Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(47,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([7, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bd (of order \(42\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 122.52 | ||
Character | \(\chi\) | \(=\) | 441.122 |
Dual form | 441.2.bd.a.47.52 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{37}{42}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.73309 | − | 1.86783i | 1.22548 | − | 1.32075i | 0.294515 | − | 0.955647i | \(-0.404842\pi\) |
0.930966 | − | 0.365107i | \(-0.118968\pi\) | |||||||
\(3\) | 1.41963 | + | 0.992289i | 0.819626 | + | 0.572898i | ||||
\(4\) | −0.335716 | − | 4.47983i | −0.167858 | − | 2.23991i | ||||
\(5\) | 1.23495 | − | 1.54857i | 0.552285 | − | 0.692543i | −0.424826 | − | 0.905275i | \(-0.639665\pi\) |
0.977111 | + | 0.212732i | \(0.0682360\pi\) | |||||||
\(6\) | 4.31378 | − | 0.931906i | 1.76109 | − | 0.380449i | ||||
\(7\) | −2.58103 | − | 0.581642i | −0.975536 | − | 0.219840i | ||||
\(8\) | −4.96513 | − | 3.95956i | −1.75544 | − | 1.39992i | ||||
\(9\) | 1.03072 | + | 2.81738i | 0.343575 | + | 0.939125i | ||||
\(10\) | −0.752195 | − | 4.99049i | −0.237865 | − | 1.57813i | ||||
\(11\) | 3.41384 | + | 0.779186i | 1.02931 | + | 0.234933i | 0.703645 | − | 0.710552i | \(-0.251554\pi\) |
0.325666 | + | 0.945485i | \(0.394412\pi\) | |||||||
\(12\) | 3.96869 | − | 6.69284i | 1.14566 | − | 1.93206i | ||||
\(13\) | −3.09441 | + | 3.33498i | −0.858235 | + | 0.924958i | −0.997869 | − | 0.0652455i | \(-0.979217\pi\) |
0.139634 | + | 0.990203i | \(0.455407\pi\) | |||||||
\(14\) | −5.55956 | + | 3.81287i | −1.48585 | + | 1.01903i | ||||
\(15\) | 3.28981 | − | 0.972985i | 0.849424 | − | 0.251224i | ||||
\(16\) | −7.11638 | + | 1.07262i | −1.77910 | + | 0.268156i | ||||
\(17\) | −0.0470632 | + | 0.628015i | −0.0114145 | + | 0.152316i | 0.988584 | + | 0.150670i | \(0.0481430\pi\) |
−0.999999 | + | 0.00164620i | \(0.999476\pi\) | |||||||
\(18\) | 7.04871 | + | 2.95755i | 1.66140 | + | 0.697102i | ||||
\(19\) | −5.31120 | + | 3.06642i | −1.21847 | + | 0.703486i | −0.964591 | − | 0.263750i | \(-0.915041\pi\) |
−0.253882 | + | 0.967235i | \(0.581707\pi\) | |||||||
\(20\) | −7.35193 | − | 5.01246i | −1.64394 | − | 1.12082i | ||||
\(21\) | −3.08696 | − | 3.38684i | −0.673629 | − | 0.739070i | ||||
\(22\) | 7.37188 | − | 5.02606i | 1.57169 | − | 1.07156i | ||||
\(23\) | 0.622492 | − | 1.29262i | 0.129799 | − | 0.269530i | −0.825934 | − | 0.563767i | \(-0.809351\pi\) |
0.955732 | + | 0.294238i | \(0.0950657\pi\) | |||||||
\(24\) | −3.11964 | − | 10.5480i | −0.636795 | − | 2.15310i | ||||
\(25\) | 0.239616 | + | 1.04983i | 0.0479232 | + | 0.209965i | ||||
\(26\) | 0.866277 | + | 11.5597i | 0.169891 | + | 2.26704i | ||||
\(27\) | −1.33240 | + | 5.02242i | −0.256420 | + | 0.966565i | ||||
\(28\) | −1.73916 | + | 11.7578i | −0.328670 | + | 2.22202i | ||||
\(29\) | 1.94993 | − | 2.86002i | 0.362093 | − | 0.531093i | −0.601357 | − | 0.798980i | \(-0.705373\pi\) |
0.963450 | + | 0.267887i | \(0.0863255\pi\) | |||||||
\(30\) | 3.88417 | − | 7.83107i | 0.709148 | − | 1.42975i | ||||
\(31\) | 7.04024 | − | 4.06469i | 1.26446 | − | 0.730039i | 0.290530 | − | 0.956866i | \(-0.406168\pi\) |
0.973935 | + | 0.226827i | \(0.0728352\pi\) | |||||||
\(32\) | −3.17498 | + | 4.65684i | −0.561262 | + | 0.823221i | ||||
\(33\) | 4.07322 | + | 4.49367i | 0.709057 | + | 0.782248i | ||||
\(34\) | 1.09146 | + | 1.17631i | 0.187184 | + | 0.201736i | ||||
\(35\) | −4.08814 | + | 3.27861i | −0.691023 | + | 0.554187i | ||||
\(36\) | 12.2753 | − | 5.56331i | 2.04589 | − | 0.927218i | ||||
\(37\) | −3.85939 | − | 2.63129i | −0.634480 | − | 0.432581i | 0.202902 | − | 0.979199i | \(-0.434963\pi\) |
−0.837382 | + | 0.546618i | \(0.815915\pi\) | |||||||
\(38\) | −3.47724 | + | 15.2348i | −0.564083 | + | 2.47141i | ||||
\(39\) | −7.70220 | + | 1.66391i | −1.23334 | + | 0.266438i | ||||
\(40\) | −12.2633 | + | 2.79903i | −1.93901 | + | 0.442565i | ||||
\(41\) | 0.825001 | + | 2.10207i | 0.128844 | + | 0.328288i | 0.980709 | − | 0.195472i | \(-0.0626240\pi\) |
−0.851866 | + | 0.523760i | \(0.824529\pi\) | |||||||
\(42\) | −11.6760 | − | 0.103802i | −1.80165 | − | 0.0160169i | ||||
\(43\) | 1.99059 | − | 5.07195i | 0.303563 | − | 0.773466i | −0.694956 | − | 0.719053i | \(-0.744576\pi\) |
0.998519 | − | 0.0544129i | \(-0.0173287\pi\) | |||||||
\(44\) | 2.34454 | − | 15.5550i | 0.353452 | − | 2.34500i | ||||
\(45\) | 5.63581 | + | 1.88316i | 0.840136 | + | 0.280724i | ||||
\(46\) | −1.33555 | − | 3.40294i | −0.196917 | − | 0.501735i | ||||
\(47\) | −1.17080 | − | 1.08634i | −0.170779 | − | 0.158459i | 0.590153 | − | 0.807291i | \(-0.299067\pi\) |
−0.760932 | + | 0.648832i | \(0.775258\pi\) | |||||||
\(48\) | −11.1670 | − | 5.53878i | −1.61182 | − | 0.799454i | ||||
\(49\) | 6.32339 | + | 3.00246i | 0.903341 | + | 0.428923i | ||||
\(50\) | 2.37617 | + | 1.37188i | 0.336041 | + | 0.194013i | ||||
\(51\) | −0.689985 | + | 0.844852i | −0.0966173 | + | 0.118303i | ||||
\(52\) | 15.9790 | + | 12.7428i | 2.21589 | + | 1.76711i | ||||
\(53\) | −1.66029 | − | 2.43520i | −0.228058 | − | 0.334500i | 0.695105 | − | 0.718908i | \(-0.255358\pi\) |
−0.923163 | + | 0.384408i | \(0.874406\pi\) | |||||||
\(54\) | 7.07185 | + | 11.1930i | 0.962357 | + | 1.52318i | ||||
\(55\) | 5.42254 | − | 4.32433i | 0.731175 | − | 0.583092i | ||||
\(56\) | 10.5121 | + | 13.1077i | 1.40474 | + | 1.75158i | ||||
\(57\) | −10.5827 | − | 0.917046i | −1.40172 | − | 0.121466i | ||||
\(58\) | −1.96262 | − | 8.59881i | −0.257705 | − | 1.12908i | ||||
\(59\) | −3.39032 | + | 8.63838i | −0.441382 | + | 1.12462i | 0.521153 | + | 0.853463i | \(0.325502\pi\) |
−0.962535 | + | 0.271159i | \(0.912593\pi\) | |||||||
\(60\) | −5.46325 | − | 14.4111i | −0.705302 | − | 1.86047i | ||||
\(61\) | −8.47359 | − | 0.635008i | −1.08493 | − | 0.0813045i | −0.479761 | − | 0.877399i | \(-0.659277\pi\) |
−0.605172 | + | 0.796095i | \(0.706896\pi\) | |||||||
\(62\) | 4.60925 | − | 20.1944i | 0.585375 | − | 2.56470i | ||||
\(63\) | −1.02162 | − | 7.87123i | −0.128713 | − | 0.991682i | ||||
\(64\) | −0.00721482 | − | 0.0316102i | −0.000901852 | − | 0.00395127i | ||||
\(65\) | 1.34303 | + | 8.91045i | 0.166583 | + | 1.10521i | ||||
\(66\) | 15.4527 | + | 0.179864i | 1.90209 | + | 0.0221397i | ||||
\(67\) | 5.53764 | + | 9.59148i | 0.676531 | + | 1.17179i | 0.976019 | + | 0.217686i | \(0.0698507\pi\) |
−0.299488 | + | 0.954100i | \(0.596816\pi\) | |||||||
\(68\) | 2.82920 | 0.343091 | ||||||||
\(69\) | 2.16636 | − | 1.21735i | 0.260800 | − | 0.146552i | ||||
\(70\) | −0.961241 | + | 13.3181i | −0.114890 | + | 1.59182i | ||||
\(71\) | −3.74652 | + | 7.77974i | −0.444631 | + | 0.923285i | 0.551397 | + | 0.834243i | \(0.314095\pi\) |
−0.996028 | + | 0.0890422i | \(0.971619\pi\) | |||||||
\(72\) | 6.03789 | − | 18.0699i | 0.711572 | − | 2.12955i | ||||
\(73\) | 4.09686 | − | 13.2817i | 0.479501 | − | 1.55450i | −0.316125 | − | 0.948717i | \(-0.602382\pi\) |
0.795627 | − | 0.605787i | \(-0.207142\pi\) | |||||||
\(74\) | −11.6035 | + | 2.64842i | −1.34888 | + | 0.307872i | ||||
\(75\) | −0.701564 | + | 1.72814i | −0.0810096 | + | 0.199548i | ||||
\(76\) | 15.5201 | + | 22.7638i | 1.78028 | + | 2.61119i | ||||
\(77\) | −8.35800 | − | 3.99673i | −0.952482 | − | 0.455470i | ||||
\(78\) | −10.2407 | + | 17.2701i | −1.15953 | + | 1.95545i | ||||
\(79\) | −4.93847 | + | 8.55369i | −0.555622 | + | 0.962365i | 0.442233 | + | 0.896900i | \(0.354186\pi\) |
−0.997855 | + | 0.0654648i | \(0.979147\pi\) | |||||||
\(80\) | −7.12732 | + | 12.3449i | −0.796859 | + | 1.38020i | ||||
\(81\) | −6.87521 | + | 5.80788i | −0.763913 | + | 0.645320i | ||||
\(82\) | 5.35610 | + | 2.10212i | 0.591483 | + | 0.232140i | ||||
\(83\) | −10.1509 | + | 9.41868i | −1.11421 | + | 1.03383i | −0.115028 | + | 0.993362i | \(0.536696\pi\) |
−0.999181 | + | 0.0404719i | \(0.987114\pi\) | |||||||
\(84\) | −14.1361 | + | 14.9660i | −1.54238 | + | 1.63293i | ||||
\(85\) | 0.914408 | + | 0.848446i | 0.0991814 | + | 0.0920269i | ||||
\(86\) | −6.02365 | − | 12.5082i | −0.649547 | − | 1.34880i | ||||
\(87\) | 5.60616 | − | 2.12529i | 0.601043 | − | 0.227855i | ||||
\(88\) | −13.8649 | − | 17.3861i | −1.47801 | − | 1.85336i | ||||
\(89\) | −12.0271 | + | 11.1595i | −1.27487 | + | 1.18290i | −0.301547 | + | 0.953451i | \(0.597503\pi\) |
−0.973320 | + | 0.229452i | \(0.926307\pi\) | |||||||
\(90\) | 13.2848 | − | 7.26304i | 1.40034 | − | 0.765591i | ||||
\(91\) | 9.92652 | − | 6.80784i | 1.04058 | − | 0.713655i | ||||
\(92\) | −5.99969 | − | 2.35470i | −0.625511 | − | 0.245495i | ||||
\(93\) | 14.0279 | + | 1.21559i | 1.45463 | + | 0.126050i | ||||
\(94\) | −4.05820 | + | 0.304120i | −0.418572 | + | 0.0313676i | ||||
\(95\) | −1.81047 | + | 12.0117i | −0.185750 | + | 1.23237i | ||||
\(96\) | −9.12824 | + | 3.46051i | −0.931647 | + | 0.353187i | ||||
\(97\) | 9.01573 | − | 5.20523i | 0.915408 | − | 0.528511i | 0.0332411 | − | 0.999447i | \(-0.489417\pi\) |
0.882167 | + | 0.470936i | \(0.156084\pi\) | |||||||
\(98\) | 16.5671 | − | 6.60746i | 1.67353 | − | 0.667454i | ||||
\(99\) | 1.32347 | + | 10.4212i | 0.133013 | + | 1.04737i | ||||
\(100\) | 4.62259 | − | 1.42588i | 0.462259 | − | 0.142588i | ||||
\(101\) | 7.43760 | − | 9.32646i | 0.740069 | − | 0.928018i | −0.259216 | − | 0.965819i | \(-0.583464\pi\) |
0.999285 | + | 0.0378018i | \(0.0120356\pi\) | |||||||
\(102\) | 0.382231 | + | 2.75298i | 0.0378465 | + | 0.272586i | ||||
\(103\) | 2.73445 | + | 2.18065i | 0.269434 | + | 0.214866i | 0.748881 | − | 0.662705i | \(-0.230591\pi\) |
−0.479447 | + | 0.877571i | \(0.659163\pi\) | |||||||
\(104\) | 28.5692 | − | 4.30612i | 2.80144 | − | 0.422250i | ||||
\(105\) | −9.05700 | + | 0.597812i | −0.883873 | + | 0.0583405i | ||||
\(106\) | −7.42597 | − | 1.11928i | −0.721274 | − | 0.108715i | ||||
\(107\) | −13.7351 | − | 14.8030i | −1.32783 | − | 1.43106i | −0.823237 | − | 0.567698i | \(-0.807834\pi\) |
−0.504590 | − | 0.863359i | \(-0.668356\pi\) | |||||||
\(108\) | 22.9469 | + | 4.28280i | 2.20806 | + | 0.412113i | ||||
\(109\) | −11.0479 | − | 10.2509i | −1.05819 | − | 0.981859i | −0.0583275 | − | 0.998298i | \(-0.518577\pi\) |
−0.999865 | + | 0.0164385i | \(0.994767\pi\) | |||||||
\(110\) | 1.32065 | − | 17.6228i | 0.125919 | − | 1.68027i | ||||
\(111\) | −2.86793 | − | 7.56510i | −0.272211 | − | 0.718047i | ||||
\(112\) | 18.9915 | + | 1.37072i | 1.79452 | + | 0.129521i | ||||
\(113\) | 4.66159 | − | 15.1125i | 0.438525 | − | 1.42166i | −0.419359 | − | 0.907820i | \(-0.637745\pi\) |
0.857884 | − | 0.513843i | \(-0.171779\pi\) | |||||||
\(114\) | −20.0537 | + | 18.1774i | −1.87821 | + | 1.70247i | ||||
\(115\) | −1.23297 | − | 2.56029i | −0.114975 | − | 0.238748i | ||||
\(116\) | −13.4670 | − | 7.77519i | −1.25038 | − | 0.721908i | ||||
\(117\) | −12.5854 | − | 5.28067i | −1.16352 | − | 0.488198i | ||||
\(118\) | 10.2593 | + | 21.3036i | 0.944444 | + | 1.96116i | ||||
\(119\) | 0.486751 | − | 1.59355i | 0.0446204 | − | 0.146080i | ||||
\(120\) | −20.1869 | − | 8.19519i | −1.84281 | − | 0.748115i | ||||
\(121\) | 1.13650 | + | 0.547309i | 0.103318 | + | 0.0497554i | ||||
\(122\) | −15.8716 | + | 14.7267i | −1.43695 | + | 1.33329i | ||||
\(123\) | −0.914660 | + | 3.80281i | −0.0824721 | + | 0.342888i | ||||
\(124\) | −20.5726 | − | 30.1745i | −1.84747 | − | 2.70975i | ||||
\(125\) | 10.8444 | + | 5.22239i | 0.969952 | + | 0.467104i | ||||
\(126\) | −16.4727 | − | 11.7333i | −1.46750 | − | 1.04529i | ||||
\(127\) | 11.4243 | − | 5.50167i | 1.01375 | − | 0.488195i | 0.148165 | − | 0.988963i | \(-0.452663\pi\) |
0.865582 | + | 0.500768i | \(0.166949\pi\) | |||||||
\(128\) | −9.83372 | − | 5.67750i | −0.869186 | − | 0.501825i | ||||
\(129\) | 7.85876 | − | 5.22507i | 0.691925 | − | 0.460042i | ||||
\(130\) | 18.9708 | + | 12.9341i | 1.66385 | + | 1.13439i | ||||
\(131\) | 1.43605 | + | 1.80075i | 0.125468 | + | 0.157332i | 0.840598 | − | 0.541659i | \(-0.182204\pi\) |
−0.715130 | + | 0.698992i | \(0.753632\pi\) | |||||||
\(132\) | 18.7634 | − | 19.7559i | 1.63315 | − | 1.71953i | ||||
\(133\) | 15.4919 | − | 4.82530i | 1.34332 | − | 0.418407i | ||||
\(134\) | 27.5125 | + | 6.27954i | 2.37672 | + | 0.542470i | ||||
\(135\) | 6.13215 | + | 8.26574i | 0.527772 | + | 0.711402i | ||||
\(136\) | 2.72034 | − | 2.93183i | 0.233267 | − | 0.251402i | ||||
\(137\) | 13.7845 | − | 10.9928i | 1.17769 | − | 0.939176i | 0.178691 | − | 0.983905i | \(-0.442814\pi\) |
0.998999 | + | 0.0447288i | \(0.0142424\pi\) | |||||||
\(138\) | 1.48070 | − | 6.15618i | 0.126045 | − | 0.524049i | ||||
\(139\) | −10.4871 | + | 4.11587i | −0.889501 | + | 0.349104i | −0.765696 | − | 0.643203i | \(-0.777605\pi\) |
−0.123806 | + | 0.992306i | \(0.539510\pi\) | |||||||
\(140\) | 16.0601 | + | 17.2135i | 1.35732 | + | 1.45481i | ||||
\(141\) | −0.584141 | − | 2.70398i | −0.0491935 | − | 0.227716i | ||||
\(142\) | 8.03814 | + | 20.4809i | 0.674546 | + | 1.71872i | ||||
\(143\) | −13.1624 | + | 8.97397i | −1.10069 | + | 0.750441i | ||||
\(144\) | −10.3570 | − | 18.9439i | −0.863084 | − | 1.57866i | ||||
\(145\) | −2.02090 | − | 6.55159i | −0.167826 | − | 0.544080i | ||||
\(146\) | −17.7077 | − | 30.6706i | −1.46550 | − | 2.53832i | ||||
\(147\) | 5.99759 | + | 10.5370i | 0.494673 | + | 0.869079i | ||||
\(148\) | −10.4920 | + | 18.1728i | −0.862441 | + | 1.49379i | ||||
\(149\) | 8.31236 | + | 1.89724i | 0.680975 | + | 0.155428i | 0.548997 | − | 0.835824i | \(-0.315010\pi\) |
0.131978 | + | 0.991253i | \(0.457867\pi\) | |||||||
\(150\) | 2.01199 | + | 4.30542i | 0.164278 | + | 0.351536i | ||||
\(151\) | −4.24134 | − | 2.04252i | −0.345155 | − | 0.166218i | 0.253272 | − | 0.967395i | \(-0.418493\pi\) |
−0.598427 | + | 0.801177i | \(0.704207\pi\) | |||||||
\(152\) | 38.5125 | + | 5.80483i | 3.12378 | + | 0.470834i | ||||
\(153\) | −1.81786 | + | 0.514716i | −0.146966 | + | 0.0416123i | ||||
\(154\) | −21.9504 | + | 8.68460i | −1.76881 | + | 0.699825i | ||||
\(155\) | 2.39986 | − | 15.9220i | 0.192761 | − | 1.27889i | ||||
\(156\) | 10.0398 | + | 33.9459i | 0.803824 | + | 2.71785i | ||||
\(157\) | 10.4410 | + | 4.09780i | 0.833284 | + | 0.327040i | 0.743346 | − | 0.668907i | \(-0.233238\pi\) |
0.0899383 | + | 0.995947i | \(0.471333\pi\) | |||||||
\(158\) | 7.41799 | + | 24.0485i | 0.590144 | + | 1.91320i | ||||
\(159\) | 0.0594155 | − | 5.10458i | 0.00471195 | − | 0.404820i | ||||
\(160\) | 3.29053 | + | 10.6676i | 0.260139 | + | 0.843351i | ||||
\(161\) | −2.35851 | + | 2.97422i | −0.185877 | + | 0.234401i | ||||
\(162\) | −1.06725 | + | 22.9073i | −0.0838513 | + | 1.79977i | ||||
\(163\) | 0.980318 | − | 2.49781i | 0.0767845 | − | 0.195644i | −0.887327 | − | 0.461140i | \(-0.847441\pi\) |
0.964112 | + | 0.265496i | \(0.0855358\pi\) | |||||||
\(164\) | 9.13993 | − | 4.40156i | 0.713709 | − | 0.343704i | ||||
\(165\) | 11.9890 | − | 0.758243i | 0.933343 | − | 0.0590291i | ||||
\(166\) | 35.2836i | 2.73854i | ||||||||
\(167\) | 0.854941 | − | 11.4084i | 0.0661574 | − | 0.882809i | −0.861112 | − | 0.508415i | \(-0.830232\pi\) |
0.927270 | − | 0.374394i | \(-0.122149\pi\) | |||||||
\(168\) | 1.91674 | + | 29.0391i | 0.147880 | + | 2.24042i | ||||
\(169\) | −0.575234 | − | 7.67597i | −0.0442488 | − | 0.590459i | ||||
\(170\) | 3.16950 | − | 0.237521i | 0.243090 | − | 0.0182171i | ||||
\(171\) | −14.1137 | − | 11.8030i | −1.07930 | − | 0.902599i | ||||
\(172\) | −23.3897 | − | 7.21478i | −1.78345 | − | 0.550122i | ||||
\(173\) | 4.68349 | − | 3.19315i | 0.356079 | − | 0.242771i | −0.372047 | − | 0.928214i | \(-0.621344\pi\) |
0.728126 | + | 0.685443i | \(0.240392\pi\) | |||||||
\(174\) | 5.74630 | − | 14.1547i | 0.435626 | − | 1.07306i | ||||
\(175\) | −0.00783245 | − | 2.84900i | −0.000592078 | − | 0.215364i | ||||
\(176\) | −25.1300 | − | 1.88323i | −1.89424 | − | 0.141954i | ||||
\(177\) | −13.3848 | + | 8.89918i | −1.00606 | + | 0.668903i | ||||
\(178\) | 41.8049i | 3.13341i | ||||||||
\(179\) | −0.802147 | − | 0.0601126i | −0.0599553 | − | 0.00449303i | 0.0447187 | − | 0.999000i | \(-0.485761\pi\) |
−0.104674 | + | 0.994507i | \(0.533380\pi\) | |||||||
\(180\) | 6.54417 | − | 25.8796i | 0.487774 | − | 1.92895i | ||||
\(181\) | −14.5304 | + | 3.31647i | −1.08004 | + | 0.246512i | −0.725285 | − | 0.688449i | \(-0.758292\pi\) |
−0.354752 | + | 0.934960i | \(0.615435\pi\) | |||||||
\(182\) | 4.48769 | − | 30.3396i | 0.332650 | − | 2.24892i | ||||
\(183\) | −11.3993 | − | 9.30973i | −0.842660 | − | 0.688195i | ||||
\(184\) | −8.20896 | + | 3.95323i | −0.605173 | + | 0.291436i | ||||
\(185\) | −8.84089 | + | 2.72705i | −0.649995 | + | 0.200497i | ||||
\(186\) | 26.5822 | − | 24.0950i | 1.94910 | − | 1.76673i | ||||
\(187\) | −0.650007 | + | 2.10727i | −0.0475332 | + | 0.154099i | ||||
\(188\) | −4.47357 | + | 5.60968i | −0.326268 | + | 0.409128i | ||||
\(189\) | 6.36020 | − | 12.1880i | 0.462637 | − | 0.886548i | ||||
\(190\) | 19.2980 | + | 24.1989i | 1.40002 | + | 1.75558i | ||||
\(191\) | −16.4785 | + | 6.46732i | −1.19234 | + | 0.467959i | −0.876755 | − | 0.480938i | \(-0.840296\pi\) |
−0.315586 | + | 0.948897i | \(0.602201\pi\) | |||||||
\(192\) | 0.0211240 | − | 0.0520341i | 0.00152450 | − | 0.00375524i | ||||
\(193\) | −2.58389 | − | 0.389458i | −0.185992 | − | 0.0280338i | 0.0553856 | − | 0.998465i | \(-0.482361\pi\) |
−0.241378 | + | 0.970431i | \(0.577599\pi\) | |||||||
\(194\) | 5.90260 | − | 25.8610i | 0.423782 | − | 1.85671i | ||||
\(195\) | −6.93513 | + | 13.9823i | −0.496635 | + | 1.00129i | ||||
\(196\) | 11.3276 | − | 29.3356i | 0.809118 | − | 2.09540i | ||||
\(197\) | − | 21.0770i | − | 1.50167i | −0.660488 | − | 0.750837i | \(-0.729650\pi\) | ||
0.660488 | − | 0.750837i | \(-0.270350\pi\) | |||||||
\(198\) | 21.7587 | + | 15.5889i | 1.54632 | + | 1.10785i | ||||
\(199\) | −0.372623 | + | 0.146244i | −0.0264145 | + | 0.0103669i | −0.378512 | − | 0.925597i | \(-0.623564\pi\) |
0.352097 | + | 0.935964i | \(0.385469\pi\) | |||||||
\(200\) | 2.96712 | − | 6.16130i | 0.209807 | − | 0.435669i | ||||
\(201\) | −1.65609 | + | 19.1113i | −0.116812 | + | 1.34801i | ||||
\(202\) | −4.53018 | − | 30.0558i | −0.318742 | − | 2.11472i | ||||
\(203\) | −6.69633 | + | 6.24763i | −0.469990 | + | 0.438498i | ||||
\(204\) | 4.01643 | + | 2.80738i | 0.281206 | + | 0.196556i | ||||
\(205\) | 4.27404 | + | 1.31837i | 0.298512 | + | 0.0920788i | ||||
\(206\) | 8.81214 | − | 1.32822i | 0.613971 | − | 0.0925412i | ||||
\(207\) | 4.28341 | + | 0.421461i | 0.297718 | + | 0.0292936i | ||||
\(208\) | 18.4438 | − | 27.0521i | 1.27885 | − | 1.87573i | ||||
\(209\) | −20.5209 | + | 6.32986i | −1.41946 | + | 0.437845i | ||||
\(210\) | −14.5800 | + | 17.9530i | −1.00612 | + | 1.23887i | ||||
\(211\) | 11.8040 | + | 3.64106i | 0.812623 | + | 0.250661i | 0.673094 | − | 0.739557i | \(-0.264965\pi\) |
0.139529 | + | 0.990218i | \(0.455441\pi\) | |||||||
\(212\) | −10.3519 | + | 8.25535i | −0.710970 | + | 0.566980i | ||||
\(213\) | −13.0384 | + | 7.32675i | −0.893379 | + | 0.502021i | ||||
\(214\) | −51.4537 | −3.51730 | ||||||||
\(215\) | −5.39602 | − | 9.34618i | −0.368005 | − | 0.637404i | ||||
\(216\) | 26.5021 | − | 19.6613i | 1.80324 | − | 1.33778i | ||||
\(217\) | −20.5352 | + | 6.39616i | −1.39402 | + | 0.434200i | ||||
\(218\) | −38.2939 | + | 2.86973i | −2.59359 | + | 0.194363i | ||||
\(219\) | 18.9953 | − | 14.7899i | 1.28359 | − | 0.999408i | ||||
\(220\) | −21.1927 | − | 22.8403i | −1.42881 | − | 1.53989i | ||||
\(221\) | −1.94879 | − | 2.10029i | −0.131090 | − | 0.141281i | ||||
\(222\) | −19.1007 | − | 7.75421i | −1.28195 | − | 0.520429i | ||||
\(223\) | −7.63684 | + | 0.572302i | −0.511401 | + | 0.0383242i | −0.327932 | − | 0.944701i | \(-0.606352\pi\) |
−0.183469 | + | 0.983026i | \(0.558733\pi\) | |||||||
\(224\) | 10.9033 | − | 10.1727i | 0.728508 | − | 0.679694i | ||||
\(225\) | −2.71078 | + | 1.75717i | −0.180718 | + | 0.117145i | ||||
\(226\) | −20.1486 | − | 34.8984i | −1.34026 | − | 2.32140i | ||||
\(227\) | 13.4849 | 0.895026 | 0.447513 | − | 0.894277i | \(-0.352310\pi\) | ||||
0.447513 | + | 0.894277i | \(0.352310\pi\) | |||||||
\(228\) | −0.555405 | + | 47.7167i | −0.0367826 | + | 3.16012i | ||||
\(229\) | 19.7681 | − | 15.7646i | 1.30632 | − | 1.04175i | 0.310480 | − | 0.950580i | \(-0.399510\pi\) |
0.995835 | − | 0.0911717i | \(-0.0290612\pi\) | |||||||
\(230\) | −6.91904 | − | 2.13424i | −0.456228 | − | 0.140728i | ||||
\(231\) | −7.89939 | − | 13.9674i | −0.519742 | − | 0.918990i | ||||
\(232\) | −21.0061 | + | 6.47952i | −1.37912 | + | 0.425401i | ||||
\(233\) | −3.78015 | + | 5.54446i | −0.247646 | + | 0.363230i | −0.929854 | − | 0.367928i | \(-0.880067\pi\) |
0.682208 | + | 0.731158i | \(0.261020\pi\) | |||||||
\(234\) | −31.6750 | + | 14.3555i | −2.07066 | + | 0.938445i | ||||
\(235\) | −3.12816 | + | 0.471494i | −0.204058 | + | 0.0307569i | ||||
\(236\) | 39.8366 | + | 12.2880i | 2.59314 | + | 0.799879i | ||||
\(237\) | −15.4986 | + | 7.24272i | −1.00674 | + | 0.470465i | ||||
\(238\) | −2.13289 | − | 3.67093i | −0.138255 | − | 0.237951i | ||||
\(239\) | 3.66897 | + | 24.3421i | 0.237326 | + | 1.57456i | 0.716977 | + | 0.697097i | \(0.245525\pi\) |
−0.479650 | + | 0.877460i | \(0.659237\pi\) | |||||||
\(240\) | −22.3679 | + | 10.4529i | −1.44384 | + | 0.674729i | ||||
\(241\) | −2.69509 | + | 5.59641i | −0.173606 | + | 0.360496i | −0.969557 | − | 0.244864i | \(-0.921257\pi\) |
0.795952 | + | 0.605360i | \(0.206971\pi\) | |||||||
\(242\) | 2.99194 | − | 1.17425i | 0.192329 | − | 0.0754836i | ||||
\(243\) | −15.5234 | + | 1.42287i | −0.995826 | + | 0.0912769i | ||||
\(244\) | 38.1734i | 2.44380i | ||||||||
\(245\) | 12.4586 | − | 6.08435i | 0.795950 | − | 0.388715i | ||||
\(246\) | 5.51780 | + | 8.29904i | 0.351802 | + | 0.529128i | ||||
\(247\) | 6.20857 | − | 27.2015i | 0.395042 | − | 1.73079i | ||||
\(248\) | −51.0501 | − | 7.69456i | −3.24168 | − | 0.488605i | ||||
\(249\) | −23.7566 | + | 3.29843i | −1.50552 | + | 0.209030i | ||||
\(250\) | 28.5488 | − | 11.2046i | 1.80559 | − | 0.708641i | ||||
\(251\) | 4.46224 | + | 5.59547i | 0.281654 | + | 0.353183i | 0.902454 | − | 0.430786i | \(-0.141764\pi\) |
−0.620800 | + | 0.783969i | \(0.713192\pi\) | |||||||
\(252\) | −34.9188 | + | 7.21920i | −2.19968 | + | 0.454767i | ||||
\(253\) | 3.13228 | − | 3.92775i | 0.196925 | − | 0.246936i | ||||
\(254\) | 9.52325 | − | 30.8736i | 0.597542 | − | 1.93718i | ||||
\(255\) | 0.456221 | + | 2.11184i | 0.0285697 | + | 0.132249i | ||||
\(256\) | −27.5854 | + | 8.50896i | −1.72408 | + | 0.531810i | ||||
\(257\) | −5.94139 | + | 2.86122i | −0.370614 | + | 0.178478i | −0.609914 | − | 0.792467i | \(-0.708796\pi\) |
0.239301 | + | 0.970946i | \(0.423082\pi\) | |||||||
\(258\) | 3.86041 | − | 23.7343i | 0.240339 | − | 1.47764i | ||||
\(259\) | 8.43072 | + | 9.03620i | 0.523859 | + | 0.561482i | ||||
\(260\) | 39.4664 | − | 9.00795i | 2.44760 | − | 0.558649i | ||||
\(261\) | 10.0676 | + | 2.54579i | 0.623169 | + | 0.157580i | ||||
\(262\) | 5.85230 | + | 0.438570i | 0.361557 | + | 0.0270949i | ||||
\(263\) | 32.2230i | 1.98695i | 0.114030 | + | 0.993477i | \(0.463624\pi\) | ||||
−0.114030 | + | 0.993477i | \(0.536376\pi\) | |||||||
\(264\) | −2.43112 | − | 38.4399i | −0.149625 | − | 2.36581i | ||||
\(265\) | −5.82146 | − | 0.436258i | −0.357609 | − | 0.0267991i | ||||
\(266\) | 17.8360 | − | 37.2989i | 1.09360 | − | 2.28694i | ||||
\(267\) | −28.1475 | + | 3.90807i | −1.72260 | + | 0.239170i | ||||
\(268\) | 41.1091 | − | 28.0277i | 2.51114 | − | 1.71206i | ||||
\(269\) | 3.71174 | + | 1.14492i | 0.226309 | + | 0.0698070i | 0.405836 | − | 0.913946i | \(-0.366981\pi\) |
−0.179527 | + | 0.983753i | \(0.557457\pi\) | |||||||
\(270\) | 26.0666 | + | 2.87148i | 1.58636 | + | 0.174753i | ||||
\(271\) | 7.42340 | − | 0.556307i | 0.450940 | − | 0.0337933i | 0.152675 | − | 0.988276i | \(-0.451211\pi\) |
0.298265 | + | 0.954483i | \(0.403592\pi\) | |||||||
\(272\) | −0.338703 | − | 4.51968i | −0.0205369 | − | 0.274046i | ||||
\(273\) | 20.8474 | + | 0.185336i | 1.26174 | + | 0.0112171i | ||||
\(274\) | 3.35719 | − | 44.7986i | 0.202815 | − | 2.70638i | ||||
\(275\) | 3.77064i | 0.227378i | ||||||||
\(276\) | −6.18082 | − | 9.29624i | −0.372042 | − | 0.559568i | ||||
\(277\) | 15.7767 | − | 7.59766i | 0.947931 | − | 0.456499i | 0.104971 | − | 0.994475i | \(-0.466525\pi\) |
0.842960 | + | 0.537976i | \(0.180811\pi\) | |||||||
\(278\) | −10.4873 | + | 26.7212i | −0.628987 | + | 1.60263i | ||||
\(279\) | 18.7083 | + | 15.6454i | 1.12004 | + | 0.936668i | ||||
\(280\) | 33.2800 | − | 0.0914933i | 1.98886 | − | 0.00546777i | ||||
\(281\) | −2.23815 | − | 7.25590i | −0.133517 | − | 0.432851i | 0.863983 | − | 0.503521i | \(-0.167962\pi\) |
−0.997500 | + | 0.0706704i | \(0.977486\pi\) | |||||||
\(282\) | −6.06294 | − | 3.59517i | −0.361043 | − | 0.214089i | ||||
\(283\) | −3.73936 | − | 12.1227i | −0.222282 | − | 0.720621i | −0.996181 | − | 0.0873116i | \(-0.972172\pi\) |
0.773899 | − | 0.633309i | \(-0.218304\pi\) | |||||||
\(284\) | 36.1096 | + | 14.1720i | 2.14271 | + | 0.840953i | ||||
\(285\) | −14.4892 | + | 15.2557i | −0.858268 | + | 0.903667i | ||||
\(286\) | −6.04980 | + | 40.1378i | −0.357732 | + | 2.37340i | ||||
\(287\) | −0.906699 | − | 5.90535i | −0.0535207 | − | 0.348582i | ||||
\(288\) | −16.3926 | − | 4.14519i | −0.965943 | − | 0.244258i | ||||
\(289\) | 16.4179 | + | 2.47461i | 0.965761 | + | 0.145565i | ||||
\(290\) | −15.7396 | − | 7.57981i | −0.924263 | − | 0.445102i | ||||
\(291\) | 17.9641 | + | 1.55668i | 1.05308 | + | 0.0912542i | ||||
\(292\) | −60.8751 | − | 13.8943i | −3.56244 | − | 0.813104i | ||||
\(293\) | −8.53584 | + | 14.7845i | −0.498669 | + | 0.863721i | −0.999999 | − | 0.00153580i | \(-0.999511\pi\) |
0.501329 | + | 0.865256i | \(0.332844\pi\) | |||||||
\(294\) | 30.0757 | + | 7.05917i | 1.75405 | + | 0.411699i | ||||
\(295\) | 9.19032 | + | 15.9181i | 0.535081 | + | 0.926788i | ||||
\(296\) | 8.74364 | + | 28.3462i | 0.508214 | + | 1.64759i | ||||
\(297\) | −8.46199 | + | 16.1075i | −0.491015 | + | 0.934655i | ||||
\(298\) | 17.9498 | − | 12.2380i | 1.03980 | − | 0.708926i | ||||
\(299\) | 2.38461 | + | 6.07590i | 0.137906 | + | 0.351378i | ||||
\(300\) | 7.97728 | + | 2.56272i | 0.460568 | + | 0.147959i | ||||
\(301\) | −8.08783 | + | 11.9330i | −0.466175 | + | 0.687808i | ||||
\(302\) | −11.1657 | + | 4.38222i | −0.642514 | + | 0.252168i | ||||
\(303\) | 19.8132 | − | 5.85991i | 1.13824 | − | 0.336643i | ||||
\(304\) | 34.5074 | − | 27.5188i | 1.97914 | − | 1.57831i | ||||
\(305\) | −11.4478 | + | 12.3378i | −0.655499 | + | 0.706460i | ||||
\(306\) | −2.18912 | + | 4.28751i | −0.125144 | + | 0.245100i | ||||
\(307\) | −7.42433 | − | 1.69455i | −0.423729 | − | 0.0967134i | 0.00533868 | − | 0.999986i | \(-0.498301\pi\) |
−0.429068 | + | 0.903272i | \(0.641158\pi\) | |||||||
\(308\) | −15.0987 | + | 38.7841i | −0.860330 | + | 2.20993i | ||||
\(309\) | 1.71808 | + | 5.80910i | 0.0977384 | + | 0.330468i | ||||
\(310\) | −25.5804 | − | 32.0768i | −1.45287 | − | 1.82184i | ||||
\(311\) | 1.92399 | + | 1.31175i | 0.109099 | + | 0.0743827i | 0.616641 | − | 0.787245i | \(-0.288493\pi\) |
−0.507541 | + | 0.861627i | \(0.669446\pi\) | |||||||
\(312\) | 44.8308 | + | 22.2358i | 2.53804 | + | 1.25886i | ||||
\(313\) | 6.09527 | + | 3.51910i | 0.344525 | + | 0.198911i | 0.662271 | − | 0.749264i | \(-0.269593\pi\) |
−0.317746 | + | 0.948176i | \(0.602926\pi\) | |||||||
\(314\) | 25.7492 | − | 12.4002i | 1.45311 | − | 0.699782i | ||||
\(315\) | −13.4508 | − | 8.13849i | −0.757869 | − | 0.458552i | ||||
\(316\) | 39.9769 | + | 19.2519i | 2.24888 | + | 1.08300i | ||||
\(317\) | 1.19949 | + | 1.75934i | 0.0673703 | + | 0.0988141i | 0.858445 | − | 0.512905i | \(-0.171431\pi\) |
−0.791075 | + | 0.611719i | \(0.790478\pi\) | |||||||
\(318\) | −9.43151 | − | 8.95768i | −0.528893 | − | 0.502322i | ||||
\(319\) | 8.88523 | − | 8.24429i | 0.497478 | − | 0.461592i | ||||
\(320\) | −0.0578606 | − | 0.0278642i | −0.00323451 | − | 0.00155766i | ||||
\(321\) | −4.81007 | − | 34.6440i | −0.268472 | − | 1.93364i | ||||
\(322\) | 1.46781 | + | 9.55988i | 0.0817978 | + | 0.532751i | ||||
\(323\) | −1.67580 | − | 3.47983i | −0.0932439 | − | 0.193623i | ||||
\(324\) | 28.3264 | + | 28.8500i | 1.57369 | + | 1.60278i | ||||
\(325\) | −4.24262 | − | 2.44948i | −0.235338 | − | 0.135873i | ||||
\(326\) | −2.96650 | − | 6.16000i | −0.164299 | − | 0.341171i | ||||
\(327\) | −5.51205 | − | 25.5152i | −0.304817 | − | 1.41099i | ||||
\(328\) | 4.22703 | − | 13.7037i | 0.233399 | − | 0.756660i | ||||
\(329\) | 2.39000 | + | 3.48486i | 0.131765 | + | 0.192127i | ||||
\(330\) | 19.3618 | − | 23.7075i | 1.06583 | − | 1.30505i | ||||
\(331\) | 1.25678 | − | 16.7705i | 0.0690788 | − | 0.921792i | −0.849763 | − | 0.527165i | \(-0.823255\pi\) |
0.918841 | − | 0.394627i | \(-0.129126\pi\) | |||||||
\(332\) | 45.6019 | + | 42.3123i | 2.50273 | + | 2.32219i | ||||
\(333\) | 3.43536 | − | 13.5855i | 0.188256 | − | 0.744480i | ||||
\(334\) | −19.8272 | − | 21.3687i | −1.08490 | − | 1.16924i | ||||
\(335\) | 21.6918 | + | 3.26951i | 1.18515 | + | 0.178633i | ||||
\(336\) | 25.6008 | + | 20.7909i | 1.39664 | + | 1.13424i | ||||
\(337\) | −22.6398 | + | 3.41240i | −1.23327 | + | 0.185885i | −0.733146 | − | 0.680071i | \(-0.761949\pi\) |
−0.500120 | + | 0.865956i | \(0.666711\pi\) | |||||||
\(338\) | −15.3343 | − | 12.2287i | −0.834077 | − | 0.665154i | ||||
\(339\) | 21.6137 | − | 16.8286i | 1.17390 | − | 0.914003i | ||||
\(340\) | 3.49391 | − | 4.38122i | 0.189484 | − | 0.237605i | ||||
\(341\) | 27.2014 | − | 8.39052i | 1.47304 | − | 0.454372i | ||||
\(342\) | −46.5062 | + | 5.90618i | −2.51477 | + | 0.319370i | ||||
\(343\) | −14.5745 | − | 11.4274i | −0.786947 | − | 0.617020i | ||||
\(344\) | −29.9663 | + | 17.3010i | −1.61567 | + | 0.932809i | ||||
\(345\) | 0.790180 | − | 4.85814i | 0.0425419 | − | 0.261554i | ||||
\(346\) | 2.15266 | − | 14.2820i | 0.115728 | − | 0.767803i | ||||
\(347\) | 18.1087 | − | 1.35706i | 0.972127 | − | 0.0728509i | 0.420812 | − | 0.907148i | \(-0.361745\pi\) |
0.551315 | + | 0.834297i | \(0.314126\pi\) | |||||||
\(348\) | −11.4030 | − | 24.4011i | −0.611266 | − | 1.30804i | ||||
\(349\) | −23.5579 | − | 9.24580i | −1.26103 | − | 0.494916i | −0.361741 | − | 0.932279i | \(-0.617817\pi\) |
−0.899285 | + | 0.437363i | \(0.855913\pi\) | |||||||
\(350\) | −5.33501 | − | 4.92294i | −0.285168 | − | 0.263142i | ||||
\(351\) | −12.6267 | − | 19.9850i | −0.673963 | − | 1.06672i | ||||
\(352\) | −14.4674 | + | 13.4238i | −0.771116 | + | 0.715491i | ||||
\(353\) | 7.30884 | + | 9.16499i | 0.389010 | + | 0.487803i | 0.937319 | − | 0.348473i | \(-0.113300\pi\) |
−0.548309 | + | 0.836276i | \(0.684728\pi\) | |||||||
\(354\) | −6.57492 | + | 40.4236i | −0.349453 | + | 2.14849i | ||||
\(355\) | 7.42074 | + | 15.4093i | 0.393852 | + | 0.817843i | ||||
\(356\) | 54.0303 | + | 50.1327i | 2.86360 | + | 2.65703i | ||||
\(357\) | 2.27227 | − | 1.77926i | 0.120261 | − | 0.0941684i | ||||
\(358\) | −1.50247 | + | 1.39409i | −0.0794082 | + | 0.0736801i | ||||
\(359\) | −2.61555 | − | 1.02653i | −0.138043 | − | 0.0541780i | 0.295314 | − | 0.955400i | \(-0.404576\pi\) |
−0.433357 | + | 0.901222i | \(0.642671\pi\) | |||||||
\(360\) | −20.5261 | − | 31.6654i | −1.08182 | − | 1.66891i | ||||
\(361\) | 9.30590 | − | 16.1183i | 0.489784 | − | 0.848331i | ||||
\(362\) | −18.9879 | + | 32.8881i | −0.997984 | + | 1.72856i | ||||
\(363\) | 1.07033 | + | 1.90472i | 0.0561775 | + | 0.0999717i | ||||
\(364\) | −33.8304 | − | 42.1836i | −1.77320 | − | 2.21102i | ||||
\(365\) | −15.5083 | − | 22.7465i | −0.811741 | − | 1.19061i | ||||
\(366\) | −37.1450 | + | 5.15731i | −1.94160 | + | 0.269577i | ||||
\(367\) | 3.67956 | − | 0.839835i | 0.192071 | − | 0.0438390i | −0.125403 | − | 0.992106i | \(-0.540022\pi\) |
0.317474 | + | 0.948267i | \(0.397165\pi\) | |||||||
\(368\) | −3.04340 | + | 9.86647i | −0.158648 | + | 0.514325i | ||||
\(369\) | −5.07197 | + | 4.49099i | −0.264036 | + | 0.233792i | ||||
\(370\) | −10.2284 | + | 21.2395i | −0.531749 | + | 1.10419i | ||||
\(371\) | 2.86884 | + | 7.25101i | 0.148943 | + | 0.376453i | ||||
\(372\) | 0.736215 | − | 63.2507i | 0.0381710 | − | 3.27940i | ||||
\(373\) | 36.6423 | 1.89727 | 0.948633 | − | 0.316379i | \(-0.102467\pi\) | ||||
0.948633 | + | 0.316379i | \(0.102467\pi\) | |||||||
\(374\) | 2.80950 | + | 4.86619i | 0.145276 | + | 0.251625i | ||||
\(375\) | 10.2130 | + | 18.1747i | 0.527395 | + | 0.938535i | ||||
\(376\) | 1.51173 | + | 10.0297i | 0.0779616 | + | 0.517241i | ||||
\(377\) | 3.50424 | + | 15.3531i | 0.180477 | + | 0.790723i | ||||
\(378\) | −11.7423 | − | 33.0027i | −0.603959 | − | 1.69748i | ||||
\(379\) | −2.70014 | + | 11.8301i | −0.138697 | + | 0.607671i | 0.857025 | + | 0.515274i | \(0.172310\pi\) |
−0.995722 | + | 0.0923969i | \(0.970547\pi\) | |||||||
\(380\) | 54.4179 | + | 4.07806i | 2.79158 | + | 0.209200i | ||||
\(381\) | 21.6776 | + | 3.52589i | 1.11058 | + | 0.180637i | ||||
\(382\) | −16.4788 | + | 41.9874i | −0.843131 | + | 2.14826i | ||||
\(383\) | −3.32954 | − | 14.5877i | −0.170132 | − | 0.745396i | −0.985944 | − | 0.167078i | \(-0.946567\pi\) |
0.815812 | − | 0.578317i | \(-0.196290\pi\) | |||||||
\(384\) | −8.32656 | − | 17.8179i | −0.424913 | − | 0.909264i | ||||
\(385\) | −16.5109 | + | 8.00723i | −0.841474 | + | 0.408086i | ||||
\(386\) | −5.20555 | + | 4.15129i | −0.264956 | + | 0.211295i | ||||
\(387\) | 16.3414 | + | 0.380466i | 0.830678 | + | 0.0193402i | ||||
\(388\) | −26.3453 | − | 38.6414i | −1.33748 | − | 1.96172i | ||||
\(389\) | 13.2737 | + | 10.5854i | 0.673004 | + | 0.536703i | 0.899287 | − | 0.437359i | \(-0.144086\pi\) |
−0.226283 | + | 0.974062i | \(0.572657\pi\) | |||||||
\(390\) | 14.0973 | + | 37.1862i | 0.713843 | + | 1.88299i | ||||
\(391\) | 0.782488 | + | 0.451770i | 0.0395721 | + | 0.0228470i | ||||
\(392\) | −19.5080 | − | 39.9455i | −0.985303 | − | 2.01755i | ||||
\(393\) | 0.251802 | + | 3.98139i | 0.0127017 | + | 0.200834i | ||||
\(394\) | −39.3682 | − | 36.5284i | −1.98334 | − | 1.84027i | ||||
\(395\) | 7.14727 | + | 18.2109i | 0.359618 | + | 0.916292i | ||||
\(396\) | 46.2408 | − | 9.42747i | 2.32369 | − | 0.473748i | ||||
\(397\) | 0.0401963 | − | 0.266685i | 0.00201739 | − | 0.0133845i | −0.987799 | − | 0.155731i | \(-0.950227\pi\) |
0.989817 | + | 0.142347i | \(0.0454648\pi\) | |||||||
\(398\) | −0.372631 | + | 0.949449i | −0.0186783 | + | 0.0475916i | ||||
\(399\) | 26.7809 | + | 8.52228i | 1.34072 | + | 0.426648i | ||||
\(400\) | −2.83126 | − | 7.21394i | −0.141563 | − | 0.360697i | ||||
\(401\) | 4.55824 | − | 1.04039i | 0.227628 | − | 0.0519545i | −0.107186 | − | 0.994239i | \(-0.534184\pi\) |
0.334813 | + | 0.942285i | \(0.391327\pi\) | |||||||
\(402\) | 32.8265 | + | 36.2150i | 1.63724 | + | 1.80624i | ||||
\(403\) | −8.22975 | + | 36.0569i | −0.409953 | + | 1.79612i | ||||
\(404\) | −44.2778 | − | 30.1881i | −2.20291 | − | 1.50192i | ||||
\(405\) | 0.503409 | + | 17.8192i | 0.0250146 | + | 0.885443i | ||||
\(406\) | 0.0641533 | + | 23.3353i | 0.00318387 | + | 1.15811i | ||||
\(407\) | −11.1251 | − | 11.9900i | −0.551449 | − | 0.594321i | ||||
\(408\) | 6.77111 | − | 1.46276i | 0.335220 | − | 0.0724175i | ||||
\(409\) | 10.6979 | − | 15.6910i | 0.528978 | − | 0.775868i | −0.465016 | − | 0.885302i | \(-0.653951\pi\) |
0.993994 | + | 0.109434i | \(0.0349038\pi\) | |||||||
\(410\) | 9.86979 | − | 5.69832i | 0.487434 | − | 0.281420i | ||||
\(411\) | 30.4770 | − | 1.92751i | 1.50332 | − | 0.0950771i | ||||
\(412\) | 8.85094 | − | 12.9819i | 0.436055 | − | 0.639575i | ||||
\(413\) | 13.7749 | − | 20.3239i | 0.677820 | − | 1.00008i | ||||
\(414\) | 8.21076 | − | 7.27025i | 0.403537 | − | 0.357313i | ||||
\(415\) | 2.04968 | + | 27.3510i | 0.100615 | + | 1.34261i | ||||
\(416\) | −5.70579 | − | 24.9987i | −0.279749 | − | 1.22566i | ||||
\(417\) | −18.9719 | − | 4.56317i | −0.929060 | − | 0.223459i | ||||
\(418\) | −23.7415 | + | 49.2997i | −1.16123 | + | 2.41133i | ||||
\(419\) | 12.2359 | − | 8.34227i | 0.597761 | − | 0.407546i | −0.226292 | − | 0.974060i | \(-0.572660\pi\) |
0.824053 | + | 0.566513i | \(0.191708\pi\) | |||||||
\(420\) | 5.71868 | + | 40.3731i | 0.279043 | + | 1.97001i | ||||
\(421\) | −16.5518 | − | 11.2848i | −0.806684 | − | 0.549988i | 0.0882959 | − | 0.996094i | \(-0.471858\pi\) |
−0.894980 | + | 0.446106i | \(0.852810\pi\) | |||||||
\(422\) | 27.2583 | − | 15.7376i | 1.32692 | − | 0.766095i | ||||
\(423\) | 1.85386 | − | 4.41830i | 0.0901379 | − | 0.214825i | ||||
\(424\) | −1.39876 | + | 18.6651i | −0.0679296 | + | 0.906458i | ||||
\(425\) | −0.670584 | + | 0.101074i | −0.0325281 | + | 0.00490282i | ||||
\(426\) | −8.91170 | + | 37.0515i | −0.431773 | + | 1.79515i | ||||
\(427\) | 21.5012 | + | 6.56757i | 1.04052 | + | 0.317827i | ||||
\(428\) | −61.7036 | + | 66.5007i | −2.98256 | + | 3.21443i | ||||
\(429\) | −27.5906 | − | 0.321144i | −1.33208 | − | 0.0155050i | ||||
\(430\) | −26.8088 | − | 6.11894i | −1.29284 | − | 0.295082i | ||||
\(431\) | −1.72064 | − | 11.4157i | −0.0828805 | − | 0.549876i | −0.991280 | − | 0.131773i | \(-0.957933\pi\) |
0.908399 | − | 0.418103i | \(-0.137305\pi\) | |||||||
\(432\) | 4.09470 | − | 37.1706i | 0.197006 | − | 1.78837i | ||||
\(433\) | −18.4921 | − | 14.7469i | −0.888672 | − | 0.708692i | 0.0686732 | − | 0.997639i | \(-0.478123\pi\) |
−0.957345 | + | 0.288947i | \(0.906695\pi\) | |||||||
\(434\) | −23.6425 | + | 49.4414i | −1.13488 | + | 2.37326i | ||||
\(435\) | 3.63213 | − | 11.3062i | 0.174147 | − | 0.542089i | ||||
\(436\) | −42.2133 | + | 52.9338i | −2.02165 | + | 2.53507i | ||||
\(437\) | 0.657534 | + | 8.77418i | 0.0314541 | + | 0.419726i | ||||
\(438\) | 5.29567 | − | 61.1122i | 0.253037 | − | 2.92005i | ||||
\(439\) | 12.2371 | − | 13.1885i | 0.584045 | − | 0.629451i | −0.370029 | − | 0.929020i | \(-0.620652\pi\) |
0.954075 | + | 0.299569i | \(0.0968429\pi\) | |||||||
\(440\) | −44.0460 | −2.09981 | ||||||||
\(441\) | −1.94140 | + | 20.9101i | −0.0924475 | + | 0.995718i | ||||
\(442\) | −7.30041 | −0.347245 | ||||||||
\(443\) | −15.2204 | + | 16.4037i | −0.723145 | + | 0.779365i | −0.982469 | − | 0.186425i | \(-0.940310\pi\) |
0.259324 | + | 0.965790i | \(0.416500\pi\) | |||||||
\(444\) | −32.9275 | + | 15.3875i | −1.56267 | + | 0.730260i | ||||
\(445\) | 2.42851 | + | 32.4062i | 0.115122 | + | 1.53620i | ||||
\(446\) | −12.1664 | + | 15.2562i | −0.576095 | + | 0.722400i | ||||
\(447\) | 9.91790 | + | 10.9417i | 0.469101 | + | 0.517523i | ||||
\(448\) | 0.000235834 | 0.0857831i | 1.11421e−5 | 0.00405287i | ||||||
\(449\) | −10.6523 | − | 8.49494i | −0.502714 | − | 0.400901i | 0.339032 | − | 0.940775i | \(-0.389900\pi\) |
−0.841746 | + | 0.539874i | \(0.818472\pi\) | |||||||
\(450\) | −1.41593 | + | 8.10860i | −0.0667476 | + | 0.382243i | ||||
\(451\) | 1.17852 | + | 7.81895i | 0.0554942 | + | 0.368180i | ||||
\(452\) | −69.2663 | − | 15.8096i | −3.25801 | − | 0.743620i | ||||
\(453\) | −3.99438 | − | 7.10827i | −0.187672 | − | 0.333975i | ||||
\(454\) | 23.3706 | − | 25.1875i | 1.09684 | − | 1.18211i | ||||
\(455\) | 1.71628 | − | 23.7793i | 0.0804606 | − | 1.11479i | ||||
\(456\) | 48.9136 | + | 46.4563i | 2.29059 | + | 2.17551i | ||||
\(457\) | 21.9078 | − | 3.30207i | 1.02480 | − | 0.154464i | 0.384931 | − | 0.922945i | \(-0.374225\pi\) |
0.639873 | + | 0.768481i | \(0.278987\pi\) | |||||||
\(458\) | 4.81449 | − | 64.2449i | 0.224966 | − | 3.00197i | ||||
\(459\) | −3.09145 | − | 1.07314i | −0.144297 | − | 0.0500898i | ||||
\(460\) | −11.0557 | + | 6.38303i | −0.515476 | + | 0.297610i | ||||
\(461\) | −0.983466 | − | 0.670516i | −0.0458046 | − | 0.0312290i | 0.540201 | − | 0.841536i | \(-0.318348\pi\) |
−0.586006 | + | 0.810307i | \(0.699300\pi\) | |||||||
\(462\) | −39.7791 | − | 9.45215i | −1.85069 | − | 0.439754i | ||||
\(463\) | 0.0583096 | − | 0.0397548i | 0.00270988 | − | 0.00184756i | −0.561964 | − | 0.827161i | \(-0.689954\pi\) |
0.564674 | + | 0.825314i | \(0.309002\pi\) | |||||||
\(464\) | −10.8087 | + | 22.4446i | −0.501783 | + | 1.04196i | ||||
\(465\) | 19.2062 | − | 20.2221i | 0.890664 | − | 0.937777i | ||||
\(466\) | 3.80476 | + | 16.6697i | 0.176252 | + | 0.772210i | ||||
\(467\) | 3.00550 | + | 40.1055i | 0.139078 | + | 1.85586i | 0.434721 | + | 0.900565i | \(0.356847\pi\) |
−0.295644 | + | 0.955298i | \(0.595534\pi\) | |||||||
\(468\) | −19.4314 | + | 58.1531i | −0.898215 | + | 2.68813i | ||||
\(469\) | −8.71400 | − | 27.9768i | −0.402375 | − | 1.29185i | ||||
\(470\) | −4.54071 | + | 6.66000i | −0.209447 | + | 0.307203i | ||||
\(471\) | 10.7562 | + | 16.1779i | 0.495621 | + | 0.745438i | ||||
\(472\) | 51.0376 | − | 29.4666i | 2.34919 | − | 1.35631i | ||||
\(473\) | 10.7476 | − | 15.7638i | 0.494173 | − | 0.724819i | ||||
\(474\) | −13.3323 | + | 41.5009i | −0.612371 | + | 1.90620i | ||||
\(475\) | −4.49186 | − | 4.84107i | −0.206101 | − | 0.222124i | ||||
\(476\) | −7.30223 | − | 1.64558i | −0.334697 | − | 0.0754250i | ||||
\(477\) | 5.14957 | − | 7.18768i | 0.235783 | − | 0.329101i | ||||
\(478\) | 51.8254 | + | 35.3340i | 2.37044 | + | 1.61614i | ||||
\(479\) | −0.880262 | + | 3.85668i | −0.0402202 | + | 0.176216i | −0.991049 | − | 0.133502i | \(-0.957378\pi\) |
0.950828 | + | 0.309718i | \(0.100235\pi\) | |||||||
\(480\) | −5.91403 | + | 18.4093i | −0.269937 | + | 0.840266i | ||||
\(481\) | 20.7178 | − | 4.72871i | 0.944652 | − | 0.215611i | ||||
\(482\) | 5.78230 | + | 14.7331i | 0.263376 | + | 0.671072i | ||||
\(483\) | −6.29950 | + | 1.88198i | −0.286637 | + | 0.0856328i | ||||
\(484\) | 2.07031 | − | 5.27506i | 0.0941050 | − | 0.239776i | ||||
\(485\) | 3.07325 | − | 20.3897i | 0.139549 | − | 0.925849i | ||||
\(486\) | −24.2458 | + | 31.4610i | −1.09981 | + | 1.42710i | ||||
\(487\) | 15.1725 | + | 38.6589i | 0.687531 | + | 1.75180i | 0.658924 | + | 0.752209i | \(0.271012\pi\) |
0.0286064 | + | 0.999591i | \(0.490893\pi\) | |||||||
\(488\) | 39.5582 | + | 36.7046i | 1.79071 | + | 1.66154i | ||||
\(489\) | 3.87024 | − | 2.57322i | 0.175018 | − | 0.116365i | ||||
\(490\) | 10.2273 | − | 33.8152i | 0.462024 | − | 1.52762i | ||||
\(491\) | 6.41752 | + | 3.70516i | 0.289619 | + | 0.167211i | 0.637770 | − | 0.770227i | \(-0.279857\pi\) |
−0.348151 | + | 0.937438i | \(0.613190\pi\) | |||||||
\(492\) | 17.3430 | + | 2.82085i | 0.781882 | + | 0.127174i | ||||
\(493\) | 1.70437 | + | 1.35919i | 0.0767608 | + | 0.0612147i | ||||
\(494\) | −40.0478 | − | 58.7393i | −1.80183 | − | 2.64281i | ||||
\(495\) | 17.7724 | + | 10.8201i | 0.798810 | + | 0.486329i | ||||
\(496\) | −45.7412 | + | 36.4774i | −2.05384 | + | 1.63788i | ||||
\(497\) | 14.1949 | − | 17.9006i | 0.636728 | − | 0.802950i | ||||
\(498\) | −35.0115 | + | 50.0898i | −1.56890 | + | 2.24458i | ||||
\(499\) | 5.50651 | + | 24.1256i | 0.246505 | + | 1.08001i | 0.934966 | + | 0.354736i | \(0.115429\pi\) |
−0.688461 | + | 0.725273i | \(0.741713\pi\) | |||||||
\(500\) | 19.7547 | − | 50.3342i | 0.883458 | − | 2.25102i | ||||
\(501\) | 12.5341 | − | 15.3474i | 0.559984 | − | 0.685672i | ||||
\(502\) | 18.1848 | + | 1.36277i | 0.811629 | + | 0.0608232i | ||||
\(503\) | 0.00885664 | − | 0.0388035i | 0.000394898 | − | 0.00173016i | −0.974730 | − | 0.223386i | \(-0.928289\pi\) |
0.975125 | + | 0.221656i | \(0.0711461\pi\) | |||||||
\(504\) | −26.0941 | + | 43.1269i | −1.16232 | + | 1.92102i | ||||
\(505\) | −5.25767 | − | 23.0354i | −0.233963 | − | 1.02506i | ||||
\(506\) | −1.90784 | − | 12.6577i | −0.0848140 | − | 0.562704i | ||||
\(507\) | 6.80016 | − | 11.4679i | 0.302006 | − | 0.509306i | ||||
\(508\) | −28.4819 | − | 49.3321i | −1.26368 | − | 2.18876i | ||||
\(509\) | 1.16489 | 0.0516329 | 0.0258165 | − | 0.999667i | \(-0.491781\pi\) | ||||
0.0258165 | + | 0.999667i | \(0.491781\pi\) | |||||||
\(510\) | 4.73523 | + | 2.80787i | 0.209679 | + | 0.124335i | ||||
\(511\) | −18.2993 | + | 31.8975i | −0.809513 | + | 1.41106i | ||||
\(512\) | −22.0612 | + | 45.8105i | −0.974975 | + | 2.02456i | ||||
\(513\) | −8.32423 | − | 30.7608i | −0.367524 | − | 1.35812i | ||||
\(514\) | −4.95270 | + | 16.0563i | −0.218454 | + | 0.708211i | ||||
\(515\) | 6.75380 | − | 1.54151i | 0.297608 | − | 0.0679271i | ||||
\(516\) | −26.0457 | − | 33.4517i | −1.14660 | − | 1.47263i | ||||
\(517\) | −3.15045 | − | 4.62087i | −0.138557 | − | 0.203225i | ||||
\(518\) | 31.4893 | − | 0.0865702i | 1.38356 | − | 0.00380367i | ||||
\(519\) | 9.81737 | + | 0.114271i | 0.430935 | + | 0.00501592i | ||||
\(520\) | 28.6131 | − | 49.5594i | 1.25477 | − | 2.17332i | ||||
\(521\) | −10.4855 | + | 18.1615i | −0.459379 | + | 0.795669i | −0.998928 | − | 0.0462857i | \(-0.985262\pi\) |
0.539549 | + | 0.841954i | \(0.318595\pi\) | |||||||
\(522\) | 22.2032 | − | 14.3925i | 0.971806 | − | 0.629941i | ||||
\(523\) | 15.0200 | + | 5.89492i | 0.656779 | + | 0.257767i | 0.670242 | − | 0.742143i | \(-0.266190\pi\) |
−0.0134630 | + | 0.999909i | \(0.504286\pi\) | |||||||
\(524\) | 7.58495 | − | 7.03780i | 0.331350 | − | 0.307448i | ||||
\(525\) | 2.81591 | − | 4.05231i | 0.122896 | − | 0.176857i | ||||
\(526\) | 60.1870 | + | 55.8454i | 2.62428 | + | 2.43497i | ||||
\(527\) | 2.22135 | + | 4.61268i | 0.0967634 | + | 0.200931i | ||||
\(528\) | −33.8066 | − | 27.6097i | −1.47125 | − | 1.20156i | ||||
\(529\) | 13.0569 | + | 16.3728i | 0.567691 | + | 0.711862i | ||||
\(530\) | −10.9040 | + | 10.1174i | −0.473638 | + | 0.439472i | ||||
\(531\) | −27.8321 | − | 0.647998i | −1.20781 | − | 0.0281207i | ||||
\(532\) | −26.8174 | − | 67.7811i | −1.16268 | − | 2.93868i | ||||
\(533\) | −9.56325 | − | 3.75330i | −0.414231 | − | 0.162574i | ||||
\(534\) | −41.4826 | + | 59.3477i | −1.79513 | + | 2.56823i | ||||
\(535\) | −39.8857 | + | 2.98902i | −1.72441 | + | 0.129227i | ||||
\(536\) | 10.4829 | − | 69.5496i | 0.452793 | − | 3.00408i | ||||
\(537\) | −1.07911 | − | 0.881300i | −0.0465669 | − | 0.0380309i | ||||
\(538\) | 8.57129 | − | 4.94864i | 0.369535 | − | 0.213351i | ||||
\(539\) | 19.2475 | + | 15.1770i | 0.829050 | + | 0.653720i | ||||
\(540\) | 34.9704 | − | 30.2459i | 1.50489 | − | 1.30158i | ||||
\(541\) | −20.3803 | + | 6.28649i | −0.876217 | + | 0.270277i | −0.700059 | − | 0.714085i | \(-0.746843\pi\) |
−0.176158 | + | 0.984362i | \(0.556367\pi\) | |||||||
\(542\) | 11.8263 | − | 14.8298i | 0.507985 | − | 0.636993i | ||||
\(543\) | −23.9188 | − | 9.71020i | −1.02645 | − | 0.416704i | ||||
\(544\) | −2.77514 | − | 2.21310i | −0.118983 | − | 0.0948860i | ||||
\(545\) | −29.5178 | + | 4.44909i | −1.26440 | + | 0.190578i | ||||
\(546\) | 36.4766 | − | 38.6181i | 1.56105 | − | 1.65270i | ||||
\(547\) | 14.8321 | + | 2.23557i | 0.634173 | + | 0.0955862i | 0.458258 | − | 0.888819i | \(-0.348474\pi\) |
0.175915 | + | 0.984405i | \(0.443712\pi\) | |||||||
\(548\) | −53.8734 | − | 58.0617i | −2.30136 | − | 2.48027i | ||||
\(549\) | −6.94489 | − | 24.5278i | −0.296401 | − | 1.04682i | ||||
\(550\) | 7.04291 | + | 6.53486i | 0.300311 | + | 0.278647i | ||||
\(551\) | −1.58643 | + | 21.1695i | −0.0675843 | + | 0.901849i | ||||
\(552\) | −15.5765 | − | 2.53352i | −0.662979 | − | 0.107834i | ||||
\(553\) | 17.7215 | − | 19.2049i | 0.753595 | − | 0.816674i | ||||
\(554\) | 13.1513 | − | 42.6356i | 0.558747 | − | 1.81141i | ||||
\(555\) | −15.2569 | − | 4.90130i | −0.647617 | − | 0.208048i | ||||
\(556\) | 21.9591 | + | 45.5985i | 0.931272 | + | 1.93381i | ||||
\(557\) | 15.7673 | + | 9.10324i | 0.668081 | + | 0.385717i | 0.795349 | − | 0.606152i | \(-0.207288\pi\) |
−0.127268 | + | 0.991868i | \(0.540621\pi\) | |||||||
\(558\) | 61.6462 | − | 7.82892i | 2.60969 | − | 0.331425i | ||||
\(559\) | 10.7552 | + | 22.3333i | 0.454895 | + | 0.944598i | ||||
\(560\) | 25.5761 | − | 27.7169i | 1.08079 | − | 1.17125i | ||||
\(561\) | −3.01379 | + | 2.34656i | −0.127243 | + | 0.0990718i | ||||
\(562\) | −17.4317 | − | 8.39466i | −0.735311 | − | 0.354107i | ||||
\(563\) | −2.26579 | + | 2.10234i | −0.0954915 | + | 0.0886032i | −0.726474 | − | 0.687194i | \(-0.758842\pi\) |
0.630983 | + | 0.775797i | \(0.282652\pi\) | |||||||
\(564\) | −11.9173 | + | 3.52462i | −0.501807 | + | 0.148413i | ||||
\(565\) | −17.6460 | − | 25.8819i | −0.742373 | − | 1.08886i | ||||
\(566\) | −29.1238 | − | 14.0253i | −1.22416 | − | 0.589527i | ||||
\(567\) | 21.1232 | − | 10.9914i | 0.887091 | − | 0.461594i | ||||
\(568\) | 49.4063 | − | 23.7928i | 2.07304 | − | 0.998325i | ||||
\(569\) | 33.9650 | + | 19.6097i | 1.42389 | + | 0.822080i | 0.996628 | − | 0.0820498i | \(-0.0261467\pi\) |
0.427257 | + | 0.904130i | \(0.359480\pi\) | |||||||
\(570\) | 3.38378 | + | 53.5029i | 0.141731 | + | 2.24099i | ||||
\(571\) | 6.49830 | + | 4.43047i | 0.271945 | + | 0.185409i | 0.691612 | − | 0.722269i | \(-0.256901\pi\) |
−0.419667 | + | 0.907678i | \(0.637853\pi\) | |||||||
\(572\) | 44.6206 | + | 55.9525i | 1.86568 | + | 2.33949i | ||||
\(573\) | −29.8109 | − | 7.17017i | −1.24537 | − | 0.299538i | ||||
\(574\) | −12.6016 | − | 8.54095i | −0.525979 | − | 0.356492i | ||||
\(575\) | 1.50618 | + | 0.343777i | 0.0628122 | + | 0.0143365i | ||||
\(576\) | 0.0816212 | − | 0.0529082i | 0.00340088 | − | 0.00220451i | ||||
\(577\) | −15.7045 | + | 16.9254i | −0.653785 | + | 0.704613i | −0.969734 | − | 0.244163i | \(-0.921487\pi\) |
0.315949 | + | 0.948776i | \(0.397677\pi\) | |||||||
\(578\) | 33.0759 | − | 26.3772i | 1.37578 | − | 1.09715i | ||||
\(579\) | −3.28172 | − | 3.11685i | −0.136384 | − | 0.129532i | ||||
\(580\) | −28.6715 | + | 11.2527i | −1.19052 | + | 0.467245i | ||||
\(581\) | 31.6781 | − | 18.4057i | 1.31423 | − | 0.763595i | ||||
\(582\) | 34.0411 | − | 30.8560i | 1.41105 | − | 1.27902i | ||||
\(583\) | −3.77049 | − | 9.60705i | −0.156158 | − | 0.397883i | ||||
\(584\) | −72.9311 | + | 49.7236i | −3.01791 | + | 2.05758i | ||||
\(585\) | −23.7198 | + | 12.9681i | −0.980693 | + | 0.536163i | ||||
\(586\) | 12.8215 | + | 41.5664i | 0.529653 | + | 1.71709i | ||||
\(587\) | 6.16359 | + | 10.6757i | 0.254399 | + | 0.440631i | 0.964732 | − | 0.263234i | \(-0.0847892\pi\) |
−0.710333 | + | 0.703865i | \(0.751456\pi\) | |||||||
\(588\) | 45.1906 | − | 30.4056i | 1.86363 | − | 1.25391i | ||||
\(589\) | −24.9281 | + | 43.1767i | −1.02714 | + | 1.77907i | ||||
\(590\) | 45.6599 | + | 10.4216i | 1.87979 | + | 0.429050i | ||||
\(591\) | 20.9145 | − | 29.9216i | 0.860307 | − | 1.23081i | ||||
\(592\) | 30.2873 | + | 14.5856i | 1.24480 | + | 0.599464i | ||||
\(593\) | −5.10735 | − | 0.769810i | −0.209734 | − | 0.0316123i | 0.0433348 | − | 0.999061i | \(-0.486202\pi\) |
−0.253069 | + | 0.967448i | \(0.581440\pi\) | |||||||
\(594\) | 15.4207 | + | 43.7214i | 0.632720 | + | 1.79391i | ||||
\(595\) | −1.86662 | − | 2.72172i | −0.0765239 | − | 0.111580i | ||||
\(596\) | 5.70872 | − | 37.8749i | 0.233838 | − | 1.55141i | ||||
\(597\) | −0.674104 | − | 0.162137i | −0.0275893 | − | 0.00663583i | ||||
\(598\) | 15.4815 | + | 6.07603i | 0.633085 | + | 0.248468i | ||||
\(599\) | −1.44877 | − | 4.69680i | −0.0591952 | − | 0.191906i | 0.921145 | − | 0.389219i | \(-0.127255\pi\) |
−0.980341 | + | 0.197312i | \(0.936779\pi\) | |||||||
\(600\) | 10.3260 | − | 5.80254i | 0.421558 | − | 0.236888i | ||||
\(601\) | −2.43233 | − | 7.88543i | −0.0992169 | − | 0.321653i | 0.892333 | − | 0.451377i | \(-0.149067\pi\) |
−0.991550 | + | 0.129724i | \(0.958591\pi\) | |||||||
\(602\) | 8.27189 | + | 35.7877i | 0.337137 | + | 1.45860i | ||||
\(603\) | −21.3150 | + | 25.4878i | −0.868014 | + | 1.03794i | ||||
\(604\) | −7.72625 | + | 19.6862i | −0.314377 | + | 0.801018i | ||||
\(605\) | 2.25107 | − | 1.08406i | 0.0915189 | − | 0.0440732i | ||||
\(606\) | 23.3928 | − | 47.1635i | 0.950268 | − | 1.91588i | ||||
\(607\) | 14.9473i | 0.606692i | 0.952881 | + | 0.303346i | \(0.0981038\pi\) | ||||
−0.952881 | + | 0.303346i | \(0.901896\pi\) | |||||||
\(608\) | 2.58311 | − | 34.4692i | 0.104759 | − | 1.39791i | ||||
\(609\) | −15.7058 | + | 2.22466i | −0.636431 | + | 0.0901477i | ||||
\(610\) | 3.20480 | + | 42.7650i | 0.129758 | + | 1.73151i | ||||
\(611\) | 7.24587 | − | 0.543003i | 0.293136 | − | 0.0219675i | ||||
\(612\) | 2.91612 | + | 7.97092i | 0.117877 | + | 0.322205i | ||||
\(613\) | −14.4157 | − | 4.44664i | −0.582243 | − | 0.179598i | −0.0103785 | − | 0.999946i | \(-0.503304\pi\) |
−0.571865 | + | 0.820348i | \(0.693780\pi\) | |||||||
\(614\) | −16.0322 | + | 10.9306i | −0.647006 | + | 0.441121i | ||||
\(615\) | 4.75938 | + | 6.11269i | 0.191917 | + | 0.246487i | ||||
\(616\) | 25.6733 | + | 52.9383i | 1.03441 | + | 2.13294i | ||||
\(617\) | −0.0883203 | − | 0.00661869i | −0.00355564 | − | 0.000266458i | 0.0729522 | − | 0.997335i | \(-0.476758\pi\) |
−0.0765078 | + | 0.997069i | \(0.524377\pi\) | |||||||
\(618\) | 13.8280 | + | 6.85861i | 0.556243 | + | 0.275894i | ||||
\(619\) | 7.66281i | 0.307994i | 0.988071 | + | 0.153997i | \(0.0492147\pi\) | ||||
−0.988071 | + | 0.153997i | \(0.950785\pi\) | |||||||
\(620\) | −72.1335 | − | 5.40566i | −2.89695 | − | 0.217096i | ||||
\(621\) | 5.66267 | + | 4.84870i | 0.227235 | + | 0.194572i | ||||
\(622\) | 5.78457 | − | 1.32029i | 0.231940 | − | 0.0529389i | ||||
\(623\) | 37.5330 | − | 21.8075i | 1.50373 | − | 0.873698i | ||||
\(624\) | 53.0271 | − | 20.1025i | 2.12278 | − | 0.804746i | ||||
\(625\) | 16.6286 | − | 8.00790i | 0.665143 | − | 0.320316i | ||||
\(626\) | 17.1367 | − | 5.28598i | 0.684922 | − | 0.211270i | ||||
\(627\) | −35.4132 | − | 11.3766i | −1.41427 | − | 0.454337i | ||||
\(628\) | 14.8522 | − | 48.1496i | 0.592667 | − | 1.92138i | ||||
\(629\) | 1.83412 | − | 2.29992i | 0.0731313 | − | 0.0917038i | ||||
\(630\) | −38.5128 | + | 11.0191i | −1.53439 | + | 0.439012i | ||||
\(631\) | 12.4176 | + | 15.5712i | 0.494337 | + | 0.619879i | 0.964941 | − | 0.262465i | \(-0.0845355\pi\) |
−0.470604 | + | 0.882344i | \(0.655964\pi\) | |||||||
\(632\) | 58.3890 | − | 22.9160i | 2.32259 | − | 0.911549i | ||||
\(633\) | 13.1444 | + | 16.8820i | 0.522444 | + | 0.670999i | ||||
\(634\) | 5.36497 | + | 0.808639i | 0.213070 | + | 0.0321152i | ||||
\(635\) | 5.58871 | − | 24.4857i | 0.221781 | − | 0.971686i | ||||
\(636\) | −22.8876 | + | 1.44752i | −0.907552 | + | 0.0573980i | ||||
\(637\) | −29.5803 | + | 11.7975i | −1.17202 | + | 0.467435i | ||||
\(638\) | − | 30.8842i | − | 1.22272i | ||||||
\(639\) | −25.7801 | − | 2.53660i | −1.01984 | − | 0.100346i | ||||
\(640\) | −20.9361 | + | 8.21683i | −0.827574 | + | 0.324799i | ||||
\(641\) | 3.02423 | − | 6.27988i | 0.119450 | − | 0.248041i | −0.832667 | − | 0.553774i | \(-0.813187\pi\) |
0.952117 | + | 0.305733i | \(0.0989016\pi\) | |||||||
\(642\) | −73.0454 | − | 51.0569i | −2.88287 | − | 2.01506i | ||||
\(643\) | −3.48035 | − | 23.0906i | −0.137252 | − | 0.910606i | −0.946399 | − | 0.323000i | \(-0.895309\pi\) |
0.809147 | − | 0.587606i | \(-0.199929\pi\) | |||||||
\(644\) | 14.1158 | + | 9.56722i | 0.556239 | + | 0.377001i | ||||
\(645\) | 1.61374 | − | 18.6226i | 0.0635408 | − | 0.733263i | ||||
\(646\) | −9.40404 | − | 2.90076i | −0.369997 | − | 0.114129i | ||||
\(647\) | 18.5241 | − | 2.79206i | 0.728257 | − | 0.109767i | 0.225559 | − | 0.974229i | \(-0.427579\pi\) |
0.502698 | + | 0.864462i | \(0.332341\pi\) | |||||||
\(648\) | 57.1330 | − | 1.61406i | 2.24440 | − | 0.0634062i | ||||
\(649\) | −18.3049 | + | 26.8484i | −0.718530 | + | 1.05389i | ||||
\(650\) | −11.9281 | + | 3.67932i | −0.467857 | + | 0.144315i | ||||
\(651\) | −35.4994 | − | 11.2967i | −1.39133 | − | 0.442752i | ||||
\(652\) | −11.5189 | − | 3.55310i | −0.451114 | − | 0.139150i | ||||
\(653\) | 9.41586 | − | 7.50890i | 0.368471 | − | 0.293846i | −0.421696 | − | 0.906737i | \(-0.638565\pi\) |
0.790167 | + | 0.612891i | \(0.209994\pi\) | |||||||
\(654\) | −57.2109 | − | 33.9246i | −2.23712 | − | 1.32656i | ||||
\(655\) | 4.56205 | 0.178254 | ||||||||
\(656\) | −8.12575 | − | 14.0742i | −0.317257 | − | 0.549506i | ||||
\(657\) | 41.6423 | − | 2.14738i | 1.62462 | − | 0.0837771i | ||||
\(658\) | 10.6512 | + | 1.57548i | 0.415227 | + | 0.0614185i | ||||
\(659\) | −18.5554 | + | 1.39053i | −0.722815 | + | 0.0541675i | −0.431057 | − | 0.902325i | \(-0.641859\pi\) |
−0.291758 | + | 0.956492i | \(0.594240\pi\) | |||||||
\(660\) | −7.42170 | − | 53.4541i | −0.288889 | − | 2.08070i | ||||
\(661\) | −30.5351 | − | 32.9090i | −1.18768 | − | 1.28001i | −0.951270 | − | 0.308360i | \(-0.900220\pi\) |
−0.236409 | − | 0.971654i | \(-0.575971\pi\) | |||||||
\(662\) | −29.1464 | − | 31.4123i | −1.13281 | − | 1.22087i | ||||
\(663\) | −0.682468 | − | 4.91541i | −0.0265048 | − | 0.190899i | ||||
\(664\) | 87.6945 | − | 6.57179i | 3.40321 | − | 0.255035i | ||||
\(665\) | 11.6593 | − | 29.9494i | 0.452130 | − | 1.16139i | ||||
\(666\) | −19.4216 | − | 29.9615i | −0.752570 | − | 1.16099i | ||||
\(667\) | −2.48310 | − | 4.30086i | −0.0961461 | − | 0.166530i | ||||
\(668\) | −51.3947 | −1.98852 | ||||||||
\(669\) | −11.4094 | − | 6.76549i | −0.441113 | − | 0.261569i | ||||
\(670\) | 43.7008 | − | 34.8502i | 1.68831 | − | 1.34638i | ||||
\(671\) | −28.4327 | − | 8.77032i | −1.09763 | − | 0.338575i | ||||
\(672\) | 25.5730 | − | 3.62231i | 0.986500 | − | 0.139734i | ||||
\(673\) | 24.1550 | − | 7.45083i | 0.931107 | − | 0.287208i | 0.208146 | − | 0.978098i | \(-0.433257\pi\) |
0.722961 | + | 0.690889i | \(0.242781\pi\) | |||||||
\(674\) | −32.8630 | + | 48.2012i | −1.26584 | + | 1.85664i | ||||
\(675\) | −5.59193 | − | 0.195335i | −0.215233 | − | 0.00751843i | ||||
\(676\) | −34.1939 | + | 5.15390i | −1.31515 | + | 0.198227i | ||||
\(677\) | −15.8129 | − | 4.87763i | −0.607738 | − | 0.187462i | −0.0244143 | − | 0.999702i | \(-0.507772\pi\) |
−0.583324 | + | 0.812239i | \(0.698248\pi\) | |||||||
\(678\) | 6.02564 | − | 69.5361i | 0.231413 | − | 2.67052i | ||||
\(679\) | −26.2974 | + | 8.19092i | −1.00920 | + | 0.314339i | ||||
\(680\) | −1.18068 | − | 7.83330i | −0.0452770 | − | 0.300393i | ||||
\(681\) | 19.1437 | + | 13.3810i | 0.733587 | + | 0.512759i | ||||
\(682\) | 31.4704 | − | 65.3491i | 1.20507 | − | 2.50234i | ||||
\(683\) | 0.753423 | − | 0.295697i | 0.0288289 | − | 0.0113145i | −0.350883 | − | 0.936419i | \(-0.614118\pi\) |
0.379712 | + | 0.925105i | \(0.376023\pi\) | |||||||
\(684\) | −48.1372 | + | 67.1892i | −1.84057 | + | 2.56904i | ||||
\(685\) | − | 34.9218i | − | 1.33429i | ||||||
\(686\) | −46.6033 | + | 7.41790i | −1.77932 | + | 0.283217i | ||||
\(687\) | 43.7065 | − | 2.76421i | 1.66751 | − | 0.105461i | ||||
\(688\) | −8.72555 | + | 38.2291i | −0.332658 | + | 1.45747i | ||||
\(689\) | 13.2590 | + | 1.99847i | 0.505127 | + | 0.0761356i | ||||
\(690\) | −7.70472 | − | 9.89553i | −0.293314 | − | 0.376716i | ||||
\(691\) | −0.586269 | + | 0.230093i | −0.0223027 | + | 0.00875317i | −0.376466 | − | 0.926430i | \(-0.622861\pi\) |
0.354163 | + | 0.935184i | \(0.384766\pi\) | |||||||
\(692\) | −15.8771 | − | 19.9092i | −0.603556 | − | 0.756835i | ||||
\(693\) | 2.64550 | − | 27.6671i | 0.100494 | − | 1.05099i | ||||
\(694\) | 28.8493 | − | 36.1759i | 1.09510 | − | 1.37322i | ||||
\(695\) | −6.57724 | + | 21.3229i | −0.249489 | + | 0.808823i | ||||
\(696\) | −36.2505 | − | 11.6456i | −1.37407 | − | 0.441424i | ||||
\(697\) | −1.35896 | + | 0.419183i | −0.0514742 | + | 0.0158777i | ||||
\(698\) | −58.0976 | + | 27.9783i | −2.19902 | + | 1.05899i | ||||
\(699\) | −10.8681 | + | 4.12011i | −0.411071 | + | 0.155837i | ||||
\(700\) | −12.7604 | + | 0.991543i | −0.482297 | + | 0.0374768i | ||||
\(701\) | 30.0749 | − | 6.86439i | 1.13591 | − | 0.259264i | 0.387094 | − | 0.922040i | \(-0.373479\pi\) |
0.748818 | + | 0.662776i | \(0.230622\pi\) | |||||||
\(702\) | −59.2117 | − | 11.0513i | −2.23480 | − | 0.417103i | ||||
\(703\) | 28.5666 | + | 2.14077i | 1.07741 | + | 0.0807408i | ||||
\(704\) | − | 0.113534i | − | 0.00427896i | ||||||
\(705\) | −4.90870 | − | 2.43469i | −0.184872 | − | 0.0916956i | ||||
\(706\) | 29.7855 | + | 2.23211i | 1.12099 | + | 0.0840067i | ||||
\(707\) | −24.6213 | + | 19.7458i | −0.925979 | + | 0.742618i | ||||
\(708\) | 44.3602 | + | 56.9739i | 1.66716 | + | 2.14121i | ||||
\(709\) | −28.1333 | + | 19.1810i | −1.05657 | + | 0.720356i | −0.961414 | − | 0.275106i | \(-0.911287\pi\) |
−0.0951545 | + | 0.995463i | \(0.530335\pi\) | |||||||
\(710\) | 41.6428 | + | 12.8451i | 1.56283 | + | 0.482068i | ||||
\(711\) | −29.1892 | − | 5.09704i | −1.09468 | − | 0.191154i | ||||
\(712\) | 103.903 | − | 7.78643i | 3.89392 | − | 0.291809i | ||||
\(713\) | −0.871592 | − | 11.6306i | −0.0326414 | − | 0.435569i | ||||
\(714\) | 0.614700 | − | 7.32783i | 0.0230046 | − | 0.274237i | ||||
\(715\) | −2.35800 | + | 31.4653i | −0.0881842 | + | 1.17674i | ||||
\(716\) | 3.61366i | 0.135049i | ||||||||
\(717\) | −18.9458 | + | 38.1975i | −0.707542 | + | 1.42651i | ||||
\(718\) | −6.45036 | + | 3.10633i | −0.240725 | + | 0.115927i | ||||
\(719\) | 9.05692 | − | 23.0767i | 0.337766 | − | 0.860614i | −0.656563 | − | 0.754271i | \(-0.727991\pi\) |
0.994329 | − | 0.106343i | \(-0.0339143\pi\) | |||||||
\(720\) | −42.1265 | − | 7.35617i | −1.56996 | − | 0.274148i | ||||
\(721\) | −5.78933 | − | 7.21879i | −0.215606 | − | 0.268842i | ||||
\(722\) | −13.9782 | − | 45.3163i | −0.520216 | − | 1.68650i | ||||
\(723\) | −9.37930 | + | 5.27055i | −0.348820 | + | 0.196014i | ||||
\(724\) | 19.7353 | + | 63.9803i | 0.733457 | + | 2.37781i | ||||
\(725\) | 3.46976 | + | 1.36178i | 0.128864 | + | 0.0505752i | ||||
\(726\) | 5.41265 | + | 1.30186i | 0.200882 | + | 0.0483167i | ||||
\(727\) | −1.16679 | + | 7.74111i | −0.0432737 | + | 0.287102i | −0.999992 | − | 0.00391234i | \(-0.998755\pi\) |
0.956719 | + | 0.291014i | \(0.0939928\pi\) | |||||||
\(728\) | −76.2425 | − | 5.50285i | −2.82574 | − | 0.203949i | ||||
\(729\) | −23.4494 | − | 13.3837i | −0.868497 | − | 0.495694i | ||||
\(730\) | −69.3638 | − | 10.4549i | −2.56727 | − | 0.386954i | ||||
\(731\) | 3.09158 | + | 1.48883i | 0.114346 | + | 0.0550662i | ||||
\(732\) | −37.8790 | + | 54.1923i | −1.40005 | + | 2.00300i | ||||
\(733\) | −47.7962 | − | 10.9092i | −1.76539 | − | 0.402940i | −0.788223 | − | 0.615390i | \(-0.788998\pi\) |
−0.977172 | + | 0.212451i | \(0.931856\pi\) | |||||||
\(734\) | 4.80834 | − | 8.32829i | 0.177479 | − | 0.307403i | ||||
\(735\) | 23.7241 | + | 3.72496i | 0.875076 | + | 0.137397i | ||||
\(736\) | 4.04312 | + | 7.00289i | 0.149031 | + | 0.258130i | ||||
\(737\) | 11.4311 | + | 37.0586i | 0.421069 | + | 1.36507i | ||||
\(738\) | −0.401782 | + | 17.2569i | −0.0147898 | + | 0.635234i | ||||
\(739\) | 7.24648 | − | 4.94057i | 0.266566 | − | 0.181742i | −0.422659 | − | 0.906289i | \(-0.638903\pi\) |
0.689226 | + | 0.724547i | \(0.257951\pi\) | |||||||
\(740\) | 15.1847 | + | 38.6901i | 0.558202 | + | 1.42228i | ||||
\(741\) | 35.8057 | − | 32.4555i | 1.31535 | − | 1.19228i | ||||
\(742\) | 18.5156 | + | 7.20815i | 0.679729 | + | 0.264620i | ||||
\(743\) | 22.0079 | − | 8.63747i | 0.807392 | − | 0.316878i | 0.0744982 | − | 0.997221i | \(-0.476264\pi\) |
0.732894 | + | 0.680343i | \(0.238169\pi\) | |||||||
\(744\) | −64.8373 | − | 61.5799i | −2.37705 | − | 2.25763i | ||||
\(745\) | 13.2033 | − | 10.5293i | 0.483733 | − | 0.385764i | ||||
\(746\) | 63.5044 | − | 68.4415i | 2.32506 | − | 2.50582i | ||||
\(747\) | −36.9988 | − | 18.8909i | −1.35371 | − | 0.691182i | ||||
\(748\) | 9.65842 | + | 2.20447i | 0.353147 | + | 0.0806035i | ||||
\(749\) | 26.8407 | + | 46.1958i | 0.980740 | + | 1.68796i | ||||
\(750\) | 51.6471 | + | 12.4223i | 1.88589 | + | 0.453597i | ||||
\(751\) | −4.86599 | − | 6.10176i | −0.177563 | − | 0.222656i | 0.685083 | − | 0.728465i | \(-0.259766\pi\) |
−0.862646 | + | 0.505808i | \(0.831194\pi\) | |||||||
\(752\) | 9.49709 | + | 6.47500i | 0.346323 | + | 0.236119i | ||||
\(753\) | 0.782424 | + | 12.3714i | 0.0285131 | + | 0.450837i | ||||
\(754\) | 34.7501 | + | 20.0630i | 1.26552 | + | 0.730650i | ||||
\(755\) | −8.40082 | + | 4.04562i | −0.305737 | + | 0.147235i | ||||
\(756\) | −56.7354 | − | 24.4009i | −2.06345 | − | 0.887452i | ||||
\(757\) | 18.4807 | + | 8.89982i | 0.671691 | + | 0.323469i | 0.738458 | − | 0.674299i | \(-0.235554\pi\) |
−0.0667672 | + | 0.997769i | \(0.521268\pi\) | |||||||
\(758\) | 17.4170 | + | 25.5460i | 0.632614 | + | 0.927874i | ||||
\(759\) | 8.34416 | − | 2.46785i | 0.302874 | − | 0.0895772i | ||||
\(760\) | 56.5501 | − | 52.4708i | 2.05129 | − | 1.90332i | ||||
\(761\) | 3.20380 | + | 1.54287i | 0.116138 | + | 0.0559289i | 0.491050 | − | 0.871131i | \(-0.336613\pi\) |
−0.374913 | + | 0.927060i | \(0.622327\pi\) | |||||||
\(762\) | 44.1551 | − | 34.3794i | 1.59957 | − | 1.24544i | ||||
\(763\) | 22.5524 | + | 32.8837i | 0.816453 | + | 1.19047i | ||||
\(764\) | 34.5046 | + | 71.6495i | 1.24833 | + | 2.59219i | ||||
\(765\) | −1.44789 | + | 3.45074i | −0.0523486 | + | 0.124762i | ||||
\(766\) | −33.0177 | − | 19.0628i | −1.19298 | − | 0.688766i | ||||
\(767\) | −18.3178 | − | 38.0374i | −0.661418 | − | 1.37345i | ||||
\(768\) | −47.6045 | − | 15.2930i | −1.71778 | − | 0.551840i | ||||
\(769\) | 9.54585 | − | 30.9469i | 0.344232 | − | 1.11597i | −0.603622 | − | 0.797270i | \(-0.706276\pi\) |
0.947855 | − | 0.318703i | \(-0.103247\pi\) | |||||||
\(770\) | −13.6588 | + | 44.7168i | −0.492229 | + | 1.61148i | ||||
\(771\) | −11.2738 | − | 1.83369i | −0.406015 | − | 0.0660386i | ||||
\(772\) | −0.877252 | + | 11.7061i | −0.0315730 | + | 0.421312i | ||||
\(773\) | −31.7673 | − | 29.4757i | −1.14259 | − | 1.06017i | −0.997494 | − | 0.0707510i | \(-0.977460\pi\) |
−0.145096 | − | 0.989418i | \(-0.546349\pi\) | |||||||
\(774\) | 29.0317 | − | 29.8635i | 1.04352 | − | 1.07342i | ||||
\(775\) | 5.95416 | + | 6.41706i | 0.213880 | + | 0.230508i | ||||
\(776\) | −65.3747 | − | 9.85365i | −2.34682 | − | 0.353726i | ||||
\(777\) | 3.00201 | + | 21.1938i | 0.107697 | + | 0.760324i | ||||
\(778\) | 42.7764 | − | 6.44750i | 1.53361 | − | 0.231154i | ||||
\(779\) | −10.8276 | − | 8.63471i | −0.387938 | − | 0.309370i | ||||
\(780\) | 64.9663 | + | 26.3741i | 2.32617 | + | 0.944343i | ||||
\(781\) | −18.8519 | + | 23.6395i | −0.674574 | + | 0.845889i | ||||
\(782\) | 2.19995 | − | 0.678595i | 0.0786701 | − | 0.0242665i | ||||
\(783\) | 11.7662 | + | 13.6041i | 0.420488 | + | 0.486169i | ||||
\(784\) | −48.2202 | − | 14.5841i | −1.72215 | − | 0.520860i | ||||
\(785\) | 19.2398 | − | 11.1081i | 0.686700 | − | 0.396466i | ||||
\(786\) | 7.87294 | + | 6.42979i | 0.280819 | + | 0.229343i | ||||
\(787\) | 5.10174 | − | 33.8479i | 0.181858 | − | 1.20655i | −0.692556 | − | 0.721364i | \(-0.743515\pi\) |
0.874413 | − | 0.485182i | \(-0.161246\pi\) | |||||||
\(788\) | −94.4213 | + | 7.07590i | −3.36362 | + | 0.252068i | ||||
\(789\) | −31.9745 | + | 45.7449i | −1.13832 | + | 1.62856i | ||||
\(790\) | 46.4018 | + | 18.2114i | 1.65090 | + | 0.647931i | ||||
\(791\) | −20.8217 | + | 36.2944i | −0.740335 | + | 1.29048i | ||||
\(792\) | 34.6921 | − | 56.9829i | 1.23273 | − | 2.02480i | ||||
\(793\) | 28.3385 | − | 26.2943i | 1.00633 | − | 0.933738i | ||||
\(794\) | −0.428458 | − | 0.537269i | −0.0152054 | − | 0.0190670i | ||||
\(795\) | −7.83145 | − | 6.39590i | −0.277753 | − | 0.226839i | ||||
\(796\) | 0.780242 | + | 1.62019i | 0.0276549 | + | 0.0574261i | ||||
\(797\) | −6.76201 | − | 6.27422i | −0.239523 | − | 0.222244i | 0.551273 | − | 0.834325i | \(-0.314142\pi\) |
−0.790795 | + | 0.612081i | \(0.790333\pi\) | |||||||
\(798\) | 62.3320 | − | 35.2523i | 2.20653 | − | 1.24792i | ||||
\(799\) | 0.737341 | − | 0.684153i | 0.0260853 | − | 0.0242036i | ||||
\(800\) | −5.64965 | − | 2.21732i | −0.199745 | − | 0.0783942i | ||||
\(801\) | −43.8371 | − | 22.3824i | −1.54891 | − | 0.790844i | ||||
\(802\) | 5.95658 | − | 10.3171i | 0.210334 | − | 0.364309i | ||||
\(803\) | 24.3349 | − | 42.1493i | 0.858761 | − | 1.48742i | ||||
\(804\) | 86.1714 | + | 1.00300i | 3.03903 | + | 0.0353732i | ||||
\(805\) | 1.69316 | + | 7.32533i | 0.0596760 | + | 0.258184i | ||||
\(806\) | 53.0852 | + | 77.8616i | 1.86985 | + | 2.74256i | ||||
\(807\) | 4.13322 | + | 5.30848i | 0.145496 | + | 0.186868i | ||||
\(808\) | −73.8574 | + | 16.8575i | −2.59829 | + | 0.593044i | ||||
\(809\) | −7.45453 | + | 24.1670i | −0.262087 | + | 0.849666i | 0.724898 | + | 0.688856i | \(0.241887\pi\) |
−0.986985 | + | 0.160810i | \(0.948589\pi\) | |||||||
\(810\) | 34.1557 | + | 29.9420i | 1.20011 | + | 1.05206i | ||||
\(811\) | 7.80283 | − | 16.2027i | 0.273994 | − | 0.568955i | −0.717881 | − | 0.696165i | \(-0.754888\pi\) |
0.991876 | + | 0.127210i | \(0.0406023\pi\) | |||||||
\(812\) | 30.2364 | + | 27.9009i | 1.06109 | + | 0.979131i | ||||
\(813\) | 11.0905 | + | 6.57641i | 0.388962 | + | 0.230645i | ||||
\(814\) | −41.6760 | −1.46074 | ||||||||
\(815\) | −2.65740 | − | 4.60276i | −0.0930848 | − | 0.161228i | ||||
\(816\) | 4.00399 | − | 6.75238i | 0.140168 | − | 0.236381i | ||||
\(817\) | 4.98030 | + | 33.0422i | 0.174239 | + | 1.15600i | ||||
\(818\) | −10.7676 | − | 47.1757i | −0.376479 | − | 1.64946i | ||||
\(819\) | 29.4117 | + | 20.9497i | 1.02773 | + | 0.732043i | ||||
\(820\) | 4.47119 | − | 19.5896i | 0.156141 | − | 0.684097i | ||||
\(821\) | −37.9468 | − | 2.84372i | −1.32435 | − | 0.0992464i | −0.606299 | − | 0.795236i | \(-0.707347\pi\) |
−0.718051 | + | 0.695990i | \(0.754966\pi\) | |||||||
\(822\) | 49.2191 | − | 60.2663i | 1.71671 | − | 2.10203i | ||||
\(823\) | 17.8770 | − | 45.5497i | 0.623151 | − | 1.58776i | −0.174508 | − | 0.984656i | \(-0.555834\pi\) |
0.797660 | − | 0.603108i | \(-0.206071\pi\) | |||||||
\(824\) | −4.94249 | − | 21.6545i | −0.172180 | − | 0.754369i | ||||
\(825\) | −3.74156 | + | 5.35293i | −0.130265 | + | 0.186365i | ||||
\(826\) | −14.0884 | − | 60.9525i | −0.490198 | − | 2.12081i | ||||
\(827\) | −41.8150 | + | 33.3464i | −1.45405 | + | 1.15957i | −0.497699 | + | 0.867350i | \(0.665822\pi\) |
−0.956352 | + | 0.292218i | \(0.905607\pi\) | |||||||
\(828\) | 0.450059 | − | 19.3304i | 0.0156406 | − | 0.671779i | ||||
\(829\) | 16.9356 | + | 24.8399i | 0.588197 | + | 0.862727i | 0.998794 | − | 0.0490899i | \(-0.0156321\pi\) |
−0.410597 | + | 0.911817i | \(0.634680\pi\) | |||||||
\(830\) | 54.6393 | + | 43.5734i | 1.89656 | + | 1.51245i | ||||
\(831\) | 29.9362 | + | 4.86915i | 1.03848 | + | 0.168909i | ||||
\(832\) | 0.127745 | + | 0.0737536i | 0.00442876 | + | 0.00255695i | ||||
\(833\) | −2.18319 | + | 3.82988i | −0.0756431 | + | 0.132697i | ||||
\(834\) | −41.4033 | + | 27.5279i | −1.43368 | + | 0.953214i | ||||
\(835\) | −16.6109 | − | 15.4127i | −0.574846 | − | 0.533379i | ||||
\(836\) | 35.2459 | + | 89.8050i | 1.21900 | + | 3.10597i | ||||
\(837\) | 11.0342 | + | 40.7748i | 0.381396 | + | 1.40938i | ||||
\(838\) | 5.62394 | − | 37.3124i | 0.194276 | − | 1.28893i | ||||
\(839\) | −3.39581 | + | 8.65239i | −0.117236 | + | 0.298714i | −0.977432 | − | 0.211251i | \(-0.932246\pi\) |
0.860195 | + | 0.509965i | \(0.170342\pi\) | |||||||
\(840\) | 47.3363 | + | 32.8935i | 1.63326 | + | 1.13493i | ||||
\(841\) | 6.21739 | + | 15.8417i | 0.214393 | + | 0.546264i | ||||
\(842\) | −49.7638 | + | 11.3583i | −1.71497 | + | 0.391432i | ||||
\(843\) | 4.02260 | − | 12.5216i | 0.138546 | − | 0.431267i | ||||
\(844\) | 12.3485 | − | 54.1024i | 0.425053 | − | 1.86228i | ||||
\(845\) | −12.5972 | − | 8.58862i | −0.433356 | − | 0.295457i | ||||
\(846\) | −5.03971 | − | 11.1200i | −0.173269 | − | 0.382314i | ||||
\(847\) | −2.61500 | − | 2.07366i | −0.0898524 | − | 0.0712516i | ||||
\(848\) | 14.4273 | + | 15.5489i | 0.495436 | + | 0.533953i | ||||
\(849\) | 6.72071 | − | 20.9204i | 0.230654 | − | 0.717985i | ||||
\(850\) | −0.973393 | + | 1.42771i | −0.0333871 | + | 0.0489699i | ||||
\(851\) | −5.80369 | + | 3.35076i | −0.198948 | + | 0.114863i | ||||
\(852\) | 37.1998 | + | 55.9502i | 1.27444 | + | 1.91682i | ||||
\(853\) | 3.23121 | − | 4.73931i | 0.110634 | − | 0.162271i | −0.766928 | − | 0.641733i | \(-0.778216\pi\) |
0.877563 | + | 0.479462i | \(0.159168\pi\) | |||||||
\(854\) | 49.5307 | − | 28.7784i | 1.69490 | − | 0.984776i | ||||
\(855\) | −35.7074 | + | 7.27995i | −1.22117 | + | 0.248969i | ||||
\(856\) | 9.58357 | + | 127.884i | 0.327560 | + | 4.37098i | ||||
\(857\) | 2.18888 | + | 9.59009i | 0.0747706 | + | 0.327591i | 0.998455 | − | 0.0555623i | \(-0.0176951\pi\) |
−0.923685 | + | 0.383154i | \(0.874838\pi\) | |||||||
\(858\) | −48.4168 | + | 50.9778i | −1.65292 | + | 1.74035i | ||||
\(859\) | 21.6697 | − | 44.9977i | 0.739362 | − | 1.53530i | −0.101973 | − | 0.994787i | \(-0.532516\pi\) |
0.841335 | − | 0.540514i | \(-0.181770\pi\) | |||||||
\(860\) | −40.0577 | + | 27.3109i | −1.36596 | + | 0.931293i | ||||
\(861\) | 4.57263 | − | 9.28314i | 0.155835 | − | 0.316369i | ||||
\(862\) | −24.3046 | − | 16.5706i | −0.827820 | − | 0.564398i | ||||
\(863\) | −18.8969 | + | 10.9102i | −0.643260 | + | 0.371386i | −0.785869 | − | 0.618393i | \(-0.787784\pi\) |
0.142610 | + | 0.989779i | \(0.454451\pi\) | |||||||
\(864\) | −19.1583 | − | 22.1509i | −0.651778 | − | 0.753587i | ||||
\(865\) | 0.839031 | − | 11.1961i | 0.0285279 | − | 0.380679i | ||||
\(866\) | −59.5932 | + | 8.98222i | −2.02506 | + | 0.305228i | ||||
\(867\) | 20.8519 | + | 19.8044i | 0.708169 | + | 0.672592i | ||||
\(868\) | 35.5477 | + | 89.8470i | 1.20657 | + | 3.04960i | ||||
\(869\) | −23.5241 | + | 25.3529i | −0.797999 | + | 0.860038i | ||||
\(870\) | −14.8232 | − | 26.3788i | −0.502553 | − | 0.894326i | ||||
\(871\) | −49.1232 | − | 11.2120i | −1.66447 | − | 0.379905i | ||||
\(872\) | 14.2650 | + | 94.6418i | 0.483072 | + | 3.20497i | ||||
\(873\) | 23.9578 | + | 20.0355i | 0.810850 | + | 0.678100i | ||||
\(874\) | 17.5282 | + | 13.9783i | 0.592901 | + | 0.472823i | ||||
\(875\) | −24.9521 | − | 19.7867i | −0.843535 | − | 0.668911i | ||||
\(876\) | −72.6331 | − | 80.1305i | −2.45405 | − | 2.70736i | ||||
\(877\) | 15.8213 | − | 19.8393i | 0.534247 | − | 0.669924i | −0.439319 | − | 0.898331i | \(-0.644780\pi\) |
0.973566 | + | 0.228407i | \(0.0733517\pi\) | |||||||
\(878\) | −3.42576 | − | 45.7136i | −0.115614 | − | 1.54276i | ||||
\(879\) | −26.7883 | + | 12.5186i | −0.903547 | + | 0.422241i | ||||
\(880\) | −33.9505 | + | 36.5899i | −1.14447 | + | 1.23345i | ||||
\(881\) | 3.28859 | 0.110796 | 0.0553978 | − | 0.998464i | \(-0.482357\pi\) | ||||
0.0553978 | + | 0.998464i | \(0.482357\pi\) | |||||||
\(882\) | 35.6918 | + | 39.8653i | 1.20181 | + | 1.34233i | ||||
\(883\) | −41.3438 | −1.39133 | −0.695665 | − | 0.718366i | \(-0.744890\pi\) | ||||
−0.695665 | + | 0.718366i | \(0.744890\pi\) | |||||||
\(884\) | −8.75470 | + | 9.43533i | −0.294453 | + | 0.317344i | ||||
\(885\) | −2.74846 | + | 31.7173i | −0.0923885 | + | 1.06617i | ||||
\(886\) | 4.26094 | + | 56.8583i | 0.143149 | + | 1.91019i | ||||
\(887\) | 30.5667 | − | 38.3295i | 1.02633 | − | 1.28698i | 0.0691132 | − | 0.997609i | \(-0.477983\pi\) |
0.957218 | − | 0.289369i | \(-0.0934455\pi\) | |||||||
\(888\) | −15.7148 | + | 48.9174i | −0.527355 | + | 1.64156i | ||||
\(889\) | −32.6865 | + | 7.55509i | −1.09627 | + | 0.253390i | ||||
\(890\) | 64.7380 | + | 51.6268i | 2.17002 | + | 1.73054i | ||||
\(891\) | −27.9963 | + | 14.4701i | −0.937911 | + | 0.484766i | ||||
\(892\) | 5.12763 | + | 34.0196i | 0.171686 | + | 1.13906i | ||||
\(893\) | 9.54953 | + | 2.17962i | 0.319563 | + | 0.0729381i | ||||
\(894\) | 37.6258 | + | 0.437950i | 1.25839 | + | 0.0146472i | ||||
\(895\) | −1.08370 | + | 1.16795i | −0.0362240 | + | 0.0390402i | ||||
\(896\) | 22.0788 | + | 20.3735i | 0.737601 | + | 0.680630i | ||||
\(897\) | −2.64377 | + | 10.9918i | −0.0882728 | + | 0.367005i | ||||
\(898\) | −34.3285 | + | 5.17419i | −1.14556 | + | 0.172665i | ||||
\(899\) | 2.10289 | − | 28.0611i | 0.0701353 | − | 0.935890i | ||||
\(900\) | 8.78186 | + | 11.5539i | 0.292729 | + | 0.385130i | ||||
\(901\) | 1.60748 | − | 0.928080i | 0.0535530 | − | 0.0309188i | ||||
\(902\) | 16.6469 | + | 11.3497i | 0.554282 | + | 0.377903i | ||||
\(903\) | −23.3228 | + | 8.91507i | −0.776134 | + | 0.296675i | ||||
\(904\) | −82.9842 | + | 56.5777i | −2.76001 | + | 1.88175i | ||||
\(905\) | −12.8085 | + | 26.5971i | −0.425769 | + | 0.884118i | ||||
\(906\) | −20.1996 | − | 4.85846i | −0.671088 | − | 0.161412i | ||||
\(907\) | −0.757981 | − | 3.32093i | −0.0251684 | − | 0.110270i | 0.960783 | − | 0.277300i | \(-0.0894395\pi\) |
−0.985952 | + | 0.167030i | \(0.946582\pi\) | |||||||
\(908\) | −4.52711 | − | 60.4101i | −0.150238 | − | 2.00478i | ||||
\(909\) | 33.9423 | + | 11.3415i | 1.12579 | + | 0.376174i | ||||
\(910\) | −41.4411 | − | 44.4174i | −1.37376 | − | 1.47242i | ||||
\(911\) | 8.35599 | − | 12.2560i | 0.276846 | − | 0.406059i | −0.662482 | − | 0.749078i | \(-0.730497\pi\) |
0.939329 | + | 0.343019i | \(0.111449\pi\) | |||||||
\(912\) | 76.2945 | − | 4.82523i | 2.52636 | − | 0.159779i | ||||
\(913\) | −41.9925 | + | 24.2444i | −1.38975 | + | 0.802372i | ||||
\(914\) | 31.8005 | − | 46.6428i | 1.05187 | − | 1.54281i | ||||
\(915\) | −28.4943 | + | 6.15563i | −0.941994 | + | 0.203499i | ||||
\(916\) | −77.2590 | − | 83.2654i | −2.55271 | − | 2.75117i | ||||
\(917\) | −2.65909 | − | 5.48305i | −0.0878110 | − | 0.181066i | ||||
\(918\) | −7.36220 | + | 3.91445i | −0.242989 | + | 0.129196i | ||||
\(919\) | −9.77113 | − | 6.66184i | −0.322320 | − | 0.219754i | 0.391340 | − | 0.920246i | \(-0.372012\pi\) |
−0.713660 | + | 0.700492i | \(0.752964\pi\) | |||||||
\(920\) | −4.01576 | + | 17.5942i | −0.132396 | + | 0.580064i | ||||
\(921\) | −8.85835 | − | 9.77273i | −0.291892 | − | 0.322022i | ||||
\(922\) | −2.95684 | + | 0.674880i | −0.0973785 | + | 0.0222260i | ||||
\(923\) | −14.3520 | − | 36.5683i | −0.472402 | − | 1.20366i | ||||
\(924\) | −59.9197 | + | 40.0770i | −1.97122 | + | 1.31844i | ||||
\(925\) | 1.83762 | − | 4.68218i | 0.0604206 | − | 0.153949i | ||||
\(926\) | 0.0268007 | − | 0.177811i | 0.000880725 | − | 0.00584323i | ||||
\(927\) | −3.32525 | + | 9.95163i | −0.109216 | + | 0.326854i | ||||
\(928\) | 7.12768 | + | 18.1610i | 0.233977 | + | 0.596165i | ||||
\(929\) | −5.10806 | − | 4.73959i | −0.167590 | − | 0.155501i | 0.591919 | − | 0.805997i | \(-0.298370\pi\) |
−0.759509 | + | 0.650496i | \(0.774561\pi\) | |||||||
\(930\) | −4.48536 | − | 70.9205i | −0.147081 | − | 2.32558i | ||||
\(931\) | −42.7916 | + | 3.44349i | −1.40244 | + | 0.112856i | ||||
\(932\) | 26.1073 | + | 15.0730i | 0.855172 | + | 0.493734i | ||||
\(933\) | 1.42972 | + | 3.77136i | 0.0468070 | + | 0.123469i | ||||
\(934\) | 80.1191 | + | 63.8928i | 2.62158 | + | 2.09064i | ||||
\(935\) | 2.46054 | + | 3.60895i | 0.0804683 | + | 0.118025i | ||||
\(936\) | 41.5790 | + | 76.0518i | 1.35905 | + | 2.48583i | ||||
\(937\) | −15.5727 | + | 12.4188i | −0.508737 | + | 0.405705i | −0.843937 | − | 0.536443i | \(-0.819768\pi\) |
0.335199 | + | 0.942147i | \(0.391196\pi\) | |||||||
\(938\) | −67.3580 | − | 32.2101i | −2.19932 | − | 1.05170i | ||||
\(939\) | 5.16108 | + | 11.0441i | 0.168426 | + | 0.360411i | ||||
\(940\) | 3.16238 | + | 13.8553i | 0.103146 | + | 0.451910i | ||||
\(941\) | −20.1137 | + | 51.2489i | −0.655689 | + | 1.67067i | 0.0829397 | + | 0.996555i | \(0.473569\pi\) |
−0.738628 | + | 0.674113i | \(0.764526\pi\) | |||||||
\(942\) | 48.8590 | + | 7.94696i | 1.59191 | + | 0.258926i | ||||
\(943\) | 3.23073 | + | 0.242110i | 0.105207 | + | 0.00788418i | ||||
\(944\) | 14.8611 | − | 65.1106i | 0.483686 | − | 2.11917i | ||||
\(945\) | −11.0195 | − | 24.9008i | −0.358466 | − | 0.810023i | ||||
\(946\) | −10.8175 | − | 47.3947i | −0.351708 | − | 1.54093i | ||||
\(947\) | −1.84090 | − | 12.2136i | −0.0598214 | − | 0.396889i | −0.998624 | − | 0.0524343i | \(-0.983302\pi\) |
0.938803 | − | 0.344455i | \(-0.111936\pi\) | |||||||
\(948\) | 37.6492 | + | 66.9993i | 1.22279 | + | 2.17604i | ||||
\(949\) | 31.6168 | + | 54.7620i | 1.02633 | + | 1.77765i | ||||
\(950\) | −16.8271 | −0.545943 | ||||||||
\(951\) | −0.0429253 | + | 3.68786i | −0.00139195 | + | 0.119587i | ||||
\(952\) | −8.72654 | + | 5.98486i | −0.282829 | + | 0.193971i | ||||
\(953\) | −1.04731 | + | 2.17476i | −0.0339257 | + | 0.0704474i | −0.917243 | − | 0.398328i | \(-0.869590\pi\) |
0.883317 | + | 0.468776i | \(0.155305\pi\) | |||||||
\(954\) | −4.50068 | − | 22.0754i | −0.145715 | − | 0.714718i | ||||
\(955\) | −10.3349 | + | 33.5049i | −0.334430 | + | 1.08419i | ||||
\(956\) | 107.816 | − | 24.6084i | 3.48703 | − | 0.795892i | ||||
\(957\) | 20.7945 | − | 2.88716i | 0.672191 | − | 0.0933287i | ||||
\(958\) | 5.67804 | + | 8.32815i | 0.183449 | + | 0.269070i | ||||
\(959\) | −41.9720 | + | 20.3550i | −1.35535 | + | 0.657297i | ||||
\(960\) | −0.0544916 | − | 0.0969714i | −0.00175871 | − | 0.00312974i | ||||
\(961\) | 17.5433 | − | 30.3860i | 0.565914 | − | 0.980192i | ||||
\(962\) | 27.0735 | − | 46.8927i | 0.872884 | − | 1.51188i | ||||
\(963\) | 27.5484 | − | 53.9549i | 0.887734 | − | 1.73867i | ||||
\(964\) | 25.9757 | + | 10.1947i | 0.836622 | + | 0.328350i | ||||
\(965\) | −3.79407 | + | 3.52038i | −0.122135 | + | 0.113325i | ||||
\(966\) | −7.40241 | + | 15.0280i | −0.238169 | + | 0.483519i | ||||
\(967\) | 23.1566 | + | 21.4861i | 0.744665 | + | 0.690948i | 0.958236 | − | 0.285980i | \(-0.0923190\pi\) |
−0.213571 | + | 0.976928i | \(0.568510\pi\) | |||||||
\(968\) | −3.47577 | − | 7.21750i | −0.111715 | − | 0.231979i | ||||
\(969\) | 1.07398 | − | 6.60296i | 0.0345011 | − | 0.212118i | ||||
\(970\) | −32.7582 | − | 41.0775i | −1.05180 | − | 1.31892i | ||||
\(971\) | −2.83983 | + | 2.63498i | −0.0911345 | + | 0.0845604i | −0.724425 | − | 0.689354i | \(-0.757894\pi\) |
0.633290 | + | 0.773914i | \(0.281704\pi\) | |||||||
\(972\) | 11.5856 | + | 69.0644i | 0.371610 | + | 2.21524i | ||||
\(973\) | 29.4613 | − | 4.52345i | 0.944488 | − | 0.145015i | ||||
\(974\) | 98.5034 | + | 38.6597i | 3.15625 | + | 1.23874i | ||||
\(975\) | −3.59238 | − | 7.68727i | −0.115048 | − | 0.246190i | ||||
\(976\) | 60.9825 | − | 4.57000i | 1.95200 | − | 0.146282i | ||||
\(977\) | 3.39261 | − | 22.5085i | 0.108539 | − | 0.720111i | −0.866679 | − | 0.498866i | \(-0.833750\pi\) |
0.975218 | − | 0.221245i | \(-0.0710119\pi\) | |||||||
\(978\) | 1.90116 | − | 11.6886i | 0.0607922 | − | 0.373759i | ||||
\(979\) | −49.7538 | + | 28.7254i | −1.59014 | + | 0.918067i | ||||
\(980\) | −31.4394 | − | 53.7697i | −1.00429 | − | 1.71761i | ||||
\(981\) | 17.4934 | − | 41.6918i | 0.558520 | − | 1.33112i | ||||
\(982\) | 18.0428 | − | 5.56545i | 0.575767 | − | 0.177601i | ||||
\(983\) | −14.4883 | + | 18.1677i | −0.462105 | + | 0.579461i | −0.957218 | − | 0.289368i | \(-0.906555\pi\) |
0.495114 | + | 0.868828i | \(0.335126\pi\) | |||||||
\(984\) | 19.5989 | − | 15.2598i | 0.624789 | − | 0.486465i | ||||
\(985\) | −32.6393 | − | 26.0290i | −1.03997 | − | 0.829352i | ||||
\(986\) | 5.49255 | − | 0.827869i | 0.174919 | − | 0.0263647i | ||||
\(987\) | −0.0650653 | + | 7.31880i | −0.00207105 | + | 0.232960i | ||||
\(988\) | −123.942 | − | 18.6813i | −3.94313 | − | 0.594332i | ||||
\(989\) | −5.31697 | − | 5.73033i | −0.169070 | − | 0.182214i | ||||
\(990\) | 51.0113 | − | 14.4435i | 1.62125 | − | 0.459045i | ||||
\(991\) | 9.28228 | + | 8.61270i | 0.294861 | + | 0.273591i | 0.813705 | − | 0.581278i | \(-0.197447\pi\) |
−0.518844 | + | 0.854869i | \(0.673637\pi\) | |||||||
\(992\) | −3.42404 | + | 45.6906i | −0.108713 | + | 1.45068i | ||||
\(993\) | 18.4254 | − | 22.5610i | 0.584712 | − | 0.715950i | ||||
\(994\) | −8.83414 | − | 57.5369i | −0.280202 | − | 1.82496i | ||||
\(995\) | −0.233700 | + | 0.757638i | −0.00740880 | + | 0.0240187i | ||||
\(996\) | 22.7519 | + | 105.318i | 0.720922 | + | 3.33714i | ||||
\(997\) | 15.7215 | + | 32.6460i | 0.497904 | + | 1.03391i | 0.986857 | + | 0.161598i | \(0.0516647\pi\) |
−0.488953 | + | 0.872310i | \(0.662621\pi\) | |||||||
\(998\) | 54.6057 | + | 31.5266i | 1.72851 | + | 0.997958i | ||||
\(999\) | 18.3577 | − | 15.8776i | 0.580811 | − | 0.502344i |
(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 | 441.2.bd.a.122.52 | yes | 648 | |
9.2 | odd | 6 | 441.2.bn.a.416.52 | yes | 648 | ||
49.47 | odd | 42 | 441.2.bn.a.194.52 | yes | 648 | ||
441.47 | even | 42 | inner | 441.2.bd.a.47.52 | ✓ | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.47.52 | ✓ | 648 | 441.47 | even | 42 | inner | |
441.2.bd.a.122.52 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.bn.a.194.52 | yes | 648 | 49.47 | odd | 42 | ||
441.2.bn.a.416.52 | yes | 648 | 9.2 | odd | 6 |