Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [650,2,Mod(181,650)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(650, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([4, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("650.181");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 650 = 2 \cdot 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 650.p (of order \(10\), 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: | \(5.19027613138\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 181.8 | ||
Character | \(\chi\) | \(=\) | 650.181 |
Dual form | 650.2.p.a.571.8 |
$q$-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 \(\left(\mathbb{Z}/650\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(301\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.951057 | + | 0.309017i | −0.672499 | + | 0.218508i | ||||
\(3\) | −0.454733 | + | 0.330383i | −0.262540 | + | 0.190747i | −0.711266 | − | 0.702923i | \(-0.751878\pi\) |
0.448726 | + | 0.893669i | \(0.351878\pi\) | |||||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | 2.02575 | − | 0.946747i | 0.905944 | − | 0.423398i | ||||
\(6\) | 0.330383 | − | 0.454733i | 0.134878 | − | 0.185644i | ||||
\(7\) | 3.59180i | 1.35757i | 0.734336 | + | 0.678786i | \(0.237494\pi\) | ||||
−0.734336 | + | 0.678786i | \(0.762506\pi\) | |||||||
\(8\) | −0.587785 | + | 0.809017i | −0.207813 | + | 0.286031i | ||||
\(9\) | −0.829422 | + | 2.55270i | −0.276474 | + | 0.850899i | ||||
\(10\) | −1.63404 | + | 1.52640i | −0.516730 | + | 0.482691i | ||||
\(11\) | −3.90463 | + | 1.26869i | −1.17729 | + | 0.382525i | −0.831359 | − | 0.555736i | \(-0.812437\pi\) |
−0.345930 | + | 0.938260i | \(0.612437\pi\) | |||||||
\(12\) | −0.173693 | + | 0.534571i | −0.0501407 | + | 0.154317i | ||||
\(13\) | 0.643204 | − | 3.54772i | 0.178393 | − | 0.983959i | ||||
\(14\) | −1.10993 | − | 3.41600i | −0.296640 | − | 0.912965i | ||||
\(15\) | −0.608388 | + | 1.09979i | −0.157085 | + | 0.283965i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −0.477217 | − | 0.346718i | −0.115742 | − | 0.0840916i | 0.528408 | − | 0.848990i | \(-0.322789\pi\) |
−0.644151 | + | 0.764899i | \(0.722789\pi\) | |||||||
\(18\) | − | 2.68406i | − | 0.632640i | ||||||
\(19\) | −4.56943 | + | 6.28928i | −1.04830 | + | 1.44286i | −0.158025 | + | 0.987435i | \(0.550513\pi\) |
−0.890274 | + | 0.455425i | \(0.849487\pi\) | |||||||
\(20\) | 1.08238 | − | 1.95664i | 0.242028 | − | 0.437518i | ||||
\(21\) | −1.18667 | − | 1.63331i | −0.258952 | − | 0.356417i | ||||
\(22\) | 3.32147 | − | 2.41319i | 0.708141 | − | 0.514494i | ||||
\(23\) | 0.238776 | + | 0.734876i | 0.0497881 | + | 0.153232i | 0.972860 | − | 0.231397i | \(-0.0743295\pi\) |
−0.923071 | + | 0.384629i | \(0.874329\pi\) | |||||||
\(24\) | − | 0.562081i | − | 0.114734i | ||||||
\(25\) | 3.20734 | − | 3.83575i | 0.641468 | − | 0.767150i | ||||
\(26\) | 0.484581 | + | 3.57284i | 0.0950341 | + | 0.700691i | ||||
\(27\) | −0.987280 | − | 3.03854i | −0.190002 | − | 0.584766i | ||||
\(28\) | 2.11121 | + | 2.90582i | 0.398980 | + | 0.549149i | ||||
\(29\) | −2.30028 | + | 1.67125i | −0.427152 | + | 0.310344i | −0.780509 | − | 0.625145i | \(-0.785040\pi\) |
0.353357 | + | 0.935488i | \(0.385040\pi\) | |||||||
\(30\) | 0.238757 | − | 1.23397i | 0.0435908 | − | 0.225290i | ||||
\(31\) | −1.23637 | + | 1.70172i | −0.222059 | + | 0.305638i | −0.905482 | − | 0.424385i | \(-0.860490\pi\) |
0.683423 | + | 0.730023i | \(0.260490\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 1.35641 | − | 1.86694i | 0.236121 | − | 0.324992i | ||||
\(34\) | 0.561002 | + | 0.182281i | 0.0962111 | + | 0.0312609i | ||||
\(35\) | 3.40052 | + | 7.27609i | 0.574793 | + | 1.22988i | ||||
\(36\) | 0.829422 | + | 2.55270i | 0.138237 | + | 0.425450i | ||||
\(37\) | 6.46545 | + | 2.10075i | 1.06291 | + | 0.345361i | 0.787724 | − | 0.616029i | \(-0.211259\pi\) |
0.275189 | + | 0.961390i | \(0.411259\pi\) | |||||||
\(38\) | 2.40229 | − | 7.39349i | 0.389703 | − | 1.19938i | ||||
\(39\) | 0.879619 | + | 1.82577i | 0.140852 | + | 0.292357i | ||||
\(40\) | −0.424773 | + | 2.19535i | −0.0671625 | + | 0.347116i | ||||
\(41\) | −7.00845 | − | 2.27718i | −1.09454 | − | 0.355636i | −0.294539 | − | 0.955640i | \(-0.595166\pi\) |
−0.799998 | + | 0.600003i | \(0.795166\pi\) | |||||||
\(42\) | 1.63331 | + | 1.18667i | 0.252025 | + | 0.183107i | ||||
\(43\) | 2.01123 | 0.306710 | 0.153355 | − | 0.988171i | \(-0.450992\pi\) | ||||
0.153355 | + | 0.988171i | \(0.450992\pi\) | |||||||
\(44\) | −2.41319 | + | 3.32147i | −0.363802 | + | 0.500731i | ||||
\(45\) | 0.736555 | + | 5.95638i | 0.109799 | + | 0.887925i | ||||
\(46\) | −0.454178 | − | 0.625122i | −0.0669649 | − | 0.0921693i | ||||
\(47\) | 2.01990 | + | 2.78015i | 0.294632 | + | 0.405526i | 0.930512 | − | 0.366262i | \(-0.119363\pi\) |
−0.635880 | + | 0.771788i | \(0.719363\pi\) | |||||||
\(48\) | 0.173693 | + | 0.534571i | 0.0250704 | + | 0.0771587i | ||||
\(49\) | −5.90101 | −0.843001 | ||||||||
\(50\) | −1.86505 | + | 4.63914i | −0.263758 | + | 0.656073i | ||||
\(51\) | 0.331556 | 0.0464272 | ||||||||
\(52\) | −1.56493 | − | 3.24823i | −0.217017 | − | 0.450448i | ||||
\(53\) | −6.24449 | + | 4.53689i | −0.857746 | + | 0.623189i | −0.927271 | − | 0.374391i | \(-0.877852\pi\) |
0.0695247 | + | 0.997580i | \(0.477852\pi\) | |||||||
\(54\) | 1.87792 | + | 2.58473i | 0.255552 | + | 0.351738i | ||||
\(55\) | −6.70868 | + | 6.26674i | −0.904598 | + | 0.845008i | ||||
\(56\) | −2.90582 | − | 2.11121i | −0.388307 | − | 0.282122i | ||||
\(57\) | − | 4.36961i | − | 0.578769i | ||||||
\(58\) | 1.67125 | − | 2.30028i | 0.219446 | − | 0.302042i | ||||
\(59\) | −4.82429 | − | 1.56751i | −0.628069 | − | 0.204072i | −0.0223494 | − | 0.999750i | \(-0.507115\pi\) |
−0.605719 | + | 0.795678i | \(0.707115\pi\) | |||||||
\(60\) | 0.154245 | + | 1.24735i | 0.0199130 | + | 0.161032i | ||||
\(61\) | 4.02092 | + | 12.3751i | 0.514826 | + | 1.58447i | 0.783598 | + | 0.621268i | \(0.213382\pi\) |
−0.268772 | + | 0.963204i | \(0.586618\pi\) | |||||||
\(62\) | 0.650000 | − | 2.00049i | 0.0825500 | − | 0.254063i | ||||
\(63\) | −9.16877 | − | 2.97911i | −1.15516 | − | 0.375333i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | −2.05582 | − | 7.79574i | −0.254993 | − | 0.966943i | ||||
\(66\) | −0.713107 | + | 2.19472i | −0.0877774 | + | 0.270151i | ||||
\(67\) | 3.99722 | − | 5.50170i | 0.488338 | − | 0.672140i | −0.491742 | − | 0.870741i | \(-0.663640\pi\) |
0.980080 | + | 0.198601i | \(0.0636398\pi\) | |||||||
\(68\) | −0.589873 | −0.0715326 | ||||||||
\(69\) | −0.351370 | − | 0.255285i | −0.0422999 | − | 0.0307327i | ||||
\(70\) | −5.48252 | − | 5.86915i | −0.655287 | − | 0.701498i | ||||
\(71\) | 3.16005 | + | 4.34944i | 0.375029 | + | 0.516183i | 0.954259 | − | 0.298981i | \(-0.0966467\pi\) |
−0.579230 | + | 0.815164i | \(0.696647\pi\) | |||||||
\(72\) | −1.57765 | − | 2.17145i | −0.185928 | − | 0.255908i | ||||
\(73\) | −15.0226 | + | 4.88114i | −1.75826 | + | 0.571294i | −0.997018 | − | 0.0771703i | \(-0.975411\pi\) |
−0.761245 | + | 0.648465i | \(0.775411\pi\) | |||||||
\(74\) | −6.79817 | −0.790272 | ||||||||
\(75\) | −0.191219 | + | 2.80389i | −0.0220800 | + | 0.323766i | ||||
\(76\) | 7.77398i | 0.891737i | ||||||||
\(77\) | −4.55688 | − | 14.0246i | −0.519304 | − | 1.59825i | ||||
\(78\) | −1.40076 | − | 1.46459i | −0.158605 | − | 0.165832i | ||||
\(79\) | −9.97122 | + | 7.24451i | −1.12185 | + | 0.815072i | −0.984488 | − | 0.175449i | \(-0.943862\pi\) |
−0.137361 | + | 0.990521i | \(0.543862\pi\) | |||||||
\(80\) | −0.274418 | − | 2.21917i | −0.0306809 | − | 0.248110i | ||||
\(81\) | −5.06153 | − | 3.67742i | −0.562393 | − | 0.408602i | ||||
\(82\) | 7.36912 | 0.813784 | ||||||||
\(83\) | 3.41474 | − | 4.69998i | 0.374816 | − | 0.515890i | −0.579386 | − | 0.815053i | \(-0.696708\pi\) |
0.954202 | + | 0.299163i | \(0.0967075\pi\) | |||||||
\(84\) | −1.92007 | − | 0.623869i | −0.209497 | − | 0.0680696i | ||||
\(85\) | −1.29498 | − | 0.250562i | −0.140460 | − | 0.0271773i | ||||
\(86\) | −1.91279 | + | 0.621504i | −0.206262 | + | 0.0670185i | ||||
\(87\) | 0.493861 | − | 1.51995i | 0.0529475 | − | 0.162956i | ||||
\(88\) | 1.26869 | − | 3.90463i | 0.135243 | − | 0.416235i | ||||
\(89\) | 11.9736 | − | 3.89045i | 1.26920 | − | 0.412387i | 0.404433 | − | 0.914568i | \(-0.367469\pi\) |
0.864762 | + | 0.502181i | \(0.167469\pi\) | |||||||
\(90\) | −2.54113 | − | 5.43725i | −0.267859 | − | 0.573136i | ||||
\(91\) | 12.7427 | + | 2.31026i | 1.33580 | + | 0.242181i | ||||
\(92\) | 0.625122 | + | 0.454178i | 0.0651735 | + | 0.0473513i | ||||
\(93\) | − | 1.18231i | − | 0.122599i | ||||||
\(94\) | −2.78015 | − | 2.01990i | −0.286750 | − | 0.208336i | ||||
\(95\) | −3.30218 | + | 17.0666i | −0.338796 | + | 1.75100i | ||||
\(96\) | −0.330383 | − | 0.454733i | −0.0337196 | − | 0.0464110i | ||||
\(97\) | 9.53929 | + | 13.1297i | 0.968568 | + | 1.33312i | 0.942767 | + | 0.333452i | \(0.108214\pi\) |
0.0258012 | + | 0.999667i | \(0.491786\pi\) | |||||||
\(98\) | 5.61219 | − | 1.82351i | 0.566917 | − | 0.184202i | ||||
\(99\) | − | 11.0196i | − | 1.10751i | ||||||
\(100\) | 0.340198 | − | 4.98841i | 0.0340198 | − | 0.498841i | ||||
\(101\) | 10.6269 | 1.05741 | 0.528707 | − | 0.848804i | \(-0.322677\pi\) | ||||
0.528707 | + | 0.848804i | \(0.322677\pi\) | |||||||
\(102\) | −0.315329 | + | 0.102457i | −0.0312222 | + | 0.0101447i | ||||
\(103\) | 4.36503 | − | 3.17138i | 0.430099 | − | 0.312485i | −0.351589 | − | 0.936154i | \(-0.614359\pi\) |
0.781689 | + | 0.623669i | \(0.214359\pi\) | |||||||
\(104\) | 2.49210 | + | 2.60566i | 0.244370 | + | 0.255506i | ||||
\(105\) | −3.95023 | − | 2.18520i | −0.385503 | − | 0.213254i | ||||
\(106\) | 4.53689 | − | 6.24449i | 0.440661 | − | 0.606518i | ||||
\(107\) | 9.93480 | 0.960433 | 0.480217 | − | 0.877150i | \(-0.340558\pi\) | ||||
0.480217 | + | 0.877150i | \(0.340558\pi\) | |||||||
\(108\) | −2.58473 | − | 1.87792i | −0.248716 | − | 0.180703i | ||||
\(109\) | 11.5462 | + | 3.75160i | 1.10593 | + | 0.359338i | 0.804381 | − | 0.594113i | \(-0.202497\pi\) |
0.301547 | + | 0.953451i | \(0.402497\pi\) | |||||||
\(110\) | 4.44380 | − | 8.03312i | 0.423700 | − | 0.765928i | ||||
\(111\) | −3.63411 | + | 1.18079i | −0.344934 | + | 0.112076i | ||||
\(112\) | 3.41600 | + | 1.10993i | 0.322782 | + | 0.104878i | ||||
\(113\) | 1.38988 | − | 4.27761i | 0.130749 | − | 0.402403i | −0.864156 | − | 0.503224i | \(-0.832147\pi\) |
0.994905 | + | 0.100821i | \(0.0321470\pi\) | |||||||
\(114\) | 1.35028 | + | 4.15574i | 0.126466 | + | 0.389221i | ||||
\(115\) | 1.17944 | + | 1.26262i | 0.109983 | + | 0.117740i | ||||
\(116\) | −0.878629 | + | 2.70414i | −0.0815787 | + | 0.251073i | ||||
\(117\) | 8.52276 | + | 4.58446i | 0.787929 | + | 0.423833i | ||||
\(118\) | 5.07256 | 0.466967 | ||||||||
\(119\) | 1.24534 | − | 1.71407i | 0.114160 | − | 0.157128i | ||||
\(120\) | −0.532148 | − | 1.13864i | −0.0485783 | − | 0.103943i | ||||
\(121\) | 4.73735 | − | 3.44189i | 0.430668 | − | 0.312899i | ||||
\(122\) | −7.64824 | − | 10.5269i | −0.692439 | − | 0.953061i | ||||
\(123\) | 3.93932 | − | 1.27996i | 0.355196 | − | 0.115410i | ||||
\(124\) | 2.10344i | 0.188895i | ||||||||
\(125\) | 2.86580 | − | 10.8068i | 0.256325 | − | 0.966591i | ||||
\(126\) | 9.64062 | 0.858854 | ||||||||
\(127\) | 4.22820 | + | 13.0131i | 0.375192 | + | 1.15472i | 0.943349 | + | 0.331802i | \(0.107657\pi\) |
−0.568157 | + | 0.822920i | \(0.692343\pi\) | |||||||
\(128\) | 0.587785 | + | 0.809017i | 0.0519534 | + | 0.0715077i | ||||
\(129\) | −0.914573 | + | 0.664476i | −0.0805237 | + | 0.0585039i | ||||
\(130\) | 4.36421 | + | 6.77891i | 0.382767 | + | 0.594550i | ||||
\(131\) | 3.29630 | + | 2.39490i | 0.287999 | + | 0.209244i | 0.722399 | − | 0.691477i | \(-0.243039\pi\) |
−0.434400 | + | 0.900720i | \(0.643039\pi\) | |||||||
\(132\) | − | 2.30766i | − | 0.200856i | ||||||
\(133\) | −22.5898 | − | 16.4125i | −1.95879 | − | 1.42314i | ||||
\(134\) | −2.10146 | + | 6.46764i | −0.181539 | + | 0.558719i | ||||
\(135\) | −4.87671 | − | 5.22062i | −0.419720 | − | 0.449319i | ||||
\(136\) | 0.561002 | − | 0.182281i | 0.0481055 | − | 0.0156304i | ||||
\(137\) | −12.9227 | − | 4.19884i | −1.10406 | − | 0.358731i | −0.300397 | − | 0.953814i | \(-0.597119\pi\) |
−0.803664 | + | 0.595083i | \(0.797119\pi\) | |||||||
\(138\) | 0.413060 | + | 0.134211i | 0.0351620 | + | 0.0114248i | ||||
\(139\) | 0.387414 | + | 1.19234i | 0.0328600 | + | 0.101133i | 0.966141 | − | 0.258014i | \(-0.0830679\pi\) |
−0.933281 | + | 0.359146i | \(0.883068\pi\) | |||||||
\(140\) | 7.02786 | + | 3.88770i | 0.593962 | + | 0.328571i | ||||
\(141\) | −1.83703 | − | 0.596886i | −0.154706 | − | 0.0502669i | ||||
\(142\) | −4.34944 | − | 3.16005i | −0.364997 | − | 0.265186i | ||||
\(143\) | 1.98948 | + | 14.6685i | 0.166369 | + | 1.22664i | ||||
\(144\) | 2.17145 | + | 1.57765i | 0.180955 | + | 0.131471i | ||||
\(145\) | −3.07755 | + | 5.56333i | −0.255576 | + | 0.462009i | ||||
\(146\) | 12.7790 | − | 9.28448i | 1.05760 | − | 0.768389i | ||||
\(147\) | 2.68338 | − | 1.94959i | 0.221322 | − | 0.160800i | ||||
\(148\) | 6.46545 | − | 2.10075i | 0.531456 | − | 0.172681i | ||||
\(149\) | − | 11.4068i | − | 0.934484i | −0.884130 | − | 0.467242i | \(-0.845248\pi\) | ||
0.884130 | − | 0.467242i | \(-0.154752\pi\) | |||||||
\(150\) | −0.684591 | − | 2.72575i | −0.0558966 | − | 0.222557i | ||||
\(151\) | − | 12.2867i | − | 0.999877i | −0.866061 | − | 0.499939i | \(-0.833356\pi\) | ||
0.866061 | − | 0.499939i | \(-0.166644\pi\) | |||||||
\(152\) | −2.40229 | − | 7.39349i | −0.194852 | − | 0.599692i | ||||
\(153\) | 1.28088 | − | 0.930615i | 0.103553 | − | 0.0752358i | ||||
\(154\) | 8.66770 | + | 11.9301i | 0.698463 | + | 0.961352i | ||||
\(155\) | −0.893485 | + | 4.61780i | −0.0717665 | + | 0.370910i | ||||
\(156\) | 1.78479 | + | 0.960050i | 0.142897 | + | 0.0768655i | ||||
\(157\) | 16.0813 | 1.28343 | 0.641715 | − | 0.766943i | \(-0.278223\pi\) | ||||
0.641715 | + | 0.766943i | \(0.278223\pi\) | |||||||
\(158\) | 7.24451 | − | 9.97122i | 0.576343 | − | 0.793268i | ||||
\(159\) | 1.34067 | − | 4.12614i | 0.106322 | − | 0.327225i | ||||
\(160\) | 0.946747 | + | 2.02575i | 0.0748469 | + | 0.160150i | ||||
\(161\) | −2.63952 | + | 0.857633i | −0.208024 | + | 0.0675910i | ||||
\(162\) | 5.95019 | + | 1.93333i | 0.467491 | + | 0.151897i | ||||
\(163\) | −2.03218 | − | 0.660294i | −0.159172 | − | 0.0517182i | 0.228347 | − | 0.973580i | \(-0.426668\pi\) |
−0.387519 | + | 0.921862i | \(0.626668\pi\) | |||||||
\(164\) | −7.00845 | + | 2.27718i | −0.547268 | + | 0.177818i | ||||
\(165\) | 0.980232 | − | 5.06613i | 0.0763110 | − | 0.394398i | ||||
\(166\) | −1.79523 | + | 5.52516i | −0.139337 | + | 0.428836i | ||||
\(167\) | 12.9962 | − | 17.8877i | 1.00567 | − | 1.38419i | 0.0838958 | − | 0.996475i | \(-0.473264\pi\) |
0.921778 | − | 0.387717i | \(-0.126736\pi\) | |||||||
\(168\) | 2.01888 | 0.155760 | ||||||||
\(169\) | −12.1726 | − | 4.56381i | −0.936352 | − | 0.351063i | ||||
\(170\) | 1.30903 | − | 0.161872i | 0.100398 | − | 0.0124150i | ||||
\(171\) | −12.2646 | − | 16.8808i | −0.937901 | − | 1.29091i | ||||
\(172\) | 1.62712 | − | 1.18217i | 0.124067 | − | 0.0901397i | ||||
\(173\) | −5.10554 | − | 15.7132i | −0.388167 | − | 1.19465i | −0.934157 | − | 0.356863i | \(-0.883846\pi\) |
0.545990 | − | 0.837792i | \(-0.316154\pi\) | |||||||
\(174\) | 1.59817i | 0.121157i | ||||||||
\(175\) | 13.7772 | + | 11.5201i | 1.04146 | + | 0.870839i | ||||
\(176\) | 4.10557i | 0.309469i | ||||||||
\(177\) | 2.71164 | − | 0.881066i | 0.203819 | − | 0.0662250i | ||||
\(178\) | −10.1853 | + | 7.40007i | −0.763422 | + | 0.554659i | ||||
\(179\) | −0.207882 | + | 0.151035i | −0.0155379 | + | 0.0112889i | −0.595527 | − | 0.803335i | \(-0.703057\pi\) |
0.579989 | + | 0.814624i | \(0.303057\pi\) | |||||||
\(180\) | 4.09696 | + | 4.38588i | 0.305369 | + | 0.326904i | ||||
\(181\) | 17.6754 | + | 12.8420i | 1.31381 | + | 0.954535i | 0.999987 | + | 0.00505226i | \(0.00160819\pi\) |
0.313818 | + | 0.949483i | \(0.398392\pi\) | |||||||
\(182\) | −12.8329 | + | 1.74052i | −0.951239 | + | 0.129016i | ||||
\(183\) | −5.91697 | − | 4.29893i | −0.437395 | − | 0.317786i | ||||
\(184\) | −0.734876 | − | 0.238776i | −0.0541757 | − | 0.0176028i | ||||
\(185\) | 15.0863 | − | 1.86554i | 1.10916 | − | 0.137157i | ||||
\(186\) | 0.365352 | + | 1.12444i | 0.0267889 | + | 0.0824479i | ||||
\(187\) | 2.30323 | + | 0.748366i | 0.168429 | + | 0.0547259i | ||||
\(188\) | 3.26826 | + | 1.06192i | 0.238362 | + | 0.0774486i | ||||
\(189\) | 10.9138 | − | 3.54611i | 0.793862 | − | 0.257942i | ||||
\(190\) | −2.13332 | − | 17.2517i | −0.154767 | − | 1.25157i | ||||
\(191\) | −2.95099 | + | 9.08220i | −0.213526 | + | 0.657165i | 0.785729 | + | 0.618571i | \(0.212288\pi\) |
−0.999255 | + | 0.0385942i | \(0.987712\pi\) | |||||||
\(192\) | 0.454733 | + | 0.330383i | 0.0328175 | + | 0.0238433i | ||||
\(193\) | 10.7836i | 0.776217i | 0.921614 | + | 0.388109i | \(0.126871\pi\) | ||||
−0.921614 | + | 0.388109i | \(0.873129\pi\) | |||||||
\(194\) | −13.1297 | − | 9.53929i | −0.942658 | − | 0.684881i | ||||
\(195\) | 3.51043 | + | 2.86578i | 0.251387 | + | 0.205223i | ||||
\(196\) | −4.77402 | + | 3.46853i | −0.341001 | + | 0.247752i | ||||
\(197\) | 4.80242 | + | 6.60997i | 0.342158 | + | 0.470941i | 0.945070 | − | 0.326867i | \(-0.105993\pi\) |
−0.602912 | + | 0.797808i | \(0.705993\pi\) | |||||||
\(198\) | 3.40525 | + | 10.4803i | 0.242000 | + | 0.744801i | ||||
\(199\) | −6.47550 | −0.459036 | −0.229518 | − | 0.973304i | \(-0.573715\pi\) | ||||
−0.229518 | + | 0.973304i | \(0.573715\pi\) | |||||||
\(200\) | 1.21796 | + | 4.84939i | 0.0861226 | + | 0.342904i | ||||
\(201\) | 3.82242i | 0.269613i | ||||||||
\(202\) | −10.1068 | + | 3.28389i | −0.711109 | + | 0.231053i | ||||
\(203\) | −6.00280 | − | 8.26215i | −0.421314 | − | 0.579889i | ||||
\(204\) | 0.268235 | − | 0.194884i | 0.0187802 | − | 0.0136446i | ||||
\(205\) | −16.3533 | + | 2.02222i | −1.14216 | + | 0.141238i | ||||
\(206\) | −3.17138 | + | 4.36503i | −0.220961 | + | 0.304126i | ||||
\(207\) | −2.07396 | −0.144150 | ||||||||
\(208\) | −3.17532 | − | 1.70803i | −0.220169 | − | 0.118430i | ||||
\(209\) | 9.86277 | − | 30.3545i | 0.682222 | − | 2.09966i | ||||
\(210\) | 4.43215 | + | 0.857566i | 0.305848 | + | 0.0591777i | ||||
\(211\) | −2.12358 | − | 6.53571i | −0.146193 | − | 0.449937i | 0.850969 | − | 0.525215i | \(-0.176015\pi\) |
−0.997163 | + | 0.0752790i | \(0.976015\pi\) | |||||||
\(212\) | −2.38518 | + | 7.34083i | −0.163815 | + | 0.504171i | ||||
\(213\) | −2.87396 | − | 0.933806i | −0.196921 | − | 0.0639834i | ||||
\(214\) | −9.44855 | + | 3.07002i | −0.645890 | + | 0.209862i | ||||
\(215\) | 4.07425 | − | 1.90413i | 0.277862 | − | 0.129860i | ||||
\(216\) | 3.03854 | + | 0.987280i | 0.206746 | + | 0.0671759i | ||||
\(217\) | −6.11224 | − | 4.44080i | −0.414926 | − | 0.301461i | ||||
\(218\) | −12.1404 | −0.822253 | ||||||||
\(219\) | 5.21863 | − | 7.18283i | 0.352642 | − | 0.485371i | ||||
\(220\) | −1.74393 | + | 9.01316i | −0.117576 | + | 0.607667i | ||||
\(221\) | −1.53701 | + | 1.47002i | −0.103390 | + | 0.0988842i | ||||
\(222\) | 3.09135 | − | 2.24600i | 0.207478 | − | 0.150742i | ||||
\(223\) | 23.1749 | − | 7.52997i | 1.55190 | − | 0.504244i | 0.597273 | − | 0.802038i | \(-0.296251\pi\) |
0.954630 | + | 0.297794i | \(0.0962509\pi\) | |||||||
\(224\) | −3.59180 | −0.239987 | ||||||||
\(225\) | 7.13127 | + | 11.3688i | 0.475418 | + | 0.757922i | ||||
\(226\) | 4.49774i | 0.299185i | ||||||||
\(227\) | −18.0480 | + | 5.86414i | −1.19789 | + | 0.389217i | −0.838983 | − | 0.544158i | \(-0.816849\pi\) |
−0.358904 | + | 0.933375i | \(0.616849\pi\) | |||||||
\(228\) | −2.56839 | − | 3.53509i | −0.170096 | − | 0.234117i | ||||
\(229\) | −9.55746 | − | 13.1547i | −0.631575 | − | 0.869288i | 0.366556 | − | 0.930396i | \(-0.380537\pi\) |
−0.998131 | + | 0.0611075i | \(0.980537\pi\) | |||||||
\(230\) | −1.51188 | − | 0.836351i | −0.0996907 | − | 0.0551474i | ||||
\(231\) | 6.70566 | + | 4.87195i | 0.441200 | + | 0.320551i | ||||
\(232\) | − | 2.84330i | − | 0.186672i | ||||||
\(233\) | −9.62635 | − | 6.99396i | −0.630643 | − | 0.458189i | 0.225980 | − | 0.974132i | \(-0.427442\pi\) |
−0.856623 | + | 0.515943i | \(0.827442\pi\) | |||||||
\(234\) | −9.52230 | − | 1.72640i | −0.622492 | − | 0.112858i | ||||
\(235\) | 6.72391 | + | 3.71956i | 0.438619 | + | 0.242637i | ||||
\(236\) | −4.82429 | + | 1.56751i | −0.314034 | + | 0.102036i | ||||
\(237\) | 2.14078 | − | 6.58864i | 0.139059 | − | 0.427978i | ||||
\(238\) | −0.654715 | + | 2.01501i | −0.0424389 | + | 0.130613i | ||||
\(239\) | −20.3654 | + | 6.61711i | −1.31733 | + | 0.428025i | −0.881576 | − | 0.472042i | \(-0.843517\pi\) |
−0.435750 | + | 0.900068i | \(0.643517\pi\) | |||||||
\(240\) | 0.857961 | + | 0.918465i | 0.0553812 | + | 0.0592867i | ||||
\(241\) | −4.96839 | − | 1.61433i | −0.320042 | − | 0.103988i | 0.144590 | − | 0.989492i | \(-0.453814\pi\) |
−0.464633 | + | 0.885504i | \(0.653814\pi\) | |||||||
\(242\) | −3.44189 | + | 4.73735i | −0.221253 | + | 0.304529i | ||||
\(243\) | 13.1013 | 0.840450 | ||||||||
\(244\) | 10.5269 | + | 7.64824i | 0.673916 | + | 0.489629i | ||||
\(245\) | −11.9540 | + | 5.58676i | −0.763712 | + | 0.356925i | ||||
\(246\) | −3.35098 | + | 2.43463i | −0.213651 | + | 0.155227i | ||||
\(247\) | 19.3735 | + | 20.2563i | 1.23271 | + | 1.28888i | ||||
\(248\) | −0.650000 | − | 2.00049i | −0.0412750 | − | 0.127031i | ||||
\(249\) | 3.26541i | 0.206937i | ||||||||
\(250\) | 0.613955 | + | 11.1635i | 0.0388299 | + | 0.706040i | ||||
\(251\) | 14.8502 | 0.937336 | 0.468668 | − | 0.883374i | \(-0.344734\pi\) | ||||
0.468668 | + | 0.883374i | \(0.344734\pi\) | |||||||
\(252\) | −9.16877 | + | 2.97911i | −0.577578 | + | 0.187667i | ||||
\(253\) | −1.86466 | − | 2.56648i | −0.117230 | − | 0.161353i | ||||
\(254\) | −8.04251 | − | 11.0696i | −0.504632 | − | 0.694566i | ||||
\(255\) | 0.671651 | − | 0.313900i | 0.0420604 | − | 0.0196572i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −5.90310 | −0.368225 | −0.184113 | − | 0.982905i | \(-0.558941\pi\) | ||||
−0.184113 | + | 0.982905i | \(0.558941\pi\) | |||||||
\(258\) | 0.664476 | − | 0.914573i | 0.0413685 | − | 0.0569388i | ||||
\(259\) | −7.54547 | + | 23.2226i | −0.468853 | + | 1.44298i | ||||
\(260\) | −6.24541 | − | 5.09851i | −0.387324 | − | 0.316196i | ||||
\(261\) | −2.35830 | − | 7.25810i | −0.145975 | − | 0.449265i | ||||
\(262\) | −3.87503 | − | 1.25908i | −0.239400 | − | 0.0777859i | ||||
\(263\) | 7.00163 | − | 21.5488i | 0.431739 | − | 1.32876i | −0.464652 | − | 0.885493i | \(-0.653821\pi\) |
0.896391 | − | 0.443263i | \(-0.146179\pi\) | |||||||
\(264\) | 0.713107 | + | 2.19472i | 0.0438887 | + | 0.135076i | ||||
\(265\) | −8.35450 | + | 15.1026i | −0.513213 | + | 0.927742i | ||||
\(266\) | 26.5559 | + | 8.62855i | 1.62825 | + | 0.529050i | ||||
\(267\) | −4.15944 | + | 5.72498i | −0.254554 | + | 0.350363i | ||||
\(268\) | − | 6.80048i | − | 0.415405i | ||||||
\(269\) | −3.03099 | − | 2.20214i | −0.184803 | − | 0.134267i | 0.491537 | − | 0.870856i | \(-0.336435\pi\) |
−0.676340 | + | 0.736589i | \(0.736435\pi\) | |||||||
\(270\) | 6.25128 | + | 3.45811i | 0.380441 | + | 0.210454i | ||||
\(271\) | 4.05813 | + | 5.58554i | 0.246514 | + | 0.339297i | 0.914287 | − | 0.405068i | \(-0.132752\pi\) |
−0.667773 | + | 0.744365i | \(0.732752\pi\) | |||||||
\(272\) | −0.477217 | + | 0.346718i | −0.0289355 | + | 0.0210229i | ||||
\(273\) | −6.55779 | + | 3.15941i | −0.396895 | + | 0.191216i | ||||
\(274\) | 13.5877 | 0.820865 | ||||||||
\(275\) | −7.65710 | + | 19.0463i | −0.461740 | + | 1.14853i | ||||
\(276\) | −0.434317 | −0.0261428 | ||||||||
\(277\) | 4.48369 | + | 13.7994i | 0.269399 | + | 0.829125i | 0.990647 | + | 0.136448i | \(0.0435688\pi\) |
−0.721248 | + | 0.692677i | \(0.756431\pi\) | |||||||
\(278\) | −0.736905 | − | 1.01426i | −0.0441966 | − | 0.0608314i | ||||
\(279\) | −3.31850 | − | 4.56753i | −0.198674 | − | 0.273451i | ||||
\(280\) | −7.88526 | − | 1.52570i | −0.471234 | − | 0.0911779i | ||||
\(281\) | 5.62072 | − | 7.73626i | 0.335304 | − | 0.461507i | −0.607758 | − | 0.794122i | \(-0.707931\pi\) |
0.943063 | + | 0.332615i | \(0.107931\pi\) | |||||||
\(282\) | 1.93157 | 0.115023 | ||||||||
\(283\) | 16.3963 | + | 11.9126i | 0.974657 | + | 0.708130i | 0.956508 | − | 0.291706i | \(-0.0942227\pi\) |
0.0181489 | + | 0.999835i | \(0.494223\pi\) | |||||||
\(284\) | 5.11307 | + | 1.66134i | 0.303405 | + | 0.0985822i | ||||
\(285\) | −4.13691 | − | 8.85174i | −0.245049 | − | 0.524332i | ||||
\(286\) | −6.42493 | − | 13.3358i | −0.379914 | − | 0.788564i | ||||
\(287\) | 8.17918 | − | 25.1729i | 0.482802 | − | 1.48591i | ||||
\(288\) | −2.55270 | − | 0.829422i | −0.150419 | − | 0.0488741i | ||||
\(289\) | −5.14577 | − | 15.8370i | −0.302692 | − | 0.931591i | ||||
\(290\) | 1.20776 | − | 6.24205i | 0.0709220 | − | 0.366546i | ||||
\(291\) | −8.67566 | − | 2.81889i | −0.508576 | − | 0.165246i | ||||
\(292\) | −9.28448 | + | 12.7790i | −0.543333 | + | 0.747834i | ||||
\(293\) | − | 7.57993i | − | 0.442824i | −0.975180 | − | 0.221412i | \(-0.928933\pi\) | ||
0.975180 | − | 0.221412i | \(-0.0710666\pi\) | |||||||
\(294\) | −1.94959 | + | 2.68338i | −0.113703 | + | 0.156498i | ||||
\(295\) | −11.2568 | + | 1.39200i | −0.655399 | + | 0.0810454i | ||||
\(296\) | −5.49984 | + | 3.99587i | −0.319672 | + | 0.232255i | ||||
\(297\) | 7.70992 | + | 10.6118i | 0.447375 | + | 0.615759i | ||||
\(298\) | 3.52490 | + | 10.8485i | 0.204192 | + | 0.628439i | ||||
\(299\) | 2.76071 | − | 0.374433i | 0.159656 | − | 0.0216540i | ||||
\(300\) | 1.49339 | + | 2.38079i | 0.0862208 | + | 0.137455i | ||||
\(301\) | 7.22393i | 0.416381i | ||||||||
\(302\) | 3.79680 | + | 11.6853i | 0.218481 | + | 0.672416i | ||||
\(303\) | −4.83239 | + | 3.51094i | −0.277614 | + | 0.201698i | ||||
\(304\) | 4.56943 | + | 6.28928i | 0.262075 | + | 0.360715i | ||||
\(305\) | 19.8615 | + | 21.2621i | 1.13727 | + | 1.21747i | ||||
\(306\) | −0.930615 | + | 1.28088i | −0.0531997 | + | 0.0732231i | ||||
\(307\) | − | 4.68581i | − | 0.267434i | −0.991020 | − | 0.133717i | \(-0.957309\pi\) | ||
0.991020 | − | 0.133717i | \(-0.0426912\pi\) | |||||||
\(308\) | −11.9301 | − | 8.66770i | −0.679778 | − | 0.493888i | ||||
\(309\) | −0.937154 | + | 2.88426i | −0.0533128 | + | 0.164080i | ||||
\(310\) | −0.577222 | − | 4.66789i | −0.0327840 | − | 0.265118i | ||||
\(311\) | 3.63982 | + | 11.2022i | 0.206395 | + | 0.635220i | 0.999653 | + | 0.0263338i | \(0.00838327\pi\) |
−0.793258 | + | 0.608886i | \(0.791617\pi\) | |||||||
\(312\) | −1.99410 | − | 0.361533i | −0.112894 | − | 0.0204678i | ||||
\(313\) | −5.12768 | + | 15.7814i | −0.289834 | + | 0.892016i | 0.695074 | + | 0.718938i | \(0.255371\pi\) |
−0.984908 | + | 0.173078i | \(0.944629\pi\) | |||||||
\(314\) | −15.2943 | + | 4.96941i | −0.863105 | + | 0.280440i | ||||
\(315\) | −21.3941 | + | 2.64556i | −1.20542 | + | 0.149060i | ||||
\(316\) | −3.80867 | + | 11.7219i | −0.214254 | + | 0.659407i | ||||
\(317\) | 18.7018 | − | 25.7408i | 1.05040 | − | 1.44575i | 0.161932 | − | 0.986802i | \(-0.448228\pi\) |
0.888465 | − | 0.458945i | \(-0.151772\pi\) | |||||||
\(318\) | 4.33848i | 0.243290i | ||||||||
\(319\) | 6.86144 | − | 9.44396i | 0.384167 | − | 0.528760i | ||||
\(320\) | −1.52640 | − | 1.63404i | −0.0853284 | − | 0.0913458i | ||||
\(321\) | −4.51768 | + | 3.28229i | −0.252152 | + | 0.183199i | ||||
\(322\) | 2.24531 | − | 1.63132i | 0.125126 | − | 0.0909097i | ||||
\(323\) | 4.36122 | − | 1.41705i | 0.242665 | − | 0.0788466i | ||||
\(324\) | −6.25640 | −0.347578 | ||||||||
\(325\) | −11.5452 | − | 13.8459i | −0.640411 | − | 0.768033i | ||||
\(326\) | 2.13676 | 0.118344 | ||||||||
\(327\) | −6.48992 | + | 2.10870i | −0.358893 | + | 0.116612i | ||||
\(328\) | 5.96175 | − | 4.33146i | 0.329182 | − | 0.239165i | ||||
\(329\) | −9.98573 | + | 7.25506i | −0.550531 | + | 0.399984i | ||||
\(330\) | 0.633264 | + | 5.12108i | 0.0348600 | + | 0.281906i | ||||
\(331\) | 6.05604 | − | 8.33542i | 0.332870 | − | 0.458156i | −0.609472 | − | 0.792808i | \(-0.708619\pi\) |
0.942342 | + | 0.334651i | \(0.108619\pi\) | |||||||
\(332\) | − | 5.80950i | − | 0.318838i | ||||||
\(333\) | −10.7252 | + | 14.7619i | −0.587735 | + | 0.808948i | ||||
\(334\) | −6.83249 | + | 21.0283i | −0.373857 | + | 1.15061i | ||||
\(335\) | 2.88866 | − | 14.9294i | 0.157824 | − | 0.815682i | ||||
\(336\) | −1.92007 | + | 0.623869i | −0.104748 | + | 0.0340348i | ||||
\(337\) | −0.137204 | + | 0.422271i | −0.00747400 | + | 0.0230026i | −0.954724 | − | 0.297493i | \(-0.903849\pi\) |
0.947250 | + | 0.320496i | \(0.103849\pi\) | |||||||
\(338\) | 12.9871 | + | 0.578911i | 0.706405 | + | 0.0314886i | ||||
\(339\) | 0.781224 | + | 2.40436i | 0.0424303 | + | 0.130587i | ||||
\(340\) | −1.19494 | + | 0.558460i | −0.0648045 | + | 0.0302867i | ||||
\(341\) | 2.66862 | − | 8.21316i | 0.144514 | − | 0.444768i | ||||
\(342\) | 16.8808 | + | 12.2646i | 0.912811 | + | 0.663196i | ||||
\(343\) | 3.94736i | 0.213137i | ||||||||
\(344\) | −1.18217 | + | 1.62712i | −0.0637384 | + | 0.0877284i | ||||
\(345\) | −0.953478 | − | 0.184486i | −0.0513335 | − | 0.00993239i | ||||
\(346\) | 9.71131 | + | 13.3665i | 0.522083 | + | 0.718586i | ||||
\(347\) | 7.08654 | − | 5.14867i | 0.380425 | − | 0.276395i | −0.381095 | − | 0.924536i | \(-0.624453\pi\) |
0.761521 | + | 0.648141i | \(0.224453\pi\) | |||||||
\(348\) | −0.493861 | − | 1.51995i | −0.0264737 | − | 0.0814778i | ||||
\(349\) | 19.4630i | 1.04183i | 0.853608 | + | 0.520916i | \(0.174410\pi\) | ||||
−0.853608 | + | 0.520916i | \(0.825590\pi\) | |||||||
\(350\) | −16.6628 | − | 6.69889i | −0.890666 | − | 0.358071i | ||||
\(351\) | −11.4149 | + | 1.54819i | −0.609281 | + | 0.0826363i | ||||
\(352\) | −1.26869 | − | 3.90463i | −0.0676214 | − | 0.208117i | ||||
\(353\) | 6.49700 | + | 8.94236i | 0.345800 | + | 0.475954i | 0.946124 | − | 0.323803i | \(-0.104962\pi\) |
−0.600324 | + | 0.799757i | \(0.704962\pi\) | |||||||
\(354\) | −2.30666 | + | 1.67589i | −0.122598 | + | 0.0890724i | ||||
\(355\) | 10.5193 | + | 5.81911i | 0.558306 | + | 0.308846i | ||||
\(356\) | 7.40007 | − | 10.1853i | 0.392203 | − | 0.539821i | ||||
\(357\) | 1.19088i | 0.0630282i | ||||||||
\(358\) | 0.151035 | − | 0.207882i | 0.00798247 | − | 0.0109869i | ||||
\(359\) | −23.8172 | − | 7.73869i | −1.25703 | − | 0.408432i | −0.396592 | − | 0.917995i | \(-0.629807\pi\) |
−0.860434 | + | 0.509562i | \(0.829807\pi\) | |||||||
\(360\) | −5.25175 | − | 2.90519i | −0.276792 | − | 0.153117i | ||||
\(361\) | −12.8040 | − | 39.4068i | −0.673897 | − | 2.07404i | ||||
\(362\) | −20.7787 | − | 6.75142i | −1.09211 | − | 0.354847i | ||||
\(363\) | −1.01709 | + | 3.13028i | −0.0533834 | + | 0.164297i | ||||
\(364\) | 11.6670 | − | 5.62092i | 0.611516 | − | 0.294616i | ||||
\(365\) | −25.8109 | + | 24.1106i | −1.35100 | + | 1.26201i | ||||
\(366\) | 6.95582 | + | 2.26008i | 0.363587 | + | 0.118136i | ||||
\(367\) | −16.0962 | − | 11.6946i | −0.840216 | − | 0.610453i | 0.0822149 | − | 0.996615i | \(-0.473801\pi\) |
−0.922431 | + | 0.386162i | \(0.873801\pi\) | |||||||
\(368\) | 0.772694 | 0.0402795 | ||||||||
\(369\) | 11.6259 | − | 16.0017i | 0.605222 | − | 0.833016i | ||||
\(370\) | −13.7714 | + | 6.43615i | −0.715942 | + | 0.334599i | ||||
\(371\) | −16.2956 | − | 22.4289i | −0.846024 | − | 1.16445i | ||||
\(372\) | −0.694942 | − | 0.956505i | −0.0360310 | − | 0.0495925i | ||||
\(373\) | 1.03331 | + | 3.18020i | 0.0535027 | + | 0.164665i | 0.974237 | − | 0.225525i | \(-0.0724096\pi\) |
−0.920735 | + | 0.390189i | \(0.872410\pi\) | |||||||
\(374\) | −2.42176 | −0.125226 | ||||||||
\(375\) | 2.26721 | + | 5.86103i | 0.117078 | + | 0.302662i | ||||
\(376\) | −3.43645 | −0.177222 | ||||||||
\(377\) | 4.44958 | + | 9.23570i | 0.229165 | + | 0.475663i | ||||
\(378\) | −9.28384 | + | 6.74510i | −0.477509 | + | 0.346931i | ||||
\(379\) | 10.3711 | + | 14.2746i | 0.532728 | + | 0.733237i | 0.987543 | − | 0.157349i | \(-0.0502947\pi\) |
−0.454815 | + | 0.890586i | \(0.650295\pi\) | |||||||
\(380\) | 7.35999 | + | 15.7482i | 0.377560 | + | 0.807863i | ||||
\(381\) | −6.22199 | − | 4.52054i | −0.318762 | − | 0.231594i | ||||
\(382\) | − | 9.54959i | − | 0.488600i | ||||||
\(383\) | −18.4796 | + | 25.4350i | −0.944265 | + | 1.29967i | 0.00976327 | + | 0.999952i | \(0.496892\pi\) |
−0.954028 | + | 0.299717i | \(0.903108\pi\) | |||||||
\(384\) | −0.534571 | − | 0.173693i | −0.0272797 | − | 0.00886371i | ||||
\(385\) | −22.5089 | − | 24.0962i | −1.14716 | − | 1.22806i | ||||
\(386\) | −3.33230 | − | 10.2558i | −0.169610 | − | 0.522005i | ||||
\(387\) | −1.66816 | + | 5.13406i | −0.0847972 | + | 0.260979i | ||||
\(388\) | 15.4349 | + | 5.01510i | 0.783588 | + | 0.254603i | ||||
\(389\) | 7.78645 | + | 23.9642i | 0.394789 | + | 1.21503i | 0.929126 | + | 0.369763i | \(0.120561\pi\) |
−0.534337 | + | 0.845271i | \(0.679439\pi\) | |||||||
\(390\) | −4.22419 | − | 1.64073i | −0.213900 | − | 0.0830818i | ||||
\(391\) | 0.140847 | − | 0.433483i | 0.00712295 | − | 0.0219222i | ||||
\(392\) | 3.46853 | − | 4.77402i | 0.175187 | − | 0.241124i | ||||
\(393\) | −2.29017 | −0.115524 | ||||||||
\(394\) | −6.60997 | − | 4.80242i | −0.333005 | − | 0.241943i | ||||
\(395\) | −13.3405 | + | 24.1158i | −0.671233 | + | 1.21340i | ||||
\(396\) | −6.47716 | − | 8.91505i | −0.325490 | − | 0.447998i | ||||
\(397\) | −1.53138 | − | 2.10777i | −0.0768580 | − | 0.105786i | 0.768857 | − | 0.639421i | \(-0.220826\pi\) |
−0.845715 | + | 0.533635i | \(0.820826\pi\) | |||||||
\(398\) | 6.15856 | − | 2.00104i | 0.308701 | − | 0.100303i | ||||
\(399\) | 15.6947 | 0.785720 | ||||||||
\(400\) | −2.65689 | − | 4.23567i | −0.132845 | − | 0.211784i | ||||
\(401\) | 30.8112i | 1.53864i | 0.638866 | + | 0.769318i | \(0.279404\pi\) | ||||
−0.638866 | + | 0.769318i | \(0.720596\pi\) | |||||||
\(402\) | −1.18119 | − | 3.63534i | −0.0589125 | − | 0.181314i | ||||
\(403\) | 5.24198 | + | 5.48085i | 0.261122 | + | 0.273021i | ||||
\(404\) | 8.59733 | − | 6.24632i | 0.427733 | − | 0.310766i | ||||
\(405\) | −13.7350 | − | 2.65755i | −0.682497 | − | 0.132055i | ||||
\(406\) | 8.26215 | + | 6.00280i | 0.410043 | + | 0.297914i | ||||
\(407\) | −27.9104 | −1.38347 | ||||||||
\(408\) | −0.194884 | + | 0.268235i | −0.00964819 | + | 0.0132796i | ||||
\(409\) | 26.0222 | + | 8.45513i | 1.28672 | + | 0.418079i | 0.870940 | − | 0.491389i | \(-0.163510\pi\) |
0.415775 | + | 0.909468i | \(0.363510\pi\) | |||||||
\(410\) | 14.9280 | − | 6.97669i | 0.737242 | − | 0.344554i | ||||
\(411\) | 7.26360 | − | 2.36009i | 0.358287 | − | 0.116415i | ||||
\(412\) | 1.66729 | − | 5.13140i | 0.0821416 | − | 0.252806i | ||||
\(413\) | 5.63017 | − | 17.3279i | 0.277042 | − | 0.852649i | ||||
\(414\) | 1.97245 | − | 0.640889i | 0.0969408 | − | 0.0314980i | ||||
\(415\) | 2.46772 | − | 12.7539i | 0.121135 | − | 0.626064i | ||||
\(416\) | 3.54772 | + | 0.643204i | 0.173941 | + | 0.0315357i | ||||
\(417\) | −0.570098 | − | 0.414200i | −0.0279178 | − | 0.0202835i | ||||
\(418\) | 31.9166i | 1.56109i | ||||||||
\(419\) | 29.6299 | + | 21.5274i | 1.44752 | + | 1.05168i | 0.986404 | + | 0.164341i | \(0.0525499\pi\) |
0.461113 | + | 0.887341i | \(0.347450\pi\) | |||||||
\(420\) | −4.48023 | + | 0.554017i | −0.218613 | + | 0.0270333i | ||||
\(421\) | −7.05513 | − | 9.71055i | −0.343846 | − | 0.473263i | 0.601714 | − | 0.798712i | \(-0.294485\pi\) |
−0.945560 | + | 0.325448i | \(0.894485\pi\) | |||||||
\(422\) | 4.03929 | + | 5.55960i | 0.196629 | + | 0.270637i | ||||
\(423\) | −8.77222 | + | 2.85027i | −0.426520 | + | 0.138585i | ||||
\(424\) | − | 7.71861i | − | 0.374849i | ||||||
\(425\) | −2.86052 | + | 0.718440i | −0.138756 | + | 0.0348494i | ||||
\(426\) | 3.02186 | 0.146410 | ||||||||
\(427\) | −44.4489 | + | 14.4423i | −2.15103 | + | 0.698913i | ||||
\(428\) | 8.03742 | − | 5.83953i | 0.388503 | − | 0.282264i | ||||
\(429\) | −5.75092 | − | 6.01298i | −0.277657 | − | 0.290309i | ||||
\(430\) | −3.28644 | + | 3.06995i | −0.158486 | + | 0.148046i | ||||
\(431\) | −3.72383 | + | 5.12541i | −0.179371 | + | 0.246882i | −0.889229 | − | 0.457462i | \(-0.848759\pi\) |
0.709859 | + | 0.704344i | \(0.248759\pi\) | |||||||
\(432\) | −3.19491 | −0.153715 | ||||||||
\(433\) | 28.0021 | + | 20.3447i | 1.34569 | + | 0.977703i | 0.999214 | + | 0.0396452i | \(0.0126228\pi\) |
0.346479 | + | 0.938058i | \(0.387377\pi\) | |||||||
\(434\) | 7.18536 | + | 2.33467i | 0.344909 | + | 0.112068i | ||||
\(435\) | −0.438566 | − | 3.54660i | −0.0210276 | − | 0.170046i | ||||
\(436\) | 11.5462 | − | 3.75160i | 0.552964 | − | 0.179669i | ||||
\(437\) | −5.71291 | − | 1.85624i | −0.273285 | − | 0.0887958i | ||||
\(438\) | −2.74360 | + | 8.44392i | −0.131094 | + | 0.403466i | ||||
\(439\) | −9.62784 | − | 29.6315i | −0.459512 | − | 1.41423i | −0.865755 | − | 0.500467i | \(-0.833161\pi\) |
0.406243 | − | 0.913765i | \(-0.366839\pi\) | |||||||
\(440\) | −1.12664 | − | 9.11093i | −0.0537105 | − | 0.434347i | ||||
\(441\) | 4.89442 | − | 15.0635i | 0.233068 | − | 0.717309i | ||||
\(442\) | 1.00752 | − | 1.87303i | 0.0479228 | − | 0.0890911i | ||||
\(443\) | −15.7404 | −0.747851 | −0.373926 | − | 0.927459i | \(-0.621988\pi\) | ||||
−0.373926 | + | 0.927459i | \(0.621988\pi\) | |||||||
\(444\) | −2.24600 | + | 3.09135i | −0.106590 | + | 0.146709i | ||||
\(445\) | 20.5722 | − | 19.2170i | 0.975216 | − | 0.910974i | ||||
\(446\) | −19.7137 | + | 14.3228i | −0.933471 | + | 0.678206i | ||||
\(447\) | 3.76862 | + | 5.18706i | 0.178250 | + | 0.245340i | ||||
\(448\) | 3.41600 | − | 1.10993i | 0.161391 | − | 0.0524391i | ||||
\(449\) | − | 19.7152i | − | 0.930420i | −0.885200 | − | 0.465210i | \(-0.845979\pi\) | ||
0.885200 | − | 0.465210i | \(-0.154021\pi\) | |||||||
\(450\) | −10.2954 | − | 8.60871i | −0.485330 | − | 0.405819i | ||||
\(451\) | 30.2544 | 1.42463 | ||||||||
\(452\) | −1.38988 | − | 4.27761i | −0.0653744 | − | 0.201202i | ||||
\(453\) | 4.05932 | + | 5.58717i | 0.190723 | + | 0.262508i | ||||
\(454\) | 15.3525 | − | 11.1543i | 0.720530 | − | 0.523496i | ||||
\(455\) | 28.0007 | − | 7.38407i | 1.31269 | − | 0.346171i | ||||
\(456\) | 3.53509 | + | 2.56839i | 0.165546 | + | 0.120276i | ||||
\(457\) | − | 17.6787i | − | 0.826977i | −0.910509 | − | 0.413488i | \(-0.864310\pi\) | ||
0.910509 | − | 0.413488i | \(-0.135690\pi\) | |||||||
\(458\) | 13.1547 | + | 9.55746i | 0.614680 | + | 0.446591i | ||||
\(459\) | −0.582370 | + | 1.79235i | −0.0271827 | + | 0.0836597i | ||||
\(460\) | 1.69633 | + | 0.328219i | 0.0790920 | + | 0.0153033i | ||||
\(461\) | −3.69334 | + | 1.20004i | −0.172016 | + | 0.0558915i | −0.393759 | − | 0.919214i | \(-0.628826\pi\) |
0.221743 | + | 0.975105i | \(0.428826\pi\) | |||||||
\(462\) | −7.88298 | − | 2.56134i | −0.366749 | − | 0.119164i | ||||
\(463\) | −13.9300 | − | 4.52614i | −0.647383 | − | 0.210348i | −0.0331233 | − | 0.999451i | \(-0.510545\pi\) |
−0.614260 | + | 0.789104i | \(0.710545\pi\) | |||||||
\(464\) | 0.878629 | + | 2.70414i | 0.0407893 | + | 0.125537i | ||||
\(465\) | −1.11934 | − | 2.39506i | −0.0519083 | − | 0.111068i | ||||
\(466\) | 11.3165 | + | 3.67694i | 0.524225 | + | 0.170331i | ||||
\(467\) | 19.1387 | + | 13.9051i | 0.885633 | + | 0.643450i | 0.934736 | − | 0.355344i | \(-0.115636\pi\) |
−0.0491029 | + | 0.998794i | \(0.515636\pi\) | |||||||
\(468\) | 9.58973 | − | 1.30065i | 0.443286 | − | 0.0601224i | ||||
\(469\) | 19.7610 | + | 14.3572i | 0.912478 | + | 0.662954i | ||||
\(470\) | −7.54422 | − | 1.45971i | −0.347989 | − | 0.0673315i | ||||
\(471\) | −7.31272 | + | 5.31300i | −0.336952 | + | 0.244810i | ||||
\(472\) | 4.10379 | − | 2.98157i | 0.188892 | − | 0.137238i | ||||
\(473\) | −7.85311 | + | 2.55163i | −0.361086 | + | 0.117324i | ||||
\(474\) | 6.92771i | 0.318200i | ||||||||
\(475\) | 9.46838 | + | 37.6991i | 0.434439 | + | 1.72975i | ||||
\(476\) | − | 2.11870i | − | 0.0971106i | ||||||
\(477\) | −6.40198 | − | 19.7033i | −0.293127 | − | 0.902151i | ||||
\(478\) | 17.3238 | − | 12.5865i | 0.792373 | − | 0.575693i | ||||
\(479\) | 6.35461 | + | 8.74637i | 0.290350 | + | 0.399632i | 0.929128 | − | 0.369759i | \(-0.120560\pi\) |
−0.638778 | + | 0.769391i | \(0.720560\pi\) | |||||||
\(480\) | −1.09979 | − | 0.608388i | −0.0501984 | − | 0.0277690i | ||||
\(481\) | 11.6115 | − | 21.5864i | 0.529438 | − | 0.984253i | ||||
\(482\) | 5.22408 | 0.237950 | ||||||||
\(483\) | 0.916932 | − | 1.26205i | 0.0417218 | − | 0.0574252i | ||||
\(484\) | 1.80951 | − | 5.56909i | 0.0822503 | − | 0.253141i | ||||
\(485\) | 31.7547 | + | 17.5662i | 1.44191 | + | 0.797642i | ||||
\(486\) | −12.4601 | + | 4.04853i | −0.565201 | + | 0.183645i | ||||
\(487\) | 1.79855 | + | 0.584385i | 0.0815002 | + | 0.0264810i | 0.349483 | − | 0.936943i | \(-0.386357\pi\) |
−0.267983 | + | 0.963424i | \(0.586357\pi\) | |||||||
\(488\) | −12.3751 | − | 4.02092i | −0.560195 | − | 0.182018i | ||||
\(489\) | 1.14225 | − | 0.371139i | 0.0516542 | − | 0.0167835i | ||||
\(490\) | 9.64250 | − | 9.00731i | 0.435604 | − | 0.406909i | ||||
\(491\) | −13.0581 | + | 40.1886i | −0.589302 | + | 1.81368i | −0.00803997 | + | 0.999968i | \(0.502559\pi\) |
−0.581262 | + | 0.813717i | \(0.697441\pi\) | |||||||
\(492\) | 2.43463 | − | 3.35098i | 0.109762 | − | 0.151074i | ||||
\(493\) | 1.67719 | 0.0755367 | ||||||||
\(494\) | −24.6849 | − | 13.2782i | −1.11062 | − | 0.597413i | ||||
\(495\) | −10.4328 | − | 22.3230i | −0.468919 | − | 1.00334i | ||||
\(496\) | 1.23637 | + | 1.70172i | 0.0555148 | + | 0.0764095i | ||||
\(497\) | −15.6223 | + | 11.3503i | −0.700756 | + | 0.509129i | ||||
\(498\) | −1.00907 | − | 3.10559i | −0.0452174 | − | 0.139165i | ||||
\(499\) | − | 32.1726i | − | 1.44024i | −0.693848 | − | 0.720122i | \(-0.744086\pi\) | ||
0.693848 | − | 0.720122i | \(-0.255914\pi\) | |||||||
\(500\) | −4.03361 | − | 10.4274i | −0.180388 | − | 0.466326i | ||||
\(501\) | 12.4278i | 0.555235i | ||||||||
\(502\) | −14.1234 | + | 4.58896i | −0.630357 | + | 0.204815i | ||||
\(503\) | −15.8917 | + | 11.5460i | −0.708576 | + | 0.514811i | −0.882714 | − | 0.469911i | \(-0.844286\pi\) |
0.174138 | + | 0.984721i | \(0.444286\pi\) | |||||||
\(504\) | 7.79942 | − | 5.66661i | 0.347414 | − | 0.252411i | ||||
\(505\) | 21.5274 | − | 10.0610i | 0.957958 | − | 0.447707i | ||||
\(506\) | 2.56648 | + | 1.86466i | 0.114094 | + | 0.0828942i | ||||
\(507\) | 7.04308 | − | 1.94629i | 0.312794 | − | 0.0864380i | ||||
\(508\) | 11.0696 | + | 8.04251i | 0.491133 | + | 0.356829i | ||||
\(509\) | 6.39328 | + | 2.07730i | 0.283377 | + | 0.0920748i | 0.447257 | − | 0.894405i | \(-0.352401\pi\) |
−0.163880 | + | 0.986480i | \(0.552401\pi\) | |||||||
\(510\) | −0.541777 | + | 0.506088i | −0.0239903 | + | 0.0224100i | ||||
\(511\) | −17.5321 | − | 53.9581i | −0.775573 | − | 2.38697i | ||||
\(512\) | 0.951057 | + | 0.309017i | 0.0420312 | + | 0.0136568i | ||||
\(513\) | 23.6215 | + | 7.67510i | 1.04292 | + | 0.338864i | ||||
\(514\) | 5.61418 | − | 1.82416i | 0.247631 | − | 0.0804602i | ||||
\(515\) | 5.83997 | − | 10.5570i | 0.257340 | − | 0.465197i | ||||
\(516\) | −0.349336 | + | 1.07515i | −0.0153787 | + | 0.0473306i | ||||
\(517\) | −11.4141 | − | 8.29282i | −0.501991 | − | 0.364718i | ||||
\(518\) | − | 24.4177i | − | 1.07285i | ||||||
\(519\) | 7.51304 | + | 5.45854i | 0.329786 | + | 0.239603i | ||||
\(520\) | 7.51527 | + | 2.91903i | 0.329566 | + | 0.128008i | ||||
\(521\) | −29.2771 | + | 21.2711i | −1.28266 | + | 0.931903i | −0.999630 | − | 0.0272089i | \(-0.991338\pi\) |
−0.283025 | + | 0.959112i | \(0.591338\pi\) | |||||||
\(522\) | 4.48575 | + | 6.17411i | 0.196336 | + | 0.270233i | ||||
\(523\) | −0.751286 | − | 2.31222i | −0.0328514 | − | 0.101106i | 0.933286 | − | 0.359133i | \(-0.116928\pi\) |
−0.966138 | + | 0.258027i | \(0.916928\pi\) | |||||||
\(524\) | 4.07445 | 0.177993 | ||||||||
\(525\) | −10.0710 | − | 0.686819i | −0.439535 | − | 0.0299752i | ||||
\(526\) | 22.6578i | 0.987925i | ||||||||
\(527\) | 1.18004 | − | 0.383417i | 0.0514032 | − | 0.0167019i | ||||
\(528\) | −1.35641 | − | 1.86694i | −0.0590302 | − | 0.0812480i | ||||
\(529\) | 18.1244 | − | 13.1681i | 0.788016 | − | 0.572527i | ||||
\(530\) | 3.27866 | − | 16.9451i | 0.142416 | − | 0.736046i | ||||
\(531\) | 8.00274 | − | 11.0148i | 0.347289 | − | 0.478003i | ||||
\(532\) | −27.9226 | −1.21060 | ||||||||
\(533\) | −12.5867 | + | 23.3993i | −0.545189 | + | 1.01354i | ||||
\(534\) | 2.18675 | − | 6.73011i | 0.0946298 | − | 0.291241i | ||||
\(535\) | 20.1254 | − | 9.40574i | 0.870098 | − | 0.406646i | ||||
\(536\) | 2.10146 | + | 6.46764i | 0.0907694 | + | 0.279359i | ||||
\(537\) | 0.0446315 | − | 0.137362i | 0.00192599 | − | 0.00592759i | ||||
\(538\) | 3.56314 | + | 1.15774i | 0.153618 | + | 0.0499135i | ||||
\(539\) | 23.0412 | − | 7.48655i | 0.992456 | − | 0.322469i | ||||
\(540\) | −7.01394 | − | 1.35711i | −0.301832 | − | 0.0584007i | ||||
\(541\) | 22.5315 | + | 7.32094i | 0.968706 | + | 0.314752i | 0.750294 | − | 0.661105i | \(-0.229912\pi\) |
0.218413 | + | 0.975857i | \(0.429912\pi\) | |||||||
\(542\) | −5.58554 | − | 4.05813i | −0.239919 | − | 0.174312i | ||||
\(543\) | −12.2804 | −0.527001 | ||||||||
\(544\) | 0.346718 | − | 0.477217i | 0.0148654 | − | 0.0204605i | ||||
\(545\) | 26.9416 | − | 3.33155i | 1.15405 | − | 0.142708i | ||||
\(546\) | 5.26052 | − | 5.03125i | 0.225129 | − | 0.215317i | ||||
\(547\) | −24.4699 | + | 17.7784i | −1.04626 | + | 0.760149i | −0.971497 | − | 0.237052i | \(-0.923819\pi\) |
−0.0747590 | + | 0.997202i | \(0.523819\pi\) | |||||||
\(548\) | −12.9227 | + | 4.19884i | −0.552030 | + | 0.179366i | ||||
\(549\) | −34.9250 | −1.49056 | ||||||||
\(550\) | 1.39670 | − | 20.4803i | 0.0595557 | − | 0.873282i | ||||
\(551\) | − | 22.1038i | − | 0.941653i | ||||||
\(552\) | 0.413060 | − | 0.134211i | 0.0175810 | − | 0.00571241i | ||||
\(553\) | −26.0208 | − | 35.8146i | −1.10652 | − | 1.52299i | ||||
\(554\) | −8.52849 | − | 11.7385i | −0.362341 | − | 0.498720i | ||||
\(555\) | −6.24388 | + | 5.83257i | −0.265038 | + | 0.247579i | ||||
\(556\) | 1.01426 | + | 0.736905i | 0.0430143 | + | 0.0312517i | ||||
\(557\) | 5.82972i | 0.247013i | 0.992344 | + | 0.123507i | \(0.0394140\pi\) | ||||
−0.992344 | + | 0.123507i | \(0.960586\pi\) | |||||||
\(558\) | 4.56753 | + | 3.31850i | 0.193359 | + | 0.140483i | ||||
\(559\) | 1.29363 | − | 7.13527i | 0.0547148 | − | 0.301790i | ||||
\(560\) | 7.97079 | − | 0.985653i | 0.336827 | − | 0.0416515i | ||||
\(561\) | −1.29460 | + | 0.420642i | −0.0546582 | + | 0.0177595i | ||||
\(562\) | −2.95499 | + | 9.09452i | −0.124649 | + | 0.383629i | ||||
\(563\) | −4.95024 | + | 15.2353i | −0.208628 | + | 0.642091i | 0.790917 | + | 0.611923i | \(0.209604\pi\) |
−0.999545 | + | 0.0301672i | \(0.990396\pi\) | |||||||
\(564\) | −1.83703 | + | 0.596886i | −0.0773528 | + | 0.0251335i | ||||
\(565\) | −1.23426 | − | 9.98123i | −0.0519257 | − | 0.419913i | ||||
\(566\) | −19.2750 | − | 6.26282i | −0.810187 | − | 0.263246i | ||||
\(567\) | 13.2085 | − | 18.1800i | 0.554707 | − | 0.763488i | ||||
\(568\) | −5.37620 | −0.225580 | ||||||||
\(569\) | 17.9526 | + | 13.0433i | 0.752612 | + | 0.546805i | 0.896635 | − | 0.442770i | \(-0.146004\pi\) |
−0.144023 | + | 0.989574i | \(0.546004\pi\) | |||||||
\(570\) | 6.66977 | + | 7.14013i | 0.279366 | + | 0.299067i | ||||
\(571\) | −14.8864 | + | 10.8156i | −0.622975 | + | 0.452618i | −0.853959 | − | 0.520339i | \(-0.825805\pi\) |
0.230984 | + | 0.972957i | \(0.425805\pi\) | |||||||
\(572\) | 10.2315 | + | 10.6977i | 0.427799 | + | 0.447294i | ||||
\(573\) | −1.65869 | − | 5.10493i | −0.0692929 | − | 0.213262i | ||||
\(574\) | 26.4684i | 1.10477i | ||||||||
\(575\) | 3.58463 | + | 1.44111i | 0.149489 | + | 0.0600986i | ||||
\(576\) | 2.68406 | 0.111836 | ||||||||
\(577\) | −14.3885 | + | 4.67511i | −0.599002 | + | 0.194628i | −0.592795 | − | 0.805353i | \(-0.701976\pi\) |
−0.00620677 | + | 0.999981i | \(0.501976\pi\) | |||||||
\(578\) | 9.78783 | + | 13.4718i | 0.407120 | + | 0.560353i | ||||
\(579\) | −3.56270 | − | 4.90364i | −0.148061 | − | 0.203788i | ||||
\(580\) | 0.780254 | + | 6.30976i | 0.0323983 | + | 0.261999i | ||||
\(581\) | 16.8814 | + | 12.2650i | 0.700358 | + | 0.508840i | ||||
\(582\) | 9.12213 | 0.378125 | ||||||||
\(583\) | 18.6265 | − | 25.6372i | 0.771430 | − | 1.06178i | ||||
\(584\) | 4.88114 | − | 15.0226i | 0.201983 | − | 0.621640i | ||||
\(585\) | 21.6053 | + | 1.21808i | 0.893270 | + | 0.0503615i | ||||
\(586\) | 2.34233 | + | 7.20895i | 0.0967607 | + | 0.297799i | ||||
\(587\) | 30.7837 | + | 10.0022i | 1.27058 | + | 0.412836i | 0.865252 | − | 0.501336i | \(-0.167158\pi\) |
0.405326 | + | 0.914172i | \(0.367158\pi\) | |||||||
\(588\) | 1.02496 | − | 3.15451i | 0.0422687 | − | 0.130090i | ||||
\(589\) | −5.05308 | − | 15.5518i | −0.208209 | − | 0.640800i | ||||
\(590\) | 10.2757 | − | 4.80243i | 0.423046 | − | 0.197713i | ||||
\(591\) | −4.36764 | − | 1.41913i | −0.179661 | − | 0.0583753i | ||||
\(592\) | 3.99587 | − | 5.49984i | 0.164229 | − | 0.226042i | ||||
\(593\) | − | 4.16492i | − | 0.171033i | −0.996337 | − | 0.0855163i | \(-0.972746\pi\) | ||
0.996337 | − | 0.0855163i | \(-0.0272540\pi\) | |||||||
\(594\) | −10.6118 | − | 7.70992i | −0.435407 | − | 0.316342i | ||||
\(595\) | 0.899968 | − | 4.65130i | 0.0368951 | − | 0.190685i | ||||
\(596\) | −6.70477 | − | 9.22832i | −0.274638 | − | 0.378007i | ||||
\(597\) | 2.94462 | − | 2.13939i | 0.120515 | − | 0.0875596i | ||||
\(598\) | −2.50989 | + | 1.20921i | −0.102637 | + | 0.0494484i | ||||
\(599\) | 33.0094 | 1.34873 | 0.674364 | − | 0.738399i | \(-0.264418\pi\) | ||||
0.674364 | + | 0.738399i | \(0.264418\pi\) | |||||||
\(600\) | −2.15600 | − | 1.80279i | −0.0880184 | − | 0.0735984i | ||||
\(601\) | −40.1843 | −1.63915 | −0.819576 | − | 0.572971i | \(-0.805791\pi\) | ||||
−0.819576 | + | 0.572971i | \(0.805791\pi\) | |||||||
\(602\) | −2.23232 | − | 6.87037i | −0.0909825 | − | 0.280015i | ||||
\(603\) | 10.7288 | + | 14.7669i | 0.436910 | + | 0.601356i | ||||
\(604\) | −7.22194 | − | 9.94015i | −0.293857 | − | 0.404459i | ||||
\(605\) | 6.33810 | − | 11.4575i | 0.257681 | − | 0.465813i | ||||
\(606\) | 3.51094 | − | 4.83239i | 0.142622 | − | 0.196303i | ||||
\(607\) | 26.8574 | 1.09011 | 0.545054 | − | 0.838401i | \(-0.316509\pi\) | ||||
0.545054 | + | 0.838401i | \(0.316509\pi\) | |||||||
\(608\) | −6.28928 | − | 4.56943i | −0.255064 | − | 0.185315i | ||||
\(609\) | 5.45934 | + | 1.77385i | 0.221224 | + | 0.0718800i | ||||
\(610\) | −25.4598 | − | 14.0839i | −1.03084 | − | 0.570242i | ||||
\(611\) | 11.1624 | − | 5.37781i | 0.451582 | − | 0.217563i | ||||
\(612\) | 0.489253 | − | 1.50577i | 0.0197769 | − | 0.0608670i | ||||
\(613\) | 16.4724 | + | 5.35219i | 0.665312 | + | 0.216173i | 0.622154 | − | 0.782895i | \(-0.286258\pi\) |
0.0431586 | + | 0.999068i | \(0.486258\pi\) | |||||||
\(614\) | 1.44800 | + | 4.45647i | 0.0584364 | + | 0.179849i | ||||
\(615\) | 6.76828 | − | 6.32242i | 0.272924 | − | 0.254945i | ||||
\(616\) | 14.0246 | + | 4.55688i | 0.565068 | + | 0.183602i | ||||
\(617\) | 28.5397 | − | 39.2816i | 1.14897 | − | 1.58142i | 0.403342 | − | 0.915049i | \(-0.367848\pi\) |
0.745624 | − | 0.666367i | \(-0.232152\pi\) | |||||||
\(618\) | − | 3.03269i | − | 0.121993i | ||||||
\(619\) | −16.1131 | + | 22.1778i | −0.647640 | + | 0.891400i | −0.998994 | − | 0.0448424i | \(-0.985721\pi\) |
0.351354 | + | 0.936243i | \(0.385721\pi\) | |||||||
\(620\) | 1.99143 | + | 4.26105i | 0.0799776 | + | 0.171128i | ||||
\(621\) | 1.99721 | − | 1.45106i | 0.0801452 | − | 0.0582289i | ||||
\(622\) | −6.92335 | − | 9.52918i | −0.277601 | − | 0.382085i | ||||
\(623\) | 13.9737 | + | 43.0066i | 0.559844 | + | 1.72302i | ||||
\(624\) | 2.00823 | − | 0.272374i | 0.0803934 | − | 0.0109037i | ||||
\(625\) | −4.42592 | − | 24.6051i | −0.177037 | − | 0.984204i | ||||
\(626\) | − | 16.5935i | − | 0.663211i | ||||||
\(627\) | 5.54368 | + | 17.0617i | 0.221393 | + | 0.681378i | ||||
\(628\) | 13.0101 | − | 9.45237i | 0.519158 | − | 0.377191i | ||||
\(629\) | −2.35705 | − | 3.24420i | −0.0939818 | − | 0.129355i | ||||
\(630\) | 19.5295 | − | 9.12722i | 0.778074 | − | 0.363637i | ||||
\(631\) | −2.26580 | + | 3.11861i | −0.0902001 | + | 0.124150i | −0.851732 | − | 0.523978i | \(-0.824448\pi\) |
0.761532 | + | 0.648127i | \(0.224448\pi\) | |||||||
\(632\) | − | 12.3251i | − | 0.490266i | ||||||
\(633\) | 3.12495 | + | 2.27041i | 0.124206 | + | 0.0902406i | ||||
\(634\) | −9.83211 | + | 30.2601i | −0.390483 | + | 1.20178i | ||||
\(635\) | 20.8853 | + | 22.3582i | 0.828810 | + | 0.887258i | ||||
\(636\) | −1.34067 | − | 4.12614i | −0.0531608 | − | 0.163612i | ||||
\(637\) | −3.79555 | + | 20.9351i | −0.150385 | + | 0.829479i | ||||
\(638\) | −3.60727 | + | 11.1020i | −0.142813 | + | 0.439534i | ||||
\(639\) | −13.7238 | + | 4.45914i | −0.542906 | + | 0.176401i | ||||
\(640\) | 1.95664 | + | 1.08238i | 0.0773430 | + | 0.0427850i | ||||
\(641\) | 0.945030 | − | 2.90850i | 0.0373264 | − | 0.114879i | −0.930657 | − | 0.365892i | \(-0.880764\pi\) |
0.967984 | + | 0.251013i | \(0.0807638\pi\) | |||||||
\(642\) | 3.28229 | − | 4.51768i | 0.129542 | − | 0.178299i | ||||
\(643\) | − | 34.9230i | − | 1.37723i | −0.725128 | − | 0.688614i | \(-0.758219\pi\) | ||
0.725128 | − | 0.688614i | \(-0.241781\pi\) | |||||||
\(644\) | −1.63132 | + | 2.24531i | −0.0642828 | + | 0.0884777i | ||||
\(645\) | −1.22361 | + | 2.21193i | −0.0481795 | + | 0.0870948i | ||||
\(646\) | −3.70988 | + | 2.69538i | −0.145963 | + | 0.106048i | ||||
\(647\) | −39.7177 | + | 28.8566i | −1.56146 | + | 1.13447i | −0.626667 | + | 0.779287i | \(0.715582\pi\) |
−0.934797 | + | 0.355183i | \(0.884418\pi\) | |||||||
\(648\) | 5.95019 | − | 1.93333i | 0.233745 | − | 0.0759485i | ||||
\(649\) | 20.8257 | 0.817481 | ||||||||
\(650\) | 15.2587 | + | 9.60059i | 0.598497 | + | 0.376566i | ||||
\(651\) | 4.24660 | 0.166437 | ||||||||
\(652\) | −2.03218 | + | 0.660294i | −0.0795861 | + | 0.0258591i | ||||
\(653\) | 2.37158 | − | 1.72306i | 0.0928072 | − | 0.0674284i | −0.540414 | − | 0.841399i | \(-0.681732\pi\) |
0.633221 | + | 0.773971i | \(0.281732\pi\) | |||||||
\(654\) | 5.52065 | − | 4.01099i | 0.215875 | − | 0.156842i | ||||
\(655\) | 8.94486 | + | 1.73072i | 0.349504 | + | 0.0676247i | ||||
\(656\) | −4.33146 | + | 5.96175i | −0.169115 | + | 0.232767i | ||||
\(657\) | − | 42.3967i | − | 1.65405i | ||||||
\(658\) | 7.25506 | − | 9.98573i | 0.282832 | − | 0.389284i | ||||
\(659\) | 8.30066 | − | 25.5468i | 0.323348 | − | 0.995162i | −0.648833 | − | 0.760931i | \(-0.724743\pi\) |
0.972181 | − | 0.234231i | \(-0.0752573\pi\) | |||||||
\(660\) | −2.18477 | − | 4.67475i | −0.0850421 | − | 0.181964i | ||||
\(661\) | −29.9782 | + | 9.74051i | −1.16602 | + | 0.378862i | −0.827155 | − | 0.561974i | \(-0.810042\pi\) |
−0.338862 | + | 0.940836i | \(0.610042\pi\) | |||||||
\(662\) | −3.18385 | + | 9.79888i | −0.123744 | + | 0.380844i | ||||
\(663\) | 0.213258 | − | 1.17627i | 0.00828227 | − | 0.0456824i | ||||
\(664\) | 1.79523 | + | 5.52516i | 0.0696686 | + | 0.214418i | ||||
\(665\) | −61.2998 | − | 11.8607i | −2.37711 | − | 0.459940i | ||||
\(666\) | 5.63855 | − | 17.3537i | 0.218489 | − | 0.672441i | ||||
\(667\) | −1.77741 | − | 1.29137i | −0.0688217 | − | 0.0500019i | ||||
\(668\) | − | 22.1104i | − | 0.855478i | ||||||
\(669\) | −8.05060 | + | 11.0807i | −0.311254 | + | 0.428405i | ||||
\(670\) | 1.86617 | + | 15.0914i | 0.0720965 | + | 0.583031i | ||||
\(671\) | −31.4004 | − | 43.2189i | −1.21220 | − | 1.66845i | ||||
\(672\) | 1.63331 | − | 1.18667i | 0.0630063 | − | 0.0457767i | ||||
\(673\) | 14.0691 | + | 43.3001i | 0.542323 | + | 1.66910i | 0.727272 | + | 0.686350i | \(0.240788\pi\) |
−0.184949 | + | 0.982748i | \(0.559212\pi\) | |||||||
\(674\) | − | 0.444003i | − | 0.0171023i | ||||||
\(675\) | −14.8216 | − | 5.95866i | −0.570484 | − | 0.229349i | ||||
\(676\) | −12.5304 | + | 3.46266i | −0.481937 | + | 0.133179i | ||||
\(677\) | 0.551320 | + | 1.69679i | 0.0211890 | + | 0.0652129i | 0.961092 | − | 0.276229i | \(-0.0890848\pi\) |
−0.939903 | + | 0.341442i | \(0.889085\pi\) | |||||||
\(678\) | −1.48598 | − | 2.04527i | −0.0570686 | − | 0.0785482i | ||||
\(679\) | −47.1592 | + | 34.2632i | −1.80981 | + | 1.31490i | ||||
\(680\) | 0.963878 | − | 0.900383i | 0.0369630 | − | 0.0345281i | ||||
\(681\) | 6.26960 | − | 8.62937i | 0.240252 | − | 0.330678i | ||||
\(682\) | 8.63583i | 0.330683i | ||||||||
\(683\) | 22.4277 | − | 30.8691i | 0.858172 | − | 1.18117i | −0.123830 | − | 0.992303i | \(-0.539518\pi\) |
0.982002 | − | 0.188870i | \(-0.0604823\pi\) | |||||||
\(684\) | −19.8446 | − | 6.44791i | −0.758778 | − | 0.246542i | ||||
\(685\) | −30.1534 | + | 3.72872i | −1.15210 | + | 0.142467i | ||||
\(686\) | −1.21980 | − | 3.75416i | −0.0465722 | − | 0.143335i | ||||
\(687\) | 8.69219 | + | 2.82426i | 0.331628 | + | 0.107752i | ||||
\(688\) | 0.621504 | − | 1.91279i | 0.0236946 | − | 0.0729246i | ||||
\(689\) | 12.0791 | + | 25.0718i | 0.460177 | + | 0.955160i | ||||
\(690\) | 0.963820 | − | 0.119184i | 0.0366920 | − | 0.00453727i | ||||
\(691\) | 22.5678 | + | 7.33272i | 0.858520 | + | 0.278950i | 0.705010 | − | 0.709197i | \(-0.250942\pi\) |
0.153509 | + | 0.988147i | \(0.450942\pi\) | |||||||
\(692\) | −13.3665 | − | 9.71131i | −0.508117 | − | 0.369169i | ||||
\(693\) | 39.5802 | 1.50353 | ||||||||
\(694\) | −5.14867 | + | 7.08654i | −0.195441 | + | 0.269001i | ||||
\(695\) | 1.91365 | + | 2.04860i | 0.0725887 | + | 0.0777077i | ||||
\(696\) | 0.939379 | + | 1.29294i | 0.0356071 | + | 0.0490090i | ||||
\(697\) | 2.55501 | + | 3.51667i | 0.0967780 | + | 0.133203i | ||||
\(698\) | −6.01441 | − | 18.5105i | −0.227649 | − | 0.700631i | ||||
\(699\) | 6.68811 | 0.252967 | ||||||||
\(700\) | 17.9174 | + | 1.22192i | 0.677213 | + | 0.0461843i | ||||
\(701\) | 14.5127 | 0.548137 | 0.274068 | − | 0.961710i | \(-0.411630\pi\) | ||||
0.274068 | + | 0.961710i | \(0.411630\pi\) | |||||||
\(702\) | 10.3778 | − | 4.99981i | 0.391684 | − | 0.188706i | ||||
\(703\) | −42.7556 | + | 31.0638i | −1.61256 | + | 1.17159i | ||||
\(704\) | 2.41319 | + | 3.32147i | 0.0909506 | + | 0.125183i | ||||
\(705\) | −4.28646 | + | 0.530056i | −0.161438 | + | 0.0199631i | ||||
\(706\) | −8.94236 | − | 6.49700i | −0.336550 | − | 0.244518i | ||||
\(707\) | 38.1696i | 1.43552i | ||||||||
\(708\) | 1.67589 | − | 2.30666i | 0.0629837 | − | 0.0866896i | ||||
\(709\) | −0.124149 | − | 0.0403385i | −0.00466251 | − | 0.00151494i | 0.306685 | − | 0.951811i | \(-0.400780\pi\) |
−0.311347 | + | 0.950296i | \(0.600780\pi\) | |||||||
\(710\) | −11.8027 | − | 2.28366i | −0.442946 | − | 0.0857044i | ||||
\(711\) | −10.2227 | − | 31.4623i | −0.383381 | − | 1.17993i | ||||
\(712\) | −3.89045 | + | 11.9736i | −0.145801 | + | 0.448728i | ||||
\(713\) | −1.54577 | − | 0.502251i | −0.0578895 | − | 0.0188094i | ||||
\(714\) | −0.368003 | − | 1.13260i | −0.0137722 | − | 0.0423864i | ||||
\(715\) | 17.9176 | + | 27.8313i | 0.670079 | + | 1.04083i | ||||
\(716\) | −0.0794040 | + | 0.244380i | −0.00296747 | + | 0.00913292i | ||||
\(717\) | 7.07463 | − | 9.73739i | 0.264207 | − | 0.363650i | ||||
\(718\) | 25.0429 | 0.934594 | ||||||||
\(719\) | −32.4092 | − | 23.5467i | −1.20866 | − | 0.878144i | −0.213552 | − | 0.976932i | \(-0.568503\pi\) |
−0.995109 | + | 0.0987880i | \(0.968503\pi\) | |||||||
\(720\) | 5.89247 | + | 1.14012i | 0.219599 | + | 0.0424897i | ||||
\(721\) | 11.3910 | + | 15.6783i | 0.424221 | + | 0.583890i | ||||
\(722\) | 24.3547 | + | 33.5214i | 0.906390 | + | 1.24754i | ||||
\(723\) | 2.79264 | − | 0.907384i | 0.103859 | − | 0.0337460i | ||||
\(724\) | 21.8480 | 0.811976 | ||||||||
\(725\) | −0.967285 | + | 14.1836i | −0.0359241 | + | 0.526765i | ||||
\(726\) | − | 3.29137i | − | 0.122154i | ||||||
\(727\) | 0.340587 | + | 1.04822i | 0.0126317 | + | 0.0388763i | 0.957174 | − | 0.289514i | \(-0.0934938\pi\) |
−0.944542 | + | 0.328391i | \(0.893494\pi\) | |||||||
\(728\) | −9.35900 | + | 8.95110i | −0.346867 | + | 0.331750i | ||||
\(729\) | 9.22699 | − | 6.70380i | 0.341741 | − | 0.248289i | ||||
\(730\) | 17.0970 | − | 30.9065i | 0.632789 | − | 1.14390i | ||||
\(731\) | −0.959793 | − | 0.697331i | −0.0354992 | − | 0.0257917i | ||||
\(732\) | −7.31378 | −0.270325 | ||||||||
\(733\) | 1.90532 | − | 2.62244i | 0.0703745 | − | 0.0968621i | −0.772379 | − | 0.635162i | \(-0.780933\pi\) |
0.842753 | + | 0.538300i | \(0.180933\pi\) | |||||||
\(734\) | 18.9222 | + | 6.14821i | 0.698433 | + | 0.226935i | ||||
\(735\) | 3.59010 | − | 6.48988i | 0.132423 | − | 0.239383i | ||||
\(736\) | −0.734876 | + | 0.238776i | −0.0270879 | + | 0.00880138i | ||||
\(737\) | −8.62770 | + | 26.5533i | −0.317805 | + | 0.978104i | ||||
\(738\) | −6.11211 | + | 18.8111i | −0.224990 | + | 0.692448i | ||||
\(739\) | −28.6081 | + | 9.29534i | −1.05237 | + | 0.341935i | −0.783597 | − | 0.621270i | \(-0.786617\pi\) |
−0.268770 | + | 0.963204i | \(0.586617\pi\) | |||||||
\(740\) | 11.1085 | − | 10.3767i | 0.408357 | − | 0.381457i | ||||
\(741\) | −15.5021 | − | 2.81055i | −0.569485 | − | 0.103248i | ||||
\(742\) | 22.4289 | + | 16.2956i | 0.823392 | + | 0.598229i | ||||
\(743\) | 10.4367i | 0.382885i | 0.981504 | + | 0.191443i | \(0.0613166\pi\) | ||||
−0.981504 | + | 0.191443i | \(0.938683\pi\) | |||||||
\(744\) | 0.956505 | + | 0.694942i | 0.0350672 | + | 0.0254778i | ||||
\(745\) | −10.7994 | − | 23.1074i | −0.395659 | − | 0.846590i | ||||
\(746\) | −1.96547 | − | 2.70524i | −0.0719610 | − | 0.0990459i | ||||
\(747\) | 9.16538 | + | 12.6151i | 0.335344 | + | 0.461561i | ||||
\(748\) | 2.30323 | − | 0.748366i | 0.0842145 | − | 0.0273630i | ||||
\(749\) | 35.6838i | 1.30386i | ||||||||
\(750\) | −3.96741 | − | 4.87356i | −0.144869 | − | 0.177957i | ||||
\(751\) | 11.6006 | 0.423312 | 0.211656 | − | 0.977344i | \(-0.432114\pi\) | ||||
0.211656 | + | 0.977344i | \(0.432114\pi\) | |||||||
\(752\) | 3.26826 | − | 1.06192i | 0.119181 | − | 0.0387243i | ||||
\(753\) | −6.75287 | + | 4.90625i | −0.246088 | + | 0.178794i | ||||
\(754\) | −7.08579 | − | 7.40868i | −0.258049 | − | 0.269808i | ||||
\(755\) | −11.6324 | − | 24.8898i | −0.423346 | − | 0.905833i | ||||
\(756\) | 6.74510 | − | 9.28384i | 0.245317 | − | 0.337650i | ||||
\(757\) | 2.80617 | 0.101992 | 0.0509959 | − | 0.998699i | \(-0.483760\pi\) | ||||
0.0509959 | + | 0.998699i | \(0.483760\pi\) | |||||||
\(758\) | −14.2746 | − | 10.3711i | −0.518477 | − | 0.376696i | ||||
\(759\) | 1.69584 | + | 0.551013i | 0.0615553 | + | 0.0200005i | ||||
\(760\) | −11.8662 | − | 12.7030i | −0.430433 | − | 0.460787i | ||||
\(761\) | −25.7293 | + | 8.35996i | −0.932687 | + | 0.303048i | −0.735661 | − | 0.677350i | \(-0.763128\pi\) |
−0.197026 | + | 0.980398i | \(0.563128\pi\) | |||||||
\(762\) | 7.31439 | + | 2.37659i | 0.264973 | + | 0.0860948i | ||||
\(763\) | −13.4750 | + | 41.4717i | −0.487827 | + | 1.50138i | ||||
\(764\) | 2.95099 | + | 9.08220i | 0.106763 | + | 0.328582i | ||||
\(765\) | 1.71369 | − | 3.09787i | 0.0619586 | − | 0.112004i | ||||
\(766\) | 9.71532 | − | 29.9007i | 0.351029 | − | 1.08036i | ||||
\(767\) | −8.66407 | + | 16.1070i | −0.312841 | + | 0.581589i | ||||
\(768\) | 0.562081 | 0.0202824 | ||||||||
\(769\) | 5.56063 | − | 7.65355i | 0.200522 | − | 0.275994i | −0.696900 | − | 0.717168i | \(-0.745438\pi\) |
0.897422 | + | 0.441174i | \(0.145438\pi\) | |||||||
\(770\) | 28.8534 | + | 15.9612i | 1.03980 | + | 0.575203i | ||||
\(771\) | 2.68434 | − | 1.95028i | 0.0966740 | − | 0.0702378i | ||||
\(772\) | 6.33841 | + | 8.72408i | 0.228124 | + | 0.313986i | ||||
\(773\) | −30.7770 | + | 10.0001i | −1.10697 | + | 0.359677i | −0.804782 | − | 0.593570i | \(-0.797718\pi\) |
−0.302190 | + | 0.953248i | \(0.597718\pi\) | |||||||
\(774\) | − | 5.39827i | − | 0.194037i | ||||||
\(775\) | 2.56190 | + | 10.2004i | 0.0920263 | + | 0.366410i | ||||
\(776\) | −16.2292 | −0.582595 | ||||||||
\(777\) | −4.24117 | − | 13.0530i | −0.152151 | − | 0.468273i | ||||
\(778\) | −14.8107 | − | 20.3852i | −0.530990 | − | 0.730844i | ||||
\(779\) | 46.3465 | − | 33.6727i | 1.66054 | − | 1.20645i | ||||
\(780\) | 4.52446 | + | 0.255084i | 0.162002 | + | 0.00913346i | ||||
\(781\) | −17.8569 | − | 12.9738i | −0.638971 | − | 0.464239i | ||||
\(782\) | 0.455791i | 0.0162991i | ||||||||
\(783\) | 7.34918 | + | 5.33949i | 0.262638 | + | 0.190818i | ||||
\(784\) | −1.82351 | + | 5.61219i | −0.0651254 | + | 0.200435i | ||||
\(785\) | 32.5768 | − | 15.2249i | 1.16272 | − | 0.543402i | ||||
\(786\) | 2.17808 | − | 0.707702i | 0.0776897 | − | 0.0252429i | ||||
\(787\) | −36.2978 | − | 11.7939i | −1.29388 | − | 0.420406i | −0.420429 | − | 0.907325i | \(-0.638120\pi\) |
−0.873447 | + | 0.486920i | \(0.838120\pi\) | |||||||
\(788\) | 7.77048 | + | 2.52478i | 0.276812 | + | 0.0899417i | ||||
\(789\) | 3.93549 | + | 12.1122i | 0.140107 | + | 0.431205i | ||||
\(790\) | 5.23537 | − | 27.0579i | 0.186266 | − | 0.962678i | ||||
\(791\) | 15.3643 | + | 4.99216i | 0.546291 | + | 0.177501i | ||||
\(792\) | 8.91505 | + | 6.47716i | 0.316783 | + | 0.230156i | ||||
\(793\) | 46.4897 | − | 6.30535i | 1.65090 | − | 0.223910i | ||||
\(794\) | 2.10777 | + | 1.53138i | 0.0748020 | + | 0.0543468i | ||||
\(795\) | −1.19056 | − | 9.62781i | −0.0422247 | − | 0.341463i | ||||
\(796\) | −5.23879 | + | 3.80620i | −0.185684 | + | 0.134907i | ||||
\(797\) | −39.9663 | + | 29.0372i | −1.41568 | + | 1.02855i | −0.423214 | + | 0.906030i | \(0.639098\pi\) |
−0.992466 | + | 0.122522i | \(0.960902\pi\) | |||||||
\(798\) | −14.9266 | + | 4.84994i | −0.528395 | + | 0.171686i | ||||
\(799\) | − | 2.02707i | − | 0.0717126i | ||||||
\(800\) | 3.83575 | + | 3.20734i | 0.135614 | + | 0.113397i | ||||
\(801\) | 33.7917i | 1.19397i | ||||||||
\(802\) | −9.52117 | − | 29.3032i | −0.336204 | − | 1.03473i | ||||
\(803\) | 52.4650 | − | 38.1181i | 1.85145 | − | 1.34516i | ||||
\(804\) | 2.24676 | + | 3.09240i | 0.0792372 | + | 0.109061i | ||||
\(805\) | −4.53506 | + | 4.23631i | −0.159840 | + | 0.149310i | ||||
\(806\) | −6.67910 | − | 3.59274i | −0.235261 | − | 0.126549i | ||||
\(807\) | 2.10584 | 0.0741292 | ||||||||
\(808\) | −6.24632 | + | 8.59733i | −0.219745 | + | 0.302453i | ||||
\(809\) | −2.20986 | + | 6.80124i | −0.0776945 | + | 0.239119i | −0.982359 | − | 0.187006i | \(-0.940122\pi\) |
0.904664 | + | 0.426125i | \(0.140122\pi\) | |||||||
\(810\) | 13.8840 | − | 1.71687i | 0.487833 | − | 0.0603246i | ||||
\(811\) | −46.6523 | + | 15.1583i | −1.63818 | + | 0.532278i | −0.976132 | − | 0.217180i | \(-0.930314\pi\) |
−0.662052 | + | 0.749458i | \(0.730314\pi\) | |||||||
\(812\) | −9.71273 | − | 3.15586i | −0.340850 | − | 0.110749i | ||||
\(813\) | −3.69073 | − | 1.19919i | −0.129440 | − | 0.0420575i | ||||
\(814\) | 26.5443 | − | 8.62478i | 0.930378 | − | 0.302298i | ||||
\(815\) | −4.74181 | + | 0.586364i | −0.166099 | + | 0.0205394i | ||||
\(816\) | 0.102457 | − | 0.315329i | 0.00358670 | − | 0.0110387i | ||||
\(817\) | −9.19018 | + | 12.6492i | −0.321524 | + | 0.442539i | ||||
\(818\) | −27.3614 | −0.956668 | ||||||||
\(819\) | −16.4664 | + | 30.6120i | −0.575384 | + | 1.06967i | ||||
\(820\) | −12.0415 | + | 11.2482i | −0.420506 | + | 0.392806i | ||||
\(821\) | −3.96258 | − | 5.45403i | −0.138295 | − | 0.190347i | 0.734252 | − | 0.678877i | \(-0.237533\pi\) |
−0.872547 | + | 0.488530i | \(0.837533\pi\) | |||||||
\(822\) | −6.17879 | + | 4.48915i | −0.215510 | + | 0.156577i | ||||
\(823\) | −15.6933 | − | 48.2990i | −0.547034 | − | 1.68360i | −0.716104 | − | 0.697993i | \(-0.754077\pi\) |
0.169071 | − | 0.985604i | \(-0.445923\pi\) | |||||||
\(824\) | 5.39547i | 0.187960i | ||||||||
\(825\) | −2.81063 | − | 11.1908i | −0.0978537 | − | 0.389612i | ||||
\(826\) | 18.2196i | 0.633941i | ||||||||
\(827\) | −10.3572 | + | 3.36526i | −0.360155 | + | 0.117021i | −0.483505 | − | 0.875342i | \(-0.660636\pi\) |
0.123350 | + | 0.992363i | \(0.460636\pi\) | |||||||
\(828\) | −1.67787 | + | 1.21904i | −0.0583100 | + | 0.0423647i | ||||
\(829\) | −18.2199 | + | 13.2375i | −0.632802 | + | 0.459758i | −0.857370 | − | 0.514701i | \(-0.827903\pi\) |
0.224568 | + | 0.974458i | \(0.427903\pi\) | |||||||
\(830\) | 1.59423 | + | 12.8922i | 0.0553365 | + | 0.447496i | ||||
\(831\) | −6.59797 | − | 4.79371i | −0.228881 | − | 0.166292i | ||||
\(832\) | −3.57284 | + | 0.484581i | −0.123866 | + | 0.0167998i | ||||
\(833\) | 2.81606 | + | 2.04599i | 0.0975707 | + | 0.0708893i | ||||
\(834\) | 0.670190 | + | 0.217758i | 0.0232068 | + | 0.00754034i | ||||
\(835\) | 9.39190 | − | 48.5401i | 0.325020 | − | 1.67980i | ||||
\(836\) | −9.86277 | − | 30.3545i | −0.341111 | − | 1.04983i | ||||
\(837\) | 6.39139 | + | 2.07669i | 0.220919 | + | 0.0717808i | ||||
\(838\) | −34.8321 | − | 11.3176i | −1.20325 | − | 0.390961i | ||||
\(839\) | 33.7375 | − | 10.9620i | 1.16475 | − | 0.378449i | 0.338067 | − | 0.941122i | \(-0.390227\pi\) |
0.826680 | + | 0.562673i | \(0.190227\pi\) | |||||||
\(840\) | 4.08975 | − | 1.91137i | 0.141110 | − | 0.0659485i | ||||
\(841\) | −6.46328 | + | 19.8919i | −0.222872 | + | 0.685929i | ||||
\(842\) | 9.71055 | + | 7.05513i | 0.334648 | + | 0.243136i | ||||
\(843\) | 5.37493i | 0.185122i | ||||||||
\(844\) | −5.55960 | − | 4.03929i | −0.191369 | − | 0.139038i | ||||
\(845\) | −28.9794 | + | 2.27919i | −0.996921 | + | 0.0784067i | ||||
\(846\) | 7.46210 | − | 5.42153i | 0.256552 | − | 0.186396i | ||||
\(847\) | 12.3626 | + | 17.0156i | 0.424783 | + | 0.584663i | ||||
\(848\) | 2.38518 | + | 7.34083i | 0.0819075 | + | 0.252085i | ||||
\(849\) | −11.3916 | −0.390960 | ||||||||
\(850\) | 2.49851 | − | 1.56723i | 0.0856981 | − | 0.0537554i | ||||
\(851\) | 5.25291i | 0.180067i | ||||||||
\(852\) | −2.87396 | + | 0.933806i | −0.0984603 | + | 0.0319917i | ||||
\(853\) | 12.3986 | + | 17.0652i | 0.424519 | + | 0.584300i | 0.966684 | − | 0.255972i | \(-0.0823954\pi\) |
−0.542165 | + | 0.840272i | \(0.682395\pi\) | |||||||
\(854\) | 37.8105 | − | 27.4709i | 1.29385 | − | 0.940036i | ||||
\(855\) | −40.8270 | − | 22.5849i | −1.39625 | − | 0.772387i | ||||
\(856\) | −5.83953 | + | 8.03742i | −0.199591 | + | 0.274713i | ||||
\(857\) | 1.67189 | 0.0571107 | 0.0285554 | − | 0.999592i | \(-0.490909\pi\) | ||||
0.0285554 | + | 0.999592i | \(0.490909\pi\) | |||||||
\(858\) | 7.32756 | + | 3.94155i | 0.250159 | + | 0.134562i | ||||
\(859\) | 11.6002 | − | 35.7018i | 0.395794 | − | 1.21813i | −0.532548 | − | 0.846400i | \(-0.678765\pi\) |
0.928342 | − | 0.371728i | \(-0.121235\pi\) | |||||||
\(860\) | 2.17692 | − | 3.93526i | 0.0742325 | − | 0.134191i | ||||
\(861\) | 4.59737 | + | 14.1492i | 0.156678 | + | 0.482205i | ||||
\(862\) | 1.95773 | − | 6.02528i | 0.0666807 | − | 0.205222i | ||||
\(863\) | −17.1527 | − | 5.57325i | −0.583885 | − | 0.189716i | 0.00215548 | − | 0.999998i | \(-0.499314\pi\) |
−0.586040 | + | 0.810282i | \(0.699314\pi\) | |||||||
\(864\) | 3.03854 | − | 0.987280i | 0.103373 | − | 0.0335879i | ||||
\(865\) | −25.2190 | − | 26.9975i | −0.857472 | − | 0.917941i | ||||
\(866\) | −32.9184 | − | 10.6958i | −1.11861 | − | 0.363459i | ||||
\(867\) | 7.57224 | + | 5.50155i | 0.257167 | + | 0.186843i | ||||
\(868\) | −7.55514 | −0.256438 | ||||||||
\(869\) | 29.7428 | − | 40.9375i | 1.00896 | − | 1.38871i | ||||
\(870\) | 1.51306 | + | 3.23749i | 0.0512975 | + | 0.109761i | ||||
\(871\) | −16.9474 | − | 17.7197i | −0.574242 | − | 0.600410i | ||||
\(872\) | −9.82181 | + | 7.13596i | −0.332609 | + | 0.241654i | ||||
\(873\) | −41.4283 | + | 13.4609i | −1.40213 | + | 0.455581i | ||||
\(874\) | 6.00691 | 0.203187 | ||||||||
\(875\) | 38.8159 | + | 10.2934i | 1.31222 | + | 0.347979i | ||||
\(876\) | − | 8.87846i | − | 0.299976i | ||||||
\(877\) | −22.7778 | + | 7.40095i | −0.769152 | + | 0.249912i | −0.667202 | − | 0.744877i | \(-0.732508\pi\) |
−0.101950 | + | 0.994790i | \(0.532508\pi\) | |||||||
\(878\) | 18.3132 | + | 25.2060i | 0.618042 | + | 0.850662i | ||||
\(879\) | 2.50428 | + | 3.44685i | 0.0844673 | + | 0.116259i | ||||
\(880\) | 3.88693 | + | 8.31686i | 0.131028 | + | 0.280361i | ||||
\(881\) | −26.1901 | − | 19.0282i | −0.882368 | − | 0.641078i | 0.0515092 | − | 0.998673i | \(-0.483597\pi\) |
−0.933877 | + | 0.357595i | \(0.883597\pi\) | |||||||
\(882\) | 15.8387i | 0.533316i | ||||||||
\(883\) | −22.3376 | − | 16.2292i | −0.751722 | − | 0.546158i | 0.144638 | − | 0.989485i | \(-0.453798\pi\) |
−0.896360 | + | 0.443327i | \(0.853798\pi\) | |||||||
\(884\) | −0.379409 | + | 2.09270i | −0.0127609 | + | 0.0703851i | ||||
\(885\) | 4.65897 | − | 4.35206i | 0.156609 | − | 0.146293i | ||||
\(886\) | 14.9701 | − | 4.86407i | 0.502929 | − | 0.163411i | ||||
\(887\) | −1.66209 | + | 5.11540i | −0.0558077 | + | 0.171758i | −0.975075 | − | 0.221875i | \(-0.928782\pi\) |
0.919267 | + | 0.393634i | \(0.128782\pi\) | |||||||
\(888\) | 1.18079 | − | 3.63411i | 0.0396248 | − | 0.121953i | ||||
\(889\) | −46.7403 | + | 15.1868i | −1.56762 | + | 0.509350i | ||||
\(890\) | −13.6269 | + | 24.6336i | −0.456776 | + | 0.825721i | ||||
\(891\) | 24.4289 | + | 7.93743i | 0.818399 | + | 0.265914i | ||||
\(892\) | 14.3228 | − | 19.7137i | 0.479564 | − | 0.660064i | ||||
\(893\) | −26.7149 | −0.893981 | ||||||||
\(894\) | −5.18706 | − | 3.76862i | −0.173481 | − | 0.126042i | ||||
\(895\) | −0.278126 | + | 0.502772i | −0.00929672 | + | 0.0168058i | ||||
\(896\) | −2.90582 | + | 2.11121i | −0.0970768 | + | 0.0705304i | ||||
\(897\) | −1.13168 | + | 1.08236i | −0.0377857 | + | 0.0361389i | ||||
\(898\) | 6.09234 | + | 18.7503i | 0.203304 | + | 0.625706i | ||||
\(899\) | − | 5.98073i | − | 0.199468i | ||||||
\(900\) | 12.4517 | + | 5.00592i | 0.415058 | + | 0.166864i | ||||
\(901\) | 4.55300 | 0.151682 | ||||||||
\(902\) | −28.7737 | + | 9.34914i | −0.958059 | + | 0.311292i | ||||
\(903\) | −2.38666 | − | 3.28496i | −0.0794232 | − | 0.109317i | ||||
\(904\) | 2.64371 | + | 3.63875i | 0.0879283 | + | 0.121023i | ||||
\(905\) | 47.9641 | + | 9.28046i | 1.59438 | + | 0.308493i | ||||
\(906\) | −5.58717 | − | 4.05932i | −0.185621 | − | 0.134862i | ||||
\(907\) | −12.2279 | −0.406022 | −0.203011 | − | 0.979176i | \(-0.565073\pi\) | ||||
−0.203011 | + | 0.979176i | \(0.565073\pi\) | |||||||
\(908\) | −11.1543 | + | 15.3525i | −0.370167 | + | 0.509492i | ||||
\(909\) | −8.81416 | + | 27.1272i | −0.292347 | + | 0.899753i | ||||
\(910\) | −24.3485 | + | 15.6754i | −0.807144 | + | 0.519634i | ||||
\(911\) | 17.5632 | + | 54.0539i | 0.581895 | + | 1.79089i | 0.611399 | + | 0.791323i | \(0.290607\pi\) |
−0.0295044 | + | 0.999565i | \(0.509393\pi\) | |||||||
\(912\) | −4.15574 | − | 1.35028i | −0.137610 | − | 0.0447123i | ||||
\(913\) | −7.37045 | + | 22.6839i | −0.243926 | + | 0.750728i | ||||
\(914\) | 5.46303 | + | 16.8135i | 0.180701 | + | 0.556141i | ||||
\(915\) | −16.0563 | − | 3.10670i | −0.530806 | − | 0.102704i | ||||
\(916\) | −15.4643 | − | 5.02466i | −0.510955 | − | 0.166019i | ||||
\(917\) | −8.60201 | + | 11.8396i | −0.284063 | + | 0.390980i | ||||
\(918\) | − | 1.88459i | − | 0.0622007i | ||||||
\(919\) | 34.3086 | + | 24.9267i | 1.13174 | + | 0.822255i | 0.985947 | − | 0.167061i | \(-0.0534276\pi\) |
0.145790 | + | 0.989316i | \(0.453428\pi\) | |||||||
\(920\) | −1.71474 | + | 0.212041i | −0.0565332 | + | 0.00699079i | ||||
\(921\) | 1.54811 | + | 2.13079i | 0.0510121 | + | 0.0702121i | ||||
\(922\) | 3.14175 | − | 2.28261i | 0.103468 | − | 0.0751738i | ||||
\(923\) | 17.4631 | − | 8.41339i | 0.574806 | − | 0.276930i | ||||
\(924\) | 8.28865 | 0.272677 | ||||||||
\(925\) | 28.7948 | − | 18.0620i | 0.946769 | − | 0.593875i | ||||
\(926\) | 14.6469 | 0.481327 | ||||||||
\(927\) | 4.47512 | + | 13.7730i | 0.146982 | + | 0.452365i | ||||
\(928\) | −1.67125 | − | 2.30028i | −0.0548616 | − | 0.0755104i | ||||
\(929\) | 31.4389 | + | 43.2719i | 1.03148 | + | 1.41971i | 0.903833 | + | 0.427886i | \(0.140741\pi\) |
0.127644 | + | 0.991820i | \(0.459259\pi\) | |||||||
\(930\) | 1.80467 | + | 1.93194i | 0.0591775 | + | 0.0633508i | ||||
\(931\) | 26.9642 | − | 37.1131i | 0.883717 | − | 1.21633i | ||||
\(932\) | −11.8988 | −0.389759 | ||||||||
\(933\) | −5.35617 | − | 3.89149i | −0.175353 | − | 0.127402i | ||||
\(934\) | −22.4989 | − | 7.31033i | −0.736186 | − | 0.239201i | ||||
\(935\) | 5.37429 | − | 0.664575i | 0.175758 | − | 0.0217339i | ||||
\(936\) | −8.71846 | + | 4.20038i | −0.284972 | + | 0.137294i | ||||
\(937\) | 8.10809 | − | 24.9541i | 0.264880 | − | 0.815216i | −0.726841 | − | 0.686805i | \(-0.759013\pi\) |
0.991721 | − | 0.128410i | \(-0.0409875\pi\) | |||||||
\(938\) | −23.2304 | − | 7.54803i | −0.758501 | − | 0.246452i | ||||
\(939\) | −2.88217 | − | 8.87041i | −0.0940561 | − | 0.289475i | ||||
\(940\) | 7.62606 | − | 0.943024i | 0.248735 | − | 0.0307581i | ||||
\(941\) | 45.4028 | + | 14.7523i | 1.48009 | + | 0.480910i | 0.934139 | − | 0.356908i | \(-0.116169\pi\) |
0.545949 | + | 0.837818i | \(0.316169\pi\) | |||||||
\(942\) | 5.31300 | − | 7.31272i | 0.173107 | − | 0.238261i | ||||
\(943\) | − | 5.69408i | − | 0.185425i | ||||||
\(944\) | −2.98157 | + | 4.10379i | −0.0970420 | + | 0.133567i | ||||
\(945\) | 18.7514 | − | 17.5161i | 0.609983 | − | 0.569800i | ||||
\(946\) | 6.68025 | − | 4.85349i | 0.217194 | − | 0.157800i | ||||
\(947\) | 9.98757 | + | 13.7467i | 0.324552 | + | 0.446708i | 0.939850 | − | 0.341587i | \(-0.110964\pi\) |
−0.615298 | + | 0.788295i | \(0.710964\pi\) | |||||||
\(948\) | −2.14078 | − | 6.58864i | −0.0695293 | − | 0.213989i | ||||
\(949\) | 7.65429 | + | 56.4355i | 0.248469 | + | 1.83197i | ||||
\(950\) | −20.6546 | − | 32.9280i | −0.670124 | − | 1.06833i | ||||
\(951\) | 17.8839i | 0.579926i | ||||||||
\(952\) | 0.654715 | + | 2.01501i | 0.0212194 | + | 0.0653067i | ||||
\(953\) | 11.1768 | − | 8.12043i | 0.362053 | − | 0.263047i | −0.391855 | − | 0.920027i | \(-0.628167\pi\) |
0.753908 | + | 0.656980i | \(0.228167\pi\) | |||||||
\(954\) | 12.1773 | + | 16.7606i | 0.394254 | + | 0.542645i | ||||
\(955\) | 2.62058 | + | 21.1921i | 0.0847999 | + | 0.685761i | ||||
\(956\) | −12.5865 | + | 17.3238i | −0.407076 | + | 0.560292i | ||||
\(957\) | 6.56139i | 0.212100i | ||||||||
\(958\) | −8.74637 | − | 6.35461i | −0.282582 | − | 0.205308i | ||||
\(959\) | 15.0814 | − | 46.4157i | 0.487003 | − | 1.49884i | ||||
\(960\) | 1.23397 | + | 0.238757i | 0.0398261 | + | 0.00770584i | ||||
\(961\) | 8.21229 | + | 25.2748i | 0.264913 | + | 0.815317i | ||||
\(962\) | −4.37262 | + | 24.1180i | −0.140979 | + | 0.777595i | ||||
\(963\) | −8.24014 | + | 25.3605i | −0.265535 | + | 0.817232i | ||||
\(964\) | −4.96839 | + | 1.61433i | −0.160021 | + | 0.0519940i | ||||
\(965\) | 10.2093 | + | 21.8448i | 0.328649 | + | 0.703209i | ||||
\(966\) | −0.482059 | + | 1.48363i | −0.0155100 | + | 0.0477349i | ||||
\(967\) | 4.84945 | − | 6.67470i | 0.155948 | − | 0.214644i | −0.723893 | − | 0.689912i | \(-0.757649\pi\) |
0.879841 | + | 0.475269i | \(0.157649\pi\) | |||||||
\(968\) | 5.85569i | 0.188209i | ||||||||
\(969\) | −1.51502 | + | 2.08525i | −0.0486696 | + | 0.0669879i | ||||
\(970\) | −35.6288 | − | 6.89373i | −1.14397 | − | 0.221344i | ||||
\(971\) | 7.24888 | − | 5.26662i | 0.232628 | − | 0.169014i | −0.465365 | − | 0.885119i | \(-0.654077\pi\) |
0.697993 | + | 0.716105i | \(0.254077\pi\) | |||||||
\(972\) | 10.5992 | − | 7.70076i | 0.339969 | − | 0.247002i | ||||
\(973\) | −4.28263 | + | 1.39151i | −0.137295 | + | 0.0446098i | ||||
\(974\) | −1.89111 | −0.0605951 | ||||||||
\(975\) | 9.82442 | + | 2.48187i | 0.314633 | + | 0.0794833i | ||||
\(976\) | 13.0120 | 0.416503 | ||||||||
\(977\) | −5.05994 | + | 1.64407i | −0.161882 | + | 0.0525986i | −0.388837 | − | 0.921307i | \(-0.627123\pi\) |
0.226955 | + | 0.973905i | \(0.427123\pi\) | |||||||
\(978\) | −0.971654 | + | 0.705948i | −0.0310701 | + | 0.0225737i | ||||
\(979\) | −41.8165 | + | 30.3815i | −1.33646 | + | 0.970997i | ||||
\(980\) | −6.38716 | + | 11.5462i | −0.204030 | + | 0.368828i | ||||
\(981\) | −19.1534 | + | 26.3624i | −0.611521 | + | 0.841686i | ||||
\(982\) | − | 42.2568i | − | 1.34847i | ||||||
\(983\) | −5.21987 | + | 7.18454i | −0.166488 | + | 0.229151i | −0.884107 | − | 0.467285i | \(-0.845232\pi\) |
0.717619 | + | 0.696436i | \(0.245232\pi\) | |||||||
\(984\) | −1.27996 | + | 3.93932i | −0.0408037 | + | 0.125581i | ||||
\(985\) | 15.9865 | + | 8.84348i | 0.509372 | + | 0.281777i | ||||
\(986\) | −1.59510 | + | 0.518280i | −0.0507983 | + | 0.0165054i | ||||
\(987\) | 2.14390 | − | 6.59823i | 0.0682409 | − | 0.210024i | ||||
\(988\) | 27.5799 | + | 5.00026i | 0.877433 | + | 0.159079i | ||||
\(989\) | 0.480233 | + | 1.47800i | 0.0152705 | + | 0.0469978i | ||||
\(990\) | 16.8203 | + | 18.0065i | 0.534586 | + | 0.572285i | ||||
\(991\) | 5.70485 | − | 17.5577i | 0.181220 | − | 0.557739i | −0.818642 | − | 0.574304i | \(-0.805273\pi\) |
0.999863 | + | 0.0165644i | \(0.00527286\pi\) | |||||||
\(992\) | −1.70172 | − | 1.23637i | −0.0540297 | − | 0.0392549i | ||||
\(993\) | 5.79121i | 0.183778i | ||||||||
\(994\) | 11.3503 | − | 15.6223i | 0.360009 | − | 0.495509i | ||||
\(995\) | −13.1178 | + | 6.13066i | −0.415861 | + | 0.194355i | ||||
\(996\) | 1.91936 | + | 2.64177i | 0.0608172 | + | 0.0837077i | ||||
\(997\) | 15.1543 | − | 11.0102i | 0.479941 | − | 0.348698i | −0.321362 | − | 0.946956i | \(-0.604141\pi\) |
0.801303 | + | 0.598259i | \(0.204141\pi\) | |||||||
\(998\) | 9.94188 | + | 30.5980i | 0.314705 | + | 0.968561i | ||||
\(999\) | − | 21.7195i | − | 0.687175i |
(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 | 650.2.p.a.181.8 | ✓ | 136 | |
13.12 | even | 2 | inner | 650.2.p.a.181.25 | yes | 136 | |
25.21 | even | 5 | inner | 650.2.p.a.571.25 | yes | 136 | |
325.246 | even | 10 | inner | 650.2.p.a.571.8 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
650.2.p.a.181.8 | ✓ | 136 | 1.1 | even | 1 | trivial | |
650.2.p.a.181.25 | yes | 136 | 13.12 | even | 2 | inner | |
650.2.p.a.571.8 | yes | 136 | 325.246 | even | 10 | inner | |
650.2.p.a.571.25 | yes | 136 | 25.21 | even | 5 | inner |