Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(17,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.bl (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 395.11 | ||
Character | \(\chi\) | \(=\) | 882.395 |
Dual form | 882.2.bl.a.719.11 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{1}{42}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.930874 | + | 0.365341i | 0.658227 | + | 0.258335i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.733052 | + | 0.680173i | 0.366526 | + | 0.340086i | ||||
\(5\) | −3.09036 | − | 2.10697i | −1.38205 | − | 0.942266i | −0.999834 | − | 0.0181934i | \(-0.994209\pi\) |
−0.382216 | − | 0.924073i | \(-0.624839\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.605636 | + | 2.57550i | −0.228909 | + | 0.973448i | ||||
\(8\) | 0.433884 | + | 0.900969i | 0.153401 | + | 0.318541i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.10697 | − | 3.09036i | −0.666283 | − | 0.977257i | ||||
\(11\) | −0.198018 | − | 1.31377i | −0.0597048 | − | 0.396115i | −0.998645 | − | 0.0520356i | \(-0.983429\pi\) |
0.938940 | − | 0.344080i | \(-0.111809\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.18974 | − | 4.13868i | 1.43938 | − | 1.14786i | 0.476087 | − | 0.879398i | \(-0.342055\pi\) |
0.963289 | − | 0.268466i | \(-0.0865166\pi\) | |||||||
\(14\) | −1.50471 | + | 2.17620i | −0.402150 | + | 0.581615i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.0747301 | + | 0.997204i | 0.0186825 | + | 0.249301i | ||||
\(17\) | 3.42802 | + | 1.05740i | 0.831418 | + | 0.256458i | 0.681110 | − | 0.732181i | \(-0.261497\pi\) |
0.150307 | + | 0.988639i | \(0.451974\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.36887 | − | 3.67707i | 1.46112 | − | 0.843578i | 0.462056 | − | 0.886851i | \(-0.347112\pi\) |
0.999063 | + | 0.0432727i | \(0.0137784\pi\) | |||||||
\(20\) | −0.832289 | − | 3.64650i | −0.186106 | − | 0.815382i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.295642 | − | 1.29529i | 0.0630312 | − | 0.276158i | ||||
\(23\) | −1.67066 | − | 5.41615i | −0.348357 | − | 1.12934i | −0.945064 | − | 0.326886i | \(-0.894001\pi\) |
0.596707 | − | 0.802459i | \(-0.296475\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.28429 | + | 8.36823i | 0.656858 | + | 1.67365i | ||||
\(26\) | 6.34303 | − | 1.95656i | 1.24397 | − | 0.383714i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.19575 | + | 1.47604i | −0.414957 | + | 0.278945i | ||||
\(29\) | 6.48494 | − | 1.48014i | 1.20422 | − | 0.274856i | 0.427100 | − | 0.904205i | \(-0.359535\pi\) |
0.777123 | + | 0.629349i | \(0.216678\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.438536 | − | 0.253189i | −0.0787634 | − | 0.0454741i | 0.460101 | − | 0.887867i | \(-0.347813\pi\) |
−0.538864 | + | 0.842392i | \(0.681147\pi\) | |||||||
\(32\) | −0.294755 | + | 0.955573i | −0.0521058 | + | 0.168923i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.80474 | + | 2.23671i | 0.481009 | + | 0.383592i | ||||
\(35\) | 7.29814 | − | 6.68316i | 1.23361 | − | 1.12966i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.93416 | + | 1.79464i | −0.317974 | + | 0.295037i | −0.822970 | − | 0.568085i | \(-0.807684\pi\) |
0.504996 | + | 0.863122i | \(0.331494\pi\) | |||||||
\(38\) | 7.27200 | − | 1.09608i | 1.17967 | − | 0.177807i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.557459 | − | 3.69850i | 0.0881420 | − | 0.584784i | ||||
\(41\) | −6.06006 | + | 2.91837i | −0.946423 | + | 0.455773i | −0.842431 | − | 0.538805i | \(-0.818876\pi\) |
−0.103992 | + | 0.994578i | \(0.533162\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.521418 | − | 0.251102i | −0.0795156 | − | 0.0382927i | 0.393703 | − | 0.919238i | \(-0.371194\pi\) |
−0.473219 | + | 0.880945i | \(0.656908\pi\) | |||||||
\(44\) | 0.748430 | − | 1.09775i | 0.112830 | − | 0.165491i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.423567 | − | 5.65211i | 0.0624516 | − | 0.833358i | ||||
\(47\) | 2.91481 | − | 7.42682i | 0.425169 | − | 1.08331i | −0.544472 | − | 0.838779i | \(-0.683270\pi\) |
0.969641 | − | 0.244534i | \(-0.0786349\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.26641 | − | 3.11963i | −0.895201 | − | 0.445662i | ||||
\(50\) | 8.98965i | 1.27133i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 6.61937 | + | 0.496053i | 0.917942 | + | 0.0687902i | ||||
\(53\) | −5.04360 | + | 5.43570i | −0.692791 | + | 0.746651i | −0.977262 | − | 0.212033i | \(-0.931991\pi\) |
0.284471 | + | 0.958685i | \(0.408182\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.15612 | + | 4.47723i | −0.290731 | + | 0.603709i | ||||
\(56\) | −2.58322 | + | 0.571808i | −0.345198 | + | 0.0764111i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 6.57742 | + | 0.991386i | 0.863657 | + | 0.130175i | ||||
\(59\) | 10.7024 | − | 7.29681i | 1.39334 | − | 0.949963i | 0.393814 | − | 0.919190i | \(-0.371156\pi\) |
0.999526 | − | 0.0307729i | \(-0.00979688\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.41389 | − | 2.60156i | −0.309067 | − | 0.333095i | 0.559348 | − | 0.828933i | \(-0.311052\pi\) |
−0.868415 | + | 0.495838i | \(0.834861\pi\) | |||||||
\(62\) | −0.315721 | − | 0.395902i | −0.0400967 | − | 0.0502796i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.623490 | + | 0.781831i | −0.0779362 | + | 0.0977289i | ||||
\(65\) | −24.7583 | + | 1.85538i | −3.07088 | + | 0.230131i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.52583 | + | 7.83896i | −0.552918 | + | 0.957682i | 0.445144 | + | 0.895459i | \(0.353152\pi\) |
−0.998062 | + | 0.0622230i | \(0.980181\pi\) | |||||||
\(68\) | 1.79370 | + | 3.10678i | 0.217518 | + | 0.376752i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 9.23528 | − | 3.55487i | 1.10383 | − | 0.424889i | ||||
\(71\) | −5.14067 | − | 1.17332i | −0.610086 | − | 0.139248i | −0.0936946 | − | 0.995601i | \(-0.529868\pi\) |
−0.516391 | + | 0.856353i | \(0.672725\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.00623 | − | 1.96480i | 0.585935 | − | 0.229962i | −0.0538085 | − | 0.998551i | \(-0.517136\pi\) |
0.639743 | + | 0.768589i | \(0.279041\pi\) | |||||||
\(74\) | −2.45611 | + | 0.963954i | −0.285517 | + | 0.112057i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.16976 | + | 1.63645i | 0.822428 | + | 0.187714i | ||||
\(77\) | 3.50353 | + | 0.285668i | 0.399265 | + | 0.0325549i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.310444 | + | 0.537704i | 0.0349277 | + | 0.0604965i | 0.882961 | − | 0.469447i | \(-0.155547\pi\) |
−0.848033 | + | 0.529943i | \(0.822213\pi\) | |||||||
\(80\) | 1.87014 | − | 3.23917i | 0.209088 | − | 0.362150i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.70735 | + | 0.502647i | −0.740703 | + | 0.0555080i | ||||
\(83\) | 3.06487 | − | 3.84322i | 0.336413 | − | 0.421848i | −0.584636 | − | 0.811296i | \(-0.698763\pi\) |
0.921049 | + | 0.389448i | \(0.127334\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.36590 | − | 10.4905i | −0.907409 | − | 1.13786i | ||||
\(86\) | −0.393637 | − | 0.424240i | −0.0424470 | − | 0.0457469i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.09775 | − | 0.748430i | 0.117020 | − | 0.0797829i | ||||
\(89\) | −5.64124 | − | 0.850280i | −0.597970 | − | 0.0901295i | −0.156919 | − | 0.987611i | \(-0.550156\pi\) |
−0.441051 | + | 0.897482i | \(0.645394\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.51608 | + | 15.8727i | 0.787900 | + | 1.66391i | ||||
\(92\) | 2.45924 | − | 5.10666i | 0.256393 | − | 0.532406i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 5.42664 | − | 5.84853i | 0.559715 | − | 0.603230i | ||||
\(95\) | −27.4296 | − | 2.05556i | −2.81422 | − | 0.210896i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 16.8856i | 1.71448i | 0.514919 | + | 0.857239i | \(0.327822\pi\) | ||||
−0.514919 | + | 0.857239i | \(0.672178\pi\) | |||||||
\(98\) | −4.69351 | − | 5.19336i | −0.474116 | − | 0.524609i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.28429 | + | 8.36823i | −0.328429 | + | 0.836823i | ||||
\(101\) | −1.10185 | + | 14.7031i | −0.109638 | + | 1.46302i | 0.622907 | + | 0.782296i | \(0.285952\pi\) |
−0.732544 | + | 0.680719i | \(0.761667\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.58036 | − | 12.5851i | 0.845448 | − | 1.24005i | −0.123392 | − | 0.992358i | \(-0.539377\pi\) |
0.968840 | − | 0.247687i | \(-0.0796705\pi\) | |||||||
\(104\) | 5.98057 | + | 2.88009i | 0.586443 | + | 0.282416i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.68084 | + | 3.21732i | −0.648900 | + | 0.312494i | ||||
\(107\) | −0.618296 | + | 4.10213i | −0.0597729 | + | 0.396567i | 0.938860 | + | 0.344299i | \(0.111883\pi\) |
−0.998633 | + | 0.0522687i | \(0.983355\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.43855 | − | 0.367552i | 0.233570 | − | 0.0352051i | −0.0312139 | − | 0.999513i | \(-0.509937\pi\) |
0.264784 | + | 0.964308i | \(0.414699\pi\) | |||||||
\(110\) | −3.64279 | + | 3.38001i | −0.347326 | + | 0.322272i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.61356 | − | 0.411475i | −0.246958 | − | 0.0388808i | ||||
\(113\) | 2.79551 | + | 2.22934i | 0.262979 | + | 0.209719i | 0.746098 | − | 0.665836i | \(-0.231925\pi\) |
−0.483119 | + | 0.875555i | \(0.660496\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.24873 | + | 20.2579i | −0.582697 | + | 1.88906i | ||||
\(116\) | 5.76055 | + | 3.32586i | 0.534854 | + | 0.308798i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 12.6285 | − | 2.88236i | 1.16254 | − | 0.265343i | ||||
\(119\) | −4.79948 | + | 8.18847i | −0.439968 | + | 0.750636i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.82453 | − | 2.72201i | 0.802230 | − | 0.247455i | ||||
\(122\) | −1.29657 | − | 3.30361i | −0.117386 | − | 0.299095i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.149257 | − | 0.483881i | −0.0134037 | − | 0.0434538i | ||||
\(125\) | 3.32054 | − | 14.5483i | 0.296998 | − | 1.30124i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.47918 | + | 6.48070i | 0.131256 | + | 0.575069i | 0.997190 | + | 0.0749114i | \(0.0238674\pi\) |
−0.865934 | + | 0.500157i | \(0.833275\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −23.7247 | − | 7.31809i | −2.08079 | − | 0.641839i | ||||
\(131\) | 0.634486 | + | 8.46663i | 0.0554353 | + | 0.739733i | 0.953792 | + | 0.300467i | \(0.0971424\pi\) |
−0.898357 | + | 0.439266i | \(0.855239\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.61308 | + | 18.6300i | 0.486715 | + | 1.61543i | ||||
\(134\) | −7.07687 | + | 5.64361i | −0.611348 | + | 0.487534i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.534674 | + | 3.54733i | 0.0458479 | + | 0.304181i | ||||
\(137\) | 7.37758 | + | 10.8209i | 0.630309 | + | 0.924493i | 0.999989 | − | 0.00466562i | \(-0.00148512\pi\) |
−0.369680 | + | 0.929159i | \(0.620533\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.70819 | − | 5.62362i | −0.229706 | − | 0.476989i | 0.753977 | − | 0.656901i | \(-0.228133\pi\) |
−0.983683 | + | 0.179912i | \(0.942419\pi\) | |||||||
\(140\) | 9.89562 | + | 0.0648899i | 0.836333 | + | 0.00548420i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −4.35665 | − | 2.97032i | −0.365602 | − | 0.249263i | ||||
\(143\) | −6.46492 | − | 5.99857i | −0.540624 | − | 0.501626i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −23.1594 | − | 9.08940i | −1.92328 | − | 0.754834i | ||||
\(146\) | 5.37799 | 0.445085 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.63850 | −0.216884 | ||||||||
\(149\) | 17.0329 | + | 6.68493i | 1.39539 | + | 0.547651i | 0.939550 | − | 0.342411i | \(-0.111243\pi\) |
0.455841 | + | 0.890061i | \(0.349339\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.4737 | − | 10.6460i | −0.933717 | − | 0.866363i | 0.0575354 | − | 0.998343i | \(-0.481676\pi\) |
−0.991252 | + | 0.131981i | \(0.957866\pi\) | |||||||
\(152\) | 6.07628 | + | 4.14274i | 0.492851 | + | 0.336020i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.15698 | + | 1.54590i | 0.254397 | + | 0.124573i | ||||
\(155\) | 0.821772 | + | 1.70643i | 0.0660063 | + | 0.137064i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −12.1653 | − | 17.8432i | −0.970898 | − | 1.42405i | −0.904608 | − | 0.426245i | \(-0.859836\pi\) |
−0.0662902 | − | 0.997800i | \(-0.521116\pi\) | |||||||
\(158\) | 0.0925385 | + | 0.613953i | 0.00736197 | + | 0.0488435i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.92426 | − | 2.33202i | 0.231183 | − | 0.184363i | ||||
\(161\) | 14.9611 | − | 1.02257i | 1.17910 | − | 0.0805899i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.907304 | − | 12.1071i | −0.0710655 | − | 0.948304i | −0.912799 | − | 0.408410i | \(-0.866083\pi\) |
0.841733 | − | 0.539894i | \(-0.181536\pi\) | |||||||
\(164\) | −6.42734 | − | 1.98257i | −0.501891 | − | 0.154813i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.25709 | − | 2.45783i | 0.330414 | − | 0.190765i | ||||
\(167\) | −3.75539 | − | 16.4534i | −0.290601 | − | 1.27320i | −0.883692 | − | 0.468069i | \(-0.844950\pi\) |
0.593091 | − | 0.805135i | \(-0.297907\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.91198 | − | 30.2833i | 0.531690 | − | 2.32949i | ||||
\(170\) | −3.95498 | − | 12.8217i | −0.303333 | − | 0.983383i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.211434 | − | 0.538725i | −0.0161217 | − | 0.0410774i | ||||
\(173\) | −13.5671 | + | 4.18488i | −1.03148 | + | 0.318171i | −0.763880 | − | 0.645358i | \(-0.776708\pi\) |
−0.267604 | + | 0.963529i | \(0.586232\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −23.5415 | + | 3.39058i | −1.77957 | + | 0.256304i | ||||
\(176\) | 1.29529 | − | 0.295642i | 0.0976365 | − | 0.0222849i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −4.94064 | − | 2.85248i | −0.370317 | − | 0.213802i | ||||
\(179\) | 2.62184 | − | 8.49980i | 0.195966 | − | 0.635305i | −0.803248 | − | 0.595645i | \(-0.796896\pi\) |
0.999213 | − | 0.0396597i | \(-0.0126274\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.67499 | − | 2.93070i | −0.273160 | − | 0.217837i | 0.477323 | − | 0.878728i | \(-0.341607\pi\) |
−0.750482 | + | 0.660891i | \(0.770179\pi\) | |||||||
\(182\) | 1.19757 | + | 17.5214i | 0.0887695 | + | 1.29878i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.15491 | − | 3.85519i | 0.306304 | − | 0.284208i | ||||
\(185\) | 9.75850 | − | 1.47086i | 0.717459 | − | 0.108140i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.710371 | − | 4.71300i | 0.0519475 | − | 0.344649i | ||||
\(188\) | 7.18823 | − | 3.46167i | 0.524255 | − | 0.252468i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −24.7825 | − | 11.9346i | −1.79791 | − | 0.865829i | ||||
\(191\) | −3.85118 | + | 5.64865i | −0.278662 | + | 0.408722i | −0.939898 | − | 0.341456i | \(-0.889080\pi\) |
0.661236 | + | 0.750178i | \(0.270032\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.56213 | + | 20.8451i | −0.112444 | + | 1.50047i | 0.600714 | + | 0.799464i | \(0.294883\pi\) |
−0.713159 | + | 0.701003i | \(0.752736\pi\) | |||||||
\(194\) | −6.16902 | + | 15.7184i | −0.442910 | + | 1.12852i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.47171 | − | 6.54909i | −0.176551 | − | 0.467792i | ||||
\(197\) | − | 9.48752i | − | 0.675958i | −0.941154 | − | 0.337979i | \(-0.890257\pi\) | ||
0.941154 | − | 0.337979i | \(-0.109743\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.6915 | + | 1.32579i | 1.25411 | + | 0.0939829i | 0.685164 | − | 0.728389i | \(-0.259730\pi\) |
0.568951 | + | 0.822372i | \(0.307349\pi\) | |||||||
\(200\) | −6.11452 | + | 6.58988i | −0.432362 | + | 0.465975i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.39733 | + | 13.2842i | −0.450115 | + | 0.934673i | ||||
\(203\) | −0.115400 | + | 17.5984i | −0.00809952 | + | 1.23517i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 24.8767 | + | 3.74956i | 1.73746 | + | 0.261881i | ||||
\(206\) | 12.5851 | − | 8.58036i | 0.876844 | − | 0.597822i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.51494 | + | 4.86595i | 0.313055 | + | 0.337393i | ||||
\(209\) | −6.09196 | − | 7.63908i | −0.421390 | − | 0.528406i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.16103 | + | 6.47172i | −0.355300 | + | 0.445532i | −0.927074 | − | 0.374880i | \(-0.877684\pi\) |
0.571774 | + | 0.820411i | \(0.306255\pi\) | |||||||
\(212\) | −7.39443 | + | 0.554136i | −0.507852 | + | 0.0380582i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.07423 | + | 3.59267i | −0.141791 | + | 0.245590i | ||||
\(215\) | 1.08231 | + | 1.87461i | 0.0738126 | + | 0.127847i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.917682 | − | 0.976110i | 0.0622963 | − | 0.0662626i | ||||
\(218\) | 2.40426 | + | 0.548757i | 0.162837 | + | 0.0371665i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.62584 | + | 1.81551i | −0.311874 | + | 0.122401i | ||||
\(221\) | 22.1668 | − | 8.69984i | 1.49110 | − | 0.585214i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −23.3539 | − | 5.33037i | −1.56389 | − | 0.356948i | −0.649045 | − | 0.760750i | \(-0.724831\pi\) |
−0.914847 | + | 0.403802i | \(0.867689\pi\) | |||||||
\(224\) | −2.28256 | − | 1.33787i | −0.152510 | − | 0.0893903i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.78779 | + | 3.09655i | 0.118922 | + | 0.205979i | ||||
\(227\) | −1.11398 | + | 1.92946i | −0.0739372 | + | 0.128063i | −0.900624 | − | 0.434600i | \(-0.856890\pi\) |
0.826686 | + | 0.562663i | \(0.190223\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.0762 | − | 0.979928i | 0.864102 | − | 0.0647555i | 0.364699 | − | 0.931125i | \(-0.381172\pi\) |
0.499403 | + | 0.866370i | \(0.333553\pi\) | |||||||
\(230\) | −13.2178 | + | 16.5746i | −0.871557 | + | 1.09290i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.14727 | + | 5.20052i | 0.272282 | + | 0.341431i | ||||
\(233\) | −4.53465 | − | 4.88719i | −0.297075 | − | 0.320171i | 0.566821 | − | 0.823841i | \(-0.308173\pi\) |
−0.863896 | + | 0.503670i | \(0.831983\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −24.6559 | + | 16.8101i | −1.60837 | + | 1.09657i | ||||
\(236\) | 12.8085 | + | 1.93058i | 0.833765 | + | 0.125670i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −7.45930 | + | 5.86899i | −0.483514 | + | 0.380430i | ||||
\(239\) | −3.51602 | + | 7.30108i | −0.227432 | + | 0.472268i | −0.983190 | − | 0.182583i | \(-0.941554\pi\) |
0.755758 | + | 0.654851i | \(0.227269\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.1078 | + | 15.2046i | −0.908766 | + | 0.979417i | −0.999865 | − | 0.0164248i | \(-0.994772\pi\) |
0.0910989 | + | 0.995842i | \(0.470962\pi\) | |||||||
\(242\) | 9.20899 | + | 0.690118i | 0.591976 | + | 0.0443625i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 3.54894i | − | 0.227197i | ||||||
\(245\) | 12.7925 | + | 22.8439i | 0.817281 | + | 1.45945i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 17.8346 | − | 45.4418i | 1.13479 | − | 2.89139i | ||||
\(248\) | 0.0378417 | − | 0.504962i | 0.00240295 | − | 0.0320651i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 8.40608 | − | 12.3295i | 0.531647 | − | 0.779783i | ||||
\(251\) | −13.5118 | − | 6.50696i | −0.852859 | − | 0.410715i | −0.0442213 | − | 0.999022i | \(-0.514081\pi\) |
−0.808638 | + | 0.588306i | \(0.799795\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.78473 | + | 3.26735i | −0.426552 | + | 0.205417i | ||||
\(254\) | −0.990738 | + | 6.57312i | −0.0621644 | + | 0.412434i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.988831 | + | 0.149042i | −0.0618019 | + | 0.00931514i | ||||
\(257\) | −9.60367 | + | 8.91091i | −0.599061 | + | 0.555847i | −0.920331 | − | 0.391140i | \(-0.872081\pi\) |
0.321270 | + | 0.946988i | \(0.395890\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.45069 | − | 6.06833i | −0.214416 | − | 0.377068i | ||||
\(260\) | −19.4111 | − | 15.4798i | −1.20382 | − | 0.960017i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.50258 | + | 8.11316i | −0.154610 | + | 0.501233i | ||||
\(263\) | 23.4562 | + | 13.5424i | 1.44637 | + | 0.835062i | 0.998263 | − | 0.0589181i | \(-0.0187651\pi\) |
0.448107 | + | 0.893980i | \(0.352098\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 27.0394 | − | 6.17157i | 1.66102 | − | 0.379116i | ||||
\(266\) | −1.58124 | + | 19.3929i | −0.0969520 | + | 1.18905i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −8.64952 | + | 2.66802i | −0.528353 | + | 0.162975i | ||||
\(269\) | 8.80775 | + | 22.4418i | 0.537018 | + | 1.36830i | 0.899750 | + | 0.436406i | \(0.143749\pi\) |
−0.362732 | + | 0.931894i | \(0.618156\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.209571 | − | 0.679413i | −0.0127305 | − | 0.0412714i | 0.948985 | − | 0.315322i | \(-0.102113\pi\) |
−0.961715 | + | 0.274051i | \(0.911636\pi\) | |||||||
\(272\) | −0.798272 | + | 3.49746i | −0.0484023 | + | 0.212064i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.91427 | + | 12.7682i | 0.176057 | + | 0.771358i | ||||
\(275\) | 10.3435 | − | 5.97185i | 0.623739 | − | 0.360116i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.3609 | − | 3.81284i | −0.742696 | − | 0.229091i | −0.0997604 | − | 0.995011i | \(-0.531808\pi\) |
−0.642936 | + | 0.765920i | \(0.722284\pi\) | |||||||
\(278\) | −0.466446 | − | 6.22429i | −0.0279756 | − | 0.373308i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 9.18787 | + | 3.67568i | 0.549080 | + | 0.219664i | ||||
\(281\) | −11.5083 | + | 9.17758i | −0.686529 | + | 0.547489i | −0.903446 | − | 0.428701i | \(-0.858971\pi\) |
0.216917 | + | 0.976190i | \(0.430400\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.44972 | + | 22.8874i | 0.205065 | + | 1.36052i | 0.820192 | + | 0.572088i | \(0.193866\pi\) |
−0.615128 | + | 0.788427i | \(0.710896\pi\) | |||||||
\(284\) | −2.97032 | − | 4.35665i | −0.176256 | − | 0.258520i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.82650 | − | 7.94582i | −0.226266 | − | 0.469846i | ||||
\(287\) | −3.84608 | − | 17.3752i | −0.227027 | − | 1.02562i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.41283 | − | 2.32683i | −0.200755 | − | 0.136872i | ||||
\(290\) | −18.2378 | − | 16.9222i | −1.07096 | − | 0.993704i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.00623 | + | 1.96480i | 0.292967 | + | 0.114981i | ||||
\(293\) | −9.28442 | −0.542401 | −0.271201 | − | 0.962523i | \(-0.587421\pi\) | ||||
−0.271201 | + | 0.962523i | \(0.587421\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −48.4486 | −2.82079 | ||||||||
\(296\) | −2.45611 | − | 0.963954i | −0.142759 | − | 0.0560287i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 13.4132 | + | 12.4456i | 0.777007 | + | 0.720957i | ||||
\(299\) | −31.0860 | − | 21.1941i | −1.79775 | − | 1.22569i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.962503 | − | 1.19084i | 0.0554777 | − | 0.0686387i | ||||
\(302\) | −6.79113 | − | 14.1019i | −0.390786 | − | 0.811475i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4.14274 | + | 6.07628i | 0.237602 | + | 0.348498i | ||||
\(305\) | 1.97839 | + | 13.1257i | 0.113282 | + | 0.751578i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −15.5409 | + | 12.3935i | −0.886968 | + | 0.707334i | −0.956962 | − | 0.290214i | \(-0.906274\pi\) |
0.0699936 | + | 0.997547i | \(0.477702\pi\) | |||||||
\(308\) | 2.37397 | + | 2.59242i | 0.135269 | + | 0.147717i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.141538 | + | 1.88870i | 0.00803883 | + | 0.107271i | ||||
\(311\) | 9.41517 | + | 2.90419i | 0.533885 | + | 0.164682i | 0.549963 | − | 0.835189i | \(-0.314642\pi\) |
−0.0160780 | + | 0.999871i | \(0.505118\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.03887 | − | 0.599790i | 0.0587202 | − | 0.0339021i | −0.470352 | − | 0.882479i | \(-0.655873\pi\) |
0.529073 | + | 0.848577i | \(0.322540\pi\) | |||||||
\(314\) | −4.80550 | − | 21.0543i | −0.271190 | − | 1.18816i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.138161 | + | 0.605321i | −0.00777214 | + | 0.0340520i | ||||
\(317\) | 6.04233 | + | 19.5887i | 0.339371 | + | 1.10021i | 0.951032 | + | 0.309094i | \(0.100026\pi\) |
−0.611661 | + | 0.791120i | \(0.709498\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.22870 | − | 8.22659i | −0.180773 | − | 0.460601i | ||||
\(320\) | 3.57410 | − | 1.10247i | 0.199799 | − | 0.0616297i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 14.3005 | + | 4.51402i | 0.796935 | + | 0.251557i | ||||
\(323\) | 25.7208 | − | 5.87060i | 1.43114 | − | 0.326649i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 51.6781 | + | 29.8363i | 2.86658 | + | 1.65502i | ||||
\(326\) | 3.57865 | − | 11.6017i | 0.198203 | − | 0.642558i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −5.25872 | − | 4.19369i | −0.290365 | − | 0.231558i | ||||
\(329\) | 17.3625 | + | 12.0050i | 0.957223 | + | 0.661860i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.8142 | − | 10.9620i | 0.649370 | − | 0.602527i | −0.285131 | − | 0.958489i | \(-0.592037\pi\) |
0.934501 | + | 0.355962i | \(0.115847\pi\) | |||||||
\(332\) | 4.86076 | − | 0.732642i | 0.266769 | − | 0.0402089i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.51532 | − | 16.6881i | 0.137632 | − | 0.913130i | ||||
\(335\) | 30.5029 | − | 14.6894i | 1.66655 | − | 0.802569i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.56292 | + | 4.60526i | 0.520925 | + | 0.250864i | 0.675820 | − | 0.737067i | \(-0.263790\pi\) |
−0.154895 | + | 0.987931i | \(0.549504\pi\) | |||||||
\(338\) | 17.4979 | − | 25.6647i | 0.951762 | − | 1.39598i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.00272 | − | 13.3803i | 0.0543800 | − | 0.725651i | ||||
\(341\) | −0.245793 | + | 0.626270i | −0.0133104 | + | 0.0339144i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 11.8298 | − | 14.2498i | 0.638748 | − | 0.769416i | ||||
\(344\) | − | 0.578731i | − | 0.0312031i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −14.1581 | − | 1.06100i | −0.761146 | − | 0.0570400i | ||||
\(347\) | −19.5687 | + | 21.0900i | −1.05050 | + | 1.13217i | −0.0595111 | + | 0.998228i | \(0.518954\pi\) |
−0.990989 | + | 0.133942i | \(0.957236\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.3948 | − | 23.6615i | 0.609949 | − | 1.26657i | −0.335879 | − | 0.941905i | \(-0.609033\pi\) |
0.945828 | − | 0.324668i | \(-0.105252\pi\) | |||||||
\(350\) | −23.1529 | − | 5.44446i | −1.23757 | − | 0.291019i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.31377 | + | 0.198018i | 0.0700240 | + | 0.0105544i | ||||
\(353\) | 10.1099 | − | 6.89285i | 0.538098 | − | 0.366869i | −0.263568 | − | 0.964641i | \(-0.584899\pi\) |
0.801666 | + | 0.597772i | \(0.203947\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 13.4144 | + | 14.4572i | 0.711961 | + | 0.767311i | ||||
\(356\) | −3.55698 | − | 4.46032i | −0.188520 | − | 0.236396i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.54593 | − | 6.95437i | 0.293111 | − | 0.367550i | ||||
\(359\) | −19.5910 | + | 1.46814i | −1.03397 | + | 0.0774855i | −0.580889 | − | 0.813983i | \(-0.697295\pi\) |
−0.453083 | + | 0.891468i | \(0.649676\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.5417 | − | 30.3831i | 0.923247 | − | 1.59911i | ||||
\(362\) | −2.35024 | − | 4.07074i | −0.123526 | − | 0.213953i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −5.28652 | + | 16.7478i | −0.277089 | + | 0.877822i | ||||
\(365\) | −19.6108 | − | 4.47604i | −1.02648 | − | 0.234287i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.84582 | − | 3.07926i | 0.409548 | − | 0.160736i | −0.151618 | − | 0.988439i | \(-0.548448\pi\) |
0.561166 | + | 0.827703i | \(0.310353\pi\) | |||||||
\(368\) | 5.27615 | − | 2.07074i | 0.275039 | − | 0.107945i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 9.62130 | + | 2.19600i | 0.500187 | + | 0.114165i | ||||
\(371\) | −10.9451 | − | 16.2818i | −0.568240 | − | 0.845311i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.62849 | + | 14.9450i | 0.446766 | + | 0.773822i | 0.998173 | − | 0.0604144i | \(-0.0192422\pi\) |
−0.551407 | + | 0.834236i | \(0.685909\pi\) | |||||||
\(374\) | 2.38312 | − | 4.12768i | 0.123228 | − | 0.213437i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.95602 | − | 0.596221i | 0.410300 | − | 0.0307478i | ||||
\(377\) | 27.5293 | − | 34.5207i | 1.41783 | − | 1.77791i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −13.4120 | − | 16.8181i | −0.688928 | − | 0.863888i | 0.307214 | − | 0.951640i | \(-0.400603\pi\) |
−0.996142 | + | 0.0877521i | \(0.972032\pi\) | |||||||
\(380\) | −18.7092 | − | 20.1637i | −0.959760 | − | 1.03438i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.64865 | + | 3.85118i | −0.289010 | + | 0.197044i | ||||
\(383\) | −2.61513 | − | 0.394167i | −0.133627 | − | 0.0201410i | 0.0818882 | − | 0.996642i | \(-0.473905\pi\) |
−0.215515 | + | 0.976501i | \(0.569143\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −10.2253 | − | 8.26466i | −0.521128 | − | 0.421206i | ||||
\(386\) | −9.06973 | + | 18.8335i | −0.461637 | + | 0.958599i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −11.4852 | + | 12.3781i | −0.583071 | + | 0.628401i | ||||
\(389\) | 3.99786 | + | 0.299598i | 0.202700 | + | 0.0151902i | 0.175693 | − | 0.984445i | \(-0.443783\pi\) |
0.0270067 | + | 0.999635i | \(0.491402\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 20.3332i | − | 1.02830i | ||||||
\(392\) | 0.0918002 | − | 6.99940i | 0.00463661 | − | 0.353523i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 3.46618 | − | 8.83168i | 0.174624 | − | 0.444934i | ||||
\(395\) | 0.173545 | − | 2.31580i | 0.00873199 | − | 0.116520i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.60404 | + | 3.81943i | −0.130693 | + | 0.191692i | −0.886007 | − | 0.463671i | \(-0.846532\pi\) |
0.755314 | + | 0.655363i | \(0.227484\pi\) | |||||||
\(398\) | 15.9842 | + | 7.69756i | 0.801213 | + | 0.385844i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −8.09940 | + | 3.90046i | −0.404970 | + | 0.195023i | ||||
\(401\) | 0.0188342 | − | 0.124956i | 0.000940533 | − | 0.00624003i | −0.988356 | − | 0.152162i | \(-0.951377\pi\) |
0.989296 | + | 0.145922i | \(0.0466147\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.32376 | + | 0.500976i | −0.165568 | + | 0.0249554i | ||||
\(404\) | −10.8084 | + | 10.0287i | −0.537737 | + | 0.498947i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −6.53684 | + | 16.3397i | −0.324418 | + | 0.810927i | ||||
\(407\) | 2.74073 | + | 2.18566i | 0.135853 | + | 0.108339i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.93224 | − | 9.50610i | 0.144990 | − | 0.470046i | −0.853725 | − | 0.520724i | \(-0.825662\pi\) |
0.998715 | + | 0.0506778i | \(0.0161382\pi\) | |||||||
\(410\) | 21.7872 | + | 12.5788i | 1.07599 | + | 0.621225i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 14.8499 | − | 3.38939i | 0.731601 | − | 0.166983i | ||||
\(413\) | 12.3111 | + | 31.9834i | 0.605791 | + | 1.57380i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −17.5691 | + | 5.41935i | −0.862433 | + | 0.266025i | ||||
\(416\) | 2.42511 | + | 6.17908i | 0.118901 | + | 0.302954i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.87998 | − | 9.33666i | −0.140864 | − | 0.456671i | ||||
\(419\) | −4.19165 | + | 18.3648i | −0.204775 | + | 0.897179i | 0.763206 | + | 0.646156i | \(0.223624\pi\) |
−0.967981 | + | 0.251024i | \(0.919233\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.34951 | − | 5.91260i | −0.0657712 | − | 0.288162i | 0.931337 | − | 0.364159i | \(-0.118643\pi\) |
−0.997108 | + | 0.0759963i | \(0.975786\pi\) | |||||||
\(422\) | −7.16865 | + | 4.13882i | −0.348964 | + | 0.201475i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −7.08573 | − | 2.18566i | −0.344114 | − | 0.106145i | ||||
\(425\) | 2.41001 | + | 32.1593i | 0.116902 | + | 1.55996i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.16225 | − | 4.64138i | 0.394999 | − | 0.224612i | ||||
\(428\) | −3.24340 | + | 2.58652i | −0.156776 | + | 0.125024i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.322619 | + | 2.14043i | 0.0155581 | + | 0.103221i | ||||
\(431\) | −12.2849 | − | 18.0186i | −0.591743 | − | 0.867928i | 0.407226 | − | 0.913327i | \(-0.366496\pi\) |
−0.998969 | + | 0.0453999i | \(0.985544\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 17.4808 | + | 36.2993i | 0.840075 | + | 1.74443i | 0.645832 | + | 0.763479i | \(0.276511\pi\) |
0.194242 | + | 0.980954i | \(0.437775\pi\) | |||||||
\(434\) | 1.21086 | − | 0.573368i | 0.0581231 | − | 0.0275225i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.03758 | + | 1.38920i | 0.0975824 | + | 0.0665305i | ||||
\(437\) | −30.5558 | − | 28.3516i | −1.46168 | − | 1.35624i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −23.2885 | − | 9.14008i | −1.11150 | − | 0.436232i | −0.262664 | − | 0.964887i | \(-0.584601\pi\) |
−0.848837 | + | 0.528655i | \(0.822696\pi\) | |||||||
\(440\) | −4.96935 | −0.236904 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 23.8129 | 1.13267 | ||||||||
\(443\) | 29.9855 | + | 11.7684i | 1.42465 | + | 0.559135i | 0.947520 | − | 0.319697i | \(-0.103581\pi\) |
0.477132 | + | 0.878831i | \(0.341676\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 15.6419 | + | 14.5136i | 0.741499 | + | 0.688011i | ||||
\(446\) | −19.7921 | − | 13.4940i | −0.937184 | − | 0.638961i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.63600 | − | 2.07930i | −0.0772937 | − | 0.0982379i | ||||
\(449\) | 5.30712 | + | 11.0203i | 0.250458 | + | 0.520082i | 0.987855 | − | 0.155378i | \(-0.0496594\pi\) |
−0.737397 | + | 0.675460i | \(0.763945\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.03406 | + | 7.38361i | 0.237045 | + | 0.347681i | ||||
\(452\) | 0.532913 | + | 3.53565i | 0.0250661 | + | 0.166303i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −1.74188 | + | 1.38911i | −0.0817507 | + | 0.0651940i | ||||
\(455\) | 10.2160 | − | 64.8886i | 0.478933 | − | 3.04202i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.37584 | + | 31.7034i | 0.111137 | + | 1.48302i | 0.722333 | + | 0.691545i | \(0.243070\pi\) |
−0.611196 | + | 0.791479i | \(0.709311\pi\) | |||||||
\(458\) | 12.5303 | + | 3.86509i | 0.585504 | + | 0.180604i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −18.3595 | + | 10.5999i | −0.856016 | + | 0.494221i | ||||
\(461\) | −0.633408 | − | 2.77514i | −0.0295008 | − | 0.129251i | 0.958033 | − | 0.286657i | \(-0.0925441\pi\) |
−0.987534 | + | 0.157406i | \(0.949687\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.253492 | − | 1.11062i | 0.0117808 | − | 0.0516149i | −0.968696 | − | 0.248250i | \(-0.920144\pi\) |
0.980477 | + | 0.196636i | \(0.0630016\pi\) | |||||||
\(464\) | 1.96063 | + | 6.35619i | 0.0910198 | + | 0.295079i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.43570 | − | 6.20605i | −0.112831 | − | 0.287490i | ||||
\(467\) | −11.3387 | + | 3.49754i | −0.524694 | + | 0.161847i | −0.545776 | − | 0.837931i | \(-0.683765\pi\) |
0.0210819 | + | 0.999778i | \(0.493289\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −17.4483 | − | 16.4038i | −0.805685 | − | 0.757459i | ||||
\(470\) | −29.0930 | + | 6.64028i | −1.34196 | + | 0.306293i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 11.2178 | + | 6.47661i | 0.516342 | + | 0.298110i | ||||
\(473\) | −0.226639 | + | 0.734744i | −0.0104209 | + | 0.0337836i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 51.6878 | + | 41.2196i | 2.37160 | + | 1.89129i | ||||
\(476\) | −9.08784 | + | 2.73810i | −0.416541 | + | 0.125500i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −5.94035 | + | 5.51184i | −0.271705 | + | 0.252106i | ||||
\(479\) | −3.16546 | + | 0.477117i | −0.144634 | + | 0.0218000i | −0.220960 | − | 0.975283i | \(-0.570919\pi\) |
0.0763263 | + | 0.997083i | \(0.475681\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.61036 | + | 17.3186i | −0.119022 | + | 0.789660i | ||||
\(482\) | −18.6875 | + | 8.99943i | −0.851192 | + | 0.409913i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 8.32027 | + | 4.00683i | 0.378194 | + | 0.182129i | ||||
\(485\) | 35.5776 | − | 52.1827i | 1.61549 | − | 2.36950i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.32075 | + | 30.9683i | −0.105163 | + | 1.40331i | 0.656006 | + | 0.754756i | \(0.272245\pi\) |
−0.761170 | + | 0.648553i | \(0.775375\pi\) | |||||||
\(488\) | 1.29657 | − | 3.30361i | 0.0586931 | − | 0.149548i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.56235 | + | 25.9384i | 0.160931 | + | 1.17178i | ||||
\(491\) | 25.2042i | 1.13745i | 0.822528 | + | 0.568725i | \(0.192563\pi\) | ||||
−0.822528 | + | 0.568725i | \(0.807437\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 23.7956 | + | 1.78324i | 1.07170 | + | 0.0803129i | ||||
\(494\) | 33.2035 | − | 35.7849i | 1.49390 | − | 1.61004i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.219709 | − | 0.456231i | 0.00986523 | − | 0.0204854i | ||||
\(497\) | 6.13528 | − | 12.5292i | 0.275205 | − | 0.562011i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 35.6741 | + | 5.37700i | 1.59699 | + | 0.240708i | 0.886408 | − | 0.462906i | \(-0.153193\pi\) |
0.710583 | + | 0.703613i | \(0.248431\pi\) | |||||||
\(500\) | 12.3295 | − | 8.40608i | 0.551390 | − | 0.375931i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.2006 | − | 10.9936i | −0.455273 | − | 0.490668i | ||||
\(503\) | 6.61094 | + | 8.28985i | 0.294767 | + | 0.369626i | 0.907058 | − | 0.421007i | \(-0.138323\pi\) |
−0.612290 | + | 0.790633i | \(0.709752\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 34.3842 | − | 43.1164i | 1.53008 | − | 1.91865i | ||||
\(506\) | −7.50942 | + | 0.562754i | −0.333835 | + | 0.0250174i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.32368 | + | 5.75678i | −0.147464 | + | 0.255416i | ||||
\(509\) | −4.75038 | − | 8.22790i | −0.210557 | − | 0.364695i | 0.741332 | − | 0.671138i | \(-0.234194\pi\) |
−0.951889 | + | 0.306443i | \(0.900861\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.02839 | + | 14.0835i | 0.0897306 | + | 0.623017i | ||||
\(512\) | −0.974928 | − | 0.222521i | −0.0430861 | − | 0.00983413i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.1953 | + | 4.78631i | −0.537913 | + | 0.211115i | ||||
\(515\) | −53.0328 | + | 20.8138i | −2.33691 | + | 0.917168i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −10.3343 | − | 2.35873i | −0.454501 | − | 0.103737i | ||||
\(518\) | −0.995152 | − | 6.90953i | −0.0437244 | − | 0.303587i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −12.4138 | − | 21.5014i | −0.544383 | − | 0.942899i | ||||
\(521\) | 10.2133 | − | 17.6900i | 0.447454 | − | 0.775013i | −0.550766 | − | 0.834660i | \(-0.685664\pi\) |
0.998220 | + | 0.0596472i | \(0.0189976\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −7.69803 | + | 0.576887i | −0.336611 | + | 0.0252255i | −0.241964 | − | 0.970285i | \(-0.577791\pi\) |
−0.0946476 | + | 0.995511i | \(0.530172\pi\) | |||||||
\(524\) | −5.29366 | + | 6.63804i | −0.231255 | + | 0.289984i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 16.8871 | + | 21.1758i | 0.736314 | + | 0.923308i | ||||
\(527\) | −1.23559 | − | 1.33165i | −0.0538231 | − | 0.0580075i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.54006 | + | 5.14073i | −0.327829 | + | 0.223510i | ||||
\(530\) | 27.4250 | + | 4.13365i | 1.19127 | + | 0.179554i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −8.55695 | + | 17.4746i | −0.370991 | + | 0.757621i | ||||
\(533\) | −19.3720 | + | 40.2263i | −0.839093 | + | 1.74239i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 10.5538 | − | 11.3743i | 0.456281 | − | 0.491754i | ||||
\(536\) | −9.02634 | − | 0.676431i | −0.389879 | − | 0.0292174i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 24.1083i | 1.03938i | ||||||||
\(539\) | −2.85760 | + | 8.85034i | −0.123086 | + | 0.381211i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.28404 | − | 18.5594i | 0.313165 | − | 0.797932i | −0.684460 | − | 0.729051i | \(-0.739962\pi\) |
0.997625 | − | 0.0688812i | \(-0.0219429\pi\) | |||||||
\(542\) | 0.0531332 | − | 0.709013i | 0.00228227 | − | 0.0304547i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −2.02085 | + | 2.96405i | −0.0866434 | + | 0.127083i | ||||
\(545\) | −8.31041 | − | 4.00208i | −0.355979 | − | 0.171430i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 25.0455 | − | 12.0613i | 1.07087 | − | 0.515703i | 0.186482 | − | 0.982458i | \(-0.440292\pi\) |
0.884386 | + | 0.466756i | \(0.154577\pi\) | |||||||
\(548\) | −1.95195 | + | 12.9503i | −0.0833830 | + | 0.553210i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 11.8103 | − | 1.78012i | 0.503593 | − | 0.0759044i | ||||
\(551\) | 35.8592 | − | 33.2724i | 1.52765 | − | 1.41745i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.57287 | + | 0.473895i | −0.0668854 | + | 0.0201521i | ||||
\(554\) | −10.1135 | − | 8.06523i | −0.429680 | − | 0.342659i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.83979 | − | 5.96444i | 0.0780243 | − | 0.252949i | ||||
\(557\) | −13.8945 | − | 8.02197i | −0.588727 | − | 0.339902i | 0.175867 | − | 0.984414i | \(-0.443727\pi\) |
−0.764594 | + | 0.644512i | \(0.777061\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.74526 | + | 0.854831i | −0.158408 | + | 0.0361555i | ||||
\(560\) | 7.20987 | + | 6.77830i | 0.304673 | + | 0.286435i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −14.0657 | + | 4.33871i | −0.593327 | + | 0.183017i | ||||
\(563\) | 10.1007 | + | 25.7361i | 0.425693 | + | 1.08465i | 0.969425 | + | 0.245389i | \(0.0789157\pi\) |
−0.543732 | + | 0.839259i | \(0.682989\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.94196 | − | 12.7795i | −0.165839 | − | 0.537638i | ||||
\(566\) | −5.15045 | + | 22.5656i | −0.216490 | + | 0.948503i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.17332 | − | 5.14067i | −0.0492316 | − | 0.215698i | ||||
\(569\) | −28.3717 | + | 16.3804i | −1.18941 | + | 0.686703i | −0.958171 | − | 0.286195i | \(-0.907610\pi\) |
−0.231234 | + | 0.972898i | \(0.574276\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.97586 | − | 1.22639i | −0.166385 | − | 0.0513229i | 0.210444 | − | 0.977606i | \(-0.432509\pi\) |
−0.376828 | + | 0.926283i | \(0.622985\pi\) | |||||||
\(572\) | −0.659059 | − | 8.79453i | −0.0275566 | − | 0.367718i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 2.76765 | − | 17.5792i | 0.115520 | − | 0.733742i | ||||
\(575\) | 39.8366 | − | 31.7687i | 1.66130 | − | 1.32484i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −4.63913 | − | 30.7786i | −0.193129 | − | 1.28133i | −0.849781 | − | 0.527136i | \(-0.823266\pi\) |
0.656652 | − | 0.754194i | \(-0.271972\pi\) | |||||||
\(578\) | −2.32683 | − | 3.41283i | −0.0967832 | − | 0.141955i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −10.7947 | − | 22.4154i | −0.448225 | − | 0.930749i | ||||
\(581\) | 8.04202 | + | 10.2212i | 0.333639 | + | 0.424045i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.13996 | + | 5.54973i | 0.337123 | + | 0.229846i | ||||
\(584\) | 3.94234 | + | 3.65796i | 0.163135 | + | 0.151367i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.64262 | − | 3.39198i | −0.357023 | − | 0.140121i | ||||
\(587\) | 13.5513 | 0.559322 | 0.279661 | − | 0.960099i | \(-0.409778\pi\) | ||||
0.279661 | + | 0.960099i | \(0.409778\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.72397 | −0.153444 | ||||||||
\(590\) | −45.0995 | − | 17.7003i | −1.85672 | − | 0.728708i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.93416 | − | 1.79464i | −0.0794935 | − | 0.0737592i | ||||
\(593\) | 0.752150 | + | 0.512807i | 0.0308871 | + | 0.0210585i | 0.578665 | − | 0.815565i | \(-0.303574\pi\) |
−0.547778 | + | 0.836624i | \(0.684526\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 32.0850 | − | 15.1929i | 1.31536 | − | 0.622850i | ||||
\(596\) | 7.93911 | + | 16.4857i | 0.325199 | + | 0.675282i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −21.1941 | − | 31.0860i | −0.866691 | − | 1.27120i | ||||
\(599\) | 6.45742 | + | 42.8422i | 0.263843 | + | 1.75048i | 0.592072 | + | 0.805885i | \(0.298310\pi\) |
−0.328229 | + | 0.944598i | \(0.606452\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.37638 | + | 5.88246i | −0.300889 | + | 0.239951i | −0.762282 | − | 0.647245i | \(-0.775921\pi\) |
0.461393 | + | 0.887196i | \(0.347350\pi\) | |||||||
\(602\) | 1.33103 | − | 0.756877i | 0.0542487 | − | 0.0308480i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.16967 | − | 15.6082i | −0.0475933 | − | 0.635089i | ||||
\(605\) | −33.0062 | − | 10.1811i | −1.34189 | − | 0.413919i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.5949 | + | 7.27168i | −0.511212 | + | 0.295148i | −0.733332 | − | 0.679871i | \(-0.762036\pi\) |
0.222120 | + | 0.975019i | \(0.428702\pi\) | |||||||
\(608\) | 1.63645 | + | 7.16976i | 0.0663668 | + | 0.290772i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.95374 | + | 12.9412i | −0.119594 | + | 0.523974i | ||||
\(611\) | −15.6101 | − | 50.6068i | −0.631518 | − | 2.04733i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.07936 | + | 2.75015i | 0.0435948 | + | 0.111078i | 0.951013 | − | 0.309151i | \(-0.100045\pi\) |
−0.907418 | + | 0.420229i | \(0.861950\pi\) | |||||||
\(614\) | −18.9945 | + | 5.85903i | −0.766556 | + | 0.236451i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.26275 | + | 3.28052i | 0.0508775 | + | 0.132176i | ||||
\(617\) | 9.05445 | − | 2.06662i | 0.364519 | − | 0.0831990i | −0.0363386 | − | 0.999340i | \(-0.511569\pi\) |
0.400857 | + | 0.916141i | \(0.368712\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 20.3634 | + | 11.7568i | 0.818476 | + | 0.472547i | 0.849891 | − | 0.526959i | \(-0.176668\pi\) |
−0.0314146 | + | 0.999506i | \(0.510001\pi\) | |||||||
\(620\) | −0.558264 | + | 1.80985i | −0.0224204 | + | 0.0726852i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 7.70331 | + | 6.14318i | 0.308875 | + | 0.246319i | ||||
\(623\) | 5.60644 | − | 14.0141i | 0.224617 | − | 0.561461i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.96502 | + | 7.39046i | −0.318601 | + | 0.295618i | ||||
\(626\) | 1.18618 | − | 0.178788i | 0.0474094 | − | 0.00714581i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.21868 | − | 21.3545i | 0.128439 | − | 0.852139i | ||||
\(629\) | −8.52800 | + | 4.10687i | −0.340034 | + | 0.163752i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −28.9687 | − | 13.9506i | −1.15323 | − | 0.555365i | −0.243225 | − | 0.969970i | \(-0.578205\pi\) |
−0.910001 | + | 0.414605i | \(0.863920\pi\) | |||||||
\(632\) | −0.349758 | + | 0.513001i | −0.0139126 | + | 0.0204061i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.53193 | + | 20.4422i | −0.0608406 | + | 0.811862i | ||||
\(635\) | 9.08346 | − | 23.1443i | 0.360466 | − | 0.918452i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −45.4322 | + | 9.74458i | −1.80009 | + | 0.386094i | ||||
\(638\) | − | 8.83750i | − | 0.349880i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 3.72982 | + | 0.279511i | 0.147434 | + | 0.0110486i | ||||
\(641\) | −16.4880 | + | 17.7698i | −0.651236 | + | 0.701866i | −0.969211 | − | 0.246233i | \(-0.920807\pi\) |
0.317974 | + | 0.948099i | \(0.396997\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 14.1789 | − | 29.4429i | 0.559163 | − | 1.16111i | −0.409402 | − | 0.912354i | \(-0.634263\pi\) |
0.968565 | − | 0.248760i | \(-0.0800230\pi\) | |||||||
\(644\) | 11.6628 | + | 9.42654i | 0.459578 | + | 0.371458i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 26.0876 | + | 3.93207i | 1.02640 | + | 0.154705i | ||||
\(647\) | −0.981216 | + | 0.668982i | −0.0385756 | + | 0.0263004i | −0.582454 | − | 0.812863i | \(-0.697908\pi\) |
0.543879 | + | 0.839164i | \(0.316955\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −11.7056 | − | 12.6156i | −0.459484 | − | 0.495206i | ||||
\(650\) | 37.2053 | + | 46.6540i | 1.45931 | + | 1.82992i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 7.56984 | − | 9.49228i | 0.296458 | − | 0.371746i | ||||
\(653\) | 28.8985 | − | 2.16564i | 1.13089 | − | 0.0847481i | 0.503888 | − | 0.863769i | \(-0.331903\pi\) |
0.626998 | + | 0.779021i | \(0.284284\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 15.8782 | − | 27.5018i | 0.620411 | − | 1.07458i | ||||
\(656\) | −3.36308 | − | 5.82503i | −0.131306 | − | 0.227429i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 11.7763 | + | 17.5184i | 0.459089 | + | 0.682939i | ||||
\(659\) | 31.9926 | + | 7.30209i | 1.24625 | + | 0.284449i | 0.794263 | − | 0.607574i | \(-0.207857\pi\) |
0.451990 | + | 0.892023i | \(0.350714\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −31.3265 | + | 12.2947i | −1.21846 | + | 0.478210i | −0.885460 | − | 0.464716i | \(-0.846156\pi\) |
−0.333000 | + | 0.942927i | \(0.608061\pi\) | |||||||
\(662\) | 15.0024 | − | 5.88802i | 0.583086 | − | 0.228845i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.79242 | + | 1.09384i | 0.185982 | + | 0.0424491i | ||||
\(665\) | 21.9065 | − | 69.4000i | 0.849496 | − | 2.69122i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −18.8508 | − | 32.6506i | −0.729906 | − | 1.26424i | ||||
\(668\) | 8.43828 | − | 14.6155i | 0.326487 | − | 0.565492i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 33.7610 | − | 2.53004i | 1.30430 | − | 0.0977439i | ||||
\(671\) | −2.93984 | + | 3.68644i | −0.113491 | + | 0.142314i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 21.9469 | + | 27.5205i | 0.845989 | + | 1.06084i | 0.997378 | + | 0.0723624i | \(0.0230538\pi\) |
−0.151389 | + | 0.988474i | \(0.548375\pi\) | |||||||
\(674\) | 7.21938 | + | 7.78064i | 0.278080 | + | 0.299699i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 25.6647 | − | 17.4979i | 0.987106 | − | 0.672997i | ||||
\(677\) | −10.9637 | − | 1.65252i | −0.421370 | − | 0.0635113i | −0.0650652 | − | 0.997881i | \(-0.520726\pi\) |
−0.356305 | + | 0.934370i | \(0.615964\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −43.4890 | − | 10.2266i | −1.66895 | − | 0.392459i | ||||
\(680\) | 5.82179 | − | 12.0891i | 0.223256 | − | 0.463595i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.457604 | + | 0.493180i | −0.0175226 | + | 0.0188848i | ||||
\(683\) | 6.49205 | + | 0.486512i | 0.248411 | + | 0.0186159i | 0.198354 | − | 0.980130i | \(-0.436441\pi\) |
0.0500575 | + | 0.998746i | \(0.484060\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 48.9849i | − | 1.87162i | ||||||
\(686\) | 16.2181 | − | 8.94284i | 0.619209 | − | 0.341439i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.211434 | − | 0.538725i | 0.00806085 | − | 0.0205387i | ||||
\(689\) | −3.67832 | + | 49.0837i | −0.140133 | + | 1.86994i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −26.5003 | + | 38.8688i | −1.00812 | + | 1.47864i | −0.135175 | + | 0.990822i | \(0.543160\pi\) |
−0.872945 | + | 0.487819i | \(0.837793\pi\) | |||||||
\(692\) | −12.7918 | − | 6.16021i | −0.486271 | − | 0.234176i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −25.9210 | + | 12.4829i | −0.983947 | + | 0.473844i | ||||
\(695\) | −3.47952 | + | 23.0851i | −0.131986 | + | 0.875667i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −23.8599 | + | 3.59631i | −0.903759 | + | 0.136220i | ||||
\(698\) | 19.2516 | − | 17.8629i | 0.728686 | − | 0.676121i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −19.5633 | − | 13.5268i | −0.739423 | − | 0.511265i | ||||
\(701\) | 16.7997 | + | 13.3973i | 0.634515 | + | 0.506009i | 0.887107 | − | 0.461564i | \(-0.152712\pi\) |
−0.252592 | + | 0.967573i | \(0.581283\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −5.71941 | + | 18.5419i | −0.215712 | + | 0.699320i | ||||
\(704\) | 1.15061 | + | 0.664303i | 0.0433651 | + | 0.0250368i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 11.9293 | − | 2.72279i | 0.448966 | − | 0.102474i | ||||
\(707\) | −37.2006 | − | 11.7426i | −1.39907 | − | 0.441624i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −21.3249 | + | 6.57785i | −0.800872 | + | 0.247036i | −0.668063 | − | 0.744105i | \(-0.732876\pi\) |
−0.132810 | + | 0.991142i | \(0.542400\pi\) | |||||||
\(710\) | 7.20525 | + | 18.3587i | 0.270408 | + | 0.688989i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.68157 | − | 5.45150i | −0.0630194 | − | 0.204304i | ||||
\(713\) | −0.638664 | + | 2.79817i | −0.0239181 | + | 0.104792i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.34012 | + | 32.1592i | 0.274505 | + | 1.20268i | ||||
\(716\) | 7.70328 | − | 4.44749i | 0.287885 | − | 0.166210i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −18.7731 | − | 5.79073i | −0.700606 | − | 0.216108i | ||||
\(719\) | −3.82393 | − | 51.0268i | −0.142608 | − | 1.90298i | −0.369774 | − | 0.929122i | \(-0.620565\pi\) |
0.227165 | − | 0.973856i | \(-0.427054\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 27.2163 | + | 29.7207i | 1.01359 | + | 1.10686i | ||||
\(722\) | 27.4293 | − | 21.8741i | 1.02081 | − | 0.814071i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.700571 | − | 4.64798i | −0.0260365 | − | 0.172741i | ||||
\(725\) | 33.6846 | + | 49.4062i | 1.25101 | + | 1.83490i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.03038 | + | 18.7518i | 0.334918 | + | 0.695465i | 0.998619 | − | 0.0525333i | \(-0.0167296\pi\) |
−0.663701 | + | 0.747998i | \(0.731015\pi\) | |||||||
\(728\) | −11.0397 | + | 13.6587i | −0.409160 | + | 0.506224i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −16.6199 | − | 11.3313i | −0.615131 | − | 0.419389i | ||||
\(731\) | −1.52192 | − | 1.41213i | −0.0562902 | − | 0.0522296i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 22.4476 | + | 8.81002i | 0.829120 | + | 0.325406i | 0.741671 | − | 0.670763i | \(-0.234033\pi\) |
0.0874487 | + | 0.996169i | \(0.472129\pi\) | |||||||
\(734\) | 8.42844 | 0.311100 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.66796 | 0.208924 | ||||||||
\(737\) | 11.1948 | + | 4.39362i | 0.412364 | + | 0.161841i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −26.3373 | − | 24.4374i | −0.968832 | − | 0.898945i | 0.0260835 | − | 0.999660i | \(-0.491696\pi\) |
−0.994915 | + | 0.100715i | \(0.967887\pi\) | |||||||
\(740\) | 8.15393 | + | 5.55925i | 0.299744 | + | 0.204362i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.24006 | − | 19.1550i | −0.155657 | − | 0.703203i | ||||
\(743\) | −5.84926 | − | 12.1461i | −0.214588 | − | 0.445597i | 0.765692 | − | 0.643207i | \(-0.222396\pi\) |
−0.980281 | + | 0.197609i | \(0.936682\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −38.5529 | − | 56.5467i | −1.41247 | − | 2.07171i | ||||
\(746\) | 2.57202 | + | 17.0642i | 0.0941683 | + | 0.624766i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.72640 | − | 2.97170i | 0.136251 | − | 0.108656i | ||||
\(749\) | −10.1906 | − | 4.07682i | −0.372355 | − | 0.148964i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.47508 | − | 19.6836i | −0.0538264 | − | 0.718264i | −0.957203 | − | 0.289416i | \(-0.906539\pi\) |
0.903377 | − | 0.428848i | \(-0.141080\pi\) | |||||||
\(752\) | 7.62388 | + | 2.35165i | 0.278014 | + | 0.0857560i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 38.2381 | − | 22.0768i | 1.39255 | − | 0.803990i | ||||
\(755\) | 13.0270 | + | 57.0749i | 0.474100 | + | 2.07717i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.45750 | + | 32.6734i | −0.271047 | + | 1.18754i | 0.637732 | + | 0.770258i | \(0.279873\pi\) |
−0.908779 | + | 0.417277i | \(0.862984\pi\) | |||||||
\(758\) | −6.34053 | − | 20.5555i | −0.230298 | − | 0.746609i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −10.0493 | − | 25.6051i | −0.364525 | − | 0.928794i | ||||
\(761\) | 10.0095 | − | 3.08751i | 0.362843 | − | 0.111922i | −0.107973 | − | 0.994154i | \(-0.534436\pi\) |
0.470816 | + | 0.882232i | \(0.343960\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.530243 | + | 6.50308i | −0.0191961 | + | 0.235427i | ||||
\(764\) | −6.66517 | + | 1.52128i | −0.241137 | + | 0.0550381i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.29035 | − | 1.32233i | −0.0827537 | − | 0.0477779i | ||||
\(767\) | 25.3438 | − | 82.1626i | 0.915112 | − | 2.96672i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 13.1951 | + | 10.5228i | 0.475829 | + | 0.379461i | 0.831835 | − | 0.555023i | \(-0.187290\pi\) |
−0.356006 | + | 0.934484i | \(0.615862\pi\) | |||||||
\(770\) | −6.49902 | − | 11.4291i | −0.234209 | − | 0.411875i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −15.3234 | + | 14.2181i | −0.551502 | + | 0.511719i | ||||
\(773\) | −9.77021 | + | 1.47262i | −0.351410 | + | 0.0529665i | −0.322376 | − | 0.946612i | \(-0.604481\pi\) |
−0.0290345 | + | 0.999578i | \(0.509243\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.678464 | − | 4.50132i | 0.0243712 | − | 0.161692i | ||||
\(776\) | −15.2134 | + | 7.32641i | −0.546131 | + | 0.263003i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.61205 | + | 1.73947i | 0.129498 | + | 0.0623631i | ||||
\(779\) | −27.8647 | + | 40.8700i | −0.998357 | + | 1.46432i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.523527 | + | 6.98598i | −0.0187333 | + | 0.249978i | ||||
\(782\) | 7.42857 | − | 18.9277i | 0.265645 | − | 0.676852i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 2.64262 | − | 6.48202i | 0.0943793 | − | 0.231501i | ||||
\(785\) | 80.7740i | 2.88295i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.10004 | − | 0.532074i | −0.253089 | − | 0.0189664i | −0.0524186 | − | 0.998625i | \(-0.516693\pi\) |
−0.200670 | + | 0.979659i | \(0.564312\pi\) | |||||||
\(788\) | 6.45315 | − | 6.95484i | 0.229884 | − | 0.247756i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.00760 | − | 2.09231i | 0.0358489 | − | 0.0744411i | ||||
\(791\) | −7.43473 | + | 5.84966i | −0.264349 | + | 0.207990i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −23.2945 | − | 3.51108i | −0.827212 | − | 0.124682i | ||||
\(794\) | −3.81943 | + | 2.60404i | −0.135547 | + | 0.0924141i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 12.0670 | + | 13.0051i | 0.427703 | + | 0.460955i | ||||
\(797\) | −16.7160 | − | 20.9612i | −0.592112 | − | 0.742485i | 0.392014 | − | 0.919959i | \(-0.371779\pi\) |
−0.984125 | + | 0.177475i | \(0.943207\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 17.8452 | − | 22.3772i | 0.631317 | − | 0.791647i | ||||
\(800\) | −8.96451 | + | 0.671797i | −0.316943 | + | 0.0237516i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0.0631840 | − | 0.109438i | 0.00223110 | − | 0.00386438i | ||||
\(803\) | −3.57261 | − | 6.18794i | −0.126075 | − | 0.218368i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −48.3897 | − | 28.3625i | −1.70551 | − | 0.999647i | ||||
\(806\) | −3.27703 | − | 0.747960i | −0.115428 | − | 0.0263458i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −13.7251 | + | 5.38672i | −0.482848 | + | 0.189504i | ||||
\(809\) | −43.1255 | + | 16.9255i | −1.51621 | + | 0.595069i | −0.970113 | − | 0.242653i | \(-0.921982\pi\) |
−0.546097 | + | 0.837722i | \(0.683887\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.76664 | − | 0.631468i | −0.0971500 | − | 0.0221738i | 0.173670 | − | 0.984804i | \(-0.444438\pi\) |
−0.270820 | + | 0.962630i | \(0.587295\pi\) | |||||||
\(812\) | −12.0545 | + | 12.8220i | −0.423032 | + | 0.449966i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1.75276 | + | 3.03588i | 0.0614344 | + | 0.106407i | ||||
\(815\) | −22.7055 | + | 39.3271i | −0.795338 | + | 1.37757i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.24417 | + | 0.318056i | −0.148485 | + | 0.0111274i | ||||
\(818\) | 6.20252 | − | 7.77771i | 0.216866 | − | 0.271941i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 15.6856 | + | 19.6691i | 0.547764 | + | 0.686874i | ||||
\(821\) | 16.1136 | + | 17.3663i | 0.562367 | + | 0.606087i | 0.948663 | − | 0.316287i | \(-0.102436\pi\) |
−0.386297 | + | 0.922375i | \(0.626246\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.16626 | − | 5.56766i | 0.284658 | − | 0.194076i | −0.412570 | − | 0.910926i | \(-0.635369\pi\) |
0.697228 | + | 0.716849i | \(0.254416\pi\) | |||||||
\(824\) | 15.0616 | + | 2.27018i | 0.524697 | + | 0.0790854i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.224725 | + | 34.2702i | −0.00781918 | + | 1.19241i | ||||
\(827\) | −0.416708 | + | 0.865304i | −0.0144904 | + | 0.0300896i | −0.908088 | − | 0.418778i | \(-0.862458\pi\) |
0.893598 | + | 0.448868i | \(0.148173\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 22.8857 | − | 24.6650i | 0.794855 | − | 0.856650i | −0.197470 | − | 0.980309i | \(-0.563273\pi\) |
0.992325 | + | 0.123659i | \(0.0394630\pi\) | |||||||
\(830\) | −18.3345 | − | 1.37398i | −0.636400 | − | 0.0476916i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 6.63793i | 0.230129i | ||||||||
\(833\) | −18.1827 | − | 17.3203i | −0.629992 | − | 0.600113i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −23.0614 | + | 58.7595i | −0.798073 | + | 2.03346i | ||||
\(836\) | 0.730169 | − | 9.74343i | 0.0252534 | − | 0.336984i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −10.6113 | + | 15.5639i | −0.366562 | + | 0.537647i | ||||
\(839\) | −27.9737 | − | 13.4714i | −0.965760 | − | 0.465085i | −0.116575 | − | 0.993182i | \(-0.537192\pi\) |
−0.849184 | + | 0.528097i | \(0.822906\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.7355 | − | 6.61467i | 0.473638 | − | 0.228092i | ||||
\(842\) | 0.903890 | − | 5.99692i | 0.0311501 | − | 0.206667i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −8.18519 | + | 1.23372i | −0.281746 | + | 0.0424663i | ||||
\(845\) | −85.1666 | + | 79.0231i | −2.92982 | + | 2.71848i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.66608 | + | 24.3761i | 0.0572470 | + | 0.837574i | ||||
\(848\) | −5.79741 | − | 4.62328i | −0.199084 | − | 0.158764i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −9.50570 | + | 30.8167i | −0.326043 | + | 1.05700i | ||||
\(851\) | 12.9514 | + | 7.47747i | 0.443967 | + | 0.256324i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −54.5429 | + | 12.4491i | −1.86751 | + | 0.426248i | −0.997740 | − | 0.0671998i | \(-0.978594\pi\) |
−0.869775 | + | 0.493448i | \(0.835736\pi\) | |||||||
\(854\) | 9.29371 | − | 1.33854i | 0.318024 | − | 0.0458037i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.96416 | + | 1.22278i | −0.135492 | + | 0.0417938i | ||||
\(857\) | 7.11942 | + | 18.1400i | 0.243195 | + | 0.619650i | 0.999398 | − | 0.0346864i | \(-0.0110432\pi\) |
−0.756204 | + | 0.654337i | \(0.772948\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −6.59084 | − | 21.3670i | −0.224877 | − | 0.729032i | −0.995754 | − | 0.0920489i | \(-0.970658\pi\) |
0.770878 | − | 0.636983i | \(-0.219818\pi\) | |||||||
\(860\) | −0.481671 | + | 2.11034i | −0.0164249 | + | 0.0719620i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −4.85274 | − | 21.2613i | −0.165285 | − | 0.724161i | ||||
\(863\) | 15.1729 | − | 8.76009i | 0.516492 | − | 0.298197i | −0.219006 | − | 0.975724i | \(-0.570281\pi\) |
0.735498 | + | 0.677526i | \(0.236948\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 50.7445 | + | 15.6526i | 1.72537 | + | 0.532205i | ||||
\(866\) | 3.01081 | + | 40.1765i | 0.102312 | + | 1.36525i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.33663 | − | 0.0913569i | 0.0453682 | − | 0.00310086i | ||||
\(869\) | 0.644944 | − | 0.514326i | 0.0218782 | − | 0.0174473i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 8.95510 | + | 59.4132i | 0.303432 | + | 2.01314i | ||||
\(872\) | 1.38920 | + | 2.03758i | 0.0470442 | + | 0.0690012i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −18.0856 | − | 37.5551i | −0.611753 | − | 1.27032i | ||||
\(875\) | 35.4580 | + | 17.3630i | 1.19870 | + | 0.586977i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.04296 | + | 1.39287i | 0.0689860 | + | 0.0470339i | 0.597322 | − | 0.802002i | \(-0.296231\pi\) |
−0.528336 | + | 0.849035i | \(0.677184\pi\) | |||||||
\(878\) | −18.3394 | − | 17.0165i | −0.618926 | − | 0.574280i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.62584 | − | 1.81551i | −0.155937 | − | 0.0612007i | ||||
\(881\) | −12.7838 | −0.430698 | −0.215349 | − | 0.976537i | \(-0.569089\pi\) | ||||
−0.215349 | + | 0.976537i | \(0.569089\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −46.7814 | −1.57432 | −0.787160 | − | 0.616749i | \(-0.788449\pi\) | ||||
−0.787160 | + | 0.616749i | \(0.788449\pi\) | |||||||
\(884\) | 22.1668 | + | 8.69984i | 0.745551 | + | 0.292607i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 23.6132 | + | 21.9098i | 0.793301 | + | 0.736075i | ||||
\(887\) | −4.62581 | − | 3.15383i | −0.155320 | − | 0.105895i | 0.483166 | − | 0.875529i | \(-0.339487\pi\) |
−0.638486 | + | 0.769633i | \(0.720439\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −17.5869 | − | 0.115325i | −0.589845 | − | 0.00386787i | ||||
\(890\) | 9.25826 | + | 19.2250i | 0.310338 | + | 0.644423i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −13.4940 | − | 19.7921i | −0.451814 | − | 0.662689i | ||||
\(893\) | −8.74487 | − | 58.0184i | −0.292636 | − | 1.94151i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −26.0113 | + | 20.7433i | −0.869461 | + | 0.693372i | ||||
\(896\) | −0.763254 | − | 2.53327i | −0.0254985 | − | 0.0846305i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0.914073 | + | 12.1975i | 0.0305030 | + | 0.407034i | ||||
\(899\) | −3.21864 | − | 0.992818i | −0.107348 | − | 0.0331123i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −23.0373 | + | 13.3006i | −0.767484 | + | 0.443107i | ||||
\(902\) | 1.98854 | + | 8.71236i | 0.0662111 | + | 0.290090i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.795643 | + | 3.48594i | −0.0264627 | + | 0.115941i | ||||
\(905\) | 5.18212 | + | 16.8000i | 0.172259 | + | 0.558451i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 10.1464 | + | 25.8527i | 0.336907 | + | 0.858426i | 0.994470 | + | 0.105026i | \(0.0334925\pi\) |
−0.657562 | + | 0.753400i | \(0.728412\pi\) | |||||||
\(908\) | −2.12897 | + | 0.656701i | −0.0706524 | + | 0.0217934i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 33.2163 | − | 56.6708i | 1.10111 | − | 1.87862i | ||||
\(911\) | −10.4482 | + | 2.38474i | −0.346165 | + | 0.0790098i | −0.392068 | − | 0.919936i | \(-0.628240\pi\) |
0.0459038 | + | 0.998946i | \(0.485383\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.65599 | − | 3.26549i | −0.187186 | − | 0.108072i | ||||
\(914\) | −9.37095 | + | 30.3799i | −0.309964 | + | 1.00488i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 10.2521 | + | 8.17576i | 0.338738 | + | 0.270135i | ||||
\(917\) | −22.1901 | − | 3.49358i | −0.732781 | − | 0.115368i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −14.0920 | + | 13.0754i | −0.464851 | + | 0.431318i | −0.877504 | − | 0.479570i | \(-0.840793\pi\) |
0.412653 | + | 0.910888i | \(0.364602\pi\) | |||||||
\(920\) | −20.9629 | + | 3.15965i | −0.691128 | + | 0.104171i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.424251 | − | 2.81472i | 0.0139719 | − | 0.0926978i | ||||
\(923\) | −31.5348 | + | 15.1864i | −1.03798 | + | 0.499865i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −21.3703 | − | 10.2914i | −0.702651 | − | 0.338379i | ||||
\(926\) | 0.641724 | − | 0.941236i | 0.0210884 | − | 0.0309309i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.497083 | + | 6.63311i | −0.0163175 | + | 0.217743i | ||||
\(929\) | 19.8307 | − | 50.5278i | 0.650624 | − | 1.65776i | −0.0983398 | − | 0.995153i | \(-0.531353\pi\) |
0.748964 | − | 0.662611i | \(-0.230552\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −51.3811 | + | 3.17348i | −1.68395 | + | 0.104006i | ||||
\(932\) | − | 6.66691i | − | 0.218382i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −11.8327 | − | 0.886741i | −0.387179 | − | 0.0290150i | ||||
\(935\) | −12.1255 | + | 13.0681i | −0.396545 | + | 0.427374i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 7.17025 | − | 14.8892i | 0.234242 | − | 0.486409i | −0.750402 | − | 0.660981i | \(-0.770140\pi\) |
0.984644 | + | 0.174573i | \(0.0558545\pi\) | |||||||
\(938\) | −10.2491 | − | 21.6445i | −0.334646 | − | 0.706717i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −29.5078 | − | 4.44759i | −0.962440 | − | 0.145064i | ||||
\(941\) | 3.92089 | − | 2.67322i | 0.127817 | − | 0.0871445i | −0.497724 | − | 0.867336i | \(-0.665831\pi\) |
0.625541 | + | 0.780191i | \(0.284878\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 25.9306 | + | 27.9466i | 0.844418 | + | 0.910066i | ||||
\(944\) | 8.07620 | + | 10.1272i | 0.262858 | + | 0.329613i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.479404 | + | 0.601154i | −0.0155868 | + | 0.0195452i | ||||
\(947\) | −14.5329 | + | 1.08909i | −0.472255 | + | 0.0353906i | −0.308732 | − | 0.951149i | \(-0.599905\pi\) |
−0.163523 | + | 0.986540i | \(0.552286\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 17.8494 | − | 30.9160i | 0.579415 | − | 1.00358i | ||||
\(950\) | 33.0556 | + | 57.2539i | 1.07246 | + | 1.85756i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −9.45998 | − | 0.771339i | −0.306600 | − | 0.0249993i | ||||
\(953\) | −33.2254 | − | 7.58348i | −1.07628 | − | 0.245653i | −0.352587 | − | 0.935779i | \(-0.614698\pi\) |
−0.723689 | + | 0.690126i | \(0.757555\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 23.8031 | − | 9.34202i | 0.770249 | − | 0.302301i | ||||
\(956\) | −7.54342 | + | 2.96057i | −0.243972 | + | 0.0957518i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.12096 | − | 0.712338i | −0.100834 | − | 0.0230146i | ||||
\(959\) | −32.3374 | + | 12.4474i | −1.04423 | + | 0.401948i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.3718 | − | 26.6247i | −0.495864 | − | 0.858862i | ||||
\(962\) | −8.75710 | + | 15.1678i | −0.282340 | + | 0.489028i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −20.6836 | + | 1.55002i | −0.666173 | + | 0.0499227i | ||||
\(965\) | 48.7477 | − | 61.1276i | 1.56924 | − | 1.96777i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 23.6286 | + | 29.6293i | 0.759844 | + | 0.952814i | 0.999839 | − | 0.0179600i | \(-0.00571716\pi\) |
−0.239995 | + | 0.970774i | \(0.577146\pi\) | |||||||
\(968\) | 6.28126 | + | 6.76959i | 0.201887 | + | 0.217583i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 52.1827 | − | 35.5776i | 1.67549 | − | 1.14233i | ||||
\(971\) | 11.5685 | + | 1.74367i | 0.371251 | + | 0.0559570i | 0.332018 | − | 0.943273i | \(-0.392271\pi\) |
0.0392327 | + | 0.999230i | \(0.487509\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 16.1238 | − | 3.56908i | 0.516906 | − | 0.114420i | ||||
\(974\) | −13.4743 | + | 27.9797i | −0.431745 | + | 0.896528i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.41389 | − | 2.60156i | 0.0772668 | − | 0.0832738i | ||||
\(977\) | 11.5190 | + | 0.863233i | 0.368527 | + | 0.0276173i | 0.257707 | − | 0.966223i | \(-0.417033\pi\) |
0.110820 | + | 0.993840i | \(0.464652\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 7.57964i | 0.242246i | ||||||||
\(980\) | −6.16027 | + | 25.4469i | −0.196783 | + | 0.812871i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −9.20813 | + | 23.4619i | −0.293843 | + | 0.748700i | ||||
\(983\) | −0.0731088 | + | 0.975569i | −0.00233181 | + | 0.0311158i | −0.998248 | − | 0.0591631i | \(-0.981157\pi\) |
0.995917 | + | 0.0902789i | \(0.0287758\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −19.9899 | + | 29.3198i | −0.636932 | + | 0.934208i | ||||
\(986\) | 21.4992 | + | 10.3535i | 0.684675 | + | 0.329722i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 43.9820 | − | 21.1806i | 1.39925 | − | 0.673844i | ||||
\(989\) | −0.488892 | + | 3.24358i | −0.0155459 | + | 0.103140i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.1908 | + | 2.59109i | −0.546083 | + | 0.0823087i | −0.416289 | − | 0.909232i | \(-0.636670\pi\) |
−0.129794 | + | 0.991541i | \(0.541431\pi\) | |||||||
\(992\) | 0.371201 | − | 0.344424i | 0.0117856 | − | 0.0109355i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 10.2886 | − | 9.42163i | 0.326335 | − | 0.298836i | ||||
\(995\) | −51.8796 | − | 41.3726i | −1.64469 | − | 1.31160i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −6.74656 | + | 21.8718i | −0.213666 | + | 0.692687i | 0.783765 | + | 0.621057i | \(0.213296\pi\) |
−0.997431 | + | 0.0716305i | \(0.977180\pi\) | |||||||
\(998\) | 31.2436 | + | 18.0385i | 0.988999 | + | 0.570999i | ||||
\(999\) | 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 | 882.2.bl.a.395.11 | yes | 240 | |
3.2 | odd | 2 | inner | 882.2.bl.a.395.10 | ✓ | 240 | |
49.33 | odd | 42 | inner | 882.2.bl.a.719.10 | yes | 240 | |
147.131 | even | 42 | inner | 882.2.bl.a.719.11 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.bl.a.395.10 | ✓ | 240 | 3.2 | odd | 2 | inner | |
882.2.bl.a.395.11 | yes | 240 | 1.1 | even | 1 | trivial | |
882.2.bl.a.719.10 | yes | 240 | 49.33 | odd | 42 | inner | |
882.2.bl.a.719.11 | yes | 240 | 147.131 | even | 42 | inner |