Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(81,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.81");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.g (of order \(5\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 511.2 | ||
Character | \(\chi\) | \(=\) | 605.511 |
Dual form | 605.2.g.q.251.2 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.424181 | − | 1.30550i | −0.299942 | − | 0.923125i | −0.981517 | − | 0.191377i | \(-0.938705\pi\) |
0.681575 | − | 0.731748i | \(-0.261295\pi\) | |||||||
\(3\) | −2.63885 | − | 1.91724i | −1.52354 | − | 1.10692i | −0.959696 | − | 0.281039i | \(-0.909321\pi\) |
−0.563846 | − | 0.825880i | \(-0.690679\pi\) | |||||||
\(4\) | 0.0936432 | − | 0.0680358i | 0.0468216 | − | 0.0340179i | ||||
\(5\) | 0.309017 | − | 0.951057i | 0.138197 | − | 0.425325i | ||||
\(6\) | −1.38360 | + | 4.25827i | −0.564851 | + | 1.73843i | ||||
\(7\) | −1.11052 | + | 0.806841i | −0.419738 | + | 0.304957i | −0.777532 | − | 0.628843i | \(-0.783529\pi\) |
0.357795 | + | 0.933800i | \(0.383529\pi\) | |||||||
\(8\) | −2.34959 | − | 1.70707i | −0.830704 | − | 0.603542i | ||||
\(9\) | 2.36069 | + | 7.26546i | 0.786897 | + | 2.42182i | ||||
\(10\) | −1.37268 | −0.434080 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −0.377552 | −0.108990 | ||||||||
\(13\) | 0.597186 | + | 1.83795i | 0.165630 | + | 0.509756i | 0.999082 | − | 0.0428355i | \(-0.0136392\pi\) |
−0.833453 | + | 0.552591i | \(0.813639\pi\) | |||||||
\(14\) | 1.52439 | + | 1.10753i | 0.407411 | + | 0.296001i | ||||
\(15\) | −2.63885 | + | 1.91724i | −0.681349 | + | 0.495029i | ||||
\(16\) | −1.16039 | + | 3.57132i | −0.290098 | + | 0.892829i | ||||
\(17\) | −1.91883 | + | 5.90555i | −0.465384 | + | 1.43231i | 0.393114 | + | 0.919490i | \(0.371398\pi\) |
−0.858498 | + | 0.512816i | \(0.828602\pi\) | |||||||
\(18\) | 8.48367 | − | 6.16374i | 1.99962 | − | 1.45281i | ||||
\(19\) | 0.657590 | + | 0.477767i | 0.150861 | + | 0.109607i | 0.660656 | − | 0.750689i | \(-0.270278\pi\) |
−0.509794 | + | 0.860296i | \(0.670278\pi\) | |||||||
\(20\) | −0.0357685 | − | 0.110084i | −0.00799809 | − | 0.0246156i | ||||
\(21\) | 4.47741 | 0.977051 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.63935 | −0.758858 | −0.379429 | − | 0.925221i | \(-0.623880\pi\) | ||||
−0.379429 | + | 0.925221i | \(0.623880\pi\) | |||||||
\(24\) | 2.92734 | + | 9.00943i | 0.597541 | + | 1.83904i | ||||
\(25\) | −0.809017 | − | 0.587785i | −0.161803 | − | 0.117557i | ||||
\(26\) | 2.14612 | − | 1.55925i | 0.420889 | − | 0.305794i | ||||
\(27\) | 4.67625 | − | 14.3920i | 0.899944 | − | 2.76974i | ||||
\(28\) | −0.0490987 | + | 0.151110i | −0.00927879 | + | 0.0285572i | ||||
\(29\) | −6.33874 | + | 4.60536i | −1.17707 | + | 0.855195i | −0.991839 | − | 0.127500i | \(-0.959305\pi\) |
−0.185236 | + | 0.982694i | \(0.559305\pi\) | |||||||
\(30\) | 3.62230 | + | 2.63176i | 0.661339 | + | 0.480491i | ||||
\(31\) | −1.05309 | − | 3.24106i | −0.189140 | − | 0.582112i | 0.810855 | − | 0.585247i | \(-0.199002\pi\) |
−0.999995 | + | 0.00313447i | \(0.999002\pi\) | |||||||
\(32\) | −0.653939 | −0.115601 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 8.52360 | 1.46179 | ||||||||
\(35\) | 0.424181 | + | 1.30550i | 0.0716998 | + | 0.220669i | ||||
\(36\) | 0.715374 | + | 0.519749i | 0.119229 | + | 0.0866249i | ||||
\(37\) | 3.65967 | − | 2.65891i | 0.601647 | − | 0.437122i | −0.244816 | − | 0.969569i | \(-0.578728\pi\) |
0.846463 | + | 0.532448i | \(0.178728\pi\) | |||||||
\(38\) | 0.344786 | − | 1.06114i | 0.0559316 | − | 0.172140i | ||||
\(39\) | 1.94790 | − | 5.99503i | 0.311914 | − | 0.959973i | ||||
\(40\) | −2.34959 | + | 1.70707i | −0.371502 | + | 0.269912i | ||||
\(41\) | 1.47737 | + | 1.07338i | 0.230727 | + | 0.167633i | 0.697142 | − | 0.716933i | \(-0.254455\pi\) |
−0.466415 | + | 0.884566i | \(0.654455\pi\) | |||||||
\(42\) | −1.89923 | − | 5.84524i | −0.293058 | − | 0.901941i | ||||
\(43\) | 6.46243 | 0.985512 | 0.492756 | − | 0.870168i | \(-0.335990\pi\) | ||||
0.492756 | + | 0.870168i | \(0.335990\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 7.63935 | 1.13881 | ||||||||
\(46\) | 1.54375 | + | 4.75116i | 0.227613 | + | 0.700521i | ||||
\(47\) | −3.83328 | − | 2.78504i | −0.559142 | − | 0.406240i | 0.272003 | − | 0.962296i | \(-0.412314\pi\) |
−0.831145 | + | 0.556056i | \(0.812314\pi\) | |||||||
\(48\) | 9.90917 | − | 7.19943i | 1.43027 | − | 1.03915i | ||||
\(49\) | −1.58085 | + | 4.86537i | −0.225836 | + | 0.695052i | ||||
\(50\) | −0.424181 | + | 1.30550i | −0.0599883 | + | 0.184625i | ||||
\(51\) | 16.3859 | − | 11.9050i | 2.29448 | − | 1.66704i | ||||
\(52\) | 0.180969 | + | 0.131482i | 0.0250959 | + | 0.0182332i | ||||
\(53\) | −2.59403 | − | 7.98360i | −0.356317 | − | 1.09663i | −0.955242 | − | 0.295827i | \(-0.904405\pi\) |
0.598924 | − | 0.800806i | \(-0.295595\pi\) | |||||||
\(54\) | −20.7723 | −2.82675 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 3.98660 | 0.532732 | ||||||||
\(57\) | −0.819289 | − | 2.52151i | −0.108518 | − | 0.333983i | ||||
\(58\) | 8.70106 | + | 6.32169i | 1.14251 | + | 0.830079i | ||||
\(59\) | −0.902660 | + | 0.655821i | −0.117516 | + | 0.0853806i | −0.644991 | − | 0.764190i | \(-0.723139\pi\) |
0.527475 | + | 0.849571i | \(0.323139\pi\) | |||||||
\(60\) | −0.116670 | + | 0.359073i | −0.0150620 | + | 0.0463561i | ||||
\(61\) | 0.786410 | − | 2.42032i | 0.100689 | − | 0.309890i | −0.888005 | − | 0.459834i | \(-0.847909\pi\) |
0.988695 | + | 0.149943i | \(0.0479091\pi\) | |||||||
\(62\) | −3.78450 | + | 2.74960i | −0.480632 | + | 0.349199i | ||||
\(63\) | −8.48367 | − | 6.16374i | −1.06884 | − | 0.776559i | ||||
\(64\) | 2.59817 | + | 7.99635i | 0.324771 | + | 0.999543i | ||||
\(65\) | 1.93253 | 0.239701 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.73820 | 0.334524 | 0.167262 | − | 0.985912i | \(-0.446507\pi\) | ||||
0.167262 | + | 0.985912i | \(0.446507\pi\) | |||||||
\(68\) | 0.222103 | + | 0.683564i | 0.0269340 | + | 0.0828943i | ||||
\(69\) | 9.60372 | + | 6.97751i | 1.15615 | + | 0.839994i | ||||
\(70\) | 1.52439 | − | 1.10753i | 0.182200 | − | 0.132376i | ||||
\(71\) | −0.344786 | + | 1.06114i | −0.0409185 | + | 0.125934i | −0.969429 | − | 0.245372i | \(-0.921090\pi\) |
0.928511 | + | 0.371306i | \(0.121090\pi\) | |||||||
\(72\) | 6.85603 | − | 21.1007i | 0.807991 | − | 2.48674i | ||||
\(73\) | −10.0471 | + | 7.29966i | −1.17593 | + | 0.854361i | −0.991706 | − | 0.128524i | \(-0.958976\pi\) |
−0.184220 | + | 0.982885i | \(0.558976\pi\) | |||||||
\(74\) | −5.02356 | − | 3.64983i | −0.583977 | − | 0.424284i | ||||
\(75\) | 1.00795 | + | 3.10216i | 0.116388 | + | 0.358206i | ||||
\(76\) | 0.0940841 | 0.0107922 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −8.65275 | −0.979731 | ||||||||
\(79\) | −1.79492 | − | 5.52421i | −0.201945 | − | 0.621522i | −0.999825 | − | 0.0187059i | \(-0.994045\pi\) |
0.797880 | − | 0.602816i | \(-0.205955\pi\) | |||||||
\(80\) | 3.03794 | + | 2.20719i | 0.339652 | + | 0.246772i | ||||
\(81\) | −21.3918 | + | 15.5420i | −2.37686 | + | 1.72689i | ||||
\(82\) | 0.774613 | − | 2.38401i | 0.0855416 | − | 0.263270i | ||||
\(83\) | −4.93720 | + | 15.1951i | −0.541928 | + | 1.66788i | 0.186256 | + | 0.982501i | \(0.440365\pi\) |
−0.728184 | + | 0.685381i | \(0.759635\pi\) | |||||||
\(84\) | 0.419279 | − | 0.304624i | 0.0457471 | − | 0.0332372i | ||||
\(85\) | 5.02356 | + | 3.64983i | 0.544882 | + | 0.395880i | ||||
\(86\) | −2.74124 | − | 8.43668i | −0.295596 | − | 0.909751i | ||||
\(87\) | 25.5566 | 2.73995 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.70789 | −0.287036 | −0.143518 | − | 0.989648i | \(-0.545842\pi\) | ||||
−0.143518 | + | 0.989648i | \(0.545842\pi\) | |||||||
\(90\) | −3.24047 | − | 9.97315i | −0.341576 | − | 1.05126i | ||||
\(91\) | −2.14612 | − | 1.55925i | −0.224975 | − | 0.163454i | ||||
\(92\) | −0.340801 | + | 0.247606i | −0.0355309 | + | 0.0258147i | ||||
\(93\) | −3.43496 | + | 10.5717i | −0.356188 | + | 1.09623i | ||||
\(94\) | −2.00986 | + | 6.18570i | −0.207301 | + | 0.638006i | ||||
\(95\) | 0.657590 | − | 0.477767i | 0.0674673 | − | 0.0490178i | ||||
\(96\) | 1.72565 | + | 1.25376i | 0.176123 | + | 0.127961i | ||||
\(97\) | 4.37659 | + | 13.4698i | 0.444376 | + | 1.36765i | 0.883167 | + | 0.469059i | \(0.155407\pi\) |
−0.438791 | + | 0.898589i | \(0.644593\pi\) | |||||||
\(98\) | 7.02229 | 0.709358 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.115749 | −0.0115749 | ||||||||
\(101\) | −3.52453 | − | 10.8474i | −0.350704 | − | 1.07936i | −0.958459 | − | 0.285231i | \(-0.907930\pi\) |
0.607755 | − | 0.794124i | \(-0.292070\pi\) | |||||||
\(102\) | −22.4925 | − | 16.3418i | −2.22709 | − | 1.61808i | ||||
\(103\) | −11.2218 | + | 8.15308i | −1.10571 | + | 0.803347i | −0.981983 | − | 0.188969i | \(-0.939485\pi\) |
−0.123729 | + | 0.992316i | \(0.539485\pi\) | |||||||
\(104\) | 1.73438 | − | 5.33786i | 0.170070 | − | 0.523420i | ||||
\(105\) | 1.38360 | − | 4.25827i | 0.135025 | − | 0.415565i | ||||
\(106\) | −9.32223 | + | 6.77299i | −0.905455 | + | 0.657851i | ||||
\(107\) | −0.862247 | − | 0.626459i | −0.0833566 | − | 0.0605621i | 0.545326 | − | 0.838224i | \(-0.316406\pi\) |
−0.628683 | + | 0.777662i | \(0.716406\pi\) | |||||||
\(108\) | −0.541273 | − | 1.66587i | −0.0520840 | − | 0.160298i | ||||
\(109\) | −11.3115 | −1.08345 | −0.541724 | − | 0.840556i | \(-0.682228\pi\) | ||||
−0.541724 | + | 0.840556i | \(0.682228\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −14.7551 | −1.40049 | ||||||||
\(112\) | −1.59285 | − | 4.90227i | −0.150510 | − | 0.463221i | ||||
\(113\) | 3.04878 | + | 2.21507i | 0.286805 | + | 0.208376i | 0.721880 | − | 0.692018i | \(-0.243278\pi\) |
−0.435075 | + | 0.900394i | \(0.643278\pi\) | |||||||
\(114\) | −2.94430 | + | 2.13916i | −0.275759 | + | 0.200351i | ||||
\(115\) | −1.12462 | + | 3.46123i | −0.104872 | + | 0.322761i | ||||
\(116\) | −0.280250 | + | 0.862522i | −0.0260206 | + | 0.0800832i | ||||
\(117\) | −11.9438 | + | 8.67766i | −1.10420 | + | 0.802250i | ||||
\(118\) | 1.23906 | + | 0.900232i | 0.114065 | + | 0.0828731i | ||||
\(119\) | −2.63394 | − | 8.10643i | −0.241453 | − | 0.743115i | ||||
\(120\) | 9.47308 | 0.864770 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −3.49330 | −0.316269 | ||||||||
\(123\) | −1.84066 | − | 5.66496i | −0.165966 | − | 0.510792i | ||||
\(124\) | −0.319123 | − | 0.231856i | −0.0286581 | − | 0.0208213i | ||||
\(125\) | −0.809017 | + | 0.587785i | −0.0723607 | + | 0.0525731i | ||||
\(126\) | −4.44813 | + | 13.6899i | −0.396271 | + | 1.21960i | ||||
\(127\) | 0.519014 | − | 1.59736i | 0.0460550 | − | 0.141743i | −0.925385 | − | 0.379029i | \(-0.876258\pi\) |
0.971440 | + | 0.237286i | \(0.0762580\pi\) | |||||||
\(128\) | 8.27901 | − | 6.01505i | 0.731768 | − | 0.531661i | ||||
\(129\) | −17.0534 | − | 12.3900i | −1.50147 | − | 1.09088i | ||||
\(130\) | −0.819745 | − | 2.52292i | −0.0718964 | − | 0.221274i | ||||
\(131\) | −11.7943 | −1.03047 | −0.515235 | − | 0.857049i | \(-0.672295\pi\) | ||||
−0.515235 | + | 0.857049i | \(0.672295\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.11575 | −0.0967477 | ||||||||
\(134\) | −1.16149 | − | 3.57471i | −0.100338 | − | 0.308808i | ||||
\(135\) | −12.2426 | − | 8.89475i | −1.05367 | − | 0.765538i | ||||
\(136\) | 14.5897 | − | 10.6000i | 1.25105 | − | 0.908943i | ||||
\(137\) | −2.28915 | + | 7.04529i | −0.195576 | + | 0.601920i | 0.804394 | + | 0.594096i | \(0.202490\pi\) |
−0.999969 | + | 0.00782325i | \(0.997510\pi\) | |||||||
\(138\) | 5.03540 | − | 15.4974i | 0.428641 | − | 1.31922i | ||||
\(139\) | −2.14493 | + | 1.55838i | −0.181930 | + | 0.132180i | −0.675023 | − | 0.737797i | \(-0.735866\pi\) |
0.493093 | + | 0.869977i | \(0.335866\pi\) | |||||||
\(140\) | 0.128542 | + | 0.0933914i | 0.0108638 | + | 0.00789301i | ||||
\(141\) | 4.77588 | + | 14.6986i | 0.402201 | + | 1.23785i | ||||
\(142\) | 1.53157 | 0.128526 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −28.6866 | −2.39055 | ||||||||
\(145\) | 2.42118 | + | 7.45164i | 0.201068 | + | 0.618825i | ||||
\(146\) | 13.7915 | + | 10.0201i | 1.14139 | + | 0.829269i | ||||
\(147\) | 13.4997 | − | 9.80812i | 1.11344 | − | 0.808960i | ||||
\(148\) | 0.161803 | − | 0.497977i | 0.0133001 | − | 0.0409335i | ||||
\(149\) | −2.58133 | + | 7.94453i | −0.211471 | + | 0.650841i | 0.787914 | + | 0.615785i | \(0.211161\pi\) |
−0.999385 | + | 0.0350561i | \(0.988839\pi\) | |||||||
\(150\) | 3.62230 | − | 2.63176i | 0.295760 | − | 0.214882i | ||||
\(151\) | 6.00554 | + | 4.36328i | 0.488724 | + | 0.355079i | 0.804693 | − | 0.593691i | \(-0.202330\pi\) |
−0.315969 | + | 0.948769i | \(0.602330\pi\) | |||||||
\(152\) | −0.729480 | − | 2.24511i | −0.0591686 | − | 0.182102i | ||||
\(153\) | −47.4363 | −3.83500 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.40786 | −0.273726 | ||||||||
\(156\) | −0.225469 | − | 0.693921i | −0.0180519 | − | 0.0555581i | ||||
\(157\) | 6.94477 | + | 5.04567i | 0.554253 | + | 0.402689i | 0.829351 | − | 0.558728i | \(-0.188710\pi\) |
−0.275098 | + | 0.961416i | \(0.588710\pi\) | |||||||
\(158\) | −6.45046 | + | 4.68653i | −0.513171 | + | 0.372840i | ||||
\(159\) | −8.46121 | + | 26.0409i | −0.671018 | + | 2.06518i | ||||
\(160\) | −0.202078 | + | 0.621933i | −0.0159757 | + | 0.0491681i | ||||
\(161\) | 4.04158 | − | 2.93638i | 0.318521 | − | 0.231419i | ||||
\(162\) | 29.3640 | + | 21.3342i | 2.30706 | + | 1.67617i | ||||
\(163\) | 5.06094 | + | 15.5760i | 0.396404 | + | 1.22000i | 0.927863 | + | 0.372921i | \(0.121644\pi\) |
−0.531460 | + | 0.847084i | \(0.678356\pi\) | |||||||
\(164\) | 0.211374 | 0.0165055 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 21.9315 | 1.70221 | ||||||||
\(167\) | −6.62488 | − | 20.3893i | −0.512648 | − | 1.57777i | −0.787521 | − | 0.616288i | \(-0.788636\pi\) |
0.274872 | − | 0.961481i | \(-0.411364\pi\) | |||||||
\(168\) | −10.5201 | − | 7.64327i | −0.811640 | − | 0.589691i | ||||
\(169\) | 7.49579 | − | 5.44601i | 0.576599 | − | 0.418924i | ||||
\(170\) | 2.63394 | − | 8.10643i | 0.202014 | − | 0.621735i | ||||
\(171\) | −1.91883 | + | 5.90555i | −0.146737 | + | 0.451609i | ||||
\(172\) | 0.605163 | − | 0.439677i | 0.0461433 | − | 0.0335250i | ||||
\(173\) | 11.1140 | + | 8.07481i | 0.844984 | + | 0.613917i | 0.923758 | − | 0.382976i | \(-0.125101\pi\) |
−0.0787746 | + | 0.996892i | \(0.525101\pi\) | |||||||
\(174\) | −10.8406 | − | 33.3640i | −0.821826 | − | 2.52932i | ||||
\(175\) | 1.37268 | 0.103765 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 3.63935 | 0.273551 | ||||||||
\(178\) | 1.14864 | + | 3.53515i | 0.0860941 | + | 0.264970i | ||||
\(179\) | 3.04878 | + | 2.21507i | 0.227877 | + | 0.165562i | 0.695865 | − | 0.718172i | \(-0.255021\pi\) |
−0.467988 | + | 0.883735i | \(0.655021\pi\) | |||||||
\(180\) | 0.715374 | − | 0.519749i | 0.0533208 | − | 0.0387398i | ||||
\(181\) | −0.00414019 | + | 0.0127422i | −0.000307738 | + | 0.000947119i | −0.951210 | − | 0.308543i | \(-0.900158\pi\) |
0.950903 | + | 0.309491i | \(0.100158\pi\) | |||||||
\(182\) | −1.12525 | + | 3.46316i | −0.0834089 | + | 0.256706i | ||||
\(183\) | −6.71556 | + | 4.87914i | −0.496428 | + | 0.360676i | ||||
\(184\) | 8.55097 | + | 6.21264i | 0.630386 | + | 0.458002i | ||||
\(185\) | −1.39787 | − | 4.30220i | −0.102773 | − | 0.316304i | ||||
\(186\) | 15.2584 | 1.11880 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −0.548444 | −0.0399994 | ||||||||
\(189\) | 6.41899 | + | 19.7556i | 0.466913 | + | 1.43701i | ||||
\(190\) | −0.902660 | − | 0.655821i | −0.0654859 | − | 0.0475783i | ||||
\(191\) | 13.4507 | − | 9.77249i | 0.973257 | − | 0.707113i | 0.0170656 | − | 0.999854i | \(-0.494568\pi\) |
0.956192 | + | 0.292742i | \(0.0945676\pi\) | |||||||
\(192\) | 8.47472 | − | 26.0825i | 0.611610 | − | 1.88234i | ||||
\(193\) | 8.27587 | − | 25.4705i | 0.595710 | − | 1.83341i | 0.0445504 | − | 0.999007i | \(-0.485814\pi\) |
0.551160 | − | 0.834400i | \(-0.314186\pi\) | |||||||
\(194\) | 15.7283 | − | 11.4273i | 1.12922 | − | 0.820429i | ||||
\(195\) | −5.09968 | − | 3.70513i | −0.365195 | − | 0.265330i | ||||
\(196\) | 0.182983 | + | 0.563163i | 0.0130702 | + | 0.0402259i | ||||
\(197\) | 2.55719 | 0.182192 | 0.0910962 | − | 0.995842i | \(-0.470963\pi\) | ||||
0.0910962 | + | 0.995842i | \(0.470963\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −21.8629 | −1.54982 | −0.774911 | − | 0.632071i | \(-0.782205\pi\) | ||||
−0.774911 | + | 0.632071i | \(0.782205\pi\) | |||||||
\(200\) | 0.897462 | + | 2.76210i | 0.0634601 | + | 0.195310i | ||||
\(201\) | −7.22570 | − | 5.24978i | −0.509662 | − | 0.370291i | ||||
\(202\) | −12.6662 | + | 9.20252i | −0.891189 | + | 0.647487i | ||||
\(203\) | 3.32351 | − | 10.2287i | 0.233265 | − | 0.717915i | ||||
\(204\) | 0.724457 | − | 2.22965i | 0.0507221 | − | 0.156107i | ||||
\(205\) | 1.47737 | − | 1.07338i | 0.103184 | − | 0.0749678i | ||||
\(206\) | 15.4039 | + | 11.1916i | 1.07324 | + | 0.779754i | ||||
\(207\) | −8.59139 | − | 26.4416i | −0.597143 | − | 1.83782i | ||||
\(208\) | −7.25687 | −0.503173 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −6.14605 | −0.424118 | ||||||||
\(211\) | 3.96493 | + | 12.2028i | 0.272957 | + | 0.840075i | 0.989753 | + | 0.142792i | \(0.0456080\pi\) |
−0.716796 | + | 0.697283i | \(0.754392\pi\) | |||||||
\(212\) | −0.786084 | − | 0.571124i | −0.0539885 | − | 0.0392249i | ||||
\(213\) | 2.94430 | − | 2.13916i | 0.201740 | − | 0.146573i | ||||
\(214\) | −0.452091 | + | 1.39139i | −0.0309043 | + | 0.0951137i | ||||
\(215\) | 1.99700 | − | 6.14614i | 0.136194 | − | 0.419163i | ||||
\(216\) | −35.5555 | + | 25.8326i | −2.41924 | + | 1.75768i | ||||
\(217\) | 3.78450 | + | 2.74960i | 0.256908 | + | 0.186655i | ||||
\(218\) | 4.79814 | + | 14.7672i | 0.324971 | + | 1.00016i | ||||
\(219\) | 40.5081 | 2.73728 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −12.0000 | −0.807207 | ||||||||
\(222\) | 6.25884 | + | 19.2627i | 0.420066 | + | 1.29283i | ||||
\(223\) | 5.95773 | + | 4.32854i | 0.398959 | + | 0.289861i | 0.769117 | − | 0.639108i | \(-0.220696\pi\) |
−0.370158 | + | 0.928969i | \(0.620696\pi\) | |||||||
\(224\) | 0.726213 | − | 0.527625i | 0.0485221 | − | 0.0352534i | ||||
\(225\) | 2.36069 | − | 7.26546i | 0.157379 | − | 0.484364i | ||||
\(226\) | 1.59853 | − | 4.91976i | 0.106333 | − | 0.327258i | ||||
\(227\) | −1.11052 | + | 0.806841i | −0.0737079 | + | 0.0535519i | −0.624029 | − | 0.781401i | \(-0.714505\pi\) |
0.550321 | + | 0.834953i | \(0.314505\pi\) | |||||||
\(228\) | −0.248274 | − | 0.180382i | −0.0164424 | − | 0.0119461i | ||||
\(229\) | 9.11502 | + | 28.0531i | 0.602337 | + | 1.85380i | 0.514152 | + | 0.857699i | \(0.328107\pi\) |
0.0881851 | + | 0.996104i | \(0.471893\pi\) | |||||||
\(230\) | 4.99567 | 0.329405 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 22.7551 | 1.49395 | ||||||||
\(233\) | 6.79788 | + | 20.9217i | 0.445344 | + | 1.37063i | 0.882106 | + | 0.471051i | \(0.156125\pi\) |
−0.436762 | + | 0.899577i | \(0.643875\pi\) | |||||||
\(234\) | 16.3950 | + | 11.9117i | 1.07177 | + | 0.778689i | ||||
\(235\) | −3.83328 | + | 2.78504i | −0.250056 | + | 0.181676i | ||||
\(236\) | −0.0399087 | + | 0.122826i | −0.00259784 | + | 0.00799532i | ||||
\(237\) | −5.85469 | + | 18.0189i | −0.380303 | + | 1.17045i | ||||
\(238\) | −9.46565 | + | 6.87719i | −0.613567 | + | 0.445782i | ||||
\(239\) | −15.1468 | − | 11.0048i | −0.979765 | − | 0.711841i | −0.0221087 | − | 0.999756i | \(-0.507038\pi\) |
−0.957656 | + | 0.287915i | \(0.907038\pi\) | |||||||
\(240\) | −3.78497 | − | 11.6489i | −0.244318 | − | 0.751935i | ||||
\(241\) | −26.2630 | −1.69175 | −0.845875 | − | 0.533382i | \(-0.820921\pi\) | ||||
−0.845875 | + | 0.533382i | \(0.820921\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 40.8495 | 2.62050 | ||||||||
\(244\) | −0.0910265 | − | 0.280151i | −0.00582737 | − | 0.0179348i | ||||
\(245\) | 4.13873 | + | 3.00696i | 0.264414 | + | 0.192108i | ||||
\(246\) | −6.61481 | + | 4.80594i | −0.421745 | + | 0.306416i | ||||
\(247\) | −0.485408 | + | 1.49393i | −0.0308858 | + | 0.0950566i | ||||
\(248\) | −3.05842 | + | 9.41285i | −0.194210 | + | 0.597716i | ||||
\(249\) | 42.1612 | − | 30.6319i | 2.67186 | − | 1.94122i | ||||
\(250\) | 1.11052 | + | 0.806841i | 0.0702355 | + | 0.0510291i | ||||
\(251\) | −6.99180 | − | 21.5186i | −0.441319 | − | 1.35824i | −0.886471 | − | 0.462785i | \(-0.846850\pi\) |
0.445152 | − | 0.895455i | \(-0.353150\pi\) | |||||||
\(252\) | −1.21379 | −0.0764618 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −2.30550 | −0.144660 | ||||||||
\(255\) | −6.25884 | − | 19.2627i | −0.391944 | − | 1.20628i | ||||
\(256\) | 2.23976 | + | 1.62728i | 0.139985 | + | 0.101705i | ||||
\(257\) | −13.9233 | + | 10.1159i | −0.868513 | + | 0.631011i | −0.930187 | − | 0.367085i | \(-0.880356\pi\) |
0.0616747 | + | 0.998096i | \(0.480356\pi\) | |||||||
\(258\) | −8.94140 | + | 27.5188i | −0.556667 | + | 1.71324i | ||||
\(259\) | −1.91883 | + | 5.90555i | −0.119230 | + | 0.366953i | ||||
\(260\) | 0.180969 | − | 0.131482i | 0.0112232 | − | 0.00815414i | ||||
\(261\) | −48.4239 | − | 35.1820i | −2.99736 | − | 2.17771i | ||||
\(262\) | 5.00291 | + | 15.3974i | 0.309081 | + | 0.951253i | ||||
\(263\) | 5.71441 | 0.352366 | 0.176183 | − | 0.984357i | \(-0.443625\pi\) | ||||
0.176183 | + | 0.984357i | \(0.443625\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.39446 | −0.515667 | ||||||||
\(266\) | 0.473280 | + | 1.45661i | 0.0290187 | + | 0.0893103i | ||||
\(267\) | 7.14574 | + | 5.19168i | 0.437312 | + | 0.317726i | ||||
\(268\) | 0.256414 | − | 0.186295i | 0.0156630 | − | 0.0113798i | ||||
\(269\) | −0.887142 | + | 2.73034i | −0.0540900 | + | 0.166472i | −0.974452 | − | 0.224595i | \(-0.927894\pi\) |
0.920362 | + | 0.391067i | \(0.127894\pi\) | |||||||
\(270\) | −6.41899 | + | 19.7556i | −0.390647 | + | 1.20229i | ||||
\(271\) | 6.18651 | − | 4.49476i | 0.375804 | − | 0.273037i | −0.383810 | − | 0.923412i | \(-0.625388\pi\) |
0.759613 | + | 0.650375i | \(0.225388\pi\) | |||||||
\(272\) | −18.8640 | − | 13.7055i | −1.14380 | − | 0.831017i | ||||
\(273\) | 2.67385 | + | 8.22926i | 0.161829 | + | 0.498057i | ||||
\(274\) | 10.1686 | 0.614309 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 1.37404 | 0.0827077 | ||||||||
\(277\) | −9.08418 | − | 27.9582i | −0.545816 | − | 1.67985i | −0.719043 | − | 0.694966i | \(-0.755420\pi\) |
0.173227 | − | 0.984882i | \(-0.444580\pi\) | |||||||
\(278\) | 2.94430 | + | 2.13916i | 0.176587 | + | 0.128298i | ||||
\(279\) | 21.0618 | − | 15.3023i | 1.26094 | − | 0.916124i | ||||
\(280\) | 1.23193 | − | 3.79148i | 0.0736218 | − | 0.226585i | ||||
\(281\) | 7.48565 | − | 23.0385i | 0.446557 | − | 1.37436i | −0.434211 | − | 0.900811i | \(-0.642973\pi\) |
0.880768 | − | 0.473549i | \(-0.157027\pi\) | |||||||
\(282\) | 17.1632 | − | 12.4698i | 1.02205 | − | 0.742565i | ||||
\(283\) | −4.14139 | − | 3.00889i | −0.246180 | − | 0.178860i | 0.457852 | − | 0.889028i | \(-0.348619\pi\) |
−0.704032 | + | 0.710168i | \(0.748619\pi\) | |||||||
\(284\) | 0.0399087 | + | 0.122826i | 0.00236815 | + | 0.00728841i | ||||
\(285\) | −2.65128 | −0.157048 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −2.50670 | −0.147966 | ||||||||
\(288\) | −1.54375 | − | 4.75116i | −0.0909661 | − | 0.279965i | ||||
\(289\) | −17.4403 | − | 12.6711i | −1.02590 | − | 0.745361i | ||||
\(290\) | 8.70106 | − | 6.32169i | 0.510944 | − | 0.371222i | ||||
\(291\) | 14.2756 | − | 43.9357i | 0.836850 | − | 2.57556i | ||||
\(292\) | −0.444207 | + | 1.36713i | −0.0259952 | + | 0.0800051i | ||||
\(293\) | −8.89298 | + | 6.46113i | −0.519534 | + | 0.377463i | −0.816428 | − | 0.577447i | \(-0.804049\pi\) |
0.296895 | + | 0.954910i | \(0.404049\pi\) | |||||||
\(294\) | −18.5308 | − | 13.4634i | −1.08074 | − | 0.785202i | ||||
\(295\) | 0.344786 | + | 1.06114i | 0.0200742 | + | 0.0617820i | ||||
\(296\) | −13.1377 | −0.763611 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 11.4665 | 0.664237 | ||||||||
\(299\) | −2.17337 | − | 6.68895i | −0.125689 | − | 0.386832i | ||||
\(300\) | 0.305446 | + | 0.221919i | 0.0176349 | + | 0.0128125i | ||||
\(301\) | −7.17667 | + | 5.21416i | −0.413656 | + | 0.300539i | ||||
\(302\) | 3.14881 | − | 9.69103i | 0.181193 | − | 0.557656i | ||||
\(303\) | −11.4963 | + | 35.3820i | −0.660446 | + | 2.03264i | ||||
\(304\) | −2.46932 | + | 1.79406i | −0.141625 | + | 0.102897i | ||||
\(305\) | −2.05885 | − | 1.49584i | −0.117889 | − | 0.0856516i | ||||
\(306\) | 20.1216 | + | 61.9279i | 1.15027 | + | 3.54018i | ||||
\(307\) | −14.3515 | −0.819081 | −0.409540 | − | 0.912292i | \(-0.634311\pi\) | ||||
−0.409540 | + | 0.912292i | \(0.634311\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 45.2440 | 2.57384 | ||||||||
\(310\) | 1.44555 | + | 4.44894i | 0.0821017 | + | 0.252683i | ||||
\(311\) | −22.1517 | − | 16.0942i | −1.25611 | − | 0.912617i | −0.257550 | − | 0.966265i | \(-0.582915\pi\) |
−0.998560 | + | 0.0536476i | \(0.982915\pi\) | |||||||
\(312\) | −14.8107 | + | 10.7606i | −0.838492 | + | 0.609200i | ||||
\(313\) | 1.19616 | − | 3.68140i | 0.0676109 | − | 0.208085i | −0.911543 | − | 0.411205i | \(-0.865108\pi\) |
0.979154 | + | 0.203120i | \(0.0651081\pi\) | |||||||
\(314\) | 3.64126 | − | 11.2067i | 0.205488 | − | 0.632428i | ||||
\(315\) | −8.48367 | + | 6.16374i | −0.478000 | + | 0.347288i | ||||
\(316\) | −0.543926 | − | 0.395185i | −0.0305982 | − | 0.0222309i | ||||
\(317\) | −4.79292 | − | 14.7511i | −0.269197 | − | 0.828503i | −0.990697 | − | 0.136089i | \(-0.956547\pi\) |
0.721500 | − | 0.692415i | \(-0.243453\pi\) | |||||||
\(318\) | 37.5854 | 2.10769 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 8.40786 | 0.470013 | ||||||||
\(321\) | 1.07427 | + | 3.30627i | 0.0599600 | + | 0.184538i | ||||
\(322\) | −5.54780 | − | 4.03071i | −0.309167 | − | 0.224623i | ||||
\(323\) | −4.08328 | + | 2.96668i | −0.227200 | + | 0.165070i | ||||
\(324\) | −0.945780 | + | 2.91081i | −0.0525433 | + | 0.161712i | ||||
\(325\) | 0.597186 | − | 1.83795i | 0.0331259 | − | 0.101951i | ||||
\(326\) | 18.1876 | − | 13.2141i | 1.00732 | − | 0.731860i | ||||
\(327\) | 29.8495 | + | 21.6869i | 1.65068 | + | 1.19929i | ||||
\(328\) | −1.63889 | − | 5.04397i | −0.0904923 | − | 0.278507i | ||||
\(329\) | 6.50403 | 0.358579 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 26.8575 | 1.47622 | 0.738110 | − | 0.674681i | \(-0.235719\pi\) | ||||
0.738110 | + | 0.674681i | \(0.235719\pi\) | |||||||
\(332\) | 0.571478 | + | 1.75883i | 0.0313639 | + | 0.0965282i | ||||
\(333\) | 27.9575 | + | 20.3123i | 1.53206 | + | 1.11311i | ||||
\(334\) | −23.8080 | + | 17.2975i | −1.30271 | + | 0.946477i | ||||
\(335\) | 0.846150 | − | 2.60418i | 0.0462301 | − | 0.142282i | ||||
\(336\) | −5.19555 | + | 15.9902i | −0.283440 | + | 0.872339i | ||||
\(337\) | 1.56345 | − | 1.13592i | 0.0851667 | − | 0.0618773i | −0.544387 | − | 0.838834i | \(-0.683238\pi\) |
0.629554 | + | 0.776957i | \(0.283238\pi\) | |||||||
\(338\) | −10.2893 | − | 7.47563i | −0.559666 | − | 0.406621i | ||||
\(339\) | −3.79847 | − | 11.6905i | −0.206305 | − | 0.634940i | ||||
\(340\) | 0.718741 | 0.0389792 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 8.52360 | 0.460904 | ||||||||
\(343\) | −5.13928 | − | 15.8171i | −0.277495 | − | 0.854041i | ||||
\(344\) | −15.1840 | − | 11.0318i | −0.818668 | − | 0.594797i | ||||
\(345\) | 9.60372 | − | 6.97751i | 0.517047 | − | 0.375657i | ||||
\(346\) | 5.82727 | − | 17.9345i | 0.313276 | − | 0.964165i | ||||
\(347\) | −1.17435 | + | 3.61427i | −0.0630422 | + | 0.194024i | −0.977617 | − | 0.210393i | \(-0.932526\pi\) |
0.914575 | + | 0.404417i | \(0.132526\pi\) | |||||||
\(348\) | 2.39320 | − | 1.73876i | 0.128289 | − | 0.0932075i | ||||
\(349\) | 13.9077 | + | 10.1046i | 0.744464 | + | 0.540885i | 0.894106 | − | 0.447856i | \(-0.147812\pi\) |
−0.149642 | + | 0.988740i | \(0.547812\pi\) | |||||||
\(350\) | −0.582265 | − | 1.79203i | −0.0311234 | − | 0.0957880i | ||||
\(351\) | 29.2444 | 1.56095 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −1.99207 | −0.106027 | −0.0530135 | − | 0.998594i | \(-0.516883\pi\) | ||||
−0.0530135 | + | 0.998594i | \(0.516883\pi\) | |||||||
\(354\) | −1.54375 | − | 4.75116i | −0.0820492 | − | 0.252521i | ||||
\(355\) | 0.902660 | + | 0.655821i | 0.0479082 | + | 0.0348074i | ||||
\(356\) | −0.253576 | + | 0.184234i | −0.0134395 | + | 0.00976437i | ||||
\(357\) | −8.59139 | + | 26.4416i | −0.454704 | + | 1.39944i | ||||
\(358\) | 1.59853 | − | 4.91976i | 0.0844849 | − | 0.260018i | ||||
\(359\) | −12.6014 | + | 9.15543i | −0.665075 | + | 0.483205i | −0.868373 | − | 0.495912i | \(-0.834834\pi\) |
0.203298 | + | 0.979117i | \(0.434834\pi\) | |||||||
\(360\) | −17.9493 | − | 13.0409i | −0.946012 | − | 0.687318i | ||||
\(361\) | −5.66716 | − | 17.4417i | −0.298272 | − | 0.917986i | ||||
\(362\) | 0.0183911 | 0.000966613 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.307054 | −0.0160940 | ||||||||
\(365\) | 3.83766 | + | 11.8111i | 0.200872 | + | 0.618221i | ||||
\(366\) | 9.21831 | + | 6.69749i | 0.481849 | + | 0.350084i | ||||
\(367\) | −15.1869 | + | 11.0339i | −0.792748 | + | 0.575965i | −0.908778 | − | 0.417280i | \(-0.862983\pi\) |
0.116029 | + | 0.993246i | \(0.462983\pi\) | |||||||
\(368\) | 4.22307 | − | 12.9973i | 0.220143 | − | 0.677530i | ||||
\(369\) | −4.31094 | + | 13.2677i | −0.224419 | + | 0.690689i | ||||
\(370\) | −5.02356 | + | 3.64983i | −0.261162 | + | 0.189746i | ||||
\(371\) | 9.32223 | + | 6.77299i | 0.483986 | + | 0.351636i | ||||
\(372\) | 0.397594 | + | 1.22367i | 0.0206143 | + | 0.0634443i | ||||
\(373\) | 2.62664 | 0.136003 | 0.0680013 | − | 0.997685i | \(-0.478338\pi\) | ||||
0.0680013 | + | 0.997685i | \(0.478338\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 3.26180 | 0.168439 | ||||||||
\(376\) | 4.25235 | + | 13.0874i | 0.219298 | + | 0.674931i | ||||
\(377\) | −12.2498 | − | 8.90003i | −0.630899 | − | 0.458375i | ||||
\(378\) | 23.0681 | − | 16.7599i | 1.18649 | − | 0.862038i | ||||
\(379\) | 0.822197 | − | 2.53046i | 0.0422334 | − | 0.129981i | −0.927717 | − | 0.373285i | \(-0.878231\pi\) |
0.969950 | + | 0.243304i | \(0.0782313\pi\) | |||||||
\(380\) | 0.0290736 | − | 0.0894793i | 0.00149144 | − | 0.00459019i | ||||
\(381\) | −4.43212 | + | 3.22013i | −0.227065 | + | 0.164972i | ||||
\(382\) | −18.4635 | − | 13.4145i | −0.944674 | − | 0.686346i | ||||
\(383\) | 6.77719 | + | 20.8581i | 0.346298 | + | 1.06580i | 0.960885 | + | 0.276948i | \(0.0893228\pi\) |
−0.614587 | + | 0.788849i | \(0.710677\pi\) | |||||||
\(384\) | −33.3794 | −1.70338 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −36.7621 | −1.87114 | ||||||||
\(387\) | 15.2558 | + | 46.9525i | 0.775496 | + | 2.38673i | ||||
\(388\) | 1.32627 | + | 0.963588i | 0.0673309 | + | 0.0489188i | ||||
\(389\) | 2.76785 | − | 2.01096i | 0.140336 | − | 0.101960i | −0.515402 | − | 0.856948i | \(-0.672358\pi\) |
0.655738 | + | 0.754988i | \(0.272358\pi\) | |||||||
\(390\) | −2.67385 | + | 8.22926i | −0.135396 | + | 0.416705i | ||||
\(391\) | 6.98330 | − | 21.4924i | 0.353161 | − | 1.08692i | ||||
\(392\) | 12.0199 | − | 8.73296i | 0.607096 | − | 0.441081i | ||||
\(393\) | 31.1233 | + | 22.6124i | 1.56996 | + | 1.14065i | ||||
\(394\) | −1.08471 | − | 3.33840i | −0.0546471 | − | 0.168186i | ||||
\(395\) | −5.80849 | −0.292257 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.51021 | 0.276549 | 0.138275 | − | 0.990394i | \(-0.455844\pi\) | ||||
0.138275 | + | 0.990394i | \(0.455844\pi\) | |||||||
\(398\) | 9.27385 | + | 28.5420i | 0.464856 | + | 1.43068i | ||||
\(399\) | 2.94430 | + | 2.13916i | 0.147399 | + | 0.107092i | ||||
\(400\) | 3.03794 | − | 2.20719i | 0.151897 | − | 0.110360i | ||||
\(401\) | −5.53944 | + | 17.0486i | −0.276626 | + | 0.851368i | 0.712158 | + | 0.702019i | \(0.247718\pi\) |
−0.988785 | + | 0.149349i | \(0.952282\pi\) | |||||||
\(402\) | −3.78856 | + | 11.6600i | −0.188956 | + | 0.581547i | ||||
\(403\) | 5.32802 | − | 3.87103i | 0.265408 | − | 0.192830i | ||||
\(404\) | −1.06806 | − | 0.775990i | −0.0531379 | − | 0.0386069i | ||||
\(405\) | 8.17092 | + | 25.1475i | 0.406016 | + | 1.24959i | ||||
\(406\) | −14.7633 | −0.732691 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −58.8227 | −2.91216 | ||||||||
\(409\) | 9.06228 | + | 27.8908i | 0.448101 | + | 1.37911i | 0.879047 | + | 0.476735i | \(0.158180\pi\) |
−0.430946 | + | 0.902378i | \(0.641820\pi\) | |||||||
\(410\) | −2.02796 | − | 1.47340i | −0.100154 | − | 0.0727661i | ||||
\(411\) | 19.5482 | − | 14.2026i | 0.964244 | − | 0.700564i | ||||
\(412\) | −0.496140 | + | 1.52696i | −0.0244431 | + | 0.0752280i | ||||
\(413\) | 0.473280 | − | 1.45661i | 0.0232886 | − | 0.0716749i | ||||
\(414\) | −30.8751 | + | 22.4320i | −1.51743 | + | 1.10248i | ||||
\(415\) | 12.9258 | + | 9.39111i | 0.634500 | + | 0.460991i | ||||
\(416\) | −0.390523 | − | 1.20191i | −0.0191470 | − | 0.0589283i | ||||
\(417\) | 8.64794 | 0.423491 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 2.65275 | 0.129595 | 0.0647977 | − | 0.997898i | \(-0.479360\pi\) | ||||
0.0647977 | + | 0.997898i | \(0.479360\pi\) | |||||||
\(420\) | −0.160150 | − | 0.492892i | −0.00781454 | − | 0.0240507i | ||||
\(421\) | 9.03102 | + | 6.56142i | 0.440145 | + | 0.319784i | 0.785693 | − | 0.618617i | \(-0.212307\pi\) |
−0.345547 | + | 0.938401i | \(0.612307\pi\) | |||||||
\(422\) | 14.2489 | − | 10.3524i | 0.693624 | − | 0.503947i | ||||
\(423\) | 11.1854 | − | 34.4252i | 0.543854 | − | 1.67381i | ||||
\(424\) | −7.53370 | + | 23.1864i | −0.365869 | + | 1.12603i | ||||
\(425\) | 5.02356 | − | 3.64983i | 0.243678 | − | 0.177043i | ||||
\(426\) | −4.04158 | − | 2.93638i | −0.195815 | − | 0.142268i | ||||
\(427\) | 1.07949 | + | 3.32233i | 0.0522402 | + | 0.160779i | ||||
\(428\) | −0.123365 | −0.00596309 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.87085 | −0.427791 | ||||||||
\(431\) | 1.40886 | + | 4.33604i | 0.0678626 | + | 0.208860i | 0.979237 | − | 0.202719i | \(-0.0649777\pi\) |
−0.911374 | + | 0.411578i | \(0.864978\pi\) | |||||||
\(432\) | 45.9721 | + | 33.4007i | 2.21184 | + | 1.60699i | ||||
\(433\) | −16.3122 | + | 11.8515i | −0.783913 | + | 0.569546i | −0.906151 | − | 0.422955i | \(-0.860993\pi\) |
0.122238 | + | 0.992501i | \(0.460993\pi\) | |||||||
\(434\) | 1.98428 | − | 6.10697i | 0.0952483 | − | 0.293144i | ||||
\(435\) | 7.89742 | − | 24.3058i | 0.378652 | − | 1.16537i | ||||
\(436\) | −1.05925 | + | 0.769589i | −0.0507288 | + | 0.0368566i | ||||
\(437\) | −2.39320 | − | 1.73876i | −0.114482 | − | 0.0831763i | ||||
\(438\) | −17.1828 | − | 52.8831i | −0.821025 | − | 2.52685i | ||||
\(439\) | −34.4868 | −1.64596 | −0.822982 | − | 0.568067i | \(-0.807691\pi\) | ||||
−0.822982 | + | 0.568067i | \(0.807691\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −39.0810 | −1.86100 | ||||||||
\(442\) | 5.09018 | + | 15.6660i | 0.242115 | + | 0.745154i | ||||
\(443\) | −25.4505 | − | 18.4909i | −1.20919 | − | 0.878528i | −0.214034 | − | 0.976826i | \(-0.568660\pi\) |
−0.995157 | + | 0.0982979i | \(0.968660\pi\) | |||||||
\(444\) | −1.38172 | + | 1.00388i | −0.0655733 | + | 0.0476418i | ||||
\(445\) | −0.836785 | + | 2.57536i | −0.0396674 | + | 0.122084i | ||||
\(446\) | 3.12374 | − | 9.61388i | 0.147913 | − | 0.455230i | ||||
\(447\) | 22.0433 | − | 16.0154i | 1.04261 | − | 0.757503i | ||||
\(448\) | −9.33710 | − | 6.78380i | −0.441137 | − | 0.320505i | ||||
\(449\) | −1.47600 | − | 4.54266i | −0.0696567 | − | 0.214381i | 0.910168 | − | 0.414239i | \(-0.135952\pi\) |
−0.979825 | + | 0.199857i | \(0.935952\pi\) | |||||||
\(450\) | −10.4864 | −0.494333 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0.436202 | 0.0205172 | ||||||||
\(453\) | −7.48229 | − | 23.0281i | −0.351549 | − | 1.08196i | ||||
\(454\) | 1.52439 | + | 1.10753i | 0.0715432 | + | 0.0519792i | ||||
\(455\) | −2.14612 | + | 1.55925i | −0.100612 | + | 0.0730987i | ||||
\(456\) | −2.37942 | + | 7.32310i | −0.111426 | + | 0.342935i | ||||
\(457\) | 0.473280 | − | 1.45661i | 0.0221391 | − | 0.0681372i | −0.939377 | − | 0.342887i | \(-0.888595\pi\) |
0.961516 | + | 0.274750i | \(0.0885951\pi\) | |||||||
\(458\) | 32.7568 | − | 23.7992i | 1.53063 | − | 1.11207i | ||||
\(459\) | 76.0198 | + | 55.2316i | 3.54830 | + | 2.57799i | ||||
\(460\) | 0.130174 | + | 0.400635i | 0.00606941 | + | 0.0186797i | ||||
\(461\) | 18.5220 | 0.862655 | 0.431327 | − | 0.902195i | \(-0.358045\pi\) | ||||
0.431327 | + | 0.902195i | \(0.358045\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.68306 | 0.450010 | 0.225005 | − | 0.974358i | \(-0.427760\pi\) | ||||
0.225005 | + | 0.974358i | \(0.427760\pi\) | |||||||
\(464\) | −9.09179 | − | 27.9817i | −0.422076 | − | 1.29902i | ||||
\(465\) | 8.99283 | + | 6.53367i | 0.417033 | + | 0.302992i | ||||
\(466\) | 24.4297 | − | 17.7492i | 1.13168 | − | 0.822217i | ||||
\(467\) | −9.79522 | + | 30.1466i | −0.453269 | + | 1.39502i | 0.419887 | + | 0.907576i | \(0.362070\pi\) |
−0.873156 | + | 0.487441i | \(0.837930\pi\) | |||||||
\(468\) | −0.528062 | + | 1.62521i | −0.0244097 | + | 0.0751253i | ||||
\(469\) | −3.04083 | + | 2.20929i | −0.140412 | + | 0.102016i | ||||
\(470\) | 5.26187 | + | 3.82297i | 0.242712 | + | 0.176341i | ||||
\(471\) | −8.65248 | − | 26.6296i | −0.398685 | − | 1.22703i | ||||
\(472\) | 3.24041 | 0.149152 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 26.0070 | 1.19454 | ||||||||
\(475\) | −0.251177 | − | 0.773043i | −0.0115248 | − | 0.0354696i | ||||
\(476\) | −0.798178 | − | 0.579910i | −0.0365844 | − | 0.0265801i | ||||
\(477\) | 51.8808 | − | 37.6936i | 2.37546 | − | 1.72587i | ||||
\(478\) | −7.94172 | + | 24.4421i | −0.363246 | + | 1.11796i | ||||
\(479\) | 9.52839 | − | 29.3254i | 0.435363 | − | 1.33991i | −0.457351 | − | 0.889286i | \(-0.651202\pi\) |
0.892714 | − | 0.450624i | \(-0.148798\pi\) | |||||||
\(480\) | 1.72565 | − | 1.25376i | 0.0787647 | − | 0.0572259i | ||||
\(481\) | 7.07244 | + | 5.13843i | 0.322476 | + | 0.234292i | ||||
\(482\) | 11.1403 | + | 34.2863i | 0.507426 | + | 1.56170i | ||||
\(483\) | −16.2949 | −0.741443 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 14.1630 | 0.643107 | ||||||||
\(486\) | −17.3276 | − | 53.3289i | −0.785996 | − | 2.41905i | ||||
\(487\) | −24.2641 | − | 17.6289i | −1.09951 | − | 0.798841i | −0.118531 | − | 0.992950i | \(-0.537818\pi\) |
−0.980980 | + | 0.194109i | \(0.937818\pi\) | |||||||
\(488\) | −5.97940 | + | 4.34429i | −0.270675 | + | 0.196657i | ||||
\(489\) | 16.5078 | − | 50.8058i | 0.746508 | − | 2.29752i | ||||
\(490\) | 2.17001 | − | 6.67859i | 0.0980309 | − | 0.301708i | ||||
\(491\) | −27.9203 | + | 20.2853i | −1.26003 | + | 0.915463i | −0.998759 | − | 0.0498038i | \(-0.984140\pi\) |
−0.261267 | + | 0.965266i | \(0.584140\pi\) | |||||||
\(492\) | −0.557785 | − | 0.405255i | −0.0251469 | − | 0.0182703i | ||||
\(493\) | −15.0342 | − | 46.2706i | −0.677108 | − | 2.08392i | ||||
\(494\) | 2.15622 | 0.0970131 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.7968 | 0.574595 | ||||||||
\(497\) | −0.473280 | − | 1.45661i | −0.0212295 | − | 0.0653377i | ||||
\(498\) | −57.8739 | − | 42.0479i | −2.59339 | − | 1.88421i | ||||
\(499\) | −14.4514 | + | 10.4996i | −0.646934 | + | 0.470025i | −0.862225 | − | 0.506525i | \(-0.830930\pi\) |
0.215292 | + | 0.976550i | \(0.430930\pi\) | |||||||
\(500\) | −0.0357685 | + | 0.110084i | −0.00159962 | + | 0.00492312i | ||||
\(501\) | −21.6090 | + | 66.5058i | −0.965420 | + | 2.97126i | ||||
\(502\) | −25.1266 | + | 18.2556i | −1.12146 | + | 0.814785i | ||||
\(503\) | −4.14139 | − | 3.00889i | −0.184655 | − | 0.134160i | 0.491617 | − | 0.870811i | \(-0.336406\pi\) |
−0.676273 | + | 0.736651i | \(0.736406\pi\) | |||||||
\(504\) | 9.41113 | + | 28.9645i | 0.419205 | + | 1.29018i | ||||
\(505\) | −11.4056 | −0.507543 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −30.2216 | −1.34219 | ||||||||
\(508\) | −0.0600755 | − | 0.184893i | −0.00266542 | − | 0.00820332i | ||||
\(509\) | 14.6495 | + | 10.6435i | 0.649329 | + | 0.471765i | 0.863043 | − | 0.505131i | \(-0.168556\pi\) |
−0.213714 | + | 0.976896i | \(0.568556\pi\) | |||||||
\(510\) | −22.4925 | + | 16.3418i | −0.995987 | + | 0.723627i | ||||
\(511\) | 5.26788 | − | 16.2129i | 0.233037 | − | 0.717215i | ||||
\(512\) | 7.49895 | − | 23.0794i | 0.331410 | − | 1.01997i | ||||
\(513\) | 9.95108 | − | 7.22988i | 0.439351 | − | 0.319207i | ||||
\(514\) | 19.1123 | + | 13.8859i | 0.843006 | + | 0.612479i | ||||
\(515\) | 4.28633 | + | 13.1920i | 0.188878 | + | 0.581307i | ||||
\(516\) | −2.43990 | −0.107411 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 8.52360 | 0.374506 | ||||||||
\(519\) | −13.8469 | − | 42.6165i | −0.607813 | − | 1.87066i | ||||
\(520\) | −4.54065 | − | 3.29898i | −0.199121 | − | 0.144670i | ||||
\(521\) | 27.9684 | − | 20.3202i | 1.22532 | − | 0.890245i | 0.228787 | − | 0.973477i | \(-0.426524\pi\) |
0.996530 | + | 0.0832319i | \(0.0265242\pi\) | |||||||
\(522\) | −25.3895 | + | 78.1407i | −1.11127 | + | 3.42013i | ||||
\(523\) | 10.1332 | − | 31.1867i | 0.443093 | − | 1.36370i | −0.441468 | − | 0.897277i | \(-0.645542\pi\) |
0.884561 | − | 0.466424i | \(-0.154458\pi\) | |||||||
\(524\) | −1.10445 | + | 0.802432i | −0.0482483 | + | 0.0350544i | ||||
\(525\) | −3.62230 | − | 2.63176i | −0.158090 | − | 0.114859i | ||||
\(526\) | −2.42395 | − | 7.46014i | −0.105689 | − | 0.325278i | ||||
\(527\) | 21.1609 | 0.921785 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.75510 | −0.424135 | ||||||||
\(530\) | 3.56077 | + | 10.9589i | 0.154670 | + | 0.476026i | ||||
\(531\) | −6.89574 | − | 5.01005i | −0.299250 | − | 0.217418i | ||||
\(532\) | −0.104482 | + | 0.0759109i | −0.00452989 | + | 0.00329115i | ||||
\(533\) | −1.09054 | + | 3.35634i | −0.0472366 | + | 0.145379i | ||||
\(534\) | 3.74663 | − | 11.5309i | 0.162133 | − | 0.498993i | ||||
\(535\) | −0.862247 | + | 0.626459i | −0.0372782 | + | 0.0270842i | ||||
\(536\) | −6.43363 | − | 4.67431i | −0.277890 | − | 0.201899i | ||||
\(537\) | −3.79847 | − | 11.6905i | −0.163916 | − | 0.504482i | ||||
\(538\) | 3.94076 | 0.169898 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.75160 | −0.0753767 | ||||||||
\(541\) | 1.35116 | + | 4.15843i | 0.0580908 | + | 0.178785i | 0.975891 | − | 0.218256i | \(-0.0700369\pi\) |
−0.917801 | + | 0.397041i | \(0.870037\pi\) | |||||||
\(542\) | −8.49210 | − | 6.16987i | −0.364767 | − | 0.265019i | ||||
\(543\) | 0.0353552 | − | 0.0256870i | 0.00151723 | − | 0.00110234i | ||||
\(544\) | 1.25480 | − | 3.86187i | 0.0537990 | − | 0.165576i | ||||
\(545\) | −3.49546 | + | 10.7579i | −0.149729 | + | 0.460818i | ||||
\(546\) | 9.60907 | − | 6.98140i | 0.411230 | − | 0.298776i | ||||
\(547\) | −25.6032 | − | 18.6018i | −1.09472 | − | 0.795357i | −0.114526 | − | 0.993420i | \(-0.536535\pi\) |
−0.980189 | + | 0.198063i | \(0.936535\pi\) | |||||||
\(548\) | 0.264968 | + | 0.815488i | 0.0113189 | + | 0.0348359i | ||||
\(549\) | 19.4412 | 0.829731 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.36858 | −0.271311 | ||||||||
\(552\) | −10.6536 | − | 32.7885i | −0.453449 | − | 1.39557i | ||||
\(553\) | 6.45046 | + | 4.68653i | 0.274301 | + | 0.199292i | ||||
\(554\) | −32.6460 | + | 23.7187i | −1.38700 | + | 1.00771i | ||||
\(555\) | −4.55958 | + | 14.0329i | −0.193543 | + | 0.595665i | ||||
\(556\) | −0.0948323 | + | 0.291864i | −0.00402178 | + | 0.0123778i | ||||
\(557\) | −1.23025 | + | 0.893831i | −0.0521275 | + | 0.0378729i | −0.613544 | − | 0.789661i | \(-0.710257\pi\) |
0.561416 | + | 0.827533i | \(0.310257\pi\) | |||||||
\(558\) | −28.9111 | − | 21.0051i | −1.22390 | − | 0.889219i | ||||
\(559\) | 3.85927 | + | 11.8776i | 0.163230 | + | 0.502370i | ||||
\(560\) | −5.15456 | −0.217820 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −33.2519 | −1.40265 | ||||||||
\(563\) | 0.202078 | + | 0.621933i | 0.00851658 | + | 0.0262113i | 0.955225 | − | 0.295882i | \(-0.0956135\pi\) |
−0.946708 | + | 0.322093i | \(0.895614\pi\) | |||||||
\(564\) | 1.44726 | + | 1.05150i | 0.0609407 | + | 0.0442760i | ||||
\(565\) | 3.04878 | − | 2.21507i | 0.128263 | − | 0.0931887i | ||||
\(566\) | −2.17140 | + | 6.68288i | −0.0912707 | + | 0.280902i | ||||
\(567\) | 11.2161 | − | 34.5195i | 0.471030 | − | 1.44968i | ||||
\(568\) | 2.62155 | − | 1.90467i | 0.109998 | − | 0.0799180i | ||||
\(569\) | −26.4230 | − | 19.1974i | −1.10771 | − | 0.804799i | −0.125409 | − | 0.992105i | \(-0.540024\pi\) |
−0.982302 | + | 0.187306i | \(0.940024\pi\) | |||||||
\(570\) | 1.12462 | + | 3.46123i | 0.0471052 | + | 0.144975i | ||||
\(571\) | 26.1457 | 1.09416 | 0.547082 | − | 0.837079i | \(-0.315738\pi\) | ||||
0.547082 | + | 0.837079i | \(0.315738\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −54.2306 | −2.26552 | ||||||||
\(574\) | 1.06330 | + | 3.27249i | 0.0443811 | + | 0.136591i | ||||
\(575\) | 2.94430 | + | 2.13916i | 0.122786 | + | 0.0892091i | ||||
\(576\) | −51.9636 | + | 37.7538i | −2.16515 | + | 1.57307i | ||||
\(577\) | 1.77183 | − | 5.45314i | 0.0737624 | − | 0.227017i | −0.907377 | − | 0.420317i | \(-0.861919\pi\) |
0.981140 | + | 0.193300i | \(0.0619189\pi\) | |||||||
\(578\) | −9.14426 | + | 28.1431i | −0.380351 | + | 1.17060i | ||||
\(579\) | −70.6719 | + | 51.3461i | −2.93702 | + | 2.13387i | ||||
\(580\) | 0.733705 | + | 0.533068i | 0.0304655 | + | 0.0221344i | ||||
\(581\) | −6.77719 | − | 20.8581i | −0.281165 | − | 0.865338i | ||||
\(582\) | −63.4134 | −2.62857 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 36.0676 | 1.49249 | ||||||||
\(585\) | 4.56212 | + | 14.0407i | 0.188620 | + | 0.580513i | ||||
\(586\) | 12.2072 | + | 8.86906i | 0.504276 | + | 0.366378i | ||||
\(587\) | −35.1587 | + | 25.5443i | −1.45116 | + | 1.05433i | −0.465596 | + | 0.884997i | \(0.654160\pi\) |
−0.985560 | + | 0.169329i | \(0.945840\pi\) | |||||||
\(588\) | 0.596854 | − | 1.83693i | 0.0246138 | − | 0.0757536i | ||||
\(589\) | 0.855974 | − | 2.63442i | 0.0352698 | − | 0.108549i | ||||
\(590\) | 1.23906 | − | 0.900232i | 0.0510114 | − | 0.0370620i | ||||
\(591\) | −6.74806 | − | 4.90275i | −0.277578 | − | 0.201672i | ||||
\(592\) | 5.24915 | + | 16.1552i | 0.215739 | + | 0.663975i | ||||
\(593\) | 9.23707 | 0.379321 | 0.189661 | − | 0.981850i | \(-0.439261\pi\) | ||||
0.189661 | + | 0.981850i | \(0.439261\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.52360 | −0.349434 | ||||||||
\(596\) | 0.298788 | + | 0.919574i | 0.0122388 | + | 0.0376672i | ||||
\(597\) | 57.6930 | + | 41.9164i | 2.36122 | + | 1.71553i | ||||
\(598\) | −7.81049 | + | 5.67466i | −0.319395 | + | 0.232054i | ||||
\(599\) | −11.1513 | + | 34.3203i | −0.455631 | + | 1.40229i | 0.414761 | + | 0.909930i | \(0.363865\pi\) |
−0.870392 | + | 0.492359i | \(0.836135\pi\) | |||||||
\(600\) | 2.92734 | − | 9.00943i | 0.119508 | − | 0.367809i | ||||
\(601\) | 18.7118 | − | 13.5949i | 0.763268 | − | 0.554547i | −0.136643 | − | 0.990620i | \(-0.543631\pi\) |
0.899911 | + | 0.436073i | \(0.143631\pi\) | |||||||
\(602\) | 9.85127 | + | 7.15737i | 0.401508 | + | 0.291713i | ||||
\(603\) | 6.46404 | + | 19.8943i | 0.263236 | + | 0.810157i | ||||
\(604\) | 0.859237 | 0.0349619 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 51.0676 | 2.07448 | ||||||||
\(607\) | 6.79788 | + | 20.9217i | 0.275917 | + | 0.849187i | 0.988975 | + | 0.148081i | \(0.0473097\pi\) |
−0.713058 | + | 0.701105i | \(0.752690\pi\) | |||||||
\(608\) | −0.430023 | − | 0.312430i | −0.0174397 | − | 0.0126707i | ||||
\(609\) | −28.3811 | + | 20.6201i | −1.15006 | + | 0.835569i | ||||
\(610\) | −1.07949 | + | 3.32233i | −0.0437072 | + | 0.134517i | ||||
\(611\) | 2.82959 | − | 8.70857i | 0.114473 | − | 0.352311i | ||||
\(612\) | −4.44209 | + | 3.22736i | −0.179561 | + | 0.130458i | ||||
\(613\) | −6.81536 | − | 4.95165i | −0.275270 | − | 0.199995i | 0.441582 | − | 0.897221i | \(-0.354418\pi\) |
−0.716852 | + | 0.697226i | \(0.754418\pi\) | |||||||
\(614\) | 6.08762 | + | 18.7358i | 0.245676 | + | 0.756114i | ||||
\(615\) | −5.95649 | −0.240189 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −17.8709 | −0.719453 | −0.359727 | − | 0.933058i | \(-0.617130\pi\) | ||||
−0.359727 | + | 0.933058i | \(0.617130\pi\) | |||||||
\(618\) | −19.1917 | − | 59.0658i | −0.772002 | − | 2.37598i | ||||
\(619\) | −23.8743 | − | 17.3457i | −0.959587 | − | 0.697181i | −0.00653257 | − | 0.999979i | \(-0.502079\pi\) |
−0.953055 | + | 0.302798i | \(0.902079\pi\) | |||||||
\(620\) | −0.319123 | + | 0.231856i | −0.0128163 | + | 0.00931157i | ||||
\(621\) | −17.0185 | + | 52.3776i | −0.682930 | + | 2.10184i | ||||
\(622\) | −11.6145 | + | 35.7459i | −0.465701 | + | 1.43328i | ||||
\(623\) | 3.00717 | − | 2.18484i | 0.120480 | − | 0.0875338i | ||||
\(624\) | 19.1498 | + | 13.9132i | 0.766606 | + | 0.556972i | ||||
\(625\) | 0.309017 | + | 0.951057i | 0.0123607 | + | 0.0380423i | ||||
\(626\) | −5.31344 | −0.212368 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.993617 | 0.0396496 | ||||||||
\(629\) | 8.68002 | + | 26.7144i | 0.346095 | + | 1.06517i | ||||
\(630\) | 11.6454 | + | 8.46085i | 0.463962 | + | 0.337088i | ||||
\(631\) | −18.6239 | + | 13.5311i | −0.741406 | + | 0.538663i | −0.893151 | − | 0.449757i | \(-0.851511\pi\) |
0.151745 | + | 0.988420i | \(0.451511\pi\) | |||||||
\(632\) | −5.21290 | + | 16.0437i | −0.207358 | + | 0.638183i | ||||
\(633\) | 12.9328 | − | 39.8031i | 0.514033 | − | 1.58203i | ||||
\(634\) | −17.2244 | + | 12.5143i | −0.684069 | + | 0.497005i | ||||
\(635\) | −1.35880 | − | 0.987223i | −0.0539222 | − | 0.0391767i | ||||
\(636\) | 0.979380 | + | 3.01422i | 0.0388350 | + | 0.119522i | ||||
\(637\) | −9.88636 | −0.391712 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −8.52360 | −0.337189 | ||||||||
\(640\) | −3.16230 | − | 9.73256i | −0.125001 | − | 0.384713i | ||||
\(641\) | 3.04878 | + | 2.21507i | 0.120420 | + | 0.0874900i | 0.646365 | − | 0.763028i | \(-0.276288\pi\) |
−0.525945 | + | 0.850518i | \(0.676288\pi\) | |||||||
\(642\) | 3.86064 | − | 2.80492i | 0.152367 | − | 0.110701i | ||||
\(643\) | 8.74551 | − | 26.9159i | 0.344889 | − | 1.06146i | −0.616754 | − | 0.787156i | \(-0.711552\pi\) |
0.961643 | − | 0.274304i | \(-0.0884475\pi\) | |||||||
\(644\) | 0.178688 | − | 0.549944i | 0.00704128 | − | 0.0216708i | ||||
\(645\) | −17.0534 | + | 12.3900i | −0.671477 | + | 0.487857i | ||||
\(646\) | 5.60503 | + | 4.07230i | 0.220527 | + | 0.160222i | ||||
\(647\) | 3.63944 | + | 11.2010i | 0.143081 | + | 0.440358i | 0.996759 | − | 0.0804426i | \(-0.0256334\pi\) |
−0.853678 | + | 0.520801i | \(0.825633\pi\) | |||||||
\(648\) | 76.7931 | 3.01672 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −2.65275 | −0.104049 | ||||||||
\(651\) | −4.71509 | − | 14.5116i | −0.184799 | − | 0.568753i | ||||
\(652\) | 1.53365 | + | 1.11426i | 0.0600622 | + | 0.0436378i | ||||
\(653\) | 37.3185 | − | 27.1135i | 1.46039 | − | 1.06103i | 0.477125 | − | 0.878836i | \(-0.341679\pi\) |
0.983262 | − | 0.182197i | \(-0.0583210\pi\) | |||||||
\(654\) | 15.6506 | − | 48.1676i | 0.611986 | − | 1.88350i | ||||
\(655\) | −3.64463 | + | 11.2170i | −0.142407 | + | 0.438285i | ||||
\(656\) | −5.54769 | + | 4.03063i | −0.216601 | + | 0.157370i | ||||
\(657\) | −76.7535 | − | 55.7647i | −2.99444 | − | 2.17559i | ||||
\(658\) | −2.75889 | − | 8.49099i | −0.107553 | − | 0.331013i | ||||
\(659\) | 15.7781 | 0.614626 | 0.307313 | − | 0.951609i | \(-0.400570\pi\) | ||||
0.307313 | + | 0.951609i | \(0.400570\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −38.6732 | −1.50421 | −0.752106 | − | 0.659042i | \(-0.770962\pi\) | ||||
−0.752106 | + | 0.659042i | \(0.770962\pi\) | |||||||
\(662\) | −11.3924 | − | 35.0623i | −0.442780 | − | 1.36274i | ||||
\(663\) | 31.6662 | + | 23.0069i | 1.22981 | + | 0.893513i | ||||
\(664\) | 37.5396 | − | 27.2741i | 1.45682 | − | 1.05844i | ||||
\(665\) | −0.344786 | + | 1.06114i | −0.0133702 | + | 0.0411493i | ||||
\(666\) | 14.6586 | − | 45.1146i | 0.568010 | − | 1.74815i | ||||
\(667\) | 23.0689 | − | 16.7605i | 0.893232 | − | 0.648971i | ||||
\(668\) | −2.00757 | − | 1.45859i | −0.0776754 | − | 0.0564345i | ||||
\(669\) | −7.42272 | − | 22.8448i | −0.286979 | − | 0.883230i | ||||
\(670\) | −3.75867 | −0.145210 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −2.92795 | −0.112948 | ||||||||
\(673\) | −13.6830 | − | 42.1119i | −0.527440 | − | 1.62329i | −0.759439 | − | 0.650578i | \(-0.774527\pi\) |
0.231999 | − | 0.972716i | \(-0.425473\pi\) | |||||||
\(674\) | −2.14612 | − | 1.55925i | −0.0826655 | − | 0.0600600i | ||||
\(675\) | −12.2426 | + | 8.89475i | −0.471217 | + | 0.342359i | ||||
\(676\) | 0.331407 | − | 1.01996i | 0.0127464 | − | 0.0392294i | ||||
\(677\) | −2.08279 | + | 6.41015i | −0.0800479 | + | 0.246362i | −0.983070 | − | 0.183233i | \(-0.941344\pi\) |
0.903022 | + | 0.429595i | \(0.141344\pi\) | |||||||
\(678\) | −13.6506 | + | 9.91778i | −0.524250 | + | 0.380890i | ||||
\(679\) | −15.7283 | − | 11.4273i | −0.603596 | − | 0.438538i | ||||
\(680\) | −5.57275 | − | 17.1512i | −0.213705 | − | 0.657717i | ||||
\(681\) | 4.47741 | 0.171575 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 33.3303 | 1.27535 | 0.637675 | − | 0.770305i | \(-0.279896\pi\) | ||||
0.637675 | + | 0.770305i | \(0.279896\pi\) | |||||||
\(684\) | 0.222103 | + | 0.683564i | 0.00849233 | + | 0.0261367i | ||||
\(685\) | 5.99308 | + | 4.35423i | 0.228984 | + | 0.166366i | ||||
\(686\) | −18.4691 | + | 13.4186i | −0.705155 | + | 0.512325i | ||||
\(687\) | 29.7314 | − | 91.5038i | 1.13432 | − | 3.49109i | ||||
\(688\) | −7.49895 | + | 23.0794i | −0.285895 | + | 0.879893i | ||||
\(689\) | 13.1243 | − | 9.53539i | 0.499998 | − | 0.363270i | ||||
\(690\) | −13.1828 | − | 9.57789i | −0.501862 | − | 0.364624i | ||||
\(691\) | 2.78284 | + | 8.56471i | 0.105864 | + | 0.325817i | 0.989932 | − | 0.141541i | \(-0.0452058\pi\) |
−0.884068 | + | 0.467358i | \(0.845206\pi\) | |||||||
\(692\) | 1.59013 | 0.0604477 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 5.21655 | 0.198018 | ||||||||
\(695\) | 0.819289 | + | 2.52151i | 0.0310774 | + | 0.0956465i | ||||
\(696\) | −60.0474 | − | 43.6270i | −2.27609 | − | 1.65368i | ||||
\(697\) | −9.17370 | + | 6.66508i | −0.347479 | + | 0.252458i | ||||
\(698\) | 7.29206 | − | 22.4427i | 0.276009 | − | 0.849467i | ||||
\(699\) | 22.1733 | − | 68.2425i | 0.838673 | − | 2.58117i | ||||
\(700\) | 0.128542 | − | 0.0933914i | 0.00485844 | − | 0.00352986i | ||||
\(701\) | 37.1289 | + | 26.9757i | 1.40234 | + | 1.01886i | 0.994381 | + | 0.105857i | \(0.0337587\pi\) |
0.407957 | + | 0.913001i | \(0.366241\pi\) | |||||||
\(702\) | −12.4049 | − | 38.1784i | −0.468194 | − | 1.44095i | ||||
\(703\) | 3.67690 | 0.138677 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 15.4551 | 0.582071 | ||||||||
\(706\) | 0.844998 | + | 2.60064i | 0.0318019 | + | 0.0978762i | ||||
\(707\) | 12.6662 | + | 9.20252i | 0.476361 | + | 0.346096i | ||||
\(708\) | 0.340801 | − | 0.247606i | 0.0128081 | − | 0.00930561i | ||||
\(709\) | −2.62980 | + | 8.09369i | −0.0987642 | + | 0.303965i | −0.988216 | − | 0.153063i | \(-0.951086\pi\) |
0.889452 | + | 0.457028i | \(0.151086\pi\) | |||||||
\(710\) | 0.473280 | − | 1.45661i | 0.0177619 | − | 0.0546655i | ||||
\(711\) | 35.8986 | − | 26.0819i | 1.34630 | − | 0.978147i | ||||
\(712\) | 6.36243 | + | 4.62257i | 0.238442 | + | 0.173238i | ||||
\(713\) | 3.83255 | + | 11.7954i | 0.143530 | + | 0.441740i | ||||
\(714\) | 38.1637 | 1.42824 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0.436202 | 0.0163016 | ||||||||
\(717\) | 18.8714 | + | 58.0801i | 0.704764 | + | 2.16904i | ||||
\(718\) | 17.2976 | + | 12.5675i | 0.645542 | + | 0.469014i | ||||
\(719\) | 7.77105 | − | 5.64600i | 0.289811 | − | 0.210560i | −0.433374 | − | 0.901214i | \(-0.642677\pi\) |
0.723185 | + | 0.690654i | \(0.242677\pi\) | |||||||
\(720\) | −8.86464 | + | 27.2825i | −0.330365 | + | 1.01676i | ||||
\(721\) | 5.88376 | − | 18.1083i | 0.219123 | − | 0.674390i | ||||
\(722\) | −20.3662 | + | 14.7969i | −0.757952 | + | 0.550684i | ||||
\(723\) | 69.3042 | + | 50.3525i | 2.57745 | + | 1.87263i | ||||
\(724\) | 0.000479224 | 0.00147490i | 1.78102e−5 | 5.48142e-5i | ||||||
\(725\) | 7.83511 | 0.290989 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 32.9688 | 1.22274 | 0.611372 | − | 0.791343i | \(-0.290618\pi\) | ||||
0.611372 | + | 0.791343i | \(0.290618\pi\) | |||||||
\(728\) | 2.38074 | + | 7.32717i | 0.0882362 | + | 0.271563i | ||||
\(729\) | −43.6206 | − | 31.6922i | −1.61558 | − | 1.17379i | ||||
\(730\) | 13.7915 | − | 10.0201i | 0.510446 | − | 0.370860i | ||||
\(731\) | −12.4003 | + | 38.1642i | −0.458642 | + | 1.41155i | ||||
\(732\) | −0.296910 | + | 0.913796i | −0.0109741 | + | 0.0337749i | ||||
\(733\) | −22.1431 | + | 16.0879i | −0.817875 | + | 0.594221i | −0.916103 | − | 0.400943i | \(-0.868683\pi\) |
0.0982280 | + | 0.995164i | \(0.468683\pi\) | |||||||
\(734\) | 20.8467 | + | 15.1460i | 0.769466 | + | 0.559050i | ||||
\(735\) | −5.15643 | − | 15.8699i | −0.190198 | − | 0.585369i | ||||
\(736\) | 2.37991 | 0.0877248 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 19.1496 | 0.704905 | ||||||||
\(739\) | −11.9171 | − | 36.6772i | −0.438379 | − | 1.34919i | −0.889584 | − | 0.456771i | \(-0.849006\pi\) |
0.451206 | − | 0.892420i | \(-0.350994\pi\) | |||||||
\(740\) | −0.423605 | − | 0.307767i | −0.0155720 | − | 0.0113137i | ||||
\(741\) | 4.14515 | − | 3.01163i | 0.152276 | − | 0.110635i | ||||
\(742\) | 4.88780 | − | 15.0431i | 0.179437 | − | 0.552250i | ||||
\(743\) | −10.5574 | + | 32.4922i | −0.387312 | + | 1.19202i | 0.547477 | + | 0.836821i | \(0.315588\pi\) |
−0.934789 | + | 0.355204i | \(0.884412\pi\) | |||||||
\(744\) | 26.1174 | − | 18.9754i | 0.957510 | − | 0.695672i | ||||
\(745\) | 6.75802 | + | 4.90999i | 0.247595 | + | 0.179888i | ||||
\(746\) | −1.11417 | − | 3.42908i | −0.0407928 | − | 0.125547i | ||||
\(747\) | −122.055 | −4.46575 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.46300 | 0.0534568 | ||||||||
\(750\) | −1.38360 | − | 4.25827i | −0.0505218 | − | 0.155490i | ||||
\(751\) | 37.1586 | + | 26.9973i | 1.35594 | + | 0.985145i | 0.998692 | + | 0.0511343i | \(0.0162837\pi\) |
0.357244 | + | 0.934011i | \(0.383716\pi\) | |||||||
\(752\) | 14.3944 | − | 10.4581i | 0.524909 | − | 0.381369i | ||||
\(753\) | −22.8059 | + | 70.1893i | −0.831093 | + | 2.55784i | ||||
\(754\) | −6.42280 | + | 19.7673i | −0.233904 | + | 0.719884i | ||||
\(755\) | 6.00554 | − | 4.36328i | 0.218564 | − | 0.158796i | ||||
\(756\) | 1.94518 | + | 1.41326i | 0.0707457 | + | 0.0513997i | ||||
\(757\) | −9.33960 | − | 28.7443i | −0.339453 | − | 1.04473i | −0.964487 | − | 0.264132i | \(-0.914915\pi\) |
0.625033 | − | 0.780598i | \(-0.285085\pi\) | |||||||
\(758\) | −3.65227 | −0.132656 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.36065 | −0.0856296 | ||||||||
\(761\) | 4.15035 | + | 12.7735i | 0.150450 | + | 0.463037i | 0.997672 | − | 0.0682023i | \(-0.0217263\pi\) |
−0.847222 | + | 0.531240i | \(0.821726\pi\) | |||||||
\(762\) | 6.08389 | + | 4.42020i | 0.220396 | + | 0.160127i | ||||
\(763\) | 12.5617 | − | 9.12661i | 0.454764 | − | 0.330405i | ||||
\(764\) | 0.594686 | − | 1.83026i | 0.0215150 | − | 0.0662163i | ||||
\(765\) | −14.6586 | + | 45.1146i | −0.529983 | + | 1.63112i | ||||
\(766\) | 24.3554 | − | 17.6952i | 0.879995 | − | 0.639354i | ||||
\(767\) | −1.74442 | − | 1.26740i | −0.0629874 | − | 0.0457630i | ||||
\(768\) | −2.79052 | − | 8.58833i | −0.100694 | − | 0.309905i | ||||
\(769\) | −10.8982 | −0.393001 | −0.196500 | − | 0.980504i | \(-0.562958\pi\) | ||||
−0.196500 | + | 0.980504i | \(0.562958\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 56.1362 | 2.02169 | ||||||||
\(772\) | −0.957927 | − | 2.94820i | −0.0344765 | − | 0.106108i | ||||
\(773\) | −10.6382 | − | 7.72912i | −0.382630 | − | 0.277997i | 0.379799 | − | 0.925069i | \(-0.375993\pi\) |
−0.762429 | + | 0.647072i | \(0.775993\pi\) | |||||||
\(774\) | 54.8251 | − | 39.8328i | 1.97065 | − | 1.43176i | ||||
\(775\) | −1.05309 | + | 3.24106i | −0.0378279 | + | 0.116422i | ||||
\(776\) | 12.7107 | − | 39.1196i | 0.456288 | − | 1.40431i | ||||
\(777\) | 16.3859 | − | 11.9050i | 0.587839 | − | 0.427090i | ||||
\(778\) | −3.79938 | − | 2.76041i | −0.136214 | − | 0.0989654i | ||||
\(779\) | 0.458683 | + | 1.41168i | 0.0164340 | + | 0.0505787i | ||||
\(780\) | −0.729632 | −0.0261250 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −31.0204 | −1.10929 | ||||||||
\(783\) | 36.6389 | + | 112.763i | 1.30937 | + | 4.02982i | ||||
\(784\) | −15.5414 | − | 11.2915i | −0.555048 | − | 0.403266i | ||||
\(785\) | 6.94477 | − | 5.04567i | 0.247870 | − | 0.180088i | ||||
\(786\) | 16.3185 | − | 50.2232i | 0.582062 | − | 1.79140i | ||||
\(787\) | −3.56646 | + | 10.9764i | −0.127130 | + | 0.391267i | −0.994283 | − | 0.106775i | \(-0.965948\pi\) |
0.867153 | + | 0.498042i | \(0.165948\pi\) | |||||||
\(788\) | 0.239464 | − | 0.173981i | 0.00853054 | − | 0.00619780i | ||||
\(789\) | −15.0795 | − | 10.9559i | −0.536844 | − | 0.390040i | ||||
\(790\) | 2.46386 | + | 7.58297i | 0.0876600 | + | 0.269790i | ||||
\(791\) | −5.17295 | −0.183929 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.91806 | 0.174645 | ||||||||
\(794\) | −2.33733 | − | 7.19355i | −0.0829487 | − | 0.255290i | ||||
\(795\) | 22.1517 | + | 16.0942i | 0.785641 | + | 0.570802i | ||||
\(796\) | −2.04731 | + | 1.48746i | −0.0725651 | + | 0.0527217i | ||||
\(797\) | −1.71348 | + | 5.27355i | −0.0606946 | + | 0.186799i | −0.976807 | − | 0.214124i | \(-0.931310\pi\) |
0.916112 | + | 0.400923i | \(0.131310\pi\) | |||||||
\(798\) | 1.54375 | − | 4.75116i | 0.0546480 | − | 0.168189i | ||||
\(799\) | 23.8026 | − | 17.2936i | 0.842076 | − | 0.611804i | ||||
\(800\) | 0.529047 | + | 0.384375i | 0.0187047 | + | 0.0135897i | ||||
\(801\) | −6.39250 | − | 19.6741i | −0.225868 | − | 0.695150i | ||||
\(802\) | 24.6067 | 0.868891 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −1.03381 | −0.0364597 | ||||||||
\(805\) | −1.54375 | − | 4.75116i | −0.0544099 | − | 0.167456i | ||||
\(806\) | −7.31367 | − | 5.31369i | −0.257613 | − | 0.187167i | ||||
\(807\) | 7.57576 | − | 5.50411i | 0.266679 | − | 0.193754i | ||||
\(808\) | −10.2361 | + | 31.5035i | −0.360105 | + | 1.10829i | ||||
\(809\) | 5.69834 | − | 17.5377i | 0.200343 | − | 0.616592i | −0.799530 | − | 0.600627i | \(-0.794918\pi\) |
0.999873 | − | 0.0159656i | \(-0.00508221\pi\) | |||||||
\(810\) | 29.3640 | − | 21.3342i | 1.03175 | − | 0.749608i | ||||
\(811\) | −5.11960 | − | 3.71961i | −0.179774 | − | 0.130613i | 0.494259 | − | 0.869315i | \(-0.335439\pi\) |
−0.674033 | + | 0.738701i | \(0.735439\pi\) | |||||||
\(812\) | −0.384694 | − | 1.18397i | −0.0135001 | − | 0.0415491i | ||||
\(813\) | −24.9428 | −0.874783 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 16.3776 | 0.573681 | ||||||||
\(816\) | 23.5026 | + | 72.3336i | 0.822755 | + | 2.53218i | ||||
\(817\) | 4.24963 | + | 3.08754i | 0.148676 | + | 0.108019i | ||||
\(818\) | 32.5673 | − | 23.6615i | 1.13869 | − | 0.827306i | ||||
\(819\) | 6.26233 | − | 19.2735i | 0.218823 | − | 0.673469i | ||||
\(820\) | 0.0653182 | − | 0.201029i | 0.00228101 | − | 0.00702022i | ||||
\(821\) | −6.43363 | + | 4.67431i | −0.224535 | + | 0.163134i | −0.694366 | − | 0.719622i | \(-0.744315\pi\) |
0.469831 | + | 0.882757i | \(0.344315\pi\) | |||||||
\(822\) | −26.8335 | − | 19.4957i | −0.935925 | − | 0.679990i | ||||
\(823\) | 0.408647 | + | 1.25769i | 0.0142445 | + | 0.0438402i | 0.957926 | − | 0.287015i | \(-0.0926629\pi\) |
−0.943682 | + | 0.330855i | \(0.892663\pi\) | |||||||
\(824\) | 40.2844 | 1.40337 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.10235 | −0.0731502 | ||||||||
\(827\) | −1.39982 | − | 4.30819i | −0.0486764 | − | 0.149810i | 0.923764 | − | 0.382962i | \(-0.125096\pi\) |
−0.972440 | + | 0.233152i | \(0.925096\pi\) | |||||||
\(828\) | −2.60350 | − | 1.89155i | −0.0904778 | − | 0.0657360i | ||||
\(829\) | 30.5928 | − | 22.2270i | 1.06253 | − | 0.771975i | 0.0879770 | − | 0.996123i | \(-0.471960\pi\) |
0.974555 | + | 0.224148i | \(0.0719598\pi\) | |||||||
\(830\) | 6.77719 | − | 20.8581i | 0.235240 | − | 0.723994i | ||||
\(831\) | −29.6308 | + | 91.1942i | −1.02788 | + | 3.16349i | ||||
\(832\) | −13.1453 | + | 9.55061i | −0.455731 | + | 0.331108i | ||||
\(833\) | −25.6993 | − | 18.6716i | −0.890427 | − | 0.646933i | ||||
\(834\) | −3.66830 | − | 11.2899i | −0.127023 | − | 0.390936i | ||||
\(835\) | −21.4385 | −0.741912 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −51.5699 | −1.78252 | ||||||||
\(838\) | −1.12525 | − | 3.46316i | −0.0388711 | − | 0.119633i | ||||
\(839\) | 31.7555 | + | 23.0717i | 1.09632 | + | 0.796523i | 0.980455 | − | 0.196742i | \(-0.0630360\pi\) |
0.115865 | + | 0.993265i | \(0.463036\pi\) | |||||||
\(840\) | −10.5201 | + | 7.64327i | −0.362977 | + | 0.263718i | ||||
\(841\) | 10.0087 | − | 30.8038i | 0.345129 | − | 1.06220i | ||||
\(842\) | 4.73512 | − | 14.5732i | 0.163183 | − | 0.502226i | ||||
\(843\) | −63.9238 | + | 46.4434i | −2.20165 | + | 1.59959i | ||||
\(844\) | 1.20152 | + | 0.872952i | 0.0413579 | + | 0.0300483i | ||||
\(845\) | −2.86314 | − | 8.81183i | −0.0984949 | − | 0.303136i | ||||
\(846\) | −49.6866 | −1.70826 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 31.5221 | 1.08247 | ||||||||
\(849\) | 5.15974 | + | 15.8801i | 0.177082 | + | 0.545002i | ||||
\(850\) | −6.89574 | − | 5.01005i | −0.236522 | − | 0.171843i | ||||
\(851\) | −13.3188 | + | 9.67671i | −0.456564 | + | 0.331713i | ||||
\(852\) | 0.130174 | − | 0.400635i | 0.00445970 | − | 0.0137255i | ||||
\(853\) | 10.3186 | − | 31.7574i | 0.353302 | − | 1.08735i | −0.603685 | − | 0.797223i | \(-0.706302\pi\) |
0.956987 | − | 0.290130i | \(-0.0936984\pi\) | |||||||
\(854\) | 3.87939 | − | 2.81854i | 0.132750 | − | 0.0964484i | ||||
\(855\) | 5.02356 | + | 3.64983i | 0.171802 | + | 0.124822i | ||||
\(856\) | 0.956512 | + | 2.94384i | 0.0326929 | + | 0.100618i | ||||
\(857\) | −16.9781 | −0.579961 | −0.289980 | − | 0.957033i | \(-0.593649\pi\) | ||||
−0.289980 | + | 0.957033i | \(0.593649\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −40.8148 | −1.39258 | −0.696291 | − | 0.717759i | \(-0.745168\pi\) | ||||
−0.696291 | + | 0.717759i | \(0.745168\pi\) | |||||||
\(860\) | −0.231152 | − | 0.711412i | −0.00788221 | − | 0.0242589i | ||||
\(861\) | 6.61481 | + | 4.80594i | 0.225432 | + | 0.163786i | ||||
\(862\) | 5.06307 | − | 3.67853i | 0.172449 | − | 0.125291i | ||||
\(863\) | 10.8250 | − | 33.3158i | 0.368486 | − | 1.13408i | −0.579283 | − | 0.815126i | \(-0.696668\pi\) |
0.947769 | − | 0.318957i | \(-0.103332\pi\) | |||||||
\(864\) | −3.05798 | + | 9.41149i | −0.104035 | + | 0.320185i | ||||
\(865\) | 11.1140 | − | 8.07481i | 0.377888 | − | 0.274552i | ||||
\(866\) | 22.3914 | + | 16.2683i | 0.760891 | + | 0.552819i | ||||
\(867\) | 21.7288 | + | 66.8745i | 0.737950 | + | 2.27118i | ||||
\(868\) | 0.541464 | 0.0183785 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −35.0810 | −1.18936 | ||||||||
\(871\) | 1.63521 | + | 5.03267i | 0.0554071 | + | 0.170526i | ||||
\(872\) | 26.5774 | + | 19.3096i | 0.900024 | + | 0.653906i | ||||
\(873\) | −87.5323 | + | 63.5959i | −2.96252 | + | 2.15240i | ||||
\(874\) | −1.25480 | + | 3.86187i | −0.0424441 | + | 0.130630i | ||||
\(875\) | 0.424181 | − | 1.30550i | 0.0143400 | − | 0.0441338i | ||||
\(876\) | 3.79331 | − | 2.75600i | 0.128164 | − | 0.0931166i | ||||
\(877\) | 21.5705 | + | 15.6719i | 0.728383 | + | 0.529201i | 0.889051 | − | 0.457807i | \(-0.151365\pi\) |
−0.160669 | + | 0.987008i | \(0.551365\pi\) | |||||||
\(878\) | 14.6287 | + | 45.0224i | 0.493693 | + | 1.51943i | ||||
\(879\) | 35.8548 | 1.20935 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −4.66615 | −0.157207 | −0.0786033 | − | 0.996906i | \(-0.525046\pi\) | ||||
−0.0786033 | + | 0.996906i | \(0.525046\pi\) | |||||||
\(882\) | 16.5774 | + | 51.0201i | 0.558192 | + | 1.71794i | ||||
\(883\) | −5.23509 | − | 3.80352i | −0.176175 | − | 0.127999i | 0.496203 | − | 0.868206i | \(-0.334727\pi\) |
−0.672378 | + | 0.740208i | \(0.734727\pi\) | |||||||
\(884\) | −1.12372 | + | 0.816429i | −0.0377948 | + | 0.0274595i | ||||
\(885\) | 1.12462 | − | 3.46123i | 0.0378038 | − | 0.116348i | ||||
\(886\) | −13.3441 | + | 41.0691i | −0.448305 | + | 1.37974i | ||||
\(887\) | −14.8461 | + | 10.7863i | −0.498483 | + | 0.362169i | −0.808437 | − | 0.588582i | \(-0.799686\pi\) |
0.309954 | + | 0.950751i | \(0.399686\pi\) | |||||||
\(888\) | 34.6684 | + | 25.1880i | 1.16339 | + | 0.845256i | ||||
\(889\) | 0.712440 | + | 2.19266i | 0.0238945 | + | 0.0735396i | ||||
\(890\) | 3.71707 | 0.124597 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0.852396 | 0.0285403 | ||||||||
\(893\) | −1.19013 | − | 3.66283i | −0.0398260 | − | 0.122572i | ||||
\(894\) | −30.2584 | − | 21.9840i | −1.01199 | − | 0.735256i | ||||
\(895\) | 3.04878 | − | 2.21507i | 0.101910 | − | 0.0740416i | ||||
\(896\) | −4.34083 | + | 13.3597i | −0.145017 | + | 0.446316i | ||||
\(897\) | −7.08911 | + | 21.8180i | −0.236698 | + | 0.728483i | ||||
\(898\) | −5.30433 | + | 3.85382i | −0.177008 | + | 0.128604i | ||||
\(899\) | 21.6015 | + | 15.6944i | 0.720451 | + | 0.523438i | ||||
\(900\) | −0.273248 | − | 0.840972i | −0.00910828 | − | 0.0280324i | ||||
\(901\) | 52.1251 | 1.73654 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 28.9350 | 0.962895 | ||||||||
\(904\) | −3.38209 | − | 10.4090i | −0.112486 | − | 0.346198i | ||||
\(905\) | 0.0108391 | + | 0.00787510i | 0.000360305 | + | 0.000261777i | ||||
\(906\) | −26.8893 | + | 19.5362i | −0.893336 | + | 0.649047i | ||||
\(907\) | −9.20391 | + | 28.3267i | −0.305611 | + | 0.940574i | 0.673838 | + | 0.738879i | \(0.264645\pi\) |
−0.979449 | + | 0.201694i | \(0.935355\pi\) | |||||||
\(908\) | −0.0490987 | + | 0.151110i | −0.00162940 | + | 0.00501478i | ||||
\(909\) | 70.4909 | − | 51.2146i | 2.33804 | − | 1.69868i | ||||
\(910\) | 2.94594 | + | 2.14035i | 0.0976569 | + | 0.0709519i | ||||
\(911\) | 14.1746 | + | 43.6249i | 0.469625 | + | 1.44536i | 0.853071 | + | 0.521794i | \(0.174737\pi\) |
−0.383446 | + | 0.923563i | \(0.625263\pi\) | |||||||
\(912\) | 9.95582 | 0.329670 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −2.10235 | −0.0695396 | ||||||||
\(915\) | 2.56511 | + | 7.89461i | 0.0848001 | + | 0.260988i | ||||
\(916\) | 2.76218 | + | 2.00684i | 0.0912649 | + | 0.0663078i | ||||
\(917\) | 13.0978 | − | 9.51610i | 0.432527 | − | 0.314249i | ||||
\(918\) | 39.8585 | − | 122.672i | 1.31553 | − | 4.04877i | ||||
\(919\) | −17.9648 | + | 55.2901i | −0.592606 | + | 1.82385i | −0.0263047 | + | 0.999654i | \(0.508374\pi\) |
−0.566301 | + | 0.824199i | \(0.691626\pi\) | |||||||
\(920\) | 8.55097 | − | 6.21264i | 0.281917 | − | 0.204825i | ||||
\(921\) | 37.8714 | + | 27.5152i | 1.24790 | + | 0.906656i | ||||
\(922\) | −7.85668 | − | 24.1804i | −0.258746 | − | 0.796339i | ||||
\(923\) | −2.15622 | −0.0709730 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.52360 | −0.148735 | ||||||||
\(926\) | −4.10737 | − | 12.6412i | −0.134977 | − | 0.415415i | ||||
\(927\) | −85.7270 | − | 62.2843i | −2.81564 | − | 2.04568i | ||||
\(928\) | 4.14515 | − | 3.01163i | 0.136071 | − | 0.0988614i | ||||
\(929\) | 12.3100 | − | 37.8864i | 0.403879 | − | 1.24301i | −0.517948 | − | 0.855412i | \(-0.673304\pi\) |
0.921827 | − | 0.387601i | \(-0.126696\pi\) | |||||||
\(930\) | 4.71509 | − | 14.5116i | 0.154614 | − | 0.475853i | ||||
\(931\) | −3.36406 | + | 2.44414i | −0.110253 | + | 0.0801033i | ||||
\(932\) | 2.06000 | + | 1.49668i | 0.0674776 | + | 0.0490253i | ||||
\(933\) | 27.5988 | + | 84.9404i | 0.903544 | + | 2.78082i | ||||
\(934\) | 43.5112 | 1.42373 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 42.8763 | 1.40146 | ||||||||
\(937\) | 2.98930 | + | 9.20011i | 0.0976560 | + | 0.300554i | 0.987937 | − | 0.154858i | \(-0.0494919\pi\) |
−0.890281 | + | 0.455412i | \(0.849492\pi\) | |||||||
\(938\) | 4.17408 | + | 3.03265i | 0.136289 | + | 0.0990195i | ||||
\(939\) | −10.2146 | + | 7.42135i | −0.333341 | + | 0.242187i | ||||
\(940\) | −0.169478 | + | 0.521601i | −0.00552777 | + | 0.0170127i | ||||
\(941\) | 1.22725 | − | 3.77709i | 0.0400073 | − | 0.123130i | −0.929058 | − | 0.369934i | \(-0.879380\pi\) |
0.969065 | + | 0.246804i | \(0.0793804\pi\) | |||||||
\(942\) | −31.0946 | + | 22.5916i | −1.01312 | + | 0.736073i | ||||
\(943\) | −5.37669 | − | 3.90639i | −0.175089 | − | 0.127210i | ||||
\(944\) | −1.29471 | − | 3.98469i | −0.0421391 | − | 0.129691i | ||||
\(945\) | 20.7723 | 0.675723 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 2.65275 | 0.0862029 | 0.0431014 | − | 0.999071i | \(-0.486276\pi\) | ||||
0.0431014 | + | 0.999071i | \(0.486276\pi\) | |||||||
\(948\) | 0.677676 | + | 2.08567i | 0.0220099 | + | 0.0677395i | ||||
\(949\) | −19.4164 | − | 14.1068i | −0.630283 | − | 0.457928i | ||||
\(950\) | −0.902660 | + | 0.655821i | −0.0292862 | + | 0.0212776i | ||||
\(951\) | −15.6335 | + | 48.1151i | −0.506953 | + | 1.56024i | ||||
\(952\) | −7.64961 | + | 23.5431i | −0.247925 | + | 0.763035i | ||||
\(953\) | 16.8824 | − | 12.2658i | 0.546875 | − | 0.397328i | −0.279757 | − | 0.960071i | \(-0.590254\pi\) |
0.826632 | + | 0.562743i | \(0.190254\pi\) | |||||||
\(954\) | −71.2158 | − | 51.7413i | −2.30570 | − | 1.67519i | ||||
\(955\) | −5.13770 | − | 15.8122i | −0.166252 | − | 0.511672i | ||||
\(956\) | −2.16711 | −0.0700895 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −42.3259 | −1.36749 | ||||||||
\(959\) | −3.14227 | − | 9.67093i | −0.101469 | − | 0.312291i | ||||
\(960\) | −22.1871 | − | 16.1199i | −0.716085 | − | 0.520267i | ||||
\(961\) | 15.6840 | − | 11.3951i | 0.505936 | − | 0.367584i | ||||
\(962\) | 3.70820 | − | 11.4127i | 0.119557 | − | 0.367960i | ||||
\(963\) | 2.51602 | − | 7.74350i | 0.0810775 | − | 0.249531i | ||||
\(964\) | −2.45935 | + | 1.78682i | −0.0792104 | + | 0.0575498i | ||||
\(965\) | −21.6665 | − | 15.7416i | −0.697469 | − | 0.506741i | ||||
\(966\) | 6.91199 | + | 21.2729i | 0.222390 | + | 0.684445i | ||||
\(967\) | 58.5364 | 1.88240 | 0.941202 | − | 0.337843i | \(-0.109697\pi\) | ||||
0.941202 | + | 0.337843i | \(0.109697\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 16.4630 | 0.528868 | ||||||||
\(970\) | −6.00766 | − | 18.4897i | −0.192894 | − | 0.593668i | ||||
\(971\) | 45.5196 | + | 33.0719i | 1.46079 | + | 1.06133i | 0.983155 | + | 0.182772i | \(0.0585069\pi\) |
0.477638 | + | 0.878557i | \(0.341493\pi\) | |||||||
\(972\) | 3.82528 | − | 2.77923i | 0.122696 | − | 0.0891438i | ||||
\(973\) | 1.12462 | − | 3.46123i | 0.0360537 | − | 0.110962i | ||||
\(974\) | −12.7221 | + | 39.1545i | −0.407642 | + | 1.25459i | ||||
\(975\) | −5.09968 | + | 3.70513i | −0.163320 | + | 0.118659i | ||||
\(976\) | 7.73119 | + | 5.61704i | 0.247469 | + | 0.179797i | ||||
\(977\) | 11.4295 | + | 35.1763i | 0.365662 | + | 1.12539i | 0.949566 | + | 0.313568i | \(0.101524\pi\) |
−0.583904 | + | 0.811823i | \(0.698476\pi\) | |||||||
\(978\) | −73.3290 | −2.34480 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0.592145 | 0.0189154 | ||||||||
\(981\) | −26.7030 | − | 82.1834i | −0.852562 | − | 2.62392i | ||||
\(982\) | 38.3257 | + | 27.8452i | 1.22302 | + | 0.888577i | ||||
\(983\) | 15.9087 | − | 11.5583i | 0.507408 | − | 0.368653i | −0.304432 | − | 0.952534i | \(-0.598467\pi\) |
0.811839 | + | 0.583881i | \(0.198467\pi\) | |||||||
\(984\) | −5.34572 | + | 16.4524i | −0.170415 | + | 0.524485i | ||||
\(985\) | 0.790216 | − | 2.43203i | 0.0251784 | − | 0.0774911i | ||||
\(986\) | −54.0289 | + | 39.2543i | −1.72063 | + | 1.25011i | ||||
\(987\) | −17.1632 | − | 12.4698i | −0.546310 | − | 0.396918i | ||||
\(988\) | 0.0561857 | + | 0.172922i | 0.00178750 | + | 0.00550137i | ||||
\(989\) | −23.5191 | −0.747863 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 18.5763 | 0.590095 | 0.295047 | − | 0.955483i | \(-0.404665\pi\) | ||||
0.295047 | + | 0.955483i | \(0.404665\pi\) | |||||||
\(992\) | 0.688653 | + | 2.11946i | 0.0218648 | + | 0.0672928i | ||||
\(993\) | −70.8729 | − | 51.4922i | −2.24908 | − | 1.63405i | ||||
\(994\) | −1.70084 | + | 1.23573i | −0.0539473 | + | 0.0391950i | ||||
\(995\) | −6.75601 | + | 20.7929i | −0.214180 | + | 0.659178i | ||||
\(996\) | 1.86405 | − | 5.73695i | 0.0590646 | − | 0.181782i | ||||
\(997\) | 24.3554 | − | 17.6952i | 0.771342 | − | 0.560413i | −0.131026 | − | 0.991379i | \(-0.541827\pi\) |
0.902368 | + | 0.430966i | \(0.141827\pi\) | |||||||
\(998\) | 19.8372 | + | 14.4125i | 0.627934 | + | 0.456221i | ||||
\(999\) | −21.1535 | − | 65.1038i | −0.669267 | − | 2.05979i |
(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 | 605.2.g.q.511.2 | 24 | ||
11.2 | odd | 10 | inner | 605.2.g.q.251.5 | 24 | ||
11.3 | even | 5 | 605.2.a.m.1.2 | ✓ | 6 | ||
11.4 | even | 5 | inner | 605.2.g.q.366.5 | 24 | ||
11.5 | even | 5 | inner | 605.2.g.q.81.5 | 24 | ||
11.6 | odd | 10 | inner | 605.2.g.q.81.2 | 24 | ||
11.7 | odd | 10 | inner | 605.2.g.q.366.2 | 24 | ||
11.8 | odd | 10 | 605.2.a.m.1.5 | yes | 6 | ||
11.9 | even | 5 | inner | 605.2.g.q.251.2 | 24 | ||
11.10 | odd | 2 | inner | 605.2.g.q.511.5 | 24 | ||
33.8 | even | 10 | 5445.2.a.bx.1.2 | 6 | |||
33.14 | odd | 10 | 5445.2.a.bx.1.5 | 6 | |||
44.3 | odd | 10 | 9680.2.a.cw.1.1 | 6 | |||
44.19 | even | 10 | 9680.2.a.cw.1.2 | 6 | |||
55.14 | even | 10 | 3025.2.a.bg.1.5 | 6 | |||
55.19 | odd | 10 | 3025.2.a.bg.1.2 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.a.m.1.2 | ✓ | 6 | 11.3 | even | 5 | ||
605.2.a.m.1.5 | yes | 6 | 11.8 | odd | 10 | ||
605.2.g.q.81.2 | 24 | 11.6 | odd | 10 | inner | ||
605.2.g.q.81.5 | 24 | 11.5 | even | 5 | inner | ||
605.2.g.q.251.2 | 24 | 11.9 | even | 5 | inner | ||
605.2.g.q.251.5 | 24 | 11.2 | odd | 10 | inner | ||
605.2.g.q.366.2 | 24 | 11.7 | odd | 10 | inner | ||
605.2.g.q.366.5 | 24 | 11.4 | even | 5 | inner | ||
605.2.g.q.511.2 | 24 | 1.1 | even | 1 | trivial | ||
605.2.g.q.511.5 | 24 | 11.10 | odd | 2 | inner | ||
3025.2.a.bg.1.2 | 6 | 55.19 | odd | 10 | |||
3025.2.a.bg.1.5 | 6 | 55.14 | even | 10 | |||
5445.2.a.bx.1.2 | 6 | 33.8 | even | 10 | |||
5445.2.a.bx.1.5 | 6 | 33.14 | odd | 10 | |||
9680.2.a.cw.1.1 | 6 | 44.3 | odd | 10 | |||
9680.2.a.cw.1.2 | 6 | 44.19 | even | 10 |