Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(17,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.x (of order \(20\), degree \(8\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 17.5 | ||
Character | \(\chi\) | \(=\) | 300.17 |
Dual form | 300.2.x.a.53.5 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{13}{20}\right)\) |
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 | 0 | ||||||||
\(3\) | −0.351313 | − | 1.69605i | −0.202831 | − | 0.979214i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.22846 | − | 0.184289i | 0.996598 | − | 0.0824166i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.84010 | − | 2.84010i | −1.07346 | − | 1.07346i | −0.997079 | − | 0.0763784i | \(-0.975664\pi\) |
−0.0763784 | − | 0.997079i | \(-0.524336\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.75316 | + | 1.19169i | −0.917719 | + | 0.397230i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.71560 | − | 1.53219i | 1.42181 | − | 0.461973i | 0.505630 | − | 0.862750i | \(-0.331260\pi\) |
0.916175 | + | 0.400778i | \(0.131260\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.188444 | − | 0.369843i | −0.0522651 | − | 0.102576i | 0.863397 | − | 0.504526i | \(-0.168333\pi\) |
−0.915662 | + | 0.401950i | \(0.868333\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.09545 | − | 3.71483i | −0.282844 | − | 0.959166i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −7.50930 | + | 1.18936i | −1.82127 | + | 0.288461i | −0.971211 | − | 0.238222i | \(-0.923436\pi\) |
−0.850062 | + | 0.526683i | \(0.823436\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.68725 | − | 3.69868i | 0.616497 | − | 0.848536i | −0.380595 | − | 0.924742i | \(-0.624281\pi\) |
0.997092 | + | 0.0762063i | \(0.0242808\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.81918 | + | 5.81471i | −0.833414 | + | 1.26887i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.153636 | − | 0.301528i | 0.0320354 | − | 0.0628730i | −0.874434 | − | 0.485144i | \(-0.838767\pi\) |
0.906469 | + | 0.422271i | \(0.138767\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.93208 | − | 0.821362i | 0.986415 | − | 0.164272i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.98838 | + | 4.25083i | 0.575114 | + | 0.818073i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.836442 | − | 0.607711i | 0.155323 | − | 0.112849i | −0.507409 | − | 0.861705i | \(-0.669397\pi\) |
0.662732 | + | 0.748856i | \(0.269397\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.24457 | − | 1.63078i | −0.403138 | − | 0.292897i | 0.367680 | − | 0.929952i | \(-0.380152\pi\) |
−0.770818 | + | 0.637056i | \(0.780152\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −4.25532 | − | 7.45960i | −0.740756 | − | 1.29855i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −6.85245 | − | 5.80565i | −1.15828 | − | 0.981335i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.31832 | − | 2.20029i | 0.709928 | − | 0.361726i | −0.0614445 | − | 0.998111i | \(-0.519571\pi\) |
0.771372 | + | 0.636384i | \(0.219571\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.561068 | + | 0.449541i | −0.0898428 | + | 0.0719842i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.67438 | + | 1.84372i | 0.886189 | + | 0.287940i | 0.716525 | − | 0.697562i | \(-0.245732\pi\) |
0.169664 | + | 0.985502i | \(0.445732\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.46472 | − | 2.46472i | 0.375866 | − | 0.375866i | −0.493742 | − | 0.869608i | \(-0.664371\pi\) |
0.869608 | + | 0.493742i | \(0.164371\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −5.91569 | + | 3.16301i | −0.881859 | + | 0.471513i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.21046 | + | 7.64252i | −0.176563 | + | 1.11478i | 0.727100 | + | 0.686532i | \(0.240868\pi\) |
−0.903663 | + | 0.428245i | \(0.859132\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 9.13235i | 1.30462i | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.65532 | + | 12.3183i | 0.651875 | + | 1.72491i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 8.21858 | + | 1.30170i | 1.12891 | + | 0.178802i | 0.692826 | − | 0.721105i | \(-0.256365\pi\) |
0.436083 | + | 0.899906i | \(0.356365\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.2262 | − | 4.28346i | 1.37889 | − | 0.577581i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −7.21721 | − | 3.25831i | −0.955942 | − | 0.431573i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.09959 | + | 9.53955i | −0.403532 | + | 1.24194i | 0.518583 | + | 0.855028i | \(0.326460\pi\) |
−0.922115 | + | 0.386917i | \(0.873540\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.00345 | + | 9.24368i | 0.384553 | + | 1.18353i | 0.936804 | + | 0.349855i | \(0.113769\pi\) |
−0.552251 | + | 0.833678i | \(0.686231\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 11.2038 | + | 4.43473i | 1.41154 | + | 0.558724i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.488099 | − | 0.789452i | −0.0605412 | − | 0.0979195i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.15518 | + | 7.29349i | 0.141127 | + | 0.891041i | 0.952062 | + | 0.305905i | \(0.0989590\pi\) |
−0.810935 | + | 0.585136i | \(0.801041\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.565381 | − | 0.154644i | −0.0680639 | − | 0.0186169i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.25910 | − | 1.73301i | −0.149428 | − | 0.205670i | 0.727741 | − | 0.685852i | \(-0.240570\pi\) |
−0.877169 | + | 0.480182i | \(0.840570\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 12.7520 | + | 6.49745i | 1.49250 | + | 0.760469i | 0.994303 | − | 0.106592i | \(-0.0339940\pi\) |
0.498201 | + | 0.867061i | \(0.333994\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −3.12577 | − | 8.07648i | −0.360933 | − | 0.932592i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −17.7443 | − | 9.04119i | −2.02216 | − | 1.03034i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.46331 | − | 6.14322i | −0.502162 | − | 0.691166i | 0.480411 | − | 0.877043i | \(-0.340487\pi\) |
−0.982573 | + | 0.185877i | \(0.940487\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.15976 | − | 6.56181i | 0.684417 | − | 0.729090i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.02557 | − | 6.47518i | −0.112571 | − | 0.710743i | −0.977827 | − | 0.209414i | \(-0.932844\pi\) |
0.865256 | − | 0.501329i | \(-0.167156\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −16.5150 | + | 4.03432i | −1.79130 | + | 0.437583i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.32456 | − | 1.20515i | −0.142008 | − | 0.129206i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.13129 | + | 12.7148i | 0.437916 | + | 1.34777i | 0.890069 | + | 0.455826i | \(0.150656\pi\) |
−0.452153 | + | 0.891941i | \(0.649344\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.515190 | + | 1.58559i | −0.0540066 | + | 0.166215i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.97733 | + | 4.37982i | −0.205040 | + | 0.454166i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 5.30680 | − | 8.73760i | 0.544466 | − | 0.896458i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.19961 | + | 0.348384i | 0.223337 | + | 0.0353730i | 0.267100 | − | 0.963669i | \(-0.413935\pi\) |
−0.0437632 | + | 0.999042i | \(0.513935\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −11.1569 | + | 9.83788i | −1.12131 | + | 0.988744i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 12.5854i | − | 1.25230i | −0.779704 | − | 0.626149i | \(-0.784630\pi\) | ||
0.779704 | − | 0.626149i | \(-0.215370\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.211229 | − | 1.33365i | 0.0208130 | − | 0.131408i | −0.975094 | − | 0.221792i | \(-0.928809\pi\) |
0.995907 | + | 0.0903839i | \(0.0288094\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −7.43931 | + | 13.6617i | −0.726002 | + | 1.33324i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 2.51075 | − | 2.51075i | 0.242723 | − | 0.242723i | −0.575253 | − | 0.817976i | \(-0.695096\pi\) |
0.817976 | + | 0.575253i | \(0.195096\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −10.8158 | − | 3.51428i | −1.03597 | − | 0.336607i | −0.258822 | − | 0.965925i | \(-0.583334\pi\) |
−0.777148 | + | 0.629318i | \(0.783334\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.24889 | − | 6.55109i | −0.498203 | − | 0.621802i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −6.91215 | + | 3.52192i | −0.650240 | + | 0.331314i | −0.747808 | − | 0.663915i | \(-0.768894\pi\) |
0.0975678 | + | 0.995229i | \(0.468894\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.286804 | − | 0.700258i | 0.0267446 | − | 0.0652994i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.959555 | + | 0.793669i | 0.0887108 | + | 0.0733747i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 24.7051 | + | 17.9493i | 2.26471 | + | 1.64541i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.9900 | − | 7.98474i | 0.999095 | − | 0.725885i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.13355 | − | 10.2717i | 0.102209 | − | 0.926172i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 10.8396 | − | 2.73930i | 0.969520 | − | 0.245011i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.79185 | − | 17.2550i | 0.780151 | − | 1.53113i | −0.0657772 | − | 0.997834i | \(-0.520953\pi\) |
0.845928 | − | 0.533297i | \(-0.179047\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −5.04618 | − | 3.31440i | −0.444291 | − | 0.291816i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.96392 | + | 2.70310i | −0.171588 | + | 0.236171i | −0.886147 | − | 0.463405i | \(-0.846628\pi\) |
0.714558 | + | 0.699576i | \(0.246628\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −18.1367 | + | 2.87257i | −1.57265 | + | 0.249083i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 7.44287 | + | 8.92209i | 0.640581 | + | 0.767891i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −1.08309 | − | 2.12568i | −0.0925343 | − | 0.181609i | 0.840100 | − | 0.542431i | \(-0.182496\pi\) |
−0.932635 | + | 0.360822i | \(0.882496\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.62858 | + | 0.529159i | −0.138135 | + | 0.0448827i | −0.377268 | − | 0.926104i | \(-0.623137\pi\) |
0.239134 | + | 0.970987i | \(0.423137\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 13.3873 | − | 0.631928i | 1.12742 | − | 0.0532179i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.45530 | − | 1.45530i | −0.121698 | − | 0.121698i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.75198 | − | 1.50841i | 0.145494 | − | 0.125266i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 15.4889 | − | 3.20832i | 1.27750 | − | 0.264617i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −7.67808 | −0.629012 | −0.314506 | − | 0.949255i | \(-0.601839\pi\) | ||||
−0.314506 | + | 0.949255i | \(0.601839\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −18.9987 | −1.54609 | −0.773045 | − | 0.634352i | \(-0.781267\pi\) | ||||
−0.773045 | + | 0.634352i | \(0.781267\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 19.2569 | − | 12.2232i | 1.55683 | − | 0.988190i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.30248 | − | 3.22048i | −0.425906 | − | 0.258675i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.65415 | − | 3.65415i | −0.291633 | − | 0.291633i | 0.546092 | − | 0.837725i | \(-0.316115\pi\) |
−0.837725 | + | 0.546092i | \(0.816115\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.679559 | − | 14.3964i | −0.0538926 | − | 1.14171i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.29271 | + | 0.420028i | −0.101880 | + | 0.0331029i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.70981 | + | 3.35569i | 0.133923 | + | 0.262838i | 0.948223 | − | 0.317606i | \(-0.102879\pi\) |
−0.814300 | + | 0.580444i | \(0.802879\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −10.8575 | − | 15.8392i | −0.845258 | − | 1.23308i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −3.33491 | + | 0.528199i | −0.258063 | + | 0.0408732i | −0.284126 | − | 0.958787i | \(-0.591703\pi\) |
0.0260621 | + | 0.999660i | \(0.491703\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.53994 | − | 10.3778i | 0.579995 | − | 0.798295i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.99074 | + | 13.3854i | −0.228708 | + | 1.02361i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −5.42968 | + | 10.6563i | −0.412811 | + | 0.810187i | 0.587189 | + | 0.809450i | \(0.300235\pi\) |
−1.00000 | 0.000736755i | \(0.999765\pi\) | ||||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −16.3403 | − | 11.6748i | −1.23521 | − | 0.882535i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 17.2685 | + | 1.90568i | 1.29798 | + | 0.143240i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.75204 | + | 1.27293i | −0.130954 | + | 0.0951434i | −0.651334 | − | 0.758791i | \(-0.725790\pi\) |
0.520380 | + | 0.853935i | \(0.325790\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.486921 | − | 0.353769i | −0.0361925 | − | 0.0262954i | 0.569542 | − | 0.821962i | \(-0.307121\pi\) |
−0.605734 | + | 0.795667i | \(0.707121\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 14.6226 | − | 8.34143i | 1.08093 | − | 0.616616i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 9.21772 | − | 5.69909i | 0.677700 | − | 0.419005i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −33.5885 | + | 17.1142i | −2.45623 | + | 1.25151i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.58549 | − | 20.5601i | 0.260806 | − | 1.49553i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −20.1158 | − | 6.53603i | −1.45553 | − | 0.472931i | −0.528829 | − | 0.848728i | \(-0.677369\pi\) |
−0.926702 | + | 0.375798i | \(0.877369\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.525247 | − | 0.525247i | 0.0378081 | − | 0.0378081i | −0.687950 | − | 0.725758i | \(-0.741489\pi\) |
0.725758 | + | 0.687950i | \(0.241489\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.16747 | + | 1.10518i | −0.0836045 | + | 0.0791439i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 0.380297 | − | 2.40110i | 0.0270950 | − | 0.171071i | −0.970430 | − | 0.241382i | \(-0.922399\pi\) |
0.997525 | + | 0.0703111i | \(0.0223992\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 26.6540i | 1.88945i | 0.327865 | + | 0.944725i | \(0.393671\pi\) | ||||
−0.327865 | + | 0.944725i | \(0.606329\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 11.9643 | − | 4.52153i | 0.843895 | − | 0.318924i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −4.10154 | − | 0.649620i | −0.287872 | − | 0.0455944i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 12.9849 | + | 3.06293i | 0.906905 | + | 0.213924i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.0636573 | + | 1.01324i | −0.00442449 | + | 0.0704252i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 7.00490 | − | 21.5589i | 0.484539 | − | 1.49126i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.55687 | − | 7.86925i | −0.176022 | − | 0.541741i | 0.823656 | − | 0.567089i | \(-0.191931\pi\) |
−0.999679 | + | 0.0253480i | \(0.991931\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −2.49692 | + | 2.74433i | −0.171086 | + | 0.188038i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 5.03831 | − | 5.94676i | 0.343610 | − | 0.405565i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.74324 | + | 11.0064i | 0.118339 | + | 0.747163i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 6.54005 | − | 23.9106i | 0.441936 | − | 1.61573i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.85496 | + | 2.55313i | 0.124778 | + | 0.171742i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.3838 | − | 5.80036i | −0.762319 | − | 0.388421i | 0.0291937 | − | 0.999574i | \(-0.490706\pi\) |
−0.791513 | + | 0.611153i | \(0.790706\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −12.6000 | + | 8.13884i | −0.839998 | + | 0.542589i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 21.6298 | + | 11.0209i | 1.43562 | + | 0.731484i | 0.986770 | − | 0.162124i | \(-0.0518346\pi\) |
0.448848 | + | 0.893608i | \(0.351835\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.36425 | + | 6.00687i | 0.288398 | + | 0.396945i | 0.928493 | − | 0.371350i | \(-0.121105\pi\) |
−0.640095 | + | 0.768296i | \(0.721105\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −9.10047 | + | 33.2715i | −0.598767 | + | 2.18911i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.77715 | + | 17.5342i | 0.181937 | + | 1.14871i | 0.894490 | + | 0.447087i | \(0.147539\pi\) |
−0.712553 | + | 0.701618i | \(0.752461\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.28902 | + | 17.2541i | −0.0840865 | + | 1.12554i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −8.85118 | + | 9.72819i | −0.574946 | + | 0.631914i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −0.224620 | − | 0.691308i | −0.0145294 | − | 0.0447170i | 0.943529 | − | 0.331290i | \(-0.107484\pi\) |
−0.958058 | + | 0.286573i | \(0.907484\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.44165 | + | 13.6700i | −0.286112 | + | 0.880561i | 0.699951 | + | 0.714190i | \(0.253205\pi\) |
−0.986063 | + | 0.166371i | \(0.946795\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −13.2932 | − | 8.14199i | −0.852756 | − | 0.522309i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.68299 | + | 20.3511i | 0.107522 | + | 1.30018i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.87433 | − | 0.296864i | −0.119261 | − | 0.0188890i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −10.6219 | + | 4.01423i | −0.673137 | + | 0.254391i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 10.6776i | − | 0.673961i | −0.941512 | − | 0.336981i | \(-0.890594\pi\) | ||
0.941512 | − | 0.336981i | \(-0.109406\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.262488 | − | 1.65729i | 0.0165025 | − | 0.104193i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 12.6443 | + | 26.5929i | 0.791819 | + | 1.66531i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −9.29989 | + | 9.29989i | −0.580111 | + | 0.580111i | −0.934934 | − | 0.354822i | \(-0.884541\pi\) |
0.354822 | + | 0.934934i | \(0.384541\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −18.5135 | − | 6.01541i | −1.15037 | − | 0.373779i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.57866 | + | 2.66990i | −0.0977163 | + | 0.165263i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −23.1320 | + | 11.7863i | −1.42638 | + | 0.726776i | −0.985322 | − | 0.170704i | \(-0.945396\pi\) |
−0.441055 | + | 0.897480i | \(0.645396\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 18.5547 | + | 1.38618i | 1.13980 | + | 0.0851525i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 20.1135 | − | 11.4738i | 1.23093 | − | 0.702182i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −13.6649 | − | 9.92811i | −0.833162 | − | 0.605328i | 0.0872901 | − | 0.996183i | \(-0.472179\pi\) |
−0.920452 | + | 0.390855i | \(0.872179\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.7884 | − | 9.29128i | 0.776837 | − | 0.564405i | −0.127191 | − | 0.991878i | \(-0.540596\pi\) |
0.904028 | + | 0.427473i | \(0.140596\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.87023 | + | 0.316748i | 0.173714 | + | 0.0191704i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 21.9992 | − | 11.4301i | 1.32660 | − | 0.689260i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.77059 | − | 15.2506i | 0.466890 | − | 0.916323i | −0.530742 | − | 0.847534i | \(-0.678087\pi\) |
0.997631 | − | 0.0687889i | \(-0.0219135\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 8.12305 | + | 1.81496i | 0.486314 | + | 0.108659i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 16.0338 | − | 22.0687i | 0.956499 | − | 1.31651i | 0.00791912 | − | 0.999969i | \(-0.497479\pi\) |
0.948580 | − | 0.316539i | \(-0.102521\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.01460 | + | 0.477465i | −0.179199 | + | 0.0283824i | −0.245389 | − | 0.969425i | \(-0.578916\pi\) |
0.0661898 | + | 0.997807i | \(0.478916\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −16.6837 | − | 5.93096i | −0.988259 | − | 0.351320i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −10.8795 | − | 21.3522i | −0.642195 | − | 1.26038i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 38.8070 | − | 12.6092i | 2.28277 | − | 0.741716i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.181876 | − | 3.85304i | −0.0106618 | − | 0.225869i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 10.5577 | + | 10.5577i | 0.616788 | + | 0.616788i | 0.944706 | − | 0.327918i | \(-0.106347\pi\) |
−0.327918 | + | 0.944706i | \(0.606347\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.14928 | + | 21.8297i | −0.299802 | + | 1.27098i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 20.6051 | + | 15.4664i | 1.19563 | + | 0.897454i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.140470 | −0.00812359 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −14.0001 | −0.806953 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −21.3455 | + | 4.42143i | −1.22627 | + | 0.254005i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 8.39659 | + | 20.0457i | 0.480787 | + | 1.14781i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.3293 | + | 17.3293i | 0.989033 | + | 0.989033i | 0.999941 | − | 0.0109073i | \(-0.00347197\pi\) |
−0.0109073 | + | 0.999941i | \(0.503472\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.33614 | + | 0.110273i | −0.132898 | + | 0.00627324i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −4.35394 | + | 1.41468i | −0.246889 | + | 0.0802191i | −0.429847 | − | 0.902902i | \(-0.641433\pi\) |
0.182958 | + | 0.983121i | \(0.441433\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.00451 | − | 7.85929i | −0.226348 | − | 0.444233i | 0.749703 | − | 0.661774i | \(-0.230196\pi\) |
−0.976051 | + | 0.217541i | \(0.930196\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 25.7844 | + | 7.81789i | 1.45279 | + | 0.440488i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −17.3151 | + | 2.74245i | −0.972515 | + | 0.154031i | −0.622420 | − | 0.782683i | \(-0.713851\pi\) |
−0.350095 | + | 0.936714i | \(0.613851\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.01319 | − | 4.14731i | 0.168707 | − | 0.232205i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −5.14041 | − | 3.37629i | −0.286910 | − | 0.188446i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −15.7803 | + | 30.9706i | −0.878040 | + | 1.72325i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.23320 | − | 1.66931i | −0.0684054 | − | 0.0925967i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.16064 | + | 19.5788i | −0.119484 | + | 1.08271i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 25.1434 | − | 18.2677i | 1.38620 | − | 1.00713i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.7358 | + | 9.25307i | 0.700020 | + | 0.508595i | 0.879939 | − | 0.475087i | \(-0.157583\pi\) |
−0.179918 | + | 0.983682i | \(0.557583\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −9.26696 | + | 11.2039i | −0.507826 | + | 0.613967i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3.91837 | + | 16.0404i | 0.214084 | + | 0.876379i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.48017 | − | 1.77323i | 0.189577 | − | 0.0965942i | −0.356626 | − | 0.934247i | \(-0.616073\pi\) |
0.546203 | + | 0.837653i | \(0.316073\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 8.40167 | + | 10.4860i | 0.456316 | + | 0.569524i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −13.0832 | − | 4.25098i | −0.708493 | − | 0.230203i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.05609 | − | 6.05609i | 0.326998 | − | 0.326998i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.28843 | − | 0.240424i | −0.0693667 | − | 0.0129440i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 0.587119 | − | 3.70692i | 0.0315182 | − | 0.198998i | −0.966905 | − | 0.255138i | \(-0.917879\pi\) |
0.998423 | + | 0.0561397i | \(0.0178792\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.9374i | 0.692525i | 0.938138 | + | 0.346262i | \(0.112549\pi\) | ||||
−0.938138 | + | 0.346262i | \(0.887451\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.00900 | − | 1.90628i | 0.0538562 | − | 0.101750i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −26.1583 | − | 4.14307i | −1.39227 | − | 0.220513i | −0.585159 | − | 0.810919i | \(-0.698968\pi\) |
−0.807107 | + | 0.590405i | \(0.798968\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.12523 | − | 3.62990i | −0.165870 | − | 0.192655i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 21.7636 | − | 48.2068i | 1.15185 | − | 2.55137i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −1.48360 | + | 4.56607i | −0.0783016 | + | 0.240988i | −0.982543 | − | 0.186033i | \(-0.940437\pi\) |
0.904242 | + | 0.427021i | \(0.140437\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.587610 | − | 1.80848i | −0.0309269 | − | 0.0951831i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −17.4034 | − | 15.8345i | −0.913444 | − | 0.831096i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 29.6147 | + | 12.1293i | 1.55010 | + | 0.634875i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4.19594 | + | 26.4921i | 0.219026 | + | 1.38288i | 0.814808 | + | 0.579731i | \(0.196842\pi\) |
−0.595782 | + | 0.803146i | \(0.703158\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −17.8196 | + | 1.68605i | −0.927651 | + | 0.0877721i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −19.6447 | − | 27.0386i | −1.01990 | − | 1.40377i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.97876 | + | 1.51776i | 0.154234 | + | 0.0785864i | 0.529404 | − | 0.848370i | \(-0.322416\pi\) |
−0.375170 | + | 0.926956i | \(0.622416\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −8.45407 | − | 17.4221i | −0.436566 | − | 0.899672i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.382380 | − | 0.194832i | −0.0196936 | − | 0.0100344i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.47681 | − | 2.03266i | −0.0758588 | − | 0.104411i | 0.769401 | − | 0.638766i | \(-0.220555\pi\) |
−0.845260 | + | 0.534355i | \(0.820555\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −32.3540 | − | 8.84950i | −1.65754 | − | 0.453373i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.45004 | + | 9.15521i | 0.0740938 | + | 0.467810i | 0.996639 | + | 0.0819203i | \(0.0261053\pi\) |
−0.922545 | + | 0.385889i | \(0.873895\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −41.2088 | − | 16.8779i | −2.10019 | − | 0.860175i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −3.84859 | + | 9.72295i | −0.195635 | + | 0.494245i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −3.53033 | − | 10.8652i | −0.178995 | − | 0.550890i | 0.820798 | − | 0.571218i | \(-0.193529\pi\) |
−0.999793 | + | 0.0203282i | \(0.993529\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.795077 | + | 2.44700i | −0.0402088 | + | 0.123750i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 5.27454 | + | 2.38127i | 0.266066 | + | 0.120119i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −11.0784 | − | 12.8674i | −0.557417 | − | 0.647429i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −9.67691 | − | 1.53267i | −0.485670 | − | 0.0769226i | −0.0912023 | − | 0.995832i | \(-0.529071\pi\) |
−0.394468 | + | 0.918910i | \(0.629071\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 11.2437 | + | 29.7515i | 0.562888 | + | 1.48944i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 27.1537i | 1.35599i | 0.735066 | + | 0.677996i | \(0.237151\pi\) | ||||
−0.735066 | + | 0.677996i | \(0.762849\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.180155 | + | 1.13745i | −0.00897414 | + | 0.0566605i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 12.5175 | − | 15.7579i | 0.622000 | − | 0.783017i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 16.9922 | − | 16.9922i | 0.842271 | − | 0.842271i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −30.0764 | − | 9.77241i | −1.48718 | − | 0.483215i | −0.550932 | − | 0.834550i | \(-0.685728\pi\) |
−0.936250 | + | 0.351335i | \(0.885728\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −3.22475 | + | 2.58374i | −0.159065 | + | 0.127447i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 35.8964 | − | 18.2902i | 1.76635 | − | 0.900000i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.47874 | − | 14.2407i | −0.170765 | − | 0.699047i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1.46962 | + | 2.57626i | 0.0719677 | + | 0.126160i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −13.3040 | − | 9.66590i | −0.649941 | − | 0.472210i | 0.213310 | − | 0.976985i | \(-0.431576\pi\) |
−0.863251 | + | 0.504775i | \(0.831576\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.1129 | − | 8.07400i | 0.541610 | − | 0.393503i | −0.283073 | − | 0.959098i | \(-0.591354\pi\) |
0.824683 | + | 0.565596i | \(0.191354\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −5.77493 | − | 22.4836i | −0.280787 | − | 1.09319i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −36.0595 | + | 12.0338i | −1.74914 | + | 0.583727i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 17.7229 | − | 34.7831i | 0.857670 | − | 1.68327i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.95699 | + | 2.97952i | −0.0944843 | + | 0.143852i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 2.67787 | − | 3.68577i | 0.128989 | − | 0.177537i | −0.739638 | − | 0.673005i | \(-0.765003\pi\) |
0.868626 | + | 0.495468i | \(0.165003\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 21.2003 | − | 3.35781i | 1.01882 | − | 0.161366i | 0.375389 | − | 0.926867i | \(-0.377509\pi\) |
0.643434 | + | 0.765501i | \(0.277509\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −3.17383 | − | 2.44153i | −0.152173 | − | 0.117062i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.702398 | − | 1.37853i | −0.0336003 | − | 0.0659442i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.5185 | − | 3.41768i | 0.502022 | − | 0.163117i | −0.0470490 | − | 0.998893i | \(-0.514982\pi\) |
0.549071 | + | 0.835776i | \(0.314982\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −10.8829 | − | 25.1428i | −0.518234 | − | 1.19728i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 11.3624 | + | 11.3624i | 0.539846 | + | 0.539846i | 0.923484 | − | 0.383638i | \(-0.125329\pi\) |
−0.383638 | + | 0.923484i | \(0.625329\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.5496 | + | 27.5731i | 0.547505 | + | 1.30709i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.69741 | + | 13.0224i | 0.127583 | + | 0.615938i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 16.5317 | 0.780178 | 0.390089 | − | 0.920777i | \(-0.372444\pi\) | ||||
0.390089 | + | 0.920777i | \(0.372444\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 29.5830 | 1.39301 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 6.67448 | + | 32.2226i | 0.313595 | + | 1.51395i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.855873 | + | 3.62837i | −0.0401240 | + | 0.170101i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −16.5635 | − | 16.5635i | −0.774807 | − | 0.774807i | 0.204136 | − | 0.978943i | \(-0.434562\pi\) |
−0.978943 | + | 0.204136i | \(0.934562\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −27.4964 | − | 28.3665i | −1.28342 | − | 1.32404i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −14.5158 | + | 4.71648i | −0.676070 | + | 0.219669i | −0.626874 | − | 0.779121i | \(-0.715666\pi\) |
−0.0491963 | + | 0.998789i | \(0.515666\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.93184 | − | 3.79146i | −0.0897804 | − | 0.176204i | 0.841750 | − | 0.539868i | \(-0.181526\pi\) |
−0.931530 | + | 0.363664i | \(0.881526\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3.59925 | + | 10.1247i | −0.166911 | + | 0.469520i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 30.6114 | − | 4.84837i | 1.41653 | − | 0.224356i | 0.599233 | − | 0.800575i | \(-0.295472\pi\) |
0.817295 | + | 0.576219i | \(0.195472\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 17.4334 | − | 23.9951i | 0.805001 | − | 1.10799i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.91387 | + | 7.48137i | −0.226419 | + | 0.344723i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 7.84621 | − | 15.3990i | 0.360769 | − | 0.708049i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10.2158 | − | 20.4494i | 0.468731 | − | 0.938282i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −24.1783 | + | 6.21022i | −1.10705 | + | 0.284346i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −23.7090 | + | 17.2256i | −1.08329 | + | 0.787059i | −0.978254 | − | 0.207409i | \(-0.933497\pi\) |
−0.105039 | + | 0.994468i | \(0.533497\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.62753 | − | 1.18247i | −0.0742088 | − | 0.0539159i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.16654 | + | 2.04494i | 0.0530792 | + | 0.0930482i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 4.96595 | + | 0.370996i | 0.225492 | + | 0.0168460i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 18.5821 | − | 9.46803i | 0.842033 | − | 0.429037i | 0.0209053 | − | 0.999781i | \(-0.493345\pi\) |
0.821128 | + | 0.570744i | \(0.193345\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 5.09073 | − | 4.07882i | 0.230211 | − | 0.184451i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.67143 | + | 2.81752i | 0.391336 | + | 0.127153i | 0.498074 | − | 0.867134i | \(-0.334041\pi\) |
−0.106738 | + | 0.994287i | \(0.534041\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.55831 | + | 5.55831i | −0.250334 | + | 0.250334i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −23.0497 | + | 23.9794i | −1.03601 | + | 1.07780i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.34593 | + | 8.49789i | −0.0603734 | + | 0.381183i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 9.70109i | − | 0.434280i | −0.976140 | − | 0.217140i | \(-0.930327\pi\) | ||
0.976140 | − | 0.217140i | \(-0.0696729\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 2.06745 | + | 5.47061i | 0.0923669 | + | 0.244409i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 8.01914 | + | 1.27011i | 0.357556 | + | 0.0566313i | 0.332628 | − | 0.943058i | \(-0.392065\pi\) |
0.0249274 | + | 0.999689i | \(0.492065\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.31936 | − | 28.0461i | −0.103210 | − | 1.24804i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −20.2502 | − | 9.14222i | −0.899342 | − | 0.406020i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 11.1835 | − | 34.4193i | 0.495700 | − | 1.52561i | −0.320163 | − | 0.947362i | \(-0.603738\pi\) |
0.815863 | − | 0.578245i | \(-0.196262\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −17.7634 | − | 54.6703i | −0.785809 | − | 2.41847i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 23.7530 | + | 0.369972i | 1.04872 | + | 0.0163347i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0.224939 | − | 3.01091i | 0.00991198 | − | 0.132676i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.00177 | + | 37.8937i | 0.263958 | + | 1.66656i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 19.9812 | + | 5.46528i | 0.877077 | + | 0.239899i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −9.60734 | − | 13.2234i | −0.420905 | − | 0.579326i | 0.544930 | − | 0.838481i | \(-0.316556\pi\) |
−0.965836 | + | 0.259155i | \(0.916556\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −9.11004 | − | 4.64180i | −0.398354 | − | 0.202972i | 0.243325 | − | 0.969945i | \(-0.421762\pi\) |
−0.641679 | + | 0.766973i | \(0.721762\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −14.0605 | + | 31.8155i | −0.613651 | + | 1.38854i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 18.7948 | + | 9.57641i | 0.818713 | + | 0.417155i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.4517 | + | 18.5147i | 0.584859 | + | 0.804989i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −2.83452 | − | 29.9576i | −0.123008 | − | 1.30005i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.387419 | − | 2.44607i | −0.0167810 | − | 0.105951i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.13240 | − | 6.05781i | 0.221893 | − | 0.261902i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 2.77447 | + | 2.52435i | 0.119727 | + | 0.108934i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 13.9925 | + | 43.0645i | 0.602699 | + | 1.85492i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.41906 | − | 16.6781i | 0.232983 | − | 0.717049i | −0.764399 | − | 0.644743i | \(-0.776964\pi\) |
0.997383 | − | 0.0723059i | \(-0.0230358\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.428947 | + | 0.950125i | −0.0184079 | + | 0.0407738i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −24.7503 | − | 5.83819i | −1.06019 | − | 0.250081i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 16.0041 | + | 2.53481i | 0.684288 | + | 0.108381i | 0.488893 | − | 0.872344i | \(-0.337401\pi\) |
0.195395 | + | 0.980725i | \(0.437401\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −19.2846 | − | 21.8701i | −0.823046 | − | 0.933395i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 4.72680i | − | 0.201369i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.77111 | + | 30.1236i | −0.202888 | + | 1.28099i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −12.9042 | − | 13.6315i | −0.547754 | − | 0.578626i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −0.351406 | + | 0.351406i | −0.0148895 | + | 0.0148895i | −0.714512 | − | 0.699623i | \(-0.753351\pi\) |
0.699623 | + | 0.714512i | \(0.253351\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.37602 | − | 0.447097i | −0.0581995 | − | 0.0189102i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 40.8266 | + | 50.9553i | 1.72370 | + | 2.15133i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −9.57089 | + | 4.87661i | −0.403365 | + | 0.205525i | −0.643890 | − | 0.765118i | \(-0.722680\pi\) |
0.240525 | + | 0.970643i | \(0.422680\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −14.7544 | + | 9.12229i | −0.620722 | + | 0.383777i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −36.1305 | + | 1.14188i | −1.51734 | + | 0.0479546i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 34.5553 | + | 25.1059i | 1.44863 | + | 1.05249i | 0.986148 | + | 0.165865i | \(0.0530417\pi\) |
0.462484 | + | 0.886628i | \(0.346958\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −37.4429 | + | 27.2039i | −1.56694 | + | 1.13845i | −0.636920 | + | 0.770930i | \(0.719792\pi\) |
−0.930017 | + | 0.367517i | \(0.880208\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −4.01846 | + | 36.4136i | −0.167874 | + | 1.52120i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.510082 | − | 1.61335i | 0.0212719 | − | 0.0672814i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.73707 | + | 7.33441i | −0.155576 | + | 0.305335i | −0.955618 | − | 0.294609i | \(-0.904811\pi\) |
0.800042 | + | 0.599944i | \(0.204811\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.07537 | − | 0.706318i | −0.0446909 | − | 0.0293536i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −15.4774 | + | 21.3029i | −0.642113 | + | 0.883792i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 40.7500 | − | 6.45416i | 1.68769 | − | 0.267304i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 2.28459 | + | 1.59182i | 0.0944563 | + | 0.0658138i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −0.885671 | − | 1.73823i | −0.0365556 | − | 0.0717444i | 0.872006 | − | 0.489495i | \(-0.162819\pi\) |
−0.908562 | + | 0.417750i | \(0.862819\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −12.0635 | + | 3.91966i | −0.497066 | + | 0.161507i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −4.20599 | + | 0.198537i | −0.173011 | + | 0.00816671i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −26.3630 | − | 26.3630i | −1.08260 | − | 1.08260i | −0.996266 | − | 0.0863319i | \(-0.972485\pi\) |
−0.0863319 | − | 0.996266i | \(-0.527515\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 58.3621 | + | 35.4464i | 2.39261 | + | 1.45316i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 45.2064 | − | 9.36389i | 1.85017 | − | 0.383239i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −27.2293 | −1.11256 | −0.556280 | − | 0.830995i | \(-0.687772\pi\) | ||||
−0.556280 | + | 0.830995i | \(0.687772\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.707518 | −0.0288602 | −0.0144301 | − | 0.999896i | \(-0.504593\pi\) | ||||
−0.0144301 | + | 0.999896i | \(0.504593\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −11.8719 | − | 18.7035i | −0.483463 | − | 0.761666i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 23.0194 | − | 19.8190i | 0.935871 | − | 0.805758i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −15.7536 | − | 15.7536i | −0.639418 | − | 0.639418i | 0.310994 | − | 0.950412i | \(-0.399338\pi\) |
−0.950412 | + | 0.310994i | \(0.899338\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.339139 | + | 7.18463i | 0.0137426 | + | 0.291136i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3.05464 | − | 0.992512i | 0.123577 | − | 0.0401527i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −7.04615 | − | 13.8288i | −0.284591 | − | 0.558542i | 0.703813 | − | 0.710385i | \(-0.251479\pi\) |
−0.988405 | + | 0.151843i | \(0.951479\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.633098 | − | 23.0991i | 0.0255290 | − | 0.931445i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −30.2739 | + | 4.79492i | −1.21878 | + | 0.193036i | −0.732501 | − | 0.680766i | \(-0.761647\pi\) |
−0.486282 | + | 0.873802i | \(0.661647\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −24.7268 | + | 34.0335i | −0.993852 | + | 1.36792i | −0.0648299 | + | 0.997896i | \(0.520650\pi\) |
−0.929022 | + | 0.370024i | \(0.879350\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.74087 | − | 0.248000i | 0.0698588 | − | 0.00995188i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 24.3781 | − | 47.8446i | 0.976686 | − | 1.91685i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 23.6507 | − | 8.10204i | 0.946029 | − | 0.324082i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −39.0258 | − | 4.30673i | −1.55854 | − | 0.171994i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −29.8106 | + | 21.6587i | −1.18863 | + | 0.863589i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 35.3783 | + | 25.7038i | 1.40839 | + | 1.02325i | 0.993554 | + | 0.113357i | \(0.0361603\pi\) |
0.414834 | + | 0.909897i | \(0.363840\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −12.4484 | + | 7.10115i | −0.494778 | + | 0.282246i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 16.4124 | − | 40.0723i | 0.651306 | − | 1.59022i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.37753 | − | 1.72094i | 0.133823 | − | 0.0681861i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 5.53171 | + | 3.27078i | 0.218831 | + | 0.129390i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 41.9572 | + | 13.6327i | 1.65721 | + | 0.538460i | 0.980284 | − | 0.197593i | \(-0.0633125\pi\) |
0.676924 | + | 0.736053i | \(0.263313\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21.6567 | + | 21.6567i | −0.854057 | + | 0.854057i | −0.990630 | − | 0.136573i | \(-0.956391\pi\) |
0.136573 | + | 0.990630i | \(0.456391\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −11.8560 | − | 6.45605i | −0.466830 | − | 0.254207i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 4.83284 | − | 30.5133i | 0.189998 | − | 1.19960i | −0.689709 | − | 0.724087i | \(-0.742261\pi\) |
0.879707 | − | 0.475516i | \(-0.157739\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 49.7338i | 1.95222i | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 18.0550 | − | 6.82332i | 0.707629 | − | 0.267427i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −29.5562 | − | 4.68124i | −1.15662 | − | 0.183191i | −0.451497 | − | 0.892272i | \(-0.649110\pi\) |
−0.705127 | + | 0.709081i | \(0.749110\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.87836 | + | 6.38569i | −0.151540 | + | 0.249510i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −42.8511 | − | 2.69214i | −1.67178 | − | 0.105030i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −3.30930 | + | 10.1850i | −0.128912 | + | 0.396750i | −0.994594 | − | 0.103845i | \(-0.966885\pi\) |
0.865682 | + | 0.500595i | \(0.166885\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.67556 | + | 26.7006i | 0.337440 | + | 1.03853i | 0.965507 | + | 0.260375i | \(0.0838463\pi\) |
−0.628067 | + | 0.778159i | \(0.716154\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 3.67856 | − | 4.04305i | 0.142864 | − | 0.157019i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −39.8875 | + | 9.74380i | −1.54677 | + | 0.377848i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.0547341 | − | 0.345578i | −0.00211931 | − | 0.0133808i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −5.83839 | + | 21.3453i | −0.225725 | + | 0.825257i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 28.3262 | + | 38.9876i | 1.09352 | + | 1.50510i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −22.9797 | − | 11.7087i | −0.885803 | − | 0.451339i | −0.0489715 | − | 0.998800i | \(-0.515594\pi\) |
−0.836831 | + | 0.547461i | \(0.815594\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 18.2304 | + | 18.5109i | 0.701688 | + | 0.712484i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 3.98966 | + | 2.03283i | 0.153335 | + | 0.0781281i | 0.528974 | − | 0.848638i | \(-0.322577\pi\) |
−0.375639 | + | 0.926766i | \(0.622577\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −5.25767 | − | 7.23656i | −0.201771 | − | 0.277714i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 11.0932 | − | 40.5569i | 0.425092 | − | 1.55414i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 4.57286 | + | 28.8719i | 0.174976 | + | 1.10475i | 0.906273 | + | 0.422693i | \(0.138915\pi\) |
−0.731297 | + | 0.682059i | \(0.761085\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.80535 | − | 4.53739i | −0.107187 | − | 0.173365i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 8.65473 | − | 9.51227i | 0.330198 | − | 0.362916i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −1.06732 | − | 3.28488i | −0.0406618 | − | 0.125144i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.71677 | + | 23.7498i | −0.293560 | + | 0.903484i | 0.690141 | + | 0.723674i | \(0.257548\pi\) |
−0.983701 | + | 0.179810i | \(0.942452\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 59.6273 | + | 3.74610i | 2.26505 | + | 0.142303i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −3.53172 | + | 1.47934i | −0.133966 | + | 0.0561146i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −44.8035 | − | 7.09617i | −1.69705 | − | 0.268787i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 28.7632 | − | 10.8702i | 1.08793 | − | 0.411148i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 6.88847i | 0.260174i | 0.991503 | + | 0.130087i | \(0.0415257\pi\) | ||||
−0.991503 | + | 0.130087i | \(0.958474\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.46622 | − | 21.8848i | 0.130731 | − | 0.825402i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 29.7167 | − | 3.87537i | 1.11920 | − | 0.145955i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −35.7439 | + | 35.7439i | −1.34429 | + | 1.34429i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.31523 | − | 1.07719i | −0.124506 | − | 0.0404545i | 0.246101 | − | 0.969244i | \(-0.420850\pi\) |
−0.370607 | + | 0.928790i | \(0.620850\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 19.6090 | + | 11.5944i | 0.735395 | + | 0.434823i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −0.836575 | + | 0.426256i | −0.0313300 | + | 0.0159634i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.51127 | − | 2.97488i | −0.131314 | − | 0.111254i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.09358 | + | 0.623832i | −0.0408405 | + | 0.0232974i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −13.0340 | − | 9.46973i | −0.486085 | − | 0.353161i | 0.317592 | − | 0.948228i | \(-0.397126\pi\) |
−0.803677 | + | 0.595066i | \(0.797126\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.38760 | + | 3.18778i | −0.163403 | + | 0.118719i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 24.7454 | + | 2.73080i | 0.920290 | + | 0.101560i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 3.62624 | − | 3.68430i | 0.134675 | − | 0.136831i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 12.5508 | − | 24.6324i | 0.465484 | − | 0.913564i | −0.532270 | − | 0.846575i | \(-0.678661\pi\) |
0.997754 | − | 0.0669890i | \(-0.0213392\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −9.13914 | + | 25.4062i | −0.338487 | + | 0.940971i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −15.5769 | + | 21.4398i | −0.576132 | + | 0.792978i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 19.6261 | − | 3.10847i | 0.724907 | − | 0.114814i | 0.216933 | − | 0.976186i | \(-0.430395\pi\) |
0.507974 | + | 0.861372i | \(0.330395\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 33.9252 | − | 10.0040i | 1.25135 | − | 0.369005i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 16.6223 | + | 32.6232i | 0.612292 | + | 1.20169i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 40.3184 | − | 13.1002i | 1.48313 | − | 0.481900i | 0.548087 | − | 0.836421i | \(-0.315356\pi\) |
0.935048 | + | 0.354522i | \(0.115356\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.154980 | + | 3.28324i | 0.00569334 | + | 0.120613i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −27.1592 | − | 27.1592i | −0.996375 | − | 0.996375i | 0.00361798 | − | 0.999993i | \(-0.498848\pi\) |
−0.999993 | + | 0.00361798i | \(0.998848\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −17.1103 | + | 1.41499i | −0.626873 | + | 0.0518411i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 10.5399 | + | 16.6050i | 0.385636 | + | 0.607546i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −14.2616 | −0.521106 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.33413 | −0.267626 | −0.133813 | − | 0.991007i | \(-0.542722\pi\) | ||||
−0.133813 | + | 0.991007i | \(0.542722\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −18.1096 | + | 3.75117i | −0.659952 | + | 0.136700i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −42.3378 | + | 3.50125i | −1.54083 | + | 0.127423i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 15.2951 | + | 15.2951i | 0.555911 | + | 0.555911i | 0.928141 | − | 0.372230i | \(-0.121407\pi\) |
−0.372230 | + | 0.928141i | \(0.621407\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −2.90305 | + | 0.137034i | −0.105374 | + | 0.00497402i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 10.8598 | − | 3.52857i | 0.393669 | − | 0.127911i | −0.105492 | − | 0.994420i | \(-0.533642\pi\) |
0.499161 | + | 0.866509i | \(0.333642\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 20.7372 | + | 40.6990i | 0.750736 | + | 1.47340i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 40.6607 | − | 30.7878i | 1.47009 | − | 1.11314i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 4.11224 | − | 0.651314i | 0.148484 | − | 0.0235176i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 13.6293 | − | 18.7591i | 0.491485 | − | 0.676471i | −0.489176 | − | 0.872185i | \(-0.662702\pi\) |
0.980661 | + | 0.195714i | \(0.0627025\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 19.0402 | + | 12.5059i | 0.685717 | + | 0.450388i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 15.7994 | − | 31.0081i | 0.568265 | − | 1.11528i | −0.410799 | − | 0.911726i | \(-0.634750\pi\) |
0.979063 | − | 0.203556i | \(-0.0652499\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −12.4099 | − | 6.19952i | −0.445776 | − | 0.222693i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −3.69838 | + | 33.5131i | −0.132678 | + | 1.20228i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 22.0678 | − | 16.0332i | 0.790661 | − | 0.574449i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.59271 | − | 6.24297i | −0.307471 | − | 0.223391i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 5.08289 | + | 1.73950i | 0.181648 | + | 0.0621648i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −8.81656 | − | 7.46972i | −0.314677 | − | 0.266606i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −38.3652 | + | 19.5480i | −1.36757 | + | 0.696812i | −0.974854 | − | 0.222847i | \(-0.928465\pi\) |
−0.392718 | + | 0.919659i | \(0.628465\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 28.1167 | + | 35.0922i | 1.00098 | + | 1.24932i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 29.6338 | + | 9.62861i | 1.05366 | + | 0.342354i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2.85273 | − | 2.85273i | 0.101303 | − | 0.101303i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −4.16747 | − | 31.9566i | −0.147805 | − | 1.13338i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −5.41838 | + | 34.2103i | −0.191929 | + | 1.21179i | 0.684047 | + | 0.729438i | \(0.260218\pi\) |
−0.875976 | + | 0.482354i | \(0.839782\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 58.8297i | − | 2.08124i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −26.5262 | − | 30.0827i | −0.937257 | − | 1.06292i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 70.0884 | + | 11.1009i | 2.47337 | + | 0.391743i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.80336 | + | 1.17425i | −0.0988053 | + | 0.0413869i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −12.0379 | + | 26.6642i | −0.423754 | + | 0.938623i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −2.65484 | + | 8.17077i | −0.0933393 | + | 0.287269i | −0.986817 | − | 0.161838i | \(-0.948258\pi\) |
0.893478 | + | 0.449107i | \(0.148258\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −6.69438 | − | 20.6032i | −0.235072 | − | 0.723476i | −0.997112 | − | 0.0759463i | \(-0.975802\pi\) |
0.762040 | − | 0.647530i | \(-0.224198\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −20.2512 | − | 18.4255i | −0.710240 | − | 0.646211i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 4.42866 | + | 7.16292i | 0.155129 | + | 0.250906i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.49290 | − | 15.7395i | −0.0872155 | − | 0.550657i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.471132 | − | 4.97933i | −0.0164627 | − | 0.173992i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 26.5748 | + | 36.5770i | 0.927466 | + | 1.27655i | 0.960840 | + | 0.277105i | \(0.0893749\pi\) |
−0.0333736 | + | 0.999443i | \(0.510625\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.87584 | − | 1.46531i | −0.100245 | − | 0.0510776i | 0.403149 | − | 0.915134i | \(-0.367916\pi\) |
−0.503394 | + | 0.864057i | \(0.667916\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −27.1146 | − | 33.2961i | −0.944009 | − | 1.15922i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −18.7516 | − | 9.55443i | −0.652058 | − | 0.332240i | 0.0964773 | − | 0.995335i | \(-0.469242\pi\) |
−0.748535 | + | 0.663095i | \(0.769242\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −32.8299 | − | 45.1864i | −1.14023 | − | 1.56939i | −0.766997 | − | 0.641651i | \(-0.778250\pi\) |
−0.373232 | − | 0.927738i | \(-0.621750\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −28.5957 | − | 7.82154i | −0.991975 | − | 0.271326i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −10.8616 | − | 68.5775i | −0.376333 | − | 2.37607i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −7.33438 | + | 1.79166i | −0.253817 | + | 0.0620029i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.224520 | − | 14.4147i | 0.00776056 | − | 0.498245i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −8.34410 | − | 25.6805i | −0.288070 | − | 0.886590i | −0.985461 | − | 0.169899i | \(-0.945656\pi\) |
0.697391 | − | 0.716691i | \(-0.254344\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.63117 | + | 26.5640i | −0.297627 | + | 0.916000i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −43.0625 | − | 19.4411i | −1.48315 | − | 0.669588i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 14.8899 | − | 24.5161i | 0.512229 | − | 0.843380i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −53.8903 | − | 8.53538i | −1.85169 | − | 0.293279i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 1.86887 | + | 4.94516i | 0.0641395 | + | 0.169718i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 1.64014i | − | 0.0562234i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.65179 | + | 23.0565i | −0.125035 | + | 0.789439i | 0.842869 | + | 0.538119i | \(0.180865\pi\) |
−0.967904 | + | 0.251320i | \(0.919135\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −4.19797 | + | 30.3800i | −0.143568 | + | 1.03898i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 23.9274 | − | 23.9274i | 0.817343 | − | 0.817343i | −0.168379 | − | 0.985722i | \(-0.553853\pi\) |
0.985722 | + | 0.168379i | \(0.0538534\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 12.3998 | + | 4.02894i | 0.423076 | + | 0.137466i | 0.512814 | − | 0.858500i | \(-0.328603\pi\) |
−0.0897381 | + | 0.995965i | \(0.528603\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −32.3922 | + | 25.9534i | −1.10392 | + | 0.884489i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 48.0446 | − | 24.4799i | 1.63546 | − | 0.833307i | 0.637431 | − | 0.770508i | \(-0.279997\pi\) |
0.998026 | − | 0.0627991i | \(-0.0200027\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −10.1360 | + | 24.7479i | −0.344633 | + | 0.841453i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −35.0192 | − | 61.3888i | −1.18931 | − | 2.08487i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −30.4598 | − | 22.1303i | −1.03328 | − | 0.750719i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.47976 | − | 1.80165i | 0.0840234 | − | 0.0610466i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −6.47104 | + | 1.66209i | −0.219011 | + | 0.0562534i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −38.5654 | − | 23.0056i | −1.30375 | − | 0.777730i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 22.3043 | − | 43.7747i | 0.753163 | − | 1.47817i | −0.121062 | − | 0.992645i | \(-0.538630\pi\) |
0.874225 | − | 0.485521i | \(-0.161370\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 14.1973 | − | 21.6155i | 0.478864 | − | 0.729071i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 6.95200 | − | 9.56861i | 0.234219 | − | 0.322375i | −0.675688 | − | 0.737188i | \(-0.736153\pi\) |
0.909907 | + | 0.414813i | \(0.136153\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −20.9091 | + | 3.31167i | −0.703647 | + | 0.111447i | −0.497997 | − | 0.867179i | \(-0.665931\pi\) |
−0.205650 | + | 0.978626i | \(0.565931\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 38.8333 | + | 1.06434i | 1.30537 | + | 0.0357774i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 12.0304 | + | 23.6111i | 0.403943 | + | 0.792782i | 0.999948 | − | 0.0101983i | \(-0.00324627\pi\) |
−0.596005 | + | 0.802981i | \(0.703246\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −73.9756 | + | 24.0361i | −2.48106 | + | 0.806146i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 18.9930 | − | 40.3808i | 0.636289 | − | 1.35281i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 25.0145 | + | 25.0145i | 0.837077 | + | 0.837077i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.66977 | + | 3.15956i | −0.122667 | + | 0.105613i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.0493490 | + | 0.238244i | 0.00164772 | + | 0.00795473i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −2.86850 | −0.0956698 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −63.2640 | −2.10763 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 4.91843 | + | 23.7449i | 0.163675 | + | 0.790180i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −1.15028 | − | 0.698625i | −0.0382366 | − | 0.0232231i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 24.4142 | + | 24.4142i | 0.810659 | + | 0.810659i | 0.984733 | − | 0.174073i | \(-0.0556929\pi\) |
−0.174073 | + | 0.984733i | \(0.555693\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 14.9979 | + | 34.6497i | 0.497450 | + | 1.14926i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 29.3166 | − | 9.52554i | 0.971303 | − | 0.315595i | 0.219961 | − | 0.975509i | \(-0.429407\pi\) |
0.751342 | + | 0.659913i | \(0.229407\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −14.7574 | − | 28.9630i | −0.488397 | − | 0.958534i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 31.0486 | − | 21.2833i | 1.02644 | − | 0.703606i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 13.2548 | − | 2.09936i | 0.437713 | − | 0.0693269i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −15.8783 | + | 21.8546i | −0.523777 | + | 0.720918i | −0.986166 | − | 0.165760i | \(-0.946992\pi\) |
0.462389 | + | 0.886677i | \(0.346992\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 23.3033 | − | 35.4793i | 0.767869 | − | 1.16908i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −0.403669 | + | 0.792245i | −0.0132869 | + | 0.0260771i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 19.4910 | − | 14.3989i | 0.640862 | − | 0.473434i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 1.00774 | + | 3.92346i | 0.0330987 | + | 0.128863i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −8.85751 | + | 6.43535i | −0.290605 | + | 0.211137i | −0.723530 | − | 0.690293i | \(-0.757482\pi\) |
0.432925 | + | 0.901430i | \(0.357482\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 33.7776 | + | 24.5409i | 1.10702 | + | 0.804295i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 3.92896 | + | 6.88749i | 0.128628 | + | 0.225486i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −71.6967 | + | 44.3283i | −2.34473 | + | 1.44969i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 8.29377 | − | 4.22589i | 0.270946 | − | 0.138054i | −0.313239 | − | 0.949674i | \(-0.601414\pi\) |
0.584185 | + | 0.811620i | \(0.301414\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −11.9229 | + | 9.55291i | −0.389089 | + | 0.311747i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 16.5696 | + | 5.38379i | 0.540153 | + | 0.175506i | 0.566372 | − | 0.824150i | \(-0.308347\pi\) |
−0.0262187 | + | 0.999656i | \(0.508347\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.42772 | − | 1.42772i | 0.0464931 | − | 0.0464931i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 4.20111 | − | 46.4781i | 0.136662 | − | 1.51193i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −4.45223 | + | 28.1103i | −0.144678 | + | 0.913462i | 0.803403 | + | 0.595435i | \(0.203020\pi\) |
−0.948082 | + | 0.318027i | \(0.896980\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 5.94063i | − | 0.192841i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 10.7344 | + | 28.4038i | 0.348086 | + | 0.921058i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 10.3056 | + | 1.63224i | 0.333830 | + | 0.0528735i | 0.321099 | − | 0.947045i | \(-0.395948\pi\) |
0.0127306 | + | 0.999919i | \(0.495948\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −46.0319 | − | 10.8582i | −1.48956 | − | 0.351362i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −8.09261 | − | 3.65352i | −0.261597 | − | 0.118101i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −2.96106 | + | 9.11321i | −0.0956177 | + | 0.294281i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −7.20085 | − | 22.1619i | −0.232286 | − | 0.714901i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −3.92046 | + | 9.90452i | −0.126335 | + | 0.319169i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.07370 | − | 1.26729i | 0.0345635 | − | 0.0407955i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.51292 | + | 22.1797i | 0.112968 | + | 0.713251i | 0.977541 | + | 0.210744i | \(0.0675887\pi\) |
−0.864573 | + | 0.502507i | \(0.832411\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 58.0715 | + | 15.8838i | 1.86552 | + | 0.510260i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −11.1728 | − | 15.3781i | −0.358554 | − | 0.493507i | 0.591191 | − | 0.806531i | \(-0.298658\pi\) |
−0.949745 | + | 0.313025i | \(0.898658\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 6.12821 | + | 3.12248i | 0.196461 | + | 0.100102i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −2.39799 | + | 2.67801i | −0.0767973 | + | 0.0857650i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −19.9407 | − | 10.1603i | −0.637958 | − | 0.325056i | 0.104922 | − | 0.994480i | \(-0.466541\pi\) |
−0.742880 | + | 0.669425i | \(0.766541\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 38.9630 | + | 53.6280i | 1.24526 | + | 1.71396i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 33.9657 | − | 3.21375i | 1.08444 | − | 0.102607i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 0.682136 | + | 4.30684i | 0.0217568 | + | 0.137367i | 0.996176 | − | 0.0873723i | \(-0.0278470\pi\) |
−0.974419 | + | 0.224739i | \(0.927847\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.404980 | − | 5.42084i | 0.0129037 | − | 0.172722i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −39.8161 | − | 36.2267i | −1.26736 | − | 1.15311i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −0.364513 | − | 1.12185i | −0.0115908 | − | 0.0356729i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −16.7179 | + | 51.4526i | −0.531063 | + | 1.63444i | 0.220942 | + | 0.975287i | \(0.429087\pi\) |
−0.752005 | + | 0.659157i | \(0.770913\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 11.2194 | − | 24.8512i | 0.356037 | − | 0.788628i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 4.91204 | + | 59.3973i | 0.155722 | + | 1.88302i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −5.05321 | − | 0.800350i | −0.160037 | − | 0.0253473i | 0.0759018 | − | 0.997115i | \(-0.475816\pi\) |
−0.235939 | + | 0.971768i | \(0.575816\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 22.2579 | + | 11.7811i | 0.704208 | + | 0.372739i |
(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 | 300.2.x.a.17.5 | ✓ | 80 | |
3.2 | odd | 2 | inner | 300.2.x.a.17.7 | yes | 80 | |
25.3 | odd | 20 | inner | 300.2.x.a.53.7 | yes | 80 | |
75.53 | even | 20 | inner | 300.2.x.a.53.5 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.x.a.17.5 | ✓ | 80 | 1.1 | even | 1 | trivial | |
300.2.x.a.17.7 | yes | 80 | 3.2 | odd | 2 | inner | |
300.2.x.a.53.5 | yes | 80 | 75.53 | even | 20 | inner | |
300.2.x.a.53.7 | yes | 80 | 25.3 | odd | 20 | inner |