.0589116i | −0.448113 | − | 0.893977i | \(-0.647904\pi\) |
0.550151 | + | 0.835066i | \(0.314570\pi\) | |||||||
\(968\) | 14.2157 | − | 8.20744i | 0.456910 | − | 0.263797i | ||||
\(969\) | 21.2236 | + | 5.88805i | 0.681801 | + | 0.189151i | ||||
\(970\) | −4.11764 | − | 0.940726i | −0.132210 | − | 0.0302049i | ||||
\(971\) | −42.0771 | −1.35032 | −0.675159 | − | 0.737672i | \(-0.735925\pi\) | ||||
−0.675159 | + | 0.737672i | \(0.735925\pi\) | |||||||
\(972\) | 6.08172 | + | 6.64350i | 0.195071 | + | 0.213090i | ||||
\(973\) | 5.71260i | 0.183138i | ||||||||
\(974\) | −9.01461 | + | 15.6138i | −0.288847 | + | 0.500297i | ||||
\(975\) | −24.0081 | + | 8.15263i | −0.768876 | + | 0.261093i | ||||
\(976\) | −6.25407 | − | 10.8324i | −0.200188 | − | 0.346736i | ||||
\(977\) | −11.5743 | + | 6.68243i | −0.370295 | + | 0.213790i | −0.673587 | − | 0.739108i | \(-0.735247\pi\) |
0.303292 | + | 0.952898i | \(0.401914\pi\) | |||||||
\(978\) | −22.1246 | − | 22.5185i | −0.707465 | − | 0.720062i | ||||
\(979\) | 9.30475 | − | 16.1163i | 0.297381 | − | 0.515079i | ||||
\(980\) | −0.380561 | − | 1.23466i | −0.0121566 | − | 0.0394397i | ||||
\(981\) | −12.7213 | − | 7.64711i | −0.406161 | − | 0.244153i | ||||
\(982\) | − | 28.1089i | − | 0.896992i | ||||||
\(983\) | 18.7616 | + | 10.8320i | 0.598401 | + | 0.345487i | 0.768412 | − | 0.639955i | \(-0.221047\pi\) |
−0.170011 | + | 0.985442i | \(0.554380\pi\) | |||||||
\(984\) | −8.28702 | − | 32.0564i | −0.264181 | − | 1.02192i | ||||
\(985\) | 24.9151 | + | 23.1275i | 0.793861 | + | 0.736903i | ||||
\(986\) | 12.7444 | + | 22.0739i | 0.405863 | + | 0.702976i | ||||
\(987\) | 18.8195 | − | 4.86510i | 0.599030 | − | 0.154858i | ||||
\(988\) | 5.71671 | + | 3.30055i | 0.181873 | + | 0.105004i | ||||
\(989\) | −54.9491 | −1.74728 | ||||||||
\(990\) | 22.4149 | − | 23.3087i | 0.712393 | − | 0.740799i | ||||
\(991\) | −34.3470 | −1.09107 | −0.545534 | − | 0.838089i | \(-0.683673\pi\) | ||||
−0.545534 | + | 0.838089i | \(0.683673\pi\) | |||||||
\(992\) | 9.40111 | + | 5.42773i | 0.298486 | + | 0.172331i | ||||
\(993\) | −41.9132 | − | 42.6595i | −1.33008 | − | 1.35376i | ||||
\(994\) | 5.50970 | + | 9.54308i | 0.174757 | + | 0.302688i | ||||
\(995\) | 19.2102 | − | 20.6950i | 0.609004 | − | 0.656077i | ||||
\(996\) | 11.7557 | + | 3.26136i | 0.372492 | + | 0.103340i | ||||
\(997\) | 2.76981 | + | 1.59915i | 0.0877208 | + | 0.0506456i | 0.543219 | − | 0.839591i | \(-0.317205\pi\) |
−0.455498 | + | 0.890237i | \(0.650539\pi\) | |||||||
\(998\) | 40.6287i | 1.28608i | ||||||||
\(999\) | 15.7277 | + | 16.5832i | 0.497602 | + | 0.524669i |
(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 | 315.2.bh.c.169.11 | ✓ | 64 | |
3.2 | odd | 2 | 945.2.bh.c.694.22 | 64 | |||
5.4 | even | 2 | inner | 315.2.bh.c.169.22 | yes | 64 | |
9.4 | even | 3 | inner | 315.2.bh.c.274.22 | yes | 64 | |
9.5 | odd | 6 | 945.2.bh.c.64.11 | 64 | |||
15.14 | odd | 2 | 945.2.bh.c.694.11 | 64 | |||
45.4 | even | 6 | inner | 315.2.bh.c.274.11 | yes | 64 | |
45.14 | odd | 6 | 945.2.bh.c.64.22 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bh.c.169.11 | ✓ | 64 | 1.1 | even | 1 | trivial | |
315.2.bh.c.169.22 | yes | 64 | 5.4 | even | 2 | inner | |
315.2.bh.c.274.11 | yes | 64 | 45.4 | even | 6 | inner | |
315.2.bh.c.274.22 | yes | 64 | 9.4 | even | 3 | inner | |
945.2.bh.c.64.11 | 64 | 9.5 | odd | 6 | |||
945.2.bh.c.64.22 | 64 | 45.14 | odd | 6 | |||
945.2.bh.c.694.11 | 64 | 15.14 | odd | 2 | |||
945.2.bh.c.694.22 | 64 | 3.2 | odd | 2 |