Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(19,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.bk (of order \(6\), degree \(2\), 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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.15 | ||
Character | \(\chi\) | \(=\) | 504.19 |
Dual form | 504.2.bk.b.451.15 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.35459 | + | 0.406311i | 0.957839 | + | 0.287305i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.66982 | + | 1.10077i | 0.834912 | + | 0.550384i | ||||
\(5\) | −1.09169 | + | 1.89086i | −0.488217 | + | 0.845617i | −0.999908 | − | 0.0135525i | \(-0.995686\pi\) |
0.511691 | + | 0.859170i | \(0.329019\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.40064 | − | 2.24459i | 0.529393 | − | 0.848377i | ||||
\(8\) | 1.81467 | + | 2.16955i | 0.641583 | + | 0.767053i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.24706 | + | 2.11777i | −0.710584 | + | 0.669698i | ||||
\(11\) | 2.14393 | + | 3.71339i | 0.646418 | + | 1.11963i | 0.983972 | + | 0.178323i | \(0.0570672\pi\) |
−0.337554 | + | 0.941306i | \(0.609599\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.03680 | −0.564906 | −0.282453 | − | 0.959281i | \(-0.591148\pi\) | ||||
−0.282453 | + | 0.959281i | \(0.591148\pi\) | |||||||
\(14\) | 2.80930 | − | 2.47141i | 0.750816 | − | 0.660512i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.57662 | + | 3.67618i | 0.394155 | + | 0.919044i | ||||
\(17\) | 1.56503 | − | 0.903573i | 0.379577 | − | 0.219149i | −0.298057 | − | 0.954548i | \(-0.596339\pi\) |
0.677634 | + | 0.735399i | \(0.263005\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.509293 | + | 0.294040i | 0.116840 | + | 0.0674575i | 0.557281 | − | 0.830324i | \(-0.311845\pi\) |
−0.440441 | + | 0.897781i | \(0.645178\pi\) | |||||||
\(20\) | −3.90432 | + | 1.95570i | −0.873032 | + | 0.437309i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.39535 | + | 5.90122i | 0.297490 | + | 1.25814i | ||||
\(23\) | −0.146540 | − | 0.0846050i | −0.0305557 | − | 0.0176414i | 0.484644 | − | 0.874711i | \(-0.338949\pi\) |
−0.515200 | + | 0.857070i | \(0.672282\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.116439 | + | 0.201678i | 0.0232878 | + | 0.0403356i | ||||
\(26\) | −2.75903 | − | 0.827573i | −0.541089 | − | 0.162300i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.80960 | − | 2.20630i | 0.908929 | − | 0.416951i | ||||
\(29\) | 0.439341i | 0.0815836i | 0.999168 | + | 0.0407918i | \(0.0129880\pi\) | ||||
−0.999168 | + | 0.0407918i | \(0.987012\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.82167 | − | 4.88727i | −0.506786 | − | 0.877779i | −0.999969 | − | 0.00785368i | \(-0.997500\pi\) |
0.493183 | − | 0.869926i | \(-0.335833\pi\) | |||||||
\(32\) | 0.642005 | + | 5.62031i | 0.113492 | + | 0.993539i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.48711 | − | 0.588080i | 0.426536 | − | 0.100855i | ||||
\(35\) | 2.71515 | + | 5.09881i | 0.458944 | + | 0.861856i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.72782 | − | 4.46166i | −1.27045 | − | 0.733492i | −0.295373 | − | 0.955382i | \(-0.595444\pi\) |
−0.975072 | + | 0.221890i | \(0.928777\pi\) | |||||||
\(38\) | 0.570411 | + | 0.605235i | 0.0925328 | + | 0.0981820i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.08337 | + | 1.06281i | −0.961866 | + | 0.168045i | ||||
\(41\) | − | 10.6450i | − | 1.66248i | −0.555917 | − | 0.831238i | \(-0.687633\pi\) | ||
0.555917 | − | 0.831238i | \(-0.312367\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.59999 | 1.31149 | 0.655743 | − | 0.754984i | \(-0.272356\pi\) | ||||
0.655743 | + | 0.754984i | \(0.272356\pi\) | |||||||
\(44\) | −0.507600 | + | 8.56067i | −0.0765237 | + | 1.29057i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.164126 | − | 0.174146i | −0.0241990 | − | 0.0256764i | ||||
\(47\) | −5.47872 | + | 9.48943i | −0.799154 | + | 1.38418i | 0.121014 | + | 0.992651i | \(0.461386\pi\) |
−0.920168 | + | 0.391525i | \(0.871948\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.07641 | − | 6.28774i | −0.439487 | − | 0.898249i | ||||
\(50\) | 0.0757829 | + | 0.320501i | 0.0107173 | + | 0.0453257i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.40109 | − | 2.24204i | −0.471647 | − | 0.310915i | ||||
\(53\) | 4.53358 | − | 2.61746i | 0.622735 | − | 0.359536i | −0.155198 | − | 0.987883i | \(-0.549602\pi\) |
0.777933 | + | 0.628347i | \(0.216268\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −9.36199 | −1.26237 | ||||||||
\(56\) | 7.41147 | − | 1.03443i | 0.990400 | − | 0.138232i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.178509 | + | 0.595127i | −0.0234394 | + | 0.0781440i | ||||
\(59\) | −0.730458 | + | 0.421730i | −0.0950976 | + | 0.0549046i | −0.546795 | − | 0.837267i | \(-0.684152\pi\) |
0.451697 | + | 0.892171i | \(0.350819\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.22231 | − | 7.31325i | 0.540611 | − | 0.936366i | −0.458258 | − | 0.888819i | \(-0.651526\pi\) |
0.998869 | − | 0.0475464i | \(-0.0151402\pi\) | |||||||
\(62\) | −1.83645 | − | 7.76671i | −0.233229 | − | 0.986373i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.41394 | + | 7.87406i | −0.176742 | + | 0.984257i | ||||
\(65\) | 2.22355 | − | 3.85130i | 0.275797 | − | 0.477694i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.87640 | − | 11.9103i | −0.840086 | − | 1.45507i | −0.889821 | − | 0.456310i | \(-0.849171\pi\) |
0.0497346 | − | 0.998762i | \(-0.484162\pi\) | |||||||
\(68\) | 3.60796 | + | 0.213932i | 0.437529 | + | 0.0259430i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.60621 | + | 8.00998i | 0.191979 | + | 0.957376i | ||||
\(71\) | − | 9.72611i | − | 1.15428i | −0.816646 | − | 0.577139i | \(-0.804169\pi\) | ||
0.816646 | − | 0.577139i | \(-0.195831\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 11.0785 | − | 6.39620i | 1.29665 | − | 0.748619i | 0.316822 | − | 0.948485i | \(-0.397384\pi\) |
0.979823 | + | 0.199866i | \(0.0640508\pi\) | |||||||
\(74\) | −8.65520 | − | 9.18361i | −1.00615 | − | 1.06757i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.526759 | + | 1.05161i | 0.0604234 | + | 0.120628i | ||||
\(77\) | 11.3379 | + | 0.388881i | 1.29208 | + | 0.0443171i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.784867 | + | 0.453143i | 0.0883044 | + | 0.0509826i | 0.543502 | − | 0.839408i | \(-0.317098\pi\) |
−0.455198 | + | 0.890390i | \(0.650431\pi\) | |||||||
\(80\) | −8.67230 | − | 1.03207i | −0.969593 | − | 0.115389i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.32519 | − | 14.4197i | 0.477637 | − | 1.59238i | ||||
\(83\) | 11.4885i | 1.26103i | 0.776178 | + | 0.630513i | \(0.217156\pi\) | ||||
−0.776178 | + | 0.630513i | \(0.782844\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.94568i | 0.427969i | ||||||||
\(86\) | 11.6495 | + | 3.49427i | 1.25619 | + | 0.376796i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.16588 | + | 11.3900i | −0.444084 | + | 1.21417i | ||||
\(89\) | −14.5327 | − | 8.39047i | −1.54046 | − | 0.889388i | −0.998809 | − | 0.0487874i | \(-0.984464\pi\) |
−0.541656 | − | 0.840600i | \(-0.682202\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.85282 | + | 4.57179i | −0.299057 | + | 0.479254i | ||||
\(92\) | −0.151566 | − | 0.302582i | −0.0158018 | − | 0.0315464i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −11.2771 | + | 10.6282i | −1.16314 | + | 1.09622i | ||||
\(95\) | −1.11198 | + | 0.642000i | −0.114086 | + | 0.0658678i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.3483i | 1.35531i | 0.735378 | + | 0.677657i | \(0.237004\pi\) | ||||
−0.735378 | + | 0.677657i | \(0.762996\pi\) | |||||||
\(98\) | −1.61249 | − | 9.76729i | −0.162887 | − | 0.986645i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.0275683 | + | 0.464939i | −0.00275683 | + | 0.0464939i | ||||
\(101\) | −5.33218 | − | 9.23561i | −0.530572 | − | 0.918978i | −0.999364 | − | 0.0356691i | \(-0.988644\pi\) |
0.468791 | − | 0.883309i | \(-0.344690\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.24356 | + | 2.15390i | −0.122531 | + | 0.212230i | −0.920765 | − | 0.390117i | \(-0.872434\pi\) |
0.798234 | + | 0.602347i | \(0.205768\pi\) | |||||||
\(104\) | −3.69612 | − | 4.41895i | −0.362434 | − | 0.433313i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.20464 | − | 1.70355i | 0.699776 | − | 0.165463i | ||||
\(107\) | −7.98914 | + | 13.8376i | −0.772340 | + | 1.33773i | 0.163938 | + | 0.986471i | \(0.447580\pi\) |
−0.936278 | + | 0.351261i | \(0.885753\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.56763 | − | 3.79182i | 0.629065 | − | 0.363191i | −0.151325 | − | 0.988484i | \(-0.548354\pi\) |
0.780390 | + | 0.625293i | \(0.215021\pi\) | |||||||
\(110\) | −12.6817 | − | 3.80388i | −1.20915 | − | 0.362685i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 10.4598 | + | 1.61013i | 0.988359 | + | 0.152143i | ||||
\(113\) | 0.526715 | 0.0495492 | 0.0247746 | − | 0.999693i | \(-0.492113\pi\) | ||||
0.0247746 | + | 0.999693i | \(0.492113\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.319952 | − | 0.184724i | 0.0298357 | − | 0.0172256i | ||||
\(116\) | −0.483612 | + | 0.733622i | −0.0449023 | + | 0.0681151i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.16082 | + | 0.274478i | −0.106863 | + | 0.0252678i | ||||
\(119\) | 0.163896 | − | 4.77845i | 0.0150244 | − | 0.438040i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.69285 | + | 6.39620i | −0.335713 | + | 0.581473i | ||||
\(122\) | 8.69094 | − | 8.19088i | 0.786841 | − | 0.741567i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.668063 | − | 11.2669i | 0.0599938 | − | 1.01180i | ||||
\(125\) | −11.4253 | −1.02191 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.96196i | 0.706510i | 0.935527 | + | 0.353255i | \(0.114925\pi\) | ||||
−0.935527 | + | 0.353255i | \(0.885075\pi\) | |||||||
\(128\) | −5.11461 | + | 10.0916i | −0.452072 | + | 0.891981i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.57681 | − | 4.31347i | 0.401413 | − | 0.378317i | ||||
\(131\) | −5.91716 | − | 3.41628i | −0.516985 | − | 0.298481i | 0.218715 | − | 0.975789i | \(-0.429813\pi\) |
−0.735700 | + | 0.677307i | \(0.763147\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.37334 | − | 0.731311i | 0.119083 | − | 0.0634127i | ||||
\(134\) | −4.47543 | − | 18.9275i | −0.386618 | − | 1.63509i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.80038 | + | 1.75574i | 0.411629 | + | 0.150553i | ||||
\(137\) | −7.91720 | − | 13.7130i | −0.676412 | − | 1.17158i | −0.976054 | − | 0.217528i | \(-0.930201\pi\) |
0.299642 | − | 0.954052i | \(-0.403133\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 15.2651i | 1.29477i | 0.762165 | + | 0.647383i | \(0.224137\pi\) | ||||
−0.762165 | + | 0.647383i | \(0.775863\pi\) | |||||||
\(140\) | −1.07879 | + | 11.5029i | −0.0911741 | + | 0.972169i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.95182 | − | 13.1749i | 0.331629 | − | 1.10561i | ||||
\(143\) | −4.36675 | − | 7.56343i | −0.365166 | − | 0.632486i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.830731 | − | 0.479623i | −0.0689885 | − | 0.0398305i | ||||
\(146\) | 17.6057 | − | 4.16289i | 1.45706 | − | 0.344524i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.99284 | − | 15.9567i | −0.657008 | − | 1.31163i | ||||
\(149\) | 7.51556 | + | 4.33911i | 0.615699 | + | 0.355474i | 0.775192 | − | 0.631725i | \(-0.217653\pi\) |
−0.159494 | + | 0.987199i | \(0.550986\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 13.7288 | − | 7.92633i | 1.11724 | − | 0.645036i | 0.176541 | − | 0.984293i | \(-0.443509\pi\) |
0.940694 | + | 0.339257i | \(0.110176\pi\) | |||||||
\(152\) | 0.286262 | + | 1.63852i | 0.0232189 | + | 0.132902i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 15.2002 | + | 5.13349i | 1.22487 | + | 0.413669i | ||||
\(155\) | 12.3215 | 0.989687 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.01102 | + | 12.1434i | 0.559540 | + | 0.969152i | 0.997535 | + | 0.0701745i | \(0.0223556\pi\) |
−0.437994 | + | 0.898978i | \(0.644311\pi\) | |||||||
\(158\) | 0.879055 | + | 0.932722i | 0.0699339 | + | 0.0742034i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −11.3281 | − | 4.92167i | −0.895562 | − | 0.389093i | ||||
\(161\) | −0.395154 | + | 0.210422i | −0.0311425 | + | 0.0165836i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.232878 | − | 0.403356i | 0.0182404 | − | 0.0315933i | −0.856761 | − | 0.515713i | \(-0.827527\pi\) |
0.875002 | + | 0.484120i | \(0.160860\pi\) | |||||||
\(164\) | 11.7177 | − | 17.7753i | 0.915000 | − | 1.38802i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.66790 | + | 15.5622i | −0.362299 | + | 1.20786i | ||||
\(167\) | 8.11262 | 0.627774 | 0.313887 | − | 0.949460i | \(-0.398369\pi\) | ||||
0.313887 | + | 0.949460i | \(0.398369\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.85145 | −0.680881 | ||||||||
\(170\) | −1.60317 | + | 5.34477i | −0.122958 | + | 0.409925i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 14.3605 | + | 9.46659i | 1.09498 | + | 0.721821i | ||||
\(173\) | 2.73068 | − | 4.72968i | 0.207610 | − | 0.359591i | −0.743351 | − | 0.668901i | \(-0.766765\pi\) |
0.950961 | + | 0.309310i | \(0.100098\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.615774 | + | 0.0211205i | 0.0465482 | + | 0.00159656i | ||||
\(176\) | −10.2709 | + | 13.7361i | −0.774199 | + | 1.03539i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −16.2767 | − | 17.2704i | −1.21999 | − | 1.29447i | ||||
\(179\) | 0.914196 | + | 1.58343i | 0.0683302 | + | 0.118351i | 0.898166 | − | 0.439656i | \(-0.144900\pi\) |
−0.829836 | + | 0.558007i | \(0.811566\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −14.7458 | −1.09604 | −0.548022 | − | 0.836464i | \(-0.684619\pi\) | ||||
−0.548022 | + | 0.836464i | \(0.684619\pi\) | |||||||
\(182\) | −5.72197 | + | 5.03376i | −0.424141 | + | 0.373127i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.0823671 | − | 0.471457i | −0.00607218 | − | 0.0347563i | ||||
\(185\) | 16.8727 | − | 9.74147i | 1.24051 | − | 0.716207i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.71064 | + | 3.87439i | 0.490731 | + | 0.283324i | ||||
\(188\) | −19.5942 | + | 9.81487i | −1.42905 | + | 0.715823i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.76712 | + | 0.417838i | −0.128201 | + | 0.0303132i | ||||
\(191\) | 15.1777 | + | 8.76282i | 1.09822 | + | 0.634056i | 0.935752 | − | 0.352659i | \(-0.114722\pi\) |
0.162465 | + | 0.986714i | \(0.448056\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.86212 | − | 8.42143i | −0.349983 | − | 0.606188i | 0.636263 | − | 0.771472i | \(-0.280479\pi\) |
−0.986246 | + | 0.165284i | \(0.947146\pi\) | |||||||
\(194\) | −5.42355 | + | 18.0814i | −0.389388 | + | 1.29817i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.78428 | − | 13.8858i | 0.127449 | − | 0.991845i | ||||
\(197\) | 16.6844i | 1.18871i | 0.804202 | + | 0.594356i | \(0.202593\pi\) | ||||
−0.804202 | + | 0.594356i | \(0.797407\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.4281 | + | 18.0620i | 0.739227 | + | 1.28038i | 0.952844 | + | 0.303461i | \(0.0981422\pi\) |
−0.213617 | + | 0.976917i | \(0.568525\pi\) | |||||||
\(200\) | −0.226253 | + | 0.618600i | −0.0159985 | + | 0.0437416i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.47039 | − | 14.6770i | −0.244176 | − | 1.03267i | ||||
\(203\) | 0.986143 | + | 0.615359i | 0.0692136 | + | 0.0431897i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 20.1283 | + | 11.6211i | 1.40582 | + | 0.811649i | ||||
\(206\) | −2.55966 | + | 2.41238i | −0.178340 | + | 0.168079i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.21126 | − | 7.48763i | −0.222661 | − | 0.519174i | ||||
\(209\) | 2.52160i | 0.174423i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.15282 | 0.0793633 | 0.0396816 | − | 0.999212i | \(-0.487366\pi\) | ||||
0.0396816 | + | 0.999212i | \(0.487366\pi\) | |||||||
\(212\) | 10.4515 | + | 0.619716i | 0.717811 | + | 0.0425622i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −16.4444 | + | 15.4982i | −1.12411 | + | 1.05943i | ||||
\(215\) | −9.38850 | + | 16.2614i | −0.640290 | + | 1.10901i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −14.9221 | − | 0.511814i | −1.01298 | − | 0.0347442i | ||||
\(218\) | 10.4371 | − | 2.46786i | 0.706889 | − | 0.167145i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −15.6329 | − | 10.3054i | −1.05397 | − | 0.694788i | ||||
\(221\) | −3.18766 | + | 1.84040i | −0.214425 | + | 0.123798i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.0719 | 0.674462 | 0.337231 | − | 0.941422i | \(-0.390510\pi\) | ||||
0.337231 | + | 0.941422i | \(0.390510\pi\) | |||||||
\(224\) | 13.5145 | + | 6.43099i | 0.902977 | + | 0.429689i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.713483 | + | 0.214010i | 0.0474602 | + | 0.0142357i | ||||
\(227\) | 8.10094 | − | 4.67708i | 0.537678 | − | 0.310429i | −0.206459 | − | 0.978455i | \(-0.566194\pi\) |
0.744137 | + | 0.668027i | \(0.232861\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.3304 | + | 23.0889i | −0.880896 | + | 1.52576i | −0.0305504 | + | 0.999533i | \(0.509726\pi\) |
−0.850346 | + | 0.526224i | \(0.823607\pi\) | |||||||
\(230\) | 0.508459 | − | 0.120226i | 0.0335268 | − | 0.00792746i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.953175 | + | 0.797260i | −0.0625790 | + | 0.0523427i | ||||
\(233\) | −8.83907 | + | 15.3097i | −0.579066 | + | 1.00297i | 0.416520 | + | 0.909126i | \(0.363250\pi\) |
−0.995587 | + | 0.0938461i | \(0.970084\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −11.9621 | − | 20.7190i | −0.780322 | − | 1.35156i | ||||
\(236\) | −1.68396 | − | 0.0998497i | −0.109617 | − | 0.00649966i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.16355 | − | 6.40624i | 0.140242 | − | 0.415255i | ||||
\(239\) | − | 13.5781i | − | 0.878295i | −0.898415 | − | 0.439147i | \(-0.855281\pi\) | ||
0.898415 | − | 0.439147i | \(-0.144719\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 18.2706 | − | 10.5485i | 1.17691 | − | 0.679491i | 0.221614 | − | 0.975134i | \(-0.428867\pi\) |
0.955298 | + | 0.295643i | \(0.0955340\pi\) | |||||||
\(242\) | −7.60114 | + | 7.16378i | −0.488619 | + | 0.460505i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 15.1007 | − | 7.56406i | 0.966723 | − | 0.484239i | ||||
\(245\) | 15.2477 | + | 1.04720i | 0.974140 | + | 0.0669029i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.03733 | − | 0.598901i | −0.0660035 | − | 0.0381071i | ||||
\(248\) | 5.48280 | − | 14.9905i | 0.348158 | − | 0.951900i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −15.4766 | − | 4.64223i | −0.978828 | − | 0.293601i | ||||
\(251\) | − | 8.90673i | − | 0.562188i | −0.959680 | − | 0.281094i | \(-0.909303\pi\) | ||
0.959680 | − | 0.281094i | \(-0.0906972\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 0.725548i | − | 0.0456148i | ||||||
\(254\) | −3.23503 | + | 10.7852i | −0.202984 | + | 0.676723i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −11.0285 | + | 11.5919i | −0.689283 | + | 0.724492i | ||||
\(257\) | 21.9783 | + | 12.6892i | 1.37097 | + | 0.791530i | 0.991050 | − | 0.133490i | \(-0.0426183\pi\) |
0.379920 | + | 0.925019i | \(0.375952\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −20.8385 | + | 11.0966i | −1.29484 | + | 0.689511i | ||||
\(260\) | 7.95231 | − | 3.98338i | 0.493181 | − | 0.247038i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −6.62726 | − | 7.03186i | −0.409433 | − | 0.434429i | ||||
\(263\) | −22.6353 | + | 13.0685i | −1.39575 | + | 0.805837i | −0.993944 | − | 0.109887i | \(-0.964951\pi\) |
−0.401807 | + | 0.915724i | \(0.631618\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 11.4298i | 0.702127i | ||||||||
\(266\) | 2.15745 | − | 0.432624i | 0.132282 | − | 0.0265259i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.62807 | − | 27.4574i | 0.0994503 | − | 1.67723i | ||||
\(269\) | −6.00575 | − | 10.4023i | −0.366177 | − | 0.634237i | 0.622788 | − | 0.782391i | \(-0.286000\pi\) |
−0.988964 | + | 0.148154i | \(0.952667\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.458689 | + | 0.794472i | −0.0278633 | + | 0.0482607i | −0.879621 | − | 0.475676i | \(-0.842204\pi\) |
0.851757 | + | 0.523936i | \(0.175537\pi\) | |||||||
\(272\) | 5.78916 | + | 4.32875i | 0.351019 | + | 0.262469i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.15282 | − | 21.7923i | −0.311293 | − | 1.31652i | ||||
\(275\) | −0.499273 | + | 0.864766i | −0.0301073 | + | 0.0521473i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.91838 | + | 3.99433i | −0.415685 | + | 0.239996i | −0.693230 | − | 0.720717i | \(-0.743813\pi\) |
0.277544 | + | 0.960713i | \(0.410479\pi\) | |||||||
\(278\) | −6.20236 | + | 20.6779i | −0.371993 | + | 1.24018i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.13504 | + | 15.1433i | −0.366639 | + | 0.904986i | ||||
\(281\) | −8.33678 | −0.497331 | −0.248665 | − | 0.968589i | \(-0.579992\pi\) | ||||
−0.248665 | + | 0.968589i | \(0.579992\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.23852 | − | 4.75651i | 0.489729 | − | 0.282745i | −0.234733 | − | 0.972060i | \(-0.575422\pi\) |
0.724462 | + | 0.689315i | \(0.242088\pi\) | |||||||
\(284\) | 10.7062 | − | 16.2409i | 0.635295 | − | 0.963719i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.84205 | − | 12.0196i | −0.168054 | − | 0.710734i | ||||
\(287\) | −23.8938 | − | 14.9099i | −1.41041 | − | 0.880102i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.86711 | + | 11.8942i | −0.403948 | + | 0.699658i | ||||
\(290\) | −0.930424 | − | 0.987227i | −0.0546364 | − | 0.0579720i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 25.5399 | + | 1.51438i | 1.49461 | + | 0.0886222i | ||||
\(293\) | −31.0816 | −1.81580 | −0.907902 | − | 0.419182i | \(-0.862317\pi\) | ||||
−0.907902 | + | 0.419182i | \(0.862317\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 1.84159i | − | 0.107221i | ||||||
\(296\) | −4.34364 | − | 24.8624i | −0.252469 | − | 1.44510i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 8.41747 | + | 8.93136i | 0.487611 | + | 0.517380i | ||||
\(299\) | 0.298473 | + | 0.172323i | 0.0172611 | + | 0.00996572i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.0455 | − | 19.3035i | 0.694291 | − | 1.11263i | ||||
\(302\) | 21.8175 | − | 5.15876i | 1.25545 | − | 0.296854i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.277982 | + | 2.33584i | −0.0159434 | + | 0.133970i | ||||
\(305\) | 9.21887 | + | 15.9676i | 0.527871 | + | 0.914300i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.58482i | 0.147523i | 0.997276 | + | 0.0737617i | \(0.0235004\pi\) | ||||
−0.997276 | + | 0.0737617i | \(0.976500\pi\) | |||||||
\(308\) | 18.5043 | + | 13.1298i | 1.05438 | + | 0.748139i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 16.6906 | + | 5.00636i | 0.947961 | + | 0.284342i | ||||
\(311\) | 12.9363 | + | 22.4064i | 0.733553 | + | 1.27055i | 0.955355 | + | 0.295459i | \(0.0954727\pi\) |
−0.221802 | + | 0.975092i | \(0.571194\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.2106 | + | 6.47247i | 0.633663 | + | 0.365845i | 0.782169 | − | 0.623066i | \(-0.214113\pi\) |
−0.148506 | + | 0.988911i | \(0.547447\pi\) | |||||||
\(314\) | 4.56304 | + | 19.2980i | 0.257507 | + | 1.08905i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.811784 | + | 1.62062i | 0.0456664 | + | 0.0911673i | ||||
\(317\) | 6.16964 | + | 3.56204i | 0.346522 | + | 0.200064i | 0.663152 | − | 0.748485i | \(-0.269218\pi\) |
−0.316631 | + | 0.948549i | \(0.602552\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.63145 | + | 0.941915i | −0.0913434 | + | 0.0527371i | ||||
\(320\) | −13.3451 | − | 11.2696i | −0.746016 | − | 0.629987i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.620768 | + | 0.124480i | −0.0345941 | + | 0.00693701i | ||||
\(323\) | 1.06275 | 0.0591329 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.237163 | − | 0.410778i | −0.0131554 | − | 0.0227858i | ||||
\(326\) | 0.479341 | − | 0.451761i | 0.0265483 | − | 0.0250207i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 23.0950 | − | 19.3172i | 1.27521 | − | 1.06662i | ||||
\(329\) | 13.6262 | + | 25.5888i | 0.751236 | + | 1.41076i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.31858 | + | 9.21205i | −0.292336 | + | 0.506340i | −0.974362 | − | 0.224988i | \(-0.927766\pi\) |
0.682026 | + | 0.731328i | \(0.261099\pi\) | |||||||
\(332\) | −12.6462 | + | 19.1838i | −0.694049 | + | 1.05285i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 10.9893 | + | 3.29624i | 0.601306 | + | 0.180362i | ||||
\(335\) | 30.0275 | 1.64058 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.18999 | 0.337190 | 0.168595 | − | 0.985685i | \(-0.446077\pi\) | ||||
0.168595 | + | 0.985685i | \(0.446077\pi\) | |||||||
\(338\) | −11.9901 | − | 3.59644i | −0.652174 | − | 0.195620i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.34327 | + | 6.58858i | −0.235547 | + | 0.357316i | ||||
\(341\) | 12.0989 | − | 20.9559i | 0.655192 | − | 1.13483i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.4224 | − | 1.90158i | −0.994715 | − | 0.102676i | ||||
\(344\) | 15.6062 | + | 18.6581i | 0.841427 | + | 1.00598i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.62068 | − | 5.29727i | 0.302169 | − | 0.284783i | ||||
\(347\) | −13.9217 | − | 24.1130i | −0.747353 | − | 1.29445i | −0.949087 | − | 0.315014i | \(-0.897991\pi\) |
0.201734 | − | 0.979440i | \(-0.435342\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 29.5982 | 1.58435 | 0.792177 | − | 0.610291i | \(-0.208948\pi\) | ||||
0.792177 | + | 0.610291i | \(0.208948\pi\) | |||||||
\(350\) | 0.825540 | + | 0.278805i | 0.0441270 | + | 0.0149028i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −19.4940 | + | 14.4335i | −1.03903 | + | 0.769310i | ||||
\(353\) | −18.0733 | + | 10.4346i | −0.961944 | + | 0.555379i | −0.896771 | − | 0.442495i | \(-0.854093\pi\) |
−0.0651732 | + | 0.997874i | \(0.520760\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 18.3907 | + | 10.6179i | 0.976076 | + | 0.563538i | ||||
\(356\) | −15.0311 | − | 30.0077i | −0.796648 | − | 1.59041i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.594994 | + | 2.51635i | 0.0314464 | + | 0.132993i | ||||
\(359\) | 11.0866 | + | 6.40087i | 0.585130 | + | 0.337825i | 0.763170 | − | 0.646198i | \(-0.223642\pi\) |
−0.178039 | + | 0.984023i | \(0.556975\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.32708 | − | 16.1550i | −0.490899 | − | 0.850262i | ||||
\(362\) | −19.9744 | − | 5.99136i | −1.04983 | − | 0.314899i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −9.79619 | + | 4.49378i | −0.513460 | + | 0.235538i | ||||
\(365\) | 27.9306i | 1.46195i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.2129 | + | 19.4214i | 0.585311 | + | 1.01379i | 0.994837 | + | 0.101490i | \(0.0323609\pi\) |
−0.409526 | + | 0.912299i | \(0.634306\pi\) | |||||||
\(368\) | 0.0799845 | − | 0.672098i | 0.00416948 | − | 0.0350355i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 26.8137 | − | 6.34012i | 1.39398 | − | 0.329607i | ||||
\(371\) | 0.474774 | − | 13.8422i | 0.0246490 | − | 0.718650i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −15.2845 | − | 8.82452i | −0.791403 | − | 0.456916i | 0.0490535 | − | 0.998796i | \(-0.484380\pi\) |
−0.840456 | + | 0.541880i | \(0.817713\pi\) | |||||||
\(374\) | 7.51596 | + | 7.97481i | 0.388641 | + | 0.412368i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −30.5299 | + | 5.33380i | −1.57446 | + | 0.275070i | ||||
\(377\) | − | 0.894849i | − | 0.0460871i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.18139 | −0.214784 | −0.107392 | − | 0.994217i | \(-0.534250\pi\) | ||||
−0.107392 | + | 0.994217i | \(0.534250\pi\) | |||||||
\(380\) | −2.56350 | − | 0.152001i | −0.131505 | − | 0.00779749i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 16.9991 | + | 18.0369i | 0.869748 | + | 0.922846i | ||||
\(383\) | −2.79779 | + | 4.84592i | −0.142961 | + | 0.247615i | −0.928610 | − | 0.371057i | \(-0.878996\pi\) |
0.785650 | + | 0.618672i | \(0.212329\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −13.1128 | + | 21.0139i | −0.668290 | + | 1.07097i | ||||
\(386\) | −3.16445 | − | 13.3831i | −0.161066 | − | 0.681182i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −14.6934 | + | 22.2893i | −0.745943 | + | 1.13157i | ||||
\(389\) | −3.09906 | + | 1.78924i | −0.157128 | + | 0.0907181i | −0.576502 | − | 0.817095i | \(-0.695583\pi\) |
0.419374 | + | 0.907813i | \(0.362250\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.305787 | −0.0154643 | ||||||||
\(392\) | 8.05893 | − | 18.0846i | 0.407037 | − | 0.913411i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.77904 | + | 22.6005i | −0.341523 | + | 1.13860i | ||||
\(395\) | −1.71366 | + | 0.989381i | −0.0862235 | + | 0.0497811i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.0602558 | − | 0.104366i | 0.00302415 | − | 0.00523798i | −0.864509 | − | 0.502617i | \(-0.832371\pi\) |
0.867534 | + | 0.497379i | \(0.165704\pi\) | |||||||
\(398\) | 6.78700 | + | 28.7036i | 0.340201 | + | 1.43878i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.557824 | + | 0.746019i | −0.0278912 | + | 0.0373010i | ||||
\(401\) | 3.22209 | − | 5.58083i | 0.160904 | − | 0.278693i | −0.774289 | − | 0.632832i | \(-0.781893\pi\) |
0.935193 | + | 0.354138i | \(0.115226\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.74716 | + | 9.95438i | 0.286287 | + | 0.495863i | ||||
\(404\) | 1.26246 | − | 21.2913i | 0.0628097 | − | 1.05928i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.08579 | + | 1.23424i | 0.0538869 | + | 0.0612543i | ||||
\(407\) | − | 38.2619i | − | 1.89657i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.83854 | − | 1.63883i | 0.140357 | − | 0.0810349i | −0.428177 | − | 0.903695i | \(-0.640844\pi\) |
0.568534 | + | 0.822660i | \(0.307511\pi\) | |||||||
\(410\) | 22.5438 | + | 23.9201i | 1.11336 | + | 1.18133i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.44746 | + | 2.22777i | −0.219111 | + | 0.109754i | ||||
\(413\) | −0.0764964 | + | 2.23028i | −0.00376414 | + | 0.109745i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −21.7231 | − | 12.5418i | −1.06635 | − | 0.615655i | ||||
\(416\) | −1.30764 | − | 11.4474i | −0.0641121 | − | 0.561256i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.02455 | + | 3.41574i | −0.0501126 | + | 0.167069i | ||||
\(419\) | − | 28.8123i | − | 1.40757i | −0.710412 | − | 0.703786i | \(-0.751491\pi\) | ||
0.710412 | − | 0.703786i | \(-0.248509\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 15.2534i | − | 0.743407i | −0.928351 | − | 0.371704i | \(-0.878774\pi\) | ||
0.928351 | − | 0.371704i | \(-0.121226\pi\) | |||||||
\(422\) | 1.56159 | + | 0.468402i | 0.0760172 | + | 0.0228015i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 13.9057 | + | 5.08601i | 0.675320 | + | 0.246999i | ||||
\(425\) | 0.364462 | + | 0.210422i | 0.0176790 | + | 0.0102070i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −10.5013 | − | 19.7206i | −0.508196 | − | 0.954347i | ||||
\(428\) | −28.5724 | + | 14.3122i | −1.38110 | + | 0.691805i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −19.3247 | + | 18.2128i | −0.931920 | + | 0.878299i | ||||
\(431\) | 20.0014 | − | 11.5478i | 0.963433 | − | 0.556238i | 0.0662048 | − | 0.997806i | \(-0.478911\pi\) |
0.897228 | + | 0.441568i | \(0.145578\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 16.9988i | − | 0.816912i | −0.912778 | − | 0.408456i | \(-0.866067\pi\) | ||
0.912778 | − | 0.408456i | \(-0.133933\pi\) | |||||||
\(434\) | −20.0053 | − | 6.75629i | −0.960286 | − | 0.324312i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 15.1407 | + | 0.897759i | 0.725108 | + | 0.0429949i | ||||
\(437\) | −0.0497546 | − | 0.0861774i | −0.00238008 | − | 0.00412243i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.772860 | + | 1.33863i | −0.0368866 | + | 0.0638895i | −0.883879 | − | 0.467715i | \(-0.845077\pi\) |
0.846993 | + | 0.531604i | \(0.178411\pi\) | |||||||
\(440\) | −16.9889 | − | 20.3114i | −0.809916 | − | 0.968306i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.06574 | + | 1.19780i | −0.240953 | + | 0.0569736i | ||||
\(443\) | 12.7763 | − | 22.1292i | 0.607019 | − | 1.05139i | −0.384710 | − | 0.923038i | \(-0.625699\pi\) |
0.991729 | − | 0.128350i | \(-0.0409681\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 31.7304 | − | 18.3195i | 1.50416 | − | 0.868429i | ||||
\(446\) | 13.6432 | + | 4.09231i | 0.646026 | + | 0.193776i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 15.6936 | + | 14.2024i | 0.741455 | + | 0.671002i | ||||
\(449\) | −15.9139 | −0.751025 | −0.375513 | − | 0.926817i | \(-0.622533\pi\) | ||||
−0.375513 | + | 0.926817i | \(0.622533\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 39.5292 | − | 22.8222i | 1.86136 | − | 1.07465i | ||||
\(452\) | 0.879521 | + | 0.579791i | 0.0413692 | + | 0.0272711i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 12.8738 | − | 3.04402i | 0.604197 | − | 0.142863i | ||||
\(455\) | −5.53021 | − | 10.3852i | −0.259260 | − | 0.486868i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.09999 | − | 12.2975i | 0.332123 | − | 0.575255i | −0.650805 | − | 0.759245i | \(-0.725568\pi\) |
0.982928 | + | 0.183991i | \(0.0589016\pi\) | |||||||
\(458\) | −27.4385 | + | 25.8597i | −1.28211 | + | 1.20834i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.737602 | + | 0.0437357i | 0.0343909 | + | 0.00203919i | ||||
\(461\) | −21.5871 | −1.00541 | −0.502706 | − | 0.864458i | \(-0.667662\pi\) | ||||
−0.502706 | + | 0.864458i | \(0.667662\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 8.18559i | − | 0.380417i | −0.981744 | − | 0.190208i | \(-0.939084\pi\) | ||
0.981744 | − | 0.190208i | \(-0.0609164\pi\) | |||||||
\(464\) | −1.61509 | + | 0.692674i | −0.0749789 | + | 0.0321566i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −18.1938 | + | 17.1470i | −0.842812 | + | 0.794318i | ||||
\(467\) | −20.2861 | − | 11.7122i | −0.938731 | − | 0.541977i | −0.0491686 | − | 0.998790i | \(-0.515657\pi\) |
−0.889562 | + | 0.456814i | \(0.848991\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −36.3651 | − | 1.24729i | −1.67919 | − | 0.0575945i | ||||
\(470\) | −7.78540 | − | 32.9260i | −0.359114 | − | 1.51876i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.24051 | − | 0.819467i | −0.103128 | − | 0.0377190i | ||||
\(473\) | 18.4377 | + | 31.9351i | 0.847769 | + | 1.46838i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.136951i | 0.00628373i | ||||||||
\(476\) | 5.53364 | − | 7.79876i | 0.253634 | − | 0.357455i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 5.51693 | − | 18.3928i | 0.252338 | − | 0.841265i | ||||
\(479\) | 0.948080 | + | 1.64212i | 0.0433189 | + | 0.0750305i | 0.886872 | − | 0.462015i | \(-0.152874\pi\) |
−0.843553 | + | 0.537046i | \(0.819540\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 15.7400 | + | 9.08750i | 0.717683 | + | 0.414354i | ||||
\(482\) | 29.0351 | − | 6.86540i | 1.32251 | − | 0.312710i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −13.2071 | + | 6.61556i | −0.600324 | + | 0.300707i | ||||
\(485\) | −25.2397 | − | 14.5722i | −1.14608 | − | 0.661687i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.73377 | + | 2.73304i | −0.214508 | + | 0.123846i | −0.603404 | − | 0.797435i | \(-0.706190\pi\) |
0.388897 | + | 0.921281i | \(0.372856\pi\) | |||||||
\(488\) | 23.5286 | − | 4.11062i | 1.06509 | − | 0.186079i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 20.2289 | + | 7.61382i | 0.913848 | + | 0.343957i | ||||
\(491\) | −25.7761 | −1.16326 | −0.581630 | − | 0.813453i | \(-0.697585\pi\) | ||||
−0.581630 | + | 0.813453i | \(0.697585\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.396977 | + | 0.687584i | 0.0178789 | + | 0.0309672i | ||||
\(494\) | −1.16181 | − | 1.23274i | −0.0522724 | − | 0.0554636i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 13.5178 | − | 18.0783i | 0.606965 | − | 0.811740i | ||||
\(497\) | −21.8312 | − | 13.6228i | −0.979262 | − | 0.611066i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.08570 | + | 1.88049i | −0.0486027 | + | 0.0841823i | −0.889303 | − | 0.457318i | \(-0.848810\pi\) |
0.840701 | + | 0.541500i | \(0.182143\pi\) | |||||||
\(500\) | −19.0783 | − | 12.5766i | −0.853207 | − | 0.562444i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 3.61890 | − | 12.0650i | 0.161519 | − | 0.538485i | ||||
\(503\) | 21.5871 | 0.962521 | 0.481261 | − | 0.876578i | \(-0.340179\pi\) | ||||
0.481261 | + | 0.876578i | \(0.340179\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 23.2843 | 1.03614 | ||||||||
\(506\) | 0.294798 | − | 0.982820i | 0.0131054 | − | 0.0436917i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8.76427 | + | 13.2951i | −0.388852 | + | 0.589874i | ||||
\(509\) | 11.5516 | − | 20.0079i | 0.512015 | − | 0.886836i | −0.487888 | − | 0.872906i | \(-0.662233\pi\) |
0.999903 | − | 0.0139295i | \(-0.00443404\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.16019 | − | 33.8256i | 0.0513237 | − | 1.49636i | ||||
\(512\) | −19.6490 | + | 11.2212i | −0.868373 | + | 0.495912i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 24.6158 | + | 26.1187i | 1.08576 | + | 1.15204i | ||||
\(515\) | −2.71515 | − | 4.70277i | −0.119644 | − | 0.207229i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −46.9839 | −2.06635 | ||||||||
\(518\) | −32.7363 | + | 6.56448i | −1.43835 | + | 0.288426i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 12.3906 | − | 2.16473i | 0.543364 | − | 0.0949297i | ||||
\(521\) | −7.24334 | + | 4.18194i | −0.317336 | + | 0.183214i | −0.650205 | − | 0.759759i | \(-0.725317\pi\) |
0.332868 | + | 0.942973i | \(0.391984\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −16.8628 | − | 9.73575i | −0.737359 | − | 0.425715i | 0.0837491 | − | 0.996487i | \(-0.473311\pi\) |
−0.821108 | + | 0.570772i | \(0.806644\pi\) | |||||||
\(524\) | −6.12009 | − | 12.2180i | −0.267357 | − | 0.533746i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −35.9714 | + | 8.50548i | −1.56843 | + | 0.370856i | ||||
\(527\) | −8.83201 | − | 5.09916i | −0.384728 | − | 0.222123i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.4857 | − | 19.8938i | −0.499378 | − | 0.864947i | ||||
\(530\) | −4.64405 | + | 15.4827i | −0.201725 | + | 0.672525i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.09823 | + | 0.290566i | 0.134325 | + | 0.0125976i | ||||
\(533\) | 21.6818i | 0.939143i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −17.4433 | − | 30.2127i | −0.754139 | − | 1.30621i | ||||
\(536\) | 13.3616 | − | 36.5320i | 0.577133 | − | 1.57794i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.90877 | − | 16.5310i | −0.168519 | − | 0.712701i | ||||
\(539\) | 16.7532 | − | 24.9044i | 0.721614 | − | 1.07271i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −10.9541 | − | 6.32437i | −0.470955 | − | 0.271906i | 0.245685 | − | 0.969350i | \(-0.420987\pi\) |
−0.716639 | + | 0.697444i | \(0.754321\pi\) | |||||||
\(542\) | −0.944137 | + | 0.889813i | −0.0405542 | + | 0.0382207i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 6.08312 | + | 8.21587i | 0.260812 | + | 0.352253i | ||||
\(545\) | 16.5579i | 0.709264i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −21.1528 | −0.904429 | −0.452215 | − | 0.891909i | \(-0.649366\pi\) | ||||
−0.452215 | + | 0.891909i | \(0.649366\pi\) | |||||||
\(548\) | 1.87449 | − | 31.6133i | 0.0800743 | − | 1.35045i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1.02767 | + | 0.968543i | −0.0438201 | + | 0.0412988i | ||||
\(551\) | −0.129184 | + | 0.223753i | −0.00550342 | + | 0.00953221i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.11644 | − | 1.12702i | 0.0900001 | − | 0.0479256i | ||||
\(554\) | −10.9945 | + | 2.59966i | −0.467112 | + | 0.110449i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −16.8033 | + | 25.4900i | −0.712618 | + | 1.08102i | ||||
\(557\) | 31.0289 | − | 17.9145i | 1.31474 | − | 0.759063i | 0.331859 | − | 0.943329i | \(-0.392324\pi\) |
0.982876 | + | 0.184266i | \(0.0589908\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −17.5164 | −0.740867 | ||||||||
\(560\) | −14.4634 | + | 18.0202i | −0.611188 | + | 0.761494i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −11.2929 | − | 3.38732i | −0.476363 | − | 0.142886i | ||||
\(563\) | −23.7961 | + | 13.7387i | −1.00289 | + | 0.579016i | −0.909101 | − | 0.416576i | \(-0.863230\pi\) |
−0.0937850 | + | 0.995592i | \(0.529897\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.575008 | + | 0.995943i | −0.0241908 | + | 0.0418996i | ||||
\(566\) | 13.0924 | − | 3.09572i | 0.550316 | − | 0.130123i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 21.1013 | − | 17.6497i | 0.885392 | − | 0.740565i | ||||
\(569\) | −14.6645 | + | 25.3997i | −0.614768 | + | 1.06481i | 0.375657 | + | 0.926759i | \(0.377417\pi\) |
−0.990425 | + | 0.138051i | \(0.955916\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.02495 | − | 1.77527i | −0.0428929 | − | 0.0742927i | 0.843782 | − | 0.536686i | \(-0.180324\pi\) |
−0.886675 | + | 0.462393i | \(0.846991\pi\) | |||||||
\(572\) | 1.03388 | − | 17.4364i | 0.0432287 | − | 0.729051i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −26.3082 | − | 29.9051i | −1.09808 | − | 1.24821i | ||||
\(575\) | − | 0.0394053i | − | 0.00164331i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.90927 | + | 1.67967i | −0.121115 | + | 0.0699256i | −0.559333 | − | 0.828943i | \(-0.688943\pi\) |
0.438219 | + | 0.898868i | \(0.355610\pi\) | |||||||
\(578\) | −14.1348 | + | 13.3216i | −0.587932 | + | 0.554104i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.859221 | − | 1.71533i | −0.0356772 | − | 0.0712251i | ||||
\(581\) | 25.7870 | + | 16.0913i | 1.06983 | + | 0.667578i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 19.4393 | + | 11.2233i | 0.805094 | + | 0.464821i | ||||
\(584\) | 33.9808 | + | 12.4285i | 1.40614 | + | 0.514295i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −42.1027 | − | 12.6288i | −1.73925 | − | 0.521690i | ||||
\(587\) | 30.9449i | 1.27723i | 0.769526 | + | 0.638615i | \(0.220492\pi\) | ||||
−0.769526 | + | 0.638615i | \(0.779508\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 3.31873i | − | 0.136746i | ||||||
\(590\) | 0.748257 | − | 2.49460i | 0.0308053 | − | 0.102701i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.21799 | − | 35.4432i | 0.173359 | − | 1.45670i | ||||
\(593\) | 19.2127 | + | 11.0925i | 0.788971 | + | 0.455513i | 0.839600 | − | 0.543205i | \(-0.182789\pi\) |
−0.0506289 | + | 0.998718i | \(0.516123\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.85645 | + | 5.52648i | 0.363079 | + | 0.226563i | ||||
\(596\) | 7.77330 | + | 15.5184i | 0.318407 | + | 0.635660i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.334291 | + | 0.354700i | 0.0136702 | + | 0.0145048i | ||||
\(599\) | −11.8417 | + | 6.83682i | −0.483840 | + | 0.279345i | −0.722015 | − | 0.691877i | \(-0.756784\pi\) |
0.238175 | + | 0.971222i | \(0.423451\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 16.8463i | 0.687175i | 0.939121 | + | 0.343587i | \(0.111642\pi\) | ||||
−0.939121 | + | 0.343587i | \(0.888358\pi\) | |||||||
\(602\) | 24.1599 | − | 21.2541i | 0.984684 | − | 0.866252i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 31.6497 | + | 1.87665i | 1.28781 | + | 0.0763600i | ||||
\(605\) | −8.06287 | − | 13.9653i | −0.327802 | − | 0.567770i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −7.65975 | + | 13.2671i | −0.310900 | + | 0.538494i | −0.978557 | − | 0.205975i | \(-0.933964\pi\) |
0.667658 | + | 0.744468i | \(0.267297\pi\) | |||||||
\(608\) | −1.32563 | + | 3.05116i | −0.0537613 | + | 0.123741i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 6.00000 | + | 25.3752i | 0.242933 | + | 1.02741i | ||||
\(611\) | 11.1591 | − | 19.3281i | 0.451447 | − | 0.781929i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −30.3794 | + | 17.5396i | −1.22701 | + | 0.708416i | −0.966404 | − | 0.257028i | \(-0.917257\pi\) |
−0.260609 | + | 0.965444i | \(0.583923\pi\) | |||||||
\(614\) | −1.05024 | + | 3.50137i | −0.0423842 | + | 0.141304i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 19.7309 | + | 25.3039i | 0.794981 | + | 1.01953i | ||||
\(617\) | 34.0392 | 1.37037 | 0.685184 | − | 0.728370i | \(-0.259722\pi\) | ||||
0.685184 | + | 0.728370i | \(0.259722\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 14.6292 | − | 8.44618i | 0.587998 | − | 0.339481i | −0.176308 | − | 0.984335i | \(-0.556415\pi\) |
0.764305 | + | 0.644855i | \(0.223082\pi\) | |||||||
\(620\) | 20.5747 | + | 13.5631i | 0.826301 | + | 0.544708i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 8.41948 | + | 35.6077i | 0.337590 | + | 1.42774i | ||||
\(623\) | −39.1883 | + | 20.8680i | −1.57005 | + | 0.836060i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.8907 | − | 20.5953i | 0.475628 | − | 0.823811i | ||||
\(626\) | 12.5560 | + | 13.3225i | 0.501838 | + | 0.532476i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.65994 | + | 27.9949i | −0.0662389 | + | 1.11712i | ||||
\(629\) | −16.1257 | −0.642975 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 31.5662i | − | 1.25663i | −0.777959 | − | 0.628315i | \(-0.783745\pi\) | ||
0.777959 | − | 0.628315i | \(-0.216255\pi\) | |||||||
\(632\) | 0.441157 | + | 2.52512i | 0.0175483 | + | 0.100444i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 6.91003 | + | 7.33190i | 0.274432 | + | 0.291187i | ||||
\(635\) | −15.0549 | − | 8.69197i | −0.597437 | − | 0.344930i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.26603 | + | 12.8069i | 0.248269 | + | 0.507427i | ||||
\(638\) | −2.59265 | + | 0.613035i | −0.102644 | + | 0.0242703i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −13.4982 | − | 20.6879i | −0.533565 | − | 0.817761i | ||||
\(641\) | −8.82372 | − | 15.2831i | −0.348516 | − | 0.603647i | 0.637470 | − | 0.770475i | \(-0.279981\pi\) |
−0.985986 | + | 0.166828i | \(0.946648\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.96415i | 0.392948i | 0.980509 | + | 0.196474i | \(0.0629491\pi\) | ||||
−0.980509 | + | 0.196474i | \(0.937051\pi\) | |||||||
\(644\) | −0.891464 | − | 0.0836053i | −0.0351286 | − | 0.00329451i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.43959 | + | 0.431806i | 0.0566398 | + | 0.0169892i | ||||
\(647\) | 18.1393 | + | 31.4183i | 0.713131 | + | 1.23518i | 0.963676 | + | 0.267075i | \(0.0860570\pi\) |
−0.250544 | + | 0.968105i | \(0.580610\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.13210 | − | 1.80832i | −0.122946 | − | 0.0709827i | ||||
\(650\) | −0.154355 | − | 0.652796i | −0.00605428 | − | 0.0256048i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.832866 | − | 0.417189i | 0.0326175 | − | 0.0163384i | ||||
\(653\) | −28.8049 | − | 16.6305i | −1.12722 | − | 0.650803i | −0.183988 | − | 0.982928i | \(-0.558901\pi\) |
−0.943235 | + | 0.332125i | \(0.892234\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.9194 | − | 7.45901i | 0.504802 | − | 0.291448i | ||||
\(656\) | 39.1330 | − | 16.7832i | 1.52789 | − | 0.655274i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 8.06090 | + | 40.1988i | 0.314246 | + | 1.56711i | ||||
\(659\) | 43.9413 | 1.71171 | 0.855855 | − | 0.517216i | \(-0.173032\pi\) | ||||
0.855855 | + | 0.517216i | \(0.173032\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.46365 | − | 7.73127i | −0.173616 | − | 0.300712i | 0.766065 | − | 0.642763i | \(-0.222212\pi\) |
−0.939681 | + | 0.342051i | \(0.888878\pi\) | |||||||
\(662\) | −10.9474 | + | 10.3175i | −0.425484 | + | 0.401003i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −24.9249 | + | 20.8479i | −0.967275 | + | 0.809054i | ||||
\(665\) | −0.116450 | + | 3.39515i | −0.00451575 | + | 0.131658i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.0371705 | − | 0.0643811i | 0.00143925 | − | 0.00249285i | ||||
\(668\) | 13.5466 | + | 8.93011i | 0.524136 | + | 0.345516i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 40.6750 | + | 12.2005i | 1.57141 | + | 0.471346i | ||||
\(671\) | 36.2093 | 1.39784 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −13.7714 | −0.530848 | −0.265424 | − | 0.964132i | \(-0.585512\pi\) | ||||
−0.265424 | + | 0.964132i | \(0.585512\pi\) | |||||||
\(674\) | 8.38489 | + | 2.51506i | 0.322974 | + | 0.0968764i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −14.7804 | − | 9.74339i | −0.568475 | − | 0.374746i | ||||
\(677\) | 12.3034 | − | 21.3101i | 0.472857 | − | 0.819012i | −0.526661 | − | 0.850076i | \(-0.676556\pi\) |
0.999517 | + | 0.0310637i | \(0.00988948\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 29.9615 | + | 18.6962i | 1.14982 | + | 0.717493i | ||||
\(680\) | −8.56036 | + | 7.16011i | −0.328275 | + | 0.274578i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 24.9036 | − | 23.4707i | 0.953609 | − | 0.898740i | ||||
\(683\) | 7.87269 | + | 13.6359i | 0.301240 | + | 0.521763i | 0.976417 | − | 0.215892i | \(-0.0692661\pi\) |
−0.675177 | + | 0.737656i | \(0.735933\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 34.5724 | 1.32094 | ||||||||
\(686\) | −24.1821 | − | 10.0611i | −0.923278 | − | 0.384133i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 13.5589 | + | 31.6151i | 0.516929 | + | 1.20531i | ||||
\(689\) | −9.23398 | + | 5.33124i | −0.351787 | + | 0.203104i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 12.8292 | + | 7.40697i | 0.488047 | + | 0.281774i | 0.723764 | − | 0.690047i | \(-0.242410\pi\) |
−0.235717 | + | 0.971822i | \(0.575744\pi\) | |||||||
\(692\) | 9.76604 | − | 4.89189i | 0.371249 | − | 0.185962i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −9.06075 | − | 38.3197i | −0.343941 | − | 1.45460i | ||||
\(695\) | −28.8641 | − | 16.6647i | −1.09488 | − | 0.632127i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.61857 | − | 16.6599i | −0.364329 | − | 0.631037i | ||||
\(698\) | 40.0934 | + | 12.0261i | 1.51756 | + | 0.455193i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.00499 | + | 0.713092i | 0.0379849 | + | 0.0269523i | ||||
\(701\) | 44.0371i | 1.66326i | 0.555333 | + | 0.831628i | \(0.312591\pi\) | ||||
−0.555333 | + | 0.831628i | \(0.687409\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.62381 | − | 4.54458i | −0.0989590 | − | 0.171402i | ||||
\(704\) | −32.2708 | + | 11.6309i | −1.21625 | + | 0.438356i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −28.7216 | + | 6.79125i | −1.08095 | + | 0.255592i | ||||
\(707\) | −28.1987 | − | 0.967189i | −1.06052 | − | 0.0363749i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −14.3908 | − | 8.30854i | −0.540459 | − | 0.312034i | 0.204806 | − | 0.978803i | \(-0.434344\pi\) |
−0.745265 | + | 0.666769i | \(0.767677\pi\) | |||||||
\(710\) | 20.5977 | + | 21.8552i | 0.773017 | + | 0.820210i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −8.16852 | − | 46.7555i | −0.306128 | − | 1.75224i | ||||
\(713\) | 0.954908i | 0.0357616i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 19.0685 | 0.713121 | ||||||||
\(716\) | −0.216447 | + | 3.65037i | −0.00808900 | + | 0.136421i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 12.4171 | + | 13.1752i | 0.463402 | + | 0.491693i | ||||
\(719\) | −23.7299 | + | 41.1014i | −0.884976 | + | 1.53282i | −0.0392347 | + | 0.999230i | \(0.512492\pi\) |
−0.845741 | + | 0.533593i | \(0.820841\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.09286 | + | 5.80812i | 0.115184 | + | 0.216306i | ||||
\(722\) | −6.07042 | − | 25.6730i | −0.225918 | − | 0.955452i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −24.6228 | − | 16.2317i | −0.915100 | − | 0.603245i | ||||
\(725\) | −0.0886054 | + | 0.0511564i | −0.00329072 | + | 0.00189990i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −17.4768 | −0.648179 | −0.324089 | − | 0.946026i | \(-0.605058\pi\) | ||||
−0.324089 | + | 0.946026i | \(0.605058\pi\) | |||||||
\(728\) | −15.0957 | + | 2.10693i | −0.559483 | + | 0.0780881i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −11.3485 | + | 37.8345i | −0.420027 | + | 1.40032i | ||||
\(731\) | 13.4593 | − | 7.77072i | 0.497810 | − | 0.287410i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 18.8796 | − | 32.7004i | 0.697334 | − | 1.20782i | −0.272053 | − | 0.962282i | \(-0.587703\pi\) |
0.969387 | − | 0.245536i | \(-0.0789640\pi\) | |||||||
\(734\) | 7.29782 | + | 30.8639i | 0.269367 | + | 1.13921i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.381427 | − | 0.877918i | 0.0140596 | − | 0.0323605i | ||||
\(737\) | 29.4850 | − | 51.0695i | 1.08609 | − | 1.88117i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.08570 | + | 8.80869i | 0.187081 | + | 0.324033i | 0.944276 | − | 0.329156i | \(-0.106764\pi\) |
−0.757195 | + | 0.653189i | \(0.773431\pi\) | |||||||
\(740\) | 38.8975 | + | 2.30641i | 1.42990 | + | 0.0847853i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 6.26734 | − | 18.5575i | 0.230081 | − | 0.681269i | ||||
\(743\) | − | 45.6235i | − | 1.67376i | −0.547385 | − | 0.836881i | \(-0.684376\pi\) | ||
0.547385 | − | 0.836881i | \(-0.315624\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −16.4093 | + | 9.47390i | −0.601189 | + | 0.347097i | ||||
\(746\) | −17.1188 | − | 18.1639i | −0.626762 | − | 0.665026i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 6.94078 | + | 13.8564i | 0.253780 | + | 0.506640i | ||||
\(749\) | 19.8699 | + | 37.3139i | 0.726030 | + | 1.36342i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 21.5415 | + | 12.4370i | 0.786059 | + | 0.453831i | 0.838573 | − | 0.544789i | \(-0.183390\pi\) |
−0.0525142 | + | 0.998620i | \(0.516723\pi\) | |||||||
\(752\) | −43.5227 | − | 5.17952i | −1.58711 | − | 0.188878i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.363587 | − | 1.21215i | 0.0132410 | − | 0.0441440i | ||||
\(755\) | 34.6123i | 1.25967i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 40.1442i | 1.45907i | 0.683945 | + | 0.729533i | \(0.260263\pi\) | ||||
−0.683945 | + | 0.729533i | \(0.739737\pi\) | |||||||
\(758\) | −5.66407 | − | 1.69894i | −0.205728 | − | 0.0617084i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.41073 | − | 1.24747i | −0.123720 | − | 0.0452507i | ||||
\(761\) | 18.0272 | + | 10.4080i | 0.653487 | + | 0.377291i | 0.789791 | − | 0.613376i | \(-0.210189\pi\) |
−0.136304 | + | 0.990667i | \(0.543522\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.687787 | − | 20.0526i | 0.0248996 | − | 0.725954i | ||||
\(764\) | 15.6982 | + | 31.3394i | 0.567940 | + | 1.13382i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −5.75881 | + | 5.42746i | −0.208074 | + | 0.196102i | ||||
\(767\) | 1.48780 | − | 0.858980i | 0.0537212 | − | 0.0310160i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 18.6970i | 0.674230i | 0.941463 | + | 0.337115i | \(0.109451\pi\) | ||||
−0.941463 | + | 0.337115i | \(0.890549\pi\) | |||||||
\(770\) | −26.3006 | + | 23.1373i | −0.947808 | + | 0.833810i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.15116 | − | 19.4144i | 0.0414313 | − | 0.698738i | ||||
\(773\) | 7.98344 | + | 13.8277i | 0.287144 | + | 0.497349i | 0.973127 | − | 0.230269i | \(-0.0739607\pi\) |
−0.685983 | + | 0.727618i | \(0.740627\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.657103 | − | 1.13814i | 0.0236038 | − | 0.0408830i | ||||
\(776\) | −28.9598 | + | 24.2228i | −1.03960 | + | 0.869546i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.92493 | + | 1.16451i | −0.176567 | + | 0.0417496i | ||||
\(779\) | 3.13007 | − | 5.42144i | 0.112146 | − | 0.194243i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 36.1169 | − | 20.8521i | 1.29236 | − | 0.746146i | ||||
\(782\) | −0.414216 | − | 0.124245i | −0.0148123 | − | 0.00444298i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 18.2645 | − | 21.2228i | 0.652304 | − | 0.757957i | ||||
\(785\) | −30.6154 | −1.09271 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.03059 | + | 4.05912i | −0.250614 | + | 0.144692i | −0.620045 | − | 0.784566i | \(-0.712886\pi\) |
0.369432 | + | 0.929258i | \(0.379552\pi\) | |||||||
\(788\) | −18.3656 | + | 27.8600i | −0.654248 | + | 0.992470i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.72330 | + | 0.643927i | −0.0968906 | + | 0.0229099i | ||||
\(791\) | 0.737739 | − | 1.18226i | 0.0262310 | − | 0.0420364i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.59999 | + | 14.8956i | −0.305395 | + | 0.528959i | ||||
\(794\) | 0.124027 | − | 0.116891i | 0.00440155 | − | 0.00414829i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −2.46897 | + | 41.6392i | −0.0875104 | + | 1.47586i | ||||
\(797\) | −16.4777 | −0.583672 | −0.291836 | − | 0.956468i | \(-0.594266\pi\) | ||||
−0.291836 | + | 0.956468i | \(0.594266\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 19.8017i | 0.700534i | ||||||||
\(800\) | −1.05874 | + | 0.783900i | −0.0374320 | + | 0.0277151i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 6.63216 | − | 6.25056i | 0.234190 | − | 0.220715i | ||||
\(803\) | 47.5032 | + | 27.4260i | 1.67635 | + | 0.967842i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.0335066 | − | 0.976895i | 0.00118095 | − | 0.0344310i | ||||
\(806\) | 3.74048 | + | 15.8192i | 0.131753 | + | 0.557209i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 10.3610 | − | 28.3281i | 0.364499 | − | 0.996578i | ||||
\(809\) | −0.395154 | − | 0.684427i | −0.0138929 | − | 0.0240632i | 0.858995 | − | 0.511983i | \(-0.171089\pi\) |
−0.872888 | + | 0.487920i | \(0.837756\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 34.7227i | 1.21928i | 0.792679 | + | 0.609639i | \(0.208686\pi\) | ||||
−0.792679 | + | 0.609639i | \(0.791314\pi\) | |||||||
\(812\) | 0.969317 | + | 2.11306i | 0.0340163 | + | 0.0741537i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 15.5462 | − | 51.8291i | 0.544894 | − | 1.81661i | ||||
\(815\) | 0.508459 | + | 0.880677i | 0.0178105 | + | 0.0308488i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.37991 | + | 2.52874i | 0.153234 | + | 0.0884695i | ||||
\(818\) | 4.51093 | − | 1.06661i | 0.157721 | − | 0.0372933i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 20.8185 | + | 41.5616i | 0.727015 | + | 1.45140i | ||||
\(821\) | −11.9605 | − | 6.90542i | −0.417425 | − | 0.241001i | 0.276550 | − | 0.961000i | \(-0.410809\pi\) |
−0.693975 | + | 0.719999i | \(0.744142\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −21.0708 | + | 12.1652i | −0.734481 | + | 0.424053i | −0.820059 | − | 0.572279i | \(-0.806060\pi\) |
0.0855784 | + | 0.996331i | \(0.472726\pi\) | |||||||
\(824\) | −6.92965 | + | 1.21066i | −0.241406 | + | 0.0421754i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.00981 | + | 2.99003i | −0.0351356 | + | 0.104036i | ||||
\(827\) | 8.66472 | 0.301302 | 0.150651 | − | 0.988587i | \(-0.451863\pi\) | ||||
0.150651 | + | 0.988587i | \(0.451863\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 14.7388 | + | 25.5284i | 0.511901 | + | 0.886638i | 0.999905 | + | 0.0137970i | \(0.00439186\pi\) |
−0.488004 | + | 0.872841i | \(0.662275\pi\) | |||||||
\(830\) | −24.3300 | − | 25.8154i | −0.844507 | − | 0.896065i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.87990 | − | 16.0379i | 0.0998427 | − | 0.556013i | ||||
\(833\) | −10.4961 | − | 7.06078i | −0.363669 | − | 0.244641i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −8.85645 | + | 15.3398i | −0.306490 | + | 0.530856i | ||||
\(836\) | −2.77570 | + | 4.21063i | −0.0959996 | + | 0.145628i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 11.7067 | − | 39.0288i | 0.404402 | − | 1.34823i | ||||
\(839\) | 31.9931 | 1.10452 | 0.552262 | − | 0.833670i | \(-0.313765\pi\) | ||||
0.552262 | + | 0.833670i | \(0.313765\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 28.8070 | 0.993344 | ||||||||
\(842\) | 6.19763 | − | 20.6621i | 0.213585 | − | 0.712065i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.92500 | + | 1.26898i | 0.0662613 | + | 0.0436803i | ||||
\(845\) | 9.66301 | − | 16.7368i | 0.332418 | − | 0.575765i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 9.18452 | + | 17.2477i | 0.315584 | + | 0.592639i | ||||
\(848\) | 16.7700 | + | 12.5395i | 0.575884 | + | 0.430608i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.408199 | + | 0.433120i | 0.0140011 | + | 0.0148559i | ||||
\(851\) | 0.754957 | + | 1.30762i | 0.0258796 | + | 0.0448248i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −15.1498 | −0.518721 | −0.259360 | − | 0.965781i | \(-0.583512\pi\) | ||||
−0.259360 | + | 0.965781i | \(0.583512\pi\) | |||||||
\(854\) | −6.21232 | − | 30.9801i | −0.212581 | − | 1.06012i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −44.5191 | + | 7.77782i | −1.52163 | + | 0.265840i | ||||
\(857\) | 29.8035 | − | 17.2071i | 1.01807 | − | 0.587782i | 0.104524 | − | 0.994522i | \(-0.466668\pi\) |
0.913544 | + | 0.406741i | \(0.133335\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −41.4956 | − | 23.9575i | −1.41581 | − | 0.817420i | −0.419885 | − | 0.907577i | \(-0.637930\pi\) |
−0.995928 | + | 0.0901577i | \(0.971263\pi\) | |||||||
\(860\) | −33.5771 | + | 16.8190i | −1.14497 | + | 0.573524i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 31.7856 | − | 7.51576i | 1.08262 | − | 0.255988i | ||||
\(863\) | 9.53504 | + | 5.50506i | 0.324576 | + | 0.187394i | 0.653431 | − | 0.756986i | \(-0.273329\pi\) |
−0.328854 | + | 0.944381i | \(0.606662\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.96210 | + | 10.3267i | 0.202718 | + | 0.351117i | ||||
\(866\) | 6.90680 | − | 23.0264i | 0.234703 | − | 0.782470i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −24.3538 | − | 17.2804i | −0.826623 | − | 0.586534i | ||||
\(869\) | 3.88602i | 0.131824i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 14.0058 | + | 24.2588i | 0.474570 | + | 0.821979i | ||||
\(872\) | 20.1447 | + | 7.36792i | 0.682184 | + | 0.249509i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.0323822 | − | 0.136951i | −0.00109534 | − | 0.00463243i | ||||
\(875\) | −16.0028 | + | 25.6452i | −0.540993 | + | 0.866967i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 35.3285 | + | 20.3969i | 1.19296 | + | 0.688755i | 0.958976 | − | 0.283486i | \(-0.0914909\pi\) |
0.233982 | + | 0.972241i | \(0.424824\pi\) | |||||||
\(878\) | −1.59081 | + | 1.49928i | −0.0536872 | + | 0.0505981i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −14.7603 | − | 34.4163i | −0.497570 | − | 1.16017i | ||||
\(881\) | − | 33.9401i | − | 1.14347i | −0.820438 | − | 0.571736i | \(-0.806270\pi\) | ||
0.820438 | − | 0.571736i | \(-0.193730\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −35.7900 | −1.20443 | −0.602214 | − | 0.798334i | \(-0.705715\pi\) | ||||
−0.602214 | + | 0.798334i | \(0.705715\pi\) | |||||||
\(884\) | −7.34868 | − | 0.435736i | −0.247163 | − | 0.0146554i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 26.2979 | − | 24.7848i | 0.883495 | − | 0.832661i | ||||
\(887\) | 7.60416 | − | 13.1708i | 0.255323 | − | 0.442232i | −0.709660 | − | 0.704544i | \(-0.751152\pi\) |
0.964983 | + | 0.262312i | \(0.0844849\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 17.8714 | + | 11.1519i | 0.599387 | + | 0.374021i | ||||
\(890\) | 50.4250 | − | 11.9231i | 1.69025 | − | 0.399662i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 16.8182 | + | 11.0868i | 0.563116 | + | 0.371213i | ||||
\(893\) | −5.58055 | + | 3.22193i | −0.186746 | + | 0.107818i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.99206 | −0.133440 | ||||||||
\(896\) | 15.4878 | + | 25.6150i | 0.517413 | + | 0.855736i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −21.5569 | − | 6.46600i | −0.719362 | − | 0.215773i | ||||
\(899\) | 2.14718 | − | 1.23967i | 0.0716124 | − | 0.0413454i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.73014 | − | 8.19284i | 0.157584 | − | 0.272943i | ||||
\(902\) | 62.8187 | − | 14.8536i | 2.09163 | − | 0.494570i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.955815 | + | 1.14274i | 0.0317899 | + | 0.0380069i | ||||
\(905\) | 16.0978 | − | 27.8821i | 0.535107 | − | 0.926833i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 11.5870 | + | 20.0694i | 0.384742 | + | 0.666392i | 0.991733 | − | 0.128316i | \(-0.0409573\pi\) |
−0.606992 | + | 0.794708i | \(0.707624\pi\) | |||||||
\(908\) | 18.6755 | + | 1.10735i | 0.619768 | + | 0.0367488i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −3.27152 | − | 16.3147i | −0.108450 | − | 0.540828i | ||||
\(911\) | 3.30496i | 0.109498i | 0.998500 | + | 0.0547492i | \(0.0174359\pi\) | ||||
−0.998500 | + | 0.0547492i | \(0.982564\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −42.6613 | + | 24.6305i | −1.41188 | + | 0.815151i | ||||
\(914\) | 14.6142 | − | 13.7733i | 0.483394 | − | 0.455581i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −47.6749 | + | 23.8807i | −1.57522 | + | 0.789042i | ||||
\(917\) | −15.9560 | + | 8.49665i | −0.526913 | + | 0.280584i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −20.9479 | − | 12.0943i | −0.691008 | − | 0.398953i | 0.112982 | − | 0.993597i | \(-0.463960\pi\) |
−0.803989 | + | 0.594644i | \(0.797293\pi\) | |||||||
\(920\) | 0.981378 | + | 0.358939i | 0.0323551 | + | 0.0118339i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −29.2417 | − | 8.77107i | −0.963023 | − | 0.288860i | ||||
\(923\) | 19.8101i | 0.652058i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 2.07804i | − | 0.0683256i | ||||||
\(926\) | 3.32589 | − | 11.0881i | 0.109296 | − | 0.364378i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −2.46923 | + | 0.282059i | −0.0810565 | + | 0.00925905i | ||||
\(929\) | −21.2034 | − | 12.2418i | −0.695660 | − | 0.401639i | 0.110069 | − | 0.993924i | \(-0.464893\pi\) |
−0.805729 | + | 0.592285i | \(0.798226\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.282057 | − | 4.10689i | 0.00924404 | − | 0.134598i | ||||
\(932\) | −31.6121 | + | 15.8348i | −1.03549 | + | 0.518685i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −22.7206 | − | 24.1077i | −0.743441 | − | 0.788828i | ||||
\(935\) | −14.6518 | + | 8.45924i | −0.479166 | + | 0.276647i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 29.2997i | − | 0.957180i | −0.878038 | − | 0.478590i | \(-0.841148\pi\) | ||
0.878038 | − | 0.478590i | \(-0.158852\pi\) | |||||||
\(938\) | −48.7530 | − | 16.4651i | −1.59184 | − | 0.537604i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 2.83217 | − | 47.7645i | 0.0923753 | − | 1.55791i | ||||
\(941\) | 0.623806 | + | 1.08046i | 0.0203355 | + | 0.0352221i | 0.876014 | − | 0.482286i | \(-0.160193\pi\) |
−0.855679 | + | 0.517508i | \(0.826860\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.900624 | + | 1.55993i | −0.0293284 | + | 0.0507982i | ||||
\(944\) | −2.70201 | − | 2.02038i | −0.0879429 | − | 0.0657579i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 12.0000 | + | 50.7504i | 0.390154 | + | 1.65004i | ||||
\(947\) | −20.4254 | + | 35.3778i | −0.663736 | + | 1.14962i | 0.315891 | + | 0.948796i | \(0.397697\pi\) |
−0.979626 | + | 0.200828i | \(0.935637\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −22.5648 | + | 13.0278i | −0.732483 | + | 0.422899i | ||||
\(950\) | −0.0556446 | + | 0.185512i | −0.00180535 | + | 0.00601881i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 10.6645 | − | 8.31573i | 0.345639 | − | 0.269515i | ||||
\(953\) | −35.0318 | −1.13479 | −0.567395 | − | 0.823446i | \(-0.692049\pi\) | ||||
−0.567395 | + | 0.823446i | \(0.692049\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −33.1385 | + | 19.1325i | −1.07234 | + | 0.619114i | ||||
\(956\) | 14.9463 | − | 22.6730i | 0.483399 | − | 0.733299i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.617047 | + | 2.60962i | 0.0199359 | + | 0.0843129i | ||||
\(959\) | −41.8692 | − | 1.43608i | −1.35203 | − | 0.0463733i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.423591 | + | 0.733681i | −0.0136642 | + | 0.0236671i | ||||
\(962\) | 17.6289 | + | 18.7052i | 0.568378 | + | 0.603078i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 42.1202 | + | 2.49749i | 1.35660 | + | 0.0804388i | ||||
\(965\) | 21.2316 | 0.683471 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 56.3266i | 1.81134i | 0.423981 | + | 0.905671i | \(0.360632\pi\) | ||||
−0.423981 | + | 0.905671i | \(0.639368\pi\) | |||||||
\(968\) | −20.5782 | + | 3.59517i | −0.661409 | + | 0.115553i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −28.2686 | − | 29.9944i | −0.907651 | − | 0.963064i | ||||
\(971\) | 28.8496 | + | 16.6563i | 0.925828 | + | 0.534527i | 0.885490 | − | 0.464659i | \(-0.153823\pi\) |
0.0403380 | + | 0.999186i | \(0.487157\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 34.2639 | + | 21.3809i | 1.09845 | + | 0.685439i | ||||
\(974\) | −7.52277 | + | 1.77877i | −0.241045 | + | 0.0569955i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 33.5418 | + | 3.99172i | 1.07365 | + | 0.127772i | ||||
\(977\) | −9.57425 | − | 16.5831i | −0.306308 | − | 0.530540i | 0.671244 | − | 0.741236i | \(-0.265760\pi\) |
−0.977552 | + | 0.210696i | \(0.932427\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 71.9542i | − | 2.29967i | ||||||
\(980\) | 24.3082 | + | 18.5328i | 0.776499 | + | 0.592009i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −34.9161 | − | 10.4731i | −1.11422 | − | 0.334210i | ||||
\(983\) | 11.5610 | + | 20.0242i | 0.368738 | + | 0.638672i | 0.989368 | − | 0.145431i | \(-0.0464568\pi\) |
−0.620631 | + | 0.784103i | \(0.713123\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −31.5478 | − | 18.2141i | −1.00520 | − | 0.580350i | ||||
\(986\) | 0.258368 | + | 1.09269i | 0.00822811 | + | 0.0347983i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.07290 | − | 2.14191i | −0.0341335 | − | 0.0681434i | ||||
\(989\) | −1.26024 | − | 0.727602i | −0.0400734 | − | 0.0231364i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.05545 | − | 4.65082i | 0.255890 | − | 0.147738i | −0.366568 | − | 0.930391i | \(-0.619467\pi\) |
0.622458 | + | 0.782653i | \(0.286134\pi\) | |||||||
\(992\) | 25.6564 | − | 18.9963i | 0.814592 | − | 0.603132i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −24.0372 | − | 27.3235i | −0.762413 | − | 0.866649i | ||||
\(995\) | −45.5368 | −1.44361 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −5.43145 | − | 9.40755i | −0.172016 | − | 0.297940i | 0.767109 | − | 0.641517i | \(-0.221695\pi\) |
−0.939125 | + | 0.343577i | \(0.888361\pi\) | |||||||
\(998\) | −2.23474 | + | 2.10616i | −0.0707395 | + | 0.0666693i | ||||
\(999\) | 0 | 0 |
(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 | 504.2.bk.b.19.15 | yes | 32 | |
3.2 | odd | 2 | inner | 504.2.bk.b.19.2 | ✓ | 32 | |
4.3 | odd | 2 | 2016.2.bs.b.271.4 | 32 | |||
7.3 | odd | 6 | inner | 504.2.bk.b.451.4 | yes | 32 | |
8.3 | odd | 2 | inner | 504.2.bk.b.19.4 | yes | 32 | |
8.5 | even | 2 | 2016.2.bs.b.271.14 | 32 | |||
12.11 | even | 2 | 2016.2.bs.b.271.13 | 32 | |||
21.17 | even | 6 | inner | 504.2.bk.b.451.13 | yes | 32 | |
24.5 | odd | 2 | 2016.2.bs.b.271.3 | 32 | |||
24.11 | even | 2 | inner | 504.2.bk.b.19.13 | yes | 32 | |
28.3 | even | 6 | 2016.2.bs.b.1711.14 | 32 | |||
56.3 | even | 6 | inner | 504.2.bk.b.451.15 | yes | 32 | |
56.45 | odd | 6 | 2016.2.bs.b.1711.4 | 32 | |||
84.59 | odd | 6 | 2016.2.bs.b.1711.3 | 32 | |||
168.59 | odd | 6 | inner | 504.2.bk.b.451.2 | yes | 32 | |
168.101 | even | 6 | 2016.2.bs.b.1711.13 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.bk.b.19.2 | ✓ | 32 | 3.2 | odd | 2 | inner | |
504.2.bk.b.19.4 | yes | 32 | 8.3 | odd | 2 | inner | |
504.2.bk.b.19.13 | yes | 32 | 24.11 | even | 2 | inner | |
504.2.bk.b.19.15 | yes | 32 | 1.1 | even | 1 | trivial | |
504.2.bk.b.451.2 | yes | 32 | 168.59 | odd | 6 | inner | |
504.2.bk.b.451.4 | yes | 32 | 7.3 | odd | 6 | inner | |
504.2.bk.b.451.13 | yes | 32 | 21.17 | even | 6 | inner | |
504.2.bk.b.451.15 | yes | 32 | 56.3 | even | 6 | inner | |
2016.2.bs.b.271.3 | 32 | 24.5 | odd | 2 | |||
2016.2.bs.b.271.4 | 32 | 4.3 | odd | 2 | |||
2016.2.bs.b.271.13 | 32 | 12.11 | even | 2 | |||
2016.2.bs.b.271.14 | 32 | 8.5 | even | 2 | |||
2016.2.bs.b.1711.3 | 32 | 84.59 | odd | 6 | |||
2016.2.bs.b.1711.4 | 32 | 56.45 | odd | 6 | |||
2016.2.bs.b.1711.13 | 32 | 168.101 | even | 6 | |||
2016.2.bs.b.1711.14 | 32 | 28.3 | even | 6 |