Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(61,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.u (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 24x^{10} + 216x^{8} + 905x^{6} + 1770x^{4} + 1395x^{2} + 361 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 541.1 | ||
Root | \(0.728740i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.541 |
Dual form | 570.2.u.i.511.1 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | + | 0.984808i | 0.122788 | + | 0.696364i | ||||
\(3\) | 0.766044 | − | 0.642788i | 0.442276 | − | 0.371114i | ||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | −0.939693 | − | 0.342020i | −0.420243 | − | 0.152956i | ||||
\(6\) | 0.766044 | + | 0.642788i | 0.312736 | + | 0.262417i | ||||
\(7\) | −1.21767 | + | 2.10906i | −0.460235 | + | 0.797151i | −0.998972 | − | 0.0453229i | \(-0.985568\pi\) |
0.538737 | + | 0.842474i | \(0.318902\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 0.173648 | − | 0.984808i | 0.0578827 | − | 0.328269i | ||||
\(10\) | 0.173648 | − | 0.984808i | 0.0549124 | − | 0.311424i | ||||
\(11\) | 0.983713 | + | 1.70384i | 0.296601 | + | 0.513727i | 0.975356 | − | 0.220637i | \(-0.0708137\pi\) |
−0.678755 | + | 0.734364i | \(0.737480\pi\) | |||||||
\(12\) | −0.500000 | + | 0.866025i | −0.144338 | + | 0.250000i | ||||
\(13\) | 3.82056 | + | 3.20583i | 1.05963 | + | 0.889137i | 0.994073 | − | 0.108712i | \(-0.0346726\pi\) |
0.0655586 | + | 0.997849i | \(0.479117\pi\) | |||||||
\(14\) | −2.28847 | − | 0.832934i | −0.611619 | − | 0.222611i | ||||
\(15\) | −0.939693 | + | 0.342020i | −0.242628 | + | 0.0883092i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.779489 | + | 4.42070i | 0.189054 | + | 1.07218i | 0.920635 | + | 0.390423i | \(0.127671\pi\) |
−0.731582 | + | 0.681754i | \(0.761218\pi\) | |||||||
\(18\) | 1.00000 | 0.235702 | ||||||||
\(19\) | −2.14738 | + | 3.79325i | −0.492643 | + | 0.870231i | ||||
\(20\) | 1.00000 | 0.223607 | ||||||||
\(21\) | 0.422892 | + | 2.39834i | 0.0922826 | + | 0.523360i | ||||
\(22\) | −1.50714 | + | 1.26464i | −0.321322 | + | 0.269621i | ||||
\(23\) | 1.62113 | − | 0.590043i | 0.338029 | − | 0.123032i | −0.167428 | − | 0.985884i | \(-0.553546\pi\) |
0.505457 | + | 0.862852i | \(0.331324\pi\) | |||||||
\(24\) | −0.939693 | − | 0.342020i | −0.191814 | − | 0.0698146i | ||||
\(25\) | 0.766044 | + | 0.642788i | 0.153209 | + | 0.128558i | ||||
\(26\) | −2.49369 | + | 4.31920i | −0.489053 | + | 0.847065i | ||||
\(27\) | −0.500000 | − | 0.866025i | −0.0962250 | − | 0.166667i | ||||
\(28\) | 0.422892 | − | 2.39834i | 0.0799190 | − | 0.453243i | ||||
\(29\) | 0.0965400 | − | 0.547506i | 0.0179270 | − | 0.101669i | −0.974531 | − | 0.224251i | \(-0.928006\pi\) |
0.992458 | + | 0.122582i | \(0.0391175\pi\) | |||||||
\(30\) | −0.500000 | − | 0.866025i | −0.0912871 | − | 0.158114i | ||||
\(31\) | −2.42588 | + | 4.20175i | −0.435702 | + | 0.754657i | −0.997353 | − | 0.0727170i | \(-0.976833\pi\) |
0.561651 | + | 0.827374i | \(0.310166\pi\) | |||||||
\(32\) | 0.766044 | + | 0.642788i | 0.135419 | + | 0.113630i | ||||
\(33\) | 1.84878 | + | 0.672899i | 0.321831 | + | 0.117137i | ||||
\(34\) | −4.21818 | + | 1.53529i | −0.723412 | + | 0.263301i | ||||
\(35\) | 1.86558 | − | 1.56540i | 0.315340 | − | 0.264602i | ||||
\(36\) | 0.173648 | + | 0.984808i | 0.0289414 | + | 0.164135i | ||||
\(37\) | −1.63440 | −0.268694 | −0.134347 | − | 0.990934i | \(-0.542894\pi\) | ||||
−0.134347 | + | 0.990934i | \(0.542894\pi\) | |||||||
\(38\) | −4.10851 | − | 1.45607i | −0.666489 | − | 0.236205i | ||||
\(39\) | 4.98738 | 0.798620 | ||||||||
\(40\) | 0.173648 | + | 0.984808i | 0.0274562 | + | 0.155712i | ||||
\(41\) | 2.99752 | − | 2.51522i | 0.468134 | − | 0.392811i | −0.377979 | − | 0.925814i | \(-0.623381\pi\) |
0.846113 | + | 0.533003i | \(0.178936\pi\) | |||||||
\(42\) | −2.28847 | + | 0.832934i | −0.353118 | + | 0.128525i | ||||
\(43\) | 2.11766 | + | 0.770766i | 0.322941 | + | 0.117541i | 0.498403 | − | 0.866945i | \(-0.333920\pi\) |
−0.175463 | + | 0.984486i | \(0.556142\pi\) | |||||||
\(44\) | −1.50714 | − | 1.26464i | −0.227209 | − | 0.190651i | ||||
\(45\) | −0.500000 | + | 0.866025i | −0.0745356 | + | 0.129099i | ||||
\(46\) | 0.862584 | + | 1.49404i | 0.127181 | + | 0.220284i | ||||
\(47\) | 1.19477 | − | 6.77588i | 0.174275 | − | 0.988364i | −0.764702 | − | 0.644384i | \(-0.777114\pi\) |
0.938977 | − | 0.343980i | \(-0.111775\pi\) | |||||||
\(48\) | 0.173648 | − | 0.984808i | 0.0250640 | − | 0.142145i | ||||
\(49\) | 0.534567 | + | 0.925897i | 0.0763667 | + | 0.132271i | ||||
\(50\) | −0.500000 | + | 0.866025i | −0.0707107 | + | 0.122474i | ||||
\(51\) | 3.43869 | + | 2.88541i | 0.481513 | + | 0.404038i | ||||
\(52\) | −4.68661 | − | 1.70579i | −0.649915 | − | 0.236550i | ||||
\(53\) | 1.31631 | − | 0.479098i | 0.180809 | − | 0.0658091i | −0.250029 | − | 0.968238i | \(-0.580440\pi\) |
0.430838 | + | 0.902429i | \(0.358218\pi\) | |||||||
\(54\) | 0.766044 | − | 0.642788i | 0.104245 | − | 0.0874723i | ||||
\(55\) | −0.341640 | − | 1.93754i | −0.0460667 | − | 0.261257i | ||||
\(56\) | 2.43534 | 0.325436 | ||||||||
\(57\) | 0.793264 | + | 4.28611i | 0.105070 | + | 0.567709i | ||||
\(58\) | 0.555952 | 0.0730000 | ||||||||
\(59\) | −1.61529 | − | 9.16079i | −0.210293 | − | 1.19263i | −0.888890 | − | 0.458121i | \(-0.848523\pi\) |
0.678596 | − | 0.734511i | \(-0.262589\pi\) | |||||||
\(60\) | 0.766044 | − | 0.642788i | 0.0988959 | − | 0.0829835i | ||||
\(61\) | −1.47744 | + | 0.537743i | −0.189167 | + | 0.0688510i | −0.434866 | − | 0.900495i | \(-0.643204\pi\) |
0.245700 | + | 0.969346i | \(0.420982\pi\) | |||||||
\(62\) | −4.55917 | − | 1.65940i | −0.579015 | − | 0.210744i | ||||
\(63\) | 1.86558 | + | 1.56540i | 0.235041 | + | 0.197222i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −2.49369 | − | 4.31920i | −0.309304 | − | 0.535731i | ||||
\(66\) | −0.341640 | + | 1.93754i | −0.0420530 | + | 0.238494i | ||||
\(67\) | −1.06199 | + | 6.02283i | −0.129742 | + | 0.735805i | 0.848635 | + | 0.528979i | \(0.177425\pi\) |
−0.978378 | + | 0.206827i | \(0.933686\pi\) | |||||||
\(68\) | −2.24445 | − | 3.88750i | −0.272179 | − | 0.471428i | ||||
\(69\) | 0.862584 | − | 1.49404i | 0.103843 | − | 0.179861i | ||||
\(70\) | 1.86558 | + | 1.56540i | 0.222979 | + | 0.187102i | ||||
\(71\) | −4.04820 | − | 1.47343i | −0.480433 | − | 0.174863i | 0.0904394 | − | 0.995902i | \(-0.471173\pi\) |
−0.570873 | + | 0.821038i | \(0.693395\pi\) | |||||||
\(72\) | −0.939693 | + | 0.342020i | −0.110744 | + | 0.0403075i | ||||
\(73\) | 2.44982 | − | 2.05564i | 0.286730 | − | 0.240595i | −0.488066 | − | 0.872807i | \(-0.662297\pi\) |
0.774795 | + | 0.632212i | \(0.217853\pi\) | |||||||
\(74\) | −0.283811 | − | 1.60957i | −0.0329923 | − | 0.187109i | ||||
\(75\) | 1.00000 | 0.115470 | ||||||||
\(76\) | 0.720511 | − | 4.29894i | 0.0826483 | − | 0.493122i | ||||
\(77\) | −4.79134 | −0.546024 | ||||||||
\(78\) | 0.866050 | + | 4.91161i | 0.0980608 | + | 0.556131i | ||||
\(79\) | −6.63273 | + | 5.56552i | −0.746240 | + | 0.626170i | −0.934506 | − | 0.355948i | \(-0.884158\pi\) |
0.188265 | + | 0.982118i | \(0.439713\pi\) | |||||||
\(80\) | −0.939693 | + | 0.342020i | −0.105061 | + | 0.0382390i | ||||
\(81\) | −0.939693 | − | 0.342020i | −0.104410 | − | 0.0380022i | ||||
\(82\) | 2.99752 | + | 2.51522i | 0.331021 | + | 0.277760i | ||||
\(83\) | 7.19392 | − | 12.4602i | 0.789635 | − | 1.36769i | −0.136555 | − | 0.990632i | \(-0.543603\pi\) |
0.926190 | − | 0.377056i | \(-0.123064\pi\) | |||||||
\(84\) | −1.21767 | − | 2.10906i | −0.132859 | − | 0.230118i | ||||
\(85\) | 0.779489 | − | 4.42070i | 0.0845474 | − | 0.479492i | ||||
\(86\) | −0.391328 | + | 2.21933i | −0.0421980 | + | 0.239317i | ||||
\(87\) | −0.277976 | − | 0.481468i | −0.0298021 | − | 0.0516188i | ||||
\(88\) | 0.983713 | − | 1.70384i | 0.104864 | − | 0.181630i | ||||
\(89\) | −1.72329 | − | 1.44601i | −0.182669 | − | 0.153277i | 0.546868 | − | 0.837219i | \(-0.315820\pi\) |
−0.729537 | + | 0.683942i | \(0.760264\pi\) | |||||||
\(90\) | −0.939693 | − | 0.342020i | −0.0990523 | − | 0.0360521i | ||||
\(91\) | −11.4135 | + | 4.15416i | −1.19646 | + | 0.435475i | ||||
\(92\) | −1.32156 | + | 1.10892i | −0.137782 | + | 0.115613i | ||||
\(93\) | 0.842501 | + | 4.77806i | 0.0873632 | + | 0.495462i | ||||
\(94\) | 6.88041 | 0.709660 | ||||||||
\(95\) | 3.31525 | − | 2.83004i | 0.340137 | − | 0.290356i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | −1.39578 | − | 7.91585i | −0.141720 | − | 0.803732i | −0.969943 | − | 0.243334i | \(-0.921759\pi\) |
0.828223 | − | 0.560399i | \(-0.189352\pi\) | |||||||
\(98\) | −0.819004 | + | 0.687226i | −0.0827319 | + | 0.0694203i | ||||
\(99\) | 1.84878 | − | 0.672899i | 0.185809 | − | 0.0676289i | ||||
\(100\) | −0.939693 | − | 0.342020i | −0.0939693 | − | 0.0342020i | ||||
\(101\) | −10.0909 | − | 8.46730i | −1.00409 | − | 0.842528i | −0.0165403 | − | 0.999863i | \(-0.505265\pi\) |
−0.987545 | + | 0.157335i | \(0.949710\pi\) | |||||||
\(102\) | −2.24445 | + | 3.88750i | −0.222233 | + | 0.384920i | ||||
\(103\) | −3.73535 | − | 6.46981i | −0.368055 | − | 0.637490i | 0.621207 | − | 0.783647i | \(-0.286643\pi\) |
−0.989261 | + | 0.146157i | \(0.953309\pi\) | |||||||
\(104\) | 0.866050 | − | 4.91161i | 0.0849232 | − | 0.481623i | ||||
\(105\) | 0.422892 | − | 2.39834i | 0.0412700 | − | 0.234054i | ||||
\(106\) | 0.700394 | + | 1.21312i | 0.0680283 | + | 0.117828i | ||||
\(107\) | −3.05801 | + | 5.29662i | −0.295629 | + | 0.512044i | −0.975131 | − | 0.221629i | \(-0.928862\pi\) |
0.679502 | + | 0.733673i | \(0.262196\pi\) | |||||||
\(108\) | 0.766044 | + | 0.642788i | 0.0737127 | + | 0.0618523i | ||||
\(109\) | 4.82590 | + | 1.75648i | 0.462237 | + | 0.168241i | 0.562633 | − | 0.826707i | \(-0.309789\pi\) |
−0.100395 | + | 0.994948i | \(0.532011\pi\) | |||||||
\(110\) | 1.84878 | − | 0.672899i | 0.176274 | − | 0.0641584i | ||||
\(111\) | −1.25202 | + | 1.05057i | −0.118837 | + | 0.0997159i | ||||
\(112\) | 0.422892 | + | 2.39834i | 0.0399595 | + | 0.226622i | ||||
\(113\) | 11.6802 | 1.09878 | 0.549390 | − | 0.835566i | \(-0.314860\pi\) | ||||
0.549390 | + | 0.835566i | \(0.314860\pi\) | |||||||
\(114\) | −4.08324 | + | 1.52549i | −0.382431 | + | 0.142875i | ||||
\(115\) | −1.72517 | −0.160873 | ||||||||
\(116\) | 0.0965400 | + | 0.547506i | 0.00896351 | + | 0.0508346i | ||||
\(117\) | 3.82056 | − | 3.20583i | 0.353211 | − | 0.296379i | ||||
\(118\) | 8.74112 | − | 3.18151i | 0.804685 | − | 0.292881i | ||||
\(119\) | −10.2727 | − | 3.73896i | −0.941696 | − | 0.342749i | ||||
\(120\) | 0.766044 | + | 0.642788i | 0.0699300 | + | 0.0586782i | ||||
\(121\) | 3.56462 | − | 6.17410i | 0.324056 | − | 0.561282i | ||||
\(122\) | −0.786128 | − | 1.36161i | −0.0711727 | − | 0.123275i | ||||
\(123\) | 0.679483 | − | 3.85354i | 0.0612669 | − | 0.347462i | ||||
\(124\) | 0.842501 | − | 4.77806i | 0.0756588 | − | 0.429082i | ||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | −1.21767 | + | 2.10906i | −0.108479 | + | 0.187890i | ||||
\(127\) | 12.3851 | + | 10.3923i | 1.09900 | + | 0.922170i | 0.997357 | − | 0.0726516i | \(-0.0231461\pi\) |
0.101641 | + | 0.994821i | \(0.467591\pi\) | |||||||
\(128\) | −0.939693 | − | 0.342020i | −0.0830579 | − | 0.0302306i | ||||
\(129\) | 2.11766 | − | 0.770766i | 0.186450 | − | 0.0678622i | ||||
\(130\) | 3.82056 | − | 3.20583i | 0.335085 | − | 0.281170i | ||||
\(131\) | 2.85381 | + | 16.1848i | 0.249338 | + | 1.41407i | 0.810197 | + | 0.586157i | \(0.199360\pi\) |
−0.560859 | + | 0.827911i | \(0.689529\pi\) | |||||||
\(132\) | −1.96743 | −0.171242 | ||||||||
\(133\) | −5.38541 | − | 9.14789i | −0.466974 | − | 0.793222i | ||||
\(134\) | −6.11574 | −0.528319 | ||||||||
\(135\) | 0.173648 | + | 0.984808i | 0.0149453 | + | 0.0847588i | ||||
\(136\) | 3.43869 | − | 2.88541i | 0.294866 | − | 0.247422i | ||||
\(137\) | 18.7888 | − | 6.83857i | 1.60524 | − | 0.584258i | 0.624747 | − | 0.780827i | \(-0.285202\pi\) |
0.980490 | + | 0.196569i | \(0.0629799\pi\) | |||||||
\(138\) | 1.62113 | + | 0.590043i | 0.138000 | + | 0.0502278i | ||||
\(139\) | 15.2975 | + | 12.8361i | 1.29751 | + | 1.08874i | 0.990569 | + | 0.137016i | \(0.0437511\pi\) |
0.306945 | + | 0.951727i | \(0.400693\pi\) | |||||||
\(140\) | −1.21767 | + | 2.10906i | −0.102912 | + | 0.178248i | ||||
\(141\) | −3.44021 | − | 5.95861i | −0.289718 | − | 0.501806i | ||||
\(142\) | 0.748078 | − | 4.24256i | 0.0627773 | − | 0.356028i | ||||
\(143\) | −1.70389 | + | 9.66323i | −0.142486 | + | 0.808080i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | −0.277976 | + | 0.481468i | −0.0230846 | + | 0.0399838i | ||||
\(146\) | 2.44982 | + | 2.05564i | 0.202749 | + | 0.170126i | ||||
\(147\) | 1.00466 | + | 0.365665i | 0.0828627 | + | 0.0301596i | ||||
\(148\) | 1.53583 | − | 0.558998i | 0.126245 | − | 0.0459493i | ||||
\(149\) | −0.983907 | + | 0.825596i | −0.0806048 | + | 0.0676355i | −0.682200 | − | 0.731166i | \(-0.738977\pi\) |
0.601595 | + | 0.798801i | \(0.294532\pi\) | |||||||
\(150\) | 0.173648 | + | 0.984808i | 0.0141783 | + | 0.0804092i | ||||
\(151\) | −1.31695 | −0.107172 | −0.0535860 | − | 0.998563i | \(-0.517065\pi\) | ||||
−0.0535860 | + | 0.998563i | \(0.517065\pi\) | |||||||
\(152\) | 4.35874 | − | 0.0369374i | 0.353541 | − | 0.00299602i | ||||
\(153\) | 4.48890 | 0.362906 | ||||||||
\(154\) | −0.832008 | − | 4.71855i | −0.0670451 | − | 0.380232i | ||||
\(155\) | 3.71667 | − | 3.11866i | 0.298530 | − | 0.250496i | ||||
\(156\) | −4.68661 | + | 1.70579i | −0.375229 | + | 0.136572i | ||||
\(157\) | 8.78289 | + | 3.19671i | 0.700951 | + | 0.255125i | 0.667817 | − | 0.744326i | \(-0.267229\pi\) |
0.0331339 | + | 0.999451i | \(0.489451\pi\) | |||||||
\(158\) | −6.63273 | − | 5.56552i | −0.527671 | − | 0.442769i | ||||
\(159\) | 0.700394 | − | 1.21312i | 0.0555449 | − | 0.0962065i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | −0.729560 | + | 4.13754i | −0.0574974 | + | 0.326084i | ||||
\(162\) | 0.173648 | − | 0.984808i | 0.0136431 | − | 0.0773738i | ||||
\(163\) | −11.3964 | − | 19.7391i | −0.892634 | − | 1.54609i | −0.836706 | − | 0.547653i | \(-0.815521\pi\) |
−0.0559285 | − | 0.998435i | \(-0.517812\pi\) | |||||||
\(164\) | −1.95649 | + | 3.38875i | −0.152776 | + | 0.264617i | ||||
\(165\) | −1.50714 | − | 1.26464i | −0.117330 | − | 0.0984519i | ||||
\(166\) | 13.5201 | + | 4.92093i | 1.04937 | + | 0.381938i | ||||
\(167\) | −1.44813 | + | 0.527077i | −0.112060 | + | 0.0407864i | −0.397442 | − | 0.917627i | \(-0.630102\pi\) |
0.285382 | + | 0.958414i | \(0.407880\pi\) | |||||||
\(168\) | 1.86558 | − | 1.56540i | 0.143932 | − | 0.120774i | ||||
\(169\) | 2.06190 | + | 11.6936i | 0.158607 | + | 0.899507i | ||||
\(170\) | 4.48890 | 0.344283 | ||||||||
\(171\) | 3.36273 | + | 2.77345i | 0.257155 | + | 0.212091i | ||||
\(172\) | −2.25357 | −0.171833 | ||||||||
\(173\) | −1.95424 | − | 11.0830i | −0.148578 | − | 0.842629i | −0.964424 | − | 0.264359i | \(-0.914839\pi\) |
0.815846 | − | 0.578269i | \(-0.196272\pi\) | |||||||
\(174\) | 0.425884 | − | 0.357359i | 0.0322862 | − | 0.0270913i | ||||
\(175\) | −2.28847 | + | 0.832934i | −0.172992 | + | 0.0629639i | ||||
\(176\) | 1.84878 | + | 0.672899i | 0.139357 | + | 0.0507217i | ||||
\(177\) | −7.12583 | − | 5.97928i | −0.535610 | − | 0.449430i | ||||
\(178\) | 1.12480 | − | 1.94821i | 0.0843072 | − | 0.146024i | ||||
\(179\) | −8.48614 | − | 14.6984i | −0.634284 | − | 1.09861i | −0.986666 | − | 0.162756i | \(-0.947962\pi\) |
0.352382 | − | 0.935856i | \(-0.385372\pi\) | |||||||
\(180\) | 0.173648 | − | 0.984808i | 0.0129430 | − | 0.0734032i | ||||
\(181\) | −1.14845 | + | 6.51319i | −0.0853637 | + | 0.484122i | 0.911914 | + | 0.410382i | \(0.134605\pi\) |
−0.997278 | + | 0.0737398i | \(0.976507\pi\) | |||||||
\(182\) | −6.07298 | − | 10.5187i | −0.450159 | − | 0.779699i | ||||
\(183\) | −0.786128 | + | 1.36161i | −0.0581123 | + | 0.100653i | ||||
\(184\) | −1.32156 | − | 1.10892i | −0.0974264 | − | 0.0817505i | ||||
\(185\) | 1.53583 | + | 0.558998i | 0.112917 | + | 0.0410983i | ||||
\(186\) | −4.55917 | + | 1.65940i | −0.334295 | + | 0.121673i | ||||
\(187\) | −6.76537 | + | 5.67682i | −0.494733 | + | 0.415130i | ||||
\(188\) | 1.19477 | + | 6.77588i | 0.0871376 | + | 0.494182i | ||||
\(189\) | 2.43534 | 0.177145 | ||||||||
\(190\) | 3.36273 | + | 2.77345i | 0.243958 | + | 0.201207i | ||||
\(191\) | −26.7019 | −1.93208 | −0.966040 | − | 0.258394i | \(-0.916807\pi\) | ||||
−0.966040 | + | 0.258394i | \(0.916807\pi\) | |||||||
\(192\) | 0.173648 | + | 0.984808i | 0.0125320 | + | 0.0710724i | ||||
\(193\) | 18.5867 | − | 15.5961i | 1.33790 | − | 1.12263i | 0.355737 | − | 0.934586i | \(-0.384230\pi\) |
0.982161 | − | 0.188043i | \(-0.0602145\pi\) | |||||||
\(194\) | 7.55321 | − | 2.74914i | 0.542289 | − | 0.197377i | ||||
\(195\) | −4.68661 | − | 1.70579i | −0.335615 | − | 0.122154i | ||||
\(196\) | −0.819004 | − | 0.687226i | −0.0585003 | − | 0.0490876i | ||||
\(197\) | 6.45636 | − | 11.1827i | 0.459996 | − | 0.796737i | −0.538964 | − | 0.842329i | \(-0.681184\pi\) |
0.998960 | + | 0.0455917i | \(0.0145173\pi\) | |||||||
\(198\) | 0.983713 | + | 1.70384i | 0.0699094 | + | 0.121087i | ||||
\(199\) | −3.56727 | + | 20.2310i | −0.252877 | + | 1.43414i | 0.548588 | + | 0.836093i | \(0.315166\pi\) |
−0.801465 | + | 0.598042i | \(0.795945\pi\) | |||||||
\(200\) | 0.173648 | − | 0.984808i | 0.0122788 | − | 0.0696364i | ||||
\(201\) | 3.05787 | + | 5.29638i | 0.215685 | + | 0.373578i | ||||
\(202\) | 6.58639 | − | 11.4080i | 0.463417 | − | 0.802661i | ||||
\(203\) | 1.03717 | + | 0.870289i | 0.0727951 | + | 0.0610823i | ||||
\(204\) | −4.21818 | − | 1.53529i | −0.295332 | − | 0.107492i | ||||
\(205\) | −3.67700 | + | 1.33832i | −0.256813 | + | 0.0934723i | ||||
\(206\) | 5.72288 | − | 4.80207i | 0.398732 | − | 0.334576i | ||||
\(207\) | −0.299572 | − | 1.69896i | −0.0208217 | − | 0.118086i | ||||
\(208\) | 4.98738 | 0.345813 | ||||||||
\(209\) | −8.57550 | + | 0.0726716i | −0.593180 | + | 0.00502680i | ||||
\(210\) | 2.43534 | 0.168054 | ||||||||
\(211\) | −1.61202 | − | 9.14223i | −0.110976 | − | 0.629377i | −0.988664 | − | 0.150145i | \(-0.952026\pi\) |
0.877688 | − | 0.479233i | \(-0.159085\pi\) | |||||||
\(212\) | −1.07307 | + | 0.900409i | −0.0736985 | + | 0.0618404i | ||||
\(213\) | −4.04820 | + | 1.47343i | −0.277378 | + | 0.100957i | ||||
\(214\) | −5.74717 | − | 2.09180i | −0.392869 | − | 0.142993i | ||||
\(215\) | −1.72633 | − | 1.44857i | −0.117735 | − | 0.0987914i | ||||
\(216\) | −0.500000 | + | 0.866025i | −0.0340207 | + | 0.0589256i | ||||
\(217\) | −5.90784 | − | 10.2327i | −0.401051 | − | 0.694640i | ||||
\(218\) | −0.891790 | + | 5.05759i | −0.0603997 | + | 0.342543i | ||||
\(219\) | 0.555329 | − | 3.14943i | 0.0375257 | − | 0.212819i | ||||
\(220\) | 0.983713 | + | 1.70384i | 0.0663219 | + | 0.114873i | ||||
\(221\) | −11.1939 | + | 19.3884i | −0.752985 | + | 1.30421i | ||||
\(222\) | −1.25202 | − | 1.05057i | −0.0840303 | − | 0.0705098i | ||||
\(223\) | −5.60125 | − | 2.03869i | −0.375087 | − | 0.136521i | 0.147596 | − | 0.989048i | \(-0.452847\pi\) |
−0.522683 | + | 0.852527i | \(0.675069\pi\) | |||||||
\(224\) | −2.28847 | + | 0.832934i | −0.152905 | + | 0.0556528i | ||||
\(225\) | 0.766044 | − | 0.642788i | 0.0510696 | − | 0.0428525i | ||||
\(226\) | 2.02824 | + | 11.5027i | 0.134917 | + | 0.765151i | ||||
\(227\) | 21.7624 | 1.44442 | 0.722209 | − | 0.691675i | \(-0.243127\pi\) | ||||
0.722209 | + | 0.691675i | \(0.243127\pi\) | |||||||
\(228\) | −2.21136 | − | 3.75631i | −0.146451 | − | 0.248768i | ||||
\(229\) | 17.3608 | 1.14723 | 0.573617 | − | 0.819123i | \(-0.305540\pi\) | ||||
0.573617 | + | 0.819123i | \(0.305540\pi\) | |||||||
\(230\) | −0.299572 | − | 1.69896i | −0.0197532 | − | 0.112026i | ||||
\(231\) | −3.67038 | + | 3.07982i | −0.241493 | + | 0.202637i | ||||
\(232\) | −0.522424 | + | 0.190147i | −0.0342988 | + | 0.0124837i | ||||
\(233\) | 27.1397 | + | 9.87805i | 1.77798 | + | 0.647133i | 0.999818 | + | 0.0190721i | \(0.00607120\pi\) |
0.778164 | + | 0.628061i | \(0.216151\pi\) | |||||||
\(234\) | 3.82056 | + | 3.20583i | 0.249758 | + | 0.209572i | ||||
\(235\) | −3.44021 | + | 5.95861i | −0.224414 | + | 0.388697i | ||||
\(236\) | 4.65105 | + | 8.05586i | 0.302758 | + | 0.524392i | ||||
\(237\) | −1.50352 | + | 8.52687i | −0.0976639 | + | 0.553880i | ||||
\(238\) | 1.89832 | − | 10.7659i | 0.123050 | − | 0.697849i | ||||
\(239\) | 0.584549 | + | 1.01247i | 0.0378113 | + | 0.0654911i | 0.884312 | − | 0.466897i | \(-0.154628\pi\) |
−0.846500 | + | 0.532388i | \(0.821295\pi\) | |||||||
\(240\) | −0.500000 | + | 0.866025i | −0.0322749 | + | 0.0559017i | ||||
\(241\) | 1.98684 | + | 1.66716i | 0.127984 | + | 0.107391i | 0.704533 | − | 0.709671i | \(-0.251157\pi\) |
−0.576549 | + | 0.817063i | \(0.695601\pi\) | |||||||
\(242\) | 6.69929 | + | 2.43834i | 0.430647 | + | 0.156743i | ||||
\(243\) | −0.939693 | + | 0.342020i | −0.0602813 | + | 0.0219406i | ||||
\(244\) | 1.20442 | − | 1.01063i | 0.0771050 | − | 0.0646988i | ||||
\(245\) | −0.185653 | − | 1.05289i | −0.0118609 | − | 0.0672668i | ||||
\(246\) | 3.91299 | 0.249483 | ||||||||
\(247\) | −20.3647 | + | 7.60819i | −1.29578 | + | 0.484098i | ||||
\(248\) | 4.85177 | 0.308088 | ||||||||
\(249\) | −2.49842 | − | 14.1693i | −0.158331 | − | 0.897940i | ||||
\(250\) | 0.766044 | − | 0.642788i | 0.0484489 | − | 0.0406535i | ||||
\(251\) | −3.02287 | + | 1.10023i | −0.190802 | + | 0.0694461i | −0.435654 | − | 0.900114i | \(-0.643483\pi\) |
0.244852 | + | 0.969560i | \(0.421261\pi\) | |||||||
\(252\) | −2.28847 | − | 0.832934i | −0.144160 | − | 0.0524699i | ||||
\(253\) | 2.60006 | + | 2.18171i | 0.163465 | + | 0.137163i | ||||
\(254\) | −8.08379 | + | 14.0015i | −0.507222 | + | 0.878535i | ||||
\(255\) | −2.24445 | − | 3.88750i | −0.140553 | − | 0.243445i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −5.29621 | + | 30.0363i | −0.330369 | + | 1.87361i | 0.138524 | + | 0.990359i | \(0.455764\pi\) |
−0.468893 | + | 0.883255i | \(0.655347\pi\) | |||||||
\(258\) | 1.12678 | + | 1.95165i | 0.0701506 | + | 0.121504i | ||||
\(259\) | 1.99016 | − | 3.44705i | 0.123662 | − | 0.214190i | ||||
\(260\) | 3.82056 | + | 3.20583i | 0.236941 | + | 0.198817i | ||||
\(261\) | −0.522424 | − | 0.190147i | −0.0323372 | − | 0.0117698i | ||||
\(262\) | −15.4433 | + | 5.62091i | −0.954091 | + | 0.347261i | ||||
\(263\) | −12.3751 | + | 10.3840i | −0.763084 | + | 0.640304i | −0.938928 | − | 0.344115i | \(-0.888179\pi\) |
0.175844 | + | 0.984418i | \(0.443735\pi\) | |||||||
\(264\) | −0.341640 | − | 1.93754i | −0.0210265 | − | 0.119247i | ||||
\(265\) | −1.40079 | −0.0860497 | ||||||||
\(266\) | 8.07374 | − | 6.89210i | 0.495033 | − | 0.422582i | ||||
\(267\) | −2.24960 | −0.137673 | ||||||||
\(268\) | −1.06199 | − | 6.02283i | −0.0648712 | − | 0.367903i | ||||
\(269\) | −4.51842 | + | 3.79140i | −0.275493 | + | 0.231166i | −0.770057 | − | 0.637975i | \(-0.779772\pi\) |
0.494564 | + | 0.869141i | \(0.335328\pi\) | |||||||
\(270\) | −0.939693 | + | 0.342020i | −0.0571879 | + | 0.0208147i | ||||
\(271\) | −22.3790 | − | 8.14530i | −1.35943 | − | 0.494792i | −0.443552 | − | 0.896249i | \(-0.646282\pi\) |
−0.915878 | + | 0.401457i | \(0.868504\pi\) | |||||||
\(272\) | 3.43869 | + | 2.88541i | 0.208501 | + | 0.174953i | ||||
\(273\) | −6.07298 | + | 10.5187i | −0.367553 | + | 0.636621i | ||||
\(274\) | 9.99732 | + | 17.3159i | 0.603960 | + | 1.04609i | ||||
\(275\) | −0.341640 | + | 1.93754i | −0.0206017 | + | 0.116838i | ||||
\(276\) | −0.299572 | + | 1.69896i | −0.0180321 | + | 0.102265i | ||||
\(277\) | −6.56088 | − | 11.3638i | −0.394205 | − | 0.682783i | 0.598795 | − | 0.800903i | \(-0.295647\pi\) |
−0.992999 | + | 0.118120i | \(0.962313\pi\) | |||||||
\(278\) | −9.98471 | + | 17.2940i | −0.598843 | + | 1.03723i | ||||
\(279\) | 3.71667 | + | 3.11866i | 0.222511 | + | 0.186709i | ||||
\(280\) | −2.28847 | − | 0.832934i | −0.136762 | − | 0.0497773i | ||||
\(281\) | −5.79710 | + | 2.10997i | −0.345826 | + | 0.125870i | −0.509093 | − | 0.860711i | \(-0.670019\pi\) |
0.163267 | + | 0.986582i | \(0.447797\pi\) | |||||||
\(282\) | 5.27070 | − | 4.42264i | 0.313866 | − | 0.263365i | ||||
\(283\) | −2.26504 | − | 12.8457i | −0.134643 | − | 0.763598i | −0.975108 | − | 0.221732i | \(-0.928829\pi\) |
0.840465 | − | 0.541866i | \(-0.182282\pi\) | |||||||
\(284\) | 4.30801 | 0.255633 | ||||||||
\(285\) | 0.720511 | − | 4.29894i | 0.0426794 | − | 0.254647i | ||||
\(286\) | −9.81231 | −0.580214 | ||||||||
\(287\) | 1.65477 | + | 9.38467i | 0.0976780 | + | 0.553959i | ||||
\(288\) | 0.766044 | − | 0.642788i | 0.0451396 | − | 0.0378766i | ||||
\(289\) | −2.96021 | + | 1.07743i | −0.174130 | + | 0.0633780i | ||||
\(290\) | −0.522424 | − | 0.190147i | −0.0306778 | − | 0.0111658i | ||||
\(291\) | −6.15743 | − | 5.16670i | −0.360955 | − | 0.302877i | ||||
\(292\) | −1.59901 | + | 2.76956i | −0.0935748 | + | 0.162076i | ||||
\(293\) | −9.76071 | − | 16.9060i | −0.570227 | − | 0.987662i | −0.996542 | − | 0.0830872i | \(-0.973522\pi\) |
0.426316 | − | 0.904575i | \(-0.359811\pi\) | |||||||
\(294\) | −0.185653 | + | 1.05289i | −0.0108275 | + | 0.0614059i | ||||
\(295\) | −1.61529 | + | 9.16079i | −0.0940460 | + | 0.533362i | ||||
\(296\) | 0.817200 | + | 1.41543i | 0.0474988 | + | 0.0822703i | ||||
\(297\) | 0.983713 | − | 1.70384i | 0.0570808 | − | 0.0988669i | ||||
\(298\) | −0.983907 | − | 0.825596i | −0.0569962 | − | 0.0478255i | ||||
\(299\) | 8.08519 | + | 2.94277i | 0.467579 | + | 0.170185i | ||||
\(300\) | −0.939693 | + | 0.342020i | −0.0542532 | + | 0.0197465i | ||||
\(301\) | −4.20421 | + | 3.52775i | −0.242326 | + | 0.203336i | ||||
\(302\) | −0.228686 | − | 1.29694i | −0.0131594 | − | 0.0746307i | ||||
\(303\) | −13.1728 | −0.756756 | ||||||||
\(304\) | 0.793264 | + | 4.28611i | 0.0454968 | + | 0.245825i | ||||
\(305\) | 1.57226 | 0.0900272 | ||||||||
\(306\) | 0.779489 | + | 4.42070i | 0.0445604 | + | 0.252715i | ||||
\(307\) | −18.2370 | + | 15.3027i | −1.04084 | + | 0.873371i | −0.992101 | − | 0.125441i | \(-0.959965\pi\) |
−0.0487414 | + | 0.998811i | \(0.515521\pi\) | |||||||
\(308\) | 4.50239 | − | 1.63874i | 0.256548 | − | 0.0933757i | ||||
\(309\) | −7.02016 | − | 2.55513i | −0.399363 | − | 0.145356i | ||||
\(310\) | 3.71667 | + | 3.11866i | 0.211093 | + | 0.177128i | ||||
\(311\) | −6.12651 | + | 10.6114i | −0.347402 | + | 0.601719i | −0.985787 | − | 0.167999i | \(-0.946270\pi\) |
0.638385 | + | 0.769717i | \(0.279603\pi\) | |||||||
\(312\) | −2.49369 | − | 4.31920i | −0.141177 | − | 0.244527i | ||||
\(313\) | −4.58318 | + | 25.9925i | −0.259056 | + | 1.46918i | 0.526385 | + | 0.850246i | \(0.323547\pi\) |
−0.785442 | + | 0.618936i | \(0.787564\pi\) | |||||||
\(314\) | −1.62301 | + | 9.20456i | −0.0915918 | + | 0.519443i | ||||
\(315\) | −1.21767 | − | 2.10906i | −0.0686078 | − | 0.118832i | ||||
\(316\) | 4.32921 | − | 7.49840i | 0.243537 | − | 0.421818i | ||||
\(317\) | 12.1620 | + | 10.2051i | 0.683086 | + | 0.573177i | 0.916906 | − | 0.399103i | \(-0.130678\pi\) |
−0.233820 | + | 0.972280i | \(0.575123\pi\) | |||||||
\(318\) | 1.31631 | + | 0.479098i | 0.0738150 | + | 0.0268665i | ||||
\(319\) | 1.02783 | − | 0.374099i | 0.0575474 | − | 0.0209455i | ||||
\(320\) | 0.766044 | − | 0.642788i | 0.0428232 | − | 0.0359329i | ||||
\(321\) | 1.06203 | + | 6.02310i | 0.0592770 | + | 0.336177i | ||||
\(322\) | −4.20137 | −0.234133 | ||||||||
\(323\) | −18.4427 | − | 6.53614i | −1.02618 | − | 0.363680i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 0.866050 | + | 4.91161i | 0.0480398 | + | 0.272447i | ||||
\(326\) | 17.4603 | − | 14.6509i | 0.967036 | − | 0.811439i | ||||
\(327\) | 4.82590 | − | 1.75648i | 0.266873 | − | 0.0971338i | ||||
\(328\) | −3.67700 | − | 1.33832i | −0.203029 | − | 0.0738964i | ||||
\(329\) | 12.8359 | + | 10.7706i | 0.707668 | + | 0.593804i | ||||
\(330\) | 0.983713 | − | 1.70384i | 0.0541516 | − | 0.0937933i | ||||
\(331\) | −12.5995 | − | 21.8229i | −0.692529 | − | 1.19950i | −0.971007 | − | 0.239053i | \(-0.923163\pi\) |
0.278478 | − | 0.960443i | \(-0.410170\pi\) | |||||||
\(332\) | −2.49842 | + | 14.1693i | −0.137119 | + | 0.777639i | ||||
\(333\) | −0.283811 | + | 1.60957i | −0.0155527 | + | 0.0882039i | ||||
\(334\) | −0.770535 | − | 1.33461i | −0.0421618 | − | 0.0730264i | ||||
\(335\) | 3.05787 | − | 5.29638i | 0.167069 | − | 0.289372i | ||||
\(336\) | 1.86558 | + | 1.56540i | 0.101776 | + | 0.0853998i | ||||
\(337\) | 14.3855 | + | 5.23589i | 0.783627 | + | 0.285217i | 0.702684 | − | 0.711502i | \(-0.251985\pi\) |
0.0809430 | + | 0.996719i | \(0.474207\pi\) | |||||||
\(338\) | −11.1579 | + | 4.06114i | −0.606910 | + | 0.220897i | ||||
\(339\) | 8.94755 | − | 7.50788i | 0.485964 | − | 0.407772i | ||||
\(340\) | 0.779489 | + | 4.42070i | 0.0422737 | + | 0.239746i | ||||
\(341\) | −9.54549 | −0.516917 | ||||||||
\(342\) | −2.14738 | + | 3.79325i | −0.116117 | + | 0.205115i | ||||
\(343\) | −19.6511 | −1.06106 | ||||||||
\(344\) | −0.391328 | − | 2.21933i | −0.0210990 | − | 0.119658i | ||||
\(345\) | −1.32156 | + | 1.10892i | −0.0711502 | + | 0.0597021i | ||||
\(346\) | 10.5753 | − | 3.84910i | 0.568533 | − | 0.206929i | ||||
\(347\) | 3.05554 | + | 1.11213i | 0.164030 | + | 0.0597021i | 0.422730 | − | 0.906256i | \(-0.361072\pi\) |
−0.258700 | + | 0.965958i | \(0.583294\pi\) | |||||||
\(348\) | 0.425884 | + | 0.357359i | 0.0228298 | + | 0.0191564i | ||||
\(349\) | −17.5001 | + | 30.3111i | −0.936760 | + | 1.62252i | −0.165294 | + | 0.986244i | \(0.552857\pi\) |
−0.771466 | + | 0.636271i | \(0.780476\pi\) | |||||||
\(350\) | −1.21767 | − | 2.10906i | −0.0650871 | − | 0.112734i | ||||
\(351\) | 0.866050 | − | 4.91161i | 0.0462263 | − | 0.262163i | ||||
\(352\) | −0.341640 | + | 1.93754i | −0.0182095 | + | 0.103271i | ||||
\(353\) | 7.43063 | + | 12.8702i | 0.395493 | + | 0.685014i | 0.993164 | − | 0.116728i | \(-0.0372405\pi\) |
−0.597671 | + | 0.801741i | \(0.703907\pi\) | |||||||
\(354\) | 4.65105 | − | 8.05586i | 0.247201 | − | 0.428164i | ||||
\(355\) | 3.30013 | + | 2.76913i | 0.175153 | + | 0.146970i | ||||
\(356\) | 2.11393 | + | 0.769408i | 0.112038 | + | 0.0407785i | ||||
\(357\) | −10.2727 | + | 3.73896i | −0.543689 | + | 0.197886i | ||||
\(358\) | 13.0015 | − | 10.9096i | 0.687152 | − | 0.576589i | ||||
\(359\) | 1.93313 | + | 10.9633i | 0.102027 | + | 0.578623i | 0.992366 | + | 0.123326i | \(0.0393559\pi\) |
−0.890339 | + | 0.455297i | \(0.849533\pi\) | |||||||
\(360\) | 1.00000 | 0.0527046 | ||||||||
\(361\) | −9.77750 | − | 16.2911i | −0.514605 | − | 0.857427i | ||||
\(362\) | −6.61367 | −0.347607 | ||||||||
\(363\) | −1.23798 | − | 7.02093i | −0.0649770 | − | 0.368503i | ||||
\(364\) | 9.30434 | − | 7.80727i | 0.487680 | − | 0.409212i | ||||
\(365\) | −3.00515 | + | 1.09378i | −0.157297 | + | 0.0572513i | ||||
\(366\) | −1.47744 | − | 0.537743i | −0.0772269 | − | 0.0281083i | ||||
\(367\) | 13.8730 | + | 11.6408i | 0.724166 | + | 0.607647i | 0.928534 | − | 0.371247i | \(-0.121070\pi\) |
−0.204369 | + | 0.978894i | \(0.565514\pi\) | |||||||
\(368\) | 0.862584 | − | 1.49404i | 0.0449653 | − | 0.0778822i | ||||
\(369\) | −1.95649 | − | 3.38875i | −0.101851 | − | 0.176411i | ||||
\(370\) | −0.283811 | + | 1.60957i | −0.0147546 | + | 0.0836776i | ||||
\(371\) | −0.592382 | + | 3.35956i | −0.0307549 | + | 0.174420i | ||||
\(372\) | −2.42588 | − | 4.20175i | −0.125776 | − | 0.217851i | ||||
\(373\) | 17.5607 | − | 30.4161i | 0.909259 | − | 1.57488i | 0.0941642 | − | 0.995557i | \(-0.469982\pi\) |
0.815095 | − | 0.579327i | \(-0.196685\pi\) | |||||||
\(374\) | −6.76537 | − | 5.67682i | −0.349829 | − | 0.293542i | ||||
\(375\) | −0.939693 | − | 0.342020i | −0.0485255 | − | 0.0176618i | ||||
\(376\) | −6.46547 | + | 2.35324i | −0.333431 | + | 0.121359i | ||||
\(377\) | 2.12405 | − | 1.78229i | 0.109394 | − | 0.0917924i | ||||
\(378\) | 0.422892 | + | 2.39834i | 0.0217512 | + | 0.123357i | ||||
\(379\) | 36.0175 | 1.85010 | 0.925048 | − | 0.379849i | \(-0.124024\pi\) | ||||
0.925048 | + | 0.379849i | \(0.124024\pi\) | |||||||
\(380\) | −2.14738 | + | 3.79325i | −0.110158 | + | 0.194590i | ||||
\(381\) | 16.1676 | 0.828290 | ||||||||
\(382\) | −4.63673 | − | 26.2962i | −0.237236 | − | 1.34543i | ||||
\(383\) | −4.31150 | + | 3.61778i | −0.220307 | + | 0.184860i | −0.746261 | − | 0.665653i | \(-0.768153\pi\) |
0.525954 | + | 0.850513i | \(0.323708\pi\) | |||||||
\(384\) | −0.939693 | + | 0.342020i | −0.0479535 | + | 0.0174536i | ||||
\(385\) | 4.50239 | + | 1.63874i | 0.229463 | + | 0.0835177i | ||||
\(386\) | 18.5867 | + | 15.5961i | 0.946037 | + | 0.793819i | ||||
\(387\) | 1.12678 | − | 1.95165i | 0.0572777 | − | 0.0992079i | ||||
\(388\) | 4.01898 | + | 6.96108i | 0.204033 | + | 0.353395i | ||||
\(389\) | −0.415260 | + | 2.35506i | −0.0210545 | + | 0.119406i | −0.993524 | − | 0.113626i | \(-0.963754\pi\) |
0.972469 | + | 0.233032i | \(0.0748647\pi\) | |||||||
\(390\) | 0.866050 | − | 4.91161i | 0.0438541 | − | 0.248709i | ||||
\(391\) | 3.87205 | + | 6.70659i | 0.195818 | + | 0.339167i | ||||
\(392\) | 0.534567 | − | 0.925897i | 0.0269997 | − | 0.0467649i | ||||
\(393\) | 12.5895 | + | 10.5639i | 0.635057 | + | 0.532876i | ||||
\(394\) | 12.1340 | + | 4.41641i | 0.611301 | + | 0.222495i | ||||
\(395\) | 8.13624 | − | 2.96135i | 0.409379 | − | 0.149002i | ||||
\(396\) | −1.50714 | + | 1.26464i | −0.0757364 | + | 0.0635504i | ||||
\(397\) | −3.38910 | − | 19.2205i | −0.170094 | − | 0.964650i | −0.943656 | − | 0.330929i | \(-0.892638\pi\) |
0.773562 | − | 0.633721i | \(-0.218473\pi\) | |||||||
\(398\) | −20.5431 | −1.02973 | ||||||||
\(399\) | −10.0056 | − | 3.54602i | −0.500907 | − | 0.177523i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | −4.34989 | − | 24.6695i | −0.217223 | − | 1.23193i | −0.877006 | − | 0.480479i | \(-0.840463\pi\) |
0.659783 | − | 0.751456i | \(-0.270648\pi\) | |||||||
\(402\) | −4.68493 | + | 3.93112i | −0.233663 | + | 0.196066i | ||||
\(403\) | −22.7383 | + | 8.27607i | −1.13268 | + | 0.412261i | ||||
\(404\) | 12.3784 | + | 4.50536i | 0.615847 | + | 0.224150i | ||||
\(405\) | 0.766044 | + | 0.642788i | 0.0380651 | + | 0.0319404i | ||||
\(406\) | −0.676965 | + | 1.17254i | −0.0335972 | + | 0.0581921i | ||||
\(407\) | −1.60778 | − | 2.78476i | −0.0796947 | − | 0.138035i | ||||
\(408\) | 0.779489 | − | 4.42070i | 0.0385904 | − | 0.218857i | ||||
\(409\) | 3.38634 | − | 19.2049i | 0.167444 | − | 0.949620i | −0.779066 | − | 0.626942i | \(-0.784306\pi\) |
0.946509 | − | 0.322677i | \(-0.104583\pi\) | |||||||
\(410\) | −1.95649 | − | 3.38875i | −0.0966243 | − | 0.167358i | ||||
\(411\) | 9.99732 | − | 17.3159i | 0.493131 | − | 0.854129i | ||||
\(412\) | 5.72288 | + | 4.80207i | 0.281946 | + | 0.236581i | ||||
\(413\) | 21.2876 | + | 7.74804i | 1.04749 | + | 0.381256i | ||||
\(414\) | 1.62113 | − | 0.590043i | 0.0796741 | − | 0.0289990i | ||||
\(415\) | −11.0217 | + | 9.24833i | −0.541035 | + | 0.453982i | ||||
\(416\) | 0.866050 | + | 4.91161i | 0.0424616 | + | 0.240812i | ||||
\(417\) | 19.9694 | 0.977906 | ||||||||
\(418\) | −1.56069 | − | 8.43260i | −0.0763357 | − | 0.412452i | ||||
\(419\) | 14.9325 | 0.729499 | 0.364750 | − | 0.931106i | \(-0.381155\pi\) | ||||
0.364750 | + | 0.931106i | \(0.381155\pi\) | |||||||
\(420\) | 0.422892 | + | 2.39834i | 0.0206350 | + | 0.117027i | ||||
\(421\) | 24.9795 | − | 20.9603i | 1.21743 | − | 1.02154i | 0.218473 | − | 0.975843i | \(-0.429892\pi\) |
0.998955 | − | 0.0457004i | \(-0.0145520\pi\) | |||||||
\(422\) | 8.72342 | − | 3.17506i | 0.424649 | − | 0.154560i | ||||
\(423\) | −6.46547 | − | 2.35324i | −0.314362 | − | 0.114418i | ||||
\(424\) | −1.07307 | − | 0.900409i | −0.0521127 | − | 0.0437277i | ||||
\(425\) | −2.24445 | + | 3.88750i | −0.108872 | + | 0.188571i | ||||
\(426\) | −2.15400 | − | 3.73085i | −0.104362 | − | 0.180760i | ||||
\(427\) | 0.664894 | − | 3.77080i | 0.0321765 | − | 0.182482i | ||||
\(428\) | 1.06203 | − | 6.02310i | 0.0513354 | − | 0.291137i | ||||
\(429\) | 4.90615 | + | 8.49771i | 0.236871 | + | 0.410273i | ||||
\(430\) | 1.12678 | − | 1.95165i | 0.0543384 | − | 0.0941169i | ||||
\(431\) | 3.37722 | + | 2.83383i | 0.162675 | + | 0.136501i | 0.720492 | − | 0.693464i | \(-0.243916\pi\) |
−0.557816 | + | 0.829964i | \(0.688361\pi\) | |||||||
\(432\) | −0.939693 | − | 0.342020i | −0.0452110 | − | 0.0164555i | ||||
\(433\) | −11.0667 | + | 4.02795i | −0.531831 | + | 0.193571i | −0.593956 | − | 0.804498i | \(-0.702435\pi\) |
0.0621245 | + | 0.998068i | \(0.480212\pi\) | |||||||
\(434\) | 9.05134 | − | 7.59498i | 0.434478 | − | 0.364571i | ||||
\(435\) | 0.0965400 | + | 0.547506i | 0.00462874 | + | 0.0262509i | ||||
\(436\) | −5.13562 | −0.245951 | ||||||||
\(437\) | −1.24300 | + | 7.41639i | −0.0594609 | + | 0.354774i | ||||
\(438\) | 3.19801 | 0.152807 | ||||||||
\(439\) | −0.100133 | − | 0.567885i | −0.00477911 | − | 0.0271037i | 0.982325 | − | 0.187184i | \(-0.0599359\pi\) |
−0.987104 | + | 0.160080i | \(0.948825\pi\) | |||||||
\(440\) | −1.50714 | + | 1.26464i | −0.0718499 | + | 0.0602892i | ||||
\(441\) | 1.00466 | − | 0.365665i | 0.0478408 | − | 0.0174126i | ||||
\(442\) | −21.0377 | − | 7.65709i | −1.00066 | − | 0.364211i | ||||
\(443\) | 0.815551 | + | 0.684328i | 0.0387480 | + | 0.0325134i | 0.661956 | − | 0.749543i | \(-0.269727\pi\) |
−0.623208 | + | 0.782056i | \(0.714171\pi\) | |||||||
\(444\) | 0.817200 | − | 1.41543i | 0.0387826 | − | 0.0671735i | ||||
\(445\) | 1.12480 | + | 1.94821i | 0.0533206 | + | 0.0923539i | ||||
\(446\) | 1.03507 | − | 5.87017i | 0.0490119 | − | 0.277961i | ||||
\(447\) | −0.223034 | + | 1.26489i | −0.0105491 | + | 0.0598271i | ||||
\(448\) | −1.21767 | − | 2.10906i | −0.0575294 | − | 0.0996439i | ||||
\(449\) | 3.50690 | − | 6.07414i | 0.165501 | − | 0.286656i | −0.771332 | − | 0.636433i | \(-0.780409\pi\) |
0.936833 | + | 0.349777i | \(0.113743\pi\) | |||||||
\(450\) | 0.766044 | + | 0.642788i | 0.0361117 | + | 0.0303013i | ||||
\(451\) | 7.23423 | + | 2.63305i | 0.340647 | + | 0.123985i | ||||
\(452\) | −10.9758 | + | 3.99486i | −0.516258 | + | 0.187903i | ||||
\(453\) | −1.00884 | + | 0.846520i | −0.0473996 | + | 0.0397730i | ||||
\(454\) | 3.77899 | + | 21.4317i | 0.177357 | + | 1.00584i | ||||
\(455\) | 12.1460 | 0.569411 | ||||||||
\(456\) | 3.31525 | − | 2.83004i | 0.155251 | − | 0.132529i | ||||
\(457\) | −2.68109 | −0.125416 | −0.0627082 | − | 0.998032i | \(-0.519974\pi\) | ||||
−0.0627082 | + | 0.998032i | \(0.519974\pi\) | |||||||
\(458\) | 3.01467 | + | 17.0971i | 0.140866 | + | 0.798893i | ||||
\(459\) | 3.43869 | − | 2.88541i | 0.160504 | − | 0.134679i | ||||
\(460\) | 1.62113 | − | 0.590043i | 0.0755855 | − | 0.0275109i | ||||
\(461\) | 21.4877 | + | 7.82088i | 1.00078 | + | 0.364255i | 0.789886 | − | 0.613254i | \(-0.210140\pi\) |
0.210896 | + | 0.977509i | \(0.432362\pi\) | |||||||
\(462\) | −3.67038 | − | 3.07982i | −0.170762 | − | 0.143286i | ||||
\(463\) | −14.3479 | + | 24.8513i | −0.666804 | + | 1.15494i | 0.311989 | + | 0.950086i | \(0.399005\pi\) |
−0.978793 | + | 0.204852i | \(0.934329\pi\) | |||||||
\(464\) | −0.277976 | − | 0.481468i | −0.0129047 | − | 0.0223516i | ||||
\(465\) | 0.842501 | − | 4.77806i | 0.0390700 | − | 0.221577i | ||||
\(466\) | −5.01522 | + | 28.4427i | −0.232326 | + | 1.31758i | ||||
\(467\) | −8.15066 | − | 14.1174i | −0.377167 | − | 0.653273i | 0.613481 | − | 0.789709i | \(-0.289769\pi\) |
−0.990649 | + | 0.136436i | \(0.956435\pi\) | |||||||
\(468\) | −2.49369 | + | 4.31920i | −0.115271 | + | 0.199655i | ||||
\(469\) | −11.4094 | − | 9.57360i | −0.526836 | − | 0.442068i | ||||
\(470\) | −6.46547 | − | 2.35324i | −0.298230 | − | 0.108547i | ||||
\(471\) | 8.78289 | − | 3.19671i | 0.404694 | − | 0.147297i | ||||
\(472\) | −7.12583 | + | 5.97928i | −0.327993 | + | 0.275219i | ||||
\(473\) | 0.769909 | + | 4.36637i | 0.0354005 | + | 0.200766i | ||||
\(474\) | −8.65841 | −0.397694 | ||||||||
\(475\) | −4.08324 | + | 1.52549i | −0.187352 | + | 0.0699942i | ||||
\(476\) | 10.9320 | 0.501066 | ||||||||
\(477\) | −0.243244 | − | 1.37951i | −0.0111374 | − | 0.0631633i | ||||
\(478\) | −0.895581 | + | 0.751482i | −0.0409629 | + | 0.0343720i | ||||
\(479\) | 35.7021 | − | 12.9945i | 1.63127 | − | 0.593734i | 0.645790 | − | 0.763515i | \(-0.276528\pi\) |
0.985482 | + | 0.169781i | \(0.0543059\pi\) | |||||||
\(480\) | −0.939693 | − | 0.342020i | −0.0428909 | − | 0.0156110i | ||||
\(481\) | −6.24432 | − | 5.23961i | −0.284717 | − | 0.238906i | ||||
\(482\) | −1.29682 | + | 2.24616i | −0.0590685 | + | 0.102310i | ||||
\(483\) | 2.10068 | + | 3.63849i | 0.0955844 | + | 0.165557i | ||||
\(484\) | −1.23798 | + | 7.02093i | −0.0562718 | + | 0.319133i | ||||
\(485\) | −1.39578 | + | 7.91585i | −0.0633790 | + | 0.359440i | ||||
\(486\) | −0.500000 | − | 0.866025i | −0.0226805 | − | 0.0392837i | ||||
\(487\) | 21.4300 | − | 37.1178i | 0.971086 | − | 1.68197i | 0.278796 | − | 0.960350i | \(-0.410065\pi\) |
0.692290 | − | 0.721620i | \(-0.256602\pi\) | |||||||
\(488\) | 1.20442 | + | 1.01063i | 0.0545215 | + | 0.0457489i | ||||
\(489\) | −21.4182 | − | 7.79559i | −0.968565 | − | 0.352529i | ||||
\(490\) | 1.00466 | − | 0.365665i | 0.0453858 | − | 0.0165191i | ||||
\(491\) | 27.4119 | − | 23.0013i | 1.23708 | − | 1.03803i | 0.239335 | − | 0.970937i | \(-0.423071\pi\) |
0.997746 | − | 0.0670973i | \(-0.0213738\pi\) | |||||||
\(492\) | 0.679483 | + | 3.85354i | 0.0306335 | + | 0.173731i | ||||
\(493\) | 2.49561 | 0.112397 | ||||||||
\(494\) | −11.0289 | − | 18.7342i | −0.496214 | − | 0.842890i | ||||
\(495\) | −1.96743 | −0.0884292 | ||||||||
\(496\) | 0.842501 | + | 4.77806i | 0.0378294 | + | 0.214541i | ||||
\(497\) | 8.03692 | − | 6.74378i | 0.360505 | − | 0.302500i | ||||
\(498\) | 13.5201 | − | 4.92093i | 0.605852 | − | 0.220512i | ||||
\(499\) | −30.2273 | − | 11.0018i | −1.35316 | − | 0.492510i | −0.439227 | − | 0.898376i | \(-0.644748\pi\) |
−0.913932 | + | 0.405866i | \(0.866970\pi\) | |||||||
\(500\) | 0.766044 | + | 0.642788i | 0.0342585 | + | 0.0287463i | ||||
\(501\) | −0.770535 | + | 1.33461i | −0.0344250 | + | 0.0596258i | ||||
\(502\) | −1.60843 | − | 2.78589i | −0.0717879 | − | 0.124340i | ||||
\(503\) | −5.21293 | + | 29.5640i | −0.232433 | + | 1.31819i | 0.615520 | + | 0.788121i | \(0.288946\pi\) |
−0.847953 | + | 0.530072i | \(0.822165\pi\) | |||||||
\(504\) | 0.422892 | − | 2.39834i | 0.0188371 | − | 0.106830i | ||||
\(505\) | 6.58639 | + | 11.4080i | 0.293090 | + | 0.507648i | ||||
\(506\) | −1.69707 | + | 2.93941i | −0.0754440 | + | 0.130673i | ||||
\(507\) | 9.09600 | + | 7.63245i | 0.403968 | + | 0.338969i | ||||
\(508\) | −15.1926 | − | 5.52964i | −0.674061 | − | 0.245338i | ||||
\(509\) | 17.5179 | − | 6.37599i | 0.776467 | − | 0.282611i | 0.0767684 | − | 0.997049i | \(-0.475540\pi\) |
0.699699 | + | 0.714438i | \(0.253318\pi\) | |||||||
\(510\) | 3.43869 | − | 2.88541i | 0.152268 | − | 0.127768i | ||||
\(511\) | 1.35241 | + | 7.66992i | 0.0598273 | + | 0.339297i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 4.35874 | − | 0.0369374i | 0.192443 | − | 0.00163083i | ||||
\(514\) | −30.4997 | −1.34528 | ||||||||
\(515\) | 1.29727 | + | 7.35720i | 0.0571647 | + | 0.324197i | ||||
\(516\) | −1.72633 | + | 1.44857i | −0.0759976 | + | 0.0637696i | ||||
\(517\) | 12.7203 | − | 4.62982i | 0.559440 | − | 0.203619i | ||||
\(518\) | 3.74027 | + | 1.36135i | 0.164338 | + | 0.0598142i | ||||
\(519\) | −8.62108 | − | 7.23395i | −0.378423 | − | 0.317535i | ||||
\(520\) | −2.49369 | + | 4.31920i | −0.109356 | + | 0.189409i | ||||
\(521\) | −19.9463 | − | 34.5480i | −0.873862 | − | 1.51357i | −0.857970 | − | 0.513700i | \(-0.828274\pi\) |
−0.0158922 | − | 0.999874i | \(-0.505059\pi\) | |||||||
\(522\) | 0.0965400 | − | 0.547506i | 0.00422544 | − | 0.0239637i | ||||
\(523\) | 0.00292704 | − | 0.0166001i | 0.000127990 | − | 0.000725870i | −0.984744 | − | 0.174011i | \(-0.944327\pi\) |
0.984872 | + | 0.173285i | \(0.0554382\pi\) | |||||||
\(524\) | −8.21722 | − | 14.2326i | −0.358971 | − | 0.621756i | ||||
\(525\) | −1.21767 | + | 2.10906i | −0.0531434 | + | 0.0920471i | ||||
\(526\) | −12.3751 | − | 10.3840i | −0.539582 | − | 0.452763i | ||||
\(527\) | −20.4656 | − | 7.44888i | −0.891497 | − | 0.324478i | ||||
\(528\) | 1.84878 | − | 0.672899i | 0.0804576 | − | 0.0292842i | ||||
\(529\) | −15.3391 | + | 12.8710i | −0.666918 | + | 0.559611i | ||||
\(530\) | −0.243244 | − | 1.37951i | −0.0105659 | − | 0.0599219i | ||||
\(531\) | −9.30211 | −0.403677 | ||||||||
\(532\) | 8.18939 | + | 6.75429i | 0.355055 | + | 0.292835i | ||||
\(533\) | 19.5156 | 0.845313 | ||||||||
\(534\) | −0.390638 | − | 2.21542i | −0.0169046 | − | 0.0958706i | ||||
\(535\) | 4.68514 | − | 3.93130i | 0.202556 | − | 0.169965i | ||||
\(536\) | 5.74691 | − | 2.09171i | 0.248229 | − | 0.0903479i | ||||
\(537\) | −15.9487 | − | 5.80486i | −0.688239 | − | 0.250498i | ||||
\(538\) | −4.51842 | − | 3.79140i | −0.194803 | − | 0.163459i | ||||
\(539\) | −1.05172 | + | 1.82163i | −0.0453008 | + | 0.0784633i | ||||
\(540\) | −0.500000 | − | 0.866025i | −0.0215166 | − | 0.0372678i | ||||
\(541\) | 4.18833 | − | 23.7532i | 0.180070 | − | 1.02123i | −0.752057 | − | 0.659099i | \(-0.770938\pi\) |
0.932127 | − | 0.362132i | \(-0.117951\pi\) | |||||||
\(542\) | 4.13548 | − | 23.4535i | 0.177634 | − | 1.00741i | ||||
\(543\) | 3.30683 | + | 5.72760i | 0.141910 | + | 0.245795i | ||||
\(544\) | −2.24445 | + | 3.88750i | −0.0962299 | + | 0.166675i | ||||
\(545\) | −3.93411 | − | 3.30111i | −0.168519 | − | 0.141404i | ||||
\(546\) | −11.4135 | − | 4.15416i | −0.488451 | − | 0.177782i | ||||
\(547\) | 2.98918 | − | 1.08797i | 0.127808 | − | 0.0465183i | −0.277324 | − | 0.960776i | \(-0.589448\pi\) |
0.405132 | + | 0.914258i | \(0.367225\pi\) | |||||||
\(548\) | −15.3168 | + | 12.8523i | −0.654301 | + | 0.549023i | ||||
\(549\) | 0.273019 | + | 1.54837i | 0.0116522 | + | 0.0660828i | ||||
\(550\) | −1.96743 | −0.0838913 | ||||||||
\(551\) | 1.86952 | + | 1.54190i | 0.0796441 | + | 0.0656873i | ||||
\(552\) | −1.72517 | −0.0734281 | ||||||||
\(553\) | −3.66157 | − | 20.7658i | −0.155706 | − | 0.883052i | ||||
\(554\) | 10.0518 | − | 8.43450i | 0.427062 | − | 0.358348i | ||||
\(555\) | 1.53583 | − | 0.558998i | 0.0651925 | − | 0.0237281i | ||||
\(556\) | −18.7651 | − | 6.82994i | −0.795818 | − | 0.289654i | ||||
\(557\) | −12.3758 | − | 10.3845i | −0.524379 | − | 0.440006i | 0.341776 | − | 0.939781i | \(-0.388972\pi\) |
−0.866155 | + | 0.499775i | \(0.833416\pi\) | |||||||
\(558\) | −2.42588 | + | 4.20175i | −0.102696 | + | 0.177874i | ||||
\(559\) | 5.61971 | + | 9.73362i | 0.237688 | + | 0.411688i | ||||
\(560\) | 0.422892 | − | 2.39834i | 0.0178704 | − | 0.101348i | ||||
\(561\) | −1.53359 | + | 8.69740i | −0.0647480 | + | 0.367204i | ||||
\(562\) | −3.08458 | − | 5.34264i | −0.130115 | − | 0.225366i | ||||
\(563\) | −6.10953 | + | 10.5820i | −0.257486 | + | 0.445979i | −0.965568 | − | 0.260151i | \(-0.916227\pi\) |
0.708082 | + | 0.706131i | \(0.249561\pi\) | |||||||
\(564\) | 5.27070 | + | 4.42264i | 0.221937 | + | 0.186227i | ||||
\(565\) | −10.9758 | − | 3.99486i | −0.461755 | − | 0.168065i | ||||
\(566\) | 12.2572 | − | 4.46127i | 0.515210 | − | 0.187521i | ||||
\(567\) | 1.86558 | − | 1.56540i | 0.0783468 | − | 0.0657408i | ||||
\(568\) | 0.748078 | + | 4.24256i | 0.0313887 | + | 0.178014i | ||||
\(569\) | −46.5888 | −1.95310 | −0.976552 | − | 0.215284i | \(-0.930932\pi\) | ||||
−0.976552 | + | 0.215284i | \(0.930932\pi\) | |||||||
\(570\) | 4.35874 | − | 0.0369374i | 0.182568 | − | 0.00154714i | ||||
\(571\) | 38.5004 | 1.61119 | 0.805595 | − | 0.592467i | \(-0.201846\pi\) | ||||
0.805595 | + | 0.592467i | \(0.201846\pi\) | |||||||
\(572\) | −1.70389 | − | 9.66323i | −0.0712432 | − | 0.404040i | ||||
\(573\) | −20.4548 | + | 17.1636i | −0.854512 | + | 0.717021i | ||||
\(574\) | −8.95475 | + | 3.25926i | −0.373764 | + | 0.136039i | ||||
\(575\) | 1.62113 | + | 0.590043i | 0.0676057 | + | 0.0246065i | ||||
\(576\) | 0.766044 | + | 0.642788i | 0.0319185 | + | 0.0267828i | ||||
\(577\) | 12.8569 | − | 22.2688i | 0.535240 | − | 0.927062i | −0.463912 | − | 0.885881i | \(-0.653555\pi\) |
0.999152 | − | 0.0411810i | \(-0.0131120\pi\) | |||||||
\(578\) | −1.57509 | − | 2.72814i | −0.0655152 | − | 0.113476i | ||||
\(579\) | 4.21326 | − | 23.8946i | 0.175097 | − | 0.993024i | ||||
\(580\) | 0.0965400 | − | 0.547506i | 0.00400861 | − | 0.0227339i | ||||
\(581\) | 17.5196 | + | 30.3449i | 0.726836 | + | 1.25892i | ||||
\(582\) | 4.01898 | − | 6.96108i | 0.166592 | − | 0.288546i | ||||
\(583\) | 2.11118 | + | 1.77149i | 0.0874360 | + | 0.0733675i | ||||
\(584\) | −3.00515 | − | 1.09378i | −0.124354 | − | 0.0452611i | ||||
\(585\) | −4.68661 | + | 1.70579i | −0.193767 | + | 0.0705255i | ||||
\(586\) | 14.9543 | − | 12.5481i | 0.617755 | − | 0.518358i | ||||
\(587\) | 1.29631 | + | 7.35174i | 0.0535045 | + | 0.303439i | 0.999803 | − | 0.0198556i | \(-0.00632065\pi\) |
−0.946298 | + | 0.323295i | \(0.895210\pi\) | |||||||
\(588\) | −1.06913 | −0.0440903 | ||||||||
\(589\) | −10.7290 | − | 18.2248i | −0.442081 | − | 0.750938i | ||||
\(590\) | −9.30211 | −0.382962 | ||||||||
\(591\) | −2.24227 | − | 12.7165i | −0.0922347 | − | 0.523089i | ||||
\(592\) | −1.25202 | + | 1.05057i | −0.0514579 | + | 0.0431783i | ||||
\(593\) | 16.6029 | − | 6.04296i | 0.681799 | − | 0.248155i | 0.0221792 | − | 0.999754i | \(-0.492940\pi\) |
0.659620 | + | 0.751599i | \(0.270717\pi\) | |||||||
\(594\) | 1.84878 | + | 0.672899i | 0.0758562 | + | 0.0276094i | ||||
\(595\) | 8.37438 | + | 7.02694i | 0.343316 | + | 0.288076i | ||||
\(596\) | 0.642200 | − | 1.11232i | 0.0263055 | − | 0.0455625i | ||||
\(597\) | 10.2715 | + | 17.7908i | 0.420386 | + | 0.728130i | ||||
\(598\) | −1.49408 | + | 8.47336i | −0.0610976 | + | 0.346502i | ||||
\(599\) | 1.05542 | − | 5.98559i | 0.0431233 | − | 0.244565i | −0.955625 | − | 0.294587i | \(-0.904818\pi\) |
0.998748 | + | 0.0500221i | \(0.0159292\pi\) | |||||||
\(600\) | −0.500000 | − | 0.866025i | −0.0204124 | − | 0.0353553i | ||||
\(601\) | 0.438737 | − | 0.759915i | 0.0178965 | − | 0.0309976i | −0.856938 | − | 0.515419i | \(-0.827636\pi\) |
0.874835 | + | 0.484421i | \(0.160970\pi\) | |||||||
\(602\) | −4.20421 | − | 3.52775i | −0.171351 | − | 0.143780i | ||||
\(603\) | 5.74691 | + | 2.09171i | 0.234032 | + | 0.0851808i | ||||
\(604\) | 1.23753 | − | 0.450424i | 0.0503543 | − | 0.0183275i | ||||
\(605\) | −5.46131 | + | 4.58258i | −0.222034 | + | 0.186309i | ||||
\(606\) | −2.28743 | − | 12.9727i | −0.0929205 | − | 0.526978i | ||||
\(607\) | 36.5323 | 1.48280 | 0.741400 | − | 0.671064i | \(-0.234162\pi\) | ||||
0.741400 | + | 0.671064i | \(0.234162\pi\) | |||||||
\(608\) | −4.08324 | + | 1.52549i | −0.165597 | + | 0.0618667i | ||||
\(609\) | 1.35393 | 0.0548640 | ||||||||
\(610\) | 0.273019 | + | 1.54837i | 0.0110542 | + | 0.0626917i | ||||
\(611\) | 26.2870 | − | 22.0574i | 1.06346 | − | 0.892348i | ||||
\(612\) | −4.21818 | + | 1.53529i | −0.170510 | + | 0.0620605i | ||||
\(613\) | 5.30290 | + | 1.93010i | 0.214182 | + | 0.0779559i | 0.446883 | − | 0.894592i | \(-0.352534\pi\) |
−0.232701 | + | 0.972548i | \(0.574756\pi\) | |||||||
\(614\) | −18.2370 | − | 15.3027i | −0.735987 | − | 0.617566i | ||||
\(615\) | −1.95649 | + | 3.38875i | −0.0788934 | + | 0.136647i | ||||
\(616\) | 2.39567 | + | 4.14943i | 0.0965244 | + | 0.167185i | ||||
\(617\) | −6.92510 | + | 39.2742i | −0.278794 | + | 1.58112i | 0.447851 | + | 0.894108i | \(0.352189\pi\) |
−0.726646 | + | 0.687013i | \(0.758922\pi\) | |||||||
\(618\) | 1.29727 | − | 7.35720i | 0.0521840 | − | 0.295950i | ||||
\(619\) | 18.9141 | + | 32.7602i | 0.760223 | + | 1.31674i | 0.942736 | + | 0.333541i | \(0.108244\pi\) |
−0.182513 | + | 0.983203i | \(0.558423\pi\) | |||||||
\(620\) | −2.42588 | + | 4.20175i | −0.0974258 | + | 0.168746i | ||||
\(621\) | −1.32156 | − | 1.10892i | −0.0530322 | − | 0.0444993i | ||||
\(622\) | −11.5141 | − | 4.19078i | −0.461672 | − | 0.168035i | ||||
\(623\) | 5.14813 | − | 1.87377i | 0.206256 | − | 0.0750709i | ||||
\(624\) | 3.82056 | − | 3.20583i | 0.152945 | − | 0.128336i | ||||
\(625\) | 0.173648 | + | 0.984808i | 0.00694593 | + | 0.0393923i | ||||
\(626\) | −26.3935 | −1.05489 | ||||||||
\(627\) | −6.52250 | + | 5.56790i | −0.260484 | + | 0.222360i | ||||
\(628\) | −9.34655 | −0.372968 | ||||||||
\(629\) | −1.27400 | − | 7.22519i | −0.0507976 | − | 0.288087i | ||||
\(630\) | 1.86558 | − | 1.56540i | 0.0743263 | − | 0.0623672i | ||||
\(631\) | 8.32105 | − | 3.02861i | 0.331256 | − | 0.120567i | −0.171038 | − | 0.985264i | \(-0.554712\pi\) |
0.502293 | + | 0.864697i | \(0.332490\pi\) | |||||||
\(632\) | 8.13624 | + | 2.96135i | 0.323642 | + | 0.117796i | ||||
\(633\) | −7.11139 | − | 5.96717i | −0.282653 | − | 0.237174i | ||||
\(634\) | −7.93818 | + | 13.7493i | −0.315265 | + | 0.546056i | ||||
\(635\) | −8.08379 | − | 14.0015i | −0.320796 | − | 0.555634i | ||||
\(636\) | −0.243244 | + | 1.37951i | −0.00964526 | + | 0.0547010i | ||||
\(637\) | −0.925924 | + | 5.25117i | −0.0366864 | + | 0.208059i | ||||
\(638\) | 0.546897 | + | 0.947253i | 0.0216519 | + | 0.0375021i | ||||
\(639\) | −2.15400 | + | 3.73085i | −0.0852111 | + | 0.147590i | ||||
\(640\) | 0.766044 | + | 0.642788i | 0.0302806 | + | 0.0254084i | ||||
\(641\) | −31.6119 | − | 11.5058i | −1.24860 | − | 0.454451i | −0.368668 | − | 0.929561i | \(-0.620186\pi\) |
−0.879927 | + | 0.475109i | \(0.842408\pi\) | |||||||
\(642\) | −5.74717 | + | 2.09180i | −0.226823 | + | 0.0825568i | ||||
\(643\) | 4.60009 | − | 3.85993i | 0.181410 | − | 0.152221i | −0.547561 | − | 0.836766i | \(-0.684444\pi\) |
0.728971 | + | 0.684545i | \(0.239999\pi\) | |||||||
\(644\) | −0.729560 | − | 4.13754i | −0.0287487 | − | 0.163042i | ||||
\(645\) | −2.25357 | −0.0887342 | ||||||||
\(646\) | 3.23430 | − | 19.2975i | 0.127252 | − | 0.759249i | ||||
\(647\) | −41.8549 | −1.64548 | −0.822742 | − | 0.568415i | \(-0.807557\pi\) | ||||
−0.822742 | + | 0.568415i | \(0.807557\pi\) | |||||||
\(648\) | 0.173648 | + | 0.984808i | 0.00682154 | + | 0.0386869i | ||||
\(649\) | 14.0195 | − | 11.7638i | 0.550315 | − | 0.461769i | ||||
\(650\) | −4.68661 | + | 1.70579i | −0.183824 | + | 0.0669064i | ||||
\(651\) | −11.1031 | − | 4.04120i | −0.435165 | − | 0.158387i | ||||
\(652\) | 17.4603 | + | 14.6509i | 0.683797 | + | 0.573774i | ||||
\(653\) | −8.78897 | + | 15.2229i | −0.343939 | + | 0.595720i | −0.985160 | − | 0.171636i | \(-0.945095\pi\) |
0.641222 | + | 0.767356i | \(0.278428\pi\) | |||||||
\(654\) | 2.56781 | + | 4.44757i | 0.100409 | + | 0.173914i | ||||
\(655\) | 2.85381 | − | 16.1848i | 0.111508 | − | 0.632391i | ||||
\(656\) | 0.679483 | − | 3.85354i | 0.0265294 | − | 0.150455i | ||||
\(657\) | −1.59901 | − | 2.76956i | −0.0623832 | − | 0.108051i | ||||
\(658\) | −8.37806 | + | 14.5112i | −0.326611 | + | 0.565707i | ||||
\(659\) | −7.98770 | − | 6.70247i | −0.311157 | − | 0.261091i | 0.473813 | − | 0.880625i | \(-0.342877\pi\) |
−0.784970 | + | 0.619534i | \(0.787322\pi\) | |||||||
\(660\) | 1.84878 | + | 0.672899i | 0.0719635 | + | 0.0261926i | ||||
\(661\) | 26.7394 | − | 9.73234i | 1.04004 | − | 0.378544i | 0.235145 | − | 0.971960i | \(-0.424443\pi\) |
0.804896 | + | 0.593416i | \(0.202221\pi\) | |||||||
\(662\) | 19.3035 | − | 16.1976i | 0.750252 | − | 0.629536i | ||||
\(663\) | 3.88761 | + | 22.0477i | 0.150982 | + | 0.856263i | ||||
\(664\) | −14.3878 | −0.558357 | ||||||||
\(665\) | 1.93186 | + | 10.4381i | 0.0749145 | + | 0.404773i | ||||
\(666\) | −1.63440 | −0.0633317 | ||||||||
\(667\) | −0.166548 | − | 0.944539i | −0.00644876 | − | 0.0365727i | ||||
\(668\) | 1.18053 | − | 0.990581i | 0.0456760 | − | 0.0383267i | ||||
\(669\) | −5.60125 | + | 2.03869i | −0.216557 | + | 0.0788202i | ||||
\(670\) | 5.74691 | + | 2.09171i | 0.222023 | + | 0.0808096i | ||||
\(671\) | −2.36960 | − | 1.98833i | −0.0914775 | − | 0.0767588i | ||||
\(672\) | −1.21767 | + | 2.10906i | −0.0469726 | + | 0.0813589i | ||||
\(673\) | −10.0342 | − | 17.3797i | −0.386789 | − | 0.669938i | 0.605227 | − | 0.796053i | \(-0.293082\pi\) |
−0.992016 | + | 0.126115i | \(0.959749\pi\) | |||||||
\(674\) | −2.65833 | + | 15.0761i | −0.102395 | + | 0.580711i | ||||
\(675\) | 0.173648 | − | 0.984808i | 0.00668372 | − | 0.0379053i | ||||
\(676\) | −5.93699 | − | 10.2832i | −0.228346 | − | 0.395507i | ||||
\(677\) | −9.36450 | + | 16.2198i | −0.359907 | + | 0.623377i | −0.987945 | − | 0.154806i | \(-0.950525\pi\) |
0.628038 | + | 0.778183i | \(0.283858\pi\) | |||||||
\(678\) | 8.94755 | + | 7.50788i | 0.343629 | + | 0.288339i | ||||
\(679\) | 18.3946 | + | 6.69509i | 0.705921 | + | 0.256934i | ||||
\(680\) | −4.21818 | + | 1.53529i | −0.161760 | + | 0.0588758i | ||||
\(681\) | 16.6709 | − | 13.9886i | 0.638831 | − | 0.536043i | ||||
\(682\) | −1.65756 | − | 9.40047i | −0.0634712 | − | 0.359963i | ||||
\(683\) | 16.1169 | 0.616697 | 0.308349 | − | 0.951273i | \(-0.400224\pi\) | ||||
0.308349 | + | 0.951273i | \(0.400224\pi\) | |||||||
\(684\) | −4.10851 | − | 1.45607i | −0.157093 | − | 0.0556741i | ||||
\(685\) | −19.9946 | −0.763956 | ||||||||
\(686\) | −3.41237 | − | 19.3525i | −0.130285 | − | 0.738883i | ||||
\(687\) | 13.2992 | − | 11.1593i | 0.507394 | − | 0.425754i | ||||
\(688\) | 2.11766 | − | 0.770766i | 0.0807351 | − | 0.0293852i | ||||
\(689\) | 6.56494 | + | 2.38944i | 0.250104 | + | 0.0910306i | ||||
\(690\) | −1.32156 | − | 1.10892i | −0.0503108 | − | 0.0422158i | ||||
\(691\) | −1.41729 | + | 2.45482i | −0.0539163 | + | 0.0933859i | −0.891724 | − | 0.452580i | \(-0.850504\pi\) |
0.837808 | + | 0.545966i | \(0.183837\pi\) | |||||||
\(692\) | 5.62701 | + | 9.74627i | 0.213907 | + | 0.370498i | ||||
\(693\) | −0.832008 | + | 4.71855i | −0.0316054 | + | 0.179243i | ||||
\(694\) | −0.564642 | + | 3.20224i | −0.0214335 | + | 0.121555i | ||||
\(695\) | −9.98471 | − | 17.2940i | −0.378742 | − | 0.656000i | ||||
\(696\) | −0.277976 | + | 0.481468i | −0.0105366 | + | 0.0182500i | ||||
\(697\) | 13.4556 | + | 11.2906i | 0.509666 | + | 0.427660i | ||||
\(698\) | −32.8895 | − | 11.9708i | −1.24488 | − | 0.453101i | ||||
\(699\) | 27.1397 | − | 9.87805i | 1.02652 | − | 0.373622i | ||||
\(700\) | 1.86558 | − | 1.56540i | 0.0705122 | − | 0.0591667i | ||||
\(701\) | 0.952663 | + | 5.40282i | 0.0359816 | + | 0.204062i | 0.997499 | − | 0.0706829i | \(-0.0225178\pi\) |
−0.961517 | + | 0.274744i | \(0.911407\pi\) | |||||||
\(702\) | 4.98738 | 0.188237 | ||||||||
\(703\) | 3.50968 | − | 6.19969i | 0.132370 | − | 0.233826i | ||||
\(704\) | −1.96743 | −0.0741501 | ||||||||
\(705\) | 1.19477 | + | 6.77588i | 0.0449977 | + | 0.255195i | ||||
\(706\) | −11.3844 | + | 9.55264i | −0.428457 | + | 0.359518i | ||||
\(707\) | 30.1455 | − | 10.9721i | 1.13374 | − | 0.412647i | ||||
\(708\) | 8.74112 | + | 3.18151i | 0.328511 | + | 0.119568i | ||||
\(709\) | −32.6185 | − | 27.3701i | −1.22501 | − | 1.02791i | −0.998547 | − | 0.0538880i | \(-0.982839\pi\) |
−0.226465 | − | 0.974019i | \(-0.572717\pi\) | |||||||
\(710\) | −2.15400 | + | 3.73085i | −0.0808383 | + | 0.140016i | ||||
\(711\) | 4.32921 | + | 7.49840i | 0.162358 | + | 0.281212i | ||||
\(712\) | −0.390638 | + | 2.21542i | −0.0146398 | + | 0.0830264i | ||||
\(713\) | −1.45346 | + | 8.24296i | −0.0544323 | + | 0.308701i | ||||
\(714\) | −5.46599 | − | 9.46737i | −0.204559 | − | 0.354307i | ||||
\(715\) | 4.90615 | − | 8.49771i | 0.183480 | − | 0.317796i | ||||
\(716\) | 13.0015 | + | 10.9096i | 0.485890 | + | 0.407710i | ||||
\(717\) | 1.09859 | + | 0.399855i | 0.0410277 | + | 0.0149329i | ||||
\(718\) | −10.4611 | + | 3.80753i | −0.390405 | + | 0.142096i | ||||
\(719\) | −30.6693 | + | 25.7346i | −1.14377 | + | 0.959739i | −0.999556 | − | 0.0298074i | \(-0.990511\pi\) |
−0.144216 | + | 0.989546i | \(0.546066\pi\) | |||||||
\(720\) | 0.173648 | + | 0.984808i | 0.00647149 | + | 0.0367016i | ||||
\(721\) | 18.1937 | 0.677567 | ||||||||
\(722\) | 14.3458 | − | 12.4579i | 0.533894 | − | 0.463634i | ||||
\(723\) | 2.59364 | 0.0964584 | ||||||||
\(724\) | −1.14845 | − | 6.51319i | −0.0426818 | − | 0.242061i | ||||
\(725\) | 0.425884 | − | 0.357359i | 0.0158169 | − | 0.0132720i | ||||
\(726\) | 6.69929 | − | 2.43834i | 0.248634 | − | 0.0904954i | ||||
\(727\) | −9.07012 | − | 3.30126i | −0.336392 | − | 0.122437i | 0.168301 | − | 0.985736i | \(-0.446172\pi\) |
−0.504693 | + | 0.863299i | \(0.668394\pi\) | |||||||
\(728\) | 9.30434 | + | 7.80727i | 0.344842 | + | 0.289357i | ||||
\(729\) | −0.500000 | + | 0.866025i | −0.0185185 | + | 0.0320750i | ||||
\(730\) | −1.59901 | − | 2.76956i | −0.0591819 | − | 0.102506i | ||||
\(731\) | −1.75663 | + | 9.96235i | −0.0649714 | + | 0.368471i | ||||
\(732\) | 0.273019 | − | 1.54837i | 0.0100911 | − | 0.0572294i | ||||
\(733\) | 23.5805 | + | 40.8426i | 0.870964 | + | 1.50855i | 0.861001 | + | 0.508604i | \(0.169838\pi\) |
0.00996370 | + | 0.999950i | \(0.496828\pi\) | |||||||
\(734\) | −9.05497 | + | 15.6837i | −0.334225 | + | 0.578895i | ||||
\(735\) | −0.819004 | − | 0.687226i | −0.0302094 | − | 0.0253487i | ||||
\(736\) | 1.62113 | + | 0.590043i | 0.0597556 | + | 0.0217493i | ||||
\(737\) | −11.3066 | + | 4.11528i | −0.416485 | + | 0.151588i | ||||
\(738\) | 2.99752 | − | 2.51522i | 0.110340 | − | 0.0925865i | ||||
\(739\) | 0.239257 | + | 1.35690i | 0.00880122 | + | 0.0499142i | 0.988892 | − | 0.148635i | \(-0.0474880\pi\) |
−0.980091 | + | 0.198550i | \(0.936377\pi\) | |||||||
\(740\) | −1.63440 | −0.0600818 | ||||||||
\(741\) | −10.7098 | + | 18.9184i | −0.393435 | + | 0.694985i | ||||
\(742\) | −3.41139 | −0.125236 | ||||||||
\(743\) | −3.14802 | − | 17.8533i | −0.115490 | − | 0.654974i | −0.986507 | − | 0.163721i | \(-0.947650\pi\) |
0.871017 | − | 0.491253i | \(-0.163461\pi\) | |||||||
\(744\) | 3.71667 | − | 3.11866i | 0.136260 | − | 0.114335i | ||||
\(745\) | 1.20694 | − | 0.439290i | 0.0442189 | − | 0.0160944i | ||||
\(746\) | 33.0034 | + | 12.0122i | 1.20834 | + | 0.439799i | ||||
\(747\) | −11.0217 | − | 9.24833i | −0.403264 | − | 0.338379i | ||||
\(748\) | 4.41578 | − | 7.64836i | 0.161457 | − | 0.279652i | ||||
\(749\) | −7.44728 | − | 12.8991i | −0.272118 | − | 0.471322i | ||||
\(750\) | 0.173648 | − | 0.984808i | 0.00634073 | − | 0.0359601i | ||||
\(751\) | −3.62351 | + | 20.5499i | −0.132224 | + | 0.749878i | 0.844529 | + | 0.535510i | \(0.179880\pi\) |
−0.976753 | + | 0.214368i | \(0.931231\pi\) | |||||||
\(752\) | −3.44021 | − | 5.95861i | −0.125451 | − | 0.217288i | ||||
\(753\) | −1.60843 | + | 2.78589i | −0.0586146 | + | 0.101523i | ||||
\(754\) | 2.12405 | + | 1.78229i | 0.0773532 | + | 0.0649070i | ||||
\(755\) | 1.23753 | + | 0.450424i | 0.0450383 | + | 0.0163926i | ||||
\(756\) | −2.28847 | + | 0.832934i | −0.0832308 | + | 0.0302935i | ||||
\(757\) | 18.0629 | − | 15.1566i | 0.656507 | − | 0.550875i | −0.252531 | − | 0.967589i | \(-0.581263\pi\) |
0.909037 | + | 0.416714i | \(0.136818\pi\) | |||||||
\(758\) | 6.25438 | + | 35.4704i | 0.227169 | + | 1.28834i | ||||
\(759\) | 3.39414 | 0.123200 | ||||||||
\(760\) | −4.10851 | − | 1.45607i | −0.149031 | − | 0.0528171i | ||||
\(761\) | 4.33824 | 0.157261 | 0.0786306 | − | 0.996904i | \(-0.474945\pi\) | ||||
0.0786306 | + | 0.996904i | \(0.474945\pi\) | |||||||
\(762\) | 2.80747 | + | 15.9220i | 0.101704 | + | 0.576792i | ||||
\(763\) | −9.58088 | + | 8.03932i | −0.346851 | + | 0.291043i | ||||
\(764\) | 25.0915 | − | 9.13258i | 0.907780 | − | 0.330405i | ||||
\(765\) | −4.21818 | − | 1.53529i | −0.152509 | − | 0.0555086i | ||||
\(766\) | −4.31150 | − | 3.61778i | −0.155781 | − | 0.130716i | ||||
\(767\) | 23.1966 | − | 40.1777i | 0.837580 | − | 1.45073i | ||||
\(768\) | −0.500000 | − | 0.866025i | −0.0180422 | − | 0.0312500i | ||||
\(769\) | −8.06098 | + | 45.7161i | −0.290686 | + | 1.64856i | 0.393550 | + | 0.919303i | \(0.371247\pi\) |
−0.684236 | + | 0.729260i | \(0.739864\pi\) | |||||||
\(770\) | −0.832008 | + | 4.71855i | −0.0299835 | + | 0.170045i | ||||
\(771\) | 15.2498 | + | 26.4135i | 0.549210 | + | 0.951259i | ||||
\(772\) | −12.1316 | + | 21.0125i | −0.436625 | + | 0.756257i | ||||
\(773\) | 3.28608 | + | 2.75735i | 0.118192 | + | 0.0991749i | 0.699968 | − | 0.714174i | \(-0.253198\pi\) |
−0.581776 | + | 0.813349i | \(0.697642\pi\) | |||||||
\(774\) | 2.11766 | + | 0.770766i | 0.0761178 | + | 0.0277046i | ||||
\(775\) | −4.55917 | + | 1.65940i | −0.163770 | + | 0.0596075i | ||||
\(776\) | −6.15743 | + | 5.16670i | −0.221039 | + | 0.185474i | ||||
\(777\) | −0.691175 | − | 3.91985i | −0.0247958 | − | 0.140624i | ||||
\(778\) | −2.39139 | −0.0857355 | ||||||||
\(779\) | 3.10403 | + | 16.7715i | 0.111213 | + | 0.600901i | ||||
\(780\) | 4.98738 | 0.178577 | ||||||||
\(781\) | −1.47179 | − | 8.34692i | −0.0526647 | − | 0.298676i | ||||
\(782\) | −5.93233 | + | 4.97781i | −0.212140 | + | 0.178006i | ||||
\(783\) | −0.522424 | + | 0.190147i | −0.0186699 | + | 0.00679529i | ||||
\(784\) | 1.00466 | + | 0.365665i | 0.0358806 | + | 0.0130595i | ||||
\(785\) | −7.15987 | − | 6.00785i | −0.255547 | − | 0.214429i | ||||
\(786\) | −8.21722 | + | 14.2326i | −0.293098 | + | 0.507661i | ||||
\(787\) | −6.46783 | − | 11.2026i | −0.230553 | − | 0.399330i | 0.727418 | − | 0.686195i | \(-0.240720\pi\) |
−0.957971 | + | 0.286865i | \(0.907387\pi\) | |||||||
\(788\) | −2.24227 | + | 12.7165i | −0.0798776 | + | 0.453008i | ||||
\(789\) | −2.80522 | + | 15.9092i | −0.0998684 | + | 0.566382i | ||||
\(790\) | 4.32921 | + | 7.49840i | 0.154026 | + | 0.266781i | ||||
\(791\) | −14.2226 | + | 24.6343i | −0.505698 | + | 0.875894i | ||||
\(792\) | −1.50714 | − | 1.26464i | −0.0535537 | − | 0.0449369i | ||||
\(793\) | −7.36855 | − | 2.68193i | −0.261665 | − | 0.0952382i | ||||
\(794\) | 18.3400 | − | 6.67522i | 0.650862 | − | 0.236895i | ||||
\(795\) | −1.07307 | + | 0.900409i | −0.0380577 | + | 0.0319342i | ||||
\(796\) | −3.56727 | − | 20.2310i | −0.126438 | − | 0.717068i | ||||
\(797\) | −27.8140 | −0.985222 | −0.492611 | − | 0.870250i | \(-0.663957\pi\) | ||||
−0.492611 | + | 0.870250i | \(0.663957\pi\) | |||||||
\(798\) | 1.75469 | − | 10.4694i | 0.0621153 | − | 0.370611i | ||||
\(799\) | 30.8855 | 1.09265 | ||||||||
\(800\) | 0.173648 | + | 0.984808i | 0.00613939 | + | 0.0348182i | ||||
\(801\) | −1.72329 | + | 1.44601i | −0.0608895 | + | 0.0510924i | ||||
\(802\) | 23.5393 | − | 8.56762i | 0.831203 | − | 0.302533i | ||||
\(803\) | 5.91241 | + | 2.15194i | 0.208644 | + | 0.0759403i | ||||
\(804\) | −4.68493 | − | 3.93112i | −0.165225 | − | 0.138640i | ||||
\(805\) | 2.10068 | − | 3.63849i | 0.0740394 | − | 0.128240i | ||||
\(806\) | −12.0988 | − | 20.9558i | −0.426162 | − | 0.738135i | ||||
\(807\) | −1.02424 | + | 5.80877i | −0.0360550 | + | 0.204478i | ||||
\(808\) | −2.28743 | + | 12.9727i | −0.0804715 | + | 0.456376i | ||||
\(809\) | −19.1798 | − | 33.2204i | −0.674325 | − | 1.16797i | −0.976666 | − | 0.214766i | \(-0.931101\pi\) |
0.302340 | − | 0.953200i | \(-0.402232\pi\) | |||||||
\(810\) | −0.500000 | + | 0.866025i | −0.0175682 | + | 0.0304290i | ||||
\(811\) | 5.75867 | + | 4.83210i | 0.202214 | + | 0.169678i | 0.738271 | − | 0.674504i | \(-0.235642\pi\) |
−0.536057 | + | 0.844182i | \(0.680087\pi\) | |||||||
\(812\) | −1.27228 | − | 0.463071i | −0.0446482 | − | 0.0162506i | ||||
\(813\) | −22.3790 | + | 8.14530i | −0.784867 | + | 0.285668i | ||||
\(814\) | 2.46326 | − | 2.06692i | 0.0863373 | − | 0.0724456i | ||||
\(815\) | 3.95792 | + | 22.4465i | 0.138640 | + | 0.786267i | ||||
\(816\) | 4.48890 | 0.157143 | ||||||||
\(817\) | −7.47114 | + | 6.37770i | −0.261382 | + | 0.223127i | ||||
\(818\) | 19.5011 | 0.681841 | ||||||||
\(819\) | 2.10912 | + | 11.9614i | 0.0736987 | + | 0.417966i | ||||
\(820\) | 2.99752 | − | 2.51522i | 0.104678 | − | 0.0878353i | ||||
\(821\) | −19.4279 | + | 7.07118i | −0.678039 | + | 0.246786i | −0.658005 | − | 0.753013i | \(-0.728600\pi\) |
−0.0200337 | + | 0.999799i | \(0.506377\pi\) | |||||||
\(822\) | 18.7888 | + | 6.83857i | 0.655335 | + | 0.238523i | ||||
\(823\) | −8.53515 | − | 7.16184i | −0.297517 | − | 0.249646i | 0.481793 | − | 0.876285i | \(-0.339986\pi\) |
−0.779310 | + | 0.626639i | \(0.784430\pi\) | |||||||
\(824\) | −3.73535 | + | 6.46981i | −0.130127 | + | 0.225387i | ||||
\(825\) | 0.983713 | + | 1.70384i | 0.0342485 | + | 0.0593201i | ||||
\(826\) | −3.93378 | + | 22.3096i | −0.136874 | + | 0.776250i | ||||
\(827\) | 4.56400 | − | 25.8837i | 0.158706 | − | 0.900065i | −0.796613 | − | 0.604489i | \(-0.793377\pi\) |
0.955319 | − | 0.295576i | \(-0.0955116\pi\) | |||||||
\(828\) | 0.862584 | + | 1.49404i | 0.0299769 | + | 0.0519215i | ||||
\(829\) | 4.09413 | − | 7.09124i | 0.142195 | − | 0.246289i | −0.786128 | − | 0.618064i | \(-0.787917\pi\) |
0.928323 | + | 0.371775i | \(0.121251\pi\) | |||||||
\(830\) | −11.0217 | − | 9.24833i | −0.382570 | − | 0.321014i | ||||
\(831\) | −12.3304 | − | 4.48790i | −0.427737 | − | 0.155684i | ||||
\(832\) | −4.68661 | + | 1.70579i | −0.162479 | + | 0.0591375i | ||||
\(833\) | −3.67642 | + | 3.08489i | −0.127381 | + | 0.106885i | ||||
\(834\) | 3.46765 | + | 19.6660i | 0.120075 | + | 0.680979i | ||||
\(835\) | 1.54107 | 0.0533309 | ||||||||
\(836\) | 8.03348 | − | 3.00128i | 0.277844 | − | 0.103802i | ||||
\(837\) | 4.85177 | 0.167702 | ||||||||
\(838\) | 2.59300 | + | 14.7056i | 0.0895736 | + | 0.507997i | ||||
\(839\) | 30.0051 | − | 25.1773i | 1.03589 | − | 0.869216i | 0.0443508 | − | 0.999016i | \(-0.485878\pi\) |
0.991540 | + | 0.129800i | \(0.0414336\pi\) | |||||||
\(840\) | −2.28847 | + | 0.832934i | −0.0789597 | + | 0.0287390i | ||||
\(841\) | 26.9606 | + | 9.81287i | 0.929677 | + | 0.338375i | ||||
\(842\) | 24.9795 | + | 20.9603i | 0.860852 | + | 0.722340i | ||||
\(843\) | −3.08458 | + | 5.34264i | −0.106238 | + | 0.184010i | ||||
\(844\) | 4.64163 | + | 8.03954i | 0.159772 | + | 0.276733i | ||||
\(845\) | 2.06190 | − | 11.6936i | 0.0709314 | − | 0.402272i | ||||
\(846\) | 1.19477 | − | 6.77588i | 0.0410771 | − | 0.232960i | ||||
\(847\) | 8.68105 | + | 15.0360i | 0.298284 | + | 0.516643i | ||||
\(848\) | 0.700394 | − | 1.21312i | 0.0240516 | − | 0.0416586i | ||||
\(849\) | −9.99218 | − | 8.38444i | −0.342931 | − | 0.287753i | ||||
\(850\) | −4.21818 | − | 1.53529i | −0.144682 | − | 0.0526601i | ||||
\(851\) | −2.64957 | + | 0.964366i | −0.0908262 | + | 0.0330580i | ||||
\(852\) | 3.30013 | − | 2.76913i | 0.113060 | − | 0.0948690i | ||||
\(853\) | −3.73907 | − | 21.2053i | −0.128023 | − | 0.726055i | −0.979466 | − | 0.201608i | \(-0.935383\pi\) |
0.851443 | − | 0.524447i | \(-0.175728\pi\) | |||||||
\(854\) | 3.82897 | 0.131025 | ||||||||
\(855\) | −2.21136 | − | 3.75631i | −0.0756269 | − | 0.128463i | ||||
\(856\) | 6.11602 | 0.209041 | ||||||||
\(857\) | 5.09369 | + | 28.8877i | 0.173997 | + | 0.986786i | 0.939295 | + | 0.343110i | \(0.111480\pi\) |
−0.765298 | + | 0.643676i | \(0.777408\pi\) | |||||||
\(858\) | −7.51666 | + | 6.30723i | −0.256615 | + | 0.215325i | ||||
\(859\) | 42.9771 | − | 15.6424i | 1.46636 | − | 0.533711i | 0.519250 | − | 0.854622i | \(-0.326211\pi\) |
0.947109 | + | 0.320911i | \(0.103989\pi\) | |||||||
\(860\) | 2.11766 | + | 0.770766i | 0.0722117 | + | 0.0262829i | ||||
\(861\) | 7.29998 | + | 6.12541i | 0.248783 | + | 0.208753i | ||||
\(862\) | −2.20433 | + | 3.81800i | −0.0750796 | + | 0.130042i | ||||
\(863\) | −13.8308 | − | 23.9557i | −0.470806 | − | 0.815461i | 0.528636 | − | 0.848849i | \(-0.322704\pi\) |
−0.999442 | + | 0.0333879i | \(0.989370\pi\) | |||||||
\(864\) | 0.173648 | − | 0.984808i | 0.00590763 | − | 0.0335038i | ||||
\(865\) | −1.95424 | + | 11.0830i | −0.0664462 | + | 0.376835i | ||||
\(866\) | −5.88847 | − | 10.1991i | −0.200098 | − | 0.346580i | ||||
\(867\) | −1.57509 | + | 2.72814i | −0.0534929 | + | 0.0926525i | ||||
\(868\) | 9.05134 | + | 7.59498i | 0.307223 | + | 0.257790i | ||||
\(869\) | −16.0075 | − | 5.82624i | −0.543016 | − | 0.197642i | ||||
\(870\) | −0.522424 | + | 0.190147i | −0.0177118 | + | 0.00644658i | ||||
\(871\) | −23.3655 | + | 19.6060i | −0.791711 | + | 0.664324i | ||||
\(872\) | −0.891790 | − | 5.05759i | −0.0301998 | − | 0.171272i | ||||
\(873\) | −8.03796 | −0.272044 | ||||||||
\(874\) | −7.51957 | + | 0.0637233i | −0.254353 | + | 0.00215547i | ||||
\(875\) | 2.43534 | 0.0823294 | ||||||||
\(876\) | 0.555329 | + | 3.14943i | 0.0187628 | + | 0.106409i | ||||
\(877\) | 20.5610 | − | 17.2527i | 0.694296 | − | 0.582583i | −0.225849 | − | 0.974162i | \(-0.572516\pi\) |
0.920144 | + | 0.391579i | \(0.128071\pi\) | |||||||
\(878\) | 0.541869 | − | 0.197224i | 0.0182872 | − | 0.00665600i | ||||
\(879\) | −18.3441 | − | 6.67672i | −0.618732 | − | 0.225200i | ||||
\(880\) | −1.50714 | − | 1.26464i | −0.0508055 | − | 0.0426309i | ||||
\(881\) | 6.76783 | − | 11.7222i | 0.228014 | − | 0.394932i | −0.729205 | − | 0.684295i | \(-0.760110\pi\) |
0.957219 | + | 0.289363i | \(0.0934434\pi\) | |||||||
\(882\) | 0.534567 | + | 0.925897i | 0.0179998 | + | 0.0311766i | ||||
\(883\) | −9.61193 | + | 54.5120i | −0.323467 | + | 1.83447i | 0.196767 | + | 0.980450i | \(0.436956\pi\) |
−0.520234 | + | 0.854024i | \(0.674155\pi\) | |||||||
\(884\) | 3.88761 | − | 22.0477i | 0.130754 | − | 0.741545i | ||||
\(885\) | 4.65105 | + | 8.05586i | 0.156343 | + | 0.270795i | ||||
\(886\) | −0.532313 | + | 0.921993i | −0.0178834 | + | 0.0309750i | ||||
\(887\) | 2.20389 | + | 1.84928i | 0.0739994 | + | 0.0620929i | 0.679037 | − | 0.734104i | \(-0.262398\pi\) |
−0.605038 | + | 0.796197i | \(0.706842\pi\) | |||||||
\(888\) | 1.53583 | + | 0.558998i | 0.0515392 | + | 0.0187587i | ||||
\(889\) | −36.9990 | + | 13.4665i | −1.24091 | + | 0.451653i | ||||
\(890\) | −1.72329 | + | 1.44601i | −0.0577649 | + | 0.0484705i | ||||
\(891\) | −0.341640 | − | 1.93754i | −0.0114454 | − | 0.0649099i | ||||
\(892\) | 5.96073 | 0.199580 | ||||||||
\(893\) | 23.1370 | + | 19.0825i | 0.774250 | + | 0.638571i | ||||
\(894\) | −1.28440 | −0.0429567 | ||||||||
\(895\) | 2.94721 | + | 16.7144i | 0.0985143 | + | 0.558702i | ||||
\(896\) | 1.86558 | − | 1.56540i | 0.0623245 | − | 0.0522965i | ||||
\(897\) | 8.08519 | − | 2.94277i | 0.269957 | − | 0.0982562i | ||||
\(898\) | 6.59082 | + | 2.39886i | 0.219939 | + | 0.0800511i | ||||
\(899\) | 2.06629 | + | 1.73382i | 0.0689146 | + | 0.0578262i | ||||
\(900\) | −0.500000 | + | 0.866025i | −0.0166667 | + | 0.0288675i | ||||
\(901\) | 3.14400 | + | 5.44556i | 0.104742 | + | 0.181418i | ||||
\(902\) | −1.33683 | + | 7.58155i | −0.0445117 | + | 0.252438i | ||||
\(903\) | −0.953016 | + | 5.40482i | −0.0317144 | + | 0.179861i | ||||
\(904\) | −5.84010 | − | 10.1153i | −0.194239 | − | 0.336431i | ||||
\(905\) | 3.30683 | − | 5.72760i | 0.109923 | − | 0.190392i | ||||
\(906\) | −1.00884 | − | 0.846520i | −0.0335166 | − | 0.0281237i | ||||
\(907\) | −6.57926 | − | 2.39466i | −0.218461 | − | 0.0795132i | 0.230471 | − | 0.973079i | \(-0.425973\pi\) |
−0.448932 | + | 0.893566i | \(0.648195\pi\) | |||||||
\(908\) | −20.4499 | + | 7.44316i | −0.678655 | + | 0.247010i | ||||
\(909\) | −10.0909 | + | 8.46730i | −0.334695 | + | 0.280843i | ||||
\(910\) | 2.10912 | + | 11.9614i | 0.0699168 | + | 0.396518i | ||||
\(911\) | −1.92528 | −0.0637872 | −0.0318936 | − | 0.999491i | \(-0.510154\pi\) | ||||
−0.0318936 | + | 0.999491i | \(0.510154\pi\) | |||||||
\(912\) | 3.36273 | + | 2.77345i | 0.111351 | + | 0.0918381i | ||||
\(913\) | 28.3070 | 0.936825 | ||||||||
\(914\) | −0.465567 | − | 2.64036i | −0.0153996 | − | 0.0873354i | ||||
\(915\) | 1.20442 | − | 1.01063i | 0.0398168 | − | 0.0334103i | ||||
\(916\) | −16.3138 | + | 5.93775i | −0.539024 | + | 0.196189i | ||||
\(917\) | −37.6097 | − | 13.6888i | −1.24198 | − | 0.452044i | ||||
\(918\) | 3.43869 | + | 2.88541i | 0.113494 | + | 0.0952326i | ||||
\(919\) | −1.61555 | + | 2.79821i | −0.0532920 | + | 0.0923045i | −0.891441 | − | 0.453137i | \(-0.850305\pi\) |
0.838149 | + | 0.545442i | \(0.183638\pi\) | |||||||
\(920\) | 0.862584 | + | 1.49404i | 0.0284386 | + | 0.0492570i | ||||
\(921\) | −4.13400 | + | 23.4451i | −0.136220 | + | 0.772542i | ||||
\(922\) | −3.97077 | + | 22.5193i | −0.130770 | + | 0.741635i | ||||
\(923\) | −10.7428 | − | 18.6072i | −0.353605 | − | 0.612462i | ||||
\(924\) | 2.39567 | − | 4.14943i | 0.0788118 | − | 0.136506i | ||||
\(925\) | −1.25202 | − | 1.05057i | −0.0411663 | − | 0.0345426i | ||||
\(926\) | −26.9652 | − | 9.81454i | −0.886133 | − | 0.322526i | ||||
\(927\) | −7.02016 | + | 2.55513i | −0.230572 | + | 0.0839214i | ||||
\(928\) | 0.425884 | − | 0.357359i | 0.0139803 | − | 0.0117309i | ||||
\(929\) | −5.09091 | − | 28.8720i | −0.167027 | − | 0.947259i | −0.946949 | − | 0.321383i | \(-0.895852\pi\) |
0.779922 | − | 0.625877i | \(-0.215259\pi\) | |||||||
\(930\) | 4.85177 | 0.159096 | ||||||||
\(931\) | −4.66008 | + | 0.0394910i | −0.152728 | + | 0.00129427i | ||||
\(932\) | −28.8815 | −0.946045 | ||||||||
\(933\) | 2.12771 | + | 12.0669i | 0.0696582 | + | 0.395051i | ||||
\(934\) | 12.4875 | − | 10.4783i | 0.408604 | − | 0.342860i | ||||
\(935\) | 8.29896 | − | 3.02057i | 0.271405 | − | 0.0987834i | ||||
\(936\) | −4.68661 | − | 1.70579i | −0.153187 | − | 0.0557553i | ||||
\(937\) | 37.9595 | + | 31.8518i | 1.24008 | + | 1.04055i | 0.997518 | + | 0.0704167i | \(0.0224329\pi\) |
0.242564 | + | 0.970135i | \(0.422012\pi\) | |||||||
\(938\) | 7.44694 | − | 12.8985i | 0.243151 | − | 0.421150i | ||||
\(939\) | 13.1967 | + | 22.8574i | 0.430659 | + | 0.745923i | ||||
\(940\) | 1.19477 | − | 6.77588i | 0.0389691 | − | 0.221005i | ||||
\(941\) | −5.37952 | + | 30.5088i | −0.175367 | + | 0.994558i | 0.762352 | + | 0.647163i | \(0.224045\pi\) |
−0.937719 | + | 0.347395i | \(0.887066\pi\) | |||||||
\(942\) | 4.67328 | + | 8.09435i | 0.152264 | + | 0.263728i | ||||
\(943\) | 3.37528 | − | 5.84616i | 0.109914 | − | 0.190377i | ||||
\(944\) | −7.12583 | − | 5.97928i | −0.231926 | − | 0.194609i | ||||
\(945\) | −2.28847 | − | 0.832934i | −0.0744439 | − | 0.0270954i | ||||
\(946\) | −4.16634 | + | 1.51643i | −0.135460 | + | 0.0493032i | ||||
\(947\) | −30.6731 | + | 25.7378i | −0.996742 | + | 0.836366i | −0.986530 | − | 0.163582i | \(-0.947695\pi\) |
−0.0102121 | + | 0.999948i | \(0.503251\pi\) | |||||||
\(948\) | −1.50352 | − | 8.52687i | −0.0488320 | − | 0.276940i | ||||
\(949\) | 15.9497 | 0.517750 | ||||||||
\(950\) | −2.21136 | − | 3.75631i | −0.0717460 | − | 0.121871i | ||||
\(951\) | 15.8764 | 0.514826 | ||||||||
\(952\) | 1.89832 | + | 10.7659i | 0.0615248 | + | 0.348925i | ||||
\(953\) | −24.6650 | + | 20.6964i | −0.798978 | + | 0.670422i | −0.947950 | − | 0.318419i | \(-0.896848\pi\) |
0.148972 | + | 0.988841i | \(0.452404\pi\) | |||||||
\(954\) | 1.31631 | − | 0.479098i | 0.0426171 | − | 0.0155114i | ||||
\(955\) | 25.0915 | + | 9.13258i | 0.811943 | + | 0.295523i | ||||
\(956\) | −0.895581 | − | 0.751482i | −0.0289652 | − | 0.0243047i | ||||
\(957\) | 0.546897 | − | 0.947253i | 0.0176787 | − | 0.0306203i | ||||
\(958\) | 18.9967 | + | 32.9033i | 0.613756 | + | 1.06306i | ||||
\(959\) | −8.45557 | + | 47.9539i | −0.273045 | + | 1.54851i | ||||
\(960\) | 0.173648 | − | 0.984808i | 0.00560447 | − | 0.0317845i | ||||
\(961\) | 3.73018 | + | 6.46086i | 0.120328 | + | 0.208415i | ||||
\(962\) | 4.07569 | − | 7.05930i | 0.131406 | − | 0.227601i | ||||
\(963\) | 4.68514 | + | 3.93130i | 0.150977 | + | 0.126684i | ||||
\(964\) | −2.43722 | − | 0.887076i | −0.0784976 | − | 0.0285708i | ||||
\(965\) | −22.7999 | + | 8.29849i | −0.733956 | + | 0.267138i | ||||
\(966\) | −3.21843 | + | 2.70059i | −0.103551 | + | 0.0868900i | ||||
\(967\) | −1.13506 | − | 6.43722i | −0.0365009 | − | 0.207007i | 0.961103 | − | 0.276190i | \(-0.0890719\pi\) |
−0.997604 | + | 0.0691830i | \(0.977961\pi\) | |||||||
\(968\) | −7.12924 | −0.229142 | ||||||||
\(969\) | −18.3293 | + | 6.84775i | −0.588821 | + | 0.219982i | ||||
\(970\) | −8.03796 | −0.258083 | ||||||||
\(971\) | −1.52989 | − | 8.67642i | −0.0490964 | − | 0.278440i | 0.950369 | − | 0.311124i | \(-0.100705\pi\) |
−0.999466 | + | 0.0326845i | \(0.989594\pi\) | |||||||
\(972\) | 0.766044 | − | 0.642788i | 0.0245709 | − | 0.0206174i | ||||
\(973\) | −45.6994 | + | 16.6332i | −1.46505 | + | 0.533236i | ||||
\(974\) | 40.2752 | + | 14.6590i | 1.29050 | + | 0.469704i | ||||
\(975\) | 3.82056 | + | 3.20583i | 0.122356 | + | 0.102669i | ||||
\(976\) | −0.786128 | + | 1.36161i | −0.0251634 | + | 0.0435842i | ||||
\(977\) | −17.3721 | − | 30.0893i | −0.555782 | − | 0.962643i | −0.997842 | − | 0.0656573i | \(-0.979086\pi\) |
0.442060 | − | 0.896985i | \(-0.354248\pi\) | |||||||
\(978\) | 3.95792 | − | 22.4465i | 0.126560 | − | 0.717760i | ||||
\(979\) | 0.768552 | − | 4.35868i | 0.0245630 | − | 0.139304i | ||||
\(980\) | 0.534567 | + | 0.925897i | 0.0170761 | + | 0.0295767i | ||||
\(981\) | 2.56781 | − | 4.44757i | 0.0819838 | − | 0.142000i | ||||
\(982\) | 27.4119 | + | 23.0013i | 0.874749 | + | 0.734001i | ||||
\(983\) | 5.10351 | + | 1.85752i | 0.162777 | + | 0.0592458i | 0.422123 | − | 0.906538i | \(-0.361285\pi\) |
−0.259347 | + | 0.965784i | \(0.583507\pi\) | |||||||
\(984\) | −3.67700 | + | 1.33832i | −0.117219 | + | 0.0426641i | ||||
\(985\) | −9.89172 | + | 8.30013i | −0.315176 | + | 0.264464i | ||||
\(986\) | 0.433358 | + | 2.45770i | 0.0138009 | + | 0.0782690i | ||||
\(987\) | 16.7561 | 0.533353 | ||||||||
\(988\) | 16.5344 | − | 14.1145i | 0.526030 | − | 0.449042i | ||||
\(989\) | 3.88779 | 0.123624 | ||||||||
\(990\) | −0.341640 | − | 1.93754i | −0.0108580 | − | 0.0615789i | ||||
\(991\) | 0.242290 | − | 0.203305i | 0.00769658 | − | 0.00645820i | −0.638931 | − | 0.769264i | \(-0.720623\pi\) |
0.646628 | + | 0.762806i | \(0.276179\pi\) | |||||||
\(992\) | −4.55917 | + | 1.65940i | −0.144754 | + | 0.0526861i | ||||
\(993\) | −23.6792 | − | 8.61854i | −0.751438 | − | 0.273501i | ||||
\(994\) | 8.03692 | + | 6.74378i | 0.254916 | + | 0.213900i | ||||
\(995\) | 10.2715 | − | 17.7908i | 0.325629 | − | 0.564007i | ||||
\(996\) | 7.19392 | + | 12.4602i | 0.227948 | + | 0.394818i | ||||
\(997\) | 2.98316 | − | 16.9183i | 0.0944775 | − | 0.535809i | −0.900429 | − | 0.435004i | \(-0.856747\pi\) |
0.994906 | − | 0.100805i | \(-0.0321418\pi\) | |||||||
\(998\) | 5.58578 | − | 31.6785i | 0.176815 | − | 1.00277i | ||||
\(999\) | 0.817200 | + | 1.41543i | 0.0258551 | + | 0.0447823i |
(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 | 570.2.u.i.541.1 | yes | 12 | |
19.17 | even | 9 | inner | 570.2.u.i.511.1 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.u.i.511.1 | ✓ | 12 | 19.17 | even | 9 | inner | |
570.2.u.i.541.1 | yes | 12 | 1.1 | even | 1 | trivial |