Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(41,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bb (of order \(18\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 71.3 | ||
Character | \(\chi\) | \(=\) | 570.71 |
Dual form | 570.2.bb.b.281.3 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{18}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | −1.49197 | − | 0.879786i | −0.861390 | − | 0.507945i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −0.642788 | + | 0.766044i | −0.287463 | + | 0.342585i | ||||
\(6\) | −1.70290 | − | 0.316445i | −0.695205 | − | 0.129188i | ||||
\(7\) | −1.40312 | − | 2.43028i | −0.530330 | − | 0.918559i | −0.999374 | − | 0.0353838i | \(-0.988735\pi\) |
0.469044 | − | 0.883175i | \(-0.344599\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 1.45195 | + | 2.62523i | 0.483984 | + | 0.875077i | ||||
\(10\) | −0.342020 | + | 0.939693i | −0.108156 | + | 0.297157i | ||||
\(11\) | −2.54956 | − | 1.47199i | −0.768721 | − | 0.443821i | 0.0636974 | − | 0.997969i | \(-0.479711\pi\) |
−0.832418 | + | 0.554148i | \(0.813044\pi\) | |||||||
\(12\) | −1.70843 | + | 0.285065i | −0.493182 | + | 0.0822911i | ||||
\(13\) | −3.36962 | + | 0.594154i | −0.934563 | + | 0.164789i | −0.620137 | − | 0.784493i | \(-0.712923\pi\) |
−0.314426 | + | 0.949282i | \(0.601812\pi\) | |||||||
\(14\) | −2.14971 | − | 1.80382i | −0.574533 | − | 0.482091i | ||||
\(15\) | 1.63298 | − | 0.577400i | 0.421632 | − | 0.149084i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 0.0612457 | + | 0.168271i | 0.0148543 | + | 0.0408117i | 0.946898 | − | 0.321534i | \(-0.104198\pi\) |
−0.932044 | + | 0.362345i | \(0.881976\pi\) | |||||||
\(18\) | 2.26227 | + | 1.97031i | 0.533222 | + | 0.464407i | ||||
\(19\) | −4.29273 | − | 0.756593i | −0.984821 | − | 0.173574i | ||||
\(20\) | 1.00000i | 0.223607i | ||||||||
\(21\) | −0.0447097 | + | 4.86035i | −0.00975645 | + | 1.06062i | ||||
\(22\) | −2.89925 | − | 0.511216i | −0.618122 | − | 0.108992i | ||||
\(23\) | −0.509670 | − | 0.607401i | −0.106274 | − | 0.126652i | 0.710286 | − | 0.703913i | \(-0.248566\pi\) |
−0.816559 | + | 0.577262i | \(0.804121\pi\) | |||||||
\(24\) | −1.50790 | + | 0.852191i | −0.307799 | + | 0.173953i | ||||
\(25\) | −0.173648 | − | 0.984808i | −0.0347296 | − | 0.196962i | ||||
\(26\) | −2.96319 | + | 1.71080i | −0.581129 | + | 0.335515i | ||||
\(27\) | 0.143374 | − | 5.19417i | 0.0275923 | − | 0.999619i | ||||
\(28\) | −2.63701 | − | 0.959792i | −0.498347 | − | 0.181384i | ||||
\(29\) | 0.910982 | + | 0.331570i | 0.169165 | + | 0.0615710i | 0.425214 | − | 0.905093i | \(-0.360199\pi\) |
−0.256049 | + | 0.966664i | \(0.582421\pi\) | |||||||
\(30\) | 1.33701 | − | 1.10109i | 0.244104 | − | 0.201030i | ||||
\(31\) | −6.29928 | + | 3.63689i | −1.13138 | + | 0.653205i | −0.944282 | − | 0.329136i | \(-0.893242\pi\) |
−0.187101 | + | 0.982341i | \(0.559909\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | 2.50883 | + | 4.43923i | 0.436731 | + | 0.772771i | ||||
\(34\) | 0.115104 | + | 0.137176i | 0.0197402 | + | 0.0235255i | ||||
\(35\) | 2.76361 | + | 0.487299i | 0.467135 | + | 0.0823686i | ||||
\(36\) | 2.79973 | + | 1.07775i | 0.466621 | + | 0.179625i | ||||
\(37\) | − | 6.44330i | − | 1.05927i | −0.848225 | − | 0.529636i | \(-0.822329\pi\) | ||
0.848225 | − | 0.529636i | \(-0.177671\pi\) | |||||||
\(38\) | −4.29262 | + | 0.757237i | −0.696355 | + | 0.122840i | ||||
\(39\) | 5.55010 | + | 2.07808i | 0.888727 | + | 0.332759i | ||||
\(40\) | 0.342020 | + | 0.939693i | 0.0540781 | + | 0.148578i | ||||
\(41\) | −1.59026 | + | 9.01881i | −0.248357 | + | 1.40850i | 0.564209 | + | 0.825632i | \(0.309181\pi\) |
−0.812566 | + | 0.582869i | \(0.801930\pi\) | |||||||
\(42\) | 1.62032 | + | 4.58253i | 0.250022 | + | 0.707099i | ||||
\(43\) | −8.49079 | − | 7.12462i | −1.29483 | − | 1.08649i | −0.991013 | − | 0.133765i | \(-0.957293\pi\) |
−0.303820 | − | 0.952729i | \(-0.598262\pi\) | |||||||
\(44\) | −2.89925 | + | 0.511216i | −0.437078 | + | 0.0770687i | ||||
\(45\) | −2.94434 | − | 0.575206i | −0.438916 | − | 0.0857467i | ||||
\(46\) | −0.686676 | − | 0.396453i | −0.101245 | − | 0.0584538i | ||||
\(47\) | −0.0674464 | + | 0.185308i | −0.00983807 | + | 0.0270299i | −0.944514 | − | 0.328470i | \(-0.893467\pi\) |
0.934676 | + | 0.355500i | \(0.115689\pi\) | |||||||
\(48\) | −1.12550 | + | 1.31653i | −0.162452 | + | 0.190025i | ||||
\(49\) | −0.437502 | + | 0.757775i | −0.0625003 | + | 0.108254i | ||||
\(50\) | −0.500000 | − | 0.866025i | −0.0707107 | − | 0.122474i | ||||
\(51\) | 0.0566659 | − | 0.304939i | 0.00793482 | − | 0.0427000i | ||||
\(52\) | −2.19936 | + | 2.62110i | −0.304996 | + | 0.363481i | ||||
\(53\) | 4.35018 | − | 3.65024i | 0.597544 | − | 0.501399i | −0.293111 | − | 0.956078i | \(-0.594691\pi\) |
0.890655 | + | 0.454680i | \(0.150246\pi\) | |||||||
\(54\) | −1.64178 | − | 4.92996i | −0.223419 | − | 0.670883i | ||||
\(55\) | 2.76643 | − | 1.00690i | 0.373026 | − | 0.135770i | ||||
\(56\) | −2.80624 | −0.375000 | ||||||||
\(57\) | 5.73899 | + | 4.90550i | 0.760148 | + | 0.649750i | ||||
\(58\) | 0.969446 | 0.127295 | ||||||||
\(59\) | 13.0683 | − | 4.75646i | 1.70134 | − | 0.619238i | 0.705365 | − | 0.708844i | \(-0.250783\pi\) |
0.995977 | + | 0.0896064i | \(0.0285609\pi\) | |||||||
\(60\) | 0.879786 | − | 1.49197i | 0.113580 | − | 0.192613i | ||||
\(61\) | −0.563021 | + | 0.472431i | −0.0720874 | + | 0.0604885i | −0.678119 | − | 0.734952i | \(-0.737205\pi\) |
0.606032 | + | 0.795440i | \(0.292760\pi\) | |||||||
\(62\) | −4.67549 | + | 5.57204i | −0.593788 | + | 0.707649i | ||||
\(63\) | 4.34278 | − | 7.21217i | 0.547138 | − | 0.908647i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 1.71080 | − | 2.96319i | 0.212198 | − | 0.367539i | ||||
\(66\) | 3.87583 | + | 3.31344i | 0.477082 | + | 0.407856i | ||||
\(67\) | 1.87423 | − | 5.14941i | 0.228974 | − | 0.629101i | −0.770996 | − | 0.636840i | \(-0.780241\pi\) |
0.999970 | + | 0.00773916i | \(0.00246348\pi\) | |||||||
\(68\) | 0.155080 | + | 0.0895352i | 0.0188062 | + | 0.0108577i | ||||
\(69\) | 0.226029 | + | 1.35462i | 0.0272107 | + | 0.163078i | ||||
\(70\) | 2.76361 | − | 0.487299i | 0.330315 | − | 0.0582434i | ||||
\(71\) | 7.97550 | + | 6.69224i | 0.946518 | + | 0.794223i | 0.978708 | − | 0.205259i | \(-0.0658036\pi\) |
−0.0321896 | + | 0.999482i | \(0.510248\pi\) | |||||||
\(72\) | 2.99949 | + | 0.0551885i | 0.353494 | + | 0.00650403i | ||||
\(73\) | −0.0632772 | + | 0.358863i | −0.00740603 | + | 0.0420017i | −0.988287 | − | 0.152608i | \(-0.951233\pi\) |
0.980881 | + | 0.194610i | \(0.0623440\pi\) | |||||||
\(74\) | −2.20374 | − | 6.05472i | −0.256179 | − | 0.703847i | ||||
\(75\) | −0.607343 | + | 1.62208i | −0.0701299 | + | 0.187301i | ||||
\(76\) | −3.77475 | + | 2.17973i | −0.432994 | + | 0.250032i | ||||
\(77\) | 8.26151i | 0.941487i | ||||||||
\(78\) | 5.92613 | + | 0.0545136i | 0.671002 | + | 0.00617245i | ||||
\(79\) | −5.27331 | − | 0.929827i | −0.593294 | − | 0.104614i | −0.131064 | − | 0.991374i | \(-0.541839\pi\) |
−0.462230 | + | 0.886760i | \(0.652950\pi\) | |||||||
\(80\) | 0.642788 | + | 0.766044i | 0.0718658 | + | 0.0856464i | ||||
\(81\) | −4.78367 | + | 7.62342i | −0.531519 | + | 0.847046i | ||||
\(82\) | 1.59026 | + | 9.01881i | 0.175615 | + | 0.995960i | ||||
\(83\) | 11.2590 | − | 6.50039i | 1.23584 | − | 0.713510i | 0.267596 | − | 0.963531i | \(-0.413771\pi\) |
0.968240 | + | 0.250021i | \(0.0804375\pi\) | |||||||
\(84\) | 3.08992 | + | 3.75198i | 0.337138 | + | 0.409375i | ||||
\(85\) | −0.168271 | − | 0.0612457i | −0.0182516 | − | 0.00664303i | ||||
\(86\) | −10.4155 | − | 3.79093i | −1.12313 | − | 0.408787i | ||||
\(87\) | −1.06745 | − | 1.29616i | −0.114442 | − | 0.138963i | ||||
\(88\) | −2.54956 | + | 1.47199i | −0.271784 | + | 0.156914i | ||||
\(89\) | −2.29593 | − | 13.0209i | −0.243368 | − | 1.38021i | −0.824253 | − | 0.566222i | \(-0.808405\pi\) |
0.580885 | − | 0.813986i | \(-0.302707\pi\) | |||||||
\(90\) | −2.96351 | + | 0.466506i | −0.312381 | + | 0.0491741i | ||||
\(91\) | 6.17194 | + | 7.35543i | 0.646995 | + | 0.771059i | ||||
\(92\) | −0.780860 | − | 0.137687i | −0.0814102 | − | 0.0143548i | ||||
\(93\) | 12.5980 | + | 0.115887i | 1.30635 | + | 0.0120170i | ||||
\(94\) | 0.197200i | 0.0203396i | ||||||||
\(95\) | 3.33890 | − | 2.80210i | 0.342564 | − | 0.287489i | ||||
\(96\) | −0.607343 | + | 1.62208i | −0.0619866 | + | 0.165553i | ||||
\(97\) | 3.38911 | + | 9.31151i | 0.344112 | + | 0.945440i | 0.984188 | + | 0.177128i | \(0.0566808\pi\) |
−0.640076 | + | 0.768312i | \(0.721097\pi\) | |||||||
\(98\) | −0.151943 | + | 0.861710i | −0.0153485 | + | 0.0870459i | ||||
\(99\) | 0.162474 | − | 8.83043i | 0.0163292 | − | 0.887492i | ||||
\(100\) | −0.766044 | − | 0.642788i | −0.0766044 | − | 0.0642788i | ||||
\(101\) | −7.59289 | + | 1.33883i | −0.755521 | + | 0.133219i | −0.538125 | − | 0.842865i | \(-0.680867\pi\) |
−0.217395 | + | 0.976084i | \(0.569756\pi\) | |||||||
\(102\) | −0.0510466 | − | 0.305930i | −0.00505437 | − | 0.0302915i | ||||
\(103\) | −2.73049 | − | 1.57645i | −0.269043 | − | 0.155332i | 0.359410 | − | 0.933180i | \(-0.382978\pi\) |
−0.628453 | + | 0.777848i | \(0.716311\pi\) | |||||||
\(104\) | −1.17026 | + | 3.21525i | −0.114753 | + | 0.315281i | ||||
\(105\) | −3.69451 | − | 3.15842i | −0.360547 | − | 0.308231i | ||||
\(106\) | 2.83938 | − | 4.91795i | 0.275785 | − | 0.477674i | ||||
\(107\) | −4.83981 | − | 8.38280i | −0.467882 | − | 0.810396i | 0.531444 | − | 0.847093i | \(-0.321650\pi\) |
−0.999326 | + | 0.0366974i | \(0.988316\pi\) | |||||||
\(108\) | −3.22892 | − | 4.07113i | −0.310703 | − | 0.391744i | ||||
\(109\) | 10.6759 | − | 12.7231i | 1.02257 | − | 1.21865i | 0.0470125 | − | 0.998894i | \(-0.485030\pi\) |
0.975555 | − | 0.219754i | \(-0.0705256\pi\) | |||||||
\(110\) | 2.25522 | − | 1.89235i | 0.215026 | − | 0.180429i | ||||
\(111\) | −5.66872 | + | 9.61321i | −0.538051 | + | 0.912445i | ||||
\(112\) | −2.63701 | + | 0.959792i | −0.249174 | + | 0.0906918i | ||||
\(113\) | −1.29530 | −0.121852 | −0.0609259 | − | 0.998142i | \(-0.519405\pi\) | ||||
−0.0609259 | + | 0.998142i | \(0.519405\pi\) | |||||||
\(114\) | 7.07067 | + | 2.64681i | 0.662229 | + | 0.247897i | ||||
\(115\) | 0.792906 | 0.0739388 | ||||||||
\(116\) | 0.910982 | − | 0.331570i | 0.0845825 | − | 0.0307855i | ||||
\(117\) | −6.45231 | − | 7.98334i | −0.596516 | − | 0.738060i | ||||
\(118\) | 10.6533 | − | 8.93921i | 0.980720 | − | 0.822921i | ||||
\(119\) | 0.323011 | − | 0.384949i | 0.0296103 | − | 0.0352882i | ||||
\(120\) | 0.316445 | − | 1.70290i | 0.0288873 | − | 0.155453i | ||||
\(121\) | −1.16650 | − | 2.02044i | −0.106046 | − | 0.183677i | ||||
\(122\) | −0.367486 | + | 0.636504i | −0.0332706 | + | 0.0576264i | ||||
\(123\) | 10.3072 | − | 12.0567i | 0.929373 | − | 1.08712i | ||||
\(124\) | −2.48778 | + | 6.83512i | −0.223409 | + | 0.613811i | ||||
\(125\) | 0.866025 | + | 0.500000i | 0.0774597 | + | 0.0447214i | ||||
\(126\) | 1.61417 | − | 8.26254i | 0.143802 | − | 0.736085i | ||||
\(127\) | 18.9670 | − | 3.34439i | 1.68305 | − | 0.296766i | 0.751323 | − | 0.659935i | \(-0.229416\pi\) |
0.931723 | + | 0.363169i | \(0.118305\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | 6.39987 | + | 18.0998i | 0.563477 | + | 1.59360i | ||||
\(130\) | 0.594154 | − | 3.36962i | 0.0521108 | − | 0.295535i | ||||
\(131\) | 0.673684 | + | 1.85093i | 0.0588601 | + | 0.161717i | 0.965637 | − | 0.259893i | \(-0.0836874\pi\) |
−0.906777 | + | 0.421610i | \(0.861465\pi\) | |||||||
\(132\) | 4.77536 | + | 1.78800i | 0.415641 | + | 0.155626i | ||||
\(133\) | 4.18450 | + | 11.4941i | 0.362842 | + | 0.996668i | ||||
\(134\) | − | 5.47989i | − | 0.473390i | ||||||
\(135\) | 3.88681 | + | 3.44858i | 0.334523 | + | 0.296807i | ||||
\(136\) | 0.176350 | + | 0.0310953i | 0.0151219 | + | 0.00266640i | ||||
\(137\) | −5.59120 | − | 6.66334i | −0.477689 | − | 0.569287i | 0.472353 | − | 0.881409i | \(-0.343405\pi\) |
−0.950042 | + | 0.312122i | \(0.898960\pi\) | |||||||
\(138\) | 0.675707 | + | 1.19562i | 0.0575200 | + | 0.101778i | ||||
\(139\) | 0.188870 | + | 1.07114i | 0.0160198 | + | 0.0908526i | 0.991769 | − | 0.128037i | \(-0.0408676\pi\) |
−0.975750 | + | 0.218890i | \(0.929757\pi\) | |||||||
\(140\) | 2.43028 | − | 1.40312i | 0.205396 | − | 0.118585i | ||||
\(141\) | 0.263659 | − | 0.217135i | 0.0222041 | − | 0.0182861i | ||||
\(142\) | 9.78340 | + | 3.56087i | 0.821005 | + | 0.298821i | ||||
\(143\) | 9.46562 | + | 3.44520i | 0.791555 | + | 0.288102i | ||||
\(144\) | 2.83748 | − | 0.974027i | 0.236456 | − | 0.0811689i | ||||
\(145\) | −0.839565 | + | 0.484723i | −0.0697221 | + | 0.0402541i | ||||
\(146\) | 0.0632772 | + | 0.358863i | 0.00523686 | + | 0.0296997i | ||||
\(147\) | 1.31942 | − | 0.745670i | 0.108824 | − | 0.0615019i | ||||
\(148\) | −4.14167 | − | 4.93585i | −0.340443 | − | 0.405724i | ||||
\(149\) | 2.34227 | + | 0.413006i | 0.191886 | + | 0.0338347i | 0.268765 | − | 0.963206i | \(-0.413384\pi\) |
−0.0768790 | + | 0.997040i | \(0.524496\pi\) | |||||||
\(150\) | −0.0159322 | + | 1.73198i | −0.00130086 | + | 0.141415i | ||||
\(151\) | − | 5.17855i | − | 0.421424i | −0.977548 | − | 0.210712i | \(-0.932422\pi\) | ||
0.977548 | − | 0.210712i | \(-0.0675782\pi\) | |||||||
\(152\) | −2.80160 | + | 3.33932i | −0.227239 | + | 0.270855i | ||||
\(153\) | −0.352825 | + | 0.405106i | −0.0285242 | + | 0.0327508i | ||||
\(154\) | 2.82560 | + | 7.76328i | 0.227694 | + | 0.625583i | ||||
\(155\) | 1.26308 | − | 7.16327i | 0.101453 | − | 0.575368i | ||||
\(156\) | 5.58738 | − | 1.97563i | 0.447349 | − | 0.158177i | ||||
\(157\) | −9.72181 | − | 8.15757i | −0.775885 | − | 0.651045i | 0.166324 | − | 0.986071i | \(-0.446810\pi\) |
−0.942209 | + | 0.335027i | \(0.891255\pi\) | |||||||
\(158\) | −5.27331 | + | 0.929827i | −0.419522 | + | 0.0739730i | ||||
\(159\) | −9.70177 | + | 1.61881i | −0.769401 | + | 0.128380i | ||||
\(160\) | 0.866025 | + | 0.500000i | 0.0684653 | + | 0.0395285i | ||||
\(161\) | −0.761024 | + | 2.09090i | −0.0599771 | + | 0.164786i | ||||
\(162\) | −1.88782 | + | 8.79978i | −0.148321 | + | 0.691376i | ||||
\(163\) | −8.60944 | + | 14.9120i | −0.674344 | + | 1.16800i | 0.302316 | + | 0.953208i | \(0.402240\pi\) |
−0.976660 | + | 0.214790i | \(0.931093\pi\) | |||||||
\(164\) | 4.57897 | + | 7.93100i | 0.357557 | + | 0.619307i | ||||
\(165\) | −5.01329 | − | 0.931606i | −0.390284 | − | 0.0725254i | ||||
\(166\) | 8.35674 | − | 9.95917i | 0.648609 | − | 0.772982i | ||||
\(167\) | −12.0274 | + | 10.0922i | −0.930708 | + | 0.780957i | −0.975944 | − | 0.218019i | \(-0.930040\pi\) |
0.0452362 | + | 0.998976i | \(0.485596\pi\) | |||||||
\(168\) | 4.18683 | + | 2.46890i | 0.323021 | + | 0.190479i | ||||
\(169\) | −1.21471 | + | 0.442120i | −0.0934396 | + | 0.0340092i | ||||
\(170\) | −0.179070 | −0.0137341 | ||||||||
\(171\) | −4.24661 | − | 12.3680i | −0.324746 | − | 0.945801i | ||||
\(172\) | −11.0839 | −0.845143 | ||||||||
\(173\) | 12.6328 | − | 4.59796i | 0.960453 | − | 0.349576i | 0.186242 | − | 0.982504i | \(-0.440369\pi\) |
0.774211 | + | 0.632927i | \(0.218147\pi\) | |||||||
\(174\) | −1.44639 | − | 0.852906i | −0.109650 | − | 0.0646586i | ||||
\(175\) | −2.14971 | + | 1.80382i | −0.162503 | + | 0.136356i | ||||
\(176\) | −1.89235 | + | 2.25522i | −0.142641 | + | 0.169993i | ||||
\(177\) | −23.6821 | − | 4.40078i | −1.78006 | − | 0.330783i | ||||
\(178\) | −6.61086 | − | 11.4503i | −0.495505 | − | 0.858240i | ||||
\(179\) | −7.62595 | + | 13.2085i | −0.569990 | + | 0.987252i | 0.426576 | + | 0.904452i | \(0.359720\pi\) |
−0.996566 | + | 0.0828000i | \(0.973614\pi\) | |||||||
\(180\) | −2.62523 | + | 1.45195i | −0.195673 | + | 0.108222i | ||||
\(181\) | −7.89648 | + | 21.6954i | −0.586940 | + | 1.61261i | 0.189125 | + | 0.981953i | \(0.439435\pi\) |
−0.776065 | + | 0.630653i | \(0.782787\pi\) | |||||||
\(182\) | 8.31543 | + | 4.80092i | 0.616381 | + | 0.355868i | ||||
\(183\) | 1.25565 | − | 0.209514i | 0.0928202 | − | 0.0154877i | ||||
\(184\) | −0.780860 | + | 0.137687i | −0.0575657 | + | 0.0101504i | ||||
\(185\) | 4.93585 | + | 4.14167i | 0.362891 | + | 0.304502i | ||||
\(186\) | 11.8779 | − | 4.19988i | 0.870930 | − | 0.307950i | ||||
\(187\) | 0.0915437 | − | 0.519170i | 0.00669434 | − | 0.0379655i | ||||
\(188\) | 0.0674464 | + | 0.185308i | 0.00491904 | + | 0.0135149i | ||||
\(189\) | −12.8245 | + | 6.93962i | −0.932842 | + | 0.504783i | ||||
\(190\) | 2.17917 | − | 3.77508i | 0.158093 | − | 0.273873i | ||||
\(191\) | 13.1408i | 0.950835i | 0.879760 | + | 0.475417i | \(0.157703\pi\) | ||||
−0.879760 | + | 0.475417i | \(0.842297\pi\) | |||||||
\(192\) | −0.0159322 | + | 1.73198i | −0.00114981 | + | 0.124995i | ||||
\(193\) | −12.3983 | − | 2.18615i | −0.892448 | − | 0.157363i | −0.291424 | − | 0.956594i | \(-0.594129\pi\) |
−0.601024 | + | 0.799231i | \(0.705240\pi\) | |||||||
\(194\) | 6.36945 | + | 7.59081i | 0.457300 | + | 0.544989i | ||||
\(195\) | −5.15944 | + | 2.91585i | −0.369475 | + | 0.208809i | ||||
\(196\) | 0.151943 | + | 0.861710i | 0.0108531 | + | 0.0615507i | ||||
\(197\) | −5.82696 | + | 3.36419i | −0.415153 | + | 0.239689i | −0.693002 | − | 0.720936i | \(-0.743712\pi\) |
0.277848 | + | 0.960625i | \(0.410379\pi\) | |||||||
\(198\) | −2.86751 | − | 8.35346i | −0.203785 | − | 0.593655i | ||||
\(199\) | 7.53380 | + | 2.74208i | 0.534057 | + | 0.194381i | 0.594949 | − | 0.803764i | \(-0.297172\pi\) |
−0.0608920 | + | 0.998144i | \(0.519395\pi\) | |||||||
\(200\) | −0.939693 | − | 0.342020i | −0.0664463 | − | 0.0241845i | ||||
\(201\) | −7.32668 | + | 6.03384i | −0.516784 | + | 0.425595i | ||||
\(202\) | −6.67707 | + | 3.85501i | −0.469797 | + | 0.271238i | ||||
\(203\) | −0.472410 | − | 2.67917i | −0.0331567 | − | 0.188041i | ||||
\(204\) | −0.152602 | − | 0.270021i | −0.0106843 | − | 0.0189052i | ||||
\(205\) | −5.88661 | − | 7.01539i | −0.411138 | − | 0.489976i | ||||
\(206\) | −3.10499 | − | 0.547494i | −0.216335 | − | 0.0381457i | ||||
\(207\) | 0.854552 | − | 2.21992i | 0.0593954 | − | 0.154295i | ||||
\(208\) | 3.42160i | 0.237245i | ||||||||
\(209\) | 9.83088 | + | 8.24783i | 0.680016 | + | 0.570514i | ||||
\(210\) | −4.55194 | − | 1.70435i | −0.314114 | − | 0.117611i | ||||
\(211\) | −3.66588 | − | 10.0719i | −0.252370 | − | 0.693380i | −0.999585 | − | 0.0287981i | \(-0.990832\pi\) |
0.747216 | − | 0.664582i | \(-0.231390\pi\) | |||||||
\(212\) | 0.986106 | − | 5.59249i | 0.0677261 | − | 0.384094i | ||||
\(213\) | −6.01147 | − | 17.0014i | −0.411899 | − | 1.16491i | ||||
\(214\) | −7.41502 | − | 6.22194i | −0.506881 | − | 0.425323i | ||||
\(215\) | 10.9156 | − | 1.92471i | 0.744434 | − | 0.131264i | ||||
\(216\) | −4.42660 | − | 2.72125i | −0.301192 | − | 0.185158i | ||||
\(217\) | 17.6773 | + | 10.2060i | 1.20001 | + | 0.692828i | ||||
\(218\) | 5.68054 | − | 15.6072i | 0.384735 | − | 1.05705i | ||||
\(219\) | 0.410130 | − | 0.479742i | 0.0277140 | − | 0.0324180i | ||||
\(220\) | 1.47199 | − | 2.54956i | 0.0992414 | − | 0.171891i | ||||
\(221\) | −0.306353 | − | 0.530620i | −0.0206076 | − | 0.0356933i | ||||
\(222\) | −2.03895 | + | 10.9723i | −0.136845 | + | 0.736411i | ||||
\(223\) | 4.96798 | − | 5.92061i | 0.332681 | − | 0.396473i | −0.573610 | − | 0.819129i | \(-0.694457\pi\) |
0.906290 | + | 0.422655i | \(0.138902\pi\) | |||||||
\(224\) | −2.14971 | + | 1.80382i | −0.143633 | + | 0.120523i | ||||
\(225\) | 2.33322 | − | 1.88576i | 0.155548 | − | 0.125717i | ||||
\(226\) | −1.21719 | + | 0.443020i | −0.0809661 | + | 0.0294692i | ||||
\(227\) | −28.5580 | −1.89546 | −0.947731 | − | 0.319071i | \(-0.896629\pi\) | ||||
−0.947731 | + | 0.319071i | \(0.896629\pi\) | |||||||
\(228\) | 7.54952 | + | 0.0688810i | 0.499979 | + | 0.00456176i | ||||
\(229\) | −15.1214 | −0.999251 | −0.499625 | − | 0.866242i | \(-0.666529\pi\) | ||||
−0.499625 | + | 0.866242i | \(0.666529\pi\) | |||||||
\(230\) | 0.745088 | − | 0.271190i | 0.0491296 | − | 0.0178817i | ||||
\(231\) | 7.26837 | − | 12.3259i | 0.478224 | − | 0.810987i | ||||
\(232\) | 0.742639 | − | 0.623148i | 0.0487566 | − | 0.0409117i | ||||
\(233\) | −8.95592 | + | 10.6733i | −0.586722 | + | 0.699228i | −0.974972 | − | 0.222326i | \(-0.928635\pi\) |
0.388250 | + | 0.921554i | \(0.373080\pi\) | |||||||
\(234\) | −8.79365 | − | 5.29506i | −0.574859 | − | 0.346149i | ||||
\(235\) | −0.0986001 | − | 0.170780i | −0.00643196 | − | 0.0111405i | ||||
\(236\) | 6.95347 | − | 12.0438i | 0.452633 | − | 0.783983i | ||||
\(237\) | 7.04957 | + | 6.02666i | 0.457919 | + | 0.391474i | ||||
\(238\) | 0.171870 | − | 0.472210i | 0.0111407 | − | 0.0306088i | ||||
\(239\) | 21.7776 | + | 12.5733i | 1.40867 | + | 0.813299i | 0.995261 | − | 0.0972441i | \(-0.0310028\pi\) |
0.413414 | + | 0.910543i | \(0.364336\pi\) | |||||||
\(240\) | −0.285065 | − | 1.70843i | −0.0184008 | − | 0.110279i | ||||
\(241\) | 13.0786 | − | 2.30611i | 0.842468 | − | 0.148550i | 0.264273 | − | 0.964448i | \(-0.414868\pi\) |
0.578196 | + | 0.815898i | \(0.303757\pi\) | |||||||
\(242\) | −1.78719 | − | 1.49963i | −0.114885 | − | 0.0963997i | ||||
\(243\) | 13.8441 | − | 7.16530i | 0.888098 | − | 0.459654i | ||||
\(244\) | −0.127626 | + | 0.723806i | −0.00817045 | + | 0.0463369i | ||||
\(245\) | −0.299269 | − | 0.822235i | −0.0191196 | − | 0.0525306i | ||||
\(246\) | 5.56200 | − | 14.8549i | 0.354620 | − | 0.947113i | ||||
\(247\) | 14.9144 | − | 0.00111801i | 0.948980 | − | 7.11375e-5i | ||||
\(248\) | 7.27378i | 0.461885i | ||||||||
\(249\) | −22.5171 | − | 0.207131i | −1.42696 | − | 0.0131264i | ||||
\(250\) | 0.984808 | + | 0.173648i | 0.0622847 | + | 0.0109825i | ||||
\(251\) | −15.7882 | − | 18.8156i | −0.996541 | − | 1.18763i | −0.982220 | − | 0.187734i | \(-0.939886\pi\) |
−0.0143215 | − | 0.999897i | \(-0.504559\pi\) | |||||||
\(252\) | −1.30913 | − | 8.31632i | −0.0824675 | − | 0.523879i | ||||
\(253\) | 0.405346 | + | 2.29883i | 0.0254839 | + | 0.144526i | ||||
\(254\) | 16.6793 | − | 9.62978i | 1.04655 | − | 0.604226i | ||||
\(255\) | 0.197172 | + | 0.239419i | 0.0123474 | + | 0.0149930i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 16.3671 | + | 5.95713i | 1.02095 | + | 0.371596i | 0.797628 | − | 0.603149i | \(-0.206088\pi\) |
0.223322 | + | 0.974745i | \(0.428310\pi\) | |||||||
\(258\) | 12.2044 | + | 14.8194i | 0.759813 | + | 0.922614i | ||||
\(259\) | −15.6590 | + | 9.04073i | −0.973003 | + | 0.561764i | ||||
\(260\) | −0.594154 | − | 3.36962i | −0.0368479 | − | 0.208975i | ||||
\(261\) | 0.452253 | + | 2.87296i | 0.0279937 | + | 0.177832i | ||||
\(262\) | 1.26611 | + | 1.50889i | 0.0782207 | + | 0.0932198i | ||||
\(263\) | −21.6013 | − | 3.80890i | −1.33199 | − | 0.234867i | −0.538079 | − | 0.842895i | \(-0.680850\pi\) |
−0.793916 | + | 0.608028i | \(0.791961\pi\) | |||||||
\(264\) | 5.09890 | + | 0.0469041i | 0.313816 | + | 0.00288675i | ||||
\(265\) | 5.67876i | 0.348843i | ||||||||
\(266\) | 7.86337 | + | 9.36977i | 0.482134 | + | 0.574497i | ||||
\(267\) | −8.03011 | + | 21.4467i | −0.491435 | + | 1.31251i | ||||
\(268\) | −1.87423 | − | 5.14941i | −0.114487 | − | 0.314550i | ||||
\(269\) | 0.185203 | − | 1.05034i | 0.0112920 | − | 0.0640402i | −0.978641 | − | 0.205576i | \(-0.934093\pi\) |
0.989933 | + | 0.141536i | \(0.0452042\pi\) | |||||||
\(270\) | 4.83189 | + | 1.91124i | 0.294059 | + | 0.116314i | ||||
\(271\) | −20.1368 | − | 16.8968i | −1.22322 | − | 1.02641i | −0.998650 | − | 0.0519488i | \(-0.983457\pi\) |
−0.224573 | − | 0.974457i | \(-0.572099\pi\) | |||||||
\(272\) | 0.176350 | − | 0.0310953i | 0.0106928 | − | 0.00188543i | ||||
\(273\) | −2.73714 | − | 16.4041i | −0.165659 | − | 0.992820i | ||||
\(274\) | −7.53301 | − | 4.34919i | −0.455086 | − | 0.262744i | ||||
\(275\) | −1.00690 | + | 2.76643i | −0.0607183 | + | 0.166822i | ||||
\(276\) | 1.04388 | + | 0.892414i | 0.0628345 | + | 0.0537170i | ||||
\(277\) | −2.17313 | + | 3.76397i | −0.130571 | + | 0.226155i | −0.923897 | − | 0.382642i | \(-0.875014\pi\) |
0.793326 | + | 0.608797i | \(0.208348\pi\) | |||||||
\(278\) | 0.543830 | + | 0.941941i | 0.0326167 | + | 0.0564939i | ||||
\(279\) | −18.6939 | − | 11.2565i | −1.11918 | − | 0.673907i | ||||
\(280\) | 1.80382 | − | 2.14971i | 0.107799 | − | 0.128470i | ||||
\(281\) | 4.32981 | − | 3.63314i | 0.258295 | − | 0.216735i | −0.504439 | − | 0.863447i | \(-0.668301\pi\) |
0.762734 | + | 0.646712i | \(0.223856\pi\) | |||||||
\(282\) | 0.173494 | − | 0.294217i | 0.0103314 | − | 0.0175204i | ||||
\(283\) | 23.8741 | − | 8.68946i | 1.41917 | − | 0.516535i | 0.485362 | − | 0.874313i | \(-0.338688\pi\) |
0.933806 | + | 0.357779i | \(0.116466\pi\) | |||||||
\(284\) | 10.4113 | 0.617796 | ||||||||
\(285\) | −7.44679 | + | 1.24313i | −0.441110 | + | 0.0736364i | ||||
\(286\) | 10.0731 | 0.595635 | ||||||||
\(287\) | 24.1495 | − | 8.78971i | 1.42550 | − | 0.518840i | ||||
\(288\) | 2.33322 | − | 1.88576i | 0.137486 | − | 0.111119i | ||||
\(289\) | 12.9982 | − | 10.9068i | 0.764599 | − | 0.641575i | ||||
\(290\) | −0.623148 | + | 0.742639i | −0.0365925 | + | 0.0436093i | ||||
\(291\) | 3.13568 | − | 16.8742i | 0.183817 | − | 0.989183i | ||||
\(292\) | 0.182199 | + | 0.315579i | 0.0106624 | + | 0.0184678i | ||||
\(293\) | −15.8426 | + | 27.4403i | −0.925537 | + | 1.60308i | −0.134842 | + | 0.990867i | \(0.543053\pi\) |
−0.790695 | + | 0.612210i | \(0.790281\pi\) | |||||||
\(294\) | 0.984815 | − | 1.15197i | 0.0574356 | − | 0.0671842i | ||||
\(295\) | −4.75646 | + | 13.0683i | −0.276932 | + | 0.760863i | ||||
\(296\) | −5.58006 | − | 3.22165i | −0.324334 | − | 0.187254i | ||||
\(297\) | −8.01130 | + | 13.0318i | −0.464863 | + | 0.756182i | ||||
\(298\) | 2.34227 | − | 0.413006i | 0.135684 | − | 0.0239248i | ||||
\(299\) | 2.07828 | + | 1.74389i | 0.120190 | + | 0.100851i | ||||
\(300\) | 0.577400 | + | 1.63298i | 0.0333362 | + | 0.0942799i | ||||
\(301\) | −5.40119 | + | 30.6317i | −0.311320 | + | 1.76558i | ||||
\(302\) | −1.77117 | − | 4.86624i | −0.101919 | − | 0.280021i | ||||
\(303\) | 12.5062 | + | 4.68262i | 0.718465 | + | 0.269010i | ||||
\(304\) | −1.49052 | + | 4.09614i | −0.0854874 | + | 0.234930i | ||||
\(305\) | − | 0.734972i | − | 0.0420844i | ||||||
\(306\) | −0.192993 | + | 0.501348i | −0.0110327 | + | 0.0286602i | ||||
\(307\) | 12.4947 | + | 2.20315i | 0.713111 | + | 0.125741i | 0.518423 | − | 0.855125i | \(-0.326519\pi\) |
0.194688 | + | 0.980865i | \(0.437631\pi\) | |||||||
\(308\) | 5.31040 | + | 6.32869i | 0.302588 | + | 0.360610i | ||||
\(309\) | 2.68687 | + | 4.75426i | 0.152851 | + | 0.270460i | ||||
\(310\) | −1.26308 | − | 7.16327i | −0.0717380 | − | 0.406847i | ||||
\(311\) | −17.2759 | + | 9.97425i | −0.979627 | + | 0.565588i | −0.902158 | − | 0.431407i | \(-0.858017\pi\) |
−0.0774695 | + | 0.996995i | \(0.524684\pi\) | |||||||
\(312\) | 4.57472 | − | 3.76748i | 0.258992 | − | 0.213292i | ||||
\(313\) | −9.66646 | − | 3.51830i | −0.546381 | − | 0.198866i | 0.0540570 | − | 0.998538i | \(-0.482785\pi\) |
−0.600438 | + | 0.799672i | \(0.705007\pi\) | |||||||
\(314\) | −11.9256 | − | 4.34055i | −0.672999 | − | 0.244951i | ||||
\(315\) | 2.73336 | + | 7.96265i | 0.154007 | + | 0.448645i | ||||
\(316\) | −4.63727 | + | 2.67733i | −0.260867 | + | 0.150612i | ||||
\(317\) | 0.657185 | + | 3.72708i | 0.0369112 | + | 0.209334i | 0.997685 | − | 0.0679978i | \(-0.0216611\pi\) |
−0.960774 | + | 0.277331i | \(0.910550\pi\) | |||||||
\(318\) | −8.56302 | + | 4.83939i | −0.480190 | + | 0.271379i | ||||
\(319\) | −1.83453 | − | 2.18631i | −0.102714 | − | 0.122410i | ||||
\(320\) | 0.984808 | + | 0.173648i | 0.0550524 | + | 0.00970723i | ||||
\(321\) | −0.154218 | + | 16.7649i | −0.00860760 | + | 0.935725i | ||||
\(322\) | 2.22509i | 0.123999i | ||||||||
\(323\) | −0.135599 | − | 0.768681i | −0.00754491 | − | 0.0427706i | ||||
\(324\) | 1.23573 | + | 8.91476i | 0.0686517 | + | 0.495265i | ||||
\(325\) | 1.17026 | + | 3.21525i | 0.0649141 | + | 0.178350i | ||||
\(326\) | −2.99003 | + | 16.9573i | −0.165602 | + | 0.939178i | ||||
\(327\) | −27.1217 | + | 9.58991i | −1.49984 | + | 0.530323i | ||||
\(328\) | 7.01539 | + | 5.88661i | 0.387360 | + | 0.325034i | ||||
\(329\) | 0.544984 | − | 0.0960955i | 0.0300460 | − | 0.00529791i | ||||
\(330\) | −5.02958 | + | 0.839223i | −0.276869 | + | 0.0461977i | ||||
\(331\) | −2.66004 | − | 1.53578i | −0.146209 | − | 0.0844138i | 0.425111 | − | 0.905141i | \(-0.360235\pi\) |
−0.571320 | + | 0.820727i | \(0.693568\pi\) | |||||||
\(332\) | 4.44653 | − | 12.2167i | 0.244035 | − | 0.670480i | ||||
\(333\) | 16.9151 | − | 9.35535i | 0.926944 | − | 0.512670i | ||||
\(334\) | −7.85033 | + | 13.5972i | −0.429551 | + | 0.744004i | ||||
\(335\) | 2.73994 | + | 4.74572i | 0.149699 | + | 0.259287i | ||||
\(336\) | 4.77875 | + | 0.888022i | 0.260702 | + | 0.0484455i | ||||
\(337\) | 19.6752 | − | 23.4480i | 1.07178 | − | 1.27730i | 0.112861 | − | 0.993611i | \(-0.463999\pi\) |
0.958918 | − | 0.283685i | \(-0.0915570\pi\) | |||||||
\(338\) | −0.990244 | + | 0.830914i | −0.0538622 | + | 0.0451958i | ||||
\(339\) | 1.93255 | + | 1.13959i | 0.104962 | + | 0.0618941i | ||||
\(340\) | −0.168271 | + | 0.0612457i | −0.00912578 | + | 0.00332151i | ||||
\(341\) | 21.4138 | 1.15962 | ||||||||
\(342\) | −8.22060 | − | 10.1696i | −0.444519 | − | 0.549912i | ||||
\(343\) | −17.1882 | −0.928077 | ||||||||
\(344\) | −10.4155 | + | 3.79093i | −0.561566 | + | 0.204393i | ||||
\(345\) | −1.18299 | − | 0.697588i | −0.0636901 | − | 0.0375569i | ||||
\(346\) | 10.2983 | − | 8.64134i | 0.553643 | − | 0.464561i | ||||
\(347\) | 21.6050 | − | 25.7478i | 1.15982 | − | 1.38222i | 0.249462 | − | 0.968385i | \(-0.419746\pi\) |
0.910354 | − | 0.413831i | \(-0.135809\pi\) | |||||||
\(348\) | −1.65087 | − | 0.306776i | −0.0884958 | − | 0.0164449i | ||||
\(349\) | −11.3512 | − | 19.6609i | −0.607618 | − | 1.05243i | −0.991632 | − | 0.129098i | \(-0.958792\pi\) |
0.384014 | − | 0.923327i | \(-0.374542\pi\) | |||||||
\(350\) | −1.40312 | + | 2.43028i | −0.0750000 | + | 0.129904i | ||||
\(351\) | 2.60303 | + | 17.5876i | 0.138939 | + | 0.938754i | ||||
\(352\) | −1.00690 | + | 2.76643i | −0.0536679 | + | 0.147451i | ||||
\(353\) | −23.4493 | − | 13.5385i | −1.24808 | − | 0.720580i | −0.277355 | − | 0.960767i | \(-0.589458\pi\) |
−0.970727 | + | 0.240187i | \(0.922791\pi\) | |||||||
\(354\) | −23.7591 | + | 3.96438i | −1.26278 | + | 0.210704i | ||||
\(355\) | −10.2531 | + | 1.80790i | −0.544179 | + | 0.0959534i | ||||
\(356\) | −10.1284 | − | 8.49876i | −0.536805 | − | 0.450433i | ||||
\(357\) | −0.820595 | + | 0.290152i | −0.0434305 | + | 0.0153565i | ||||
\(358\) | −2.64846 | + | 15.0202i | −0.139976 | + | 0.793841i | ||||
\(359\) | −10.6511 | − | 29.2638i | −0.562146 | − | 1.54448i | −0.816484 | − | 0.577368i | \(-0.804080\pi\) |
0.254338 | − | 0.967115i | \(-0.418142\pi\) | |||||||
\(360\) | −1.97031 | + | 2.26227i | −0.103845 | + | 0.119232i | ||||
\(361\) | 17.8551 | + | 6.49571i | 0.939744 | + | 0.341879i | ||||
\(362\) | 23.0878i | 1.21347i | ||||||||
\(363\) | −0.0371699 | + | 4.04071i | −0.00195092 | + | 0.212082i | ||||
\(364\) | 9.45596 | + | 1.66734i | 0.495627 | + | 0.0873924i | ||||
\(365\) | −0.234231 | − | 0.279146i | −0.0122602 | − | 0.0146112i | ||||
\(366\) | 1.10827 | − | 0.626336i | 0.0579300 | − | 0.0327391i | ||||
\(367\) | −2.97589 | − | 16.8771i | −0.155340 | − | 0.880979i | −0.958474 | − | 0.285180i | \(-0.907947\pi\) |
0.803134 | − | 0.595799i | \(-0.203164\pi\) | |||||||
\(368\) | −0.686676 | + | 0.396453i | −0.0357955 | + | 0.0206665i | ||||
\(369\) | −25.9854 | + | 8.92007i | −1.35275 | + | 0.464360i | ||||
\(370\) | 6.05472 | + | 2.20374i | 0.314770 | + | 0.114567i | ||||
\(371\) | −14.9749 | − | 5.45043i | −0.777460 | − | 0.282972i | ||||
\(372\) | 9.72513 | − | 8.00908i | 0.504225 | − | 0.415251i | ||||
\(373\) | 5.84370 | − | 3.37386i | 0.302575 | − | 0.174692i | −0.341024 | − | 0.940055i | \(-0.610774\pi\) |
0.643599 | + | 0.765363i | \(0.277440\pi\) | |||||||
\(374\) | −0.0915437 | − | 0.519170i | −0.00473361 | − | 0.0268456i | ||||
\(375\) | −0.852191 | − | 1.50790i | −0.0440070 | − | 0.0778678i | ||||
\(376\) | 0.126758 | + | 0.151064i | 0.00653704 | + | 0.00779054i | ||||
\(377\) | −3.26666 | − | 0.576001i | −0.168242 | − | 0.0296655i | ||||
\(378\) | −9.67756 | + | 10.9073i | −0.497760 | + | 0.561013i | ||||
\(379\) | 26.5182i | 1.36215i | 0.732214 | + | 0.681075i | \(0.238487\pi\) | ||||
−0.732214 | + | 0.681075i | \(0.761513\pi\) | |||||||
\(380\) | 0.756593 | − | 4.29273i | 0.0388124 | − | 0.220213i | ||||
\(381\) | −31.2405 | − | 11.6972i | −1.60050 | − | 0.599263i | ||||
\(382\) | 4.49442 | + | 12.3483i | 0.229954 | + | 0.631795i | ||||
\(383\) | −3.26632 | + | 18.5242i | −0.166901 | + | 0.946542i | 0.780182 | + | 0.625553i | \(0.215127\pi\) |
−0.947083 | + | 0.320990i | \(0.895985\pi\) | |||||||
\(384\) | 0.577400 | + | 1.63298i | 0.0294653 | + | 0.0833324i | ||||
\(385\) | −6.32869 | − | 5.31040i | −0.322540 | − | 0.270643i | ||||
\(386\) | −12.3983 | + | 2.18615i | −0.631056 | + | 0.111272i | ||||
\(387\) | 6.37555 | − | 32.6349i | 0.324088 | − | 1.65892i | ||||
\(388\) | 8.58153 | + | 4.95455i | 0.435661 | + | 0.251529i | ||||
\(389\) | 4.25051 | − | 11.6782i | 0.215510 | − | 0.592108i | −0.784083 | − | 0.620656i | \(-0.786866\pi\) |
0.999592 | + | 0.0285485i | \(0.00908850\pi\) | |||||||
\(390\) | −3.85100 | + | 4.50464i | −0.195003 | + | 0.228101i | ||||
\(391\) | 0.0709930 | − | 0.122963i | 0.00359027 | − | 0.00621853i | ||||
\(392\) | 0.437502 | + | 0.757775i | 0.0220972 | + | 0.0382734i | ||||
\(393\) | 0.623308 | − | 3.35423i | 0.0314417 | − | 0.169199i | ||||
\(394\) | −4.32492 | + | 5.15424i | −0.217887 | + | 0.259667i | ||||
\(395\) | 4.10191 | − | 3.44191i | 0.206389 | − | 0.173181i | ||||
\(396\) | −5.55163 | − | 6.86894i | −0.278980 | − | 0.345177i | ||||
\(397\) | −10.5281 | + | 3.83190i | −0.528388 | + | 0.192318i | −0.592419 | − | 0.805630i | \(-0.701827\pi\) |
0.0640302 | + | 0.997948i | \(0.479605\pi\) | |||||||
\(398\) | 8.01730 | 0.401871 | ||||||||
\(399\) | 3.86923 | − | 20.8304i | 0.193704 | − | 1.04282i | ||||
\(400\) | −1.00000 | −0.0500000 | ||||||||
\(401\) | 25.9263 | − | 9.43641i | 1.29470 | − | 0.471232i | 0.399432 | − | 0.916763i | \(-0.369207\pi\) |
0.895266 | + | 0.445531i | \(0.146985\pi\) | |||||||
\(402\) | −4.82113 | + | 8.17583i | −0.240456 | + | 0.407773i | ||||
\(403\) | 19.0653 | − | 15.9977i | 0.949709 | − | 0.796900i | ||||
\(404\) | −4.95591 | + | 5.90622i | −0.246566 | + | 0.293845i | ||||
\(405\) | −2.76499 | − | 8.56474i | −0.137393 | − | 0.425586i | ||||
\(406\) | −1.36025 | − | 2.35602i | −0.0675081 | − | 0.116928i | ||||
\(407\) | −9.48445 | + | 16.4276i | −0.470127 | + | 0.814284i | ||||
\(408\) | −0.235752 | − | 0.201543i | −0.0116714 | − | 0.00997789i | ||||
\(409\) | 4.81000 | − | 13.2154i | 0.237839 | − | 0.653457i | −0.762143 | − | 0.647409i | \(-0.775853\pi\) |
0.999982 | − | 0.00604828i | \(-0.00192524\pi\) | |||||||
\(410\) | −7.93100 | − | 4.57897i | −0.391684 | − | 0.226139i | ||||
\(411\) | 2.47960 | + | 14.8606i | 0.122310 | + | 0.733018i | ||||
\(412\) | −3.10499 | + | 0.547494i | −0.152972 | + | 0.0269731i | ||||
\(413\) | −29.8959 | − | 25.0856i | −1.47108 | − | 1.23438i | ||||
\(414\) | 0.0437593 | − | 2.37831i | 0.00215065 | − | 0.116888i | ||||
\(415\) | −2.25756 | + | 12.8033i | −0.110819 | + | 0.628488i | ||||
\(416\) | 1.17026 | + | 3.21525i | 0.0573765 | + | 0.157641i | ||||
\(417\) | 0.660582 | − | 1.76427i | 0.0323488 | − | 0.0863966i | ||||
\(418\) | 12.0589 | + | 4.38807i | 0.589821 | + | 0.214627i | ||||
\(419\) | − | 4.27639i | − | 0.208915i | −0.994529 | − | 0.104458i | \(-0.966689\pi\) | ||
0.994529 | − | 0.104458i | \(-0.0333107\pi\) | |||||||
\(420\) | −4.86035 | − | 0.0447097i | −0.237161 | − | 0.00218161i | ||||
\(421\) | 13.8112 | + | 2.43528i | 0.673115 | + | 0.118688i | 0.499751 | − | 0.866169i | \(-0.333425\pi\) |
0.173365 | + | 0.984858i | \(0.444536\pi\) | |||||||
\(422\) | −6.88960 | − | 8.21071i | −0.335381 | − | 0.399691i | ||||
\(423\) | −0.584404 | + | 0.0919951i | −0.0284147 | + | 0.00447296i | ||||
\(424\) | −0.986106 | − | 5.59249i | −0.0478896 | − | 0.271595i | ||||
\(425\) | 0.155080 | − | 0.0895352i | 0.00752246 | − | 0.00434310i | ||||
\(426\) | −11.4637 | − | 13.9200i | −0.555420 | − | 0.674427i | ||||
\(427\) | 1.93812 | + | 0.705420i | 0.0937924 | + | 0.0341377i | ||||
\(428\) | −9.09587 | − | 3.31063i | −0.439666 | − | 0.160025i | ||||
\(429\) | −11.0914 | − | 13.4679i | −0.535497 | − | 0.650235i | ||||
\(430\) | 9.59897 | − | 5.54197i | 0.462904 | − | 0.267258i | ||||
\(431\) | 1.95988 | + | 11.1150i | 0.0944040 | + | 0.535392i | 0.994928 | + | 0.100586i | \(0.0320718\pi\) |
−0.900524 | + | 0.434806i | \(0.856817\pi\) | |||||||
\(432\) | −5.09037 | − | 1.04315i | −0.244910 | − | 0.0501888i | ||||
\(433\) | 11.0002 | + | 13.1095i | 0.528634 | + | 0.630002i | 0.962600 | − | 0.270928i | \(-0.0873305\pi\) |
−0.433965 | + | 0.900929i | \(0.642886\pi\) | |||||||
\(434\) | 20.1019 | + | 3.54451i | 0.964922 | + | 0.170142i | ||||
\(435\) | 1.67906 | + | 0.0154454i | 0.0805047 | + | 0.000740552i | ||||
\(436\) | − | 16.6088i | − | 0.795416i | ||||||
\(437\) | 1.72832 | + | 2.99302i | 0.0826769 | + | 0.143176i | ||||
\(438\) | 0.221315 | − | 0.591083i | 0.0105748 | − | 0.0282430i | ||||
\(439\) | 11.5054 | + | 31.6107i | 0.549121 | + | 1.50870i | 0.834900 | + | 0.550402i | \(0.185525\pi\) |
−0.285779 | + | 0.958296i | \(0.592252\pi\) | |||||||
\(440\) | 0.511216 | − | 2.89925i | 0.0243713 | − | 0.138216i | ||||
\(441\) | −2.62457 | − | 0.0482901i | −0.124979 | − | 0.00229953i | ||||
\(442\) | −0.469361 | − | 0.393840i | −0.0223252 | − | 0.0187331i | ||||
\(443\) | −12.8000 | + | 2.25699i | −0.608148 | + | 0.107233i | −0.469237 | − | 0.883072i | \(-0.655471\pi\) |
−0.138910 | + | 0.990305i | \(0.544360\pi\) | |||||||
\(444\) | 1.83676 | + | 11.0079i | 0.0871685 | + | 0.522413i | ||||
\(445\) | 11.4503 | + | 6.61086i | 0.542798 | + | 0.313385i | ||||
\(446\) | 2.64341 | − | 7.26270i | 0.125169 | − | 0.343899i | ||||
\(447\) | −3.13124 | − | 2.67689i | −0.148103 | − | 0.126613i | ||||
\(448\) | −1.40312 | + | 2.43028i | −0.0662913 | + | 0.114820i | ||||
\(449\) | 0.773141 | + | 1.33912i | 0.0364868 | + | 0.0631970i | 0.883692 | − | 0.468069i | \(-0.155050\pi\) |
−0.847205 | + | 0.531266i | \(0.821717\pi\) | |||||||
\(450\) | 1.54754 | − | 2.57004i | 0.0729518 | − | 0.121153i | ||||
\(451\) | 17.3300 | − | 20.6531i | 0.816039 | − | 0.972518i | ||||
\(452\) | −0.992260 | + | 0.832605i | −0.0466720 | + | 0.0391624i | ||||
\(453\) | −4.55601 | + | 7.72624i | −0.214060 | + | 0.363010i | ||||
\(454\) | −26.8357 | + | 9.76741i | −1.25946 | + | 0.458407i | ||||
\(455\) | −9.60184 | −0.450141 | ||||||||
\(456\) | 7.11779 | − | 2.51736i | 0.333321 | − | 0.117886i | ||||
\(457\) | −20.8759 | −0.976535 | −0.488267 | − | 0.872694i | \(-0.662371\pi\) | ||||
−0.488267 | + | 0.872694i | \(0.662371\pi\) | |||||||
\(458\) | −14.2095 | + | 5.17183i | −0.663965 | + | 0.241664i | ||||
\(459\) | 0.882811 | − | 0.293995i | 0.0412061 | − | 0.0137225i | ||||
\(460\) | 0.607401 | − | 0.509670i | 0.0283202 | − | 0.0237635i | ||||
\(461\) | −8.05570 | + | 9.60041i | −0.375191 | + | 0.447136i | −0.920290 | − | 0.391236i | \(-0.872048\pi\) |
0.545099 | + | 0.838372i | \(0.316492\pi\) | |||||||
\(462\) | 2.61431 | − | 14.0685i | 0.121629 | − | 0.654527i | ||||
\(463\) | 3.41626 | + | 5.91713i | 0.158767 | + | 0.274992i | 0.934424 | − | 0.356162i | \(-0.115915\pi\) |
−0.775657 | + | 0.631154i | \(0.782582\pi\) | |||||||
\(464\) | 0.484723 | − | 0.839565i | 0.0225027 | − | 0.0389758i | ||||
\(465\) | −8.18663 | + | 9.57615i | −0.379646 | + | 0.444083i | ||||
\(466\) | −4.76535 | + | 13.0927i | −0.220750 | + | 0.606507i | ||||
\(467\) | 14.4045 | + | 8.31642i | 0.666559 | + | 0.384838i | 0.794772 | − | 0.606909i | \(-0.207591\pi\) |
−0.128212 | + | 0.991747i | \(0.540924\pi\) | |||||||
\(468\) | −10.0743 | − | 1.96812i | −0.465687 | − | 0.0909766i | ||||
\(469\) | −15.1443 | + | 2.67034i | −0.699298 | + | 0.123305i | ||||
\(470\) | −0.151064 | − | 0.126758i | −0.00696807 | − | 0.00584690i | ||||
\(471\) | 7.32773 | + | 20.7240i | 0.337644 | + | 0.954910i | ||||
\(472\) | 2.41492 | − | 13.6957i | 0.111156 | − | 0.630394i | ||||
\(473\) | 11.1604 | + | 30.6630i | 0.513156 | + | 1.40989i | ||||
\(474\) | 8.68567 | + | 3.25211i | 0.398946 | + | 0.149374i | ||||
\(475\) | 0.000326752 | 4.35890i | 1.49924e−5 | 0.200000i | ||||||
\(476\) | − | 0.502515i | − | 0.0230327i | ||||||
\(477\) | 15.8990 | + | 6.12027i | 0.727964 | + | 0.280228i | ||||
\(478\) | 24.7646 | + | 4.36666i | 1.13270 | + | 0.199726i | ||||
\(479\) | −4.24505 | − | 5.05905i | −0.193961 | − | 0.231154i | 0.660295 | − | 0.751006i | \(-0.270431\pi\) |
−0.854256 | + | 0.519853i | \(0.825987\pi\) | |||||||
\(480\) | −0.852191 | − | 1.50790i | −0.0388970 | − | 0.0688260i | ||||
\(481\) | 3.82831 | + | 21.7114i | 0.174556 | + | 0.989956i | ||||
\(482\) | 11.5012 | − | 6.64019i | 0.523863 | − | 0.302452i | ||||
\(483\) | 2.97497 | − | 2.45002i | 0.135366 | − | 0.111480i | ||||
\(484\) | −2.19231 | − | 0.797935i | −0.0996503 | − | 0.0362698i | ||||
\(485\) | −9.31151 | − | 3.38911i | −0.422814 | − | 0.153892i | ||||
\(486\) | 10.5585 | − | 11.4681i | 0.478943 | − | 0.520205i | ||||
\(487\) | −7.72455 | + | 4.45977i | −0.350033 | + | 0.202091i | −0.664700 | − | 0.747111i | \(-0.731441\pi\) |
0.314667 | + | 0.949202i | \(0.398107\pi\) | |||||||
\(488\) | 0.127626 | + | 0.723806i | 0.00577738 | + | 0.0327651i | ||||
\(489\) | 25.9644 | − | 14.6738i | 1.17415 | − | 0.663571i | ||||
\(490\) | −0.562442 | − | 0.670292i | −0.0254085 | − | 0.0302807i | ||||
\(491\) | −5.37581 | − | 0.947900i | −0.242607 | − | 0.0427781i | 0.0510224 | − | 0.998698i | \(-0.483752\pi\) |
−0.293629 | + | 0.955919i | \(0.594863\pi\) | |||||||
\(492\) | 0.145906 | − | 15.8613i | 0.00657796 | − | 0.715084i | ||||
\(493\) | 0.173599i | 0.00781851i | ||||||||
\(494\) | 14.0146 | − | 5.10207i | 0.630545 | − | 0.229553i | ||||
\(495\) | 6.66007 | + | 5.80056i | 0.299348 | + | 0.260716i | ||||
\(496\) | 2.48778 | + | 6.83512i | 0.111705 | + | 0.306906i | ||||
\(497\) | 5.07341 | − | 28.7727i | 0.227573 | − | 1.29063i | ||||
\(498\) | −21.2300 | + | 7.50665i | −0.951337 | + | 0.336381i | ||||
\(499\) | 7.98337 | + | 6.69884i | 0.357385 | + | 0.299881i | 0.803747 | − | 0.594971i | \(-0.202836\pi\) |
−0.446363 | + | 0.894852i | \(0.647281\pi\) | |||||||
\(500\) | 0.984808 | − | 0.173648i | 0.0440419 | − | 0.00776578i | ||||
\(501\) | 26.8235 | − | 4.47570i | 1.19839 | − | 0.199960i | ||||
\(502\) | −21.2714 | − | 12.2810i | −0.949387 | − | 0.548129i | ||||
\(503\) | −9.06015 | + | 24.8926i | −0.403972 | + | 1.10990i | 0.556334 | + | 0.830958i | \(0.312207\pi\) |
−0.960307 | + | 0.278946i | \(0.910015\pi\) | |||||||
\(504\) | −4.07453 | − | 7.36704i | −0.181494 | − | 0.328154i | ||||
\(505\) | 3.85501 | − | 6.67707i | 0.171546 | − | 0.297126i | ||||
\(506\) | 1.16715 | + | 2.02156i | 0.0518860 | + | 0.0898693i | ||||
\(507\) | 2.20129 | + | 0.409060i | 0.0977627 | + | 0.0181670i | ||||
\(508\) | 12.3798 | − | 14.7537i | 0.549265 | − | 0.654589i | ||||
\(509\) | 25.9622 | − | 21.7849i | 1.15075 | − | 0.965598i | 0.151018 | − | 0.988531i | \(-0.451745\pi\) |
0.999737 | + | 0.0229330i | \(0.00730043\pi\) | |||||||
\(510\) | 0.267168 | + | 0.157544i | 0.0118304 | + | 0.00697615i | ||||
\(511\) | 0.960922 | − | 0.349747i | 0.0425087 | − | 0.0154719i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −4.54534 | + | 22.1887i | −0.200682 | + | 0.979656i | ||||
\(514\) | 17.4175 | 0.768252 | ||||||||
\(515\) | 2.96275 | − | 1.07835i | 0.130554 | − | 0.0475179i | ||||
\(516\) | 16.5369 | + | 9.75150i | 0.727997 | + | 0.429286i | ||||
\(517\) | 0.444729 | − | 0.373172i | 0.0195592 | − | 0.0164121i | ||||
\(518\) | −11.6225 | + | 13.8512i | −0.510665 | + | 0.608587i | ||||
\(519\) | −22.8930 | − | 4.25414i | −1.00489 | − | 0.186736i | ||||
\(520\) | −1.71080 | − | 2.96319i | −0.0750235 | − | 0.129944i | ||||
\(521\) | 10.2298 | − | 17.7185i | 0.448174 | − | 0.776260i | −0.550093 | − | 0.835103i | \(-0.685408\pi\) |
0.998267 | + | 0.0588429i | \(0.0187411\pi\) | |||||||
\(522\) | 1.40759 | + | 2.54502i | 0.0616085 | + | 0.111393i | ||||
\(523\) | −4.52671 | + | 12.4370i | −0.197939 | + | 0.543834i | −0.998460 | − | 0.0554708i | \(-0.982334\pi\) |
0.800521 | + | 0.599305i | \(0.204556\pi\) | |||||||
\(524\) | 1.70583 | + | 0.984860i | 0.0745195 | + | 0.0430238i | ||||
\(525\) | 4.79428 | − | 0.799961i | 0.209239 | − | 0.0349131i | ||||
\(526\) | −21.6013 | + | 3.80890i | −0.941862 | + | 0.166076i | ||||
\(527\) | −0.997787 | − | 0.837243i | −0.0434643 | − | 0.0364709i | ||||
\(528\) | 4.80744 | − | 1.69985i | 0.209217 | − | 0.0739765i | ||||
\(529\) | 3.88474 | − | 22.0314i | 0.168902 | − | 0.957888i | ||||
\(530\) | 1.94225 | + | 5.33629i | 0.0843660 | + | 0.231794i | ||||
\(531\) | 31.4613 | + | 27.4010i | 1.36530 | + | 1.18910i | ||||
\(532\) | 10.5938 | + | 6.11527i | 0.459299 | + | 0.265131i | ||||
\(533\) | − | 31.3348i | − | 1.35726i | ||||||
\(534\) | −0.210651 | + | 22.8997i | −0.00911577 | + | 0.990968i | ||||
\(535\) | 9.53257 | + | 1.68085i | 0.412129 | + | 0.0726694i | ||||
\(536\) | −3.52240 | − | 4.19784i | −0.152145 | − | 0.181319i | ||||
\(537\) | 22.9984 | − | 12.9975i | 0.992453 | − | 0.560885i | ||||
\(538\) | −0.185203 | − | 1.05034i | −0.00798467 | − | 0.0452833i | ||||
\(539\) | 2.23087 | − | 1.28799i | 0.0960905 | − | 0.0554779i | ||||
\(540\) | 5.19417 | + | 0.143374i | 0.223522 | + | 0.00616983i | ||||
\(541\) | 6.07530 | + | 2.21123i | 0.261198 | + | 0.0950681i | 0.469300 | − | 0.883039i | \(-0.344506\pi\) |
−0.208102 | + | 0.978107i | \(0.566729\pi\) | |||||||
\(542\) | −24.7014 | − | 8.99059i | −1.06102 | − | 0.386179i | ||||
\(543\) | 30.8686 | − | 25.4217i | 1.32470 | − | 1.09095i | ||||
\(544\) | 0.155080 | − | 0.0895352i | 0.00664898 | − | 0.00383879i | ||||
\(545\) | 2.88409 | + | 16.3565i | 0.123541 | + | 0.700634i | ||||
\(546\) | −8.18260 | − | 14.4786i | −0.350183 | − | 0.619628i | ||||
\(547\) | 1.96092 | + | 2.33693i | 0.0838428 | + | 0.0999200i | 0.806335 | − | 0.591459i | \(-0.201448\pi\) |
−0.722492 | + | 0.691379i | \(0.757003\pi\) | |||||||
\(548\) | −8.56622 | − | 1.51046i | −0.365931 | − | 0.0645235i | ||||
\(549\) | −2.05772 | − | 0.792113i | −0.0878213 | − | 0.0338066i | ||||
\(550\) | 2.94398i | 0.125532i | ||||||||
\(551\) | −3.65974 | − | 2.11258i | −0.155910 | − | 0.0899991i | ||||
\(552\) | 1.28615 | + | 0.481565i | 0.0547424 | + | 0.0204968i | ||||
\(553\) | 5.13936 | + | 14.1203i | 0.218548 | + | 0.600455i | ||||
\(554\) | −0.754720 | + | 4.28023i | −0.0320650 | + | 0.181850i | ||||
\(555\) | −3.72036 | − | 10.5217i | −0.157920 | − | 0.446623i | ||||
\(556\) | 0.833196 | + | 0.699134i | 0.0353354 | + | 0.0296499i | ||||
\(557\) | 24.3271 | − | 4.28952i | 1.03077 | − | 0.181753i | 0.367416 | − | 0.930057i | \(-0.380243\pi\) |
0.663356 | + | 0.748304i | \(0.269131\pi\) | |||||||
\(558\) | −21.4165 | − | 4.18392i | −0.906632 | − | 0.177120i | ||||
\(559\) | 32.8438 | + | 18.9624i | 1.38915 | + | 0.802024i | ||||
\(560\) | 0.959792 | − | 2.63701i | 0.0405586 | − | 0.111434i | ||||
\(561\) | −0.593339 | + | 0.694047i | −0.0250508 | + | 0.0293027i | ||||
\(562\) | 2.82608 | − | 4.89492i | 0.119211 | − | 0.206480i | ||||
\(563\) | −8.69829 | − | 15.0659i | −0.366589 | − | 0.634951i | 0.622440 | − | 0.782667i | \(-0.286141\pi\) |
−0.989030 | + | 0.147716i | \(0.952808\pi\) | |||||||
\(564\) | 0.0624030 | − | 0.335812i | 0.00262764 | − | 0.0141402i | ||||
\(565\) | 0.832605 | − | 0.992260i | 0.0350280 | − | 0.0417447i | ||||
\(566\) | 19.4623 | − | 16.3308i | 0.818063 | − | 0.686437i | ||||
\(567\) | 25.2391 | + | 0.929077i | 1.05994 | + | 0.0390176i | ||||
\(568\) | 9.78340 | − | 3.56087i | 0.410502 | − | 0.149411i | ||||
\(569\) | 15.6399 | 0.655660 | 0.327830 | − | 0.944737i | \(-0.393683\pi\) | ||||
0.327830 | + | 0.944737i | \(0.393683\pi\) | |||||||
\(570\) | −6.57252 | + | 3.71511i | −0.275292 | + | 0.155609i | ||||
\(571\) | −20.0758 | −0.840144 | −0.420072 | − | 0.907491i | \(-0.637995\pi\) | ||||
−0.420072 | + | 0.907491i | \(0.637995\pi\) | |||||||
\(572\) | 9.46562 | − | 3.44520i | 0.395777 | − | 0.144051i | ||||
\(573\) | 11.5611 | − | 19.6057i | 0.482972 | − | 0.819039i | ||||
\(574\) | 19.6869 | − | 16.5193i | 0.821715 | − | 0.689500i | ||||
\(575\) | −0.509670 | + | 0.607401i | −0.0212547 | + | 0.0253304i | ||||
\(576\) | 1.54754 | − | 2.57004i | 0.0644809 | − | 0.107085i | ||||
\(577\) | 14.5779 | + | 25.2497i | 0.606887 | + | 1.05116i | 0.991750 | + | 0.128185i | \(0.0409152\pi\) |
−0.384864 | + | 0.922973i | \(0.625751\pi\) | |||||||
\(578\) | 8.48397 | − | 14.6947i | 0.352887 | − | 0.611217i | ||||
\(579\) | 16.5745 | + | 14.1695i | 0.688814 | + | 0.588865i | ||||
\(580\) | −0.331570 | + | 0.910982i | −0.0137677 | + | 0.0378264i | ||||
\(581\) | −31.5955 | − | 18.2417i | −1.31080 | − | 0.756792i | ||||
\(582\) | −2.82473 | − | 16.9290i | −0.117089 | − | 0.701730i | ||||
\(583\) | −16.4641 | + | 2.90307i | −0.681875 | + | 0.120233i | ||||
\(584\) | 0.279146 | + | 0.234231i | 0.0115511 | + | 0.00969255i | ||||
\(585\) | 10.2631 | + | 0.188833i | 0.424325 | + | 0.00780727i | ||||
\(586\) | −5.50209 | + | 31.2039i | −0.227289 | + | 1.28902i | ||||
\(587\) | −4.05379 | − | 11.1377i | −0.167318 | − | 0.459702i | 0.827489 | − | 0.561482i | \(-0.189769\pi\) |
−0.994807 | + | 0.101780i | \(0.967546\pi\) | |||||||
\(588\) | 0.531427 | − | 1.41932i | 0.0219157 | − | 0.0585319i | ||||
\(589\) | 29.7928 | − | 10.8462i | 1.22759 | − | 0.446910i | ||||
\(590\) | 13.9069i | 0.572540i | ||||||||
\(591\) | 11.6534 | + | 0.107198i | 0.479358 | + | 0.00440954i | ||||
\(592\) | −6.34541 | − | 1.11887i | −0.260795 | − | 0.0459851i | ||||
\(593\) | 4.57942 | + | 5.45754i | 0.188054 | + | 0.224114i | 0.851831 | − | 0.523816i | \(-0.175492\pi\) |
−0.663777 | + | 0.747930i | \(0.731048\pi\) | |||||||
\(594\) | −3.07102 | + | 14.9859i | −0.126006 | + | 0.614880i | ||||
\(595\) | 0.0872609 | + | 0.494881i | 0.00357735 | + | 0.0202881i | ||||
\(596\) | 2.05976 | − | 1.18920i | 0.0843710 | − | 0.0487116i | ||||
\(597\) | −8.82776 | − | 10.7192i | −0.361296 | − | 0.438709i | ||||
\(598\) | 2.54939 | + | 0.927902i | 0.104252 | + | 0.0379447i | ||||
\(599\) | 15.8651 | + | 5.77443i | 0.648232 | + | 0.235937i | 0.645147 | − | 0.764058i | \(-0.276796\pi\) |
0.00308427 | + | 0.999995i | \(0.499018\pi\) | |||||||
\(600\) | 1.10109 | + | 1.33701i | 0.0449518 | + | 0.0545833i | ||||
\(601\) | 25.5919 | − | 14.7755i | 1.04392 | − | 0.602705i | 0.122976 | − | 0.992410i | \(-0.460756\pi\) |
0.920940 | + | 0.389704i | \(0.127423\pi\) | |||||||
\(602\) | 5.40119 | + | 30.6317i | 0.220136 | + | 1.24845i | ||||
\(603\) | 16.2397 | − | 2.55640i | 0.661331 | − | 0.104105i | ||||
\(604\) | −3.32871 | − | 3.96700i | −0.135443 | − | 0.161415i | ||||
\(605\) | 2.29756 | + | 0.405122i | 0.0934092 | + | 0.0164706i | ||||
\(606\) | 13.3536 | + | 0.122838i | 0.542452 | + | 0.00498994i | ||||
\(607\) | − | 18.8869i | − | 0.766596i | −0.923625 | − | 0.383298i | \(-0.874788\pi\) | ||
0.923625 | − | 0.383298i | \(-0.125212\pi\) | |||||||
\(608\) | 0.000326752 | 4.35890i | 1.32516e−5 | 0.176777i | ||||||
\(609\) | −1.65228 | + | 4.41287i | −0.0669536 | + | 0.178818i | ||||
\(610\) | −0.251375 | − | 0.690647i | −0.0101779 | − | 0.0279635i | ||||
\(611\) | 0.117167 | − | 0.664489i | 0.00474008 | − | 0.0268823i | ||||
\(612\) | −0.00988263 | + | 0.537120i | −0.000399481 | + | 0.0217118i | ||||
\(613\) | 14.1014 | + | 11.8325i | 0.569551 | + | 0.477910i | 0.881497 | − | 0.472190i | \(-0.156536\pi\) |
−0.311946 | + | 0.950100i | \(0.600981\pi\) | |||||||
\(614\) | 12.4947 | − | 2.20315i | 0.504245 | − | 0.0889121i | ||||
\(615\) | 2.61060 | + | 15.6457i | 0.105270 | + | 0.630896i | ||||
\(616\) | 7.15468 | + | 4.13076i | 0.288270 | + | 0.166433i | ||||
\(617\) | −0.676460 | + | 1.85856i | −0.0272333 | + | 0.0748228i | −0.952564 | − | 0.304338i | \(-0.901565\pi\) |
0.925331 | + | 0.379160i | \(0.123787\pi\) | |||||||
\(618\) | 4.15088 | + | 3.54858i | 0.166973 | + | 0.142745i | ||||
\(619\) | 11.7377 | − | 20.3303i | 0.471779 | − | 0.817145i | −0.527700 | − | 0.849431i | \(-0.676945\pi\) |
0.999479 | + | 0.0322857i | \(0.0102786\pi\) | |||||||
\(620\) | −3.63689 | − | 6.29928i | −0.146061 | − | 0.252985i | ||||
\(621\) | −3.22802 | + | 2.56023i | −0.129536 | + | 0.102738i | ||||
\(622\) | −12.8227 | + | 15.2814i | −0.514141 | + | 0.612730i | ||||
\(623\) | −28.4228 | + | 23.8496i | −1.13874 | + | 0.955513i | ||||
\(624\) | 3.01027 | − | 5.10492i | 0.120507 | − | 0.204360i | ||||
\(625\) | −0.939693 | + | 0.342020i | −0.0375877 | + | 0.0136808i | ||||
\(626\) | −10.2868 | −0.411145 | ||||||||
\(627\) | −7.41105 | − | 20.9546i | −0.295969 | − | 0.836846i | ||||
\(628\) | −12.6909 | −0.506423 | ||||||||
\(629\) | 1.08422 | − | 0.394624i | 0.0432307 | − | 0.0157347i | ||||
\(630\) | 5.29190 | + | 6.54758i | 0.210834 | + | 0.260862i | ||||
\(631\) | 29.0205 | − | 24.3511i | 1.15529 | − | 0.969402i | 0.155458 | − | 0.987843i | \(-0.450315\pi\) |
0.999830 | + | 0.0184410i | \(0.00587028\pi\) | |||||||
\(632\) | −3.44191 | + | 4.10191i | −0.136912 | + | 0.163165i | ||||
\(633\) | −3.39176 | + | 18.2522i | −0.134810 | + | 0.725460i | ||||
\(634\) | 1.89229 | + | 3.27754i | 0.0751524 | + | 0.130168i | ||||
\(635\) | −9.62978 | + | 16.6793i | −0.382146 | + | 0.661897i | ||||
\(636\) | −6.39144 | + | 7.47626i | −0.253437 | + | 0.296453i | ||||
\(637\) | 1.02398 | − | 2.81336i | 0.0405715 | − | 0.111469i | ||||
\(638\) | −2.47166 | − | 1.42701i | −0.0978539 | − | 0.0564960i | ||||
\(639\) | −5.98864 | + | 30.6543i | −0.236907 | + | 1.21267i | ||||
\(640\) | 0.984808 | − | 0.173648i | 0.0389279 | − | 0.00686405i | ||||
\(641\) | 24.5465 | + | 20.5970i | 0.969530 | + | 0.813532i | 0.982477 | − | 0.186384i | \(-0.0596769\pi\) |
−0.0129474 | + | 0.999916i | \(0.504121\pi\) | |||||||
\(642\) | 5.58901 | + | 15.8066i | 0.220581 | + | 0.623836i | ||||
\(643\) | −1.49452 | + | 8.47583i | −0.0589380 | + | 0.334254i | −0.999992 | − | 0.00400231i | \(-0.998726\pi\) |
0.941054 | + | 0.338256i | \(0.109837\pi\) | |||||||
\(644\) | 0.761024 | + | 2.09090i | 0.0299886 | + | 0.0823929i | ||||
\(645\) | −17.9790 | − | 6.73175i | −0.707923 | − | 0.265062i | ||||
\(646\) | −0.390326 | − | 0.675947i | −0.0153572 | − | 0.0265948i | ||||
\(647\) | − | 1.68767i | − | 0.0663490i | −0.999450 | − | 0.0331745i | \(-0.989438\pi\) | ||
0.999450 | − | 0.0331745i | \(-0.0105617\pi\) | |||||||
\(648\) | 4.21023 | + | 7.95449i | 0.165394 | + | 0.312482i | ||||
\(649\) | −40.3197 | − | 7.10946i | −1.58269 | − | 0.279071i | ||||
\(650\) | 2.19936 | + | 2.62110i | 0.0862660 | + | 0.102808i | ||||
\(651\) | −17.3949 | − | 30.7793i | −0.681761 | − | 1.20634i | ||||
\(652\) | 2.99003 | + | 16.9573i | 0.117099 | + | 0.664099i | ||||
\(653\) | 11.2100 | − | 6.47211i | 0.438682 | − | 0.253273i | −0.264356 | − | 0.964425i | \(-0.585159\pi\) |
0.703038 | + | 0.711152i | \(0.251826\pi\) | |||||||
\(654\) | −22.2062 | + | 18.2877i | −0.868329 | + | 0.715108i | ||||
\(655\) | −1.85093 | − | 0.673684i | −0.0723219 | − | 0.0263230i | ||||
\(656\) | 8.60564 | + | 3.13220i | 0.335994 | + | 0.122292i | ||||
\(657\) | −1.03397 | + | 0.354934i | −0.0403391 | + | 0.0138473i | ||||
\(658\) | 0.479251 | − | 0.276696i | 0.0186832 | − | 0.0107867i | ||||
\(659\) | −5.64156 | − | 31.9949i | −0.219764 | − | 1.24634i | −0.872446 | − | 0.488711i | \(-0.837467\pi\) |
0.652682 | − | 0.757632i | \(-0.273644\pi\) | |||||||
\(660\) | −4.43923 | + | 2.50883i | −0.172797 | + | 0.0976561i | ||||
\(661\) | −19.3267 | − | 23.0326i | −0.751720 | − | 0.895866i | 0.245574 | − | 0.969378i | \(-0.421024\pi\) |
−0.997294 | + | 0.0735123i | \(0.976579\pi\) | |||||||
\(662\) | −3.02489 | − | 0.533369i | −0.117566 | − | 0.0207300i | ||||
\(663\) | −0.00976178 | + | 1.06119i | −0.000379116 | + | 0.0412134i | ||||
\(664\) | − | 13.0008i | − | 0.504528i | ||||||
\(665\) | −11.4948 | − | 4.18277i | −0.445748 | − | 0.162201i | ||||
\(666\) | 12.6953 | − | 14.5765i | 0.491933 | − | 0.564827i | ||||
\(667\) | −0.262904 | − | 0.722322i | −0.0101797 | − | 0.0279684i | ||||
\(668\) | −2.72639 | + | 15.4621i | −0.105487 | + | 0.598248i | ||||
\(669\) | −12.6209 | + | 4.46261i | −0.487954 | + | 0.172534i | ||||
\(670\) | 4.19784 | + | 3.52240i | 0.162177 | + | 0.136082i | ||||
\(671\) | 2.13087 | − | 0.375729i | 0.0822612 | − | 0.0145049i | ||||
\(672\) | 4.79428 | − | 0.799961i | 0.184943 | − | 0.0308592i | ||||
\(673\) | −38.3746 | − | 22.1556i | −1.47923 | − | 0.854035i | −0.479508 | − | 0.877537i | \(-0.659185\pi\) |
−0.999724 | + | 0.0235022i | \(0.992518\pi\) | |||||||
\(674\) | 10.4690 | − | 28.7633i | 0.403250 | − | 1.10792i | ||||
\(675\) | −5.14016 | + | 0.760763i | −0.197845 | + | 0.0292818i | ||||
\(676\) | −0.646336 | + | 1.11949i | −0.0248591 | + | 0.0430572i | ||||
\(677\) | 10.9227 | + | 18.9187i | 0.419793 | + | 0.727103i | 0.995918 | − | 0.0902585i | \(-0.0287693\pi\) |
−0.576125 | + | 0.817361i | \(0.695436\pi\) | |||||||
\(678\) | 2.20577 | + | 0.409892i | 0.0847121 | + | 0.0157418i | ||||
\(679\) | 17.8742 | − | 21.3017i | 0.685950 | − | 0.817483i | ||||
\(680\) | −0.137176 | + | 0.115104i | −0.00526046 | + | 0.00441405i | ||||
\(681\) | 42.6077 | + | 25.1249i | 1.63273 | + | 0.962790i | ||||
\(682\) | 20.1224 | − | 7.32396i | 0.770527 | − | 0.280449i | ||||
\(683\) | 2.28287 | 0.0873516 | 0.0436758 | − | 0.999046i | \(-0.486093\pi\) | ||||
0.0436758 | + | 0.999046i | \(0.486093\pi\) | |||||||
\(684\) | −11.2031 | − | 6.74473i | −0.428360 | − | 0.257891i | ||||
\(685\) | 8.69837 | 0.332348 | ||||||||
\(686\) | −16.1517 | + | 5.87872i | −0.616673 | + | 0.224451i | ||||
\(687\) | 22.5607 | + | 13.3036i | 0.860744 | + | 0.507564i | ||||
\(688\) | −8.49079 | + | 7.12462i | −0.323708 | + | 0.271624i | ||||
\(689\) | −12.4896 | + | 14.8846i | −0.475817 | + | 0.567057i | ||||
\(690\) | −1.35024 | − | 0.250911i | −0.0514027 | − | 0.00955202i | ||||
\(691\) | −13.8739 | − | 24.0303i | −0.527788 | − | 0.914155i | −0.999475 | − | 0.0323896i | \(-0.989688\pi\) |
0.471687 | − | 0.881766i | \(-0.343645\pi\) | |||||||
\(692\) | 6.72177 | − | 11.6424i | 0.255523 | − | 0.442579i | ||||
\(693\) | −21.6884 | + | 11.9953i | −0.823873 | + | 0.455664i | ||||
\(694\) | 11.4958 | − | 31.5844i | 0.436373 | − | 1.19893i | ||||
\(695\) | −0.941941 | − | 0.543830i | −0.0357299 | − | 0.0206286i | ||||
\(696\) | −1.65623 | + | 0.276355i | −0.0627793 | + | 0.0104752i | ||||
\(697\) | −1.61500 | + | 0.284768i | −0.0611725 | + | 0.0107864i | ||||
\(698\) | −17.3911 | − | 14.5929i | −0.658263 | − | 0.552349i | ||||
\(699\) | 22.7522 | − | 8.04488i | 0.860565 | − | 0.304285i | ||||
\(700\) | −0.487299 | + | 2.76361i | −0.0184182 | + | 0.104455i | ||||
\(701\) | 3.37874 | + | 9.28302i | 0.127613 | + | 0.350615i | 0.987002 | − | 0.160708i | \(-0.0513778\pi\) |
−0.859389 | + | 0.511323i | \(0.829156\pi\) | |||||||
\(702\) | 8.46134 | + | 15.6366i | 0.319353 | + | 0.590166i | ||||
\(703\) | −4.87495 | + | 27.6594i | −0.183862 | + | 1.04319i | ||||
\(704\) | 2.94398i | 0.110955i | ||||||||
\(705\) | −0.00314184 | + | 0.341546i | −0.000118328 | + | 0.0128634i | ||||
\(706\) | −26.6656 | − | 4.70186i | −1.00357 | − | 0.176957i | ||||
\(707\) | 13.9075 | + | 16.5743i | 0.523045 | + | 0.623340i | ||||
\(708\) | −20.9703 | + | 11.8514i | −0.788113 | + | 0.445402i | ||||
\(709\) | 1.06981 | + | 6.06722i | 0.0401777 | + | 0.227859i | 0.998284 | − | 0.0585526i | \(-0.0186485\pi\) |
−0.958107 | + | 0.286412i | \(0.907537\pi\) | |||||||
\(710\) | −9.01643 | + | 5.20564i | −0.338381 | + | 0.195364i | ||||
\(711\) | −5.21558 | − | 15.1937i | −0.195600 | − | 0.569809i | ||||
\(712\) | −12.4244 | − | 4.52209i | −0.465622 | − | 0.169473i | ||||
\(713\) | 5.41960 | + | 1.97257i | 0.202966 | + | 0.0738735i | ||||
\(714\) | −0.671869 | + | 0.553314i | −0.0251441 | + | 0.0207073i | ||||
\(715\) | −8.72356 | + | 5.03655i | −0.326243 | + | 0.188356i | ||||
\(716\) | 2.64846 | + | 15.0202i | 0.0989777 | + | 0.561331i | ||||
\(717\) | −21.4297 | − | 37.9186i | −0.800307 | − | 1.41610i | ||||
\(718\) | −20.0176 | − | 23.8561i | −0.747050 | − | 0.890300i | ||||
\(719\) | 45.4518 | + | 8.01438i | 1.69507 | + | 0.298886i | 0.935967 | − | 0.352088i | \(-0.114528\pi\) |
0.759100 | + | 0.650974i | \(0.225639\pi\) | |||||||
\(720\) | −1.07775 | + | 2.79973i | −0.0401653 | + | 0.104340i | ||||
\(721\) | 8.84779i | 0.329509i | ||||||||
\(722\) | 19.0000 | − | 0.00284856i | 0.707107 | − | 0.000106012i | ||||
\(723\) | −21.5418 | − | 8.06574i | −0.801149 | − | 0.299968i | ||||
\(724\) | 7.89648 | + | 21.6954i | 0.293470 | + | 0.806303i | ||||
\(725\) | 0.168343 | − | 0.954718i | 0.00625209 | − | 0.0354573i | ||||
\(726\) | 1.34708 | + | 3.80974i | 0.0499947 | + | 0.141393i | ||||
\(727\) | −38.7414 | − | 32.5079i | −1.43684 | − | 1.20565i | −0.941528 | − | 0.336934i | \(-0.890610\pi\) |
−0.495310 | − | 0.868716i | \(-0.664946\pi\) | |||||||
\(728\) | 9.45596 | − | 1.66734i | 0.350461 | − | 0.0617958i | ||||
\(729\) | −26.9589 | − | 1.48942i | −0.998477 | − | 0.0551636i | ||||
\(730\) | −0.315579 | − | 0.182199i | −0.0116801 | − | 0.00674350i | ||||
\(731\) | 0.678844 | − | 1.86511i | 0.0251079 | − | 0.0689835i | ||||
\(732\) | 0.827209 | − | 0.967613i | 0.0305745 | − | 0.0357640i | ||||
\(733\) | −9.55223 | + | 16.5449i | −0.352820 | + | 0.611101i | −0.986742 | − | 0.162295i | \(-0.948110\pi\) |
0.633923 | + | 0.773396i | \(0.281444\pi\) | |||||||
\(734\) | −8.56874 | − | 14.8415i | −0.316278 | − | 0.547809i | ||||
\(735\) | −0.276890 | + | 1.49004i | −0.0102133 | + | 0.0549610i | ||||
\(736\) | −0.509670 | + | 0.607401i | −0.0187867 | + | 0.0223891i | ||||
\(737\) | −12.3583 | + | 10.3699i | −0.455225 | + | 0.381979i | ||||
\(738\) | −21.3675 | + | 17.2697i | −0.786547 | + | 0.635705i | ||||
\(739\) | −32.6058 | + | 11.8675i | −1.19942 | + | 0.436554i | −0.863023 | − | 0.505165i | \(-0.831432\pi\) |
−0.336400 | + | 0.941719i | \(0.609209\pi\) | |||||||
\(740\) | 6.44330 | 0.236860 | ||||||||
\(741\) | −22.2528 | − | 13.1198i | −0.817478 | − | 0.481968i | ||||
\(742\) | −15.9360 | −0.585028 | ||||||||
\(743\) | 4.24197 | − | 1.54395i | 0.155623 | − | 0.0566421i | −0.263034 | − | 0.964787i | \(-0.584723\pi\) |
0.418657 | + | 0.908144i | \(0.362501\pi\) | |||||||
\(744\) | 6.39937 | − | 10.8523i | 0.234612 | − | 0.397863i | ||||
\(745\) | −1.82196 | + | 1.52881i | −0.0667516 | + | 0.0560112i | ||||
\(746\) | 4.33735 | − | 5.16906i | 0.158802 | − | 0.189253i | ||||
\(747\) | 33.4126 | + | 20.1192i | 1.22250 | + | 0.736124i | ||||
\(748\) | −0.263590 | − | 0.456550i | −0.00963779 | − | 0.0166931i | ||||
\(749\) | −13.5817 | + | 23.5242i | −0.496264 | + | 0.859555i | ||||
\(750\) | −1.31653 | − | 1.12550i | −0.0480729 | − | 0.0410974i | ||||
\(751\) | 9.49119 | − | 26.0768i | 0.346339 | − | 0.951557i | −0.637174 | − | 0.770720i | \(-0.719897\pi\) |
0.983513 | − | 0.180838i | \(-0.0578809\pi\) | |||||||
\(752\) | 0.170780 | + | 0.0986001i | 0.00622772 | + | 0.00359558i | ||||
\(753\) | 7.00177 | + | 41.9626i | 0.255159 | + | 1.52920i | ||||
\(754\) | −3.26666 | + | 0.576001i | −0.118965 | + | 0.0209767i | ||||
\(755\) | 3.96700 | + | 3.32871i | 0.144374 | + | 0.121144i | ||||
\(756\) | −5.36340 | + | 13.5595i | −0.195065 | + | 0.493153i | ||||
\(757\) | −1.17463 | + | 6.66166i | −0.0426927 | + | 0.242122i | −0.998685 | − | 0.0512701i | \(-0.983673\pi\) |
0.955992 | + | 0.293392i | \(0.0947842\pi\) | |||||||
\(758\) | 9.06976 | + | 24.9190i | 0.329429 | + | 0.905098i | ||||
\(759\) | 1.41772 | − | 3.78641i | 0.0514599 | − | 0.137438i | ||||
\(760\) | −0.757237 | − | 4.29262i | −0.0274679 | − | 0.155710i | ||||
\(761\) | − | 32.9367i | − | 1.19395i | −0.802259 | − | 0.596977i | \(-0.796368\pi\) | ||
0.802259 | − | 0.596977i | \(-0.203632\pi\) | |||||||
\(762\) | −33.3571 | − | 0.306848i | −1.20840 | − | 0.0111159i | ||||
\(763\) | −45.9002 | − | 8.09345i | −1.66170 | − | 0.293002i | ||||
\(764\) | 8.44674 | + | 10.0664i | 0.305592 | + | 0.364191i | ||||
\(765\) | −0.0835375 | − | 0.530676i | −0.00302030 | − | 0.0191866i | ||||
\(766\) | 3.26632 | + | 18.5242i | 0.118017 | + | 0.669307i | ||||
\(767\) | −41.2089 | + | 23.7920i | −1.48797 | + | 0.859079i | ||||
\(768\) | 1.10109 | + | 1.33701i | 0.0397321 | + | 0.0482453i | ||||
\(769\) | 20.4283 | + | 7.43530i | 0.736664 | + | 0.268124i | 0.682983 | − | 0.730434i | \(-0.260682\pi\) |
0.0536813 | + | 0.998558i | \(0.482904\pi\) | |||||||
\(770\) | −7.76328 | − | 2.82560i | −0.279769 | − | 0.101828i | ||||
\(771\) | −19.1782 | − | 23.2874i | −0.690686 | − | 0.838675i | ||||
\(772\) | −10.9029 | + | 6.29477i | −0.392403 | + | 0.226554i | ||||
\(773\) | 6.43318 | + | 36.4844i | 0.231386 | + | 1.31225i | 0.850094 | + | 0.526632i | \(0.176545\pi\) |
−0.618708 | + | 0.785621i | \(0.712344\pi\) | |||||||
\(774\) | −5.17073 | − | 32.8473i | −0.185858 | − | 1.18067i | ||||
\(775\) | 4.67549 | + | 5.57204i | 0.167949 | + | 0.200153i | ||||
\(776\) | 9.75856 | + | 1.72070i | 0.350312 | + | 0.0617694i | ||||
\(777\) | 31.3167 | + | 0.288078i | 1.12348 | + | 0.0103347i | ||||
\(778\) | − | 12.4277i | − | 0.445554i | ||||||
\(779\) | 13.6501 | − | 37.5122i | 0.489066 | − | 1.34401i | ||||
\(780\) | −2.07808 | + | 5.55010i | −0.0744073 | + | 0.198725i | ||||
\(781\) | −10.4831 | − | 28.8021i | −0.375115 | − | 1.03062i | ||||
\(782\) | 0.0246556 | − | 0.139829i | 0.000881682 | − | 0.00500027i | ||||
\(783\) | 1.85284 | − | 4.68426i | 0.0662152 | − | 0.167402i | ||||
\(784\) | 0.670292 | + | 0.562442i | 0.0239390 | + | 0.0200872i | ||||
\(785\) | 12.4981 | − | 2.20376i | 0.446077 | − | 0.0786554i | ||||
\(786\) | −0.561498 | − | 3.36513i | −0.0200280 | − | 0.120030i | ||||
\(787\) | −30.6109 | − | 17.6732i | −1.09116 | − | 0.629982i | −0.157276 | − | 0.987555i | \(-0.550271\pi\) |
−0.933885 | + | 0.357572i | \(0.883605\pi\) | |||||||
\(788\) | −2.30124 | + | 6.32262i | −0.0819784 | + | 0.225234i | ||||
\(789\) | 28.8775 | + | 24.6873i | 1.02807 | + | 0.878891i | ||||
\(790\) | 2.67733 | − | 4.63727i | 0.0952551 | − | 0.164987i | ||||
\(791\) | 1.81747 | + | 3.14795i | 0.0646217 | + | 0.111928i | ||||
\(792\) | −7.56614 | − | 4.55592i | −0.268851 | − | 0.161888i | ||||
\(793\) | 1.61647 | − | 1.92643i | 0.0574024 | − | 0.0684096i | ||||
\(794\) | −8.58256 | + | 7.20162i | −0.304584 | + | 0.255576i | ||||
\(795\) | 4.99610 | − | 8.47254i | 0.177193 | − | 0.300490i | ||||
\(796\) | 7.53380 | − | 2.74208i | 0.267028 | − | 0.0971904i | ||||
\(797\) | −33.2298 | −1.17706 | −0.588530 | − | 0.808475i | \(-0.700293\pi\) | ||||
−0.588530 | + | 0.808475i | \(0.700293\pi\) | |||||||
\(798\) | −3.48851 | − | 20.8975i | −0.123492 | − | 0.739763i | ||||
\(799\) | −0.0353127 | −0.00124927 | ||||||||
\(800\) | −0.939693 | + | 0.342020i | −0.0332232 | + | 0.0120922i | ||||
\(801\) | 30.8492 | − | 24.9330i | 1.09000 | − | 0.880964i | ||||
\(802\) | 21.1353 | − | 17.7346i | 0.746314 | − | 0.626232i | ||||
\(803\) | 0.689570 | − | 0.821798i | 0.0243344 | − | 0.0290006i | ||||
\(804\) | −1.73408 | + | 9.33169i | −0.0611564 | + | 0.329103i | ||||
\(805\) | −1.11254 | − | 1.92698i | −0.0392120 | − | 0.0679172i | ||||
\(806\) | 12.4440 | − | 21.5536i | 0.438320 | − | 0.759193i | ||||
\(807\) | −1.20039 | + | 1.40413i | −0.0422558 | + | 0.0494279i | ||||
\(808\) | −2.63698 | + | 7.24505i | −0.0927687 | + | 0.254880i | ||||
\(809\) | −43.3260 | − | 25.0143i | −1.52326 | − | 0.879455i | −0.999621 | − | 0.0275152i | \(-0.991241\pi\) |
−0.523640 | − | 0.851940i | \(-0.675426\pi\) | |||||||
\(810\) | −5.52755 | − | 7.10254i | −0.194218 | − | 0.249558i | ||||
\(811\) | −52.4680 | + | 9.25152i | −1.84240 | + | 0.324865i | −0.982595 | − | 0.185759i | \(-0.940526\pi\) |
−0.859804 | + | 0.510623i | \(0.829415\pi\) | |||||||
\(812\) | −2.08403 | − | 1.74871i | −0.0731350 | − | 0.0613675i | ||||
\(813\) | 15.1779 | + | 42.9256i | 0.532314 | + | 1.50547i | ||||
\(814\) | −3.29392 | + | 18.6807i | −0.115452 | + | 0.654759i | ||||
\(815\) | −5.88921 | − | 16.1805i | −0.206290 | − | 0.566777i | ||||
\(816\) | −0.290466 | − | 0.108757i | −0.0101683 | − | 0.00380726i | ||||
\(817\) | 31.0583 | + | 37.0082i | 1.08659 | + | 1.29475i | ||||
\(818\) | − | 14.0635i | − | 0.491718i | ||||||
\(819\) | −10.3483 | + | 26.8825i | −0.361601 | + | 0.939351i | ||||
\(820\) | −9.01881 | − | 1.59026i | −0.314950 | − | 0.0555342i | ||||
\(821\) | −2.84151 | − | 3.38638i | −0.0991693 | − | 0.118185i | 0.714177 | − | 0.699965i | \(-0.246801\pi\) |
−0.813346 | + | 0.581780i | \(0.802357\pi\) | |||||||
\(822\) | 7.41267 | + | 13.1163i | 0.258547 | + | 0.457483i | ||||
\(823\) | 3.00453 | + | 17.0395i | 0.104731 | + | 0.593960i | 0.991327 | + | 0.131416i | \(0.0419523\pi\) |
−0.886596 | + | 0.462544i | \(0.846937\pi\) | |||||||
\(824\) | −2.73049 | + | 1.57645i | −0.0951210 | + | 0.0549181i | ||||
\(825\) | 3.93613 | − | 3.24158i | 0.137039 | − | 0.112857i | ||||
\(826\) | −36.6727 | − | 13.3478i | −1.27601 | − | 0.464429i | ||||
\(827\) | −47.8075 | − | 17.4005i | −1.66243 | − | 0.605075i | −0.671688 | − | 0.740834i | \(-0.734431\pi\) |
−0.990742 | + | 0.135759i | \(0.956653\pi\) | |||||||
\(828\) | −0.772311 | − | 2.24985i | −0.0268397 | − | 0.0781877i | ||||
\(829\) | 40.6182 | − | 23.4509i | 1.41073 | − | 0.814485i | 0.415272 | − | 0.909697i | \(-0.363686\pi\) |
0.995457 | + | 0.0952126i | \(0.0303531\pi\) | |||||||
\(830\) | 2.25756 | + | 12.8033i | 0.0783611 | + | 0.444408i | ||||
\(831\) | 6.55374 | − | 3.70384i | 0.227347 | − | 0.128485i | ||||
\(832\) | 2.19936 | + | 2.62110i | 0.0762491 | + | 0.0908701i | ||||
\(833\) | −0.154307 | − | 0.0272085i | −0.00534642 | − | 0.000942717i | ||||
\(834\) | 0.0173288 | − | 1.88380i | 0.000600048 | − | 0.0652307i | ||||
\(835\) | − | 15.7007i | − | 0.543344i | ||||||
\(836\) | 12.8325 | 0.000961951i | 0.443821 | 3.32698e-5i | ||||||
\(837\) | 17.9875 | + | 33.2410i | 0.621738 | + | 1.14898i | ||||
\(838\) | −1.46261 | − | 4.01849i | −0.0505251 | − | 0.138816i | ||||
\(839\) | −8.90715 | + | 50.5150i | −0.307509 | + | 1.74397i | 0.303944 | + | 0.952690i | \(0.401696\pi\) |
−0.611453 | + | 0.791281i | \(0.709415\pi\) | |||||||
\(840\) | −4.58253 | + | 1.62032i | −0.158112 | + | 0.0559065i | ||||
\(841\) | −21.4953 | − | 18.0367i | −0.741219 | − | 0.621956i | ||||
\(842\) | 13.8112 | − | 2.43528i | 0.475964 | − | 0.0839253i | ||||
\(843\) | −9.65634 | + | 1.61123i | −0.332582 | + | 0.0554938i | ||||
\(844\) | −9.28233 | − | 5.35916i | −0.319511 | − | 0.184470i | ||||
\(845\) | 0.442120 | − | 1.21471i | 0.0152094 | − | 0.0417875i | ||||
\(846\) | −0.517696 | + | 0.286325i | −0.0177988 | + | 0.00984406i | ||||
\(847\) | −3.27349 | + | 5.66985i | −0.112478 | + | 0.194818i | ||||
\(848\) | −2.83938 | − | 4.91795i | −0.0975047 | − | 0.168883i | ||||
\(849\) | −43.2643 | − | 8.03969i | −1.48483 | − | 0.275921i | ||||
\(850\) | 0.115104 | − | 0.137176i | 0.00394804 | − | 0.00470509i | ||||
\(851\) | −3.91366 | + | 3.28395i | −0.134159 | + | 0.112572i | ||||
\(852\) | −15.5333 | − | 9.15970i | −0.532163 | − | 0.313806i | ||||
\(853\) | −9.52240 | + | 3.46587i | −0.326041 | + | 0.118669i | −0.499854 | − | 0.866109i | \(-0.666613\pi\) |
0.173814 | + | 0.984779i | \(0.444391\pi\) | |||||||
\(854\) | 2.06251 | 0.0705776 | ||||||||
\(855\) | 12.2041 | + | 4.69688i | 0.417370 | + | 0.160630i | ||||
\(856\) | −9.67962 | −0.330843 | ||||||||
\(857\) | 35.6104 | − | 12.9611i | 1.21643 | − | 0.442744i | 0.347500 | − | 0.937680i | \(-0.387031\pi\) |
0.868929 | + | 0.494936i | \(0.164808\pi\) | |||||||
\(858\) | −15.0288 | − | 8.86218i | −0.513074 | − | 0.302550i | ||||
\(859\) | −7.45174 | + | 6.25275i | −0.254250 | + | 0.213341i | −0.761000 | − | 0.648752i | \(-0.775291\pi\) |
0.506750 | + | 0.862093i | \(0.330847\pi\) | |||||||
\(860\) | 7.12462 | − | 8.49079i | 0.242948 | − | 0.289534i | ||||
\(861\) | −43.7635 | − | 8.13244i | −1.49145 | − | 0.277153i | ||||
\(862\) | 5.64325 | + | 9.77439i | 0.192210 | + | 0.332917i | ||||
\(863\) | −27.8105 | + | 48.1692i | −0.946681 | + | 1.63970i | −0.194331 | + | 0.980936i | \(0.562254\pi\) |
−0.752350 | + | 0.658764i | \(0.771080\pi\) | |||||||
\(864\) | −5.14016 | + | 0.760763i | −0.174872 | + | 0.0258817i | ||||
\(865\) | −4.59796 | + | 12.6328i | −0.156335 | + | 0.429528i | ||||
\(866\) | 14.8205 | + | 8.55661i | 0.503620 | + | 0.290765i | ||||
\(867\) | −28.9886 | + | 4.83696i | −0.984503 | + | 0.164272i | ||||
\(868\) | 20.1019 | − | 3.54451i | 0.682303 | − | 0.120308i | ||||
\(869\) | 12.0759 | + | 10.1329i | 0.409647 | + | 0.343735i | ||||
\(870\) | 1.58308 | − | 0.559758i | 0.0536715 | − | 0.0189776i | ||||
\(871\) | −3.25590 | + | 18.4651i | −0.110322 | + | 0.625667i | ||||
\(872\) | −5.68054 | − | 15.6072i | −0.192367 | − | 0.528525i | ||||
\(873\) | −19.5240 | + | 22.4171i | −0.660788 | + | 0.758703i | ||||
\(874\) | 2.64777 | + | 2.22140i | 0.0895620 | + | 0.0751400i | ||||
\(875\) | − | 2.80624i | − | 0.0948684i | ||||||
\(876\) | 0.00580568 | − | 0.631130i | 0.000196156 | − | 0.0213239i | ||||
\(877\) | −55.5785 | − | 9.80000i | −1.87675 | − | 0.330922i | −0.885687 | − | 0.464284i | \(-0.846312\pi\) |
−0.991068 | + | 0.133361i | \(0.957423\pi\) | |||||||
\(878\) | 21.6230 | + | 25.7693i | 0.729741 | + | 0.869672i | ||||
\(879\) | 47.7783 | − | 27.0019i | 1.61152 | − | 0.910752i | ||||
\(880\) | −0.511216 | − | 2.89925i | −0.0172331 | − | 0.0977337i | ||||
\(881\) | 22.8706 | − | 13.2043i | 0.770529 | − | 0.444865i | −0.0625344 | − | 0.998043i | \(-0.519918\pi\) |
0.833063 | + | 0.553178i | \(0.186585\pi\) | |||||||
\(882\) | −2.48280 | + | 0.852277i | −0.0836003 | + | 0.0286977i | ||||
\(883\) | 37.9166 | + | 13.8005i | 1.27600 | + | 0.464425i | 0.889106 | − | 0.457701i | \(-0.151327\pi\) |
0.386890 | + | 0.922126i | \(0.373549\pi\) | |||||||
\(884\) | −0.575756 | − | 0.209558i | −0.0193648 | − | 0.00704820i | ||||
\(885\) | 18.5938 | − | 15.3128i | 0.625023 | − | 0.514734i | ||||
\(886\) | −11.2562 | + | 6.49874i | −0.378158 | + | 0.218330i | ||||
\(887\) | 8.74325 | + | 49.5854i | 0.293569 | + | 1.66492i | 0.672960 | + | 0.739679i | \(0.265022\pi\) |
−0.379391 | + | 0.925237i | \(0.623866\pi\) | |||||||
\(888\) | 5.49092 | + | 9.71586i | 0.184263 | + | 0.326043i | ||||
\(889\) | −34.7408 | − | 41.4024i | −1.16517 | − | 1.38859i | ||||
\(890\) | 13.0209 | + | 2.29593i | 0.436460 | + | 0.0769597i | ||||
\(891\) | 23.4178 | − | 12.3948i | 0.784527 | − | 0.415242i | ||||
\(892\) | − | 7.72880i | − | 0.258779i | ||||||
\(893\) | 0.429732 | − | 0.744447i | 0.0143804 | − | 0.0249120i | ||||
\(894\) | −3.85796 | − | 1.44451i | −0.129029 | − | 0.0483115i | ||||
\(895\) | −5.21645 | − | 14.3321i | −0.174367 | − | 0.479069i | ||||
\(896\) | −0.487299 | + | 2.76361i | −0.0162795 | + | 0.0923257i | ||||
\(897\) | −1.56649 | − | 4.43027i | −0.0523035 | − | 0.147922i | ||||
\(898\) | 1.18452 | + | 0.993931i | 0.0395280 | + | 0.0331679i | ||||
\(899\) | −6.94441 | + | 1.22449i | −0.231609 | + | 0.0408389i | ||||
\(900\) | 0.575206 | − | 2.94434i | 0.0191735 | − | 0.0981447i | ||||
\(901\) | 0.880660 | + | 0.508449i | 0.0293390 | + | 0.0169389i | ||||
\(902\) | 9.22112 | − | 25.3348i | 0.307030 | − | 0.843557i | ||||
\(903\) | 35.0078 | − | 40.9497i | 1.16499 | − | 1.36272i | ||||
\(904\) | −0.647652 | + | 1.12177i | −0.0215406 | + | 0.0373094i | ||||
\(905\) | −11.5439 | − | 19.9946i | −0.383731 | − | 0.664642i | ||||
\(906\) | −1.63872 | + | 8.81854i | −0.0544430 | + | 0.292976i | ||||
\(907\) | 1.31411 | − | 1.56610i | 0.0436344 | − | 0.0520015i | −0.743786 | − | 0.668418i | \(-0.766972\pi\) |
0.787420 | + | 0.616416i | \(0.211416\pi\) | |||||||
\(908\) | −21.8767 | + | 18.3567i | −0.726004 | + | 0.609190i | ||||
\(909\) | −14.5392 | − | 17.9892i | −0.482236 | − | 0.596663i | ||||
\(910\) | −9.02277 | + | 3.28402i | −0.299102 | + | 0.108864i | ||||
\(911\) | −5.99399 | −0.198590 | −0.0992948 | − | 0.995058i | \(-0.531659\pi\) | ||||
−0.0992948 | + | 0.995058i | \(0.531659\pi\) | |||||||
\(912\) | 5.82754 | − | 4.79997i | 0.192969 | − | 0.158943i | ||||
\(913\) | −38.2740 | −1.26668 | ||||||||
\(914\) | −19.6170 | + | 7.13999i | −0.648871 | + | 0.236170i | ||||
\(915\) | −0.646618 | + | 1.09656i | −0.0213765 | + | 0.0362510i | ||||
\(916\) | −11.5837 | + | 9.71986i | −0.382735 | + | 0.321153i | ||||
\(917\) | 3.55302 | − | 4.23432i | 0.117331 | − | 0.139830i | ||||
\(918\) | 0.729018 | − | 0.578204i | 0.0240612 | − | 0.0190836i | ||||
\(919\) | 24.2042 | + | 41.9230i | 0.798424 | + | 1.38291i | 0.920642 | + | 0.390408i | \(0.127666\pi\) |
−0.122218 | + | 0.992503i | \(0.539001\pi\) | |||||||
\(920\) | 0.396453 | − | 0.686676i | 0.0130707 | − | 0.0226390i | ||||
\(921\) | −16.7034 | − | 14.2797i | −0.550397 | − | 0.470533i | ||||
\(922\) | −4.28635 | + | 11.7766i | −0.141163 | + | 0.387843i | ||||
\(923\) | −30.8506 | − | 17.8116i | −1.01546 | − | 0.586276i | ||||
\(924\) | −2.35506 | − | 14.1142i | −0.0774760 | − | 0.464324i | ||||
\(925\) | −6.34541 | + | 1.11887i | −0.208636 | + | 0.0367881i | ||||
\(926\) | 5.23401 | + | 4.39185i | 0.172000 | + | 0.144325i | ||||
\(927\) | 0.174003 | − | 9.45708i | 0.00571502 | − | 0.310611i | ||||
\(928\) | 0.168343 | − | 0.954718i | 0.00552612 | − | 0.0313402i | ||||
\(929\) | −15.9528 | − | 43.8299i | −0.523393 | − | 1.43801i | −0.866720 | − | 0.498795i | \(-0.833776\pi\) |
0.343327 | − | 0.939216i | \(-0.388446\pi\) | |||||||
\(930\) | −4.41767 | + | 11.7986i | −0.144861 | + | 0.386892i | ||||
\(931\) | 2.45141 | − | 2.92192i | 0.0803416 | − | 0.0957620i | ||||
\(932\) | 13.9329i | 0.456389i | ||||||||
\(933\) | 34.5504 | + | 0.317824i | 1.13113 | + | 0.0104051i | ||||
\(934\) | 16.3802 | + | 2.88826i | 0.535975 | + | 0.0945069i | ||||
\(935\) | 0.338864 | + | 0.403843i | 0.0110820 | + | 0.0132071i | ||||
\(936\) | −10.1399 | + | 1.59620i | −0.331434 | + | 0.0521733i | ||||
\(937\) | −2.07938 | − | 11.7927i | −0.0679302 | − | 0.385252i | −0.999751 | − | 0.0223317i | \(-0.992891\pi\) |
0.931820 | − | 0.362920i | \(-0.118220\pi\) | |||||||
\(938\) | −13.3177 | + | 7.68895i | −0.434837 | + | 0.251053i | ||||
\(939\) | 11.3267 | + | 13.7536i | 0.369634 | + | 0.448833i | ||||
\(940\) | −0.185308 | − | 0.0674464i | −0.00604407 | − | 0.00219986i | ||||
\(941\) | 46.9123 | + | 17.0747i | 1.52930 | + | 0.556619i | 0.963450 | − | 0.267890i | \(-0.0863263\pi\) |
0.565849 | + | 0.824509i | \(0.308549\pi\) | |||||||
\(942\) | 13.9738 | + | 16.9679i | 0.455292 | + | 0.552845i | ||||
\(943\) | 6.28854 | − | 3.63069i | 0.204783 | − | 0.118232i | ||||
\(944\) | −2.41492 | − | 13.6957i | −0.0785988 | − | 0.445756i | ||||
\(945\) | 2.92735 | − | 14.2848i | 0.0952266 | − | 0.464685i | ||||
\(946\) | 20.9747 | + | 24.9967i | 0.681947 | + | 0.812712i | ||||
\(947\) | −0.296171 | − | 0.0522230i | −0.00962427 | − | 0.00169702i | 0.168834 | − | 0.985645i | \(-0.446000\pi\) |
−0.178458 | + | 0.983947i | \(0.557111\pi\) | |||||||
\(948\) | 9.27415 | + | 0.0853116i | 0.301210 | + | 0.00277079i | ||||
\(949\) | − | 1.24683i | − | 0.0404737i | ||||||
\(950\) | 1.49114 | + | 4.09591i | 0.0483789 | + | 0.132889i | ||||
\(951\) | 2.29853 | − | 6.13888i | 0.0745351 | − | 0.199067i | ||||
\(952\) | −0.171870 | − | 0.472210i | −0.00557035 | − | 0.0153044i | ||||
\(953\) | 1.12852 | − | 6.40013i | 0.0365562 | − | 0.207321i | −0.961059 | − | 0.276344i | \(-0.910877\pi\) |
0.997615 | + | 0.0690233i | \(0.0219883\pi\) | |||||||
\(954\) | 17.0334 | + | 0.313402i | 0.551477 | + | 0.0101468i | ||||
\(955\) | −10.0664 | − | 8.44674i | −0.325742 | − | 0.273330i | ||||
\(956\) | 24.7646 | − | 4.36666i | 0.800943 | − | 0.141228i | ||||
\(957\) | 0.813582 | + | 4.87591i | 0.0262994 | + | 0.157616i | ||||
\(958\) | −5.71933 | − | 3.30206i | −0.184783 | − | 0.106685i | ||||
\(959\) | −8.34863 | + | 22.9377i | −0.269591 | + | 0.740696i | ||||
\(960\) | −1.31653 | − | 1.12550i | −0.0424908 | − | 0.0363253i | ||||
\(961\) | 10.9539 | − | 18.9727i | 0.353352 | − | 0.612024i | ||||
\(962\) | 11.0232 | + | 19.0927i | 0.355402 | + | 0.615574i | ||||
\(963\) | 14.9796 | − | 24.8770i | 0.482711 | − | 0.801652i | ||||
\(964\) | 8.53647 | − | 10.1734i | 0.274941 | − | 0.327662i | ||||
\(965\) | 9.64415 | − | 8.09240i | 0.310456 | − | 0.260504i | ||||
\(966\) | 1.95760 | − | 3.31976i | 0.0629848 | − | 0.106812i | ||||
\(967\) | −36.2786 | + | 13.2043i | −1.16664 | + | 0.424622i | −0.851465 | − | 0.524412i | \(-0.824285\pi\) |
−0.315175 | + | 0.949034i | \(0.602063\pi\) | |||||||
\(968\) | −2.33301 | −0.0749856 | ||||||||
\(969\) | −0.473966 | + | 1.26615i | −0.0152260 | + | 0.0406745i | ||||
\(970\) | −9.90910 | −0.318162 | ||||||||
\(971\) | 18.9098 | − | 6.88262i | 0.606845 | − | 0.220874i | −0.0202770 | − | 0.999794i | \(-0.506455\pi\) |
0.627122 | + | 0.778921i | \(0.284233\pi\) | |||||||
\(972\) | 5.99941 | − | 14.3877i | 0.192431 | − | 0.461487i | ||||
\(973\) | 2.33815 | − | 1.96194i | 0.0749577 | − | 0.0628969i | ||||
\(974\) | −5.73337 | + | 6.83276i | −0.183709 | + | 0.218936i | ||||
\(975\) | 1.08275 | − | 5.82663i | 0.0346757 | − | 0.186602i | ||||
\(976\) | 0.367486 | + | 0.636504i | 0.0117629 | + | 0.0203740i | ||||
\(977\) | 27.8764 | − | 48.2833i | 0.891845 | − | 1.54472i | 0.0541839 | − | 0.998531i | \(-0.482744\pi\) |
0.837661 | − | 0.546190i | \(-0.183922\pi\) | |||||||
\(978\) | 19.3798 | − | 22.6692i | 0.619699 | − | 0.724881i | ||||
\(979\) | −13.3129 | + | 36.5770i | −0.425483 | + | 1.16901i | ||||
\(980\) | −0.757775 | − | 0.437502i | −0.0242062 | − | 0.0139755i | ||||
\(981\) | 48.9019 | + | 9.55348i | 1.56132 | + | 0.305019i | ||||
\(982\) | −5.37581 | + | 0.947900i | −0.171549 | + | 0.0302487i | ||||
\(983\) | −31.1696 | − | 26.1544i | −0.994157 | − | 0.834197i | −0.00799255 | − | 0.999968i | \(-0.502544\pi\) |
−0.986164 | + | 0.165772i | \(0.946989\pi\) | |||||||
\(984\) | −5.28779 | − | 14.9547i | −0.168569 | − | 0.476738i | ||||
\(985\) | 1.16837 | − | 6.62617i | 0.0372274 | − | 0.211127i | ||||
\(986\) | 0.0593744 | + | 0.163130i | 0.00189087 | + | 0.00519511i | ||||
\(987\) | −0.897644 | − | 0.336098i | −0.0285723 | − | 0.0106981i | ||||
\(988\) | 11.4244 | − | 9.58765i | 0.363458 | − | 0.305024i | ||||
\(989\) | 8.78852i | 0.279459i | ||||||||
\(990\) | 8.24232 | + | 3.17286i | 0.261958 | + | 0.100840i | ||||
\(991\) | 32.4742 | + | 5.72607i | 1.03158 | + | 0.181895i | 0.663714 | − | 0.747986i | \(-0.268979\pi\) |
0.367861 | + | 0.929881i | \(0.380090\pi\) | |||||||
\(992\) | 4.67549 | + | 5.57204i | 0.148447 | + | 0.176912i | ||||
\(993\) | 2.61755 | + | 4.63160i | 0.0830654 | + | 0.146979i | ||||
\(994\) | −5.07341 | − | 28.7727i | −0.160919 | − | 0.912615i | ||||
\(995\) | −6.94319 | + | 4.00865i | −0.220114 | + | 0.127083i | ||||
\(996\) | −17.3822 | + | 14.3150i | −0.550776 | + | 0.453589i | ||||
\(997\) | −0.991469 | − | 0.360865i | −0.0314001 | − | 0.0114287i | 0.326272 | − | 0.945276i | \(-0.394207\pi\) |
−0.357672 | + | 0.933847i | \(0.616430\pi\) | |||||||
\(998\) | 9.79305 | + | 3.56438i | 0.309994 | + | 0.112828i | ||||
\(999\) | −33.4676 | − | 0.923800i | −1.05887 | − | 0.0292277i |
(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 | 570.2.bb.b.71.3 | yes | 84 | |
3.2 | odd | 2 | 570.2.bb.a.71.2 | ✓ | 84 | ||
19.15 | odd | 18 | 570.2.bb.a.281.2 | yes | 84 | ||
57.53 | even | 18 | inner | 570.2.bb.b.281.3 | yes | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bb.a.71.2 | ✓ | 84 | 3.2 | odd | 2 | ||
570.2.bb.a.281.2 | yes | 84 | 19.15 | odd | 18 | ||
570.2.bb.b.71.3 | yes | 84 | 1.1 | even | 1 | trivial | |
570.2.bb.b.281.3 | yes | 84 | 57.53 | even | 18 | inner |