Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(97,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.q (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2x^{11} - 4x^{10} + 6x^{8} + 44x^{7} + 56x^{6} + 32x^{5} + 92x^{4} - 16x^{3} + 36x^{2} - 24x + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 273.2 | ||
Root | \(-0.431120 + 1.60896i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.273 |
Dual form | 370.2.q.d.267.2 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | −1.08428 | − | 0.290531i | −0.626007 | − | 0.167738i | −0.0681497 | − | 0.997675i | \(-0.521710\pi\) |
−0.557857 | + | 0.829937i | \(0.688376\pi\) | |||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 1.94546 | − | 1.10235i | 0.870038 | − | 0.492985i | ||||
\(6\) | 0.793745 | − | 0.793745i | 0.324045 | − | 0.324045i | ||||
\(7\) | −1.13508 | − | 0.304145i | −0.429021 | − | 0.114956i | 0.0378454 | − | 0.999284i | \(-0.487951\pi\) |
−0.466867 | + | 0.884328i | \(0.654617\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −1.50683 | − | 0.869970i | −0.502277 | − | 0.289990i | ||||
\(10\) | −0.0180717 | + | 2.23599i | −0.00571477 | + | 0.707084i | ||||
\(11\) | 1.21792i | 0.367218i | 0.982999 | + | 0.183609i | \(0.0587780\pi\) | ||||
−0.982999 | + | 0.183609i | \(0.941222\pi\) | |||||||
\(12\) | 0.290531 | + | 1.08428i | 0.0838690 | + | 0.313003i | ||||
\(13\) | −1.27802 | − | 2.21360i | −0.354460 | − | 0.613942i | 0.632566 | − | 0.774507i | \(-0.282002\pi\) |
−0.987025 | + | 0.160564i | \(0.948669\pi\) | |||||||
\(14\) | 0.830939 | − | 0.830939i | 0.222078 | − | 0.222078i | ||||
\(15\) | −2.42968 | + | 0.630030i | −0.627342 | + | 0.162673i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −5.18413 | − | 2.99306i | −1.25734 | − | 0.725923i | −0.284780 | − | 0.958593i | \(-0.591921\pi\) |
−0.972556 | + | 0.232669i | \(0.925254\pi\) | |||||||
\(18\) | 1.50683 | − | 0.869970i | 0.355164 | − | 0.205054i | ||||
\(19\) | 1.48860 | − | 5.55553i | 0.341509 | − | 1.27453i | −0.555130 | − | 0.831764i | \(-0.687331\pi\) |
0.896638 | − | 0.442763i | \(-0.146002\pi\) | |||||||
\(20\) | −1.92739 | − | 1.13365i | −0.430978 | − | 0.253491i | ||||
\(21\) | 1.14238 | + | 0.659553i | 0.249288 | + | 0.143926i | ||||
\(22\) | −1.05475 | − | 0.608962i | −0.224874 | − | 0.129831i | ||||
\(23\) | −2.78142 | −0.579967 | −0.289983 | − | 0.957032i | \(-0.593650\pi\) | ||||
−0.289983 | + | 0.957032i | \(0.593650\pi\) | |||||||
\(24\) | −1.08428 | − | 0.290531i | −0.221327 | − | 0.0593043i | ||||
\(25\) | 2.56966 | − | 4.28915i | 0.513932 | − | 0.857831i | ||||
\(26\) | 2.55605 | 0.501282 | ||||||||
\(27\) | 3.76230 | + | 3.76230i | 0.724055 | + | 0.724055i | ||||
\(28\) | 0.304145 | + | 1.13508i | 0.0574780 | + | 0.214511i | ||||
\(29\) | 3.89093 | − | 3.89093i | 0.722527 | − | 0.722527i | −0.246592 | − | 0.969119i | \(-0.579311\pi\) |
0.969119 | + | 0.246592i | \(0.0793108\pi\) | |||||||
\(30\) | 0.669220 | − | 2.41918i | 0.122182 | − | 0.441680i | ||||
\(31\) | 1.69486 | + | 1.69486i | 0.304405 | + | 0.304405i | 0.842735 | − | 0.538329i | \(-0.180944\pi\) |
−0.538329 | + | 0.842735i | \(0.680944\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0.353844 | − | 1.32056i | 0.0615963 | − | 0.229881i | ||||
\(34\) | 5.18413 | − | 2.99306i | 0.889071 | − | 0.513305i | ||||
\(35\) | −2.54354 | + | 0.659553i | −0.429936 | + | 0.111485i | ||||
\(36\) | 1.73994i | 0.289990i | ||||||||
\(37\) | −2.24745 | − | 5.65234i | −0.369478 | − | 0.929240i | ||||
\(38\) | 4.06693 | + | 4.06693i | 0.659744 | + | 0.659744i | ||||
\(39\) | 0.742610 | + | 2.77146i | 0.118913 | + | 0.443788i | ||||
\(40\) | 1.94546 | − | 1.10235i | 0.307605 | − | 0.174296i | ||||
\(41\) | 8.25720 | − | 4.76730i | 1.28956 | − | 0.744527i | 0.310982 | − | 0.950416i | \(-0.399342\pi\) |
0.978575 | + | 0.205889i | \(0.0660086\pi\) | |||||||
\(42\) | −1.14238 | + | 0.659553i | −0.176273 | + | 0.101771i | ||||
\(43\) | −5.25996 | −0.802136 | −0.401068 | − | 0.916048i | \(-0.631361\pi\) | ||||
−0.401068 | + | 0.916048i | \(0.631361\pi\) | |||||||
\(44\) | 1.05475 | − | 0.608962i | 0.159010 | − | 0.0918044i | ||||
\(45\) | −3.89050 | − | 0.0314436i | −0.579961 | − | 0.00468734i | ||||
\(46\) | 1.39071 | − | 2.40878i | 0.205049 | − | 0.355156i | ||||
\(47\) | −3.72155 | + | 3.72155i | −0.542844 | + | 0.542844i | −0.924362 | − | 0.381518i | \(-0.875402\pi\) |
0.381518 | + | 0.924362i | \(0.375402\pi\) | |||||||
\(48\) | 0.793745 | − | 0.793745i | 0.114567 | − | 0.114567i | ||||
\(49\) | −4.86627 | − | 2.80954i | −0.695181 | − | 0.401363i | ||||
\(50\) | 2.42968 | + | 4.36997i | 0.343609 | + | 0.618007i | ||||
\(51\) | 4.75145 | + | 4.75145i | 0.665336 | + | 0.665336i | ||||
\(52\) | −1.27802 | + | 2.21360i | −0.177230 | + | 0.306971i | ||||
\(53\) | 5.06804 | − | 1.35798i | 0.696149 | − | 0.186533i | 0.106644 | − | 0.994297i | \(-0.465989\pi\) |
0.589505 | + | 0.807765i | \(0.299323\pi\) | |||||||
\(54\) | −5.13940 | + | 1.37710i | −0.699384 | + | 0.187399i | ||||
\(55\) | 1.34257 | + | 2.36943i | 0.181033 | + | 0.319493i | ||||
\(56\) | −1.13508 | − | 0.304145i | −0.151682 | − | 0.0406430i | ||||
\(57\) | −3.22811 | + | 5.59124i | −0.427573 | + | 0.740578i | ||||
\(58\) | 1.42418 | + | 5.31511i | 0.187004 | + | 0.697908i | ||||
\(59\) | 0.984278 | − | 0.263737i | 0.128142 | − | 0.0343356i | −0.194178 | − | 0.980966i | \(-0.562204\pi\) |
0.322320 | + | 0.946631i | \(0.395537\pi\) | |||||||
\(60\) | 1.76046 | + | 1.78915i | 0.227275 | + | 0.230979i | ||||
\(61\) | −0.684514 | + | 2.55464i | −0.0876431 | + | 0.327088i | −0.995802 | − | 0.0915380i | \(-0.970822\pi\) |
0.908158 | + | 0.418627i | \(0.137488\pi\) | |||||||
\(62\) | −2.31522 | + | 0.620361i | −0.294033 | + | 0.0787859i | ||||
\(63\) | 1.44578 | + | 1.44578i | 0.182152 | + | 0.182152i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −4.92650 | − | 2.89766i | −0.611058 | − | 0.359410i | ||||
\(66\) | 0.966720 | + | 0.966720i | 0.118995 | + | 0.118995i | ||||
\(67\) | −3.05506 | + | 11.4016i | −0.373234 | + | 1.39293i | 0.482673 | + | 0.875801i | \(0.339666\pi\) |
−0.855907 | + | 0.517129i | \(0.827001\pi\) | |||||||
\(68\) | 5.98612i | 0.725923i | ||||||||
\(69\) | 3.01583 | + | 0.808089i | 0.363063 | + | 0.0972825i | ||||
\(70\) | 0.700579 | − | 2.53254i | 0.0837352 | − | 0.302697i | ||||
\(71\) | −2.54689 | − | 4.41134i | −0.302260 | − | 0.523530i | 0.674387 | − | 0.738378i | \(-0.264408\pi\) |
−0.976648 | + | 0.214848i | \(0.931074\pi\) | |||||||
\(72\) | −1.50683 | − | 0.869970i | −0.177582 | − | 0.102527i | ||||
\(73\) | −5.93204 | + | 5.93204i | −0.694292 | + | 0.694292i | −0.963173 | − | 0.268881i | \(-0.913346\pi\) |
0.268881 | + | 0.963173i | \(0.413346\pi\) | |||||||
\(74\) | 6.01880 | + | 0.879826i | 0.699671 | + | 0.102278i | ||||
\(75\) | −4.03235 | + | 3.90406i | −0.465616 | + | 0.450802i | ||||
\(76\) | −5.55553 | + | 1.48860i | −0.637264 | + | 0.170754i | ||||
\(77\) | 0.370425 | − | 1.38244i | 0.0422138 | − | 0.157544i | ||||
\(78\) | −2.77146 | − | 0.742610i | −0.313806 | − | 0.0840840i | ||||
\(79\) | −3.10378 | + | 11.5835i | −0.349202 | + | 1.30324i | 0.538423 | + | 0.842675i | \(0.319020\pi\) |
−0.887625 | + | 0.460567i | \(0.847646\pi\) | |||||||
\(80\) | −0.0180717 | + | 2.23599i | −0.00202048 | + | 0.249992i | ||||
\(81\) | −0.376397 | − | 0.651939i | −0.0418219 | − | 0.0724377i | ||||
\(82\) | 9.53459i | 1.05292i | ||||||||
\(83\) | 16.7777 | − | 4.49556i | 1.84159 | − | 0.493452i | 0.842604 | − | 0.538533i | \(-0.181021\pi\) |
0.998983 | + | 0.0450809i | \(0.0143546\pi\) | |||||||
\(84\) | − | 1.31911i | − | 0.143926i | ||||||
\(85\) | −13.3849 | − | 0.108179i | −1.45180 | − | 0.0117337i | ||||
\(86\) | 2.62998 | − | 4.55526i | 0.283598 | − | 0.491206i | ||||
\(87\) | −5.34927 | + | 3.08840i | −0.573502 | + | 0.331112i | ||||
\(88\) | 1.21792i | 0.129831i | ||||||||
\(89\) | 1.51708 | + | 5.66183i | 0.160810 | + | 0.600152i | 0.998538 | + | 0.0540634i | \(0.0172173\pi\) |
−0.837727 | + | 0.546089i | \(0.816116\pi\) | |||||||
\(90\) | 1.97248 | − | 3.35355i | 0.207917 | − | 0.353495i | ||||
\(91\) | 0.777408 | + | 2.90133i | 0.0814945 | + | 0.304142i | ||||
\(92\) | 1.39071 | + | 2.40878i | 0.144992 | + | 0.251133i | ||||
\(93\) | −1.34528 | − | 2.33010i | −0.139499 | − | 0.241620i | ||||
\(94\) | −1.36218 | − | 5.08373i | −0.140498 | − | 0.524347i | ||||
\(95\) | −3.22811 | − | 12.4490i | −0.331197 | − | 1.27725i | ||||
\(96\) | 0.290531 | + | 1.08428i | 0.0296522 | + | 0.110663i | ||||
\(97\) | − | 8.11468i | − | 0.823921i | −0.911202 | − | 0.411961i | \(-0.864844\pi\) | ||
0.911202 | − | 0.411961i | \(-0.135156\pi\) | |||||||
\(98\) | 4.86627 | − | 2.80954i | 0.491567 | − | 0.283806i | ||||
\(99\) | 1.05956 | − | 1.83521i | 0.106489 | − | 0.184445i | ||||
\(100\) | −4.99935 | − | 0.0808164i | −0.499935 | − | 0.00808164i | ||||
\(101\) | 3.43331i | 0.341627i | 0.985303 | + | 0.170814i | \(0.0546396\pi\) | ||||
−0.985303 | + | 0.170814i | \(0.945360\pi\) | |||||||
\(102\) | −6.49060 | + | 1.73915i | −0.642665 | + | 0.172202i | ||||
\(103\) | − | 2.01323i | − | 0.198369i | −0.995069 | − | 0.0991847i | \(-0.968377\pi\) | ||
0.995069 | − | 0.0991847i | \(-0.0316235\pi\) | |||||||
\(104\) | −1.27802 | − | 2.21360i | −0.125320 | − | 0.217061i | ||||
\(105\) | 2.94952 | + | 0.0238385i | 0.287843 | + | 0.00232640i | ||||
\(106\) | −1.35798 | + | 5.06804i | −0.131898 | + | 0.492252i | ||||
\(107\) | −2.66586 | − | 0.714316i | −0.257719 | − | 0.0690555i | 0.127646 | − | 0.991820i | \(-0.459258\pi\) |
−0.385365 | + | 0.922764i | \(0.625924\pi\) | |||||||
\(108\) | 1.37710 | − | 5.13940i | 0.132511 | − | 0.494539i | ||||
\(109\) | −4.48233 | + | 1.20104i | −0.429330 | + | 0.115039i | −0.467011 | − | 0.884251i | \(-0.654669\pi\) |
0.0376819 | + | 0.999290i | \(0.488003\pi\) | |||||||
\(110\) | −2.72327 | − | 0.0220099i | −0.259654 | − | 0.00209856i | ||||
\(111\) | 0.794671 | + | 6.78165i | 0.0754268 | + | 0.643686i | ||||
\(112\) | 0.830939 | − | 0.830939i | 0.0785163 | − | 0.0785163i | ||||
\(113\) | 12.1874 | + | 7.03638i | 1.14649 | + | 0.661927i | 0.948030 | − | 0.318181i | \(-0.103072\pi\) |
0.198462 | + | 0.980109i | \(0.436405\pi\) | |||||||
\(114\) | −3.22811 | − | 5.59124i | −0.302340 | − | 0.523668i | ||||
\(115\) | −5.41116 | + | 3.06609i | −0.504593 | + | 0.285915i | ||||
\(116\) | −5.31511 | − | 1.42418i | −0.493495 | − | 0.132232i | ||||
\(117\) | 4.44736i | 0.411159i | ||||||||
\(118\) | −0.263737 | + | 0.984278i | −0.0242789 | + | 0.0906102i | ||||
\(119\) | 4.97410 | + | 4.97410i | 0.455975 | + | 0.455975i | ||||
\(120\) | −2.42968 | + | 0.630030i | −0.221799 | + | 0.0575136i | ||||
\(121\) | 9.51666 | 0.865151 | ||||||||
\(122\) | −1.87013 | − | 1.87013i | −0.169313 | − | 0.169313i | ||||
\(123\) | −10.3381 | + | 2.77009i | −0.932157 | + | 0.249771i | ||||
\(124\) | 0.620361 | − | 2.31522i | 0.0557100 | − | 0.207913i | ||||
\(125\) | 0.271052 | − | 11.1771i | 0.0242436 | − | 0.999706i | ||||
\(126\) | −1.97498 | + | 0.529193i | −0.175945 | + | 0.0471443i | ||||
\(127\) | −2.29622 | − | 8.56961i | −0.203757 | − | 0.760430i | −0.989825 | − | 0.142290i | \(-0.954553\pi\) |
0.786068 | − | 0.618139i | \(-0.212113\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 5.70324 | + | 1.52818i | 0.502142 | + | 0.134549i | ||||
\(130\) | 4.97270 | − | 2.81765i | 0.436134 | − | 0.247124i | ||||
\(131\) | 13.5584 | − | 3.63297i | 1.18460 | − | 0.317414i | 0.387853 | − | 0.921721i | \(-0.373217\pi\) |
0.796751 | + | 0.604308i | \(0.206550\pi\) | |||||||
\(132\) | −1.32056 | + | 0.353844i | −0.114940 | + | 0.0307982i | ||||
\(133\) | −3.37937 | + | 5.85325i | −0.293029 | + | 0.507541i | ||||
\(134\) | −8.34657 | − | 8.34657i | −0.721034 | − | 0.721034i | ||||
\(135\) | 11.4668 | + | 3.17206i | 0.986904 | + | 0.273008i | ||||
\(136\) | −5.18413 | − | 2.99306i | −0.444535 | − | 0.256653i | ||||
\(137\) | 4.03954 | − | 4.03954i | 0.345122 | − | 0.345122i | −0.513167 | − | 0.858289i | \(-0.671528\pi\) |
0.858289 | + | 0.513167i | \(0.171528\pi\) | |||||||
\(138\) | −2.20774 | + | 2.20774i | −0.187935 | + | 0.187935i | ||||
\(139\) | −6.58254 | + | 11.4013i | −0.558324 | + | 0.967046i | 0.439313 | + | 0.898334i | \(0.355222\pi\) |
−0.997637 | + | 0.0687113i | \(0.978111\pi\) | |||||||
\(140\) | 1.84296 | + | 1.87299i | 0.155758 | + | 0.158297i | ||||
\(141\) | 5.11641 | − | 2.95396i | 0.430879 | − | 0.248768i | ||||
\(142\) | 5.09378 | 0.427460 | ||||||||
\(143\) | 2.69600 | − | 1.55653i | 0.225450 | − | 0.130164i | ||||
\(144\) | 1.50683 | − | 0.869970i | 0.125569 | − | 0.0724975i | ||||
\(145\) | 3.28051 | − | 11.8588i | 0.272431 | − | 0.984821i | ||||
\(146\) | −2.17128 | − | 8.10331i | −0.179696 | − | 0.670635i | ||||
\(147\) | 4.46012 | + | 4.46012i | 0.367864 | + | 0.367864i | ||||
\(148\) | −3.77135 | + | 4.77252i | −0.310003 | + | 0.392298i | ||||
\(149\) | 6.04160i | 0.494947i | 0.968895 | + | 0.247474i | \(0.0796004\pi\) | ||||
−0.968895 | + | 0.247474i | \(0.920400\pi\) | |||||||
\(150\) | −1.36484 | − | 5.44415i | −0.111438 | − | 0.444513i | ||||
\(151\) | 10.3575 | − | 5.97991i | 0.842882 | − | 0.486638i | −0.0153611 | − | 0.999882i | \(-0.504890\pi\) |
0.858243 | + | 0.513244i | \(0.171556\pi\) | |||||||
\(152\) | 1.48860 | − | 5.55553i | 0.120741 | − | 0.450613i | ||||
\(153\) | 5.20774 | + | 9.02007i | 0.421021 | + | 0.729229i | ||||
\(154\) | 1.01202 | + | 1.01202i | 0.0815509 | + | 0.0815509i | ||||
\(155\) | 5.16560 | + | 1.42896i | 0.414911 | + | 0.114777i | ||||
\(156\) | 2.02885 | − | 2.02885i | 0.162438 | − | 0.162438i | ||||
\(157\) | 5.39005 | + | 20.1160i | 0.430173 | + | 1.60543i | 0.752360 | + | 0.658752i | \(0.228915\pi\) |
−0.322187 | + | 0.946676i | \(0.604418\pi\) | |||||||
\(158\) | −8.47968 | − | 8.47968i | −0.674607 | − | 0.674607i | ||||
\(159\) | −5.88969 | −0.467083 | ||||||||
\(160\) | −1.92739 | − | 1.13365i | −0.152374 | − | 0.0896227i | ||||
\(161\) | 3.15715 | + | 0.845955i | 0.248818 | + | 0.0666706i | ||||
\(162\) | 0.752795 | 0.0591451 | ||||||||
\(163\) | −15.1902 | − | 8.77009i | −1.18979 | − | 0.686927i | −0.231532 | − | 0.972827i | \(-0.574374\pi\) |
−0.958259 | + | 0.285901i | \(0.907707\pi\) | |||||||
\(164\) | −8.25720 | − | 4.76730i | −0.644779 | − | 0.372263i | ||||
\(165\) | −0.767329 | − | 2.95917i | −0.0597365 | − | 0.230371i | ||||
\(166\) | −4.49556 | + | 16.7777i | −0.348923 | + | 1.30220i | ||||
\(167\) | 15.9782 | − | 9.22500i | 1.23643 | − | 0.713852i | 0.268066 | − | 0.963401i | \(-0.413616\pi\) |
0.968362 | + | 0.249549i | \(0.0802823\pi\) | |||||||
\(168\) | 1.14238 | + | 0.659553i | 0.0881365 | + | 0.0508856i | ||||
\(169\) | 3.23332 | − | 5.60027i | 0.248717 | − | 0.430790i | ||||
\(170\) | 6.78615 | − | 11.5376i | 0.520474 | − | 0.884893i | ||||
\(171\) | −7.07622 | + | 7.07622i | −0.541132 | + | 0.541132i | ||||
\(172\) | 2.62998 | + | 4.55526i | 0.200534 | + | 0.347335i | ||||
\(173\) | 2.09410 | + | 7.81527i | 0.159211 | + | 0.594184i | 0.998708 | + | 0.0508192i | \(0.0161832\pi\) |
−0.839497 | + | 0.543365i | \(0.817150\pi\) | |||||||
\(174\) | − | 6.17681i | − | 0.468263i | ||||||
\(175\) | −4.22131 | + | 4.08700i | −0.319101 | + | 0.308948i | ||||
\(176\) | −1.05475 | − | 0.608962i | −0.0795050 | − | 0.0459022i | ||||
\(177\) | −1.14385 | −0.0859772 | ||||||||
\(178\) | −5.66183 | − | 1.51708i | −0.424372 | − | 0.113710i | ||||
\(179\) | −11.0154 | + | 11.0154i | −0.823333 | + | 0.823333i | −0.986585 | − | 0.163251i | \(-0.947802\pi\) |
0.163251 | + | 0.986585i | \(0.447802\pi\) | |||||||
\(180\) | 1.91802 | + | 3.38499i | 0.142961 | + | 0.252302i | ||||
\(181\) | −7.05432 | − | 12.2184i | −0.524344 | − | 0.908190i | −0.999598 | − | 0.0283418i | \(-0.990977\pi\) |
0.475254 | − | 0.879848i | \(-0.342356\pi\) | |||||||
\(182\) | −2.90133 | − | 0.777408i | −0.215061 | − | 0.0576253i | ||||
\(183\) | 1.48440 | − | 2.57106i | 0.109730 | − | 0.190058i | ||||
\(184\) | −2.78142 | −0.205049 | ||||||||
\(185\) | −10.6032 | − | 8.51897i | −0.779561 | − | 0.626327i | ||||
\(186\) | 2.69057 | 0.197282 | ||||||||
\(187\) | 3.64532 | − | 6.31387i | 0.266572 | − | 0.461716i | ||||
\(188\) | 5.08373 | + | 1.36218i | 0.370769 | + | 0.0993473i | ||||
\(189\) | −3.12624 | − | 5.41481i | −0.227401 | − | 0.393869i | ||||
\(190\) | 12.3952 | + | 3.42890i | 0.899246 | + | 0.248759i | ||||
\(191\) | 3.33828 | − | 3.33828i | 0.241550 | − | 0.241550i | −0.575941 | − | 0.817491i | \(-0.695364\pi\) |
0.817491 | + | 0.575941i | \(0.195364\pi\) | |||||||
\(192\) | −1.08428 | − | 0.290531i | −0.0782508 | − | 0.0209672i | ||||
\(193\) | 5.32063 | 0.382987 | 0.191494 | − | 0.981494i | \(-0.438667\pi\) | ||||
0.191494 | + | 0.981494i | \(0.438667\pi\) | |||||||
\(194\) | 7.02752 | + | 4.05734i | 0.504547 | + | 0.291300i | ||||
\(195\) | 4.49983 | + | 4.57316i | 0.322239 | + | 0.327491i | ||||
\(196\) | 5.61908i | 0.401363i | ||||||||
\(197\) | −5.30374 | − | 19.7938i | −0.377876 | − | 1.41025i | −0.849097 | − | 0.528237i | \(-0.822853\pi\) |
0.471222 | − | 0.882015i | \(-0.343813\pi\) | |||||||
\(198\) | 1.05956 | + | 1.83521i | 0.0752994 | + | 0.130422i | ||||
\(199\) | 19.1905 | − | 19.1905i | 1.36038 | − | 1.36038i | 0.486953 | − | 0.873428i | \(-0.338108\pi\) |
0.873428 | − | 0.486953i | \(-0.161892\pi\) | |||||||
\(200\) | 2.56966 | − | 4.28915i | 0.181703 | − | 0.303289i | ||||
\(201\) | 6.62504 | − | 11.4749i | 0.467294 | − | 0.809378i | ||||
\(202\) | −2.97333 | − | 1.71666i | −0.209203 | − | 0.120783i | ||||
\(203\) | −5.59993 | + | 3.23312i | −0.393038 | + | 0.226921i | ||||
\(204\) | 1.73915 | − | 6.49060i | 0.121765 | − | 0.454433i | ||||
\(205\) | 10.8089 | − | 18.3769i | 0.754924 | − | 1.28350i | ||||
\(206\) | 1.74351 | + | 1.00661i | 0.121476 | + | 0.0701342i | ||||
\(207\) | 4.19114 | + | 2.41975i | 0.291304 | + | 0.168185i | ||||
\(208\) | 2.55605 | 0.177230 | ||||||||
\(209\) | 6.76622 | + | 1.81300i | 0.468029 | + | 0.125408i | ||||
\(210\) | −1.49540 | + | 2.54244i | −0.103193 | + | 0.175445i | ||||
\(211\) | −5.40727 | −0.372252 | −0.186126 | − | 0.982526i | \(-0.559593\pi\) | ||||
−0.186126 | + | 0.982526i | \(0.559593\pi\) | |||||||
\(212\) | −3.71006 | − | 3.71006i | −0.254808 | − | 0.254808i | ||||
\(213\) | 1.47990 | + | 5.52306i | 0.101401 | + | 0.378434i | ||||
\(214\) | 1.95155 | − | 1.95155i | 0.133405 | − | 0.133405i | ||||
\(215\) | −10.2331 | + | 5.79830i | −0.697889 | + | 0.395441i | ||||
\(216\) | 3.76230 | + | 3.76230i | 0.255992 | + | 0.255992i | ||||
\(217\) | −1.40832 | − | 2.43929i | −0.0956031 | − | 0.165589i | ||||
\(218\) | 1.20104 | − | 4.48233i | 0.0813445 | − | 0.303582i | ||||
\(219\) | 8.15540 | − | 4.70852i | 0.551091 | − | 0.318172i | ||||
\(220\) | 1.38070 | − | 2.34742i | 0.0930865 | − | 0.158263i | ||||
\(221\) | 15.3008i | 1.02924i | ||||||||
\(222\) | −6.27042 | − | 2.70262i | −0.420843 | − | 0.181388i | ||||
\(223\) | 6.58856 | + | 6.58856i | 0.441202 | + | 0.441202i | 0.892416 | − | 0.451214i | \(-0.149009\pi\) |
−0.451214 | + | 0.892416i | \(0.649009\pi\) | |||||||
\(224\) | 0.304145 | + | 1.13508i | 0.0203215 | + | 0.0758410i | ||||
\(225\) | −7.60348 | + | 4.22750i | −0.506899 | + | 0.281834i | ||||
\(226\) | −12.1874 | + | 7.03638i | −0.810692 | + | 0.468053i | ||||
\(227\) | 16.1937 | − | 9.34941i | 1.07481 | − | 0.620542i | 0.145319 | − | 0.989385i | \(-0.453579\pi\) |
0.929492 | + | 0.368843i | \(0.120246\pi\) | |||||||
\(228\) | 6.45621 | 0.427573 | ||||||||
\(229\) | −6.81335 | + | 3.93369i | −0.450239 | + | 0.259945i | −0.707931 | − | 0.706282i | \(-0.750371\pi\) |
0.257692 | + | 0.966227i | \(0.417038\pi\) | |||||||
\(230\) | 0.0502650 | − | 6.21925i | 0.00331438 | − | 0.410085i | ||||
\(231\) | −0.803285 | + | 1.39133i | −0.0528523 | + | 0.0915428i | ||||
\(232\) | 3.89093 | − | 3.89093i | 0.255452 | − | 0.255452i | ||||
\(233\) | 7.06630 | − | 7.06630i | 0.462929 | − | 0.462929i | −0.436686 | − | 0.899614i | \(-0.643848\pi\) |
0.899614 | + | 0.436686i | \(0.143848\pi\) | |||||||
\(234\) | −3.85153 | − | 2.22368i | −0.251782 | − | 0.145367i | ||||
\(235\) | −3.13770 | + | 11.3426i | −0.204681 | + | 0.739908i | ||||
\(236\) | −0.720542 | − | 0.720542i | −0.0469033 | − | 0.0469033i | ||||
\(237\) | 6.73070 | − | 11.6579i | 0.437206 | − | 0.757263i | ||||
\(238\) | −6.79474 | + | 1.82065i | −0.440438 | + | 0.118015i | ||||
\(239\) | −5.09670 | + | 1.36566i | −0.329678 | + | 0.0883370i | −0.419861 | − | 0.907588i | \(-0.637921\pi\) |
0.0901834 | + | 0.995925i | \(0.471255\pi\) | |||||||
\(240\) | 0.669220 | − | 2.41918i | 0.0431980 | − | 0.156158i | ||||
\(241\) | −24.4167 | − | 6.54244i | −1.57282 | − | 0.421436i | −0.636126 | − | 0.771585i | \(-0.719464\pi\) |
−0.936694 | + | 0.350149i | \(0.886131\pi\) | |||||||
\(242\) | −4.75833 | + | 8.24167i | −0.305877 | + | 0.529795i | ||||
\(243\) | −3.91258 | − | 14.6020i | −0.250992 | − | 0.936716i | ||||
\(244\) | 2.55464 | − | 0.684514i | 0.163544 | − | 0.0438215i | ||||
\(245\) | −12.5642 | − | 0.101546i | −0.802700 | − | 0.00648755i | ||||
\(246\) | 2.77009 | − | 10.3381i | 0.176615 | − | 0.659135i | ||||
\(247\) | −14.2002 | + | 3.80493i | −0.903537 | + | 0.242102i | ||||
\(248\) | 1.69486 | + | 1.69486i | 0.107623 | + | 0.107623i | ||||
\(249\) | −19.4977 | −1.23562 | ||||||||
\(250\) | 9.54409 | + | 5.82326i | 0.603621 | + | 0.368296i | ||||
\(251\) | −14.2080 | − | 14.2080i | −0.896802 | − | 0.896802i | 0.0983497 | − | 0.995152i | \(-0.468644\pi\) |
−0.995152 | + | 0.0983497i | \(0.968644\pi\) | |||||||
\(252\) | 0.529193 | − | 1.97498i | 0.0333360 | − | 0.124412i | ||||
\(253\) | − | 3.38756i | − | 0.212974i | ||||||
\(254\) | 8.56961 | + | 2.29622i | 0.537705 | + | 0.144078i | ||||
\(255\) | 14.4815 | + | 4.00603i | 0.906868 | + | 0.250867i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 6.18360 | + | 3.57011i | 0.385723 | + | 0.222697i | 0.680305 | − | 0.732929i | \(-0.261847\pi\) |
−0.294583 | + | 0.955626i | \(0.595181\pi\) | |||||||
\(258\) | −4.17506 | + | 4.17506i | −0.259928 | + | 0.259928i | ||||
\(259\) | 0.831909 | + | 7.09943i | 0.0516923 | + | 0.441137i | ||||
\(260\) | −0.0461920 | + | 5.71530i | −0.00286471 | + | 0.354448i | ||||
\(261\) | −9.24796 | + | 2.47798i | −0.572435 | + | 0.153383i | ||||
\(262\) | −3.63297 | + | 13.5584i | −0.224445 | + | 0.837642i | ||||
\(263\) | −1.38769 | − | 0.371830i | −0.0855686 | − | 0.0229280i | 0.215781 | − | 0.976442i | \(-0.430770\pi\) |
−0.301349 | + | 0.953514i | \(0.597437\pi\) | |||||||
\(264\) | 0.353844 | − | 1.32056i | 0.0217776 | − | 0.0812751i | ||||
\(265\) | 8.36273 | − | 8.22864i | 0.513719 | − | 0.505481i | ||||
\(266\) | −3.37937 | − | 5.85325i | −0.207203 | − | 0.358886i | ||||
\(267\) | − | 6.57974i | − | 0.402673i | ||||||
\(268\) | 11.4016 | − | 3.05506i | 0.696465 | − | 0.186617i | ||||
\(269\) | 16.2747i | 0.992286i | 0.868241 | + | 0.496143i | \(0.165251\pi\) | ||||
−0.868241 | + | 0.496143i | \(0.834749\pi\) | |||||||
\(270\) | −8.48048 | + | 8.34449i | −0.516105 | + | 0.507830i | ||||
\(271\) | 2.32149 | − | 4.02093i | 0.141020 | − | 0.244254i | −0.786861 | − | 0.617130i | \(-0.788295\pi\) |
0.927881 | + | 0.372876i | \(0.121628\pi\) | |||||||
\(272\) | 5.18413 | − | 2.99306i | 0.314334 | − | 0.181481i | ||||
\(273\) | − | 3.37170i | − | 0.204064i | ||||||
\(274\) | 1.47858 | + | 5.51812i | 0.0893240 | + | 0.333362i | ||||
\(275\) | 5.22386 | + | 3.12965i | 0.315011 | + | 0.188725i | ||||
\(276\) | −0.808089 | − | 3.01583i | −0.0486412 | − | 0.181532i | ||||
\(277\) | 5.22371 | + | 9.04773i | 0.313862 | + | 0.543625i | 0.979195 | − | 0.202922i | \(-0.0650437\pi\) |
−0.665333 | + | 0.746547i | \(0.731710\pi\) | |||||||
\(278\) | −6.58254 | − | 11.4013i | −0.394795 | − | 0.683804i | ||||
\(279\) | −1.07939 | − | 4.02834i | −0.0646214 | − | 0.241170i | ||||
\(280\) | −2.54354 | + | 0.659553i | −0.152005 | + | 0.0394158i | ||||
\(281\) | 2.58974 | + | 9.66505i | 0.154491 | + | 0.576569i | 0.999148 | + | 0.0412612i | \(0.0131376\pi\) |
−0.844657 | + | 0.535307i | \(0.820196\pi\) | |||||||
\(282\) | 5.90792i | 0.351812i | ||||||||
\(283\) | −19.2627 | + | 11.1213i | −1.14505 | + | 0.661093i | −0.947675 | − | 0.319236i | \(-0.896574\pi\) |
−0.197371 | + | 0.980329i | \(0.563240\pi\) | |||||||
\(284\) | −2.54689 | + | 4.41134i | −0.151130 | + | 0.261765i | ||||
\(285\) | −0.116675 | + | 14.4361i | −0.00691121 | + | 0.855118i | ||||
\(286\) | 3.11307i | 0.184080i | ||||||||
\(287\) | −10.8226 | + | 2.89990i | −0.638835 | + | 0.171175i | ||||
\(288\) | 1.73994i | 0.102527i | ||||||||
\(289\) | 9.41680 | + | 16.3104i | 0.553929 | + | 0.959434i | ||||
\(290\) | 8.62978 | + | 8.77041i | 0.506758 | + | 0.515016i | ||||
\(291\) | −2.35756 | + | 8.79855i | −0.138203 | + | 0.515780i | ||||
\(292\) | 8.10331 | + | 2.17128i | 0.474211 | + | 0.127064i | ||||
\(293\) | 7.84718 | − | 29.2861i | 0.458437 | − | 1.71091i | −0.219345 | − | 0.975647i | \(-0.570392\pi\) |
0.677782 | − | 0.735263i | \(-0.262941\pi\) | |||||||
\(294\) | −6.09263 | + | 1.63252i | −0.355329 | + | 0.0952102i | ||||
\(295\) | 1.62415 | − | 1.59811i | 0.0945616 | − | 0.0930453i | ||||
\(296\) | −2.24745 | − | 5.65234i | −0.130630 | − | 0.328536i | ||||
\(297\) | −4.58219 | + | 4.58219i | −0.265886 | + | 0.265886i | ||||
\(298\) | −5.23218 | − | 3.02080i | −0.303092 | − | 0.174990i | ||||
\(299\) | 3.55472 | + | 6.15696i | 0.205575 | + | 0.356066i | ||||
\(300\) | 5.39719 | + | 1.54009i | 0.311607 | + | 0.0889172i | ||||
\(301\) | 5.97049 | + | 1.59979i | 0.344133 | + | 0.0922103i | ||||
\(302\) | 11.9598i | 0.688210i | ||||||||
\(303\) | 0.997482 | − | 3.72265i | 0.0573039 | − | 0.213861i | ||||
\(304\) | 4.06693 | + | 4.06693i | 0.233255 | + | 0.233255i | ||||
\(305\) | 1.48440 | + | 5.72454i | 0.0849967 | + | 0.327786i | ||||
\(306\) | −10.4155 | −0.595413 | ||||||||
\(307\) | 1.72228 | + | 1.72228i | 0.0982959 | + | 0.0982959i | 0.754545 | − | 0.656249i | \(-0.227858\pi\) |
−0.656249 | + | 0.754545i | \(0.727858\pi\) | |||||||
\(308\) | −1.38244 | + | 0.370425i | −0.0787721 | + | 0.0211069i | ||||
\(309\) | −0.584905 | + | 2.18289i | −0.0332741 | + | 0.124181i | ||||
\(310\) | −3.82032 | + | 3.75906i | −0.216980 | + | 0.213500i | ||||
\(311\) | −24.6877 | + | 6.61505i | −1.39991 | + | 0.375105i | −0.878313 | − | 0.478086i | \(-0.841331\pi\) |
−0.521599 | + | 0.853191i | \(0.674664\pi\) | |||||||
\(312\) | 0.742610 | + | 2.77146i | 0.0420420 | + | 0.156903i | ||||
\(313\) | 4.40247 | − | 7.62529i | 0.248842 | − | 0.431007i | −0.714363 | − | 0.699776i | \(-0.753283\pi\) |
0.963205 | + | 0.268768i | \(0.0866167\pi\) | |||||||
\(314\) | −20.1160 | − | 5.39005i | −1.13521 | − | 0.304178i | ||||
\(315\) | 4.40647 | + | 1.21896i | 0.248277 | + | 0.0686809i | ||||
\(316\) | 11.5835 | − | 3.10378i | 0.651621 | − | 0.174601i | ||||
\(317\) | 0.580119 | − | 0.155442i | 0.0325827 | − | 0.00873051i | −0.242491 | − | 0.970154i | \(-0.577964\pi\) |
0.275074 | + | 0.961423i | \(0.411298\pi\) | |||||||
\(318\) | 2.94484 | − | 5.10062i | 0.165139 | − | 0.286029i | ||||
\(319\) | 4.73885 | + | 4.73885i | 0.265325 | + | 0.265325i | ||||
\(320\) | 1.94546 | − | 1.10235i | 0.108755 | − | 0.0616231i | ||||
\(321\) | 2.68300 | + | 1.54903i | 0.149750 | + | 0.0864584i | ||||
\(322\) | −2.31119 | + | 2.31119i | −0.128798 | + | 0.128798i | ||||
\(323\) | −24.3451 | + | 24.3451i | −1.35460 | + | 1.35460i | ||||
\(324\) | −0.376397 | + | 0.651939i | −0.0209110 | + | 0.0362189i | ||||
\(325\) | −12.7786 | − | 0.206570i | −0.708827 | − | 0.0114585i | ||||
\(326\) | 15.1902 | − | 8.77009i | 0.841310 | − | 0.485730i | ||||
\(327\) | 5.20902 | 0.288059 | ||||||||
\(328\) | 8.25720 | − | 4.76730i | 0.455928 | − | 0.263230i | ||||
\(329\) | 5.35616 | − | 3.09238i | 0.295295 | − | 0.170488i | ||||
\(330\) | 2.94638 | + | 0.815058i | 0.162193 | + | 0.0448675i | ||||
\(331\) | −2.38651 | − | 8.90659i | −0.131175 | − | 0.489550i | 0.868810 | − | 0.495146i | \(-0.164885\pi\) |
−0.999984 | + | 0.00559571i | \(0.998219\pi\) | |||||||
\(332\) | −12.2821 | − | 12.2821i | −0.674068 | − | 0.674068i | ||||
\(333\) | −1.53084 | + | 10.4723i | −0.0838897 | + | 0.573881i | ||||
\(334\) | 18.4500i | 1.00954i | ||||||||
\(335\) | 6.62504 | + | 25.5492i | 0.361965 | + | 1.39590i | ||||
\(336\) | −1.14238 | + | 0.659553i | −0.0623219 | + | 0.0359816i | ||||
\(337\) | 6.09542 | − | 22.7484i | 0.332039 | − | 1.23919i | −0.575005 | − | 0.818150i | \(-0.695000\pi\) |
0.907044 | − | 0.421036i | \(-0.138333\pi\) | |||||||
\(338\) | 3.23332 | + | 5.60027i | 0.175869 | + | 0.304614i | ||||
\(339\) | −11.1702 | − | 11.1702i | −0.606681 | − | 0.606681i | ||||
\(340\) | 6.59878 | + | 11.6458i | 0.357869 | + | 0.631581i | ||||
\(341\) | −2.06421 | + | 2.06421i | −0.111783 | + | 0.111783i | ||||
\(342\) | −2.59008 | − | 9.66629i | −0.140055 | − | 0.522693i | ||||
\(343\) | 10.4857 | + | 10.4857i | 0.566174 | + | 0.566174i | ||||
\(344\) | −5.25996 | −0.283598 | ||||||||
\(345\) | 6.75798 | − | 1.75238i | 0.363837 | − | 0.0943451i | ||||
\(346\) | −7.81527 | − | 2.09410i | −0.420151 | − | 0.112579i | ||||
\(347\) | 2.06721 | 0.110974 | 0.0554869 | − | 0.998459i | \(-0.482329\pi\) | ||||
0.0554869 | + | 0.998459i | \(0.482329\pi\) | |||||||
\(348\) | 5.34927 | + | 3.08840i | 0.286751 | + | 0.165556i | ||||
\(349\) | 27.1332 | + | 15.6654i | 1.45241 | + | 0.838549i | 0.998618 | − | 0.0525589i | \(-0.0167377\pi\) |
0.453792 | + | 0.891108i | \(0.350071\pi\) | |||||||
\(350\) | −1.42879 | − | 5.69926i | −0.0763721 | − | 0.304638i | ||||
\(351\) | 3.51992 | − | 13.1365i | 0.187880 | − | 0.701176i | ||||
\(352\) | 1.05475 | − | 0.608962i | 0.0562185 | − | 0.0324578i | ||||
\(353\) | 3.27725 | + | 1.89212i | 0.174430 | + | 0.100707i | 0.584673 | − | 0.811269i | \(-0.301223\pi\) |
−0.410243 | + | 0.911976i | \(0.634556\pi\) | |||||||
\(354\) | 0.571926 | − | 0.990605i | 0.0303975 | − | 0.0526501i | ||||
\(355\) | −9.81771 | − | 5.77455i | −0.521070 | − | 0.306481i | ||||
\(356\) | 4.14474 | − | 4.14474i | 0.219671 | − | 0.219671i | ||||
\(357\) | −3.94816 | − | 6.83842i | −0.208959 | − | 0.361928i | ||||
\(358\) | −4.03193 | − | 15.0474i | −0.213094 | − | 0.795279i | ||||
\(359\) | 11.7954i | 0.622535i | 0.950322 | + | 0.311268i | \(0.100754\pi\) | ||||
−0.950322 | + | 0.311268i | \(0.899246\pi\) | |||||||
\(360\) | −3.89050 | − | 0.0314436i | −0.205047 | − | 0.00165722i | ||||
\(361\) | −12.1936 | − | 7.03995i | −0.641766 | − | 0.370524i | ||||
\(362\) | 14.1086 | 0.741534 | ||||||||
\(363\) | −10.3187 | − | 2.76488i | −0.541590 | − | 0.145119i | ||||
\(364\) | 2.12392 | − | 2.12392i | 0.111324 | − | 0.111324i | ||||
\(365\) | −5.00140 | + | 18.0797i | −0.261785 | + | 0.946336i | ||||
\(366\) | 1.48440 | + | 2.57106i | 0.0775910 | + | 0.134392i | ||||
\(367\) | 13.9517 | + | 3.73836i | 0.728275 | + | 0.195141i | 0.603861 | − | 0.797090i | \(-0.293628\pi\) |
0.124414 | + | 0.992230i | \(0.460295\pi\) | |||||||
\(368\) | 1.39071 | − | 2.40878i | 0.0724959 | − | 0.125567i | ||||
\(369\) | −16.5896 | −0.863621 | ||||||||
\(370\) | 12.6792 | − | 4.92313i | 0.659162 | − | 0.255941i | ||||
\(371\) | −6.16567 | −0.320106 | ||||||||
\(372\) | −1.34528 | + | 2.33010i | −0.0697497 | + | 0.120810i | ||||
\(373\) | 21.4766 | + | 5.75465i | 1.11202 | + | 0.297964i | 0.767649 | − | 0.640870i | \(-0.221426\pi\) |
0.344369 | + | 0.938834i | \(0.388093\pi\) | |||||||
\(374\) | 3.64532 | + | 6.31387i | 0.188495 | + | 0.326483i | ||||
\(375\) | −3.54117 | + | 12.0403i | −0.182865 | + | 0.621756i | ||||
\(376\) | −3.72155 | + | 3.72155i | −0.191924 | + | 0.191924i | ||||
\(377\) | −13.5857 | − | 3.64027i | −0.699697 | − | 0.187483i | ||||
\(378\) | 6.25248 | 0.321593 | ||||||||
\(379\) | −24.8895 | − | 14.3700i | −1.27849 | − | 0.738136i | −0.301919 | − | 0.953334i | \(-0.597627\pi\) |
−0.976571 | + | 0.215197i | \(0.930961\pi\) | |||||||
\(380\) | −9.16714 | + | 9.02015i | −0.470264 | + | 0.462724i | ||||
\(381\) | 9.95894i | 0.510212i | ||||||||
\(382\) | 1.22190 | + | 4.56018i | 0.0625176 | + | 0.233319i | ||||
\(383\) | −10.1538 | − | 17.5870i | −0.518837 | − | 0.898653i | −0.999760 | − | 0.0218898i | \(-0.993032\pi\) |
0.480923 | − | 0.876763i | \(-0.340302\pi\) | |||||||
\(384\) | 0.793745 | − | 0.793745i | 0.0405056 | − | 0.0405056i | ||||
\(385\) | −0.803285 | − | 3.09783i | −0.0409392 | − | 0.157880i | ||||
\(386\) | −2.66031 | + | 4.60780i | −0.135406 | + | 0.234531i | ||||
\(387\) | 7.92587 | + | 4.57600i | 0.402895 | + | 0.232611i | ||||
\(388\) | −7.02752 | + | 4.05734i | −0.356768 | + | 0.205980i | ||||
\(389\) | 7.24911 | − | 27.0540i | 0.367544 | − | 1.37169i | −0.496394 | − | 0.868097i | \(-0.665343\pi\) |
0.863939 | − | 0.503597i | \(-0.167990\pi\) | |||||||
\(390\) | −6.21038 | + | 1.61039i | −0.314475 | + | 0.0815451i | ||||
\(391\) | 14.4193 | + | 8.32496i | 0.729213 | + | 0.421012i | ||||
\(392\) | −4.86627 | − | 2.80954i | −0.245784 | − | 0.141903i | ||||
\(393\) | −15.7565 | −0.794812 | ||||||||
\(394\) | 19.7938 | + | 5.30374i | 0.997198 | + | 0.267198i | ||||
\(395\) | 6.73070 | + | 25.9567i | 0.338658 | + | 1.30602i | ||||
\(396\) | −2.11911 | −0.106489 | ||||||||
\(397\) | 4.26700 | + | 4.26700i | 0.214154 | + | 0.214154i | 0.806030 | − | 0.591875i | \(-0.201612\pi\) |
−0.591875 | + | 0.806030i | \(0.701612\pi\) | |||||||
\(398\) | 7.02422 | + | 26.2148i | 0.352093 | + | 1.31403i | ||||
\(399\) | 5.36472 | − | 5.36472i | 0.268572 | − | 0.268572i | ||||
\(400\) | 2.42968 | + | 4.36997i | 0.121484 | + | 0.218498i | ||||
\(401\) | 13.9165 | + | 13.9165i | 0.694957 | + | 0.694957i | 0.963318 | − | 0.268361i | \(-0.0864821\pi\) |
−0.268361 | + | 0.963318i | \(0.586482\pi\) | |||||||
\(402\) | 6.62504 | + | 11.4749i | 0.330427 | + | 0.572316i | ||||
\(403\) | 1.58567 | − | 5.91780i | 0.0789878 | − | 0.294787i | ||||
\(404\) | 2.97333 | − | 1.71666i | 0.147929 | − | 0.0854068i | ||||
\(405\) | −1.45093 | − | 0.853404i | −0.0720973 | − | 0.0424060i | ||||
\(406\) | − | 6.46625i | − | 0.320914i | ||||||
\(407\) | 6.88412 | − | 2.73722i | 0.341233 | − | 0.135679i | ||||
\(408\) | 4.75145 | + | 4.75145i | 0.235232 | + | 0.235232i | ||||
\(409\) | 2.96372 | + | 11.0608i | 0.146547 | + | 0.546920i | 0.999682 | + | 0.0252295i | \(0.00803165\pi\) |
−0.853135 | + | 0.521690i | \(0.825302\pi\) | |||||||
\(410\) | 10.5104 | + | 18.5492i | 0.519073 | + | 0.916080i | ||||
\(411\) | −5.55359 | + | 3.20637i | −0.273938 | + | 0.158158i | ||||
\(412\) | −1.74351 | + | 1.00661i | −0.0858965 | + | 0.0495923i | ||||
\(413\) | −1.19745 | −0.0589228 | ||||||||
\(414\) | −4.19114 | + | 2.41975i | −0.205983 | + | 0.118924i | ||||
\(415\) | 27.6847 | − | 27.2408i | 1.35899 | − | 1.33720i | ||||
\(416\) | −1.27802 | + | 2.21360i | −0.0626602 | + | 0.108531i | ||||
\(417\) | 10.4497 | − | 10.4497i | 0.511725 | − | 0.511725i | ||||
\(418\) | −4.95321 | + | 4.95321i | −0.242270 | + | 0.242270i | ||||
\(419\) | −2.86575 | − | 1.65454i | −0.140001 | − | 0.0808295i | 0.428364 | − | 0.903606i | \(-0.359090\pi\) |
−0.568364 | + | 0.822777i | \(0.692424\pi\) | |||||||
\(420\) | −1.45411 | − | 2.56627i | −0.0709534 | − | 0.125221i | ||||
\(421\) | −18.2118 | − | 18.2118i | −0.887588 | − | 0.887588i | 0.106703 | − | 0.994291i | \(-0.465971\pi\) |
−0.994291 | + | 0.106703i | \(0.965971\pi\) | |||||||
\(422\) | 2.70364 | − | 4.68284i | 0.131611 | − | 0.227957i | ||||
\(423\) | 8.84538 | − | 2.37011i | 0.430077 | − | 0.115239i | ||||
\(424\) | 5.06804 | − | 1.35798i | 0.246126 | − | 0.0659492i | ||||
\(425\) | −26.1592 | + | 14.5444i | −1.26891 | + | 0.705506i | ||||
\(426\) | −5.52306 | − | 1.47990i | −0.267593 | − | 0.0717013i | ||||
\(427\) | 1.55396 | − | 2.69154i | 0.0752015 | − | 0.130253i | ||||
\(428\) | 0.714316 | + | 2.66586i | 0.0345278 | + | 0.128859i | ||||
\(429\) | −3.37542 | + | 0.904442i | −0.162967 | + | 0.0436669i | ||||
\(430\) | 0.0950563 | − | 11.7612i | 0.00458402 | − | 0.567177i | ||||
\(431\) | 5.70595 | − | 21.2949i | 0.274846 | − | 1.02574i | −0.681099 | − | 0.732192i | \(-0.738498\pi\) |
0.955945 | − | 0.293547i | \(-0.0948358\pi\) | |||||||
\(432\) | −5.13940 | + | 1.37710i | −0.247269 | + | 0.0662556i | ||||
\(433\) | −7.99507 | − | 7.99507i | −0.384219 | − | 0.384219i | 0.488401 | − | 0.872619i | \(-0.337580\pi\) |
−0.872619 | + | 0.488401i | \(0.837580\pi\) | |||||||
\(434\) | 2.81664 | 0.135203 | ||||||||
\(435\) | −7.00232 | + | 11.9051i | −0.335736 | + | 0.570807i | ||||
\(436\) | 3.28129 | + | 3.28129i | 0.157146 | + | 0.157146i | ||||
\(437\) | −4.14043 | + | 15.4523i | −0.198064 | + | 0.739184i | ||||
\(438\) | 9.41704i | 0.449964i | ||||||||
\(439\) | 20.5573 | + | 5.50831i | 0.981146 | + | 0.262897i | 0.713527 | − | 0.700628i | \(-0.247097\pi\) |
0.267619 | + | 0.963525i | \(0.413763\pi\) | |||||||
\(440\) | 1.34257 | + | 2.36943i | 0.0640047 | + | 0.112958i | ||||
\(441\) | 4.88843 | + | 8.46701i | 0.232782 | + | 0.403191i | ||||
\(442\) | −13.2509 | − | 7.65039i | −0.630280 | − | 0.363892i | ||||
\(443\) | −7.44446 | + | 7.44446i | −0.353697 | + | 0.353697i | −0.861483 | − | 0.507786i | \(-0.830464\pi\) |
0.507786 | + | 0.861483i | \(0.330464\pi\) | |||||||
\(444\) | 5.47574 | − | 4.07903i | 0.259867 | − | 0.193582i | ||||
\(445\) | 9.19272 | + | 9.34253i | 0.435777 | + | 0.442878i | ||||
\(446\) | −9.00013 | + | 2.41158i | −0.426169 | + | 0.114192i | ||||
\(447\) | 1.75527 | − | 6.55076i | 0.0830214 | − | 0.309840i | ||||
\(448\) | −1.13508 | − | 0.304145i | −0.0536277 | − | 0.0143695i | ||||
\(449\) | 5.69808 | − | 21.2655i | 0.268909 | − | 1.00358i | −0.690905 | − | 0.722945i | \(-0.742788\pi\) |
0.959814 | − | 0.280636i | \(-0.0905455\pi\) | |||||||
\(450\) | 0.140616 | − | 8.69856i | 0.00662868 | − | 0.410054i | ||||
\(451\) | 5.80620 | + | 10.0566i | 0.273403 | + | 0.473548i | ||||
\(452\) | − | 14.0728i | − | 0.661927i | ||||||
\(453\) | −12.9677 | + | 3.47469i | −0.609277 | + | 0.163255i | ||||
\(454\) | 18.6988i | 0.877579i | ||||||||
\(455\) | 4.71069 | + | 4.78745i | 0.220840 | + | 0.224439i | ||||
\(456\) | −3.22811 | + | 5.59124i | −0.151170 | + | 0.261834i | ||||
\(457\) | 11.8491 | − | 6.84106i | 0.554276 | − | 0.320011i | −0.196569 | − | 0.980490i | \(-0.562980\pi\) |
0.750845 | + | 0.660479i | \(0.229647\pi\) | |||||||
\(458\) | − | 7.86737i | − | 0.367618i | ||||||
\(459\) | −8.24347 | − | 30.7650i | −0.384772 | − | 1.43599i | ||||
\(460\) | 5.36090 | + | 3.15316i | 0.249953 | + | 0.147017i | ||||
\(461\) | 5.21954 | + | 19.4796i | 0.243098 | + | 0.907255i | 0.974330 | + | 0.225126i | \(0.0722792\pi\) |
−0.731232 | + | 0.682129i | \(0.761054\pi\) | |||||||
\(462\) | −0.803285 | − | 1.39133i | −0.0373722 | − | 0.0647306i | ||||
\(463\) | −18.1126 | − | 31.3720i | −0.841764 | − | 1.45798i | −0.888402 | − | 0.459066i | \(-0.848184\pi\) |
0.0466378 | − | 0.998912i | \(-0.485149\pi\) | |||||||
\(464\) | 1.42418 | + | 5.31511i | 0.0661158 | + | 0.246748i | ||||
\(465\) | −5.18578 | − | 3.05016i | −0.240485 | − | 0.141448i | ||||
\(466\) | 2.58645 | + | 9.65275i | 0.119815 | + | 0.447155i | ||||
\(467\) | 10.1557i | 0.469951i | 0.972001 | + | 0.234976i | \(0.0755010\pi\) | ||||
−0.972001 | + | 0.234976i | \(0.924499\pi\) | |||||||
\(468\) | 3.85153 | − | 2.22368i | 0.178037 | − | 0.102790i | ||||
\(469\) | 6.93549 | − | 12.0126i | 0.320251 | − | 0.554691i | ||||
\(470\) | −8.25411 | − | 8.38862i | −0.380734 | − | 0.386938i | ||||
\(471\) | − | 23.3772i | − | 1.07716i | ||||||
\(472\) | 0.984278 | − | 0.263737i | 0.0453051 | − | 0.0121395i | ||||
\(473\) | − | 6.40622i | − | 0.294559i | ||||||
\(474\) | 6.73070 | + | 11.6579i | 0.309151 | + | 0.535466i | ||||
\(475\) | −20.0033 | − | 20.6607i | −0.917816 | − | 0.947977i | ||||
\(476\) | 1.82065 | − | 6.79474i | 0.0834492 | − | 0.311437i | ||||
\(477\) | −8.81809 | − | 2.36280i | −0.403752 | − | 0.108185i | ||||
\(478\) | 1.36566 | − | 5.09670i | 0.0624637 | − | 0.233118i | ||||
\(479\) | 21.2431 | − | 5.69208i | 0.970624 | − | 0.260078i | 0.261533 | − | 0.965195i | \(-0.415772\pi\) |
0.709091 | + | 0.705117i | \(0.249105\pi\) | |||||||
\(480\) | 1.76046 | + | 1.78915i | 0.0803538 | + | 0.0816633i | ||||
\(481\) | −9.63974 | + | 12.1988i | −0.439534 | + | 0.556216i | ||||
\(482\) | 17.8743 | − | 17.8743i | 0.814152 | − | 0.814152i | ||||
\(483\) | −3.17744 | − | 1.83450i | −0.144579 | − | 0.0834725i | ||||
\(484\) | −4.75833 | − | 8.24167i | −0.216288 | − | 0.374621i | ||||
\(485\) | −8.94520 | − | 15.7868i | −0.406180 | − | 0.716843i | ||||
\(486\) | 14.6020 | + | 3.91258i | 0.662358 | + | 0.177478i | ||||
\(487\) | 14.3643i | 0.650907i | 0.945558 | + | 0.325454i | \(0.105517\pi\) | ||||
−0.945558 | + | 0.325454i | \(0.894483\pi\) | |||||||
\(488\) | −0.684514 | + | 2.55464i | −0.0309865 | + | 0.115643i | ||||
\(489\) | 13.9224 | + | 13.9224i | 0.629594 | + | 0.629594i | ||||
\(490\) | 6.37006 | − | 10.8302i | 0.287770 | − | 0.489257i | ||||
\(491\) | 31.1003 | 1.40354 | 0.701769 | − | 0.712405i | \(-0.252394\pi\) | ||||
0.701769 | + | 0.712405i | \(0.252394\pi\) | |||||||
\(492\) | 7.56803 | + | 7.56803i | 0.341193 | + | 0.341193i | ||||
\(493\) | −31.8169 | + | 8.52530i | −1.43296 | + | 0.383960i | ||||
\(494\) | 3.80493 | − | 14.2002i | 0.171192 | − | 0.638897i | ||||
\(495\) | 0.0382959 | − | 4.73832i | 0.00172127 | − | 0.212972i | ||||
\(496\) | −2.31522 | + | 0.620361i | −0.103956 | + | 0.0278550i | ||||
\(497\) | 1.54925 | + | 5.78186i | 0.0694932 | + | 0.259352i | ||||
\(498\) | 9.74885 | − | 16.8855i | 0.436856 | − | 0.756658i | ||||
\(499\) | −39.9401 | − | 10.7019i | −1.78796 | − | 0.479084i | −0.795967 | − | 0.605340i | \(-0.793037\pi\) |
−0.991998 | + | 0.126257i | \(0.959704\pi\) | |||||||
\(500\) | −9.81514 | + | 5.35379i | −0.438946 | + | 0.239429i | ||||
\(501\) | −20.0049 | + | 5.36029i | −0.893752 | + | 0.239480i | ||||
\(502\) | 19.4085 | − | 5.20050i | 0.866244 | − | 0.232109i | ||||
\(503\) | 17.9163 | − | 31.0320i | 0.798850 | − | 1.38365i | −0.121516 | − | 0.992589i | \(-0.538776\pi\) |
0.920366 | − | 0.391059i | \(-0.127891\pi\) | |||||||
\(504\) | 1.44578 | + | 1.44578i | 0.0644003 | + | 0.0644003i | ||||
\(505\) | 3.78470 | + | 6.67938i | 0.168417 | + | 0.297229i | ||||
\(506\) | 2.93371 | + | 1.69378i | 0.130419 | + | 0.0752977i | ||||
\(507\) | −5.13285 | + | 5.13285i | −0.227958 | + | 0.227958i | ||||
\(508\) | −6.27339 | + | 6.27339i | −0.278337 | + | 0.278337i | ||||
\(509\) | −18.7509 | + | 32.4776i | −0.831120 | + | 1.43954i | 0.0660305 | + | 0.997818i | \(0.478967\pi\) |
−0.897151 | + | 0.441725i | \(0.854367\pi\) | |||||||
\(510\) | −10.7101 | + | 10.5383i | −0.474250 | + | 0.466646i | ||||
\(511\) | 8.53756 | − | 4.92916i | 0.377679 | − | 0.218053i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 26.5022 | − | 15.3010i | 1.17010 | − | 0.675557i | ||||
\(514\) | −6.18360 | + | 3.57011i | −0.272747 | + | 0.157471i | ||||
\(515\) | −2.21928 | − | 3.91667i | −0.0977930 | − | 0.172589i | ||||
\(516\) | −1.52818 | − | 5.70324i | −0.0672743 | − | 0.251071i | ||||
\(517\) | −4.53256 | − | 4.53256i | −0.199342 | − | 0.199342i | ||||
\(518\) | −6.56424 | − | 2.82926i | −0.288416 | − | 0.124311i | ||||
\(519\) | − | 9.08230i | − | 0.398669i | ||||||
\(520\) | −4.92650 | − | 2.89766i | −0.216041 | − | 0.127071i | ||||
\(521\) | −22.5052 | + | 12.9934i | −0.985970 | + | 0.569250i | −0.904067 | − | 0.427390i | \(-0.859433\pi\) |
−0.0819031 | + | 0.996640i | \(0.526100\pi\) | |||||||
\(522\) | 2.47798 | − | 9.24796i | 0.108458 | − | 0.404772i | ||||
\(523\) | 5.41667 | + | 9.38195i | 0.236855 | + | 0.410244i | 0.959810 | − | 0.280651i | \(-0.0905502\pi\) |
−0.722955 | + | 0.690895i | \(0.757217\pi\) | |||||||
\(524\) | −9.92545 | − | 9.92545i | −0.433595 | − | 0.433595i | ||||
\(525\) | 5.76445 | − | 3.20501i | 0.251581 | − | 0.139878i | ||||
\(526\) | 1.01586 | − | 1.01586i | 0.0442936 | − | 0.0442936i | ||||
\(527\) | −3.71355 | − | 13.8592i | −0.161765 | − | 0.603715i | ||||
\(528\) | 0.966720 | + | 0.966720i | 0.0420711 | + | 0.0420711i | ||||
\(529\) | −15.2637 | −0.663638 | ||||||||
\(530\) | 2.94484 | + | 11.3567i | 0.127916 | + | 0.493302i | ||||
\(531\) | −1.71258 | − | 0.458886i | −0.0743198 | − | 0.0199139i | ||||
\(532\) | 6.75875 | 0.293029 | ||||||||
\(533\) | −21.1058 | − | 12.1854i | −0.914193 | − | 0.527809i | ||||
\(534\) | 5.69822 | + | 3.28987i | 0.246586 | + | 0.142367i | ||||
\(535\) | −5.97377 | + | 1.54903i | −0.258268 | + | 0.0669704i | ||||
\(536\) | −3.05506 | + | 11.4016i | −0.131958 | + | 0.492475i | ||||
\(537\) | 15.1441 | − | 8.74345i | 0.653516 | − | 0.377308i | ||||
\(538\) | −14.0943 | − | 8.13735i | −0.607649 | − | 0.350826i | ||||
\(539\) | 3.42180 | − | 5.92674i | 0.147388 | − | 0.255283i | ||||
\(540\) | −2.98631 | − | 11.5166i | −0.128510 | − | 0.495594i | ||||
\(541\) | 16.4691 | − | 16.4691i | 0.708064 | − | 0.708064i | −0.258064 | − | 0.966128i | \(-0.583085\pi\) |
0.966128 | + | 0.258064i | \(0.0830846\pi\) | |||||||
\(542\) | 2.32149 | + | 4.02093i | 0.0997164 | + | 0.172714i | ||||
\(543\) | 4.09900 | + | 15.2977i | 0.175905 | + | 0.656485i | ||||
\(544\) | 5.98612i | 0.256653i | ||||||||
\(545\) | −7.39626 | + | 7.27766i | −0.316821 | + | 0.311741i | ||||
\(546\) | 2.91997 | + | 1.68585i | 0.124963 | + | 0.0721476i | ||||
\(547\) | −9.78804 | −0.418506 | −0.209253 | − | 0.977861i | \(-0.567103\pi\) | ||||
−0.209253 | + | 0.977861i | \(0.567103\pi\) | |||||||
\(548\) | −5.51812 | − | 1.47858i | −0.235722 | − | 0.0631616i | ||||
\(549\) | 3.25391 | − | 3.25391i | 0.138873 | − | 0.138873i | ||||
\(550\) | −5.32229 | + | 2.95917i | −0.226943 | + | 0.126179i | ||||
\(551\) | −15.8241 | − | 27.4082i | −0.674131 | − | 1.16763i | ||||
\(552\) | 3.01583 | + | 0.808089i | 0.128362 | + | 0.0343945i | ||||
\(553\) | 7.04610 | − | 12.2042i | 0.299631 | − | 0.518975i | ||||
\(554\) | −10.4474 | −0.443868 | ||||||||
\(555\) | 9.02173 | + | 12.3175i | 0.382951 | + | 0.522847i | ||||
\(556\) | 13.1651 | 0.558324 | ||||||||
\(557\) | 15.5856 | − | 26.9950i | 0.660383 | − | 1.14382i | −0.320133 | − | 0.947373i | \(-0.603727\pi\) |
0.980515 | − | 0.196443i | \(-0.0629392\pi\) | |||||||
\(558\) | 4.02834 | + | 1.07939i | 0.170533 | + | 0.0456942i | ||||
\(559\) | 6.72235 | + | 11.6434i | 0.284325 | + | 0.492465i | ||||
\(560\) | 0.700579 | − | 2.53254i | 0.0296049 | − | 0.107020i | ||||
\(561\) | −5.78690 | + | 5.78690i | −0.244323 | + | 0.244323i | ||||
\(562\) | −9.66505 | − | 2.58974i | −0.407696 | − | 0.109242i | ||||
\(563\) | −18.1010 | −0.762866 | −0.381433 | − | 0.924397i | \(-0.624569\pi\) | ||||
−0.381433 | + | 0.924397i | \(0.624569\pi\) | |||||||
\(564\) | −5.11641 | − | 2.95396i | −0.215440 | − | 0.124384i | ||||
\(565\) | 31.4666 | + | 0.254319i | 1.32381 | + | 0.0106993i | ||||
\(566\) | − | 22.2426i | − | 0.934927i | ||||||
\(567\) | 0.228959 | + | 0.854485i | 0.00961535 | + | 0.0358850i | ||||
\(568\) | −2.54689 | − | 4.41134i | −0.106865 | − | 0.185096i | ||||
\(569\) | −1.36824 | + | 1.36824i | −0.0573595 | + | 0.0573595i | −0.735205 | − | 0.677845i | \(-0.762914\pi\) |
0.677845 | + | 0.735205i | \(0.262914\pi\) | |||||||
\(570\) | −12.4437 | − | 7.31907i | −0.521207 | − | 0.306562i | ||||
\(571\) | 10.9169 | − | 18.9085i | 0.456856 | − | 0.791298i | −0.541937 | − | 0.840419i | \(-0.682309\pi\) |
0.998793 | + | 0.0491215i | \(0.0156421\pi\) | |||||||
\(572\) | −2.69600 | − | 1.55653i | −0.112725 | − | 0.0650819i | ||||
\(573\) | −4.58949 | + | 2.64974i | −0.191729 | + | 0.110695i | ||||
\(574\) | 2.89990 | − | 10.8226i | 0.121039 | − | 0.451725i | ||||
\(575\) | −7.14732 | + | 11.9300i | −0.298064 | + | 0.497513i | ||||
\(576\) | −1.50683 | − | 0.869970i | −0.0627846 | − | 0.0362487i | ||||
\(577\) | 24.9799 | + | 14.4221i | 1.03993 | + | 0.600402i | 0.919812 | − | 0.392359i | \(-0.128341\pi\) |
0.120114 | + | 0.992760i | \(0.461674\pi\) | |||||||
\(578\) | −18.8336 | −0.783375 | ||||||||
\(579\) | −5.76902 | − | 1.54581i | −0.239752 | − | 0.0642415i | ||||
\(580\) | −11.9103 | + | 3.08840i | −0.494548 | + | 0.128239i | ||||
\(581\) | −20.4114 | −0.846806 | ||||||||
\(582\) | −6.44099 | − | 6.44099i | −0.266987 | − | 0.266987i | ||||
\(583\) | 1.65391 | + | 6.17249i | 0.0684981 | + | 0.255638i | ||||
\(584\) | −5.93204 | + | 5.93204i | −0.245469 | + | 0.245469i | ||||
\(585\) | 4.90254 | + | 8.65219i | 0.202695 | + | 0.357724i | ||||
\(586\) | 21.4389 | + | 21.4389i | 0.885632 | + | 0.885632i | ||||
\(587\) | −3.43481 | − | 5.94926i | −0.141770 | − | 0.245552i | 0.786393 | − | 0.617726i | \(-0.211946\pi\) |
−0.928163 | + | 0.372174i | \(0.878613\pi\) | |||||||
\(588\) | 1.63252 | − | 6.09263i | 0.0673238 | − | 0.251256i | ||||
\(589\) | 11.9388 | − | 6.89287i | 0.491930 | − | 0.284016i | ||||
\(590\) | 0.571926 | + | 2.20561i | 0.0235458 | + | 0.0908034i | ||||
\(591\) | 23.0029i | 0.946211i | ||||||||
\(592\) | 6.01880 | + | 0.879826i | 0.247371 | + | 0.0361606i | ||||
\(593\) | 29.5909 | + | 29.5909i | 1.21515 | + | 1.21515i | 0.969309 | + | 0.245845i | \(0.0790656\pi\) |
0.245845 | + | 0.969309i | \(0.420934\pi\) | |||||||
\(594\) | −1.67720 | − | 6.25939i | −0.0688163 | − | 0.256826i | ||||
\(595\) | 15.1601 | + | 4.19375i | 0.621504 | + | 0.171927i | ||||
\(596\) | 5.23218 | − | 3.02080i | 0.214318 | − | 0.123737i | ||||
\(597\) | −26.3833 | + | 15.2324i | −1.07980 | + | 0.623420i | ||||
\(598\) | −7.10945 | −0.290727 | ||||||||
\(599\) | 23.9589 | − | 13.8326i | 0.978932 | − | 0.565187i | 0.0769846 | − | 0.997032i | \(-0.475471\pi\) |
0.901948 | + | 0.431846i | \(0.142137\pi\) | |||||||
\(600\) | −4.03235 | + | 3.90406i | −0.164620 | + | 0.159382i | ||||
\(601\) | −19.3400 | + | 33.4979i | −0.788896 | + | 1.36641i | 0.137748 | + | 0.990467i | \(0.456014\pi\) |
−0.926644 | + | 0.375941i | \(0.877320\pi\) | |||||||
\(602\) | −4.37070 | + | 4.37070i | −0.178137 | + | 0.178137i | ||||
\(603\) | 14.5225 | − | 14.5225i | 0.591403 | − | 0.591403i | ||||
\(604\) | −10.3575 | − | 5.97991i | −0.421441 | − | 0.243319i | ||||
\(605\) | 18.5143 | − | 10.4907i | 0.752714 | − | 0.426506i | ||||
\(606\) | 2.72517 | + | 2.72517i | 0.110703 | + | 0.110703i | ||||
\(607\) | 7.52838 | − | 13.0395i | 0.305567 | − | 0.529258i | −0.671820 | − | 0.740714i | \(-0.734487\pi\) |
0.977387 | + | 0.211456i | \(0.0678206\pi\) | |||||||
\(608\) | −5.55553 | + | 1.48860i | −0.225307 | + | 0.0603707i | ||||
\(609\) | 7.01119 | − | 1.87864i | 0.284108 | − | 0.0761265i | ||||
\(610\) | −5.69980 | − | 1.57674i | −0.230778 | − | 0.0638402i | ||||
\(611\) | 12.9943 | + | 3.48180i | 0.525691 | + | 0.140859i | ||||
\(612\) | 5.20774 | − | 9.02007i | 0.210510 | − | 0.364615i | ||||
\(613\) | −4.39816 | − | 16.4142i | −0.177640 | − | 0.662962i | −0.996087 | − | 0.0883795i | \(-0.971831\pi\) |
0.818447 | − | 0.574582i | \(-0.194835\pi\) | |||||||
\(614\) | −2.35268 | + | 0.630400i | −0.0949466 | + | 0.0254409i | ||||
\(615\) | −17.0588 | + | 16.7853i | −0.687879 | + | 0.676849i | ||||
\(616\) | 0.370425 | − | 1.38244i | 0.0149248 | − | 0.0557003i | ||||
\(617\) | −5.91477 | + | 1.58486i | −0.238120 | + | 0.0638040i | −0.375905 | − | 0.926658i | \(-0.622668\pi\) |
0.137786 | + | 0.990462i | \(0.456002\pi\) | |||||||
\(618\) | −1.59799 | − | 1.59799i | −0.0642806 | − | 0.0642806i | ||||
\(619\) | −41.0045 | −1.64811 | −0.824055 | − | 0.566510i | \(-0.808293\pi\) | ||||
−0.824055 | + | 0.566510i | \(0.808293\pi\) | |||||||
\(620\) | −1.34528 | − | 5.18802i | −0.0540279 | − | 0.208356i | ||||
\(621\) | −10.4646 | − | 10.4646i | −0.419928 | − | 0.419928i | ||||
\(622\) | 6.61505 | − | 24.6877i | 0.265239 | − | 0.989887i | ||||
\(623\) | − | 6.88806i | − | 0.275964i | ||||||
\(624\) | −2.77146 | − | 0.742610i | −0.110947 | − | 0.0297282i | ||||
\(625\) | −11.7937 | − | 22.0434i | −0.471747 | − | 0.881734i | ||||
\(626\) | 4.40247 | + | 7.62529i | 0.175958 | + | 0.304768i | ||||
\(627\) | −6.80971 | − | 3.93159i | −0.271954 | − | 0.157012i | ||||
\(628\) | 14.7259 | − | 14.7259i | 0.587627 | − | 0.587627i | ||||
\(629\) | −5.26674 | + | 36.0292i | −0.209999 | + | 1.43658i | ||||
\(630\) | −3.25889 | + | 3.20664i | −0.129837 | + | 0.127755i | ||||
\(631\) | 38.4299 | − | 10.2973i | 1.52987 | − | 0.409927i | 0.606893 | − | 0.794783i | \(-0.292416\pi\) |
0.922977 | + | 0.384856i | \(0.125749\pi\) | |||||||
\(632\) | −3.10378 | + | 11.5835i | −0.123462 | + | 0.460765i | ||||
\(633\) | 5.86297 | + | 1.57098i | 0.233032 | + | 0.0624408i | ||||
\(634\) | −0.155442 | + | 0.580119i | −0.00617341 | + | 0.0230395i | ||||
\(635\) | −13.9139 | − | 14.1406i | −0.552156 | − | 0.561154i | ||||
\(636\) | 2.94484 | + | 5.10062i | 0.116771 | + | 0.202253i | ||||
\(637\) | 14.3626i | 0.569068i | ||||||||
\(638\) | −6.47339 | + | 1.73454i | −0.256284 | + | 0.0686711i | ||||
\(639\) | 8.86286i | 0.350609i | ||||||||
\(640\) | −0.0180717 | + | 2.23599i | −0.000714346 | + | 0.0883855i | ||||
\(641\) | −20.2149 | + | 35.0133i | −0.798442 | + | 1.38294i | 0.122188 | + | 0.992507i | \(0.461009\pi\) |
−0.920630 | + | 0.390436i | \(0.872324\pi\) | |||||||
\(642\) | −2.68300 | + | 1.54903i | −0.105890 | + | 0.0611353i | ||||
\(643\) | 40.2683i | 1.58803i | 0.607901 | + | 0.794013i | \(0.292012\pi\) | ||||
−0.607901 | + | 0.794013i | \(0.707988\pi\) | |||||||
\(644\) | −0.845955 | − | 3.15715i | −0.0333353 | − | 0.124409i | ||||
\(645\) | 12.7800 | − | 3.31393i | 0.503213 | − | 0.130486i | ||||
\(646\) | −8.91094 | − | 33.2561i | −0.350596 | − | 1.30844i | ||||
\(647\) | −4.40199 | − | 7.62448i | −0.173060 | − | 0.299749i | 0.766428 | − | 0.642330i | \(-0.222032\pi\) |
−0.939488 | + | 0.342581i | \(0.888699\pi\) | |||||||
\(648\) | −0.376397 | − | 0.651939i | −0.0147863 | − | 0.0256106i | ||||
\(649\) | 0.321211 | + | 1.19878i | 0.0126086 | + | 0.0470560i | ||||
\(650\) | 6.56817 | − | 10.9633i | 0.257625 | − | 0.430015i | ||||
\(651\) | 0.818322 | + | 3.05402i | 0.0320726 | + | 0.119696i | ||||
\(652\) | 17.5402i | 0.686927i | ||||||||
\(653\) | 41.2518 | − | 23.8168i | 1.61431 | − | 0.932022i | 0.625953 | − | 0.779861i | \(-0.284710\pi\) |
0.988356 | − | 0.152161i | \(-0.0486231\pi\) | |||||||
\(654\) | −2.60451 | + | 4.51114i | −0.101844 | + | 0.176400i | ||||
\(655\) | 22.3726 | − | 22.0139i | 0.874171 | − | 0.860154i | ||||
\(656\) | 9.53459i | 0.372263i | ||||||||
\(657\) | 14.0993 | − | 3.77789i | 0.550065 | − | 0.147389i | ||||
\(658\) | 6.18476i | 0.241107i | ||||||||
\(659\) | 0.621788 | + | 1.07697i | 0.0242214 | + | 0.0419528i | 0.877882 | − | 0.478877i | \(-0.158956\pi\) |
−0.853661 | + | 0.520830i | \(0.825623\pi\) | |||||||
\(660\) | −2.17905 | + | 2.14411i | −0.0848195 | + | 0.0834594i | ||||
\(661\) | 9.85964 | − | 36.7967i | 0.383495 | − | 1.43122i | −0.457030 | − | 0.889451i | \(-0.651087\pi\) |
0.840525 | − | 0.541773i | \(-0.182247\pi\) | |||||||
\(662\) | 8.90659 | + | 2.38651i | 0.346164 | + | 0.0927545i | ||||
\(663\) | 4.44535 | − | 16.5903i | 0.172643 | − | 0.644313i | ||||
\(664\) | 16.7777 | − | 4.49556i | 0.651100 | − | 0.174462i | ||||
\(665\) | −0.122142 | + | 15.1125i | −0.00473646 | + | 0.586039i | ||||
\(666\) | −8.30389 | − | 6.56192i | −0.321769 | − | 0.254269i | ||||
\(667\) | −10.8223 | + | 10.8223i | −0.419042 | + | 0.419042i | ||||
\(668\) | −15.9782 | − | 9.22500i | −0.618214 | − | 0.356926i | ||||
\(669\) | −5.22963 | − | 9.05798i | −0.202189 | − | 0.350202i | ||||
\(670\) | −25.4388 | − | 7.03714i | −0.982785 | − | 0.271868i | ||||
\(671\) | −3.11136 | − | 0.833686i | −0.120113 | − | 0.0321841i | ||||
\(672\) | − | 1.31911i | − | 0.0508856i | ||||||
\(673\) | −0.739996 | + | 2.76170i | −0.0285248 | + | 0.106456i | −0.978721 | − | 0.205198i | \(-0.934216\pi\) |
0.950196 | + | 0.311654i | \(0.100883\pi\) | |||||||
\(674\) | 16.6530 | + | 16.6530i | 0.641450 | + | 0.641450i | ||||
\(675\) | 25.8049 | − | 6.46924i | 0.993232 | − | 0.249001i | ||||
\(676\) | −6.46663 | −0.248717 | ||||||||
\(677\) | 12.5546 | + | 12.5546i | 0.482511 | + | 0.482511i | 0.905933 | − | 0.423422i | \(-0.139171\pi\) |
−0.423422 | + | 0.905933i | \(0.639171\pi\) | |||||||
\(678\) | 15.2588 | − | 4.08857i | 0.586009 | − | 0.157021i | ||||
\(679\) | −2.46804 | + | 9.21084i | −0.0947146 | + | 0.353480i | ||||
\(680\) | −13.3849 | − | 0.108179i | −0.513289 | − | 0.00414848i | ||||
\(681\) | −20.2747 | + | 5.43258i | −0.776927 | + | 0.208177i | ||||
\(682\) | −0.755552 | − | 2.81976i | −0.0289316 | − | 0.107974i | ||||
\(683\) | 0.0575981 | − | 0.0997628i | 0.00220393 | − | 0.00381732i | −0.864921 | − | 0.501907i | \(-0.832632\pi\) |
0.867125 | + | 0.498090i | \(0.165965\pi\) | |||||||
\(684\) | 9.66629 | + | 2.59008i | 0.369600 | + | 0.0990340i | ||||
\(685\) | 3.40581 | − | 12.3118i | 0.130129 | − | 0.470409i | ||||
\(686\) | −14.3237 | + | 3.83803i | −0.546882 | + | 0.146537i | ||||
\(687\) | 8.53040 | − | 2.28571i | 0.325455 | − | 0.0872054i | ||||
\(688\) | 2.62998 | − | 4.55526i | 0.100267 | − | 0.173668i | ||||
\(689\) | −9.48309 | − | 9.48309i | −0.361277 | − | 0.361277i | ||||
\(690\) | −1.86138 | + | 6.72877i | −0.0708617 | + | 0.256160i | ||||
\(691\) | 23.9338 | + | 13.8182i | 0.910486 | + | 0.525669i | 0.880587 | − | 0.473884i | \(-0.157148\pi\) |
0.0298983 | + | 0.999553i | \(0.490482\pi\) | |||||||
\(692\) | 5.72117 | − | 5.72117i | 0.217486 | − | 0.217486i | ||||
\(693\) | −1.76085 | + | 1.76085i | −0.0668893 | + | 0.0668893i | ||||
\(694\) | −1.03361 | + | 1.79026i | −0.0392352 | + | 0.0679573i | ||||
\(695\) | −0.237915 | + | 29.4371i | −0.00902464 | + | 1.11661i | ||||
\(696\) | −5.34927 | + | 3.08840i | −0.202764 | + | 0.117066i | ||||
\(697\) | −57.0752 | −2.16188 | ||||||||
\(698\) | −27.1332 | + | 15.6654i | −1.02701 | + | 0.592944i | ||||
\(699\) | −9.71479 | + | 5.60884i | −0.367447 | + | 0.212146i | ||||
\(700\) | 5.65010 | + | 1.61226i | 0.213554 | + | 0.0609376i | ||||
\(701\) | 12.4476 | + | 46.4551i | 0.470139 | + | 1.75458i | 0.639262 | + | 0.768989i | \(0.279240\pi\) |
−0.169122 | + | 0.985595i | \(0.554093\pi\) | |||||||
\(702\) | 9.61661 | + | 9.61661i | 0.362956 | + | 0.362956i | ||||
\(703\) | −34.7473 | + | 4.07168i | −1.31052 | + | 0.153566i | ||||
\(704\) | 1.21792i | 0.0459022i | ||||||||
\(705\) | 6.69750 | − | 11.3869i | 0.252243 | − | 0.428855i | ||||
\(706\) | −3.27725 | + | 1.89212i | −0.123341 | + | 0.0712108i | ||||
\(707\) | 1.04422 | − | 3.89710i | 0.0392721 | − | 0.146565i | ||||
\(708\) | 0.571926 | + | 0.990605i | 0.0214943 | + | 0.0372292i | ||||
\(709\) | 3.22825 | + | 3.22825i | 0.121239 | + | 0.121239i | 0.765123 | − | 0.643884i | \(-0.222678\pi\) |
−0.643884 | + | 0.765123i | \(0.722678\pi\) | |||||||
\(710\) | 9.90976 | − | 5.61511i | 0.371907 | − | 0.210731i | ||||
\(711\) | 14.7541 | − | 14.7541i | 0.553323 | − | 0.553323i | ||||
\(712\) | 1.51708 | + | 5.66183i | 0.0568550 | + | 0.212186i | ||||
\(713\) | −4.71411 | − | 4.71411i | −0.176545 | − | 0.176545i | ||||
\(714\) | 7.89633 | 0.295513 | ||||||||
\(715\) | 3.52912 | − | 6.00010i | 0.131982 | − | 0.224391i | ||||
\(716\) | 15.0474 | + | 4.03193i | 0.562347 | + | 0.150680i | ||||
\(717\) | 5.92299 | 0.221198 | ||||||||
\(718\) | −10.2151 | − | 5.89768i | −0.381223 | − | 0.220099i | ||||
\(719\) | 19.6463 | + | 11.3428i | 0.732682 | + | 0.423014i | 0.819402 | − | 0.573219i | \(-0.194305\pi\) |
−0.0867206 | + | 0.996233i | \(0.527639\pi\) | |||||||
\(720\) | 1.97248 | − | 3.35355i | 0.0735099 | − | 0.124979i | ||||
\(721\) | −0.612313 | + | 2.28518i | −0.0228037 | + | 0.0851047i | ||||
\(722\) | 12.1936 | − | 7.03995i | 0.453797 | − | 0.262000i | ||||
\(723\) | 24.5737 | + | 14.1876i | 0.913905 | + | 0.527643i | ||||
\(724\) | −7.05432 | + | 12.2184i | −0.262172 | + | 0.454095i | ||||
\(725\) | −6.69042 | − | 26.6872i | −0.248476 | − | 0.991136i | ||||
\(726\) | 7.55380 | − | 7.55380i | 0.280348 | − | 0.280348i | ||||
\(727\) | 17.7121 | + | 30.6783i | 0.656907 | + | 1.13780i | 0.981412 | + | 0.191912i | \(0.0614689\pi\) |
−0.324505 | + | 0.945884i | \(0.605198\pi\) | |||||||
\(728\) | 0.777408 | + | 2.90133i | 0.0288126 | + | 0.107530i | ||||
\(729\) | 19.2277i | 0.712135i | ||||||||
\(730\) | −13.1568 | − | 13.3712i | −0.486955 | − | 0.494891i | ||||
\(731\) | 27.2683 | + | 15.7434i | 1.00855 | + | 0.582289i | ||||
\(732\) | −2.96881 | −0.109730 | ||||||||
\(733\) | −24.4644 | − | 6.55522i | −0.903614 | − | 0.242123i | −0.223047 | − | 0.974808i | \(-0.571600\pi\) |
−0.680568 | + | 0.732685i | \(0.738267\pi\) | |||||||
\(734\) | −10.2134 | + | 10.2134i | −0.376983 | + | 0.376983i | ||||
\(735\) | 13.5936 | + | 3.76040i | 0.501407 | + | 0.138704i | ||||
\(736\) | 1.39071 | + | 2.40878i | 0.0512623 | + | 0.0887889i | ||||
\(737\) | −13.8863 | − | 3.72082i | −0.511508 | − | 0.137058i | ||||
\(738\) | 8.29480 | − | 14.3670i | 0.305336 | − | 0.528857i | ||||
\(739\) | −30.1256 | −1.10819 | −0.554094 | − | 0.832454i | \(-0.686935\pi\) | ||||
−0.554094 | + | 0.832454i | \(0.686935\pi\) | |||||||
\(740\) | −2.07606 | + | 13.4421i | −0.0763174 | + | 0.494141i | ||||
\(741\) | 16.5024 | 0.606230 | ||||||||
\(742\) | 3.08284 | − | 5.33963i | 0.113175 | − | 0.196024i | ||||
\(743\) | 37.3562 | + | 10.0096i | 1.37047 | + | 0.367215i | 0.867649 | − | 0.497178i | \(-0.165630\pi\) |
0.502817 | + | 0.864393i | \(0.332297\pi\) | |||||||
\(744\) | −1.34528 | − | 2.33010i | −0.0493205 | − | 0.0854256i | ||||
\(745\) | 6.65994 | + | 11.7537i | 0.244001 | + | 0.430623i | ||||
\(746\) | −15.7220 | + | 15.7220i | −0.575623 | + | 0.575623i | ||||
\(747\) | −29.1921 | − | 7.82200i | −1.06808 | − | 0.286192i | ||||
\(748\) | −7.29063 | −0.266572 | ||||||||
\(749\) | 2.80872 | + | 1.62162i | 0.102628 | + | 0.0592526i | ||||
\(750\) | −8.65658 | − | 9.08687i | −0.316094 | − | 0.331806i | ||||
\(751\) | − | 21.9359i | − | 0.800452i | −0.916416 | − | 0.400226i | \(-0.868932\pi\) | ||
0.916416 | − | 0.400226i | \(-0.131068\pi\) | |||||||
\(752\) | −1.36218 | − | 5.08373i | −0.0496737 | − | 0.185385i | ||||
\(753\) | 11.2775 | + | 19.5333i | 0.410976 | + | 0.711832i | ||||
\(754\) | 9.94539 | − | 9.94539i | 0.362190 | − | 0.362190i | ||||
\(755\) | 13.5582 | − | 23.0513i | 0.493434 | − | 0.838921i | ||||
\(756\) | −3.12624 | + | 5.41481i | −0.113700 | + | 0.196935i | ||||
\(757\) | 32.6038 | + | 18.8238i | 1.18501 | + | 0.684163i | 0.957167 | − | 0.289536i | \(-0.0935009\pi\) |
0.227838 | + | 0.973699i | \(0.426834\pi\) | |||||||
\(758\) | 24.8895 | − | 14.3700i | 0.904029 | − | 0.521941i | ||||
\(759\) | −0.984190 | + | 3.67305i | −0.0357238 | + | 0.133323i | ||||
\(760\) | −3.22811 | − | 12.4490i | −0.117096 | − | 0.451574i | ||||
\(761\) | −14.3452 | − | 8.28219i | −0.520012 | − | 0.300229i | 0.216927 | − | 0.976188i | \(-0.430396\pi\) |
−0.736940 | + | 0.675959i | \(0.763730\pi\) | |||||||
\(762\) | −8.62469 | − | 4.97947i | −0.312440 | − | 0.180387i | ||||
\(763\) | 5.45311 | 0.197416 | ||||||||
\(764\) | −4.56018 | − | 1.22190i | −0.164981 | − | 0.0442066i | ||||
\(765\) | 20.0747 | + | 11.8075i | 0.725803 | + | 0.426901i | ||||
\(766\) | 20.3077 | 0.733747 | ||||||||
\(767\) | −1.84174 | − | 1.84174i | −0.0665013 | − | 0.0665013i | ||||
\(768\) | 0.290531 | + | 1.08428i | 0.0104836 | + | 0.0391254i | ||||
\(769\) | 27.7261 | − | 27.7261i | 0.999827 | − | 0.999827i | −0.000172997 | − | 1.00000i | \(-0.500055\pi\) |
1.00000 | 0.000172997i | \(5.50666e-5\pi\) | ||||||||
\(770\) | 3.08445 | + | 0.853251i | 0.111156 | + | 0.0307490i | ||||
\(771\) | −5.66750 | − | 5.66750i | −0.204110 | − | 0.204110i | ||||
\(772\) | −2.66031 | − | 4.60780i | −0.0957468 | − | 0.165838i | ||||
\(773\) | −8.96576 | + | 33.4607i | −0.322476 | + | 1.20350i | 0.594349 | + | 0.804207i | \(0.297410\pi\) |
−0.916825 | + | 0.399290i | \(0.869257\pi\) | |||||||
\(774\) | −7.92587 | + | 4.57600i | −0.284889 | + | 0.164481i | ||||
\(775\) | 11.6247 | − | 2.91429i | 0.417572 | − | 0.104684i | ||||
\(776\) | − | 8.11468i | − | 0.291300i | ||||||
\(777\) | 1.16058 | − | 7.93943i | 0.0416357 | − | 0.284826i | ||||
\(778\) | 19.8049 | + | 19.8049i | 0.710041 | + | 0.710041i | ||||
\(779\) | −14.1932 | − | 52.9698i | −0.508524 | − | 1.89784i | ||||
\(780\) | 1.71056 | − | 6.18354i | 0.0612477 | − | 0.221406i | ||||
\(781\) | 5.37268 | − | 3.10192i | 0.192249 | − | 0.110995i | ||||
\(782\) | −14.4193 | + | 8.32496i | −0.515632 | + | 0.297700i | ||||
\(783\) | 29.2777 | 1.04630 | ||||||||
\(784\) | 4.86627 | − | 2.80954i | 0.173795 | − | 0.100341i | ||||
\(785\) | 32.6609 | + | 33.1932i | 1.16572 | + | 1.18471i | ||||
\(786\) | 7.87827 | − | 13.6456i | 0.281009 | − | 0.486721i | ||||
\(787\) | −34.9771 | + | 34.9771i | −1.24680 | + | 1.24680i | −0.289675 | + | 0.957125i | \(0.593547\pi\) |
−0.957125 | + | 0.289675i | \(0.906453\pi\) | |||||||
\(788\) | −14.4901 | + | 14.4901i | −0.516188 | + | 0.516188i | ||||
\(789\) | 1.39661 | + | 0.806333i | 0.0497206 | + | 0.0287062i | ||||
\(790\) | −25.8445 | − | 7.14937i | −0.919505 | − | 0.254363i | ||||
\(791\) | −11.6936 | − | 11.6936i | −0.415777 | − | 0.415777i | ||||
\(792\) | 1.05956 | − | 1.83521i | 0.0376497 | − | 0.0652112i | ||||
\(793\) | 6.52978 | − | 1.74965i | 0.231879 | − | 0.0621319i | ||||
\(794\) | −5.82883 | + | 1.56183i | −0.206857 | + | 0.0554272i | ||||
\(795\) | −11.4582 | + | 6.49248i | −0.406380 | + | 0.230265i | ||||
\(796\) | −26.2148 | − | 7.02422i | −0.929158 | − | 0.248967i | ||||
\(797\) | −13.6903 | + | 23.7124i | −0.484937 | + | 0.839936i | −0.999850 | − | 0.0173068i | \(-0.994491\pi\) |
0.514913 | + | 0.857242i | \(0.327824\pi\) | |||||||
\(798\) | 1.96362 | + | 7.32834i | 0.0695115 | + | 0.259420i | ||||
\(799\) | 30.4318 | − | 8.15418i | 1.07660 | − | 0.288474i | ||||
\(800\) | −4.99935 | − | 0.0808164i | −0.176754 | − | 0.00285729i | ||||
\(801\) | 2.63963 | − | 9.85123i | 0.0932667 | − | 0.348076i | ||||
\(802\) | −19.0103 | + | 5.09379i | −0.671277 | + | 0.179868i | ||||
\(803\) | −7.22477 | − | 7.22477i | −0.254956 | − | 0.254956i | ||||
\(804\) | −13.2501 | −0.467294 | ||||||||
\(805\) | 7.07466 | − | 1.83450i | 0.249349 | − | 0.0646575i | ||||
\(806\) | 4.33213 | + | 4.33213i | 0.152593 | + | 0.152593i | ||||
\(807\) | 4.72830 | − | 17.6463i | 0.166444 | − | 0.621178i | ||||
\(808\) | 3.43331i | 0.120783i | ||||||||
\(809\) | −22.4939 | − | 6.02723i | −0.790845 | − | 0.211906i | −0.159284 | − | 0.987233i | \(-0.550919\pi\) |
−0.631561 | + | 0.775327i | \(0.717585\pi\) | |||||||
\(810\) | 1.46454 | − | 0.829841i | 0.0514585 | − | 0.0291576i | ||||
\(811\) | −12.6834 | − | 21.9683i | −0.445375 | − | 0.771412i | 0.552704 | − | 0.833378i | \(-0.313596\pi\) |
−0.998078 | + | 0.0619664i | \(0.980263\pi\) | |||||||
\(812\) | 5.59993 | + | 3.23312i | 0.196519 | + | 0.113460i | ||||
\(813\) | −3.68533 | + | 3.68533i | −0.129250 | + | 0.129250i | ||||
\(814\) | −1.07156 | + | 7.33043i | −0.0375582 | + | 0.256931i | ||||
\(815\) | −39.2198 | − | 0.316981i | −1.37381 | − | 0.0111033i | ||||
\(816\) | −6.49060 | + | 1.73915i | −0.227216 | + | 0.0608825i | ||||
\(817\) | −7.82998 | + | 29.2219i | −0.273936 | + | 1.02234i | ||||
\(818\) | −11.0608 | − | 2.96372i | −0.386731 | − | 0.103624i | ||||
\(819\) | 1.35264 | − | 5.04813i | 0.0472651 | − | 0.176396i | ||||
\(820\) | −21.3193 | − | 0.172306i | −0.744502 | − | 0.00601719i | ||||
\(821\) | −17.8001 | − | 30.8307i | −0.621228 | − | 1.07600i | −0.989257 | − | 0.146184i | \(-0.953301\pi\) |
0.368030 | − | 0.929814i | \(-0.380032\pi\) | |||||||
\(822\) | − | 6.41273i | − | 0.223670i | ||||||
\(823\) | −37.1585 | + | 9.95659i | −1.29526 | + | 0.347065i | −0.839657 | − | 0.543117i | \(-0.817244\pi\) |
−0.455606 | + | 0.890182i | \(0.650577\pi\) | |||||||
\(824\) | − | 2.01323i | − | 0.0701342i | ||||||
\(825\) | −4.75484 | − | 4.91110i | −0.165542 | − | 0.170982i | ||||
\(826\) | 0.598726 | − | 1.03702i | 0.0208323 | − | 0.0360827i | ||||
\(827\) | −29.0772 | + | 16.7878i | −1.01111 | + | 0.583767i | −0.911518 | − | 0.411260i | \(-0.865089\pi\) |
−0.0995970 | + | 0.995028i | \(0.531755\pi\) | |||||||
\(828\) | − | 4.83951i | − | 0.168185i | ||||||
\(829\) | 5.93589 | + | 22.1530i | 0.206162 | + | 0.769407i | 0.989092 | + | 0.147297i | \(0.0470575\pi\) |
−0.782930 | + | 0.622109i | \(0.786276\pi\) | |||||||
\(830\) | 9.74885 | + | 37.5960i | 0.338388 | + | 1.30498i | ||||
\(831\) | −3.03529 | − | 11.3279i | −0.105293 | − | 0.392960i | ||||
\(832\) | −1.27802 | − | 2.21360i | −0.0443075 | − | 0.0767428i | ||||
\(833\) | 16.8182 | + | 29.1300i | 0.582717 | + | 1.00930i | ||||
\(834\) | 3.82486 | + | 14.2746i | 0.132444 | + | 0.494288i | ||||
\(835\) | 20.9158 | − | 35.5604i | 0.723821 | − | 1.23062i | ||||
\(836\) | −1.81300 | − | 6.76622i | −0.0627040 | − | 0.234014i | ||||
\(837\) | 12.7531i | 0.440812i | ||||||||
\(838\) | 2.86575 | − | 1.65454i | 0.0989955 | − | 0.0571551i | ||||
\(839\) | −4.80040 | + | 8.31453i | −0.165728 | + | 0.287050i | −0.936914 | − | 0.349561i | \(-0.886331\pi\) |
0.771185 | + | 0.636611i | \(0.219664\pi\) | |||||||
\(840\) | 2.94952 | + | 0.0238385i | 0.101768 | + | 0.000822505i | ||||
\(841\) | − | 1.27865i | − | 0.0440914i | ||||||
\(842\) | 24.8778 | − | 6.66598i | 0.857344 | − | 0.229725i | ||||
\(843\) | − | 11.2320i | − | 0.386850i | ||||||
\(844\) | 2.70364 | + | 4.68284i | 0.0930630 | + | 0.161190i | ||||
\(845\) | 0.116863 | − | 14.4594i | 0.00402021 | − | 0.497417i | ||||
\(846\) | −2.37011 | + | 8.84538i | −0.0814862 | + | 0.304111i | ||||
\(847\) | −10.8022 | − | 2.89444i | −0.371168 | − | 0.0994542i | ||||
\(848\) | −1.35798 | + | 5.06804i | −0.0466332 | + | 0.174037i | ||||
\(849\) | 24.1171 | − | 6.46216i | 0.827697 | − | 0.221781i | ||||
\(850\) | 0.483776 | − | 29.9267i | 0.0165934 | − | 1.02648i | ||||
\(851\) | 6.25110 | + | 15.7216i | 0.214285 | + | 0.538928i | ||||
\(852\) | 4.04316 | − | 4.04316i | 0.138516 | − | 0.138516i | ||||
\(853\) | 28.5619 | + | 16.4902i | 0.977939 | + | 0.564614i | 0.901647 | − | 0.432472i | \(-0.142359\pi\) |
0.0762921 | + | 0.997086i | \(0.475692\pi\) | |||||||
\(854\) | 1.55396 | + | 2.69154i | 0.0531755 | + | 0.0921027i | ||||
\(855\) | −5.96608 | + | 21.5670i | −0.204036 | + | 0.737575i | ||||
\(856\) | −2.66586 | − | 0.714316i | −0.0911173 | − | 0.0244148i | ||||
\(857\) | 17.2326i | 0.588656i | 0.955705 | + | 0.294328i | \(0.0950958\pi\) | ||||
−0.955705 | + | 0.294328i | \(0.904904\pi\) | |||||||
\(858\) | 0.904442 | − | 3.37542i | 0.0308771 | − | 0.115235i | ||||
\(859\) | 3.66697 | + | 3.66697i | 0.125115 | + | 0.125115i | 0.766892 | − | 0.641776i | \(-0.221802\pi\) |
−0.641776 | + | 0.766892i | \(0.721802\pi\) | |||||||
\(860\) | 10.1380 | + | 5.96294i | 0.345703 | + | 0.203335i | ||||
\(861\) | 12.5771 | 0.428628 | ||||||||
\(862\) | 15.5889 | + | 15.5889i | 0.530962 | + | 0.530962i | ||||
\(863\) | −2.90337 | + | 0.777957i | −0.0988320 | + | 0.0264820i | −0.307896 | − | 0.951420i | \(-0.599625\pi\) |
0.209064 | + | 0.977902i | \(0.432958\pi\) | |||||||
\(864\) | 1.37710 | − | 5.13940i | 0.0468498 | − | 0.174846i | ||||
\(865\) | 12.6891 | + | 12.8959i | 0.431443 | + | 0.438474i | ||||
\(866\) | 10.9215 | − | 2.92640i | 0.371127 | − | 0.0994431i | ||||
\(867\) | −5.47174 | − | 20.4208i | −0.185830 | − | 0.693527i | ||||
\(868\) | −1.40832 | + | 2.43929i | −0.0478016 | + | 0.0827947i | ||||
\(869\) | −14.1078 | − | 3.78017i | −0.478573 | − | 0.128233i | ||||
\(870\) | −6.80898 | − | 12.0168i | −0.230846 | − | 0.407406i | ||||
\(871\) | 29.1431 | − | 7.80886i | 0.987475 | − | 0.264593i | ||||
\(872\) | −4.48233 | + | 1.20104i | −0.151791 | + | 0.0406723i | ||||
\(873\) | −7.05953 | + | 12.2275i | −0.238929 | + | 0.413837i | ||||
\(874\) | −11.3119 | − | 11.3119i | −0.382630 | − | 0.382630i | ||||
\(875\) | −3.70711 | + | 12.6045i | −0.125323 | + | 0.426108i | ||||
\(876\) | −8.15540 | − | 4.70852i | −0.275545 | − | 0.159086i | ||||
\(877\) | −14.8433 | + | 14.8433i | −0.501221 | + | 0.501221i | −0.911817 | − | 0.410596i | \(-0.865321\pi\) |
0.410596 | + | 0.911817i | \(0.365321\pi\) | |||||||
\(878\) | −15.0490 | + | 15.0490i | −0.507878 | + | 0.507878i | ||||
\(879\) | −17.0170 | + | 29.4743i | −0.573969 | + | 0.994144i | ||||
\(880\) | −2.72327 | − | 0.0220099i | −0.0918014 | − | 0.000741954i | ||||
\(881\) | −32.9469 | + | 19.0219i | −1.11001 | + | 0.640865i | −0.938832 | − | 0.344375i | \(-0.888091\pi\) |
−0.171178 | + | 0.985240i | \(0.554757\pi\) | |||||||
\(882\) | −9.77686 | −0.329204 | ||||||||
\(883\) | 17.2976 | − | 9.98680i | 0.582112 | − | 0.336083i | −0.179860 | − | 0.983692i | \(-0.557565\pi\) |
0.761972 | + | 0.647610i | \(0.224231\pi\) | |||||||
\(884\) | 13.2509 | − | 7.65039i | 0.445675 | − | 0.257311i | ||||
\(885\) | −2.22532 | + | 1.26092i | −0.0748034 | + | 0.0423854i | ||||
\(886\) | −2.72486 | − | 10.1693i | −0.0915436 | − | 0.341645i | ||||
\(887\) | 5.33741 | + | 5.33741i | 0.179213 | + | 0.179213i | 0.791013 | − | 0.611800i | \(-0.209554\pi\) |
−0.611800 | + | 0.791013i | \(0.709554\pi\) | |||||||
\(888\) | 0.794671 | + | 6.78165i | 0.0266674 | + | 0.227577i | ||||
\(889\) | 10.4256i | 0.349664i | ||||||||
\(890\) | −12.6872 | + | 3.28987i | −0.425277 | + | 0.110277i | ||||
\(891\) | 0.794012 | − | 0.458423i | 0.0266004 | − | 0.0153578i | ||||
\(892\) | 2.41158 | − | 9.00013i | 0.0807456 | − | 0.301347i | ||||
\(893\) | 15.1353 | + | 26.2151i | 0.506483 | + | 0.877255i | ||||
\(894\) | 4.79549 | + | 4.79549i | 0.160385 | + | 0.160385i | ||||
\(895\) | −9.28731 | + | 33.5730i | −0.310441 | + | 1.12222i | ||||
\(896\) | 0.830939 | − | 0.830939i | 0.0277597 | − | 0.0277597i | ||||
\(897\) | −2.06551 | − | 7.70860i | −0.0689654 | − | 0.257383i | ||||
\(898\) | 15.5674 | + | 15.5674i | 0.519492 | + | 0.519492i | ||||
\(899\) | 13.1891 | 0.439882 | ||||||||
\(900\) | 7.46287 | + | 4.47106i | 0.248762 | + | 0.149035i | ||||
\(901\) | −30.3379 | − | 8.12902i | −1.01070 | − | 0.270817i | ||||
\(902\) | −11.6124 | −0.386651 | ||||||||
\(903\) | −6.00887 | − | 3.46922i | −0.199963 | − | 0.115448i | ||||
\(904\) | 12.1874 | + | 7.03638i | 0.405346 | + | 0.234027i | ||||
\(905\) | −27.1929 | − | 15.9942i | −0.903923 | − | 0.531667i | ||||
\(906\) | 3.47469 | − | 12.9677i | 0.115439 | − | 0.430824i | ||||
\(907\) | −25.2708 | + | 14.5901i | −0.839105 | + | 0.484457i | −0.856960 | − | 0.515383i | \(-0.827650\pi\) |
0.0178551 | + | 0.999841i | \(0.494316\pi\) | |||||||
\(908\) | −16.1937 | − | 9.34941i | −0.537405 | − | 0.310271i | ||||
\(909\) | 2.98688 | − | 5.17342i | 0.0990684 | − | 0.171592i | ||||
\(910\) | −6.50140 | + | 1.68585i | −0.215519 | + | 0.0558853i | ||||
\(911\) | −1.68166 | + | 1.68166i | −0.0557159 | + | 0.0557159i | −0.734416 | − | 0.678700i | \(-0.762544\pi\) |
0.678700 | + | 0.734416i | \(0.262544\pi\) | |||||||
\(912\) | −3.22811 | − | 5.59124i | −0.106893 | − | 0.185145i | ||||
\(913\) | 5.47525 | + | 20.4339i | 0.181204 | + | 0.676264i | ||||
\(914\) | 13.6821i | 0.452565i | ||||||||
\(915\) | 0.0536514 | − | 6.63824i | 0.00177366 | − | 0.219453i | ||||
\(916\) | 6.81335 | + | 3.93369i | 0.225119 | + | 0.129973i | ||||
\(917\) | −16.4949 | −0.544709 | ||||||||
\(918\) | 30.7650 | + | 8.24347i | 1.01540 | + | 0.272075i | ||||
\(919\) | 16.1247 | − | 16.1247i | 0.531906 | − | 0.531906i | −0.389233 | − | 0.921139i | \(-0.627260\pi\) |
0.921139 | + | 0.389233i | \(0.127260\pi\) | |||||||
\(920\) | −5.41116 | + | 3.06609i | −0.178401 | + | 0.101086i | ||||
\(921\) | −1.36705 | − | 2.36781i | −0.0450459 | − | 0.0780219i | ||||
\(922\) | −19.4796 | − | 5.21954i | −0.641526 | − | 0.171896i | ||||
\(923\) | −6.50996 | + | 11.2756i | −0.214278 | + | 0.371141i | ||||
\(924\) | 1.60657 | 0.0528523 | ||||||||
\(925\) | −30.0189 | − | 4.88497i | −0.987017 | − | 0.160617i | ||||
\(926\) | 36.2252 | 1.19043 | ||||||||
\(927\) | −1.75145 | + | 3.03360i | −0.0575251 | + | 0.0996364i | ||||
\(928\) | −5.31511 | − | 1.42418i | −0.174477 | − | 0.0467510i | ||||
\(929\) | 3.42693 | + | 5.93562i | 0.112434 | + | 0.194741i | 0.916751 | − | 0.399459i | \(-0.130802\pi\) |
−0.804317 | + | 0.594200i | \(0.797469\pi\) | |||||||
\(930\) | 5.23440 | − | 2.96594i | 0.171643 | − | 0.0972569i | ||||
\(931\) | −22.8524 | + | 22.8524i | −0.748958 | + | 0.748958i | ||||
\(932\) | −9.65275 | − | 2.58645i | −0.316186 | − | 0.0847218i | ||||
\(933\) | 28.6902 | 0.939273 | ||||||||
\(934\) | −8.79512 | − | 5.07787i | −0.287785 | − | 0.166153i | ||||
\(935\) | 0.131754 | − | 16.3018i | 0.00430882 | − | 0.533126i | ||||
\(936\) | 4.44736i | 0.145367i | ||||||||
\(937\) | −2.41568 | − | 9.01544i | −0.0789168 | − | 0.294522i | 0.915176 | − | 0.403054i | \(-0.132051\pi\) |
−0.994093 | + | 0.108533i | \(0.965385\pi\) | |||||||
\(938\) | 6.93549 | + | 12.0126i | 0.226452 | + | 0.392226i | ||||
\(939\) | −6.98887 | + | 6.98887i | −0.228073 | + | 0.228073i | ||||
\(940\) | 11.3918 | − | 2.95396i | 0.371560 | − | 0.0963476i | ||||
\(941\) | −17.4423 | + | 30.2110i | −0.568604 | + | 0.984851i | 0.428100 | + | 0.903731i | \(0.359183\pi\) |
−0.996704 | + | 0.0811197i | \(0.974150\pi\) | |||||||
\(942\) | 20.2453 | + | 11.6886i | 0.659626 | + | 0.380835i | ||||
\(943\) | −22.9668 | + | 13.2599i | −0.747901 | + | 0.431801i | ||||
\(944\) | −0.263737 | + | 0.984278i | −0.00858389 | + | 0.0320355i | ||||
\(945\) | −12.0510 | − | 7.08812i | −0.392019 | − | 0.230576i | ||||
\(946\) | 5.54795 | + | 3.20311i | 0.180380 | + | 0.104142i | ||||
\(947\) | 21.4945 | + | 12.4099i | 0.698479 | + | 0.403267i | 0.806781 | − | 0.590851i | \(-0.201208\pi\) |
−0.108302 | + | 0.994118i | \(0.534541\pi\) | |||||||
\(948\) | −13.4614 | −0.437206 | ||||||||
\(949\) | 20.7124 | + | 5.54988i | 0.672354 | + | 0.180157i | ||||
\(950\) | 27.8943 | − | 6.99305i | 0.905012 | − | 0.226885i | ||||
\(951\) | −0.674169 | −0.0218614 | ||||||||
\(952\) | 4.97410 | + | 4.97410i | 0.161211 | + | 0.161211i | ||||
\(953\) | 2.56695 | + | 9.57998i | 0.0831516 | + | 0.310326i | 0.994958 | − | 0.100295i | \(-0.0319786\pi\) |
−0.911806 | + | 0.410621i | \(0.865312\pi\) | |||||||
\(954\) | 6.45529 | − | 6.45529i | 0.208998 | − | 0.208998i | ||||
\(955\) | 2.81456 | − | 10.1745i | 0.0910771 | − | 0.329237i | ||||
\(956\) | 3.73104 | + | 3.73104i | 0.120671 | + | 0.120671i | ||||
\(957\) | −3.76144 | − | 6.51500i | −0.121590 | − | 0.210600i | ||||
\(958\) | −5.69208 | + | 21.2431i | −0.183903 | + | 0.686335i | ||||
\(959\) | −5.81383 | + | 3.35661i | −0.187738 | + | 0.108391i | ||||
\(960\) | −2.42968 | + | 0.630030i | −0.0784177 | + | 0.0203341i | ||||
\(961\) | − | 25.2549i | − | 0.814675i | ||||||
\(962\) | −5.74457 | − | 14.4476i | −0.185213 | − | 0.465811i | ||||
\(963\) | 3.39557 | + | 3.39557i | 0.109421 | + | 0.109421i | ||||
\(964\) | 6.54244 | + | 24.4167i | 0.210718 | + | 0.786410i | ||||
\(965\) | 10.3511 | − | 5.86518i | 0.333213 | − | 0.188807i | ||||
\(966\) | 3.17744 | − | 1.83450i | 0.102233 | − | 0.0590240i | ||||
\(967\) | −43.6352 | + | 25.1928i | −1.40321 | + | 0.810145i | −0.994721 | − | 0.102616i | \(-0.967279\pi\) |
−0.408492 | + | 0.912762i | \(0.633945\pi\) | |||||||
\(968\) | 9.51666 | 0.305877 | ||||||||
\(969\) | 33.4698 | − | 19.3238i | 1.07521 | − | 0.620771i | ||||
\(970\) | 18.1444 | + | 0.146646i | 0.582581 | + | 0.00470852i | ||||
\(971\) | −21.2493 | + | 36.8049i | −0.681924 | + | 1.18113i | 0.292469 | + | 0.956275i | \(0.405523\pi\) |
−0.974393 | + | 0.224852i | \(0.927810\pi\) | |||||||
\(972\) | −10.6894 | + | 10.6894i | −0.342862 | + | 0.342862i | ||||
\(973\) | 10.9394 | − | 10.9394i | 0.350700 | − | 0.350700i | ||||
\(974\) | −12.4398 | − | 7.18214i | −0.398598 | − | 0.230131i | ||||
\(975\) | 13.7955 | + | 3.93654i | 0.441808 | + | 0.126070i | ||||
\(976\) | −1.87013 | − | 1.87013i | −0.0598613 | − | 0.0598613i | ||||
\(977\) | −9.41316 | + | 16.3041i | −0.301154 | + | 0.521613i | −0.976398 | − | 0.215981i | \(-0.930705\pi\) |
0.675244 | + | 0.737595i | \(0.264038\pi\) | |||||||
\(978\) | −19.0184 | + | 5.09596i | −0.608141 | + | 0.162951i | ||||
\(979\) | −6.89567 | + | 1.84769i | −0.220387 | + | 0.0590524i | ||||
\(980\) | 6.19418 | + | 10.9317i | 0.197866 | + | 0.349201i | ||||
\(981\) | 7.79898 | + | 2.08973i | 0.249002 | + | 0.0667200i | ||||
\(982\) | −15.5502 | + | 26.9337i | −0.496225 | + | 0.859488i | ||||
\(983\) | 3.00311 | + | 11.2077i | 0.0957842 | + | 0.357471i | 0.997137 | − | 0.0756137i | \(-0.0240916\pi\) |
−0.901353 | + | 0.433085i | \(0.857425\pi\) | |||||||
\(984\) | −10.3381 | + | 2.77009i | −0.329567 | + | 0.0883073i | ||||
\(985\) | −32.1379 | − | 32.6616i | −1.02400 | − | 1.04069i | ||||
\(986\) | 8.52530 | − | 31.8169i | 0.271501 | − | 1.01326i | ||||
\(987\) | −6.70598 | + | 1.79686i | −0.213454 | + | 0.0571948i | ||||
\(988\) | 10.3953 | + | 10.3953i | 0.330718 | + | 0.330718i | ||||
\(989\) | 14.6302 | 0.465212 | ||||||||
\(990\) | 4.08436 | + | 2.40233i | 0.129810 | + | 0.0763510i | ||||
\(991\) | 7.12460 | + | 7.12460i | 0.226320 | + | 0.226320i | 0.811154 | − | 0.584833i | \(-0.198840\pi\) |
−0.584833 | + | 0.811154i | \(0.698840\pi\) | |||||||
\(992\) | 0.620361 | − | 2.31522i | 0.0196965 | − | 0.0735082i | ||||
\(993\) | 10.3505i | 0.328465i | ||||||||
\(994\) | −5.78186 | − | 1.54925i | −0.183390 | − | 0.0491391i | ||||
\(995\) | 16.1799 | − | 58.4891i | 0.512937 | − | 1.85423i | ||||
\(996\) | 9.74885 | + | 16.8855i | 0.308904 | + | 0.535038i | ||||
\(997\) | −3.16850 | − | 1.82934i | −0.100347 | − | 0.0579356i | 0.448986 | − | 0.893539i | \(-0.351785\pi\) |
−0.549334 | + | 0.835603i | \(0.685118\pi\) | |||||||
\(998\) | 29.2382 | − | 29.2382i | 0.925518 | − | 0.925518i | ||||
\(999\) | 12.8102 | − | 29.7214i | 0.405298 | − | 0.940343i |
(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 | 370.2.q.d.273.2 | yes | 12 | |
5.2 | odd | 4 | 370.2.r.d.347.2 | yes | 12 | ||
37.8 | odd | 12 | 370.2.r.d.193.2 | yes | 12 | ||
185.82 | even | 12 | inner | 370.2.q.d.267.2 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.d.267.2 | ✓ | 12 | 185.82 | even | 12 | inner | |
370.2.q.d.273.2 | yes | 12 | 1.1 | even | 1 | trivial | |
370.2.r.d.193.2 | yes | 12 | 37.8 | odd | 12 | ||
370.2.r.d.347.2 | yes | 12 | 5.2 | odd | 4 |