Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(89,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.n (of order \(22\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 89.8 | ||
Character | \(\chi\) | \(=\) | 690.89 |
Dual form | 690.2.n.b.659.8 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.142315 | + | 0.989821i | 0.100632 | + | 0.699909i | ||||
\(3\) | −0.804725 | − | 1.53376i | −0.464608 | − | 0.885516i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | −2.06421 | − | 0.859668i | −0.923144 | − | 0.384455i | ||||
\(6\) | 1.40362 | − | 1.01481i | 0.573027 | − | 0.414295i | ||||
\(7\) | 0.955977 | − | 0.614369i | 0.361325 | − | 0.232210i | −0.347364 | − | 0.937730i | \(-0.612923\pi\) |
0.708689 | + | 0.705521i | \(0.249287\pi\) | |||||||
\(8\) | −0.415415 | − | 0.909632i | −0.146871 | − | 0.321603i | ||||
\(9\) | −1.70483 | + | 2.46851i | −0.568278 | + | 0.822836i | ||||
\(10\) | 0.557150 | − | 2.16554i | 0.176186 | − | 0.684805i | ||||
\(11\) | −0.130034 | + | 0.904408i | −0.0392068 | + | 0.272689i | −0.999989 | − | 0.00461363i | \(-0.998531\pi\) |
0.960783 | + | 0.277303i | \(0.0894405\pi\) | |||||||
\(12\) | 1.20424 | + | 1.24491i | 0.347634 | + | 0.359376i | ||||
\(13\) | −2.47130 | + | 3.84542i | −0.685415 | + | 1.06653i | 0.307936 | + | 0.951407i | \(0.400362\pi\) |
−0.993352 | + | 0.115120i | \(0.963275\pi\) | |||||||
\(14\) | 0.744166 | + | 0.858813i | 0.198887 | + | 0.229527i | ||||
\(15\) | 0.342600 | + | 3.85780i | 0.0884590 | + | 0.996080i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | 1.74601 | − | 5.94637i | 0.423470 | − | 1.44221i | −0.421224 | − | 0.906957i | \(-0.638399\pi\) |
0.844694 | − | 0.535250i | \(-0.179783\pi\) | |||||||
\(18\) | −2.68601 | − | 1.33618i | −0.633098 | − | 0.314940i | ||||
\(19\) | 0.111059 | + | 0.378232i | 0.0254787 | + | 0.0867725i | 0.971251 | − | 0.238058i | \(-0.0765109\pi\) |
−0.945772 | + | 0.324831i | \(0.894693\pi\) | |||||||
\(20\) | 2.22279 | + | 0.243289i | 0.497032 | + | 0.0544012i | ||||
\(21\) | −1.71159 | − | 0.971841i | −0.373500 | − | 0.212073i | ||||
\(22\) | −0.913708 | −0.194803 | ||||||||
\(23\) | −1.02121 | + | 4.68584i | −0.212937 | + | 0.977066i | ||||
\(24\) | −1.06086 | + | 1.36915i | −0.216547 | + | 0.279477i | ||||
\(25\) | 3.52194 | + | 3.54907i | 0.704389 | + | 0.709815i | ||||
\(26\) | −4.15798 | − | 1.89889i | −0.815447 | − | 0.372402i | ||||
\(27\) | 5.15802 | + | 0.628334i | 0.992662 | + | 0.120923i | ||||
\(28\) | −0.744166 | + | 0.858813i | −0.140634 | + | 0.162300i | ||||
\(29\) | −2.85664 | + | 9.72883i | −0.530465 | + | 1.80660i | 0.0583057 | + | 0.998299i | \(0.481430\pi\) |
−0.588771 | + | 0.808300i | \(0.700388\pi\) | |||||||
\(30\) | −3.76978 | + | 0.888135i | −0.688264 | + | 0.162151i | ||||
\(31\) | 3.71757 | + | 8.14034i | 0.667695 | + | 1.46205i | 0.875174 | + | 0.483808i | \(0.160747\pi\) |
−0.207479 | + | 0.978239i | \(0.566526\pi\) | |||||||
\(32\) | 0.654861 | + | 0.755750i | 0.115764 | + | 0.133599i | ||||
\(33\) | 1.49179 | − | 0.528359i | 0.259687 | − | 0.0919754i | ||||
\(34\) | 6.13433 | + | 0.881983i | 1.05203 | + | 0.151259i | ||||
\(35\) | −2.50149 | + | 0.446366i | −0.422830 | + | 0.0754496i | ||||
\(36\) | 0.940317 | − | 2.84882i | 0.156720 | − | 0.474804i | ||||
\(37\) | 4.47941 | + | 5.16952i | 0.736411 | + | 0.849864i | 0.993178 | − | 0.116610i | \(-0.0372026\pi\) |
−0.256767 | + | 0.966473i | \(0.582657\pi\) | |||||||
\(38\) | −0.358577 | + | 0.163757i | −0.0581689 | + | 0.0265648i | ||||
\(39\) | 7.88666 | + | 0.695875i | 1.26288 | + | 0.111429i | ||||
\(40\) | 0.0755234 | + | 2.23479i | 0.0119413 | + | 0.353352i | ||||
\(41\) | −7.60595 | − | 6.59060i | −1.18785 | − | 1.02928i | −0.998881 | − | 0.0472953i | \(-0.984940\pi\) |
−0.188969 | − | 0.981983i | \(-0.560515\pi\) | |||||||
\(42\) | 0.718363 | − | 1.83248i | 0.110846 | − | 0.282758i | ||||
\(43\) | −1.93387 | + | 4.23459i | −0.294913 | + | 0.645769i | −0.997854 | − | 0.0654792i | \(-0.979142\pi\) |
0.702941 | + | 0.711248i | \(0.251870\pi\) | |||||||
\(44\) | −0.130034 | − | 0.904408i | −0.0196034 | − | 0.136345i | ||||
\(45\) | 5.64124 | − | 3.62994i | 0.840946 | − | 0.541119i | ||||
\(46\) | −4.78348 | − | 0.343953i | −0.705286 | − | 0.0507130i | ||||
\(47\) | −8.91322 | −1.30013 | −0.650063 | − | 0.759880i | \(-0.725258\pi\) | ||||
−0.650063 | + | 0.759880i | \(0.725258\pi\) | |||||||
\(48\) | −1.50619 | − | 0.855213i | −0.217400 | − | 0.123439i | ||||
\(49\) | −2.37146 | + | 5.19278i | −0.338780 | + | 0.741825i | ||||
\(50\) | −3.01172 | + | 3.99118i | −0.425922 | + | 0.564438i | ||||
\(51\) | −10.5254 | + | 2.10723i | −1.47385 | + | 0.295072i | ||||
\(52\) | 1.28782 | − | 4.38590i | 0.178588 | − | 0.608215i | ||||
\(53\) | −0.827835 | − | 1.28814i | −0.113712 | − | 0.176939i | 0.779733 | − | 0.626113i | \(-0.215355\pi\) |
−0.893445 | + | 0.449173i | \(0.851719\pi\) | |||||||
\(54\) | 0.112124 | + | 5.19494i | 0.0152582 | + | 0.706942i | ||||
\(55\) | 1.04591 | − | 1.75510i | 0.141030 | − | 0.236658i | ||||
\(56\) | −0.955977 | − | 0.614369i | −0.127748 | − | 0.0820986i | ||||
\(57\) | 0.490745 | − | 0.474711i | 0.0650008 | − | 0.0628770i | ||||
\(58\) | −10.0363 | − | 1.44301i | −1.31784 | − | 0.189476i | ||||
\(59\) | −2.84841 | + | 4.43222i | −0.370832 | + | 0.577025i | −0.975649 | − | 0.219339i | \(-0.929610\pi\) |
0.604817 | + | 0.796365i | \(0.293246\pi\) | |||||||
\(60\) | −1.41559 | − | 3.60501i | −0.182752 | − | 0.465405i | ||||
\(61\) | 6.70797 | − | 3.06343i | 0.858868 | − | 0.392232i | 0.0632259 | − | 0.997999i | \(-0.479861\pi\) |
0.795642 | + | 0.605768i | \(0.207134\pi\) | |||||||
\(62\) | −7.52841 | + | 4.83822i | −0.956110 | + | 0.614454i | ||||
\(63\) | −0.113207 | + | 3.40724i | −0.0142627 | + | 0.429272i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | 8.40707 | − | 5.81326i | 1.04277 | − | 0.721046i | ||||
\(66\) | 0.735284 | + | 1.40141i | 0.0905072 | + | 0.172501i | ||||
\(67\) | −0.882061 | − | 6.13487i | −0.107761 | − | 0.749493i | −0.970020 | − | 0.243026i | \(-0.921860\pi\) |
0.862259 | − | 0.506468i | \(-0.169049\pi\) | |||||||
\(68\) | 6.19741i | 0.751546i | ||||||||
\(69\) | 8.00875 | − | 2.20452i | 0.964140 | − | 0.265393i | ||||
\(70\) | −0.797822 | − | 2.41251i | −0.0953580 | − | 0.288350i | ||||
\(71\) | 9.58910 | − | 1.37871i | 1.13802 | − | 0.163622i | 0.452559 | − | 0.891734i | \(-0.350511\pi\) |
0.685458 | + | 0.728112i | \(0.259602\pi\) | |||||||
\(72\) | 2.95365 | + | 0.525316i | 0.348091 | + | 0.0619091i | ||||
\(73\) | −1.47294 | − | 5.01637i | −0.172395 | − | 0.587122i | −0.999679 | − | 0.0253387i | \(-0.991934\pi\) |
0.827284 | − | 0.561784i | \(-0.189885\pi\) | |||||||
\(74\) | −4.47941 | + | 5.16952i | −0.520721 | + | 0.600945i | ||||
\(75\) | 2.60923 | − | 8.25784i | 0.301288 | − | 0.953533i | ||||
\(76\) | −0.213121 | − | 0.331622i | −0.0244466 | − | 0.0380397i | ||||
\(77\) | 0.431331 | + | 0.944482i | 0.0491547 | + | 0.107634i | ||||
\(78\) | 0.433598 | + | 7.90542i | 0.0490953 | + | 0.895113i | ||||
\(79\) | 1.62557 | − | 2.52943i | 0.182891 | − | 0.284584i | −0.737687 | − | 0.675143i | \(-0.764082\pi\) |
0.920578 | + | 0.390559i | \(0.127718\pi\) | |||||||
\(80\) | −2.20130 | + | 0.392799i | −0.246113 | + | 0.0439162i | ||||
\(81\) | −3.18708 | − | 8.41680i | −0.354120 | − | 0.935200i | ||||
\(82\) | 5.44107 | − | 8.46648i | 0.600866 | − | 0.934966i | ||||
\(83\) | −7.96766 | + | 6.90401i | −0.874564 | + | 0.757814i | −0.971391 | − | 0.237487i | \(-0.923676\pi\) |
0.0968267 | + | 0.995301i | \(0.469131\pi\) | |||||||
\(84\) | 1.91606 | + | 0.450263i | 0.209059 | + | 0.0491277i | ||||
\(85\) | −8.71604 | + | 10.7736i | −0.945388 | + | 1.16856i | ||||
\(86\) | −4.46670 | − | 1.31154i | −0.481657 | − | 0.141427i | ||||
\(87\) | 17.2205 | − | 3.44763i | 1.84623 | − | 0.369625i | ||||
\(88\) | 0.876696 | − | 0.257421i | 0.0934561 | − | 0.0274412i | ||||
\(89\) | 6.57963 | − | 14.4074i | 0.697439 | − | 1.52718i | −0.145610 | − | 0.989342i | \(-0.546514\pi\) |
0.843049 | − | 0.537837i | \(-0.180758\pi\) | |||||||
\(90\) | 4.39582 | + | 5.06722i | 0.463360 | + | 0.534132i | ||||
\(91\) | 5.19442i | 0.544524i | ||||||||
\(92\) | −0.340309 | − | 4.78374i | −0.0354796 | − | 0.498740i | ||||
\(93\) | 9.49370 | − | 12.2526i | 0.984450 | − | 1.27053i | ||||
\(94\) | −1.26848 | − | 8.82250i | −0.130834 | − | 0.909971i | ||||
\(95\) | 0.0959048 | − | 0.876226i | 0.00983962 | − | 0.0898989i | ||||
\(96\) | 0.632155 | − | 1.61257i | 0.0645190 | − | 0.164582i | ||||
\(97\) | −10.6822 | + | 12.3279i | −1.08461 | + | 1.25171i | −0.118677 | + | 0.992933i | \(0.537865\pi\) |
−0.965937 | + | 0.258778i | \(0.916680\pi\) | |||||||
\(98\) | −5.47742 | − | 1.60831i | −0.553303 | − | 0.162464i | ||||
\(99\) | −2.01085 | − | 1.86286i | −0.202098 | − | 0.187224i | ||||
\(100\) | −4.37917 | − | 2.41306i | −0.437917 | − | 0.241306i | ||||
\(101\) | 4.75115 | − | 4.11690i | 0.472757 | − | 0.409647i | −0.385626 | − | 0.922655i | \(-0.626015\pi\) |
0.858384 | + | 0.513008i | \(0.171469\pi\) | |||||||
\(102\) | −3.58370 | − | 10.1183i | −0.354839 | − | 1.00186i | ||||
\(103\) | 0.422456 | − | 2.93825i | 0.0416259 | − | 0.289514i | −0.958366 | − | 0.285542i | \(-0.907826\pi\) |
0.999992 | − | 0.00397239i | \(-0.00126445\pi\) | |||||||
\(104\) | 4.52453 | + | 0.650529i | 0.443667 | + | 0.0637897i | ||||
\(105\) | 2.69763 | + | 3.47749i | 0.263262 | + | 0.339368i | ||||
\(106\) | 1.15721 | − | 1.00273i | 0.112398 | − | 0.0973938i | ||||
\(107\) | −14.2352 | + | 6.50102i | −1.37617 | + | 0.628477i | −0.959792 | − | 0.280713i | \(-0.909429\pi\) |
−0.416381 | + | 0.909190i | \(0.636702\pi\) | |||||||
\(108\) | −5.12611 | + | 0.850301i | −0.493260 | + | 0.0818202i | ||||
\(109\) | −1.71763 | + | 5.84972i | −0.164519 | + | 0.560301i | 0.835423 | + | 0.549607i | \(0.185222\pi\) |
−0.999943 | + | 0.0106947i | \(0.996596\pi\) | |||||||
\(110\) | 1.88609 | + | 0.785485i | 0.179831 | + | 0.0748931i | ||||
\(111\) | 4.32410 | − | 11.0304i | 0.410426 | − | 1.04696i | ||||
\(112\) | 0.472066 | − | 1.03368i | 0.0446061 | − | 0.0976737i | ||||
\(113\) | 9.64896 | − | 1.38731i | 0.907698 | − | 0.130507i | 0.327376 | − | 0.944894i | \(-0.393836\pi\) |
0.580322 | + | 0.814387i | \(0.302927\pi\) | |||||||
\(114\) | 0.539719 | + | 0.418192i | 0.0505494 | + | 0.0391673i | ||||
\(115\) | 6.13627 | − | 8.79467i | 0.572210 | − | 0.820107i | ||||
\(116\) | − | 10.1396i | − | 0.941434i | ||||||
\(117\) | −5.27929 | − | 12.6562i | −0.488071 | − | 1.17007i | ||||
\(118\) | −4.79247 | − | 2.18865i | −0.441183 | − | 0.201482i | ||||
\(119\) | −1.98412 | − | 6.75729i | −0.181884 | − | 0.619440i | ||||
\(120\) | 3.36686 | − | 1.91423i | 0.307351 | − | 0.174744i | ||||
\(121\) | 9.75338 | + | 2.86385i | 0.886671 | + | 0.260350i | ||||
\(122\) | 3.98689 | + | 6.20372i | 0.360956 | + | 0.561659i | ||||
\(123\) | −3.98769 | + | 16.9693i | −0.359557 | + | 1.53007i | ||||
\(124\) | −5.86038 | − | 6.76324i | −0.526277 | − | 0.607356i | ||||
\(125\) | −4.21901 | − | 10.3537i | −0.377360 | − | 0.926067i | ||||
\(126\) | −3.38867 | + | 0.372846i | −0.301886 | + | 0.0332157i | ||||
\(127\) | −14.7504 | − | 2.12078i | −1.30888 | − | 0.188189i | −0.547673 | − | 0.836693i | \(-0.684486\pi\) |
−0.761212 | + | 0.648504i | \(0.775395\pi\) | |||||||
\(128\) | −0.841254 | − | 0.540641i | −0.0743570 | − | 0.0477863i | ||||
\(129\) | 8.05107 | − | 0.441586i | 0.708858 | − | 0.0388795i | ||||
\(130\) | 6.95054 | + | 7.49419i | 0.609603 | + | 0.657284i | ||||
\(131\) | −0.345636 | − | 0.537820i | −0.0301983 | − | 0.0469895i | 0.825826 | − | 0.563925i | \(-0.190709\pi\) |
−0.856025 | + | 0.516935i | \(0.827073\pi\) | |||||||
\(132\) | −1.28250 | + | 0.927241i | −0.111627 | + | 0.0807060i | ||||
\(133\) | 0.338544 | + | 0.293350i | 0.0293555 | + | 0.0254367i | ||||
\(134\) | 5.94689 | − | 1.74617i | 0.513733 | − | 0.150846i | ||||
\(135\) | −10.1071 | − | 5.73120i | −0.869880 | − | 0.493263i | ||||
\(136\) | −6.13433 | + | 0.881983i | −0.526014 | + | 0.0756295i | ||||
\(137\) | 10.6373i | 0.908803i | 0.890797 | + | 0.454402i | \(0.150147\pi\) | ||||
−0.890797 | + | 0.454402i | \(0.849853\pi\) | |||||||
\(138\) | 3.32185 | + | 7.61350i | 0.282774 | + | 0.648104i | ||||
\(139\) | −9.73039 | −0.825321 | −0.412661 | − | 0.910885i | \(-0.635400\pi\) | ||||
−0.412661 | + | 0.910885i | \(0.635400\pi\) | |||||||
\(140\) | 2.27441 | − | 1.13304i | 0.192223 | − | 0.0957591i | ||||
\(141\) | 7.17269 | + | 13.6707i | 0.604050 | + | 1.15128i | ||||
\(142\) | 2.72934 | + | 9.29529i | 0.229041 | + | 0.780043i | ||||
\(143\) | −3.15647 | − | 2.73510i | −0.263958 | − | 0.228721i | ||||
\(144\) | −0.0996213 | + | 2.99835i | −0.00830177 | + | 0.249862i | ||||
\(145\) | 14.2603 | − | 17.6266i | 1.18425 | − | 1.46381i | ||||
\(146\) | 4.75569 | − | 2.17185i | 0.393584 | − | 0.179744i | ||||
\(147\) | 9.87285 | − | 0.541507i | 0.814299 | − | 0.0446628i | ||||
\(148\) | −5.75439 | − | 3.69812i | −0.473008 | − | 0.303984i | ||||
\(149\) | −1.24372 | + | 8.65025i | −0.101889 | + | 0.708656i | 0.873284 | + | 0.487212i | \(0.161986\pi\) |
−0.975173 | + | 0.221444i | \(0.928923\pi\) | |||||||
\(150\) | 8.54512 | + | 1.40746i | 0.697706 | + | 0.114918i | ||||
\(151\) | −1.99413 | − | 1.28155i | −0.162280 | − | 0.104291i | 0.456980 | − | 0.889477i | \(-0.348931\pi\) |
−0.619260 | + | 0.785186i | \(0.712567\pi\) | |||||||
\(152\) | 0.297917 | − | 0.258146i | 0.0241642 | − | 0.0209384i | ||||
\(153\) | 11.7020 | + | 14.4476i | 0.946052 | + | 1.16802i | ||||
\(154\) | −0.873484 | + | 0.561354i | −0.0703874 | + | 0.0452352i | ||||
\(155\) | −0.675862 | − | 19.9993i | −0.0542865 | − | 1.60638i | ||||
\(156\) | −7.76325 | + | 1.55424i | −0.621557 | + | 0.124439i | ||||
\(157\) | 17.4466 | − | 5.12278i | 1.39239 | − | 0.408843i | 0.502326 | − | 0.864678i | \(-0.332478\pi\) |
0.890064 | + | 0.455836i | \(0.150660\pi\) | |||||||
\(158\) | 2.73503 | + | 1.24905i | 0.217587 | + | 0.0993688i | ||||
\(159\) | −1.30951 | + | 2.30630i | −0.103851 | + | 0.182901i | ||||
\(160\) | −0.702078 | − | 2.12299i | −0.0555041 | − | 0.167837i | ||||
\(161\) | 1.90258 | + | 5.10696i | 0.149945 | + | 0.402485i | ||||
\(162\) | 7.87756 | − | 4.35247i | 0.618920 | − | 0.341963i | ||||
\(163\) | −15.4066 | + | 2.21514i | −1.20674 | + | 0.173503i | −0.716186 | − | 0.697909i | \(-0.754114\pi\) |
−0.490552 | + | 0.871412i | \(0.663205\pi\) | |||||||
\(164\) | 9.15464 | + | 4.18079i | 0.714858 | + | 0.326465i | ||||
\(165\) | −3.53357 | − | 0.191796i | −0.275088 | − | 0.0149313i | ||||
\(166\) | −7.96766 | − | 6.90401i | −0.618410 | − | 0.535855i | ||||
\(167\) | 6.41448 | + | 1.88346i | 0.496367 | + | 0.145747i | 0.520328 | − | 0.853966i | \(-0.325810\pi\) |
−0.0239611 | + | 0.999713i | \(0.507628\pi\) | |||||||
\(168\) | −0.172996 | + | 1.96064i | −0.0133469 | + | 0.151266i | ||||
\(169\) | −3.27952 | − | 7.18116i | −0.252271 | − | 0.552397i | ||||
\(170\) | −11.9043 | − | 7.09409i | −0.913022 | − | 0.544092i | ||||
\(171\) | −1.12301 | − | 0.370673i | −0.0858785 | − | 0.0283461i | ||||
\(172\) | 0.662515 | − | 4.60789i | 0.0505163 | − | 0.351348i | ||||
\(173\) | −2.76882 | + | 19.2576i | −0.210510 | + | 1.46413i | 0.560950 | + | 0.827850i | \(0.310436\pi\) |
−0.771460 | + | 0.636278i | \(0.780473\pi\) | |||||||
\(174\) | 5.86327 | + | 16.5546i | 0.444494 | + | 1.25500i | ||||
\(175\) | 5.54734 | + | 1.22906i | 0.419339 | + | 0.0929082i | ||||
\(176\) | 0.379568 | + | 0.831138i | 0.0286110 | + | 0.0626494i | ||||
\(177\) | 9.09014 | + | 0.802063i | 0.683257 | + | 0.0602867i | ||||
\(178\) | 15.1971 | + | 4.46227i | 1.13907 | + | 0.334462i | ||||
\(179\) | −3.40016 | − | 2.94626i | −0.254140 | − | 0.220214i | 0.518468 | − | 0.855097i | \(-0.326503\pi\) |
−0.772608 | + | 0.634883i | \(0.781048\pi\) | |||||||
\(180\) | −4.39006 | + | 5.07222i | −0.327216 | + | 0.378061i | ||||
\(181\) | −13.5975 | − | 6.20977i | −1.01069 | − | 0.461569i | −0.159937 | − | 0.987127i | \(-0.551129\pi\) |
−0.850758 | + | 0.525558i | \(0.823856\pi\) | |||||||
\(182\) | −5.14155 | + | 0.739244i | −0.381117 | + | 0.0547964i | ||||
\(183\) | −10.0966 | − | 7.82319i | −0.746365 | − | 0.578307i | ||||
\(184\) | 4.68662 | − | 1.01764i | 0.345502 | − | 0.0750216i | ||||
\(185\) | −4.80239 | − | 14.5218i | −0.353079 | − | 1.06766i | ||||
\(186\) | 13.4790 | + | 7.65334i | 0.988326 | + | 0.561170i | ||||
\(187\) | 5.15090 | + | 2.35234i | 0.376671 | + | 0.172020i | ||||
\(188\) | 8.55217 | − | 2.51114i | 0.623731 | − | 0.183144i | ||||
\(189\) | 5.31698 | − | 2.56826i | 0.386754 | − | 0.186813i | ||||
\(190\) | 0.880956 | − | 0.0297713i | 0.0639112 | − | 0.00215984i | ||||
\(191\) | −6.66753 | + | 4.28496i | −0.482445 | + | 0.310049i | −0.759161 | − | 0.650903i | \(-0.774390\pi\) |
0.276715 | + | 0.960952i | \(0.410754\pi\) | |||||||
\(192\) | 1.68612 | + | 0.396228i | 0.121685 | + | 0.0285953i | ||||
\(193\) | 5.97374 | − | 5.17628i | 0.429999 | − | 0.372597i | −0.412802 | − | 0.910821i | \(-0.635450\pi\) |
0.842802 | + | 0.538224i | \(0.180905\pi\) | |||||||
\(194\) | −13.7227 | − | 8.81903i | −0.985231 | − | 0.633170i | ||||
\(195\) | −15.6815 | − | 8.21634i | −1.12298 | − | 0.588385i | ||||
\(196\) | 0.812427 | − | 5.65055i | 0.0580305 | − | 0.403611i | ||||
\(197\) | −4.26621 | − | 2.74173i | −0.303955 | − | 0.195340i | 0.379768 | − | 0.925082i | \(-0.376004\pi\) |
−0.683723 | + | 0.729742i | \(0.739640\pi\) | |||||||
\(198\) | 1.55772 | − | 2.25550i | 0.110702 | − | 0.160291i | ||||
\(199\) | −10.9150 | + | 4.98472i | −0.773745 | + | 0.353357i | −0.762844 | − | 0.646583i | \(-0.776197\pi\) |
−0.0109014 | + | 0.999941i | \(0.503470\pi\) | |||||||
\(200\) | 1.76528 | − | 4.67801i | 0.124824 | − | 0.330785i | ||||
\(201\) | −8.69959 | + | 6.28975i | −0.613622 | + | 0.443645i | ||||
\(202\) | 4.75115 | + | 4.11690i | 0.334290 | + | 0.289664i | ||||
\(203\) | 3.24621 | + | 11.0556i | 0.227839 | + | 0.775949i | ||||
\(204\) | 9.50533 | − | 4.98721i | 0.665507 | − | 0.349175i | ||||
\(205\) | 10.0346 | + | 20.1430i | 0.700845 | + | 1.40685i | ||||
\(206\) | 2.96846 | 0.206823 | ||||||||
\(207\) | −9.82605 | − | 10.5095i | −0.682958 | − | 0.730458i | ||||
\(208\) | 4.57106i | 0.316946i | ||||||||
\(209\) | −0.356518 | + | 0.0512595i | −0.0246608 | + | 0.00354569i | ||||
\(210\) | −3.05818 | + | 3.16507i | −0.211034 | + | 0.218411i | ||||
\(211\) | 15.8447 | − | 4.65242i | 1.09079 | − | 0.320286i | 0.313605 | − | 0.949554i | \(-0.398463\pi\) |
0.777188 | + | 0.629268i | \(0.216645\pi\) | |||||||
\(212\) | 1.15721 | + | 1.00273i | 0.0794777 | + | 0.0688678i | ||||
\(213\) | −9.83120 | − | 13.5979i | −0.673622 | − | 0.931713i | ||||
\(214\) | −8.46074 | − | 13.1652i | −0.578364 | − | 0.899952i | ||||
\(215\) | 7.63226 | − | 7.07860i | 0.520516 | − | 0.482757i | ||||
\(216\) | −1.57117 | − | 4.95292i | −0.106904 | − | 0.337004i | ||||
\(217\) | 8.55508 | + | 5.49802i | 0.580757 | + | 0.373230i | ||||
\(218\) | −6.03462 | − | 0.867648i | −0.408716 | − | 0.0587645i | ||||
\(219\) | −6.50860 | + | 6.29594i | −0.439810 | + | 0.425440i | ||||
\(220\) | −0.509072 | + | 1.97868i | −0.0343216 | + | 0.133402i | ||||
\(221\) | 18.5514 | + | 21.4094i | 1.24790 | + | 1.44015i | ||||
\(222\) | 11.5335 | + | 2.71030i | 0.774078 | + | 0.181903i | ||||
\(223\) | −5.77324 | − | 8.98334i | −0.386605 | − | 0.601569i | 0.592341 | − | 0.805687i | \(-0.298204\pi\) |
−0.978946 | + | 0.204118i | \(0.934567\pi\) | |||||||
\(224\) | 1.09034 | + | 0.320153i | 0.0728515 | + | 0.0213911i | ||||
\(225\) | −14.7653 | + | 2.64337i | −0.984350 | + | 0.176224i | ||||
\(226\) | 2.74638 | + | 9.35332i | 0.182687 | + | 0.622173i | ||||
\(227\) | 6.55117 | + | 2.99182i | 0.434817 | + | 0.198574i | 0.620784 | − | 0.783982i | \(-0.286814\pi\) |
−0.185967 | + | 0.982556i | \(0.559542\pi\) | |||||||
\(228\) | −0.337125 | + | 0.593741i | −0.0223267 | + | 0.0393214i | ||||
\(229\) | − | 14.7923i | − | 0.977502i | −0.872423 | − | 0.488751i | \(-0.837453\pi\) | ||
0.872423 | − | 0.488751i | \(-0.162547\pi\) | |||||||
\(230\) | 9.57844 | + | 4.82220i | 0.631583 | + | 0.317966i | ||||
\(231\) | 1.10151 | − | 1.42161i | 0.0724738 | − | 0.0935348i | ||||
\(232\) | 10.0363 | − | 1.44301i | 0.658919 | − | 0.0947382i | ||||
\(233\) | 3.13206 | − | 6.85824i | 0.205188 | − | 0.449299i | −0.778861 | − | 0.627196i | \(-0.784202\pi\) |
0.984049 | + | 0.177898i | \(0.0569296\pi\) | |||||||
\(234\) | 11.7761 | − | 7.02673i | 0.769827 | − | 0.459352i | ||||
\(235\) | 18.3988 | + | 7.66241i | 1.20020 | + | 0.499840i | ||||
\(236\) | 1.48433 | − | 5.05517i | 0.0966218 | − | 0.329064i | ||||
\(237\) | −5.18768 | − | 0.457731i | −0.336976 | − | 0.0297329i | ||||
\(238\) | 6.40614 | − | 2.92559i | 0.415249 | − | 0.189638i | ||||
\(239\) | 12.4756 | − | 10.8101i | 0.806976 | − | 0.699249i | −0.150231 | − | 0.988651i | \(-0.548002\pi\) |
0.957208 | + | 0.289402i | \(0.0934564\pi\) | |||||||
\(240\) | 2.37390 | + | 3.06016i | 0.153234 | + | 0.197533i | ||||
\(241\) | 8.53816 | + | 1.22760i | 0.549991 | + | 0.0790768i | 0.411708 | − | 0.911316i | \(-0.364932\pi\) |
0.138283 | + | 0.990393i | \(0.455842\pi\) | |||||||
\(242\) | −1.44665 | + | 10.0617i | −0.0929942 | + | 0.646789i | ||||
\(243\) | −10.3446 | + | 11.6614i | −0.663608 | + | 0.748081i | ||||
\(244\) | −5.57318 | + | 4.82919i | −0.356786 | + | 0.309157i | ||||
\(245\) | 9.35926 | − | 8.68032i | 0.597941 | − | 0.554566i | ||||
\(246\) | −17.3641 | − | 1.53211i | −1.10709 | − | 0.0976838i | ||||
\(247\) | −1.72892 | − | 0.507657i | −0.110009 | − | 0.0323015i | ||||
\(248\) | 5.86038 | − | 6.76324i | 0.372134 | − | 0.429466i | ||||
\(249\) | 17.0009 | + | 6.66463i | 1.07739 | + | 0.422354i | ||||
\(250\) | 9.64793 | − | 5.64956i | 0.610188 | − | 0.357310i | ||||
\(251\) | 3.58418 | + | 24.9285i | 0.226231 | + | 1.57347i | 0.713776 | + | 0.700375i | \(0.246984\pi\) |
−0.487544 | + | 0.873098i | \(0.662107\pi\) | |||||||
\(252\) | −0.851308 | − | 3.30111i | −0.0536274 | − | 0.207951i | ||||
\(253\) | −4.10512 | − | 1.53291i | −0.258087 | − | 0.0963733i | ||||
\(254\) | − | 14.9021i | − | 0.935038i | ||||||
\(255\) | 23.5381 | + | 4.69854i | 1.47401 | + | 0.294234i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 12.4856 | − | 3.66611i | 0.778831 | − | 0.228686i | 0.131930 | − | 0.991259i | \(-0.457883\pi\) |
0.646902 | + | 0.762573i | \(0.276064\pi\) | |||||||
\(258\) | 1.58288 | + | 7.90628i | 0.0985457 | + | 0.492224i | ||||
\(259\) | 7.45821 | + | 2.18993i | 0.463431 | + | 0.136076i | ||||
\(260\) | −6.42874 | + | 7.94633i | −0.398694 | + | 0.492810i | ||||
\(261\) | −19.1456 | − | 23.6377i | −1.18508 | − | 1.46314i | ||||
\(262\) | 0.483156 | − | 0.418657i | 0.0298495 | − | 0.0258647i | ||||
\(263\) | −9.83503 | + | 15.3036i | −0.606454 | + | 0.943661i | 0.393252 | + | 0.919431i | \(0.371350\pi\) |
−0.999706 | + | 0.0242305i | \(0.992286\pi\) | |||||||
\(264\) | −1.10032 | − | 1.13749i | −0.0677201 | − | 0.0700075i | ||||
\(265\) | 0.601458 | + | 3.37065i | 0.0369473 | + | 0.207057i | ||||
\(266\) | −0.242185 | + | 0.376847i | −0.0148493 | + | 0.0231059i | ||||
\(267\) | −27.3922 | + | 1.50241i | −1.67638 | + | 0.0919462i | ||||
\(268\) | 2.57472 | + | 5.63786i | 0.157276 | + | 0.344387i | ||||
\(269\) | 5.64427 | + | 8.78265i | 0.344137 | + | 0.535488i | 0.969578 | − | 0.244784i | \(-0.0787171\pi\) |
−0.625440 | + | 0.780272i | \(0.715081\pi\) | |||||||
\(270\) | 4.23448 | − | 10.8199i | 0.257702 | − | 0.658475i | ||||
\(271\) | −0.564550 | + | 0.651525i | −0.0342939 | + | 0.0395773i | −0.772637 | − | 0.634848i | \(-0.781063\pi\) |
0.738343 | + | 0.674425i | \(0.235608\pi\) | |||||||
\(272\) | −1.74601 | − | 5.94637i | −0.105868 | − | 0.360552i | ||||
\(273\) | 7.96700 | − | 4.18008i | 0.482185 | − | 0.252990i | ||||
\(274\) | −10.5290 | + | 1.51384i | −0.636080 | + | 0.0914545i | ||||
\(275\) | −3.66778 | + | 2.72377i | −0.221176 | + | 0.164250i | ||||
\(276\) | −7.06325 | + | 4.37155i | −0.425158 | + | 0.263136i | ||||
\(277\) | − | 13.4347i | − | 0.807212i | −0.914933 | − | 0.403606i | \(-0.867757\pi\) | ||
0.914933 | − | 0.403606i | \(-0.132243\pi\) | |||||||
\(278\) | −1.38478 | − | 9.63135i | −0.0830536 | − | 0.577650i | ||||
\(279\) | −26.4323 | − | 4.70108i | −1.58246 | − | 0.281446i | ||||
\(280\) | 1.44519 | + | 2.09001i | 0.0863664 | + | 0.124902i | ||||
\(281\) | −8.66510 | + | 10.0001i | −0.516917 | + | 0.596554i | −0.952856 | − | 0.303422i | \(-0.901871\pi\) |
0.435939 | + | 0.899976i | \(0.356416\pi\) | |||||||
\(282\) | −12.5108 | + | 9.04523i | −0.745007 | + | 0.538636i | ||||
\(283\) | −25.3685 | + | 16.3033i | −1.50800 | + | 0.969132i | −0.514232 | + | 0.857651i | \(0.671923\pi\) |
−0.993767 | + | 0.111481i | \(0.964441\pi\) | |||||||
\(284\) | −8.81225 | + | 4.02442i | −0.522911 | + | 0.238805i | ||||
\(285\) | −1.42110 | + | 0.558026i | −0.0841785 | + | 0.0330546i | ||||
\(286\) | 2.25805 | − | 3.51359i | 0.133521 | − | 0.207763i | ||||
\(287\) | −11.3202 | − | 1.62760i | −0.668209 | − | 0.0960740i | ||||
\(288\) | −2.98200 | + | 0.328102i | −0.175716 | + | 0.0193336i | ||||
\(289\) | −18.0095 | − | 11.5740i | −1.05938 | − | 0.680822i | ||||
\(290\) | 19.4766 | + | 11.6066i | 1.14371 | + | 0.681563i | ||||
\(291\) | 27.5043 | + | 6.46334i | 1.61233 | + | 0.378888i | ||||
\(292\) | 2.82655 | + | 4.39820i | 0.165411 | + | 0.257385i | ||||
\(293\) | −2.12053 | + | 7.22185i | −0.123882 | + | 0.421905i | −0.997957 | − | 0.0638867i | \(-0.979650\pi\) |
0.874075 | + | 0.485791i | \(0.161469\pi\) | |||||||
\(294\) | 1.94105 | + | 9.69529i | 0.113204 | + | 0.565441i | ||||
\(295\) | 9.68996 | − | 6.70035i | 0.564171 | − | 0.390109i | ||||
\(296\) | 2.84154 | − | 6.22212i | 0.165161 | − | 0.361653i | ||||
\(297\) | −1.23899 | + | 4.58325i | −0.0718935 | + | 0.265947i | ||||
\(298\) | −8.73920 | −0.506248 | ||||||||
\(299\) | −15.4953 | − | 15.5071i | −0.896117 | − | 0.896800i | ||||
\(300\) | −0.177033 | + | 8.65844i | −0.0102210 | + | 0.499896i | ||||
\(301\) | 0.752864 | + | 5.23628i | 0.0433943 | + | 0.301814i | ||||
\(302\) | 0.984710 | − | 2.15621i | 0.0566637 | − | 0.124076i | ||||
\(303\) | −10.1377 | − | 3.97415i | −0.582396 | − | 0.228309i | ||||
\(304\) | 0.297917 | + | 0.258146i | 0.0170867 | + | 0.0148057i | ||||
\(305\) | −16.4802 | + | 0.556938i | −0.943654 | + | 0.0318902i | ||||
\(306\) | −12.6352 | + | 13.6390i | −0.722306 | + | 0.779691i | ||||
\(307\) | −20.7597 | + | 9.48065i | −1.18482 | + | 0.541090i | −0.907649 | − | 0.419731i | \(-0.862124\pi\) |
−0.277172 | + | 0.960820i | \(0.589397\pi\) | |||||||
\(308\) | −0.679950 | − | 0.784704i | −0.0387438 | − | 0.0447127i | ||||
\(309\) | −4.84653 | + | 1.71654i | −0.275709 | + | 0.0976503i | ||||
\(310\) | 19.6995 | − | 3.51517i | 1.11886 | − | 0.199648i | ||||
\(311\) | −7.18241 | − | 1.03267i | −0.407277 | − | 0.0585576i | −0.0643681 | − | 0.997926i | \(-0.520503\pi\) |
−0.342909 | + | 0.939369i | \(0.611412\pi\) | |||||||
\(312\) | −2.64325 | − | 7.46304i | −0.149645 | − | 0.422511i | ||||
\(313\) | −11.7474 | − | 13.5572i | −0.664001 | − | 0.766298i | 0.319424 | − | 0.947612i | \(-0.396511\pi\) |
−0.983425 | + | 0.181313i | \(0.941965\pi\) | |||||||
\(314\) | 7.55355 | + | 16.5400i | 0.426271 | + | 0.933404i | ||||
\(315\) | 3.16277 | − | 6.93594i | 0.178202 | − | 0.390796i | ||||
\(316\) | −0.847098 | + | 2.88495i | −0.0476530 | + | 0.162291i | ||||
\(317\) | 8.78306 | − | 10.1362i | 0.493306 | − | 0.569305i | −0.453440 | − | 0.891287i | \(-0.649803\pi\) |
0.946746 | + | 0.321982i | \(0.104349\pi\) | |||||||
\(318\) | −2.46918 | − | 0.967963i | −0.138465 | − | 0.0542807i | ||||
\(319\) | −8.42737 | − | 3.84865i | −0.471842 | − | 0.215483i | ||||
\(320\) | 2.00146 | − | 0.997065i | 0.111885 | − | 0.0557376i | ||||
\(321\) | 21.4265 | + | 16.6019i | 1.19591 | + | 0.926628i | ||||
\(322\) | −4.78421 | + | 2.61001i | −0.266614 | + | 0.145450i | ||||
\(323\) | 2.44302 | 0.135933 | ||||||||
\(324\) | 5.42927 | + | 7.17796i | 0.301626 | + | 0.398775i | ||||
\(325\) | −22.3515 | + | 4.77252i | −1.23984 | + | 0.264732i | ||||
\(326\) | −4.38518 | − | 14.9345i | −0.242872 | − | 0.827148i | ||||
\(327\) | 10.3543 | − | 2.07298i | 0.572593 | − | 0.114636i | ||||
\(328\) | −2.83539 | + | 9.65645i | −0.156558 | + | 0.533188i | ||||
\(329\) | −8.52084 | + | 5.47601i | −0.469769 | + | 0.301902i | ||||
\(330\) | −0.313036 | − | 3.52490i | −0.0172321 | − | 0.194040i | ||||
\(331\) | 10.6386 | + | 12.2776i | 0.584748 | + | 0.674836i | 0.968619 | − | 0.248551i | \(-0.0799545\pi\) |
−0.383870 | + | 0.923387i | \(0.625409\pi\) | |||||||
\(332\) | 5.69983 | − | 8.86910i | 0.312819 | − | 0.486755i | ||||
\(333\) | −20.3977 | + | 2.24430i | −1.11779 | + | 0.122987i | ||||
\(334\) | −0.951414 | + | 6.61723i | −0.0520591 | + | 0.362079i | ||||
\(335\) | −3.45319 | + | 13.4219i | −0.188668 | + | 0.733319i | ||||
\(336\) | −1.96530 | + | 0.107793i | −0.107216 | + | 0.00588060i | ||||
\(337\) | −0.990198 | − | 2.16823i | −0.0539395 | − | 0.118111i | 0.880743 | − | 0.473594i | \(-0.157044\pi\) |
−0.934683 | + | 0.355483i | \(0.884316\pi\) | |||||||
\(338\) | 6.64134 | − | 4.26813i | 0.361241 | − | 0.232156i | ||||
\(339\) | −9.89257 | − | 13.6828i | −0.537290 | − | 0.743147i | ||||
\(340\) | 5.32771 | − | 12.7928i | 0.288936 | − | 0.693785i | ||||
\(341\) | −7.84559 | + | 2.30367i | −0.424863 | + | 0.124751i | ||||
\(342\) | 0.207080 | − | 1.16433i | 0.0111976 | − | 0.0629597i | ||||
\(343\) | 2.05528 | + | 14.2948i | 0.110975 | + | 0.771845i | ||||
\(344\) | 4.65528 | 0.250996 | ||||||||
\(345\) | −18.4269 | − | 2.33426i | −0.992072 | − | 0.125672i | ||||
\(346\) | −19.4556 | −1.04594 | ||||||||
\(347\) | 2.54956 | + | 17.7326i | 0.136867 | + | 0.951934i | 0.936306 | + | 0.351186i | \(0.114221\pi\) |
−0.799438 | + | 0.600748i | \(0.794870\pi\) | |||||||
\(348\) | −15.5516 | + | 8.15956i | −0.833655 | + | 0.437398i | ||||
\(349\) | 4.48842 | − | 1.31792i | 0.240260 | − | 0.0705466i | −0.159386 | − | 0.987216i | \(-0.550951\pi\) |
0.399646 | + | 0.916670i | \(0.369133\pi\) | |||||||
\(350\) | −0.427081 | + | 5.66579i | −0.0228284 | + | 0.302849i | ||||
\(351\) | −15.1632 | + | 18.2820i | −0.809353 | + | 0.975819i | ||||
\(352\) | −0.768660 | + | 0.493988i | −0.0409697 | + | 0.0263296i | ||||
\(353\) | 0.0845283 | + | 0.185091i | 0.00449899 | + | 0.00985141i | 0.911868 | − | 0.410483i | \(-0.134640\pi\) |
−0.907369 | + | 0.420335i | \(0.861913\pi\) | |||||||
\(354\) | 0.499763 | + | 9.11176i | 0.0265621 | + | 0.484285i | ||||
\(355\) | −20.9792 | − | 5.39750i | −1.11346 | − | 0.286470i | ||||
\(356\) | −2.25408 | + | 15.6775i | −0.119466 | + | 0.830904i | ||||
\(357\) | −8.76739 | + | 8.48093i | −0.464019 | + | 0.448858i | ||||
\(358\) | 2.43238 | − | 3.78485i | 0.128555 | − | 0.200036i | ||||
\(359\) | −17.1471 | − | 19.7888i | −0.904987 | − | 1.04441i | −0.998808 | − | 0.0488218i | \(-0.984453\pi\) |
0.0938202 | − | 0.995589i | \(-0.470092\pi\) | |||||||
\(360\) | −5.64536 | − | 3.62352i | −0.297537 | − | 0.190976i | ||||
\(361\) | 15.8531 | − | 10.1882i | 0.834373 | − | 0.536219i | ||||
\(362\) | 4.21144 | − | 14.3428i | 0.221348 | − | 0.753843i | ||||
\(363\) | −3.45633 | − | 17.2639i | −0.181410 | − | 0.906122i | ||||
\(364\) | −1.46344 | − | 4.98401i | −0.0767050 | − | 0.261233i | ||||
\(365\) | −1.27195 | + | 11.6211i | −0.0665771 | + | 0.608276i | ||||
\(366\) | 6.30666 | − | 11.1072i | 0.329655 | − | 0.580584i | ||||
\(367\) | 11.5036 | 0.600485 | 0.300243 | − | 0.953863i | \(-0.402932\pi\) | ||||
0.300243 | + | 0.953863i | \(0.402932\pi\) | |||||||
\(368\) | 1.67426 | + | 4.49409i | 0.0872768 | + | 0.234271i | ||||
\(369\) | 29.2358 | − | 7.53949i | 1.52196 | − | 0.392490i | ||||
\(370\) | 13.6905 | − | 6.82018i | 0.711737 | − | 0.354564i | ||||
\(371\) | −1.58278 | − | 0.722833i | −0.0821740 | − | 0.0375276i | ||||
\(372\) | −5.65718 | + | 14.4310i | −0.293311 | + | 0.748210i | ||||
\(373\) | 1.82996 | − | 2.11188i | 0.0947515 | − | 0.109349i | −0.706394 | − | 0.707819i | \(-0.749679\pi\) |
0.801145 | + | 0.598470i | \(0.204225\pi\) | |||||||
\(374\) | −1.59535 | + | 5.43325i | −0.0824933 | + | 0.280947i | ||||
\(375\) | −12.4850 | + | 14.8029i | −0.644723 | + | 0.764417i | ||||
\(376\) | 3.70268 | + | 8.10775i | 0.190951 | + | 0.418125i | ||||
\(377\) | −30.3518 | − | 35.0279i | −1.56320 | − | 1.80403i | ||||
\(378\) | 3.29880 | + | 4.89736i | 0.169672 | + | 0.251893i | ||||
\(379\) | 0.210121 | + | 0.0302108i | 0.0107932 | + | 0.00155183i | 0.147709 | − | 0.989031i | \(-0.452810\pi\) |
−0.136916 | + | 0.990583i | \(0.543719\pi\) | |||||||
\(380\) | 0.154841 | + | 0.867752i | 0.00794319 | + | 0.0445147i | ||||
\(381\) | 8.61723 | + | 24.3302i | 0.441474 | + | 1.24647i | ||||
\(382\) | −5.19023 | − | 5.98985i | −0.265555 | − | 0.306467i | ||||
\(383\) | 28.5118 | − | 13.0209i | 1.45689 | − | 0.665338i | 0.479644 | − | 0.877463i | \(-0.340766\pi\) |
0.977242 | + | 0.212125i | \(0.0680385\pi\) | |||||||
\(384\) | −0.152235 | + | 1.72535i | −0.00776871 | + | 0.0880463i | ||||
\(385\) | −0.0784169 | − | 2.32041i | −0.00399649 | − | 0.118259i | ||||
\(386\) | 5.97374 | + | 5.17628i | 0.304056 | + | 0.263466i | ||||
\(387\) | −7.15619 | − | 11.9931i | −0.363770 | − | 0.609641i | ||||
\(388\) | 6.77633 | − | 14.8381i | 0.344016 | − | 0.753290i | ||||
\(389\) | 2.59557 | + | 18.0526i | 0.131600 | + | 0.915301i | 0.943469 | + | 0.331461i | \(0.107541\pi\) |
−0.811869 | + | 0.583840i | \(0.801549\pi\) | |||||||
\(390\) | 5.90100 | − | 16.6912i | 0.298809 | − | 0.845193i | ||||
\(391\) | 26.0807 | + | 14.2540i | 1.31896 | + | 0.720858i | ||||
\(392\) | 5.70866 | 0.288331 | ||||||||
\(393\) | −0.546744 | + | 0.962919i | −0.0275796 | + | 0.0485728i | ||||
\(394\) | 2.10668 | − | 4.61298i | 0.106133 | − | 0.232398i | ||||
\(395\) | −5.52999 | + | 3.82384i | −0.278244 | + | 0.192398i | ||||
\(396\) | 2.45423 | + | 1.22088i | 0.123329 | + | 0.0613513i | ||||
\(397\) | 5.20139 | − | 17.7143i | 0.261050 | − | 0.889055i | −0.719782 | − | 0.694200i | \(-0.755758\pi\) |
0.980832 | − | 0.194855i | \(-0.0624236\pi\) | |||||||
\(398\) | −6.48735 | − | 10.0945i | −0.325182 | − | 0.505992i | ||||
\(399\) | 0.177494 | − | 0.755312i | 0.00888579 | − | 0.0378129i | ||||
\(400\) | 4.88162 | + | 1.08156i | 0.244081 | + | 0.0540782i | ||||
\(401\) | −0.210668 | − | 0.135388i | −0.0105203 | − | 0.00676096i | 0.535370 | − | 0.844618i | \(-0.320172\pi\) |
−0.545890 | + | 0.837857i | \(0.683808\pi\) | |||||||
\(402\) | −7.46381 | − | 7.71592i | −0.372261 | − | 0.384835i | ||||
\(403\) | −40.4902 | − | 5.82162i | −2.01696 | − | 0.289995i | ||||
\(404\) | −3.39883 | + | 5.28869i | −0.169098 | + | 0.263122i | ||||
\(405\) | −0.656849 | + | 20.1139i | −0.0326391 | + | 0.999467i | ||||
\(406\) | −10.4811 | + | 4.78654i | −0.520166 | + | 0.237552i | ||||
\(407\) | −5.25783 | + | 3.37900i | −0.260621 | + | 0.167491i | ||||
\(408\) | 6.28920 | + | 8.69883i | 0.311362 | + | 0.430656i | ||||
\(409\) | −10.4300 | + | 12.0368i | −0.515728 | + | 0.595182i | −0.952556 | − | 0.304363i | \(-0.901556\pi\) |
0.436828 | + | 0.899545i | \(0.356102\pi\) | |||||||
\(410\) | −18.5099 | + | 12.7991i | −0.914138 | + | 0.632102i | ||||
\(411\) | 16.3150 | − | 8.56008i | 0.804760 | − | 0.422237i | ||||
\(412\) | 0.422456 | + | 2.93825i | 0.0208129 | + | 0.144757i | ||||
\(413\) | 5.98708i | 0.294605i | ||||||||
\(414\) | 9.00410 | − | 11.2217i | 0.442527 | − | 0.551516i | ||||
\(415\) | 22.3821 | − | 7.40181i | 1.09869 | − | 0.363341i | ||||
\(416\) | −4.52453 | + | 0.650529i | −0.221833 | + | 0.0318948i | ||||
\(417\) | 7.83029 | + | 14.9241i | 0.383451 | + | 0.730835i | ||||
\(418\) | −0.101476 | − | 0.345594i | −0.00496333 | − | 0.0169036i | ||||
\(419\) | 10.4325 | − | 12.0398i | 0.509661 | − | 0.588180i | −0.441351 | − | 0.897335i | \(-0.645500\pi\) |
0.951012 | + | 0.309154i | \(0.100046\pi\) | |||||||
\(420\) | −3.56808 | − | 2.57661i | −0.174105 | − | 0.125726i | ||||
\(421\) | 10.0357 | + | 15.6159i | 0.489111 | + | 0.761072i | 0.994822 | − | 0.101631i | \(-0.0324062\pi\) |
−0.505711 | + | 0.862703i | \(0.668770\pi\) | |||||||
\(422\) | 6.86000 | + | 15.0213i | 0.333939 | + | 0.731225i | ||||
\(423\) | 15.1956 | − | 22.0024i | 0.738834 | − | 1.06979i | ||||
\(424\) | −0.827835 | + | 1.28814i | −0.0402032 | + | 0.0625575i | ||||
\(425\) | 27.2535 | − | 14.7461i | 1.32199 | − | 0.715289i | ||||
\(426\) | 12.0604 | − | 11.6663i | 0.584327 | − | 0.565235i | ||||
\(427\) | 4.53059 | − | 7.04974i | 0.219251 | − | 0.341161i | ||||
\(428\) | 11.8271 | − | 10.2482i | 0.571683 | − | 0.495366i | ||||
\(429\) | −1.65489 | + | 7.04227i | −0.0798989 | + | 0.340004i | ||||
\(430\) | 8.09273 | + | 6.54718i | 0.390266 | + | 0.315733i | ||||
\(431\) | −6.68325 | − | 1.96238i | −0.321921 | − | 0.0945244i | 0.116780 | − | 0.993158i | \(-0.462743\pi\) |
−0.438700 | + | 0.898633i | \(0.644561\pi\) | |||||||
\(432\) | 4.67891 | − | 2.26005i | 0.225114 | − | 0.108737i | ||||
\(433\) | 26.5442 | − | 7.79408i | 1.27563 | − | 0.374559i | 0.427341 | − | 0.904090i | \(-0.359450\pi\) |
0.848291 | + | 0.529531i | \(0.177632\pi\) | |||||||
\(434\) | −4.22454 | + | 9.25045i | −0.202784 | + | 0.444036i | ||||
\(435\) | −38.5106 | − | 7.68726i | −1.84644 | − | 0.368576i | ||||
\(436\) | − | 6.09668i | − | 0.291978i | ||||||
\(437\) | −1.88575 | + | 0.134150i | −0.0902078 | + | 0.00641726i | ||||
\(438\) | −7.15813 | − | 5.54635i | −0.342028 | − | 0.265015i | ||||
\(439\) | 1.67590 | + | 11.6562i | 0.0799864 | + | 0.556318i | 0.989927 | + | 0.141579i | \(0.0452179\pi\) |
−0.909941 | + | 0.414739i | \(0.863873\pi\) | |||||||
\(440\) | −2.03098 | − | 0.222295i | −0.0968234 | − | 0.0105975i | ||||
\(441\) | −8.77547 | − | 14.7068i | −0.417880 | − | 0.700324i | ||||
\(442\) | −18.5514 | + | 21.4094i | −0.882399 | + | 1.01834i | ||||
\(443\) | −25.6971 | − | 7.54536i | −1.22091 | − | 0.358491i | −0.393097 | − | 0.919497i | \(-0.628596\pi\) |
−0.827812 | + | 0.561006i | \(0.810414\pi\) | |||||||
\(444\) | −1.04133 | + | 11.8018i | −0.0494191 | + | 0.560090i | ||||
\(445\) | −25.9673 | + | 24.0836i | −1.23097 | + | 1.14167i | ||||
\(446\) | 8.07029 | − | 6.99294i | 0.382139 | − | 0.331125i | ||||
\(447\) | 14.2683 | − | 5.05351i | 0.674865 | − | 0.239023i | ||||
\(448\) | −0.161723 | + | 1.12481i | −0.00764068 | + | 0.0531421i | ||||
\(449\) | −20.2233 | − | 2.90767i | −0.954398 | − | 0.137222i | −0.352515 | − | 0.935806i | \(-0.614673\pi\) |
−0.601883 | + | 0.798585i | \(0.705583\pi\) | |||||||
\(450\) | −4.71777 | − | 14.2388i | −0.222398 | − | 0.671222i | ||||
\(451\) | 6.94962 | − | 6.02188i | 0.327245 | − | 0.283559i | ||||
\(452\) | −8.86726 | + | 4.04954i | −0.417081 | + | 0.190474i | ||||
\(453\) | −0.360861 | + | 4.08981i | −0.0169547 | + | 0.192156i | ||||
\(454\) | −2.02904 | + | 6.91027i | −0.0952275 | + | 0.324315i | ||||
\(455\) | 4.46548 | − | 10.7224i | 0.209345 | − | 0.502674i | ||||
\(456\) | −0.635675 | − | 0.249196i | −0.0297682 | − | 0.0116697i | ||||
\(457\) | −4.15562 | + | 9.09955i | −0.194392 | + | 0.425659i | −0.981579 | − | 0.191055i | \(-0.938809\pi\) |
0.787187 | + | 0.616714i | \(0.211536\pi\) | |||||||
\(458\) | 14.6417 | − | 2.10516i | 0.684163 | − | 0.0983678i | ||||
\(459\) | 12.7423 | − | 29.5744i | 0.594759 | − | 1.38042i | ||||
\(460\) | −3.40996 | + | 10.1672i | −0.158990 | + | 0.474049i | ||||
\(461\) | 17.0976i | 0.796314i | 0.917317 | + | 0.398157i | \(0.130350\pi\) | ||||
−0.917317 | + | 0.398157i | \(0.869650\pi\) | |||||||
\(462\) | 1.56390 | + | 0.887978i | 0.0727591 | + | 0.0413125i | ||||
\(463\) | 7.29605 | + | 3.33199i | 0.339076 | + | 0.154851i | 0.577674 | − | 0.816268i | \(-0.303961\pi\) |
−0.238598 | + | 0.971118i | \(0.576688\pi\) | |||||||
\(464\) | 2.85664 | + | 9.72883i | 0.132616 | + | 0.451650i | ||||
\(465\) | −30.1302 | + | 17.1305i | −1.39725 | + | 0.794408i | ||||
\(466\) | 7.23417 | + | 2.12415i | 0.335117 | + | 0.0983991i | ||||
\(467\) | 12.6660 | + | 19.7087i | 0.586113 | + | 0.912010i | 0.999999 | + | 0.00168120i | \(0.000535142\pi\) |
−0.413885 | + | 0.910329i | \(0.635828\pi\) | |||||||
\(468\) | 8.63112 | + | 10.6562i | 0.398974 | + | 0.492584i | ||||
\(469\) | −4.61230 | − | 5.32288i | −0.212976 | − | 0.245788i | ||||
\(470\) | −4.96600 | + | 19.3020i | −0.229064 | + | 0.890334i | ||||
\(471\) | −21.8968 | − | 22.6364i | −1.00895 | − | 1.04303i | ||||
\(472\) | 5.21496 | + | 0.749798i | 0.240038 | + | 0.0345122i | ||||
\(473\) | −3.57832 | − | 2.29965i | −0.164532 | − | 0.105738i | ||||
\(474\) | −0.285211 | − | 5.20002i | −0.0131002 | − | 0.238845i | ||||
\(475\) | −0.951231 | + | 1.72627i | −0.0436455 | + | 0.0792067i | ||||
\(476\) | 3.80750 | + | 5.92458i | 0.174516 | + | 0.271553i | ||||
\(477\) | 4.59110 | + | 0.152541i | 0.210212 | + | 0.00698438i | ||||
\(478\) | 12.4756 | + | 10.8101i | 0.570619 | + | 0.494444i | ||||
\(479\) | 39.1601 | − | 11.4984i | 1.78927 | − | 0.525377i | 0.792811 | − | 0.609467i | \(-0.208617\pi\) |
0.996458 | + | 0.0840904i | \(0.0267984\pi\) | |||||||
\(480\) | −2.69118 | + | 2.78524i | −0.122835 | + | 0.127128i | ||||
\(481\) | −30.9490 | + | 4.44979i | −1.41115 | + | 0.202893i | ||||
\(482\) | 8.62596i | 0.392902i | ||||||||
\(483\) | 6.30179 | − | 7.02780i | 0.286741 | − | 0.319776i | ||||
\(484\) | −10.1651 | −0.462052 | ||||||||
\(485\) | 32.6483 | − | 16.2643i | 1.48248 | − | 0.738524i | ||||
\(486\) | −13.0149 | − | 8.57974i | −0.590369 | − | 0.389185i | ||||
\(487\) | 3.42982 | + | 11.6809i | 0.155420 | + | 0.529312i | 0.999981 | − | 0.00614729i | \(-0.00195675\pi\) |
−0.844561 | + | 0.535459i | \(0.820139\pi\) | |||||||
\(488\) | −5.57318 | − | 4.82919i | −0.252286 | − | 0.218607i | ||||
\(489\) | 15.7956 | + | 21.8474i | 0.714300 | + | 0.987976i | ||||
\(490\) | 9.92393 | + | 8.02866i | 0.448318 | + | 0.362698i | ||||
\(491\) | −4.58738 | + | 2.09498i | −0.207025 | + | 0.0945453i | −0.516229 | − | 0.856450i | \(-0.672665\pi\) |
0.309204 | + | 0.950996i | \(0.399937\pi\) | |||||||
\(492\) | −0.954654 | − | 17.4054i | −0.0430391 | − | 0.784696i | ||||
\(493\) | 52.8635 | + | 33.9733i | 2.38085 | + | 1.53008i | ||||
\(494\) | 0.256439 | − | 1.78357i | 0.0115377 | − | 0.0802467i | ||||
\(495\) | 2.54939 | + | 5.57400i | 0.114586 | + | 0.250532i | ||||
\(496\) | 7.52841 | + | 4.83822i | 0.338036 | + | 0.217242i | ||||
\(497\) | 8.31993 | − | 7.20926i | 0.373200 | − | 0.323380i | ||||
\(498\) | −4.17732 | + | 17.7763i | −0.187190 | + | 0.796575i | ||||
\(499\) | −29.3886 | + | 18.8869i | −1.31562 | + | 0.845495i | −0.994820 | − | 0.101653i | \(-0.967587\pi\) |
−0.320796 | + | 0.947148i | \(0.603950\pi\) | |||||||
\(500\) | 6.96510 | + | 8.74571i | 0.311489 | + | 0.391120i | ||||
\(501\) | −2.27312 | − | 11.3539i | −0.101555 | − | 0.507256i | ||||
\(502\) | −24.1647 | + | 7.09539i | −1.07852 | + | 0.316683i | ||||
\(503\) | −5.36550 | − | 2.45034i | −0.239236 | − | 0.109255i | 0.292190 | − | 0.956360i | \(-0.405616\pi\) |
−0.531425 | + | 0.847105i | \(0.678343\pi\) | |||||||
\(504\) | 3.14636 | − | 1.31244i | 0.140150 | − | 0.0584608i | ||||
\(505\) | −13.3466 | + | 4.41374i | −0.593914 | + | 0.196409i | ||||
\(506\) | 0.933090 | − | 4.28149i | 0.0414809 | − | 0.190336i | ||||
\(507\) | −8.37505 | + | 10.8089i | −0.371949 | + | 0.480038i | ||||
\(508\) | 14.7504 | − | 2.12078i | 0.654442 | − | 0.0940946i | ||||
\(509\) | 5.65035 | + | 2.58043i | 0.250447 | + | 0.114375i | 0.536683 | − | 0.843784i | \(-0.319677\pi\) |
−0.286236 | + | 0.958159i | \(0.592404\pi\) | |||||||
\(510\) | −1.30089 | + | 23.9672i | −0.0576046 | + | 1.06128i | ||||
\(511\) | −4.49000 | − | 3.89061i | −0.198626 | − | 0.172111i | ||||
\(512\) | 0.959493 | + | 0.281733i | 0.0424040 | + | 0.0124509i | ||||
\(513\) | 0.335189 | + | 2.02071i | 0.0147989 | + | 0.0892167i | ||||
\(514\) | 5.40568 | + | 11.8368i | 0.238434 | + | 0.522098i | ||||
\(515\) | −3.39796 | + | 5.70200i | −0.149732 | + | 0.251260i | ||||
\(516\) | −7.60054 | + | 2.69195i | −0.334595 | + | 0.118506i | ||||
\(517\) | 1.15902 | − | 8.06118i | 0.0509738 | − | 0.354530i | ||||
\(518\) | −1.10622 | + | 7.69396i | −0.0486047 | + | 0.338053i | ||||
\(519\) | 31.7647 | − | 11.2504i | 1.39431 | − | 0.493836i | ||||
\(520\) | −8.78035 | − | 5.23242i | −0.385044 | − | 0.229457i | ||||
\(521\) | −0.259221 | − | 0.567615i | −0.0113567 | − | 0.0248676i | 0.903869 | − | 0.427810i | \(-0.140715\pi\) |
−0.915225 | + | 0.402942i | \(0.867987\pi\) | |||||||
\(522\) | 20.6724 | − | 22.3147i | 0.904806 | − | 0.976689i | ||||
\(523\) | 24.8294 | + | 7.29057i | 1.08571 | + | 0.318794i | 0.775162 | − | 0.631762i | \(-0.217668\pi\) |
0.310551 | + | 0.950557i | \(0.399486\pi\) | |||||||
\(524\) | 0.483156 | + | 0.418657i | 0.0211068 | + | 0.0182891i | ||||
\(525\) | −2.57900 | − | 9.49734i | −0.112557 | − | 0.414498i | ||||
\(526\) | −16.5475 | − | 7.55700i | −0.721506 | − | 0.329501i | ||||
\(527\) | 54.8964 | − | 7.89291i | 2.39132 | − | 0.343820i | ||||
\(528\) | 0.969318 | − | 1.25100i | 0.0421841 | − | 0.0544429i | ||||
\(529\) | −20.9143 | − | 9.57048i | −0.909315 | − | 0.416108i | ||||
\(530\) | −3.25075 | + | 1.07503i | −0.141203 | + | 0.0466963i | ||||
\(531\) | −6.08490 | − | 14.5875i | −0.264062 | − | 0.633045i | ||||
\(532\) | −0.407477 | − | 0.186089i | −0.0176664 | − | 0.00806796i | ||||
\(533\) | 44.1402 | − | 12.9607i | 1.91192 | − | 0.561392i | ||||
\(534\) | −5.38544 | − | 26.8996i | −0.233051 | − | 1.16406i | ||||
\(535\) | 34.9733 | − | 1.18190i | 1.51203 | − | 0.0510980i | ||||
\(536\) | −5.21405 | + | 3.35087i | −0.225213 | + | 0.144735i | ||||
\(537\) | −1.78265 | + | 7.58596i | −0.0769272 | + | 0.327358i | ||||
\(538\) | −7.89000 | + | 6.83672i | −0.340162 | + | 0.294752i | ||||
\(539\) | −4.38802 | − | 2.82001i | −0.189005 | − | 0.121466i | ||||
\(540\) | 11.3124 | + | 2.65155i | 0.486806 | + | 0.114105i | ||||
\(541\) | 0.424572 | − | 2.95296i | 0.0182538 | − | 0.126958i | −0.978657 | − | 0.205501i | \(-0.934118\pi\) |
0.996911 | + | 0.0785430i | \(0.0250268\pi\) | |||||||
\(542\) | −0.725237 | − | 0.466082i | −0.0311516 | − | 0.0200199i | ||||
\(543\) | 1.41796 | + | 25.8525i | 0.0608505 | + | 1.10944i | ||||
\(544\) | 5.63736 | − | 2.57450i | 0.241700 | − | 0.110381i | ||||
\(545\) | 8.57437 | − | 10.5985i | 0.367286 | − | 0.453988i | ||||
\(546\) | 5.27136 | + | 7.29102i | 0.225593 | + | 0.312027i | ||||
\(547\) | 23.2611 | + | 20.1559i | 0.994575 | + | 0.861804i | 0.990406 | − | 0.138187i | \(-0.0441276\pi\) |
0.00416877 | + | 0.999991i | \(0.498673\pi\) | |||||||
\(548\) | −2.99686 | − | 10.2064i | −0.128020 | − | 0.435995i | ||||
\(549\) | −3.87388 | + | 21.7813i | −0.165333 | + | 0.929604i | ||||
\(550\) | −3.21803 | − | 3.24282i | −0.137217 | − | 0.138274i | ||||
\(551\) | −3.99702 | −0.170279 | ||||||||
\(552\) | −5.33226 | − | 6.36922i | −0.226956 | − | 0.271092i | ||||
\(553\) | − | 3.41678i | − | 0.145296i | ||||||
\(554\) | 13.2979 | − | 1.91196i | 0.564976 | − | 0.0812312i | ||||
\(555\) | −18.4083 | + | 19.0518i | −0.781390 | + | 0.808702i | ||||
\(556\) | 9.33625 | − | 2.74137i | 0.395945 | − | 0.116260i | ||||
\(557\) | −8.80579 | − | 7.63026i | −0.373113 | − | 0.323304i | 0.448039 | − | 0.894014i | \(-0.352123\pi\) |
−0.821152 | + | 0.570710i | \(0.806668\pi\) | |||||||
\(558\) | 0.891515 | − | 26.8323i | 0.0377408 | − | 1.13590i | ||||
\(559\) | −11.5046 | − | 17.9015i | −0.486592 | − | 0.757152i | ||||
\(560\) | −1.86307 | + | 1.72792i | −0.0787289 | + | 0.0730178i | ||||
\(561\) | −0.537140 | − | 9.79323i | −0.0226781 | − | 0.413471i | ||||
\(562\) | −11.1314 | − | 7.15375i | −0.469552 | − | 0.301763i | ||||
\(563\) | 8.52409 | + | 1.22558i | 0.359248 | + | 0.0516520i | 0.319576 | − | 0.947561i | \(-0.396460\pi\) |
0.0396719 | + | 0.999213i | \(0.487369\pi\) | |||||||
\(564\) | −10.7336 | − | 11.0962i | −0.451968 | − | 0.467234i | ||||
\(565\) | −21.1101 | − | 5.43120i | −0.888110 | − | 0.228492i | ||||
\(566\) | −19.7477 | − | 22.7900i | −0.830057 | − | 0.957937i | ||||
\(567\) | −8.21780 | − | 6.08823i | −0.345115 | − | 0.255682i | ||||
\(568\) | −5.23757 | − | 8.14982i | −0.219764 | − | 0.341959i | ||||
\(569\) | −2.26547 | − | 0.665201i | −0.0949733 | − | 0.0278867i | 0.233901 | − | 0.972261i | \(-0.424851\pi\) |
−0.328874 | + | 0.944374i | \(0.606669\pi\) | |||||||
\(570\) | −0.754589 | − | 1.32722i | −0.0316063 | − | 0.0555910i | ||||
\(571\) | −3.60250 | − | 12.2690i | −0.150760 | − | 0.513441i | 0.849132 | − | 0.528181i | \(-0.177126\pi\) |
−0.999891 | + | 0.0147407i | \(0.995308\pi\) | |||||||
\(572\) | 3.79918 | + | 1.73503i | 0.158852 | + | 0.0725451i | ||||
\(573\) | 11.9376 | + | 6.77817i | 0.498701 | + | 0.283162i | ||||
\(574\) | − | 11.4366i | − | 0.477354i | ||||||
\(575\) | −20.2270 | + | 12.8789i | −0.843526 | + | 0.537088i | ||||
\(576\) | −0.749146 | − | 2.90496i | −0.0312144 | − | 0.121040i | ||||
\(577\) | 25.2836 | − | 3.63524i | 1.05257 | − | 0.151337i | 0.405755 | − | 0.913982i | \(-0.367009\pi\) |
0.646817 | + | 0.762645i | \(0.276100\pi\) | |||||||
\(578\) | 8.89316 | − | 19.4733i | 0.369907 | − | 0.809983i | ||||
\(579\) | −12.7464 | − | 4.99680i | −0.529722 | − | 0.207660i | ||||
\(580\) | −8.71665 | + | 20.9302i | −0.361939 | + | 0.869079i | ||||
\(581\) | −3.37529 | + | 11.4952i | −0.140030 | + | 0.476900i | ||||
\(582\) | −2.48328 | + | 28.1442i | −0.102935 | + | 1.16661i | ||||
\(583\) | 1.27265 | − | 0.581199i | 0.0527077 | − | 0.0240708i | ||||
\(584\) | −3.95117 | + | 3.42371i | −0.163501 | + | 0.141674i | ||||
\(585\) | 0.0174267 | + | 30.6636i | 0.000720504 | + | 1.26778i | ||||
\(586\) | −7.45012 | − | 1.07117i | −0.307762 | − | 0.0442494i | ||||
\(587\) | −3.99189 | + | 27.7642i | −0.164763 | + | 1.14595i | 0.724740 | + | 0.689022i | \(0.241960\pi\) |
−0.889503 | + | 0.456929i | \(0.848949\pi\) | |||||||
\(588\) | −9.32037 | + | 3.30107i | −0.384365 | + | 0.136134i | ||||
\(589\) | −2.66607 | + | 2.31016i | −0.109853 | + | 0.0951886i | ||||
\(590\) | 8.01117 | + | 8.63777i | 0.329815 | + | 0.355611i | ||||
\(591\) | −0.772022 | + | 8.74968i | −0.0317568 | + | 0.359914i | ||||
\(592\) | 6.56318 | + | 1.92712i | 0.269745 | + | 0.0792043i | ||||
\(593\) | −13.0277 | + | 15.0347i | −0.534982 | + | 0.617402i | −0.957318 | − | 0.289037i | \(-0.906665\pi\) |
0.422336 | + | 0.906439i | \(0.361210\pi\) | |||||||
\(594\) | −4.71293 | − | 0.574114i | −0.193374 | − | 0.0235562i | ||||
\(595\) | −1.71338 | + | 15.6542i | −0.0702418 | + | 0.641758i | ||||
\(596\) | −1.24372 | − | 8.65025i | −0.0509447 | − | 0.354328i | ||||
\(597\) | 16.4289 | + | 12.7297i | 0.672392 | + | 0.520991i | ||||
\(598\) | 13.1441 | − | 17.5445i | 0.537501 | − | 0.717447i | ||||
\(599\) | 27.6371i | 1.12922i | 0.825357 | + | 0.564611i | \(0.190974\pi\) | ||||
−0.825357 | + | 0.564611i | \(0.809026\pi\) | |||||||
\(600\) | −8.59551 | + | 1.05699i | −0.350910 | + | 0.0431516i | ||||
\(601\) | 12.5572 | − | 27.4964i | 0.512219 | − | 1.12160i | −0.460083 | − | 0.887876i | \(-0.652180\pi\) |
0.972302 | − | 0.233727i | \(-0.0750922\pi\) | |||||||
\(602\) | −5.07584 | + | 1.49040i | −0.206876 | + | 0.0607442i | ||||
\(603\) | 16.6477 | + | 8.28156i | 0.677949 | + | 0.337251i | ||||
\(604\) | 2.27441 | + | 0.667826i | 0.0925442 | + | 0.0271734i | ||||
\(605\) | −17.6711 | − | 14.2963i | −0.718432 | − | 0.581226i | ||||
\(606\) | 2.49096 | − | 10.6001i | 0.101188 | − | 0.430600i | ||||
\(607\) | 22.1014 | − | 19.1510i | 0.897069 | − | 0.777315i | −0.0785212 | − | 0.996912i | \(-0.525020\pi\) |
0.975591 | + | 0.219597i | \(0.0704744\pi\) | |||||||
\(608\) | −0.213121 | + | 0.331622i | −0.00864319 | + | 0.0134491i | ||||
\(609\) | 14.3443 | − | 13.8756i | 0.581260 | − | 0.562268i | ||||
\(610\) | −2.89665 | − | 16.2332i | −0.117282 | − | 0.657263i | ||||
\(611\) | 22.0272 | − | 34.2751i | 0.891127 | − | 1.38662i | ||||
\(612\) | −15.2984 | − | 10.5656i | −0.618400 | − | 0.427087i | ||||
\(613\) | 0.700560 | + | 1.53401i | 0.0282953 | + | 0.0619581i | 0.923252 | − | 0.384195i | \(-0.125521\pi\) |
−0.894957 | + | 0.446153i | \(0.852794\pi\) | |||||||
\(614\) | −12.3386 | − | 19.1992i | −0.497944 | − | 0.774816i | ||||
\(615\) | 22.8194 | − | 31.6002i | 0.920167 | − | 1.27424i | ||||
\(616\) | 0.679950 | − | 0.784704i | 0.0273960 | − | 0.0316166i | ||||
\(617\) | 8.90832 | + | 30.3390i | 0.358636 | + | 1.22140i | 0.919366 | + | 0.393402i | \(0.128702\pi\) |
−0.560731 | + | 0.827998i | \(0.689480\pi\) | |||||||
\(618\) | −2.38880 | − | 4.55291i | −0.0960915 | − | 0.183145i | ||||
\(619\) | −11.5292 | + | 1.65765i | −0.463399 | + | 0.0666267i | −0.370060 | − | 0.929008i | \(-0.620663\pi\) |
−0.0933386 | + | 0.995634i | \(0.529754\pi\) | |||||||
\(620\) | 6.28293 | + | 18.9987i | 0.252328 | + | 0.763007i | ||||
\(621\) | −8.21171 | + | 23.5280i | −0.329525 | + | 0.944147i | ||||
\(622\) | − | 7.25627i | − | 0.290950i | ||||||
\(623\) | −2.56147 | − | 17.8154i | −0.102623 | − | 0.713761i | ||||
\(624\) | 7.01090 | − | 3.67845i | 0.280661 | − | 0.147256i | ||||
\(625\) | −0.191839 | + | 24.9993i | −0.00767355 | + | 0.999971i | ||||
\(626\) | 11.7474 | − | 13.5572i | 0.469520 | − | 0.541855i | ||||
\(627\) | 0.365519 | + | 0.505563i | 0.0145974 | + | 0.0201902i | ||||
\(628\) | −15.2966 | + | 9.83055i | −0.610402 | + | 0.392282i | ||||
\(629\) | 38.5610 | − | 17.6102i | 1.53753 | − | 0.702165i | ||||
\(630\) | 7.31545 | + | 2.14350i | 0.291455 | + | 0.0853989i | ||||
\(631\) | 19.1110 | − | 29.7372i | 0.760795 | − | 1.18382i | −0.217390 | − | 0.976085i | \(-0.569754\pi\) |
0.978185 | − | 0.207736i | \(-0.0666094\pi\) | |||||||
\(632\) | −2.97614 | − | 0.427904i | −0.118384 | − | 0.0170211i | ||||
\(633\) | −19.8863 | − | 20.5580i | −0.790410 | − | 0.817107i | ||||
\(634\) | 11.2830 | + | 7.25113i | 0.448104 | + | 0.287979i | ||||
\(635\) | 28.6247 | + | 17.0582i | 1.13594 | + | 0.676933i | ||||
\(636\) | 0.606709 | − | 2.58181i | 0.0240576 | − | 0.102375i | ||||
\(637\) | −14.1078 | − | 21.9522i | −0.558972 | − | 0.869777i | ||||
\(638\) | 2.61014 | − | 8.88931i | 0.103336 | − | 0.351931i | ||||
\(639\) | −12.9445 | + | 26.0213i | −0.512076 | + | 1.02939i | ||||
\(640\) | 1.27175 | + | 1.83920i | 0.0502705 | + | 0.0727006i | ||||
\(641\) | 8.89291 | − | 19.4728i | 0.351249 | − | 0.769128i | −0.648718 | − | 0.761029i | \(-0.724695\pi\) |
0.999967 | − | 0.00809917i | \(-0.00257807\pi\) | |||||||
\(642\) | −13.3836 | + | 23.5711i | −0.528209 | + | 0.930276i | ||||
\(643\) | −0.0334375 | −0.00131865 | −0.000659323 | − | 1.00000i | \(-0.500210\pi\) | ||||
−0.000659323 | 1.00000i | \(0.500210\pi\) | ||||||||
\(644\) | −3.26431 | − | 4.36407i | −0.128632 | − | 0.171969i | ||||
\(645\) | −16.9987 | − | 6.00972i | −0.669325 | − | 0.236633i | ||||
\(646\) | 0.347678 | + | 2.41815i | 0.0136792 | + | 0.0951410i | ||||
\(647\) | 7.02734 | − | 15.3877i | 0.276273 | − | 0.604954i | −0.719732 | − | 0.694252i | \(-0.755735\pi\) |
0.996005 | + | 0.0892983i | \(0.0284624\pi\) | |||||||
\(648\) | −6.33223 | + | 6.39553i | −0.248754 | + | 0.251240i | ||||
\(649\) | −3.63814 | − | 3.15247i | −0.142809 | − | 0.123745i | ||||
\(650\) | −7.90488 | − | 21.4447i | −0.310055 | − | 0.841132i | ||||
\(651\) | 1.54814 | − | 17.5458i | 0.0606766 | − | 0.687675i | ||||
\(652\) | 14.1585 | − | 6.46595i | 0.554488 | − | 0.253226i | ||||
\(653\) | −5.93377 | − | 6.84794i | −0.232206 | − | 0.267980i | 0.627674 | − | 0.778477i | \(-0.284007\pi\) |
−0.859880 | + | 0.510496i | \(0.829462\pi\) | |||||||
\(654\) | 3.52545 | + | 9.95388i | 0.137856 | + | 0.389227i | ||||
\(655\) | 0.251119 | + | 1.40731i | 0.00981204 | + | 0.0549880i | ||||
\(656\) | −9.96168 | − | 1.43227i | −0.388938 | − | 0.0559209i | ||||
\(657\) | 14.8941 | + | 4.91612i | 0.581074 | + | 0.191796i | ||||
\(658\) | −6.63291 | − | 7.65479i | −0.258578 | − | 0.298415i | ||||
\(659\) | −8.20148 | − | 17.9587i | −0.319484 | − | 0.699573i | 0.679948 | − | 0.733260i | \(-0.262002\pi\) |
−0.999432 | + | 0.0336871i | \(0.989275\pi\) | |||||||
\(660\) | 3.44447 | − | 0.811496i | 0.134076 | − | 0.0315874i | ||||
\(661\) | −6.37940 | + | 21.7262i | −0.248130 | + | 0.845053i | 0.737386 | + | 0.675471i | \(0.236060\pi\) |
−0.985516 | + | 0.169582i | \(0.945758\pi\) | |||||||
\(662\) | −10.6386 | + | 12.2776i | −0.413480 | + | 0.477181i | ||||
\(663\) | 17.9081 | − | 45.6820i | 0.695495 | − | 1.77414i | ||||
\(664\) | 9.59000 | + | 4.37960i | 0.372164 | + | 0.169962i | ||||
\(665\) | −0.446643 | − | 0.896573i | −0.0173201 | − | 0.0347676i | ||||
\(666\) | −5.12435 | − | 19.8707i | −0.198564 | − | 0.769972i | ||||
\(667\) | −42.6705 | − | 23.3210i | −1.65221 | − | 0.902992i | ||||
\(668\) | −6.68528 | −0.258661 | ||||||||
\(669\) | −9.13241 | + | 16.0839i | −0.353079 | + | 0.621839i | ||||
\(670\) | −13.7768 | − | 1.50790i | −0.532243 | − | 0.0582551i | ||||
\(671\) | 1.89832 | + | 6.46509i | 0.0732839 | + | 0.249582i | ||||
\(672\) | −0.386387 | − | 1.92996i | −0.0149052 | − | 0.0744497i | ||||
\(673\) | 11.5868 | − | 39.4612i | 0.446640 | − | 1.52112i | −0.361640 | − | 0.932318i | \(-0.617783\pi\) |
0.808280 | − | 0.588798i | \(-0.200399\pi\) | |||||||
\(674\) | 2.00524 | − | 1.28869i | 0.0772390 | − | 0.0496385i | ||||
\(675\) | 15.9363 | + | 20.5192i | 0.613387 | + | 0.789783i | ||||
\(676\) | 5.16985 | + | 5.96632i | 0.198840 | + | 0.229474i | ||||
\(677\) | −3.54764 | + | 5.52023i | −0.136347 | + | 0.212160i | −0.902712 | − | 0.430245i | \(-0.858427\pi\) |
0.766365 | + | 0.642405i | \(0.222063\pi\) | |||||||
\(678\) | 12.1357 | − | 11.7391i | 0.466067 | − | 0.450839i | ||||
\(679\) | −2.63805 | + | 18.3480i | −0.101239 | + | 0.704133i | ||||
\(680\) | 13.4208 | + | 3.45288i | 0.514663 | + | 0.132412i | ||||
\(681\) | −0.683162 | − | 12.4555i | −0.0261788 | − | 0.477297i | ||||
\(682\) | −3.39677 | − | 7.43789i | −0.130069 | − | 0.284812i | ||||
\(683\) | 12.3272 | − | 7.92223i | 0.471688 | − | 0.303136i | −0.283116 | − | 0.959086i | \(-0.591368\pi\) |
0.754804 | + | 0.655950i | \(0.227732\pi\) | |||||||
\(684\) | 1.18195 | + | 0.0392707i | 0.0451929 | + | 0.00150155i | ||||
\(685\) | 9.14452 | − | 21.9576i | 0.349394 | − | 0.838956i | ||||
\(686\) | −13.8568 | + | 4.06872i | −0.529054 | + | 0.155344i | ||||
\(687\) | −22.6878 | + | 11.9037i | −0.865594 | + | 0.454156i | ||||
\(688\) | 0.662515 | + | 4.60789i | 0.0252581 | + | 0.175674i | ||||
\(689\) | 6.99926 | 0.266650 | ||||||||
\(690\) | −0.311921 | − | 18.5716i | −0.0118746 | − | 0.707007i | ||||
\(691\) | −12.8771 | −0.489870 | −0.244935 | − | 0.969540i | \(-0.578767\pi\) | ||||
−0.244935 | + | 0.969540i | \(0.578767\pi\) | |||||||
\(692\) | −2.76882 | − | 19.2576i | −0.105255 | − | 0.732064i | ||||
\(693\) | −3.06681 | − | 0.545443i | −0.116499 | − | 0.0207196i | ||||
\(694\) | −17.1892 | + | 5.04721i | −0.652494 | + | 0.191590i | ||||
\(695\) | 20.0856 | + | 8.36491i | 0.761890 | + | 0.317299i | ||||
\(696\) | −10.2897 | − | 14.2321i | −0.390031 | − | 0.539467i | ||||
\(697\) | −52.4702 | + | 33.7206i | −1.98745 | + | 1.27726i | ||||
\(698\) | 1.94327 | + | 4.25518i | 0.0735540 | + | 0.161061i | ||||
\(699\) | −13.0393 | + | 0.715183i | −0.493193 | + | 0.0270507i | ||||
\(700\) | −5.66890 | + | 0.383592i | −0.214264 | + | 0.0144984i | ||||
\(701\) | 5.60529 | − | 38.9857i | 0.211709 | − | 1.47247i | −0.555739 | − | 0.831357i | \(-0.687564\pi\) |
0.767448 | − | 0.641112i | \(-0.221526\pi\) | |||||||
\(702\) | −20.2538 | − | 12.4071i | −0.764431 | − | 0.468276i | ||||
\(703\) | −1.45780 | + | 2.26838i | −0.0549820 | + | 0.0855536i | ||||
\(704\) | −0.598351 | − | 0.690534i | −0.0225512 | − | 0.0260255i | ||||
\(705\) | −3.05367 | − | 34.3854i | −0.115008 | − | 1.29503i | ||||
\(706\) | −0.171178 | + | 0.110009i | −0.00644235 | + | 0.00414025i | ||||
\(707\) | 2.01270 | − | 6.85462i | 0.0756954 | − | 0.257795i | ||||
\(708\) | −8.94789 | + | 1.79142i | −0.336282 | + | 0.0673255i | ||||
\(709\) | −12.9321 | − | 44.0427i | −0.485676 | − | 1.65406i | −0.729303 | − | 0.684191i | \(-0.760155\pi\) |
0.243627 | − | 0.969869i | \(-0.421663\pi\) | |||||||
\(710\) | 2.35692 | − | 21.5338i | 0.0884535 | − | 0.808148i | ||||
\(711\) | 3.47261 | + | 8.32500i | 0.130233 | + | 0.312212i | ||||
\(712\) | −15.8387 | −0.593580 | ||||||||
\(713\) | −41.9408 | + | 9.10693i | −1.57069 | + | 0.341057i | ||||
\(714\) | −9.64233 | − | 7.47119i | −0.360855 | − | 0.279602i | ||||
\(715\) | 4.16435 | + | 8.35934i | 0.155738 | + | 0.312622i | ||||
\(716\) | 4.09249 | + | 1.86898i | 0.152944 | + | 0.0698470i | ||||
\(717\) | −26.6195 | − | 10.4353i | −0.994124 | − | 0.389714i | ||||
\(718\) | 17.1471 | − | 19.7888i | 0.639923 | − | 0.738510i | ||||
\(719\) | −5.65708 | + | 19.2663i | −0.210974 | + | 0.718510i | 0.784211 | + | 0.620494i | \(0.213068\pi\) |
−0.995185 | + | 0.0980161i | \(0.968750\pi\) | |||||||
\(720\) | 2.78322 | − | 6.10358i | 0.103724 | − | 0.227467i | ||||
\(721\) | −1.40131 | − | 3.06844i | −0.0521875 | − | 0.114275i | ||||
\(722\) | 12.3406 | + | 14.2418i | 0.459269 | + | 0.530025i | ||||
\(723\) | −4.98802 | − | 14.0834i | −0.185507 | − | 0.523766i | ||||
\(724\) | 14.7962 | + | 2.12737i | 0.549897 | + | 0.0790632i | ||||
\(725\) | −44.5893 | + | 24.1260i | −1.65600 | + | 0.896015i | ||||
\(726\) | 16.5963 | − | 5.87807i | 0.615948 | − | 0.218156i | ||||
\(727\) | −2.30834 | − | 2.66397i | −0.0856116 | − | 0.0988010i | 0.711327 | − | 0.702861i | \(-0.248094\pi\) |
−0.796939 | + | 0.604060i | \(0.793549\pi\) | |||||||
\(728\) | 4.72501 | − | 2.15784i | 0.175121 | − | 0.0799749i | ||||
\(729\) | 26.2104 | + | 6.48192i | 0.970755 | + | 0.240071i | ||||
\(730\) | −11.6838 | + | 0.394848i | −0.432438 | + | 0.0146140i | ||||
\(731\) | 21.8039 | + | 18.8932i | 0.806445 | + | 0.698789i | ||||
\(732\) | 11.8917 | + | 4.66175i | 0.439530 | + | 0.172303i | ||||
\(733\) | 18.1318 | − | 39.7032i | 0.669715 | − | 1.46647i | −0.203470 | − | 0.979081i | \(-0.565222\pi\) |
0.873185 | − | 0.487389i | \(-0.162051\pi\) | |||||||
\(734\) | 1.63714 | + | 11.3866i | 0.0604279 | + | 0.420285i | ||||
\(735\) | −20.8452 | − | 7.36958i | −0.768885 | − | 0.271831i | ||||
\(736\) | −4.21008 | + | 2.29679i | −0.155185 | + | 0.0846610i | ||||
\(737\) | 5.66312 | 0.208604 | ||||||||
\(738\) | 11.6234 | + | 27.8653i | 0.427865 | + | 1.02574i | ||||
\(739\) | 13.1449 | − | 28.7834i | 0.483544 | − | 1.05881i | −0.497930 | − | 0.867217i | \(-0.665906\pi\) |
0.981474 | − | 0.191596i | \(-0.0613665\pi\) | |||||||
\(740\) | 8.69912 | + | 12.5806i | 0.319786 | + | 0.462471i | ||||
\(741\) | 0.612683 | + | 3.06028i | 0.0225075 | + | 0.112422i | ||||
\(742\) | 0.490222 | − | 1.66954i | 0.0179966 | − | 0.0612908i | ||||
\(743\) | −0.127897 | − | 0.199011i | −0.00469208 | − | 0.00730102i | 0.838900 | − | 0.544286i | \(-0.183199\pi\) |
−0.843592 | + | 0.536985i | \(0.819563\pi\) | |||||||
\(744\) | −15.0892 | − | 3.54586i | −0.553196 | − | 0.129998i | ||||
\(745\) | 10.0036 | − | 16.7868i | 0.366505 | − | 0.615019i | ||||
\(746\) | 2.35082 | + | 1.51078i | 0.0860695 | + | 0.0553135i | ||||
\(747\) | −3.45909 | − | 31.4384i | −0.126561 | − | 1.15027i | ||||
\(748\) | −5.60499 | − | 0.805875i | −0.204939 | − | 0.0294657i | ||||
\(749\) | −9.61455 | + | 14.9605i | −0.351308 | + | 0.546646i | ||||
\(750\) | −16.4290 | − | 10.2513i | −0.599902 | − | 0.374323i | ||||
\(751\) | −12.8333 | + | 5.86078i | −0.468295 | + | 0.213863i | −0.635564 | − | 0.772048i | \(-0.719232\pi\) |
0.167269 | + | 0.985911i | \(0.446505\pi\) | |||||||
\(752\) | −7.49828 | + | 4.81885i | −0.273434 | + | 0.175725i | ||||
\(753\) | 35.3500 | − | 25.5579i | 1.28823 | − | 0.931380i | ||||
\(754\) | 30.3518 | − | 35.0279i | 1.10535 | − | 1.27564i | ||||
\(755\) | 3.01460 | + | 4.35967i | 0.109712 | + | 0.158665i | ||||
\(756\) | −4.37805 | + | 3.96219i | −0.159228 | + | 0.144104i | ||||
\(757\) | 6.72746 | + | 46.7905i | 0.244514 | + | 1.70063i | 0.628924 | + | 0.777467i | \(0.283496\pi\) |
−0.384410 | + | 0.923162i | \(0.625595\pi\) | |||||||
\(758\) | 0.212282i | 0.00771042i | ||||||||
\(759\) | 0.952376 | + | 7.52984i | 0.0345691 | + | 0.273316i | ||||
\(760\) | −0.836883 | + | 0.276759i | −0.0303569 | + | 0.0100391i | ||||
\(761\) | −0.151958 | + | 0.0218482i | −0.00550846 | + | 0.000791997i | −0.145069 | − | 0.989422i | \(-0.546340\pi\) |
0.139560 | + | 0.990214i | \(0.455431\pi\) | |||||||
\(762\) | −22.8562 | + | 11.9921i | −0.827991 | + | 0.434426i | ||||
\(763\) | 1.95187 | + | 6.64746i | 0.0706625 | + | 0.240654i | ||||
\(764\) | 5.19023 | − | 5.98985i | 0.187776 | − | 0.216705i | ||||
\(765\) | −11.7353 | − | 39.8828i | −0.424290 | − | 1.44197i | ||||
\(766\) | 16.9460 | + | 26.3686i | 0.612285 | + | 0.952735i | ||||
\(767\) | −10.0044 | − | 21.9067i | −0.361240 | − | 0.791004i | ||||
\(768\) | −1.72945 | + | 0.0948572i | −0.0624062 | + | 0.00342286i | ||||
\(769\) | 18.3873 | − | 28.6113i | 0.663064 | − | 1.03175i | −0.332984 | − | 0.942933i | \(-0.608055\pi\) |
0.996048 | − | 0.0888156i | \(-0.0283082\pi\) | |||||||
\(770\) | 2.28563 | − | 0.407848i | 0.0823686 | − | 0.0146978i | ||||
\(771\) | −15.6704 | − | 16.1997i | −0.564356 | − | 0.583419i | ||||
\(772\) | −4.27344 | + | 6.64960i | −0.153804 | + | 0.239324i | ||||
\(773\) | 7.91290 | − | 6.85656i | 0.284607 | − | 0.246613i | −0.500843 | − | 0.865538i | \(-0.666977\pi\) |
0.785451 | + | 0.618924i | \(0.212431\pi\) | |||||||
\(774\) | 10.8525 | − | 8.79014i | 0.390087 | − | 0.315955i | ||||
\(775\) | −15.7976 | + | 41.8637i | −0.567466 | + | 1.50379i | ||||
\(776\) | 15.6514 | + | 4.59567i | 0.561853 | + | 0.164975i | ||||
\(777\) | −2.64299 | − | 13.2014i | −0.0948167 | − | 0.473597i | ||||
\(778\) | −17.4994 | + | 5.13829i | −0.627385 | + | 0.184217i | ||||
\(779\) | 1.64807 | − | 3.60876i | 0.0590481 | − | 0.129297i | ||||
\(780\) | 17.3611 | + | 3.46553i | 0.621628 | + | 0.124086i | ||||
\(781\) | 8.85174i | 0.316740i | ||||||||
\(782\) | −10.3973 | + | 27.8438i | −0.371806 | + | 0.995693i | ||||
\(783\) | −20.8476 | + | 48.3866i | −0.745032 | + | 1.72920i | ||||
\(784\) | 0.812427 | + | 5.65055i | 0.0290152 | + | 0.201805i | ||||
\(785\) | −40.4174 | − | 4.42377i | −1.44256 | − | 0.157891i | ||||
\(786\) | −1.03093 | − | 0.404141i | −0.0367720 | − | 0.0144152i | ||||
\(787\) | 16.1693 | − | 18.6604i | 0.576375 | − | 0.665172i | −0.390446 | − | 0.920626i | \(-0.627679\pi\) |
0.966821 | + | 0.255454i | \(0.0822248\pi\) | |||||||
\(788\) | 4.86583 | + | 1.42874i | 0.173338 | + | 0.0508967i | ||||
\(789\) | 31.3866 | + | 2.76937i | 1.11739 | + | 0.0985923i | ||||
\(790\) | −4.57192 | − | 4.92951i | −0.162662 | − | 0.175384i | ||||
\(791\) | 8.37187 | − | 7.25427i | 0.297669 | − | 0.257932i | ||||
\(792\) | −0.859176 | + | 2.60299i | −0.0305295 | + | 0.0924934i | ||||
\(793\) | −4.79725 | + | 33.3656i | −0.170355 | + | 1.18485i | ||||
\(794\) | 18.2742 | + | 2.62744i | 0.648528 | + | 0.0932442i | ||||
\(795\) | 4.68576 | − | 3.63494i | 0.166187 | − | 0.128918i | ||||
\(796\) | 9.06852 | − | 7.85792i | 0.321425 | − | 0.278517i | ||||
\(797\) | 34.0423 | − | 15.5466i | 1.20584 | − | 0.550690i | 0.291866 | − | 0.956459i | \(-0.405724\pi\) |
0.913975 | + | 0.405770i | \(0.132996\pi\) | |||||||
\(798\) | 0.772884 | + | 0.0681949i | 0.0273598 | + | 0.00241407i | ||||
\(799\) | −15.5626 | + | 53.0013i | −0.550565 | + | 1.87505i | ||||
\(800\) | −0.375828 | + | 4.98586i | −0.0132875 | + | 0.176277i | ||||
\(801\) | 24.3476 | + | 40.8041i | 0.860279 | + | 1.44174i | ||||
\(802\) | 0.104029 | − | 0.227791i | 0.00367339 | − | 0.00804359i | ||||
\(803\) | 4.72838 | − | 0.679839i | 0.166861 | − | 0.0239910i | ||||
\(804\) | 6.57517 | − | 8.48593i | 0.231888 | − | 0.299276i | ||||
\(805\) | 0.462956 | − | 12.1774i | 0.0163170 | − | 0.429198i | ||||
\(806\) | − | 40.9066i | − | 1.44087i | ||||||
\(807\) | 8.92839 | − | 15.7246i | 0.314294 | − | 0.553531i | ||||
\(808\) | −5.71856 | − | 2.61158i | −0.201178 | − | 0.0918751i | ||||
\(809\) | 14.3704 | + | 48.9410i | 0.505236 | + | 1.72067i | 0.677408 | + | 0.735608i | \(0.263103\pi\) |
−0.172172 | + | 0.985067i | \(0.555079\pi\) | |||||||
\(810\) | −20.0026 | + | 2.21234i | −0.702821 | + | 0.0777338i | ||||
\(811\) | 15.6209 | + | 4.58672i | 0.548526 | + | 0.161062i | 0.544241 | − | 0.838929i | \(-0.316818\pi\) |
0.00428497 | + | 0.999991i | \(0.498636\pi\) | |||||||
\(812\) | −6.22943 | − | 9.69319i | −0.218610 | − | 0.340164i | ||||
\(813\) | 1.45359 | + | 0.341585i | 0.0509796 | + | 0.0119799i | ||||
\(814\) | −4.09288 | − | 4.72343i | −0.143455 | − | 0.165556i | ||||
\(815\) | 33.7068 | + | 8.67205i | 1.18070 | + | 0.303769i | ||||
\(816\) | −7.71524 | + | 7.46316i | −0.270087 | + | 0.261263i | ||||
\(817\) | −1.81643 | − | 0.261164i | −0.0635489 | − | 0.00913696i | ||||
\(818\) | −13.3986 | − | 8.61078i | −0.468472 | − | 0.301069i | ||||
\(819\) | −12.8225 | − | 8.85564i | −0.448054 | − | 0.309441i | ||||
\(820\) | −15.3030 | − | 16.5000i | −0.534405 | − | 0.576204i | ||||
\(821\) | −17.1371 | − | 26.6659i | −0.598089 | − | 0.930645i | −0.999889 | − | 0.0149175i | \(-0.995251\pi\) |
0.401799 | − | 0.915728i | \(-0.368385\pi\) | |||||||
\(822\) | 10.7948 | + | 14.9307i | 0.376512 | + | 0.520769i | ||||
\(823\) | 31.0843 | + | 26.9347i | 1.08353 | + | 0.938883i | 0.998347 | − | 0.0574820i | \(-0.0183072\pi\) |
0.0851826 | + | 0.996365i | \(0.472853\pi\) | |||||||
\(824\) | −2.84822 | + | 0.836313i | −0.0992224 | + | 0.0291343i | ||||
\(825\) | 7.12917 | + | 3.43361i | 0.248206 | + | 0.119543i | ||||
\(826\) | −5.92614 | + | 0.852050i | −0.206197 | + | 0.0296466i | ||||
\(827\) | 2.35399i | 0.0818562i | 0.999162 | + | 0.0409281i | \(0.0130315\pi\) | ||||
−0.999162 | + | 0.0409281i | \(0.986969\pi\) | |||||||
\(828\) | 12.3889 | + | 7.31543i | 0.430543 | + | 0.254229i | ||||
\(829\) | 6.73659 | 0.233971 | 0.116986 | − | 0.993134i | \(-0.462677\pi\) | ||||
0.116986 | + | 0.993134i | \(0.462677\pi\) | |||||||
\(830\) | 10.5118 | + | 21.1009i | 0.364869 | + | 0.732422i | ||||
\(831\) | −20.6056 | + | 10.8112i | −0.714800 | + | 0.375038i | ||||
\(832\) | −1.28782 | − | 4.38590i | −0.0446470 | − | 0.152054i | ||||
\(833\) | 26.7376 | + | 23.1682i | 0.926402 | + | 0.802732i | ||||
\(834\) | −13.6578 | + | 9.87451i | −0.472931 | + | 0.341926i | ||||
\(835\) | −11.6217 | − | 9.40218i | −0.402185 | − | 0.325376i | ||||
\(836\) | 0.327635 | − | 0.149626i | 0.0113315 | − | 0.00517492i | ||||
\(837\) | 14.0604 | + | 44.3239i | 0.486000 | + | 1.53206i | ||||
\(838\) | 13.4019 | + | 8.61288i | 0.462961 | + | 0.297527i | ||||
\(839\) | −4.56948 | + | 31.7814i | −0.157756 | + | 1.09722i | 0.745000 | + | 0.667064i | \(0.232449\pi\) |
−0.902756 | + | 0.430152i | \(0.858460\pi\) | |||||||
\(840\) | 2.04260 | − | 3.89845i | 0.0704763 | − | 0.134509i | ||||
\(841\) | −62.0934 | − | 39.9050i | −2.14115 | − | 1.37603i | ||||
\(842\) | −14.0287 | + | 12.1559i | −0.483461 | + | 0.418921i | ||||
\(843\) | 22.3107 | + | 5.24288i | 0.768422 | + | 0.180574i | ||||
\(844\) | −13.8921 | + | 8.92793i | −0.478187 | + | 0.307312i | ||||
\(845\) | 0.596225 | + | 17.6427i | 0.0205108 | + | 0.606928i | ||||
\(846\) | 23.9410 | + | 11.9096i | 0.823107 | + | 0.409462i | ||||
\(847\) | 11.0835 | − | 3.25440i | 0.380833 | − | 0.111823i | ||||
\(848\) | −1.39284 | − | 0.636088i | −0.0478303 | − | 0.0218434i | ||||
\(849\) | 45.4200 | + | 25.7894i | 1.55881 | + | 0.885091i | ||||
\(850\) | 18.4745 | + | 24.8775i | 0.633671 | + | 0.853290i | ||||
\(851\) | −28.7980 | + | 15.7107i | −0.987183 | + | 0.538554i | ||||
\(852\) | 13.2639 | + | 10.2773i | 0.454415 | + | 0.352095i | ||||
\(853\) | 13.5062 | − | 1.94190i | 0.462443 | − | 0.0664893i | 0.0928442 | − | 0.995681i | \(-0.470404\pi\) |
0.369599 | + | 0.929191i | \(0.379495\pi\) | |||||||
\(854\) | 7.62275 | + | 3.48119i | 0.260845 | + | 0.119124i | ||||
\(855\) | 1.99947 | + | 1.73056i | 0.0683804 | + | 0.0591840i | ||||
\(856\) | 11.8271 | + | 10.2482i | 0.404241 | + | 0.350277i | ||||
\(857\) | −53.4127 | − | 15.6834i | −1.82454 | − | 0.535734i | −0.824976 | − | 0.565168i | \(-0.808811\pi\) |
−0.999567 | + | 0.0294339i | \(0.990630\pi\) | |||||||
\(858\) | −7.20611 | − | 0.635826i | −0.246012 | − | 0.0217067i | ||||
\(859\) | −24.1175 | − | 52.8099i | −0.822878 | − | 1.80185i | −0.536988 | − | 0.843590i | \(-0.680438\pi\) |
−0.285890 | − | 0.958262i | \(-0.592289\pi\) | |||||||
\(860\) | −5.32883 | + | 8.94212i | −0.181712 | + | 0.304924i | ||||
\(861\) | 6.61329 | + | 18.6722i | 0.225380 | + | 0.636347i | ||||
\(862\) | 0.991279 | − | 6.89450i | 0.0337631 | − | 0.234827i | ||||
\(863\) | 4.34944 | − | 30.2510i | 0.148057 | − | 1.02976i | −0.771339 | − | 0.636424i | \(-0.780413\pi\) |
0.919396 | − | 0.393333i | \(-0.128678\pi\) | |||||||
\(864\) | 2.90292 | + | 4.30964i | 0.0987594 | + | 0.146617i | ||||
\(865\) | 22.2706 | − | 37.3715i | 0.757222 | − | 1.27067i | ||||
\(866\) | 11.4924 | + | 25.1648i | 0.390527 | + | 0.855134i | ||||
\(867\) | −3.25903 | + | 36.9361i | −0.110682 | + | 1.25441i | ||||
\(868\) | −9.75751 | − | 2.86506i | −0.331192 | − | 0.0972466i | ||||
\(869\) | 2.07626 | + | 1.79909i | 0.0704323 | + | 0.0610299i | ||||
\(870\) | 2.12839 | − | 39.2126i | 0.0721591 | − | 1.32943i | ||||
\(871\) | 25.7710 | + | 11.7692i | 0.873216 | + | 0.398784i | ||||
\(872\) | 6.03462 | − | 0.867648i | 0.204358 | − | 0.0293823i | ||||
\(873\) | −12.2202 | − | 47.3862i | −0.413591 | − | 1.60378i | ||||
\(874\) | −0.401155 | − | 1.84747i | −0.0135693 | − | 0.0624915i | ||||
\(875\) | −10.3943 | − | 7.30591i | −0.351392 | − | 0.246985i | ||||
\(876\) | 4.47118 | − | 7.87459i | 0.151067 | − | 0.266058i | ||||
\(877\) | −30.7409 | − | 14.0389i | −1.03805 | − | 0.474060i | −0.177868 | − | 0.984054i | \(-0.556920\pi\) |
−0.860178 | + | 0.509995i | \(0.829647\pi\) | |||||||
\(878\) | −11.2990 | + | 3.31769i | −0.381323 | + | 0.111967i | ||||
\(879\) | 12.7830 | − | 2.55923i | 0.431160 | − | 0.0863206i | ||||
\(880\) | −0.0690063 | − | 2.04195i | −0.00232620 | − | 0.0688340i | ||||
\(881\) | −0.650801 | + | 0.418244i | −0.0219260 | + | 0.0140910i | −0.551558 | − | 0.834137i | \(-0.685966\pi\) |
0.529632 | + | 0.848228i | \(0.322330\pi\) | |||||||
\(882\) | 13.3082 | − | 10.7791i | 0.448111 | − | 0.362953i | ||||
\(883\) | 18.4893 | − | 16.0211i | 0.622216 | − | 0.539153i | −0.285693 | − | 0.958321i | \(-0.592224\pi\) |
0.907909 | + | 0.419168i | \(0.137678\pi\) | |||||||
\(884\) | −23.8316 | − | 15.3157i | −0.801545 | − | 0.515122i | ||||
\(885\) | −18.0745 | − | 9.47013i | −0.607567 | − | 0.318335i | ||||
\(886\) | 3.81148 | − | 26.5094i | 0.128049 | − | 0.890601i | ||||
\(887\) | −11.6648 | − | 7.49653i | −0.391667 | − | 0.251709i | 0.329955 | − | 0.943997i | \(-0.392966\pi\) |
−0.721621 | + | 0.692288i | \(0.756603\pi\) | |||||||
\(888\) | −11.8299 | + | 0.648847i | −0.396985 | + | 0.0217739i | ||||
\(889\) | −15.4040 | + | 7.03476i | −0.516632 | + | 0.235938i | ||||
\(890\) | −27.5340 | − | 22.2755i | −0.922941 | − | 0.746678i | ||||
\(891\) | 8.02665 | − | 1.78795i | 0.268903 | − | 0.0598984i | ||||
\(892\) | 8.07029 | + | 6.99294i | 0.270213 | + | 0.234141i | ||||
\(893\) | −0.989894 | − | 3.37127i | −0.0331255 | − | 0.112815i | ||||
\(894\) | 7.03266 | + | 13.4038i | 0.235207 | + | 0.448291i | ||||
\(895\) | 4.48586 | + | 9.00471i | 0.149946 | + | 0.300994i | ||||
\(896\) | −1.13637 | −0.0379635 | ||||||||
\(897\) | −11.3147 | + | 36.2450i | −0.377787 | + | 1.21019i | ||||
\(898\) | − | 20.4313i | − | 0.681801i | ||||||
\(899\) | −89.8157 | + | 12.9136i | −2.99552 | + | 0.430691i | ||||
\(900\) | 13.4224 | − | 6.69614i | 0.447414 | − | 0.223205i | ||||
\(901\) | −9.10515 | + | 2.67351i | −0.303337 | + | 0.0890676i | ||||
\(902\) | 6.94962 | + | 6.02188i | 0.231397 | + | 0.200507i | ||||
\(903\) | 7.42535 | − | 5.36848i | 0.247100 | − | 0.178652i | ||||
\(904\) | −5.27027 | − | 8.20070i | −0.175286 | − | 0.272751i | ||||
\(905\) | 22.7298 | + | 24.5076i | 0.755564 | + | 0.814661i | ||||
\(906\) | −4.09953 | + | 0.224852i | −0.136198 | + | 0.00747020i | ||||
\(907\) | −19.1321 | − | 12.2955i | −0.635272 | − | 0.408265i | 0.182986 | − | 0.983116i | \(-0.441424\pi\) |
−0.818258 | + | 0.574851i | \(0.805060\pi\) | |||||||
\(908\) | −7.12870 | − | 1.02495i | −0.236574 | − | 0.0340142i | ||||
\(909\) | 2.06267 | + | 18.7469i | 0.0684145 | + | 0.621795i | ||||
\(910\) | 11.2488 | + | 2.89407i | 0.372893 | + | 0.0959375i | ||||
\(911\) | 10.0730 | + | 11.6248i | 0.333732 | + | 0.385147i | 0.897669 | − | 0.440671i | \(-0.145259\pi\) |
−0.563937 | + | 0.825818i | \(0.690714\pi\) | |||||||
\(912\) | 0.156193 | − | 0.664669i | 0.00517207 | − | 0.0220094i | ||||
\(913\) | −5.20798 | − | 8.10377i | −0.172359 | − | 0.268196i | ||||
\(914\) | −9.59833 | − | 2.81833i | −0.317485 | − | 0.0932219i | ||||
\(915\) | 14.1162 | + | 24.8285i | 0.466669 | + | 0.820804i | ||||
\(916\) | 4.16747 | + | 14.1931i | 0.137697 | + | 0.468953i | ||||
\(917\) | −0.660840 | − | 0.301796i | −0.0218229 | − | 0.00996617i | ||||
\(918\) | 31.0868 | + | 8.40370i | 1.02602 | + | 0.277363i | ||||
\(919\) | 59.0770i | 1.94877i | 0.224883 | + | 0.974386i | \(0.427800\pi\) | ||||
−0.224883 | + | 0.974386i | \(0.572200\pi\) | |||||||
\(920\) | −10.5490 | − | 1.92831i | −0.347791 | − | 0.0635744i | ||||
\(921\) | 31.2469 | + | 24.2111i | 1.02962 | + | 0.797783i | ||||
\(922\) | −16.9236 | + | 2.43324i | −0.557348 | + | 0.0801345i | ||||
\(923\) | −18.3959 | + | 40.2813i | −0.605507 | + | 1.32588i | ||||
\(924\) | −0.656374 | + | 1.67435i | −0.0215931 | + | 0.0550821i | ||||
\(925\) | −2.57076 | + | 34.1045i | −0.0845262 | + | 1.12135i | ||||
\(926\) | −2.25974 | + | 7.69597i | −0.0742597 | + | 0.252905i | ||||
\(927\) | 6.53288 | + | 6.05206i | 0.214568 | + | 0.198776i | ||||
\(928\) | −9.22326 | + | 4.21212i | −0.302768 | + | 0.138270i | ||||
\(929\) | 26.3421 | − | 22.8255i | 0.864255 | − | 0.748881i | −0.105122 | − | 0.994459i | \(-0.533523\pi\) |
0.969377 | + | 0.245578i | \(0.0789779\pi\) | |||||||
\(930\) | −21.2441 | − | 27.3855i | −0.696622 | − | 0.898007i | ||||
\(931\) | −2.22745 | − | 0.320259i | −0.0730017 | − | 0.0104961i | ||||
\(932\) | −1.07299 | + | 7.46284i | −0.0351471 | + | 0.244453i | ||||
\(933\) | 4.19599 | + | 11.8471i | 0.137371 | + | 0.387857i | ||||
\(934\) | −17.7055 | + | 15.3419i | −0.579343 | + | 0.502004i | ||||
\(935\) | −8.61033 | − | 9.28379i | −0.281588 | − | 0.303612i | ||||
\(936\) | −9.31942 | + | 10.0598i | −0.304615 | + | 0.328815i | ||||
\(937\) | 32.7334 | + | 9.61140i | 1.06935 | + | 0.313991i | 0.768612 | − | 0.639715i | \(-0.220948\pi\) |
0.300742 | + | 0.953706i | \(0.402766\pi\) | |||||||
\(938\) | 4.61230 | − | 5.32288i | 0.150597 | − | 0.173798i | ||||
\(939\) | −11.3401 | + | 28.9275i | −0.370069 | + | 0.944013i | ||||
\(940\) | −19.8122 | − | 2.16849i | −0.646204 | − | 0.0707284i | ||||
\(941\) | −1.68379 | − | 11.7110i | −0.0548901 | − | 0.381769i | −0.998686 | − | 0.0512410i | \(-0.983682\pi\) |
0.943796 | − | 0.330528i | \(-0.107227\pi\) | |||||||
\(942\) | 19.2898 | − | 24.8955i | 0.628495 | − | 0.811138i | ||||
\(943\) | 38.6498 | − | 28.9099i | 1.25861 | − | 0.941436i | ||||
\(944\) | 5.26859i | 0.171478i | ||||||||
\(945\) | −13.1832 | + | 0.730590i | −0.428850 | + | 0.0237661i | ||||
\(946\) | 1.76699 | − | 3.86918i | 0.0574499 | − | 0.125798i | ||||
\(947\) | 9.93189 | − | 2.91627i | 0.322743 | − | 0.0947659i | −0.116348 | − | 0.993209i | \(-0.537119\pi\) |
0.439091 | + | 0.898443i | \(0.355301\pi\) | |||||||
\(948\) | 5.10650 | − | 1.02235i | 0.165851 | − | 0.0332043i | ||||
\(949\) | 22.9301 | + | 6.73290i | 0.744344 | + | 0.218559i | ||||
\(950\) | −1.84407 | − | 0.695875i | −0.0598296 | − | 0.0225772i | ||||
\(951\) | −22.6144 | − | 5.31425i | −0.733323 | − | 0.172326i | ||||
\(952\) | −5.32242 | + | 4.61190i | −0.172501 | + | 0.149473i | ||||
\(953\) | 6.10662 | − | 9.50209i | 0.197813 | − | 0.307803i | −0.728150 | − | 0.685418i | \(-0.759619\pi\) |
0.925963 | + | 0.377615i | \(0.123256\pi\) | |||||||
\(954\) | 0.502393 | + | 4.56608i | 0.0162656 | + | 0.147832i | ||||
\(955\) | 17.4468 | − | 3.11321i | 0.564566 | − | 0.100741i | ||||
\(956\) | −8.92464 | + | 13.8870i | −0.288644 | + | 0.449138i | ||||
\(957\) | 0.878813 | + | 16.0227i | 0.0284080 | + | 0.517939i | ||||
\(958\) | 16.9545 | + | 37.1251i | 0.547774 | + | 1.19946i | ||||
\(959\) | 6.53521 | + | 10.1690i | 0.211033 | + | 0.328374i | ||||
\(960\) | −3.13989 | − | 2.26740i | −0.101339 | − | 0.0731801i | ||||
\(961\) | −32.1441 | + | 37.0963i | −1.03691 | + | 1.19665i | ||||
\(962\) | −8.80899 | − | 30.0007i | −0.284013 | − | 0.967260i | ||||
\(963\) | 8.22091 | − | 46.2230i | 0.264915 | − | 1.48952i | ||||
\(964\) | −8.53816 | + | 1.22760i | −0.274995 | + | 0.0395384i | ||||
\(965\) | −16.7810 | + | 5.54950i | −0.540198 | + | 0.178645i | ||||
\(966\) | 7.85311 | + | 5.23749i | 0.252670 | + | 0.168513i | ||||
\(967\) | 10.2820i | 0.330648i | 0.986239 | + | 0.165324i | \(0.0528670\pi\) | ||||
−0.986239 | + | 0.165324i | \(0.947133\pi\) | |||||||
\(968\) | −1.44665 | − | 10.0617i | −0.0464971 | − | 0.323394i | ||||
\(969\) | −1.96596 | − | 3.74701i | −0.0631557 | − | 0.120371i | ||||
\(970\) | 20.7451 | + | 30.0013i | 0.666085 | + | 0.963284i | ||||
\(971\) | 4.37615 | − | 5.05034i | 0.140437 | − | 0.162073i | −0.681174 | − | 0.732122i | \(-0.738530\pi\) |
0.821611 | + | 0.570049i | \(0.193076\pi\) | |||||||
\(972\) | 6.64019 | − | 14.1035i | 0.212984 | − | 0.452369i | ||||
\(973\) | −9.30204 | + | 5.97806i | −0.298210 | + | 0.191648i | ||||
\(974\) | −11.0739 | + | 5.05727i | −0.354830 | + | 0.162046i | ||||
\(975\) | 25.3067 | + | 30.4412i | 0.810462 | + | 0.974898i | ||||
\(976\) | 3.98689 | − | 6.20372i | 0.127617 | − | 0.198576i | ||||
\(977\) | 13.1747 | + | 1.89423i | 0.421495 | + | 0.0606018i | 0.349799 | − | 0.936825i | \(-0.386250\pi\) |
0.0716956 | + | 0.997427i | \(0.477159\pi\) | |||||||
\(978\) | −19.3771 | + | 18.7440i | −0.619612 | + | 0.599367i | ||||
\(979\) | 12.1746 | + | 7.82412i | 0.389101 | + | 0.250060i | ||||
\(980\) | −6.53462 | + | 10.9655i | −0.208741 | + | 0.350281i | ||||
\(981\) | −11.5118 | − | 14.2128i | −0.367544 | − | 0.453780i | ||||
\(982\) | −2.72651 | − | 4.24254i | −0.0870065 | − | 0.135385i | ||||
\(983\) | 10.7746 | − | 36.6949i | 0.343656 | − | 1.17039i | −0.588551 | − | 0.808460i | \(-0.700301\pi\) |
0.932207 | − | 0.361925i | \(-0.117880\pi\) | |||||||
\(984\) | 17.0924 | − | 3.42198i | 0.544885 | − | 0.109089i | ||||
\(985\) | 6.44939 | + | 9.32703i | 0.205495 | + | 0.297184i | ||||
\(986\) | −26.1043 | + | 57.1603i | −0.831329 | + | 1.82036i | ||||
\(987\) | 15.2558 | + | 8.66223i | 0.485598 | + | 0.275722i | ||||
\(988\) | 1.80191 | 0.0573265 | ||||||||
\(989\) | −17.8677 | − | 13.3862i | −0.568161 | − | 0.425657i | ||||
\(990\) | −5.15444 | + | 3.31670i | −0.163819 | + | 0.105412i | ||||
\(991\) | −0.955695 | − | 6.64700i | −0.0303587 | − | 0.211149i | 0.968996 | − | 0.247078i | \(-0.0794702\pi\) |
−0.999354 | + | 0.0359285i | \(0.988561\pi\) | |||||||
\(992\) | −3.71757 | + | 8.14034i | −0.118033 | + | 0.258456i | ||||
\(993\) | 10.2697 | − | 26.1971i | 0.325899 | − | 0.831338i | ||||
\(994\) | 8.31993 | + | 7.20926i | 0.263892 | + | 0.228664i | ||||
\(995\) | 26.8161 | − | 0.906233i | 0.850128 | − | 0.0287295i | ||||
\(996\) | −18.1899 | − | 1.60497i | −0.576368 | − | 0.0508554i | ||||
\(997\) | −3.18421 | + | 1.45418i | −0.100845 | + | 0.0460544i | −0.465199 | − | 0.885206i | \(-0.654017\pi\) |
0.364354 | + | 0.931261i | \(0.381290\pi\) | |||||||
\(998\) | −22.8771 | − | 26.4016i | −0.724163 | − | 0.835728i | ||||
\(999\) | 19.8567 | + | 29.4791i | 0.628239 | + | 0.932677i |
(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 | 690.2.n.b.89.8 | yes | 240 | |
3.2 | odd | 2 | 690.2.n.a.89.1 | ✓ | 240 | ||
5.4 | even | 2 | 690.2.n.a.89.17 | yes | 240 | ||
15.14 | odd | 2 | inner | 690.2.n.b.89.24 | yes | 240 | |
23.15 | odd | 22 | inner | 690.2.n.b.659.24 | yes | 240 | |
69.38 | even | 22 | 690.2.n.a.659.17 | yes | 240 | ||
115.84 | odd | 22 | 690.2.n.a.659.1 | yes | 240 | ||
345.314 | even | 22 | inner | 690.2.n.b.659.8 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.n.a.89.1 | ✓ | 240 | 3.2 | odd | 2 | ||
690.2.n.a.89.17 | yes | 240 | 5.4 | even | 2 | ||
690.2.n.a.659.1 | yes | 240 | 115.84 | odd | 22 | ||
690.2.n.a.659.17 | yes | 240 | 69.38 | even | 22 | ||
690.2.n.b.89.8 | yes | 240 | 1.1 | even | 1 | trivial | |
690.2.n.b.89.24 | yes | 240 | 15.14 | odd | 2 | inner | |
690.2.n.b.659.8 | yes | 240 | 345.314 | even | 22 | inner | |
690.2.n.b.659.24 | yes | 240 | 23.15 | odd | 22 | inner |