Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(11,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.g (of order \(58\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 11.10 | ||
Character | \(\chi\) | \(=\) | 354.11 |
Dual form | 354.2.g.b.161.10 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{25}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.976621 | + | 0.214970i | −0.690575 | + | 0.152007i | ||||
\(3\) | 1.73081 | + | 0.0656435i | 0.999282 | + | 0.0378993i | ||||
\(4\) | 0.907575 | − | 0.419889i | 0.453788 | − | 0.209945i | ||||
\(5\) | −3.54823 | − | 0.985161i | −1.58682 | − | 0.440577i | −0.641604 | − | 0.767036i | \(-0.721731\pi\) |
−0.945211 | + | 0.326459i | \(0.894145\pi\) | |||||||
\(6\) | −1.70445 | + | 0.307963i | −0.695840 | + | 0.125726i | ||||
\(7\) | −3.12490 | + | 2.96006i | −1.18110 | + | 1.11880i | −0.190546 | + | 0.981678i | \(0.561026\pi\) |
−0.990555 | + | 0.137120i | \(0.956216\pi\) | |||||||
\(8\) | −0.796093 | + | 0.605174i | −0.281461 | + | 0.213961i | ||||
\(9\) | 2.99138 | + | 0.227232i | 0.997127 | + | 0.0757441i | ||||
\(10\) | 3.67705 | + | 0.199364i | 1.16279 | + | 0.0630444i | ||||
\(11\) | −3.71995 | − | 4.37946i | −1.12161 | − | 1.32046i | −0.941578 | − | 0.336796i | \(-0.890657\pi\) |
−0.180029 | − | 0.983661i | \(-0.557619\pi\) | |||||||
\(12\) | 1.59840 | − | 0.667170i | 0.461418 | − | 0.192595i | ||||
\(13\) | −1.35763 | − | 4.02931i | −0.376539 | − | 1.11753i | −0.953664 | − | 0.300873i | \(-0.902722\pi\) |
0.577125 | − | 0.816656i | \(-0.304174\pi\) | |||||||
\(14\) | 2.41551 | − | 3.56262i | 0.645573 | − | 0.952149i | ||||
\(15\) | −6.07663 | − | 1.93804i | −1.56898 | − | 0.500400i | ||||
\(16\) | 0.647386 | − | 0.762162i | 0.161847 | − | 0.190541i | ||||
\(17\) | −0.852466 | + | 0.899938i | −0.206753 | + | 0.218267i | −0.821123 | − | 0.570752i | \(-0.806652\pi\) |
0.614369 | + | 0.789019i | \(0.289411\pi\) | |||||||
\(18\) | −2.97029 | + | 0.421139i | −0.700105 | + | 0.0992634i | ||||
\(19\) | −0.904314 | − | 2.26966i | −0.207464 | − | 0.520695i | 0.788017 | − | 0.615653i | \(-0.211108\pi\) |
−0.995481 | + | 0.0949579i | \(0.969728\pi\) | |||||||
\(20\) | −3.63394 | + | 0.595755i | −0.812574 | + | 0.133215i | ||||
\(21\) | −5.60290 | + | 4.91816i | −1.22265 | + | 1.07323i | ||||
\(22\) | 4.57443 | + | 3.47739i | 0.975272 | + | 0.741383i | ||||
\(23\) | −4.09785 | + | 0.445668i | −0.854460 | + | 0.0929282i | −0.524856 | − | 0.851191i | \(-0.675881\pi\) |
−0.329604 | + | 0.944119i | \(0.606915\pi\) | |||||||
\(24\) | −1.41761 | + | 0.995181i | −0.289368 | + | 0.203140i | ||||
\(25\) | 7.33509 | + | 4.41338i | 1.46702 | + | 0.882676i | ||||
\(26\) | 2.19207 | + | 3.64325i | 0.429901 | + | 0.714501i | ||||
\(27\) | 5.16259 | + | 0.589660i | 0.993540 | + | 0.113480i | ||||
\(28\) | −1.59318 | + | 3.99859i | −0.301083 | + | 0.755662i | ||||
\(29\) | −0.0866371 | + | 0.393596i | −0.0160881 | + | 0.0730890i | −0.983981 | − | 0.178275i | \(-0.942948\pi\) |
0.967893 | + | 0.251364i | \(0.0808792\pi\) | |||||||
\(30\) | 6.35118 | + | 0.586435i | 1.15956 | + | 0.107068i | ||||
\(31\) | 0.750698 | + | 0.299105i | 0.134829 | + | 0.0537209i | 0.436577 | − | 0.899667i | \(-0.356191\pi\) |
−0.301748 | + | 0.953388i | \(0.597570\pi\) | |||||||
\(32\) | −0.468408 | + | 0.883512i | −0.0828037 | + | 0.156184i | ||||
\(33\) | −6.15103 | − | 7.82419i | −1.07076 | − | 1.36202i | ||||
\(34\) | 0.639076 | − | 1.06215i | 0.109601 | − | 0.182158i | ||||
\(35\) | 14.0040 | − | 7.42444i | 2.36711 | − | 1.25496i | ||||
\(36\) | 2.81032 | − | 1.04982i | 0.468386 | − | 0.174970i | ||||
\(37\) | −6.11423 | + | 8.04313i | −1.00517 | + | 1.32228i | −0.0591273 | + | 0.998250i | \(0.518832\pi\) |
−0.946046 | + | 0.324032i | \(0.894961\pi\) | |||||||
\(38\) | 1.37108 | + | 2.02219i | 0.222419 | + | 0.328043i | ||||
\(39\) | −2.08530 | − | 7.06307i | −0.333915 | − | 1.13100i | ||||
\(40\) | 3.42091 | − | 1.36302i | 0.540894 | − | 0.215512i | ||||
\(41\) | −0.658834 | + | 6.05788i | −0.102893 | + | 0.946082i | 0.822935 | + | 0.568136i | \(0.192335\pi\) |
−0.925828 | + | 0.377946i | \(0.876630\pi\) | |||||||
\(42\) | 4.41465 | − | 6.00764i | 0.681195 | − | 0.926999i | ||||
\(43\) | −3.04949 | − | 2.59026i | −0.465042 | − | 0.395011i | 0.384002 | − | 0.923332i | \(-0.374546\pi\) |
−0.849044 | + | 0.528322i | \(0.822821\pi\) | |||||||
\(44\) | −5.21502 | − | 2.41273i | −0.786194 | − | 0.363732i | ||||
\(45\) | −10.3902 | − | 3.75326i | −1.54889 | − | 0.559504i | ||||
\(46\) | 3.90624 | − | 1.31616i | 0.575943 | − | 0.194058i | ||||
\(47\) | 1.44096 | + | 5.18987i | 0.210186 | + | 0.757021i | 0.991185 | + | 0.132488i | \(0.0422967\pi\) |
−0.780999 | + | 0.624533i | \(0.785290\pi\) | |||||||
\(48\) | 1.17053 | − | 1.27666i | 0.168952 | − | 0.184270i | ||||
\(49\) | 0.624056 | − | 11.5100i | 0.0891509 | − | 1.64429i | ||||
\(50\) | −8.11235 | − | 2.73337i | −1.14726 | − | 0.386557i | ||||
\(51\) | −1.53453 | + | 1.50166i | −0.214877 | + | 0.210274i | ||||
\(52\) | −2.92401 | − | 3.08684i | −0.405488 | − | 0.428068i | ||||
\(53\) | 3.76385 | − | 0.204070i | 0.517004 | − | 0.0280311i | 0.206209 | − | 0.978508i | \(-0.433887\pi\) |
0.310795 | + | 0.950477i | \(0.399405\pi\) | |||||||
\(54\) | −5.16865 | + | 0.533929i | −0.703364 | + | 0.0726586i | ||||
\(55\) | 8.88475 | + | 19.2041i | 1.19802 | + | 2.58948i | ||||
\(56\) | 0.696357 | − | 4.24759i | 0.0930547 | − | 0.567608i | ||||
\(57\) | −1.41620 | − | 3.98770i | −0.187581 | − | 0.528184i | ||||
\(58\) | − | 0.403019i | − | 0.0529189i | ||||||
\(59\) | 0.359659 | − | 7.67272i | 0.0468236 | − | 0.998903i | ||||
\(60\) | −6.32876 | + | 0.792591i | −0.817039 | + | 0.102323i | ||||
\(61\) | −1.21499 | − | 5.51977i | −0.155564 | − | 0.706735i | −0.988232 | − | 0.152962i | \(-0.951119\pi\) |
0.832668 | − | 0.553772i | \(-0.186812\pi\) | |||||||
\(62\) | −0.797446 | − | 0.130735i | −0.101276 | − | 0.0166033i | ||||
\(63\) | −10.0204 | + | 8.14459i | −1.26245 | + | 1.02612i | ||||
\(64\) | 0.267528 | − | 0.963550i | 0.0334410 | − | 0.120444i | ||||
\(65\) | 0.847672 | + | 15.6344i | 0.105141 | + | 1.93921i | ||||
\(66\) | 7.68919 | + | 6.31898i | 0.946474 | + | 0.777812i | ||||
\(67\) | −9.17819 | − | 12.0737i | −1.12129 | − | 1.47504i | −0.860364 | − | 0.509681i | \(-0.829763\pi\) |
−0.260931 | − | 0.965357i | \(-0.584030\pi\) | |||||||
\(68\) | −0.395803 | + | 1.17470i | −0.0479982 | + | 0.142454i | ||||
\(69\) | −7.12184 | + | 0.502368i | −0.857368 | + | 0.0604780i | ||||
\(70\) | −12.0805 | + | 10.2613i | −1.44390 | + | 1.22646i | ||||
\(71\) | 6.25491 | − | 1.73667i | 0.742322 | − | 0.206105i | 0.124277 | − | 0.992248i | \(-0.460339\pi\) |
0.618045 | + | 0.786143i | \(0.287925\pi\) | |||||||
\(72\) | −2.51893 | + | 1.62941i | −0.296859 | + | 0.192028i | ||||
\(73\) | 6.33076 | + | 4.29236i | 0.740960 | + | 0.502383i | 0.872310 | − | 0.488953i | \(-0.162621\pi\) |
−0.131351 | + | 0.991336i | \(0.541931\pi\) | |||||||
\(74\) | 4.24225 | − | 9.16947i | 0.493151 | − | 1.06593i | ||||
\(75\) | 12.4059 | + | 8.12021i | 1.43251 | + | 0.937641i | ||||
\(76\) | −1.77374 | − | 1.68017i | −0.203462 | − | 0.192729i | ||||
\(77\) | 24.5879 | + | 2.67410i | 2.80206 | + | 0.304742i | ||||
\(78\) | 3.55490 | + | 6.44966i | 0.402513 | + | 0.730280i | ||||
\(79\) | −0.131913 | − | 0.804637i | −0.0148414 | − | 0.0905287i | 0.978367 | − | 0.206876i | \(-0.0663297\pi\) |
−0.993209 | + | 0.116347i | \(0.962881\pi\) | |||||||
\(80\) | −3.04793 | + | 2.06655i | −0.340768 | + | 0.231047i | ||||
\(81\) | 8.89673 | + | 1.35948i | 0.988526 | + | 0.151053i | ||||
\(82\) | −0.658834 | − | 6.05788i | −0.0727561 | − | 0.668981i | ||||
\(83\) | 1.22060 | + | 2.30230i | 0.133978 | + | 0.252710i | 0.941419 | − | 0.337239i | \(-0.109493\pi\) |
−0.807441 | + | 0.589948i | \(0.799148\pi\) | |||||||
\(84\) | −3.01997 | + | 6.81620i | −0.329506 | + | 0.743709i | ||||
\(85\) | 3.91133 | − | 2.35337i | 0.424243 | − | 0.255259i | ||||
\(86\) | 3.53502 | + | 1.87415i | 0.381191 | + | 0.202095i | ||||
\(87\) | −0.175789 | + | 0.675552i | −0.0188466 | + | 0.0724267i | ||||
\(88\) | 5.61176 | + | 1.23524i | 0.598216 | + | 0.131677i | ||||
\(89\) | 5.75986 | + | 1.26784i | 0.610544 | + | 0.134391i | 0.509471 | − | 0.860488i | \(-0.329841\pi\) |
0.101073 | + | 0.994879i | \(0.467772\pi\) | |||||||
\(90\) | 10.9542 | + | 1.43192i | 1.15467 | + | 0.150938i | ||||
\(91\) | 16.1695 | + | 8.57250i | 1.69502 | + | 0.898642i | ||||
\(92\) | −3.53197 | + | 2.12512i | −0.368234 | + | 0.221559i | ||||
\(93\) | 1.27968 | + | 0.566972i | 0.132696 | + | 0.0587922i | ||||
\(94\) | −2.52294 | − | 4.75877i | −0.260222 | − | 0.490830i | ||||
\(95\) | 0.972735 | + | 8.94415i | 0.0998006 | + | 0.917651i | ||||
\(96\) | −0.868721 | + | 1.49844i | −0.0886635 | + | 0.152934i | ||||
\(97\) | −5.99929 | + | 4.06762i | −0.609135 | + | 0.413004i | −0.826380 | − | 0.563113i | \(-0.809604\pi\) |
0.217244 | + | 0.976117i | \(0.430293\pi\) | |||||||
\(98\) | 1.86485 | + | 11.3751i | 0.188379 | + | 1.14906i | ||||
\(99\) | −10.1326 | − | 13.9459i | −1.01837 | − | 1.40162i | ||||
\(100\) | 8.51028 | + | 0.925549i | 0.851028 | + | 0.0925549i | ||||
\(101\) | −6.26871 | − | 5.93804i | −0.623760 | − | 0.590857i | 0.309130 | − | 0.951020i | \(-0.399962\pi\) |
−0.932889 | + | 0.360163i | \(0.882721\pi\) | |||||||
\(102\) | 1.17584 | − | 1.79643i | 0.116426 | − | 0.177873i | ||||
\(103\) | 1.52244 | − | 3.29070i | 0.150011 | − | 0.324243i | −0.817973 | − | 0.575257i | \(-0.804902\pi\) |
0.967983 | + | 0.251014i | \(0.0807641\pi\) | |||||||
\(104\) | 3.51923 | + | 2.38610i | 0.345089 | + | 0.233976i | ||||
\(105\) | 24.7256 | − | 11.9310i | 2.41297 | − | 1.16435i | ||||
\(106\) | −3.63198 | + | 1.00841i | −0.352769 | + | 0.0979458i | ||||
\(107\) | −9.80946 | + | 8.33223i | −0.948316 | + | 0.805507i | −0.981010 | − | 0.193958i | \(-0.937867\pi\) |
0.0326934 | + | 0.999465i | \(0.489592\pi\) | |||||||
\(108\) | 4.93303 | − | 1.63255i | 0.474681 | − | 0.157092i | ||||
\(109\) | 2.57410 | − | 7.63967i | 0.246554 | − | 0.731747i | −0.750898 | − | 0.660418i | \(-0.770379\pi\) |
0.997453 | − | 0.0713296i | \(-0.0227242\pi\) | |||||||
\(110\) | −12.8053 | − | 16.8451i | −1.22094 | − | 1.60612i | ||||
\(111\) | −11.1105 | + | 13.5197i | −1.05456 | + | 1.28324i | ||||
\(112\) | 0.233030 | + | 4.29798i | 0.0220192 | + | 0.406121i | ||||
\(113\) | 1.97742 | − | 7.12203i | 0.186020 | − | 0.669984i | −0.810433 | − | 0.585832i | \(-0.800768\pi\) |
0.996453 | − | 0.0841526i | \(-0.0268183\pi\) | |||||||
\(114\) | 2.24033 | + | 3.59003i | 0.209826 | + | 0.336237i | ||||
\(115\) | 14.9792 | + | 2.45571i | 1.39681 | + | 0.228996i | ||||
\(116\) | 0.0866371 | + | 0.393596i | 0.00804405 | + | 0.0365445i | ||||
\(117\) | −3.14561 | − | 12.3617i | −0.290811 | − | 1.14284i | ||||
\(118\) | 1.29816 | + | 7.57065i | 0.119505 | + | 0.696935i | ||||
\(119\) | − | 5.33557i | − | 0.489110i | ||||||
\(120\) | 6.01041 | − | 2.13456i | 0.548673 | − | 0.194858i | ||||
\(121\) | −3.56207 | + | 21.7277i | −0.323824 | + | 1.97524i | ||||
\(122\) | 2.37318 | + | 5.12954i | 0.214857 | + | 0.464406i | ||||
\(123\) | −1.53797 | + | 10.4418i | −0.138675 | + | 0.941503i | ||||
\(124\) | 0.806906 | − | 0.0437492i | 0.0724623 | − | 0.00392879i | ||||
\(125\) | −9.01659 | − | 9.51870i | −0.806468 | − | 0.851378i | ||||
\(126\) | 8.03527 | − | 10.1083i | 0.715839 | − | 0.900516i | ||||
\(127\) | −7.68430 | − | 2.58914i | −0.681871 | − | 0.229749i | −0.0430140 | − | 0.999074i | \(-0.513696\pi\) |
−0.638857 | + | 0.769325i | \(0.720593\pi\) | |||||||
\(128\) | −0.0541389 | + | 0.998533i | −0.00478525 | + | 0.0882587i | ||||
\(129\) | −5.10804 | − | 4.68341i | −0.449738 | − | 0.412352i | ||||
\(130\) | −4.18878 | − | 15.0866i | −0.367381 | − | 1.32319i | ||||
\(131\) | −20.1889 | + | 6.80244i | −1.76391 | + | 0.594332i | −0.998773 | − | 0.0495313i | \(-0.984227\pi\) |
−0.765141 | + | 0.643863i | \(0.777331\pi\) | |||||||
\(132\) | −8.86781 | − | 4.51829i | −0.771844 | − | 0.393267i | ||||
\(133\) | 9.54421 | + | 4.41562i | 0.827588 | + | 0.382883i | ||||
\(134\) | 11.5591 | + | 9.81839i | 0.998554 | + | 0.848180i | ||||
\(135\) | −17.7371 | − | 7.17822i | −1.52657 | − | 0.617803i | ||||
\(136\) | 0.134023 | − | 1.23232i | 0.0114924 | − | 0.105671i | ||||
\(137\) | 8.68280 | − | 3.45954i | 0.741822 | − | 0.295569i | 0.0315556 | − | 0.999502i | \(-0.489954\pi\) |
0.710266 | + | 0.703933i | \(0.248575\pi\) | |||||||
\(138\) | 6.84734 | − | 2.02161i | 0.582884 | − | 0.172091i | ||||
\(139\) | −3.27182 | − | 4.82558i | −0.277512 | − | 0.409300i | 0.663234 | − | 0.748413i | \(-0.269184\pi\) |
−0.940746 | + | 0.339112i | \(0.889873\pi\) | |||||||
\(140\) | 9.59223 | − | 12.6184i | 0.810691 | − | 1.06645i | ||||
\(141\) | 2.15334 | + | 9.07726i | 0.181344 | + | 0.764443i | ||||
\(142\) | −5.73535 | + | 3.04069i | −0.481300 | + | 0.255169i | ||||
\(143\) | −12.5959 | + | 20.9345i | −1.05332 | + | 1.75063i | ||||
\(144\) | 2.10977 | − | 2.13281i | 0.175814 | − | 0.177734i | ||||
\(145\) | 0.695164 | − | 1.31122i | 0.0577302 | − | 0.108891i | ||||
\(146\) | −7.10548 | − | 2.83108i | −0.588054 | − | 0.234302i | ||||
\(147\) | 1.83568 | − | 19.8807i | 0.151404 | − | 1.63973i | ||||
\(148\) | −2.17190 | + | 9.86705i | −0.178529 | + | 0.811066i | ||||
\(149\) | −2.05147 | + | 5.14879i | −0.168063 | + | 0.421805i | −0.988751 | − | 0.149571i | \(-0.952211\pi\) |
0.820688 | + | 0.571376i | \(0.193590\pi\) | |||||||
\(150\) | −13.8615 | − | 5.26346i | −1.13178 | − | 0.429759i | ||||
\(151\) | −5.77917 | − | 9.60505i | −0.470302 | − | 0.781648i | 0.527385 | − | 0.849627i | \(-0.323173\pi\) |
−0.997687 | + | 0.0679786i | \(0.978345\pi\) | |||||||
\(152\) | 2.09346 | + | 1.25959i | 0.169802 | + | 0.102166i | ||||
\(153\) | −2.75455 | + | 2.49835i | −0.222692 | + | 0.201980i | ||||
\(154\) | −24.5879 | + | 2.67410i | −1.98135 | + | 0.215485i | ||||
\(155\) | −2.36898 | − | 1.80085i | −0.190281 | − | 0.144648i | ||||
\(156\) | −4.85827 | − | 5.53467i | −0.388973 | − | 0.443129i | ||||
\(157\) | 11.9992 | − | 1.96716i | 0.957637 | − | 0.156997i | 0.337357 | − | 0.941377i | \(-0.390467\pi\) |
0.620280 | + | 0.784380i | \(0.287019\pi\) | |||||||
\(158\) | 0.301802 | + | 0.757467i | 0.0240101 | + | 0.0602608i | ||||
\(159\) | 6.52788 | − | 0.106133i | 0.517695 | − | 0.00841692i | ||||
\(160\) | 2.53242 | − | 2.67344i | 0.200205 | − | 0.211354i | ||||
\(161\) | 11.4862 | − | 13.5225i | 0.905236 | − | 1.06573i | ||||
\(162\) | −8.98098 | + | 0.584840i | −0.705612 | + | 0.0459494i | ||||
\(163\) | 3.07336 | − | 4.53287i | 0.240724 | − | 0.355042i | −0.688066 | − | 0.725648i | \(-0.741540\pi\) |
0.928790 | + | 0.370607i | \(0.120850\pi\) | |||||||
\(164\) | 1.94570 | + | 5.77462i | 0.151933 | + | 0.450922i | ||||
\(165\) | 14.1172 | + | 33.8218i | 1.09902 | + | 2.63302i | ||||
\(166\) | −1.68699 | − | 1.98608i | −0.130936 | − | 0.154149i | ||||
\(167\) | −19.5636 | − | 1.06071i | −1.51387 | − | 0.0820799i | −0.721628 | − | 0.692281i | \(-0.756606\pi\) |
−0.792246 | + | 0.610201i | \(0.791088\pi\) | |||||||
\(168\) | 1.48409 | − | 7.30605i | 0.114500 | − | 0.563674i | ||||
\(169\) | −4.04294 | + | 3.07336i | −0.310995 | + | 0.236412i | ||||
\(170\) | −3.31398 | + | 3.13917i | −0.254171 | + | 0.240763i | ||||
\(171\) | −2.18941 | − | 6.99490i | −0.167428 | − | 0.534913i | ||||
\(172\) | −3.85526 | − | 1.07041i | −0.293961 | − | 0.0816178i | ||||
\(173\) | 5.97921 | − | 2.76628i | 0.454591 | − | 0.210316i | −0.179212 | − | 0.983810i | \(-0.557355\pi\) |
0.633803 | + | 0.773494i | \(0.281493\pi\) | |||||||
\(174\) | 0.0264555 | − | 0.697547i | 0.00200559 | − | 0.0528809i | ||||
\(175\) | −35.9853 | + | 7.92096i | −2.72023 | + | 0.598768i | ||||
\(176\) | −5.74610 | −0.433129 | ||||||||
\(177\) | 1.12616 | − | 13.2564i | 0.0846477 | − | 0.996411i | ||||
\(178\) | −5.89775 | −0.442055 | ||||||||
\(179\) | −6.78639 | + | 1.49380i | −0.507238 | + | 0.111652i | −0.461214 | − | 0.887289i | \(-0.652586\pi\) |
−0.0460240 | + | 0.998940i | \(0.514655\pi\) | |||||||
\(180\) | −11.0059 | + | 0.956380i | −0.820330 | + | 0.0712844i | ||||
\(181\) | −5.07750 | + | 2.34910i | −0.377408 | + | 0.174607i | −0.599416 | − | 0.800437i | \(-0.704601\pi\) |
0.222009 | + | 0.975045i | \(0.428739\pi\) | |||||||
\(182\) | −17.6343 | − | 4.89613i | −1.30714 | − | 0.362925i | ||||
\(183\) | −1.74058 | − | 9.63342i | −0.128668 | − | 0.712123i | ||||
\(184\) | 2.99256 | − | 2.83470i | 0.220615 | − | 0.208977i | ||||
\(185\) | 29.6185 | − | 22.5154i | 2.17759 | − | 1.65536i | ||||
\(186\) | −1.37164 | − | 0.278623i | −0.100574 | − | 0.0204297i | ||||
\(187\) | 7.11237 | + | 0.385622i | 0.520108 | + | 0.0281994i | ||||
\(188\) | 3.48695 | + | 4.10516i | 0.254312 | + | 0.299399i | ||||
\(189\) | −17.8780 | + | 13.4389i | −1.30043 | + | 0.977539i | ||||
\(190\) | −2.87272 | − | 8.52594i | −0.208409 | − | 0.618536i | ||||
\(191\) | 14.4072 | − | 21.2491i | 1.04247 | − | 1.53753i | 0.214528 | − | 0.976718i | \(-0.431179\pi\) |
0.827943 | − | 0.560812i | \(-0.189511\pi\) | |||||||
\(192\) | 0.526291 | − | 1.65016i | 0.0379817 | − | 0.119090i | ||||
\(193\) | 16.4315 | − | 19.3447i | 1.18277 | − | 1.39246i | 0.281298 | − | 0.959620i | \(-0.409235\pi\) |
0.901470 | − | 0.432842i | \(-0.142489\pi\) | |||||||
\(194\) | 4.98461 | − | 5.26219i | 0.357874 | − | 0.377803i | ||||
\(195\) | 0.440860 | + | 27.1157i | 0.0315706 | + | 1.94180i | ||||
\(196\) | −4.26656 | − | 10.7083i | −0.304755 | − | 0.764876i | ||||
\(197\) | −8.83698 | + | 1.44875i | −0.629609 | + | 0.103219i | −0.468134 | − | 0.883658i | \(-0.655073\pi\) |
−0.161475 | + | 0.986877i | \(0.551625\pi\) | |||||||
\(198\) | 12.8937 | + | 11.4417i | 0.916315 | + | 0.813124i | ||||
\(199\) | −8.54789 | − | 6.49794i | −0.605944 | − | 0.460627i | 0.256663 | − | 0.966501i | \(-0.417377\pi\) |
−0.862607 | + | 0.505874i | \(0.831170\pi\) | |||||||
\(200\) | −8.51028 | + | 0.925549i | −0.601768 | + | 0.0654462i | ||||
\(201\) | −15.0931 | − | 21.4997i | −1.06459 | − | 1.51647i | ||||
\(202\) | 7.39865 | + | 4.45162i | 0.520567 | + | 0.313215i | ||||
\(203\) | −0.894337 | − | 1.48640i | −0.0627701 | − | 0.104325i | ||||
\(204\) | −0.762171 | + | 2.00720i | −0.0533626 | + | 0.140532i | ||||
\(205\) | 8.30568 | − | 20.8457i | 0.580094 | − | 1.45593i | ||||
\(206\) | −0.779444 | + | 3.54105i | −0.0543064 | + | 0.246717i | ||||
\(207\) | −12.3595 | + | 0.401999i | −0.859044 | + | 0.0279409i | ||||
\(208\) | −3.94990 | − | 1.57378i | −0.273876 | − | 0.109122i | ||||
\(209\) | −6.57587 | + | 12.4034i | −0.454863 | + | 0.857962i | ||||
\(210\) | −21.5827 | + | 16.9673i | −1.48935 | + | 1.17086i | ||||
\(211\) | −5.80334 | + | 9.64523i | −0.399518 | + | 0.664005i | −0.989682 | − | 0.143279i | \(-0.954235\pi\) |
0.590164 | + | 0.807283i | \(0.299063\pi\) | |||||||
\(212\) | 3.33029 | − | 1.76561i | 0.228725 | − | 0.121262i | ||||
\(213\) | 10.9400 | − | 2.59524i | 0.749600 | − | 0.177823i | ||||
\(214\) | 7.78894 | − | 10.2462i | 0.532441 | − | 0.700414i | ||||
\(215\) | 8.26846 | + | 12.1951i | 0.563904 | + | 0.831696i | ||||
\(216\) | −4.46675 | + | 2.65484i | −0.303924 | + | 0.180639i | ||||
\(217\) | −3.23122 | + | 1.28744i | −0.219350 | + | 0.0873970i | ||||
\(218\) | −0.871620 | + | 8.01441i | −0.0590335 | + | 0.542804i | ||||
\(219\) | 10.6756 | + | 7.84482i | 0.721387 | + | 0.530104i | ||||
\(220\) | 16.1272 | + | 13.6985i | 1.08729 | + | 0.923555i | ||||
\(221\) | 4.78346 | + | 2.21306i | 0.321770 | + | 0.148867i | ||||
\(222\) | 7.94443 | − | 15.5921i | 0.533195 | − | 1.04647i | ||||
\(223\) | −8.93395 | + | 3.01020i | −0.598262 | + | 0.201578i | −0.602108 | − | 0.798415i | \(-0.705672\pi\) |
0.00384615 | + | 0.999993i | \(0.498776\pi\) | |||||||
\(224\) | −1.15152 | − | 4.14740i | −0.0769392 | − | 0.277110i | ||||
\(225\) | 20.9392 | + | 14.8689i | 1.39595 | + | 0.991258i | ||||
\(226\) | −0.400165 | + | 7.38061i | −0.0266186 | + | 0.490951i | ||||
\(227\) | 10.1614 | + | 3.42378i | 0.674436 | + | 0.227244i | 0.635620 | − | 0.772002i | \(-0.280745\pi\) |
0.0388166 | + | 0.999246i | \(0.487641\pi\) | |||||||
\(228\) | −2.95970 | − | 3.02449i | −0.196011 | − | 0.200302i | ||||
\(229\) | −8.67472 | − | 9.15779i | −0.573241 | − | 0.605164i | 0.373314 | − | 0.927705i | \(-0.378221\pi\) |
−0.946555 | + | 0.322542i | \(0.895463\pi\) | |||||||
\(230\) | −15.1569 | + | 0.821781i | −0.999413 | + | 0.0541866i | ||||
\(231\) | 42.3814 | + | 6.24239i | 2.78849 | + | 0.410719i | ||||
\(232\) | −0.169223 | − | 0.365770i | −0.0111100 | − | 0.0240140i | ||||
\(233\) | 3.09379 | − | 18.8713i | 0.202681 | − | 1.23630i | −0.667892 | − | 0.744258i | \(-0.732803\pi\) |
0.870573 | − | 0.492040i | \(-0.163749\pi\) | |||||||
\(234\) | 5.72946 | + | 11.3965i | 0.374547 | + | 0.745011i | ||||
\(235\) | − | 19.8344i | − | 1.29386i | ||||||
\(236\) | −2.89527 | − | 7.11459i | −0.188466 | − | 0.463120i | ||||
\(237\) | −0.175498 | − | 1.40133i | −0.0113998 | − | 0.0910261i | ||||
\(238\) | 1.14699 | + | 5.21082i | 0.0743482 | + | 0.337767i | ||||
\(239\) | 15.5241 | + | 2.54504i | 1.00417 | + | 0.164625i | 0.641361 | − | 0.767239i | \(-0.278370\pi\) |
0.362807 | + | 0.931864i | \(0.381818\pi\) | |||||||
\(240\) | −5.41103 | + | 3.37671i | −0.349280 | + | 0.217966i | ||||
\(241\) | −5.31194 | + | 19.1319i | −0.342172 | + | 1.23239i | 0.569677 | + | 0.821868i | \(0.307068\pi\) |
−0.911850 | + | 0.410525i | \(0.865346\pi\) | |||||||
\(242\) | −1.19201 | − | 21.9854i | −0.0766256 | − | 1.41328i | ||||
\(243\) | 15.3093 | + | 2.93700i | 0.982091 | + | 0.188409i | ||||
\(244\) | −3.42039 | − | 4.49945i | −0.218968 | − | 0.288048i | ||||
\(245\) | −13.5535 | + | 40.2255i | −0.865904 | + | 2.56991i | ||||
\(246\) | −0.742654 | − | 10.5283i | −0.0473499 | − | 0.671258i | ||||
\(247\) | −7.91742 | + | 6.72512i | −0.503773 | + | 0.427909i | ||||
\(248\) | −0.778636 | + | 0.216187i | −0.0494434 | + | 0.0137279i | ||||
\(249\) | 1.96149 | + | 4.06495i | 0.124304 | + | 0.257606i | ||||
\(250\) | 10.8520 | + | 7.35786i | 0.686342 | + | 0.465352i | ||||
\(251\) | −4.72663 | + | 10.2165i | −0.298342 | + | 0.644857i | −0.997542 | − | 0.0700698i | \(-0.977678\pi\) |
0.699200 | + | 0.714927i | \(0.253540\pi\) | |||||||
\(252\) | −5.67443 | + | 11.5993i | −0.357455 | + | 0.730686i | ||||
\(253\) | 17.1956 | + | 16.2885i | 1.08108 | + | 1.02405i | ||||
\(254\) | 8.06123 | + | 0.876712i | 0.505807 | + | 0.0550098i | ||||
\(255\) | 6.92423 | − | 3.81647i | 0.433612 | − | 0.238997i | ||||
\(256\) | −0.161782 | − | 0.986827i | −0.0101114 | − | 0.0616767i | ||||
\(257\) | −16.8315 | + | 11.4121i | −1.04992 | + | 0.711865i | −0.958831 | − | 0.283977i | \(-0.908346\pi\) |
−0.0910916 | + | 0.995843i | \(0.529036\pi\) | |||||||
\(258\) | 5.99541 | + | 3.47584i | 0.373258 | + | 0.216396i | ||||
\(259\) | −4.70181 | − | 43.2325i | −0.292157 | − | 2.68633i | ||||
\(260\) | 7.33403 | + | 13.8335i | 0.454837 | + | 0.857914i | ||||
\(261\) | −0.348602 | + | 1.15771i | −0.0215779 | + | 0.0716604i | ||||
\(262\) | 18.2546 | − | 10.9834i | 1.12777 | − | 0.678558i | ||||
\(263\) | −2.75221 | − | 1.45913i | −0.169709 | − | 0.0899739i | 0.381389 | − | 0.924415i | \(-0.375446\pi\) |
−0.551097 | + | 0.834441i | \(0.685791\pi\) | |||||||
\(264\) | 9.63179 | + | 2.50634i | 0.592796 | + | 0.154255i | ||||
\(265\) | −13.5560 | − | 2.98391i | −0.832740 | − | 0.183300i | ||||
\(266\) | −10.2703 | − | 2.26066i | −0.629713 | − | 0.138610i | ||||
\(267\) | 9.88598 | + | 2.57249i | 0.605012 | + | 0.157434i | ||||
\(268\) | −13.3995 | − | 7.10398i | −0.818506 | − | 0.433944i | ||||
\(269\) | −0.375390 | + | 0.225865i | −0.0228880 | + | 0.0137712i | −0.526952 | − | 0.849895i | \(-0.676665\pi\) |
0.504064 | + | 0.863666i | \(0.331838\pi\) | |||||||
\(270\) | 18.8655 | + | 3.19744i | 1.14812 | + | 0.194590i | ||||
\(271\) | −1.11755 | − | 2.10792i | −0.0678863 | − | 0.128047i | 0.847246 | − | 0.531201i | \(-0.178259\pi\) |
−0.915132 | + | 0.403153i | \(0.867914\pi\) | |||||||
\(272\) | 0.134023 | + | 1.23232i | 0.00812636 | + | 0.0747207i | ||||
\(273\) | 27.4235 | + | 15.8988i | 1.65974 | + | 0.962237i | ||||
\(274\) | −7.73610 | + | 5.24521i | −0.467355 | + | 0.316875i | ||||
\(275\) | −7.95794 | − | 48.5413i | −0.479882 | − | 2.92715i | ||||
\(276\) | −6.25266 | + | 3.44632i | −0.376366 | + | 0.207444i | ||||
\(277\) | −20.7804 | − | 2.26000i | −1.24857 | − | 0.135790i | −0.540143 | − | 0.841573i | \(-0.681630\pi\) |
−0.708428 | + | 0.705783i | \(0.750595\pi\) | |||||||
\(278\) | 4.23268 | + | 4.00941i | 0.253860 | + | 0.240469i | ||||
\(279\) | 2.17766 | + | 1.06532i | 0.130373 | + | 0.0637791i | ||||
\(280\) | −6.65539 | + | 14.3854i | −0.397736 | + | 0.859692i | ||||
\(281\) | −18.6906 | − | 12.6726i | −1.11499 | − | 0.755981i | −0.142701 | − | 0.989766i | \(-0.545579\pi\) |
−0.972288 | + | 0.233784i | \(0.924889\pi\) | |||||||
\(282\) | −4.05434 | − | 8.40213i | −0.241433 | − | 0.500340i | ||||
\(283\) | −21.1348 | + | 5.86804i | −1.25633 | + | 0.348819i | −0.831028 | − | 0.556231i | \(-0.812247\pi\) |
−0.425305 | + | 0.905050i | \(0.639833\pi\) | |||||||
\(284\) | 4.94760 | − | 4.20253i | 0.293586 | − | 0.249374i | ||||
\(285\) | 1.09649 | + | 15.5445i | 0.0649505 | + | 0.920774i | ||||
\(286\) | 7.80109 | − | 23.1528i | 0.461288 | − | 1.36905i | ||||
\(287\) | −15.8729 | − | 20.8804i | −0.936948 | − | 1.23253i | ||||
\(288\) | −1.60195 | + | 2.53648i | −0.0943959 | + | 0.149464i | ||||
\(289\) | 0.837172 | + | 15.4407i | 0.0492454 | + | 0.908279i | ||||
\(290\) | −0.397038 | + | 1.43000i | −0.0233149 | + | 0.0839726i | ||||
\(291\) | −10.6506 | + | 6.64645i | −0.624350 | + | 0.389622i | ||||
\(292\) | 7.54796 | + | 1.23743i | 0.441711 | + | 0.0724148i | ||||
\(293\) | 2.79252 | + | 12.6865i | 0.163141 | + | 0.741156i | 0.985152 | + | 0.171684i | \(0.0549210\pi\) |
−0.822011 | + | 0.569471i | \(0.807148\pi\) | |||||||
\(294\) | 2.48100 | + | 19.8105i | 0.144695 | + | 1.15537i | ||||
\(295\) | −8.83501 | + | 26.8702i | −0.514394 | + | 1.56445i | ||||
\(296\) | − | 10.1033i | − | 0.587240i | ||||||
\(297\) | −16.6222 | − | 24.8029i | −0.964516 | − | 1.43921i | ||||
\(298\) | 0.896666 | − | 5.46942i | 0.0519424 | − | 0.316835i | ||||
\(299\) | 7.35910 | + | 15.9064i | 0.425588 | + | 0.919893i | ||||
\(300\) | 14.6689 | + | 2.16059i | 0.846909 | + | 0.124742i | ||||
\(301\) | 17.1967 | − | 0.932376i | 0.991199 | − | 0.0537412i | ||||
\(302\) | 7.70885 | + | 8.13814i | 0.443595 | + | 0.468297i | ||||
\(303\) | −10.4601 | − | 10.6891i | −0.600919 | − | 0.614072i | ||||
\(304\) | −2.31529 | − | 0.780111i | −0.132791 | − | 0.0447424i | ||||
\(305\) | −1.12679 | + | 20.7824i | −0.0645197 | + | 1.19000i | ||||
\(306\) | 2.15308 | − | 3.03209i | 0.123083 | − | 0.173333i | ||||
\(307\) | 9.03536 | + | 32.5424i | 0.515675 | + | 1.85729i | 0.514826 | + | 0.857294i | \(0.327856\pi\) |
0.000848695 | 1.00000i | \(0.499730\pi\) | ||||||||
\(308\) | 23.4382 | − | 7.89726i | 1.33552 | − | 0.449988i | ||||
\(309\) | 2.85107 | − | 5.59563i | 0.162191 | − | 0.318324i | ||||
\(310\) | 2.70072 | + | 1.24949i | 0.153391 | + | 0.0709662i | ||||
\(311\) | −5.08308 | − | 4.31761i | −0.288235 | − | 0.244829i | 0.491590 | − | 0.870827i | \(-0.336416\pi\) |
−0.779825 | + | 0.625998i | \(0.784692\pi\) | |||||||
\(312\) | 5.93448 | + | 4.36089i | 0.335974 | + | 0.246887i | ||||
\(313\) | −0.620737 | + | 5.70758i | −0.0350861 | + | 0.322612i | 0.963421 | + | 0.267992i | \(0.0863601\pi\) |
−0.998507 | + | 0.0546196i | \(0.982605\pi\) | |||||||
\(314\) | −11.2957 | + | 4.50064i | −0.637456 | + | 0.253986i | ||||
\(315\) | 43.5783 | − | 19.0272i | 2.45536 | − | 1.07206i | ||||
\(316\) | −0.457580 | − | 0.674879i | −0.0257409 | − | 0.0379649i | ||||
\(317\) | 16.1086 | − | 21.1904i | 0.904747 | − | 1.19017i | −0.0764325 | − | 0.997075i | \(-0.524353\pi\) |
0.981179 | − | 0.193099i | \(-0.0618539\pi\) | |||||||
\(318\) | −6.35245 | + | 1.50695i | −0.356228 | + | 0.0845058i | ||||
\(319\) | 2.04602 | − | 1.08473i | 0.114555 | − | 0.0607334i | ||||
\(320\) | −1.89850 | + | 3.15534i | −0.106130 | + | 0.176389i | ||||
\(321\) | −17.5252 | + | 13.7776i | −0.978163 | + | 0.768988i | ||||
\(322\) | −8.31067 | + | 15.6756i | −0.463135 | + | 0.873566i | ||||
\(323\) | 2.81345 | + | 1.12098i | 0.156544 | + | 0.0623730i | ||||
\(324\) | 8.64528 | − | 2.50181i | 0.480294 | − | 0.138990i | ||||
\(325\) | 7.82450 | − | 35.5471i | 0.434025 | − | 1.97180i | ||||
\(326\) | −2.02707 | + | 5.08757i | −0.112269 | + | 0.281775i | ||||
\(327\) | 4.95677 | − | 13.0538i | 0.274110 | − | 0.721877i | ||||
\(328\) | −3.14158 | − | 5.22135i | −0.173465 | − | 0.288301i | ||||
\(329\) | −19.8652 | − | 11.9525i | −1.09520 | − | 0.658962i | ||||
\(330\) | −21.0578 | − | 29.9963i | −1.15919 | − | 1.65124i | ||||
\(331\) | 33.1865 | − | 3.60925i | 1.82409 | − | 0.198382i | 0.869025 | − | 0.494767i | \(-0.164747\pi\) |
0.955069 | + | 0.296385i | \(0.0957812\pi\) | |||||||
\(332\) | 2.07450 | + | 1.57699i | 0.113853 | + | 0.0865486i | ||||
\(333\) | −20.1177 | + | 22.6707i | −1.10244 | + | 1.24235i | ||||
\(334\) | 19.3342 | − | 3.16968i | 1.05792 | − | 0.173437i | ||||
\(335\) | 20.6718 | + | 51.8823i | 1.12942 | + | 2.83463i | ||||
\(336\) | 0.121195 | + | 7.45427i | 0.00661173 | + | 0.406664i | ||||
\(337\) | 0.852837 | − | 0.900330i | 0.0464570 | − | 0.0490441i | −0.702353 | − | 0.711829i | \(-0.747867\pi\) |
0.748810 | + | 0.662785i | \(0.230626\pi\) | |||||||
\(338\) | 3.28773 | − | 3.87062i | 0.178829 | − | 0.210534i | ||||
\(339\) | 3.89005 | − | 12.1971i | 0.211279 | − | 0.662453i | ||||
\(340\) | 2.56167 | − | 3.77818i | 0.138926 | − | 0.204901i | ||||
\(341\) | −1.48264 | − | 4.40031i | −0.0802893 | − | 0.238290i | ||||
\(342\) | 3.64192 | + | 6.36071i | 0.196932 | + | 0.343948i | ||||
\(343\) | 12.6145 | + | 14.8510i | 0.681121 | + | 0.801877i | ||||
\(344\) | 3.99523 | + | 0.216615i | 0.215409 | + | 0.0116791i | ||||
\(345\) | 25.7648 | + | 5.23364i | 1.38713 | + | 0.281770i | ||||
\(346\) | −5.24475 | + | 3.98696i | −0.281960 | + | 0.214340i | ||||
\(347\) | −5.43513 | + | 5.14843i | −0.291773 | + | 0.276382i | −0.819558 | − | 0.572996i | \(-0.805781\pi\) |
0.527785 | + | 0.849378i | \(0.323023\pi\) | |||||||
\(348\) | 0.124115 | + | 0.686926i | 0.00665326 | + | 0.0368231i | ||||
\(349\) | −10.5071 | − | 2.91728i | −0.562432 | − | 0.156158i | −0.0253350 | − | 0.999679i | \(-0.508065\pi\) |
−0.537097 | + | 0.843521i | \(0.680479\pi\) | |||||||
\(350\) | 33.4412 | − | 15.4715i | 1.78751 | − | 0.826989i | ||||
\(351\) | −4.63297 | − | 21.6022i | −0.247290 | − | 1.15304i | ||||
\(352\) | 5.61176 | − | 1.23524i | 0.299108 | − | 0.0658386i | ||||
\(353\) | 22.0117 | 1.17156 | 0.585781 | − | 0.810469i | \(-0.300788\pi\) | ||||
0.585781 | + | 0.810469i | \(0.300788\pi\) | |||||||
\(354\) | 1.74990 | + | 13.1886i | 0.0930059 | + | 0.700964i | ||||
\(355\) | −23.9048 | −1.26873 | ||||||||
\(356\) | 5.75986 | − | 1.26784i | 0.305272 | − | 0.0671955i | ||||
\(357\) | 0.350245 | − | 9.23483i | 0.0185369 | − | 0.488759i | ||||
\(358\) | 6.30660 | − | 2.91775i | 0.333314 | − | 0.154208i | ||||
\(359\) | −22.1374 | − | 6.14641i | −1.16836 | − | 0.324395i | −0.371431 | − | 0.928461i | \(-0.621133\pi\) |
−0.796934 | + | 0.604066i | \(0.793546\pi\) | |||||||
\(360\) | 10.5430 | − | 3.29996i | 0.555664 | − | 0.173923i | ||||
\(361\) | 9.46036 | − | 8.96132i | 0.497913 | − | 0.471649i | ||||
\(362\) | 4.45380 | − | 3.38569i | 0.234087 | − | 0.177948i | ||||
\(363\) | −7.59153 | + | 37.3725i | −0.398452 | + | 1.96155i | ||||
\(364\) | 18.2745 | + | 0.990814i | 0.957844 | + | 0.0519328i | ||||
\(365\) | −18.2343 | − | 21.4671i | −0.954428 | − | 1.12364i | ||||
\(366\) | 3.77079 | + | 9.03402i | 0.197102 | + | 0.472216i | ||||
\(367\) | 0.198497 | + | 0.589119i | 0.0103615 | + | 0.0307518i | 0.952709 | − | 0.303884i | \(-0.0982834\pi\) |
−0.942348 | + | 0.334635i | \(0.891387\pi\) | |||||||
\(368\) | −2.31322 | + | 3.41174i | −0.120585 | + | 0.177849i | ||||
\(369\) | −3.34737 | + | 17.9717i | −0.174257 | + | 0.935571i | ||||
\(370\) | −24.0859 | + | 28.3561i | −1.25216 | + | 1.47416i | ||||
\(371\) | −11.1576 | + | 11.7789i | −0.579272 | + | 0.611530i | ||||
\(372\) | 1.39947 | − | 0.0227532i | 0.0725591 | − | 0.00117970i | ||||
\(373\) | 6.50150 | + | 16.3175i | 0.336635 | + | 0.844889i | 0.995686 | + | 0.0927910i | \(0.0295789\pi\) |
−0.659051 | + | 0.752098i | \(0.729042\pi\) | |||||||
\(374\) | −7.02899 | + | 1.15234i | −0.363460 | + | 0.0595863i | ||||
\(375\) | −14.9811 | − | 17.0669i | −0.773622 | − | 0.881331i | ||||
\(376\) | −4.28792 | − | 3.25959i | −0.221132 | − | 0.168101i | ||||
\(377\) | 1.70354 | − | 0.185271i | 0.0877368 | − | 0.00954195i | ||||
\(378\) | 14.5710 | − | 16.9680i | 0.749453 | − | 0.872739i | ||||
\(379\) | −3.93530 | − | 2.36779i | −0.202143 | − | 0.121625i | 0.410883 | − | 0.911688i | \(-0.365220\pi\) |
−0.613026 | + | 0.790063i | \(0.710048\pi\) | |||||||
\(380\) | 4.63838 | + | 7.70905i | 0.237944 | + | 0.395466i | ||||
\(381\) | −13.1301 | − | 4.98573i | −0.672674 | − | 0.255427i | ||||
\(382\) | −9.50248 | + | 23.8494i | −0.486189 | + | 1.22024i | ||||
\(383\) | 1.80353 | − | 8.19352i | 0.0921561 | − | 0.418669i | −0.907844 | − | 0.419309i | \(-0.862272\pi\) |
1.00000 | 0.000639364i | \(0.000203516\pi\) | ||||||||
\(384\) | −0.159251 | + | 1.72471i | −0.00812675 | + | 0.0880140i | ||||
\(385\) | −84.6092 | − | 33.7114i | −4.31208 | − | 1.71809i | ||||
\(386\) | −11.8888 | + | 22.4247i | −0.605126 | + | 1.14139i | ||||
\(387\) | −8.53359 | − | 8.44139i | −0.433787 | − | 0.429100i | ||||
\(388\) | −3.73686 | + | 6.21071i | −0.189710 | + | 0.315301i | ||||
\(389\) | 10.3162 | − | 5.46928i | 0.523050 | − | 0.277303i | −0.185892 | − | 0.982570i | \(-0.559518\pi\) |
0.708942 | + | 0.705267i | \(0.249173\pi\) | |||||||
\(390\) | −6.25963 | − | 26.3870i | −0.316969 | − | 1.33616i | ||||
\(391\) | 3.09220 | − | 4.06772i | 0.156379 | − | 0.205714i | ||||
\(392\) | 6.46877 | + | 9.54073i | 0.326722 | + | 0.481880i | ||||
\(393\) | −35.3896 | + | 10.4484i | −1.78517 | + | 0.527054i | ||||
\(394\) | 8.31894 | − | 3.31457i | 0.419102 | − | 0.166986i | ||||
\(395\) | −0.324637 | + | 2.98499i | −0.0163343 | + | 0.150191i | ||||
\(396\) | −15.0519 | − | 8.40241i | −0.756385 | − | 0.422237i | ||||
\(397\) | 7.59493 | + | 6.45119i | 0.381179 | + | 0.323776i | 0.817408 | − | 0.576060i | \(-0.195410\pi\) |
−0.436229 | + | 0.899836i | \(0.643686\pi\) | |||||||
\(398\) | 9.74491 | + | 4.50848i | 0.488468 | + | 0.225990i | ||||
\(399\) | 16.2293 | + | 8.26910i | 0.812483 | + | 0.413973i | ||||
\(400\) | 8.11235 | − | 2.73337i | 0.405617 | − | 0.136668i | ||||
\(401\) | −7.61047 | − | 27.4104i | −0.380049 | − | 1.36881i | −0.868270 | − | 0.496092i | \(-0.834768\pi\) |
0.488221 | − | 0.872720i | \(-0.337646\pi\) | |||||||
\(402\) | 19.3621 | + | 17.7525i | 0.965692 | + | 0.885415i | ||||
\(403\) | 0.186016 | − | 3.43087i | 0.00926613 | − | 0.170904i | ||||
\(404\) | −8.18264 | − | 2.75705i | −0.407102 | − | 0.137169i | ||||
\(405\) | −30.2283 | − | 13.5884i | −1.50206 | − | 0.675215i | ||||
\(406\) | 1.19296 | + | 1.25939i | 0.0592056 | + | 0.0625026i | ||||
\(407\) | 57.9692 | − | 3.14300i | 2.87343 | − | 0.155793i | ||||
\(408\) | 0.312863 | − | 2.12412i | 0.0154890 | − | 0.105159i | ||||
\(409\) | −12.4413 | − | 26.8915i | −0.615183 | − | 1.32970i | −0.925386 | − | 0.379027i | \(-0.876259\pi\) |
0.310202 | − | 0.950671i | \(-0.399603\pi\) | |||||||
\(410\) | −3.63029 | + | 22.1438i | −0.179287 | + | 1.09360i | ||||
\(411\) | 15.2553 | − | 5.41783i | 0.752491 | − | 0.267242i | ||||
\(412\) | − | 3.62582i | − | 0.178631i | ||||||
\(413\) | 21.5878 | + | 25.0411i | 1.06227 | + | 1.23219i | ||||
\(414\) | 11.9841 | − | 3.04953i | 0.588987 | − | 0.149876i | ||||
\(415\) | −2.06284 | − | 9.37156i | −0.101261 | − | 0.460032i | ||||
\(416\) | 4.19587 | + | 0.687877i | 0.205719 | + | 0.0337260i | ||||
\(417\) | −5.34612 | − | 8.56691i | −0.261801 | − | 0.419524i | ||||
\(418\) | 3.75577 | − | 13.5270i | 0.183701 | − | 0.661630i | ||||
\(419\) | −0.674232 | − | 12.4355i | −0.0329384 | − | 0.607513i | −0.967679 | − | 0.252183i | \(-0.918851\pi\) |
0.934741 | − | 0.355330i | \(-0.115631\pi\) | |||||||
\(420\) | 17.4306 | − | 21.2103i | 0.850527 | − | 1.03496i | ||||
\(421\) | 2.14811 | + | 2.82579i | 0.104693 | + | 0.137721i | 0.845456 | − | 0.534046i | \(-0.179329\pi\) |
−0.740763 | + | 0.671766i | \(0.765536\pi\) | |||||||
\(422\) | 3.59422 | − | 10.6673i | 0.174964 | − | 0.519275i | ||||
\(423\) | 3.13116 | + | 15.8523i | 0.152242 | + | 0.770767i | ||||
\(424\) | −2.87287 | + | 2.44024i | −0.139519 | + | 0.118509i | ||||
\(425\) | −10.2247 | + | 2.83887i | −0.495970 | + | 0.137705i | ||||
\(426\) | −10.1264 | + | 4.88635i | −0.490624 | + | 0.236745i | ||||
\(427\) | 20.1356 | + | 13.6523i | 0.974430 | + | 0.660680i | ||||
\(428\) | −5.40421 | + | 11.6810i | −0.261222 | + | 0.564623i | ||||
\(429\) | −23.1752 | + | 35.4067i | −1.11891 | + | 1.70945i | ||||
\(430\) | −10.6967 | − | 10.1325i | −0.515842 | − | 0.488631i | ||||
\(431\) | 22.7364 | + | 2.47273i | 1.09517 | + | 0.119107i | 0.637825 | − | 0.770181i | \(-0.279834\pi\) |
0.457347 | + | 0.889288i | \(0.348800\pi\) | |||||||
\(432\) | 3.79160 | − | 3.55299i | 0.182424 | − | 0.170943i | ||||
\(433\) | 5.36745 | + | 32.7400i | 0.257943 | + | 1.57338i | 0.724742 | + | 0.689020i | \(0.241959\pi\) |
−0.466799 | + | 0.884363i | \(0.654593\pi\) | |||||||
\(434\) | 2.87892 | − | 1.95196i | 0.138193 | − | 0.0936969i | ||||
\(435\) | 1.28927 | − | 2.22383i | 0.0618156 | − | 0.106625i | ||||
\(436\) | −0.871620 | − | 8.01441i | −0.0417430 | − | 0.383821i | ||||
\(437\) | 4.71725 | + | 8.89768i | 0.225657 | + | 0.425634i | ||||
\(438\) | −12.1124 | − | 5.36649i | −0.578752 | − | 0.256421i | ||||
\(439\) | −5.75211 | + | 3.46093i | −0.274533 | + | 0.165181i | −0.646162 | − | 0.763200i | \(-0.723627\pi\) |
0.371629 | + | 0.928381i | \(0.378799\pi\) | |||||||
\(440\) | −18.6949 | − | 9.91141i | −0.891244 | − | 0.472508i | ||||
\(441\) | 4.48225 | − | 34.2891i | 0.213440 | − | 1.63282i | ||||
\(442\) | −5.14737 | − | 1.13302i | −0.244835 | − | 0.0538923i | ||||
\(443\) | −11.7197 | − | 2.57970i | −0.556820 | − | 0.122565i | −0.0723596 | − | 0.997379i | \(-0.523053\pi\) |
−0.484460 | + | 0.874813i | \(0.660984\pi\) | |||||||
\(444\) | −4.40685 | + | 16.9354i | −0.209140 | + | 0.803718i | ||||
\(445\) | −19.1883 | − | 10.1730i | −0.909611 | − | 0.482245i | ||||
\(446\) | 8.07798 | − | 4.86036i | 0.382503 | − | 0.230145i | ||||
\(447\) | −3.88867 | + | 8.77689i | −0.183928 | + | 0.415133i | ||||
\(448\) | 2.01617 | + | 3.80290i | 0.0952550 | + | 0.179670i | ||||
\(449\) | −0.900672 | − | 8.28154i | −0.0425053 | − | 0.390830i | −0.995995 | − | 0.0894054i | \(-0.971503\pi\) |
0.953490 | − | 0.301425i | \(-0.0974622\pi\) | |||||||
\(450\) | −23.6460 | − | 10.0199i | −1.11468 | − | 0.472344i | ||||
\(451\) | 28.9811 | − | 19.6497i | 1.36467 | − | 0.925266i | ||||
\(452\) | −1.19580 | − | 7.29408i | −0.0562459 | − | 0.343085i | ||||
\(453\) | −9.37211 | − | 17.0038i | −0.440340 | − | 0.798910i | ||||
\(454\) | −10.6599 | − | 1.15933i | −0.500292 | − | 0.0544100i | ||||
\(455\) | −48.9276 | − | 46.3467i | −2.29376 | − | 2.17277i | ||||
\(456\) | 3.54068 | + | 2.31753i | 0.165808 | + | 0.108528i | ||||
\(457\) | 9.87115 | − | 21.3361i | 0.461753 | − | 0.998063i | −0.527187 | − | 0.849749i | \(-0.676753\pi\) |
0.988940 | − | 0.148314i | \(-0.0473845\pi\) | |||||||
\(458\) | 10.4406 | + | 7.07887i | 0.487855 | + | 0.330774i | ||||
\(459\) | −4.93159 | + | 4.14334i | −0.230187 | + | 0.193395i | ||||
\(460\) | 14.6258 | − | 4.06084i | 0.681933 | − | 0.189338i | ||||
\(461\) | −4.94090 | + | 4.19684i | −0.230121 | + | 0.195466i | −0.755027 | − | 0.655694i | \(-0.772376\pi\) |
0.524906 | + | 0.851160i | \(0.324100\pi\) | |||||||
\(462\) | −42.7325 | + | 3.01431i | −1.98810 | + | 0.140238i | ||||
\(463\) | −9.42699 | + | 27.9783i | −0.438110 | + | 1.30026i | 0.470420 | + | 0.882443i | \(0.344102\pi\) |
−0.908530 | + | 0.417820i | \(0.862794\pi\) | |||||||
\(464\) | 0.243896 | + | 0.320840i | 0.0113226 | + | 0.0148946i | ||||
\(465\) | −3.98203 | − | 3.27243i | −0.184662 | − | 0.151756i | ||||
\(466\) | 1.03531 | + | 19.0952i | 0.0479598 | + | 0.884566i | ||||
\(467\) | −5.03097 | + | 18.1199i | −0.232805 | + | 0.838490i | 0.751158 | + | 0.660122i | \(0.229495\pi\) |
−0.983964 | + | 0.178368i | \(0.942918\pi\) | |||||||
\(468\) | −8.04541 | − | 9.89836i | −0.371899 | − | 0.457552i | ||||
\(469\) | 64.4198 | + | 10.5611i | 2.97463 | + | 0.487666i | ||||
\(470\) | 4.26382 | + | 19.3707i | 0.196675 | + | 0.893505i | ||||
\(471\) | 20.8974 | − | 2.61711i | 0.962899 | − | 0.120590i | ||||
\(472\) | 4.35701 | + | 6.32586i | 0.200548 | + | 0.291171i | ||||
\(473\) | 22.9907i | 1.05712i | ||||||||
\(474\) | 0.472639 | + | 1.33084i | 0.0217090 | + | 0.0611275i | ||||
\(475\) | 3.38363 | − | 20.6392i | 0.155252 | − | 0.946993i | ||||
\(476\) | −2.24035 | − | 4.84243i | −0.102686 | − | 0.221952i | ||||
\(477\) | 11.3055 | + | 0.244817i | 0.517642 | + | 0.0112094i | ||||
\(478\) | −15.7082 | + | 0.851675i | −0.718478 | + | 0.0389547i | ||||
\(479\) | −16.3391 | − | 17.2490i | −0.746552 | − | 0.788126i | 0.236465 | − | 0.971640i | \(-0.424011\pi\) |
−0.983017 | + | 0.183514i | \(0.941253\pi\) | |||||||
\(480\) | 4.55863 | − | 4.46098i | 0.208072 | − | 0.203615i | ||||
\(481\) | 40.7091 | + | 13.7165i | 1.85618 | + | 0.625418i | ||||
\(482\) | 1.07496 | − | 19.8265i | 0.0489632 | − | 0.903072i | ||||
\(483\) | 20.7680 | − | 22.6509i | 0.944976 | − | 1.03065i | ||||
\(484\) | 5.89036 | + | 21.2152i | 0.267744 | + | 0.964325i | ||||
\(485\) | 25.2941 | − | 8.52257i | 1.14855 | − | 0.386990i | ||||
\(486\) | −15.5827 | + | 0.422703i | −0.706847 | + | 0.0191742i | ||||
\(487\) | 30.5421 | + | 14.1303i | 1.38400 | + | 0.640305i | 0.963677 | − | 0.267072i | \(-0.0860560\pi\) |
0.420319 | + | 0.907376i | \(0.361918\pi\) | |||||||
\(488\) | 4.30767 | + | 3.65897i | 0.194999 | + | 0.165634i | ||||
\(489\) | 5.61695 | − | 7.64377i | 0.254007 | − | 0.345663i | ||||
\(490\) | 4.58938 | − | 42.1986i | 0.207327 | − | 1.90634i | ||||
\(491\) | −22.0651 | + | 8.79154i | −0.995784 | + | 0.396757i | −0.810379 | − | 0.585905i | \(-0.800739\pi\) |
−0.185405 | + | 0.982662i | \(0.559360\pi\) | |||||||
\(492\) | 2.98856 | + | 10.1225i | 0.134735 | + | 0.456356i | ||||
\(493\) | −0.280357 | − | 0.413495i | −0.0126266 | − | 0.0186229i | ||||
\(494\) | 6.28661 | − | 8.26990i | 0.282848 | − | 0.372080i | ||||
\(495\) | 22.2139 | + | 59.4656i | 0.998440 | + | 2.67278i | ||||
\(496\) | 0.713958 | − | 0.378517i | 0.0320577 | − | 0.0169959i | ||||
\(497\) | −14.4053 | + | 23.9418i | −0.646167 | + | 1.07394i | ||||
\(498\) | −2.78948 | − | 3.54825i | −0.124999 | − | 0.159001i | ||||
\(499\) | −19.5259 | + | 36.8298i | −0.874099 | + | 1.64873i | −0.119215 | + | 0.992869i | \(0.538038\pi\) |
−0.754885 | + | 0.655858i | \(0.772307\pi\) | |||||||
\(500\) | −12.1800 | − | 4.85297i | −0.544708 | − | 0.217031i | ||||
\(501\) | −33.7911 | − | 3.12010i | −1.50968 | − | 0.139396i | ||||
\(502\) | 2.41989 | − | 10.9937i | 0.108005 | − | 0.490672i | ||||
\(503\) | 9.41421 | − | 23.6279i | 0.419759 | − | 1.05351i | −0.555316 | − | 0.831639i | \(-0.687403\pi\) |
0.975075 | − | 0.221876i | \(-0.0712179\pi\) | |||||||
\(504\) | 3.04826 | − | 12.5479i | 0.135780 | − | 0.558929i | ||||
\(505\) | 16.3929 | + | 27.2452i | 0.729474 | + | 1.21239i | ||||
\(506\) | −20.2951 | − | 12.2112i | −0.902227 | − | 0.542852i | ||||
\(507\) | −7.19929 | + | 5.05400i | −0.319732 | + | 0.224456i | ||||
\(508\) | −8.06123 | + | 0.876712i | −0.357659 | + | 0.0388978i | ||||
\(509\) | −3.96346 | − | 3.01294i | −0.175677 | − | 0.133546i | 0.513641 | − | 0.858005i | \(-0.328296\pi\) |
−0.689318 | + | 0.724459i | \(0.742090\pi\) | |||||||
\(510\) | −5.94192 | + | 5.21575i | −0.263113 | + | 0.230957i | ||||
\(511\) | −32.4886 | + | 5.32624i | −1.43721 | + | 0.235619i | ||||
\(512\) | 0.370138 | + | 0.928977i | 0.0163579 | + | 0.0410554i | ||||
\(513\) | −3.33027 | − | 12.2505i | −0.147035 | − | 0.540875i | ||||
\(514\) | 13.9848 | − | 14.7635i | 0.616842 | − | 0.651192i | ||||
\(515\) | −8.64384 | + | 10.1763i | −0.380893 | + | 0.448422i | ||||
\(516\) | −6.60244 | − | 2.10574i | −0.290656 | − | 0.0927001i | ||||
\(517\) | 17.3686 | − | 25.6167i | 0.763868 | − | 1.12662i | ||||
\(518\) | 13.8856 | + | 41.2110i | 0.610098 | + | 1.81071i | ||||
\(519\) | 10.5304 | − | 4.39540i | 0.462235 | − | 0.192936i | ||||
\(520\) | −10.1364 | − | 11.9334i | −0.444508 | − | 0.523316i | ||||
\(521\) | 22.5219 | + | 1.22110i | 0.986703 | + | 0.0534975i | 0.540421 | − | 0.841395i | \(-0.318265\pi\) |
0.446282 | + | 0.894892i | \(0.352748\pi\) | |||||||
\(522\) | 0.0915789 | − | 1.20558i | 0.00400830 | − | 0.0527669i | ||||
\(523\) | −4.15821 | + | 3.16099i | −0.181826 | + | 0.138221i | −0.692128 | − | 0.721775i | \(-0.743327\pi\) |
0.510302 | + | 0.859995i | \(0.329534\pi\) | |||||||
\(524\) | −15.4667 | + | 14.6508i | −0.675666 | + | 0.640024i | ||||
\(525\) | −62.8035 | + | 11.3475i | −2.74097 | + | 0.495243i | ||||
\(526\) | 3.00154 | + | 0.833373i | 0.130873 | + | 0.0363368i | ||||
\(527\) | −0.909121 | + | 0.420604i | −0.0396019 | + | 0.0183218i | ||||
\(528\) | −9.94539 | − | 0.377194i | −0.432818 | − | 0.0164153i | ||||
\(529\) | −5.86854 | + | 1.29176i | −0.255154 | + | 0.0561636i | ||||
\(530\) | 13.8805 | 0.602932 | ||||||||
\(531\) | 2.81937 | − | 22.8703i | 0.122350 | − | 0.992487i | ||||
\(532\) | 10.5162 | 0.455934 | ||||||||
\(533\) | 25.3035 | − | 5.56972i | 1.09602 | − | 0.241252i | ||||
\(534\) | −10.2079 | − | 0.387149i | −0.441737 | − | 0.0167536i | ||||
\(535\) | 43.0148 | − | 19.9008i | 1.85969 | − | 0.860385i | ||||
\(536\) | 14.6134 | + | 4.05739i | 0.631202 | + | 0.175252i | ||||
\(537\) | −11.8440 | + | 2.13999i | −0.511105 | + | 0.0923474i | ||||
\(538\) | 0.318060 | − | 0.301282i | 0.0137125 | − | 0.0129892i | ||||
\(539\) | −52.7293 | + | 40.0837i | −2.27121 | + | 1.72653i | ||||
\(540\) | −19.1118 | + | 0.932845i | −0.822442 | + | 0.0401432i | ||||
\(541\) | 10.0205 | + | 0.543298i | 0.430817 | + | 0.0233582i | 0.268273 | − | 0.963343i | \(-0.413547\pi\) |
0.162544 | + | 0.986701i | \(0.448030\pi\) | |||||||
\(542\) | 1.54456 | + | 1.81840i | 0.0663446 | + | 0.0781069i | ||||
\(543\) | −8.94237 | + | 3.73254i | −0.383754 | + | 0.160178i | ||||
\(544\) | −0.395803 | − | 1.17470i | −0.0169699 | − | 0.0503650i | ||||
\(545\) | −16.6598 | + | 24.5714i | −0.713627 | + | 1.05252i | ||||
\(546\) | −30.2001 | − | 9.63182i | −1.29244 | − | 0.412204i | ||||
\(547\) | 24.8405 | − | 29.2445i | 1.06210 | − | 1.25040i | 0.0951442 | − | 0.995463i | \(-0.469669\pi\) |
0.966957 | − | 0.254939i | \(-0.0820554\pi\) | |||||||
\(548\) | 6.42767 | − | 6.78561i | 0.274577 | − | 0.289867i | ||||
\(549\) | −2.38024 | − | 16.7878i | −0.101586 | − | 0.716487i | ||||
\(550\) | 18.2068 | + | 45.6957i | 0.776342 | + | 1.94847i | ||||
\(551\) | 0.971676 | − | 0.159298i | 0.0413948 | − | 0.00678633i | ||||
\(552\) | 5.36562 | − | 4.70988i | 0.228376 | − | 0.200466i | ||||
\(553\) | 2.79399 | + | 2.12394i | 0.118813 | + | 0.0903189i | ||||
\(554\) | 20.7804 | − | 2.26000i | 0.882873 | − | 0.0960182i | ||||
\(555\) | 52.7418 | − | 37.0255i | 2.23877 | − | 1.57164i | ||||
\(556\) | −4.99563 | − | 3.00577i | −0.211862 | − | 0.127473i | ||||
\(557\) | −14.2479 | − | 23.6802i | −0.603702 | − | 1.00336i | −0.996488 | − | 0.0837312i | \(-0.973316\pi\) |
0.392786 | − | 0.919630i | \(-0.371511\pi\) | |||||||
\(558\) | −2.35576 | − | 0.572283i | −0.0997272 | − | 0.0242267i | ||||
\(559\) | −6.29686 | + | 15.8039i | −0.266329 | + | 0.668435i | ||||
\(560\) | 3.40736 | − | 15.4798i | 0.143987 | − | 0.654141i | ||||
\(561\) | 12.2848 | + | 1.13432i | 0.518666 | + | 0.0478909i | ||||
\(562\) | 20.9779 | + | 8.35835i | 0.884898 | + | 0.352576i | ||||
\(563\) | −10.7606 | + | 20.2967i | −0.453505 | + | 0.855402i | 0.546335 | + | 0.837566i | \(0.316022\pi\) |
−0.999841 | + | 0.0178356i | \(0.994322\pi\) | |||||||
\(564\) | 5.76576 | + | 7.33413i | 0.242782 | + | 0.308823i | ||||
\(565\) | −14.0327 | + | 23.3225i | −0.590360 | + | 0.981186i | ||||
\(566\) | 19.3792 | − | 10.2742i | 0.814569 | − | 0.431857i | ||||
\(567\) | −31.8255 | + | 22.0866i | −1.33655 | + | 0.927552i | ||||
\(568\) | −3.92851 | + | 5.16786i | −0.164836 | + | 0.216839i | ||||
\(569\) | 19.7091 | + | 29.0687i | 0.826247 | + | 1.21862i | 0.973310 | + | 0.229496i | \(0.0737078\pi\) |
−0.147063 | + | 0.989127i | \(0.546982\pi\) | |||||||
\(570\) | −4.41245 | − | 14.9453i | −0.184817 | − | 0.625991i | ||||
\(571\) | −27.8555 | + | 11.0987i | −1.16572 | + | 0.464464i | −0.871078 | − | 0.491144i | \(-0.836579\pi\) |
−0.294639 | + | 0.955609i | \(0.595200\pi\) | |||||||
\(572\) | −2.64153 | + | 24.2885i | −0.110448 | + | 1.01555i | ||||
\(573\) | 26.3310 | − | 35.8323i | 1.09999 | − | 1.49692i | ||||
\(574\) | 19.9905 | + | 16.9801i | 0.834387 | + | 0.708734i | ||||
\(575\) | −32.0250 | − | 14.8163i | −1.33553 | − | 0.617884i | ||||
\(576\) | 1.01923 | − | 2.82155i | 0.0424679 | − | 0.117565i | ||||
\(577\) | −30.6985 | + | 10.3435i | −1.27800 | + | 0.430607i | −0.874790 | − | 0.484503i | \(-0.839001\pi\) |
−0.403205 | + | 0.915109i | \(0.632104\pi\) | |||||||
\(578\) | −4.13690 | − | 14.8998i | −0.172072 | − | 0.619749i | ||||
\(579\) | 29.7097 | − | 32.4033i | 1.23469 | − | 1.34664i | ||||
\(580\) | 0.0803474 | − | 1.48192i | 0.00333624 | − | 0.0615334i | ||||
\(581\) | −10.6292 | − | 3.58139i | −0.440973 | − | 0.148581i | ||||
\(582\) | 8.97282 | − | 8.78062i | 0.371936 | − | 0.363969i | ||||
\(583\) | −14.8950 | − | 15.7245i | −0.616889 | − | 0.651242i | ||||
\(584\) | −7.63750 | + | 0.414093i | −0.316042 | + | 0.0171353i | ||||
\(585\) | −1.01693 | + | 46.9610i | −0.0420448 | + | 1.94160i | ||||
\(586\) | −5.45446 | − | 11.7896i | −0.225322 | − | 0.487025i | ||||
\(587\) | −0.410267 | + | 2.50252i | −0.0169335 | + | 0.103290i | −0.993941 | − | 0.109915i | \(-0.964942\pi\) |
0.977007 | + | 0.213205i | \(0.0683903\pi\) | |||||||
\(588\) | −6.68167 | − | 18.8140i | −0.275547 | − | 0.775877i | ||||
\(589\) | − | 1.97431i | − | 0.0813501i | ||||||
\(590\) | 2.85215 | − | 28.1413i | 0.117421 | − | 1.15856i | ||||
\(591\) | −15.3902 | + | 1.92742i | −0.633069 | + | 0.0792833i | ||||
\(592\) | 2.17190 | + | 9.86705i | 0.0892646 | + | 0.405533i | ||||
\(593\) | −4.64278 | − | 0.761146i | −0.190656 | − | 0.0312565i | 0.0656972 | − | 0.997840i | \(-0.479073\pi\) |
−0.256354 | + | 0.966583i | \(0.582521\pi\) | |||||||
\(594\) | 21.5654 | + | 20.6497i | 0.884840 | + | 0.847268i | ||||
\(595\) | −5.25639 | + | 18.9318i | −0.215491 | + | 0.776128i | ||||
\(596\) | 0.300061 | + | 5.53430i | 0.0122910 | + | 0.226694i | ||||
\(597\) | −14.3682 | − | 11.8078i | −0.588051 | − | 0.483261i | ||||
\(598\) | −10.6065 | − | 13.9526i | −0.433730 | − | 0.570563i | ||||
\(599\) | 7.59268 | − | 22.5343i | 0.310229 | − | 0.920725i | −0.673205 | − | 0.739456i | \(-0.735083\pi\) |
0.983433 | − | 0.181269i | \(-0.0580206\pi\) | |||||||
\(600\) | −14.7904 | + | 1.04330i | −0.603816 | + | 0.0425926i | ||||
\(601\) | 14.0109 | − | 11.9010i | 0.571518 | − | 0.485451i | −0.314402 | − | 0.949290i | \(-0.601804\pi\) |
0.885920 | + | 0.463838i | \(0.153528\pi\) | |||||||
\(602\) | −16.5942 | + | 4.60735i | −0.676328 | + | 0.187782i | ||||
\(603\) | −24.7119 | − | 38.2027i | −1.00635 | − | 1.55573i | ||||
\(604\) | −9.27809 | − | 6.29070i | −0.377520 | − | 0.255965i | ||||
\(605\) | 34.0443 | − | 73.5854i | 1.38410 | − | 2.99167i | ||||
\(606\) | 12.5134 | + | 8.19057i | 0.508323 | + | 0.332719i | ||||
\(607\) | −5.76259 | − | 5.45861i | −0.233896 | − | 0.221558i | 0.561770 | − | 0.827293i | \(-0.310121\pi\) |
−0.795666 | + | 0.605735i | \(0.792879\pi\) | |||||||
\(608\) | 2.42886 | + | 0.264154i | 0.0985032 | + | 0.0107129i | ||||
\(609\) | −1.45035 | − | 2.63138i | −0.0587712 | − | 0.106629i | ||||
\(610\) | −3.36715 | − | 20.5387i | −0.136332 | − | 0.831589i | ||||
\(611\) | 18.9553 | − | 12.8520i | 0.766849 | − | 0.519937i | ||||
\(612\) | −1.45093 | + | 3.42404i | −0.0586503 | + | 0.138409i | ||||
\(613\) | 3.91043 | + | 35.9558i | 0.157941 | + | 1.45224i | 0.757984 | + | 0.652273i | \(0.226185\pi\) |
−0.600043 | + | 0.799968i | \(0.704850\pi\) | |||||||
\(614\) | −15.8198 | − | 29.8393i | −0.638434 | − | 1.20421i | ||||
\(615\) | 15.7439 | − | 35.5346i | 0.634856 | − | 1.43289i | ||||
\(616\) | −21.1926 | + | 12.7512i | −0.853873 | + | 0.513759i | ||||
\(617\) | −23.6882 | − | 12.5587i | −0.953653 | − | 0.505595i | −0.0824915 | − | 0.996592i | \(-0.526288\pi\) |
−0.871161 | + | 0.490997i | \(0.836633\pi\) | |||||||
\(618\) | −1.58151 | + | 6.07771i | −0.0636178 | + | 0.244481i | ||||
\(619\) | 13.1277 | + | 2.88963i | 0.527647 | + | 0.116144i | 0.470802 | − | 0.882239i | \(-0.343965\pi\) |
0.0568453 | + | 0.998383i | \(0.481896\pi\) | |||||||
\(620\) | −2.90619 | − | 0.639700i | −0.116715 | − | 0.0256910i | ||||
\(621\) | −21.4183 | − | 0.115538i | −0.859486 | − | 0.00463639i | ||||
\(622\) | 5.89240 | + | 3.12395i | 0.236264 | + | 0.125259i | ||||
\(623\) | −21.7519 | + | 13.0877i | −0.871470 | + | 0.524346i | ||||
\(624\) | −6.73320 | − | 2.98320i | −0.269544 | − | 0.119423i | ||||
\(625\) | 2.56650 | + | 4.84094i | 0.102660 | + | 0.193638i | ||||
\(626\) | −0.620737 | − | 5.70758i | −0.0248096 | − | 0.228121i | ||||
\(627\) | −12.1958 | + | 21.0362i | −0.487052 | + | 0.840107i | ||||
\(628\) | 10.0642 | − | 6.82367i | 0.401603 | − | 0.272294i | ||||
\(629\) | −2.02614 | − | 12.3589i | −0.0807876 | − | 0.492783i | ||||
\(630\) | −38.4692 | + | 27.9504i | −1.53265 | + | 1.11357i | ||||
\(631\) | −41.2030 | − | 4.48109i | −1.64026 | − | 0.178390i | −0.759026 | − | 0.651061i | \(-0.774324\pi\) |
−0.881239 | + | 0.472671i | \(0.843290\pi\) | |||||||
\(632\) | 0.591961 | + | 0.560735i | 0.0235469 | + | 0.0223048i | ||||
\(633\) | −10.6776 | + | 16.3131i | −0.424397 | + | 0.648386i | ||||
\(634\) | −11.1766 | + | 24.1579i | −0.443881 | + | 0.959432i | ||||
\(635\) | 24.7149 | + | 16.7571i | 0.980782 | + | 0.664987i | ||||
\(636\) | 5.87998 | − | 2.83731i | 0.233156 | − | 0.112507i | ||||
\(637\) | −47.2247 | + | 13.1119i | −1.87111 | + | 0.519512i | ||||
\(638\) | −1.76500 | + | 1.49921i | −0.0698772 | + | 0.0593542i | ||||
\(639\) | 19.1055 | − | 3.77372i | 0.755801 | − | 0.149286i | ||||
\(640\) | 1.17581 | − | 3.48969i | 0.0464781 | − | 0.137942i | ||||
\(641\) | −1.44240 | − | 1.89744i | −0.0569712 | − | 0.0749444i | 0.766725 | − | 0.641976i | \(-0.221885\pi\) |
−0.823696 | + | 0.567031i | \(0.808092\pi\) | |||||||
\(642\) | 14.1537 | − | 17.2228i | 0.558603 | − | 0.679732i | ||||
\(643\) | −1.65608 | − | 30.5446i | −0.0653093 | − | 1.20456i | −0.829102 | − | 0.559098i | \(-0.811148\pi\) |
0.763792 | − | 0.645462i | \(-0.223335\pi\) | |||||||
\(644\) | 4.74658 | − | 17.0956i | 0.187041 | − | 0.673663i | ||||
\(645\) | 13.5106 | + | 21.6501i | 0.531978 | + | 0.852470i | ||||
\(646\) | −2.98865 | − | 0.489964i | −0.117587 | − | 0.0192774i | ||||
\(647\) | −3.65047 | − | 16.5843i | −0.143515 | − | 0.651995i | −0.992362 | − | 0.123357i | \(-0.960634\pi\) |
0.848847 | − | 0.528638i | \(-0.177297\pi\) | |||||||
\(648\) | −7.90535 | + | 4.30180i | −0.310551 | + | 0.168991i | ||||
\(649\) | −34.9403 | + | 26.9670i | −1.37153 | + | 1.05855i | ||||
\(650\) | 36.3980i | 1.42765i | ||||||||
\(651\) | −5.67714 | + | 2.01620i | −0.222504 | + | 0.0790210i | ||||
\(652\) | 0.886005 | − | 5.40439i | 0.0346986 | − | 0.211652i | ||||
\(653\) | 16.9734 | + | 36.6875i | 0.664222 | + | 1.43569i | 0.887440 | + | 0.460924i | \(0.152482\pi\) |
−0.223218 | + | 0.974769i | \(0.571656\pi\) | |||||||
\(654\) | −2.03470 | + | 13.8142i | −0.0795630 | + | 0.540177i | ||||
\(655\) | 78.3364 | − | 4.24727i | 3.06085 | − | 0.165955i | ||||
\(656\) | 4.19057 | + | 4.42393i | 0.163614 | + | 0.172725i | ||||
\(657\) | 17.9624 | + | 14.2787i | 0.700779 | + | 0.557063i | ||||
\(658\) | 21.9702 | + | 7.40262i | 0.856487 | + | 0.288584i | ||||
\(659\) | 0.424590 | − | 7.83111i | 0.0165397 | − | 0.305057i | −0.978545 | − | 0.206032i | \(-0.933945\pi\) |
0.995085 | − | 0.0990248i | \(-0.0315723\pi\) | |||||||
\(660\) | 27.0138 | + | 24.7682i | 1.05151 | + | 0.964099i | ||||
\(661\) | −3.74853 | − | 13.5010i | −0.145801 | − | 0.525127i | −0.999987 | − | 0.00515919i | \(-0.998358\pi\) |
0.854186 | − | 0.519968i | \(-0.174056\pi\) | |||||||
\(662\) | −31.6347 | + | 10.6590i | −1.22952 | + | 0.414273i | ||||
\(663\) | 8.13397 | + | 4.14439i | 0.315897 | + | 0.160955i | ||||
\(664\) | −2.36500 | − | 1.09417i | −0.0917798 | − | 0.0424619i | ||||
\(665\) | −29.5149 | − | 25.0702i | −1.14454 | − | 0.972181i | ||||
\(666\) | 14.7738 | − | 26.4654i | 0.572472 | − | 1.02551i | ||||
\(667\) | 0.179612 | − | 1.65151i | 0.00695462 | − | 0.0639467i | ||||
\(668\) | −18.2008 | + | 7.25186i | −0.704210 | + | 0.280583i | ||||
\(669\) | −15.6605 | + | 4.62362i | −0.605472 | + | 0.178759i | ||||
\(670\) | −31.3416 | − | 46.2255i | −1.21083 | − | 1.78585i | ||||
\(671\) | −19.6539 | + | 25.8543i | −0.758731 | + | 0.998094i | ||||
\(672\) | −1.72081 | − | 7.25394i | −0.0663817 | − | 0.279827i | ||||
\(673\) | −0.429154 | + | 0.227523i | −0.0165427 | + | 0.00877037i | −0.476659 | − | 0.879088i | \(-0.658152\pi\) |
0.460117 | + | 0.887859i | \(0.347808\pi\) | |||||||
\(674\) | −0.639354 | + | 1.06262i | −0.0246270 | + | 0.0409304i | ||||
\(675\) | 35.2657 | + | 27.1097i | 1.35738 | + | 1.04345i | ||||
\(676\) | −2.37880 | + | 4.48689i | −0.0914923 | + | 0.172573i | ||||
\(677\) | 27.5595 | + | 10.9807i | 1.05920 | + | 0.422023i | 0.833699 | − | 0.552220i | \(-0.186219\pi\) |
0.225500 | + | 0.974243i | \(0.427598\pi\) | |||||||
\(678\) | −1.17710 | + | 12.7481i | −0.0452062 | + | 0.489589i | ||||
\(679\) | 6.70677 | − | 30.4692i | 0.257382 | − | 1.16930i | ||||
\(680\) | −1.68958 | + | 4.24053i | −0.0647926 | + | 0.162617i | ||||
\(681\) | 17.3627 | + | 6.59293i | 0.665339 | + | 0.252641i | ||||
\(682\) | 2.39391 | + | 3.97871i | 0.0916675 | + | 0.152353i | ||||
\(683\) | −2.64452 | − | 1.59116i | −0.101190 | − | 0.0608839i | 0.464059 | − | 0.885804i | \(-0.346392\pi\) |
−0.565249 | + | 0.824920i | \(0.691220\pi\) | |||||||
\(684\) | −4.92414 | − | 5.42909i | −0.188279 | − | 0.207586i | ||||
\(685\) | −34.2168 | + | 3.72130i | −1.30736 | + | 0.142183i | ||||
\(686\) | −15.5121 | − | 11.7920i | −0.592256 | − | 0.450221i | ||||
\(687\) | −14.4131 | − | 16.4198i | −0.549894 | − | 0.626454i | ||||
\(688\) | −3.94839 | + | 0.647306i | −0.150531 | + | 0.0246783i | ||||
\(689\) | −5.93217 | − | 14.8886i | −0.225998 | − | 0.567212i | ||||
\(690\) | −26.2875 | + | 0.427395i | −1.00075 | + | 0.0162706i | ||||
\(691\) | 26.1648 | − | 27.6218i | 0.995356 | − | 1.05078i | −0.00335367 | − | 0.999994i | \(-0.501068\pi\) |
0.998709 | − | 0.0507899i | \(-0.0161739\pi\) | |||||||
\(692\) | 4.26506 | − | 5.02121i | 0.162133 | − | 0.190878i | ||||
\(693\) | 72.9443 | + | 13.5864i | 2.77092 | + | 0.516106i | ||||
\(694\) | 4.20130 | − | 6.19645i | 0.159479 | − | 0.235214i | ||||
\(695\) | 6.85520 | + | 20.3455i | 0.260033 | + | 0.771749i | ||||
\(696\) | −0.268882 | − | 0.644185i | −0.0101919 | − | 0.0244178i | ||||
\(697\) | −4.89008 | − | 5.75705i | −0.185225 | − | 0.218064i | ||||
\(698\) | 10.8886 | + | 0.590361i | 0.412139 | + | 0.0223455i | ||||
\(699\) | 6.59353 | − | 32.4594i | 0.249390 | − | 1.22773i | ||||
\(700\) | −29.3334 | + | 22.2987i | −1.10870 | + | 0.842812i | ||||
\(701\) | −4.17281 | + | 3.95270i | −0.157605 | + | 0.149291i | −0.762439 | − | 0.647060i | \(-0.775998\pi\) |
0.604834 | + | 0.796352i | \(0.293240\pi\) | |||||||
\(702\) | 9.16848 | + | 20.1012i | 0.346042 | + | 0.758670i | ||||
\(703\) | 23.7843 | + | 6.60369i | 0.897043 | + | 0.249063i | ||||
\(704\) | −5.21502 | + | 2.41273i | −0.196549 | + | 0.0909330i | ||||
\(705\) | 1.30200 | − | 34.3296i | 0.0490362 | − | 1.29293i | ||||
\(706\) | −21.4970 | + | 4.73186i | −0.809052 | + | 0.178086i | ||||
\(707\) | 37.1660 | 1.39777 | ||||||||
\(708\) | −4.54413 | − | 12.5040i | −0.170779 | − | 0.469930i | ||||
\(709\) | −8.85977 | −0.332736 | −0.166368 | − | 0.986064i | \(-0.553204\pi\) | ||||
−0.166368 | + | 0.986064i | \(0.553204\pi\) | |||||||
\(710\) | 23.3459 | − | 5.13882i | 0.876155 | − | 0.192856i | ||||
\(711\) | −0.211764 | − | 2.43695i | −0.00794177 | − | 0.0913928i | ||||
\(712\) | −5.35265 | + | 2.47640i | −0.200599 | + | 0.0928070i | ||||
\(713\) | −3.20955 | − | 0.891126i | −0.120198 | − | 0.0333729i | ||||
\(714\) | 1.64316 | + | 9.09422i | 0.0614937 | + | 0.340343i | ||||
\(715\) | 65.3169 | − | 61.8714i | 2.44271 | − | 2.31386i | ||||
\(716\) | −5.53193 | + | 4.20526i | −0.206738 | + | 0.157158i | ||||
\(717\) | 26.7021 | + | 5.42403i | 0.997208 | + | 0.202564i | ||||
\(718\) | 22.9411 | + | 1.24383i | 0.856154 | + | 0.0464193i | ||||
\(719\) | −2.02729 | − | 2.38671i | −0.0756052 | − | 0.0890093i | 0.723059 | − | 0.690786i | \(-0.242735\pi\) |
−0.798664 | + | 0.601777i | \(0.794460\pi\) | |||||||
\(720\) | −9.58710 | + | 5.48924i | −0.357290 | + | 0.204572i | ||||
\(721\) | 4.98321 | + | 14.7896i | 0.185584 | + | 0.550795i | ||||
\(722\) | −7.31276 | + | 10.7855i | −0.272153 | + | 0.401395i | ||||
\(723\) | −10.4498 | + | 32.7649i | −0.388633 | + | 1.21854i | ||||
\(724\) | −3.62185 | + | 4.26397i | −0.134605 | + | 0.158469i | ||||
\(725\) | −2.37258 | + | 2.50470i | −0.0881154 | + | 0.0930223i | ||||
\(726\) | −0.619947 | − | 38.1307i | −0.0230084 | − | 1.41516i | ||||
\(727\) | 10.1412 | + | 25.4524i | 0.376116 | + | 0.943979i | 0.988198 | + | 0.153185i | \(0.0489529\pi\) |
−0.612082 | + | 0.790794i | \(0.709668\pi\) | |||||||
\(728\) | −18.0602 | + | 2.96083i | −0.669357 | + | 0.109736i | ||||
\(729\) | 26.3046 | + | 6.08834i | 0.974245 | + | 0.225494i | ||||
\(730\) | 22.4228 | + | 17.0454i | 0.829905 | + | 0.630878i | ||||
\(731\) | 4.93066 | − | 0.536241i | 0.182367 | − | 0.0198336i | ||||
\(732\) | −5.62468 | − | 8.01220i | −0.207894 | − | 0.296139i | ||||
\(733\) | 30.5293 | + | 18.3689i | 1.12762 | + | 0.678469i | 0.952034 | − | 0.305994i | \(-0.0989887\pi\) |
0.175591 | + | 0.984463i | \(0.443816\pi\) | |||||||
\(734\) | −0.320500 | − | 0.532675i | −0.0118299 | − | 0.0196614i | ||||
\(735\) | −26.0991 | + | 68.7328i | −0.962679 | + | 2.53525i | ||||
\(736\) | 1.52571 | − | 3.82925i | 0.0562385 | − | 0.141148i | ||||
\(737\) | −18.7339 | + | 85.1091i | −0.690073 | + | 3.13503i | ||||
\(738\) | −0.594278 | − | 18.2711i | −0.0218757 | − | 0.672570i | ||||
\(739\) | 21.6039 | + | 8.60777i | 0.794712 | + | 0.316642i | 0.731925 | − | 0.681385i | \(-0.238622\pi\) |
0.0627864 | + | 0.998027i | \(0.480001\pi\) | |||||||
\(740\) | 17.4270 | − | 32.8709i | 0.640630 | − | 1.20836i | ||||
\(741\) | −14.1450 | + | 11.1201i | −0.519629 | + | 0.408509i | ||||
\(742\) | 8.36460 | − | 13.9021i | 0.307074 | − | 0.510361i | ||||
\(743\) | 13.8330 | − | 7.33381i | 0.507485 | − | 0.269051i | −0.194933 | − | 0.980817i | \(-0.562449\pi\) |
0.702418 | + | 0.711765i | \(0.252104\pi\) | |||||||
\(744\) | −1.36186 | + | 0.323066i | −0.0499282 | + | 0.0118442i | ||||
\(745\) | 12.3514 | − | 16.2481i | 0.452522 | − | 0.595283i | ||||
\(746\) | −9.85728 | − | 14.5384i | −0.360901 | − | 0.532289i | ||||
\(747\) | 3.12812 | + | 7.16440i | 0.114452 | + | 0.262132i | ||||
\(748\) | 6.61693 | − | 2.63643i | 0.241939 | − | 0.0963973i | ||||
\(749\) | 5.98966 | − | 55.0740i | 0.218857 | − | 2.01236i | ||||
\(750\) | 18.2998 | + | 13.4474i | 0.668213 | + | 0.491029i | ||||
\(751\) | 18.4715 | + | 15.6898i | 0.674033 | + | 0.572529i | 0.917673 | − | 0.397337i | \(-0.130066\pi\) |
−0.243640 | + | 0.969866i | \(0.578342\pi\) | |||||||
\(752\) | 4.88838 | + | 2.26161i | 0.178261 | + | 0.0824723i | ||||
\(753\) | −8.85153 | + | 17.3724i | −0.322568 | + | 0.633086i | ||||
\(754\) | −1.62389 | + | 0.547151i | −0.0591384 | + | 0.0199261i | ||||
\(755\) | 11.0433 | + | 39.7743i | 0.401906 | + | 1.44754i | ||||
\(756\) | −10.5828 | + | 19.7036i | −0.384891 | + | 0.716614i | ||||
\(757\) | 2.18534 | − | 40.3062i | 0.0794274 | − | 1.46495i | −0.638923 | − | 0.769271i | \(-0.720620\pi\) |
0.718350 | − | 0.695682i | \(-0.244898\pi\) | |||||||
\(758\) | 4.35230 | + | 1.46646i | 0.158083 | + | 0.0532642i | ||||
\(759\) | 28.6930 | + | 29.3210i | 1.04149 | + | 1.06429i | ||||
\(760\) | −6.18716 | − | 6.53171i | −0.224432 | − | 0.236930i | ||||
\(761\) | 31.9729 | − | 1.73352i | 1.15902 | − | 0.0628400i | 0.535420 | − | 0.844586i | \(-0.320153\pi\) |
0.623597 | + | 0.781746i | \(0.285671\pi\) | |||||||
\(762\) | 13.8949 | + | 2.04659i | 0.503359 | + | 0.0741400i | ||||
\(763\) | 14.5701 | + | 31.4927i | 0.527472 | + | 1.14011i | ||||
\(764\) | 4.15339 | − | 25.3346i | 0.150265 | − | 0.916573i | ||||
\(765\) | 12.2350 | − | 6.15104i | 0.442359 | − | 0.222391i | ||||
\(766\) | 8.38967i | 0.303131i | ||||||||
\(767\) | −31.4040 | + | 8.96755i | −1.13393 | + | 0.323799i | ||||
\(768\) | −0.215235 | − | 1.71863i | −0.00776661 | − | 0.0620156i | ||||
\(769\) | 2.19109 | + | 9.95421i | 0.0790127 | + | 0.358958i | 0.999493 | − | 0.0318301i | \(-0.0101335\pi\) |
−0.920481 | + | 0.390788i | \(0.872203\pi\) | |||||||
\(770\) | 89.8780 | + | 14.7348i | 3.23898 | + | 0.531004i | ||||
\(771\) | −29.8813 | + | 18.6472i | −1.07615 | + | 0.671562i | ||||
\(772\) | 6.79023 | − | 24.4562i | 0.244386 | − | 0.880198i | ||||
\(773\) | −0.204601 | − | 3.77365i | −0.00735900 | − | 0.135729i | −0.999904 | − | 0.0138506i | \(-0.995591\pi\) |
0.992545 | − | 0.121878i | \(-0.0388917\pi\) | |||||||
\(774\) | 10.1487 | + | 6.40957i | 0.364789 | + | 0.230387i | ||||
\(775\) | 4.18637 | + | 5.50708i | 0.150379 | + | 0.197820i | ||||
\(776\) | 2.31437 | − | 6.86882i | 0.0830812 | − | 0.246576i | ||||
\(777\) | −5.30000 | − | 75.1357i | −0.190136 | − | 2.69548i | ||||
\(778\) | −8.89923 | + | 7.55908i | −0.319053 | + | 0.271006i | ||||
\(779\) | 14.3451 | − | 3.98290i | 0.513967 | − | 0.142702i | ||||
\(780\) | 11.7857 | + | 24.4245i | 0.421996 | + | 0.874536i | ||||
\(781\) | −30.8736 | − | 20.9328i | −1.10475 | − | 0.749036i | ||||
\(782\) | −2.14547 | + | 4.63735i | −0.0767218 | + | 0.165831i | ||||
\(783\) | −0.679359 | + | 1.98089i | −0.0242783 | + | 0.0707912i | ||||
\(784\) | −8.36851 | − | 7.92708i | −0.298875 | − | 0.283110i | ||||
\(785\) | −44.5137 | − | 4.84116i | −1.58876 | − | 0.172788i | ||||
\(786\) | 32.3161 | − | 17.8119i | 1.15268 | − | 0.635329i | ||||
\(787\) | 3.45494 | + | 21.0742i | 0.123155 | + | 0.751215i | 0.974127 | + | 0.226003i | \(0.0725658\pi\) |
−0.850971 | + | 0.525212i | \(0.823986\pi\) | |||||||
\(788\) | −7.41192 | + | 5.02540i | −0.264039 | + | 0.179023i | ||||
\(789\) | −4.66776 | − | 2.70614i | −0.166177 | − | 0.0963410i | ||||
\(790\) | −0.324637 | − | 2.98499i | −0.0115501 | − | 0.106201i | ||||
\(791\) | 14.9024 | + | 28.1089i | 0.529869 | + | 0.999438i | ||||
\(792\) | 16.5062 | + | 4.97026i | 0.586524 | + | 0.176610i | ||||
\(793\) | −20.5913 | + | 12.3894i | −0.731220 | + | 0.439960i | ||||
\(794\) | −8.80418 | − | 4.66768i | −0.312449 | − | 0.165650i | ||||
\(795\) | −23.2670 | − | 6.05443i | −0.825195 | − | 0.214728i | ||||
\(796\) | −10.4863 | − | 2.30820i | −0.371676 | − | 0.0818121i | ||||
\(797\) | 42.7740 | + | 9.41527i | 1.51513 | + | 0.333506i | 0.893234 | − | 0.449592i | \(-0.148430\pi\) |
0.621899 | + | 0.783098i | \(0.286361\pi\) | |||||||
\(798\) | −17.6275 | − | 4.58695i | −0.624007 | − | 0.162376i | ||||
\(799\) | −5.89893 | − | 3.12742i | −0.208689 | − | 0.110640i | ||||
\(800\) | −7.33509 | + | 4.41338i | −0.259335 | + | 0.156037i | ||||
\(801\) | 16.9418 | + | 5.10142i | 0.598611 | + | 0.180250i | ||||
\(802\) | 13.3250 | + | 25.1336i | 0.470521 | + | 0.887497i | ||||
\(803\) | −4.75187 | − | 43.6927i | −0.167690 | − | 1.54188i | ||||
\(804\) | −22.7256 | − | 13.1752i | −0.801472 | − | 0.464653i | ||||
\(805\) | −54.0774 | + | 36.6654i | −1.90598 | + | 1.29228i | ||||
\(806\) | 0.555868 | + | 3.39064i | 0.0195796 | + | 0.119430i | ||||
\(807\) | −0.664555 | + | 0.366287i | −0.0233934 | + | 0.0128939i | ||||
\(808\) | 8.58402 | + | 0.933569i | 0.301985 | + | 0.0328428i | ||||
\(809\) | 23.3674 | + | 22.1347i | 0.821553 | + | 0.778216i | 0.977809 | − | 0.209501i | \(-0.0671838\pi\) |
−0.156256 | + | 0.987717i | \(0.549942\pi\) | |||||||
\(810\) | 32.4427 | + | 6.77256i | 1.13992 | + | 0.237963i | ||||
\(811\) | 3.36236 | − | 7.26763i | 0.118069 | − | 0.255201i | −0.839526 | − | 0.543319i | \(-0.817167\pi\) |
0.957595 | + | 0.288118i | \(0.0930295\pi\) | |||||||
\(812\) | −1.43580 | − | 0.973497i | −0.0503867 | − | 0.0341630i | ||||
\(813\) | −1.79589 | − | 3.72176i | −0.0629846 | − | 0.130528i | ||||
\(814\) | −55.9383 | + | 15.5312i | −1.96064 | + | 0.544368i | ||||
\(815\) | −15.3706 | + | 13.0559i | −0.538408 | + | 0.457328i | ||||
\(816\) | 0.151074 | + | 2.14171i | 0.00528866 | + | 0.0749750i | ||||
\(817\) | −3.12130 | + | 9.26370i | −0.109201 | + | 0.324096i | ||||
\(818\) | 17.9313 | + | 23.5882i | 0.626954 | + | 0.824743i | ||||
\(819\) | 46.4211 | + | 29.3178i | 1.62208 | + | 1.02445i | ||||
\(820\) | −1.21484 | − | 22.4065i | −0.0424242 | − | 0.782469i | ||||
\(821\) | −7.83146 | + | 28.2064i | −0.273320 | + | 0.984409i | 0.691690 | + | 0.722195i | \(0.256867\pi\) |
−0.965010 | + | 0.262214i | \(0.915547\pi\) | |||||||
\(822\) | −13.7340 | + | 8.57062i | −0.479029 | + | 0.298935i | ||||
\(823\) | −47.8465 | − | 7.84403i | −1.66782 | − | 0.273426i | −0.747408 | − | 0.664366i | \(-0.768702\pi\) |
−0.920416 | + | 0.390940i | \(0.872150\pi\) | |||||||
\(824\) | 0.779444 | + | 3.54105i | 0.0271532 | + | 0.123358i | ||||
\(825\) | −10.5872 | − | 84.5380i | −0.368600 | − | 2.94324i | ||||
\(826\) | −26.4662 | − | 19.8149i | −0.920877 | − | 0.689448i | ||||
\(827\) | − | 38.1599i | − | 1.32695i | −0.748198 | − | 0.663475i | \(-0.769081\pi\) | ||
0.748198 | − | 0.663475i | \(-0.230919\pi\) | |||||||
\(828\) | −11.0484 | + | 5.55446i | −0.383958 | + | 0.193031i | ||||
\(829\) | 1.90378 | − | 11.6125i | 0.0661208 | − | 0.403319i | −0.932942 | − | 0.360028i | \(-0.882767\pi\) |
0.999062 | − | 0.0432917i | \(-0.0137845\pi\) | |||||||
\(830\) | 4.02921 | + | 8.70900i | 0.139856 | + | 0.302294i | ||||
\(831\) | −35.8184 | − | 5.27572i | −1.24253 | − | 0.183013i | ||||
\(832\) | −4.24564 | + | 0.230192i | −0.147191 | + | 0.00798047i | ||||
\(833\) | 9.82633 | + | 10.3735i | 0.340462 | + | 0.359422i | ||||
\(834\) | 7.06277 | + | 7.21736i | 0.244564 | + | 0.249917i | ||||
\(835\) | 68.3710 | + | 23.0369i | 2.36608 | + | 0.797224i | ||||
\(836\) | −0.760043 | + | 14.0182i | −0.0262866 | + | 0.484829i | ||||
\(837\) | 3.69917 | + | 1.98681i | 0.127862 | + | 0.0686743i | ||||
\(838\) | 3.33173 | + | 11.9998i | 0.115093 | + | 0.414526i | ||||
\(839\) | 19.4794 | − | 6.56338i | 0.672505 | − | 0.226593i | 0.0377270 | − | 0.999288i | \(-0.487988\pi\) |
0.634778 | + | 0.772695i | \(0.281092\pi\) | |||||||
\(840\) | −12.4635 | + | 24.4615i | −0.430032 | + | 0.844001i | ||||
\(841\) | 26.1723 | + | 12.1086i | 0.902492 | + | 0.417537i | ||||
\(842\) | −2.70535 | − | 2.29795i | −0.0932326 | − | 0.0791925i | ||||
\(843\) | −31.5180 | − | 23.1607i | −1.08554 | − | 0.797696i | ||||
\(844\) | −1.21704 | + | 11.1905i | −0.0418924 | + | 0.385194i | ||||
\(845\) | 17.3730 | − | 6.92204i | 0.597650 | − | 0.238125i | ||||
\(846\) | −6.46574 | − | 14.8086i | −0.222297 | − | 0.509130i | ||||
\(847\) | −53.1841 | − | 78.4406i | −1.82743 | − | 2.69525i | ||||
\(848\) | 2.28113 | − | 3.00077i | 0.0783342 | − | 0.103047i | ||||
\(849\) | −36.9654 | + | 8.76909i | −1.26865 | + | 0.300954i | ||||
\(850\) | 9.37536 | − | 4.97050i | 0.321572 | − | 0.170487i | ||||
\(851\) | 21.4706 | − | 35.6844i | 0.736003 | − | 1.22325i | ||||
\(852\) | 8.83920 | − | 6.94898i | 0.302826 | − | 0.238068i | ||||
\(853\) | 3.47317 | − | 6.55110i | 0.118919 | − | 0.224305i | −0.816905 | − | 0.576772i | \(-0.804312\pi\) |
0.935824 | + | 0.352467i | \(0.114657\pi\) | |||||||
\(854\) | −22.5997 | − | 9.00453i | −0.773345 | − | 0.308129i | ||||
\(855\) | 0.877422 | + | 26.9764i | 0.0300072 | + | 0.922574i | ||||
\(856\) | 2.76679 | − | 12.5697i | 0.0945670 | − | 0.429622i | ||||
\(857\) | −4.92881 | + | 12.3704i | −0.168365 | + | 0.422564i | −0.988814 | − | 0.149156i | \(-0.952344\pi\) |
0.820449 | + | 0.571720i | \(0.193724\pi\) | |||||||
\(858\) | 15.0220 | − | 39.5609i | 0.512843 | − | 1.35059i | ||||
\(859\) | −6.09761 | − | 10.1343i | −0.208048 | − | 0.345778i | 0.735210 | − | 0.677839i | \(-0.237084\pi\) |
−0.943258 | + | 0.332061i | \(0.892256\pi\) | |||||||
\(860\) | 12.6248 | + | 7.59610i | 0.430503 | + | 0.259025i | ||||
\(861\) | −26.1023 | − | 37.1820i | −0.889563 | − | 1.26716i | ||||
\(862\) | −22.7364 | + | 2.47273i | −0.774404 | + | 0.0842215i | ||||
\(863\) | −20.8694 | − | 15.8645i | −0.710402 | − | 0.540033i | 0.186396 | − | 0.982475i | \(-0.440319\pi\) |
−0.896797 | + | 0.442442i | \(0.854112\pi\) | |||||||
\(864\) | −2.93917 | + | 4.28501i | −0.0999926 | + | 0.145779i | ||||
\(865\) | −23.9408 | + | 3.92490i | −0.814013 | + | 0.133451i | ||||
\(866\) | −12.2801 | − | 30.8207i | −0.417294 | − | 1.04733i | ||||
\(867\) | 0.435400 | + | 26.7799i | 0.0147869 | + | 0.909492i | ||||
\(868\) | −2.39200 | + | 2.52520i | −0.0811897 | + | 0.0857110i | ||||
\(869\) | −3.03316 | + | 3.57092i | −0.102893 | + | 0.121135i | ||||
\(870\) | −0.781066 | + | 2.44899i | −0.0264806 | + | 0.0830286i | ||||
\(871\) | −36.1881 | + | 53.3734i | −1.22619 | + | 1.80849i | ||||
\(872\) | 2.57410 | + | 7.63967i | 0.0871701 | + | 0.258712i | ||||
\(873\) | −18.8705 | + | 10.8046i | −0.638668 | + | 0.365679i | ||||
\(874\) | −6.51971 | − | 7.67559i | −0.220532 | − | 0.259631i | ||||
\(875\) | 56.3519 | + | 3.05531i | 1.90504 | + | 0.103288i | ||||
\(876\) | 12.9828 | + | 2.63722i | 0.438649 | + | 0.0891033i | ||||
\(877\) | −6.62962 | + | 5.03970i | −0.223866 | + | 0.170179i | −0.711096 | − | 0.703095i | \(-0.751801\pi\) |
0.487229 | + | 0.873274i | \(0.338008\pi\) | |||||||
\(878\) | 4.87363 | − | 4.61655i | 0.164477 | − | 0.155801i | ||||
\(879\) | 4.00052 | + | 22.1413i | 0.134934 | + | 0.746806i | ||||
\(880\) | 20.3885 | + | 5.66083i | 0.687296 | + | 0.190827i | ||||
\(881\) | −15.8173 | + | 7.31788i | −0.532900 | + | 0.246546i | −0.667836 | − | 0.744309i | \(-0.732779\pi\) |
0.134936 | + | 0.990854i | \(0.456917\pi\) | |||||||
\(882\) | 2.99370 | + | 34.4510i | 0.100803 | + | 1.16003i | ||||
\(883\) | 12.8833 | − | 2.83582i | 0.433557 | − | 0.0954330i | 0.00717053 | − | 0.999974i | \(-0.497718\pi\) |
0.426386 | + | 0.904541i | \(0.359786\pi\) | |||||||
\(884\) | 5.27059 | 0.177269 | ||||||||
\(885\) | −17.0556 | + | 45.9272i | −0.573316 | + | 1.54383i | ||||
\(886\) | 12.0003 | 0.403157 | ||||||||
\(887\) | −5.66526 | + | 1.24702i | −0.190221 | + | 0.0418708i | −0.309059 | − | 0.951043i | \(-0.600014\pi\) |
0.118838 | + | 0.992914i | \(0.462083\pi\) | |||||||
\(888\) | 0.663213 | − | 17.4868i | 0.0222560 | − | 0.586818i | ||||
\(889\) | 31.6767 | − | 14.6552i | 1.06240 | − | 0.491519i | ||||
\(890\) | 20.9266 | + | 5.81023i | 0.701460 | + | 0.194759i | ||||
\(891\) | −27.1416 | − | 44.0201i | −0.909278 | − | 1.47473i | ||||
\(892\) | −6.84429 | + | 6.48325i | −0.229164 | + | 0.217075i | ||||
\(893\) | 10.4762 | − | 7.96376i | 0.350571 | − | 0.266497i | ||||
\(894\) | 1.91099 | − | 9.40764i | 0.0639129 | − | 0.314639i | ||||
\(895\) | 25.5513 | + | 1.38535i | 0.854085 | + | 0.0463071i | ||||
\(896\) | −2.78654 | − | 3.28057i | −0.0930918 | − | 0.109596i | ||||
\(897\) | 11.6930 | + | 28.0140i | 0.390419 | + | 0.935361i | ||||
\(898\) | 2.65990 | + | 7.89431i | 0.0887621 | + | 0.263436i | ||||
\(899\) | −0.182765 | + | 0.269558i | −0.00609555 | + | 0.00899027i | ||||
\(900\) | 25.2472 | + | 4.70248i | 0.841573 | + | 0.156749i | ||||
\(901\) | −3.02490 | + | 3.56119i | −0.100774 | + | 0.118640i | ||||
\(902\) | −24.0794 | + | 25.4203i | −0.801757 | + | 0.846405i | ||||
\(903\) | 29.8253 | − | 0.484913i | 0.992524 | − | 0.0161369i | ||||
\(904\) | 2.73586 | + | 6.86649i | 0.0909933 | + | 0.228376i | ||||
\(905\) | 20.3304 | − | 3.33299i | 0.675804 | − | 0.110792i | ||||
\(906\) | 12.8083 | + | 14.5916i | 0.425528 | + | 0.484773i | ||||
\(907\) | 10.9460 | + | 8.32096i | 0.363457 | + | 0.276293i | 0.770924 | − | 0.636927i | \(-0.219795\pi\) |
−0.407467 | + | 0.913220i | \(0.633588\pi\) | |||||||
\(908\) | 10.6599 | − | 1.15933i | 0.353760 | − | 0.0384737i | ||||
\(909\) | −17.4028 | − | 19.1874i | −0.577214 | − | 0.636405i | ||||
\(910\) | 57.7469 | + | 34.7451i | 1.91429 | + | 1.15179i | ||||
\(911\) | 15.9700 | + | 26.5423i | 0.529109 | + | 0.879385i | 0.999996 | − | 0.00280802i | \(-0.000893823\pi\) |
−0.470888 | + | 0.882193i | \(0.656066\pi\) | |||||||
\(912\) | −3.95610 | − | 1.50220i | −0.131000 | − | 0.0497430i | ||||
\(913\) | 5.54225 | − | 13.9100i | 0.183422 | − | 0.460353i | ||||
\(914\) | −5.05373 | + | 22.9593i | −0.167162 | + | 0.759427i | ||||
\(915\) | −3.31448 | + | 35.8963i | −0.109573 | + | 1.18670i | ||||
\(916\) | −11.7182 | − | 4.66896i | −0.387181 | − | 0.154267i | ||||
\(917\) | 42.9527 | − | 81.0173i | 1.41842 | − | 2.67543i | ||||
\(918\) | 3.92559 | − | 5.10662i | 0.129564 | − | 0.168543i | ||||
\(919\) | 4.17300 | − | 6.93557i | 0.137654 | − | 0.228783i | −0.780360 | − | 0.625331i | \(-0.784964\pi\) |
0.918014 | + | 0.396547i | \(0.129792\pi\) | |||||||
\(920\) | −13.4109 | + | 7.11002i | −0.442145 | + | 0.234411i | ||||
\(921\) | 13.5023 | + | 56.9177i | 0.444915 | + | 1.87550i | ||||
\(922\) | 3.92319 | − | 5.16087i | 0.129203 | − | 0.169964i | ||||
\(923\) | −15.4894 | − | 22.8452i | −0.509841 | − | 0.751959i | ||||
\(924\) | 41.0854 | − | 12.1301i | 1.35161 | − | 0.399050i | ||||
\(925\) | −80.3458 | + | 32.0127i | −2.64176 | + | 1.05257i | ||||
\(926\) | 3.19208 | − | 29.3507i | 0.104898 | − | 0.964525i | ||||
\(927\) | 5.30196 | − | 9.49781i | 0.174139 | − | 0.311949i | ||||
\(928\) | −0.307165 | − | 0.260909i | −0.0100832 | − | 0.00856475i | ||||
\(929\) | 12.1900 | + | 5.63970i | 0.399941 | + | 0.185033i | 0.609541 | − | 0.792755i | \(-0.291354\pi\) |
−0.209599 | + | 0.977787i | \(0.567216\pi\) | |||||||
\(930\) | 4.59241 | + | 2.33991i | 0.150591 | + | 0.0767286i | ||||
\(931\) | −26.6882 | + | 8.99230i | −0.874670 | + | 0.294711i | ||||
\(932\) | −5.11600 | − | 18.4262i | −0.167580 | − | 0.603569i | ||||
\(933\) | −8.51441 | − | 7.80662i | −0.278749 | − | 0.255577i | ||||
\(934\) | 1.01810 | − | 18.7778i | 0.0333133 | − | 0.614428i | ||||
\(935\) | −24.8564 | − | 8.37510i | −0.812892 | − | 0.273895i | ||||
\(936\) | 9.98517 | + | 7.93742i | 0.326376 | + | 0.259443i | ||||
\(937\) | −14.6054 | − | 15.4188i | −0.477139 | − | 0.503709i | 0.442341 | − | 0.896847i | \(-0.354148\pi\) |
−0.919480 | + | 0.393138i | \(0.871389\pi\) | |||||||
\(938\) | −65.1841 | + | 3.53418i | −2.12833 | + | 0.115395i | ||||
\(939\) | −1.44904 | + | 9.83798i | −0.0472877 | + | 0.321050i | ||||
\(940\) | −8.32826 | − | 18.0012i | −0.271638 | − | 0.587136i | ||||
\(941\) | −1.80832 | + | 11.0303i | −0.0589495 | + | 0.359576i | 0.940836 | + | 0.338863i | \(0.110042\pi\) |
−0.999785 | + | 0.0207138i | \(0.993406\pi\) | |||||||
\(942\) | −19.8462 | + | 7.04824i | −0.646624 | + | 0.229644i | ||||
\(943\) | − | 25.1179i | − | 0.817951i | ||||||
\(944\) | −5.61502 | − | 5.24133i | −0.182753 | − | 0.170591i | ||||
\(945\) | 76.6747 | − | 30.0717i | 2.49423 | − | 0.978234i | ||||
\(946\) | −4.94233 | − | 22.4532i | −0.160689 | − | 0.730017i | ||||
\(947\) | −41.6025 | − | 6.82039i | −1.35190 | − | 0.221633i | −0.558081 | − | 0.829786i | \(-0.688462\pi\) |
−0.793820 | + | 0.608153i | \(0.791911\pi\) | |||||||
\(948\) | −0.747680 | − | 1.19812i | −0.0242835 | − | 0.0389132i | ||||
\(949\) | 8.70040 | − | 31.3360i | 0.282427 | − | 1.01721i | ||||
\(950\) | 1.13230 | + | 20.8841i | 0.0367367 | + | 0.677569i | ||||
\(951\) | 29.2718 | − | 35.6191i | 0.949204 | − | 1.15503i | ||||
\(952\) | 3.22895 | + | 4.24761i | 0.104651 | + | 0.137666i | ||||
\(953\) | 11.5370 | − | 34.2406i | 0.373720 | − | 1.10916i | −0.581572 | − | 0.813495i | \(-0.697562\pi\) |
0.955291 | − | 0.295666i | \(-0.0955415\pi\) | |||||||
\(954\) | −11.0938 | + | 2.19125i | −0.359174 | + | 0.0709443i | ||||
\(955\) | −72.0539 | + | 61.2031i | −2.33161 | + | 1.98049i | ||||
\(956\) | 15.1579 | − | 4.20857i | 0.490241 | − | 0.136115i | ||||
\(957\) | 3.61248 | − | 1.74316i | 0.116775 | − | 0.0563482i | ||||
\(958\) | 19.6651 | + | 13.3333i | 0.635351 | + | 0.430779i | ||||
\(959\) | −16.8924 | + | 36.5123i | −0.545484 | + | 1.17905i | ||||
\(960\) | −3.49307 | + | 5.33665i | −0.112738 | + | 0.172240i | ||||
\(961\) | −22.0318 | − | 20.8696i | −0.710702 | − | 0.673213i | ||||
\(962\) | −42.7060 | − | 4.64456i | −1.37690 | − | 0.149747i | ||||
\(963\) | −31.2372 | + | 22.6959i | −1.00660 | + | 0.731364i | ||||
\(964\) | 3.21228 | + | 19.5941i | 0.103461 | + | 0.631082i | ||||
\(965\) | −77.3605 | + | 52.4517i | −2.49032 | + | 1.68848i | ||||
\(966\) | −15.4132 | + | 26.5859i | −0.495910 | + | 0.855386i | ||||
\(967\) | −2.39699 | − | 22.0399i | −0.0770819 | − | 0.708756i | −0.967372 | − | 0.253362i | \(-0.918464\pi\) |
0.890290 | − | 0.455395i | \(-0.150502\pi\) | |||||||
\(968\) | −10.3133 | − | 19.4529i | −0.331481 | − | 0.625240i | ||||
\(969\) | 4.79595 | + | 2.12488i | 0.154068 | + | 0.0682611i | ||||
\(970\) | −22.8706 | + | 13.7608i | −0.734332 | + | 0.441833i | ||||
\(971\) | −23.1395 | − | 12.2678i | −0.742582 | − | 0.393692i | 0.0537477 | − | 0.998555i | \(-0.482883\pi\) |
−0.796330 | + | 0.604862i | \(0.793228\pi\) | |||||||
\(972\) | 15.1275 | − | 3.76265i | 0.485216 | − | 0.120687i | ||||
\(973\) | 24.5081 | + | 5.39464i | 0.785694 | + | 0.172944i | ||||
\(974\) | −32.8657 | − | 7.23428i | −1.05308 | − | 0.231801i | ||||
\(975\) | 15.8761 | − | 61.0115i | 0.508443 | − | 1.95393i | ||||
\(976\) | −4.99353 | − | 2.64740i | −0.159839 | − | 0.0847413i | ||||
\(977\) | −21.5186 | + | 12.9473i | −0.688442 | + | 0.414222i | −0.816345 | − | 0.577565i | \(-0.804003\pi\) |
0.127903 | + | 0.991787i | \(0.459175\pi\) | |||||||
\(978\) | −3.84244 | + | 8.67254i | −0.122868 | + | 0.277317i | ||||
\(979\) | −15.8739 | − | 29.9414i | −0.507333 | − | 0.956931i | ||||
\(980\) | 4.58938 | + | 42.1986i | 0.146602 | + | 1.34799i | ||||
\(981\) | 9.43610 | − | 22.2682i | 0.301272 | − | 0.710970i | ||||
\(982\) | 19.6593 | − | 13.3293i | 0.627354 | − | 0.425357i | ||||
\(983\) | −0.665377 | − | 4.05862i | −0.0212222 | − | 0.129450i | 0.974090 | − | 0.226159i | \(-0.0726168\pi\) |
−0.995313 | + | 0.0967087i | \(0.969168\pi\) | |||||||
\(984\) | −5.09472 | − | 9.24336i | −0.162414 | − | 0.294668i | ||||
\(985\) | 32.7829 | + | 3.56535i | 1.04455 | + | 0.113602i | ||||
\(986\) | 0.362692 | + | 0.343560i | 0.0115505 | + | 0.0109412i | ||||
\(987\) | −33.5982 | − | 21.9915i | −1.06944 | − | 0.699996i | ||||
\(988\) | −4.36185 | + | 9.42799i | −0.138769 | + | 0.299944i | ||||
\(989\) | 13.6507 | + | 9.25542i | 0.434068 | + | 0.294305i | ||||
\(990\) | −34.4779 | − | 53.3000i | −1.09578 | − | 1.69399i | ||||
\(991\) | 59.2882 | − | 16.4613i | 1.88335 | − | 0.522910i | 0.884995 | − | 0.465600i | \(-0.154161\pi\) |
0.998356 | − | 0.0573102i | \(-0.0182524\pi\) | |||||||
\(992\) | −0.615896 | + | 0.523147i | −0.0195547 | + | 0.0166099i | ||||
\(993\) | 57.6763 | − | 4.06843i | 1.83030 | − | 0.129108i | ||||
\(994\) | 8.92175 | − | 26.4788i | 0.282981 | − | 0.839857i | ||||
\(995\) | 23.9284 | + | 31.4772i | 0.758580 | + | 0.997895i | ||||
\(996\) | 3.48703 | + | 2.86564i | 0.110491 | + | 0.0908013i | ||||
\(997\) | 0.0497155 | + | 0.916948i | 0.00157450 | + | 0.0290400i | 0.999215 | − | 0.0396132i | \(-0.0126126\pi\) |
−0.997641 | + | 0.0686532i | \(0.978130\pi\) | |||||||
\(998\) | 11.1521 | − | 40.1662i | 0.353013 | − | 1.27144i | ||||
\(999\) | −36.3080 | + | 37.9181i | −1.14873 | + | 1.19967i |
(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 | 354.2.g.b.11.10 | yes | 280 | |
3.2 | odd | 2 | 354.2.g.a.11.2 | ✓ | 280 | ||
59.43 | odd | 58 | 354.2.g.a.161.2 | yes | 280 | ||
177.161 | even | 58 | inner | 354.2.g.b.161.10 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.g.a.11.2 | ✓ | 280 | 3.2 | odd | 2 | ||
354.2.g.a.161.2 | yes | 280 | 59.43 | odd | 58 | ||
354.2.g.b.11.10 | yes | 280 | 1.1 | even | 1 | trivial | |
354.2.g.b.161.10 | yes | 280 | 177.161 | even | 58 | inner |