Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(11,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.s (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 107.23 | ||
Character | \(\chi\) | \(=\) | 192.107 |
Dual form | 192.2.s.a.131.23 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.970489 | − | 1.02866i | 0.686239 | − | 0.727376i | ||||
\(3\) | 0.440430 | − | 1.67512i | 0.254282 | − | 0.967130i | ||||
\(4\) | −0.116302 | − | 1.99662i | −0.0581512 | − | 0.998308i | ||||
\(5\) | −0.178911 | − | 0.267760i | −0.0800115 | − | 0.119746i | 0.789305 | − | 0.614001i | \(-0.210441\pi\) |
−0.869317 | + | 0.494255i | \(0.835441\pi\) | |||||||
\(6\) | −1.29570 | − | 2.07874i | −0.528968 | − | 0.848642i | ||||
\(7\) | −0.862708 | + | 2.08276i | −0.326073 | + | 0.787210i | 0.672803 | + | 0.739821i | \(0.265090\pi\) |
−0.998877 | + | 0.0473887i | \(0.984910\pi\) | |||||||
\(8\) | −2.16672 | − | 1.81806i | −0.766051 | − | 0.642780i | ||||
\(9\) | −2.61204 | − | 1.47555i | −0.870681 | − | 0.491848i | ||||
\(10\) | −0.449066 | − | 0.0758180i | −0.142007 | − | 0.0239758i | ||||
\(11\) | 1.97179 | + | 0.392214i | 0.594519 | + | 0.118257i | 0.483173 | − | 0.875525i | \(-0.339484\pi\) |
0.111345 | + | 0.993782i | \(0.464484\pi\) | |||||||
\(12\) | −3.39579 | − | 0.684550i | −0.980280 | − | 0.197612i | ||||
\(13\) | 5.61756 | + | 3.75354i | 1.55803 | + | 1.04104i | 0.973220 | + | 0.229874i | \(0.0738315\pi\) |
0.584812 | + | 0.811169i | \(0.301168\pi\) | |||||||
\(14\) | 1.30521 | + | 2.90873i | 0.348833 | + | 0.777392i | ||||
\(15\) | −0.527327 | + | 0.181768i | −0.136155 | + | 0.0469323i | ||||
\(16\) | −3.97295 | + | 0.464422i | −0.993237 | + | 0.116106i | ||||
\(17\) | 1.92631 | + | 1.92631i | 0.467198 | + | 0.467198i | 0.901006 | − | 0.433808i | \(-0.142830\pi\) |
−0.433808 | + | 0.901006i | \(0.642830\pi\) | |||||||
\(18\) | −4.05280 | + | 1.25492i | −0.955254 | + | 0.295786i | ||||
\(19\) | −3.54040 | − | 2.36562i | −0.812223 | − | 0.542710i | 0.0786817 | − | 0.996900i | \(-0.474929\pi\) |
−0.890905 | + | 0.454189i | \(0.849929\pi\) | |||||||
\(20\) | −0.513805 | + | 0.388358i | −0.114890 | + | 0.0868395i | ||||
\(21\) | 3.10891 | + | 2.36245i | 0.678420 | + | 0.515529i | ||||
\(22\) | 2.31706 | − | 1.64768i | 0.493999 | − | 0.351286i | ||||
\(23\) | −2.19377 | − | 5.29622i | −0.457432 | − | 1.10434i | −0.969434 | − | 0.245354i | \(-0.921096\pi\) |
0.512002 | − | 0.858984i | \(-0.328904\pi\) | |||||||
\(24\) | −3.99975 | + | 2.82878i | −0.816445 | + | 0.577423i | ||||
\(25\) | 1.87373 | − | 4.52359i | 0.374746 | − | 0.904717i | ||||
\(26\) | 9.31291 | − | 2.13582i | 1.82641 | − | 0.418870i | ||||
\(27\) | −3.62213 | + | 3.72561i | −0.697080 | + | 0.716993i | ||||
\(28\) | 4.25881 | + | 1.48027i | 0.804839 | + | 0.279744i | ||||
\(29\) | 1.06153 | + | 5.33669i | 0.197122 | + | 0.990998i | 0.944977 | + | 0.327136i | \(0.106084\pi\) |
−0.747856 | + | 0.663862i | \(0.768916\pi\) | |||||||
\(30\) | −0.324786 | + | 0.718846i | −0.0592976 | + | 0.131243i | ||||
\(31\) | 4.81722 | 0.865199 | 0.432599 | − | 0.901586i | \(-0.357596\pi\) | ||||
0.432599 | + | 0.901586i | \(0.357596\pi\) | |||||||
\(32\) | −3.37797 | + | 4.53755i | −0.597146 | + | 0.802133i | ||||
\(33\) | 1.52544 | − | 3.13025i | 0.265546 | − | 0.544906i | ||||
\(34\) | 3.85098 | − | 0.112064i | 0.660438 | − | 0.0192189i | ||||
\(35\) | 0.712027 | − | 0.141631i | 0.120355 | − | 0.0239400i | ||||
\(36\) | −2.64231 | + | 5.38685i | −0.440385 | + | 0.897809i | ||||
\(37\) | 1.42685 | + | 2.13544i | 0.234573 | + | 0.351064i | 0.930017 | − | 0.367517i | \(-0.119792\pi\) |
−0.695443 | + | 0.718581i | \(0.744792\pi\) | |||||||
\(38\) | −5.86935 | + | 1.34608i | −0.952134 | + | 0.218363i | ||||
\(39\) | 8.76176 | − | 7.75691i | 1.40300 | − | 1.24210i | ||||
\(40\) | −0.0991520 | + | 0.905430i | −0.0156773 | + | 0.143161i | ||||
\(41\) | −7.50562 | + | 3.10893i | −1.17218 | + | 0.485533i | −0.881913 | − | 0.471412i | \(-0.843744\pi\) |
−0.290268 | + | 0.956945i | \(0.593744\pi\) | |||||||
\(42\) | 5.44733 | − | 0.905295i | 0.840541 | − | 0.139690i | ||||
\(43\) | 0.371486 | + | 0.0738932i | 0.0566511 | + | 0.0112686i | 0.223334 | − | 0.974742i | \(-0.428306\pi\) |
−0.166683 | + | 0.986010i | \(0.553306\pi\) | |||||||
\(44\) | 0.553777 | − | 3.98253i | 0.0834850 | − | 0.600389i | ||||
\(45\) | 0.0722324 | + | 0.963391i | 0.0107678 | + | 0.143614i | ||||
\(46\) | −7.57706 | − | 2.88327i | −1.11718 | − | 0.425115i | ||||
\(47\) | −4.36387 | + | 4.36387i | −0.636536 | + | 0.636536i | −0.949699 | − | 0.313163i | \(-0.898611\pi\) |
0.313163 | + | 0.949699i | \(0.398611\pi\) | |||||||
\(48\) | −0.971844 | + | 6.85970i | −0.140274 | + | 0.990113i | ||||
\(49\) | 1.35612 | + | 1.35612i | 0.193731 | + | 0.193731i | ||||
\(50\) | −2.83482 | − | 6.31753i | −0.400904 | − | 0.893434i | ||||
\(51\) | 4.07520 | − | 2.37839i | 0.570641 | − | 0.333041i | ||||
\(52\) | 6.84103 | − | 11.6527i | 0.948681 | − | 1.61593i | ||||
\(53\) | −1.66580 | + | 8.37454i | −0.228815 | + | 1.15033i | 0.680025 | + | 0.733189i | \(0.261969\pi\) |
−0.908841 | + | 0.417144i | \(0.863031\pi\) | |||||||
\(54\) | 0.317157 | + | 7.34162i | 0.0431596 | + | 0.999068i | ||||
\(55\) | −0.247757 | − | 0.598138i | −0.0334076 | − | 0.0806530i | ||||
\(56\) | 5.65583 | − | 2.94430i | 0.755791 | − | 0.393449i | ||||
\(57\) | −5.52199 | + | 4.88870i | −0.731406 | + | 0.647524i | ||||
\(58\) | 6.51987 | + | 4.08723i | 0.856100 | + | 0.536680i | ||||
\(59\) | −2.84793 | + | 1.90292i | −0.370768 | + | 0.247739i | −0.726969 | − | 0.686670i | \(-0.759072\pi\) |
0.356201 | + | 0.934409i | \(0.384072\pi\) | |||||||
\(60\) | 0.424250 | + | 1.03173i | 0.0547705 | + | 0.133196i | ||||
\(61\) | −0.814645 | − | 4.09550i | −0.104305 | − | 0.524375i | −0.997244 | − | 0.0741971i | \(-0.976361\pi\) |
0.892939 | − | 0.450178i | \(-0.148639\pi\) | |||||||
\(62\) | 4.67506 | − | 4.95531i | 0.593734 | − | 0.629325i | ||||
\(63\) | 5.32664 | − | 4.16730i | 0.671093 | − | 0.525030i | ||||
\(64\) | 1.38934 | + | 7.87844i | 0.173667 | + | 0.984804i | ||||
\(65\) | − | 2.17571i | − | 0.269863i | ||||||
\(66\) | −1.73955 | − | 4.60704i | −0.214124 | − | 0.567087i | ||||
\(67\) | −9.80554 | + | 1.95044i | −1.19794 | + | 0.238285i | −0.753453 | − | 0.657502i | \(-0.771613\pi\) |
−0.444485 | + | 0.895786i | \(0.646613\pi\) | |||||||
\(68\) | 3.62206 | − | 4.07013i | 0.439239 | − | 0.493576i | ||||
\(69\) | −9.83799 | + | 1.34220i | −1.18436 | + | 0.161582i | ||||
\(70\) | 0.545324 | − | 0.869889i | 0.0651787 | − | 0.103972i | ||||
\(71\) | −4.67113 | − | 1.93485i | −0.554361 | − | 0.229624i | 0.0878740 | − | 0.996132i | \(-0.471993\pi\) |
−0.642235 | + | 0.766508i | \(0.721993\pi\) | |||||||
\(72\) | 2.97693 | + | 7.94593i | 0.350835 | + | 0.936437i | ||||
\(73\) | 3.32953 | − | 1.37914i | 0.389692 | − | 0.161416i | −0.179230 | − | 0.983807i | \(-0.557361\pi\) |
0.568922 | + | 0.822392i | \(0.307361\pi\) | |||||||
\(74\) | 3.58140 | + | 0.604665i | 0.416329 | + | 0.0702908i | ||||
\(75\) | −6.75230 | − | 5.13105i | −0.779688 | − | 0.592482i | ||||
\(76\) | −4.31148 | + | 7.34394i | −0.494560 | + | 0.842408i | ||||
\(77\) | −2.51797 | + | 3.76841i | −0.286950 | + | 0.429450i | ||||
\(78\) | 0.523929 | − | 16.5409i | 0.0593233 | − | 1.87289i | ||||
\(79\) | −0.888047 | + | 0.888047i | −0.0999131 | + | 0.0999131i | −0.755296 | − | 0.655383i | \(-0.772507\pi\) |
0.655383 | + | 0.755296i | \(0.272507\pi\) | |||||||
\(80\) | 0.835158 | + | 0.980704i | 0.0933735 | + | 0.109646i | ||||
\(81\) | 4.64553 | + | 7.70837i | 0.516170 | + | 0.856486i | ||||
\(82\) | −4.08608 | + | 10.7379i | −0.451232 | + | 1.18581i | ||||
\(83\) | 7.24954 | − | 10.8497i | 0.795740 | − | 1.19091i | −0.182453 | − | 0.983215i | \(-0.558404\pi\) |
0.978194 | − | 0.207695i | \(-0.0665962\pi\) | |||||||
\(84\) | 4.35533 | − | 6.48206i | 0.475205 | − | 0.707250i | ||||
\(85\) | 0.171149 | − | 0.860425i | 0.0185637 | − | 0.0933262i | ||||
\(86\) | 0.436534 | − | 0.310422i | 0.0470727 | − | 0.0334737i | ||||
\(87\) | 9.40711 | + | 0.572244i | 1.00855 | + | 0.0613510i | ||||
\(88\) | −3.55926 | − | 4.43465i | −0.379418 | − | 0.472736i | ||||
\(89\) | −6.70406 | − | 2.77691i | −0.710629 | − | 0.294352i | −0.00206424 | − | 0.999998i | \(-0.500657\pi\) |
−0.708565 | + | 0.705646i | \(0.750657\pi\) | |||||||
\(90\) | 1.06111 | + | 0.860657i | 0.111850 | + | 0.0907212i | ||||
\(91\) | −12.6640 | + | 8.46184i | −1.32755 | + | 0.887042i | ||||
\(92\) | −10.3194 | + | 4.99607i | −1.07587 | + | 0.520876i | ||||
\(93\) | 2.12165 | − | 8.06942i | 0.220005 | − | 0.836760i | ||||
\(94\) | 0.253872 | + | 8.72405i | 0.0261849 | + | 0.899817i | ||||
\(95\) | 1.37121i | 0.140683i | ||||||||
\(96\) | 6.11317 | + | 7.65697i | 0.623923 | + | 0.781486i | ||||
\(97\) | − | 17.3353i | − | 1.76014i | −0.474846 | − | 0.880069i | \(-0.657496\pi\) | ||
0.474846 | − | 0.880069i | \(-0.342504\pi\) | |||||||
\(98\) | 2.71109 | − | 0.0788931i | 0.273861 | − | 0.00796941i | ||||
\(99\) | −4.57168 | − | 3.93395i | −0.459471 | − | 0.395377i | ||||
\(100\) | −9.24978 | − | 3.21502i | −0.924978 | − | 0.321502i | ||||
\(101\) | 14.5595 | − | 9.72838i | 1.44873 | − | 0.968010i | 0.451605 | − | 0.892218i | \(-0.350852\pi\) |
0.997124 | − | 0.0757916i | \(-0.0241484\pi\) | |||||||
\(102\) | 1.50837 | − | 6.50021i | 0.149351 | − | 0.643617i | ||||
\(103\) | −5.41974 | − | 2.24493i | −0.534023 | − | 0.221199i | 0.0993414 | − | 0.995053i | \(-0.468326\pi\) |
−0.633364 | + | 0.773854i | \(0.718326\pi\) | |||||||
\(104\) | −5.34753 | − | 18.3459i | −0.524369 | − | 1.79896i | ||||
\(105\) | 0.0763496 | − | 1.25511i | 0.00745095 | − | 0.122486i | ||||
\(106\) | 6.99796 | + | 9.84095i | 0.679702 | + | 0.955838i | ||||
\(107\) | −2.08611 | + | 10.4876i | −0.201672 | + | 1.01387i | 0.738780 | + | 0.673947i | \(0.235402\pi\) |
−0.940452 | + | 0.339927i | \(0.889598\pi\) | |||||||
\(108\) | 7.85987 | + | 6.79871i | 0.756316 | + | 0.654207i | ||||
\(109\) | −9.25906 | + | 13.8572i | −0.886857 | + | 1.32728i | 0.0574972 | + | 0.998346i | \(0.481688\pi\) |
−0.944354 | + | 0.328930i | \(0.893312\pi\) | |||||||
\(110\) | −0.855729 | − | 0.325628i | −0.0815906 | − | 0.0310474i | ||||
\(111\) | 4.20554 | − | 1.44964i | 0.399172 | − | 0.137594i | ||||
\(112\) | 2.46021 | − | 8.67536i | 0.232468 | − | 0.819745i | ||||
\(113\) | 0.393187 | − | 0.393187i | 0.0369879 | − | 0.0369879i | −0.688371 | − | 0.725359i | \(-0.741674\pi\) |
0.725359 | + | 0.688371i | \(0.241674\pi\) | |||||||
\(114\) | −0.330200 | + | 10.4247i | −0.0309261 | + | 0.976363i | ||||
\(115\) | −1.02562 | + | 1.53495i | −0.0956399 | + | 0.143135i | ||||
\(116\) | 10.5319 | − | 2.74014i | 0.977858 | − | 0.254416i | ||||
\(117\) | −9.13480 | − | 18.0934i | −0.844513 | − | 1.67273i | ||||
\(118\) | −0.806411 | + | 4.77633i | −0.0742361 | + | 0.439696i | ||||
\(119\) | −5.67388 | + | 2.35020i | −0.520124 | + | 0.215442i | ||||
\(120\) | 1.47303 | + | 0.564870i | 0.134469 | + | 0.0515654i | ||||
\(121\) | −6.42853 | − | 2.66279i | −0.584412 | − | 0.242071i | ||||
\(122\) | −5.00350 | − | 3.13664i | −0.452996 | − | 0.283978i | ||||
\(123\) | 1.90212 | + | 13.9421i | 0.171509 | + | 1.25711i | ||||
\(124\) | −0.560254 | − | 9.61814i | −0.0503123 | − | 0.863735i | ||||
\(125\) | −3.12568 | + | 0.621737i | −0.279570 | + | 0.0556099i | ||||
\(126\) | 0.882693 | − | 9.52364i | 0.0786365 | − | 0.848433i | ||||
\(127\) | − | 12.6212i | − | 1.11995i | −0.828510 | − | 0.559974i | \(-0.810811\pi\) | ||
0.828510 | − | 0.559974i | \(-0.189189\pi\) | |||||||
\(128\) | 9.45260 | + | 6.21677i | 0.835500 | + | 0.549490i | ||||
\(129\) | 0.287393 | − | 0.589738i | 0.0253036 | − | 0.0519236i | ||||
\(130\) | −2.23807 | − | 2.11150i | −0.196292 | − | 0.185191i | ||||
\(131\) | 3.14031 | + | 15.7874i | 0.274370 | + | 1.37935i | 0.834528 | + | 0.550966i | \(0.185741\pi\) |
−0.560157 | + | 0.828386i | \(0.689259\pi\) | |||||||
\(132\) | −6.42731 | − | 2.68167i | −0.559426 | − | 0.233409i | ||||
\(133\) | 7.98135 | − | 5.33297i | 0.692071 | − | 0.462427i | ||||
\(134\) | −7.50982 | + | 11.9795i | −0.648750 | + | 1.03487i | ||||
\(135\) | 1.64561 | + | 0.303309i | 0.141631 | + | 0.0261046i | ||||
\(136\) | −0.671628 | − | 7.67590i | −0.0575916 | − | 0.658203i | ||||
\(137\) | −8.21251 | − | 19.8268i | −0.701642 | − | 1.69391i | −0.719896 | − | 0.694081i | \(-0.755811\pi\) |
0.0182540 | − | 0.999833i | \(-0.494189\pi\) | |||||||
\(138\) | −8.16699 | + | 11.4226i | −0.695220 | + | 0.972355i | ||||
\(139\) | 2.30488 | − | 11.5874i | 0.195497 | − | 0.982832i | −0.751045 | − | 0.660251i | \(-0.770450\pi\) |
0.946542 | − | 0.322580i | \(-0.104550\pi\) | |||||||
\(140\) | −0.365593 | − | 1.40517i | −0.0308983 | − | 0.118759i | ||||
\(141\) | 5.38802 | + | 9.23198i | 0.453753 | + | 0.777473i | ||||
\(142\) | −6.52359 | + | 2.92728i | −0.547447 | + | 0.245652i | ||||
\(143\) | 9.60449 | + | 9.60449i | 0.803168 | + | 0.803168i | ||||
\(144\) | 11.0628 | + | 4.64917i | 0.921899 | + | 0.387431i | ||||
\(145\) | 1.23903 | − | 1.23903i | 0.102896 | − | 0.102896i | ||||
\(146\) | 1.81260 | − | 4.76340i | 0.150012 | − | 0.394222i | ||||
\(147\) | 2.86893 | − | 1.67438i | 0.236625 | − | 0.138101i | ||||
\(148\) | 4.09770 | − | 3.09724i | 0.336829 | − | 0.254591i | ||||
\(149\) | 1.69292 | + | 0.336742i | 0.138689 | + | 0.0275870i | 0.263947 | − | 0.964537i | \(-0.414976\pi\) |
−0.125258 | + | 0.992124i | \(0.539976\pi\) | |||||||
\(150\) | −11.8312 | + | 1.96623i | −0.966010 | + | 0.160542i | ||||
\(151\) | −5.77056 | + | 2.39024i | −0.469601 | + | 0.194515i | −0.604919 | − | 0.796287i | \(-0.706794\pi\) |
0.135318 | + | 0.990802i | \(0.456794\pi\) | |||||||
\(152\) | 3.37022 | + | 11.5623i | 0.273361 | + | 0.937825i | ||||
\(153\) | −2.18924 | − | 7.87395i | −0.176990 | − | 0.636571i | ||||
\(154\) | 1.43277 | + | 6.24735i | 0.115456 | + | 0.503426i | ||||
\(155\) | −0.861855 | − | 1.28986i | −0.0692259 | − | 0.103604i | ||||
\(156\) | −16.5066 | − | 16.5917i | −1.32158 | − | 1.32840i | ||||
\(157\) | 2.47728 | − | 0.492762i | 0.197709 | − | 0.0393267i | −0.0952425 | − | 0.995454i | \(-0.530363\pi\) |
0.292951 | + | 0.956127i | \(0.405363\pi\) | |||||||
\(158\) | 0.0516628 | + | 1.77534i | 0.00411007 | + | 0.141239i | ||||
\(159\) | 13.2947 | + | 6.47882i | 1.05434 | + | 0.513803i | ||||
\(160\) | 1.81933 | + | 0.0926648i | 0.143830 | + | 0.00732580i | ||||
\(161\) | 12.9233 | 1.01850 | ||||||||
\(162\) | 12.4378 | + | 2.70220i | 0.977204 | + | 0.212305i | ||||
\(163\) | −0.386632 | − | 1.94373i | −0.0302833 | − | 0.152245i | 0.962685 | − | 0.270624i | \(-0.0872300\pi\) |
−0.992968 | + | 0.118380i | \(0.962230\pi\) | |||||||
\(164\) | 7.08026 | + | 14.6243i | 0.552875 | + | 1.14196i | ||||
\(165\) | −1.11107 | + | 0.151584i | −0.0864969 | + | 0.0118008i | ||||
\(166\) | −4.12511 | − | 17.9869i | −0.320171 | − | 1.39605i | ||||
\(167\) | 3.26287 | − | 7.87727i | 0.252489 | − | 0.609562i | −0.745915 | − | 0.666041i | \(-0.767988\pi\) |
0.998404 | + | 0.0564794i | \(0.0179875\pi\) | |||||||
\(168\) | −2.44106 | − | 10.7709i | −0.188332 | − | 0.830996i | ||||
\(169\) | 12.4931 | + | 30.1610i | 0.961008 | + | 2.32008i | ||||
\(170\) | −0.718990 | − | 1.01109i | −0.0551440 | − | 0.0775469i | ||||
\(171\) | 5.75710 | + | 11.4031i | 0.440256 | + | 0.872018i | ||||
\(172\) | 0.104332 | − | 0.750309i | 0.00795521 | − | 0.0572105i | ||||
\(173\) | 7.61120 | + | 5.08564i | 0.578669 | + | 0.386654i | 0.810183 | − | 0.586177i | \(-0.199368\pi\) |
−0.231514 | + | 0.972832i | \(0.574368\pi\) | |||||||
\(174\) | 9.71814 | − | 9.12141i | 0.736731 | − | 0.691492i | ||||
\(175\) | 7.80507 | + | 7.80507i | 0.590008 | + | 0.590008i | ||||
\(176\) | −8.01599 | − | 0.642502i | −0.604228 | − | 0.0484304i | ||||
\(177\) | 1.93331 | + | 5.60872i | 0.145316 | + | 0.421577i | ||||
\(178\) | −9.36273 | + | 4.20127i | −0.701766 | + | 0.314898i | ||||
\(179\) | 2.06902 | + | 1.38248i | 0.154646 | + | 0.103331i | 0.630486 | − | 0.776201i | \(-0.282856\pi\) |
−0.475840 | + | 0.879532i | \(0.657856\pi\) | |||||||
\(180\) | 1.91512 | − | 0.256265i | 0.142745 | − | 0.0191009i | ||||
\(181\) | −1.87039 | − | 0.372044i | −0.139025 | − | 0.0276538i | 0.125087 | − | 0.992146i | \(-0.460079\pi\) |
−0.264112 | + | 0.964492i | \(0.585079\pi\) | |||||||
\(182\) | −3.58591 | + | 21.2392i | −0.265806 | + | 1.57435i | ||||
\(183\) | −7.21924 | − | 0.439154i | −0.533662 | − | 0.0324632i | ||||
\(184\) | −4.87556 | + | 15.4638i | −0.359431 | + | 1.14001i | ||||
\(185\) | 0.316504 | − | 0.764108i | 0.0232698 | − | 0.0561783i | ||||
\(186\) | −6.24169 | − | 10.0138i | −0.457663 | − | 0.734244i | ||||
\(187\) | 3.04276 | + | 4.55381i | 0.222508 | + | 0.333007i | ||||
\(188\) | 9.22050 | + | 8.20545i | 0.672474 | + | 0.598444i | ||||
\(189\) | −4.63470 | − | 10.7582i | −0.337125 | − | 0.782541i | ||||
\(190\) | 1.41052 | + | 1.33075i | 0.102330 | + | 0.0965425i | ||||
\(191\) | −2.62478 | −0.189923 | −0.0949613 | − | 0.995481i | \(-0.530273\pi\) | ||||
−0.0949613 | + | 0.995481i | \(0.530273\pi\) | |||||||
\(192\) | 13.8092 | + | 1.14260i | 0.996594 | + | 0.0824600i | ||||
\(193\) | 4.95945 | 0.356989 | 0.178495 | − | 0.983941i | \(-0.442877\pi\) | ||||
0.178495 | + | 0.983941i | \(0.442877\pi\) | |||||||
\(194\) | −17.8323 | − | 16.8238i | −1.28028 | − | 1.20788i | ||||
\(195\) | −3.64456 | − | 0.958246i | −0.260993 | − | 0.0686215i | ||||
\(196\) | 2.54992 | − | 2.86536i | 0.182137 | − | 0.204669i | ||||
\(197\) | −10.7615 | − | 16.1058i | −0.766727 | − | 1.14749i | −0.985160 | − | 0.171636i | \(-0.945095\pi\) |
0.218433 | − | 0.975852i | \(-0.429905\pi\) | |||||||
\(198\) | −8.48349 | + | 0.884870i | −0.602895 | + | 0.0628850i | ||||
\(199\) | −8.04854 | + | 19.4309i | −0.570546 | + | 1.37742i | 0.330546 | + | 0.943790i | \(0.392767\pi\) |
−0.901091 | + | 0.433629i | \(0.857233\pi\) | |||||||
\(200\) | −12.2840 | + | 6.39479i | −0.868609 | + | 0.452180i | ||||
\(201\) | −1.05143 | + | 17.2845i | −0.0741623 | + | 1.21915i | ||||
\(202\) | 4.12264 | − | 24.4182i | 0.290068 | − | 1.71806i | ||||
\(203\) | −12.0308 | − | 2.39308i | −0.844399 | − | 0.167961i | ||||
\(204\) | −5.22268 | − | 7.85999i | −0.365661 | − | 0.550309i | ||||
\(205\) | 2.17528 | + | 1.45348i | 0.151928 | + | 0.101515i | ||||
\(206\) | −7.56908 | + | 3.39641i | −0.527362 | + | 0.236639i | ||||
\(207\) | −2.08460 | + | 17.0709i | −0.144890 | + | 1.18651i | ||||
\(208\) | −24.0615 | − | 12.3037i | −1.66837 | − | 0.853107i | ||||
\(209\) | −6.05311 | − | 6.05311i | −0.418703 | − | 0.418703i | ||||
\(210\) | −1.21699 | − | 1.29661i | −0.0839803 | − | 0.0894744i | ||||
\(211\) | 16.7354 | + | 11.1822i | 1.15211 | + | 0.769817i | 0.976685 | − | 0.214676i | \(-0.0688695\pi\) |
0.175427 | + | 0.984492i | \(0.443869\pi\) | |||||||
\(212\) | 16.9145 | + | 2.35198i | 1.16169 | + | 0.161535i | ||||
\(213\) | −5.29840 | + | 6.97253i | −0.363041 | + | 0.477750i | ||||
\(214\) | 8.76366 | + | 12.3240i | 0.599072 | + | 0.842451i | ||||
\(215\) | −0.0466774 | − | 0.112689i | −0.00318337 | − | 0.00768534i | ||||
\(216\) | 14.6215 | − | 1.48709i | 0.994868 | − | 0.101184i | ||||
\(217\) | −4.15586 | + | 10.0331i | −0.282118 | + | 0.681093i | ||||
\(218\) | 5.26856 | + | 22.9727i | 0.356832 | + | 1.55591i | ||||
\(219\) | −0.843791 | − | 6.18477i | −0.0570181 | − | 0.417928i | ||||
\(220\) | −1.16544 | + | 0.564240i | −0.0785738 | + | 0.0380411i | ||||
\(221\) | 3.59069 | + | 18.0516i | 0.241536 | + | 1.21428i | ||||
\(222\) | 2.59024 | − | 5.73295i | 0.173845 | − | 0.384770i | ||||
\(223\) | 25.3028 | 1.69440 | 0.847201 | − | 0.531273i | \(-0.178286\pi\) | ||||
0.847201 | + | 0.531273i | \(0.178286\pi\) | |||||||
\(224\) | −6.53643 | − | 10.9501i | −0.436734 | − | 0.731633i | ||||
\(225\) | −11.5690 | + | 9.05103i | −0.771268 | + | 0.603402i | ||||
\(226\) | −0.0228740 | − | 0.786041i | −0.00152155 | − | 0.0522867i | ||||
\(227\) | 28.7840 | − | 5.72550i | 1.91046 | − | 0.380015i | 0.910989 | − | 0.412430i | \(-0.135320\pi\) |
0.999475 | + | 0.0324148i | \(0.0103198\pi\) | |||||||
\(228\) | 10.4031 | + | 10.4567i | 0.688960 | + | 0.692514i | ||||
\(229\) | −1.83951 | − | 2.75302i | −0.121558 | − | 0.181924i | 0.765700 | − | 0.643198i | \(-0.222393\pi\) |
−0.887258 | + | 0.461273i | \(0.847393\pi\) | |||||||
\(230\) | 0.583597 | + | 2.54468i | 0.0384812 | + | 0.167791i | ||||
\(231\) | 5.20355 | + | 5.87762i | 0.342368 | + | 0.386719i | ||||
\(232\) | 7.40236 | − | 13.4930i | 0.485989 | − | 0.885860i | ||||
\(233\) | 23.0927 | − | 9.56529i | 1.51285 | − | 0.626643i | 0.536706 | − | 0.843769i | \(-0.319668\pi\) |
0.976144 | + | 0.217126i | \(0.0696683\pi\) | |||||||
\(234\) | −27.4772 | − | 8.16276i | −1.79624 | − | 0.533616i | ||||
\(235\) | 1.94921 | + | 0.387723i | 0.127153 | + | 0.0252922i | ||||
\(236\) | 4.13063 | + | 5.46490i | 0.268881 | + | 0.355735i | ||||
\(237\) | 1.09646 | + | 1.87871i | 0.0712228 | + | 0.122035i | ||||
\(238\) | −3.08887 | + | 8.11736i | −0.200222 | + | 0.526170i | ||||
\(239\) | −10.2155 | + | 10.2155i | −0.660783 | + | 0.660783i | −0.955565 | − | 0.294782i | \(-0.904753\pi\) |
0.294782 | + | 0.955565i | \(0.404753\pi\) | |||||||
\(240\) | 2.01062 | − | 0.967057i | 0.129785 | − | 0.0624233i | ||||
\(241\) | −12.7558 | − | 12.7558i | −0.821670 | − | 0.821670i | 0.164677 | − | 0.986348i | \(-0.447342\pi\) |
−0.986348 | + | 0.164677i | \(0.947342\pi\) | |||||||
\(242\) | −8.97793 | + | 4.02860i | −0.577123 | + | 0.258968i | ||||
\(243\) | 14.9585 | − | 4.38682i | 0.959586 | − | 0.281414i | ||||
\(244\) | −8.08239 | + | 2.10285i | −0.517422 | + | 0.134621i | ||||
\(245\) | 0.120489 | − | 0.605738i | 0.00769774 | − | 0.0386992i | ||||
\(246\) | 16.1877 | + | 11.5740i | 1.03209 | + | 0.737930i | ||||
\(247\) | −11.0090 | − | 26.5780i | −0.700485 | − | 1.69112i | ||||
\(248\) | −10.4376 | − | 8.75799i | −0.662786 | − | 0.556133i | ||||
\(249\) | −14.9816 | − | 16.9224i | −0.949422 | − | 1.07241i | ||||
\(250\) | −2.39388 | + | 3.81867i | −0.151402 | + | 0.241514i | ||||
\(251\) | 8.72325 | − | 5.82869i | 0.550607 | − | 0.367904i | −0.248929 | − | 0.968522i | \(-0.580079\pi\) |
0.799536 | + | 0.600618i | \(0.205079\pi\) | |||||||
\(252\) | −8.93999 | − | 10.1506i | −0.563167 | − | 0.639427i | ||||
\(253\) | −2.24840 | − | 11.3035i | −0.141356 | − | 0.710644i | ||||
\(254\) | −12.9830 | − | 12.2487i | −0.814624 | − | 0.768553i | ||||
\(255\) | −1.36593 | − | 0.665652i | −0.0855381 | − | 0.0416848i | ||||
\(256\) | 15.5686 | − | 3.69025i | 0.973039 | − | 0.230641i | ||||
\(257\) | − | 12.2349i | − | 0.763193i | −0.924329 | − | 0.381596i | \(-0.875374\pi\) | ||
0.924329 | − | 0.381596i | \(-0.124626\pi\) | |||||||
\(258\) | −0.327731 | − | 0.867966i | −0.0204036 | − | 0.0540372i | ||||
\(259\) | −5.67857 | + | 1.12954i | −0.352849 | + | 0.0701860i | ||||
\(260\) | −4.34405 | + | 0.253040i | −0.269406 | + | 0.0156929i | ||||
\(261\) | 5.10175 | − | 15.5060i | 0.315791 | − | 0.959797i | ||||
\(262\) | 19.2876 | + | 12.0912i | 1.19159 | + | 0.746996i | ||||
\(263\) | −11.1339 | − | 4.61180i | −0.686544 | − | 0.284376i | 0.0120153 | − | 0.999928i | \(-0.496175\pi\) |
−0.698560 | + | 0.715552i | \(0.746175\pi\) | |||||||
\(264\) | −8.99617 | + | 4.00902i | −0.553676 | + | 0.246738i | ||||
\(265\) | 2.54039 | − | 1.05227i | 0.156055 | − | 0.0646402i | ||||
\(266\) | 2.25998 | − | 13.3857i | 0.138568 | − | 0.820732i | ||||
\(267\) | −7.60433 | + | 10.0071i | −0.465377 | + | 0.612422i | ||||
\(268\) | 5.03469 | + | 19.3511i | 0.307543 | + | 1.18205i | ||||
\(269\) | −1.94367 | + | 2.90890i | −0.118507 | + | 0.177359i | −0.885981 | − | 0.463722i | \(-0.846514\pi\) |
0.767473 | + | 0.641081i | \(0.221514\pi\) | |||||||
\(270\) | 1.90905 | − | 1.39842i | 0.116181 | − | 0.0851051i | ||||
\(271\) | −13.9577 | + | 13.9577i | −0.847870 | + | 0.847870i | −0.989867 | − | 0.141997i | \(-0.954648\pi\) |
0.141997 | + | 0.989867i | \(0.454648\pi\) | |||||||
\(272\) | −8.54774 | − | 6.75850i | −0.518283 | − | 0.409794i | ||||
\(273\) | 8.59696 | + | 24.9406i | 0.520312 | + | 1.50947i | ||||
\(274\) | −28.3652 | − | 10.7937i | −1.71361 | − | 0.652073i | ||||
\(275\) | 5.46883 | − | 8.18468i | 0.329783 | − | 0.493555i | ||||
\(276\) | 3.82404 | + | 19.4866i | 0.230180 | + | 1.17295i | ||||
\(277\) | 0.588884 | − | 2.96052i | 0.0353826 | − | 0.177881i | −0.959053 | − | 0.283227i | \(-0.908595\pi\) |
0.994436 | + | 0.105346i | \(0.0335951\pi\) | |||||||
\(278\) | −9.68271 | − | 13.6164i | −0.580730 | − | 0.816658i | ||||
\(279\) | −12.5828 | − | 7.10803i | −0.753312 | − | 0.425547i | ||||
\(280\) | −1.80026 | − | 0.987632i | −0.107586 | − | 0.0590223i | ||||
\(281\) | 2.05608 | + | 0.851655i | 0.122655 | + | 0.0508055i | 0.443167 | − | 0.896439i | \(-0.353855\pi\) |
−0.320512 | + | 0.947245i | \(0.603855\pi\) | |||||||
\(282\) | 14.7256 | + | 3.41707i | 0.876899 | + | 0.203484i | ||||
\(283\) | 22.2557 | − | 14.8708i | 1.32297 | − | 0.883977i | 0.324875 | − | 0.945757i | \(-0.394678\pi\) |
0.998090 | + | 0.0617797i | \(0.0196776\pi\) | |||||||
\(284\) | −3.31988 | + | 9.55148i | −0.196999 | + | 0.566776i | ||||
\(285\) | 2.29694 | + | 0.603923i | 0.136059 | + | 0.0357733i | ||||
\(286\) | 19.2009 | − | 0.558749i | 1.13537 | − | 0.0330395i | ||||
\(287\) | − | 18.3145i | − | 1.08107i | ||||||
\(288\) | 15.5188 | − | 6.86792i | 0.914451 | − | 0.404696i | ||||
\(289\) | − | 9.57868i | − | 0.563452i | ||||||
\(290\) | −0.0720814 | − | 2.47701i | −0.00423277 | − | 0.145455i | ||||
\(291\) | −29.0388 | − | 7.63501i | −1.70228 | − | 0.447572i | ||||
\(292\) | −3.14084 | − | 6.48739i | −0.183803 | − | 0.379646i | ||||
\(293\) | −5.53441 | + | 3.69798i | −0.323324 | + | 0.216038i | −0.706630 | − | 0.707583i | \(-0.749785\pi\) |
0.383306 | + | 0.923621i | \(0.374785\pi\) | |||||||
\(294\) | 1.06189 | − | 4.57614i | 0.0619306 | − | 0.266886i | ||||
\(295\) | 1.01905 | + | 0.422105i | 0.0593315 | + | 0.0245759i | ||||
\(296\) | 0.790758 | − | 7.22100i | 0.0459619 | − | 0.419712i | ||||
\(297\) | −8.60334 | + | 5.92548i | −0.499217 | + | 0.343831i | ||||
\(298\) | 1.98935 | − | 1.41464i | 0.115240 | − | 0.0819478i | ||||
\(299\) | 7.55593 | − | 37.9862i | 0.436971 | − | 2.19680i | ||||
\(300\) | −9.45942 | + | 14.0785i | −0.546140 | + | 0.812822i | ||||
\(301\) | −0.474386 | + | 0.709969i | −0.0273432 | + | 0.0409219i | ||||
\(302\) | −3.14150 | + | 8.25567i | −0.180773 | + | 0.475061i | ||||
\(303\) | −9.88372 | − | 28.6736i | −0.567805 | − | 1.64726i | ||||
\(304\) | 15.1645 | + | 7.75424i | 0.869742 | + | 0.444736i | ||||
\(305\) | −0.950860 | + | 0.950860i | −0.0544461 | + | 0.0544461i | ||||
\(306\) | −10.2243 | − | 5.38958i | −0.584484 | − | 0.308102i | ||||
\(307\) | −4.52136 | + | 6.76670i | −0.258048 | + | 0.386196i | −0.937761 | − | 0.347283i | \(-0.887104\pi\) |
0.679713 | + | 0.733478i | \(0.262104\pi\) | |||||||
\(308\) | 7.81692 | + | 4.58915i | 0.445410 | + | 0.261491i | ||||
\(309\) | −6.14754 | + | 8.08997i | −0.349721 | + | 0.460222i | ||||
\(310\) | −2.16325 | − | 0.365232i | −0.122864 | − | 0.0207438i | ||||
\(311\) | −6.53824 | + | 2.70823i | −0.370749 | + | 0.153569i | −0.560276 | − | 0.828306i | \(-0.689305\pi\) |
0.189526 | + | 0.981876i | \(0.439305\pi\) | |||||||
\(312\) | −33.0868 | + | 0.877661i | −1.87317 | + | 0.0496878i | ||||
\(313\) | 8.49472 | + | 3.51863i | 0.480150 | + | 0.198885i | 0.609612 | − | 0.792700i | \(-0.291325\pi\) |
−0.129462 | + | 0.991584i | \(0.541325\pi\) | |||||||
\(314\) | 1.89729 | − | 3.02651i | 0.107070 | − | 0.170796i | ||||
\(315\) | −2.06883 | − | 0.680682i | −0.116565 | − | 0.0383521i | ||||
\(316\) | 1.87637 | + | 1.66981i | 0.105554 | + | 0.0939340i | ||||
\(317\) | −16.5670 | + | 3.29538i | −0.930496 | + | 0.185087i | −0.636992 | − | 0.770871i | \(-0.719822\pi\) |
−0.293504 | + | 0.955958i | \(0.594822\pi\) | |||||||
\(318\) | 19.5669 | − | 7.38815i | 1.09726 | − | 0.414307i | ||||
\(319\) | 10.9392i | 0.612477i | ||||||||
\(320\) | 1.86096 | − | 1.78155i | 0.104031 | − | 0.0995916i | ||||
\(321\) | 16.6492 | + | 8.11353i | 0.929266 | + | 0.452853i | ||||
\(322\) | 12.5420 | − | 13.2938i | 0.698936 | − | 0.740834i | ||||
\(323\) | −2.26299 | − | 11.3768i | −0.125916 | − | 0.633022i | ||||
\(324\) | 14.8504 | − | 10.1718i | 0.825021 | − | 0.565103i | ||||
\(325\) | 27.5053 | − | 18.3784i | 1.52572 | − | 1.01945i | ||||
\(326\) | −2.37467 | − | 1.48865i | −0.131521 | − | 0.0824488i | ||||
\(327\) | 19.1344 | + | 21.6131i | 1.05814 | + | 1.19521i | ||||
\(328\) | 21.9148 | + | 6.90947i | 1.21004 | + | 0.381512i | ||||
\(329\) | −5.32416 | − | 12.8537i | −0.293530 | − | 0.708645i | ||||
\(330\) | −0.922354 | + | 1.29003i | −0.0507739 | + | 0.0710139i | ||||
\(331\) | 6.05143 | − | 30.4226i | 0.332617 | − | 1.67218i | −0.346425 | − | 0.938078i | \(-0.612604\pi\) |
0.679042 | − | 0.734100i | \(-0.262396\pi\) | |||||||
\(332\) | −22.5058 | − | 13.2127i | −1.23517 | − | 0.725141i | ||||
\(333\) | −0.576068 | − | 7.68324i | −0.0315684 | − | 0.421039i | ||||
\(334\) | −4.93649 | − | 11.0012i | −0.270113 | − | 0.601959i | ||||
\(335\) | 2.27657 | + | 2.27657i | 0.124382 | + | 0.124382i | ||||
\(336\) | −13.4487 | − | 7.94204i | −0.733687 | − | 0.433274i | ||||
\(337\) | −19.5173 | + | 19.5173i | −1.06317 | + | 1.06317i | −0.0653081 | + | 0.997865i | \(0.520803\pi\) |
−0.997865 | + | 0.0653081i | \(0.979197\pi\) | |||||||
\(338\) | 43.1500 | + | 16.4197i | 2.34705 | + | 0.893115i | ||||
\(339\) | −0.485463 | − | 0.831806i | −0.0263667 | − | 0.0451775i | ||||
\(340\) | −1.73784 | − | 0.241650i | −0.0942478 | − | 0.0131053i | ||||
\(341\) | 9.49858 | + | 1.88938i | 0.514377 | + | 0.102316i | ||||
\(342\) | 17.3172 | + | 5.14448i | 0.936406 | + | 0.278182i | ||||
\(343\) | −18.5737 | + | 7.69349i | −1.00289 | + | 0.415410i | ||||
\(344\) | −0.670564 | − | 0.835489i | −0.0361544 | − | 0.0450465i | ||||
\(345\) | 2.11951 | + | 2.39408i | 0.114111 | + | 0.128893i | ||||
\(346\) | 12.6180 | − | 2.89381i | 0.678348 | − | 0.155572i | ||||
\(347\) | 18.1081 | + | 27.1006i | 0.972092 | + | 1.45484i | 0.888790 | + | 0.458314i | \(0.151547\pi\) |
0.0833020 | + | 0.996524i | \(0.473453\pi\) | |||||||
\(348\) | 0.0484830 | − | 18.8489i | 0.00259896 | − | 1.01041i | ||||
\(349\) | −5.16303 | + | 1.02699i | −0.276371 | + | 0.0549735i | −0.331330 | − | 0.943515i | \(-0.607497\pi\) |
0.0549589 | + | 0.998489i | \(0.482497\pi\) | |||||||
\(350\) | 15.6035 | − | 0.454066i | 0.834044 | − | 0.0242709i | ||||
\(351\) | −34.3318 | + | 7.33301i | −1.83249 | + | 0.391407i | ||||
\(352\) | −8.44035 | + | 7.62223i | −0.449872 | + | 0.406266i | ||||
\(353\) | −2.47590 | −0.131779 | −0.0658896 | − | 0.997827i | \(-0.520989\pi\) | ||||
−0.0658896 | + | 0.997827i | \(0.520989\pi\) | |||||||
\(354\) | 7.64574 | + | 3.45447i | 0.406367 | + | 0.183603i | ||||
\(355\) | 0.317644 | + | 1.59691i | 0.0168588 | + | 0.0847549i | ||||
\(356\) | −4.76473 | + | 13.7084i | −0.252530 | + | 0.726544i | ||||
\(357\) | 1.43791 | + | 10.5395i | 0.0761024 | + | 0.557810i | ||||
\(358\) | 3.43007 | − | 0.786653i | 0.181285 | − | 0.0415759i | ||||
\(359\) | −10.8412 | + | 26.1730i | −0.572178 | + | 1.38136i | 0.327519 | + | 0.944844i | \(0.393787\pi\) |
−0.899697 | + | 0.436515i | \(0.856213\pi\) | |||||||
\(360\) | 1.59499 | − | 2.21872i | 0.0840635 | − | 0.116937i | ||||
\(361\) | −0.332709 | − | 0.803232i | −0.0175110 | − | 0.0422753i | ||||
\(362\) | −2.19791 | + | 1.56294i | −0.115519 | + | 0.0821465i | ||||
\(363\) | −7.29180 | + | 9.59578i | −0.382720 | + | 0.503648i | ||||
\(364\) | 18.3679 | + | 24.3011i | 0.962740 | + | 1.27372i | ||||
\(365\) | −0.964967 | − | 0.644770i | −0.0505087 | − | 0.0337488i | ||||
\(366\) | −7.45794 | + | 6.99998i | −0.389833 | + | 0.365895i | ||||
\(367\) | −10.4204 | − | 10.4204i | −0.543941 | − | 0.543941i | 0.380741 | − | 0.924682i | \(-0.375669\pi\) |
−0.924682 | + | 0.380741i | \(0.875669\pi\) | |||||||
\(368\) | 11.1754 | + | 20.0228i | 0.582558 | + | 1.04376i | ||||
\(369\) | 24.1924 | + | 2.95422i | 1.25940 | + | 0.153791i | ||||
\(370\) | −0.478847 | − | 1.06713i | −0.0248941 | − | 0.0554777i | ||||
\(371\) | −16.0051 | − | 10.6943i | −0.830942 | − | 0.555218i | ||||
\(372\) | −16.3583 | − | 3.29763i | −0.848137 | − | 0.170974i | ||||
\(373\) | −23.9578 | − | 4.76550i | −1.24049 | − | 0.246748i | −0.469117 | − | 0.883136i | \(-0.655428\pi\) |
−0.771369 | + | 0.636388i | \(0.780428\pi\) | |||||||
\(374\) | 7.63730 | + | 1.28944i | 0.394916 | + | 0.0666755i | ||||
\(375\) | −0.335162 | + | 5.50972i | −0.0173077 | + | 0.284521i | ||||
\(376\) | 17.3891 | − | 1.52151i | 0.896772 | − | 0.0784660i | ||||
\(377\) | −14.0682 | + | 33.9637i | −0.724550 | + | 1.74922i | ||||
\(378\) | −15.5645 | − | 5.67311i | −0.800550 | − | 0.291793i | ||||
\(379\) | 0.639117 | + | 0.956506i | 0.0328292 | + | 0.0491324i | 0.847521 | − | 0.530761i | \(-0.178094\pi\) |
−0.814692 | + | 0.579894i | \(0.803094\pi\) | |||||||
\(380\) | 2.73778 | − | 0.159475i | 0.140445 | − | 0.00818090i | ||||
\(381\) | −21.1420 | − | 5.55875i | −1.08314 | − | 0.284783i | ||||
\(382\) | −2.54732 | + | 2.70002i | −0.130332 | + | 0.138145i | ||||
\(383\) | −7.23511 | −0.369697 | −0.184848 | − | 0.982767i | \(-0.559179\pi\) | ||||
−0.184848 | + | 0.982767i | \(0.559179\pi\) | |||||||
\(384\) | 14.5770 | − | 13.0962i | 0.743882 | − | 0.668311i | ||||
\(385\) | 1.45952 | 0.0743841 | ||||||||
\(386\) | 4.81309 | − | 5.10162i | 0.244980 | − | 0.259665i | ||||
\(387\) | −0.861305 | − | 0.741157i | −0.0437826 | − | 0.0376751i | ||||
\(388\) | −34.6120 | + | 2.01614i | −1.75716 | + | 0.102354i | ||||
\(389\) | 12.1387 | + | 18.1669i | 0.615458 | + | 0.921098i | 0.999998 | − | 0.00201037i | \(-0.000639920\pi\) |
−0.384540 | + | 0.923108i | \(0.625640\pi\) | |||||||
\(390\) | −4.52272 | + | 2.81907i | −0.229017 | + | 0.142749i | ||||
\(391\) | 5.97628 | − | 14.4280i | 0.302233 | − | 0.729656i | ||||
\(392\) | −0.472825 | − | 5.40382i | −0.0238813 | − | 0.272934i | ||||
\(393\) | 27.8289 | + | 1.69286i | 1.40378 | + | 0.0853934i | ||||
\(394\) | −27.0114 | − | 4.56046i | −1.36081 | − | 0.229753i | ||||
\(395\) | 0.396665 | + | 0.0789015i | 0.0199584 | + | 0.00396996i | ||||
\(396\) | −7.32289 | + | 9.58542i | −0.367989 | + | 0.481685i | ||||
\(397\) | −2.88521 | − | 1.92783i | −0.144804 | − | 0.0967553i | 0.481058 | − | 0.876689i | \(-0.340253\pi\) |
−0.625862 | + | 0.779934i | \(0.715253\pi\) | |||||||
\(398\) | 12.1769 | + | 27.1367i | 0.610370 | + | 1.36024i | ||||
\(399\) | −5.41813 | − | 15.7185i | −0.271246 | − | 0.786910i | ||||
\(400\) | −5.34338 | + | 18.8422i | −0.267169 | + | 0.942109i | ||||
\(401\) | 3.52904 | + | 3.52904i | 0.176232 | + | 0.176232i | 0.789711 | − | 0.613479i | \(-0.210231\pi\) |
−0.613479 | + | 0.789711i | \(0.710231\pi\) | |||||||
\(402\) | 16.7595 | + | 17.8560i | 0.835889 | + | 0.890575i | ||||
\(403\) | 27.0611 | + | 18.0816i | 1.34801 | + | 0.900710i | ||||
\(404\) | −21.1171 | − | 27.9384i | −1.05062 | − | 1.38999i | ||||
\(405\) | 1.23285 | − | 2.62300i | 0.0612609 | − | 0.130338i | ||||
\(406\) | −14.1375 | + | 10.0532i | −0.701631 | + | 0.498934i | ||||
\(407\) | 1.97591 | + | 4.77028i | 0.0979424 | + | 0.236454i | ||||
\(408\) | −13.1538 | − | 2.25564i | −0.651212 | − | 0.111671i | ||||
\(409\) | −5.58509 | + | 13.4836i | −0.276165 | + | 0.666721i | −0.999723 | − | 0.0235426i | \(-0.992505\pi\) |
0.723558 | + | 0.690264i | \(0.242505\pi\) | |||||||
\(410\) | 3.60623 | − | 0.827054i | 0.178099 | − | 0.0408453i | ||||
\(411\) | −36.8292 | + | 5.02463i | −1.81665 | + | 0.247847i | ||||
\(412\) | −3.85193 | + | 11.0822i | −0.189771 | + | 0.545982i | ||||
\(413\) | −1.50641 | − | 7.57322i | −0.0741254 | − | 0.372654i | ||||
\(414\) | 15.5372 | + | 18.7115i | 0.763612 | + | 0.919621i | ||||
\(415\) | −4.20214 | −0.206275 | ||||||||
\(416\) | −36.0078 | + | 12.8106i | −1.76543 | + | 0.628093i | ||||
\(417\) | −18.3952 | − | 8.96440i | −0.900815 | − | 0.438988i | ||||
\(418\) | −12.1011 | + | 0.352145i | −0.591884 | + | 0.0172240i | ||||
\(419\) | −0.203629 | + | 0.0405044i | −0.00994795 | + | 0.00197877i | −0.200062 | − | 0.979783i | \(-0.564114\pi\) |
0.190114 | + | 0.981762i | \(0.439114\pi\) | |||||||
\(420\) | −2.51485 | − | 0.00646866i | −0.122712 | − | 0.000315638i | ||||
\(421\) | 3.14722 | + | 4.71015i | 0.153386 | + | 0.229559i | 0.900202 | − | 0.435472i | \(-0.143418\pi\) |
−0.746816 | + | 0.665031i | \(0.768418\pi\) | |||||||
\(422\) | 27.7443 | − | 6.36288i | 1.35057 | − | 0.309740i | ||||
\(423\) | 17.8377 | − | 4.95953i | 0.867299 | − | 0.241141i | ||||
\(424\) | 18.8347 | − | 15.1168i | 0.914695 | − | 0.734135i | ||||
\(425\) | 12.3232 | − | 5.10444i | 0.597763 | − | 0.247602i | ||||
\(426\) | 2.03036 | + | 12.2170i | 0.0983711 | + | 0.591918i | ||||
\(427\) | 9.23275 | + | 1.83651i | 0.446804 | + | 0.0888749i | ||||
\(428\) | 21.1823 | + | 2.94543i | 1.02389 | + | 0.142373i | ||||
\(429\) | 20.3188 | − | 11.8586i | 0.980999 | − | 0.572536i | ||||
\(430\) | −0.161219 | − | 0.0613483i | −0.00777469 | − | 0.00295848i | ||||
\(431\) | −1.66766 | + | 1.66766i | −0.0803285 | + | 0.0803285i | −0.746129 | − | 0.665801i | \(-0.768090\pi\) |
0.665801 | + | 0.746129i | \(0.268090\pi\) | |||||||
\(432\) | 12.6603 | − | 16.4838i | 0.609119 | − | 0.793079i | ||||
\(433\) | 2.29406 | + | 2.29406i | 0.110246 | + | 0.110246i | 0.760078 | − | 0.649832i | \(-0.225161\pi\) |
−0.649832 | + | 0.760078i | \(0.725161\pi\) | |||||||
\(434\) | 6.28751 | + | 14.0120i | 0.301810 | + | 0.672599i | ||||
\(435\) | −1.52981 | − | 2.62122i | −0.0733489 | − | 0.125678i | ||||
\(436\) | 28.7443 | + | 16.8752i | 1.37660 | + | 0.808174i | ||||
\(437\) | −4.76203 | + | 23.9403i | −0.227799 | + | 1.14522i | ||||
\(438\) | −7.18094 | − | 5.13427i | −0.343119 | − | 0.245325i | ||||
\(439\) | −7.36936 | − | 17.7912i | −0.351721 | − | 0.849129i | −0.996408 | − | 0.0846823i | \(-0.973012\pi\) |
0.644687 | − | 0.764446i | \(-0.276988\pi\) | |||||||
\(440\) | −0.550630 | + | 1.74643i | −0.0262503 | + | 0.0832580i | ||||
\(441\) | −1.54122 | − | 5.54325i | −0.0733916 | − | 0.263964i | ||||
\(442\) | 22.0538 | + | 13.8253i | 1.04899 | + | 0.657601i | ||||
\(443\) | −14.2497 | + | 9.52137i | −0.677026 | + | 0.452374i | −0.845955 | − | 0.533254i | \(-0.820969\pi\) |
0.168929 | + | 0.985628i | \(0.445969\pi\) | |||||||
\(444\) | −3.38348 | − | 8.22825i | −0.160573 | − | 0.390496i | ||||
\(445\) | 0.455887 | + | 2.29190i | 0.0216111 | + | 0.108646i | ||||
\(446\) | 24.5561 | − | 26.0281i | 1.16277 | − | 1.23247i | ||||
\(447\) | 1.30969 | − | 2.68752i | 0.0619464 | − | 0.127115i | ||||
\(448\) | −17.6075 | − | 3.90314i | −0.831876 | − | 0.184406i | ||||
\(449\) | 20.5109i | 0.967969i | 0.875076 | + | 0.483985i | \(0.160811\pi\) | ||||
−0.875076 | + | 0.483985i | \(0.839189\pi\) | |||||||
\(450\) | −1.91714 | + | 20.6846i | −0.0903747 | + | 0.975080i | ||||
\(451\) | −16.0189 | + | 3.18636i | −0.754301 | + | 0.150040i | ||||
\(452\) | −0.830772 | − | 0.739315i | −0.0390762 | − | 0.0347744i | ||||
\(453\) | 1.46241 | + | 10.7191i | 0.0687101 | + | 0.503627i | ||||
\(454\) | 22.0450 | − | 35.1657i | 1.03462 | − | 1.65041i | ||||
\(455\) | 4.53148 | + | 1.87700i | 0.212439 | + | 0.0879951i | ||||
\(456\) | 20.8525 | − | 0.553135i | 0.976509 | − | 0.0259029i | ||||
\(457\) | 12.1851 | − | 5.04723i | 0.569994 | − | 0.236099i | −0.0790232 | − | 0.996873i | \(-0.525180\pi\) |
0.649018 | + | 0.760773i | \(0.275180\pi\) | |||||||
\(458\) | −4.61715 | − | 0.779536i | −0.215745 | − | 0.0364253i | ||||
\(459\) | −14.1540 | + | 0.199316i | −0.660652 | + | 0.00930329i | ||||
\(460\) | 3.18400 | + | 1.86926i | 0.148455 | + | 0.0871546i | ||||
\(461\) | 13.4220 | − | 20.0875i | 0.625125 | − | 0.935566i | −0.374839 | − | 0.927090i | \(-0.622302\pi\) |
0.999964 | − | 0.00847605i | \(-0.00269804\pi\) | |||||||
\(462\) | 11.0961 | + | 0.351466i | 0.516237 | + | 0.0163517i | ||||
\(463\) | 13.1623 | − | 13.1623i | 0.611703 | − | 0.611703i | −0.331686 | − | 0.943390i | \(-0.607618\pi\) |
0.943390 | + | 0.331686i | \(0.107618\pi\) | |||||||
\(464\) | −6.69589 | − | 20.7094i | −0.310849 | − | 0.961408i | ||||
\(465\) | −2.54025 | + | 0.875617i | −0.117801 | + | 0.0406058i | ||||
\(466\) | 12.5717 | − | 33.0376i | 0.582372 | − | 1.53044i | ||||
\(467\) | −9.33427 | + | 13.9697i | −0.431938 | + | 0.646441i | −0.982044 | − | 0.188654i | \(-0.939588\pi\) |
0.550105 | + | 0.835095i | \(0.314588\pi\) | |||||||
\(468\) | −35.0631 | + | 20.3430i | −1.62079 | + | 0.940355i | ||||
\(469\) | 4.39701 | − | 22.1053i | 0.203035 | − | 1.02073i | ||||
\(470\) | 2.29053 | − | 1.62881i | 0.105654 | − | 0.0751313i | ||||
\(471\) | 0.265635 | − | 4.36677i | 0.0122398 | − | 0.201210i | ||||
\(472\) | 9.63028 | + | 1.05459i | 0.443269 | + | 0.0485416i | ||||
\(473\) | 0.703512 | + | 0.291404i | 0.0323475 | + | 0.0133988i | ||||
\(474\) | 2.99666 | + | 0.695373i | 0.137641 | + | 0.0319395i | ||||
\(475\) | −17.3348 | + | 11.5828i | −0.795377 | + | 0.531454i | ||||
\(476\) | 5.35233 | + | 11.0552i | 0.245323 | + | 0.506715i | ||||
\(477\) | 16.7082 | − | 19.4167i | 0.765014 | − | 0.889030i | ||||
\(478\) | 0.594292 | + | 20.4223i | 0.0271823 | + | 0.934093i | ||||
\(479\) | − | 15.8581i | − | 0.724575i | −0.932066 | − | 0.362288i | \(-0.881996\pi\) | ||
0.932066 | − | 0.362288i | \(-0.118004\pi\) | |||||||
\(480\) | 0.956511 | − | 3.00678i | 0.0436586 | − | 0.137240i | ||||
\(481\) | 17.3517i | 0.791170i | ||||||||
\(482\) | −25.5007 | + | 0.742076i | −1.16153 | + | 0.0338006i | ||||
\(483\) | 5.69183 | − | 21.6481i | 0.258987 | − | 0.985024i | ||||
\(484\) | −4.56891 | + | 13.1450i | −0.207678 | + | 0.597500i | ||||
\(485\) | −4.64170 | + | 3.10149i | −0.210769 | + | 0.140831i | ||||
\(486\) | 10.0045 | − | 19.6446i | 0.453812 | − | 0.891098i | ||||
\(487\) | 10.8169 | + | 4.48050i | 0.490160 | + | 0.203031i | 0.614053 | − | 0.789265i | \(-0.289538\pi\) |
−0.123893 | + | 0.992296i | \(0.539538\pi\) | |||||||
\(488\) | −5.68075 | + | 10.3549i | −0.257155 | + | 0.468743i | ||||
\(489\) | −3.42626 | − | 0.208423i | −0.154941 | − | 0.00942521i | ||||
\(490\) | −0.506168 | − | 0.711804i | −0.0228663 | − | 0.0321560i | ||||
\(491\) | 3.80658 | − | 19.1370i | 0.171789 | − | 0.863639i | −0.794714 | − | 0.606984i | \(-0.792379\pi\) |
0.966503 | − | 0.256656i | \(-0.0826207\pi\) | |||||||
\(492\) | 27.6157 | − | 5.41930i | 1.24501 | − | 0.244321i | ||||
\(493\) | −8.23526 | + | 12.3249i | −0.370897 | + | 0.555087i | ||||
\(494\) | −38.0240 | − | 14.4691i | −1.71078 | − | 0.650997i | ||||
\(495\) | −0.235428 | + | 1.92794i | −0.0105817 | + | 0.0866544i | ||||
\(496\) | −19.1386 | + | 2.23723i | −0.859348 | + | 0.100454i | ||||
\(497\) | 8.05964 | − | 8.05964i | 0.361524 | − | 0.361524i | ||||
\(498\) | −31.9469 | − | 1.01191i | −1.43158 | − | 0.0453449i | ||||
\(499\) | 8.85369 | − | 13.2505i | 0.396346 | − | 0.593173i | −0.578601 | − | 0.815610i | \(-0.696401\pi\) |
0.974947 | + | 0.222437i | \(0.0714013\pi\) | |||||||
\(500\) | 1.60489 | + | 6.16848i | 0.0717731 | + | 0.275863i | ||||
\(501\) | −11.7583 | − | 8.93509i | −0.525322 | − | 0.399190i | ||||
\(502\) | 2.47005 | − | 14.6300i | 0.110244 | − | 0.652968i | ||||
\(503\) | 36.1445 | − | 14.9715i | 1.61160 | − | 0.667547i | 0.618607 | − | 0.785701i | \(-0.287697\pi\) |
0.992995 | + | 0.118153i | \(0.0376974\pi\) | |||||||
\(504\) | −19.1177 | − | 0.654777i | −0.851571 | − | 0.0291661i | ||||
\(505\) | −5.20973 | − | 2.15794i | −0.231830 | − | 0.0960271i | ||||
\(506\) | −13.8095 | − | 8.65705i | −0.613909 | − | 0.384853i | ||||
\(507\) | 56.0256 | − | 7.64360i | 2.48819 | − | 0.339464i | ||||
\(508\) | −25.1996 | + | 1.46787i | −1.11805 | + | 0.0651263i | ||||
\(509\) | 18.7355 | − | 3.72672i | 0.830436 | − | 0.165184i | 0.238473 | − | 0.971149i | \(-0.423353\pi\) |
0.591963 | + | 0.805965i | \(0.298353\pi\) | |||||||
\(510\) | −2.01036 | + | 0.759080i | −0.0890201 | + | 0.0336126i | ||||
\(511\) | 8.12440i | 0.359402i | ||||||||
\(512\) | 11.3131 | − | 19.5962i | 0.499975 | − | 0.866040i | ||||
\(513\) | 21.6372 | − | 4.62154i | 0.955305 | − | 0.204046i | ||||
\(514\) | −12.5856 | − | 11.8738i | −0.555128 | − | 0.523733i | ||||
\(515\) | 0.368551 | + | 1.85283i | 0.0162403 | + | 0.0816454i | ||||
\(516\) | −1.21091 | − | 0.505226i | −0.0533071 | − | 0.0222414i | ||||
\(517\) | −10.3162 | + | 6.89309i | −0.453708 | + | 0.303158i | ||||
\(518\) | −4.34907 | + | 6.93755i | −0.191087 | + | 0.304818i | ||||
\(519\) | 11.8713 | − | 10.5098i | 0.521090 | − | 0.461329i | ||||
\(520\) | −3.95556 | + | 4.71414i | −0.173463 | + | 0.206729i | ||||
\(521\) | 12.4390 | + | 30.0303i | 0.544961 | + | 1.31565i | 0.921185 | + | 0.389124i | \(0.127222\pi\) |
−0.376224 | + | 0.926529i | \(0.622778\pi\) | |||||||
\(522\) | −10.9993 | − | 20.2964i | −0.481425 | − | 0.888349i | ||||
\(523\) | −1.09535 | + | 5.50671i | −0.0478965 | + | 0.240792i | −0.997316 | − | 0.0732190i | \(-0.976673\pi\) |
0.949419 | + | 0.314011i | \(0.101673\pi\) | |||||||
\(524\) | 31.1562 | − | 8.10611i | 1.36106 | − | 0.354117i | ||||
\(525\) | 16.5120 | − | 9.63683i | 0.720643 | − | 0.420586i | ||||
\(526\) | −15.5493 | + | 6.97732i | −0.677982 | + | 0.304226i | ||||
\(527\) | 9.27945 | + | 9.27945i | 0.404219 | + | 0.404219i | ||||
\(528\) | −4.60675 | + | 13.1448i | −0.200483 | + | 0.572052i | ||||
\(529\) | −6.97387 | + | 6.97387i | −0.303212 | + | 0.303212i | ||||
\(530\) | 1.38300 | − | 3.63443i | 0.0600735 | − | 0.157869i | ||||
\(531\) | 10.2468 | − | 0.768273i | 0.444671 | − | 0.0333402i | ||||
\(532\) | −11.5761 | − | 15.3155i | −0.501889 | − | 0.664009i | ||||
\(533\) | −53.8328 | − | 10.7080i | −2.33176 | − | 0.463815i | ||||
\(534\) | 2.91399 | + | 17.5340i | 0.126101 | + | 0.758772i | ||||
\(535\) | 3.18138 | − | 1.31777i | 0.137543 | − | 0.0569722i | ||||
\(536\) | 24.7919 | + | 13.6010i | 1.07085 | + | 0.587473i | ||||
\(537\) | 3.22707 | − | 2.85697i | 0.139259 | − | 0.123288i | ||||
\(538\) | 1.10598 | + | 4.82244i | 0.0476821 | + | 0.207910i | ||||
\(539\) | 2.14210 | + | 3.20587i | 0.0922666 | + | 0.138087i | ||||
\(540\) | 0.414203 | − | 3.32092i | 0.0178244 | − | 0.142910i | ||||
\(541\) | −25.0153 | + | 4.97586i | −1.07549 | + | 0.213929i | −0.700900 | − | 0.713260i | \(-0.747218\pi\) |
−0.374594 | + | 0.927189i | \(0.622218\pi\) | |||||||
\(542\) | 0.812001 | + | 27.9036i | 0.0348784 | + | 1.19856i | ||||
\(543\) | −1.44700 | + | 2.96927i | −0.0620966 | + | 0.127424i | ||||
\(544\) | −15.2477 | + | 2.23371i | −0.653740 | + | 0.0957694i | ||||
\(545\) | 5.36694 | 0.229894 | ||||||||
\(546\) | 33.9988 | + | 15.3612i | 1.45501 | + | 0.657399i | ||||
\(547\) | 2.01752 | + | 10.1427i | 0.0862628 | + | 0.433673i | 0.999647 | + | 0.0265735i | \(0.00845961\pi\) |
−0.913384 | + | 0.407099i | \(0.866540\pi\) | |||||||
\(548\) | −38.6313 | + | 18.7031i | −1.65025 | + | 0.798958i | ||||
\(549\) | −3.91521 | + | 11.8997i | −0.167097 | + | 0.507865i | ||||
\(550\) | −3.11185 | − | 13.5687i | −0.132690 | − | 0.578573i | ||||
\(551\) | 8.86632 | − | 21.4052i | 0.377718 | − | 0.911892i | ||||
\(552\) | 23.7564 | + | 14.9779i | 1.01114 | + | 0.637500i | ||||
\(553\) | −1.08346 | − | 2.61572i | −0.0460736 | − | 0.111232i | ||||
\(554\) | −2.47388 | − | 3.47892i | −0.105105 | − | 0.147805i | ||||
\(555\) | −1.14057 | − | 0.866717i | −0.0484146 | − | 0.0367901i | ||||
\(556\) | −23.4037 | − | 3.25432i | −0.992537 | − | 0.138014i | ||||
\(557\) | −26.6333 | − | 17.7958i | −1.12849 | − | 0.754032i | −0.156179 | − | 0.987729i | \(-0.549918\pi\) |
−0.972310 | + | 0.233697i | \(0.924918\pi\) | |||||||
\(558\) | −19.5232 | + | 6.04521i | −0.826485 | + | 0.255914i | ||||
\(559\) | 1.80949 | + | 1.80949i | 0.0765331 | + | 0.0765331i | ||||
\(560\) | −2.76307 | + | 0.893374i | −0.116761 | + | 0.0377519i | ||||
\(561\) | 8.96829 | − | 3.09134i | 0.378641 | − | 0.130517i | ||||
\(562\) | 2.87147 | − | 1.28849i | 0.121126 | − | 0.0543517i | ||||
\(563\) | −20.2258 | − | 13.5144i | −0.852415 | − | 0.569565i | 0.0508221 | − | 0.998708i | \(-0.483816\pi\) |
−0.903237 | + | 0.429142i | \(0.858816\pi\) | |||||||
\(564\) | 17.8061 | − | 11.8315i | 0.749771 | − | 0.498196i | ||||
\(565\) | −0.175625 | − | 0.0349340i | −0.00738860 | − | 0.00146968i | ||||
\(566\) | 6.30187 | − | 37.3256i | 0.264887 | − | 1.56891i | ||||
\(567\) | −20.0624 | + | 3.02546i | −0.842543 | + | 0.127057i | ||||
\(568\) | 6.60336 | + | 12.6846i | 0.277071 | + | 0.532236i | ||||
\(569\) | −0.691524 | + | 1.66949i | −0.0289902 | + | 0.0699885i | −0.937712 | − | 0.347415i | \(-0.887060\pi\) |
0.908721 | + | 0.417403i | \(0.137060\pi\) | |||||||
\(570\) | 2.85039 | − | 1.77668i | 0.119390 | − | 0.0744170i | ||||
\(571\) | −0.641074 | − | 0.959434i | −0.0268281 | − | 0.0401511i | 0.817813 | − | 0.575484i | \(-0.195186\pi\) |
−0.844641 | + | 0.535333i | \(0.820186\pi\) | |||||||
\(572\) | 18.0595 | − | 20.2935i | 0.755104 | − | 0.848514i | ||||
\(573\) | −1.15603 | + | 4.39682i | −0.0482940 | + | 0.183680i | ||||
\(574\) | −18.8395 | − | 17.7740i | −0.786345 | − | 0.741874i | ||||
\(575\) | −28.0684 | −1.17053 | ||||||||
\(576\) | 7.99598 | − | 22.6288i | 0.333166 | − | 0.942868i | ||||
\(577\) | 0.766924 | 0.0319275 | 0.0159637 | − | 0.999873i | \(-0.494918\pi\) | ||||
0.0159637 | + | 0.999873i | \(0.494918\pi\) | |||||||
\(578\) | −9.85325 | − | 9.29601i | −0.409841 | − | 0.386663i | ||||
\(579\) | 2.18429 | − | 8.30767i | 0.0907761 | − | 0.345255i | ||||
\(580\) | −2.61797 | − | 2.32976i | −0.108705 | − | 0.0967381i | ||||
\(581\) | 16.3431 | + | 24.4592i | 0.678026 | + | 1.01474i | ||||
\(582\) | −36.0357 | + | 22.4615i | −1.49373 | + | 0.931057i | ||||
\(583\) | −6.56923 | + | 15.8595i | −0.272070 | + | 0.656835i | ||||
\(584\) | −9.72150 | − | 3.06507i | −0.402278 | − | 0.126834i | ||||
\(585\) | −3.21035 | + | 5.68304i | −0.132732 | + | 0.234965i | ||||
\(586\) | −1.56711 | + | 9.28190i | −0.0647367 | + | 0.383432i | ||||
\(587\) | 23.1849 | + | 4.61175i | 0.956941 | + | 0.190347i | 0.648771 | − | 0.760984i | \(-0.275283\pi\) |
0.308170 | + | 0.951331i | \(0.400283\pi\) | |||||||
\(588\) | −3.67676 | − | 5.53342i | −0.151627 | − | 0.228194i | ||||
\(589\) | −17.0549 | − | 11.3957i | −0.702735 | − | 0.469552i | ||||
\(590\) | 1.42318 | − | 0.638614i | 0.0585915 | − | 0.0262913i | ||||
\(591\) | −31.7188 | + | 10.9334i | −1.30474 | + | 0.449739i | ||||
\(592\) | −6.66056 | − | 7.82132i | −0.273747 | − | 0.321454i | ||||
\(593\) | −20.6292 | − | 20.6292i | −0.847139 | − | 0.847139i | 0.142636 | − | 0.989775i | \(-0.454442\pi\) |
−0.989775 | + | 0.142636i | \(0.954442\pi\) | |||||||
\(594\) | −2.25412 | + | 14.6006i | −0.0924877 | + | 0.599068i | ||||
\(595\) | 1.64441 | + | 1.09876i | 0.0674142 | + | 0.0450447i | ||||
\(596\) | 0.475454 | − | 3.41927i | 0.0194754 | − | 0.140059i | ||||
\(597\) | 29.0042 | + | 22.0402i | 1.18706 | + | 0.902045i | ||||
\(598\) | −31.7421 | − | 44.6377i | −1.29803 | − | 1.82537i | ||||
\(599\) | 8.89924 | + | 21.4847i | 0.363613 | + | 0.877840i | 0.994766 | + | 0.102181i | \(0.0325821\pi\) |
−0.631153 | + | 0.775659i | \(0.717418\pi\) | |||||||
\(600\) | 5.30179 | + | 23.3936i | 0.216445 | + | 0.955039i | ||||
\(601\) | 4.20520 | − | 10.1522i | 0.171534 | − | 0.414119i | −0.814611 | − | 0.580008i | \(-0.803049\pi\) |
0.986144 | + | 0.165889i | \(0.0530494\pi\) | |||||||
\(602\) | 0.269934 | + | 1.17700i | 0.0110017 | + | 0.0479710i | ||||
\(603\) | 28.4905 | + | 9.37388i | 1.16022 | + | 0.381734i | ||||
\(604\) | 5.44352 | + | 11.2436i | 0.221494 | + | 0.457495i | ||||
\(605\) | 0.437150 | + | 2.19770i | 0.0177727 | + | 0.0893493i | ||||
\(606\) | −39.0876 | − | 17.6604i | −1.58782 | − | 0.717405i | ||||
\(607\) | 26.3541 | 1.06968 | 0.534839 | − | 0.844954i | \(-0.320372\pi\) | ||||
0.534839 | + | 0.844954i | \(0.320372\pi\) | |||||||
\(608\) | 22.6935 | − | 8.07375i | 0.920342 | − | 0.327434i | ||||
\(609\) | −9.30744 | + | 19.0991i | −0.377156 | + | 0.773934i | ||||
\(610\) | 0.0553170 | + | 1.90091i | 0.00223972 | + | 0.0769658i | ||||
\(611\) | −40.8943 | + | 8.13438i | −1.65441 | + | 0.329082i | ||||
\(612\) | −15.4666 | + | 5.28683i | −0.625202 | + | 0.213708i | ||||
\(613\) | 10.0384 | + | 15.0235i | 0.405447 | + | 0.606794i | 0.976863 | − | 0.213866i | \(-0.0686057\pi\) |
−0.571416 | + | 0.820661i | \(0.693606\pi\) | |||||||
\(614\) | 2.57273 | + | 11.2180i | 0.103827 | + | 0.452720i | ||||
\(615\) | 3.39281 | − | 3.00370i | 0.136811 | − | 0.121121i | ||||
\(616\) | 12.3069 | − | 3.58727i | 0.495860 | − | 0.144535i | ||||
\(617\) | −5.87613 | + | 2.43397i | −0.236564 | + | 0.0979880i | −0.497816 | − | 0.867283i | \(-0.665865\pi\) |
0.261252 | + | 0.965271i | \(0.415865\pi\) | |||||||
\(618\) | 2.35575 | + | 14.1750i | 0.0947621 | + | 0.570201i | ||||
\(619\) | −20.4512 | − | 4.06799i | −0.822002 | − | 0.163506i | −0.233867 | − | 0.972269i | \(-0.575138\pi\) |
−0.588136 | + | 0.808762i | \(0.700138\pi\) | |||||||
\(620\) | −2.47511 | + | 1.87081i | −0.0994030 | + | 0.0751334i | ||||
\(621\) | 27.6777 | + | 11.0105i | 1.11067 | + | 0.441837i | ||||
\(622\) | −3.55943 | + | 9.35396i | −0.142720 | + | 0.375060i | ||||
\(623\) | 11.5673 | − | 11.5673i | 0.463434 | − | 0.463434i | ||||
\(624\) | −31.2075 | + | 34.8870i | −1.24930 | + | 1.39660i | ||||
\(625\) | −16.5853 | − | 16.5853i | −0.663413 | − | 0.663413i | ||||
\(626\) | 11.8635 | − | 5.32343i | 0.474162 | − | 0.212767i | ||||
\(627\) | −12.8057 | + | 7.47371i | −0.511408 | + | 0.298471i | ||||
\(628\) | −1.27197 | − | 4.88887i | −0.0507571 | − | 0.195087i | ||||
\(629\) | −1.36495 | + | 6.86207i | −0.0544241 | + | 0.273609i | ||||
\(630\) | −2.70797 | + | 1.46754i | −0.107888 | + | 0.0584681i | ||||
\(631\) | 6.73460 | + | 16.2588i | 0.268100 | + | 0.647251i | 0.999394 | − | 0.0348118i | \(-0.0110832\pi\) |
−0.731294 | + | 0.682063i | \(0.761083\pi\) | |||||||
\(632\) | 3.53867 | − | 0.309627i | 0.140761 | − | 0.0123163i | ||||
\(633\) | 26.1023 | − | 23.1088i | 1.03747 | − | 0.918491i | ||||
\(634\) | −12.6883 | + | 20.2400i | −0.503915 | + | 0.803835i | ||||
\(635\) | −3.37944 | + | 2.25807i | −0.134109 | + | 0.0896088i | ||||
\(636\) | 11.3895 | − | 27.2979i | 0.451623 | − | 1.08243i | ||||
\(637\) | 2.52784 | + | 12.7083i | 0.100157 | + | 0.503521i | ||||
\(638\) | 11.2528 | + | 10.6164i | 0.445501 | + | 0.420306i | ||||
\(639\) | 9.34624 | + | 11.9464i | 0.369732 | + | 0.472591i | ||||
\(640\) | −0.0265760 | − | 3.64328i | −0.00105051 | − | 0.144013i | ||||
\(641\) | − | 28.1848i | − | 1.11323i | −0.830769 | − | 0.556617i | \(-0.812099\pi\) | ||
0.830769 | − | 0.556617i | \(-0.187901\pi\) | |||||||
\(642\) | 24.5039 | − | 9.25231i | 0.967093 | − | 0.365160i | ||||
\(643\) | 19.4913 | − | 3.87706i | 0.768661 | − | 0.152896i | 0.204843 | − | 0.978795i | \(-0.434332\pi\) |
0.563819 | + | 0.825899i | \(0.309332\pi\) | |||||||
\(644\) | −1.50301 | − | 25.8029i | −0.0592271 | − | 1.01678i | ||||
\(645\) | −0.209326 | + | 0.0285585i | −0.00824220 | + | 0.00112449i | ||||
\(646\) | −13.8991 | − | 8.71321i | −0.546854 | − | 0.342817i | ||||
\(647\) | −6.99175 | − | 2.89608i | −0.274874 | − | 0.113856i | 0.240988 | − | 0.970528i | \(-0.422528\pi\) |
−0.515862 | + | 0.856671i | \(0.672528\pi\) | |||||||
\(648\) | 3.94870 | − | 25.1477i | 0.155120 | − | 0.987896i | ||||
\(649\) | −6.36188 | + | 2.63518i | −0.249726 | + | 0.103440i | ||||
\(650\) | 7.78831 | − | 46.1297i | 0.305483 | − | 1.80936i | ||||
\(651\) | 14.9763 | + | 11.3804i | 0.586968 | + | 0.446035i | ||||
\(652\) | −3.83591 | + | 0.998015i | −0.150226 | + | 0.0390853i | ||||
\(653\) | 8.08356 | − | 12.0979i | 0.316334 | − | 0.473428i | −0.638895 | − | 0.769294i | \(-0.720608\pi\) |
0.955229 | + | 0.295866i | \(0.0956082\pi\) | |||||||
\(654\) | 40.8024 | + | 1.29241i | 1.59550 | + | 0.0505371i | ||||
\(655\) | 3.66539 | − | 3.66539i | 0.143219 | − | 0.143219i | ||||
\(656\) | 28.3756 | − | 15.8374i | 1.10788 | − | 0.618346i | ||||
\(657\) | −10.7318 | − | 1.31051i | −0.418689 | − | 0.0511278i | ||||
\(658\) | −18.3891 | − | 6.99756i | −0.716883 | − | 0.272793i | ||||
\(659\) | −17.4476 | + | 26.1122i | −0.679662 | + | 1.01719i | 0.317949 | + | 0.948108i | \(0.397006\pi\) |
−0.997611 | + | 0.0690788i | \(0.977994\pi\) | |||||||
\(660\) | 0.431876 | + | 2.20075i | 0.0168107 | + | 0.0856643i | ||||
\(661\) | −9.56822 | + | 48.1027i | −0.372161 | + | 1.87098i | 0.108537 | + | 0.994092i | \(0.465383\pi\) |
−0.480698 | + | 0.876886i | \(0.659617\pi\) | |||||||
\(662\) | −25.4218 | − | 35.7497i | −0.988047 | − | 1.38945i | ||||
\(663\) | 31.8200 | + | 1.93565i | 1.23579 | + | 0.0751742i | ||||
\(664\) | −35.4331 | + | 10.3282i | −1.37507 | + | 0.400811i | ||||
\(665\) | −2.85591 | − | 1.18296i | −0.110747 | − | 0.0458730i | ||||
\(666\) | −8.46255 | − | 6.86392i | −0.327917 | − | 0.265972i | ||||
\(667\) | 25.9355 | − | 17.3295i | 1.00423 | − | 0.671003i | ||||
\(668\) | −16.1074 | − | 5.59856i | −0.623213 | − | 0.216615i | ||||
\(669\) | 11.1441 | − | 42.3852i | 0.430857 | − | 1.63871i | ||||
\(670\) | 4.55122 | − | 0.132441i | 0.175829 | − | 0.00511665i | ||||
\(671\) | − | 8.39500i | − | 0.324085i | ||||||
\(672\) | −21.2215 | + | 6.12655i | −0.818638 | + | 0.236337i | ||||
\(673\) | − | 15.6745i | − | 0.604209i | −0.953275 | − | 0.302104i | \(-0.902311\pi\) | ||
0.953275 | − | 0.302104i | \(-0.0976891\pi\) | |||||||
\(674\) | 1.13543 | + | 39.0180i | 0.0437352 | + | 1.50292i | ||||
\(675\) | 10.0662 | + | 23.3658i | 0.387448 | + | 0.899351i | ||||
\(676\) | 58.7670 | − | 28.4517i | 2.26027 | − | 1.09430i | ||||
\(677\) | 30.4472 | − | 20.3442i | 1.17018 | − | 0.781889i | 0.190349 | − | 0.981716i | \(-0.439038\pi\) |
0.979831 | + | 0.199827i | \(0.0640380\pi\) | |||||||
\(678\) | −1.32679 | − | 0.307880i | −0.0509549 | − | 0.0118240i | ||||
\(679\) | 36.1054 | + | 14.9553i | 1.38560 | + | 0.573933i | ||||
\(680\) | −1.93513 | + | 1.55314i | −0.0742090 | + | 0.0595602i | ||||
\(681\) | 3.08647 | − | 50.7384i | 0.118274 | − | 1.94430i | ||||
\(682\) | 11.1618 | − | 7.93722i | 0.427408 | − | 0.303932i | ||||
\(683\) | −3.40112 | + | 17.0986i | −0.130140 | + | 0.654259i | 0.859552 | + | 0.511048i | \(0.170743\pi\) |
−0.989692 | + | 0.143211i | \(0.954257\pi\) | |||||||
\(684\) | 22.0981 | − | 12.8209i | 0.844941 | − | 0.490220i | ||||
\(685\) | −3.83949 | + | 5.74621i | −0.146700 | + | 0.219551i | ||||
\(686\) | −10.1116 | + | 26.5726i | −0.386062 | + | 1.01455i | ||||
\(687\) | −5.42180 | + | 1.86888i | −0.206855 | + | 0.0713022i | ||||
\(688\) | −1.51021 | − | 0.121047i | −0.0575763 | − | 0.00461489i | ||||
\(689\) | −40.7919 | + | 40.7919i | −1.55405 | + | 1.55405i | ||||
\(690\) | 4.51967 | + | 0.143160i | 0.172061 | + | 0.00544999i | ||||
\(691\) | −12.1543 | + | 18.1901i | −0.462370 | + | 0.691985i | −0.987248 | − | 0.159193i | \(-0.949111\pi\) |
0.524878 | + | 0.851177i | \(0.324111\pi\) | |||||||
\(692\) | 9.26887 | − | 15.7881i | 0.352350 | − | 0.600174i | ||||
\(693\) | 12.1375 | − | 6.12787i | 0.461066 | − | 0.232779i | ||||
\(694\) | 45.4512 | + | 7.67374i | 1.72530 | + | 0.291291i | ||||
\(695\) | −3.51501 | + | 1.45597i | −0.133332 | + | 0.0552279i | ||||
\(696\) | −19.3422 | − | 18.3426i | −0.733164 | − | 0.695273i | ||||
\(697\) | −20.4469 | − | 8.46937i | −0.774481 | − | 0.320800i | ||||
\(698\) | −3.95423 | + | 6.30771i | −0.149670 | + | 0.238750i | ||||
\(699\) | −5.85229 | − | 42.8958i | −0.221354 | − | 1.62247i | ||||
\(700\) | 14.6760 | − | 16.4915i | 0.554700 | − | 0.623319i | ||||
\(701\) | 24.9143 | − | 4.95577i | 0.941001 | − | 0.187177i | 0.299324 | − | 0.954152i | \(-0.403239\pi\) |
0.641677 | + | 0.766975i | \(0.278239\pi\) | |||||||
\(702\) | −25.7754 | + | 42.4325i | −0.972829 | + | 1.60151i | ||||
\(703\) | − | 10.9357i | − | 0.412448i | ||||||
\(704\) | −0.350551 | + | 16.0796i | −0.0132119 | + | 0.606022i | ||||
\(705\) | 1.50797 | − | 3.09440i | 0.0567936 | − | 0.116542i | ||||
\(706\) | −2.40284 | + | 2.54688i | −0.0904320 | + | 0.0958529i | ||||
\(707\) | 7.70125 | + | 38.7168i | 0.289635 | + | 1.45610i | ||||
\(708\) | 10.9736 | − | 4.51238i | 0.412413 | − | 0.169586i | ||||
\(709\) | 20.7869 | − | 13.8894i | 0.780669 | − | 0.521626i | −0.100211 | − | 0.994966i | \(-0.531952\pi\) |
0.880880 | + | 0.473340i | \(0.156952\pi\) | |||||||
\(710\) | 1.95095 | + | 1.22303i | 0.0732179 | + | 0.0458995i | ||||
\(711\) | 3.62997 | − | 1.00926i | 0.136135 | − | 0.0378503i | ||||
\(712\) | 9.47723 | + | 18.2052i | 0.355174 | + | 0.682267i | ||||
\(713\) | −10.5679 | − | 25.5131i | −0.395769 | − | 0.955472i | ||||
\(714\) | 12.2371 | + | 8.74935i | 0.457962 | + | 0.327436i | ||||
\(715\) | 0.853343 | − | 4.29005i | 0.0319132 | − | 0.160439i | ||||
\(716\) | 2.51964 | − | 4.29183i | 0.0941635 | − | 0.160393i | ||||
\(717\) | 12.6129 | + | 21.6113i | 0.471037 | + | 0.807088i | ||||
\(718\) | 16.4020 | + | 36.5526i | 0.612116 | + | 1.36413i | ||||
\(719\) | 13.1645 | + | 13.1645i | 0.490955 | + | 0.490955i | 0.908607 | − | 0.417652i | \(-0.137147\pi\) |
−0.417652 | + | 0.908607i | \(0.637147\pi\) | |||||||
\(720\) | −0.734395 | − | 3.79396i | −0.0273693 | − | 0.141392i | ||||
\(721\) | 9.35130 | − | 9.35130i | 0.348261 | − | 0.348261i | ||||
\(722\) | −1.14915 | − | 0.437281i | −0.0427668 | − | 0.0162739i | ||||
\(723\) | −26.9854 | + | 15.7494i | −1.00360 | + | 0.585726i | ||||
\(724\) | −0.525299 | + | 3.77773i | −0.0195226 | + | 0.140398i | ||||
\(725\) | 26.1300 | + | 5.19758i | 0.970443 | + | 0.193033i | ||||
\(726\) | 2.79423 | + | 16.8134i | 0.103704 | + | 0.624004i | ||||
\(727\) | 11.5882 | − | 4.80000i | 0.429783 | − | 0.178022i | −0.157296 | − | 0.987552i | \(-0.550278\pi\) |
0.587079 | + | 0.809529i | \(0.300278\pi\) | |||||||
\(728\) | 42.8235 | + | 4.68953i | 1.58715 | + | 0.173805i | ||||
\(729\) | −0.760276 | − | 26.9893i | −0.0281584 | − | 0.999603i | ||||
\(730\) | −1.59974 | + | 0.366885i | −0.0592091 | + | 0.0135790i | ||||
\(731\) | 0.573255 | + | 0.857937i | 0.0212026 | + | 0.0317320i | ||||
\(732\) | −0.0372070 | + | 14.4651i | −0.00137521 | + | 0.534646i | ||||
\(733\) | −21.4455 | + | 4.26578i | −0.792109 | + | 0.157560i | −0.574531 | − | 0.818483i | \(-0.694816\pi\) |
−0.217578 | + | 0.976043i | \(0.569816\pi\) | |||||||
\(734\) | −20.8320 | + | 0.606215i | −0.768923 | + | 0.0223758i | ||||
\(735\) | −0.961615 | − | 0.468618i | −0.0354697 | − | 0.0172852i | ||||
\(736\) | 31.4423 | + | 7.93614i | 1.15898 | + | 0.292530i | ||||
\(737\) | −20.0995 | −0.740375 | ||||||||
\(738\) | 26.5173 | − | 22.0188i | 0.976116 | − | 0.810523i | ||||
\(739\) | 0.815466 | + | 4.09963i | 0.0299974 | + | 0.150807i | 0.992881 | − | 0.119109i | \(-0.0380039\pi\) |
−0.962884 | + | 0.269916i | \(0.913004\pi\) | |||||||
\(740\) | −1.56244 | − | 0.543069i | −0.0574364 | − | 0.0199636i | ||||
\(741\) | −49.3700 | + | 6.73558i | −1.81365 | + | 0.247438i | ||||
\(742\) | −26.5336 | + | 6.08521i | −0.974078 | + | 0.223395i | ||||
\(743\) | −18.9980 | + | 45.8653i | −0.696971 | + | 1.68264i | 0.0332705 | + | 0.999446i | \(0.489408\pi\) |
−0.730241 | + | 0.683190i | \(0.760592\pi\) | |||||||
\(744\) | −19.2677 | + | 13.6269i | −0.706388 | + | 0.499586i | ||||
\(745\) | −0.212716 | − | 0.513541i | −0.00779330 | − | 0.0188147i | ||||
\(746\) | −28.1528 | + | 20.0196i | −1.03075 | + | 0.732971i | ||||
\(747\) | −34.9453 | + | 17.6429i | −1.27858 | + | 0.645519i | ||||
\(748\) | 8.73832 | − | 6.60483i | 0.319505 | − | 0.241497i | ||||
\(749\) | −20.0434 | − | 13.3926i | −0.732371 | − | 0.489355i | ||||
\(750\) | 5.34239 | + | 5.69190i | 0.195076 | + | 0.207839i | ||||
\(751\) | 5.25394 | + | 5.25394i | 0.191719 | + | 0.191719i | 0.796439 | − | 0.604719i | \(-0.206715\pi\) |
−0.604719 | + | 0.796439i | \(0.706715\pi\) | |||||||
\(752\) | 15.3108 | − | 19.3641i | 0.558326 | − | 0.706137i | ||||
\(753\) | −5.92176 | − | 17.1796i | −0.215801 | − | 0.626060i | ||||
\(754\) | 21.2842 | + | 47.4328i | 0.775124 | + | 1.72740i | ||||
\(755\) | 1.67243 | + | 1.11748i | 0.0608659 | + | 0.0406693i | ||||
\(756\) | −20.9409 | + | 10.5049i | −0.761612 | + | 0.382060i | ||||
\(757\) | 44.0623 | + | 8.76455i | 1.60147 | + | 0.318553i | 0.913392 | − | 0.407081i | \(-0.133453\pi\) |
0.688081 | + | 0.725634i | \(0.258453\pi\) | |||||||
\(758\) | 1.60418 | + | 0.270841i | 0.0582664 | + | 0.00983741i | ||||
\(759\) | −19.9249 | − | 1.21205i | −0.723229 | − | 0.0439948i | ||||
\(760\) | 2.49294 | − | 2.97103i | 0.0904285 | − | 0.107771i | ||||
\(761\) | 1.54727 | − | 3.73543i | 0.0560884 | − | 0.135409i | −0.893351 | − | 0.449359i | \(-0.851652\pi\) |
0.949440 | + | 0.313950i | \(0.101652\pi\) | |||||||
\(762\) | −26.2361 | + | 16.3533i | −0.950435 | + | 0.592417i | ||||
\(763\) | −20.8733 | − | 31.2391i | −0.755664 | − | 1.13093i | ||||
\(764\) | 0.305268 | + | 5.24068i | 0.0110442 | + | 0.189601i | ||||
\(765\) | −1.71664 | + | 1.99493i | −0.0620654 | + | 0.0721268i | ||||
\(766\) | −7.02159 | + | 7.44250i | −0.253700 | + | 0.268908i | ||||
\(767\) | −23.1411 | −0.835576 | ||||||||
\(768\) | 0.675288 | − | 27.7046i | 0.0243674 | − | 0.999703i | ||||
\(769\) | −29.6799 | −1.07029 | −0.535143 | − | 0.844762i | \(-0.679742\pi\) | ||||
−0.535143 | + | 0.844762i | \(0.679742\pi\) | |||||||
\(770\) | 1.41645 | − | 1.50136i | 0.0510453 | − | 0.0541052i | ||||
\(771\) | −20.4949 | − | 5.38862i | −0.738106 | − | 0.194066i | ||||
\(772\) | −0.576796 | − | 9.90212i | −0.0207593 | − | 0.356385i | ||||
\(773\) | −18.6735 | − | 27.9468i | −0.671638 | − | 1.00518i | −0.998198 | − | 0.0600013i | \(-0.980890\pi\) |
0.326560 | − | 0.945176i | \(-0.394110\pi\) | |||||||
\(774\) | −1.59829 | + | 0.166710i | −0.0574493 | + | 0.00599225i | ||||
\(775\) | 9.02618 | − | 21.7911i | 0.324230 | − | 0.782761i | ||||
\(776\) | −31.5167 | + | 37.5608i | −1.13138 | + | 1.34835i | ||||
\(777\) | −0.608904 | + | 10.0098i | −0.0218443 | + | 0.359098i | ||||
\(778\) | 30.4681 | + | 5.14409i | 1.09234 | + | 0.184424i | ||||
\(779\) | 33.9274 | + | 6.74859i | 1.21558 | + | 0.241793i | ||||
\(780\) | −1.48938 | + | 7.38824i | −0.0533283 | + | 0.264541i | ||||
\(781\) | −8.45164 | − | 5.64720i | −0.302423 | − | 0.202073i | ||||
\(782\) | −9.04167 | − | 20.1498i | −0.323330 | − | 0.720556i | ||||
\(783\) | −23.7274 | − | 15.3753i | −0.847948 | − | 0.549470i | ||||
\(784\) | −6.01759 | − | 4.75797i | −0.214914 | − | 0.169927i | ||||
\(785\) | −0.575155 | − | 0.575155i | −0.0205282 | − | 0.0205282i | ||||
\(786\) | 28.7490 | − | 26.9837i | 1.02544 | − | 0.962476i | ||||
\(787\) | −24.4667 | − | 16.3481i | −0.872142 | − | 0.582747i | 0.0369617 | − | 0.999317i | \(-0.488232\pi\) |
−0.909104 | + | 0.416570i | \(0.863232\pi\) | |||||||
\(788\) | −30.9054 | + | 23.3598i | −1.10096 | + | 0.832157i | ||||
\(789\) | −12.6290 | + | 16.6194i | −0.449605 | + | 0.591666i | ||||
\(790\) | 0.466122 | − | 0.331462i | 0.0165839 | − | 0.0117929i | ||||
\(791\) | 0.479709 | + | 1.15812i | 0.0170565 | + | 0.0411780i | ||||
\(792\) | 2.75339 | + | 16.8353i | 0.0978376 | + | 0.598218i | ||||
\(793\) | 10.7963 | − | 26.0645i | 0.383387 | − | 0.925579i | ||||
\(794\) | −4.78316 | + | 1.09697i | −0.169748 | + | 0.0389300i | ||||
\(795\) | −0.643804 | − | 4.71891i | −0.0228334 | − | 0.167363i | ||||
\(796\) | 39.7321 | + | 13.8100i | 1.40827 | + | 0.489482i | ||||
\(797\) | 2.54838 | + | 12.8116i | 0.0902682 | + | 0.453809i | 0.999311 | + | 0.0371067i | \(0.0118141\pi\) |
−0.909043 | + | 0.416702i | \(0.863186\pi\) | |||||||
\(798\) | −21.4273 | − | 9.68121i | −0.758519 | − | 0.342711i | ||||
\(799\) | −16.8123 | −0.594777 | ||||||||
\(800\) | 14.1966 | + | 23.7827i | 0.501925 | + | 0.840844i | ||||
\(801\) | 13.4138 | + | 17.1456i | 0.473955 | + | 0.605809i | ||||
\(802\) | 7.05509 | − | 0.205304i | 0.249124 | − | 0.00724955i | ||||
\(803\) | 7.10606 | − | 1.41348i | 0.250768 | − | 0.0498808i | ||||
\(804\) | 34.6327 | + | 0.0890818i | 1.22140 | + | 0.00314167i | ||||
\(805\) | −2.31213 | − | 3.46035i | −0.0814919 | − | 0.121961i | ||||
\(806\) | 44.8624 | − | 10.2887i | 1.58021 | − | 0.362406i | ||||
\(807\) | 4.01671 | + | 4.53704i | 0.141395 | + | 0.159711i | ||||
\(808\) | −49.2332 | − | 5.39144i | −1.73202 | − | 0.189670i | ||||
\(809\) | 31.1624 | − | 12.9079i | 1.09561 | − | 0.453817i | 0.239652 | − | 0.970859i | \(-0.422967\pi\) |
0.855960 | + | 0.517042i | \(0.172967\pi\) | |||||||
\(810\) | −1.50172 | − | 3.81378i | −0.0527650 | − | 0.134003i | ||||
\(811\) | 7.73289 | + | 1.53817i | 0.271539 | + | 0.0540124i | 0.328981 | − | 0.944336i | \(-0.393295\pi\) |
−0.0574428 | + | 0.998349i | \(0.518295\pi\) | |||||||
\(812\) | −3.37885 | + | 24.2993i | −0.118574 | + | 0.852737i | ||||
\(813\) | 17.2334 | + | 29.5282i | 0.604402 | + | 1.03560i | ||||
\(814\) | 6.82462 | + | 2.59695i | 0.239203 | + | 0.0910230i | ||||
\(815\) | −0.451279 | + | 0.451279i | −0.0158076 | + | 0.0158076i | ||||
\(816\) | −15.0860 | + | 11.3418i | −0.528114 | + | 0.397043i | ||||
\(817\) | −1.14041 | − | 1.14041i | −0.0398978 | − | 0.0398978i | ||||
\(818\) | 8.44984 | + | 18.8309i | 0.295442 | + | 0.658406i | ||||
\(819\) | 45.5648 | − | 3.41633i | 1.59216 | − | 0.119376i | ||||
\(820\) | 2.64905 | − | 4.51225i | 0.0925088 | − | 0.157575i | ||||
\(821\) | −5.50701 | + | 27.6856i | −0.192196 | + | 0.966235i | 0.757446 | + | 0.652898i | \(0.226447\pi\) |
−0.949642 | + | 0.313337i | \(0.898553\pi\) | |||||||
\(822\) | −30.5737 | + | 42.7613i | −1.06638 | + | 1.49147i | ||||
\(823\) | 13.7474 | + | 33.1891i | 0.479203 | + | 1.15690i | 0.959983 | + | 0.280057i | \(0.0903533\pi\) |
−0.480781 | + | 0.876841i | \(0.659647\pi\) | |||||||
\(824\) | 7.66164 | + | 14.7175i | 0.266906 | + | 0.512709i | ||||
\(825\) | −11.3017 | − | 12.7657i | −0.393474 | − | 0.444445i | ||||
\(826\) | −9.25225 | − | 5.80014i | −0.321927 | − | 0.201813i | ||||
\(827\) | −22.5047 | + | 15.0372i | −0.782566 | + | 0.522894i | −0.881491 | − | 0.472201i | \(-0.843460\pi\) |
0.0989248 | + | 0.995095i | \(0.468460\pi\) | |||||||
\(828\) | 34.3266 | + | 2.17676i | 1.19293 | + | 0.0756475i | ||||
\(829\) | 0.0634410 | + | 0.318939i | 0.00220340 | + | 0.0110772i | 0.981871 | − | 0.189549i | \(-0.0607025\pi\) |
−0.979668 | + | 0.200626i | \(0.935702\pi\) | |||||||
\(830\) | −4.07813 | + | 4.32259i | −0.141554 | + | 0.150039i | ||||
\(831\) | −4.69986 | − | 2.29035i | −0.163036 | − | 0.0794515i | ||||
\(832\) | −21.7673 | + | 49.4725i | −0.754646 | + | 1.71515i | ||||
\(833\) | 5.22459i | 0.181021i | ||||||||
\(834\) | −27.0737 | + | 10.2226i | −0.937484 | + | 0.353980i | ||||
\(835\) | −2.69298 | + | 0.535667i | −0.0931944 | + | 0.0185375i | ||||
\(836\) | −11.3817 | + | 12.7897i | −0.393646 | + | 0.442342i | ||||
\(837\) | −17.4486 | + | 17.9471i | −0.603113 | + | 0.620342i | ||||
\(838\) | −0.155955 | + | 0.248775i | −0.00538736 | + | 0.00859380i | ||||
\(839\) | 29.1039 | + | 12.0552i | 1.00478 | + | 0.416192i | 0.823547 | − | 0.567248i | \(-0.191992\pi\) |
0.181231 | + | 0.983441i | \(0.441992\pi\) | |||||||
\(840\) | −2.44729 | + | 2.58066i | −0.0844394 | + | 0.0890412i | ||||
\(841\) | −0.560855 | + | 0.232314i | −0.0193398 | + | 0.00801082i | ||||
\(842\) | 7.89951 | + | 1.33371i | 0.272235 | + | 0.0459628i | ||||
\(843\) | 2.33218 | − | 3.06908i | 0.0803246 | − | 0.105705i | ||||
\(844\) | 20.3803 | − | 34.7147i | 0.701517 | − | 1.19493i | ||||
\(845\) | 5.84074 | − | 8.74129i | 0.200928 | − | 0.300710i | ||||
\(846\) | 12.2096 | − | 23.1622i | 0.419775 | − | 0.796333i | ||||
\(847\) | 11.0919 | − | 11.0919i | 0.381122 | − | 0.381122i | ||||
\(848\) | 2.72881 | − | 34.0453i | 0.0937079 | − | 1.16912i | ||||
\(849\) | −15.1083 | − | 43.8305i | −0.518514 | − | 1.50426i | ||||
\(850\) | 6.70877 | − | 17.6302i | 0.230109 | − | 0.604712i | ||||
\(851\) | 8.17956 | − | 12.2416i | 0.280392 | − | 0.419636i | ||||
\(852\) | 14.5377 | + | 9.76795i | 0.498053 | + | 0.334644i | ||||
\(853\) | 7.74261 | − | 38.9247i | 0.265102 | − | 1.33276i | −0.587088 | − | 0.809523i | \(-0.699726\pi\) |
0.852189 | − | 0.523233i | \(-0.175274\pi\) | |||||||
\(854\) | 10.8494 | − | 7.71509i | 0.371260 | − | 0.264005i | ||||
\(855\) | 2.02328 | − | 3.58166i | 0.0691949 | − | 0.122490i | ||||
\(856\) | 23.5870 | − | 18.9310i | 0.806189 | − | 0.647047i | ||||
\(857\) | 39.6850 | + | 16.4381i | 1.35561 | + | 0.561513i | 0.937850 | − | 0.347042i | \(-0.112814\pi\) |
0.417764 | + | 0.908556i | \(0.362814\pi\) | |||||||
\(858\) | 7.52067 | − | 32.4098i | 0.256751 | − | 1.10645i | ||||
\(859\) | −7.54133 | + | 5.03896i | −0.257307 | + | 0.171927i | −0.677533 | − | 0.735493i | \(-0.736951\pi\) |
0.420226 | + | 0.907420i | \(0.361951\pi\) | |||||||
\(860\) | −0.219568 | + | 0.106303i | −0.00748722 | + | 0.00362490i | ||||
\(861\) | −30.6790 | − | 8.06626i | −1.04554 | − | 0.274898i | ||||
\(862\) | 0.0970176 | + | 3.33391i | 0.00330443 | + | 0.113554i | ||||
\(863\) | − | 34.8061i | − | 1.18481i | −0.805639 | − | 0.592407i | \(-0.798178\pi\) | ||
0.805639 | − | 0.592407i | \(-0.201822\pi\) | |||||||
\(864\) | −4.66966 | − | 29.0206i | −0.158865 | − | 0.987300i | ||||
\(865\) | − | 2.94785i | − | 0.100230i | ||||||
\(866\) | 4.58618 | − | 0.133459i | 0.155845 | − | 0.00453512i | ||||
\(867\) | −16.0454 | − | 4.21874i | −0.544931 | − | 0.143276i | ||||
\(868\) | 20.5156 | + | 7.13078i | 0.696346 | + | 0.242034i | ||||
\(869\) | −2.09935 | + | 1.40274i | −0.0712156 | + | 0.0475848i | ||||
\(870\) | −4.18103 | − | 0.970204i | −0.141750 | − | 0.0328930i | ||||
\(871\) | −62.4043 | − | 25.8487i | −2.11449 | − | 0.875850i | ||||
\(872\) | 45.2549 | − | 13.1911i | 1.53252 | − | 0.446706i | ||||
\(873\) | −25.5791 | + | 45.2807i | −0.865721 | + | 1.53252i | ||||
\(874\) | 20.0051 | + | 28.1324i | 0.676682 | + | 0.951592i | ||||
\(875\) | 1.40162 | − | 7.04643i | 0.0473835 | − | 0.238213i | ||||
\(876\) | −12.2505 | + | 2.40403i | −0.413905 | + | 0.0812246i | ||||
\(877\) | −0.695873 | + | 1.04145i | −0.0234980 | + | 0.0351672i | −0.843033 | − | 0.537862i | \(-0.819232\pi\) |
0.819535 | + | 0.573030i | \(0.194232\pi\) | |||||||
\(878\) | −25.4531 | − | 9.68558i | −0.859000 | − | 0.326872i | ||||
\(879\) | 3.75703 | + | 10.8995i | 0.126721 | + | 0.367631i | ||||
\(880\) | 1.26211 | + | 2.26131i | 0.0425459 | + | 0.0762287i | ||||
\(881\) | 4.58573 | − | 4.58573i | 0.154497 | − | 0.154497i | −0.625626 | − | 0.780123i | \(-0.715156\pi\) |
0.780123 | + | 0.625626i | \(0.215156\pi\) | |||||||
\(882\) | −7.19788 | − | 3.79426i | −0.242365 | − | 0.127759i | ||||
\(883\) | −16.7300 | + | 25.0382i | −0.563009 | + | 0.842603i | −0.998336 | − | 0.0576696i | \(-0.981633\pi\) |
0.435326 | + | 0.900273i | \(0.356633\pi\) | |||||||
\(884\) | 35.6245 | − | 9.26867i | 1.19818 | − | 0.311739i | ||||
\(885\) | 1.15590 | − | 1.52112i | 0.0388550 | − | 0.0511320i | ||||
\(886\) | −4.03492 | + | 23.8986i | −0.135556 | + | 0.802889i | ||||
\(887\) | 10.8060 | − | 4.47599i | 0.362830 | − | 0.150289i | −0.193818 | − | 0.981037i | \(-0.562087\pi\) |
0.556648 | + | 0.830748i | \(0.312087\pi\) | |||||||
\(888\) | −11.7477 | − | 4.50496i | −0.394229 | − | 0.151176i | ||||
\(889\) | 26.2869 | + | 10.8884i | 0.881635 | + | 0.365185i | ||||
\(890\) | 2.80003 | + | 1.75531i | 0.0938571 | + | 0.0588380i | ||||
\(891\) | 6.13670 | + | 17.0214i | 0.205587 | + | 0.570238i | ||||
\(892\) | −2.94278 | − | 50.5200i | −0.0985314 | − | 1.69153i | ||||
\(893\) | 25.7731 | − | 5.12659i | 0.862465 | − | 0.171555i | ||||
\(894\) | −1.49352 | − | 3.95545i | −0.0499507 | − | 0.132290i | ||||
\(895\) | − | 0.801342i | − | 0.0267859i | ||||||
\(896\) | −21.1029 | + | 14.3243i | −0.704998 | + | 0.478540i | ||||
\(897\) | −60.3036 | − | 29.3874i | −2.01348 | − | 0.981215i | ||||
\(898\) | 21.0988 | + | 19.9056i | 0.704078 | + | 0.664259i | ||||
\(899\) | 5.11364 | + | 25.7080i | 0.170549 | + | 0.857410i | ||||
\(900\) | 19.4169 | + | 22.0462i | 0.647231 | + | 0.734875i | ||||
\(901\) | −19.3408 | + | 12.9231i | −0.644335 | + | 0.430531i | ||||
\(902\) | −12.2685 | + | 19.5704i | −0.408496 | + | 0.651623i | ||||
\(903\) | 0.980348 | + | 1.10734i | 0.0326239 | + | 0.0368501i | ||||
\(904\) | −1.56676 | + | 0.137089i | −0.0521097 | + | 0.00455951i | ||||
\(905\) | 0.235016 | + | 0.567379i | 0.00781219 | + | 0.0188603i | ||||
\(906\) | 12.4456 | + | 8.89843i | 0.413478 | + | 0.295631i | ||||
\(907\) | −1.51347 | + | 7.60872i | −0.0502539 | + | 0.252643i | −0.997743 | − | 0.0671438i | \(-0.978611\pi\) |
0.947489 | + | 0.319787i | \(0.103611\pi\) | |||||||
\(908\) | −14.7793 | − | 56.8048i | −0.490468 | − | 1.88513i | ||||
\(909\) | −52.3848 | + | 3.92767i | −1.73749 | + | 0.130273i | ||||
\(910\) | 6.32855 | − | 2.83976i | 0.209789 | − | 0.0941372i | ||||
\(911\) | −6.52277 | − | 6.52277i | −0.216109 | − | 0.216109i | 0.590748 | − | 0.806856i | \(-0.298833\pi\) |
−0.806856 | + | 0.590748i | \(0.798833\pi\) | |||||||
\(912\) | 19.6682 | − | 21.9871i | 0.651278 | − | 0.728065i | ||||
\(913\) | 18.5500 | − | 18.5500i | 0.613916 | − | 0.613916i | ||||
\(914\) | 6.63359 | − | 17.4327i | 0.219420 | − | 0.576621i | ||||
\(915\) | 1.17402 | + | 2.01159i | 0.0388117 | + | 0.0665011i | ||||
\(916\) | −5.28278 | + | 3.99297i | −0.174548 | + | 0.131931i | ||||
\(917\) | −35.5906 | − | 7.07941i | −1.17530 | − | 0.233783i | ||||
\(918\) | −13.5313 | + | 14.7532i | −0.446599 | + | 0.486927i | ||||
\(919\) | 10.9780 | − | 4.54724i | 0.362131 | − | 0.150000i | −0.194197 | − | 0.980963i | \(-0.562210\pi\) |
0.556328 | + | 0.830963i | \(0.312210\pi\) | |||||||
\(920\) | 5.01287 | − | 1.46117i | 0.165270 | − | 0.0481734i | ||||
\(921\) | 9.34367 | + | 10.5541i | 0.307885 | + | 0.347769i | ||||
\(922\) | −7.63735 | − | 33.3014i | −0.251523 | − | 1.09672i | ||||
\(923\) | −18.9779 | − | 28.4024i | −0.624664 | − | 0.934876i | ||||
\(924\) | 11.1302 | − | 11.0731i | 0.366156 | − | 0.364277i | ||||
\(925\) | 12.3334 | − | 2.45326i | 0.405519 | − | 0.0806628i | ||||
\(926\) | −0.765726 | − | 26.3134i | −0.0251633 | − | 0.864713i | ||||
\(927\) | 10.8441 | + | 13.8609i | 0.356167 | + | 0.455252i | ||||
\(928\) | −27.8013 | − | 13.2104i | −0.912622 | − | 0.433652i | ||||
\(929\) | 15.8633 | 0.520459 | 0.260229 | − | 0.965547i | \(-0.416202\pi\) | ||||
0.260229 | + | 0.965547i | \(0.416202\pi\) | |||||||
\(930\) | −1.56457 | + | 3.46284i | −0.0513042 | + | 0.113551i | ||||
\(931\) | −1.59314 | − | 8.00925i | −0.0522130 | − | 0.262493i | ||||
\(932\) | −21.7839 | − | 44.9947i | −0.713557 | − | 1.47385i | ||||
\(933\) | 1.65696 | + | 12.1451i | 0.0542465 | + | 0.397613i | ||||
\(934\) | 5.31135 | + | 23.1593i | 0.173793 | + | 0.757795i | ||||
\(935\) | 0.674942 | − | 1.62945i | 0.0220730 | − | 0.0532889i | ||||
\(936\) | −13.1022 | + | 55.8108i | −0.428260 | + | 1.82423i | ||||
\(937\) | −8.26154 | − | 19.9451i | −0.269893 | − | 0.651578i | 0.729585 | − | 0.683890i | \(-0.239713\pi\) |
−0.999478 | + | 0.0323115i | \(0.989713\pi\) | |||||||
\(938\) | −18.4717 | − | 25.9760i | −0.603121 | − | 0.848146i | ||||
\(939\) | 9.63545 | − | 12.6799i | 0.314441 | − | 0.413794i | ||||
\(940\) | 0.547435 | − | 3.93692i | 0.0178554 | − | 0.128408i | ||||
\(941\) | −25.0573 | − | 16.7427i | −0.816844 | − | 0.545798i | 0.0755042 | − | 0.997145i | \(-0.475943\pi\) |
−0.892348 | + | 0.451348i | \(0.850943\pi\) | |||||||
\(942\) | −4.23415 | − | 4.51115i | −0.137956 | − | 0.146981i | ||||
\(943\) | 32.9311 | + | 32.9311i | 1.07239 | + | 1.07239i | ||||
\(944\) | 10.4309 | − | 8.88285i | 0.339497 | − | 0.289112i | ||||
\(945\) | −2.05140 | + | 3.16574i | −0.0667320 | + | 0.102982i | ||||
\(946\) | 0.982508 | − | 0.440874i | 0.0319441 | − | 0.0143340i | ||||
\(947\) | −4.57301 | − | 3.05559i | −0.148603 | − | 0.0992932i | 0.479046 | − | 0.877790i | \(-0.340983\pi\) |
−0.627649 | + | 0.778497i | \(0.715983\pi\) | |||||||
\(948\) | 3.62353 | − | 2.40771i | 0.117687 | − | 0.0781988i | ||||
\(949\) | 23.8805 | + | 4.75012i | 0.775193 | + | 0.154195i | ||||
\(950\) | −4.90849 | + | 29.0727i | −0.159252 | + | 0.943243i | ||||
\(951\) | −1.77645 | + | 29.2031i | −0.0576055 | + | 0.946975i | ||||
\(952\) | 16.5665 | + | 5.22322i | 0.536923 | + | 0.169286i | ||||
\(953\) | −13.6825 | + | 33.0324i | −0.443219 | + | 1.07002i | 0.531594 | + | 0.846999i | \(0.321593\pi\) |
−0.974813 | + | 0.223025i | \(0.928407\pi\) | |||||||
\(954\) | −3.75819 | − | 36.0308i | −0.121676 | − | 1.16654i | ||||
\(955\) | 0.469603 | + | 0.702811i | 0.0151960 | + | 0.0227424i | ||||
\(956\) | 21.5844 | + | 19.2083i | 0.698090 | + | 0.621239i | ||||
\(957\) | 18.3244 | + | 4.81795i | 0.592345 | + | 0.155742i | ||||
\(958\) | −16.3127 | − | 15.3901i | −0.527038 | − | 0.497232i | ||||
\(959\) | 48.3794 | 1.56225 | ||||||||
\(960\) | −2.16468 | − | 3.90197i | −0.0698648 | − | 0.125936i | ||||
\(961\) | −7.79435 | −0.251431 | ||||||||
\(962\) | 17.8491 | + | 16.8396i | 0.575478 | + | 0.542932i | ||||
\(963\) | 20.9239 | − | 24.3159i | 0.674264 | − | 0.783568i | ||||
\(964\) | −23.9848 | + | 26.9519i | −0.772499 | + | 0.868061i | ||||
\(965\) | −0.887302 | − | 1.32794i | −0.0285633 | − | 0.0427479i | ||||
\(966\) | −16.7448 | − | 26.8642i | −0.538755 | − | 0.864343i | ||||
\(967\) | 10.5593 | − | 25.4923i | 0.339563 | − | 0.819778i | −0.658194 | − | 0.752848i | \(-0.728679\pi\) |
0.997758 | − | 0.0669303i | \(-0.0213205\pi\) | |||||||
\(968\) | 9.08772 | + | 17.4569i | 0.292090 | + | 0.561087i | ||||
\(969\) | −20.0542 | − | 1.21992i | −0.644233 | − | 0.0391894i | ||||
\(970\) | −1.31433 | + | 7.78472i | −0.0422007 | + | 0.249952i | ||||
\(971\) | −47.0785 | − | 9.36449i | −1.51082 | − | 0.300521i | −0.630983 | − | 0.775797i | \(-0.717348\pi\) |
−0.879837 | + | 0.475276i | \(0.842348\pi\) | |||||||
\(972\) | −10.4985 | − | 29.3561i | −0.336739 | − | 0.941598i | ||||
\(973\) | 22.1454 | + | 14.7971i | 0.709949 | + | 0.474373i | ||||
\(974\) | 15.1066 | − | 6.77867i | 0.484047 | − | 0.217203i | ||||
\(975\) | −18.6719 | − | 54.1690i | −0.597979 | − | 1.73480i | ||||
\(976\) | 5.13858 | + | 15.8929i | 0.164482 | + | 0.508718i | ||||
\(977\) | −8.67683 | − | 8.67683i | −0.277596 | − | 0.277596i | 0.554552 | − | 0.832149i | \(-0.312889\pi\) |
−0.832149 | + | 0.554552i | \(0.812889\pi\) | |||||||
\(978\) | −3.53954 | + | 3.32220i | −0.113182 | + | 0.106232i | ||||
\(979\) | −12.1299 | − | 8.10493i | −0.387673 | − | 0.259035i | ||||
\(980\) | −1.22344 | − | 0.170121i | −0.0390813 | − | 0.00543431i | ||||
\(981\) | 44.6319 | − | 22.5333i | 1.42499 | − | 0.719434i | ||||
\(982\) | −15.9913 | − | 22.4879i | −0.510302 | − | 0.717618i | ||||
\(983\) | −4.80123 | − | 11.5912i | −0.153135 | − | 0.369701i | 0.828630 | − | 0.559796i | \(-0.189121\pi\) |
−0.981766 | + | 0.190095i | \(0.939121\pi\) | |||||||
\(984\) | 21.2261 | − | 33.6667i | 0.676664 | − | 1.07326i | ||||
\(985\) | −2.38711 | + | 5.76300i | −0.0760598 | + | 0.183625i | ||||
\(986\) | 4.68600 | + | 20.4325i | 0.149233 | + | 0.650704i | ||||
\(987\) | −23.8763 | + | 3.25746i | −0.759991 | + | 0.103686i | ||||
\(988\) | −51.7858 | + | 25.0718i | −1.64752 | + | 0.797640i | ||||
\(989\) | −0.423599 | − | 2.12958i | −0.0134697 | − | 0.0677166i | ||||
\(990\) | 1.75472 | + | 2.11322i | 0.0557688 | + | 0.0671626i | ||||
\(991\) | 2.37327 | 0.0753895 | 0.0376947 | − | 0.999289i | \(-0.487999\pi\) | ||||
0.0376947 | + | 0.999289i | \(0.487999\pi\) | |||||||
\(992\) | −16.2724 | + | 21.8584i | −0.516650 | + | 0.694004i | ||||
\(993\) | −48.2962 | − | 23.5359i | −1.53263 | − | 0.746889i | ||||
\(994\) | −0.468876 | − | 16.1125i | −0.0148718 | − | 0.511056i | ||||
\(995\) | 6.64278 | − | 1.32133i | 0.210590 | − | 0.0418890i | ||||
\(996\) | −32.0451 | + | 31.8806i | −1.01539 | + | 1.01018i | ||||
\(997\) | −1.12832 | − | 1.68864i | −0.0357341 | − | 0.0534799i | 0.813172 | − | 0.582023i | \(-0.197739\pi\) |
−0.848907 | + | 0.528543i | \(0.822739\pi\) | |||||||
\(998\) | −5.03790 | − | 21.9669i | −0.159472 | − | 0.695351i | ||||
\(999\) | −13.1241 | − | 2.41895i | −0.415227 | − | 0.0765322i |
(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 | 192.2.s.a.107.23 | yes | 240 | |
3.2 | odd | 2 | inner | 192.2.s.a.107.8 | ✓ | 240 | |
4.3 | odd | 2 | 768.2.s.a.335.12 | 240 | |||
12.11 | even | 2 | 768.2.s.a.335.9 | 240 | |||
64.3 | odd | 16 | inner | 192.2.s.a.131.8 | yes | 240 | |
64.61 | even | 16 | 768.2.s.a.431.9 | 240 | |||
192.125 | odd | 16 | 768.2.s.a.431.12 | 240 | |||
192.131 | even | 16 | inner | 192.2.s.a.131.23 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.s.a.107.8 | ✓ | 240 | 3.2 | odd | 2 | inner | |
192.2.s.a.107.23 | yes | 240 | 1.1 | even | 1 | trivial | |
192.2.s.a.131.8 | yes | 240 | 64.3 | odd | 16 | inner | |
192.2.s.a.131.23 | yes | 240 | 192.131 | even | 16 | inner | |
768.2.s.a.335.9 | 240 | 12.11 | even | 2 | |||
768.2.s.a.335.12 | 240 | 4.3 | odd | 2 | |||
768.2.s.a.431.9 | 240 | 64.61 | even | 16 | |||
768.2.s.a.431.12 | 240 | 192.125 | odd | 16 |