Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [675,2,Mod(76,675)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(675, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("675.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 675 = 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 675.l (of order \(9\), degree \(6\), 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: | \(5.38990213644\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | 12.0.1952986685049.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} + \cdots + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 27) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 151.1 | ||
Root | \(0.500000 - 2.22827i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 675.151 |
Dual form | 675.2.l.c.76.1 |
$q$-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 \(\left(\mathbb{Z}/675\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.318266 | + | 0.267057i | 0.225048 | + | 0.188837i | 0.748339 | − | 0.663316i | \(-0.230852\pi\) |
−0.523291 | + | 0.852154i | \(0.675296\pi\) | |||||||
\(3\) | −0.159815 | − | 1.72466i | −0.0922690 | − | 0.995734i | ||||
\(4\) | −0.317323 | − | 1.79963i | −0.158661 | − | 0.899813i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.409719 | − | 0.591580i | 0.167267 | − | 0.241512i | ||||
\(7\) | 0.229151 | − | 1.29958i | 0.0866110 | − | 0.491195i | −0.910386 | − | 0.413759i | \(-0.864216\pi\) |
0.996997 | − | 0.0774361i | \(-0.0246734\pi\) | |||||||
\(8\) | 0.795075 | − | 1.37711i | 0.281102 | − | 0.486882i | ||||
\(9\) | −2.94892 | + | 0.551252i | −0.982973 | + | 0.183751i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.90067 | − | 1.78370i | 1.47761 | − | 0.537805i | 0.527454 | − | 0.849584i | \(-0.323147\pi\) |
0.950155 | + | 0.311778i | \(0.100925\pi\) | |||||||
\(12\) | −3.05303 | + | 0.834881i | −0.881335 | + | 0.241009i | ||||
\(13\) | 0.0138336 | − | 0.0116078i | 0.00383676 | − | 0.00321942i | −0.640867 | − | 0.767652i | \(-0.721425\pi\) |
0.644704 | + | 0.764432i | \(0.276981\pi\) | |||||||
\(14\) | 0.419993 | − | 0.352416i | 0.112248 | − | 0.0941870i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.81355 | + | 1.02405i | −0.703389 | + | 0.256012i | ||||
\(17\) | −1.56640 | − | 2.71308i | −0.379907 | − | 0.658019i | 0.611141 | − | 0.791522i | \(-0.290711\pi\) |
−0.991048 | + | 0.133503i | \(0.957377\pi\) | |||||||
\(18\) | −1.08575 | − | 0.612083i | −0.255915 | − | 0.144269i | ||||
\(19\) | −0.208676 | + | 0.361438i | −0.0478736 | + | 0.0829195i | −0.888969 | − | 0.457967i | \(-0.848578\pi\) |
0.841096 | + | 0.540886i | \(0.181911\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.27796 | − | 0.187516i | −0.497092 | − | 0.0409194i | ||||
\(22\) | 2.03606 | + | 0.741067i | 0.434090 | + | 0.157996i | ||||
\(23\) | 0.179619 | + | 1.01867i | 0.0374532 | + | 0.212408i | 0.997791 | − | 0.0664316i | \(-0.0211614\pi\) |
−0.960338 | + | 0.278839i | \(0.910050\pi\) | |||||||
\(24\) | −2.50212 | − | 1.15115i | −0.510742 | − | 0.234978i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.00750270 | 0.00147140 | ||||||||
\(27\) | 1.42200 | + | 4.99779i | 0.273665 | + | 0.961825i | ||||
\(28\) | −2.41147 | −0.455726 | ||||||||
\(29\) | −5.98068 | − | 5.01839i | −1.11058 | − | 0.931891i | −0.112493 | − | 0.993652i | \(-0.535884\pi\) |
−0.998091 | + | 0.0617615i | \(0.980328\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.647649 | + | 3.67300i | 0.116321 | + | 0.659691i | 0.986088 | + | 0.166227i | \(0.0531584\pi\) |
−0.869766 | + | 0.493464i | \(0.835730\pi\) | |||||||
\(32\) | −4.15744 | − | 1.51319i | −0.734939 | − | 0.267496i | ||||
\(33\) | −3.85948 | − | 8.16694i | −0.671849 | − | 1.42168i | ||||
\(34\) | 0.226015 | − | 1.28180i | 0.0387613 | − | 0.219826i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.92781 | + | 5.13202i | 0.321301 | + | 0.855337i | ||||
\(37\) | 2.21238 | + | 3.83195i | 0.363713 | + | 0.629969i | 0.988569 | − | 0.150771i | \(-0.0481756\pi\) |
−0.624856 | + | 0.780740i | \(0.714842\pi\) | |||||||
\(38\) | −0.162939 | + | 0.0593049i | −0.0264322 | + | 0.00962052i | ||||
\(39\) | −0.0222303 | − | 0.0220032i | −0.00355970 | − | 0.00352334i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.81517 | + | 2.36221i | −0.439655 | + | 0.368915i | −0.835580 | − | 0.549368i | \(-0.814868\pi\) |
0.395925 | + | 0.918283i | \(0.370424\pi\) | |||||||
\(42\) | −0.674919 | − | 0.668024i | −0.104142 | − | 0.103078i | ||||
\(43\) | −7.80685 | + | 2.84146i | −1.19053 | + | 0.433319i | −0.859911 | − | 0.510445i | \(-0.829481\pi\) |
−0.330622 | + | 0.943763i | \(0.607259\pi\) | |||||||
\(44\) | −4.76508 | − | 8.25337i | −0.718363 | − | 1.24424i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.214876 | + | 0.372177i | −0.0316818 | + | 0.0548745i | ||||
\(47\) | 1.23254 | − | 6.99008i | 0.179784 | − | 1.01961i | −0.752691 | − | 0.658374i | \(-0.771245\pi\) |
0.932475 | − | 0.361234i | \(-0.117644\pi\) | |||||||
\(48\) | 2.21579 | + | 4.68877i | 0.319821 | + | 0.676766i | ||||
\(49\) | 4.94145 | + | 1.79854i | 0.705921 | + | 0.256934i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.42881 | + | 3.13510i | −0.620158 | + | 0.439001i | ||||
\(52\) | −0.0252794 | − | 0.0212119i | −0.00350562 | − | 0.00294157i | ||||
\(53\) | 1.30057 | 0.178648 | 0.0893238 | − | 0.996003i | \(-0.471529\pi\) | ||||
0.0893238 | + | 0.996003i | \(0.471529\pi\) | |||||||
\(54\) | −0.882118 | + | 1.97038i | −0.120041 | + | 0.268135i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.60747 | − | 1.34883i | −0.214808 | − | 0.180245i | ||||
\(57\) | 0.656707 | + | 0.302133i | 0.0869830 | + | 0.0400185i | ||||
\(58\) | −0.563252 | − | 3.19436i | −0.0739586 | − | 0.419440i | ||||
\(59\) | 3.47856 | + | 1.26609i | 0.452871 | + | 0.164831i | 0.558377 | − | 0.829587i | \(-0.311424\pi\) |
−0.105507 | + | 0.994419i | \(0.533646\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.20064 | − | 6.80919i | 0.153727 | − | 0.871828i | −0.806214 | − | 0.591624i | \(-0.798487\pi\) |
0.959941 | − | 0.280204i | \(-0.0904020\pi\) | |||||||
\(62\) | −0.774775 | + | 1.34195i | −0.0983965 | + | 0.170428i | ||||
\(63\) | 0.0406486 | + | 3.95868i | 0.00512125 | + | 0.498747i | ||||
\(64\) | 2.07506 | + | 3.59410i | 0.259382 | + | 0.449263i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.952697 | − | 3.62996i | 0.117269 | − | 0.446817i | ||||
\(67\) | 8.44702 | − | 7.08789i | 1.03197 | − | 0.865923i | 0.0408835 | − | 0.999164i | \(-0.486983\pi\) |
0.991084 | + | 0.133241i | \(0.0425383\pi\) | |||||||
\(68\) | −4.38548 | + | 3.67985i | −0.531817 | + | 0.446247i | ||||
\(69\) | 1.72816 | − | 0.472581i | 0.208046 | − | 0.0568921i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.04214 | + | 5.26914i | 0.361035 | + | 0.625332i | 0.988132 | − | 0.153610i | \(-0.0490900\pi\) |
−0.627096 | + | 0.778942i | \(0.715757\pi\) | |||||||
\(72\) | −1.58548 | + | 4.49927i | −0.186850 | + | 0.530245i | ||||
\(73\) | −0.273486 | + | 0.473692i | −0.0320092 | + | 0.0554415i | −0.881586 | − | 0.472023i | \(-0.843524\pi\) |
0.849577 | + | 0.527465i | \(0.176857\pi\) | |||||||
\(74\) | −0.319224 | + | 1.81041i | −0.0371090 | + | 0.210456i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.716670 | + | 0.260847i | 0.0822077 | + | 0.0299212i | ||||
\(77\) | −1.19507 | − | 6.77756i | −0.136190 | − | 0.772374i | ||||
\(78\) | −0.00119904 | − | 0.0129396i | −0.000135765 | − | 0.00146512i | ||||
\(79\) | 0.374706 | + | 0.314416i | 0.0421577 | + | 0.0353745i | 0.663623 | − | 0.748067i | \(-0.269018\pi\) |
−0.621465 | + | 0.783442i | \(0.713462\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.39224 | − | 3.25120i | 0.932471 | − | 0.361244i | ||||
\(82\) | −1.52681 | −0.168608 | ||||||||
\(83\) | −3.53428 | − | 2.96561i | −0.387937 | − | 0.325518i | 0.427872 | − | 0.903839i | \(-0.359263\pi\) |
−0.815809 | + | 0.578321i | \(0.803708\pi\) | |||||||
\(84\) | 0.385389 | + | 4.15898i | 0.0420493 | + | 0.453782i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −3.24348 | − | 1.18053i | −0.349754 | − | 0.127300i | ||||
\(87\) | −7.69922 | + | 11.1167i | −0.825443 | + | 1.19183i | ||||
\(88\) | 1.44005 | − | 8.16694i | 0.153510 | − | 0.870599i | ||||
\(89\) | 1.68653 | − | 2.92116i | 0.178772 | − | 0.309642i | −0.762688 | − | 0.646766i | \(-0.776121\pi\) |
0.941460 | + | 0.337124i | \(0.109454\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.0119153 | − | 0.0206379i | −0.00124906 | − | 0.00216344i | ||||
\(92\) | 1.77623 | − | 0.646495i | 0.185185 | − | 0.0674018i | ||||
\(93\) | 6.23118 | − | 1.70398i | 0.646144 | − | 0.176694i | ||||
\(94\) | 2.25902 | − | 1.89554i | 0.233000 | − | 0.195510i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.94531 | + | 7.41201i | −0.198543 | + | 0.756485i | ||||
\(97\) | 9.34182 | − | 3.40014i | 0.948518 | − | 0.345232i | 0.178994 | − | 0.983850i | \(-0.442716\pi\) |
0.769524 | + | 0.638618i | \(0.220493\pi\) | |||||||
\(98\) | 1.09238 | + | 1.89206i | 0.110347 | + | 0.191127i | ||||
\(99\) | −13.4684 | + | 7.96149i | −1.35363 | + | 0.800160i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.39626 | − | 13.5898i | 0.238436 | − | 1.35224i | −0.596818 | − | 0.802377i | \(-0.703569\pi\) |
0.835255 | − | 0.549863i | \(-0.185320\pi\) | |||||||
\(102\) | −2.24679 | − | 0.184950i | −0.222465 | − | 0.0183128i | ||||
\(103\) | 4.28981 | + | 1.56136i | 0.422687 | + | 0.153846i | 0.544601 | − | 0.838695i | \(-0.316681\pi\) |
−0.121914 | + | 0.992541i | \(0.538903\pi\) | |||||||
\(104\) | −0.00498644 | − | 0.0282795i | −0.000488961 | − | 0.00277303i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.413928 | + | 0.347327i | 0.0402042 | + | 0.0337354i | ||||
\(107\) | 11.2965 | 1.09207 | 0.546035 | − | 0.837762i | \(-0.316136\pi\) | ||||
0.546035 | + | 0.837762i | \(0.316136\pi\) | |||||||
\(108\) | 8.54292 | − | 4.14499i | 0.822043 | − | 0.398851i | ||||
\(109\) | 14.5032 | 1.38915 | 0.694577 | − | 0.719419i | \(-0.255592\pi\) | ||||
0.694577 | + | 0.719419i | \(0.255592\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.25525 | − | 4.42801i | 0.593722 | − | 0.420288i | ||||
\(112\) | 0.686107 | + | 3.89110i | 0.0648310 | + | 0.367675i | ||||
\(113\) | 11.8011 | + | 4.29523i | 1.11015 | + | 0.404062i | 0.831049 | − | 0.556200i | \(-0.187741\pi\) |
0.279102 | + | 0.960262i | \(0.409963\pi\) | |||||||
\(114\) | 0.128321 | + | 0.271536i | 0.0120183 | + | 0.0254317i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −7.13341 | + | 12.3554i | −0.662321 | + | 1.14717i | ||||
\(117\) | −0.0343954 | + | 0.0418563i | −0.00317986 | + | 0.00386961i | ||||
\(118\) | 0.768989 | + | 1.33193i | 0.0707912 | + | 0.122614i | ||||
\(119\) | −3.88481 | + | 1.41395i | −0.356120 | + | 0.129617i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 12.4085 | − | 10.4120i | 1.12805 | − | 0.946544i | ||||
\(122\) | 2.20056 | − | 1.84649i | 0.199230 | − | 0.167174i | ||||
\(123\) | 4.52391 | + | 4.47770i | 0.407907 | + | 0.403740i | ||||
\(124\) | 6.40452 | − | 2.33105i | 0.575143 | − | 0.209335i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −1.04425 | + | 1.27077i | −0.0930295 | + | 0.113209i | ||||
\(127\) | −4.19749 | + | 7.27027i | −0.372467 | + | 0.645132i | −0.989944 | − | 0.141456i | \(-0.954821\pi\) |
0.617477 | + | 0.786589i | \(0.288155\pi\) | |||||||
\(128\) | −1.83594 | + | 10.4121i | −0.162276 | + | 0.920310i | ||||
\(129\) | 6.14821 | + | 13.0101i | 0.541319 | + | 1.14547i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.69761 | − | 15.2989i | −0.235691 | − | 1.33667i | −0.841154 | − | 0.540796i | \(-0.818123\pi\) |
0.605463 | − | 0.795874i | \(-0.292988\pi\) | |||||||
\(132\) | −13.4727 | + | 9.53717i | −1.17265 | + | 0.830104i | ||||
\(133\) | 0.421899 | + | 0.354015i | 0.0365833 | + | 0.0306970i | ||||
\(134\) | 4.58126 | 0.395761 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.98162 | −0.427170 | ||||||||
\(137\) | −9.19820 | − | 7.71820i | −0.785855 | − | 0.659411i | 0.158861 | − | 0.987301i | \(-0.449218\pi\) |
−0.944716 | + | 0.327890i | \(0.893662\pi\) | |||||||
\(138\) | 0.676219 | + | 0.311110i | 0.0575636 | + | 0.0264834i | ||||
\(139\) | 1.06709 | + | 6.05176i | 0.0905093 | + | 0.513304i | 0.996031 | + | 0.0890042i | \(0.0283685\pi\) |
−0.905522 | + | 0.424299i | \(0.860520\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −12.2525 | − | 1.00860i | −1.03185 | − | 0.0849392i | ||||
\(142\) | −0.438950 | + | 2.48941i | −0.0368359 | + | 0.208907i | ||||
\(143\) | 0.0470893 | − | 0.0815610i | 0.00393780 | − | 0.00682047i | ||||
\(144\) | 7.73243 | − | 4.57082i | 0.644369 | − | 0.380901i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.213544 | + | 0.0777237i | −0.0176730 | + | 0.00643246i | ||||
\(147\) | 2.31216 | − | 8.80976i | 0.190704 | − | 0.726617i | ||||
\(148\) | 6.19404 | − | 5.19742i | 0.509147 | − | 0.427225i | ||||
\(149\) | 0.676280 | − | 0.567466i | 0.0554030 | − | 0.0464886i | −0.614666 | − | 0.788788i | \(-0.710709\pi\) |
0.670069 | + | 0.742299i | \(0.266265\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.72942 | + | 2.81328i | −0.629011 | + | 0.228941i | −0.636801 | − | 0.771028i | \(-0.719743\pi\) |
0.00778980 | + | 0.999970i | \(0.497520\pi\) | |||||||
\(152\) | 0.331826 | + | 0.574740i | 0.0269147 | + | 0.0466176i | ||||
\(153\) | 6.11477 | + | 7.13717i | 0.494350 | + | 0.577006i | ||||
\(154\) | 1.42964 | − | 2.47621i | 0.115204 | − | 0.199539i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.0325434 | + | 0.0469884i | −0.00260556 | + | 0.00376208i | ||||
\(157\) | 11.8024 | + | 4.29571i | 0.941932 | + | 0.342835i | 0.766928 | − | 0.641733i | \(-0.221784\pi\) |
0.175003 | + | 0.984568i | \(0.444006\pi\) | |||||||
\(158\) | 0.0352893 | + | 0.200135i | 0.00280746 | + | 0.0159219i | ||||
\(159\) | −0.207851 | − | 2.24305i | −0.0164836 | − | 0.177886i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.36501 | 0.107578 | ||||||||
\(162\) | 3.53922 | + | 1.20646i | 0.278067 | + | 0.0947884i | ||||
\(163\) | −3.31466 | −0.259624 | −0.129812 | − | 0.991539i | \(-0.541437\pi\) | ||||
−0.129812 | + | 0.991539i | \(0.541437\pi\) | |||||||
\(164\) | 5.14440 | + | 4.31667i | 0.401710 | + | 0.337075i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.332853 | − | 1.88770i | −0.0258344 | − | 0.146514i | ||||
\(167\) | −19.3229 | − | 7.03295i | −1.49525 | − | 0.544226i | −0.540424 | − | 0.841393i | \(-0.681736\pi\) |
−0.954826 | + | 0.297167i | \(0.903958\pi\) | |||||||
\(168\) | −2.06938 | + | 2.98791i | −0.159656 | + | 0.230522i | ||||
\(169\) | −2.25737 | + | 12.8022i | −0.173644 | + | 0.984783i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.416126 | − | 1.18088i | 0.0318219 | − | 0.0903044i | ||||
\(172\) | 7.59085 | + | 13.1477i | 0.578797 | + | 1.00251i | ||||
\(173\) | 13.1870 | − | 4.79966i | 1.00259 | − | 0.364911i | 0.212005 | − | 0.977269i | \(-0.432001\pi\) |
0.790581 | + | 0.612357i | \(0.209779\pi\) | |||||||
\(174\) | −5.41917 | + | 1.48192i | −0.410827 | + | 0.112344i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −11.9617 | + | 10.0371i | −0.901648 | + | 0.756572i | ||||
\(177\) | 1.62766 | − | 6.20169i | 0.122342 | − | 0.466148i | ||||
\(178\) | 1.31688 | − | 0.479305i | 0.0987043 | − | 0.0359254i | ||||
\(179\) | −5.09500 | − | 8.82479i | −0.380818 | − | 0.659596i | 0.610361 | − | 0.792123i | \(-0.291024\pi\) |
−0.991179 | + | 0.132527i | \(0.957691\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.0274 | + | 20.8320i | −0.893987 | + | 1.54843i | −0.0589331 | + | 0.998262i | \(0.518770\pi\) |
−0.835054 | + | 0.550169i | \(0.814563\pi\) | |||||||
\(182\) | 0.00171925 | − | 0.00975037i | 0.000127440 | − | 0.000722746i | ||||
\(183\) | −11.9354 | − | 0.982498i | −0.882293 | − | 0.0726283i | ||||
\(184\) | 1.54563 | + | 0.562565i | 0.113946 | + | 0.0414728i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 2.43823 | + | 1.12176i | 0.178780 | + | 0.0822516i | ||||
\(187\) | −12.5157 | − | 10.5019i | −0.915240 | − | 0.767978i | ||||
\(188\) | −12.9706 | −0.945981 | ||||||||
\(189\) | 6.82089 | − | 0.702760i | 0.496146 | − | 0.0511182i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.38541 | + | 7.03619i | 0.606747 | + | 0.509121i | 0.893606 | − | 0.448852i | \(-0.148167\pi\) |
−0.286860 | + | 0.957973i | \(0.592611\pi\) | |||||||
\(192\) | 5.86699 | − | 4.15316i | 0.423414 | − | 0.299729i | ||||
\(193\) | 1.87644 | + | 10.6418i | 0.135069 | + | 0.766013i | 0.974812 | + | 0.223029i | \(0.0715945\pi\) |
−0.839743 | + | 0.542984i | \(0.817294\pi\) | |||||||
\(194\) | 3.88121 | + | 1.41265i | 0.278655 | + | 0.101422i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.66867 | − | 9.46347i | 0.119190 | − | 0.675962i | ||||
\(197\) | −11.0367 | + | 19.1161i | −0.786331 | + | 1.36196i | 0.141870 | + | 0.989885i | \(0.454689\pi\) |
−0.928201 | + | 0.372080i | \(0.878645\pi\) | |||||||
\(198\) | −6.41270 | − | 1.06296i | −0.455731 | − | 0.0755413i | ||||
\(199\) | −6.44338 | − | 11.1603i | −0.456759 | − | 0.791130i | 0.542028 | − | 0.840360i | \(-0.317657\pi\) |
−0.998787 | + | 0.0492301i | \(0.984323\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −13.5742 | − | 13.4355i | −0.957448 | − | 0.947667i | ||||
\(202\) | 4.39190 | − | 3.68524i | 0.309013 | − | 0.259293i | ||||
\(203\) | −7.89228 | + | 6.62241i | −0.553929 | + | 0.464802i | ||||
\(204\) | 7.04736 | + | 6.97537i | 0.493414 | + | 0.488374i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0.948326 | + | 1.64255i | 0.0660730 | + | 0.114442i | ||||
\(207\) | −1.09123 | − | 2.90496i | −0.0758456 | − | 0.201909i | ||||
\(208\) | −0.0270347 | + | 0.0468255i | −0.00187452 | + | 0.00324676i | ||||
\(209\) | −0.377957 | + | 2.14350i | −0.0261439 | + | 0.148269i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 22.5485 | + | 8.20699i | 1.55230 | + | 0.564992i | 0.968957 | − | 0.247230i | \(-0.0795204\pi\) |
0.583347 | + | 0.812223i | \(0.301743\pi\) | |||||||
\(212\) | −0.412702 | − | 2.34055i | −0.0283445 | − | 0.160749i | ||||
\(213\) | 8.60131 | − | 6.08875i | 0.589352 | − | 0.417194i | ||||
\(214\) | 3.59528 | + | 3.01680i | 0.245768 | + | 0.206224i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 8.01311 | + | 2.01536i | 0.545223 | + | 0.137128i | ||||
\(217\) | 4.92177 | 0.334112 | ||||||||
\(218\) | 4.61587 | + | 3.87317i | 0.312626 | + | 0.262324i | ||||
\(219\) | 0.860667 | + | 0.395969i | 0.0581585 | + | 0.0267571i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.0531618 | − | 0.0193493i | −0.00357605 | − | 0.00130158i | ||||
\(222\) | 3.17336 | + | 0.261224i | 0.212982 | + | 0.0175322i | ||||
\(223\) | −3.76160 | + | 21.3331i | −0.251895 | + | 1.42857i | 0.552023 | + | 0.833829i | \(0.313856\pi\) |
−0.803918 | + | 0.594740i | \(0.797255\pi\) | |||||||
\(224\) | −2.91919 | + | 5.05618i | −0.195047 | + | 0.337831i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.60880 | + | 4.51858i | 0.173535 | + | 0.300571i | ||||
\(227\) | 20.3367 | − | 7.40196i | 1.34979 | − | 0.491285i | 0.436911 | − | 0.899505i | \(-0.356072\pi\) |
0.912884 | + | 0.408220i | \(0.133850\pi\) | |||||||
\(228\) | 0.335338 | − | 1.27770i | 0.0222083 | − | 0.0846178i | ||||
\(229\) | −8.27739 | + | 6.94555i | −0.546985 | + | 0.458975i | −0.873919 | − | 0.486072i | \(-0.838429\pi\) |
0.326934 | + | 0.945047i | \(0.393985\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −11.4980 | + | 3.14424i | −0.756513 | + | 0.206876i | ||||
\(232\) | −11.6660 | + | 4.24606i | −0.765908 | + | 0.278768i | ||||
\(233\) | 3.81950 | + | 6.61557i | 0.250224 | + | 0.433400i | 0.963587 | − | 0.267394i | \(-0.0861625\pi\) |
−0.713364 | + | 0.700794i | \(0.752829\pi\) | |||||||
\(234\) | −0.0221249 | + | 0.00413588i | −0.00144635 | + | 0.000270371i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 1.17467 | − | 6.66187i | 0.0764644 | − | 0.433651i | ||||
\(237\) | 0.482377 | − | 0.696490i | 0.0313338 | − | 0.0452419i | ||||
\(238\) | −1.61401 | − | 0.587451i | −0.104621 | − | 0.0380788i | ||||
\(239\) | −0.561143 | − | 3.18240i | −0.0362973 | − | 0.205852i | 0.961266 | − | 0.275623i | \(-0.0888842\pi\) |
−0.997563 | + | 0.0697711i | \(0.977773\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −20.3346 | − | 17.0628i | −1.30987 | − | 1.09911i | −0.988349 | − | 0.152206i | \(-0.951362\pi\) |
−0.321518 | − | 0.946903i | \(-0.604193\pi\) | |||||||
\(242\) | 6.72979 | 0.432608 | ||||||||
\(243\) | −6.94842 | − | 13.9542i | −0.445741 | − | 0.895162i | ||||
\(244\) | −12.6350 | −0.808873 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.244007 | + | 2.63324i | 0.0155573 | + | 0.167889i | ||||
\(247\) | 0.00130875 | + | 0.00742226i | 8.32735e−5 | + | 0.000472267i | ||||
\(248\) | 5.57306 | + | 2.02843i | 0.353890 | + | 0.128805i | ||||
\(249\) | −4.54985 | + | 6.56938i | −0.288335 | + | 0.416318i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.24965 | − | 3.89651i | 0.141997 | − | 0.245945i | −0.786252 | − | 0.617906i | \(-0.787981\pi\) |
0.928248 | + | 0.371961i | \(0.121314\pi\) | |||||||
\(252\) | 7.11124 | − | 1.32933i | 0.447966 | − | 0.0837399i | ||||
\(253\) | 2.69726 | + | 4.67179i | 0.169575 | + | 0.293713i | ||||
\(254\) | −3.27749 | + | 1.19291i | −0.205648 | + | 0.0748498i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.99340 | − | 2.51176i | 0.187088 | − | 0.156985i | ||||
\(257\) | −10.5219 | + | 8.82895i | −0.656340 | + | 0.550735i | −0.908987 | − | 0.416824i | \(-0.863143\pi\) |
0.252647 | + | 0.967559i | \(0.418699\pi\) | |||||||
\(258\) | −1.51766 | + | 5.78258i | −0.0944854 | + | 0.360007i | ||||
\(259\) | 5.48690 | − | 1.99707i | 0.340939 | − | 0.124092i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 20.4029 | + | 11.5020i | 1.26291 | + | 0.711953i | ||||
\(262\) | 3.22711 | − | 5.58952i | 0.199372 | − | 0.345322i | ||||
\(263\) | 4.20273 | − | 23.8349i | 0.259151 | − | 1.46972i | −0.526036 | − | 0.850462i | \(-0.676322\pi\) |
0.785187 | − | 0.619258i | \(-0.212567\pi\) | |||||||
\(264\) | −14.3154 | − | 1.17841i | −0.881049 | − | 0.0725260i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0.0397339 | + | 0.225342i | 0.00243624 | + | 0.0138166i | ||||
\(267\) | −5.30755 | − | 2.44185i | −0.324817 | − | 0.149439i | ||||
\(268\) | −15.4360 | − | 12.9523i | −0.942902 | − | 0.791189i | ||||
\(269\) | 12.0062 | 0.732032 | 0.366016 | − | 0.930609i | \(-0.380722\pi\) | ||||
0.366016 | + | 0.930609i | \(0.380722\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.71777 | 0.225839 | 0.112919 | − | 0.993604i | \(-0.463980\pi\) | ||||
0.112919 | + | 0.993604i | \(0.463980\pi\) | |||||||
\(272\) | 7.18547 | + | 6.02933i | 0.435683 | + | 0.365582i | ||||
\(273\) | −0.0336891 | + | 0.0238481i | −0.00203896 | + | 0.00144335i | ||||
\(274\) | −0.866273 | − | 4.91288i | −0.0523335 | − | 0.296798i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −1.39885 | − | 2.96008i | −0.0842011 | − | 0.178176i | ||||
\(277\) | 4.07780 | − | 23.1264i | 0.245011 | − | 1.38953i | −0.575455 | − | 0.817833i | \(-0.695175\pi\) |
0.820466 | − | 0.571695i | \(-0.193714\pi\) | |||||||
\(278\) | −1.27654 | + | 2.21104i | −0.0765621 | + | 0.132609i | ||||
\(279\) | −3.93462 | − | 10.4744i | −0.235559 | − | 0.627084i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 19.1432 | − | 6.96754i | 1.14199 | − | 0.415649i | 0.299356 | − | 0.954142i | \(-0.403228\pi\) |
0.842630 | + | 0.538493i | \(0.181006\pi\) | |||||||
\(282\) | −3.63020 | − | 3.59311i | −0.216175 | − | 0.213967i | ||||
\(283\) | −8.88607 | + | 7.45630i | −0.528222 | + | 0.443231i | −0.867487 | − | 0.497460i | \(-0.834266\pi\) |
0.339265 | + | 0.940691i | \(0.389822\pi\) | |||||||
\(284\) | 8.51714 | − | 7.14673i | 0.505399 | − | 0.424080i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.0367683 | − | 0.0133826i | 0.00217416 | − | 0.000791328i | ||||
\(287\) | 2.42478 | + | 4.19984i | 0.143130 | + | 0.247909i | ||||
\(288\) | 13.0941 | + | 2.17046i | 0.771578 | + | 0.127896i | ||||
\(289\) | 3.59280 | − | 6.22291i | 0.211341 | − | 0.366053i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.35706 | − | 15.5681i | −0.431279 | − | 0.912618i | ||||
\(292\) | 0.939253 | + | 0.341860i | 0.0549656 | + | 0.0200058i | ||||
\(293\) | −5.48280 | − | 31.0945i | −0.320308 | − | 1.81656i | −0.540779 | − | 0.841165i | \(-0.681870\pi\) |
0.220470 | − | 0.975394i | \(-0.429241\pi\) | |||||||
\(294\) | 3.08858 | − | 2.18637i | 0.180130 | − | 0.127511i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 7.03603 | 0.408961 | ||||||||
\(297\) | 15.8833 | + | 21.9561i | 0.921644 | + | 1.27402i | ||||
\(298\) | 0.366782 | 0.0212471 | ||||||||
\(299\) | 0.0143093 | + | 0.0120069i | 0.000827529 | + | 0.000694379i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.90376 | + | 10.7968i | 0.109731 | + | 0.622315i | ||||
\(302\) | −3.21131 | − | 1.16882i | −0.184790 | − | 0.0672581i | ||||
\(303\) | −23.8208 | − | 1.96088i | −1.36847 | − | 0.112649i | ||||
\(304\) | 0.216991 | − | 1.23062i | 0.0124453 | − | 0.0705809i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.0400924 | + | 3.90451i | 0.00229193 | + | 0.223206i | ||||
\(307\) | −4.06027 | − | 7.03259i | −0.231732 | − | 0.401371i | 0.726586 | − | 0.687075i | \(-0.241106\pi\) |
−0.958318 | + | 0.285704i | \(0.907773\pi\) | |||||||
\(308\) | −11.8178 | + | 4.30134i | −0.673384 | + | 0.245092i | ||||
\(309\) | 2.00725 | − | 7.64800i | 0.114188 | − | 0.435079i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −18.2691 | + | 15.3296i | −1.03594 | + | 0.869259i | −0.991546 | − | 0.129754i | \(-0.958581\pi\) |
−0.0443970 | + | 0.999014i | \(0.514137\pi\) | |||||||
\(312\) | −0.0479757 | + | 0.0131194i | −0.00271609 | + | 0.000742740i | ||||
\(313\) | 25.2876 | − | 9.20392i | 1.42934 | − | 0.520236i | 0.492596 | − | 0.870258i | \(-0.336048\pi\) |
0.936742 | + | 0.350022i | \(0.113826\pi\) | |||||||
\(314\) | 2.60909 | + | 4.51908i | 0.147240 | + | 0.255026i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.446928 | − | 0.774102i | 0.0251417 | − | 0.0435466i | ||||
\(317\) | 1.44689 | − | 8.20574i | 0.0812657 | − | 0.460881i | −0.916834 | − | 0.399268i | \(-0.869264\pi\) |
0.998100 | − | 0.0616130i | \(-0.0196244\pi\) | |||||||
\(318\) | 0.532870 | − | 0.769394i | 0.0298819 | − | 0.0431455i | ||||
\(319\) | −38.2606 | − | 13.9257i | −2.14218 | − | 0.779692i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −1.80534 | − | 19.4826i | −0.100764 | − | 1.08741i | ||||
\(322\) | 0.434435 | + | 0.364534i | 0.0242101 | + | 0.0203147i | ||||
\(323\) | 1.30748 | 0.0727501 | ||||||||
\(324\) | −8.51398 | − | 14.0712i | −0.472999 | − | 0.781734i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −1.05494 | − | 0.885201i | −0.0584278 | − | 0.0490268i | ||||
\(327\) | −2.31782 | − | 25.0131i | −0.128176 | − | 1.38323i | ||||
\(328\) | 1.01475 | + | 5.75493i | 0.0560301 | + | 0.317763i | ||||
\(329\) | −8.80173 | − | 3.20357i | −0.485255 | − | 0.176618i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.11487 | + | 6.32272i | −0.0612786 | + | 0.347528i | 0.938717 | + | 0.344688i | \(0.112015\pi\) |
−0.999996 | + | 0.00284030i | \(0.999096\pi\) | |||||||
\(332\) | −4.21548 | + | 7.30143i | −0.231355 | + | 0.400718i | ||||
\(333\) | −8.63650 | − | 10.0805i | −0.473277 | − | 0.552410i | ||||
\(334\) | −4.27161 | − | 7.39865i | −0.233732 | − | 0.404836i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 6.60119 | − | 1.80516i | 0.360124 | − | 0.0984794i | ||||
\(337\) | −5.72610 | + | 4.80477i | −0.311921 | + | 0.261732i | −0.785285 | − | 0.619134i | \(-0.787484\pi\) |
0.473365 | + | 0.880867i | \(0.343039\pi\) | |||||||
\(338\) | −4.13735 | + | 3.47165i | −0.225042 | + | 0.188833i | ||||
\(339\) | 5.52185 | − | 21.0393i | 0.299906 | − | 1.14270i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 9.72545 | + | 16.8450i | 0.526663 | + | 0.912206i | ||||
\(342\) | 0.447801 | − | 0.264706i | 0.0242143 | − | 0.0143136i | ||||
\(343\) | 8.08839 | − | 14.0095i | 0.436732 | − | 0.756442i | ||||
\(344\) | −2.29403 | + | 13.0101i | −0.123686 | + | 0.701456i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.47874 | + | 1.99410i | 0.294539 | + | 0.107203i | ||||
\(347\) | 5.46202 | + | 30.9766i | 0.293216 | + | 1.66291i | 0.674364 | + | 0.738399i | \(0.264418\pi\) |
−0.381148 | + | 0.924514i | \(0.624471\pi\) | |||||||
\(348\) | 22.4490 | + | 10.3281i | 1.20339 | + | 0.553647i | ||||
\(349\) | 9.07988 | + | 7.61893i | 0.486035 | + | 0.407832i | 0.852603 | − | 0.522560i | \(-0.175023\pi\) |
−0.366568 | + | 0.930391i | \(0.619467\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.0776848 | + | 0.0526312i | 0.00414651 | + | 0.00280925i | ||||
\(352\) | −23.0733 | −1.22981 | ||||||||
\(353\) | 6.28699 | + | 5.27541i | 0.334623 | + | 0.280782i | 0.794580 | − | 0.607159i | \(-0.207691\pi\) |
−0.459958 | + | 0.887941i | \(0.652135\pi\) | |||||||
\(354\) | 2.17423 | − | 1.53911i | 0.115559 | − | 0.0818026i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −5.79217 | − | 2.10818i | −0.306984 | − | 0.111733i | ||||
\(357\) | 3.05944 | + | 6.47401i | 0.161923 | + | 0.342641i | ||||
\(358\) | 0.735157 | − | 4.16928i | 0.0388542 | − | 0.220353i | ||||
\(359\) | −8.86365 | + | 15.3523i | −0.467806 | + | 0.810263i | −0.999323 | − | 0.0367840i | \(-0.988289\pi\) |
0.531517 | + | 0.847047i | \(0.321622\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.41291 | + | 16.3036i | 0.495416 | + | 0.858086i | ||||
\(362\) | −9.39122 | + | 3.41812i | −0.493591 | + | 0.179653i | ||||
\(363\) | −19.9402 | − | 19.7365i | −1.04659 | − | 1.03590i | ||||
\(364\) | −0.0333594 | + | 0.0279919i | −0.00174851 | + | 0.00146717i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −3.53626 | − | 3.50013i | −0.184843 | − | 0.182955i | ||||
\(367\) | −19.0941 | + | 6.94969i | −0.996704 | + | 0.362771i | −0.788313 | − | 0.615275i | \(-0.789045\pi\) |
−0.208392 | + | 0.978045i | \(0.566823\pi\) | |||||||
\(368\) | −1.54854 | − | 2.68215i | −0.0807232 | − | 0.139817i | ||||
\(369\) | 6.99953 | − | 8.51782i | 0.364381 | − | 0.443420i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.298028 | − | 1.69020i | 0.0154728 | − | 0.0877509i | ||||
\(372\) | −5.04381 | − | 10.6731i | −0.261510 | − | 0.553374i | ||||
\(373\) | −9.09758 | − | 3.31125i | −0.471055 | − | 0.171450i | 0.0955754 | − | 0.995422i | \(-0.469531\pi\) |
−0.566630 | + | 0.823972i | \(0.691753\pi\) | |||||||
\(374\) | −1.17871 | − | 6.68481i | −0.0609498 | − | 0.345663i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −8.64615 | − | 7.25498i | −0.445891 | − | 0.374147i | ||||
\(377\) | −0.140987 | −0.00726119 | ||||||||
\(378\) | 2.35853 | + | 1.59790i | 0.121310 | + | 0.0821870i | ||||
\(379\) | −4.12905 | −0.212095 | −0.106048 | − | 0.994361i | \(-0.533820\pi\) | ||||
−0.106048 | + | 0.994361i | \(0.533820\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 13.2096 | + | 6.07736i | 0.676748 | + | 0.311353i | ||||
\(382\) | 0.789725 | + | 4.47876i | 0.0404059 | + | 0.229153i | ||||
\(383\) | 4.46371 | + | 1.62466i | 0.228085 | + | 0.0830162i | 0.453535 | − | 0.891239i | \(-0.350163\pi\) |
−0.225450 | + | 0.974255i | \(0.572385\pi\) | |||||||
\(384\) | 18.2508 | + | 1.50236i | 0.931357 | + | 0.0766672i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −2.24476 | + | 3.88803i | −0.114255 | + | 0.197896i | ||||
\(387\) | 21.4554 | − | 12.6828i | 1.09064 | − | 0.644702i | ||||
\(388\) | −9.08336 | − | 15.7328i | −0.461138 | − | 0.798714i | ||||
\(389\) | 20.4978 | − | 7.46059i | 1.03928 | − | 0.378267i | 0.234673 | − | 0.972074i | \(-0.424598\pi\) |
0.804607 | + | 0.593807i | \(0.202376\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.48238 | − | 2.08297i | 0.125539 | − | 0.105340i | ||||
\(392\) | 6.40561 | − | 5.37495i | 0.323532 | − | 0.271476i | ||||
\(393\) | −25.9543 | + | 7.09745i | −1.30922 | + | 0.358019i | ||||
\(394\) | −8.61767 | + | 3.13658i | −0.434152 | + | 0.158018i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 18.6015 | + | 21.7117i | 0.934762 | + | 1.09106i | ||||
\(397\) | −17.4245 | + | 30.1802i | −0.874512 | + | 1.51470i | −0.0172294 | + | 0.999852i | \(0.505485\pi\) |
−0.857282 | + | 0.514847i | \(0.827849\pi\) | |||||||
\(398\) | 0.929715 | − | 5.27268i | 0.0466024 | − | 0.264295i | ||||
\(399\) | 0.543131 | − | 0.784210i | 0.0271906 | − | 0.0392596i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3.26911 | − | 18.5401i | −0.163252 | − | 0.925847i | −0.950849 | − | 0.309656i | \(-0.899786\pi\) |
0.787597 | − | 0.616191i | \(-0.211325\pi\) | |||||||
\(402\) | −0.732152 | − | 7.90113i | −0.0365164 | − | 0.394072i | ||||
\(403\) | 0.0515948 | + | 0.0432932i | 0.00257012 | + | 0.00215659i | ||||
\(404\) | −25.2170 | −1.25459 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.28040 | −0.212433 | ||||||||
\(407\) | 17.6772 | + | 14.8329i | 0.876226 | + | 0.735241i | ||||
\(408\) | 0.796135 | + | 8.59160i | 0.0394145 | + | 0.425348i | ||||
\(409\) | −1.10439 | − | 6.26334i | −0.0546088 | − | 0.309702i | 0.945253 | − | 0.326339i | \(-0.105815\pi\) |
−0.999862 | + | 0.0166371i | \(0.994704\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −11.8413 | + | 17.0973i | −0.584088 | + | 0.843346i | ||||
\(412\) | 1.44862 | − | 8.21551i | 0.0713682 | − | 0.404749i | ||||
\(413\) | 2.44251 | − | 4.23055i | 0.120188 | − | 0.208172i | ||||
\(414\) | 0.428490 | − | 1.21597i | 0.0210591 | − | 0.0597617i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.0750772 | + | 0.0273259i | −0.00368096 | + | 0.00133976i | ||||
\(417\) | 10.2667 | − | 2.80753i | 0.502763 | − | 0.137485i | ||||
\(418\) | −0.692727 | + | 0.581267i | −0.0338824 | + | 0.0284307i | ||||
\(419\) | −18.6286 | + | 15.6313i | −0.910069 | + | 0.763638i | −0.972132 | − | 0.234434i | \(-0.924676\pi\) |
0.0620632 | + | 0.998072i | \(0.480232\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.50818 | − | 2.73275i | 0.365926 | − | 0.133186i | −0.152511 | − | 0.988302i | \(-0.548736\pi\) |
0.518438 | + | 0.855115i | \(0.326514\pi\) | |||||||
\(422\) | 4.98469 | + | 8.63373i | 0.242651 | + | 0.420283i | ||||
\(423\) | 0.218637 | + | 21.2926i | 0.0106305 | + | 1.03528i | ||||
\(424\) | 1.03405 | − | 1.79103i | 0.0502181 | − | 0.0869803i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 4.36354 | + | 0.359197i | 0.211414 | + | 0.0174031i | ||||
\(427\) | −8.57397 | − | 3.12067i | −0.414924 | − | 0.151020i | ||||
\(428\) | −3.58462 | − | 20.3294i | −0.173269 | − | 0.982659i | ||||
\(429\) | −0.148191 | − | 0.0681784i | −0.00715472 | − | 0.00329169i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 9.87124 | 0.475481 | 0.237740 | − | 0.971329i | \(-0.423593\pi\) | ||||
0.237740 | + | 0.971329i | \(0.423593\pi\) | |||||||
\(432\) | −9.11887 | − | 12.6053i | −0.438732 | − | 0.606475i | ||||
\(433\) | 6.10369 | 0.293325 | 0.146662 | − | 0.989187i | \(-0.453147\pi\) | ||||
0.146662 | + | 0.989187i | \(0.453147\pi\) | |||||||
\(434\) | 1.56643 | + | 1.31439i | 0.0751911 | + | 0.0630928i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.60219 | − | 26.1003i | −0.220405 | − | 1.24998i | ||||
\(437\) | −0.405669 | − | 0.147651i | −0.0194058 | − | 0.00706312i | ||||
\(438\) | 0.168174 | + | 0.355870i | 0.00803569 | + | 0.0170041i | ||||
\(439\) | −2.62800 | + | 14.9041i | −0.125427 | + | 0.711334i | 0.855626 | + | 0.517595i | \(0.173173\pi\) |
−0.981053 | + | 0.193739i | \(0.937938\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −15.5634 | − | 2.57976i | −0.741113 | − | 0.122846i | ||||
\(442\) | −0.0117522 | − | 0.0203554i | −0.000558996 | − | 0.000968210i | ||||
\(443\) | −0.679204 | + | 0.247210i | −0.0322699 | + | 0.0117453i | −0.358105 | − | 0.933681i | \(-0.616577\pi\) |
0.325835 | + | 0.945427i | \(0.394355\pi\) | |||||||
\(444\) | −9.95369 | − | 9.85201i | −0.472381 | − | 0.467555i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −6.89432 | + | 5.78502i | −0.326456 | + | 0.273929i | ||||
\(447\) | −1.08677 | − | 1.07566i | −0.0514023 | − | 0.0508772i | ||||
\(448\) | 5.14633 | − | 1.87311i | 0.243141 | − | 0.0884962i | ||||
\(449\) | −0.834224 | − | 1.44492i | −0.0393695 | − | 0.0681899i | 0.845669 | − | 0.533707i | \(-0.179202\pi\) |
−0.885039 | + | 0.465517i | \(0.845868\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.58275 | + | 16.5978i | −0.451234 | + | 0.781560i | ||||
\(452\) | 3.98507 | − | 22.6005i | 0.187442 | − | 1.06304i | ||||
\(453\) | 6.08723 | + | 12.8810i | 0.286003 | + | 0.605204i | ||||
\(454\) | 8.44922 | + | 3.07526i | 0.396541 | + | 0.144329i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0.938202 | − | 0.664140i | 0.0439353 | − | 0.0311012i | ||||
\(457\) | −8.49041 | − | 7.12430i | −0.397165 | − | 0.333261i | 0.422232 | − | 0.906488i | \(-0.361247\pi\) |
−0.819397 | + | 0.573227i | \(0.805691\pi\) | |||||||
\(458\) | −4.48926 | −0.209769 | ||||||||
\(459\) | 11.3320 | − | 11.6865i | 0.528932 | − | 0.545481i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −16.7644 | − | 14.0670i | −0.780797 | − | 0.655166i | 0.162653 | − | 0.986683i | \(-0.447995\pi\) |
−0.943449 | + | 0.331517i | \(0.892439\pi\) | |||||||
\(462\) | −4.49911 | − | 2.06992i | −0.209318 | − | 0.0963012i | ||||
\(463\) | −4.31546 | − | 24.4742i | −0.200556 | − | 1.13741i | −0.904281 | − | 0.426938i | \(-0.859592\pi\) |
0.703724 | − | 0.710473i | \(-0.251519\pi\) | |||||||
\(464\) | 21.9660 | + | 7.99499i | 1.01975 | + | 0.371158i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.551115 | + | 3.12553i | −0.0255299 | + | 0.144787i | ||||
\(467\) | −5.91777 | + | 10.2499i | −0.273842 | + | 0.474308i | −0.969842 | − | 0.243734i | \(-0.921628\pi\) |
0.696001 | + | 0.718041i | \(0.254961\pi\) | |||||||
\(468\) | 0.0862400 | + | 0.0486170i | 0.00398645 | + | 0.00224732i | ||||
\(469\) | −7.27564 | − | 12.6018i | −0.335958 | − | 0.581896i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 5.52246 | − | 21.0416i | 0.254462 | − | 0.969547i | ||||
\(472\) | 4.50927 | − | 3.78373i | 0.207556 | − | 0.174160i | ||||
\(473\) | −33.1905 | + | 27.8501i | −1.52610 | + | 1.28055i | ||||
\(474\) | 0.339526 | − | 0.0928466i | 0.0155950 | − | 0.00426459i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 3.77733 | + | 6.54252i | 0.173134 | + | 0.299876i | ||||
\(477\) | −3.83529 | + | 0.716944i | −0.175606 | + | 0.0328266i | ||||
\(478\) | 0.671288 | − | 1.16270i | 0.0307040 | − | 0.0531809i | ||||
\(479\) | 0.501383 | − | 2.84349i | 0.0229088 | − | 0.129922i | −0.971209 | − | 0.238231i | \(-0.923432\pi\) |
0.994117 | + | 0.108309i | \(0.0345436\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.0750857 | + | 0.0273290i | 0.00342361 | + | 0.00124609i | ||||
\(482\) | −1.91508 | − | 10.8610i | −0.0872297 | − | 0.494704i | ||||
\(483\) | −0.218148 | − | 2.35417i | −0.00992607 | − | 0.107119i | ||||
\(484\) | −22.6752 | − | 19.0267i | −1.03069 | − | 0.864852i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 1.51512 | − | 6.29676i | 0.0687271 | − | 0.285627i | ||||
\(487\) | −8.75903 | −0.396910 | −0.198455 | − | 0.980110i | \(-0.563592\pi\) | ||||
−0.198455 | + | 0.980110i | \(0.563592\pi\) | |||||||
\(488\) | −8.42241 | − | 7.06724i | −0.381265 | − | 0.319919i | ||||
\(489\) | 0.529731 | + | 5.71667i | 0.0239553 | + | 0.258517i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 21.2117 | + | 7.72044i | 0.957272 | + | 0.348418i | 0.772964 | − | 0.634450i | \(-0.218773\pi\) |
0.184308 | + | 0.982869i | \(0.440996\pi\) | |||||||
\(492\) | 6.62264 | − | 9.56222i | 0.298572 | − | 0.431098i | ||||
\(493\) | −4.24716 | + | 24.0869i | −0.191283 | + | 1.08482i | ||||
\(494\) | −0.00156564 | + | 0.00271176i | −7.04413e−5 | + | 0.000122008i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.58354 | − | 9.67097i | −0.250708 | − | 0.434239i | ||||
\(497\) | 7.54478 | − | 2.74608i | 0.338430 | − | 0.123178i | ||||
\(498\) | −3.20246 | + | 0.875741i | −0.143505 | + | 0.0392429i | ||||
\(499\) | −19.4061 | + | 16.2836i | −0.868734 | + | 0.728955i | −0.963831 | − | 0.266513i | \(-0.914128\pi\) |
0.0950968 | + | 0.995468i | \(0.469684\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −9.04139 | + | 34.4494i | −0.403940 | + | 1.53909i | ||||
\(502\) | 1.75657 | − | 0.639340i | 0.0783997 | − | 0.0285352i | ||||
\(503\) | 1.87207 | + | 3.24252i | 0.0834714 | + | 0.144577i | 0.904739 | − | 0.425967i | \(-0.140066\pi\) |
−0.821267 | + | 0.570543i | \(0.806733\pi\) | |||||||
\(504\) | 5.48386 | + | 3.09147i | 0.244270 | + | 0.137705i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −0.389187 | + | 2.20719i | −0.0173015 | + | 0.0981216i | ||||
\(507\) | 22.4402 | + | 1.84723i | 0.996604 | + | 0.0820382i | ||||
\(508\) | 14.4157 | + | 5.24690i | 0.639595 | + | 0.232793i | ||||
\(509\) | 4.22831 | + | 23.9800i | 0.187417 | + | 1.06289i | 0.922811 | + | 0.385253i | \(0.125886\pi\) |
−0.735394 | + | 0.677640i | \(0.763003\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.552932 | + | 0.463965i | 0.0244603 | + | 0.0205246i | ||||
\(512\) | 22.7690 | 1.00626 | ||||||||
\(513\) | −2.10313 | − | 0.528954i | −0.0928554 | − | 0.0233539i | ||||
\(514\) | −5.70660 | −0.251707 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 21.4623 | − | 15.1929i | 0.944824 | − | 0.668828i | ||||
\(517\) | −6.42792 | − | 36.4546i | −0.282700 | − | 1.60327i | ||||
\(518\) | 2.27962 | + | 0.829715i | 0.100161 | + | 0.0364556i | ||||
\(519\) | −10.3853 | − | 21.9760i | −0.455862 | − | 0.964639i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −9.81046 | + | 16.9922i | −0.429804 | + | 0.744443i | −0.996856 | − | 0.0792397i | \(-0.974751\pi\) |
0.567051 | + | 0.823682i | \(0.308084\pi\) | |||||||
\(522\) | 3.42188 | + | 9.10941i | 0.149772 | + | 0.398708i | ||||
\(523\) | 10.4077 | + | 18.0267i | 0.455097 | + | 0.788251i | 0.998694 | − | 0.0510956i | \(-0.0162713\pi\) |
−0.543597 | + | 0.839346i | \(0.682938\pi\) | |||||||
\(524\) | −26.6763 | + | 9.70937i | −1.16536 | + | 0.424156i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.70284 | − | 6.46345i | 0.335860 | − | 0.281820i | ||||
\(527\) | 8.95067 | − | 7.51051i | 0.389897 | − | 0.327163i | ||||
\(528\) | 19.2222 | + | 19.0258i | 0.836539 | + | 0.827993i | ||||
\(529\) | 20.6075 | − | 7.50052i | 0.895978 | − | 0.326109i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −10.9559 | − | 1.81604i | −0.475447 | − | 0.0788095i | ||||
\(532\) | 0.503217 | − | 0.871598i | 0.0218172 | − | 0.0377886i | ||||
\(533\) | −0.0115240 | + | 0.0653558i | −0.000499159 | + | 0.00283087i | ||||
\(534\) | −1.03710 | − | 2.19457i | −0.0448795 | − | 0.0949685i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −3.04479 | − | 17.2679i | −0.131515 | − | 0.745859i | ||||
\(537\) | −14.4055 | + | 10.1975i | −0.621645 | + | 0.440054i | ||||
\(538\) | 3.82117 | + | 3.20634i | 0.164742 | + | 0.138235i | ||||
\(539\) | 27.4245 | 1.18126 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −30.6272 | −1.31676 | −0.658382 | − | 0.752684i | \(-0.728759\pi\) | ||||
−0.658382 | + | 0.752684i | \(0.728759\pi\) | |||||||
\(542\) | 1.18324 | + | 0.992856i | 0.0508245 | + | 0.0426468i | ||||
\(543\) | 37.8503 | + | 17.4139i | 1.62431 | + | 0.747301i | ||||
\(544\) | 2.40681 | + | 13.6497i | 0.103191 | + | 0.585227i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.0170909 | − | 0.00140688i | −0.000731421 | − | 6.02089e-5i | ||||
\(547\) | −3.93273 | + | 22.3036i | −0.168151 | + | 0.953633i | 0.777604 | + | 0.628754i | \(0.216435\pi\) |
−0.945756 | + | 0.324879i | \(0.894676\pi\) | |||||||
\(548\) | −10.9711 | + | 19.0025i | −0.468661 | + | 0.811745i | ||||
\(549\) | 0.212980 | + | 20.7416i | 0.00908976 | + | 0.885231i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.06186 | − | 1.11443i | 0.130440 | − | 0.0474761i | ||||
\(552\) | 0.723220 | − | 2.75560i | 0.0307823 | − | 0.117286i | ||||
\(553\) | 0.494473 | − | 0.414912i | 0.0210271 | − | 0.0176439i | ||||
\(554\) | 7.47387 | − | 6.27132i | 0.317534 | − | 0.266443i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.5523 | − | 3.84072i | 0.447517 | − | 0.162883i | ||||
\(557\) | 18.2259 | + | 31.5682i | 0.772256 | + | 1.33759i | 0.936324 | + | 0.351138i | \(0.114205\pi\) |
−0.164067 | + | 0.986449i | \(0.552461\pi\) | |||||||
\(558\) | 1.54500 | − | 4.38440i | 0.0654049 | − | 0.185606i | ||||
\(559\) | −0.0750139 | + | 0.129928i | −0.00317275 | + | 0.00549537i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −16.1121 | + | 23.2637i | −0.680253 | + | 0.982196i | ||||
\(562\) | 7.95334 | + | 2.89478i | 0.335491 | + | 0.122109i | ||||
\(563\) | −4.60450 | − | 26.1134i | −0.194056 | − | 1.10055i | −0.913756 | − | 0.406263i | \(-0.866832\pi\) |
0.719700 | − | 0.694285i | \(-0.244279\pi\) | |||||||
\(564\) | 2.07290 | + | 22.3700i | 0.0872847 | + | 0.941945i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −4.81938 | −0.202574 | ||||||||
\(567\) | −2.30210 | − | 11.6514i | −0.0966791 | − | 0.489313i | ||||
\(568\) | 9.67492 | 0.405950 | ||||||||
\(569\) | 17.5941 | + | 14.7632i | 0.737581 | + | 0.618904i | 0.932187 | − | 0.361978i | \(-0.117898\pi\) |
−0.194606 | + | 0.980882i | \(0.562343\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.833165 | − | 4.72511i | −0.0348669 | − | 0.197740i | 0.962399 | − | 0.271641i | \(-0.0875662\pi\) |
−0.997266 | + | 0.0739009i | \(0.976455\pi\) | |||||||
\(572\) | −0.161722 | − | 0.0588619i | −0.00676193 | − | 0.00246114i | ||||
\(573\) | 10.7949 | − | 15.5865i | 0.450965 | − | 0.651134i | ||||
\(574\) | −0.349871 | + | 1.98422i | −0.0146033 | + | 0.0828197i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −8.10043 | − | 9.45484i | −0.337518 | − | 0.393952i | ||||
\(577\) | −2.15666 | − | 3.73545i | −0.0897831 | − | 0.155509i | 0.817636 | − | 0.575735i | \(-0.195284\pi\) |
−0.907419 | + | 0.420226i | \(0.861951\pi\) | |||||||
\(578\) | 2.80533 | − | 1.02106i | 0.116686 | − | 0.0424704i | ||||
\(579\) | 18.0536 | − | 4.93693i | 0.750283 | − | 0.205172i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −4.66393 | + | 3.91351i | −0.193493 | + | 0.162360i | ||||
\(582\) | 1.81606 | − | 6.91954i | 0.0752782 | − | 0.286824i | ||||
\(583\) | 6.37369 | − | 2.31983i | 0.263971 | − | 0.0960777i | ||||
\(584\) | 0.434885 | + | 0.753242i | 0.0179957 | + | 0.0311694i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.55900 | − | 11.3605i | 0.270950 | − | 0.469299i | ||||
\(587\) | −7.26235 | + | 41.1868i | −0.299749 | + | 1.69996i | 0.347497 | + | 0.937681i | \(0.387032\pi\) |
−0.647246 | + | 0.762281i | \(0.724079\pi\) | |||||||
\(588\) | −16.5880 | − | 1.36548i | −0.684076 | − | 0.0563116i | ||||
\(589\) | −1.46271 | − | 0.532383i | −0.0602699 | − | 0.0219365i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 34.7326 | + | 15.9795i | 1.42871 | + | 0.657309i | ||||
\(592\) | −10.1488 | − | 8.51582i | −0.417111 | − | 0.349998i | ||||
\(593\) | 31.5370 | 1.29507 | 0.647536 | − | 0.762035i | \(-0.275800\pi\) | ||||
0.647536 | + | 0.762035i | \(0.275800\pi\) | |||||||
\(594\) | −0.808405 | + | 11.2296i | −0.0331693 | + | 0.460757i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1.23583 | − | 1.03698i | −0.0506214 | − | 0.0424764i | ||||
\(597\) | −18.2179 | + | 12.8962i | −0.745611 | + | 0.527807i | ||||
\(598\) | 0.00134763 | + | 0.00764279i | 5.51087e−5 | + | 0.000312537i | ||||
\(599\) | 11.8686 | + | 4.31982i | 0.484938 | + | 0.176503i | 0.572907 | − | 0.819620i | \(-0.305816\pi\) |
−0.0879695 | + | 0.996123i | \(0.528038\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.56725 | − | 20.2309i | 0.145511 | − | 0.825235i | −0.821444 | − | 0.570289i | \(-0.806831\pi\) |
0.966955 | − | 0.254946i | \(-0.0820577\pi\) | |||||||
\(602\) | −2.27744 | + | 3.94465i | −0.0928216 | + | 0.160772i | ||||
\(603\) | −21.0023 | + | 25.5580i | −0.855282 | + | 1.04080i | ||||
\(604\) | 7.51556 | + | 13.0173i | 0.305804 | + | 0.529668i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −7.05769 | − | 6.98559i | −0.286699 | − | 0.283770i | ||||
\(607\) | −9.89160 | + | 8.30003i | −0.401487 | + | 0.336888i | −0.821068 | − | 0.570830i | \(-0.806622\pi\) |
0.419581 | + | 0.907718i | \(0.362177\pi\) | |||||||
\(608\) | 1.41448 | − | 1.18689i | 0.0573648 | − | 0.0481348i | ||||
\(609\) | 12.6827 | + | 12.5532i | 0.513930 | + | 0.508680i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.0640889 | − | 0.111005i | −0.00259276 | − | 0.00449079i | ||||
\(612\) | 10.9039 | − | 13.2691i | 0.440763 | − | 0.536371i | ||||
\(613\) | −15.5799 | + | 26.9851i | −0.629265 | + | 1.08992i | 0.358434 | + | 0.933555i | \(0.383311\pi\) |
−0.987699 | + | 0.156364i | \(0.950023\pi\) | |||||||
\(614\) | 0.585856 | − | 3.32255i | 0.0236432 | − | 0.134087i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −10.2836 | − | 3.74293i | −0.414339 | − | 0.150807i | ||||
\(617\) | 1.23998 | + | 7.03230i | 0.0499199 | + | 0.283110i | 0.999541 | − | 0.0302901i | \(-0.00964312\pi\) |
−0.949621 | + | 0.313400i | \(0.898532\pi\) | |||||||
\(618\) | 2.68129 | − | 1.89805i | 0.107857 | − | 0.0763506i | ||||
\(619\) | −7.68412 | − | 6.44774i | −0.308851 | − | 0.259157i | 0.475166 | − | 0.879896i | \(-0.342388\pi\) |
−0.784017 | + | 0.620740i | \(0.786832\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4.83569 | + | 2.34625i | −0.194049 | + | 0.0941520i | ||||
\(622\) | −9.90827 | −0.397285 | ||||||||
\(623\) | −3.40981 | − | 2.86117i | −0.136611 | − | 0.114630i | ||||
\(624\) | 0.0850787 | + | 0.0391423i | 0.00340587 | + | 0.00156695i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 10.5061 | + | 3.82392i | 0.419909 | + | 0.152835i | ||||
\(627\) | 3.75722 | + | 0.309286i | 0.150049 | + | 0.0123517i | ||||
\(628\) | 3.98552 | − | 22.6030i | 0.159039 | − | 0.901957i | ||||
\(629\) | 6.93093 | − | 12.0047i | 0.276354 | − | 0.478660i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.53780 | + | 6.12765i | 0.140838 | + | 0.243938i | 0.927812 | − | 0.373047i | \(-0.121687\pi\) |
−0.786975 | + | 0.616985i | \(0.788354\pi\) | |||||||
\(632\) | 0.730905 | − | 0.266028i | 0.0290738 | − | 0.0105820i | ||||
\(633\) | 10.5507 | − | 40.2002i | 0.419353 | − | 1.59781i | ||||
\(634\) | 2.65189 | − | 2.22520i | 0.105320 | − | 0.0883741i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −3.97070 | + | 1.08582i | −0.157448 | + | 0.0430557i | ||||
\(637\) | 0.0892352 | − | 0.0324790i | 0.00353563 | − | 0.00128686i | ||||
\(638\) | −8.45809 | − | 14.6498i | −0.334859 | − | 0.579993i | ||||
\(639\) | −11.8756 | − | 13.8613i | −0.469793 | − | 0.548344i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.870188 | + | 4.93508i | −0.0343704 | + | 0.194924i | −0.997158 | − | 0.0753337i | \(-0.975998\pi\) |
0.962788 | + | 0.270258i | \(0.0871089\pi\) | |||||||
\(642\) | 4.62838 | − | 6.68277i | 0.182667 | − | 0.263748i | ||||
\(643\) | 1.53960 | + | 0.560367i | 0.0607157 | + | 0.0220987i | 0.372199 | − | 0.928153i | \(-0.378604\pi\) |
−0.311484 | + | 0.950251i | \(0.600826\pi\) | |||||||
\(644\) | −0.433147 | − | 2.45650i | −0.0170684 | − | 0.0967997i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.416126 | + | 0.349171i | 0.0163722 | + | 0.0137379i | ||||
\(647\) | −34.4927 | −1.35605 | −0.678024 | − | 0.735040i | \(-0.737164\pi\) | ||||
−0.678024 | + | 0.735040i | \(0.737164\pi\) | |||||||
\(648\) | 2.19521 | − | 14.1420i | 0.0862359 | − | 0.555550i | ||||
\(649\) | 19.3056 | 0.757813 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.786571 | − | 8.48840i | −0.0308282 | − | 0.332687i | ||||
\(652\) | 1.05182 | + | 5.96515i | 0.0411923 | + | 0.233613i | ||||
\(653\) | 36.4230 | + | 13.2569i | 1.42534 | + | 0.518783i | 0.935593 | − | 0.353080i | \(-0.114866\pi\) |
0.489751 | + | 0.871862i | \(0.337088\pi\) | |||||||
\(654\) | 5.94223 | − | 8.57980i | 0.232360 | − | 0.335497i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 5.50161 | − | 9.52907i | 0.214802 | − | 0.372048i | ||||
\(657\) | 0.545365 | − | 1.54764i | 0.0212767 | − | 0.0603792i | ||||
\(658\) | −1.94575 | − | 3.37015i | −0.0758534 | − | 0.131382i | ||||
\(659\) | −8.82552 | + | 3.21223i | −0.343794 | + | 0.125131i | −0.508146 | − | 0.861271i | \(-0.669669\pi\) |
0.164352 | + | 0.986402i | \(0.447447\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.4980 | + | 15.5217i | −0.719489 | + | 0.603723i | −0.927244 | − | 0.374458i | \(-0.877829\pi\) |
0.207755 | + | 0.978181i | \(0.433384\pi\) | |||||||
\(662\) | −2.04335 | + | 1.71457i | −0.0794169 | + | 0.0666387i | ||||
\(663\) | −0.0248750 | + | 0.0947785i | −0.000966065 | + | 0.00368089i | ||||
\(664\) | −6.89399 | + | 2.50921i | −0.267539 | + | 0.0973761i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.0566265 | − | 5.51472i | −0.00219423 | − | 0.213691i | ||||
\(667\) | 4.03784 | − | 6.99375i | 0.156346 | − | 0.270799i | ||||
\(668\) | −6.52510 | + | 37.0057i | −0.252464 | + | 1.43179i | ||||
\(669\) | 37.3935 | + | 3.07815i | 1.44572 | + | 0.119008i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −6.26159 | − | 35.5112i | −0.241726 | − | 1.37090i | ||||
\(672\) | 9.18674 | + | 4.22656i | 0.354386 | + | 0.163043i | ||||
\(673\) | 20.2742 | + | 17.0121i | 0.781514 | + | 0.655768i | 0.943630 | − | 0.331003i | \(-0.107387\pi\) |
−0.162115 | + | 0.986772i | \(0.551832\pi\) | |||||||
\(674\) | −3.10557 | −0.119622 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 23.7554 | 0.913671 | ||||||||
\(677\) | −23.7986 | − | 19.9694i | −0.914654 | − | 0.767486i | 0.0583448 | − | 0.998296i | \(-0.481418\pi\) |
−0.972999 | + | 0.230811i | \(0.925862\pi\) | |||||||
\(678\) | 7.37609 | − | 5.22143i | 0.283277 | − | 0.200528i | ||||
\(679\) | −2.27807 | − | 12.9196i | −0.0874245 | − | 0.495809i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −16.0160 | − | 33.8910i | −0.613734 | − | 1.29871i | ||||
\(682\) | −1.40328 | + | 7.95842i | −0.0537345 | + | 0.304744i | ||||
\(683\) | 19.0681 | − | 33.0268i | 0.729619 | − | 1.26374i | −0.227425 | − | 0.973796i | \(-0.573031\pi\) |
0.957044 | − | 0.289942i | \(-0.0936359\pi\) | |||||||
\(684\) | −2.25719 | − | 0.374149i | −0.0863060 | − | 0.0143060i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 6.31558 | − | 2.29868i | 0.241130 | − | 0.0877642i | ||||
\(687\) | 13.3016 | + | 13.1657i | 0.507487 | + | 0.502303i | ||||
\(688\) | 19.0552 | − | 15.9892i | 0.726472 | − | 0.609583i | ||||
\(689\) | 0.0179917 | − | 0.0150968i | 0.000685428 | − | 0.000575142i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −30.9436 | + | 11.2626i | −1.17715 | + | 0.428448i | −0.855195 | − | 0.518306i | \(-0.826563\pi\) |
−0.321957 | + | 0.946754i | \(0.604341\pi\) | |||||||
\(692\) | −12.8221 | − | 22.2085i | −0.487424 | − | 0.844242i | ||||
\(693\) | 7.26030 | + | 19.3277i | 0.275796 | + | 0.734198i | ||||
\(694\) | −6.53414 | + | 11.3175i | −0.248033 | + | 0.429605i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 9.18742 | + | 19.4413i | 0.348248 | + | 0.736919i | ||||
\(697\) | 10.8185 | + | 3.93762i | 0.409781 | + | 0.149148i | ||||
\(698\) | 0.855130 | + | 4.84968i | 0.0323672 | + | 0.183563i | ||||
\(699\) | 10.7992 | − | 7.64461i | 0.408463 | − | 0.289146i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.30710 | −0.0871381 | −0.0435690 | − | 0.999050i | \(-0.513873\pi\) | ||||
−0.0435690 | + | 0.999050i | \(0.513873\pi\) | |||||||
\(702\) | 0.0106689 | + | 0.0374969i | 0.000402671 | + | 0.00141523i | ||||
\(703\) | −1.84668 | −0.0696490 | ||||||||
\(704\) | 16.5800 | + | 13.9123i | 0.624881 | + | 0.524338i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.592100 | + | 3.35796i | 0.0222840 | + | 0.126379i | ||||
\(707\) | −17.1120 | − | 6.22826i | −0.643563 | − | 0.234238i | ||||
\(708\) | −11.6772 | − | 0.961241i | −0.438857 | − | 0.0361257i | ||||
\(709\) | −1.93654 | + | 10.9826i | −0.0727281 | + | 0.412462i | 0.926608 | + | 0.376029i | \(0.122711\pi\) |
−0.999336 | + | 0.0364329i | \(0.988400\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.27830 | − | 0.720629i | −0.0479400 | − | 0.0270257i | ||||
\(712\) | −2.68184 | − | 4.64508i | −0.100506 | − | 0.174082i | ||||
\(713\) | −3.62525 | + | 1.31948i | −0.135767 | + | 0.0494151i | ||||
\(714\) | −0.755212 | + | 2.87750i | −0.0282631 | + | 0.107688i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −14.2646 | + | 11.9694i | −0.533092 | + | 0.447317i | ||||
\(717\) | −5.39888 | + | 1.47637i | −0.201625 | + | 0.0551362i | ||||
\(718\) | −6.92093 | + | 2.51901i | −0.258287 | + | 0.0940087i | ||||
\(719\) | 16.0850 | + | 27.8600i | 0.599869 | + | 1.03900i | 0.992840 | + | 0.119453i | \(0.0381140\pi\) |
−0.392971 | + | 0.919551i | \(0.628553\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.01213 | − | 5.21717i | 0.112178 | − | 0.194297i | ||||
\(722\) | −1.35819 | + | 7.70267i | −0.0505465 | + | 0.286664i | ||||
\(723\) | −26.1777 | + | 37.7972i | −0.973560 | + | 1.40569i | ||||
\(724\) | 41.3064 | + | 15.0343i | 1.53514 | + | 0.558745i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −1.07552 | − | 11.6066i | −0.0399163 | − | 0.430762i | ||||
\(727\) | 4.11022 | + | 3.44888i | 0.152440 | + | 0.127912i | 0.715818 | − | 0.698287i | \(-0.246054\pi\) |
−0.563378 | + | 0.826199i | \(0.690499\pi\) | |||||||
\(728\) | −0.0378942 | −0.00140445 | ||||||||
\(729\) | −22.9558 | + | 14.2138i | −0.850215 | + | 0.526435i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 19.9377 | + | 16.7297i | 0.737424 | + | 0.618772i | ||||
\(732\) | 2.01926 | + | 21.7911i | 0.0746338 | + | 0.805422i | ||||
\(733\) | 2.53463 | + | 14.3746i | 0.0936187 | + | 0.530938i | 0.995162 | + | 0.0982489i | \(0.0313241\pi\) |
−0.901543 | + | 0.432689i | \(0.857565\pi\) | |||||||
\(734\) | −7.93296 | − | 2.88736i | −0.292811 | − | 0.106574i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.794682 | − | 4.50687i | 0.0292924 | − | 0.166125i | ||||
\(737\) | 28.7534 | − | 49.8023i | 1.05915 | − | 1.83449i | ||||
\(738\) | 4.50245 | − | 0.841659i | 0.165737 | − | 0.0309819i | ||||
\(739\) | 21.6083 | + | 37.4266i | 0.794873 | + | 1.37676i | 0.922920 | + | 0.384992i | \(0.125796\pi\) |
−0.128047 | + | 0.991768i | \(0.540871\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.0125917 | − | 0.00344333i | 0.000462569 | − | 0.000126494i | ||||
\(742\) | 0.546231 | − | 0.458343i | 0.0200528 | − | 0.0168263i | ||||
\(743\) | −6.21431 | + | 5.21443i | −0.227981 | + | 0.191299i | −0.749622 | − | 0.661866i | \(-0.769765\pi\) |
0.521641 | + | 0.853165i | \(0.325320\pi\) | |||||||
\(744\) | 2.60770 | − | 9.93582i | 0.0956028 | − | 0.364265i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −2.01116 | − | 3.48342i | −0.0736336 | − | 0.127537i | ||||
\(747\) | 12.0571 | + | 6.79706i | 0.441146 | + | 0.248692i | ||||
\(748\) | −14.9280 | + | 25.8561i | −0.545823 | + | 0.945393i | ||||
\(749\) | 2.58860 | − | 14.6807i | 0.0945854 | − | 0.536420i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.22744 | − | 2.99454i | −0.300223 | − | 0.109272i | 0.187516 | − | 0.982261i | \(-0.439956\pi\) |
−0.487740 | + | 0.872989i | \(0.662178\pi\) | |||||||
\(752\) | 3.69037 | + | 20.9291i | 0.134574 | + | 0.763207i | ||||
\(753\) | −7.07968 | − | 3.25717i | −0.257998 | − | 0.118698i | ||||
\(754\) | −0.0448713 | − | 0.0376515i | −0.00163412 | − | 0.00137119i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −3.42913 | − | 12.0520i | −0.124716 | − | 0.438329i | ||||
\(757\) | 32.1511 | 1.16855 | 0.584276 | − | 0.811555i | \(-0.301378\pi\) | ||||
0.584276 | + | 0.811555i | \(0.301378\pi\) | |||||||
\(758\) | −1.31414 | − | 1.10269i | −0.0477316 | − | 0.0400515i | ||||
\(759\) | 7.62620 | − | 5.39848i | 0.276813 | − | 0.195952i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 23.0656 | + | 8.39520i | 0.836128 | + | 0.304326i | 0.724371 | − | 0.689410i | \(-0.242130\pi\) |
0.111756 | + | 0.993736i | \(0.464352\pi\) | |||||||
\(762\) | 2.58116 | + | 5.46192i | 0.0935054 | + | 0.197865i | ||||
\(763\) | 3.32342 | − | 18.8481i | 0.120316 | − | 0.682346i | ||||
\(764\) | 10.0016 | − | 17.3233i | 0.361846 | − | 0.626736i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.986770 | + | 1.70914i | 0.0356535 | + | 0.0617536i | ||||
\(767\) | 0.0628177 | − | 0.0228638i | 0.00226822 | − | 0.000825563i | ||||
\(768\) | −4.81033 | − | 4.76119i | −0.173578 | − | 0.171805i | ||||
\(769\) | 24.0648 | − | 20.1928i | 0.867800 | − | 0.728170i | −0.0958338 | − | 0.995397i | \(-0.530552\pi\) |
0.963634 | + | 0.267227i | \(0.0861073\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 16.9085 | + | 16.7358i | 0.608945 | + | 0.602725i | ||||
\(772\) | 18.5558 | − | 6.75377i | 0.667839 | − | 0.243073i | ||||
\(773\) | 14.3573 | + | 24.8675i | 0.516395 | + | 0.894422i |