Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,2,Mod(4,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.e (of order \(7\), degree \(6\), 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: | \(0.343356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{14})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 35.1 | ||
Root | \(0.900969 - 0.433884i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 43.35 |
Dual form | 43.2.e.a.16.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{3}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0990311 | + | 0.433884i | −0.0700256 | + | 0.306802i | −0.997797 | − | 0.0663480i | \(-0.978865\pi\) |
0.927771 | + | 0.373150i | \(0.121722\pi\) | |||||||
\(3\) | −0.400969 | − | 1.75676i | −0.231499 | − | 1.01427i | −0.948397 | − | 0.317087i | \(-0.897295\pi\) |
0.716897 | − | 0.697179i | \(-0.245562\pi\) | |||||||
\(4\) | 1.62349 | + | 0.781831i | 0.811745 | + | 0.390916i | ||||
\(5\) | −0.500000 | + | 0.626980i | −0.223607 | + | 0.280394i | −0.880962 | − | 0.473187i | \(-0.843104\pi\) |
0.657355 | + | 0.753581i | \(0.271675\pi\) | |||||||
\(6\) | 0.801938 | 0.327390 | ||||||||
\(7\) | −3.04892 | −1.15238 | −0.576191 | − | 0.817315i | \(-0.695462\pi\) | ||||
−0.576191 | + | 0.817315i | \(0.695462\pi\) | |||||||
\(8\) | −1.05496 | + | 1.32288i | −0.372984 | + | 0.467707i | ||||
\(9\) | −0.222521 | + | 0.107160i | −0.0741736 | + | 0.0357201i | ||||
\(10\) | −0.222521 | − | 0.279032i | −0.0703673 | − | 0.0882378i | ||||
\(11\) | −4.77144 | + | 2.29780i | −1.43864 | + | 0.692814i | −0.980582 | − | 0.196107i | \(-0.937170\pi\) |
−0.458060 | + | 0.888921i | \(0.651456\pi\) | |||||||
\(12\) | 0.722521 | − | 3.16557i | 0.208574 | − | 0.913822i | ||||
\(13\) | 2.46950 | − | 3.09666i | 0.684916 | − | 0.858858i | −0.310880 | − | 0.950449i | \(-0.600624\pi\) |
0.995797 | + | 0.0915912i | \(0.0291953\pi\) | |||||||
\(14\) | 0.301938 | − | 1.32288i | 0.0806963 | − | 0.353553i | ||||
\(15\) | 1.30194 | + | 0.626980i | 0.336159 | + | 0.161886i | ||||
\(16\) | 1.77748 | + | 2.22889i | 0.444370 | + | 0.557222i | ||||
\(17\) | −0.554958 | − | 0.695895i | −0.134597 | − | 0.168779i | 0.709965 | − | 0.704237i | \(-0.248711\pi\) |
−0.844562 | + | 0.535457i | \(0.820139\pi\) | |||||||
\(18\) | −0.0244587 | − | 0.107160i | −0.00576496 | − | 0.0252580i | ||||
\(19\) | 2.48039 | + | 1.19449i | 0.569039 | + | 0.274035i | 0.696201 | − | 0.717847i | \(-0.254872\pi\) |
−0.127161 | + | 0.991882i | \(0.540587\pi\) | |||||||
\(20\) | −1.30194 | + | 0.626980i | −0.291122 | + | 0.140197i | ||||
\(21\) | 1.22252 | + | 5.35621i | 0.266776 | + | 1.16882i | ||||
\(22\) | −0.524459 | − | 2.29780i | −0.111815 | − | 0.489893i | ||||
\(23\) | 3.94989 | − | 1.90216i | 0.823608 | − | 0.396629i | 0.0258941 | − | 0.999665i | \(-0.491757\pi\) |
0.797714 | + | 0.603036i | \(0.206042\pi\) | |||||||
\(24\) | 2.74698 | + | 1.32288i | 0.560725 | + | 0.270031i | ||||
\(25\) | 0.969501 | + | 4.24766i | 0.193900 | + | 0.849532i | ||||
\(26\) | 1.09903 | + | 1.37814i | 0.215538 | + | 0.270276i | ||||
\(27\) | −3.09299 | − | 3.87849i | −0.595246 | − | 0.746415i | ||||
\(28\) | −4.94989 | − | 2.38374i | −0.935441 | − | 0.450484i | ||||
\(29\) | 1.33513 | − | 5.84957i | 0.247927 | − | 1.08624i | −0.685670 | − | 0.727912i | \(-0.740491\pi\) |
0.933597 | − | 0.358325i | \(-0.116652\pi\) | |||||||
\(30\) | −0.400969 | + | 0.502799i | −0.0732066 | + | 0.0917981i | ||||
\(31\) | 1.54623 | − | 6.77447i | 0.277711 | − | 1.21673i | −0.622969 | − | 0.782247i | \(-0.714074\pi\) |
0.900679 | − | 0.434484i | \(-0.143069\pi\) | |||||||
\(32\) | −4.19202 | + | 2.01877i | −0.741052 | + | 0.356872i | ||||
\(33\) | 5.94989 | + | 7.46092i | 1.03574 | + | 1.29878i | ||||
\(34\) | 0.356896 | − | 0.171872i | 0.0612071 | − | 0.0294758i | ||||
\(35\) | 1.52446 | − | 1.91161i | 0.257681 | − | 0.323121i | ||||
\(36\) | −0.445042 | −0.0741736 | ||||||||
\(37\) | −3.46681 | −0.569940 | −0.284970 | − | 0.958536i | \(-0.591984\pi\) | ||||
−0.284970 | + | 0.958536i | \(0.591984\pi\) | |||||||
\(38\) | −0.763906 | + | 0.957907i | −0.123922 | + | 0.155393i | ||||
\(39\) | −6.43027 | − | 3.09666i | −1.02967 | − | 0.495862i | ||||
\(40\) | −0.301938 | − | 1.32288i | −0.0477405 | − | 0.209165i | ||||
\(41\) | −1.58211 | + | 6.93166i | −0.247083 | + | 1.08254i | 0.687328 | + | 0.726347i | \(0.258783\pi\) |
−0.934411 | + | 0.356196i | \(0.884074\pi\) | |||||||
\(42\) | −2.44504 | −0.377278 | ||||||||
\(43\) | −4.25786 | + | 4.98704i | −0.649318 | + | 0.760517i | ||||
\(44\) | −9.54288 | −1.43864 | ||||||||
\(45\) | 0.0440730 | − | 0.193096i | 0.00657001 | − | 0.0287851i | ||||
\(46\) | 0.434157 | + | 1.90216i | 0.0640129 | + | 0.280459i | ||||
\(47\) | 8.02930 | + | 3.86671i | 1.17119 | + | 0.564017i | 0.915334 | − | 0.402696i | \(-0.131927\pi\) |
0.255861 | + | 0.966714i | \(0.417641\pi\) | |||||||
\(48\) | 3.20291 | − | 4.01632i | 0.462300 | − | 0.579706i | ||||
\(49\) | 2.29590 | 0.327985 | ||||||||
\(50\) | −1.93900 | −0.274216 | ||||||||
\(51\) | −1.00000 | + | 1.25396i | −0.140028 | + | 0.175590i | ||||
\(52\) | 6.43027 | − | 3.09666i | 0.891718 | − | 0.429429i | ||||
\(53\) | −1.29105 | − | 1.61893i | −0.177340 | − | 0.222377i | 0.685215 | − | 0.728341i | \(-0.259708\pi\) |
−0.862555 | + | 0.505964i | \(0.831137\pi\) | |||||||
\(54\) | 1.98911 | − | 0.957907i | 0.270684 | − | 0.130355i | ||||
\(55\) | 0.945042 | − | 4.14050i | 0.127429 | − | 0.558305i | ||||
\(56\) | 3.21648 | − | 4.03334i | 0.429820 | − | 0.538978i | ||||
\(57\) | 1.10388 | − | 4.83639i | 0.146212 | − | 0.640596i | ||||
\(58\) | 2.40581 | + | 1.15858i | 0.315899 | + | 0.152129i | ||||
\(59\) | −0.538032 | − | 0.674671i | −0.0700458 | − | 0.0878347i | 0.745574 | − | 0.666423i | \(-0.232175\pi\) |
−0.815620 | + | 0.578588i | \(0.803604\pi\) | |||||||
\(60\) | 1.62349 | + | 2.03579i | 0.209592 | + | 0.262820i | ||||
\(61\) | 0.307979 | + | 1.34934i | 0.0394326 | + | 0.172766i | 0.990810 | − | 0.135263i | \(-0.0431879\pi\) |
−0.951377 | + | 0.308029i | \(0.900331\pi\) | |||||||
\(62\) | 2.78621 | + | 1.34177i | 0.353849 | + | 0.170405i | ||||
\(63\) | 0.678448 | − | 0.326723i | 0.0854764 | − | 0.0411633i | ||||
\(64\) | 0.807979 | + | 3.53999i | 0.100997 | + | 0.442498i | ||||
\(65\) | 0.706791 | + | 3.09666i | 0.0876667 | + | 0.384093i | ||||
\(66\) | −3.82640 | + | 1.84270i | −0.470997 | + | 0.226820i | ||||
\(67\) | −6.04892 | − | 2.91301i | −0.738993 | − | 0.355880i | 0.0262212 | − | 0.999656i | \(-0.491653\pi\) |
−0.765214 | + | 0.643776i | \(0.777367\pi\) | |||||||
\(68\) | −0.356896 | − | 1.56366i | −0.0432800 | − | 0.189622i | ||||
\(69\) | −4.92543 | − | 6.17629i | −0.592952 | − | 0.743538i | ||||
\(70\) | 0.678448 | + | 0.850747i | 0.0810900 | + | 0.101684i | ||||
\(71\) | 14.9487 | + | 7.19891i | 1.77408 | + | 0.854353i | 0.963036 | + | 0.269372i | \(0.0868162\pi\) |
0.811047 | + | 0.584981i | \(0.198898\pi\) | |||||||
\(72\) | 0.0929903 | − | 0.407417i | 0.0109590 | − | 0.0480146i | ||||
\(73\) | −7.76540 | + | 9.73750i | −0.908871 | + | 1.13969i | 0.0808571 | + | 0.996726i | \(0.474234\pi\) |
−0.989728 | + | 0.142963i | \(0.954337\pi\) | |||||||
\(74\) | 0.343322 | − | 1.50419i | 0.0399104 | − | 0.174859i | ||||
\(75\) | 7.07338 | − | 3.40636i | 0.816763 | − | 0.393332i | ||||
\(76\) | 3.09299 | + | 3.87849i | 0.354790 | + | 0.444893i | ||||
\(77\) | 14.5477 | − | 7.00581i | 1.65787 | − | 0.798387i | ||||
\(78\) | 1.98039 | − | 2.48333i | 0.224235 | − | 0.281181i | ||||
\(79\) | −7.85086 | −0.883290 | −0.441645 | − | 0.897190i | \(-0.645605\pi\) | ||||
−0.441645 | + | 0.897190i | \(0.645605\pi\) | |||||||
\(80\) | −2.28621 | −0.255606 | ||||||||
\(81\) | −6.03534 | + | 7.56808i | −0.670594 | + | 0.840898i | ||||
\(82\) | −2.85086 | − | 1.37290i | −0.314824 | − | 0.151611i | ||||
\(83\) | −1.63922 | − | 7.18189i | −0.179928 | − | 0.788315i | −0.981661 | − | 0.190633i | \(-0.938946\pi\) |
0.801734 | − | 0.597681i | \(-0.203911\pi\) | |||||||
\(84\) | −2.20291 | + | 9.65156i | −0.240357 | + | 1.05307i | ||||
\(85\) | 0.713792 | 0.0774216 | ||||||||
\(86\) | −1.74214 | − | 2.34129i | −0.187859 | − | 0.252468i | ||||
\(87\) | −10.8116 | −1.15913 | ||||||||
\(88\) | 1.99396 | − | 8.73611i | 0.212557 | − | 0.931272i | ||||
\(89\) | −3.13922 | − | 13.7538i | −0.332757 | − | 1.45790i | −0.813769 | − | 0.581188i | \(-0.802588\pi\) |
0.481013 | − | 0.876714i | \(-0.340269\pi\) | |||||||
\(90\) | 0.0794168 | + | 0.0382451i | 0.00837127 | + | 0.00403139i | ||||
\(91\) | −7.52930 | + | 9.44145i | −0.789285 | + | 0.989733i | ||||
\(92\) | 7.89977 | 0.823608 | ||||||||
\(93\) | −12.5211 | −1.29838 | ||||||||
\(94\) | −2.47285 | + | 3.10086i | −0.255055 | + | 0.319829i | ||||
\(95\) | −1.98911 | + | 0.957907i | −0.204079 | + | 0.0982792i | ||||
\(96\) | 5.22737 | + | 6.55491i | 0.533516 | + | 0.669008i | ||||
\(97\) | 8.44989 | − | 4.06925i | 0.857956 | − | 0.413170i | 0.0474314 | − | 0.998874i | \(-0.484896\pi\) |
0.810525 | + | 0.585705i | \(0.199182\pi\) | |||||||
\(98\) | −0.227365 | + | 0.996152i | −0.0229674 | + | 0.100627i | ||||
\(99\) | 0.815511 | − | 1.02262i | 0.0819620 | − | 0.102777i | ||||
\(100\) | −1.74698 | + | 7.65402i | −0.174698 | + | 0.765402i | ||||
\(101\) | −11.2811 | − | 5.43270i | −1.12251 | − | 0.540574i | −0.221846 | − | 0.975082i | \(-0.571208\pi\) |
−0.900668 | + | 0.434507i | \(0.856922\pi\) | |||||||
\(102\) | −0.445042 | − | 0.558065i | −0.0440657 | − | 0.0552567i | ||||
\(103\) | 2.73341 | + | 3.42758i | 0.269331 | + | 0.337730i | 0.898043 | − | 0.439908i | \(-0.144989\pi\) |
−0.628712 | + | 0.777638i | \(0.716418\pi\) | |||||||
\(104\) | 1.49127 | + | 6.53368i | 0.146231 | + | 0.640680i | ||||
\(105\) | −3.96950 | − | 1.91161i | −0.387384 | − | 0.186554i | ||||
\(106\) | 0.830281 | − | 0.399842i | 0.0806440 | − | 0.0388361i | ||||
\(107\) | −0.143104 | − | 0.626980i | −0.0138344 | − | 0.0606125i | 0.967540 | − | 0.252720i | \(-0.0813250\pi\) |
−0.981374 | + | 0.192107i | \(0.938468\pi\) | |||||||
\(108\) | −1.98911 | − | 8.71488i | −0.191403 | − | 0.838590i | ||||
\(109\) | 1.69202 | − | 0.814835i | 0.162066 | − | 0.0780470i | −0.351092 | − | 0.936341i | \(-0.614190\pi\) |
0.513158 | + | 0.858294i | \(0.328475\pi\) | |||||||
\(110\) | 1.70291 | + | 0.820077i | 0.162366 | + | 0.0781912i | ||||
\(111\) | 1.39008 | + | 6.09035i | 0.131941 | + | 0.578071i | ||||
\(112\) | −5.41939 | − | 6.79570i | −0.512084 | − | 0.642133i | ||||
\(113\) | 7.87382 | + | 9.87346i | 0.740707 | + | 0.928817i | 0.999309 | − | 0.0371669i | \(-0.0118333\pi\) |
−0.258602 | + | 0.965984i | \(0.583262\pi\) | |||||||
\(114\) | 1.98911 | + | 0.957907i | 0.186298 | + | 0.0897162i | ||||
\(115\) | −0.782323 | + | 3.42758i | −0.0729520 | + | 0.319624i | ||||
\(116\) | 6.74094 | − | 8.45287i | 0.625880 | − | 0.784829i | ||||
\(117\) | −0.217677 | + | 0.953703i | −0.0201242 | + | 0.0881699i | ||||
\(118\) | 0.346011 | − | 0.166630i | 0.0318529 | − | 0.0153395i | ||||
\(119\) | 1.69202 | + | 2.12173i | 0.155107 | + | 0.194498i | ||||
\(120\) | −2.20291 | + | 1.06086i | −0.201097 | + | 0.0968432i | ||||
\(121\) | 10.6283 | − | 13.3275i | 0.966212 | − | 1.21159i | ||||
\(122\) | −0.615957 | −0.0557661 | ||||||||
\(123\) | 12.8116 | 1.15519 | ||||||||
\(124\) | 7.80678 | − | 9.78940i | 0.701070 | − | 0.879114i | ||||
\(125\) | −6.76055 | − | 3.25571i | −0.604682 | − | 0.291200i | ||||
\(126\) | 0.0745725 | + | 0.326723i | 0.00664344 | + | 0.0291068i | ||||
\(127\) | −1.60603 | + | 7.03648i | −0.142512 | + | 0.624387i | 0.852335 | + | 0.522997i | \(0.175186\pi\) |
−0.994847 | + | 0.101390i | \(0.967671\pi\) | |||||||
\(128\) | −10.9215 | −0.965337 | ||||||||
\(129\) | 10.4683 | + | 5.48040i | 0.921683 | + | 0.482522i | ||||
\(130\) | −1.41358 | −0.123979 | ||||||||
\(131\) | 2.03199 | − | 8.90274i | 0.177536 | − | 0.777836i | −0.805227 | − | 0.592966i | \(-0.797957\pi\) |
0.982763 | − | 0.184869i | \(-0.0591862\pi\) | |||||||
\(132\) | 3.82640 | + | 16.7645i | 0.333045 | + | 1.45917i | ||||
\(133\) | −7.56249 | − | 3.64190i | −0.655751 | − | 0.315793i | ||||
\(134\) | 1.86294 | − | 2.33605i | 0.160933 | − | 0.201804i | ||||
\(135\) | 3.97823 | 0.342392 | ||||||||
\(136\) | 1.50604 | 0.129142 | ||||||||
\(137\) | −3.79859 | + | 4.76328i | −0.324535 | + | 0.406954i | −0.917157 | − | 0.398527i | \(-0.869522\pi\) |
0.592622 | + | 0.805481i | \(0.298093\pi\) | |||||||
\(138\) | 3.16756 | − | 1.52542i | 0.269641 | − | 0.129852i | ||||
\(139\) | 4.45593 | + | 5.58756i | 0.377947 | + | 0.473930i | 0.934029 | − | 0.357197i | \(-0.116268\pi\) |
−0.556082 | + | 0.831127i | \(0.687696\pi\) | |||||||
\(140\) | 3.96950 | − | 1.91161i | 0.335484 | − | 0.161561i | ||||
\(141\) | 3.57338 | − | 15.6560i | 0.300933 | − | 1.31847i | ||||
\(142\) | −4.60388 | + | 5.77308i | −0.386349 | + | 0.484466i | ||||
\(143\) | −4.66756 | + | 20.4499i | −0.390321 | + | 1.71011i | ||||
\(144\) | −0.634375 | − | 0.305499i | −0.0528646 | − | 0.0254582i | ||||
\(145\) | 3.00000 | + | 3.76188i | 0.249136 | + | 0.312407i | ||||
\(146\) | −3.45593 | − | 4.33360i | −0.286015 | − | 0.358651i | ||||
\(147\) | −0.920583 | − | 4.03334i | −0.0759284 | − | 0.332664i | ||||
\(148\) | −5.62833 | − | 2.71046i | −0.462646 | − | 0.222799i | ||||
\(149\) | 4.00484 | − | 1.92863i | 0.328090 | − | 0.158000i | −0.262586 | − | 0.964909i | \(-0.584575\pi\) |
0.590676 | + | 0.806909i | \(0.298861\pi\) | |||||||
\(150\) | 0.777479 | + | 3.40636i | 0.0634809 | + | 0.278128i | ||||
\(151\) | −3.16003 | − | 13.8450i | −0.257160 | − | 1.12669i | −0.924273 | − | 0.381733i | \(-0.875327\pi\) |
0.667113 | − | 0.744957i | \(-0.267530\pi\) | |||||||
\(152\) | −4.19687 | + | 2.02110i | −0.340411 | + | 0.163933i | ||||
\(153\) | 0.198062 | + | 0.0953818i | 0.0160124 | + | 0.00771116i | ||||
\(154\) | 1.59903 | + | 7.00581i | 0.128854 | + | 0.564545i | ||||
\(155\) | 3.47434 | + | 4.35669i | 0.279066 | + | 0.349938i | ||||
\(156\) | −8.01842 | − | 10.0548i | −0.641987 | − | 0.805027i | ||||
\(157\) | 6.70560 | + | 3.22924i | 0.535165 | + | 0.257722i | 0.681889 | − | 0.731456i | \(-0.261159\pi\) |
−0.146724 | + | 0.989177i | \(0.546873\pi\) | |||||||
\(158\) | 0.777479 | − | 3.40636i | 0.0618529 | − | 0.270995i | ||||
\(159\) | −2.32640 | + | 2.91721i | −0.184495 | + | 0.231350i | ||||
\(160\) | 0.830281 | − | 3.63770i | 0.0656395 | − | 0.287585i | ||||
\(161\) | −12.0429 | + | 5.79954i | −0.949112 | + | 0.457068i | ||||
\(162\) | −2.68598 | − | 3.36811i | −0.211031 | − | 0.264624i | ||||
\(163\) | 3.01573 | − | 1.45230i | 0.236210 | − | 0.113753i | −0.312035 | − | 0.950071i | \(-0.601010\pi\) |
0.548245 | + | 0.836318i | \(0.315296\pi\) | |||||||
\(164\) | −7.98792 | + | 10.0165i | −0.623752 | + | 0.782160i | ||||
\(165\) | −7.65279 | −0.595769 | ||||||||
\(166\) | 3.27844 | 0.254456 | ||||||||
\(167\) | −1.26995 | + | 1.59246i | −0.0982714 | + | 0.123228i | −0.828536 | − | 0.559936i | \(-0.810826\pi\) |
0.730264 | + | 0.683165i | \(0.239397\pi\) | |||||||
\(168\) | −8.37531 | − | 4.03334i | −0.646169 | − | 0.311179i | ||||
\(169\) | −0.598072 | − | 2.62032i | −0.0460055 | − | 0.201563i | ||||
\(170\) | −0.0706876 | + | 0.309703i | −0.00542149 | + | 0.0237531i | ||||
\(171\) | −0.679940 | −0.0519963 | ||||||||
\(172\) | −10.8116 | + | 4.76748i | −0.824379 | + | 0.363517i | ||||
\(173\) | 1.02715 | 0.0780925 | 0.0390463 | − | 0.999237i | \(-0.487568\pi\) | ||||
0.0390463 | + | 0.999237i | \(0.487568\pi\) | |||||||
\(174\) | 1.07069 | − | 4.69099i | 0.0811686 | − | 0.355623i | ||||
\(175\) | −2.95593 | − | 12.9508i | −0.223447 | − | 0.978986i | ||||
\(176\) | −13.6027 | − | 6.55070i | −1.02534 | − | 0.493778i | ||||
\(177\) | −0.969501 | + | 1.21572i | −0.0728721 | + | 0.0913788i | ||||
\(178\) | 6.27844 | 0.470589 | ||||||||
\(179\) | 9.75600 | 0.729198 | 0.364599 | − | 0.931165i | \(-0.381206\pi\) | ||||
0.364599 | + | 0.931165i | \(0.381206\pi\) | |||||||
\(180\) | 0.222521 | − | 0.279032i | 0.0165857 | − | 0.0207978i | ||||
\(181\) | −7.55980 | + | 3.64061i | −0.561916 | + | 0.270604i | −0.693206 | − | 0.720740i | \(-0.743802\pi\) |
0.131290 | + | 0.991344i | \(0.458088\pi\) | |||||||
\(182\) | −3.35086 | − | 4.20184i | −0.248382 | − | 0.311461i | ||||
\(183\) | 2.24698 | − | 1.08209i | 0.166102 | − | 0.0799903i | ||||
\(184\) | −1.65064 | + | 7.23191i | −0.121687 | + | 0.533144i | ||||
\(185\) | 1.73341 | − | 2.17362i | 0.127443 | − | 0.159808i | ||||
\(186\) | 1.23998 | − | 5.43270i | 0.0909197 | − | 0.398345i | ||||
\(187\) | 4.24698 | + | 2.04524i | 0.310570 | + | 0.149563i | ||||
\(188\) | 10.0124 | + | 12.5551i | 0.730228 | + | 0.915677i | ||||
\(189\) | 9.43027 | + | 11.8252i | 0.685951 | + | 0.860156i | ||||
\(190\) | −0.218636 | − | 0.957907i | −0.0158615 | − | 0.0694939i | ||||
\(191\) | 12.3056 | + | 5.92606i | 0.890401 | + | 0.428794i | 0.822413 | − | 0.568892i | \(-0.192628\pi\) |
0.0679884 | + | 0.997686i | \(0.478342\pi\) | |||||||
\(192\) | 5.89493 | − | 2.83885i | 0.425430 | − | 0.204876i | ||||
\(193\) | −0.909698 | − | 3.98565i | −0.0654815 | − | 0.286893i | 0.931576 | − | 0.363546i | \(-0.118434\pi\) |
−0.997058 | + | 0.0766525i | \(0.975577\pi\) | |||||||
\(194\) | 0.928780 | + | 4.06925i | 0.0666825 | + | 0.292155i | ||||
\(195\) | 5.15668 | − | 2.48333i | 0.369277 | − | 0.177835i | ||||
\(196\) | 3.72737 | + | 1.79500i | 0.266240 | + | 0.128215i | ||||
\(197\) | −1.90970 | − | 8.36693i | −0.136060 | − | 0.596119i | −0.996278 | − | 0.0861931i | \(-0.972530\pi\) |
0.860218 | − | 0.509926i | \(-0.170327\pi\) | |||||||
\(198\) | 0.362937 | + | 0.455108i | 0.0257928 | + | 0.0323431i | ||||
\(199\) | −3.55980 | − | 4.46385i | −0.252348 | − | 0.316434i | 0.639481 | − | 0.768807i | \(-0.279149\pi\) |
−0.891829 | + | 0.452373i | \(0.850578\pi\) | |||||||
\(200\) | −6.64191 | − | 3.19857i | −0.469654 | − | 0.226173i | ||||
\(201\) | −2.69202 | + | 11.7945i | −0.189881 | + | 0.831921i | ||||
\(202\) | 3.47434 | − | 4.35669i | 0.244454 | − | 0.306536i | ||||
\(203\) | −4.07069 | + | 17.8348i | −0.285706 | + | 1.25176i | ||||
\(204\) | −2.60388 | + | 1.25396i | −0.182308 | + | 0.0877948i | ||||
\(205\) | −3.55496 | − | 4.45778i | −0.248289 | − | 0.311345i | ||||
\(206\) | −1.75786 | + | 0.846543i | −0.122476 | + | 0.0589814i | ||||
\(207\) | −0.675096 | + | 0.846543i | −0.0469224 | + | 0.0588388i | ||||
\(208\) | 11.2916 | 0.782931 | ||||||||
\(209\) | −14.5797 | −1.00850 | ||||||||
\(210\) | 1.22252 | − | 1.53299i | 0.0843620 | − | 0.105787i | ||||
\(211\) | 17.2594 | + | 8.31167i | 1.18818 | + | 0.572199i | 0.920285 | − | 0.391248i | \(-0.127957\pi\) |
0.267898 | + | 0.963447i | \(0.413671\pi\) | |||||||
\(212\) | −0.830281 | − | 3.63770i | −0.0570240 | − | 0.249838i | ||||
\(213\) | 6.65279 | − | 29.1478i | 0.455842 | − | 1.99717i | ||||
\(214\) | 0.286208 | 0.0195648 | ||||||||
\(215\) | −0.997844 | − | 5.16312i | −0.0680524 | − | 0.352122i | ||||
\(216\) | 8.39373 | 0.571121 | ||||||||
\(217\) | −4.71432 | + | 20.6548i | −0.320029 | + | 1.40214i | ||||
\(218\) | 0.185981 | + | 0.814835i | 0.0125962 | + | 0.0551876i | ||||
\(219\) | 20.2201 | + | 9.73750i | 1.36635 | + | 0.657999i | ||||
\(220\) | 4.77144 | − | 5.98319i | 0.321690 | − | 0.403387i | ||||
\(221\) | −3.52542 | −0.237145 | ||||||||
\(222\) | −2.78017 | −0.186593 | ||||||||
\(223\) | 0.0643513 | − | 0.0806940i | 0.00430928 | − | 0.00540367i | −0.779672 | − | 0.626188i | \(-0.784614\pi\) |
0.783981 | + | 0.620784i | \(0.213186\pi\) | |||||||
\(224\) | 12.7811 | − | 6.15507i | 0.853975 | − | 0.411253i | ||||
\(225\) | −0.670915 | − | 0.841301i | −0.0447277 | − | 0.0560867i | ||||
\(226\) | −5.06369 | + | 2.43854i | −0.336831 | + | 0.162209i | ||||
\(227\) | −2.97166 | + | 13.0197i | −0.197236 | + | 0.864146i | 0.775337 | + | 0.631548i | \(0.217580\pi\) |
−0.972573 | + | 0.232599i | \(0.925277\pi\) | |||||||
\(228\) | 5.57338 | − | 6.98879i | 0.369106 | − | 0.462844i | ||||
\(229\) | 6.31671 | − | 27.6753i | 0.417420 | − | 1.82884i | −0.129409 | − | 0.991591i | \(-0.541308\pi\) |
0.546829 | − | 0.837244i | \(-0.315835\pi\) | |||||||
\(230\) | −1.40970 | − | 0.678875i | −0.0929527 | − | 0.0447637i | ||||
\(231\) | −18.1407 | − | 22.7477i | −1.19357 | − | 1.49669i | ||||
\(232\) | 6.32975 | + | 7.93725i | 0.415568 | + | 0.521106i | ||||
\(233\) | −2.43967 | − | 10.6889i | −0.159828 | − | 0.700251i | −0.989802 | − | 0.142450i | \(-0.954502\pi\) |
0.829974 | − | 0.557802i | \(-0.188355\pi\) | |||||||
\(234\) | −0.392240 | − | 0.188893i | −0.0256415 | − | 0.0123483i | ||||
\(235\) | −6.43900 | + | 3.10086i | −0.420034 | + | 0.202278i | ||||
\(236\) | −0.346011 | − | 1.51597i | −0.0225234 | − | 0.0986814i | ||||
\(237\) | 3.14795 | + | 13.7921i | 0.204481 | + | 0.895891i | ||||
\(238\) | −1.08815 | + | 0.524023i | −0.0705340 | + | 0.0339674i | ||||
\(239\) | −17.4976 | − | 8.42640i | −1.13183 | − | 0.545059i | −0.228300 | − | 0.973591i | \(-0.573317\pi\) |
−0.903527 | + | 0.428532i | \(0.859031\pi\) | |||||||
\(240\) | 0.916698 | + | 4.01632i | 0.0591726 | + | 0.259252i | ||||
\(241\) | −2.17845 | − | 2.73169i | −0.140326 | − | 0.175963i | 0.706702 | − | 0.707511i | \(-0.250182\pi\) |
−0.847028 | + | 0.531548i | \(0.821611\pi\) | |||||||
\(242\) | 4.73005 | + | 5.93130i | 0.304059 | + | 0.381278i | ||||
\(243\) | 2.30678 | + | 1.11089i | 0.147980 | + | 0.0712635i | ||||
\(244\) | −0.554958 | + | 2.43143i | −0.0355276 | + | 0.155656i | ||||
\(245\) | −1.14795 | + | 1.43948i | −0.0733397 | + | 0.0919651i | ||||
\(246\) | −1.26875 | + | 5.55876i | −0.0808925 | + | 0.354413i | ||||
\(247\) | 9.82424 | − | 4.73110i | 0.625101 | − | 0.301033i | ||||
\(248\) | 7.33058 | + | 9.19225i | 0.465492 | + | 0.583709i | ||||
\(249\) | −11.9596 | + | 5.75943i | −0.757907 | + | 0.364989i | ||||
\(250\) | 2.08211 | − | 2.61088i | 0.131684 | − | 0.165126i | ||||
\(251\) | 1.25129 | 0.0789808 | 0.0394904 | − | 0.999220i | \(-0.487427\pi\) | ||||
0.0394904 | + | 0.999220i | \(0.487427\pi\) | |||||||
\(252\) | 1.35690 | 0.0854764 | ||||||||
\(253\) | −14.4758 | + | 18.1521i | −0.910088 | + | 1.14121i | ||||
\(254\) | −2.89397 | − | 1.39366i | −0.181584 | − | 0.0874461i | ||||
\(255\) | −0.286208 | − | 1.25396i | −0.0179231 | − | 0.0785260i | ||||
\(256\) | −0.534384 | + | 2.34129i | −0.0333990 | + | 0.146331i | ||||
\(257\) | −7.74094 | −0.482866 | −0.241433 | − | 0.970417i | \(-0.577617\pi\) | ||||
−0.241433 | + | 0.970417i | \(0.577617\pi\) | |||||||
\(258\) | −3.41454 | + | 3.99930i | −0.212580 | + | 0.248985i | ||||
\(259\) | 10.5700 | 0.656789 | ||||||||
\(260\) | −1.27359 | + | 5.57998i | −0.0789850 | + | 0.346056i | ||||
\(261\) | 0.329749 | + | 1.44472i | 0.0204109 | + | 0.0894262i | ||||
\(262\) | 3.66152 | + | 1.76330i | 0.226210 | + | 0.108937i | ||||
\(263\) | 0.797093 | − | 0.999524i | 0.0491509 | − | 0.0616333i | −0.756648 | − | 0.653822i | \(-0.773165\pi\) |
0.805799 | + | 0.592189i | \(0.201736\pi\) | |||||||
\(264\) | −16.1468 | −0.993764 | ||||||||
\(265\) | 1.66056 | 0.102008 | ||||||||
\(266\) | 2.32908 | − | 2.92058i | 0.142805 | − | 0.179072i | ||||
\(267\) | −22.9034 | + | 11.0297i | −1.40167 | + | 0.675007i | ||||
\(268\) | −7.54288 | − | 9.45847i | −0.460755 | − | 0.577768i | ||||
\(269\) | −22.8642 | + | 11.0108i | −1.39405 | + | 0.671341i | −0.971946 | − | 0.235204i | \(-0.924424\pi\) |
−0.422108 | + | 0.906545i | \(0.638710\pi\) | |||||||
\(270\) | −0.393969 | + | 1.72609i | −0.0239762 | + | 0.105046i | ||||
\(271\) | −5.58091 | + | 6.99824i | −0.339016 | + | 0.425113i | −0.921891 | − | 0.387449i | \(-0.873356\pi\) |
0.582875 | + | 0.812562i | \(0.301928\pi\) | |||||||
\(272\) | 0.564647 | − | 2.47388i | 0.0342367 | − | 0.150001i | ||||
\(273\) | 19.6054 | + | 9.44145i | 1.18657 | + | 0.571422i | ||||
\(274\) | −1.69053 | − | 2.11986i | −0.102129 | − | 0.128065i | ||||
\(275\) | −14.3862 | − | 18.0397i | −0.867520 | − | 1.08784i | ||||
\(276\) | −3.16756 | − | 13.8780i | −0.190665 | − | 0.835357i | ||||
\(277\) | 6.03415 | + | 2.90589i | 0.362557 | + | 0.174598i | 0.606289 | − | 0.795244i | \(-0.292657\pi\) |
−0.243732 | + | 0.969843i | \(0.578372\pi\) | |||||||
\(278\) | −2.86563 | + | 1.38001i | −0.171869 | + | 0.0827676i | ||||
\(279\) | 0.381887 | + | 1.67316i | 0.0228630 | + | 0.100169i | ||||
\(280\) | 0.920583 | + | 4.03334i | 0.0550154 | + | 0.241038i | ||||
\(281\) | 20.1516 | − | 9.70450i | 1.20214 | − | 0.578922i | 0.277857 | − | 0.960622i | \(-0.410376\pi\) |
0.924286 | + | 0.381701i | \(0.124661\pi\) | |||||||
\(282\) | 6.43900 | + | 3.10086i | 0.383437 | + | 0.184653i | ||||
\(283\) | −6.49934 | − | 28.4755i | −0.386345 | − | 1.69269i | −0.677099 | − | 0.735892i | \(-0.736763\pi\) |
0.290754 | − | 0.956798i | \(-0.406094\pi\) | |||||||
\(284\) | 18.6407 | + | 23.3747i | 1.10612 | + | 1.38703i | ||||
\(285\) | 2.48039 | + | 3.11031i | 0.146925 | + | 0.184239i | ||||
\(286\) | −8.41066 | − | 4.05036i | −0.497333 | − | 0.239503i | ||||
\(287\) | 4.82371 | − | 21.1340i | 0.284734 | − | 1.24750i | ||||
\(288\) | 0.716480 | − | 0.898438i | 0.0422190 | − | 0.0529409i | ||||
\(289\) | 3.60656 | − | 15.8014i | 0.212151 | − | 0.929493i | ||||
\(290\) | −1.92931 | + | 0.929108i | −0.113293 | + | 0.0545591i | ||||
\(291\) | −10.5368 | − | 13.2128i | −0.617680 | − | 0.774547i | ||||
\(292\) | −20.2201 | + | 9.73750i | −1.18329 | + | 0.569844i | ||||
\(293\) | −6.02177 | + | 7.55106i | −0.351796 | + | 0.441138i | −0.925971 | − | 0.377595i | \(-0.876751\pi\) |
0.574175 | + | 0.818732i | \(0.305323\pi\) | |||||||
\(294\) | 1.84117 | 0.107379 | ||||||||
\(295\) | 0.692021 | 0.0402910 | ||||||||
\(296\) | 3.65734 | − | 4.58616i | 0.212579 | − | 0.266565i | ||||
\(297\) | 23.6700 | + | 11.3989i | 1.37347 | + | 0.661430i | ||||
\(298\) | 0.440198 | + | 1.92863i | 0.0255000 | + | 0.111723i | ||||
\(299\) | 3.86390 | − | 16.9288i | 0.223455 | − | 0.979020i | ||||
\(300\) | 14.1468 | 0.816763 | ||||||||
\(301\) | 12.9819 | − | 15.2051i | 0.748263 | − | 0.876406i | ||||
\(302\) | 6.32006 | 0.363679 | ||||||||
\(303\) | −5.02057 | + | 21.9966i | −0.288424 | + | 1.26367i | ||||
\(304\) | 1.74645 | + | 7.65168i | 0.100166 | + | 0.438854i | ||||
\(305\) | −1.00000 | − | 0.481575i | −0.0572598 | − | 0.0275749i | ||||
\(306\) | −0.0609989 | + | 0.0764902i | −0.00348708 | + | 0.00437266i | ||||
\(307\) | −12.9855 | −0.741123 | −0.370562 | − | 0.928808i | \(-0.620835\pi\) | ||||
−0.370562 | + | 0.928808i | \(0.620835\pi\) | |||||||
\(308\) | 29.0954 | 1.65787 | ||||||||
\(309\) | 4.92543 | − | 6.17629i | 0.280198 | − | 0.351357i | ||||
\(310\) | −2.23437 | + | 1.07601i | −0.126903 | + | 0.0611135i | ||||
\(311\) | −3.68933 | − | 4.62628i | −0.209203 | − | 0.262332i | 0.666149 | − | 0.745819i | \(-0.267942\pi\) |
−0.875352 | + | 0.483487i | \(0.839370\pi\) | |||||||
\(312\) | 10.8802 | − | 5.23961i | 0.615968 | − | 0.296634i | ||||
\(313\) | −4.57673 | + | 20.0520i | −0.258692 | + | 1.13340i | 0.663959 | + | 0.747769i | \(0.268875\pi\) |
−0.922651 | + | 0.385635i | \(0.873982\pi\) | |||||||
\(314\) | −2.06518 | + | 2.58965i | −0.116545 | + | 0.146143i | ||||
\(315\) | −0.134375 | + | 0.588735i | −0.00757117 | + | 0.0331715i | ||||
\(316\) | −12.7458 | − | 6.13805i | −0.717006 | − | 0.345292i | ||||
\(317\) | 11.4487 | + | 14.3562i | 0.643022 | + | 0.806325i | 0.991377 | − | 0.131038i | \(-0.0418310\pi\) |
−0.348355 | + | 0.937363i | \(0.613260\pi\) | |||||||
\(318\) | −1.03534 | − | 1.29828i | −0.0580592 | − | 0.0728039i | ||||
\(319\) | 7.07069 | + | 30.9787i | 0.395883 | + | 1.73447i | ||||
\(320\) | −2.62349 | − | 1.26341i | −0.146658 | − | 0.0706265i | ||||
\(321\) | −1.04407 | + | 0.502799i | −0.0582745 | + | 0.0280635i | ||||
\(322\) | −1.32371 | − | 5.79954i | −0.0737674 | − | 0.323196i | ||||
\(323\) | −0.545269 | − | 2.38898i | −0.0303396 | − | 0.132926i | ||||
\(324\) | −15.7153 | + | 7.56808i | −0.873071 | + | 0.420449i | ||||
\(325\) | 15.5477 | + | 7.48739i | 0.862432 | + | 0.415326i | ||||
\(326\) | 0.331478 | + | 1.45230i | 0.0183589 | + | 0.0804354i | ||||
\(327\) | −2.10992 | − | 2.64575i | −0.116679 | − | 0.146310i | ||||
\(328\) | −7.50066 | − | 9.40554i | −0.414155 | − | 0.519334i | ||||
\(329\) | −24.4807 | − | 11.7893i | −1.34966 | − | 0.649964i | ||||
\(330\) | 0.757865 | − | 3.32042i | 0.0417191 | − | 0.182783i | ||||
\(331\) | 1.02781 | − | 1.28883i | 0.0564936 | − | 0.0708407i | −0.752782 | − | 0.658270i | \(-0.771289\pi\) |
0.809276 | + | 0.587429i | \(0.199860\pi\) | |||||||
\(332\) | 2.95377 | − | 12.9413i | 0.162109 | − | 0.710247i | ||||
\(333\) | 0.771438 | − | 0.371505i | 0.0422746 | − | 0.0203584i | ||||
\(334\) | −0.565179 | − | 0.708712i | −0.0309252 | − | 0.0387790i | ||||
\(335\) | 4.85086 | − | 2.33605i | 0.265031 | − | 0.127632i | ||||
\(336\) | −9.76540 | + | 12.2454i | −0.532746 | + | 0.668042i | ||||
\(337\) | 29.1444 | 1.58759 | 0.793797 | − | 0.608183i | \(-0.208101\pi\) | ||||
0.793797 | + | 0.608183i | \(0.208101\pi\) | |||||||
\(338\) | 1.19614 | 0.0650616 | ||||||||
\(339\) | 14.1881 | − | 17.7914i | 0.770594 | − | 0.966294i | ||||
\(340\) | 1.15883 | + | 0.558065i | 0.0628466 | + | 0.0302653i | ||||
\(341\) | 8.18867 | + | 35.8769i | 0.443441 | + | 1.94284i | ||||
\(342\) | 0.0673352 | − | 0.295015i | 0.00364107 | − | 0.0159526i | ||||
\(343\) | 14.3424 | 0.774418 | ||||||||
\(344\) | −2.10537 | − | 10.8937i | −0.113514 | − | 0.587351i | ||||
\(345\) | 6.33513 | 0.341072 | ||||||||
\(346\) | −0.101720 | + | 0.445662i | −0.00546848 | + | 0.0239590i | ||||
\(347\) | 5.60992 | + | 24.5786i | 0.301156 | + | 1.31945i | 0.868385 | + | 0.495891i | \(0.165158\pi\) |
−0.567229 | + | 0.823560i | \(0.691984\pi\) | |||||||
\(348\) | −17.5526 | − | 8.45287i | −0.940916 | − | 0.453121i | ||||
\(349\) | 0.163014 | − | 0.204413i | 0.00872594 | − | 0.0109420i | −0.777449 | − | 0.628946i | \(-0.783487\pi\) |
0.786175 | + | 0.618004i | \(0.212058\pi\) | |||||||
\(350\) | 5.91185 | 0.316002 | ||||||||
\(351\) | −19.6485 | −1.04876 | ||||||||
\(352\) | 15.3632 | − | 19.2649i | 0.818863 | − | 1.02682i | ||||
\(353\) | 12.8714 | − | 6.19855i | 0.685077 | − | 0.329916i | −0.0587644 | − | 0.998272i | \(-0.518716\pi\) |
0.743841 | + | 0.668356i | \(0.233002\pi\) | |||||||
\(354\) | −0.431468 | − | 0.541044i | −0.0229323 | − | 0.0287562i | ||||
\(355\) | −11.9879 | + | 5.77308i | −0.636253 | + | 0.306403i | ||||
\(356\) | 5.65668 | − | 24.7835i | 0.299803 | − | 1.31352i | ||||
\(357\) | 3.04892 | − | 3.82322i | 0.161366 | − | 0.202346i | ||||
\(358\) | −0.966148 | + | 4.23297i | −0.0510625 | + | 0.223720i | ||||
\(359\) | 0.862937 | + | 0.415568i | 0.0455441 | + | 0.0219329i | 0.456517 | − | 0.889715i | \(-0.349097\pi\) |
−0.410973 | + | 0.911647i | \(0.634811\pi\) | |||||||
\(360\) | 0.208947 | + | 0.262012i | 0.0110125 | + | 0.0138092i | ||||
\(361\) | −7.12080 | − | 8.92920i | −0.374779 | − | 0.469958i | ||||
\(362\) | −0.830945 | − | 3.64061i | −0.0436735 | − | 0.191346i | ||||
\(363\) | −27.6749 | − | 13.3275i | −1.45255 | − | 0.699513i | ||||
\(364\) | −19.6054 | + | 9.44145i | −1.02760 | + | 0.494866i | ||||
\(365\) | −2.22252 | − | 9.73750i | −0.116332 | − | 0.509684i | ||||
\(366\) | 0.246980 | + | 1.08209i | 0.0129098 | + | 0.0565617i | ||||
\(367\) | −11.0930 | + | 5.34210i | −0.579049 | + | 0.278855i | −0.700396 | − | 0.713755i | \(-0.746993\pi\) |
0.121346 | + | 0.992610i | \(0.461279\pi\) | |||||||
\(368\) | 11.2606 | + | 5.42280i | 0.586997 | + | 0.282683i | ||||
\(369\) | −0.390748 | − | 1.71198i | −0.0203415 | − | 0.0891220i | ||||
\(370\) | 0.771438 | + | 0.967353i | 0.0401052 | + | 0.0502903i | ||||
\(371\) | 3.93631 | + | 4.93598i | 0.204363 | + | 0.256263i | ||||
\(372\) | −20.3279 | − | 9.78940i | −1.05395 | − | 0.507556i | ||||
\(373\) | −2.43953 | + | 10.6883i | −0.126314 | + | 0.553419i | 0.871678 | + | 0.490079i | \(0.163032\pi\) |
−0.997992 | + | 0.0633395i | \(0.979825\pi\) | |||||||
\(374\) | −1.30798 | + | 1.64015i | −0.0676340 | + | 0.0848103i | ||||
\(375\) | −3.00873 | + | 13.1821i | −0.155370 | + | 0.680721i | ||||
\(376\) | −13.5858 | + | 6.54255i | −0.700632 | + | 0.337406i | ||||
\(377\) | −14.8170 | − | 18.5799i | −0.763114 | − | 0.956915i | ||||
\(378\) | −6.06465 | + | 2.92058i | −0.311932 | + | 0.150218i | ||||
\(379\) | −6.92609 | + | 8.68504i | −0.355769 | + | 0.446121i | −0.927221 | − | 0.374515i | \(-0.877809\pi\) |
0.571451 | + | 0.820636i | \(0.306381\pi\) | |||||||
\(380\) | −3.97823 | −0.204079 | ||||||||
\(381\) | 13.0054 | 0.666286 | ||||||||
\(382\) | −3.78986 | + | 4.75233i | −0.193906 | + | 0.243150i | ||||
\(383\) | 7.17510 | + | 3.45534i | 0.366630 | + | 0.176560i | 0.608123 | − | 0.793843i | \(-0.291923\pi\) |
−0.241493 | + | 0.970403i | \(0.577637\pi\) | |||||||
\(384\) | 4.37920 | + | 19.1865i | 0.223475 | + | 0.979108i | ||||
\(385\) | −2.88135 | + | 12.6240i | −0.146847 | + | 0.643381i | ||||
\(386\) | 1.81940 | 0.0926048 | ||||||||
\(387\) | 0.413050 | − | 1.56600i | 0.0209965 | − | 0.0796040i | ||||
\(388\) | 16.8998 | 0.857956 | ||||||||
\(389\) | 2.53774 | − | 11.1186i | 0.128668 | − | 0.563733i | −0.868959 | − | 0.494884i | \(-0.835210\pi\) |
0.997627 | − | 0.0688484i | \(-0.0219325\pi\) | |||||||
\(390\) | 0.566803 | + | 2.48333i | 0.0287012 | + | 0.125748i | ||||
\(391\) | −3.51573 | − | 1.69309i | −0.177798 | − | 0.0856230i | ||||
\(392\) | −2.42208 | + | 3.03719i | −0.122333 | + | 0.153401i | ||||
\(393\) | −16.4547 | −0.830031 | ||||||||
\(394\) | 3.81940 | 0.192418 | ||||||||
\(395\) | 3.92543 | − | 4.92233i | 0.197510 | − | 0.247669i | ||||
\(396\) | 2.12349 | − | 1.02262i | 0.106709 | − | 0.0513885i | ||||
\(397\) | −5.92543 | − | 7.43025i | −0.297389 | − | 0.372914i | 0.610578 | − | 0.791956i | \(-0.290937\pi\) |
−0.907967 | + | 0.419043i | \(0.862366\pi\) | |||||||
\(398\) | 2.28932 | − | 1.10248i | 0.114753 | − | 0.0552623i | ||||
\(399\) | −3.36563 | + | 14.7458i | −0.168492 | + | 0.738212i | ||||
\(400\) | −7.74429 | + | 9.71103i | −0.387215 | + | 0.485552i | ||||
\(401\) | −2.41789 | + | 10.5935i | −0.120744 | + | 0.529014i | 0.877989 | + | 0.478681i | \(0.158885\pi\) |
−0.998733 | + | 0.0503321i | \(0.983972\pi\) | |||||||
\(402\) | −4.85086 | − | 2.33605i | −0.241939 | − | 0.116512i | ||||
\(403\) | −17.1598 | − | 21.5177i | −0.854790 | − | 1.07187i | ||||
\(404\) | −14.0673 | − | 17.6399i | −0.699876 | − | 0.877617i | ||||
\(405\) | −1.72737 | − | 7.56808i | −0.0858335 | − | 0.376061i | ||||
\(406\) | −7.33513 | − | 3.53241i | −0.364036 | − | 0.175311i | ||||
\(407\) | 16.5417 | − | 7.96605i | 0.819941 | − | 0.394863i | ||||
\(408\) | −0.603875 | − | 2.64575i | −0.0298963 | − | 0.130984i | ||||
\(409\) | 4.71164 | + | 20.6430i | 0.232975 | + | 1.02073i | 0.947157 | + | 0.320771i | \(0.103942\pi\) |
−0.714181 | + | 0.699961i | \(0.753201\pi\) | |||||||
\(410\) | 2.28621 | − | 1.10098i | 0.112908 | − | 0.0543735i | ||||
\(411\) | 9.89104 | + | 4.76328i | 0.487889 | + | 0.234955i | ||||
\(412\) | 1.75786 | + | 7.70171i | 0.0866038 | + | 0.379436i | ||||
\(413\) | 1.64042 | + | 2.05702i | 0.0807196 | + | 0.101219i | ||||
\(414\) | −0.300446 | − | 0.376747i | −0.0147661 | − | 0.0185161i | ||||
\(415\) | 5.32251 | + | 2.56319i | 0.261272 | + | 0.125822i | ||||
\(416\) | −4.10076 | + | 17.9666i | −0.201056 | + | 0.880885i | ||||
\(417\) | 8.02930 | − | 10.0684i | 0.393197 | − | 0.493053i | ||||
\(418\) | 1.44385 | − | 6.32590i | 0.0706208 | − | 0.309410i | ||||
\(419\) | 28.9279 | − | 13.9309i | 1.41322 | − | 0.680571i | 0.437424 | − | 0.899255i | \(-0.355891\pi\) |
0.975796 | + | 0.218685i | \(0.0701767\pi\) | |||||||
\(420\) | −4.94989 | − | 6.20696i | −0.241530 | − | 0.302869i | ||||
\(421\) | −13.7126 | + | 6.60364i | −0.668311 | + | 0.321842i | −0.737094 | − | 0.675790i | \(-0.763803\pi\) |
0.0687832 | + | 0.997632i | \(0.478088\pi\) | |||||||
\(422\) | −5.31551 | + | 6.66544i | −0.258755 | + | 0.324469i | ||||
\(423\) | −2.20105 | −0.107019 | ||||||||
\(424\) | 3.50365 | 0.170152 | ||||||||
\(425\) | 2.41789 | − | 3.03194i | 0.117285 | − | 0.147071i | ||||
\(426\) | 11.9879 | + | 5.77308i | 0.580817 | + | 0.279707i | ||||
\(427\) | −0.939001 | − | 4.11403i | −0.0454414 | − | 0.199092i | ||||
\(428\) | 0.257865 | − | 1.12978i | 0.0124644 | − | 0.0546099i | ||||
\(429\) | 37.7972 | 1.82486 | ||||||||
\(430\) | 2.33901 | + | 0.0783611i | 0.112797 | + | 0.00377891i | ||||
\(431\) | 37.4819 | 1.80544 | 0.902719 | − | 0.430230i | \(-0.141568\pi\) | ||||
0.902719 | + | 0.430230i | \(0.141568\pi\) | |||||||
\(432\) | 3.14699 | − | 13.7879i | 0.151410 | − | 0.663369i | ||||
\(433\) | −5.11141 | − | 22.3945i | −0.245639 | − | 1.07621i | −0.935793 | − | 0.352551i | \(-0.885314\pi\) |
0.690154 | − | 0.723662i | \(-0.257543\pi\) | |||||||
\(434\) | −8.49492 | − | 4.09094i | −0.407769 | − | 0.196371i | ||||
\(435\) | 5.40581 | − | 6.77868i | 0.259189 | − | 0.325013i | ||||
\(436\) | 3.38404 | 0.162066 | ||||||||
\(437\) | 12.0694 | 0.577356 | ||||||||
\(438\) | −6.22737 | + | 7.80887i | −0.297555 | + | 0.373122i | ||||
\(439\) | −1.31282 | + | 0.632222i | −0.0626576 | + | 0.0301743i | −0.464950 | − | 0.885337i | \(-0.653928\pi\) |
0.402293 | + | 0.915511i | \(0.368213\pi\) | |||||||
\(440\) | 4.48039 | + | 5.61823i | 0.213594 | + | 0.267838i | ||||
\(441\) | −0.510885 | + | 0.246029i | −0.0243279 | + | 0.0117157i | ||||
\(442\) | 0.349126 | − | 1.52962i | 0.0166062 | − | 0.0727567i | ||||
\(443\) | −13.0640 | + | 16.3817i | −0.620689 | + | 0.778319i | −0.988441 | − | 0.151605i | \(-0.951556\pi\) |
0.367753 | + | 0.929924i | \(0.380127\pi\) | |||||||
\(444\) | −2.50484 | + | 10.9744i | −0.118875 | + | 0.520824i | ||||
\(445\) | 10.1930 | + | 4.90868i | 0.483194 | + | 0.232694i | ||||
\(446\) | 0.0286390 | + | 0.0359122i | 0.00135610 | + | 0.00170049i | ||||
\(447\) | −4.99396 | − | 6.26223i | −0.236206 | − | 0.296193i | ||||
\(448\) | −2.46346 | − | 10.7931i | −0.116388 | − | 0.509927i | ||||
\(449\) | −7.87316 | − | 3.79151i | −0.371557 | − | 0.178933i | 0.238781 | − | 0.971073i | \(-0.423252\pi\) |
−0.610338 | + | 0.792141i | \(0.708966\pi\) | |||||||
\(450\) | 0.431468 | − | 0.207784i | 0.0203396 | − | 0.00979504i | ||||
\(451\) | −8.37867 | − | 36.7093i | −0.394536 | − | 1.72858i | ||||
\(452\) | 5.06369 | + | 22.1855i | 0.238176 | + | 1.04352i | ||||
\(453\) | −23.0553 | + | 11.1028i | −1.08323 | + | 0.521656i | ||||
\(454\) | −5.35474 | − | 2.57871i | −0.251310 | − | 0.121025i | ||||
\(455\) | −2.15495 | − | 9.44145i | −0.101026 | − | 0.442622i | ||||
\(456\) | 5.23341 | + | 6.56248i | 0.245077 | + | 0.307316i | ||||
\(457\) | 19.7461 | + | 24.7608i | 0.923683 | + | 1.15826i | 0.987073 | + | 0.160273i | \(0.0512373\pi\) |
−0.0633902 | + | 0.997989i | \(0.520191\pi\) | |||||||
\(458\) | 11.3823 | + | 5.48143i | 0.531861 | + | 0.256131i | ||||
\(459\) | −0.982542 | + | 4.30480i | −0.0458611 | + | 0.200931i | ||||
\(460\) | −3.94989 | + | 4.95300i | −0.184164 | + | 0.230935i | ||||
\(461\) | −7.56010 | + | 33.1230i | −0.352109 | + | 1.54269i | 0.420193 | + | 0.907435i | \(0.361962\pi\) |
−0.772302 | + | 0.635255i | \(0.780895\pi\) | |||||||
\(462\) | 11.6664 | − | 5.61823i | 0.542768 | − | 0.261384i | ||||
\(463\) | −3.99061 | − | 5.00406i | −0.185459 | − | 0.232559i | 0.680407 | − | 0.732835i | \(-0.261803\pi\) |
−0.865866 | + | 0.500276i | \(0.833232\pi\) | |||||||
\(464\) | 15.4112 | − | 7.42164i | 0.715447 | − | 0.344541i | ||||
\(465\) | 6.26055 | − | 7.85049i | 0.290326 | − | 0.364058i | ||||
\(466\) | 4.87933 | 0.226031 | ||||||||
\(467\) | −40.9506 | −1.89497 | −0.947484 | − | 0.319803i | \(-0.896383\pi\) | ||||
−0.947484 | + | 0.319803i | \(0.896383\pi\) | |||||||
\(468\) | −1.09903 | + | 1.37814i | −0.0508027 | + | 0.0637046i | ||||
\(469\) | 18.4426 | + | 8.88151i | 0.851602 | + | 0.410110i | ||||
\(470\) | −0.707751 | − | 3.10086i | −0.0326461 | − | 0.143032i | ||||
\(471\) | 2.98427 | − | 13.0749i | 0.137508 | − | 0.602462i | ||||
\(472\) | 1.46011 | 0.0672069 | ||||||||
\(473\) | 8.85690 | − | 33.5791i | 0.407241 | − | 1.54397i | ||||
\(474\) | −6.29590 | −0.289180 | ||||||||
\(475\) | −2.66905 | + | 11.6939i | −0.122465 | + | 0.536553i | ||||
\(476\) | 1.08815 | + | 4.76748i | 0.0498751 | + | 0.218517i | ||||
\(477\) | 0.460771 | + | 0.221896i | 0.0210973 | + | 0.0101599i | ||||
\(478\) | 5.38889 | − | 6.75745i | 0.246482 | − | 0.309079i | ||||
\(479\) | −19.8495 | −0.906948 | −0.453474 | − | 0.891269i | \(-0.649816\pi\) | ||||
−0.453474 | + | 0.891269i | \(0.649816\pi\) | |||||||
\(480\) | −6.72348 | −0.306883 | ||||||||
\(481\) | −8.56129 | + | 10.7355i | −0.390361 | + | 0.489498i | ||||
\(482\) | 1.40097 | − | 0.674671i | 0.0638124 | − | 0.0307304i | ||||
\(483\) | 15.0172 | + | 18.8310i | 0.683307 | + | 0.856840i | ||||
\(484\) | 27.6749 | − | 13.3275i | 1.25795 | − | 0.605796i | ||||
\(485\) | −1.67360 | + | 7.33254i | −0.0759944 | + | 0.332953i | ||||
\(486\) | −0.710439 | + | 0.890863i | −0.0322262 | + | 0.0404104i | ||||
\(487\) | 3.20291 | − | 14.0329i | 0.145138 | − | 0.635889i | −0.849058 | − | 0.528300i | \(-0.822830\pi\) |
0.994195 | − | 0.107589i | \(-0.0343132\pi\) | |||||||
\(488\) | −2.10992 | − | 1.01608i | −0.0955114 | − | 0.0459959i | ||||
\(489\) | −3.76055 | − | 4.71558i | −0.170058 | − | 0.213246i | ||||
\(490\) | −0.510885 | − | 0.640630i | −0.0230794 | − | 0.0289407i | ||||
\(491\) | 8.55137 | + | 37.4660i | 0.385918 | + | 1.69082i | 0.678520 | + | 0.734582i | \(0.262622\pi\) |
−0.292602 | + | 0.956234i | \(0.594521\pi\) | |||||||
\(492\) | 20.7995 | + | 10.0165i | 0.937716 | + | 0.451580i | ||||
\(493\) | −4.81163 | + | 2.31716i | −0.216705 | + | 0.104360i | ||||
\(494\) | 1.07984 | + | 4.73110i | 0.0485845 | + | 0.212862i | ||||
\(495\) | 0.233406 | + | 1.02262i | 0.0104908 | + | 0.0459633i | ||||
\(496\) | 17.8479 | − | 8.59511i | 0.801396 | − | 0.385932i | ||||
\(497\) | −45.5773 | − | 21.9489i | −2.04442 | − | 0.984542i | ||||
\(498\) | −1.31455 | − | 5.75943i | −0.0589065 | − | 0.258086i | ||||
\(499\) | −13.1670 | − | 16.5109i | −0.589437 | − | 0.739131i | 0.394253 | − | 0.919002i | \(-0.371003\pi\) |
−0.983690 | + | 0.179871i | \(0.942432\pi\) | |||||||
\(500\) | −8.43027 | − | 10.5712i | −0.377013 | − | 0.472760i | ||||
\(501\) | 3.30678 | + | 1.59246i | 0.147736 | + | 0.0711460i | ||||
\(502\) | −0.123917 | + | 0.542915i | −0.00553068 | + | 0.0242315i | ||||
\(503\) | 4.40664 | − | 5.52575i | 0.196482 | − | 0.246381i | −0.673824 | − | 0.738892i | \(-0.735349\pi\) |
0.870306 | + | 0.492511i | \(0.163921\pi\) | |||||||
\(504\) | −0.283520 | + | 1.24218i | −0.0126290 | + | 0.0553312i | ||||
\(505\) | 9.04676 | − | 4.35669i | 0.402576 | − | 0.193870i | ||||
\(506\) | −6.44235 | − | 8.07846i | −0.286398 | − | 0.359131i | ||||
\(507\) | −4.36347 | + | 2.10134i | −0.193788 | + | 0.0933236i | ||||
\(508\) | −8.10872 | + | 10.1680i | −0.359766 | + | 0.451133i | ||||
\(509\) | −27.6136 | −1.22395 | −0.611975 | − | 0.790877i | \(-0.709625\pi\) | ||||
−0.611975 | + | 0.790877i | \(0.709625\pi\) | |||||||
\(510\) | 0.572417 | 0.0253470 | ||||||||
\(511\) | 23.6761 | − | 29.6888i | 1.04737 | − | 1.31336i | ||||
\(512\) | −20.6429 | − | 9.94108i | −0.912294 | − | 0.439338i | ||||
\(513\) | −3.03899 | − | 13.3147i | −0.134175 | − | 0.587858i | ||||
\(514\) | 0.766594 | − | 3.35867i | 0.0338130 | − | 0.148144i | ||||
\(515\) | −3.51573 | −0.154922 | ||||||||
\(516\) | 12.7104 | + | 17.0818i | 0.559546 | + | 0.751985i | ||||
\(517\) | −47.1963 | −2.07569 | ||||||||
\(518\) | −1.04676 | + | 4.58616i | −0.0459921 | + | 0.201504i | ||||
\(519\) | −0.411854 | − | 1.80445i | −0.0180784 | − | 0.0792066i | ||||
\(520\) | −4.84213 | − | 2.33184i | −0.212341 | − | 0.102258i | ||||
\(521\) | −26.8925 | + | 33.7222i | −1.17818 | + | 1.47740i | −0.332993 | + | 0.942929i | \(0.608059\pi\) |
−0.845190 | + | 0.534466i | \(0.820513\pi\) | |||||||
\(522\) | −0.659498 | −0.0288654 | ||||||||
\(523\) | 13.6420 | 0.596525 | 0.298262 | − | 0.954484i | \(-0.403593\pi\) | ||||
0.298262 | + | 0.954484i | \(0.403593\pi\) | |||||||
\(524\) | 10.2594 | − | 12.8648i | 0.448182 | − | 0.562003i | ||||
\(525\) | −21.5661 | + | 10.3857i | −0.941223 | + | 0.453269i | ||||
\(526\) | 0.354740 | + | 0.444830i | 0.0154674 | + | 0.0193955i | ||||
\(527\) | −5.57242 | + | 2.68353i | −0.242738 | + | 0.116897i | ||||
\(528\) | −6.05376 | + | 26.5233i | −0.263456 | + | 1.15428i | ||||
\(529\) | −2.35690 | + | 2.95545i | −0.102474 | + | 0.128498i | ||||
\(530\) | −0.164447 | + | 0.720491i | −0.00714314 | + | 0.0312961i | ||||
\(531\) | 0.192021 | + | 0.0924727i | 0.00833302 | + | 0.00401297i | ||||
\(532\) | −9.43027 | − | 11.8252i | −0.408854 | − | 0.512687i | ||||
\(533\) | 17.5579 | + | 22.0170i | 0.760519 | + | 0.953661i | ||||
\(534\) | −2.51746 | − | 11.0297i | −0.108941 | − | 0.477302i | ||||
\(535\) | 0.464656 | + | 0.223767i | 0.0200888 | + | 0.00967428i | ||||
\(536\) | 10.2349 | − | 4.92887i | 0.442080 | − | 0.212895i | ||||
\(537\) | −3.91185 | − | 17.1390i | −0.168809 | − | 0.739600i | ||||
\(538\) | −2.51315 | − | 11.0108i | −0.108349 | − | 0.474710i | ||||
\(539\) | −10.9547 | + | 5.27552i | −0.471854 | + | 0.227233i | ||||
\(540\) | 6.45862 | + | 3.11031i | 0.277935 | + | 0.133846i | ||||
\(541\) | 5.46562 | + | 23.9464i | 0.234985 | + | 1.02954i | 0.945440 | + | 0.325795i | \(0.105632\pi\) |
−0.710455 | + | 0.703742i | \(0.751511\pi\) | |||||||
\(542\) | −2.48374 | − | 3.11451i | −0.106686 | − | 0.133780i | ||||
\(543\) | 9.42692 | + | 11.8210i | 0.404548 | + | 0.507287i | ||||
\(544\) | 3.73125 | + | 1.79688i | 0.159976 | + | 0.0770404i | ||||
\(545\) | −0.335126 | + | 1.46828i | −0.0143552 | + | 0.0628943i | ||||
\(546\) | −6.03803 | + | 7.57145i | −0.258404 | + | 0.324028i | ||||
\(547\) | −4.85517 | + | 21.2719i | −0.207592 | + | 0.909520i | 0.758572 | + | 0.651590i | \(0.225898\pi\) |
−0.966164 | + | 0.257930i | \(0.916960\pi\) | |||||||
\(548\) | −9.89104 | + | 4.76328i | −0.422524 | + | 0.203477i | ||||
\(549\) | −0.213128 | − | 0.267254i | −0.00909607 | − | 0.0114061i | ||||
\(550\) | 9.25182 | − | 4.45544i | 0.394499 | − | 0.189981i | ||||
\(551\) | 10.2989 | − | 12.9144i | 0.438747 | − | 0.550171i | ||||
\(552\) | 13.3666 | 0.568920 | ||||||||
\(553\) | 23.9366 | 1.01789 | ||||||||
\(554\) | −1.85839 | + | 2.33034i | −0.0789553 | + | 0.0990069i | ||||
\(555\) | −4.51357 | − | 2.17362i | −0.191591 | − | 0.0922651i | ||||
\(556\) | 2.86563 | + | 12.5551i | 0.121530 | + | 0.532456i | ||||
\(557\) | 9.10065 | − | 39.8726i | 0.385607 | − | 1.68946i | −0.293940 | − | 0.955824i | \(-0.594967\pi\) |
0.679548 | − | 0.733631i | \(-0.262176\pi\) | |||||||
\(558\) | −0.763774 | −0.0323331 | ||||||||
\(559\) | 4.92835 | + | 25.5006i | 0.208447 | + | 1.07856i | ||||
\(560\) | 6.97046 | 0.294556 | ||||||||
\(561\) | 1.89008 | − | 8.28100i | 0.0797994 | − | 0.349624i | ||||
\(562\) | 2.21499 | + | 9.70450i | 0.0934336 | + | 0.409360i | ||||
\(563\) | −0.612605 | − | 0.295015i | −0.0258182 | − | 0.0124334i | 0.420930 | − | 0.907093i | \(-0.361704\pi\) |
−0.446748 | + | 0.894660i | \(0.647418\pi\) | |||||||
\(564\) | 18.0417 | − | 22.6236i | 0.759692 | − | 0.952623i | ||||
\(565\) | −10.1274 | −0.426062 | ||||||||
\(566\) | 12.9987 | 0.546375 | ||||||||
\(567\) | 18.4013 | − | 23.0745i | 0.772780 | − | 0.969036i | ||||
\(568\) | −25.2935 | + | 12.1807i | −1.06129 | + | 0.511091i | ||||
\(569\) | −10.2476 | − | 12.8501i | −0.429604 | − | 0.538706i | 0.519167 | − | 0.854673i | \(-0.326242\pi\) |
−0.948770 | + | 0.315967i | \(0.897671\pi\) | |||||||
\(570\) | −1.59515 | + | 0.768182i | −0.0668133 | + | 0.0321756i | ||||
\(571\) | −4.67821 | + | 20.4966i | −0.195777 | + | 0.857755i | 0.777639 | + | 0.628711i | \(0.216417\pi\) |
−0.973416 | + | 0.229044i | \(0.926440\pi\) | |||||||
\(572\) | −23.5661 | + | 29.5510i | −0.985350 | + | 1.23559i | ||||
\(573\) | 5.47650 | − | 23.9941i | 0.228784 | − | 1.00237i | ||||
\(574\) | 8.69202 | + | 4.18586i | 0.362798 | + | 0.174714i | ||||
\(575\) | 11.9092 | + | 14.9336i | 0.496647 | + | 0.622775i | ||||
\(576\) | −0.559138 | − | 0.701137i | −0.0232974 | − | 0.0292141i | ||||
\(577\) | −9.11237 | − | 39.9239i | −0.379353 | − | 1.66205i | −0.699460 | − | 0.714672i | \(-0.746576\pi\) |
0.320107 | − | 0.947381i | \(-0.396281\pi\) | |||||||
\(578\) | 6.49880 | + | 3.12966i | 0.270315 | + | 0.130177i | ||||
\(579\) | −6.63706 | + | 3.19624i | −0.275827 | + | 0.132831i | ||||
\(580\) | 1.92931 | + | 8.45287i | 0.0801103 | + | 0.350986i | ||||
\(581\) | 4.99784 | + | 21.8970i | 0.207346 | + | 0.908440i | ||||
\(582\) | 6.77628 | − | 3.26329i | 0.280886 | − | 0.135268i | ||||
\(583\) | 9.88016 | + | 4.75803i | 0.409194 | + | 0.197058i | ||||
\(584\) | −4.68933 | − | 20.5453i | −0.194046 | − | 0.850171i | ||||
\(585\) | −0.489115 | − | 0.613331i | −0.0202224 | − | 0.0253581i | ||||
\(586\) | −2.67994 | − | 3.36054i | −0.110707 | − | 0.138823i | ||||
\(587\) | 7.40097 | + | 3.56412i | 0.305471 | + | 0.147107i | 0.580339 | − | 0.814375i | \(-0.302920\pi\) |
−0.274868 | + | 0.961482i | \(0.588634\pi\) | |||||||
\(588\) | 1.65883 | − | 7.26782i | 0.0684091 | − | 0.299720i | ||||
\(589\) | 11.9273 | − | 14.9563i | 0.491455 | − | 0.616266i | ||||
\(590\) | −0.0685317 | + | 0.300257i | −0.00282140 | + | 0.0123614i | ||||
\(591\) | −13.9330 | + | 6.70976i | −0.573125 | + | 0.276003i | ||||
\(592\) | −6.16219 | − | 7.72714i | −0.253264 | − | 0.317583i | ||||
\(593\) | 16.0661 | − | 7.73704i | 0.659757 | − | 0.317722i | −0.0738765 | − | 0.997267i | \(-0.523537\pi\) |
0.733634 | + | 0.679545i | \(0.237823\pi\) | |||||||
\(594\) | −7.28986 | + | 9.14119i | −0.299106 | + | 0.375068i | ||||
\(595\) | −2.17629 | −0.0892193 | ||||||||
\(596\) | 8.00969 | 0.328090 | ||||||||
\(597\) | −6.41454 | + | 8.04358i | −0.262530 | + | 0.329202i | ||||
\(598\) | 6.96250 | + | 3.35296i | 0.284718 | + | 0.137113i | ||||
\(599\) | −7.94020 | − | 34.7883i | −0.324428 | − | 1.42141i | −0.829584 | − | 0.558382i | \(-0.811422\pi\) |
0.505156 | − | 0.863028i | \(-0.331435\pi\) | |||||||
\(600\) | −2.95593 | + | 12.9508i | −0.120675 | + | 0.528713i | ||||
\(601\) | −8.47219 | −0.345588 | −0.172794 | − | 0.984958i | \(-0.555279\pi\) | ||||
−0.172794 | + | 0.984958i | \(0.555279\pi\) | |||||||
\(602\) | 5.31163 | + | 7.13840i | 0.216486 | + | 0.290940i | ||||
\(603\) | 1.65817 | 0.0675259 | ||||||||
\(604\) | 5.69418 | − | 24.9478i | 0.231693 | − | 1.01511i | ||||
\(605\) | 3.04192 | + | 13.3275i | 0.123672 | + | 0.541840i | ||||
\(606\) | −9.04676 | − | 4.35669i | −0.367500 | − | 0.176978i | ||||
\(607\) | 21.0993 | − | 26.4577i | 0.856395 | − | 1.07389i | −0.140092 | − | 0.990139i | \(-0.544740\pi\) |
0.996487 | − | 0.0837472i | \(-0.0266888\pi\) | |||||||
\(608\) | −12.8092 | −0.519483 | ||||||||
\(609\) | 32.9638 | 1.33576 | ||||||||
\(610\) | 0.307979 | − | 0.386193i | 0.0124697 | − | 0.0156365i | ||||
\(611\) | 31.8022 | − | 15.3151i | 1.28658 | − | 0.619585i | ||||
\(612\) | 0.246980 | + | 0.309703i | 0.00998356 | + | 0.0125190i | ||||
\(613\) | 32.2630 | − | 15.5370i | 1.30309 | − | 0.627535i | 0.351870 | − | 0.936049i | \(-0.385546\pi\) |
0.951220 | + | 0.308513i | \(0.0998315\pi\) | |||||||
\(614\) | 1.28597 | − | 5.63421i | 0.0518976 | − | 0.227378i | ||||
\(615\) | −6.40581 | + | 8.03264i | −0.258307 | + | 0.323907i | ||||
\(616\) | −6.07942 | + | 26.6357i | −0.244947 | + | 1.07318i | ||||
\(617\) | −3.56638 | − | 1.71748i | −0.143577 | − | 0.0691430i | 0.360716 | − | 0.932676i | \(-0.382532\pi\) |
−0.504293 | + | 0.863533i | \(0.668247\pi\) | |||||||
\(618\) | 2.19202 | + | 2.74871i | 0.0881760 | + | 0.110569i | ||||
\(619\) | 14.0233 | + | 17.5846i | 0.563642 | + | 0.706785i | 0.979227 | − | 0.202769i | \(-0.0649942\pi\) |
−0.415584 | + | 0.909555i | \(0.636423\pi\) | |||||||
\(620\) | 2.23437 | + | 9.78940i | 0.0897343 | + | 0.393152i | ||||
\(621\) | −19.5945 | − | 9.43621i | −0.786299 | − | 0.378662i | ||||
\(622\) | 2.37263 | − | 1.14260i | 0.0951336 | − | 0.0458139i | ||||
\(623\) | 9.57122 | + | 41.9343i | 0.383463 | + | 1.68006i | ||||
\(624\) | −4.52757 | − | 19.8366i | −0.181248 | − | 0.794099i | ||||
\(625\) | −14.2056 | + | 6.84105i | −0.568224 | + | 0.273642i | ||||
\(626\) | −8.24698 | − | 3.97154i | −0.329616 | − | 0.158735i | ||||
\(627\) | 5.84601 | + | 25.6130i | 0.233467 | + | 1.02289i | ||||
\(628\) | 8.36174 | + | 10.4853i | 0.333670 | + | 0.418409i | ||||
\(629\) | 1.92394 | + | 2.41254i | 0.0767123 | + | 0.0961942i | ||||
\(630\) | −0.242135 | − | 0.116606i | −0.00964690 | − | 0.00464570i | ||||
\(631\) | −2.60776 | + | 11.4253i | −0.103813 | + | 0.454836i | 0.896126 | + | 0.443800i | \(0.146370\pi\) |
−0.999939 | + | 0.0110357i | \(0.996487\pi\) | |||||||
\(632\) | 8.28232 | − | 10.3857i | 0.329453 | − | 0.413121i | ||||
\(633\) | 7.68114 | − | 33.6533i | 0.305298 | − | 1.33760i | ||||
\(634\) | −7.36270 | + | 3.54569i | −0.292410 | + | 0.140817i | ||||
\(635\) | −3.60872 | − | 4.52519i | −0.143208 | − | 0.179577i | ||||
\(636\) | −6.05765 | + | 2.91721i | −0.240201 | + | 0.115675i | ||||
\(637\) | 5.66972 | − | 7.10960i | 0.224642 | − | 0.281693i | ||||
\(638\) | −14.1414 | −0.559862 | ||||||||
\(639\) | −4.09783 | −0.162108 | ||||||||
\(640\) | 5.46077 | − | 6.84759i | 0.215856 | − | 0.270675i | ||||
\(641\) | −37.8303 | − | 18.2181i | −1.49421 | − | 0.719573i | −0.504599 | − | 0.863354i | \(-0.668360\pi\) |
−0.989610 | + | 0.143781i | \(0.954074\pi\) | |||||||
\(642\) | −0.114761 | − | 0.502799i | −0.00452924 | − | 0.0198439i | ||||
\(643\) | −4.28083 | + | 18.7555i | −0.168820 | + | 0.739647i | 0.817652 | + | 0.575713i | \(0.195275\pi\) |
−0.986471 | + | 0.163934i | \(0.947582\pi\) | |||||||
\(644\) | −24.0858 | −0.949112 | ||||||||
\(645\) | −8.67025 | + | 3.82322i | −0.341391 | + | 0.150539i | ||||
\(646\) | 1.09054 | 0.0429067 | ||||||||
\(647\) | −3.49193 | + | 15.2992i | −0.137282 | + | 0.601472i | 0.858744 | + | 0.512406i | \(0.171246\pi\) |
−0.996026 | + | 0.0890667i | \(0.971612\pi\) | |||||||
\(648\) | −3.64460 | − | 15.9680i | −0.143173 | − | 0.627283i | ||||
\(649\) | 4.11745 | + | 1.98286i | 0.161624 | + | 0.0778340i | ||||
\(650\) | −4.78836 | + | 6.00442i | −0.187815 | + | 0.235513i | ||||
\(651\) | 38.1758 | 1.49623 | ||||||||
\(652\) | 6.03146 | 0.236210 | ||||||||
\(653\) | −28.8267 | + | 36.1475i | −1.12808 | + | 1.41456i | −0.230850 | + | 0.972989i | \(0.574151\pi\) |
−0.897225 | + | 0.441573i | \(0.854421\pi\) | |||||||
\(654\) | 1.35690 | − | 0.653447i | 0.0530588 | − | 0.0255518i | ||||
\(655\) | 4.56584 | + | 5.72539i | 0.178402 | + | 0.223709i | ||||
\(656\) | −18.2620 | + | 8.79454i | −0.713013 | + | 0.343369i | ||||
\(657\) | 0.684489 | − | 2.99894i | 0.0267044 | − | 0.117000i | ||||
\(658\) | 7.53952 | − | 9.45426i | 0.293921 | − | 0.368566i | ||||
\(659\) | −1.76218 | + | 7.72060i | −0.0686447 | + | 0.300752i | −0.997583 | − | 0.0694821i | \(-0.977865\pi\) |
0.928939 | + | 0.370234i | \(0.120722\pi\) | |||||||
\(660\) | −12.4242 | − | 5.98319i | −0.483613 | − | 0.232896i | ||||
\(661\) | 24.7521 | + | 31.0382i | 0.962746 | + | 1.20725i | 0.978264 | + | 0.207366i | \(0.0664889\pi\) |
−0.0155177 | + | 0.999880i | \(0.504940\pi\) | |||||||
\(662\) | 0.457419 | + | 0.573585i | 0.0177781 | + | 0.0222930i | ||||
\(663\) | 1.41358 | + | 6.19331i | 0.0548990 | + | 0.240528i | ||||
\(664\) | 11.2301 | + | 5.40811i | 0.435811 | + | 0.209875i | ||||
\(665\) | 6.06465 | − | 2.92058i | 0.235177 | − | 0.113255i | ||||
\(666\) | 0.0847936 | + | 0.371505i | 0.00328569 | + | 0.0143955i | ||||
\(667\) | −5.85325 | − | 25.6448i | −0.226639 | − | 0.992969i | ||||
\(668\) | −3.30678 | + | 1.59246i | −0.127943 | + | 0.0616142i | ||||
\(669\) | −0.167563 | − | 0.0806940i | −0.00647835 | − | 0.00311981i | ||||
\(670\) | 0.533188 | + | 2.33605i | 0.0205988 | + | 0.0902494i | ||||
\(671\) | −4.57002 | − | 5.73063i | −0.176424 | − | 0.221228i | ||||
\(672\) | −15.9378 | − | 19.9854i | −0.614814 | − | 0.770953i | ||||
\(673\) | −27.3702 | − | 13.1808i | −1.05504 | − | 0.508083i | −0.175787 | − | 0.984428i | \(-0.556247\pi\) |
−0.879258 | + | 0.476345i | \(0.841961\pi\) | |||||||
\(674\) | −2.88620 | + | 12.6453i | −0.111172 | + | 0.487077i | ||||
\(675\) | 13.4758 | − | 16.8982i | 0.518685 | − | 0.650411i | ||||
\(676\) | 1.07769 | − | 4.72166i | 0.0414495 | − | 0.181602i | ||||
\(677\) | 10.6184 | − | 5.11356i | 0.408099 | − | 0.196530i | −0.218561 | − | 0.975823i | \(-0.570136\pi\) |
0.626659 | + | 0.779293i | \(0.284422\pi\) | |||||||
\(678\) | 6.31431 | + | 7.91790i | 0.242500 | + | 0.304085i | ||||
\(679\) | −25.7630 | + | 12.4068i | −0.988693 | + | 0.476130i | ||||
\(680\) | −0.753020 | + | 0.944258i | −0.0288770 | + | 0.0362106i | ||||
\(681\) | 24.0640 | 0.922134 | ||||||||
\(682\) | −16.3773 | −0.627121 | ||||||||
\(683\) | −10.3319 | + | 12.9558i | −0.395339 | + | 0.495740i | −0.939169 | − | 0.343456i | \(-0.888402\pi\) |
0.543829 | + | 0.839196i | \(0.316974\pi\) | |||||||
\(684\) | −1.10388 | − | 0.531598i | −0.0422077 | − | 0.0203262i | ||||
\(685\) | −1.08719 | − | 4.76328i | −0.0415393 | − | 0.181995i | ||||
\(686\) | −1.42035 | + | 6.22294i | −0.0542291 | + | 0.237593i | ||||
\(687\) | −51.1517 | −1.95156 | ||||||||
\(688\) | −18.6838 | − | 0.625942i | −0.712314 | − | 0.0238638i | ||||
\(689\) | −8.20152 | −0.312453 | ||||||||
\(690\) | −0.627375 | + | 2.74871i | −0.0238837 | + | 0.104642i | ||||
\(691\) | −4.19537 | − | 18.3811i | −0.159600 | − | 0.699251i | −0.989880 | − | 0.141906i | \(-0.954677\pi\) |
0.830281 | − | 0.557346i | \(-0.188180\pi\) | |||||||
\(692\) | 1.66756 | + | 0.803056i | 0.0633912 | + | 0.0305276i | ||||
\(693\) | −2.48643 | + | 3.11788i | −0.0944515 | + | 0.118438i | ||||
\(694\) | −11.2198 | −0.425899 | ||||||||
\(695\) | −5.73125 | −0.217399 | ||||||||
\(696\) | 11.4058 | − | 14.3024i | 0.432336 | − | 0.542132i | ||||
\(697\) | 5.70171 | − | 2.74580i | 0.215968 | − | 0.104005i | ||||
\(698\) | 0.0725480 | + | 0.0909724i | 0.00274598 | + | 0.00344335i | ||||
\(699\) | −17.7995 | + | 8.57181i | −0.673241 | + | 0.324216i | ||||
\(700\) | 5.32640 | − | 23.3365i | 0.201319 | − | 0.882036i | ||||
\(701\) | 18.8545 | − | 23.6428i | 0.712125 | − | 0.892976i | −0.285739 | − | 0.958308i | \(-0.592239\pi\) |
0.997864 | + | 0.0653313i | \(0.0208104\pi\) | |||||||
\(702\) | 1.94581 | − | 8.52516i | 0.0734399 | − | 0.321761i | ||||
\(703\) | −8.59903 | − | 4.14108i | −0.324319 | − | 0.156184i | ||||
\(704\) | −11.9894 | − | 15.0342i | −0.451868 | − | 0.566624i | ||||
\(705\) | 8.02930 | + | 10.0684i | 0.302401 | + | 0.379199i | ||||
\(706\) | 1.41478 | + | 6.19855i | 0.0532459 | + | 0.233286i | ||||
\(707\) | 34.3952 | + | 16.5639i | 1.29357 | + | 0.622948i | ||||
\(708\) | −2.52446 | + | 1.21572i | −0.0948750 | + | 0.0456894i | ||||
\(709\) | 0.0151970 | + | 0.0665824i | 0.000570735 | + | 0.00250055i | 0.975212 | − | 0.221270i | \(-0.0710204\pi\) |
−0.974642 | + | 0.223771i | \(0.928163\pi\) | |||||||
\(710\) | −1.31767 | − | 5.77308i | −0.0494512 | − | 0.216660i | ||||
\(711\) | 1.74698 | − | 0.841301i | 0.0655169 | − | 0.0315513i | ||||
\(712\) | 21.5063 | + | 10.3569i | 0.805984 | + | 0.388141i | ||||
\(713\) | −6.77873 | − | 29.6996i | −0.253866 | − | 1.11226i | ||||
\(714\) | 1.35690 | + | 1.70149i | 0.0507806 | + | 0.0636768i | ||||
\(715\) | −10.4879 | − | 13.1514i | −0.392226 | − | 0.491836i | ||||
\(716\) | 15.8388 | + | 7.62755i | 0.591923 | + | 0.285055i | ||||
\(717\) | −7.78717 | + | 34.1178i | −0.290817 | + | 1.27415i | ||||
\(718\) | −0.265766 | + | 0.333260i | −0.00991830 | + | 0.0124372i | ||||
\(719\) | −5.97339 | + | 26.1711i | −0.222770 | + | 0.976018i | 0.732613 | + | 0.680646i | \(0.238301\pi\) |
−0.955382 | + | 0.295372i | \(0.904556\pi\) | |||||||
\(720\) | 0.508729 | − | 0.244991i | 0.0189592 | − | 0.00913028i | ||||
\(721\) | −8.33393 | − | 10.4504i | −0.310372 | − | 0.389194i | ||||
\(722\) | 4.57942 | − | 2.20533i | 0.170428 | − | 0.0820739i | ||||
\(723\) | −3.92543 | + | 4.92233i | −0.145988 | + | 0.183063i | ||||
\(724\) | −15.1196 | −0.561916 | ||||||||
\(725\) | 26.1414 | 0.970866 | ||||||||
\(726\) | 8.52326 | − | 10.6878i | 0.316328 | − | 0.396663i | ||||
\(727\) | 7.03630 | + | 3.38851i | 0.260962 | + | 0.125673i | 0.559791 | − | 0.828634i | \(-0.310882\pi\) |
−0.298829 | + | 0.954307i | \(0.596596\pi\) | |||||||
\(728\) | −4.54676 | − | 19.9207i | −0.168514 | − | 0.738309i | ||||
\(729\) | −5.43535 | + | 23.8138i | −0.201309 | + | 0.881994i | ||||
\(730\) | 4.44504 | 0.164518 | ||||||||
\(731\) | 5.83340 | + | 0.195429i | 0.215756 | + | 0.00722822i | ||||
\(732\) | 4.49396 | 0.166102 | ||||||||
\(733\) | 2.73609 | − | 11.9876i | 0.101060 | − | 0.442773i | −0.898929 | − | 0.438094i | \(-0.855654\pi\) |
0.999989 | − | 0.00467846i | \(-0.00148920\pi\) | |||||||
\(734\) | −1.21930 | − | 5.34210i | −0.0450052 | − | 0.197181i | ||||
\(735\) | 2.98911 | + | 1.43948i | 0.110255 | + | 0.0530961i | ||||
\(736\) | −12.7180 | + | 15.9478i | −0.468791 | + | 0.587845i | ||||
\(737\) | 35.5555 | 1.30971 | ||||||||
\(738\) | 0.781495 | 0.0287672 | ||||||||
\(739\) | −2.44571 | + | 3.06682i | −0.0899667 | + | 0.112815i | −0.824777 | − | 0.565458i | \(-0.808700\pi\) |
0.734811 | + | 0.678272i | \(0.237271\pi\) | |||||||
\(740\) | 4.51357 | − | 2.17362i | 0.165922 | − | 0.0799040i | ||||
\(741\) | −12.2506 | − | 15.3618i | −0.450038 | − | 0.564330i | ||||
\(742\) | −2.53146 | + | 1.21909i | −0.0929328 | + | 0.0447541i | ||||
\(743\) | 5.01195 | − | 21.9588i | 0.183871 | − | 0.805590i | −0.795894 | − | 0.605436i | \(-0.792999\pi\) |
0.979765 | − | 0.200154i | \(-0.0641441\pi\) | |||||||
\(744\) | 13.2092 | − | 16.5639i | 0.484274 | − | 0.607261i | ||||
\(745\) | −0.793209 | + | 3.47527i | −0.0290609 | + | 0.127324i | ||||
\(746\) | −4.39589 | − | 2.11695i | −0.160945 | − | 0.0775070i | ||||
\(747\) | 1.13437 | + | 1.42246i | 0.0415046 | + | 0.0520451i | ||||
\(748\) | 5.29590 | + | 6.64084i | 0.193637 | + | 0.242813i | ||||
\(749\) | 0.436313 | + | 1.91161i | 0.0159425 | + | 0.0698487i | ||||
\(750\) | −5.42154 | − | 2.61088i | −0.197967 | − | 0.0953358i | ||||
\(751\) | −2.33244 | + | 1.12324i | −0.0851118 | + | 0.0409877i | −0.475955 | − | 0.879469i | \(-0.657898\pi\) |
0.390844 | + | 0.920457i | \(0.372183\pi\) | |||||||
\(752\) | 5.65346 | + | 24.7694i | 0.206160 | + | 0.903248i | ||||
\(753\) | −0.501729 | − | 2.19822i | −0.0182840 | − | 0.0801075i | ||||
\(754\) | 9.52888 | − | 4.58886i | 0.347021 | − | 0.167117i | ||||
\(755\) | 10.2606 | + | 4.94122i | 0.373420 | + | 0.179829i | ||||
\(756\) | 6.06465 | + | 26.5710i | 0.220569 | + | 0.966376i | ||||
\(757\) | 6.98978 | + | 8.76491i | 0.254048 | + | 0.318566i | 0.892458 | − | 0.451130i | \(-0.148979\pi\) |
−0.638410 | + | 0.769696i | \(0.720408\pi\) | |||||||
\(758\) | −3.08240 | − | 3.86521i | −0.111958 | − | 0.140391i | ||||
\(759\) | 37.6933 | + | 18.1521i | 1.36818 | + | 0.658880i | ||||
\(760\) | 0.831241 | − | 3.64190i | 0.0301523 | − | 0.132106i | ||||
\(761\) | −6.52260 | + | 8.17908i | −0.236444 | + | 0.296491i | −0.885870 | − | 0.463933i | \(-0.846438\pi\) |
0.649426 | + | 0.760425i | \(0.275009\pi\) | |||||||
\(762\) | −1.28794 | + | 5.64282i | −0.0466570 | + | 0.204418i | ||||
\(763\) | −5.15883 | + | 2.48436i | −0.186762 | + | 0.0899400i | ||||
\(764\) | 15.3448 | + | 19.2418i | 0.555156 | + | 0.696143i | ||||
\(765\) | −0.158834 | + | 0.0764902i | −0.00574264 | + | 0.00276551i | ||||
\(766\) | −2.20978 | + | 2.77097i | −0.0798424 | + | 0.100119i | ||||
\(767\) | −3.41789 | −0.123413 | ||||||||
\(768\) | 4.32736 | 0.156150 | ||||||||
\(769\) | −5.59150 | + | 7.01152i | −0.201635 | + | 0.252842i | −0.872360 | − | 0.488864i | \(-0.837411\pi\) |
0.670725 | + | 0.741706i | \(0.265983\pi\) | |||||||
\(770\) | −5.19202 | − | 2.50035i | −0.187107 | − | 0.0901062i | ||||
\(771\) | 3.10388 | + | 13.5990i | 0.111783 | + | 0.489755i | ||||
\(772\) | 1.63922 | − | 7.18189i | 0.0589968 | − | 0.258482i | ||||
\(773\) | 46.0995 | 1.65808 | 0.829042 | − | 0.559187i | \(-0.188887\pi\) | ||||
0.829042 | + | 0.559187i | \(0.188887\pi\) | |||||||
\(774\) | 0.638555 | + | 0.334298i | 0.0229524 | + | 0.0120161i | ||||
\(775\) | 30.2747 | 1.08750 | ||||||||
\(776\) | −3.53116 | + | 15.4710i | −0.126761 | + | 0.555378i | ||||
\(777\) | −4.23825 | − | 18.5690i | −0.152046 | − | 0.666159i | ||||
\(778\) | 4.57284 | + | 2.20217i | 0.163944 | + | 0.0789515i | ||||
\(779\) | −12.2040 | + | 15.3034i | −0.437255 | + | 0.548300i | ||||
\(780\) | 10.3134 | 0.369277 | ||||||||
\(781\) | −87.8684 | −3.14418 | ||||||||
\(782\) | 1.08277 | − | 1.35775i | 0.0387197 | − | 0.0485530i | ||||
\(783\) | −26.8170 | + | 12.9144i | −0.958362 | + | 0.461523i | ||||
\(784\) | 4.08091 | + | 5.11730i | 0.145747 | + | 0.182761i | ||||
\(785\) | −5.37747 | + | 2.58965i | −0.191930 | + | 0.0924287i | ||||
\(786\) | 1.62953 | − | 7.13944i | 0.0581234 | − | 0.254655i | ||||
\(787\) | 18.2872 | − | 22.9314i | 0.651867 | − | 0.817416i | −0.340564 | − | 0.940221i | \(-0.610618\pi\) |
0.992431 | + | 0.122806i | \(0.0391893\pi\) | |||||||
\(788\) | 3.44116 | − | 15.0767i | 0.122586 | − | 0.537085i | ||||
\(789\) | −2.07553 | − | 0.999524i | −0.0738909 | − | 0.0355840i | ||||
\(790\) | 1.74698 | + | 2.19064i | 0.0621547 | + | 0.0779396i | ||||
\(791\) | −24.0066 | − | 30.1034i | −0.853578 | − | 1.07035i | ||||
\(792\) | 0.492467 | + | 2.15764i | 0.0174991 | + | 0.0766684i | ||||
\(793\) | 4.93900 | + | 2.37850i | 0.175389 | + | 0.0844629i | ||||
\(794\) | 3.81067 | − | 1.83512i | 0.135236 | − | 0.0651260i | ||||
\(795\) | −0.665834 | − | 2.91721i | −0.0236147 | − | 0.103463i | ||||
\(796\) | −2.28932 | − | 10.0302i | −0.0811429 | − | 0.355510i | ||||
\(797\) | 37.0758 | − | 17.8548i | 1.31329 | − | 0.632449i | 0.359565 | − | 0.933120i | \(-0.382925\pi\) |
0.953728 | + | 0.300671i | \(0.0972107\pi\) | |||||||
\(798\) | −6.06465 | − | 2.92058i | −0.214686 | − | 0.103387i | ||||
\(799\) | −1.76510 | − | 7.73342i | −0.0624448 | − | 0.273589i | ||||
\(800\) | −12.6392 | − | 15.8491i | −0.446864 | − | 0.560350i | ||||
\(801\) | 2.17241 | + | 2.72411i | 0.0767582 | + | 0.0962518i | ||||
\(802\) | −4.35690 | − | 2.09817i | −0.153847 | − | 0.0740890i | ||||
\(803\) | 14.6773 | − | 64.3052i | 0.517949 | − | 2.26928i | ||||
\(804\) | −13.5918 | + | 17.0436i | −0.479346 | + | 0.601080i | ||||
\(805\) | 2.38524 | − | 10.4504i | 0.0840686 | − | 0.368329i | ||||
\(806\) | 11.0355 | − | 5.31443i | 0.388710 | − | 0.187193i | ||||
\(807\) | 28.5112 | + | 35.7519i | 1.00364 | + | 1.25853i | ||||
\(808\) | 19.0879 | − | 9.19225i | 0.671510 | − | 0.323382i | ||||
\(809\) | 21.8564 | − | 27.4070i | 0.768429 | − | 0.963579i | −0.231528 | − | 0.972828i | \(-0.574373\pi\) |
0.999957 | + | 0.00924889i | \(0.00294405\pi\) | |||||||
\(810\) | 3.45473 | 0.121387 | ||||||||
\(811\) | 27.4476 | 0.963814 | 0.481907 | − | 0.876222i | \(-0.339944\pi\) | ||||
0.481907 | + | 0.876222i | \(0.339944\pi\) | |||||||
\(812\) | −20.5526 | + | 25.7721i | −0.721254 | + | 0.904423i | ||||
\(813\) | 14.5320 | + | 6.99824i | 0.509659 | + | 0.245439i | ||||
\(814\) | 1.81820 | + | 7.96605i | 0.0637279 | + | 0.279210i | ||||
\(815\) | −0.597302 | + | 2.61695i | −0.0209226 | + | 0.0916678i | ||||
\(816\) | −4.57242 | −0.160067 | ||||||||
\(817\) | −16.5181 | + | 7.28381i | −0.577896 | + | 0.254828i | ||||
\(818\) | −9.42327 | −0.329477 | ||||||||
\(819\) | 0.663678 | − | 2.90776i | 0.0231908 | − | 0.101605i | ||||
\(820\) | −2.28621 | − | 10.0165i | −0.0798379 | − | 0.349793i | ||||
\(821\) | 8.95257 | + | 4.31133i | 0.312447 | + | 0.150467i | 0.583535 | − | 0.812088i | \(-0.301669\pi\) |
−0.271088 | + | 0.962555i | \(0.587383\pi\) | |||||||
\(822\) | −3.04623 | + | 3.81985i | −0.106249 | + | 0.133233i | ||||
\(823\) | 3.46489 | 0.120779 | 0.0603893 | − | 0.998175i | \(-0.480766\pi\) | ||||
0.0603893 | + | 0.998175i | \(0.480766\pi\) | |||||||
\(824\) | −7.41789 | −0.258415 | ||||||||
\(825\) | −25.9230 | + | 32.5065i | −0.902524 | + | 1.13173i | ||||
\(826\) | −1.05496 | + | 0.508041i | −0.0367067 | + | 0.0176770i | ||||
\(827\) | 0.291421 | + | 0.365430i | 0.0101337 | + | 0.0127073i | 0.786873 | − | 0.617116i | \(-0.211699\pi\) |
−0.776739 | + | 0.629823i | \(0.783127\pi\) | |||||||
\(828\) | −1.75786 | + | 0.846543i | −0.0610900 | + | 0.0294194i | ||||
\(829\) | 5.34883 | − | 23.4348i | 0.185773 | − | 0.813923i | −0.793041 | − | 0.609168i | \(-0.791503\pi\) |
0.978813 | − | 0.204754i | \(-0.0656395\pi\) | |||||||
\(830\) | −1.63922 | + | 2.05552i | −0.0568981 | + | 0.0713480i | ||||
\(831\) | 2.68545 | − | 11.7657i | 0.0931572 | − | 0.408148i | ||||
\(832\) | 12.9574 | + | 6.23996i | 0.449218 | + | 0.216332i | ||||
\(833\) | −1.27413 | − | 1.59770i | −0.0441459 | − | 0.0553572i | ||||
\(834\) | 3.57338 | + | 4.48087i | 0.123736 | + | 0.155160i | ||||
\(835\) | −0.363469 | − | 1.59246i | −0.0125784 | − | 0.0551094i | ||||
\(836\) | −23.6700 | − | 11.3989i | −0.818645 | − | 0.394238i | ||||
\(837\) | −31.0572 | + | 14.9563i | −1.07349 | + | 0.516967i | ||||
\(838\) | 3.17964 | + | 13.9309i | 0.109839 | + | 0.481236i | ||||
\(839\) | −2.45742 | − | 10.7667i | −0.0848395 | − | 0.371706i | 0.914629 | − | 0.404293i | \(-0.132483\pi\) |
−0.999469 | + | 0.0325871i | \(0.989625\pi\) | |||||||
\(840\) | 6.71648 | − | 3.23449i | 0.231741 | − | 0.111600i | ||||
\(841\) | −6.30678 | − | 3.03719i | −0.217475 | − | 0.104731i | ||||
\(842\) | −1.50724 | − | 6.60364i | −0.0519428 | − | 0.227576i | ||||
\(843\) | −25.1286 | − | 31.5103i | −0.865476 | − | 1.08527i | ||||
\(844\) | 21.5221 | + | 26.9878i | 0.740820 | + | 0.928959i | ||||
\(845\) | 1.94193 | + | 0.935182i | 0.0668043 | + | 0.0321713i | ||||
\(846\) | 0.217972 | − | 0.954998i | 0.00749403 | − | 0.0328335i | ||||
\(847\) | −32.4049 | + | 40.6345i | −1.11345 | + | 1.39622i | ||||
\(848\) | 1.31359 | − | 5.75522i | 0.0451089 | − | 0.197635i | ||||
\(849\) | −47.4185 | + | 22.8355i | −1.62740 | + | 0.783714i | ||||
\(850\) | 1.07606 | + | 1.34934i | 0.0369087 | + | 0.0462821i | ||||
\(851\) | −13.6935 | + | 6.59445i | −0.469408 | + | 0.226055i | ||||
\(852\) | 33.5894 | − | 42.1198i | 1.15075 | − | 1.44300i | ||||
\(853\) | −47.2804 | −1.61885 | −0.809424 | − | 0.587224i | \(-0.800221\pi\) | ||||
−0.809424 | + | 0.587224i | \(0.800221\pi\) | |||||||
\(854\) | 1.87800 | 0.0642639 | ||||||||
\(855\) | 0.339970 | − | 0.426309i | 0.0116267 | − | 0.0145795i | ||||
\(856\) | 0.980386 | + | 0.472129i | 0.0335089 | + | 0.0161370i | ||||
\(857\) | 0.201710 | + | 0.883750i | 0.00689029 | + | 0.0301883i | 0.978256 | − | 0.207400i | \(-0.0665002\pi\) |
−0.971366 | + | 0.237588i | \(0.923643\pi\) | |||||||
\(858\) | −3.74309 | + | 16.3996i | −0.127787 | + | 0.559872i | ||||
\(859\) | −35.4486 | −1.20949 | −0.604746 | − | 0.796419i | \(-0.706725\pi\) | ||||
−0.604746 | + | 0.796419i | \(0.706725\pi\) | |||||||
\(860\) | 2.41670 | − | 9.16241i | 0.0824087 | − | 0.312436i | ||||
\(861\) | −39.0616 | −1.33122 | ||||||||
\(862\) | −3.71187 | + | 16.2628i | −0.126427 | + | 0.553912i | ||||
\(863\) | 2.30804 | + | 10.1122i | 0.0785665 | + | 0.344222i | 0.998899 | − | 0.0469149i | \(-0.0149389\pi\) |
−0.920332 | + | 0.391137i | \(0.872082\pi\) | |||||||
\(864\) | 20.7957 | + | 10.0147i | 0.707483 | + | 0.340706i | ||||
\(865\) | −0.513574 | + | 0.644001i | −0.0174620 | + | 0.0218967i | ||||
\(866\) | 10.2228 | 0.347385 | ||||||||
\(867\) | −29.2054 | −0.991866 | ||||||||
\(868\) | −23.8022 | + | 29.8471i | −0.807900 | + | 1.01308i | ||||
\(869\) | 37.4599 | − | 18.0397i | 1.27074 | − | 0.611956i | ||||
\(870\) | 2.40581 | + | 3.01679i | 0.0815647 | + | 0.102279i | ||||
\(871\) | −23.9584 | + | 11.5377i | −0.811799 | + | 0.390942i | ||||
\(872\) | −0.707087 | + | 3.09795i | −0.0239450 | + | 0.104910i | ||||
\(873\) | −1.44421 | + | 1.81099i | −0.0488792 | + | 0.0612926i | ||||
\(874\) | −1.19524 | + | 5.23670i | −0.0404297 | + | 0.177134i | ||||
\(875\) | 20.6124 | + | 9.92639i | 0.696825 | + | 0.335573i | ||||
\(876\) | 25.2141 | + | 31.6175i | 0.851905 | + | 1.06826i | ||||
\(877\) | −4.61141 | − | 5.78252i | −0.155716 | − | 0.195262i | 0.697854 | − | 0.716240i | \(-0.254139\pi\) |
−0.853570 | + | 0.520978i | \(0.825567\pi\) | |||||||
\(878\) | −0.144301 | − | 0.632222i | −0.00486991 | − | 0.0213365i | ||||
\(879\) | 15.6799 | + | 7.55106i | 0.528871 | + | 0.254691i | ||||
\(880\) | 10.9085 | − | 5.25326i | 0.367726 | − | 0.177087i | ||||
\(881\) | 1.37406 | + | 6.02014i | 0.0462932 | + | 0.202824i | 0.992786 | − | 0.119902i | \(-0.0382580\pi\) |
−0.946493 | + | 0.322726i | \(0.895401\pi\) | |||||||
\(882\) | −0.0561546 | − | 0.246029i | −0.00189082 | − | 0.00828424i | ||||
\(883\) | 20.9199 | − | 10.0745i | 0.704011 | − | 0.339034i | −0.0473927 | − | 0.998876i | \(-0.515091\pi\) |
0.751404 | + | 0.659842i | \(0.229377\pi\) | |||||||
\(884\) | −5.72348 | − | 2.75628i | −0.192501 | − | 0.0927038i | ||||
\(885\) | −0.277479 | − | 1.21572i | −0.00932736 | − | 0.0408658i | ||||
\(886\) | −5.81402 | − | 7.29055i | −0.195326 | − | 0.244931i | ||||
\(887\) | −8.81850 | − | 11.0580i | −0.296096 | − | 0.371293i | 0.611423 | − | 0.791304i | \(-0.290598\pi\) |
−0.907519 | + | 0.420011i | \(0.862026\pi\) | |||||||
\(888\) | −9.52326 | − | 4.58616i | −0.319580 | − | 0.153901i | ||||
\(889\) | 4.89666 | − | 21.4537i | 0.164229 | − | 0.719533i | ||||
\(890\) | −3.13922 | + | 3.93646i | −0.105227 | + | 0.131950i | ||||
\(891\) | 11.4073 | − | 49.9787i | 0.382159 | − | 1.67435i | ||||
\(892\) | 0.167563 | − | 0.0806940i | 0.00561042 | − | 0.00270183i | ||||
\(893\) | 15.2970 | + | 19.1819i | 0.511895 | + | 0.641896i | ||||
\(894\) | 3.21164 | − | 1.54664i | 0.107413 | − | 0.0517275i | ||||
\(895\) | −4.87800 | + | 6.11682i | −0.163054 | + | 0.204463i | ||||
\(896\) | 33.2989 | 1.11244 | ||||||||
\(897\) | −31.2892 | −1.04472 | ||||||||
\(898\) | 2.42476 | − | 3.04056i | 0.0809154 | − | 0.101465i | ||||
\(899\) | −37.5633 | − | 18.0895i | −1.25281 | − | 0.603320i | ||||
\(900\) | −0.431468 | − | 1.89039i | −0.0143823 | − | 0.0630129i | ||||
\(901\) | −0.410125 | + | 1.79688i | −0.0136632 | + | 0.0598626i | ||||
\(902\) | 16.7573 | 0.557958 | ||||||||
\(903\) | −31.9170 | − | 16.7093i | −1.06213 | − | 0.556050i | ||||
\(904\) | −21.3679 | −0.710686 | ||||||||
\(905\) | 1.49731 | − | 6.56015i | 0.0497723 | − | 0.218067i | ||||
\(906\) | −2.53415 | − | 11.1028i | −0.0841914 | − | 0.368867i | ||||
\(907\) | 34.5170 | + | 16.6225i | 1.14612 | + | 0.551941i | 0.907865 | − | 0.419262i | \(-0.137711\pi\) |
0.238252 | + | 0.971203i | \(0.423425\pi\) | |||||||
\(908\) | −15.0036 | + | 18.8140i | −0.497914 | + | 0.624364i | ||||
\(909\) | 3.09246 | 0.102570 | ||||||||
\(910\) | 4.30990 | 0.142872 | ||||||||
\(911\) | 3.42878 | − | 4.29955i | 0.113601 | − | 0.142451i | −0.721780 | − | 0.692122i | \(-0.756676\pi\) |
0.835381 | + | 0.549672i | \(0.185247\pi\) | |||||||
\(912\) | 12.7419 | − | 6.13617i | 0.421926 | − | 0.203189i | ||||
\(913\) | 24.3240 | + | 30.5013i | 0.805007 | + | 1.00945i | ||||
\(914\) | −12.6988 | + | 6.11541i | −0.420038 | + | 0.202280i | ||||
\(915\) | −0.445042 | + | 1.94986i | −0.0147126 | + | 0.0644602i | ||||
\(916\) | 31.8925 | − | 39.9920i | 1.05376 | − | 1.32137i | ||||
\(917\) | −6.19537 | + | 27.1437i | −0.204589 | + | 0.896364i | ||||
\(918\) | −1.77048 | − | 0.852618i | −0.0584345 | − | 0.0281406i | ||||
\(919\) | −28.8139 | − | 36.1315i | −0.950484 | − | 1.19187i | −0.981327 | − | 0.192345i | \(-0.938391\pi\) |
0.0308429 | − | 0.999524i | \(-0.490181\pi\) | |||||||
\(920\) | −3.70895 | − | 4.65087i | −0.122280 | − | 0.153335i | ||||
\(921\) | 5.20679 | + | 22.8124i | 0.171570 | + | 0.751696i | ||||
\(922\) | −13.6228 | − | 6.56041i | −0.448644 | − | 0.216056i | ||||
\(923\) | 59.2083 | − | 28.5132i | 1.94887 | − | 0.938525i | ||||
\(924\) | −11.6664 | − | 51.1137i | −0.383795 | − | 1.68152i | ||||
\(925\) | −3.36108 | − | 14.7258i | −0.110512 | − | 0.484183i | ||||
\(926\) | 2.56638 | − | 1.23590i | 0.0843363 | − | 0.0406142i | ||||
\(927\) | −0.975541 | − | 0.469796i | −0.0320410 | − | 0.0154301i | ||||
\(928\) | 6.21206 | + | 27.2168i | 0.203921 | + | 0.893436i | ||||
\(929\) | 37.4490 | + | 46.9595i | 1.22866 | + | 1.54069i | 0.747849 | + | 0.663869i | \(0.231087\pi\) |
0.480813 | + | 0.876823i | \(0.340342\pi\) | |||||||
\(930\) | 2.78621 | + | 3.49379i | 0.0913634 | + | 0.114566i | ||||
\(931\) | 5.69471 | + | 2.74243i | 0.186637 | + | 0.0898794i | ||||
\(932\) | 4.39612 | − | 19.2607i | 0.144000 | − | 0.630905i | ||||
\(933\) | −6.64795 | + | 8.33626i | −0.217644 | + | 0.272917i | ||||
\(934\) | 4.05539 | − | 17.7678i | 0.132696 | − | 0.581380i | ||||
\(935\) | −3.40581 | + | 1.64015i | −0.111382 | + | 0.0536387i | ||||
\(936\) | −1.03199 | − | 1.29408i | −0.0337317 | − | 0.0422982i | ||||
\(937\) | 29.1325 | − | 14.0295i | 0.951718 | − | 0.458323i | 0.107430 | − | 0.994213i | \(-0.465738\pi\) |
0.844288 | + | 0.535890i | \(0.180024\pi\) | |||||||
\(938\) | −5.67994 | + | 7.12242i | −0.185457 | + | 0.232555i | ||||
\(939\) | 37.0616 | 1.20946 | ||||||||
\(940\) | −12.8780 | −0.420034 | ||||||||
\(941\) | −17.3549 | + | 21.7623i | −0.565753 | + | 0.709431i | −0.979610 | − | 0.200911i | \(-0.935610\pi\) |
0.413857 | + | 0.910342i | \(0.364181\pi\) | |||||||
\(942\) | 5.37747 | + | 2.58965i | 0.175207 | + | 0.0843755i | ||||
\(943\) | 6.93602 | + | 30.3887i | 0.225868 | + | 0.989591i | ||||
\(944\) | 0.547425 | − | 2.39843i | 0.0178172 | − | 0.0780622i | ||||
\(945\) | −12.1293 | −0.394566 | ||||||||
\(946\) | 13.6923 | + | 7.16824i | 0.445176 | + | 0.233060i | ||||
\(947\) | −32.2707 | −1.04866 | −0.524328 | − | 0.851516i | \(-0.675683\pi\) | ||||
−0.524328 | + | 0.851516i | \(0.675683\pi\) | |||||||
\(948\) | −5.67241 | + | 24.8524i | −0.184231 | + | 0.807170i | ||||
\(949\) | 10.9770 | + | 48.0935i | 0.356330 | + | 1.56118i | ||||
\(950\) | −4.80947 | − | 2.31612i | −0.156040 | − | 0.0751448i | ||||
\(951\) | 20.6298 | − | 25.8690i | 0.668968 | − | 0.838859i | ||||
\(952\) | −4.59179 | −0.148821 | ||||||||
\(953\) | 15.0032 | 0.486003 | 0.243001 | − | 0.970026i | \(-0.421868\pi\) | ||||
0.243001 | + | 0.970026i | \(0.421868\pi\) | |||||||
\(954\) | −0.141908 | + | 0.177947i | −0.00459443 | + | 0.00576123i | ||||
\(955\) | −9.86831 | + | 4.75233i | −0.319331 | + | 0.153782i | ||||
\(956\) | −21.8192 | − | 27.3604i | −0.705682 | − | 0.884897i | ||||
\(957\) | 51.5870 | − | 24.8430i | 1.66757 | − | 0.803060i | ||||
\(958\) | 1.96572 | − | 8.61239i | 0.0635096 | − | 0.278254i | ||||
\(959\) | 11.5816 | − | 14.5228i | 0.373988 | − | 0.468967i | ||||
\(960\) | −1.16756 | + | 5.11543i | −0.0376829 | + | 0.165100i | ||||
\(961\) | −15.5726 | − | 7.49937i | −0.502342 | − | 0.241915i | ||||
\(962\) | −3.81013 | − | 4.77776i | −0.122844 | − | 0.154041i | ||||
\(963\) | 0.0990311 | + | 0.124181i | 0.00319123 | + | 0.00400168i | ||||
\(964\) | −1.40097 | − | 6.13805i | −0.0451222 | − | 0.197693i | ||||
\(965\) | 2.95377 | + | 1.42246i | 0.0950853 | + | 0.0457906i | ||||
\(966\) | −9.65764 | + | 4.65087i | −0.310729 | + | 0.149639i | ||||
\(967\) | 5.57822 | + | 24.4398i | 0.179383 | + | 0.785930i | 0.981915 | + | 0.189321i | \(0.0606287\pi\) |
−0.802532 | + | 0.596609i | \(0.796514\pi\) | |||||||
\(968\) | 6.41819 | + | 28.1199i | 0.206288 | + | 0.903809i | ||||
\(969\) | −3.97823 | + | 1.91581i | −0.127799 | + | 0.0615448i | ||||
\(970\) | −3.01573 | − | 1.45230i | −0.0968292 | − | 0.0466305i | ||||
\(971\) | −0.609252 | − | 2.66931i | −0.0195518 | − | 0.0856622i | 0.964211 | − | 0.265137i | \(-0.0854172\pi\) |
−0.983763 | + | 0.179475i | \(0.942560\pi\) | |||||||
\(972\) | 2.87651 | + | 3.60703i | 0.0922641 | + | 0.115696i | ||||
\(973\) | −13.5858 | − | 17.0360i | −0.435539 | − | 0.546149i | ||||
\(974\) | 5.77144 | + | 2.77938i | 0.184929 | + | 0.0890570i | ||||
\(975\) | 6.91939 | − | 30.3158i | 0.221598 | − | 0.970883i | ||||
\(976\) | −2.46011 | + | 3.08488i | −0.0787461 | + | 0.0987445i | ||||
\(977\) | 3.87986 | − | 16.9988i | 0.124128 | − | 0.543839i | −0.874175 | − | 0.485610i | \(-0.838597\pi\) |
0.998303 | − | 0.0582292i | \(-0.0185454\pi\) | |||||||
\(978\) | 2.41843 | − | 1.16465i | 0.0773328 | − | 0.0372415i | ||||
\(979\) | 46.5822 | + | 58.4122i | 1.48877 | + | 1.86686i | ||||
\(980\) | −2.98911 | + | 1.43948i | −0.0954838 | + | 0.0459826i | ||||
\(981\) | −0.289192 | + | 0.362636i | −0.00923320 | + | 0.0115781i | ||||
\(982\) | −17.1027 | −0.545770 | ||||||||
\(983\) | −51.2747 | −1.63541 | −0.817705 | − | 0.575638i | \(-0.804754\pi\) | ||||
−0.817705 | + | 0.575638i | \(0.804754\pi\) | |||||||
\(984\) | −13.5157 | + | 16.9482i | −0.430866 | + | 0.540289i | ||||
\(985\) | 6.20075 | + | 2.98612i | 0.197572 | + | 0.0951458i | ||||
\(986\) | −0.528876 | − | 2.31716i | −0.0168428 | − | 0.0737933i | ||||
\(987\) | −10.8949 | + | 47.7338i | −0.346789 | + | 1.51938i | ||||
\(988\) | 19.6485 | 0.625101 | ||||||||
\(989\) | −7.33190 | + | 27.7974i | −0.233141 | + | 0.883906i | ||||
\(990\) | −0.466812 | −0.0148363 | ||||||||
\(991\) | 10.1175 | − | 44.3277i | 0.321393 | − | 1.40812i | −0.513682 | − | 0.857980i | \(-0.671719\pi\) |
0.835076 | − | 0.550135i | \(-0.185424\pi\) | |||||||
\(992\) | 7.19428 | + | 31.5202i | 0.228419 | + | 1.00077i | ||||
\(993\) | −2.67629 | − | 1.28883i | −0.0849296 | − | 0.0408999i | ||||
\(994\) | 14.0368 | − | 17.6016i | 0.445221 | − | 0.558290i | ||||
\(995\) | 4.57865 | 0.145153 | ||||||||
\(996\) | −23.9191 | −0.757907 | ||||||||
\(997\) | 32.5386 | − | 40.8021i | 1.03051 | − | 1.29222i | 0.0750221 | − | 0.997182i | \(-0.476097\pi\) |
0.955486 | − | 0.295035i | \(-0.0953313\pi\) | |||||||
\(998\) | 8.46777 | − | 4.07786i | 0.268043 | − | 0.129083i | ||||
\(999\) | 10.7228 | + | 13.4460i | 0.339255 | + | 0.425412i |
(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 | 43.2.e.a.35.1 | yes | 6 | |
3.2 | odd | 2 | 387.2.u.c.379.1 | 6 | |||
4.3 | odd | 2 | 688.2.u.b.465.1 | 6 | |||
43.4 | even | 7 | 1849.2.a.k.1.2 | 3 | |||
43.16 | even | 7 | inner | 43.2.e.a.16.1 | ✓ | 6 | |
43.39 | odd | 14 | 1849.2.a.j.1.2 | 3 | |||
129.59 | odd | 14 | 387.2.u.c.145.1 | 6 | |||
172.59 | odd | 14 | 688.2.u.b.145.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.e.a.16.1 | ✓ | 6 | 43.16 | even | 7 | inner | |
43.2.e.a.35.1 | yes | 6 | 1.1 | even | 1 | trivial | |
387.2.u.c.145.1 | 6 | 129.59 | odd | 14 | |||
387.2.u.c.379.1 | 6 | 3.2 | odd | 2 | |||
688.2.u.b.145.1 | 6 | 172.59 | odd | 14 | |||
688.2.u.b.465.1 | 6 | 4.3 | odd | 2 | |||
1849.2.a.j.1.2 | 3 | 43.39 | odd | 14 | |||
1849.2.a.k.1.2 | 3 | 43.4 | even | 7 |