Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.27 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.27 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0656055 | + | 0.167160i | −0.0463901 | + | 0.118200i | −0.952191 | − | 0.305504i | \(-0.901175\pi\) |
0.905801 | + | 0.423704i | \(0.139270\pi\) | |||||||
\(3\) | −1.14690 | − | 1.29793i | −0.662165 | − | 0.749358i | ||||
\(4\) | 1.44247 | + | 1.33841i | 0.721233 | + | 0.669206i | ||||
\(5\) | −0.436036 | + | 0.209984i | −0.195001 | + | 0.0939077i | −0.528836 | − | 0.848724i | \(-0.677371\pi\) |
0.333835 | + | 0.942632i | \(0.391657\pi\) | |||||||
\(6\) | 0.292205 | − | 0.106565i | 0.119292 | − | 0.0435051i | ||||
\(7\) | −2.25383 | − | 1.38573i | −0.851867 | − | 0.523759i | ||||
\(8\) | −0.641942 | + | 0.309143i | −0.226961 | + | 0.109299i | ||||
\(9\) | −0.369227 | + | 2.97719i | −0.123076 | + | 0.992397i | ||||
\(10\) | −0.00649456 | − | 0.0866639i | −0.00205376 | − | 0.0274055i | ||||
\(11\) | −3.81220 | − | 4.78034i | −1.14942 | − | 1.44133i | −0.877867 | − | 0.478904i | \(-0.841034\pi\) |
−0.271553 | − | 0.962423i | \(-0.587537\pi\) | |||||||
\(12\) | 0.0827931 | − | 3.40724i | 0.0239003 | − | 0.983586i | ||||
\(13\) | 1.89415 | − | 4.82621i | 0.525342 | − | 1.33855i | −0.384319 | − | 0.923200i | \(-0.625564\pi\) |
0.909662 | − | 0.415350i | \(-0.136341\pi\) | |||||||
\(14\) | 0.379503 | − | 0.285838i | 0.101426 | − | 0.0763934i | ||||
\(15\) | 0.772635 | + | 0.325112i | 0.199494 | + | 0.0839435i | ||||
\(16\) | 0.284539 | + | 3.79691i | 0.0711348 | + | 0.949228i | ||||
\(17\) | 0.806095 | − | 0.747947i | 0.195507 | − | 0.181404i | −0.576345 | − | 0.817207i | \(-0.695521\pi\) |
0.771851 | + | 0.635803i | \(0.219331\pi\) | |||||||
\(18\) | −0.473444 | − | 0.257040i | −0.111592 | − | 0.0605849i | ||||
\(19\) | 1.79279 | − | 3.10521i | 0.411294 | − | 0.712383i | −0.583737 | − | 0.811943i | \(-0.698410\pi\) |
0.995032 | + | 0.0995598i | \(0.0317435\pi\) | |||||||
\(20\) | −0.910013 | − | 0.280702i | −0.203485 | − | 0.0627668i | ||||
\(21\) | 0.786339 | + | 4.51461i | 0.171593 | + | 0.985168i | ||||
\(22\) | 1.04918 | − | 0.323630i | 0.223687 | − | 0.0689982i | ||||
\(23\) | 0.737615 | − | 3.23170i | 0.153803 | − | 0.673857i | −0.837956 | − | 0.545738i | \(-0.816249\pi\) |
0.991759 | − | 0.128118i | \(-0.0408936\pi\) | |||||||
\(24\) | 1.13749 | + | 0.478637i | 0.232189 | + | 0.0977013i | ||||
\(25\) | −2.97141 | + | 3.72604i | −0.594283 | + | 0.745207i | ||||
\(26\) | 0.682483 | + | 0.633252i | 0.133846 | + | 0.124191i | ||||
\(27\) | 4.28764 | − | 2.93532i | 0.825158 | − | 0.564903i | ||||
\(28\) | −1.39638 | − | 5.01543i | −0.263892 | − | 0.947826i | ||||
\(29\) | −7.60065 | − | 2.34449i | −1.41140 | − | 0.435361i | −0.506966 | − | 0.861966i | \(-0.669233\pi\) |
−0.904438 | + | 0.426605i | \(0.859709\pi\) | |||||||
\(30\) | −0.105035 | + | 0.107825i | −0.0191766 | + | 0.0196860i | ||||
\(31\) | 1.23019 | − | 2.13074i | 0.220948 | − | 0.382693i | −0.734148 | − | 0.678989i | \(-0.762418\pi\) |
0.955096 | + | 0.296296i | \(0.0957516\pi\) | |||||||
\(32\) | −2.01505 | − | 0.621562i | −0.356215 | − | 0.109878i | ||||
\(33\) | −1.83232 | + | 10.4305i | −0.318965 | + | 1.81572i | ||||
\(34\) | 0.0721426 | + | 0.183816i | 0.0123724 | + | 0.0315242i | ||||
\(35\) | 1.27373 | + | 0.130963i | 0.215300 | + | 0.0221368i | ||||
\(36\) | −4.51731 | + | 3.80032i | −0.752885 | + | 0.633386i | ||||
\(37\) | −2.90076 | − | 0.894766i | −0.476882 | − | 0.147099i | 0.0469906 | − | 0.998895i | \(-0.485037\pi\) |
−0.523872 | + | 0.851797i | \(0.675513\pi\) | |||||||
\(38\) | 0.401449 | + | 0.503401i | 0.0651237 | + | 0.0816625i | ||||
\(39\) | −8.43647 | + | 3.07673i | −1.35092 | + | 0.492671i | ||||
\(40\) | 0.214995 | − | 0.269595i | 0.0339937 | − | 0.0426268i | ||||
\(41\) | −4.21620 | − | 2.87456i | −0.658460 | − | 0.448931i | 0.187437 | − | 0.982277i | \(-0.439982\pi\) |
−0.845897 | + | 0.533346i | \(0.820934\pi\) | |||||||
\(42\) | −0.806250 | − | 0.164738i | −0.124407 | − | 0.0254197i | ||||
\(43\) | 9.04185 | − | 6.16463i | 1.37887 | − | 0.940097i | 0.378978 | − | 0.925406i | \(-0.376276\pi\) |
0.999892 | − | 0.0146917i | \(-0.00467667\pi\) | |||||||
\(44\) | 0.899109 | − | 11.9978i | 0.135546 | − | 1.80873i | ||||
\(45\) | −0.464166 | − | 1.37570i | −0.0691938 | − | 0.205077i | ||||
\(46\) | 0.491820 | + | 0.335317i | 0.0725149 | + | 0.0494398i | ||||
\(47\) | −1.72832 | + | 4.40367i | −0.252101 | + | 0.642342i | −0.999764 | − | 0.0217363i | \(-0.993081\pi\) |
0.747663 | + | 0.664078i | \(0.231176\pi\) | |||||||
\(48\) | 4.60178 | − | 4.72400i | 0.664209 | − | 0.681851i | ||||
\(49\) | 3.15948 | + | 6.24642i | 0.451354 | + | 0.892345i | ||||
\(50\) | −0.427903 | − | 0.741150i | −0.0605146 | − | 0.104814i | ||||
\(51\) | −1.89529 | − | 0.188430i | −0.265394 | − | 0.0263854i | ||||
\(52\) | 9.19171 | − | 4.42649i | 1.27466 | − | 0.613844i | ||||
\(53\) | 1.23069 | − | 0.379617i | 0.169048 | − | 0.0521444i | −0.209076 | − | 0.977899i | \(-0.567046\pi\) |
0.378124 | + | 0.925755i | \(0.376569\pi\) | |||||||
\(54\) | 0.209375 | + | 0.909296i | 0.0284924 | + | 0.123739i | ||||
\(55\) | 2.66605 | + | 1.28390i | 0.359490 | + | 0.173121i | ||||
\(56\) | 1.87522 | + | 0.192807i | 0.250587 | + | 0.0257649i | ||||
\(57\) | −6.08649 | + | 1.23446i | −0.806175 | + | 0.163508i | ||||
\(58\) | 0.890549 | − | 1.11671i | 0.116935 | − | 0.146632i | ||||
\(59\) | 1.67053 | − | 1.13895i | 0.217484 | − | 0.148278i | −0.449678 | − | 0.893191i | \(-0.648461\pi\) |
0.667162 | + | 0.744913i | \(0.267509\pi\) | |||||||
\(60\) | 0.679366 | + | 1.50307i | 0.0877058 | + | 0.194045i | ||||
\(61\) | −6.03777 | + | 5.60224i | −0.773058 | + | 0.717293i | −0.964463 | − | 0.264218i | \(-0.914886\pi\) |
0.191405 | + | 0.981511i | \(0.438696\pi\) | |||||||
\(62\) | 0.275468 | + | 0.345426i | 0.0349845 | + | 0.0438692i | ||||
\(63\) | 4.95777 | − | 6.19843i | 0.624621 | − | 0.780928i | ||||
\(64\) | −4.51185 | + | 5.65768i | −0.563981 | + | 0.707210i | ||||
\(65\) | 0.187510 | + | 2.50214i | 0.0232577 | + | 0.310353i | ||||
\(66\) | −1.62336 | − | 0.990590i | −0.199822 | − | 0.121933i | ||||
\(67\) | −2.87122 | + | 4.97310i | −0.350776 | + | 0.607561i | −0.986386 | − | 0.164449i | \(-0.947415\pi\) |
0.635610 | + | 0.772010i | \(0.280749\pi\) | |||||||
\(68\) | 2.16383 | 0.262403 | ||||||||
\(69\) | −5.04049 | + | 2.74908i | −0.606803 | + | 0.330950i | ||||
\(70\) | −0.105456 | + | 0.204325i | −0.0126044 | + | 0.0244215i | ||||
\(71\) | −1.22532 | + | 5.36849i | −0.145419 | + | 0.637123i | 0.848704 | + | 0.528868i | \(0.177383\pi\) |
−0.994123 | + | 0.108255i | \(0.965474\pi\) | |||||||
\(72\) | −0.683356 | − | 2.02533i | −0.0805343 | − | 0.238687i | ||||
\(73\) | 8.43094 | + | 1.27076i | 0.986767 | + | 0.148731i | 0.622548 | − | 0.782582i | \(-0.286098\pi\) |
0.364219 | + | 0.931313i | \(0.381336\pi\) | |||||||
\(74\) | 0.339875 | − | 0.426189i | 0.0395096 | − | 0.0495435i | ||||
\(75\) | 8.24405 | − | 0.416724i | 0.951940 | − | 0.0481191i | ||||
\(76\) | 6.74208 | − | 2.07966i | 0.773370 | − | 0.238553i | ||||
\(77\) | 1.96774 | + | 16.0568i | 0.224245 | + | 1.82984i | ||||
\(78\) | 0.0391724 | − | 1.61209i | 0.00443540 | − | 0.182533i | ||||
\(79\) | 3.21813 | + | 5.57397i | 0.362068 | + | 0.627120i | 0.988301 | − | 0.152516i | \(-0.0487374\pi\) |
−0.626233 | + | 0.779636i | \(0.715404\pi\) | |||||||
\(80\) | −0.921361 | − | 1.59584i | −0.103011 | − | 0.178421i | ||||
\(81\) | −8.72734 | − | 2.19852i | −0.969705 | − | 0.244280i | ||||
\(82\) | 0.757117 | − | 0.516194i | 0.0836096 | − | 0.0570041i | ||||
\(83\) | −5.79543 | − | 14.7665i | −0.636131 | − | 1.62083i | −0.776050 | − | 0.630671i | \(-0.782780\pi\) |
0.139919 | − | 0.990163i | \(-0.455316\pi\) | |||||||
\(84\) | −4.90814 | + | 7.56461i | −0.535522 | + | 0.825367i | ||||
\(85\) | −0.194430 | + | 0.495399i | −0.0210889 | + | 0.0537336i | ||||
\(86\) | 0.437285 | + | 1.91587i | 0.0471536 | + | 0.206594i | ||||
\(87\) | 5.67423 | + | 12.5540i | 0.608341 | + | 1.34593i | ||||
\(88\) | 3.92502 | + | 1.89019i | 0.418409 | + | 0.201495i | ||||
\(89\) | 2.89495 | + | 7.37622i | 0.306864 | + | 0.781878i | 0.998236 | + | 0.0593779i | \(0.0189117\pi\) |
−0.691371 | + | 0.722500i | \(0.742993\pi\) | |||||||
\(90\) | 0.260413 | + | 0.0126631i | 0.0274500 | + | 0.00133481i | ||||
\(91\) | −10.9569 | + | 8.25266i | −1.14860 | + | 0.865114i | ||||
\(92\) | 5.38933 | − | 3.67439i | 0.561877 | − | 0.383081i | ||||
\(93\) | −4.17645 | + | 0.847066i | −0.433078 | + | 0.0878366i | ||||
\(94\) | −0.622731 | − | 0.577810i | −0.0642298 | − | 0.0595966i | ||||
\(95\) | −0.129679 | + | 1.73044i | −0.0133047 | + | 0.177539i | ||||
\(96\) | 1.50433 | + | 3.32826i | 0.153535 | + | 0.339690i | ||||
\(97\) | 0.729999 | − | 1.26440i | 0.0741202 | − | 0.128380i | −0.826583 | − | 0.562815i | \(-0.809718\pi\) |
0.900703 | + | 0.434435i | \(0.143052\pi\) | |||||||
\(98\) | −1.25143 | + | 0.118339i | −0.126413 | + | 0.0119541i | ||||
\(99\) | 15.6396 | − | 9.58461i | 1.57184 | − | 0.963289i | ||||
\(100\) | −9.27314 | + | 1.39770i | −0.927314 | + | 0.139770i | ||||
\(101\) | 16.4954 | − | 7.94375i | 1.64135 | − | 0.790432i | 0.641624 | − | 0.767019i | \(-0.278261\pi\) |
0.999726 | − | 0.0234131i | \(-0.00745332\pi\) | |||||||
\(102\) | 0.155840 | − | 0.304455i | 0.0154304 | − | 0.0301456i | ||||
\(103\) | 9.07824 | − | 4.37185i | 0.894506 | − | 0.430771i | 0.0706042 | − | 0.997504i | \(-0.477507\pi\) |
0.823901 | + | 0.566733i | \(0.191793\pi\) | |||||||
\(104\) | 0.276056 | + | 3.68371i | 0.0270695 | + | 0.361218i | ||||
\(105\) | −1.29087 | − | 1.80341i | −0.125976 | − | 0.175995i | ||||
\(106\) | −0.0172831 | + | 0.230627i | −0.00167868 | + | 0.0224004i | ||||
\(107\) | 5.96971 | + | 15.2106i | 0.577113 | + | 1.47046i | 0.859488 | + | 0.511156i | \(0.170783\pi\) |
−0.282375 | + | 0.959304i | \(0.591122\pi\) | |||||||
\(108\) | 10.1134 | + | 1.50454i | 0.973167 | + | 0.144774i | ||||
\(109\) | 3.26466 | − | 8.31822i | 0.312698 | − | 0.796741i | −0.684976 | − | 0.728566i | \(-0.740187\pi\) |
0.997673 | − | 0.0681747i | \(-0.0217175\pi\) | |||||||
\(110\) | −0.389525 | + | 0.361426i | −0.0371397 | + | 0.0344606i | ||||
\(111\) | 2.16555 | + | 4.79118i | 0.205545 | + | 0.454759i | ||||
\(112\) | 4.62021 | − | 8.95189i | 0.436569 | − | 0.845874i | ||||
\(113\) | 12.2184 | + | 1.84163i | 1.14941 | + | 0.173246i | 0.695990 | − | 0.718052i | \(-0.254966\pi\) |
0.453420 | + | 0.891297i | \(0.350204\pi\) | |||||||
\(114\) | 0.192955 | − | 1.09840i | 0.0180719 | − | 0.102875i | ||||
\(115\) | 0.356979 | + | 1.56403i | 0.0332885 | + | 0.145846i | ||||
\(116\) | −7.82578 | − | 13.5546i | −0.726605 | − | 1.25852i | ||||
\(117\) | 13.6692 | + | 7.42121i | 1.26372 | + | 0.686091i | ||||
\(118\) | 0.0807906 | + | 0.353967i | 0.00743738 | + | 0.0325853i | ||||
\(119\) | −2.85326 | + | 0.568709i | −0.261558 | + | 0.0521335i | ||||
\(120\) | −0.596493 | + | 0.0301518i | −0.0544521 | + | 0.00275247i | ||||
\(121\) | −5.87111 | + | 25.7230i | −0.533737 | + | 2.33846i | ||||
\(122\) | −0.540359 | − | 1.37681i | −0.0489218 | − | 0.124651i | ||||
\(123\) | 1.10461 | + | 8.76916i | 0.0995993 | + | 0.790689i | ||||
\(124\) | 4.62631 | − | 1.42703i | 0.415455 | − | 0.128151i | ||||
\(125\) | 1.05170 | − | 4.60779i | 0.0940666 | − | 0.412133i | ||||
\(126\) | 0.710872 | + | 1.23539i | 0.0633295 | + | 0.110057i | ||||
\(127\) | −0.685466 | − | 3.00322i | −0.0608252 | − | 0.266493i | 0.935367 | − | 0.353679i | \(-0.115070\pi\) |
−0.996192 | + | 0.0871864i | \(0.972212\pi\) | |||||||
\(128\) | −2.75848 | − | 4.77782i | −0.243817 | − | 0.422304i | ||||
\(129\) | −18.3714 | − | 4.66543i | −1.61751 | − | 0.410768i | ||||
\(130\) | −0.430560 | − | 0.132810i | −0.0377626 | − | 0.0116482i | ||||
\(131\) | −14.5667 | − | 7.01493i | −1.27269 | − | 0.612897i | −0.329192 | − | 0.944263i | \(-0.606776\pi\) |
−0.943502 | + | 0.331365i | \(0.892491\pi\) | |||||||
\(132\) | −16.6034 | + | 12.5933i | −1.44514 | + | 1.09611i | ||||
\(133\) | −8.34363 | + | 4.51426i | −0.723485 | + | 0.391436i | ||||
\(134\) | −0.642936 | − | 0.806216i | −0.0555412 | − | 0.0696465i | ||||
\(135\) | −1.25320 | + | 2.18024i | −0.107858 | + | 0.187645i | ||||
\(136\) | −0.286244 | + | 0.729338i | −0.0245452 | + | 0.0625402i | ||||
\(137\) | −3.55077 | − | 1.70996i | −0.303363 | − | 0.146092i | 0.276009 | − | 0.961155i | \(-0.410988\pi\) |
−0.579372 | + | 0.815063i | \(0.696702\pi\) | |||||||
\(138\) | −0.128853 | − | 1.02292i | −0.0109687 | − | 0.0870769i | ||||
\(139\) | −8.66279 | − | 5.90619i | −0.734768 | − | 0.500957i | 0.137185 | − | 0.990545i | \(-0.456194\pi\) |
−0.871953 | + | 0.489589i | \(0.837147\pi\) | |||||||
\(140\) | 1.66203 | + | 1.89369i | 0.140467 | + | 0.160046i | ||||
\(141\) | 7.69786 | − | 2.80736i | 0.648276 | − | 0.236423i | ||||
\(142\) | −0.817009 | − | 0.557027i | −0.0685619 | − | 0.0467447i | ||||
\(143\) | −30.2918 | + | 9.34379i | −2.53313 | + | 0.781367i | ||||
\(144\) | −11.4092 | − | 0.554795i | −0.950767 | − | 0.0462329i | ||||
\(145\) | 3.80646 | − | 0.573732i | 0.316110 | − | 0.0476458i | ||||
\(146\) | −0.765536 | + | 1.32595i | −0.0633562 | + | 0.109736i | ||||
\(147\) | 4.48378 | − | 11.2648i | 0.369816 | − | 0.929105i | ||||
\(148\) | −2.98668 | − | 5.17308i | −0.245503 | − | 0.425225i | ||||
\(149\) | 9.86835 | + | 12.3745i | 0.808447 | + | 1.01376i | 0.999482 | + | 0.0321769i | \(0.0102440\pi\) |
−0.191036 | + | 0.981583i | \(0.561185\pi\) | |||||||
\(150\) | −0.471195 | + | 1.40541i | −0.0384729 | + | 0.114752i | ||||
\(151\) | 2.50599 | − | 10.9794i | 0.203934 | − | 0.893494i | −0.764579 | − | 0.644530i | \(-0.777053\pi\) |
0.968513 | − | 0.248964i | \(-0.0800899\pi\) | |||||||
\(152\) | −0.190916 | + | 2.54759i | −0.0154853 | + | 0.206637i | ||||
\(153\) | 1.92915 | + | 2.67606i | 0.155963 | + | 0.216347i | ||||
\(154\) | −2.81314 | − | 0.724483i | −0.226690 | − | 0.0583805i | ||||
\(155\) | −0.0889834 | + | 1.18740i | −0.00714732 | + | 0.0953743i | ||||
\(156\) | −16.2873 | − | 6.85340i | −1.30402 | − | 0.548711i | ||||
\(157\) | −4.84486 | + | 3.30317i | −0.386662 | + | 0.263622i | −0.741013 | − | 0.671491i | \(-0.765654\pi\) |
0.354351 | + | 0.935113i | \(0.384702\pi\) | |||||||
\(158\) | −1.14287 | + | 0.172260i | −0.0909220 | + | 0.0137043i | ||||
\(159\) | −1.90419 | − | 1.16196i | −0.151012 | − | 0.0921493i | ||||
\(160\) | 1.00916 | − | 0.152106i | 0.0797807 | − | 0.0120250i | ||||
\(161\) | −6.14074 | + | 6.26156i | −0.483958 | + | 0.493480i | ||||
\(162\) | 0.940066 | − | 1.31463i | 0.0738585 | − | 0.103287i | ||||
\(163\) | 2.71461 | − | 1.85079i | 0.212625 | − | 0.144965i | −0.452325 | − | 0.891853i | \(-0.649405\pi\) |
0.664950 | + | 0.746888i | \(0.268453\pi\) | |||||||
\(164\) | −2.23438 | − | 9.78947i | −0.174476 | − | 0.764429i | ||||
\(165\) | −1.39129 | − | 4.93285i | −0.108312 | − | 0.384022i | ||||
\(166\) | 2.84858 | 0.221093 | ||||||||
\(167\) | 1.26052 | − | 1.16959i | 0.0975419 | − | 0.0905056i | −0.629895 | − | 0.776680i | \(-0.716902\pi\) |
0.727437 | + | 0.686175i | \(0.240712\pi\) | |||||||
\(168\) | −1.90044 | − | 2.65503i | −0.146622 | − | 0.204840i | ||||
\(169\) | −10.1748 | − | 9.44088i | −0.782681 | − | 0.726222i | ||||
\(170\) | −0.0700553 | − | 0.0650018i | −0.00537300 | − | 0.00498541i | ||||
\(171\) | 8.58284 | + | 6.48401i | 0.656347 | + | 0.495845i | ||||
\(172\) | 21.2934 | + | 3.20946i | 1.62360 | + | 0.244719i | ||||
\(173\) | 0.897453 | − | 0.276828i | 0.0682321 | − | 0.0210468i | −0.260451 | − | 0.965487i | \(-0.583871\pi\) |
0.328683 | + | 0.944440i | \(0.393395\pi\) | |||||||
\(174\) | −2.47078 | + | 0.124894i | −0.187310 | + | 0.00946821i | ||||
\(175\) | 11.8604 | − | 4.28025i | 0.896559 | − | 0.323556i | ||||
\(176\) | 17.0658 | − | 15.8348i | 1.28639 | − | 1.19359i | ||||
\(177\) | −3.39420 | − | 0.861962i | −0.255124 | − | 0.0647890i | ||||
\(178\) | −1.42293 | −0.106653 | ||||||||
\(179\) | −2.98904 | + | 2.77343i | −0.223411 | + | 0.207296i | −0.783935 | − | 0.620843i | \(-0.786790\pi\) |
0.560523 | + | 0.828139i | \(0.310600\pi\) | |||||||
\(180\) | 1.17170 | − | 2.60564i | 0.0873337 | − | 0.194213i | ||||
\(181\) | 7.38459 | − | 9.25998i | 0.548892 | − | 0.688289i | −0.427569 | − | 0.903983i | \(-0.640630\pi\) |
0.976461 | + | 0.215694i | \(0.0692013\pi\) | |||||||
\(182\) | −0.660680 | − | 2.37298i | −0.0489729 | − | 0.175897i | ||||
\(183\) | 14.1960 | + | 1.41137i | 1.04940 | + | 0.104331i | ||||
\(184\) | 0.525552 | + | 2.30260i | 0.0387442 | + | 0.169750i | ||||
\(185\) | 1.45272 | − | 0.218963i | 0.106806 | − | 0.0160985i | ||||
\(186\) | 0.132403 | − | 0.753708i | 0.00970822 | − | 0.0552645i | ||||
\(187\) | −6.64844 | − | 1.00209i | −0.486182 | − | 0.0732801i | ||||
\(188\) | −8.38697 | + | 4.03895i | −0.611682 | + | 0.294571i | ||||
\(189\) | −13.7312 | + | 0.674168i | −0.998797 | + | 0.0490385i | ||||
\(190\) | −0.280753 | − | 0.135203i | −0.0203679 | − | 0.00980868i | ||||
\(191\) | −6.35524 | − | 4.33293i | −0.459849 | − | 0.313520i | 0.311144 | − | 0.950363i | \(-0.399288\pi\) |
−0.770994 | + | 0.636843i | \(0.780240\pi\) | |||||||
\(192\) | 12.5179 | − | 0.632761i | 0.903403 | − | 0.0456656i | ||||
\(193\) | 1.61782 | − | 21.5883i | 0.116453 | − | 1.55396i | −0.566846 | − | 0.823823i | \(-0.691837\pi\) |
0.683300 | − | 0.730138i | \(-0.260544\pi\) | |||||||
\(194\) | 0.163464 | + | 0.204978i | 0.0117361 | + | 0.0147166i | ||||
\(195\) | 3.03254 | − | 3.11309i | 0.217165 | − | 0.222933i | ||||
\(196\) | −3.80284 | + | 13.2389i | −0.271632 | + | 0.945637i | ||||
\(197\) | 5.65639 | 0.403001 | 0.201500 | − | 0.979488i | \(-0.435418\pi\) | ||||
0.201500 | + | 0.979488i | \(0.435418\pi\) | |||||||
\(198\) | 0.576122 | + | 3.24311i | 0.0409432 | + | 0.230478i | ||||
\(199\) | 0.367833 | + | 0.250784i | 0.0260750 | + | 0.0177776i | 0.576287 | − | 0.817247i | \(-0.304501\pi\) |
−0.550212 | + | 0.835025i | \(0.685453\pi\) | |||||||
\(200\) | 0.755598 | − | 3.31049i | 0.0534289 | − | 0.234087i | ||||
\(201\) | 9.74773 | − | 1.97703i | 0.687552 | − | 0.139449i | ||||
\(202\) | 0.245691 | + | 3.27852i | 0.0172868 | + | 0.230676i | ||||
\(203\) | 13.8817 | + | 15.8166i | 0.974305 | + | 1.11010i | ||||
\(204\) | −2.48170 | − | 2.80849i | −0.173754 | − | 0.196634i | ||||
\(205\) | 2.44203 | + | 0.368077i | 0.170559 | + | 0.0257076i | ||||
\(206\) | 0.135216 | + | 1.80434i | 0.00942096 | + | 0.125714i | ||||
\(207\) | 9.34905 | + | 3.38925i | 0.649804 | + | 0.235569i | ||||
\(208\) | 18.8637 | + | 5.81867i | 1.30796 | + | 0.403452i | ||||
\(209\) | −21.6784 | + | 3.26750i | −1.49953 | + | 0.226017i | ||||
\(210\) | 0.386147 | − | 0.0974676i | 0.0266466 | − | 0.00672591i | ||||
\(211\) | −1.04145 | − | 0.156973i | −0.0716961 | − | 0.0108065i | 0.113096 | − | 0.993584i | \(-0.463923\pi\) |
−0.184792 | + | 0.982778i | \(0.559161\pi\) | |||||||
\(212\) | 2.28331 | + | 1.09958i | 0.156818 | + | 0.0755197i | ||||
\(213\) | 8.37323 | − | 4.56676i | 0.573725 | − | 0.312909i | ||||
\(214\) | −2.93424 | −0.200581 | ||||||||
\(215\) | −2.64810 | + | 4.58665i | −0.180599 | + | 0.312807i | ||||
\(216\) | −1.84499 | + | 3.20980i | −0.125535 | + | 0.218399i | ||||
\(217\) | −5.72527 | + | 3.09762i | −0.388657 | + | 0.210280i | ||||
\(218\) | 1.17629 | + | 1.09144i | 0.0796686 | + | 0.0739217i | ||||
\(219\) | −8.02012 | − | 12.4002i | −0.541949 | − | 0.837926i | ||||
\(220\) | 2.12730 | + | 5.42026i | 0.143422 | + | 0.365434i | ||||
\(221\) | −2.08289 | − | 5.30711i | −0.140110 | − | 0.356995i | ||||
\(222\) | −0.942966 | + | 0.0476655i | −0.0632877 | + | 0.00319910i | ||||
\(223\) | −19.4774 | − | 18.0724i | −1.30430 | − | 1.21022i | −0.962763 | − | 0.270348i | \(-0.912861\pi\) |
−0.341540 | − | 0.939867i | \(-0.610948\pi\) | |||||||
\(224\) | 3.68027 | + | 4.19323i | 0.245898 | + | 0.280172i | ||||
\(225\) | −9.99600 | − | 10.2222i | −0.666400 | − | 0.681482i | ||||
\(226\) | −1.10944 | + | 1.92161i | −0.0737988 | + | 0.127823i | ||||
\(227\) | 22.7963 | 1.51304 | 0.756521 | − | 0.653969i | \(-0.226897\pi\) | ||||
0.756521 | + | 0.653969i | \(0.226897\pi\) | |||||||
\(228\) | −10.4318 | − | 6.36556i | −0.690860 | − | 0.421570i | ||||
\(229\) | −9.62725 | − | 4.63624i | −0.636187 | − | 0.306371i | 0.0878491 | − | 0.996134i | \(-0.472001\pi\) |
−0.724036 | + | 0.689762i | \(0.757715\pi\) | |||||||
\(230\) | −0.284863 | − | 0.0429361i | −0.0187833 | − | 0.00283112i | ||||
\(231\) | 18.5837 | − | 20.9695i | 1.22272 | − | 1.37969i | ||||
\(232\) | 5.60396 | − | 0.844661i | 0.367918 | − | 0.0554547i | ||||
\(233\) | −16.9657 | − | 5.23324i | −1.11146 | − | 0.342841i | −0.315949 | − | 0.948776i | \(-0.602323\pi\) |
−0.795514 | + | 0.605935i | \(0.792799\pi\) | |||||||
\(234\) | −2.13730 | + | 1.79807i | −0.139720 | + | 0.117543i | ||||
\(235\) | −0.171093 | − | 2.28308i | −0.0111609 | − | 0.148932i | ||||
\(236\) | 3.93406 | + | 0.592964i | 0.256086 | + | 0.0385987i | ||||
\(237\) | 3.54372 | − | 10.5697i | 0.230189 | − | 0.686576i | ||||
\(238\) | 0.0921238 | − | 0.514261i | 0.00597150 | − | 0.0333346i | ||||
\(239\) | 0.166359 | + | 2.21991i | 0.0107609 | + | 0.143594i | 0.999996 | − | 0.00273922i | \(-0.000871923\pi\) |
−0.989235 | + | 0.146333i | \(0.953253\pi\) | |||||||
\(240\) | −1.01458 | + | 3.02614i | −0.0654906 | + | 0.195336i | ||||
\(241\) | −1.49702 | + | 6.55886i | −0.0964313 | + | 0.422493i | −0.999982 | − | 0.00598788i | \(-0.998094\pi\) |
0.903551 | + | 0.428481i | \(0.140951\pi\) | |||||||
\(242\) | −3.91468 | − | 2.66898i | −0.251645 | − | 0.171569i | ||||
\(243\) | 7.15590 | + | 13.8489i | 0.459051 | + | 0.888410i | ||||
\(244\) | −16.2074 | −1.03757 | ||||||||
\(245\) | −2.68929 | − | 2.06022i | −0.171813 | − | 0.131623i | ||||
\(246\) | −1.53832 | − | 0.390658i | −0.0980798 | − | 0.0249075i | ||||
\(247\) | −11.5906 | − | 14.5341i | −0.737490 | − | 0.924783i | ||||
\(248\) | −0.131003 | + | 1.74812i | −0.00831872 | + | 0.111006i | ||||
\(249\) | −12.5190 | + | 24.4578i | −0.793362 | + | 1.54995i | ||||
\(250\) | 0.701240 | + | 0.478098i | 0.0443503 | + | 0.0302375i | ||||
\(251\) | 22.3965 | + | 10.7856i | 1.41365 | + | 0.680779i | 0.975880 | − | 0.218307i | \(-0.0700534\pi\) |
0.437772 | + | 0.899086i | \(0.355768\pi\) | |||||||
\(252\) | 15.4475 | − | 2.30547i | 0.973099 | − | 0.145231i | ||||
\(253\) | −18.2606 | + | 8.79383i | −1.14803 | + | 0.552863i | ||||
\(254\) | 0.546989 | + | 0.0824453i | 0.0343211 | + | 0.00517308i | ||||
\(255\) | 0.865984 | − | 0.315819i | 0.0542300 | − | 0.0197774i | ||||
\(256\) | −13.3316 | + | 2.00942i | −0.833226 | + | 0.125589i | ||||
\(257\) | −3.02150 | − | 13.2381i | −0.188476 | − | 0.825768i | −0.977421 | − | 0.211303i | \(-0.932229\pi\) |
0.788944 | − | 0.614465i | \(-0.210628\pi\) | |||||||
\(258\) | 1.98514 | − | 2.76488i | 0.123589 | − | 0.172134i | ||||
\(259\) | 5.29790 | + | 6.03633i | 0.329196 | + | 0.375079i | ||||
\(260\) | −3.07842 | + | 3.86022i | −0.190916 | + | 0.239401i | ||||
\(261\) | 9.78636 | − | 21.7629i | 0.605760 | − | 1.34709i | ||||
\(262\) | 2.12827 | − | 1.97474i | 0.131485 | − | 0.122000i | ||||
\(263\) | 26.5563 | 1.63753 | 0.818767 | − | 0.574126i | \(-0.194658\pi\) | ||||
0.818767 | + | 0.574126i | \(0.194658\pi\) | |||||||
\(264\) | −2.04829 | − | 7.26225i | −0.126064 | − | 0.446961i | ||||
\(265\) | −0.456911 | + | 0.423952i | −0.0280678 | + | 0.0260431i | ||||
\(266\) | −0.207216 | − | 1.69088i | −0.0127052 | − | 0.103675i | ||||
\(267\) | 6.25356 | − | 12.2172i | 0.382712 | − | 0.747683i | ||||
\(268\) | −10.7977 | + | 3.33065i | −0.659574 | + | 0.203452i | ||||
\(269\) | −5.48984 | − | 0.827461i | −0.334722 | − | 0.0504512i | −0.0204688 | − | 0.999790i | \(-0.506516\pi\) |
−0.314253 | + | 0.949339i | \(0.601754\pi\) | |||||||
\(270\) | −0.282233 | − | 0.352520i | −0.0171761 | − | 0.0214537i | ||||
\(271\) | −20.8224 | − | 19.3204i | −1.26487 | − | 1.17363i | −0.976360 | − | 0.216152i | \(-0.930649\pi\) |
−0.288511 | − | 0.957477i | \(-0.593160\pi\) | |||||||
\(272\) | 3.06926 | + | 2.84785i | 0.186101 | + | 0.172677i | ||||
\(273\) | 23.2779 | + | 4.75630i | 1.40884 | + | 0.287864i | ||||
\(274\) | 0.518788 | − | 0.481365i | 0.0313411 | − | 0.0290803i | ||||
\(275\) | 29.1393 | 1.75717 | ||||||||
\(276\) | −10.9501 | − | 2.78080i | −0.659120 | − | 0.167384i | ||||
\(277\) | −0.951741 | − | 4.16985i | −0.0571846 | − | 0.250542i | 0.938254 | − | 0.345947i | \(-0.112442\pi\) |
−0.995439 | + | 0.0954053i | \(0.969585\pi\) | |||||||
\(278\) | 1.55561 | − | 1.06059i | 0.0932990 | − | 0.0636102i | ||||
\(279\) | 5.88941 | + | 4.44923i | 0.352590 | + | 0.266368i | ||||
\(280\) | −0.858149 | + | 0.309695i | −0.0512842 | + | 0.0185078i | ||||
\(281\) | 8.64637 | − | 1.30323i | 0.515799 | − | 0.0777442i | 0.114016 | − | 0.993479i | \(-0.463629\pi\) |
0.401783 | + | 0.915735i | \(0.368390\pi\) | |||||||
\(282\) | −0.0357429 | + | 1.47095i | −0.00212846 | + | 0.0875939i | ||||
\(283\) | −19.2157 | + | 2.89630i | −1.14225 | + | 0.172167i | −0.692795 | − | 0.721134i | \(-0.743621\pi\) |
−0.449458 | + | 0.893301i | \(0.648383\pi\) | |||||||
\(284\) | −8.95274 | + | 6.10388i | −0.531247 | + | 0.362198i | ||||
\(285\) | 2.39471 | − | 1.81633i | 0.141851 | − | 0.107590i | ||||
\(286\) | 0.425401 | − | 5.67658i | 0.0251545 | − | 0.335663i | ||||
\(287\) | 5.51922 | + | 12.3213i | 0.325789 | + | 0.727303i | ||||
\(288\) | 2.59452 | − | 5.76971i | 0.152884 | − | 0.339983i | ||||
\(289\) | −1.18005 | + | 15.7466i | −0.0694145 | + | 0.926272i | ||||
\(290\) | −0.153820 | + | 0.673928i | −0.00903260 | + | 0.0395744i | ||||
\(291\) | −2.47833 | + | 0.502654i | −0.145282 | + | 0.0294661i | ||||
\(292\) | 10.4605 | + | 13.1171i | 0.612157 | + | 0.767620i | ||||
\(293\) | 2.56885 | + | 4.44939i | 0.150074 | + | 0.259936i | 0.931254 | − | 0.364369i | \(-0.118715\pi\) |
−0.781180 | + | 0.624305i | \(0.785382\pi\) | |||||||
\(294\) | 1.58886 | + | 1.48854i | 0.0926644 | + | 0.0868134i | ||||
\(295\) | −0.489250 | + | 0.847407i | −0.0284853 | + | 0.0493379i | ||||
\(296\) | 2.13873 | − | 0.322362i | 0.124311 | − | 0.0187369i | ||||
\(297\) | −30.3772 | − | 9.30639i | −1.76266 | − | 0.540012i | ||||
\(298\) | −2.71594 | + | 0.837757i | −0.157330 | + | 0.0485300i | ||||
\(299\) | −14.1997 | − | 9.68121i | −0.821191 | − | 0.559879i | ||||
\(300\) | 12.4495 | + | 10.4328i | 0.718772 | + | 0.602339i | ||||
\(301\) | −28.9213 | + | 1.36440i | −1.66700 | + | 0.0786429i | ||||
\(302\) | 1.67092 | + | 1.13921i | 0.0961504 | + | 0.0655543i | ||||
\(303\) | −29.2290 | − | 12.2991i | −1.67916 | − | 0.706563i | ||||
\(304\) | 12.3003 | + | 5.92352i | 0.705472 | + | 0.339737i | ||||
\(305\) | 1.45631 | − | 3.71061i | 0.0833880 | − | 0.212469i | ||||
\(306\) | −0.573894 | + | 0.146912i | −0.0328073 | + | 0.00839842i | ||||
\(307\) | −8.47323 | − | 10.6251i | −0.483593 | − | 0.606406i | 0.478848 | − | 0.877898i | \(-0.341054\pi\) |
−0.962441 | + | 0.271492i | \(0.912483\pi\) | |||||||
\(308\) | −18.6522 | + | 25.7950i | −1.06281 | + | 1.46981i | ||||
\(309\) | −16.0862 | − | 6.76880i | −0.915112 | − | 0.385064i | ||||
\(310\) | −0.192648 | − | 0.0927744i | −0.0109417 | − | 0.00526923i | ||||
\(311\) | 22.9261 | + | 7.07176i | 1.30002 | + | 0.401003i | 0.866065 | − | 0.499932i | \(-0.166642\pi\) |
0.433955 | + | 0.900935i | \(0.357118\pi\) | |||||||
\(312\) | 4.46458 | − | 4.58316i | 0.252757 | − | 0.259470i | ||||
\(313\) | 0.508396 | + | 0.880568i | 0.0287362 | + | 0.0497726i | 0.880036 | − | 0.474907i | \(-0.157518\pi\) |
−0.851300 | + | 0.524680i | \(0.824185\pi\) | |||||||
\(314\) | −0.234309 | − | 1.02657i | −0.0132228 | − | 0.0579329i | ||||
\(315\) | −0.860199 | + | 3.74379i | −0.0484667 | + | 0.210939i | ||||
\(316\) | −2.81822 | + | 12.3474i | −0.158537 | + | 0.694598i | ||||
\(317\) | 8.62622 | − | 2.66084i | 0.484497 | − | 0.149448i | −0.0428777 | − | 0.999080i | \(-0.513653\pi\) |
0.527375 | + | 0.849633i | \(0.323176\pi\) | |||||||
\(318\) | 0.319159 | − | 0.242074i | 0.0178975 | − | 0.0135749i | ||||
\(319\) | 17.7677 | + | 45.2713i | 0.994800 | + | 2.53471i | ||||
\(320\) | 0.779308 | − | 3.41437i | 0.0435646 | − | 0.190869i | ||||
\(321\) | 12.8955 | − | 25.1933i | 0.719758 | − | 1.40615i | ||||
\(322\) | −0.643816 | − | 1.43728i | −0.0358785 | − | 0.0800964i | ||||
\(323\) | −0.877369 | − | 3.84401i | −0.0488181 | − | 0.213886i | ||||
\(324\) | −9.64636 | − | 14.8521i | −0.535909 | − | 0.825115i | ||||
\(325\) | 12.3543 | + | 21.3983i | 0.685295 | + | 1.18697i | ||||
\(326\) | 0.131285 | + | 0.575197i | 0.00727120 | + | 0.0318572i | ||||
\(327\) | −14.5407 | + | 5.30290i | −0.804101 | + | 0.293251i | ||||
\(328\) | 3.59521 | + | 0.541891i | 0.198512 | + | 0.0299209i | ||||
\(329\) | 9.99765 | − | 7.53014i | 0.551188 | − | 0.415150i | ||||
\(330\) | 0.915852 | + | 0.0910538i | 0.0504160 | + | 0.00501235i | ||||
\(331\) | 12.8753 | − | 11.9465i | 0.707688 | − | 0.656639i | −0.241842 | − | 0.970316i | \(-0.577751\pi\) |
0.949530 | + | 0.313677i | \(0.101561\pi\) | |||||||
\(332\) | 11.4040 | − | 29.0568i | 0.625874 | − | 1.59470i | ||||
\(333\) | 3.73493 | − | 8.30574i | 0.204673 | − | 0.455152i | ||||
\(334\) | 0.112812 | + | 0.287440i | 0.00617279 | + | 0.0157280i | ||||
\(335\) | 0.207685 | − | 2.77136i | 0.0113470 | − | 0.151416i | ||||
\(336\) | −16.9178 | + | 4.27025i | −0.922943 | + | 0.232961i | ||||
\(337\) | −0.00495329 | − | 0.0660970i | −0.000269823 | − | 0.00360053i | 0.997067 | − | 0.0765302i | \(-0.0243842\pi\) |
−0.997337 | + | 0.0729297i | \(0.976765\pi\) | |||||||
\(338\) | 2.24566 | − | 1.08145i | 0.122148 | − | 0.0588234i | ||||
\(339\) | −11.6230 | − | 17.9707i | −0.631275 | − | 0.976037i | ||||
\(340\) | −0.943507 | + | 0.454369i | −0.0511689 | + | 0.0246416i | ||||
\(341\) | −14.8754 | + | 2.24210i | −0.805548 | + | 0.121417i | ||||
\(342\) | −1.64695 | + | 1.00932i | −0.0890568 | + | 0.0545779i | ||||
\(343\) | 1.53496 | − | 18.4565i | 0.0828801 | − | 0.996560i | ||||
\(344\) | −3.89860 | + | 6.75256i | −0.210198 | + | 0.364074i | ||||
\(345\) | 1.62057 | − | 2.25712i | 0.0872487 | − | 0.121519i | ||||
\(346\) | −0.0126033 | + | 0.168180i | −0.000677559 | + | 0.00904139i | ||||
\(347\) | −5.57202 | − | 5.17008i | −0.299122 | − | 0.277545i | 0.516305 | − | 0.856405i | \(-0.327307\pi\) |
−0.815427 | + | 0.578860i | \(0.803498\pi\) | |||||||
\(348\) | −8.61752 | + | 25.7031i | −0.461948 | + | 1.37783i | ||||
\(349\) | −16.3968 | + | 11.1791i | −0.877701 | + | 0.598406i | −0.916142 | − | 0.400855i | \(-0.868713\pi\) |
0.0384411 | + | 0.999261i | \(0.487761\pi\) | |||||||
\(350\) | −0.0626176 | + | 2.26338i | −0.00334705 | + | 0.120983i | ||||
\(351\) | −6.04504 | − | 26.2530i | −0.322661 | − | 1.40128i | ||||
\(352\) | 4.71050 | + | 12.0022i | 0.251071 | + | 0.639718i | ||||
\(353\) | 14.6621 | + | 7.06091i | 0.780386 | + | 0.375814i | 0.781276 | − | 0.624185i | \(-0.214569\pi\) |
−0.000890079 | 1.00000i | \(0.500283\pi\) | ||||||||
\(354\) | 0.366764 | − | 0.510826i | 0.0194933 | − | 0.0271501i | ||||
\(355\) | −0.593012 | − | 2.59816i | −0.0314738 | − | 0.137896i | ||||
\(356\) | −5.69655 | + | 14.5146i | −0.301917 | + | 0.769271i | ||||
\(357\) | 4.01055 | + | 3.05106i | 0.212261 | + | 0.161479i | ||||
\(358\) | −0.267508 | − | 0.681600i | −0.0141383 | − | 0.0360237i | ||||
\(359\) | −29.1757 | + | 19.8917i | −1.53983 | + | 1.04984i | −0.565497 | + | 0.824751i | \(0.691315\pi\) |
−0.974338 | + | 0.225091i | \(0.927732\pi\) | |||||||
\(360\) | 0.723255 | + | 0.739623i | 0.0381189 | + | 0.0389816i | ||||
\(361\) | 3.07180 | + | 5.32051i | 0.161674 | + | 0.280027i | ||||
\(362\) | 1.06343 | + | 1.84191i | 0.0558926 | + | 0.0968088i | ||||
\(363\) | 40.1202 | − | 21.8815i | 2.10576 | − | 1.14848i | ||||
\(364\) | −26.8505 | − | 2.76072i | −1.40735 | − | 0.144701i | ||||
\(365\) | −3.94304 | + | 1.21627i | −0.206388 | + | 0.0636622i | ||||
\(366\) | −1.16726 | + | 2.28042i | −0.0610137 | + | 0.119199i | ||||
\(367\) | 8.81837 | − | 11.0579i | 0.460315 | − | 0.577217i | −0.496455 | − | 0.868063i | \(-0.665365\pi\) |
0.956770 | + | 0.290846i | \(0.0939366\pi\) | |||||||
\(368\) | 12.4804 | + | 1.88111i | 0.650585 | + | 0.0980598i | ||||
\(369\) | 10.1149 | − | 11.4911i | 0.526558 | − | 0.598202i | ||||
\(370\) | −0.0587047 | + | 0.257202i | −0.00305191 | + | 0.0133713i | ||||
\(371\) | −3.29981 | − | 0.849816i | −0.171317 | − | 0.0441203i | ||||
\(372\) | −7.15811 | − | 4.36795i | −0.371131 | − | 0.226468i | ||||
\(373\) | −26.8265 | −1.38902 | −0.694512 | − | 0.719481i | \(-0.744380\pi\) | ||||
−0.694512 | + | 0.719481i | \(0.744380\pi\) | |||||||
\(374\) | 0.603683 | − | 1.04561i | 0.0312157 | − | 0.0540672i | ||||
\(375\) | −7.18676 | + | 3.91966i | −0.371123 | + | 0.202410i | ||||
\(376\) | −0.251887 | − | 3.36120i | −0.0129901 | − | 0.173341i | ||||
\(377\) | −25.7118 | + | 32.2415i | −1.32422 | + | 1.66052i | ||||
\(378\) | 0.788147 | − | 2.33953i | 0.0405379 | − | 0.120333i | ||||
\(379\) | −1.02306 | − | 1.28287i | −0.0525510 | − | 0.0658969i | 0.754861 | − | 0.655884i | \(-0.227704\pi\) |
−0.807412 | + | 0.589987i | \(0.799133\pi\) | |||||||
\(380\) | −2.50310 | + | 2.32254i | −0.128406 | + | 0.119144i | ||||
\(381\) | −3.11180 | + | 4.33409i | −0.159422 | + | 0.222042i | ||||
\(382\) | 1.14123 | − | 0.778079i | 0.0583905 | − | 0.0398100i | ||||
\(383\) | −11.1520 | + | 13.9842i | −0.569841 | + | 0.714558i | −0.980343 | − | 0.197302i | \(-0.936782\pi\) |
0.410502 | + | 0.911860i | \(0.365354\pi\) | |||||||
\(384\) | −3.03756 | + | 9.06000i | −0.155010 | + | 0.462341i | ||||
\(385\) | −4.22967 | − | 6.58814i | −0.215564 | − | 0.335763i | ||||
\(386\) | 3.50257 | + | 1.68675i | 0.178276 | + | 0.0858531i | ||||
\(387\) | 15.0148 | + | 29.1955i | 0.763245 | + | 1.48409i | ||||
\(388\) | 2.74528 | − | 0.846807i | 0.139371 | − | 0.0429901i | ||||
\(389\) | 7.10219 | − | 3.42024i | 0.360095 | − | 0.173413i | −0.245084 | − | 0.969502i | \(-0.578816\pi\) |
0.605180 | + | 0.796089i | \(0.293101\pi\) | |||||||
\(390\) | 0.321433 | + | 0.711156i | 0.0162764 | + | 0.0360108i | ||||
\(391\) | −1.82255 | − | 3.15676i | −0.0921706 | − | 0.159644i | ||||
\(392\) | −3.95924 | − | 3.03311i | −0.199972 | − | 0.153195i | ||||
\(393\) | 7.60167 | + | 26.9519i | 0.383454 | + | 1.35954i | ||||
\(394\) | −0.371090 | + | 0.945522i | −0.0186952 | + | 0.0476347i | ||||
\(395\) | −2.57367 | − | 1.75470i | −0.129495 | − | 0.0882884i | ||||
\(396\) | 35.3877 | + | 7.10672i | 1.77830 | + | 0.357126i | ||||
\(397\) | 0.941449 | − | 12.5628i | 0.0472500 | − | 0.630507i | −0.922436 | − | 0.386151i | \(-0.873804\pi\) |
0.969686 | − | 0.244356i | \(-0.0785766\pi\) | |||||||
\(398\) | −0.0660529 | + | 0.0450341i | −0.00331093 | + | 0.00225736i | ||||
\(399\) | 15.4285 | + | 5.65200i | 0.772392 | + | 0.282954i | ||||
\(400\) | −14.9929 | − | 10.2220i | −0.749646 | − | 0.511100i | ||||
\(401\) | 20.3221 | − | 25.4831i | 1.01484 | − | 1.27257i | 0.0531007 | − | 0.998589i | \(-0.483090\pi\) |
0.961736 | − | 0.273976i | \(-0.0883390\pi\) | |||||||
\(402\) | −0.309024 | + | 1.75913i | −0.0154127 | + | 0.0877377i | ||||
\(403\) | −7.95326 | − | 9.97308i | −0.396180 | − | 0.496794i | ||||
\(404\) | 34.4260 | + | 10.6190i | 1.71276 | + | 0.528316i | ||||
\(405\) | 4.26709 | − | 0.873968i | 0.212034 | − | 0.0434278i | ||||
\(406\) | −3.55461 | + | 1.28281i | −0.176412 | + | 0.0636650i | ||||
\(407\) | 6.78098 | + | 17.2776i | 0.336120 | + | 0.856421i | ||||
\(408\) | 1.27492 | − | 0.464956i | 0.0631180 | − | 0.0230188i | ||||
\(409\) | 35.8193 | + | 11.0488i | 1.77115 | + | 0.546327i | 0.996310 | − | 0.0858317i | \(-0.0273547\pi\) |
0.774839 | + | 0.632159i | \(0.217831\pi\) | |||||||
\(410\) | −0.221738 | + | 0.384062i | −0.0109509 | + | 0.0189675i | ||||
\(411\) | 1.85299 | + | 6.56981i | 0.0914011 | + | 0.324065i | ||||
\(412\) | 18.9464 | + | 5.84419i | 0.933421 | + | 0.287922i | ||||
\(413\) | −5.34336 | + | 0.252080i | −0.262930 | + | 0.0124041i | ||||
\(414\) | −1.17990 | + | 1.34043i | −0.0579887 | + | 0.0658787i | ||||
\(415\) | 5.62775 | + | 5.22178i | 0.276255 | + | 0.256327i | ||||
\(416\) | −6.81660 | + | 8.54775i | −0.334212 | + | 0.419088i | ||||
\(417\) | 2.26958 | + | 18.0175i | 0.111142 | + | 0.882321i | ||||
\(418\) | 0.876028 | − | 3.83813i | 0.0428479 | − | 0.187729i | ||||
\(419\) | −11.0435 | + | 3.40646i | −0.539509 | + | 0.166417i | −0.552521 | − | 0.833499i | \(-0.686334\pi\) |
0.0130119 | + | 0.999915i | \(0.495858\pi\) | |||||||
\(420\) | 0.551679 | − | 4.32908i | 0.0269192 | − | 0.211237i | ||||
\(421\) | 23.2768 | + | 7.17995i | 1.13444 | + | 0.349929i | 0.804430 | − | 0.594047i | \(-0.202471\pi\) |
0.330013 | + | 0.943976i | \(0.392947\pi\) | |||||||
\(422\) | 0.0945641 | − | 0.163790i | 0.00460331 | − | 0.00797317i | ||||
\(423\) | −12.4724 | − | 6.77148i | −0.606431 | − | 0.329241i | ||||
\(424\) | −0.672675 | + | 0.624151i | −0.0326680 | + | 0.0303114i | ||||
\(425\) | 0.391635 | + | 5.22600i | 0.0189971 | + | 0.253498i | ||||
\(426\) | 0.214050 | + | 1.69927i | 0.0103707 | + | 0.0823301i | ||||
\(427\) | 21.3713 | − | 4.25972i | 1.03423 | − | 0.206142i | ||||
\(428\) | −11.7469 | + | 29.9306i | −0.567808 | + | 1.44675i | ||||
\(429\) | 46.8693 | + | 28.6001i | 2.26287 | + | 1.38083i | ||||
\(430\) | −0.592974 | − | 0.743566i | −0.0285957 | − | 0.0358579i | ||||
\(431\) | 0.435894 | + | 5.81661i | 0.0209963 | + | 0.280176i | 0.997813 | + | 0.0660990i | \(0.0210553\pi\) |
−0.976817 | + | 0.214077i | \(0.931326\pi\) | |||||||
\(432\) | 12.3652 | + | 15.4446i | 0.594919 | + | 0.743079i | ||||
\(433\) | 0.863123 | − | 0.415658i | 0.0414790 | − | 0.0199753i | −0.413029 | − | 0.910718i | \(-0.635529\pi\) |
0.454508 | + | 0.890743i | \(0.349815\pi\) | |||||||
\(434\) | −0.142189 | − | 1.16026i | −0.00682527 | − | 0.0556941i | ||||
\(435\) | −5.11031 | − | 4.28249i | −0.245020 | − | 0.205330i | ||||
\(436\) | 15.8424 | − | 7.62928i | 0.758711 | − | 0.365376i | ||||
\(437\) | −8.71271 | − | 8.08421i | −0.416785 | − | 0.386720i | ||||
\(438\) | 2.59898 | − | 0.527123i | 0.124184 | − | 0.0251869i | ||||
\(439\) | 12.9112 | − | 32.8971i | 0.616217 | − | 1.57009i | −0.192118 | − | 0.981372i | \(-0.561536\pi\) |
0.808335 | − | 0.588723i | \(-0.200369\pi\) | |||||||
\(440\) | −2.10836 | −0.100512 | ||||||||
\(441\) | −19.7633 | + | 7.10002i | −0.941111 | + | 0.338096i | ||||
\(442\) | 1.02379 | 0.0486965 | ||||||||
\(443\) | 8.46009 | − | 21.5560i | 0.401951 | − | 1.02415i | −0.576394 | − | 0.817172i | \(-0.695541\pi\) |
0.978345 | − | 0.206982i | \(-0.0663642\pi\) | |||||||
\(444\) | −3.28885 | + | 9.80951i | −0.156082 | + | 0.465539i | ||||
\(445\) | −2.81119 | − | 2.60841i | −0.133263 | − | 0.123650i | ||||
\(446\) | 4.29880 | − | 2.07019i | 0.203554 | − | 0.0980265i | ||||
\(447\) | 4.74318 | − | 27.0008i | 0.224345 | − | 1.27709i | ||||
\(448\) | 18.0090 | − | 6.49921i | 0.850845 | − | 0.307059i | ||||
\(449\) | 24.5970 | − | 11.8453i | 1.16080 | − | 0.559013i | 0.248542 | − | 0.968621i | \(-0.420049\pi\) |
0.912262 | + | 0.409608i | \(0.134334\pi\) | |||||||
\(450\) | 2.36454 | − | 1.00030i | 0.111465 | − | 0.0471545i | ||||
\(451\) | 2.33162 | + | 31.1133i | 0.109792 | + | 1.46507i | ||||
\(452\) | 15.1597 | + | 19.0097i | 0.713055 | + | 0.894142i | ||||
\(453\) | −17.1246 | + | 9.33977i | −0.804585 | + | 0.438820i | ||||
\(454\) | −1.49556 | + | 3.81063i | −0.0701901 | + | 0.178842i | ||||
\(455\) | 3.04469 | − | 5.89924i | 0.142737 | − | 0.276561i | ||||
\(456\) | 3.52555 | − | 2.67405i | 0.165099 | − | 0.125224i | ||||
\(457\) | 1.55539 | + | 20.7552i | 0.0727579 | + | 0.970887i | 0.907447 | + | 0.420166i | \(0.138028\pi\) |
−0.834689 | + | 0.550721i | \(0.814353\pi\) | |||||||
\(458\) | 1.40659 | − | 1.30513i | 0.0657258 | − | 0.0609847i | ||||
\(459\) | 1.26079 | − | 5.57308i | 0.0588484 | − | 0.260129i | ||||
\(460\) | −1.57838 | + | 2.73384i | −0.0735925 | + | 0.127466i | ||||
\(461\) | 7.39010 | + | 2.27954i | 0.344191 | + | 0.106169i | 0.462031 | − | 0.886864i | \(-0.347121\pi\) |
−0.117840 | + | 0.993033i | \(0.537597\pi\) | |||||||
\(462\) | 2.28608 | + | 4.48217i | 0.106358 | + | 0.208529i | ||||
\(463\) | −13.3990 | + | 4.13303i | −0.622703 | + | 0.192078i | −0.590022 | − | 0.807387i | \(-0.700881\pi\) |
−0.0326812 | + | 0.999466i | \(0.510405\pi\) | |||||||
\(464\) | 6.73914 | − | 29.5261i | 0.312857 | − | 1.37071i | ||||
\(465\) | 1.64321 | − | 1.24634i | 0.0762022 | − | 0.0577976i | ||||
\(466\) | 1.98783 | − | 2.49266i | 0.0920846 | − | 0.115470i | ||||
\(467\) | 0.422734 | + | 0.392240i | 0.0195618 | + | 0.0181507i | 0.689893 | − | 0.723911i | \(-0.257658\pi\) |
−0.670331 | + | 0.742062i | \(0.733848\pi\) | |||||||
\(468\) | 9.78469 | + | 28.9998i | 0.452297 | + | 1.34052i | ||||
\(469\) | 13.3626 | − | 7.22976i | 0.617029 | − | 0.333839i | ||||
\(470\) | 0.392864 | + | 0.121183i | 0.0181215 | + | 0.00558974i | ||||
\(471\) | 9.84386 | + | 2.49986i | 0.453581 | + | 0.115187i | ||||
\(472\) | −0.720285 | + | 1.24757i | −0.0331538 | + | 0.0574241i | ||||
\(473\) | −63.9384 | − | 19.7224i | −2.93989 | − | 0.906836i | ||||
\(474\) | 1.53434 | + | 1.28580i | 0.0704747 | + | 0.0590586i | ||||
\(475\) | 6.24298 | + | 15.9069i | 0.286448 | + | 0.729857i | ||||
\(476\) | −4.87689 | − | 2.99849i | −0.223532 | − | 0.137436i | ||||
\(477\) | 0.675789 | + | 3.80416i | 0.0309423 | + | 0.174180i | ||||
\(478\) | −0.381994 | − | 0.117829i | −0.0174720 | − | 0.00538939i | ||||
\(479\) | −24.2826 | − | 30.4494i | −1.10950 | − | 1.39127i | −0.911615 | − | 0.411044i | \(-0.865164\pi\) |
−0.197885 | − | 0.980225i | \(-0.563407\pi\) | |||||||
\(480\) | −1.35483 | − | 1.13536i | −0.0618390 | − | 0.0518218i | ||||
\(481\) | −9.81280 | + | 12.3049i | −0.447425 | + | 0.561053i | ||||
\(482\) | −0.998166 | − | 0.680538i | −0.0454652 | − | 0.0309977i | ||||
\(483\) | 15.1699 | + | 0.788827i | 0.690253 | + | 0.0358929i | ||||
\(484\) | −42.8969 | + | 29.2466i | −1.94986 | + | 1.32939i | ||||
\(485\) | −0.0528033 | + | 0.704611i | −0.00239767 | + | 0.0319947i | ||||
\(486\) | −2.78445 | + | 0.287614i | −0.126305 | + | 0.0130464i | ||||
\(487\) | −4.63563 | − | 3.16052i | −0.210061 | − | 0.143217i | 0.453720 | − | 0.891144i | \(-0.350097\pi\) |
−0.663780 | + | 0.747927i | \(0.731049\pi\) | |||||||
\(488\) | 2.14401 | − | 5.46285i | 0.0970548 | − | 0.247292i | ||||
\(489\) | −5.51559 | − | 1.40069i | −0.249424 | − | 0.0633414i | ||||
\(490\) | 0.520819 | − | 0.314380i | 0.0235282 | − | 0.0142023i | ||||
\(491\) | 11.0326 | + | 19.1090i | 0.497894 | + | 0.862377i | 0.999997 | − | 0.00243043i | \(-0.000773630\pi\) |
−0.502103 | + | 0.864808i | \(0.667440\pi\) | |||||||
\(492\) | −10.1434 | + | 14.1276i | −0.457300 | + | 0.636923i | ||||
\(493\) | −7.88040 | + | 3.79500i | −0.354915 | + | 0.170918i | ||||
\(494\) | 3.18993 | − | 0.983962i | 0.143522 | − | 0.0442705i | ||||
\(495\) | −4.80680 | + | 7.46330i | −0.216050 | + | 0.335450i | ||||
\(496\) | 8.44028 | + | 4.06463i | 0.378980 | + | 0.182507i | ||||
\(497\) | 10.2010 | − | 10.4017i | 0.457576 | − | 0.466579i | ||||
\(498\) | −3.26704 | − | 3.69725i | −0.146400 | − | 0.165678i | ||||
\(499\) | 8.69751 | − | 10.9063i | 0.389354 | − | 0.488234i | −0.548066 | − | 0.836435i | \(-0.684636\pi\) |
0.937420 | + | 0.348201i | \(0.113207\pi\) | |||||||
\(500\) | 7.68415 | − | 5.23897i | 0.343646 | − | 0.234294i | ||||
\(501\) | −2.96373 | − | 0.294654i | −0.132410 | − | 0.0131642i | ||||
\(502\) | −3.27225 | + | 3.03620i | −0.146047 | + | 0.135512i | ||||
\(503\) | 15.5390 | + | 19.4853i | 0.692848 | + | 0.868804i | 0.996467 | − | 0.0839894i | \(-0.0267662\pi\) |
−0.303618 | + | 0.952794i | \(0.598195\pi\) | |||||||
\(504\) | −1.26640 | + | 5.51169i | −0.0564101 | + | 0.245510i | ||||
\(505\) | −5.52452 | + | 6.92753i | −0.245838 | + | 0.308271i | ||||
\(506\) | −0.271983 | − | 3.62936i | −0.0120911 | − | 0.161345i | ||||
\(507\) | −0.584005 | + | 24.0340i | −0.0259366 | + | 1.06739i | ||||
\(508\) | 3.03079 | − | 5.24948i | 0.134469 | − | 0.232908i | ||||
\(509\) | 6.61755 | 0.293318 | 0.146659 | − | 0.989187i | \(-0.453148\pi\) | ||||
0.146659 | + | 0.989187i | \(0.453148\pi\) | |||||||
\(510\) | −0.00402096 | + | 0.165477i | −0.000178051 | + | 0.00732746i | ||||
\(511\) | −17.2409 | − | 14.5471i | −0.762695 | − | 0.643527i | ||||
\(512\) | 2.99401 | − | 13.1176i | 0.132318 | − | 0.579722i | ||||
\(513\) | −1.42792 | − | 18.5764i | −0.0630443 | − | 0.820170i | ||||
\(514\) | 2.41110 | + | 0.363415i | 0.106349 | + | 0.0160296i | ||||
\(515\) | −3.04042 | + | 3.81257i | −0.133977 | + | 0.168002i | ||||
\(516\) | −20.2558 | − | 31.3182i | −0.891712 | − | 1.37871i | ||||
\(517\) | 27.6398 | − | 8.52573i | 1.21559 | − | 0.374961i | ||||
\(518\) | −1.35660 | + | 0.489581i | −0.0596058 | + | 0.0215110i | ||||
\(519\) | −1.38859 | − | 0.847334i | −0.0609525 | − | 0.0371938i | ||||
\(520\) | −0.893891 | − | 1.54827i | −0.0391997 | − | 0.0678959i | ||||
\(521\) | 7.70555 | + | 13.3464i | 0.337586 | + | 0.584717i | 0.983978 | − | 0.178289i | \(-0.0570562\pi\) |
−0.646392 | + | 0.763006i | \(0.723723\pi\) | |||||||
\(522\) | 2.99585 | + | 3.06365i | 0.131125 | + | 0.134093i | ||||
\(523\) | 21.7991 | − | 14.8624i | 0.953209 | − | 0.649887i | 0.0164508 | − | 0.999865i | \(-0.494763\pi\) |
0.936758 | + | 0.349978i | \(0.113811\pi\) | |||||||
\(524\) | −11.6230 | − | 29.6150i | −0.507754 | − | 1.29374i | ||||
\(525\) | −19.1581 | − | 10.4848i | −0.836129 | − | 0.457596i | ||||
\(526\) | −1.74224 | + | 4.43916i | −0.0759653 | + | 0.193556i | ||||
\(527\) | −0.602037 | − | 2.63770i | −0.0262251 | − | 0.114900i | ||||
\(528\) | −40.1252 | − | 3.98924i | −1.74623 | − | 0.173610i | ||||
\(529\) | 10.8225 | + | 5.21182i | 0.470542 | + | 0.226601i | ||||
\(530\) | −0.0408919 | − | 0.104191i | −0.00177623 | − | 0.00452576i | ||||
\(531\) | 2.77406 | + | 5.39401i | 0.120384 | + | 0.234080i | ||||
\(532\) | −18.0773 | − | 4.65555i | −0.783752 | − | 0.201844i | ||||
\(533\) | −21.8593 | + | 14.9035i | −0.946833 | + | 0.645540i | ||||
\(534\) | 1.63197 | + | 1.84686i | 0.0706221 | + | 0.0799216i | ||||
\(535\) | −5.79698 | − | 5.37881i | −0.250625 | − | 0.232546i | ||||
\(536\) | 0.305758 | − | 4.08006i | 0.0132068 | − | 0.176232i | ||||
\(537\) | 7.02784 | + | 0.698707i | 0.303274 | + | 0.0301514i | ||||
\(538\) | 0.498482 | − | 0.863396i | 0.0214911 | − | 0.0372237i | ||||
\(539\) | 17.8155 | − | 38.9159i | 0.767366 | − | 1.67623i | ||||
\(540\) | −4.72576 | + | 1.46763i | −0.203364 | + | 0.0631567i | ||||
\(541\) | 16.1272 | − | 2.43079i | 0.693364 | − | 0.104508i | 0.207100 | − | 0.978320i | \(-0.433598\pi\) |
0.486264 | + | 0.873812i | \(0.338359\pi\) | |||||||
\(542\) | 4.59566 | − | 2.21315i | 0.197400 | − | 0.0950630i | ||||
\(543\) | −20.4882 | + | 1.03565i | −0.879232 | + | 0.0444438i | ||||
\(544\) | −2.08922 | + | 1.00612i | −0.0895747 | + | 0.0431369i | ||||
\(545\) | 0.323182 | + | 4.31257i | 0.0138436 | + | 0.184730i | ||||
\(546\) | −2.32222 | + | 3.57909i | −0.0993818 | + | 0.153171i | ||||
\(547\) | −2.91095 | + | 38.8440i | −0.124463 | + | 1.66085i | 0.489866 | + | 0.871798i | \(0.337046\pi\) |
−0.614329 | + | 0.789050i | \(0.710573\pi\) | |||||||
\(548\) | −2.83323 | − | 7.21896i | −0.121030 | − | 0.308379i | ||||
\(549\) | −14.4496 | − | 20.0441i | −0.616695 | − | 0.855462i | ||||
\(550\) | −1.91170 | + | 4.87093i | −0.0815152 | + | 0.207697i | ||||
\(551\) | −20.9065 | + | 19.3984i | −0.890646 | + | 0.826399i | ||||
\(552\) | 2.38584 | − | 3.32298i | 0.101548 | − | 0.141435i | ||||
\(553\) | 0.470928 | − | 17.0222i | 0.0200259 | − | 0.723859i | ||||
\(554\) | 0.759472 | + | 0.114472i | 0.0322669 | + | 0.00486345i | ||||
\(555\) | −1.95033 | − | 1.63440i | −0.0827869 | − | 0.0693764i | ||||
\(556\) | −4.59086 | − | 20.1139i | −0.194696 | − | 0.853018i | ||||
\(557\) | −16.9808 | − | 29.4117i | −0.719501 | − | 1.24621i | −0.961198 | − | 0.275861i | \(-0.911037\pi\) |
0.241697 | − | 0.970352i | \(-0.422296\pi\) | |||||||
\(558\) | −1.13011 | + | 0.692581i | −0.0478414 | + | 0.0293193i | ||||
\(559\) | −12.6252 | − | 55.3146i | −0.533989 | − | 2.33956i | ||||
\(560\) | −0.134828 | + | 4.87352i | −0.00569753 | + | 0.205944i | ||||
\(561\) | 6.32447 | + | 9.77849i | 0.267020 | + | 0.412848i | ||||
\(562\) | −0.349401 | + | 1.53083i | −0.0147386 | + | 0.0645740i | ||||
\(563\) | 1.22536 | + | 3.12215i | 0.0516426 | + | 0.131583i | 0.954367 | − | 0.298636i | \(-0.0965316\pi\) |
−0.902725 | + | 0.430219i | \(0.858436\pi\) | |||||||
\(564\) | 14.8613 | + | 6.25338i | 0.625774 | + | 0.263315i | ||||
\(565\) | −5.71437 | + | 1.76265i | −0.240406 | + | 0.0741553i | ||||
\(566\) | 0.776509 | − | 3.40211i | 0.0326391 | − | 0.143001i | ||||
\(567\) | 16.6234 | + | 17.0489i | 0.698115 | + | 0.715985i | ||||
\(568\) | −0.873045 | − | 3.82506i | −0.0366322 | − | 0.160496i | ||||
\(569\) | 13.1701 | + | 22.8113i | 0.552120 | + | 0.956301i | 0.998121 | + | 0.0612682i | \(0.0195145\pi\) |
−0.446001 | + | 0.895033i | \(0.647152\pi\) | |||||||
\(570\) | 0.146512 | + | 0.519462i | 0.00613671 | + | 0.0217578i | ||||
\(571\) | 16.2024 | + | 4.99777i | 0.678048 | + | 0.209150i | 0.614605 | − | 0.788835i | \(-0.289316\pi\) |
0.0634436 | + | 0.997985i | \(0.479792\pi\) | |||||||
\(572\) | −56.2007 | − | 27.0648i | −2.34987 | − | 1.13164i | ||||
\(573\) | 1.66502 | + | 13.2181i | 0.0695572 | + | 0.552194i | ||||
\(574\) | −2.42172 | + | 0.114248i | −0.101081 | + | 0.00476862i | ||||
\(575\) | 9.84968 | + | 12.3511i | 0.410760 | + | 0.515077i | ||||
\(576\) | −15.1781 | − | 15.5216i | −0.632421 | − | 0.646734i | ||||
\(577\) | 0.229442 | − | 0.584607i | 0.00955178 | − | 0.0243375i | −0.926018 | − | 0.377479i | \(-0.876791\pi\) |
0.935570 | + | 0.353141i | \(0.114886\pi\) | |||||||
\(578\) | −2.55479 | − | 1.23032i | −0.106265 | − | 0.0511746i | ||||
\(579\) | −29.8755 | + | 22.6599i | −1.24159 | + | 0.941713i | ||||
\(580\) | 6.25858 | + | 4.26703i | 0.259873 | + | 0.177179i | ||||
\(581\) | −7.40057 | + | 41.3121i | −0.307027 | + | 1.71391i | ||||
\(582\) | 0.0785685 | − | 0.447255i | 0.00325677 | − | 0.0185393i | ||||
\(583\) | −6.50632 | − | 4.43594i | −0.269464 | − | 0.183718i | ||||
\(584\) | −5.80502 | + | 1.79061i | −0.240214 | + | 0.0740961i | ||||
\(585\) | −7.51860 | − | 0.365607i | −0.310856 | − | 0.0151160i | ||||
\(586\) | −0.912290 | + | 0.137506i | −0.0376864 | + | 0.00568030i | ||||
\(587\) | −8.73167 | + | 15.1237i | −0.360395 | + | 0.624222i | −0.988026 | − | 0.154289i | \(-0.950691\pi\) |
0.627631 | + | 0.778511i | \(0.284025\pi\) | |||||||
\(588\) | 21.5446 | − | 10.2479i | 0.888486 | − | 0.422618i | ||||
\(589\) | −4.41093 | − | 7.63995i | −0.181749 | − | 0.314799i | ||||
\(590\) | −0.109555 | − | 0.137378i | −0.00451031 | − | 0.00565575i | ||||
\(591\) | −6.48733 | − | 7.34158i | −0.266853 | − | 0.301992i | ||||
\(592\) | 2.57197 | − | 11.2685i | 0.105707 | − | 0.463134i | ||||
\(593\) | 3.08545 | − | 41.1724i | 0.126704 | − | 1.69075i | −0.465569 | − | 0.885011i | \(-0.654150\pi\) |
0.592273 | − | 0.805737i | \(-0.298231\pi\) | |||||||
\(594\) | 3.54857 | − | 4.46730i | 0.145599 | − | 0.183296i | ||||
\(595\) | 1.12470 | − | 0.847116i | 0.0461084 | − | 0.0347284i | ||||
\(596\) | −2.32746 | + | 31.0577i | −0.0953363 | + | 1.27217i | ||||
\(597\) | −0.0963691 | − | 0.765045i | −0.00394412 | − | 0.0313112i | ||||
\(598\) | 2.54989 | − | 1.73849i | 0.104273 | − | 0.0710920i | ||||
\(599\) | −26.1200 | + | 3.93695i | −1.06723 | + | 0.160860i | −0.659095 | − | 0.752060i | \(-0.729060\pi\) |
−0.408139 | + | 0.912920i | \(0.633822\pi\) | |||||||
\(600\) | −5.16337 | + | 2.81610i | −0.210794 | + | 0.114967i | ||||
\(601\) | −4.92931 | + | 0.742974i | −0.201071 | + | 0.0303065i | −0.248805 | − | 0.968554i | \(-0.580038\pi\) |
0.0477346 | + | 0.998860i | \(0.484800\pi\) | |||||||
\(602\) | 1.66932 | − | 4.92400i | 0.0680365 | − | 0.200687i | ||||
\(603\) | −13.7457 | − | 10.3844i | −0.559770 | − | 0.422885i | ||||
\(604\) | 18.3098 | − | 12.4834i | 0.745016 | − | 0.507943i | ||||
\(605\) | −2.84140 | − | 12.4490i | −0.115520 | − | 0.506124i | ||||
\(606\) | 3.97349 | − | 4.07903i | 0.161412 | − | 0.165699i | ||||
\(607\) | 42.3439 | 1.71869 | 0.859343 | − | 0.511400i | \(-0.170873\pi\) | ||||
0.859343 | + | 0.511400i | \(0.170873\pi\) | |||||||
\(608\) | −5.54265 | + | 5.14283i | −0.224784 | + | 0.208569i | ||||
\(609\) | 4.60776 | − | 36.1575i | 0.186716 | − | 1.46518i | ||||
\(610\) | 0.524724 | + | 0.486873i | 0.0212455 | + | 0.0197129i | ||||
\(611\) | 17.9794 | + | 16.6824i | 0.727368 | + | 0.674899i | ||||
\(612\) | −0.798943 | + | 6.44213i | −0.0322954 | + | 0.260408i | ||||
\(613\) | 17.9113 | + | 2.69969i | 0.723429 | + | 0.109039i | 0.500427 | − | 0.865779i | \(-0.333176\pi\) |
0.223002 | + | 0.974818i | \(0.428414\pi\) | |||||||
\(614\) | 2.33198 | − | 0.719321i | 0.0941111 | − | 0.0290294i | ||||
\(615\) | −2.32303 | − | 3.59172i | −0.0936738 | − | 0.144832i | ||||
\(616\) | −6.22702 | − | 9.69920i | −0.250894 | − | 0.390792i | ||||
\(617\) | 0.364907 | − | 0.338584i | 0.0146906 | − | 0.0136309i | −0.672793 | − | 0.739831i | \(-0.734906\pi\) |
0.687484 | + | 0.726200i | \(0.258715\pi\) | |||||||
\(618\) | 2.18682 | − | 2.24490i | 0.0879666 | − | 0.0903031i | ||||
\(619\) | −30.3228 | −1.21878 | −0.609389 | − | 0.792872i | \(-0.708585\pi\) | ||||
−0.609389 | + | 0.792872i | \(0.708585\pi\) | |||||||
\(620\) | −1.71759 | + | 1.59369i | −0.0689800 | + | 0.0640040i | ||||
\(621\) | −6.32345 | − | 16.0215i | −0.253751 | − | 0.642922i | ||||
\(622\) | −2.68619 | + | 3.36838i | −0.107707 | + | 0.135060i | ||||
\(623\) | 3.69676 | − | 20.6364i | 0.148108 | − | 0.826778i | ||||
\(624\) | −14.0826 | − | 31.1571i | −0.563755 | − | 1.24728i | ||||
\(625\) | −4.79344 | − | 21.0015i | −0.191738 | − | 0.840058i | ||||
\(626\) | −0.180549 | + | 0.0272134i | −0.00721620 | + | 0.00108767i | ||||
\(627\) | 29.1040 | + | 24.3895i | 1.16230 | + | 0.974023i | ||||
\(628\) | −11.4096 | − | 1.71971i | −0.455291 | − | 0.0686240i | ||||
\(629\) | −3.00753 | + | 1.44835i | −0.119918 | + | 0.0577494i | ||||
\(630\) | −0.569379 | − | 0.389404i | −0.0226846 | − | 0.0155142i | ||||
\(631\) | −7.93409 | − | 3.82086i | −0.315851 | − | 0.152106i | 0.269241 | − | 0.963073i | \(-0.413227\pi\) |
−0.585092 | + | 0.810967i | \(0.698942\pi\) | |||||||
\(632\) | −3.78901 | − | 2.58330i | −0.150719 | − | 0.102758i | ||||
\(633\) | 0.990699 | + | 1.53175i | 0.0393767 | + | 0.0608817i | ||||
\(634\) | −0.121142 | + | 1.61653i | −0.00481116 | + | 0.0642004i | ||||
\(635\) | 0.929516 | + | 1.16558i | 0.0368867 | + | 0.0462545i | ||||
\(636\) | −1.19155 | − | 4.22468i | −0.0472482 | − | 0.167520i | ||||
\(637\) | 36.1310 | − | 3.41667i | 1.43156 | − | 0.135373i | ||||
\(638\) | −8.73322 | −0.345751 | ||||||||
\(639\) | −15.5306 | − | 5.63021i | −0.614381 | − | 0.222728i | ||||
\(640\) | 2.20606 | + | 1.50407i | 0.0872023 | + | 0.0594535i | ||||
\(641\) | −5.44667 | + | 23.8634i | −0.215130 | + | 0.942548i | 0.745890 | + | 0.666069i | \(0.232025\pi\) |
−0.961020 | + | 0.276478i | \(0.910833\pi\) | |||||||
\(642\) | 3.36529 | + | 3.80843i | 0.132817 | + | 0.150307i | ||||
\(643\) | −0.559845 | − | 7.47061i | −0.0220781 | − | 0.294612i | −0.997303 | − | 0.0733959i | \(-0.976616\pi\) |
0.975225 | − | 0.221216i | \(-0.0710027\pi\) | |||||||
\(644\) | −17.2384 | + | 0.813243i | −0.679286 | + | 0.0320463i | ||||
\(645\) | 8.99025 | − | 1.82340i | 0.353991 | − | 0.0717962i | ||||
\(646\) | 0.700124 | + | 0.105527i | 0.0275460 | + | 0.00415189i | ||||
\(647\) | −3.71042 | − | 49.5121i | −0.145871 | − | 1.94652i | −0.290147 | − | 0.956982i | \(-0.593704\pi\) |
0.144275 | − | 0.989538i | \(-0.453915\pi\) | |||||||
\(648\) | 6.28211 | − | 1.28668i | 0.246785 | − | 0.0505454i | ||||
\(649\) | −11.8129 | − | 3.64381i | −0.463698 | − | 0.143032i | ||||
\(650\) | −4.38746 | + | 0.661303i | −0.172090 | + | 0.0259384i | ||||
\(651\) | 10.5868 | + | 3.87831i | 0.414930 | + | 0.152003i | ||||
\(652\) | 6.39286 | + | 0.963569i | 0.250364 | + | 0.0377363i | ||||
\(653\) | 19.7158 | + | 9.49463i | 0.771539 | + | 0.371554i | 0.777869 | − | 0.628426i | \(-0.216301\pi\) |
−0.00633008 | + | 0.999980i | \(0.502015\pi\) | |||||||
\(654\) | 0.0675156 | − | 2.77852i | 0.00264007 | − | 0.108649i | ||||
\(655\) | 7.82462 | 0.305733 | ||||||||
\(656\) | 9.71478 | − | 16.8265i | 0.379298 | − | 0.656964i | ||||
\(657\) | −6.89623 | + | 24.6313i | −0.269047 | + | 0.960960i | ||||
\(658\) | 0.602837 | + | 2.16523i | 0.0235010 | + | 0.0844093i | ||||
\(659\) | 7.61193 | + | 7.06284i | 0.296519 | + | 0.275129i | 0.814376 | − | 0.580338i | \(-0.197080\pi\) |
−0.517857 | + | 0.855467i | \(0.673270\pi\) | |||||||
\(660\) | 4.59530 | − | 8.97759i | 0.178872 | − | 0.349452i | ||||
\(661\) | −0.143131 | − | 0.364693i | −0.00556717 | − | 0.0141849i | 0.928063 | − | 0.372423i | \(-0.121473\pi\) |
−0.933630 | + | 0.358238i | \(0.883378\pi\) | |||||||
\(662\) | 1.15229 | + | 2.93598i | 0.0447850 | + | 0.114110i | ||||
\(663\) | −4.49937 | + | 8.79018i | −0.174741 | + | 0.341382i | ||||
\(664\) | 8.28529 | + | 7.68763i | 0.321532 | + | 0.298338i | ||||
\(665\) | 2.69020 | − | 3.72041i | 0.104322 | − | 0.144271i | ||||
\(666\) | 1.14336 | + | 1.16923i | 0.0443042 | + | 0.0453068i | ||||
\(667\) | −13.1830 | + | 22.8337i | −0.510449 | + | 0.884124i | ||||
\(668\) | 3.38365 | 0.130917 | ||||||||
\(669\) | −1.11794 | + | 46.0075i | −0.0432221 | + | 1.77875i | ||||
\(670\) | 0.449636 | + | 0.216533i | 0.0173709 | + | 0.00836541i | ||||
\(671\) | 49.7978 | + | 7.50581i | 1.92242 | + | 0.289759i | ||||
\(672\) | 1.22159 | − | 9.58594i | 0.0471239 | − | 0.369786i | ||||
\(673\) | −24.7167 | + | 3.72544i | −0.952757 | + | 0.143605i | −0.606985 | − | 0.794713i | \(-0.707621\pi\) |
−0.345772 | + | 0.938318i | \(0.612383\pi\) | |||||||
\(674\) | 0.0113737 | + | 0.00350833i | 0.000438100 | + | 0.000135136i | ||||
\(675\) | −1.80326 | + | 24.6980i | −0.0694074 | + | 0.950625i | ||||
\(676\) | −2.04108 | − | 27.2363i | −0.0785030 | − | 1.04755i | ||||
\(677\) | −32.5151 | − | 4.90086i | −1.24966 | − | 0.188356i | −0.509312 | − | 0.860582i | \(-0.670100\pi\) |
−0.740346 | + | 0.672227i | \(0.765338\pi\) | |||||||
\(678\) | 3.76652 | − | 0.763924i | 0.144652 | − | 0.0293383i | ||||
\(679\) | −3.39741 | + | 1.83814i | −0.130381 | + | 0.0705415i | ||||
\(680\) | −0.0283365 | − | 0.378125i | −0.00108666 | − | 0.0145004i | ||||
\(681\) | −26.1451 | − | 29.5879i | −1.00188 | − | 1.13381i | ||||
\(682\) | 0.601117 | − | 2.63366i | 0.0230179 | − | 0.100848i | ||||
\(683\) | −18.5302 | − | 12.6337i | −0.709039 | − | 0.483415i | 0.154310 | − | 0.988023i | \(-0.450685\pi\) |
−0.863349 | + | 0.504608i | \(0.831637\pi\) | |||||||
\(684\) | 3.70218 | + | 20.8403i | 0.141556 | + | 0.796850i | ||||
\(685\) | 1.90733 | 0.0728754 | ||||||||
\(686\) | 2.98449 | + | 1.46743i | 0.113948 | + | 0.0560269i | ||||
\(687\) | 5.02402 | + | 17.8128i | 0.191678 | + | 0.679600i | ||||
\(688\) | 25.9793 | + | 32.5771i | 0.990453 | + | 1.24199i | ||||
\(689\) | 0.498994 | − | 6.65861i | 0.0190102 | − | 0.253673i | ||||
\(690\) | 0.270982 | + | 0.418974i | 0.0103161 | + | 0.0159501i | ||||
\(691\) | 36.4793 | + | 24.8712i | 1.38774 | + | 0.946144i | 0.999700 | + | 0.0245002i | \(0.00779943\pi\) |
0.388038 | + | 0.921643i | \(0.373153\pi\) | |||||||
\(692\) | 1.66505 | + | 0.801848i | 0.0632959 | + | 0.0304817i | ||||
\(693\) | −48.5306 | − | 0.0702386i | −1.84353 | − | 0.00266814i | ||||
\(694\) | 1.22979 | − | 0.592234i | 0.0466820 | − | 0.0224809i | ||||
\(695\) | 5.01750 | + | 0.756266i | 0.190325 | + | 0.0286868i | ||||
\(696\) | −7.52350 | − | 6.30478i | −0.285178 | − | 0.238982i | ||||
\(697\) | −5.54868 | + | 0.836329i | −0.210171 | + | 0.0316782i | ||||
\(698\) | −0.792987 | − | 3.47430i | −0.0300150 | − | 0.131504i | ||||
\(699\) | 12.6657 | + | 28.0223i | 0.479061 | + | 1.05990i | ||||
\(700\) | 22.8369 | + | 9.69993i | 0.863153 | + | 0.366623i | ||||
\(701\) | 30.1161 | − | 37.7644i | 1.13747 | − | 1.42634i | 0.248345 | − | 0.968672i | \(-0.420113\pi\) |
0.889123 | − | 0.457668i | \(-0.151315\pi\) | |||||||
\(702\) | 4.78504 | + | 0.711852i | 0.180600 | + | 0.0268671i | ||||
\(703\) | −7.97889 | + | 7.40332i | −0.300929 | + | 0.279222i | ||||
\(704\) | 44.2457 | 1.66757 | ||||||||
\(705\) | −2.76704 | + | 2.84054i | −0.104213 | + | 0.106981i | ||||
\(706\) | −2.14222 | + | 1.98769i | −0.0806234 | + | 0.0748076i | ||||
\(707\) | −48.1856 | − | 4.95436i | −1.81221 | − | 0.186328i | ||||
\(708\) | −3.74236 | − | 5.78619i | −0.140647 | − | 0.217458i | ||||
\(709\) | 19.3231 | − | 5.96038i | 0.725693 | − | 0.223847i | 0.0901676 | − | 0.995927i | \(-0.471260\pi\) |
0.635525 | + | 0.772080i | \(0.280784\pi\) | |||||||
\(710\) | 0.473212 | + | 0.0713253i | 0.0177593 | + | 0.00267679i | ||||
\(711\) | −17.7830 | + | 7.52294i | −0.666914 | + | 0.282132i | ||||
\(712\) | −4.13870 | − | 3.84015i | −0.155104 | − | 0.143916i | ||||
\(713\) | −5.97852 | − | 5.54726i | −0.223898 | − | 0.207747i | ||||
\(714\) | −0.773130 | + | 0.470237i | −0.0289337 | + | 0.0175982i | ||||
\(715\) | 11.2463 | − | 10.4350i | 0.420587 | − | 0.390248i | ||||
\(716\) | −8.02358 | −0.299855 | ||||||||
\(717\) | 2.69048 | − | 2.76194i | 0.100478 | − | 0.103147i | ||||
\(718\) | −1.41100 | − | 6.18201i | −0.0526582 | − | 0.230711i | ||||
\(719\) | −17.7518 | + | 12.1029i | −0.662029 | + | 0.451364i | −0.847151 | − | 0.531352i | \(-0.821684\pi\) |
0.185122 | + | 0.982715i | \(0.440732\pi\) | |||||||
\(720\) | 5.09132 | − | 2.15384i | 0.189742 | − | 0.0802688i | ||||
\(721\) | −26.5190 | − | 2.72664i | −0.987620 | − | 0.101545i | ||||
\(722\) | −1.09090 | + | 0.164427i | −0.0405992 | + | 0.00611935i | ||||
\(723\) | 10.2298 | − | 5.57936i | 0.380452 | − | 0.207498i | ||||
\(724\) | 23.0457 | − | 3.47358i | 0.856486 | − | 0.129095i | ||||
\(725\) | 31.3203 | − | 21.3538i | 1.16321 | − | 0.793061i | ||||
\(726\) | 1.02561 | + | 8.14203i | 0.0380641 | + | 0.302179i | ||||
\(727\) | −1.99333 | + | 26.5992i | −0.0739286 | + | 0.986509i | 0.829705 | + | 0.558202i | \(0.188509\pi\) |
−0.903634 | + | 0.428306i | \(0.859110\pi\) | |||||||
\(728\) | 4.48247 | − | 8.68499i | 0.166131 | − | 0.321887i | ||||
\(729\) | 9.76779 | − | 25.1712i | 0.361770 | − | 0.932267i | ||||
\(730\) | 0.0553738 | − | 0.738911i | 0.00204947 | − | 0.0273483i | ||||
\(731\) | 2.67778 | − | 11.7321i | 0.0990412 | − | 0.433928i | ||||
\(732\) | 18.5883 | + | 21.0360i | 0.687043 | + | 0.777513i | ||||
\(733\) | 6.71493 | + | 8.42026i | 0.248022 | + | 0.311009i | 0.890222 | − | 0.455528i | \(-0.150549\pi\) |
−0.642200 | + | 0.766537i | \(0.721978\pi\) | |||||||
\(734\) | 1.26990 | + | 2.19954i | 0.0468730 | + | 0.0811864i | ||||
\(735\) | 0.410340 | + | 5.85338i | 0.0151356 | + | 0.215905i | ||||
\(736\) | −3.49504 | + | 6.05358i | −0.128829 | + | 0.223138i | ||||
\(737\) | 34.7188 | − | 5.23302i | 1.27888 | − | 0.192761i | ||||
\(738\) | 1.25726 | + | 2.44468i | 0.0462804 | + | 0.0899898i | ||||
\(739\) | 23.0859 | − | 7.12107i | 0.849230 | − | 0.261953i | 0.160558 | − | 0.987026i | \(-0.448671\pi\) |
0.688671 | + | 0.725074i | \(0.258194\pi\) | |||||||
\(740\) | 2.38856 | + | 1.62850i | 0.0878054 | + | 0.0598647i | ||||
\(741\) | −5.57095 | + | 31.7129i | −0.204654 | + | 1.16500i | ||||
\(742\) | 0.358541 | − | 0.495843i | 0.0131624 | − | 0.0182030i | ||||
\(743\) | −13.3610 | − | 9.10934i | −0.490166 | − | 0.334189i | 0.292884 | − | 0.956148i | \(-0.405385\pi\) |
−0.783050 | + | 0.621958i | \(0.786337\pi\) | |||||||
\(744\) | 2.41918 | − | 1.83489i | 0.0886913 | − | 0.0672703i | ||||
\(745\) | −6.90141 | − | 3.32354i | −0.252848 | − | 0.121765i | ||||
\(746\) | 1.75997 | − | 4.48432i | 0.0644369 | − | 0.164183i | ||||
\(747\) | 46.1025 | − | 11.8019i | 1.68680 | − | 0.431809i | ||||
\(748\) | −8.24893 | − | 10.3438i | −0.301611 | − | 0.378208i | ||||
\(749\) | 7.62312 | − | 42.5544i | 0.278543 | − | 1.55490i | ||||
\(750\) | −0.183719 | − | 1.45849i | −0.00670847 | − | 0.0532565i | ||||
\(751\) | −37.6366 | − | 18.1248i | −1.37338 | − | 0.661384i | −0.405802 | − | 0.913961i | \(-0.633008\pi\) |
−0.967577 | + | 0.252577i | \(0.918722\pi\) | |||||||
\(752\) | −17.2121 | − | 5.30924i | −0.627662 | − | 0.193608i | ||||
\(753\) | −11.6877 | − | 41.4390i | −0.425923 | − | 1.51012i | ||||
\(754\) | −3.70266 | − | 6.41320i | −0.134843 | − | 0.233555i | ||||
\(755\) | 1.21281 | + | 5.31365i | 0.0441385 | + | 0.193384i | ||||
\(756\) | −20.7091 | − | 17.4055i | −0.753182 | − | 0.633033i | ||||
\(757\) | 2.83072 | − | 12.4022i | 0.102884 | − | 0.450766i | −0.897076 | − | 0.441876i | \(-0.854313\pi\) |
0.999960 | − | 0.00888984i | \(-0.00282976\pi\) | |||||||
\(758\) | 0.281564 | − | 0.0868509i | 0.0102269 | − | 0.00315457i | ||||
\(759\) | 32.3569 | + | 13.6152i | 1.17448 | + | 0.494201i | ||||
\(760\) | −0.451707 | − | 1.15093i | −0.0163852 | − | 0.0417487i | ||||
\(761\) | 5.79938 | − | 25.4087i | 0.210227 | − | 0.921066i | −0.754185 | − | 0.656662i | \(-0.771968\pi\) |
0.964412 | − | 0.264404i | \(-0.0851751\pi\) | |||||||
\(762\) | −0.520335 | − | 0.804508i | −0.0188498 | − | 0.0291443i | ||||
\(763\) | −18.8848 | + | 14.2239i | −0.683676 | + | 0.514939i | ||||
\(764\) | −3.36797 | − | 14.7560i | −0.121849 | − | 0.533855i | ||||
\(765\) | −1.40311 | − | 0.761770i | −0.0507296 | − | 0.0275419i | ||||
\(766\) | −1.60596 | − | 2.78161i | −0.0580258 | − | 0.100504i | ||||
\(767\) | −2.33257 | − | 10.2197i | −0.0842242 | − | 0.369011i | ||||
\(768\) | 17.8981 | + | 14.9988i | 0.645844 | + | 0.541224i | ||||
\(769\) | −32.9066 | − | 4.95988i | −1.18664 | − | 0.178858i | −0.474090 | − | 0.880476i | \(-0.657223\pi\) |
−0.712553 | + | 0.701619i | \(0.752461\pi\) | |||||||
\(770\) | 1.37876 | − | 0.274814i | 0.0496872 | − | 0.00990361i | ||||
\(771\) | −13.7167 | + | 19.1045i | −0.493994 | + | 0.688031i | ||||
\(772\) | 31.2277 | − | 28.9751i | 1.12391 | − | 1.04284i | ||||
\(773\) | −16.8827 | + | 43.0164i | −0.607229 | + | 1.54719i | 0.214145 | + | 0.976802i | \(0.431304\pi\) |
−0.821373 | + | 0.570391i | \(0.806792\pi\) | |||||||
\(774\) | −5.86537 | + | 0.594490i | −0.210826 | + | 0.0213685i | ||||
\(775\) | 4.28384 | + | 10.9150i | 0.153880 | + | 0.392080i | ||||
\(776\) | −0.0777382 | + | 1.03734i | −0.00279064 | + | 0.0372385i | ||||
\(777\) | 1.75853 | − | 13.7994i | 0.0630871 | − | 0.495050i | ||||
\(778\) | 0.105784 | + | 1.41159i | 0.00379254 | + | 0.0506079i | ||||
\(779\) | −16.4849 | + | 7.93869i | −0.590632 | + | 0.284433i | ||||
\(780\) | 8.54094 | − | 0.431731i | 0.305815 | − | 0.0154585i | ||||
\(781\) | 30.3344 | − | 14.6083i | 1.08545 | − | 0.522725i | ||||
\(782\) | 0.647253 | − | 0.0975577i | 0.0231457 | − | 0.00348866i | ||||
\(783\) | −39.4707 | + | 12.2580i | −1.41057 | + | 0.438065i | ||||
\(784\) | −22.8181 | + | 13.7736i | −0.814932 | + | 0.491915i | ||||
\(785\) | 1.41892 | − | 2.45765i | 0.0506435 | − | 0.0877172i | ||||
\(786\) | −5.00399 | − | 0.497496i | −0.178486 | − | 0.0177451i | ||||
\(787\) | −0.518309 | + | 6.91635i | −0.0184757 | + | 0.246541i | 0.980317 | + | 0.197428i | \(0.0632587\pi\) |
−0.998793 | + | 0.0491137i | \(0.984360\pi\) | |||||||
\(788\) | 8.15914 | + | 7.57058i | 0.290657 | + | 0.269691i | ||||
\(789\) | −30.4575 | − | 34.4682i | −1.08432 | − | 1.22710i | ||||
\(790\) | 0.462162 | − | 0.315096i | 0.0164430 | − | 0.0112106i | ||||
\(791\) | −24.9861 | − | 21.0822i | −0.888405 | − | 0.749595i | ||||
\(792\) | −7.07668 | + | 10.9876i | −0.251459 | + | 0.390428i | ||||
\(793\) | 15.6011 | + | 39.7510i | 0.554013 | + | 1.41160i | ||||
\(794\) | 2.03823 | + | 0.981559i | 0.0723340 | + | 0.0348342i | ||||
\(795\) | 1.07429 | + | 0.106806i | 0.0381012 | + | 0.00378801i | ||||
\(796\) | 0.194933 | + | 0.854059i | 0.00690923 | + | 0.0302713i | ||||
\(797\) | 8.07796 | − | 20.5823i | 0.286136 | − | 0.729062i | −0.713462 | − | 0.700694i | \(-0.752874\pi\) |
0.999598 | − | 0.0283681i | \(-0.00903105\pi\) | |||||||
\(798\) | −1.95698 | + | 2.20823i | −0.0692765 | + | 0.0781705i | ||||
\(799\) | 1.90053 | + | 4.84247i | 0.0672359 | + | 0.171314i | ||||
\(800\) | 8.30353 | − | 5.66125i | 0.293574 | − | 0.200155i | ||||
\(801\) | −23.0293 | + | 5.89533i | −0.813701 | + | 0.208301i | ||||
\(802\) | 2.92651 | + | 5.06887i | 0.103339 | + | 0.178988i | ||||
\(803\) | −26.0657 | − | 45.1472i | −0.919840 | − | 1.59321i | ||||
\(804\) | 16.7068 | + | 10.1947i | 0.589205 | + | 0.359539i | ||||
\(805\) | 1.36276 | − | 4.01973i | 0.0480309 | − | 0.141677i | ||||
\(806\) | 2.18888 | − | 0.675179i | 0.0770999 | − | 0.0237822i | ||||
\(807\) | 5.22234 | + | 8.07443i | 0.183835 | + | 0.284234i | ||||
\(808\) | −8.13332 | + | 10.1989i | −0.286129 | + | 0.358795i | ||||
\(809\) | 27.1552 | + | 4.09299i | 0.954725 | + | 0.143902i | 0.607887 | − | 0.794023i | \(-0.292017\pi\) |
0.346838 | + | 0.937925i | \(0.387255\pi\) | |||||||
\(810\) | −0.133852 | + | 0.770624i | −0.00470308 | + | 0.0270770i | ||||
\(811\) | −5.64216 | + | 24.7199i | −0.198123 | + | 0.868034i | 0.773930 | + | 0.633271i | \(0.218288\pi\) |
−0.972053 | + | 0.234762i | \(0.924569\pi\) | |||||||
\(812\) | −1.14519 | + | 41.3943i | −0.0401884 | + | 1.45265i | ||||
\(813\) | −1.19514 | + | 49.1845i | −0.0419155 | + | 1.72498i | ||||
\(814\) | −3.33300 | −0.116822 | ||||||||
\(815\) | −0.795034 | + | 1.37704i | −0.0278488 | + | 0.0482356i | ||||
\(816\) | 0.176166 | − | 7.24988i | 0.00616704 | − | 0.253797i | ||||
\(817\) | −2.93229 | − | 39.1287i | −0.102588 | − | 1.36894i | ||||
\(818\) | −4.19685 | + | 5.26269i | −0.146740 | + | 0.184006i | ||||
\(819\) | −20.5242 | − | 35.6680i | −0.717172 | − | 1.24634i | ||||
\(820\) | 3.02990 | + | 3.79938i | 0.105809 | + | 0.132680i | ||||
\(821\) | −36.4941 | + | 33.8615i | −1.27365 | + | 1.18178i | −0.299948 | + | 0.953956i | \(0.596969\pi\) |
−0.973703 | + | 0.227820i | \(0.926840\pi\) | |||||||
\(822\) | −1.21977 | − | 0.121270i | −0.0425445 | − | 0.00422977i | ||||
\(823\) | 32.0267 | − | 21.8354i | 1.11638 | − | 0.761135i | 0.142861 | − | 0.989743i | \(-0.454370\pi\) |
0.973519 | + | 0.228608i | \(0.0734174\pi\) | |||||||
\(824\) | −4.47618 | + | 5.61295i | −0.155935 | + | 0.195536i | ||||
\(825\) | −33.4200 | − | 37.8207i | −1.16354 | − | 1.31675i | ||||
\(826\) | 0.308416 | − | 0.909734i | 0.0107312 | − | 0.0316537i | ||||
\(827\) | 35.3742 | + | 17.0353i | 1.23008 | + | 0.592376i | 0.932102 | − | 0.362197i | \(-0.117973\pi\) |
0.297979 | + | 0.954572i | \(0.403687\pi\) | |||||||
\(828\) | 8.94946 | + | 17.4018i | 0.311015 | + | 0.604753i | ||||
\(829\) | −22.9090 | + | 7.06648i | −0.795661 | + | 0.245429i | −0.665827 | − | 0.746107i | \(-0.731921\pi\) |
−0.129835 | + | 0.991536i | \(0.541445\pi\) | |||||||
\(830\) | −1.24208 | + | 0.598156i | −0.0431134 | + | 0.0207623i | ||||
\(831\) | −4.32061 | + | 6.01771i | −0.149880 | + | 0.208752i | ||||
\(832\) | 18.7591 | + | 32.4916i | 0.650353 | + | 1.12645i | ||||
\(833\) | 7.21883 | + | 2.67208i | 0.250118 | + | 0.0925823i | ||||
\(834\) | −3.16070 | − | 0.802663i | −0.109446 | − | 0.0277940i | ||||
\(835\) | −0.304037 | + | 0.774673i | −0.0105216 | + | 0.0268087i | ||||
\(836\) | −35.6436 | − | 24.3014i | −1.23276 | − | 0.840482i | ||||
\(837\) | −0.979818 | − | 12.7469i | −0.0338675 | − | 0.440596i | ||||
\(838\) | 0.155088 | − | 2.06951i | 0.00535744 | − | 0.0714901i | ||||
\(839\) | −23.3526 | + | 15.9216i | −0.806222 | + | 0.549673i | −0.894837 | − | 0.446393i | \(-0.852708\pi\) |
0.0886147 | + | 0.996066i | \(0.471756\pi\) | |||||||
\(840\) | 1.38618 | + | 0.758625i | 0.0478276 | + | 0.0261750i | ||||
\(841\) | 28.3123 | + | 19.3030i | 0.976285 | + | 0.665620i | ||||
\(842\) | −2.72729 | + | 3.41991i | −0.0939885 | + | 0.117858i | ||||
\(843\) | −11.6080 | − | 9.72768i | −0.399802 | − | 0.335039i | ||||
\(844\) | −1.29216 | − | 1.62031i | −0.0444778 | − | 0.0557735i | ||||
\(845\) | 6.41904 | + | 1.98001i | 0.220822 | + | 0.0681144i | ||||
\(846\) | 1.95018 | − | 1.64065i | 0.0670486 | − | 0.0564066i | ||||
\(847\) | 48.8777 | − | 49.8394i | 1.67946 | − | 1.71250i | ||||
\(848\) | 1.79155 | + | 4.56480i | 0.0615222 | + | 0.156756i | ||||
\(849\) | 25.7977 | + | 21.6188i | 0.885375 | + | 0.741954i | ||||
\(850\) | −0.899272 | − | 0.277389i | −0.0308448 | − | 0.00951435i | ||||
\(851\) | −5.03126 | + | 8.71440i | −0.172469 | + | 0.298726i | ||||
\(852\) | 18.1903 | + | 4.61945i | 0.623190 | + | 0.158260i | ||||
\(853\) | −22.5910 | − | 6.96840i | −0.773501 | − | 0.238593i | −0.117216 | − | 0.993106i | \(-0.537397\pi\) |
−0.656285 | + | 0.754513i | \(0.727873\pi\) | |||||||
\(854\) | −0.690021 | + | 3.85189i | −0.0236120 | + | 0.131809i | ||||
\(855\) | −5.10397 | − | 1.02500i | −0.174552 | − | 0.0350544i | ||||
\(856\) | −8.53445 | − | 7.91881i | −0.291701 | − | 0.270659i | ||||
\(857\) | −12.2994 | + | 15.4230i | −0.420141 | + | 0.526840i | −0.946189 | − | 0.323615i | \(-0.895102\pi\) |
0.526048 | + | 0.850455i | \(0.323673\pi\) | |||||||
\(858\) | −7.85568 | + | 5.95835i | −0.268189 | + | 0.203415i | ||||
\(859\) | 1.08188 | − | 4.74001i | 0.0369131 | − | 0.161727i | −0.953112 | − | 0.302618i | \(-0.902139\pi\) |
0.990025 | + | 0.140891i | \(0.0449966\pi\) | |||||||
\(860\) | −9.95862 | + | 3.07183i | −0.339586 | + | 0.104748i | ||||
\(861\) | 9.66214 | − | 21.2949i | 0.329285 | − | 0.725728i | ||||
\(862\) | −1.00090 | − | 0.308737i | −0.0340908 | − | 0.0105156i | ||||
\(863\) | −6.40041 | + | 11.0858i | −0.217872 | + | 0.377366i | −0.954157 | − | 0.299306i | \(-0.903245\pi\) |
0.736285 | + | 0.676672i | \(0.236578\pi\) | |||||||
\(864\) | −10.4643 | + | 3.24979i | −0.356003 | + | 0.110560i | ||||
\(865\) | −0.333193 | + | 0.309158i | −0.0113289 | + | 0.0105117i | ||||
\(866\) | 0.0128558 | + | 0.171549i | 0.000436859 | + | 0.00582948i | ||||
\(867\) | 21.7914 | − | 16.5282i | 0.740074 | − | 0.561329i | ||||
\(868\) | −12.4044 | − | 3.19457i | −0.421033 | − | 0.108431i | ||||
\(869\) | 14.3773 | − | 36.6328i | 0.487717 | − | 1.24268i | ||||
\(870\) | 1.05113 | − | 0.573284i | 0.0356365 | − | 0.0194361i | ||||
\(871\) | 18.5627 | + | 23.2769i | 0.628974 | + | 0.788708i | ||||
\(872\) | 0.475796 | + | 6.34906i | 0.0161125 | + | 0.215006i | ||||
\(873\) | 3.49481 | + | 2.64020i | 0.118282 | + | 0.0893571i | ||||
\(874\) | 1.92296 | − | 0.926048i | 0.0650450 | − | 0.0313240i | ||||
\(875\) | −8.75551 | + | 8.92778i | −0.295990 | + | 0.301814i | ||||
\(876\) | 5.02781 | − | 28.6211i | 0.169874 | − | 0.967016i | ||||
\(877\) | 9.88642 | − | 4.76105i | 0.333841 | − | 0.160769i | −0.259452 | − | 0.965756i | \(-0.583542\pi\) |
0.593293 | + | 0.804987i | \(0.297828\pi\) | |||||||
\(878\) | 4.65204 | + | 4.31646i | 0.156999 | + | 0.145674i | ||||
\(879\) | 2.82875 | − | 8.43720i | 0.0954114 | − | 0.284580i | ||||
\(880\) | −4.11627 | + | 10.4881i | −0.138760 | + | 0.353553i | ||||
\(881\) | −2.25809 | −0.0760769 | −0.0380385 | − | 0.999276i | \(-0.512111\pi\) | ||||
−0.0380385 | + | 0.999276i | \(0.512111\pi\) | |||||||
\(882\) | 0.109743 | − | 3.76944i | 0.00369525 | − | 0.126924i | ||||
\(883\) | −4.96221 | −0.166992 | −0.0834958 | − | 0.996508i | \(-0.526609\pi\) | ||||
−0.0834958 | + | 0.996508i | \(0.526609\pi\) | |||||||
\(884\) | 4.09861 | − | 10.4431i | 0.137851 | − | 0.351239i | ||||
\(885\) | 1.66099 | − | 0.336882i | 0.0558337 | − | 0.0113242i | ||||
\(886\) | 3.04827 | + | 2.82838i | 0.102408 | + | 0.0950212i | ||||
\(887\) | −18.5958 | + | 8.95528i | −0.624387 | + | 0.300689i | −0.719197 | − | 0.694807i | \(-0.755490\pi\) |
0.0948099 | + | 0.995495i | \(0.469776\pi\) | |||||||
\(888\) | −2.87132 | − | 2.40620i | −0.0963551 | − | 0.0807467i | ||||
\(889\) | −2.61675 | + | 7.71862i | −0.0877629 | + | 0.258874i | ||||
\(890\) | 0.620451 | − | 0.298793i | 0.0207976 | − | 0.0100156i | ||||
\(891\) | 22.7607 | + | 50.1009i | 0.762511 | + | 1.67844i | ||||
\(892\) | −3.90717 | − | 52.1375i | −0.130822 | − | 1.74569i | ||||
\(893\) | 10.5758 | + | 13.2616i | 0.353906 | + | 0.443784i | ||||
\(894\) | 4.20227 | + | 2.56427i | 0.140545 | + | 0.0857619i | ||||
\(895\) | 0.720956 | − | 1.83697i | 0.0240989 | − | 0.0614030i | ||||
\(896\) | −0.403664 | + | 14.5909i | −0.0134855 | + | 0.487448i | ||||
\(897\) | 3.72021 | + | 29.5336i | 0.124214 | + | 0.986099i | ||||
\(898\) | 0.366361 | + | 4.88875i | 0.0122256 | + | 0.163140i | ||||
\(899\) | −14.3457 | + | 13.3109i | −0.478456 | + | 0.443942i | ||||
\(900\) | −0.737329 | − | 28.1240i | −0.0245776 | − | 0.937466i | ||||
\(901\) | 0.708119 | − | 1.22650i | 0.0235908 | − | 0.0408605i | ||||
\(902\) | −5.35386 | − | 1.65145i | −0.178264 | − | 0.0549872i | ||||
\(903\) | 34.9408 | + | 35.9729i | 1.16276 | + | 1.19710i | ||||
\(904\) | −8.41283 | + | 2.59501i | −0.279806 | + | 0.0863089i | ||||
\(905\) | −1.27550 | + | 5.58833i | −0.0423991 | + | 0.185762i | ||||
\(906\) | −0.437766 | − | 3.47529i | −0.0145438 | − | 0.115459i | ||||
\(907\) | −21.4558 | + | 26.9047i | −0.712428 | + | 0.893356i | −0.997883 | − | 0.0650359i | \(-0.979284\pi\) |
0.285455 | + | 0.958392i | \(0.407855\pi\) | |||||||
\(908\) | 32.8828 | + | 30.5108i | 1.09126 | + | 1.01254i | ||||
\(909\) | 17.5595 | + | 52.0429i | 0.582413 | + | 1.72615i | ||||
\(910\) | 0.786369 | + | 0.895974i | 0.0260679 | + | 0.0297012i | ||||
\(911\) | −35.2343 | − | 10.8683i | −1.16736 | − | 0.360084i | −0.350304 | − | 0.936636i | \(-0.613922\pi\) |
−0.817061 | + | 0.576552i | \(0.804398\pi\) | |||||||
\(912\) | −6.41898 | − | 22.7586i | −0.212554 | − | 0.753613i | ||||
\(913\) | −48.4956 | + | 83.9969i | −1.60497 | + | 2.77989i | ||||
\(914\) | −3.57148 | − | 1.10166i | −0.118134 | − | 0.0364395i | ||||
\(915\) | −6.48635 | + | 2.36553i | −0.214432 | + | 0.0782021i | ||||
\(916\) | −7.68178 | − | 19.5728i | −0.253813 | − | 0.646705i | ||||
\(917\) | 23.1099 | + | 35.9960i | 0.763156 | + | 1.18869i | ||||
\(918\) | 0.848882 | + | 0.576377i | 0.0280173 | + | 0.0190233i | ||||
\(919\) | −29.8775 | − | 9.21598i | −0.985566 | − | 0.304007i | −0.240245 | − | 0.970712i | \(-0.577228\pi\) |
−0.745321 | + | 0.666705i | \(0.767704\pi\) | |||||||
\(920\) | −0.712668 | − | 0.893658i | −0.0234960 | − | 0.0294630i | ||||
\(921\) | −4.07262 | + | 23.1836i | −0.134197 | + | 0.763925i | ||||
\(922\) | −0.865880 | + | 1.08578i | −0.0285162 | + | 0.0357582i | ||||
\(923\) | 23.5885 | + | 16.0824i | 0.776426 | + | 0.529358i | ||||
\(924\) | 54.8722 | − | 5.37520i | 1.80516 | − | 0.176831i | ||||
\(925\) | 11.9533 | − | 8.14961i | 0.393022 | − | 0.267958i | ||||
\(926\) | 0.188168 | − | 2.51092i | 0.00618357 | − | 0.0825140i | ||||
\(927\) | 9.66390 | + | 28.6419i | 0.317404 | + | 0.940722i | ||||
\(928\) | 13.8585 | + | 9.44855i | 0.454927 | + | 0.310164i | ||||
\(929\) | −6.10956 | + | 15.5669i | −0.200448 | + | 0.510734i | −0.995385 | − | 0.0959581i | \(-0.969409\pi\) |
0.794937 | + | 0.606692i | \(0.207504\pi\) | |||||||
\(930\) | 0.100534 | + | 0.356446i | 0.00329665 | + | 0.0116883i | ||||
\(931\) | 25.0607 | + | 1.38769i | 0.821331 | + | 0.0454798i | ||||
\(932\) | −17.4683 | − | 30.2559i | −0.572192 | − | 0.991066i | ||||
\(933\) | −17.1154 | − | 37.8670i | −0.560332 | − | 1.23971i | ||||
\(934\) | −0.0933004 | + | 0.0449311i | −0.00305288 | + | 0.00147019i | ||||
\(935\) | 3.10938 | − | 0.959118i | 0.101688 | − | 0.0313665i | ||||
\(936\) | −11.0690 | − | 0.538254i | −0.361803 | − | 0.0175934i | ||||
\(937\) | 7.05976 | + | 3.39980i | 0.230632 | + | 0.111067i | 0.545631 | − | 0.838025i | \(-0.316290\pi\) |
−0.314999 | + | 0.949092i | \(0.602004\pi\) | |||||||
\(938\) | 0.331865 | + | 2.70801i | 0.0108358 | + | 0.0884197i | ||||
\(939\) | 0.559832 | − | 1.66979i | 0.0182694 | − | 0.0544914i | ||||
\(940\) | 2.80891 | − | 3.52226i | 0.0916165 | − | 0.114883i | ||||
\(941\) | −10.3678 | + | 7.06867i | −0.337982 | + | 0.230432i | −0.720402 | − | 0.693556i | \(-0.756043\pi\) |
0.382421 | + | 0.923988i | \(0.375090\pi\) | |||||||
\(942\) | −1.06369 | + | 1.48150i | −0.0346568 | + | 0.0482697i | ||||
\(943\) | −12.3997 | + | 11.5052i | −0.403788 | + | 0.374661i | ||||
\(944\) | 4.79981 | + | 6.01878i | 0.156221 | + | 0.195895i | ||||
\(945\) | 5.84573 | − | 3.17729i | 0.190162 | − | 0.103357i | ||||
\(946\) | 7.49150 | − | 9.39404i | 0.243570 | − | 0.305427i | ||||
\(947\) | −2.25097 | − | 30.0371i | −0.0731468 | − | 0.976076i | −0.906191 | − | 0.422869i | \(-0.861023\pi\) |
0.833044 | − | 0.553207i | \(-0.186596\pi\) | |||||||
\(948\) | 19.2583 | − | 10.5035i | 0.625481 | − | 0.341137i | ||||
\(949\) | 22.1024 | − | 38.2825i | 0.717475 | − | 1.24270i | ||||
\(950\) | −3.06856 | −0.0995574 | ||||||||
\(951\) | −13.3470 | − | 8.14448i | −0.432807 | − | 0.264103i | ||||
\(952\) | 1.65581 | − | 1.24714i | 0.0536652 | − | 0.0404202i | ||||
\(953\) | −6.45253 | + | 28.2704i | −0.209018 | + | 0.915768i | 0.756204 | + | 0.654336i | \(0.227052\pi\) |
−0.965222 | + | 0.261432i | \(0.915805\pi\) | |||||||
\(954\) | −0.680239 | − | 0.136609i | −0.0220235 | − | 0.00442287i | ||||
\(955\) | 3.68096 | + | 0.554816i | 0.119113 | + | 0.0179534i | ||||
\(956\) | −2.73118 | + | 3.42480i | −0.0883328 | + | 0.110766i | ||||
\(957\) | 38.3811 | − | 74.9830i | 1.24068 | − | 2.42386i | ||||
\(958\) | 6.68300 | − | 2.06143i | 0.215918 | − | 0.0666018i | ||||
\(959\) | 5.63328 | + | 8.77439i | 0.181908 | + | 0.283340i | ||||
\(960\) | −5.32540 | + | 2.90447i | −0.171876 | + | 0.0937413i | ||||
\(961\) | 12.4733 | + | 21.6044i | 0.402364 | + | 0.696915i | ||||
\(962\) | −1.41311 | − | 2.44757i | −0.0455604 | − | 0.0789129i | ||||
\(963\) | −47.4889 | + | 12.1568i | −1.53031 | + | 0.391748i | ||||
\(964\) | −10.9379 | + | 7.45730i | −0.352284 | + | 0.240183i | ||||
\(965\) | 3.82777 | + | 9.75301i | 0.123220 | + | 0.313960i | ||||
\(966\) | −1.12709 | + | 2.48405i | −0.0362634 | + | 0.0799229i | ||||
\(967\) | 7.43372 | − | 18.9408i | 0.239052 | − | 0.609095i | −0.760120 | − | 0.649783i | \(-0.774860\pi\) |
0.999172 | + | 0.0406878i | \(0.0129549\pi\) | |||||||
\(968\) | −4.18318 | − | 18.3277i | −0.134452 | − | 0.589075i | ||||
\(969\) | −3.98298 | + | 5.54746i | −0.127952 | + | 0.178210i | ||||
\(970\) | −0.114319 | − | 0.0550529i | −0.00367055 | − | 0.00176764i | ||||
\(971\) | 13.3782 | + | 34.0872i | 0.429328 | + | 1.09391i | 0.967901 | + | 0.251332i | \(0.0808685\pi\) |
−0.538573 | + | 0.842579i | \(0.681036\pi\) | |||||||
\(972\) | −8.21345 | + | 29.5542i | −0.263447 | + | 0.947950i | ||||
\(973\) | 11.3400 | + | 25.3159i | 0.363544 | + | 0.811589i | ||||
\(974\) | 0.832436 | − | 0.567545i | 0.0266730 | − | 0.0181853i | ||||
\(975\) | 13.6043 | − | 40.5768i | 0.435685 | − | 1.29950i | ||||
\(976\) | −22.9892 | − | 21.3309i | −0.735866 | − | 0.682784i | ||||
\(977\) | 0.891282 | − | 11.8933i | 0.0285146 | − | 0.380502i | −0.964630 | − | 0.263608i | \(-0.915087\pi\) |
0.993144 | − | 0.116893i | \(-0.0372936\pi\) | |||||||
\(978\) | 0.595992 | − | 0.830093i | 0.0190577 | − | 0.0265435i | ||||
\(979\) | 24.2247 | − | 41.9585i | 0.774226 | − | 1.34100i | ||||
\(980\) | −1.12178 | − | 6.57119i | −0.0358341 | − | 0.209909i | ||||
\(981\) | 23.5595 | + | 12.7908i | 0.752198 | + | 0.408380i | ||||
\(982\) | −3.91806 | + | 0.590552i | −0.125030 | + | 0.0188453i | ||||
\(983\) | 45.4003 | − | 21.8636i | 1.44804 | − | 0.697342i | 0.465790 | − | 0.884895i | \(-0.345770\pi\) |
0.982254 | + | 0.187553i | \(0.0600558\pi\) | |||||||
\(984\) | −3.42002 | − | 5.28781i | −0.109026 | − | 0.168569i | ||||
\(985\) | −2.46639 | + | 1.18775i | −0.0785857 | + | 0.0378449i | ||||
\(986\) | −0.117375 | − | 1.56626i | −0.00373798 | − | 0.0498799i | ||||
\(987\) | −21.2399 | − | 4.33988i | −0.676073 | − | 0.138140i | ||||
\(988\) | 2.73364 | − | 36.4779i | 0.0869687 | − | 1.16052i | ||||
\(989\) | −13.2528 | − | 33.7677i | −0.421416 | − | 1.07375i | ||||
\(990\) | −0.932212 | − | 1.29314i | −0.0296276 | − | 0.0410986i | ||||
\(991\) | −16.8393 | + | 42.9059i | −0.534919 | + | 1.36295i | 0.366668 | + | 0.930352i | \(0.380498\pi\) |
−0.901587 | + | 0.432598i | \(0.857597\pi\) | |||||||
\(992\) | −3.80328 | + | 3.52893i | −0.120754 | + | 0.112044i | ||||
\(993\) | −30.2723 | − | 3.00967i | −0.960664 | − | 0.0955090i | ||||
\(994\) | 1.06951 | + | 2.38760i | 0.0339226 | + | 0.0757301i | ||||
\(995\) | −0.213049 | − | 0.0321120i | −0.00675411 | − | 0.00101802i | ||||
\(996\) | −50.7929 | + | 18.5239i | −1.60943 | + | 0.586951i | ||||
\(997\) | 4.34465 | + | 19.0352i | 0.137597 | + | 0.602850i | 0.995959 | + | 0.0898065i | \(0.0286249\pi\) |
−0.858363 | + | 0.513043i | \(0.828518\pi\) | |||||||
\(998\) | 1.25250 | + | 2.16939i | 0.0396471 | + | 0.0686708i | ||||
\(999\) | −15.0638 | + | 4.67822i | −0.476599 | + | 0.148012i |
(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 | 441.2.z.a.142.27 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.27 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.27 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.27 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.27 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.27 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.27 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.27 | yes | 648 | 441.382 | even | 21 | inner |