Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(115,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.115");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.f (of order \(5\), 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: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} + 7 x^{14} - 13 x^{13} + 51 x^{12} - 74 x^{11} + 332 x^{10} - 614 x^{9} + 1832 x^{8} - 2960 x^{7} + 5348 x^{6} - 6872 x^{5} + 8232 x^{4} - 6344 x^{3} + 3984 x^{2} + \cdots + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 115.3 | ||
Root | \(0.956027 + 0.694595i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 418.115 |
Dual form | 418.2.f.g.229.3 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | − | 0.951057i | −0.218508 | − | 0.672499i | ||||
\(3\) | 0.956027 | + | 0.694595i | 0.551963 | + | 0.401024i | 0.828509 | − | 0.559976i | \(-0.189190\pi\) |
−0.276546 | + | 0.961001i | \(0.589190\pi\) | |||||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | −0.0364140 | + | 0.112071i | −0.0162849 | + | 0.0501196i | −0.958869 | − | 0.283850i | \(-0.908388\pi\) |
0.942584 | + | 0.333970i | \(0.108388\pi\) | |||||||
\(6\) | 0.365170 | − | 1.12388i | 0.149080 | − | 0.458821i | ||||
\(7\) | 1.41067 | − | 1.02491i | 0.533185 | − | 0.387381i | −0.288363 | − | 0.957521i | \(-0.593111\pi\) |
0.821548 | + | 0.570140i | \(0.193111\pi\) | |||||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | −0.495524 | − | 1.52507i | −0.165175 | − | 0.508356i | ||||
\(10\) | 0.117838 | 0.0372638 | ||||||||
\(11\) | 3.18641 | + | 0.920226i | 0.960738 | + | 0.277459i | ||||
\(12\) | −1.18171 | −0.341132 | ||||||||
\(13\) | 0.656165 | + | 2.01947i | 0.181987 | + | 0.560100i | 0.999883 | − | 0.0152662i | \(-0.00485958\pi\) |
−0.817896 | + | 0.575366i | \(0.804860\pi\) | |||||||
\(14\) | −1.41067 | − | 1.02491i | −0.377018 | − | 0.273920i | ||||
\(15\) | −0.112657 | + | 0.0818499i | −0.0290878 | + | 0.0211335i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 0.672362 | − | 2.06932i | 0.163072 | − | 0.501883i | −0.835817 | − | 0.549008i | \(-0.815006\pi\) |
0.998889 | + | 0.0471244i | \(0.0150057\pi\) | |||||||
\(18\) | −1.29730 | + | 0.942543i | −0.305776 | + | 0.222160i | ||||
\(19\) | −0.809017 | − | 0.587785i | −0.185601 | − | 0.134847i | ||||
\(20\) | −0.0364140 | − | 0.112071i | −0.00814243 | − | 0.0250598i | ||||
\(21\) | 2.06054 | 0.449647 | ||||||||
\(22\) | −0.109466 | − | 3.31482i | −0.0233383 | − | 0.706722i | ||||
\(23\) | 6.90496 | 1.43978 | 0.719892 | − | 0.694086i | \(-0.244191\pi\) | ||||
0.719892 | + | 0.694086i | \(0.244191\pi\) | |||||||
\(24\) | 0.365170 | + | 1.12388i | 0.0745400 | + | 0.229411i | ||||
\(25\) | 4.03385 | + | 2.93076i | 0.806770 | + | 0.586153i | ||||
\(26\) | 1.71786 | − | 1.24810i | 0.336901 | − | 0.244773i | ||||
\(27\) | 1.68108 | − | 5.17383i | 0.323524 | − | 0.995703i | ||||
\(28\) | −0.538830 | + | 1.65835i | −0.101829 | + | 0.313398i | ||||
\(29\) | −2.35143 | + | 1.70841i | −0.436649 | + | 0.317244i | −0.784302 | − | 0.620379i | \(-0.786979\pi\) |
0.347653 | + | 0.937623i | \(0.386979\pi\) | |||||||
\(30\) | 0.112657 | + | 0.0818499i | 0.0205682 | + | 0.0149437i | ||||
\(31\) | −0.633297 | − | 1.94909i | −0.113744 | − | 0.350067i | 0.877939 | − | 0.478772i | \(-0.158918\pi\) |
−0.991683 | + | 0.128705i | \(0.958918\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 2.40711 | + | 3.09302i | 0.419024 | + | 0.538426i | ||||
\(34\) | −2.17581 | −0.373148 | ||||||||
\(35\) | 0.0634948 | + | 0.195417i | 0.0107326 | + | 0.0330315i | ||||
\(36\) | 1.29730 | + | 0.942543i | 0.216217 | + | 0.157091i | ||||
\(37\) | 1.65368 | − | 1.20147i | 0.271864 | − | 0.197521i | −0.443497 | − | 0.896276i | \(-0.646262\pi\) |
0.715361 | + | 0.698755i | \(0.246262\pi\) | |||||||
\(38\) | −0.309017 | + | 0.951057i | −0.0501292 | + | 0.154282i | ||||
\(39\) | −0.775400 | + | 2.38644i | −0.124163 | + | 0.382136i | ||||
\(40\) | −0.0953332 | + | 0.0692636i | −0.0150735 | + | 0.0109515i | ||||
\(41\) | −0.497734 | − | 0.361625i | −0.0777330 | − | 0.0564763i | 0.548240 | − | 0.836321i | \(-0.315298\pi\) |
−0.625973 | + | 0.779845i | \(0.715298\pi\) | |||||||
\(42\) | −0.636743 | − | 1.95969i | −0.0982516 | − | 0.302387i | ||||
\(43\) | −10.0414 | −1.53129 | −0.765647 | − | 0.643261i | \(-0.777581\pi\) | ||||
−0.765647 | + | 0.643261i | \(0.777581\pi\) | |||||||
\(44\) | −3.11875 | + | 1.12844i | −0.470170 | + | 0.170119i | ||||
\(45\) | 0.188960 | 0.0281684 | ||||||||
\(46\) | −2.13375 | − | 6.56701i | −0.314604 | − | 0.968253i | ||||
\(47\) | 4.93079 | + | 3.58243i | 0.719229 | + | 0.522551i | 0.886138 | − | 0.463422i | \(-0.153379\pi\) |
−0.166909 | + | 0.985972i | \(0.553379\pi\) | |||||||
\(48\) | 0.956027 | − | 0.694595i | 0.137991 | − | 0.100256i | ||||
\(49\) | −1.22357 | + | 3.76575i | −0.174795 | + | 0.537965i | ||||
\(50\) | 1.54079 | − | 4.74208i | 0.217901 | − | 0.670631i | ||||
\(51\) | 2.08013 | − | 1.51131i | 0.291277 | − | 0.211625i | ||||
\(52\) | −1.71786 | − | 1.24810i | −0.238225 | − | 0.173080i | ||||
\(53\) | −2.83556 | − | 8.72697i | −0.389495 | − | 1.19874i | −0.933167 | − | 0.359444i | \(-0.882966\pi\) |
0.543672 | − | 0.839298i | \(-0.317034\pi\) | |||||||
\(54\) | −5.44008 | −0.740302 | ||||||||
\(55\) | −0.219161 | + | 0.323594i | −0.0295516 | + | 0.0436334i | ||||
\(56\) | 1.74369 | 0.233010 | ||||||||
\(57\) | −0.365170 | − | 1.12388i | −0.0483679 | − | 0.148861i | ||||
\(58\) | 2.35143 | + | 1.70841i | 0.308757 | + | 0.224325i | ||||
\(59\) | −4.54252 | + | 3.30034i | −0.591386 | + | 0.429667i | −0.842811 | − | 0.538210i | \(-0.819101\pi\) |
0.251425 | + | 0.967877i | \(0.419101\pi\) | |||||||
\(60\) | 0.0430310 | − | 0.132436i | 0.00555528 | − | 0.0170974i | ||||
\(61\) | 1.61691 | − | 4.97634i | 0.207024 | − | 0.637154i | −0.792600 | − | 0.609742i | \(-0.791273\pi\) |
0.999624 | − | 0.0274127i | \(-0.00872683\pi\) | |||||||
\(62\) | −1.65799 | + | 1.20460i | −0.210565 | + | 0.152985i | ||||
\(63\) | −2.26209 | − | 1.64350i | −0.284996 | − | 0.207062i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −0.250217 | −0.0310356 | ||||||||
\(66\) | 2.19780 | − | 3.24509i | 0.270531 | − | 0.399443i | ||||
\(67\) | −13.9348 | −1.70241 | −0.851205 | − | 0.524833i | \(-0.824128\pi\) | ||||
−0.851205 | + | 0.524833i | \(0.824128\pi\) | |||||||
\(68\) | 0.672362 | + | 2.06932i | 0.0815359 | + | 0.250942i | ||||
\(69\) | 6.60133 | + | 4.79615i | 0.794707 | + | 0.577388i | ||||
\(70\) | 0.166231 | − | 0.120774i | 0.0198685 | − | 0.0144353i | ||||
\(71\) | −2.83485 | + | 8.72478i | −0.336435 | + | 1.03544i | 0.629576 | + | 0.776939i | \(0.283229\pi\) |
−0.966011 | + | 0.258501i | \(0.916771\pi\) | |||||||
\(72\) | 0.495524 | − | 1.52507i | 0.0583981 | − | 0.179731i | ||||
\(73\) | −10.8850 | + | 7.90844i | −1.27400 | + | 0.925613i | −0.999354 | − | 0.0359327i | \(-0.988560\pi\) |
−0.274643 | + | 0.961546i | \(0.588560\pi\) | |||||||
\(74\) | −1.65368 | − | 1.20147i | −0.192237 | − | 0.139668i | ||||
\(75\) | 1.82078 | + | 5.60378i | 0.210245 | + | 0.647069i | ||||
\(76\) | 1.00000 | 0.114708 | ||||||||
\(77\) | 5.43813 | − | 1.96766i | 0.619733 | − | 0.224235i | ||||
\(78\) | 2.50925 | 0.284116 | ||||||||
\(79\) | −1.69197 | − | 5.20734i | −0.190361 | − | 0.585871i | 0.809638 | − | 0.586929i | \(-0.199663\pi\) |
−0.999999 | + | 0.00105787i | \(0.999663\pi\) | |||||||
\(80\) | 0.0953332 | + | 0.0692636i | 0.0106586 | + | 0.00774391i | ||||
\(81\) | 1.30897 | − | 0.951023i | 0.145441 | − | 0.105669i | ||||
\(82\) | −0.190117 | + | 0.585121i | −0.0209950 | + | 0.0646158i | ||||
\(83\) | 2.92563 | − | 9.00415i | 0.321129 | − | 0.988334i | −0.652028 | − | 0.758195i | \(-0.726082\pi\) |
0.973158 | − | 0.230140i | \(-0.0739183\pi\) | |||||||
\(84\) | −1.66701 | + | 1.21116i | −0.181886 | + | 0.132148i | ||||
\(85\) | 0.207427 | + | 0.150705i | 0.0224986 | + | 0.0163462i | ||||
\(86\) | 3.10295 | + | 9.54991i | 0.334600 | + | 1.02979i | ||||
\(87\) | −3.43468 | −0.368236 | ||||||||
\(88\) | 2.03696 | + | 2.61740i | 0.217141 | + | 0.279016i | ||||
\(89\) | 4.79411 | 0.508174 | 0.254087 | − | 0.967181i | \(-0.418225\pi\) | ||||
0.254087 | + | 0.967181i | \(0.418225\pi\) | |||||||
\(90\) | −0.0583917 | − | 0.179711i | −0.00615503 | − | 0.0189432i | ||||
\(91\) | 2.99542 | + | 2.17630i | 0.314005 | + | 0.228138i | ||||
\(92\) | −5.58623 | + | 4.05863i | −0.582405 | + | 0.423142i | ||||
\(93\) | 0.748377 | − | 2.30327i | 0.0776030 | − | 0.238838i | ||||
\(94\) | 1.88339 | − | 5.79649i | 0.194257 | − | 0.597862i | ||||
\(95\) | 0.0953332 | − | 0.0692636i | 0.00978098 | − | 0.00710630i | ||||
\(96\) | −0.956027 | − | 0.694595i | −0.0975741 | − | 0.0708918i | ||||
\(97\) | 3.45324 | + | 10.6280i | 0.350623 | + | 1.07911i | 0.958504 | + | 0.285079i | \(0.0920197\pi\) |
−0.607881 | + | 0.794028i | \(0.707980\pi\) | |||||||
\(98\) | 3.95955 | 0.399975 | ||||||||
\(99\) | −0.175535 | − | 5.31548i | −0.0176419 | − | 0.534225i | ||||
\(100\) | −4.98611 | −0.498611 | ||||||||
\(101\) | 1.04855 | + | 3.22711i | 0.104335 | + | 0.321109i | 0.989574 | − | 0.144027i | \(-0.0460053\pi\) |
−0.885239 | + | 0.465136i | \(0.846005\pi\) | |||||||
\(102\) | −2.08013 | − | 1.51131i | −0.205964 | − | 0.149642i | ||||
\(103\) | −14.3204 | + | 10.4044i | −1.41103 | + | 1.02517i | −0.417861 | + | 0.908511i | \(0.637220\pi\) |
−0.993171 | + | 0.116664i | \(0.962780\pi\) | |||||||
\(104\) | −0.656165 | + | 2.01947i | −0.0643423 | + | 0.198025i | ||||
\(105\) | −0.0750327 | + | 0.230927i | −0.00732244 | + | 0.0225362i | ||||
\(106\) | −7.42361 | + | 5.39356i | −0.721044 | + | 0.523869i | ||||
\(107\) | 0.418265 | + | 0.303887i | 0.0404352 | + | 0.0293779i | 0.607819 | − | 0.794075i | \(-0.292045\pi\) |
−0.567384 | + | 0.823453i | \(0.692045\pi\) | |||||||
\(108\) | 1.68108 | + | 5.17383i | 0.161762 | + | 0.497852i | ||||
\(109\) | −7.94333 | −0.760833 | −0.380417 | − | 0.924815i | \(-0.624219\pi\) | ||||
−0.380417 | + | 0.924815i | \(0.624219\pi\) | |||||||
\(110\) | 0.375481 | + | 0.108438i | 0.0358007 | + | 0.0103392i | ||||
\(111\) | 2.41550 | 0.229270 | ||||||||
\(112\) | −0.538830 | − | 1.65835i | −0.0509146 | − | 0.156699i | ||||
\(113\) | 13.0739 | + | 9.49874i | 1.22989 | + | 0.893566i | 0.996882 | − | 0.0789087i | \(-0.0251436\pi\) |
0.233007 | + | 0.972475i | \(0.425144\pi\) | |||||||
\(114\) | −0.956027 | + | 0.694595i | −0.0895402 | + | 0.0650547i | ||||
\(115\) | −0.251438 | + | 0.773845i | −0.0234467 | + | 0.0721614i | ||||
\(116\) | 0.898165 | − | 2.76427i | 0.0833925 | − | 0.256656i | ||||
\(117\) | 2.75468 | − | 2.00139i | 0.254670 | − | 0.185029i | ||||
\(118\) | 4.54252 | + | 3.30034i | 0.418173 | + | 0.303821i | ||||
\(119\) | −1.17239 | − | 3.60825i | −0.107473 | − | 0.330768i | ||||
\(120\) | −0.139251 | −0.0127118 | ||||||||
\(121\) | 9.30637 | + | 5.86443i | 0.846033 | + | 0.533130i | ||||
\(122\) | −5.23243 | −0.473722 | ||||||||
\(123\) | −0.224665 | − | 0.691446i | −0.0202573 | − | 0.0623456i | ||||
\(124\) | 1.65799 | + | 1.20460i | 0.148892 | + | 0.108177i | ||||
\(125\) | −0.952008 | + | 0.691675i | −0.0851502 | + | 0.0618653i | ||||
\(126\) | −0.864040 | + | 2.65924i | −0.0769748 | + | 0.236904i | ||||
\(127\) | 0.859002 | − | 2.64374i | 0.0762241 | − | 0.234594i | −0.905683 | − | 0.423955i | \(-0.860642\pi\) |
0.981908 | + | 0.189361i | \(0.0606416\pi\) | |||||||
\(128\) | 0.809017 | − | 0.587785i | 0.0715077 | − | 0.0519534i | ||||
\(129\) | −9.59983 | − | 6.97468i | −0.845217 | − | 0.614086i | ||||
\(130\) | 0.0773214 | + | 0.237971i | 0.00678154 | + | 0.0208714i | ||||
\(131\) | −10.0755 | −0.880298 | −0.440149 | − | 0.897925i | \(-0.645074\pi\) | ||||
−0.440149 | + | 0.897925i | \(0.645074\pi\) | |||||||
\(132\) | −3.76542 | − | 1.08745i | −0.327738 | − | 0.0946499i | ||||
\(133\) | −1.74369 | −0.151197 | ||||||||
\(134\) | 4.30610 | + | 13.2528i | 0.371990 | + | 1.14487i | ||||
\(135\) | 0.518621 | + | 0.376800i | 0.0446358 | + | 0.0324298i | ||||
\(136\) | 1.76027 | − | 1.27891i | 0.150942 | − | 0.109666i | ||||
\(137\) | −0.148894 | + | 0.458249i | −0.0127209 | + | 0.0391509i | −0.957215 | − | 0.289376i | \(-0.906552\pi\) |
0.944495 | + | 0.328527i | \(0.106552\pi\) | |||||||
\(138\) | 2.52148 | − | 7.76033i | 0.214643 | − | 0.660603i | ||||
\(139\) | −16.0011 | + | 11.6255i | −1.35720 | + | 0.986061i | −0.358578 | + | 0.933500i | \(0.616738\pi\) |
−0.998618 | + | 0.0525610i | \(0.983262\pi\) | |||||||
\(140\) | −0.166231 | − | 0.120774i | −0.0140491 | − | 0.0102073i | ||||
\(141\) | 2.22563 | + | 6.84979i | 0.187432 | + | 0.576857i | ||||
\(142\) | 9.17377 | 0.769846 | ||||||||
\(143\) | 0.232441 | + | 7.03867i | 0.0194377 | + | 0.588603i | ||||
\(144\) | −1.60355 | −0.133629 | ||||||||
\(145\) | −0.105838 | − | 0.325737i | −0.00878939 | − | 0.0270510i | ||||
\(146\) | 10.8850 | + | 7.90844i | 0.900852 | + | 0.654508i | ||||
\(147\) | −3.78544 | + | 2.75028i | −0.312218 | + | 0.226839i | ||||
\(148\) | −0.631651 | + | 1.94402i | −0.0519214 | + | 0.159798i | ||||
\(149\) | 1.65901 | − | 5.10592i | 0.135912 | − | 0.418293i | −0.859819 | − | 0.510599i | \(-0.829424\pi\) |
0.995731 | + | 0.0923058i | \(0.0294237\pi\) | |||||||
\(150\) | 4.76686 | − | 3.46333i | 0.389213 | − | 0.282780i | ||||
\(151\) | −16.8173 | − | 12.2185i | −1.36857 | − | 0.994324i | −0.997847 | − | 0.0655810i | \(-0.979110\pi\) |
−0.370723 | − | 0.928744i | \(-0.620890\pi\) | |||||||
\(152\) | −0.309017 | − | 0.951057i | −0.0250646 | − | 0.0771409i | ||||
\(153\) | −3.48902 | −0.282071 | ||||||||
\(154\) | −3.55183 | − | 4.56393i | −0.286214 | − | 0.367772i | ||||
\(155\) | 0.241497 | 0.0193975 | ||||||||
\(156\) | −0.775400 | − | 2.38644i | −0.0620817 | − | 0.191068i | ||||
\(157\) | −5.44933 | − | 3.95917i | −0.434904 | − | 0.315976i | 0.348703 | − | 0.937233i | \(-0.386622\pi\) |
−0.783607 | + | 0.621257i | \(0.786622\pi\) | |||||||
\(158\) | −4.42963 | + | 3.21831i | −0.352402 | + | 0.256035i | ||||
\(159\) | 3.35083 | − | 10.3128i | 0.265738 | − | 0.817858i | ||||
\(160\) | 0.0364140 | − | 0.112071i | 0.00287878 | − | 0.00885998i | ||||
\(161\) | 9.74065 | − | 7.07700i | 0.767671 | − | 0.557745i | ||||
\(162\) | −1.30897 | − | 0.951023i | −0.102842 | − | 0.0747194i | ||||
\(163\) | 1.39938 | + | 4.30684i | 0.109608 | + | 0.337338i | 0.990784 | − | 0.135450i | \(-0.0432479\pi\) |
−0.881177 | + | 0.472787i | \(0.843248\pi\) | |||||||
\(164\) | 0.615233 | 0.0480416 | ||||||||
\(165\) | −0.434290 | + | 0.157137i | −0.0338095 | + | 0.0122331i | ||||
\(166\) | −9.46753 | −0.734823 | ||||||||
\(167\) | −1.53398 | − | 4.72111i | −0.118703 | − | 0.365331i | 0.873998 | − | 0.485929i | \(-0.161519\pi\) |
−0.992701 | + | 0.120598i | \(0.961519\pi\) | |||||||
\(168\) | 1.66701 | + | 1.21116i | 0.128613 | + | 0.0934428i | ||||
\(169\) | 6.86952 | − | 4.99100i | 0.528425 | − | 0.383923i | ||||
\(170\) | 0.0792301 | − | 0.243845i | 0.00607667 | − | 0.0187021i | ||||
\(171\) | −0.495524 | + | 1.52507i | −0.0378937 | + | 0.116625i | ||||
\(172\) | 8.12364 | − | 5.90217i | 0.619422 | − | 0.450036i | ||||
\(173\) | −0.717302 | − | 0.521150i | −0.0545355 | − | 0.0396223i | 0.560184 | − | 0.828369i | \(-0.310731\pi\) |
−0.614719 | + | 0.788746i | \(0.710731\pi\) | |||||||
\(174\) | 1.06137 | + | 3.26658i | 0.0804626 | + | 0.247638i | ||||
\(175\) | 8.69423 | 0.657222 | ||||||||
\(176\) | 1.85984 | − | 2.74609i | 0.140191 | − | 0.206994i | ||||
\(177\) | −6.63517 | −0.498730 | ||||||||
\(178\) | −1.48146 | − | 4.55947i | −0.111040 | − | 0.341746i | ||||
\(179\) | 2.18727 | + | 1.58914i | 0.163484 | + | 0.118778i | 0.666519 | − | 0.745488i | \(-0.267783\pi\) |
−0.503035 | + | 0.864266i | \(0.667783\pi\) | |||||||
\(180\) | −0.152872 | + | 0.111068i | −0.0113944 | + | 0.00827850i | ||||
\(181\) | 4.95861 | − | 15.2610i | 0.368571 | − | 1.13434i | −0.579144 | − | 0.815225i | \(-0.696613\pi\) |
0.947715 | − | 0.319118i | \(-0.103387\pi\) | |||||||
\(182\) | 1.14415 | − | 3.52133i | 0.0848099 | − | 0.261018i | ||||
\(183\) | 5.00235 | − | 3.63442i | 0.369784 | − | 0.268664i | ||||
\(184\) | 5.58623 | + | 4.05863i | 0.411822 | + | 0.299206i | ||||
\(185\) | 0.0744328 | + | 0.229080i | 0.00547240 | + | 0.0168423i | ||||
\(186\) | −2.42180 | −0.177575 | ||||||||
\(187\) | 4.04666 | − | 5.97496i | 0.295921 | − | 0.436933i | ||||
\(188\) | −6.09479 | −0.444508 | ||||||||
\(189\) | −2.93128 | − | 9.02154i | −0.213219 | − | 0.656221i | ||||
\(190\) | −0.0953332 | − | 0.0692636i | −0.00691620 | − | 0.00502491i | ||||
\(191\) | 18.9608 | − | 13.7758i | 1.37195 | − | 0.996783i | 0.374373 | − | 0.927278i | \(-0.377858\pi\) |
0.997582 | − | 0.0695052i | \(-0.0221420\pi\) | |||||||
\(192\) | −0.365170 | + | 1.12388i | −0.0263539 | + | 0.0811089i | ||||
\(193\) | 2.56418 | − | 7.89174i | 0.184574 | − | 0.568060i | −0.815367 | − | 0.578944i | \(-0.803465\pi\) |
0.999941 | + | 0.0108849i | \(0.00346483\pi\) | |||||||
\(194\) | 9.04069 | − | 6.56845i | 0.649084 | − | 0.471587i | ||||
\(195\) | −0.239215 | − | 0.173800i | −0.0171305 | − | 0.0124460i | ||||
\(196\) | −1.22357 | − | 3.76575i | −0.0873977 | − | 0.268982i | ||||
\(197\) | 25.7155 | 1.83215 | 0.916077 | − | 0.401003i | \(-0.131338\pi\) | ||||
0.916077 | + | 0.401003i | \(0.131338\pi\) | |||||||
\(198\) | −5.00107 | + | 1.80952i | −0.355411 | + | 0.128597i | ||||
\(199\) | 7.28088 | 0.516128 | 0.258064 | − | 0.966128i | \(-0.416915\pi\) | ||||
0.258064 | + | 0.966128i | \(0.416915\pi\) | |||||||
\(200\) | 1.54079 | + | 4.74208i | 0.108951 | + | 0.335315i | ||||
\(201\) | −13.3221 | − | 9.67905i | −0.939667 | − | 0.682708i | ||||
\(202\) | 2.74514 | − | 1.99446i | 0.193148 | − | 0.140330i | ||||
\(203\) | −1.56612 | + | 4.82002i | −0.109920 | + | 0.338299i | ||||
\(204\) | −0.794541 | + | 2.44534i | −0.0556290 | + | 0.171208i | ||||
\(205\) | 0.0586521 | − | 0.0426133i | 0.00409644 | − | 0.00297624i | ||||
\(206\) | 14.3204 | + | 10.4044i | 0.997751 | + | 0.724908i | ||||
\(207\) | −3.42158 | − | 10.5305i | −0.237816 | − | 0.731922i | ||||
\(208\) | 2.12340 | 0.147231 | ||||||||
\(209\) | −2.03696 | − | 2.61740i | −0.140900 | − | 0.181049i | ||||
\(210\) | 0.242811 | 0.0167555 | ||||||||
\(211\) | 3.03706 | + | 9.34710i | 0.209080 | + | 0.643481i | 0.999521 | + | 0.0309432i | \(0.00985111\pi\) |
−0.790442 | + | 0.612537i | \(0.790149\pi\) | |||||||
\(212\) | 7.42361 | + | 5.39356i | 0.509855 | + | 0.370432i | ||||
\(213\) | −8.77038 | + | 6.37205i | −0.600936 | + | 0.436606i | ||||
\(214\) | 0.159763 | − | 0.491699i | 0.0109212 | − | 0.0336119i | ||||
\(215\) | 0.365647 | − | 1.12535i | 0.0249369 | − | 0.0767479i | ||||
\(216\) | 4.40112 | − | 3.19760i | 0.299458 | − | 0.217569i | ||||
\(217\) | −2.89102 | − | 2.10045i | −0.196256 | − | 0.142588i | ||||
\(218\) | 2.45462 | + | 7.55456i | 0.166248 | + | 0.511659i | ||||
\(219\) | −15.8996 | −1.07439 | ||||||||
\(220\) | −0.0128993 | − | 0.390613i | −0.000869674 | − | 0.0263351i | ||||
\(221\) | 4.62011 | 0.310782 | ||||||||
\(222\) | −0.746432 | − | 2.29728i | −0.0500972 | − | 0.154183i | ||||
\(223\) | −1.21763 | − | 0.884658i | −0.0815383 | − | 0.0592411i | 0.546269 | − | 0.837610i | \(-0.316048\pi\) |
−0.627808 | + | 0.778369i | \(0.716048\pi\) | |||||||
\(224\) | −1.41067 | + | 1.02491i | −0.0942546 | + | 0.0684800i | ||||
\(225\) | 2.47074 | − | 7.60416i | 0.164716 | − | 0.506944i | ||||
\(226\) | 4.99378 | − | 15.3693i | 0.332182 | − | 1.02235i | ||||
\(227\) | −0.204927 | + | 0.148888i | −0.0136015 | + | 0.00988206i | −0.594565 | − | 0.804047i | \(-0.702676\pi\) |
0.580964 | + | 0.813929i | \(0.302676\pi\) | |||||||
\(228\) | 0.956027 | + | 0.694595i | 0.0633145 | + | 0.0460006i | ||||
\(229\) | −2.70334 | − | 8.32002i | −0.178642 | − | 0.549803i | 0.821139 | − | 0.570728i | \(-0.193339\pi\) |
−0.999781 | + | 0.0209252i | \(0.993339\pi\) | |||||||
\(230\) | 0.813669 | 0.0536518 | ||||||||
\(231\) | 6.56573 | + | 1.89617i | 0.431993 | + | 0.124759i | ||||
\(232\) | −2.90652 | −0.190823 | ||||||||
\(233\) | 3.81895 | + | 11.7535i | 0.250188 | + | 0.769998i | 0.994740 | + | 0.102434i | \(0.0326631\pi\) |
−0.744552 | + | 0.667564i | \(0.767337\pi\) | |||||||
\(234\) | −2.75468 | − | 2.00139i | −0.180079 | − | 0.130835i | ||||
\(235\) | −0.581036 | + | 0.422147i | −0.0379026 | + | 0.0275378i | ||||
\(236\) | 1.73509 | − | 5.34006i | 0.112945 | − | 0.347608i | ||||
\(237\) | 1.99942 | − | 6.15359i | 0.129876 | − | 0.399718i | ||||
\(238\) | −3.06936 | + | 2.23002i | −0.198957 | + | 0.144551i | ||||
\(239\) | −15.5530 | − | 11.2999i | −1.00604 | − | 0.730929i | −0.0426635 | − | 0.999089i | \(-0.513584\pi\) |
−0.963374 | + | 0.268160i | \(0.913584\pi\) | |||||||
\(240\) | 0.0430310 | + | 0.132436i | 0.00277764 | + | 0.00854870i | ||||
\(241\) | 19.1933 | 1.23635 | 0.618176 | − | 0.786040i | \(-0.287872\pi\) | ||||
0.618176 | + | 0.786040i | \(0.287872\pi\) | |||||||
\(242\) | 2.70158 | − | 10.6631i | 0.173664 | − | 0.685449i | ||||
\(243\) | −14.4083 | −0.924290 | ||||||||
\(244\) | 1.61691 | + | 4.97634i | 0.103512 | + | 0.318577i | ||||
\(245\) | −0.377477 | − | 0.274253i | −0.0241161 | − | 0.0175214i | ||||
\(246\) | −0.588179 | + | 0.427337i | −0.0375010 | + | 0.0272460i | ||||
\(247\) | 0.656165 | − | 2.01947i | 0.0417508 | − | 0.128496i | ||||
\(248\) | 0.633297 | − | 1.94909i | 0.0402144 | − | 0.123767i | ||||
\(249\) | 9.05122 | − | 6.57609i | 0.573598 | − | 0.416743i | ||||
\(250\) | 0.952008 | + | 0.691675i | 0.0602103 | + | 0.0437453i | ||||
\(251\) | −2.70895 | − | 8.33729i | −0.170987 | − | 0.526245i | 0.828440 | − | 0.560078i | \(-0.189229\pi\) |
−0.999428 | + | 0.0338325i | \(0.989229\pi\) | |||||||
\(252\) | 2.79609 | 0.176137 | ||||||||
\(253\) | 22.0020 | + | 6.35413i | 1.38325 | + | 0.399481i | ||||
\(254\) | −2.77979 | −0.174419 | ||||||||
\(255\) | 0.0936273 | + | 0.288155i | 0.00586317 | + | 0.0180450i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −20.4386 | + | 14.8495i | −1.27493 | + | 0.926288i | −0.999387 | − | 0.0350021i | \(-0.988856\pi\) |
−0.275539 | + | 0.961290i | \(0.588856\pi\) | |||||||
\(258\) | −3.66681 | + | 11.2853i | −0.228285 | + | 0.702590i | ||||
\(259\) | 1.10140 | − | 3.38977i | 0.0684379 | − | 0.210630i | ||||
\(260\) | 0.202430 | − | 0.147074i | 0.0125542 | − | 0.00912115i | ||||
\(261\) | 3.77063 | + | 2.73952i | 0.233396 | + | 0.169572i | ||||
\(262\) | 3.11349 | + | 9.58235i | 0.192352 | + | 0.591999i | ||||
\(263\) | −19.1737 | −1.18230 | −0.591149 | − | 0.806562i | \(-0.701326\pi\) | ||||
−0.591149 | + | 0.806562i | \(0.701326\pi\) | |||||||
\(264\) | 0.129358 | + | 3.91717i | 0.00796144 | + | 0.241085i | ||||
\(265\) | 1.08129 | 0.0664234 | ||||||||
\(266\) | 0.538830 | + | 1.65835i | 0.0330378 | + | 0.101680i | ||||
\(267\) | 4.58330 | + | 3.32996i | 0.280493 | + | 0.203790i | ||||
\(268\) | 11.2735 | − | 8.19069i | 0.688639 | − | 0.500326i | ||||
\(269\) | 2.55591 | − | 7.86628i | 0.155836 | − | 0.479615i | −0.842408 | − | 0.538840i | \(-0.818863\pi\) |
0.998245 | + | 0.0592245i | \(0.0188628\pi\) | |||||||
\(270\) | 0.198095 | − | 0.609675i | 0.0120557 | − | 0.0371036i | ||||
\(271\) | 7.35162 | − | 5.34126i | 0.446579 | − | 0.324459i | −0.341665 | − | 0.939822i | \(-0.610991\pi\) |
0.788244 | + | 0.615363i | \(0.210991\pi\) | |||||||
\(272\) | −1.76027 | − | 1.27891i | −0.106732 | − | 0.0775453i | ||||
\(273\) | 1.35206 | + | 4.16120i | 0.0818302 | + | 0.251847i | ||||
\(274\) | 0.481832 | 0.0291085 | ||||||||
\(275\) | 10.1565 | + | 13.0507i | 0.612461 | + | 0.786984i | ||||
\(276\) | −8.15970 | −0.491156 | ||||||||
\(277\) | −1.41257 | − | 4.34743i | −0.0848729 | − | 0.261212i | 0.899610 | − | 0.436695i | \(-0.143851\pi\) |
−0.984482 | + | 0.175483i | \(0.943851\pi\) | |||||||
\(278\) | 16.0011 | + | 11.6255i | 0.959683 | + | 0.697250i | ||||
\(279\) | −2.65868 | + | 1.93164i | −0.159171 | + | 0.115644i | ||||
\(280\) | −0.0634948 | + | 0.195417i | −0.00379454 | + | 0.0116784i | ||||
\(281\) | −0.380386 | + | 1.17071i | −0.0226920 | + | 0.0698386i | −0.961761 | − | 0.273889i | \(-0.911690\pi\) |
0.939069 | + | 0.343728i | \(0.111690\pi\) | |||||||
\(282\) | 5.82678 | − | 4.23341i | 0.346980 | − | 0.252096i | ||||
\(283\) | −21.3806 | − | 15.5339i | −1.27095 | − | 0.923397i | −0.271708 | − | 0.962380i | \(-0.587588\pi\) |
−0.999240 | + | 0.0389825i | \(0.987588\pi\) | |||||||
\(284\) | −2.83485 | − | 8.72478i | −0.168218 | − | 0.517720i | ||||
\(285\) | 0.139251 | 0.00824854 | ||||||||
\(286\) | 6.62234 | − | 2.39613i | 0.391587 | − | 0.141686i | ||||
\(287\) | −1.07277 | −0.0633239 | ||||||||
\(288\) | 0.495524 | + | 1.52507i | 0.0291990 | + | 0.0898654i | ||||
\(289\) | 9.92328 | + | 7.20969i | 0.583722 | + | 0.424099i | ||||
\(290\) | −0.277088 | + | 0.201316i | −0.0162712 | + | 0.0118217i | ||||
\(291\) | −4.08074 | + | 12.5592i | −0.239217 | + | 0.736235i | ||||
\(292\) | 4.15772 | − | 12.7961i | 0.243312 | − | 0.748837i | ||||
\(293\) | −5.10406 | + | 3.70832i | −0.298183 | + | 0.216642i | −0.726809 | − | 0.686839i | \(-0.758998\pi\) |
0.428627 | + | 0.903482i | \(0.358998\pi\) | |||||||
\(294\) | 3.78544 | + | 2.75028i | 0.220771 | + | 0.160400i | ||||
\(295\) | −0.204460 | − | 0.629264i | −0.0119041 | − | 0.0366371i | ||||
\(296\) | 2.04407 | 0.118809 | ||||||||
\(297\) | 10.1177 | − | 14.9389i | 0.587088 | − | 0.866845i | ||||
\(298\) | −5.36868 | −0.310999 | ||||||||
\(299\) | 4.53080 | + | 13.9444i | 0.262023 | + | 0.806423i | ||||
\(300\) | −4.76686 | − | 3.46333i | −0.275215 | − | 0.199955i | ||||
\(301\) | −14.1651 | + | 10.2915i | −0.816463 | + | 0.593195i | ||||
\(302\) | −6.42363 | + | 19.7699i | −0.369638 | + | 1.13763i | ||||
\(303\) | −1.23909 | + | 3.81352i | −0.0711838 | + | 0.219081i | ||||
\(304\) | −0.809017 | + | 0.587785i | −0.0464003 | + | 0.0337118i | ||||
\(305\) | 0.498824 | + | 0.362417i | 0.0285626 | + | 0.0207519i | ||||
\(306\) | 1.07817 | + | 3.31826i | 0.0616347 | + | 0.189692i | ||||
\(307\) | −18.2913 | −1.04394 | −0.521971 | − | 0.852963i | \(-0.674803\pi\) | ||||
−0.521971 | + | 0.852963i | \(0.674803\pi\) | |||||||
\(308\) | −3.24298 | + | 4.78832i | −0.184786 | + | 0.272840i | ||||
\(309\) | −20.9175 | −1.18996 | ||||||||
\(310\) | −0.0746267 | − | 0.229677i | −0.00423851 | − | 0.0130448i | ||||
\(311\) | 23.3956 | + | 16.9979i | 1.32665 | + | 0.963864i | 0.999824 | + | 0.0187781i | \(0.00597761\pi\) |
0.326822 | + | 0.945086i | \(0.394022\pi\) | |||||||
\(312\) | −2.03002 | + | 1.47490i | −0.114927 | + | 0.0834997i | ||||
\(313\) | 5.65605 | − | 17.4075i | 0.319699 | − | 0.983932i | −0.654078 | − | 0.756427i | \(-0.726943\pi\) |
0.973777 | − | 0.227505i | \(-0.0730567\pi\) | |||||||
\(314\) | −2.08146 | + | 6.40607i | −0.117463 | + | 0.361515i | ||||
\(315\) | 0.266560 | − | 0.193668i | 0.0150190 | − | 0.0109119i | ||||
\(316\) | 4.42963 | + | 3.21831i | 0.249186 | + | 0.181044i | ||||
\(317\) | 6.96560 | + | 21.4379i | 0.391227 | + | 1.20407i | 0.931861 | + | 0.362816i | \(0.118184\pi\) |
−0.540634 | + | 0.841258i | \(0.681816\pi\) | |||||||
\(318\) | −10.8435 | −0.608074 | ||||||||
\(319\) | −9.06472 | + | 3.27985i | −0.507527 | + | 0.183636i | ||||
\(320\) | −0.117838 | −0.00658736 | ||||||||
\(321\) | 0.188794 | + | 0.581049i | 0.0105375 | + | 0.0324310i | ||||
\(322\) | −9.74065 | − | 7.07700i | −0.542825 | − | 0.394386i | ||||
\(323\) | −1.76027 | + | 1.27891i | −0.0979439 | + | 0.0711604i | ||||
\(324\) | −0.499982 | + | 1.53879i | −0.0277768 | + | 0.0854882i | ||||
\(325\) | −3.27171 | + | 10.0693i | −0.181482 | + | 0.558544i | ||||
\(326\) | 3.66362 | − | 2.66177i | 0.202909 | − | 0.147422i | ||||
\(327\) | −7.59404 | − | 5.51739i | −0.419951 | − | 0.305113i | ||||
\(328\) | −0.190117 | − | 0.585121i | −0.0104975 | − | 0.0323079i | ||||
\(329\) | 10.6274 | 0.585908 | ||||||||
\(330\) | 0.283650 | + | 0.364477i | 0.0156144 | + | 0.0200638i | ||||
\(331\) | 8.07958 | 0.444094 | 0.222047 | − | 0.975036i | \(-0.428726\pi\) | ||||
0.222047 | + | 0.975036i | \(0.428726\pi\) | |||||||
\(332\) | 2.92563 | + | 9.00415i | 0.160565 | + | 0.494167i | ||||
\(333\) | −2.65177 | − | 1.92662i | −0.145316 | − | 0.105578i | ||||
\(334\) | −4.01602 | + | 2.91781i | −0.219747 | + | 0.159655i | ||||
\(335\) | 0.507423 | − | 1.56169i | 0.0277235 | − | 0.0853242i | ||||
\(336\) | 0.636743 | − | 1.95969i | 0.0347372 | − | 0.106910i | ||||
\(337\) | −25.5610 | + | 18.5711i | −1.39239 | + | 1.01163i | −0.396796 | + | 0.917907i | \(0.629878\pi\) |
−0.995598 | + | 0.0937270i | \(0.970122\pi\) | |||||||
\(338\) | −6.86952 | − | 4.99100i | −0.373653 | − | 0.271475i | ||||
\(339\) | 5.90123 | + | 18.1621i | 0.320511 | + | 0.986431i | ||||
\(340\) | −0.256394 | −0.0139049 | ||||||||
\(341\) | −0.224340 | − | 6.79336i | −0.0121487 | − | 0.367881i | ||||
\(342\) | 1.60355 | 0.0867101 | ||||||||
\(343\) | 5.90533 | + | 18.1747i | 0.318858 | + | 0.981343i | ||||
\(344\) | −8.12364 | − | 5.90217i | −0.437997 | − | 0.318224i | ||||
\(345\) | −0.777890 | + | 0.565170i | −0.0418802 | + | 0.0304277i | ||||
\(346\) | −0.273985 | + | 0.843239i | −0.0147295 | + | 0.0453328i | ||||
\(347\) | −8.38797 | + | 25.8155i | −0.450290 | + | 1.38585i | 0.426287 | + | 0.904588i | \(0.359821\pi\) |
−0.876577 | + | 0.481262i | \(0.840179\pi\) | |||||||
\(348\) | 2.77872 | − | 2.01885i | 0.148955 | − | 0.108222i | ||||
\(349\) | 7.66322 | + | 5.56766i | 0.410203 | + | 0.298030i | 0.773684 | − | 0.633572i | \(-0.218412\pi\) |
−0.363481 | + | 0.931602i | \(0.618412\pi\) | |||||||
\(350\) | −2.68667 | − | 8.26871i | −0.143608 | − | 0.441981i | ||||
\(351\) | 11.5514 | 0.616571 | ||||||||
\(352\) | −3.18641 | − | 0.920226i | −0.169836 | − | 0.0490482i | ||||
\(353\) | 12.0966 | 0.643837 | 0.321918 | − | 0.946767i | \(-0.395672\pi\) | ||||
0.321918 | + | 0.946767i | \(0.395672\pi\) | |||||||
\(354\) | 2.05038 | + | 6.31043i | 0.108977 | + | 0.335395i | ||||
\(355\) | −0.874565 | − | 0.635409i | −0.0464171 | − | 0.0337240i | ||||
\(356\) | −3.87851 | + | 2.81790i | −0.205561 | + | 0.149349i | ||||
\(357\) | 1.38543 | − | 4.26392i | 0.0733248 | − | 0.225671i | ||||
\(358\) | 0.835462 | − | 2.57129i | 0.0441556 | − | 0.135897i | ||||
\(359\) | 6.46948 | − | 4.70036i | 0.341446 | − | 0.248075i | −0.403825 | − | 0.914836i | \(-0.632320\pi\) |
0.745272 | + | 0.666761i | \(0.232320\pi\) | |||||||
\(360\) | 0.152872 | + | 0.111068i | 0.00805704 | + | 0.00585378i | ||||
\(361\) | 0.309017 | + | 0.951057i | 0.0162641 | + | 0.0500556i | ||||
\(362\) | −16.0464 | −0.843380 | ||||||||
\(363\) | 4.82374 | + | 12.0707i | 0.253181 | + | 0.633548i | ||||
\(364\) | −3.70254 | −0.194066 | ||||||||
\(365\) | −0.489938 | − | 1.50787i | −0.0256445 | − | 0.0789258i | ||||
\(366\) | −5.00235 | − | 3.63442i | −0.261477 | − | 0.189974i | ||||
\(367\) | −1.05669 | + | 0.767732i | −0.0551589 | + | 0.0400753i | −0.615023 | − | 0.788509i | \(-0.710853\pi\) |
0.559864 | + | 0.828584i | \(0.310853\pi\) | |||||||
\(368\) | 2.13375 | − | 6.56701i | 0.111229 | − | 0.342329i | ||||
\(369\) | −0.304863 | + | 0.938271i | −0.0158705 | + | 0.0488444i | ||||
\(370\) | 0.194867 | − | 0.141580i | 0.0101307 | − | 0.00736037i | ||||
\(371\) | −12.9445 | − | 9.40470i | −0.672043 | − | 0.488268i | ||||
\(372\) | 0.748377 | + | 2.30327i | 0.0388015 | + | 0.119419i | ||||
\(373\) | 11.9113 | 0.616744 | 0.308372 | − | 0.951266i | \(-0.400216\pi\) | ||||
0.308372 | + | 0.951266i | \(0.400216\pi\) | |||||||
\(374\) | −6.93302 | − | 2.00224i | −0.358498 | − | 0.103533i | ||||
\(375\) | −1.39058 | −0.0718092 | ||||||||
\(376\) | 1.88339 | + | 5.79649i | 0.0971286 | + | 0.298931i | ||||
\(377\) | −4.99301 | − | 3.62763i | −0.257153 | − | 0.186833i | ||||
\(378\) | −7.67418 | + | 5.57562i | −0.394717 | + | 0.286779i | ||||
\(379\) | −4.83050 | + | 14.8668i | −0.248126 | + | 0.763654i | 0.746980 | + | 0.664846i | \(0.231503\pi\) |
−0.995107 | + | 0.0988079i | \(0.968497\pi\) | |||||||
\(380\) | −0.0364140 | + | 0.112071i | −0.00186800 | + | 0.00574912i | ||||
\(381\) | 2.65755 | − | 1.93083i | 0.136151 | − | 0.0989192i | ||||
\(382\) | −18.9608 | − | 13.7758i | −0.970118 | − | 0.704832i | ||||
\(383\) | −3.81548 | − | 11.7428i | −0.194962 | − | 0.600031i | −0.999977 | − | 0.00677661i | \(-0.997843\pi\) |
0.805015 | − | 0.593254i | \(-0.202157\pi\) | |||||||
\(384\) | 1.18171 | 0.0603041 | ||||||||
\(385\) | 0.0224924 | + | 0.681107i | 0.00114632 | + | 0.0347124i | ||||
\(386\) | −8.29786 | −0.422350 | ||||||||
\(387\) | 4.97574 | + | 15.3138i | 0.252931 | + | 0.778442i | ||||
\(388\) | −9.04069 | − | 6.56845i | −0.458971 | − | 0.333462i | ||||
\(389\) | 12.2598 | − | 8.90730i | 0.621599 | − | 0.451618i | −0.231881 | − | 0.972744i | \(-0.574488\pi\) |
0.853480 | + | 0.521126i | \(0.174488\pi\) | |||||||
\(390\) | −0.0913719 | + | 0.281214i | −0.00462679 | + | 0.0142398i | ||||
\(391\) | 4.64264 | − | 14.2886i | 0.234788 | − | 0.722604i | ||||
\(392\) | −3.20334 | + | 2.32736i | −0.161793 | + | 0.117550i | ||||
\(393\) | −9.63243 | − | 6.99837i | −0.485892 | − | 0.353021i | ||||
\(394\) | −7.94653 | − | 24.4569i | −0.400340 | − | 1.23212i | ||||
\(395\) | 0.645202 | 0.0324637 | ||||||||
\(396\) | 3.26637 | + | 4.19713i | 0.164141 | + | 0.210914i | ||||
\(397\) | −1.08003 | −0.0542050 | −0.0271025 | − | 0.999633i | \(-0.508628\pi\) | ||||
−0.0271025 | + | 0.999633i | \(0.508628\pi\) | |||||||
\(398\) | −2.24992 | − | 6.92453i | −0.112778 | − | 0.347095i | ||||
\(399\) | −1.66701 | − | 1.21116i | −0.0834551 | − | 0.0606337i | ||||
\(400\) | 4.03385 | − | 2.93076i | 0.201693 | − | 0.146538i | ||||
\(401\) | 7.06012 | − | 21.7288i | 0.352566 | − | 1.08509i | −0.604842 | − | 0.796346i | \(-0.706764\pi\) |
0.957408 | − | 0.288740i | \(-0.0932363\pi\) | |||||||
\(402\) | −5.08858 | + | 15.6610i | −0.253795 | + | 0.781102i | ||||
\(403\) | 3.52058 | − | 2.55785i | 0.175372 | − | 0.127415i | ||||
\(404\) | −2.74514 | − | 1.99446i | −0.136576 | − | 0.0992282i | ||||
\(405\) | 0.0589171 | + | 0.181328i | 0.00292761 | + | 0.00901027i | ||||
\(406\) | 5.06807 | 0.251524 | ||||||||
\(407\) | 6.37494 | − | 2.30661i | 0.315994 | − | 0.114335i | ||||
\(408\) | 2.57119 | 0.127293 | ||||||||
\(409\) | 5.09464 | + | 15.6797i | 0.251914 | + | 0.775311i | 0.994422 | + | 0.105474i | \(0.0336359\pi\) |
−0.742508 | + | 0.669837i | \(0.766364\pi\) | |||||||
\(410\) | −0.0586521 | − | 0.0426133i | −0.00289662 | − | 0.00210452i | ||||
\(411\) | −0.460644 | + | 0.334678i | −0.0227219 | + | 0.0165084i | ||||
\(412\) | 5.46991 | − | 16.8347i | 0.269483 | − | 0.829384i | ||||
\(413\) | −3.02546 | + | 9.31140i | −0.148873 | + | 0.458184i | ||||
\(414\) | −8.95780 | + | 6.50822i | −0.440252 | + | 0.319862i | ||||
\(415\) | 0.902570 | + | 0.655755i | 0.0443054 | + | 0.0321898i | ||||
\(416\) | −0.656165 | − | 2.01947i | −0.0321711 | − | 0.0990126i | ||||
\(417\) | −23.3725 | −1.14456 | ||||||||
\(418\) | −1.85984 | + | 2.74609i | −0.0909678 | + | 0.134315i | ||||
\(419\) | 4.02294 | 0.196534 | 0.0982668 | − | 0.995160i | \(-0.468670\pi\) | ||||
0.0982668 | + | 0.995160i | \(0.468670\pi\) | |||||||
\(420\) | −0.0750327 | − | 0.230927i | −0.00366122 | − | 0.0112681i | ||||
\(421\) | 7.52733 | + | 5.46893i | 0.366860 | + | 0.266539i | 0.755908 | − | 0.654678i | \(-0.227196\pi\) |
−0.389048 | + | 0.921218i | \(0.627196\pi\) | |||||||
\(422\) | 7.95111 | − | 5.77682i | 0.387054 | − | 0.281211i | ||||
\(423\) | 3.02011 | − | 9.29496i | 0.146843 | − | 0.451936i | ||||
\(424\) | 2.83556 | − | 8.72697i | 0.137707 | − | 0.423819i | ||||
\(425\) | 8.77689 | − | 6.37679i | 0.425742 | − | 0.309320i | ||||
\(426\) | 8.77038 | + | 6.37205i | 0.424926 | + | 0.308727i | ||||
\(427\) | −2.81939 | − | 8.67718i | −0.136440 | − | 0.419918i | ||||
\(428\) | −0.517003 | −0.0249903 | ||||||||
\(429\) | −4.66680 | + | 6.89061i | −0.225315 | + | 0.332682i | ||||
\(430\) | −1.18326 | −0.0570618 | ||||||||
\(431\) | −0.789653 | − | 2.43030i | −0.0380362 | − | 0.117064i | 0.930236 | − | 0.366963i | \(-0.119602\pi\) |
−0.968272 | + | 0.249899i | \(0.919602\pi\) | |||||||
\(432\) | −4.40112 | − | 3.19760i | −0.211749 | − | 0.153845i | ||||
\(433\) | −31.1684 | + | 22.6452i | −1.49786 | + | 1.08826i | −0.526636 | + | 0.850091i | \(0.676547\pi\) |
−0.971224 | + | 0.238168i | \(0.923453\pi\) | |||||||
\(434\) | −1.10427 | + | 3.39860i | −0.0530068 | + | 0.163138i | ||||
\(435\) | 0.125071 | − | 0.384928i | 0.00599668 | − | 0.0184559i | ||||
\(436\) | 6.42629 | − | 4.66897i | 0.307763 | − | 0.223603i | ||||
\(437\) | −5.58623 | − | 4.05863i | −0.267226 | − | 0.194151i | ||||
\(438\) | 4.91323 | + | 15.1214i | 0.234763 | + | 0.722527i | ||||
\(439\) | 34.2110 | 1.63280 | 0.816401 | − | 0.577485i | \(-0.195966\pi\) | ||||
0.816401 | + | 0.577485i | \(0.195966\pi\) | |||||||
\(440\) | −0.367509 | + | 0.132974i | −0.0175203 | + | 0.00633928i | ||||
\(441\) | 6.34933 | 0.302349 | ||||||||
\(442\) | −1.42769 | − | 4.39398i | −0.0679083 | − | 0.209000i | ||||
\(443\) | −22.9403 | − | 16.6671i | −1.08992 | − | 0.791876i | −0.110538 | − | 0.993872i | \(-0.535257\pi\) |
−0.979386 | + | 0.201996i | \(0.935257\pi\) | |||||||
\(444\) | −1.95418 | + | 1.41980i | −0.0927415 | + | 0.0673806i | ||||
\(445\) | −0.174573 | + | 0.537280i | −0.00827554 | + | 0.0254695i | ||||
\(446\) | −0.465092 | + | 1.43141i | −0.0220228 | + | 0.0677791i | ||||
\(447\) | 5.13260 | − | 3.72905i | 0.242764 | − | 0.176378i | ||||
\(448\) | 1.41067 | + | 1.02491i | 0.0666481 | + | 0.0484227i | ||||
\(449\) | 6.09749 | + | 18.7661i | 0.287758 | + | 0.885629i | 0.985558 | + | 0.169336i | \(0.0541625\pi\) |
−0.697800 | + | 0.716293i | \(0.745838\pi\) | |||||||
\(450\) | −7.99548 | −0.376911 | ||||||||
\(451\) | −1.25321 | − | 1.61031i | −0.0590111 | − | 0.0758266i | ||||
\(452\) | −16.1602 | −0.760113 | ||||||||
\(453\) | −7.59089 | − | 23.3624i | −0.356651 | − | 1.09766i | ||||
\(454\) | 0.204927 | + | 0.148888i | 0.00961771 | + | 0.00698767i | ||||
\(455\) | −0.352975 | + | 0.256451i | −0.0165477 | + | 0.0120226i | ||||
\(456\) | 0.365170 | − | 1.12388i | 0.0171007 | − | 0.0526304i | ||||
\(457\) | 2.69412 | − | 8.29164i | 0.126025 | − | 0.387866i | −0.868061 | − | 0.496457i | \(-0.834634\pi\) |
0.994087 | + | 0.108591i | \(0.0346339\pi\) | |||||||
\(458\) | −7.07743 | + | 5.14206i | −0.330707 | + | 0.240273i | ||||
\(459\) | −9.57600 | − | 6.95737i | −0.446969 | − | 0.324742i | ||||
\(460\) | −0.251438 | − | 0.773845i | −0.0117233 | − | 0.0360807i | ||||
\(461\) | 10.8220 | 0.504033 | 0.252016 | − | 0.967723i | \(-0.418906\pi\) | ||||
0.252016 | + | 0.967723i | \(0.418906\pi\) | |||||||
\(462\) | −0.225560 | − | 6.83032i | −0.0104940 | − | 0.317775i | ||||
\(463\) | 38.6978 | 1.79844 | 0.899220 | − | 0.437496i | \(-0.144135\pi\) | ||||
0.899220 | + | 0.437496i | \(0.144135\pi\) | |||||||
\(464\) | 0.898165 | + | 2.76427i | 0.0416963 | + | 0.128328i | ||||
\(465\) | 0.230878 | + | 0.167743i | 0.0107067 | + | 0.00777887i | ||||
\(466\) | 9.99814 | − | 7.26407i | 0.463155 | − | 0.336502i | ||||
\(467\) | 2.02104 | − | 6.22011i | 0.0935224 | − | 0.287832i | −0.893343 | − | 0.449375i | \(-0.851647\pi\) |
0.986866 | + | 0.161542i | \(0.0516469\pi\) | |||||||
\(468\) | −1.05219 | + | 3.23832i | −0.0486377 | + | 0.149691i | ||||
\(469\) | −19.6575 | + | 14.2820i | −0.907699 | + | 0.659482i | ||||
\(470\) | 0.581036 | + | 0.422147i | 0.0268012 | + | 0.0194722i | ||||
\(471\) | −2.45969 | − | 7.57015i | −0.113337 | − | 0.348814i | ||||
\(472\) | −5.61487 | −0.258445 | ||||||||
\(473\) | −31.9959 | − | 9.24033i | −1.47117 | − | 0.424871i | ||||
\(474\) | −6.47027 | −0.297189 | ||||||||
\(475\) | −1.54079 | − | 4.74208i | −0.0706965 | − | 0.217581i | ||||
\(476\) | 3.06936 | + | 2.23002i | 0.140684 | + | 0.102213i | ||||
\(477\) | −11.9041 | + | 8.64885i | −0.545052 | + | 0.396004i | ||||
\(478\) | −5.94071 | + | 18.2836i | −0.271722 | + | 0.836273i | ||||
\(479\) | −10.2111 | + | 31.4264i | −0.466556 | + | 1.43591i | 0.390459 | + | 0.920620i | \(0.372316\pi\) |
−0.857015 | + | 0.515291i | \(0.827684\pi\) | |||||||
\(480\) | 0.112657 | − | 0.0818499i | 0.00514205 | − | 0.00373592i | ||||
\(481\) | 3.51143 | + | 2.55120i | 0.160107 | + | 0.116325i | ||||
\(482\) | −5.93107 | − | 18.2539i | −0.270153 | − | 0.831444i | ||||
\(483\) | 14.2280 | 0.647395 | ||||||||
\(484\) | −10.9760 | + | 0.725723i | −0.498911 | + | 0.0329874i | ||||
\(485\) | −1.31683 | −0.0597943 | ||||||||
\(486\) | 4.45240 | + | 13.7031i | 0.201965 | + | 0.621584i | ||||
\(487\) | −5.17764 | − | 3.76178i | −0.234621 | − | 0.170462i | 0.464262 | − | 0.885698i | \(-0.346320\pi\) |
−0.698884 | + | 0.715235i | \(0.746320\pi\) | |||||||
\(488\) | 4.23312 | − | 3.07554i | 0.191625 | − | 0.139223i | ||||
\(489\) | −1.65366 | + | 5.08946i | −0.0747813 | + | 0.230153i | ||||
\(490\) | −0.144183 | + | 0.443750i | −0.00651353 | + | 0.0200466i | ||||
\(491\) | 23.9935 | − | 17.4323i | 1.08281 | − | 0.786708i | 0.104639 | − | 0.994510i | \(-0.466631\pi\) |
0.978171 | + | 0.207803i | \(0.0666312\pi\) | |||||||
\(492\) | 0.588179 | + | 0.427337i | 0.0265172 | + | 0.0192659i | ||||
\(493\) | 1.95424 | + | 6.01452i | 0.0880144 | + | 0.270880i | ||||
\(494\) | −2.12340 | −0.0955361 | ||||||||
\(495\) | 0.602102 | + | 0.173886i | 0.0270625 | + | 0.00781558i | ||||
\(496\) | −2.04939 | −0.0920204 | ||||||||
\(497\) | 4.94310 | + | 15.2133i | 0.221728 | + | 0.682410i | ||||
\(498\) | −9.05122 | − | 6.57609i | −0.405595 | − | 0.294682i | ||||
\(499\) | 8.39708 | − | 6.10083i | 0.375905 | − | 0.273111i | −0.383750 | − | 0.923437i | \(-0.625368\pi\) |
0.759655 | + | 0.650326i | \(0.225368\pi\) | |||||||
\(500\) | 0.363635 | − | 1.11915i | 0.0162622 | − | 0.0500500i | ||||
\(501\) | 1.81273 | − | 5.57901i | 0.0809868 | − | 0.249252i | ||||
\(502\) | −7.09212 | + | 5.15273i | −0.316537 | + | 0.229978i | ||||
\(503\) | −4.30292 | − | 3.12625i | −0.191858 | − | 0.139393i | 0.487710 | − | 0.873006i | \(-0.337832\pi\) |
−0.679567 | + | 0.733613i | \(0.737832\pi\) | |||||||
\(504\) | −0.864040 | − | 2.65924i | −0.0384874 | − | 0.118452i | ||||
\(505\) | −0.399847 | −0.0177930 | ||||||||
\(506\) | −0.755862 | − | 22.8887i | −0.0336021 | − | 1.01753i | ||||
\(507\) | 10.0342 | 0.445633 | ||||||||
\(508\) | 0.859002 | + | 2.64374i | 0.0381120 | + | 0.117297i | ||||
\(509\) | −17.5568 | − | 12.7558i | −0.778193 | − | 0.565391i | 0.126243 | − | 0.991999i | \(-0.459708\pi\) |
−0.904436 | + | 0.426609i | \(0.859708\pi\) | |||||||
\(510\) | 0.245120 | − | 0.178090i | 0.0108541 | − | 0.00788595i | ||||
\(511\) | −7.24976 | + | 22.3125i | −0.320711 | + | 0.987046i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | −4.40112 | + | 3.19760i | −0.194314 | + | 0.141178i | ||||
\(514\) | 20.4386 | + | 14.8495i | 0.901509 | + | 0.654984i | ||||
\(515\) | −0.644565 | − | 1.98377i | −0.0284029 | − | 0.0874153i | ||||
\(516\) | 11.8660 | 0.522373 | ||||||||
\(517\) | 12.4148 | + | 15.9525i | 0.546004 | + | 0.701590i | ||||
\(518\) | −3.56422 | −0.156603 | ||||||||
\(519\) | −0.323772 | − | 0.996468i | −0.0142120 | − | 0.0437401i | ||||
\(520\) | −0.202430 | − | 0.147074i | −0.00887715 | − | 0.00644962i | ||||
\(521\) | −12.6096 | + | 9.16142i | −0.552437 | + | 0.401369i | −0.828683 | − | 0.559718i | \(-0.810910\pi\) |
0.276246 | + | 0.961087i | \(0.410910\pi\) | |||||||
\(522\) | 1.44025 | − | 4.43264i | 0.0630381 | − | 0.194011i | ||||
\(523\) | −1.07576 | + | 3.31086i | −0.0470399 | + | 0.144774i | −0.971818 | − | 0.235734i | \(-0.924251\pi\) |
0.924778 | + | 0.380508i | \(0.124251\pi\) | |||||||
\(524\) | 8.15123 | − | 5.92222i | 0.356088 | − | 0.258713i | ||||
\(525\) | 8.31192 | + | 6.03897i | 0.362762 | + | 0.263562i | ||||
\(526\) | 5.92499 | + | 18.2352i | 0.258342 | + | 0.795094i | ||||
\(527\) | −4.45909 | −0.194241 | ||||||||
\(528\) | 3.68548 | − | 1.33350i | 0.160390 | − | 0.0580331i | ||||
\(529\) | 24.6785 | 1.07298 | ||||||||
\(530\) | −0.334138 | − | 1.02837i | −0.0145140 | − | 0.0446696i | ||||
\(531\) | 7.28417 | + | 5.29226i | 0.316106 | + | 0.229664i | ||||
\(532\) | 1.41067 | − | 1.02491i | 0.0611605 | − | 0.0444357i | ||||
\(533\) | 0.403694 | − | 1.24244i | 0.0174859 | − | 0.0538162i | ||||
\(534\) | 1.75066 | − | 5.38799i | 0.0757586 | − | 0.233161i | ||||
\(535\) | −0.0492876 | + | 0.0358095i | −0.00213089 | + | 0.00154818i | ||||
\(536\) | −11.2735 | − | 8.19069i | −0.486942 | − | 0.353784i | ||||
\(537\) | 0.987278 | + | 3.03853i | 0.0426042 | + | 0.131122i | ||||
\(538\) | −8.27109 | −0.356592 | ||||||||
\(539\) | −7.36413 | + | 10.8733i | −0.317196 | + | 0.468345i | ||||
\(540\) | −0.641050 | −0.0275864 | ||||||||
\(541\) | −0.649898 | − | 2.00018i | −0.0279413 | − | 0.0859945i | 0.936113 | − | 0.351698i | \(-0.114396\pi\) |
−0.964055 | + | 0.265704i | \(0.914396\pi\) | |||||||
\(542\) | −7.35162 | − | 5.34126i | −0.315779 | − | 0.229427i | ||||
\(543\) | 15.3408 | − | 11.1457i | 0.658337 | − | 0.478309i | ||||
\(544\) | −0.672362 | + | 2.06932i | −0.0288273 | + | 0.0887213i | ||||
\(545\) | 0.289249 | − | 0.890216i | 0.0123901 | − | 0.0381327i | ||||
\(546\) | 3.53973 | − | 2.57176i | 0.151486 | − | 0.110061i | ||||
\(547\) | −8.19322 | − | 5.95272i | −0.350317 | − | 0.254520i | 0.398685 | − | 0.917088i | \(-0.369467\pi\) |
−0.749002 | + | 0.662568i | \(0.769467\pi\) | |||||||
\(548\) | −0.148894 | − | 0.458249i | −0.00636045 | − | 0.0195754i | ||||
\(549\) | −8.39046 | −0.358096 | ||||||||
\(550\) | 9.27338 | − | 13.6923i | 0.395418 | − | 0.583842i | ||||
\(551\) | 2.90652 | 0.123822 | ||||||||
\(552\) | 2.52148 | + | 7.76033i | 0.107322 | + | 0.330302i | ||||
\(553\) | −7.72389 | − | 5.61173i | −0.328453 | − | 0.238635i | ||||
\(554\) | −3.69815 | + | 2.68686i | −0.157119 | + | 0.114154i | ||||
\(555\) | −0.0879583 | + | 0.270708i | −0.00373362 | + | 0.0114909i | ||||
\(556\) | 6.11188 | − | 18.8104i | 0.259201 | − | 0.797740i | ||||
\(557\) | −0.494297 | + | 0.359127i | −0.0209440 | + | 0.0152167i | −0.598208 | − | 0.801341i | \(-0.704120\pi\) |
0.577264 | + | 0.816558i | \(0.304120\pi\) | |||||||
\(558\) | 2.65868 | + | 1.93164i | 0.112551 | + | 0.0817729i | ||||
\(559\) | −6.58880 | − | 20.2782i | −0.278676 | − | 0.857678i | ||||
\(560\) | 0.205473 | 0.00868284 | ||||||||
\(561\) | 8.01890 | − | 2.90144i | 0.338558 | − | 0.122499i | ||||
\(562\) | 1.23096 | 0.0519248 | ||||||||
\(563\) | −8.51870 | − | 26.2179i | −0.359020 | − | 1.10495i | −0.953642 | − | 0.300945i | \(-0.902698\pi\) |
0.594621 | − | 0.804006i | \(-0.297302\pi\) | |||||||
\(564\) | −5.82678 | − | 4.23341i | −0.245352 | − | 0.178259i | ||||
\(565\) | −1.54061 | + | 1.11932i | −0.0648138 | + | 0.0470900i | ||||
\(566\) | −8.16668 | + | 25.1345i | −0.343271 | + | 1.05648i | ||||
\(567\) | 0.871814 | − | 2.68317i | 0.0366127 | − | 0.112682i | ||||
\(568\) | −7.42174 | + | 5.39221i | −0.311409 | + | 0.226252i | ||||
\(569\) | −17.3837 | − | 12.6300i | −0.728765 | − | 0.529478i | 0.160408 | − | 0.987051i | \(-0.448719\pi\) |
−0.889172 | + | 0.457572i | \(0.848719\pi\) | |||||||
\(570\) | −0.0430310 | − | 0.132436i | −0.00180237 | − | 0.00554713i | ||||
\(571\) | 29.1419 | 1.21955 | 0.609775 | − | 0.792575i | \(-0.291260\pi\) | ||||
0.609775 | + | 0.792575i | \(0.291260\pi\) | |||||||
\(572\) | −4.32527 | − | 5.55778i | −0.180849 | − | 0.232382i | ||||
\(573\) | 27.6956 | 1.15700 | ||||||||
\(574\) | 0.331506 | + | 1.02027i | 0.0138368 | + | 0.0425852i | ||||
\(575\) | 27.8536 | + | 20.2368i | 1.16157 | + | 0.843933i | ||||
\(576\) | 1.29730 | − | 0.942543i | 0.0540541 | − | 0.0392726i | ||||
\(577\) | −11.1128 | + | 34.2016i | −0.462631 | + | 1.42383i | 0.399306 | + | 0.916818i | \(0.369251\pi\) |
−0.861938 | + | 0.507014i | \(0.830749\pi\) | |||||||
\(578\) | 3.79036 | − | 11.6655i | 0.157658 | − | 0.485222i | ||||
\(579\) | 7.93298 | − | 5.76365i | 0.329684 | − | 0.239529i | ||||
\(580\) | 0.277088 | + | 0.201316i | 0.0115055 | + | 0.00835920i | ||||
\(581\) | −5.10138 | − | 15.7004i | −0.211641 | − | 0.651364i | ||||
\(582\) | 13.2056 | 0.547388 | ||||||||
\(583\) | −1.00447 | − | 30.4170i | −0.0416010 | − | 1.25974i | ||||
\(584\) | −13.4547 | −0.556757 | ||||||||
\(585\) | 0.123989 | + | 0.381598i | 0.00512630 | + | 0.0157771i | ||||
\(586\) | 5.10406 | + | 3.70832i | 0.210847 | + | 0.153189i | ||||
\(587\) | −32.1187 | + | 23.3356i | −1.32568 | + | 0.963162i | −0.325836 | + | 0.945426i | \(0.605646\pi\) |
−0.999843 | + | 0.0177358i | \(0.994354\pi\) | |||||||
\(588\) | 1.44591 | − | 4.45005i | 0.0596283 | − | 0.183517i | ||||
\(589\) | −0.633297 | + | 1.94909i | −0.0260946 | + | 0.0803108i | ||||
\(590\) | −0.535284 | + | 0.388906i | −0.0220373 | + | 0.0160110i | ||||
\(591\) | 24.5847 | + | 17.8618i | 1.01128 | + | 0.734738i | ||||
\(592\) | −0.631651 | − | 1.94402i | −0.0259607 | − | 0.0798989i | ||||
\(593\) | −16.7269 | −0.686892 | −0.343446 | − | 0.939172i | \(-0.611594\pi\) | ||||
−0.343446 | + | 0.939172i | \(0.611594\pi\) | |||||||
\(594\) | −17.3343 | − | 5.00611i | −0.711236 | − | 0.205403i | ||||
\(595\) | 0.447071 | 0.0183281 | ||||||||
\(596\) | 1.65901 | + | 5.10592i | 0.0679558 | + | 0.209146i | ||||
\(597\) | 6.96072 | + | 5.05726i | 0.284883 | + | 0.206980i | ||||
\(598\) | 11.8618 | − | 8.61808i | 0.485064 | − | 0.352420i | ||||
\(599\) | 13.4287 | − | 41.3293i | 0.548682 | − | 1.68867i | −0.163388 | − | 0.986562i | \(-0.552242\pi\) |
0.712070 | − | 0.702108i | \(-0.247758\pi\) | |||||||
\(600\) | −1.82078 | + | 5.60378i | −0.0743330 | + | 0.228773i | ||||
\(601\) | 4.87881 | − | 3.54467i | 0.199011 | − | 0.144590i | −0.483817 | − | 0.875169i | \(-0.660750\pi\) |
0.682828 | + | 0.730579i | \(0.260750\pi\) | |||||||
\(602\) | 14.1651 | + | 10.2915i | 0.577326 | + | 0.419452i | ||||
\(603\) | 6.90504 | + | 21.2515i | 0.281195 | + | 0.865430i | ||||
\(604\) | 20.7873 | 0.845823 | ||||||||
\(605\) | −0.996114 | + | 0.829426i | −0.0404978 | + | 0.0337209i | ||||
\(606\) | 4.00977 | 0.162886 | ||||||||
\(607\) | 13.4942 | + | 41.5307i | 0.547711 | + | 1.68568i | 0.714456 | + | 0.699680i | \(0.246674\pi\) |
−0.166745 | + | 0.986000i | \(0.553326\pi\) | |||||||
\(608\) | 0.809017 | + | 0.587785i | 0.0328100 | + | 0.0238378i | ||||
\(609\) | −4.84521 | + | 3.52025i | −0.196338 | + | 0.142648i | ||||
\(610\) | 0.190534 | − | 0.586403i | 0.00771449 | − | 0.0237428i | ||||
\(611\) | −3.99919 | + | 12.3082i | −0.161790 | + | 0.497938i | ||||
\(612\) | 2.82268 | − | 2.05079i | 0.114100 | − | 0.0828985i | ||||
\(613\) | 17.8057 | + | 12.9366i | 0.719166 | + | 0.522505i | 0.886118 | − | 0.463461i | \(-0.153392\pi\) |
−0.166952 | + | 0.985965i | \(0.553392\pi\) | |||||||
\(614\) | 5.65233 | + | 17.3961i | 0.228110 | + | 0.702049i | ||||
\(615\) | 0.0856720 | 0.00345463 | ||||||||
\(616\) | 5.55610 | + | 1.60459i | 0.223862 | + | 0.0646507i | ||||
\(617\) | 2.73799 | 0.110227 | 0.0551137 | − | 0.998480i | \(-0.482448\pi\) | ||||
0.0551137 | + | 0.998480i | \(0.482448\pi\) | |||||||
\(618\) | 6.46388 | + | 19.8938i | 0.260015 | + | 0.800245i | ||||
\(619\) | −17.2900 | − | 12.5619i | −0.694942 | − | 0.504905i | 0.183339 | − | 0.983050i | \(-0.441309\pi\) |
−0.878281 | + | 0.478145i | \(0.841309\pi\) | |||||||
\(620\) | −0.195375 | + | 0.141948i | −0.00784646 | + | 0.00570078i | ||||
\(621\) | 11.6078 | − | 35.7251i | 0.465804 | − | 1.43360i | ||||
\(622\) | 8.93634 | − | 27.5032i | 0.358315 | − | 1.10278i | ||||
\(623\) | 6.76292 | − | 4.91355i | 0.270951 | − | 0.196857i | ||||
\(624\) | 2.03002 | + | 1.47490i | 0.0812660 | + | 0.0590432i | ||||
\(625\) | 7.66112 | + | 23.5785i | 0.306445 | + | 0.943140i | ||||
\(626\) | −18.3034 | −0.731549 | ||||||||
\(627\) | −0.129358 | − | 3.91717i | −0.00516607 | − | 0.156437i | ||||
\(628\) | 6.73574 | 0.268785 | ||||||||
\(629\) | −1.37435 | − | 4.22983i | −0.0547991 | − | 0.168654i | ||||
\(630\) | −0.266560 | − | 0.193668i | −0.0106200 | − | 0.00771590i | ||||
\(631\) | 26.0784 | − | 18.9470i | 1.03816 | − | 0.754270i | 0.0682371 | − | 0.997669i | \(-0.478263\pi\) |
0.969926 | + | 0.243399i | \(0.0782626\pi\) | |||||||
\(632\) | 1.69197 | − | 5.20734i | 0.0673028 | − | 0.207137i | ||||
\(633\) | −3.58893 | + | 11.0456i | −0.142647 | + | 0.439023i | ||||
\(634\) | 18.2362 | − | 13.2494i | 0.724251 | − | 0.526199i | ||||
\(635\) | 0.265006 | + | 0.192538i | 0.0105164 | + | 0.00764065i | ||||
\(636\) | 3.35083 | + | 10.3128i | 0.132869 | + | 0.408929i | ||||
\(637\) | −8.40769 | −0.333125 | ||||||||
\(638\) | 5.92047 | + | 7.60754i | 0.234394 | + | 0.301185i | ||||
\(639\) | 14.7106 | 0.581943 | ||||||||
\(640\) | 0.0364140 | + | 0.112071i | 0.00143939 | + | 0.00442999i | ||||
\(641\) | −20.7925 | − | 15.1067i | −0.821255 | − | 0.596677i | 0.0958166 | − | 0.995399i | \(-0.469454\pi\) |
−0.917072 | + | 0.398722i | \(0.869454\pi\) | |||||||
\(642\) | 0.494269 | − | 0.359108i | 0.0195073 | − | 0.0141729i | ||||
\(643\) | −2.05507 | + | 6.32486i | −0.0810442 | + | 0.249428i | −0.983366 | − | 0.181634i | \(-0.941861\pi\) |
0.902322 | + | 0.431063i | \(0.141861\pi\) | |||||||
\(644\) | −3.72060 | + | 11.4508i | −0.146612 | + | 0.451226i | ||||
\(645\) | 1.13123 | − | 0.821885i | 0.0445420 | − | 0.0323617i | ||||
\(646\) | 1.76027 | + | 1.27891i | 0.0692568 | + | 0.0503180i | ||||
\(647\) | −9.34865 | − | 28.7722i | −0.367533 | − | 1.13115i | −0.948380 | − | 0.317138i | \(-0.897278\pi\) |
0.580846 | − | 0.814013i | \(-0.302722\pi\) | |||||||
\(648\) | 1.61798 | 0.0635602 | ||||||||
\(649\) | −17.5114 | + | 6.33606i | −0.687382 | + | 0.248712i | ||||
\(650\) | 10.5875 | 0.415276 | ||||||||
\(651\) | −1.30494 | − | 4.01618i | −0.0511445 | − | 0.157407i | ||||
\(652\) | −3.66362 | − | 2.66177i | −0.143478 | − | 0.104243i | ||||
\(653\) | −12.9982 | + | 9.44375i | −0.508659 | + | 0.369562i | −0.812315 | − | 0.583219i | \(-0.801793\pi\) |
0.303656 | + | 0.952782i | \(0.401793\pi\) | |||||||
\(654\) | −2.90067 | + | 8.92733i | −0.113425 | + | 0.349086i | ||||
\(655\) | 0.366889 | − | 1.12917i | 0.0143355 | − | 0.0441202i | ||||
\(656\) | −0.497734 | + | 0.361625i | −0.0194332 | + | 0.0141191i | ||||
\(657\) | 17.4547 | + | 12.6816i | 0.680973 | + | 0.494756i | ||||
\(658\) | −3.28405 | − | 10.1073i | −0.128026 | − | 0.394022i | ||||
\(659\) | −8.59809 | −0.334934 | −0.167467 | − | 0.985878i | \(-0.553559\pi\) | ||||
−0.167467 | + | 0.985878i | \(0.553559\pi\) | |||||||
\(660\) | 0.258985 | − | 0.382396i | 0.0100810 | − | 0.0148848i | ||||
\(661\) | −24.7734 | −0.963573 | −0.481787 | − | 0.876289i | \(-0.660012\pi\) | ||||
−0.481787 | + | 0.876289i | \(0.660012\pi\) | |||||||
\(662\) | −2.49673 | − | 7.68414i | −0.0970381 | − | 0.298652i | ||||
\(663\) | 4.41695 | + | 3.20910i | 0.171540 | + | 0.124631i | ||||
\(664\) | 7.65939 | − | 5.56487i | 0.297242 | − | 0.215959i | ||||
\(665\) | 0.0634948 | − | 0.195417i | 0.00246222 | − | 0.00757794i | ||||
\(666\) | −1.01288 | + | 3.11734i | −0.0392485 | + | 0.120794i | ||||
\(667\) | −16.2365 | + | 11.7965i | −0.628680 | + | 0.456763i | ||||
\(668\) | 4.01602 | + | 2.91781i | 0.155384 | + | 0.112893i | ||||
\(669\) | −0.549606 | − | 1.69151i | −0.0212490 | − | 0.0653977i | ||||
\(670\) | −1.64206 | −0.0634382 | ||||||||
\(671\) | 9.73148 | − | 14.3687i | 0.375680 | − | 0.554698i | ||||
\(672\) | −2.06054 | −0.0794872 | ||||||||
\(673\) | −12.1070 | − | 37.2614i | −0.466689 | − | 1.43632i | −0.856846 | − | 0.515572i | \(-0.827579\pi\) |
0.390157 | − | 0.920748i | \(-0.372421\pi\) | |||||||
\(674\) | 25.5610 | + | 18.5711i | 0.984571 | + | 0.715333i | ||||
\(675\) | 21.9445 | − | 15.9436i | 0.844644 | − | 0.613670i | ||||
\(676\) | −2.62392 | + | 8.07560i | −0.100920 | + | 0.310600i | ||||
\(677\) | 5.29532 | − | 16.2973i | 0.203516 | − | 0.626356i | −0.796256 | − | 0.604960i | \(-0.793189\pi\) |
0.999771 | − | 0.0213960i | \(-0.00681109\pi\) | |||||||
\(678\) | 15.4496 | − | 11.2248i | 0.593339 | − | 0.431086i | ||||
\(679\) | 15.7641 | + | 11.4533i | 0.604973 | + | 0.439538i | ||||
\(680\) | 0.0792301 | + | 0.243845i | 0.00303833 | + | 0.00935103i | ||||
\(681\) | −0.299333 | −0.0114705 | ||||||||
\(682\) | −6.39155 | + | 2.31262i | −0.244745 | + | 0.0885550i | ||||
\(683\) | 45.1219 | 1.72654 | 0.863271 | − | 0.504740i | \(-0.168412\pi\) | ||||
0.863271 | + | 0.504740i | \(0.168412\pi\) | |||||||
\(684\) | −0.495524 | − | 1.52507i | −0.0189468 | − | 0.0583124i | ||||
\(685\) | −0.0459346 | − | 0.0333734i | −0.00175507 | − | 0.00127513i | ||||
\(686\) | 15.4604 | − | 11.2326i | 0.590279 | − | 0.428863i | ||||
\(687\) | 3.19458 | − | 9.83189i | 0.121881 | − | 0.375110i | ||||
\(688\) | −3.10295 | + | 9.54991i | −0.118299 | + | 0.364087i | ||||
\(689\) | 15.7632 | − | 11.4527i | 0.600532 | − | 0.436312i | ||||
\(690\) | 0.777890 | + | 0.565170i | 0.0296138 | + | 0.0215157i | ||||
\(691\) | −2.25598 | − | 6.94318i | −0.0858214 | − | 0.264131i | 0.898932 | − | 0.438089i | \(-0.144344\pi\) |
−0.984753 | + | 0.173958i | \(0.944344\pi\) | |||||||
\(692\) | 0.886634 | 0.0337048 | ||||||||
\(693\) | −5.69553 | − | 7.31850i | −0.216355 | − | 0.278007i | ||||
\(694\) | 27.1440 | 1.03037 | ||||||||
\(695\) | −0.720214 | − | 2.21659i | −0.0273193 | − | 0.0840800i | ||||
\(696\) | −2.77872 | − | 2.01885i | −0.105327 | − | 0.0765245i | ||||
\(697\) | −1.08297 | + | 0.786827i | −0.0410206 | + | 0.0298032i | ||||
\(698\) | 2.92709 | − | 9.00866i | 0.110792 | − | 0.340983i | ||||
\(699\) | −4.51291 | + | 13.8893i | −0.170694 | + | 0.525342i | ||||
\(700\) | −7.03378 | + | 5.11034i | −0.265852 | + | 0.193153i | ||||
\(701\) | 23.4387 | + | 17.0292i | 0.885268 | + | 0.643185i | 0.934640 | − | 0.355596i | \(-0.115722\pi\) |
−0.0493722 | + | 0.998780i | \(0.515722\pi\) | |||||||
\(702\) | −3.56959 | − | 10.9861i | −0.134726 | − | 0.414643i | ||||
\(703\) | −2.04407 | −0.0770934 | ||||||||
\(704\) | 0.109466 | + | 3.31482i | 0.00412567 | + | 0.124932i | ||||
\(705\) | −0.848707 | −0.0319642 | ||||||||
\(706\) | −3.73805 | − | 11.5045i | −0.140683 | − | 0.432979i | ||||
\(707\) | 4.78667 | + | 3.47772i | 0.180021 | + | 0.130793i | ||||
\(708\) | 5.36797 | − | 3.90006i | 0.201741 | − | 0.146573i | ||||
\(709\) | 10.3751 | − | 31.9313i | 0.389645 | − | 1.19920i | −0.543409 | − | 0.839468i | \(-0.682867\pi\) |
0.933054 | − | 0.359736i | \(-0.117133\pi\) | |||||||
\(710\) | −0.334054 | + | 1.02811i | −0.0125368 | + | 0.0385844i | ||||
\(711\) | −7.10313 | + | 5.16072i | −0.266388 | + | 0.193542i | ||||
\(712\) | 3.87851 | + | 2.81790i | 0.145353 | + | 0.105605i | ||||
\(713\) | −4.37289 | − | 13.4584i | −0.163766 | − | 0.504020i | ||||
\(714\) | −4.48335 | −0.167785 | ||||||||
\(715\) | −0.797294 | − | 0.230257i | −0.0298171 | − | 0.00861111i | ||||
\(716\) | −2.70361 | −0.101039 | ||||||||
\(717\) | −7.02022 | − | 21.6060i | −0.262175 | − | 0.806891i | ||||
\(718\) | −6.46948 | − | 4.70036i | −0.241439 | − | 0.175416i | ||||
\(719\) | −8.70969 | + | 6.32796i | −0.324817 | + | 0.235993i | −0.738228 | − | 0.674551i | \(-0.764337\pi\) |
0.413411 | + | 0.910544i | \(0.364337\pi\) | |||||||
\(720\) | 0.0583917 | − | 0.179711i | 0.00217613 | − | 0.00669745i | ||||
\(721\) | −9.53782 | + | 29.3544i | −0.355207 | + | 1.09322i | ||||
\(722\) | 0.809017 | − | 0.587785i | 0.0301085 | − | 0.0218751i | ||||
\(723\) | 18.3494 | + | 13.3316i | 0.682420 | + | 0.495807i | ||||
\(724\) | 4.95861 | + | 15.2610i | 0.184285 | + | 0.567172i | ||||
\(725\) | −14.4923 | −0.538229 | ||||||||
\(726\) | 9.98931 | − | 8.31770i | 0.370738 | − | 0.308699i | ||||
\(727\) | −6.94503 | −0.257577 | −0.128788 | − | 0.991672i | \(-0.541109\pi\) | ||||
−0.128788 | + | 0.991672i | \(0.541109\pi\) | |||||||
\(728\) | 1.14415 | + | 3.52133i | 0.0424049 | + | 0.130509i | ||||
\(729\) | −17.7016 | − | 12.8610i | −0.655615 | − | 0.476332i | ||||
\(730\) | −1.28268 | + | 0.931918i | −0.0474739 | + | 0.0344918i | ||||
\(731\) | −6.75144 | + | 20.7788i | −0.249711 | + | 0.768531i | ||||
\(732\) | −1.91073 | + | 5.88061i | −0.0706225 | + | 0.217354i | ||||
\(733\) | −23.8218 | + | 17.3075i | −0.879878 | + | 0.639268i | −0.933219 | − | 0.359308i | \(-0.883013\pi\) |
0.0533415 | + | 0.998576i | \(0.483013\pi\) | |||||||
\(734\) | 1.05669 | + | 0.767732i | 0.0390032 | + | 0.0283375i | ||||
\(735\) | −0.170383 | − | 0.524386i | −0.00628469 | − | 0.0193423i | ||||
\(736\) | −6.90496 | −0.254520 | ||||||||
\(737\) | −44.4020 | − | 12.8232i | −1.63557 | − | 0.472348i | ||||
\(738\) | 0.986557 | 0.0363157 | ||||||||
\(739\) | −13.0387 | − | 40.1289i | −0.479635 | − | 1.47617i | −0.839603 | − | 0.543201i | \(-0.817212\pi\) |
0.359967 | − | 0.932965i | \(-0.382788\pi\) | |||||||
\(740\) | −0.194867 | − | 0.141580i | −0.00716347 | − | 0.00520457i | ||||
\(741\) | 2.03002 | − | 1.47490i | 0.0745748 | − | 0.0541818i | ||||
\(742\) | −4.94434 | + | 15.2171i | −0.181513 | + | 0.558638i | ||||
\(743\) | 9.82253 | − | 30.2306i | 0.360354 | − | 1.10905i | −0.592486 | − | 0.805581i | \(-0.701853\pi\) |
0.952840 | − | 0.303474i | \(-0.0981465\pi\) | |||||||
\(744\) | 1.95928 | − | 1.42350i | 0.0718305 | − | 0.0521879i | ||||
\(745\) | 0.511813 | + | 0.371854i | 0.0187514 | + | 0.0136237i | ||||
\(746\) | −3.68080 | − | 11.3283i | −0.134764 | − | 0.414759i | ||||
\(747\) | −15.1817 | −0.555468 | ||||||||
\(748\) | 0.238178 | + | 7.21241i | 0.00870866 | + | 0.263712i | ||||
\(749\) | 0.901493 | 0.0329398 | ||||||||
\(750\) | 0.429713 | + | 1.32252i | 0.0156909 | + | 0.0482916i | ||||
\(751\) | −10.2131 | − | 7.42024i | −0.372681 | − | 0.270768i | 0.385641 | − | 0.922649i | \(-0.373980\pi\) |
−0.758322 | + | 0.651881i | \(0.773980\pi\) | |||||||
\(752\) | 4.93079 | − | 3.58243i | 0.179807 | − | 0.130638i | ||||
\(753\) | 3.20121 | − | 9.85230i | 0.116658 | − | 0.359038i | ||||
\(754\) | −1.90716 | + | 5.86963i | −0.0694546 | + | 0.213759i | ||||
\(755\) | 1.98172 | − | 1.43980i | 0.0721222 | − | 0.0523998i | ||||
\(756\) | 7.67418 | + | 5.57562i | 0.279107 | + | 0.202783i | ||||
\(757\) | −4.62211 | − | 14.2254i | −0.167994 | − | 0.517031i | 0.831251 | − | 0.555898i | \(-0.187625\pi\) |
−0.999244 | + | 0.0388664i | \(0.987625\pi\) | |||||||
\(758\) | 15.6318 | 0.567774 | ||||||||
\(759\) | 16.6210 | + | 21.3572i | 0.603303 | + | 0.775217i | ||||
\(760\) | 0.117838 | 0.00427445 | ||||||||
\(761\) | −15.6462 | − | 48.1539i | −0.567173 | − | 1.74558i | −0.661405 | − | 0.750029i | \(-0.730039\pi\) |
0.0942319 | − | 0.995550i | \(-0.469961\pi\) | |||||||
\(762\) | −2.65755 | − | 1.93083i | −0.0962730 | − | 0.0699464i | ||||
\(763\) | −11.2054 | + | 8.14124i | −0.405665 | + | 0.294733i | ||||
\(764\) | −7.24238 | + | 22.2897i | −0.262020 | + | 0.806415i | ||||
\(765\) | 0.127049 | − | 0.391018i | 0.00459348 | − | 0.0141373i | ||||
\(766\) | −9.98905 | + | 7.25747i | −0.360919 | + | 0.262223i | ||||
\(767\) | −9.64557 | − | 7.00792i | −0.348282 | − | 0.253041i | ||||
\(768\) | −0.365170 | − | 1.12388i | −0.0131769 | − | 0.0405544i | ||||
\(769\) | 29.6272 | 1.06839 | 0.534193 | − | 0.845363i | \(-0.320616\pi\) | ||||
0.534193 | + | 0.845363i | \(0.320616\pi\) | |||||||
\(770\) | 0.640821 | − | 0.231865i | 0.0230936 | − | 0.00835584i | ||||
\(771\) | −29.8543 | −1.07518 | ||||||||
\(772\) | 2.56418 | + | 7.89174i | 0.0922869 | + | 0.284030i | ||||
\(773\) | −2.56970 | − | 1.86699i | −0.0924255 | − | 0.0671511i | 0.540613 | − | 0.841272i | \(-0.318192\pi\) |
−0.633038 | + | 0.774120i | \(0.718192\pi\) | |||||||
\(774\) | 13.0267 | − | 9.46442i | 0.468234 | − | 0.340192i | ||||
\(775\) | 3.15769 | − | 9.71838i | 0.113428 | − | 0.349094i | ||||
\(776\) | −3.45324 | + | 10.6280i | −0.123964 | + | 0.381522i | ||||
\(777\) | 3.40749 | − | 2.47569i | 0.122243 | − | 0.0888147i | ||||
\(778\) | −12.2598 | − | 8.90730i | −0.439537 | − | 0.319342i | ||||
\(779\) | 0.190117 | + | 0.585121i | 0.00681166 | + | 0.0209641i | ||||
\(780\) | 0.295686 | 0.0105872 | ||||||||
\(781\) | −17.0618 | + | 25.1920i | −0.610518 | + | 0.901440i | ||||
\(782\) | −15.0239 | −0.537253 | ||||||||
\(783\) | 4.88609 | + | 15.0378i | 0.174615 | + | 0.537409i | ||||
\(784\) | 3.20334 | + | 2.32736i | 0.114405 | + | 0.0831202i | ||||
\(785\) | 0.642140 | − | 0.466542i | 0.0229190 | − | 0.0166516i | ||||
\(786\) | −3.67926 | + | 11.3236i | −0.131235 | + | 0.403899i | ||||
\(787\) | −7.93976 | + | 24.4361i | −0.283022 | + | 0.871052i | 0.703963 | + | 0.710237i | \(0.251412\pi\) |
−0.986985 | + | 0.160815i | \(0.948588\pi\) | |||||||
\(788\) | −20.8043 | + | 15.1152i | −0.741122 | + | 0.538456i | ||||
\(789\) | −18.3305 | − | 13.3179i | −0.652585 | − | 0.474130i | ||||
\(790\) | −0.199379 | − | 0.613624i | −0.00709357 | − | 0.0218318i | ||||
\(791\) | 28.1784 | 1.00191 | ||||||||
\(792\) | 2.98235 | − | 4.40349i | 0.105973 | − | 0.156471i | ||||
\(793\) | 11.1105 | 0.394546 | ||||||||
\(794\) | 0.333746 | + | 1.02717i | 0.0118442 | + | 0.0364528i | ||||
\(795\) | 1.03375 | + | 0.751061i | 0.0366632 | + | 0.0266374i | ||||
\(796\) | −5.89035 | + | 4.27959i | −0.208778 | + | 0.151686i | ||||
\(797\) | −10.3187 | + | 31.7577i | −0.365508 | + | 1.12492i | 0.584155 | + | 0.811642i | \(0.301426\pi\) |
−0.949663 | + | 0.313274i | \(0.898574\pi\) | |||||||
\(798\) | −0.636743 | + | 1.95969i | −0.0225405 | + | 0.0693724i | ||||
\(799\) | 10.7285 | − | 7.79468i | 0.379545 | − | 0.275756i | ||||
\(800\) | −4.03385 | − | 2.93076i | −0.142618 | − | 0.103618i | ||||
\(801\) | −2.37560 | − | 7.31133i | −0.0839375 | − | 0.258333i | ||||
\(802\) | −22.8470 | −0.806757 | ||||||||
\(803\) | −41.9617 | + | 15.1828i | −1.48080 | + | 0.535790i | ||||
\(804\) | 16.4670 | 0.580746 | ||||||||
\(805\) | 0.438429 | + | 1.34935i | 0.0154526 | + | 0.0475582i | ||||
\(806\) | −3.52058 | − | 2.55785i | −0.124007 | − | 0.0900963i | ||||
\(807\) | 7.90739 | − | 5.74506i | 0.278353 | − | 0.202236i | ||||
\(808\) | −1.04855 | + | 3.22711i | −0.0368879 | + | 0.113529i | ||||
\(809\) | 5.98968 | − | 18.4343i | 0.210586 | − | 0.648116i | −0.788852 | − | 0.614583i | \(-0.789324\pi\) |
0.999438 | − | 0.0335329i | \(-0.0106759\pi\) | |||||||
\(810\) | 0.154247 | − | 0.112067i | 0.00541969 | − | 0.00393763i | ||||
\(811\) | 38.9301 | + | 28.2844i | 1.36702 | + | 0.993200i | 0.997963 | + | 0.0637935i | \(0.0203199\pi\) |
0.369059 | + | 0.929406i | \(0.379680\pi\) | |||||||
\(812\) | −1.56612 | − | 4.82002i | −0.0549600 | − | 0.169150i | ||||
\(813\) | 10.7384 | 0.376611 | ||||||||
\(814\) | −4.16369 | − | 5.35014i | −0.145937 | − | 0.187522i | ||||
\(815\) | −0.533629 | −0.0186922 | ||||||||
\(816\) | −0.794541 | − | 2.44534i | −0.0278145 | − | 0.0856042i | ||||
\(817\) | 8.12364 | + | 5.90217i | 0.284210 | + | 0.206491i | ||||
\(818\) | 13.3379 | − | 9.69058i | 0.466350 | − | 0.338823i | ||||
\(819\) | 1.83470 | − | 5.64662i | 0.0641096 | − | 0.197309i | ||||
\(820\) | −0.0224031 | + | 0.0689497i | −0.000782351 | + | 0.00240783i | ||||
\(821\) | −20.8040 | + | 15.1150i | −0.726063 | + | 0.527516i | −0.888316 | − | 0.459233i | \(-0.848124\pi\) |
0.162252 | + | 0.986749i | \(0.448124\pi\) | |||||||
\(822\) | 0.460644 | + | 0.334678i | 0.0160668 | + | 0.0116732i | ||||
\(823\) | −11.5079 | − | 35.4176i | −0.401139 | − | 1.23458i | −0.924076 | − | 0.382208i | \(-0.875164\pi\) |
0.522937 | − | 0.852371i | \(-0.324836\pi\) | |||||||
\(824\) | −17.7010 | −0.616644 | ||||||||
\(825\) | 0.644994 | + | 19.5315i | 0.0224558 | + | 0.679998i | ||||
\(826\) | 9.79059 | 0.340658 | ||||||||
\(827\) | 6.97834 | + | 21.4771i | 0.242661 | + | 0.746833i | 0.996012 | + | 0.0892150i | \(0.0284358\pi\) |
−0.753352 | + | 0.657618i | \(0.771564\pi\) | |||||||
\(828\) | 8.95780 | + | 6.50822i | 0.311305 | + | 0.226176i | ||||
\(829\) | −27.7912 | + | 20.1915i | −0.965229 | + | 0.701280i | −0.954359 | − | 0.298661i | \(-0.903460\pi\) |
−0.0108696 | + | 0.999941i | \(0.503460\pi\) | |||||||
\(830\) | 0.344751 | − | 1.06103i | 0.0119665 | − | 0.0368290i | ||||
\(831\) | 1.66925 | − | 5.13743i | 0.0579057 | − | 0.178215i | ||||
\(832\) | −1.71786 | + | 1.24810i | −0.0595562 | + | 0.0432701i | ||||
\(833\) | 6.96987 | + | 5.06390i | 0.241492 | + | 0.175454i | ||||
\(834\) | 7.22250 | + | 22.2286i | 0.250095 | + | 0.769712i | ||||
\(835\) | 0.584958 | 0.0202433 | ||||||||
\(836\) | 3.18641 | + | 0.920226i | 0.110204 | + | 0.0318267i | ||||
\(837\) | −11.1489 | −0.385361 | ||||||||
\(838\) | −1.24316 | − | 3.82604i | −0.0429441 | − | 0.132169i | ||||
\(839\) | −2.47258 | − | 1.79643i | −0.0853630 | − | 0.0620198i | 0.544285 | − | 0.838900i | \(-0.316801\pi\) |
−0.629648 | + | 0.776880i | \(0.716801\pi\) | |||||||
\(840\) | −0.196438 | + | 0.142721i | −0.00677776 | + | 0.00492433i | ||||
\(841\) | −6.35096 | + | 19.5462i | −0.218999 | + | 0.674008i | ||||
\(842\) | 2.87519 | − | 8.84891i | 0.0990854 | − | 0.304954i | ||||
\(843\) | −1.17683 | + | 0.855016i | −0.0405321 | + | 0.0294483i | ||||
\(844\) | −7.95111 | − | 5.77682i | −0.273689 | − | 0.198846i | ||||
\(845\) | 0.309199 | + | 0.951616i | 0.0106368 | + | 0.0327366i | ||||
\(846\) | −9.77330 | −0.336013 | ||||||||
\(847\) | 19.1388 | − | 1.26543i | 0.657617 | − | 0.0434809i | ||||
\(848\) | −9.17608 | −0.315108 | ||||||||
\(849\) | −9.65069 | − | 29.7018i | −0.331211 | − | 1.01936i | ||||
\(850\) | −8.77689 | − | 6.37679i | −0.301045 | − | 0.218722i | ||||
\(851\) | 11.4186 | − | 8.29612i | 0.391426 | − | 0.284387i | ||||
\(852\) | 3.34999 | − | 10.3102i | 0.114769 | − | 0.353222i | ||||
\(853\) | −1.01187 | + | 3.11423i | −0.0346459 | + | 0.106629i | −0.966884 | − | 0.255217i | \(-0.917853\pi\) |
0.932238 | + | 0.361846i | \(0.117853\pi\) | |||||||
\(854\) | −7.38125 | + | 5.36279i | −0.252581 | + | 0.183511i | ||||
\(855\) | −0.152872 | − | 0.111068i | −0.00522810 | − | 0.00379844i | ||||
\(856\) | 0.159763 | + | 0.491699i | 0.00546058 | + | 0.0168059i | ||||
\(857\) | −6.04478 | −0.206486 | −0.103243 | − | 0.994656i | \(-0.532922\pi\) | ||||
−0.103243 | + | 0.994656i | \(0.532922\pi\) | |||||||
\(858\) | 7.99548 | + | 2.30908i | 0.272961 | + | 0.0788305i | ||||
\(859\) | 1.52525 | 0.0520409 | 0.0260204 | − | 0.999661i | \(-0.491717\pi\) | ||||
0.0260204 | + | 0.999661i | \(0.491717\pi\) | |||||||
\(860\) | 0.365647 | + | 1.12535i | 0.0124685 | + | 0.0383740i | ||||
\(861\) | −1.02560 | − | 0.745143i | −0.0349524 | − | 0.0253944i | ||||
\(862\) | −2.06734 | + | 1.50201i | −0.0704138 | + | 0.0511586i | ||||
\(863\) | −11.2931 | + | 34.7567i | −0.384423 | + | 1.18313i | 0.552475 | + | 0.833529i | \(0.313683\pi\) |
−0.936898 | + | 0.349602i | \(0.886317\pi\) | |||||||
\(864\) | −1.68108 | + | 5.17383i | −0.0571914 | + | 0.176017i | ||||
\(865\) | 0.0845257 | − | 0.0614115i | 0.00287396 | − | 0.00208805i | ||||
\(866\) | 31.1684 | + | 22.6452i | 1.05915 | + | 0.769515i | ||||
\(867\) | 4.47912 | + | 13.7853i | 0.152119 | + | 0.468174i | ||||
\(868\) | 3.57350 | 0.121293 | ||||||||
\(869\) | −0.599364 | − | 18.1497i | −0.0203320 | − | 0.615686i | ||||
\(870\) | −0.404737 | −0.0137219 | ||||||||
\(871\) | −9.14355 | − | 28.1409i | −0.309817 | − | 0.953520i | ||||
\(872\) | −6.42629 | − | 4.66897i | −0.217622 | − | 0.158111i | ||||
\(873\) | 14.4972 | − | 10.5328i | 0.490656 | − | 0.356482i | ||||
\(874\) | −2.13375 | + | 6.56701i | −0.0721752 | + | 0.222132i | ||||
\(875\) | −0.634066 | + | 1.95145i | −0.0214353 | + | 0.0659712i | ||||
\(876\) | 12.8630 | − | 9.34553i | 0.434601 | − | 0.315756i | ||||
\(877\) | 6.61954 | + | 4.80938i | 0.223526 | + | 0.162401i | 0.693912 | − | 0.720059i | \(-0.255885\pi\) |
−0.470386 | + | 0.882461i | \(0.655885\pi\) | |||||||
\(878\) | −10.5718 | − | 32.5366i | −0.356780 | − | 1.09806i | ||||
\(879\) | −7.45540 | −0.251465 | ||||||||
\(880\) | 0.240032 | + | 0.308430i | 0.00809148 | + | 0.0103972i | ||||
\(881\) | −23.0229 | −0.775662 | −0.387831 | − | 0.921731i | \(-0.626776\pi\) | ||||
−0.387831 | + | 0.921731i | \(0.626776\pi\) | |||||||
\(882\) | −1.96205 | − | 6.03858i | −0.0660657 | − | 0.203329i | ||||
\(883\) | −43.6925 | − | 31.7445i | −1.47037 | − | 1.06829i | −0.980506 | − | 0.196489i | \(-0.937046\pi\) |
−0.489865 | − | 0.871798i | \(-0.662954\pi\) | |||||||
\(884\) | −3.73774 | + | 2.71563i | −0.125714 | + | 0.0913365i | ||||
\(885\) | 0.241614 | − | 0.743610i | 0.00812175 | − | 0.0249962i | ||||
\(886\) | −8.76240 | + | 26.9679i | −0.294378 | + | 0.906004i | ||||
\(887\) | −25.5025 | + | 18.5286i | −0.856289 | + | 0.622130i | −0.926873 | − | 0.375375i | \(-0.877514\pi\) |
0.0705838 | + | 0.997506i | \(0.477514\pi\) | |||||||
\(888\) | 1.95418 | + | 1.41980i | 0.0655781 | + | 0.0476453i | ||||
\(889\) | −1.49783 | − | 4.60985i | −0.0502357 | − | 0.154609i | ||||
\(890\) | 0.564929 | 0.0189365 | ||||||||
\(891\) | 5.04607 | − | 1.82580i | 0.169050 | − | 0.0611665i | ||||
\(892\) | 1.50507 | 0.0503935 | ||||||||
\(893\) | −1.88339 | − | 5.79649i | −0.0630253 | − | 0.193972i | ||||
\(894\) | −5.13260 | − | 3.72905i | −0.171660 | − | 0.124718i | ||||
\(895\) | −0.257744 | + | 0.187262i | −0.00861544 | + | 0.00625948i | ||||
\(896\) | 0.538830 | − | 1.65835i | 0.0180010 | − | 0.0554015i | ||||
\(897\) | −5.35411 | + | 16.4782i | −0.178768 | + | 0.550193i | ||||
\(898\) | 15.9634 | − | 11.5981i | 0.532707 | − | 0.387034i | ||||
\(899\) | 4.81899 | + | 3.50120i | 0.160722 | + | 0.116772i | ||||
\(900\) | 2.47074 | + | 7.60416i | 0.0823580 | + | 0.253472i | ||||
\(901\) | −19.9654 | −0.665144 | ||||||||
\(902\) | −1.14424 | + | 1.68948i | −0.0380989 | + | 0.0562536i | ||||
\(903\) | −20.6907 | −0.688543 | ||||||||
\(904\) | 4.99378 | + | 15.3693i | 0.166091 | + | 0.511175i | ||||
\(905\) | 1.52975 | + | 1.11143i | 0.0508508 | + | 0.0369452i | ||||
\(906\) | −19.8732 | + | 14.4387i | −0.660244 | + | 0.479695i | ||||
\(907\) | 0.596394 | − | 1.83551i | 0.0198029 | − | 0.0609472i | −0.940667 | − | 0.339332i | \(-0.889799\pi\) |
0.960470 | + | 0.278385i | \(0.0897990\pi\) | |||||||
\(908\) | 0.0782752 | − | 0.240906i | 0.00259765 | − | 0.00799476i | ||||
\(909\) | 4.40197 | − | 3.19822i | 0.146004 | − | 0.106078i | ||||
\(910\) | 0.352975 | + | 0.256451i | 0.0117010 | + | 0.00850128i | ||||
\(911\) | 0.124252 | + | 0.382407i | 0.00411664 | + | 0.0126697i | 0.953094 | − | 0.302675i | \(-0.0978798\pi\) |
−0.948977 | + | 0.315345i | \(0.897880\pi\) | |||||||
\(912\) | −1.18171 | −0.0391305 | ||||||||
\(913\) | 17.6081 | − | 25.9987i | 0.582743 | − | 0.860430i | ||||
\(914\) | −8.71834 | −0.288377 | ||||||||
\(915\) | 0.225157 | + | 0.692961i | 0.00744345 | + | 0.0229086i | ||||
\(916\) | 7.07743 | + | 5.14206i | 0.233845 | + | 0.169898i | ||||
\(917\) | −14.2132 | + | 10.3265i | −0.469362 | + | 0.341011i | ||||
\(918\) | −3.65771 | + | 11.2573i | −0.120722 | + | 0.371545i | ||||
\(919\) | −11.9961 | + | 36.9202i | −0.395714 | + | 1.21788i | 0.532689 | + | 0.846311i | \(0.321181\pi\) |
−0.928404 | + | 0.371573i | \(0.878819\pi\) | |||||||
\(920\) | −0.658272 | + | 0.478263i | −0.0217026 | + | 0.0157679i | ||||
\(921\) | −17.4870 | − | 12.7051i | −0.576217 | − | 0.418646i | ||||
\(922\) | −3.34419 | − | 10.2924i | −0.110135 | − | 0.338961i | ||||
\(923\) | −19.4795 | −0.641177 | ||||||||
\(924\) | −6.42632 | + | 2.32521i | −0.211411 | + | 0.0764937i | ||||
\(925\) | 10.1920 | 0.335109 | ||||||||
\(926\) | −11.9583 | − | 36.8038i | −0.392974 | − | 1.20945i | ||||
\(927\) | 22.9635 | + | 16.6840i | 0.754220 | + | 0.547973i | ||||
\(928\) | 2.35143 | − | 1.70841i | 0.0771893 | − | 0.0560813i | ||||
\(929\) | −1.80186 | + | 5.54554i | −0.0591170 | + | 0.181943i | −0.976254 | − | 0.216628i | \(-0.930494\pi\) |
0.917137 | + | 0.398572i | \(0.130494\pi\) | |||||||
\(930\) | 0.0881875 | − | 0.271413i | 0.00289178 | − | 0.00889999i | ||||
\(931\) | 3.20334 | − | 2.32736i | 0.104985 | − | 0.0762763i | ||||
\(932\) | −9.99814 | − | 7.26407i | −0.327500 | − | 0.237943i | ||||
\(933\) | 10.5602 | + | 32.5010i | 0.345726 | + | 1.06403i | ||||
\(934\) | −6.54021 | −0.214002 | ||||||||
\(935\) | 0.522264 | + | 0.671086i | 0.0170799 | + | 0.0219468i | ||||
\(936\) | 3.40497 | 0.111295 | ||||||||
\(937\) | 4.24996 | + | 13.0800i | 0.138840 | + | 0.427306i | 0.996168 | − | 0.0874656i | \(-0.0278768\pi\) |
−0.857327 | + | 0.514771i | \(0.827877\pi\) | |||||||
\(938\) | 19.6575 | + | 14.2820i | 0.641840 | + | 0.466324i | ||||
\(939\) | 17.4985 | − | 12.7134i | 0.571042 | − | 0.414887i | ||||
\(940\) | 0.221936 | − | 0.683048i | 0.00723875 | − | 0.0222786i | ||||
\(941\) | −12.8489 | + | 39.5449i | −0.418863 | + | 1.28913i | 0.489887 | + | 0.871786i | \(0.337038\pi\) |
−0.908750 | + | 0.417341i | \(0.862962\pi\) | |||||||
\(942\) | −6.43955 | + | 4.67861i | −0.209812 | + | 0.152437i | ||||
\(943\) | −3.43683 | − | 2.49701i | −0.111919 | − | 0.0813137i | ||||
\(944\) | 1.73509 | + | 5.34006i | 0.0564724 | + | 0.173804i | ||||
\(945\) | 1.11779 | 0.0363618 | ||||||||
\(946\) | 1.09919 | + | 33.2853i | 0.0357379 | + | 1.08220i | ||||
\(947\) | 14.7404 | 0.478999 | 0.239500 | − | 0.970896i | \(-0.423017\pi\) | ||||
0.239500 | + | 0.970896i | \(0.423017\pi\) | |||||||
\(948\) | 1.99942 | + | 6.15359i | 0.0649382 | + | 0.199859i | ||||
\(949\) | −23.1132 | − | 16.7928i | −0.750288 | − | 0.545116i | ||||
\(950\) | −4.03385 | + | 2.93076i | −0.130875 | + | 0.0950866i | ||||
\(951\) | −8.23136 | + | 25.3335i | −0.266920 | + | 0.821495i | ||||
\(952\) | 1.17239 | − | 3.60825i | 0.0379974 | − | 0.116944i | ||||
\(953\) | 24.6250 | − | 17.8911i | 0.797683 | − | 0.579551i | −0.112550 | − | 0.993646i | \(-0.535902\pi\) |
0.910233 | + | 0.414095i | \(0.135902\pi\) | |||||||
\(954\) | 11.9041 | + | 8.64885i | 0.385410 | + | 0.280017i | ||||
\(955\) | 0.853430 | + | 2.62659i | 0.0276163 | + | 0.0849943i | ||||
\(956\) | 19.2245 | 0.621766 | ||||||||
\(957\) | −10.9443 | − | 3.16068i | −0.353779 | − | 0.102170i | ||||
\(958\) | 33.0437 | 1.06759 | ||||||||
\(959\) | 0.259625 | + | 0.799044i | 0.00838374 | + | 0.0258025i | ||||
\(960\) | −0.112657 | − | 0.0818499i | −0.00363598 | − | 0.00264169i | ||||
\(961\) | 21.6816 | − | 15.7526i | 0.699408 | − | 0.508150i | ||||
\(962\) | 1.34125 | − | 4.12793i | 0.0432435 | − | 0.133090i | ||||
\(963\) | 0.256188 | − | 0.788465i | 0.00825553 | − | 0.0254079i | ||||
\(964\) | −15.5277 | + | 11.2816i | −0.500115 | + | 0.363355i | ||||
\(965\) | 0.791062 | + | 0.574740i | 0.0254652 | + | 0.0185015i | ||||
\(966\) | −4.39668 | − | 13.5316i | −0.141461 | − | 0.435372i | ||||
\(967\) | 9.20321 | 0.295955 | 0.147978 | − | 0.988991i | \(-0.452724\pi\) | ||||
0.147978 | + | 0.988991i | \(0.452724\pi\) | |||||||
\(968\) | 4.08198 | + | 10.2146i | 0.131200 | + | 0.328309i | ||||
\(969\) | −2.57119 | −0.0825984 | ||||||||
\(970\) | 0.406924 | + | 1.25238i | 0.0130655 | + | 0.0402116i | ||||
\(971\) | −9.93200 | − | 7.21602i | −0.318733 | − | 0.231573i | 0.416902 | − | 0.908952i | \(-0.363116\pi\) |
−0.735635 | + | 0.677378i | \(0.763116\pi\) | |||||||
\(972\) | 11.6565 | − | 8.46896i | 0.373883 | − | 0.271642i | ||||
\(973\) | −10.6572 | + | 32.7995i | −0.341655 | + | 1.05150i | ||||
\(974\) | −1.97768 | + | 6.08668i | −0.0633691 | + | 0.195030i | ||||
\(975\) | −10.1219 | + | 7.35401i | −0.324161 | + | 0.235517i | ||||
\(976\) | −4.23312 | − | 3.07554i | −0.135499 | − | 0.0984458i | ||||
\(977\) | −7.56956 | − | 23.2967i | −0.242172 | − | 0.745328i | −0.996089 | − | 0.0883583i | \(-0.971838\pi\) |
0.753917 | − | 0.656970i | \(-0.228162\pi\) | |||||||
\(978\) | 5.35137 | 0.171118 | ||||||||
\(979\) | 15.2760 | + | 4.41166i | 0.488222 | + | 0.140997i | ||||
\(980\) | 0.466587 | 0.0149046 | ||||||||
\(981\) | 3.93611 | + | 12.1141i | 0.125670 | + | 0.386774i | ||||
\(982\) | −23.9935 | − | 17.4323i | −0.765662 | − | 0.556286i | ||||
\(983\) | 27.0287 | − | 19.6375i | 0.862082 | − | 0.626339i | −0.0663685 | − | 0.997795i | \(-0.521141\pi\) |
0.928451 | + | 0.371456i | \(0.121141\pi\) | |||||||
\(984\) | 0.224665 | − | 0.691446i | 0.00716204 | − | 0.0220425i | ||||
\(985\) | −0.936406 | + | 2.88196i | −0.0298364 | + | 0.0918269i | ||||
\(986\) | 5.11626 | − | 3.71718i | 0.162935 | − | 0.118379i | ||||
\(987\) | 10.1601 | + | 7.38174i | 0.323399 | + | 0.234963i | ||||
\(988\) | 0.656165 | + | 2.01947i | 0.0208754 | + | 0.0642479i | ||||
\(989\) | −69.3353 | −2.20473 | ||||||||
\(990\) | −0.0206847 | − | 0.626367i | −0.000657404 | − | 0.0199072i | ||||
\(991\) | −18.4683 | −0.586664 | −0.293332 | − | 0.956011i | \(-0.594764\pi\) | ||||
−0.293332 | + | 0.956011i | \(0.594764\pi\) | |||||||
\(992\) | 0.633297 | + | 1.94909i | 0.0201072 | + | 0.0618836i | ||||
\(993\) | 7.72430 | + | 5.61203i | 0.245123 | + | 0.178092i | ||||
\(994\) | 12.9412 | − | 9.40233i | 0.410470 | − | 0.298224i | ||||
\(995\) | −0.265126 | + | 0.815975i | −0.00840507 | + | 0.0258681i | ||||
\(996\) | −3.45726 | + | 10.6403i | −0.109547 | + | 0.337152i | ||||
\(997\) | −30.1618 | + | 21.9138i | −0.955234 | + | 0.694018i | −0.952039 | − | 0.305977i | \(-0.901017\pi\) |
−0.00319484 | + | 0.999995i | \(0.501017\pi\) | |||||||
\(998\) | −8.39708 | − | 6.10083i | −0.265805 | − | 0.193118i | ||||
\(999\) | −3.43624 | − | 10.5756i | −0.108718 | − | 0.334599i |
(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 | 418.2.f.g.115.3 | ✓ | 16 | |
11.3 | even | 5 | 4598.2.a.bw.1.4 | 8 | |||
11.8 | odd | 10 | 4598.2.a.bz.1.4 | 8 | |||
11.9 | even | 5 | inner | 418.2.f.g.229.3 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.f.g.115.3 | ✓ | 16 | 1.1 | even | 1 | trivial | |
418.2.f.g.229.3 | yes | 16 | 11.9 | even | 5 | inner | |
4598.2.a.bw.1.4 | 8 | 11.3 | even | 5 | |||
4598.2.a.bz.1.4 | 8 | 11.8 | odd | 10 |