Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(19,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cg (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 124.3 | ||
Character | \(\chi\) | \(=\) | 273.124 |
Dual form | 273.2.cg.a.262.3 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.339011 | + | 1.26521i | −0.239717 | + | 0.894636i | 0.736248 | + | 0.676711i | \(0.236595\pi\) |
−0.975966 | + | 0.217925i | \(0.930071\pi\) | |||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | 0.246231 | + | 0.142161i | 0.123115 | + | 0.0710807i | ||||
\(5\) | 0.109857 | + | 0.409991i | 0.0491295 | + | 0.183354i | 0.986130 | − | 0.165974i | \(-0.0530767\pi\) |
−0.937001 | + | 0.349328i | \(0.886410\pi\) | |||||||
\(6\) | −1.26521 | − | 0.339011i | −0.516519 | − | 0.138401i | ||||
\(7\) | −2.64485 | + | 0.0688957i | −0.999661 | + | 0.0260401i | ||||
\(8\) | −2.11573 | + | 2.11573i | −0.748024 | + | 0.748024i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −0.555967 | −0.175812 | ||||||||
\(11\) | −0.991601 | + | 0.991601i | −0.298979 | + | 0.298979i | −0.840614 | − | 0.541635i | \(-0.817806\pi\) |
0.541635 | + | 0.840614i | \(0.317806\pi\) | |||||||
\(12\) | −0.142161 | + | 0.246231i | −0.0410385 | + | 0.0710807i | ||||
\(13\) | 3.54669 | + | 0.648849i | 0.983674 | + | 0.179958i | ||||
\(14\) | 0.809468 | − | 3.36964i | 0.216339 | − | 0.900575i | ||||
\(15\) | −0.409991 | + | 0.109857i | −0.105859 | + | 0.0283649i | ||||
\(16\) | −1.67526 | − | 2.90163i | −0.418814 | − | 0.725408i | ||||
\(17\) | −3.47319 | + | 6.01574i | −0.842373 | + | 1.45903i | 0.0455107 | + | 0.998964i | \(0.485508\pi\) |
−0.887883 | + | 0.460069i | \(0.847825\pi\) | |||||||
\(18\) | 0.339011 | − | 1.26521i | 0.0799057 | − | 0.298212i | ||||
\(19\) | 0.391726 | − | 0.391726i | 0.0898682 | − | 0.0898682i | −0.660744 | − | 0.750612i | \(-0.729759\pi\) |
0.750612 | + | 0.660744i | \(0.229759\pi\) | |||||||
\(20\) | −0.0312348 | + | 0.116570i | −0.00698432 | + | 0.0260658i | ||||
\(21\) | −0.0688957 | − | 2.64485i | −0.0150343 | − | 0.577154i | ||||
\(22\) | −0.918416 | − | 1.59074i | −0.195807 | − | 0.339148i | ||||
\(23\) | 6.79199 | − | 3.92136i | 1.41623 | − | 0.817659i | 0.420263 | − | 0.907403i | \(-0.361938\pi\) |
0.995965 | + | 0.0897432i | \(0.0286046\pi\) | |||||||
\(24\) | −2.11573 | − | 2.11573i | −0.431872 | − | 0.431872i | ||||
\(25\) | 4.17410 | − | 2.40992i | 0.834821 | − | 0.481984i | ||||
\(26\) | −2.02329 | + | 4.26733i | −0.396801 | + | 0.836892i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −0.661039 | − | 0.359032i | −0.124925 | − | 0.0678507i | ||||
\(29\) | −3.01567 | + | 5.22330i | −0.559997 | + | 0.969943i | 0.437499 | + | 0.899219i | \(0.355864\pi\) |
−0.997496 | + | 0.0707238i | \(0.977469\pi\) | |||||||
\(30\) | − | 0.555967i | − | 0.101505i | ||||||
\(31\) | −8.09928 | − | 2.17020i | −1.45467 | − | 0.389779i | −0.557027 | − | 0.830494i | \(-0.688058\pi\) |
−0.897647 | + | 0.440715i | \(0.854725\pi\) | |||||||
\(32\) | −1.54119 | + | 0.412960i | −0.272446 | + | 0.0730017i | ||||
\(33\) | −0.991601 | − | 0.991601i | −0.172615 | − | 0.172615i | ||||
\(34\) | −6.43371 | − | 6.43371i | −1.10337 | − | 1.10337i | ||||
\(35\) | −0.318802 | − | 1.07680i | −0.0538874 | − | 0.182012i | ||||
\(36\) | −0.246231 | − | 0.142161i | −0.0410385 | − | 0.0236936i | ||||
\(37\) | 5.79276 | + | 1.55216i | 0.952323 | + | 0.255174i | 0.701348 | − | 0.712819i | \(-0.252582\pi\) |
0.250975 | + | 0.967993i | \(0.419249\pi\) | |||||||
\(38\) | 0.362815 | + | 0.628415i | 0.0588564 | + | 0.101942i | ||||
\(39\) | −0.648849 | + | 3.54669i | −0.103899 | + | 0.567925i | ||||
\(40\) | −1.09986 | − | 0.635004i | −0.173903 | − | 0.100403i | ||||
\(41\) | 0.434817 | + | 1.62276i | 0.0679070 | + | 0.253433i | 0.991532 | − | 0.129866i | \(-0.0414547\pi\) |
−0.923625 | + | 0.383299i | \(0.874788\pi\) | |||||||
\(42\) | 3.36964 | + | 0.809468i | 0.519947 | + | 0.124904i | ||||
\(43\) | 6.49491 | − | 3.74984i | 0.990464 | − | 0.571845i | 0.0850513 | − | 0.996377i | \(-0.472895\pi\) |
0.905413 | + | 0.424532i | \(0.139561\pi\) | |||||||
\(44\) | −0.385130 | + | 0.103195i | −0.0580605 | + | 0.0155573i | ||||
\(45\) | −0.109857 | − | 0.409991i | −0.0163765 | − | 0.0611179i | ||||
\(46\) | 2.65877 | + | 9.92265i | 0.392014 | + | 1.46302i | ||||
\(47\) | 9.79969 | − | 2.62582i | 1.42943 | − | 0.383015i | 0.540612 | − | 0.841272i | \(-0.318193\pi\) |
0.888820 | + | 0.458257i | \(0.151526\pi\) | |||||||
\(48\) | 2.90163 | − | 1.67526i | 0.418814 | − | 0.241803i | ||||
\(49\) | 6.99051 | − | 0.364438i | 0.998644 | − | 0.0520626i | ||||
\(50\) | 1.63398 | + | 6.09809i | 0.231080 | + | 0.862401i | ||||
\(51\) | −6.01574 | − | 3.47319i | −0.842373 | − | 0.486344i | ||||
\(52\) | 0.781063 | + | 0.663969i | 0.108314 | + | 0.0920759i | ||||
\(53\) | 3.77860 | + | 6.54472i | 0.519030 | + | 0.898986i | 0.999755 | + | 0.0221152i | \(0.00704007\pi\) |
−0.480725 | + | 0.876871i | \(0.659627\pi\) | |||||||
\(54\) | 1.26521 | + | 0.339011i | 0.172173 | + | 0.0461336i | ||||
\(55\) | −0.515482 | − | 0.297614i | −0.0695076 | − | 0.0401302i | ||||
\(56\) | 5.45003 | − | 5.74156i | 0.728291 | − | 0.767249i | ||||
\(57\) | 0.391726 | + | 0.391726i | 0.0518854 | + | 0.0518854i | ||||
\(58\) | −5.58621 | − | 5.58621i | −0.733505 | − | 0.733505i | ||||
\(59\) | −6.60405 | + | 1.76955i | −0.859774 | + | 0.230376i | −0.661661 | − | 0.749803i | \(-0.730148\pi\) |
−0.198113 | + | 0.980179i | \(0.563481\pi\) | |||||||
\(60\) | −0.116570 | − | 0.0312348i | −0.0150491 | − | 0.00403240i | ||||
\(61\) | 2.75753i | 0.353065i | 0.984295 | + | 0.176533i | \(0.0564881\pi\) | ||||
−0.984295 | + | 0.176533i | \(0.943512\pi\) | |||||||
\(62\) | 5.49149 | − | 9.51155i | 0.697421 | − | 1.20797i | ||||
\(63\) | 2.64485 | − | 0.0688957i | 0.333220 | − | 0.00868004i | ||||
\(64\) | − | 8.79095i | − | 1.09887i | ||||||
\(65\) | 0.123606 | + | 1.52539i | 0.0153314 | + | 0.189202i | ||||
\(66\) | 1.59074 | − | 0.918416i | 0.195807 | − | 0.113049i | ||||
\(67\) | 10.1130 | + | 10.1130i | 1.23550 | + | 1.23550i | 0.961820 | + | 0.273684i | \(0.0882422\pi\) |
0.273684 | + | 0.961820i | \(0.411758\pi\) | |||||||
\(68\) | −1.71041 | + | 0.987508i | −0.207418 | + | 0.119753i | ||||
\(69\) | 3.92136 | + | 6.79199i | 0.472076 | + | 0.817659i | ||||
\(70\) | 1.47045 | − | 0.0383037i | 0.175752 | − | 0.00457817i | ||||
\(71\) | 1.00255 | − | 3.74157i | 0.118981 | − | 0.444042i | −0.880573 | − | 0.473910i | \(-0.842842\pi\) |
0.999554 | + | 0.0298681i | \(0.00950874\pi\) | |||||||
\(72\) | 2.11573 | − | 2.11573i | 0.249341 | − | 0.249341i | ||||
\(73\) | −2.96655 | + | 11.0713i | −0.347209 | + | 1.29580i | 0.542802 | + | 0.839861i | \(0.317363\pi\) |
−0.890011 | + | 0.455940i | \(0.849303\pi\) | |||||||
\(74\) | −3.92762 | + | 6.80283i | −0.456576 | + | 0.790813i | ||||
\(75\) | 2.40992 | + | 4.17410i | 0.278274 | + | 0.481984i | ||||
\(76\) | 0.152144 | − | 0.0407667i | 0.0174521 | − | 0.00467627i | ||||
\(77\) | 2.55432 | − | 2.69096i | 0.291092 | − | 0.306663i | ||||
\(78\) | −4.26733 | − | 2.02329i | −0.483180 | − | 0.229093i | ||||
\(79\) | 4.32696 | − | 7.49452i | 0.486821 | − | 0.843199i | −0.513064 | − | 0.858350i | \(-0.671490\pi\) |
0.999885 | + | 0.0151513i | \(0.00482300\pi\) | |||||||
\(80\) | 1.00561 | − | 1.00561i | 0.112430 | − | 0.112430i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −2.20054 | −0.243008 | ||||||||
\(83\) | 2.26360 | − | 2.26360i | 0.248462 | − | 0.248462i | −0.571877 | − | 0.820339i | \(-0.693785\pi\) |
0.820339 | + | 0.571877i | \(0.193785\pi\) | |||||||
\(84\) | 0.359032 | − | 0.661039i | 0.0391736 | − | 0.0721253i | ||||
\(85\) | −2.84796 | − | 0.763108i | −0.308904 | − | 0.0827707i | ||||
\(86\) | 2.54247 | + | 9.48864i | 0.274162 | + | 1.02319i | ||||
\(87\) | −5.22330 | − | 3.01567i | −0.559997 | − | 0.323314i | ||||
\(88\) | − | 4.19592i | − | 0.447286i | ||||||
\(89\) | 2.99879 | − | 11.1916i | 0.317871 | − | 1.18631i | −0.603415 | − | 0.797427i | \(-0.706194\pi\) |
0.921286 | − | 0.388885i | \(-0.127140\pi\) | |||||||
\(90\) | 0.555967 | 0.0586040 | ||||||||
\(91\) | −9.42518 | − | 1.47176i | −0.988027 | − | 0.154282i | ||||
\(92\) | 2.22986 | 0.232479 | ||||||||
\(93\) | 2.17020 | − | 8.09928i | 0.225039 | − | 0.839856i | ||||
\(94\) | 13.2888i | 1.37064i | ||||||||
\(95\) | 0.203638 | + | 0.117571i | 0.0208929 | + | 0.0120625i | ||||
\(96\) | −0.412960 | − | 1.54119i | −0.0421476 | − | 0.157297i | ||||
\(97\) | −15.5709 | − | 4.17221i | −1.58099 | − | 0.423624i | −0.641755 | − | 0.766910i | \(-0.721793\pi\) |
−0.939231 | + | 0.343286i | \(0.888460\pi\) | |||||||
\(98\) | −1.90877 | + | 8.96799i | −0.192815 | + | 0.905903i | ||||
\(99\) | 0.991601 | − | 0.991601i | 0.0996596 | − | 0.0996596i | ||||
\(100\) | 1.37039 | 0.137039 | ||||||||
\(101\) | 7.10933 | 0.707405 | 0.353702 | − | 0.935358i | \(-0.384923\pi\) | ||||
0.353702 | + | 0.935358i | \(0.384923\pi\) | |||||||
\(102\) | 6.43371 | − | 6.43371i | 0.637032 | − | 0.637032i | ||||
\(103\) | −5.13973 | + | 8.90227i | −0.506432 | + | 0.877167i | 0.493540 | + | 0.869723i | \(0.335703\pi\) |
−0.999972 | + | 0.00744360i | \(0.997631\pi\) | |||||||
\(104\) | −8.87662 | + | 6.13105i | −0.870425 | + | 0.601198i | ||||
\(105\) | 1.07680 | − | 0.318802i | 0.105085 | − | 0.0311119i | ||||
\(106\) | −9.56141 | + | 2.56197i | −0.928686 | + | 0.248841i | ||||
\(107\) | −2.24715 | − | 3.89218i | −0.217240 | − | 0.376271i | 0.736723 | − | 0.676195i | \(-0.236372\pi\) |
−0.953963 | + | 0.299924i | \(0.903039\pi\) | |||||||
\(108\) | 0.142161 | − | 0.246231i | 0.0136795 | − | 0.0236936i | ||||
\(109\) | 1.17499 | − | 4.38513i | 0.112544 | − | 0.420019i | −0.886548 | − | 0.462637i | \(-0.846903\pi\) |
0.999091 | + | 0.0426183i | \(0.0135699\pi\) | |||||||
\(110\) | 0.551297 | − | 0.551297i | 0.0525641 | − | 0.0525641i | ||||
\(111\) | −1.55216 | + | 5.79276i | −0.147325 | + | 0.549824i | ||||
\(112\) | 4.63072 | + | 7.55897i | 0.437562 | + | 0.714256i | ||||
\(113\) | −3.41572 | − | 5.91619i | −0.321324 | − | 0.556549i | 0.659438 | − | 0.751759i | \(-0.270794\pi\) |
−0.980761 | + | 0.195210i | \(0.937461\pi\) | |||||||
\(114\) | −0.628415 | + | 0.362815i | −0.0588564 | + | 0.0339808i | ||||
\(115\) | 2.35387 | + | 2.35387i | 0.219499 | + | 0.219499i | ||||
\(116\) | −1.48510 | + | 0.857425i | −0.137888 | + | 0.0796099i | ||||
\(117\) | −3.54669 | − | 0.648849i | −0.327891 | − | 0.0599861i | ||||
\(118\) | − | 8.95538i | − | 0.824410i | ||||||
\(119\) | 8.77163 | − | 16.1501i | 0.804094 | − | 1.48047i | ||||
\(120\) | 0.635004 | − | 1.09986i | 0.0579676 | − | 0.100403i | ||||
\(121\) | 9.03346i | 0.821223i | ||||||||
\(122\) | −3.48884 | − | 0.934832i | −0.315865 | − | 0.0846357i | ||||
\(123\) | −1.62276 | + | 0.434817i | −0.146319 | + | 0.0392062i | ||||
\(124\) | −1.68578 | − | 1.68578i | −0.151387 | − | 0.151387i | ||||
\(125\) | 2.94727 | + | 2.94727i | 0.263612 | + | 0.263612i | ||||
\(126\) | −0.809468 | + | 3.36964i | −0.0721131 | + | 0.300192i | ||||
\(127\) | 0.727835 | + | 0.420216i | 0.0645850 | + | 0.0372881i | 0.531945 | − | 0.846779i | \(-0.321461\pi\) |
−0.467360 | + | 0.884067i | \(0.654795\pi\) | |||||||
\(128\) | 8.03999 | + | 2.15431i | 0.710642 | + | 0.190416i | ||||
\(129\) | 3.74984 | + | 6.49491i | 0.330155 | + | 0.571845i | ||||
\(130\) | −1.97184 | − | 0.360738i | −0.172942 | − | 0.0316388i | ||||
\(131\) | −15.6642 | − | 9.04371i | −1.36858 | − | 0.790152i | −0.377837 | − | 0.925872i | \(-0.623332\pi\) |
−0.990747 | + | 0.135720i | \(0.956665\pi\) | |||||||
\(132\) | −0.103195 | − | 0.385130i | −0.00898200 | − | 0.0335213i | ||||
\(133\) | −1.00907 | + | 1.06305i | −0.0874976 | + | 0.0921779i | ||||
\(134\) | −16.2235 | + | 9.36665i | −1.40150 | + | 0.809155i | ||||
\(135\) | 0.409991 | − | 0.109857i | 0.0352864 | − | 0.00945497i | ||||
\(136\) | −5.37936 | − | 20.0760i | −0.461276 | − | 1.72151i | ||||
\(137\) | −3.76136 | − | 14.0376i | −0.321355 | − | 1.19931i | −0.917926 | − | 0.396752i | \(-0.870137\pi\) |
0.596571 | − | 0.802560i | \(-0.296529\pi\) | |||||||
\(138\) | −9.92265 | + | 2.65877i | −0.844672 | + | 0.226329i | ||||
\(139\) | 10.1485 | − | 5.85922i | 0.860782 | − | 0.496973i | −0.00349232 | − | 0.999994i | \(-0.501112\pi\) |
0.864274 | + | 0.503021i | \(0.167778\pi\) | |||||||
\(140\) | 0.0745804 | − | 0.310462i | 0.00630319 | − | 0.0262389i | ||||
\(141\) | 2.62582 | + | 9.79969i | 0.221134 | + | 0.825283i | ||||
\(142\) | 4.39398 | + | 2.53687i | 0.368735 | + | 0.212889i | ||||
\(143\) | −4.16030 | + | 2.87350i | −0.347901 | + | 0.240294i | ||||
\(144\) | 1.67526 | + | 2.90163i | 0.139605 | + | 0.241803i | ||||
\(145\) | −2.47280 | − | 0.662585i | −0.205355 | − | 0.0550247i | ||||
\(146\) | −13.0018 | − | 7.50661i | −1.07604 | − | 0.621251i | ||||
\(147\) | 0.364438 | + | 6.99051i | 0.0300584 | + | 0.576567i | ||||
\(148\) | 1.20570 | + | 1.20570i | 0.0991077 | + | 0.0991077i | ||||
\(149\) | −4.46306 | − | 4.46306i | −0.365629 | − | 0.365629i | 0.500252 | − | 0.865880i | \(-0.333241\pi\) |
−0.865880 | + | 0.500252i | \(0.833241\pi\) | |||||||
\(150\) | −6.09809 | + | 1.63398i | −0.497907 | + | 0.133414i | ||||
\(151\) | −5.47520 | − | 1.46708i | −0.445565 | − | 0.119389i | 0.0290583 | − | 0.999578i | \(-0.490749\pi\) |
−0.474624 | + | 0.880189i | \(0.657416\pi\) | |||||||
\(152\) | 1.65758i | 0.134447i | ||||||||
\(153\) | 3.47319 | − | 6.01574i | 0.280791 | − | 0.486344i | ||||
\(154\) | 2.53867 | + | 4.14401i | 0.204572 | + | 0.333934i | ||||
\(155\) | − | 3.55905i | − | 0.285870i | ||||||
\(156\) | −0.663969 | + | 0.781063i | −0.0531601 | + | 0.0625351i | ||||
\(157\) | −4.05121 | + | 2.33897i | −0.323322 | + | 0.186670i | −0.652872 | − | 0.757468i | \(-0.726436\pi\) |
0.329550 | + | 0.944138i | \(0.393103\pi\) | |||||||
\(158\) | 8.01523 | + | 8.01523i | 0.637657 | + | 0.637657i | ||||
\(159\) | −6.54472 | + | 3.77860i | −0.519030 | + | 0.299662i | ||||
\(160\) | −0.338620 | − | 0.586507i | −0.0267703 | − | 0.0463675i | ||||
\(161\) | −17.6937 | + | 10.8394i | −1.39446 | + | 0.854261i | ||||
\(162\) | −0.339011 | + | 1.26521i | −0.0266352 | + | 0.0994040i | ||||
\(163\) | −8.51303 | + | 8.51303i | −0.666792 | + | 0.666792i | −0.956972 | − | 0.290180i | \(-0.906285\pi\) |
0.290180 | + | 0.956972i | \(0.406285\pi\) | |||||||
\(164\) | −0.123629 | + | 0.461388i | −0.00965376 | + | 0.0360283i | ||||
\(165\) | 0.297614 | − | 0.515482i | 0.0231692 | − | 0.0401302i | ||||
\(166\) | 2.09653 | + | 3.63130i | 0.162723 | + | 0.281844i | ||||
\(167\) | −2.16916 | + | 0.581223i | −0.167854 | + | 0.0449764i | −0.341767 | − | 0.939785i | \(-0.611025\pi\) |
0.173913 | + | 0.984761i | \(0.444359\pi\) | |||||||
\(168\) | 5.74156 | + | 5.45003i | 0.442971 | + | 0.420479i | ||||
\(169\) | 12.1580 | + | 4.60253i | 0.935230 | + | 0.354041i | ||||
\(170\) | 1.93098 | − | 3.34455i | 0.148099 | − | 0.256516i | ||||
\(171\) | −0.391726 | + | 0.391726i | −0.0299561 | + | 0.0299561i | ||||
\(172\) | 2.13233 | 0.162589 | ||||||||
\(173\) | 11.6417 | 0.885104 | 0.442552 | − | 0.896743i | \(-0.354073\pi\) | ||||
0.442552 | + | 0.896743i | \(0.354073\pi\) | |||||||
\(174\) | 5.58621 | − | 5.58621i | 0.423489 | − | 0.423489i | ||||
\(175\) | −10.8739 | + | 6.66146i | −0.821987 | + | 0.503559i | ||||
\(176\) | 4.53844 | + | 1.21607i | 0.342098 | + | 0.0916649i | ||||
\(177\) | −1.76955 | − | 6.60405i | −0.133007 | − | 0.496391i | ||||
\(178\) | 13.1431 | + | 7.58819i | 0.985119 | + | 0.568759i | ||||
\(179\) | − | 18.9048i | − | 1.41301i | −0.707707 | − | 0.706506i | \(-0.750270\pi\) | ||
0.707707 | − | 0.706506i | \(-0.249730\pi\) | |||||||
\(180\) | 0.0312348 | − | 0.116570i | 0.00232811 | − | 0.00868861i | ||||
\(181\) | −0.400647 | −0.0297799 | −0.0148899 | − | 0.999889i | \(-0.504740\pi\) | ||||
−0.0148899 | + | 0.999889i | \(0.504740\pi\) | |||||||
\(182\) | 5.05732 | − | 11.4259i | 0.374873 | − | 0.846941i | ||||
\(183\) | −2.75753 | −0.203842 | ||||||||
\(184\) | −6.07348 | + | 22.6665i | −0.447743 | + | 1.67100i | ||||
\(185\) | 2.54550i | 0.187149i | ||||||||
\(186\) | 9.51155 | + | 5.49149i | 0.697421 | + | 0.402656i | ||||
\(187\) | −2.52120 | − | 9.40923i | −0.184368 | − | 0.688071i | ||||
\(188\) | 2.78628 | + | 0.746580i | 0.203210 | + | 0.0544500i | ||||
\(189\) | 0.0688957 | + | 2.64485i | 0.00501143 | + | 0.192385i | ||||
\(190\) | −0.217787 | + | 0.217787i | −0.0157999 | + | 0.0157999i | ||||
\(191\) | −10.2522 | −0.741825 | −0.370912 | − | 0.928668i | \(-0.620955\pi\) | ||||
−0.370912 | + | 0.928668i | \(0.620955\pi\) | |||||||
\(192\) | 8.79095 | 0.634432 | ||||||||
\(193\) | 6.33761 | − | 6.33761i | 0.456191 | − | 0.456191i | −0.441212 | − | 0.897403i | \(-0.645451\pi\) |
0.897403 | + | 0.441212i | \(0.145451\pi\) | |||||||
\(194\) | 10.5574 | − | 18.2860i | 0.757979 | − | 1.31286i | ||||
\(195\) | −1.52539 | + | 0.123606i | −0.109236 | + | 0.00885158i | ||||
\(196\) | 1.77309 | + | 0.904045i | 0.126649 | + | 0.0645746i | ||||
\(197\) | −4.04286 | + | 1.08328i | −0.288042 | + | 0.0771806i | −0.399947 | − | 0.916538i | \(-0.630971\pi\) |
0.111905 | + | 0.993719i | \(0.464305\pi\) | |||||||
\(198\) | 0.918416 | + | 1.59074i | 0.0652690 | + | 0.113049i | ||||
\(199\) | 0.0365758 | − | 0.0633511i | 0.00259279 | − | 0.00449084i | −0.864726 | − | 0.502244i | \(-0.832508\pi\) |
0.867319 | + | 0.497753i | \(0.165841\pi\) | |||||||
\(200\) | −3.73254 | + | 13.9300i | −0.263930 | + | 0.985001i | ||||
\(201\) | −10.1130 | + | 10.1130i | −0.713318 | + | 0.713318i | ||||
\(202\) | −2.41014 | + | 8.99477i | −0.169577 | + | 0.632870i | ||||
\(203\) | 7.61615 | − | 14.0226i | 0.534549 | − | 0.984196i | ||||
\(204\) | −0.987508 | − | 1.71041i | −0.0691394 | − | 0.119753i | ||||
\(205\) | −0.617550 | + | 0.356543i | −0.0431316 | + | 0.0249020i | ||||
\(206\) | −9.52079 | − | 9.52079i | −0.663345 | − | 0.663345i | ||||
\(207\) | −6.79199 | + | 3.92136i | −0.472076 | + | 0.272553i | ||||
\(208\) | −4.05890 | − | 11.3782i | −0.281434 | − | 0.788934i | ||||
\(209\) | 0.776872i | 0.0537374i | ||||||||
\(210\) | 0.0383037 | + | 1.47045i | 0.00264321 | + | 0.101471i | ||||
\(211\) | 10.3736 | − | 17.9676i | 0.714148 | − | 1.23694i | −0.249140 | − | 0.968468i | \(-0.580148\pi\) |
0.963287 | − | 0.268472i | \(-0.0865188\pi\) | |||||||
\(212\) | 2.14868i | 0.147572i | ||||||||
\(213\) | 3.74157 | + | 1.00255i | 0.256368 | + | 0.0686936i | ||||
\(214\) | 5.68622 | − | 1.52362i | 0.388702 | − | 0.104152i | ||||
\(215\) | 2.25091 | + | 2.25091i | 0.153511 | + | 0.153511i | ||||
\(216\) | 2.11573 | + | 2.11573i | 0.143957 | + | 0.143957i | ||||
\(217\) | 21.5709 | + | 5.18185i | 1.46433 | + | 0.351767i | ||||
\(218\) | 5.14976 | + | 2.97321i | 0.348785 | + | 0.201371i | ||||
\(219\) | −11.0713 | − | 2.96655i | −0.748131 | − | 0.200461i | ||||
\(220\) | −0.0846184 | − | 0.146563i | −0.00570497 | − | 0.00988129i | ||||
\(221\) | −16.2216 | + | 19.0824i | −1.09119 | + | 1.28362i | ||||
\(222\) | −6.80283 | − | 3.92762i | −0.456576 | − | 0.263604i | ||||
\(223\) | 0.0283672 | + | 0.105868i | 0.00189961 | + | 0.00708942i | 0.966869 | − | 0.255273i | \(-0.0821652\pi\) |
−0.964970 | + | 0.262362i | \(0.915499\pi\) | |||||||
\(224\) | 4.04777 | − | 1.19840i | 0.270453 | − | 0.0800715i | ||||
\(225\) | −4.17410 | + | 2.40992i | −0.278274 | + | 0.160661i | ||||
\(226\) | 8.64317 | − | 2.31593i | 0.574935 | − | 0.154053i | ||||
\(227\) | −0.815721 | − | 3.04431i | −0.0541413 | − | 0.202058i | 0.933557 | − | 0.358429i | \(-0.116687\pi\) |
−0.987698 | + | 0.156370i | \(0.950021\pi\) | |||||||
\(228\) | 0.0407667 | + | 0.152144i | 0.00269984 | + | 0.0100760i | ||||
\(229\) | 15.4843 | − | 4.14901i | 1.02323 | − | 0.274174i | 0.292084 | − | 0.956393i | \(-0.405651\pi\) |
0.731148 | + | 0.682218i | \(0.238985\pi\) | |||||||
\(230\) | −3.77612 | + | 2.18014i | −0.248990 | + | 0.143754i | ||||
\(231\) | 2.69096 | + | 2.55432i | 0.177052 | + | 0.168062i | ||||
\(232\) | −4.67074 | − | 17.4314i | −0.306649 | − | 1.14443i | ||||
\(233\) | 21.8559 | + | 12.6185i | 1.43183 | + | 0.826668i | 0.997260 | − | 0.0739699i | \(-0.0235669\pi\) |
0.434570 | + | 0.900638i | \(0.356900\pi\) | |||||||
\(234\) | 2.02329 | − | 4.26733i | 0.132267 | − | 0.278964i | ||||
\(235\) | 2.15313 | + | 3.72932i | 0.140454 | + | 0.243274i | ||||
\(236\) | −1.87768 | − | 0.503123i | −0.122227 | − | 0.0327505i | ||||
\(237\) | 7.49452 | + | 4.32696i | 0.486821 | + | 0.281066i | ||||
\(238\) | 17.4595 | + | 16.5730i | 1.13173 | + | 1.07427i | ||||
\(239\) | 3.59516 | + | 3.59516i | 0.232552 | + | 0.232552i | 0.813757 | − | 0.581205i | \(-0.197419\pi\) |
−0.581205 | + | 0.813757i | \(0.697419\pi\) | |||||||
\(240\) | 1.00561 | + | 1.00561i | 0.0649115 | + | 0.0649115i | ||||
\(241\) | 2.94368 | − | 0.788756i | 0.189619 | − | 0.0508082i | −0.162760 | − | 0.986666i | \(-0.552040\pi\) |
0.352379 | + | 0.935857i | \(0.385373\pi\) | |||||||
\(242\) | −11.4292 | − | 3.06244i | −0.734696 | − | 0.196861i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −0.392014 | + | 0.678988i | −0.0250961 | + | 0.0434678i | ||||
\(245\) | 0.917372 | + | 2.82601i | 0.0586087 | + | 0.180547i | ||||
\(246\) | − | 2.20054i | − | 0.140301i | ||||||
\(247\) | 1.64350 | − | 1.13516i | 0.104574 | − | 0.0722285i | ||||
\(248\) | 21.7274 | − | 12.5443i | 1.37969 | − | 0.796567i | ||||
\(249\) | 2.26360 | + | 2.26360i | 0.143450 | + | 0.143450i | ||||
\(250\) | −4.72807 | + | 2.72975i | −0.299029 | + | 0.172645i | ||||
\(251\) | −3.62476 | − | 6.27826i | −0.228793 | − | 0.396280i | 0.728658 | − | 0.684878i | \(-0.240144\pi\) |
−0.957451 | + | 0.288597i | \(0.906811\pi\) | |||||||
\(252\) | 0.661039 | + | 0.359032i | 0.0416415 | + | 0.0226169i | ||||
\(253\) | −2.84652 | + | 10.6234i | −0.178959 | + | 0.667885i | ||||
\(254\) | −0.778405 | + | 0.778405i | −0.0488414 | + | 0.0488414i | ||||
\(255\) | 0.763108 | − | 2.84796i | 0.0477877 | − | 0.178346i | ||||
\(256\) | 3.33965 | − | 5.78445i | 0.208728 | − | 0.361528i | ||||
\(257\) | −5.73347 | − | 9.93067i | −0.357644 | − | 0.619458i | 0.629922 | − | 0.776658i | \(-0.283087\pi\) |
−0.987567 | + | 0.157200i | \(0.949753\pi\) | |||||||
\(258\) | −9.48864 | + | 2.54247i | −0.590737 | + | 0.158287i | ||||
\(259\) | −15.4279 | − | 3.70615i | −0.958645 | − | 0.230289i | ||||
\(260\) | −0.186416 | + | 0.393171i | −0.0115611 | + | 0.0243834i | ||||
\(261\) | 3.01567 | − | 5.22330i | 0.186666 | − | 0.323314i | ||||
\(262\) | 16.7525 | − | 16.7525i | 1.03497 | − | 1.03497i | ||||
\(263\) | −16.5877 | −1.02284 | −0.511421 | − | 0.859330i | \(-0.670881\pi\) | ||||
−0.511421 | + | 0.859330i | \(0.670881\pi\) | |||||||
\(264\) | 4.19592 | 0.258241 | ||||||||
\(265\) | −2.26817 | + | 2.26817i | −0.139333 | + | 0.139333i | ||||
\(266\) | −1.00289 | − | 1.63707i | −0.0614911 | − | 0.100375i | ||||
\(267\) | 11.1916 | + | 2.99879i | 0.684918 | + | 0.183523i | ||||
\(268\) | 1.05246 | + | 3.92782i | 0.0642891 | + | 0.239930i | ||||
\(269\) | −8.13960 | − | 4.69940i | −0.496280 | − | 0.286527i | 0.230896 | − | 0.972978i | \(-0.425834\pi\) |
−0.727176 | + | 0.686451i | \(0.759168\pi\) | |||||||
\(270\) | 0.555967i | 0.0338351i | ||||||||
\(271\) | −6.11175 | + | 22.8094i | −0.371262 | + | 1.38557i | 0.487467 | + | 0.873141i | \(0.337921\pi\) |
−0.858730 | + | 0.512429i | \(0.828746\pi\) | |||||||
\(272\) | 23.2740 | 1.41119 | ||||||||
\(273\) | 1.47176 | − | 9.42518i | 0.0890749 | − | 0.570438i | ||||
\(274\) | 19.0356 | 1.14998 | ||||||||
\(275\) | −1.74937 | + | 6.52872i | −0.105491 | + | 0.393697i | ||||
\(276\) | 2.22986i | 0.134222i | ||||||||
\(277\) | 6.78102 | + | 3.91502i | 0.407432 | + | 0.235231i | 0.689686 | − | 0.724109i | \(-0.257749\pi\) |
−0.282254 | + | 0.959340i | \(0.591082\pi\) | |||||||
\(278\) | 3.97268 | + | 14.8263i | 0.238266 | + | 0.889219i | ||||
\(279\) | 8.09928 | + | 2.17020i | 0.484891 | + | 0.129926i | ||||
\(280\) | 2.95271 | + | 1.60372i | 0.176458 | + | 0.0958404i | ||||
\(281\) | 7.60467 | − | 7.60467i | 0.453656 | − | 0.453656i | −0.442910 | − | 0.896566i | \(-0.646054\pi\) |
0.896566 | + | 0.442910i | \(0.146054\pi\) | |||||||
\(282\) | −13.2888 | −0.791337 | ||||||||
\(283\) | −13.0919 | −0.778234 | −0.389117 | − | 0.921188i | \(-0.627220\pi\) | ||||
−0.389117 | + | 0.921188i | \(0.627220\pi\) | |||||||
\(284\) | 0.778765 | − | 0.778765i | 0.0462112 | − | 0.0462112i | ||||
\(285\) | −0.117571 | + | 0.203638i | −0.00696428 | + | 0.0120625i | ||||
\(286\) | −2.22518 | − | 6.23778i | −0.131578 | − | 0.368848i | ||||
\(287\) | −1.26183 | − | 4.26201i | −0.0744834 | − | 0.251578i | ||||
\(288\) | 1.54119 | − | 0.412960i | 0.0908154 | − | 0.0243339i | ||||
\(289\) | −15.6261 | − | 27.0652i | −0.919184 | − | 1.59207i | ||||
\(290\) | 1.67661 | − | 2.90398i | 0.0984542 | − | 0.170528i | ||||
\(291\) | 4.17221 | − | 15.5709i | 0.244579 | − | 0.912783i | ||||
\(292\) | −2.30437 | + | 2.30437i | −0.134853 | + | 0.134853i | ||||
\(293\) | −1.63802 | + | 6.11317i | −0.0956941 | + | 0.357135i | −0.997124 | − | 0.0757902i | \(-0.975852\pi\) |
0.901430 | + | 0.432926i | \(0.142519\pi\) | |||||||
\(294\) | −8.96799 | − | 1.90877i | −0.523024 | − | 0.111322i | ||||
\(295\) | −1.45100 | − | 2.51321i | −0.0844805 | − | 0.146324i | ||||
\(296\) | −15.5399 | + | 8.97195i | −0.903237 | + | 0.521484i | ||||
\(297\) | 0.991601 | + | 0.991601i | 0.0575385 | + | 0.0575385i | ||||
\(298\) | 7.15973 | − | 4.13367i | 0.414752 | − | 0.239457i | ||||
\(299\) | 26.6334 | − | 9.50085i | 1.54025 | − | 0.549449i | ||||
\(300\) | 1.37039i | 0.0791195i | ||||||||
\(301\) | −16.9197 | + | 10.3652i | −0.975238 | + | 0.597443i | ||||
\(302\) | 3.71231 | − | 6.42991i | 0.213619 | − | 0.369999i | ||||
\(303\) | 7.10933i | 0.408420i | ||||||||
\(304\) | −1.79289 | − | 0.480403i | −0.102829 | − | 0.0275530i | ||||
\(305\) | −1.13056 | + | 0.302933i | −0.0647358 | + | 0.0173459i | ||||
\(306\) | 6.43371 | + | 6.43371i | 0.367791 | + | 0.367791i | ||||
\(307\) | 0.930901 | + | 0.930901i | 0.0531293 | + | 0.0531293i | 0.733172 | − | 0.680043i | \(-0.238039\pi\) |
−0.680043 | + | 0.733172i | \(0.738039\pi\) | |||||||
\(308\) | 1.01150 | − | 0.299470i | 0.0576357 | − | 0.0170639i | ||||
\(309\) | −8.90227 | − | 5.13973i | −0.506432 | − | 0.292389i | ||||
\(310\) | 4.50293 | + | 1.20656i | 0.255749 | + | 0.0685278i | ||||
\(311\) | 15.2632 | + | 26.4366i | 0.865495 | + | 1.49908i | 0.866555 | + | 0.499081i | \(0.166329\pi\) |
−0.00106060 | + | 0.999999i | \(0.500338\pi\) | |||||||
\(312\) | −6.13105 | − | 8.87662i | −0.347102 | − | 0.502540i | ||||
\(313\) | −15.9124 | − | 9.18705i | −0.899425 | − | 0.519283i | −0.0224111 | − | 0.999749i | \(-0.507134\pi\) |
−0.877013 | + | 0.480466i | \(0.840468\pi\) | |||||||
\(314\) | −1.58587 | − | 5.91856i | −0.0894960 | − | 0.334004i | ||||
\(315\) | 0.318802 | + | 1.07680i | 0.0179625 | + | 0.0606707i | ||||
\(316\) | 2.13086 | − | 1.23025i | 0.119870 | − | 0.0692072i | ||||
\(317\) | 14.9352 | − | 4.00188i | 0.838845 | − | 0.224768i | 0.186276 | − | 0.982497i | \(-0.440358\pi\) |
0.652569 | + | 0.757730i | \(0.273691\pi\) | |||||||
\(318\) | −2.56197 | − | 9.56141i | −0.143668 | − | 0.536177i | ||||
\(319\) | −2.18908 | − | 8.16977i | −0.122565 | − | 0.457419i | ||||
\(320\) | 3.60421 | − | 0.965746i | 0.201482 | − | 0.0539868i | ||||
\(321\) | 3.89218 | − | 2.24715i | 0.217240 | − | 0.125424i | ||||
\(322\) | −7.71568 | − | 26.0608i | −0.429978 | − | 1.45231i | ||||
\(323\) | 0.995985 | + | 3.71707i | 0.0554181 | + | 0.206823i | ||||
\(324\) | 0.246231 | + | 0.142161i | 0.0136795 | + | 0.00789786i | ||||
\(325\) | 16.3679 | − | 5.83887i | 0.907928 | − | 0.323882i | ||||
\(326\) | −7.88473 | − | 13.6568i | −0.436695 | − | 0.756378i | ||||
\(327\) | 4.38513 | + | 1.17499i | 0.242498 | + | 0.0649771i | ||||
\(328\) | −4.35328 | − | 2.51337i | −0.240370 | − | 0.138777i | ||||
\(329\) | −25.7378 | + | 7.62006i | −1.41897 | + | 0.420108i | ||||
\(330\) | 0.551297 | + | 0.551297i | 0.0303479 | + | 0.0303479i | ||||
\(331\) | −18.8751 | − | 18.8751i | −1.03747 | − | 1.03747i | −0.999270 | − | 0.0382000i | \(-0.987838\pi\) |
−0.0382000 | − | 0.999270i | \(-0.512162\pi\) | |||||||
\(332\) | 0.879164 | − | 0.235571i | 0.0482504 | − | 0.0129286i | ||||
\(333\) | −5.79276 | − | 1.55216i | −0.317441 | − | 0.0850581i | ||||
\(334\) | − | 2.94147i | − | 0.160950i | ||||||
\(335\) | −3.03527 | + | 5.25724i | −0.165835 | + | 0.287234i | ||||
\(336\) | −7.55897 | + | 4.63072i | −0.412376 | + | 0.252627i | ||||
\(337\) | 25.3802i | 1.38255i | 0.722592 | + | 0.691275i | \(0.242951\pi\) | ||||
−0.722592 | + | 0.691275i | \(0.757049\pi\) | |||||||
\(338\) | −9.94485 | + | 13.8221i | −0.540928 | + | 0.751821i | ||||
\(339\) | 5.91619 | − | 3.41572i | 0.321324 | − | 0.185516i | ||||
\(340\) | −0.592770 | − | 0.592770i | −0.0321475 | − | 0.0321475i | ||||
\(341\) | 10.1832 | − | 5.87929i | 0.551452 | − | 0.318381i | ||||
\(342\) | −0.362815 | − | 0.628415i | −0.0196188 | − | 0.0339808i | ||||
\(343\) | −18.4638 | + | 1.44550i | −0.996949 | + | 0.0780498i | ||||
\(344\) | −5.80783 | + | 21.6751i | −0.313137 | + | 1.16864i | ||||
\(345\) | −2.35387 | + | 2.35387i | −0.126728 | + | 0.126728i | ||||
\(346\) | −3.94668 | + | 14.7292i | −0.212175 | + | 0.791846i | ||||
\(347\) | 1.16682 | − | 2.02099i | 0.0626380 | − | 0.108492i | −0.833006 | − | 0.553264i | \(-0.813382\pi\) |
0.895644 | + | 0.444772i | \(0.146715\pi\) | |||||||
\(348\) | −0.857425 | − | 1.48510i | −0.0459628 | − | 0.0796099i | ||||
\(349\) | 28.6493 | − | 7.67654i | 1.53356 | − | 0.410916i | 0.609381 | − | 0.792878i | \(-0.291418\pi\) |
0.924178 | + | 0.381962i | \(0.124751\pi\) | |||||||
\(350\) | −4.74177 | − | 16.0160i | −0.253458 | − | 0.856091i | ||||
\(351\) | 0.648849 | − | 3.54669i | 0.0346330 | − | 0.189308i | ||||
\(352\) | 1.11875 | − | 1.93773i | 0.0596296 | − | 0.103282i | ||||
\(353\) | 3.08874 | − | 3.08874i | 0.164397 | − | 0.164397i | −0.620114 | − | 0.784512i | \(-0.712914\pi\) |
0.784512 | + | 0.620114i | \(0.212914\pi\) | |||||||
\(354\) | 8.95538 | 0.475973 | ||||||||
\(355\) | 1.64415 | 0.0872623 | ||||||||
\(356\) | 2.32942 | − | 2.32942i | 0.123459 | − | 0.123459i | ||||
\(357\) | 16.1501 | + | 8.77163i | 0.854752 | + | 0.464244i | ||||
\(358\) | 23.9185 | + | 6.40895i | 1.26413 | + | 0.338723i | ||||
\(359\) | 5.54780 | + | 20.7047i | 0.292802 | + | 1.09275i | 0.942948 | + | 0.332941i | \(0.108041\pi\) |
−0.650146 | + | 0.759809i | \(0.725292\pi\) | |||||||
\(360\) | 1.09986 | + | 0.635004i | 0.0579676 | + | 0.0334676i | ||||
\(361\) | 18.6931i | 0.983847i | ||||||||
\(362\) | 0.135824 | − | 0.506902i | 0.00713875 | − | 0.0266422i | ||||
\(363\) | −9.03346 | −0.474134 | ||||||||
\(364\) | −2.11154 | − | 1.70229i | −0.110675 | − | 0.0892242i | ||||
\(365\) | −4.86505 | −0.254648 | ||||||||
\(366\) | 0.934832 | − | 3.48884i | 0.0488645 | − | 0.182365i | ||||
\(367\) | − | 12.6043i | − | 0.657938i | −0.944341 | − | 0.328969i | \(-0.893299\pi\) | ||
0.944341 | − | 0.328969i | \(-0.106701\pi\) | |||||||
\(368\) | −22.7567 | − | 13.1386i | −1.18627 | − | 0.684895i | ||||
\(369\) | −0.434817 | − | 1.62276i | −0.0226357 | − | 0.0844775i | ||||
\(370\) | −3.22058 | − | 0.862952i | −0.167430 | − | 0.0448627i | ||||
\(371\) | −10.4447 | − | 17.0495i | −0.542264 | − | 0.885166i | ||||
\(372\) | 1.68578 | − | 1.68578i | 0.0874034 | − | 0.0874034i | ||||
\(373\) | −15.9495 | −0.825835 | −0.412917 | − | 0.910768i | \(-0.635490\pi\) | ||||
−0.412917 | + | 0.910768i | \(0.635490\pi\) | |||||||
\(374\) | 12.7593 | 0.659770 | ||||||||
\(375\) | −2.94727 | + | 2.94727i | −0.152197 | + | 0.152197i | ||||
\(376\) | −15.1780 | + | 26.2890i | −0.782744 | + | 1.35575i | ||||
\(377\) | −14.0848 | + | 16.5687i | −0.725403 | + | 0.853331i | ||||
\(378\) | −3.36964 | − | 0.809468i | −0.173316 | − | 0.0416345i | ||||
\(379\) | −33.0651 | + | 8.85976i | −1.69844 | + | 0.455095i | −0.972545 | − | 0.232713i | \(-0.925240\pi\) |
−0.725893 | + | 0.687808i | \(0.758573\pi\) | |||||||
\(380\) | 0.0334280 | + | 0.0578990i | 0.00171482 | + | 0.00297016i | ||||
\(381\) | −0.420216 | + | 0.727835i | −0.0215283 | + | 0.0372881i | ||||
\(382\) | 3.47562 | − | 12.9712i | 0.177828 | − | 0.663664i | ||||
\(383\) | 9.22684 | − | 9.22684i | 0.471469 | − | 0.471469i | −0.430921 | − | 0.902390i | \(-0.641811\pi\) |
0.902390 | + | 0.430921i | \(0.141811\pi\) | |||||||
\(384\) | −2.15431 | + | 8.03999i | −0.109937 | + | 0.410289i | ||||
\(385\) | 1.38388 | + | 0.751630i | 0.0705290 | + | 0.0383066i | ||||
\(386\) | 5.86987 | + | 10.1669i | 0.298768 | + | 0.517482i | ||||
\(387\) | −6.49491 | + | 3.74984i | −0.330155 | + | 0.190615i | ||||
\(388\) | −3.24091 | − | 3.24091i | −0.164532 | − | 0.164532i | ||||
\(389\) | 14.8252 | − | 8.55933i | 0.751667 | − | 0.433975i | −0.0746290 | − | 0.997211i | \(-0.523777\pi\) |
0.826296 | + | 0.563236i | \(0.190444\pi\) | |||||||
\(390\) | 0.360738 | − | 1.97184i | 0.0182667 | − | 0.0998480i | ||||
\(391\) | 54.4785i | 2.75510i | ||||||||
\(392\) | −14.0190 | + | 15.5611i | −0.708065 | + | 0.785953i | ||||
\(393\) | 9.04371 | − | 15.6642i | 0.456195 | − | 0.790152i | ||||
\(394\) | − | 5.48230i | − | 0.276194i | ||||||
\(395\) | 3.54803 | + | 0.950693i | 0.178521 | + | 0.0478345i | ||||
\(396\) | 0.385130 | − | 0.103195i | 0.0193535 | − | 0.00518576i | ||||
\(397\) | −6.85482 | − | 6.85482i | −0.344034 | − | 0.344034i | 0.513848 | − | 0.857881i | \(-0.328220\pi\) |
−0.857881 | + | 0.513848i | \(0.828220\pi\) | |||||||
\(398\) | 0.0677527 | + | 0.0677527i | 0.00339613 | + | 0.00339613i | ||||
\(399\) | −1.06305 | − | 1.00907i | −0.0532190 | − | 0.0505167i | ||||
\(400\) | −13.9854 | − | 8.07447i | −0.699270 | − | 0.403723i | ||||
\(401\) | 7.43497 | + | 1.99219i | 0.371284 | + | 0.0994854i | 0.439636 | − | 0.898176i | \(-0.355107\pi\) |
−0.0683518 | + | 0.997661i | \(0.521774\pi\) | |||||||
\(402\) | −9.36665 | − | 16.2235i | −0.467166 | − | 0.809155i | ||||
\(403\) | −27.3175 | − | 12.9522i | −1.36078 | − | 0.645196i | ||||
\(404\) | 1.75054 | + | 1.01067i | 0.0870924 | + | 0.0502828i | ||||
\(405\) | 0.109857 | + | 0.409991i | 0.00545883 | + | 0.0203726i | ||||
\(406\) | 15.1596 | + | 14.3898i | 0.752357 | + | 0.714156i | ||||
\(407\) | −7.28323 | + | 4.20497i | −0.361016 | + | 0.208433i | ||||
\(408\) | 20.0760 | − | 5.37936i | 0.993912 | − | 0.266318i | ||||
\(409\) | 0.799116 | + | 2.98234i | 0.0395137 | + | 0.147467i | 0.982864 | − | 0.184330i | \(-0.0590116\pi\) |
−0.943351 | + | 0.331798i | \(0.892345\pi\) | |||||||
\(410\) | −0.241744 | − | 0.902201i | −0.0119389 | − | 0.0445565i | ||||
\(411\) | 14.0376 | − | 3.76136i | 0.692423 | − | 0.185534i | ||||
\(412\) | −2.53112 | + | 1.46134i | −0.124699 | + | 0.0719952i | ||||
\(413\) | 17.3448 | − | 5.13519i | 0.853483 | − | 0.252686i | ||||
\(414\) | −2.65877 | − | 9.92265i | −0.130671 | − | 0.487672i | ||||
\(415\) | 1.17673 | + | 0.679384i | 0.0577633 | + | 0.0333496i | ||||
\(416\) | −5.73406 | + | 0.464643i | −0.281135 | + | 0.0227810i | ||||
\(417\) | 5.85922 | + | 10.1485i | 0.286927 | + | 0.496973i | ||||
\(418\) | −0.982904 | − | 0.263368i | −0.0480754 | − | 0.0128818i | ||||
\(419\) | 2.29397 | + | 1.32442i | 0.112068 | + | 0.0647023i | 0.554986 | − | 0.831860i | \(-0.312724\pi\) |
−0.442918 | + | 0.896562i | \(0.646057\pi\) | |||||||
\(420\) | 0.310462 | + | 0.0745804i | 0.0151490 | + | 0.00363915i | ||||
\(421\) | 8.96466 | + | 8.96466i | 0.436911 | + | 0.436911i | 0.890971 | − | 0.454060i | \(-0.150025\pi\) |
−0.454060 | + | 0.890971i | \(0.650025\pi\) | |||||||
\(422\) | 19.2160 | + | 19.2160i | 0.935418 | + | 0.935418i | ||||
\(423\) | −9.79969 | + | 2.62582i | −0.476477 | + | 0.127672i | ||||
\(424\) | −21.8414 | − | 5.85237i | −1.06071 | − | 0.284216i | ||||
\(425\) | 33.4804i | 1.62404i | ||||||||
\(426\) | −2.53687 | + | 4.39398i | −0.122912 | + | 0.212889i | ||||
\(427\) | −0.189982 | − | 7.29326i | −0.00919386 | − | 0.352945i | ||||
\(428\) | − | 1.27783i | − | 0.0617663i | ||||||
\(429\) | −2.87350 | − | 4.16030i | −0.138734 | − | 0.200861i | ||||
\(430\) | −3.61095 | + | 2.08478i | −0.174136 | + | 0.100537i | ||||
\(431\) | −8.20245 | − | 8.20245i | −0.395098 | − | 0.395098i | 0.481402 | − | 0.876500i | \(-0.340128\pi\) |
−0.876500 | + | 0.481402i | \(0.840128\pi\) | |||||||
\(432\) | −2.90163 | + | 1.67526i | −0.139605 | + | 0.0806009i | ||||
\(433\) | 1.08503 | + | 1.87932i | 0.0521430 | + | 0.0903143i | 0.890919 | − | 0.454163i | \(-0.150062\pi\) |
−0.838776 | + | 0.544477i | \(0.816728\pi\) | |||||||
\(434\) | −13.8689 | + | 25.5350i | −0.665728 | + | 1.22572i | ||||
\(435\) | 0.662585 | − | 2.47280i | 0.0317685 | − | 0.118562i | ||||
\(436\) | 0.912715 | − | 0.912715i | 0.0437111 | − | 0.0437111i | ||||
\(437\) | 1.12450 | − | 4.19670i | 0.0537923 | − | 0.200755i | ||||
\(438\) | 7.50661 | − | 13.0018i | 0.358680 | − | 0.621251i | ||||
\(439\) | 10.3681 | + | 17.9580i | 0.494840 | + | 0.857088i | 0.999982 | − | 0.00594789i | \(-0.00189328\pi\) |
−0.505142 | + | 0.863036i | \(0.668560\pi\) | |||||||
\(440\) | 1.72029 | − | 0.460950i | 0.0820116 | − | 0.0219749i | ||||
\(441\) | −6.99051 | + | 0.364438i | −0.332881 | + | 0.0173542i | ||||
\(442\) | −18.6439 | − | 26.9929i | −0.886798 | − | 1.28392i | ||||
\(443\) | −9.36776 | + | 16.2254i | −0.445075 | + | 0.770893i | −0.998057 | − | 0.0622999i | \(-0.980156\pi\) |
0.552982 | + | 0.833193i | \(0.313490\pi\) | |||||||
\(444\) | −1.20570 | + | 1.20570i | −0.0572199 | + | 0.0572199i | ||||
\(445\) | 4.91792 | 0.233132 | ||||||||
\(446\) | −0.143561 | −0.00679782 | ||||||||
\(447\) | 4.46306 | − | 4.46306i | 0.211096 | − | 0.211096i | ||||
\(448\) | 0.605659 | + | 23.2508i | 0.0286147 | + | 1.09850i | ||||
\(449\) | 14.2069 | + | 3.80673i | 0.670465 | + | 0.179651i | 0.577964 | − | 0.816062i | \(-0.303847\pi\) |
0.0925007 | + | 0.995713i | \(0.470514\pi\) | |||||||
\(450\) | −1.63398 | − | 6.09809i | −0.0770265 | − | 0.287467i | ||||
\(451\) | −2.04029 | − | 1.17796i | −0.0960737 | − | 0.0554682i | ||||
\(452\) | − | 1.94233i | − | 0.0913596i | ||||||
\(453\) | 1.46708 | − | 5.47520i | 0.0689292 | − | 0.257247i | ||||
\(454\) | 4.12822 | 0.193747 | ||||||||
\(455\) | −0.432012 | − | 4.02592i | −0.0202530 | − | 0.188738i | ||||
\(456\) | −1.65758 | −0.0776231 | ||||||||
\(457\) | 6.29166 | − | 23.4808i | 0.294312 | − | 1.09839i | −0.647451 | − | 0.762107i | \(-0.724165\pi\) |
0.941762 | − | 0.336279i | \(-0.109168\pi\) | |||||||
\(458\) | 20.9974i | 0.981145i | ||||||||
\(459\) | 6.01574 | + | 3.47319i | 0.280791 | + | 0.162115i | ||||
\(460\) | 0.244966 | + | 0.914225i | 0.0114216 | + | 0.0426259i | ||||
\(461\) | 3.71656 | + | 0.995848i | 0.173097 | + | 0.0463813i | 0.344327 | − | 0.938850i | \(-0.388107\pi\) |
−0.171229 | + | 0.985231i | \(0.554774\pi\) | |||||||
\(462\) | −4.14401 | + | 2.53867i | −0.192797 | + | 0.118110i | ||||
\(463\) | −4.99628 | + | 4.99628i | −0.232197 | + | 0.232197i | −0.813609 | − | 0.581412i | \(-0.802500\pi\) |
0.581412 | + | 0.813609i | \(0.302500\pi\) | |||||||
\(464\) | 20.2081 | 0.938138 | ||||||||
\(465\) | 3.55905 | 0.165047 | ||||||||
\(466\) | −23.3745 | + | 23.3745i | −1.08280 | + | 1.08280i | ||||
\(467\) | −4.32120 | + | 7.48453i | −0.199961 | + | 0.346343i | −0.948516 | − | 0.316731i | \(-0.897415\pi\) |
0.748554 | + | 0.663073i | \(0.230748\pi\) | |||||||
\(468\) | −0.781063 | − | 0.663969i | −0.0361046 | − | 0.0306920i | ||||
\(469\) | −27.4442 | − | 26.0507i | −1.26726 | − | 1.20291i | ||||
\(470\) | −5.44830 | + | 1.45987i | −0.251311 | + | 0.0673387i | ||||
\(471\) | −2.33897 | − | 4.05121i | −0.107774 | − | 0.186670i | ||||
\(472\) | 10.2285 | − | 17.7163i | 0.470805 | − | 0.815457i | ||||
\(473\) | −2.72201 | + | 10.1587i | −0.125158 | + | 0.467097i | ||||
\(474\) | −8.01523 | + | 8.01523i | −0.368152 | + | 0.368152i | ||||
\(475\) | 0.691077 | − | 2.57914i | 0.0317088 | − | 0.118339i | ||||
\(476\) | 4.45576 | − | 2.72965i | 0.204229 | − | 0.125114i | ||||
\(477\) | −3.77860 | − | 6.54472i | −0.173010 | − | 0.299662i | ||||
\(478\) | −5.76742 | + | 3.32982i | −0.263796 | + | 0.152303i | ||||
\(479\) | 17.9806 | + | 17.9806i | 0.821553 | + | 0.821553i | 0.986331 | − | 0.164778i | \(-0.0526906\pi\) |
−0.164778 | + | 0.986331i | \(0.552691\pi\) | |||||||
\(480\) | 0.586507 | − | 0.338620i | 0.0267703 | − | 0.0154558i | ||||
\(481\) | 19.5380 | + | 9.26367i | 0.890855 | + | 0.422387i | ||||
\(482\) | 3.99176i | 0.181820i | ||||||||
\(483\) | −10.8394 | − | 17.6937i | −0.493208 | − | 0.805089i | ||||
\(484\) | −1.28421 | + | 2.22432i | −0.0583732 | + | 0.101105i | ||||
\(485\) | − | 6.84228i | − | 0.310692i | ||||||
\(486\) | −1.26521 | − | 0.339011i | −0.0573910 | − | 0.0153779i | ||||
\(487\) | 17.9059 | − | 4.79787i | 0.811393 | − | 0.217412i | 0.170813 | − | 0.985303i | \(-0.445361\pi\) |
0.640580 | + | 0.767891i | \(0.278694\pi\) | |||||||
\(488\) | −5.83418 | − | 5.83418i | −0.264101 | − | 0.264101i | ||||
\(489\) | −8.51303 | − | 8.51303i | −0.384972 | − | 0.384972i | ||||
\(490\) | −3.88649 | + | 0.202615i | −0.175574 | + | 0.00915323i | ||||
\(491\) | −25.0489 | − | 14.4620i | −1.13044 | − | 0.652661i | −0.186396 | − | 0.982475i | \(-0.559681\pi\) |
−0.944046 | + | 0.329814i | \(0.893014\pi\) | |||||||
\(492\) | −0.461388 | − | 0.123629i | −0.0208010 | − | 0.00557360i | ||||
\(493\) | −20.9480 | − | 36.2830i | −0.943452 | − | 1.63411i | ||||
\(494\) | 0.879047 | + | 2.46420i | 0.0395502 | + | 0.110870i | ||||
\(495\) | 0.515482 | + | 0.297614i | 0.0231692 | + | 0.0133767i | ||||
\(496\) | 7.27127 | + | 27.1368i | 0.326490 | + | 1.21848i | ||||
\(497\) | −2.39382 | + | 9.96497i | −0.107377 | + | 0.446990i | ||||
\(498\) | −3.63130 | + | 2.09653i | −0.162723 | + | 0.0939479i | ||||
\(499\) | 27.9464 | − | 7.48822i | 1.25105 | − | 0.335219i | 0.428310 | − | 0.903632i | \(-0.359109\pi\) |
0.822743 | + | 0.568413i | \(0.192443\pi\) | |||||||
\(500\) | 0.306721 | + | 1.14470i | 0.0137170 | + | 0.0511925i | ||||
\(501\) | −0.581223 | − | 2.16916i | −0.0259671 | − | 0.0969107i | ||||
\(502\) | 9.17213 | − | 2.45767i | 0.409372 | − | 0.109691i | ||||
\(503\) | −4.27955 | + | 2.47080i | −0.190816 | + | 0.110168i | −0.592364 | − | 0.805670i | \(-0.701805\pi\) |
0.401549 | + | 0.915838i | \(0.368472\pi\) | |||||||
\(504\) | −5.45003 | + | 5.74156i | −0.242764 | + | 0.255750i | ||||
\(505\) | 0.781009 | + | 2.91476i | 0.0347544 | + | 0.129705i | ||||
\(506\) | −12.4757 | − | 7.20287i | −0.554614 | − | 0.320207i | ||||
\(507\) | −4.60253 | + | 12.1580i | −0.204405 | + | 0.539955i | ||||
\(508\) | 0.119477 | + | 0.206940i | 0.00530094 | + | 0.00918149i | ||||
\(509\) | −0.759004 | − | 0.203374i | −0.0336422 | − | 0.00901441i | 0.241959 | − | 0.970287i | \(-0.422210\pi\) |
−0.275601 | + | 0.961272i | \(0.588877\pi\) | |||||||
\(510\) | 3.34455 | + | 1.93098i | 0.148099 | + | 0.0855052i | ||||
\(511\) | 7.08333 | − | 29.4864i | 0.313348 | − | 1.30440i | ||||
\(512\) | 17.9577 | + | 17.9577i | 0.793626 | + | 0.793626i | ||||
\(513\) | −0.391726 | − | 0.391726i | −0.0172951 | − | 0.0172951i | ||||
\(514\) | 14.5081 | − | 3.88742i | 0.639923 | − | 0.171467i | ||||
\(515\) | −4.21449 | − | 1.12927i | −0.185713 | − | 0.0497615i | ||||
\(516\) | 2.13233i | 0.0938706i | ||||||||
\(517\) | −7.11361 | + | 12.3211i | −0.312856 | + | 0.541883i | ||||
\(518\) | 9.91929 | − | 18.2631i | 0.435829 | − | 0.802435i | ||||
\(519\) | 11.6417i | 0.511015i | ||||||||
\(520\) | −3.48883 | − | 2.96580i | −0.152995 | − | 0.130059i | ||||
\(521\) | −19.1469 | + | 11.0545i | −0.838840 | + | 0.484304i | −0.856870 | − | 0.515533i | \(-0.827594\pi\) |
0.0180299 | + | 0.999837i | \(0.494261\pi\) | |||||||
\(522\) | 5.58621 | + | 5.58621i | 0.244502 | + | 0.244502i | ||||
\(523\) | 24.4522 | − | 14.1175i | 1.06922 | − | 0.617316i | 0.141253 | − | 0.989973i | \(-0.454887\pi\) |
0.927969 | + | 0.372658i | \(0.121553\pi\) | |||||||
\(524\) | −2.57133 | − | 4.45368i | −0.112329 | − | 0.194560i | ||||
\(525\) | −6.66146 | − | 10.8739i | −0.290730 | − | 0.474574i | ||||
\(526\) | 5.62342 | − | 20.9869i | 0.245193 | − | 0.915072i | ||||
\(527\) | 41.1857 | − | 41.1857i | 1.79408 | − | 1.79408i | ||||
\(528\) | −1.21607 | + | 4.53844i | −0.0529228 | + | 0.197510i | ||||
\(529\) | 19.2541 | − | 33.3490i | 0.837134 | − | 1.44996i | ||||
\(530\) | −2.10077 | − | 3.63865i | −0.0912518 | − | 0.158053i | ||||
\(531\) | 6.60405 | − | 1.76955i | 0.286591 | − | 0.0767919i | ||||
\(532\) | −0.399589 | + | 0.118304i | −0.0173244 | + | 0.00512913i | ||||
\(533\) | 0.489235 | + | 6.03755i | 0.0211911 | + | 0.261516i | ||||
\(534\) | −7.58819 | + | 13.1431i | −0.328373 | + | 0.568759i | ||||
\(535\) | 1.34889 | − | 1.34889i | 0.0583178 | − | 0.0583178i | ||||
\(536\) | −42.7929 | −1.84837 | ||||||||
\(537\) | 18.9048 | 0.815803 | ||||||||
\(538\) | 8.70512 | − | 8.70512i | 0.375305 | − | 0.375305i | ||||
\(539\) | −6.57041 | + | 7.29317i | −0.283008 | + | 0.314139i | ||||
\(540\) | 0.116570 | + | 0.0312348i | 0.00501637 | + | 0.00134413i | ||||
\(541\) | −0.320344 | − | 1.19554i | −0.0137727 | − | 0.0514003i | 0.958698 | − | 0.284428i | \(-0.0918035\pi\) |
−0.972470 | + | 0.233027i | \(0.925137\pi\) | |||||||
\(542\) | −26.7866 | − | 15.4653i | −1.15058 | − | 0.664290i | ||||
\(543\) | − | 0.400647i | − | 0.0171934i | ||||||
\(544\) | 2.86858 | − | 10.7057i | 0.122989 | − | 0.459002i | ||||
\(545\) | 1.92694 | 0.0825412 | ||||||||
\(546\) | 11.4259 | + | 5.05732i | 0.488981 | + | 0.216433i | ||||
\(547\) | 1.83004 | 0.0782468 | 0.0391234 | − | 0.999234i | \(-0.487543\pi\) | ||||
0.0391234 | + | 0.999234i | \(0.487543\pi\) | |||||||
\(548\) | 1.06944 | − | 3.99121i | 0.0456842 | − | 0.170496i | ||||
\(549\) | − | 2.75753i | − | 0.117688i | ||||||
\(550\) | −7.66713 | − | 4.42662i | −0.326927 | − | 0.188752i | ||||
\(551\) | 0.864786 | + | 3.22742i | 0.0368411 | + | 0.137493i | ||||
\(552\) | −22.6665 | − | 6.07348i | −0.964752 | − | 0.258505i | ||||
\(553\) | −10.9278 | + | 20.1200i | −0.464699 | + | 0.855590i | ||||
\(554\) | −7.25216 | + | 7.25216i | −0.308115 | + | 0.308115i | ||||
\(555\) | −2.54550 | −0.108050 | ||||||||
\(556\) | 3.33182 | 0.141301 | ||||||||
\(557\) | 9.30100 | − | 9.30100i | 0.394096 | − | 0.394096i | −0.482049 | − | 0.876144i | \(-0.660107\pi\) |
0.876144 | + | 0.482049i | \(0.160107\pi\) | |||||||
\(558\) | −5.49149 | + | 9.51155i | −0.232474 | + | 0.402656i | ||||
\(559\) | 25.4685 | − | 9.08529i | 1.07720 | − | 0.384267i | ||||
\(560\) | −2.59040 | + | 2.72896i | −0.109464 | + | 0.115320i | ||||
\(561\) | 9.40923 | − | 2.52120i | 0.397258 | − | 0.106445i | ||||
\(562\) | 7.04341 | + | 12.1995i | 0.297108 | + | 0.514607i | ||||
\(563\) | 5.33175 | − | 9.23486i | 0.224706 | − | 0.389203i | −0.731525 | − | 0.681815i | \(-0.761191\pi\) |
0.956231 | + | 0.292612i | \(0.0945244\pi\) | |||||||
\(564\) | −0.746580 | + | 2.78628i | −0.0314367 | + | 0.117323i | ||||
\(565\) | 2.05035 | − | 2.05035i | 0.0862588 | − | 0.0862588i | ||||
\(566\) | 4.43831 | − | 16.5640i | 0.186556 | − | 0.696237i | ||||
\(567\) | −2.64485 | + | 0.0688957i | −0.111073 | + | 0.00289335i | ||||
\(568\) | 5.79502 | + | 10.0373i | 0.243154 | + | 0.421154i | ||||
\(569\) | −28.8942 | + | 16.6821i | −1.21131 | + | 0.699349i | −0.963044 | − | 0.269343i | \(-0.913193\pi\) |
−0.248264 | + | 0.968692i | \(0.579860\pi\) | |||||||
\(570\) | −0.217787 | − | 0.217787i | −0.00912209 | − | 0.00912209i | ||||
\(571\) | −15.3066 | + | 8.83728i | −0.640562 | + | 0.369829i | −0.784831 | − | 0.619710i | \(-0.787250\pi\) |
0.144269 | + | 0.989539i | \(0.453917\pi\) | |||||||
\(572\) | −1.43289 | + | 0.116110i | −0.0599123 | + | 0.00485482i | ||||
\(573\) | − | 10.2522i | − | 0.428293i | ||||||
\(574\) | 5.82009 | − | 0.151607i | 0.242926 | − | 0.00632797i | ||||
\(575\) | 18.9003 | − | 32.7363i | 0.788197 | − | 1.36520i | ||||
\(576\) | 8.79095i | 0.366290i | ||||||||
\(577\) | 1.58119 | + | 0.423680i | 0.0658260 | + | 0.0176380i | 0.291582 | − | 0.956546i | \(-0.405818\pi\) |
−0.225756 | + | 0.974184i | \(0.572485\pi\) | |||||||
\(578\) | 39.5406 | − | 10.5949i | 1.64467 | − | 0.440688i | ||||
\(579\) | 6.33761 | + | 6.33761i | 0.263382 | + | 0.263382i | ||||
\(580\) | −0.514686 | − | 0.514686i | −0.0213712 | − | 0.0213712i | ||||
\(581\) | −5.83093 | + | 6.14284i | −0.241908 | + | 0.254848i | ||||
\(582\) | 18.2860 | + | 10.5574i | 0.757979 | + | 0.437619i | ||||
\(583\) | −10.2366 | − | 2.74289i | −0.423957 | − | 0.113599i | ||||
\(584\) | −17.1475 | − | 29.7004i | −0.709569 | − | 1.22901i | ||||
\(585\) | −0.123606 | − | 1.52539i | −0.00511046 | − | 0.0630672i | ||||
\(586\) | −7.17912 | − | 4.14487i | −0.296567 | − | 0.171223i | ||||
\(587\) | −0.520017 | − | 1.94073i | −0.0214634 | − | 0.0801025i | 0.954363 | − | 0.298648i | \(-0.0965355\pi\) |
−0.975827 | + | 0.218545i | \(0.929869\pi\) | |||||||
\(588\) | −0.904045 | + | 1.77309i | −0.0372822 | + | 0.0731209i | ||||
\(589\) | −4.02283 | + | 2.32258i | −0.165758 | + | 0.0957003i | ||||
\(590\) | 3.67163 | − | 0.983810i | 0.151159 | − | 0.0405028i | ||||
\(591\) | −1.08328 | − | 4.04286i | −0.0445603 | − | 0.166301i | ||||
\(592\) | −5.20055 | − | 19.4087i | −0.213741 | − | 0.797693i | ||||
\(593\) | 43.9632 | − | 11.7799i | 1.80535 | − | 0.483743i | 0.810561 | − | 0.585655i | \(-0.199163\pi\) |
0.994793 | + | 0.101912i | \(0.0324959\pi\) | |||||||
\(594\) | −1.59074 | + | 0.918416i | −0.0652690 | + | 0.0376831i | ||||
\(595\) | 7.58501 | + | 1.82210i | 0.310955 | + | 0.0746987i | ||||
\(596\) | −0.464468 | − | 1.73342i | −0.0190254 | − | 0.0710037i | ||||
\(597\) | 0.0633511 | + | 0.0365758i | 0.00259279 | + | 0.00149695i | ||||
\(598\) | 2.99152 | + | 36.9177i | 0.122332 | + | 1.50968i | ||||
\(599\) | 19.7690 | + | 34.2408i | 0.807738 | + | 1.39904i | 0.914427 | + | 0.404751i | \(0.132642\pi\) |
−0.106689 | + | 0.994292i | \(0.534025\pi\) | |||||||
\(600\) | −13.9300 | − | 3.73254i | −0.568690 | − | 0.152380i | ||||
\(601\) | 0.950504 | + | 0.548773i | 0.0387718 | + | 0.0223849i | 0.519261 | − | 0.854616i | \(-0.326207\pi\) |
−0.480489 | + | 0.877001i | \(0.659541\pi\) | |||||||
\(602\) | −7.37820 | − | 24.9209i | −0.300713 | − | 1.01570i | ||||
\(603\) | −10.1130 | − | 10.1130i | −0.411834 | − | 0.411834i | ||||
\(604\) | −1.13960 | − | 1.13960i | −0.0463697 | − | 0.0463697i | ||||
\(605\) | −3.70364 | + | 0.992387i | −0.150574 | + | 0.0403463i | ||||
\(606\) | −8.99477 | − | 2.41014i | −0.365388 | − | 0.0979053i | ||||
\(607\) | 15.6138i | 0.633746i | 0.948468 | + | 0.316873i | \(0.102633\pi\) | ||||
−0.948468 | + | 0.316873i | \(0.897367\pi\) | |||||||
\(608\) | −0.441957 | + | 0.765492i | −0.0179237 | + | 0.0310448i | ||||
\(609\) | 14.0226 | + | 7.61615i | 0.568226 | + | 0.308622i | ||||
\(610\) | − | 1.53309i | − | 0.0620731i | ||||||
\(611\) | 36.4602 | − | 2.95444i | 1.47502 | − | 0.119524i | ||||
\(612\) | 1.71041 | − | 0.987508i | 0.0691394 | − | 0.0399176i | ||||
\(613\) | 18.8715 | + | 18.8715i | 0.762212 | + | 0.762212i | 0.976722 | − | 0.214510i | \(-0.0688154\pi\) |
−0.214510 | + | 0.976722i | \(0.568815\pi\) | |||||||
\(614\) | −1.49337 | + | 0.862197i | −0.0602674 | + | 0.0347954i | ||||
\(615\) | −0.356543 | − | 0.617550i | −0.0143772 | − | 0.0249020i | ||||
\(616\) | 0.289081 | + | 11.0976i | 0.0116474 | + | 0.447135i | ||||
\(617\) | −2.13161 | + | 7.95529i | −0.0858155 | + | 0.320268i | −0.995467 | − | 0.0951036i | \(-0.969682\pi\) |
0.909652 | + | 0.415372i | \(0.136348\pi\) | |||||||
\(618\) | 9.52079 | − | 9.52079i | 0.382982 | − | 0.382982i | ||||
\(619\) | 5.86882 | − | 21.9027i | 0.235888 | − | 0.880346i | −0.741859 | − | 0.670556i | \(-0.766055\pi\) |
0.977747 | − | 0.209789i | \(-0.0672779\pi\) | |||||||
\(620\) | 0.505959 | − | 0.876347i | 0.0203198 | − | 0.0351950i | ||||
\(621\) | −3.92136 | − | 6.79199i | −0.157359 | − | 0.272553i | ||||
\(622\) | −38.6221 | + | 10.3488i | −1.54861 | + | 0.414948i | ||||
\(623\) | −7.16031 | + | 29.8069i | −0.286872 | + | 1.19419i | ||||
\(624\) | 11.3782 | − | 4.05890i | 0.455491 | − | 0.162486i | ||||
\(625\) | 11.1650 | − | 19.3384i | 0.446601 | − | 0.773535i | ||||
\(626\) | 17.0180 | − | 17.0180i | 0.680177 | − | 0.680177i | ||||
\(627\) | −0.776872 | −0.0310253 | ||||||||
\(628\) | −1.33005 | −0.0530746 | ||||||||
\(629\) | −29.4568 | + | 29.4568i | −1.17452 | + | 1.17452i | ||||
\(630\) | −1.47045 | + | 0.0383037i | −0.0585842 | + | 0.00152606i | ||||
\(631\) | 17.2097 | + | 4.61132i | 0.685106 | + | 0.183574i | 0.584550 | − | 0.811358i | \(-0.301271\pi\) |
0.100556 | + | 0.994931i | \(0.467938\pi\) | |||||||
\(632\) | 6.70169 | + | 25.0111i | 0.266579 | + | 0.994886i | ||||
\(633\) | 17.9676 | + | 10.3736i | 0.714148 | + | 0.412313i | ||||
\(634\) | 20.2528i | 0.804342i | ||||||||
\(635\) | −0.0923272 | + | 0.344570i | −0.00366389 | + | 0.0136738i | ||||
\(636\) | −2.14868 | −0.0852008 | ||||||||
\(637\) | 25.0296 | + | 3.24323i | 0.991709 | + | 0.128502i | ||||
\(638\) | 11.0786 | 0.438605 | ||||||||
\(639\) | −1.00255 | + | 3.74157i | −0.0396603 | + | 0.148014i | ||||
\(640\) | 3.53299i | 0.139654i | ||||||||
\(641\) | −19.9887 | − | 11.5405i | −0.789508 | − | 0.455822i | 0.0502815 | − | 0.998735i | \(-0.483988\pi\) |
−0.839789 | + | 0.542913i | \(0.817321\pi\) | |||||||
\(642\) | 1.52362 | + | 5.68622i | 0.0601324 | + | 0.224417i | ||||
\(643\) | 39.1565 | + | 10.4920i | 1.54418 | + | 0.413763i | 0.927615 | − | 0.373538i | \(-0.121856\pi\) |
0.616569 | + | 0.787301i | \(0.288522\pi\) | |||||||
\(644\) | −5.89766 | + | 0.153628i | −0.232400 | + | 0.00605379i | ||||
\(645\) | −2.25091 | + | 2.25091i | −0.0886296 | + | 0.0886296i | ||||
\(646\) | −5.04051 | −0.198316 | ||||||||
\(647\) | 32.3219 | 1.27071 | 0.635353 | − | 0.772222i | \(-0.280855\pi\) | ||||
0.635353 | + | 0.772222i | \(0.280855\pi\) | |||||||
\(648\) | −2.11573 | + | 2.11573i | −0.0831137 | + | 0.0831137i | ||||
\(649\) | 4.79389 | − | 8.30326i | 0.188177 | − | 0.325932i | ||||
\(650\) | 1.83847 | + | 22.6882i | 0.0721109 | + | 0.889906i | ||||
\(651\) | −5.18185 | + | 21.5709i | −0.203093 | + | 0.845432i | ||||
\(652\) | −3.30639 | + | 0.885946i | −0.129488 | + | 0.0346963i | ||||
\(653\) | −18.2866 | − | 31.6733i | −0.715610 | − | 1.23947i | −0.962724 | − | 0.270487i | \(-0.912815\pi\) |
0.247113 | − | 0.968987i | \(-0.420518\pi\) | |||||||
\(654\) | −2.97321 | + | 5.14976i | −0.116262 | + | 0.201371i | ||||
\(655\) | 1.98703 | − | 7.41569i | 0.0776396 | − | 0.289755i | ||||
\(656\) | 3.98022 | − | 3.98022i | 0.155401 | − | 0.155401i | ||||
\(657\) | 2.96655 | − | 11.0713i | 0.115736 | − | 0.431934i | ||||
\(658\) | −0.915542 | − | 35.1470i | −0.0356916 | − | 1.37017i | ||||
\(659\) | −21.1206 | − | 36.5820i | −0.822742 | − | 1.42503i | −0.903633 | − | 0.428308i | \(-0.859110\pi\) |
0.0808906 | − | 0.996723i | \(-0.474224\pi\) | |||||||
\(660\) | 0.146563 | − | 0.0846184i | 0.00570497 | − | 0.00329376i | ||||
\(661\) | 4.09559 | + | 4.09559i | 0.159300 | + | 0.159300i | 0.782256 | − | 0.622957i | \(-0.214069\pi\) |
−0.622957 | + | 0.782256i | \(0.714069\pi\) | |||||||
\(662\) | 30.2798 | − | 17.4821i | 1.17686 | − | 0.679459i | ||||
\(663\) | −19.0824 | − | 16.2216i | −0.741099 | − | 0.629996i | ||||
\(664\) | 9.57832i | 0.371711i | ||||||||
\(665\) | −0.546694 | − | 0.296927i | −0.0211999 | − | 0.0115144i | ||||
\(666\) | 3.92762 | − | 6.80283i | 0.152192 | − | 0.263604i | ||||
\(667\) | 47.3021i | 1.83155i | ||||||||
\(668\) | −0.616740 | − | 0.165255i | −0.0238624 | − | 0.00639391i | ||||
\(669\) | −0.105868 | + | 0.0283672i | −0.00409308 | + | 0.00109674i | ||||
\(670\) | −5.62251 | − | 5.62251i | −0.217216 | − | 0.217216i | ||||
\(671\) | −2.73436 | − | 2.73436i | −0.105559 | − | 0.105559i | ||||
\(672\) | 1.19840 | + | 4.04777i | 0.0462293 | + | 0.156146i | ||||
\(673\) | −36.4698 | − | 21.0558i | −1.40581 | − | 0.811642i | −0.410826 | − | 0.911714i | \(-0.634760\pi\) |
−0.994980 | + | 0.100071i | \(0.968093\pi\) | |||||||
\(674\) | −32.1113 | − | 8.60419i | −1.23688 | − | 0.331421i | ||||
\(675\) | −2.40992 | − | 4.17410i | −0.0927578 | − | 0.160661i | ||||
\(676\) | 2.33937 | + | 2.86168i | 0.0899758 | + | 0.110065i | ||||
\(677\) | 0.771810 | + | 0.445605i | 0.0296631 | + | 0.0171260i | 0.514758 | − | 0.857335i | \(-0.327882\pi\) |
−0.485095 | + | 0.874461i | \(0.661215\pi\) | |||||||
\(678\) | 2.31593 | + | 8.64317i | 0.0889428 | + | 0.331939i | ||||
\(679\) | 41.4702 | + | 9.96212i | 1.59148 | + | 0.382311i | ||||
\(680\) | 7.64004 | − | 4.41098i | 0.292982 | − | 0.169153i | ||||
\(681\) | 3.04431 | − | 0.815721i | 0.116658 | − | 0.0312585i | ||||
\(682\) | 3.98629 | + | 14.8770i | 0.152643 | + | 0.569671i | ||||
\(683\) | 3.30006 | + | 12.3160i | 0.126273 | + | 0.471258i | 0.999882 | − | 0.0153712i | \(-0.00489298\pi\) |
−0.873609 | + | 0.486629i | \(0.838226\pi\) | |||||||
\(684\) | −0.152144 | + | 0.0407667i | −0.00581735 | + | 0.00155876i | ||||
\(685\) | 5.34208 | − | 3.08425i | 0.204110 | − | 0.117843i | ||||
\(686\) | 4.43056 | − | 23.8505i | 0.169160 | − | 0.910617i | ||||
\(687\) | 4.14901 | + | 15.4843i | 0.158295 | + | 0.590763i | ||||
\(688\) | −21.7613 | − | 12.5639i | −0.829641 | − | 0.478994i | ||||
\(689\) | 9.15497 | + | 25.6638i | 0.348776 | + | 0.977714i | ||||
\(690\) | −2.18014 | − | 3.77612i | −0.0829966 | − | 0.143754i | ||||
\(691\) | 25.6335 | + | 6.86848i | 0.975144 | + | 0.261289i | 0.710998 | − | 0.703194i | \(-0.248243\pi\) |
0.264146 | + | 0.964483i | \(0.414910\pi\) | |||||||
\(692\) | 2.86655 | + | 1.65500i | 0.108970 | + | 0.0629138i | ||||
\(693\) | −2.55432 | + | 2.69096i | −0.0970307 | + | 0.102221i | ||||
\(694\) | 2.16140 | + | 2.16140i | 0.0820457 | + | 0.0820457i | ||||
\(695\) | 3.51711 | + | 3.51711i | 0.133412 | + | 0.133412i | ||||
\(696\) | 17.4314 | − | 4.67074i | 0.660737 | − | 0.177044i | ||||
\(697\) | −11.2723 | − | 3.02041i | −0.426969 | − | 0.114406i | ||||
\(698\) | 38.8497i | 1.47048i | ||||||||
\(699\) | −12.6185 | + | 21.8559i | −0.477277 | + | 0.826668i | ||||
\(700\) | −3.62448 | + | 0.0944140i | −0.136993 | + | 0.00356851i | ||||
\(701\) | 0.589627i | 0.0222699i | 0.999938 | + | 0.0111350i | \(0.00354444\pi\) | ||||
−0.999938 | + | 0.0111350i | \(0.996456\pi\) | |||||||
\(702\) | 4.26733 | + | 2.02329i | 0.161060 | + | 0.0763643i | ||||
\(703\) | 2.87720 | − | 1.66115i | 0.108516 | − | 0.0626515i | ||||
\(704\) | 8.71711 | + | 8.71711i | 0.328538 | + | 0.328538i | ||||
\(705\) | −3.72932 | + | 2.15313i | −0.140454 | + | 0.0810914i | ||||
\(706\) | 2.86078 | + | 4.95502i | 0.107667 | + | 0.186485i | ||||
\(707\) | −18.8031 | + | 0.489802i | −0.707165 | + | 0.0184209i | ||||
\(708\) | 0.503123 | − | 1.87768i | 0.0189085 | − | 0.0705676i | ||||
\(709\) | 2.50624 | − | 2.50624i | 0.0941240 | − | 0.0941240i | −0.658477 | − | 0.752601i | \(-0.728799\pi\) |
0.752601 | + | 0.658477i | \(0.228799\pi\) | |||||||
\(710\) | −0.557384 | + | 2.08019i | −0.0209183 | + | 0.0780680i | ||||
\(711\) | −4.32696 | + | 7.49452i | −0.162274 | + | 0.281066i | ||||
\(712\) | 17.3339 | + | 30.0231i | 0.649614 | + | 1.12516i | ||||
\(713\) | −63.5203 | + | 17.0202i | −2.37886 | + | 0.637412i | ||||
\(714\) | −16.5730 | + | 17.4595i | −0.620228 | + | 0.653405i | ||||
\(715\) | −1.63515 | − | 1.39001i | −0.0611510 | − | 0.0519835i | ||||
\(716\) | 2.68754 | − | 4.65495i | 0.100438 | − | 0.173964i | ||||
\(717\) | −3.59516 | + | 3.59516i | −0.134264 | + | 0.134264i | ||||
\(718\) | −28.0765 | −1.04780 | ||||||||
\(719\) | 7.80778 | 0.291181 | 0.145590 | − | 0.989345i | \(-0.453492\pi\) | ||||
0.145590 | + | 0.989345i | \(0.453492\pi\) | |||||||
\(720\) | −1.00561 | + | 1.00561i | −0.0374767 | + | 0.0374767i | ||||
\(721\) | 12.9805 | − | 23.8993i | 0.483419 | − | 0.890057i | ||||
\(722\) | −23.6506 | − | 6.33717i | −0.880186 | − | 0.235845i | ||||
\(723\) | 0.788756 | + | 2.94368i | 0.0293341 | + | 0.109476i | ||||
\(724\) | −0.0986517 | − | 0.0569566i | −0.00366636 | − | 0.00211678i | ||||
\(725\) | 29.0701i | 1.07964i | ||||||||
\(726\) | 3.06244 | − | 11.4292i | 0.113658 | − | 0.424177i | ||||
\(727\) | 7.63181 | 0.283048 | 0.141524 | − | 0.989935i | \(-0.454800\pi\) | ||||
0.141524 | + | 0.989935i | \(0.454800\pi\) | |||||||
\(728\) | 23.0550 | − | 16.8273i | 0.854474 | − | 0.623661i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 1.64930 | − | 6.15529i | 0.0610435 | − | 0.227817i | ||||
\(731\) | 52.0956i | 1.92683i | ||||||||
\(732\) | −0.678988 | − | 0.392014i | −0.0250961 | − | 0.0144893i | ||||
\(733\) | −3.23266 | − | 12.0644i | −0.119401 | − | 0.445610i | 0.880178 | − | 0.474645i | \(-0.157423\pi\) |
−0.999578 | + | 0.0290344i | \(0.990757\pi\) | |||||||
\(734\) | 15.9470 | + | 4.27299i | 0.588615 | + | 0.157719i | ||||
\(735\) | −2.82601 | + | 0.917372i | −0.104239 | + | 0.0338378i | ||||
\(736\) | −8.84837 | + | 8.84837i | −0.326155 | + | 0.326155i | ||||
\(737\) | −20.0562 | −0.738779 | ||||||||
\(738\) | 2.20054 | 0.0810028 | ||||||||
\(739\) | 13.2333 | − | 13.2333i | 0.486793 | − | 0.486793i | −0.420500 | − | 0.907293i | \(-0.638145\pi\) |
0.907293 | + | 0.420500i | \(0.138145\pi\) | |||||||
\(740\) | −0.361871 | + | 0.626780i | −0.0133027 | + | 0.0230409i | ||||
\(741\) | 1.13516 | + | 1.64350i | 0.0417012 | + | 0.0603756i | ||||
\(742\) | 25.1120 | − | 7.43478i | 0.921892 | − | 0.272939i | ||||
\(743\) | 15.7645 | − | 4.22409i | 0.578343 | − | 0.154967i | 0.0422231 | − | 0.999108i | \(-0.486556\pi\) |
0.536120 | + | 0.844142i | \(0.319889\pi\) | |||||||
\(744\) | 12.5443 | + | 21.7274i | 0.459898 | + | 0.796567i | ||||
\(745\) | 1.33952 | − | 2.32012i | 0.0490762 | − | 0.0850025i | ||||
\(746\) | 5.40706 | − | 20.1794i | 0.197967 | − | 0.738822i | ||||
\(747\) | −2.26360 | + | 2.26360i | −0.0828207 | + | 0.0828207i | ||||
\(748\) | 0.716834 | − | 2.67526i | 0.0262100 | − | 0.0978172i | ||||
\(749\) | 6.21154 | + | 10.1394i | 0.226965 | + | 0.370486i | ||||
\(750\) | −2.72975 | − | 4.72807i | −0.0996764 | − | 0.172645i | ||||
\(751\) | −1.65463 | + | 0.955303i | −0.0603784 | + | 0.0348595i | −0.529885 | − | 0.848069i | \(-0.677765\pi\) |
0.469507 | + | 0.882929i | \(0.344432\pi\) | |||||||
\(752\) | −24.0362 | − | 24.0362i | −0.876508 | − | 0.876508i | ||||
\(753\) | 6.27826 | − | 3.62476i | 0.228793 | − | 0.132093i | ||||
\(754\) | −16.1879 | − | 23.4371i | −0.589530 | − | 0.853530i | ||||
\(755\) | − | 2.40595i | − | 0.0875616i | ||||||
\(756\) | −0.359032 | + | 0.661039i | −0.0130579 | + | 0.0240418i | ||||
\(757\) | −25.6580 | + | 44.4410i | −0.932556 | + | 1.61523i | −0.153622 | + | 0.988130i | \(0.549094\pi\) |
−0.778935 | + | 0.627105i | \(0.784240\pi\) | |||||||
\(758\) | − | 44.8377i | − | 1.62858i | ||||||
\(759\) | −10.6234 | − | 2.84652i | −0.385603 | − | 0.103322i | ||||
\(760\) | −0.679592 | + | 0.182096i | −0.0246514 | + | 0.00660532i | ||||
\(761\) | −17.7121 | − | 17.7121i | −0.642064 | − | 0.642064i | 0.308998 | − | 0.951063i | \(-0.400006\pi\) |
−0.951063 | + | 0.308998i | \(0.900006\pi\) | |||||||
\(762\) | −0.778405 | − | 0.778405i | −0.0281986 | − | 0.0281986i | ||||
\(763\) | −2.80556 | + | 11.6790i | −0.101568 | + | 0.422807i | ||||
\(764\) | −2.52441 | − | 1.45747i | −0.0913301 | − | 0.0527295i | ||||
\(765\) | 2.84796 | + | 0.763108i | 0.102968 | + | 0.0275902i | ||||
\(766\) | 8.54586 | + | 14.8019i | 0.308774 | + | 0.534813i | ||||
\(767\) | −24.5707 | + | 1.99101i | −0.887195 | + | 0.0718912i | ||||
\(768\) | 5.78445 | + | 3.33965i | 0.208728 | + | 0.120509i | ||||
\(769\) | −10.9969 | − | 41.0409i | −0.396558 | − | 1.47997i | −0.819111 | − | 0.573635i | \(-0.805533\pi\) |
0.422553 | − | 0.906338i | \(-0.361134\pi\) | |||||||
\(770\) | −1.42012 | + | 1.49608i | −0.0511775 | + | 0.0539150i | ||||
\(771\) | 9.93067 | − | 5.73347i | 0.357644 | − | 0.206486i | ||||
\(772\) | 2.46148 | − | 0.659552i | 0.0885906 | − | 0.0237378i | ||||
\(773\) | −6.82449 | − | 25.4693i | −0.245460 | − | 0.916069i | −0.973152 | − | 0.230164i | \(-0.926074\pi\) |
0.727692 | − | 0.685904i | \(-0.240593\pi\) | |||||||
\(774\) | −2.54247 | − | 9.48864i | −0.0913873 | − | 0.341062i | ||||
\(775\) | −39.0372 | + | 10.4600i | −1.40226 | + | 0.375734i | ||||
\(776\) | 41.7711 | − | 24.1166i | 1.49950 | − | 0.865734i | ||||
\(777\) | 3.70615 | − | 15.4279i | 0.132957 | − | 0.553474i | ||||
\(778\) | 5.80341 | + | 21.6586i | 0.208062 | + | 0.776500i | ||||
\(779\) | 0.806008 | + | 0.465349i | 0.0288782 | + | 0.0166728i | ||||
\(780\) | −0.393171 | − | 0.186416i | −0.0140778 | − | 0.00667478i | ||||
\(781\) | 2.71601 | + | 4.70427i | 0.0971865 | + | 0.168332i | ||||
\(782\) | −68.9266 | − | 18.4688i | −2.46481 | − | 0.660444i | ||||
\(783\) | 5.22330 | + | 3.01567i | 0.186666 | + | 0.107771i | ||||
\(784\) | −12.7684 | − | 19.6733i | −0.456013 | − | 0.702619i | ||||
\(785\) | −1.40401 | − | 1.40401i | −0.0501113 | − | 0.0501113i | ||||
\(786\) | 16.7525 | + | 16.7525i | 0.597541 | + | 0.597541i | ||||
\(787\) | −51.2210 | + | 13.7246i | −1.82583 | + | 0.489230i | −0.997478 | − | 0.0709779i | \(-0.977388\pi\) |
−0.828352 | + | 0.560208i | \(0.810721\pi\) | |||||||
\(788\) | −1.14948 | − | 0.308002i | −0.0409485 | − | 0.0109721i | ||||
\(789\) | − | 16.5877i | − | 0.590538i | ||||||
\(790\) | −2.40565 | + | 4.16670i | −0.0855891 | + | 0.148245i | ||||
\(791\) | 9.44167 | + | 15.4121i | 0.335707 | + | 0.547993i | ||||
\(792\) | 4.19592i | 0.149095i | ||||||||
\(793\) | −1.78922 | + | 9.78009i | −0.0635370 | + | 0.347301i | ||||
\(794\) | 10.9966 | − | 6.34890i | 0.390256 | − | 0.225314i | ||||
\(795\) | −2.26817 | − | 2.26817i | −0.0804439 | − | 0.0804439i | ||||
\(796\) | 0.0180122 | − | 0.0103993i | 0.000638424 | − | 0.000368595i | ||||
\(797\) | −23.6844 | − | 41.0227i | −0.838946 | − | 1.45310i | −0.890777 | − | 0.454441i | \(-0.849839\pi\) |
0.0518307 | − | 0.998656i | \(-0.483494\pi\) | |||||||
\(798\) | 1.63707 | − | 1.00289i | 0.0579516 | − | 0.0355019i | ||||
\(799\) | −18.2399 | + | 68.0724i | −0.645283 | + | 2.40823i | ||||
\(800\) | −5.43788 | + | 5.43788i | −0.192258 | + | 0.192258i | ||||
\(801\) | −2.99879 | + | 11.1916i | −0.105957 | + | 0.395437i | ||||
\(802\) | −5.04107 | + | 8.73139i | −0.178006 | + | 0.308316i | ||||
\(803\) | −8.03670 | − | 13.9200i | −0.283609 | − | 0.491225i | ||||
\(804\) | −3.92782 | + | 1.05246i | −0.138524 | + | 0.0371173i | ||||
\(805\) | −6.38781 | − | 6.06347i | −0.225141 | − | 0.213709i | ||||
\(806\) | 25.6482 | − | 30.1713i | 0.903418 | − | 1.06274i | ||||
\(807\) | 4.69940 | − | 8.13960i | 0.165427 | − | 0.286527i | ||||
\(808\) | −15.0414 | + | 15.0414i | −0.529155 | + | 0.529155i | ||||
\(809\) | 11.7245 | 0.412213 | 0.206107 | − | 0.978530i | \(-0.433921\pi\) | ||||
0.206107 | + | 0.978530i | \(0.433921\pi\) | |||||||
\(810\) | −0.555967 | −0.0195347 | ||||||||
\(811\) | 9.09842 | − | 9.09842i | 0.319489 | − | 0.319489i | −0.529082 | − | 0.848571i | \(-0.677464\pi\) |
0.848571 | + | 0.529082i | \(0.177464\pi\) | |||||||
\(812\) | 3.86881 | − | 2.37008i | 0.135769 | − | 0.0831736i | ||||
\(813\) | −22.8094 | − | 6.11175i | −0.799959 | − | 0.214348i | ||||
\(814\) | −2.85107 | − | 10.6403i | −0.0999298 | − | 0.372943i | ||||
\(815\) | −4.42548 | − | 2.55505i | −0.155018 | − | 0.0894996i | ||||
\(816\) | 23.2740i | 0.814752i | ||||||||
\(817\) | 1.07532 | − | 4.01314i | 0.0376206 | − | 0.140402i | ||||
\(818\) | −4.04419 | −0.141402 | ||||||||
\(819\) | 9.42518 | + | 1.47176i | 0.329342 | + | 0.0514274i | ||||
\(820\) | −0.202747 | −0.00708022 | ||||||||
\(821\) | −12.4540 | + | 46.4790i | −0.434648 | + | 1.62213i | 0.307260 | + | 0.951626i | \(0.400588\pi\) |
−0.741908 | + | 0.670502i | \(0.766079\pi\) | |||||||
\(822\) | 19.0356i | 0.663943i | ||||||||
\(823\) | −14.2382 | − | 8.22041i | −0.496311 | − | 0.286545i | 0.230878 | − | 0.972983i | \(-0.425840\pi\) |
−0.727189 | + | 0.686437i | \(0.759174\pi\) | |||||||
\(824\) | −7.96052 | − | 29.7091i | −0.277318 | − | 1.03496i | ||||
\(825\) | −6.52872 | − | 1.74937i | −0.227301 | − | 0.0609051i | ||||
\(826\) | 0.616987 | + | 23.6857i | 0.0214677 | + | 0.824130i | ||||
\(827\) | 17.6849 | − | 17.6849i | 0.614966 | − | 0.614966i | −0.329270 | − | 0.944236i | \(-0.606803\pi\) |
0.944236 | + | 0.329270i | \(0.106803\pi\) | |||||||
\(828\) | −2.22986 | −0.0774931 | ||||||||
\(829\) | 34.9101 | 1.21248 | 0.606239 | − | 0.795283i | \(-0.292678\pi\) | ||||
0.606239 | + | 0.795283i | \(0.292678\pi\) | |||||||
\(830\) | −1.25848 | + | 1.25848i | −0.0436826 | + | 0.0436826i | ||||
\(831\) | −3.91502 | + | 6.78102i | −0.135811 | + | 0.235231i | ||||
\(832\) | 5.70400 | − | 31.1788i | 0.197750 | − | 1.08093i | ||||
\(833\) | −22.0870 | + | 43.3189i | −0.765269 | + | 1.50091i | ||||
\(834\) | −14.8263 | + | 3.97268i | −0.513391 | + | 0.137563i | ||||
\(835\) | −0.476593 | − | 0.825484i | −0.0164932 | − | 0.0285670i | ||||
\(836\) | −0.110441 | + | 0.191290i | −0.00381969 | + | 0.00661590i | ||||
\(837\) | −2.17020 | + | 8.09928i | −0.0750130 | + | 0.279952i | ||||
\(838\) | −2.45335 | + | 2.45335i | −0.0847496 | + | 0.0847496i | ||||
\(839\) | 11.7730 | − | 43.9373i | 0.406448 | − | 1.51689i | −0.394921 | − | 0.918715i | \(-0.629228\pi\) |
0.801369 | − | 0.598170i | \(-0.204105\pi\) | |||||||
\(840\) | −1.60372 | + | 2.95271i | −0.0553335 | + | 0.101878i | ||||
\(841\) | −3.68858 | − | 6.38881i | −0.127192 | − | 0.220304i | ||||
\(842\) | −14.3813 | + | 8.30303i | −0.495611 | + | 0.286141i | ||||
\(843\) | 7.60467 | + | 7.60467i | 0.261919 | + | 0.261919i | ||||
\(844\) | 5.10860 | − | 2.94945i | 0.175845 | − | 0.101524i | ||||
\(845\) | −0.551358 | + | 5.49029i | −0.0189673 | + | 0.188872i | ||||
\(846\) | − | 13.2888i | − | 0.456879i | ||||||
\(847\) | −0.622366 | − | 23.8922i | −0.0213848 | − | 0.820945i | ||||
\(848\) | 12.6602 | − | 21.9282i | 0.434754 | − | 0.753017i | ||||
\(849\) | − | 13.0919i | − | 0.449314i | ||||||
\(850\) | −42.3597 | − | 11.3502i | −1.45293 | − | 0.389310i | ||||
\(851\) | 45.4309 | − | 12.1732i | 1.55735 | − | 0.417291i | ||||
\(852\) | 0.778765 | + | 0.778765i | 0.0266801 | + | 0.0266801i | ||||
\(853\) | −21.3746 | − | 21.3746i | −0.731852 | − | 0.731852i | 0.239134 | − | 0.970987i | \(-0.423136\pi\) |
−0.970987 | + | 0.239134i | \(0.923136\pi\) | |||||||
\(854\) | 9.29188 | + | 2.23213i | 0.317962 | + | 0.0763819i | ||||
\(855\) | −0.203638 | − | 0.117571i | −0.00696428 | − | 0.00402083i | ||||
\(856\) | 12.9892 | + | 3.48043i | 0.443960 | + | 0.118959i | ||||
\(857\) | −25.9528 | − | 44.9515i | −0.886530 | − | 1.53552i | −0.843950 | − | 0.536422i | \(-0.819775\pi\) |
−0.0425805 | − | 0.999093i | \(-0.513558\pi\) | |||||||
\(858\) | 6.23778 | − | 2.22518i | 0.212954 | − | 0.0759665i | ||||
\(859\) | −38.6675 | − | 22.3247i | −1.31932 | − | 0.761708i | −0.335699 | − | 0.941969i | \(-0.608972\pi\) |
−0.983619 | + | 0.180261i | \(0.942306\pi\) | |||||||
\(860\) | 0.234251 | + | 0.874237i | 0.00798789 | + | 0.0298112i | ||||
\(861\) | 4.26201 | − | 1.26183i | 0.145249 | − | 0.0430030i | ||||
\(862\) | 13.1585 | − | 7.59707i | 0.448181 | − | 0.258757i | ||||
\(863\) | −36.1405 | + | 9.68381i | −1.23024 | + | 0.329641i | −0.814671 | − | 0.579923i | \(-0.803083\pi\) |
−0.415565 | + | 0.909564i | \(0.636416\pi\) | |||||||
\(864\) | 0.412960 | + | 1.54119i | 0.0140492 | + | 0.0524323i | ||||
\(865\) | 1.27892 | + | 4.77301i | 0.0434847 | + | 0.162287i | ||||
\(866\) | −2.74556 | + | 0.735671i | −0.0932980 | + | 0.0249991i | ||||
\(867\) | 27.0652 | − | 15.6261i | 0.919184 | − | 0.530691i | ||||
\(868\) | 4.57477 | + | 4.34249i | 0.155278 | + | 0.147394i | ||||
\(869\) | 3.14095 | + | 11.7222i | 0.106549 | + | 0.397648i | ||||
\(870\) | 2.90398 | + | 1.67661i | 0.0984542 | + | 0.0568425i | ||||
\(871\) | 29.3059 | + | 42.4296i | 0.992994 | + | 1.43767i | ||||
\(872\) | 6.79178 | + | 11.7637i | 0.229999 | + | 0.398369i | ||||
\(873\) | 15.5709 | + | 4.17221i | 0.526995 | + | 0.141208i | ||||
\(874\) | 4.92848 | + | 2.84546i | 0.166708 | + | 0.0962490i | ||||
\(875\) | −7.99816 | − | 7.59205i | −0.270387 | − | 0.256658i | ||||
\(876\) | −2.30437 | − | 2.30437i | −0.0778575 | − | 0.0778575i | ||||
\(877\) | 22.3960 | + | 22.3960i | 0.756258 | + | 0.756258i | 0.975639 | − | 0.219381i | \(-0.0704037\pi\) |
−0.219381 | + | 0.975639i | \(0.570404\pi\) | |||||||
\(878\) | −26.2355 | + | 7.02977i | −0.885404 | + | 0.237243i | ||||
\(879\) | −6.11317 | − | 1.63802i | −0.206192 | − | 0.0552490i | ||||
\(880\) | 1.99432i | 0.0672284i | ||||||||
\(881\) | 19.0003 | − | 32.9095i | 0.640138 | − | 1.10875i | −0.345264 | − | 0.938506i | \(-0.612211\pi\) |
0.985402 | − | 0.170245i | \(-0.0544560\pi\) | |||||||
\(882\) | 1.90877 | − | 8.96799i | 0.0642716 | − | 0.301968i | ||||
\(883\) | − | 17.8135i | − | 0.599473i | −0.954022 | − | 0.299736i | \(-0.903101\pi\) | ||
0.954022 | − | 0.299736i | \(-0.0968987\pi\) | |||||||
\(884\) | −6.70705 | + | 2.39258i | −0.225582 | + | 0.0804713i | ||||
\(885\) | 2.51321 | − | 1.45100i | 0.0844805 | − | 0.0487748i | ||||
\(886\) | −17.3528 | − | 17.3528i | −0.582977 | − | 0.582977i | ||||
\(887\) | −45.7859 | + | 26.4345i | −1.53734 | + | 0.887583i | −0.538345 | + | 0.842724i | \(0.680950\pi\) |
−0.998993 | + | 0.0448584i | \(0.985716\pi\) | |||||||
\(888\) | −8.97195 | − | 15.5399i | −0.301079 | − | 0.521484i | ||||
\(889\) | −1.95397 | − | 1.06127i | −0.0655340 | − | 0.0355937i | ||||
\(890\) | −1.66723 | + | 6.22218i | −0.0558856 | + | 0.208568i | ||||
\(891\) | −0.991601 | + | 0.991601i | −0.0332199 | + | 0.0332199i | ||||
\(892\) | −0.00806543 | + | 0.0301006i | −0.000270051 | + | 0.00100784i | ||||
\(893\) | 2.81019 | − | 4.86740i | 0.0940396 | − | 0.162881i | ||||
\(894\) | 4.13367 | + | 7.15973i | 0.138251 | + | 0.239457i | ||||
\(895\) | 7.75081 | − | 2.07682i | 0.259081 | − | 0.0694206i | ||||
\(896\) | −21.4130 | − | 5.14391i | −0.715359 | − | 0.171846i | ||||
\(897\) | 9.50085 | + | 26.6334i | 0.317224 | + | 0.889264i | ||||
\(898\) | −9.63260 | + | 16.6841i | −0.321444 | + | 0.556757i | ||||
\(899\) | 35.7604 | − | 35.7604i | 1.19268 | − | 1.19268i | ||||
\(900\) | −1.37039 | −0.0456797 | ||||||||
\(901\) | −52.4952 | −1.74887 | ||||||||
\(902\) | 2.18205 | − | 2.18205i | 0.0726544 | − | 0.0726544i | ||||
\(903\) | −10.3652 | − | 16.9197i | −0.344934 | − | 0.563054i | ||||
\(904\) | 19.7438 | + | 5.29034i | 0.656669 | + | 0.175954i | ||||
\(905\) | −0.0440139 | − | 0.164262i | −0.00146307 | − | 0.00546025i | ||||
\(906\) | 6.42991 | + | 3.71231i | 0.213619 | + | 0.123333i | ||||
\(907\) | 38.5375i | 1.27962i | 0.768535 | + | 0.639808i | \(0.220986\pi\) | ||||
−0.768535 | + | 0.639808i | \(0.779014\pi\) | |||||||
\(908\) | 0.231928 | − | 0.865568i | 0.00769681 | − | 0.0287249i | ||||
\(909\) | −7.10933 | −0.235802 | ||||||||
\(910\) | 5.24008 | + | 0.818249i | 0.173707 | + | 0.0271247i | ||||
\(911\) | −11.2153 | −0.371581 | −0.185790 | − | 0.982589i | \(-0.559485\pi\) | ||||
−0.185790 | + | 0.982589i | \(0.559485\pi\) | |||||||
\(912\) | 0.480403 | − | 1.79289i | 0.0159077 | − | 0.0593685i | ||||
\(913\) | 4.48917i | 0.148570i | ||||||||
\(914\) | 27.5751 | + | 15.9205i | 0.912105 | + | 0.526604i | ||||
\(915\) | −0.302933 | − | 1.13056i | −0.0100147 | − | 0.0373752i | ||||
\(916\) | 4.40255 | + | 1.17966i | 0.145464 | + | 0.0389770i | ||||
\(917\) | 42.0525 | + | 22.8401i | 1.38870 | + | 0.754246i | ||||
\(918\) | −6.43371 | + | 6.43371i | −0.212344 | + | 0.212344i | ||||
\(919\) | −46.1111 | −1.52106 | −0.760532 | − | 0.649300i | \(-0.775062\pi\) | ||||
−0.760532 | + | 0.649300i | \(0.775062\pi\) | |||||||
\(920\) | −9.96030 | −0.328381 | ||||||||
\(921\) | −0.930901 | + | 0.930901i | −0.0306742 | + | 0.0306742i | ||||
\(922\) | −2.51991 | + | 4.36461i | −0.0829888 | + | 0.143741i | ||||
\(923\) | 5.98344 | − | 12.6197i | 0.196947 | − | 0.415381i | ||||
\(924\) | 0.299470 | + | 1.01150i | 0.00985185 | + | 0.0332760i | ||||
\(925\) | 27.9202 | − | 7.48118i | 0.918009 | − | 0.245980i | ||||
\(926\) | −4.62753 | − | 8.01512i | −0.152070 | − | 0.263393i | ||||
\(927\) | 5.13973 | − | 8.90227i | 0.168811 | − | 0.292389i | ||||
\(928\) | 2.49071 | − | 9.29544i | 0.0817614 | − | 0.305138i | ||||
\(929\) | −0.905159 | + | 0.905159i | −0.0296973 | + | 0.0296973i | −0.721800 | − | 0.692102i | \(-0.756685\pi\) |
0.692102 | + | 0.721800i | \(0.256685\pi\) | |||||||
\(930\) | −1.20656 | + | 4.50293i | −0.0395646 | + | 0.147657i | ||||
\(931\) | 2.59561 | − | 2.88113i | 0.0850676 | − | 0.0944251i | ||||
\(932\) | 3.58774 | + | 6.21415i | 0.117520 | + | 0.203551i | ||||
\(933\) | −26.4366 | + | 15.2632i | −0.865495 | + | 0.499694i | ||||
\(934\) | −8.00455 | − | 8.00455i | −0.261917 | − | 0.261917i | ||||
\(935\) | 3.58073 | − | 2.06734i | 0.117103 | − | 0.0676092i | ||||
\(936\) | 8.87662 | − | 6.13105i | 0.290142 | − | 0.200399i | ||||
\(937\) | 33.7512i | 1.10261i | 0.834305 | + | 0.551303i | \(0.185869\pi\) | ||||
−0.834305 | + | 0.551303i | \(0.814131\pi\) | |||||||
\(938\) | 42.2635 | − | 25.8911i | 1.37995 | − | 0.845376i | ||||
\(939\) | 9.18705 | − | 15.9124i | 0.299808 | − | 0.519283i | ||||
\(940\) | 1.22437i | 0.0399344i | ||||||||
\(941\) | −36.5416 | − | 9.79130i | −1.19122 | − | 0.319187i | −0.391854 | − | 0.920027i | \(-0.628166\pi\) |
−0.799369 | + | 0.600840i | \(0.794833\pi\) | |||||||
\(942\) | 5.91856 | − | 1.58587i | 0.192837 | − | 0.0516706i | ||||
\(943\) | 9.31669 | + | 9.31669i | 0.303393 | + | 0.303393i | ||||
\(944\) | 16.1981 | + | 16.1981i | 0.527202 | + | 0.527202i | ||||
\(945\) | −1.07680 | + | 0.318802i | −0.0350283 | + | 0.0103706i | ||||
\(946\) | −11.9301 | − | 6.88782i | −0.387880 | − | 0.223942i | ||||
\(947\) | 11.8526 | + | 3.17589i | 0.385157 | + | 0.103202i | 0.446201 | − | 0.894933i | \(-0.352777\pi\) |
−0.0610446 | + | 0.998135i | \(0.519443\pi\) | |||||||
\(948\) | 1.23025 | + | 2.13086i | 0.0399568 | + | 0.0692072i | ||||
\(949\) | −17.7051 | + | 37.3417i | −0.574730 | + | 1.21216i | ||||
\(950\) | 3.02886 | + | 1.74871i | 0.0982691 | + | 0.0567357i | ||||
\(951\) | 4.00188 | + | 14.9352i | 0.129770 | + | 0.484307i | ||||
\(952\) | 15.6108 | + | 52.7276i | 0.505948 | + | 1.70891i | ||||
\(953\) | −22.7640 | + | 13.1428i | −0.737399 | + | 0.425738i | −0.821123 | − | 0.570751i | \(-0.806652\pi\) |
0.0837238 | + | 0.996489i | \(0.473319\pi\) | |||||||
\(954\) | 9.56141 | − | 2.56197i | 0.309562 | − | 0.0829469i | ||||
\(955\) | −1.12628 | − | 4.20332i | −0.0364455 | − | 0.136016i | ||||
\(956\) | 0.374146 | + | 1.39633i | 0.0121008 | + | 0.0451606i | ||||
\(957\) | 8.16977 | − | 2.18908i | 0.264091 | − | 0.0707630i | ||||
\(958\) | −28.8448 | + | 16.6535i | −0.931932 | + | 0.538051i | ||||
\(959\) | 10.9154 | + | 36.8682i | 0.352476 | + | 1.19054i | ||||
\(960\) | 0.965746 | + | 3.60421i | 0.0311693 | + | 0.116325i | ||||
\(961\) | 34.0418 | + | 19.6541i | 1.09812 | + | 0.634002i | ||||
\(962\) | −18.3440 | + | 21.5791i | −0.591436 | + | 0.695738i | ||||
\(963\) | 2.24715 | + | 3.89218i | 0.0724134 | + | 0.125424i | ||||
\(964\) | 0.836954 | + | 0.224261i | 0.0269565 | + | 0.00722297i | ||||
\(965\) | 3.29460 | + | 1.90214i | 0.106057 | + | 0.0612319i | ||||
\(966\) | 26.0608 | − | 7.71568i | 0.838492 | − | 0.248248i | ||||
\(967\) | 18.8266 | + | 18.8266i | 0.605423 | + | 0.605423i | 0.941747 | − | 0.336323i | \(-0.109184\pi\) |
−0.336323 | + | 0.941747i | \(0.609184\pi\) | |||||||
\(968\) | −19.1124 | − | 19.1124i | −0.614294 | − | 0.614294i | ||||
\(969\) | −3.71707 | + | 0.995985i | −0.119409 | + | 0.0319957i | ||||
\(970\) | 8.65690 | + | 2.31961i | 0.277956 | + | 0.0744782i | ||||
\(971\) | 17.5065i | 0.561811i | 0.959735 | + | 0.280905i | \(0.0906347\pi\) | ||||
−0.959735 | + | 0.280905i | \(0.909365\pi\) | |||||||
\(972\) | −0.142161 | + | 0.246231i | −0.00455983 | + | 0.00789786i | ||||
\(973\) | −26.4375 | + | 16.1960i | −0.847549 | + | 0.519219i | ||||
\(974\) | 24.2812i | 0.778019i | ||||||||
\(975\) | 5.83887 | + | 16.3679i | 0.186994 | + | 0.524193i | ||||
\(976\) | 8.00132 | − | 4.61957i | 0.256116 | − | 0.147869i | ||||
\(977\) | 12.3338 | + | 12.3338i | 0.394592 | + | 0.394592i | 0.876321 | − | 0.481728i | \(-0.159991\pi\) |
−0.481728 | + | 0.876321i | \(0.659991\pi\) | |||||||
\(978\) | 13.6568 | − | 7.88473i | 0.436695 | − | 0.252126i | ||||
\(979\) | 8.12404 | + | 14.0712i | 0.259645 | + | 0.449719i | ||||
\(980\) | −0.175865 | + | 0.826266i | −0.00561779 | + | 0.0263941i | ||||
\(981\) | −1.17499 | + | 4.38513i | −0.0375146 | + | 0.140006i | ||||
\(982\) | 26.7893 | − | 26.7893i | 0.854881 | − | 0.854881i | ||||
\(983\) | −9.67960 | + | 36.1248i | −0.308731 | + | 1.15220i | 0.620954 | + | 0.783847i | \(0.286745\pi\) |
−0.929685 | + | 0.368354i | \(0.879921\pi\) | |||||||
\(984\) | 2.51337 | − | 4.35328i | 0.0801232 | − | 0.138777i | ||||
\(985\) | −0.888273 | − | 1.53853i | −0.0283027 | − | 0.0490217i | ||||
\(986\) | 53.0072 | − | 14.2032i | 1.68809 | − | 0.452323i | ||||
\(987\) | −7.62006 | − | 25.7378i | −0.242549 | − | 0.819244i | ||||
\(988\) | 0.566057 | − | 0.0458688i | 0.0180087 | − | 0.00145928i | ||||
\(989\) | 29.4089 | − | 50.9377i | 0.935149 | − | 1.61972i | ||||
\(990\) | −0.551297 | + | 0.551297i | −0.0175214 | + | 0.0175214i | ||||
\(991\) | 15.1342 | 0.480753 | 0.240377 | − | 0.970680i | \(-0.422729\pi\) | ||||
0.240377 | + | 0.970680i | \(0.422729\pi\) | |||||||
\(992\) | 13.3787 | 0.424775 | ||||||||
\(993\) | 18.8751 | − | 18.8751i | 0.598984 | − | 0.598984i | ||||
\(994\) | −11.7962 | − | 6.40691i | −0.374153 | − | 0.203215i | ||||
\(995\) | 0.0299915 | + | 0.00803620i | 0.000950795 | + | 0.000254765i | ||||
\(996\) | 0.235571 | + | 0.879164i | 0.00746436 | + | 0.0278574i | ||||
\(997\) | −37.2703 | − | 21.5180i | −1.18036 | − | 0.681483i | −0.224265 | − | 0.974528i | \(-0.571998\pi\) |
−0.956099 | + | 0.293045i | \(0.905331\pi\) | |||||||
\(998\) | 37.8966i | 1.19960i | ||||||||
\(999\) | 1.55216 | − | 5.79276i | 0.0491083 | − | 0.183275i |
(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 | 273.2.cg.a.124.3 | yes | 36 | |
3.2 | odd | 2 | 819.2.gh.c.397.7 | 36 | |||
7.3 | odd | 6 | 273.2.bt.a.241.3 | yes | 36 | ||
13.2 | odd | 12 | 273.2.bt.a.145.3 | ✓ | 36 | ||
21.17 | even | 6 | 819.2.et.c.514.7 | 36 | |||
39.2 | even | 12 | 819.2.et.c.145.7 | 36 | |||
91.80 | even | 12 | inner | 273.2.cg.a.262.3 | yes | 36 | |
273.80 | odd | 12 | 819.2.gh.c.262.7 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.a.145.3 | ✓ | 36 | 13.2 | odd | 12 | ||
273.2.bt.a.241.3 | yes | 36 | 7.3 | odd | 6 | ||
273.2.cg.a.124.3 | yes | 36 | 1.1 | even | 1 | trivial | |
273.2.cg.a.262.3 | yes | 36 | 91.80 | even | 12 | inner | |
819.2.et.c.145.7 | 36 | 39.2 | even | 12 | |||
819.2.et.c.514.7 | 36 | 21.17 | even | 6 | |||
819.2.gh.c.262.7 | 36 | 273.80 | odd | 12 | |||
819.2.gh.c.397.7 | 36 | 3.2 | odd | 2 |