Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 181.19 | ||
Character | \(\chi\) | \(=\) | 483.181 |
Dual form | 483.2.r.a.475.19 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0752500 | + | 0.523375i | 0.0532098 | + | 0.370082i | 0.998976 | + | 0.0452352i | \(0.0144037\pi\) |
−0.945767 | + | 0.324847i | \(0.894687\pi\) | |||||||
\(3\) | −0.909632 | − | 0.415415i | −0.525176 | − | 0.239840i | ||||
\(4\) | 1.65073 | − | 0.484697i | 0.825363 | − | 0.242349i | ||||
\(5\) | 1.76629 | − | 2.03840i | 0.789907 | − | 0.911602i | −0.207875 | − | 0.978155i | \(-0.566655\pi\) |
0.997783 | + | 0.0665536i | \(0.0212003\pi\) | |||||||
\(6\) | 0.148968 | − | 0.507339i | 0.0608160 | − | 0.207120i | ||||
\(7\) | 2.39009 | + | 1.13467i | 0.903369 | + | 0.428864i | ||||
\(8\) | 0.817203 | + | 1.78943i | 0.288925 | + | 0.632657i | ||||
\(9\) | 0.654861 | + | 0.755750i | 0.218287 | + | 0.251917i | ||||
\(10\) | 1.19976 | + | 0.771041i | 0.379398 | + | 0.243825i | ||||
\(11\) | −2.70050 | − | 0.388273i | −0.814231 | − | 0.117069i | −0.277396 | − | 0.960756i | \(-0.589471\pi\) |
−0.536835 | + | 0.843687i | \(0.680380\pi\) | |||||||
\(12\) | −1.70290 | − | 0.244841i | −0.491586 | − | 0.0706794i | ||||
\(13\) | 0.411813 | − | 0.640793i | 0.114216 | − | 0.177724i | −0.779439 | − | 0.626478i | \(-0.784496\pi\) |
0.893655 | + | 0.448754i | \(0.148132\pi\) | |||||||
\(14\) | −0.414003 | + | 1.33630i | −0.110647 | + | 0.357141i | ||||
\(15\) | −2.45345 | + | 1.12046i | −0.633479 | + | 0.289300i | ||||
\(16\) | 2.01956 | − | 1.29790i | 0.504891 | − | 0.324474i | ||||
\(17\) | 0.483157 | + | 0.141868i | 0.117183 | + | 0.0344079i | 0.339798 | − | 0.940498i | \(-0.389641\pi\) |
−0.222615 | + | 0.974906i | \(0.571459\pi\) | |||||||
\(18\) | −0.346262 | + | 0.399608i | −0.0816148 | + | 0.0941885i | ||||
\(19\) | −0.0399038 | + | 0.0117168i | −0.00915457 | + | 0.00268802i | −0.286307 | − | 0.958138i | \(-0.592428\pi\) |
0.277152 | + | 0.960826i | \(0.410609\pi\) | |||||||
\(20\) | 1.92765 | − | 4.22096i | 0.431035 | − | 0.943836i | ||||
\(21\) | −1.70274 | − | 2.02501i | −0.371569 | − | 0.441893i | ||||
\(22\) | − | 1.44259i | − | 0.307562i | ||||||
\(23\) | −3.73829 | − | 3.00420i | −0.779487 | − | 0.626418i | ||||
\(24\) | − | 1.96720i | − | 0.401552i | ||||||
\(25\) | −0.323746 | − | 2.25170i | −0.0647492 | − | 0.450340i | ||||
\(26\) | 0.366364 | + | 0.167313i | 0.0718499 | + | 0.0328128i | ||||
\(27\) | −0.281733 | − | 0.959493i | −0.0542195 | − | 0.184655i | ||||
\(28\) | 4.49536 | + | 0.714557i | 0.849542 | + | 0.135039i | ||||
\(29\) | 3.79441 | + | 1.11414i | 0.704603 | + | 0.206890i | 0.614356 | − | 0.789029i | \(-0.289416\pi\) |
0.0902476 | + | 0.995919i | \(0.471234\pi\) | |||||||
\(30\) | −0.771041 | − | 1.19976i | −0.140772 | − | 0.219046i | ||||
\(31\) | −5.71157 | + | 2.60838i | −1.02583 | + | 0.468480i | −0.855990 | − | 0.516992i | \(-0.827052\pi\) |
−0.169837 | + | 0.985472i | \(0.554324\pi\) | |||||||
\(32\) | 3.40774 | + | 3.93274i | 0.602409 | + | 0.695217i | ||||
\(33\) | 2.29517 | + | 1.47501i | 0.399537 | + | 0.256767i | ||||
\(34\) | −0.0378924 | + | 0.263548i | −0.00649850 | + | 0.0451981i | ||||
\(35\) | 6.53449 | − | 2.86782i | 1.10453 | − | 0.484750i | ||||
\(36\) | 1.44731 | + | 0.930127i | 0.241218 | + | 0.155021i | ||||
\(37\) | 4.10731 | − | 3.55900i | 0.675238 | − | 0.585097i | −0.248263 | − | 0.968693i | \(-0.579860\pi\) |
0.923501 | + | 0.383596i | \(0.125314\pi\) | |||||||
\(38\) | −0.00913506 | − | 0.0200030i | −0.00148190 | − | 0.00324491i | ||||
\(39\) | −0.640793 | + | 0.411813i | −0.102609 | + | 0.0659428i | ||||
\(40\) | 5.09099 | + | 1.49485i | 0.804956 | + | 0.236356i | ||||
\(41\) | −5.63279 | − | 4.88084i | −0.879694 | − | 0.762259i | 0.0926782 | − | 0.995696i | \(-0.470457\pi\) |
−0.972372 | + | 0.233437i | \(0.925003\pi\) | |||||||
\(42\) | 0.931708 | − | 1.04356i | 0.143766 | − | 0.161024i | ||||
\(43\) | 8.94510 | + | 4.08509i | 1.36412 | + | 0.622971i | 0.956915 | − | 0.290368i | \(-0.0937777\pi\) |
0.407201 | + | 0.913339i | \(0.366505\pi\) | |||||||
\(44\) | −4.64598 | + | 0.667991i | −0.700408 | + | 0.100703i | ||||
\(45\) | 2.69719 | 0.402074 | ||||||||
\(46\) | 1.29102 | − | 2.18259i | 0.190350 | − | 0.321806i | ||||
\(47\) | − | 0.346933i | − | 0.0506054i | −0.999680 | − | 0.0253027i | \(-0.991945\pi\) | ||
0.999680 | − | 0.0253027i | \(-0.00805497\pi\) | |||||||
\(48\) | −2.37623 | + | 0.341650i | −0.342979 | + | 0.0493129i | ||||
\(49\) | 4.42506 | + | 5.42392i | 0.632151 | + | 0.774845i | ||||
\(50\) | 1.15412 | − | 0.338881i | 0.163218 | − | 0.0479251i | ||||
\(51\) | −0.380561 | − | 0.329758i | −0.0532892 | − | 0.0461753i | ||||
\(52\) | 0.369200 | − | 1.25738i | 0.0511988 | − | 0.174367i | ||||
\(53\) | −1.27514 | − | 1.98415i | −0.175154 | − | 0.272545i | 0.742566 | − | 0.669773i | \(-0.233608\pi\) |
−0.917720 | + | 0.397228i | \(0.869972\pi\) | |||||||
\(54\) | 0.480975 | − | 0.219654i | 0.0654524 | − | 0.0298911i | ||||
\(55\) | −5.56131 | + | 4.81891i | −0.749887 | + | 0.649781i | ||||
\(56\) | −0.0772144 | + | 5.20414i | −0.0103182 | + | 0.695433i | ||||
\(57\) | 0.0411651 | + | 0.00591865i | 0.00545246 | + | 0.000783945i | ||||
\(58\) | −0.297583 | + | 2.06974i | −0.0390746 | + | 0.271770i | ||||
\(59\) | −3.76908 | + | 5.86481i | −0.490693 | + | 0.763533i | −0.994988 | − | 0.0999988i | \(-0.968116\pi\) |
0.504295 | + | 0.863532i | \(0.331752\pi\) | |||||||
\(60\) | −3.50690 | + | 3.03875i | −0.452739 | + | 0.392301i | ||||
\(61\) | 4.33678 | + | 9.49623i | 0.555268 | + | 1.21587i | 0.954278 | + | 0.298921i | \(0.0966267\pi\) |
−0.399010 | + | 0.916947i | \(0.630646\pi\) | |||||||
\(62\) | −1.79496 | − | 2.79301i | −0.227960 | − | 0.354713i | ||||
\(63\) | 0.707651 | + | 2.54936i | 0.0891557 | + | 0.321189i | ||||
\(64\) | 1.34233 | − | 1.54913i | 0.167791 | − | 0.193642i | ||||
\(65\) | −0.578816 | − | 1.97127i | −0.0717932 | − | 0.244505i | ||||
\(66\) | −0.599275 | + | 1.31223i | −0.0737656 | + | 0.161524i | ||||
\(67\) | −12.8470 | + | 1.84712i | −1.56951 | + | 0.225661i | −0.871488 | − | 0.490417i | \(-0.836845\pi\) |
−0.698020 | + | 0.716078i | \(0.745936\pi\) | |||||||
\(68\) | 0.866322 | 0.105057 | ||||||||
\(69\) | 2.15248 | + | 4.28565i | 0.259128 | + | 0.515932i | ||||
\(70\) | 1.99267 | + | 3.20419i | 0.238169 | + | 0.382974i | ||||
\(71\) | −0.383436 | − | 2.66686i | −0.0455055 | − | 0.316498i | −0.999842 | − | 0.0177645i | \(-0.994345\pi\) |
0.954337 | − | 0.298733i | \(-0.0965640\pi\) | |||||||
\(72\) | −0.817203 | + | 1.78943i | −0.0963083 | + | 0.210886i | ||||
\(73\) | −2.43056 | − | 8.27772i | −0.284475 | − | 0.968834i | −0.970469 | − | 0.241226i | \(-0.922450\pi\) |
0.685994 | − | 0.727608i | \(-0.259368\pi\) | |||||||
\(74\) | 2.17177 | + | 1.88185i | 0.252463 | + | 0.218761i | ||||
\(75\) | −0.640901 | + | 2.18271i | −0.0740049 | + | 0.252038i | ||||
\(76\) | −0.0601912 | + | 0.0386825i | −0.00690441 | + | 0.00443719i | ||||
\(77\) | −6.01387 | − | 3.99218i | −0.685345 | − | 0.454951i | ||||
\(78\) | −0.263752 | − | 0.304386i | −0.0298641 | − | 0.0344650i | ||||
\(79\) | 0.221838 | − | 0.345187i | 0.0249588 | − | 0.0388366i | −0.828550 | − | 0.559915i | \(-0.810834\pi\) |
0.853509 | + | 0.521078i | \(0.174470\pi\) | |||||||
\(80\) | 0.921496 | − | 6.40914i | 0.103026 | − | 0.716564i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 2.13064 | − | 3.31535i | 0.235290 | − | 0.366119i | ||||
\(83\) | −8.16416 | − | 9.42195i | −0.896133 | − | 1.03419i | −0.999219 | − | 0.0395204i | \(-0.987417\pi\) |
0.103085 | − | 0.994672i | \(-0.467128\pi\) | |||||||
\(84\) | −3.79228 | − | 2.51742i | −0.413772 | − | 0.274673i | ||||
\(85\) | 1.14258 | − | 0.734289i | 0.123930 | − | 0.0796448i | ||||
\(86\) | −1.46492 | + | 4.98905i | −0.157966 | + | 0.537983i | ||||
\(87\) | −2.98868 | − | 2.58971i | −0.320420 | − | 0.277646i | ||||
\(88\) | −1.51207 | − | 5.14964i | −0.161187 | − | 0.548954i | ||||
\(89\) | −2.18387 | + | 4.78201i | −0.231490 | + | 0.506892i | −0.989356 | − | 0.145518i | \(-0.953515\pi\) |
0.757866 | + | 0.652411i | \(0.226242\pi\) | |||||||
\(90\) | 0.202964 | + | 1.41165i | 0.0213943 | + | 0.148800i | ||||
\(91\) | 1.71136 | − | 1.06428i | 0.179399 | − | 0.111567i | ||||
\(92\) | −7.62702 | − | 3.14717i | −0.795172 | − | 0.328115i | ||||
\(93\) | 6.27898 | 0.651100 | ||||||||
\(94\) | 0.181576 | − | 0.0261067i | 0.0187282 | − | 0.00269271i | ||||
\(95\) | −0.0465980 | + | 0.102035i | −0.00478085 | + | 0.0104686i | ||||
\(96\) | −1.46607 | − | 4.99297i | −0.149630 | − | 0.509593i | ||||
\(97\) | −0.138876 | + | 0.160271i | −0.0141007 | + | 0.0162731i | −0.762756 | − | 0.646686i | \(-0.776154\pi\) |
0.748655 | + | 0.662959i | \(0.230700\pi\) | |||||||
\(98\) | −2.50576 | + | 2.72412i | −0.253120 | + | 0.275177i | ||||
\(99\) | −1.47501 | − | 2.29517i | −0.148244 | − | 0.230673i | ||||
\(100\) | −1.62581 | − | 3.56003i | −0.162581 | − | 0.356003i | ||||
\(101\) | −12.2123 | + | 10.5820i | −1.21517 | + | 1.05295i | −0.218137 | + | 0.975918i | \(0.569998\pi\) |
−0.997029 | + | 0.0770293i | \(0.975456\pi\) | |||||||
\(102\) | 0.143950 | − | 0.223990i | 0.0142532 | − | 0.0221784i | ||||
\(103\) | −0.935789 | + | 6.50856i | −0.0922060 | + | 0.641307i | 0.890341 | + | 0.455294i | \(0.150466\pi\) |
−0.982547 | + | 0.186013i | \(0.940443\pi\) | |||||||
\(104\) | 1.48319 | + | 0.213250i | 0.145438 | + | 0.0209109i | ||||
\(105\) | −7.13532 | − | 0.105868i | −0.696336 | − | 0.0103316i | ||||
\(106\) | 0.942503 | − | 0.816684i | 0.0915440 | − | 0.0793233i | ||||
\(107\) | −1.75185 | + | 0.800042i | −0.169358 | + | 0.0773430i | −0.498290 | − | 0.867010i | \(-0.666038\pi\) |
0.328932 | + | 0.944353i | \(0.393311\pi\) | |||||||
\(108\) | −0.930127 | − | 1.44731i | −0.0895015 | − | 0.139267i | ||||
\(109\) | 1.76274 | − | 6.00333i | 0.168840 | − | 0.575015i | −0.830985 | − | 0.556295i | \(-0.812223\pi\) |
0.999825 | − | 0.0187203i | \(-0.00595919\pi\) | |||||||
\(110\) | −2.94059 | − | 2.54803i | −0.280374 | − | 0.242945i | ||||
\(111\) | −5.21461 | + | 1.53115i | −0.494948 | + | 0.145330i | ||||
\(112\) | 6.29962 | − | 0.810552i | 0.595258 | − | 0.0765899i | ||||
\(113\) | −7.23377 | + | 1.04006i | −0.680496 | + | 0.0978405i | −0.473890 | − | 0.880584i | \(-0.657151\pi\) |
−0.206605 | + | 0.978424i | \(0.566242\pi\) | |||||||
\(114\) | 0.0219902i | 0.00205957i | ||||||||
\(115\) | −12.7267 | + | 2.31387i | −1.18677 | + | 0.215769i | ||||
\(116\) | 6.80355 | 0.631693 | ||||||||
\(117\) | 0.753959 | − | 0.108403i | 0.0697036 | − | 0.0100219i | ||||
\(118\) | −3.35312 | − | 1.53132i | −0.308680 | − | 0.140969i | ||||
\(119\) | 0.993815 | + | 0.887298i | 0.0911029 | + | 0.0813385i | ||||
\(120\) | −4.00994 | − | 3.47463i | −0.366056 | − | 0.317189i | ||||
\(121\) | −3.41248 | − | 1.00199i | −0.310226 | − | 0.0910905i | ||||
\(122\) | −4.64375 | + | 2.98436i | −0.420425 | + | 0.270191i | ||||
\(123\) | 3.09619 | + | 6.77971i | 0.279174 | + | 0.611306i | ||||
\(124\) | −8.16396 | + | 7.07411i | −0.733145 | + | 0.635274i | ||||
\(125\) | 6.18342 | + | 3.97384i | 0.553061 | + | 0.355431i | ||||
\(126\) | −1.28102 | + | 0.562206i | −0.114122 | + | 0.0500853i | ||||
\(127\) | 1.19758 | − | 8.32934i | 0.106268 | − | 0.739109i | −0.865112 | − | 0.501578i | \(-0.832753\pi\) |
0.971380 | − | 0.237531i | \(-0.0763380\pi\) | |||||||
\(128\) | 9.66715 | + | 6.21270i | 0.854464 | + | 0.549131i | ||||
\(129\) | −6.43974 | − | 7.43186i | −0.566988 | − | 0.654339i | ||||
\(130\) | 0.988156 | − | 0.451276i | 0.0866670 | − | 0.0395795i | ||||
\(131\) | 6.84641 | + | 10.6532i | 0.598174 | + | 0.930776i | 0.999887 | + | 0.0150111i | \(0.00477835\pi\) |
−0.401714 | + | 0.915765i | \(0.631585\pi\) | |||||||
\(132\) | 4.50363 | + | 1.32238i | 0.391990 | + | 0.115099i | ||||
\(133\) | −0.108668 | − | 0.0172733i | −0.00942275 | − | 0.00149779i | ||||
\(134\) | −1.93347 | − | 6.58480i | −0.167026 | − | 0.568840i | ||||
\(135\) | −2.45345 | − | 1.12046i | −0.211160 | − | 0.0964334i | ||||
\(136\) | 0.140976 | + | 0.980507i | 0.0120886 | + | 0.0840778i | ||||
\(137\) | 1.92949i | 0.164847i | 0.996597 | + | 0.0824236i | \(0.0262661\pi\) | ||||
−0.996597 | + | 0.0824236i | \(0.973734\pi\) | |||||||
\(138\) | −2.08103 | + | 1.44905i | −0.177149 | + | 0.123351i | ||||
\(139\) | 20.5104i | 1.73967i | 0.493342 | + | 0.869835i | \(0.335775\pi\) | ||||
−0.493342 | + | 0.869835i | \(0.664225\pi\) | |||||||
\(140\) | 9.39664 | − | 7.90124i | 0.794161 | − | 0.667776i | ||||
\(141\) | −0.144121 | + | 0.315582i | −0.0121372 | + | 0.0265768i | ||||
\(142\) | 1.36691 | − | 0.401362i | 0.114709 | − | 0.0336815i | ||||
\(143\) | −1.36090 | + | 1.57057i | −0.113804 | + | 0.131337i | ||||
\(144\) | 2.30342 | + | 0.676344i | 0.191951 | + | 0.0563620i | ||||
\(145\) | 8.97307 | − | 5.76664i | 0.745173 | − | 0.478894i | ||||
\(146\) | 4.14946 | − | 1.89499i | 0.343411 | − | 0.156831i | ||||
\(147\) | −1.77200 | − | 6.77200i | −0.146152 | − | 0.558545i | ||||
\(148\) | 5.05501 | − | 7.86575i | 0.415519 | − | 0.646560i | ||||
\(149\) | 5.55769 | + | 0.799076i | 0.455304 | + | 0.0654628i | 0.366152 | − | 0.930555i | \(-0.380675\pi\) |
0.0891523 | + | 0.996018i | \(0.471584\pi\) | |||||||
\(150\) | −1.19060 | − | 0.171183i | −0.0972124 | − | 0.0139770i | ||||
\(151\) | −14.4632 | − | 9.29492i | −1.17700 | − | 0.756410i | −0.202165 | − | 0.979351i | \(-0.564798\pi\) |
−0.974832 | + | 0.222941i | \(0.928434\pi\) | |||||||
\(152\) | −0.0535759 | − | 0.0618299i | −0.00434558 | − | 0.00501507i | ||||
\(153\) | 0.209184 | + | 0.458049i | 0.0169115 | + | 0.0370311i | ||||
\(154\) | 1.63686 | − | 3.44793i | 0.131902 | − | 0.277842i | ||||
\(155\) | −4.77132 | + | 16.2496i | −0.383242 | + | 1.30520i | ||||
\(156\) | −0.858170 | + | 0.990381i | −0.0687086 | + | 0.0792939i | ||||
\(157\) | −10.6268 | + | 3.12031i | −0.848110 | + | 0.249028i | −0.676779 | − | 0.736186i | \(-0.736625\pi\) |
−0.171331 | + | 0.985214i | \(0.554807\pi\) | |||||||
\(158\) | 0.197356 | + | 0.0901293i | 0.0157008 | + | 0.00717031i | ||||
\(159\) | 0.335659 | + | 2.33456i | 0.0266195 | + | 0.185143i | ||||
\(160\) | 14.0356 | 1.10961 | ||||||||
\(161\) | −5.52608 | − | 11.4220i | −0.435516 | − | 0.900181i | ||||
\(162\) | −0.528757 | −0.0415431 | ||||||||
\(163\) | 1.44285 | + | 10.0353i | 0.113013 | + | 0.786023i | 0.964960 | + | 0.262395i | \(0.0845125\pi\) |
−0.851947 | + | 0.523627i | \(0.824578\pi\) | |||||||
\(164\) | −11.6639 | − | 5.32673i | −0.910799 | − | 0.415948i | ||||
\(165\) | 7.06059 | − | 2.07318i | 0.549667 | − | 0.161397i | ||||
\(166\) | 4.31686 | − | 4.98192i | 0.335053 | − | 0.386672i | ||||
\(167\) | 0.726388 | − | 2.47385i | 0.0562096 | − | 0.191432i | −0.926602 | − | 0.376043i | \(-0.877284\pi\) |
0.982812 | + | 0.184611i | \(0.0591025\pi\) | |||||||
\(168\) | 2.23212 | − | 4.70178i | 0.172211 | − | 0.362750i | ||||
\(169\) | 5.15937 | + | 11.2974i | 0.396875 | + | 0.869034i | ||||
\(170\) | 0.470288 | + | 0.542741i | 0.0360694 | + | 0.0416263i | ||||
\(171\) | −0.0349864 | − | 0.0224844i | −0.00267548 | − | 0.00171943i | ||||
\(172\) | 16.7460 | + | 2.40770i | 1.27687 | + | 0.183586i | ||||
\(173\) | 14.1938 | + | 2.04076i | 1.07914 | + | 0.155156i | 0.658879 | − | 0.752249i | \(-0.271031\pi\) |
0.420257 | + | 0.907405i | \(0.361940\pi\) | |||||||
\(174\) | 1.13049 | − | 1.75908i | 0.0857023 | − | 0.133355i | ||||
\(175\) | 1.78115 | − | 5.74911i | 0.134642 | − | 0.434592i | ||||
\(176\) | −5.95777 | + | 2.72082i | −0.449084 | + | 0.205090i | ||||
\(177\) | 5.86481 | − | 3.76908i | 0.440826 | − | 0.283302i | ||||
\(178\) | −2.66712 | − | 0.783139i | −0.199909 | − | 0.0586987i | ||||
\(179\) | −9.57278 | + | 11.0476i | −0.715503 | + | 0.825734i | −0.990759 | − | 0.135637i | \(-0.956692\pi\) |
0.275256 | + | 0.961371i | \(0.411237\pi\) | |||||||
\(180\) | 4.45233 | − | 1.30732i | 0.331857 | − | 0.0974420i | ||||
\(181\) | 6.24410 | − | 13.6727i | 0.464120 | − | 1.01628i | −0.522409 | − | 0.852695i | \(-0.674966\pi\) |
0.986529 | − | 0.163586i | \(-0.0523062\pi\) | |||||||
\(182\) | 0.685799 | + | 0.815595i | 0.0508348 | + | 0.0604559i | ||||
\(183\) | − | 10.4396i | − | 0.771720i | ||||||
\(184\) | 2.32084 | − | 9.14443i | 0.171095 | − | 0.674136i | ||||
\(185\) | − | 14.6586i | − | 1.07772i | ||||||
\(186\) | 0.472494 | + | 3.28627i | 0.0346449 | + | 0.240961i | ||||
\(187\) | −1.24968 | − | 0.570710i | −0.0913857 | − | 0.0417344i | ||||
\(188\) | −0.168158 | − | 0.572692i | −0.0122642 | − | 0.0417679i | ||||
\(189\) | 0.415340 | − | 2.61295i | 0.0302115 | − | 0.190064i | ||||
\(190\) | −0.0569093 | − | 0.0167101i | −0.00412863 | − | 0.00121228i | ||||
\(191\) | 10.6908 | + | 16.6352i | 0.773557 | + | 1.20368i | 0.974569 | + | 0.224089i | \(0.0719406\pi\) |
−0.201012 | + | 0.979589i | \(0.564423\pi\) | |||||||
\(192\) | −1.86456 | + | 0.851516i | −0.134563 | + | 0.0614529i | ||||
\(193\) | 7.82709 | + | 9.03294i | 0.563406 | + | 0.650206i | 0.963954 | − | 0.266071i | \(-0.0857254\pi\) |
−0.400547 | + | 0.916276i | \(0.631180\pi\) | |||||||
\(194\) | −0.0943323 | − | 0.0606237i | −0.00677267 | − | 0.00435253i | ||||
\(195\) | −0.292384 | + | 2.03357i | −0.0209380 | + | 0.145627i | ||||
\(196\) | 9.93352 | + | 6.80859i | 0.709537 | + | 0.486328i | ||||
\(197\) | −7.62604 | − | 4.90096i | −0.543333 | − | 0.349179i | 0.240008 | − | 0.970771i | \(-0.422850\pi\) |
−0.783341 | + | 0.621592i | \(0.786486\pi\) | |||||||
\(198\) | 1.09024 | − | 0.944697i | 0.0774799 | − | 0.0671367i | ||||
\(199\) | −3.01039 | − | 6.59182i | −0.213401 | − | 0.467282i | 0.772414 | − | 0.635119i | \(-0.219049\pi\) |
−0.985815 | + | 0.167837i | \(0.946322\pi\) | |||||||
\(200\) | 3.76469 | − | 2.41942i | 0.266204 | − | 0.171079i | ||||
\(201\) | 12.4533 | + | 3.65663i | 0.878391 | + | 0.257919i | ||||
\(202\) | −6.45733 | − | 5.59531i | −0.454336 | − | 0.393684i | ||||
\(203\) | 7.80479 | + | 6.96828i | 0.547789 | + | 0.489077i | ||||
\(204\) | −0.788034 | − | 0.359883i | −0.0551734 | − | 0.0251969i | ||||
\(205\) | −19.8982 | + | 2.86093i | −1.38975 | + | 0.199816i | ||||
\(206\) | −3.47684 | −0.242243 | ||||||||
\(207\) | −0.177639 | − | 4.79254i | −0.0123467 | − | 0.333105i | ||||
\(208\) | − | 1.82861i | − | 0.126792i | ||||||
\(209\) | 0.112310 | − | 0.0161477i | 0.00776862 | − | 0.00111696i | ||||
\(210\) | −0.481524 | − | 3.74242i | −0.0332283 | − | 0.258251i | ||||
\(211\) | −17.0012 | + | 4.99201i | −1.17041 | + | 0.343664i | −0.808470 | − | 0.588537i | \(-0.799704\pi\) |
−0.361941 | + | 0.932201i | \(0.617886\pi\) | |||||||
\(212\) | −3.06662 | − | 2.65724i | −0.210616 | − | 0.182500i | ||||
\(213\) | −0.759066 | + | 2.58514i | −0.0520104 | + | 0.177131i | ||||
\(214\) | −0.550549 | − | 0.856671i | −0.0376348 | − | 0.0585608i | ||||
\(215\) | 24.1267 | − | 11.0183i | 1.64543 | − | 0.751441i | ||||
\(216\) | 1.48671 | − | 1.28824i | 0.101158 | − | 0.0876536i | ||||
\(217\) | −16.6108 | − | 0.246456i | −1.12761 | − | 0.0167305i | ||||
\(218\) | 3.27464 | + | 0.470822i | 0.221787 | + | 0.0318881i | ||||
\(219\) | −1.22778 | + | 8.53937i | −0.0829654 | + | 0.577037i | ||||
\(220\) | −6.84450 | + | 10.6502i | −0.461456 | + | 0.718040i | ||||
\(221\) | 0.289878 | − | 0.251181i | 0.0194993 | − | 0.0168962i | ||||
\(222\) | −1.19376 | − | 2.61398i | −0.0801201 | − | 0.175439i | ||||
\(223\) | −6.69005 | − | 10.4099i | −0.447999 | − | 0.697100i | 0.541651 | − | 0.840604i | \(-0.317799\pi\) |
−0.989650 | + | 0.143504i | \(0.954163\pi\) | |||||||
\(224\) | 3.68245 | + | 13.2663i | 0.246044 | + | 0.886389i | ||||
\(225\) | 1.48971 | − | 1.71922i | 0.0993143 | − | 0.114615i | ||||
\(226\) | −1.08868 | − | 3.70771i | −0.0724181 | − | 0.246633i | ||||
\(227\) | −6.59187 | + | 14.4342i | −0.437518 | + | 0.958030i | 0.554529 | + | 0.832164i | \(0.312898\pi\) |
−0.992047 | + | 0.125866i | \(0.959829\pi\) | |||||||
\(228\) | 0.0708212 | − | 0.0101825i | 0.00469025 | − | 0.000674356i | ||||
\(229\) | 19.8868 | 1.31416 | 0.657079 | − | 0.753822i | \(-0.271792\pi\) | ||||
0.657079 | + | 0.753822i | \(0.271792\pi\) | |||||||
\(230\) | −2.16870 | − | 6.48670i | −0.143000 | − | 0.427720i | ||||
\(231\) | 3.81200 | + | 6.12967i | 0.250811 | + | 0.403302i | ||||
\(232\) | 1.10713 | + | 7.70028i | 0.0726869 | + | 0.505548i | ||||
\(233\) | 3.90516 | − | 8.55110i | 0.255835 | − | 0.560201i | −0.737515 | − | 0.675331i | \(-0.764001\pi\) |
0.993351 | + | 0.115129i | \(0.0367283\pi\) | |||||||
\(234\) | 0.113471 | + | 0.386446i | 0.00741782 | + | 0.0252628i | ||||
\(235\) | −0.707190 | − | 0.612784i | −0.0461320 | − | 0.0399736i | ||||
\(236\) | −3.37907 | + | 11.5081i | −0.219959 | + | 0.749111i | ||||
\(237\) | −0.345187 | + | 0.221838i | −0.0224223 | + | 0.0144099i | ||||
\(238\) | −0.389605 | + | 0.586907i | −0.0252544 | + | 0.0380436i | ||||
\(239\) | −7.39539 | − | 8.53473i | −0.478368 | − | 0.552066i | 0.464352 | − | 0.885651i | \(-0.346287\pi\) |
−0.942720 | + | 0.333585i | \(0.891742\pi\) | |||||||
\(240\) | −3.50068 | + | 5.44716i | −0.225968 | + | 0.351613i | ||||
\(241\) | 3.27761 | − | 22.7962i | 0.211129 | − | 1.46844i | −0.558266 | − | 0.829662i | \(-0.688533\pi\) |
0.769395 | − | 0.638773i | \(-0.220558\pi\) | |||||||
\(242\) | 0.267630 | − | 1.86141i | 0.0172039 | − | 0.119656i | ||||
\(243\) | 0.540641 | − | 0.841254i | 0.0346821 | − | 0.0539664i | ||||
\(244\) | 11.7616 | + | 13.5737i | 0.752962 | + | 0.868964i | ||||
\(245\) | 18.8720 | + | 0.560137i | 1.20569 | + | 0.0357858i | ||||
\(246\) | −3.31535 | + | 2.13064i | −0.211379 | + | 0.135845i | ||||
\(247\) | −0.00892485 | + | 0.0303952i | −0.000567874 | + | 0.00193400i | ||||
\(248\) | −9.33502 | − | 8.08884i | −0.592774 | − | 0.513642i | ||||
\(249\) | 3.51237 | + | 11.9620i | 0.222587 | + | 0.758062i | ||||
\(250\) | −1.61451 | + | 3.53528i | −0.102110 | + | 0.223591i | ||||
\(251\) | 3.54996 | + | 24.6905i | 0.224072 | + | 1.55845i | 0.722407 | + | 0.691468i | \(0.243036\pi\) |
−0.498336 | + | 0.866984i | \(0.666055\pi\) | |||||||
\(252\) | 2.40381 | + | 3.86530i | 0.151426 | + | 0.243491i | ||||
\(253\) | 8.92880 | + | 9.56431i | 0.561349 | + | 0.601303i | ||||
\(254\) | 4.44949 | 0.279186 | ||||||||
\(255\) | −1.34436 | + | 0.193290i | −0.0841870 | + | 0.0121043i | ||||
\(256\) | −0.821090 | + | 1.79794i | −0.0513181 | + | 0.112371i | ||||
\(257\) | −8.22374 | − | 28.0075i | −0.512983 | − | 1.74706i | −0.653446 | − | 0.756973i | \(-0.726677\pi\) |
0.140463 | − | 0.990086i | \(-0.455141\pi\) | |||||||
\(258\) | 3.40506 | − | 3.92965i | 0.211990 | − | 0.244649i | ||||
\(259\) | 13.8551 | − | 3.84591i | 0.860916 | − | 0.238973i | ||||
\(260\) | −1.91093 | − | 2.97347i | −0.118511 | − | 0.184407i | ||||
\(261\) | 1.64280 | + | 3.59723i | 0.101687 | + | 0.222663i | ||||
\(262\) | −5.06044 | + | 4.38490i | −0.312635 | + | 0.270900i | ||||
\(263\) | 14.7498 | − | 22.9511i | 0.909510 | − | 1.41523i | −0.000208419 | − | 1.00000i | \(-0.500066\pi\) |
0.909719 | − | 0.415225i | \(-0.136297\pi\) | |||||||
\(264\) | −0.763810 | + | 5.31241i | −0.0470093 | + | 0.326957i | ||||
\(265\) | −6.29677 | − | 0.905338i | −0.386807 | − | 0.0556145i | ||||
\(266\) | 0.000863137 | − | 0.0581742i | 5.29223e−5 | − | 0.00356689i | ||||
\(267\) | 3.97304 | − | 3.44266i | 0.243146 | − | 0.210687i | ||||
\(268\) | −20.3116 | + | 9.27598i | −1.24073 | + | 0.566621i | ||||
\(269\) | −4.33828 | − | 6.75049i | −0.264509 | − | 0.411585i | 0.683440 | − | 0.730007i | \(-0.260483\pi\) |
−0.947949 | + | 0.318423i | \(0.896847\pi\) | |||||||
\(270\) | 0.401796 | − | 1.36839i | 0.0244525 | − | 0.0832777i | ||||
\(271\) | 6.38050 | + | 5.52874i | 0.387588 | + | 0.335847i | 0.826759 | − | 0.562557i | \(-0.190182\pi\) |
−0.439171 | + | 0.898404i | \(0.644728\pi\) | |||||||
\(272\) | 1.15990 | − | 0.340576i | 0.0703290 | − | 0.0206505i | ||||
\(273\) | −1.99882 | + | 0.257182i | −0.120974 | + | 0.0155654i | ||||
\(274\) | −1.00985 | + | 0.145194i | −0.0610070 | + | 0.00877149i | ||||
\(275\) | 6.20642i | 0.374261i | ||||||||
\(276\) | 5.63040 | + | 6.03114i | 0.338910 | + | 0.363032i | ||||
\(277\) | −21.6609 | −1.30148 | −0.650739 | − | 0.759302i | \(-0.725541\pi\) | ||||
−0.650739 | + | 0.759302i | \(0.725541\pi\) | |||||||
\(278\) | −10.7346 | + | 1.54341i | −0.643821 | + | 0.0925675i | ||||
\(279\) | −5.71157 | − | 2.60838i | −0.341942 | − | 0.156160i | ||||
\(280\) | 10.4718 | + | 9.34940i | 0.625807 | + | 0.558734i | ||||
\(281\) | 16.0910 | + | 13.9430i | 0.959911 | + | 0.831768i | 0.985805 | − | 0.167897i | \(-0.0536976\pi\) |
−0.0258935 | + | 0.999665i | \(0.508243\pi\) | |||||||
\(282\) | −0.176013 | − | 0.0516820i | −0.0104814 | − | 0.00307762i | ||||
\(283\) | 17.2007 | − | 11.0542i | 1.02248 | − | 0.657105i | 0.0818824 | − | 0.996642i | \(-0.473907\pi\) |
0.940593 | + | 0.339537i | \(0.110270\pi\) | |||||||
\(284\) | −1.92557 | − | 4.21640i | −0.114261 | − | 0.250197i | ||||
\(285\) | 0.0847740 | − | 0.0734571i | 0.00502158 | − | 0.00435122i | ||||
\(286\) | −0.924403 | − | 0.594078i | −0.0546611 | − | 0.0351286i | ||||
\(287\) | −7.92474 | − | 18.0570i | −0.467782 | − | 1.06587i | ||||
\(288\) | −0.740572 | + | 5.15079i | −0.0436387 | + | 0.303513i | ||||
\(289\) | −14.0880 | − | 9.05381i | −0.828706 | − | 0.532577i | ||||
\(290\) | 3.69334 | + | 4.26234i | 0.216881 | + | 0.250293i | ||||
\(291\) | 0.192905 | − | 0.0880966i | 0.0113083 | − | 0.00516432i | ||||
\(292\) | −8.02437 | − | 12.4862i | −0.469591 | − | 0.730698i | ||||
\(293\) | 2.98957 | + | 0.877817i | 0.174653 | + | 0.0512826i | 0.367890 | − | 0.929869i | \(-0.380080\pi\) |
−0.193237 | + | 0.981152i | \(0.561899\pi\) | |||||||
\(294\) | 3.41096 | − | 1.43701i | 0.198931 | − | 0.0838083i | ||||
\(295\) | 5.29756 | + | 18.0418i | 0.308436 | + | 1.05044i | ||||
\(296\) | 9.72508 | + | 4.44130i | 0.565259 | + | 0.258145i | ||||
\(297\) | 0.388273 | + | 2.70050i | 0.0225299 | + | 0.156699i | ||||
\(298\) | 2.96889i | 0.171983i | ||||||||
\(299\) | −3.46454 | + | 1.15830i | −0.200360 | + | 0.0669864i | ||||
\(300\) | 3.91370i | 0.225958i | ||||||||
\(301\) | 16.7444 | + | 19.9135i | 0.965130 | + | 1.14779i | ||||
\(302\) | 3.77638 | − | 8.26912i | 0.217306 | − | 0.475834i | ||||
\(303\) | 15.5046 | − | 4.55256i | 0.890715 | − | 0.261538i | ||||
\(304\) | −0.0653812 | + | 0.0754539i | −0.00374987 | + | 0.00432758i | ||||
\(305\) | 27.0171 | + | 7.93295i | 1.54700 | + | 0.454239i | ||||
\(306\) | −0.223990 | + | 0.143950i | −0.0128047 | + | 0.00822907i | ||||
\(307\) | −9.12608 | + | 4.16774i | −0.520853 | + | 0.237866i | −0.658452 | − | 0.752622i | \(-0.728789\pi\) |
0.137599 | + | 0.990488i | \(0.456061\pi\) | |||||||
\(308\) | −11.8623 | − | 3.67509i | −0.675915 | − | 0.209407i | ||||
\(309\) | 3.55498 | − | 5.53165i | 0.202235 | − | 0.314685i | ||||
\(310\) | −8.86370 | − | 1.27441i | −0.503424 | − | 0.0723815i | ||||
\(311\) | 26.4381 | + | 3.80123i | 1.49917 | + | 0.215548i | 0.842526 | − | 0.538655i | \(-0.181067\pi\) |
0.656641 | + | 0.754203i | \(0.271977\pi\) | |||||||
\(312\) | −1.26057 | − | 0.810117i | −0.0713655 | − | 0.0458638i | ||||
\(313\) | −7.77399 | − | 8.97166i | −0.439412 | − | 0.507108i | 0.492240 | − | 0.870459i | \(-0.336178\pi\) |
−0.931652 | + | 0.363351i | \(0.881633\pi\) | |||||||
\(314\) | −2.43276 | − | 5.32700i | −0.137289 | − | 0.300620i | ||||
\(315\) | 6.44654 | + | 3.06042i | 0.363221 | + | 0.172435i | ||||
\(316\) | 0.198883 | − | 0.677334i | 0.0111881 | − | 0.0381030i | ||||
\(317\) | 18.0875 | − | 20.8741i | 1.01590 | − | 1.17241i | 0.0309552 | − | 0.999521i | \(-0.490145\pi\) |
0.984942 | − | 0.172887i | \(-0.0553095\pi\) | |||||||
\(318\) | −1.19659 | + | 0.351352i | −0.0671016 | + | 0.0197028i | ||||
\(319\) | −9.81420 | − | 4.48199i | −0.549490 | − | 0.250944i | ||||
\(320\) | −0.786816 | − | 5.47242i | −0.0439843 | − | 0.305918i | ||||
\(321\) | 1.92589 | 0.107493 | ||||||||
\(322\) | 5.56216 | − | 3.75172i | 0.309967 | − | 0.209075i | ||||
\(323\) | −0.0209420 | −0.00116525 | ||||||||
\(324\) | 0.244841 | + | 1.70290i | 0.0136023 | + | 0.0946058i | ||||
\(325\) | −1.57620 | − | 0.719826i | −0.0874317 | − | 0.0399287i | ||||
\(326\) | −5.14364 | + | 1.51031i | −0.284880 | + | 0.0836482i | ||||
\(327\) | −4.09732 | + | 4.72855i | −0.226582 | + | 0.261490i | ||||
\(328\) | 4.13076 | − | 14.0681i | 0.228083 | − | 0.776780i | ||||
\(329\) | 0.393654 | − | 0.829202i | 0.0217029 | − | 0.0457154i | ||||
\(330\) | 1.61636 | + | 3.53933i | 0.0889777 | + | 0.194834i | ||||
\(331\) | −19.1256 | − | 22.0721i | −1.05124 | − | 1.21319i | −0.976394 | − | 0.215995i | \(-0.930700\pi\) |
−0.0748412 | − | 0.997195i | \(-0.523845\pi\) | |||||||
\(332\) | −18.0436 | − | 11.5959i | −0.990271 | − | 0.636408i | ||||
\(333\) | 5.37943 | + | 0.773446i | 0.294791 | + | 0.0423846i | ||||
\(334\) | 1.34941 | + | 0.194016i | 0.0738366 | + | 0.0106161i | ||||
\(335\) | −18.9263 | + | 29.4499i | −1.03405 | + | 1.60902i | ||||
\(336\) | −6.06705 | − | 1.87965i | −0.330985 | − | 0.102544i | ||||
\(337\) | 9.68728 | − | 4.42403i | 0.527700 | − | 0.240992i | −0.133706 | − | 0.991021i | \(-0.542688\pi\) |
0.661405 | + | 0.750029i | \(0.269960\pi\) | |||||||
\(338\) | −5.52456 | + | 3.55042i | −0.300496 | + | 0.193117i | ||||
\(339\) | 7.01212 | + | 2.05895i | 0.380846 | + | 0.111827i | ||||
\(340\) | 1.53017 | − | 1.76591i | 0.0829853 | − | 0.0957701i | ||||
\(341\) | 16.4368 | − | 4.82629i | 0.890105 | − | 0.261358i | ||||
\(342\) | 0.00913506 | − | 0.0200030i | 0.000493967 | − | 0.00108164i | ||||
\(343\) | 4.42194 | + | 17.9846i | 0.238762 | + | 0.971078i | ||||
\(344\) | 19.3449i | 1.04301i | ||||||||
\(345\) | 12.5378 | + | 3.18207i | 0.675012 | + | 0.171317i | ||||
\(346\) | 7.58226i | 0.407625i | ||||||||
\(347\) | −1.85150 | − | 12.8775i | −0.0993939 | − | 0.691300i | −0.977206 | − | 0.212294i | \(-0.931907\pi\) |
0.877812 | − | 0.479005i | \(-0.159003\pi\) | |||||||
\(348\) | −6.18872 | − | 2.82630i | −0.331750 | − | 0.151505i | ||||
\(349\) | −8.98132 | − | 30.5876i | −0.480759 | − | 1.63732i | −0.740806 | − | 0.671719i | \(-0.765556\pi\) |
0.260047 | − | 0.965596i | \(-0.416262\pi\) | |||||||
\(350\) | 3.14298 | + | 0.499590i | 0.167999 | + | 0.0267042i | ||||
\(351\) | −0.730858 | − | 0.214599i | −0.0390103 | − | 0.0114545i | ||||
\(352\) | −7.67562 | − | 11.9435i | −0.409112 | − | 0.636591i | ||||
\(353\) | 24.3233 | − | 11.1081i | 1.29460 | − | 0.591224i | 0.355438 | − | 0.934700i | \(-0.384332\pi\) |
0.939162 | + | 0.343476i | \(0.111604\pi\) | |||||||
\(354\) | 2.41397 | + | 2.78587i | 0.128301 | + | 0.148067i | ||||
\(355\) | −6.11339 | − | 3.92883i | −0.324465 | − | 0.208521i | ||||
\(356\) | −1.28715 | + | 8.95232i | −0.0682187 | + | 0.474472i | ||||
\(357\) | −0.535409 | − | 1.21996i | −0.0283368 | − | 0.0645672i | ||||
\(358\) | −6.50238 | − | 4.17883i | −0.343661 | − | 0.220858i | ||||
\(359\) | 14.1638 | − | 12.2730i | 0.747539 | − | 0.647746i | −0.195395 | − | 0.980725i | \(-0.562599\pi\) |
0.942935 | + | 0.332978i | \(0.108054\pi\) | |||||||
\(360\) | 2.20416 | + | 4.82643i | 0.116169 | + | 0.254375i | ||||
\(361\) | −15.9824 | + | 10.2712i | −0.841177 | + | 0.540592i | ||||
\(362\) | 7.62581 | + | 2.23914i | 0.400804 | + | 0.117687i | ||||
\(363\) | 2.68786 | + | 2.32904i | 0.141076 | + | 0.122243i | ||||
\(364\) | 2.30913 | − | 2.58633i | 0.121031 | − | 0.135560i | ||||
\(365\) | −21.1664 | − | 9.66637i | −1.10790 | − | 0.505961i | ||||
\(366\) | 5.46385 | − | 0.785583i | 0.285600 | − | 0.0410631i | ||||
\(367\) | 4.91850 | 0.256744 | 0.128372 | − | 0.991726i | \(-0.459025\pi\) | ||||
0.128372 | + | 0.991726i | \(0.459025\pi\) | |||||||
\(368\) | −11.4489 | − | 1.21526i | −0.596813 | − | 0.0633498i | ||||
\(369\) | − | 7.45325i | − | 0.388000i | ||||||
\(370\) | 7.67194 | − | 1.10306i | 0.398845 | − | 0.0573453i | ||||
\(371\) | −0.796339 | − | 6.18916i | −0.0413439 | − | 0.321325i | ||||
\(372\) | 10.3649 | − | 3.04341i | 0.537394 | − | 0.157793i | ||||
\(373\) | −11.3212 | − | 9.80988i | −0.586190 | − | 0.507937i | 0.310513 | − | 0.950569i | \(-0.399499\pi\) |
−0.896703 | + | 0.442633i | \(0.854045\pi\) | |||||||
\(374\) | 0.204657 | − | 0.696998i | 0.0105826 | − | 0.0360409i | ||||
\(375\) | −3.97384 | − | 6.18342i | −0.205208 | − | 0.319310i | ||||
\(376\) | 0.620812 | − | 0.283515i | 0.0320159 | − | 0.0146212i | ||||
\(377\) | 2.27652 | − | 1.97261i | 0.117247 | − | 0.101595i | ||||
\(378\) | 1.39881 | + | 0.0207543i | 0.0719468 | + | 0.00106748i | ||||
\(379\) | 12.5623 | + | 1.80619i | 0.645283 | + | 0.0927777i | 0.457184 | − | 0.889372i | \(-0.348858\pi\) |
0.188099 | + | 0.982150i | \(0.439767\pi\) | |||||||
\(380\) | −0.0274643 | + | 0.191018i | −0.00140889 | + | 0.00979904i | ||||
\(381\) | −4.54949 | + | 7.07914i | −0.233077 | + | 0.362675i | ||||
\(382\) | −7.90195 | + | 6.84708i | −0.404299 | + | 0.350327i | ||||
\(383\) | 7.84662 | + | 17.1817i | 0.400944 | + | 0.877944i | 0.997174 | + | 0.0751306i | \(0.0239374\pi\) |
−0.596230 | + | 0.802814i | \(0.703335\pi\) | |||||||
\(384\) | −6.21270 | − | 9.66715i | −0.317041 | − | 0.493325i | ||||
\(385\) | −18.7599 | + | 5.20737i | −0.956093 | + | 0.265392i | ||||
\(386\) | −4.13863 | + | 4.77624i | −0.210651 | + | 0.243104i | ||||
\(387\) | 2.77049 | + | 9.43542i | 0.140832 | + | 0.479630i | ||||
\(388\) | −0.151563 | + | 0.331876i | −0.00769444 | + | 0.0168485i | ||||
\(389\) | 31.8747 | − | 4.58288i | 1.61611 | − | 0.232361i | 0.725863 | − | 0.687840i | \(-0.241441\pi\) |
0.890247 | + | 0.455478i | \(0.150532\pi\) | |||||||
\(390\) | −1.08632 | −0.0550082 | ||||||||
\(391\) | −1.37998 | − | 1.98184i | −0.0697886 | − | 0.100226i | ||||
\(392\) | −6.08952 | + | 12.3508i | −0.307567 | + | 0.623807i | ||||
\(393\) | −1.80221 | − | 12.5346i | −0.0909092 | − | 0.632288i | ||||
\(394\) | 1.99118 | − | 4.36008i | 0.100314 | − | 0.219658i | ||||
\(395\) | −0.311801 | − | 1.06190i | −0.0156884 | − | 0.0534297i | ||||
\(396\) | −3.54731 | − | 3.07376i | −0.178259 | − | 0.154462i | ||||
\(397\) | 9.88014 | − | 33.6487i | 0.495870 | − | 1.68878i | −0.207733 | − | 0.978186i | \(-0.566609\pi\) |
0.703603 | − | 0.710593i | \(-0.251573\pi\) | |||||||
\(398\) | 3.22347 | − | 2.07160i | 0.161578 | − | 0.103840i | ||||
\(399\) | 0.0916727 | + | 0.0608549i | 0.00458937 | + | 0.00304655i | ||||
\(400\) | −3.57630 | − | 4.12727i | −0.178815 | − | 0.206364i | ||||
\(401\) | −14.2342 | + | 22.1488i | −0.710821 | + | 1.10606i | 0.278519 | + | 0.960431i | \(0.410157\pi\) |
−0.989339 | + | 0.145628i | \(0.953480\pi\) | |||||||
\(402\) | −0.976677 | + | 6.79294i | −0.0487122 | + | 0.338801i | ||||
\(403\) | −0.680661 | + | 4.73410i | −0.0339061 | + | 0.235822i | ||||
\(404\) | −15.0301 | + | 23.3872i | −0.747773 | + | 1.16356i | ||||
\(405\) | 1.76629 | + | 2.03840i | 0.0877675 | + | 0.101289i | ||||
\(406\) | −3.05971 | + | 4.60920i | −0.151851 | + | 0.228751i | ||||
\(407\) | −12.4737 | + | 8.01633i | −0.618296 | + | 0.397355i | ||||
\(408\) | 0.279081 | − | 0.950464i | 0.0138166 | − | 0.0470550i | ||||
\(409\) | −11.4268 | − | 9.90134i | −0.565017 | − | 0.489590i | 0.324878 | − | 0.945756i | \(-0.394677\pi\) |
−0.889895 | + | 0.456166i | \(0.849222\pi\) | |||||||
\(410\) | −2.99469 | − | 10.1990i | −0.147897 | − | 0.503691i | ||||
\(411\) | 0.801538 | − | 1.75512i | 0.0395370 | − | 0.0865739i | ||||
\(412\) | 1.60995 | + | 11.1974i | 0.0793164 | + | 0.551657i | ||||
\(413\) | −15.6631 | + | 9.74076i | −0.770728 | + | 0.479311i | ||||
\(414\) | 2.49493 | − | 0.453610i | 0.122619 | − | 0.0222937i | ||||
\(415\) | −33.6260 | −1.65063 | ||||||||
\(416\) | 3.92342 | − | 0.564103i | 0.192362 | − | 0.0276574i | ||||
\(417\) | 8.52034 | − | 18.6569i | 0.417243 | − | 0.913634i | ||||
\(418\) | 0.0169026 | + | 0.0575650i | 0.000826733 | + | 0.00281559i | ||||
\(419\) | 8.46895 | − | 9.77369i | 0.413735 | − | 0.477476i | −0.510183 | − | 0.860066i | \(-0.670422\pi\) |
0.923918 | + | 0.382590i | \(0.124968\pi\) | |||||||
\(420\) | −11.8298 | + | 3.28371i | −0.577234 | + | 0.160229i | ||||
\(421\) | 10.5242 | + | 16.3759i | 0.512917 | + | 0.798115i | 0.997040 | − | 0.0768852i | \(-0.0244975\pi\) |
−0.484123 | + | 0.875000i | \(0.660861\pi\) | |||||||
\(422\) | −3.89203 | − | 8.52237i | −0.189461 | − | 0.414862i | ||||
\(423\) | 0.262195 | − | 0.227193i | 0.0127483 | − | 0.0110465i | ||||
\(424\) | 2.50845 | − | 3.90322i | 0.121821 | − | 0.189557i | ||||
\(425\) | 0.163024 | − | 1.13385i | 0.00790780 | − | 0.0550000i | ||||
\(426\) | −1.41012 | − | 0.202745i | −0.0683205 | − | 0.00982301i | ||||
\(427\) | −0.409766 | + | 27.6176i | −0.0198300 | + | 1.33651i | ||||
\(428\) | −2.50404 | + | 2.16977i | −0.121038 | + | 0.104880i | ||||
\(429\) | 1.89036 | − | 0.863297i | 0.0912673 | − | 0.0416804i | ||||
\(430\) | 7.58223 | + | 11.7982i | 0.365648 | + | 0.568959i | ||||
\(431\) | −5.83839 | + | 19.8837i | −0.281225 | + | 0.957765i | 0.690831 | + | 0.723016i | \(0.257245\pi\) |
−0.972056 | + | 0.234749i | \(0.924573\pi\) | |||||||
\(432\) | −1.81430 | − | 1.57210i | −0.0872905 | − | 0.0756376i | ||||
\(433\) | −33.3745 | + | 9.79963i | −1.60388 | + | 0.470940i | −0.956621 | − | 0.291334i | \(-0.905901\pi\) |
−0.647254 | + | 0.762274i | \(0.724083\pi\) | |||||||
\(434\) | −1.12097 | − | 8.71223i | −0.0538085 | − | 0.418200i | ||||
\(435\) | −10.5577 | + | 1.51797i | −0.506205 | + | 0.0727813i | ||||
\(436\) | − | 10.7643i | − | 0.515514i | ||||||
\(437\) | 0.184372 | + | 0.0760781i | 0.00881969 | + | 0.00363931i | ||||
\(438\) | −4.56169 | −0.217966 | ||||||||
\(439\) | −29.8599 | + | 4.29321i | −1.42514 | + | 0.204904i | −0.811347 | − | 0.584565i | \(-0.801265\pi\) |
−0.613790 | + | 0.789469i | \(0.710356\pi\) | |||||||
\(440\) | −13.1678 | − | 6.01353i | −0.627750 | − | 0.286684i | ||||
\(441\) | −1.20133 | + | 6.89615i | −0.0572060 | + | 0.328388i | ||||
\(442\) | 0.153275 | + | 0.132814i | 0.00729055 | + | 0.00631730i | ||||
\(443\) | 1.81632 | + | 0.533321i | 0.0862962 | + | 0.0253388i | 0.324596 | − | 0.945853i | \(-0.394772\pi\) |
−0.238299 | + | 0.971192i | \(0.576590\pi\) | |||||||
\(444\) | −7.86575 | + | 5.05501i | −0.373292 | + | 0.239900i | ||||
\(445\) | 5.89033 | + | 12.8980i | 0.279228 | + | 0.611425i | ||||
\(446\) | 4.94487 | − | 4.28475i | 0.234146 | − | 0.202889i | ||||
\(447\) | −4.72351 | − | 3.03561i | −0.223414 | − | 0.143580i | ||||
\(448\) | 4.96604 | − | 2.17947i | 0.234623 | − | 0.102970i | ||||
\(449\) | 2.74453 | − | 19.0886i | 0.129522 | − | 0.900847i | −0.816639 | − | 0.577149i | \(-0.804165\pi\) |
0.946161 | − | 0.323697i | \(-0.104926\pi\) | |||||||
\(450\) | 1.01190 | + | 0.650308i | 0.0477014 | + | 0.0306558i | ||||
\(451\) | 13.3162 | + | 15.3678i | 0.627037 | + | 0.723640i | ||||
\(452\) | −11.4369 | + | 5.22304i | −0.537945 | + | 0.245671i | ||||
\(453\) | 9.29492 | + | 14.4632i | 0.436714 | + | 0.679540i | ||||
\(454\) | −8.05053 | − | 2.36385i | −0.377830 | − | 0.110941i | ||||
\(455\) | 0.853310 | − | 5.36826i | 0.0400038 | − | 0.251668i | ||||
\(456\) | 0.0230493 | + | 0.0784987i | 0.00107938 | + | 0.00367604i | ||||
\(457\) | −2.88065 | − | 1.31555i | −0.134751 | − | 0.0615388i | 0.346898 | − | 0.937903i | \(-0.387235\pi\) |
−0.481650 | + | 0.876364i | \(0.659962\pi\) | |||||||
\(458\) | 1.49648 | + | 10.4083i | 0.0699260 | + | 0.486346i | ||||
\(459\) | − | 0.503554i | − | 0.0235039i | ||||||
\(460\) | −19.8867 | + | 9.98814i | −0.927222 | + | 0.465699i | ||||
\(461\) | 37.0377i | 1.72502i | 0.506042 | + | 0.862509i | \(0.331108\pi\) | ||||
−0.506042 | + | 0.862509i | \(0.668892\pi\) | |||||||
\(462\) | −2.92126 | + | 2.45637i | −0.135909 | + | 0.114280i | ||||
\(463\) | 8.81360 | − | 19.2991i | 0.409603 | − | 0.896905i | −0.586603 | − | 0.809875i | \(-0.699535\pi\) |
0.996206 | − | 0.0870304i | \(-0.0277377\pi\) | |||||||
\(464\) | 9.10908 | − | 2.67467i | 0.422879 | − | 0.124168i | ||||
\(465\) | 11.0905 | − | 12.7991i | 0.514309 | − | 0.593544i | ||||
\(466\) | 4.76930 | + | 1.40039i | 0.220933 | + | 0.0648719i | ||||
\(467\) | −12.9449 | + | 8.31916i | −0.599017 | + | 0.384965i | −0.804724 | − | 0.593649i | \(-0.797687\pi\) |
0.205707 | + | 0.978614i | \(0.434051\pi\) | |||||||
\(468\) | 1.19204 | − | 0.544386i | 0.0551020 | − | 0.0251642i | ||||
\(469\) | −32.8013 | − | 10.1623i | −1.51462 | − | 0.469251i | ||||
\(470\) | 0.267500 | − | 0.416238i | 0.0123389 | − | 0.0191996i | ||||
\(471\) | 10.9627 | + | 1.57620i | 0.505134 | + | 0.0726273i | ||||
\(472\) | −13.5747 | − | 1.95175i | −0.624828 | − | 0.0898367i | ||||
\(473\) | −22.5701 | − | 14.5049i | −1.03778 | − | 0.666938i | ||||
\(474\) | −0.142080 | − | 0.163969i | −0.00652595 | − | 0.00753135i | ||||
\(475\) | 0.0393015 | + | 0.0860583i | 0.00180328 | + | 0.00394862i | ||||
\(476\) | 2.07059 | + | 0.982988i | 0.0949052 | + | 0.0450552i | ||||
\(477\) | 0.664485 | − | 2.26303i | 0.0304247 | − | 0.103617i | ||||
\(478\) | 3.91037 | − | 4.51280i | 0.178856 | − | 0.206411i | ||||
\(479\) | 0.186140 | − | 0.0546556i | 0.00850495 | − | 0.00249728i | −0.277477 | − | 0.960732i | \(-0.589498\pi\) |
0.285982 | + | 0.958235i | \(0.407680\pi\) | |||||||
\(480\) | −12.7672 | − | 5.83058i | −0.582740 | − | 0.266128i | ||||
\(481\) | −0.589143 | − | 4.09758i | −0.0268626 | − | 0.186834i | ||||
\(482\) | 12.1776 | 0.554676 | ||||||||
\(483\) | 0.281824 | + | 12.6854i | 0.0128234 | + | 0.577208i | ||||
\(484\) | −6.11874 | −0.278124 | ||||||||
\(485\) | 0.0814028 | + | 0.566169i | 0.00369631 | + | 0.0257084i | ||||
\(486\) | 0.480975 | + | 0.219654i | 0.0218175 | + | 0.00996370i | ||||
\(487\) | 6.76326 | − | 1.98587i | 0.306473 | − | 0.0899885i | −0.124880 | − | 0.992172i | \(-0.539855\pi\) |
0.431353 | + | 0.902183i | \(0.358036\pi\) | |||||||
\(488\) | −13.4488 | + | 15.5207i | −0.608797 | + | 0.702589i | ||||
\(489\) | 2.85634 | − | 9.72778i | 0.129168 | − | 0.439906i | ||||
\(490\) | 1.12696 | + | 9.91932i | 0.0509109 | + | 0.448109i | ||||
\(491\) | −11.4662 | − | 25.1075i | −0.517464 | − | 1.13309i | −0.970391 | − | 0.241540i | \(-0.922347\pi\) |
0.452927 | − | 0.891548i | \(-0.350380\pi\) | |||||||
\(492\) | 8.39707 | + | 9.69074i | 0.378569 | + | 0.436892i | ||||
\(493\) | 1.67523 | + | 1.07661i | 0.0754486 | + | 0.0484879i | ||||
\(494\) | −0.0165797 | − | 0.00238380i | −0.000745957 | − | 0.000107252i | ||||
\(495\) | −7.28377 | − | 1.04725i | −0.327381 | − | 0.0470703i | ||||
\(496\) | −8.14947 | + | 12.6808i | −0.365922 | + | 0.569385i | ||||
\(497\) | 2.10955 | − | 6.80910i | 0.0946262 | − | 0.305430i | ||||
\(498\) | −5.99632 | + | 2.73843i | −0.268702 | + | 0.122712i | ||||
\(499\) | 23.6198 | − | 15.1796i | 1.05737 | − | 0.679530i | 0.108147 | − | 0.994135i | \(-0.465508\pi\) |
0.949223 | + | 0.314605i | \(0.101872\pi\) | |||||||
\(500\) | 12.1332 | + | 3.56264i | 0.542615 | + | 0.159326i | ||||
\(501\) | −1.68842 | + | 1.94854i | −0.0754331 | + | 0.0870544i | ||||
\(502\) | −12.6553 | + | 3.71592i | −0.564833 | + | 0.165850i | ||||
\(503\) | 2.02728 | − | 4.43913i | 0.0903921 | − | 0.197931i | −0.859036 | − | 0.511915i | \(-0.828936\pi\) |
0.949428 | + | 0.313983i | \(0.101664\pi\) | |||||||
\(504\) | −3.98359 | + | 3.34963i | −0.177443 | + | 0.149205i | ||||
\(505\) | 43.5844i | 1.93948i | ||||||||
\(506\) | −4.33383 | + | 5.39283i | −0.192662 | + | 0.239740i | ||||
\(507\) | − | 12.4198i | − | 0.551582i | ||||||
\(508\) | −2.06033 | − | 14.3299i | −0.0914124 | − | 0.635787i | ||||
\(509\) | −11.0919 | − | 5.06552i | −0.491642 | − | 0.224525i | 0.154138 | − | 0.988049i | \(-0.450740\pi\) |
−0.645779 | + | 0.763524i | \(0.723467\pi\) | |||||||
\(510\) | −0.202326 | − | 0.689059i | −0.00895915 | − | 0.0305121i | ||||
\(511\) | 3.58321 | − | 22.5424i | 0.158512 | − | 0.997216i | ||||
\(512\) | 21.0490 | + | 6.18054i | 0.930243 | + | 0.273144i | ||||
\(513\) | 0.0224844 | + | 0.0349864i | 0.000992711 | + | 0.00154469i | ||||
\(514\) | 14.0396 | − | 6.41167i | 0.619260 | − | 0.282807i | ||||
\(515\) | 11.6142 | + | 13.4035i | 0.511782 | + | 0.590628i | ||||
\(516\) | −14.2325 | − | 9.14665i | −0.626549 | − | 0.402659i | ||||
\(517\) | −0.134705 | + | 0.936894i | −0.00592432 | + | 0.0412045i | ||||
\(518\) | 3.05545 | + | 6.96203i | 0.134249 | + | 0.305894i | ||||
\(519\) | −12.0634 | − | 7.75267i | −0.529524 | − | 0.340304i | ||||
\(520\) | 3.05442 | − | 2.64667i | 0.133945 | − | 0.116064i | ||||
\(521\) | 6.52445 | + | 14.2866i | 0.285842 | + | 0.625906i | 0.997023 | − | 0.0771026i | \(-0.0245669\pi\) |
−0.711182 | + | 0.703008i | \(0.751840\pi\) | |||||||
\(522\) | −1.75908 | + | 1.13049i | −0.0769928 | + | 0.0494803i | ||||
\(523\) | 36.6206 | + | 10.7528i | 1.60131 | + | 0.470187i | 0.955910 | − | 0.293659i | \(-0.0948730\pi\) |
0.645399 | + | 0.763846i | \(0.276691\pi\) | |||||||
\(524\) | 16.4651 | + | 14.2671i | 0.719283 | + | 0.623262i | ||||
\(525\) | −4.00846 | + | 4.48966i | −0.174944 | + | 0.195945i | ||||
\(526\) | 13.1220 | + | 5.99260i | 0.572145 | + | 0.261290i | ||||
\(527\) | −3.12963 | + | 0.449972i | −0.136329 | + | 0.0196011i | ||||
\(528\) | 6.54965 | 0.285037 | ||||||||
\(529\) | 4.94961 | + | 22.4611i | 0.215200 | + | 0.976570i | ||||
\(530\) | − | 3.36370i | − | 0.146110i | ||||||
\(531\) | −6.90055 | + | 0.992149i | −0.299458 | + | 0.0430556i | ||||
\(532\) | −0.187754 | + | 0.0241577i | −0.00814018 | + | 0.00104737i | ||||
\(533\) | −5.44726 | + | 1.59946i | −0.235947 | + | 0.0692803i | ||||
\(534\) | 2.10077 | + | 1.82033i | 0.0909094 | + | 0.0787735i | ||||
\(535\) | −1.46346 | + | 4.98408i | −0.0632708 | + | 0.215480i | ||||
\(536\) | −13.8039 | − | 21.4792i | −0.596236 | − | 0.927762i | ||||
\(537\) | 13.2970 | − | 6.07255i | 0.573809 | − | 0.262050i | ||||
\(538\) | 3.20658 | − | 2.77852i | 0.138246 | − | 0.119791i | ||||
\(539\) | −9.84391 | − | 16.3654i | −0.424007 | − | 0.704908i | ||||
\(540\) | −4.59306 | − | 0.660383i | −0.197654 | − | 0.0284184i | ||||
\(541\) | −1.57899 | + | 10.9821i | −0.0678863 | + | 0.472159i | 0.927313 | + | 0.374287i | \(0.122113\pi\) |
−0.995199 | + | 0.0978719i | \(0.968796\pi\) | |||||||
\(542\) | −2.41347 | + | 3.75544i | −0.103667 | + | 0.161310i | ||||
\(543\) | −11.3597 | + | 9.84321i | −0.487490 | + | 0.422412i | ||||
\(544\) | 1.08854 | + | 2.38358i | 0.0466709 | + | 0.102195i | ||||
\(545\) | −9.12371 | − | 14.1968i | −0.390817 | − | 0.608123i | ||||
\(546\) | −0.285014 | − | 1.02678i | −0.0121975 | − | 0.0439422i | ||||
\(547\) | 11.2076 | − | 12.9342i | 0.479202 | − | 0.553028i | −0.463746 | − | 0.885968i | \(-0.653495\pi\) |
0.942948 | + | 0.332940i | \(0.108041\pi\) | |||||||
\(548\) | 0.935217 | + | 3.18506i | 0.0399505 | + | 0.136059i | ||||
\(549\) | −4.33678 | + | 9.49623i | −0.185089 | + | 0.405289i | ||||
\(550\) | −3.24829 | + | 0.467033i | −0.138507 | + | 0.0199144i | ||||
\(551\) | −0.164465 | −0.00700646 | ||||||||
\(552\) | −5.90985 | + | 7.35395i | −0.251540 | + | 0.313005i | ||||
\(553\) | 0.921886 | − | 0.573315i | 0.0392026 | − | 0.0243798i | ||||
\(554\) | −1.62998 | − | 11.3368i | −0.0692514 | − | 0.481654i | ||||
\(555\) | −6.08939 | + | 13.3339i | −0.258480 | + | 0.565993i | ||||
\(556\) | 9.94134 | + | 33.8571i | 0.421607 | + | 1.43586i | ||||
\(557\) | 27.1432 | + | 23.5197i | 1.15009 | + | 0.996561i | 0.999969 | + | 0.00789362i | \(0.00251264\pi\) |
0.150124 | + | 0.988667i | \(0.452033\pi\) | |||||||
\(558\) | 0.935369 | − | 3.18557i | 0.0395973 | − | 0.134856i | ||||
\(559\) | 6.30141 | − | 4.04967i | 0.266521 | − | 0.171283i | ||||
\(560\) | 9.47471 | − | 14.2728i | 0.400379 | − | 0.603137i | ||||
\(561\) | 0.899668 | + | 1.03827i | 0.0379840 | + | 0.0438359i | ||||
\(562\) | −6.08655 | + | 9.47086i | −0.256746 | + | 0.399504i | ||||
\(563\) | 4.20154 | − | 29.2223i | 0.177074 | − | 1.23157i | −0.686416 | − | 0.727209i | \(-0.740817\pi\) |
0.863490 | − | 0.504366i | \(-0.168274\pi\) | |||||||
\(564\) | −0.0849434 | + | 0.590794i | −0.00357676 | + | 0.0248769i | ||||
\(565\) | −10.6569 | + | 16.5824i | −0.448337 | + | 0.697626i | ||||
\(566\) | 7.07986 | + | 8.17059i | 0.297589 | + | 0.343435i | ||||
\(567\) | −1.46326 | + | 2.20428i | −0.0614513 | + | 0.0925711i | ||||
\(568\) | 4.45879 | − | 2.86549i | 0.187087 | − | 0.120233i | ||||
\(569\) | −7.01952 | + | 23.9063i | −0.294273 | + | 1.00220i | 0.671108 | + | 0.741360i | \(0.265819\pi\) |
−0.965381 | + | 0.260843i | \(0.915999\pi\) | |||||||
\(570\) | 0.0448249 | + | 0.0388410i | 0.00187751 | + | 0.00162687i | ||||
\(571\) | −8.68031 | − | 29.5624i | −0.363260 | − | 1.23715i | −0.915109 | − | 0.403206i | \(-0.867896\pi\) |
0.551850 | − | 0.833944i | \(-0.313922\pi\) | |||||||
\(572\) | −1.48523 | + | 3.25220i | −0.0621006 | + | 0.135981i | ||||
\(573\) | −2.81417 | − | 19.5730i | −0.117564 | − | 0.817673i | ||||
\(574\) | 8.85424 | − | 5.50640i | 0.369569 | − | 0.229833i | ||||
\(575\) | −5.55430 | + | 9.39011i | −0.231630 | + | 0.391595i | ||||
\(576\) | 2.04980 | 0.0854082 | ||||||||
\(577\) | −10.6978 | + | 1.53812i | −0.445357 | + | 0.0640326i | −0.361345 | − | 0.932432i | \(-0.617682\pi\) |
−0.0840116 | + | 0.996465i | \(0.526773\pi\) | |||||||
\(578\) | 3.67842 | − | 8.05461i | 0.153002 | − | 0.335028i | ||||
\(579\) | −3.36735 | − | 11.4681i | −0.139942 | − | 0.476600i | ||||
\(580\) | 12.0170 | − | 13.8684i | 0.498979 | − | 0.575853i | ||||
\(581\) | −8.82230 | − | 31.7829i | −0.366011 | − | 1.31858i | ||||
\(582\) | 0.0606237 | + | 0.0943323i | 0.00251293 | + | 0.00391020i | ||||
\(583\) | 2.67312 | + | 5.85331i | 0.110709 | + | 0.242419i | ||||
\(584\) | 12.8261 | − | 11.1139i | 0.530748 | − | 0.459896i | ||||
\(585\) | 1.11074 | − | 1.72834i | 0.0459234 | − | 0.0714582i | ||||
\(586\) | −0.234463 | + | 1.63072i | −0.00968556 | + | 0.0673645i | ||||
\(587\) | −27.5957 | − | 3.96767i | −1.13900 | − | 0.163763i | −0.453099 | − | 0.891460i | \(-0.649682\pi\) |
−0.685899 | + | 0.727697i | \(0.740591\pi\) | |||||||
\(588\) | −6.20745 | − | 10.3198i | −0.255991 | − | 0.425583i | ||||
\(589\) | 0.197351 | − | 0.171006i | 0.00813172 | − | 0.00704618i | ||||
\(590\) | −9.04401 | + | 4.13026i | −0.372336 | + | 0.170040i | ||||
\(591\) | 4.90096 | + | 7.62604i | 0.201598 | + | 0.313693i | ||||
\(592\) | 3.67576 | − | 12.5185i | 0.151073 | − | 0.514507i | ||||
\(593\) | −17.4341 | − | 15.1068i | −0.715934 | − | 0.620360i | 0.218775 | − | 0.975775i | \(-0.429794\pi\) |
−0.934709 | + | 0.355415i | \(0.884339\pi\) | |||||||
\(594\) | −1.38416 | + | 0.406425i | −0.0567927 | + | 0.0166758i | ||||
\(595\) | 3.56403 | − | 0.458572i | 0.146111 | − | 0.0187996i | ||||
\(596\) | 9.56154 | − | 1.37474i | 0.391656 | − | 0.0563116i | ||||
\(597\) | 7.24669i | 0.296587i | ||||||||
\(598\) | −0.866935 | − | 1.72609i | −0.0354516 | − | 0.0705853i | ||||
\(599\) | −37.9170 | −1.54925 | −0.774624 | − | 0.632422i | \(-0.782061\pi\) | ||||
−0.774624 | + | 0.632422i | \(0.782061\pi\) | |||||||
\(600\) | −4.42954 | + | 0.636872i | −0.180835 | + | 0.0260002i | ||||
\(601\) | 27.4713 | + | 12.5457i | 1.12058 | + | 0.511750i | 0.887546 | − | 0.460719i | \(-0.152408\pi\) |
0.233031 | + | 0.972469i | \(0.425136\pi\) | |||||||
\(602\) | −9.16220 | + | 10.2621i | −0.373423 | + | 0.418251i | ||||
\(603\) | −9.80894 | − | 8.49950i | −0.399451 | − | 0.346126i | ||||
\(604\) | −28.3800 | − | 8.33312i | −1.15477 | − | 0.339070i | ||||
\(605\) | −8.06989 | + | 5.18620i | −0.328088 | + | 0.210849i | ||||
\(606\) | 3.54942 | + | 7.77214i | 0.144185 | + | 0.315722i | ||||
\(607\) | 25.7715 | − | 22.3311i | 1.04603 | − | 0.906391i | 0.0503039 | − | 0.998734i | \(-0.483981\pi\) |
0.995727 | + | 0.0923428i | \(0.0294356\pi\) | |||||||
\(608\) | −0.182061 | − | 0.117004i | −0.00738355 | − | 0.00474512i | ||||
\(609\) | −4.20476 | − | 9.58080i | −0.170386 | − | 0.388234i | ||||
\(610\) | −2.11887 | + | 14.7371i | −0.0857905 | + | 0.596686i | ||||
\(611\) | −0.222313 | − | 0.142872i | −0.00899381 | − | 0.00577997i | ||||
\(612\) | 0.567320 | + | 0.654723i | 0.0229326 | + | 0.0264656i | ||||
\(613\) | −7.81072 | + | 3.56703i | −0.315472 | + | 0.144071i | −0.566858 | − | 0.823816i | \(-0.691841\pi\) |
0.251386 | + | 0.967887i | \(0.419114\pi\) | |||||||
\(614\) | −2.86803 | − | 4.46274i | −0.115744 | − | 0.180102i | ||||
\(615\) | 19.2885 | + | 5.66363i | 0.777789 | + | 0.228380i | ||||
\(616\) | 2.22915 | − | 14.0238i | 0.0898149 | − | 0.565035i | ||||
\(617\) | −3.44938 | − | 11.7475i | −0.138867 | − | 0.472936i | 0.860464 | − | 0.509511i | \(-0.170174\pi\) |
−0.999331 | + | 0.0365745i | \(0.988355\pi\) | |||||||
\(618\) | 3.16264 | + | 1.44433i | 0.127220 | + | 0.0580995i | ||||
\(619\) | 2.41698 | + | 16.8105i | 0.0971467 | + | 0.675670i | 0.978957 | + | 0.204066i | \(0.0654157\pi\) |
−0.881810 | + | 0.471604i | \(0.843675\pi\) | |||||||
\(620\) | 29.1363i | 1.17014i | ||||||||
\(621\) | −1.82931 | + | 4.43324i | −0.0734076 | + | 0.177900i | ||||
\(622\) | 14.1231i | 0.566285i | ||||||||
\(623\) | −10.6456 | + | 8.95147i | −0.426509 | + | 0.358633i | ||||
\(624\) | −0.759633 | + | 1.66337i | −0.0304097 | + | 0.0665879i | ||||
\(625\) | 29.9355 | − | 8.78986i | 1.19742 | − | 0.351594i | ||||
\(626\) | 4.11055 | − | 4.74383i | 0.164291 | − | 0.189602i | ||||
\(627\) | −0.108868 | − | 0.0319666i | −0.00434778 | − | 0.00127662i | ||||
\(628\) | −16.0295 | + | 10.3016i | −0.639648 | + | 0.411077i | ||||
\(629\) | 2.48938 | − | 1.13686i | 0.0992581 | − | 0.0453297i | ||||
\(630\) | −1.11665 | + | 3.60425i | −0.0444883 | + | 0.143597i | ||||
\(631\) | 17.8277 | − | 27.7405i | 0.709711 | − | 1.10433i | −0.279826 | − | 0.960051i | \(-0.590277\pi\) |
0.989537 | − | 0.144281i | \(-0.0460868\pi\) | |||||||
\(632\) | 0.798973 | + | 0.114875i | 0.0317815 | + | 0.00456948i | ||||
\(633\) | 17.5386 | + | 2.52167i | 0.697097 | + | 0.100227i | ||||
\(634\) | 12.2861 | + | 7.89579i | 0.487943 | + | 0.313582i | ||||
\(635\) | −14.8633 | − | 17.1531i | −0.589831 | − | 0.680702i | ||||
\(636\) | 1.68564 | + | 3.69103i | 0.0668399 | + | 0.146359i | ||||
\(637\) | 5.29790 | − | 0.601909i | 0.209911 | − | 0.0238485i | ||||
\(638\) | 1.60725 | − | 5.47378i | 0.0636315 | − | 0.216709i | ||||
\(639\) | 1.76438 | − | 2.03620i | 0.0697977 | − | 0.0805508i | ||||
\(640\) | 29.7390 | − | 8.73215i | 1.17554 | − | 0.345168i | ||||
\(641\) | 15.9478 | + | 7.28311i | 0.629900 | + | 0.287666i | 0.704670 | − | 0.709535i | \(-0.251095\pi\) |
−0.0747703 | + | 0.997201i | \(0.523822\pi\) | |||||||
\(642\) | 0.144923 | + | 1.00796i | 0.00571965 | + | 0.0397811i | ||||
\(643\) | 21.4941 | 0.847645 | 0.423822 | − | 0.905745i | \(-0.360688\pi\) | ||||
0.423822 | + | 0.905745i | \(0.360688\pi\) | |||||||
\(644\) | −14.6583 | − | 16.1762i | −0.577617 | − | 0.637430i | ||||
\(645\) | −26.5236 | −1.04436 | ||||||||
\(646\) | −0.00157589 | − | 0.0109605i | −6.20025e−5 | − | 0.000431237i | ||||
\(647\) | 19.0876 | + | 8.71703i | 0.750412 | + | 0.342702i | 0.753635 | − | 0.657293i | \(-0.228299\pi\) |
−0.00322288 | + | 0.999995i | \(0.501026\pi\) | |||||||
\(648\) | −1.88751 | + | 0.554223i | −0.0741485 | + | 0.0217720i | ||||
\(649\) | 12.4556 | − | 14.3745i | 0.488923 | − | 0.564247i | ||||
\(650\) | 0.258130 | − | 0.879110i | 0.0101247 | − | 0.0344815i | ||||
\(651\) | 15.0073 | + | 7.12456i | 0.588184 | + | 0.279234i | ||||
\(652\) | 7.24582 | + | 15.8661i | 0.283768 | + | 0.621366i | ||||
\(653\) | −0.920325 | − | 1.06211i | −0.0360151 | − | 0.0415637i | 0.737456 | − | 0.675395i | \(-0.236027\pi\) |
−0.773471 | + | 0.633831i | \(0.781481\pi\) | |||||||
\(654\) | −2.78313 | − | 1.78861i | −0.108829 | − | 0.0699402i | ||||
\(655\) | 33.8083 | + | 4.86090i | 1.32100 | + | 0.189931i | ||||
\(656\) | −17.7106 | − | 2.54640i | −0.691483 | − | 0.0994202i | ||||
\(657\) | 4.66421 | − | 7.25765i | 0.181968 | − | 0.283148i | ||||
\(658\) | 0.463606 | + | 0.143631i | 0.0180733 | + | 0.00559934i | ||||
\(659\) | 42.2829 | − | 19.3100i | 1.64711 | − | 0.752210i | 0.647161 | − | 0.762354i | \(-0.275956\pi\) |
0.999949 | + | 0.0101439i | \(0.00322895\pi\) | |||||||
\(660\) | 10.6502 | − | 6.84450i | 0.414560 | − | 0.266422i | ||||
\(661\) | 35.5521 | + | 10.4390i | 1.38282 | + | 0.406032i | 0.886749 | − | 0.462251i | \(-0.152958\pi\) |
0.496069 | + | 0.868283i | \(0.334776\pi\) | |||||||
\(662\) | 10.1128 | − | 11.6708i | 0.393044 | − | 0.453597i | ||||
\(663\) | −0.368026 | + | 0.108062i | −0.0142930 | + | 0.00419679i | ||||
\(664\) | 10.1881 | − | 22.3088i | 0.395375 | − | 0.865750i | ||||
\(665\) | −0.227150 | + | 0.191000i | −0.00880848 | + | 0.00740668i | ||||
\(666\) | 2.87366i | 0.111352i | ||||||||
\(667\) | −10.8375 | − | 15.5641i | −0.419629 | − | 0.602645i | ||||
\(668\) | − | 4.43573i | − | 0.171624i | ||||||
\(669\) | 1.76105 | + | 12.2483i | 0.0680860 | + | 0.473548i | ||||
\(670\) | −16.8375 | − | 7.68945i | −0.650491 | − | 0.297069i | ||||
\(671\) | −8.02435 | − | 27.3284i | −0.309777 | − | 1.05500i | ||||
\(672\) | 2.16133 | − | 13.5972i | 0.0833751 | − | 0.524522i | ||||
\(673\) | 19.1476 | + | 5.62224i | 0.738086 | + | 0.216722i | 0.629103 | − | 0.777322i | \(-0.283422\pi\) |
0.108983 | + | 0.994044i | \(0.465241\pi\) | |||||||
\(674\) | 3.04440 | + | 4.73717i | 0.117266 | + | 0.182469i | ||||
\(675\) | −2.06928 | + | 0.945010i | −0.0796467 | + | 0.0363734i | ||||
\(676\) | 13.9925 | + | 16.1483i | 0.538175 | + | 0.621087i | ||||
\(677\) | −13.5826 | − | 8.72899i | −0.522020 | − | 0.335482i | 0.252950 | − | 0.967479i | \(-0.418599\pi\) |
−0.774971 | + | 0.631997i | \(0.782235\pi\) | |||||||
\(678\) | −0.549939 | + | 3.82491i | −0.0211203 | + | 0.146895i | ||||
\(679\) | −0.513780 | + | 0.225484i | −0.0197171 | + | 0.00865330i | ||||
\(680\) | 2.24767 | + | 1.44449i | 0.0861943 | + | 0.0553937i | ||||
\(681\) | 11.9924 | − | 10.3914i | 0.459548 | − | 0.398201i | ||||
\(682\) | 3.76284 | + | 8.23946i | 0.144086 | + | 0.315505i | ||||
\(683\) | −38.4288 | + | 24.6967i | −1.47044 | + | 0.944992i | −0.472463 | + | 0.881351i | \(0.656635\pi\) |
−0.997973 | + | 0.0636412i | \(0.979729\pi\) | |||||||
\(684\) | −0.0686512 | − | 0.0201578i | −0.00262494 | − | 0.000770753i | ||||
\(685\) | 3.93307 | + | 3.40803i | 0.150275 | + | 0.130214i | ||||
\(686\) | −9.07995 | + | 3.66768i | −0.346674 | + | 0.140033i | ||||
\(687\) | −18.0897 | − | 8.26128i | −0.690164 | − | 0.315187i | ||||
\(688\) | 23.3672 | − | 3.35970i | 0.890868 | − | 0.128087i | ||||
\(689\) | −1.79655 | −0.0684431 | ||||||||
\(690\) | −0.721950 | + | 6.80142i | −0.0274842 | + | 0.258926i | ||||
\(691\) | − | 6.78201i | − | 0.258000i | −0.991645 | − | 0.129000i | \(-0.958823\pi\) | ||
0.991645 | − | 0.129000i | \(-0.0411767\pi\) | |||||||
\(692\) | 24.4193 | − | 3.51096i | 0.928281 | − | 0.133467i | ||||
\(693\) | −0.921164 | − | 7.15930i | −0.0349921 | − | 0.271959i | ||||
\(694\) | 6.60043 | − | 1.93806i | 0.250549 | − | 0.0735678i | ||||
\(695\) | 41.8085 | + | 36.2273i | 1.58589 | + | 1.37418i | ||||
\(696\) | 2.19173 | − | 7.46434i | 0.0830773 | − | 0.282935i | ||||
\(697\) | −2.02909 | − | 3.15732i | −0.0768571 | − | 0.119592i | ||||
\(698\) | 15.3329 | − | 7.00232i | 0.580360 | − | 0.265042i | ||||
\(699\) | −7.10451 | + | 6.15609i | −0.268717 | + | 0.232845i | ||||
\(700\) | 0.153617 | − | 10.3535i | 0.00580616 | − | 0.391327i | ||||
\(701\) | −10.5598 | − | 1.51828i | −0.398840 | − | 0.0573445i | −0.0600232 | − | 0.998197i | \(-0.519117\pi\) |
−0.338816 | + | 0.940853i | \(0.610027\pi\) | |||||||
\(702\) | 0.0573189 | − | 0.398661i | 0.00216336 | − | 0.0150465i | ||||
\(703\) | −0.122197 | + | 0.190143i | −0.00460875 | + | 0.00717136i | ||||
\(704\) | −4.22645 | + | 3.66224i | −0.159290 | + | 0.138026i | ||||
\(705\) | 0.388723 | + | 0.851185i | 0.0146402 | + | 0.0320575i | ||||
\(706\) | 7.64403 | + | 11.8943i | 0.287687 | + | 0.447650i | ||||
\(707\) | −41.1955 | + | 11.4350i | −1.54931 | + | 0.430059i | ||||
\(708\) | 7.85433 | − | 9.06438i | 0.295184 | − | 0.340660i | ||||
\(709\) | −7.82053 | − | 26.6343i | −0.293706 | − | 1.00027i | −0.965688 | − | 0.259704i | \(-0.916375\pi\) |
0.671982 | − | 0.740568i | \(-0.265443\pi\) | |||||||
\(710\) | 1.59622 | − | 3.49524i | 0.0599052 | − | 0.131174i | ||||
\(711\) | 0.406148 | − | 0.0583953i | 0.0152317 | − | 0.00218999i | ||||
\(712\) | −10.3417 | −0.387573 | ||||||||
\(713\) | 29.1876 | + | 7.40777i | 1.09308 | + | 0.277423i | ||||
\(714\) | 0.598208 | − | 0.372022i | 0.0223874 | − | 0.0139226i | ||||
\(715\) | 0.797702 | + | 5.54814i | 0.0298324 | + | 0.207489i | ||||
\(716\) | −10.4473 | + | 22.8764i | −0.390434 | + | 0.854932i | ||||
\(717\) | 3.18163 | + | 10.8356i | 0.118820 | + | 0.404664i | ||||
\(718\) | 7.48924 | + | 6.48946i | 0.279496 | + | 0.242185i | ||||
\(719\) | 0.499350 | − | 1.70063i | 0.0186226 | − | 0.0634228i | −0.949657 | − | 0.313290i | \(-0.898569\pi\) |
0.968280 | + | 0.249867i | \(0.0803870\pi\) | |||||||
\(720\) | 5.44716 | − | 3.50068i | 0.203004 | − | 0.130463i | ||||
\(721\) | −9.62167 | + | 14.4942i | −0.358330 | + | 0.539793i | ||||
\(722\) | −6.57839 | − | 7.59186i | −0.244822 | − | 0.282540i | ||||
\(723\) | −12.4513 | + | 19.3746i | −0.463070 | + | 0.720550i | ||||
\(724\) | 3.68020 | − | 25.5963i | 0.136773 | − | 0.951280i | ||||
\(725\) | 1.28028 | − | 8.90457i | 0.0475485 | − | 0.330707i | ||||
\(726\) | −1.01670 | + | 1.58202i | −0.0377334 | + | 0.0587143i | ||||
\(727\) | 2.70173 | + | 3.11796i | 0.100202 | + | 0.115639i | 0.803635 | − | 0.595122i | \(-0.202896\pi\) |
−0.703434 | + | 0.710761i | \(0.748351\pi\) | |||||||
\(728\) | 3.30298 | + | 2.19261i | 0.122417 | + | 0.0812636i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | 3.46637 | − | 11.8054i | 0.128296 | − | 0.436936i | ||||
\(731\) | 3.74234 | + | 3.24276i | 0.138416 | + | 0.119938i | ||||
\(732\) | −5.06006 | − | 17.2330i | −0.187025 | − | 0.636950i | ||||
\(733\) | −17.2038 | + | 37.6711i | −0.635438 | + | 1.39141i | 0.268303 | + | 0.963335i | \(0.413537\pi\) |
−0.903741 | + | 0.428080i | \(0.859190\pi\) | |||||||
\(734\) | 0.370117 | + | 2.57422i | 0.0136613 | + | 0.0950163i | ||||
\(735\) | −16.9339 | − | 8.34925i | −0.624617 | − | 0.307967i | ||||
\(736\) | −0.924389 | − | 24.9392i | −0.0340734 | − | 0.919273i | ||||
\(737\) | 35.4105 | 1.30436 | ||||||||
\(738\) | 3.90085 | − | 0.560857i | 0.143592 | − | 0.0206454i | ||||
\(739\) | 3.27295 | − | 7.16676i | 0.120397 | − | 0.263633i | −0.839832 | − | 0.542847i | \(-0.817346\pi\) |
0.960229 | + | 0.279213i | \(0.0900737\pi\) | |||||||
\(740\) | −7.10497 | − | 24.1973i | −0.261184 | − | 0.889511i | ||||
\(741\) | 0.0207450 | − | 0.0239410i | 0.000762085 | − | 0.000879493i | ||||
\(742\) | 3.17933 | − | 0.882519i | 0.116717 | − | 0.0323983i | ||||
\(743\) | −9.26924 | − | 14.4232i | −0.340056 | − | 0.529137i | 0.628540 | − | 0.777777i | \(-0.283653\pi\) |
−0.968596 | + | 0.248640i | \(0.920016\pi\) | |||||||
\(744\) | 5.13121 | + | 11.2358i | 0.188119 | + | 0.411923i | ||||
\(745\) | 11.4453 | − | 9.91743i | 0.419324 | − | 0.363346i | ||||
\(746\) | 4.28233 | − | 6.66344i | 0.156787 | − | 0.243966i | ||||
\(747\) | 1.77424 | − | 12.3401i | 0.0649161 | − | 0.451502i | ||||
\(748\) | −2.33950 | − | 0.336370i | −0.0855407 | − | 0.0122989i | ||||
\(749\) | −5.09486 | − | 0.0755930i | −0.186162 | − | 0.00276211i | ||||
\(750\) | 2.93722 | − | 2.54511i | 0.107252 | − | 0.0929343i | ||||
\(751\) | −36.3781 | + | 16.6133i | −1.32746 | + | 0.606229i | −0.947790 | − | 0.318895i | \(-0.896688\pi\) |
−0.379666 | + | 0.925124i | \(0.623961\pi\) | |||||||
\(752\) | −0.450283 | − | 0.700655i | −0.0164201 | − | 0.0255502i | ||||
\(753\) | 7.02765 | − | 23.9340i | 0.256102 | − | 0.872203i | ||||
\(754\) | 1.20372 | + | 1.04303i | 0.0438371 | + | 0.0379850i | ||||
\(755\) | −44.4929 | + | 13.0643i | −1.61926 | + | 0.475459i | ||||
\(756\) | −0.580876 | − | 4.51458i | −0.0211262 | − | 0.164194i | ||||
\(757\) | 27.1553 | − | 3.90435i | 0.986977 | − | 0.141906i | 0.370123 | − | 0.928983i | \(-0.379316\pi\) |
0.616855 | + | 0.787077i | \(0.288407\pi\) | |||||||
\(758\) | 6.71072i | 0.243744i | ||||||||
\(759\) | −4.14876 | − | 12.4092i | −0.150591 | − | 0.450424i | ||||
\(760\) | −0.220665 | −0.00800435 | ||||||||
\(761\) | 26.1465 | − | 3.75930i | 0.947811 | − | 0.136275i | 0.348962 | − | 0.937137i | \(-0.386534\pi\) |
0.598849 | + | 0.800862i | \(0.295625\pi\) | |||||||
\(762\) | −4.04740 | − | 1.84838i | −0.146622 | − | 0.0669599i | ||||
\(763\) | 11.0249 | − | 12.3484i | 0.399128 | − | 0.447041i | ||||
\(764\) | 25.7105 | + | 22.2783i | 0.930175 | + | 0.806001i | ||||
\(765\) | 1.30317 | + | 0.382644i | 0.0471161 | + | 0.0138345i | ||||
\(766\) | −8.40202 | + | 5.39965i | −0.303577 | + | 0.195097i | ||||
\(767\) | 2.20597 | + | 4.83040i | 0.0796530 | + | 0.174416i | ||||
\(768\) | 1.49378 | − | 1.29437i | 0.0539021 | − | 0.0467065i | ||||
\(769\) | −33.6695 | − | 21.6381i | −1.21415 | − | 0.780289i | −0.232805 | − | 0.972524i | \(-0.574790\pi\) |
−0.981349 | + | 0.192234i | \(0.938427\pi\) | |||||||
\(770\) | −4.13709 | − | 9.42661i | −0.149090 | − | 0.339712i | ||||
\(771\) | −4.15415 | + | 28.8928i | −0.149608 | + | 1.04055i | ||||
\(772\) | 17.2986 | + | 11.1172i | 0.622591 | + | 0.400115i | ||||
\(773\) | 11.3933 | + | 13.1486i | 0.409789 | + | 0.472921i | 0.922699 | − | 0.385521i | \(-0.125978\pi\) |
−0.512911 | + | 0.858442i | \(0.671433\pi\) | |||||||
\(774\) | −4.72979 | + | 2.16002i | −0.170009 | + | 0.0776404i | ||||
\(775\) | 7.72240 | + | 12.0163i | 0.277397 | + | 0.431638i | ||||
\(776\) | −0.400283 | − | 0.117534i | −0.0143693 | − | 0.00421921i | ||||
\(777\) | −14.2007 | − | 2.25727i | −0.509448 | − | 0.0809790i | ||||
\(778\) | 4.79714 | + | 16.3375i | 0.171986 | + | 0.585730i | ||||
\(779\) | 0.281958 | + | 0.128766i | 0.0101022 | + | 0.00461351i | ||||
\(780\) | 0.503022 | + | 3.49859i | 0.0180111 | + | 0.125270i | ||||
\(781\) | 7.35072i | 0.263029i | ||||||||
\(782\) | 0.933402 | − | 0.871381i | 0.0333784 | − | 0.0311605i | ||||
\(783\) | − | 3.95459i | − | 0.141326i | ||||||
\(784\) | 15.9764 | + | 5.21069i | 0.570585 | + | 0.186096i | ||||
\(785\) | −12.4095 | + | 27.1730i | −0.442915 | + | 0.969848i | ||||
\(786\) | 6.42469 | − | 1.88646i | 0.229161 | − | 0.0672878i | ||||
\(787\) | 29.6870 | − | 34.2607i | 1.05823 | − | 1.22126i | 0.0838191 | − | 0.996481i | \(-0.473288\pi\) |
0.974410 | − | 0.224780i | \(-0.0721663\pi\) | |||||||
\(788\) | −14.9640 | − | 4.39382i | −0.533070 | − | 0.156523i | ||||
\(789\) | −22.9511 | + | 14.7498i | −0.817081 | + | 0.525106i | ||||
\(790\) | 0.532307 | − | 0.243096i | 0.0189386 | − | 0.00864898i | ||||
\(791\) | −18.4695 | − | 5.72209i | −0.656699 | − | 0.203454i | ||||
\(792\) | 2.90164 | − | 4.51504i | 0.103105 | − | 0.160435i | ||||
\(793\) | 7.87106 | + | 1.13169i | 0.279510 | + | 0.0401874i | ||||
\(794\) | 18.3544 | + | 2.63896i | 0.651372 | + | 0.0936532i | ||||
\(795\) | 5.35165 | + | 3.43930i | 0.189803 | + | 0.121979i | ||||
\(796\) | −8.16436 | − | 9.42218i | −0.289378 | − | 0.333960i | ||||
\(797\) | 11.4975 | + | 25.1761i | 0.407264 | + | 0.891783i | 0.996482 | + | 0.0838092i | \(0.0267086\pi\) |
−0.589218 | + | 0.807974i | \(0.700564\pi\) | |||||||
\(798\) | −0.0249516 | + | 0.0525586i | −0.000883276 | + | 0.00186055i | ||||
\(799\) | 0.0492186 | − | 0.167623i | 0.00174123 | − | 0.00593008i | ||||
\(800\) | 7.75212 | − | 8.94642i | 0.274079 | − | 0.316304i | ||||
\(801\) | −5.04414 | + | 1.48109i | −0.178226 | + | 0.0523318i | ||||
\(802\) | −12.6633 | − | 5.78312i | −0.447155 | − | 0.204209i | ||||
\(803\) | 3.34970 | + | 23.2977i | 0.118208 | + | 0.822158i | ||||
\(804\) | 22.3294 | 0.787498 | ||||||||
\(805\) | −33.0433 | − | 8.91017i | −1.16462 | − | 0.314042i | ||||
\(806\) | −2.52893 | −0.0890778 | ||||||||
\(807\) | 1.14198 | + | 7.94264i | 0.0401996 | + | 0.279594i | ||||
\(808\) | −28.9156 | − | 13.2053i | −1.01725 | − | 0.464561i | ||||
\(809\) | 6.60976 | − | 1.94080i | 0.232387 | − | 0.0682349i | −0.163466 | − | 0.986549i | \(-0.552267\pi\) |
0.395853 | + | 0.918314i | \(0.370449\pi\) | |||||||
\(810\) | −0.933937 | + | 1.07782i | −0.0328152 | + | 0.0378708i | ||||
\(811\) | −3.03220 | + | 10.3267i | −0.106475 | + | 0.362620i | −0.995444 | − | 0.0953469i | \(-0.969604\pi\) |
0.888969 | + | 0.457967i | \(0.151422\pi\) | |||||||
\(812\) | 16.2611 | + | 7.71976i | 0.570652 | + | 0.270911i | ||||
\(813\) | −3.50719 | − | 7.67967i | −0.123002 | − | 0.269338i | ||||
\(814\) | −5.13419 | − | 5.92518i | −0.179953 | − | 0.207677i | ||||
\(815\) | 23.0044 | + | 14.7840i | 0.805810 | + | 0.517862i | ||||
\(816\) | −1.19656 | − | 0.172039i | −0.0418879 | − | 0.00602257i | ||||
\(817\) | −0.404808 | − | 0.0582026i | −0.0141624 | − | 0.00203625i | ||||
\(818\) | 4.32225 | − | 6.72556i | 0.151124 | − | 0.235154i | ||||
\(819\) | 1.92503 | + | 0.596400i | 0.0672660 | + | 0.0208399i | ||||
\(820\) | −31.4599 | + | 14.3672i | −1.09863 | + | 0.501726i | ||||
\(821\) | −8.42349 | + | 5.41345i | −0.293982 | + | 0.188931i | −0.679315 | − | 0.733847i | \(-0.737723\pi\) |
0.385333 | + | 0.922778i | \(0.374087\pi\) | |||||||
\(822\) | 0.978904 | + | 0.287432i | 0.0341432 | + | 0.0100253i | ||||
\(823\) | −6.62982 | + | 7.65122i | −0.231101 | + | 0.266705i | −0.859442 | − | 0.511233i | \(-0.829189\pi\) |
0.628341 | + | 0.777938i | \(0.283734\pi\) | |||||||
\(824\) | −12.4113 | + | 3.64429i | −0.432368 | + | 0.126955i | ||||
\(825\) | 2.57824 | − | 5.64556i | 0.0897628 | − | 0.196553i | ||||
\(826\) | −6.27672 | − | 7.46466i | −0.218395 | − | 0.259729i | ||||
\(827\) | − | 30.0945i | − | 1.04649i | −0.852182 | − | 0.523245i | \(-0.824721\pi\) | ||
0.852182 | − | 0.523245i | \(-0.175279\pi\) | |||||||
\(828\) | −2.61616 | − | 7.82507i | −0.0909180 | − | 0.271940i | ||||
\(829\) | 18.0468i | 0.626792i | 0.949622 | + | 0.313396i | \(0.101467\pi\) | ||||
−0.949622 | + | 0.313396i | \(0.898533\pi\) | |||||||
\(830\) | −2.53036 | − | 17.5990i | −0.0878299 | − | 0.610871i | ||||
\(831\) | 19.7035 | + | 8.99827i | 0.683505 | + | 0.312146i | ||||
\(832\) | −0.439884 | − | 1.49811i | −0.0152502 | − | 0.0519376i | ||||
\(833\) | 1.36852 | + | 3.24837i | 0.0474163 | + | 0.112549i | ||||
\(834\) | 10.4057 | + | 3.05540i | 0.360321 | + | 0.105800i | ||||
\(835\) | −3.75970 | − | 5.85020i | −0.130110 | − | 0.202455i | ||||
\(836\) | 0.177566 | − | 0.0810915i | 0.00614124 | − | 0.00280461i | ||||
\(837\) | 4.11186 | + | 4.74534i | 0.142127 | + | 0.164023i | ||||
\(838\) | 5.75260 | + | 3.69697i | 0.198720 | + | 0.127710i | ||||
\(839\) | 3.09155 | − | 21.5022i | 0.106732 | − | 0.742338i | −0.864229 | − | 0.503099i | \(-0.832193\pi\) |
0.970961 | − | 0.239239i | \(-0.0768979\pi\) | |||||||
\(840\) | −5.64156 | − | 12.8546i | −0.194652 | − | 0.443527i | ||||
\(841\) | −11.2401 | − | 7.22360i | −0.387591 | − | 0.249090i | ||||
\(842\) | −7.77882 | + | 6.74039i | −0.268076 | + | 0.232289i | ||||
\(843\) | −8.84481 | − | 19.3674i | −0.304631 | − | 0.667050i | ||||
\(844\) | −25.6447 | + | 16.4809i | −0.882728 | + | 0.567295i | ||||
\(845\) | 32.1417 | + | 9.43765i | 1.10571 | + | 0.324665i | ||||
\(846\) | 0.138637 | + | 0.120130i | 0.00476645 | + | 0.00413016i | ||||
\(847\) | −7.01921 | − | 6.26689i | −0.241183 | − | 0.215333i | ||||
\(848\) | −5.15045 | − | 2.35213i | −0.176867 | − | 0.0807725i | ||||
\(849\) | −20.2384 | + | 2.90984i | −0.694580 | + | 0.0998655i | ||||
\(850\) | 0.605699 | 0.0207753 | ||||||||
\(851\) | −26.0463 | + | 0.965421i | −0.892854 | + | 0.0330942i | ||||
\(852\) | 4.63528i | 0.158802i | ||||||||
\(853\) | 20.2630 | − | 2.91339i | 0.693793 | − | 0.0997524i | 0.213608 | − | 0.976919i | \(-0.431478\pi\) |
0.480185 | + | 0.877167i | \(0.340569\pi\) | |||||||
\(854\) | −14.4852 | + | 1.86377i | −0.495674 | + | 0.0637768i | ||||
\(855\) | −0.107628 | + | 0.0316025i | −0.00368081 | + | 0.00108078i | ||||
\(856\) | −2.86323 | − | 2.48100i | −0.0978632 | − | 0.0847990i | ||||
\(857\) | 1.84328 | − | 6.27765i | 0.0629654 | − | 0.214440i | −0.922001 | − | 0.387188i | \(-0.873446\pi\) |
0.984966 | + | 0.172748i | \(0.0552645\pi\) | |||||||
\(858\) | 0.594078 | + | 0.924403i | 0.0202815 | + | 0.0315586i | ||||
\(859\) | −9.97149 | + | 4.55383i | −0.340223 | + | 0.155375i | −0.578198 | − | 0.815897i | \(-0.696244\pi\) |
0.237975 | + | 0.971271i | \(0.423516\pi\) | |||||||
\(860\) | 34.4860 | − | 29.8823i | 1.17596 | − | 1.01898i | ||||
\(861\) | −0.292547 | + | 19.7173i | −0.00996999 | + | 0.671963i | ||||
\(862\) | −10.8460 | − | 1.55942i | −0.369416 | − | 0.0531140i | ||||
\(863\) | −3.67490 | + | 25.5595i | −0.125095 | + | 0.870055i | 0.826552 | + | 0.562861i | \(0.190299\pi\) |
−0.951647 | + | 0.307194i | \(0.900610\pi\) | |||||||
\(864\) | 2.81337 | − | 4.37768i | 0.0957127 | − | 0.148932i | ||||
\(865\) | 29.2302 | − | 25.3281i | 0.993858 | − | 0.861183i | ||||
\(866\) | −7.64032 | − | 16.7300i | −0.259629 | − | 0.568507i | ||||
\(867\) | 9.05381 | + | 14.0880i | 0.307483 | + | 0.478453i | ||||
\(868\) | −27.5394 | + | 7.64438i | −0.934747 | + | 0.259467i | ||||
\(869\) | −0.733101 | + | 0.846044i | −0.0248687 | + | 0.0287001i | ||||
\(870\) | −1.58894 | − | 5.41143i | −0.0538701 | − | 0.183465i | ||||
\(871\) | −4.10693 | + | 8.99292i | −0.139158 | + | 0.304714i | ||||
\(872\) | 12.1830 | − | 1.75165i | 0.412569 | − | 0.0593185i | ||||
\(873\) | −0.212069 | −0.00717745 | ||||||||
\(874\) | −0.0259434 | + | 0.102220i | −0.000877549 | + | 0.00345766i | ||||
\(875\) | 10.2699 | + | 16.5140i | 0.347187 | + | 0.558274i | ||||
\(876\) | 2.11229 | + | 14.6913i | 0.0713675 | + | 0.496372i | ||||
\(877\) | −6.14679 | + | 13.4596i | −0.207562 | + | 0.454498i | −0.984570 | − | 0.174993i | \(-0.944010\pi\) |
0.777007 | + | 0.629492i | \(0.216737\pi\) | |||||||
\(878\) | −4.49392 | − | 15.3049i | −0.151662 | − | 0.516515i | ||||
\(879\) | −2.35475 | − | 2.04040i | −0.0794237 | − | 0.0688211i | ||||
\(880\) | −4.97700 | + | 16.9501i | −0.167775 | + | 0.571388i | ||||
\(881\) | 36.5695 | − | 23.5018i | 1.23206 | − | 0.791795i | 0.247847 | − | 0.968799i | \(-0.420277\pi\) |
0.984210 | + | 0.177004i | \(0.0566406\pi\) | |||||||
\(882\) | −3.69967 | − | 0.109809i | −0.124574 | − | 0.00369746i | ||||
\(883\) | 29.6690 | + | 34.2399i | 0.998441 | + | 1.15226i | 0.988332 | + | 0.152314i | \(0.0486724\pi\) |
0.0101092 | + | 0.999949i | \(0.496782\pi\) | |||||||
\(884\) | 0.356763 | − | 0.555133i | 0.0119992 | − | 0.0186712i | ||||
\(885\) | 2.67602 | − | 18.6121i | 0.0899534 | − | 0.625640i | ||||
\(886\) | −0.142449 | + | 0.990752i | −0.00478565 | + | 0.0332850i | ||||
\(887\) | 11.3129 | − | 17.6032i | 0.379850 | − | 0.591059i | −0.597710 | − | 0.801712i | \(-0.703923\pi\) |
0.977561 | + | 0.210653i | \(0.0675591\pi\) | |||||||
\(888\) | −7.00126 | − | 8.07989i | −0.234947 | − | 0.271143i | ||||
\(889\) | 12.3133 | − | 18.5490i | 0.412976 | − | 0.622114i | ||||
\(890\) | −6.30726 | + | 4.05343i | −0.211420 | + | 0.135871i | ||||
\(891\) | 0.768642 | − | 2.61776i | 0.0257505 | − | 0.0876981i | ||||
\(892\) | −16.0891 | − | 13.9413i | −0.538703 | − | 0.466789i | ||||
\(893\) | 0.00406496 | + | 0.0138440i | 0.000136029 | + | 0.000463271i | ||||
\(894\) | 1.23332 | − | 2.70060i | 0.0412484 | − | 0.0903215i | ||||
\(895\) | 5.61114 | + | 39.0264i | 0.187560 | + | 1.30451i | ||||
\(896\) | 16.0560 | + | 25.8179i | 0.536394 | + | 0.862516i | ||||
\(897\) | 3.63264 | + | 0.385593i | 0.121290 | + | 0.0128746i | ||||
\(898\) | 10.1970 | 0.340279 | ||||||||
\(899\) | −24.5781 | + | 3.53380i | −0.819725 | + | 0.117859i | ||||
\(900\) | 1.62581 | − | 3.56003i | 0.0541937 | − | 0.118668i | ||||
\(901\) | −0.334604 | − | 1.13956i | −0.0111473 | − | 0.0379642i | ||||
\(902\) | −7.04106 | + | 8.12582i | −0.234442 | + | 0.270560i | ||||
\(903\) | −6.95887 | − | 25.0698i | −0.231577 | − | 0.834270i | ||||
\(904\) | −7.77257 | − | 12.0944i | −0.258512 | − | 0.402252i | ||||
\(905\) | −16.8415 | − | 36.8778i | −0.559832 | − | 1.22586i | ||||
\(906\) | −6.87023 | + | 5.95309i | −0.228248 | + | 0.197778i | ||||
\(907\) | 27.8800 | − | 43.3822i | 0.925741 | − | 1.44048i | 0.0281736 | − | 0.999603i | \(-0.491031\pi\) |
0.897567 | − | 0.440878i | \(-0.145333\pi\) | |||||||
\(908\) | −3.88517 | + | 27.0219i | −0.128934 | + | 0.896755i | ||||
\(909\) | −15.9947 | − | 2.29969i | −0.530510 | − | 0.0762758i | ||||
\(910\) | 2.87383 | + | 0.0426393i | 0.0952665 | + | 0.00141348i | ||||
\(911\) | −41.6813 | + | 36.1171i | −1.38096 | + | 1.19661i | −0.424262 | + | 0.905539i | \(0.639467\pi\) |
−0.956701 | + | 0.291072i | \(0.905988\pi\) | |||||||
\(912\) | 0.0908175 | − | 0.0414750i | 0.00300727 | − | 0.00137337i | ||||
\(913\) | 18.3890 | + | 28.6139i | 0.608588 | + | 0.946981i | ||||
\(914\) | 0.471757 | − | 1.60666i | 0.0156043 | − | 0.0531435i | ||||
\(915\) | −21.2802 | − | 18.4394i | −0.703502 | − | 0.609588i | ||||
\(916\) | 32.8277 | − | 9.63908i | 1.08466 | − | 0.318484i | ||||
\(917\) | 4.27567 | + | 33.2306i | 0.141195 | + | 1.09737i | ||||
\(918\) | 0.263548 | − | 0.0378924i | 0.00869837 | − | 0.00125064i | ||||
\(919\) | − | 28.7670i | − | 0.948936i | −0.880273 | − | 0.474468i | \(-0.842640\pi\) | ||
0.880273 | − | 0.474468i | \(-0.157360\pi\) | |||||||
\(920\) | −14.5408 | − | 20.8825i | −0.479395 | − | 0.688476i | ||||
\(921\) | 10.0327 | 0.330589 | ||||||||
\(922\) | −19.3846 | + | 2.78709i | −0.638399 | + | 0.0917879i | ||||
\(923\) | −1.86681 | − | 0.852542i | −0.0614467 | − | 0.0280618i | ||||
\(924\) | 9.26361 | + | 8.27074i | 0.304750 | + | 0.272087i | ||||
\(925\) | −9.34354 | − | 8.09623i | −0.307214 | − | 0.266202i | ||||
\(926\) | 10.7639 | + | 3.16057i | 0.353724 | + | 0.103863i | ||||
\(927\) | −5.53165 | + | 3.55498i | −0.181683 | + | 0.116761i | ||||
\(928\) | 8.54873 | + | 18.7191i | 0.280626 | + | 0.614485i | ||||
\(929\) | −15.3987 | + | 13.3430i | −0.505213 | + | 0.437770i | −0.869804 | − | 0.493398i | \(-0.835755\pi\) |
0.364590 | + | 0.931168i | \(0.381209\pi\) | |||||||
\(930\) | 7.53329 | + | 4.84135i | 0.247026 | + | 0.158754i | ||||
\(931\) | −0.240128 | − | 0.164587i | −0.00786987 | − | 0.00539413i | ||||
\(932\) | 2.30165 | − | 16.0083i | 0.0753931 | − | 0.524371i | ||||
\(933\) | −22.4699 | − | 14.4405i | −0.735630 | − | 0.472761i | ||||
\(934\) | −5.32815 | − | 6.14901i | −0.174342 | − | 0.201202i | ||||
\(935\) | −3.37063 | + | 1.53932i | −0.110231 | + | 0.0503410i | ||||
\(936\) | 0.810117 | + | 1.26057i | 0.0264795 | + | 0.0412029i | ||||
\(937\) | 28.9740 | + | 8.50754i | 0.946540 | + | 0.277929i | 0.718346 | − | 0.695686i | \(-0.244900\pi\) |
0.228194 | + | 0.973616i | \(0.426718\pi\) | |||||||
\(938\) | 2.85039 | − | 17.9321i | 0.0930685 | − | 0.585504i | ||||
\(939\) | 3.34451 | + | 11.3903i | 0.109144 | + | 0.371710i | ||||
\(940\) | −1.46439 | − | 0.668766i | −0.0477632 | − | 0.0218127i | ||||
\(941\) | 1.90797 | + | 13.2703i | 0.0621982 | + | 0.432598i | 0.996998 | + | 0.0774237i | \(0.0246694\pi\) |
−0.934800 | + | 0.355174i | \(0.884421\pi\) | |||||||
\(942\) | 5.85621i | 0.190806i | ||||||||
\(943\) | 6.39399 | + | 35.1680i | 0.208217 | + | 1.14523i | ||||
\(944\) | 16.7362i | 0.544718i | ||||||||
\(945\) | −4.59263 | − | 5.46184i | −0.149398 | − | 0.177674i | ||||
\(946\) | 5.89312 | − | 12.9041i | 0.191602 | − | 0.419550i | ||||
\(947\) | −10.9240 | + | 3.20758i | −0.354983 | + | 0.104232i | −0.454362 | − | 0.890817i | \(-0.650133\pi\) |
0.0993790 | + | 0.995050i | \(0.468314\pi\) | |||||||
\(948\) | −0.462285 | + | 0.533506i | −0.0150143 | + | 0.0173275i | ||||
\(949\) | −6.30524 | − | 1.85139i | −0.204677 | − | 0.0600985i | ||||
\(950\) | −0.0420833 | + | 0.0270453i | −0.00136536 | + | 0.000877466i | ||||
\(951\) | −25.1244 | + | 11.4739i | −0.814715 | + | 0.372068i | ||||
\(952\) | −0.775605 | + | 2.50346i | −0.0251375 | + | 0.0811376i | ||||
\(953\) | 0.218039 | − | 0.339275i | 0.00706297 | − | 0.0109902i | −0.837704 | − | 0.546124i | \(-0.816103\pi\) |
0.844767 | + | 0.535134i | \(0.179739\pi\) | |||||||
\(954\) | 1.23442 | + | 0.177482i | 0.0399657 | + | 0.00574620i | ||||
\(955\) | 52.7921 | + | 7.59036i | 1.70831 | + | 0.245618i | ||||
\(956\) | −16.3445 | − | 10.5040i | −0.528620 | − | 0.339723i | ||||
\(957\) | 7.06542 | + | 8.15393i | 0.228393 | + | 0.263579i | ||||
\(958\) | 0.0426124 | + | 0.0933082i | 0.00137675 | + | 0.00301465i | ||||
\(959\) | −2.18933 | + | 4.61165i | −0.0706971 | + | 0.148918i | ||||
\(960\) | −1.55761 | + | 5.30475i | −0.0502718 | + | 0.171210i | ||||
\(961\) | 5.51763 | − | 6.36768i | 0.177988 | − | 0.205409i | ||||
\(962\) | 2.10024 | − | 0.616686i | 0.0677144 | − | 0.0198828i | ||||
\(963\) | −1.75185 | − | 0.800042i | −0.0564525 | − | 0.0257810i | ||||
\(964\) | −5.63884 | − | 39.2190i | −0.181615 | − | 1.26316i | ||||
\(965\) | 32.2377 | 1.03777 | ||||||||
\(966\) | −6.61804 | + | 1.10208i | −0.212932 | + | 0.0354588i | ||||
\(967\) | −4.23836 | −0.136296 | −0.0681482 | − | 0.997675i | \(-0.521709\pi\) | ||||
−0.0681482 | + | 0.997675i | \(0.521709\pi\) | |||||||
\(968\) | −0.995696 | − | 6.92521i | −0.0320029 | − | 0.222585i | ||||
\(969\) | 0.0190495 | + | 0.00869963i | 0.000611959 | + | 0.000279473i | ||||
\(970\) | −0.290193 | + | 0.0852085i | −0.00931755 | + | 0.00273588i | ||||
\(971\) | −18.3051 | + | 21.1252i | −0.587438 | + | 0.677940i | −0.969187 | − | 0.246326i | \(-0.920777\pi\) |
0.381749 | + | 0.924266i | \(0.375322\pi\) | |||||||
\(972\) | 0.484697 | − | 1.65073i | 0.0155467 | − | 0.0529471i | ||||
\(973\) | −23.2725 | + | 49.0217i | −0.746082 | + | 1.57156i | ||||
\(974\) | 1.54829 | + | 3.39029i | 0.0496105 | + | 0.108632i | ||||
\(975\) | 1.13473 | + | 1.30955i | 0.0363406 | + | 0.0419393i | ||||
\(976\) | 21.0835 | + | 13.5496i | 0.674867 | + | 0.433711i | ||||
\(977\) | 25.4079 | + | 3.65310i | 0.812870 | + | 0.116873i | 0.536199 | − | 0.844092i | \(-0.319860\pi\) |
0.276671 | + | 0.960965i | \(0.410769\pi\) | |||||||
\(978\) | 5.30622 | + | 0.762919i | 0.169674 | + | 0.0243955i | ||||
\(979\) | 7.75428 | − | 12.0659i | 0.247828 | − | 0.385627i | ||||
\(980\) | 31.4241 | − | 8.22259i | 1.00381 | − | 0.262661i | ||||
\(981\) | 5.69136 | − | 2.59916i | 0.181711 | − | 0.0829847i | ||||
\(982\) | 12.2778 | − | 7.89049i | 0.391801 | − | 0.251796i | ||||
\(983\) | 14.0214 | + | 4.11705i | 0.447213 | + | 0.131313i | 0.497582 | − | 0.867417i | \(-0.334222\pi\) |
−0.0503690 | + | 0.998731i | \(0.516040\pi\) | |||||||
\(984\) | −9.60157 | + | 11.0808i | −0.306087 | + | 0.353243i | ||||
\(985\) | −23.4599 | + | 6.88845i | −0.747495 | + | 0.219484i | ||||
\(986\) | −0.437408 | + | 0.957790i | −0.0139299 | + | 0.0305022i | ||||
\(987\) | −0.702543 | + | 0.590739i | −0.0223622 | + | 0.0188034i | ||||
\(988\) | 0.0545001i | 0.00173388i | ||||||||
\(989\) | −21.1670 | − | 42.1441i | −0.673070 | − | 1.34010i | ||||
\(990\) | − | 3.89095i | − | 0.123663i | ||||||
\(991\) | −1.55705 | − | 10.8295i | −0.0494612 | − | 0.344010i | −0.999492 | − | 0.0318556i | \(-0.989858\pi\) |
0.950031 | − | 0.312155i | \(-0.101051\pi\) | |||||||
\(992\) | −29.7216 | − | 13.5734i | −0.943663 | − | 0.430956i | ||||
\(993\) | 8.22815 | + | 28.0225i | 0.261112 | + | 0.889267i | ||||
\(994\) | 3.72246 | + | 0.591701i | 0.118069 | + | 0.0187676i | ||||
\(995\) | −18.7540 | − | 5.50667i | −0.594542 | − | 0.174573i | ||||
\(996\) | 11.5959 | + | 18.0436i | 0.367431 | + | 0.571733i | ||||
\(997\) | −33.8092 | + | 15.4402i | −1.07075 | + | 0.488994i | −0.871218 | − | 0.490897i | \(-0.836669\pi\) |
−0.199531 | + | 0.979892i | \(0.563942\pi\) | |||||||
\(998\) | 9.72200 | + | 11.2198i | 0.307744 | + | 0.355156i | ||||
\(999\) | −4.57200 | − | 2.93825i | −0.144652 | − | 0.0929621i |
(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 | 483.2.r.a.181.19 | ✓ | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.181.20 | yes | 320 | |
23.15 | odd | 22 | inner | 483.2.r.a.475.20 | yes | 320 | |
161.153 | even | 22 | inner | 483.2.r.a.475.19 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.181.19 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.r.a.181.20 | yes | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.475.19 | yes | 320 | 161.153 | even | 22 | inner | |
483.2.r.a.475.20 | yes | 320 | 23.15 | odd | 22 | inner |