Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(71,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([6, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.h (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: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 3 x^{19} + 15 x^{18} - 30 x^{17} + 145 x^{16} - 194 x^{15} + 1187 x^{14} - 1490 x^{13} + 10170 x^{12} - 13920 x^{11} + 42087 x^{10} - 591 x^{9} + 65635 x^{8} + 120715 x^{7} + \cdots + 400 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 71.4 | ||
Root | \(1.88692 + 1.37093i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 350.71 |
Dual form | 350.2.h.d.281.4 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 | ||||
\(3\) | 1.88692 | + | 1.37093i | 1.08942 | + | 0.791506i | 0.979300 | − | 0.202412i | \(-0.0648781\pi\) |
0.110115 | + | 0.993919i | \(0.464878\pi\) | |||||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | 1.06221 | − | 1.96767i | 0.475035 | − | 0.879967i | ||||
\(6\) | −1.88692 | + | 1.37093i | −0.770333 | + | 0.559680i | ||||
\(7\) | 1.00000 | 0.377964 | ||||||||
\(8\) | 0.809017 | − | 0.587785i | 0.286031 | − | 0.207813i | ||||
\(9\) | 0.753978 | + | 2.32051i | 0.251326 | + | 0.773502i | ||||
\(10\) | 1.54312 | + | 1.61826i | 0.487977 | + | 0.511740i | ||||
\(11\) | −0.266278 | + | 0.819519i | −0.0802858 | + | 0.247094i | −0.983141 | − | 0.182851i | \(-0.941467\pi\) |
0.902855 | + | 0.429946i | \(0.141467\pi\) | |||||||
\(12\) | −0.720740 | − | 2.21821i | −0.208060 | − | 0.640342i | ||||
\(13\) | 1.36720 | + | 4.20782i | 0.379194 | + | 1.16704i | 0.940606 | + | 0.339501i | \(0.110258\pi\) |
−0.561412 | + | 0.827537i | \(0.689742\pi\) | |||||||
\(14\) | −0.309017 | + | 0.951057i | −0.0825883 | + | 0.254181i | ||||
\(15\) | 4.70184 | − | 2.25662i | 1.21401 | − | 0.582656i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 3.22852 | − | 2.34566i | 0.783031 | − | 0.568905i | −0.122856 | − | 0.992424i | \(-0.539205\pi\) |
0.905887 | + | 0.423519i | \(0.139205\pi\) | |||||||
\(18\) | −2.43992 | −0.575096 | ||||||||
\(19\) | −1.11960 | + | 0.813435i | −0.256853 | + | 0.186615i | −0.708759 | − | 0.705451i | \(-0.750744\pi\) |
0.451905 | + | 0.892066i | \(0.350744\pi\) | |||||||
\(20\) | −2.01591 | + | 0.967523i | −0.450772 | + | 0.216345i | ||||
\(21\) | 1.88692 | + | 1.37093i | 0.411760 | + | 0.299161i | ||||
\(22\) | −0.697124 | − | 0.506490i | −0.148627 | − | 0.107984i | ||||
\(23\) | −0.705847 | + | 2.17238i | −0.147179 | + | 0.452972i | −0.997285 | − | 0.0736410i | \(-0.976538\pi\) |
0.850105 | + | 0.526612i | \(0.176538\pi\) | |||||||
\(24\) | 2.33236 | 0.476092 | ||||||||
\(25\) | −2.74342 | − | 4.18015i | −0.548683 | − | 0.836030i | ||||
\(26\) | −4.42436 | −0.867688 | ||||||||
\(27\) | 0.403669 | − | 1.24237i | 0.0776862 | − | 0.239093i | ||||
\(28\) | −0.809017 | − | 0.587785i | −0.152890 | − | 0.111081i | ||||
\(29\) | −0.564037 | − | 0.409797i | −0.104739 | − | 0.0760974i | 0.534183 | − | 0.845369i | \(-0.320619\pi\) |
−0.638922 | + | 0.769272i | \(0.720619\pi\) | |||||||
\(30\) | 0.693221 | + | 5.16905i | 0.126564 | + | 0.943735i | ||||
\(31\) | −6.02141 | + | 4.37481i | −1.08148 | + | 0.785740i | −0.977940 | − | 0.208886i | \(-0.933016\pi\) |
−0.103538 | + | 0.994626i | \(0.533016\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −1.62595 | + | 1.18132i | −0.283041 | + | 0.205641i | ||||
\(34\) | 1.23318 | + | 3.79535i | 0.211489 | + | 0.650898i | ||||
\(35\) | 1.06221 | − | 1.96767i | 0.179546 | − | 0.332596i | ||||
\(36\) | 0.753978 | − | 2.32051i | 0.125663 | − | 0.386751i | ||||
\(37\) | −2.65369 | − | 8.16721i | −0.436263 | − | 1.34268i | −0.891787 | − | 0.452456i | \(-0.850548\pi\) |
0.455523 | − | 0.890224i | \(-0.349452\pi\) | |||||||
\(38\) | −0.427648 | − | 1.31617i | −0.0693737 | − | 0.213510i | ||||
\(39\) | −3.18881 | + | 9.81416i | −0.510619 | + | 1.57152i | ||||
\(40\) | −0.297218 | − | 2.21623i | −0.0469943 | − | 0.350416i | ||||
\(41\) | −0.109311 | − | 0.336424i | −0.0170715 | − | 0.0525405i | 0.942158 | − | 0.335169i | \(-0.108794\pi\) |
−0.959229 | + | 0.282629i | \(0.908794\pi\) | |||||||
\(42\) | −1.88692 | + | 1.37093i | −0.291158 | + | 0.211539i | ||||
\(43\) | −6.63436 | −1.01173 | −0.505865 | − | 0.862612i | \(-0.668827\pi\) | ||||
−0.505865 | + | 0.862612i | \(0.668827\pi\) | |||||||
\(44\) | 0.697124 | − | 0.506490i | 0.105095 | − | 0.0763563i | ||||
\(45\) | 5.36686 | + | 0.981290i | 0.800045 | + | 0.146282i | ||||
\(46\) | −1.84793 | − | 1.34260i | −0.272463 | − | 0.197956i | ||||
\(47\) | −4.27541 | − | 3.10627i | −0.623632 | − | 0.453096i | 0.230556 | − | 0.973059i | \(-0.425946\pi\) |
−0.854188 | + | 0.519964i | \(0.825946\pi\) | |||||||
\(48\) | −0.720740 | + | 2.21821i | −0.104030 | + | 0.320171i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | 4.82332 | − | 1.31741i | 0.682121 | − | 0.186309i | ||||
\(51\) | 9.30770 | 1.30334 | ||||||||
\(52\) | 1.36720 | − | 4.20782i | 0.189597 | − | 0.583519i | ||||
\(53\) | −0.878059 | − | 0.637947i | −0.120611 | − | 0.0876288i | 0.525845 | − | 0.850581i | \(-0.323749\pi\) |
−0.646455 | + | 0.762952i | \(0.723749\pi\) | |||||||
\(54\) | 1.05682 | + | 0.767824i | 0.143815 | + | 0.104488i | ||||
\(55\) | 1.32970 | + | 1.39445i | 0.179296 | + | 0.188027i | ||||
\(56\) | 0.809017 | − | 0.587785i | 0.108109 | − | 0.0785461i | ||||
\(57\) | −3.22776 | −0.427527 | ||||||||
\(58\) | 0.564037 | − | 0.409797i | 0.0740617 | − | 0.0538090i | ||||
\(59\) | 3.30840 | + | 10.1822i | 0.430717 | + | 1.32561i | 0.897412 | + | 0.441193i | \(0.145445\pi\) |
−0.466695 | + | 0.884418i | \(0.654555\pi\) | |||||||
\(60\) | −5.13027 | − | 0.938032i | −0.662316 | − | 0.121099i | ||||
\(61\) | 3.54391 | − | 10.9070i | 0.453751 | − | 1.39650i | −0.418844 | − | 0.908058i | \(-0.637565\pi\) |
0.872595 | − | 0.488444i | \(-0.162435\pi\) | |||||||
\(62\) | −2.29998 | − | 7.07860i | −0.292097 | − | 0.898983i | ||||
\(63\) | 0.753978 | + | 2.32051i | 0.0949923 | + | 0.292356i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 9.73183 | + | 1.77939i | 1.20709 | + | 0.220706i | ||||
\(66\) | −0.621057 | − | 1.91142i | −0.0764468 | − | 0.235279i | ||||
\(67\) | −0.460717 | + | 0.334731i | −0.0562856 | + | 0.0408939i | −0.615572 | − | 0.788080i | \(-0.711075\pi\) |
0.559287 | + | 0.828974i | \(0.311075\pi\) | |||||||
\(68\) | −3.99067 | −0.483940 | ||||||||
\(69\) | −4.31005 | + | 3.13144i | −0.518869 | + | 0.376981i | ||||
\(70\) | 1.54312 | + | 1.61826i | 0.184438 | + | 0.193420i | ||||
\(71\) | 5.14835 | + | 3.74049i | 0.610996 | + | 0.443915i | 0.849765 | − | 0.527162i | \(-0.176744\pi\) |
−0.238769 | + | 0.971076i | \(0.576744\pi\) | |||||||
\(72\) | 1.97394 | + | 1.43415i | 0.232631 | + | 0.169016i | ||||
\(73\) | −3.28881 | + | 10.1219i | −0.384926 | + | 1.18468i | 0.551608 | + | 0.834104i | \(0.314015\pi\) |
−0.936534 | + | 0.350577i | \(0.885985\pi\) | |||||||
\(74\) | 8.58751 | 0.998277 | ||||||||
\(75\) | 0.554080 | − | 11.6487i | 0.0639796 | − | 1.34507i | ||||
\(76\) | 1.38390 | 0.158744 | ||||||||
\(77\) | −0.266278 | + | 0.819519i | −0.0303452 | + | 0.0933928i | ||||
\(78\) | −8.34842 | − | 6.06548i | −0.945273 | − | 0.686781i | ||||
\(79\) | −10.2363 | − | 7.43709i | −1.15167 | − | 0.836738i | −0.162969 | − | 0.986631i | \(-0.552107\pi\) |
−0.988702 | + | 0.149893i | \(0.952107\pi\) | |||||||
\(80\) | 2.19960 | + | 0.402181i | 0.245923 | + | 0.0449651i | ||||
\(81\) | 8.38671 | − | 6.09330i | 0.931857 | − | 0.677033i | ||||
\(82\) | 0.353737 | 0.0390637 | ||||||||
\(83\) | 11.0446 | − | 8.02434i | 1.21230 | − | 0.880786i | 0.216860 | − | 0.976203i | \(-0.430418\pi\) |
0.995437 | + | 0.0954169i | \(0.0304184\pi\) | |||||||
\(84\) | −0.720740 | − | 2.21821i | −0.0786392 | − | 0.242027i | ||||
\(85\) | −1.18610 | − | 8.84423i | −0.128651 | − | 0.959291i | ||||
\(86\) | 2.05013 | − | 6.30965i | 0.221071 | − | 0.680388i | ||||
\(87\) | −0.502492 | − | 1.54651i | −0.0538728 | − | 0.165803i | ||||
\(88\) | 0.266278 | + | 0.819519i | 0.0283853 | + | 0.0873610i | ||||
\(89\) | 3.71234 | − | 11.4254i | 0.393507 | − | 1.21109i | −0.536611 | − | 0.843830i | \(-0.680296\pi\) |
0.930118 | − | 0.367260i | \(-0.119704\pi\) | |||||||
\(90\) | −2.59171 | + | 4.80095i | −0.273191 | + | 0.506065i | ||||
\(91\) | 1.36720 | + | 4.20782i | 0.143322 | + | 0.441099i | ||||
\(92\) | 1.84793 | − | 1.34260i | 0.192660 | − | 0.139976i | ||||
\(93\) | −17.3595 | −1.80010 | ||||||||
\(94\) | 4.27541 | − | 3.10627i | 0.440975 | − | 0.320387i | ||||
\(95\) | 0.411320 | + | 3.06703i | 0.0422005 | + | 0.314671i | ||||
\(96\) | −1.88692 | − | 1.37093i | −0.192583 | − | 0.139920i | ||||
\(97\) | −11.2145 | − | 8.14780i | −1.13866 | − | 0.827284i | −0.151726 | − | 0.988423i | \(-0.548483\pi\) |
−0.986932 | + | 0.161139i | \(0.948483\pi\) | |||||||
\(98\) | −0.309017 | + | 0.951057i | −0.0312154 | + | 0.0960712i | ||||
\(99\) | −2.10247 | −0.211306 | ||||||||
\(100\) | −0.237562 | + | 4.99435i | −0.0237562 | + | 0.499435i | ||||
\(101\) | −19.4355 | −1.93390 | −0.966952 | − | 0.254958i | \(-0.917939\pi\) | ||||
−0.966952 | + | 0.254958i | \(0.917939\pi\) | |||||||
\(102\) | −2.87624 | + | 8.85215i | −0.284790 | + | 0.876493i | ||||
\(103\) | −7.08993 | − | 5.15114i | −0.698592 | − | 0.507557i | 0.180881 | − | 0.983505i | \(-0.442105\pi\) |
−0.879473 | + | 0.475948i | \(0.842105\pi\) | |||||||
\(104\) | 3.57938 | + | 2.60057i | 0.350987 | + | 0.255007i | ||||
\(105\) | 4.70184 | − | 2.25662i | 0.458853 | − | 0.220223i | ||||
\(106\) | 0.878059 | − | 0.637947i | 0.0852846 | − | 0.0619629i | ||||
\(107\) | 5.68246 | 0.549344 | 0.274672 | − | 0.961538i | \(-0.411431\pi\) | ||||
0.274672 | + | 0.961538i | \(0.411431\pi\) | |||||||
\(108\) | −1.05682 | + | 0.767824i | −0.101693 | + | 0.0738839i | ||||
\(109\) | 5.33867 | + | 16.4307i | 0.511352 | + | 1.57378i | 0.789823 | + | 0.613335i | \(0.210172\pi\) |
−0.278471 | + | 0.960445i | \(0.589828\pi\) | |||||||
\(110\) | −1.73710 | + | 0.833708i | −0.165626 | + | 0.0794909i | ||||
\(111\) | 6.18936 | − | 19.0489i | 0.587468 | − | 1.80804i | ||||
\(112\) | 0.309017 | + | 0.951057i | 0.0291994 | + | 0.0898664i | ||||
\(113\) | −0.443906 | − | 1.36620i | −0.0417592 | − | 0.128521i | 0.928003 | − | 0.372572i | \(-0.121524\pi\) |
−0.969763 | + | 0.244050i | \(0.921524\pi\) | |||||||
\(114\) | 0.997432 | − | 3.06978i | 0.0934180 | − | 0.287511i | ||||
\(115\) | 3.52475 | + | 3.69639i | 0.328685 | + | 0.344690i | ||||
\(116\) | 0.215443 | + | 0.663066i | 0.0200034 | + | 0.0615641i | ||||
\(117\) | −8.73342 | + | 6.34520i | −0.807405 | + | 0.586614i | ||||
\(118\) | −10.7062 | −0.985587 | ||||||||
\(119\) | 3.22852 | − | 2.34566i | 0.295958 | − | 0.215026i | ||||
\(120\) | 2.47746 | − | 4.58931i | 0.226160 | − | 0.418945i | ||||
\(121\) | 8.29848 | + | 6.02920i | 0.754407 | + | 0.548109i | ||||
\(122\) | 9.27808 | + | 6.74092i | 0.839998 | + | 0.610294i | ||||
\(123\) | 0.254952 | − | 0.784663i | 0.0229883 | − | 0.0707506i | ||||
\(124\) | 7.44288 | 0.668390 | ||||||||
\(125\) | −11.1392 | + | 0.957922i | −0.996323 | + | 0.0856792i | ||||
\(126\) | −2.43992 | −0.217366 | ||||||||
\(127\) | −2.37638 | + | 7.31373i | −0.210869 | + | 0.648989i | 0.788552 | + | 0.614968i | \(0.210831\pi\) |
−0.999421 | + | 0.0340205i | \(0.989169\pi\) | |||||||
\(128\) | 0.809017 | + | 0.587785i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | −12.5185 | − | 9.09524i | −1.10220 | − | 0.800792i | ||||
\(130\) | −4.69960 | + | 8.70566i | −0.412182 | + | 0.763537i | ||||
\(131\) | 7.63850 | − | 5.54969i | 0.667379 | − | 0.484879i | −0.201768 | − | 0.979433i | \(-0.564669\pi\) |
0.869147 | + | 0.494554i | \(0.164669\pi\) | |||||||
\(132\) | 2.00978 | 0.174929 | ||||||||
\(133\) | −1.11960 | + | 0.813435i | −0.0970814 | + | 0.0705338i | ||||
\(134\) | −0.175978 | − | 0.541606i | −0.0152022 | − | 0.0467876i | ||||
\(135\) | −2.01578 | − | 2.11394i | −0.173491 | − | 0.181939i | ||||
\(136\) | 1.23318 | − | 3.79535i | 0.105745 | − | 0.325449i | ||||
\(137\) | 2.82009 | + | 8.67934i | 0.240937 | + | 0.741526i | 0.996278 | + | 0.0861953i | \(0.0274709\pi\) |
−0.755342 | + | 0.655331i | \(0.772529\pi\) | |||||||
\(138\) | −1.64629 | − | 5.06677i | −0.140142 | − | 0.431312i | ||||
\(139\) | −3.32056 | + | 10.2196i | −0.281647 | + | 0.866819i | 0.705737 | + | 0.708474i | \(0.250616\pi\) |
−0.987384 | + | 0.158345i | \(0.949384\pi\) | |||||||
\(140\) | −2.01591 | + | 0.967523i | −0.170376 | + | 0.0817706i | ||||
\(141\) | −3.80889 | − | 11.7226i | −0.320767 | − | 0.987218i | ||||
\(142\) | −5.14835 | + | 3.74049i | −0.432040 | + | 0.313895i | ||||
\(143\) | −3.81244 | −0.318812 | ||||||||
\(144\) | −1.97394 | + | 1.43415i | −0.164495 | + | 0.119513i | ||||
\(145\) | −1.40547 | + | 0.674546i | −0.116718 | + | 0.0560180i | ||||
\(146\) | −8.61022 | − | 6.25569i | −0.712587 | − | 0.517724i | ||||
\(147\) | 1.88692 | + | 1.37093i | 0.155631 | + | 0.113072i | ||||
\(148\) | −2.65369 | + | 8.16721i | −0.218132 | + | 0.671340i | ||||
\(149\) | 13.6171 | 1.11555 | 0.557776 | − | 0.829991i | \(-0.311655\pi\) | ||||
0.557776 | + | 0.829991i | \(0.311655\pi\) | |||||||
\(150\) | 10.9073 | + | 4.12659i | 0.890578 | + | 0.336935i | ||||
\(151\) | −3.21189 | −0.261380 | −0.130690 | − | 0.991423i | \(-0.541719\pi\) | ||||
−0.130690 | + | 0.991423i | \(0.541719\pi\) | |||||||
\(152\) | −0.427648 | + | 1.31617i | −0.0346869 | + | 0.106755i | ||||
\(153\) | 7.87734 | + | 5.72322i | 0.636845 | + | 0.462695i | ||||
\(154\) | −0.697124 | − | 0.506490i | −0.0561759 | − | 0.0408142i | ||||
\(155\) | 2.21216 | + | 16.4951i | 0.177685 | + | 1.32492i | ||||
\(156\) | 8.34842 | − | 6.06548i | 0.668409 | − | 0.485627i | ||||
\(157\) | −10.2808 | −0.820498 | −0.410249 | − | 0.911974i | \(-0.634558\pi\) | ||||
−0.410249 | + | 0.911974i | \(0.634558\pi\) | |||||||
\(158\) | 10.2363 | − | 7.43709i | 0.814355 | − | 0.591663i | ||||
\(159\) | −0.782249 | − | 2.40751i | −0.0620363 | − | 0.190928i | ||||
\(160\) | −1.06221 | + | 1.96767i | −0.0839751 | + | 0.155558i | ||||
\(161\) | −0.705847 | + | 2.17238i | −0.0556286 | + | 0.171207i | ||||
\(162\) | 3.20344 | + | 9.85917i | 0.251686 | + | 0.774609i | ||||
\(163\) | 1.05979 | + | 3.26171i | 0.0830095 | + | 0.255477i | 0.983944 | − | 0.178479i | \(-0.0571175\pi\) |
−0.900934 | + | 0.433956i | \(0.857117\pi\) | |||||||
\(164\) | −0.109311 | + | 0.336424i | −0.00853573 | + | 0.0262703i | ||||
\(165\) | 0.597344 | + | 4.45413i | 0.0465031 | + | 0.346754i | ||||
\(166\) | 4.21865 | + | 12.9837i | 0.327430 | + | 1.00773i | ||||
\(167\) | 16.8272 | − | 12.2257i | 1.30213 | − | 0.946052i | 0.302155 | − | 0.953259i | \(-0.402294\pi\) |
0.999974 | + | 0.00720650i | \(0.00229392\pi\) | |||||||
\(168\) | 2.33236 | 0.179946 | ||||||||
\(169\) | −5.31925 | + | 3.86466i | −0.409173 | + | 0.297282i | ||||
\(170\) | 8.77789 | + | 1.60497i | 0.673233 | + | 0.123096i | ||||
\(171\) | −2.73173 | − | 1.98472i | −0.208901 | − | 0.151775i | ||||
\(172\) | 5.36731 | + | 3.89958i | 0.409254 | + | 0.297340i | ||||
\(173\) | 0.415359 | − | 1.27834i | 0.0315792 | − | 0.0971907i | −0.934025 | − | 0.357209i | \(-0.883728\pi\) |
0.965604 | + | 0.260018i | \(0.0837285\pi\) | |||||||
\(174\) | 1.62610 | 0.123274 | ||||||||
\(175\) | −2.74342 | − | 4.18015i | −0.207383 | − | 0.315990i | ||||
\(176\) | −0.861693 | −0.0649525 | ||||||||
\(177\) | −7.71640 | + | 23.7486i | −0.580000 | + | 1.78506i | ||||
\(178\) | 9.71902 | + | 7.06128i | 0.728472 | + | 0.529266i | ||||
\(179\) | 18.9058 | + | 13.7359i | 1.41309 | + | 1.02667i | 0.992865 | + | 0.119245i | \(0.0380473\pi\) |
0.420221 | + | 0.907422i | \(0.361953\pi\) | |||||||
\(180\) | −3.76510 | − | 3.94844i | −0.280634 | − | 0.294300i | ||||
\(181\) | −15.1066 | + | 10.9756i | −1.12287 | + | 0.815810i | −0.984641 | − | 0.174591i | \(-0.944140\pi\) |
−0.138225 | + | 0.990401i | \(0.544140\pi\) | |||||||
\(182\) | −4.42436 | −0.327955 | ||||||||
\(183\) | 21.6399 | − | 15.7223i | 1.59966 | − | 1.16222i | ||||
\(184\) | 0.705847 | + | 2.17238i | 0.0520358 | + | 0.160150i | ||||
\(185\) | −18.8891 | − | 3.45373i | −1.38875 | − | 0.253923i | ||||
\(186\) | 5.36438 | − | 16.5099i | 0.393335 | − | 1.21056i | ||||
\(187\) | 1.06263 | + | 3.27043i | 0.0777069 | + | 0.239157i | ||||
\(188\) | 1.63306 | + | 5.02604i | 0.119103 | + | 0.366562i | ||||
\(189\) | 0.403669 | − | 1.24237i | 0.0293626 | − | 0.0903688i | ||||
\(190\) | −3.04403 | − | 0.556577i | −0.220837 | − | 0.0403784i | ||||
\(191\) | 7.81630 | + | 24.0561i | 0.565568 | + | 1.74064i | 0.666259 | + | 0.745721i | \(0.267895\pi\) |
−0.100691 | + | 0.994918i | \(0.532105\pi\) | |||||||
\(192\) | 1.88692 | − | 1.37093i | 0.136177 | − | 0.0989383i | ||||
\(193\) | 21.0222 | 1.51321 | 0.756606 | − | 0.653871i | \(-0.226856\pi\) | ||||
0.756606 | + | 0.653871i | \(0.226856\pi\) | |||||||
\(194\) | 11.2145 | − | 8.14780i | 0.805153 | − | 0.584978i | ||||
\(195\) | 15.9238 | + | 16.6992i | 1.14033 | + | 1.19586i | ||||
\(196\) | −0.809017 | − | 0.587785i | −0.0577869 | − | 0.0419847i | ||||
\(197\) | −15.7201 | − | 11.4213i | −1.12001 | − | 0.813735i | −0.135800 | − | 0.990736i | \(-0.543360\pi\) |
−0.984211 | + | 0.177001i | \(0.943360\pi\) | |||||||
\(198\) | 0.649697 | − | 1.99956i | 0.0461720 | − | 0.142103i | ||||
\(199\) | −9.01284 | −0.638904 | −0.319452 | − | 0.947603i | \(-0.603499\pi\) | ||||
−0.319452 | + | 0.947603i | \(0.603499\pi\) | |||||||
\(200\) | −4.67650 | − | 1.76927i | −0.330679 | − | 0.125107i | ||||
\(201\) | −1.32823 | −0.0936861 | ||||||||
\(202\) | 6.00590 | − | 18.4843i | 0.422574 | − | 1.30055i | ||||
\(203\) | −0.564037 | − | 0.409797i | −0.0395877 | − | 0.0287621i | ||||
\(204\) | −7.53008 | − | 5.47093i | −0.527211 | − | 0.383041i | ||||
\(205\) | −0.778080 | − | 0.142266i | −0.0543435 | − | 0.00993629i | ||||
\(206\) | 7.08993 | − | 5.15114i | 0.493979 | − | 0.358897i | ||||
\(207\) | −5.57320 | −0.387364 | ||||||||
\(208\) | −3.57938 | + | 2.60057i | −0.248185 | + | 0.180317i | ||||
\(209\) | −0.368501 | − | 1.13413i | −0.0254898 | − | 0.0784495i | ||||
\(210\) | 0.693221 | + | 5.16905i | 0.0478368 | + | 0.356698i | ||||
\(211\) | −5.95165 | + | 18.3173i | −0.409728 | + | 1.26101i | 0.507154 | + | 0.861856i | \(0.330698\pi\) |
−0.916882 | + | 0.399158i | \(0.869302\pi\) | |||||||
\(212\) | 0.335389 | + | 1.03222i | 0.0230346 | + | 0.0708932i | ||||
\(213\) | 4.58658 | + | 14.1160i | 0.314267 | + | 0.967215i | ||||
\(214\) | −1.75598 | + | 5.40434i | −0.120036 | + | 0.369433i | ||||
\(215\) | −7.04709 | + | 13.0542i | −0.480608 | + | 0.890290i | ||||
\(216\) | −0.403669 | − | 1.24237i | −0.0274662 | − | 0.0845323i | ||||
\(217\) | −6.02141 | + | 4.37481i | −0.408760 | + | 0.296982i | ||||
\(218\) | −17.2763 | −1.17010 | ||||||||
\(219\) | −20.0822 | + | 14.5905i | −1.35703 | + | 0.985938i | ||||
\(220\) | −0.256111 | − | 1.90971i | −0.0172670 | − | 0.128752i | ||||
\(221\) | 14.2841 | + | 10.3780i | 0.960855 | + | 0.698102i | ||||
\(222\) | 16.2040 | + | 11.7729i | 1.08754 | + | 0.790143i | ||||
\(223\) | −1.88817 | + | 5.81117i | −0.126441 | + | 0.389145i | −0.994161 | − | 0.107908i | \(-0.965585\pi\) |
0.867720 | + | 0.497053i | \(0.165585\pi\) | |||||||
\(224\) | −1.00000 | −0.0668153 | ||||||||
\(225\) | 7.63159 | − | 9.51785i | 0.508773 | − | 0.634524i | ||||
\(226\) | 1.43651 | 0.0955552 | ||||||||
\(227\) | 2.02463 | − | 6.23117i | 0.134379 | − | 0.413577i | −0.861114 | − | 0.508413i | \(-0.830233\pi\) |
0.995493 | + | 0.0948355i | \(0.0302325\pi\) | |||||||
\(228\) | 2.61131 | + | 1.89723i | 0.172938 | + | 0.125647i | ||||
\(229\) | −18.4372 | − | 13.3954i | −1.21837 | − | 0.885195i | −0.222403 | − | 0.974955i | \(-0.571390\pi\) |
−0.995963 | + | 0.0897600i | \(0.971390\pi\) | |||||||
\(230\) | −4.60469 | + | 2.20999i | −0.303624 | + | 0.145722i | ||||
\(231\) | −1.62595 | + | 1.18132i | −0.106979 | + | 0.0777252i | ||||
\(232\) | −0.697188 | −0.0457727 | ||||||||
\(233\) | −6.66411 | + | 4.84176i | −0.436580 | + | 0.317194i | −0.784275 | − | 0.620414i | \(-0.786965\pi\) |
0.347694 | + | 0.937608i | \(0.386965\pi\) | |||||||
\(234\) | −3.33587 | − | 10.2668i | −0.218073 | − | 0.671158i | ||||
\(235\) | −10.6535 | + | 5.11306i | −0.694956 | + | 0.333540i | ||||
\(236\) | 3.30840 | − | 10.1822i | 0.215359 | − | 0.662806i | ||||
\(237\) | −9.11934 | − | 28.0664i | −0.592365 | − | 1.82311i | ||||
\(238\) | 1.23318 | + | 3.79535i | 0.0799355 | + | 0.246016i | ||||
\(239\) | −0.326868 | + | 1.00600i | −0.0211433 | + | 0.0650724i | −0.961071 | − | 0.276300i | \(-0.910892\pi\) |
0.939928 | + | 0.341372i | \(0.110892\pi\) | |||||||
\(240\) | 3.59912 | + | 3.77438i | 0.232322 | + | 0.243635i | ||||
\(241\) | −3.14926 | − | 9.69241i | −0.202861 | − | 0.624343i | −0.999794 | − | 0.0202756i | \(-0.993546\pi\) |
0.796933 | − | 0.604068i | \(-0.206454\pi\) | |||||||
\(242\) | −8.29848 | + | 6.02920i | −0.533447 | + | 0.387572i | ||||
\(243\) | 20.2597 | 1.29966 | ||||||||
\(244\) | −9.27808 | + | 6.74092i | −0.593968 | + | 0.431543i | ||||
\(245\) | 1.06221 | − | 1.96767i | 0.0678622 | − | 0.125710i | ||||
\(246\) | 0.667474 | + | 0.484948i | 0.0425566 | + | 0.0309192i | ||||
\(247\) | −4.95350 | − | 3.59893i | −0.315184 | − | 0.228994i | ||||
\(248\) | −2.29998 | + | 7.07860i | −0.146049 | + | 0.449491i | ||||
\(249\) | 31.8410 | 2.01784 | ||||||||
\(250\) | 2.53117 | − | 10.8900i | 0.160085 | − | 0.688747i | ||||
\(251\) | −15.4513 | −0.975277 | −0.487638 | − | 0.873046i | \(-0.662142\pi\) | ||||
−0.487638 | + | 0.873046i | \(0.662142\pi\) | |||||||
\(252\) | 0.753978 | − | 2.32051i | 0.0474962 | − | 0.146178i | ||||
\(253\) | −1.59235 | − | 1.15691i | −0.100110 | − | 0.0727343i | ||||
\(254\) | −6.22143 | − | 4.52013i | −0.390367 | − | 0.283618i | ||||
\(255\) | 9.88674 | − | 18.3144i | 0.619132 | − | 1.14689i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −30.1014 | −1.87767 | −0.938836 | − | 0.344365i | \(-0.888094\pi\) | ||||
−0.938836 | + | 0.344365i | \(0.888094\pi\) | |||||||
\(258\) | 12.5185 | − | 9.09524i | 0.779370 | − | 0.566245i | ||||
\(259\) | −2.65369 | − | 8.16721i | −0.164892 | − | 0.507485i | ||||
\(260\) | −6.82732 | − | 7.15978i | −0.423412 | − | 0.444031i | ||||
\(261\) | 0.525665 | − | 1.61783i | 0.0325378 | − | 0.100141i | ||||
\(262\) | 2.91765 | + | 8.97959i | 0.180253 | + | 0.554761i | ||||
\(263\) | −6.93879 | − | 21.3554i | −0.427864 | − | 1.31683i | −0.900225 | − | 0.435426i | \(-0.856598\pi\) |
0.472360 | − | 0.881406i | \(-0.343402\pi\) | |||||||
\(264\) | −0.621057 | + | 1.91142i | −0.0382234 | + | 0.117640i | ||||
\(265\) | −2.18795 | + | 1.05009i | −0.134405 | + | 0.0645066i | ||||
\(266\) | −0.427648 | − | 1.31617i | −0.0262208 | − | 0.0806993i | ||||
\(267\) | 22.6683 | − | 16.4695i | 1.38728 | − | 1.00792i | ||||
\(268\) | 0.569478 | 0.0347864 | ||||||||
\(269\) | 13.6544 | − | 9.92050i | 0.832523 | − | 0.604864i | −0.0877488 | − | 0.996143i | \(-0.527967\pi\) |
0.920272 | + | 0.391279i | \(0.127967\pi\) | |||||||
\(270\) | 2.63339 | − | 1.26388i | 0.160263 | − | 0.0769171i | ||||
\(271\) | 13.0658 | + | 9.49283i | 0.793688 | + | 0.576648i | 0.909056 | − | 0.416675i | \(-0.136805\pi\) |
−0.115368 | + | 0.993323i | \(0.536805\pi\) | |||||||
\(272\) | 3.22852 | + | 2.34566i | 0.195758 | + | 0.142226i | ||||
\(273\) | −3.18881 | + | 9.81416i | −0.192996 | + | 0.593980i | ||||
\(274\) | −9.12600 | −0.551322 | ||||||||
\(275\) | 4.15622 | − | 1.13520i | 0.250630 | − | 0.0684551i | ||||
\(276\) | 5.32752 | 0.320679 | ||||||||
\(277\) | 4.39717 | − | 13.5331i | 0.264200 | − | 0.813124i | −0.727677 | − | 0.685920i | \(-0.759400\pi\) |
0.991877 | − | 0.127204i | \(-0.0406002\pi\) | |||||||
\(278\) | −8.69335 | − | 6.31609i | −0.521392 | − | 0.378814i | ||||
\(279\) | −14.6918 | − | 10.6742i | −0.879575 | − | 0.639048i | ||||
\(280\) | −0.297218 | − | 2.21623i | −0.0177622 | − | 0.132445i | ||||
\(281\) | −7.64997 | + | 5.55803i | −0.456359 | + | 0.331564i | −0.792101 | − | 0.610390i | \(-0.791013\pi\) |
0.335743 | + | 0.941954i | \(0.391013\pi\) | |||||||
\(282\) | 12.3258 | 0.733993 | ||||||||
\(283\) | 18.8982 | − | 13.7304i | 1.12338 | − | 0.816185i | 0.138664 | − | 0.990339i | \(-0.455719\pi\) |
0.984718 | + | 0.174154i | \(0.0557191\pi\) | |||||||
\(284\) | −1.96649 | − | 6.05224i | −0.116690 | − | 0.359135i | ||||
\(285\) | −3.42856 | + | 6.35115i | −0.203090 | + | 0.376209i | ||||
\(286\) | 1.17811 | − | 3.62584i | 0.0696630 | − | 0.214401i | ||||
\(287\) | −0.109311 | − | 0.336424i | −0.00645240 | − | 0.0198585i | ||||
\(288\) | −0.753978 | − | 2.32051i | −0.0444286 | − | 0.136737i | ||||
\(289\) | −0.332055 | + | 1.02196i | −0.0195327 | + | 0.0601154i | ||||
\(290\) | −0.207217 | − | 1.54513i | −0.0121682 | − | 0.0907330i | ||||
\(291\) | −9.99080 | − | 30.7485i | −0.585671 | − | 1.80251i | ||||
\(292\) | 8.61022 | − | 6.25569i | 0.503875 | − | 0.366086i | ||||
\(293\) | 24.0320 | 1.40396 | 0.701981 | − | 0.712195i | \(-0.252299\pi\) | ||||
0.701981 | + | 0.712195i | \(0.252299\pi\) | |||||||
\(294\) | −1.88692 | + | 1.37093i | −0.110048 | + | 0.0799542i | ||||
\(295\) | 23.5494 | + | 4.30583i | 1.37110 | + | 0.250695i | ||||
\(296\) | −6.94744 | − | 5.04761i | −0.403812 | − | 0.293386i | ||||
\(297\) | 0.910654 | + | 0.661629i | 0.0528415 | + | 0.0383916i | ||||
\(298\) | −4.20790 | + | 12.9506i | −0.243757 | + | 0.750208i | ||||
\(299\) | −10.1060 | −0.584444 | ||||||||
\(300\) | −7.29517 | + | 9.09828i | −0.421187 | + | 0.525289i | ||||
\(301\) | −6.63436 | −0.382398 | ||||||||
\(302\) | 0.992530 | − | 3.05469i | 0.0571137 | − | 0.175778i | ||||
\(303\) | −36.6733 | − | 26.6447i | −2.10682 | − | 1.53070i | ||||
\(304\) | −1.11960 | − | 0.813435i | −0.0642133 | − | 0.0466537i | ||||
\(305\) | −17.6970 | − | 18.5588i | −1.01333 | − | 1.06267i | ||||
\(306\) | −7.87734 | + | 5.72322i | −0.450318 | + | 0.327175i | ||||
\(307\) | 26.7287 | 1.52549 | 0.762744 | − | 0.646700i | \(-0.223852\pi\) | ||||
0.762744 | + | 0.646700i | \(0.223852\pi\) | |||||||
\(308\) | 0.697124 | − | 0.506490i | 0.0397223 | − | 0.0288600i | ||||
\(309\) | −6.31631 | − | 19.4396i | −0.359322 | − | 1.10588i | ||||
\(310\) | −16.3714 | − | 2.99338i | −0.929831 | − | 0.170013i | ||||
\(311\) | −10.4684 | + | 32.2183i | −0.593607 | + | 1.82693i | −0.0320649 | + | 0.999486i | \(0.510208\pi\) |
−0.561542 | + | 0.827448i | \(0.689792\pi\) | |||||||
\(312\) | 3.18881 | + | 9.81416i | 0.180531 | + | 0.555617i | ||||
\(313\) | 4.59529 | + | 14.1428i | 0.259741 | + | 0.799401i | 0.992858 | + | 0.119299i | \(0.0380646\pi\) |
−0.733117 | + | 0.680102i | \(0.761935\pi\) | |||||||
\(314\) | 3.17694 | − | 9.77763i | 0.179285 | − | 0.551784i | ||||
\(315\) | 5.36686 | + | 0.981290i | 0.302388 | + | 0.0552894i | ||||
\(316\) | 3.90991 | + | 12.0335i | 0.219950 | + | 0.676935i | ||||
\(317\) | 9.06777 | − | 6.58812i | 0.509297 | − | 0.370026i | −0.303260 | − | 0.952908i | \(-0.598075\pi\) |
0.812557 | + | 0.582882i | \(0.198075\pi\) | |||||||
\(318\) | 2.53141 | 0.141954 | ||||||||
\(319\) | 0.486027 | − | 0.353119i | 0.0272123 | − | 0.0197709i | ||||
\(320\) | −1.54312 | − | 1.61826i | −0.0862630 | − | 0.0904637i | ||||
\(321\) | 10.7224 | + | 7.79025i | 0.598463 | + | 0.434809i | ||||
\(322\) | −1.84793 | − | 1.34260i | −0.102981 | − | 0.0748203i | ||||
\(323\) | −1.70660 | + | 5.25238i | −0.0949579 | + | 0.292251i | ||||
\(324\) | −10.3665 | −0.575919 | ||||||||
\(325\) | 13.8385 | − | 17.2589i | 0.767622 | − | 0.957352i | ||||
\(326\) | −3.42957 | −0.189946 | ||||||||
\(327\) | −12.4517 | + | 38.3225i | −0.688582 | + | 2.11924i | ||||
\(328\) | −0.286179 | − | 0.207921i | −0.0158016 | − | 0.0114805i | ||||
\(329\) | −4.27541 | − | 3.10627i | −0.235711 | − | 0.171254i | ||||
\(330\) | −4.42072 | − | 0.808295i | −0.243353 | − | 0.0444952i | ||||
\(331\) | 1.08435 | − | 0.787823i | 0.0596010 | − | 0.0433027i | −0.557586 | − | 0.830119i | \(-0.688272\pi\) |
0.617187 | + | 0.786817i | \(0.288272\pi\) | |||||||
\(332\) | −13.6518 | −0.749241 | ||||||||
\(333\) | 16.9512 | − | 12.3158i | 0.928921 | − | 0.674901i | ||||
\(334\) | 6.42743 | + | 19.7816i | 0.351693 | + | 1.08240i | ||||
\(335\) | 0.169259 | + | 1.26209i | 0.00924762 | + | 0.0689555i | ||||
\(336\) | −0.720740 | + | 2.21821i | −0.0393196 | + | 0.121013i | ||||
\(337\) | 0.402868 | + | 1.23990i | 0.0219456 | + | 0.0675417i | 0.961430 | − | 0.275051i | \(-0.0886948\pi\) |
−0.939484 | + | 0.342593i | \(0.888695\pi\) | |||||||
\(338\) | −2.03177 | − | 6.25315i | −0.110514 | − | 0.340127i | ||||
\(339\) | 1.03535 | − | 3.18648i | 0.0562325 | − | 0.173066i | ||||
\(340\) | −4.23893 | + | 7.85230i | −0.229888 | + | 0.425851i | ||||
\(341\) | −1.98187 | − | 6.09958i | −0.107324 | − | 0.330311i | ||||
\(342\) | 2.73173 | − | 1.98472i | 0.147715 | − | 0.107321i | ||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | −5.36731 | + | 3.89958i | −0.289386 | + | 0.210251i | ||||
\(345\) | 1.58343 | + | 11.8070i | 0.0852493 | + | 0.635667i | ||||
\(346\) | 1.08742 | + | 0.790060i | 0.0584603 | + | 0.0424739i | ||||
\(347\) | 2.73310 | + | 1.98571i | 0.146720 | + | 0.106599i | 0.658724 | − | 0.752385i | \(-0.271097\pi\) |
−0.512004 | + | 0.858983i | \(0.671097\pi\) | |||||||
\(348\) | −0.502492 | + | 1.54651i | −0.0269364 | + | 0.0829017i | ||||
\(349\) | −6.96709 | −0.372940 | −0.186470 | − | 0.982461i | \(-0.559705\pi\) | ||||
−0.186470 | + | 0.982461i | \(0.559705\pi\) | |||||||
\(350\) | 4.82332 | − | 1.31741i | 0.257817 | − | 0.0704183i | ||||
\(351\) | 5.77954 | 0.308489 | ||||||||
\(352\) | 0.266278 | − | 0.819519i | 0.0141927 | − | 0.0436805i | ||||
\(353\) | 12.6164 | + | 9.16636i | 0.671504 | + | 0.487876i | 0.870528 | − | 0.492118i | \(-0.163777\pi\) |
−0.199024 | + | 0.979995i | \(0.563777\pi\) | |||||||
\(354\) | −20.2018 | − | 14.6775i | −1.07371 | − | 0.780098i | ||||
\(355\) | 12.8287 | − | 6.15703i | 0.680875 | − | 0.326781i | ||||
\(356\) | −9.71902 | + | 7.06128i | −0.515107 | + | 0.374247i | ||||
\(357\) | 9.30770 | 0.492616 | ||||||||
\(358\) | −18.9058 | + | 13.7359i | −0.999202 | + | 0.725963i | ||||
\(359\) | 3.74651 | + | 11.5306i | 0.197733 | + | 0.608560i | 0.999934 | + | 0.0115055i | \(0.00366238\pi\) |
−0.802201 | + | 0.597054i | \(0.796338\pi\) | |||||||
\(360\) | 4.91867 | − | 2.36068i | 0.259237 | − | 0.124419i | ||||
\(361\) | −5.27950 | + | 16.2486i | −0.277868 | + | 0.855191i | ||||
\(362\) | −5.77022 | − | 17.7589i | −0.303276 | − | 0.933387i | ||||
\(363\) | 7.39298 | + | 22.7533i | 0.388031 | + | 1.19424i | ||||
\(364\) | 1.36720 | − | 4.20782i | 0.0716609 | − | 0.220549i | ||||
\(365\) | 16.4231 | + | 17.2229i | 0.859626 | + | 0.901487i | ||||
\(366\) | 8.26569 | + | 25.4392i | 0.432055 | + | 1.32973i | ||||
\(367\) | 12.5454 | − | 9.11477i | 0.654865 | − | 0.475787i | −0.210060 | − | 0.977688i | \(-0.567366\pi\) |
0.864925 | + | 0.501901i | \(0.167366\pi\) | |||||||
\(368\) | −2.28417 | −0.119071 | ||||||||
\(369\) | 0.698255 | − | 0.507312i | 0.0363497 | − | 0.0264096i | ||||
\(370\) | 9.12174 | − | 16.8973i | 0.474217 | − | 0.878451i | ||||
\(371\) | −0.878059 | − | 0.637947i | −0.0455865 | − | 0.0331206i | ||||
\(372\) | 14.0441 | + | 10.2037i | 0.728154 | + | 0.529035i | ||||
\(373\) | 8.88591 | − | 27.3480i | 0.460095 | − | 1.41603i | −0.404953 | − | 0.914338i | \(-0.632712\pi\) |
0.865048 | − | 0.501689i | \(-0.167288\pi\) | |||||||
\(374\) | −3.43873 | −0.177813 | ||||||||
\(375\) | −22.3321 | − | 13.4636i | −1.15322 | − | 0.695256i | ||||
\(376\) | −5.28470 | −0.272537 | ||||||||
\(377\) | 0.953197 | − | 2.93364i | 0.0490922 | − | 0.151090i | ||||
\(378\) | 1.05682 | + | 0.767824i | 0.0543569 | + | 0.0394926i | ||||
\(379\) | −11.2974 | − | 8.20807i | −0.580310 | − | 0.421620i | 0.258526 | − | 0.966004i | \(-0.416763\pi\) |
−0.838836 | + | 0.544384i | \(0.816763\pi\) | |||||||
\(380\) | 1.46999 | − | 2.72305i | 0.0754090 | − | 0.139690i | ||||
\(381\) | −14.5106 | + | 10.5426i | −0.743403 | + | 0.540114i | ||||
\(382\) | −25.2941 | −1.29416 | ||||||||
\(383\) | 7.14294 | − | 5.18965i | 0.364987 | − | 0.265179i | −0.390142 | − | 0.920755i | \(-0.627574\pi\) |
0.755129 | + | 0.655576i | \(0.227574\pi\) | |||||||
\(384\) | 0.720740 | + | 2.21821i | 0.0367801 | + | 0.113198i | ||||
\(385\) | 1.32970 | + | 1.39445i | 0.0677676 | + | 0.0710676i | ||||
\(386\) | −6.49622 | + | 19.9933i | −0.330649 | + | 1.01763i | ||||
\(387\) | −5.00216 | − | 15.3951i | −0.254274 | − | 0.782576i | ||||
\(388\) | 4.28355 | + | 13.1834i | 0.217464 | + | 0.669286i | ||||
\(389\) | 6.08115 | − | 18.7159i | 0.308327 | − | 0.948932i | −0.670088 | − | 0.742282i | \(-0.733744\pi\) |
0.978415 | − | 0.206651i | \(-0.0662563\pi\) | |||||||
\(390\) | −20.8026 | + | 9.98408i | −1.05338 | + | 0.505564i | ||||
\(391\) | 2.81680 | + | 8.66923i | 0.142452 | + | 0.438422i | ||||
\(392\) | 0.809017 | − | 0.587785i | 0.0408615 | − | 0.0296876i | ||||
\(393\) | 22.0215 | 1.11084 | ||||||||
\(394\) | 15.7201 | − | 11.4213i | 0.791967 | − | 0.575398i | ||||
\(395\) | −25.5068 | + | 12.2418i | −1.28339 | + | 0.615952i | ||||
\(396\) | 1.70093 | + | 1.23580i | 0.0854749 | + | 0.0621012i | ||||
\(397\) | 21.6755 | + | 15.7482i | 1.08786 | + | 0.790380i | 0.979037 | − | 0.203681i | \(-0.0652905\pi\) |
0.108827 | + | 0.994061i | \(0.465291\pi\) | |||||||
\(398\) | 2.78512 | − | 8.57172i | 0.139606 | − | 0.429662i | ||||
\(399\) | −3.22776 | −0.161590 | ||||||||
\(400\) | 3.12780 | − | 3.90088i | 0.156390 | − | 0.195044i | ||||
\(401\) | 14.4476 | 0.721481 | 0.360740 | − | 0.932666i | \(-0.382524\pi\) | ||||
0.360740 | + | 0.932666i | \(0.382524\pi\) | |||||||
\(402\) | 0.410446 | − | 1.26322i | 0.0204712 | − | 0.0630038i | ||||
\(403\) | −26.6409 | − | 19.3557i | −1.32708 | − | 0.964178i | ||||
\(404\) | 15.7236 | + | 11.4239i | 0.782281 | + | 0.568360i | ||||
\(405\) | −3.08112 | − | 22.9746i | −0.153102 | − | 1.14162i | ||||
\(406\) | 0.564037 | − | 0.409797i | 0.0279927 | − | 0.0203379i | ||||
\(407\) | 7.39979 | 0.366794 | ||||||||
\(408\) | 7.53008 | − | 5.47093i | 0.372795 | − | 0.270851i | ||||
\(409\) | 4.26071 | + | 13.1131i | 0.210678 | + | 0.648401i | 0.999432 | + | 0.0336921i | \(0.0107266\pi\) |
−0.788754 | + | 0.614709i | \(0.789273\pi\) | |||||||
\(410\) | 0.375743 | − | 0.696036i | 0.0185566 | − | 0.0343748i | ||||
\(411\) | −6.57748 | + | 20.2434i | −0.324443 | + | 0.998533i | ||||
\(412\) | 2.70811 | + | 8.33472i | 0.133419 | + | 0.410622i | ||||
\(413\) | 3.30840 | + | 10.1822i | 0.162796 | + | 0.501034i | ||||
\(414\) | 1.72221 | − | 5.30043i | 0.0846422 | − | 0.260502i | ||||
\(415\) | −4.05757 | − | 30.2555i | −0.199178 | − | 1.48519i | ||||
\(416\) | −1.36720 | − | 4.20782i | −0.0670326 | − | 0.206305i | ||||
\(417\) | −20.2761 | + | 14.7314i | −0.992923 | + | 0.721401i | ||||
\(418\) | 1.19250 | 0.0583269 | ||||||||
\(419\) | 9.29073 | − | 6.75011i | 0.453882 | − | 0.329764i | −0.337245 | − | 0.941417i | \(-0.609495\pi\) |
0.791126 | + | 0.611653i | \(0.209495\pi\) | |||||||
\(420\) | −5.13027 | − | 0.938032i | −0.250332 | − | 0.0457713i | ||||
\(421\) | −6.39505 | − | 4.64627i | −0.311676 | − | 0.226446i | 0.420940 | − | 0.907089i | \(-0.361700\pi\) |
−0.732615 | + | 0.680643i | \(0.761700\pi\) | |||||||
\(422\) | −15.5816 | − | 11.3207i | −0.758501 | − | 0.551083i | ||||
\(423\) | 3.98454 | − | 12.2632i | 0.193735 | − | 0.596256i | ||||
\(424\) | −1.08534 | −0.0527088 | ||||||||
\(425\) | −18.6624 | − | 7.06059i | −0.905258 | − | 0.342489i | ||||
\(426\) | −14.8425 | −0.719121 | ||||||||
\(427\) | 3.54391 | − | 10.9070i | 0.171502 | − | 0.527828i | ||||
\(428\) | −4.59720 | − | 3.34006i | −0.222214 | − | 0.161448i | ||||
\(429\) | −7.19378 | − | 5.22658i | −0.347319 | − | 0.252342i | ||||
\(430\) | −10.2376 | − | 10.7362i | −0.493702 | − | 0.517743i | ||||
\(431\) | −14.7685 | + | 10.7300i | −0.711374 | + | 0.516844i | −0.883617 | − | 0.468211i | \(-0.844899\pi\) |
0.172242 | + | 0.985055i | \(0.444899\pi\) | |||||||
\(432\) | 1.30630 | 0.0628494 | ||||||||
\(433\) | −9.56606 | + | 6.95015i | −0.459715 | + | 0.334003i | −0.793420 | − | 0.608675i | \(-0.791701\pi\) |
0.333704 | + | 0.942678i | \(0.391701\pi\) | |||||||
\(434\) | −2.29998 | − | 7.07860i | −0.110402 | − | 0.339783i | ||||
\(435\) | −3.57677 | − | 0.653985i | −0.171493 | − | 0.0313562i | ||||
\(436\) | 5.33867 | − | 16.4307i | 0.255676 | − | 0.786890i | ||||
\(437\) | −0.976822 | − | 3.00635i | −0.0467277 | − | 0.143813i | ||||
\(438\) | −7.67070 | − | 23.6080i | −0.366520 | − | 1.12803i | ||||
\(439\) | 5.82411 | − | 17.9248i | 0.277970 | − | 0.855503i | −0.710449 | − | 0.703749i | \(-0.751508\pi\) |
0.988418 | − | 0.151754i | \(-0.0484921\pi\) | |||||||
\(440\) | 1.89538 | + | 0.346556i | 0.0903588 | + | 0.0165214i | ||||
\(441\) | 0.753978 | + | 2.32051i | 0.0359037 | + | 0.110500i | ||||
\(442\) | −14.2841 | + | 10.3780i | −0.679427 | + | 0.493632i | ||||
\(443\) | −3.54679 | −0.168513 | −0.0842565 | − | 0.996444i | \(-0.526852\pi\) | ||||
−0.0842565 | + | 0.996444i | \(0.526852\pi\) | |||||||
\(444\) | −16.2040 | + | 11.7729i | −0.769006 | + | 0.558716i | ||||
\(445\) | −18.5381 | − | 19.4408i | −0.878789 | − | 0.921583i | ||||
\(446\) | −4.94328 | − | 3.59150i | −0.234071 | − | 0.170063i | ||||
\(447\) | 25.6943 | + | 18.6680i | 1.21530 | + | 0.882967i | ||||
\(448\) | 0.309017 | − | 0.951057i | 0.0145997 | − | 0.0449332i | ||||
\(449\) | 20.0062 | 0.944153 | 0.472076 | − | 0.881558i | \(-0.343505\pi\) | ||||
0.472076 | + | 0.881558i | \(0.343505\pi\) | |||||||
\(450\) | 6.69373 | + | 10.1993i | 0.315545 | + | 0.480797i | ||||
\(451\) | 0.304812 | 0.0143531 | ||||||||
\(452\) | −0.443906 | + | 1.36620i | −0.0208796 | + | 0.0642607i | ||||
\(453\) | −6.06059 | − | 4.40328i | −0.284752 | − | 0.206884i | ||||
\(454\) | 5.30055 | + | 3.85107i | 0.248767 | + | 0.180740i | ||||
\(455\) | 9.73183 | + | 1.77939i | 0.456235 | + | 0.0834191i | ||||
\(456\) | −2.61131 | + | 1.89723i | −0.122286 | + | 0.0888458i | ||||
\(457\) | 37.5506 | 1.75654 | 0.878272 | − | 0.478162i | \(-0.158697\pi\) | ||||
0.878272 | + | 0.478162i | \(0.158697\pi\) | |||||||
\(458\) | 18.4372 | − | 13.3954i | 0.861515 | − | 0.625927i | ||||
\(459\) | −1.61091 | − | 4.95787i | −0.0751909 | − | 0.231414i | ||||
\(460\) | −0.678897 | − | 5.06224i | −0.0316537 | − | 0.236028i | ||||
\(461\) | −1.90890 | + | 5.87500i | −0.0889064 | + | 0.273626i | −0.985618 | − | 0.168990i | \(-0.945949\pi\) |
0.896711 | + | 0.442616i | \(0.145949\pi\) | |||||||
\(462\) | −0.621057 | − | 1.91142i | −0.0288942 | − | 0.0889271i | ||||
\(463\) | 10.5727 | + | 32.5394i | 0.491355 | + | 1.51224i | 0.822561 | + | 0.568677i | \(0.192544\pi\) |
−0.331206 | + | 0.943558i | \(0.607456\pi\) | |||||||
\(464\) | 0.215443 | − | 0.663066i | 0.0100017 | − | 0.0307820i | ||||
\(465\) | −18.4395 | + | 34.1577i | −0.855109 | + | 1.58403i | ||||
\(466\) | −2.54546 | − | 7.83413i | −0.117916 | − | 0.362909i | ||||
\(467\) | −16.0604 | + | 11.6685i | −0.743184 | + | 0.539955i | −0.893707 | − | 0.448652i | \(-0.851904\pi\) |
0.150522 | + | 0.988607i | \(0.451904\pi\) | |||||||
\(468\) | 10.7951 | 0.499004 | ||||||||
\(469\) | −0.460717 | + | 0.334731i | −0.0212740 | + | 0.0154564i | ||||
\(470\) | −1.57071 | − | 11.7121i | −0.0724513 | − | 0.540238i | ||||
\(471\) | −19.3991 | − | 14.0943i | −0.893863 | − | 0.649429i | ||||
\(472\) | 8.66151 | + | 6.29295i | 0.398678 | + | 0.289657i | ||||
\(473\) | 1.76658 | − | 5.43698i | 0.0812276 | − | 0.249993i | ||||
\(474\) | 29.5108 | 1.35548 | ||||||||
\(475\) | 6.47181 | + | 2.44850i | 0.296947 | + | 0.112345i | ||||
\(476\) | −3.99067 | −0.182912 | ||||||||
\(477\) | 0.818323 | − | 2.51854i | 0.0374684 | − | 0.115316i | ||||
\(478\) | −0.855751 | − | 0.621739i | −0.0391411 | − | 0.0284377i | ||||
\(479\) | −2.99876 | − | 2.17873i | −0.137017 | − | 0.0995486i | 0.517166 | − | 0.855885i | \(-0.326987\pi\) |
−0.654182 | + | 0.756337i | \(0.726987\pi\) | |||||||
\(480\) | −4.70184 | + | 2.25662i | −0.214609 | + | 0.103000i | ||||
\(481\) | 30.7380 | − | 22.3324i | 1.40153 | − | 1.01827i | ||||
\(482\) | 10.1912 | 0.464197 | ||||||||
\(483\) | −4.31005 | + | 3.13144i | −0.196114 | + | 0.142485i | ||||
\(484\) | −3.16974 | − | 9.75545i | −0.144079 | − | 0.443429i | ||||
\(485\) | −27.9443 | + | 13.4117i | −1.26888 | + | 0.608993i | ||||
\(486\) | −6.26058 | + | 19.2681i | −0.283986 | + | 0.874018i | ||||
\(487\) | 12.0923 | + | 37.2161i | 0.547952 | + | 1.68642i | 0.713865 | + | 0.700284i | \(0.246943\pi\) |
−0.165912 | + | 0.986141i | \(0.553057\pi\) | |||||||
\(488\) | −3.54391 | − | 10.9070i | −0.160425 | − | 0.493738i | ||||
\(489\) | −2.47183 | + | 7.60750i | −0.111780 | + | 0.344023i | ||||
\(490\) | 1.54312 | + | 1.61826i | 0.0697111 | + | 0.0731057i | ||||
\(491\) | −3.45850 | − | 10.6442i | −0.156080 | − | 0.480365i | 0.842189 | − | 0.539183i | \(-0.181267\pi\) |
−0.998269 | + | 0.0588178i | \(0.981267\pi\) | |||||||
\(492\) | −0.667474 | + | 0.484948i | −0.0300920 | + | 0.0218632i | ||||
\(493\) | −2.78225 | −0.125306 | ||||||||
\(494\) | 4.95350 | − | 3.59893i | 0.222869 | − | 0.161924i | ||||
\(495\) | −2.23326 | + | 4.13695i | −0.100378 | + | 0.185942i | ||||
\(496\) | −6.02141 | − | 4.37481i | −0.270369 | − | 0.196435i | ||||
\(497\) | 5.14835 | + | 3.74049i | 0.230935 | + | 0.167784i | ||||
\(498\) | −9.83942 | + | 30.2826i | −0.440915 | + | 1.35700i | ||||
\(499\) | −3.49294 | −0.156365 | −0.0781827 | − | 0.996939i | \(-0.524912\pi\) | ||||
−0.0781827 | + | 0.996939i | \(0.524912\pi\) | |||||||
\(500\) | 9.57488 | + | 5.77250i | 0.428202 | + | 0.258154i | ||||
\(501\) | 48.5122 | 2.16737 | ||||||||
\(502\) | 4.77471 | − | 14.6951i | 0.213106 | − | 0.655872i | ||||
\(503\) | −29.7302 | − | 21.6003i | −1.32561 | − | 0.963109i | −0.999844 | − | 0.0176565i | \(-0.994379\pi\) |
−0.325761 | − | 0.945452i | \(-0.605621\pi\) | |||||||
\(504\) | 1.97394 | + | 1.43415i | 0.0879263 | + | 0.0638822i | ||||
\(505\) | −20.6446 | + | 38.2426i | −0.918673 | + | 1.70177i | ||||
\(506\) | 1.59235 | − | 1.15691i | 0.0707886 | − | 0.0514309i | ||||
\(507\) | −15.3352 | −0.681059 | ||||||||
\(508\) | 6.22143 | − | 4.52013i | 0.276031 | − | 0.200549i | ||||
\(509\) | 7.63948 | + | 23.5119i | 0.338614 | + | 1.04215i | 0.964914 | + | 0.262565i | \(0.0845684\pi\) |
−0.626300 | + | 0.779582i | \(0.715432\pi\) | |||||||
\(510\) | 14.3629 | + | 15.0623i | 0.636000 | + | 0.666971i | ||||
\(511\) | −3.28881 | + | 10.1219i | −0.145488 | + | 0.447767i | ||||
\(512\) | −0.309017 | − | 0.951057i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | 0.558637 | + | 1.71931i | 0.0246644 | + | 0.0759094i | ||||
\(514\) | 9.30184 | − | 28.6281i | 0.410286 | − | 1.26273i | ||||
\(515\) | −17.6667 | + | 8.47902i | −0.778489 | + | 0.373630i | ||||
\(516\) | 4.78165 | + | 14.7164i | 0.210501 | + | 0.647854i | ||||
\(517\) | 3.68409 | − | 2.67665i | 0.162026 | − | 0.117719i | ||||
\(518\) | 8.58751 | 0.377313 | ||||||||
\(519\) | 2.53627 | − | 1.84271i | 0.111330 | − | 0.0808859i | ||||
\(520\) | 8.91912 | − | 4.28067i | 0.391129 | − | 0.187720i | ||||
\(521\) | 11.3138 | + | 8.21994i | 0.495666 | + | 0.360122i | 0.807359 | − | 0.590061i | \(-0.200896\pi\) |
−0.311693 | + | 0.950183i | \(0.600896\pi\) | |||||||
\(522\) | 1.37621 | + | 0.999874i | 0.0602350 | + | 0.0437633i | ||||
\(523\) | 7.85703 | − | 24.1815i | 0.343564 | − | 1.05738i | −0.618784 | − | 0.785561i | \(-0.712374\pi\) |
0.962348 | − | 0.271820i | \(-0.0876255\pi\) | |||||||
\(524\) | −9.44170 | −0.412463 | ||||||||
\(525\) | 0.554080 | − | 11.6487i | 0.0241820 | − | 0.508389i | ||||
\(526\) | 22.4544 | 0.979059 | ||||||||
\(527\) | −9.17844 | + | 28.2483i | −0.399819 | + | 1.23052i | ||||
\(528\) | −1.62595 | − | 1.18132i | −0.0707603 | − | 0.0514104i | ||||
\(529\) | 14.3864 | + | 10.4523i | 0.625496 | + | 0.454449i | ||||
\(530\) | −0.322583 | − | 2.40536i | −0.0140121 | − | 0.104482i | ||||
\(531\) | −21.1334 | + | 15.3543i | −0.917112 | + | 0.666321i | ||||
\(532\) | 1.38390 | 0.0599996 | ||||||||
\(533\) | 1.26616 | − | 0.919918i | 0.0548434 | − | 0.0398461i | ||||
\(534\) | 8.65852 | + | 26.6482i | 0.374691 | + | 1.15318i | ||||
\(535\) | 6.03597 | − | 11.1812i | 0.260958 | − | 0.483404i | ||||
\(536\) | −0.175978 | + | 0.541606i | −0.00760111 | + | 0.0233938i | ||||
\(537\) | 16.8429 | + | 51.8370i | 0.726823 | + | 2.23693i | ||||
\(538\) | 5.21552 | + | 16.0517i | 0.224857 | + | 0.692038i | ||||
\(539\) | −0.266278 | + | 0.819519i | −0.0114694 | + | 0.0352992i | ||||
\(540\) | 0.388256 | + | 2.89506i | 0.0167079 | + | 0.124584i | ||||
\(541\) | 1.44665 | + | 4.45233i | 0.0621964 | + | 0.191421i | 0.977326 | − | 0.211738i | \(-0.0679123\pi\) |
−0.915130 | + | 0.403159i | \(0.867912\pi\) | |||||||
\(542\) | −13.0658 | + | 9.49283i | −0.561222 | + | 0.407752i | ||||
\(543\) | −43.5518 | −1.86899 | ||||||||
\(544\) | −3.22852 | + | 2.34566i | −0.138422 | + | 0.100569i | ||||
\(545\) | 38.0010 | + | 6.94819i | 1.62778 | + | 0.297628i | ||||
\(546\) | −8.34842 | − | 6.06548i | −0.357280 | − | 0.259579i | ||||
\(547\) | 6.83925 | + | 4.96901i | 0.292425 | + | 0.212459i | 0.724319 | − | 0.689465i | \(-0.242154\pi\) |
−0.431893 | + | 0.901925i | \(0.642154\pi\) | |||||||
\(548\) | 2.82009 | − | 8.67934i | 0.120468 | − | 0.370763i | ||||
\(549\) | 27.9819 | 1.19424 | ||||||||
\(550\) | −0.204705 | + | 4.30360i | −0.00872865 | + | 0.183506i | ||||
\(551\) | 0.964838 | 0.0411035 | ||||||||
\(552\) | −1.64629 | + | 5.06677i | −0.0700709 | + | 0.215656i | ||||
\(553\) | −10.2363 | − | 7.43709i | −0.435291 | − | 0.316257i | ||||
\(554\) | 11.5119 | + | 8.36391i | 0.489095 | + | 0.355348i | ||||
\(555\) | −30.9075 | − | 32.4125i | −1.31195 | − | 1.37584i | ||||
\(556\) | 8.69335 | − | 6.31609i | 0.368680 | − | 0.267862i | ||||
\(557\) | 25.6015 | 1.08477 | 0.542386 | − | 0.840130i | \(-0.317521\pi\) | ||||
0.542386 | + | 0.840130i | \(0.317521\pi\) | |||||||
\(558\) | 14.6918 | − | 10.6742i | 0.621953 | − | 0.451875i | ||||
\(559\) | −9.07052 | − | 27.9162i | −0.383642 | − | 1.18073i | ||||
\(560\) | 2.19960 | + | 0.402181i | 0.0929502 | + | 0.0169952i | ||||
\(561\) | −2.47843 | + | 7.62783i | −0.104639 | + | 0.322047i | ||||
\(562\) | −2.92203 | − | 8.99307i | −0.123258 | − | 0.379350i | ||||
\(563\) | −3.04586 | − | 9.37420i | −0.128368 | − | 0.395076i | 0.866132 | − | 0.499816i | \(-0.166599\pi\) |
−0.994500 | + | 0.104740i | \(0.966599\pi\) | |||||||
\(564\) | −3.80889 | + | 11.7226i | −0.160383 | + | 0.493609i | ||||
\(565\) | −3.15975 | − | 0.577736i | −0.132932 | − | 0.0243055i | ||||
\(566\) | 7.21848 | + | 22.2162i | 0.303415 | + | 0.933816i | ||||
\(567\) | 8.38671 | − | 6.09330i | 0.352209 | − | 0.255895i | ||||
\(568\) | 6.36371 | 0.267015 | ||||||||
\(569\) | 10.1276 | − | 7.35812i | 0.424570 | − | 0.308468i | −0.354904 | − | 0.934903i | \(-0.615486\pi\) |
0.779474 | + | 0.626434i | \(0.215486\pi\) | |||||||
\(570\) | −4.98082 | − | 5.22337i | −0.208623 | − | 0.218783i | ||||
\(571\) | −18.7122 | − | 13.5952i | −0.783081 | − | 0.568942i | 0.122821 | − | 0.992429i | \(-0.460806\pi\) |
−0.905902 | + | 0.423487i | \(0.860806\pi\) | |||||||
\(572\) | 3.08433 | + | 2.24090i | 0.128962 | + | 0.0936965i | ||||
\(573\) | −18.2305 | + | 56.1076i | −0.761589 | + | 2.34393i | ||||
\(574\) | 0.353737 | 0.0147647 | ||||||||
\(575\) | 11.0173 | − | 3.00918i | 0.459453 | − | 0.125491i | ||||
\(576\) | 2.43992 | 0.101664 | ||||||||
\(577\) | 11.8204 | − | 36.3794i | 0.492089 | − | 1.51449i | −0.329356 | − | 0.944206i | \(-0.606832\pi\) |
0.821445 | − | 0.570288i | \(-0.193168\pi\) | |||||||
\(578\) | −0.869332 | − | 0.631607i | −0.0361595 | − | 0.0262714i | ||||
\(579\) | 39.6673 | + | 28.8200i | 1.64852 | + | 1.19772i | ||||
\(580\) | 1.53354 | + | 0.280396i | 0.0636767 | + | 0.0116428i | ||||
\(581\) | 11.0446 | − | 8.02434i | 0.458205 | − | 0.332906i | ||||
\(582\) | 32.3309 | 1.34016 | ||||||||
\(583\) | 0.756617 | − | 0.549714i | 0.0313359 | − | 0.0227668i | ||||
\(584\) | 3.28881 | + | 10.1219i | 0.136092 | + | 0.418848i | ||||
\(585\) | 3.20850 | + | 23.9244i | 0.132655 | + | 0.989152i | ||||
\(586\) | −7.42629 | + | 22.8558i | −0.306777 | + | 0.944163i | ||||
\(587\) | 4.80508 | + | 14.7885i | 0.198327 | + | 0.610388i | 0.999922 | + | 0.0125199i | \(0.00398530\pi\) |
−0.801595 | + | 0.597868i | \(0.796015\pi\) | |||||||
\(588\) | −0.720740 | − | 2.21821i | −0.0297228 | − | 0.0914775i | ||||
\(589\) | 3.18293 | − | 9.79606i | 0.131150 | − | 0.403640i | ||||
\(590\) | −11.3723 | + | 21.0662i | −0.468188 | + | 0.867284i | ||||
\(591\) | −14.0048 | − | 43.1023i | −0.576080 | − | 1.77299i | ||||
\(592\) | 6.94744 | − | 5.04761i | 0.285538 | − | 0.207456i | ||||
\(593\) | −11.4111 | −0.468599 | −0.234300 | − | 0.972164i | \(-0.575280\pi\) | ||||
−0.234300 | + | 0.972164i | \(0.575280\pi\) | |||||||
\(594\) | −0.910654 | + | 0.661629i | −0.0373646 | + | 0.0271470i | ||||
\(595\) | −1.18610 | − | 8.84423i | −0.0486253 | − | 0.362578i | ||||
\(596\) | −11.0164 | − | 8.00391i | −0.451251 | − | 0.327853i | ||||
\(597\) | −17.0065 | − | 12.3560i | −0.696031 | − | 0.505696i | ||||
\(598\) | 3.12292 | − | 9.61137i | 0.127706 | − | 0.393038i | ||||
\(599\) | 13.6745 | 0.558725 | 0.279362 | − | 0.960186i | \(-0.409877\pi\) | ||||
0.279362 | + | 0.960186i | \(0.409877\pi\) | |||||||
\(600\) | −6.39865 | − | 9.74964i | −0.261224 | − | 0.398027i | ||||
\(601\) | 39.1796 | 1.59817 | 0.799084 | − | 0.601220i | \(-0.205318\pi\) | ||||
0.799084 | + | 0.601220i | \(0.205318\pi\) | |||||||
\(602\) | 2.05013 | − | 6.30965i | 0.0835571 | − | 0.257162i | ||||
\(603\) | −1.12412 | − | 0.816718i | −0.0457775 | − | 0.0332593i | ||||
\(604\) | 2.59848 | + | 1.88790i | 0.105731 | + | 0.0768177i | ||||
\(605\) | 20.6782 | − | 9.92435i | 0.840688 | − | 0.403482i | ||||
\(606\) | 36.6733 | − | 26.6447i | 1.48975 | − | 1.08237i | ||||
\(607\) | −8.38016 | −0.340140 | −0.170070 | − | 0.985432i | \(-0.554399\pi\) | ||||
−0.170070 | + | 0.985432i | \(0.554399\pi\) | |||||||
\(608\) | 1.11960 | − | 0.813435i | 0.0454057 | − | 0.0329892i | ||||
\(609\) | −0.502492 | − | 1.54651i | −0.0203620 | − | 0.0626678i | ||||
\(610\) | 23.1191 | − | 11.0959i | 0.936067 | − | 0.449259i | ||||
\(611\) | 7.22525 | − | 22.2370i | 0.292302 | − | 0.899614i | ||||
\(612\) | −3.00888 | − | 9.26037i | −0.121627 | − | 0.374328i | ||||
\(613\) | 0.541091 | + | 1.66531i | 0.0218545 | + | 0.0672611i | 0.961389 | − | 0.275193i | \(-0.0887418\pi\) |
−0.939534 | + | 0.342454i | \(0.888742\pi\) | |||||||
\(614\) | −8.25963 | + | 25.4205i | −0.333331 | + | 1.02589i | ||||
\(615\) | −1.27314 | − | 1.33514i | −0.0513380 | − | 0.0538380i | ||||
\(616\) | 0.266278 | + | 0.819519i | 0.0107286 | + | 0.0330193i | ||||
\(617\) | 7.21917 | − | 5.24503i | 0.290633 | − | 0.211157i | −0.432909 | − | 0.901438i | \(-0.642513\pi\) |
0.723542 | + | 0.690281i | \(0.242513\pi\) | |||||||
\(618\) | 20.4400 | 0.822217 | ||||||||
\(619\) | −12.5338 | + | 9.10631i | −0.503774 | + | 0.366013i | −0.810457 | − | 0.585799i | \(-0.800781\pi\) |
0.306683 | + | 0.951812i | \(0.400781\pi\) | |||||||
\(620\) | 7.90590 | − | 14.6451i | 0.317509 | − | 0.588161i | ||||
\(621\) | 2.41396 | + | 1.75384i | 0.0968687 | + | 0.0703793i | ||||
\(622\) | −27.4066 | − | 19.9120i | −1.09890 | − | 0.798399i | ||||
\(623\) | 3.71234 | − | 11.4254i | 0.148732 | − | 0.457749i | ||||
\(624\) | −10.3192 | −0.413099 | ||||||||
\(625\) | −9.94734 | + | 22.9358i | −0.397894 | + | 0.917432i | ||||
\(626\) | −14.8707 | −0.594351 | ||||||||
\(627\) | 0.859480 | − | 2.64521i | 0.0343243 | − | 0.105639i | ||||
\(628\) | 8.31735 | + | 6.04291i | 0.331898 | + | 0.241138i | ||||
\(629\) | −27.7249 | − | 20.1433i | −1.10547 | − | 0.803168i | ||||
\(630\) | −2.59171 | + | 4.80095i | −0.103256 | + | 0.191275i | ||||
\(631\) | 4.70064 | − | 3.41521i | 0.187129 | − | 0.135957i | −0.490276 | − | 0.871567i | \(-0.663104\pi\) |
0.677406 | + | 0.735610i | \(0.263104\pi\) | |||||||
\(632\) | −12.6527 | −0.503299 | ||||||||
\(633\) | −36.3420 | + | 26.4040i | −1.44447 | + | 1.04947i | ||||
\(634\) | 3.46358 | + | 10.6598i | 0.137556 | + | 0.423355i | ||||
\(635\) | 11.8668 | + | 12.4446i | 0.470918 | + | 0.493850i | ||||
\(636\) | −0.782249 | + | 2.40751i | −0.0310182 | + | 0.0954641i | ||||
\(637\) | 1.36720 | + | 4.20782i | 0.0541705 | + | 0.166720i | ||||
\(638\) | 0.185646 | + | 0.571359i | 0.00734978 | + | 0.0226203i | ||||
\(639\) | −4.79810 | + | 14.7670i | −0.189810 | + | 0.584174i | ||||
\(640\) | 2.01591 | − | 0.967523i | 0.0796859 | − | 0.0382447i | ||||
\(641\) | −2.54773 | − | 7.84110i | −0.100629 | − | 0.309705i | 0.888051 | − | 0.459746i | \(-0.152059\pi\) |
−0.988680 | + | 0.150041i | \(0.952059\pi\) | |||||||
\(642\) | −10.7224 | + | 7.79025i | −0.423178 | + | 0.307456i | ||||
\(643\) | −37.4693 | −1.47765 | −0.738823 | − | 0.673899i | \(-0.764618\pi\) | ||||
−0.738823 | + | 0.673899i | \(0.764618\pi\) | |||||||
\(644\) | 1.84793 | − | 1.34260i | 0.0728187 | − | 0.0529059i | ||||
\(645\) | −31.1937 | + | 14.9712i | −1.22825 | + | 0.589491i | ||||
\(646\) | −4.46795 | − | 3.24615i | −0.175789 | − | 0.127718i | ||||
\(647\) | −0.465786 | − | 0.338414i | −0.0183119 | − | 0.0133044i | 0.578592 | − | 0.815617i | \(-0.303603\pi\) |
−0.596904 | + | 0.802313i | \(0.703603\pi\) | |||||||
\(648\) | 3.20344 | − | 9.85917i | 0.125843 | − | 0.387305i | ||||
\(649\) | −9.22547 | −0.362131 | ||||||||
\(650\) | 12.1379 | + | 18.4945i | 0.476086 | + | 0.725414i | ||||
\(651\) | −17.3595 | −0.680372 | ||||||||
\(652\) | 1.05979 | − | 3.26171i | 0.0415048 | − | 0.127739i | ||||
\(653\) | −1.73678 | − | 1.26185i | −0.0679655 | − | 0.0493798i | 0.553284 | − | 0.832993i | \(-0.313375\pi\) |
−0.621249 | + | 0.783613i | \(0.713375\pi\) | |||||||
\(654\) | −32.5990 | − | 23.6846i | −1.27472 | − | 0.926141i | ||||
\(655\) | −2.80624 | − | 20.9250i | −0.109649 | − | 0.817606i | ||||
\(656\) | 0.286179 | − | 0.207921i | 0.0111734 | − | 0.00811796i | ||||
\(657\) | −25.9677 | −1.01309 | ||||||||
\(658\) | 4.27541 | − | 3.10627i | 0.166673 | − | 0.121095i | ||||
\(659\) | 8.30657 | + | 25.5650i | 0.323578 | + | 0.995871i | 0.972078 | + | 0.234656i | \(0.0753965\pi\) |
−0.648500 | + | 0.761214i | \(0.724603\pi\) | |||||||
\(660\) | 2.13481 | − | 3.95458i | 0.0830974 | − | 0.153932i | ||||
\(661\) | −1.69433 | + | 5.21460i | −0.0659016 | + | 0.202824i | −0.978585 | − | 0.205843i | \(-0.934006\pi\) |
0.912683 | + | 0.408667i | \(0.134006\pi\) | |||||||
\(662\) | 0.414183 | + | 1.27472i | 0.0160977 | + | 0.0495436i | ||||
\(663\) | 12.7255 | + | 39.1651i | 0.494218 | + | 1.52105i | ||||
\(664\) | 4.21865 | − | 12.9837i | 0.163715 | − | 0.503864i | ||||
\(665\) | 0.411320 | + | 3.06703i | 0.0159503 | + | 0.118934i | ||||
\(666\) | 6.47479 | + | 19.9274i | 0.250893 | + | 0.772170i | ||||
\(667\) | 1.28836 | − | 0.936046i | 0.0498854 | − | 0.0362439i | ||||
\(668\) | −20.7996 | −0.804760 | ||||||||
\(669\) | −11.5295 | + | 8.37670i | −0.445757 | + | 0.323862i | ||||
\(670\) | −1.25263 | − | 0.229033i | −0.0483931 | − | 0.00884831i | ||||
\(671\) | 7.99485 | + | 5.80860i | 0.308638 | + | 0.224239i | ||||
\(672\) | −1.88692 | − | 1.37093i | −0.0727896 | − | 0.0528848i | ||||
\(673\) | −1.10973 | + | 3.41539i | −0.0427769 | + | 0.131654i | −0.970164 | − | 0.242449i | \(-0.922049\pi\) |
0.927387 | + | 0.374103i | \(0.122049\pi\) | |||||||
\(674\) | −1.30371 | −0.0502170 | ||||||||
\(675\) | −6.30071 | + | 1.72093i | −0.242515 | + | 0.0662386i | ||||
\(676\) | 6.57495 | 0.252883 | ||||||||
\(677\) | 8.87333 | − | 27.3093i | 0.341030 | − | 1.04958i | −0.622645 | − | 0.782504i | \(-0.713942\pi\) |
0.963675 | − | 0.267077i | \(-0.0860579\pi\) | |||||||
\(678\) | 2.71058 | + | 1.96935i | 0.104099 | + | 0.0756326i | ||||
\(679\) | −11.2145 | − | 8.14780i | −0.430372 | − | 0.312684i | ||||
\(680\) | −6.15808 | − | 6.45796i | −0.236152 | − | 0.247651i | ||||
\(681\) | 12.3628 | − | 8.98211i | 0.473744 | − | 0.344195i | ||||
\(682\) | 6.41347 | 0.245585 | ||||||||
\(683\) | 14.7347 | − | 10.7054i | 0.563808 | − | 0.409630i | −0.269043 | − | 0.963128i | \(-0.586707\pi\) |
0.832850 | + | 0.553498i | \(0.186707\pi\) | |||||||
\(684\) | 1.04343 | + | 3.21135i | 0.0398965 | + | 0.122789i | ||||
\(685\) | 20.0736 | + | 3.67030i | 0.766972 | + | 0.140235i | ||||
\(686\) | −0.309017 | + | 0.951057i | −0.0117983 | + | 0.0363115i | ||||
\(687\) | −16.4254 | − | 50.5523i | −0.626669 | − | 1.92869i | ||||
\(688\) | −2.05013 | − | 6.30965i | −0.0781605 | − | 0.240553i | ||||
\(689\) | 1.48388 | − | 4.56691i | 0.0565313 | − | 0.173986i | ||||
\(690\) | −11.7184 | − | 2.14262i | −0.446113 | − | 0.0815683i | ||||
\(691\) | −12.1838 | − | 37.4979i | −0.463494 | − | 1.42649i | −0.860867 | − | 0.508830i | \(-0.830078\pi\) |
0.397374 | − | 0.917657i | \(-0.369922\pi\) | |||||||
\(692\) | −1.08742 | + | 0.790060i | −0.0413377 | + | 0.0300336i | ||||
\(693\) | −2.10247 | −0.0798660 | ||||||||
\(694\) | −2.73310 | + | 1.98571i | −0.103747 | + | 0.0753766i | ||||
\(695\) | 16.5817 | + | 17.3892i | 0.628980 | + | 0.659609i | ||||
\(696\) | −1.31554 | − | 0.955796i | −0.0498654 | − | 0.0362294i | ||||
\(697\) | −1.14205 | − | 0.829745i | −0.0432581 | − | 0.0314288i | ||||
\(698\) | 2.15295 | − | 6.62610i | 0.0814904 | − | 0.250802i | ||||
\(699\) | −19.2124 | −0.726678 | ||||||||
\(700\) | −0.237562 | + | 4.99435i | −0.00897898 | + | 0.188769i | ||||
\(701\) | −6.34305 | −0.239574 | −0.119787 | − | 0.992800i | \(-0.538221\pi\) | ||||
−0.119787 | + | 0.992800i | \(0.538221\pi\) | |||||||
\(702\) | −1.78598 | + | 5.49667i | −0.0674074 | + | 0.207459i | ||||
\(703\) | 9.61456 | + | 6.98538i | 0.362620 | + | 0.263459i | ||||
\(704\) | 0.697124 | + | 0.506490i | 0.0262739 | + | 0.0190891i | ||||
\(705\) | −27.1119 | − | 4.95721i | −1.02109 | − | 0.186699i | ||||
\(706\) | −12.6164 | + | 9.16636i | −0.474825 | + | 0.344981i | ||||
\(707\) | −19.4355 | −0.730947 | ||||||||
\(708\) | 20.2018 | − | 14.6775i | 0.759230 | − | 0.551613i | ||||
\(709\) | −5.71112 | − | 17.5770i | −0.214486 | − | 0.660119i | −0.999190 | − | 0.0402485i | \(-0.987185\pi\) |
0.784704 | − | 0.619871i | \(-0.212815\pi\) | |||||||
\(710\) | 1.89141 | + | 14.1034i | 0.0709833 | + | 0.529292i | ||||
\(711\) | 9.53989 | − | 29.3607i | 0.357774 | − | 1.10111i | ||||
\(712\) | −3.71234 | − | 11.4254i | −0.139126 | − | 0.428185i | ||||
\(713\) | −5.25354 | − | 16.1687i | −0.196746 | − | 0.605523i | ||||
\(714\) | −2.87624 | + | 8.85215i | −0.107640 | + | 0.331283i | ||||
\(715\) | −4.04961 | + | 7.50160i | −0.151447 | + | 0.280544i | ||||
\(716\) | −7.22137 | − | 22.2251i | −0.269875 | − | 0.830591i | ||||
\(717\) | −1.99592 | + | 1.45012i | −0.0745391 | + | 0.0541558i | ||||
\(718\) | −12.1240 | −0.452462 | ||||||||
\(719\) | −26.5637 | + | 19.2997i | −0.990660 | + | 0.719757i | −0.960066 | − | 0.279775i | \(-0.909740\pi\) |
−0.0305947 | + | 0.999532i | \(0.509740\pi\) | |||||||
\(720\) | 0.725190 | + | 5.40743i | 0.0270262 | + | 0.201523i | ||||
\(721\) | −7.08993 | − | 5.15114i | −0.264043 | − | 0.191838i | ||||
\(722\) | −13.8219 | − | 10.0422i | −0.514398 | − | 0.373732i | ||||
\(723\) | 7.34521 | − | 22.6062i | 0.273171 | − | 0.840735i | ||||
\(724\) | 18.6728 | 0.693970 | ||||||||
\(725\) | −0.165625 | + | 3.48201i | −0.00615116 | + | 0.129318i | ||||
\(726\) | −23.9242 | −0.887910 | ||||||||
\(727\) | −13.1128 | + | 40.3569i | −0.486326 | + | 1.49676i | 0.343726 | + | 0.939070i | \(0.388311\pi\) |
−0.830052 | + | 0.557686i | \(0.811689\pi\) | |||||||
\(728\) | 3.57938 | + | 2.60057i | 0.132661 | + | 0.0963836i | ||||
\(729\) | 13.0683 | + | 9.49465i | 0.484010 | + | 0.351654i | ||||
\(730\) | −21.4550 | + | 10.2972i | −0.794084 | + | 0.381115i | ||||
\(731\) | −21.4192 | + | 15.5619i | −0.792217 | + | 0.575579i | ||||
\(732\) | −26.7483 | −0.988647 | ||||||||
\(733\) | −12.8110 | + | 9.30773i | −0.473185 | + | 0.343789i | −0.798681 | − | 0.601755i | \(-0.794469\pi\) |
0.325497 | + | 0.945543i | \(0.394469\pi\) | |||||||
\(734\) | 4.79192 | + | 14.7480i | 0.176873 | + | 0.544359i | ||||
\(735\) | 4.70184 | − | 2.25662i | 0.173430 | − | 0.0832365i | ||||
\(736\) | 0.705847 | − | 2.17238i | 0.0260179 | − | 0.0800748i | ||||
\(737\) | −0.151639 | − | 0.466698i | −0.00558571 | − | 0.0171910i | ||||
\(738\) | 0.266710 | + | 0.820848i | 0.00981772 | + | 0.0302158i | ||||
\(739\) | 0.615651 | − | 1.89478i | 0.0226471 | − | 0.0697006i | −0.939094 | − | 0.343660i | \(-0.888333\pi\) |
0.961741 | + | 0.273959i | \(0.0883333\pi\) | |||||||
\(740\) | 13.2516 | + | 13.8969i | 0.487137 | + | 0.510859i | ||||
\(741\) | −4.41300 | − | 13.5818i | −0.162115 | − | 0.498940i | ||||
\(742\) | 0.878059 | − | 0.637947i | 0.0322346 | − | 0.0234198i | ||||
\(743\) | 19.4460 | 0.713405 | 0.356702 | − | 0.934218i | \(-0.383901\pi\) | ||||
0.356702 | + | 0.934218i | \(0.383901\pi\) | |||||||
\(744\) | −14.0441 | + | 10.2037i | −0.514883 | + | 0.374084i | ||||
\(745\) | 14.4642 | − | 26.7938i | 0.529927 | − | 0.981649i | ||||
\(746\) | 23.2636 | + | 16.9020i | 0.851741 | + | 0.618826i | ||||
\(747\) | 26.9479 | + | 19.5788i | 0.985971 | + | 0.716350i | ||||
\(748\) | 1.06263 | − | 3.27043i | 0.0388535 | − | 0.119579i | ||||
\(749\) | 5.68246 | 0.207632 | ||||||||
\(750\) | 19.7056 | − | 17.0786i | 0.719547 | − | 0.623623i | ||||
\(751\) | 23.0775 | 0.842110 | 0.421055 | − | 0.907035i | \(-0.361660\pi\) | ||||
0.421055 | + | 0.907035i | \(0.361660\pi\) | |||||||
\(752\) | 1.63306 | − | 5.02604i | 0.0595516 | − | 0.183281i | ||||
\(753\) | −29.1554 | − | 21.1826i | −1.06248 | − | 0.771938i | ||||
\(754\) | 2.49550 | + | 1.81309i | 0.0908809 | + | 0.0660288i | ||||
\(755\) | −3.41171 | + | 6.31993i | −0.124165 | + | 0.230006i | ||||
\(756\) | −1.05682 | + | 0.767824i | −0.0384362 | + | 0.0279255i | ||||
\(757\) | −13.0180 | −0.473148 | −0.236574 | − | 0.971614i | \(-0.576025\pi\) | ||||
−0.236574 | + | 0.971614i | \(0.576025\pi\) | |||||||
\(758\) | 11.2974 | − | 8.20807i | 0.410341 | − | 0.298130i | ||||
\(759\) | −1.41860 | − | 4.36600i | −0.0514919 | − | 0.158476i | ||||
\(760\) | 2.13552 | + | 2.23952i | 0.0774635 | + | 0.0812357i | ||||
\(761\) | 2.34010 | − | 7.20208i | 0.0848285 | − | 0.261075i | −0.899641 | − | 0.436630i | \(-0.856172\pi\) |
0.984470 | + | 0.175555i | \(0.0561719\pi\) | |||||||
\(762\) | −5.54257 | − | 17.0583i | −0.200786 | − | 0.617956i | ||||
\(763\) | 5.33867 | + | 16.4307i | 0.193273 | + | 0.594833i | ||||
\(764\) | 7.81630 | − | 24.0561i | 0.282784 | − | 0.870319i | ||||
\(765\) | 19.6288 | − | 9.42071i | 0.709681 | − | 0.340606i | ||||
\(766\) | 2.72836 | + | 8.39703i | 0.0985796 | + | 0.303397i | ||||
\(767\) | −38.3216 | + | 27.8423i | −1.38371 | + | 1.00533i | ||||
\(768\) | −2.33236 | −0.0841620 | ||||||||
\(769\) | −22.6706 | + | 16.4712i | −0.817524 | + | 0.593966i | −0.916002 | − | 0.401173i | \(-0.868603\pi\) |
0.0984783 | + | 0.995139i | \(0.468603\pi\) | |||||||
\(770\) | −1.73710 | + | 0.833708i | −0.0626006 | + | 0.0300447i | ||||
\(771\) | −56.7990 | − | 41.2669i | −2.04556 | − | 1.48619i | ||||
\(772\) | −17.0073 | − | 12.3566i | −0.612107 | − | 0.444722i | ||||
\(773\) | 3.02268 | − | 9.30284i | 0.108718 | − | 0.334600i | −0.881867 | − | 0.471498i | \(-0.843713\pi\) |
0.990585 | + | 0.136898i | \(0.0437133\pi\) | |||||||
\(774\) | 16.1873 | 0.581842 | ||||||||
\(775\) | 34.8066 | + | 13.1685i | 1.25029 | + | 0.473026i | ||||
\(776\) | −13.8619 | −0.497612 | ||||||||
\(777\) | 6.18936 | − | 19.0489i | 0.222042 | − | 0.683375i | ||||
\(778\) | 15.9207 | + | 11.5670i | 0.570784 | + | 0.414699i | ||||
\(779\) | 0.396043 | + | 0.287742i | 0.0141897 | + | 0.0103094i | ||||
\(780\) | −3.06706 | − | 22.8697i | −0.109818 | − | 0.818868i | ||||
\(781\) | −4.43629 | + | 3.22316i | −0.158743 | + | 0.115334i | ||||
\(782\) | −9.11537 | −0.325965 | ||||||||
\(783\) | −0.736802 | + | 0.535318i | −0.0263312 | + | 0.0191307i | ||||
\(784\) | 0.309017 | + | 0.951057i | 0.0110363 | + | 0.0339663i | ||||
\(785\) | −10.9204 | + | 20.2292i | −0.389765 | + | 0.722011i | ||||
\(786\) | −6.80501 | + | 20.9437i | −0.242727 | + | 0.747036i | ||||
\(787\) | −0.0936544 | − | 0.288239i | −0.00333842 | − | 0.0102746i | 0.949373 | − | 0.314150i | \(-0.101719\pi\) |
−0.952712 | + | 0.303875i | \(0.901719\pi\) | |||||||
\(788\) | 6.00454 | + | 18.4801i | 0.213903 | + | 0.658326i | ||||
\(789\) | 16.1838 | − | 49.8086i | 0.576158 | − | 1.77323i | ||||
\(790\) | −3.76062 | − | 28.0413i | −0.133797 | − | 0.997666i | ||||
\(791\) | −0.443906 | − | 1.36620i | −0.0157835 | − | 0.0485765i | ||||
\(792\) | −1.70093 | + | 1.23580i | −0.0604399 | + | 0.0439122i | ||||
\(793\) | 50.7400 | 1.80183 | ||||||||
\(794\) | −21.6755 | + | 15.7482i | −0.769236 | + | 0.558883i | ||||
\(795\) | −5.56809 | − | 1.01808i | −0.197480 | − | 0.0361077i | ||||
\(796\) | 7.29154 | + | 5.29762i | 0.258442 | + | 0.187769i | ||||
\(797\) | −40.7120 | − | 29.5790i | −1.44209 | − | 1.04774i | −0.987600 | − | 0.156990i | \(-0.949821\pi\) |
−0.454492 | − | 0.890751i | \(-0.650179\pi\) | |||||||
\(798\) | 0.997432 | − | 3.06978i | 0.0353087 | − | 0.108669i | ||||
\(799\) | −21.0895 | −0.746092 | ||||||||
\(800\) | 2.74342 | + | 4.18015i | 0.0969944 | + | 0.147791i | ||||
\(801\) | 29.3117 | 1.03568 | ||||||||
\(802\) | −4.46457 | + | 13.7405i | −0.157649 | + | 0.485195i | ||||
\(803\) | −7.41936 | − | 5.39048i | −0.261824 | − | 0.190226i | ||||
\(804\) | 1.07456 | + | 0.780714i | 0.0378968 | + | 0.0275337i | ||||
\(805\) | 3.52475 | + | 3.69639i | 0.124231 | + | 0.130281i | ||||
\(806\) | 26.6409 | − | 19.3557i | 0.938385 | − | 0.681777i | ||||
\(807\) | 39.3651 | 1.38572 | ||||||||
\(808\) | −15.7236 | + | 11.4239i | −0.553156 | + | 0.401891i | ||||
\(809\) | 1.59316 | + | 4.90326i | 0.0560127 | + | 0.172389i | 0.975149 | − | 0.221551i | \(-0.0711118\pi\) |
−0.919136 | + | 0.393940i | \(0.871112\pi\) | |||||||
\(810\) | 22.8023 | + | 4.16922i | 0.801190 | + | 0.146492i | ||||
\(811\) | 2.75069 | − | 8.46576i | 0.0965899 | − | 0.297273i | −0.891075 | − | 0.453856i | \(-0.850048\pi\) |
0.987665 | + | 0.156583i | \(0.0500479\pi\) | |||||||
\(812\) | 0.215443 | + | 0.663066i | 0.00756057 | + | 0.0232690i | ||||
\(813\) | 11.6401 | + | 35.8245i | 0.408235 | + | 1.25642i | ||||
\(814\) | −2.28666 | + | 7.03762i | −0.0801475 | + | 0.246669i | ||||
\(815\) | 7.54368 | + | 1.37931i | 0.264244 | + | 0.0483149i | ||||
\(816\) | 2.87624 | + | 8.85215i | 0.100688 | + | 0.309887i | ||||
\(817\) | 7.42782 | − | 5.39663i | 0.259866 | − | 0.188804i | ||||
\(818\) | −13.7879 | −0.482084 | ||||||||
\(819\) | −8.73342 | + | 6.34520i | −0.305170 | + | 0.221719i | ||||
\(820\) | 0.545858 | + | 0.572440i | 0.0190622 | + | 0.0199905i | ||||
\(821\) | −38.1758 | − | 27.7363i | −1.33234 | − | 0.968004i | −0.999689 | − | 0.0249552i | \(-0.992056\pi\) |
−0.332655 | − | 0.943049i | \(-0.607944\pi\) | |||||||
\(822\) | −17.2201 | − | 12.5111i | −0.600619 | − | 0.436375i | ||||
\(823\) | −0.335141 | + | 1.03146i | −0.0116823 | + | 0.0359544i | −0.956728 | − | 0.290985i | \(-0.906017\pi\) |
0.945045 | + | 0.326939i | \(0.106017\pi\) | |||||||
\(824\) | −8.76364 | −0.305296 | ||||||||
\(825\) | 9.39875 | + | 3.55586i | 0.327222 | + | 0.123799i | ||||
\(826\) | −10.7062 | −0.372517 | ||||||||
\(827\) | 12.0425 | − | 37.0630i | 0.418759 | − | 1.28881i | −0.490087 | − | 0.871674i | \(-0.663035\pi\) |
0.908845 | − | 0.417133i | \(-0.136965\pi\) | |||||||
\(828\) | 4.50882 | + | 3.27585i | 0.156692 | + | 0.113844i | ||||
\(829\) | −43.6457 | − | 31.7105i | −1.51588 | − | 1.10135i | −0.963484 | − | 0.267767i | \(-0.913714\pi\) |
−0.552395 | − | 0.833583i | \(-0.686286\pi\) | |||||||
\(830\) | 30.0286 | + | 5.49050i | 1.04231 | + | 0.190578i | ||||
\(831\) | 26.8500 | − | 19.5077i | 0.931417 | − | 0.676714i | ||||
\(832\) | 4.42436 | 0.153387 | ||||||||
\(833\) | 3.22852 | − | 2.34566i | 0.111862 | − | 0.0812722i | ||||
\(834\) | −7.74476 | − | 23.8359i | −0.268179 | − | 0.825371i | ||||
\(835\) | −6.18201 | − | 46.0966i | −0.213937 | − | 1.59524i | ||||
\(836\) | −0.368501 | + | 1.13413i | −0.0127449 | + | 0.0392247i | ||||
\(837\) | 3.00446 | + | 9.24678i | 0.103849 | + | 0.319615i | ||||
\(838\) | 3.54874 | + | 10.9219i | 0.122589 | + | 0.377291i | ||||
\(839\) | 9.91498 | − | 30.5152i | 0.342303 | − | 1.05350i | −0.620709 | − | 0.784041i | \(-0.713155\pi\) |
0.963012 | − | 0.269459i | \(-0.0868450\pi\) | |||||||
\(840\) | 2.47746 | − | 4.58931i | 0.0854806 | − | 0.158346i | ||||
\(841\) | −8.81129 | − | 27.1184i | −0.303838 | − | 0.935116i | ||||
\(842\) | 6.39505 | − | 4.64627i | 0.220388 | − | 0.160121i | ||||
\(843\) | −22.0546 | −0.759599 | ||||||||
\(844\) | 15.5816 | − | 11.3207i | 0.536341 | − | 0.389675i | ||||
\(845\) | 1.95420 | + | 14.5716i | 0.0672264 | + | 0.501278i | ||||
\(846\) | 10.4317 | + | 7.57905i | 0.358648 | + | 0.260573i | ||||
\(847\) | 8.29848 | + | 6.02920i | 0.285139 | + | 0.207166i | ||||
\(848\) | 0.335389 | − | 1.03222i | 0.0115173 | − | 0.0354466i | ||||
\(849\) | 54.4828 | 1.86985 | ||||||||
\(850\) | 12.4820 | − | 15.5671i | 0.428129 | − | 0.533948i | ||||
\(851\) | 19.6153 | 0.672405 | ||||||||
\(852\) | 4.58658 | − | 14.1160i | 0.157134 | − | 0.483608i | ||||
\(853\) | −4.79948 | − | 3.48703i | −0.164331 | − | 0.119393i | 0.502580 | − | 0.864530i | \(-0.332384\pi\) |
−0.666911 | + | 0.745137i | \(0.732384\pi\) | |||||||
\(854\) | 9.27808 | + | 6.74092i | 0.317489 | + | 0.230669i | ||||
\(855\) | −6.80694 | + | 3.26695i | −0.232793 | + | 0.111727i | ||||
\(856\) | 4.59720 | − | 3.34006i | 0.157129 | − | 0.114161i | ||||
\(857\) | −11.4247 | −0.390261 | −0.195130 | − | 0.980777i | \(-0.562513\pi\) | ||||
−0.195130 | + | 0.980777i | \(0.562513\pi\) | |||||||
\(858\) | 7.19378 | − | 5.22658i | 0.245591 | − | 0.178433i | ||||
\(859\) | 14.8917 | + | 45.8321i | 0.508100 | + | 1.56377i | 0.795496 | + | 0.605959i | \(0.207210\pi\) |
−0.287396 | + | 0.957812i | \(0.592790\pi\) | |||||||
\(860\) | 13.3743 | − | 6.41890i | 0.456059 | − | 0.218883i | ||||
\(861\) | 0.254952 | − | 0.784663i | 0.00868875 | − | 0.0267412i | ||||
\(862\) | −5.64107 | − | 17.3614i | −0.192136 | − | 0.591333i | ||||
\(863\) | 14.2570 | + | 43.8784i | 0.485312 | + | 1.49364i | 0.831528 | + | 0.555483i | \(0.187467\pi\) |
−0.346216 | + | 0.938155i | \(0.612533\pi\) | |||||||
\(864\) | −0.403669 | + | 1.24237i | −0.0137331 | + | 0.0422662i | ||||
\(865\) | −2.07415 | − | 2.17516i | −0.0705234 | − | 0.0739576i | ||||
\(866\) | −3.65391 | − | 11.2456i | −0.124165 | − | 0.382140i | ||||
\(867\) | −2.02760 | + | 1.47314i | −0.0688609 | + | 0.0500304i | ||||
\(868\) | 7.44288 | 0.252628 | ||||||||
\(869\) | 8.82053 | − | 6.40849i | 0.299216 | − | 0.217393i | ||||
\(870\) | 1.72726 | − | 3.19962i | 0.0585595 | − | 0.108477i | ||||
\(871\) | −2.03838 | − | 1.48097i | −0.0690678 | − | 0.0501807i | ||||
\(872\) | 13.9768 | + | 10.1548i | 0.473315 | + | 0.343883i | ||||
\(873\) | 10.4515 | − | 32.1665i | 0.353731 | − | 1.08867i | ||||
\(874\) | 3.16106 | 0.106924 | ||||||||
\(875\) | −11.1392 | + | 0.957922i | −0.376575 | + | 0.0323837i | ||||
\(876\) | 24.8229 | 0.838689 | ||||||||
\(877\) | −4.91297 | + | 15.1206i | −0.165899 | + | 0.510586i | −0.999101 | − | 0.0423829i | \(-0.986505\pi\) |
0.833202 | + | 0.552969i | \(0.186505\pi\) | |||||||
\(878\) | 15.2477 | + | 11.0781i | 0.514586 | + | 0.373868i | ||||
\(879\) | 45.3465 | + | 32.9461i | 1.52950 | + | 1.11125i | ||||
\(880\) | −0.915300 | + | 1.69552i | −0.0308547 | + | 0.0571561i | ||||
\(881\) | −19.6447 | + | 14.2727i | −0.661848 | + | 0.480861i | −0.867287 | − | 0.497809i | \(-0.834138\pi\) |
0.205438 | + | 0.978670i | \(0.434138\pi\) | |||||||
\(882\) | −2.43992 | −0.0821565 | ||||||||
\(883\) | 26.6599 | − | 19.3695i | 0.897175 | − | 0.651836i | −0.0405635 | − | 0.999177i | \(-0.512915\pi\) |
0.937739 | + | 0.347341i | \(0.112915\pi\) | |||||||
\(884\) | −5.45605 | − | 16.7920i | −0.183507 | − | 0.564776i | ||||
\(885\) | 38.5329 | + | 40.4093i | 1.29527 | + | 1.35835i | ||||
\(886\) | 1.09602 | − | 3.37320i | 0.0368215 | − | 0.113325i | ||||
\(887\) | 7.65374 | + | 23.5558i | 0.256987 | + | 0.790926i | 0.993432 | + | 0.114427i | \(0.0365034\pi\) |
−0.736444 | + | 0.676498i | \(0.763497\pi\) | |||||||
\(888\) | −6.18936 | − | 19.0489i | −0.207701 | − | 0.639239i | ||||
\(889\) | −2.37638 | + | 7.31373i | −0.0797011 | + | 0.245295i | ||||
\(890\) | 24.2179 | − | 11.6232i | 0.811786 | − | 0.389611i | ||||
\(891\) | 2.76038 | + | 8.49557i | 0.0924762 | + | 0.284612i | ||||
\(892\) | 4.94328 | − | 3.59150i | 0.165513 | − | 0.120252i | ||||
\(893\) | 7.31349 | 0.244736 | ||||||||
\(894\) | −25.6943 | + | 18.6680i | −0.859347 | + | 0.624352i | ||||
\(895\) | 47.1095 | − | 22.6099i | 1.57470 | − | 0.755766i | ||||
\(896\) | 0.809017 | + | 0.587785i | 0.0270274 | + | 0.0196365i | ||||
\(897\) | −19.0692 | − | 13.8546i | −0.636703 | − | 0.462592i | ||||
\(898\) | −6.18227 | + | 19.0271i | −0.206305 | + | 0.634941i | ||||
\(899\) | 5.18909 | 0.173066 | ||||||||
\(900\) | −11.7685 | + | 3.21437i | −0.392285 | + | 0.107146i | ||||
\(901\) | −4.33124 | −0.144294 | ||||||||
\(902\) | −0.0941922 | + | 0.289894i | −0.00313626 | + | 0.00965241i | ||||
\(903\) | −12.5185 | − | 9.09524i | −0.416591 | − | 0.302671i | ||||
\(904\) | −1.16216 | − | 0.844359i | −0.0386529 | − | 0.0280830i | ||||
\(905\) | 5.54990 | + | 41.3832i | 0.184485 | + | 1.37562i | ||||
\(906\) | 6.06059 | − | 4.40328i | 0.201350 | − | 0.146289i | ||||
\(907\) | −29.1813 | −0.968949 | −0.484475 | − | 0.874805i | \(-0.660989\pi\) | ||||
−0.484475 | + | 0.874805i | \(0.660989\pi\) | |||||||
\(908\) | −5.30055 | + | 3.85107i | −0.175905 | + | 0.127802i | ||||
\(909\) | −14.6539 | − | 45.1002i | −0.486040 | − | 1.49588i | ||||
\(910\) | −4.69960 | + | 8.70566i | −0.155790 | + | 0.288590i | ||||
\(911\) | −9.86191 | + | 30.3518i | −0.326740 | + | 1.00560i | 0.643910 | + | 0.765101i | \(0.277311\pi\) |
−0.970649 | + | 0.240499i | \(0.922689\pi\) | |||||||
\(912\) | −0.997432 | − | 3.06978i | −0.0330283 | − | 0.101651i | ||||
\(913\) | 3.63518 | + | 11.1879i | 0.120307 | + | 0.370266i | ||||
\(914\) | −11.6038 | + | 35.7127i | −0.383819 | + | 1.18127i | ||||
\(915\) | −7.95009 | − | 59.2804i | −0.262822 | − | 1.95975i | ||||
\(916\) | 7.04239 | + | 21.6743i | 0.232687 | + | 0.716138i | ||||
\(917\) | 7.63850 | − | 5.54969i | 0.252245 | − | 0.183267i | ||||
\(918\) | 5.21302 | 0.172055 | ||||||||
\(919\) | −8.74185 | + | 6.35133i | −0.288367 | + | 0.209511i | −0.722559 | − | 0.691310i | \(-0.757034\pi\) |
0.434192 | + | 0.900821i | \(0.357034\pi\) | |||||||
\(920\) | 5.02427 | + | 0.918649i | 0.165645 | + | 0.0302870i | ||||
\(921\) | 50.4350 | + | 36.6432i | 1.66189 | + | 1.20743i | ||||
\(922\) | −4.99757 | − | 3.63095i | −0.164586 | − | 0.119579i | ||||
\(923\) | −8.70047 | + | 26.7773i | −0.286380 | + | 0.881386i | ||||
\(924\) | 2.00978 | 0.0661170 | ||||||||
\(925\) | −26.8600 | + | 33.4988i | −0.883151 | + | 1.10144i | ||||
\(926\) | −34.2140 | −1.12434 | ||||||||
\(927\) | 6.60759 | − | 20.3361i | 0.217022 | − | 0.667924i | ||||
\(928\) | 0.564037 | + | 0.409797i | 0.0185154 | + | 0.0134522i | ||||
\(929\) | −6.18394 | − | 4.49290i | −0.202889 | − | 0.147407i | 0.481702 | − | 0.876335i | \(-0.340019\pi\) |
−0.684590 | + | 0.728928i | \(0.740019\pi\) | |||||||
\(930\) | −26.7878 | − | 28.0923i | −0.878406 | − | 0.921182i | ||||
\(931\) | −1.11960 | + | 0.813435i | −0.0366933 | + | 0.0266593i | ||||
\(932\) | 8.23729 | 0.269821 | ||||||||
\(933\) | −63.9221 | + | 46.4421i | −2.09271 | + | 1.52045i | ||||
\(934\) | −6.13451 | − | 18.8801i | −0.200727 | − | 0.617775i | ||||
\(935\) | 7.56384 | + | 1.38299i | 0.247364 | + | 0.0452286i | ||||
\(936\) | −3.33587 | + | 10.2668i | −0.109036 | + | 0.335579i | ||||
\(937\) | 9.62849 | + | 29.6334i | 0.314549 | + | 0.968082i | 0.975940 | + | 0.218041i | \(0.0699666\pi\) |
−0.661391 | + | 0.750042i | \(0.730033\pi\) | |||||||
\(938\) | −0.175978 | − | 0.541606i | −0.00574590 | − | 0.0176841i | ||||
\(939\) | −10.7179 | + | 32.9863i | −0.349765 | + | 1.07647i | ||||
\(940\) | 11.6242 | + | 2.12540i | 0.379141 | + | 0.0693230i | ||||
\(941\) | 3.13148 | + | 9.63771i | 0.102083 | + | 0.314180i | 0.989035 | − | 0.147682i | \(-0.0471813\pi\) |
−0.886951 | + | 0.461863i | \(0.847181\pi\) | |||||||
\(942\) | 19.3991 | − | 14.0943i | 0.632057 | − | 0.459216i | ||||
\(943\) | 0.807995 | 0.0263119 | ||||||||
\(944\) | −8.66151 | + | 6.29295i | −0.281908 | + | 0.204818i | ||||
\(945\) | −2.01578 | − | 2.11394i | −0.0655733 | − | 0.0687665i | ||||
\(946\) | 4.62497 | + | 3.36024i | 0.150371 | + | 0.109251i | ||||
\(947\) | −47.4822 | − | 34.4978i | −1.54296 | − | 1.12103i | −0.948442 | − | 0.316949i | \(-0.897341\pi\) |
−0.594522 | − | 0.804080i | \(-0.702659\pi\) | |||||||
\(948\) | −9.11934 | + | 28.0664i | −0.296182 | + | 0.911555i | ||||
\(949\) | −47.0876 | −1.52853 | ||||||||
\(950\) | −4.32856 | + | 5.39843i | −0.140437 | + | 0.175148i | ||||
\(951\) | 26.1420 | 0.847713 | ||||||||
\(952\) | 1.23318 | − | 3.79535i | 0.0399677 | − | 0.123008i | ||||
\(953\) | −27.5410 | − | 20.0097i | −0.892142 | − | 0.648179i | 0.0442937 | − | 0.999019i | \(-0.485896\pi\) |
−0.936436 | + | 0.350839i | \(0.885896\pi\) | |||||||
\(954\) | 2.14240 | + | 1.55654i | 0.0693627 | + | 0.0503949i | ||||
\(955\) | 55.6369 | + | 10.1728i | 1.80037 | + | 0.329184i | ||||
\(956\) | 0.855751 | − | 0.621739i | 0.0276770 | − | 0.0201085i | ||||
\(957\) | 1.40120 | 0.0452942 | ||||||||
\(958\) | 2.99876 | − | 2.17873i | 0.0968856 | − | 0.0703915i | ||||
\(959\) | 2.82009 | + | 8.67934i | 0.0910655 | + | 0.280271i | ||||
\(960\) | −0.693221 | − | 5.16905i | −0.0223736 | − | 0.166830i | ||||
\(961\) | 7.53890 | − | 23.2024i | 0.243190 | − | 0.748463i | ||||
\(962\) | 11.7409 | + | 36.1346i | 0.378540 | + | 1.16503i | ||||
\(963\) | 4.28445 | + | 13.1862i | 0.138064 | + | 0.424918i | ||||
\(964\) | −3.14926 | + | 9.69241i | −0.101431 | + | 0.312172i | ||||
\(965\) | 22.3300 | − | 41.3647i | 0.718829 | − | 1.33158i | ||||
\(966\) | −1.64629 | − | 5.06677i | −0.0529686 | − | 0.163021i | ||||
\(967\) | −41.3212 | + | 30.0216i | −1.32880 | + | 0.965431i | −0.329024 | + | 0.944321i | \(0.606720\pi\) |
−0.999777 | + | 0.0211093i | \(0.993280\pi\) | |||||||
\(968\) | 10.2575 | 0.329688 | ||||||||
\(969\) | −10.4209 | + | 7.57121i | −0.334767 | + | 0.243222i | ||||
\(970\) | −4.12000 | − | 30.7210i | −0.132285 | − | 0.986393i | ||||
\(971\) | 28.2087 | + | 20.4948i | 0.905261 | + | 0.657711i | 0.939812 | − | 0.341692i | \(-0.111000\pi\) |
−0.0345506 | + | 0.999403i | \(0.511000\pi\) | |||||||
\(972\) | −16.3904 | − | 11.9083i | −0.525722 | − | 0.381960i | ||||
\(973\) | −3.32056 | + | 10.2196i | −0.106452 | + | 0.327627i | ||||
\(974\) | −39.1314 | −1.25385 | ||||||||
\(975\) | 49.7729 | − | 13.5946i | 1.59401 | − | 0.435375i | ||||
\(976\) | 11.4683 | 0.367092 | ||||||||
\(977\) | −3.62565 | + | 11.1586i | −0.115995 | + | 0.356996i | −0.992153 | − | 0.125028i | \(-0.960098\pi\) |
0.876158 | + | 0.482024i | \(0.160098\pi\) | |||||||
\(978\) | −6.47133 | − | 4.70169i | −0.206930 | − | 0.150344i | ||||
\(979\) | 8.37481 | + | 6.08466i | 0.267660 | + | 0.194466i | ||||
\(980\) | −2.01591 | + | 0.967523i | −0.0643959 | + | 0.0309064i | ||||
\(981\) | −34.1024 | + | 24.7768i | −1.08881 | + | 0.791063i | ||||
\(982\) | 11.1920 | 0.357150 | ||||||||
\(983\) | −32.2125 | + | 23.4037i | −1.02742 | + | 0.746463i | −0.967790 | − | 0.251757i | \(-0.918992\pi\) |
−0.0596282 | + | 0.998221i | \(0.518992\pi\) | |||||||
\(984\) | −0.254952 | − | 0.784663i | −0.00812758 | − | 0.0250141i | ||||
\(985\) | −39.1714 | + | 18.8000i | −1.24810 | + | 0.599019i | ||||
\(986\) | 0.859762 | − | 2.64608i | 0.0273804 | − | 0.0842682i | ||||
\(987\) | −3.80889 | − | 11.7226i | −0.121238 | − | 0.373133i | ||||
\(988\) | 1.89207 | + | 5.82319i | 0.0601948 | + | 0.185260i | ||||
\(989\) | 4.68285 | − | 14.4123i | 0.148906 | − | 0.458285i | ||||
\(990\) | −3.24436 | − | 3.40235i | −0.103112 | − | 0.108134i | ||||
\(991\) | −9.01394 | − | 27.7421i | −0.286337 | − | 0.881256i | −0.985995 | − | 0.166777i | \(-0.946664\pi\) |
0.699657 | − | 0.714479i | \(-0.253336\pi\) | |||||||
\(992\) | 6.02141 | − | 4.37481i | 0.191180 | − | 0.138900i | ||||
\(993\) | 3.12613 | 0.0992046 | ||||||||
\(994\) | −5.14835 | + | 3.74049i | −0.163296 | + | 0.118641i | ||||
\(995\) | −9.57354 | + | 17.7343i | −0.303502 | + | 0.562214i | ||||
\(996\) | −25.7599 | − | 18.7157i | −0.816235 | − | 0.593029i | ||||
\(997\) | 32.8733 | + | 23.8838i | 1.04111 | + | 0.756408i | 0.970501 | − | 0.241096i | \(-0.0775069\pi\) |
0.0706053 | + | 0.997504i | \(0.477507\pi\) | |||||||
\(998\) | 1.07938 | − | 3.32198i | 0.0341671 | − | 0.105156i | ||||
\(999\) | −11.2179 | −0.354918 |
(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 | 350.2.h.d.71.4 | ✓ | 20 | |
25.6 | even | 5 | inner | 350.2.h.d.281.4 | yes | 20 | |
25.9 | even | 10 | 8750.2.a.x.1.8 | 10 | |||
25.16 | even | 5 | 8750.2.a.w.1.3 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.h.d.71.4 | ✓ | 20 | 1.1 | even | 1 | trivial | |
350.2.h.d.281.4 | yes | 20 | 25.6 | even | 5 | inner | |
8750.2.a.w.1.3 | 10 | 25.16 | even | 5 | |||
8750.2.a.x.1.8 | 10 | 25.9 | even | 10 |