Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(52,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([8, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bs (of order \(12\), degree \(4\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 52.7 | ||
Character | \(\chi\) | \(=\) | 315.52 |
Dual form | 315.2.bs.e.103.7 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.48808 | − | 1.48808i | −1.05223 | − | 1.05223i | −0.998559 | − | 0.0536717i | \(-0.982908\pi\) |
−0.0536717 | − | 0.998559i | \(-0.517092\pi\) | |||||||
\(3\) | 0.377509 | + | 1.69041i | 0.217955 | + | 0.975959i | ||||
\(4\) | 2.42876i | 1.21438i | ||||||||
\(5\) | −1.63729 | + | 1.52292i | −0.732216 | + | 0.681072i | ||||
\(6\) | 1.95370 | − | 3.07723i | 0.797595 | − | 1.25627i | ||||
\(7\) | −1.04527 | − | 2.43052i | −0.395074 | − | 0.918649i | ||||
\(8\) | 0.638021 | − | 0.638021i | 0.225575 | − | 0.225575i | ||||
\(9\) | −2.71497 | + | 1.27629i | −0.904992 | + | 0.425430i | ||||
\(10\) | 4.70264 | + | 0.170180i | 1.48711 | + | 0.0538157i | ||||
\(11\) | 0.0441776 | + | 0.0765178i | 0.0133200 | + | 0.0230710i | 0.872609 | − | 0.488420i | \(-0.162427\pi\) |
−0.859289 | + | 0.511491i | \(0.829093\pi\) | |||||||
\(12\) | −4.10559 | + | 0.916876i | −1.18518 | + | 0.264679i | ||||
\(13\) | 1.37787 | − | 5.14229i | 0.382153 | − | 1.42622i | −0.460452 | − | 0.887684i | \(-0.652313\pi\) |
0.842606 | − | 0.538531i | \(-0.181021\pi\) | |||||||
\(14\) | −2.06136 | + | 5.17224i | −0.550922 | + | 1.38234i | ||||
\(15\) | −3.19245 | − | 2.19277i | −0.824288 | − | 0.566170i | ||||
\(16\) | 2.95866 | 0.739665 | ||||||||
\(17\) | −0.913316 | − | 3.40854i | −0.221512 | − | 0.826693i | −0.983772 | − | 0.179422i | \(-0.942577\pi\) |
0.762260 | − | 0.647270i | \(-0.224090\pi\) | |||||||
\(18\) | 5.93931 | + | 2.14088i | 1.39991 | + | 0.504610i | ||||
\(19\) | −2.57895 | − | 4.46688i | −0.591652 | − | 1.02477i | −0.994010 | − | 0.109289i | \(-0.965143\pi\) |
0.402358 | − | 0.915482i | \(-0.368191\pi\) | |||||||
\(20\) | −3.69881 | − | 3.97657i | −0.827079 | − | 0.889187i | ||||
\(21\) | 3.71397 | − | 2.68447i | 0.810456 | − | 0.585800i | ||||
\(22\) | 0.0481248 | − | 0.179604i | 0.0102602 | − | 0.0382918i | ||||
\(23\) | −0.959285 | − | 3.58010i | −0.200025 | − | 0.746503i | −0.990909 | − | 0.134536i | \(-0.957045\pi\) |
0.790884 | − | 0.611966i | \(-0.209621\pi\) | |||||||
\(24\) | 1.31938 | + | 0.837659i | 0.269317 | + | 0.170986i | ||||
\(25\) | 0.361409 | − | 4.98692i | 0.0722818 | − | 0.997384i | ||||
\(26\) | −9.70252 | + | 5.60175i | −1.90282 | + | 1.09859i | ||||
\(27\) | −3.18238 | − | 4.10761i | −0.612449 | − | 0.790510i | ||||
\(28\) | 5.90313 | − | 2.53870i | 1.11559 | − | 0.479769i | ||||
\(29\) | 0.609023 | + | 0.351619i | 0.113093 | + | 0.0652941i | 0.555479 | − | 0.831530i | \(-0.312535\pi\) |
−0.442387 | + | 0.896824i | \(0.645868\pi\) | |||||||
\(30\) | 1.48761 | + | 8.01363i | 0.271600 | + | 1.46308i | ||||
\(31\) | 4.87601i | 0.875758i | 0.899034 | + | 0.437879i | \(0.144270\pi\) | ||||
−0.899034 | + | 0.437879i | \(0.855730\pi\) | |||||||
\(32\) | −5.67876 | − | 5.67876i | −1.00387 | − | 1.00387i | ||||
\(33\) | −0.112669 | + | 0.103564i | −0.0196132 | + | 0.0180282i | ||||
\(34\) | −3.71309 | + | 6.43126i | −0.636790 | + | 1.10295i | ||||
\(35\) | 5.41289 | + | 2.38759i | 0.914946 | + | 0.403576i | ||||
\(36\) | −3.09979 | − | 6.59401i | −0.516632 | − | 1.09900i | ||||
\(37\) | −2.26311 | + | 8.44603i | −0.372053 | + | 1.38852i | 0.485551 | + | 0.874208i | \(0.338619\pi\) |
−0.857604 | + | 0.514311i | \(0.828048\pi\) | |||||||
\(38\) | −2.80938 | + | 10.4847i | −0.455741 | + | 1.70085i | ||||
\(39\) | 9.21274 | + | 0.387912i | 1.47522 | + | 0.0621156i | ||||
\(40\) | −0.0729656 | + | 2.01628i | −0.0115369 | + | 0.318802i | ||||
\(41\) | −2.57843 | + | 1.48865i | −0.402682 | + | 0.232489i | −0.687641 | − | 0.726051i | \(-0.741354\pi\) |
0.284958 | + | 0.958540i | \(0.408020\pi\) | |||||||
\(42\) | −9.52139 | − | 1.53198i | −1.46918 | − | 0.236390i | ||||
\(43\) | −0.595563 | − | 2.22267i | −0.0908225 | − | 0.338954i | 0.905530 | − | 0.424281i | \(-0.139473\pi\) |
−0.996353 | + | 0.0853269i | \(0.972807\pi\) | |||||||
\(44\) | −0.185843 | + | 0.107297i | −0.0280169 | + | 0.0161756i | ||||
\(45\) | 2.50150 | − | 6.22435i | 0.372902 | − | 0.927871i | ||||
\(46\) | −3.89998 | + | 6.75496i | −0.575021 | + | 0.995965i | ||||
\(47\) | −4.06198 | + | 4.06198i | −0.592501 | + | 0.592501i | −0.938306 | − | 0.345805i | \(-0.887606\pi\) |
0.345805 | + | 0.938306i | \(0.387606\pi\) | |||||||
\(48\) | 1.11692 | + | 5.00135i | 0.161213 | + | 0.721882i | ||||
\(49\) | −4.81483 | + | 5.08108i | −0.687833 | + | 0.725869i | ||||
\(50\) | −7.95874 | + | 6.88312i | −1.12554 | + | 0.973421i | ||||
\(51\) | 5.41705 | − | 2.83063i | 0.758539 | − | 0.396368i | ||||
\(52\) | 12.4894 | + | 3.34652i | 1.73196 | + | 0.464078i | ||||
\(53\) | −3.63020 | − | 13.5481i | −0.498646 | − | 1.86097i | −0.508569 | − | 0.861021i | \(-0.669825\pi\) |
0.00992346 | − | 0.999951i | \(-0.496841\pi\) | |||||||
\(54\) | −1.37682 | + | 10.8481i | −0.187362 | + | 1.47624i | ||||
\(55\) | −0.188862 | − | 0.0580025i | −0.0254662 | − | 0.00782105i | ||||
\(56\) | −2.21762 | − | 0.883819i | −0.296343 | − | 0.118105i | ||||
\(57\) | 6.57728 | − | 6.04577i | 0.871182 | − | 0.800782i | ||||
\(58\) | −0.383036 | − | 1.42951i | −0.0502951 | − | 0.187704i | ||||
\(59\) | −3.46294 | −0.450836 | −0.225418 | − | 0.974262i | \(-0.572375\pi\) | ||||
−0.225418 | + | 0.974262i | \(0.572375\pi\) | |||||||
\(60\) | 5.32570 | − | 7.75369i | 0.687545 | − | 1.00100i | ||||
\(61\) | 1.36482i | 0.174747i | 0.996176 | + | 0.0873735i | \(0.0278474\pi\) | ||||
−0.996176 | + | 0.0873735i | \(0.972153\pi\) | |||||||
\(62\) | 7.25589 | − | 7.25589i | 0.921499 | − | 0.921499i | ||||
\(63\) | 5.93992 | + | 5.26473i | 0.748359 | + | 0.663294i | ||||
\(64\) | 10.9836i | 1.37295i | ||||||||
\(65\) | 5.57535 | + | 10.5178i | 0.691537 | + | 1.30457i | ||||
\(66\) | 0.321772 | + | 0.0135485i | 0.0396074 | + | 0.00166771i | ||||
\(67\) | −4.23347 | − | 4.23347i | −0.517200 | − | 0.517200i | 0.399523 | − | 0.916723i | \(-0.369176\pi\) |
−0.916723 | + | 0.399523i | \(0.869176\pi\) | |||||||
\(68\) | 8.27851 | − | 2.21822i | 1.00392 | − | 0.268999i | ||||
\(69\) | 5.68970 | − | 2.97310i | 0.684960 | − | 0.357920i | ||||
\(70\) | −4.50189 | − | 11.6077i | −0.538079 | − | 1.38739i | ||||
\(71\) | 13.4890 | 1.60085 | 0.800425 | − | 0.599433i | \(-0.204607\pi\) | ||||
0.800425 | + | 0.599433i | \(0.204607\pi\) | |||||||
\(72\) | −0.917912 | + | 2.54651i | −0.108177 | + | 0.300109i | ||||
\(73\) | −1.06617 | + | 0.285680i | −0.124786 | + | 0.0334363i | −0.320672 | − | 0.947190i | \(-0.603909\pi\) |
0.195886 | + | 0.980627i | \(0.437242\pi\) | |||||||
\(74\) | 15.9360 | − | 9.20068i | 1.85253 | − | 1.06956i | ||||
\(75\) | 8.56638 | − | 1.27168i | 0.989160 | − | 0.146840i | ||||
\(76\) | 10.8489 | − | 6.26364i | 1.24446 | − | 0.718489i | ||||
\(77\) | 0.139801 | − | 0.187356i | 0.0159317 | − | 0.0213512i | ||||
\(78\) | −13.1320 | − | 14.2865i | −1.48691 | − | 1.61763i | ||||
\(79\) | − | 3.55373i | − | 0.399826i | −0.979814 | − | 0.199913i | \(-0.935934\pi\) | ||
0.979814 | − | 0.199913i | \(-0.0640660\pi\) | |||||||
\(80\) | −4.84417 | + | 4.50581i | −0.541595 | + | 0.503765i | ||||
\(81\) | 5.74217 | − | 6.93018i | 0.638019 | − | 0.770020i | ||||
\(82\) | 6.05214 | + | 1.62166i | 0.668347 | + | 0.179083i | ||||
\(83\) | −0.319553 | + | 0.0856239i | −0.0350755 | + | 0.00939845i | −0.276314 | − | 0.961067i | \(-0.589113\pi\) |
0.241239 | + | 0.970466i | \(0.422446\pi\) | |||||||
\(84\) | 6.51993 | + | 9.02033i | 0.711382 | + | 0.984199i | ||||
\(85\) | 6.68631 | + | 4.18985i | 0.725232 | + | 0.454453i | ||||
\(86\) | −2.42127 | + | 4.19376i | −0.261092 | + | 0.452224i | ||||
\(87\) | −0.364470 | + | 1.16224i | −0.0390753 | + | 0.124605i | ||||
\(88\) | 0.0770062 | + | 0.0206338i | 0.00820889 | + | 0.00219957i | ||||
\(89\) | −5.71165 | − | 9.89286i | −0.605434 | − | 1.04864i | −0.991983 | − | 0.126373i | \(-0.959666\pi\) |
0.386549 | − | 0.922269i | \(-0.373667\pi\) | |||||||
\(90\) | −12.9847 | + | 5.53989i | −1.36871 | + | 0.583956i | ||||
\(91\) | −13.9387 | + | 2.02613i | −1.46117 | + | 0.212396i | ||||
\(92\) | 8.69519 | − | 2.32987i | 0.906536 | − | 0.242906i | ||||
\(93\) | −8.24246 | + | 1.84074i | −0.854704 | + | 0.190876i | ||||
\(94\) | 12.0891 | 1.24690 | ||||||||
\(95\) | 11.0252 | + | 3.38601i | 1.13116 | + | 0.347397i | ||||
\(96\) | 7.45565 | − | 11.7432i | 0.760939 | − | 1.19854i | ||||
\(97\) | 2.70245 | + | 10.0857i | 0.274393 | + | 1.02405i | 0.956247 | + | 0.292559i | \(0.0945069\pi\) |
−0.681855 | + | 0.731488i | \(0.738826\pi\) | |||||||
\(98\) | 14.7259 | − | 0.396205i | 1.48754 | − | 0.0400227i | ||||
\(99\) | −0.217600 | − | 0.151361i | −0.0218696 | − | 0.0152123i | ||||
\(100\) | 12.1120 | + | 0.877774i | 1.21120 | + | 0.0877774i | ||||
\(101\) | −9.95214 | + | 5.74587i | −0.990274 | + | 0.571735i | −0.905356 | − | 0.424653i | \(-0.860396\pi\) |
−0.0849182 | + | 0.996388i | \(0.527063\pi\) | |||||||
\(102\) | −12.2732 | − | 3.84879i | −1.21523 | − | 0.381087i | ||||
\(103\) | −12.6293 | + | 3.38400i | −1.24440 | + | 0.333435i | −0.820170 | − | 0.572120i | \(-0.806121\pi\) |
−0.424228 | + | 0.905555i | \(0.639455\pi\) | |||||||
\(104\) | −2.40178 | − | 4.16000i | −0.235514 | − | 0.407922i | ||||
\(105\) | −1.99259 | + | 10.0513i | −0.194457 | + | 0.980911i | ||||
\(106\) | −14.7586 | + | 25.5626i | −1.43348 | + | 2.48286i | ||||
\(107\) | 3.11943 | − | 11.6419i | 0.301567 | − | 1.12546i | −0.634294 | − | 0.773092i | \(-0.718709\pi\) |
0.935860 | − | 0.352371i | \(-0.114624\pi\) | |||||||
\(108\) | 9.97638 | − | 7.72922i | 0.959978 | − | 0.743744i | ||||
\(109\) | 11.5914 | + | 6.69232i | 1.11026 | + | 0.641008i | 0.938897 | − | 0.344200i | \(-0.111850\pi\) |
0.171363 | + | 0.985208i | \(0.445183\pi\) | |||||||
\(110\) | 0.194729 | + | 0.367354i | 0.0185667 | + | 0.0350258i | ||||
\(111\) | −15.1316 | − | 0.637131i | −1.43623 | − | 0.0604738i | ||||
\(112\) | −3.09259 | − | 7.19107i | −0.292222 | − | 0.679492i | ||||
\(113\) | 14.4209 | + | 3.86407i | 1.35660 | + | 0.363501i | 0.862568 | − | 0.505941i | \(-0.168855\pi\) |
0.494035 | + | 0.869442i | \(0.335521\pi\) | |||||||
\(114\) | −18.7841 | − | 0.790923i | −1.75929 | − | 0.0740767i | ||||
\(115\) | 7.02284 | + | 4.40073i | 0.654884 | + | 0.410370i | ||||
\(116\) | −0.853998 | + | 1.47917i | −0.0792917 | + | 0.137337i | ||||
\(117\) | 2.82216 | + | 15.7198i | 0.260909 | + | 1.45329i | ||||
\(118\) | 5.15313 | + | 5.15313i | 0.474384 | + | 0.474384i | ||||
\(119\) | −7.32986 | + | 5.78267i | −0.671927 | + | 0.530096i | ||||
\(120\) | −3.43589 | + | 0.637821i | −0.313652 | + | 0.0582248i | ||||
\(121\) | 5.49610 | − | 9.51952i | 0.499645 | − | 0.865411i | ||||
\(122\) | 2.03096 | − | 2.03096i | 0.183874 | − | 0.183874i | ||||
\(123\) | −3.48982 | − | 3.79662i | −0.314666 | − | 0.342330i | ||||
\(124\) | −11.8426 | −1.06350 | ||||||||
\(125\) | 7.00297 | + | 8.71541i | 0.626365 | + | 0.779530i | ||||
\(126\) | −1.00473 | − | 16.6734i | −0.0895086 | − | 1.48538i | ||||
\(127\) | 4.64611 | + | 4.64611i | 0.412276 | + | 0.412276i | 0.882531 | − | 0.470255i | \(-0.155838\pi\) |
−0.470255 | + | 0.882531i | \(0.655838\pi\) | |||||||
\(128\) | 4.98688 | − | 4.98688i | 0.440782 | − | 0.440782i | ||||
\(129\) | 3.53240 | − | 1.84582i | 0.311010 | − | 0.162516i | ||||
\(130\) | 7.35476 | − | 23.9479i | 0.645055 | − | 2.10037i | ||||
\(131\) | −16.5971 | − | 9.58232i | −1.45009 | − | 0.837211i | −0.451606 | − | 0.892218i | \(-0.649149\pi\) |
−0.998486 | + | 0.0550067i | \(0.982482\pi\) | |||||||
\(132\) | −0.251533 | − | 0.273646i | −0.0218931 | − | 0.0238178i | ||||
\(133\) | −8.16112 | + | 10.9373i | −0.707659 | + | 0.948382i | ||||
\(134\) | 12.5995i | 1.08843i | ||||||||
\(135\) | 11.4660 | + | 1.87882i | 0.986840 | + | 0.161703i | ||||
\(136\) | −2.75744 | − | 1.59201i | −0.236448 | − | 0.136513i | ||||
\(137\) | −3.70060 | + | 13.8108i | −0.316163 | + | 1.17994i | 0.606738 | + | 0.794902i | \(0.292478\pi\) |
−0.922901 | + | 0.385036i | \(0.874189\pi\) | |||||||
\(138\) | −12.8909 | − | 4.04251i | −1.09735 | − | 0.344121i | ||||
\(139\) | −8.63234 | − | 14.9516i | −0.732185 | − | 1.26818i | −0.955947 | − | 0.293538i | \(-0.905167\pi\) |
0.223762 | − | 0.974644i | \(-0.428166\pi\) | |||||||
\(140\) | −5.79887 | + | 13.1466i | −0.490094 | + | 1.11109i | ||||
\(141\) | −8.39985 | − | 5.33299i | −0.707395 | − | 0.449118i | ||||
\(142\) | −20.0727 | − | 20.0727i | −1.68446 | − | 1.68446i | ||||
\(143\) | 0.454348 | − | 0.121742i | 0.0379945 | − | 0.0101806i | ||||
\(144\) | −8.03268 | + | 3.77610i | −0.669390 | + | 0.314675i | ||||
\(145\) | −1.53263 | + | 0.351793i | −0.127278 | + | 0.0292149i | ||||
\(146\) | 2.01166 | + | 1.16143i | 0.166486 | + | 0.0961209i | ||||
\(147\) | −10.4068 | − | 6.22089i | −0.858335 | − | 0.513090i | ||||
\(148\) | −20.5133 | − | 5.49653i | −1.68619 | − | 0.451812i | ||||
\(149\) | 2.44681 | + | 1.41266i | 0.200450 | + | 0.115730i | 0.596865 | − | 0.802341i | \(-0.296413\pi\) |
−0.396415 | + | 0.918071i | \(0.629746\pi\) | |||||||
\(150\) | −14.6398 | − | 10.8551i | −1.19533 | − | 0.886314i | ||||
\(151\) | −2.94996 | − | 5.10947i | −0.240064 | − | 0.415803i | 0.720668 | − | 0.693280i | \(-0.243835\pi\) |
−0.960732 | + | 0.277477i | \(0.910502\pi\) | |||||||
\(152\) | −4.49539 | − | 1.20454i | −0.364624 | − | 0.0977007i | ||||
\(153\) | 6.82991 | + | 8.08845i | 0.552166 | + | 0.653912i | ||||
\(154\) | −0.486835 | + | 0.0707663i | −0.0392302 | + | 0.00570251i | ||||
\(155\) | −7.42580 | − | 7.98343i | −0.596454 | − | 0.641244i | ||||
\(156\) | −0.942143 | + | 22.3755i | −0.0754318 | + | 1.79147i | ||||
\(157\) | 8.34178 | − | 8.34178i | 0.665747 | − | 0.665747i | −0.290982 | − | 0.956729i | \(-0.593982\pi\) |
0.956729 | + | 0.290982i | \(0.0939819\pi\) | |||||||
\(158\) | −5.28823 | + | 5.28823i | −0.420709 | + | 0.420709i | ||||
\(159\) | 21.5314 | − | 11.2510i | 1.70755 | − | 0.892265i | ||||
\(160\) | 17.9461 | + | 0.649437i | 1.41876 | + | 0.0513425i | ||||
\(161\) | −7.69879 | + | 6.07372i | −0.606750 | + | 0.478677i | ||||
\(162\) | −18.8575 | + | 1.76785i | −1.48158 | + | 0.138895i | ||||
\(163\) | −9.70984 | − | 2.60174i | −0.760533 | − | 0.203784i | −0.142348 | − | 0.989817i | \(-0.545465\pi\) |
−0.618185 | + | 0.786032i | \(0.712132\pi\) | |||||||
\(164\) | −3.61558 | − | 6.26237i | −0.282329 | − | 0.489009i | ||||
\(165\) | 0.0267509 | − | 0.341151i | 0.00208256 | − | 0.0265586i | ||||
\(166\) | 0.602935 | + | 0.348105i | 0.0467968 | + | 0.0270182i | ||||
\(167\) | 1.04965 | + | 0.281253i | 0.0812244 | + | 0.0217640i | 0.299202 | − | 0.954190i | \(-0.403279\pi\) |
−0.217978 | + | 0.975954i | \(0.569946\pi\) | |||||||
\(168\) | 0.656844 | − | 4.08234i | 0.0506766 | − | 0.314960i | ||||
\(169\) | −13.2863 | − | 7.67086i | −1.02202 | − | 0.590066i | ||||
\(170\) | −3.71493 | − | 16.1846i | −0.284922 | − | 1.24130i | ||||
\(171\) | 12.7028 | + | 8.83597i | 0.971408 | + | 0.675703i | ||||
\(172\) | 5.39833 | − | 1.44648i | 0.411619 | − | 0.110293i | ||||
\(173\) | 7.23785 | + | 7.23785i | 0.550283 | + | 0.550283i | 0.926523 | − | 0.376239i | \(-0.122783\pi\) |
−0.376239 | + | 0.926523i | \(0.622783\pi\) | |||||||
\(174\) | 2.27186 | − | 1.18714i | 0.172229 | − | 0.0899969i | ||||
\(175\) | −12.4986 | + | 4.33426i | −0.944803 | + | 0.327639i | ||||
\(176\) | 0.130706 | + | 0.226390i | 0.00985237 | + | 0.0170648i | ||||
\(177\) | −1.30729 | − | 5.85379i | −0.0982619 | − | 0.439998i | ||||
\(178\) | −6.22198 | + | 23.2207i | −0.466357 | + | 1.74047i | ||||
\(179\) | −4.73666 | − | 2.73471i | −0.354034 | − | 0.204402i | 0.312426 | − | 0.949942i | \(-0.398858\pi\) |
−0.666461 | + | 0.745540i | \(0.732192\pi\) | |||||||
\(180\) | 15.1174 | + | 6.07553i | 1.12679 | + | 0.452843i | ||||
\(181\) | 17.8425i | 1.32622i | 0.748520 | + | 0.663112i | \(0.230765\pi\) | ||||
−0.748520 | + | 0.663112i | \(0.769235\pi\) | |||||||
\(182\) | 23.7569 | + | 17.7268i | 1.76098 | + | 1.31400i | ||||
\(183\) | −2.30710 | + | 0.515231i | −0.170546 | + | 0.0380869i | ||||
\(184\) | −2.89622 | − | 1.67214i | −0.213513 | − | 0.123272i | ||||
\(185\) | −9.15731 | − | 17.2751i | −0.673259 | − | 1.27009i | ||||
\(186\) | 15.0046 | + | 9.52627i | 1.10019 | + | 0.698500i | ||||
\(187\) | 0.220466 | − | 0.220466i | 0.0161221 | − | 0.0161221i | ||||
\(188\) | −9.86556 | − | 9.86556i | −0.719520 | − | 0.719520i | ||||
\(189\) | −6.65718 | + | 12.0284i | −0.484239 | + | 0.874936i | ||||
\(190\) | −11.3677 | − | 21.4450i | −0.824700 | − | 1.55578i | ||||
\(191\) | 0.858925 | 0.0621497 | 0.0310748 | − | 0.999517i | \(-0.490107\pi\) | ||||
0.0310748 | + | 0.999517i | \(0.490107\pi\) | |||||||
\(192\) | −18.5667 | + | 4.14639i | −1.33994 | + | 0.299240i | ||||
\(193\) | −8.68815 | + | 8.68815i | −0.625387 | + | 0.625387i | −0.946904 | − | 0.321517i | \(-0.895807\pi\) |
0.321517 | + | 0.946904i | \(0.395807\pi\) | |||||||
\(194\) | 10.9868 | − | 19.0298i | 0.788809 | − | 1.36626i | ||||
\(195\) | −15.6747 | + | 13.3952i | −1.12249 | + | 0.959249i | ||||
\(196\) | −12.3407 | − | 11.6940i | −0.881479 | − | 0.835289i | ||||
\(197\) | 4.02358 | + | 4.02358i | 0.286668 | + | 0.286668i | 0.835761 | − | 0.549093i | \(-0.185027\pi\) |
−0.549093 | + | 0.835761i | \(0.685027\pi\) | |||||||
\(198\) | 0.0985692 | + | 0.549042i | 0.00700501 | + | 0.0390187i | ||||
\(199\) | 11.9528 | − | 20.7029i | 0.847314 | − | 1.46759i | −0.0362825 | − | 0.999342i | \(-0.511552\pi\) |
0.883596 | − | 0.468249i | \(-0.155115\pi\) | |||||||
\(200\) | −2.95117 | − | 3.41235i | −0.208680 | − | 0.241289i | ||||
\(201\) | 5.55813 | − | 8.75447i | 0.392040 | − | 0.617493i | ||||
\(202\) | 23.3599 | + | 6.25926i | 1.64359 | + | 0.440400i | ||||
\(203\) | 0.218025 | − | 1.84778i | 0.0153024 | − | 0.129689i | ||||
\(204\) | 6.87491 | + | 13.1567i | 0.481340 | + | 0.921152i | ||||
\(205\) | 1.95451 | − | 6.36410i | 0.136509 | − | 0.444488i | ||||
\(206\) | 23.8290 | + | 13.7577i | 1.66024 | + | 0.958542i | ||||
\(207\) | 7.17368 | + | 8.49556i | 0.498605 | + | 0.590482i | ||||
\(208\) | 4.07666 | − | 15.2143i | 0.282665 | − | 1.05492i | ||||
\(209\) | 0.227864 | − | 0.394672i | 0.0157617 | − | 0.0273000i | ||||
\(210\) | 17.9223 | − | 11.9921i | 1.23676 | − | 0.827531i | ||||
\(211\) | 5.61540 | + | 9.72616i | 0.386580 | + | 0.669576i | 0.991987 | − | 0.126340i | \(-0.0403229\pi\) |
−0.605407 | + | 0.795916i | \(0.706990\pi\) | |||||||
\(212\) | 32.9050 | − | 8.81686i | 2.25992 | − | 0.605544i | ||||
\(213\) | 5.09221 | + | 22.8019i | 0.348913 | + | 1.56236i | ||||
\(214\) | −21.9660 | + | 12.6821i | −1.50156 | + | 0.866929i | ||||
\(215\) | 4.36007 | + | 2.73215i | 0.297354 | + | 0.186331i | ||||
\(216\) | −4.65117 | − | 0.590319i | −0.316472 | − | 0.0401661i | ||||
\(217\) | 11.8512 | − | 5.09674i | 0.804514 | − | 0.345989i | ||||
\(218\) | −7.29028 | − | 27.2077i | −0.493760 | − | 1.84274i | ||||
\(219\) | −0.885405 | − | 1.69442i | −0.0598301 | − | 0.114498i | ||||
\(220\) | 0.140874 | − | 0.458700i | 0.00949771 | − | 0.0309255i | ||||
\(221\) | −18.7862 | −1.26369 | ||||||||
\(222\) | 21.5689 | + | 23.4651i | 1.44761 | + | 1.57488i | ||||
\(223\) | −24.5939 | + | 6.58992i | −1.64693 | + | 0.441294i | −0.958751 | − | 0.284247i | \(-0.908257\pi\) |
−0.688180 | + | 0.725540i | \(0.741590\pi\) | |||||||
\(224\) | −7.86650 | + | 19.7381i | −0.525603 | + | 1.31881i | ||||
\(225\) | 5.38353 | + | 14.0006i | 0.358902 | + | 0.933375i | ||||
\(226\) | −15.7094 | − | 27.2094i | −1.04497 | − | 1.80995i | ||||
\(227\) | −6.07394 | − | 1.62751i | −0.403142 | − | 0.108022i | 0.0515499 | − | 0.998670i | \(-0.483584\pi\) |
−0.454692 | + | 0.890649i | \(0.650251\pi\) | |||||||
\(228\) | 14.6837 | + | 15.9746i | 0.972452 | + | 1.05794i | ||||
\(229\) | −1.71491 | + | 2.97031i | −0.113324 | + | 0.196283i | −0.917109 | − | 0.398637i | \(-0.869483\pi\) |
0.803784 | + | 0.594921i | \(0.202817\pi\) | |||||||
\(230\) | −3.90191 | − | 16.9992i | −0.257284 | − | 1.12089i | ||||
\(231\) | 0.369484 | + | 0.165592i | 0.0243103 | + | 0.0108951i | ||||
\(232\) | 0.612910 | − | 0.164229i | 0.0402395 | − | 0.0107821i | ||||
\(233\) | 9.14509 | + | 2.45042i | 0.599115 | + | 0.160532i | 0.545616 | − | 0.838036i | \(-0.316296\pi\) |
0.0534991 | + | 0.998568i | \(0.482963\pi\) | |||||||
\(234\) | 19.1926 | − | 27.5918i | 1.25466 | − | 1.80373i | ||||
\(235\) | 0.464538 | − | 12.8367i | 0.0303031 | − | 0.837375i | ||||
\(236\) | − | 8.41063i | − | 0.547485i | ||||||
\(237\) | 6.00727 | − | 1.34156i | 0.390214 | − | 0.0871440i | ||||
\(238\) | 19.5125 | + | 2.30234i | 1.26481 | + | 0.149239i | ||||
\(239\) | 1.38131 | − | 0.797500i | 0.0893495 | − | 0.0515860i | −0.454660 | − | 0.890665i | \(-0.650239\pi\) |
0.544009 | + | 0.839079i | \(0.316906\pi\) | |||||||
\(240\) | −9.44538 | − | 6.48765i | −0.609697 | − | 0.418776i | ||||
\(241\) | 19.3522 | − | 11.1730i | 1.24659 | − | 0.719716i | 0.276158 | − | 0.961112i | \(-0.410939\pi\) |
0.970427 | + | 0.241396i | \(0.0776052\pi\) | |||||||
\(242\) | −22.3444 | + | 5.98717i | −1.43635 | + | 0.384870i | ||||
\(243\) | 13.8826 | + | 7.09043i | 0.890567 | + | 0.454851i | ||||
\(244\) | −3.31481 | −0.212209 | ||||||||
\(245\) | 0.145153 | − | 15.6518i | 0.00927351 | − | 0.999957i | ||||
\(246\) | −0.456546 | + | 10.8428i | −0.0291083 | + | 0.691311i | ||||
\(247\) | −26.5235 | + | 7.10694i | −1.68765 | + | 0.452204i | ||||
\(248\) | 3.11100 | + | 3.11100i | 0.197549 | + | 0.197549i | ||||
\(249\) | −0.265373 | − | 0.507852i | −0.0168174 | − | 0.0321838i | ||||
\(250\) | 2.54825 | − | 23.3902i | 0.161166 | − | 1.47933i | ||||
\(251\) | − | 20.2602i | − | 1.27881i | −0.768869 | − | 0.639406i | \(-0.779180\pi\) | ||
0.768869 | − | 0.639406i | \(-0.220820\pi\) | |||||||
\(252\) | −12.7867 | + | 14.4266i | −0.805489 | + | 0.908791i | ||||
\(253\) | 0.231563 | − | 0.231563i | 0.0145582 | − | 0.0145582i | ||||
\(254\) | − | 13.8276i | − | 0.867618i | ||||||
\(255\) | −4.55842 | + | 12.8843i | −0.285459 | + | 0.806846i | ||||
\(256\) | 7.12538 | 0.445336 | ||||||||
\(257\) | −2.08191 | − | 7.76981i | −0.129866 | − | 0.484667i | 0.870100 | − | 0.492875i | \(-0.164054\pi\) |
−0.999966 | + | 0.00820768i | \(0.997387\pi\) | |||||||
\(258\) | −8.00322 | − | 2.50975i | −0.498259 | − | 0.156251i | ||||
\(259\) | 22.8938 | − | 3.32784i | 1.42255 | − | 0.206782i | ||||
\(260\) | −25.5452 | + | 13.5411i | −1.58424 | + | 0.839786i | ||||
\(261\) | −2.10225 | − | 0.177349i | −0.130126 | − | 0.0109776i | ||||
\(262\) | 10.4385 | + | 38.9570i | 0.644892 | + | 2.40677i | ||||
\(263\) | 20.2170 | + | 5.41712i | 1.24663 | + | 0.334034i | 0.821034 | − | 0.570879i | \(-0.193397\pi\) |
0.425597 | + | 0.904913i | \(0.360064\pi\) | |||||||
\(264\) | −0.00580901 | + | 0.137962i | −0.000357520 | + | 0.00849095i | ||||
\(265\) | 26.5764 | + | 16.6536i | 1.63257 | + | 1.02302i | ||||
\(266\) | 28.4199 | − | 4.13112i | 1.74254 | − | 0.253295i | ||||
\(267\) | 14.5668 | − | 13.3897i | 0.891474 | − | 0.819435i | ||||
\(268\) | 10.2821 | − | 10.2821i | 0.628077 | − | 0.628077i | ||||
\(269\) | −3.69593 | + | 6.40154i | −0.225345 | + | 0.390309i | −0.956423 | − | 0.291985i | \(-0.905684\pi\) |
0.731078 | + | 0.682294i | \(0.239018\pi\) | |||||||
\(270\) | −14.2665 | − | 19.8582i | −0.868234 | − | 1.20853i | ||||
\(271\) | 0.675089 | − | 0.389763i | 0.0410087 | − | 0.0236764i | −0.479355 | − | 0.877621i | \(-0.659130\pi\) |
0.520364 | + | 0.853944i | \(0.325796\pi\) | |||||||
\(272\) | −2.70219 | − | 10.0847i | −0.163844 | − | 0.611476i | ||||
\(273\) | −8.68696 | − | 22.7972i | −0.525759 | − | 1.37975i | ||||
\(274\) | 26.0584 | − | 15.0448i | 1.57424 | − | 0.908890i | ||||
\(275\) | 0.397555 | − | 0.192656i | 0.0239734 | − | 0.0116176i | ||||
\(276\) | 7.22094 | + | 13.8189i | 0.434650 | + | 0.831800i | ||||
\(277\) | −2.46841 | + | 9.21225i | −0.148313 | + | 0.553510i | 0.851273 | + | 0.524723i | \(0.175831\pi\) |
−0.999586 | + | 0.0287871i | \(0.990836\pi\) | |||||||
\(278\) | −9.40363 | + | 35.0948i | −0.563992 | + | 2.10485i | ||||
\(279\) | −6.22320 | − | 13.2383i | −0.372573 | − | 0.792554i | ||||
\(280\) | 4.97687 | − | 1.93021i | 0.297425 | − | 0.115352i | ||||
\(281\) | 9.49861 | − | 16.4521i | 0.566639 | − | 0.981448i | −0.430256 | − | 0.902707i | \(-0.641577\pi\) |
0.996895 | − | 0.0787411i | \(-0.0250900\pi\) | |||||||
\(282\) | 4.56374 | + | 20.4355i | 0.271767 | + | 1.21692i | ||||
\(283\) | −15.8779 | − | 15.8779i | −0.943844 | − | 0.943844i | 0.0546609 | − | 0.998505i | \(-0.482592\pi\) |
−0.998505 | + | 0.0546609i | \(0.982592\pi\) | |||||||
\(284\) | 32.7615i | 1.94404i | ||||||||
\(285\) | −1.56164 | + | 19.9153i | −0.0925034 | + | 1.17968i | ||||
\(286\) | −0.857268 | − | 0.494944i | −0.0506913 | − | 0.0292666i | ||||
\(287\) | 6.31335 | + | 4.71087i | 0.372665 | + | 0.278074i | ||||
\(288\) | 22.6654 | + | 8.16995i | 1.33557 | + | 0.481419i | ||||
\(289\) | 3.93842 | − | 2.27385i | 0.231672 | − | 0.133756i | ||||
\(290\) | 2.80418 | + | 1.75718i | 0.164667 | + | 0.103185i | ||||
\(291\) | −16.0288 | + | 8.37569i | −0.939623 | + | 0.490992i | ||||
\(292\) | −0.693846 | − | 2.58947i | −0.0406043 | − | 0.151537i | ||||
\(293\) | −2.45679 | + | 9.16886i | −0.143527 | + | 0.535651i | 0.856289 | + | 0.516496i | \(0.172764\pi\) |
−0.999817 | + | 0.0191543i | \(0.993903\pi\) | |||||||
\(294\) | 6.22890 | + | 24.7432i | 0.363277 | + | 1.44305i | ||||
\(295\) | 5.66982 | − | 5.27379i | 0.330110 | − | 0.307052i | ||||
\(296\) | 3.94484 | + | 6.83266i | 0.229289 | + | 0.397140i | ||||
\(297\) | 0.173716 | − | 0.424973i | 0.0100800 | − | 0.0246594i | ||||
\(298\) | −1.53888 | − | 5.74319i | −0.0891452 | − | 0.332694i | ||||
\(299\) | −19.7317 | −1.14111 | ||||||||
\(300\) | 3.08859 | + | 20.8056i | 0.178320 | + | 1.20121i | ||||
\(301\) | −4.77972 | + | 3.77081i | −0.275499 | + | 0.217346i | ||||
\(302\) | −3.21353 | + | 11.9931i | −0.184918 | + | 0.690123i | ||||
\(303\) | −13.4699 | − | 14.6541i | −0.773825 | − | 0.841855i | ||||
\(304\) | −7.63024 | − | 13.2160i | −0.437624 | − | 0.757987i | ||||
\(305\) | −2.07851 | − | 2.23460i | −0.119015 | − | 0.127953i | ||||
\(306\) | 1.87280 | − | 22.1997i | 0.107061 | − | 1.26907i | ||||
\(307\) | 4.02496 | − | 4.02496i | 0.229717 | − | 0.229717i | −0.582858 | − | 0.812574i | \(-0.698065\pi\) |
0.812574 | + | 0.582858i | \(0.198065\pi\) | |||||||
\(308\) | 0.455042 | + | 0.339541i | 0.0259284 | + | 0.0193472i | ||||
\(309\) | −10.4880 | − | 20.0711i | −0.596642 | − | 1.14181i | ||||
\(310\) | −0.829801 | + | 22.9301i | −0.0471295 | + | 1.30234i | ||||
\(311\) | 5.58045i | 0.316438i | 0.987404 | + | 0.158219i | \(0.0505753\pi\) | ||||
−0.987404 | + | 0.158219i | \(0.949425\pi\) | |||||||
\(312\) | 6.12542 | − | 5.63043i | 0.346784 | − | 0.318760i | ||||
\(313\) | 22.9394 | + | 22.9394i | 1.29661 | + | 1.29661i | 0.930618 | + | 0.365991i | \(0.119270\pi\) |
0.365991 | + | 0.930618i | \(0.380730\pi\) | |||||||
\(314\) | −24.8265 | −1.40104 | ||||||||
\(315\) | −17.7431 | + | 0.426172i | −0.999712 | + | 0.0240120i | ||||
\(316\) | 8.63115 | 0.485540 | ||||||||
\(317\) | −4.53390 | − | 4.53390i | −0.254649 | − | 0.254649i | 0.568224 | − | 0.822874i | \(-0.307631\pi\) |
−0.822874 | + | 0.568224i | \(0.807631\pi\) | |||||||
\(318\) | −48.7828 | − | 15.2980i | −2.73560 | − | 0.857867i | ||||
\(319\) | 0.0621348i | 0.00347888i | ||||||||
\(320\) | −16.7271 | − | 17.9832i | −0.935074 | − | 1.00529i | ||||
\(321\) | 20.8572 | + | 0.878212i | 1.16413 | + | 0.0490170i | ||||
\(322\) | 20.4946 | + | 2.41822i | 1.14212 | + | 0.134762i | ||||
\(323\) | −12.8701 | + | 12.8701i | −0.716113 | + | 0.716113i | ||||
\(324\) | 16.8317 | + | 13.9463i | 0.935095 | + | 0.774796i | ||||
\(325\) | −25.1462 | − | 8.72982i | −1.39486 | − | 0.484243i | ||||
\(326\) | 10.5774 | + | 18.3206i | 0.585828 | + | 1.01468i | ||||
\(327\) | −6.93691 | + | 22.1207i | −0.383612 | + | 1.22328i | ||||
\(328\) | −0.695297 | + | 2.59488i | −0.0383914 | + | 0.143278i | ||||
\(329\) | 14.1186 | + | 5.62686i | 0.778383 | + | 0.310219i | ||||
\(330\) | −0.547467 | + | 0.467852i | −0.0301371 | + | 0.0257544i | ||||
\(331\) | −5.93070 | −0.325981 | −0.162990 | − | 0.986628i | \(-0.552114\pi\) | ||||
−0.162990 | + | 0.986628i | \(0.552114\pi\) | |||||||
\(332\) | −0.207960 | − | 0.776116i | −0.0114133 | − | 0.0425949i | ||||
\(333\) | −4.63530 | − | 25.8191i | −0.254013 | − | 1.41488i | ||||
\(334\) | −1.14344 | − | 1.98049i | −0.0625660 | − | 0.108368i | ||||
\(335\) | 13.3786 | + | 0.484150i | 0.730953 | + | 0.0264519i | ||||
\(336\) | 10.9884 | − | 7.94244i | 0.599466 | − | 0.433296i | ||||
\(337\) | −2.50004 | + | 9.33028i | −0.136186 | + | 0.508253i | 0.863804 | + | 0.503828i | \(0.168075\pi\) |
−0.999990 | + | 0.00442531i | \(0.998591\pi\) | |||||||
\(338\) | 8.35624 | + | 31.1859i | 0.454519 | + | 1.69629i | ||||
\(339\) | −1.08785 | + | 25.8359i | −0.0590838 | + | 1.40322i | ||||
\(340\) | −10.1761 | + | 16.2394i | −0.551877 | + | 0.880705i | ||||
\(341\) | −0.373102 | + | 0.215411i | −0.0202046 | + | 0.0116651i | ||||
\(342\) | −5.75417 | − | 32.0514i | −0.311150 | − | 1.73314i | ||||
\(343\) | 17.3824 | + | 6.39144i | 0.938564 | + | 0.345105i | ||||
\(344\) | −1.79809 | − | 1.03813i | −0.0969467 | − | 0.0559722i | ||||
\(345\) | −4.78786 | + | 13.5328i | −0.257770 | + | 0.728582i | ||||
\(346\) | − | 21.5410i | − | 1.15805i | ||||||
\(347\) | −21.7726 | − | 21.7726i | −1.16882 | − | 1.16882i | −0.982487 | − | 0.186329i | \(-0.940341\pi\) |
−0.186329 | − | 0.982487i | \(-0.559659\pi\) | |||||||
\(348\) | −2.82279 | − | 0.885208i | −0.151317 | − | 0.0474521i | ||||
\(349\) | 5.20858 | − | 9.02153i | 0.278809 | − | 0.482911i | −0.692280 | − | 0.721629i | \(-0.743394\pi\) |
0.971089 | + | 0.238718i | \(0.0767270\pi\) | |||||||
\(350\) | 25.0486 | + | 12.1491i | 1.33890 | + | 0.649399i | ||||
\(351\) | −25.5075 | + | 10.7050i | −1.36149 | + | 0.571388i | ||||
\(352\) | 0.183652 | − | 0.685400i | 0.00978871 | − | 0.0365320i | ||||
\(353\) | 8.33935 | − | 31.1229i | 0.443859 | − | 1.65650i | −0.275072 | − | 0.961423i | \(-0.588702\pi\) |
0.718932 | − | 0.695081i | \(-0.244631\pi\) | |||||||
\(354\) | −6.76555 | + | 10.6562i | −0.359585 | + | 0.566373i | ||||
\(355\) | −22.0853 | + | 20.5427i | −1.17217 | + | 1.09029i | ||||
\(356\) | 24.0273 | − | 13.8722i | 1.27345 | − | 0.735225i | ||||
\(357\) | −12.5422 | − | 10.2075i | −0.663802 | − | 0.540236i | ||||
\(358\) | 2.97905 | + | 11.1180i | 0.157448 | + | 0.587604i | ||||
\(359\) | −6.83504 | + | 3.94621i | −0.360739 | + | 0.208273i | −0.669405 | − | 0.742898i | \(-0.733451\pi\) |
0.308666 | + | 0.951171i | \(0.400118\pi\) | |||||||
\(360\) | −2.37526 | − | 5.56727i | −0.125187 | − | 0.293421i | ||||
\(361\) | −3.80199 | + | 6.58524i | −0.200105 | + | 0.346591i | ||||
\(362\) | 26.5511 | − | 26.5511i | 1.39549 | − | 1.39549i | ||||
\(363\) | 18.1667 | + | 5.69696i | 0.953505 | + | 0.299013i | ||||
\(364\) | −4.92097 | − | 33.8536i | −0.257929 | − | 1.77441i | ||||
\(365\) | 1.31056 | − | 2.09144i | 0.0685978 | − | 0.109471i | ||||
\(366\) | 4.19985 | + | 2.66645i | 0.219530 | + | 0.139377i | ||||
\(367\) | −8.71417 | − | 2.33496i | −0.454876 | − | 0.121884i | 0.0241040 | − | 0.999709i | \(-0.492327\pi\) |
−0.478980 | + | 0.877826i | \(0.658993\pi\) | |||||||
\(368\) | −2.83820 | − | 10.5923i | −0.147951 | − | 0.552162i | ||||
\(369\) | 5.10041 | − | 7.33248i | 0.265517 | − | 0.381713i | ||||
\(370\) | −12.0799 | + | 39.3335i | −0.628005 | + | 2.04485i | ||||
\(371\) | −29.1343 | + | 22.9846i | −1.51258 | + | 1.19330i | ||||
\(372\) | −4.47070 | − | 20.0189i | −0.231795 | − | 1.03793i | ||||
\(373\) | −0.859552 | − | 3.20789i | −0.0445059 | − | 0.166098i | 0.940096 | − | 0.340910i | \(-0.110735\pi\) |
−0.984602 | + | 0.174811i | \(0.944068\pi\) | |||||||
\(374\) | −0.656142 | −0.0339283 | ||||||||
\(375\) | −12.0889 | + | 15.1280i | −0.624270 | + | 0.781208i | ||||
\(376\) | 5.18326i | 0.267306i | ||||||||
\(377\) | 2.64729 | − | 2.64729i | 0.136342 | − | 0.136342i | ||||
\(378\) | 27.8056 | − | 7.99276i | 1.43016 | − | 0.411103i | ||||
\(379\) | 9.10326i | 0.467603i | 0.972284 | + | 0.233802i | \(0.0751166\pi\) | ||||
−0.972284 | + | 0.233802i | \(0.924883\pi\) | |||||||
\(380\) | −8.22378 | + | 26.7775i | −0.421871 | + | 1.37366i | ||||
\(381\) | −6.09989 | + | 9.60779i | −0.312507 | + | 0.492222i | ||||
\(382\) | −1.27815 | − | 1.27815i | −0.0653958 | − | 0.0653958i | ||||
\(383\) | 19.6941 | − | 5.27701i | 1.00632 | − | 0.269643i | 0.282229 | − | 0.959347i | \(-0.408926\pi\) |
0.724091 | + | 0.689705i | \(0.242260\pi\) | |||||||
\(384\) | 10.3125 | + | 6.54729i | 0.526256 | + | 0.334115i | ||||
\(385\) | 0.0564355 | + | 0.519661i | 0.00287622 | + | 0.0264844i | ||||
\(386\) | 25.8573 | 1.31610 | ||||||||
\(387\) | 4.45371 | + | 5.27439i | 0.226395 | + | 0.268112i | ||||
\(388\) | −24.4957 | + | 6.56360i | −1.24358 | + | 0.333216i | ||||
\(389\) | 10.4643 | − | 6.04159i | 0.530563 | − | 0.306321i | −0.210682 | − | 0.977555i | \(-0.567569\pi\) |
0.741246 | + | 0.671234i | \(0.234235\pi\) | |||||||
\(390\) | 43.2582 | + | 3.39204i | 2.19046 | + | 0.171762i | ||||
\(391\) | −11.3268 | + | 6.53953i | −0.572821 | + | 0.330718i | ||||
\(392\) | 0.169875 | + | 6.31380i | 0.00857997 | + | 0.318895i | ||||
\(393\) | 9.93252 | − | 31.6732i | 0.501029 | − | 1.59770i | ||||
\(394\) | − | 11.9748i | − | 0.603282i | ||||||
\(395\) | 5.41206 | + | 5.81848i | 0.272310 | + | 0.292759i | ||||
\(396\) | 0.367618 | − | 0.528497i | 0.0184735 | − | 0.0265580i | ||||
\(397\) | −26.5856 | − | 7.12359i | −1.33429 | − | 0.357523i | −0.479979 | − | 0.877280i | \(-0.659356\pi\) |
−0.854314 | + | 0.519757i | \(0.826022\pi\) | |||||||
\(398\) | −48.5943 | + | 13.0208i | −2.43581 | + | 0.652674i | ||||
\(399\) | −21.5694 | − | 9.66674i | −1.07982 | − | 0.483942i | ||||
\(400\) | 1.06929 | − | 14.7546i | 0.0534643 | − | 0.737730i | ||||
\(401\) | −3.10574 | + | 5.37931i | −0.155093 | + | 0.268630i | −0.933093 | − | 0.359635i | \(-0.882901\pi\) |
0.778000 | + | 0.628265i | \(0.216235\pi\) | |||||||
\(402\) | −21.2983 | + | 4.75641i | −1.06226 | + | 0.237228i | ||||
\(403\) | 25.0739 | + | 6.71853i | 1.24902 | + | 0.334674i | ||||
\(404\) | −13.9553 | − | 24.1713i | −0.694302 | − | 1.20257i | ||||
\(405\) | 1.15256 | + | 20.0916i | 0.0572710 | + | 0.998359i | ||||
\(406\) | −3.07408 | + | 2.42520i | −0.152564 | + | 0.120361i | ||||
\(407\) | −0.746251 | + | 0.199957i | −0.0369903 | + | 0.00991151i | ||||
\(408\) | 1.65019 | − | 5.26220i | 0.0816965 | − | 0.260518i | ||||
\(409\) | −2.77080 | −0.137007 | −0.0685036 | − | 0.997651i | \(-0.521822\pi\) | ||||
−0.0685036 | + | 0.997651i | \(0.521822\pi\) | |||||||
\(410\) | −12.3787 | + | 6.56181i | −0.611343 | + | 0.324065i | ||||
\(411\) | −24.7430 | − | 1.04183i | −1.22048 | − | 0.0513895i | ||||
\(412\) | −8.21891 | − | 30.6734i | −0.404917 | − | 1.51117i | ||||
\(413\) | 3.61970 | + | 8.41673i | 0.178114 | + | 0.414160i | ||||
\(414\) | 1.96706 | − | 23.3171i | 0.0966759 | − | 1.14597i | ||||
\(415\) | 0.392801 | − | 0.626845i | 0.0192818 | − | 0.0307706i | ||||
\(416\) | −37.0265 | + | 21.3772i | −1.81537 | + | 1.04811i | ||||
\(417\) | 22.0156 | − | 20.2366i | 1.07811 | − | 0.990989i | ||||
\(418\) | −0.926381 | + | 0.248223i | −0.0453108 | + | 0.0121410i | ||||
\(419\) | 6.18341 | + | 10.7100i | 0.302079 | + | 0.523217i | 0.976607 | − | 0.215033i | \(-0.0689859\pi\) |
−0.674527 | + | 0.738250i | \(0.735653\pi\) | |||||||
\(420\) | −24.4123 | − | 4.83952i | −1.19120 | − | 0.236144i | ||||
\(421\) | 5.64924 | − | 9.78478i | 0.275327 | − | 0.476881i | −0.694890 | − | 0.719116i | \(-0.744547\pi\) |
0.970218 | + | 0.242235i | \(0.0778804\pi\) | |||||||
\(422\) | 6.11713 | − | 22.8294i | 0.297777 | − | 1.11132i | ||||
\(423\) | 5.84392 | − | 16.2124i | 0.284141 | − | 0.788276i | ||||
\(424\) | −10.9601 | − | 6.32782i | −0.532270 | − | 0.307306i | ||||
\(425\) | −17.3282 | + | 3.32276i | −0.840542 | + | 0.161177i | ||||
\(426\) | 26.3535 | − | 41.5087i | 1.27683 | − | 2.01110i | ||||
\(427\) | 3.31721 | − | 1.42660i | 0.160531 | − | 0.0690380i | ||||
\(428\) | 28.2753 | + | 7.57634i | 1.36674 | + | 0.366216i | ||||
\(429\) | 0.377315 | + | 0.722076i | 0.0182169 | + | 0.0348622i | ||||
\(430\) | −2.42246 | − | 10.5538i | −0.116822 | − | 0.508948i | ||||
\(431\) | 15.9132 | − | 27.5625i | 0.766513 | − | 1.32764i | −0.172929 | − | 0.984934i | \(-0.555323\pi\) |
0.939443 | − | 0.342706i | \(-0.111343\pi\) | |||||||
\(432\) | −9.41557 | − | 12.1530i | −0.453007 | − | 0.584713i | ||||
\(433\) | −6.61149 | − | 6.61149i | −0.317728 | − | 0.317728i | 0.530166 | − | 0.847894i | \(-0.322130\pi\) |
−0.847894 | + | 0.530166i | \(0.822130\pi\) | |||||||
\(434\) | −25.2199 | − | 10.0512i | −1.21059 | − | 0.482474i | ||||
\(435\) | −1.17326 | − | 2.45797i | −0.0562534 | − | 0.117851i | ||||
\(436\) | −16.2540 | + | 28.1528i | −0.778426 | + | 1.34827i | ||||
\(437\) | −13.5179 | + | 13.5179i | −0.646650 | + | 0.646650i | ||||
\(438\) | −1.20388 | + | 3.83898i | −0.0575236 | + | 0.183434i | ||||
\(439\) | −9.38697 | −0.448015 | −0.224008 | − | 0.974587i | \(-0.571914\pi\) | ||||
−0.224008 | + | 0.974587i | \(0.571914\pi\) | |||||||
\(440\) | −0.157505 | + | 0.0834912i | −0.00750875 | + | 0.00398029i | ||||
\(441\) | 6.58721 | − | 19.9401i | 0.313677 | − | 0.949530i | ||||
\(442\) | 27.9553 | + | 27.9553i | 1.32970 | + | 1.32970i | ||||
\(443\) | 17.9103 | − | 17.9103i | 0.850943 | − | 0.850943i | −0.139307 | − | 0.990249i | \(-0.544487\pi\) |
0.990249 | + | 0.139307i | \(0.0444874\pi\) | |||||||
\(444\) | 1.54744 | − | 36.7510i | 0.0734381 | − | 1.74412i | ||||
\(445\) | 24.4177 | + | 7.49904i | 1.15751 | + | 0.355489i | ||||
\(446\) | 46.4040 | + | 26.7914i | 2.19729 | + | 1.26861i | ||||
\(447\) | −1.46429 | + | 4.66940i | −0.0692586 | + | 0.220855i | ||||
\(448\) | 26.6957 | − | 11.4808i | 1.26125 | − | 0.542415i | ||||
\(449\) | − | 7.88064i | − | 0.371910i | −0.982558 | − | 0.185955i | \(-0.940462\pi\) | ||
0.982558 | − | 0.185955i | \(-0.0595379\pi\) | |||||||
\(450\) | 12.8229 | − | 28.8452i | 0.604478 | − | 1.35977i | ||||
\(451\) | −0.227817 | − | 0.131530i | −0.0107275 | − | 0.00619352i | ||||
\(452\) | −9.38487 | + | 35.0248i | −0.441427 | + | 1.64743i | ||||
\(453\) | 7.52347 | − | 6.91550i | 0.353484 | − | 0.324919i | ||||
\(454\) | 6.61665 | + | 11.4604i | 0.310535 | + | 0.537862i | ||||
\(455\) | 19.7360 | − | 24.5449i | 0.925236 | − | 1.15068i | ||||
\(456\) | 0.339112 | − | 8.05377i | 0.0158804 | − | 0.377152i | ||||
\(457\) | 29.0388 | + | 29.0388i | 1.35838 | + | 1.35838i | 0.875917 | + | 0.482461i | \(0.160257\pi\) |
0.482461 | + | 0.875917i | \(0.339743\pi\) | |||||||
\(458\) | 6.97197 | − | 1.86813i | 0.325779 | − | 0.0872921i | ||||
\(459\) | −11.0944 | + | 14.5988i | −0.517845 | + | 0.681414i | ||||
\(460\) | −10.6883 | + | 17.0568i | −0.498344 | + | 0.795276i | ||||
\(461\) | 14.4344 | + | 8.33373i | 0.672279 | + | 0.388140i | 0.796940 | − | 0.604059i | \(-0.206451\pi\) |
−0.124661 | + | 0.992199i | \(0.539784\pi\) | |||||||
\(462\) | −0.303408 | − | 0.796235i | −0.0141158 | − | 0.0370442i | ||||
\(463\) | −4.55437 | − | 1.22034i | −0.211659 | − | 0.0567140i | 0.151431 | − | 0.988468i | \(-0.451612\pi\) |
−0.363091 | + | 0.931754i | \(0.618278\pi\) | |||||||
\(464\) | 1.80189 | + | 1.04032i | 0.0836507 | + | 0.0482957i | ||||
\(465\) | 10.6920 | − | 15.5665i | 0.495828 | − | 0.721877i | ||||
\(466\) | −9.96219 | − | 17.2550i | −0.461490 | − | 0.799323i | ||||
\(467\) | 16.4313 | + | 4.40276i | 0.760350 | + | 0.203735i | 0.618104 | − | 0.786096i | \(-0.287901\pi\) |
0.142246 | + | 0.989831i | \(0.454568\pi\) | |||||||
\(468\) | −38.1794 | + | 6.85433i | −1.76485 | + | 0.316842i | ||||
\(469\) | −5.86441 | + | 14.7146i | −0.270793 | + | 0.679458i | ||||
\(470\) | −19.7933 | + | 18.4108i | −0.912997 | + | 0.849226i | ||||
\(471\) | 17.2501 | + | 10.9519i | 0.794844 | + | 0.504639i | ||||
\(472\) | −2.20943 | + | 2.20943i | −0.101697 | + | 0.101697i | ||||
\(473\) | 0.143764 | − | 0.143764i | 0.00661025 | − | 0.00661025i | ||||
\(474\) | −10.9356 | − | 6.94293i | −0.502291 | − | 0.318899i | ||||
\(475\) | −23.2080 | + | 11.2467i | −1.06486 | + | 0.516032i | ||||
\(476\) | −14.0447 | − | 17.8024i | −0.643737 | − | 0.815973i | ||||
\(477\) | 27.1472 | + | 32.1495i | 1.24298 | + | 1.47203i | ||||
\(478\) | −3.24224 | − | 0.868755i | −0.148297 | − | 0.0397359i | ||||
\(479\) | 2.37092 | + | 4.10655i | 0.108330 | + | 0.187633i | 0.915094 | − | 0.403241i | \(-0.132116\pi\) |
−0.806764 | + | 0.590874i | \(0.798783\pi\) | |||||||
\(480\) | 5.67698 | + | 30.5814i | 0.259117 | + | 1.39584i | ||||
\(481\) | 40.3137 | + | 23.2751i | 1.83815 | + | 1.06125i | ||||
\(482\) | −45.4239 | − | 12.1713i | −2.06900 | − | 0.554387i | ||||
\(483\) | −13.1734 | − | 10.7212i | −0.599413 | − | 0.487833i | ||||
\(484\) | 23.1206 | + | 13.3487i | 1.05094 | + | 0.606758i | ||||
\(485\) | −19.7844 | − | 12.3975i | −0.898365 | − | 0.562943i | ||||
\(486\) | −10.1072 | − | 31.2095i | −0.458474 | − | 1.41569i | ||||
\(487\) | 20.5040 | − | 5.49403i | 0.929125 | − | 0.248958i | 0.237644 | − | 0.971352i | \(-0.423625\pi\) |
0.691482 | + | 0.722394i | \(0.256958\pi\) | |||||||
\(488\) | 0.870783 | + | 0.870783i | 0.0394185 | + | 0.0394185i | ||||
\(489\) | 0.732468 | − | 17.3958i | 0.0331233 | − | 0.786665i | ||||
\(490\) | −23.5071 | + | 23.0751i | −1.06194 | + | 1.04243i | ||||
\(491\) | 9.50551 | + | 16.4640i | 0.428978 | + | 0.743011i | 0.996783 | − | 0.0801518i | \(-0.0255405\pi\) |
−0.567805 | + | 0.823163i | \(0.692207\pi\) | |||||||
\(492\) | 9.22106 | − | 8.47591i | 0.415717 | − | 0.382123i | ||||
\(493\) | 0.642279 | − | 2.39702i | 0.0289268 | − | 0.107956i | ||||
\(494\) | 50.0447 | + | 28.8933i | 2.25162 | + | 1.29997i | ||||
\(495\) | 0.586784 | − | 0.0835674i | 0.0263740 | − | 0.00375607i | ||||
\(496\) | 14.4265i | 0.647767i | ||||||||
\(497\) | −14.0996 | − | 32.7852i | −0.632454 | − | 1.47062i | ||||
\(498\) | −0.360827 | + | 1.15062i | −0.0161690 | + | 0.0515605i | ||||
\(499\) | 36.8723 | + | 21.2882i | 1.65063 | + | 0.952992i | 0.976813 | + | 0.214093i | \(0.0686796\pi\) |
0.673817 | + | 0.738898i | \(0.264654\pi\) | |||||||
\(500\) | −21.1676 | + | 17.0085i | −0.946644 | + | 0.760643i | ||||
\(501\) | −0.0791810 | + | 1.88052i | −0.00353755 | + | 0.0840153i | ||||
\(502\) | −30.1488 | + | 30.1488i | −1.34561 | + | 1.34561i | ||||
\(503\) | −7.74911 | − | 7.74911i | −0.345516 | − | 0.345516i | 0.512920 | − | 0.858436i | \(-0.328564\pi\) |
−0.858436 | + | 0.512920i | \(0.828564\pi\) | |||||||
\(504\) | 7.14880 | − | 0.430784i | 0.318433 | − | 0.0191886i | ||||
\(505\) | 7.54397 | − | 24.5640i | 0.335702 | − | 1.09308i | ||||
\(506\) | −0.689167 | −0.0306372 | ||||||||
\(507\) | 7.95120 | − | 25.3551i | 0.353125 | − | 1.12606i | ||||
\(508\) | −11.2843 | + | 11.2843i | −0.500659 | + | 0.500659i | ||||
\(509\) | 2.24025 | − | 3.88022i | 0.0992972 | − | 0.171988i | −0.812097 | − | 0.583523i | \(-0.801674\pi\) |
0.911394 | + | 0.411535i | \(0.135007\pi\) | |||||||
\(510\) | 25.9561 | − | 12.3896i | 1.14936 | − | 0.548619i | ||||
\(511\) | 1.80878 | + | 2.29274i | 0.0800159 | + | 0.101425i | ||||
\(512\) | −20.5769 | − | 20.5769i | −0.909378 | − | 0.909378i | ||||
\(513\) | −10.1410 | + | 24.8086i | −0.447736 | + | 1.09533i | ||||
\(514\) | −8.46403 | + | 14.6601i | −0.373333 | + | 0.646631i | ||||
\(515\) | 15.5241 | − | 24.7740i | 0.684075 | − | 1.09167i | ||||
\(516\) | 4.48305 | + | 8.57933i | 0.197355 | + | 0.377684i | ||||
\(517\) | −0.490263 | − | 0.131366i | −0.0215617 | − | 0.00577745i | ||||
\(518\) | −39.0198 | − | 29.1157i | −1.71443 | − | 1.27927i | ||||
\(519\) | −9.50258 | + | 14.9673i | −0.417117 | + | 0.656991i | ||||
\(520\) | 10.2678 | + | 3.15339i | 0.450271 | + | 0.138285i | ||||
\(521\) | 25.1653 | + | 14.5292i | 1.10251 | + | 0.636534i | 0.936879 | − | 0.349653i | \(-0.113701\pi\) |
0.165631 | + | 0.986188i | \(0.447034\pi\) | |||||||
\(522\) | 2.86440 | + | 3.39222i | 0.125371 | + | 0.148473i | ||||
\(523\) | 1.73790 | − | 6.48593i | 0.0759931 | − | 0.283610i | −0.917464 | − | 0.397820i | \(-0.869767\pi\) |
0.993457 | + | 0.114210i | \(0.0364336\pi\) | |||||||
\(524\) | 23.2731 | − | 40.3102i | 1.01669 | − | 1.76096i | ||||
\(525\) | −12.0450 | − | 19.4915i | −0.525686 | − | 0.850678i | ||||
\(526\) | −22.0233 | − | 38.1455i | −0.960263 | − | 1.66322i | ||||
\(527\) | 16.6201 | − | 4.45334i | 0.723983 | − | 0.193991i | ||||
\(528\) | −0.333349 | + | 0.306412i | −0.0145072 | + | 0.0133349i | ||||
\(529\) | 8.02169 | − | 4.63132i | 0.348769 | − | 0.201362i | ||||
\(530\) | −14.7659 | − | 64.3295i | −0.641389 | − | 2.79430i | ||||
\(531\) | 9.40179 | − | 4.41971i | 0.408003 | − | 0.191799i | ||||
\(532\) | −26.5639 | − | 19.8214i | −1.15169 | − | 0.859366i | ||||
\(533\) | 4.10236 | + | 15.3102i | 0.177693 | + | 0.663158i | ||||
\(534\) | −41.6014 | − | 1.75167i | −1.80027 | − | 0.0758022i | ||||
\(535\) | 12.6223 | + | 23.8117i | 0.545709 | + | 1.02947i | ||||
\(536\) | −5.40208 | −0.233335 | ||||||||
\(537\) | 2.83465 | − | 9.03927i | 0.122324 | − | 0.390073i | ||||
\(538\) | 15.0258 | − | 4.02616i | 0.647809 | − | 0.173580i | ||||
\(539\) | −0.601501 | − | 0.143950i | −0.0259085 | − | 0.00620038i | ||||
\(540\) | −4.56318 | + | 27.8482i | −0.196368 | + | 1.19840i | ||||
\(541\) | −12.0145 | − | 20.8098i | −0.516544 | − | 0.894681i | −0.999815 | − | 0.0192104i | \(-0.993885\pi\) |
0.483271 | − | 0.875471i | \(-0.339449\pi\) | |||||||
\(542\) | −1.58458 | − | 0.424587i | −0.0680636 | − | 0.0182376i | ||||
\(543\) | −30.1612 | + | 6.73570i | −1.29434 | + | 0.289057i | ||||
\(544\) | −14.1698 | + | 24.5428i | −0.607525 | + | 1.05226i | ||||
\(545\) | −29.1704 | + | 6.69564i | −1.24952 | + | 0.286810i | ||||
\(546\) | −20.9972 | + | 46.8509i | −0.898595 | + | 2.00503i | ||||
\(547\) | 6.16965 | − | 1.65315i | 0.263795 | − | 0.0706837i | −0.124497 | − | 0.992220i | \(-0.539732\pi\) |
0.388292 | + | 0.921536i | \(0.373065\pi\) | |||||||
\(548\) | −33.5431 | − | 8.98785i | −1.43289 | − | 0.383942i | ||||
\(549\) | −1.74190 | − | 3.70545i | −0.0743426 | − | 0.158145i | ||||
\(550\) | −0.878279 | − | 0.304905i | −0.0374500 | − | 0.0130012i | ||||
\(551\) | − | 3.62724i | − | 0.154526i | ||||||
\(552\) | 1.73325 | − | 5.52705i | 0.0737719 | − | 0.235247i | ||||
\(553\) | −8.63741 | + | 3.71460i | −0.367300 | + | 0.157961i | ||||
\(554\) | 17.3817 | − | 10.0354i | 0.738479 | − | 0.426361i | ||||
\(555\) | 25.7451 | − | 22.0011i | 1.09282 | − | 0.933895i | ||||
\(556\) | 36.3139 | − | 20.9658i | 1.54005 | − | 0.889149i | ||||
\(557\) | −19.7617 | + | 5.29513i | −0.837329 | + | 0.224362i | −0.651909 | − | 0.758298i | \(-0.726031\pi\) |
−0.185421 | + | 0.982659i | \(0.559365\pi\) | |||||||
\(558\) | −10.4389 | + | 28.9602i | −0.441916 | + | 1.22598i | ||||
\(559\) | −12.2502 | −0.518130 | ||||||||
\(560\) | 16.0149 | + | 7.06406i | 0.676753 | + | 0.298511i | ||||
\(561\) | 0.455906 | + | 0.289450i | 0.0192484 | + | 0.0122206i | ||||
\(562\) | −38.6166 | + | 10.3473i | −1.62894 | + | 0.436474i | ||||
\(563\) | −15.0600 | − | 15.0600i | −0.634705 | − | 0.634705i | 0.314539 | − | 0.949245i | \(-0.398150\pi\) |
−0.949245 | + | 0.314539i | \(0.898150\pi\) | |||||||
\(564\) | 12.9525 | − | 20.4012i | 0.545399 | − | 0.859045i | ||||
\(565\) | −29.4958 | + | 15.6353i | −1.24090 | + | 0.657783i | ||||
\(566\) | 47.2552i | 1.98628i | ||||||||
\(567\) | −22.8460 | − | 6.71256i | −0.959444 | − | 0.281901i | ||||
\(568\) | 8.60627 | − | 8.60627i | 0.361111 | − | 0.361111i | ||||
\(569\) | 28.3030i | 1.18652i | 0.805009 | + | 0.593262i | \(0.202160\pi\) | ||||
−0.805009 | + | 0.593262i | \(0.797840\pi\) | |||||||
\(570\) | 31.9594 | − | 27.3118i | 1.33863 | − | 1.14396i | ||||
\(571\) | −40.0696 | −1.67686 | −0.838430 | − | 0.545010i | \(-0.816526\pi\) | ||||
−0.838430 | + | 0.545010i | \(0.816526\pi\) | |||||||
\(572\) | 0.295682 | + | 1.10350i | 0.0123631 | + | 0.0461397i | ||||
\(573\) | 0.324252 | + | 1.45194i | 0.0135458 | + | 0.0606555i | ||||
\(574\) | −2.38462 | − | 16.4049i | −0.0995320 | − | 0.684727i | ||||
\(575\) | −18.2004 | + | 3.49000i | −0.759008 | + | 0.145543i | ||||
\(576\) | −14.0182 | − | 29.8201i | −0.584091 | − | 1.24250i | ||||
\(577\) | 0.463305 | + | 1.72908i | 0.0192876 | + | 0.0719825i | 0.974899 | − | 0.222648i | \(-0.0714701\pi\) |
−0.955611 | + | 0.294631i | \(0.904803\pi\) | |||||||
\(578\) | −9.24435 | − | 2.47702i | −0.384514 | − | 0.103030i | ||||
\(579\) | −17.9664 | − | 11.4067i | −0.746658 | − | 0.474046i | ||||
\(580\) | −0.854420 | − | 3.72239i | −0.0354779 | − | 0.154564i | ||||
\(581\) | 0.542129 | + | 0.687179i | 0.0224913 | + | 0.0285090i | ||||
\(582\) | 36.3157 | + | 11.3884i | 1.50534 | + | 0.472063i | ||||
\(583\) | 0.876296 | − | 0.876296i | 0.0362925 | − | 0.0362925i | ||||
\(584\) | −0.497970 | + | 0.862510i | −0.0206062 | + | 0.0356909i | ||||
\(585\) | −28.5607 | − | 21.4398i | −1.18084 | − | 0.886427i | ||||
\(586\) | 17.2999 | − | 9.98809i | 0.714652 | − | 0.412604i | ||||
\(587\) | 1.76127 | + | 6.57314i | 0.0726953 | + | 0.271302i | 0.992701 | − | 0.120603i | \(-0.0384828\pi\) |
−0.920006 | + | 0.391905i | \(0.871816\pi\) | |||||||
\(588\) | 15.1090 | − | 25.2755i | 0.623085 | − | 1.04234i | ||||
\(589\) | 21.7805 | − | 12.5750i | 0.897452 | − | 0.518144i | ||||
\(590\) | −16.2850 | − | 0.589324i | −0.670441 | − | 0.0242621i | ||||
\(591\) | −5.28257 | + | 8.32044i | −0.217296 | + | 0.342257i | ||||
\(592\) | −6.69576 | + | 24.9889i | −0.275194 | + | 1.02704i | ||||
\(593\) | −6.36367 | + | 23.7495i | −0.261325 | + | 0.975277i | 0.703137 | + | 0.711054i | \(0.251782\pi\) |
−0.964462 | + | 0.264223i | \(0.914885\pi\) | |||||||
\(594\) | −0.890896 | + | 0.373891i | −0.0365539 | + | 0.0153409i | ||||
\(595\) | 3.19451 | − | 20.6307i | 0.130962 | − | 0.845776i | ||||
\(596\) | −3.43102 | + | 5.94269i | −0.140540 | + | 0.243422i | ||||
\(597\) | 39.5087 | + | 12.3897i | 1.61698 | + | 0.507075i | ||||
\(598\) | 29.3623 | + | 29.3623i | 1.20071 | + | 1.20071i | ||||
\(599\) | 23.0695i | 0.942593i | 0.881975 | + | 0.471296i | \(0.156214\pi\) | ||||
−0.881975 | + | 0.471296i | \(0.843786\pi\) | |||||||
\(600\) | 4.65417 | − | 6.27689i | 0.190006 | − | 0.256253i | ||||
\(601\) | −17.9685 | − | 10.3741i | −0.732951 | − | 0.423169i | 0.0865498 | − | 0.996248i | \(-0.472416\pi\) |
−0.819501 | + | 0.573078i | \(0.805749\pi\) | |||||||
\(602\) | 12.7239 | + | 1.50133i | 0.518586 | + | 0.0611897i | ||||
\(603\) | 16.8969 | + | 6.09063i | 0.688094 | + | 0.248030i | ||||
\(604\) | 12.4097 | − | 7.16472i | 0.504942 | − | 0.291528i | ||||
\(605\) | 5.49882 | + | 23.9563i | 0.223559 | + | 0.973962i | ||||
\(606\) | −1.76216 | + | 41.8507i | −0.0715830 | + | 1.70007i | ||||
\(607\) | −8.18655 | − | 30.5526i | −0.332282 | − | 1.24009i | −0.906786 | − | 0.421591i | \(-0.861472\pi\) |
0.574505 | − | 0.818501i | \(-0.305195\pi\) | |||||||
\(608\) | −10.7211 | + | 40.0116i | −0.434797 | + | 1.62268i | ||||
\(609\) | 3.20581 | − | 0.328999i | 0.129906 | − | 0.0133317i | ||||
\(610\) | −0.232265 | + | 6.41825i | −0.00940414 | + | 0.259867i | ||||
\(611\) | 15.2910 | + | 26.4848i | 0.618608 | + | 1.07146i | ||||
\(612\) | −19.6449 | + | 16.5882i | −0.794096 | + | 0.670538i | ||||
\(613\) | 6.04412 | + | 22.5570i | 0.244120 | + | 0.911067i | 0.973824 | + | 0.227304i | \(0.0729912\pi\) |
−0.729704 | + | 0.683763i | \(0.760342\pi\) | |||||||
\(614\) | −11.9789 | −0.483430 | ||||||||
\(615\) | 11.4958 | + | 0.901427i | 0.463555 | + | 0.0363491i | ||||
\(616\) | −0.0303414 | − | 0.208733i | −0.00122249 | − | 0.00841008i | ||||
\(617\) | −0.258887 | + | 0.966179i | −0.0104224 | + | 0.0388969i | −0.970941 | − | 0.239318i | \(-0.923076\pi\) |
0.960519 | + | 0.278215i | \(0.0897428\pi\) | |||||||
\(618\) | −14.2605 | + | 45.4744i | −0.573640 | + | 1.82925i | ||||
\(619\) | 6.24857 | + | 10.8228i | 0.251151 | + | 0.435007i | 0.963843 | − | 0.266471i | \(-0.0858575\pi\) |
−0.712692 | + | 0.701477i | \(0.752524\pi\) | |||||||
\(620\) | 19.3898 | − | 18.0354i | 0.778713 | − | 0.724321i | ||||
\(621\) | −11.6529 | + | 15.3336i | −0.467613 | + | 0.615316i | ||||
\(622\) | 8.30415 | − | 8.30415i | 0.332966 | − | 0.332966i | ||||
\(623\) | −18.0746 | + | 24.2230i | −0.724143 | + | 0.970472i | ||||
\(624\) | 27.2574 | + | 1.14770i | 1.09117 | + | 0.0459447i | ||||
\(625\) | −24.7388 | − | 3.60464i | −0.989551 | − | 0.144186i | ||||
\(626\) | − | 68.2712i | − | 2.72866i | ||||||
\(627\) | 0.753178 | + | 0.236191i | 0.0300790 | + | 0.00943257i | ||||
\(628\) | 20.2602 | + | 20.2602i | 0.808468 | + | 0.808468i | ||||
\(629\) | 30.8556 | 1.23029 | ||||||||
\(630\) | 27.0373 | + | 25.7690i | 1.07719 | + | 1.02666i | ||||
\(631\) | 26.4557 | 1.05318 | 0.526592 | − | 0.850118i | \(-0.323470\pi\) | ||||
0.526592 | + | 0.850118i | \(0.323470\pi\) | |||||||
\(632\) | −2.26736 | − | 2.26736i | −0.0901906 | − | 0.0901906i | ||||
\(633\) | −14.3213 | + | 13.1640i | −0.569222 | + | 0.523224i | ||||
\(634\) | 13.4936i | 0.535899i | ||||||||
\(635\) | −14.6827 | − | 0.531341i | −0.582665 | − | 0.0210856i | ||||
\(636\) | 27.3260 | + | 52.2945i | 1.08355 | + | 2.07361i | ||||
\(637\) | 19.4942 | + | 31.7604i | 0.772388 | + | 1.25839i | ||||
\(638\) | 0.0924615 | − | 0.0924615i | 0.00366058 | − | 0.00366058i | ||||
\(639\) | −36.6223 | + | 17.2159i | −1.44876 | + | 0.681049i | ||||
\(640\) | −0.570312 | + | 15.7596i | −0.0225436 | + | 0.622952i | ||||
\(641\) | −23.8544 | − | 41.3170i | −0.942192 | − | 1.63193i | −0.761277 | − | 0.648426i | \(-0.775427\pi\) |
−0.180915 | − | 0.983499i | \(-0.557906\pi\) | |||||||
\(642\) | −29.7303 | − | 32.3440i | −1.17336 | − | 1.27651i | ||||
\(643\) | 6.04998 | − | 22.5788i | 0.238588 | − | 0.890422i | −0.737911 | − | 0.674898i | \(-0.764188\pi\) |
0.976499 | − | 0.215524i | \(-0.0691458\pi\) | |||||||
\(644\) | −14.7516 | − | 18.6985i | −0.581294 | − | 0.736823i | ||||
\(645\) | −2.97250 | + | 8.40171i | −0.117042 | + | 0.330817i | ||||
\(646\) | 38.3035 | 1.50703 | ||||||||
\(647\) | −2.07649 | − | 7.74958i | −0.0816354 | − | 0.304667i | 0.913020 | − | 0.407914i | \(-0.133744\pi\) |
−0.994656 | + | 0.103246i | \(0.967077\pi\) | |||||||
\(648\) | −0.757974 | − | 8.08523i | −0.0297760 | − | 0.317618i | ||||
\(649\) | −0.152984 | − | 0.264977i | −0.00600516 | − | 0.0104012i | ||||
\(650\) | 24.4289 | + | 50.4102i | 0.958181 | + | 1.97725i | ||||
\(651\) | 13.0895 | + | 18.1094i | 0.513019 | + | 0.709763i | ||||
\(652\) | 6.31900 | − | 23.5828i | 0.247471 | − | 0.923575i | ||||
\(653\) | 4.48742 | + | 16.7473i | 0.175606 | + | 0.655372i | 0.996448 | + | 0.0842153i | \(0.0268384\pi\) |
−0.820841 | + | 0.571156i | \(0.806495\pi\) | |||||||
\(654\) | 43.2400 | − | 22.5947i | 1.69082 | − | 0.883522i | ||||
\(655\) | 41.7673 | − | 9.58706i | 1.63198 | − | 0.374597i | ||||
\(656\) | −7.62868 | + | 4.40442i | −0.297850 | + | 0.171964i | ||||
\(657\) | 2.53002 | − | 2.13636i | 0.0987054 | − | 0.0833472i | ||||
\(658\) | −12.6363 | − | 29.3828i | −0.492616 | − | 1.14546i | ||||
\(659\) | 27.0155 | + | 15.5974i | 1.05237 | + | 0.607588i | 0.923313 | − | 0.384049i | \(-0.125471\pi\) |
0.129060 | + | 0.991637i | \(0.458804\pi\) | |||||||
\(660\) | 0.828572 | + | 0.0649714i | 0.0322521 | + | 0.00252901i | ||||
\(661\) | 15.2408i | 0.592799i | 0.955064 | + | 0.296400i | \(0.0957860\pi\) | ||||
−0.955064 | + | 0.296400i | \(0.904214\pi\) | |||||||
\(662\) | 8.82535 | + | 8.82535i | 0.343007 | + | 0.343007i | ||||
\(663\) | −7.09193 | − | 31.7563i | −0.275428 | − | 1.23331i | ||||
\(664\) | −0.149252 | + | 0.258511i | −0.00579208 | + | 0.0100322i | ||||
\(665\) | −3.29453 | − | 30.3362i | −0.127756 | − | 1.17639i | ||||
\(666\) | −31.5232 | + | 45.3186i | −1.22150 | + | 1.75606i | ||||
\(667\) | 0.674607 | − | 2.51767i | 0.0261209 | − | 0.0974844i | ||||
\(668\) | −0.683095 | + | 2.54934i | −0.0264297 | + | 0.0986371i | ||||
\(669\) | −20.4241 | − | 39.0861i | −0.789641 | − | 1.51115i | ||||
\(670\) | −19.1880 | − | 20.6289i | −0.741298 | − | 0.796965i | ||||
\(671\) | −0.104433 | + | 0.0602944i | −0.00403159 | + | 0.00232764i | ||||
\(672\) | −36.3352 | − | 5.84629i | −1.40166 | − | 0.225526i | ||||
\(673\) | −10.3359 | − | 38.5740i | −0.398418 | − | 1.48692i | −0.815879 | − | 0.578223i | \(-0.803746\pi\) |
0.417461 | − | 0.908695i | \(-0.362920\pi\) | |||||||
\(674\) | 17.6044 | − | 10.1639i | 0.678098 | − | 0.391500i | ||||
\(675\) | −21.6345 | + | 14.3857i | −0.832711 | + | 0.553707i | ||||
\(676\) | 18.6306 | − | 32.2692i | 0.716563 | − | 1.24112i | ||||
\(677\) | −0.290204 | + | 0.290204i | −0.0111534 | + | 0.0111534i | −0.712662 | − | 0.701508i | \(-0.752510\pi\) |
0.701508 | + | 0.712662i | \(0.252510\pi\) | |||||||
\(678\) | 40.0647 | − | 36.8271i | 1.53868 | − | 1.41434i | ||||
\(679\) | 21.6887 | − | 17.1106i | 0.832335 | − | 0.656645i | ||||
\(680\) | 6.93922 | − | 1.59279i | 0.266107 | − | 0.0610809i | ||||
\(681\) | 0.458191 | − | 10.8819i | 0.0175579 | − | 0.416994i | ||||
\(682\) | 0.875753 | + | 0.234657i | 0.0335343 | + | 0.00898549i | ||||
\(683\) | −7.96776 | − | 29.7361i | −0.304878 | − | 1.13782i | −0.933050 | − | 0.359746i | \(-0.882863\pi\) |
0.628173 | − | 0.778074i | \(-0.283803\pi\) | |||||||
\(684\) | −21.4604 | + | 30.8520i | −0.820559 | + | 1.17966i | ||||
\(685\) | −14.9739 | − | 28.2480i | −0.572123 | − | 1.07930i | ||||
\(686\) | −16.3555 | − | 35.3774i | −0.624455 | − | 1.35072i | ||||
\(687\) | −5.66843 | − | 1.77758i | −0.216264 | − | 0.0678189i | ||||
\(688\) | −1.76207 | − | 6.57613i | −0.0671782 | − | 0.250713i | ||||
\(689\) | −74.6701 | −2.84471 | ||||||||
\(690\) | 27.2626 | − | 13.0132i | 1.03787 | − | 0.495403i | ||||
\(691\) | − | 20.2512i | − | 0.770393i | −0.922835 | − | 0.385197i | \(-0.874134\pi\) | ||
0.922835 | − | 0.385197i | \(-0.125866\pi\) | |||||||
\(692\) | −17.5790 | + | 17.5790i | −0.668252 | + | 0.668252i | ||||
\(693\) | −0.140434 | + | 0.687093i | −0.00533466 | + | 0.0261005i | ||||
\(694\) | 64.7988i | 2.45973i | ||||||||
\(695\) | 36.9038 | + | 11.3337i | 1.39984 | + | 0.429913i | ||||
\(696\) | 0.508993 | + | 0.974072i | 0.0192933 | + | 0.0369221i | ||||
\(697\) | 7.42906 | + | 7.42906i | 0.281396 | + | 0.281396i | ||||
\(698\) | −21.1755 | + | 5.67396i | −0.801505 | + | 0.214763i | ||||
\(699\) | −0.689865 | + | 16.3840i | −0.0260931 | + | 0.619700i | ||||
\(700\) | −10.5268 | − | 30.3560i | −0.397877 | − | 1.14735i | ||||
\(701\) | −33.6028 | −1.26916 | −0.634581 | − | 0.772856i | \(-0.718827\pi\) | ||||
−0.634581 | + | 0.772856i | \(0.718827\pi\) | |||||||
\(702\) | 53.8869 | + | 22.0273i | 2.03383 | + | 0.831366i | ||||
\(703\) | 43.5638 | − | 11.6729i | 1.64304 | − | 0.440251i | ||||
\(704\) | −0.840438 | + | 0.485227i | −0.0316752 | + | 0.0182877i | ||||
\(705\) | 21.8747 | − | 4.06071i | 0.823848 | − | 0.152935i | ||||
\(706\) | −58.7229 | + | 33.9037i | −2.21007 | + | 1.27598i | ||||
\(707\) | 24.3681 | + | 18.1829i | 0.916456 | + | 0.683837i | ||||
\(708\) | 14.2174 | − | 3.17509i | 0.534323 | − | 0.119327i | ||||
\(709\) | 5.52172i | 0.207372i | 0.994610 | + | 0.103686i | \(0.0330638\pi\) | ||||
−0.994610 | + | 0.103686i | \(0.966936\pi\) | |||||||
\(710\) | 63.4339 | + | 2.29556i | 2.38063 | + | 0.0861509i | ||||
\(711\) | 4.53559 | + | 9.64830i | 0.170098 | + | 0.361839i | ||||
\(712\) | −9.95601 | − | 2.66770i | −0.373117 | − | 0.0999765i | ||||
\(713\) | 17.4566 | − | 4.67749i | 0.653756 | − | 0.175173i | ||||
\(714\) | 3.47422 | + | 33.8532i | 0.130019 | + | 1.26693i | ||||
\(715\) | −0.558494 | + | 0.891264i | −0.0208865 | + | 0.0333314i | ||||
\(716\) | 6.64194 | − | 11.5042i | 0.248221 | − | 0.429931i | ||||
\(717\) | 1.86956 | + | 2.03392i | 0.0698199 | + | 0.0759580i | ||||
\(718\) | 16.0433 | + | 4.29880i | 0.598732 | + | 0.160430i | ||||
\(719\) | 12.7748 | + | 22.1267i | 0.476421 | + | 0.825186i | 0.999635 | − | 0.0270154i | \(-0.00860032\pi\) |
−0.523214 | + | 0.852202i | \(0.675267\pi\) | |||||||
\(720\) | 7.40108 | − | 18.4157i | 0.275822 | − | 0.686313i | ||||
\(721\) | 21.4258 | + | 27.1585i | 0.797940 | + | 1.01143i | ||||
\(722\) | 15.4570 | − | 4.14169i | 0.575250 | − | 0.154138i | ||||
\(723\) | 26.1926 | + | 28.4953i | 0.974112 | + | 1.05975i | ||||
\(724\) | −43.3351 | −1.61054 | ||||||||
\(725\) | 1.97360 | − | 2.91007i | 0.0732978 | − | 0.108077i | ||||
\(726\) | −18.5560 | − | 35.5110i | −0.688677 | − | 1.31794i | ||||
\(727\) | −5.90847 | − | 22.0507i | −0.219133 | − | 0.817816i | −0.984671 | − | 0.174425i | \(-0.944193\pi\) |
0.765537 | − | 0.643391i | \(-0.222473\pi\) | |||||||
\(728\) | −7.60046 | + | 10.1859i | −0.281692 | + | 0.377514i | ||||
\(729\) | −6.74494 | + | 26.1439i | −0.249813 | + | 0.968294i | ||||
\(730\) | −5.06244 | + | 1.16201i | −0.187369 | + | 0.0430078i | ||||
\(731\) | −7.03213 | + | 4.06000i | −0.260093 | + | 0.150165i | ||||
\(732\) | −1.25137 | − | 5.60339i | −0.0462519 | − | 0.207107i | ||||
\(733\) | 37.2445 | − | 9.97964i | 1.37566 | − | 0.368607i | 0.506116 | − | 0.862465i | \(-0.331081\pi\) |
0.869542 | + | 0.493859i | \(0.164414\pi\) | |||||||
\(734\) | 9.49278 | + | 16.4420i | 0.350385 | + | 0.606884i | ||||
\(735\) | 26.5128 | − | 5.66332i | 0.977938 | − | 0.208895i | ||||
\(736\) | −14.8830 | + | 25.7781i | −0.548594 | + | 0.950193i | ||||
\(737\) | 0.136911 | − | 0.510960i | 0.00504320 | − | 0.0188215i | ||||
\(738\) | −18.5011 | + | 3.32149i | −0.681035 | + | 0.122266i | ||||
\(739\) | −15.5491 | − | 8.97729i | −0.571984 | − | 0.330235i | 0.185958 | − | 0.982558i | \(-0.440461\pi\) |
−0.757941 | + | 0.652323i | \(0.773795\pi\) | |||||||
\(740\) | 41.9570 | − | 22.2409i | 1.54237 | − | 0.817590i | ||||
\(741\) | −22.0265 | − | 42.1526i | −0.809163 | − | 1.54851i | ||||
\(742\) | 77.5571 | + | 9.15122i | 2.84721 | + | 0.335952i | ||||
\(743\) | −31.1560 | − | 8.34823i | −1.14300 | − | 0.306267i | −0.362845 | − | 0.931849i | \(-0.618195\pi\) |
−0.780158 | + | 0.625583i | \(0.784861\pi\) | |||||||
\(744\) | −4.08444 | + | 6.43330i | −0.149743 | + | 0.235856i | ||||
\(745\) | −6.15750 | + | 1.41336i | −0.225593 | + | 0.0517816i | ||||
\(746\) | −3.49451 | + | 6.05267i | −0.127943 | + | 0.221604i | ||||
\(747\) | 0.758297 | − | 0.640308i | 0.0277446 | − | 0.0234277i | ||||
\(748\) | 0.535458 | + | 0.535458i | 0.0195783 | + | 0.0195783i | ||||
\(749\) | −31.5564 | + | 4.58705i | −1.15305 | + | 0.167607i | ||||
\(750\) | 40.5010 | − | 4.52240i | 1.47889 | − | 0.165135i | ||||
\(751\) | 14.0791 | − | 24.3856i | 0.513752 | − | 0.889845i | −0.486121 | − | 0.873892i | \(-0.661588\pi\) |
0.999873 | − | 0.0159529i | \(-0.00507819\pi\) | |||||||
\(752\) | −12.0180 | + | 12.0180i | −0.438252 | + | 0.438252i | ||||
\(753\) | 34.2481 | − | 7.64840i | 1.24807 | − | 0.278723i | ||||
\(754\) | −7.87874 | −0.286927 | ||||||||
\(755\) | 12.6113 | + | 3.87311i | 0.458971 | + | 0.140957i | ||||
\(756\) | −29.2140 | − | 16.1687i | −1.06250 | − | 0.588049i | ||||
\(757\) | −8.49483 | − | 8.49483i | −0.308750 | − | 0.308750i | 0.535675 | − | 0.844424i | \(-0.320057\pi\) |
−0.844424 | + | 0.535675i | \(0.820057\pi\) | |||||||
\(758\) | 13.5464 | − | 13.5464i | 0.492026 | − | 0.492026i | ||||
\(759\) | 0.478853 | + | 0.304019i | 0.0173813 | + | 0.0110352i | ||||
\(760\) | 9.19465 | − | 4.87396i | 0.333525 | − | 0.176797i | ||||
\(761\) | −22.0829 | − | 12.7496i | −0.800505 | − | 0.462172i | 0.0431425 | − | 0.999069i | \(-0.486263\pi\) |
−0.843648 | + | 0.536897i | \(0.819596\pi\) | |||||||
\(762\) | 23.3743 | − | 5.22002i | 0.846760 | − | 0.189101i | ||||
\(763\) | 4.14965 | − | 35.1685i | 0.150227 | − | 1.27318i | ||||
\(764\) | 2.08612i | 0.0754732i | ||||||||
\(765\) | −23.5006 | − | 2.84167i | −0.849666 | − | 0.102741i | ||||
\(766\) | −37.1589 | − | 21.4537i | −1.34261 | − | 0.775154i | ||||
\(767\) | −4.77149 | + | 17.8074i | −0.172289 | + | 0.642990i | ||||
\(768\) | 2.68989 | + | 12.0448i | 0.0970631 | + | 0.434630i | ||||
\(769\) | −17.8420 | − | 30.9033i | −0.643401 | − | 1.11440i | −0.984668 | − | 0.174436i | \(-0.944190\pi\) |
0.341268 | − | 0.939966i | \(-0.389144\pi\) | |||||||
\(770\) | 0.689316 | − | 0.857276i | 0.0248412 | − | 0.0308941i | ||||
\(771\) | 12.3482 | − | 6.45246i | 0.444711 | − | 0.232380i | ||||
\(772\) | −21.1014 | − | 21.1014i | −0.759455 | − | 0.759455i | ||||
\(773\) | −20.9993 | + | 5.62676i | −0.755294 | + | 0.202380i | −0.615865 | − | 0.787852i | \(-0.711193\pi\) |
−0.139429 | + | 0.990232i | \(0.544527\pi\) | |||||||
\(774\) | 1.22123 | − | 14.4762i | 0.0438963 | − | 0.520335i | ||||
\(775\) | 24.3163 | + | 1.76224i | 0.873467 | + | 0.0633014i | ||||
\(776\) | 8.15911 | + | 4.71066i | 0.292895 | + | 0.169103i | ||||
\(777\) | 14.2680 | + | 37.4436i | 0.511862 | + | 1.34328i | ||||
\(778\) | −24.5621 | − | 6.58140i | −0.880595 | − | 0.235955i | ||||
\(779\) | 13.2993 | + | 7.67834i | 0.476496 | + | 0.275105i | ||||
\(780\) | −32.5336 | − | 38.0699i | −1.16489 | − | 1.36312i | ||||
\(781\) | 0.595911 | + | 1.03215i | 0.0213234 | + | 0.0369332i | ||||
\(782\) | 26.5865 | + | 7.12383i | 0.950731 | + | 0.254748i | ||||
\(783\) | −0.493824 | − | 3.62061i | −0.0176478 | − | 0.129390i | ||||
\(784\) | −14.2454 | + | 15.0332i | −0.508766 | + | 0.536900i | ||||
\(785\) | −0.953987 | + | 26.3618i | −0.0340492 | + | 0.940892i | ||||
\(786\) | −61.9126 | + | 32.3519i | −2.20835 | + | 1.15395i | ||||
\(787\) | −12.7179 | + | 12.7179i | −0.453346 | + | 0.453346i | −0.896463 | − | 0.443118i | \(-0.853872\pi\) |
0.443118 | + | 0.896463i | \(0.353872\pi\) | |||||||
\(788\) | −9.77230 | + | 9.77230i | −0.348124 | + | 0.348124i | ||||
\(789\) | −1.52508 | + | 36.2200i | −0.0542942 | + | 1.28947i | ||||
\(790\) | 0.604775 | − | 16.7119i | 0.0215169 | − | 0.594584i | ||||
\(791\) | −5.68201 | − | 39.0892i | −0.202029 | − | 1.38985i | ||||
\(792\) | −0.235405 | + | 0.0422620i | −0.00836474 | + | 0.00150172i | ||||
\(793\) | 7.01830 | + | 1.88055i | 0.249227 | + | 0.0667802i | ||||
\(794\) | 28.9610 | + | 50.1619i | 1.02779 | + | 1.78018i | ||||
\(795\) | −18.1186 | + | 51.2118i | −0.642599 | + | 1.81630i | ||||
\(796\) | 50.2823 | + | 29.0305i | 1.78221 | + | 1.02896i | ||||
\(797\) | 39.3012 | + | 10.5307i | 1.39212 | + | 0.373017i | 0.875509 | − | 0.483203i | \(-0.160527\pi\) |
0.516611 | + | 0.856220i | \(0.327193\pi\) | |||||||
\(798\) | 17.7120 | + | 46.4818i | 0.627000 | + | 1.64544i | ||||
\(799\) | 17.5553 | + | 10.1356i | 0.621062 | + | 0.358571i | ||||
\(800\) | −30.3719 | + | 26.2672i | −1.07381 | + | 0.928685i | ||||
\(801\) | 28.1331 | + | 19.5692i | 0.994035 | + | 0.691442i | ||||
\(802\) | 12.6264 | − | 3.38324i | 0.445854 | − | 0.119466i | ||||
\(803\) | −0.0689605 | − | 0.0689605i | −0.00243356 | − | 0.00243356i | ||||
\(804\) | 21.2625 | + | 13.4993i | 0.749869 | + | 0.476085i | ||||
\(805\) | 3.35530 | − | 21.6691i | 0.118259 | − | 0.763735i | ||||
\(806\) | −27.3142 | − | 47.3096i | −0.962102 | − | 1.66641i | ||||
\(807\) | −12.2165 | − | 3.83100i | −0.430040 | − | 0.134858i | ||||
\(808\) | −2.68369 | + | 10.0157i | −0.0944118 | + | 0.352350i | ||||
\(809\) | −24.7124 | − | 14.2677i | −0.868840 | − | 0.501625i | −0.00187764 | − | 0.999998i | \(-0.500598\pi\) |
−0.866963 | + | 0.498373i | \(0.833931\pi\) | |||||||
\(810\) | 28.1828 | − | 31.6129i | 0.990241 | − | 1.11077i | ||||
\(811\) | − | 48.5126i | − | 1.70351i | −0.523941 | − | 0.851755i | \(-0.675539\pi\) | ||
0.523941 | − | 0.851755i | \(-0.324461\pi\) | |||||||
\(812\) | 4.48780 | + | 0.529530i | 0.157491 | + | 0.0185829i | ||||
\(813\) | 0.913710 | + | 0.994038i | 0.0320452 | + | 0.0348624i | ||||
\(814\) | 1.40803 | + | 0.812927i | 0.0493515 | + | 0.0284931i | ||||
\(815\) | 19.8600 | − | 10.5275i | 0.695667 | − | 0.368764i | ||||
\(816\) | 16.0272 | − | 8.37488i | 0.561064 | − | 0.293179i | ||||
\(817\) | −8.39247 | + | 8.39247i | −0.293615 | + | 0.293615i | ||||
\(818\) | 4.12317 | + | 4.12317i | 0.144163 | + | 0.144163i | ||||
\(819\) | 35.2572 | − | 23.2907i | 1.23199 | − | 0.813842i | ||||
\(820\) | 15.4568 | + | 4.74703i | 0.539776 | + | 0.165774i | ||||
\(821\) | 5.09172 | 0.177702 | 0.0888512 | − | 0.996045i | \(-0.471680\pi\) | ||||
0.0888512 | + | 0.996045i | \(0.471680\pi\) | |||||||
\(822\) | 35.2692 | + | 38.3698i | 1.23015 | + | 1.33830i | ||||
\(823\) | −20.6134 | + | 20.6134i | −0.718537 | + | 0.718537i | −0.968306 | − | 0.249769i | \(-0.919645\pi\) |
0.249769 | + | 0.968306i | \(0.419645\pi\) | |||||||
\(824\) | −5.89867 | + | 10.2168i | −0.205490 | + | 0.355919i | ||||
\(825\) | 0.475748 | + | 0.599301i | 0.0165634 | + | 0.0208650i | ||||
\(826\) | 7.13837 | − | 17.9112i | 0.248376 | − | 0.623209i | ||||
\(827\) | −19.3594 | − | 19.3594i | −0.673191 | − | 0.673191i | 0.285259 | − | 0.958450i | \(-0.407920\pi\) |
−0.958450 | + | 0.285259i | \(0.907920\pi\) | |||||||
\(828\) | −20.6336 | + | 17.4231i | −0.717068 | + | 0.605495i | ||||
\(829\) | 15.8644 | − | 27.4780i | 0.550994 | − | 0.954350i | −0.447209 | − | 0.894430i | \(-0.647582\pi\) |
0.998203 | − | 0.0599208i | \(-0.0190848\pi\) | |||||||
\(830\) | −1.51731 | + | 0.348277i | −0.0526667 | + | 0.0120889i | ||||
\(831\) | −16.5043 | − | 0.694931i | −0.572529 | − | 0.0241069i | ||||
\(832\) | 56.4807 | + | 15.1340i | 1.95812 | + | 0.524675i | ||||
\(833\) | 21.7165 | + | 11.7709i | 0.752434 | + | 0.407838i | ||||
\(834\) | −62.8746 | − | 2.64740i | −2.17717 | − | 0.0916719i | ||||
\(835\) | −2.14690 | + | 1.13805i | −0.0742967 | + | 0.0393837i | ||||
\(836\) | 0.958561 | + | 0.553425i | 0.0331525 | + | 0.0191406i | ||||
\(837\) | 20.0288 | − | 15.5173i | 0.692296 | − | 0.536357i | ||||
\(838\) | 6.73589 | − | 25.1387i | 0.232687 | − | 0.868401i | ||||
\(839\) | −6.71273 | + | 11.6268i | −0.231749 | + | 0.401401i | −0.958323 | − | 0.285687i | \(-0.907778\pi\) |
0.726574 | + | 0.687088i | \(0.241112\pi\) | |||||||
\(840\) | 5.14166 | + | 7.68429i | 0.177404 | + | 0.265133i | ||||
\(841\) | −14.2527 | − | 24.6864i | −0.491473 | − | 0.851257i | ||||
\(842\) | −22.9670 | + | 6.15400i | −0.791496 | + | 0.212081i | ||||
\(843\) | 31.3966 | + | 9.84575i | 1.08135 | + | 0.339106i | ||||
\(844\) | −23.6225 | + | 13.6384i | −0.813119 | + | 0.469454i | ||||
\(845\) | 33.4356 | − | 7.67465i | 1.15022 | − | 0.264016i | ||||
\(846\) | −32.8216 | + | 15.4292i | −1.12843 | + | 0.530466i | ||||
\(847\) | −28.8822 | − | 3.40791i | −0.992406 | − | 0.117097i | ||||
\(848\) | −10.7405 | − | 40.0841i | −0.368831 | − | 1.37650i | ||||
\(849\) | 20.8461 | − | 32.8342i | 0.715438 | − | 1.12687i | ||||
\(850\) | 30.7303 | + | 20.8412i | 1.05404 | + | 0.714848i | ||||
\(851\) | 32.4086 | 1.11095 | ||||||||
\(852\) | −55.3803 | + | 12.3677i | −1.89730 | + | 0.423712i | ||||
\(853\) | −40.5841 | + | 10.8745i | −1.38957 | + | 0.372335i | −0.874590 | − | 0.484864i | \(-0.838869\pi\) |
−0.514985 | + | 0.857199i | \(0.672202\pi\) | |||||||
\(854\) | −7.05917 | − | 2.81338i | −0.241560 | − | 0.0962720i | ||||
\(855\) | −34.2546 | + | 4.87841i | −1.17148 | + | 0.166838i | ||||
\(856\) | −5.43750 | − | 9.41803i | −0.185850 | − | 0.321902i | ||||
\(857\) | 20.7470 | + | 5.55913i | 0.708703 | + | 0.189896i | 0.595125 | − | 0.803633i | \(-0.297102\pi\) |
0.113577 | + | 0.993529i | \(0.463769\pi\) | |||||||
\(858\) | 0.513032 | − | 1.63598i | 0.0175146 | − | 0.0558514i | ||||
\(859\) | −1.77757 | + | 3.07884i | −0.0606499 | + | 0.105049i | −0.894756 | − | 0.446555i | \(-0.852651\pi\) |
0.834106 | + | 0.551604i | \(0.185984\pi\) | |||||||
\(860\) | −6.63573 | + | 10.5895i | −0.226276 | + | 0.361100i | ||||
\(861\) | −5.57996 | + | 12.4505i | −0.190164 | + | 0.424313i | ||||
\(862\) | −64.6953 | + | 17.3351i | −2.20353 | + | 0.590435i | ||||
\(863\) | 48.7342 | + | 13.0583i | 1.65893 | + | 0.444509i | 0.962094 | − | 0.272719i | \(-0.0879230\pi\) |
0.696838 | + | 0.717229i | \(0.254590\pi\) | |||||||
\(864\) | −5.25418 | + | 41.3981i | −0.178751 | + | 1.40839i | ||||
\(865\) | −22.8731 | − | 0.827738i | −0.777709 | − | 0.0281439i | ||||
\(866\) | 19.6768i | 0.668646i | ||||||||
\(867\) | 5.33053 | + | 5.79915i | 0.181034 | + | 0.196950i | ||||
\(868\) | 12.3787 | + | 28.7838i | 0.420162 | + | 0.976984i | ||||
\(869\) | 0.271924 | − | 0.156995i | 0.00922439 | − | 0.00532570i | ||||
\(870\) | −1.91176 | + | 5.40356i | −0.0648147 | + | 0.183198i | ||||
\(871\) | −27.6029 | + | 15.9366i | −0.935289 | + | 0.539989i | ||||
\(872\) | 11.6654 | − | 3.12574i | 0.395041 | − | 0.105851i | ||||
\(873\) | −20.2094 | − | 23.9333i | −0.683983 | − | 0.810019i | ||||
\(874\) | 40.2314 | 1.36085 | ||||||||
\(875\) | 13.8630 | − | 26.1308i | 0.468655 | − | 0.883382i | ||||
\(876\) | 4.11533 | − | 2.15043i | 0.139044 | − | 0.0726564i | ||||
\(877\) | −41.7033 | + | 11.1744i | −1.40822 | + | 0.377331i | −0.881289 | − | 0.472577i | \(-0.843324\pi\) |
−0.526931 | + | 0.849908i | \(0.676657\pi\) | |||||||
\(878\) | 13.9685 | + | 13.9685i | 0.471415 | + | 0.471415i | ||||
\(879\) | −16.4266 | − | 0.691658i | −0.554055 | − | 0.0233291i | ||||
\(880\) | −0.558779 | − | 0.171610i | −0.0188364 | − | 0.00578496i | ||||
\(881\) | 44.2073i | 1.48938i | 0.667409 | + | 0.744691i | \(0.267403\pi\) | ||||
−0.667409 | + | 0.744691i | \(0.732597\pi\) | |||||||
\(882\) | −39.4748 | + | 19.8702i | −1.32918 | + | 0.669064i | ||||
\(883\) | −15.1931 | + | 15.1931i | −0.511288 | + | 0.511288i | −0.914921 | − | 0.403633i | \(-0.867747\pi\) |
0.403633 | + | 0.914921i | \(0.367747\pi\) | |||||||
\(884\) | − | 45.6270i | − | 1.53460i | ||||||
\(885\) | 11.0553 | + | 7.59342i | 0.371619 | + | 0.255250i | ||||
\(886\) | −53.3038 | −1.79078 | ||||||||
\(887\) | 8.18050 | + | 30.5301i | 0.274674 | + | 1.02510i | 0.956059 | + | 0.293174i | \(0.0947114\pi\) |
−0.681385 | + | 0.731925i | \(0.738622\pi\) | |||||||
\(888\) | −10.0608 | + | 9.24778i | −0.337618 | + | 0.310335i | ||||
\(889\) | 6.43603 | − | 16.1489i | 0.215857 | − | 0.541616i | ||||
\(890\) | −25.1762 | − | 47.4946i | −0.843910 | − | 1.59202i | ||||
\(891\) | 0.783958 | + | 0.133220i | 0.0262636 | + | 0.00446304i | ||||
\(892\) | −16.0053 | − | 59.7326i | −0.535897 | − | 2.00000i | ||||
\(893\) | 28.6200 | + | 7.66872i | 0.957733 | + | 0.256624i | ||||
\(894\) | 9.12741 | − | 4.76945i | 0.305266 | − | 0.159514i | ||||
\(895\) | 11.9200 | − | 2.73606i | 0.398442 | − | 0.0914565i | ||||
\(896\) | −17.3333 | − | 6.90808i | −0.579066 | − | 0.230783i | ||||
\(897\) | −7.44889 | − | 33.3547i | −0.248711 | − | 1.11368i | ||||
\(898\) | −11.7270 | + | 11.7270i | −0.391335 | + | 0.391335i | ||||
\(899\) | −1.71450 | + | 2.96960i | −0.0571818 | + | 0.0990418i | ||||
\(900\) | −34.0041 | + | 13.0753i | −1.13347 | + | 0.435843i | ||||
\(901\) | −42.8637 | + | 24.7474i | −1.42800 | + | 0.824454i | ||||
\(902\) | 0.143282 | + | 0.534737i | 0.00477078 | + | 0.0178048i | ||||
\(903\) | −8.17861 | − | 6.65618i | −0.272167 | − | 0.221504i | ||||
\(904\) | 11.6662 | − | 6.73548i | 0.388012 | − | 0.224019i | ||||
\(905\) | −27.1728 | − | 29.2133i | −0.903254 | − | 0.971083i | ||||
\(906\) | −21.4863 | − | 0.904703i | −0.713836 | − | 0.0300568i | ||||
\(907\) | 4.06743 | − | 15.1798i | 0.135057 | − | 0.504039i | −0.864941 | − | 0.501874i | \(-0.832644\pi\) |
0.999998 | − | 0.00216486i | \(-0.000689097\pi\) | |||||||
\(908\) | 3.95282 | − | 14.7521i | 0.131179 | − | 0.489566i | ||||
\(909\) | 19.6864 | − | 28.3017i | 0.652957 | − | 0.938708i | ||||
\(910\) | −65.8934 | + | 7.15606i | −2.18434 | + | 0.237221i | ||||
\(911\) | −12.1778 | + | 21.0926i | −0.403468 | + | 0.698828i | −0.994142 | − | 0.108083i | \(-0.965529\pi\) |
0.590673 | + | 0.806911i | \(0.298862\pi\) | |||||||
\(912\) | 19.4599 | − | 17.8874i | 0.644382 | − | 0.592310i | ||||
\(913\) | −0.0206688 | − | 0.0206688i | −0.000684038 | − | 0.000684038i | ||||
\(914\) | − | 86.4241i | − | 2.85865i | ||||||
\(915\) | 2.99273 | − | 4.35712i | 0.0989366 | − | 0.144042i | ||||
\(916\) | −7.21415 | − | 4.16509i | −0.238362 | − | 0.137618i | ||||
\(917\) | −5.94162 | + | 50.3555i | −0.196209 | + | 1.66289i | ||||
\(918\) | 38.2336 | − | 5.21477i | 1.26190 | − | 0.172113i | ||||
\(919\) | 1.01486 | − | 0.585929i | 0.0334771 | − | 0.0193280i | −0.483168 | − | 0.875528i | \(-0.660514\pi\) |
0.516645 | + | 0.856200i | \(0.327181\pi\) | |||||||
\(920\) | 7.28848 | − | 1.67296i | 0.240294 | − | 0.0551560i | ||||
\(921\) | 8.32330 | + | 5.28438i | 0.274262 | + | 0.174126i | ||||
\(922\) | −9.07834 | − | 33.8808i | −0.298979 | − | 1.11581i | ||||
\(923\) | 18.5861 | − | 69.3644i | 0.611770 | − | 2.28316i | ||||
\(924\) | −0.402182 | + | 0.897387i | −0.0132308 | + | 0.0295219i | ||||
\(925\) | 41.3018 | + | 14.3384i | 1.35799 | + | 0.471444i | ||||
\(926\) | 4.96130 | + | 8.59322i | 0.163038 | + | 0.282391i | ||||
\(927\) | 29.9692 | − | 25.3061i | 0.984316 | − | 0.831160i | ||||
\(928\) | −1.46173 | − | 5.45526i | −0.0479837 | − | 0.179078i | ||||
\(929\) | 1.34923 | 0.0442668 | 0.0221334 | − | 0.999755i | \(-0.492954\pi\) | ||||
0.0221334 | + | 0.999755i | \(0.492954\pi\) | |||||||
\(930\) | −39.0746 | + | 7.25362i | −1.28131 | + | 0.237855i | ||||
\(931\) | 35.1138 | + | 8.40338i | 1.15081 | + | 0.275410i | ||||
\(932\) | −5.95147 | + | 22.2112i | −0.194947 | + | 0.727551i | ||||
\(933\) | −9.43325 | + | 2.10667i | −0.308831 | + | 0.0689692i | ||||
\(934\) | −17.8994 | − | 31.0027i | −0.585687 | − | 1.01444i | ||||
\(935\) | −0.0252130 | + | 0.696719i | −0.000824554 | + | 0.0227851i | ||||
\(936\) | 11.8301 | + | 8.22894i | 0.386680 | + | 0.268971i | ||||
\(937\) | −25.3539 | + | 25.3539i | −0.828277 | + | 0.828277i | −0.987278 | − | 0.159001i | \(-0.949173\pi\) |
0.159001 | + | 0.987278i | \(0.449173\pi\) | |||||||
\(938\) | 30.6232 | − | 13.1698i | 0.999884 | − | 0.430010i | ||||
\(939\) | −30.1171 | + | 47.4367i | −0.982836 | + | 1.54804i | ||||
\(940\) | 31.1772 | + | 1.12825i | 1.01689 | + | 0.0367994i | ||||
\(941\) | − | 29.5355i | − | 0.962829i | −0.876493 | − | 0.481414i | \(-0.840123\pi\) | ||
0.876493 | − | 0.481414i | \(-0.159877\pi\) | |||||||
\(942\) | −9.37220 | − | 41.9669i | −0.305363 | − | 1.36736i | ||||
\(943\) | 7.80298 | + | 7.80298i | 0.254100 | + | 0.254100i | ||||
\(944\) | −10.2457 | −0.333468 | ||||||||
\(945\) | −7.41858 | − | 29.8323i | −0.241327 | − | 0.970444i | ||||
\(946\) | −0.427863 | −0.0139110 | ||||||||
\(947\) | −15.2295 | − | 15.2295i | −0.494893 | − | 0.494893i | 0.414951 | − | 0.909844i | \(-0.363799\pi\) |
−0.909844 | + | 0.414951i | \(0.863799\pi\) | |||||||
\(948\) | 3.25833 | + | 14.5902i | 0.105826 | + | 0.473867i | ||||
\(949\) | 5.87620i | 0.190749i | ||||||||
\(950\) | 51.2713 | + | 17.7994i | 1.66346 | + | 0.577490i | ||||
\(951\) | 5.95256 | − | 9.37574i | 0.193025 | − | 0.304029i | ||||
\(952\) | −0.987141 | + | 8.36607i | −0.0319934 | + | 0.271146i | ||||
\(953\) | −7.79646 | + | 7.79646i | −0.252552 | + | 0.252552i | −0.822016 | − | 0.569464i | \(-0.807151\pi\) |
0.569464 | + | 0.822016i | \(0.307151\pi\) | |||||||
\(954\) | 7.44390 | − | 88.2381i | 0.241005 | − | 2.85681i | ||||
\(955\) | −1.40631 | + | 1.30808i | −0.0455070 | + | 0.0423284i | ||||
\(956\) | 1.93693 | + | 3.35486i | 0.0626448 | + | 0.108504i | ||||
\(957\) | −0.105033 | + | 0.0234564i | −0.00339524 | + | 0.000758238i | ||||
\(958\) | 2.58275 | − | 9.63897i | 0.0834450 | − | 0.311421i | ||||
\(959\) | 37.4356 | − | 5.44164i | 1.20886 | − | 0.175720i | ||||
\(960\) | 24.0844 | − | 35.0645i | 0.777321 | − | 1.13170i | ||||
\(961\) | 7.22449 | 0.233048 | ||||||||
\(962\) | −25.3547 | − | 94.6252i | −0.817469 | − | 3.05084i | ||||
\(963\) | 6.38922 | + | 35.5887i | 0.205890 | + | 1.14683i | ||||
\(964\) | 27.1365 | + | 47.0018i | 0.874007 | + | 1.51382i | ||||
\(965\) | 0.993598 | − | 27.4564i | 0.0319850 | − | 0.883852i | ||||
\(966\) | 3.64909 | + | 35.5572i | 0.117407 | + | 1.14403i | ||||
\(967\) | 9.76493 | − | 36.4432i | 0.314019 | − | 1.17193i | −0.610880 | − | 0.791723i | \(-0.709184\pi\) |
0.924899 | − | 0.380212i | \(-0.124149\pi\) | |||||||
\(968\) | −2.56703 | − | 9.58028i | −0.0825074 | − | 0.307922i | ||||
\(969\) | −26.6144 | − | 16.8972i | −0.854978 | − | 0.542817i | ||||
\(970\) | 10.9923 | + | 47.8893i | 0.352941 | + | 1.53763i | ||||
\(971\) | 2.41770 | − | 1.39586i | 0.0775877 | − | 0.0447953i | −0.460704 | − | 0.887554i | \(-0.652403\pi\) |
0.538292 | + | 0.842758i | \(0.319070\pi\) | |||||||
\(972\) | −17.2209 | + | 33.7174i | −0.552361 | + | 1.08149i | ||||
\(973\) | −27.3171 | + | 36.6095i | −0.875747 | + | 1.17365i | ||||
\(974\) | −38.6871 | − | 22.3360i | −1.23962 | − | 0.715692i | ||||
\(975\) | 5.26406 | − | 45.8030i | 0.168585 | − | 1.46687i | ||||
\(976\) | 4.03803i | 0.129254i | ||||||||
\(977\) | −11.2827 | − | 11.2827i | −0.360964 | − | 0.360964i | 0.503204 | − | 0.864168i | \(-0.332155\pi\) |
−0.864168 | + | 0.503204i | \(0.832155\pi\) | |||||||
\(978\) | −26.9763 | + | 24.7963i | −0.862606 | + | 0.792900i | ||||
\(979\) | 0.504654 | − | 0.874086i | 0.0161288 | − | 0.0279359i | ||||
\(980\) | 38.0144 | + | 0.352542i | 1.21433 | + | 0.0112615i | ||||
\(981\) | −40.0118 | − | 3.37546i | −1.27748 | − | 0.107770i | ||||
\(982\) | 10.3548 | − | 38.6447i | 0.330436 | − | 1.23320i | ||||
\(983\) | 0.184097 | − | 0.687058i | 0.00587177 | − | 0.0219137i | −0.962928 | − | 0.269759i | \(-0.913056\pi\) |
0.968800 | + | 0.247846i | \(0.0797225\pi\) | |||||||
\(984\) | −4.64890 | − | 0.195747i | −0.148201 | − | 0.00624017i | ||||
\(985\) | −12.7154 | − | 0.460147i | −0.405145 | − | 0.0146615i | ||||
\(986\) | −4.52271 | + | 2.61119i | −0.144033 | + | 0.0831572i | ||||
\(987\) | −4.18182 | + | 25.9904i | −0.133109 | + | 0.827283i | ||||
\(988\) | −17.2610 | − | 64.4190i | −0.549146 | − | 2.04944i | ||||
\(989\) | −7.38608 | + | 4.26435i | −0.234864 | + | 0.135599i | ||||
\(990\) | −0.997535 | − | 0.748825i | −0.0317037 | − | 0.0237992i | ||||
\(991\) | −22.9124 | + | 39.6855i | −0.727837 | + | 1.26065i | 0.229959 | + | 0.973200i | \(0.426141\pi\) |
−0.957796 | + | 0.287450i | \(0.907192\pi\) | |||||||
\(992\) | 27.6897 | − | 27.6897i | 0.879149 | − | 0.879149i | ||||
\(993\) | −2.23889 | − | 10.0253i | −0.0710490 | − | 0.318144i | ||||
\(994\) | −27.8057 | + | 69.7684i | −0.881943 | + | 2.21292i | ||||
\(995\) | 11.9587 | + | 52.0998i | 0.379118 | + | 1.65168i | ||||
\(996\) | 1.23345 | − | 0.644527i | 0.0390833 | − | 0.0204226i | ||||
\(997\) | 7.28356 | + | 1.95162i | 0.230673 | + | 0.0618086i | 0.372304 | − | 0.928111i | \(-0.378568\pi\) |
−0.141631 | + | 0.989920i | \(0.545235\pi\) | |||||||
\(998\) | −23.1903 | − | 86.5474i | −0.734076 | − | 2.73961i | ||||
\(999\) | 41.8951 | − | 17.5825i | 1.32550 | − | 0.556286i |
(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 | 315.2.bs.e.52.7 | ✓ | 160 | |
3.2 | odd | 2 | 945.2.bv.e.262.34 | 160 | |||
5.3 | odd | 4 | inner | 315.2.bs.e.178.7 | yes | 160 | |
7.5 | odd | 6 | 315.2.cg.e.187.7 | yes | 160 | ||
9.4 | even | 3 | 315.2.cg.e.157.34 | yes | 160 | ||
9.5 | odd | 6 | 945.2.cj.e.577.7 | 160 | |||
15.8 | even | 4 | 945.2.bv.e.73.34 | 160 | |||
21.5 | even | 6 | 945.2.cj.e.397.34 | 160 | |||
35.33 | even | 12 | 315.2.cg.e.313.34 | yes | 160 | ||
45.13 | odd | 12 | 315.2.cg.e.283.7 | yes | 160 | ||
45.23 | even | 12 | 945.2.cj.e.388.34 | 160 | |||
63.5 | even | 6 | 945.2.bv.e.712.34 | 160 | |||
63.40 | odd | 6 | inner | 315.2.bs.e.292.7 | yes | 160 | |
105.68 | odd | 12 | 945.2.cj.e.208.7 | 160 | |||
315.68 | odd | 12 | 945.2.bv.e.523.34 | 160 | |||
315.103 | even | 12 | inner | 315.2.bs.e.103.7 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.7 | ✓ | 160 | 1.1 | even | 1 | trivial | |
315.2.bs.e.103.7 | yes | 160 | 315.103 | even | 12 | inner | |
315.2.bs.e.178.7 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.bs.e.292.7 | yes | 160 | 63.40 | odd | 6 | inner | |
315.2.cg.e.157.34 | yes | 160 | 9.4 | even | 3 | ||
315.2.cg.e.187.7 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.283.7 | yes | 160 | 45.13 | odd | 12 | ||
315.2.cg.e.313.34 | yes | 160 | 35.33 | even | 12 | ||
945.2.bv.e.73.34 | 160 | 15.8 | even | 4 | |||
945.2.bv.e.262.34 | 160 | 3.2 | odd | 2 | |||
945.2.bv.e.523.34 | 160 | 315.68 | odd | 12 | |||
945.2.bv.e.712.34 | 160 | 63.5 | even | 6 | |||
945.2.cj.e.208.7 | 160 | 105.68 | odd | 12 | |||
945.2.cj.e.388.34 | 160 | 45.23 | even | 12 | |||
945.2.cj.e.397.34 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.577.7 | 160 | 9.5 | odd | 6 |