Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(85,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.cs (of order \(6\), degree \(2\), 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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 85.3 | ||
Character | \(\chi\) | \(=\) | 504.85 |
Dual form | 504.2.cs.a.421.3 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38589 | − | 0.281624i | −0.979971 | − | 0.199139i | ||||
\(3\) | 1.31821 | − | 1.12353i | 0.761068 | − | 0.648672i | ||||
\(4\) | 1.84138 | + | 0.780600i | 0.920688 | + | 0.390300i | ||||
\(5\) | 2.74638 | + | 1.58562i | 1.22822 | + | 0.709111i | 0.966657 | − | 0.256076i | \(-0.0824297\pi\) |
0.261560 | + | 0.965187i | \(0.415763\pi\) | |||||||
\(6\) | −2.14331 | + | 1.18585i | −0.875001 | + | 0.484122i | ||||
\(7\) | 0.500000 | + | 0.866025i | 0.188982 | + | 0.327327i | ||||
\(8\) | −2.33211 | − | 1.60040i | −0.824524 | − | 0.565827i | ||||
\(9\) | 0.475349 | − | 2.96210i | 0.158450 | − | 0.987367i | ||||
\(10\) | −3.35962 | − | 2.97094i | −1.06241 | − | 0.939494i | ||||
\(11\) | 3.01620 | − | 1.74141i | 0.909419 | − | 0.525053i | 0.0291749 | − | 0.999574i | \(-0.490712\pi\) |
0.880244 | + | 0.474521i | \(0.157379\pi\) | |||||||
\(12\) | 3.30435 | − | 1.03985i | 0.953883 | − | 0.300179i | ||||
\(13\) | −6.16846 | − | 3.56136i | −1.71082 | − | 0.987744i | −0.933454 | − | 0.358698i | \(-0.883221\pi\) |
−0.777368 | − | 0.629046i | \(-0.783446\pi\) | |||||||
\(14\) | −0.449051 | − | 1.34103i | −0.120014 | − | 0.358405i | ||||
\(15\) | 5.40179 | − | 0.995463i | 1.39474 | − | 0.257028i | ||||
\(16\) | 2.78133 | + | 2.87476i | 0.695332 | + | 0.718689i | ||||
\(17\) | 5.78991 | 1.40426 | 0.702130 | − | 0.712049i | \(-0.252233\pi\) | ||||
0.702130 | + | 0.712049i | \(0.252233\pi\) | |||||||
\(18\) | −1.49298 | + | 3.97127i | −0.351899 | + | 0.936038i | ||||
\(19\) | 1.23567i | 0.283482i | 0.989904 | + | 0.141741i | \(0.0452700\pi\) | ||||
−0.989904 | + | 0.141741i | \(0.954730\pi\) | |||||||
\(20\) | 3.81937 | + | 5.06355i | 0.854038 | + | 1.13224i | ||||
\(21\) | 1.63211 | + | 0.579836i | 0.356156 | + | 0.126531i | ||||
\(22\) | −4.67054 | + | 1.56396i | −0.995763 | + | 0.333437i | ||||
\(23\) | −3.95802 | + | 6.85549i | −0.825304 | + | 1.42947i | 0.0763834 | + | 0.997079i | \(0.475663\pi\) |
−0.901687 | + | 0.432389i | \(0.857671\pi\) | |||||||
\(24\) | −4.87230 | + | 0.510533i | −0.994555 | + | 0.104212i | ||||
\(25\) | 2.52839 | + | 4.37930i | 0.505678 | + | 0.875859i | ||||
\(26\) | 7.54583 | + | 6.67284i | 1.47986 | + | 1.30865i | ||||
\(27\) | −2.70141 | − | 4.43874i | −0.519886 | − | 0.854236i | ||||
\(28\) | 0.244668 | + | 1.98498i | 0.0462379 | + | 0.375126i | ||||
\(29\) | 6.94356 | − | 4.00887i | 1.28939 | − | 0.744428i | 0.310842 | − | 0.950461i | \(-0.399389\pi\) |
0.978545 | + | 0.206033i | \(0.0660555\pi\) | |||||||
\(30\) | −7.76663 | − | 0.141675i | −1.41799 | − | 0.0258663i | ||||
\(31\) | −1.16438 | + | 2.01677i | −0.209129 | + | 0.362222i | −0.951440 | − | 0.307833i | \(-0.900396\pi\) |
0.742312 | + | 0.670055i | \(0.233729\pi\) | |||||||
\(32\) | −3.04501 | − | 4.76738i | −0.538287 | − | 0.842762i | ||||
\(33\) | 2.01946 | − | 5.68434i | 0.351543 | − | 0.989516i | ||||
\(34\) | −8.02417 | − | 1.63058i | −1.37613 | − | 0.279642i | ||||
\(35\) | 3.17124i | 0.536038i | ||||||||
\(36\) | 3.18751 | − | 5.08328i | 0.531252 | − | 0.847214i | ||||
\(37\) | 1.06276i | 0.174717i | 0.996177 | + | 0.0873585i | \(0.0278426\pi\) | ||||
−0.996177 | + | 0.0873585i | \(0.972157\pi\) | |||||||
\(38\) | 0.347995 | − | 1.71250i | 0.0564522 | − | 0.277804i | ||||
\(39\) | −12.1326 | + | 2.23585i | −1.94277 | + | 0.358022i | ||||
\(40\) | −3.86721 | − | 8.09314i | −0.611460 | − | 1.27964i | ||||
\(41\) | 0.170503 | − | 0.295320i | 0.0266281 | − | 0.0461213i | −0.852404 | − | 0.522883i | \(-0.824856\pi\) |
0.879032 | + | 0.476762i | \(0.158190\pi\) | |||||||
\(42\) | −2.09863 | − | 1.26323i | −0.323826 | − | 0.194921i | ||||
\(43\) | −2.22471 | + | 1.28444i | −0.339265 | + | 0.195875i | −0.659947 | − | 0.751312i | \(-0.729421\pi\) |
0.320682 | + | 0.947187i | \(0.396088\pi\) | |||||||
\(44\) | 6.91330 | − | 0.852133i | 1.04222 | − | 0.128464i | ||||
\(45\) | 6.00226 | − | 7.38132i | 0.894764 | − | 1.10034i | ||||
\(46\) | 7.41604 | − | 8.38627i | 1.09344 | − | 1.23649i | ||||
\(47\) | 2.42471 | + | 4.19972i | 0.353680 | + | 0.612592i | 0.986891 | − | 0.161387i | \(-0.0515967\pi\) |
−0.633211 | + | 0.773979i | \(0.718263\pi\) | |||||||
\(48\) | 6.89625 | + | 0.664617i | 0.995388 | + | 0.0959292i | ||||
\(49\) | −0.500000 | + | 0.866025i | −0.0714286 | + | 0.123718i | ||||
\(50\) | −2.27075 | − | 6.78127i | −0.321132 | − | 0.959017i | ||||
\(51\) | 7.63231 | − | 6.50515i | 1.06874 | − | 0.910904i | ||||
\(52\) | −8.57845 | − | 11.3729i | −1.18962 | − | 1.57714i | ||||
\(53\) | 2.97668i | 0.408878i | 0.978879 | + | 0.204439i | \(0.0655370\pi\) | ||||
−0.978879 | + | 0.204439i | \(0.934463\pi\) | |||||||
\(54\) | 2.49379 | + | 6.91238i | 0.339362 | + | 0.940656i | ||||
\(55\) | 11.0448 | 1.48929 | ||||||||
\(56\) | 0.219935 | − | 2.81986i | 0.0293901 | − | 0.376820i | ||||
\(57\) | 1.38831 | + | 1.62887i | 0.183887 | + | 0.215749i | ||||
\(58\) | −10.7520 | + | 3.60037i | −1.41181 | + | 0.472752i | ||||
\(59\) | −5.05088 | − | 2.91612i | −0.657568 | − | 0.379647i | 0.133782 | − | 0.991011i | \(-0.457288\pi\) |
−0.791350 | + | 0.611364i | \(0.790621\pi\) | |||||||
\(60\) | 10.7238 | + | 2.38362i | 1.38444 | + | 0.307724i | ||||
\(61\) | 4.86161 | − | 2.80685i | 0.622466 | − | 0.359381i | −0.155362 | − | 0.987858i | \(-0.549655\pi\) |
0.777828 | + | 0.628477i | \(0.216321\pi\) | |||||||
\(62\) | 2.18167 | − | 2.46709i | 0.277073 | − | 0.313321i | ||||
\(63\) | 2.80293 | − | 1.06939i | 0.353136 | − | 0.134730i | ||||
\(64\) | 2.87743 | + | 7.46461i | 0.359679 | + | 0.933076i | ||||
\(65\) | −11.2939 | − | 19.5617i | −1.40084 | − | 2.42633i | ||||
\(66\) | −4.39959 | + | 7.30913i | −0.541553 | + | 0.899692i | ||||
\(67\) | −6.92522 | − | 3.99828i | −0.846050 | − | 0.488467i | 0.0132660 | − | 0.999912i | \(-0.495777\pi\) |
−0.859316 | + | 0.511445i | \(0.829111\pi\) | |||||||
\(68\) | 10.6614 | + | 4.51961i | 1.29288 | + | 0.548083i | ||||
\(69\) | 2.48487 | + | 13.4839i | 0.299143 | + | 1.62327i | ||||
\(70\) | 0.893099 | − | 4.39499i | 0.106746 | − | 0.525302i | ||||
\(71\) | −4.79832 | −0.569456 | −0.284728 | − | 0.958608i | \(-0.591903\pi\) | ||||
−0.284728 | + | 0.958608i | \(0.591903\pi\) | |||||||
\(72\) | −5.84911 | + | 6.14718i | −0.689325 | + | 0.724452i | ||||
\(73\) | −9.24923 | −1.08254 | −0.541270 | − | 0.840849i | \(-0.682056\pi\) | ||||
−0.541270 | + | 0.840849i | \(0.682056\pi\) | |||||||
\(74\) | 0.299300 | − | 1.47287i | 0.0347929 | − | 0.171218i | ||||
\(75\) | 8.25323 | + | 2.93210i | 0.953001 | + | 0.338570i | ||||
\(76\) | −0.964564 | + | 2.27533i | −0.110643 | + | 0.260998i | ||||
\(77\) | 3.01620 | + | 1.74141i | 0.343728 | + | 0.198452i | ||||
\(78\) | 17.4441 | + | 0.318208i | 1.97516 | + | 0.0360300i | ||||
\(79\) | 0.117791 | + | 0.204020i | 0.0132525 | + | 0.0229540i | 0.872576 | − | 0.488479i | \(-0.162448\pi\) |
−0.859323 | + | 0.511433i | \(0.829115\pi\) | |||||||
\(80\) | 3.08030 | + | 12.3053i | 0.344388 | + | 1.37577i | ||||
\(81\) | −8.54809 | − | 2.81607i | −0.949787 | − | 0.312896i | ||||
\(82\) | −0.319468 | + | 0.361263i | −0.0352793 | + | 0.0398948i | ||||
\(83\) | 8.77989 | − | 5.06907i | 0.963718 | − | 0.556403i | 0.0664027 | − | 0.997793i | \(-0.478848\pi\) |
0.897315 | + | 0.441390i | \(0.145514\pi\) | |||||||
\(84\) | 2.55271 | + | 2.34172i | 0.278524 | + | 0.255503i | ||||
\(85\) | 15.9013 | + | 9.18061i | 1.72474 | + | 0.995777i | ||||
\(86\) | 3.44493 | − | 1.15355i | 0.371476 | − | 0.124391i | ||||
\(87\) | 4.64897 | − | 13.0858i | 0.498422 | − | 1.40295i | ||||
\(88\) | −9.82105 | − | 0.765993i | −1.04693 | − | 0.0816551i | ||||
\(89\) | 2.91474 | 0.308961 | 0.154481 | − | 0.987996i | \(-0.450630\pi\) | ||||
0.154481 | + | 0.987996i | \(0.450630\pi\) | |||||||
\(90\) | −10.3972 | + | 8.53931i | −1.09596 | + | 0.900122i | ||||
\(91\) | − | 7.12272i | − | 0.746664i | ||||||
\(92\) | −12.6396 | + | 9.53390i | −1.31777 | + | 0.993977i | ||||
\(93\) | 0.731005 | + | 3.96674i | 0.0758017 | + | 0.411331i | ||||
\(94\) | −2.17764 | − | 6.50321i | −0.224606 | − | 0.670754i | ||||
\(95\) | −1.95930 | + | 3.39361i | −0.201020 | + | 0.348177i | ||||
\(96\) | −9.37027 | − | 2.86324i | −0.956349 | − | 0.292228i | ||||
\(97\) | 2.31751 | + | 4.01404i | 0.235307 | + | 0.407564i | 0.959362 | − | 0.282178i | \(-0.0910570\pi\) |
−0.724055 | + | 0.689743i | \(0.757724\pi\) | |||||||
\(98\) | 0.936838 | − | 1.05940i | 0.0946350 | − | 0.107016i | ||||
\(99\) | −3.72447 | − | 9.76207i | −0.374323 | − | 0.981125i | ||||
\(100\) | 1.23723 | + | 10.0376i | 0.123723 | + | 1.00376i | ||||
\(101\) | −11.3205 | + | 6.53589i | −1.12643 | + | 0.650345i | −0.943035 | − | 0.332694i | \(-0.892042\pi\) |
−0.183396 | + | 0.983039i | \(0.558709\pi\) | |||||||
\(102\) | −12.4095 | + | 6.86598i | −1.22873 | + | 0.679833i | ||||
\(103\) | −7.57149 | + | 13.1142i | −0.746041 | + | 1.29218i | 0.203665 | + | 0.979041i | \(0.434715\pi\) |
−0.949707 | + | 0.313141i | \(0.898619\pi\) | |||||||
\(104\) | 8.68589 | + | 18.1775i | 0.851721 | + | 1.78245i | ||||
\(105\) | 3.56299 | + | 4.18036i | 0.347713 | + | 0.407961i | ||||
\(106\) | 0.838305 | − | 4.12534i | 0.0814234 | − | 0.400689i | ||||
\(107\) | 8.59891i | 0.831288i | 0.909527 | + | 0.415644i | \(0.136444\pi\) | ||||
−0.909527 | + | 0.415644i | \(0.863556\pi\) | |||||||
\(108\) | −1.50943 | − | 10.2821i | −0.145245 | − | 0.989396i | ||||
\(109\) | − | 17.9715i | − | 1.72136i | −0.509146 | − | 0.860680i | \(-0.670039\pi\) | ||
0.509146 | − | 0.860680i | \(-0.329961\pi\) | |||||||
\(110\) | −15.3069 | − | 3.11049i | −1.45946 | − | 0.296574i | ||||
\(111\) | 1.19405 | + | 1.40094i | 0.113334 | + | 0.132972i | ||||
\(112\) | −1.09895 | + | 3.84608i | −0.103841 | + | 0.363420i | ||||
\(113\) | −0.177327 | + | 0.307140i | −0.0166816 | + | 0.0288933i | −0.874246 | − | 0.485484i | \(-0.838643\pi\) |
0.857564 | + | 0.514377i | \(0.171977\pi\) | |||||||
\(114\) | −1.46532 | − | 2.64842i | −0.137240 | − | 0.248047i | ||||
\(115\) | −21.7404 | + | 12.5518i | −2.02730 | + | 1.17046i | ||||
\(116\) | 15.9150 | − | 1.96169i | 1.47767 | − | 0.182138i | ||||
\(117\) | −13.4813 | + | 16.5787i | −1.24634 | + | 1.53270i | ||||
\(118\) | 6.17870 | + | 5.46387i | 0.568796 | + | 0.502990i | ||||
\(119\) | 2.89496 | + | 5.01421i | 0.265380 | + | 0.459652i | ||||
\(120\) | −14.1907 | − | 6.32351i | −1.29543 | − | 0.577255i | ||||
\(121\) | 0.564983 | − | 0.978580i | 0.0513621 | − | 0.0889618i | ||||
\(122\) | −7.52814 | + | 2.52084i | −0.681565 | + | 0.228226i | ||||
\(123\) | −0.107043 | − | 0.580860i | −0.00965175 | − | 0.0523744i | ||||
\(124\) | −3.71835 | + | 2.80471i | −0.333918 | + | 0.251870i | ||||
\(125\) | 0.180053i | 0.0161045i | ||||||||
\(126\) | −4.18571 | + | 0.692677i | −0.372893 | + | 0.0617086i | ||||
\(127\) | −11.6211 | −1.03120 | −0.515601 | − | 0.856829i | \(-0.672431\pi\) | ||||
−0.515601 | + | 0.856829i | \(0.672431\pi\) | |||||||
\(128\) | −1.88559 | − | 11.1555i | −0.166664 | − | 0.986014i | ||||
\(129\) | −1.48953 | + | 4.19269i | −0.131145 | + | 0.369146i | ||||
\(130\) | 10.1431 | + | 30.2909i | 0.889608 | + | 2.65669i | ||||
\(131\) | −15.0603 | − | 8.69508i | −1.31583 | − | 0.759692i | −0.332771 | − | 0.943008i | \(-0.607984\pi\) |
−0.983054 | + | 0.183315i | \(0.941317\pi\) | |||||||
\(132\) | 8.15578 | − | 8.89061i | 0.709869 | − | 0.773828i | ||||
\(133\) | −1.07012 | + | 0.617835i | −0.0927913 | + | 0.0535731i | ||||
\(134\) | 8.47157 | + | 7.49148i | 0.731832 | + | 0.647165i | ||||
\(135\) | −0.380924 | − | 16.4739i | −0.0327847 | − | 1.41784i | ||||
\(136\) | −13.5027 | − | 9.26618i | −1.15785 | − | 0.794569i | ||||
\(137\) | 1.80895 | + | 3.13320i | 0.154549 | + | 0.267687i | 0.932895 | − | 0.360149i | \(-0.117274\pi\) |
−0.778345 | + | 0.627836i | \(0.783941\pi\) | |||||||
\(138\) | 0.353649 | − | 19.3870i | 0.0301046 | − | 1.65033i | ||||
\(139\) | −3.04116 | − | 1.75581i | −0.257948 | − | 0.148926i | 0.365450 | − | 0.930831i | \(-0.380915\pi\) |
−0.623398 | + | 0.781905i | \(0.714248\pi\) | |||||||
\(140\) | −2.47547 | + | 5.83945i | −0.209216 | + | 0.493523i | ||||
\(141\) | 7.91480 | + | 2.81187i | 0.666546 | + | 0.236802i | ||||
\(142\) | 6.64994 | + | 1.35133i | 0.558051 | + | 0.113401i | ||||
\(143\) | −24.8071 | −2.07447 | ||||||||
\(144\) | 9.83742 | − | 6.87206i | 0.819785 | − | 0.572672i | ||||
\(145\) | 25.4262 | 2.11153 | ||||||||
\(146\) | 12.8184 | + | 2.60481i | 1.06086 | + | 0.215575i | ||||
\(147\) | 0.313903 | + | 1.70337i | 0.0258903 | + | 0.140491i | ||||
\(148\) | −0.829593 | + | 1.95694i | −0.0681921 | + | 0.160860i | ||||
\(149\) | 6.45180 | + | 3.72495i | 0.528552 | + | 0.305159i | 0.740426 | − | 0.672137i | \(-0.234624\pi\) |
−0.211875 | + | 0.977297i | \(0.567957\pi\) | |||||||
\(150\) | −10.6123 | − | 6.38788i | −0.866491 | − | 0.521568i | ||||
\(151\) | 0.677921 | + | 1.17419i | 0.0551685 | + | 0.0955546i | 0.892291 | − | 0.451461i | \(-0.149097\pi\) |
−0.837122 | + | 0.547016i | \(0.815764\pi\) | |||||||
\(152\) | 1.97757 | − | 2.88171i | 0.160402 | − | 0.233738i | ||||
\(153\) | 2.75223 | − | 17.1503i | 0.222505 | − | 1.38652i | ||||
\(154\) | −3.68970 | − | 3.26283i | −0.297324 | − | 0.262926i | ||||
\(155\) | −6.39565 | + | 3.69253i | −0.513711 | + | 0.296591i | ||||
\(156\) | −24.0860 | − | 5.35369i | −1.92842 | − | 0.428638i | ||||
\(157\) | 7.03486 | + | 4.06158i | 0.561443 | + | 0.324149i | 0.753724 | − | 0.657191i | \(-0.228255\pi\) |
−0.192282 | + | 0.981340i | \(0.561589\pi\) | |||||||
\(158\) | −0.105788 | − | 0.315921i | −0.00841604 | − | 0.0251333i | ||||
\(159\) | 3.34439 | + | 3.92388i | 0.265228 | + | 0.311184i | ||||
\(160\) | −0.803479 | − | 17.9213i | −0.0635206 | − | 1.41680i | ||||
\(161\) | −7.91603 | −0.623871 | ||||||||
\(162\) | 11.0536 | + | 6.31010i | 0.868455 | + | 0.495768i | ||||
\(163\) | 13.0772i | 1.02429i | 0.858900 | + | 0.512143i | \(0.171148\pi\) | ||||
−0.858900 | + | 0.512143i | \(0.828852\pi\) | |||||||
\(164\) | 0.544487 | − | 0.410701i | 0.0425173 | − | 0.0320703i | ||||
\(165\) | 14.5594 | − | 12.4092i | 1.13345 | − | 0.966057i | ||||
\(166\) | −13.5955 | + | 4.55254i | −1.05522 | + | 0.353345i | ||||
\(167\) | −2.25135 | + | 3.89945i | −0.174215 | + | 0.301749i | −0.939889 | − | 0.341480i | \(-0.889072\pi\) |
0.765675 | + | 0.643228i | \(0.222405\pi\) | |||||||
\(168\) | −2.87829 | − | 3.96427i | −0.222065 | − | 0.305850i | ||||
\(169\) | 18.8666 | + | 32.6779i | 1.45127 | + | 2.51368i | ||||
\(170\) | −19.4519 | − | 17.2015i | −1.49189 | − | 1.31929i | ||||
\(171\) | 3.66018 | + | 0.587374i | 0.279901 | + | 0.0449176i | ||||
\(172\) | −5.09916 | + | 0.628522i | −0.388807 | + | 0.0479243i | ||||
\(173\) | −12.7987 | + | 7.38932i | −0.973065 | + | 0.561799i | −0.900169 | − | 0.435540i | \(-0.856557\pi\) |
−0.0728957 | + | 0.997340i | \(0.523224\pi\) | |||||||
\(174\) | −10.1283 | + | 16.8263i | −0.767821 | + | 1.27560i | ||||
\(175\) | −2.52839 | + | 4.37930i | −0.191128 | + | 0.331044i | ||||
\(176\) | 13.3952 | + | 3.82743i | 1.00970 | + | 0.288503i | ||||
\(177\) | −9.93447 | + | 1.83076i | −0.746721 | + | 0.137609i | ||||
\(178\) | −4.03950 | − | 0.820861i | −0.302773 | − | 0.0615261i | ||||
\(179\) | 20.7869i | 1.55369i | 0.629695 | + | 0.776843i | \(0.283180\pi\) | ||||
−0.629695 | + | 0.776843i | \(0.716820\pi\) | |||||||
\(180\) | 16.8143 | − | 8.90642i | 1.25326 | − | 0.663845i | ||||
\(181\) | − | 9.54710i | − | 0.709631i | −0.934936 | − | 0.354815i | \(-0.884544\pi\) | ||
0.934936 | − | 0.354815i | \(-0.115456\pi\) | |||||||
\(182\) | −2.00593 | + | 9.87130i | −0.148690 | + | 0.731709i | ||||
\(183\) | 3.25503 | − | 9.16220i | 0.240619 | − | 0.677290i | ||||
\(184\) | 20.2020 | − | 9.65330i | 1.48931 | − | 0.711651i | ||||
\(185\) | −1.68514 | + | 2.91875i | −0.123894 | + | 0.214590i | ||||
\(186\) | 0.104038 | − | 5.70332i | 0.00762840 | − | 0.418188i | ||||
\(187\) | 17.4635 | − | 10.0826i | 1.27706 | − | 0.737311i | ||||
\(188\) | 1.18650 | + | 9.62599i | 0.0865343 | + | 0.702048i | ||||
\(189\) | 2.49336 | − | 4.55886i | 0.181365 | − | 0.331608i | ||||
\(190\) | 3.67110 | − | 4.15138i | 0.266330 | − | 0.301173i | ||||
\(191\) | −2.45074 | − | 4.24480i | −0.177329 | − | 0.307143i | 0.763636 | − | 0.645647i | \(-0.223412\pi\) |
−0.940965 | + | 0.338504i | \(0.890079\pi\) | |||||||
\(192\) | 12.1798 | + | 6.60702i | 0.879000 | + | 0.476821i | ||||
\(193\) | 2.74903 | − | 4.76146i | 0.197880 | − | 0.342737i | −0.749961 | − | 0.661482i | \(-0.769928\pi\) |
0.947841 | + | 0.318744i | \(0.103261\pi\) | |||||||
\(194\) | −2.08136 | − | 6.21569i | −0.149433 | − | 0.446260i | ||||
\(195\) | −36.8659 | − | 13.0973i | −2.64002 | − | 0.937914i | ||||
\(196\) | −1.59671 | + | 1.20438i | −0.114051 | + | 0.0860270i | ||||
\(197\) | − | 16.3525i | − | 1.16507i | −0.812807 | − | 0.582533i | \(-0.802062\pi\) | ||
0.812807 | − | 0.582533i | \(-0.197938\pi\) | |||||||
\(198\) | 2.41246 | + | 14.5780i | 0.171446 | + | 1.03602i | ||||
\(199\) | 9.98715 | 0.707970 | 0.353985 | − | 0.935251i | \(-0.384826\pi\) | ||||
0.353985 | + | 0.935251i | \(0.384826\pi\) | |||||||
\(200\) | 1.11216 | − | 14.2594i | 0.0786418 | − | 1.00829i | ||||
\(201\) | −13.6211 | + | 2.51014i | −0.960757 | + | 0.177052i | ||||
\(202\) | 17.5296 | − | 5.86989i | 1.23338 | − | 0.413004i | ||||
\(203\) | 6.94356 | + | 4.00887i | 0.487343 | + | 0.281367i | ||||
\(204\) | 19.1319 | − | 6.02065i | 1.33950 | − | 0.421530i | ||||
\(205\) | 0.936532 | − | 0.540707i | 0.0654102 | − | 0.0377646i | ||||
\(206\) | 14.1865 | − | 16.0425i | 0.988422 | − | 1.11774i | ||||
\(207\) | 18.4252 | + | 14.9828i | 1.28064 | + | 1.04138i | ||||
\(208\) | −6.91845 | − | 27.6381i | −0.479708 | − | 1.91636i | ||||
\(209\) | 2.15180 | + | 3.72703i | 0.148843 | + | 0.257804i | ||||
\(210\) | −3.76062 | − | 6.79694i | −0.259508 | − | 0.469033i | ||||
\(211\) | 10.0796 | + | 5.81945i | 0.693907 | + | 0.400627i | 0.805074 | − | 0.593174i | \(-0.202126\pi\) |
−0.111167 | + | 0.993802i | \(0.535459\pi\) | |||||||
\(212\) | −2.32359 | + | 5.48118i | −0.159585 | + | 0.376449i | ||||
\(213\) | −6.32519 | + | 5.39107i | −0.433395 | + | 0.369390i | ||||
\(214\) | 2.42166 | − | 11.9171i | 0.165541 | − | 0.814638i | ||||
\(215\) | −8.14652 | −0.555588 | ||||||||
\(216\) | −0.803795 | + | 14.6749i | −0.0546913 | + | 0.998503i | ||||
\(217\) | −2.32876 | −0.158087 | ||||||||
\(218\) | −5.06122 | + | 24.9065i | −0.342789 | + | 1.68688i | ||||
\(219\) | −12.1924 | + | 10.3918i | −0.823887 | + | 0.702213i | ||||
\(220\) | 20.3377 | + | 8.62160i | 1.37117 | + | 0.581268i | ||||
\(221\) | −35.7148 | − | 20.6200i | −2.40244 | − | 1.38705i | ||||
\(222\) | −1.26028 | − | 2.27782i | −0.0845843 | − | 0.152878i | ||||
\(223\) | −10.4817 | − | 18.1548i | −0.701904 | − | 1.21573i | −0.967797 | − | 0.251731i | \(-0.919000\pi\) |
0.265893 | − | 0.964003i | \(-0.414333\pi\) | |||||||
\(224\) | 2.60617 | − | 5.02075i | 0.174132 | − | 0.335463i | ||||
\(225\) | 14.1738 | − | 5.40765i | 0.944919 | − | 0.360510i | ||||
\(226\) | 0.332254 | − | 0.375722i | 0.0221012 | − | 0.0249927i | ||||
\(227\) | −1.01782 | + | 0.587641i | −0.0675554 | + | 0.0390031i | −0.533397 | − | 0.845865i | \(-0.679085\pi\) |
0.465842 | + | 0.884868i | \(0.345752\pi\) | |||||||
\(228\) | 1.28491 | + | 4.08308i | 0.0850954 | + | 0.270409i | ||||
\(229\) | 11.1077 | + | 6.41302i | 0.734016 | + | 0.423784i | 0.819890 | − | 0.572522i | \(-0.194035\pi\) |
−0.0858737 | + | 0.996306i | \(0.527368\pi\) | |||||||
\(230\) | 33.6647 | − | 11.2728i | 2.21978 | − | 0.743307i | ||||
\(231\) | 5.93251 | − | 1.09327i | 0.390330 | − | 0.0719316i | ||||
\(232\) | −22.6089 | − | 1.76338i | −1.48435 | − | 0.115772i | ||||
\(233\) | 4.19252 | 0.274661 | 0.137331 | − | 0.990525i | \(-0.456148\pi\) | ||||
0.137331 | + | 0.990525i | \(0.456148\pi\) | |||||||
\(234\) | 23.3525 | − | 19.1796i | 1.52660 | − | 1.25381i | ||||
\(235\) | 15.3787i | 1.00320i | ||||||||
\(236\) | −7.02423 | − | 9.31240i | −0.457239 | − | 0.606185i | ||||
\(237\) | 0.384495 | + | 0.136599i | 0.0249757 | + | 0.00887303i | ||||
\(238\) | −2.59996 | − | 7.76443i | −0.168531 | − | 0.503293i | ||||
\(239\) | 1.18170 | − | 2.04677i | 0.0764379 | − | 0.132394i | −0.825273 | − | 0.564734i | \(-0.808979\pi\) |
0.901711 | + | 0.432340i | \(0.142312\pi\) | |||||||
\(240\) | 17.8859 | + | 12.7601i | 1.15453 | + | 0.823663i | ||||
\(241\) | −2.18309 | − | 3.78122i | −0.140625 | − | 0.243570i | 0.787107 | − | 0.616816i | \(-0.211578\pi\) |
−0.927732 | + | 0.373246i | \(0.878245\pi\) | |||||||
\(242\) | −1.05860 | + | 1.19709i | −0.0680491 | + | 0.0769518i | ||||
\(243\) | −14.4321 | + | 5.89189i | −0.925820 | + | 0.377965i | ||||
\(244\) | 11.1431 | − | 1.37350i | 0.713363 | − | 0.0879291i | ||||
\(245\) | −2.74638 | + | 1.58562i | −0.175460 | + | 0.101302i | ||||
\(246\) | −0.0152345 | + | 0.835153i | −0.000971315 | + | 0.0532474i | ||||
\(247\) | 4.40066 | − | 7.62217i | 0.280008 | − | 0.484987i | ||||
\(248\) | 5.94309 | − | 2.83983i | 0.377387 | − | 0.180330i | ||||
\(249\) | 5.87846 | − | 16.5466i | 0.372532 | − | 1.04860i | ||||
\(250\) | 0.0507074 | − | 0.249534i | 0.00320702 | − | 0.0157819i | ||||
\(251\) | − | 16.6989i | − | 1.05402i | −0.849858 | − | 0.527012i | \(-0.823312\pi\) | ||
0.849858 | − | 0.527012i | \(-0.176688\pi\) | |||||||
\(252\) | 5.99601 | + | 0.218826i | 0.377713 | + | 0.0137847i | ||||
\(253\) | 27.5700i | 1.73331i | ||||||||
\(254\) | 16.1055 | + | 3.27277i | 1.01055 | + | 0.205352i | ||||
\(255\) | 31.2759 | − | 5.76365i | 1.95857 | − | 0.360933i | ||||
\(256\) | −0.528441 | + | 15.9913i | −0.0330276 | + | 0.999454i | ||||
\(257\) | 5.04875 | − | 8.74470i | 0.314933 | − | 0.545479i | −0.664491 | − | 0.747297i | \(-0.731351\pi\) |
0.979423 | + | 0.201817i | \(0.0646847\pi\) | |||||||
\(258\) | 3.24508 | − | 5.39112i | 0.202030 | − | 0.335636i | ||||
\(259\) | −0.920379 | + | 0.531381i | −0.0571896 | + | 0.0330184i | ||||
\(260\) | −5.52653 | − | 44.8364i | −0.342741 | − | 2.78064i | ||||
\(261\) | −8.57406 | − | 22.4732i | −0.530721 | − | 1.39105i | ||||
\(262\) | 18.4232 | + | 16.2918i | 1.13819 | + | 1.00651i | ||||
\(263\) | 14.7794 | + | 25.5987i | 0.911337 | + | 1.57848i | 0.812178 | + | 0.583410i | \(0.198282\pi\) |
0.0991587 | + | 0.995072i | \(0.468385\pi\) | |||||||
\(264\) | −13.8068 | + | 10.0245i | −0.849750 | + | 0.616967i | ||||
\(265\) | −4.71988 | + | 8.17507i | −0.289940 | + | 0.502191i | ||||
\(266\) | 1.65707 | − | 0.554878i | 0.101601 | − | 0.0340218i | ||||
\(267\) | 3.84223 | − | 3.27480i | 0.235141 | − | 0.200415i | ||||
\(268\) | −9.63087 | − | 12.7682i | −0.588299 | − | 0.779939i | ||||
\(269\) | 14.9064i | 0.908859i | 0.890783 | + | 0.454429i | \(0.150157\pi\) | ||||
−0.890783 | + | 0.454429i | \(0.849843\pi\) | |||||||
\(270\) | −4.11152 | + | 22.9382i | −0.250219 | + | 1.39597i | ||||
\(271\) | −11.2654 | −0.684324 | −0.342162 | − | 0.939641i | \(-0.611159\pi\) | ||||
−0.342162 | + | 0.939641i | \(0.611159\pi\) | |||||||
\(272\) | 16.1036 | + | 16.6446i | 0.976427 | + | 1.00923i | ||||
\(273\) | −8.00261 | − | 9.38923i | −0.484340 | − | 0.568262i | ||||
\(274\) | −1.62462 | − | 4.85171i | −0.0981471 | − | 0.293103i | ||||
\(275\) | 15.2523 | + | 8.80590i | 0.919746 | + | 0.531016i | ||||
\(276\) | −5.94998 | + | 26.7687i | −0.358146 | + | 1.61128i | ||||
\(277\) | −19.7137 | + | 11.3817i | −1.18448 | + | 0.683862i | −0.957047 | − | 0.289931i | \(-0.906368\pi\) |
−0.227436 | + | 0.973793i | \(0.573034\pi\) | |||||||
\(278\) | 3.72022 | + | 3.28982i | 0.223124 | + | 0.197311i | ||||
\(279\) | 5.42038 | + | 4.40768i | 0.324509 | + | 0.263881i | ||||
\(280\) | 5.07526 | − | 7.39567i | 0.303305 | − | 0.441976i | ||||
\(281\) | −5.22469 | − | 9.04942i | −0.311679 | − | 0.539843i | 0.667047 | − | 0.745015i | \(-0.267558\pi\) |
−0.978726 | + | 0.205172i | \(0.934225\pi\) | |||||||
\(282\) | −10.1771 | − | 6.12594i | −0.606040 | − | 0.364794i | ||||
\(283\) | −17.6479 | − | 10.1890i | −1.04906 | − | 0.605674i | −0.126672 | − | 0.991945i | \(-0.540430\pi\) |
−0.922385 | + | 0.386271i | \(0.873763\pi\) | |||||||
\(284\) | −8.83552 | − | 3.74557i | −0.524292 | − | 0.222259i | ||||
\(285\) | 1.23006 | + | 6.67483i | 0.0728627 | + | 0.395383i | ||||
\(286\) | 34.3799 | + | 6.98628i | 2.03292 | + | 0.413107i | ||||
\(287\) | 0.341006 | 0.0201290 | ||||||||
\(288\) | −15.5689 | + | 6.75345i | −0.917407 | + | 0.397951i | ||||
\(289\) | 16.5231 | 0.971946 | ||||||||
\(290\) | −35.2379 | − | 7.16063i | −2.06924 | − | 0.420487i | ||||
\(291\) | 7.56487 | + | 2.68755i | 0.443461 | + | 0.157547i | ||||
\(292\) | −17.0313 | − | 7.21995i | −0.996681 | − | 0.422515i | ||||
\(293\) | −17.4466 | − | 10.0728i | −1.01924 | − | 0.588460i | −0.105358 | − | 0.994434i | \(-0.533599\pi\) |
−0.913885 | + | 0.405974i | \(0.866932\pi\) | |||||||
\(294\) | 0.0446751 | − | 2.44908i | 0.00260550 | − | 0.142833i | ||||
\(295\) | −9.24774 | − | 16.0176i | −0.538424 | − | 0.932578i | ||||
\(296\) | 1.70085 | − | 2.47847i | 0.0988597 | − | 0.144058i | ||||
\(297\) | −15.8776 | − | 8.68389i | −0.921314 | − | 0.503890i | ||||
\(298\) | −7.89244 | − | 6.97934i | −0.457196 | − | 0.404302i | ||||
\(299\) | 48.8297 | − | 28.1918i | 2.82390 | − | 1.63038i | ||||
\(300\) | 12.9085 | + | 11.8416i | 0.745272 | + | 0.683673i | ||||
\(301\) | −2.22471 | − | 1.28444i | −0.128230 | − | 0.0740337i | ||||
\(302\) | −0.608842 | − | 1.81822i | −0.0350349 | − | 0.104627i | ||||
\(303\) | −7.57949 | + | 21.3346i | −0.435430 | + | 1.22564i | ||||
\(304\) | −3.55225 | + | 3.43680i | −0.203735 | + | 0.197114i | ||||
\(305\) | 17.8024 | 1.01936 | ||||||||
\(306\) | −8.64423 | + | 22.9933i | −0.494158 | + | 1.31444i | ||||
\(307\) | − | 1.80261i | − | 0.102880i | −0.998676 | − | 0.0514401i | \(-0.983619\pi\) | ||
0.998676 | − | 0.0514401i | \(-0.0163811\pi\) | |||||||
\(308\) | 4.19462 | + | 5.56103i | 0.239011 | + | 0.316869i | ||||
\(309\) | 4.75343 | + | 25.7941i | 0.270413 | + | 1.46737i | ||||
\(310\) | 9.90357 | − | 3.31627i | 0.562485 | − | 0.188351i | ||||
\(311\) | 3.94517 | − | 6.83323i | 0.223710 | − | 0.387477i | −0.732222 | − | 0.681066i | \(-0.761516\pi\) |
0.955932 | + | 0.293589i | \(0.0948498\pi\) | |||||||
\(312\) | 31.8728 | + | 14.2028i | 1.80444 | + | 0.804077i | ||||
\(313\) | −11.0478 | − | 19.1353i | −0.624456 | − | 1.08159i | −0.988646 | − | 0.150265i | \(-0.951987\pi\) |
0.364190 | − | 0.931325i | \(-0.381346\pi\) | |||||||
\(314\) | −8.60569 | − | 7.61008i | −0.485647 | − | 0.429462i | ||||
\(315\) | 9.39354 | + | 1.50745i | 0.529266 | + | 0.0849350i | ||||
\(316\) | 0.0576393 | + | 0.467624i | 0.00324246 | + | 0.0263059i | ||||
\(317\) | 26.9005 | − | 15.5310i | 1.51088 | − | 0.872307i | 0.510961 | − | 0.859604i | \(-0.329290\pi\) |
0.999919 | − | 0.0127032i | \(-0.00404365\pi\) | |||||||
\(318\) | −3.52990 | − | 6.37993i | −0.197947 | − | 0.357769i | ||||
\(319\) | 13.9621 | − | 24.1831i | 0.781729 | − | 1.35399i | ||||
\(320\) | −3.93353 | + | 25.0631i | −0.219891 | + | 1.40107i | ||||
\(321\) | 9.66115 | + | 11.3352i | 0.539233 | + | 0.632667i | ||||
\(322\) | 10.9707 | + | 2.22935i | 0.611376 | + | 0.124237i | ||||
\(323\) | 7.15442i | 0.398082i | ||||||||
\(324\) | −13.5420 | − | 11.8581i | −0.752334 | − | 0.658782i | ||||
\(325\) | − | 36.0180i | − | 1.99792i | ||||||
\(326\) | 3.68286 | − | 18.1236i | 0.203975 | − | 1.00377i | ||||
\(327\) | −20.1916 | − | 23.6902i | −1.11660 | − | 1.31007i | ||||
\(328\) | −0.870262 | + | 0.415844i | −0.0480522 | + | 0.0229612i | ||||
\(329\) | −2.42471 | + | 4.19972i | −0.133679 | + | 0.231538i | ||||
\(330\) | −23.6724 | + | 13.0975i | −1.30313 | + | 0.720995i | ||||
\(331\) | −8.04996 | + | 4.64764i | −0.442466 | + | 0.255458i | −0.704643 | − | 0.709562i | \(-0.748893\pi\) |
0.262177 | + | 0.965020i | \(0.415559\pi\) | |||||||
\(332\) | 20.1240 | − | 2.48048i | 1.10445 | − | 0.136134i | ||||
\(333\) | 3.14801 | + | 0.505183i | 0.172510 | + | 0.0276839i | ||||
\(334\) | 4.21830 | − | 4.77017i | 0.230815 | − | 0.261012i | ||||
\(335\) | −12.6795 | − | 21.9615i | −0.692755 | − | 1.19989i | ||||
\(336\) | 2.87255 | + | 6.30464i | 0.156710 | + | 0.343946i | ||||
\(337\) | −1.25420 | + | 2.17233i | −0.0683204 | + | 0.118334i | −0.898162 | − | 0.439665i | \(-0.855097\pi\) |
0.829842 | + | 0.557999i | \(0.188431\pi\) | |||||||
\(338\) | −16.9441 | − | 50.6012i | −0.921637 | − | 2.75234i | ||||
\(339\) | 0.111327 | + | 0.604108i | 0.00604647 | + | 0.0328106i | ||||
\(340\) | 22.1138 | + | 29.3175i | 1.19929 | + | 1.58996i | ||||
\(341\) | 8.11063i | 0.439215i | ||||||||
\(342\) | −4.90718 | − | 1.84483i | −0.265350 | − | 0.0997570i | ||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | 7.24387 | + | 0.564986i | 0.390563 | + | 0.0304620i | ||||
\(345\) | −14.5560 | + | 40.9720i | −0.783669 | + | 2.20586i | ||||
\(346\) | 19.8185 | − | 6.63635i | 1.06545 | − | 0.356773i | ||||
\(347\) | 14.2952 | + | 8.25336i | 0.767408 | + | 0.443063i | 0.831949 | − | 0.554852i | \(-0.187225\pi\) |
−0.0645410 | + | 0.997915i | \(0.520558\pi\) | |||||||
\(348\) | 18.7753 | − | 20.4670i | 1.00646 | − | 1.09714i | ||||
\(349\) | −14.2736 | + | 8.24085i | −0.764047 | + | 0.441123i | −0.830747 | − | 0.556650i | \(-0.812086\pi\) |
0.0666998 | + | 0.997773i | \(0.478753\pi\) | |||||||
\(350\) | 4.73738 | − | 5.35716i | 0.253224 | − | 0.286352i | ||||
\(351\) | 0.855569 | + | 37.0008i | 0.0456669 | + | 1.97496i | ||||
\(352\) | −17.4863 | − | 9.07679i | −0.932023 | − | 0.483795i | ||||
\(353\) | −11.4198 | − | 19.7797i | −0.607814 | − | 1.05276i | −0.991600 | − | 0.129343i | \(-0.958713\pi\) |
0.383786 | − | 0.923422i | \(-0.374620\pi\) | |||||||
\(354\) | 14.2837 | + | 0.260556i | 0.759168 | + | 0.0138484i | ||||
\(355\) | −13.1780 | − | 7.60833i | −0.699416 | − | 0.403808i | ||||
\(356\) | 5.36712 | + | 2.27524i | 0.284457 | + | 0.120588i | ||||
\(357\) | 9.44979 | + | 3.35720i | 0.500136 | + | 0.177682i | ||||
\(358\) | 5.85410 | − | 28.8083i | 0.309399 | − | 1.52257i | ||||
\(359\) | 14.8943 | 0.786089 | 0.393044 | − | 0.919519i | \(-0.371422\pi\) | ||||
0.393044 | + | 0.919519i | \(0.371422\pi\) | |||||||
\(360\) | −25.8110 | + | 7.60800i | −1.36036 | + | 0.400977i | ||||
\(361\) | 17.4731 | 0.919638 | ||||||||
\(362\) | −2.68870 | + | 13.2312i | −0.141315 | + | 0.695418i | ||||
\(363\) | −0.354700 | − | 1.92475i | −0.0186169 | − | 0.101023i | ||||
\(364\) | 5.56000 | − | 13.1156i | 0.291423 | − | 0.687444i | ||||
\(365\) | −25.4019 | − | 14.6658i | −1.32959 | − | 0.767641i | ||||
\(366\) | −7.09141 | + | 11.7811i | −0.370674 | + | 0.615808i | ||||
\(367\) | −3.79574 | − | 6.57441i | −0.198136 | − | 0.343182i | 0.749788 | − | 0.661678i | \(-0.230155\pi\) |
−0.947924 | + | 0.318496i | \(0.896822\pi\) | |||||||
\(368\) | −30.7164 | + | 7.68902i | −1.60120 | + | 0.400818i | ||||
\(369\) | −0.793720 | − | 0.645428i | −0.0413194 | − | 0.0335996i | ||||
\(370\) | 3.15740 | − | 3.57048i | 0.164146 | − | 0.185620i | ||||
\(371\) | −2.57788 | + | 1.48834i | −0.133837 | + | 0.0772707i | ||||
\(372\) | −1.75038 | + | 7.87487i | −0.0907530 | + | 0.408293i | ||||
\(373\) | 3.87691 | + | 2.23834i | 0.200739 | + | 0.115897i | 0.597000 | − | 0.802241i | \(-0.296359\pi\) |
−0.396261 | + | 0.918138i | \(0.629693\pi\) | |||||||
\(374\) | −27.0420 | + | 9.05518i | −1.39831 | + | 0.468232i | ||||
\(375\) | 0.202296 | + | 0.237348i | 0.0104465 | + | 0.0122566i | ||||
\(376\) | 1.06656 | − | 13.6747i | 0.0550036 | − | 0.705219i | ||||
\(377\) | −57.1081 | −2.94122 | ||||||||
\(378\) | −4.73940 | + | 5.61588i | −0.243768 | + | 0.288850i | ||||
\(379\) | 7.08778i | 0.364075i | 0.983292 | + | 0.182037i | \(0.0582692\pi\) | ||||
−0.983292 | + | 0.182037i | \(0.941731\pi\) | |||||||
\(380\) | −6.25687 | + | 4.71948i | −0.320971 | + | 0.242104i | ||||
\(381\) | −15.3190 | + | 13.0566i | −0.784815 | + | 0.668911i | ||||
\(382\) | 2.20101 | + | 6.57301i | 0.112613 | + | 0.336305i | ||||
\(383\) | −13.6263 | + | 23.6014i | −0.696270 | + | 1.20597i | 0.273481 | + | 0.961877i | \(0.411825\pi\) |
−0.969751 | + | 0.244097i | \(0.921508\pi\) | |||||||
\(384\) | −15.0191 | − | 12.5867i | −0.766442 | − | 0.642314i | ||||
\(385\) | 5.52242 | + | 9.56511i | 0.281448 | + | 0.487483i | ||||
\(386\) | −5.15079 | + | 5.82466i | −0.262169 | + | 0.296467i | ||||
\(387\) | 2.74712 | + | 7.20037i | 0.139644 | + | 0.366016i | ||||
\(388\) | 1.13404 | + | 9.20041i | 0.0575722 | + | 0.467080i | ||||
\(389\) | 2.39842 | − | 1.38473i | 0.121605 | − | 0.0702085i | −0.437964 | − | 0.898993i | \(-0.644300\pi\) |
0.559568 | + | 0.828784i | \(0.310967\pi\) | |||||||
\(390\) | 47.4036 | + | 28.5337i | 2.40037 | + | 1.44486i | ||||
\(391\) | −22.9166 | + | 39.6927i | −1.15894 | + | 2.00734i | ||||
\(392\) | 2.55204 | − | 1.21946i | 0.128898 | − | 0.0615921i | ||||
\(393\) | −29.6218 | + | 5.45883i | −1.49422 | + | 0.275361i | ||||
\(394\) | −4.60526 | + | 22.6627i | −0.232010 | + | 1.14173i | ||||
\(395\) | 0.747086i | 0.0375900i | ||||||||
\(396\) | 0.762129 | − | 20.8830i | 0.0382984 | − | 1.04941i | ||||
\(397\) | − | 1.76707i | − | 0.0886867i | −0.999016 | − | 0.0443433i | \(-0.985880\pi\) | ||
0.999016 | − | 0.0443433i | \(-0.0141196\pi\) | |||||||
\(398\) | −13.8411 | − | 2.81262i | −0.693790 | − | 0.140984i | ||||
\(399\) | −0.716486 | + | 2.01675i | −0.0358691 | + | 0.100964i | ||||
\(400\) | −5.55714 | + | 19.4488i | −0.277857 | + | 0.972438i | ||||
\(401\) | −4.96674 | + | 8.60264i | −0.248027 | + | 0.429595i | −0.962978 | − | 0.269579i | \(-0.913116\pi\) |
0.714951 | + | 0.699174i | \(0.246449\pi\) | |||||||
\(402\) | 19.5842 | + | 0.357247i | 0.976772 | + | 0.0178178i | ||||
\(403\) | 14.3649 | − | 8.29355i | 0.715564 | − | 0.413131i | ||||
\(404\) | −25.9472 | + | 3.19825i | −1.29092 | + | 0.159119i | ||||
\(405\) | −19.0110 | − | 21.2880i | −0.944667 | − | 1.05781i | ||||
\(406\) | −8.49401 | − | 7.51132i | −0.421551 | − | 0.372781i | ||||
\(407\) | 1.85070 | + | 3.20551i | 0.0917358 | + | 0.158891i | ||||
\(408\) | −28.2102 | + | 2.95594i | −1.39661 | + | 0.146341i | ||||
\(409\) | −13.3854 | + | 23.1841i | −0.661864 | + | 1.14638i | 0.318262 | + | 0.948003i | \(0.396901\pi\) |
−0.980125 | + | 0.198379i | \(0.936432\pi\) | |||||||
\(410\) | −1.45021 | + | 0.485610i | −0.0716205 | + | 0.0239825i | ||||
\(411\) | 5.90483 | + | 2.09779i | 0.291264 | + | 0.103477i | ||||
\(412\) | −24.1789 | + | 18.2379i | −1.19121 | + | 0.898516i | ||||
\(413\) | − | 5.83225i | − | 0.286986i | ||||||
\(414\) | −21.3158 | − | 25.9535i | −1.04761 | − | 1.27554i | ||||
\(415\) | 32.1505 | 1.57821 | ||||||||
\(416\) | 1.80464 | + | 40.2518i | 0.0884799 | + | 1.97350i | ||||
\(417\) | −5.98159 | + | 1.10231i | −0.292920 | + | 0.0539804i | ||||
\(418\) | −1.93253 | − | 5.77125i | −0.0945234 | − | 0.282281i | ||||
\(419\) | −10.8419 | − | 6.25958i | −0.529662 | − | 0.305800i | 0.211217 | − | 0.977439i | \(-0.432257\pi\) |
−0.740879 | + | 0.671639i | \(0.765591\pi\) | |||||||
\(420\) | 3.29762 | + | 10.4789i | 0.160907 | + | 0.511317i | ||||
\(421\) | 0.524677 | − | 0.302922i | 0.0255712 | − | 0.0147635i | −0.487160 | − | 0.873313i | \(-0.661967\pi\) |
0.512731 | + | 0.858549i | \(0.328634\pi\) | |||||||
\(422\) | −12.3303 | − | 10.9038i | −0.600229 | − | 0.530787i | ||||
\(423\) | 13.5926 | − | 5.18590i | 0.660894 | − | 0.252147i | ||||
\(424\) | 4.76388 | − | 6.94192i | 0.231354 | − | 0.337130i | ||||
\(425\) | 14.6391 | + | 25.3557i | 0.710103 | + | 1.22993i | ||||
\(426\) | 10.2843 | − | 5.69010i | 0.498275 | − | 0.275686i | ||||
\(427\) | 4.86161 | + | 2.80685i | 0.235270 | + | 0.135833i | ||||
\(428\) | −6.71231 | + | 15.8338i | −0.324452 | + | 0.765356i | ||||
\(429\) | −32.7009 | + | 27.8716i | −1.57882 | + | 1.34565i | ||||
\(430\) | 11.2902 | + | 2.29426i | 0.544461 | + | 0.110639i | ||||
\(431\) | 11.4034 | 0.549285 | 0.274642 | − | 0.961546i | \(-0.411441\pi\) | ||||
0.274642 | + | 0.961546i | \(0.411441\pi\) | |||||||
\(432\) | 5.24679 | − | 20.1115i | 0.252436 | − | 0.967614i | ||||
\(433\) | 9.08671 | 0.436680 | 0.218340 | − | 0.975873i | \(-0.429936\pi\) | ||||
0.218340 | + | 0.975873i | \(0.429936\pi\) | |||||||
\(434\) | 3.22740 | + | 0.655836i | 0.154920 | + | 0.0314811i | ||||
\(435\) | 33.5170 | − | 28.5671i | 1.60702 | − | 1.36969i | ||||
\(436\) | 14.0286 | − | 33.0923i | 0.671847 | − | 1.58483i | ||||
\(437\) | −8.47111 | − | 4.89080i | −0.405228 | − | 0.233959i | ||||
\(438\) | 19.8239 | − | 10.9682i | 0.947223 | − | 0.524081i | ||||
\(439\) | −12.4362 | − | 21.5401i | −0.593545 | − | 1.02805i | −0.993750 | − | 0.111625i | \(-0.964394\pi\) |
0.400205 | − | 0.916426i | \(-0.368939\pi\) | |||||||
\(440\) | −25.7577 | − | 17.6762i | −1.22795 | − | 0.842678i | ||||
\(441\) | 2.32758 | + | 1.89272i | 0.110837 | + | 0.0901293i | ||||
\(442\) | 43.6897 | + | 38.6351i | 2.07811 | + | 1.83769i | ||||
\(443\) | 29.6382 | − | 17.1116i | 1.40815 | − | 0.812997i | 0.412942 | − | 0.910757i | \(-0.364501\pi\) |
0.995210 | + | 0.0977603i | \(0.0311679\pi\) | |||||||
\(444\) | 1.10511 | + | 3.51174i | 0.0524464 | + | 0.166660i | ||||
\(445\) | 8.00496 | + | 4.62167i | 0.379472 | + | 0.219088i | ||||
\(446\) | 9.41359 | + | 28.1124i | 0.445747 | + | 1.33116i | ||||
\(447\) | 12.6899 | − | 2.33855i | 0.600212 | − | 0.110609i | ||||
\(448\) | −5.02582 | + | 6.22423i | −0.237448 | + | 0.294067i | ||||
\(449\) | −0.0273929 | −0.00129275 | −0.000646375 | − | 1.00000i | \(-0.500206\pi\) | ||||
−0.000646375 | 1.00000i | \(0.500206\pi\) | ||||||||
\(450\) | −21.1662 | + | 3.50271i | −0.997785 | + | 0.165119i | ||||
\(451\) | − | 1.18766i | − | 0.0559248i | ||||||
\(452\) | −0.566280 | + | 0.427138i | −0.0266356 | + | 0.0200909i | ||||
\(453\) | 2.21289 | + | 0.786167i | 0.103971 | + | 0.0369373i | ||||
\(454\) | 1.57609 | − | 0.527761i | 0.0739693 | − | 0.0247691i | ||||
\(455\) | 11.2939 | − | 19.5617i | 0.529468 | − | 0.917065i | ||||
\(456\) | −0.630851 | − | 6.02056i | −0.0295423 | − | 0.281938i | ||||
\(457\) | −9.23823 | − | 16.0011i | −0.432146 | − | 0.748499i | 0.564912 | − | 0.825151i | \(-0.308910\pi\) |
−0.997058 | + | 0.0766522i | \(0.975577\pi\) | |||||||
\(458\) | −13.5879 | − | 12.0159i | −0.634923 | − | 0.561467i | ||||
\(459\) | −15.6409 | − | 25.6999i | −0.730055 | − | 1.19957i | ||||
\(460\) | −49.8302 | + | 6.14207i | −2.32335 | + | 0.286375i | ||||
\(461\) | 13.7709 | − | 7.95065i | 0.641376 | − | 0.370299i | −0.143768 | − | 0.989611i | \(-0.545922\pi\) |
0.785145 | + | 0.619313i | \(0.212589\pi\) | |||||||
\(462\) | −8.52969 | − | 0.155595i | −0.396837 | − | 0.00723892i | ||||
\(463\) | 14.0391 | − | 24.3164i | 0.652450 | − | 1.13008i | −0.330076 | − | 0.943954i | \(-0.607075\pi\) |
0.982527 | − | 0.186123i | \(-0.0595922\pi\) | |||||||
\(464\) | 30.8368 | + | 8.81108i | 1.43156 | + | 0.409044i | ||||
\(465\) | −4.28213 | + | 12.0532i | −0.198579 | + | 0.558956i | ||||
\(466\) | −5.81037 | − | 1.18072i | −0.269160 | − | 0.0546956i | ||||
\(467\) | 28.0375i | 1.29742i | 0.761035 | + | 0.648711i | \(0.224691\pi\) | ||||
−0.761035 | + | 0.648711i | \(0.775309\pi\) | |||||||
\(468\) | −37.7654 | + | 20.0041i | −1.74571 | + | 0.924691i | ||||
\(469\) | − | 7.99656i | − | 0.369247i | ||||||
\(470\) | 4.33101 | − | 21.3132i | 0.199775 | − | 0.983102i | ||||
\(471\) | 13.8367 | − | 2.54988i | 0.637563 | − | 0.117492i | ||||
\(472\) | 7.11221 | + | 14.8841i | 0.327366 | + | 0.685098i | ||||
\(473\) | −4.47345 | + | 7.74824i | −0.205689 | + | 0.356265i | ||||
\(474\) | −0.494398 | − | 0.297594i | −0.0227085 | − | 0.0136689i | ||||
\(475\) | −5.41136 | + | 3.12425i | −0.248290 | + | 0.143351i | ||||
\(476\) | 1.41661 | + | 11.4928i | 0.0649301 | + | 0.526774i | ||||
\(477\) | 8.81722 | + | 1.41496i | 0.403713 | + | 0.0647866i | ||||
\(478\) | −2.21413 | + | 2.50380i | −0.101272 | + | 0.114521i | ||||
\(479\) | 0.426833 | + | 0.739297i | 0.0195025 | + | 0.0337794i | 0.875612 | − | 0.483015i | \(-0.160458\pi\) |
−0.856109 | + | 0.516795i | \(0.827125\pi\) | |||||||
\(480\) | −21.1943 | − | 22.7212i | −0.967381 | − | 1.03708i | ||||
\(481\) | 3.78488 | − | 6.55560i | 0.172576 | − | 0.298910i | ||||
\(482\) | 1.96064 | + | 5.85517i | 0.0893045 | + | 0.266696i | ||||
\(483\) | −10.4350 | + | 8.89392i | −0.474808 | + | 0.404687i | ||||
\(484\) | 1.80423 | − | 1.36091i | 0.0820103 | − | 0.0618594i | ||||
\(485\) | 14.6988i | 0.667437i | ||||||||
\(486\) | 21.6606 | − | 4.10107i | 0.982544 | − | 0.186028i | ||||
\(487\) | −11.0383 | −0.500191 | −0.250096 | − | 0.968221i | \(-0.580462\pi\) | ||||
−0.250096 | + | 0.968221i | \(0.580462\pi\) | |||||||
\(488\) | −15.8299 | − | 1.23465i | −0.716586 | − | 0.0558901i | ||||
\(489\) | 14.6927 | + | 17.2385i | 0.664426 | + | 0.779552i | ||||
\(490\) | 4.25272 | − | 1.42405i | 0.192118 | − | 0.0643319i | ||||
\(491\) | 15.0542 | + | 8.69155i | 0.679386 | + | 0.392244i | 0.799624 | − | 0.600501i | \(-0.205032\pi\) |
−0.120237 | + | 0.992745i | \(0.538366\pi\) | |||||||
\(492\) | 0.256313 | − | 1.15314i | 0.0115555 | − | 0.0519875i | ||||
\(493\) | 40.2026 | − | 23.2110i | 1.81064 | − | 1.04537i | ||||
\(494\) | −8.24542 | + | 9.32415i | −0.370979 | + | 0.419513i | ||||
\(495\) | 5.25015 | − | 32.7159i | 0.235977 | − | 1.47047i | ||||
\(496\) | −9.03623 | + | 2.26198i | −0.405739 | + | 0.101566i | ||||
\(497\) | −2.39916 | − | 4.15547i | −0.107617 | − | 0.186398i | ||||
\(498\) | −12.8068 | + | 21.2762i | −0.573887 | + | 0.953410i | ||||
\(499\) | 29.3496 | + | 16.9450i | 1.31387 | + | 0.758562i | 0.982735 | − | 0.185021i | \(-0.0592354\pi\) |
0.331134 | + | 0.943584i | \(0.392569\pi\) | |||||||
\(500\) | −0.140550 | + | 0.331546i | −0.00628558 | + | 0.0148272i | ||||
\(501\) | 1.41341 | + | 7.66975i | 0.0631466 | + | 0.342659i | ||||
\(502\) | −4.70281 | + | 23.1428i | −0.209897 | + | 1.03291i | ||||
\(503\) | 20.2562 | 0.903178 | 0.451589 | − | 0.892226i | \(-0.350857\pi\) | ||||
0.451589 | + | 0.892226i | \(0.350857\pi\) | |||||||
\(504\) | −8.24817 | − | 1.99189i | −0.367403 | − | 0.0887258i | ||||
\(505\) | −41.4538 | −1.84467 | ||||||||
\(506\) | 7.76440 | − | 38.2090i | 0.345170 | − | 1.69860i | ||||
\(507\) | 61.5847 | + | 21.8790i | 2.73507 | + | 0.971682i | ||||
\(508\) | −21.3987 | − | 9.07139i | −0.949415 | − | 0.402478i | ||||
\(509\) | 11.1979 | + | 6.46509i | 0.496337 | + | 0.286560i | 0.727199 | − | 0.686426i | \(-0.240822\pi\) |
−0.230863 | + | 0.972986i | \(0.574155\pi\) | |||||||
\(510\) | −44.9681 | − | 0.820289i | −1.99122 | − | 0.0363230i | ||||
\(511\) | −4.62461 | − | 8.01006i | −0.204581 | − | 0.354344i | ||||
\(512\) | 5.23589 | − | 22.0133i | 0.231396 | − | 0.972860i | ||||
\(513\) | 5.48481 | − | 3.33805i | 0.242160 | − | 0.147378i | ||||
\(514\) | −9.45973 | + | 10.6973i | −0.417251 | + | 0.471839i | ||||
\(515\) | −41.5883 | + | 24.0110i | −1.83260 | + | 1.05805i | ||||
\(516\) | −6.01559 | + | 6.55759i | −0.264822 | + | 0.288682i | ||||
\(517\) | 14.6268 | + | 8.44481i | 0.643287 | + | 0.371402i | ||||
\(518\) | 1.42519 | − | 0.477234i | 0.0626194 | − | 0.0209685i | ||||
\(519\) | −8.56918 | + | 24.1204i | −0.376145 | + | 1.05877i | ||||
\(520\) | −4.96787 | + | 63.6947i | −0.217855 | + | 2.79320i | ||||
\(521\) | 35.1139 | 1.53837 | 0.769184 | − | 0.639028i | \(-0.220663\pi\) | ||||
0.769184 | + | 0.639028i | \(0.220663\pi\) | |||||||
\(522\) | 5.55370 | + | 33.5600i | 0.243079 | + | 1.46888i | ||||
\(523\) | 1.54778i | 0.0676797i | 0.999427 | + | 0.0338398i | \(0.0107736\pi\) | ||||
−0.999427 | + | 0.0338398i | \(0.989226\pi\) | |||||||
\(524\) | −20.9443 | − | 27.7670i | −0.914957 | − | 1.21301i | ||||
\(525\) | 1.58734 | + | 8.61356i | 0.0692772 | + | 0.375926i | ||||
\(526\) | −13.2734 | − | 39.6391i | −0.578747 | − | 1.72835i | ||||
\(527\) | −6.74166 | + | 11.6769i | −0.293671 | + | 0.508654i | ||||
\(528\) | 21.9579 | − | 10.0045i | 0.955593 | − | 0.435392i | ||||
\(529\) | −19.8318 | − | 34.3497i | −0.862252 | − | 1.49346i | ||||
\(530\) | 8.84353 | − | 10.0005i | 0.384138 | − | 0.434394i | ||||
\(531\) | −11.0388 | + | 13.5750i | −0.479043 | + | 0.589106i | ||||
\(532\) | −2.45278 | + | 0.302329i | −0.106341 | + | 0.0131076i | ||||
\(533\) | −2.10348 | + | 1.21445i | −0.0911120 | + | 0.0526035i | ||||
\(534\) | −6.24717 | + | 3.45644i | −0.270341 | + | 0.149575i | ||||
\(535\) | −13.6346 | + | 23.6158i | −0.589475 | + | 1.02100i | ||||
\(536\) | 9.75150 | + | 20.4075i | 0.421200 | + | 0.881471i | ||||
\(537\) | 23.3548 | + | 27.4015i | 1.00783 | + | 1.18246i | ||||
\(538\) | 4.19800 | − | 20.6586i | 0.180989 | − | 0.890656i | ||||
\(539\) | 3.48281i | 0.150015i | ||||||||
\(540\) | 12.1581 | − | 30.6319i | 0.523200 | − | 1.31819i | ||||
\(541\) | − | 15.0247i | − | 0.645964i | −0.946405 | − | 0.322982i | \(-0.895315\pi\) | ||
0.946405 | − | 0.322982i | \(-0.104685\pi\) | |||||||
\(542\) | 15.6126 | + | 3.17261i | 0.670618 | + | 0.136275i | ||||
\(543\) | −10.7265 | − | 12.5851i | −0.460317 | − | 0.540077i | ||||
\(544\) | −17.6303 | − | 27.6027i | −0.755894 | − | 1.18346i | ||||
\(545\) | 28.4960 | − | 49.3566i | 1.22064 | − | 2.11420i | ||||
\(546\) | 8.44649 | + | 15.2662i | 0.361476 | + | 0.653331i | ||||
\(547\) | 28.1945 | − | 16.2781i | 1.20551 | − | 0.696002i | 0.243736 | − | 0.969842i | \(-0.421627\pi\) |
0.961775 | + | 0.273840i | \(0.0882937\pi\) | |||||||
\(548\) | 0.885187 | + | 7.18147i | 0.0378133 | + | 0.306777i | ||||
\(549\) | −6.00322 | − | 15.7348i | −0.256211 | − | 0.671546i | ||||
\(550\) | −18.6580 | − | 16.4994i | −0.795579 | − | 0.703537i | ||||
\(551\) | 4.95364 | + | 8.57995i | 0.211032 | + | 0.365518i | ||||
\(552\) | 15.7847 | − | 35.4227i | 0.671842 | − | 1.50769i | ||||
\(553\) | −0.117791 | + | 0.204020i | −0.00500897 | + | 0.00867579i | ||||
\(554\) | 30.5264 | − | 10.2219i | 1.29694 | − | 0.434289i | ||||
\(555\) | 1.05794 | + | 5.74082i | 0.0449071 | + | 0.243684i | ||||
\(556\) | −4.22932 | − | 5.60704i | −0.179363 | − | 0.237791i | ||||
\(557\) | − | 29.1719i | − | 1.23605i | −0.786157 | − | 0.618026i | \(-0.787932\pi\) | ||
0.786157 | − | 0.618026i | \(-0.212068\pi\) | |||||||
\(558\) | −6.27073 | − | 7.63506i | −0.265461 | − | 0.323218i | ||||
\(559\) | 18.2974 | 0.773896 | ||||||||
\(560\) | −9.11655 | + | 8.82026i | −0.385244 | + | 0.372724i | ||||
\(561\) | 11.6925 | − | 32.9118i | 0.493657 | − | 1.38954i | ||||
\(562\) | 4.69230 | + | 14.0129i | 0.197933 | + | 0.591098i | ||||
\(563\) | −6.05943 | − | 3.49842i | −0.255375 | − | 0.147441i | 0.366848 | − | 0.930281i | \(-0.380437\pi\) |
−0.622223 | + | 0.782840i | \(0.713770\pi\) | |||||||
\(564\) | 12.3792 | + | 11.3560i | 0.521257 | + | 0.478174i | ||||
\(565\) | −0.974016 | + | 0.562348i | −0.0409771 | + | 0.0236582i | ||||
\(566\) | 21.5885 | + | 19.0909i | 0.907434 | + | 0.802451i | ||||
\(567\) | −1.83526 | − | 8.81089i | −0.0770736 | − | 0.370023i | ||||
\(568\) | 11.1902 | + | 7.67924i | 0.469530 | + | 0.322214i | ||||
\(569\) | 22.4539 | + | 38.8913i | 0.941316 | + | 1.63041i | 0.762965 | + | 0.646439i | \(0.223743\pi\) |
0.178350 | + | 0.983967i | \(0.442924\pi\) | |||||||
\(570\) | 0.175064 | − | 9.59699i | 0.00733263 | − | 0.401974i | ||||
\(571\) | −1.78032 | − | 1.02787i | −0.0745039 | − | 0.0430149i | 0.462285 | − | 0.886731i | \(-0.347030\pi\) |
−0.536789 | + | 0.843716i | \(0.680363\pi\) | |||||||
\(572\) | −45.6792 | − | 19.3644i | −1.90994 | − | 0.809667i | ||||
\(573\) | −7.99976 | − | 2.84205i | −0.334195 | − | 0.118728i | ||||
\(574\) | −0.472597 | − | 0.0960357i | −0.0197258 | − | 0.00400845i | ||||
\(575\) | −40.0296 | −1.66935 | ||||||||
\(576\) | 23.4787 | − | 4.97495i | 0.978280 | − | 0.207290i | ||||
\(577\) | −29.8221 | −1.24151 | −0.620755 | − | 0.784005i | \(-0.713174\pi\) | ||||
−0.620755 | + | 0.784005i | \(0.713174\pi\) | |||||||
\(578\) | −22.8992 | − | 4.65330i | −0.952479 | − | 0.193552i | ||||
\(579\) | −1.72586 | − | 9.36522i | −0.0717243 | − | 0.389205i | ||||
\(580\) | 46.8192 | + | 19.8477i | 1.94406 | + | 0.824130i | ||||
\(581\) | 8.77989 | + | 5.06907i | 0.364251 | + | 0.210301i | ||||
\(582\) | −9.72719 | − | 5.85510i | −0.403205 | − | 0.242702i | ||||
\(583\) | 5.18360 | + | 8.97826i | 0.214683 | + | 0.371841i | ||||
\(584\) | 21.5702 | + | 14.8025i | 0.892580 | + | 0.612531i | ||||
\(585\) | −63.3122 | + | 24.1552i | −2.61764 | + | 0.998693i | ||||
\(586\) | 21.3423 | + | 18.8732i | 0.881644 | + | 0.779644i | ||||
\(587\) | −16.9034 | + | 9.75916i | −0.697677 | + | 0.402804i | −0.806481 | − | 0.591259i | \(-0.798631\pi\) |
0.108805 | + | 0.994063i | \(0.465298\pi\) | |||||||
\(588\) | −0.751636 | + | 3.38157i | −0.0309969 | + | 0.139454i | ||||
\(589\) | −2.49206 | − | 1.43879i | −0.102683 | − | 0.0592843i | ||||
\(590\) | 8.30540 | + | 24.8029i | 0.341928 | + | 1.02112i | ||||
\(591\) | −18.3726 | − | 21.5560i | −0.755746 | − | 0.886695i | ||||
\(592\) | −3.05518 | + | 2.95589i | −0.125567 | + | 0.121486i | ||||
\(593\) | 40.5312 | 1.66442 | 0.832209 | − | 0.554462i | \(-0.187076\pi\) | ||||
0.832209 | + | 0.554462i | \(0.187076\pi\) | |||||||
\(594\) | 19.5590 | + | 16.5064i | 0.802517 | + | 0.677267i | ||||
\(595\) | 18.3612i | 0.752736i | ||||||||
\(596\) | 8.97248 | + | 11.8953i | 0.367527 | + | 0.487250i | ||||
\(597\) | 13.1651 | − | 11.2209i | 0.538813 | − | 0.459240i | ||||
\(598\) | −75.6121 | + | 25.3191i | −3.09201 | + | 1.03538i | ||||
\(599\) | 5.59058 | − | 9.68316i | 0.228425 | − | 0.395643i | −0.728917 | − | 0.684602i | \(-0.759976\pi\) |
0.957341 | + | 0.288959i | \(0.0933092\pi\) | |||||||
\(600\) | −14.5549 | − | 20.0464i | −0.594200 | − | 0.818393i | ||||
\(601\) | 22.6284 | + | 39.1935i | 0.923030 | + | 1.59873i | 0.794700 | + | 0.607003i | \(0.207628\pi\) |
0.128330 | + | 0.991732i | \(0.459038\pi\) | |||||||
\(602\) | 2.72147 | + | 2.40662i | 0.110919 | + | 0.0980865i | ||||
\(603\) | −15.1352 | + | 18.6126i | −0.616353 | + | 0.757965i | ||||
\(604\) | 0.331732 | + | 2.69132i | 0.0134980 | + | 0.109508i | ||||
\(605\) | 3.10331 | − | 1.79170i | 0.126168 | − | 0.0728429i | ||||
\(606\) | 16.5127 | − | 27.4328i | 0.670781 | − | 1.11438i | ||||
\(607\) | 10.9071 | − | 18.8917i | 0.442707 | − | 0.766790i | −0.555183 | − | 0.831728i | \(-0.687352\pi\) |
0.997889 | + | 0.0649381i | \(0.0206850\pi\) | |||||||
\(608\) | 5.89091 | − | 3.76262i | 0.238908 | − | 0.152595i | ||||
\(609\) | 13.6572 | − | 2.51679i | 0.553416 | − | 0.101986i | ||||
\(610\) | −24.6722 | − | 5.01360i | −0.998948 | − | 0.202995i | ||||
\(611\) | − | 34.5411i | − | 1.39738i | ||||||
\(612\) | 18.4554 | − | 29.4318i | 0.746016 | − | 1.18971i | ||||
\(613\) | − | 38.6709i | − | 1.56190i | −0.624592 | − | 0.780951i | \(-0.714735\pi\) | ||
0.624592 | − | 0.780951i | \(-0.285265\pi\) | |||||||
\(614\) | −0.507658 | + | 2.49821i | −0.0204874 | + | 0.100820i | ||||
\(615\) | 0.627043 | − | 1.76499i | 0.0252848 | − | 0.0711712i | ||||
\(616\) | −4.24715 | − | 8.88827i | −0.171123 | − | 0.358119i | ||||
\(617\) | 23.5343 | − | 40.7626i | 0.947456 | − | 1.64104i | 0.196698 | − | 0.980464i | \(-0.436978\pi\) |
0.750758 | − | 0.660577i | \(-0.229688\pi\) | |||||||
\(618\) | 0.676514 | − | 37.0864i | 0.0272134 | − | 1.49183i | ||||
\(619\) | −7.44781 | + | 4.30000i | −0.299353 | + | 0.172831i | −0.642152 | − | 0.766577i | \(-0.721958\pi\) |
0.342799 | + | 0.939409i | \(0.388625\pi\) | |||||||
\(620\) | −14.6592 | + | 1.80689i | −0.588727 | + | 0.0725664i | ||||
\(621\) | 41.1219 | − | 0.950861i | 1.65017 | − | 0.0381567i | ||||
\(622\) | −7.39197 | + | 8.35904i | −0.296391 | + | 0.335167i | ||||
\(623\) | 1.45737 | + | 2.52423i | 0.0583882 | + | 0.101131i | ||||
\(624\) | −40.1723 | − | 28.6597i | −1.60818 | − | 1.14731i | ||||
\(625\) | 12.3564 | − | 21.4020i | 0.494258 | − | 0.856080i | ||||
\(626\) | 9.92200 | + | 29.6307i | 0.396563 | + | 1.18428i | ||||
\(627\) | 7.02396 | + | 2.49538i | 0.280510 | + | 0.0996560i | ||||
\(628\) | 9.78335 | + | 12.9703i | 0.390398 | + | 0.517571i | ||||
\(629\) | 6.15330i | 0.245348i | ||||||||
\(630\) | −12.5939 | − | 4.73460i | −0.501752 | − | 0.188631i | ||||
\(631\) | 1.54659 | 0.0615686 | 0.0307843 | − | 0.999526i | \(-0.490200\pi\) | ||||
0.0307843 | + | 0.999526i | \(0.490200\pi\) | |||||||
\(632\) | 0.0518127 | − | 0.664307i | 0.00206100 | − | 0.0264247i | ||||
\(633\) | 19.8253 | − | 3.65349i | 0.787986 | − | 0.145213i | ||||
\(634\) | −41.6549 | + | 13.9484i | −1.65433 | + | 0.553962i | ||||
\(635\) | −31.9158 | − | 18.4266i | −1.26654 | − | 0.731237i | ||||
\(636\) | 3.09530 | + | 9.83597i | 0.122737 | + | 0.390022i | ||||
\(637\) | 6.16846 | − | 3.56136i | 0.244403 | − | 0.141106i | ||||
\(638\) | −26.1605 | + | 29.5830i | −1.03570 | + | 1.17120i | ||||
\(639\) | −2.28088 | + | 14.2131i | −0.0902302 | + | 0.562262i | ||||
\(640\) | 12.5098 | − | 33.6269i | 0.494494 | − | 1.32922i | ||||
\(641\) | 11.7787 | + | 20.4014i | 0.465233 | + | 0.805806i | 0.999212 | − | 0.0396911i | \(-0.0126374\pi\) |
−0.533979 | + | 0.845497i | \(0.679304\pi\) | |||||||
\(642\) | −10.1970 | − | 18.4301i | −0.402444 | − | 0.727377i | ||||
\(643\) | 9.54889 | + | 5.51305i | 0.376571 | + | 0.217414i | 0.676325 | − | 0.736603i | \(-0.263571\pi\) |
−0.299754 | + | 0.954016i | \(0.596905\pi\) | |||||||
\(644\) | −14.5764 | − | 6.17926i | −0.574390 | − | 0.243497i | ||||
\(645\) | −10.7388 | + | 9.15288i | −0.422841 | + | 0.360394i | ||||
\(646\) | 2.01486 | − | 9.91523i | 0.0792735 | − | 0.390109i | ||||
\(647\) | 18.9187 | 0.743769 | 0.371885 | − | 0.928279i | \(-0.378712\pi\) | ||||
0.371885 | + | 0.928279i | \(0.378712\pi\) | |||||||
\(648\) | 15.4282 | + | 20.2477i | 0.606077 | + | 0.795406i | ||||
\(649\) | −20.3126 | −0.797340 | ||||||||
\(650\) | −10.1435 | + | 49.9170i | −0.397863 | + | 1.95790i | ||||
\(651\) | −3.06979 | + | 2.61644i | −0.120315 | + | 0.102546i | ||||
\(652\) | −10.2081 | + | 24.0801i | −0.399779 | + | 0.943048i | ||||
\(653\) | −5.83422 | − | 3.36839i | −0.228311 | − | 0.131815i | 0.381482 | − | 0.924376i | \(-0.375414\pi\) |
−0.609792 | + | 0.792561i | \(0.708747\pi\) | |||||||
\(654\) | 21.3116 | + | 38.5185i | 0.833348 | + | 1.50619i | ||||
\(655\) | −27.5742 | − | 47.7599i | −1.07741 | − | 1.86613i | ||||
\(656\) | 1.32320 | − | 0.331227i | 0.0516622 | − | 0.0129322i | ||||
\(657\) | −4.39661 | + | 27.3971i | −0.171528 | + | 1.06886i | ||||
\(658\) | 4.54312 | − | 5.13749i | 0.177109 | − | 0.200280i | ||||
\(659\) | 37.4410 | − | 21.6166i | 1.45849 | − | 0.842062i | 0.459557 | − | 0.888148i | \(-0.348008\pi\) |
0.998937 | + | 0.0460857i | \(0.0146747\pi\) | |||||||
\(660\) | 36.4960 | − | 11.4850i | 1.42060 | − | 0.447052i | ||||
\(661\) | −19.4670 | − | 11.2393i | −0.757180 | − | 0.437158i | 0.0711024 | − | 0.997469i | \(-0.477348\pi\) |
−0.828282 | + | 0.560311i | \(0.810682\pi\) | |||||||
\(662\) | 12.4652 | − | 4.17405i | 0.484475 | − | 0.162229i | ||||
\(663\) | −70.2468 | + | 12.9453i | −2.72816 | + | 0.502756i | ||||
\(664\) | −28.5882 | − | 2.22974i | −1.10944 | − | 0.0865305i | ||||
\(665\) | −3.91861 | −0.151957 | ||||||||
\(666\) | −4.22052 | − | 1.58668i | −0.163542 | − | 0.0614828i | ||||
\(667\) | 63.4687i | 2.45752i | ||||||||
\(668\) | −7.18949 | + | 5.42295i | −0.278170 | + | 0.209820i | ||||
\(669\) | −34.2145 | − | 12.1553i | −1.32281 | − | 0.469951i | ||||
\(670\) | 11.3875 | + | 34.0071i | 0.439937 | + | 1.31381i | ||||
\(671\) | 9.77574 | − | 16.9321i | 0.377388 | − | 0.653656i | ||||
\(672\) | −2.20550 | − | 9.54651i | −0.0850788 | − | 0.368264i | ||||
\(673\) | 17.8779 | + | 30.9655i | 0.689144 | + | 1.19363i | 0.972115 | + | 0.234504i | \(0.0753464\pi\) |
−0.282972 | + | 0.959128i | \(0.591320\pi\) | |||||||
\(674\) | 2.34996 | − | 2.65740i | 0.0905169 | − | 0.102359i | ||||
\(675\) | 12.6083 | − | 23.0531i | 0.485296 | − | 0.887315i | ||||
\(676\) | 9.23210 | + | 74.8995i | 0.355081 | + | 2.88075i | ||||
\(677\) | −1.48425 | + | 0.856932i | −0.0570444 | + | 0.0329346i | −0.528251 | − | 0.849088i | \(-0.677152\pi\) |
0.471207 | + | 0.882023i | \(0.343819\pi\) | |||||||
\(678\) | 0.0158442 | − | 0.868579i | 0.000608494 | − | 0.0333576i | ||||
\(679\) | −2.31751 | + | 4.01404i | −0.0889379 | + | 0.154045i | ||||
\(680\) | −22.3908 | − | 46.8586i | −0.858648 | − | 1.79694i | ||||
\(681\) | −0.681471 | + | 1.91819i | −0.0261140 | + | 0.0735053i | ||||
\(682\) | 2.28415 | − | 11.2404i | 0.0874647 | − | 0.430418i | ||||
\(683\) | 6.51249i | 0.249194i | 0.992207 | + | 0.124597i | \(0.0397637\pi\) | ||||
−0.992207 | + | 0.124597i | \(0.960236\pi\) | |||||||
\(684\) | 6.28126 | + | 3.93871i | 0.240170 | + | 0.150600i | ||||
\(685\) | 11.4733i | 0.438371i | ||||||||
\(686\) | 1.38589 | + | 0.281624i | 0.0529135 | + | 0.0107525i | ||||
\(687\) | 21.8475 | − | 4.02614i | 0.833533 | − | 0.153607i | ||||
\(688\) | −9.88009 | − | 2.82306i | −0.376675 | − | 0.107628i | ||||
\(689\) | 10.6010 | − | 18.3615i | 0.403867 | − | 0.699517i | ||||
\(690\) | 31.7117 | − | 52.6833i | 1.20724 | − | 2.00562i | ||||
\(691\) | 18.4092 | − | 10.6285i | 0.700318 | − | 0.404329i | −0.107148 | − | 0.994243i | \(-0.534172\pi\) |
0.807466 | + | 0.589914i | \(0.200838\pi\) | |||||||
\(692\) | −29.3353 | + | 3.61586i | −1.11516 | + | 0.137454i | ||||
\(693\) | 6.59197 | − | 8.10652i | 0.250408 | − | 0.307941i | ||||
\(694\) | −17.4873 | − | 15.4641i | −0.663807 | − | 0.587010i | ||||
\(695\) | −5.56811 | − | 9.64424i | −0.211210 | − | 0.365827i | ||||
\(696\) | −31.7845 | + | 23.0774i | −1.20479 | + | 0.874745i | ||||
\(697\) | 0.987199 | − | 1.70988i | 0.0373928 | − | 0.0647663i | ||||
\(698\) | 22.1024 | − | 7.40112i | 0.836589 | − | 0.280137i | ||||
\(699\) | 5.52662 | − | 4.71043i | 0.209036 | − | 0.178165i | ||||
\(700\) | −8.07419 | + | 6.09027i | −0.305176 | + | 0.230191i | ||||
\(701\) | 30.5912i | 1.15541i | 0.816245 | + | 0.577706i | \(0.196052\pi\) | ||||
−0.816245 | + | 0.577706i | \(0.803948\pi\) | |||||||
\(702\) | 9.23462 | − | 51.5200i | 0.348538 | − | 1.94450i | ||||
\(703\) | −1.31322 | −0.0495291 | ||||||||
\(704\) | 21.6778 | + | 17.5040i | 0.817014 | + | 0.659707i | ||||
\(705\) | 17.2785 | + | 20.2723i | 0.650744 | + | 0.763500i | ||||
\(706\) | 10.2561 | + | 30.6285i | 0.385994 | + | 1.15272i | ||||
\(707\) | −11.3205 | − | 6.53589i | −0.425751 | − | 0.245807i | ||||
\(708\) | −19.7222 | − | 4.38373i | −0.741205 | − | 0.164751i | ||||
\(709\) | 14.9773 | − | 8.64716i | 0.562485 | − | 0.324751i | −0.191657 | − | 0.981462i | \(-0.561386\pi\) |
0.754142 | + | 0.656711i | \(0.228053\pi\) | |||||||
\(710\) | 16.1206 | + | 14.2555i | 0.604994 | + | 0.535001i | ||||
\(711\) | 0.660318 | − | 0.251927i | 0.0247639 | − | 0.00944802i | ||||
\(712\) | −6.79747 | − | 4.66475i | −0.254746 | − | 0.174819i | ||||
\(713\) | −9.21727 | − | 15.9648i | −0.345190 | − | 0.597886i | ||||
\(714\) | −12.1509 | − | 7.31400i | −0.454735 | − | 0.273719i | ||||
\(715\) | −68.1296 | − | 39.3346i | −2.54790 | − | 1.47103i | ||||
\(716\) | −16.2263 | + | 38.2765i | −0.606404 | + | 1.43046i | ||||
\(717\) | −0.741880 | − | 4.02575i | −0.0277060 | − | 0.150344i | ||||
\(718\) | −20.6418 | − | 4.19459i | −0.770345 | − | 0.156541i | ||||
\(719\) | 21.5609 | 0.804087 | 0.402044 | − | 0.915621i | \(-0.368300\pi\) | ||||
0.402044 | + | 0.915621i | \(0.368300\pi\) | |||||||
\(720\) | 37.9137 | − | 3.27484i | 1.41296 | − | 0.122046i | ||||
\(721\) | −15.1430 | −0.563954 | ||||||||
\(722\) | −24.2158 | − | 4.92086i | −0.901219 | − | 0.183135i | ||||
\(723\) | −7.12610 | − | 2.53167i | −0.265022 | − | 0.0941538i | ||||
\(724\) | 7.45247 | − | 17.5798i | 0.276969 | − | 0.653348i | ||||
\(725\) | 35.1121 | + | 20.2720i | 1.30403 | + | 0.752881i | ||||
\(726\) | −0.0504813 | + | 2.76738i | −0.00187354 | + | 0.102707i | ||||
\(727\) | −10.5280 | − | 18.2351i | −0.390463 | − | 0.676302i | 0.602048 | − | 0.798460i | \(-0.294352\pi\) |
−0.992511 | + | 0.122158i | \(0.961018\pi\) | |||||||
\(728\) | −11.3992 | + | 16.6109i | −0.422483 | + | 0.615642i | ||||
\(729\) | −12.4048 | + | 23.9817i | −0.459437 | + | 0.888210i | ||||
\(730\) | 31.0739 | + | 27.4789i | 1.15010 | + | 1.01704i | ||||
\(731\) | −12.8809 | + | 7.43678i | −0.476416 | + | 0.275059i | ||||
\(732\) | 13.1458 | − | 14.3302i | 0.485881 | − | 0.529659i | ||||
\(733\) | −36.7419 | − | 21.2129i | −1.35709 | − | 0.783518i | −0.367861 | − | 0.929881i | \(-0.619910\pi\) |
−0.989231 | + | 0.146363i | \(0.953243\pi\) | |||||||
\(734\) | 3.40896 | + | 10.1804i | 0.125827 | + | 0.375765i | ||||
\(735\) | −1.83880 | + | 5.17582i | −0.0678252 | + | 0.190913i | ||||
\(736\) | 44.7349 | − | 2.00564i | 1.64895 | − | 0.0739288i | ||||
\(737\) | −27.8505 | −1.02589 | ||||||||
\(738\) | 0.918239 | + | 1.11802i | 0.0338008 | + | 0.0411550i | ||||
\(739\) | − | 8.05062i | − | 0.296147i | −0.988976 | − | 0.148073i | \(-0.952693\pi\) | ||
0.988976 | − | 0.148073i | \(-0.0473072\pi\) | |||||||
\(740\) | −5.38135 | + | 4.05909i | −0.197822 | + | 0.149215i | ||||
\(741\) | −2.76277 | − | 14.9919i | −0.101493 | − | 0.550741i | ||||
\(742\) | 3.99180 | − | 1.33668i | 0.146544 | − | 0.0490710i | ||||
\(743\) | 4.90467 | − | 8.49514i | 0.179935 | − | 0.311657i | −0.761923 | − | 0.647668i | \(-0.775745\pi\) |
0.941858 | + | 0.336011i | \(0.109078\pi\) | |||||||
\(744\) | 4.64359 | − | 10.4208i | 0.170242 | − | 0.382043i | ||||
\(745\) | 11.8127 | + | 20.4602i | 0.432784 | + | 0.749604i | ||||
\(746\) | −4.74260 | − | 4.19392i | −0.173639 | − | 0.153550i | ||||
\(747\) | −10.8416 | − | 28.4165i | −0.396673 | − | 1.03971i | ||||
\(748\) | 40.0274 | − | 4.93377i | 1.46355 | − | 0.180397i | ||||
\(749\) | −7.44687 | + | 4.29945i | −0.272103 | + | 0.157099i | ||||
\(750\) | −0.213517 | − | 0.385910i | −0.00779653 | − | 0.0140914i | ||||
\(751\) | −5.17081 | + | 8.95610i | −0.188685 | + | 0.326813i | −0.944812 | − | 0.327612i | \(-0.893756\pi\) |
0.756127 | + | 0.654425i | \(0.227089\pi\) | |||||||
\(752\) | −5.32926 | + | 18.6513i | −0.194338 | + | 0.680141i | ||||
\(753\) | −18.7617 | − | 22.0126i | −0.683716 | − | 0.802184i | ||||
\(754\) | 79.1455 | + | 16.0830i | 2.88231 | + | 0.585709i | ||||
\(755\) | 4.29971i | 0.156482i | ||||||||
\(756\) | 8.14985 | − | 6.44825i | 0.296407 | − | 0.234521i | ||||
\(757\) | − | 0.226816i | − | 0.00824378i | −0.999992 | − | 0.00412189i | \(-0.998688\pi\) | ||
0.999992 | − | 0.00412189i | \(-0.00131204\pi\) | |||||||
\(758\) | 1.99609 | − | 9.82288i | 0.0725013 | − | 0.356783i | ||||
\(759\) | 30.9758 | + | 36.3431i | 1.12435 | + | 1.31917i | ||||
\(760\) | 10.0004 | − | 4.77859i | 0.362754 | − | 0.173338i | ||||
\(761\) | −15.3462 | + | 26.5804i | −0.556300 | + | 0.963540i | 0.441501 | + | 0.897261i | \(0.354446\pi\) |
−0.997801 | + | 0.0662792i | \(0.978887\pi\) | |||||||
\(762\) | 24.9075 | − | 13.7808i | 0.902302 | − | 0.499227i | ||||
\(763\) | 15.5638 | − | 8.98576i | 0.563447 | − | 0.325306i | ||||
\(764\) | −1.19924 | − | 9.72932i | −0.0433868 | − | 0.351995i | ||||
\(765\) | 34.7525 | − | 42.7372i | 1.25648 | − | 1.54517i | ||||
\(766\) | 25.5312 | − | 28.8714i | 0.922480 | − | 1.04317i | ||||
\(767\) | 20.7707 | + | 35.9760i | 0.749988 | + | 1.29902i | ||||
\(768\) | 17.2701 | + | 21.6736i | 0.623182 | + | 0.782077i | ||||
\(769\) | 6.21620 | − | 10.7668i | 0.224162 | − | 0.388260i | −0.731906 | − | 0.681406i | \(-0.761369\pi\) |
0.956068 | + | 0.293146i | \(0.0947022\pi\) | |||||||
\(770\) | −4.95969 | − | 14.8114i | −0.178735 | − | 0.533767i | ||||
\(771\) | −3.16964 | − | 17.1998i | −0.114152 | − | 0.619435i | ||||
\(772\) | 8.77879 | − | 6.62174i | 0.315956 | − | 0.238322i | ||||
\(773\) | − | 24.7073i | − | 0.888660i | −0.895863 | − | 0.444330i | \(-0.853442\pi\) | ||
0.895863 | − | 0.444330i | \(-0.146558\pi\) | |||||||
\(774\) | −1.77940 | − | 10.7526i | −0.0639592 | − | 0.386493i | ||||
\(775\) | −11.7760 | −0.423007 | ||||||||
\(776\) | 1.01940 | − | 13.0701i | 0.0365945 | − | 0.469190i | ||||
\(777\) | −0.616228 | + | 1.73455i | −0.0221071 | + | 0.0622265i | ||||
\(778\) | −3.71391 | + | 1.24362i | −0.133150 | + | 0.0445861i | ||||
\(779\) | 0.364918 | + | 0.210686i | 0.0130746 | + | 0.00754859i | ||||
\(780\) | −57.6603 | − | 52.8945i | −2.06457 | − | 1.89393i | ||||
\(781\) | −14.4727 | + | 8.35583i | −0.517875 | + | 0.298995i | ||||
\(782\) | 42.9382 | − | 48.5558i | 1.53547 | − | 1.73635i | ||||
\(783\) | −36.5517 | − | 19.9911i | −1.30625 | − | 0.714423i | ||||
\(784\) | −3.88027 | + | 0.971322i | −0.138581 | + | 0.0346901i | ||||
\(785\) | 12.8802 | + | 22.3092i | 0.459716 | + | 0.796251i | ||||
\(786\) | 42.5899 | + | 0.776906i | 1.51913 | + | 0.0277113i | ||||
\(787\) | 32.7240 | + | 18.8932i | 1.16649 | + | 0.673471i | 0.952850 | − | 0.303442i | \(-0.0981360\pi\) |
0.213636 | + | 0.976913i | \(0.431469\pi\) | |||||||
\(788\) | 12.7648 | − | 30.1111i | 0.454726 | − | 1.07266i | ||||
\(789\) | 48.2433 | + | 17.1393i | 1.71751 | + | 0.610174i | ||||
\(790\) | 0.210398 | − | 1.03538i | 0.00748561 | − | 0.0368371i | ||||
\(791\) | −0.354655 | −0.0126101 | ||||||||
\(792\) | −6.93738 | + | 28.7268i | −0.246509 | + | 1.02076i | ||||
\(793\) | −39.9849 | −1.41990 | ||||||||
\(794\) | −0.497650 | + | 2.44896i | −0.0176609 | + | 0.0869104i | ||||
\(795\) | 2.96317 | + | 16.0794i | 0.105093 | + | 0.570277i | ||||
\(796\) | 18.3901 | + | 7.79597i | 0.651819 | + | 0.276321i | ||||
\(797\) | 12.5617 | + | 7.25248i | 0.444957 | + | 0.256896i | 0.705698 | − | 0.708513i | \(-0.250634\pi\) |
−0.260741 | + | 0.965409i | \(0.583967\pi\) | |||||||
\(798\) | 1.56094 | − | 2.59321i | 0.0552565 | − | 0.0917987i | ||||
\(799\) | 14.0389 | + | 24.3160i | 0.496659 | + | 0.860239i | ||||
\(800\) | 13.1788 | − | 25.3888i | 0.465941 | − | 0.897629i | ||||
\(801\) | 1.38552 | − | 8.63374i | 0.0489548 | − | 0.305058i | ||||
\(802\) | 9.30606 | − | 10.5235i | 0.328608 | − | 0.371599i | ||||
\(803\) | −27.8975 | + | 16.1066i | −0.984483 | + | 0.568391i | ||||
\(804\) | −27.0409 | − | 6.01050i | −0.953661 | − | 0.211974i | ||||
\(805\) | −21.7404 | − | 12.5518i | −0.766249 | − | 0.442394i | ||||
\(806\) | −22.2438 | + | 7.44845i | −0.783503 | + | 0.262360i | ||||
\(807\) | 16.7478 | + | 19.6497i | 0.589551 | + | 0.691704i | ||||
\(808\) | 36.8606 | + | 2.87494i | 1.29675 | + | 0.101140i | ||||
\(809\) | −42.3650 | −1.48947 | −0.744737 | − | 0.667358i | \(-0.767425\pi\) | ||||
−0.744737 | + | 0.667358i | \(0.767425\pi\) | |||||||
\(810\) | 20.3520 | + | 34.8568i | 0.715096 | + | 1.22474i | ||||
\(811\) | − | 41.6068i | − | 1.46101i | −0.682907 | − | 0.730505i | \(-0.739285\pi\) | ||
0.682907 | − | 0.730505i | \(-0.260715\pi\) | |||||||
\(812\) | 9.65638 | + | 12.8020i | 0.338873 | + | 0.449261i | ||||
\(813\) | −14.8501 | + | 12.6570i | −0.520817 | + | 0.443901i | ||||
\(814\) | −1.66212 | − | 4.96368i | −0.0582571 | − | 0.173977i | ||||
\(815\) | −20.7355 | + | 35.9149i | −0.726333 | + | 1.25805i | ||||
\(816\) | 39.9287 | + | 3.84808i | 1.39778 | + | 0.134710i | ||||
\(817\) | −1.58714 | − | 2.74901i | −0.0555270 | − | 0.0961756i | ||||
\(818\) | 25.0798 | − | 28.3610i | 0.876896 | − | 0.991619i | ||||
\(819\) | −21.0982 | − | 3.38578i | −0.737231 | − | 0.118309i | ||||
\(820\) | 2.14658 | − | 0.264588i | 0.0749619 | − | 0.00923980i | ||||
\(821\) | −11.3021 | + | 6.52525i | −0.394444 | + | 0.227733i | −0.684084 | − | 0.729403i | \(-0.739798\pi\) |
0.289640 | + | 0.957136i | \(0.406465\pi\) | |||||||
\(822\) | −7.59265 | − | 4.57025i | −0.264824 | − | 0.159406i | ||||
\(823\) | 24.5256 | − | 42.4795i | 0.854907 | − | 1.48074i | −0.0218240 | − | 0.999762i | \(-0.506947\pi\) |
0.876731 | − | 0.480981i | \(-0.159719\pi\) | |||||||
\(824\) | 38.6455 | − | 18.4663i | 1.34628 | − | 0.643304i | ||||
\(825\) | 29.9994 | − | 5.52840i | 1.04444 | − | 0.192474i | ||||
\(826\) | −1.64250 | + | 8.08285i | −0.0571500 | + | 0.281238i | ||||
\(827\) | 32.7515i | 1.13888i | 0.822033 | + | 0.569440i | \(0.192840\pi\) | ||||
−0.822033 | + | 0.569440i | \(0.807160\pi\) | |||||||
\(828\) | 22.2321 | + | 41.9717i | 0.772620 | + | 1.45862i | ||||
\(829\) | 42.1327i | 1.46333i | 0.681664 | + | 0.731665i | \(0.261257\pi\) | ||||
−0.681664 | + | 0.731665i | \(0.738743\pi\) | |||||||
\(830\) | −44.5570 | − | 9.05437i | −1.54660 | − | 0.314282i | ||||
\(831\) | −13.1991 | + | 37.1525i | −0.457871 | + | 1.28881i | ||||
\(832\) | 8.83484 | − | 56.2927i | 0.306293 | − | 1.95160i | ||||
\(833\) | −2.89496 | + | 5.01421i | −0.100304 | + | 0.173732i | ||||
\(834\) | 8.60026 | + | 0.156882i | 0.297803 | + | 0.00543238i | ||||
\(835\) | −12.3661 | + | 7.13957i | −0.427947 | + | 0.247075i | ||||
\(836\) | 1.05295 | + | 8.54255i | 0.0364172 | + | 0.295450i | ||||
\(837\) | 12.0974 | − | 0.279727i | 0.418146 | − | 0.00966877i | ||||
\(838\) | 13.2628 | + | 11.7284i | 0.458157 | + | 0.405152i | ||||
\(839\) | −6.95180 | − | 12.0409i | −0.240003 | − | 0.415697i | 0.720712 | − | 0.693235i | \(-0.243815\pi\) |
−0.960715 | + | 0.277538i | \(0.910482\pi\) | |||||||
\(840\) | −1.61903 | − | 15.4513i | −0.0558617 | − | 0.533119i | ||||
\(841\) | 17.6421 | − | 30.5569i | 0.608347 | − | 1.05369i | ||||
\(842\) | −0.812454 | + | 0.272055i | −0.0279990 | + | 0.00937563i | ||||
\(843\) | −17.0545 | − | 6.05892i | −0.587390 | − | 0.208680i | ||||
\(844\) | 14.0176 | + | 18.5839i | 0.482507 | + | 0.639685i | ||||
\(845\) | 119.661i | 4.11646i | ||||||||
\(846\) | −20.2983 | + | 3.35908i | −0.697870 | + | 0.115488i | ||||
\(847\) | 1.12997 | 0.0388261 | ||||||||
\(848\) | −8.55722 | + | 8.27911i | −0.293856 | + | 0.284306i | ||||
\(849\) | −34.7113 | + | 6.39673i | −1.19129 | + | 0.219535i | ||||
\(850\) | −13.1474 | − | 39.2630i | −0.450953 | − | 1.34671i | ||||
\(851\) | −7.28575 | − | 4.20643i | −0.249752 | − | 0.144195i | ||||
\(852\) | −15.8553 | + | 4.98954i | −0.543195 | + | 0.170939i | ||||
\(853\) | −46.5067 | + | 26.8506i | −1.59236 | + | 0.919348i | −0.599456 | + | 0.800408i | \(0.704616\pi\) |
−0.992901 | + | 0.118941i | \(0.962050\pi\) | |||||||
\(854\) | −5.94718 | − | 5.25914i | −0.203508 | − | 0.179964i | ||||
\(855\) | 9.12087 | + | 7.41681i | 0.311927 | + | 0.253649i | ||||
\(856\) | 13.7617 | − | 20.0536i | 0.470365 | − | 0.685416i | ||||
\(857\) | −3.36558 | − | 5.82935i | −0.114966 | − | 0.199127i | 0.802800 | − | 0.596248i | \(-0.203343\pi\) |
−0.917766 | + | 0.397121i | \(0.870009\pi\) | |||||||
\(858\) | 53.1691 | − | 29.4175i | 1.81516 | − | 1.00430i | ||||
\(859\) | −24.4912 | − | 14.1400i | −0.835628 | − | 0.482450i | 0.0201475 | − | 0.999797i | \(-0.493586\pi\) |
−0.855776 | + | 0.517347i | \(0.826920\pi\) | |||||||
\(860\) | −15.0008 | − | 6.35918i | −0.511523 | − | 0.216846i | ||||
\(861\) | 0.449518 | − | 0.383132i | 0.0153195 | − | 0.0130571i | ||||
\(862\) | −15.8039 | − | 3.21149i | −0.538283 | − | 0.109384i | ||||
\(863\) | 33.6320 | 1.14485 | 0.572424 | − | 0.819958i | \(-0.306003\pi\) | ||||
0.572424 | + | 0.819958i | \(0.306003\pi\) | |||||||
\(864\) | −12.9353 | + | 26.3946i | −0.440070 | + | 0.897964i | ||||
\(865\) | −46.8666 | −1.59351 | ||||||||
\(866\) | −12.5932 | − | 2.55904i | −0.427933 | − | 0.0869597i | ||||
\(867\) | 21.7809 | − | 18.5642i | 0.739717 | − | 0.630474i | ||||
\(868\) | −4.28812 | − | 1.81783i | −0.145548 | − | 0.0617012i | ||||
\(869\) | 0.710561 | + | 0.410243i | 0.0241041 | + | 0.0139165i | ||||
\(870\) | −54.4961 | + | 30.1517i | −1.84759 | + | 1.02224i | ||||
\(871\) | 28.4786 | + | 49.3264i | 0.964961 | + | 1.67136i | ||||
\(872\) | −28.7617 | + | 41.9115i | −0.973992 | + | 1.41930i | ||||
\(873\) | 12.9916 | − | 4.95662i | 0.439700 | − | 0.167756i | ||||
\(874\) | 10.3627 | + | 9.16378i | 0.350522 | + | 0.309969i | ||||
\(875\) | −0.155931 | + | 0.0900267i | −0.00527143 | + | 0.00304346i | ||||
\(876\) | −30.5627 | + | 9.61782i | −1.03262 | + | 0.324956i | ||||
\(877\) | 21.4238 | + | 12.3690i | 0.723430 | + | 0.417672i | 0.816014 | − | 0.578032i | \(-0.196179\pi\) |
−0.0925839 | + | 0.995705i | \(0.529513\pi\) | |||||||
\(878\) | 11.1689 | + | 33.3544i | 0.376933 | + | 1.12566i | ||||
\(879\) | −34.3154 | + | 6.32378i | −1.15743 | + | 0.213296i | ||||
\(880\) | 30.7193 | + | 31.7512i | 1.03555 | + | 1.07033i | ||||
\(881\) | 19.8982 | 0.670387 | 0.335194 | − | 0.942149i | \(-0.391198\pi\) | ||||
0.335194 | + | 0.942149i | \(0.391198\pi\) | |||||||
\(882\) | −2.69273 | − | 3.27860i | −0.0906690 | − | 0.110396i | ||||
\(883\) | − | 11.1586i | − | 0.375516i | −0.982215 | − | 0.187758i | \(-0.939878\pi\) | ||
0.982215 | − | 0.187758i | \(-0.0601220\pi\) | |||||||
\(884\) | −49.6685 | − | 65.8481i | −1.67053 | − | 2.21471i | ||||
\(885\) | −30.1867 | − | 10.7243i | −1.01471 | − | 0.360495i | ||||
\(886\) | −45.8943 | + | 15.3680i | −1.54185 | + | 0.516296i | ||||
\(887\) | 21.5110 | − | 37.2582i | 0.722269 | − | 1.25101i | −0.237819 | − | 0.971309i | \(-0.576433\pi\) |
0.960088 | − | 0.279697i | \(-0.0902341\pi\) | |||||||
\(888\) | −0.542576 | − | 5.17810i | −0.0182077 | − | 0.173766i | ||||
\(889\) | −5.81053 | − | 10.0641i | −0.194879 | − | 0.337540i | ||||
\(890\) | −9.79241 | − | 8.65951i | −0.328242 | − | 0.290267i | ||||
\(891\) | −30.6867 | + | 6.39186i | −1.02804 | + | 0.214135i | ||||
\(892\) | −5.12906 | − | 41.6117i | −0.171734 | − | 1.39326i | ||||
\(893\) | −5.18947 | + | 2.99614i | −0.173659 | + | 0.100262i | ||||
\(894\) | −18.2454 | − | 0.332824i | −0.610217 | − | 0.0111313i | ||||
\(895\) | −32.9601 | + | 57.0886i | −1.10174 | + | 1.90826i | ||||
\(896\) | 8.71813 | − | 7.21070i | 0.291252 | − | 0.240893i | ||||
\(897\) | 32.6933 | − | 92.0245i | 1.09160 | − | 3.07261i | ||||
\(898\) | 0.0379635 | + | 0.00771451i | 0.00126686 | + | 0.000257436i | ||||
\(899\) | 18.6714i | 0.622726i | ||||||||
\(900\) | 30.3205 | + | 1.10655i | 1.01068 | + | 0.0368851i | ||||
\(901\) | 17.2347i | 0.574171i | ||||||||
\(902\) | −0.334474 | + | 1.64597i | −0.0111368 | + | 0.0548047i | ||||
\(903\) | −4.37574 | + | 0.806378i | −0.145615 | + | 0.0268346i | ||||
\(904\) | 0.905094 | − | 0.432488i | 0.0301030 | − | 0.0143843i | ||||
\(905\) | 15.1381 | − | 26.2199i | 0.503207 | − | 0.871580i | ||||
\(906\) | −2.84541 | − | 1.71274i | −0.0945325 | − | 0.0569021i | ||||
\(907\) | −13.6280 | + | 7.86813i | −0.452510 | + | 0.261257i | −0.708890 | − | 0.705319i | \(-0.750804\pi\) |
0.256379 | + | 0.966576i | \(0.417470\pi\) | |||||||
\(908\) | −2.33291 | + | 0.287554i | −0.0774203 | + | 0.00954282i | ||||
\(909\) | 13.9788 | + | 36.6393i | 0.463647 | + | 1.21525i | ||||
\(910\) | −21.1612 | + | 23.9297i | −0.701486 | + | 0.793260i | ||||
\(911\) | −9.51357 | − | 16.4780i | −0.315198 | − | 0.545940i | 0.664281 | − | 0.747483i | \(-0.268738\pi\) |
−0.979480 | + | 0.201543i | \(0.935404\pi\) | |||||||
\(912\) | −0.821247 | + | 8.52149i | −0.0271942 | + | 0.282175i | ||||
\(913\) | 17.6546 | − | 30.5787i | 0.584282 | − | 1.01201i | ||||
\(914\) | 8.29687 | + | 24.7774i | 0.274436 | + | 0.819565i | ||||
\(915\) | 23.4673 | − | 20.0016i | 0.775806 | − | 0.661233i | ||||
\(916\) | 15.4474 | + | 20.4794i | 0.510396 | + | 0.676659i | ||||
\(917\) | − | 17.3902i | − | 0.574273i | ||||||
\(918\) | 14.4388 | + | 40.0221i | 0.476553 | + | 1.32093i | ||||
\(919\) | −29.6782 | −0.978992 | −0.489496 | − | 0.872005i | \(-0.662819\pi\) | ||||
−0.489496 | + | 0.872005i | \(0.662819\pi\) | |||||||
\(920\) | 70.7889 | + | 5.52118i | 2.33384 | + | 0.182028i | ||||
\(921\) | −2.02529 | − | 2.37621i | −0.0667355 | − | 0.0782989i | ||||
\(922\) | −21.3241 | + | 7.14049i | −0.702271 | + | 0.235160i | ||||
\(923\) | 29.5983 | + | 17.0886i | 0.974239 | + | 0.562477i | ||||
\(924\) | 11.7774 | + | 2.61781i | 0.387447 | + | 0.0861195i | ||||
\(925\) | −4.65415 | + | 2.68708i | −0.153028 | + | 0.0883505i | ||||
\(926\) | −26.3046 | + | 29.7460i | −0.864424 | + | 0.977515i | ||||
\(927\) | 35.2465 | + | 28.6614i | 1.15765 | + | 0.941363i | ||||
\(928\) | −40.2550 | − | 20.8956i | −1.32144 | − | 0.685931i | ||||
\(929\) | −16.4321 | − | 28.4613i | −0.539121 | − | 0.933785i | −0.998952 | − | 0.0457785i | \(-0.985423\pi\) |
0.459830 | − | 0.888007i | \(-0.347910\pi\) | |||||||
\(930\) | 9.32904 | − | 15.4985i | 0.305911 | − | 0.508216i | ||||
\(931\) | −1.07012 | − | 0.617835i | −0.0350718 | − | 0.0202487i | ||||
\(932\) | 7.72001 | + | 3.27268i | 0.252877 | + | 0.107200i | ||||
\(933\) | −2.47680 | − | 13.4402i | −0.0810869 | − | 0.440011i | ||||
\(934\) | 7.89605 | − | 38.8569i | 0.258367 | − | 1.27144i | ||||
\(935\) | 63.9486 | 2.09134 | ||||||||
\(936\) | 57.9723 | − | 17.0878i | 1.89489 | − | 0.558533i | ||||
\(937\) | 47.3964 | 1.54837 | 0.774186 | − | 0.632959i | \(-0.218160\pi\) | ||||
0.774186 | + | 0.632959i | \(0.218160\pi\) | |||||||
\(938\) | −2.25202 | + | 11.0823i | −0.0735312 | + | 0.361851i | ||||
\(939\) | −36.0624 | − | 12.8118i | −1.17685 | − | 0.418097i | ||||
\(940\) | −12.0046 | + | 28.3179i | −0.391547 | + | 0.923629i | ||||
\(941\) | −3.77876 | − | 2.18167i | −0.123184 | − | 0.0711203i | 0.437142 | − | 0.899393i | \(-0.355991\pi\) |
−0.560326 | + | 0.828272i | \(0.689324\pi\) | |||||||
\(942\) | −19.8943 | − | 0.362902i | −0.648190 | − | 0.0118240i | ||||
\(943\) | 1.34971 | + | 2.33777i | 0.0439526 | + | 0.0761281i | ||||
\(944\) | −5.66499 | − | 22.6307i | −0.184380 | − | 0.736568i | ||||
\(945\) | 14.0763 | − | 8.56682i | 0.457903 | − | 0.278679i | ||||
\(946\) | 8.38180 | − | 9.47837i | 0.272516 | − | 0.308168i | ||||
\(947\) | −43.7474 | + | 25.2576i | −1.42160 | + | 0.820761i | −0.996436 | − | 0.0843556i | \(-0.973117\pi\) |
−0.425164 | + | 0.905116i | \(0.639783\pi\) | |||||||
\(948\) | 0.601371 | + | 0.551666i | 0.0195316 | + | 0.0179173i | ||||
\(949\) | 57.0534 | + | 32.9398i | 1.85203 | + | 1.06927i | ||||
\(950\) | 8.37941 | − | 2.80589i | 0.271864 | − | 0.0910352i | ||||
\(951\) | 18.0109 | − | 50.6966i | 0.584042 | − | 1.64395i | ||||
\(952\) | 1.27341 | − | 16.3268i | 0.0412713 | − | 0.529153i | ||||
\(953\) | 39.0711 | 1.26564 | 0.632818 | − | 0.774301i | \(-0.281898\pi\) | ||||
0.632818 | + | 0.774301i | \(0.281898\pi\) | |||||||
\(954\) | −11.8212 | − | 4.44412i | −0.382725 | − | 0.143884i | ||||
\(955\) | − | 15.5438i | − | 0.502984i | ||||||
\(956\) | 3.77366 | − | 2.84643i | 0.122049 | − | 0.0920601i | ||||
\(957\) | −8.76552 | − | 47.5653i | −0.283349 | − | 1.53757i | ||||
\(958\) | −0.383340 | − | 1.14479i | −0.0123851 | − | 0.0369865i | ||||
\(959\) | −1.80895 | + | 3.13320i | −0.0584142 | + | 0.101176i | ||||
\(960\) | 22.9740 | + | 37.4579i | 0.741484 | + | 1.20895i | ||||
\(961\) | 12.7884 | + | 22.1502i | 0.412530 | + | 0.714523i | ||||
\(962\) | −7.09164 | + | 8.01942i | −0.228644 | + | 0.258557i | ||||
\(963\) | 25.4708 | + | 4.08748i | 0.820786 | + | 0.131717i | ||||
\(964\) | −1.06827 | − | 8.66677i | −0.0344065 | − | 0.279138i | ||||
\(965\) | 15.0997 | − | 8.71784i | 0.486078 | − | 0.280637i | ||||
\(966\) | 16.9665 | − | 9.38724i | 0.545887 | − | 0.302030i | ||||
\(967\) | −5.36971 | + | 9.30061i | −0.172678 | + | 0.299088i | −0.939355 | − | 0.342945i | \(-0.888575\pi\) |
0.766677 | + | 0.642033i | \(0.221909\pi\) | |||||||
\(968\) | −2.88372 | + | 1.37795i | −0.0926863 | + | 0.0442890i | ||||
\(969\) | 8.03822 | + | 9.43102i | 0.258225 | + | 0.302968i | ||||
\(970\) | 4.13953 | − | 20.3709i | 0.132912 | − | 0.654069i | ||||
\(971\) | − | 27.0182i | − | 0.867054i | −0.901141 | − | 0.433527i | \(-0.857269\pi\) | ||
0.901141 | − | 0.433527i | \(-0.142731\pi\) | |||||||
\(972\) | −31.1741 | − | 0.416518i | −0.999911 | − | 0.0133598i | ||||
\(973\) | − | 3.51162i | − | 0.112578i | ||||||
\(974\) | 15.2978 | + | 3.10864i | 0.490173 | + | 0.0996073i | ||||
\(975\) | −40.4674 | − | 47.4793i | −1.29599 | − | 1.52055i | ||||
\(976\) | 21.5908 | + | 6.16917i | 0.691103 | + | 0.197470i | ||||
\(977\) | −11.5514 | + | 20.0076i | −0.369562 | + | 0.640101i | −0.989497 | − | 0.144552i | \(-0.953826\pi\) |
0.619935 | + | 0.784653i | \(0.287159\pi\) | |||||||
\(978\) | −15.5076 | − | 28.0285i | −0.495879 | − | 0.896251i | ||||
\(979\) | 8.79143 | − | 5.07574i | 0.280975 | − | 0.162221i | ||||
\(980\) | −6.29485 | + | 0.775902i | −0.201081 | + | 0.0247853i | ||||
\(981\) | −53.2335 | − | 8.54275i | −1.69961 | − | 0.272749i | ||||
\(982\) | −18.4157 | − | 16.2851i | −0.587668 | − | 0.519680i | ||||
\(983\) | −19.3217 | − | 33.4661i | −0.616265 | − | 1.06740i | −0.990161 | − | 0.139932i | \(-0.955312\pi\) |
0.373896 | − | 0.927471i | \(-0.378022\pi\) | |||||||
\(984\) | −0.679973 | + | 1.52594i | −0.0216767 | + | 0.0486451i | ||||
\(985\) | 25.9289 | − | 44.9101i | 0.826162 | − | 1.43095i | ||||
\(986\) | −62.2532 | + | 20.8458i | −1.98254 | + | 0.663866i | ||||
\(987\) | 1.52225 | + | 8.26035i | 0.0484537 | + | 0.262930i | ||||
\(988\) | 14.0531 | − | 10.6001i | 0.447090 | − | 0.337235i | ||||
\(989\) | − | 20.3353i | − | 0.646625i | ||||||
\(990\) | −16.4897 | + | 43.8621i | −0.524078 | + | 1.39403i | ||||
\(991\) | 23.6882 | 0.752479 | 0.376240 | − | 0.926522i | \(-0.377217\pi\) | ||||
0.376240 | + | 0.926522i | \(0.377217\pi\) | |||||||
\(992\) | 13.1602 | − | 0.590024i | 0.417838 | − | 0.0187333i | ||||
\(993\) | −5.38974 | + | 15.1710i | −0.171038 | + | 0.481436i | ||||
\(994\) | 2.15469 | + | 6.43468i | 0.0683426 | + | 0.204096i | ||||
\(995\) | 27.4285 | + | 15.8358i | 0.869541 | + | 0.502030i | ||||
\(996\) | 23.7407 | − | 25.8797i | 0.752254 | − | 0.820031i | ||||
\(997\) | −18.8111 | + | 10.8606i | −0.595755 | + | 0.343959i | −0.767370 | − | 0.641205i | \(-0.778435\pi\) |
0.171615 | + | 0.985164i | \(0.445101\pi\) | |||||||
\(998\) | −35.9032 | − | 31.7494i | −1.13649 | − | 1.00501i | ||||
\(999\) | 4.71732 | − | 2.87095i | 0.149250 | − | 0.0908330i |
(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 | 504.2.cs.a.85.3 | ✓ | 72 | |
8.5 | even | 2 | inner | 504.2.cs.a.85.22 | yes | 72 | |
9.7 | even | 3 | inner | 504.2.cs.a.421.22 | yes | 72 | |
72.61 | even | 6 | inner | 504.2.cs.a.421.3 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.cs.a.85.3 | ✓ | 72 | 1.1 | even | 1 | trivial | |
504.2.cs.a.85.22 | yes | 72 | 8.5 | even | 2 | inner | |
504.2.cs.a.421.3 | yes | 72 | 72.61 | even | 6 | inner | |
504.2.cs.a.421.22 | yes | 72 | 9.7 | even | 3 | inner |