Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(97,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.y (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 97.6 | ||
Character | \(\chi\) | \(=\) | 864.97 |
Dual form | 864.2.y.d.481.6 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.523054 | − | 1.65119i | 0.301985 | − | 0.953313i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.117882 | − | 0.0429055i | −0.0527184 | − | 0.0191879i | 0.315526 | − | 0.948917i | \(-0.397819\pi\) |
−0.368245 | + | 0.929729i | \(0.620041\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.455772 | + | 2.58481i | −0.172266 | + | 0.976967i | 0.768987 | + | 0.639264i | \(0.220761\pi\) |
−0.941253 | + | 0.337703i | \(0.890350\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.45283 | − | 1.72732i | −0.817610 | − | 0.575773i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.45559 | + | 1.25773i | −1.04190 | + | 0.379220i | −0.805600 | − | 0.592460i | \(-0.798157\pi\) |
−0.236299 | + | 0.971680i | \(0.575935\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.57220 | + | 2.99743i | −0.990751 | + | 0.831339i | −0.985676 | − | 0.168648i | \(-0.946060\pi\) |
−0.00507477 | + | 0.999987i | \(0.501615\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.132504 | + | 0.172203i | −0.0342123 | + | 0.0444626i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.83754 | − | 4.91477i | −0.688205 | − | 1.19201i | −0.972418 | − | 0.233245i | \(-0.925066\pi\) |
0.284213 | − | 0.958761i | \(-0.408268\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.93671 | + | 6.81859i | −0.903144 | + | 1.56429i | −0.0797544 | + | 0.996815i | \(0.525414\pi\) |
−0.823390 | + | 0.567477i | \(0.807920\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.02961 | + | 2.10456i | 0.879334 | + | 0.459253i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.231664 | + | 1.31383i | 0.0483052 | + | 0.273952i | 0.999388 | − | 0.0349841i | \(-0.0111381\pi\) |
−0.951083 | + | 0.308936i | \(0.900027\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.81817 | − | 3.20382i | −0.763633 | − | 0.640764i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.13509 | + | 3.14660i | −0.795798 | + | 0.605563i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.22400 | + | 1.86616i | 0.412986 | + | 0.346537i | 0.825487 | − | 0.564420i | \(-0.190900\pi\) |
−0.412501 | + | 0.910957i | \(0.635345\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.05452 | − | 5.98046i | −0.189397 | − | 1.07412i | −0.920175 | − | 0.391507i | \(-0.871954\pi\) |
0.730778 | − | 0.682615i | \(-0.239157\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.269289 | + | 6.36368i | 0.0468772 | + | 1.10777i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.164630 | − | 0.285147i | 0.0278275 | − | 0.0481987i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.35763 | − | 7.54764i | −0.716390 | − | 1.24082i | −0.962421 | − | 0.271562i | \(-0.912460\pi\) |
0.246031 | − | 0.969262i | \(-0.420873\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.08087 | + | 7.46619i | 0.493333 | + | 1.19555i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.50075 | − | 3.77658i | 0.702900 | − | 0.589803i | −0.219697 | − | 0.975568i | \(-0.570507\pi\) |
0.922597 | + | 0.385765i | \(0.126062\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.69227 | − | 0.979908i | 0.410568 | − | 0.149434i | −0.128475 | − | 0.991713i | \(-0.541008\pi\) |
0.539043 | + | 0.842278i | \(0.318786\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.215033 | + | 0.308859i | 0.0320552 | + | 0.0460420i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.997043 | + | 5.65451i | −0.145434 | + | 0.824795i | 0.821584 | + | 0.570087i | \(0.193091\pi\) |
−0.967018 | + | 0.254708i | \(0.918021\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.104320 | + | 0.0379694i | 0.0149029 | + | 0.00542420i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −9.59938 | + | 2.11462i | −1.34418 | + | 0.296106i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 11.4363 | 1.57090 | 0.785449 | − | 0.618927i | \(-0.212432\pi\) | ||||
0.785449 | + | 0.618927i | \(0.212432\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.461315 | 0.0622037 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 9.19964 | + | 10.0667i | 1.21852 | + | 1.33337i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −11.1792 | − | 4.06891i | −1.45541 | − | 0.529727i | −0.511315 | − | 0.859393i | \(-0.670841\pi\) |
−0.944097 | + | 0.329667i | \(0.893064\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.96285 | + | 11.1319i | −0.251318 | + | 1.42529i | 0.554033 | + | 0.832495i | \(0.313088\pi\) |
−0.805351 | + | 0.592799i | \(0.798023\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 5.58273 | − | 5.55284i | 0.703357 | − | 0.699592i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.549705 | − | 0.200076i | 0.0681825 | − | 0.0248164i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.89304 | + | 4.10575i | −0.597780 | + | 0.501597i | −0.890731 | − | 0.454531i | \(-0.849807\pi\) |
0.292951 | + | 0.956127i | \(0.405363\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.29055 | + | 0.304684i | 0.275750 | + | 0.0366796i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.759192 | + | 1.31496i | 0.0900995 | + | 0.156057i | 0.907553 | − | 0.419938i | \(-0.137948\pi\) |
−0.817453 | + | 0.575995i | \(0.804615\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.02736 | + | 1.77944i | −0.120243 | + | 0.208267i | −0.919863 | − | 0.392239i | \(-0.871701\pi\) |
0.799620 | + | 0.600506i | \(0.205034\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −7.28721 | + | 4.62873i | −0.841455 | + | 0.534480i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.67604 | − | 9.50529i | −0.191002 | − | 1.08323i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.69802 | + | 3.94211i | 0.528568 | + | 0.443522i | 0.867607 | − | 0.497251i | \(-0.165657\pi\) |
−0.339038 | + | 0.940773i | \(0.610102\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.03274 | + | 8.47363i | 0.336971 | + | 0.941515i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 5.85437 | + | 4.91240i | 0.642600 | + | 0.539206i | 0.904816 | − | 0.425804i | \(-0.140009\pi\) |
−0.262215 | + | 0.965009i | \(0.584453\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.123624 | + | 0.701108i | 0.0134089 | + | 0.0760459i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 4.24464 | − | 2.69613i | 0.455073 | − | 0.289056i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.62241 | − | 8.00624i | 0.489974 | − | 0.848660i | −0.509959 | − | 0.860199i | \(-0.670340\pi\) |
0.999933 | + | 0.0115384i | \(0.00367286\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.11970 | − | 10.5996i | −0.641519 | − | 1.11114i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −10.4264 | − | 1.38690i | −1.08117 | − | 0.143815i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.756622 | − | 0.634881i | 0.0776278 | − | 0.0651374i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.70296 | + | 1.71174i | −0.477514 | + | 0.173801i | −0.569553 | − | 0.821955i | \(-0.692884\pi\) |
0.0920394 | + | 0.995755i | \(0.470661\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 10.6485 | + | 2.88390i | 1.07021 | + | 0.289843i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.482279 | − | 2.73514i | 0.0479885 | − | 0.272157i | −0.951367 | − | 0.308061i | \(-0.900320\pi\) |
0.999355 | + | 0.0359042i | \(0.0114311\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.49064 | + | 1.63446i | 0.442476 | + | 0.161048i | 0.553644 | − | 0.832754i | \(-0.313237\pi\) |
−0.111168 | + | 0.993802i | \(0.535459\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.384721 | − | 0.420982i | −0.0375449 | − | 0.0410837i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 8.29504 | 0.801912 | 0.400956 | − | 0.916097i | \(-0.368678\pi\) | ||||
0.400956 | + | 0.916097i | \(0.368678\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.97414 | −0.955350 | −0.477675 | − | 0.878537i | \(-0.658520\pi\) | ||||
−0.477675 | + | 0.878537i | \(0.658520\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −14.7418 | + | 3.24744i | −1.39923 | + | 0.308233i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.92458 | − | 2.15637i | −0.557338 | − | 0.202854i | 0.0479658 | − | 0.998849i | \(-0.484726\pi\) |
−0.605304 | + | 0.795995i | \(0.706948\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.0290616 | − | 0.164816i | 0.00271000 | − | 0.0153692i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 13.9395 | − | 1.18186i | 1.28871 | − | 0.109263i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 13.9970 | − | 5.09450i | 1.28311 | − | 0.467012i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.93272 | − | 1.62174i | 0.175702 | − | 0.147431i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −3.88170 | − | 9.40694i | −0.350001 | − | 0.848195i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.626249 | + | 1.08470i | 0.0560134 | + | 0.0970181i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.28090 | + | 2.21858i | −0.113661 | + | 0.196867i | −0.917244 | − | 0.398326i | \(-0.869591\pi\) |
0.803583 | + | 0.595193i | \(0.202925\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.209805 | − | 4.95799i | −0.0184723 | − | 0.436527i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.82308 | + | 10.3392i | 0.159284 | + | 0.903342i | 0.954764 | + | 0.297364i | \(0.0961073\pi\) |
−0.795481 | + | 0.605979i | \(0.792782\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −15.8305 | − | 13.2834i | −1.37268 | − | 1.15182i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.622458 | − | 0.193509i | 0.0535727 | − | 0.0166546i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −6.76805 | − | 5.67906i | −0.578233 | − | 0.485195i | 0.306133 | − | 0.951989i | \(-0.400965\pi\) |
−0.884366 | + | 0.466793i | \(0.845409\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.60077 | − | 14.7497i | −0.220594 | − | 1.25105i | −0.870931 | − | 0.491406i | \(-0.836483\pi\) |
0.650337 | − | 0.759646i | \(-0.274628\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 8.81514 | + | 4.60392i | 0.742369 | + | 0.387720i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 8.57410 | − | 14.8508i | 0.717002 | − | 1.24188i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.182101 | − | 0.315408i | −0.0151226 | − | 0.0261932i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.117260 | − | 0.152392i | 0.00967140 | − | 0.0125691i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.793694 | + | 0.665988i | −0.0650220 | + | 0.0545599i | −0.674719 | − | 0.738074i | \(-0.735735\pi\) |
0.609697 | + | 0.792634i | \(0.291291\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.53909 | − | 0.924153i | 0.206628 | − | 0.0752065i | −0.236633 | − | 0.971599i | \(-0.576044\pi\) |
0.443261 | + | 0.896393i | \(0.353822\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.52936 | + | 16.9564i | −0.123642 | + | 1.37085i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.132286 | + | 0.750232i | −0.0106255 | + | 0.0602601i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −14.8884 | − | 5.41894i | −1.18822 | − | 0.432478i | −0.329125 | − | 0.944286i | \(-0.606754\pi\) |
−0.859100 | + | 0.511808i | \(0.828976\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 5.98180 | − | 18.8835i | 0.474388 | − | 1.49756i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.50159 | −0.275964 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −9.96542 | −0.780552 | −0.390276 | − | 0.920698i | \(-0.627620\pi\) | ||||
−0.390276 | + | 0.920698i | \(0.627620\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.241293 | − | 0.761717i | 0.0187846 | − | 0.0592996i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −19.7675 | − | 7.19478i | −1.52966 | − | 0.556749i | −0.566118 | − | 0.824324i | \(-0.691555\pi\) |
−0.963537 | + | 0.267575i | \(0.913778\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.51860 | − | 8.61240i | 0.116815 | − | 0.662492i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 21.4340 | − | 9.92487i | 1.63910 | − | 0.758974i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 21.2829 | − | 7.74634i | 1.61811 | − | 0.588943i | 0.635088 | − | 0.772440i | \(-0.280964\pi\) |
0.983020 | + | 0.183496i | \(0.0587416\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 10.0215 | − | 8.40903i | 0.757554 | − | 0.635663i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −12.5659 | + | 16.3307i | −0.944508 | + | 1.22749i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −10.8603 | − | 18.8105i | −0.811734 | − | 1.40597i | −0.911649 | − | 0.410969i | \(-0.865190\pi\) |
0.0999149 | − | 0.994996i | \(-0.468143\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.0198 | + | 20.8189i | −0.893427 | + | 1.54746i | −0.0576866 | + | 0.998335i | \(0.518372\pi\) |
−0.835740 | + | 0.549125i | \(0.814961\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 17.3542 | + | 9.06362i | 1.28286 | + | 0.670002i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.189851 | + | 1.07670i | 0.0139581 | + | 0.0791603i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 15.9868 | + | 13.4146i | 1.16907 | + | 0.980969i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −6.24870 | − | 12.1226i | −0.454526 | − | 0.881786i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.5068 | + | 10.4945i | 0.904962 | + | 0.759353i | 0.971154 | − | 0.238454i | \(-0.0766405\pi\) |
−0.0661920 | + | 0.997807i | \(0.521085\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.38739 | − | 7.86827i | −0.0998664 | − | 0.566370i | −0.993147 | − | 0.116871i | \(-0.962714\pi\) |
0.893281 | − | 0.449499i | \(-0.148398\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.0428377 | − | 1.01231i | −0.00306767 | − | 0.0724934i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.90861 | + | 5.03786i | −0.207230 | + | 0.358933i | −0.950841 | − | 0.309680i | \(-0.899778\pi\) |
0.743611 | + | 0.668613i | \(0.233111\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.0439 | + | 22.5927i | 0.924659 | + | 1.60156i | 0.792109 | + | 0.610380i | \(0.208983\pi\) |
0.132550 | + | 0.991176i | \(0.457684\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.22003 | + | 10.2268i | 0.297658 | + | 0.721346i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −5.83730 | + | 4.89808i | −0.409698 | + | 0.343778i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.692594 | + | 0.252083i | −0.0483728 | + | 0.0176063i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.70117 | − | 3.62275i | 0.118240 | − | 0.251799i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 5.02771 | − | 28.5136i | 0.347774 | − | 1.97232i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.63350 | + | 2.77837i | 0.525512 | + | 0.191271i | 0.591133 | − | 0.806574i | \(-0.298681\pi\) |
−0.0656213 | + | 0.997845i | \(0.520903\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.56834 | − | 0.565772i | 0.175980 | − | 0.0387661i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.359414 | −0.0245118 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 15.9390 | 1.08201 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 2.40082 | + | 2.62710i | 0.162232 | + | 0.177523i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 24.8680 | + | 9.05120i | 1.67280 | + | 0.608850i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.277312 | − | 1.57271i | 0.0185702 | − | 0.105317i | −0.974114 | − | 0.226058i | \(-0.927416\pi\) |
0.992684 | + | 0.120741i | \(0.0385272\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.83129 | + | 14.4536i | 0.255419 | + | 0.963575i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −15.8536 | + | 5.77025i | −1.05224 | + | 0.382985i | −0.809508 | − | 0.587108i | \(-0.800266\pi\) |
−0.242734 | + | 0.970093i | \(0.578044\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.62459 | + | 5.55869i | −0.437765 | + | 0.367329i | −0.834872 | − | 0.550444i | \(-0.814459\pi\) |
0.397107 | + | 0.917772i | \(0.370014\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −16.5717 | − | 2.20433i | −1.09034 | − | 0.145034i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.48885 | − | 2.57876i | −0.0975375 | − | 0.168940i | 0.813127 | − | 0.582086i | \(-0.197763\pi\) |
−0.910665 | + | 0.413146i | \(0.864430\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.360143 | − | 0.623786i | 0.0234931 | − | 0.0406913i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 8.96647 | − | 5.69537i | 0.582435 | − | 0.369954i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −4.73071 | − | 26.8292i | −0.306004 | − | 1.73543i | −0.618741 | − | 0.785595i | \(-0.712357\pi\) |
0.312737 | − | 0.949840i | \(-0.398754\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.9225 | + | 12.5215i | 0.961245 | + | 0.806580i | 0.981155 | − | 0.193222i | \(-0.0618937\pi\) |
−0.0199104 | + | 0.999802i | \(0.506338\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.5778 | − | 0.575450i | 0.999318 | − | 0.0369152i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.0106683 | − | 0.00895180i | −0.000681576 | − | 0.000571910i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −6.37553 | − | 36.1574i | −0.405665 | − | 2.30064i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 11.1734 | − | 7.09720i | 0.708087 | − | 0.449767i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 12.9577 | − | 22.4434i | 0.817882 | − | 1.41661i | −0.0893580 | − | 0.996000i | \(-0.528482\pi\) |
0.907240 | − | 0.420614i | \(-0.138185\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.45298 | − | 4.24868i | −0.154217 | − | 0.267112i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.22232 | + | 0.162591i | 0.0765448 | + | 0.0101818i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 5.14225 | − | 4.31486i | 0.320765 | − | 0.269153i | −0.468160 | − | 0.883644i | \(-0.655083\pi\) |
0.788924 | + | 0.614490i | \(0.210638\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 21.4953 | − | 7.82365i | 1.33565 | − | 0.486138i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.23164 | − | 8.41892i | −0.138135 | − | 0.521118i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −3.68337 | + | 20.8894i | −0.227126 | + | 1.28810i | 0.631453 | + | 0.775414i | \(0.282459\pi\) |
−0.858579 | + | 0.512682i | \(0.828652\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.34813 | − | 0.490680i | −0.0828152 | − | 0.0301423i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −10.8020 | − | 11.8202i | −0.661073 | − | 0.723381i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −16.8927 | −1.02997 | −0.514985 | − | 0.857199i | \(-0.672202\pi\) | ||||
−0.514985 | + | 0.857199i | \(0.672202\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −32.3213 | −1.96338 | −0.981690 | − | 0.190484i | \(-0.938994\pi\) | ||||
−0.981690 | + | 0.190484i | \(0.938994\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −20.7029 | + | 4.56058i | −1.25300 | + | 0.276019i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 17.2236 | + | 6.26887i | 1.03862 | + | 0.378027i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.54560 | − | 8.76555i | 0.0928662 | − | 0.526671i | −0.902514 | − | 0.430660i | \(-0.858281\pi\) |
0.995380 | − | 0.0960103i | \(-0.0306082\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −7.74361 | + | 16.4905i | −0.463598 | + | 0.987262i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −23.0981 | + | 8.40702i | −1.37792 | + | 0.501521i | −0.921546 | − | 0.388268i | \(-0.873073\pi\) |
−0.456371 | + | 0.889789i | \(0.650851\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.17943 | − | 1.82876i | 0.129554 | − | 0.108709i | −0.575708 | − | 0.817655i | \(-0.695274\pi\) |
0.705262 | + | 0.708946i | \(0.250829\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.652553 | − | 1.58140i | −0.0386539 | − | 0.0936741i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 7.71044 | + | 13.3549i | 0.455133 | + | 0.788313i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −7.60329 | + | 13.1693i | −0.447252 | + | 0.774664i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.366495 | + | 8.66080i | 0.0214843 | + | 0.507705i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 2.77310 | + | 15.7270i | 0.162006 | + | 0.918783i | 0.952098 | + | 0.305794i | \(0.0989219\pi\) |
−0.790091 | + | 0.612989i | \(0.789967\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.14325 | + | 0.959301i | 0.0665626 | + | 0.0558527i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 10.3316 | − | 16.0742i | 0.599499 | − | 0.932718i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −4.76567 | − | 3.99887i | −0.275606 | − | 0.231261i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.30581 | + | 7.40564i | 0.0752659 | + | 0.426854i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −4.26397 | − | 2.22696i | −0.244958 | − | 0.127935i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.709005 | − | 1.22803i | 0.0405975 | − | 0.0703169i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.0866822 | + | 0.150138i | 0.00494721 | + | 0.00856882i | 0.868488 | − | 0.495709i | \(-0.165092\pi\) |
−0.863541 | + | 0.504278i | \(0.831759\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.04764 | − | 6.55997i | 0.287150 | − | 0.373184i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −5.47840 | + | 4.59693i | −0.310652 | + | 0.260668i | −0.784761 | − | 0.619798i | \(-0.787215\pi\) |
0.474110 | + | 0.880466i | \(0.342770\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.8880 | − | 3.96291i | 0.615427 | − | 0.223997i | −0.0154491 | − | 0.999881i | \(-0.504918\pi\) |
0.630876 | + | 0.775883i | \(0.282696\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.896350 | + | 0.415050i | −0.0505036 | + | 0.0233854i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −3.23751 | + | 18.3609i | −0.181837 | + | 1.03125i | 0.748115 | + | 0.663569i | \(0.230959\pi\) |
−0.929952 | + | 0.367680i | \(0.880152\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −10.0324 | − | 3.65148i | −0.561704 | − | 0.204443i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.33875 | − | 13.6967i | 0.242166 | − | 0.764473i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 44.6824 | 2.48619 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 23.2425 | 1.28926 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −5.21702 | + | 16.4692i | −0.288502 | + | 0.910747i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −14.1614 | − | 5.15434i | −0.780745 | − | 0.284168i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.18216 | + | 6.70438i | −0.0649776 | + | 0.368506i | 0.934929 | + | 0.354835i | \(0.115463\pi\) |
−0.999907 | + | 0.0136713i | \(0.995648\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2.34865 | + | 26.0401i | −0.128705 | + | 1.42699i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0.752960 | − | 0.274055i | 0.0411386 | − | 0.0149732i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.9514 | − | 9.18930i | 0.596559 | − | 0.500573i | −0.293778 | − | 0.955874i | \(-0.594913\pi\) |
0.890338 | + | 0.455301i | \(0.150468\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −6.65945 | + | 8.65469i | −0.361692 | + | 0.470058i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 11.1658 | + | 19.3397i | 0.604661 | + | 1.04730i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.33210 | + | 16.1637i | −0.503886 | + | 0.872756i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.256942 | − | 0.134194i | −0.0138333 | − | 0.00722475i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.57751 | − | 8.94648i | −0.0846850 | − | 0.480272i | −0.997424 | − | 0.0717295i | \(-0.977148\pi\) |
0.912739 | − | 0.408543i | \(-0.133963\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 23.3195 | + | 19.5674i | 1.24826 | + | 1.04742i | 0.996832 | + | 0.0795420i | \(0.0253458\pi\) |
0.251432 | + | 0.967875i | \(0.419099\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.33965 | − | 23.6349i | 0.285010 | − | 1.26154i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 14.5816 | + | 12.2355i | 0.776103 | + | 0.651227i | 0.942264 | − | 0.334871i | \(-0.108693\pi\) |
−0.166161 | + | 0.986099i | \(0.553137\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.0330760 | − | 0.187583i | −0.00175549 | − | 0.00995589i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −1.09077 | − | 25.7764i | −0.0577295 | − | 1.36423i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −6.58484 | + | 11.4053i | −0.347534 | + | 0.601947i | −0.985811 | − | 0.167860i | \(-0.946314\pi\) |
0.638276 | + | 0.769807i | \(0.279648\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −21.4954 | − | 37.2312i | −1.13134 | − | 1.95953i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.66689 | − | 4.03954i | −0.0874888 | − | 0.212021i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.197454 | − | 0.165684i | 0.0103352 | − | 0.00867229i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.36806 | + | 1.22587i | −0.175811 | + | 0.0639900i | −0.428426 | − | 0.903577i | \(-0.640932\pi\) |
0.252615 | + | 0.967567i | \(0.418709\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −17.5629 | + | 1.48907i | −0.914290 | + | 0.0775180i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −5.21235 | + | 29.5607i | −0.270612 | + | 1.53472i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.51431 | − | 1.27911i | −0.181964 | − | 0.0662296i | 0.249431 | − | 0.968393i | \(-0.419756\pi\) |
−0.431395 | + | 0.902163i | \(0.641979\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.11860 | − | 0.466700i | 0.109404 | − | 0.0241003i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −13.5383 | −0.697256 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −21.1965 | −1.08879 | −0.544396 | − | 0.838829i | \(-0.683241\pi\) | ||||
−0.544396 | + | 0.838829i | \(0.683241\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.99331 | + | 3.27544i | 0.153352 | + | 0.167806i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −30.2931 | − | 11.0258i | −1.54791 | − | 0.563392i | −0.579981 | − | 0.814630i | \(-0.696940\pi\) |
−0.967925 | + | 0.251238i | \(0.919162\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.210255 | + | 1.19241i | −0.0107156 | + | 0.0607710i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −8.29630 | − | 2.24687i | −0.421725 | − | 0.114215i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −8.45310 | + | 3.07668i | −0.428589 | + | 0.155994i | −0.547302 | − | 0.836935i | \(-0.684345\pi\) |
0.118713 | + | 0.992929i | \(0.462123\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.79981 | − | 4.86662i | 0.293309 | − | 0.246115i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 18.0256 | + | 2.39772i | 0.909269 | + | 0.120949i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.384673 | − | 0.666274i | −0.0193550 | − | 0.0335239i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.88536 | + | 4.99759i | −0.144812 | + | 0.250822i | −0.929303 | − | 0.369319i | \(-0.879591\pi\) |
0.784491 | + | 0.620140i | \(0.212924\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −30.2136 | + | 19.1912i | −1.51257 | + | 0.960762i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3.00980 | − | 17.0694i | −0.150302 | − | 0.852405i | −0.962956 | − | 0.269659i | \(-0.913089\pi\) |
0.812654 | − | 0.582747i | \(-0.198022\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 21.6930 | + | 18.2026i | 1.08060 | + | 0.906734i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.00606030 | − | 1.12901i | 0.000301138 | − | 0.0561009i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 24.5511 | + | 20.6008i | 1.21695 | + | 1.02114i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.738521 | + | 4.18836i | 0.0365175 | + | 0.207101i | 0.997607 | − | 0.0691351i | \(-0.0220239\pi\) |
−0.961090 | + | 0.276236i | \(0.910913\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −12.9172 | + | 8.20484i | −0.637161 | + | 0.404715i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 15.6126 | − | 27.0417i | 0.768243 | − | 1.33064i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.479355 | − | 0.830267i | −0.0235306 | − | 0.0407562i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −25.7148 | − | 3.42053i | −1.25926 | − | 0.167504i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −25.5356 | + | 21.4269i | −1.24749 | + | 1.04677i | −0.250595 | + | 0.968092i | \(0.580626\pi\) |
−0.996900 | + | 0.0786806i | \(0.974929\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −26.0334 | + | 9.47538i | −1.26879 | + | 0.461802i | −0.886709 | − | 0.462327i | \(-0.847014\pi\) |
−0.382080 | + | 0.924129i | \(0.624792\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 12.2127 | − | 12.1473i | 0.593803 | − | 0.590624i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −4.91183 | + | 27.8564i | −0.238259 | + | 1.35123i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −27.8793 | − | 10.1472i | −1.34917 | − | 0.491058i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −20.0367 | − | 21.9252i | −0.967380 | − | 1.05856i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −36.9630 | −1.78045 | −0.890223 | − | 0.455525i | \(-0.849452\pi\) | ||||
−0.890223 | + | 0.455525i | \(0.849452\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 22.1282 | 1.06341 | 0.531706 | − | 0.846929i | \(-0.321551\pi\) | ||||
0.531706 | + | 0.846929i | \(0.321551\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.616046 | + | 0.135707i | −0.0295371 | + | 0.00650665i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −9.87045 | − | 3.59255i | −0.472168 | − | 0.171855i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.49575 | + | 31.1679i | −0.262298 | + | 1.48756i | 0.514323 | + | 0.857597i | \(0.328043\pi\) |
−0.776621 | + | 0.629968i | \(0.783068\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.190294 | − | 0.273326i | −0.00906162 | − | 0.0130155i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 17.9064 | − | 6.51739i | 0.850757 | − | 0.309650i | 0.120408 | − | 0.992724i | \(-0.461580\pi\) |
0.730349 | + | 0.683074i | \(0.239357\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.888410 | + | 0.745465i | −0.0421147 | + | 0.0353384i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.684526 | + | 1.65888i | 0.0323770 | + | 0.0784625i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 0.914818 | + | 1.58451i | 0.0431729 | + | 0.0747777i | 0.886804 | − | 0.462145i | \(-0.152920\pi\) |
−0.843631 | + | 0.536923i | \(0.819587\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.8028 | + | 18.7111i | −0.508686 | + | 0.881069i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.197867 | − | 4.67589i | −0.00929662 | − | 0.219692i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.266619 | + | 1.51207i | 0.0124993 | + | 0.0708871i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 4.83748 | + | 4.05913i | 0.226288 | + | 0.189878i | 0.748882 | − | 0.662704i | \(-0.230591\pi\) |
−0.522594 | + | 0.852582i | \(0.675036\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 27.1983 | + | 11.3944i | 1.26951 | + | 0.531844i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −17.6337 | − | 14.7965i | −0.821284 | − | 0.689139i | 0.131988 | − | 0.991251i | \(-0.457864\pi\) |
−0.953272 | + | 0.302112i | \(0.902308\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.792160 | − | 4.49256i | −0.0368148 | − | 0.208787i | 0.960852 | − | 0.277063i | \(-0.0893612\pi\) |
−0.997666 | + | 0.0682762i | \(0.978250\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.16958 | + | 0.610841i | 0.0542380 | + | 0.0283271i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 9.33506 | − | 16.1688i | 0.431975 | − | 0.748203i | −0.565068 | − | 0.825044i | \(-0.691150\pi\) |
0.997043 | + | 0.0768415i | \(0.0244836\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.38247 | − | 14.5189i | −0.387067 | − | 0.670419i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −16.7351 | + | 21.7491i | −0.771114 | + | 1.00215i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −8.07093 | + | 6.77232i | −0.371102 | + | 0.311391i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 36.8766 | − | 13.4220i | 1.69201 | − | 0.615842i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −28.0513 | − | 19.7541i | −1.28438 | − | 0.904480i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 3.27407 | − | 18.5682i | 0.149596 | − | 0.848402i | −0.813965 | − | 0.580914i | \(-0.802695\pi\) |
0.963561 | − | 0.267488i | \(-0.0861935\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 38.1899 | + | 13.9000i | 1.74131 | + | 0.633785i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.83152 | + | 5.78177i | −0.0833370 | + | 0.263080i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0.627837 | 0.0285086 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.06379 | 0.320091 | 0.160046 | − | 0.987110i | \(-0.448836\pi\) | ||||
0.160046 | + | 0.987110i | \(0.448836\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −5.21245 | + | 16.4548i | −0.235715 | + | 0.744110i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −12.8004 | − | 4.65896i | −0.577673 | − | 0.210256i | 0.0366260 | − | 0.999329i | \(-0.488339\pi\) |
−0.614299 | + | 0.789073i | \(0.710561\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.86103 | − | 16.2257i | 0.128855 | − | 0.730770i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.13153 | − | 0.796838i | −0.0508584 | − | 0.0358152i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.74494 | + | 1.36305i | −0.167984 | + | 0.0611410i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.61381 | − | 1.35415i | 0.0722441 | − | 0.0606200i | −0.605951 | − | 0.795502i | \(-0.707207\pi\) |
0.678195 | + | 0.734882i | \(0.262763\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −22.2194 | + | 28.8766i | −0.992689 | + | 1.29011i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −6.75516 | − | 11.7003i | −0.301198 | − | 0.521689i | 0.675210 | − | 0.737626i | \(-0.264053\pi\) |
−0.976407 | + | 0.215936i | \(0.930720\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.174204 | + | 0.301731i | −0.00775200 | + | 0.0134269i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −13.4264 | − | 7.01223i | −0.596285 | − | 0.311424i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 3.85780 | + | 21.8787i | 0.170994 | + | 0.969756i | 0.942667 | + | 0.333736i | \(0.108309\pi\) |
−0.771672 | + | 0.636020i | \(0.780580\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.13127 | − | 3.46654i | −0.182756 | − | 0.153351i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −5.17669 | − | 40.5827i | −0.228556 | − | 1.79177i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −0.459238 | − | 0.385346i | −0.0202364 | − | 0.0169804i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.66649 | − | 20.7937i | −0.161252 | − | 0.914505i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.65854 | − | 39.1938i | −0.0728020 | − | 1.72042i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −21.8341 | + | 37.8178i | −0.956570 | + | 1.65683i | −0.225836 | + | 0.974165i | \(0.572511\pi\) |
−0.730734 | + | 0.682663i | \(0.760822\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.7312 | − | 22.0511i | −0.556698 | − | 0.964229i | −0.997769 | − | 0.0667568i | \(-0.978735\pi\) |
0.441072 | − | 0.897472i | \(-0.354598\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −8.64309 | − | 20.9457i | −0.377216 | − | 0.914147i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −26.4003 | + | 22.1525i | −1.15002 | + | 0.964978i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.9405 | − | 7.25773i | 0.866976 | − | 0.315554i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 20.3924 | + | 29.2904i | 0.884957 | + | 1.27110i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.75756 | + | 26.9814i | −0.206073 | + | 1.16870i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.977835 | − | 0.355903i | −0.0422755 | − | 0.0153870i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −36.7402 | + | 8.09339i | −1.58546 | + | 0.349256i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −0.408242 | −0.0175842 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 33.2229 | 1.42836 | 0.714182 | − | 0.699960i | \(-0.246799\pi\) | ||||
0.714182 | + | 0.699960i | \(0.246799\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 28.0889 | + | 30.7364i | 1.20541 | + | 1.31903i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.17577 | + | 0.427946i | 0.0503645 | + | 0.0183312i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.77507 | − | 10.0669i | 0.0758963 | − | 0.430429i | −0.923056 | − | 0.384666i | \(-0.874317\pi\) |
0.998952 | − | 0.0457638i | \(-0.0145722\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 24.0429 | − | 23.9142i | 1.02613 | − | 1.02063i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −21.4798 | + | 7.81801i | −0.915070 | + | 0.333058i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −12.3308 | + | 10.3468i | −0.524360 | + | 0.439991i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.87713 | + | 0.249692i | 0.0796796 | + | 0.0105988i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −6.32377 | − | 10.9531i | −0.267947 | − | 0.464097i | 0.700385 | − | 0.713766i | \(-0.253012\pi\) |
−0.968331 | + | 0.249668i | \(0.919678\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −6.68014 | + | 11.5703i | −0.282540 | + | 0.489373i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 30.5119 | − | 19.3807i | 1.28821 | − | 0.818254i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 0.446820 | + | 2.53404i | 0.0188312 | + | 0.106797i | 0.992775 | − | 0.119994i | \(-0.0382876\pi\) |
−0.973943 | + | 0.226791i | \(0.927176\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.605881 | + | 0.508394i | 0.0254896 | + | 0.0213883i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −23.2850 | + | 3.97702i | −0.977878 | + | 0.167019i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 11.5057 | + | 9.65440i | 0.482343 | + | 0.404733i | 0.851273 | − | 0.524724i | \(-0.175831\pi\) |
−0.368930 | + | 0.929457i | \(0.620276\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.05115 | + | 45.6603i | 0.336930 | + | 1.91082i | 0.407282 | + | 0.913303i | \(0.366477\pi\) |
−0.0703518 | + | 0.997522i | \(0.522412\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 23.8701 | − | 15.1619i | 0.997186 | − | 0.633398i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 3.32475 | − | 5.75863i | 0.138651 | − | 0.240151i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.3387 | + | 19.6392i | 0.472037 | + | 0.817591i | 0.999488 | − | 0.0319938i | \(-0.0101857\pi\) |
−0.527451 | + | 0.849585i | \(0.676852\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −13.7177 | − | 1.82469i | −0.570086 | − | 0.0758317i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −15.3659 | + | 12.8935i | −0.637484 | + | 0.534913i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −39.5192 | + | 14.3838i | −1.63672 | + | 0.595716i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.69393 | − | 0.458762i | −0.0700352 | − | 0.0189675i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −2.44425 | + | 13.8620i | −0.100885 | + | 0.572148i | 0.891899 | + | 0.452234i | \(0.149373\pi\) |
−0.992784 | + | 0.119914i | \(0.961738\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 44.9296 | + | 16.3530i | 1.85129 | + | 0.673815i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.79709 | + | 7.43773i | 0.279595 | + | 0.305947i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 20.7559 | 0.852342 | 0.426171 | − | 0.904643i | \(-0.359862\pi\) | ||||
0.426171 | + | 0.904643i | \(0.359862\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.86858 | −0.0766042 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 44.1275 | − | 9.72072i | 1.80602 | − | 0.397842i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 20.5730 | + | 7.48796i | 0.840590 | + | 0.305950i | 0.726198 | − | 0.687486i | \(-0.241286\pi\) |
0.114392 | + | 0.993436i | \(0.463508\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.604738 | + | 3.42964i | −0.0246678 | + | 0.139898i | −0.994654 | − | 0.103261i | \(-0.967072\pi\) |
0.969987 | + | 0.243159i | \(0.0781836\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 19.0937 | − | 1.61886i | 0.777556 | − | 0.0659250i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −0.297415 | + | 0.108250i | −0.0120916 | + | 0.00440099i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 25.1901 | − | 21.1370i | 1.02243 | − | 0.857925i | 0.0325032 | − | 0.999472i | \(-0.489652\pi\) |
0.989932 | + | 0.141547i | \(0.0452076\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 5.03441 | + | 12.2004i | 0.204005 | + | 0.494386i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −13.3874 | − | 23.1876i | −0.541596 | − | 0.938072i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.84685 | + | 6.66293i | −0.155373 | + | 0.269113i | −0.933195 | − | 0.359371i | \(-0.882991\pi\) |
0.777822 | + | 0.628485i | \(0.216324\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.0539728 | + | 1.27545i | 0.00217639 | + | 0.0514313i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 2.72419 | + | 15.4496i | 0.109672 | + | 0.621979i | 0.989251 | + | 0.146227i | \(0.0467130\pi\) |
−0.879579 | + | 0.475752i | \(0.842176\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.0947545 | − | 0.0795085i | −0.00380851 | − | 0.00319572i | 0.640881 | − | 0.767640i | \(-0.278569\pi\) |
−0.644690 | + | 0.764444i | \(0.723013\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −5.09204 | − | 4.70384i | −0.204336 | − | 0.188759i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 18.5879 | + | 15.5971i | 0.744708 | + | 0.624884i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.30026 | + | 24.3880i | 0.172010 | + | 0.975519i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −44.4514 | − | 23.2158i | −1.77522 | − | 0.927150i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −24.7299 | + | 42.8335i | −0.986046 | + | 1.70788i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.58465 | + | 4.47675i | 0.102893 | + | 0.178216i | 0.912876 | − | 0.408238i | \(-0.133857\pi\) |
−0.809982 | + | 0.586454i | \(0.800523\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 8.58034 | − | 11.1511i | 0.341038 | − | 0.443216i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.246184 | − | 0.206573i | 0.00976951 | − | 0.00819759i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.486463 | + | 0.177058i | −0.0192744 | + | 0.00701530i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.409185 | − | 4.53673i | 0.0161871 | − | 0.179470i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 5.97504 | − | 33.8862i | 0.236000 | − | 1.33842i | −0.604497 | − | 0.796607i | \(-0.706626\pi\) |
0.840497 | − | 0.541816i | \(-0.182263\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 15.4892 | + | 5.63762i | 0.610835 | + | 0.222326i | 0.628869 | − | 0.777512i | \(-0.283518\pi\) |
−0.0180334 | + | 0.999837i | \(0.505741\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.187993 | + | 0.593459i | −0.00740221 | + | 0.0233674i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 29.2900 | 1.15151 | 0.575754 | − | 0.817623i | \(-0.304708\pi\) | ||||
0.575754 | + | 0.817623i | \(0.304708\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 43.7484 | 1.71728 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 8.33695 | − | 26.3182i | 0.326751 | − | 1.03149i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −22.1954 | − | 8.07847i | −0.868573 | − | 0.316135i | −0.130984 | − | 0.991384i | \(-0.541814\pi\) |
−0.737589 | + | 0.675250i | \(0.764036\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.228701 | − | 1.29703i | 0.00893609 | − | 0.0506791i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 5.59358 | − | 2.59008i | 0.218227 | − | 0.101049i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −22.1475 | + | 8.06105i | −0.862746 | + | 0.314014i | −0.735226 | − | 0.677822i | \(-0.762924\pi\) |
−0.127520 | + | 0.991836i | \(0.540702\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 29.6781 | − | 24.9029i | 1.15435 | − | 0.968611i | 0.154533 | − | 0.987988i | \(-0.450613\pi\) |
0.999812 | + | 0.0193771i | \(0.00616831\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 27.9525 | − | 36.3274i | 1.08559 | − | 1.41084i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 1.29620 | + | 2.24509i | 0.0502646 | + | 0.0870608i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.93659 | + | 3.35427i | −0.0749851 | + | 0.129878i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −2.45179 | − | 1.28051i | −0.0947918 | − | 0.0495073i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −7.21812 | − | 40.9360i | −0.278653 | − | 1.58032i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −19.8822 | − | 16.6832i | −0.766403 | − | 0.643088i | 0.173382 | − | 0.984855i | \(-0.444530\pi\) |
−0.939785 | + | 0.341766i | \(0.888975\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 25.8696 | + | 1.23385i | 0.995721 | + | 0.0474911i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 10.7443 | + | 9.01554i | 0.412937 | + | 0.346495i | 0.825469 | − | 0.564448i | \(-0.190911\pi\) |
−0.412532 | + | 0.910943i | \(0.635355\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.28104 | − | 12.9364i | −0.0875384 | − | 0.496455i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.23545 | + | 29.1954i | 0.0473425 | + | 1.11877i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 3.03884 | − | 5.26342i | 0.116278 | − | 0.201399i | −0.802012 | − | 0.597308i | \(-0.796237\pi\) |
0.918290 | + | 0.395909i | \(0.129570\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.554167 | + | 0.959845i | 0.0211736 | + | 0.0366738i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 5.71342 | + | 13.8459i | 0.217980 | + | 0.528255i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −40.8528 | + | 34.2796i | −1.55637 | + | 1.30595i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −19.7802 | + | 7.19942i | −0.752476 | + | 0.273879i | −0.689647 | − | 0.724146i | \(-0.742234\pi\) |
−0.0628286 | + | 0.998024i | \(0.520012\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −12.3076 | + | 26.2099i | −0.467528 | + | 0.995632i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.326259 | + | 1.85031i | −0.0123757 | + | 0.0701862i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −31.3321 | − | 11.4040i | −1.18679 | − | 0.431955i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −5.03675 | + | 1.10953i | −0.190507 | + | 0.0419663i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 30.2155 | 1.14122 | 0.570611 | − | 0.821220i | \(-0.306706\pi\) | ||||
0.570611 | + | 0.821220i | \(0.306706\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 68.6189 | 2.58801 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.841612 | − | 0.920937i | −0.0316970 | − | 0.0346845i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 6.85001 | + | 2.49320i | 0.257621 | + | 0.0937665i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.728477 | − | 4.13140i | 0.0273585 | − | 0.155158i | −0.968068 | − | 0.250687i | \(-0.919343\pi\) |
0.995427 | + | 0.0955296i | \(0.0304545\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −4.71417 | − | 17.7843i | −0.176795 | − | 0.666963i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 7.61300 | − | 2.77091i | 0.285109 | − | 0.103771i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.64791 | + | 1.38276i | −0.0616284 | + | 0.0517124i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −46.7744 | − | 6.22183i | −1.74682 | − | 0.232358i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 6.47407 | + | 11.2134i | 0.241442 | + | 0.418190i | 0.961125 | − | 0.276112i | \(-0.0890462\pi\) |
−0.719683 | + | 0.694303i | \(0.755713\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.27148 | + | 10.8625i | −0.233562 | + | 0.404541i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 28.4806 | − | 18.0905i | 1.05920 | − | 0.672791i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.51276 | − | 14.2506i | −0.0933217 | − | 0.529254i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.89220 | + | 5.78325i | 0.255618 | + | 0.214489i | 0.761587 | − | 0.648063i | \(-0.224421\pi\) |
−0.505969 | + | 0.862552i | \(0.668865\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 7.19787 | − | 26.0229i | 0.266588 | − | 0.963811i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −12.4555 | − | 10.4514i | −0.460682 | − | 0.386558i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.08103 | + | 23.1447i | 0.150736 | + | 0.854869i | 0.962581 | + | 0.270995i | \(0.0873526\pi\) |
−0.811844 | + | 0.583874i | \(0.801536\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.0203612 | + | 0.0129331i | −0.000751035 | + | 0.000477046i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 11.7444 | − | 20.3419i | 0.432611 | − | 0.749304i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.97888 | − | 15.5519i | −0.330293 | − | 0.572085i | 0.652276 | − | 0.757982i | \(-0.273814\pi\) |
−0.982569 | + | 0.185897i | \(0.940481\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −63.0374 | − | 8.38510i | −2.31574 | − | 0.308034i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 30.4147 | − | 25.5210i | 1.11581 | − | 0.936273i | 0.117422 | − | 0.993082i | \(-0.462537\pi\) |
0.998385 | + | 0.0568090i | \(0.0180926\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.122137 | − | 0.0444541i | 0.00447474 | − | 0.00162867i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −5.87449 | − | 22.1616i | −0.214936 | − | 0.810851i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −3.78065 | + | 21.4411i | −0.138142 | + | 0.783442i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −39.8431 | − | 14.5017i | −1.45390 | − | 0.529175i | −0.510220 | − | 0.860044i | \(-0.670436\pi\) |
−0.943677 | + | 0.330869i | \(0.892658\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −30.2806 | − | 33.1346i | −1.10349 | − | 1.20749i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.338964 | −0.0123362 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 21.1986 | 0.770477 | 0.385238 | − | 0.922817i | \(-0.374119\pi\) | ||||
0.385238 | + | 0.922817i | \(0.374119\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −8.29841 | + | 1.82803i | −0.301213 | + | 0.0663534i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 14.9591 | + | 5.44467i | 0.542267 | + | 0.197369i | 0.598607 | − | 0.801043i | \(-0.295721\pi\) |
−0.0563405 | + | 0.998412i | \(0.517943\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.54594 | − | 25.7813i | 0.164574 | − | 0.933346i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.907808 | − | 1.93324i | 0.0328219 | − | 0.0698963i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 52.1308 | − | 18.9741i | 1.88233 | − | 0.685113i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.02994 | − | 1.70333i | 0.0732017 | − | 0.0614235i | −0.605453 | − | 0.795881i | \(-0.707008\pi\) |
0.678654 | + | 0.734458i | \(0.262563\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.43496 | − | 10.7477i | −0.159721 | − | 0.387069i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −13.8605 | − | 24.0070i | −0.498526 | − | 0.863473i | 0.501472 | − | 0.865174i | \(-0.332792\pi\) |
−0.999999 | + | 0.00170080i | \(0.999459\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −15.1340 | + | 26.2129i | −0.543629 | + | 0.941594i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.67510 | − | 39.5849i | −0.0600938 | − | 1.42010i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 8.03277 | + | 45.5561i | 0.287804 | + | 1.63222i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.27732 | − | 3.58910i | −0.153055 | − | 0.128428i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −15.0685 | − | 0.718693i | −0.538503 | − | 0.0256840i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 1.52257 | + | 1.27759i | 0.0543429 | + | 0.0455991i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.12354 | − | 34.7283i | −0.218281 | − | 1.23793i | −0.875122 | − | 0.483902i | \(-0.839219\pi\) |
0.656842 | − | 0.754029i | \(-0.271892\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 32.5657 | + | 17.0082i | 1.15937 | + | 0.605508i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 8.27408 | − | 14.3311i | 0.294192 | − | 0.509556i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −26.3554 | − | 45.6489i | −0.935909 | − | 1.62104i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −1.51535 | + | 1.96937i | −0.0537440 | + | 0.0698462i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 32.8151 | − | 27.5351i | 1.16237 | − | 0.975344i | 0.162435 | − | 0.986719i | \(-0.448065\pi\) |
0.999935 | + | 0.0113750i | \(0.00362085\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 30.6198 | − | 11.1447i | 1.08325 | − | 0.394270i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −25.1673 | + | 11.6536i | −0.889243 | + | 0.411759i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 1.31207 | − | 7.44114i | 0.0463021 | − | 0.262592i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.412774 | + | 0.150237i | 0.0145484 | + | 0.00529517i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −8.83582 | + | 27.8931i | −0.311036 | + | 0.981882i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 6.44196 | 0.226487 | 0.113244 | − | 0.993567i | \(-0.463876\pi\) | ||||
0.113244 | + | 0.993567i | \(0.463876\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −36.4969 | −1.28158 | −0.640790 | − | 0.767716i | \(-0.721393\pi\) | ||||
−0.640790 | + | 0.767716i | \(0.721393\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −16.9058 | + | 53.3685i | −0.592912 | + | 1.87172i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.17474 | + | 0.427571i | 0.0411494 | + | 0.0149772i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −3.91712 | + | 22.2151i | −0.137043 | + | 0.777209i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −3.29836 | + | 36.5697i | −0.115254 | + | 1.27785i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −8.15624 | + | 2.96863i | −0.284655 | + | 0.103606i | −0.480402 | − | 0.877049i | \(-0.659509\pi\) |
0.195747 | + | 0.980654i | \(0.437287\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 40.9518 | − | 34.3626i | 1.42749 | − | 1.19781i | 0.480312 | − | 0.877098i | \(-0.340524\pi\) |
0.947178 | − | 0.320708i | \(-0.103921\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 19.3599 | − | 25.1604i | 0.674026 | − | 0.875971i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 12.8831 | + | 22.3142i | 0.447989 | + | 0.775939i | 0.998255 | − | 0.0590499i | \(-0.0188071\pi\) |
−0.550266 | + | 0.834989i | \(0.685474\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −24.4963 | + | 42.4288i | −0.850791 | + | 1.47361i | 0.0297037 | + | 0.999559i | \(0.490544\pi\) |
−0.880495 | + | 0.474055i | \(0.842790\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −13.6651 | − | 7.13693i | −0.474037 | − | 0.247577i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −0.109402 | − | 0.620448i | −0.00379055 | − | 0.0214973i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.02153 | + | 1.69627i | 0.0699581 | + | 0.0587018i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 23.1786 | + | 21.4116i | 0.801169 | + | 0.740092i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 2.47353 | + | 2.07554i | 0.0853958 | + | 0.0716556i | 0.684486 | − | 0.729026i | \(-0.260027\pi\) |
−0.599090 | + | 0.800681i | \(0.704471\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.57217 | − | 20.2588i | −0.123178 | − | 0.698578i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 1.80000 | + | 42.5366i | 0.0619953 | + | 1.46504i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −0.548534 | + | 0.950089i | −0.0188702 | + | 0.0326841i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.31103 | + | 5.73487i | 0.113768 | + | 0.197052i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −1.87966 | − | 4.55519i | −0.0645099 | − | 0.156334i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 8.90680 | − | 7.47369i | 0.305321 | − | 0.256195i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 36.5216 | − | 13.2928i | 1.25047 | − | 0.455135i | 0.369912 | − | 0.929067i | \(-0.379388\pi\) |
0.880562 | + | 0.473931i | \(0.157165\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.95251 | + | 0.250328i | −0.100974 | + | 0.00856103i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0.614400 | − | 3.48443i | 0.0209875 | − | 0.119026i | −0.972514 | − | 0.232844i | \(-0.925197\pi\) |
0.993502 | + | 0.113818i | \(0.0363080\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.4016 | − | 5.60573i | −0.525497 | − | 0.191265i | 0.0656297 | − | 0.997844i | \(-0.479094\pi\) |
−0.591126 | + | 0.806579i | \(0.701317\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 26.0843 | − | 5.74605i | 0.888952 | − | 0.195825i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 10.7841 | 0.367095 | 0.183548 | − | 0.983011i | \(-0.441242\pi\) | ||||
0.183548 | + | 0.983011i | \(0.441242\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −2.84123 | −0.0966047 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 17.7680 | + | 19.4427i | 0.603433 | + | 0.660308i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −21.1925 | − | 7.71345i | −0.718908 | − | 0.261661i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 5.17222 | − | 29.3331i | 0.175254 | − | 0.993915i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 14.4923 | + | 3.92491i | 0.490489 | + | 0.132838i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −3.08916 | + | 1.12436i | −0.104433 | + | 0.0380104i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 15.8353 | − | 13.2874i | 0.534719 | − | 0.448683i | −0.335008 | − | 0.942215i | \(-0.608739\pi\) |
0.869727 | + | 0.493533i | \(0.164295\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 27.4187 | + | 3.64718i | 0.924811 | + | 0.123016i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 16.2188 | + | 28.0917i | 0.546424 | + | 0.946434i | 0.998516 | + | 0.0544629i | \(0.0173447\pi\) |
−0.452092 | + | 0.891972i | \(0.649322\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 22.6736 | − | 39.2718i | 0.763027 | − | 1.32160i | −0.178256 | − | 0.983984i | \(-0.557046\pi\) |
0.941283 | − | 0.337618i | \(-0.109621\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 2.18197 | − | 1.38595i | 0.0733460 | − | 0.0465883i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −2.34480 | − | 13.2980i | −0.0787308 | − | 0.446505i | −0.998534 | − | 0.0541251i | \(-0.982763\pi\) |
0.919803 | − | 0.392380i | \(-0.128348\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −5.15082 | − | 4.32205i | −0.172753 | − | 0.144957i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −21.1375 | − | 25.4670i | −0.708132 | − | 0.853178i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −34.6307 | − | 29.0586i | −1.15887 | − | 0.972409i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.473153 | + | 2.68339i | 0.0158158 | + | 0.0896957i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −9.09558 | + | 5.77738i | −0.303692 | + | 0.192901i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 8.81523 | − | 15.2684i | 0.294004 | − | 0.509230i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −32.4510 | − | 56.2068i | −1.08110 | − | 1.87252i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 12.9111 | + | 1.71741i | 0.429654 | + | 0.0571517i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.31017 | − | 1.93846i | 0.0767925 | − | 0.0644366i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 29.6409 | − | 10.7884i | 0.984209 | − | 0.358223i | 0.200734 | − | 0.979646i | \(-0.435667\pi\) |
0.783475 | + | 0.621423i | \(0.213445\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −5.90741 | + | 5.87578i | −0.195936 | + | 0.194887i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −1.53316 | + | 8.69498i | −0.0507958 | + | 0.288078i | −0.999615 | − | 0.0277420i | \(-0.991168\pi\) |
0.948819 | + | 0.315820i | \(0.102279\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −26.4088 | − | 9.61200i | −0.874002 | − | 0.318111i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −1.65686 | − | 1.81303i | −0.0547741 | − | 0.0599368i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −27.5559 | −0.909975 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.42034 | −0.0468527 | −0.0234263 | − | 0.999726i | \(-0.507458\pi\) | ||||
−0.0234263 | + | 0.999726i | \(0.507458\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.293245 | − | 0.0645981i | 0.00966275 | − | 0.00212858i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −6.65349 | − | 2.42167i | −0.219002 | − | 0.0797103i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −7.54313 | + | 42.7792i | −0.248017 | + | 1.40657i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −8.19154 | − | 11.7658i | −0.269045 | − | 0.386440i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −47.1069 | + | 17.1455i | −1.54553 | + | 0.562526i | −0.967363 | − | 0.253395i | \(-0.918453\pi\) |
−0.578164 | + | 0.815921i | \(0.696231\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.669576 | + | 0.561841i | −0.0219445 | + | 0.0184136i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 4.72488 | + | 11.4503i | 0.154686 | + | 0.374866i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.30900 | − | 2.26726i | −0.0428089 | − | 0.0741472i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −28.4431 | + | 49.2649i | −0.929195 | + | 1.60941i | −0.144524 | + | 0.989501i | \(0.546165\pi\) |
−0.784671 | + | 0.619912i | \(0.787168\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −0.848487 | − | 20.0510i | −0.0276893 | − | 0.654338i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −4.19352 | − | 23.7826i | −0.136705 | − | 0.775292i | −0.973657 | − | 0.228016i | \(-0.926776\pi\) |
0.836952 | − | 0.547276i | \(-0.184335\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 6.00444 | + | 5.03833i | 0.195532 | + | 0.164070i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.216485 | + | 1.69713i | 0.00704225 | + | 0.0552077i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −40.9796 | − | 34.3860i | −1.33166 | − | 1.11739i | −0.983687 | − | 0.179889i | \(-0.942426\pi\) |
−0.347971 | − | 0.937505i | \(-0.613129\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.66381 | − | 9.43594i | −0.0540096 | − | 0.306304i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 28.6238 | + | 14.9495i | 0.928190 | + | 0.484769i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −7.85157 | + | 13.5993i | −0.254337 | + | 0.440525i | −0.964715 | − | 0.263295i | \(-0.915191\pi\) |
0.710378 | + | 0.703820i | \(0.248524\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.02406 | − | 1.77372i | −0.0331377 | − | 0.0573962i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −11.2767 | + | 14.6554i | −0.364525 | + | 0.473740i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 17.7640 | − | 14.9058i | 0.573630 | − | 0.481332i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.52339 | + | 2.01035i | −0.178174 | + | 0.0648499i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −20.3463 | − | 14.3282i | −0.655651 | − | 0.461719i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −0.174044 | + | 0.987053i | −0.00560268 | + | 0.0317744i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 25.1121 | + | 9.14006i | 0.807551 | + | 0.293924i | 0.712612 | − | 0.701559i | \(-0.247512\pi\) |
0.0949391 | + | 0.995483i | \(0.469734\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 23.3713 | − | 73.7789i | 0.750794 | − | 2.37012i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −2.58426 | −0.0829328 | −0.0414664 | − | 0.999140i | \(-0.513203\pi\) | ||||
−0.0414664 | + | 0.999140i | \(0.513203\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 39.3105 | 1.26024 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 12.1571 | − | 38.3777i | 0.389339 | − | 1.22907i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 52.1656 | + | 18.9867i | 1.66893 | + | 0.607439i | 0.991727 | − | 0.128362i | \(-0.0409720\pi\) |
0.677198 | + | 0.735801i | \(0.263194\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −5.90343 | + | 33.4800i | −0.188675 | + | 1.07003i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 24.4649 | + | 17.2285i | 0.781103 | + | 0.550064i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 0.457913 | − | 0.166667i | 0.0146052 | − | 0.00531584i | −0.334707 | − | 0.942322i | \(-0.608637\pi\) |
0.349312 | + | 0.937006i | \(0.386415\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.559025 | − | 0.469077i | 0.0178120 | − | 0.0149460i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −15.9180 | + | 20.6872i | −0.506674 | + | 0.658479i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 1.91113 | + | 3.31018i | 0.0607705 | + | 0.105258i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 11.1229 | − | 19.2654i | 0.353330 | − | 0.611986i | −0.633500 | − | 0.773742i | \(-0.718382\pi\) |
0.986831 | + | 0.161756i | \(0.0517158\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 10.4518 | + | 5.45873i | 0.331679 | + | 0.173227i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −0.568289 | − | 3.22293i | −0.0180160 | − | 0.102174i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 14.2775 | + | 11.9803i | 0.452173 | + | 0.379419i | 0.840242 | − | 0.542212i | \(-0.182413\pi\) |
−0.388068 | + | 0.921631i | \(0.626858\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 41.7685 | + | 17.4984i | 1.32150 | + | 0.553626i |
(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 | 864.2.y.d.97.6 | yes | 60 | |
4.3 | odd | 2 | inner | 864.2.y.d.97.5 | ✓ | 60 | |
27.22 | even | 9 | inner | 864.2.y.d.481.6 | yes | 60 | |
108.103 | odd | 18 | inner | 864.2.y.d.481.5 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.y.d.97.5 | ✓ | 60 | 4.3 | odd | 2 | inner | |
864.2.y.d.97.6 | yes | 60 | 1.1 | even | 1 | trivial | |
864.2.y.d.481.5 | yes | 60 | 108.103 | odd | 18 | inner | |
864.2.y.d.481.6 | yes | 60 | 27.22 | even | 9 | inner |