Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(24,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([35, 26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.24");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cc (of order \(60\), degree \(16\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(560\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 24.2 | ||
Character | \(\chi\) | \(=\) | 403.24 |
Dual form | 403.2.cc.a.84.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{13}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.75032 | + | 0.144138i | −1.94477 | + | 0.101921i | −0.984305 | − | 0.176476i | \(-0.943530\pi\) |
−0.960466 | + | 0.278397i | \(0.910197\pi\) | |||||||
\(3\) | −1.37473 | + | 1.23781i | −0.793702 | + | 0.714652i | −0.962584 | − | 0.270984i | \(-0.912651\pi\) |
0.168882 | + | 0.985636i | \(0.445984\pi\) | |||||||
\(4\) | 5.55445 | − | 0.583796i | 2.77722 | − | 0.291898i | ||||
\(5\) | −0.372115 | + | 0.0997080i | −0.166415 | + | 0.0445908i | −0.341065 | − | 0.940040i | \(-0.610787\pi\) |
0.174649 | + | 0.984631i | \(0.444121\pi\) | |||||||
\(6\) | 3.60254 | − | 3.60254i | 1.47073 | − | 1.47073i | ||||
\(7\) | 0.787181 | − | 4.97006i | 0.297526 | − | 1.87851i | −0.156737 | − | 0.987640i | \(-0.550097\pi\) |
0.454263 | − | 0.890867i | \(-0.349903\pi\) | |||||||
\(8\) | −9.75199 | + | 1.54456i | −3.44785 | + | 0.546086i | ||||
\(9\) | 0.0441185 | − | 0.419760i | 0.0147062 | − | 0.139920i | ||||
\(10\) | 1.00907 | − | 0.327865i | 0.319095 | − | 0.103680i | ||||
\(11\) | 0.698410 | + | 0.110617i | 0.210578 | + | 0.0333524i | 0.260832 | − | 0.965384i | \(-0.416003\pi\) |
−0.0502538 | + | 0.998736i | \(0.516003\pi\) | |||||||
\(12\) | −6.91325 | + | 7.67794i | −1.99568 | + | 2.21643i | ||||
\(13\) | −2.83213 | + | 2.23138i | −0.785491 | + | 0.618874i | ||||
\(14\) | −1.44862 | + | 13.7827i | −0.387161 | + | 3.68359i | ||||
\(15\) | 0.388139 | − | 0.597682i | 0.100217 | − | 0.154321i | ||||
\(16\) | 15.6725 | − | 3.33129i | 3.91812 | − | 0.832823i | ||||
\(17\) | 1.05729 | + | 0.768165i | 0.256430 | + | 0.186307i | 0.708572 | − | 0.705639i | \(-0.249340\pi\) |
−0.452142 | + | 0.891946i | \(0.649340\pi\) | |||||||
\(18\) | −0.0608367 | + | 1.16083i | −0.0143393 | + | 0.273611i | ||||
\(19\) | 1.46517 | − | 2.87557i | 0.336134 | − | 0.659700i | −0.659636 | − | 0.751585i | \(-0.729289\pi\) |
0.995770 | + | 0.0918856i | \(0.0292894\pi\) | |||||||
\(20\) | −2.00869 | + | 0.771063i | −0.449156 | + | 0.172415i | ||||
\(21\) | 5.06985 | + | 7.80689i | 1.10633 | + | 1.70360i | ||||
\(22\) | −1.93680 | − | 0.203565i | −0.412926 | − | 0.0434003i | ||||
\(23\) | −0.633635 | + | 6.02864i | −0.132122 | + | 1.25706i | 0.704669 | + | 0.709536i | \(0.251095\pi\) |
−0.836791 | + | 0.547522i | \(0.815571\pi\) | |||||||
\(24\) | 11.4945 | − | 14.1945i | 2.34630 | − | 2.89744i | ||||
\(25\) | −4.20160 | + | 2.42579i | −0.840320 | + | 0.485159i | ||||
\(26\) | 7.46763 | − | 6.54523i | 1.46452 | − | 1.28363i | ||||
\(27\) | −2.80307 | − | 3.85810i | −0.539451 | − | 0.742491i | ||||
\(28\) | 1.47085 | − | 28.0655i | 0.277965 | − | 5.30388i | ||||
\(29\) | −4.09887 | − | 3.69064i | −0.761141 | − | 0.685335i | 0.194159 | − | 0.980970i | \(-0.437802\pi\) |
−0.955301 | + | 0.295635i | \(0.904469\pi\) | |||||||
\(30\) | −0.981358 | + | 1.69976i | −0.179171 | + | 0.310333i | ||||
\(31\) | −1.79308 | + | 5.27113i | −0.322047 | + | 0.946724i | ||||
\(32\) | −23.5500 | + | 6.31020i | −4.16309 | + | 1.11550i | ||||
\(33\) | −1.09705 | + | 0.712433i | −0.190972 | + | 0.124019i | ||||
\(34\) | −3.01860 | − | 1.96030i | −0.517686 | − | 0.336189i | ||||
\(35\) | 0.202633 | + | 1.92793i | 0.0342513 | + | 0.325879i | ||||
\(36\) | − | 2.35729i | − | 0.392881i | ||||||
\(37\) | −2.48522 | + | 0.665912i | −0.408567 | + | 0.109475i | −0.457248 | − | 0.889339i | \(-0.651165\pi\) |
0.0486809 | + | 0.998814i | \(0.484498\pi\) | |||||||
\(38\) | −3.61522 | + | 8.11992i | −0.586466 | + | 1.31722i | ||||
\(39\) | 1.13138 | − | 6.57320i | 0.181166 | − | 1.05255i | ||||
\(40\) | 3.47486 | − | 1.54711i | 0.549424 | − | 0.244619i | ||||
\(41\) | −1.13452 | + | 2.22661i | −0.177182 | + | 0.347739i | −0.962468 | − | 0.271393i | \(-0.912516\pi\) |
0.785287 | + | 0.619132i | \(0.212516\pi\) | |||||||
\(42\) | −15.0690 | − | 20.7407i | −2.32520 | − | 3.20036i | ||||
\(43\) | 0.831122 | + | 2.55793i | 0.126745 | + | 0.390081i | 0.994215 | − | 0.107409i | \(-0.0342554\pi\) |
−0.867470 | + | 0.497489i | \(0.834255\pi\) | |||||||
\(44\) | 3.94386 | + | 0.206689i | 0.594559 | + | 0.0311595i | ||||
\(45\) | 0.0254362 | + | 0.160598i | 0.00379181 | + | 0.0239405i | ||||
\(46\) | 0.873744 | − | 16.6720i | 0.128826 | − | 2.45816i | ||||
\(47\) | −2.37424 | − | 4.65970i | −0.346318 | − | 0.679687i | 0.650491 | − | 0.759514i | \(-0.274563\pi\) |
−0.996809 | + | 0.0798268i | \(0.974563\pi\) | |||||||
\(48\) | −17.4220 | + | 23.9793i | −2.51464 | + | 3.46111i | ||||
\(49\) | −17.4245 | − | 5.66156i | −2.48921 | − | 0.808794i | ||||
\(50\) | 11.2061 | − | 7.27732i | 1.58478 | − | 1.02917i | ||||
\(51\) | −2.40433 | + | 0.252706i | −0.336674 | + | 0.0353859i | ||||
\(52\) | −14.4282 | + | 14.0475i | −2.00084 | + | 1.94803i | ||||
\(53\) | −4.83397 | − | 10.8573i | −0.663997 | − | 1.49136i | −0.859754 | − | 0.510709i | \(-0.829383\pi\) |
0.195757 | − | 0.980652i | \(-0.437284\pi\) | |||||||
\(54\) | 8.26544 | + | 10.2070i | 1.12478 | + | 1.38899i | ||||
\(55\) | −0.270919 | + | 0.0284747i | −0.0365307 | + | 0.00383953i | ||||
\(56\) | 49.6839i | 6.63929i | ||||||||
\(57\) | 1.54519 | + | 5.76674i | 0.204666 | + | 0.763824i | ||||
\(58\) | 11.8052 | + | 9.55964i | 1.55010 | + | 1.25524i | ||||
\(59\) | −1.76928 | − | 3.47241i | −0.230341 | − | 0.452070i | 0.746688 | − | 0.665174i | \(-0.231643\pi\) |
−0.977029 | + | 0.213104i | \(0.931643\pi\) | |||||||
\(60\) | 1.80697 | − | 3.54639i | 0.233279 | − | 0.457836i | ||||
\(61\) | −0.609044 | − | 0.351632i | −0.0779801 | − | 0.0450218i | 0.460503 | − | 0.887658i | \(-0.347669\pi\) |
−0.538483 | + | 0.842636i | \(0.681002\pi\) | |||||||
\(62\) | 4.17178 | − | 14.7558i | 0.529816 | − | 1.87398i | ||||
\(63\) | −2.05150 | − | 0.549699i | −0.258465 | − | 0.0692555i | ||||
\(64\) | 33.3836 | − | 10.8470i | 4.17295 | − | 1.35587i | ||||
\(65\) | 0.831392 | − | 1.11272i | 0.103121 | − | 0.138016i | ||||
\(66\) | 2.91455 | − | 2.11755i | 0.358756 | − | 0.260652i | ||||
\(67\) | −6.78966 | − | 6.78966i | −0.829489 | − | 0.829489i | 0.157957 | − | 0.987446i | \(-0.449509\pi\) |
−0.987446 | + | 0.157957i | \(0.949509\pi\) | |||||||
\(68\) | 6.32110 | + | 3.64949i | 0.766546 | + | 0.442566i | ||||
\(69\) | −6.59126 | − | 9.07209i | −0.793494 | − | 1.09215i | ||||
\(70\) | −0.835194 | − | 5.27321i | −0.0998248 | − | 0.630269i | ||||
\(71\) | −9.59128 | + | 7.76686i | −1.13827 | + | 0.921757i | −0.997664 | − | 0.0683081i | \(-0.978240\pi\) |
−0.140611 | + | 0.990065i | \(0.544907\pi\) | |||||||
\(72\) | 0.218102 | + | 4.16164i | 0.0257036 | + | 0.490454i | ||||
\(73\) | 1.83563 | − | 2.26681i | 0.214844 | − | 0.265311i | −0.658318 | − | 0.752740i | \(-0.728732\pi\) |
0.873163 | + | 0.487429i | \(0.162065\pi\) | |||||||
\(74\) | 6.73917 | − | 2.18969i | 0.783412 | − | 0.254546i | ||||
\(75\) | 2.77339 | − | 8.53562i | 0.320243 | − | 0.985608i | ||||
\(76\) | 6.45949 | − | 16.8275i | 0.740954 | − | 1.93025i | ||||
\(77\) | 1.09955 | − | 3.38407i | 0.125305 | − | 0.385650i | ||||
\(78\) | −2.16421 | + | 18.2415i | −0.245049 | + | 2.06544i | ||||
\(79\) | 8.12110 | + | 0.853562i | 0.913695 | + | 0.0960333i | 0.549695 | − | 0.835365i | \(-0.314744\pi\) |
0.364001 | + | 0.931399i | \(0.381411\pi\) | |||||||
\(80\) | −5.49982 | + | 2.80230i | −0.614898 | + | 0.313306i | ||||
\(81\) | 9.86762 | + | 2.09743i | 1.09640 | + | 0.233048i | ||||
\(82\) | 2.79935 | − | 6.28743i | 0.309136 | − | 0.694331i | ||||
\(83\) | −0.722865 | + | 0.469434i | −0.0793448 | + | 0.0515271i | −0.583702 | − | 0.811968i | \(-0.698396\pi\) |
0.504357 | + | 0.863495i | \(0.331730\pi\) | |||||||
\(84\) | 32.7179 | + | 40.4032i | 3.56981 | + | 4.40835i | ||||
\(85\) | −0.470025 | − | 0.180426i | −0.0509814 | − | 0.0195699i | ||||
\(86\) | −2.65455 | − | 6.91533i | −0.286247 | − | 0.745699i | ||||
\(87\) | 10.2032 | 1.09390 | ||||||||
\(88\) | −6.98174 | −0.744256 | ||||||||
\(89\) | 1.20719 | + | 3.14483i | 0.127961 | + | 0.333351i | 0.982562 | − | 0.185935i | \(-0.0595313\pi\) |
−0.854601 | + | 0.519286i | \(0.826198\pi\) | |||||||
\(90\) | −0.0931061 | − | 0.438030i | −0.00981425 | − | 0.0461724i | ||||
\(91\) | 8.86071 | + | 15.8324i | 0.928855 | + | 1.65968i | ||||
\(92\) | 33.8557i | 3.52970i | ||||||||
\(93\) | −4.05968 | − | 9.46590i | −0.420969 | − | 0.981568i | ||||
\(94\) | 7.20156 | + | 12.4735i | 0.742784 | + | 1.28654i | ||||
\(95\) | −0.258497 | + | 1.21613i | −0.0265212 | + | 0.124773i | ||||
\(96\) | 24.5640 | − | 37.8253i | 2.50706 | − | 3.86053i | ||||
\(97\) | −3.10004 | + | 3.82824i | −0.314762 | + | 0.388698i | −0.909833 | − | 0.414974i | \(-0.863790\pi\) |
0.595071 | + | 0.803673i | \(0.297124\pi\) | |||||||
\(98\) | 48.7390 | + | 13.0596i | 4.92338 | + | 1.31922i | ||||
\(99\) | 0.0772455 | − | 0.288284i | 0.00776346 | − | 0.0289736i | ||||
\(100\) | −21.9214 | + | 15.9268i | −2.19214 | + | 1.59268i | ||||
\(101\) | −10.6779 | − | 1.12230i | −1.06250 | − | 0.111673i | −0.442882 | − | 0.896580i | \(-0.646044\pi\) |
−0.619613 | + | 0.784907i | \(0.712711\pi\) | |||||||
\(102\) | 6.57626 | − | 1.04158i | 0.651147 | − | 0.103132i | ||||
\(103\) | −3.07794 | + | 14.4806i | −0.303279 | + | 1.42681i | 0.517557 | + | 0.855649i | \(0.326842\pi\) |
−0.820835 | + | 0.571165i | \(0.806492\pi\) | |||||||
\(104\) | 24.1724 | − | 26.1348i | 2.37030 | − | 2.56273i | ||||
\(105\) | −2.66498 | − | 2.39956i | −0.260075 | − | 0.234173i | ||||
\(106\) | 14.8599 | + | 29.1642i | 1.44332 | + | 2.83268i | ||||
\(107\) | −8.40996 | + | 3.74436i | −0.813022 | + | 0.361981i | −0.770760 | − | 0.637126i | \(-0.780123\pi\) |
−0.0422621 | + | 0.999107i | \(0.513456\pi\) | |||||||
\(108\) | −17.8219 | − | 19.7932i | −1.71491 | − | 1.90460i | ||||
\(109\) | −5.00615 | + | 2.55076i | −0.479503 | + | 0.244319i | −0.676998 | − | 0.735985i | \(-0.736719\pi\) |
0.197495 | + | 0.980304i | \(0.436719\pi\) | |||||||
\(110\) | 0.741009 | − | 0.117364i | 0.0706524 | − | 0.0111902i | ||||
\(111\) | 2.59223 | − | 3.99169i | 0.246044 | − | 0.378874i | ||||
\(112\) | −4.21964 | − | 80.5156i | −0.398719 | − | 7.60801i | ||||
\(113\) | 5.91615 | + | 2.63404i | 0.556544 | + | 0.247789i | 0.665680 | − | 0.746237i | \(-0.268142\pi\) |
−0.109136 | + | 0.994027i | \(0.534808\pi\) | |||||||
\(114\) | −5.08099 | − | 15.6377i | −0.475878 | − | 1.46460i | ||||
\(115\) | −0.365318 | − | 2.30653i | −0.0340661 | − | 0.215085i | ||||
\(116\) | −24.9216 | − | 18.1066i | −2.31391 | − | 1.68115i | ||||
\(117\) | 0.811694 | + | 1.28726i | 0.0750412 | + | 0.119007i | ||||
\(118\) | 5.36661 | + | 9.29524i | 0.494036 | + | 0.855696i | ||||
\(119\) | 4.65010 | − | 4.65010i | 0.426274 | − | 0.426274i | ||||
\(120\) | −2.86197 | + | 6.42809i | −0.261261 | + | 0.586802i | ||||
\(121\) | −9.98608 | − | 3.24467i | −0.907826 | − | 0.294970i | ||||
\(122\) | 1.72575 | + | 0.879313i | 0.156242 | + | 0.0796093i | ||||
\(123\) | −1.19648 | − | 4.46532i | −0.107883 | − | 0.402624i | ||||
\(124\) | −6.88231 | + | 30.3250i | −0.618050 | + | 2.72327i | ||||
\(125\) | 2.68365 | − | 2.68365i | 0.240033 | − | 0.240033i | ||||
\(126\) | 5.72152 | + | 1.21615i | 0.509714 | + | 0.108343i | ||||
\(127\) | 11.5775 | + | 12.8581i | 1.02734 | + | 1.14097i | 0.989913 | + | 0.141675i | \(0.0452489\pi\) |
0.0374251 | + | 0.999299i | \(0.488084\pi\) | |||||||
\(128\) | −44.7295 | + | 17.1700i | −3.95356 | + | 1.51763i | ||||
\(129\) | −4.30881 | − | 2.48769i | −0.379370 | − | 0.219029i | ||||
\(130\) | −2.12621 | + | 3.18016i | −0.186481 | + | 0.278919i | ||||
\(131\) | 0.358765 | + | 0.159733i | 0.0313455 | + | 0.0139559i | 0.422350 | − | 0.906433i | \(-0.361205\pi\) |
−0.391004 | + | 0.920389i | \(0.627872\pi\) | |||||||
\(132\) | −5.67759 | + | 4.59762i | −0.494171 | + | 0.400172i | ||||
\(133\) | −13.1384 | − | 9.54560i | −1.13924 | − | 0.827708i | ||||
\(134\) | 19.6524 | + | 17.6951i | 1.69771 | + | 1.52862i | ||||
\(135\) | 1.42775 | + | 1.15617i | 0.122881 | + | 0.0995071i | ||||
\(136\) | −11.4971 | − | 5.85809i | −0.985872 | − | 0.502327i | ||||
\(137\) | −14.7917 | − | 9.60584i | −1.26374 | − | 0.820682i | −0.273748 | − | 0.961802i | \(-0.588263\pi\) |
−0.989993 | + | 0.141119i | \(0.954930\pi\) | |||||||
\(138\) | 19.4357 | + | 24.0011i | 1.65448 | + | 2.04311i | ||||
\(139\) | −0.710419 | + | 0.639664i | −0.0602570 | + | 0.0542556i | −0.698709 | − | 0.715406i | \(-0.746242\pi\) |
0.638452 | + | 0.769662i | \(0.279575\pi\) | |||||||
\(140\) | 2.25103 | + | 10.5903i | 0.190247 | + | 0.895041i | ||||
\(141\) | 9.03178 | + | 3.46698i | 0.760613 | + | 0.291972i | ||||
\(142\) | 25.2596 | − | 22.7438i | 2.11974 | − | 1.90862i | ||||
\(143\) | −2.22481 | + | 1.24514i | −0.186048 | + | 0.104124i | ||||
\(144\) | −0.706894 | − | 6.72565i | −0.0589078 | − | 0.560471i | ||||
\(145\) | 1.89324 | + | 0.964654i | 0.157225 | + | 0.0801102i | ||||
\(146\) | −4.72184 | + | 6.49905i | −0.390782 | + | 0.537866i | ||||
\(147\) | 30.9620 | − | 13.7852i | 2.55370 | − | 1.13698i | ||||
\(148\) | −13.4153 | + | 5.14963i | −1.10273 | + | 0.423297i | ||||
\(149\) | −10.0099 | − | 10.0099i | −0.820044 | − | 0.820044i | 0.166070 | − | 0.986114i | \(-0.446892\pi\) |
−0.986114 | + | 0.166070i | \(0.946892\pi\) | |||||||
\(150\) | −6.39740 | + | 23.8754i | −0.522346 | + | 1.94942i | ||||
\(151\) | 1.97389 | + | 0.312633i | 0.160633 | + | 0.0254417i | 0.236233 | − | 0.971697i | \(-0.424087\pi\) |
−0.0756001 | + | 0.997138i | \(0.524087\pi\) | |||||||
\(152\) | −9.84687 | + | 30.3055i | −0.798686 | + | 2.45810i | ||||
\(153\) | 0.369090 | − | 0.409916i | 0.0298392 | − | 0.0331398i | ||||
\(154\) | −2.53634 | + | 9.46576i | −0.204384 | + | 0.762772i | ||||
\(155\) | 0.141659 | − | 2.14026i | 0.0113783 | − | 0.171909i | ||||
\(156\) | 2.44679 | − | 37.1710i | 0.195900 | − | 2.97606i | ||||
\(157\) | 3.09369 | + | 9.52140i | 0.246903 | + | 0.759891i | 0.995318 | + | 0.0966589i | \(0.0308156\pi\) |
−0.748414 | + | 0.663232i | \(0.769184\pi\) | |||||||
\(158\) | −22.4587 | − | 1.17701i | −1.78672 | − | 0.0936378i | ||||
\(159\) | 20.0847 | + | 8.94228i | 1.59282 | + | 0.709169i | ||||
\(160\) | 8.13413 | − | 4.69624i | 0.643060 | − | 0.371271i | ||||
\(161\) | 29.4639 | + | 7.89484i | 2.32208 | + | 0.622200i | ||||
\(162\) | −27.4415 | − | 4.34630i | −2.15600 | − | 0.341477i | ||||
\(163\) | 3.17107 | − | 8.26092i | 0.248377 | − | 0.647045i | −0.751543 | − | 0.659684i | \(-0.770690\pi\) |
0.999920 | + | 0.0126394i | \(0.00402335\pi\) | |||||||
\(164\) | −5.00173 | + | 13.0299i | −0.390569 | + | 1.01747i | ||||
\(165\) | 0.337194 | − | 0.374492i | 0.0262505 | − | 0.0291542i | ||||
\(166\) | 1.92045 | − | 1.39529i | 0.149056 | − | 0.108295i | ||||
\(167\) | 6.85520 | + | 10.5561i | 0.530471 | + | 0.816854i | 0.997735 | − | 0.0672640i | \(-0.0214270\pi\) |
−0.467264 | + | 0.884118i | \(0.654760\pi\) | |||||||
\(168\) | −61.4994 | − | 68.3020i | −4.74478 | − | 5.26962i | ||||
\(169\) | 3.04188 | − | 12.6391i | 0.233991 | − | 0.972239i | ||||
\(170\) | 1.31873 | + | 0.428480i | 0.101142 | + | 0.0328629i | ||||
\(171\) | −1.14240 | − | 0.741886i | −0.0873619 | − | 0.0567335i | ||||
\(172\) | 6.10973 | + | 13.7227i | 0.465863 | + | 1.04634i | ||||
\(173\) | −1.46917 | − | 6.91190i | −0.111699 | − | 0.525502i | −0.998046 | − | 0.0624810i | \(-0.980099\pi\) |
0.886347 | − | 0.463021i | \(-0.153235\pi\) | |||||||
\(174\) | −28.0620 | + | 1.47067i | −2.12738 | + | 0.111491i | ||||
\(175\) | 8.74894 | + | 22.7918i | 0.661357 | + | 1.72289i | ||||
\(176\) | 11.3143 | − | 0.592958i | 0.852849 | − | 0.0446959i | ||||
\(177\) | 6.73050 | + | 2.58360i | 0.505895 | + | 0.194195i | ||||
\(178\) | −3.77344 | − | 8.47529i | −0.282831 | − | 0.635250i | ||||
\(179\) | −1.26898 | − | 12.0735i | −0.0948481 | − | 0.902419i | −0.933699 | − | 0.358058i | \(-0.883439\pi\) |
0.838851 | − | 0.544361i | \(-0.183228\pi\) | |||||||
\(180\) | 0.235041 | + | 0.877184i | 0.0175189 | + | 0.0653814i | ||||
\(181\) | −9.50367 | + | 16.4608i | −0.706402 | + | 1.22352i | 0.259781 | + | 0.965668i | \(0.416350\pi\) |
−0.966183 | + | 0.257857i | \(0.916984\pi\) | |||||||
\(182\) | −26.6518 | − | 42.2669i | −1.97557 | − | 3.13303i | ||||
\(183\) | 1.27253 | − | 0.270484i | 0.0940679 | − | 0.0199947i | ||||
\(184\) | −3.13241 | − | 59.7699i | −0.230924 | − | 4.40630i | ||||
\(185\) | 0.858391 | − | 0.495593i | 0.0631102 | − | 0.0364367i | ||||
\(186\) | 12.5298 | + | 25.4491i | 0.918731 | + | 1.86602i | ||||
\(187\) | 0.653448 | + | 0.653448i | 0.0477849 | + | 0.0477849i | ||||
\(188\) | −15.9079 | − | 24.4960i | −1.16020 | − | 1.78655i | ||||
\(189\) | −21.3815 | + | 10.8944i | −1.55528 | + | 0.792453i | ||||
\(190\) | 0.535658 | − | 3.38201i | 0.0388607 | − | 0.245357i | ||||
\(191\) | −0.253727 | − | 0.439469i | −0.0183591 | − | 0.0317988i | 0.856700 | − | 0.515815i | \(-0.172511\pi\) |
−0.875059 | + | 0.484016i | \(0.839178\pi\) | |||||||
\(192\) | −32.4670 | + | 56.2344i | −2.34310 | + | 4.05837i | ||||
\(193\) | −12.2740 | − | 9.93930i | −0.883503 | − | 0.715447i | 0.0760112 | − | 0.997107i | \(-0.475782\pi\) |
−0.959514 | + | 0.281660i | \(0.909115\pi\) | |||||||
\(194\) | 7.97432 | − | 10.9757i | 0.572523 | − | 0.788010i | ||||
\(195\) | 0.234396 | + | 2.55880i | 0.0167855 | + | 0.183239i | ||||
\(196\) | −100.089 | − | 21.2745i | −7.14919 | − | 1.51961i | ||||
\(197\) | −1.14587 | + | 7.23476i | −0.0816401 | + | 0.515455i | 0.912650 | + | 0.408742i | \(0.134033\pi\) |
−0.994290 | + | 0.106713i | \(0.965967\pi\) | |||||||
\(198\) | −0.170897 | + | 0.804008i | −0.0121451 | + | 0.0571383i | ||||
\(199\) | 0.336789 | − | 0.0715868i | 0.0238744 | − | 0.00507465i | −0.195959 | − | 0.980612i | \(-0.562782\pi\) |
0.219833 | + | 0.975537i | \(0.429449\pi\) | |||||||
\(200\) | 37.2272 | − | 30.1460i | 2.63236 | − | 2.13164i | ||||
\(201\) | 17.7383 | + | 0.929625i | 1.25116 | + | 0.0655707i | ||||
\(202\) | 29.5295 | + | 1.54758i | 2.07769 | + | 0.108887i | ||||
\(203\) | −21.5693 | + | 17.4665i | −1.51387 | + | 1.22590i | ||||
\(204\) | −13.2072 | + | 2.80728i | −0.924690 | + | 0.196549i | ||||
\(205\) | 0.200160 | − | 0.941678i | 0.0139798 | − | 0.0657697i | ||||
\(206\) | 6.37813 | − | 40.2699i | 0.444385 | − | 2.80574i | ||||
\(207\) | 2.50262 | + | 0.531949i | 0.173944 | + | 0.0369730i | ||||
\(208\) | −36.9531 | + | 44.4059i | −2.56224 | + | 3.07900i | ||||
\(209\) | 1.34138 | − | 1.84625i | 0.0927851 | − | 0.127708i | ||||
\(210\) | 7.67542 | + | 6.21543i | 0.529654 | + | 0.428906i | ||||
\(211\) | 9.57770 | − | 16.5891i | 0.659356 | − | 1.14204i | −0.321427 | − | 0.946934i | \(-0.604162\pi\) |
0.980783 | − | 0.195103i | \(-0.0625042\pi\) | |||||||
\(212\) | −33.1885 | − | 57.4841i | −2.27939 | − | 3.94802i | ||||
\(213\) | 3.57150 | − | 22.5496i | 0.244715 | − | 1.54507i | ||||
\(214\) | 22.5904 | − | 11.5104i | 1.54425 | − | 0.786833i | ||||
\(215\) | −0.564319 | − | 0.868976i | −0.0384863 | − | 0.0592636i | ||||
\(216\) | 33.2946 | + | 33.2946i | 2.26541 | + | 2.26541i | ||||
\(217\) | 24.7864 | + | 13.0611i | 1.68261 | + | 0.886643i | ||||
\(218\) | 13.4009 | − | 7.73700i | 0.907621 | − | 0.524015i | ||||
\(219\) | 0.282396 | + | 5.38843i | 0.0190825 | + | 0.364116i | ||||
\(220\) | −1.48818 | + | 0.316322i | −0.100333 | + | 0.0213264i | ||||
\(221\) | −4.70844 | + | 0.183672i | −0.316724 | + | 0.0123551i | ||||
\(222\) | −6.55412 | + | 11.3521i | −0.439884 | + | 0.761901i | ||||
\(223\) | 2.35459 | + | 8.78746i | 0.157675 | + | 0.588452i | 0.998861 | + | 0.0477063i | \(0.0151911\pi\) |
−0.841186 | + | 0.540746i | \(0.818142\pi\) | |||||||
\(224\) | 12.8240 | + | 122.012i | 0.856839 | + | 8.15228i | ||||
\(225\) | 0.832882 | + | 1.87068i | 0.0555255 | + | 0.124712i | ||||
\(226\) | −16.6510 | − | 6.39171i | −1.10761 | − | 0.425170i | ||||
\(227\) | 12.5071 | − | 0.655470i | 0.830126 | − | 0.0435051i | 0.367462 | − | 0.930039i | \(-0.380227\pi\) |
0.462664 | + | 0.886534i | \(0.346894\pi\) | |||||||
\(228\) | 11.9493 | + | 31.1290i | 0.791362 | + | 2.06157i | ||||
\(229\) | 7.97807 | − | 0.418113i | 0.527206 | − | 0.0276297i | 0.213123 | − | 0.977025i | \(-0.431636\pi\) |
0.314082 | + | 0.949396i | \(0.398303\pi\) | |||||||
\(230\) | 1.33720 | + | 6.29104i | 0.0881724 | + | 0.414819i | ||||
\(231\) | 2.67726 | + | 6.01322i | 0.176151 | + | 0.395641i | ||||
\(232\) | 45.6726 | + | 29.6601i | 2.99855 | + | 1.94728i | ||||
\(233\) | 19.8678 | + | 6.45544i | 1.30158 | + | 0.422910i | 0.876132 | − | 0.482071i | \(-0.160115\pi\) |
0.425452 | + | 0.904981i | \(0.360115\pi\) | |||||||
\(234\) | −2.41796 | − | 3.42338i | −0.158067 | − | 0.223793i | ||||
\(235\) | 1.34810 | + | 1.49722i | 0.0879404 | + | 0.0976677i | ||||
\(236\) | −11.8546 | − | 18.2544i | −0.771667 | − | 1.18826i | ||||
\(237\) | −12.2209 | + | 8.87900i | −0.793832 | + | 0.576753i | ||||
\(238\) | −12.1190 | + | 13.4595i | −0.785560 | + | 0.872452i | ||||
\(239\) | 0.0531821 | − | 0.138544i | 0.00344007 | − | 0.00896168i | −0.931850 | − | 0.362845i | \(-0.881806\pi\) |
0.935290 | + | 0.353883i | \(0.115139\pi\) | |||||||
\(240\) | 4.09205 | − | 10.6602i | 0.264141 | − | 0.688111i | ||||
\(241\) | −24.6528 | − | 3.90462i | −1.58803 | − | 0.251519i | −0.700974 | − | 0.713187i | \(-0.747251\pi\) |
−0.887053 | + | 0.461668i | \(0.847251\pi\) | |||||||
\(242\) | 27.9326 | + | 7.48452i | 1.79558 | + | 0.481123i | ||||
\(243\) | −3.77168 | + | 2.17758i | −0.241953 | + | 0.139692i | ||||
\(244\) | −3.58818 | − | 1.59756i | −0.229710 | − | 0.102273i | ||||
\(245\) | 7.04843 | + | 0.369392i | 0.450307 | + | 0.0235996i | ||||
\(246\) | 3.93432 | + | 12.1086i | 0.250843 | + | 0.772016i | ||||
\(247\) | 2.26692 | + | 11.4133i | 0.144241 | + | 0.726212i | ||||
\(248\) | 9.34451 | − | 54.1736i | 0.593377 | − | 3.44003i | ||||
\(249\) | 0.412674 | − | 1.54012i | 0.0261521 | − | 0.0976011i | ||||
\(250\) | −6.99407 | + | 7.76770i | −0.442344 | + | 0.491273i | ||||
\(251\) | 7.11731 | − | 21.9048i | 0.449241 | − | 1.38262i | −0.428525 | − | 0.903530i | \(-0.640967\pi\) |
0.877765 | − | 0.479091i | \(-0.159033\pi\) | |||||||
\(252\) | −11.7159 | − | 1.85561i | −0.738031 | − | 0.116893i | ||||
\(253\) | −1.10941 | + | 4.14037i | −0.0697479 | + | 0.260303i | ||||
\(254\) | −33.6952 | − | 33.6952i | −2.11423 | − | 2.11423i | ||||
\(255\) | 0.869493 | − | 0.333767i | 0.0544497 | − | 0.0209013i | ||||
\(256\) | 56.4117 | − | 25.1161i | 3.52573 | − | 1.56976i | ||||
\(257\) | −3.85435 | + | 5.30505i | −0.240428 | + | 0.330920i | −0.912130 | − | 0.409901i | \(-0.865563\pi\) |
0.671703 | + | 0.740821i | \(0.265563\pi\) | |||||||
\(258\) | 12.2092 | + | 6.22089i | 0.760111 | + | 0.387296i | ||||
\(259\) | 1.35331 | + | 12.8759i | 0.0840906 | + | 0.800069i | ||||
\(260\) | 3.96832 | − | 6.66589i | 0.246105 | − | 0.413401i | ||||
\(261\) | −1.73002 | + | 1.55772i | −0.107085 | + | 0.0964202i | ||||
\(262\) | −1.00974 | − | 0.387604i | −0.0623821 | − | 0.0239463i | ||||
\(263\) | 3.98165 | + | 18.7322i | 0.245519 | + | 1.15508i | 0.912204 | + | 0.409737i | \(0.134379\pi\) |
−0.666685 | + | 0.745340i | \(0.732287\pi\) | |||||||
\(264\) | 9.59802 | − | 8.64210i | 0.590718 | − | 0.531884i | ||||
\(265\) | 2.88135 | + | 3.55817i | 0.177000 | + | 0.218577i | ||||
\(266\) | 37.5107 | + | 24.3597i | 2.29993 | + | 1.49359i | ||||
\(267\) | −5.55227 | − | 2.82902i | −0.339793 | − | 0.173133i | ||||
\(268\) | −41.6766 | − | 33.7491i | −2.54580 | − | 2.06155i | ||||
\(269\) | 18.7205 | + | 16.8560i | 1.14141 | + | 1.02773i | 0.999282 | + | 0.0378800i | \(0.0120605\pi\) |
0.142126 | + | 0.989849i | \(0.454606\pi\) | |||||||
\(270\) | −4.09342 | − | 2.97404i | −0.249117 | − | 0.180994i | ||||
\(271\) | 1.00959 | − | 0.817553i | 0.0613285 | − | 0.0496628i | −0.598166 | − | 0.801372i | \(-0.704104\pi\) |
0.659495 | + | 0.751709i | \(0.270770\pi\) | |||||||
\(272\) | 19.1293 | + | 8.51692i | 1.15988 | + | 0.516414i | ||||
\(273\) | −31.7786 | − | 10.7973i | −1.92333 | − | 0.653484i | ||||
\(274\) | 42.0665 | + | 24.2871i | 2.54133 | + | 1.46724i | ||||
\(275\) | −3.20277 | + | 1.22943i | −0.193134 | + | 0.0741374i | ||||
\(276\) | −41.9070 | − | 46.5425i | −2.52251 | − | 2.80153i | ||||
\(277\) | 6.19468 | + | 1.31672i | 0.372202 | + | 0.0791141i | 0.390215 | − | 0.920724i | \(-0.372401\pi\) |
−0.0180128 | + | 0.999838i | \(0.505734\pi\) | |||||||
\(278\) | 1.86168 | − | 1.86168i | 0.111656 | − | 0.111656i | ||||
\(279\) | 2.13350 | + | 0.985218i | 0.127729 | + | 0.0589834i | ||||
\(280\) | −4.95388 | − | 18.4881i | −0.296051 | − | 1.10488i | ||||
\(281\) | −8.35466 | − | 4.25691i | −0.498397 | − | 0.253946i | 0.186674 | − | 0.982422i | \(-0.440229\pi\) |
−0.685072 | + | 0.728476i | \(0.740229\pi\) | |||||||
\(282\) | −25.3400 | − | 8.23348i | −1.50898 | − | 0.490296i | ||||
\(283\) | 0.671490 | − | 1.50819i | 0.0399159 | − | 0.0896526i | −0.892487 | − | 0.451073i | \(-0.851041\pi\) |
0.932403 | + | 0.361420i | \(0.117708\pi\) | |||||||
\(284\) | −48.7400 | + | 48.7400i | −2.89219 | + | 2.89219i | ||||
\(285\) | −1.14998 | − | 1.99183i | −0.0681190 | − | 0.117986i | ||||
\(286\) | 5.93948 | − | 3.74521i | 0.351209 | − | 0.221459i | ||||
\(287\) | 10.1733 | + | 7.39137i | 0.600514 | + | 0.436299i | ||||
\(288\) | 1.60978 | + | 10.1637i | 0.0948569 | + | 0.598903i | ||||
\(289\) | −4.72551 | − | 14.5436i | −0.277971 | − | 0.855507i | ||||
\(290\) | −5.34606 | − | 2.38022i | −0.313932 | − | 0.139771i | ||||
\(291\) | −0.476915 | − | 9.10008i | −0.0279572 | − | 0.533456i | ||||
\(292\) | 8.87256 | − | 13.6625i | 0.519227 | − | 0.799540i | ||||
\(293\) | −1.67510 | + | 0.265309i | −0.0978602 | + | 0.0154995i | −0.205172 | − | 0.978726i | \(-0.565776\pi\) |
0.107312 | + | 0.994225i | \(0.465776\pi\) | |||||||
\(294\) | −83.1684 | + | 42.3764i | −4.85048 | + | 2.47144i | ||||
\(295\) | 1.00461 | + | 1.11573i | 0.0584904 | + | 0.0649602i | ||||
\(296\) | 23.2073 | − | 10.3325i | 1.34890 | − | 0.600567i | ||||
\(297\) | −1.53092 | − | 3.00460i | −0.0888330 | − | 0.174345i | ||||
\(298\) | 28.9733 | + | 26.0877i | 1.67838 | + | 1.51122i | ||||
\(299\) | −11.6577 | − | 18.4877i | −0.674179 | − | 1.06917i | ||||
\(300\) | 10.4216 | − | 49.0297i | 0.601691 | − | 2.83073i | ||||
\(301\) | 13.3673 | − | 2.11717i | 0.770479 | − | 0.122032i | ||||
\(302\) | −5.47388 | − | 0.575328i | −0.314987 | − | 0.0331064i | ||||
\(303\) | 16.0685 | − | 11.6745i | 0.923111 | − | 0.670680i | ||||
\(304\) | 13.3836 | − | 49.9482i | 0.767601 | − | 2.86472i | ||||
\(305\) | 0.261695 | + | 0.0701210i | 0.0149846 | + | 0.00401512i | ||||
\(306\) | −0.956033 | + | 1.18060i | −0.0546528 | + | 0.0674905i | ||||
\(307\) | 14.5010 | − | 22.3296i | 0.827618 | − | 1.27442i | −0.131472 | − | 0.991320i | \(-0.541970\pi\) |
0.959090 | − | 0.283100i | \(-0.0913629\pi\) | |||||||
\(308\) | 4.13179 | − | 19.4385i | 0.235430 | − | 1.10761i | ||||
\(309\) | −13.6929 | − | 23.7168i | −0.778963 | − | 1.34920i | ||||
\(310\) | −0.0811147 | + | 5.90681i | −0.00460700 | + | 0.335484i | ||||
\(311\) | 24.0310i | 1.36267i | 0.731971 | + | 0.681336i | \(0.238601\pi\) | ||||
−0.731971 | + | 0.681336i | \(0.761399\pi\) | |||||||
\(312\) | −0.880489 | + | 65.8492i | −0.0498479 | + | 3.72798i | ||||
\(313\) | 2.52042 | + | 11.8576i | 0.142462 | + | 0.670233i | 0.990182 | + | 0.139787i | \(0.0446419\pi\) |
−0.847719 | + | 0.530445i | \(0.822025\pi\) | |||||||
\(314\) | −9.88104 | − | 25.7410i | −0.557619 | − | 1.45265i | ||||
\(315\) | 0.818205 | 0.0461007 | ||||||||
\(316\) | 45.6065 | 2.56557 | ||||||||
\(317\) | 0.592683 | + | 1.54399i | 0.0332884 | + | 0.0867193i | 0.949217 | − | 0.314622i | \(-0.101878\pi\) |
−0.915929 | + | 0.401341i | \(0.868544\pi\) | |||||||
\(318\) | −56.5283 | − | 21.6992i | −3.16995 | − | 1.21683i | ||||
\(319\) | −2.45444 | − | 3.03099i | −0.137422 | − | 0.169703i | ||||
\(320\) | −11.3410 | + | 7.36495i | −0.633983 | + | 0.411713i | ||||
\(321\) | 6.92663 | − | 15.5575i | 0.386607 | − | 0.868333i | ||||
\(322\) | −82.1732 | − | 17.4665i | −4.57934 | − | 0.973368i | ||||
\(323\) | 3.75802 | − | 1.91481i | 0.209102 | − | 0.106543i | ||||
\(324\) | 56.0337 | + | 5.88938i | 3.11298 | + | 0.327188i | ||||
\(325\) | 6.48659 | − | 16.2455i | 0.359811 | − | 0.901139i | ||||
\(326\) | −7.53074 | + | 23.1772i | −0.417089 | + | 1.28367i | ||||
\(327\) | 3.72475 | − | 9.70330i | 0.205979 | − | 0.536594i | ||||
\(328\) | 7.62465 | − | 23.4663i | 0.421001 | − | 1.29571i | ||||
\(329\) | −25.0280 | + | 8.13208i | −1.37984 | + | 0.448336i | ||||
\(330\) | −0.873413 | + | 1.07858i | −0.0480798 | + | 0.0593736i | ||||
\(331\) | 0.155072 | + | 2.95895i | 0.00852354 | + | 0.162639i | 0.999575 | + | 0.0291573i | \(0.00928236\pi\) |
−0.991051 | + | 0.133482i | \(0.957384\pi\) | |||||||
\(332\) | −3.74106 | + | 3.02945i | −0.205317 | + | 0.166263i | ||||
\(333\) | 0.169879 | + | 1.07257i | 0.00930931 | + | 0.0587767i | ||||
\(334\) | −20.3755 | − | 28.0445i | −1.11490 | − | 1.53453i | ||||
\(335\) | 3.20352 | + | 1.84955i | 0.175027 | + | 0.101052i | ||||
\(336\) | 105.464 | + | 105.464i | 5.75355 | + | 5.75355i | ||||
\(337\) | 25.8624 | − | 18.7901i | 1.40882 | − | 1.02356i | 0.415322 | − | 0.909674i | \(-0.363669\pi\) |
0.993493 | − | 0.113890i | \(-0.0363311\pi\) | |||||||
\(338\) | −6.54437 | + | 35.2000i | −0.355967 | + | 1.91463i | ||||
\(339\) | −11.3936 | + | 3.70199i | −0.618814 | + | 0.201065i | ||||
\(340\) | −2.71606 | − | 0.727767i | −0.147299 | − | 0.0394687i | ||||
\(341\) | −1.83538 | + | 3.48307i | −0.0993916 | + | 0.188619i | ||||
\(342\) | 3.24891 | + | 1.87576i | 0.175681 | + | 0.101430i | ||||
\(343\) | −25.8631 | + | 50.7593i | −1.39648 | + | 2.74074i | ||||
\(344\) | −12.0560 | − | 23.6612i | −0.650015 | − | 1.27573i | ||||
\(345\) | 3.35727 | + | 2.71866i | 0.180749 | + | 0.146368i | ||||
\(346\) | 5.03696 | + | 18.7982i | 0.270789 | + | 1.01060i | ||||
\(347\) | − | 32.5029i | − | 1.74485i | −0.488751 | − | 0.872423i | \(-0.662547\pi\) | ||
0.488751 | − | 0.872423i | \(-0.337453\pi\) | |||||||
\(348\) | 56.6730 | − | 5.95657i | 3.03799 | − | 0.319306i | ||||
\(349\) | 7.69221 | + | 9.49909i | 0.411754 | + | 0.508474i | 0.940261 | − | 0.340455i | \(-0.110581\pi\) |
−0.528506 | + | 0.848929i | \(0.677248\pi\) | |||||||
\(350\) | −27.3475 | − | 61.4236i | −1.46179 | − | 3.28323i | ||||
\(351\) | 16.5475 | + | 4.67190i | 0.883242 | + | 0.249367i | ||||
\(352\) | −17.1455 | + | 1.80207i | −0.913861 | + | 0.0960506i | ||||
\(353\) | 19.5738 | − | 12.7114i | 1.04181 | − | 0.676557i | 0.0940552 | − | 0.995567i | \(-0.470017\pi\) |
0.947751 | + | 0.319010i | \(0.103350\pi\) | |||||||
\(354\) | −18.8834 | − | 6.13559i | −1.00364 | − | 0.326103i | ||||
\(355\) | 2.79464 | − | 3.84650i | 0.148324 | − | 0.204151i | ||||
\(356\) | 8.54119 | + | 16.7630i | 0.452682 | + | 0.888439i | ||||
\(357\) | −0.636682 | + | 12.1486i | −0.0336968 | + | 0.642973i | ||||
\(358\) | 5.23037 | + | 33.0232i | 0.276433 | + | 1.74533i | ||||
\(359\) | −24.1539 | − | 1.26585i | −1.27479 | − | 0.0668091i | −0.597108 | − | 0.802161i | \(-0.703684\pi\) |
−0.677686 | + | 0.735352i | \(0.737017\pi\) | |||||||
\(360\) | −0.496108 | − | 1.52686i | −0.0261472 | − | 0.0804727i | ||||
\(361\) | 5.04578 | + | 6.94492i | 0.265567 | + | 0.365522i | ||||
\(362\) | 23.7655 | − | 46.6425i | 1.24909 | − | 2.45147i | ||||
\(363\) | 17.7445 | − | 7.90036i | 0.931344 | − | 0.414661i | ||||
\(364\) | 58.4592 | + | 82.7671i | 3.06410 | + | 4.33818i | ||||
\(365\) | −0.457047 | + | 1.02654i | −0.0239229 | + | 0.0537318i | ||||
\(366\) | −3.46087 | + | 0.927337i | −0.180903 | + | 0.0484727i | ||||
\(367\) | − | 19.7139i | − | 1.02906i | −0.857473 | − | 0.514530i | \(-0.827967\pi\) | ||
0.857473 | − | 0.514530i | \(-0.172033\pi\) | |||||||
\(368\) | 10.1525 | + | 96.5946i | 0.529236 | + | 5.03534i | ||||
\(369\) | 0.884590 | + | 0.574459i | 0.0460499 | + | 0.0299052i | ||||
\(370\) | −2.28942 | + | 1.48677i | −0.119021 | + | 0.0772933i | ||||
\(371\) | −57.7666 | + | 15.4785i | −2.99909 | + | 0.803604i | ||||
\(372\) | −28.0754 | − | 50.2078i | −1.45564 | − | 2.60315i | ||||
\(373\) | −7.31039 | + | 12.6620i | −0.378518 | + | 0.655612i | −0.990847 | − | 0.134991i | \(-0.956899\pi\) |
0.612329 | + | 0.790603i | \(0.290233\pi\) | |||||||
\(374\) | −1.89138 | − | 1.70301i | −0.0978009 | − | 0.0880603i | ||||
\(375\) | −0.367439 | + | 7.01115i | −0.0189745 | + | 0.362054i | ||||
\(376\) | 30.3507 | + | 41.7742i | 1.56522 | + | 2.15434i | ||||
\(377\) | 19.8437 | + | 1.30622i | 1.02201 | + | 0.0672737i | ||||
\(378\) | 57.2357 | − | 33.0451i | 2.94389 | − | 1.69965i | ||||
\(379\) | −4.13501 | + | 5.10631i | −0.212401 | + | 0.262294i | −0.872201 | − | 0.489148i | \(-0.837308\pi\) |
0.659800 | + | 0.751442i | \(0.270641\pi\) | |||||||
\(380\) | −0.725834 | + | 6.90585i | −0.0372345 | + | 0.354263i | ||||
\(381\) | −31.8320 | − | 3.34567i | −1.63080 | − | 0.171404i | ||||
\(382\) | 0.761176 | + | 1.17211i | 0.0389452 | + | 0.0599703i | ||||
\(383\) | 14.3292 | − | 5.50048i | 0.732190 | − | 0.281061i | 0.0364305 | − | 0.999336i | \(-0.488401\pi\) |
0.695760 | + | 0.718275i | \(0.255068\pi\) | |||||||
\(384\) | 40.2377 | − | 78.9710i | 2.05337 | − | 4.02997i | ||||
\(385\) | −0.0717409 | + | 1.36890i | −0.00365625 | + | 0.0697655i | ||||
\(386\) | 35.1901 | + | 25.5671i | 1.79113 | + | 1.30133i | ||||
\(387\) | 1.11038 | − | 0.236019i | 0.0564439 | − | 0.0119975i | ||||
\(388\) | −14.9841 | + | 23.0735i | −0.760704 | + | 1.17138i | ||||
\(389\) | 0.534145 | − | 5.08205i | 0.0270823 | − | 0.257670i | −0.972600 | − | 0.232483i | \(-0.925315\pi\) |
0.999683 | − | 0.0251875i | \(-0.00801829\pi\) | |||||||
\(390\) | −1.01349 | − | 7.00373i | −0.0513199 | − | 0.354647i | ||||
\(391\) | −5.30092 | + | 5.88727i | −0.268079 | + | 0.297732i | ||||
\(392\) | 178.668 | + | 28.2983i | 9.02410 | + | 1.42928i | ||||
\(393\) | −0.690925 | + | 0.224495i | −0.0348526 | + | 0.0113243i | ||||
\(394\) | 2.10871 | − | 20.0631i | 0.106235 | − | 1.01076i | ||||
\(395\) | −3.10710 | + | 0.492116i | −0.156335 | + | 0.0247610i | ||||
\(396\) | 0.260757 | − | 1.64635i | 0.0131035 | − | 0.0827324i | ||||
\(397\) | −17.7180 | + | 17.7180i | −0.889243 | + | 0.889243i | −0.994450 | − | 0.105207i | \(-0.966449\pi\) |
0.105207 | + | 0.994450i | \(0.466449\pi\) | |||||||
\(398\) | −0.915961 | + | 0.245431i | −0.0459130 | + | 0.0123023i | ||||
\(399\) | 29.8774 | − | 3.14025i | 1.49574 | − | 0.157209i | ||||
\(400\) | −57.7685 | + | 52.0150i | −2.88842 | + | 2.60075i | ||||
\(401\) | 8.87290 | − | 0.465009i | 0.443091 | − | 0.0232214i | 0.170514 | − | 0.985355i | \(-0.445457\pi\) |
0.272577 | + | 0.962134i | \(0.412124\pi\) | |||||||
\(402\) | −48.9200 | −2.43991 | ||||||||
\(403\) | −6.68367 | − | 18.9296i | −0.332938 | − | 0.942949i | ||||
\(404\) | −59.9653 | −2.98338 | ||||||||
\(405\) | −3.88103 | + | 0.203396i | −0.192850 | + | 0.0101068i | ||||
\(406\) | 56.8049 | − | 51.1473i | 2.81918 | − | 2.53840i | ||||
\(407\) | −1.80936 | + | 0.190172i | −0.0896868 | + | 0.00942646i | ||||
\(408\) | 23.0567 | − | 6.17803i | 1.14148 | − | 0.305858i | ||||
\(409\) | −15.9638 | + | 15.9638i | −0.789361 | + | 0.789361i | −0.981389 | − | 0.192028i | \(-0.938493\pi\) |
0.192028 | + | 0.981389i | \(0.438493\pi\) | |||||||
\(410\) | −0.414772 | + | 2.61877i | −0.0204841 | + | 0.129332i | ||||
\(411\) | 32.2249 | − | 5.10392i | 1.58954 | − | 0.251758i | ||||
\(412\) | −8.64257 | + | 82.2285i | −0.425789 | + | 4.05111i | ||||
\(413\) | −18.6509 | + | 6.06004i | −0.917749 | + | 0.298195i | ||||
\(414\) | −6.95969 | − | 1.10231i | −0.342050 | − | 0.0541754i | ||||
\(415\) | 0.222183 | − | 0.246759i | 0.0109065 | − | 0.0121129i | ||||
\(416\) | 52.6161 | − | 70.4202i | 2.57971 | − | 3.45264i | ||||
\(417\) | 0.184850 | − | 1.75873i | 0.00905216 | − | 0.0861256i | ||||
\(418\) | −3.42311 | + | 5.27112i | −0.167430 | + | 0.257819i | ||||
\(419\) | −17.9998 | + | 3.82598i | −0.879350 | + | 0.186912i | −0.625399 | − | 0.780306i | \(-0.715064\pi\) |
−0.253951 | + | 0.967217i | \(0.581730\pi\) | |||||||
\(420\) | −16.2033 | − | 11.7724i | −0.790643 | − | 0.574435i | ||||
\(421\) | 0.427187 | − | 8.15122i | 0.0208198 | − | 0.397266i | −0.968266 | − | 0.249923i | \(-0.919595\pi\) |
0.989085 | − | 0.147343i | \(-0.0470721\pi\) | |||||||
\(422\) | −23.9506 | + | 47.0057i | −1.16590 | + | 2.28820i | ||||
\(423\) | −2.06070 | + | 0.791030i | −0.100195 | + | 0.0384612i | ||||
\(424\) | 63.9106 | + | 98.4137i | 3.10377 | + | 4.77939i | ||||
\(425\) | −6.30571 | − | 0.662757i | −0.305872 | − | 0.0321484i | ||||
\(426\) | −6.57252 | + | 62.5334i | −0.318440 | + | 3.02975i | ||||
\(427\) | −2.22706 | + | 2.75019i | −0.107775 | + | 0.133091i | ||||
\(428\) | −44.5268 | + | 25.7075i | −2.15228 | + | 1.24262i | ||||
\(429\) | 1.51728 | − | 4.46563i | 0.0732548 | − | 0.215603i | ||||
\(430\) | 1.67731 | + | 2.30862i | 0.0808872 | + | 0.111332i | ||||
\(431\) | 1.07525 | − | 20.5170i | 0.0517931 | − | 0.988271i | −0.841912 | − | 0.539615i | \(-0.818570\pi\) |
0.893705 | − | 0.448655i | \(-0.148097\pi\) | |||||||
\(432\) | −56.7835 | − | 51.1281i | −2.73200 | − | 2.45990i | ||||
\(433\) | −14.6844 | + | 25.4341i | −0.705687 | + | 1.22229i | 0.260757 | + | 0.965405i | \(0.416028\pi\) |
−0.966443 | + | 0.256881i | \(0.917305\pi\) | |||||||
\(434\) | −70.0532 | − | 32.3495i | −3.36266 | − | 1.55282i | ||||
\(435\) | −3.79676 | + | 1.01734i | −0.182041 | + | 0.0487777i | ||||
\(436\) | −26.3173 | + | 17.0907i | −1.26037 | + | 0.818494i | ||||
\(437\) | 16.4074 | + | 10.6551i | 0.784870 | + | 0.509701i | ||||
\(438\) | −1.55336 | − | 14.7792i | −0.0742223 | − | 0.706178i | ||||
\(439\) | − | 30.0111i | − | 1.43235i | −0.697920 | − | 0.716176i | \(-0.745891\pi\) | ||
0.697920 | − | 0.716176i | \(-0.254109\pi\) | |||||||
\(440\) | 2.59801 | − | 0.696136i | 0.123855 | − | 0.0331870i | ||||
\(441\) | −3.14524 | + | 7.06432i | −0.149773 | + | 0.336396i | ||||
\(442\) | 12.9233 | − | 1.18382i | 0.614696 | − | 0.0563088i | ||||
\(443\) | 17.5027 | − | 7.79269i | 0.831577 | − | 0.370242i | 0.0536215 | − | 0.998561i | \(-0.482924\pi\) |
0.777955 | + | 0.628319i | \(0.216257\pi\) | |||||||
\(444\) | 12.0681 | − | 23.6850i | 0.572726 | − | 1.12404i | ||||
\(445\) | −0.762777 | − | 1.04987i | −0.0361591 | − | 0.0497688i | ||||
\(446\) | −7.74250 | − | 23.8290i | −0.366618 | − | 1.12833i | ||||
\(447\) | 26.1513 | + | 1.37053i | 1.23692 | + | 0.0648240i | ||||
\(448\) | −27.6313 | − | 174.457i | −1.30546 | − | 8.24233i | ||||
\(449\) | 0.0437656 | − | 0.835097i | 0.00206543 | − | 0.0394107i | −0.997402 | − | 0.0720311i | \(-0.977052\pi\) |
0.999468 | + | 0.0326204i | \(0.0103852\pi\) | |||||||
\(450\) | −2.56033 | − | 5.02493i | −0.120695 | − | 0.236878i | ||||
\(451\) | −1.03866 | + | 1.42959i | −0.0489086 | + | 0.0673169i | ||||
\(452\) | 34.3987 | + | 11.1768i | 1.61798 | + | 0.525713i | ||||
\(453\) | −3.10055 | + | 2.01352i | −0.145676 | + | 0.0946033i | ||||
\(454\) | −34.3041 | + | 3.60550i | −1.60997 | + | 0.169215i | ||||
\(455\) | −4.87582 | − | 5.00798i | −0.228582 | − | 0.234778i | ||||
\(456\) | −23.9758 | − | 53.8506i | −1.12277 | − | 2.52178i | ||||
\(457\) | −10.2339 | − | 12.6378i | −0.478722 | − | 0.591173i | 0.479377 | − | 0.877609i | \(-0.340863\pi\) |
−0.958099 | + | 0.286436i | \(0.907529\pi\) | |||||||
\(458\) | −21.8820 | + | 2.29989i | −1.02248 | + | 0.107467i | ||||
\(459\) | − | 6.23234i | − | 0.290901i | ||||||
\(460\) | −3.37568 | − | 12.5982i | −0.157392 | − | 0.587395i | ||||
\(461\) | 15.9414 | + | 12.9091i | 0.742463 | + | 0.601235i | 0.924109 | − | 0.382129i | \(-0.124809\pi\) |
−0.181646 | + | 0.983364i | \(0.558142\pi\) | |||||||
\(462\) | −8.23006 | − | 16.1524i | −0.382897 | − | 0.751478i | ||||
\(463\) | 3.21228 | − | 6.30446i | 0.149288 | − | 0.292993i | −0.804237 | − | 0.594309i | \(-0.797426\pi\) |
0.953525 | + | 0.301315i | \(0.0974257\pi\) | |||||||
\(464\) | −76.5341 | − | 44.1870i | −3.55301 | − | 2.05133i | ||||
\(465\) | 2.45450 | + | 3.11762i | 0.113825 | + | 0.144576i | ||||
\(466\) | −55.5733 | − | 14.8908i | −2.57439 | − | 0.689805i | ||||
\(467\) | 14.0064 | − | 4.55096i | 0.648140 | − | 0.210593i | 0.0335459 | − | 0.999437i | \(-0.489320\pi\) |
0.614594 | + | 0.788844i | \(0.289320\pi\) | |||||||
\(468\) | 5.26001 | + | 6.67614i | 0.243144 | + | 0.308605i | ||||
\(469\) | −39.0898 | + | 28.4004i | −1.80500 | + | 1.31141i | ||||
\(470\) | −3.92351 | − | 3.92351i | −0.180978 | − | 0.180978i | ||||
\(471\) | −16.0387 | − | 9.25996i | −0.739025 | − | 0.426676i | ||||
\(472\) | 22.6174 | + | 31.1302i | 1.04105 | + | 1.43288i | ||||
\(473\) | 0.297512 | + | 1.87842i | 0.0136796 | + | 0.0863698i | ||||
\(474\) | 32.3316 | − | 26.1816i | 1.48504 | − | 1.20256i | ||||
\(475\) | 0.819457 | + | 15.6362i | 0.0375993 | + | 0.717437i | ||||
\(476\) | 23.1141 | − | 28.5435i | 1.05943 | − | 1.30829i | ||||
\(477\) | −4.77071 | + | 1.55010i | −0.218436 | + | 0.0709741i | ||||
\(478\) | −0.126298 | + | 0.388707i | −0.00577676 | + | 0.0177790i | ||||
\(479\) | 2.52111 | − | 6.56771i | 0.115192 | − | 0.300086i | −0.863848 | − | 0.503752i | \(-0.831952\pi\) |
0.979040 | + | 0.203666i | \(0.0652857\pi\) | |||||||
\(480\) | −5.36917 | + | 16.5246i | −0.245068 | + | 0.754242i | ||||
\(481\) | 5.55255 | − | 7.43142i | 0.253174 | − | 0.338843i | ||||
\(482\) | 68.3659 | + | 7.18555i | 3.11398 | + | 0.327293i | ||||
\(483\) | −50.2774 | + | 25.6176i | −2.28770 | + | 1.16564i | ||||
\(484\) | −57.3614 | − | 12.1925i | −2.60734 | − | 0.554206i | ||||
\(485\) | 0.771869 | − | 1.73365i | 0.0350487 | − | 0.0787208i | ||||
\(486\) | 10.0594 | − | 6.53268i | 0.456306 | − | 0.296328i | ||||
\(487\) | −21.2105 | − | 26.1927i | −0.961138 | − | 1.18691i | −0.982335 | − | 0.187131i | \(-0.940081\pi\) |
0.0211968 | − | 0.999775i | \(-0.493252\pi\) | |||||||
\(488\) | 6.48251 | + | 2.48840i | 0.293449 | + | 0.112645i | ||||
\(489\) | 5.86611 | + | 15.2817i | 0.265275 | + | 0.691064i | ||||
\(490\) | −19.4387 | −0.878150 | ||||||||
\(491\) | 25.2287 | 1.13856 | 0.569278 | − | 0.822145i | \(-0.307223\pi\) | ||||
0.569278 | + | 0.822145i | \(0.307223\pi\) | |||||||
\(492\) | −9.25261 | − | 24.1039i | −0.417140 | − | 1.08669i | ||||
\(493\) | −1.49867 | − | 7.05068i | −0.0674966 | − | 0.317547i | ||||
\(494\) | −7.87986 | − | 31.0636i | −0.354532 | − | 1.39762i | ||||
\(495\) | 0.114977i | 0.00516783i | ||||||||
\(496\) | −10.5424 | + | 88.5851i | −0.473366 | + | 3.97759i | ||||
\(497\) | 31.0517 | + | 53.7832i | 1.39286 | + | 2.41251i | ||||
\(498\) | −0.912995 | + | 4.29530i | −0.0409123 | + | 0.192477i | ||||
\(499\) | −8.55319 | + | 13.1708i | −0.382893 | + | 0.589604i | −0.976596 | − | 0.215080i | \(-0.930999\pi\) |
0.593703 | + | 0.804684i | \(0.297665\pi\) | |||||||
\(500\) | 13.3395 | − | 16.4729i | 0.596559 | − | 0.736689i | ||||
\(501\) | −22.4905 | − | 6.02632i | −1.00480 | − | 0.269236i | ||||
\(502\) | −16.4176 | + | 61.2712i | −0.732752 | + | 2.73467i | ||||
\(503\) | 30.0793 | − | 21.8539i | 1.34117 | − | 0.974417i | 0.341769 | − | 0.939784i | \(-0.388974\pi\) |
0.999400 | − | 0.0346329i | \(-0.0110262\pi\) | |||||||
\(504\) | 20.8553 | + | 2.19198i | 0.928968 | + | 0.0976385i | ||||
\(505\) | 4.08533 | − | 0.647053i | 0.181795 | − | 0.0287935i | ||||
\(506\) | 2.45444 | − | 11.5473i | 0.109113 | − | 0.513338i | ||||
\(507\) | 11.4631 | + | 21.1407i | 0.509094 | + | 0.938890i | ||||
\(508\) | 71.8132 | + | 64.6609i | 3.18620 | + | 2.86886i | ||||
\(509\) | 19.2172 | + | 37.7158i | 0.851785 | + | 1.67172i | 0.734483 | + | 0.678627i | \(0.237425\pi\) |
0.117302 | + | 0.993096i | \(0.462575\pi\) | |||||||
\(510\) | −2.34328 | + | 1.04329i | −0.103762 | + | 0.0461978i | ||||
\(511\) | −9.82124 | − | 10.9076i | −0.434466 | − | 0.482524i | ||||
\(512\) | −66.1508 | + | 33.7055i | −2.92348 | + | 1.48959i | ||||
\(513\) | −15.2012 | + | 2.40763i | −0.671149 | + | 0.106300i | ||||
\(514\) | 9.83603 | − | 15.1462i | 0.433849 | − | 0.668068i | ||||
\(515\) | −0.298480 | − | 5.69534i | −0.0131526 | − | 0.250967i | ||||
\(516\) | −25.3854 | − | 11.3023i | −1.11753 | − | 0.497556i | ||||
\(517\) | −1.14275 | − | 3.51701i | −0.0502580 | − | 0.154678i | ||||
\(518\) | −5.57795 | − | 35.2178i | −0.245081 | − | 1.54738i | ||||
\(519\) | 10.5754 | + | 7.68345i | 0.464207 | + | 0.337266i | ||||
\(520\) | −6.38906 | + | 12.1353i | −0.280179 | + | 0.532170i | ||||
\(521\) | −21.4686 | − | 37.1848i | −0.940558 | − | 1.62909i | −0.764410 | − | 0.644730i | \(-0.776970\pi\) |
−0.176148 | − | 0.984364i | \(-0.556364\pi\) | |||||||
\(522\) | 4.53358 | − | 4.53358i | 0.198429 | − | 0.198429i | ||||
\(523\) | −2.73530 | + | 6.14359i | −0.119606 | + | 0.268640i | −0.963420 | − | 0.267996i | \(-0.913639\pi\) |
0.843814 | + | 0.536636i | \(0.180305\pi\) | |||||||
\(524\) | 2.08599 | + | 0.677780i | 0.0911271 | + | 0.0296090i | ||||
\(525\) | −40.2394 | − | 20.5030i | −1.75619 | − | 0.894824i | ||||
\(526\) | −13.6508 | − | 50.9456i | −0.595205 | − | 2.22134i | ||||
\(527\) | −5.94490 | + | 4.19573i | −0.258964 | + | 0.182769i | ||||
\(528\) | −14.8202 | + | 14.8202i | −0.644966 | + | 0.644966i | ||||
\(529\) | −13.4456 | − | 2.85795i | −0.584591 | − | 0.124259i | ||||
\(530\) | −8.43751 | − | 9.37081i | −0.366502 | − | 0.407042i | ||||
\(531\) | −1.53564 | + | 0.589476i | −0.0666410 | + | 0.0255811i | ||||
\(532\) | −78.5492 | − | 45.3504i | −3.40554 | − | 1.96619i | ||||
\(533\) | −1.75533 | − | 8.83759i | −0.0760318 | − | 0.382799i | ||||
\(534\) | 15.6783 | + | 6.98043i | 0.678466 | + | 0.302073i | ||||
\(535\) | 2.75613 | − | 2.23187i | 0.119158 | − | 0.0964923i | ||||
\(536\) | 76.6998 | + | 55.7257i | 3.31293 | + | 2.40698i | ||||
\(537\) | 16.6893 | + | 15.0271i | 0.720197 | + | 0.648468i | ||||
\(538\) | −53.9169 | − | 43.6611i | −2.32452 | − | 1.88236i | ||||
\(539\) | −11.5432 | − | 5.88154i | −0.497200 | − | 0.253336i | ||||
\(540\) | 8.60533 | + | 5.58836i | 0.370314 | + | 0.240485i | ||||
\(541\) | 5.32641 | + | 6.57757i | 0.229000 | + | 0.282792i | 0.878675 | − | 0.477421i | \(-0.158428\pi\) |
−0.649675 | + | 0.760212i | \(0.725095\pi\) | |||||||
\(542\) | −2.65887 | + | 2.39406i | −0.114208 | + | 0.102833i | ||||
\(543\) | −7.31046 | − | 34.3930i | −0.313722 | − | 1.47595i | ||||
\(544\) | −29.7464 | − | 11.4186i | −1.27537 | − | 0.489567i | ||||
\(545\) | 1.60854 | − | 1.44833i | 0.0689021 | − | 0.0620397i | ||||
\(546\) | 88.9577 | + | 25.1156i | 3.80704 | + | 1.07485i | ||||
\(547\) | 1.79486 | + | 17.0770i | 0.0767427 | + | 0.730158i | 0.963461 | + | 0.267848i | \(0.0863126\pi\) |
−0.886718 | + | 0.462310i | \(0.847021\pi\) | |||||||
\(548\) | −87.7676 | − | 44.7198i | −3.74924 | − | 1.91034i | ||||
\(549\) | −0.174471 | + | 0.240138i | −0.00744623 | + | 0.0102489i | ||||
\(550\) | 8.63145 | − | 3.84297i | 0.368046 | − | 0.163865i | ||||
\(551\) | −16.6182 | + | 6.37914i | −0.707961 | + | 0.271761i | ||||
\(552\) | 78.2903 | + | 78.2903i | 3.33226 | + | 3.33226i | ||||
\(553\) | 10.6350 | − | 39.6905i | 0.452248 | − | 1.68781i | ||||
\(554\) | −17.2272 | − | 2.72851i | −0.731912 | − | 0.115923i | ||||
\(555\) | −0.566607 | + | 1.74384i | −0.0240511 | + | 0.0740217i | ||||
\(556\) | −3.57255 | + | 3.96772i | −0.151510 | + | 0.168269i | ||||
\(557\) | −0.821003 | + | 3.06403i | −0.0347870 | + | 0.129827i | −0.981136 | − | 0.193320i | \(-0.938074\pi\) |
0.946349 | + | 0.323147i | \(0.104741\pi\) | |||||||
\(558\) | −6.00982 | − | 2.40215i | −0.254416 | − | 0.101691i | ||||
\(559\) | −8.06155 | − | 5.38983i | −0.340967 | − | 0.227966i | ||||
\(560\) | 9.59825 | + | 29.5404i | 0.405600 | + | 1.24831i | ||||
\(561\) | −1.70716 | − | 0.0894686i | −0.0720765 | − | 0.00377737i | ||||
\(562\) | 23.5916 | + | 10.5036i | 0.995151 | + | 0.443070i | ||||
\(563\) | 25.0084 | − | 14.4386i | 1.05398 | − | 0.608515i | 0.130218 | − | 0.991485i | \(-0.458432\pi\) |
0.923761 | + | 0.382970i | \(0.125099\pi\) | |||||||
\(564\) | 52.1906 | + | 13.9844i | 2.19762 | + | 0.588850i | ||||
\(565\) | −2.46412 | − | 0.390279i | −0.103667 | − | 0.0164192i | ||||
\(566\) | −1.62942 | + | 4.24480i | −0.0684898 | + | 0.178422i | ||||
\(567\) | 18.1920 | − | 47.3917i | 0.763990 | − | 1.99026i | ||||
\(568\) | 81.5376 | − | 90.5567i | 3.42124 | − | 3.79968i | ||||
\(569\) | 9.76301 | − | 7.09324i | 0.409287 | − | 0.297364i | −0.364026 | − | 0.931389i | \(-0.618598\pi\) |
0.773313 | + | 0.634024i | \(0.218598\pi\) | |||||||
\(570\) | 3.44992 | + | 5.31241i | 0.144501 | + | 0.222512i | ||||
\(571\) | −24.6465 | − | 27.3727i | −1.03142 | − | 1.14551i | −0.989225 | − | 0.146401i | \(-0.953231\pi\) |
−0.0421970 | − | 0.999109i | \(-0.513436\pi\) | |||||||
\(572\) | −11.6307 | + | 8.21488i | −0.486304 | + | 0.343481i | ||||
\(573\) | 0.892788 | + | 0.290084i | 0.0372968 | + | 0.0121184i | ||||
\(574\) | −29.0454 | − | 18.8623i | −1.21233 | − | 0.787296i | ||||
\(575\) | −11.9620 | − | 26.8670i | −0.498848 | − | 1.12043i | ||||
\(576\) | −3.08029 | − | 14.4916i | −0.128346 | − | 0.603819i | ||||
\(577\) | −8.96146 | + | 0.469650i | −0.373070 | + | 0.0195518i | −0.237950 | − | 0.971277i | \(-0.576475\pi\) |
−0.135120 | + | 0.990829i | \(0.543142\pi\) | |||||||
\(578\) | 15.0930 | + | 39.3185i | 0.627784 | + | 1.63543i | ||||
\(579\) | 29.1765 | − | 1.52908i | 1.21253 | − | 0.0635462i | ||||
\(580\) | 11.0791 | + | 4.25285i | 0.460033 | + | 0.176590i | ||||
\(581\) | 1.76409 | + | 3.96222i | 0.0731869 | + | 0.164380i | ||||
\(582\) | 2.62334 | + | 24.9594i | 0.108741 | + | 1.03460i | ||||
\(583\) | −2.17509 | − | 8.11755i | −0.0900830 | − | 0.336194i | ||||
\(584\) | −14.3998 | + | 24.9412i | −0.595869 | + | 1.03207i | ||||
\(585\) | −0.430394 | − | 0.398076i | −0.0177946 | − | 0.0164584i | ||||
\(586\) | 4.56881 | − | 0.971131i | 0.188736 | − | 0.0401171i | ||||
\(587\) | 1.63784 | + | 31.2519i | 0.0676011 | + | 1.28991i | 0.796229 | + | 0.604995i | \(0.206825\pi\) |
−0.728628 | + | 0.684910i | \(0.759842\pi\) | |||||||
\(588\) | 163.929 | − | 94.6444i | 6.76031 | − | 3.90307i | ||||
\(589\) | 12.5303 | + | 12.8792i | 0.516303 | + | 0.530680i | ||||
\(590\) | −2.92381 | − | 2.92381i | −0.120371 | − | 0.120371i | ||||
\(591\) | −7.38002 | − | 11.3642i | −0.303573 | − | 0.467462i | ||||
\(592\) | −36.7312 | + | 18.7155i | −1.50964 | + | 0.769202i | ||||
\(593\) | −5.71422 | + | 36.0782i | −0.234655 | + | 1.48155i | 0.535955 | + | 0.844247i | \(0.319952\pi\) |
−0.770610 | + | 0.637307i | \(0.780048\pi\) | |||||||
\(594\) | 4.64360 | + | 8.04295i | 0.190529 | + | 0.330006i | ||||
\(595\) | −1.26672 | + | 2.19403i | −0.0519306 | + | 0.0899464i | ||||
\(596\) | −61.4433 | − | 49.7558i | −2.51681 | − | 2.03808i | ||||
\(597\) | −0.374384 | + | 0.515295i | −0.0153225 | + | 0.0210896i | ||||
\(598\) | 34.7271 | + | 49.1669i | 1.42010 | + | 2.01059i | ||||
\(599\) | 4.21872 | + | 0.896716i | 0.172372 | + | 0.0366388i | 0.293289 | − | 0.956024i | \(-0.405250\pi\) |
−0.120917 | + | 0.992663i | \(0.538583\pi\) | |||||||
\(600\) | −13.8623 | + | 87.5229i | −0.565925 | + | 3.57311i | ||||
\(601\) | −5.72400 | + | 26.9293i | −0.233487 | + | 1.09847i | 0.692648 | + | 0.721276i | \(0.256444\pi\) |
−0.926135 | + | 0.377193i | \(0.876889\pi\) | |||||||
\(602\) | −36.4592 | + | 7.74965i | −1.48597 | + | 0.315852i | ||||
\(603\) | −3.14958 | + | 2.55048i | −0.128261 | + | 0.103863i | ||||
\(604\) | 11.1464 | + | 0.584156i | 0.453539 | + | 0.0237690i | ||||
\(605\) | 4.03950 | + | 0.211701i | 0.164229 | + | 0.00860687i | ||||
\(606\) | −42.5108 | + | 34.4246i | −1.72688 | + | 1.39840i | ||||
\(607\) | −11.6515 | + | 2.47660i | −0.472920 | + | 0.100522i | −0.438205 | − | 0.898875i | \(-0.644386\pi\) |
−0.0347150 | + | 0.999397i | \(0.511052\pi\) | |||||||
\(608\) | −16.3594 | + | 76.9650i | −0.663462 | + | 3.12134i | ||||
\(609\) | 8.03175 | − | 50.7105i | 0.325463 | − | 2.05489i | ||||
\(610\) | −0.729853 | − | 0.155135i | −0.0295509 | − | 0.00628123i | ||||
\(611\) | 17.1217 | + | 7.89904i | 0.692670 | + | 0.319561i | ||||
\(612\) | 1.81079 | − | 2.49233i | 0.0731967 | − | 0.100747i | ||||
\(613\) | 3.44080 | + | 2.78630i | 0.138972 | + | 0.112538i | 0.696286 | − | 0.717764i | \(-0.254835\pi\) |
−0.557314 | + | 0.830302i | \(0.688168\pi\) | |||||||
\(614\) | −36.6640 | + | 63.5039i | −1.47964 | + | 2.56281i | ||||
\(615\) | 0.890456 | + | 1.54232i | 0.0359067 | + | 0.0621922i | ||||
\(616\) | −5.49589 | + | 34.6997i | −0.221436 | + | 1.39809i | ||||
\(617\) | −6.00866 | + | 3.06157i | −0.241900 | + | 0.123254i | −0.570738 | − | 0.821132i | \(-0.693343\pi\) |
0.328838 | + | 0.944386i | \(0.393343\pi\) | |||||||
\(618\) | 41.0784 | + | 63.2553i | 1.65242 | + | 2.54450i | ||||
\(619\) | −2.48409 | − | 2.48409i | −0.0998441 | − | 0.0998441i | 0.655420 | − | 0.755264i | \(-0.272492\pi\) |
−0.755264 | + | 0.655420i | \(0.772492\pi\) | |||||||
\(620\) | −0.462636 | − | 11.9706i | −0.0185799 | − | 0.480752i | ||||
\(621\) | 25.0352 | − | 14.4541i | 1.00463 | − | 0.580022i | ||||
\(622\) | −3.46378 | − | 66.0929i | −0.138885 | − | 2.65008i | ||||
\(623\) | 16.5803 | − | 3.52425i | 0.664275 | − | 0.141196i | ||||
\(624\) | −4.16568 | − | 106.787i | −0.166761 | − | 4.27491i | ||||
\(625\) | 11.3979 | − | 19.7418i | 0.455917 | − | 0.789671i | ||||
\(626\) | −8.64109 | − | 32.2490i | −0.345368 | − | 1.28893i | ||||
\(627\) | 0.441278 | + | 4.19848i | 0.0176229 | + | 0.167671i | ||||
\(628\) | 22.7423 | + | 51.0800i | 0.907517 | + | 2.03832i | ||||
\(629\) | −3.13912 | − | 1.20500i | −0.125165 | − | 0.0480463i | ||||
\(630\) | −2.25033 | + | 0.117935i | −0.0896552 | + | 0.00469863i | ||||
\(631\) | 1.70088 | + | 4.43094i | 0.0677109 | + | 0.176393i | 0.963261 | − | 0.268569i | \(-0.0865506\pi\) |
−0.895550 | + | 0.444962i | \(0.853217\pi\) | |||||||
\(632\) | −80.5153 | + | 4.21963i | −3.20273 | + | 0.167848i | ||||
\(633\) | 7.36740 | + | 34.6609i | 0.292828 | + | 1.37765i | ||||
\(634\) | −1.85262 | − | 4.16105i | −0.0735769 | − | 0.165256i | ||||
\(635\) | −5.59023 | − | 3.63034i | −0.221842 | − | 0.144066i | ||||
\(636\) | 116.780 | + | 37.9441i | 4.63062 | + | 1.50458i | ||||
\(637\) | 61.9815 | − | 22.8464i | 2.45580 | − | 0.905208i | ||||
\(638\) | 7.18739 | + | 7.98241i | 0.284552 | + | 0.316026i | ||||
\(639\) | 2.83706 | + | 4.36869i | 0.112232 | + | 0.172823i | ||||
\(640\) | 14.9325 | − | 10.8491i | 0.590260 | − | 0.428849i | ||||
\(641\) | 30.8977 | − | 34.3154i | 1.22039 | − | 1.35538i | 0.305229 | − | 0.952279i | \(-0.401267\pi\) |
0.915157 | − | 0.403097i | \(-0.132066\pi\) | |||||||
\(642\) | −16.8080 | + | 43.7864i | −0.663360 | + | 1.72811i | ||||
\(643\) | −11.0964 | + | 28.9071i | −0.437600 | + | 1.13999i | 0.520578 | + | 0.853814i | \(0.325716\pi\) |
−0.958178 | + | 0.286172i | \(0.907617\pi\) | |||||||
\(644\) | 168.265 | + | 26.6505i | 6.63057 | + | 1.05018i | ||||
\(645\) | 1.85142 | + | 0.496086i | 0.0728995 | + | 0.0195334i | ||||
\(646\) | −10.0598 | + | 5.80801i | −0.395796 | + | 0.228513i | ||||
\(647\) | 5.63514 | + | 2.50893i | 0.221540 | + | 0.0986361i | 0.514506 | − | 0.857487i | \(-0.327975\pi\) |
−0.292965 | + | 0.956123i | \(0.594642\pi\) | |||||||
\(648\) | −99.4686 | − | 5.21293i | −3.90749 | − | 0.204783i | ||||
\(649\) | −0.851576 | − | 2.62088i | −0.0334273 | − | 0.102879i | ||||
\(650\) | −15.4986 | + | 45.6154i | −0.607905 | + | 1.78918i | ||||
\(651\) | −50.2418 | + | 12.7255i | −1.96913 | + | 0.498751i | ||||
\(652\) | 12.7908 | − | 47.7361i | 0.500928 | − | 1.86949i | ||||
\(653\) | −1.07131 | + | 1.18981i | −0.0419234 | + | 0.0465607i | −0.763742 | − | 0.645522i | \(-0.776640\pi\) |
0.721818 | + | 0.692083i | \(0.243307\pi\) | |||||||
\(654\) | −8.84564 | + | 27.2241i | −0.345892 | + | 1.06455i | ||||
\(655\) | −0.149429 | − | 0.0236672i | −0.00583866 | − | 0.000924753i | ||||
\(656\) | −10.3632 | + | 38.6760i | −0.404615 | + | 1.51004i | ||||
\(657\) | −0.870532 | − | 0.870532i | −0.0339627 | − | 0.0339627i | ||||
\(658\) | 67.6628 | − | 25.9733i | 2.63777 | − | 1.01255i | ||||
\(659\) | −31.2020 | + | 13.8920i | −1.21546 | + | 0.541157i | −0.911410 | − | 0.411499i | \(-0.865005\pi\) |
−0.304049 | + | 0.952656i | \(0.598339\pi\) | |||||||
\(660\) | 1.65430 | − | 2.27695i | 0.0643935 | − | 0.0886301i | ||||
\(661\) | −12.1570 | − | 6.19433i | −0.472854 | − | 0.240931i | 0.201289 | − | 0.979532i | \(-0.435487\pi\) |
−0.674143 | + | 0.738601i | \(0.735487\pi\) | |||||||
\(662\) | −0.852997 | − | 8.11572i | −0.0331527 | − | 0.315427i | ||||
\(663\) | 6.24549 | − | 6.08068i | 0.242555 | − | 0.236154i | ||||
\(664\) | 6.32430 | − | 5.69443i | 0.245431 | − | 0.220987i | ||||
\(665\) | 5.84077 | + | 2.24206i | 0.226495 | + | 0.0869434i | ||||
\(666\) | −0.621820 | − | 2.92543i | −0.0240951 | − | 0.113358i | ||||
\(667\) | 24.8467 | − | 22.3721i | 0.962069 | − | 0.866251i | ||||
\(668\) | 44.2394 | + | 54.6311i | 1.71167 | + | 2.11374i | ||||
\(669\) | −14.1142 | − | 9.16585i | −0.545686 | − | 0.354372i | ||||
\(670\) | −9.07731 | − | 4.62512i | −0.350687 | − | 0.178684i | ||||
\(671\) | −0.386466 | − | 0.312954i | −0.0149193 | − | 0.0120814i | ||||
\(672\) | −168.658 | − | 151.860i | −6.50612 | − | 5.85814i | ||||
\(673\) | −26.2765 | − | 19.0910i | −1.01289 | − | 0.735905i | −0.0480737 | − | 0.998844i | \(-0.515308\pi\) |
−0.964812 | + | 0.262939i | \(0.915308\pi\) | |||||||
\(674\) | −68.4216 | + | 55.4067i | −2.63550 | + | 2.13419i | ||||
\(675\) | 21.1363 | + | 9.41050i | 0.813538 | + | 0.362210i | ||||
\(676\) | 9.51731 | − | 71.9791i | 0.366050 | − | 2.76843i | ||||
\(677\) | −33.7001 | − | 19.4568i | −1.29520 | − | 0.747785i | −0.315630 | − | 0.948882i | \(-0.602216\pi\) |
−0.979571 | + | 0.201098i | \(0.935549\pi\) | |||||||
\(678\) | 30.8024 | − | 11.8239i | 1.18296 | − | 0.454095i | ||||
\(679\) | 16.5863 | + | 18.4209i | 0.636523 | + | 0.706931i | ||||
\(680\) | 4.86236 | + | 1.03353i | 0.186463 | + | 0.0396340i | ||||
\(681\) | −16.3826 | + | 16.3826i | −0.627781 | + | 0.627781i | ||||
\(682\) | 4.54585 | − | 9.84410i | 0.174070 | − | 0.376950i | ||||
\(683\) | −4.03156 | − | 15.0460i | −0.154263 | − | 0.575718i | −0.999167 | − | 0.0408004i | \(-0.987009\pi\) |
0.844904 | − | 0.534918i | \(-0.179657\pi\) | |||||||
\(684\) | −6.77854 | − | 3.45384i | −0.259184 | − | 0.132061i | ||||
\(685\) | 6.46200 | + | 2.09963i | 0.246900 | + | 0.0802228i | ||||
\(686\) | 63.8156 | − | 143.332i | 2.43649 | − | 5.47245i | ||||
\(687\) | −10.4502 | + | 10.4502i | −0.398698 | + | 0.398698i | ||||
\(688\) | 21.5469 | + | 37.3204i | 0.821470 | + | 1.42283i | ||||
\(689\) | 37.9171 | + | 19.9627i | 1.44453 | + | 0.760520i | ||||
\(690\) | −9.62543 | − | 6.99328i | −0.366434 | − | 0.266230i | ||||
\(691\) | 4.14679 | + | 26.1818i | 0.157751 | + | 0.996002i | 0.931825 | + | 0.362907i | \(0.118216\pi\) |
−0.774074 | + | 0.633095i | \(0.781784\pi\) | |||||||
\(692\) | −12.1956 | − | 37.5341i | −0.463606 | − | 1.42683i | ||||
\(693\) | −1.37198 | − | 0.610847i | −0.0521174 | − | 0.0232041i | ||||
\(694\) | 4.68491 | + | 89.3934i | 0.177837 | + | 3.39333i | ||||
\(695\) | 0.200578 | − | 0.308863i | 0.00760837 | − | 0.0117159i | ||||
\(696\) | −99.5013 | + | 15.7595i | −3.77159 | + | 0.597361i | ||||
\(697\) | −2.90992 | + | 1.48268i | −0.110221 | + | 0.0561604i | ||||
\(698\) | −22.5252 | − | 25.0168i | −0.852592 | − | 0.946900i | ||||
\(699\) | −35.3036 | + | 15.7182i | −1.33530 | + | 0.594515i | ||||
\(700\) | 61.9012 | + | 121.488i | 2.33965 | + | 4.59182i | ||||
\(701\) | −7.98442 | − | 7.18920i | −0.301567 | − | 0.271532i | 0.504429 | − | 0.863453i | \(-0.331703\pi\) |
−0.805996 | + | 0.591921i | \(0.798370\pi\) | |||||||
\(702\) | −46.1844 | − | 10.4641i | −1.74312 | − | 0.394942i | ||||
\(703\) | −1.72640 | + | 8.12208i | −0.0651125 | + | 0.306330i | ||||
\(704\) | 24.5153 | − | 3.88284i | 0.923956 | − | 0.146340i | ||||
\(705\) | −3.70655 | − | 0.389574i | −0.139597 | − | 0.0146722i | ||||
\(706\) | −52.0020 | + | 37.7816i | −1.95712 | + | 1.42193i | ||||
\(707\) | −13.9834 | + | 52.1866i | −0.525898 | + | 1.96268i | ||||
\(708\) | 38.8925 | + | 10.4212i | 1.46167 | + | 0.391653i | ||||
\(709\) | 18.0435 | − | 22.2818i | 0.677637 | − | 0.836812i | −0.316080 | − | 0.948733i | \(-0.602367\pi\) |
0.993717 | + | 0.111920i | \(0.0357002\pi\) | |||||||
\(710\) | −7.13174 | + | 10.9819i | −0.267649 | + | 0.412144i | ||||
\(711\) | 0.716582 | − | 3.37125i | 0.0268739 | − | 0.126432i | ||||
\(712\) | −16.6299 | − | 28.8038i | −0.623230 | − | 1.07947i | ||||
\(713\) | −30.6416 | − | 14.1498i | −1.14754 | − | 0.529915i | ||||
\(714\) | − | 33.5044i | − | 1.25387i | ||||||
\(715\) | 0.703738 | − | 0.685166i | 0.0263183 | − | 0.0256238i | ||||
\(716\) | −14.0970 | − | 66.3211i | −0.526829 | − | 2.47853i | ||||
\(717\) | 0.0983808 | + | 0.256291i | 0.00367410 | + | 0.00957135i | ||||
\(718\) | 66.6134 | 2.48599 | ||||||||
\(719\) | 21.5162 | 0.802420 | 0.401210 | − | 0.915986i | \(-0.368590\pi\) | ||||
0.401210 | + | 0.915986i | \(0.368590\pi\) | |||||||
\(720\) | 0.933648 | + | 2.43223i | 0.0347950 | + | 0.0906440i | ||||
\(721\) | 69.5465 | + | 26.6964i | 2.59005 | + | 0.994226i | ||||
\(722\) | −14.8785 | − | 18.3735i | −0.553722 | − | 0.683790i | ||||
\(723\) | 38.7242 | − | 25.1478i | 1.44017 | − | 0.935256i | ||||
\(724\) | −43.1779 | + | 96.9791i | −1.60469 | + | 3.60420i | ||||
\(725\) | 26.1746 | + | 5.56357i | 0.972098 | + | 0.206626i | ||||
\(726\) | −47.6643 | + | 24.2862i | −1.76899 | + | 0.901345i | ||||
\(727\) | −9.66935 | − | 1.01629i | −0.358616 | − | 0.0376921i | −0.0764927 | − | 0.997070i | \(-0.524372\pi\) |
−0.282124 | + | 0.959378i | \(0.591039\pi\) | |||||||
\(728\) | −110.864 | − | 140.711i | −4.10888 | − | 5.21510i | ||||
\(729\) | −6.86255 | + | 21.1208i | −0.254169 | + | 0.782250i | ||||
\(730\) | 1.10906 | − | 2.88920i | 0.0410482 | − | 0.106934i | ||||
\(731\) | −1.08618 | + | 3.34291i | −0.0401737 | + | 0.123642i | ||||
\(732\) | 6.91027 | − | 2.24528i | 0.255411 | − | 0.0829881i | ||||
\(733\) | 15.0971 | − | 18.6434i | 0.557624 | − | 0.688609i | −0.417902 | − | 0.908492i | \(-0.637234\pi\) |
0.975526 | + | 0.219884i | \(0.0705677\pi\) | |||||||
\(734\) | 2.84153 | + | 54.2197i | 0.104883 | + | 2.00128i | ||||
\(735\) | −10.1469 | + | 8.21683i | −0.374275 | + | 0.303082i | ||||
\(736\) | −23.1198 | − | 145.973i | −0.852207 | − | 5.38062i | ||||
\(737\) | −3.99091 | − | 5.49302i | −0.147007 | − | 0.202338i | ||||
\(738\) | −2.51571 | − | 1.45244i | −0.0926045 | − | 0.0534652i | ||||
\(739\) | −25.6122 | − | 25.6122i | −0.942159 | − | 0.942159i | 0.0562572 | − | 0.998416i | \(-0.482083\pi\) |
−0.998416 | + | 0.0562572i | \(0.982083\pi\) | |||||||
\(740\) | 4.47857 | − | 3.25387i | 0.164635 | − | 0.119615i | ||||
\(741\) | −17.2440 | − | 12.8842i | −0.633474 | − | 0.473314i | ||||
\(742\) | 156.646 | − | 50.8972i | 5.75064 | − | 1.86850i | ||||
\(743\) | 4.01385 | + | 1.07551i | 0.147254 | + | 0.0394565i | 0.331693 | − | 0.943387i | \(-0.392380\pi\) |
−0.184439 | + | 0.982844i | \(0.559047\pi\) | |||||||
\(744\) | 54.2106 | + | 86.0409i | 1.98746 | + | 3.15441i | ||||
\(745\) | 4.72291 | + | 2.72677i | 0.173034 | + | 0.0999013i | ||||
\(746\) | 18.2808 | − | 35.8782i | 0.669309 | − | 1.31359i | ||||
\(747\) | 0.165158 | + | 0.324140i | 0.00604281 | + | 0.0118597i | ||||
\(748\) | 4.01102 | + | 3.24806i | 0.146658 | + | 0.118761i | ||||
\(749\) | 11.9895 | + | 44.7455i | 0.438088 | + | 1.63497i | ||||
\(750\) | − | 19.3359i | − | 0.706046i | ||||||
\(751\) | −14.1769 | + | 1.49005i | −0.517321 | + | 0.0543726i | −0.359592 | − | 0.933110i | \(-0.617084\pi\) |
−0.157729 | + | 0.987482i | \(0.550417\pi\) | |||||||
\(752\) | −52.7330 | − | 65.1199i | −1.92298 | − | 2.37468i | ||||
\(753\) | 17.3297 | + | 38.9232i | 0.631530 | + | 1.41844i | ||||
\(754\) | −54.7650 | − | 0.732278i | −1.99442 | − | 0.0266680i | ||||
\(755\) | −0.765686 | + | 0.0804768i | −0.0278662 | + | 0.00292885i | ||||
\(756\) | −112.402 | + | 72.9949i | −4.08803 | + | 2.65480i | ||||
\(757\) | −9.29705 | − | 3.02079i | −0.337907 | − | 0.109793i | 0.135148 | − | 0.990825i | \(-0.456849\pi\) |
−0.473055 | + | 0.881033i | \(0.656849\pi\) | |||||||
\(758\) | 10.6366 | − | 14.6400i | 0.386339 | − | 0.531749i | ||||
\(759\) | −3.59987 | − | 7.06514i | −0.130667 | − | 0.256448i | ||||
\(760\) | 0.642466 | − | 12.2590i | 0.0233047 | − | 0.444680i | ||||
\(761\) | 3.24808 | + | 20.5076i | 0.117743 | + | 0.743400i | 0.973949 | + | 0.226766i | \(0.0728152\pi\) |
−0.856206 | + | 0.516634i | \(0.827185\pi\) | |||||||
\(762\) | 88.0303 | + | 4.61347i | 3.18900 | + | 0.167129i | ||||
\(763\) | 8.73671 | + | 26.8888i | 0.316290 | + | 0.973441i | ||||
\(764\) | −1.66588 | − | 2.29288i | −0.0602693 | − | 0.0829535i | ||||
\(765\) | −0.0964723 | + | 0.189338i | −0.00348796 | + | 0.00684551i | ||||
\(766\) | −38.6172 | + | 17.1935i | −1.39530 | + | 0.621226i | ||||
\(767\) | 12.7591 | + | 5.88637i | 0.460705 | + | 0.212545i | ||||
\(768\) | −46.4619 | + | 104.355i | −1.67655 | + | 3.76559i | ||||
\(769\) | 0.886081 | − | 0.237425i | 0.0319529 | − | 0.00856176i | −0.242807 | − | 0.970075i | \(-0.578068\pi\) |
0.274760 | + | 0.961513i | \(0.411402\pi\) | |||||||
\(770\) | − | 3.77525i | − | 0.136051i | ||||||
\(771\) | −1.26798 | − | 12.0640i | −0.0456651 | − | 0.434474i | ||||
\(772\) | −73.9779 | − | 48.0418i | −2.66252 | − | 1.72906i | ||||
\(773\) | 6.67892 | − | 4.33734i | 0.240224 | − | 0.156003i | −0.418912 | − | 0.908027i | \(-0.637589\pi\) |
0.659137 | + | 0.752023i | \(0.270922\pi\) | |||||||
\(774\) | −3.01989 | + | 0.809177i | −0.108548 | + | 0.0290853i | ||||
\(775\) | −5.25288 | − | 26.4968i | −0.188689 | − | 0.951795i | ||||
\(776\) | 24.3187 | − | 42.1211i | 0.872989 | − | 1.51206i | ||||
\(777\) | −17.7984 | − | 16.0257i | −0.638514 | − | 0.574921i | ||||
\(778\) | −0.736553 | + | 14.0543i | −0.0264067 | + | 0.503870i | ||||
\(779\) | 4.74051 | + | 6.52475i | 0.169846 | + | 0.233774i | ||||
\(780\) | 2.79576 | + | 14.0759i | 0.100104 | + | 0.503997i | ||||
\(781\) | −7.55779 | + | 4.36349i | −0.270439 | + | 0.156138i | ||||
\(782\) | 13.7307 | − | 16.9560i | 0.491007 | − | 0.606344i | ||||
\(783\) | −2.74942 | + | 26.1590i | −0.0982562 | + | 0.934845i | ||||
\(784\) | −291.945 | − | 30.6847i | −10.4266 | − | 1.09588i | ||||
\(785\) | −2.10057 | − | 3.23460i | −0.0749726 | − | 0.115448i | ||||
\(786\) | 1.86791 | − | 0.717023i | 0.0666261 | − | 0.0255753i | ||||
\(787\) | 14.3025 | − | 28.0703i | 0.509830 | − | 1.00060i | −0.482373 | − | 0.875966i | \(-0.660225\pi\) |
0.992203 | − | 0.124632i | \(-0.0397752\pi\) | |||||||
\(788\) | −2.14107 | + | 40.8540i | −0.0762724 | + | 1.45536i | ||||
\(789\) | −28.6607 | − | 20.8232i | −1.02035 | − | 0.741325i | ||||
\(790\) | 8.47458 | − | 1.80133i | 0.301512 | − | 0.0640883i | ||||
\(791\) | 17.7484 | − | 27.3302i | 0.631061 | − | 0.971749i | ||||
\(792\) | −0.308024 | + | 2.93065i | −0.0109452 | + | 0.104136i | ||||
\(793\) | 2.50951 | − | 0.363143i | 0.0891154 | − | 0.0128956i | ||||
\(794\) | 46.1765 | − | 51.2842i | 1.63874 | − | 1.82001i | ||||
\(795\) | −8.36544 | − | 1.32496i | −0.296692 | − | 0.0469914i | ||||
\(796\) | 1.82889 | − | 0.594241i | 0.0648232 | − | 0.0210623i | ||||
\(797\) | −2.58581 | + | 24.6023i | −0.0915941 | + | 0.871460i | 0.848190 | + | 0.529692i | \(0.177692\pi\) |
−0.939784 | + | 0.341768i | \(0.888974\pi\) | |||||||
\(798\) | −81.7199 | + | 12.9432i | −2.89285 | + | 0.458183i | ||||
\(799\) | 1.06917 | − | 6.75045i | 0.0378244 | − | 0.238814i | ||||
\(800\) | 83.6403 | − | 83.6403i | 2.95713 | − | 2.95713i | ||||
\(801\) | 1.37333 | − | 0.367983i | 0.0485243 | − | 0.0130020i | ||||
\(802\) | −24.3363 | + | 2.55785i | −0.859344 | + | 0.0903207i | ||||
\(803\) | 1.53277 | − | 1.38011i | 0.0540903 | − | 0.0487031i | ||||
\(804\) | 99.0692 | − | 5.19200i | 3.49390 | − | 0.183108i | ||||
\(805\) | −11.7512 | −0.414174 | ||||||||
\(806\) | 21.1107 | + | 51.0990i | 0.743594 | + | 1.79989i | ||||
\(807\) | −46.6002 | −1.64041 | ||||||||
\(808\) | 105.865 | − | 5.54813i | 3.72431 | − | 0.195183i | ||||
\(809\) | 6.61413 | − | 5.95539i | 0.232540 | − | 0.209380i | −0.544620 | − | 0.838683i | \(-0.683326\pi\) |
0.777160 | + | 0.629303i | \(0.216659\pi\) | |||||||
\(810\) | 10.6447 | − | 1.11881i | 0.374018 | − | 0.0393109i | ||||
\(811\) | 24.3942 | − | 6.53639i | 0.856595 | − | 0.229524i | 0.196312 | − | 0.980541i | \(-0.437103\pi\) |
0.660282 | + | 0.751018i | \(0.270437\pi\) | |||||||
\(812\) | −109.609 | + | 109.609i | −3.84651 | + | 3.84651i | ||||
\(813\) | −0.375942 | + | 2.37361i | −0.0131849 | + | 0.0832460i | ||||
\(814\) | 4.94892 | − | 0.783831i | 0.173459 | − | 0.0274733i | ||||
\(815\) | −0.356324 | + | 3.39020i | −0.0124815 | + | 0.118753i | ||||
\(816\) | −36.8400 | + | 11.9701i | −1.28966 | + | 0.419036i | ||||
\(817\) | 8.57323 | + | 1.35787i | 0.299939 | + | 0.0475057i | ||||
\(818\) | 41.6047 | − | 46.2067i | 1.45467 | − | 1.61558i | ||||
\(819\) | 7.03670 | − | 3.02087i | 0.245882 | − | 0.105558i | ||||
\(820\) | 0.562030 | − | 5.34735i | 0.0196269 | − | 0.186738i | ||||
\(821\) | −24.1226 | + | 37.1456i | −0.841886 | + | 1.29639i | 0.111232 | + | 0.993794i | \(0.464520\pi\) |
−0.953119 | + | 0.302597i | \(0.902146\pi\) | |||||||
\(822\) | −87.8931 | + | 18.6822i | −3.06562 | + | 0.651618i | ||||
\(823\) | −4.99842 | − | 3.63156i | −0.174234 | − | 0.126588i | 0.497250 | − | 0.867607i | \(-0.334343\pi\) |
−0.671484 | + | 0.741019i | \(0.734343\pi\) | |||||||
\(824\) | 7.64989 | − | 145.969i | 0.266497 | − | 5.08506i | ||||
\(825\) | 2.88115 | − | 5.65457i | 0.100309 | − | 0.196867i | ||||
\(826\) | 50.4224 | − | 19.3553i | 1.75442 | − | 0.673459i | ||||
\(827\) | 19.7683 | + | 30.4405i | 0.687411 | + | 1.05852i | 0.994284 | + | 0.106770i | \(0.0340508\pi\) |
−0.306873 | + | 0.951751i | \(0.599283\pi\) | |||||||
\(828\) | 14.2112 | + | 1.49366i | 0.493875 | + | 0.0519083i | ||||
\(829\) | 0.241674 | − | 2.29937i | 0.00839368 | − | 0.0798605i | −0.989523 | − | 0.144374i | \(-0.953883\pi\) |
0.997917 | + | 0.0645139i | \(0.0205497\pi\) | |||||||
\(830\) | −0.575507 | + | 0.710692i | −0.0199761 | + | 0.0246685i | ||||
\(831\) | −10.1459 | + | 5.85773i | −0.351957 | + | 0.203202i | ||||
\(832\) | −70.3429 | + | 105.212i | −2.43870 | + | 3.64756i | ||||
\(833\) | −14.0737 | − | 19.3708i | −0.487625 | − | 0.671158i | ||||
\(834\) | −0.254897 | + | 4.86373i | −0.00882636 | + | 0.168417i | ||||
\(835\) | −3.60345 | − | 3.24456i | −0.124703 | − | 0.112283i | ||||
\(836\) | 6.37279 | − | 11.0380i | 0.220407 | − | 0.381757i | ||||
\(837\) | 25.3627 | − | 7.85748i | 0.876662 | − | 0.271594i | ||||
\(838\) | 48.9539 | − | 13.1171i | 1.69108 | − | 0.453124i | ||||
\(839\) | −18.8578 | + | 12.2464i | −0.651043 | + | 0.422792i | −0.827461 | − | 0.561523i | \(-0.810216\pi\) |
0.176418 | + | 0.984315i | \(0.443549\pi\) | |||||||
\(840\) | 29.6951 | + | 19.2843i | 1.02458 | + | 0.665370i | ||||
\(841\) | 0.148596 | + | 1.41380i | 0.00512400 | + | 0.0487516i | ||||
\(842\) | 22.4800i | 0.774713i | ||||||||
\(843\) | 16.7547 | − | 4.48940i | 0.577062 | − | 0.154623i | ||||
\(844\) | 43.5142 | − | 97.7345i | 1.49782 | − | 3.36416i | ||||
\(845\) | 0.128289 | + | 5.00651i | 0.00441329 | + | 0.172229i | ||||
\(846\) | 5.55358 | − | 2.47261i | 0.190936 | − | 0.0850101i | ||||
\(847\) | −23.9871 | + | 47.0773i | −0.824206 | + | 1.61760i | ||||
\(848\) | −111.929 | − | 154.057i | −3.84366 | − | 5.29034i | ||||
\(849\) | 0.943741 | + | 2.90454i | 0.0323891 | + | 0.0996835i | ||||
\(850\) | 17.4383 | + | 0.913900i | 0.598127 | + | 0.0313465i | ||||
\(851\) | −2.43982 | − | 15.4044i | −0.0836360 | − | 0.528057i | ||||
\(852\) | 6.67337 | − | 127.335i | 0.228626 | − | 4.36244i | ||||
\(853\) | 4.30685 | + | 8.45267i | 0.147464 | + | 0.289414i | 0.952909 | − | 0.303256i | \(-0.0980738\pi\) |
−0.805445 | + | 0.592670i | \(0.798074\pi\) | |||||||
\(854\) | 5.72872 | − | 7.88491i | 0.196033 | − | 0.269816i | ||||
\(855\) | 0.499079 | + | 0.162160i | 0.0170681 | + | 0.00554577i | ||||
\(856\) | 76.2305 | − | 49.5047i | 2.60550 | − | 1.69203i | ||||
\(857\) | −32.6955 | + | 3.43643i | −1.11686 | + | 0.117386i | −0.644923 | − | 0.764248i | \(-0.723110\pi\) |
−0.471934 | + | 0.881634i | \(0.656444\pi\) | |||||||
\(858\) | −3.52933 | + | 12.5006i | −0.120489 | + | 0.426764i | ||||
\(859\) | 6.85172 | + | 15.3892i | 0.233778 | + | 0.525073i | 0.991897 | − | 0.127042i | \(-0.0405484\pi\) |
−0.758120 | + | 0.652116i | \(0.773882\pi\) | |||||||
\(860\) | −3.64179 | − | 4.49723i | −0.124184 | − | 0.153354i | ||||
\(861\) | −23.1348 | + | 2.43156i | −0.788431 | + | 0.0828674i | ||||
\(862\) | 56.5834i | 1.92724i | ||||||||
\(863\) | 10.1196 | + | 37.7670i | 0.344476 | + | 1.28560i | 0.893223 | + | 0.449614i | \(0.148439\pi\) |
−0.548746 | + | 0.835989i | \(0.684895\pi\) | |||||||
\(864\) | 90.3576 | + | 73.1701i | 3.07403 | + | 2.48930i | ||||
\(865\) | 1.23587 | + | 2.42554i | 0.0420209 | + | 0.0824708i | ||||
\(866\) | 36.7208 | − | 72.0685i | 1.24782 | − | 2.44899i | ||||
\(867\) | 24.4986 | + | 14.1443i | 0.832016 | + | 0.480365i | ||||
\(868\) | 145.300 | + | 58.0768i | 4.93180 | + | 1.97126i | ||||
\(869\) | 5.57744 | + | 1.49447i | 0.189202 | + | 0.0506964i | ||||
\(870\) | 10.2957 | − | 3.34527i | 0.349056 | − | 0.113415i | ||||
\(871\) | 34.3795 | + | 4.07886i | 1.16491 | + | 0.138207i | ||||
\(872\) | 44.8802 | − | 32.6073i | 1.51983 | − | 1.10422i | ||||
\(873\) | 1.47017 | + | 1.47017i | 0.0497577 | + | 0.0497577i | ||||
\(874\) | −46.6613 | − | 26.9399i | −1.57834 | − | 0.911256i | ||||
\(875\) | −11.2254 | − | 15.4504i | −0.379487 | − | 0.522319i | ||||
\(876\) | 4.71430 | + | 29.7649i | 0.159281 | + | 1.00566i | ||||
\(877\) | 21.7898 | − | 17.6451i | 0.735790 | − | 0.595831i | −0.186443 | − | 0.982466i | \(-0.559696\pi\) |
0.922233 | + | 0.386635i | \(0.126363\pi\) | |||||||
\(878\) | 4.32575 | + | 82.5402i | 0.145987 | + | 2.78560i | ||||
\(879\) | 1.97440 | − | 2.43819i | 0.0665950 | − | 0.0822380i | ||||
\(880\) | −4.15111 | + | 1.34878i | −0.139934 | + | 0.0454673i | ||||
\(881\) | 7.94016 | − | 24.4373i | 0.267511 | − | 0.823314i | −0.723593 | − | 0.690226i | \(-0.757511\pi\) |
0.991104 | − | 0.133087i | \(-0.0424891\pi\) | |||||||
\(882\) | 7.63217 | − | 19.8825i | 0.256989 | − | 0.669478i | ||||
\(883\) | −14.0004 | + | 43.0888i | −0.471151 | + | 1.45005i | 0.379928 | + | 0.925016i | \(0.375949\pi\) |
−0.851079 | + | 0.525038i | \(0.824051\pi\) | |||||||
\(884\) | −26.0456 | + | 3.76897i | −0.876007 | + | 0.126764i | ||||
\(885\) | −2.76213 | − | 0.290311i | −0.0928479 | − | 0.00975870i | ||||
\(886\) | −47.0147 | + | 23.9552i | −1.57949 | + | 0.804791i | ||||
\(887\) | 34.2701 | + | 7.28434i | 1.15068 | + | 0.244584i | 0.743482 | − | 0.668756i | \(-0.233173\pi\) |
0.407197 | + | 0.913341i | \(0.366506\pi\) | |||||||
\(888\) | −19.1140 | + | 42.9308i | −0.641424 | + | 1.44066i | ||||
\(889\) | 73.0193 | − | 47.4193i | 2.44899 | − | 1.59039i | ||||
\(890\) | 2.24921 | + | 2.77754i | 0.0753937 | + | 0.0931034i | ||||
\(891\) | 6.65963 | + | 2.55639i | 0.223106 | + | 0.0856424i | ||||
\(892\) | 18.2085 | + | 47.4349i | 0.609667 | + | 1.58824i | ||||
\(893\) | −16.8779 | −0.564799 | ||||||||
\(894\) | −72.1222 | −2.41213 | ||||||||
\(895\) | 1.67604 | + | 4.36623i | 0.0560237 | + | 0.145947i | ||||
\(896\) | 50.1260 | + | 235.824i | 1.67459 | + | 7.87834i | ||||
\(897\) | 38.9105 | + | 10.9857i | 1.29919 | + | 0.366802i | ||||
\(898\) | 2.30309i | 0.0768552i | ||||||||
\(899\) | 26.8035 | − | 14.9881i | 0.893946 | − | 0.499881i | ||||
\(900\) | 5.71830 | + | 9.90438i | 0.190610 | + | 0.330146i | ||||
\(901\) | 3.22928 | − | 15.1925i | 0.107583 | − | 0.506137i | ||||
\(902\) | 2.65059 | − | 4.08155i | 0.0882550 | − | 0.135901i | ||||
\(903\) | −15.7558 | + | 19.4568i | −0.524320 | + | 0.647482i | ||||
\(904\) | −61.7627 | − | 16.5493i | −2.05420 | − | 0.550420i | ||||
\(905\) | 1.89519 | − | 7.07293i | 0.0629981 | − | 0.235112i | ||||
\(906\) | 8.23727 | − | 5.98473i | 0.273665 | − | 0.198829i | ||||
\(907\) | 3.01964 | + | 0.317377i | 0.100265 | + | 0.0105383i | 0.154528 | − | 0.987988i | \(-0.450614\pi\) |
−0.0542628 | + | 0.998527i | \(0.517281\pi\) | |||||||
\(908\) | 69.0874 | − | 10.9424i | 2.29275 | − | 0.363135i | ||||
\(909\) | −0.942190 | + | 4.43266i | −0.0312505 | + | 0.147022i | ||||
\(910\) | 14.1319 | + | 13.0708i | 0.468468 | + | 0.433291i | ||||
\(911\) | −13.1087 | − | 11.8031i | −0.434310 | − | 0.391054i | 0.422771 | − | 0.906237i | \(-0.361057\pi\) |
−0.857081 | + | 0.515182i | \(0.827724\pi\) | |||||||
\(912\) | 43.4277 | + | 85.2317i | 1.43804 | + | 2.82230i | ||||
\(913\) | −0.556784 | + | 0.247896i | −0.0184268 | + | 0.00820416i | ||||
\(914\) | 29.9682 | + | 33.2830i | 0.991258 | + | 1.10090i | ||||
\(915\) | −0.446557 | + | 0.227532i | −0.0147627 | + | 0.00752199i | ||||
\(916\) | 44.0697 | − | 6.97995i | 1.45610 | − | 0.230624i | ||||
\(917\) | 1.07629 | − | 1.65735i | 0.0355424 | − | 0.0547304i | ||||
\(918\) | 0.898318 | + | 17.1409i | 0.0296489 | + | 0.565735i | ||||
\(919\) | 42.3143 | + | 18.8395i | 1.39582 | + | 0.621459i | 0.960363 | − | 0.278752i | \(-0.0899207\pi\) |
0.435456 | + | 0.900210i | \(0.356587\pi\) | |||||||
\(920\) | 7.12516 | + | 21.9290i | 0.234910 | + | 0.722977i | ||||
\(921\) | 7.70491 | + | 48.6469i | 0.253885 | + | 1.60297i | ||||
\(922\) | −45.7046 | − | 33.2063i | −1.50520 | − | 1.09359i | ||||
\(923\) | 9.83288 | − | 43.3985i | 0.323653 | − | 1.42848i | ||||
\(924\) | 18.3812 | + | 31.8372i | 0.604697 | + | 1.04737i | ||||
\(925\) | 8.82652 | − | 8.82652i | 0.290214 | − | 0.290214i | ||||
\(926\) | −7.92610 | + | 17.8023i | −0.260468 | + | 0.585020i | ||||
\(927\) | 5.94257 | + | 1.93086i | 0.195180 | + | 0.0634177i | ||||
\(928\) | 119.817 | + | 61.0498i | 3.93319 | + | 2.00406i | ||||
\(929\) | −12.3922 | − | 46.2484i | −0.406576 | − | 1.51736i | −0.801131 | − | 0.598489i | \(-0.795768\pi\) |
0.394556 | − | 0.918872i | \(-0.370899\pi\) | |||||||
\(930\) | −7.20002 | − | 8.22068i | −0.236098 | − | 0.269567i | ||||
\(931\) | −41.8101 | + | 41.8101i | −1.37027 | + | 1.37027i | ||||
\(932\) | 114.123 | + | 24.2577i | 3.73824 | + | 0.794587i | ||||
\(933\) | −29.7459 | − | 33.0361i | −0.973836 | − | 1.08155i | ||||
\(934\) | −37.8662 | + | 14.5355i | −1.23902 | + | 0.475615i | ||||
\(935\) | −0.308312 | − | 0.178004i | −0.0100829 | − | 0.00582136i | ||||
\(936\) | −9.90389 | − | 11.2996i | −0.323719 | − | 0.369339i | ||||
\(937\) | 28.8411 | + | 12.8409i | 0.942198 | + | 0.419494i | 0.819583 | − | 0.572961i | \(-0.194205\pi\) |
0.122615 | + | 0.992454i | \(0.460872\pi\) | |||||||
\(938\) | 103.416 | − | 83.7445i | 3.37665 | − | 2.73435i | ||||
\(939\) | −18.1424 | − | 13.1813i | −0.592056 | − | 0.430154i | ||||
\(940\) | 8.36202 | + | 7.52920i | 0.272739 | + | 0.245575i | ||||
\(941\) | −16.8410 | − | 13.6376i | −0.549001 | − | 0.444572i | 0.314255 | − | 0.949339i | \(-0.398245\pi\) |
−0.863256 | + | 0.504766i | \(0.831579\pi\) | |||||||
\(942\) | 45.4464 | + | 23.1561i | 1.48072 | + | 0.754466i | ||||
\(943\) | −12.7046 | − | 8.25045i | −0.413718 | − | 0.268672i | ||||
\(944\) | −39.2967 | − | 48.5274i | −1.27900 | − | 1.57943i | ||||
\(945\) | 6.87013 | − | 6.18589i | 0.223485 | − | 0.201227i | ||||
\(946\) | −1.08901 | − | 5.12337i | −0.0354067 | − | 0.166575i | ||||
\(947\) | −46.6821 | − | 17.9196i | −1.51696 | − | 0.582308i | −0.549539 | − | 0.835468i | \(-0.685197\pi\) |
−0.967424 | + | 0.253160i | \(0.918530\pi\) | |||||||
\(948\) | −62.6968 | + | 56.4524i | −2.03630 | + | 1.83349i | ||||
\(949\) | −0.140611 | + | 10.5159i | −0.00456443 | + | 0.341360i | ||||
\(950\) | −4.50754 | − | 42.8864i | −0.146244 | − | 1.39142i | ||||
\(951\) | −2.72596 | − | 1.38894i | −0.0883952 | − | 0.0450396i | ||||
\(952\) | −38.1654 | + | 52.5302i | −1.23695 | + | 1.70251i | ||||
\(953\) | −20.6384 | + | 9.18881i | −0.668543 | + | 0.297655i | −0.712802 | − | 0.701365i | \(-0.752574\pi\) |
0.0442585 | + | 0.999020i | \(0.485907\pi\) | |||||||
\(954\) | 12.8976 | − | 4.95091i | 0.417574 | − | 0.160292i | ||||
\(955\) | 0.138234 | + | 0.138234i | 0.00447316 | + | 0.00447316i | ||||
\(956\) | 0.214516 | − | 0.800584i | 0.00693794 | − | 0.0258927i | ||||
\(957\) | 7.12600 | + | 1.12865i | 0.230351 | + | 0.0364840i | ||||
\(958\) | −5.98720 | + | 18.4267i | −0.193437 | + | 0.595339i | ||||
\(959\) | −59.3854 | + | 65.9542i | −1.91765 | + | 2.12977i | ||||
\(960\) | 6.47443 | − | 24.1629i | 0.208961 | − | 0.779855i | ||||
\(961\) | −24.5697 | − | 18.9031i | −0.792572 | − | 0.609779i | ||||
\(962\) | −14.2001 | + | 21.2391i | −0.457831 | + | 0.684777i | ||||
\(963\) | 1.20069 | + | 3.69536i | 0.0386918 | + | 0.119081i | ||||
\(964\) | −139.212 | − | 7.29580i | −4.48372 | − | 0.234982i | ||||
\(965\) | 5.55838 | + | 2.47475i | 0.178931 | + | 0.0796650i | ||||
\(966\) | 134.586 | − | 77.7035i | 4.33025 | − | 2.50007i | ||||
\(967\) | −37.3600 | − | 10.0106i | −1.20142 | − | 0.321919i | −0.398028 | − | 0.917373i | \(-0.630305\pi\) |
−0.803389 | + | 0.595455i | \(0.796972\pi\) | |||||||
\(968\) | 102.396 | + | 16.2179i | 3.29113 | + | 0.521263i | ||||
\(969\) | −2.79609 | + | 7.28407i | −0.0898235 | + | 0.233998i | ||||
\(970\) | −1.87300 | + | 4.87934i | −0.0601385 | + | 0.156666i | ||||
\(971\) | 19.4874 | − | 21.6429i | 0.625379 | − | 0.694554i | −0.344321 | − | 0.938852i | \(-0.611891\pi\) |
0.969700 | + | 0.244298i | \(0.0785576\pi\) | |||||||
\(972\) | −19.6783 | + | 14.2971i | −0.631182 | + | 0.458581i | ||||
\(973\) | 2.61994 | + | 4.03436i | 0.0839915 | + | 0.129336i | ||||
\(974\) | 62.1110 | + | 68.9812i | 1.99016 | + | 2.21030i | ||||
\(975\) | 11.1916 | + | 30.3624i | 0.358419 | + | 0.972376i | ||||
\(976\) | −10.7166 | − | 3.48204i | −0.343031 | − | 0.111457i | ||||
\(977\) | −1.29469 | − | 0.840779i | −0.0414207 | − | 0.0268989i | 0.523763 | − | 0.851864i | \(-0.324528\pi\) |
−0.565183 | + | 0.824965i | \(0.691195\pi\) | |||||||
\(978\) | −18.3364 | − | 41.1842i | −0.586332 | − | 1.31692i | ||||
\(979\) | 0.495239 | + | 2.32991i | 0.0158279 | + | 0.0744644i | ||||
\(980\) | 39.3658 | − | 2.06307i | 1.25749 | − | 0.0659024i | ||||
\(981\) | 0.849843 | + | 2.21392i | 0.0271334 | + | 0.0706849i | ||||
\(982\) | −69.3871 | + | 3.63642i | −2.21423 | + | 0.116043i | ||||
\(983\) | −9.70179 | − | 3.72417i | −0.309439 | − | 0.118783i | 0.198693 | − | 0.980062i | \(-0.436330\pi\) |
−0.508132 | + | 0.861279i | \(0.669664\pi\) | |||||||
\(984\) | 18.5650 | + | 41.6977i | 0.591831 | + | 1.32927i | ||||
\(985\) | −0.294966 | − | 2.80642i | −0.00939841 | − | 0.0894199i | ||||
\(986\) | 5.13809 | + | 19.1756i | 0.163630 | + | 0.610676i | ||||
\(987\) | 24.3407 | − | 42.1594i | 0.774775 | − | 1.34195i | ||||
\(988\) | 19.2546 | + | 62.0713i | 0.612569 | + | 1.97475i | ||||
\(989\) | −15.9475 | + | 3.38974i | −0.507100 | + | 0.107787i | ||||
\(990\) | −0.0165726 | − | 0.316223i | −0.000526711 | − | 0.0100502i | ||||
\(991\) | 30.8301 | − | 17.7997i | 0.979349 | − | 0.565427i | 0.0772755 | − | 0.997010i | \(-0.475378\pi\) |
0.902074 | + | 0.431582i | \(0.142045\pi\) | |||||||
\(992\) | 8.96512 | − | 135.450i | 0.284643 | − | 4.30053i | ||||
\(993\) | −3.87582 | − | 3.87582i | −0.122995 | − | 0.122995i | ||||
\(994\) | −93.1545 | − | 143.445i | −2.95468 | − | 4.54981i | ||||
\(995\) | −0.118187 | + | 0.0602192i | −0.00374677 | + | 0.00190908i | ||||
\(996\) | 1.39306 | − | 8.79543i | 0.0441408 | − | 0.278694i | ||||
\(997\) | −24.4797 | − | 42.4000i | −0.775279 | − | 1.34282i | −0.934638 | − | 0.355601i | \(-0.884276\pi\) |
0.159359 | − | 0.987221i | \(-0.449057\pi\) | |||||||
\(998\) | 21.6256 | − | 37.4566i | 0.684546 | − | 1.18567i | ||||
\(999\) | 9.53540 | + | 7.72161i | 0.301687 | + | 0.244301i |
(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 | 403.2.cc.a.24.2 | ✓ | 560 | |
13.6 | odd | 12 | 403.2.ch.a.396.34 | yes | 560 | ||
31.22 | odd | 30 | 403.2.ch.a.115.34 | yes | 560 | ||
403.84 | even | 60 | inner | 403.2.cc.a.84.2 | yes | 560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cc.a.24.2 | ✓ | 560 | 1.1 | even | 1 | trivial | |
403.2.cc.a.84.2 | yes | 560 | 403.84 | even | 60 | inner | |
403.2.ch.a.115.34 | yes | 560 | 31.22 | odd | 30 | ||
403.2.ch.a.396.34 | yes | 560 | 13.6 | odd | 12 |