Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(71,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([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("370.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.o (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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 21 x^{16} - 20 x^{15} + 180 x^{14} - 126 x^{13} + 1002 x^{12} - 270 x^{11} + 3294 x^{10} - 1172 x^{9} + 6585 x^{8} - 1464 x^{7} + 8092 x^{6} - 2088 x^{5} + \cdots + 81 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 181.2 | ||
Root | \(-0.649209 - 1.12446i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.181 |
Dual form | 370.2.o.a.231.2 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | − | 0.984808i | 0.122788 | − | 0.696364i | ||||
\(3\) | −0.0317483 | − | 0.180053i | −0.0183299 | − | 0.103954i | 0.974270 | − | 0.225383i | \(-0.0723634\pi\) |
−0.992600 | + | 0.121429i | \(0.961252\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0.766044 | − | 0.642788i | 0.342585 | − | 0.287463i | ||||
\(6\) | −0.182831 | −0.0746404 | ||||||||
\(7\) | 1.13470 | − | 0.952128i | 0.428877 | − | 0.359871i | −0.402651 | − | 0.915354i | \(-0.631911\pi\) |
0.831528 | + | 0.555483i | \(0.187467\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 2.78767 | − | 1.01463i | 0.929222 | − | 0.338209i | ||||
\(10\) | −0.500000 | − | 0.866025i | −0.158114 | − | 0.273861i | ||||
\(11\) | −0.0395795 | + | 0.0685537i | −0.0119337 | + | 0.0206697i | −0.871931 | − | 0.489630i | \(-0.837132\pi\) |
0.859997 | + | 0.510299i | \(0.170465\pi\) | |||||||
\(12\) | −0.0317483 | + | 0.180053i | −0.00916493 | + | 0.0519769i | ||||
\(13\) | −1.35337 | − | 0.492586i | −0.375357 | − | 0.136619i | 0.147451 | − | 0.989069i | \(-0.452893\pi\) |
−0.522808 | + | 0.852451i | \(0.675115\pi\) | |||||||
\(14\) | −0.740624 | − | 1.28280i | −0.197940 | − | 0.342842i | ||||
\(15\) | −0.140057 | − | 0.117521i | −0.0361625 | − | 0.0303439i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −0.0477746 | + | 0.0173885i | −0.0115870 | + | 0.00421734i | −0.347807 | − | 0.937566i | \(-0.613074\pi\) |
0.336220 | + | 0.941783i | \(0.390851\pi\) | |||||||
\(18\) | −0.515140 | − | 2.92150i | −0.121420 | − | 0.688605i | ||||
\(19\) | −0.860951 | − | 4.88269i | −0.197516 | − | 1.12017i | −0.908790 | − | 0.417253i | \(-0.862993\pi\) |
0.711275 | − | 0.702914i | \(-0.248118\pi\) | |||||||
\(20\) | −0.939693 | + | 0.342020i | −0.210122 | + | 0.0764780i | ||||
\(21\) | −0.207459 | − | 0.174078i | −0.0452712 | − | 0.0379870i | ||||
\(22\) | 0.0606393 | + | 0.0508824i | 0.0129283 | + | 0.0108482i | ||||
\(23\) | −1.14319 | − | 1.98006i | −0.238371 | − | 0.412871i | 0.721876 | − | 0.692023i | \(-0.243280\pi\) |
−0.960247 | + | 0.279151i | \(0.909947\pi\) | |||||||
\(24\) | 0.171805 | + | 0.0625319i | 0.0350695 | + | 0.0127643i | ||||
\(25\) | 0.173648 | − | 0.984808i | 0.0347296 | − | 0.196962i | ||||
\(26\) | −0.720113 | + | 1.24727i | −0.141226 | + | 0.244610i | ||||
\(27\) | −0.545437 | − | 0.944725i | −0.104969 | − | 0.181812i | ||||
\(28\) | −1.39192 | + | 0.506617i | −0.263048 | + | 0.0957416i | ||||
\(29\) | 1.47885 | − | 2.56144i | 0.274615 | − | 0.475648i | −0.695423 | − | 0.718601i | \(-0.744783\pi\) |
0.970038 | + | 0.242953i | \(0.0781162\pi\) | |||||||
\(30\) | −0.140057 | + | 0.117521i | −0.0255707 | + | 0.0214564i | ||||
\(31\) | 0.605786 | 0.108802 | 0.0544012 | − | 0.998519i | \(-0.482675\pi\) | ||||
0.0544012 | + | 0.998519i | \(0.482675\pi\) | |||||||
\(32\) | 0.766044 | − | 0.642788i | 0.135419 | − | 0.113630i | ||||
\(33\) | 0.0135999 | + | 0.00494996i | 0.00236744 | + | 0.000861677i | ||||
\(34\) | 0.00882838 | + | 0.0500682i | 0.00151406 | + | 0.00858663i | ||||
\(35\) | 0.257216 | − | 1.45874i | 0.0434774 | − | 0.246573i | ||||
\(36\) | −2.96657 | −0.494429 | ||||||||
\(37\) | 0.570717 | + | 6.05593i | 0.0938252 | + | 0.995589i | ||||
\(38\) | −4.95802 | −0.804297 | ||||||||
\(39\) | −0.0457247 | + | 0.259318i | −0.00732181 | + | 0.0415240i | ||||
\(40\) | 0.173648 | + | 0.984808i | 0.0274562 | + | 0.155712i | ||||
\(41\) | 6.43799 | + | 2.34324i | 1.00545 | + | 0.365952i | 0.791682 | − | 0.610933i | \(-0.209206\pi\) |
0.213763 | + | 0.976885i | \(0.431428\pi\) | |||||||
\(42\) | −0.207459 | + | 0.174078i | −0.0320116 | + | 0.0268609i | ||||
\(43\) | −8.69666 | −1.32623 | −0.663114 | − | 0.748518i | \(-0.730766\pi\) | ||||
−0.663114 | + | 0.748518i | \(0.730766\pi\) | |||||||
\(44\) | 0.0606393 | − | 0.0508824i | 0.00914172 | − | 0.00767081i | ||||
\(45\) | 1.48329 | − | 2.56913i | 0.221115 | − | 0.382983i | ||||
\(46\) | −2.14849 | + | 0.781987i | −0.316778 | + | 0.115298i | ||||
\(47\) | 4.53355 | + | 7.85235i | 0.661287 | + | 1.14538i | 0.980278 | + | 0.197625i | \(0.0633227\pi\) |
−0.318991 | + | 0.947758i | \(0.603344\pi\) | |||||||
\(48\) | 0.0914155 | − | 0.158336i | 0.0131947 | − | 0.0228539i | ||||
\(49\) | −0.834536 | + | 4.73289i | −0.119219 | + | 0.676127i | ||||
\(50\) | −0.939693 | − | 0.342020i | −0.132893 | − | 0.0483690i | ||||
\(51\) | 0.00464762 | + | 0.00804991i | 0.000650797 | + | 0.00112721i | ||||
\(52\) | 1.10328 | + | 0.925760i | 0.152997 | + | 0.128380i | ||||
\(53\) | 0.793926 | + | 0.666183i | 0.109054 | + | 0.0915072i | 0.695684 | − | 0.718348i | \(-0.255101\pi\) |
−0.586630 | + | 0.809855i | \(0.699546\pi\) | |||||||
\(54\) | −1.02509 | + | 0.373101i | −0.139497 | + | 0.0507726i | ||||
\(55\) | 0.0137458 | + | 0.0779564i | 0.00185349 | + | 0.0105116i | ||||
\(56\) | 0.257216 | + | 1.45874i | 0.0343719 | + | 0.194933i | ||||
\(57\) | −0.851812 | + | 0.310034i | −0.112825 | + | 0.0410650i | ||||
\(58\) | −2.26573 | − | 1.90117i | −0.297505 | − | 0.249636i | ||||
\(59\) | 0.696182 | + | 0.584166i | 0.0906352 | + | 0.0760520i | 0.686979 | − | 0.726677i | \(-0.258936\pi\) |
−0.596344 | + | 0.802729i | \(0.703381\pi\) | |||||||
\(60\) | 0.0914155 | + | 0.158336i | 0.0118017 | + | 0.0204411i | ||||
\(61\) | 9.99385 | + | 3.63746i | 1.27958 | + | 0.465729i | 0.890294 | − | 0.455387i | \(-0.150499\pi\) |
0.389287 | + | 0.921116i | \(0.372721\pi\) | |||||||
\(62\) | 0.105194 | − | 0.596583i | 0.0133596 | − | 0.0757661i | ||||
\(63\) | 2.19712 | − | 3.80552i | 0.276811 | − | 0.479450i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −1.35337 | + | 0.492586i | −0.167865 | + | 0.0610978i | ||||
\(66\) | 0.00723636 | − | 0.0125337i | 0.000890734 | − | 0.00154280i | ||||
\(67\) | −1.93394 | + | 1.62277i | −0.236269 | + | 0.198253i | −0.753233 | − | 0.657754i | \(-0.771507\pi\) |
0.516964 | + | 0.856007i | \(0.327062\pi\) | |||||||
\(68\) | 0.0508406 | 0.00616533 | ||||||||
\(69\) | −0.320222 | + | 0.268698i | −0.0385502 | + | 0.0323475i | ||||
\(70\) | −1.39192 | − | 0.506617i | −0.166366 | − | 0.0605523i | ||||
\(71\) | 1.29063 | + | 7.31955i | 0.153170 | + | 0.868671i | 0.960440 | + | 0.278488i | \(0.0898333\pi\) |
−0.807270 | + | 0.590183i | \(0.799056\pi\) | |||||||
\(72\) | −0.515140 | + | 2.92150i | −0.0607098 | + | 0.344303i | ||||
\(73\) | −9.62632 | −1.12668 | −0.563338 | − | 0.826227i | \(-0.690483\pi\) | ||||
−0.563338 | + | 0.826227i | \(0.690483\pi\) | |||||||
\(74\) | 6.06303 | + | 0.489555i | 0.704813 | + | 0.0569096i | ||||
\(75\) | −0.182831 | −0.0211115 | ||||||||
\(76\) | −0.860951 | + | 4.88269i | −0.0987578 | + | 0.560084i | ||||
\(77\) | 0.0203610 | + | 0.115473i | 0.00232035 | + | 0.0131593i | ||||
\(78\) | 0.247438 | + | 0.0900600i | 0.0280168 | + | 0.0101973i | ||||
\(79\) | −5.04131 | + | 4.23016i | −0.567192 | + | 0.475931i | −0.880713 | − | 0.473651i | \(-0.842936\pi\) |
0.313521 | + | 0.949581i | \(0.398491\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | 6.66480 | − | 5.59243i | 0.740533 | − | 0.621381i | ||||
\(82\) | 3.42558 | − | 5.93329i | 0.378292 | − | 0.655222i | ||||
\(83\) | 0.685722 | − | 0.249583i | 0.0752678 | − | 0.0273952i | −0.304112 | − | 0.952636i | \(-0.598360\pi\) |
0.379380 | + | 0.925241i | \(0.376137\pi\) | |||||||
\(84\) | 0.135409 | + | 0.234535i | 0.0147743 | + | 0.0255899i | ||||
\(85\) | −0.0254203 | + | 0.0440293i | −0.00275722 | + | 0.00477565i | ||||
\(86\) | −1.51016 | + | 8.56454i | −0.162845 | + | 0.923538i | ||||
\(87\) | −0.508147 | − | 0.184950i | −0.0544791 | − | 0.0198288i | ||||
\(88\) | −0.0395795 | − | 0.0685537i | −0.00421919 | − | 0.00730785i | ||||
\(89\) | 10.8711 | + | 9.12190i | 1.15233 | + | 0.966919i | 0.999772 | − | 0.0213753i | \(-0.00680450\pi\) |
0.152558 | + | 0.988295i | \(0.451249\pi\) | |||||||
\(90\) | −2.27253 | − | 1.90688i | −0.239545 | − | 0.201002i | ||||
\(91\) | −2.00468 | + | 0.729643i | −0.210147 | + | 0.0764873i | ||||
\(92\) | 0.397025 | + | 2.25164i | 0.0413927 | + | 0.234750i | ||||
\(93\) | −0.0192327 | − | 0.109074i | −0.00199433 | − | 0.0113104i | ||||
\(94\) | 8.52029 | − | 3.10113i | 0.878801 | − | 0.319858i | ||||
\(95\) | −3.79806 | − | 3.18695i | −0.389673 | − | 0.326974i | ||||
\(96\) | −0.140057 | − | 0.117521i | −0.0142945 | − | 0.0119945i | ||||
\(97\) | 1.01825 | + | 1.76367i | 0.103388 | + | 0.179073i | 0.913078 | − | 0.407784i | \(-0.133698\pi\) |
−0.809690 | + | 0.586857i | \(0.800365\pi\) | |||||||
\(98\) | 4.51607 | + | 1.64372i | 0.456192 | + | 0.166040i | ||||
\(99\) | −0.0407780 | + | 0.231263i | −0.00409834 | + | 0.0232428i | ||||
\(100\) | −0.500000 | + | 0.866025i | −0.0500000 | + | 0.0866025i | ||||
\(101\) | 1.87302 | + | 3.24417i | 0.186373 | + | 0.322807i | 0.944038 | − | 0.329836i | \(-0.106994\pi\) |
−0.757666 | + | 0.652643i | \(0.773660\pi\) | |||||||
\(102\) | 0.00873467 | − | 0.00317916i | 0.000864861 | − | 0.000314784i | ||||
\(103\) | 0.596143 | − | 1.03255i | 0.0587397 | − | 0.101740i | −0.835160 | − | 0.550007i | \(-0.814625\pi\) |
0.893900 | + | 0.448267i | \(0.147958\pi\) | |||||||
\(104\) | 1.10328 | − | 0.925760i | 0.108185 | − | 0.0907782i | ||||
\(105\) | −0.270818 | −0.0264291 | ||||||||
\(106\) | 0.793926 | − | 0.666183i | 0.0771129 | − | 0.0647054i | ||||
\(107\) | −4.46727 | − | 1.62595i | −0.431867 | − | 0.157187i | 0.116934 | − | 0.993140i | \(-0.462693\pi\) |
−0.548801 | + | 0.835953i | \(0.684916\pi\) | |||||||
\(108\) | 0.189428 | + | 1.07430i | 0.0182277 | + | 0.103375i | ||||
\(109\) | 0.864938 | − | 4.90531i | 0.0828460 | − | 0.469843i | −0.914955 | − | 0.403557i | \(-0.867774\pi\) |
0.997801 | − | 0.0662864i | \(-0.0211151\pi\) | |||||||
\(110\) | 0.0791590 | 0.00754751 | ||||||||
\(111\) | 1.07227 | − | 0.295025i | 0.101775 | − | 0.0280025i | ||||
\(112\) | 1.48125 | 0.139965 | ||||||||
\(113\) | 0.420112 | − | 2.38257i | 0.0395208 | − | 0.224134i | −0.958650 | − | 0.284587i | \(-0.908144\pi\) |
0.998171 | + | 0.0604533i | \(0.0192546\pi\) | |||||||
\(114\) | 0.157408 | + | 0.892708i | 0.0147427 | + | 0.0836097i | ||||
\(115\) | −2.14849 | − | 0.781987i | −0.200348 | − | 0.0729207i | ||||
\(116\) | −2.26573 | + | 1.90117i | −0.210368 | + | 0.176519i | ||||
\(117\) | −4.27254 | −0.394996 | ||||||||
\(118\) | 0.696182 | − | 0.584166i | 0.0640888 | − | 0.0537769i | ||||
\(119\) | −0.0376538 | + | 0.0652183i | −0.00345172 | + | 0.00597855i | ||||
\(120\) | 0.171805 | − | 0.0625319i | 0.0156836 | − | 0.00570835i | ||||
\(121\) | 5.49687 | + | 9.52085i | 0.499715 | + | 0.865532i | ||||
\(122\) | 5.31761 | − | 9.21038i | 0.481434 | − | 0.833869i | ||||
\(123\) | 0.217513 | − | 1.23358i | 0.0196125 | − | 0.111228i | ||||
\(124\) | −0.569253 | − | 0.207191i | −0.0511204 | − | 0.0186063i | ||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | −3.36618 | − | 2.82456i | −0.299883 | − | 0.251632i | ||||
\(127\) | −3.51319 | − | 2.94792i | −0.311745 | − | 0.261585i | 0.473468 | − | 0.880811i | \(-0.343002\pi\) |
−0.785213 | + | 0.619226i | \(0.787447\pi\) | |||||||
\(128\) | −0.939693 | + | 0.342020i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | 0.276104 | + | 1.56586i | 0.0243096 | + | 0.137867i | ||||
\(130\) | 0.250093 | + | 1.41835i | 0.0219346 | + | 0.124397i | ||||
\(131\) | 10.8627 | − | 3.95370i | 0.949077 | − | 0.345436i | 0.179333 | − | 0.983788i | \(-0.442606\pi\) |
0.769744 | + | 0.638352i | \(0.220384\pi\) | |||||||
\(132\) | −0.0110867 | − | 0.00930288i | −0.000964977 | − | 0.000809712i | ||||
\(133\) | −5.62587 | − | 4.72067i | −0.487825 | − | 0.409334i | ||||
\(134\) | 1.26229 | + | 2.18635i | 0.109045 | + | 0.188872i | ||||
\(135\) | −1.02509 | − | 0.373101i | −0.0882254 | − | 0.0321114i | ||||
\(136\) | 0.00882838 | − | 0.0500682i | 0.000757028 | − | 0.00429332i | ||||
\(137\) | −3.61881 | + | 6.26796i | −0.309175 | + | 0.535508i | −0.978182 | − | 0.207749i | \(-0.933386\pi\) |
0.669007 | + | 0.743256i | \(0.266720\pi\) | |||||||
\(138\) | 0.209010 | + | 0.362016i | 0.0177921 | + | 0.0308169i | ||||
\(139\) | −21.0317 | + | 7.65492i | −1.78389 | + | 0.649282i | −0.784304 | + | 0.620376i | \(0.786980\pi\) |
−0.999582 | + | 0.0289054i | \(0.990798\pi\) | |||||||
\(140\) | −0.740624 | + | 1.28280i | −0.0625942 | + | 0.108416i | ||||
\(141\) | 1.26991 | − | 1.06558i | 0.106946 | − | 0.0897380i | ||||
\(142\) | 7.43247 | 0.623719 | ||||||||
\(143\) | 0.0873343 | − | 0.0732822i | 0.00730326 | − | 0.00612816i | ||||
\(144\) | 2.78767 | + | 1.01463i | 0.232306 | + | 0.0845523i | ||||
\(145\) | −0.513599 | − | 2.91276i | −0.0426521 | − | 0.241892i | ||||
\(146\) | −1.67159 | + | 9.48007i | −0.138342 | + | 0.784576i | ||||
\(147\) | 0.878668 | 0.0724713 | ||||||||
\(148\) | 1.53495 | − | 5.88591i | 0.126172 | − | 0.483819i | ||||
\(149\) | 8.58217 | 0.703079 | 0.351539 | − | 0.936173i | \(-0.385658\pi\) | ||||
0.351539 | + | 0.936173i | \(0.385658\pi\) | |||||||
\(150\) | −0.0317483 | + | 0.180053i | −0.00259223 | + | 0.0147013i | ||||
\(151\) | −1.00297 | − | 5.68815i | −0.0816209 | − | 0.462895i | −0.998035 | − | 0.0626630i | \(-0.980041\pi\) |
0.916414 | − | 0.400232i | \(-0.131070\pi\) | |||||||
\(152\) | 4.65901 | + | 1.69574i | 0.377896 | + | 0.137543i | ||||
\(153\) | −0.115537 | + | 0.0969468i | −0.00934059 | + | 0.00783768i | ||||
\(154\) | 0.117254 | 0.00944861 | ||||||||
\(155\) | 0.464059 | − | 0.389392i | 0.0372741 | − | 0.0312767i | ||||
\(156\) | 0.131659 | − | 0.228040i | 0.0105412 | − | 0.0182578i | ||||
\(157\) | −4.57399 | + | 1.66480i | −0.365044 | + | 0.132865i | −0.518028 | − | 0.855363i | \(-0.673334\pi\) |
0.152984 | + | 0.988229i | \(0.451112\pi\) | |||||||
\(158\) | 3.29048 | + | 5.69929i | 0.261777 | + | 0.453411i | ||||
\(159\) | 0.0947427 | − | 0.164099i | 0.00751358 | − | 0.0130139i | ||||
\(160\) | 0.173648 | − | 0.984808i | 0.0137281 | − | 0.0778559i | ||||
\(161\) | −3.18245 | − | 1.15832i | −0.250812 | − | 0.0912882i | ||||
\(162\) | −4.35014 | − | 7.53466i | −0.341779 | − | 0.591979i | ||||
\(163\) | −15.8303 | − | 13.2832i | −1.23992 | − | 1.04042i | −0.997530 | − | 0.0702419i | \(-0.977623\pi\) |
−0.242394 | − | 0.970178i | \(-0.577933\pi\) | |||||||
\(164\) | −5.24830 | − | 4.40385i | −0.409823 | − | 0.343883i | ||||
\(165\) | 0.0135999 | − | 0.00494996i | 0.00105875 | − | 0.000385354i | ||||
\(166\) | −0.126716 | − | 0.718644i | −0.00983510 | − | 0.0557776i | ||||
\(167\) | 0.909989 | + | 5.16080i | 0.0704170 | + | 0.399355i | 0.999561 | + | 0.0296361i | \(0.00943484\pi\) |
−0.929144 | + | 0.369719i | \(0.879454\pi\) | |||||||
\(168\) | 0.254486 | − | 0.0926252i | 0.0196340 | − | 0.00714619i | ||||
\(169\) | −8.36961 | − | 7.02294i | −0.643816 | − | 0.540226i | ||||
\(170\) | 0.0389462 | + | 0.0326797i | 0.00298704 | + | 0.00250642i | ||||
\(171\) | −7.35416 | − | 12.7378i | −0.562387 | − | 0.974082i | ||||
\(172\) | 8.17219 | + | 2.97443i | 0.623124 | + | 0.226798i | ||||
\(173\) | −1.89571 | + | 10.7511i | −0.144129 | + | 0.817394i | 0.823934 | + | 0.566685i | \(0.191775\pi\) |
−0.968063 | + | 0.250708i | \(0.919337\pi\) | |||||||
\(174\) | −0.270379 | + | 0.468311i | −0.0204974 | + | 0.0355025i | ||||
\(175\) | −0.740624 | − | 1.28280i | −0.0559859 | − | 0.0969705i | ||||
\(176\) | −0.0743851 | + | 0.0270740i | −0.00560699 | + | 0.00204078i | ||||
\(177\) | 0.0830785 | − | 0.143896i | 0.00624456 | − | 0.0108159i | ||||
\(178\) | 10.8711 | − | 9.12190i | 0.814820 | − | 0.683715i | ||||
\(179\) | −11.9139 | −0.890488 | −0.445244 | − | 0.895409i | \(-0.646883\pi\) | ||||
−0.445244 | + | 0.895409i | \(0.646883\pi\) | |||||||
\(180\) | −2.27253 | + | 1.90688i | −0.169384 | + | 0.142130i | ||||
\(181\) | −7.47741 | − | 2.72155i | −0.555791 | − | 0.202291i | 0.0488264 | − | 0.998807i | \(-0.484452\pi\) |
−0.604618 | + | 0.796516i | \(0.706674\pi\) | |||||||
\(182\) | 0.370449 | + | 2.10092i | 0.0274595 | + | 0.155731i | ||||
\(183\) | 0.337650 | − | 1.91491i | 0.0249598 | − | 0.141554i | ||||
\(184\) | 2.28638 | 0.168554 | ||||||||
\(185\) | 4.32987 | + | 4.27226i | 0.318338 | + | 0.314103i | ||||
\(186\) | −0.110756 | −0.00812106 | ||||||||
\(187\) | 0.000698846 | − | 0.00396335i | 5.11047e−5 | − | 0.000289829i | ||||
\(188\) | −1.57449 | − | 8.92936i | −0.114831 | − | 0.651240i | ||||
\(189\) | −1.51841 | − | 0.552655i | −0.110448 | − | 0.0401997i | ||||
\(190\) | −3.79806 | + | 3.18695i | −0.275540 | + | 0.231206i | ||||
\(191\) | 4.08490 | 0.295573 | 0.147786 | − | 0.989019i | \(-0.452785\pi\) | ||||
0.147786 | + | 0.989019i | \(0.452785\pi\) | |||||||
\(192\) | −0.140057 | + | 0.117521i | −0.0101077 | + | 0.00848138i | ||||
\(193\) | 3.30212 | − | 5.71945i | 0.237692 | − | 0.411695i | −0.722360 | − | 0.691518i | \(-0.756942\pi\) |
0.960052 | + | 0.279823i | \(0.0902757\pi\) | |||||||
\(194\) | 1.91369 | − | 0.696526i | 0.137395 | − | 0.0500077i | ||||
\(195\) | 0.131659 | + | 0.228040i | 0.00942829 | + | 0.0163303i | ||||
\(196\) | 2.40295 | − | 4.16203i | 0.171639 | − | 0.297288i | ||||
\(197\) | 1.45152 | − | 8.23197i | 0.103416 | − | 0.586504i | −0.888425 | − | 0.459023i | \(-0.848200\pi\) |
0.991841 | − | 0.127481i | \(-0.0406892\pi\) | |||||||
\(198\) | 0.220669 | + | 0.0803169i | 0.0156823 | + | 0.00570787i | ||||
\(199\) | −4.69794 | − | 8.13707i | −0.333028 | − | 0.576822i | 0.650076 | − | 0.759869i | \(-0.274737\pi\) |
−0.983104 | + | 0.183048i | \(0.941404\pi\) | |||||||
\(200\) | 0.766044 | + | 0.642788i | 0.0541675 | + | 0.0454519i | ||||
\(201\) | 0.353585 | + | 0.296693i | 0.0249400 | + | 0.0209271i | ||||
\(202\) | 3.52013 | − | 1.28122i | 0.247675 | − | 0.0901465i | ||||
\(203\) | −0.760767 | − | 4.31453i | −0.0533954 | − | 0.302820i | ||||
\(204\) | −0.00161410 | − | 0.00915402i | −0.000113010 | − | 0.000640910i | ||||
\(205\) | 6.43799 | − | 2.34324i | 0.449649 | − | 0.163659i | ||||
\(206\) | −0.913345 | − | 0.766387i | −0.0636357 | − | 0.0533967i | ||||
\(207\) | −5.19585 | − | 4.35984i | −0.361137 | − | 0.303030i | ||||
\(208\) | −0.720113 | − | 1.24727i | −0.0499309 | − | 0.0864828i | ||||
\(209\) | 0.368803 | + | 0.134233i | 0.0255106 | + | 0.00928511i | ||||
\(210\) | −0.0470271 | + | 0.266704i | −0.00324518 | + | 0.0184043i | ||||
\(211\) | 8.46801 | − | 14.6670i | 0.582962 | − | 1.00972i | −0.412164 | − | 0.911110i | \(-0.635227\pi\) |
0.995126 | − | 0.0986103i | \(-0.0314397\pi\) | |||||||
\(212\) | −0.518198 | − | 0.897545i | −0.0355900 | − | 0.0616437i | ||||
\(213\) | 1.27693 | − | 0.464766i | 0.0874941 | − | 0.0318452i | ||||
\(214\) | −2.37698 | + | 4.11706i | −0.162487 | + | 0.281436i | ||||
\(215\) | −6.66203 | + | 5.59011i | −0.454347 | + | 0.381242i | ||||
\(216\) | 1.09087 | 0.0742246 | ||||||||
\(217\) | 0.687387 | − | 0.576786i | 0.0466629 | − | 0.0391548i | ||||
\(218\) | −4.68059 | − | 1.70359i | −0.317009 | − | 0.115382i | ||||
\(219\) | 0.305619 | + | 1.73325i | 0.0206518 | + | 0.117122i | ||||
\(220\) | 0.0137458 | − | 0.0779564i | 0.000926743 | − | 0.00525582i | ||||
\(221\) | 0.0732220 | 0.00492545 | ||||||||
\(222\) | −0.104345 | − | 1.10721i | −0.00700315 | − | 0.0743112i | ||||
\(223\) | −3.44650 | −0.230795 | −0.115397 | − | 0.993319i | \(-0.536814\pi\) | ||||
−0.115397 | + | 0.993319i | \(0.536814\pi\) | |||||||
\(224\) | 0.257216 | − | 1.45874i | 0.0171860 | − | 0.0974665i | ||||
\(225\) | −0.515140 | − | 2.92150i | −0.0343427 | − | 0.194767i | ||||
\(226\) | −2.27343 | − | 0.827459i | −0.151226 | − | 0.0550418i | ||||
\(227\) | −8.31617 | + | 6.97810i | −0.551964 | + | 0.463152i | −0.875605 | − | 0.483027i | \(-0.839537\pi\) |
0.323642 | + | 0.946180i | \(0.395093\pi\) | |||||||
\(228\) | 0.906479 | 0.0600331 | ||||||||
\(229\) | 8.89243 | − | 7.46164i | 0.587629 | − | 0.493079i | −0.299814 | − | 0.953998i | \(-0.596925\pi\) |
0.887442 | + | 0.460919i | \(0.152480\pi\) | |||||||
\(230\) | −1.14319 | + | 1.98006i | −0.0753796 | + | 0.130561i | ||||
\(231\) | 0.0201448 | − | 0.00733212i | 0.00132543 | − | 0.000482418i | ||||
\(232\) | 1.47885 | + | 2.56144i | 0.0970912 | + | 0.168167i | ||||
\(233\) | 7.41361 | − | 12.8408i | 0.485682 | − | 0.841226i | −0.514183 | − | 0.857681i | \(-0.671905\pi\) |
0.999865 | + | 0.0164548i | \(0.00523795\pi\) | |||||||
\(234\) | −0.741918 | + | 4.20763i | −0.0485007 | + | 0.275061i | ||||
\(235\) | 8.52029 | + | 3.10113i | 0.555803 | + | 0.202296i | ||||
\(236\) | −0.454401 | − | 0.787045i | −0.0295790 | − | 0.0512323i | ||||
\(237\) | 0.921708 | + | 0.773405i | 0.0598714 | + | 0.0502381i | ||||
\(238\) | 0.0576890 | + | 0.0484068i | 0.00373942 | + | 0.00313775i | ||||
\(239\) | −16.7205 | + | 6.08575i | −1.08156 | + | 0.393654i | −0.820487 | − | 0.571666i | \(-0.806297\pi\) |
−0.261070 | + | 0.965320i | \(0.584075\pi\) | |||||||
\(240\) | −0.0317483 | − | 0.180053i | −0.00204934 | − | 0.0116224i | ||||
\(241\) | −1.51481 | − | 8.59093i | −0.0975777 | − | 0.553390i | −0.993927 | − | 0.110042i | \(-0.964901\pi\) |
0.896349 | − | 0.443349i | \(-0.146210\pi\) | |||||||
\(242\) | 10.3307 | − | 3.76008i | 0.664085 | − | 0.241707i | ||||
\(243\) | −3.72551 | − | 3.12607i | −0.238991 | − | 0.200537i | ||||
\(244\) | −8.14706 | − | 6.83619i | −0.521562 | − | 0.437642i | ||||
\(245\) | 2.40295 | + | 4.16203i | 0.153519 | + | 0.265903i | ||||
\(246\) | −1.17706 | − | 0.428416i | −0.0750469 | − | 0.0273148i | ||||
\(247\) | −1.23996 | + | 7.03219i | −0.0788970 | + | 0.447447i | ||||
\(248\) | −0.302893 | + | 0.524626i | −0.0192337 | + | 0.0333138i | ||||
\(249\) | −0.0667087 | − | 0.115543i | −0.00422749 | − | 0.00732223i | ||||
\(250\) | −0.939693 | + | 0.342020i | −0.0594314 | + | 0.0216313i | ||||
\(251\) | −5.21424 | + | 9.03132i | −0.329120 | + | 0.570052i | −0.982337 | − | 0.187118i | \(-0.940085\pi\) |
0.653218 | + | 0.757170i | \(0.273419\pi\) | |||||||
\(252\) | −3.36618 | + | 2.82456i | −0.212049 | + | 0.177930i | ||||
\(253\) | 0.180987 | 0.0113786 | ||||||||
\(254\) | −3.51319 | + | 2.94792i | −0.220437 | + | 0.184969i | ||||
\(255\) | 0.00873467 | + | 0.00317916i | 0.000546986 | + | 0.000199087i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 0.621010 | − | 3.52192i | 0.0387376 | − | 0.219692i | −0.959294 | − | 0.282410i | \(-0.908866\pi\) |
0.998031 | + | 0.0627188i | \(0.0199771\pi\) | |||||||
\(258\) | 1.59002 | 0.0989903 | ||||||||
\(259\) | 6.41361 | + | 6.32828i | 0.398523 | + | 0.393220i | ||||
\(260\) | 1.44023 | 0.0893190 | ||||||||
\(261\) | 1.52363 | − | 8.64093i | 0.0943102 | − | 0.534860i | ||||
\(262\) | −2.00734 | − | 11.3842i | −0.124014 | − | 0.703319i | ||||
\(263\) | 28.9643 | + | 10.5421i | 1.78602 | + | 0.650056i | 0.999471 | + | 0.0325228i | \(0.0103542\pi\) |
0.786544 | + | 0.617534i | \(0.211868\pi\) | |||||||
\(264\) | −0.0110867 | + | 0.00930288i | −0.000682342 | + | 0.000572553i | ||||
\(265\) | 1.03640 | 0.0636653 | ||||||||
\(266\) | −5.62587 | + | 4.72067i | −0.344944 | + | 0.289443i | ||||
\(267\) | 1.29729 | − | 2.24697i | 0.0793929 | − | 0.137513i | ||||
\(268\) | 2.37233 | − | 0.863459i | 0.144913 | − | 0.0527442i | ||||
\(269\) | 12.7899 | + | 22.1528i | 0.779814 | + | 1.35068i | 0.932049 | + | 0.362333i | \(0.118020\pi\) |
−0.152235 | + | 0.988344i | \(0.548647\pi\) | |||||||
\(270\) | −0.545437 | + | 0.944725i | −0.0331942 | + | 0.0574941i | ||||
\(271\) | 3.75780 | − | 21.3115i | 0.228270 | − | 1.29458i | −0.628065 | − | 0.778161i | \(-0.716153\pi\) |
0.856335 | − | 0.516421i | \(-0.172736\pi\) | |||||||
\(272\) | −0.0477746 | − | 0.0173885i | −0.00289676 | − | 0.00105433i | ||||
\(273\) | 0.195020 | + | 0.337784i | 0.0118031 | + | 0.0204436i | ||||
\(274\) | 5.54433 | + | 4.65225i | 0.334945 | + | 0.281053i | ||||
\(275\) | 0.0606393 | + | 0.0508824i | 0.00365669 | + | 0.00306832i | ||||
\(276\) | 0.392811 | − | 0.142971i | 0.0236444 | − | 0.00860587i | ||||
\(277\) | 0.934001 | + | 5.29698i | 0.0561187 | + | 0.318265i | 0.999925 | − | 0.0122338i | \(-0.00389423\pi\) |
−0.943806 | + | 0.330499i | \(0.892783\pi\) | |||||||
\(278\) | 3.88650 | + | 22.0415i | 0.233097 | + | 1.32196i | ||||
\(279\) | 1.68873 | − | 0.614647i | 0.101102 | − | 0.0367980i | ||||
\(280\) | 1.13470 | + | 0.952128i | 0.0678114 | + | 0.0569005i | ||||
\(281\) | 0.514978 | + | 0.432118i | 0.0307210 | + | 0.0257780i | 0.658019 | − | 0.753001i | \(-0.271395\pi\) |
−0.627298 | + | 0.778779i | \(0.715839\pi\) | |||||||
\(282\) | −0.828874 | − | 1.43565i | −0.0493587 | − | 0.0854918i | ||||
\(283\) | 21.7622 | + | 7.92079i | 1.29363 | + | 0.470842i | 0.894916 | − | 0.446234i | \(-0.147235\pi\) |
0.398712 | + | 0.917076i | \(0.369457\pi\) | |||||||
\(284\) | 1.29063 | − | 7.31955i | 0.0765851 | − | 0.434335i | ||||
\(285\) | −0.453240 | + | 0.785034i | −0.0268476 | + | 0.0465014i | ||||
\(286\) | −0.0570034 | − | 0.0987328i | −0.00337068 | − | 0.00583819i | ||||
\(287\) | 9.53626 | − | 3.47092i | 0.562908 | − | 0.204882i | ||||
\(288\) | 1.48329 | − | 2.56913i | 0.0874035 | − | 0.151387i | ||||
\(289\) | −13.0208 | + | 10.9257i | −0.765928 | + | 0.642690i | ||||
\(290\) | −2.95770 | −0.173682 | ||||||||
\(291\) | 0.285226 | − | 0.239333i | 0.0167203 | − | 0.0140300i | ||||
\(292\) | 9.04578 | + | 3.29239i | 0.529364 | + | 0.192673i | ||||
\(293\) | 1.38697 | + | 7.86588i | 0.0810275 | + | 0.459530i | 0.998143 | + | 0.0609088i | \(0.0193999\pi\) |
−0.917116 | + | 0.398621i | \(0.869489\pi\) | |||||||
\(294\) | 0.152579 | − | 0.865319i | 0.00889859 | − | 0.0504664i | ||||
\(295\) | 0.908801 | 0.0529125 | ||||||||
\(296\) | −5.52995 | − | 2.53371i | −0.321422 | − | 0.147269i | ||||
\(297\) | 0.0863525 | 0.00501068 | ||||||||
\(298\) | 1.49028 | − | 8.45179i | 0.0863295 | − | 0.489599i | ||||
\(299\) | 0.571806 | + | 3.24287i | 0.0330684 | + | 0.187540i | ||||
\(300\) | 0.171805 | + | 0.0625319i | 0.00991916 | + | 0.00361028i | ||||
\(301\) | −9.86812 | + | 8.28034i | −0.568789 | + | 0.477271i | ||||
\(302\) | −5.77590 | −0.332366 | ||||||||
\(303\) | 0.524658 | − | 0.440240i | 0.0301408 | − | 0.0252911i | ||||
\(304\) | 2.47901 | − | 4.29377i | 0.142181 | − | 0.246265i | ||||
\(305\) | 9.99385 | − | 3.63746i | 0.572246 | − | 0.208281i | ||||
\(306\) | 0.0754112 | + | 0.130616i | 0.00431097 | + | 0.00746682i | ||||
\(307\) | −1.59959 | + | 2.77058i | −0.0912936 | + | 0.158125i | −0.908056 | − | 0.418849i | \(-0.862433\pi\) |
0.816762 | + | 0.576975i | \(0.195767\pi\) | |||||||
\(308\) | 0.0203610 | − | 0.115473i | 0.00116017 | − | 0.00657967i | ||||
\(309\) | −0.204841 | − | 0.0745559i | −0.0116530 | − | 0.00424134i | ||||
\(310\) | −0.302893 | − | 0.524626i | −0.0172032 | − | 0.0297968i | ||||
\(311\) | 6.27417 | + | 5.26466i | 0.355776 | + | 0.298531i | 0.803104 | − | 0.595838i | \(-0.203180\pi\) |
−0.447329 | + | 0.894370i | \(0.647625\pi\) | |||||||
\(312\) | −0.201713 | − | 0.169258i | −0.0114198 | − | 0.00958232i | ||||
\(313\) | −29.3261 | + | 10.6738i | −1.65761 | + | 0.603320i | −0.989984 | − | 0.141180i | \(-0.954910\pi\) |
−0.667623 | + | 0.744500i | \(0.732688\pi\) | |||||||
\(314\) | 0.845239 | + | 4.79359i | 0.0476996 | + | 0.270518i | ||||
\(315\) | −0.763050 | − | 4.32747i | −0.0429930 | − | 0.243825i | ||||
\(316\) | 6.18409 | − | 2.25082i | 0.347882 | − | 0.126619i | ||||
\(317\) | −15.7111 | − | 13.1831i | −0.882421 | − | 0.740439i | 0.0842542 | − | 0.996444i | \(-0.473149\pi\) |
−0.966675 | + | 0.256005i | \(0.917594\pi\) | |||||||
\(318\) | −0.145154 | − | 0.121799i | −0.00813984 | − | 0.00683014i | ||||
\(319\) | 0.117064 | + | 0.202761i | 0.00655434 | + | 0.0113524i | ||||
\(320\) | −0.939693 | − | 0.342020i | −0.0525304 | − | 0.0191195i | ||||
\(321\) | −0.150930 | + | 0.855967i | −0.00842410 | + | 0.0477754i | ||||
\(322\) | −1.69335 | + | 2.93296i | −0.0943665 | + | 0.163448i | ||||
\(323\) | 0.126034 | + | 0.218298i | 0.00701274 | + | 0.0121464i | ||||
\(324\) | −8.17558 | + | 2.97567i | −0.454199 | + | 0.165315i | ||||
\(325\) | −0.720113 | + | 1.24727i | −0.0399447 | + | 0.0691862i | ||||
\(326\) | −15.8303 | + | 13.2832i | −0.876759 | + | 0.735688i | ||||
\(327\) | −0.910677 | −0.0503606 | ||||||||
\(328\) | −5.24830 | + | 4.40385i | −0.289789 | + | 0.243162i | ||||
\(329\) | 12.6207 | + | 4.59355i | 0.695800 | + | 0.253251i | ||||
\(330\) | −0.00251316 | − | 0.0142528i | −0.000138345 | − | 0.000784593i | ||||
\(331\) | −0.586593 | + | 3.32673i | −0.0322421 | + | 0.182854i | −0.996676 | − | 0.0814714i | \(-0.974038\pi\) |
0.964434 | + | 0.264325i | \(0.0851492\pi\) | |||||||
\(332\) | −0.729730 | −0.0400492 | ||||||||
\(333\) | 7.73548 | + | 16.3028i | 0.423902 | + | 0.893391i | ||||
\(334\) | 5.24042 | 0.286743 | ||||||||
\(335\) | −0.438390 | + | 2.48623i | −0.0239518 | + | 0.135837i | ||||
\(336\) | −0.0470271 | − | 0.266704i | −0.00256554 | − | 0.0145499i | ||||
\(337\) | 21.8612 | + | 7.95681i | 1.19085 | + | 0.433435i | 0.860023 | − | 0.510255i | \(-0.170449\pi\) |
0.330830 | + | 0.943690i | \(0.392671\pi\) | |||||||
\(338\) | −8.36961 | + | 7.02294i | −0.455247 | + | 0.381997i | ||||
\(339\) | −0.442328 | −0.0240240 | ||||||||
\(340\) | 0.0389462 | − | 0.0326797i | 0.00211215 | − | 0.00177231i | ||||
\(341\) | −0.0239767 | + | 0.0415289i | −0.00129841 | + | 0.00224891i | ||||
\(342\) | −13.8213 | + | 5.03054i | −0.747370 | + | 0.272021i | ||||
\(343\) | 8.74374 | + | 15.1446i | 0.472117 | + | 0.817731i | ||||
\(344\) | 4.34833 | − | 7.53153i | 0.234446 | − | 0.406073i | ||||
\(345\) | −0.0725885 | + | 0.411670i | −0.00390803 | + | 0.0221636i | ||||
\(346\) | 10.2586 | + | 3.73383i | 0.551506 | + | 0.200732i | ||||
\(347\) | −17.6936 | − | 30.6462i | −0.949843 | − | 1.64518i | −0.745752 | − | 0.666224i | \(-0.767910\pi\) |
−0.204091 | − | 0.978952i | \(-0.565424\pi\) | |||||||
\(348\) | 0.414245 | + | 0.347593i | 0.0222059 | + | 0.0186329i | ||||
\(349\) | −8.00283 | − | 6.71517i | −0.428382 | − | 0.359455i | 0.402959 | − | 0.915218i | \(-0.367982\pi\) |
−0.831341 | + | 0.555763i | \(0.812426\pi\) | |||||||
\(350\) | −1.39192 | + | 0.506617i | −0.0744011 | + | 0.0270798i | ||||
\(351\) | 0.272820 | + | 1.54724i | 0.0145620 | + | 0.0825854i | ||||
\(352\) | 0.0137458 | + | 0.0779564i | 0.000732654 | + | 0.00415509i | ||||
\(353\) | 18.4108 | − | 6.70098i | 0.979907 | − | 0.356657i | 0.198103 | − | 0.980181i | \(-0.436522\pi\) |
0.781804 | + | 0.623524i | \(0.214300\pi\) | |||||||
\(354\) | −0.127284 | − | 0.106804i | −0.00676505 | − | 0.00567655i | ||||
\(355\) | 5.69360 | + | 4.77750i | 0.302185 | + | 0.253563i | ||||
\(356\) | −7.09558 | − | 12.2899i | −0.376065 | − | 0.651363i | ||||
\(357\) | 0.0129382 | + | 0.00470912i | 0.000684763 | + | 0.000249233i | ||||
\(358\) | −2.06883 | + | 11.7329i | −0.109341 | + | 0.620104i | ||||
\(359\) | −1.93890 | + | 3.35828i | −0.102331 | + | 0.177243i | −0.912645 | − | 0.408754i | \(-0.865964\pi\) |
0.810313 | + | 0.585997i | \(0.199297\pi\) | |||||||
\(360\) | 1.48329 | + | 2.56913i | 0.0781761 | + | 0.135405i | ||||
\(361\) | −5.24531 | + | 1.90914i | −0.276069 | + | 0.100481i | ||||
\(362\) | −3.97865 | + | 6.89122i | −0.209113 | + | 0.362194i | ||||
\(363\) | 1.53975 | − | 1.29200i | 0.0808157 | − | 0.0678124i | ||||
\(364\) | 2.13333 | 0.111817 | ||||||||
\(365\) | −7.37419 | + | 6.18768i | −0.385983 | + | 0.323878i | ||||
\(366\) | −1.82718 | − | 0.665041i | −0.0955085 | − | 0.0347622i | ||||
\(367\) | 1.23941 | + | 7.02903i | 0.0646966 | + | 0.366913i | 0.999917 | + | 0.0128477i | \(0.00408967\pi\) |
−0.935221 | + | 0.354065i | \(0.884799\pi\) | |||||||
\(368\) | 0.397025 | − | 2.25164i | 0.0206964 | − | 0.117375i | ||||
\(369\) | 20.3245 | 1.05805 | ||||||||
\(370\) | 4.95923 | − | 3.52222i | 0.257818 | − | 0.183111i | ||||
\(371\) | 1.53516 | 0.0797015 | ||||||||
\(372\) | −0.0192327 | + | 0.109074i | −0.000997167 | + | 0.00565521i | ||||
\(373\) | 3.76956 | + | 21.3782i | 0.195180 | + | 1.10692i | 0.912162 | + | 0.409830i | \(0.134412\pi\) |
−0.716982 | + | 0.697092i | \(0.754477\pi\) | |||||||
\(374\) | −0.00378179 | − | 0.00137646i | −0.000195551 | − | 7.11749e-5i | ||||
\(375\) | −0.140057 | + | 0.117521i | −0.00723249 | + | 0.00606878i | ||||
\(376\) | −9.06711 | −0.467600 | ||||||||
\(377\) | −3.26316 | + | 2.73812i | −0.168061 | + | 0.141020i | ||||
\(378\) | −0.807928 | + | 1.39937i | −0.0415553 | + | 0.0719759i | ||||
\(379\) | −5.22984 | + | 1.90351i | −0.268639 | + | 0.0977766i | −0.472828 | − | 0.881155i | \(-0.656767\pi\) |
0.204189 | + | 0.978932i | \(0.434544\pi\) | |||||||
\(380\) | 2.47901 | + | 4.29377i | 0.127170 | + | 0.220266i | ||||
\(381\) | −0.419245 | + | 0.726153i | −0.0214786 | + | 0.0372019i | ||||
\(382\) | 0.709335 | − | 4.02284i | 0.0362927 | − | 0.205826i | ||||
\(383\) | 29.8125 | + | 10.8509i | 1.52335 | + | 0.554453i | 0.961981 | − | 0.273115i | \(-0.0880541\pi\) |
0.561365 | + | 0.827568i | \(0.310276\pi\) | |||||||
\(384\) | 0.0914155 | + | 0.158336i | 0.00466503 | + | 0.00808006i | ||||
\(385\) | 0.0898219 | + | 0.0753695i | 0.00457775 | + | 0.00384118i | ||||
\(386\) | −5.05915 | − | 4.24513i | −0.257504 | − | 0.216071i | ||||
\(387\) | −24.2434 | + | 8.82387i | −1.23236 | + | 0.448543i | ||||
\(388\) | −0.353636 | − | 2.00557i | −0.0179531 | − | 0.101817i | ||||
\(389\) | −2.12485 | − | 12.0506i | −0.107734 | − | 0.610992i | −0.990093 | − | 0.140414i | \(-0.955157\pi\) |
0.882358 | − | 0.470578i | \(-0.155955\pi\) | |||||||
\(390\) | 0.247438 | − | 0.0900600i | 0.0125295 | − | 0.00456037i | ||||
\(391\) | 0.0890457 | + | 0.0747182i | 0.00450323 | + | 0.00377866i | ||||
\(392\) | −3.68154 | − | 3.08918i | −0.185946 | − | 0.156027i | ||||
\(393\) | −1.05675 | − | 1.83034i | −0.0533059 | − | 0.0923285i | ||||
\(394\) | −7.85486 | − | 2.85893i | −0.395722 | − | 0.144031i | ||||
\(395\) | −1.14277 | + | 6.48099i | −0.0574992 | + | 0.326094i | ||||
\(396\) | 0.117415 | − | 0.203370i | 0.00590035 | − | 0.0102197i | ||||
\(397\) | 13.8093 | + | 23.9184i | 0.693069 | + | 1.20043i | 0.970827 | + | 0.239779i | \(0.0770751\pi\) |
−0.277759 | + | 0.960651i | \(0.589592\pi\) | |||||||
\(398\) | −8.82924 | + | 3.21358i | −0.442570 | + | 0.161082i | ||||
\(399\) | −0.671360 | + | 1.16283i | −0.0336101 | + | 0.0582143i | ||||
\(400\) | 0.766044 | − | 0.642788i | 0.0383022 | − | 0.0321394i | ||||
\(401\) | −29.6991 | −1.48310 | −0.741551 | − | 0.670896i | \(-0.765910\pi\) | ||||
−0.741551 | + | 0.670896i | \(0.765910\pi\) | |||||||
\(402\) | 0.353585 | − | 0.296693i | 0.0176352 | − | 0.0147977i | ||||
\(403\) | −0.819853 | − | 0.298402i | −0.0408398 | − | 0.0148645i | ||||
\(404\) | −0.650493 | − | 3.68913i | −0.0323633 | − | 0.183541i | ||||
\(405\) | 1.51079 | − | 8.56810i | 0.0750716 | − | 0.425752i | ||||
\(406\) | −4.38108 | −0.217430 | ||||||||
\(407\) | −0.437745 | − | 0.200566i | −0.0216982 | − | 0.00994168i | ||||
\(408\) | −0.00929524 | −0.000460183 | ||||||||
\(409\) | 5.32634 | − | 30.2072i | 0.263371 | − | 1.49365i | −0.510264 | − | 0.860018i | \(-0.670452\pi\) |
0.773635 | − | 0.633632i | \(-0.218437\pi\) | |||||||
\(410\) | −1.18969 | − | 6.74708i | −0.0587547 | − | 0.333215i | ||||
\(411\) | 1.24346 | + | 0.452581i | 0.0613352 | + | 0.0223242i | ||||
\(412\) | −0.913345 | + | 0.766387i | −0.0449973 | + | 0.0377572i | ||||
\(413\) | 1.34616 | 0.0662402 | ||||||||
\(414\) | −5.19585 | + | 4.35984i | −0.255362 | + | 0.214274i | ||||
\(415\) | 0.364865 | − | 0.631965i | 0.0179105 | − | 0.0310219i | ||||
\(416\) | −1.35337 | + | 0.492586i | −0.0663544 | + | 0.0241510i | ||||
\(417\) | 2.04601 | + | 3.54380i | 0.100194 | + | 0.173541i | ||||
\(418\) | 0.196236 | − | 0.339890i | 0.00959821 | − | 0.0166246i | ||||
\(419\) | 2.68134 | − | 15.2066i | 0.130992 | − | 0.742892i | −0.846575 | − | 0.532269i | \(-0.821340\pi\) |
0.977567 | − | 0.210623i | \(-0.0675494\pi\) | |||||||
\(420\) | 0.254486 | + | 0.0926252i | 0.0124176 | + | 0.00451965i | ||||
\(421\) | −15.2534 | − | 26.4197i | −0.743407 | − | 1.28762i | −0.950935 | − | 0.309390i | \(-0.899875\pi\) |
0.207528 | − | 0.978229i | \(-0.433458\pi\) | |||||||
\(422\) | −12.9737 | − | 10.8863i | −0.631552 | − | 0.529935i | ||||
\(423\) | 20.6052 | + | 17.2899i | 1.00186 | + | 0.840661i | ||||
\(424\) | −0.973894 | + | 0.354468i | −0.0472965 | + | 0.0172145i | ||||
\(425\) | 0.00882838 | + | 0.0500682i | 0.000428239 | + | 0.00242867i | ||||
\(426\) | −0.235968 | − | 1.33824i | −0.0114327 | − | 0.0648380i | ||||
\(427\) | 14.8034 | − | 5.38799i | 0.716385 | − | 0.260743i | ||||
\(428\) | 3.64175 | + | 3.05579i | 0.176031 | + | 0.147707i | ||||
\(429\) | −0.0159674 | − | 0.0133983i | −0.000770914 | − | 0.000646874i | ||||
\(430\) | 4.34833 | + | 7.53153i | 0.209695 | + | 0.363203i | ||||
\(431\) | 32.8058 | + | 11.9403i | 1.58020 | + | 0.575145i | 0.975247 | − | 0.221118i | \(-0.0709705\pi\) |
0.604951 | + | 0.796263i | \(0.293193\pi\) | |||||||
\(432\) | 0.189428 | − | 1.07430i | 0.00911387 | − | 0.0516873i | ||||
\(433\) | −7.99109 | + | 13.8410i | −0.384028 | + | 0.665155i | −0.991634 | − | 0.129083i | \(-0.958797\pi\) |
0.607606 | + | 0.794238i | \(0.292130\pi\) | |||||||
\(434\) | −0.448660 | − | 0.777102i | −0.0215364 | − | 0.0373021i | ||||
\(435\) | −0.508147 | + | 0.184950i | −0.0243638 | + | 0.00886769i | ||||
\(436\) | −2.49049 | + | 4.31365i | −0.119273 | + | 0.206587i | ||||
\(437\) | −8.68380 | + | 7.28658i | −0.415403 | + | 0.348564i | ||||
\(438\) | 1.75999 | 0.0840955 | ||||||||
\(439\) | −13.3967 | + | 11.2411i | −0.639388 | + | 0.536510i | −0.903830 | − | 0.427891i | \(-0.859257\pi\) |
0.264442 | + | 0.964402i | \(0.414812\pi\) | |||||||
\(440\) | −0.0743851 | − | 0.0270740i | −0.00354617 | − | 0.00129070i | ||||
\(441\) | 2.47571 | + | 14.0405i | 0.117891 | + | 0.668594i | ||||
\(442\) | 0.0127149 | − | 0.0721096i | 0.000604785 | − | 0.00342990i | ||||
\(443\) | −18.9363 | −0.899691 | −0.449845 | − | 0.893106i | \(-0.648521\pi\) | ||||
−0.449845 | + | 0.893106i | \(0.648521\pi\) | |||||||
\(444\) | −1.10851 | − | 0.0895058i | −0.0526075 | − | 0.00424776i | ||||
\(445\) | 14.1912 | 0.672725 | ||||||||
\(446\) | −0.598479 | + | 3.39414i | −0.0283388 | + | 0.160717i | ||||
\(447\) | −0.272469 | − | 1.54525i | −0.0128873 | − | 0.0730877i | ||||
\(448\) | −1.39192 | − | 0.506617i | −0.0657619 | − | 0.0239354i | ||||
\(449\) | 14.6958 | − | 12.3313i | 0.693539 | − | 0.581948i | −0.226388 | − | 0.974037i | \(-0.572692\pi\) |
0.919927 | + | 0.392089i | \(0.128247\pi\) | |||||||
\(450\) | −2.96657 | −0.139846 | ||||||||
\(451\) | −0.415450 | + | 0.348604i | −0.0195628 | + | 0.0164151i | ||||
\(452\) | −1.20966 | + | 2.09520i | −0.0568978 | + | 0.0985500i | ||||
\(453\) | −0.992327 | + | 0.361178i | −0.0466236 | + | 0.0169696i | ||||
\(454\) | 5.42799 | + | 9.40156i | 0.254748 | + | 0.441237i | ||||
\(455\) | −1.06667 | + | 1.84752i | −0.0500061 | + | 0.0866131i | ||||
\(456\) | 0.157408 | − | 0.892708i | 0.00737133 | − | 0.0418049i | ||||
\(457\) | −15.0182 | − | 5.46619i | −0.702524 | − | 0.255698i | −0.0340357 | − | 0.999421i | \(-0.510836\pi\) |
−0.668488 | + | 0.743723i | \(0.733058\pi\) | |||||||
\(458\) | −5.80412 | − | 10.0530i | −0.271209 | − | 0.469748i | ||||
\(459\) | 0.0424854 | + | 0.0356495i | 0.00198305 | + | 0.00166397i | ||||
\(460\) | 1.75147 | + | 1.46966i | 0.0816626 | + | 0.0685230i | ||||
\(461\) | −14.1384 | + | 5.14595i | −0.658490 | + | 0.239671i | −0.649584 | − | 0.760290i | \(-0.725057\pi\) |
−0.00890575 | + | 0.999960i | \(0.502835\pi\) | |||||||
\(462\) | −0.00372261 | − | 0.0211120i | −0.000173192 | − | 0.000982219i | ||||
\(463\) | 2.74554 | + | 15.5707i | 0.127596 | + | 0.723633i | 0.979732 | + | 0.200312i | \(0.0641957\pi\) |
−0.852136 | + | 0.523320i | \(0.824693\pi\) | |||||||
\(464\) | 2.77933 | − | 1.01159i | 0.129027 | − | 0.0469620i | ||||
\(465\) | −0.0848444 | − | 0.0711929i | −0.00393456 | − | 0.00330149i | ||||
\(466\) | −11.3583 | − | 9.53076i | −0.526164 | − | 0.441504i | ||||
\(467\) | −13.1903 | − | 22.8463i | −0.610376 | − | 1.05720i | −0.991177 | − | 0.132545i | \(-0.957685\pi\) |
0.380801 | − | 0.924657i | \(-0.375648\pi\) | |||||||
\(468\) | 4.01487 | + | 1.46129i | 0.185587 | + | 0.0675483i | ||||
\(469\) | −0.649364 | + | 3.68273i | −0.0299848 | + | 0.170052i | ||||
\(470\) | 4.53355 | − | 7.85235i | 0.209117 | − | 0.362202i | ||||
\(471\) | 0.444968 | + | 0.770708i | 0.0205031 | + | 0.0355123i | ||||
\(472\) | −0.853994 | + | 0.310828i | −0.0393083 | + | 0.0143070i | ||||
\(473\) | 0.344209 | − | 0.596188i | 0.0158268 | − | 0.0274128i | ||||
\(474\) | 0.921708 | − | 0.773405i | 0.0423355 | − | 0.0355237i | ||||
\(475\) | −4.95802 | −0.227489 | ||||||||
\(476\) | 0.0576890 | − | 0.0484068i | 0.00264417 | − | 0.00221872i | ||||
\(477\) | 2.88913 | + | 1.05156i | 0.132284 | + | 0.0481475i | ||||
\(478\) | 3.08981 | + | 17.5232i | 0.141325 | + | 0.801493i | ||||
\(479\) | 0.194564 | − | 1.10343i | 0.00888985 | − | 0.0504169i | −0.980040 | − | 0.198800i | \(-0.936296\pi\) |
0.988930 | + | 0.148383i | \(0.0474068\pi\) | |||||||
\(480\) | −0.182831 | −0.00834505 | ||||||||
\(481\) | 2.21068 | − | 8.47704i | 0.100798 | − | 0.386520i | ||||
\(482\) | −8.72346 | −0.397343 | ||||||||
\(483\) | −0.107522 | + | 0.609785i | −0.00489240 | + | 0.0277462i | ||||
\(484\) | −1.90904 | − | 10.8267i | −0.0867746 | − | 0.492123i | ||||
\(485\) | 1.91369 | + | 0.696526i | 0.0868962 | + | 0.0316276i | ||||
\(486\) | −3.72551 | + | 3.12607i | −0.168992 | + | 0.141801i | ||||
\(487\) | 23.9282 | 1.08429 | 0.542145 | − | 0.840285i | \(-0.317612\pi\) | ||||
0.542145 | + | 0.840285i | \(0.317612\pi\) | |||||||
\(488\) | −8.14706 | + | 6.83619i | −0.368800 | + | 0.309460i | ||||
\(489\) | −1.88910 | + | 3.27201i | −0.0854280 | + | 0.147966i | ||||
\(490\) | 4.51607 | − | 1.64372i | 0.204015 | − | 0.0742555i | ||||
\(491\) | −7.76280 | − | 13.4456i | −0.350330 | − | 0.606790i | 0.635977 | − | 0.771708i | \(-0.280597\pi\) |
−0.986307 | + | 0.164918i | \(0.947264\pi\) | |||||||
\(492\) | −0.626303 | + | 1.08479i | −0.0282359 | + | 0.0489060i | ||||
\(493\) | −0.0261117 | + | 0.148087i | −0.00117601 | + | 0.00666949i | ||||
\(494\) | 6.71003 | + | 2.44225i | 0.301899 | + | 0.109882i | ||||
\(495\) | 0.117415 | + | 0.203370i | 0.00527743 | + | 0.00914078i | ||||
\(496\) | 0.464059 | + | 0.389392i | 0.0208369 | + | 0.0174842i | ||||
\(497\) | 8.43364 | + | 7.07666i | 0.378300 | + | 0.317432i | ||||
\(498\) | −0.125371 | + | 0.0456314i | −0.00561802 | + | 0.00204479i | ||||
\(499\) | −2.46864 | − | 14.0003i | −0.110511 | − | 0.626741i | −0.988875 | − | 0.148748i | \(-0.952476\pi\) |
0.878364 | − | 0.477993i | \(-0.158635\pi\) | |||||||
\(500\) | 0.173648 | + | 0.984808i | 0.00776578 | + | 0.0440419i | ||||
\(501\) | 0.900329 | − | 0.327693i | 0.0402237 | − | 0.0146402i | ||||
\(502\) | 7.98868 | + | 6.70329i | 0.356552 | + | 0.299183i | ||||
\(503\) | −5.96122 | − | 5.00206i | −0.265798 | − | 0.223031i | 0.500142 | − | 0.865944i | \(-0.333281\pi\) |
−0.765939 | + | 0.642913i | \(0.777726\pi\) | |||||||
\(504\) | 2.19712 | + | 3.80552i | 0.0978673 | + | 0.169511i | ||||
\(505\) | 3.52013 | + | 1.28122i | 0.156644 | + | 0.0570136i | ||||
\(506\) | 0.0314281 | − | 0.178238i | 0.00139715 | − | 0.00792363i | ||||
\(507\) | −0.998782 | + | 1.72994i | −0.0443575 | + | 0.0768294i | ||||
\(508\) | 2.29307 | + | 3.97172i | 0.101739 | + | 0.176216i | ||||
\(509\) | 1.92558 | − | 0.700856i | 0.0853500 | − | 0.0310649i | −0.298992 | − | 0.954256i | \(-0.596650\pi\) |
0.384342 | + | 0.923191i | \(0.374428\pi\) | |||||||
\(510\) | 0.00464762 | − | 0.00804991i | 0.000205800 | − | 0.000356456i | ||||
\(511\) | −10.9230 | + | 9.16549i | −0.483205 | + | 0.405457i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −4.14321 | + | 3.47656i | −0.182927 | + | 0.153494i | ||||
\(514\) | −3.36058 | − | 1.22315i | −0.148229 | − | 0.0539509i | ||||
\(515\) | −0.207038 | − | 1.17417i | −0.00912320 | − | 0.0517402i | ||||
\(516\) | 0.276104 | − | 1.56586i | 0.0121548 | − | 0.0689333i | ||||
\(517\) | −0.717743 | −0.0315663 | ||||||||
\(518\) | 7.34585 | − | 5.21728i | 0.322758 | − | 0.229234i | ||||
\(519\) | 1.99596 | 0.0876131 | ||||||||
\(520\) | 0.250093 | − | 1.41835i | 0.0109673 | − | 0.0621986i | ||||
\(521\) | −3.51667 | − | 19.9440i | −0.154068 | − | 0.873764i | −0.959633 | − | 0.281256i | \(-0.909249\pi\) |
0.805564 | − | 0.592508i | \(-0.201862\pi\) | |||||||
\(522\) | −8.24508 | − | 3.00096i | −0.360877 | − | 0.131349i | ||||
\(523\) | 27.3107 | − | 22.9164i | 1.19421 | − | 1.00206i | 0.194438 | − | 0.980915i | \(-0.437712\pi\) |
0.999776 | − | 0.0211499i | \(-0.00673273\pi\) | |||||||
\(524\) | −11.5598 | −0.504994 | ||||||||
\(525\) | −0.207459 | + | 0.174078i | −0.00905424 | + | 0.00759741i | ||||
\(526\) | 15.4116 | − | 26.6936i | 0.671977 | − | 1.16390i | ||||
\(527\) | −0.0289412 | + | 0.0105337i | −0.00126070 | + | 0.000458856i | ||||
\(528\) | 0.00723636 | + | 0.0125337i | 0.000314922 | + | 0.000545461i | ||||
\(529\) | 8.88624 | − | 15.3914i | 0.386358 | − | 0.669192i | ||||
\(530\) | 0.179968 | − | 1.02065i | 0.00781732 | − | 0.0443342i | ||||
\(531\) | 2.53343 | + | 0.922095i | 0.109942 | + | 0.0400155i | ||||
\(532\) | 3.67203 | + | 6.36014i | 0.159203 | + | 0.275747i | ||||
\(533\) | −7.55874 | − | 6.34254i | −0.327405 | − | 0.274726i | ||||
\(534\) | −1.98757 | − | 1.66777i | −0.0860104 | − | 0.0721713i | ||||
\(535\) | −4.46727 | + | 1.62595i | −0.193137 | + | 0.0702960i | ||||
\(536\) | −0.438390 | − | 2.48623i | −0.0189355 | − | 0.107389i | ||||
\(537\) | 0.378246 | + | 2.14514i | 0.0163225 | + | 0.0925696i | ||||
\(538\) | 24.0371 | − | 8.74880i | 1.03631 | − | 0.377188i | ||||
\(539\) | −0.291427 | − | 0.244536i | −0.0125526 | − | 0.0105329i | ||||
\(540\) | 0.835658 | + | 0.701200i | 0.0359610 | + | 0.0301749i | ||||
\(541\) | −14.1090 | − | 24.4375i | −0.606592 | − | 1.05065i | −0.991798 | − | 0.127818i | \(-0.959203\pi\) |
0.385205 | − | 0.922831i | \(-0.374131\pi\) | |||||||
\(542\) | −20.3352 | − | 7.40141i | −0.873472 | − | 0.317918i | ||||
\(543\) | −0.252630 | + | 1.43274i | −0.0108414 | + | 0.0614846i | ||||
\(544\) | −0.0254203 | + | 0.0440293i | −0.00108989 | + | 0.00188774i | ||||
\(545\) | −2.49049 | − | 4.31365i | −0.106681 | − | 0.184777i | ||||
\(546\) | 0.366517 | − | 0.133401i | 0.0156855 | − | 0.00570905i | ||||
\(547\) | 7.96020 | − | 13.7875i | 0.340354 | − | 0.589510i | −0.644145 | − | 0.764904i | \(-0.722787\pi\) |
0.984498 | + | 0.175394i | \(0.0561199\pi\) | |||||||
\(548\) | 5.54433 | − | 4.65225i | 0.236842 | − | 0.198734i | ||||
\(549\) | 31.5502 | 1.34653 | ||||||||
\(550\) | 0.0606393 | − | 0.0508824i | 0.00258567 | − | 0.00216963i | ||||
\(551\) | −13.7800 | − | 5.01549i | −0.587046 | − | 0.213667i | ||||
\(552\) | −0.0725885 | − | 0.411670i | −0.00308957 | − | 0.0175218i | ||||
\(553\) | −1.69273 | + | 9.59995i | −0.0719822 | + | 0.408232i | ||||
\(554\) | 5.37870 | 0.228519 | ||||||||
\(555\) | 0.631769 | − | 0.915245i | 0.0268171 | − | 0.0388500i | ||||
\(556\) | 22.3815 | 0.949186 | ||||||||
\(557\) | 7.66362 | − | 43.4625i | 0.324718 | − | 1.84157i | −0.186931 | − | 0.982373i | \(-0.559854\pi\) |
0.511649 | − | 0.859194i | \(-0.329035\pi\) | |||||||
\(558\) | −0.312065 | − | 1.76981i | −0.0132108 | − | 0.0749219i | ||||
\(559\) | 11.7698 | + | 4.28386i | 0.497810 | + | 0.181188i | ||||
\(560\) | 1.13470 | − | 0.952128i | 0.0479499 | − | 0.0402348i | ||||
\(561\) | −0.000735802 | 0 | −3.10656e−5 | 0 | ||||||
\(562\) | 0.514978 | − | 0.432118i | 0.0217230 | − | 0.0182278i | ||||
\(563\) | 11.7673 | − | 20.3815i | 0.495931 | − | 0.858977i | −0.504058 | − | 0.863670i | \(-0.668160\pi\) |
0.999989 | + | 0.00469259i | \(0.00149370\pi\) | |||||||
\(564\) | −1.55777 | + | 0.566983i | −0.0655941 | + | 0.0238743i | ||||
\(565\) | −1.20966 | − | 2.09520i | −0.0508910 | − | 0.0881458i | ||||
\(566\) | 11.5794 | − | 20.0561i | 0.486719 | − | 0.843023i | ||||
\(567\) | 2.23785 | − | 12.6915i | 0.0939809 | − | 0.532992i | ||||
\(568\) | −6.98423 | − | 2.54205i | −0.293052 | − | 0.106662i | ||||
\(569\) | −8.25009 | − | 14.2896i | −0.345862 | − | 0.599050i | 0.639648 | − | 0.768668i | \(-0.279080\pi\) |
−0.985510 | + | 0.169617i | \(0.945747\pi\) | |||||||
\(570\) | 0.694403 | + | 0.582674i | 0.0290854 | + | 0.0244055i | ||||
\(571\) | 12.1685 | + | 10.2106i | 0.509237 | + | 0.427301i | 0.860861 | − | 0.508841i | \(-0.169926\pi\) |
−0.351624 | + | 0.936141i | \(0.614370\pi\) | |||||||
\(572\) | −0.107131 | + | 0.0389926i | −0.00447939 | + | 0.00163036i | ||||
\(573\) | −0.129688 | − | 0.735499i | −0.00541781 | − | 0.0307259i | ||||
\(574\) | −1.76223 | − | 9.99411i | −0.0735541 | − | 0.417146i | ||||
\(575\) | −2.14849 | + | 0.781987i | −0.0895983 | + | 0.0326111i | ||||
\(576\) | −2.27253 | − | 1.90688i | −0.0946886 | − | 0.0794532i | ||||
\(577\) | −21.3216 | − | 17.8910i | −0.887631 | − | 0.744811i | 0.0801024 | − | 0.996787i | \(-0.474475\pi\) |
−0.967734 | + | 0.251976i | \(0.918920\pi\) | |||||||
\(578\) | 8.49871 | + | 14.7202i | 0.353500 | + | 0.612279i | ||||
\(579\) | −1.13464 | − | 0.412976i | −0.0471541 | − | 0.0171627i | ||||
\(580\) | −0.513599 | + | 2.91276i | −0.0213260 | + | 0.120946i | ||||
\(581\) | 0.540456 | − | 0.936097i | 0.0224219 | − | 0.0388359i | ||||
\(582\) | −0.186168 | − | 0.322453i | −0.00771692 | − | 0.0133661i | ||||
\(583\) | −0.0770925 | + | 0.0280594i | −0.00319284 | + | 0.00116210i | ||||
\(584\) | 4.81316 | − | 8.33664i | 0.199170 | − | 0.344972i | ||||
\(585\) | −3.27295 | + | 2.74633i | −0.135320 | + | 0.113547i | ||||
\(586\) | 7.98722 | 0.329949 | ||||||||
\(587\) | −10.6676 | + | 8.95117i | −0.440299 | + | 0.369454i | −0.835821 | − | 0.549002i | \(-0.815008\pi\) |
0.395522 | + | 0.918456i | \(0.370564\pi\) | |||||||
\(588\) | −0.825678 | − | 0.300522i | −0.0340504 | − | 0.0123933i | ||||
\(589\) | −0.521552 | − | 2.95787i | −0.0214902 | − | 0.121877i | ||||
\(590\) | 0.157812 | − | 0.894995i | 0.00649700 | − | 0.0368463i | ||||
\(591\) | −1.52828 | −0.0628649 | ||||||||
\(592\) | −3.45548 | + | 5.00596i | −0.142019 | + | 0.205744i | ||||
\(593\) | −33.4765 | −1.37472 | −0.687358 | − | 0.726319i | \(-0.741230\pi\) | ||||
−0.687358 | + | 0.726319i | \(0.741230\pi\) | |||||||
\(594\) | 0.0149950 | − | 0.0850406i | 0.000615250 | − | 0.00348926i | ||||
\(595\) | 0.0130770 | + | 0.0741635i | 0.000536106 | + | 0.00304041i | ||||
\(596\) | −8.06460 | − | 2.93528i | −0.330339 | − | 0.120234i | ||||
\(597\) | −1.31596 | + | 1.10422i | −0.0538585 | + | 0.0451926i | ||||
\(598\) | 3.29290 | 0.134657 | ||||||||
\(599\) | 12.3961 | − | 10.4015i | 0.506490 | − | 0.424995i | −0.353402 | − | 0.935472i | \(-0.614975\pi\) |
0.859892 | + | 0.510476i | \(0.170531\pi\) | |||||||
\(600\) | 0.0914155 | − | 0.158336i | 0.00373202 | − | 0.00646405i | ||||
\(601\) | −22.3507 | + | 8.13499i | −0.911704 | + | 0.331833i | −0.754933 | − | 0.655802i | \(-0.772331\pi\) |
−0.156771 | + | 0.987635i | \(0.550109\pi\) | |||||||
\(602\) | 6.44096 | + | 11.1561i | 0.262514 | + | 0.454687i | ||||
\(603\) | −3.74468 | + | 6.48598i | −0.152495 | + | 0.264130i | ||||
\(604\) | −1.00297 | + | 5.68815i | −0.0408104 | + | 0.231447i | ||||
\(605\) | 10.3307 | + | 3.76008i | 0.420004 | + | 0.152869i | ||||
\(606\) | −0.342446 | − | 0.593134i | −0.0139109 | − | 0.0240944i | ||||
\(607\) | 28.6976 | + | 24.0802i | 1.16480 | + | 0.977383i | 0.999960 | − | 0.00893701i | \(-0.00284478\pi\) |
0.164840 | + | 0.986320i | \(0.447289\pi\) | |||||||
\(608\) | −3.79806 | − | 3.18695i | −0.154032 | − | 0.129248i | ||||
\(609\) | −0.752692 | + | 0.273957i | −0.0305006 | + | 0.0111013i | ||||
\(610\) | −1.84679 | − | 10.4737i | −0.0747743 | − | 0.424066i | ||||
\(611\) | −2.26762 | − | 12.8603i | −0.0917380 | − | 0.520272i | ||||
\(612\) | 0.141727 | − | 0.0515843i | 0.00572896 | − | 0.00208517i | ||||
\(613\) | −35.6531 | − | 29.9165i | −1.44002 | − | 1.20832i | −0.939480 | − | 0.342602i | \(-0.888692\pi\) |
−0.500537 | − | 0.865715i | \(-0.666864\pi\) | |||||||
\(614\) | 2.45072 | + | 2.05640i | 0.0989029 | + | 0.0829894i | ||||
\(615\) | −0.626303 | − | 1.08479i | −0.0252550 | − | 0.0437429i | ||||
\(616\) | −0.110183 | − | 0.0401033i | −0.00443939 | − | 0.00161581i | ||||
\(617\) | 3.62412 | − | 20.5534i | 0.145901 | − | 0.827448i | −0.820737 | − | 0.571306i | \(-0.806437\pi\) |
0.966639 | − | 0.256143i | \(-0.0824517\pi\) | |||||||
\(618\) | −0.108993 | + | 0.188782i | −0.00438436 | + | 0.00759393i | ||||
\(619\) | −0.789247 | − | 1.36702i | −0.0317225 | − | 0.0549450i | 0.849728 | − | 0.527221i | \(-0.176766\pi\) |
−0.881451 | + | 0.472276i | \(0.843433\pi\) | |||||||
\(620\) | −0.569253 | + | 0.207191i | −0.0228617 | + | 0.00832099i | ||||
\(621\) | −1.24708 | + | 2.16000i | −0.0500434 | + | 0.0866777i | ||||
\(622\) | 6.27417 | − | 5.26466i | 0.251571 | − | 0.211094i | ||||
\(623\) | 21.0206 | 0.842173 | ||||||||
\(624\) | −0.201713 | + | 0.169258i | −0.00807499 | + | 0.00677572i | ||||
\(625\) | −0.939693 | − | 0.342020i | −0.0375877 | − | 0.0136808i | ||||
\(626\) | 5.41924 | + | 30.7340i | 0.216596 | + | 1.22838i | ||||
\(627\) | 0.0124603 | − | 0.0706658i | 0.000497616 | − | 0.00282212i | ||||
\(628\) | 4.86754 | 0.194236 | ||||||||
\(629\) | −0.132569 | − | 0.279395i | −0.00528589 | − | 0.0111402i | ||||
\(630\) | −4.39423 | −0.175070 | ||||||||
\(631\) | −3.70058 | + | 20.9871i | −0.147318 | + | 0.835481i | 0.818159 | + | 0.574992i | \(0.194995\pi\) |
−0.965477 | + | 0.260489i | \(0.916116\pi\) | |||||||
\(632\) | −1.14277 | − | 6.48099i | −0.0454571 | − | 0.257800i | ||||
\(633\) | −2.90969 | − | 1.05904i | −0.115650 | − | 0.0420931i | ||||
\(634\) | −15.7111 | + | 13.1831i | −0.623966 | + | 0.523570i | ||||
\(635\) | −4.58615 | −0.181996 | ||||||||
\(636\) | −0.145154 | + | 0.121799i | −0.00575574 | + | 0.00482964i | ||||
\(637\) | 3.46079 | − | 5.99427i | 0.137122 | − | 0.237502i | ||||
\(638\) | 0.220009 | − | 0.0800766i | 0.00871023 | − | 0.00317026i | ||||
\(639\) | 11.0245 | + | 19.0950i | 0.436122 | + | 0.755385i | ||||
\(640\) | −0.500000 | + | 0.866025i | −0.0197642 | + | 0.0342327i | ||||
\(641\) | −3.13295 | + | 17.7678i | −0.123744 | + | 0.701788i | 0.858302 | + | 0.513145i | \(0.171520\pi\) |
−0.982046 | + | 0.188642i | \(0.939591\pi\) | |||||||
\(642\) | 0.816755 | + | 0.297274i | 0.0322347 | + | 0.0117325i | ||||
\(643\) | 5.14683 | + | 8.91456i | 0.202971 | + | 0.351556i | 0.949484 | − | 0.313814i | \(-0.101607\pi\) |
−0.746513 | + | 0.665370i | \(0.768274\pi\) | |||||||
\(644\) | 2.59436 | + | 2.17692i | 0.102232 | + | 0.0857828i | ||||
\(645\) | 1.21803 | + | 1.02204i | 0.0479597 | + | 0.0402430i | ||||
\(646\) | 0.236867 | − | 0.0862126i | 0.00931941 | − | 0.00339199i | ||||
\(647\) | 3.26851 | + | 18.5367i | 0.128498 | + | 0.728751i | 0.979168 | + | 0.203051i | \(0.0650856\pi\) |
−0.850670 | + | 0.525700i | \(0.823803\pi\) | |||||||
\(648\) | 1.51079 | + | 8.56810i | 0.0593493 | + | 0.336587i | ||||
\(649\) | −0.0676013 | + | 0.0246049i | −0.00265358 | + | 0.000965825i | ||||
\(650\) | 1.10328 | + | 0.925760i | 0.0432741 | + | 0.0363113i | ||||
\(651\) | −0.125676 | − | 0.105454i | −0.00492561 | − | 0.00413308i | ||||
\(652\) | 10.3325 | + | 17.8964i | 0.404651 | + | 0.700877i | ||||
\(653\) | −5.66335 | − | 2.06129i | −0.221624 | − | 0.0806645i | 0.228822 | − | 0.973468i | \(-0.426513\pi\) |
−0.450446 | + | 0.892804i | \(0.648735\pi\) | |||||||
\(654\) | −0.158137 | + | 0.896842i | −0.00618366 | + | 0.0350693i | ||||
\(655\) | 5.77992 | − | 10.0111i | 0.225840 | − | 0.391166i | ||||
\(656\) | 3.42558 | + | 5.93329i | 0.133747 | + | 0.231656i | ||||
\(657\) | −26.8350 | + | 9.76713i | −1.04693 | + | 0.381052i | ||||
\(658\) | 6.71532 | − | 11.6313i | 0.261790 | − | 0.453434i | ||||
\(659\) | −32.1050 | + | 26.9393i | −1.25063 | + | 1.04940i | −0.254016 | + | 0.967200i | \(0.581752\pi\) |
−0.996615 | + | 0.0822048i | \(0.973804\pi\) | |||||||
\(660\) | −0.0144727 | −0.000563350 | ||||||||
\(661\) | −22.3668 | + | 18.7679i | −0.869966 | + | 0.729988i | −0.964091 | − | 0.265572i | \(-0.914439\pi\) |
0.0941247 | + | 0.995560i | \(0.469995\pi\) | |||||||
\(662\) | 3.17433 | + | 1.15536i | 0.123374 | + | 0.0449044i | ||||
\(663\) | −0.00232467 | − | 0.0131839i | −9.02828e−5 | − | 0.000512019i | ||||
\(664\) | −0.126716 | + | 0.718644i | −0.00491755 | + | 0.0278888i | ||||
\(665\) | −7.34406 | −0.284790 | ||||||||
\(666\) | 17.3984 | − | 4.78700i | 0.674175 | − | 0.185493i | ||||
\(667\) | −6.76241 | −0.261842 | ||||||||
\(668\) | 0.909989 | − | 5.16080i | 0.0352085 | − | 0.199677i | ||||
\(669\) | 0.109421 | + | 0.620555i | 0.00423044 | + | 0.0239920i | ||||
\(670\) | 2.37233 | + | 0.863459i | 0.0916513 | + | 0.0333583i | ||||
\(671\) | −0.644913 | + | 0.541146i | −0.0248966 | + | 0.0208907i | ||||
\(672\) | −0.270818 | −0.0104470 | ||||||||
\(673\) | −24.0205 | + | 20.1556i | −0.925922 | + | 0.776941i | −0.975081 | − | 0.221850i | \(-0.928790\pi\) |
0.0491586 | + | 0.998791i | \(0.484346\pi\) | |||||||
\(674\) | 11.6321 | − | 20.1474i | 0.448051 | − | 0.776047i | ||||
\(675\) | −1.02509 | + | 0.373101i | −0.0394556 | + | 0.0143607i | ||||
\(676\) | 5.46287 | + | 9.46198i | 0.210111 | + | 0.363922i | ||||
\(677\) | 17.6345 | − | 30.5438i | 0.677749 | − | 1.17390i | −0.297909 | − | 0.954594i | \(-0.596289\pi\) |
0.975657 | − | 0.219301i | \(-0.0703776\pi\) | |||||||
\(678\) | −0.0768095 | + | 0.435608i | −0.00294985 | + | 0.0167294i | ||||
\(679\) | 2.83465 | + | 1.03173i | 0.108784 | + | 0.0395941i | ||||
\(680\) | −0.0254203 | − | 0.0440293i | −0.000974825 | − | 0.00168845i | ||||
\(681\) | 1.52045 | + | 1.27581i | 0.0582639 | + | 0.0488892i | ||||
\(682\) | 0.0367344 | + | 0.0308239i | 0.00140663 | + | 0.00118031i | ||||
\(683\) | −9.49658 | + | 3.45647i | −0.363376 | + | 0.132258i | −0.517254 | − | 0.855832i | \(-0.673046\pi\) |
0.153878 | + | 0.988090i | \(0.450824\pi\) | |||||||
\(684\) | 2.55407 | + | 14.4849i | 0.0976574 | + | 0.553843i | ||||
\(685\) | 1.25680 | + | 7.12766i | 0.0480198 | + | 0.272334i | ||||
\(686\) | 16.4329 | − | 5.98107i | 0.627409 | − | 0.228358i | ||||
\(687\) | −1.62581 | − | 1.36422i | −0.0620286 | − | 0.0520482i | ||||
\(688\) | −6.66203 | − | 5.59011i | −0.253987 | − | 0.213121i | ||||
\(689\) | −0.746323 | − | 1.29267i | −0.0284326 | − | 0.0492468i | ||||
\(690\) | 0.392811 | + | 0.142971i | 0.0149541 | + | 0.00544283i | ||||
\(691\) | 5.75179 | − | 32.6200i | 0.218808 | − | 1.24092i | −0.655366 | − | 0.755311i | \(-0.727486\pi\) |
0.874174 | − | 0.485612i | \(-0.161403\pi\) | |||||||
\(692\) | 5.45849 | − | 9.45439i | 0.207501 | − | 0.359402i | ||||
\(693\) | 0.173921 | + | 0.301241i | 0.00660673 | + | 0.0114432i | ||||
\(694\) | −33.2531 | + | 12.1031i | −1.26227 | + | 0.459429i | ||||
\(695\) | −11.1907 | + | 19.3829i | −0.424489 | + | 0.735236i | ||||
\(696\) | 0.414245 | − | 0.347593i | 0.0157019 | − | 0.0131755i | ||||
\(697\) | −0.348318 | −0.0131935 | ||||||||
\(698\) | −8.00283 | + | 6.71517i | −0.302912 | + | 0.254173i | ||||
\(699\) | −2.54739 | − | 0.927174i | −0.0963512 | − | 0.0350690i | ||||
\(700\) | 0.257216 | + | 1.45874i | 0.00972185 | + | 0.0551354i | ||||
\(701\) | −5.68769 | + | 32.2565i | −0.214821 | + | 1.21831i | 0.666396 | + | 0.745598i | \(0.267836\pi\) |
−0.881217 | + | 0.472713i | \(0.843275\pi\) | |||||||
\(702\) | 1.57111 | 0.0592976 | ||||||||
\(703\) | 29.0779 | − | 8.00049i | 1.09669 | − | 0.301744i | ||||
\(704\) | 0.0791590 | 0.00298342 | ||||||||
\(705\) | 0.287865 | − | 1.63256i | 0.0108416 | − | 0.0614859i | ||||
\(706\) | −3.40217 | − | 19.2947i | −0.128043 | − | 0.726165i | ||||
\(707\) | 5.21418 | + | 1.89781i | 0.196100 | + | 0.0713744i | ||||
\(708\) | −0.127284 | + | 0.106804i | −0.00478361 | + | 0.00401393i | ||||
\(709\) | −41.6850 | −1.56551 | −0.782757 | − | 0.622328i | \(-0.786187\pi\) | ||||
−0.782757 | + | 0.622328i | \(0.786187\pi\) | |||||||
\(710\) | 5.69360 | − | 4.77750i | 0.213677 | − | 0.179296i | ||||
\(711\) | −9.76146 | + | 16.9073i | −0.366083 | + | 0.634075i | ||||
\(712\) | −13.3353 | + | 4.85366i | −0.499762 | + | 0.181899i | ||||
\(713\) | −0.692528 | − | 1.19949i | −0.0259354 | − | 0.0449214i | ||||
\(714\) | 0.00688428 | − | 0.0119239i | 0.000257638 | − | 0.000446242i | ||||
\(715\) | 0.0197971 | − | 0.112275i | 0.000740369 | − | 0.00419884i | ||||
\(716\) | 11.1954 | + | 4.07480i | 0.418393 | + | 0.152282i | ||||
\(717\) | 1.62660 | + | 2.81736i | 0.0607467 | + | 0.105216i | ||||
\(718\) | 2.97057 | + | 2.49260i | 0.110861 | + | 0.0930232i | ||||
\(719\) | 11.6882 | + | 9.80755i | 0.435896 | + | 0.365760i | 0.834171 | − | 0.551506i | \(-0.185947\pi\) |
−0.398275 | + | 0.917266i | \(0.630391\pi\) | |||||||
\(720\) | 2.78767 | − | 1.01463i | 0.103890 | − | 0.0378129i | ||||
\(721\) | −0.306675 | − | 1.73924i | −0.0114212 | − | 0.0647728i | ||||
\(722\) | 0.969295 | + | 5.49714i | 0.0360734 | + | 0.204582i | ||||
\(723\) | −1.49873 | + | 0.545494i | −0.0557385 | + | 0.0202871i | ||||
\(724\) | 6.09564 | + | 5.11485i | 0.226543 | + | 0.190092i | ||||
\(725\) | −2.26573 | − | 1.90117i | −0.0841470 | − | 0.0706077i | ||||
\(726\) | −1.00500 | − | 1.74071i | −0.0372990 | − | 0.0646037i | ||||
\(727\) | 39.9521 | + | 14.5414i | 1.48174 | + | 0.539310i | 0.951261 | − | 0.308387i | \(-0.0997893\pi\) |
0.530481 | + | 0.847697i | \(0.322012\pi\) | |||||||
\(728\) | 0.370449 | − | 2.10092i | 0.0137298 | − | 0.0778654i | ||||
\(729\) | 12.6058 | − | 21.8339i | 0.466883 | − | 0.808664i | ||||
\(730\) | 4.81316 | + | 8.33664i | 0.178143 | + | 0.308553i | ||||
\(731\) | 0.415479 | − | 0.151222i | 0.0153671 | − | 0.00559315i | ||||
\(732\) | −0.972225 | + | 1.68394i | −0.0359345 | + | 0.0622403i | ||||
\(733\) | −9.33672 | + | 7.83443i | −0.344859 | + | 0.289371i | −0.798722 | − | 0.601700i | \(-0.794490\pi\) |
0.453863 | + | 0.891072i | \(0.350046\pi\) | |||||||
\(734\) | 7.13747 | 0.263449 | ||||||||
\(735\) | 0.673099 | − | 0.564797i | 0.0248276 | − | 0.0208328i | ||||
\(736\) | −2.14849 | − | 0.781987i | −0.0791945 | − | 0.0288244i | ||||
\(737\) | −0.0347025 | − | 0.196808i | −0.00127828 | − | 0.00724950i | ||||
\(738\) | 3.52931 | − | 20.0157i | 0.129916 | − | 0.736789i | ||||
\(739\) | −39.9545 | −1.46975 | −0.734875 | − | 0.678202i | \(-0.762759\pi\) | ||||
−0.734875 | + | 0.678202i | \(0.762759\pi\) | |||||||
\(740\) | −2.60755 | − | 5.49552i | −0.0958554 | − | 0.202019i | ||||
\(741\) | 1.30554 | 0.0479600 | ||||||||
\(742\) | 0.266578 | − | 1.51184i | 0.00978638 | − | 0.0555013i | ||||
\(743\) | −2.36334 | − | 13.4032i | −0.0867027 | − | 0.491716i | −0.996976 | − | 0.0777080i | \(-0.975240\pi\) |
0.910273 | − | 0.414008i | \(-0.135871\pi\) | |||||||
\(744\) | 0.104077 | + | 0.0378809i | 0.00381565 | + | 0.00138878i | ||||
\(745\) | 6.57432 | − | 5.51651i | 0.240865 | − | 0.202109i | ||||
\(746\) | 21.7080 | 0.794787 | ||||||||
\(747\) | 1.65833 | − | 1.39151i | 0.0606752 | − | 0.0509125i | ||||
\(748\) | −0.00201225 | + | 0.00348531i | −7.35750e−5 | + | 0.000127436i | ||||
\(749\) | −6.61713 | + | 2.40844i | −0.241785 | + | 0.0880024i | ||||
\(750\) | 0.0914155 | + | 0.158336i | 0.00333802 | + | 0.00578162i | ||||
\(751\) | −21.1322 | + | 36.6020i | −0.771124 | + | 1.33563i | 0.165824 | + | 0.986155i | \(0.446972\pi\) |
−0.936948 | + | 0.349470i | \(0.886362\pi\) | |||||||
\(752\) | −1.57449 | + | 8.92936i | −0.0574156 | + | 0.325620i | ||||
\(753\) | 1.79166 | + | 0.652112i | 0.0652918 | + | 0.0237643i | ||||
\(754\) | 2.12988 | + | 3.68906i | 0.0775655 | + | 0.134347i | ||||
\(755\) | −4.42459 | − | 3.71267i | −0.161027 | − | 0.135118i | ||||
\(756\) | 1.23782 | + | 1.03865i | 0.0450190 | + | 0.0377754i | ||||
\(757\) | −5.75189 | + | 2.09352i | −0.209056 | + | 0.0760901i | −0.444425 | − | 0.895816i | \(-0.646592\pi\) |
0.235370 | + | 0.971906i | \(0.424370\pi\) | |||||||
\(758\) | 0.966436 | + | 5.48093i | 0.0351025 | + | 0.199076i | ||||
\(759\) | −0.00574603 | − | 0.0325874i | −0.000208568 | − | 0.00118285i | ||||
\(760\) | 4.65901 | − | 1.69574i | 0.169000 | − | 0.0615110i | ||||
\(761\) | −1.57994 | − | 1.32573i | −0.0572729 | − | 0.0480577i | 0.613702 | − | 0.789538i | \(-0.289680\pi\) |
−0.670975 | + | 0.741480i | \(0.734124\pi\) | |||||||
\(762\) | 0.642320 | + | 0.538971i | 0.0232688 | + | 0.0195248i | ||||
\(763\) | −3.68903 | − | 6.38959i | −0.133552 | − | 0.231319i | ||||
\(764\) | −3.83855 | − | 1.39712i | −0.138874 | − | 0.0505459i | ||||
\(765\) | −0.0261900 | + | 0.148531i | −0.000946903 | + | 0.00537015i | ||||
\(766\) | 15.8629 | − | 27.4753i | 0.573150 | − | 0.992724i | ||||
\(767\) | −0.654440 | − | 1.13352i | −0.0236305 | − | 0.0409291i | ||||
\(768\) | 0.171805 | − | 0.0625319i | 0.00619948 | − | 0.00225642i | ||||
\(769\) | −0.997039 | + | 1.72692i | −0.0359541 | + | 0.0622744i | −0.883443 | − | 0.468540i | \(-0.844780\pi\) |
0.847488 | + | 0.530814i | \(0.178114\pi\) | |||||||
\(770\) | 0.0898219 | − | 0.0753695i | 0.00323696 | − | 0.00271613i | ||||
\(771\) | −0.653850 | −0.0235478 | ||||||||
\(772\) | −5.05915 | + | 4.24513i | −0.182083 | + | 0.152786i | ||||
\(773\) | −15.6236 | − | 5.68651i | −0.561941 | − | 0.204530i | 0.0454031 | − | 0.998969i | \(-0.485543\pi\) |
−0.607344 | + | 0.794439i | \(0.707765\pi\) | |||||||
\(774\) | 4.48000 | + | 25.4073i | 0.161030 | + | 0.913248i | ||||
\(775\) | 0.105194 | − | 0.596583i | 0.00377867 | − | 0.0214299i | ||||
\(776\) | −2.03651 | −0.0731063 | ||||||||
\(777\) | 0.935807 | − | 1.35570i | 0.0335719 | − | 0.0486356i | ||||
\(778\) | −12.2365 | −0.438702 | ||||||||
\(779\) | 5.89852 | − | 33.4522i | 0.211336 | − | 1.19855i | ||||
\(780\) | −0.0457247 | − | 0.259318i | −0.00163721 | − | 0.00928506i | ||||
\(781\) | −0.552865 | − | 0.201226i | −0.0197831 | − | 0.00720045i | ||||
\(782\) | 0.0890457 | − | 0.0747182i | 0.00318427 | − | 0.00267192i | ||||
\(783\) | −3.22648 | −0.115305 | ||||||||
\(784\) | −3.68154 | + | 3.08918i | −0.131483 | + | 0.110328i | ||||
\(785\) | −2.43377 | + | 4.21541i | −0.0868649 | + | 0.150454i | ||||
\(786\) | −1.98604 | + | 0.722858i | −0.0708395 | + | 0.0257835i | ||||
\(787\) | 26.2485 | + | 45.4638i | 0.935659 | + | 1.62061i | 0.773455 | + | 0.633852i | \(0.218527\pi\) |
0.162204 | + | 0.986757i | \(0.448140\pi\) | |||||||
\(788\) | −4.17948 | + | 7.23908i | −0.148888 | + | 0.257881i | ||||
\(789\) | 0.978582 | − | 5.54981i | 0.0348384 | − | 0.197579i | ||||
\(790\) | 6.18409 | + | 2.25082i | 0.220020 | + | 0.0800807i | ||||
\(791\) | −1.79181 | − | 3.10351i | −0.0637096 | − | 0.110348i | ||||
\(792\) | −0.179891 | − | 0.150946i | −0.00639214 | − | 0.00536365i | ||||
\(793\) | −11.7336 | − | 9.84567i | −0.416673 | − | 0.349630i | ||||
\(794\) | 25.9530 | − | 9.44612i | 0.921037 | − | 0.335230i | ||||
\(795\) | −0.0329038 | − | 0.186607i | −0.00116698 | − | 0.00661825i | ||||
\(796\) | 1.63158 | + | 9.25313i | 0.0578297 | + | 0.327969i | ||||
\(797\) | −7.39419 | + | 2.69127i | −0.261916 | + | 0.0953295i | −0.469640 | − | 0.882858i | \(-0.655616\pi\) |
0.207725 | + | 0.978187i | \(0.433394\pi\) | |||||||
\(798\) | 1.02858 | + | 0.863084i | 0.0364115 | + | 0.0305529i | ||||
\(799\) | −0.353129 | − | 0.296311i | −0.0124928 | − | 0.0104827i | ||||
\(800\) | −0.500000 | − | 0.866025i | −0.0176777 | − | 0.0306186i | ||||
\(801\) | 39.5602 | + | 14.3987i | 1.39779 | + | 0.508754i | ||||
\(802\) | −5.15720 | + | 29.2479i | −0.182107 | + | 1.03278i | ||||
\(803\) | 0.381005 | − | 0.659920i | 0.0134454 | − | 0.0232881i | ||||
\(804\) | −0.230786 | − | 0.399733i | −0.00813920 | − | 0.0140975i | ||||
\(805\) | −3.18245 | + | 1.15832i | −0.112167 | + | 0.0408253i | ||||
\(806\) | −0.436235 | + | 0.755580i | −0.0153657 | + | 0.0266142i | ||||
\(807\) | 3.58262 | − | 3.00617i | 0.126114 | − | 0.105822i | ||||
\(808\) | −3.74604 | −0.131785 | ||||||||
\(809\) | −9.19466 | + | 7.71524i | −0.323267 | + | 0.271253i | −0.789950 | − | 0.613171i | \(-0.789893\pi\) |
0.466683 | + | 0.884425i | \(0.345449\pi\) | |||||||
\(810\) | −8.17558 | − | 2.97567i | −0.287261 | − | 0.104554i | ||||
\(811\) | 7.29127 | + | 41.3509i | 0.256031 | + | 1.45203i | 0.793412 | + | 0.608685i | \(0.208303\pi\) |
−0.537381 | + | 0.843340i | \(0.680586\pi\) | |||||||
\(812\) | −0.760767 | + | 4.31453i | −0.0266977 | + | 0.151410i | ||||
\(813\) | −3.95651 | −0.138761 | ||||||||
\(814\) | −0.273532 | + | 0.396267i | −0.00958731 | + | 0.0138891i | ||||
\(815\) | −20.6650 | −0.723863 | ||||||||
\(816\) | −0.00161410 | + | 0.00915402i | −5.65049e−5 | + | 0.000320455i | ||||
\(817\) | 7.48740 | + | 42.4631i | 0.261951 | + | 1.48560i | ||||
\(818\) | −28.8234 | − | 10.4909i | −1.00779 | − | 0.366804i | ||||
\(819\) | −4.84806 | + | 4.06800i | −0.169405 | + | 0.142147i | ||||
\(820\) | −6.85117 | −0.239253 | ||||||||
\(821\) | 6.18818 | − | 5.19250i | 0.215969 | − | 0.181219i | −0.528385 | − | 0.849005i | \(-0.677202\pi\) |
0.744354 | + | 0.667786i | \(0.232758\pi\) | |||||||
\(822\) | 0.661630 | − | 1.14598i | 0.0230770 | − | 0.0399705i | ||||
\(823\) | 12.1931 | − | 4.43793i | 0.425025 | − | 0.154696i | −0.120647 | − | 0.992696i | \(-0.538497\pi\) |
0.545672 | + | 0.837999i | \(0.316275\pi\) | |||||||
\(824\) | 0.596143 | + | 1.03255i | 0.0207676 | + | 0.0359706i | ||||
\(825\) | 0.00723636 | − | 0.0125337i | 0.000251938 | − | 0.000436369i | ||||
\(826\) | 0.233758 | − | 1.32571i | 0.00813349 | − | 0.0461273i | ||||
\(827\) | −22.4519 | − | 8.17184i | −0.780730 | − | 0.284163i | −0.0792532 | − | 0.996855i | \(-0.525254\pi\) |
−0.701477 | + | 0.712692i | \(0.747476\pi\) | |||||||
\(828\) | 3.39135 | + | 5.87400i | 0.117858 | + | 0.204135i | ||||
\(829\) | 12.2407 | + | 10.2712i | 0.425136 | + | 0.356732i | 0.830113 | − | 0.557595i | \(-0.188276\pi\) |
−0.404976 | + | 0.914327i | \(0.632720\pi\) | |||||||
\(830\) | −0.559006 | − | 0.469062i | −0.0194034 | − | 0.0162814i | ||||
\(831\) | 0.924086 | − | 0.336340i | 0.0320562 | − | 0.0116675i | ||||
\(832\) | 0.250093 | + | 1.41835i | 0.00867040 | + | 0.0491723i | ||||
\(833\) | −0.0424284 | − | 0.240623i | −0.00147006 | − | 0.00833710i | ||||
\(834\) | 3.84525 | − | 1.39956i | 0.133150 | − | 0.0484627i | ||||
\(835\) | 4.01439 | + | 3.36847i | 0.138924 | + | 0.116571i | ||||
\(836\) | −0.300651 | − | 0.252276i | −0.0103982 | − | 0.00872515i | ||||
\(837\) | −0.330418 | − | 0.572301i | −0.0114209 | − | 0.0197816i | ||||
\(838\) | −14.5100 | − | 5.28121i | −0.501239 | − | 0.182436i | ||||
\(839\) | −9.25228 | + | 52.4723i | −0.319424 | + | 1.81154i | 0.226841 | + | 0.973932i | \(0.427160\pi\) |
−0.546265 | + | 0.837612i | \(0.683951\pi\) | |||||||
\(840\) | 0.135409 | − | 0.234535i | 0.00467205 | − | 0.00809224i | ||||
\(841\) | 10.1260 | + | 17.5388i | 0.349173 | + | 0.604785i | ||||
\(842\) | −28.6671 | + | 10.4340i | −0.987933 | + | 0.359578i | ||||
\(843\) | 0.0614546 | − | 0.106442i | 0.00211661 | − | 0.00366607i | ||||
\(844\) | −12.9737 | + | 10.8863i | −0.446575 | + | 0.374721i | ||||
\(845\) | −10.9257 | −0.375857 | ||||||||
\(846\) | 20.6052 | − | 17.2899i | 0.708423 | − | 0.594437i | ||||
\(847\) | 15.3024 | + | 5.56961i | 0.525796 | + | 0.191374i | ||||
\(848\) | 0.179968 | + | 1.02065i | 0.00618014 | + | 0.0350493i | ||||
\(849\) | 0.735253 | − | 4.16983i | 0.0252338 | − | 0.143108i | ||||
\(850\) | 0.0508406 | 0.00174382 | ||||||||
\(851\) | 11.3387 | − | 8.05312i | 0.388685 | − | 0.276058i | ||||
\(852\) | −1.35889 | −0.0465546 | ||||||||
\(853\) | 4.33113 | − | 24.5631i | 0.148295 | − | 0.841023i | −0.816367 | − | 0.577533i | \(-0.804015\pi\) |
0.964662 | − | 0.263490i | \(-0.0848736\pi\) | |||||||
\(854\) | −2.73555 | − | 15.5141i | −0.0936087 | − | 0.530881i | ||||
\(855\) | −13.8213 | − | 5.03054i | −0.472679 | − | 0.172041i | ||||
\(856\) | 3.64175 | − | 3.05579i | 0.124472 | − | 0.104445i | ||||
\(857\) | −6.49761 | −0.221954 | −0.110977 | − | 0.993823i | \(-0.535398\pi\) | ||||
−0.110977 | + | 0.993823i | \(0.535398\pi\) | |||||||
\(858\) | −0.0159674 | + | 0.0133983i | −0.000545119 | + | 0.000457409i | ||||
\(859\) | 4.62225 | − | 8.00597i | 0.157709 | − | 0.273160i | −0.776333 | − | 0.630323i | \(-0.782922\pi\) |
0.934042 | + | 0.357163i | \(0.116256\pi\) | |||||||
\(860\) | 8.17219 | − | 2.97443i | 0.278669 | − | 0.101427i | ||||
\(861\) | −0.927710 | − | 1.60684i | −0.0316163 | − | 0.0547610i | ||||
\(862\) | 17.4556 | − | 30.2340i | 0.594540 | − | 1.02977i | ||||
\(863\) | 1.52556 | − | 8.65191i | 0.0519308 | − | 0.294514i | −0.947771 | − | 0.318953i | \(-0.896669\pi\) |
0.999701 | + | 0.0244387i | \(0.00777987\pi\) | |||||||
\(864\) | −1.02509 | − | 0.373101i | −0.0348741 | − | 0.0126932i | ||||
\(865\) | 5.45849 | + | 9.45439i | 0.185594 | + | 0.321459i | ||||
\(866\) | 12.2431 | + | 10.2732i | 0.416036 | + | 0.349096i | ||||
\(867\) | 2.38060 | + | 1.99756i | 0.0808494 | + | 0.0678407i | ||||
\(868\) | −0.843205 | + | 0.306901i | −0.0286202 | + | 0.0104169i | ||||
\(869\) | −0.0904608 | − | 0.513028i | −0.00306867 | − | 0.0174033i | ||||
\(870\) | 0.0939018 | + | 0.532543i | 0.00318357 | + | 0.0180549i | ||||
\(871\) | 3.41670 | − | 1.24358i | 0.115770 | − | 0.0421370i | ||||
\(872\) | 3.81565 | + | 3.20171i | 0.129214 | + | 0.108424i | ||||
\(873\) | 4.62802 | + | 3.88337i | 0.156635 | + | 0.131432i | ||||
\(874\) | 5.66795 | + | 9.81718i | 0.191721 | + | 0.332071i | ||||
\(875\) | −1.39192 | − | 0.506617i | −0.0470554 | − | 0.0171268i | ||||
\(876\) | 0.305619 | − | 1.73325i | 0.0103259 | − | 0.0585611i | ||||
\(877\) | −24.7972 | + | 42.9500i | −0.837341 | + | 1.45032i | 0.0547685 | + | 0.998499i | \(0.482558\pi\) |
−0.892110 | + | 0.451819i | \(0.850775\pi\) | |||||||
\(878\) | 8.74405 | + | 15.1451i | 0.295097 | + | 0.511124i | ||||
\(879\) | 1.37224 | − | 0.499456i | 0.0462846 | − | 0.0168462i | ||||
\(880\) | −0.0395795 | + | 0.0685537i | −0.00133422 | + | 0.00231094i | ||||
\(881\) | −12.2587 | + | 10.2862i | −0.413005 | + | 0.346552i | −0.825495 | − | 0.564410i | \(-0.809104\pi\) |
0.412490 | + | 0.910962i | \(0.364659\pi\) | |||||||
\(882\) | 14.2571 | 0.480060 | ||||||||
\(883\) | 11.8550 | − | 9.94752i | 0.398952 | − | 0.334761i | −0.421136 | − | 0.906997i | \(-0.638369\pi\) |
0.820088 | + | 0.572237i | \(0.193924\pi\) | |||||||
\(884\) | −0.0688062 | − | 0.0250434i | −0.00231420 | − | 0.000842301i | ||||
\(885\) | −0.0288529 | − | 0.163633i | −0.000969878 | − | 0.00550045i | ||||
\(886\) | −3.28825 | + | 18.6486i | −0.110471 | + | 0.626512i | ||||
\(887\) | 47.0374 | 1.57936 | 0.789680 | − | 0.613518i | \(-0.210246\pi\) | ||||
0.789680 | + | 0.613518i | \(0.210246\pi\) | |||||||
\(888\) | −0.280637 | + | 1.07613i | −0.00941755 | + | 0.0361124i | ||||
\(889\) | −6.79322 | −0.227837 | ||||||||
\(890\) | 2.46427 | − | 13.9756i | 0.0826024 | − | 0.468462i | ||||
\(891\) | 0.119592 | + | 0.678242i | 0.00400649 | + | 0.0227220i | ||||
\(892\) | 3.23865 | + | 1.17877i | 0.108438 | + | 0.0394683i | ||||
\(893\) | 34.4374 | − | 28.8964i | 1.15241 | − | 0.966983i | ||||
\(894\) | −1.56909 | −0.0524781 | ||||||||
\(895\) | −9.12659 | + | 7.65812i | −0.305068 | + | 0.255983i | ||||
\(896\) | −0.740624 | + | 1.28280i | −0.0247425 | + | 0.0428553i | ||||
\(897\) | 0.565737 | − | 0.205911i | 0.0188894 | − | 0.00687518i | ||||
\(898\) | −9.59202 | − | 16.6139i | −0.320090 | − | 0.554412i | ||||
\(899\) | 0.895866 | − | 1.55169i | 0.0298788 | − | 0.0517516i | ||||
\(900\) | −0.515140 | + | 2.92150i | −0.0171713 | + | 0.0973835i | ||||
\(901\) | −0.0495134 | − | 0.0180214i | −0.00164953 | − | 0.000600380i | ||||
\(902\) | 0.271166 | + | 0.469673i | 0.00902883 | + | 0.0156384i | ||||
\(903\) | 1.80420 | + | 1.51390i | 0.0600399 | + | 0.0503795i | ||||
\(904\) | 1.85331 | + | 1.55512i | 0.0616403 | + | 0.0517224i | ||||
\(905\) | −7.47741 | + | 2.72155i | −0.248557 | + | 0.0904675i | ||||
\(906\) | 0.183375 | + | 1.03997i | 0.00609222 | + | 0.0345507i | ||||
\(907\) | −4.75701 | − | 26.9783i | −0.157954 | − | 0.895800i | −0.956035 | − | 0.293251i | \(-0.905263\pi\) |
0.798082 | − | 0.602549i | \(-0.205848\pi\) | |||||||
\(908\) | 10.2013 | − | 3.71297i | 0.338542 | − | 0.123219i | ||||
\(909\) | 8.51298 | + | 7.14324i | 0.282358 | + | 0.236926i | ||||
\(910\) | 1.63423 | + | 1.37128i | 0.0541741 | + | 0.0454575i | ||||
\(911\) | −23.1390 | − | 40.0779i | −0.766628 | − | 1.32784i | −0.939382 | − | 0.342874i | \(-0.888600\pi\) |
0.172753 | − | 0.984965i | \(-0.444734\pi\) | |||||||
\(912\) | −0.851812 | − | 0.310034i | −0.0282063 | − | 0.0102663i | ||||
\(913\) | −0.0100307 | + | 0.0568871i | −0.000331969 | + | 0.00188269i | ||||
\(914\) | −7.99104 | + | 13.8409i | −0.264320 | + | 0.457816i | ||||
\(915\) | −0.972225 | − | 1.68394i | −0.0321408 | − | 0.0556694i | ||||
\(916\) | −10.9082 | + | 3.97025i | −0.360417 | + | 0.131181i | ||||
\(917\) | 8.56149 | − | 14.8289i | 0.282725 | − | 0.489695i | ||||
\(918\) | 0.0424854 | − | 0.0356495i | 0.00140223 | − | 0.00117661i | ||||
\(919\) | −1.50350 | −0.0495959 | −0.0247980 | − | 0.999692i | \(-0.507894\pi\) | ||||
−0.0247980 | + | 0.999692i | \(0.507894\pi\) | |||||||
\(920\) | 1.75147 | − | 1.46966i | 0.0577442 | − | 0.0484531i | ||||
\(921\) | 0.549636 | + | 0.200051i | 0.0181111 | + | 0.00659190i | ||||
\(922\) | 2.61267 | + | 14.8172i | 0.0860436 | + | 0.487978i | ||||
\(923\) | 1.85881 | − | 10.5418i | 0.0611833 | − | 0.346988i | ||||
\(924\) | −0.0214377 | −0.000705248 | ||||||||
\(925\) | 6.06303 | + | 0.489555i | 0.199351 | + | 0.0160965i | ||||
\(926\) | 15.8109 | 0.519579 | ||||||||
\(927\) | 0.614194 | − | 3.48327i | 0.0201728 | − | 0.114406i | ||||
\(928\) | −0.513599 | − | 2.91276i | −0.0168597 | − | 0.0956162i | ||||
\(929\) | 46.8233 | + | 17.0423i | 1.53622 | + | 0.559140i | 0.965136 | − | 0.261749i | \(-0.0842992\pi\) |
0.571088 | + | 0.820889i | \(0.306521\pi\) | |||||||
\(930\) | −0.0848444 | + | 0.0711929i | −0.00278216 | + | 0.00233451i | ||||
\(931\) | 23.8278 | 0.780923 | ||||||||
\(932\) | −11.3583 | + | 9.53076i | −0.372054 | + | 0.312190i | ||||
\(933\) | 0.748725 | − | 1.29683i | 0.0245122 | − | 0.0424563i | ||||
\(934\) | −24.7897 | + | 9.02272i | −0.811144 | + | 0.295232i | ||||
\(935\) | −0.00201225 | − | 0.00348531i | −6.58075e−5 | − | 0.000113982i | ||||
\(936\) | 2.13627 | − | 3.70012i | 0.0698261 | − | 0.120942i | ||||
\(937\) | 5.09571 | − | 28.8992i | 0.166470 | − | 0.944095i | −0.781067 | − | 0.624447i | \(-0.785324\pi\) |
0.947536 | − | 0.319648i | \(-0.103565\pi\) | |||||||
\(938\) | 3.51402 | + | 1.27900i | 0.114737 | + | 0.0417607i | ||||
\(939\) | 2.85291 | + | 4.94138i | 0.0931011 | + | 0.161256i | ||||
\(940\) | −6.94581 | − | 5.82822i | −0.226547 | − | 0.190096i | ||||
\(941\) | 17.0436 | + | 14.3013i | 0.555605 | + | 0.466208i | 0.876834 | − | 0.480794i | \(-0.159651\pi\) |
−0.321229 | + | 0.947002i | \(0.604096\pi\) | |||||||
\(942\) | 0.836267 | − | 0.304376i | 0.0272470 | − | 0.00991711i | ||||
\(943\) | −2.72009 | − | 15.4264i | −0.0885782 | − | 0.502352i | ||||
\(944\) | 0.157812 | + | 0.894995i | 0.00513633 | + | 0.0291296i | ||||
\(945\) | −1.51841 | + | 0.552655i | −0.0493938 | + | 0.0179779i | ||||
\(946\) | −0.527359 | − | 0.442507i | −0.0171459 | − | 0.0143871i | ||||
\(947\) | −37.0668 | − | 31.1027i | −1.20451 | − | 1.01070i | −0.999490 | − | 0.0319443i | \(-0.989830\pi\) |
−0.205019 | − | 0.978758i | \(-0.565725\pi\) | |||||||
\(948\) | −0.601602 | − | 1.04201i | −0.0195391 | − | 0.0338428i | ||||
\(949\) | 13.0280 | + | 4.74179i | 0.422906 | + | 0.153925i | ||||
\(950\) | −0.860951 | + | 4.88269i | −0.0279329 | + | 0.158416i | ||||
\(951\) | −1.87487 | + | 3.24737i | −0.0607969 | + | 0.105303i | ||||
\(952\) | −0.0376538 | − | 0.0652183i | −0.00122037 | − | 0.00211374i | ||||
\(953\) | 1.92656 | − | 0.701211i | 0.0624074 | − | 0.0227144i | −0.310628 | − | 0.950532i | \(-0.600539\pi\) |
0.373035 | + | 0.927817i | \(0.378317\pi\) | |||||||
\(954\) | 1.53727 | − | 2.66263i | 0.0497710 | − | 0.0862060i | ||||
\(955\) | 3.12921 | − | 2.62572i | 0.101259 | − | 0.0849663i | ||||
\(956\) | 17.7935 | 0.575484 | ||||||||
\(957\) | 0.0327912 | − | 0.0275151i | 0.00105999 | − | 0.000889437i | ||||
\(958\) | −1.05288 | − | 0.383216i | −0.0340169 | − | 0.0123812i | ||||
\(959\) | 1.86163 | + | 10.5578i | 0.0601152 | + | 0.340930i | ||||
\(960\) | −0.0317483 | + | 0.180053i | −0.00102467 | + | 0.00581120i | ||||
\(961\) | −30.6330 | −0.988162 | ||||||||
\(962\) | −7.96438 | − | 3.64912i | −0.256782 | − | 0.117652i | ||||
\(963\) | −14.1030 | −0.454462 | ||||||||
\(964\) | −1.51481 | + | 8.59093i | −0.0487888 | + | 0.276695i | ||||
\(965\) | −1.14682 | − | 6.50392i | −0.0369173 | − | 0.209368i | ||||
\(966\) | 0.581850 | + | 0.211776i | 0.0187207 | + | 0.00681379i | ||||
\(967\) | 33.4555 | − | 28.0725i | 1.07586 | − | 0.902750i | 0.0802857 | − | 0.996772i | \(-0.474417\pi\) |
0.995570 | + | 0.0940217i | \(0.0299723\pi\) | |||||||
\(968\) | −10.9937 | −0.353352 | ||||||||
\(969\) | 0.0353039 | − | 0.0296235i | 0.00113412 | − | 0.000951644i | ||||
\(970\) | 1.01825 | − | 1.76367i | 0.0326941 | − | 0.0566279i | ||||
\(971\) | 51.7886 | − | 18.8495i | 1.66197 | − | 0.604909i | 0.671303 | − | 0.741183i | \(-0.265735\pi\) |
0.990671 | + | 0.136274i | \(0.0435127\pi\) | |||||||
\(972\) | 2.43165 | + | 4.21174i | 0.0779952 | + | 0.135092i | ||||
\(973\) | −16.5763 | + | 28.7109i | −0.531411 | + | 0.920430i | ||||
\(974\) | 4.15509 | − | 23.5647i | 0.133138 | − | 0.755061i | ||||
\(975\) | 0.247438 | + | 0.0900600i | 0.00792436 | + | 0.00288423i | ||||
\(976\) | 5.31761 | + | 9.21038i | 0.170213 | + | 0.294817i | ||||
\(977\) | 32.1437 | + | 26.9717i | 1.02837 | + | 0.862902i | 0.990656 | − | 0.136387i | \(-0.0435490\pi\) |
0.0377109 | + | 0.999289i | \(0.487993\pi\) | |||||||
\(978\) | 2.89427 | + | 2.42858i | 0.0925485 | + | 0.0776574i | ||||
\(979\) | −1.05561 | + | 0.384211i | −0.0337375 | + | 0.0122794i | ||||
\(980\) | −0.834536 | − | 4.73289i | −0.0266583 | − | 0.151187i | ||||
\(981\) | −2.56590 | − | 14.5519i | −0.0819229 | − | 0.464608i | ||||
\(982\) | −14.5893 | + | 5.31007i | −0.465563 | + | 0.169451i | ||||
\(983\) | −34.8427 | − | 29.2365i | −1.11131 | − | 0.932498i | −0.113175 | − | 0.993575i | \(-0.536102\pi\) |
−0.998133 | + | 0.0610769i | \(0.980547\pi\) | |||||||
\(984\) | 0.959552 | + | 0.805159i | 0.0305894 | + | 0.0256675i | ||||
\(985\) | −4.17948 | − | 7.23908i | −0.133169 | − | 0.230656i | ||||
\(986\) | 0.141303 | + | 0.0514300i | 0.00450000 | + | 0.00163786i | ||||
\(987\) | 0.426399 | − | 2.41823i | 0.0135724 | − | 0.0769731i | ||||
\(988\) | 3.57033 | − | 6.18400i | 0.113587 | − | 0.196739i | ||||
\(989\) | 9.94193 | + | 17.2199i | 0.316135 | + | 0.547562i | ||||
\(990\) | 0.220669 | − | 0.0803169i | 0.00701332 | − | 0.00255264i | ||||
\(991\) | −17.6444 | + | 30.5610i | −0.560493 | + | 0.970802i | 0.436960 | + | 0.899481i | \(0.356055\pi\) |
−0.997453 | + | 0.0713215i | \(0.977278\pi\) | |||||||
\(992\) | 0.464059 | − | 0.389392i | 0.0147339 | − | 0.0123632i | ||||
\(993\) | 0.617613 | 0.0195993 | ||||||||
\(994\) | 8.43364 | − | 7.07666i | 0.267499 | − | 0.224458i | ||||
\(995\) | −8.82924 | − | 3.21358i | −0.279906 | − | 0.101877i | ||||
\(996\) | 0.0231677 | + | 0.131390i | 0.000734096 | + | 0.00416326i | ||||
\(997\) | 2.41341 | − | 13.6871i | 0.0764335 | − | 0.433476i | −0.922445 | − | 0.386129i | \(-0.873812\pi\) |
0.998878 | − | 0.0473473i | \(-0.0150768\pi\) | |||||||
\(998\) | −14.2163 | −0.450009 | ||||||||
\(999\) | 5.40990 | − | 3.84230i | 0.171162 | − | 0.121565i |
(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 | 370.2.o.a.181.2 | ✓ | 18 | |
37.9 | even | 9 | inner | 370.2.o.a.231.2 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.o.a.181.2 | ✓ | 18 | 1.1 | even | 1 | trivial | |
370.2.o.a.231.2 | yes | 18 | 37.9 | even | 9 | inner |