Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1386,2,Mod(703,1386)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1386, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1386.703");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1386 = 2 \cdot 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1386.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: | \(11.0672657201\) |
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 | 901.1 | ||
Character | \(\chi\) | \(=\) | 1386.901 |
Dual form | 1386.2.bk.d.703.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1386\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(1135\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −0.194145 | − | 0.112089i | −0.0868242 | − | 0.0501279i | 0.455959 | − | 0.890001i | \(-0.349296\pi\) |
−0.542783 | + | 0.839873i | \(0.682630\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.62785 | − | 0.307218i | 0.993235 | − | 0.116117i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.112089 | + | 0.194145i | 0.0354458 | + | 0.0613939i | ||||
\(11\) | −3.31529 | + | 0.0941129i | −0.999597 | + | 0.0283761i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.03153 | 1.39550 | 0.697748 | − | 0.716344i | \(-0.254186\pi\) | ||||
0.697748 | + | 0.716344i | \(0.254186\pi\) | |||||||
\(14\) | −2.42940 | − | 1.04787i | −0.649284 | − | 0.280055i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 3.92826 | + | 6.80394i | 0.952743 | + | 1.65020i | 0.739451 | + | 0.673210i | \(0.235085\pi\) |
0.213291 | + | 0.976989i | \(0.431582\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.66573 | + | 6.34924i | −0.840977 | + | 1.45662i | 0.0480924 | + | 0.998843i | \(0.484686\pi\) |
−0.889070 | + | 0.457772i | \(0.848648\pi\) | |||||||
\(20\) | − | 0.224179i | − | 0.0501279i | ||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.91818 | + | 1.57614i | 0.622158 | + | 0.336034i | ||||
\(23\) | −2.42940 | + | 4.20784i | −0.506564 | + | 0.877395i | 0.493407 | + | 0.869799i | \(0.335751\pi\) |
−0.999971 | + | 0.00759654i | \(0.997582\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.47487 | − | 4.28660i | −0.494974 | − | 0.857321i | ||||
\(26\) | −4.35743 | − | 2.51576i | −0.854563 | − | 0.493382i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.57999 | + | 2.12218i | 0.298589 | + | 0.401054i | ||||
\(29\) | − | 5.65814i | − | 1.05069i | −0.850889 | − | 0.525345i | \(-0.823936\pi\) | ||
0.850889 | − | 0.525345i | \(-0.176064\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.73996 | − | 2.15927i | 0.671717 | − | 0.387816i | −0.125010 | − | 0.992155i | \(-0.539896\pi\) |
0.796727 | + | 0.604340i | \(0.206563\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 7.85652i | − | 1.34738i | ||||||
\(35\) | −0.544620 | − | 0.234910i | −0.0920576 | − | 0.0397071i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.0891097 | + | 0.154343i | −0.0146495 | + | 0.0253738i | −0.873257 | − | 0.487259i | \(-0.837997\pi\) |
0.858608 | + | 0.512633i | \(0.171330\pi\) | |||||||
\(38\) | 6.34924 | − | 3.66573i | 1.02998 | − | 0.594661i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.112089 | + | 0.194145i | −0.0177229 | + | 0.0306970i | ||||
\(41\) | −0.568932 | −0.0888522 | −0.0444261 | − | 0.999013i | \(-0.514146\pi\) | ||||
−0.0444261 | + | 0.999013i | \(0.514146\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.39391i | 0.975063i | 0.873105 | + | 0.487531i | \(0.162103\pi\) | ||||
−0.873105 | + | 0.487531i | \(0.837897\pi\) | |||||||
\(44\) | −1.73915 | − | 2.82407i | −0.262187 | − | 0.425744i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.20784 | − | 2.42940i | 0.620412 | − | 0.358195i | ||||
\(47\) | 2.93076 | + | 1.69208i | 0.427495 | + | 0.246815i | 0.698279 | − | 0.715826i | \(-0.253949\pi\) |
−0.270784 | + | 0.962640i | \(0.587283\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.81123 | − | 1.61465i | 0.973033 | − | 0.230664i | ||||
\(50\) | 4.94974i | 0.699999i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.51576 | + | 4.35743i | 0.348874 | + | 0.604267i | ||||
\(53\) | −1.07478 | − | 1.86157i | −0.147632 | − | 0.255706i | 0.782720 | − | 0.622374i | \(-0.213832\pi\) |
−0.930352 | + | 0.366668i | \(0.880498\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.654195 | + | 0.353338i | 0.0882116 | + | 0.0476440i | ||||
\(56\) | −0.307218 | − | 2.62785i | −0.0410537 | − | 0.351162i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.82907 | + | 4.90010i | −0.371475 | + | 0.643414i | ||||
\(59\) | −2.00911 | + | 1.15996i | −0.261563 | + | 0.151014i | −0.625048 | − | 0.780587i | \(-0.714920\pi\) |
0.363484 | + | 0.931600i | \(0.381587\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.19784 | + | 3.80677i | −0.281404 | + | 0.487407i | −0.971731 | − | 0.236091i | \(-0.924134\pi\) |
0.690327 | + | 0.723498i | \(0.257467\pi\) | |||||||
\(62\) | −4.31854 | −0.548455 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −0.976845 | − | 0.563982i | −0.121163 | − | 0.0699533i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.32907 | + | 7.49817i | 0.528880 | + | 0.916047i | 0.999433 | + | 0.0336755i | \(0.0107213\pi\) |
−0.470553 | + | 0.882372i | \(0.655945\pi\) | |||||||
\(68\) | −3.92826 | + | 6.80394i | −0.476371 | + | 0.825099i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.354200 | + | 0.475748i | 0.0423349 | + | 0.0568628i | ||||
\(71\) | −11.6958 | −1.38803 | −0.694015 | − | 0.719960i | \(-0.744160\pi\) | ||||
−0.694015 | + | 0.719960i | \(0.744160\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.25571 | + | 9.10315i | 0.615134 | + | 1.06544i | 0.990361 | + | 0.138511i | \(0.0442315\pi\) |
−0.375227 | + | 0.926933i | \(0.622435\pi\) | |||||||
\(74\) | 0.154343 | − | 0.0891097i | 0.0179420 | − | 0.0103588i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −7.33147 | −0.840977 | ||||||||
\(77\) | −8.68318 | + | 1.26583i | −0.989541 | + | 0.144255i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.75195 | + | 5.05294i | 0.984671 | + | 0.568500i | 0.903677 | − | 0.428214i | \(-0.140857\pi\) |
0.0809939 | + | 0.996715i | \(0.474191\pi\) | |||||||
\(80\) | 0.194145 | − | 0.112089i | 0.0217060 | − | 0.0125320i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.492709 | + | 0.284466i | 0.0544106 | + | 0.0314140i | ||||
\(83\) | 14.2897 | 1.56849 | 0.784247 | − | 0.620448i | \(-0.213049\pi\) | ||||
0.784247 | + | 0.620448i | \(0.213049\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 1.76127i | − | 0.191036i | ||||||
\(86\) | 3.19696 | − | 5.53729i | 0.344737 | − | 0.597102i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.0941129 | + | 3.31529i | 0.0100325 | + | 0.353411i | ||||
\(89\) | 9.10315 | + | 5.25571i | 0.964932 | + | 0.557104i | 0.897688 | − | 0.440633i | \(-0.145246\pi\) |
0.0672448 | + | 0.997737i | \(0.478579\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 13.2221 | − | 1.54578i | 1.38606 | − | 0.162041i | ||||
\(92\) | −4.85879 | −0.506564 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.69208 | − | 2.93076i | −0.174524 | − | 0.302285i | ||||
\(95\) | 1.42337 | − | 0.821781i | 0.146034 | − | 0.0843129i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 3.96123i | − | 0.402202i | −0.979571 | − | 0.201101i | \(-0.935548\pi\) | ||
0.979571 | − | 0.201101i | \(-0.0644519\pi\) | |||||||
\(98\) | −6.70603 | − | 2.00729i | −0.677411 | − | 0.202767i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.47487 | − | 4.28660i | 0.247487 | − | 0.428660i | ||||
\(101\) | −3.38364 | − | 5.86063i | −0.336685 | − | 0.583155i | 0.647122 | − | 0.762386i | \(-0.275972\pi\) |
−0.983807 | + | 0.179231i | \(0.942639\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −12.4945 | − | 7.21371i | −1.23112 | − | 0.710788i | −0.263857 | − | 0.964562i | \(-0.584995\pi\) |
−0.967263 | + | 0.253774i | \(0.918328\pi\) | |||||||
\(104\) | − | 5.03153i | − | 0.493382i | ||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.14956i | 0.208783i | ||||||||
\(107\) | 14.9528 | + | 8.63301i | 1.44554 | + | 0.834585i | 0.998211 | − | 0.0597828i | \(-0.0190408\pi\) |
0.447332 | + | 0.894368i | \(0.352374\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.87038 | + | 1.65721i | −0.274932 | + | 0.158732i | −0.631127 | − | 0.775680i | \(-0.717407\pi\) |
0.356195 | + | 0.934412i | \(0.384074\pi\) | |||||||
\(110\) | −0.389881 | − | 0.633097i | −0.0371737 | − | 0.0603634i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.04787 | + | 2.42940i | −0.0990143 | + | 0.229556i | ||||
\(113\) | 17.4297 | 1.63965 | 0.819825 | − | 0.572613i | \(-0.194070\pi\) | ||||
0.819825 | + | 0.572613i | \(0.194070\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.943309 | − | 0.544620i | 0.0879640 | − | 0.0507861i | ||||
\(116\) | 4.90010 | − | 2.82907i | 0.454962 | − | 0.262673i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.31992 | 0.213566 | ||||||||
\(119\) | 12.4132 | + | 16.6729i | 1.13791 | + | 1.52841i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.9823 | − | 0.624023i | 0.998390 | − | 0.0567294i | ||||
\(122\) | 3.80677 | − | 2.19784i | 0.344649 | − | 0.198983i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.73996 | + | 2.15927i | 0.335858 | + | 0.193908i | ||||
\(125\) | 2.23052i | 0.199504i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 8.23722i | − | 0.730935i | −0.930824 | − | 0.365468i | \(-0.880909\pi\) | ||
0.930824 | − | 0.365468i | \(-0.119091\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.563982 | + | 0.976845i | 0.0494645 | + | 0.0856750i | ||||
\(131\) | 1.07003 | − | 1.85334i | 0.0934888 | − | 0.161927i | −0.815488 | − | 0.578774i | \(-0.803531\pi\) |
0.908977 | + | 0.416846i | \(0.136865\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −7.68241 | + | 17.8111i | −0.666150 | + | 1.54441i | ||||
\(134\) | − | 8.65814i | − | 0.747950i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.80394 | − | 3.92826i | 0.583433 | − | 0.336845i | ||||
\(137\) | 5.69013 | + | 9.85559i | 0.486140 | + | 0.842020i | 0.999873 | − | 0.0159306i | \(-0.00507108\pi\) |
−0.513733 | + | 0.857950i | \(0.671738\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −14.0998 | −1.19593 | −0.597963 | − | 0.801523i | \(-0.704023\pi\) | ||||
−0.597963 | + | 0.801523i | \(0.704023\pi\) | |||||||
\(140\) | −0.0688718 | − | 0.589110i | −0.00582073 | − | 0.0497889i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 10.1288 | + | 5.84788i | 0.849991 | + | 0.490743i | ||||
\(143\) | −16.6810 | + | 0.473532i | −1.39493 | + | 0.0395987i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.634218 | + | 1.09850i | −0.0526690 | + | 0.0912253i | ||||
\(146\) | − | 10.5114i | − | 0.869931i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.178219 | −0.0146495 | ||||||||
\(149\) | −11.8830 | − | 6.86063i | −0.973491 | − | 0.562045i | −0.0731920 | − | 0.997318i | \(-0.523319\pi\) |
−0.900299 | + | 0.435273i | \(0.856652\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 15.1576 | − | 8.75126i | 1.23351 | − | 0.712167i | 0.265750 | − | 0.964042i | \(-0.414380\pi\) |
0.967760 | + | 0.251875i | \(0.0810470\pi\) | |||||||
\(152\) | 6.34924 | + | 3.66573i | 0.514991 | + | 0.297330i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 8.15277 | + | 3.24535i | 0.656969 | + | 0.261518i | ||||
\(155\) | −0.968125 | −0.0777617 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.73267 | + | 1.57771i | −0.218091 | + | 0.125915i | −0.605066 | − | 0.796175i | \(-0.706853\pi\) |
0.386975 | + | 0.922090i | \(0.373520\pi\) | |||||||
\(158\) | −5.05294 | − | 8.75195i | −0.401990 | − | 0.696268i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.224179 | −0.0177229 | ||||||||
\(161\) | −5.09138 | + | 11.8039i | −0.401257 | + | 0.930281i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.07127 | + | 10.5158i | −0.475539 | + | 0.823657i | −0.999607 | − | 0.0280187i | \(-0.991080\pi\) |
0.524069 | + | 0.851676i | \(0.324414\pi\) | |||||||
\(164\) | −0.284466 | − | 0.492709i | −0.0222130 | − | 0.0384741i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −12.3752 | − | 7.14483i | −0.960503 | − | 0.554547i | ||||
\(167\) | 14.4274 | 1.11643 | 0.558213 | − | 0.829697i | \(-0.311487\pi\) | ||||
0.558213 | + | 0.829697i | \(0.311487\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.3163 | 0.947407 | ||||||||
\(170\) | −0.880633 | + | 1.52530i | −0.0675415 | + | 0.116985i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.53729 | + | 3.19696i | −0.422215 | + | 0.243766i | ||||
\(173\) | −1.80593 | + | 3.12796i | −0.137302 | + | 0.237815i | −0.926475 | − | 0.376357i | \(-0.877177\pi\) |
0.789172 | + | 0.614172i | \(0.210510\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −7.82052 | − | 10.5042i | −0.591176 | − | 0.794046i | ||||
\(176\) | 1.57614 | − | 2.91818i | 0.118806 | − | 0.219966i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.25571 | − | 9.10315i | −0.393932 | − | 0.682310i | ||||
\(179\) | 1.27355 | + | 2.20585i | 0.0951895 | + | 0.164873i | 0.909688 | − | 0.415293i | \(-0.136321\pi\) |
−0.814498 | + | 0.580166i | \(0.802988\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 6.92820i | − | 0.514969i | −0.966282 | − | 0.257485i | \(-0.917106\pi\) | ||
0.966282 | − | 0.257485i | \(-0.0828937\pi\) | |||||||
\(182\) | −12.2236 | − | 5.27238i | −0.906072 | − | 0.390815i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.20784 | + | 2.42940i | 0.310206 | + | 0.179098i | ||||
\(185\) | 0.0346003 | − | 0.0199765i | 0.00254387 | − | 0.00146870i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −13.6637 | − | 22.1873i | −0.999185 | − | 1.62250i | ||||
\(188\) | 3.38415i | 0.246815i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.64356 | −0.119236 | ||||||||
\(191\) | 0.339220 | − | 0.587546i | 0.0245451 | − | 0.0425133i | −0.853492 | − | 0.521106i | \(-0.825520\pi\) |
0.878037 | + | 0.478593i | \(0.158853\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −20.7803 | + | 11.9975i | −1.49580 | + | 0.863600i | −0.999988 | − | 0.00483004i | \(-0.998463\pi\) |
−0.495811 | + | 0.868430i | \(0.665129\pi\) | |||||||
\(194\) | −1.98061 | + | 3.43052i | −0.142200 | + | 0.246297i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.80394 | + | 5.09138i | 0.343139 | + | 0.363670i | ||||
\(197\) | − | 13.4945i | − | 0.961444i | −0.876873 | − | 0.480722i | \(-0.840375\pi\) | ||
0.876873 | − | 0.480722i | \(-0.159625\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 15.6225 | − | 9.01964i | 1.10745 | − | 0.639385i | 0.169280 | − | 0.985568i | \(-0.445856\pi\) |
0.938167 | + | 0.346183i | \(0.112522\pi\) | |||||||
\(200\) | −4.28660 | + | 2.47487i | −0.303109 | + | 0.175000i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.76728i | 0.476144i | ||||||||
\(203\) | −1.73828 | − | 14.8688i | −0.122004 | − | 1.04358i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.110455 | + | 0.0637712i | 0.00771451 | + | 0.00445398i | ||||
\(206\) | 7.21371 | + | 12.4945i | 0.502603 | + | 0.870533i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.51576 | + | 4.35743i | −0.174437 | + | 0.302134i | ||||
\(209\) | 11.5554 | − | 21.3946i | 0.799305 | − | 1.47989i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.1699i | 0.700124i | 0.936727 | + | 0.350062i | \(0.113839\pi\) | ||||
−0.936727 | + | 0.350062i | \(0.886161\pi\) | |||||||
\(212\) | 1.07478 | − | 1.86157i | 0.0738160 | − | 0.127853i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −8.63301 | − | 14.9528i | −0.590141 | − | 1.02215i | ||||
\(215\) | 0.716691 | − | 1.24134i | 0.0488779 | − | 0.0846590i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.16471 | − | 6.82322i | 0.622141 | − | 0.463191i | ||||
\(218\) | 3.31442 | 0.224481 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.0210981 | + | 0.743218i | 0.00142244 | + | 0.0501078i | ||||
\(221\) | 19.7651 | + | 34.2342i | 1.32955 | + | 2.30284i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 20.6489i | − | 1.38276i | −0.722494 | − | 0.691378i | \(-0.757004\pi\) | ||
0.722494 | − | 0.691378i | \(-0.242996\pi\) | |||||||
\(224\) | 2.12218 | − | 1.57999i | 0.141794 | − | 0.105567i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −15.0946 | − | 8.71486i | −1.00408 | − | 0.579704i | ||||
\(227\) | 1.61465 | + | 2.79665i | 0.107168 | + | 0.185620i | 0.914622 | − | 0.404310i | \(-0.132488\pi\) |
−0.807454 | + | 0.589931i | \(0.799155\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.90120 | − | 3.98441i | −0.456044 | − | 0.263297i | 0.254335 | − | 0.967116i | \(-0.418143\pi\) |
−0.710379 | + | 0.703819i | \(0.751477\pi\) | |||||||
\(230\) | −1.08924 | −0.0718223 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.65814 | −0.371475 | ||||||||
\(233\) | 9.88963 | + | 5.70978i | 0.647891 | + | 0.374060i | 0.787648 | − | 0.616126i | \(-0.211299\pi\) |
−0.139757 | + | 0.990186i | \(0.544632\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.379328 | − | 0.657015i | −0.0247446 | − | 0.0428589i | ||||
\(236\) | −2.00911 | − | 1.15996i | −0.130782 | − | 0.0755068i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.41366 | − | 20.6458i | −0.156455 | − | 1.33827i | ||||
\(239\) | − | 3.67272i | − | 0.237569i | −0.992920 | − | 0.118784i | \(-0.962100\pi\) | ||
0.992920 | − | 0.118784i | \(-0.0378997\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.4731 | − | 18.1399i | −0.674632 | − | 1.16850i | −0.976576 | − | 0.215171i | \(-0.930969\pi\) |
0.301945 | − | 0.953325i | \(-0.402364\pi\) | |||||||
\(242\) | −9.82295 | − | 4.95072i | −0.631443 | − | 0.318245i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −4.39568 | −0.281404 | ||||||||
\(245\) | −1.50335 | − | 0.449992i | −0.0960455 | − | 0.0287490i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −18.4442 | + | 31.9464i | −1.17358 | + | 2.03270i | ||||
\(248\) | −2.15927 | − | 3.73996i | −0.137114 | − | 0.237488i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.11526 | − | 1.93169i | 0.0705353 | − | 0.122171i | ||||
\(251\) | 20.8713i | 1.31739i | 0.752411 | + | 0.658694i | \(0.228891\pi\) | ||||
−0.752411 | + | 0.658694i | \(0.771109\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.65814 | − | 14.1788i | 0.481463 | − | 0.891416i | ||||
\(254\) | −4.11861 | + | 7.13364i | −0.258425 | + | 0.447605i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −17.0414 | − | 9.83888i | −1.06302 | − | 0.613732i | −0.136751 | − | 0.990605i | \(-0.543666\pi\) |
−0.926265 | + | 0.376873i | \(0.876999\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.186750 | + | 0.432966i | −0.0116041 | + | 0.0269032i | ||||
\(260\) | − | 1.12796i | − | 0.0699533i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.85334 | + | 1.07003i | −0.114500 | + | 0.0661066i | ||||
\(263\) | −18.4604 | + | 10.6581i | −1.13832 | + | 0.657209i | −0.946014 | − | 0.324126i | \(-0.894930\pi\) |
−0.192306 | + | 0.981335i | \(0.561597\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.481885i | 0.0296020i | ||||||||
\(266\) | 15.5587 | − | 11.5836i | 0.953965 | − | 0.710237i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.32907 | + | 7.49817i | −0.264440 | + | 0.458024i | ||||
\(269\) | 13.6201 | − | 7.86359i | 0.830434 | − | 0.479451i | −0.0235673 | − | 0.999722i | \(-0.507502\pi\) |
0.854001 | + | 0.520271i | \(0.174169\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.18151 | + | 14.1708i | −0.496991 | + | 0.860814i | −0.999994 | − | 0.00347047i | \(-0.998895\pi\) |
0.503003 | + | 0.864285i | \(0.332229\pi\) | |||||||
\(272\) | −7.85652 | −0.476371 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 11.3803i | − | 0.687506i | ||||||
\(275\) | 8.60834 | + | 13.9784i | 0.519102 | + | 0.842930i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.09136 | − | 3.51685i | 0.365994 | − | 0.211307i | −0.305713 | − | 0.952124i | \(-0.598895\pi\) |
0.671707 | + | 0.740817i | \(0.265561\pi\) | |||||||
\(278\) | 12.2108 | + | 7.04988i | 0.732353 | + | 0.422824i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.234910 | + | 0.544620i | −0.0140386 | + | 0.0325473i | ||||
\(281\) | − | 17.9643i | − | 1.07166i | −0.844325 | − | 0.535831i | \(-0.819998\pi\) | ||
0.844325 | − | 0.535831i | \(-0.180002\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.3239 | − | 17.8816i | −0.613693 | − | 1.06295i | −0.990612 | − | 0.136702i | \(-0.956350\pi\) |
0.376919 | − | 0.926246i | \(-0.376984\pi\) | |||||||
\(284\) | −5.84788 | − | 10.1288i | −0.347008 | − | 0.601035i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 14.6829 | + | 7.93040i | 0.868219 | + | 0.468934i | ||||
\(287\) | −1.49507 | + | 0.174786i | −0.0882511 | + | 0.0103173i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −22.3624 | + | 38.7329i | −1.31544 | + | 2.27840i | ||||
\(290\) | 1.09850 | − | 0.634218i | 0.0645061 | − | 0.0372426i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.25571 | + | 9.10315i | −0.307567 | + | 0.532722i | ||||
\(293\) | 5.05047 | 0.295051 | 0.147526 | − | 0.989058i | \(-0.452869\pi\) | ||||
0.147526 | + | 0.989058i | \(0.452869\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.520076 | 0.0302800 | ||||||||
\(296\) | 0.154343 | + | 0.0891097i | 0.00897098 | + | 0.00517940i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.86063 | + | 11.8830i | 0.397426 | + | 0.688362i | ||||
\(299\) | −12.2236 | + | 21.1719i | −0.706908 | + | 1.22440i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.96433 | + | 16.8023i | 0.113222 | + | 0.968467i | ||||
\(302\) | −17.5025 | −1.00716 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.66573 | − | 6.34924i | −0.210244 | − | 0.364154i | ||||
\(305\) | 0.853397 | − | 0.492709i | 0.0488654 | − | 0.0282124i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.61678 | −0.149348 | −0.0746738 | − | 0.997208i | \(-0.523792\pi\) | ||||
−0.0746738 | + | 0.997208i | \(0.523792\pi\) | |||||||
\(308\) | −5.43783 | − | 6.88694i | −0.309849 | − | 0.392420i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.838421 | + | 0.484063i | 0.0476191 | + | 0.0274929i | ||||
\(311\) | −15.6292 | + | 9.02354i | −0.886253 | + | 0.511678i | −0.872715 | − | 0.488230i | \(-0.837643\pi\) |
−0.0135378 | + | 0.999908i | \(0.504309\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.23405 | + | 3.59923i | 0.352370 | + | 0.203441i | 0.665728 | − | 0.746194i | \(-0.268121\pi\) |
−0.313359 | + | 0.949635i | \(0.601454\pi\) | |||||||
\(314\) | 3.15542 | 0.178070 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 10.1059i | 0.568500i | ||||||||
\(317\) | 15.5781 | − | 26.9821i | 0.874955 | − | 1.51547i | 0.0181453 | − | 0.999835i | \(-0.494224\pi\) |
0.856810 | − | 0.515632i | \(-0.172443\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.532504 | + | 18.7584i | 0.0298145 | + | 1.05027i | ||||
\(320\) | 0.194145 | + | 0.112089i | 0.0108530 | + | 0.00626599i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 10.3112 | − | 7.67683i | 0.574623 | − | 0.427813i | ||||
\(323\) | −57.5998 | −3.20494 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −12.4524 | − | 21.5682i | −0.690734 | − | 1.19639i | ||||
\(326\) | 10.5158 | − | 6.07127i | 0.582414 | − | 0.336257i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.568932i | 0.0314140i | ||||||||
\(329\) | 8.22145 | + | 3.54614i | 0.453263 | + | 0.195505i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.87847 | − | 10.1818i | 0.323110 | − | 0.559643i | −0.658018 | − | 0.753002i | \(-0.728605\pi\) |
0.981128 | + | 0.193359i | \(0.0619383\pi\) | |||||||
\(332\) | 7.14483 | + | 12.3752i | 0.392124 | + | 0.679178i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −12.4945 | − | 7.21371i | −0.683669 | − | 0.394716i | ||||
\(335\) | − | 1.94097i | − | 0.106047i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 23.0213i | − | 1.25405i | −0.779000 | − | 0.627024i | \(-0.784273\pi\) | ||
0.779000 | − | 0.627024i | \(-0.215727\pi\) | |||||||
\(338\) | −10.6662 | − | 6.15814i | −0.580166 | − | 0.334959i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.52530 | − | 0.880633i | 0.0827211 | − | 0.0477590i | ||||
\(341\) | −12.1958 | + | 7.51058i | −0.660442 | + | 0.406721i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.4029 | − | 6.33559i | 0.939667 | − | 0.342090i | ||||
\(344\) | 6.39391 | 0.344737 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.12796 | − | 1.80593i | 0.168160 | − | 0.0970874i | ||||
\(347\) | −25.6752 | + | 14.8236i | −1.37832 | + | 0.795771i | −0.991957 | − | 0.126577i | \(-0.959601\pi\) |
−0.386360 | + | 0.922348i | \(0.626268\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.53049 | −0.456627 | −0.228313 | − | 0.973588i | \(-0.573321\pi\) | ||||
−0.228313 | + | 0.973588i | \(0.573321\pi\) | |||||||
\(350\) | 1.52065 | + | 13.0072i | 0.0812822 | + | 0.695264i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.82407 | + | 1.73915i | −0.150523 | + | 0.0926969i | ||||
\(353\) | 23.5882 | − | 13.6187i | 1.25548 | − | 0.724849i | 0.283284 | − | 0.959036i | \(-0.408576\pi\) |
0.972192 | + | 0.234187i | \(0.0752428\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.27067 | + | 1.31097i | 0.120515 | + | 0.0695791i | ||||
\(356\) | 10.5114i | 0.557104i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 2.54710i | − | 0.134618i | ||||||
\(359\) | −15.2798 | − | 8.82178i | −0.806436 | − | 0.465596i | 0.0392810 | − | 0.999228i | \(-0.487493\pi\) |
−0.845717 | + | 0.533632i | \(0.820827\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.3752 | − | 30.0948i | −0.914485 | − | 1.58393i | ||||
\(362\) | −3.46410 | + | 6.00000i | −0.182069 | + | 0.315353i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.94974 | + | 10.6778i | 0.416680 | + | 0.559669i | ||||
\(365\) | − | 2.35644i | − | 0.123342i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.03328 | − | 3.48331i | 0.314934 | − | 0.181827i | −0.334198 | − | 0.942503i | \(-0.608465\pi\) |
0.649132 | + | 0.760675i | \(0.275132\pi\) | |||||||
\(368\) | −2.42940 | − | 4.20784i | −0.126641 | − | 0.219349i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.0399530 | −0.00207706 | ||||||||
\(371\) | −3.39627 | − | 4.56174i | −0.176325 | − | 0.236834i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −25.1206 | − | 14.5034i | −1.30069 | − | 0.750956i | −0.320170 | − | 0.947360i | \(-0.603740\pi\) |
−0.980523 | + | 0.196404i | \(0.937073\pi\) | |||||||
\(374\) | 0.739400 | + | 26.0466i | 0.0382335 | + | 1.34684i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.69208 | − | 2.93076i | 0.0872621 | − | 0.151142i | ||||
\(377\) | − | 28.4691i | − | 1.46623i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.7569 | −0.603914 | −0.301957 | − | 0.953322i | \(-0.597640\pi\) | ||||
−0.301957 | + | 0.953322i | \(0.597640\pi\) | |||||||
\(380\) | 1.42337 | + | 0.821781i | 0.0730171 | + | 0.0421565i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.587546 | + | 0.339220i | −0.0300615 | + | 0.0173560i | ||||
\(383\) | 24.8948 | + | 14.3730i | 1.27206 | + | 0.734426i | 0.975376 | − | 0.220549i | \(-0.0707848\pi\) |
0.296687 | + | 0.954975i | \(0.404118\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.82768 | + | 0.727539i | 0.0931472 | + | 0.0370788i | ||||
\(386\) | 23.9950 | 1.22132 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.43052 | − | 1.98061i | 0.174158 | − | 0.100550i | ||||
\(389\) | −15.4023 | − | 26.6775i | −0.780926 | − | 1.35260i | −0.931403 | − | 0.363990i | \(-0.881414\pi\) |
0.150477 | − | 0.988613i | \(-0.451919\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −38.1732 | −1.93050 | ||||||||
\(392\) | −1.61465 | − | 6.81123i | −0.0815520 | − | 0.344019i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.74725 | + | 11.6866i | −0.339922 | + | 0.588762i | ||||
\(395\) | −1.13276 | − | 1.96200i | −0.0569955 | − | 0.0987191i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −30.8496 | − | 17.8111i | −1.54830 | − | 0.893911i | −0.998272 | − | 0.0587644i | \(-0.981284\pi\) |
−0.550027 | − | 0.835147i | \(-0.685383\pi\) | |||||||
\(398\) | −18.0393 | −0.904227 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.94974 | 0.247487 | ||||||||
\(401\) | −1.53512 | + | 2.65891i | −0.0766602 | + | 0.132779i | −0.901807 | − | 0.432139i | \(-0.857759\pi\) |
0.825147 | + | 0.564918i | \(0.191092\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 18.8177 | − | 10.8644i | 0.937378 | − | 0.541195i | ||||
\(404\) | 3.38364 | − | 5.86063i | 0.168342 | − | 0.291577i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −5.92899 | + | 13.7459i | −0.294251 | + | 0.682196i | ||||
\(407\) | 0.280899 | − | 0.520076i | 0.0139236 | − | 0.0257792i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.51423 | + | 2.62272i | 0.0748737 | + | 0.129685i | 0.901031 | − | 0.433754i | \(-0.142811\pi\) |
−0.826158 | + | 0.563439i | \(0.809478\pi\) | |||||||
\(410\) | −0.0637712 | − | 0.110455i | −0.00314944 | − | 0.00545499i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | − | 14.4274i | − | 0.710788i | ||||||
\(413\) | −4.92328 | + | 3.66543i | −0.242259 | + | 0.180364i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.77426 | − | 1.60172i | −0.136183 | − | 0.0786254i | ||||
\(416\) | 4.35743 | − | 2.51576i | 0.213641 | − | 0.123346i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −20.7046 | + | 12.7505i | −1.01269 | + | 0.623648i | ||||
\(419\) | 0.668585i | 0.0326625i | 0.999867 | + | 0.0163312i | \(0.00519863\pi\) | ||||
−0.999867 | + | 0.0163312i | \(0.994801\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.07771 | −0.393683 | −0.196842 | − | 0.980435i | \(-0.563068\pi\) | ||||
−0.196842 | + | 0.980435i | \(0.563068\pi\) | |||||||
\(422\) | 5.08494 | − | 8.80738i | 0.247531 | − | 0.428736i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.86157 | + | 1.07478i | −0.0904058 | + | 0.0521958i | ||||
\(425\) | 19.4439 | − | 33.6778i | 0.943166 | − | 1.63361i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.60609 | + | 10.6788i | −0.222904 | + | 0.516786i | ||||
\(428\) | 17.2660i | 0.834585i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.24134 | + | 0.716691i | −0.0598630 | + | 0.0345619i | ||||
\(431\) | 8.26452 | − | 4.77152i | 0.398088 | − | 0.229836i | −0.287571 | − | 0.957759i | \(-0.592848\pi\) |
0.685659 | + | 0.727923i | \(0.259514\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.729857i | 0.0350747i | 0.999846 | + | 0.0175374i | \(0.00558260\pi\) | ||||
−0.999846 | + | 0.0175374i | \(0.994417\pi\) | |||||||
\(434\) | −11.3485 | + | 1.32673i | −0.544745 | + | 0.0636852i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.87038 | − | 1.65721i | −0.137466 | − | 0.0793661i | ||||
\(437\) | −17.8111 | − | 30.8496i | −0.852018 | − | 1.47574i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.9809 | + | 22.4835i | −0.619542 | + | 1.07308i | 0.370027 | + | 0.929021i | \(0.379348\pi\) |
−0.989569 | + | 0.144058i | \(0.953985\pi\) | |||||||
\(440\) | 0.353338 | − | 0.654195i | 0.0168447 | − | 0.0311875i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | − | 39.5303i | − | 1.88026i | ||||||
\(443\) | −8.80056 | + | 15.2430i | −0.418127 | + | 0.724218i | −0.995751 | − | 0.0920854i | \(-0.970647\pi\) |
0.577624 | + | 0.816303i | \(0.303980\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.17822 | − | 2.04074i | −0.0558530 | − | 0.0967402i | ||||
\(446\) | −10.3245 | + | 17.8825i | −0.488878 | + | 0.846761i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.62785 | + | 0.307218i | −0.124154 | + | 0.0145147i | ||||
\(449\) | 8.92251 | 0.421079 | 0.210540 | − | 0.977585i | \(-0.432478\pi\) | ||||
0.210540 | + | 0.977585i | \(0.432478\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.88617 | − | 0.0535438i | 0.0888164 | − | 0.00252128i | ||||
\(452\) | 8.71486 | + | 15.0946i | 0.409913 | + | 0.709990i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | − | 3.22930i | − | 0.151558i | ||||||
\(455\) | −2.74027 | − | 1.18196i | −0.128466 | − | 0.0554110i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 24.3327 | + | 14.0485i | 1.13823 | + | 0.657160i | 0.945993 | − | 0.324188i | \(-0.105091\pi\) |
0.192241 | + | 0.981348i | \(0.438424\pi\) | |||||||
\(458\) | 3.98441 | + | 6.90120i | 0.186179 | + | 0.322472i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.943309 | + | 0.544620i | 0.0439820 | + | 0.0253930i | ||||
\(461\) | 18.7712 | 0.874262 | 0.437131 | − | 0.899398i | \(-0.355995\pi\) | ||||
0.437131 | + | 0.899398i | \(0.355995\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.57221 | 0.351911 | 0.175955 | − | 0.984398i | \(-0.443699\pi\) | ||||
0.175955 | + | 0.984398i | \(0.443699\pi\) | |||||||
\(464\) | 4.90010 | + | 2.82907i | 0.227481 | + | 0.131336i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5.70978 | − | 9.88963i | −0.264501 | − | 0.458128i | ||||
\(467\) | −34.4353 | − | 19.8812i | −1.59347 | − | 0.919993i | −0.992705 | − | 0.120571i | \(-0.961527\pi\) |
−0.600770 | − | 0.799422i | \(-0.705139\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.6797 | + | 18.3741i | 0.631672 | + | 0.848439i | ||||
\(470\) | 0.758655i | 0.0349942i | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.15996 | + | 2.00911i | 0.0533914 | + | 0.0924766i | ||||
\(473\) | −0.601750 | − | 21.1977i | −0.0276685 | − | 0.974670i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 36.2889 | 1.66505 | ||||||||
\(476\) | −8.23260 | + | 19.0866i | −0.377340 | + | 0.874833i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.83636 | + | 3.18067i | −0.0839933 | + | 0.145481i | ||||
\(479\) | 9.30307 | + | 16.1134i | 0.425068 | + | 0.736239i | 0.996427 | − | 0.0844611i | \(-0.0269169\pi\) |
−0.571359 | + | 0.820700i | \(0.693584\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.448358 | + | 0.776579i | −0.0204434 | + | 0.0354089i | ||||
\(482\) | 20.9462i | 0.954073i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.03156 | + | 9.19893i | 0.274162 | + | 0.418133i | ||||
\(485\) | −0.444012 | + | 0.769051i | −0.0201615 | + | 0.0349208i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.2345 | − | 17.7266i | −0.463768 | − | 0.803270i | 0.535377 | − | 0.844613i | \(-0.320170\pi\) |
−0.999145 | + | 0.0413435i | \(0.986836\pi\) | |||||||
\(488\) | 3.80677 | + | 2.19784i | 0.172324 | + | 0.0994915i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.07694 | + | 1.14138i | 0.0486513 | + | 0.0515623i | ||||
\(491\) | 29.5933i | 1.33553i | 0.744373 | + | 0.667764i | \(0.232748\pi\) | ||||
−0.744373 | + | 0.667764i | \(0.767252\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 38.4977 | − | 22.2266i | 1.73385 | − | 1.00104i | ||||
\(494\) | 31.9464 | − | 18.4442i | 1.43734 | − | 0.829846i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4.31854i | 0.193908i | ||||||||
\(497\) | −30.7347 | + | 3.59314i | −1.37864 | + | 0.161175i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.72298 | + | 6.44839i | −0.166664 | + | 0.288670i | −0.937245 | − | 0.348672i | \(-0.886633\pi\) |
0.770581 | + | 0.637342i | \(0.219966\pi\) | |||||||
\(500\) | −1.93169 | + | 1.11526i | −0.0863878 | + | 0.0498760i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 10.4357 | − | 18.0751i | 0.465767 | − | 0.806732i | ||||
\(503\) | −8.83120 | −0.393764 | −0.196882 | − | 0.980427i | \(-0.563082\pi\) | ||||
−0.196882 | + | 0.980427i | \(0.563082\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.51708i | 0.0675092i | ||||||||
\(506\) | −13.7216 | + | 8.45017i | −0.609998 | + | 0.375656i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 7.13364 | − | 4.11861i | 0.316504 | − | 0.182734i | ||||
\(509\) | 2.15760 | + | 1.24569i | 0.0956341 | + | 0.0552144i | 0.547054 | − | 0.837097i | \(-0.315749\pi\) |
−0.451420 | + | 0.892311i | \(0.649082\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 16.6079 | + | 22.3071i | 0.734690 | + | 0.986809i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 9.83888 | + | 17.0414i | 0.433974 | + | 0.751666i | ||||
\(515\) | 1.61716 | + | 2.80101i | 0.0712606 | + | 0.123427i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −9.87556 | − | 5.33390i | −0.434327 | − | 0.234584i | ||||
\(518\) | 0.378213 | − | 0.281584i | 0.0166177 | − | 0.0123721i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.563982 | + | 0.976845i | −0.0247322 | + | 0.0428375i | ||||
\(521\) | −8.03642 | + | 4.63983i | −0.352082 | + | 0.203275i | −0.665602 | − | 0.746307i | \(-0.731825\pi\) |
0.313520 | + | 0.949582i | \(0.398492\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.35899 | − | 7.55000i | 0.190605 | − | 0.330138i | −0.754846 | − | 0.655903i | \(-0.772288\pi\) |
0.945451 | + | 0.325764i | \(0.105622\pi\) | |||||||
\(524\) | 2.14006 | 0.0934888 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 21.3163 | 0.929434 | ||||||||
\(527\) | 29.3831 | + | 16.9643i | 1.27995 | + | 0.738978i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.303943 | − | 0.526445i | −0.0132149 | − | 0.0228889i | ||||
\(530\) | 0.240943 | − | 0.417325i | 0.0104659 | − | 0.0181274i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −19.2660 | + | 2.25236i | −0.835288 | + | 0.0976521i | ||||
\(533\) | −2.86260 | −0.123993 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.93534 | − | 3.35211i | −0.0836721 | − | 0.144924i | ||||
\(536\) | 7.49817 | − | 4.32907i | 0.323872 | − | 0.186987i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −15.7272 | −0.678047 | ||||||||
\(539\) | −22.4293 | + | 5.99405i | −0.966096 | + | 0.258182i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 38.5195 | + | 22.2392i | 1.65608 | + | 0.956139i | 0.974497 | + | 0.224398i | \(0.0720417\pi\) |
0.681583 | + | 0.731740i | \(0.261292\pi\) | |||||||
\(542\) | 14.1708 | − | 8.18151i | 0.608688 | − | 0.351426i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 6.80394 | + | 3.92826i | 0.291717 | + | 0.168423i | ||||
\(545\) | 0.743024 | 0.0318277 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 22.6133i | − | 0.966874i | −0.875379 | − | 0.483437i | \(-0.839388\pi\) | ||
0.875379 | − | 0.483437i | \(-0.160612\pi\) | |||||||
\(548\) | −5.69013 | + | 9.85559i | −0.243070 | + | 0.421010i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.465835 | − | 16.4098i | −0.0198633 | − | 0.699718i | ||||
\(551\) | 35.9249 | + | 20.7412i | 1.53045 | + | 0.883607i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 24.5512 | + | 10.5896i | 1.04402 | + | 0.450317i | ||||
\(554\) | −7.03370 | −0.298833 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.04988 | − | 12.2108i | −0.298982 | − | 0.517851i | ||||
\(557\) | −19.8094 | + | 11.4370i | −0.839351 | + | 0.484599i | −0.857044 | − | 0.515244i | \(-0.827701\pi\) |
0.0176926 | + | 0.999843i | \(0.494368\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 32.1712i | 1.36070i | ||||||||
\(560\) | 0.475748 | − | 0.354200i | 0.0201040 | − | 0.0149677i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −8.98216 | + | 15.5576i | −0.378890 | + | 0.656256i | ||||
\(563\) | −16.6837 | − | 28.8971i | −0.703136 | − | 1.21787i | −0.967360 | − | 0.253406i | \(-0.918449\pi\) |
0.264224 | − | 0.964461i | \(-0.414884\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.38389 | − | 1.95369i | −0.142361 | − | 0.0821923i | ||||
\(566\) | 20.6478i | 0.867894i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 11.6958i | 0.490743i | ||||||||
\(569\) | −31.7920 | − | 18.3551i | −1.33279 | − | 0.769487i | −0.347065 | − | 0.937841i | \(-0.612822\pi\) |
−0.985727 | + | 0.168354i | \(0.946155\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −14.9063 | + | 8.60618i | −0.623811 | + | 0.360158i | −0.778351 | − | 0.627829i | \(-0.783944\pi\) |
0.154540 | + | 0.987987i | \(0.450610\pi\) | |||||||
\(572\) | −8.75058 | − | 14.2094i | −0.365880 | − | 0.594124i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.38216 | + | 0.596165i | 0.0576903 | + | 0.0248835i | ||||
\(575\) | 24.0498 | 1.00295 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 34.1924 | − | 19.7410i | 1.42345 | − | 0.821827i | 0.426855 | − | 0.904320i | \(-0.359622\pi\) |
0.996592 | + | 0.0824929i | \(0.0262882\pi\) | |||||||
\(578\) | 38.7329 | − | 22.3624i | 1.61107 | − | 0.930154i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.26844 | −0.0526690 | ||||||||
\(581\) | 37.5512 | − | 4.39004i | 1.55788 | − | 0.182130i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.73840 | + | 6.07049i | 0.154829 | + | 0.251414i | ||||
\(584\) | 9.10315 | − | 5.25571i | 0.376691 | − | 0.217483i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.37383 | − | 2.52523i | −0.180681 | − | 0.104316i | ||||
\(587\) | − | 33.2111i | − | 1.37077i | −0.728182 | − | 0.685384i | \(-0.759634\pi\) | ||
0.728182 | − | 0.685384i | \(-0.240366\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 31.6612i | 1.30458i | ||||||||
\(590\) | −0.450399 | − | 0.260038i | −0.0185426 | − | 0.0107056i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.0891097 | − | 0.154343i | −0.00366239 | − | 0.00634344i | ||||
\(593\) | −7.18187 | + | 12.4394i | −0.294924 | + | 0.510823i | −0.974967 | − | 0.222349i | \(-0.928628\pi\) |
0.680043 | + | 0.733172i | \(0.261961\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.541093 | − | 4.62835i | −0.0221826 | − | 0.189744i | ||||
\(596\) | − | 13.7213i | − | 0.562045i | ||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 21.1719 | − | 12.2236i | 0.865782 | − | 0.499860i | ||||
\(599\) | −7.17073 | − | 12.4201i | −0.292988 | − | 0.507470i | 0.681527 | − | 0.731793i | \(-0.261316\pi\) |
−0.974515 | + | 0.224323i | \(0.927983\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.9630 | 0.447192 | 0.223596 | − | 0.974682i | \(-0.428220\pi\) | ||||
0.223596 | + | 0.974682i | \(0.428220\pi\) | |||||||
\(602\) | 6.69998 | − | 15.5334i | 0.273071 | − | 0.633092i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 15.1576 | + | 8.75126i | 0.616755 | + | 0.356084i | ||||
\(605\) | −2.20210 | − | 1.10985i | −0.0895281 | − | 0.0451217i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.89629 | + | 6.74857i | −0.158146 | + | 0.273916i | −0.934200 | − | 0.356750i | \(-0.883885\pi\) |
0.776054 | + | 0.630666i | \(0.217218\pi\) | |||||||
\(608\) | 7.33147i | 0.297330i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.985418 | −0.0398984 | ||||||||
\(611\) | 14.7462 | + | 8.51373i | 0.596568 | + | 0.344428i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −21.9788 | + | 12.6895i | −0.887715 | + | 0.512522i | −0.873194 | − | 0.487372i | \(-0.837955\pi\) |
−0.0145204 | + | 0.999895i | \(0.504622\pi\) | |||||||
\(614\) | 2.26620 | + | 1.30839i | 0.0914563 | + | 0.0528023i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.26583 | + | 8.68318i | 0.0510018 | + | 0.349855i | ||||
\(617\) | 41.0360 | 1.65205 | 0.826024 | − | 0.563635i | \(-0.190598\pi\) | ||||
0.826024 | + | 0.563635i | \(0.190598\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.48172 | − | 4.31957i | 0.300716 | − | 0.173618i | −0.342049 | − | 0.939682i | \(-0.611121\pi\) |
0.642764 | + | 0.766064i | \(0.277787\pi\) | |||||||
\(620\) | −0.484063 | − | 0.838421i | −0.0194404 | − | 0.0336718i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 18.0471 | 0.723622 | ||||||||
\(623\) | 25.5364 | + | 11.0146i | 1.02309 | + | 0.441290i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −12.1243 | + | 21.0000i | −0.484974 | + | 0.839999i | ||||
\(626\) | −3.59923 | − | 6.23405i | −0.143854 | − | 0.249163i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.73267 | − | 1.57771i | −0.109045 | − | 0.0629574i | ||||
\(629\) | −1.40018 | −0.0558290 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.12348 | −0.0447252 | −0.0223626 | − | 0.999750i | \(-0.507119\pi\) | ||||
−0.0223626 | + | 0.999750i | \(0.507119\pi\) | |||||||
\(632\) | 5.05294 | − | 8.75195i | 0.200995 | − | 0.348134i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −26.9821 | + | 15.5781i | −1.07160 | + | 0.618687i | ||||
\(635\) | −0.923306 | + | 1.59921i | −0.0366403 | + | 0.0634628i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 34.2709 | − | 8.12415i | 1.35786 | − | 0.321891i | ||||
\(638\) | 8.91803 | − | 16.5115i | 0.353068 | − | 0.653696i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.112089 | − | 0.194145i | −0.00443073 | − | 0.00767424i | ||||
\(641\) | 4.29911 | + | 7.44628i | 0.169805 | + | 0.294110i | 0.938351 | − | 0.345684i | \(-0.112353\pi\) |
−0.768546 | + | 0.639794i | \(0.779020\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 21.6511i | − | 0.853837i | −0.904290 | − | 0.426919i | \(-0.859599\pi\) | ||
0.904290 | − | 0.426919i | \(-0.140401\pi\) | |||||||
\(644\) | −12.7682 | + | 1.49271i | −0.503138 | + | 0.0588210i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 49.8829 | + | 28.7999i | 1.96262 | + | 1.13312i | ||||
\(647\) | −2.74766 | + | 1.58636i | −0.108022 | + | 0.0623664i | −0.553038 | − | 0.833156i | \(-0.686531\pi\) |
0.445016 | + | 0.895523i | \(0.353198\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.55160 | − | 4.03468i | 0.257173 | − | 0.158375i | ||||
\(650\) | 24.9048i | 0.976846i | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −12.1425 | −0.475539 | ||||||||
\(653\) | 14.7215 | − | 25.4983i | 0.576095 | − | 0.997826i | −0.419826 | − | 0.907604i | \(-0.637909\pi\) |
0.995922 | − | 0.0902218i | \(-0.0287576\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.415481 | + | 0.239878i | −0.0162342 | + | 0.00937280i | ||||
\(656\) | 0.284466 | − | 0.492709i | 0.0111065 | − | 0.0192371i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −5.34691 | − | 7.18177i | −0.208444 | − | 0.279975i | ||||
\(659\) | − | 0.469820i | − | 0.0183016i | −0.999958 | − | 0.00915080i | \(-0.997087\pi\) | ||
0.999958 | − | 0.00915080i | \(-0.00291283\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −6.13937 | + | 3.54456i | −0.238794 | + | 0.137868i | −0.614622 | − | 0.788822i | \(-0.710692\pi\) |
0.375829 | + | 0.926689i | \(0.377358\pi\) | |||||||
\(662\) | −10.1818 | + | 5.87847i | −0.395727 | + | 0.228473i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 14.2897i | − | 0.554547i | ||||||
\(665\) | 3.48793 | − | 2.59680i | 0.135256 | − | 0.100700i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 23.8086 | + | 13.7459i | 0.921871 | + | 0.532243i | ||||
\(668\) | 7.21371 | + | 12.4945i | 0.279107 | + | 0.483427i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.970487 | + | 1.68093i | −0.0374932 | + | 0.0649401i | ||||
\(671\) | 6.92820 | − | 12.8274i | 0.267460 | − | 0.495196i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 43.2330i | 1.66651i | 0.552889 | + | 0.833255i | \(0.313525\pi\) | ||||
−0.552889 | + | 0.833255i | \(0.686475\pi\) | |||||||
\(674\) | −11.5106 | + | 19.9370i | −0.443373 | + | 0.767944i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.15814 | + | 10.6662i | 0.236852 | + | 0.410239i | ||||
\(677\) | 10.8282 | − | 18.7550i | 0.416161 | − | 0.720812i | −0.579389 | − | 0.815051i | \(-0.696709\pi\) |
0.995550 | + | 0.0942398i | \(0.0300420\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.21696 | − | 10.4095i | −0.0467027 | − | 0.399481i | ||||
\(680\) | −1.76127 | −0.0675415 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 14.3172 | − | 0.406430i | 0.548234 | − | 0.0155630i | ||||
\(683\) | 8.93736 | + | 15.4800i | 0.341978 | + | 0.592324i | 0.984800 | − | 0.173692i | \(-0.0555697\pi\) |
−0.642822 | + | 0.766016i | \(0.722236\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 2.55121i | − | 0.0974769i | ||||||
\(686\) | −18.2391 | − | 3.21466i | −0.696373 | − | 0.122736i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.53729 | − | 3.19696i | −0.211107 | − | 0.121883i | ||||
\(689\) | −5.40778 | − | 9.36654i | −0.206020 | − | 0.356837i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.7085 | − | 9.06930i | −0.597579 | − | 0.345012i | 0.170510 | − | 0.985356i | \(-0.445459\pi\) |
−0.768089 | + | 0.640344i | \(0.778792\pi\) | |||||||
\(692\) | −3.61186 | −0.137302 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 29.6472 | 1.12539 | ||||||||
\(695\) | 2.73740 | + | 1.58044i | 0.103835 | + | 0.0599494i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.23491 | − | 3.87098i | −0.0846533 | − | 0.146624i | ||||
\(698\) | 7.38762 | + | 4.26524i | 0.279626 | + | 0.161442i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 5.18668 | − | 12.0249i | 0.196038 | − | 0.454498i | ||||
\(701\) | 37.5868i | 1.41963i | 0.704386 | + | 0.709817i | \(0.251222\pi\) | ||||
−0.704386 | + | 0.709817i | \(0.748778\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.653305 | − | 1.13156i | −0.0246399 | − | 0.0426775i | ||||
\(704\) | 3.31529 | − | 0.0941129i | 0.124950 | − | 0.00354701i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −27.2374 | −1.02509 | ||||||||
\(707\) | −10.6922 | − | 14.3614i | −0.402122 | − | 0.540115i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.63216 | − | 13.2193i | 0.286632 | − | 0.496461i | −0.686372 | − | 0.727251i | \(-0.740798\pi\) |
0.973004 | + | 0.230790i | \(0.0741311\pi\) | |||||||
\(710\) | −1.31097 | − | 2.27067i | −0.0491999 | − | 0.0852167i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 5.25571 | − | 9.10315i | 0.196966 | − | 0.341155i | ||||
\(713\) | 20.9829i | 0.785815i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.29160 | + | 1.77783i | 0.123099 | + | 0.0664870i | ||||
\(716\) | −1.27355 | + | 2.20585i | −0.0475947 | + | 0.0824365i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 8.82178 | + | 15.2798i | 0.329226 | + | 0.570236i | ||||
\(719\) | −30.5794 | − | 17.6550i | −1.14042 | − | 0.658422i | −0.193886 | − | 0.981024i | \(-0.562109\pi\) |
−0.946535 | + | 0.322602i | \(0.895443\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −35.0499 | − | 15.1180i | −1.30533 | − | 0.563025i | ||||
\(722\) | 34.7504i | 1.29328i | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 6.00000 | − | 3.46410i | 0.222988 | − | 0.128742i | ||||
\(725\) | −24.2542 | + | 14.0032i | −0.900779 | + | 0.520065i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 17.0371i | − | 0.631870i | −0.948781 | − | 0.315935i | \(-0.897682\pi\) | ||
0.948781 | − | 0.315935i | \(-0.102318\pi\) | |||||||
\(728\) | −1.54578 | − | 13.2221i | −0.0572903 | − | 0.490045i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.17822 | + | 2.04074i | −0.0436079 | + | 0.0755310i | ||||
\(731\) | −43.5038 | + | 25.1169i | −1.60905 | + | 0.928984i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −21.3208 | + | 36.9287i | −0.787501 | + | 1.36399i | 0.139992 | + | 0.990153i | \(0.455292\pi\) |
−0.927493 | + | 0.373839i | \(0.878041\pi\) | |||||||
\(734\) | −6.96663 | −0.257143 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.85879i | 0.179098i | ||||||||
\(737\) | −15.0578 | − | 24.4512i | −0.554661 | − | 0.900671i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −27.8460 | + | 16.0769i | −1.02433 | + | 0.591398i | −0.915356 | − | 0.402646i | \(-0.868091\pi\) |
−0.108976 | + | 0.994044i | \(0.534757\pi\) | |||||||
\(740\) | 0.0346003 | + | 0.0199765i | 0.00127193 | + | 0.000734351i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.660382 | + | 5.64872i | 0.0242434 | + | 0.207371i | ||||
\(743\) | − | 52.5029i | − | 1.92614i | −0.269243 | − | 0.963072i | \(-0.586774\pi\) | ||
0.269243 | − | 0.963072i | \(-0.413226\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.53801 | + | 2.66391i | 0.0563483 | + | 0.0975982i | ||||
\(746\) | 14.5034 | + | 25.1206i | 0.531006 | + | 0.919729i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 12.3830 | − | 22.9267i | 0.452766 | − | 0.838285i | ||||
\(749\) | 41.9460 | + | 18.0925i | 1.53268 | + | 0.661087i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 12.3478 | − | 21.3871i | 0.450579 | − | 0.780426i | −0.547843 | − | 0.836581i | \(-0.684551\pi\) |
0.998422 | + | 0.0561550i | \(0.0178841\pi\) | |||||||
\(752\) | −2.93076 | + | 1.69208i | −0.106874 | + | 0.0617036i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −14.2346 | + | 24.6550i | −0.518392 | + | 0.897881i | ||||
\(755\) | −3.92370 | −0.142798 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 40.8108 | 1.48329 | 0.741647 | − | 0.670791i | \(-0.234045\pi\) | ||||
0.741647 | + | 0.670791i | \(0.234045\pi\) | |||||||
\(758\) | 10.1818 | + | 5.87847i | 0.369820 | + | 0.213516i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.821781 | − | 1.42337i | −0.0298091 | − | 0.0516309i | ||||
\(761\) | 21.0095 | − | 36.3894i | 0.761592 | − | 1.31912i | −0.180438 | − | 0.983586i | \(-0.557751\pi\) |
0.942030 | − | 0.335530i | \(-0.108915\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −7.03380 | + | 5.23674i | −0.254641 | + | 0.189583i | ||||
\(764\) | 0.678440 | 0.0245451 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −14.3730 | − | 24.8948i | −0.519318 | − | 0.899484i | ||||
\(767\) | −10.1089 | + | 5.83636i | −0.365010 | + | 0.210739i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 15.6284 | 0.563574 | 0.281787 | − | 0.959477i | \(-0.409073\pi\) | ||||
0.281787 | + | 0.959477i | \(0.409073\pi\) | |||||||
\(770\) | −1.21905 | − | 1.54391i | −0.0439314 | − | 0.0556386i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −20.7803 | − | 11.9975i | −0.747900 | − | 0.431800i | ||||
\(773\) | 2.74004 | − | 1.58196i | 0.0985523 | − | 0.0568992i | −0.449914 | − | 0.893072i | \(-0.648545\pi\) |
0.548466 | + | 0.836173i | \(0.315212\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −18.5119 | − | 10.6878i | −0.664965 | − | 0.383918i | ||||
\(776\) | −3.96123 | −0.142200 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 30.8045i | 1.10440i | ||||||||
\(779\) | 2.08555 | − | 3.61228i | 0.0747226 | − | 0.129423i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 38.7748 | − | 1.10072i | 1.38747 | − | 0.0393869i | ||||
\(782\) | 33.0590 | + | 19.0866i | 1.18219 | + | 0.682535i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2.00729 | + | 6.70603i | −0.0716890 | + | 0.239501i | ||||
\(785\) | 0.707378 | 0.0252474 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 18.2920 | + | 31.6827i | 0.652039 | + | 1.12936i | 0.982627 | + | 0.185590i | \(0.0594195\pi\) |
−0.330588 | + | 0.943775i | \(0.607247\pi\) | |||||||
\(788\) | 11.6866 | − | 6.74725i | 0.416317 | − | 0.240361i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.26553i | 0.0806038i | ||||||||
\(791\) | 45.8028 | − | 5.35473i | 1.62856 | − | 0.190392i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −11.0585 | + | 19.1539i | −0.392698 | + | 0.680174i | ||||
\(794\) | 17.8111 | + | 30.8496i | 0.632091 | + | 1.09481i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 15.6225 | + | 9.01964i | 0.553724 | + | 0.319693i | ||||
\(797\) | − | 8.72925i | − | 0.309206i | −0.987977 | − | 0.154603i | \(-0.950590\pi\) | ||
0.987977 | − | 0.154603i | \(-0.0494098\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 26.5876i | 0.940603i | ||||||||
\(800\) | −4.28660 | − | 2.47487i | −0.151554 | − | 0.0874999i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 2.65891 | − | 1.53512i | 0.0938892 | − | 0.0542070i | ||||
\(803\) | −18.2809 | − | 29.6850i | −0.645120 | − | 1.04756i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.31156 | − | 1.72098i | 0.0814719 | − | 0.0606567i | ||||
\(806\) | −21.7288 | −0.765366 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −5.86063 | + | 3.38364i | −0.206176 | + | 0.119036i | ||||
\(809\) | −25.2367 | + | 14.5704i | −0.887275 | + | 0.512269i | −0.873050 | − | 0.487630i | \(-0.837861\pi\) |
−0.0142249 | + | 0.999899i | \(0.504528\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 32.7260 | 1.14917 | 0.574583 | − | 0.818446i | \(-0.305164\pi\) | ||||
0.574583 | + | 0.818446i | \(0.305164\pi\) | |||||||
\(812\) | 12.0076 | − | 8.93978i | 0.421384 | − | 0.313725i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.503304 | + | 0.309950i | −0.0176408 | + | 0.0108637i | ||||
\(815\) | 2.35741 | − | 1.36105i | 0.0825765 | − | 0.0476756i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −40.5965 | − | 23.4384i | −1.42029 | − | 0.820006i | ||||
\(818\) | − | 3.02845i | − | 0.105887i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.127542i | 0.00445398i | ||||||||
\(821\) | −10.8680 | − | 6.27462i | −0.379294 | − | 0.218986i | 0.298217 | − | 0.954498i | \(-0.403608\pi\) |
−0.677511 | + | 0.735512i | \(0.736941\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.32728 | − | 4.03096i | −0.0811237 | − | 0.140510i | 0.822609 | − | 0.568607i | \(-0.192518\pi\) |
−0.903733 | + | 0.428097i | \(0.859184\pi\) | |||||||
\(824\) | −7.21371 | + | 12.4945i | −0.251301 | + | 0.435267i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 6.09640 | − | 0.712720i | 0.212121 | − | 0.0247987i | ||||
\(827\) | − | 1.60601i | − | 0.0558463i | −0.999610 | − | 0.0279232i | \(-0.991111\pi\) | ||
0.999610 | − | 0.0279232i | \(-0.00888938\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 30.6111 | − | 17.6733i | 1.06317 | − | 0.613819i | 0.136860 | − | 0.990590i | \(-0.456299\pi\) |
0.926306 | + | 0.376771i | \(0.122966\pi\) | |||||||
\(830\) | 1.60172 | + | 2.77426i | 0.0555966 | + | 0.0962961i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −5.03153 | −0.174437 | ||||||||
\(833\) | 37.7423 | + | 40.0005i | 1.30769 | + | 1.38594i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.80101 | − | 1.61716i | −0.0969328 | − | 0.0559642i | ||||
\(836\) | 24.3059 | − | 0.689986i | 0.840638 | − | 0.0238637i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.334292 | − | 0.579011i | 0.0115479 | − | 0.0200016i | ||||
\(839\) | 20.3870i | 0.703837i | 0.936031 | + | 0.351918i | \(0.114471\pi\) | ||||
−0.936031 | + | 0.351918i | \(0.885529\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.01458 | −0.103951 | ||||||||
\(842\) | 6.99550 | + | 4.03885i | 0.241081 | + | 0.139188i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −8.80738 | + | 5.08494i | −0.303162 | + | 0.175031i | ||||
\(845\) | −2.39114 | − | 1.38053i | −0.0822578 | − | 0.0474915i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 28.6681 | − | 5.01380i | 0.985049 | − | 0.172276i | ||||
\(848\) | 2.14956 | 0.0738160 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −33.6778 | + | 19.4439i | −1.15514 | + | 0.666919i | ||||
\(851\) | −0.432966 | − | 0.749919i | −0.0148419 | − | 0.0257069i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 13.6020 | 0.465723 | 0.232861 | − | 0.972510i | \(-0.425191\pi\) | ||||
0.232861 | + | 0.972510i | \(0.425191\pi\) | |||||||
\(854\) | 9.32841 | − | 6.94511i | 0.319212 | − | 0.237657i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 8.63301 | − | 14.9528i | 0.295070 | − | 0.511077i | ||||
\(857\) | −14.5169 | − | 25.1439i | −0.495886 | − | 0.858900i | 0.504102 | − | 0.863644i | \(-0.331823\pi\) |
−0.999989 | + | 0.00474364i | \(0.998490\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 17.6354 | + | 10.1818i | 0.601713 | + | 0.347399i | 0.769715 | − | 0.638388i | \(-0.220398\pi\) |
−0.168002 | + | 0.985787i | \(0.553732\pi\) | |||||||
\(860\) | 1.43338 | 0.0488779 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −9.54305 | −0.325038 | ||||||||
\(863\) | 3.55527 | − | 6.15791i | 0.121023 | − | 0.209618i | −0.799148 | − | 0.601134i | \(-0.794716\pi\) |
0.920171 | + | 0.391516i | \(0.128049\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.701224 | − | 0.404852i | 0.0238423 | − | 0.0137654i | ||||
\(866\) | 0.364929 | − | 0.632075i | 0.0124008 | − | 0.0214788i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 10.4914 | + | 4.52526i | 0.356103 | + | 0.153597i | ||||
\(869\) | −29.4908 | − | 15.9283i | −1.00041 | − | 0.540330i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 21.7818 | + | 37.7273i | 0.738050 | + | 1.27834i | ||||
\(872\) | 1.65721 | + | 2.87038i | 0.0561203 | + | 0.0972032i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 35.6221i | 1.20494i | ||||||||
\(875\) | 0.685257 | + | 5.86149i | 0.0231659 | + | 0.198155i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −19.7715 | − | 11.4151i | −0.667636 | − | 0.385460i | 0.127544 | − | 0.991833i | \(-0.459291\pi\) |
−0.795180 | + | 0.606373i | \(0.792624\pi\) | |||||||
\(878\) | 22.4835 | − | 12.9809i | 0.758781 | − | 0.438082i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.633097 | + | 0.389881i | −0.0213417 | + | 0.0131429i | ||||
\(881\) | − | 28.5824i | − | 0.962967i | −0.876455 | − | 0.481483i | \(-0.840098\pi\) | ||
0.876455 | − | 0.481483i | \(-0.159902\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 40.1298 | 1.35048 | 0.675238 | − | 0.737600i | \(-0.264041\pi\) | ||||
0.675238 | + | 0.737600i | \(0.264041\pi\) | |||||||
\(884\) | −19.7651 | + | 34.2342i | −0.664774 | + | 1.15142i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 15.2430 | − | 8.80056i | 0.512099 | − | 0.295661i | ||||
\(887\) | 8.30087 | − | 14.3775i | 0.278716 | − | 0.482750i | −0.692350 | − | 0.721562i | \(-0.743425\pi\) |
0.971066 | + | 0.238812i | \(0.0767579\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.53062 | − | 21.6462i | −0.0848744 | − | 0.725991i | ||||
\(890\) | 2.35644i | 0.0789880i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 17.8825 | − | 10.3245i | 0.598751 | − | 0.345689i | ||||
\(893\) | −21.4868 | + | 12.4054i | −0.719028 | + | 0.415131i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 0.571006i | − | 0.0190866i | ||||||
\(896\) | 2.42940 | + | 1.04787i | 0.0811605 | + | 0.0350068i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −7.72712 | − | 4.46125i | −0.257857 | − | 0.148874i | ||||
\(899\) | −12.2174 | − | 21.1612i | −0.407475 | − | 0.705767i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 8.44401 | − | 14.6255i | 0.281311 | − | 0.487245i | ||||
\(902\) | −1.66025 | − | 0.896716i | −0.0552801 | − | 0.0298574i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 17.4297i | − | 0.579704i | ||||||
\(905\) | −0.776579 | + | 1.34507i | −0.0258144 | + | 0.0447118i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −12.6308 | − | 21.8771i | −0.419398 | − | 0.726419i | 0.576481 | − | 0.817111i | \(-0.304425\pi\) |
−0.995879 | + | 0.0906919i | \(0.971092\pi\) | |||||||
\(908\) | −1.61465 | + | 2.79665i | −0.0535840 | + | 0.0928102i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.78217 | + | 2.39374i | 0.0590782 | + | 0.0793517i | ||||
\(911\) | 0.530745 | 0.0175844 | 0.00879219 | − | 0.999961i | \(-0.497201\pi\) | ||||
0.00879219 | + | 0.999961i | \(0.497201\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −47.3744 | + | 1.34484i | −1.56786 | + | 0.0445078i | ||||
\(914\) | −14.0485 | − | 24.3327i | −0.464682 | − | 0.804853i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | − | 7.96882i | − | 0.263297i | ||||||
\(917\) | 2.24250 | − | 5.19905i | 0.0740538 | − | 0.171688i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 21.2350 | + | 12.2601i | 0.700480 | + | 0.404422i | 0.807526 | − | 0.589832i | \(-0.200806\pi\) |
−0.107046 | + | 0.994254i | \(0.534139\pi\) | |||||||
\(920\) | −0.544620 | − | 0.943309i | −0.0179556 | − | 0.0311000i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −16.2563 | − | 9.38560i | −0.535374 | − | 0.309098i | ||||
\(923\) | −58.8475 | −1.93699 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.882140 | 0.0290046 | ||||||||
\(926\) | −6.55773 | − | 3.78611i | −0.215500 | − | 0.124419i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −2.82907 | − | 4.90010i | −0.0928688 | − | 0.160854i | ||||
\(929\) | −20.0150 | − | 11.5557i | −0.656671 | − | 0.379129i | 0.134336 | − | 0.990936i | \(-0.457110\pi\) |
−0.791008 | + | 0.611806i | \(0.790443\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −14.7164 | + | 49.1650i | −0.482310 | + | 1.61132i | ||||
\(932\) | 11.4196i | 0.374060i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 19.8812 | + | 34.4353i | 0.650533 | + | 1.12676i | ||||
\(935\) | 0.165758 | + | 5.83911i | 0.00542086 | + | 0.190959i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −21.7695 | −0.711180 | −0.355590 | − | 0.934642i | \(-0.615720\pi\) | ||||
−0.355590 | + | 0.934642i | \(0.615720\pi\) | |||||||
\(938\) | −2.65994 | − | 22.7523i | −0.0868500 | − | 0.742890i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.379328 | − | 0.657015i | 0.0123723 | − | 0.0214295i | ||||
\(941\) | 5.39515 | + | 9.34467i | 0.175877 | + | 0.304628i | 0.940464 | − | 0.339892i | \(-0.110391\pi\) |
−0.764588 | + | 0.644520i | \(0.777057\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.38216 | − | 2.39397i | 0.0450093 | − | 0.0779585i | ||||
\(944\) | − | 2.31992i | − | 0.0755068i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −10.0777 | + | 18.6586i | −0.327655 | + | 0.606643i | ||||
\(947\) | 4.56068 | − | 7.89933i | 0.148202 | − | 0.256694i | −0.782361 | − | 0.622825i | \(-0.785985\pi\) |
0.930563 | + | 0.366132i | \(0.119318\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 26.4442 | + | 45.8028i | 0.858417 | + | 1.48682i | ||||
\(950\) | −31.4271 | − | 18.1444i | −1.01963 | − | 0.588684i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 16.6729 | − | 12.4132i | 0.540373 | − | 0.402314i | ||||
\(953\) | 48.6873i | 1.57714i | 0.614947 | + | 0.788568i | \(0.289177\pi\) | ||||
−0.614947 | + | 0.788568i | \(0.710823\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.131715 | + | 0.0760460i | −0.00426221 | + | 0.00246079i | ||||
\(956\) | 3.18067 | − | 1.83636i | 0.102870 | − | 0.0593922i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 18.6061i | − | 0.601137i | ||||||
\(959\) | 17.9806 | + | 24.1509i | 0.580625 | + | 0.779874i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −6.17512 | + | 10.6956i | −0.199198 | + | 0.345020i | ||||
\(962\) | 0.776579 | − | 0.448358i | 0.0250379 | − | 0.0144556i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 10.4731 | − | 18.1399i | 0.337316 | − | 0.584248i | ||||
\(965\) | 5.37918 | 0.173162 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 38.8957i | − | 1.25080i | −0.780304 | − | 0.625401i | \(-0.784935\pi\) | ||
0.780304 | − | 0.625401i | \(-0.215065\pi\) | |||||||
\(968\) | −0.624023 | − | 10.9823i | −0.0200569 | − | 0.352984i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.769051 | − | 0.444012i | 0.0246928 | − | 0.0142564i | ||||
\(971\) | −15.1953 | − | 8.77301i | −0.487640 | − | 0.281539i | 0.235955 | − | 0.971764i | \(-0.424178\pi\) |
−0.723595 | + | 0.690225i | \(0.757512\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −37.0521 | + | 4.33170i | −1.18784 | + | 0.138868i | ||||
\(974\) | 20.4689i | 0.655867i | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.19784 | − | 3.80677i | −0.0703511 | − | 0.121852i | ||||
\(977\) | 30.2650 | + | 52.4205i | 0.968263 | + | 1.67708i | 0.700580 | + | 0.713574i | \(0.252925\pi\) |
0.267683 | + | 0.963507i | \(0.413742\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −30.6742 | − | 16.5675i | −0.980352 | − | 0.529499i | ||||
\(980\) | −0.361970 | − | 1.52694i | −0.0115627 | − | 0.0487762i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 14.7967 | − | 25.6286i | 0.472180 | − | 0.817840i | ||||
\(983\) | −33.6952 | + | 19.4539i | −1.07471 | + | 0.620484i | −0.929464 | − | 0.368912i | \(-0.879730\pi\) |
−0.145245 | + | 0.989396i | \(0.546397\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.51259 | + | 2.61989i | −0.0481952 | + | 0.0834765i | ||||
\(986\) | −44.4533 | −1.41568 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −36.8885 | −1.17358 | ||||||||
\(989\) | −26.9046 | − | 15.5334i | −0.855515 | − | 0.493932i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.41269 | − | 12.8391i | −0.235472 | − | 0.407849i | 0.723938 | − | 0.689865i | \(-0.242330\pi\) |
−0.959410 | + | 0.282016i | \(0.908997\pi\) | |||||||
\(992\) | 2.15927 | − | 3.73996i | 0.0685568 | − | 0.118744i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 28.4136 | + | 12.2556i | 0.901225 | + | 0.388724i | ||||
\(995\) | −4.04403 | −0.128204 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.94741 | − | 5.10507i | −0.0933456 | − | 0.161679i | 0.815571 | − | 0.578657i | \(-0.196423\pi\) |
−0.908917 | + | 0.416977i | \(0.863089\pi\) | |||||||
\(998\) | 6.44839 | − | 3.72298i | 0.204120 | − | 0.117849i | ||||
\(999\) | 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 | 1386.2.bk.d.901.1 | yes | 32 | |
3.2 | odd | 2 | inner | 1386.2.bk.d.901.10 | yes | 32 | |
7.3 | odd | 6 | inner | 1386.2.bk.d.703.9 | yes | 32 | |
11.10 | odd | 2 | inner | 1386.2.bk.d.901.9 | yes | 32 | |
21.17 | even | 6 | inner | 1386.2.bk.d.703.2 | yes | 32 | |
33.32 | even | 2 | inner | 1386.2.bk.d.901.2 | yes | 32 | |
77.10 | even | 6 | inner | 1386.2.bk.d.703.1 | ✓ | 32 | |
231.164 | odd | 6 | inner | 1386.2.bk.d.703.10 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1386.2.bk.d.703.1 | ✓ | 32 | 77.10 | even | 6 | inner | |
1386.2.bk.d.703.2 | yes | 32 | 21.17 | even | 6 | inner | |
1386.2.bk.d.703.9 | yes | 32 | 7.3 | odd | 6 | inner | |
1386.2.bk.d.703.10 | yes | 32 | 231.164 | odd | 6 | inner | |
1386.2.bk.d.901.1 | yes | 32 | 1.1 | even | 1 | trivial | |
1386.2.bk.d.901.2 | yes | 32 | 33.32 | even | 2 | inner | |
1386.2.bk.d.901.9 | yes | 32 | 11.10 | odd | 2 | inner | |
1386.2.bk.d.901.10 | yes | 32 | 3.2 | odd | 2 | inner |