Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(4,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bo (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 319.33 | ||
Character | \(\chi\) | \(=\) | 525.319 |
Dual form | 525.2.bo.a.79.33 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.37398 | + | 1.23714i | 0.971554 | + | 0.874791i | 0.992157 | − | 0.124997i | \(-0.0398920\pi\) |
−0.0206032 | + | 0.999788i | \(0.506559\pi\) | |||||||
\(3\) | 0.994522 | − | 0.104528i | 0.574187 | − | 0.0603495i | ||||
\(4\) | 0.148258 | + | 1.41058i | 0.0741291 | + | 0.705292i | ||||
\(5\) | 2.13702 | − | 0.658144i | 0.955704 | − | 0.294331i | ||||
\(6\) | 1.49577 | + | 1.08674i | 0.610647 | + | 0.443661i | ||||
\(7\) | 1.69771 | + | 2.02923i | 0.641674 | + | 0.766977i | ||||
\(8\) | 0.632101 | − | 0.870012i | 0.223481 | − | 0.307596i | ||||
\(9\) | 0.978148 | − | 0.207912i | 0.326049 | − | 0.0693039i | ||||
\(10\) | 3.75045 | + | 1.73951i | 1.18600 | + | 0.550083i | ||||
\(11\) | −4.48694 | − | 0.953729i | −1.35286 | − | 0.287560i | −0.526251 | − | 0.850330i | \(-0.676403\pi\) |
−0.826614 | + | 0.562769i | \(0.809736\pi\) | |||||||
\(12\) | 0.294892 | + | 1.38736i | 0.0851280 | + | 0.400496i | ||||
\(13\) | −4.95205 | − | 1.60902i | −1.37345 | − | 0.446261i | −0.472940 | − | 0.881095i | \(-0.656807\pi\) |
−0.900511 | + | 0.434833i | \(0.856807\pi\) | |||||||
\(14\) | −0.177817 | + | 4.88844i | −0.0475236 | + | 1.30649i | ||||
\(15\) | 2.05652 | − | 0.877918i | 0.530990 | − | 0.226677i | ||||
\(16\) | 4.71954 | − | 1.00317i | 1.17989 | − | 0.250792i | ||||
\(17\) | 1.76948 | + | 3.97431i | 0.429161 | + | 0.963911i | 0.990650 | + | 0.136427i | \(0.0435619\pi\) |
−0.561489 | + | 0.827484i | \(0.689771\pi\) | |||||||
\(18\) | 1.60118 | + | 0.924439i | 0.377401 | + | 0.217892i | ||||
\(19\) | 0.367572 | − | 3.49722i | 0.0843268 | − | 0.802316i | −0.867862 | − | 0.496806i | \(-0.834506\pi\) |
0.952189 | − | 0.305511i | \(-0.0988272\pi\) | |||||||
\(20\) | 1.24520 | + | 2.91687i | 0.278435 | + | 0.652231i | ||||
\(21\) | 1.90052 | + | 1.84066i | 0.414728 | + | 0.401664i | ||||
\(22\) | −4.98509 | − | 6.86139i | −1.06283 | − | 1.46285i | ||||
\(23\) | −0.989862 | − | 0.891275i | −0.206400 | − | 0.185844i | 0.559447 | − | 0.828866i | \(-0.311014\pi\) |
−0.765847 | + | 0.643022i | \(0.777680\pi\) | |||||||
\(24\) | 0.537697 | − | 0.931319i | 0.109757 | − | 0.190105i | ||||
\(25\) | 4.13369 | − | 2.81293i | 0.826739 | − | 0.562586i | ||||
\(26\) | −4.81346 | − | 8.33715i | −0.943996 | − | 1.63505i | ||||
\(27\) | 0.951057 | − | 0.309017i | 0.183031 | − | 0.0594703i | ||||
\(28\) | −2.61070 | + | 2.69561i | −0.493376 | + | 0.509423i | ||||
\(29\) | −5.14421 | + | 3.73749i | −0.955255 | + | 0.694034i | −0.952044 | − | 0.305961i | \(-0.901022\pi\) |
−0.00321141 | + | 0.999995i | \(0.501022\pi\) | |||||||
\(30\) | 3.91173 | + | 1.33796i | 0.714181 | + | 0.244276i | ||||
\(31\) | −8.36555 | + | 3.72458i | −1.50250 | + | 0.668955i | −0.982678 | − | 0.185321i | \(-0.940667\pi\) |
−0.519820 | + | 0.854276i | \(0.674001\pi\) | |||||||
\(32\) | 5.86301 | + | 3.38501i | 1.03644 | + | 0.598391i | ||||
\(33\) | −4.56206 | − | 0.479491i | −0.794152 | − | 0.0834687i | ||||
\(34\) | −2.48555 | + | 7.64973i | −0.426268 | + | 1.31192i | ||||
\(35\) | 4.96356 | + | 3.21916i | 0.838996 | + | 0.544138i | ||||
\(36\) | 0.438295 | + | 1.34893i | 0.0730492 | + | 0.224822i | ||||
\(37\) | 1.39073 | + | 6.54286i | 0.228634 | + | 1.07564i | 0.931338 | + | 0.364156i | \(0.118643\pi\) |
−0.702704 | + | 0.711483i | \(0.748024\pi\) | |||||||
\(38\) | 4.83159 | − | 4.35038i | 0.783787 | − | 0.705725i | ||||
\(39\) | −5.09311 | − | 1.08257i | −0.815550 | − | 0.173351i | ||||
\(40\) | 0.778218 | − | 2.27525i | 0.123047 | − | 0.359748i | ||||
\(41\) | 1.56280 | − | 4.80982i | 0.244069 | − | 0.751167i | −0.751719 | − | 0.659483i | \(-0.770775\pi\) |
0.995788 | − | 0.0916840i | \(-0.0292250\pi\) | |||||||
\(42\) | 0.334138 | + | 4.88025i | 0.0515586 | + | 0.753039i | ||||
\(43\) | 7.40222i | 1.12883i | 0.825492 | + | 0.564414i | \(0.190898\pi\) | ||||
−0.825492 | + | 0.564414i | \(0.809102\pi\) | |||||||
\(44\) | 0.680088 | − | 6.47061i | 0.102527 | − | 0.975481i | ||||
\(45\) | 1.95348 | − | 1.08807i | 0.291208 | − | 0.162200i | ||||
\(46\) | −0.257421 | − | 2.44920i | −0.0379547 | − | 0.361115i | ||||
\(47\) | 1.77699 | − | 3.99118i | 0.259200 | − | 0.582173i | −0.736329 | − | 0.676623i | \(-0.763443\pi\) |
0.995530 | + | 0.0944499i | \(0.0301092\pi\) | |||||||
\(48\) | 4.58883 | − | 1.49100i | 0.662340 | − | 0.215207i | ||||
\(49\) | −1.23556 | + | 6.89009i | −0.176508 | + | 0.984299i | ||||
\(50\) | 9.15963 | + | 1.24904i | 1.29537 | + | 0.176640i | ||||
\(51\) | 2.17521 | + | 3.76757i | 0.304590 | + | 0.527566i | ||||
\(52\) | 1.53547 | − | 7.22383i | 0.212932 | − | 1.00176i | ||||
\(53\) | −2.88380 | + | 0.303099i | −0.396120 | + | 0.0416339i | −0.300495 | − | 0.953783i | \(-0.597152\pi\) |
−0.0956255 | + | 0.995417i | \(0.530485\pi\) | |||||||
\(54\) | 1.68903 | + | 0.752007i | 0.229849 | + | 0.102335i | ||||
\(55\) | −10.2164 | + | 0.914919i | −1.37758 | + | 0.123368i | ||||
\(56\) | 2.83858 | − | 0.194350i | 0.379321 | − | 0.0259712i | ||||
\(57\) | − | 3.51648i | − | 0.465769i | ||||||
\(58\) | −11.6919 | − | 1.22886i | −1.53522 | − | 0.161358i | ||||
\(59\) | −5.87299 | − | 6.52262i | −0.764598 | − | 0.849173i | 0.227611 | − | 0.973752i | \(-0.426908\pi\) |
−0.992210 | + | 0.124579i | \(0.960242\pi\) | |||||||
\(60\) | 1.54327 | + | 2.77073i | 0.199236 | + | 0.357700i | ||||
\(61\) | 1.24863 | − | 1.38674i | 0.159870 | − | 0.177554i | −0.657888 | − | 0.753116i | \(-0.728550\pi\) |
0.817758 | + | 0.575562i | \(0.195217\pi\) | |||||||
\(62\) | −16.1020 | − | 5.23185i | −2.04495 | − | 0.664446i | ||||
\(63\) | 2.08251 | + | 1.63191i | 0.262372 | + | 0.205602i | ||||
\(64\) | 0.885945 | + | 2.72666i | 0.110743 | + | 0.340832i | ||||
\(65\) | −11.6416 | − | 0.179339i | −1.44396 | − | 0.0222443i | ||||
\(66\) | −5.67500 | − | 6.30272i | −0.698544 | − | 0.775812i | ||||
\(67\) | −1.70392 | − | 3.82706i | −0.208166 | − | 0.467550i | 0.779045 | − | 0.626969i | \(-0.215705\pi\) |
−0.987211 | + | 0.159419i | \(0.949038\pi\) | |||||||
\(68\) | −5.34375 | + | 3.08522i | −0.648025 | + | 0.374137i | ||||
\(69\) | −1.07760 | − | 0.782924i | −0.129728 | − | 0.0942530i | ||||
\(70\) | 2.83730 | + | 10.5637i | 0.339122 | + | 1.26261i | ||||
\(71\) | 4.86788 | − | 3.53672i | 0.577711 | − | 0.419732i | −0.260187 | − | 0.965558i | \(-0.583784\pi\) |
0.837898 | + | 0.545827i | \(0.183784\pi\) | |||||||
\(72\) | 0.437402 | − | 0.982422i | 0.0515484 | − | 0.115780i | ||||
\(73\) | 0.217500 | − | 1.02326i | 0.0254564 | − | 0.119763i | −0.963585 | − | 0.267403i | \(-0.913834\pi\) |
0.989041 | + | 0.147640i | \(0.0471678\pi\) | |||||||
\(74\) | −6.18360 | + | 10.7103i | −0.718829 | + | 1.24505i | ||||
\(75\) | 3.81702 | − | 3.22961i | 0.440751 | − | 0.372923i | ||||
\(76\) | 4.98761 | 0.572118 | ||||||||
\(77\) | −5.68220 | − | 10.7242i | −0.647546 | − | 1.22214i | ||||
\(78\) | −5.65856 | − | 7.78834i | −0.640705 | − | 0.881855i | ||||
\(79\) | 3.17196 | + | 1.41225i | 0.356874 | + | 0.158890i | 0.577339 | − | 0.816504i | \(-0.304091\pi\) |
−0.220466 | + | 0.975395i | \(0.570758\pi\) | |||||||
\(80\) | 9.42552 | − | 5.24993i | 1.05381 | − | 0.586960i | ||||
\(81\) | 0.913545 | − | 0.406737i | 0.101505 | − | 0.0451930i | ||||
\(82\) | 8.09770 | − | 4.67521i | 0.894241 | − | 0.516290i | ||||
\(83\) | 9.52873 | − | 13.1152i | 1.04591 | − | 1.43958i | 0.153616 | − | 0.988131i | \(-0.450908\pi\) |
0.892298 | − | 0.451447i | \(-0.149092\pi\) | |||||||
\(84\) | −2.31463 | + | 2.95374i | −0.252547 | + | 0.322279i | ||||
\(85\) | 6.39707 | + | 7.32860i | 0.693859 | + | 0.794898i | ||||
\(86\) | −9.15759 | + | 10.1705i | −0.987489 | + | 1.09672i | ||||
\(87\) | −4.72535 | + | 4.25473i | −0.506611 | + | 0.456155i | ||||
\(88\) | −3.66596 | + | 3.30084i | −0.390792 | + | 0.351871i | ||||
\(89\) | −5.74373 | + | 6.37905i | −0.608834 | + | 0.676178i | −0.966202 | − | 0.257785i | \(-0.917007\pi\) |
0.357369 | + | 0.933963i | \(0.383674\pi\) | |||||||
\(90\) | 4.03016 | + | 0.921739i | 0.424816 | + | 0.0971598i | ||||
\(91\) | −5.14208 | − | 12.7805i | −0.539036 | − | 1.33976i | ||||
\(92\) | 1.11046 | − | 1.52842i | 0.115774 | − | 0.159349i | ||||
\(93\) | −7.93040 | + | 4.57862i | −0.822344 | + | 0.474781i | ||||
\(94\) | 7.37921 | − | 3.28544i | 0.761107 | − | 0.338867i | ||||
\(95\) | −1.51616 | − | 7.71553i | −0.155555 | − | 0.791597i | ||||
\(96\) | 6.18472 | + | 2.75361i | 0.631225 | + | 0.281040i | ||||
\(97\) | 7.37410 | + | 10.1496i | 0.748727 | + | 1.03053i | 0.998069 | + | 0.0621186i | \(0.0197857\pi\) |
−0.249342 | + | 0.968416i | \(0.580214\pi\) | |||||||
\(98\) | −10.2217 | + | 7.93833i | −1.03254 | + | 0.801892i | ||||
\(99\) | −4.58719 | −0.461029 | ||||||||
\(100\) | 4.58073 | + | 5.41388i | 0.458073 | + | 0.541388i | ||||
\(101\) | 5.29370 | − | 9.16895i | 0.526742 | − | 0.912345i | −0.472772 | − | 0.881185i | \(-0.656747\pi\) |
0.999514 | − | 0.0311599i | \(-0.00992009\pi\) | |||||||
\(102\) | −1.67232 | + | 7.86763i | −0.165584 | + | 0.779012i | ||||
\(103\) | 5.36228 | − | 12.0439i | 0.528362 | − | 1.18672i | −0.430434 | − | 0.902622i | \(-0.641639\pi\) |
0.958795 | − | 0.284097i | \(-0.0916939\pi\) | |||||||
\(104\) | −4.53006 | + | 3.29128i | −0.444209 | + | 0.322737i | ||||
\(105\) | 5.27287 | + | 2.68270i | 0.514579 | + | 0.261804i | ||||
\(106\) | −4.33727 | − | 3.15121i | −0.421273 | − | 0.306073i | ||||
\(107\) | 7.48580 | − | 4.32193i | 0.723680 | − | 0.417817i | −0.0924258 | − | 0.995720i | \(-0.529462\pi\) |
0.816106 | + | 0.577903i | \(0.196129\pi\) | |||||||
\(108\) | 0.576896 | + | 1.29573i | 0.0555119 | + | 0.124682i | ||||
\(109\) | 3.62516 | + | 4.02615i | 0.347228 | + | 0.385635i | 0.891308 | − | 0.453397i | \(-0.149788\pi\) |
−0.544081 | + | 0.839033i | \(0.683121\pi\) | |||||||
\(110\) | −15.1690 | − | 11.3820i | −1.44631 | − | 1.08523i | ||||
\(111\) | 2.06702 | + | 6.36164i | 0.196193 | + | 0.603820i | ||||
\(112\) | 10.0481 | + | 7.87395i | 0.949455 | + | 0.744018i | ||||
\(113\) | −2.17211 | − | 0.705761i | −0.204335 | − | 0.0663924i | 0.205061 | − | 0.978749i | \(-0.434261\pi\) |
−0.409396 | + | 0.912357i | \(0.634261\pi\) | |||||||
\(114\) | 4.35038 | − | 4.83159i | 0.407451 | − | 0.452520i | ||||
\(115\) | −2.70194 | − | 1.25320i | −0.251957 | − | 0.116862i | ||||
\(116\) | −6.03471 | − | 6.70222i | −0.560308 | − | 0.622286i | ||||
\(117\) | −5.17837 | − | 0.544268i | −0.478740 | − | 0.0503176i | ||||
\(118\) | − | 16.2277i | − | 1.49388i | ||||||
\(119\) | −5.06073 | + | 10.3379i | −0.463916 | + | 0.947673i | ||||
\(120\) | 0.536127 | − | 2.34413i | 0.0489414 | − | 0.213989i | ||||
\(121\) | 9.17407 | + | 4.08456i | 0.834006 | + | 0.371323i | ||||
\(122\) | 3.43119 | − | 0.360632i | 0.310645 | − | 0.0326501i | ||||
\(123\) | 1.05148 | − | 4.94683i | 0.0948088 | − | 0.446040i | ||||
\(124\) | −6.49410 | − | 11.2481i | −0.583187 | − | 1.01011i | ||||
\(125\) | 6.98246 | − | 8.73185i | 0.624530 | − | 0.781001i | ||||
\(126\) | 0.842433 | + | 4.81859i | 0.0750499 | + | 0.429274i | ||||
\(127\) | −14.8580 | + | 4.82765i | −1.31843 | + | 0.428385i | −0.881957 | − | 0.471331i | \(-0.843774\pi\) |
−0.436477 | + | 0.899716i | \(0.643774\pi\) | |||||||
\(128\) | 3.35124 | − | 7.52701i | 0.296211 | − | 0.665300i | ||||
\(129\) | 0.773743 | + | 7.36167i | 0.0681242 | + | 0.648159i | ||||
\(130\) | −15.7735 | − | 14.6487i | −1.38343 | − | 1.28478i | ||||
\(131\) | 0.299188 | − | 2.84659i | 0.0261402 | − | 0.248708i | −0.973647 | − | 0.228062i | \(-0.926761\pi\) |
0.999787 | − | 0.0206457i | \(-0.00657219\pi\) | |||||||
\(132\) | − | 6.50625i | − | 0.566296i | ||||||
\(133\) | 7.72069 | − | 5.19137i | 0.669469 | − | 0.450149i | ||||
\(134\) | 2.39346 | − | 7.36631i | 0.206763 | − | 0.636352i | ||||
\(135\) | 1.82905 | − | 1.28631i | 0.157419 | − | 0.110708i | ||||
\(136\) | 4.57618 | + | 0.972698i | 0.392404 | + | 0.0834081i | ||||
\(137\) | −3.88145 | + | 3.49487i | −0.331615 | + | 0.298587i | −0.818070 | − | 0.575118i | \(-0.804956\pi\) |
0.486456 | + | 0.873705i | \(0.338289\pi\) | |||||||
\(138\) | −0.512022 | − | 2.40887i | −0.0435862 | − | 0.205057i | ||||
\(139\) | 0.101263 | + | 0.311656i | 0.00858902 | + | 0.0264343i | 0.955259 | − | 0.295770i | \(-0.0955762\pi\) |
−0.946670 | + | 0.322204i | \(0.895576\pi\) | |||||||
\(140\) | −3.80501 | + | 7.47879i | −0.321582 | + | 0.632073i | ||||
\(141\) | 1.35006 | − | 4.15506i | 0.113696 | − | 0.349919i | ||||
\(142\) | 11.0638 | + | 1.16285i | 0.928455 | + | 0.0975845i | ||||
\(143\) | 20.6850 | + | 11.9425i | 1.72977 | + | 0.998681i | ||||
\(144\) | 4.40784 | − | 1.96250i | 0.367320 | − | 0.163541i | ||||
\(145\) | −8.53346 | + | 11.3727i | −0.708665 | + | 0.944452i | ||||
\(146\) | 1.56475 | − | 1.13686i | 0.129500 | − | 0.0940873i | ||||
\(147\) | −0.508577 | + | 6.98150i | −0.0419468 | + | 0.575824i | ||||
\(148\) | −9.02306 | + | 2.93177i | −0.741691 | + | 0.240990i | ||||
\(149\) | 8.71042 | + | 15.0869i | 0.713586 | + | 1.23597i | 0.963503 | + | 0.267699i | \(0.0862633\pi\) |
−0.249917 | + | 0.968267i | \(0.580403\pi\) | |||||||
\(150\) | 9.24001 | + | 0.284753i | 0.754443 | + | 0.0232500i | ||||
\(151\) | −9.88486 | + | 17.1211i | −0.804419 | + | 1.39329i | 0.112264 | + | 0.993678i | \(0.464190\pi\) |
−0.916683 | + | 0.399615i | \(0.869144\pi\) | |||||||
\(152\) | −2.81028 | − | 2.53039i | −0.227944 | − | 0.205241i | ||||
\(153\) | 2.55711 | + | 3.51956i | 0.206730 | + | 0.284540i | ||||
\(154\) | 5.46011 | − | 21.7646i | 0.439988 | − | 1.75384i | ||||
\(155\) | −15.4260 | + | 13.4652i | −1.23905 | + | 1.08155i | ||||
\(156\) | 0.771965 | − | 7.34475i | 0.0618066 | − | 0.588051i | ||||
\(157\) | −15.0228 | − | 8.67340i | −1.19895 | − | 0.692212i | −0.238626 | − | 0.971111i | \(-0.576697\pi\) |
−0.960320 | + | 0.278899i | \(0.910030\pi\) | |||||||
\(158\) | 2.61108 | + | 5.86457i | 0.207726 | + | 0.466560i | ||||
\(159\) | −2.83632 | + | 0.602878i | −0.224935 | + | 0.0478113i | ||||
\(160\) | 14.7572 | + | 3.37512i | 1.16666 | + | 0.266827i | ||||
\(161\) | 0.128105 | − | 3.52179i | 0.0100961 | − | 0.277556i | ||||
\(162\) | 1.75839 | + | 0.571335i | 0.138152 | + | 0.0448883i | ||||
\(163\) | 2.07912 | + | 9.78150i | 0.162849 | + | 0.766146i | 0.981440 | + | 0.191769i | \(0.0614224\pi\) |
−0.818591 | + | 0.574377i | \(0.805244\pi\) | |||||||
\(164\) | 7.01635 | + | 1.49137i | 0.547885 | + | 0.116457i | ||||
\(165\) | −10.0648 | + | 1.97781i | −0.783541 | + | 0.153972i | ||||
\(166\) | 29.3177 | − | 6.23166i | 2.27549 | − | 0.483671i | ||||
\(167\) | 9.41613 | − | 12.9602i | 0.728642 | − | 1.00289i | −0.270551 | − | 0.962706i | \(-0.587206\pi\) |
0.999192 | − | 0.0401835i | \(-0.0127942\pi\) | |||||||
\(168\) | 2.80272 | − | 0.489998i | 0.216234 | − | 0.0378042i | ||||
\(169\) | 11.4166 | + | 8.29466i | 0.878202 | + | 0.638051i | ||||
\(170\) | −0.277036 | + | 17.9835i | −0.0212477 | + | 1.37927i | ||||
\(171\) | −0.367572 | − | 3.49722i | −0.0281089 | − | 0.267439i | ||||
\(172\) | −10.4414 | + | 1.09744i | −0.796153 | + | 0.0836790i | ||||
\(173\) | −9.75523 | − | 8.78365i | −0.741676 | − | 0.667808i | 0.209027 | − | 0.977910i | \(-0.432970\pi\) |
−0.950703 | + | 0.310101i | \(0.899637\pi\) | |||||||
\(174\) | −11.7563 | −0.891240 | ||||||||
\(175\) | 12.7259 | + | 3.61267i | 0.961988 | + | 0.273092i | ||||
\(176\) | −22.1331 | −1.66834 | ||||||||
\(177\) | −6.52262 | − | 5.87299i | −0.490270 | − | 0.441441i | ||||
\(178\) | −15.7836 | + | 1.65892i | −1.18303 | + | 0.124341i | ||||
\(179\) | −0.236192 | − | 2.24722i | −0.0176538 | − | 0.167965i | 0.982143 | − | 0.188137i | \(-0.0602451\pi\) |
−0.999797 | + | 0.0201727i | \(0.993578\pi\) | |||||||
\(180\) | 1.82444 | + | 2.59424i | 0.135986 | + | 0.193363i | ||||
\(181\) | 12.8813 | + | 9.35880i | 0.957458 | + | 0.695634i | 0.952559 | − | 0.304354i | \(-0.0984406\pi\) |
0.00489896 | + | 0.999988i | \(0.498441\pi\) | |||||||
\(182\) | 8.74615 | − | 23.9217i | 0.648308 | − | 1.77319i | ||||
\(183\) | 1.09683 | − | 1.50966i | 0.0810802 | − | 0.111597i | ||||
\(184\) | −1.40111 | + | 0.297816i | −0.103291 | + | 0.0219553i | ||||
\(185\) | 7.27815 | + | 13.0669i | 0.535100 | + | 0.960698i | ||||
\(186\) | −16.5606 | − | 3.52007i | −1.21429 | − | 0.258104i | ||||
\(187\) | −4.14912 | − | 19.5201i | −0.303414 | − | 1.42745i | ||||
\(188\) | 5.89334 | + | 1.91486i | 0.429816 | + | 0.139656i | ||||
\(189\) | 2.24169 | + | 1.40529i | 0.163059 | + | 0.102220i | ||||
\(190\) | 7.46201 | − | 12.4767i | 0.541351 | − | 0.905157i | ||||
\(191\) | −7.03258 | + | 1.49482i | −0.508860 | + | 0.108161i | −0.455185 | − | 0.890397i | \(-0.650427\pi\) |
−0.0536749 | + | 0.998558i | \(0.517093\pi\) | |||||||
\(192\) | 1.16611 | + | 2.61912i | 0.0841564 | + | 0.189018i | ||||
\(193\) | 21.7491 | + | 12.5569i | 1.56554 | + | 0.903863i | 0.996679 | + | 0.0814264i | \(0.0259475\pi\) |
0.568857 | + | 0.822436i | \(0.307386\pi\) | |||||||
\(194\) | −2.42456 | + | 23.0682i | −0.174074 | + | 1.65620i | ||||
\(195\) | −11.5966 | + | 1.03852i | −0.830447 | + | 0.0743700i | ||||
\(196\) | −9.90223 | − | 0.721342i | −0.707302 | − | 0.0515244i | ||||
\(197\) | −12.5851 | − | 17.3219i | −0.896653 | − | 1.23414i | −0.971523 | − | 0.236944i | \(-0.923854\pi\) |
0.0748700 | − | 0.997193i | \(-0.476146\pi\) | |||||||
\(198\) | −6.30272 | − | 5.67500i | −0.447915 | − | 0.403304i | ||||
\(199\) | 5.16486 | − | 8.94580i | 0.366127 | − | 0.634151i | −0.622829 | − | 0.782358i | \(-0.714017\pi\) |
0.988956 | + | 0.148207i | \(0.0473501\pi\) | |||||||
\(200\) | 0.165626 | − | 5.37442i | 0.0117115 | − | 0.380029i | ||||
\(201\) | −2.09462 | − | 3.62799i | −0.147743 | − | 0.255898i | ||||
\(202\) | 18.6167 | − | 6.04895i | 1.30987 | − | 0.425602i | ||||
\(203\) | −16.3176 | − | 4.09362i | −1.14527 | − | 0.287316i | ||||
\(204\) | −4.99198 | + | 3.62689i | −0.349509 | + | 0.253933i | ||||
\(205\) | 0.174188 | − | 11.3072i | 0.0121658 | − | 0.789731i | ||||
\(206\) | 22.2677 | − | 9.91421i | 1.55146 | − | 0.690756i | ||||
\(207\) | −1.15354 | − | 0.665995i | −0.0801764 | − | 0.0462899i | ||||
\(208\) | −24.9855 | − | 2.62608i | −1.73243 | − | 0.182086i | ||||
\(209\) | −4.98467 | + | 15.3412i | −0.344797 | + | 1.06118i | ||||
\(210\) | 3.92597 | + | 10.2093i | 0.270917 | + | 0.704506i | ||||
\(211\) | 4.13859 | + | 12.7373i | 0.284912 | + | 0.876870i | 0.986425 | + | 0.164213i | \(0.0525085\pi\) |
−0.701512 | + | 0.712657i | \(0.747492\pi\) | |||||||
\(212\) | −0.855094 | − | 4.02290i | −0.0587281 | − | 0.276294i | ||||
\(213\) | 4.47152 | − | 4.02618i | 0.306384 | − | 0.275869i | ||||
\(214\) | 15.6322 | + | 3.32273i | 1.06860 | + | 0.227137i | ||||
\(215\) | 4.87173 | + | 15.8187i | 0.332249 | + | 1.07882i | ||||
\(216\) | 0.332315 | − | 1.02276i | 0.0226112 | − | 0.0695901i | ||||
\(217\) | −21.7603 | − | 10.6524i | −1.47719 | − | 0.723130i | ||||
\(218\) | 10.0167i | 0.678417i | ||||||||
\(219\) | 0.109349 | − | 1.04039i | 0.00738912 | − | 0.0703028i | ||||
\(220\) | −2.80523 | − | 14.2754i | −0.189129 | − | 0.962447i | ||||
\(221\) | −2.36780 | − | 22.5281i | −0.159275 | − | 1.51540i | ||||
\(222\) | −5.03019 | + | 11.2980i | −0.337605 | + | 0.758272i | ||||
\(223\) | −27.7025 | + | 9.00109i | −1.85510 | + | 0.602758i | −0.859267 | + | 0.511527i | \(0.829080\pi\) |
−0.995830 | + | 0.0912307i | \(0.970920\pi\) | |||||||
\(224\) | 3.08472 | + | 17.6442i | 0.206107 | + | 1.17890i | ||||
\(225\) | 3.45852 | − | 3.61091i | 0.230568 | − | 0.240727i | ||||
\(226\) | −2.11132 | − | 3.65691i | −0.140443 | − | 0.243254i | ||||
\(227\) | 0.446824 | − | 2.10214i | 0.0296568 | − | 0.139524i | −0.960828 | − | 0.277144i | \(-0.910612\pi\) |
0.990485 | + | 0.137620i | \(0.0439453\pi\) | |||||||
\(228\) | 4.96029 | − | 0.521347i | 0.328503 | − | 0.0345271i | ||||
\(229\) | 11.3543 | + | 5.05526i | 0.750313 | + | 0.334061i | 0.746014 | − | 0.665930i | \(-0.231965\pi\) |
0.00429891 | + | 0.999991i | \(0.498632\pi\) | |||||||
\(230\) | −2.16204 | − | 5.06456i | −0.142561 | − | 0.333947i | ||||
\(231\) | −6.77205 | − | 10.0715i | −0.445568 | − | 0.662656i | ||||
\(232\) | 6.83799i | 0.448936i | ||||||||
\(233\) | 21.9667 | + | 2.30880i | 1.43909 | + | 0.151254i | 0.791702 | − | 0.610907i | \(-0.209195\pi\) |
0.647387 | + | 0.762161i | \(0.275862\pi\) | |||||||
\(234\) | −6.44166 | − | 7.15419i | −0.421105 | − | 0.467684i | ||||
\(235\) | 1.17068 | − | 9.69874i | 0.0763670 | − | 0.632676i | ||||
\(236\) | 8.32998 | − | 9.25138i | 0.542235 | − | 0.602213i | ||||
\(237\) | 3.30221 | + | 1.07295i | 0.214501 | + | 0.0696957i | ||||
\(238\) | −19.7428 | + | 7.94328i | −1.27974 | + | 0.514886i | ||||
\(239\) | 0.559366 | + | 1.72155i | 0.0361824 | + | 0.111358i | 0.967516 | − | 0.252808i | \(-0.0813541\pi\) |
−0.931334 | + | 0.364166i | \(0.881354\pi\) | |||||||
\(240\) | 8.82512 | − | 6.20641i | 0.569659 | − | 0.400622i | ||||
\(241\) | 13.9259 | + | 15.4662i | 0.897044 | + | 0.996268i | 0.999999 | + | 0.00158197i | \(0.000503558\pi\) |
−0.102955 | + | 0.994686i | \(0.532830\pi\) | |||||||
\(242\) | 7.55185 | + | 16.9617i | 0.485452 | + | 1.09034i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | 2.14123 | + | 1.55570i | 0.137078 | + | 0.0995932i | ||||
\(245\) | 1.89427 | + | 15.5374i | 0.121020 | + | 0.992650i | ||||
\(246\) | 7.56464 | − | 5.49604i | 0.482304 | − | 0.350414i | ||||
\(247\) | −7.44732 | + | 16.7270i | −0.473862 | + | 1.06431i | ||||
\(248\) | −2.04744 | + | 9.63245i | −0.130013 | + | 0.611661i | ||||
\(249\) | 8.10562 | − | 14.0394i | 0.513673 | − | 0.889708i | ||||
\(250\) | 20.3963 | − | 3.35914i | 1.28998 | − | 0.212451i | ||||
\(251\) | −9.88802 | −0.624126 | −0.312063 | − | 0.950061i | \(-0.601020\pi\) | ||||
−0.312063 | + | 0.950061i | \(0.601020\pi\) | |||||||
\(252\) | −1.99320 | + | 3.17950i | −0.125560 | + | 0.200290i | ||||
\(253\) | 3.59142 | + | 4.94316i | 0.225791 | + | 0.310774i | ||||
\(254\) | −26.3871 | − | 11.7483i | −1.65568 | − | 0.737155i | ||||
\(255\) | 7.12807 | + | 6.61977i | 0.446377 | + | 0.414546i | ||||
\(256\) | 19.1548 | − | 8.52825i | 1.19717 | − | 0.533015i | ||||
\(257\) | −25.2023 | + | 14.5506i | −1.57208 | + | 0.907639i | −0.576162 | + | 0.817336i | \(0.695450\pi\) |
−0.995914 | + | 0.0903027i | \(0.971217\pi\) | |||||||
\(258\) | −8.04432 | + | 11.0721i | −0.500817 | + | 0.689316i | ||||
\(259\) | −10.9159 | + | 13.9300i | −0.678282 | + | 0.865567i | ||||
\(260\) | −1.47299 | − | 16.4480i | −0.0913509 | − | 1.02006i | ||||
\(261\) | −4.25473 | + | 4.72535i | −0.263361 | + | 0.292492i | ||||
\(262\) | 3.93271 | − | 3.54103i | 0.242964 | − | 0.218766i | ||||
\(263\) | 2.83785 | − | 2.55521i | 0.174989 | − | 0.157561i | −0.576982 | − | 0.816757i | \(-0.695770\pi\) |
0.751971 | + | 0.659196i | \(0.229103\pi\) | |||||||
\(264\) | −3.30084 | + | 3.66596i | −0.203153 | + | 0.225624i | ||||
\(265\) | −5.96325 | + | 2.54568i | −0.366319 | + | 0.156380i | ||||
\(266\) | 17.0306 | + | 2.41872i | 1.04421 | + | 0.148301i | ||||
\(267\) | −5.04547 | + | 6.94449i | −0.308778 | + | 0.424996i | ||||
\(268\) | 5.14577 | − | 2.97091i | 0.314328 | − | 0.181477i | ||||
\(269\) | 16.8922 | − | 7.52091i | 1.02994 | − | 0.458558i | 0.179014 | − | 0.983847i | \(-0.442709\pi\) |
0.850924 | + | 0.525289i | \(0.176043\pi\) | |||||||
\(270\) | 4.10443 | + | 0.495424i | 0.249787 | + | 0.0301505i | ||||
\(271\) | 17.6754 | + | 7.86960i | 1.07370 | + | 0.478044i | 0.865947 | − | 0.500136i | \(-0.166717\pi\) |
0.207758 | + | 0.978180i | \(0.433383\pi\) | |||||||
\(272\) | 12.3380 | + | 16.9818i | 0.748102 | + | 1.02967i | ||||
\(273\) | −6.44983 | − | 12.1730i | −0.390362 | − | 0.736743i | ||||
\(274\) | −9.65670 | −0.583383 | ||||||||
\(275\) | −21.2304 | + | 8.67904i | −1.28024 | + | 0.523366i | ||||
\(276\) | 0.944616 | − | 1.63612i | 0.0568592 | − | 0.0984831i | ||||
\(277\) | 4.64214 | − | 21.8396i | 0.278919 | − | 1.31221i | −0.586004 | − | 0.810308i | \(-0.699300\pi\) |
0.864923 | − | 0.501904i | \(-0.167367\pi\) | |||||||
\(278\) | −0.246428 | + | 0.553487i | −0.0147798 | + | 0.0331960i | ||||
\(279\) | −7.40836 | + | 5.38249i | −0.443527 | + | 0.322241i | ||||
\(280\) | 5.93819 | − | 2.28353i | 0.354875 | − | 0.136467i | ||||
\(281\) | 8.08684 | + | 5.87544i | 0.482421 | + | 0.350499i | 0.802262 | − | 0.596972i | \(-0.203630\pi\) |
−0.319841 | + | 0.947471i | \(0.603630\pi\) | |||||||
\(282\) | 6.99536 | − | 4.03877i | 0.416568 | − | 0.240506i | ||||
\(283\) | −2.21131 | − | 4.96669i | −0.131449 | − | 0.295239i | 0.835815 | − | 0.549011i | \(-0.184995\pi\) |
−0.967264 | + | 0.253772i | \(0.918329\pi\) | |||||||
\(284\) | 5.71054 | + | 6.34220i | 0.338858 | + | 0.376340i | ||||
\(285\) | −2.31435 | − | 7.51478i | −0.137090 | − | 0.445137i | ||||
\(286\) | 13.6463 | + | 41.9991i | 0.806924 | + | 2.48346i | ||||
\(287\) | 12.4134 | − | 4.99439i | 0.732741 | − | 0.294809i | ||||
\(288\) | 6.43867 | + | 2.09205i | 0.379402 | + | 0.123275i | ||||
\(289\) | −1.28885 | + | 1.43141i | −0.0758147 | + | 0.0842008i | ||||
\(290\) | −25.7945 | + | 5.06883i | −1.51470 | + | 0.297652i | ||||
\(291\) | 8.39463 | + | 9.32318i | 0.492102 | + | 0.546534i | ||||
\(292\) | 1.47563 | + | 0.155095i | 0.0863550 | + | 0.00907627i | ||||
\(293\) | 11.4588i | 0.669428i | 0.942320 | + | 0.334714i | \(0.108640\pi\) | ||||
−0.942320 | + | 0.334714i | \(0.891360\pi\) | |||||||
\(294\) | −9.33588 | + | 8.96329i | −0.544480 | + | 0.522750i | ||||
\(295\) | −16.8435 | − | 10.0737i | −0.980667 | − | 0.586512i | ||||
\(296\) | 6.57145 | + | 2.92580i | 0.381958 | + | 0.170058i | ||||
\(297\) | −4.56206 | + | 0.479491i | −0.264717 | + | 0.0278229i | ||||
\(298\) | −6.69663 | + | 31.5052i | −0.387926 | + | 1.82505i | ||||
\(299\) | 3.46776 | + | 6.00634i | 0.200546 | + | 0.347356i | ||||
\(300\) | 5.12154 | + | 4.90540i | 0.295692 | + | 0.283214i | ||||
\(301\) | −15.0208 | + | 12.5668i | −0.865785 | + | 0.724340i | ||||
\(302\) | −34.7628 | + | 11.2951i | −2.00038 | + | 0.649962i | ||||
\(303\) | 4.30628 | − | 9.67206i | 0.247389 | − | 0.555646i | ||||
\(304\) | −1.77353 | − | 16.8740i | −0.101719 | − | 0.967790i | ||||
\(305\) | 1.75566 | − | 3.78526i | 0.100529 | − | 0.216744i | ||||
\(306\) | −0.840764 | + | 7.99934i | −0.0480633 | + | 0.457292i | ||||
\(307\) | − | 11.8874i | − | 0.678449i | −0.940706 | − | 0.339224i | \(-0.889835\pi\) | ||
0.940706 | − | 0.339224i | \(-0.110165\pi\) | |||||||
\(308\) | 14.2849 | − | 9.60516i | 0.813960 | − | 0.547305i | ||||
\(309\) | 4.07398 | − | 12.5384i | 0.231761 | − | 0.713286i | ||||
\(310\) | −37.8535 | − | 0.583135i | −2.14994 | − | 0.0331199i | ||||
\(311\) | −8.34559 | − | 1.77391i | −0.473235 | − | 0.100589i | −0.0348808 | − | 0.999391i | \(-0.511105\pi\) |
−0.438354 | + | 0.898802i | \(0.644438\pi\) | |||||||
\(312\) | −4.16121 | + | 3.74677i | −0.235582 | + | 0.212119i | ||||
\(313\) | 1.40992 | + | 6.63317i | 0.0796935 | + | 0.374929i | 0.999862 | − | 0.0165933i | \(-0.00528205\pi\) |
−0.920169 | + | 0.391522i | \(0.871949\pi\) | |||||||
\(314\) | −9.91083 | − | 30.5024i | −0.559300 | − | 1.72135i | ||||
\(315\) | 5.52440 | + | 2.11684i | 0.311265 | + | 0.119270i | ||||
\(316\) | −1.52182 | + | 4.68369i | −0.0856093 | + | 0.263478i | ||||
\(317\) | 24.9723 | + | 2.62469i | 1.40258 | + | 0.147417i | 0.775407 | − | 0.631461i | \(-0.217545\pi\) |
0.627175 | + | 0.778879i | \(0.284211\pi\) | |||||||
\(318\) | −4.64290 | − | 2.68058i | −0.260361 | − | 0.150320i | ||||
\(319\) | 26.6463 | − | 11.8637i | 1.49191 | − | 0.664240i | ||||
\(320\) | 3.68781 | + | 5.24384i | 0.206155 | + | 0.293140i | ||||
\(321\) | 6.99303 | − | 5.08073i | 0.390313 | − | 0.283579i | ||||
\(322\) | 4.53296 | − | 4.68040i | 0.252612 | − | 0.260828i | ||||
\(323\) | 14.5494 | − | 4.72739i | 0.809551 | − | 0.263039i | ||||
\(324\) | 0.709177 | + | 1.22833i | 0.0393987 | + | 0.0682406i | ||||
\(325\) | −24.9963 | + | 7.27859i | −1.38655 | + | 0.403743i | ||||
\(326\) | −9.24441 | + | 16.0118i | −0.512001 | + | 0.886811i | ||||
\(327\) | 4.02615 | + | 3.62516i | 0.222647 | + | 0.200472i | ||||
\(328\) | −3.19675 | − | 4.39995i | −0.176511 | − | 0.242947i | ||||
\(329\) | 11.1158 | − | 3.16995i | 0.612836 | − | 0.174765i | ||||
\(330\) | −16.2757 | − | 9.73407i | −0.895946 | − | 0.535843i | ||||
\(331\) | −1.31758 | + | 12.5359i | −0.0724206 | + | 0.689036i | 0.896732 | + | 0.442574i | \(0.145935\pi\) |
−0.969153 | + | 0.246462i | \(0.920732\pi\) | |||||||
\(332\) | 19.9128 | + | 11.4966i | 1.09285 | + | 0.630960i | ||||
\(333\) | 2.72067 | + | 6.11073i | 0.149092 | + | 0.334866i | ||||
\(334\) | 28.9712 | − | 6.15802i | 1.58523 | − | 0.336952i | ||||
\(335\) | −6.16006 | − | 7.05707i | −0.336560 | − | 0.385569i | ||||
\(336\) | 10.8161 | + | 6.78051i | 0.590066 | + | 0.369907i | ||||
\(337\) | −24.3311 | − | 7.90566i | −1.32540 | − | 0.430649i | −0.441055 | − | 0.897480i | \(-0.645395\pi\) |
−0.884346 | + | 0.466831i | \(0.845395\pi\) | |||||||
\(338\) | 5.42459 | + | 25.5207i | 0.295059 | + | 1.38814i | ||||
\(339\) | −2.23398 | − | 0.474848i | −0.121333 | − | 0.0257902i | ||||
\(340\) | −9.38918 | + | 10.1101i | −0.509200 | + | 0.548298i | ||||
\(341\) | 41.0880 | − | 8.73353i | 2.22504 | − | 0.472947i | ||||
\(342\) | 3.82151 | − | 5.25986i | 0.206644 | − | 0.284421i | ||||
\(343\) | −16.0792 | + | 9.19016i | −0.868196 | + | 0.496222i | ||||
\(344\) | 6.44002 | + | 4.67895i | 0.347223 | + | 0.252272i | ||||
\(345\) | −2.81813 | − | 0.963905i | −0.151723 | − | 0.0518949i | ||||
\(346\) | −2.53692 | − | 24.1372i | −0.136386 | − | 1.29762i | ||||
\(347\) | 5.94502 | − | 0.624847i | 0.319146 | − | 0.0335436i | 0.0563986 | − | 0.998408i | \(-0.482038\pi\) |
0.262747 | + | 0.964865i | \(0.415372\pi\) | |||||||
\(348\) | −6.70222 | − | 6.03471i | −0.359277 | − | 0.323494i | ||||
\(349\) | −15.0732 | −0.806851 | −0.403426 | − | 0.915012i | \(-0.632181\pi\) | ||||
−0.403426 | + | 0.915012i | \(0.632181\pi\) | |||||||
\(350\) | 13.0158 | + | 20.7075i | 0.695724 | + | 1.10686i | ||||
\(351\) | −5.20689 | −0.277923 | ||||||||
\(352\) | −23.0786 | − | 20.7801i | −1.23009 | − | 1.10758i | ||||
\(353\) | −6.13419 | + | 0.644730i | −0.326490 | + | 0.0343155i | −0.266356 | − | 0.963875i | \(-0.585820\pi\) |
−0.0601344 | + | 0.998190i | \(0.519153\pi\) | |||||||
\(354\) | −1.69626 | − | 16.1388i | −0.0901550 | − | 0.857768i | ||||
\(355\) | 8.07507 | − | 10.7618i | 0.428580 | − | 0.571177i | ||||
\(356\) | −9.84974 | − | 7.15626i | −0.522035 | − | 0.379281i | ||||
\(357\) | −3.95240 | + | 10.8103i | −0.209183 | + | 0.572139i | ||||
\(358\) | 2.45560 | − | 3.37984i | 0.129782 | − | 0.178630i | ||||
\(359\) | 10.7770 | − | 2.29073i | 0.568791 | − | 0.120900i | 0.0854655 | − | 0.996341i | \(-0.472762\pi\) |
0.483325 | + | 0.875441i | \(0.339429\pi\) | |||||||
\(360\) | 0.288162 | − | 2.38733i | 0.0151875 | − | 0.125823i | ||||
\(361\) | 6.48940 | + | 1.37936i | 0.341547 | + | 0.0725981i | ||||
\(362\) | 6.12053 | + | 28.7948i | 0.321688 | + | 1.51342i | ||||
\(363\) | 9.55076 | + | 3.10323i | 0.501285 | + | 0.162877i | ||||
\(364\) | 17.2656 | − | 9.14814i | 0.904963 | − | 0.479493i | ||||
\(365\) | −0.208649 | − | 2.32986i | −0.0109212 | − | 0.121951i | ||||
\(366\) | 3.37469 | − | 0.717313i | 0.176398 | − | 0.0374946i | ||||
\(367\) | 1.89756 | + | 4.26199i | 0.0990517 | + | 0.222474i | 0.956274 | − | 0.292473i | \(-0.0944782\pi\) |
−0.857222 | + | 0.514947i | \(0.827812\pi\) | |||||||
\(368\) | −5.56580 | − | 3.21341i | −0.290137 | − | 0.167511i | ||||
\(369\) | 0.528636 | − | 5.02964i | 0.0275197 | − | 0.261832i | ||||
\(370\) | −6.16554 | + | 26.9578i | −0.320531 | + | 1.40147i | ||||
\(371\) | −5.51092 | − | 5.33732i | −0.286112 | − | 0.277100i | ||||
\(372\) | −7.63427 | − | 10.5077i | −0.395818 | − | 0.544797i | ||||
\(373\) | 19.8456 | + | 17.8691i | 1.02757 | + | 0.925226i | 0.997235 | − | 0.0743137i | \(-0.0236766\pi\) |
0.0303328 | + | 0.999540i | \(0.490343\pi\) | |||||||
\(374\) | 18.4483 | − | 31.9534i | 0.953938 | − | 1.65227i | ||||
\(375\) | 6.03148 | − | 9.41388i | 0.311464 | − | 0.486131i | ||||
\(376\) | −2.34914 | − | 4.06883i | −0.121148 | − | 0.209834i | ||||
\(377\) | 31.4880 | − | 10.2311i | 1.62172 | − | 0.526928i | ||||
\(378\) | 1.34150 | + | 4.70413i | 0.0689992 | + | 0.241954i | ||||
\(379\) | −18.8732 | + | 13.7122i | −0.969450 | + | 0.704347i | −0.955326 | − | 0.295554i | \(-0.904496\pi\) |
−0.0141238 | + | 0.999900i | \(0.504496\pi\) | |||||||
\(380\) | 10.6586 | − | 3.28257i | 0.546775 | − | 0.168392i | ||||
\(381\) | −14.2720 | + | 6.35429i | −0.731175 | + | 0.325540i | ||||
\(382\) | −11.5120 | − | 6.64643i | −0.589003 | − | 0.340061i | ||||
\(383\) | 20.2705 | + | 2.13051i | 1.03577 | + | 0.108864i | 0.607124 | − | 0.794607i | \(-0.292323\pi\) |
0.428649 | + | 0.903471i | \(0.358990\pi\) | |||||||
\(384\) | 2.54609 | − | 7.83607i | 0.129930 | − | 0.399883i | ||||
\(385\) | −19.2010 | − | 19.1781i | −0.978575 | − | 0.977407i | ||||
\(386\) | 14.3484 | + | 44.1597i | 0.730312 | + | 2.24767i | ||||
\(387\) | 1.53901 | + | 7.24046i | 0.0782322 | + | 0.368053i | ||||
\(388\) | −13.2236 | + | 11.9065i | −0.671325 | + | 0.604463i | ||||
\(389\) | 16.7908 | + | 3.56899i | 0.851326 | + | 0.180955i | 0.612856 | − | 0.790195i | \(-0.290021\pi\) |
0.238470 | + | 0.971150i | \(0.423354\pi\) | |||||||
\(390\) | −17.2183 | − | 12.9197i | −0.871882 | − | 0.654213i | ||||
\(391\) | 1.79067 | − | 5.51110i | 0.0905579 | − | 0.278709i | ||||
\(392\) | 5.21347 | + | 5.43019i | 0.263320 | + | 0.274266i | ||||
\(393\) | − | 2.86227i | − | 0.144382i | ||||||
\(394\) | 4.13792 | − | 39.3697i | 0.208465 | − | 1.98342i | ||||
\(395\) | 7.70800 | + | 0.930392i | 0.387832 | + | 0.0468131i | ||||
\(396\) | −0.680088 | − | 6.47061i | −0.0341757 | − | 0.325160i | ||||
\(397\) | −8.65430 | + | 19.4379i | −0.434347 | + | 0.975559i | 0.555249 | + | 0.831684i | \(0.312623\pi\) |
−0.989596 | + | 0.143875i | \(0.954044\pi\) | |||||||
\(398\) | 18.1637 | − | 5.90173i | 0.910462 | − | 0.295827i | ||||
\(399\) | 7.13575 | − | 5.96996i | 0.357234 | − | 0.298872i | ||||
\(400\) | 16.6873 | − | 17.4225i | 0.834365 | − | 0.871127i | ||||
\(401\) | 7.87791 | + | 13.6449i | 0.393404 | + | 0.681396i | 0.992896 | − | 0.118985i | \(-0.0379640\pi\) |
−0.599492 | + | 0.800381i | \(0.704631\pi\) | |||||||
\(402\) | 1.61036 | − | 7.57614i | 0.0803173 | − | 0.377863i | ||||
\(403\) | 47.4195 | − | 4.98399i | 2.36214 | − | 0.248270i | ||||
\(404\) | 13.7184 | + | 6.10783i | 0.682516 | + | 0.303876i | ||||
\(405\) | 1.68457 | − | 1.47045i | 0.0837070 | − | 0.0730672i | ||||
\(406\) | −17.3557 | − | 25.8117i | −0.861351 | − | 1.28102i | ||||
\(407\) | − | 30.6838i | − | 1.52094i | ||||||
\(408\) | 4.65279 | + | 0.489028i | 0.230347 | + | 0.0242105i | ||||
\(409\) | −7.90515 | − | 8.77955i | −0.390884 | − | 0.434121i | 0.515296 | − | 0.857012i | \(-0.327682\pi\) |
−0.906180 | + | 0.422891i | \(0.861015\pi\) | |||||||
\(410\) | 14.2280 | − | 15.3205i | 0.702669 | − | 0.756623i | ||||
\(411\) | −3.49487 | + | 3.88145i | −0.172389 | + | 0.191458i | ||||
\(412\) | 17.7839 | + | 5.77834i | 0.876150 | + | 0.284679i | ||||
\(413\) | 3.26526 | − | 22.9912i | 0.160673 | − | 1.13132i | ||||
\(414\) | −0.761013 | − | 2.34216i | −0.0374017 | − | 0.115111i | ||||
\(415\) | 11.7314 | − | 34.2986i | 0.575872 | − | 1.68365i | ||||
\(416\) | −23.5873 | − | 26.1964i | −1.15646 | − | 1.28438i | ||||
\(417\) | 0.133285 | + | 0.299364i | 0.00652701 | + | 0.0146599i | ||||
\(418\) | −25.8282 | + | 14.9119i | −1.26330 | + | 0.729365i | ||||
\(419\) | −29.3864 | − | 21.3505i | −1.43562 | − | 1.04304i | −0.988936 | − | 0.148346i | \(-0.952605\pi\) |
−0.446683 | − | 0.894692i | \(-0.647395\pi\) | |||||||
\(420\) | −3.00242 | + | 7.83555i | −0.146503 | + | 0.382336i | ||||
\(421\) | −24.2598 | + | 17.6258i | −1.18235 | + | 0.859028i | −0.992435 | − | 0.122772i | \(-0.960822\pi\) |
−0.189916 | + | 0.981800i | \(0.560822\pi\) | |||||||
\(422\) | −10.0715 | + | 22.6208i | −0.490271 | + | 1.10117i | ||||
\(423\) | 0.908343 | − | 4.27342i | 0.0441652 | − | 0.207781i | ||||
\(424\) | −1.55915 | + | 2.70053i | −0.0757191 | + | 0.131149i | ||||
\(425\) | 18.4939 | + | 11.4511i | 0.897087 | + | 0.555462i | ||||
\(426\) | 11.1248 | 0.538996 | ||||||||
\(427\) | 4.93382 | + | 0.179468i | 0.238764 | + | 0.00868506i | ||||
\(428\) | 7.20627 | + | 9.91859i | 0.348328 | + | 0.479433i | ||||
\(429\) | 21.8200 | + | 9.71489i | 1.05348 | + | 0.469040i | ||||
\(430\) | −12.8763 | + | 27.7616i | −0.620949 | + | 1.33879i | ||||
\(431\) | −22.4541 | + | 9.99720i | −1.08158 | + | 0.481548i | −0.868602 | − | 0.495510i | \(-0.834981\pi\) |
−0.212973 | + | 0.977058i | \(0.568315\pi\) | |||||||
\(432\) | 4.17856 | − | 2.41249i | 0.201041 | − | 0.116071i | ||||
\(433\) | 21.1483 | − | 29.1081i | 1.01632 | − | 1.39885i | 0.101569 | − | 0.994829i | \(-0.467614\pi\) |
0.914752 | − | 0.404017i | \(-0.132386\pi\) | |||||||
\(434\) | −16.7199 | − | 41.5568i | −0.802579 | − | 1.99479i | ||||
\(435\) | −7.29794 | + | 12.2024i | −0.349910 | + | 0.585060i | ||||
\(436\) | −5.14176 | + | 5.71051i | −0.246246 | + | 0.273484i | ||||
\(437\) | −3.48083 | + | 3.13415i | −0.166511 | + | 0.149927i | ||||
\(438\) | 1.43735 | − | 1.29419i | 0.0686792 | − | 0.0618390i | ||||
\(439\) | −9.87003 | + | 10.9618i | −0.471071 | + | 0.523177i | −0.931118 | − | 0.364717i | \(-0.881166\pi\) |
0.460048 | + | 0.887894i | \(0.347832\pi\) | |||||||
\(440\) | −5.66179 | + | 9.46669i | −0.269915 | + | 0.451307i | ||||
\(441\) | 0.223974 | + | 6.99642i | 0.0106654 | + | 0.333163i | ||||
\(442\) | 24.6171 | − | 33.8825i | 1.17092 | − | 1.61163i | ||||
\(443\) | −5.17212 | + | 2.98613i | −0.245735 | + | 0.141875i | −0.617810 | − | 0.786328i | \(-0.711980\pi\) |
0.372075 | + | 0.928203i | \(0.378646\pi\) | |||||||
\(444\) | −8.66717 | + | 3.85887i | −0.411326 | + | 0.183134i | ||||
\(445\) | −8.07611 | + | 17.4124i | −0.382844 | + | 0.825425i | ||||
\(446\) | −49.1984 | − | 21.9046i | −2.32961 | − | 1.03721i | ||||
\(447\) | 10.2397 | + | 14.0938i | 0.484322 | + | 0.666612i | ||||
\(448\) | −4.02894 | + | 6.42686i | −0.190350 | + | 0.303641i | ||||
\(449\) | −5.51136 | −0.260097 | −0.130049 | − | 0.991508i | \(-0.541513\pi\) | ||||
−0.130049 | + | 0.991508i | \(0.541513\pi\) | |||||||
\(450\) | 9.21915 | − | 0.682651i | 0.434595 | − | 0.0321805i | ||||
\(451\) | −11.5995 | + | 20.0909i | −0.546198 | + | 0.946043i | ||||
\(452\) | 0.673502 | − | 3.16858i | 0.0316788 | − | 0.149037i | ||||
\(453\) | −8.04107 | + | 18.0605i | −0.377802 | + | 0.848558i | ||||
\(454\) | 3.21458 | − | 2.33553i | 0.150868 | − | 0.109612i | ||||
\(455\) | −19.4001 | − | 23.9279i | −0.909492 | − | 1.12176i | ||||
\(456\) | −3.05938 | − | 2.22277i | −0.143269 | − | 0.104091i | ||||
\(457\) | 23.4854 | − | 13.5593i | 1.09860 | − | 0.634278i | 0.162748 | − | 0.986668i | \(-0.447964\pi\) |
0.935853 | + | 0.352390i | \(0.114631\pi\) | |||||||
\(458\) | 9.34657 | + | 20.9927i | 0.436736 | + | 0.980926i | ||||
\(459\) | 2.91100 | + | 3.23299i | 0.135874 | + | 0.150903i | ||||
\(460\) | 1.36716 | − | 3.99711i | 0.0637441 | − | 0.186366i | ||||
\(461\) | 6.52364 | + | 20.0777i | 0.303836 | + | 0.935112i | 0.980109 | + | 0.198460i | \(0.0635941\pi\) |
−0.676273 | + | 0.736651i | \(0.736406\pi\) | |||||||
\(462\) | 3.15518 | − | 22.2161i | 0.146792 | − | 1.03359i | ||||
\(463\) | −12.3877 | − | 4.02501i | −0.575706 | − | 0.187058i | 0.00667019 | − | 0.999978i | \(-0.497877\pi\) |
−0.582376 | + | 0.812920i | \(0.697877\pi\) | |||||||
\(464\) | −20.5290 | + | 22.7997i | −0.953034 | + | 1.05845i | ||||
\(465\) | −13.9340 | + | 15.0039i | −0.646175 | + | 0.695791i | ||||
\(466\) | 27.3257 | + | 30.3482i | 1.26584 | + | 1.40585i | ||||
\(467\) | −11.3678 | − | 1.19481i | −0.526041 | − | 0.0552892i | −0.162214 | − | 0.986756i | \(-0.551863\pi\) |
−0.363827 | + | 0.931466i | \(0.618530\pi\) | |||||||
\(468\) | − | 7.38521i | − | 0.341382i | ||||||
\(469\) | 4.87323 | − | 9.95488i | 0.225025 | − | 0.459674i | ||||
\(470\) | 13.6072 | − | 11.8776i | 0.627654 | − | 0.547874i | ||||
\(471\) | −15.8471 | − | 7.05558i | −0.730195 | − | 0.325104i | ||||
\(472\) | −9.38708 | + | 0.986622i | −0.432076 | + | 0.0454130i | ||||
\(473\) | 7.05971 | − | 33.2133i | 0.324606 | − | 1.52715i | ||||
\(474\) | 3.20979 | + | 5.55951i | 0.147430 | + | 0.255357i | ||||
\(475\) | −8.31800 | − | 15.4904i | −0.381656 | − | 0.710747i | ||||
\(476\) | −15.3328 | − | 5.60590i | −0.702776 | − | 0.256946i | ||||
\(477\) | −2.75776 | + | 0.896052i | −0.126269 | + | 0.0410274i | ||||
\(478\) | −1.36124 | + | 3.05740i | −0.0622617 | + | 0.139842i | ||||
\(479\) | 3.10542 | + | 29.5461i | 0.141890 | + | 1.35000i | 0.801323 | + | 0.598233i | \(0.204130\pi\) |
−0.659432 | + | 0.751764i | \(0.729203\pi\) | |||||||
\(480\) | 15.0291 | + | 1.81409i | 0.685983 | + | 0.0828013i | ||||
\(481\) | 3.64063 | − | 34.6382i | 0.165998 | − | 1.57937i | ||||
\(482\) | 38.4786i | 1.75265i | ||||||||
\(483\) | −0.240724 | − | 3.51588i | −0.0109533 | − | 0.159978i | ||||
\(484\) | −4.40148 | + | 13.5464i | −0.200067 | + | 0.615743i | ||||
\(485\) | 22.4385 | + | 16.8366i | 1.01888 | + | 0.764512i | ||||
\(486\) | 1.80848 | + | 0.384404i | 0.0820342 | + | 0.0174369i | ||||
\(487\) | 1.04603 | − | 0.941850i | 0.0474001 | − | 0.0426793i | −0.645090 | − | 0.764106i | \(-0.723180\pi\) |
0.692490 | + | 0.721427i | \(0.256514\pi\) | |||||||
\(488\) | −0.417223 | − | 1.96288i | −0.0188868 | − | 0.0888554i | ||||
\(489\) | 3.09018 | + | 9.51059i | 0.139743 | + | 0.430084i | ||||
\(490\) | −16.6193 | + | 23.6917i | −0.750784 | + | 1.07028i | ||||
\(491\) | 13.3990 | − | 41.2380i | 0.604690 | − | 1.86104i | 0.105780 | − | 0.994390i | \(-0.466266\pi\) |
0.498909 | − | 0.866654i | \(-0.333734\pi\) | |||||||
\(492\) | 7.13380 | + | 0.749793i | 0.321617 | + | 0.0338033i | ||||
\(493\) | −23.9565 | − | 13.8313i | −1.07894 | − | 0.622929i | ||||
\(494\) | −30.9261 | + | 13.7692i | −1.39143 | + | 0.619505i | ||||
\(495\) | −9.80290 | + | 3.01903i | −0.440607 | + | 0.135695i | ||||
\(496\) | −35.7452 | + | 25.9704i | −1.60501 | + | 1.16611i | ||||
\(497\) | 15.4411 | + | 3.87372i | 0.692627 | + | 0.173760i | ||||
\(498\) | 28.5057 | − | 9.26205i | 1.27737 | − | 0.415042i | ||||
\(499\) | −6.48365 | − | 11.2300i | −0.290248 | − | 0.502724i | 0.683620 | − | 0.729838i | \(-0.260404\pi\) |
−0.973868 | + | 0.227114i | \(0.927071\pi\) | |||||||
\(500\) | 13.3522 | + | 8.55477i | 0.597129 | + | 0.382581i | ||||
\(501\) | 8.00983 | − | 13.8734i | 0.357853 | − | 0.619820i | ||||
\(502\) | −13.5860 | − | 12.2329i | −0.606373 | − | 0.545980i | ||||
\(503\) | −21.3975 | − | 29.4511i | −0.954066 | − | 1.31316i | −0.949698 | − | 0.313168i | \(-0.898610\pi\) |
−0.00436824 | − | 0.999990i | \(-0.501390\pi\) | |||||||
\(504\) | 2.73614 | − | 0.780278i | 0.121878 | − | 0.0347563i | ||||
\(505\) | 5.27823 | − | 23.0782i | 0.234878 | − | 1.02697i | ||||
\(506\) | −1.18084 | + | 11.2349i | −0.0524947 | + | 0.499453i | ||||
\(507\) | 12.2211 | + | 7.05586i | 0.542758 | + | 0.313362i | ||||
\(508\) | −9.01263 | − | 20.2427i | −0.399871 | − | 0.898124i | ||||
\(509\) | −4.83688 | + | 1.02811i | −0.214391 | + | 0.0455702i | −0.313855 | − | 0.949471i | \(-0.601621\pi\) |
0.0994639 | + | 0.995041i | \(0.468287\pi\) | |||||||
\(510\) | 1.60426 | + | 17.9139i | 0.0710380 | + | 0.793241i | ||||
\(511\) | 2.44568 | − | 1.29584i | 0.108190 | − | 0.0573244i | ||||
\(512\) | 21.1968 | + | 6.88727i | 0.936777 | + | 0.304377i | ||||
\(513\) | −0.731117 | − | 3.43964i | −0.0322796 | − | 0.151864i | ||||
\(514\) | −52.6287 | − | 11.1866i | −2.32135 | − | 0.493418i | ||||
\(515\) | 3.53268 | − | 29.2672i | 0.155669 | − | 1.28967i | ||||
\(516\) | −10.2695 | + | 2.18286i | −0.452091 | + | 0.0960949i | ||||
\(517\) | −11.7797 | + | 16.2134i | −0.518073 | + | 0.713066i | ||||
\(518\) | −32.2317 | + | 5.63505i | −1.41618 | + | 0.247590i | ||||
\(519\) | −10.6199 | − | 7.71583i | −0.466163 | − | 0.338687i | ||||
\(520\) | −7.51468 | + | 10.0150i | −0.329541 | + | 0.439185i | ||||
\(521\) | 2.00150 | + | 19.0430i | 0.0876874 | + | 0.834290i | 0.946653 | + | 0.322256i | \(0.104441\pi\) |
−0.858965 | + | 0.512034i | \(0.828892\pi\) | |||||||
\(522\) | −11.6919 | + | 1.22886i | −0.511739 | + | 0.0537859i | ||||
\(523\) | 0.403975 | + | 0.363741i | 0.0176646 | + | 0.0159053i | 0.677916 | − | 0.735140i | \(-0.262883\pi\) |
−0.660251 | + | 0.751045i | \(0.729550\pi\) | |||||||
\(524\) | 4.05971 | 0.177349 | ||||||||
\(525\) | 13.0338 | + | 2.26266i | 0.568842 | + | 0.0987507i | ||||
\(526\) | 7.06031 | 0.307844 | ||||||||
\(527\) | −29.6053 | − | 26.6567i | −1.28963 | − | 1.16118i | ||||
\(528\) | −22.0118 | + | 2.31354i | −0.957942 | + | 0.100684i | ||||
\(529\) | −2.21870 | − | 21.1095i | −0.0964652 | − | 0.917805i | ||||
\(530\) | −11.3428 | − | 3.87965i | −0.492699 | − | 0.168521i | ||||
\(531\) | −7.10078 | − | 5.15902i | −0.308148 | − | 0.223882i | ||||
\(532\) | 8.46752 | + | 10.1210i | 0.367113 | + | 0.438802i | ||||
\(533\) | −15.4782 | + | 21.3039i | −0.670434 | + | 0.922773i | ||||
\(534\) | −15.5237 | + | 3.29967i | −0.671777 | + | 0.142791i | ||||
\(535\) | 13.1528 | − | 14.1628i | 0.568647 | − | 0.612310i | ||||
\(536\) | −4.40664 | − | 0.936659i | −0.190338 | − | 0.0404575i | ||||
\(537\) | −0.469796 | − | 2.21022i | −0.0202732 | − | 0.0953779i | ||||
\(538\) | 32.5141 | + | 10.5645i | 1.40178 | + | 0.455467i | ||||
\(539\) | 12.1152 | − | 29.7371i | 0.521837 | − | 1.28087i | ||||
\(540\) | 2.08561 | + | 2.38932i | 0.0897506 | + | 0.102820i | ||||
\(541\) | −40.2093 | + | 8.54676i | −1.72873 | + | 0.367454i | −0.961690 | − | 0.274140i | \(-0.911607\pi\) |
−0.767045 | + | 0.641594i | \(0.778274\pi\) | |||||||
\(542\) | 14.5499 | + | 32.6797i | 0.624973 | + | 1.40371i | ||||
\(543\) | 13.7890 | + | 7.96107i | 0.591742 | + | 0.341642i | ||||
\(544\) | −3.07862 | + | 29.2911i | −0.131995 | + | 1.25584i | ||||
\(545\) | 10.3968 | + | 6.21808i | 0.445351 | + | 0.266353i | ||||
\(546\) | 6.19774 | − | 24.7049i | 0.265239 | − | 1.05727i | ||||
\(547\) | 12.1759 | + | 16.7586i | 0.520603 | + | 0.716548i | 0.985662 | − | 0.168731i | \(-0.0539671\pi\) |
−0.465059 | + | 0.885279i | \(0.653967\pi\) | |||||||
\(548\) | −5.50527 | − | 4.95696i | −0.235173 | − | 0.211751i | ||||
\(549\) | 0.933021 | − | 1.61604i | 0.0398204 | − | 0.0689709i | ||||
\(550\) | −39.9075 | − | 14.3402i | −1.70166 | − | 0.611467i | ||||
\(551\) | 11.1799 | + | 19.3642i | 0.476281 | + | 0.824943i | ||||
\(552\) | −1.36231 | + | 0.442641i | −0.0579837 | + | 0.0188400i | ||||
\(553\) | 2.51930 | + | 8.83423i | 0.107131 | + | 0.375670i | ||||
\(554\) | 33.3969 | − | 24.2643i | 1.41890 | − | 1.03089i | ||||
\(555\) | 8.60414 | + | 12.2345i | 0.365226 | + | 0.519328i | ||||
\(556\) | −0.424603 | + | 0.189046i | −0.0180072 | + | 0.00801732i | ||||
\(557\) | −9.81155 | − | 5.66470i | −0.415729 | − | 0.240021i | 0.277520 | − | 0.960720i | \(-0.410488\pi\) |
−0.693248 | + | 0.720699i | \(0.743821\pi\) | |||||||
\(558\) | −16.8379 | − | 1.76973i | −0.712804 | − | 0.0749187i | ||||
\(559\) | 11.9103 | − | 36.6561i | 0.503752 | − | 1.55039i | ||||
\(560\) | 26.6551 | + | 10.2137i | 1.12638 | + | 0.431607i | ||||
\(561\) | −6.16680 | − | 18.9795i | −0.260362 | − | 0.801313i | ||||
\(562\) | 3.84245 | + | 18.0773i | 0.162084 | + | 0.762546i | ||||
\(563\) | 11.4106 | − | 10.2741i | 0.480898 | − | 0.433002i | −0.392689 | − | 0.919672i | \(-0.628455\pi\) |
0.873586 | + | 0.486669i | \(0.161788\pi\) | |||||||
\(564\) | 6.06122 | + | 1.28835i | 0.255223 | + | 0.0542494i | ||||
\(565\) | −5.10633 | − | 0.0786632i | −0.214825 | − | 0.00330939i | ||||
\(566\) | 3.10619 | − | 9.55987i | 0.130563 | − | 0.401831i | ||||
\(567\) | 2.37630 | + | 1.16327i | 0.0997952 | + | 0.0488529i | ||||
\(568\) | − | 6.47068i | − | 0.271504i | ||||||
\(569\) | −1.90250 | + | 18.1011i | −0.0797569 | + | 0.758836i | 0.879423 | + | 0.476041i | \(0.157928\pi\) |
−0.959180 | + | 0.282796i | \(0.908738\pi\) | |||||||
\(570\) | 6.11696 | − | 13.1884i | 0.256211 | − | 0.552400i | ||||
\(571\) | −4.67323 | − | 44.4628i | −0.195569 | − | 1.86071i | −0.449229 | − | 0.893417i | \(-0.648301\pi\) |
0.253660 | − | 0.967293i | \(-0.418366\pi\) | |||||||
\(572\) | −13.7792 | + | 30.9485i | −0.576135 | + | 1.29402i | ||||
\(573\) | −6.83780 | + | 2.22174i | −0.285653 | + | 0.0928144i | ||||
\(574\) | 23.2346 | + | 8.49495i | 0.969794 | + | 0.354572i | ||||
\(575\) | −6.59888 | − | 0.899845i | −0.275192 | − | 0.0375261i | ||||
\(576\) | 1.43349 | + | 2.48288i | 0.0597287 | + | 0.103453i | ||||
\(577\) | 5.33103 | − | 25.0805i | 0.221934 | − | 1.04412i | −0.716214 | − | 0.697881i | \(-0.754126\pi\) |
0.938148 | − | 0.346235i | \(-0.112540\pi\) | |||||||
\(578\) | −3.54172 | + | 0.372250i | −0.147316 | + | 0.0154836i | ||||
\(579\) | 22.9425 | + | 10.2147i | 0.953459 | + | 0.424507i | ||||
\(580\) | −17.3073 | − | 10.3511i | −0.718647 | − | 0.429804i | ||||
\(581\) | 42.7907 | − | 2.92977i | 1.77526 | − | 0.121547i | ||||
\(582\) | 23.1952i | 0.961474i | ||||||||
\(583\) | 13.2285 | + | 1.39037i | 0.547869 | + | 0.0575834i | ||||
\(584\) | −0.752764 | − | 0.836029i | −0.0311496 | − | 0.0345951i | ||||
\(585\) | −11.4245 | + | 2.24500i | −0.472344 | + | 0.0928194i | ||||
\(586\) | −14.1761 | + | 15.7442i | −0.585609 | + | 0.650385i | ||||
\(587\) | −7.25671 | − | 2.35785i | −0.299517 | − | 0.0973188i | 0.155404 | − | 0.987851i | \(-0.450332\pi\) |
−0.454920 | + | 0.890532i | \(0.650332\pi\) | |||||||
\(588\) | −9.92339 | + | 0.317675i | −0.409234 | + | 0.0131007i | ||||
\(589\) | 9.95073 | + | 30.6252i | 0.410013 | + | 1.26189i | ||||
\(590\) | −10.6802 | − | 34.6789i | −0.439695 | − | 1.42771i | ||||
\(591\) | −14.3268 | − | 15.9115i | −0.589327 | − | 0.654514i | ||||
\(592\) | 13.1272 | + | 29.4842i | 0.539524 | + | 1.21179i | ||||
\(593\) | −9.91637 | + | 5.72522i | −0.407216 | + | 0.235106i | −0.689593 | − | 0.724197i | \(-0.742211\pi\) |
0.282377 | + | 0.959304i | \(0.408877\pi\) | |||||||
\(594\) | −6.86139 | − | 4.98509i | −0.281526 | − | 0.204541i | ||||
\(595\) | −4.01104 | + | 25.4230i | −0.164437 | + | 1.04224i | ||||
\(596\) | −19.9899 | + | 14.5235i | −0.818819 | + | 0.594907i | ||||
\(597\) | 4.20148 | − | 9.43667i | 0.171955 | − | 0.386217i | ||||
\(598\) | −2.66604 | + | 12.5427i | −0.109023 | + | 0.512911i | ||||
\(599\) | −14.7349 | + | 25.5216i | −0.602053 | + | 1.04279i | 0.390457 | + | 0.920621i | \(0.372317\pi\) |
−0.992510 | + | 0.122165i | \(0.961016\pi\) | |||||||
\(600\) | −0.397062 | − | 5.36229i | −0.0162100 | − | 0.218915i | ||||
\(601\) | 9.03917 | 0.368716 | 0.184358 | − | 0.982859i | \(-0.440979\pi\) | ||||
0.184358 | + | 0.982859i | \(0.440979\pi\) | |||||||
\(602\) | −36.1853 | − | 1.31624i | −1.47480 | − | 0.0536460i | ||||
\(603\) | −2.46237 | − | 3.38916i | −0.100276 | − | 0.138017i | ||||
\(604\) | −25.6162 | − | 11.4051i | −1.04231 | − | 0.464066i | ||||
\(605\) | 22.2934 | + | 2.69092i | 0.906355 | + | 0.109401i | ||||
\(606\) | 17.8825 | − | 7.96179i | 0.726426 | − | 0.323426i | ||||
\(607\) | −10.7625 | + | 6.21372i | −0.436836 | + | 0.252207i | −0.702255 | − | 0.711926i | \(-0.747823\pi\) |
0.265419 | + | 0.964133i | \(0.414490\pi\) | |||||||
\(608\) | 13.9932 | − | 19.2600i | 0.567498 | − | 0.781095i | ||||
\(609\) | −16.6561 | − | 2.36554i | −0.674940 | − | 0.0958564i | ||||
\(610\) | 7.09516 | − | 3.02889i | 0.287275 | − | 0.122636i | ||||
\(611\) | −15.2216 | + | 16.9053i | −0.615800 | + | 0.683916i | ||||
\(612\) | −4.58553 | + | 4.12883i | −0.185359 | + | 0.166898i | ||||
\(613\) | 23.4178 | − | 21.0855i | 0.945838 | − | 0.851636i | −0.0432350 | − | 0.999065i | \(-0.513766\pi\) |
0.989073 | + | 0.147429i | \(0.0470997\pi\) | |||||||
\(614\) | 14.7064 | − | 16.3331i | 0.593501 | − | 0.659149i | ||||
\(615\) | −1.00869 | − | 11.2635i | −0.0406744 | − | 0.454188i | ||||
\(616\) | −12.9219 | − | 1.83520i | −0.520639 | − | 0.0739423i | ||||
\(617\) | −2.70725 | + | 3.72620i | −0.108990 | + | 0.150011i | −0.860027 | − | 0.510248i | \(-0.829554\pi\) |
0.751038 | + | 0.660259i | \(0.229554\pi\) | |||||||
\(618\) | 21.1094 | − | 12.1875i | 0.849144 | − | 0.490254i | ||||
\(619\) | 18.4620 | − | 8.21979i | 0.742049 | − | 0.330381i | −0.000656533 | − | 1.00000i | \(-0.500209\pi\) |
0.742705 | + | 0.669618i | \(0.233542\pi\) | |||||||
\(620\) | −21.2809 | − | 19.7634i | −0.854661 | − | 0.793716i | ||||
\(621\) | −1.21683 | − | 0.541769i | −0.0488299 | − | 0.0217405i | ||||
\(622\) | −9.27214 | − | 12.7620i | −0.371779 | − | 0.511710i | ||||
\(623\) | −22.6958 | − | 0.825559i | −0.909286 | − | 0.0330753i | ||||
\(624\) | −25.1232 | −1.00573 | ||||||||
\(625\) | 9.17483 | − | 23.2556i | 0.366993 | − | 0.930224i | ||||
\(626\) | −6.26895 | + | 10.8581i | −0.250558 | + | 0.433979i | ||||
\(627\) | −3.35377 | + | 15.7782i | −0.133937 | + | 0.630122i | ||||
\(628\) | 10.0073 | − | 22.4768i | 0.399335 | − | 0.896920i | ||||
\(629\) | −23.5425 | + | 17.1046i | −0.938699 | + | 0.682005i | ||||
\(630\) | 4.97162 | + | 9.74297i | 0.198074 | + | 0.388169i | ||||
\(631\) | −16.7569 | − | 12.1746i | −0.667083 | − | 0.484664i | 0.201964 | − | 0.979393i | \(-0.435268\pi\) |
−0.869048 | + | 0.494729i | \(0.835268\pi\) | |||||||
\(632\) | 3.23367 | − | 1.86696i | 0.128629 | − | 0.0742638i | ||||
\(633\) | 5.44733 | + | 12.2349i | 0.216512 | + | 0.486294i | ||||
\(634\) | 31.0644 | + | 34.5005i | 1.23372 | + | 1.37019i | ||||
\(635\) | −28.5745 | + | 20.0955i | −1.13394 | + | 0.797465i | ||||
\(636\) | −1.27092 | − | 3.91148i | −0.0503952 | − | 0.155100i | ||||
\(637\) | 17.2048 | − | 32.1320i | 0.681680 | − | 1.27312i | ||||
\(638\) | 51.2887 | + | 16.6647i | 2.03054 | + | 0.659762i | ||||
\(639\) | 4.02618 | − | 4.47152i | 0.159273 | − | 0.176891i | ||||
\(640\) | 2.20780 | − | 18.2910i | 0.0872711 | − | 0.723013i | ||||
\(641\) | −16.3266 | − | 18.1325i | −0.644861 | − | 0.716191i | 0.328747 | − | 0.944418i | \(-0.393374\pi\) |
−0.973608 | + | 0.228227i | \(0.926707\pi\) | |||||||
\(642\) | 15.8939 | + | 1.67052i | 0.627282 | + | 0.0659300i | ||||
\(643\) | − | 26.8384i | − | 1.05840i | −0.848496 | − | 0.529202i | \(-0.822491\pi\) | ||
0.848496 | − | 0.529202i | \(-0.177509\pi\) | |||||||
\(644\) | 4.98677 | − | 0.341431i | 0.196506 | − | 0.0134543i | ||||
\(645\) | 6.49854 | + | 15.2228i | 0.255880 | + | 0.599397i | ||||
\(646\) | 25.8391 | + | 11.5043i | 1.01663 | + | 0.452632i | ||||
\(647\) | −44.8531 | + | 4.71425i | −1.76336 | + | 0.185336i | −0.930040 | − | 0.367458i | \(-0.880228\pi\) |
−0.833318 | + | 0.552794i | \(0.813562\pi\) | |||||||
\(648\) | 0.223587 | − | 1.05189i | 0.00878333 | − | 0.0413223i | ||||
\(649\) | 20.1310 | + | 34.8679i | 0.790210 | + | 1.36868i | ||||
\(650\) | −43.3492 | − | 20.9233i | −1.70029 | − | 0.820679i | ||||
\(651\) | −22.7546 | − | 8.31944i | −0.891823 | − | 0.326065i | ||||
\(652\) | −13.4894 | + | 4.38296i | −0.528285 | + | 0.171650i | ||||
\(653\) | 8.12519 | − | 18.2495i | 0.317963 | − | 0.714157i | −0.681887 | − | 0.731458i | \(-0.738840\pi\) |
0.999850 | + | 0.0173001i | \(0.00550708\pi\) | |||||||
\(654\) | 1.04703 | + | 9.96184i | 0.0409422 | + | 0.389539i | ||||
\(655\) | −1.23409 | − | 6.28012i | −0.0482200 | − | 0.245385i | ||||
\(656\) | 2.55066 | − | 24.2679i | 0.0995865 | − | 0.947503i | ||||
\(657\) | − | 1.04612i | − | 0.0408129i | ||||||
\(658\) | 19.1947 | + | 9.39640i | 0.748286 | + | 0.366310i | ||||
\(659\) | 3.20078 | − | 9.85098i | 0.124685 | − | 0.383740i | −0.869159 | − | 0.494533i | \(-0.835339\pi\) |
0.993843 | + | 0.110793i | \(0.0353391\pi\) | |||||||
\(660\) | −4.28205 | − | 13.9040i | −0.166679 | − | 0.541211i | ||||
\(661\) | −34.8863 | − | 7.41531i | −1.35692 | − | 0.288422i | −0.528692 | − | 0.848814i | \(-0.677317\pi\) |
−0.828228 | + | 0.560391i | \(0.810651\pi\) | |||||||
\(662\) | −17.3190 | + | 15.5941i | −0.673123 | + | 0.606082i | ||||
\(663\) | −4.70965 | − | 22.1572i | −0.182908 | − | 0.860513i | ||||
\(664\) | −5.38724 | − | 16.5802i | −0.209066 | − | 0.643438i | ||||
\(665\) | 13.0826 | − | 16.1754i | 0.507321 | − | 0.627254i | ||||
\(666\) | −3.82168 | + | 11.7619i | −0.148087 | + | 0.455765i | ||||
\(667\) | 8.42318 | + | 0.885312i | 0.326147 | + | 0.0342794i | ||||
\(668\) | 19.6774 | + | 11.3608i | 0.761343 | + | 0.439562i | ||||
\(669\) | −26.6099 | + | 11.8475i | −1.02880 | + | 0.458050i | ||||
\(670\) | 0.266772 | − | 17.3172i | 0.0103063 | − | 0.669021i | ||||
\(671\) | −6.92509 | + | 5.03137i | −0.267340 | + | 0.194234i | ||||
\(672\) | 4.91214 | + | 17.2251i | 0.189490 | + | 0.664471i | ||||
\(673\) | 32.8937 | − | 10.6878i | 1.26796 | − | 0.411985i | 0.403634 | − | 0.914920i | \(-0.367747\pi\) |
0.864324 | + | 0.502936i | \(0.167747\pi\) | |||||||
\(674\) | −23.6502 | − | 40.9633i | −0.910971 | − | 1.57785i | ||||
\(675\) | 3.06213 | − | 3.95264i | 0.117861 | − | 0.152137i | ||||
\(676\) | −10.0077 | + | 17.3338i | −0.384912 | + | 0.666686i | ||||
\(677\) | −6.44483 | − | 5.80295i | −0.247695 | − | 0.223025i | 0.535926 | − | 0.844265i | \(-0.319963\pi\) |
−0.783621 | + | 0.621240i | \(0.786629\pi\) | |||||||
\(678\) | −2.48200 | − | 3.41619i | −0.0953208 | − | 0.131198i | ||||
\(679\) | −8.07675 | + | 32.1948i | −0.309957 | + | 1.23552i | ||||
\(680\) | 10.4196 | − | 0.933115i | 0.399572 | − | 0.0357833i | ||||
\(681\) | 0.224643 | − | 2.13733i | 0.00860833 | − | 0.0819028i | ||||
\(682\) | 67.2589 | + | 38.8319i | 2.57548 | + | 1.48695i | ||||
\(683\) | −7.34114 | − | 16.4885i | −0.280901 | − | 0.630914i | 0.716902 | − | 0.697174i | \(-0.245560\pi\) |
−0.997802 | + | 0.0662609i | \(0.978893\pi\) | |||||||
\(684\) | 4.87862 | − | 1.03698i | 0.186539 | − | 0.0396500i | ||||
\(685\) | −5.99460 | + | 10.0232i | −0.229042 | + | 0.382965i | ||||
\(686\) | −33.4621 | − | 7.26512i | −1.27759 | − | 0.277384i | ||||
\(687\) | 11.8205 | + | 3.84072i | 0.450981 | + | 0.146533i | ||||
\(688\) | 7.42568 | + | 34.9351i | 0.283102 | + | 1.33189i | ||||
\(689\) | 14.7684 | + | 3.13912i | 0.562631 | + | 0.119591i | ||||
\(690\) | −2.67959 | − | 4.81082i | −0.102010 | − | 0.183145i | ||||
\(691\) | −0.0305085 | + | 0.00648478i | −0.00116060 | + | 0.000246693i | −0.208492 | − | 0.978024i | \(-0.566856\pi\) |
0.207331 | + | 0.978271i | \(0.433522\pi\) | |||||||
\(692\) | 10.9438 | − | 15.0628i | 0.416020 | − | 0.572602i | ||||
\(693\) | −7.78771 | − | 9.30846i | −0.295831 | − | 0.353599i | ||||
\(694\) | 8.94140 | + | 6.49630i | 0.339411 | + | 0.246596i | ||||
\(695\) | 0.421516 | + | 0.599368i | 0.0159890 | + | 0.0227353i | ||||
\(696\) | 0.714765 | + | 6.80053i | 0.0270931 | + | 0.257774i | ||||
\(697\) | 21.8810 | − | 2.29979i | 0.828803 | − | 0.0871108i | ||||
\(698\) | −20.7104 | − | 18.6477i | −0.783900 | − | 0.705826i | ||||
\(699\) | 22.0877 | 0.835435 | ||||||||
\(700\) | −3.20926 | + | 18.4866i | −0.121298 | + | 0.698726i | ||||
\(701\) | −24.0681 | −0.909041 | −0.454520 | − | 0.890736i | \(-0.650189\pi\) | ||||
−0.454520 | + | 0.890736i | \(0.650189\pi\) | |||||||
\(702\) | −7.15419 | − | 6.44166i | −0.270017 | − | 0.243125i | ||||
\(703\) | 23.3930 | − | 2.45870i | 0.882283 | − | 0.0927316i | ||||
\(704\) | −1.37469 | − | 13.0793i | −0.0518106 | − | 0.492945i | ||||
\(705\) | 0.150476 | − | 9.76798i | 0.00566726 | − | 0.367883i | ||||
\(706\) | −9.22591 | − | 6.70301i | −0.347222 | − | 0.252271i | ||||
\(707\) | 27.5931 | − | 4.82409i | 1.03774 | − | 0.181429i | ||||
\(708\) | 7.31731 | − | 10.0714i | 0.275001 | − | 0.378507i | ||||
\(709\) | 3.71148 | − | 0.788900i | 0.139388 | − | 0.0296278i | −0.137689 | − | 0.990475i | \(-0.543968\pi\) |
0.277077 | + | 0.960848i | \(0.410634\pi\) | |||||||
\(710\) | 24.4089 | − | 4.79655i | 0.916050 | − | 0.180011i | ||||
\(711\) | 3.39627 | + | 0.721899i | 0.127370 | + | 0.0270733i | ||||
\(712\) | 1.91924 | + | 9.02932i | 0.0719266 | + | 0.338388i | ||||
\(713\) | 11.6004 | + | 3.76919i | 0.434437 | + | 0.141157i | ||||
\(714\) | −18.8044 | + | 9.96345i | −0.703735 | + | 0.372873i | ||||
\(715\) | 52.0641 | + | 11.9076i | 1.94709 | + | 0.445319i | ||||
\(716\) | 3.13487 | − | 0.666337i | 0.117155 | − | 0.0249022i | ||||
\(717\) | 0.736252 | + | 1.65365i | 0.0274958 | + | 0.0617567i | ||||
\(718\) | 17.6415 | + | 10.1853i | 0.658373 | + | 0.380112i | ||||
\(719\) | 3.96413 | − | 37.7162i | 0.147837 | − | 1.40658i | −0.629260 | − | 0.777195i | \(-0.716642\pi\) |
0.777097 | − | 0.629381i | \(-0.216691\pi\) | |||||||
\(720\) | 8.12803 | − | 7.09488i | 0.302914 | − | 0.264411i | ||||
\(721\) | 33.5434 | − | 9.56572i | 1.24922 | − | 0.356246i | ||||
\(722\) | 7.20986 | + | 9.92352i | 0.268323 | + | 0.369315i | ||||
\(723\) | 15.4662 | + | 13.9259i | 0.575196 | + | 0.517908i | ||||
\(724\) | −11.2916 | + | 19.5576i | −0.419649 | + | 0.726854i | ||||
\(725\) | −10.7513 | + | 29.9199i | −0.399293 | + | 1.11120i | ||||
\(726\) | 9.28347 | + | 16.0794i | 0.344542 | + | 0.596764i | ||||
\(727\) | 32.7157 | − | 10.6300i | 1.21336 | − | 0.394243i | 0.368698 | − | 0.929549i | \(-0.379804\pi\) |
0.844658 | + | 0.535306i | \(0.179804\pi\) | |||||||
\(728\) | −14.3695 | − | 3.60489i | −0.532569 | − | 0.133606i | ||||
\(729\) | 0.809017 | − | 0.587785i | 0.0299636 | − | 0.0217698i | ||||
\(730\) | 2.59569 | − | 3.45933i | 0.0960708 | − | 0.128035i | ||||
\(731\) | −29.4187 | + | 13.0980i | −1.08809 | + | 0.484449i | ||||
\(732\) | 2.29212 | + | 1.32335i | 0.0847190 | + | 0.0489126i | ||||
\(733\) | 0.0992097 | + | 0.0104274i | 0.00366439 | + | 0.000385143i | 0.106360 | − | 0.994328i | \(-0.466080\pi\) |
−0.102696 | + | 0.994713i | \(0.532747\pi\) | |||||||
\(734\) | −2.66546 | + | 8.20345i | −0.0983840 | + | 0.302795i | ||||
\(735\) | 3.50799 | + | 15.2543i | 0.129394 | + | 0.562664i | ||||
\(736\) | −2.78659 | − | 8.57624i | −0.102715 | − | 0.316125i | ||||
\(737\) | 3.99540 | + | 18.7969i | 0.147172 | + | 0.692392i | ||||
\(738\) | 6.94871 | − | 6.25665i | 0.255786 | − | 0.230310i | ||||
\(739\) | −38.0185 | − | 8.08108i | −1.39853 | − | 0.297267i | −0.553887 | − | 0.832592i | \(-0.686856\pi\) |
−0.844647 | + | 0.535324i | \(0.820189\pi\) | |||||||
\(740\) | −17.3529 | + | 12.2037i | −0.637906 | + | 0.448617i | ||||
\(741\) | −5.65808 | + | 17.4138i | −0.207855 | + | 0.639711i | ||||
\(742\) | −0.968895 | − | 14.1512i | −0.0355693 | − | 0.519506i | ||||
\(743\) | − | 4.89267i | − | 0.179495i | −0.995965 | − | 0.0897474i | \(-0.971394\pi\) | ||
0.995965 | − | 0.0897474i | \(-0.0286060\pi\) | |||||||
\(744\) | −1.02936 | + | 9.79370i | −0.0377381 | + | 0.359054i | ||||
\(745\) | 28.5437 | + | 26.5082i | 1.04576 | + | 0.971187i | ||||
\(746\) | 5.16101 | + | 49.1037i | 0.188958 | + | 1.79781i | ||||
\(747\) | 6.59371 | − | 14.8097i | 0.241251 | − | 0.541859i | ||||
\(748\) | 26.9196 | − | 8.74670i | 0.984277 | − | 0.319811i | ||||
\(749\) | 21.4789 | + | 7.85304i | 0.784823 | + | 0.286944i | ||||
\(750\) | 19.9335 | − | 5.47273i | 0.727868 | − | 0.199836i | ||||
\(751\) | −6.40760 | − | 11.0983i | −0.233817 | − | 0.404982i | 0.725111 | − | 0.688631i | \(-0.241788\pi\) |
−0.958928 | + | 0.283649i | \(0.908455\pi\) | |||||||
\(752\) | 4.38274 | − | 20.6192i | 0.159822 | − | 0.751904i | ||||
\(753\) | −9.83386 | + | 1.03358i | −0.358366 | + | 0.0376657i | ||||
\(754\) | 55.9214 | + | 24.8978i | 2.03654 | + | 0.906725i | ||||
\(755\) | −9.85599 | + | 43.0937i | −0.358696 | + | 1.56834i | ||||
\(756\) | −1.64993 | + | 3.37043i | −0.0600075 | + | 0.122581i | ||||
\(757\) | 12.0144i | 0.436670i | 0.975874 | + | 0.218335i | \(0.0700625\pi\) | ||||
−0.975874 | + | 0.218335i | \(0.929937\pi\) | |||||||
\(758\) | −42.8953 | − | 4.50848i | −1.55803 | − | 0.163755i | ||||
\(759\) | 4.08845 | + | 4.54068i | 0.148401 | + | 0.164816i | ||||
\(760\) | −7.67097 | − | 3.55791i | −0.278255 | − | 0.129059i | ||||
\(761\) | 22.3105 | − | 24.7784i | 0.808756 | − | 0.898215i | −0.187709 | − | 0.982225i | \(-0.560106\pi\) |
0.996465 | + | 0.0840101i | \(0.0267728\pi\) | |||||||
\(762\) | −27.4706 | − | 8.92575i | −0.995156 | − | 0.323346i | ||||
\(763\) | −2.01551 | + | 14.1915i | −0.0729665 | + | 0.513768i | ||||
\(764\) | −3.15121 | − | 9.69842i | −0.114007 | − | 0.350877i | ||||
\(765\) | 7.78098 | + | 5.83842i | 0.281322 | + | 0.211089i | ||||
\(766\) | 25.2156 | + | 28.0047i | 0.911076 | + | 1.01185i | ||||
\(767\) | 18.5883 | + | 41.7501i | 0.671186 | + | 1.50751i | ||||
\(768\) | 18.1584 | − | 10.4837i | 0.655234 | − | 0.378300i | ||||
\(769\) | −0.902492 | − | 0.655699i | −0.0325447 | − | 0.0236451i | 0.571394 | − | 0.820676i | \(-0.306403\pi\) |
−0.603939 | + | 0.797031i | \(0.706403\pi\) | |||||||
\(770\) | −2.65588 | − | 50.1048i | −0.0957113 | − | 1.80565i | ||||
\(771\) | −23.5433 | + | 17.1052i | −0.847891 | + | 0.616029i | ||||
\(772\) | −14.4880 | + | 32.5406i | −0.521435 | + | 1.17116i | ||||
\(773\) | −0.760599 | + | 3.57834i | −0.0273568 | + | 0.128704i | −0.989707 | − | 0.143109i | \(-0.954290\pi\) |
0.962350 | + | 0.271813i | \(0.0876233\pi\) | |||||||
\(774\) | −6.84290 | + | 11.8523i | −0.245963 | + | 0.426021i | ||||
\(775\) | −24.1036 | + | 38.9280i | −0.865828 | + | 1.39834i | ||||
\(776\) | 13.4914 | 0.484315 | ||||||||
\(777\) | −9.40004 | + | 14.9947i | −0.337224 | + | 0.537932i | ||||
\(778\) | 18.6549 | + | 25.6763i | 0.668811 | + | 0.920540i | ||||
\(779\) | −16.2465 | − | 7.23342i | −0.582092 | − | 0.259164i | ||||
\(780\) | −3.18420 | − | 16.2039i | −0.114013 | − | 0.580194i | ||||
\(781\) | −25.2150 | + | 11.2264i | −0.902263 | + | 0.401713i | ||||
\(782\) | 9.27836 | − | 5.35687i | 0.331794 | − | 0.191561i | ||||
\(783\) | −3.73749 | + | 5.14421i | −0.133567 | + | 0.183839i | ||||
\(784\) | 1.08067 | + | 33.7576i | 0.0385954 | + | 1.20563i | ||||
\(785\) | −37.8123 | − | 8.64806i | −1.34958 | − | 0.308663i | ||||
\(786\) | 3.54103 | − | 3.93271i | 0.126304 | − | 0.140275i | ||||
\(787\) | 7.65001 | − | 6.88810i | 0.272693 | − | 0.245534i | −0.521425 | − | 0.853297i | \(-0.674600\pi\) |
0.794119 | + | 0.607763i | \(0.207933\pi\) | |||||||
\(788\) | 22.5682 | − | 20.3205i | 0.803959 | − | 0.723888i | ||||
\(789\) | 2.55521 | − | 2.83785i | 0.0909678 | − | 0.101030i | ||||
\(790\) | 9.43965 | + | 10.8142i | 0.335848 | + | 0.384753i | ||||
\(791\) | −2.25546 | − | 5.60589i | −0.0801949 | − | 0.199322i | ||||
\(792\) | −2.89956 | + | 3.99091i | −0.103032 | + | 0.141811i | ||||
\(793\) | −8.41455 | + | 4.85814i | −0.298809 | + | 0.172518i | ||||
\(794\) | −35.9383 | + | 16.0008i | −1.27540 | + | 0.567846i | ||||
\(795\) | −5.66448 | + | 3.15507i | −0.200899 | + | 0.111899i | ||||
\(796\) | 13.3845 | + | 5.95918i | 0.474402 | + | 0.211217i | ||||
\(797\) | −5.97335 | − | 8.22161i | −0.211587 | − | 0.291224i | 0.690011 | − | 0.723798i | \(-0.257605\pi\) |
−0.901598 | + | 0.432574i | \(0.857605\pi\) | |||||||
\(798\) | 17.1901 | + | 0.625290i | 0.608523 | + | 0.0221350i | ||||
\(799\) | 19.0065 | 0.672402 | ||||||||
\(800\) | 33.7577 | − | 2.49965i | 1.19351 | − | 0.0883761i | ||||
\(801\) | −4.29193 | + | 7.43384i | −0.151648 | + | 0.262662i | ||||
\(802\) | −6.05659 | + | 28.4940i | −0.213866 | + | 1.00616i | ||||
\(803\) | −1.95182 | + | 4.38386i | −0.0688782 | + | 0.154703i | ||||
\(804\) | 4.80703 | − | 3.49251i | 0.169531 | − | 0.123171i | ||||
\(805\) | −2.04408 | − | 7.61043i | −0.0720444 | − | 0.268232i | ||||
\(806\) | 71.3196 | + | 51.8167i | 2.51213 | + | 1.82517i | ||||
\(807\) | 16.0135 | − | 9.24543i | 0.563704 | − | 0.325454i | ||||
\(808\) | −4.63095 | − | 10.4013i | −0.162916 | − | 0.365916i | ||||
\(809\) | −0.0595884 | − | 0.0661796i | −0.00209502 | − | 0.00232675i | 0.742096 | − | 0.670293i | \(-0.233832\pi\) |
−0.744191 | + | 0.667966i | \(0.767165\pi\) | |||||||
\(810\) | 4.13373 | + | 0.0636803i | 0.145244 | + | 0.00223750i | ||||
\(811\) | 5.63144 | + | 17.3318i | 0.197746 | + | 0.608601i | 0.999934 | + | 0.0115283i | \(0.00366965\pi\) |
−0.802187 | + | 0.597073i | \(0.796330\pi\) | |||||||
\(812\) | 3.35517 | − | 23.6242i | 0.117743 | − | 0.829048i | ||||
\(813\) | 18.4012 | + | 5.97890i | 0.645357 | + | 0.209689i | ||||
\(814\) | 37.9602 | − | 42.1591i | 1.33050 | − | 1.47768i | ||||
\(815\) | 10.8808 | + | 19.5349i | 0.381136 | + | 0.684277i | ||||
\(816\) | 14.0455 | + | 15.5991i | 0.491691 | + | 0.546079i | ||||
\(817\) | 25.8872 | + | 2.72085i | 0.905677 | + | 0.0951905i | ||||
\(818\) | − | 21.8428i | − | 0.763714i | ||||||
\(819\) | −7.68692 | − | 11.4321i | −0.268603 | − | 0.399470i | ||||
\(820\) | 15.9756 | − | 1.43068i | 0.557892 | − | 0.0499616i | ||||
\(821\) | −46.6671 | − | 20.7775i | −1.62869 | − | 0.725140i | −0.630016 | − | 0.776582i | \(-0.716952\pi\) |
−0.998676 | + | 0.0514421i | \(0.983618\pi\) | |||||||
\(822\) | −9.60380 | + | 1.00940i | −0.334971 | + | 0.0352069i | ||||
\(823\) | −7.41163 | + | 34.8690i | −0.258353 | + | 1.21546i | 0.637269 | + | 0.770641i | \(0.280064\pi\) |
−0.895622 | + | 0.444815i | \(0.853269\pi\) | |||||||
\(824\) | −7.08883 | − | 12.2782i | −0.246951 | − | 0.427732i | ||||
\(825\) | −20.2069 | + | 10.8507i | −0.703514 | + | 0.377772i | ||||
\(826\) | 32.9298 | − | 27.5499i | 1.14577 | − | 0.958585i | ||||
\(827\) | 26.7754 | − | 8.69984i | 0.931070 | − | 0.302523i | 0.196070 | − | 0.980590i | \(-0.437182\pi\) |
0.735000 | + | 0.678067i | \(0.237182\pi\) | |||||||
\(828\) | 0.768420 | − | 1.72590i | 0.0267044 | − | 0.0599792i | ||||
\(829\) | 1.78323 | + | 16.9663i | 0.0619340 | + | 0.589263i | 0.980844 | + | 0.194795i | \(0.0624043\pi\) |
−0.918910 | + | 0.394468i | \(0.870929\pi\) | |||||||
\(830\) | 58.5510 | − | 32.6124i | 2.03234 | − | 1.13199i | ||||
\(831\) | 2.33386 | − | 22.2052i | 0.0809606 | − | 0.770289i | ||||
\(832\) | − | 14.9280i | − | 0.517537i | ||||||
\(833\) | −29.5696 | + | 7.28137i | −1.02453 | + | 0.252285i | ||||
\(834\) | −0.187223 | + | 0.576214i | −0.00648301 | + | 0.0199527i | ||||
\(835\) | 11.5928 | − | 33.8933i | 0.401184 | − | 1.17293i | ||||
\(836\) | −22.3791 | − | 4.75683i | −0.773998 | − | 0.164518i | ||||
\(837\) | −6.80515 | + | 6.12739i | −0.235221 | + | 0.211793i | ||||
\(838\) | −13.9629 | − | 65.6903i | −0.482341 | − | 2.26923i | ||||
\(839\) | 8.37370 | + | 25.7716i | 0.289092 | + | 0.889734i | 0.985142 | + | 0.171741i | \(0.0549392\pi\) |
−0.696050 | + | 0.717993i | \(0.745061\pi\) | |||||||
\(840\) | 5.66696 | − | 2.89173i | 0.195529 | − | 0.0997740i | ||||
\(841\) | 3.53258 | − | 10.8722i | 0.121813 | − | 0.374902i | ||||
\(842\) | −55.1382 | − | 5.79526i | −1.90019 | − | 0.199718i | ||||
\(843\) | 8.65669 | + | 4.99794i | 0.298152 | + | 0.172138i | ||||
\(844\) | −17.3534 | + | 7.72624i | −0.597329 | + | 0.265948i | ||||
\(845\) | 29.8566 | + | 10.2121i | 1.02710 | + | 0.351305i | ||||
\(846\) | 6.53487 | − | 4.74786i | 0.224674 | − | 0.163235i | ||||
\(847\) | 7.28640 | + | 25.5507i | 0.250364 | + | 0.877932i | ||||
\(848\) | −13.3062 | + | 4.32343i | −0.456935 | + | 0.148467i | ||||
\(849\) | −2.71836 | − | 4.70834i | −0.0932939 | − | 0.161590i | ||||
\(850\) | 11.2437 | + | 38.6133i | 0.385655 | + | 1.32443i | ||||
\(851\) | 4.45486 | − | 7.71604i | 0.152711 | − | 0.264503i | ||||
\(852\) | 6.34220 | + | 5.71054i | 0.217280 | + | 0.195640i | ||||
\(853\) | 26.0744 | + | 35.8883i | 0.892771 | + | 1.22879i | 0.972717 | + | 0.231994i | \(0.0745251\pi\) |
−0.0799465 | + | 0.996799i | \(0.525475\pi\) | |||||||
\(854\) | 6.55697 | + | 6.35042i | 0.224375 | + | 0.217307i | ||||
\(855\) | −3.08718 | − | 7.23170i | −0.105579 | − | 0.247319i | ||||
\(856\) | 0.971651 | − | 9.24464i | 0.0332103 | − | 0.315975i | ||||
\(857\) | 11.8966 | + | 6.86852i | 0.406381 | + | 0.234624i | 0.689234 | − | 0.724539i | \(-0.257947\pi\) |
−0.282852 | + | 0.959163i | \(0.591281\pi\) | |||||||
\(858\) | 17.9617 | + | 40.3426i | 0.613201 | + | 1.37727i | ||||
\(859\) | 12.7124 | − | 2.70211i | 0.433743 | − | 0.0921949i | 0.0141345 | − | 0.999900i | \(-0.495501\pi\) |
0.419608 | + | 0.907705i | \(0.362167\pi\) | |||||||
\(860\) | −21.5913 | + | 9.21723i | −0.736257 | + | 0.314305i | ||||
\(861\) | 11.8234 | − | 6.26458i | 0.402939 | − | 0.213496i | ||||
\(862\) | −43.2195 | − | 14.0429i | −1.47206 | − | 0.478302i | ||||
\(863\) | −1.71144 | − | 8.05168i | −0.0582580 | − | 0.274082i | 0.939371 | − | 0.342902i | \(-0.111410\pi\) |
−0.997629 | + | 0.0688198i | \(0.978077\pi\) | |||||||
\(864\) | 6.62207 | + | 1.40757i | 0.225288 | + | 0.0478863i | ||||
\(865\) | −26.6280 | − | 12.3505i | −0.905379 | − | 0.419929i | ||||
\(866\) | 65.0682 | − | 13.8307i | 2.21111 | − | 0.469985i | ||||
\(867\) | −1.13217 | + | 1.55829i | −0.0384504 | + | 0.0529224i | ||||
\(868\) | 11.7999 | − | 32.2741i | 0.400515 | − | 1.09545i | ||||
\(869\) | −12.8855 | − | 9.36187i | −0.437111 | − | 0.317580i | ||||
\(870\) | −25.1233 | + | 7.73732i | −0.851761 | + | 0.262320i | ||||
\(871\) | 2.28007 | + | 21.6934i | 0.0772572 | + | 0.735053i | ||||
\(872\) | 5.79427 | − | 0.609003i | 0.196219 | − | 0.0206234i | ||||
\(873\) | 9.32318 | + | 8.39463i | 0.315542 | + | 0.284115i | ||||
\(874\) | −8.65999 | −0.292929 | ||||||||
\(875\) | 29.5731 | − | 0.655131i | 0.999755 | − | 0.0221475i | ||||
\(876\) | 1.48376 | 0.0501317 | ||||||||
\(877\) | −11.3124 | − | 10.1857i | −0.381992 | − | 0.343948i | 0.455657 | − | 0.890155i | \(-0.349404\pi\) |
−0.837650 | + | 0.546208i | \(0.816071\pi\) | |||||||
\(878\) | −27.1225 | + | 2.85069i | −0.915342 | + | 0.0962063i | ||||
\(879\) | 1.19777 | + | 11.3960i | 0.0403996 | + | 0.384377i | ||||
\(880\) | −47.2988 | + | 14.5668i | −1.59444 | + | 0.491045i | ||||
\(881\) | 4.90603 | + | 3.56444i | 0.165288 | + | 0.120089i | 0.667354 | − | 0.744740i | \(-0.267427\pi\) |
−0.502066 | + | 0.864829i | \(0.667427\pi\) | |||||||
\(882\) | −8.34782 | + | 9.89006i | −0.281086 | + | 0.333016i | ||||
\(883\) | 7.60513 | − | 10.4676i | 0.255933 | − | 0.352262i | −0.661645 | − | 0.749817i | \(-0.730141\pi\) |
0.917578 | + | 0.397556i | \(0.130141\pi\) | |||||||
\(884\) | 31.4267 | − | 6.67995i | 1.05699 | − | 0.224671i | ||||
\(885\) | −17.8042 | − | 8.25787i | −0.598483 | − | 0.277585i | ||||
\(886\) | −10.8007 | − | 2.29576i | −0.362856 | − | 0.0771274i | ||||
\(887\) | 11.7906 | + | 55.4705i | 0.395890 | + | 1.86252i | 0.497164 | + | 0.867657i | \(0.334375\pi\) |
−0.101274 | + | 0.994859i | \(0.532292\pi\) | |||||||
\(888\) | 6.84128 | + | 2.22287i | 0.229578 | + | 0.0745945i | ||||
\(889\) | −35.0210 | − | 21.9543i | −1.17457 | − | 0.736325i | ||||
\(890\) | −32.6380 | + | 13.9330i | −1.09403 | + | 0.467036i | ||||
\(891\) | −4.48694 | + | 0.953729i | −0.150318 | + | 0.0319511i | ||||
\(892\) | −16.8039 | − | 37.7422i | −0.562637 | − | 1.26370i | ||||
\(893\) | −13.3048 | − | 7.68156i | −0.445230 | − | 0.257053i | ||||
\(894\) | −3.36676 | + | 32.0326i | −0.112601 | + | 1.07133i | ||||
\(895\) | −1.98374 | − | 4.64689i | −0.0663090 | − | 0.155328i | ||||
\(896\) | 20.9635 | − | 5.97824i | 0.700340 | − | 0.199719i | ||||
\(897\) | 4.07660 | + | 5.61096i | 0.136114 | + | 0.187345i | ||||
\(898\) | −7.57253 | − | 6.81834i | −0.252699 | − | 0.227531i | ||||
\(899\) | 29.1136 | − | 50.4262i | 0.970992 | − | 1.68181i | ||||
\(900\) | 5.60624 | + | 4.34318i | 0.186875 | + | 0.144773i | ||||
\(901\) | −6.30742 | − | 10.9248i | −0.210131 | − | 0.363957i | ||||
\(902\) | −40.7928 | + | 13.2544i | −1.35825 | + | 0.441323i | ||||
\(903\) | −13.6249 | + | 14.0681i | −0.453410 | + | 0.468157i | ||||
\(904\) | −1.98701 | + | 1.44365i | −0.0660871 | + | 0.0480151i | ||||
\(905\) | 33.6870 | + | 11.5222i | 1.11979 | + | 0.383010i | ||||
\(906\) | −33.3917 | + | 14.8670i | −1.10937 | + | 0.493922i | ||||
\(907\) | −43.7267 | − | 25.2457i | −1.45192 | − | 0.838268i | −0.453332 | − | 0.891342i | \(-0.649765\pi\) |
−0.998591 | + | 0.0530736i | \(0.983098\pi\) | |||||||
\(908\) | 3.03149 | + | 0.318623i | 0.100604 | + | 0.0105739i | ||||
\(909\) | 3.27168 | − | 10.0692i | 0.108515 | − | 0.333975i | ||||
\(910\) | 2.94676 | − | 56.8773i | 0.0976842 | − | 1.88546i | ||||
\(911\) | 15.7178 | + | 48.3745i | 0.520755 | + | 1.60272i | 0.772560 | + | 0.634941i | \(0.218976\pi\) |
−0.251805 | + | 0.967778i | \(0.581024\pi\) | |||||||
\(912\) | −3.52763 | − | 16.5962i | −0.116811 | − | 0.549554i | ||||
\(913\) | −55.2632 | + | 49.7592i | −1.82895 | + | 1.64679i | ||||
\(914\) | 49.0434 | + | 10.4245i | 1.62221 | + | 0.344812i | ||||
\(915\) | 1.35038 | − | 3.94804i | 0.0446421 | − | 0.130518i | ||||
\(916\) | −5.44750 | + | 16.7657i | −0.179990 | + | 0.553953i | ||||
\(917\) | 6.28432 | − | 4.22556i | 0.207527 | − | 0.139540i | ||||
\(918\) | 8.04340i | 0.265472i | ||||||||
\(919\) | −0.929802 | + | 8.84648i | −0.0306714 | + | 0.291818i | 0.968425 | + | 0.249307i | \(0.0802027\pi\) |
−0.999096 | + | 0.0425118i | \(0.986464\pi\) | |||||||
\(920\) | −2.79820 | + | 1.55857i | −0.0922539 | + | 0.0513846i | ||||
\(921\) | −1.24257 | − | 11.8223i | −0.0409441 | − | 0.389557i | ||||
\(922\) | −15.8756 | + | 35.6571i | −0.522834 | + | 1.17430i | ||||
\(923\) | −29.7966 | + | 9.68151i | −0.980768 | + | 0.318671i | ||||
\(924\) | 13.2027 | − | 11.0457i | 0.434336 | − | 0.363378i | ||||
\(925\) | 24.1534 | + | 23.1341i | 0.794160 | + | 0.760646i | ||||
\(926\) | −12.0410 | − | 20.8557i | −0.395692 | − | 0.685359i | ||||
\(927\) | 2.74104 | − | 12.8956i | 0.0900276 | − | 0.423546i | ||||
\(928\) | −42.8119 | + | 4.49972i | −1.40537 | + | 0.147710i | ||||
\(929\) | −30.2912 | − | 13.4865i | −0.993822 | − | 0.442478i | −0.155608 | − | 0.987819i | \(-0.549734\pi\) |
−0.838214 | + | 0.545341i | \(0.816400\pi\) | |||||||
\(930\) | −37.7071 | + | 3.37683i | −1.23647 | + | 0.110731i | ||||
\(931\) | 23.6420 | + | 6.85362i | 0.774835 | + | 0.224618i | ||||
\(932\) | 31.3282i | 1.02619i | ||||||||
\(933\) | −8.48530 | − | 0.891841i | −0.277796 | − | 0.0291976i | ||||
\(934\) | −14.1411 | − | 15.7053i | −0.462711 | − | 0.513893i | ||||
\(935\) | −21.7138 | − | 38.9841i | −0.710117 | − | 1.27492i | ||||
\(936\) | −3.74677 | + | 4.16121i | −0.122467 | + | 0.136013i | ||||
\(937\) | −14.7998 | − | 4.80875i | −0.483489 | − | 0.157095i | 0.0571232 | − | 0.998367i | \(-0.481807\pi\) |
−0.540612 | + | 0.841272i | \(0.681807\pi\) | |||||||
\(938\) | 19.0113 | − | 7.64898i | 0.620742 | − | 0.249748i | ||||
\(939\) | 2.09555 | + | 6.44945i | 0.0683858 | + | 0.210470i | ||||
\(940\) | 13.8544 | + | 0.213428i | 0.451882 | + | 0.00696126i | ||||
\(941\) | 20.3728 | + | 22.6263i | 0.664135 | + | 0.737596i | 0.977243 | − | 0.212121i | \(-0.0680371\pi\) |
−0.313109 | + | 0.949717i | \(0.601370\pi\) | |||||||
\(942\) | −13.0449 | − | 29.2993i | −0.425026 | − | 0.954624i | ||||
\(943\) | −5.83383 | + | 3.36817i | −0.189976 | + | 0.109683i | ||||
\(944\) | −34.2611 | − | 24.8922i | −1.11510 | − | 0.810171i | ||||
\(945\) | 5.71541 | + | 1.52778i | 0.185922 | + | 0.0496987i | ||||
\(946\) | 50.7895 | − | 36.9008i | 1.65131 | − | 1.19975i | ||||
\(947\) | −14.1236 | + | 31.7220i | −0.458954 | + | 1.03083i | 0.524787 | + | 0.851234i | \(0.324145\pi\) |
−0.983741 | + | 0.179594i | \(0.942522\pi\) | |||||||
\(948\) | −1.02391 | + | 4.81711i | −0.0332550 | + | 0.156452i | ||||
\(949\) | −2.72351 | + | 4.71725i | −0.0884088 | + | 0.153129i | ||||
\(950\) | 7.73498 | − | 31.5741i | 0.250956 | − | 1.02440i | ||||
\(951\) | 25.1098 | 0.814242 | ||||||||
\(952\) | 5.79521 | + | 10.9375i | 0.187824 | + | 0.354486i | ||||
\(953\) | 34.0001 | + | 46.7971i | 1.10137 | + | 1.51591i | 0.833555 | + | 0.552437i | \(0.186302\pi\) |
0.267816 | + | 0.963470i | \(0.413698\pi\) | |||||||
\(954\) | −4.89767 | − | 2.18058i | −0.158568 | − | 0.0705989i | ||||
\(955\) | −14.0449 | + | 7.82291i | −0.454484 | + | 0.253143i | ||||
\(956\) | −2.34546 | + | 1.04427i | −0.0758576 | + | 0.0337740i | ||||
\(957\) | 25.2603 | − | 14.5840i | 0.816548 | − | 0.471434i | ||||
\(958\) | −32.2859 | + | 44.4378i | −1.04311 | + | 1.43572i | ||||
\(959\) | −13.6815 | − | 1.94307i | −0.441798 | − | 0.0627451i | ||||
\(960\) | 4.21574 | + | 4.82963i | 0.136063 | + | 0.155876i | ||||
\(961\) | 35.3669 | − | 39.2789i | 1.14087 | − | 1.26706i | ||||
\(962\) | 47.8546 | − | 43.0884i | 1.54289 | − | 1.38923i | ||||
\(963\) | 6.42364 | − | 5.78387i | 0.206999 | − | 0.186383i | ||||
\(964\) | −19.7518 | + | 21.9366i | −0.636162 | + | 0.706530i | ||||
\(965\) | 54.7425 | + | 12.5202i | 1.76222 | + | 0.403039i | ||||
\(966\) | 4.01890 | − | 5.12858i | 0.129306 | − | 0.165009i | ||||
\(967\) | 0.857553 | − | 1.18032i | 0.0275771 | − | 0.0379566i | −0.795006 | − | 0.606602i | \(-0.792532\pi\) |
0.822583 | + | 0.568645i | \(0.192532\pi\) | |||||||
\(968\) | 9.35255 | − | 5.39970i | 0.300602 | − | 0.173553i | ||||
\(969\) | 13.9756 | − | 6.22232i | 0.448960 | − | 0.199890i | ||||
\(970\) | 10.0009 | + | 50.8928i | 0.321108 | + | 1.63407i | ||||
\(971\) | −8.09538 | − | 3.60430i | −0.259793 | − | 0.115667i | 0.272707 | − | 0.962097i | \(-0.412081\pi\) |
−0.532501 | + | 0.846430i | \(0.678748\pi\) | |||||||
\(972\) | 0.833687 | + | 1.14747i | 0.0267405 | + | 0.0368052i | ||||
\(973\) | −0.460506 | + | 0.734588i | −0.0147631 | + | 0.0235498i | ||||
\(974\) | 2.60243 | 0.0833873 | ||||||||
\(975\) | −24.0986 | + | 9.85154i | −0.771771 | + | 0.315502i | ||||
\(976\) | 4.50181 | − | 7.79736i | 0.144099 | − | 0.249588i | ||||
\(977\) | −8.54811 | + | 40.2157i | −0.273478 | + | 1.28661i | 0.600098 | + | 0.799926i | \(0.295128\pi\) |
−0.873576 | + | 0.486687i | \(0.838205\pi\) | |||||||
\(978\) | −7.52008 | + | 16.8904i | −0.240466 | + | 0.540095i | ||||
\(979\) | 31.8557 | − | 23.1445i | 1.01811 | − | 0.739701i | ||||
\(980\) | −21.6360 | + | 4.97558i | −0.691137 | + | 0.158939i | ||||
\(981\) | 4.38303 | + | 3.18446i | 0.139939 | + | 0.101672i | ||||
\(982\) | 69.4273 | − | 40.0839i | 2.21551 | − | 1.27913i | ||||
\(983\) | −15.6381 | − | 35.1237i | −0.498777 | − | 1.12027i | −0.971062 | − | 0.238826i | \(-0.923237\pi\) |
0.472285 | − | 0.881446i | \(-0.343429\pi\) | |||||||
\(984\) | −3.63916 | − | 4.04170i | −0.116012 | − | 0.128845i | ||||
\(985\) | −38.2950 | − | 28.7345i | −1.22018 | − | 0.915557i | ||||
\(986\) | −15.8046 | − | 48.6415i | −0.503320 | − | 1.54906i | ||||
\(987\) | 10.7236 | − | 4.31451i | 0.341336 | − | 0.137332i | ||||
\(988\) | −24.6989 | − | 8.02515i | −0.785776 | − | 0.255314i | ||||
\(989\) | 6.59742 | − | 7.32717i | 0.209786 | − | 0.232991i | ||||
\(990\) | −17.2040 | − | 7.97947i | −0.546779 | − | 0.253604i | ||||
\(991\) | 1.77853 | + | 1.97525i | 0.0564968 | + | 0.0627460i | 0.770731 | − | 0.637161i | \(-0.219891\pi\) |
−0.714234 | + | 0.699907i | \(0.753225\pi\) | |||||||
\(992\) | −61.6550 | − | 6.48020i | −1.95755 | − | 0.205747i | ||||
\(993\) | 12.6050i | 0.400006i | ||||||||
\(994\) | 16.4235 | + | 24.4252i | 0.520920 | + | 0.774721i | ||||
\(995\) | 5.14977 | − | 22.5166i | 0.163259 | − | 0.713823i | ||||
\(996\) | 21.0054 | + | 9.35221i | 0.665582 | + | 0.296336i | ||||
\(997\) | 42.6818 | − | 4.48603i | 1.35175 | − | 0.142074i | 0.599192 | − | 0.800605i | \(-0.295489\pi\) |
0.752553 | + | 0.658531i | \(0.228822\pi\) | |||||||
\(998\) | 4.98467 | − | 23.4510i | 0.157787 | − | 0.742330i | ||||
\(999\) | 3.34451 | + | 5.79287i | 0.105816 | + | 0.183278i |
(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 | 525.2.bo.a.319.33 | yes | 320 | |
7.2 | even | 3 | inner | 525.2.bo.a.394.33 | yes | 320 | |
25.4 | even | 10 | inner | 525.2.bo.a.4.33 | ✓ | 320 | |
175.79 | even | 30 | inner | 525.2.bo.a.79.33 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bo.a.4.33 | ✓ | 320 | 25.4 | even | 10 | inner | |
525.2.bo.a.79.33 | yes | 320 | 175.79 | even | 30 | inner | |
525.2.bo.a.319.33 | yes | 320 | 1.1 | even | 1 | trivial | |
525.2.bo.a.394.33 | yes | 320 | 7.2 | even | 3 | inner |