Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(7,390)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(390, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.bd (of order \(12\), degree \(4\), 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: | \(3.11416567883\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.3 | ||
Character | \(\chi\) | \(=\) | 390.37 |
Dual form | 390.2.bd.c.253.3 |
$q$-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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | −0.965926 | − | 0.258819i | −0.557678 | − | 0.149429i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 1.50593 | − | 1.65293i | 0.673471 | − | 0.739213i | ||||
\(6\) | −0.965926 | + | 0.258819i | −0.394338 | + | 0.105662i | ||||
\(7\) | 0.627513 | − | 1.08688i | 0.237178 | − | 0.410804i | −0.722726 | − | 0.691135i | \(-0.757111\pi\) |
0.959903 | + | 0.280331i | \(0.0904443\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | 0.477706 | − | 2.18444i | 0.151064 | − | 0.690782i | ||||
\(11\) | −1.61087 | − | 0.431631i | −0.485695 | − | 0.130142i | 0.00765795 | − | 0.999971i | \(-0.497562\pi\) |
−0.493353 | + | 0.869829i | \(0.664229\pi\) | |||||||
\(12\) | −0.707107 | + | 0.707107i | −0.204124 | + | 0.204124i | ||||
\(13\) | 1.52233 | + | 3.26841i | 0.422219 | + | 0.906494i | ||||
\(14\) | − | 1.25503i | − | 0.335420i | ||||||
\(15\) | −1.88242 | + | 1.20685i | −0.486040 | + | 0.311606i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.24008 | − | 4.62805i | −0.300764 | − | 1.12247i | −0.936531 | − | 0.350585i | \(-0.885983\pi\) |
0.635767 | − | 0.771881i | \(-0.280684\pi\) | |||||||
\(18\) | 1.00000 | 0.235702 | ||||||||
\(19\) | −1.68516 | − | 6.28910i | −0.386602 | − | 1.44282i | −0.835626 | − | 0.549299i | \(-0.814895\pi\) |
0.449024 | − | 0.893520i | \(-0.351772\pi\) | |||||||
\(20\) | −0.678517 | − | 2.13064i | −0.151721 | − | 0.476425i | ||||
\(21\) | −0.887437 | + | 0.887437i | −0.193655 | + | 0.193655i | ||||
\(22\) | −1.61087 | + | 0.431631i | −0.343439 | + | 0.0920241i | ||||
\(23\) | −1.26866 | + | 4.73471i | −0.264535 | + | 0.987256i | 0.698000 | + | 0.716098i | \(0.254073\pi\) |
−0.962535 | + | 0.271159i | \(0.912593\pi\) | |||||||
\(24\) | −0.258819 | + | 0.965926i | −0.0528312 | + | 0.197169i | ||||
\(25\) | −0.464364 | − | 4.97839i | −0.0928729 | − | 0.995678i | ||||
\(26\) | 2.95258 | + | 2.06936i | 0.579049 | + | 0.405835i | ||||
\(27\) | −0.707107 | − | 0.707107i | −0.136083 | − | 0.136083i | ||||
\(28\) | −0.627513 | − | 1.08688i | −0.118589 | − | 0.205402i | ||||
\(29\) | 6.16323 | − | 3.55834i | 1.14448 | − | 0.660767i | 0.196946 | − | 0.980414i | \(-0.436898\pi\) |
0.947537 | + | 0.319647i | \(0.103564\pi\) | |||||||
\(30\) | −1.02680 | + | 1.98637i | −0.187468 | + | 0.362660i | ||||
\(31\) | 4.97092 | + | 4.97092i | 0.892803 | + | 0.892803i | 0.994786 | − | 0.101983i | \(-0.0325186\pi\) |
−0.101983 | + | 0.994786i | \(0.532519\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 1.44427 | + | 0.833847i | 0.251414 | + | 0.145154i | ||||
\(34\) | −3.38797 | − | 3.38797i | −0.581031 | − | 0.581031i | ||||
\(35\) | −0.851556 | − | 2.67400i | −0.143939 | − | 0.451989i | ||||
\(36\) | 0.866025 | − | 0.500000i | 0.144338 | − | 0.0833333i | ||||
\(37\) | 5.13448 | + | 8.89318i | 0.844103 | + | 1.46203i | 0.886397 | + | 0.462925i | \(0.153200\pi\) |
−0.0422940 | + | 0.999105i | \(0.513467\pi\) | |||||||
\(38\) | −4.60394 | − | 4.60394i | −0.746858 | − | 0.746858i | ||||
\(39\) | −0.624535 | − | 3.55105i | −0.100006 | − | 0.568623i | ||||
\(40\) | −1.65293 | − | 1.50593i | −0.261351 | − | 0.238108i | ||||
\(41\) | 0.614688 | − | 2.29405i | 0.0959981 | − | 0.358270i | −0.901171 | − | 0.433464i | \(-0.857291\pi\) |
0.997169 | + | 0.0751944i | \(0.0239577\pi\) | |||||||
\(42\) | −0.324825 | + | 1.21226i | −0.0501215 | + | 0.187056i | ||||
\(43\) | −6.17528 | + | 1.65466i | −0.941721 | + | 0.252334i | −0.696846 | − | 0.717221i | \(-0.745414\pi\) |
−0.244876 | + | 0.969554i | \(0.578747\pi\) | |||||||
\(44\) | −1.17924 | + | 1.17924i | −0.177777 | + | 0.177777i | ||||
\(45\) | 2.13064 | − | 0.678517i | 0.317617 | − | 0.101147i | ||||
\(46\) | 1.26866 | + | 4.73471i | 0.187054 | + | 0.698096i | ||||
\(47\) | −3.93547 | −0.574047 | −0.287023 | − | 0.957924i | \(-0.592666\pi\) | ||||
−0.287023 | + | 0.957924i | \(0.592666\pi\) | |||||||
\(48\) | 0.258819 | + | 0.965926i | 0.0373573 | + | 0.139419i | ||||
\(49\) | 2.71245 | + | 4.69811i | 0.387494 | + | 0.671159i | ||||
\(50\) | −2.89135 | − | 4.07923i | −0.408898 | − | 0.576890i | ||||
\(51\) | 4.79131i | 0.670917i | ||||||||
\(52\) | 3.59169 | + | 0.315825i | 0.498078 | + | 0.0437971i | ||||
\(53\) | −2.76048 | + | 2.76048i | −0.379181 | + | 0.379181i | −0.870807 | − | 0.491626i | \(-0.836403\pi\) |
0.491626 | + | 0.870807i | \(0.336403\pi\) | |||||||
\(54\) | −0.965926 | − | 0.258819i | −0.131446 | − | 0.0352208i | ||||
\(55\) | −3.13931 | + | 2.01265i | −0.423304 | + | 0.271386i | ||||
\(56\) | −1.08688 | − | 0.627513i | −0.145241 | − | 0.0838549i | ||||
\(57\) | 6.51095i | 0.862397i | ||||||||
\(58\) | 3.55834 | − | 6.16323i | 0.467233 | − | 0.809271i | ||||
\(59\) | 7.25043 | − | 1.94275i | 0.943925 | − | 0.252924i | 0.246143 | − | 0.969234i | \(-0.420837\pi\) |
0.697783 | + | 0.716310i | \(0.254170\pi\) | |||||||
\(60\) | 0.103947 | + | 2.23365i | 0.0134196 | + | 0.288363i | ||||
\(61\) | −4.86857 | + | 8.43262i | −0.623357 | + | 1.07969i | 0.365499 | + | 0.930812i | \(0.380898\pi\) |
−0.988856 | + | 0.148874i | \(0.952435\pi\) | |||||||
\(62\) | 6.79040 | + | 1.81948i | 0.862382 | + | 0.231075i | ||||
\(63\) | 1.08688 | − | 0.627513i | 0.136935 | − | 0.0790592i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 7.69498 | + | 2.40567i | 0.954445 | + | 0.298387i | ||||
\(66\) | 1.66769 | 0.205279 | ||||||||
\(67\) | −1.61393 | + | 0.931803i | −0.197173 | + | 0.113838i | −0.595336 | − | 0.803477i | \(-0.702981\pi\) |
0.398163 | + | 0.917315i | \(0.369648\pi\) | |||||||
\(68\) | −4.62805 | − | 1.24008i | −0.561233 | − | 0.150382i | ||||
\(69\) | 2.45087 | − | 4.24503i | 0.295050 | − | 0.511041i | ||||
\(70\) | −2.07447 | − | 1.88998i | −0.247947 | − | 0.225896i | ||||
\(71\) | 1.32703 | − | 0.355575i | 0.157489 | − | 0.0421990i | −0.179213 | − | 0.983810i | \(-0.557355\pi\) |
0.336702 | + | 0.941611i | \(0.390688\pi\) | |||||||
\(72\) | 0.500000 | − | 0.866025i | 0.0589256 | − | 0.102062i | ||||
\(73\) | 10.6790i | 1.24988i | 0.780672 | + | 0.624941i | \(0.214877\pi\) | ||||
−0.780672 | + | 0.624941i | \(0.785123\pi\) | |||||||
\(74\) | 8.89318 | + | 5.13448i | 1.03381 | + | 0.596871i | ||||
\(75\) | −0.839961 | + | 4.92894i | −0.0969903 | + | 0.569145i | ||||
\(76\) | −6.28910 | − | 1.68516i | −0.721409 | − | 0.193301i | ||||
\(77\) | −1.47997 | + | 1.47997i | −0.168659 | + | 0.168659i | ||||
\(78\) | −2.31639 | − | 2.76303i | −0.262279 | − | 0.312852i | ||||
\(79\) | 8.54874i | 0.961809i | 0.876773 | + | 0.480904i | \(0.159692\pi\) | ||||
−0.876773 | + | 0.480904i | \(0.840308\pi\) | |||||||
\(80\) | −2.18444 | − | 0.477706i | −0.244228 | − | 0.0534091i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −0.614688 | − | 2.29405i | −0.0678809 | − | 0.253335i | ||||
\(83\) | −3.67899 | −0.403822 | −0.201911 | − | 0.979404i | \(-0.564715\pi\) | ||||
−0.201911 | + | 0.979404i | \(0.564715\pi\) | |||||||
\(84\) | 0.324825 | + | 1.21226i | 0.0354413 | + | 0.132269i | ||||
\(85\) | −9.51732 | − | 4.91974i | −1.03230 | − | 0.533620i | ||||
\(86\) | −4.52062 | + | 4.52062i | −0.487471 | + | 0.487471i | ||||
\(87\) | −6.87419 | + | 1.84193i | −0.736990 | + | 0.197476i | ||||
\(88\) | −0.431631 | + | 1.61087i | −0.0460120 | + | 0.171719i | ||||
\(89\) | −1.32475 | + | 4.94404i | −0.140423 | + | 0.524067i | 0.859493 | + | 0.511147i | \(0.170779\pi\) |
−0.999917 | + | 0.0129199i | \(0.995887\pi\) | |||||||
\(90\) | 1.50593 | − | 1.65293i | 0.158739 | − | 0.174234i | ||||
\(91\) | 4.50767 | + | 0.396369i | 0.472532 | + | 0.0415507i | ||||
\(92\) | 3.46605 | + | 3.46605i | 0.361361 | + | 0.361361i | ||||
\(93\) | −3.51497 | − | 6.08811i | −0.364485 | − | 0.631307i | ||||
\(94\) | −3.40821 | + | 1.96773i | −0.351530 | + | 0.202956i | ||||
\(95\) | −12.9332 | − | 6.68548i | −1.32692 | − | 0.685915i | ||||
\(96\) | 0.707107 | + | 0.707107i | 0.0721688 | + | 0.0721688i | ||||
\(97\) | 12.6374 | + | 7.29623i | 1.28314 | + | 0.740820i | 0.977421 | − | 0.211303i | \(-0.0677705\pi\) |
0.305717 | + | 0.952122i | \(0.401104\pi\) | |||||||
\(98\) | 4.69811 | + | 2.71245i | 0.474581 | + | 0.273999i | ||||
\(99\) | −1.17924 | − | 1.17924i | −0.118518 | − | 0.118518i | ||||
\(100\) | −4.54359 | − | 2.08704i | −0.454359 | − | 0.208704i | ||||
\(101\) | 15.1633 | − | 8.75455i | 1.50881 | − | 0.871110i | 0.508860 | − | 0.860849i | \(-0.330067\pi\) |
0.999947 | − | 0.0102612i | \(-0.00326631\pi\) | |||||||
\(102\) | 2.39565 | + | 4.14939i | 0.237205 | + | 0.410851i | ||||
\(103\) | 6.26904 | + | 6.26904i | 0.617707 | + | 0.617707i | 0.944943 | − | 0.327236i | \(-0.106117\pi\) |
−0.327236 | + | 0.944943i | \(0.606117\pi\) | |||||||
\(104\) | 3.26841 | − | 1.52233i | 0.320494 | − | 0.149277i | ||||
\(105\) | 0.130457 | + | 2.80329i | 0.0127313 | + | 0.273573i | ||||
\(106\) | −1.01041 | + | 3.77088i | −0.0981393 | + | 0.366261i | ||||
\(107\) | 0.290076 | − | 1.08258i | 0.0280427 | − | 0.104657i | −0.950486 | − | 0.310767i | \(-0.899414\pi\) |
0.978529 | + | 0.206111i | \(0.0660807\pi\) | |||||||
\(108\) | −0.965926 | + | 0.258819i | −0.0929463 | + | 0.0249049i | ||||
\(109\) | 13.1086 | − | 13.1086i | 1.25557 | − | 1.25557i | 0.302388 | − | 0.953185i | \(-0.402216\pi\) |
0.953185 | − | 0.302388i | \(-0.0977837\pi\) | |||||||
\(110\) | −1.71240 | + | 3.31266i | −0.163271 | + | 0.315850i | ||||
\(111\) | −2.65780 | − | 9.91906i | −0.252267 | − | 0.941475i | ||||
\(112\) | −1.25503 | −0.118589 | ||||||||
\(113\) | −1.99540 | − | 7.44692i | −0.187711 | − | 0.700548i | −0.994034 | − | 0.109072i | \(-0.965212\pi\) |
0.806323 | − | 0.591476i | \(-0.201454\pi\) | |||||||
\(114\) | 3.25548 | + | 5.63865i | 0.304903 | + | 0.528108i | ||||
\(115\) | 5.91564 | + | 9.22715i | 0.551637 | + | 0.860436i | ||||
\(116\) | − | 7.11668i | − | 0.660767i | ||||||
\(117\) | −0.315825 | + | 3.59169i | −0.0291980 | + | 0.332052i | ||||
\(118\) | 5.30768 | − | 5.30768i | 0.488612 | − | 0.488612i | ||||
\(119\) | −5.80832 | − | 1.55633i | −0.532448 | − | 0.142669i | ||||
\(120\) | 1.20685 | + | 1.88242i | 0.110169 | + | 0.171841i | ||||
\(121\) | −7.11768 | − | 4.10940i | −0.647062 | − | 0.373582i | ||||
\(122\) | 9.73715i | 0.881560i | ||||||||
\(123\) | −1.18749 | + | 2.05678i | −0.107072 | + | 0.185454i | ||||
\(124\) | 6.79040 | − | 1.81948i | 0.609796 | − | 0.163394i | ||||
\(125\) | −8.92824 | − | 6.72953i | −0.798566 | − | 0.601908i | ||||
\(126\) | 0.627513 | − | 1.08688i | 0.0559033 | − | 0.0968274i | ||||
\(127\) | −9.65497 | − | 2.58704i | −0.856740 | − | 0.229563i | −0.196395 | − | 0.980525i | \(-0.562923\pi\) |
−0.660345 | + | 0.750962i | \(0.729590\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 6.39312 | 0.562883 | ||||||||
\(130\) | 7.86689 | − | 1.76411i | 0.689972 | − | 0.154723i | ||||
\(131\) | 7.04662 | 0.615666 | 0.307833 | − | 0.951440i | \(-0.400396\pi\) | ||||
0.307833 | + | 0.951440i | \(0.400396\pi\) | |||||||
\(132\) | 1.44427 | − | 0.833847i | 0.125707 | − | 0.0725771i | ||||
\(133\) | −7.89298 | − | 2.11492i | −0.684408 | − | 0.183387i | ||||
\(134\) | −0.931803 | + | 1.61393i | −0.0804955 | + | 0.139422i | ||||
\(135\) | −2.23365 | + | 0.103947i | −0.192242 | + | 0.00894637i | ||||
\(136\) | −4.62805 | + | 1.24008i | −0.396852 | + | 0.106336i | ||||
\(137\) | 1.91461 | − | 3.31620i | 0.163576 | − | 0.283322i | −0.772573 | − | 0.634926i | \(-0.781030\pi\) |
0.936149 | + | 0.351604i | \(0.114364\pi\) | |||||||
\(138\) | − | 4.90174i | − | 0.417264i | ||||||
\(139\) | −13.7399 | − | 7.93271i | −1.16540 | − | 0.672844i | −0.212807 | − | 0.977094i | \(-0.568261\pi\) |
−0.952592 | + | 0.304251i | \(0.901594\pi\) | |||||||
\(140\) | −2.74153 | − | 0.599533i | −0.231702 | − | 0.0506698i | ||||
\(141\) | 3.80137 | + | 1.01857i | 0.320133 | + | 0.0857794i | ||||
\(142\) | 0.971450 | − | 0.971450i | 0.0815223 | − | 0.0815223i | ||||
\(143\) | −1.04153 | − | 5.92207i | −0.0870974 | − | 0.495228i | ||||
\(144\) | − | 1.00000i | − | 0.0833333i | ||||||
\(145\) | 3.39968 | − | 15.5460i | 0.282328 | − | 1.29102i | ||||
\(146\) | 5.33950 | + | 9.24828i | 0.441900 | + | 0.765393i | ||||
\(147\) | −1.40407 | − | 5.24006i | −0.115806 | − | 0.432193i | ||||
\(148\) | 10.2690 | 0.844103 | ||||||||
\(149\) | −2.04976 | − | 7.64982i | −0.167923 | − | 0.626698i | −0.997649 | − | 0.0685269i | \(-0.978170\pi\) |
0.829726 | − | 0.558171i | \(-0.188497\pi\) | |||||||
\(150\) | 1.73704 | + | 4.68857i | 0.141829 | + | 0.382820i | ||||
\(151\) | −11.2421 | + | 11.2421i | −0.914868 | + | 0.914868i | −0.996650 | − | 0.0817826i | \(-0.973939\pi\) |
0.0817826 | + | 0.996650i | \(0.473939\pi\) | |||||||
\(152\) | −6.28910 | + | 1.68516i | −0.510113 | + | 0.136684i | ||||
\(153\) | 1.24008 | − | 4.62805i | 0.100255 | − | 0.374156i | ||||
\(154\) | −0.541708 | + | 2.02168i | −0.0436521 | + | 0.162912i | ||||
\(155\) | 15.7024 | − | 0.730744i | 1.26125 | − | 0.0586948i | ||||
\(156\) | −3.38757 | − | 1.23466i | −0.271222 | − | 0.0988521i | ||||
\(157\) | 2.01620 | + | 2.01620i | 0.160911 | + | 0.160911i | 0.782970 | − | 0.622059i | \(-0.213704\pi\) |
−0.622059 | + | 0.782970i | \(0.713704\pi\) | |||||||
\(158\) | 4.27437 | + | 7.40343i | 0.340051 | + | 0.588985i | ||||
\(159\) | 3.38088 | − | 1.95195i | 0.268121 | − | 0.154800i | ||||
\(160\) | −2.13064 | + | 0.678517i | −0.168442 | + | 0.0536415i | ||||
\(161\) | 4.34998 | + | 4.34998i | 0.342827 | + | 0.342827i | ||||
\(162\) | 0.866025 | + | 0.500000i | 0.0680414 | + | 0.0392837i | ||||
\(163\) | 3.59412 | + | 2.07507i | 0.281513 | + | 0.162532i | 0.634108 | − | 0.773244i | \(-0.281367\pi\) |
−0.352595 | + | 0.935776i | \(0.614701\pi\) | |||||||
\(164\) | −1.67936 | − | 1.67936i | −0.131136 | − | 0.131136i | ||||
\(165\) | 3.55325 | − | 1.13156i | 0.276620 | − | 0.0880917i | ||||
\(166\) | −3.18610 | + | 1.83950i | −0.247289 | + | 0.142773i | ||||
\(167\) | −2.69591 | − | 4.66946i | −0.208616 | − | 0.361334i | 0.742663 | − | 0.669666i | \(-0.233563\pi\) |
−0.951279 | + | 0.308332i | \(0.900229\pi\) | |||||||
\(168\) | 0.887437 | + | 0.887437i | 0.0684673 | + | 0.0684673i | ||||
\(169\) | −8.36500 | + | 9.95122i | −0.643462 | + | 0.765478i | ||||
\(170\) | −10.7021 | + | 0.498044i | −0.820814 | + | 0.0381982i | ||||
\(171\) | 1.68516 | − | 6.28910i | 0.128867 | − | 0.480939i | ||||
\(172\) | −1.65466 | + | 6.17528i | −0.126167 | + | 0.470861i | ||||
\(173\) | −7.11700 | + | 1.90699i | −0.541096 | + | 0.144986i | −0.519007 | − | 0.854770i | \(-0.673698\pi\) |
−0.0220885 | + | 0.999756i | \(0.507032\pi\) | |||||||
\(174\) | −5.03225 | + | 5.03225i | −0.381494 | + | 0.381494i | ||||
\(175\) | −5.70233 | − | 2.61929i | −0.431056 | − | 0.198000i | ||||
\(176\) | 0.431631 | + | 1.61087i | 0.0325354 | + | 0.121424i | ||||
\(177\) | −7.50620 | −0.564200 | ||||||||
\(178\) | 1.32475 | + | 4.94404i | 0.0992943 | + | 0.370571i | ||||
\(179\) | −1.48610 | − | 2.57401i | −0.111077 | − | 0.192390i | 0.805128 | − | 0.593101i | \(-0.202097\pi\) |
−0.916205 | + | 0.400711i | \(0.868763\pi\) | |||||||
\(180\) | 0.477706 | − | 2.18444i | 0.0356061 | − | 0.162819i | ||||
\(181\) | − | 8.57582i | − | 0.637436i | −0.947850 | − | 0.318718i | \(-0.896748\pi\) | ||
0.947850 | − | 0.318718i | \(-0.103252\pi\) | |||||||
\(182\) | 4.10194 | − | 1.91057i | 0.304056 | − | 0.141621i | ||||
\(183\) | 6.88520 | − | 6.88520i | 0.508969 | − | 0.508969i | ||||
\(184\) | 4.73471 | + | 1.26866i | 0.349048 | + | 0.0935271i | ||||
\(185\) | 22.4320 | + | 4.90554i | 1.64923 | + | 0.360663i | ||||
\(186\) | −6.08811 | − | 3.51497i | −0.446402 | − | 0.257730i | ||||
\(187\) | 7.99044i | 0.584319i | ||||||||
\(188\) | −1.96773 | + | 3.40821i | −0.143512 | + | 0.248570i | ||||
\(189\) | −1.21226 | + | 0.324825i | −0.0881791 | + | 0.0236275i | ||||
\(190\) | −14.5432 | + | 0.676797i | −1.05507 | + | 0.0491000i | ||||
\(191\) | −11.4751 | + | 19.8754i | −0.830308 | + | 1.43814i | 0.0674864 | + | 0.997720i | \(0.478502\pi\) |
−0.897794 | + | 0.440415i | \(0.854831\pi\) | |||||||
\(192\) | 0.965926 | + | 0.258819i | 0.0697097 | + | 0.0186787i | ||||
\(193\) | −7.78132 | + | 4.49255i | −0.560112 | + | 0.323381i | −0.753190 | − | 0.657803i | \(-0.771486\pi\) |
0.193079 | + | 0.981183i | \(0.438153\pi\) | |||||||
\(194\) | 14.5925 | 1.04768 | ||||||||
\(195\) | −6.81015 | − | 4.31531i | −0.487685 | − | 0.309026i | ||||
\(196\) | 5.42491 | 0.387494 | ||||||||
\(197\) | −21.9778 | + | 12.6889i | −1.56585 | + | 0.904047i | −0.569210 | + | 0.822192i | \(0.692751\pi\) |
−0.996644 | + | 0.0818546i | \(0.973916\pi\) | |||||||
\(198\) | −1.61087 | − | 0.431631i | −0.114480 | − | 0.0306747i | ||||
\(199\) | 12.6150 | − | 21.8497i | 0.894250 | − | 1.54889i | 0.0595206 | − | 0.998227i | \(-0.481043\pi\) |
0.834730 | − | 0.550660i | \(-0.185624\pi\) | |||||||
\(200\) | −4.97839 | + | 0.464364i | −0.352025 | + | 0.0328355i | ||||
\(201\) | 1.80011 | − | 0.482337i | 0.126970 | − | 0.0340214i | ||||
\(202\) | 8.75455 | − | 15.1633i | 0.615968 | − | 1.06689i | ||||
\(203\) | − | 8.93162i | − | 0.626877i | ||||||
\(204\) | 4.14939 | + | 2.39565i | 0.290516 | + | 0.167729i | ||||
\(205\) | −2.86622 | − | 4.47070i | −0.200186 | − | 0.312247i | ||||
\(206\) | 8.56367 | + | 2.29463i | 0.596659 | + | 0.159874i | ||||
\(207\) | −3.46605 | + | 3.46605i | −0.240907 | + | 0.240907i | ||||
\(208\) | 2.06936 | − | 2.95258i | 0.143484 | − | 0.204725i | ||||
\(209\) | 10.8583i | 0.751083i | ||||||||
\(210\) | 1.51462 | + | 2.36249i | 0.104519 | + | 0.163027i | ||||
\(211\) | −1.45207 | − | 2.51505i | −0.0999644 | − | 0.173143i | 0.811705 | − | 0.584067i | \(-0.198540\pi\) |
−0.911670 | + | 0.410924i | \(0.865206\pi\) | |||||||
\(212\) | 1.01041 | + | 3.77088i | 0.0693949 | + | 0.258985i | ||||
\(213\) | −1.37384 | −0.0941338 | ||||||||
\(214\) | −0.290076 | − | 1.08258i | −0.0198292 | − | 0.0740034i | ||||
\(215\) | −6.56448 | + | 12.6991i | −0.447694 | + | 0.866072i | ||||
\(216\) | −0.707107 | + | 0.707107i | −0.0481125 | + | 0.0481125i | ||||
\(217\) | 8.52213 | − | 2.28350i | 0.578520 | − | 0.155014i | ||||
\(218\) | 4.79807 | − | 17.9066i | 0.324966 | − | 1.21279i | ||||
\(219\) | 2.76393 | − | 10.3151i | 0.186769 | − | 0.697031i | ||||
\(220\) | 0.173353 | + | 3.72505i | 0.0116874 | + | 0.251143i | ||||
\(221\) | 13.2385 | − | 11.0985i | 0.890520 | − | 0.746568i | ||||
\(222\) | −7.26125 | − | 7.26125i | −0.487343 | − | 0.487343i | ||||
\(223\) | 2.26260 | + | 3.91894i | 0.151515 | + | 0.262432i | 0.931785 | − | 0.363012i | \(-0.118251\pi\) |
−0.780270 | + | 0.625443i | \(0.784918\pi\) | |||||||
\(224\) | −1.08688 | + | 0.627513i | −0.0726205 | + | 0.0419275i | ||||
\(225\) | 2.08704 | − | 4.54359i | 0.139136 | − | 0.302906i | ||||
\(226\) | −5.45153 | − | 5.45153i | −0.362630 | − | 0.362630i | ||||
\(227\) | −20.2480 | − | 11.6902i | −1.34391 | − | 0.775907i | −0.356531 | − | 0.934284i | \(-0.616041\pi\) |
−0.987379 | + | 0.158377i | \(0.949374\pi\) | |||||||
\(228\) | 5.63865 | + | 3.25548i | 0.373429 | + | 0.215599i | ||||
\(229\) | −9.49103 | − | 9.49103i | −0.627185 | − | 0.627185i | 0.320174 | − | 0.947359i | \(-0.396259\pi\) |
−0.947359 | + | 0.320174i | \(0.896259\pi\) | |||||||
\(230\) | 9.73667 | + | 5.03312i | 0.642017 | + | 0.331874i | ||||
\(231\) | 1.81259 | − | 1.04650i | 0.119260 | − | 0.0688546i | ||||
\(232\) | −3.55834 | − | 6.16323i | −0.233616 | − | 0.404636i | ||||
\(233\) | −8.47713 | − | 8.47713i | −0.555355 | − | 0.555355i | 0.372626 | − | 0.927981i | \(-0.378457\pi\) |
−0.927981 | + | 0.372626i | \(0.878457\pi\) | |||||||
\(234\) | 1.52233 | + | 3.26841i | 0.0995181 | + | 0.213663i | ||||
\(235\) | −5.92653 | + | 6.50506i | −0.386604 | + | 0.424343i | ||||
\(236\) | 1.94275 | − | 7.25043i | 0.126462 | − | 0.471963i | ||||
\(237\) | 2.21258 | − | 8.25745i | 0.143722 | − | 0.536379i | ||||
\(238\) | −5.80832 | + | 1.55633i | −0.376497 | + | 0.100882i | ||||
\(239\) | −14.9221 | + | 14.9221i | −0.965231 | + | 0.965231i | −0.999416 | − | 0.0341841i | \(-0.989117\pi\) |
0.0341841 | + | 0.999416i | \(0.489117\pi\) | |||||||
\(240\) | 1.98637 | + | 1.02680i | 0.128220 | + | 0.0662799i | ||||
\(241\) | −1.80748 | − | 6.74561i | −0.116430 | − | 0.434523i | 0.882960 | − | 0.469448i | \(-0.155547\pi\) |
−0.999390 | + | 0.0349257i | \(0.988881\pi\) | |||||||
\(242\) | −8.21879 | −0.528324 | ||||||||
\(243\) | −0.258819 | − | 0.965926i | −0.0166032 | − | 0.0619642i | ||||
\(244\) | 4.86857 | + | 8.43262i | 0.311679 | + | 0.539843i | ||||
\(245\) | 11.8504 | + | 2.59151i | 0.757095 | + | 0.165566i | ||||
\(246\) | 2.37497i | 0.151423i | ||||||||
\(247\) | 17.9900 | − | 15.0819i | 1.14467 | − | 0.959638i | ||||
\(248\) | 4.97092 | − | 4.97092i | 0.315654 | − | 0.315654i | ||||
\(249\) | 3.55363 | + | 0.952193i | 0.225202 | + | 0.0603428i | ||||
\(250\) | −11.0968 | − | 1.36383i | −0.701826 | − | 0.0862560i | ||||
\(251\) | 3.65199 | + | 2.10848i | 0.230512 | + | 0.133086i | 0.610808 | − | 0.791779i | \(-0.290845\pi\) |
−0.380296 | + | 0.924865i | \(0.624178\pi\) | |||||||
\(252\) | − | 1.25503i | − | 0.0790592i | ||||||
\(253\) | 4.08730 | − | 7.07941i | 0.256966 | − | 0.445079i | ||||
\(254\) | −9.65497 | + | 2.58704i | −0.605807 | + | 0.162325i | ||||
\(255\) | 7.91970 | + | 7.21536i | 0.495951 | + | 0.451844i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −11.7678 | − | 3.15318i | −0.734057 | − | 0.196690i | −0.127622 | − | 0.991823i | \(-0.540734\pi\) |
−0.606435 | + | 0.795133i | \(0.707401\pi\) | |||||||
\(258\) | 5.53661 | − | 3.19656i | 0.344694 | − | 0.199009i | ||||
\(259\) | 12.8878 | 0.800810 | ||||||||
\(260\) | 5.93087 | − | 5.46121i | 0.367817 | − | 0.338690i | ||||
\(261\) | 7.11668 | 0.440511 | ||||||||
\(262\) | 6.10255 | − | 3.52331i | 0.377017 | − | 0.217671i | ||||
\(263\) | 16.2092 | + | 4.34325i | 0.999504 | + | 0.267816i | 0.721238 | − | 0.692688i | \(-0.243573\pi\) |
0.278267 | + | 0.960504i | \(0.410240\pi\) | |||||||
\(264\) | 0.833847 | − | 1.44427i | 0.0513198 | − | 0.0888884i | ||||
\(265\) | 0.405801 | + | 8.71996i | 0.0249282 | + | 0.535663i | ||||
\(266\) | −7.89298 | + | 2.11492i | −0.483950 | + | 0.129674i | ||||
\(267\) | 2.55922 | − | 4.43270i | 0.156622 | − | 0.271277i | ||||
\(268\) | 1.86361i | 0.113838i | ||||||||
\(269\) | 4.39441 | + | 2.53712i | 0.267932 | + | 0.154691i | 0.627948 | − | 0.778256i | \(-0.283895\pi\) |
−0.360015 | + | 0.932946i | \(0.617229\pi\) | |||||||
\(270\) | −1.88242 | + | 1.20685i | −0.114561 | + | 0.0734463i | ||||
\(271\) | 29.9794 | + | 8.03296i | 1.82112 | + | 0.487968i | 0.996927 | − | 0.0783409i | \(-0.0249623\pi\) |
0.824193 | + | 0.566309i | \(0.191629\pi\) | |||||||
\(272\) | −3.38797 | + | 3.38797i | −0.205426 | + | 0.205426i | ||||
\(273\) | −4.25148 | − | 1.54953i | −0.257312 | − | 0.0937820i | ||||
\(274\) | − | 3.82922i | − | 0.231332i | ||||||
\(275\) | −1.40080 | + | 8.21997i | −0.0844713 | + | 0.495683i | ||||
\(276\) | −2.45087 | − | 4.24503i | −0.147525 | − | 0.255521i | ||||
\(277\) | −7.16219 | − | 26.7296i | −0.430334 | − | 1.60603i | −0.751992 | − | 0.659172i | \(-0.770907\pi\) |
0.321658 | − | 0.946856i | \(-0.395760\pi\) | |||||||
\(278\) | −15.8654 | −0.951545 | ||||||||
\(279\) | 1.81948 | + | 6.79040i | 0.108930 | + | 0.406531i | ||||
\(280\) | −2.67400 | + | 0.851556i | −0.159802 | + | 0.0508902i | ||||
\(281\) | −6.36885 | + | 6.36885i | −0.379933 | + | 0.379933i | −0.871078 | − | 0.491145i | \(-0.836579\pi\) |
0.491145 | + | 0.871078i | \(0.336579\pi\) | |||||||
\(282\) | 3.80137 | − | 1.01857i | 0.226368 | − | 0.0606552i | ||||
\(283\) | 5.27508 | − | 19.6869i | 0.313571 | − | 1.17026i | −0.611741 | − | 0.791058i | \(-0.709531\pi\) |
0.925312 | − | 0.379206i | \(-0.123803\pi\) | |||||||
\(284\) | 0.355575 | − | 1.32703i | 0.0210995 | − | 0.0787445i | ||||
\(285\) | 10.7622 | + | 9.80503i | 0.637495 | + | 0.580800i | ||||
\(286\) | −3.86303 | − | 4.60789i | −0.228426 | − | 0.272470i | ||||
\(287\) | −2.10764 | − | 2.10764i | −0.124410 | − | 0.124410i | ||||
\(288\) | −0.500000 | − | 0.866025i | −0.0294628 | − | 0.0510310i | ||||
\(289\) | −5.15859 | + | 2.97832i | −0.303447 | + | 0.175195i | ||||
\(290\) | −4.82879 | − | 15.1631i | −0.283556 | − | 0.890406i | ||||
\(291\) | −10.3184 | − | 10.3184i | −0.604877 | − | 0.604877i | ||||
\(292\) | 9.24828 | + | 5.33950i | 0.541215 | + | 0.312470i | ||||
\(293\) | 20.2491 | + | 11.6908i | 1.18297 | + | 0.682986i | 0.956699 | − | 0.291080i | \(-0.0940145\pi\) |
0.226267 | + | 0.974065i | \(0.427348\pi\) | |||||||
\(294\) | −3.83599 | − | 3.83599i | −0.223720 | − | 0.223720i | ||||
\(295\) | 7.70739 | − | 14.9101i | 0.448742 | − | 0.868099i | ||||
\(296\) | 8.89318 | − | 5.13448i | 0.516906 | − | 0.298436i | ||||
\(297\) | 0.833847 | + | 1.44427i | 0.0483847 | + | 0.0838048i | ||||
\(298\) | −5.60006 | − | 5.60006i | −0.324403 | − | 0.324403i | ||||
\(299\) | −17.4063 | + | 3.06131i | −1.00663 | + | 0.177040i | ||||
\(300\) | 3.84861 | + | 3.19190i | 0.222200 | + | 0.184284i | ||||
\(301\) | −2.07664 | + | 7.75014i | −0.119696 | + | 0.446710i | ||||
\(302\) | −4.11489 | + | 15.3570i | −0.236785 | + | 0.883694i | ||||
\(303\) | −16.9125 | + | 4.53169i | −0.971597 | + | 0.260339i | ||||
\(304\) | −4.60394 | + | 4.60394i | −0.264054 | + | 0.264054i | ||||
\(305\) | 6.60682 | + | 20.7463i | 0.378305 | + | 1.18793i | ||||
\(306\) | −1.24008 | − | 4.62805i | −0.0708908 | − | 0.264568i | ||||
\(307\) | 15.1164 | 0.862739 | 0.431370 | − | 0.902175i | \(-0.358031\pi\) | ||||
0.431370 | + | 0.902175i | \(0.358031\pi\) | |||||||
\(308\) | 0.541708 | + | 2.02168i | 0.0308667 | + | 0.115196i | ||||
\(309\) | −4.43288 | − | 7.67797i | −0.252178 | − | 0.436785i | ||||
\(310\) | 13.2333 | − | 8.48406i | 0.751603 | − | 0.481862i | ||||
\(311\) | − | 32.3149i | − | 1.83241i | −0.400711 | − | 0.916205i | \(-0.631237\pi\) | ||
0.400711 | − | 0.916205i | \(-0.368763\pi\) | |||||||
\(312\) | −3.55105 | + | 0.624535i | −0.201039 | + | 0.0353573i | ||||
\(313\) | −18.4185 | + | 18.4185i | −1.04107 | + | 1.04107i | −0.0419546 | + | 0.999120i | \(0.513358\pi\) |
−0.999120 | + | 0.0419546i | \(0.986642\pi\) | |||||||
\(314\) | 2.75418 | + | 0.737982i | 0.155428 | + | 0.0416467i | ||||
\(315\) | 0.599533 | − | 2.74153i | 0.0337799 | − | 0.154468i | ||||
\(316\) | 7.40343 | + | 4.27437i | 0.416475 | + | 0.240452i | ||||
\(317\) | 14.4575i | 0.812015i | 0.913870 | + | 0.406008i | \(0.133079\pi\) | ||||
−0.913870 | + | 0.406008i | \(0.866921\pi\) | |||||||
\(318\) | 1.95195 | − | 3.38088i | 0.109460 | − | 0.189590i | ||||
\(319\) | −11.4640 | + | 3.07178i | −0.641863 | + | 0.171987i | ||||
\(320\) | −1.50593 | + | 1.65293i | −0.0841839 | + | 0.0924017i | ||||
\(321\) | −0.560383 | + | 0.970612i | −0.0312775 | + | 0.0541743i | ||||
\(322\) | 5.94219 | + | 1.59220i | 0.331145 | + | 0.0887301i | ||||
\(323\) | −27.0165 | + | 15.5980i | −1.50324 | + | 0.867896i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 15.5645 | − | 9.09650i | 0.863363 | − | 0.504583i | ||||
\(326\) | 4.15014 | 0.229855 | ||||||||
\(327\) | −16.0546 | + | 9.26915i | −0.887824 | + | 0.512585i | ||||
\(328\) | −2.29405 | − | 0.614688i | −0.126667 | − | 0.0339404i | ||||
\(329\) | −2.46956 | + | 4.27740i | −0.136151 | + | 0.235821i | ||||
\(330\) | 2.51143 | − | 2.75658i | 0.138250 | − | 0.151745i | ||||
\(331\) | −4.05566 | + | 1.08671i | −0.222919 | + | 0.0597310i | −0.368550 | − | 0.929608i | \(-0.620146\pi\) |
0.145631 | + | 0.989339i | \(0.453479\pi\) | |||||||
\(332\) | −1.83950 | + | 3.18610i | −0.100955 | + | 0.174860i | ||||
\(333\) | 10.2690i | 0.562736i | ||||||||
\(334\) | −4.66946 | − | 2.69591i | −0.255501 | − | 0.147514i | ||||
\(335\) | −0.890256 | + | 4.07094i | −0.0486399 | + | 0.222419i | ||||
\(336\) | 1.21226 | + | 0.324825i | 0.0661343 | + | 0.0177206i | ||||
\(337\) | 4.57923 | − | 4.57923i | 0.249447 | − | 0.249447i | −0.571297 | − | 0.820744i | \(-0.693559\pi\) |
0.820744 | + | 0.571297i | \(0.193559\pi\) | |||||||
\(338\) | −2.26869 | + | 12.8005i | −0.123401 | + | 0.696256i | ||||
\(339\) | 7.70962i | 0.418729i | ||||||||
\(340\) | −9.01928 | + | 5.78237i | −0.489139 | + | 0.313593i | ||||
\(341\) | −5.86190 | − | 10.1531i | −0.317440 | − | 0.549821i | ||||
\(342\) | −1.68516 | − | 6.28910i | −0.0911230 | − | 0.340076i | ||||
\(343\) | 15.5936 | 0.841974 | ||||||||
\(344\) | 1.65466 | + | 6.17528i | 0.0892134 | + | 0.332949i | ||||
\(345\) | −3.32591 | − | 10.4438i | −0.179061 | − | 0.562277i | ||||
\(346\) | −5.21001 | + | 5.21001i | −0.280092 | + | 0.280092i | ||||
\(347\) | −0.100412 | + | 0.0269053i | −0.00539040 | + | 0.00144435i | −0.261513 | − | 0.965200i | \(-0.584222\pi\) |
0.256123 | + | 0.966644i | \(0.417555\pi\) | |||||||
\(348\) | −1.84193 | + | 6.87419i | −0.0987379 | + | 0.368495i | ||||
\(349\) | −4.45057 | + | 16.6097i | −0.238233 | + | 0.889099i | 0.738431 | + | 0.674329i | \(0.235567\pi\) |
−0.976665 | + | 0.214770i | \(0.931100\pi\) | |||||||
\(350\) | −6.24801 | + | 0.582789i | −0.333970 | + | 0.0311514i | ||||
\(351\) | 1.23466 | − | 3.38757i | 0.0659014 | − | 0.180815i | ||||
\(352\) | 1.17924 | + | 1.17924i | 0.0628536 | + | 0.0628536i | ||||
\(353\) | 14.8918 | + | 25.7934i | 0.792612 | + | 1.37284i | 0.924345 | + | 0.381559i | \(0.124613\pi\) |
−0.131733 | + | 0.991285i | \(0.542054\pi\) | |||||||
\(354\) | −6.50056 | + | 3.75310i | −0.345501 | + | 0.199475i | ||||
\(355\) | 1.41066 | − | 2.72895i | 0.0748702 | − | 0.144838i | ||||
\(356\) | 3.61929 | + | 3.61929i | 0.191822 | + | 0.191822i | ||||
\(357\) | 5.20760 | + | 3.00661i | 0.275615 | + | 0.159127i | ||||
\(358\) | −2.57401 | − | 1.48610i | −0.136041 | − | 0.0785430i | ||||
\(359\) | 1.63445 | + | 1.63445i | 0.0862629 | + | 0.0862629i | 0.748922 | − | 0.662659i | \(-0.230572\pi\) |
−0.662659 | + | 0.748922i | \(0.730572\pi\) | |||||||
\(360\) | −0.678517 | − | 2.13064i | −0.0357610 | − | 0.112294i | ||||
\(361\) | −20.2585 | + | 11.6963i | −1.06624 | + | 0.615593i | ||||
\(362\) | −4.28791 | − | 7.42688i | −0.225368 | − | 0.390348i | ||||
\(363\) | 5.81157 | + | 5.81157i | 0.305028 | + | 0.305028i | ||||
\(364\) | 2.59710 | − | 3.70557i | 0.136125 | − | 0.194225i | ||||
\(365\) | 17.6516 | + | 16.0818i | 0.923929 | + | 0.841759i | ||||
\(366\) | 2.52016 | − | 9.40536i | 0.131731 | − | 0.491626i | ||||
\(367\) | 1.69791 | − | 6.33667i | 0.0886300 | − | 0.330772i | −0.907347 | − | 0.420383i | \(-0.861896\pi\) |
0.995977 | + | 0.0896112i | \(0.0285625\pi\) | |||||||
\(368\) | 4.73471 | − | 1.26866i | 0.246814 | − | 0.0661336i | ||||
\(369\) | 1.67936 | − | 1.67936i | 0.0874239 | − | 0.0874239i | ||||
\(370\) | 21.8794 | − | 6.96766i | 1.13746 | − | 0.362232i | ||||
\(371\) | 1.26809 | + | 4.73256i | 0.0658357 | + | 0.245702i | ||||
\(372\) | −7.02994 | −0.364485 | ||||||||
\(373\) | 0.688437 | + | 2.56928i | 0.0356459 | + | 0.133032i | 0.981456 | − | 0.191689i | \(-0.0613963\pi\) |
−0.945810 | + | 0.324721i | \(0.894730\pi\) | |||||||
\(374\) | 3.99522 | + | 6.91992i | 0.206588 | + | 0.357821i | ||||
\(375\) | 6.88228 | + | 8.81103i | 0.355400 | + | 0.454999i | ||||
\(376\) | 3.93547i | 0.202956i | ||||||||
\(377\) | 21.0126 | + | 14.7270i | 1.08220 | + | 0.758477i | ||||
\(378\) | −0.887437 | + | 0.887437i | −0.0456449 | + | 0.0456449i | ||||
\(379\) | −11.2762 | − | 3.02144i | −0.579219 | − | 0.155201i | −0.0426975 | − | 0.999088i | \(-0.513595\pi\) |
−0.536521 | + | 0.843887i | \(0.680262\pi\) | |||||||
\(380\) | −12.2564 | + | 7.85772i | −0.628739 | + | 0.403093i | ||||
\(381\) | 8.65641 | + | 4.99778i | 0.443481 | + | 0.256044i | ||||
\(382\) | 22.9502i | 1.17423i | ||||||||
\(383\) | −6.18679 | + | 10.7158i | −0.316130 | + | 0.547553i | −0.979677 | − | 0.200581i | \(-0.935717\pi\) |
0.663547 | + | 0.748135i | \(0.269050\pi\) | |||||||
\(384\) | 0.965926 | − | 0.258819i | 0.0492922 | − | 0.0132078i | ||||
\(385\) | 0.217562 | + | 4.67503i | 0.0110880 | + | 0.238262i | ||||
\(386\) | −4.49255 | + | 7.78132i | −0.228665 | + | 0.396059i | ||||
\(387\) | −6.17528 | − | 1.65466i | −0.313907 | − | 0.0841112i | ||||
\(388\) | 12.6374 | − | 7.29623i | 0.641569 | − | 0.370410i | ||||
\(389\) | −2.84284 | −0.144138 | −0.0720689 | − | 0.997400i | \(-0.522960\pi\) | ||||
−0.0720689 | + | 0.997400i | \(0.522960\pi\) | |||||||
\(390\) | −8.05542 | − | 0.332096i | −0.407902 | − | 0.0168163i | ||||
\(391\) | 23.4857 | 1.18772 | ||||||||
\(392\) | 4.69811 | − | 2.71245i | 0.237290 | − | 0.137000i | ||||
\(393\) | −6.80651 | − | 1.82380i | −0.343343 | − | 0.0919985i | ||||
\(394\) | −12.6889 | + | 21.9778i | −0.639257 | + | 1.10723i | ||||
\(395\) | 14.1305 | + | 12.8738i | 0.710982 | + | 0.647750i | ||||
\(396\) | −1.61087 | + | 0.431631i | −0.0809492 | + | 0.0216903i | ||||
\(397\) | 11.2077 | − | 19.4123i | 0.562499 | − | 0.974277i | −0.434778 | − | 0.900537i | \(-0.643173\pi\) |
0.997278 | − | 0.0737396i | \(-0.0234934\pi\) | |||||||
\(398\) | − | 25.2299i | − | 1.26466i | ||||||
\(399\) | 7.07665 | + | 4.08571i | 0.354276 | + | 0.204541i | ||||
\(400\) | −4.07923 | + | 2.89135i | −0.203961 | + | 0.144567i | ||||
\(401\) | −33.8471 | − | 9.06930i | −1.69024 | − | 0.452899i | −0.719791 | − | 0.694191i | \(-0.755762\pi\) |
−0.970453 | + | 0.241292i | \(0.922429\pi\) | |||||||
\(402\) | 1.31777 | − | 1.31777i | 0.0657243 | − | 0.0657243i | ||||
\(403\) | −8.67960 | + | 23.8144i | −0.432362 | + | 1.18628i | ||||
\(404\) | − | 17.5091i | − | 0.871110i | ||||||
\(405\) | 2.18444 | + | 0.477706i | 0.108546 | + | 0.0237374i | ||||
\(406\) | −4.46581 | − | 7.73501i | −0.221634 | − | 0.383882i | ||||
\(407\) | −4.43240 | − | 16.5420i | −0.219706 | − | 0.819954i | ||||
\(408\) | 4.79131 | 0.237205 | ||||||||
\(409\) | −4.62665 | − | 17.2669i | −0.228773 | − | 0.853793i | −0.980858 | − | 0.194727i | \(-0.937618\pi\) |
0.752084 | − | 0.659067i | \(-0.229049\pi\) | |||||||
\(410\) | −4.71757 | − | 2.43863i | −0.232984 | − | 0.120435i | ||||
\(411\) | −2.70767 | + | 2.70767i | −0.133559 | + | 0.133559i | ||||
\(412\) | 8.56367 | − | 2.29463i | 0.421902 | − | 0.113048i | ||||
\(413\) | 2.43820 | − | 9.09947i | 0.119976 | − | 0.447756i | ||||
\(414\) | −1.26866 | + | 4.73471i | −0.0623514 | + | 0.232699i | ||||
\(415\) | −5.54030 | + | 6.08112i | −0.271962 | + | 0.298511i | ||||
\(416\) | 0.315825 | − | 3.59169i | 0.0154846 | − | 0.176097i | ||||
\(417\) | 11.2185 | + | 11.2185i | 0.549374 | + | 0.549374i | ||||
\(418\) | 5.42914 | + | 9.40355i | 0.265548 | + | 0.459943i | ||||
\(419\) | −5.50409 | + | 3.17779i | −0.268893 | + | 0.155245i | −0.628384 | − | 0.777903i | \(-0.716283\pi\) |
0.359492 | + | 0.933148i | \(0.382950\pi\) | |||||||
\(420\) | 2.49295 | + | 1.28867i | 0.121643 | + | 0.0628805i | ||||
\(421\) | −10.3731 | − | 10.3731i | −0.505556 | − | 0.505556i | 0.407603 | − | 0.913159i | \(-0.366365\pi\) |
−0.913159 | + | 0.407603i | \(0.866365\pi\) | |||||||
\(422\) | −2.51505 | − | 1.45207i | −0.122431 | − | 0.0706855i | ||||
\(423\) | −3.40821 | − | 1.96773i | −0.165713 | − | 0.0956745i | ||||
\(424\) | 2.76048 | + | 2.76048i | 0.134061 | + | 0.134061i | ||||
\(425\) | −22.4644 | + | 8.32271i | −1.08968 | + | 0.403711i | ||||
\(426\) | −1.18978 | + | 0.686919i | −0.0576450 | + | 0.0332813i | ||||
\(427\) | 6.11019 | + | 10.5832i | 0.295693 | + | 0.512155i | ||||
\(428\) | −0.792501 | − | 0.792501i | −0.0383070 | − | 0.0383070i | ||||
\(429\) | −0.526700 | + | 5.98985i | −0.0254293 | + | 0.289193i | ||||
\(430\) | 0.664548 | + | 14.2800i | 0.0320474 | + | 0.688643i | ||||
\(431\) | −5.58701 | + | 20.8510i | −0.269117 | + | 1.00436i | 0.690565 | + | 0.723270i | \(0.257362\pi\) |
−0.959682 | + | 0.281088i | \(0.909305\pi\) | |||||||
\(432\) | −0.258819 | + | 0.965926i | −0.0124524 | + | 0.0464731i | ||||
\(433\) | 6.65778 | − | 1.78395i | 0.319952 | − | 0.0857310i | −0.0952684 | − | 0.995452i | \(-0.530371\pi\) |
0.415221 | + | 0.909721i | \(0.363704\pi\) | |||||||
\(434\) | 6.23863 | − | 6.23863i | 0.299464 | − | 0.299464i | ||||
\(435\) | −7.30744 | + | 14.1364i | −0.350365 | + | 0.677787i | ||||
\(436\) | −4.79807 | − | 17.9066i | −0.229786 | − | 0.857572i | ||||
\(437\) | 31.9150 | 1.52670 | ||||||||
\(438\) | −2.76393 | − | 10.3151i | −0.132066 | − | 0.492875i | ||||
\(439\) | 7.70318 | + | 13.3423i | 0.367653 | + | 0.636793i | 0.989198 | − | 0.146585i | \(-0.0468281\pi\) |
−0.621545 | + | 0.783378i | \(0.713495\pi\) | |||||||
\(440\) | 2.01265 | + | 3.13931i | 0.0959494 | + | 0.149661i | ||||
\(441\) | 5.42491i | 0.258329i | ||||||||
\(442\) | 5.91565 | − | 16.2309i | 0.281379 | − | 0.772024i | ||||
\(443\) | 18.8974 | − | 18.8974i | 0.897842 | − | 0.897842i | −0.0974031 | − | 0.995245i | \(-0.531054\pi\) |
0.995245 | + | 0.0974031i | \(0.0310536\pi\) | |||||||
\(444\) | −9.91906 | − | 2.65780i | −0.470738 | − | 0.126134i | ||||
\(445\) | 6.17718 | + | 9.63509i | 0.292826 | + | 0.456747i | ||||
\(446\) | 3.91894 | + | 2.26260i | 0.185567 | + | 0.107137i | ||||
\(447\) | 7.91968i | 0.374588i | ||||||||
\(448\) | −0.627513 | + | 1.08688i | −0.0296472 | + | 0.0513505i | ||||
\(449\) | −15.8997 | + | 4.26032i | −0.750354 | + | 0.201057i | −0.613675 | − | 0.789559i | \(-0.710310\pi\) |
−0.136679 | + | 0.990615i | \(0.543643\pi\) | |||||||
\(450\) | −0.464364 | − | 4.97839i | −0.0218903 | − | 0.234684i | ||||
\(451\) | −1.98036 | + | 3.43009i | −0.0932516 | + | 0.161517i | ||||
\(452\) | −7.44692 | − | 1.99540i | −0.350274 | − | 0.0938556i | ||||
\(453\) | 13.7687 | − | 7.94935i | 0.646909 | − | 0.373493i | ||||
\(454\) | −23.3804 | −1.09730 | ||||||||
\(455\) | 7.44339 | − | 6.85396i | 0.348952 | − | 0.321319i | ||||
\(456\) | 6.51095 | 0.304903 | ||||||||
\(457\) | −15.1270 | + | 8.73356i | −0.707610 | + | 0.408539i | −0.810176 | − | 0.586187i | \(-0.800628\pi\) |
0.102565 | + | 0.994726i | \(0.467295\pi\) | |||||||
\(458\) | −12.9650 | − | 3.47396i | −0.605814 | − | 0.162327i | ||||
\(459\) | −2.39565 | + | 4.14939i | −0.111820 | + | 0.193677i | ||||
\(460\) | 10.9488 | − | 0.509523i | 0.510489 | − | 0.0237566i | ||||
\(461\) | −10.3366 | + | 2.76968i | −0.481423 | + | 0.128997i | −0.491365 | − | 0.870954i | \(-0.663502\pi\) |
0.00994207 | + | 0.999951i | \(0.496835\pi\) | |||||||
\(462\) | 1.04650 | − | 1.81259i | 0.0486876 | − | 0.0843294i | ||||
\(463\) | 26.0675i | 1.21146i | 0.795671 | + | 0.605729i | \(0.207118\pi\) | ||||
−0.795671 | + | 0.605729i | \(0.792882\pi\) | |||||||
\(464\) | −6.16323 | − | 3.55834i | −0.286121 | − | 0.165192i | ||||
\(465\) | −15.3565 | − | 3.35824i | −0.712141 | − | 0.155735i | ||||
\(466\) | −11.5800 | − | 3.10284i | −0.536432 | − | 0.143737i | ||||
\(467\) | 11.2734 | − | 11.2734i | 0.521672 | − | 0.521672i | −0.396404 | − | 0.918076i | \(-0.629742\pi\) |
0.918076 | + | 0.396404i | \(0.129742\pi\) | |||||||
\(468\) | 2.95258 | + | 2.06936i | 0.136483 | + | 0.0956561i | ||||
\(469\) | 2.33887i | 0.107999i | ||||||||
\(470\) | −1.88000 | + | 8.59681i | −0.0867177 | + | 0.396541i | ||||
\(471\) | −1.42567 | − | 2.46933i | −0.0656915 | − | 0.113781i | ||||
\(472\) | −1.94275 | − | 7.25043i | −0.0894221 | − | 0.333728i | ||||
\(473\) | 10.6618 | 0.490229 | ||||||||
\(474\) | −2.21258 | − | 8.25745i | −0.101627 | − | 0.379277i | ||||
\(475\) | −30.5271 | + | 11.3098i | −1.40068 | + | 0.518930i | ||||
\(476\) | −4.25199 | + | 4.25199i | −0.194889 | + | 0.194889i | ||||
\(477\) | −3.77088 | + | 1.01041i | −0.172657 | + | 0.0462633i | ||||
\(478\) | −5.46187 | + | 20.3840i | −0.249820 | + | 0.932342i | ||||
\(479\) | −5.77188 | + | 21.5410i | −0.263724 | + | 0.984232i | 0.699303 | + | 0.714826i | \(0.253494\pi\) |
−0.963027 | + | 0.269406i | \(0.913173\pi\) | |||||||
\(480\) | 2.23365 | − | 0.103947i | 0.101952 | − | 0.00474453i | ||||
\(481\) | −21.2502 | + | 30.3200i | −0.968924 | + | 1.38247i | ||||
\(482\) | −4.93813 | − | 4.93813i | −0.224925 | − | 0.224925i | ||||
\(483\) | −3.07590 | − | 5.32762i | −0.139958 | − | 0.242415i | ||||
\(484\) | −7.11768 | + | 4.10940i | −0.323531 | + | 0.186791i | ||||
\(485\) | 31.0912 | − | 9.90123i | 1.41178 | − | 0.449592i | ||||
\(486\) | −0.707107 | − | 0.707107i | −0.0320750 | − | 0.0320750i | ||||
\(487\) | −21.0987 | − | 12.1814i | −0.956075 | − | 0.551990i | −0.0611119 | − | 0.998131i | \(-0.519465\pi\) |
−0.894963 | + | 0.446141i | \(0.852798\pi\) | |||||||
\(488\) | 8.43262 | + | 4.86857i | 0.381727 | + | 0.220390i | ||||
\(489\) | −2.93459 | − | 2.93459i | −0.132707 | − | 0.132707i | ||||
\(490\) | 11.5585 | − | 3.68089i | 0.522160 | − | 0.166286i | ||||
\(491\) | 33.1654 | − | 19.1480i | 1.49673 | − | 0.864139i | 0.496740 | − | 0.867899i | \(-0.334530\pi\) |
0.999993 | + | 0.00376002i | \(0.00119685\pi\) | |||||||
\(492\) | 1.18749 | + | 2.05678i | 0.0535360 | + | 0.0927270i | ||||
\(493\) | −24.1111 | − | 24.1111i | −1.08591 | − | 1.08591i | ||||
\(494\) | 8.03883 | − | 22.0563i | 0.361684 | − | 0.992360i | ||||
\(495\) | −3.72505 | + | 0.173353i | −0.167428 | + | 0.00779162i | ||||
\(496\) | 1.81948 | − | 6.79040i | 0.0816972 | − | 0.304898i | ||||
\(497\) | 0.446256 | − | 1.66545i | 0.0200173 | − | 0.0747057i | ||||
\(498\) | 3.55363 | − | 0.952193i | 0.159242 | − | 0.0426688i | ||||
\(499\) | −9.21088 | + | 9.21088i | −0.412335 | + | 0.412335i | −0.882551 | − | 0.470216i | \(-0.844176\pi\) |
0.470216 | + | 0.882551i | \(0.344176\pi\) | |||||||
\(500\) | −10.2921 | + | 4.36731i | −0.460275 | + | 0.195312i | ||||
\(501\) | 1.39551 | + | 5.20810i | 0.0623467 | + | 0.232681i | ||||
\(502\) | 4.21696 | 0.188212 | ||||||||
\(503\) | −6.03151 | − | 22.5099i | −0.268932 | − | 1.00367i | −0.959800 | − | 0.280686i | \(-0.909438\pi\) |
0.690868 | − | 0.722981i | \(-0.257229\pi\) | |||||||
\(504\) | −0.627513 | − | 1.08688i | −0.0279516 | − | 0.0484137i | ||||
\(505\) | 8.36420 | − | 38.2477i | 0.372202 | − | 1.70200i | ||||
\(506\) | − | 8.17460i | − | 0.363405i | ||||||
\(507\) | 10.6555 | − | 7.44712i | 0.473229 | − | 0.330738i | ||||
\(508\) | −7.06793 | + | 7.06793i | −0.313589 | + | 0.313589i | ||||
\(509\) | 6.05234 | + | 1.62172i | 0.268265 | + | 0.0718815i | 0.390444 | − | 0.920627i | \(-0.372321\pi\) |
−0.122179 | + | 0.992508i | \(0.538988\pi\) | |||||||
\(510\) | 10.4663 | + | 2.28884i | 0.463458 | + | 0.101351i | ||||
\(511\) | 11.6068 | + | 6.70121i | 0.513456 | + | 0.296444i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −3.25548 | + | 5.63865i | −0.143733 | + | 0.248953i | ||||
\(514\) | −11.7678 | + | 3.15318i | −0.519057 | + | 0.139081i | ||||
\(515\) | 19.8030 | − | 0.921573i | 0.872625 | − | 0.0406093i | ||||
\(516\) | 3.19656 | − | 5.53661i | 0.140721 | − | 0.243735i | ||||
\(517\) | 6.33952 | + | 1.69867i | 0.278812 | + | 0.0747074i | ||||
\(518\) | 11.1612 | − | 6.44391i | 0.490394 | − | 0.283129i | ||||
\(519\) | 7.36806 | 0.323422 | ||||||||
\(520\) | 2.40567 | − | 7.69498i | 0.105496 | − | 0.337447i | ||||
\(521\) | −27.8634 | −1.22072 | −0.610358 | − | 0.792126i | \(-0.708974\pi\) | ||||
−0.610358 | + | 0.792126i | \(0.708974\pi\) | |||||||
\(522\) | 6.16323 | − | 3.55834i | 0.269757 | − | 0.155744i | ||||
\(523\) | 32.8088 | + | 8.79109i | 1.43463 | + | 0.384408i | 0.890649 | − | 0.454691i | \(-0.150250\pi\) |
0.543979 | + | 0.839099i | \(0.316917\pi\) | |||||||
\(524\) | 3.52331 | − | 6.10255i | 0.153916 | − | 0.266591i | ||||
\(525\) | 4.83010 | + | 4.00591i | 0.210803 | + | 0.174832i | ||||
\(526\) | 16.2092 | − | 4.34325i | 0.706756 | − | 0.189375i | ||||
\(527\) | 16.8413 | − | 29.1700i | 0.733619 | − | 1.27067i | ||||
\(528\) | − | 1.66769i | − | 0.0725771i | ||||||
\(529\) | −0.889431 | − | 0.513513i | −0.0386709 | − | 0.0223267i | ||||
\(530\) | 4.71142 | + | 7.34881i | 0.204651 | + | 0.319212i | ||||
\(531\) | 7.25043 | + | 1.94275i | 0.314642 | + | 0.0843080i | ||||
\(532\) | −5.77806 | + | 5.77806i | −0.250511 | + | 0.250511i | ||||
\(533\) | 8.43364 | − | 1.48325i | 0.365301 | − | 0.0642468i | ||||
\(534\) | − | 5.11845i | − | 0.221497i | ||||||
\(535\) | −1.35259 | − | 2.10976i | −0.0584777 | − | 0.0912128i | ||||
\(536\) | 0.931803 | + | 1.61393i | 0.0402478 | + | 0.0697112i | ||||
\(537\) | 0.769264 | + | 2.87093i | 0.0331962 | + | 0.123890i | ||||
\(538\) | 5.07423 | 0.218766 | ||||||||
\(539\) | −2.34156 | − | 8.73882i | −0.100858 | − | 0.376408i | ||||
\(540\) | −1.02680 | + | 1.98637i | −0.0441866 | + | 0.0854798i | ||||
\(541\) | −14.8357 | + | 14.8357i | −0.637838 | + | 0.637838i | −0.950022 | − | 0.312184i | \(-0.898939\pi\) |
0.312184 | + | 0.950022i | \(0.398939\pi\) | |||||||
\(542\) | 29.9794 | − | 8.03296i | 1.28773 | − | 0.345045i | ||||
\(543\) | −2.21959 | + | 8.28361i | −0.0952515 | + | 0.355484i | ||||
\(544\) | −1.24008 | + | 4.62805i | −0.0531681 | + | 0.198426i | ||||
\(545\) | −1.92701 | − | 41.4081i | −0.0825440 | − | 1.77373i | ||||
\(546\) | −4.45666 | + | 0.783807i | −0.190727 | + | 0.0335439i | ||||
\(547\) | −9.75842 | − | 9.75842i | −0.417240 | − | 0.417240i | 0.467011 | − | 0.884251i | \(-0.345331\pi\) |
−0.884251 | + | 0.467011i | \(0.845331\pi\) | |||||||
\(548\) | −1.91461 | − | 3.31620i | −0.0817881 | − | 0.141661i | ||||
\(549\) | −8.43262 | + | 4.86857i | −0.359895 | + | 0.207786i | ||||
\(550\) | 2.89686 | + | 7.81910i | 0.123522 | + | 0.333408i | ||||
\(551\) | −32.7648 | − | 32.7648i | −1.39583 | − | 1.39583i | ||||
\(552\) | −4.24503 | − | 2.45087i | −0.180680 | − | 0.104316i | ||||
\(553\) | 9.29149 | + | 5.36445i | 0.395114 | + | 0.228119i | ||||
\(554\) | −19.5675 | − | 19.5675i | −0.831341 | − | 0.831341i | ||||
\(555\) | −20.3980 | − | 10.5442i | −0.865846 | − | 0.447577i | ||||
\(556\) | −13.7399 | + | 7.93271i | −0.582700 | + | 0.336422i | ||||
\(557\) | −11.3638 | − | 19.6827i | −0.481499 | − | 0.833982i | 0.518275 | − | 0.855214i | \(-0.326574\pi\) |
−0.999775 | + | 0.0212324i | \(0.993241\pi\) | |||||||
\(558\) | 4.97092 | + | 4.97092i | 0.210436 | + | 0.210436i | ||||
\(559\) | −14.8089 | − | 17.6644i | −0.626352 | − | 0.747124i | ||||
\(560\) | −1.88998 | + | 2.07447i | −0.0798662 | + | 0.0876624i | ||||
\(561\) | 2.06808 | − | 7.71817i | 0.0873143 | − | 0.325861i | ||||
\(562\) | −2.33116 | + | 8.70000i | −0.0983340 | + | 0.366988i | ||||
\(563\) | 32.8109 | − | 8.79167i | 1.38282 | − | 0.370525i | 0.510673 | − | 0.859775i | \(-0.329396\pi\) |
0.872143 | + | 0.489250i | \(0.162730\pi\) | |||||||
\(564\) | 2.78280 | − | 2.78280i | 0.117177 | − | 0.117177i | ||||
\(565\) | −15.3142 | − | 7.91627i | −0.644272 | − | 0.333040i | ||||
\(566\) | −5.27508 | − | 19.6869i | −0.221728 | − | 0.827501i | ||||
\(567\) | 1.25503 | 0.0527061 | ||||||||
\(568\) | −0.355575 | − | 1.32703i | −0.0149196 | − | 0.0556808i | ||||
\(569\) | 3.96963 | + | 6.87559i | 0.166415 | + | 0.288240i | 0.937157 | − | 0.348908i | \(-0.113447\pi\) |
−0.770742 | + | 0.637148i | \(0.780114\pi\) | |||||||
\(570\) | 14.2228 | + | 3.11032i | 0.595728 | + | 0.130277i | ||||
\(571\) | − | 4.89604i | − | 0.204893i | −0.994739 | − | 0.102446i | \(-0.967333\pi\) | ||
0.994739 | − | 0.102446i | \(-0.0326670\pi\) | |||||||
\(572\) | −5.64943 | − | 2.05904i | −0.236214 | − | 0.0860928i | ||||
\(573\) | 16.2282 | − | 16.2282i | 0.677944 | − | 0.677944i | ||||
\(574\) | −2.87909 | − | 0.771449i | −0.120171 | − | 0.0321997i | ||||
\(575\) | 24.1604 | + | 4.11727i | 1.00756 | + | 0.171702i | ||||
\(576\) | −0.866025 | − | 0.500000i | −0.0360844 | − | 0.0208333i | ||||
\(577\) | 5.23478i | 0.217927i | 0.994046 | + | 0.108963i | \(0.0347531\pi\) | ||||
−0.994046 | + | 0.108963i | \(0.965247\pi\) | |||||||
\(578\) | −2.97832 | + | 5.15859i | −0.123882 | + | 0.214569i | ||||
\(579\) | 8.67893 | − | 2.32551i | 0.360684 | − | 0.0966450i | ||||
\(580\) | −11.7634 | − | 10.7172i | −0.488448 | − | 0.445008i | ||||
\(581\) | −2.30862 | + | 3.99864i | −0.0957775 | + | 0.165892i | ||||
\(582\) | −14.0952 | − | 3.77681i | −0.584266 | − | 0.156554i | ||||
\(583\) | 5.63828 | − | 3.25526i | 0.233514 | − | 0.134819i | ||||
\(584\) | 10.6790 | 0.441900 | ||||||||
\(585\) | 5.46121 | + | 5.93087i | 0.225793 | + | 0.245211i | ||||
\(586\) | 23.3817 | 0.965887 | ||||||||
\(587\) | 4.85069 | − | 2.80055i | 0.200210 | − | 0.115591i | −0.396544 | − | 0.918016i | \(-0.629790\pi\) |
0.596753 | + | 0.802425i | \(0.296457\pi\) | |||||||
\(588\) | −5.24006 | − | 1.40407i | −0.216096 | − | 0.0579029i | ||||
\(589\) | 22.8858 | − | 39.6394i | 0.942994 | − | 1.63331i | ||||
\(590\) | −0.780250 | − | 16.7662i | −0.0321224 | − | 0.690254i | ||||
\(591\) | 24.5131 | − | 6.56826i | 1.00833 | − | 0.270182i | ||||
\(592\) | 5.13448 | − | 8.89318i | 0.211026 | − | 0.365508i | ||||
\(593\) | − | 3.71798i | − | 0.152679i | −0.997082 | − | 0.0763396i | \(-0.975677\pi\) | ||
0.997082 | − | 0.0763396i | \(-0.0243233\pi\) | |||||||
\(594\) | 1.44427 | + | 0.833847i | 0.0592590 | + | 0.0342132i | ||||
\(595\) | −11.3194 | + | 7.25703i | −0.464051 | + | 0.297509i | ||||
\(596\) | −7.64982 | − | 2.04976i | −0.313349 | − | 0.0839616i | ||||
\(597\) | −17.8402 | + | 17.8402i | −0.730152 | + | 0.730152i | ||||
\(598\) | −13.5437 | + | 11.3543i | −0.553841 | + | 0.464313i | ||||
\(599\) | 25.7525i | 1.05222i | 0.850416 | + | 0.526110i | \(0.176350\pi\) | ||||
−0.850416 | + | 0.526110i | \(0.823650\pi\) | |||||||
\(600\) | 4.92894 | + | 0.839961i | 0.201223 | + | 0.0342912i | ||||
\(601\) | −21.0389 | − | 36.4405i | −0.858195 | − | 1.48644i | −0.873649 | − | 0.486557i | \(-0.838253\pi\) |
0.0154540 | − | 0.999881i | \(-0.495081\pi\) | |||||||
\(602\) | 2.07664 | + | 7.75014i | 0.0846377 | + | 0.315872i | ||||
\(603\) | −1.86361 | −0.0758919 | ||||||||
\(604\) | 4.11489 | + | 15.3570i | 0.167432 | + | 0.624866i | ||||
\(605\) | −17.5113 | + | 5.57659i | −0.711934 | + | 0.226721i | ||||
\(606\) | −12.3808 | + | 12.3808i | −0.502936 | + | 0.502936i | ||||
\(607\) | 34.4515 | − | 9.23125i | 1.39834 | − | 0.374685i | 0.520593 | − | 0.853805i | \(-0.325711\pi\) |
0.877750 | + | 0.479120i | \(0.159044\pi\) | |||||||
\(608\) | −1.68516 | + | 6.28910i | −0.0683422 | + | 0.255057i | ||||
\(609\) | −2.31167 | + | 8.62728i | −0.0936737 | + | 0.349595i | ||||
\(610\) | 16.0948 | + | 14.6634i | 0.651661 | + | 0.593705i | ||||
\(611\) | −5.99109 | − | 12.8627i | −0.242374 | − | 0.520370i | ||||
\(612\) | −3.38797 | − | 3.38797i | −0.136950 | − | 0.136950i | ||||
\(613\) | −12.4662 | − | 21.5921i | −0.503505 | − | 0.872096i | −0.999992 | − | 0.00405171i | \(-0.998710\pi\) |
0.496487 | − | 0.868044i | \(-0.334623\pi\) | |||||||
\(614\) | 13.0912 | − | 7.55821i | 0.528318 | − | 0.305024i | ||||
\(615\) | 1.61146 | + | 5.06020i | 0.0649802 | + | 0.204047i | ||||
\(616\) | 1.47997 | + | 1.47997i | 0.0596299 | + | 0.0596299i | ||||
\(617\) | 31.0469 | + | 17.9249i | 1.24990 | + | 0.721631i | 0.971090 | − | 0.238715i | \(-0.0767262\pi\) |
0.278811 | + | 0.960346i | \(0.410060\pi\) | |||||||
\(618\) | −7.67797 | − | 4.43288i | −0.308853 | − | 0.178317i | ||||
\(619\) | 11.9813 | + | 11.9813i | 0.481570 | + | 0.481570i | 0.905633 | − | 0.424063i | \(-0.139396\pi\) |
−0.424063 | + | 0.905633i | \(0.639396\pi\) | |||||||
\(620\) | 7.21837 | − | 13.9641i | 0.289897 | − | 0.560811i | ||||
\(621\) | 4.24503 | − | 2.45087i | 0.170347 | − | 0.0983500i | ||||
\(622\) | −16.1574 | − | 27.9855i | −0.647855 | − | 1.12212i | ||||
\(623\) | 4.54230 | + | 4.54230i | 0.181983 | + | 0.181983i | ||||
\(624\) | −2.76303 | + | 2.31639i | −0.110610 | + | 0.0927297i | ||||
\(625\) | −24.5687 | + | 4.62357i | −0.982749 | + | 0.184943i | ||||
\(626\) | −6.74163 | + | 25.1601i | −0.269450 | + | 1.00560i | ||||
\(627\) | 2.81033 | − | 10.4883i | 0.112234 | − | 0.418862i | ||||
\(628\) | 2.75418 | − | 0.737982i | 0.109904 | − | 0.0294487i | ||||
\(629\) | 34.7909 | − | 34.7909i | 1.38720 | − | 1.38720i | ||||
\(630\) | −0.851556 | − | 2.67400i | −0.0339268 | − | 0.106535i | ||||
\(631\) | 0.678114 | + | 2.53076i | 0.0269953 | + | 0.100748i | 0.978109 | − | 0.208093i | \(-0.0667257\pi\) |
−0.951114 | + | 0.308841i | \(0.900059\pi\) | |||||||
\(632\) | 8.54874 | 0.340051 | ||||||||
\(633\) | 0.751645 | + | 2.80518i | 0.0298752 | + | 0.111496i | ||||
\(634\) | 7.22876 | + | 12.5206i | 0.287091 | + | 0.497256i | ||||
\(635\) | −18.8159 | + | 12.0631i | −0.746686 | + | 0.478710i | ||||
\(636\) | − | 3.90391i | − | 0.154800i | ||||||
\(637\) | −11.2261 | + | 16.0175i | −0.444794 | + | 0.634637i | ||||
\(638\) | −8.39226 | + | 8.39226i | −0.332253 | + | 0.332253i | ||||
\(639\) | 1.32703 | + | 0.355575i | 0.0524963 | + | 0.0140663i | ||||
\(640\) | −0.477706 | + | 2.18444i | −0.0188830 | + | 0.0863477i | ||||
\(641\) | −10.5572 | − | 6.09522i | −0.416986 | − | 0.240747i | 0.276801 | − | 0.960927i | \(-0.410726\pi\) |
−0.693787 | + | 0.720180i | \(0.744059\pi\) | |||||||
\(642\) | 1.12077i | 0.0442331i | ||||||||
\(643\) | 17.3974 | − | 30.1333i | 0.686088 | − | 1.18834i | −0.287005 | − | 0.957929i | \(-0.592660\pi\) |
0.973093 | − | 0.230411i | \(-0.0740070\pi\) | |||||||
\(644\) | 5.94219 | − | 1.59220i | 0.234155 | − | 0.0627417i | ||||
\(645\) | 9.62758 | − | 10.5674i | 0.379085 | − | 0.416091i | ||||
\(646\) | −15.5980 | + | 27.0165i | −0.613695 | + | 1.06295i | ||||
\(647\) | −25.0137 | − | 6.70240i | −0.983389 | − | 0.263498i | −0.268918 | − | 0.963163i | \(-0.586666\pi\) |
−0.714471 | + | 0.699665i | \(0.753333\pi\) | |||||||
\(648\) | 0.866025 | − | 0.500000i | 0.0340207 | − | 0.0196419i | ||||
\(649\) | −12.5180 | −0.491376 | ||||||||
\(650\) | 8.93100 | − | 15.6601i | 0.350303 | − | 0.614238i | ||||
\(651\) | −8.82276 | −0.345791 | ||||||||
\(652\) | 3.59412 | − | 2.07507i | 0.140757 | − | 0.0812659i | ||||
\(653\) | −11.7499 | − | 3.14838i | −0.459810 | − | 0.123206i | 0.0214759 | − | 0.999769i | \(-0.493163\pi\) |
−0.481286 | + | 0.876564i | \(0.659830\pi\) | |||||||
\(654\) | −9.26915 | + | 16.0546i | −0.362453 | + | 0.627786i | ||||
\(655\) | 10.6117 | − | 11.6476i | 0.414633 | − | 0.455109i | ||||
\(656\) | −2.29405 | + | 0.614688i | −0.0895674 | + | 0.0239995i | ||||
\(657\) | −5.33950 | + | 9.24828i | −0.208314 | + | 0.360810i | ||||
\(658\) | 4.93911i | 0.192547i | ||||||||
\(659\) | −4.99063 | − | 2.88134i | −0.194407 | − | 0.112241i | 0.399637 | − | 0.916674i | \(-0.369136\pi\) |
−0.594044 | + | 0.804432i | \(0.702470\pi\) | |||||||
\(660\) | 0.796667 | − | 3.64299i | 0.0310102 | − | 0.141803i | ||||
\(661\) | 21.4446 | + | 5.74606i | 0.834098 | + | 0.223496i | 0.650501 | − | 0.759506i | \(-0.274559\pi\) |
0.183597 | + | 0.983002i | \(0.441226\pi\) | |||||||
\(662\) | −2.96895 | + | 2.96895i | −0.115392 | + | 0.115392i | ||||
\(663\) | −15.6600 | + | 7.29397i | −0.608182 | + | 0.283274i | ||||
\(664\) | 3.67899i | 0.142773i | ||||||||
\(665\) | −15.3821 | + | 9.86164i | −0.596491 | + | 0.382418i | ||||
\(666\) | 5.13448 | + | 8.89318i | 0.198957 | + | 0.344604i | ||||
\(667\) | 9.02867 | + | 33.6955i | 0.349591 | + | 1.30469i | ||||
\(668\) | −5.39183 | −0.208616 | ||||||||
\(669\) | −1.17121 | − | 4.37101i | −0.0452816 | − | 0.168993i | ||||
\(670\) | 1.26449 | + | 3.97067i | 0.0488514 | + | 0.153400i | ||||
\(671\) | 11.4824 | − | 11.4824i | 0.443274 | − | 0.443274i | ||||
\(672\) | 1.21226 | − | 0.324825i | 0.0467640 | − | 0.0125304i | ||||
\(673\) | −10.8866 | + | 40.6294i | −0.419649 | + | 1.56615i | 0.355690 | + | 0.934604i | \(0.384246\pi\) |
−0.775338 | + | 0.631546i | \(0.782421\pi\) | |||||||
\(674\) | 1.67612 | − | 6.25535i | 0.0645615 | − | 0.240947i | ||||
\(675\) | −3.19190 | + | 3.84861i | −0.122856 | + | 0.148133i | ||||
\(676\) | 4.43551 | + | 12.2199i | 0.170596 | + | 0.469997i | ||||
\(677\) | −30.1855 | − | 30.1855i | −1.16012 | − | 1.16012i | −0.984448 | − | 0.175676i | \(-0.943789\pi\) |
−0.175676 | − | 0.984448i | \(-0.556211\pi\) | |||||||
\(678\) | 3.85481 | + | 6.67673i | 0.148043 | + | 0.256418i | ||||
\(679\) | 15.8603 | − | 9.15696i | 0.608663 | − | 0.351412i | ||||
\(680\) | −4.91974 | + | 9.51732i | −0.188663 | + | 0.364973i | ||||
\(681\) | 16.5325 | + | 16.5325i | 0.633525 | + | 0.633525i | ||||
\(682\) | −10.1531 | − | 5.86190i | −0.388783 | − | 0.224464i | ||||
\(683\) | 16.9261 | + | 9.77230i | 0.647660 | + | 0.373927i | 0.787559 | − | 0.616239i | \(-0.211345\pi\) |
−0.139899 | + | 0.990166i | \(0.544678\pi\) | |||||||
\(684\) | −4.60394 | − | 4.60394i | −0.176036 | − | 0.176036i | ||||
\(685\) | −2.59819 | − | 8.15868i | −0.0992717 | − | 0.311727i | ||||
\(686\) | 13.5044 | − | 7.79679i | 0.515602 | − | 0.297683i | ||||
\(687\) | 6.71117 | + | 11.6241i | 0.256047 | + | 0.443487i | ||||
\(688\) | 4.52062 | + | 4.52062i | 0.172347 | + | 0.172347i | ||||
\(689\) | −13.2247 | − | 4.82001i | −0.503823 | − | 0.183628i | ||||
\(690\) | −8.10224 | − | 7.38166i | −0.308447 | − | 0.281015i | ||||
\(691\) | −3.95977 | + | 14.7781i | −0.150637 | + | 0.562184i | 0.848803 | + | 0.528709i | \(0.177324\pi\) |
−0.999440 | + | 0.0334744i | \(0.989343\pi\) | |||||||
\(692\) | −1.90699 | + | 7.11700i | −0.0724931 | + | 0.270548i | ||||
\(693\) | −2.02168 | + | 0.541708i | −0.0767974 | + | 0.0205778i | ||||
\(694\) | −0.0735068 | + | 0.0735068i | −0.00279028 | + | 0.00279028i | ||||
\(695\) | −33.8034 | + | 10.7650i | −1.28224 | + | 0.408338i | ||||
\(696\) | 1.84193 | + | 6.87419i | 0.0698183 | + | 0.260565i | ||||
\(697\) | −11.3792 | −0.431019 | ||||||||
\(698\) | 4.45057 | + | 16.6097i | 0.168456 | + | 0.628688i | ||||
\(699\) | 5.99424 | + | 10.3823i | 0.226723 | + | 0.392695i | ||||
\(700\) | −5.11954 | + | 3.62871i | −0.193500 | + | 0.137153i | ||||
\(701\) | − | 25.6806i | − | 0.969944i | −0.874530 | − | 0.484972i | \(-0.838830\pi\) | ||
0.874530 | − | 0.484972i | \(-0.161170\pi\) | |||||||
\(702\) | −0.624535 | − | 3.55105i | −0.0235715 | − | 0.134026i | ||||
\(703\) | 47.2777 | − | 47.2777i | 1.78311 | − | 1.78311i | ||||
\(704\) | 1.61087 | + | 0.431631i | 0.0607119 | + | 0.0162677i | ||||
\(705\) | 7.40822 | − | 4.74950i | 0.279010 | − | 0.178877i | ||||
\(706\) | 25.7934 | + | 14.8918i | 0.970747 | + | 0.560461i | ||||
\(707\) | − | 21.9744i | − | 0.826432i | ||||||
\(708\) | −3.75310 | + | 6.50056i | −0.141050 | + | 0.244306i | ||||
\(709\) | −2.34589 | + | 0.628580i | −0.0881018 | + | 0.0236068i | −0.302601 | − | 0.953117i | \(-0.597855\pi\) |
0.214499 | + | 0.976724i | \(0.431188\pi\) | |||||||
\(710\) | −0.142807 | − | 3.06867i | −0.00535945 | − | 0.115165i | ||||
\(711\) | −4.27437 | + | 7.40343i | −0.160301 | + | 0.277650i | ||||
\(712\) | 4.94404 | + | 1.32475i | 0.185286 | + | 0.0496472i | ||||
\(713\) | −29.8423 | + | 17.2295i | −1.11760 | + | 0.645248i | ||||
\(714\) | 6.01322 | 0.225039 | ||||||||
\(715\) | −11.3572 | − | 7.19662i | −0.424737 | − | 0.269138i | ||||
\(716\) | −2.97221 | −0.111077 | ||||||||
\(717\) | 18.2758 | − | 10.5515i | 0.682522 | − | 0.394054i | ||||
\(718\) | 2.23270 | + | 0.598250i | 0.0833236 | + | 0.0223265i | ||||
\(719\) | −22.0098 | + | 38.1221i | −0.820827 | + | 1.42171i | 0.0842403 | + | 0.996445i | \(0.473154\pi\) |
−0.905067 | + | 0.425268i | \(0.860180\pi\) | |||||||
\(720\) | −1.65293 | − | 1.50593i | −0.0616011 | − | 0.0561226i | ||||
\(721\) | 10.7476 | − | 2.87982i | 0.400262 | − | 0.107250i | ||||
\(722\) | −11.6963 | + | 20.2585i | −0.435290 | + | 0.753944i | ||||
\(723\) | 6.98356i | 0.259722i | ||||||||
\(724\) | −7.42688 | − | 4.28791i | −0.276018 | − | 0.159359i | ||||
\(725\) | −20.5768 | − | 29.0306i | −0.764203 | − | 1.07817i | ||||
\(726\) | 7.93875 | + | 2.12718i | 0.294634 | + | 0.0789471i | ||||
\(727\) | −26.8208 | + | 26.8208i | −0.994730 | + | 0.994730i | −0.999986 | − | 0.00525659i | \(-0.998327\pi\) |
0.00525659 | + | 0.999986i | \(0.498327\pi\) | |||||||
\(728\) | 0.396369 | − | 4.50767i | 0.0146904 | − | 0.167065i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | 23.3277 | + | 5.10142i | 0.863396 | + | 0.188812i | ||||
\(731\) | 15.3157 | + | 26.5276i | 0.566472 | + | 0.981158i | ||||
\(732\) | −2.52016 | − | 9.40536i | −0.0931478 | − | 0.347632i | ||||
\(733\) | −12.0371 | −0.444602 | −0.222301 | − | 0.974978i | \(-0.571357\pi\) | ||||
−0.222301 | + | 0.974978i | \(0.571357\pi\) | |||||||
\(734\) | −1.69791 | − | 6.33667i | −0.0626709 | − | 0.233891i | ||||
\(735\) | −10.7759 | − | 5.57032i | −0.397475 | − | 0.205464i | ||||
\(736\) | 3.46605 | − | 3.46605i | 0.127760 | − | 0.127760i | ||||
\(737\) | 3.00203 | − | 0.804391i | 0.110581 | − | 0.0296301i | ||||
\(738\) | 0.614688 | − | 2.29405i | 0.0226270 | − | 0.0844450i | ||||
\(739\) | −3.43048 | + | 12.8027i | −0.126192 | + | 0.470956i | −0.999879 | − | 0.0155321i | \(-0.995056\pi\) |
0.873687 | + | 0.486488i | \(0.161722\pi\) | |||||||
\(740\) | 15.4643 | − | 16.9739i | 0.568479 | − | 0.623973i | ||||
\(741\) | −21.2805 | + | 9.91184i | −0.781757 | + | 0.364121i | ||||
\(742\) | 3.46447 | + | 3.46447i | 0.127185 | + | 0.127185i | ||||
\(743\) | −16.4135 | − | 28.4291i | −0.602154 | − | 1.04296i | −0.992494 | − | 0.122291i | \(-0.960976\pi\) |
0.390340 | − | 0.920671i | \(-0.372357\pi\) | |||||||
\(744\) | −6.08811 | + | 3.51497i | −0.223201 | + | 0.128865i | ||||
\(745\) | −15.7314 | − | 8.13196i | −0.576355 | − | 0.297932i | ||||
\(746\) | 1.88084 | + | 1.88084i | 0.0688626 | + | 0.0688626i | ||||
\(747\) | −3.18610 | − | 1.83950i | −0.116573 | − | 0.0673037i | ||||
\(748\) | 6.91992 | + | 3.99522i | 0.253017 | + | 0.146080i | ||||
\(749\) | −0.994610 | − | 0.994610i | −0.0363422 | − | 0.0363422i | ||||
\(750\) | 10.3657 | + | 4.18943i | 0.378503 | + | 0.152976i | ||||
\(751\) | 35.6504 | − | 20.5828i | 1.30090 | − | 0.751076i | 0.320344 | − | 0.947301i | \(-0.396202\pi\) |
0.980559 | + | 0.196225i | \(0.0628683\pi\) | |||||||
\(752\) | 1.96773 | + | 3.40821i | 0.0717559 | + | 0.124285i | ||||
\(753\) | −2.98184 | − | 2.98184i | −0.108664 | − | 0.108664i | ||||
\(754\) | 25.5609 | + | 2.24763i | 0.930874 | + | 0.0818537i | ||||
\(755\) | 1.65263 | + | 35.5121i | 0.0601453 | + | 1.29242i | ||||
\(756\) | −0.324825 | + | 1.21226i | −0.0118138 | + | 0.0440895i | ||||
\(757\) | −3.34498 | + | 12.4836i | −0.121575 | + | 0.453725i | −0.999694 | − | 0.0247168i | \(-0.992132\pi\) |
0.878119 | + | 0.478442i | \(0.158798\pi\) | |||||||
\(758\) | −11.2762 | + | 3.02144i | −0.409569 | + | 0.109744i | ||||
\(759\) | −5.78032 | + | 5.78032i | −0.209812 | + | 0.209812i | ||||
\(760\) | −6.68548 | + | 12.9332i | −0.242508 | + | 0.469136i | ||||
\(761\) | 6.49514 | + | 24.2402i | 0.235449 | + | 0.878707i | 0.977946 | + | 0.208858i | \(0.0669745\pi\) |
−0.742497 | + | 0.669849i | \(0.766359\pi\) | |||||||
\(762\) | 9.99556 | 0.362101 | ||||||||
\(763\) | −6.02170 | − | 22.4733i | −0.218000 | − | 0.813588i | ||||
\(764\) | 11.4751 | + | 19.8754i | 0.415154 | + | 0.719068i | ||||
\(765\) | −5.78237 | − | 9.01928i | −0.209062 | − | 0.326093i | ||||
\(766\) | 12.3736i | 0.447075i | ||||||||
\(767\) | 17.3873 | + | 20.7399i | 0.627818 | + | 0.748873i | ||||
\(768\) | 0.707107 | − | 0.707107i | 0.0255155 | − | 0.0255155i | ||||
\(769\) | 1.47911 | + | 0.396327i | 0.0533382 | + | 0.0142919i | 0.285389 | − | 0.958412i | \(-0.407877\pi\) |
−0.232051 | + | 0.972704i | \(0.574544\pi\) | |||||||
\(770\) | 2.52593 | + | 3.93991i | 0.0910282 | + | 0.141985i | ||||
\(771\) | 10.5507 | + | 6.09148i | 0.379976 | + | 0.219379i | ||||
\(772\) | 8.98509i | 0.323381i | ||||||||
\(773\) | 11.4479 | − | 19.8283i | 0.411752 | − | 0.713176i | −0.583329 | − | 0.812236i | \(-0.698250\pi\) |
0.995081 | + | 0.0990599i | \(0.0315835\pi\) | |||||||
\(774\) | −6.17528 | + | 1.65466i | −0.221966 | + | 0.0594756i | ||||
\(775\) | 22.4389 | − | 27.0555i | 0.806028 | − | 0.971862i | ||||
\(776\) | 7.29623 | − | 12.6374i | 0.261919 | − | 0.453658i | ||||
\(777\) | −12.4487 | − | 3.33561i | −0.446594 | − | 0.119664i | ||||
\(778\) | −2.46197 | + | 1.42142i | −0.0882660 | + | 0.0509604i | ||||
\(779\) | −15.4633 | −0.554031 | ||||||||
\(780\) | −7.14224 | + | 3.74010i | −0.255733 | + | 0.133917i | ||||
\(781\) | −2.29114 | −0.0819835 | ||||||||
\(782\) | 20.3392 | − | 11.7429i | 0.727330 | − | 0.419924i | ||||
\(783\) | −6.87419 | − | 1.84193i | −0.245663 | − | 0.0658253i | ||||
\(784\) | 2.71245 | − | 4.69811i | 0.0968734 | − | 0.167790i | ||||
\(785\) | 6.36890 | − | 0.296390i | 0.227316 | − | 0.0105786i | ||||
\(786\) | −6.80651 | + | 1.82380i | −0.242780 | + | 0.0650528i | ||||
\(787\) | −1.29280 | + | 2.23919i | −0.0460832 | + | 0.0798184i | −0.888147 | − | 0.459560i | \(-0.848007\pi\) |
0.842064 | + | 0.539378i | \(0.181341\pi\) | |||||||
\(788\) | 25.3778i | 0.904047i | ||||||||
\(789\) | −14.5328 | − | 8.39052i | −0.517382 | − | 0.298710i | ||||
\(790\) | 18.6743 | + | 4.08378i | 0.664400 | + | 0.145294i | ||||
\(791\) | −9.34608 | − | 2.50427i | −0.332308 | − | 0.0890418i | ||||
\(792\) | −1.17924 | + | 1.17924i | −0.0419024 | + | 0.0419024i | ||||
\(793\) | −34.9728 | − | 3.07524i | −1.24192 | − | 0.109205i | ||||
\(794\) | − | 22.4154i | − | 0.795494i | ||||||
\(795\) | 1.86492 | − | 8.52787i | 0.0661419 | − | 0.302452i | ||||
\(796\) | −12.6150 | − | 21.8497i | −0.447125 | − | 0.774443i | ||||
\(797\) | 12.1417 | + | 45.3134i | 0.430080 | + | 1.60508i | 0.752572 | + | 0.658510i | \(0.228813\pi\) |
−0.322492 | + | 0.946572i | \(0.604520\pi\) | |||||||
\(798\) | 8.17142 | 0.289265 | ||||||||
\(799\) | 4.88030 | + | 18.2135i | 0.172653 | + | 0.644348i | ||||
\(800\) | −2.08704 | + | 4.54359i | −0.0737881 | + | 0.160640i | ||||
\(801\) | −3.61929 | + | 3.61929i | −0.127881 | + | 0.127881i | ||||
\(802\) | −33.8471 | + | 9.06930i | −1.19518 | + | 0.320248i | ||||
\(803\) | 4.60939 | − | 17.2025i | 0.162662 | − | 0.607062i | ||||
\(804\) | 0.482337 | − | 1.80011i | 0.0170107 | − | 0.0634848i | ||||
\(805\) | 13.7410 | − | 0.639464i | 0.484306 | − | 0.0225382i | ||||
\(806\) | 4.39044 | + | 24.9637i | 0.154647 | + | 0.879308i | ||||
\(807\) | −3.58802 | − | 3.58802i | −0.126304 | − | 0.126304i | ||||
\(808\) | −8.75455 | − | 15.1633i | −0.307984 | − | 0.533444i | ||||
\(809\) | 16.8126 | − | 9.70675i | 0.591099 | − | 0.341271i | −0.174433 | − | 0.984669i | \(-0.555809\pi\) |
0.765532 | + | 0.643398i | \(0.222476\pi\) | |||||||
\(810\) | 2.13064 | − | 0.678517i | 0.0748630 | − | 0.0238407i | ||||
\(811\) | −3.18239 | − | 3.18239i | −0.111749 | − | 0.111749i | 0.649021 | − | 0.760770i | \(-0.275179\pi\) |
−0.760770 | + | 0.649021i | \(0.775179\pi\) | |||||||
\(812\) | −7.73501 | − | 4.46581i | −0.271446 | − | 0.156719i | ||||
\(813\) | −26.8788 | − | 15.5185i | −0.942681 | − | 0.544257i | ||||
\(814\) | −12.1096 | − | 12.1096i | −0.424440 | − | 0.424440i | ||||
\(815\) | 8.84243 | − | 2.81594i | 0.309737 | − | 0.0986380i | ||||
\(816\) | 4.14939 | − | 2.39565i | 0.145258 | − | 0.0838647i | ||||
\(817\) | 20.8127 | + | 36.0486i | 0.728143 | + | 1.26118i | ||||
\(818\) | −12.6403 | − | 12.6403i | −0.441956 | − | 0.441956i | ||||
\(819\) | 3.70557 | + | 2.59710i | 0.129483 | + | 0.0907500i | ||||
\(820\) | −5.30485 | + | 0.246872i | −0.185254 | + | 0.00862115i | ||||
\(821\) | 2.04795 | − | 7.64305i | 0.0714739 | − | 0.266744i | −0.920937 | − | 0.389712i | \(-0.872575\pi\) |
0.992411 | + | 0.122968i | \(0.0392412\pi\) | |||||||
\(822\) | −0.991075 | + | 3.69874i | −0.0345677 | + | 0.129008i | ||||
\(823\) | −28.9161 | + | 7.74804i | −1.00795 | + | 0.270080i | −0.724773 | − | 0.688988i | \(-0.758055\pi\) |
−0.283178 | + | 0.959067i | \(0.591389\pi\) | |||||||
\(824\) | 6.26904 | − | 6.26904i | 0.218392 | − | 0.218392i | ||||
\(825\) | 3.48055 | − | 7.57733i | 0.121177 | − | 0.263809i | ||||
\(826\) | −2.43820 | − | 9.09947i | −0.0848357 | − | 0.316611i | ||||
\(827\) | 52.9999 | 1.84299 | 0.921493 | − | 0.388394i | \(-0.126970\pi\) | ||||
0.921493 | + | 0.388394i | \(0.126970\pi\) | |||||||
\(828\) | 1.26866 | + | 4.73471i | 0.0440891 | + | 0.164543i | ||||
\(829\) | −6.62400 | − | 11.4731i | −0.230061 | − | 0.398478i | 0.727765 | − | 0.685827i | \(-0.240559\pi\) |
−0.957826 | + | 0.287349i | \(0.907226\pi\) | |||||||
\(830\) | −1.75748 | + | 8.03656i | −0.0610029 | + | 0.278953i | ||||
\(831\) | 27.6726i | 0.959950i | ||||||||
\(832\) | −1.52233 | − | 3.26841i | −0.0527774 | − | 0.113312i | ||||
\(833\) | 18.3794 | − | 18.3794i | 0.636809 | − | 0.636809i | ||||
\(834\) | 15.3248 | + | 4.10627i | 0.530655 | + | 0.142189i | ||||
\(835\) | −11.7781 | − | 2.57571i | −0.407600 | − | 0.0891360i | ||||
\(836\) | 9.40355 | + | 5.42914i | 0.325229 | + | 0.187771i | ||||
\(837\) | − | 7.02994i | − | 0.242990i | ||||||
\(838\) | −3.17779 | + | 5.50409i | −0.109775 | + | 0.190136i | ||||
\(839\) | 20.7102 | − | 5.54929i | 0.714997 | − | 0.191583i | 0.117059 | − | 0.993125i | \(-0.462653\pi\) |
0.597938 | + | 0.801542i | \(0.295987\pi\) | |||||||
\(840\) | 2.80329 | − | 0.130457i | 0.0967227 | − | 0.00450118i | ||||
\(841\) | 10.8236 | − | 18.7470i | 0.373227 | − | 0.646447i | ||||
\(842\) | −14.1700 | − | 3.79683i | −0.488330 | − | 0.130848i | ||||
\(843\) | 7.80021 | − | 4.50345i | 0.268654 | − | 0.155107i | ||||
\(844\) | −2.90413 | −0.0999644 | ||||||||
\(845\) | 3.85160 | + | 28.8126i | 0.132499 | + | 0.991183i | ||||
\(846\) | −3.93547 | −0.135304 | ||||||||
\(847\) | −8.93288 | + | 5.15740i | −0.306937 | + | 0.177210i | ||||
\(848\) | 3.77088 | + | 1.01041i | 0.129493 | + | 0.0346975i | ||||
\(849\) | −10.1907 | + | 17.6508i | −0.349743 | + | 0.605773i | ||||
\(850\) | −15.2934 | + | 18.4399i | −0.524558 | + | 0.632482i | ||||
\(851\) | −48.6206 | + | 13.0279i | −1.66669 | + | 0.446589i | ||||
\(852\) | −0.686919 | + | 1.18978i | −0.0235335 | + | 0.0407611i | ||||
\(853\) | 21.3327i | 0.730419i | 0.930925 | + | 0.365210i | \(0.119003\pi\) | ||||
−0.930925 | + | 0.365210i | \(0.880997\pi\) | |||||||
\(854\) | 10.5832 | + | 6.11019i | 0.362148 | + | 0.209086i | ||||
\(855\) | −7.85772 | − | 12.2564i | −0.268728 | − | 0.419159i | ||||
\(856\) | −1.08258 | − | 0.290076i | −0.0370017 | − | 0.00991458i | ||||
\(857\) | −24.2701 | + | 24.2701i | −0.829051 | + | 0.829051i | −0.987386 | − | 0.158334i | \(-0.949388\pi\) |
0.158334 | + | 0.987386i | \(0.449388\pi\) | |||||||
\(858\) | 2.53879 | + | 5.45071i | 0.0866728 | + | 0.186084i | ||||
\(859\) | 22.1224i | 0.754807i | 0.926049 | + | 0.377403i | \(0.123183\pi\) | ||||
−0.926049 | + | 0.377403i | \(0.876817\pi\) | |||||||
\(860\) | 7.71551 | + | 12.0346i | 0.263097 | + | 0.410375i | ||||
\(861\) | 1.49032 | + | 2.58132i | 0.0507901 | + | 0.0879711i | ||||
\(862\) | 5.58701 | + | 20.8510i | 0.190294 | + | 0.710188i | ||||
\(863\) | −35.7630 | −1.21739 | −0.608693 | − | 0.793406i | \(-0.708306\pi\) | ||||
−0.608693 | + | 0.793406i | \(0.708306\pi\) | |||||||
\(864\) | 0.258819 | + | 0.965926i | 0.00880520 | + | 0.0328615i | ||||
\(865\) | −7.56556 | + | 14.6357i | −0.257237 | + | 0.497629i | ||||
\(866\) | 4.87383 | − | 4.87383i | 0.165620 | − | 0.165620i | ||||
\(867\) | 5.75366 | − | 1.54169i | 0.195405 | − | 0.0523585i | ||||
\(868\) | 2.28350 | − | 8.52213i | 0.0775070 | − | 0.289260i | ||||
\(869\) | 3.68990 | − | 13.7709i | 0.125171 | − | 0.467146i | ||||
\(870\) | 0.739761 | + | 15.8962i | 0.0250802 | + | 0.538931i | ||||
\(871\) | −5.50245 | − | 3.85647i | −0.186444 | − | 0.130672i | ||||
\(872\) | −13.1086 | − | 13.1086i | −0.443912 | − | 0.443912i | ||||
\(873\) | 7.29623 | + | 12.6374i | 0.246940 | + | 0.427713i | ||||
\(874\) | 27.6392 | − | 15.9575i | 0.934909 | − | 0.539770i | ||||
\(875\) | −12.9168 | + | 5.48109i | −0.436668 | + | 0.185295i | ||||
\(876\) | −7.55119 | − | 7.55119i | −0.255131 | − | 0.255131i | ||||
\(877\) | −8.43716 | − | 4.87120i | −0.284903 | − | 0.164489i | 0.350738 | − | 0.936474i | \(-0.385931\pi\) |
−0.635641 | + | 0.771985i | \(0.719264\pi\) | |||||||
\(878\) | 13.3423 | + | 7.70318i | 0.450281 | + | 0.259970i | ||||
\(879\) | −16.5333 | − | 16.5333i | −0.557655 | − | 0.557655i | ||||
\(880\) | 3.31266 | + | 1.71240i | 0.111670 | + | 0.0577249i | ||||
\(881\) | 3.83408 | − | 2.21361i | 0.129174 | − | 0.0745784i | −0.434021 | − | 0.900903i | \(-0.642906\pi\) |
0.563194 | + | 0.826324i | \(0.309572\pi\) | |||||||
\(882\) | 2.71245 | + | 4.69811i | 0.0913331 | + | 0.158194i | ||||
\(883\) | 8.13776 | + | 8.13776i | 0.273858 | + | 0.273858i | 0.830651 | − | 0.556793i | \(-0.187969\pi\) |
−0.556793 | + | 0.830651i | \(0.687969\pi\) | |||||||
\(884\) | −2.99234 | − | 17.0142i | −0.100643 | − | 0.572249i | ||||
\(885\) | −11.3038 | + | 12.4072i | −0.379973 | + | 0.417064i | ||||
\(886\) | 6.91692 | − | 25.8143i | 0.232379 | − | 0.867249i | ||||
\(887\) | −8.61028 | + | 32.1340i | −0.289105 | + | 1.07895i | 0.656682 | + | 0.754167i | \(0.271959\pi\) |
−0.945787 | + | 0.324787i | \(0.894707\pi\) | |||||||
\(888\) | −9.91906 | + | 2.65780i | −0.332862 | + | 0.0891900i | ||||
\(889\) | −8.87043 | + | 8.87043i | −0.297505 | + | 0.297505i | ||||
\(890\) | 10.1671 | + | 5.25564i | 0.340803 | + | 0.176170i | ||||
\(891\) | −0.431631 | − | 1.61087i | −0.0144602 | − | 0.0539662i | ||||
\(892\) | 4.52521 | 0.151515 | ||||||||
\(893\) | 6.63189 | + | 24.7505i | 0.221928 | + | 0.828245i | ||||
\(894\) | 3.95984 | + | 6.85864i | 0.132437 | + | 0.229387i | ||||
\(895\) | −6.49262 | − | 1.41984i | −0.217024 | − | 0.0474600i | ||||
\(896\) | 1.25503i | 0.0419275i | ||||||||
\(897\) | 17.6055 | + | 1.54809i | 0.587832 | + | 0.0516893i | ||||
\(898\) | −11.6394 | + | 11.6394i | −0.388412 | + | 0.388412i | ||||
\(899\) | 48.3251 | + | 12.9487i | 1.61173 | + | 0.431863i | ||||
\(900\) | −2.89135 | − | 4.07923i | −0.0963782 | − | 0.135974i | ||||
\(901\) | 16.1988 | + | 9.35241i | 0.539662 | + | 0.311574i | ||||
\(902\) | 3.96073i | 0.131878i | ||||||||
\(903\) | 4.01177 | − | 6.94858i | 0.133503 | − | 0.231234i | ||||
\(904\) | −7.44692 | + | 1.99540i | −0.247681 | + | 0.0663659i | ||||
\(905\) | −14.1752 | − | 12.9146i | −0.471201 | − | 0.429295i | ||||
\(906\) | 7.94935 | − | 13.7687i | 0.264100 | − | 0.457434i | ||||
\(907\) | −26.7398 | − | 7.16492i | −0.887882 | − | 0.237907i | −0.214077 | − | 0.976817i | \(-0.568674\pi\) |
−0.673805 | + | 0.738910i | \(0.735341\pi\) | |||||||
\(908\) | −20.2480 | + | 11.6902i | −0.671955 | + | 0.387953i | ||||
\(909\) | 17.5091 | 0.580740 | ||||||||
\(910\) | 3.01918 | − | 9.65740i | 0.100085 | − | 0.320140i | ||||
\(911\) | 54.7622 | 1.81435 | 0.907177 | − | 0.420749i | \(-0.138233\pi\) | ||||
0.907177 | + | 0.420749i | \(0.138233\pi\) | |||||||
\(912\) | 5.63865 | − | 3.25548i | 0.186714 | − | 0.107800i | ||||
\(913\) | 5.92638 | + | 1.58797i | 0.196134 | + | 0.0525541i | ||||
\(914\) | −8.73356 | + | 15.1270i | −0.288881 | + | 0.500356i | ||||
\(915\) | −1.01215 | − | 21.7494i | −0.0334607 | − | 0.719013i | ||||
\(916\) | −12.9650 | + | 3.47396i | −0.428375 | + | 0.114783i | ||||
\(917\) | 4.42184 | − | 7.65886i | 0.146022 | − | 0.252918i | ||||
\(918\) | 4.79131i | 0.158137i | ||||||||
\(919\) | 15.8534 | + | 9.15294i | 0.522954 | + | 0.301928i | 0.738142 | − | 0.674645i | \(-0.235703\pi\) |
−0.215188 | + | 0.976573i | \(0.569037\pi\) | |||||||
\(920\) | 9.22715 | − | 5.91564i | 0.304210 | − | 0.195033i | ||||
\(921\) | −14.6013 | − | 3.91241i | −0.481130 | − | 0.128918i | ||||
\(922\) | −7.56691 | + | 7.56691i | −0.249203 | + | 0.249203i | ||||
\(923\) | 3.18234 | + | 3.79596i | 0.104748 | + | 0.124945i | ||||
\(924\) | − | 2.09300i | − | 0.0688546i | ||||||
\(925\) | 41.8895 | − | 29.6911i | 1.37732 | − | 0.976238i | ||||
\(926\) | 13.0337 | + | 22.5751i | 0.428315 | + | 0.741863i | ||||
\(927\) | 2.29463 | + | 8.56367i | 0.0753654 | + | 0.281268i | ||||
\(928\) | −7.11668 | −0.233616 | ||||||||
\(929\) | 8.75599 | + | 32.6778i | 0.287275 | + | 1.07212i | 0.947161 | + | 0.320758i | \(0.103938\pi\) |
−0.659886 | + | 0.751365i | \(0.729396\pi\) | |||||||
\(930\) | −14.9783 | + | 4.76993i | −0.491156 | + | 0.156412i | ||||
\(931\) | 24.9760 | − | 24.9760i | 0.818554 | − | 0.818554i | ||||
\(932\) | −11.5800 | + | 3.10284i | −0.379315 | + | 0.101637i | ||||
\(933\) | −8.36371 | + | 31.2138i | −0.273816 | + | 1.02189i | ||||
\(934\) | 4.12636 | − | 15.3998i | 0.135019 | − | 0.503897i | ||||
\(935\) | 13.2076 | + | 12.0330i | 0.431936 | + | 0.393522i | ||||
\(936\) | 3.59169 | + | 0.315825i | 0.117398 | + | 0.0103231i | ||||
\(937\) | −24.2014 | − | 24.2014i | −0.790626 | − | 0.790626i | 0.190970 | − | 0.981596i | \(-0.438837\pi\) |
−0.981596 | + | 0.190970i | \(0.938837\pi\) | |||||||
\(938\) | 1.16944 | + | 2.02552i | 0.0381835 | + | 0.0661357i | ||||
\(939\) | 22.5579 | − | 13.0238i | 0.736151 | − | 0.425017i | ||||
\(940\) | 2.67028 | + | 8.38505i | 0.0870949 | + | 0.273490i | ||||
\(941\) | −18.5270 | − | 18.5270i | −0.603962 | − | 0.603962i | 0.337399 | − | 0.941362i | \(-0.390453\pi\) |
−0.941362 | + | 0.337399i | \(0.890453\pi\) | |||||||
\(942\) | −2.46933 | − | 1.42567i | −0.0804553 | − | 0.0464509i | ||||
\(943\) | 10.0818 | + | 5.82074i | 0.328309 | + | 0.189549i | ||||
\(944\) | −5.30768 | − | 5.30768i | −0.172750 | − | 0.172750i | ||||
\(945\) | −1.28867 | + | 2.49295i | −0.0419203 | + | 0.0810956i | ||||
\(946\) | 9.23337 | − | 5.33089i | 0.300203 | − | 0.173322i | ||||
\(947\) | −24.4277 | − | 42.3100i | −0.793793 | − | 1.37489i | −0.923603 | − | 0.383351i | \(-0.874770\pi\) |
0.129809 | − | 0.991539i | \(-0.458564\pi\) | |||||||
\(948\) | −6.04487 | − | 6.04487i | −0.196328 | − | 0.196328i | ||||
\(949\) | −34.9033 | + | 16.2570i | −1.13301 | + | 0.527724i | ||||
\(950\) | −20.7823 | + | 25.0581i | −0.674267 | + | 0.812993i | ||||
\(951\) | 3.74188 | − | 13.9649i | 0.121339 | − | 0.452843i | ||||
\(952\) | −1.55633 | + | 5.80832i | −0.0504411 | + | 0.188249i | ||||
\(953\) | −2.40429 | + | 0.644227i | −0.0778825 | + | 0.0208686i | −0.297550 | − | 0.954706i | \(-0.596169\pi\) |
0.219667 | + | 0.975575i | \(0.429503\pi\) | |||||||
\(954\) | −2.76048 | + | 2.76048i | −0.0893738 | + | 0.0893738i | ||||
\(955\) | 15.5721 | + | 48.8985i | 0.503900 | + | 1.58232i | ||||
\(956\) | 5.46187 | + | 20.3840i | 0.176650 | + | 0.659265i | ||||
\(957\) | 11.8685 | 0.383653 | ||||||||
\(958\) | 5.77188 | + | 21.5410i | 0.186481 | + | 0.695957i | ||||
\(959\) | −2.40288 | − | 4.16192i | −0.0775932 | − | 0.134395i | ||||
\(960\) | 1.88242 | − | 1.20685i | 0.0607550 | − | 0.0389508i | ||||
\(961\) | 18.4201i | 0.594196i | ||||||||
\(962\) | −3.24320 | + | 36.8830i | −0.104565 | + | 1.18915i | ||||
\(963\) | 0.792501 | − | 0.792501i | 0.0255380 | − | 0.0255380i | ||||
\(964\) | −6.74561 | − | 1.80748i | −0.217261 | − | 0.0582150i | ||||
\(965\) | −4.29223 | + | 19.6274i | −0.138172 | + | 0.631830i | ||||
\(966\) | −5.32762 | − | 3.07590i | −0.171413 | − | 0.0989656i | ||||
\(967\) | − | 39.1521i | − | 1.25905i | −0.776982 | − | 0.629523i | \(-0.783251\pi\) | ||
0.776982 | − | 0.629523i | \(-0.216749\pi\) | |||||||
\(968\) | −4.10940 | + | 7.11768i | −0.132081 | + | 0.228771i | ||||
\(969\) | 30.1330 | − | 8.07412i | 0.968012 | − | 0.259378i | ||||
\(970\) | 21.9752 | − | 24.1203i | 0.705581 | − | 0.774457i | ||||
\(971\) | −14.5620 | + | 25.2222i | −0.467318 | + | 0.809418i | −0.999303 | − | 0.0373354i | \(-0.988113\pi\) |
0.531985 | + | 0.846754i | \(0.321446\pi\) | |||||||
\(972\) | −0.965926 | − | 0.258819i | −0.0309821 | − | 0.00830162i | ||||
\(973\) | −17.2439 | + | 9.95576i | −0.552813 | + | 0.319167i | ||||
\(974\) | −24.3627 | −0.780632 | ||||||||
\(975\) | −17.3885 | + | 4.75816i | −0.556878 | + | 0.152383i | ||||
\(976\) | 9.73715 | 0.311679 | ||||||||
\(977\) | −47.8066 | + | 27.6011i | −1.52947 | + | 0.883039i | −0.530084 | + | 0.847945i | \(0.677839\pi\) |
−0.999384 | + | 0.0350931i | \(0.988827\pi\) | |||||||
\(978\) | −4.00872 | − | 1.07413i | −0.128185 | − | 0.0343470i | ||||
\(979\) | 4.26800 | − | 7.39240i | 0.136406 | − | 0.236262i | ||||
\(980\) | 8.16952 | − | 8.96700i | 0.260966 | − | 0.286440i | ||||
\(981\) | 17.9066 | − | 4.79807i | 0.571715 | − | 0.153190i | ||||
\(982\) | 19.1480 | − | 33.1654i | 0.611039 | − | 1.05835i | ||||
\(983\) | − | 45.1532i | − | 1.44016i | −0.693890 | − | 0.720081i | \(-0.744105\pi\) | ||
0.693890 | − | 0.720081i | \(-0.255895\pi\) | |||||||
\(984\) | 2.05678 | + | 1.18749i | 0.0655679 | + | 0.0378556i | ||||
\(985\) | −12.1231 | + | 55.4364i | −0.386275 | + | 1.76635i | ||||
\(986\) | −32.9363 | − | 8.82527i | −1.04891 | − | 0.281054i | ||||
\(987\) | 3.49248 | − | 3.49248i | 0.111167 | − | 0.111167i | ||||
\(988\) | −4.06632 | − | 23.1207i | −0.129367 | − | 0.735568i | ||||
\(989\) | − | 31.3374i | − | 0.996471i | ||||||
\(990\) | −3.13931 | + | 2.01265i | −0.0997738 | + | 0.0639663i | ||||
\(991\) | −30.2300 | − | 52.3598i | −0.960286 | − | 1.66326i | −0.721778 | − | 0.692125i | \(-0.756675\pi\) |
−0.238508 | − | 0.971140i | \(-0.576658\pi\) | |||||||
\(992\) | −1.81948 | − | 6.79040i | −0.0577686 | − | 0.215595i | ||||
\(993\) | 4.19873 | 0.133243 | ||||||||
\(994\) | −0.446256 | − | 1.66545i | −0.0141544 | − | 0.0528249i | ||||
\(995\) | −17.1189 | − | 53.7558i | −0.542706 | − | 1.70417i | ||||
\(996\) | 2.60144 | − | 2.60144i | 0.0824298 | − | 0.0824298i | ||||
\(997\) | 20.5623 | − | 5.50966i | 0.651216 | − | 0.174493i | 0.0819371 | − | 0.996638i | \(-0.473889\pi\) |
0.569278 | + | 0.822145i | \(0.307223\pi\) | |||||||
\(998\) | −3.37141 | + | 12.5823i | −0.106720 | + | 0.398285i | ||||
\(999\) | 2.65780 | − | 9.91906i | 0.0840892 | − | 0.313825i |
(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 | 390.2.bd.c.37.3 | ✓ | 32 | |
5.3 | odd | 4 | 390.2.bn.c.193.5 | yes | 32 | ||
13.6 | odd | 12 | 390.2.bn.c.97.5 | yes | 32 | ||
65.58 | even | 12 | inner | 390.2.bd.c.253.3 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bd.c.37.3 | ✓ | 32 | 1.1 | even | 1 | trivial | |
390.2.bd.c.253.3 | yes | 32 | 65.58 | even | 12 | inner | |
390.2.bn.c.97.5 | yes | 32 | 13.6 | odd | 12 | ||
390.2.bn.c.193.5 | yes | 32 | 5.3 | odd | 4 |