Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [405,2,Mod(8,405)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(405, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("405.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.r (of order \(36\), degree \(12\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.23394128186\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 135) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 152.11 | ||
Character | \(\chi\) | \(=\) | 405.152 |
Dual form | 405.2.r.a.8.11 |
$q$-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 \(\left(\mathbb{Z}/405\mathbb{Z}\right)^\times\).
\(n\) | \(82\) | \(326\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.08817 | + | 0.761943i | 0.769451 | + | 0.538775i | 0.891105 | − | 0.453797i | \(-0.149931\pi\) |
−0.121654 | + | 0.992573i | \(0.538820\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.0804885 | − | 0.221140i | −0.0402443 | − | 0.110570i | ||||
\(5\) | −1.23426 | + | 1.86457i | −0.551976 | + | 0.833860i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.827388 | + | 1.77434i | 0.312723 | + | 0.670638i | 0.998356 | − | 0.0573098i | \(-0.0182523\pi\) |
−0.685633 | + | 0.727947i | \(0.740474\pi\) | |||||||
\(8\) | 0.768546 | − | 2.86825i | 0.271722 | − | 1.01408i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.76377 | + | 1.08853i | −0.873982 | + | 0.344223i | ||||
\(11\) | 2.76562 | + | 3.29594i | 0.833867 | + | 0.993764i | 0.999971 | + | 0.00765542i | \(0.00243682\pi\) |
−0.166104 | + | 0.986108i | \(0.553119\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.90740 | + | 4.15220i | 0.806368 | + | 1.15161i | 0.985814 | + | 0.167844i | \(0.0536806\pi\) |
−0.179446 | + | 0.983768i | \(0.557431\pi\) | |||||||
\(14\) | −0.451609 | + | 2.56120i | −0.120698 | + | 0.684510i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.66120 | − | 2.23301i | 0.665301 | − | 0.558253i | ||||
\(17\) | 0.828434 | + | 3.09176i | 0.200925 | + | 0.749861i | 0.990653 | + | 0.136405i | \(0.0435547\pi\) |
−0.789729 | + | 0.613456i | \(0.789779\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.776109 | + | 0.448087i | −0.178052 | + | 0.102798i | −0.586377 | − | 0.810038i | \(-0.699446\pi\) |
0.408325 | + | 0.912836i | \(0.366113\pi\) | |||||||
\(20\) | 0.511675 | + | 0.122868i | 0.114414 | + | 0.0274740i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.498142 | + | 5.69379i | 0.106204 | + | 1.21392i | ||||
\(23\) | −5.07230 | − | 2.36525i | −1.05765 | − | 0.493189i | −0.185607 | − | 0.982624i | \(-0.559425\pi\) |
−0.872040 | + | 0.489435i | \(0.837203\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.95322 | − | 4.60271i | −0.390645 | − | 0.920541i | ||||
\(26\) | 6.73356i | 1.32056i | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.325783 | − | 0.325783i | 0.0615672 | − | 0.0615672i | ||||
\(29\) | −1.14702 | − | 6.50507i | −0.212996 | − | 1.20796i | −0.884350 | − | 0.466825i | \(-0.845398\pi\) |
0.671354 | − | 0.741137i | \(-0.265713\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.27652 | − | 0.828586i | 0.408875 | − | 0.148818i | −0.129390 | − | 0.991594i | \(-0.541302\pi\) |
0.538266 | + | 0.842775i | \(0.319080\pi\) | |||||||
\(32\) | −1.31900 | + | 0.115398i | −0.233169 | + | 0.0203996i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.45427 | + | 3.99557i | −0.249405 | + | 0.685235i | ||||
\(35\) | −4.32959 | − | 0.647269i | −0.731834 | − | 0.109408i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.96604 | − | 1.86654i | 1.14521 | − | 0.306858i | 0.364166 | − | 0.931334i | \(-0.381354\pi\) |
0.781044 | + | 0.624476i | \(0.214688\pi\) | |||||||
\(38\) | −1.18595 | − | 0.103757i | −0.192387 | − | 0.0168317i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.39947 | + | 4.97316i | 0.695617 | + | 0.786326i | ||||
\(41\) | −8.33680 | − | 1.47000i | −1.30199 | − | 0.229576i | −0.520697 | − | 0.853742i | \(-0.674328\pi\) |
−0.781292 | + | 0.624166i | \(0.785439\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.112459 | − | 1.28541i | 0.0171499 | − | 0.196024i | −0.982787 | − | 0.184745i | \(-0.940854\pi\) |
0.999936 | − | 0.0112790i | \(-0.00359030\pi\) | |||||||
\(44\) | 0.506265 | − | 0.876877i | 0.0763223 | − | 0.132194i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.71732 | − | 6.43859i | −0.548090 | − | 0.949319i | ||||
\(47\) | 7.46943 | − | 3.48305i | 1.08953 | − | 0.508055i | 0.207013 | − | 0.978338i | \(-0.433626\pi\) |
0.882516 | + | 0.470283i | \(0.155848\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.03580 | − | 2.42617i | 0.290829 | − | 0.346596i | ||||
\(50\) | 1.38157 | − | 6.49676i | 0.195383 | − | 0.918781i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.684206 | − | 0.977148i | 0.0948823 | − | 0.135506i | ||||
\(53\) | 0.947342 | + | 0.947342i | 0.130127 | + | 0.130127i | 0.769171 | − | 0.639043i | \(-0.220670\pi\) |
−0.639043 | + | 0.769171i | \(0.720670\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −9.55899 | + | 1.08866i | −1.28893 | + | 0.146794i | ||||
\(56\) | 5.72514 | − | 1.00950i | 0.765054 | − | 0.134900i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.70835 | − | 7.95258i | 0.486930 | − | 1.04422i | ||||
\(59\) | 3.72879 | + | 3.12883i | 0.485447 | + | 0.407339i | 0.852391 | − | 0.522904i | \(-0.175151\pi\) |
−0.366944 | + | 0.930243i | \(0.619596\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.90101 | − | 2.87573i | −1.01162 | − | 0.368200i | −0.217566 | − | 0.976046i | \(-0.569812\pi\) |
−0.794055 | + | 0.607846i | \(0.792034\pi\) | |||||||
\(62\) | 3.10857 | + | 0.832940i | 0.394789 | + | 0.105783i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.54029 | − | 4.35339i | −0.942536 | − | 0.544173i | ||||
\(65\) | −11.3305 | + | 0.296169i | −1.40538 | + | 0.0367352i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.90560 | + | 5.53556i | −0.965822 | + | 0.676276i | −0.946217 | − | 0.323532i | \(-0.895130\pi\) |
−0.0196049 | + | 0.999808i | \(0.506241\pi\) | |||||||
\(68\) | 0.617033 | − | 0.432051i | 0.0748262 | − | 0.0523939i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −4.21814 | − | 4.00324i | −0.504164 | − | 0.478478i | ||||
\(71\) | −4.92123 | − | 2.84127i | −0.584043 | − | 0.337197i | 0.178696 | − | 0.983904i | \(-0.442812\pi\) |
−0.762738 | + | 0.646707i | \(0.776146\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.93694 | + | 1.32285i | 0.577825 | + | 0.154828i | 0.535883 | − | 0.844292i | \(-0.319979\pi\) |
0.0419419 | + | 0.999120i | \(0.486646\pi\) | |||||||
\(74\) | 9.00242 | + | 3.27661i | 1.04651 | + | 0.380898i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.161558 | + | 0.135563i | 0.0185320 | + | 0.0155502i | ||||
\(77\) | −3.55988 | + | 7.63418i | −0.405686 | + | 0.869996i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.410612 | + | 0.0724019i | −0.0461974 | + | 0.00814585i | −0.196699 | − | 0.980464i | \(-0.563022\pi\) |
0.150502 | + | 0.988610i | \(0.451911\pi\) | |||||||
\(80\) | 0.879000 | + | 7.71810i | 0.0982752 | + | 0.862910i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −7.95178 | − | 7.95178i | −0.878127 | − | 0.878127i | ||||
\(83\) | 5.31732 | − | 7.59392i | 0.583652 | − | 0.833541i | −0.413378 | − | 0.910560i | \(-0.635651\pi\) |
0.997030 | + | 0.0770185i | \(0.0245401\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.78729 | − | 2.27135i | −0.736185 | − | 0.246362i | ||||
\(86\) | 1.10179 | − | 1.31306i | 0.118809 | − | 0.141591i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 11.5791 | − | 5.39942i | 1.23434 | − | 0.575580i | ||||
\(89\) | 0.974450 | + | 1.68780i | 0.103292 | + | 0.178906i | 0.913039 | − | 0.407872i | \(-0.133729\pi\) |
−0.809747 | + | 0.586779i | \(0.800396\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.96186 | + | 8.59420i | −0.520144 | + | 0.900917i | ||||
\(92\) | −0.114791 | + | 1.31207i | −0.0119678 | + | 0.136792i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 10.7819 | + | 1.90114i | 1.11207 | + | 0.196087i | ||||
\(95\) | 0.122429 | − | 2.00016i | 0.0125610 | − | 0.205212i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.4552 | + | 1.17718i | 1.36617 | + | 0.119524i | 0.746524 | − | 0.665359i | \(-0.231721\pi\) |
0.619644 | + | 0.784883i | \(0.287277\pi\) | |||||||
\(98\) | 4.06390 | − | 1.08892i | 0.410516 | − | 0.109997i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.860633 | + | 0.802402i | −0.0860633 | + | 0.0802402i | ||||
\(101\) | 1.45521 | − | 3.99814i | 0.144798 | − | 0.397830i | −0.845999 | − | 0.533185i | \(-0.820995\pi\) |
0.990797 | + | 0.135354i | \(0.0432173\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −13.3028 | + | 1.16385i | −1.31077 | + | 0.114677i | −0.721022 | − | 0.692912i | \(-0.756327\pi\) |
−0.589745 | + | 0.807589i | \(0.700772\pi\) | |||||||
\(104\) | 14.1440 | − | 5.14800i | 1.38694 | − | 0.504803i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.309046 | + | 1.75269i | 0.0300172 | + | 0.170236i | ||||
\(107\) | 10.2616 | − | 10.2616i | 0.992026 | − | 0.992026i | −0.00794276 | − | 0.999968i | \(-0.502528\pi\) |
0.999968 | + | 0.00794276i | \(0.00252829\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.3459i | 1.37409i | 0.726615 | + | 0.687045i | \(0.241092\pi\) | ||||
−0.726615 | + | 0.687045i | \(0.758908\pi\) | |||||||
\(110\) | −11.2313 | − | 6.09877i | −1.07086 | − | 0.581495i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 6.16397 | + | 2.87431i | 0.582441 | + | 0.271597i | ||||
\(113\) | −1.18867 | − | 13.5865i | −0.111821 | − | 1.27811i | −0.820116 | − | 0.572198i | \(-0.806091\pi\) |
0.708295 | − | 0.705916i | \(-0.249465\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 10.6707 | − | 6.53832i | 0.995046 | − | 0.609701i | ||||
\(116\) | −1.34621 | + | 0.777236i | −0.124993 | + | 0.0721646i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.67356 | + | 6.24582i | 0.154064 | + | 0.574974i | ||||
\(119\) | −4.80039 | + | 4.02801i | −0.440051 | + | 0.369247i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.30443 | + | 7.39778i | −0.118584 | + | 0.672525i | ||||
\(122\) | −6.40648 | − | 9.14940i | −0.580016 | − | 0.828348i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.366468 | − | 0.436739i | −0.0329098 | − | 0.0392204i | ||||
\(125\) | 10.9928 | + | 2.03900i | 0.983229 | + | 0.182374i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.931838 | − | 3.47767i | 0.0826872 | − | 0.308593i | −0.912179 | − | 0.409792i | \(-0.865601\pi\) |
0.994866 | + | 0.101199i | \(0.0322679\pi\) | |||||||
\(128\) | −3.76894 | − | 8.08251i | −0.333130 | − | 0.714400i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −12.5552 | − | 8.31094i | −1.10116 | − | 0.728918i | ||||
\(131\) | −0.189922 | − | 0.521807i | −0.0165936 | − | 0.0455905i | 0.931119 | − | 0.364715i | \(-0.118833\pi\) |
−0.947713 | + | 0.319124i | \(0.896611\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.43720 | − | 1.00634i | −0.124621 | − | 0.0872607i | ||||
\(134\) | −12.8204 | −1.10751 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 9.50463 | 0.815015 | ||||||||
\(137\) | 4.95031 | + | 3.46624i | 0.422934 | + | 0.296141i | 0.765601 | − | 0.643315i | \(-0.222442\pi\) |
−0.342668 | + | 0.939457i | \(0.611330\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.33390 | − | 17.4022i | −0.537234 | − | 1.47604i | −0.850295 | − | 0.526306i | \(-0.823577\pi\) |
0.313061 | − | 0.949733i | \(-0.398646\pi\) | |||||||
\(140\) | 0.205345 | + | 1.00954i | 0.0173548 | + | 0.0853221i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.19024 | − | 6.84148i | −0.267719 | − | 0.574125i | ||||
\(143\) | −5.64463 | + | 21.0660i | −0.472027 | + | 1.76163i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 13.5449 | + | 5.89023i | 1.12484 | + | 0.489157i | ||||
\(146\) | 4.36428 | + | 5.20115i | 0.361190 | + | 0.430450i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.973455 | − | 1.39024i | −0.0800175 | − | 0.114277i | ||||
\(149\) | −1.50609 | + | 8.54145i | −0.123384 | + | 0.699743i | 0.858871 | + | 0.512192i | \(0.171166\pi\) |
−0.982255 | + | 0.187551i | \(0.939945\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.2052 | + | 10.2414i | −0.993244 | + | 0.833431i | −0.986034 | − | 0.166543i | \(-0.946740\pi\) |
−0.00721007 | + | 0.999974i | \(0.502295\pi\) | |||||||
\(152\) | 0.688750 | + | 2.57045i | 0.0558650 | + | 0.208491i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −9.69056 | + | 5.59485i | −0.780887 | + | 0.450846i | ||||
\(155\) | −1.26486 | + | 5.26742i | −0.101596 | + | 0.423089i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.15698 | + | 13.2243i | 0.0923367 | + | 1.05541i | 0.891112 | + | 0.453784i | \(0.149926\pi\) |
−0.798775 | + | 0.601630i | \(0.794518\pi\) | |||||||
\(158\) | −0.501981 | − | 0.234077i | −0.0399354 | − | 0.0186222i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.41282 | − | 2.60180i | 0.111693 | − | 0.205690i | ||||
\(161\) | − | 10.9570i | − | 0.863530i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.24760 | − | 5.24760i | 0.411024 | − | 0.411024i | −0.471071 | − | 0.882095i | \(-0.656133\pi\) |
0.882095 | + | 0.471071i | \(0.156133\pi\) | |||||||
\(164\) | 0.345940 | + | 1.96192i | 0.0270133 | + | 0.153200i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 11.5723 | − | 4.21196i | 0.898183 | − | 0.326912i | ||||
\(167\) | −8.20120 | + | 0.717512i | −0.634628 | + | 0.0555227i | −0.399930 | − | 0.916546i | \(-0.630966\pi\) |
−0.234698 | + | 0.972068i | \(0.575410\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.34150 | + | 11.9282i | −0.333962 | + | 0.917553i | ||||
\(170\) | −5.65507 | − | 7.64314i | −0.433724 | − | 0.586202i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.293309 | + | 0.0785918i | −0.0223646 | + | 0.00599257i | ||||
\(173\) | 7.74393 | + | 0.677506i | 0.588760 | + | 0.0515098i | 0.377643 | − | 0.925951i | \(-0.376735\pi\) |
0.211116 | + | 0.977461i | \(0.432290\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.55069 | − | 7.27391i | 0.495186 | − | 0.549856i | ||||
\(176\) | 14.7198 | + | 2.59549i | 1.10954 | + | 0.195643i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.225641 | + | 2.57908i | −0.0169125 | + | 0.193310i | ||||
\(179\) | −2.19929 | + | 3.80928i | −0.164382 | + | 0.284719i | −0.936436 | − | 0.350839i | \(-0.885896\pi\) |
0.772053 | + | 0.635558i | \(0.219230\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.85830 | − | 4.95072i | −0.212456 | − | 0.367984i | 0.740027 | − | 0.672577i | \(-0.234813\pi\) |
−0.952483 | + | 0.304593i | \(0.901479\pi\) | |||||||
\(182\) | −11.9476 | + | 5.57127i | −0.885617 | + | 0.412970i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −10.6824 | + | 12.7308i | −0.787519 | + | 0.938529i | ||||
\(185\) | −5.11758 | + | 15.2924i | −0.376252 | + | 1.12432i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.89911 | + | 11.2811i | −0.577640 | + | 0.824956i | ||||
\(188\) | −1.37145 | − | 1.37145i | −0.100023 | − | 0.100023i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.65723 | − | 2.08323i | 0.120228 | − | 0.151133i | ||||
\(191\) | −14.2067 | + | 2.50503i | −1.02796 | + | 0.181258i | −0.662104 | − | 0.749412i | \(-0.730336\pi\) |
−0.365860 | + | 0.930670i | \(0.619225\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.33254 | − | 15.7247i | 0.527808 | − | 1.13189i | −0.443981 | − | 0.896036i | \(-0.646434\pi\) |
0.971789 | − | 0.235852i | \(-0.0757879\pi\) | |||||||
\(194\) | 13.7446 | + | 11.5331i | 0.986802 | + | 0.828025i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.700384 | − | 0.254919i | −0.0500274 | − | 0.0182085i | ||||
\(197\) | 13.1476 | + | 3.52289i | 0.936727 | + | 0.250995i | 0.694721 | − | 0.719280i | \(-0.255528\pi\) |
0.242006 | + | 0.970275i | \(0.422195\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.78555 | − | 4.49499i | −0.551903 | − | 0.318641i | 0.197986 | − | 0.980205i | \(-0.436560\pi\) |
−0.749889 | + | 0.661564i | \(0.769893\pi\) | |||||||
\(200\) | −14.7029 | + | 2.06495i | −1.03965 | + | 0.146014i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.62987 | − | 3.24187i | 0.325756 | − | 0.228097i | ||||
\(203\) | 10.5932 | − | 7.41743i | 0.743496 | − | 0.520601i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 13.0307 | − | 13.7302i | 0.910101 | − | 0.958956i | ||||
\(206\) | −15.3625 | − | 8.86955i | −1.07036 | − | 0.617971i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 17.0091 | + | 4.55757i | 1.17937 | + | 0.316011i | ||||
\(209\) | −3.62329 | − | 1.31877i | −0.250628 | − | 0.0912212i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −14.3607 | − | 12.0500i | −0.988631 | − | 0.829559i | −0.00326162 | − | 0.999995i | \(-0.501038\pi\) |
−0.985369 | + | 0.170435i | \(0.945483\pi\) | |||||||
\(212\) | 0.133245 | − | 0.285746i | 0.00915134 | − | 0.0196251i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 18.9851 | − | 3.34758i | 1.29779 | − | 0.228836i | ||||
\(215\) | 2.25794 | + | 1.79622i | 0.153990 | + | 0.122501i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.35376 | + | 3.35376i | 0.227668 | + | 0.227668i | ||||
\(218\) | −10.9308 | + | 15.6108i | −0.740326 | + | 1.05729i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.01014 | + | 2.02626i | 0.0681033 | + | 0.136610i | ||||
\(221\) | −10.4290 | + | 12.4288i | −0.701530 | + | 0.836051i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −15.0323 | + | 7.00968i | −1.00664 | + | 0.469403i | −0.854775 | − | 0.518999i | \(-0.826305\pi\) |
−0.151862 | + | 0.988402i | \(0.548527\pi\) | |||||||
\(224\) | −1.29608 | − | 2.24488i | −0.0865981 | − | 0.149992i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.05870 | − | 15.6901i | 0.602576 | − | 1.04369i | ||||
\(227\) | 1.57696 | − | 18.0248i | 0.104667 | − | 1.19634i | −0.744281 | − | 0.667867i | \(-0.767207\pi\) |
0.848947 | − | 0.528478i | \(-0.177237\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 18.7074 | + | 3.29862i | 1.23622 | + | 0.217979i | 0.753294 | − | 0.657684i | \(-0.228464\pi\) |
0.482924 | + | 0.875662i | \(0.339575\pi\) | |||||||
\(230\) | 16.5933 | + | 1.01567i | 1.09413 | + | 0.0669714i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −19.5397 | − | 1.70951i | −1.28285 | − | 0.112235i | ||||
\(233\) | 7.30551 | − | 1.95750i | 0.478600 | − | 0.128240i | −0.0114509 | − | 0.999934i | \(-0.503645\pi\) |
0.490050 | + | 0.871694i | \(0.336978\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.72480 | + | 18.2262i | −0.177747 | + | 1.18895i | ||||
\(236\) | 0.391785 | − | 1.07642i | 0.0255031 | − | 0.0700691i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −8.29275 | + | 0.725521i | −0.537539 | + | 0.0470286i | ||||
\(239\) | −11.7518 | + | 4.27731i | −0.760162 | + | 0.276676i | −0.692875 | − | 0.721057i | \(-0.743656\pi\) |
−0.0672867 | + | 0.997734i | \(0.521434\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.97320 | + | 16.8619i | 0.191521 | + | 1.08617i | 0.917287 | + | 0.398227i | \(0.130374\pi\) |
−0.725766 | + | 0.687942i | \(0.758514\pi\) | |||||||
\(242\) | −7.05612 | + | 7.05612i | −0.453585 | + | 0.453585i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.97870i | 0.126673i | ||||||||
\(245\) | 2.01106 | + | 6.79041i | 0.128482 | + | 0.433823i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.11700 | − | 1.91979i | −0.261958 | − | 0.122153i | ||||
\(248\) | −0.626983 | − | 7.16645i | −0.0398134 | − | 0.455070i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 10.4085 | + | 10.5947i | 0.658288 | + | 0.670067i | ||||
\(251\) | −4.66370 | + | 2.69259i | −0.294370 | + | 0.169955i | −0.639911 | − | 0.768449i | \(-0.721029\pi\) |
0.345541 | + | 0.938404i | \(0.387696\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.23233 | − | 23.2594i | −0.391823 | − | 1.46231i | ||||
\(254\) | 3.66378 | − | 3.07428i | 0.229886 | − | 0.192897i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.966651 | + | 5.48215i | −0.0604157 | + | 0.342634i | ||||
\(257\) | 7.03325 | + | 10.0445i | 0.438722 | + | 0.626560i | 0.976240 | − | 0.216692i | \(-0.0695268\pi\) |
−0.537518 | + | 0.843252i | \(0.680638\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.07550 | + | 10.8158i | 0.563924 | + | 0.672059i | ||||
\(260\) | 0.977472 | + | 2.48180i | 0.0606203 | + | 0.153915i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.190920 | − | 0.712524i | 0.0117951 | − | 0.0440199i | ||||
\(263\) | 5.75913 | + | 12.3505i | 0.355123 | + | 0.761563i | 0.999996 | − | 0.00272594i | \(-0.000867694\pi\) |
−0.644873 | + | 0.764289i | \(0.723090\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.93565 | + | 0.597121i | −0.180335 | + | 0.0366808i | ||||
\(266\) | −0.797143 | − | 2.19013i | −0.0488760 | − | 0.134286i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.86045 | + | 1.30270i | 0.113645 | + | 0.0795749i | ||||
\(269\) | −12.3342 | −0.752028 | −0.376014 | − | 0.926614i | \(-0.622706\pi\) | ||||
−0.376014 | + | 0.926614i | \(0.622706\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 19.7578 | 1.20020 | 0.600099 | − | 0.799926i | \(-0.295128\pi\) | ||||
0.600099 | + | 0.799926i | \(0.295128\pi\) | |||||||
\(272\) | 9.10856 | + | 6.37789i | 0.552288 | + | 0.386716i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.74569 | + | 7.54371i | 0.165873 | + | 0.455732i | ||||
\(275\) | 9.76837 | − | 19.1671i | 0.589055 | − | 1.15582i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.856962 | − | 1.83776i | −0.0514898 | − | 0.110420i | 0.878880 | − | 0.477044i | \(-0.158292\pi\) |
−0.930370 | + | 0.366623i | \(0.880514\pi\) | |||||||
\(278\) | 6.36718 | − | 23.7626i | 0.381878 | − | 1.42519i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.18402 | + | 11.9209i | −0.309804 | + | 0.712410i | ||||
\(281\) | 16.8041 | + | 20.0263i | 1.00245 | + | 1.19467i | 0.980822 | + | 0.194903i | \(0.0624393\pi\) |
0.0216244 | + | 0.999766i | \(0.493116\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.33019 | + | 1.89971i | 0.0790717 | + | 0.112926i | 0.856740 | − | 0.515749i | \(-0.172486\pi\) |
−0.777668 | + | 0.628675i | \(0.783597\pi\) | |||||||
\(284\) | −0.232218 | + | 1.31697i | −0.0137796 | + | 0.0781480i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −22.1934 | + | 18.6225i | −1.31232 | + | 1.10117i | ||||
\(287\) | −4.28949 | − | 16.0086i | −0.253200 | − | 0.944956i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.84978 | − | 3.37737i | 0.344105 | − | 0.198669i | ||||
\(290\) | 10.2511 | + | 16.7300i | 0.601963 | + | 0.982418i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.104832 | − | 1.19823i | −0.00613480 | − | 0.0701211i | ||||
\(293\) | 10.9251 | + | 5.09445i | 0.638250 | + | 0.297621i | 0.714677 | − | 0.699454i | \(-0.246574\pi\) |
−0.0764274 | + | 0.997075i | \(0.524351\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.4362 | + | 3.09081i | −0.607619 | + | 0.179954i | ||||
\(296\) | − | 21.4149i | − | 1.24471i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −8.14698 | + | 8.14698i | −0.471942 | + | 0.471942i | ||||
\(299\) | −4.92621 | − | 27.9379i | −0.284890 | − | 1.61569i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.37381 | − | 0.863996i | 0.136824 | − | 0.0497999i | ||||
\(302\) | −21.0846 | + | 1.84467i | −1.21328 | + | 0.106149i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.06480 | + | 2.92551i | −0.0610704 | + | 0.167790i | ||||
\(305\) | 15.1139 | − | 11.1826i | 0.865418 | − | 0.640313i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 22.6984 | − | 6.08202i | 1.29547 | − | 0.347119i | 0.455732 | − | 0.890117i | \(-0.349378\pi\) |
0.839734 | + | 0.542998i | \(0.182711\pi\) | |||||||
\(308\) | 1.97476 | + | 0.172769i | 0.112522 | + | 0.00984441i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −5.38985 | + | 4.76809i | −0.306123 | + | 0.270809i | ||||
\(311\) | −3.91683 | − | 0.690642i | −0.222103 | − | 0.0391627i | 0.0614891 | − | 0.998108i | \(-0.480415\pi\) |
−0.283592 | + | 0.958945i | \(0.591526\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.0797089 | + | 0.911077i | −0.00450541 | + | 0.0514971i | −0.998115 | − | 0.0613781i | \(-0.980450\pi\) |
0.993609 | + | 0.112875i | \(0.0360060\pi\) | |||||||
\(314\) | −8.81718 | + | 15.2718i | −0.497582 | + | 0.861838i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.0490605 | + | 0.0849753i | 0.00275987 | + | 0.00478023i | ||||
\(317\) | −23.8990 | + | 11.1443i | −1.34230 | + | 0.625924i | −0.955158 | − | 0.296096i | \(-0.904315\pi\) |
−0.387141 | + | 0.922021i | \(0.626537\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 18.2681 | − | 21.7711i | 1.02282 | − | 1.21895i | ||||
\(320\) | 17.4238 | − | 8.68618i | 0.974021 | − | 0.485572i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 8.34859 | − | 11.9230i | 0.465249 | − | 0.664444i | ||||
\(323\) | −2.02833 | − | 2.02833i | −0.112859 | − | 0.112859i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 13.4325 | − | 21.4921i | 0.745103 | − | 1.19217i | ||||
\(326\) | 9.70865 | − | 1.71190i | 0.537712 | − | 0.0948132i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −10.6235 | + | 22.7823i | −0.586587 | + | 1.25794i | ||||
\(329\) | 12.3602 | + | 10.3715i | 0.681442 | + | 0.571798i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −12.0746 | − | 4.39481i | −0.663682 | − | 0.241561i | −0.0118569 | − | 0.999930i | \(-0.503774\pi\) |
−0.651825 | + | 0.758369i | \(0.725996\pi\) | |||||||
\(332\) | −2.10731 | − | 0.564651i | −0.115653 | − | 0.0309893i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −9.47099 | − | 5.46808i | −0.518229 | − | 0.299200i | ||||
\(335\) | −0.563892 | − | 21.5728i | −0.0308087 | − | 1.17865i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.96283 | + | 4.87543i | −0.379290 | + | 0.265581i | −0.747638 | − | 0.664106i | \(-0.768812\pi\) |
0.368349 | + | 0.929688i | \(0.379923\pi\) | |||||||
\(338\) | −13.8129 | + | 9.67189i | −0.751322 | + | 0.526081i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.0440119 | + | 1.68376i | 0.00238688 | + | 0.0913148i | ||||
\(341\) | 9.02697 | + | 5.21173i | 0.488838 | + | 0.282231i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.2267 | + | 5.15177i | 1.03814 | + | 0.278169i | ||||
\(344\) | −3.60046 | − | 1.31046i | −0.194124 | − | 0.0706553i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 7.91047 | + | 6.63767i | 0.425270 | + | 0.356844i | ||||
\(347\) | 2.22359 | − | 4.76851i | 0.119369 | − | 0.255987i | −0.837540 | − | 0.546376i | \(-0.816007\pi\) |
0.956909 | + | 0.290389i | \(0.0937847\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −20.3047 | + | 3.58026i | −1.08688 | + | 0.191647i | −0.688258 | − | 0.725466i | \(-0.741624\pi\) |
−0.398627 | + | 0.917113i | \(0.630513\pi\) | |||||||
\(350\) | 12.6706 | − | 2.92398i | 0.677270 | − | 0.156293i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.02821 | − | 4.02821i | −0.214704 | − | 0.214704i | ||||
\(353\) | −16.5268 | + | 23.6027i | −0.879631 | + | 1.25624i | 0.0859911 | + | 0.996296i | \(0.472594\pi\) |
−0.965623 | + | 0.259948i | \(0.916295\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 11.3718 | − | 5.66911i | 0.603553 | − | 0.300885i | ||||
\(356\) | 0.294808 | − | 0.351339i | 0.0156248 | − | 0.0186209i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −5.29565 | + | 2.46940i | −0.279884 | + | 0.130512i | ||||
\(359\) | −8.91393 | − | 15.4394i | −0.470459 | − | 0.814860i | 0.528970 | − | 0.848641i | \(-0.322578\pi\) |
−0.999429 | + | 0.0337810i | \(0.989245\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.09844 | + | 15.7590i | −0.478865 | + | 0.829419i | ||||
\(362\) | 0.661859 | − | 7.56508i | 0.0347865 | − | 0.397612i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2.29990 | + | 0.405534i | 0.120547 | + | 0.0212558i | ||||
\(365\) | −8.55998 | + | 7.57252i | −0.448050 | + | 0.396364i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −21.8448 | − | 1.91117i | −1.14029 | − | 0.0997623i | −0.498674 | − | 0.866790i | \(-0.666179\pi\) |
−0.641614 | + | 0.767028i | \(0.721735\pi\) | |||||||
\(368\) | −18.7800 | + | 5.03210i | −0.978978 | + | 0.262316i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −17.2208 | + | 12.7414i | −0.895264 | + | 0.662396i | ||||
\(371\) | −0.897087 | + | 2.46473i | −0.0465744 | + | 0.127962i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −17.1932 | + | 1.50421i | −0.890228 | + | 0.0778848i | −0.523086 | − | 0.852280i | \(-0.675219\pi\) |
−0.367142 | + | 0.930165i | \(0.619664\pi\) | |||||||
\(374\) | −17.1911 | + | 6.25706i | −0.888932 | + | 0.323545i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.24967 | − | 24.1011i | −0.219160 | − | 1.24292i | ||||
\(377\) | 23.6755 | − | 23.6755i | 1.21935 | − | 1.21935i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 27.1687i | − | 1.39556i | −0.716312 | − | 0.697780i | \(-0.754171\pi\) | ||
0.716312 | − | 0.697780i | \(-0.245829\pi\) | |||||||
\(380\) | −0.452170 | + | 0.133916i | −0.0231959 | + | 0.00686974i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −17.3680 | − | 8.09883i | −0.888624 | − | 0.414372i | ||||
\(383\) | 0.640436 | + | 7.32022i | 0.0327248 | + | 0.374046i | 0.994844 | + | 0.101417i | \(0.0323376\pi\) |
−0.962119 | + | 0.272629i | \(0.912107\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −9.84065 | − | 16.0602i | −0.501526 | − | 0.818502i | ||||
\(386\) | 19.9604 | − | 11.5241i | 1.01596 | − | 0.586562i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.822667 | − | 3.07024i | −0.0417646 | − | 0.155868i | ||||
\(389\) | 23.9421 | − | 20.0898i | 1.21391 | − | 1.01859i | 0.214792 | − | 0.976660i | \(-0.431093\pi\) |
0.999120 | − | 0.0419334i | \(-0.0133517\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.11072 | − | 17.6418i | 0.157316 | − | 0.892182i | ||||
\(392\) | −5.39427 | − | 7.70382i | −0.272452 | − | 0.389102i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 11.6225 | + | 13.8512i | 0.585535 | + | 0.697814i | ||||
\(395\) | 0.371802 | − | 0.854976i | 0.0187074 | − | 0.0430185i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.26857 | − | 15.9305i | 0.214234 | − | 0.799531i | −0.772201 | − | 0.635378i | \(-0.780844\pi\) |
0.986435 | − | 0.164153i | \(-0.0524890\pi\) | |||||||
\(398\) | −5.04706 | − | 10.8234i | −0.252986 | − | 0.542530i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −15.4758 | − | 7.88716i | −0.773792 | − | 0.394358i | ||||
\(401\) | 0.517022 | + | 1.42051i | 0.0258188 | + | 0.0709367i | 0.951932 | − | 0.306308i | \(-0.0990938\pi\) |
−0.926114 | + | 0.377245i | \(0.876872\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 10.0592 | + | 7.04354i | 0.501085 | + | 0.350864i | ||||
\(404\) | −1.00128 | −0.0498155 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 17.1788 | 0.852571 | ||||||||
\(407\) | 25.4175 | + | 17.7975i | 1.25990 | + | 0.882189i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.02778 | − | 22.0561i | −0.396948 | − | 1.09061i | −0.963763 | − | 0.266760i | \(-0.914047\pi\) |
0.566815 | − | 0.823845i | \(-0.308175\pi\) | |||||||
\(410\) | 24.6412 | − | 5.01210i | 1.21694 | − | 0.247530i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.32810 | + | 2.84812i | 0.0654308 | + | 0.140317i | ||||
\(413\) | −2.46645 | + | 9.20490i | −0.121366 | + | 0.452944i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.59644 | + | 19.2873i | 0.372895 | + | 0.946779i | ||||
\(416\) | −4.31402 | − | 5.14125i | −0.211512 | − | 0.252070i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.93792 | − | 4.19579i | −0.143698 | − | 0.205223i | ||||
\(419\) | 2.76242 | − | 15.6665i | 0.134953 | − | 0.765357i | −0.839939 | − | 0.542680i | \(-0.817409\pi\) |
0.974892 | − | 0.222677i | \(-0.0714794\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 27.8051 | − | 23.3312i | 1.35514 | − | 1.13709i | 0.377685 | − | 0.925934i | \(-0.376720\pi\) |
0.977452 | − | 0.211160i | \(-0.0677241\pi\) | |||||||
\(422\) | −6.44539 | − | 24.0545i | −0.313756 | − | 1.17096i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.44529 | − | 1.98914i | 0.167318 | − | 0.0966012i | ||||
\(425\) | 12.6123 | − | 9.85193i | 0.611788 | − | 0.477889i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.43468 | − | 16.3984i | −0.0694289 | − | 0.793576i | ||||
\(428\) | −3.09519 | − | 1.44331i | −0.149612 | − | 0.0697652i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.08840 | + | 3.67501i | 0.0524873 | + | 0.177225i | ||||
\(431\) | 10.7570i | 0.518146i | 0.965858 | + | 0.259073i | \(0.0834169\pi\) | ||||
−0.965858 | + | 0.259073i | \(0.916583\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −25.8369 | + | 25.8369i | −1.24164 | + | 1.24164i | −0.282321 | + | 0.959320i | \(0.591104\pi\) |
−0.959320 | + | 0.282321i | \(0.908896\pi\) | |||||||
\(434\) | 1.09408 | + | 6.20483i | 0.0525175 | + | 0.297842i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 3.17246 | − | 1.15468i | 0.151933 | − | 0.0552992i | ||||
\(437\) | 4.99649 | − | 0.437136i | 0.239015 | − | 0.0209111i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.76440 | − | 13.0901i | 0.227393 | − | 0.624756i | −0.772556 | − | 0.634947i | \(-0.781022\pi\) |
0.999948 | + | 0.0101913i | \(0.00324405\pi\) | |||||||
\(440\) | −4.22398 | + | 28.2543i | −0.201371 | + | 1.34697i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −20.8185 | + | 5.57831i | −0.990237 | + | 0.265333i | ||||
\(443\) | 11.3601 | + | 0.993879i | 0.539734 | + | 0.0472206i | 0.353764 | − | 0.935335i | \(-0.384902\pi\) |
0.185970 | + | 0.982555i | \(0.440457\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.34973 | − | 0.266246i | −0.206197 | − | 0.0126213i | ||||
\(446\) | −21.6986 | − | 3.82606i | −1.02746 | − | 0.181169i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.48564 | − | 16.9810i | 0.0701900 | − | 0.802276i | ||||
\(449\) | −0.807925 | + | 1.39937i | −0.0381283 | + | 0.0660402i | −0.884460 | − | 0.466616i | \(-0.845473\pi\) |
0.846332 | + | 0.532657i | \(0.178806\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −18.2114 | − | 31.5431i | −0.857541 | − | 1.48530i | ||||
\(452\) | −2.90886 | + | 1.35642i | −0.136821 | + | 0.0638008i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 15.4498 | − | 18.4124i | 0.725097 | − | 0.864137i | ||||
\(455\) | −9.90025 | − | 19.8592i | −0.464131 | − | 0.931012i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.17737 | + | 4.53775i | −0.148631 | + | 0.212267i | −0.886563 | − | 0.462608i | \(-0.846914\pi\) |
0.737932 | + | 0.674875i | \(0.235803\pi\) | |||||||
\(458\) | 17.8434 | + | 17.8434i | 0.833768 | + | 0.833768i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2.30475 | − | 1.83346i | −0.107460 | − | 0.0854855i | ||||
\(461\) | −14.9666 | + | 2.63902i | −0.697065 | + | 0.122911i | −0.510942 | − | 0.859615i | \(-0.670703\pi\) |
−0.186123 | + | 0.982527i | \(0.559592\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −13.9696 | + | 29.9580i | −0.649224 | + | 1.39226i | 0.255727 | + | 0.966749i | \(0.417685\pi\) |
−0.904951 | + | 0.425516i | \(0.860093\pi\) | |||||||
\(464\) | −17.5784 | − | 14.7500i | −0.816056 | − | 0.684752i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 9.44112 | + | 3.43629i | 0.437352 | + | 0.159183i | ||||
\(467\) | −21.9378 | − | 5.87822i | −1.01516 | − | 0.272012i | −0.287377 | − | 0.957818i | \(-0.592783\pi\) |
−0.727784 | + | 0.685806i | \(0.759450\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −16.3630 | − | 9.44716i | −0.755571 | − | 0.436229i | ||||
\(470\) | −16.8524 | + | 17.7571i | −0.777343 | + | 0.819072i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 11.8400 | − | 8.29047i | 0.544981 | − | 0.381600i | ||||
\(473\) | 4.54767 | − | 3.18431i | 0.209102 | − | 0.146415i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.57833 | + | 2.69699i | 0.164185 | + | 0.123746i | ||||
\(476\) | 1.27713 | + | 0.737352i | 0.0585372 | + | 0.0337965i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −16.0470 | − | 4.29979i | −0.733974 | − | 0.196668i | ||||
\(479\) | −21.4594 | − | 7.81060i | −0.980507 | − | 0.356875i | −0.198470 | − | 0.980107i | \(-0.563597\pi\) |
−0.782037 | + | 0.623232i | \(0.785819\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 28.0033 | + | 23.4976i | 1.27684 | + | 1.07140i | ||||
\(482\) | −9.61245 | + | 20.6140i | −0.437835 | + | 0.938941i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.74094 | − | 0.306975i | 0.0791336 | − | 0.0139534i | ||||
\(485\) | −18.8021 | + | 23.6352i | −0.853758 | + | 1.07322i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 13.1004 | + | 13.1004i | 0.593634 | + | 0.593634i | 0.938611 | − | 0.344977i | \(-0.112113\pi\) |
−0.344977 | + | 0.938611i | \(0.612113\pi\) | |||||||
\(488\) | −14.3206 | + | 20.4520i | −0.648264 | + | 0.925817i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.98553 | + | 8.92142i | −0.134873 | + | 0.403029i | ||||
\(491\) | 5.95862 | − | 7.10121i | 0.268909 | − | 0.320473i | −0.614644 | − | 0.788805i | \(-0.710700\pi\) |
0.883553 | + | 0.468332i | \(0.155145\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 19.1619 | − | 8.93533i | 0.863007 | − | 0.402427i | ||||
\(494\) | −3.01722 | − | 5.22597i | −0.135751 | − | 0.235128i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4.20804 | − | 7.28854i | 0.188947 | − | 0.327265i | ||||
\(497\) | 0.969617 | − | 11.0828i | 0.0434933 | − | 0.497131i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −20.3482 | − | 3.58794i | −0.910911 | − | 0.160618i | −0.301494 | − | 0.953468i | \(-0.597485\pi\) |
−0.609417 | + | 0.792850i | \(0.708596\pi\) | |||||||
\(500\) | −0.433892 | − | 2.59508i | −0.0194042 | − | 0.116055i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −7.12650 | − | 0.623488i | −0.318071 | − | 0.0278276i | ||||
\(503\) | −4.53760 | + | 1.21585i | −0.202322 | + | 0.0542119i | −0.358557 | − | 0.933508i | \(-0.616731\pi\) |
0.156235 | + | 0.987720i | \(0.450064\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.65871 | + | 7.64806i | 0.251809 | + | 0.340334i | ||||
\(506\) | 10.9405 | − | 30.0588i | 0.486365 | − | 1.33628i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.844055 | + | 0.0738452i | −0.0374489 | + | 0.00327635i | ||||
\(509\) | 30.3526 | − | 11.0475i | 1.34536 | − | 0.489670i | 0.433862 | − | 0.900979i | \(-0.357151\pi\) |
0.911496 | + | 0.411309i | \(0.134928\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.73758 | + | 9.85432i | 0.0768661 | + | 0.435929i | ||||
\(512\) | −17.8410 | + | 17.8410i | −0.788469 | + | 0.788469i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 16.2891i | 0.718480i | ||||||||
\(515\) | 14.2490 | − | 26.2405i | 0.627887 | − | 1.15630i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 32.1376 | + | 14.9860i | 1.41341 | + | 0.659083i | ||||
\(518\) | 1.63467 | + | 18.6844i | 0.0718234 | + | 0.820945i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −7.85854 | + | 32.7264i | −0.344620 | + | 1.43515i | ||||
\(521\) | 2.29310 | − | 1.32392i | 0.100463 | − | 0.0580021i | −0.448927 | − | 0.893568i | \(-0.648194\pi\) |
0.549390 | + | 0.835566i | \(0.314860\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.37351 | + | 12.5901i | 0.147513 | + | 0.550527i | 0.999631 | + | 0.0271764i | \(0.00865159\pi\) |
−0.852117 | + | 0.523351i | \(0.824682\pi\) | |||||||
\(524\) | −0.100106 | + | 0.0839990i | −0.00437316 | + | 0.00366951i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.14347 | + | 17.8275i | −0.137062 | + | 0.777317i | ||||
\(527\) | 4.44773 | + | 6.35202i | 0.193746 | + | 0.276698i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.34967 | + | 6.37549i | 0.232594 | + | 0.277195i | ||||
\(530\) | −3.64945 | − | 1.58703i | −0.158522 | − | 0.0689361i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.106864 | + | 0.398822i | −0.00463314 | + | 0.0172911i | ||||
\(533\) | −18.1347 | − | 38.8899i | −0.785499 | − | 1.68451i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.46800 | + | 31.7989i | 0.279636 | + | 1.37478i | ||||
\(536\) | 9.80156 | + | 26.9296i | 0.423363 | + | 1.16318i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −13.4217 | − | 9.39794i | −0.578649 | − | 0.405174i | ||||
\(539\) | 13.6268 | 0.586947 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −42.0435 | −1.80759 | −0.903796 | − | 0.427963i | \(-0.859231\pi\) | ||||
−0.903796 | + | 0.427963i | \(0.859231\pi\) | |||||||
\(542\) | 21.4998 | + | 15.0543i | 0.923494 | + | 0.646637i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.44949 | − | 3.98243i | −0.0621463 | − | 0.170745i | ||||
\(545\) | −26.7489 | − | 17.7065i | −1.14580 | − | 0.758465i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.73975 | − | 20.8870i | −0.416442 | − | 0.893062i | −0.996893 | − | 0.0787671i | \(-0.974902\pi\) |
0.580451 | − | 0.814295i | \(-0.302876\pi\) | |||||||
\(548\) | 0.368084 | − | 1.37371i | 0.0157238 | − | 0.0586818i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 25.2338 | − | 13.4140i | 1.07597 | − | 0.571977i | ||||
\(551\) | 3.80505 | + | 4.53468i | 0.162101 | + | 0.193184i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.468201 | − | 0.668660i | −0.0199099 | − | 0.0284343i | ||||
\(554\) | 0.467751 | − | 2.65275i | 0.0198728 | − | 0.112704i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.33853 | + | 2.80136i | −0.141585 | + | 0.118804i | ||||
\(557\) | 9.19419 | + | 34.3132i | 0.389570 | + | 1.45390i | 0.830835 | + | 0.556519i | \(0.187863\pi\) |
−0.441265 | + | 0.897377i | \(0.645470\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.66426 | − | 3.27026i | 0.239572 | − | 0.138317i | ||||
\(560\) | −12.9673 | + | 7.94551i | −0.547967 | + | 0.335759i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.02674 | + | 34.5957i | 0.127675 | + | 1.45933i | ||||
\(563\) | 4.24073 | + | 1.97748i | 0.178725 | + | 0.0833410i | 0.509922 | − | 0.860221i | \(-0.329674\pi\) |
−0.331196 | + | 0.943562i | \(0.607452\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 26.8001 | + | 14.5529i | 1.12749 | + | 0.612246i | ||||
\(566\) | 3.08073i | 0.129493i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −11.9317 | + | 11.9317i | −0.500642 | + | 0.500642i | ||||
\(569\) | −1.37633 | − | 7.80556i | −0.0576988 | − | 0.327226i | 0.942272 | − | 0.334848i | \(-0.108685\pi\) |
−0.999971 | + | 0.00762185i | \(0.997574\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.65824 | − | 1.69546i | 0.194941 | − | 0.0709528i | −0.242705 | − | 0.970100i | \(-0.578035\pi\) |
0.437646 | + | 0.899147i | \(0.355812\pi\) | |||||||
\(572\) | 5.11288 | − | 0.447319i | 0.213780 | − | 0.0187033i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.52995 | − | 20.6884i | 0.314294 | − | 0.863516i | ||||
\(575\) | −0.979225 | + | 27.9662i | −0.0408365 | + | 1.16627i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 22.0266 | − | 5.90200i | 0.916977 | − | 0.245703i | 0.230684 | − | 0.973029i | \(-0.425904\pi\) |
0.686293 | + | 0.727325i | \(0.259237\pi\) | |||||||
\(578\) | 8.93890 | + | 0.782053i | 0.371809 | + | 0.0325291i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.212362 | − | 3.46941i | 0.00881784 | − | 0.144060i | ||||
\(581\) | 17.8737 | + | 3.15161i | 0.741526 | + | 0.130751i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.502393 | + | 5.74237i | −0.0208070 | + | 0.237825i | ||||
\(584\) | 7.58853 | − | 13.1437i | 0.314015 | − | 0.543891i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8.00664 | + | 13.8679i | 0.330751 | + | 0.572878i | ||||
\(587\) | −33.9155 | + | 15.8151i | −1.39984 | + | 0.652758i | −0.968405 | − | 0.249384i | \(-0.919772\pi\) |
−0.431439 | + | 0.902142i | \(0.641994\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.39555 | + | 1.66315i | −0.0575026 | + | 0.0685290i | ||||
\(590\) | −13.7114 | − | 4.58847i | −0.564488 | − | 0.188904i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 14.3700 | − | 20.5225i | 0.590604 | − | 0.843470i | ||||
\(593\) | 5.46266 | + | 5.46266i | 0.224324 | + | 0.224324i | 0.810317 | − | 0.585992i | \(-0.199295\pi\) |
−0.585992 | + | 0.810317i | \(0.699295\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.58558 | − | 13.9222i | −0.0650024 | − | 0.570756i | ||||
\(596\) | 2.01008 | − | 0.354432i | 0.0823362 | − | 0.0145181i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 15.9266 | − | 34.1546i | 0.651286 | − | 1.39669i | ||||
\(599\) | 1.79656 | + | 1.50749i | 0.0734055 | + | 0.0615946i | 0.678752 | − | 0.734367i | \(-0.262521\pi\) |
−0.605347 | + | 0.795962i | \(0.706965\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 38.1639 | + | 13.8905i | 1.55674 | + | 0.566607i | 0.969987 | − | 0.243159i | \(-0.0781836\pi\) |
0.586753 | + | 0.809766i | \(0.300406\pi\) | |||||||
\(602\) | 3.24142 | + | 0.868536i | 0.132110 | + | 0.0353989i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 3.24716 | + | 1.87475i | 0.132125 | + | 0.0762824i | ||||
\(605\) | −12.1837 | − | 11.5629i | −0.495336 | − | 0.470101i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −1.53527 | + | 1.07501i | −0.0623147 | + | 0.0436332i | −0.604319 | − | 0.796743i | \(-0.706555\pi\) |
0.542004 | + | 0.840376i | \(0.317666\pi\) | |||||||
\(608\) | 0.971981 | − | 0.680588i | 0.0394190 | − | 0.0276015i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 24.9669 | − | 0.652611i | 1.01088 | − | 0.0264234i | ||||
\(611\) | 36.1789 | + | 20.8879i | 1.46364 | + | 0.845035i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −17.5910 | − | 4.71349i | −0.710494 | − | 0.190376i | −0.114568 | − | 0.993415i | \(-0.536548\pi\) |
−0.595926 | + | 0.803039i | \(0.703215\pi\) | |||||||
\(614\) | 29.3338 | + | 10.6766i | 1.18382 | + | 0.430874i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 19.1608 | + | 16.0778i | 0.772012 | + | 0.647795i | ||||
\(617\) | 7.87526 | − | 16.8885i | 0.317046 | − | 0.679907i | −0.681611 | − | 0.731715i | \(-0.738720\pi\) |
0.998657 | + | 0.0518073i | \(0.0164982\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −28.0130 | + | 4.93945i | −1.12594 | + | 0.198533i | −0.705447 | − | 0.708763i | \(-0.749254\pi\) |
−0.420492 | + | 0.907296i | \(0.638142\pi\) | |||||||
\(620\) | 1.26665 | − | 0.144256i | 0.0508697 | − | 0.00579345i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −3.73594 | − | 3.73594i | −0.149797 | − | 0.149797i | ||||
\(623\) | −2.18848 | + | 3.12547i | −0.0876795 | + | 0.125219i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −17.3698 | + | 17.9802i | −0.694793 | + | 0.719210i | ||||
\(626\) | −0.780926 | + | 0.930671i | −0.0312121 | + | 0.0371971i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.83130 | − | 1.32026i | 0.112981 | − | 0.0526840i | ||||
\(629\) | 11.5418 | + | 19.9910i | 0.460202 | + | 0.797093i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −16.2016 | + | 28.0619i | −0.644974 | + | 1.11713i | 0.339333 | + | 0.940666i | \(0.389799\pi\) |
−0.984307 | + | 0.176462i | \(0.943535\pi\) | |||||||
\(632\) | −0.107907 | + | 1.23338i | −0.00429231 | + | 0.0490613i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −34.4974 | − | 6.08282i | −1.37007 | − | 0.241580i | ||||
\(635\) | 5.33422 | + | 6.02981i | 0.211682 | + | 0.239286i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 15.9928 | + | 1.39919i | 0.633659 | + | 0.0554380i | ||||
\(638\) | 36.4671 | − | 9.77134i | 1.44375 | − | 0.386851i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 19.7222 | + | 2.94845i | 0.779589 | + | 0.116548i | ||||
\(641\) | 7.10695 | − | 19.5262i | 0.280708 | − | 0.771238i | −0.716571 | − | 0.697514i | \(-0.754289\pi\) |
0.997279 | − | 0.0737239i | \(-0.0234884\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 39.3334 | − | 3.44122i | 1.55116 | − | 0.135709i | 0.720880 | − | 0.693060i | \(-0.243738\pi\) |
0.830277 | + | 0.557351i | \(0.188182\pi\) | |||||||
\(644\) | −2.42303 | + | 0.881910i | −0.0954807 | + | 0.0347521i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.661691 | − | 3.75263i | −0.0260339 | − | 0.147645i | ||||
\(647\) | −27.7872 | + | 27.7872i | −1.09243 | + | 1.09243i | −0.0971593 | + | 0.995269i | \(0.530976\pi\) |
−0.995269 | + | 0.0971593i | \(0.969024\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 20.9430i | 0.822086i | ||||||||
\(650\) | 30.9926 | − | 13.1522i | 1.21563 | − | 0.515870i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.58283 | − | 0.738085i | −0.0619884 | − | 0.0289056i | ||||
\(653\) | 1.47726 | + | 16.8852i | 0.0578098 | + | 0.660770i | 0.968719 | + | 0.248162i | \(0.0798264\pi\) |
−0.910909 | + | 0.412608i | \(0.864618\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.20736 | + | 0.289921i | 0.0471754 | + | 0.0113281i | ||||
\(656\) | −25.4684 | + | 14.7042i | −0.994375 | + | 0.574103i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 5.54754 | + | 20.7037i | 0.216266 | + | 0.807115i | ||||
\(659\) | −36.7210 | + | 30.8125i | −1.43045 | + | 1.20029i | −0.484997 | + | 0.874516i | \(0.661179\pi\) |
−0.945449 | + | 0.325770i | \(0.894376\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.726513 | + | 4.12026i | −0.0282581 | + | 0.160259i | −0.995671 | − | 0.0929427i | \(-0.970373\pi\) |
0.967413 | + | 0.253202i | \(0.0814838\pi\) | |||||||
\(662\) | −9.79064 | − | 13.9825i | −0.380524 | − | 0.543445i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −17.6947 | − | 21.0877i | −0.686687 | − | 0.818361i | ||||
\(665\) | 3.65026 | − | 1.43768i | 0.141551 | − | 0.0557508i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.56811 | + | 35.7087i | −0.370479 | + | 1.38264i | ||||
\(668\) | 0.818774 | + | 1.75587i | 0.0316793 | + | 0.0679365i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 15.8237 | − | 23.9045i | 0.611321 | − | 0.923511i | ||||
\(671\) | −12.3730 | − | 33.9945i | −0.477653 | − | 1.31234i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −19.5570 | − | 13.6940i | −0.753867 | − | 0.527863i | 0.132311 | − | 0.991208i | \(-0.457760\pi\) |
−0.886178 | + | 0.463345i | \(0.846649\pi\) | |||||||
\(674\) | −11.2915 | −0.434933 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.98725 | 0.114894 | ||||||||
\(677\) | 18.1236 | + | 12.6903i | 0.696547 | + | 0.487727i | 0.867427 | − | 0.497565i | \(-0.165772\pi\) |
−0.170880 | + | 0.985292i | \(0.554661\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.04396 | + | 24.8481i | 0.347075 | + | 0.953581i | ||||
\(680\) | −11.7311 | + | 17.7220i | −0.449869 | + | 0.679608i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.85182 | + | 12.5493i | 0.224078 | + | 0.480537i | ||||
\(683\) | −6.53337 | + | 24.3829i | −0.249993 | + | 0.932985i | 0.720815 | + | 0.693127i | \(0.243768\pi\) |
−0.970808 | + | 0.239858i | \(0.922899\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −12.5730 | + | 4.95195i | −0.480389 | + | 0.189204i | ||||
\(686\) | 16.9965 | + | 20.2556i | 0.648929 | + | 0.773363i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.57107 | − | 3.67187i | −0.0980212 | − | 0.139989i | ||||
\(689\) | −1.17925 | + | 6.68785i | −0.0449258 | + | 0.254787i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 25.5999 | − | 21.4808i | 0.973865 | − | 0.817170i | −0.00928734 | − | 0.999957i | \(-0.502956\pi\) |
0.983153 | + | 0.182787i | \(0.0585118\pi\) | |||||||
\(692\) | −0.473473 | − | 1.76703i | −0.0179988 | − | 0.0671723i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 6.05298 | − | 3.49469i | 0.229768 | − | 0.132657i | ||||
\(695\) | 40.2653 | + | 9.66884i | 1.52735 | + | 0.366760i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.36159 | − | 26.9931i | −0.0894517 | − | 1.02244i | ||||
\(698\) | −24.8229 | − | 11.5751i | −0.939559 | − | 0.438124i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.13581 | − | 0.863157i | −0.0807261 | − | 0.0326243i | ||||
\(701\) | − | 12.4042i | − | 0.468499i | −0.972177 | − | 0.234249i | \(-0.924737\pi\) | ||
0.972177 | − | 0.234249i | \(-0.0752632\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.57003 | + | 4.57003i | −0.172362 | + | 0.172362i | ||||
\(704\) | −6.50508 | − | 36.8922i | −0.245170 | − | 1.39043i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −35.9678 | + | 13.0912i | −1.35367 | + | 0.492694i | ||||
\(707\) | 8.29809 | − | 0.725989i | 0.312082 | − | 0.0273036i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.29127 | + | 11.7902i | −0.161162 | + | 0.442789i | −0.993821 | − | 0.110998i | \(-0.964595\pi\) |
0.832659 | + | 0.553786i | \(0.186818\pi\) | |||||||
\(710\) | 16.6940 | + | 2.49573i | 0.626514 | + | 0.0936631i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 5.58994 | − | 1.49782i | 0.209492 | − | 0.0561332i | ||||
\(713\) | −13.5070 | − | 1.18171i | −0.505842 | − | 0.0442554i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −32.3121 | − | 36.5257i | −1.20840 | − | 1.36598i | ||||
\(716\) | 1.01940 | + | 0.179748i | 0.0380969 | + | 0.00671750i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.06408 | − | 23.5926i | 0.0770308 | − | 0.880466i | ||||
\(719\) | −9.10268 | + | 15.7663i | −0.339473 | + | 0.587984i | −0.984334 | − | 0.176316i | \(-0.943582\pi\) |
0.644861 | + | 0.764300i | \(0.276915\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −13.0717 | − | 22.6408i | −0.486815 | − | 0.843188i | ||||
\(722\) | −21.9081 | + | 10.2159i | −0.815334 | + | 0.380196i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.864744 | + | 1.03056i | −0.0321380 | + | 0.0383005i | ||||
\(725\) | −27.7006 | + | 17.9853i | −1.02877 | + | 0.667956i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.64377 | + | 8.06014i | −0.209316 | + | 0.298934i | −0.910058 | − | 0.414480i | \(-0.863963\pi\) |
0.700742 | + | 0.713414i | \(0.252852\pi\) | |||||||
\(728\) | 20.8369 | + | 20.8369i | 0.772267 | + | 0.772267i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −15.0845 | + | 1.71795i | −0.558304 | + | 0.0635841i | ||||
\(731\) | 4.06735 | − | 0.717184i | 0.150436 | − | 0.0265260i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −15.6224 | + | 33.5024i | −0.577027 | + | 1.23744i | 0.373740 | + | 0.927533i | \(0.378075\pi\) |
−0.950767 | + | 0.309905i | \(0.899703\pi\) | |||||||
\(734\) | −22.3146 | − | 18.7242i | −0.823646 | − | 0.691121i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.96332 | + | 2.53444i | 0.256671 | + | 0.0934207i | ||||
\(737\) | −40.1088 | − | 10.7471i | −1.47743 | − | 0.395875i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.02338 | − | 4.05495i | −0.258359 | − | 0.149164i | 0.365227 | − | 0.930919i | \(-0.380991\pi\) |
−0.623586 | + | 0.781755i | \(0.714325\pi\) | |||||||
\(740\) | 3.79368 | − | 0.0991631i | 0.139459 | − | 0.00364531i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −2.85416 | + | 1.99851i | −0.104780 | + | 0.0733675i | ||||
\(743\) | −25.5056 | + | 17.8592i | −0.935709 | + | 0.655190i | −0.938674 | − | 0.344805i | \(-0.887945\pi\) |
0.00296531 | + | 0.999996i | \(0.499056\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −14.0672 | − | 13.3505i | −0.515383 | − | 0.489126i | ||||
\(746\) | −19.8552 | − | 11.4634i | −0.726949 | − | 0.419704i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.13050 | + | 0.838814i | 0.114462 | + | 0.0306701i | ||||
\(749\) | 26.6979 | + | 9.71724i | 0.975519 | + | 0.355060i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13.4156 | − | 11.2570i | −0.489541 | − | 0.410774i | 0.364321 | − | 0.931273i | \(-0.381301\pi\) |
−0.853862 | + | 0.520500i | \(0.825746\pi\) | |||||||
\(752\) | 12.1000 | − | 25.9484i | 0.441240 | − | 0.946243i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 43.8023 | − | 7.72353i | 1.59519 | − | 0.281274i | ||||
\(755\) | −4.03140 | − | 35.3979i | −0.146718 | − | 1.28826i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.1777 | − | 20.1777i | −0.733371 | − | 0.733371i | 0.237915 | − | 0.971286i | \(-0.423536\pi\) |
−0.971286 | + | 0.237915i | \(0.923536\pi\) | |||||||
\(758\) | 20.7010 | − | 29.5641i | 0.751893 | − | 1.07381i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.64287 | − | 1.88837i | −0.204688 | − | 0.0684985i | ||||
\(761\) | −23.7584 | + | 28.3141i | −0.861240 | + | 1.02639i | 0.138113 | + | 0.990416i | \(0.455896\pi\) |
−0.999353 | + | 0.0359689i | \(0.988548\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −25.4545 | + | 11.8696i | −0.921516 | + | 0.429710i | ||||
\(764\) | 1.69744 | + | 2.94006i | 0.0614113 | + | 0.106368i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −4.88069 | + | 8.45360i | −0.176346 | + | 0.305441i | ||||
\(767\) | −2.15042 | + | 24.5794i | −0.0776472 | + | 0.887512i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.53754 | + | 1.50540i | 0.307872 | + | 0.0542861i | 0.325450 | − | 0.945559i | \(-0.394484\pi\) |
−0.0175779 | + | 0.999845i | \(0.505595\pi\) | |||||||
\(770\) | 1.52866 | − | 24.9742i | 0.0550891 | − | 0.900007i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.06755 | − | 0.355865i | −0.146394 | − | 0.0128078i | ||||
\(773\) | −11.3983 | + | 3.05417i | −0.409969 | + | 0.109851i | −0.457908 | − | 0.889000i | \(-0.651401\pi\) |
0.0479396 | + | 0.998850i | \(0.484734\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.26030 | − | 8.85975i | −0.296719 | − | 0.318252i | ||||
\(776\) | 13.7174 | − | 37.6882i | 0.492425 | − | 1.35293i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 41.3603 | − | 3.61856i | 1.48284 | − | 0.129732i | ||||
\(779\) | 7.12895 | − | 2.59472i | 0.255421 | − | 0.0929657i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.24560 | − | 24.0780i | −0.151919 | − | 0.861578i | ||||
\(782\) | 16.8270 | − | 16.8270i | 0.601733 | − | 0.601733i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | − | 11.0025i | − | 0.392947i | ||||||
\(785\) | −26.0856 | − | 14.1649i | −0.931035 | − | 0.505567i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 17.0214 | + | 7.93722i | 0.606748 | + | 0.282931i | 0.701612 | − | 0.712559i | \(-0.252464\pi\) |
−0.0948643 | + | 0.995490i | \(0.530242\pi\) | |||||||
\(788\) | −0.279178 | − | 3.19101i | −0.00994529 | − | 0.113675i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.05603 | − | 0.647065i | 0.0375717 | − | 0.0230215i | ||||
\(791\) | 23.1237 | − | 13.3505i | 0.822183 | − | 0.474687i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −11.0308 | − | 41.1675i | −0.391715 | − | 1.46190i | ||||
\(794\) | 16.7831 | − | 14.0827i | 0.595610 | − | 0.499776i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.367376 | + | 2.08349i | −0.0130213 | + | 0.0738475i | ||||
\(797\) | −12.3706 | − | 17.6670i | −0.438188 | − | 0.625797i | 0.537943 | − | 0.842981i | \(-0.319202\pi\) |
−0.976131 | + | 0.217184i | \(0.930313\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 16.9567 | + | 20.2082i | 0.599884 | + | 0.714914i | ||||
\(800\) | 3.10745 | + | 5.84558i | 0.109865 | + | 0.206673i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.519739 | + | 1.93969i | −0.0183526 | + | 0.0684929i | ||||
\(803\) | 9.29368 | + | 19.9304i | 0.327967 | + | 0.703327i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 20.4300 | + | 13.5237i | 0.720063 | + | 0.476648i | ||||
\(806\) | 5.57934 | + | 15.3291i | 0.196524 | + | 0.539945i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −10.3493 | − | 7.24665i | −0.364087 | − | 0.254936i | ||||
\(809\) | 4.46938 | 0.157135 | 0.0785676 | − | 0.996909i | \(-0.474965\pi\) | ||||
0.0785676 | + | 0.996909i | \(0.474965\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 37.9099 | 1.33120 | 0.665598 | − | 0.746311i | \(-0.268177\pi\) | ||||
0.665598 | + | 0.746311i | \(0.268177\pi\) | |||||||
\(812\) | −2.49292 | − | 1.74556i | −0.0874845 | − | 0.0612573i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 14.0978 | + | 38.7333i | 0.494127 | + | 1.35760i | ||||
\(815\) | 3.30762 | + | 16.2614i | 0.115861 | + | 0.569612i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.488696 | + | 1.04801i | 0.0170973 | + | 0.0366653i | ||||
\(818\) | 8.06996 | − | 30.1175i | 0.282159 | − | 1.05303i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −4.08511 | − | 1.77649i | −0.142658 | − | 0.0620376i | ||||
\(821\) | −23.1674 | − | 27.6099i | −0.808549 | − | 0.963591i | 0.191290 | − | 0.981533i | \(-0.438733\pi\) |
−0.999839 | + | 0.0179428i | \(0.994288\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 1.52711 | + | 2.18095i | 0.0532319 | + | 0.0760230i | 0.844886 | − | 0.534947i | \(-0.179668\pi\) |
−0.791654 | + | 0.610970i | \(0.790780\pi\) | |||||||
\(824\) | −6.88563 | + | 39.0504i | −0.239872 | + | 1.36038i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −9.69752 | + | 8.13719i | −0.337420 | + | 0.283129i | ||||
\(827\) | −10.6874 | − | 39.8859i | −0.371637 | − | 1.38697i | −0.858197 | − | 0.513321i | \(-0.828415\pi\) |
0.486560 | − | 0.873647i | \(-0.338252\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 19.6326 | − | 11.3349i | 0.681869 | − | 0.393677i | −0.118690 | − | 0.992931i | \(-0.537869\pi\) |
0.800559 | + | 0.599254i | \(0.204536\pi\) | |||||||
\(830\) | −6.42966 | + | 26.7759i | −0.223177 | + | 0.929406i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −3.84651 | − | 43.9658i | −0.133354 | − | 1.52424i | ||||
\(833\) | 9.18766 | + | 4.28428i | 0.318334 | + | 0.148441i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.78453 | − | 16.1773i | 0.304001 | − | 0.559838i | ||||
\(836\) | 0.907402i | 0.0313832i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 14.9429 | − | 14.9429i | 0.516195 | − | 0.516195i | ||||
\(839\) | 1.44230 | + | 8.17971i | 0.0497938 | + | 0.282395i | 0.999530 | − | 0.0306567i | \(-0.00975985\pi\) |
−0.949736 | + | 0.313052i | \(0.898649\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.7493 | + | 5.00432i | −0.474112 | + | 0.172563i | ||||
\(842\) | 48.0337 | − | 4.20240i | 1.65535 | − | 0.144824i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.50888 | + | 4.14562i | −0.0519379 | + | 0.142698i | ||||
\(845\) | −16.8824 | − | 22.8175i | −0.580771 | − | 0.784945i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −14.2054 | + | 3.80634i | −0.488105 | + | 0.130787i | ||||
\(848\) | 4.63650 | + | 0.405641i | 0.159218 | + | 0.0139298i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 21.2310 | − | 1.11067i | 0.728216 | − | 0.0380957i | ||||
\(851\) | −39.7487 | − | 7.00876i | −1.36257 | − | 0.240257i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.534954 | + | 6.11455i | −0.0183165 | + | 0.209358i | 0.981521 | + | 0.191352i | \(0.0612873\pi\) |
−0.999838 | + | 0.0180058i | \(0.994268\pi\) | |||||||
\(854\) | 10.9335 | − | 18.9374i | 0.374137 | − | 0.648024i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −21.5463 | − | 37.3193i | −0.736439 | − | 1.27555i | ||||
\(857\) | 31.3187 | − | 14.6042i | 1.06983 | − | 0.498869i | 0.193756 | − | 0.981050i | \(-0.437933\pi\) |
0.876072 | + | 0.482181i | \(0.160155\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.4078 | + | 17.1705i | −0.491587 | + | 0.585850i | −0.953620 | − | 0.301012i | \(-0.902676\pi\) |
0.462034 | + | 0.886862i | \(0.347120\pi\) | |||||||
\(860\) | 0.215478 | − | 0.643896i | 0.00734775 | − | 0.0219567i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −8.19621 | + | 11.7054i | −0.279164 | + | 0.398688i | ||||
\(863\) | −34.4337 | − | 34.4337i | −1.17214 | − | 1.17214i | −0.981700 | − | 0.190436i | \(-0.939010\pi\) |
−0.190436 | − | 0.981700i | \(-0.560990\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −10.8212 | + | 13.6029i | −0.367933 | + | 0.462511i | ||||
\(866\) | −47.8011 | + | 8.42862i | −1.62435 | + | 0.286416i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.471713 | − | 1.01159i | 0.0160110 | − | 0.0343357i | ||||
\(869\) | −1.37423 | − | 1.15312i | −0.0466175 | − | 0.0391168i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −45.9694 | − | 16.7315i | −1.55762 | − | 0.566926i | ||||
\(872\) | 41.1477 | + | 11.0255i | 1.39344 | + | 0.373370i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 5.77009 | + | 3.33137i | 0.195176 | + | 0.112685i | ||||
\(875\) | 5.47747 | + | 21.1921i | 0.185172 | + | 0.716423i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 11.3525 | − | 7.94910i | 0.383347 | − | 0.268422i | −0.365980 | − | 0.930623i | \(-0.619266\pi\) |
0.749327 | + | 0.662201i | \(0.230377\pi\) | |||||||
\(878\) | 15.1584 | − | 10.6140i | 0.511571 | − | 0.358206i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −23.0074 | + | 24.2425i | −0.775580 | + | 0.817214i | ||||
\(881\) | 20.3929 | + | 11.7738i | 0.687054 | + | 0.396671i | 0.802507 | − | 0.596642i | \(-0.203499\pi\) |
−0.115453 | + | 0.993313i | \(0.536832\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −15.8795 | − | 4.25489i | −0.534386 | − | 0.143188i | −0.0184733 | − | 0.999829i | \(-0.505881\pi\) |
−0.515913 | + | 0.856641i | \(0.672547\pi\) | |||||||
\(884\) | 3.58792 | + | 1.30590i | 0.120675 | + | 0.0439221i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 11.6044 | + | 9.73725i | 0.389857 | + | 0.327129i | ||||
\(887\) | 4.33234 | − | 9.29073i | 0.145466 | − | 0.311952i | −0.820052 | − | 0.572289i | \(-0.806056\pi\) |
0.965518 | + | 0.260336i | \(0.0838335\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.94156 | − | 1.22398i | 0.232812 | − | 0.0410511i | ||||
\(890\) | −4.53038 | − | 3.60397i | −0.151859 | − | 0.120805i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.76005 | + | 2.76005i | 0.0924133 | + | 0.0924133i | ||||
\(893\) | −4.23638 | + | 6.05018i | −0.141765 | + | 0.202461i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −4.38817 | − | 8.80234i | −0.146680 | − | 0.294230i | ||||
\(896\) | 11.2227 | − | 13.3748i | 0.374926 | − | 0.446819i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1.94540 | + | 0.907153i | −0.0649187 | + | 0.0302721i | ||||
\(899\) | −8.00123 | − | 13.8585i | −0.266856 | − | 0.462208i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.14414 | + | 3.71376i | −0.0714317 | + | 0.123723i | ||||
\(902\) | 4.21697 | − | 48.2002i | 0.140410 | − | 1.60489i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −39.8832 | − | 7.03248i | −1.32649 | − | 0.233897i | ||||
\(905\) | 12.7588 | + | 0.780964i | 0.424118 | + | 0.0259601i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −13.4551 | − | 1.17717i | −0.446769 | − | 0.0390872i | −0.138448 | − | 0.990370i | \(-0.544211\pi\) |
−0.308321 | + | 0.951283i | \(0.599767\pi\) | |||||||
\(908\) | −4.11293 | + | 1.10206i | −0.136492 | + | 0.0365730i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 4.35842 | − | 29.1535i | 0.144480 | − | 0.966430i | ||||
\(911\) | −4.95701 | + | 13.6193i | −0.164233 | + | 0.451227i | −0.994323 | − | 0.106403i | \(-0.966067\pi\) |
0.830090 | + | 0.557629i | \(0.188289\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 39.7348 | − | 3.47635i | 1.31503 | − | 0.115050i | ||||
\(914\) | −6.91502 | + | 2.51686i | −0.228729 | + | 0.0832504i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.776272 | − | 4.40246i | −0.0256488 | − | 0.145461i | ||||
\(917\) | 0.768724 | − | 0.768724i | 0.0253855 | − | 0.0253855i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 11.7599i | − | 0.387925i | −0.981009 | − | 0.193962i | \(-0.937866\pi\) | ||
0.981009 | − | 0.193962i | \(-0.0621340\pi\) | |||||||
\(920\) | −10.5526 | − | 35.6312i | −0.347910 | − | 1.17473i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −18.2970 | − | 8.53202i | −0.602579 | − | 0.280987i | ||||
\(923\) | −2.51046 | − | 28.6946i | −0.0826327 | − | 0.944496i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −22.1974 | − | 28.4169i | −0.729846 | − | 0.934340i | ||||
\(926\) | −38.0276 | + | 21.9552i | −1.24966 | + | 0.721494i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 2.26359 | + | 8.44784i | 0.0743061 | + | 0.277314i | ||||
\(929\) | −36.0388 | + | 30.2401i | −1.18239 | + | 0.992146i | −0.182433 | + | 0.983218i | \(0.558397\pi\) |
−0.999960 | + | 0.00892776i | \(0.997158\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.492867 | + | 2.79519i | −0.0161531 | + | 0.0916086i | ||||
\(932\) | −1.02089 | − | 1.45799i | −0.0334405 | − | 0.0477579i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −19.3932 | − | 23.1119i | −0.634563 | − | 0.756243i | ||||
\(935\) | −11.2848 | − | 28.6522i | −0.369054 | − | 0.937027i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −9.80740 | + | 36.6017i | −0.320394 | + | 1.19573i | 0.598468 | + | 0.801147i | \(0.295776\pi\) |
−0.918862 | + | 0.394580i | \(0.870890\pi\) | |||||||
\(938\) | −10.6074 | − | 22.7477i | −0.346346 | − | 0.742740i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 4.24987 | − | 0.864439i | 0.138616 | − | 0.0281949i | ||||
\(941\) | 3.79401 | + | 10.4240i | 0.123681 | + | 0.339811i | 0.986045 | − | 0.166477i | \(-0.0532392\pi\) |
−0.862364 | + | 0.506289i | \(0.831017\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 38.8098 | + | 27.1749i | 1.26382 | + | 0.884937i | ||||
\(944\) | 16.9098 | 0.550367 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 7.37489 | 0.239778 | ||||||||
\(947\) | 13.0294 | + | 9.12331i | 0.423400 | + | 0.296468i | 0.765791 | − | 0.643090i | \(-0.222348\pi\) |
−0.342391 | + | 0.939558i | \(0.611237\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.86092 | + | 24.3452i | 0.287638 | + | 0.790278i | ||||
\(950\) | 1.83887 | + | 5.66126i | 0.0596607 | + | 0.183675i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 7.86402 | + | 16.8644i | 0.254874 | + | 0.546580i | ||||
\(953\) | 9.45180 | − | 35.2746i | 0.306174 | − | 1.14266i | −0.625756 | − | 0.780019i | \(-0.715210\pi\) |
0.931930 | − | 0.362638i | \(-0.118124\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 12.8639 | − | 29.5813i | 0.416268 | − | 0.957227i | ||||
\(956\) | 1.89177 | + | 2.25453i | 0.0611843 | + | 0.0729167i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −17.4002 | − | 24.8501i | −0.562176 | − | 0.802871i | ||||
\(959\) | −2.05447 | + | 11.6515i | −0.0663422 | + | 0.376245i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −19.2514 | + | 16.1538i | −0.621012 | + | 0.521091i | ||||
\(962\) | 12.5685 | + | 46.9062i | 0.405224 | + | 1.51232i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 3.48953 | − | 2.01468i | 0.112390 | − | 0.0648886i | ||||
\(965\) | 20.2695 | + | 33.0803i | 0.652499 | + | 1.06489i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −0.170714 | − | 1.95128i | −0.00548981 | − | 0.0627488i | 0.992956 | − | 0.118487i | \(-0.0378044\pi\) |
−0.998445 | + | 0.0557381i | \(0.982249\pi\) | |||||||
\(968\) | 20.2162 | + | 9.42696i | 0.649773 | + | 0.302994i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −38.4685 | + | 11.3929i | −1.23515 | + | 0.365805i | ||||
\(971\) | 27.5442i | 0.883934i | 0.897031 | + | 0.441967i | \(0.145719\pi\) | ||||
−0.897031 | + | 0.441967i | \(0.854281\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 25.6369 | − | 25.6369i | 0.821881 | − | 0.821881i | ||||
\(974\) | 4.27366 | + | 24.2371i | 0.136937 | + | 0.776607i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −27.4477 | + | 9.99016i | −0.878581 | + | 0.319777i | ||||
\(977\) | 32.5167 | − | 2.84484i | 1.04030 | − | 0.0910146i | 0.445819 | − | 0.895123i | \(-0.352912\pi\) |
0.594483 | + | 0.804108i | \(0.297357\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.86792 | + | 7.87954i | −0.0916591 | + | 0.251831i | ||||
\(980\) | 1.33977 | − | 0.991278i | 0.0427973 | − | 0.0316652i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 11.8947 | − | 3.18718i | 0.379575 | − | 0.101707i | ||||
\(983\) | 31.9076 | + | 2.79155i | 1.01769 | + | 0.0890367i | 0.583775 | − | 0.811915i | \(-0.301575\pi\) |
0.433919 | + | 0.900952i | \(0.357130\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −22.7961 | + | 20.1664i | −0.726346 | + | 0.642556i | ||||
\(986\) | 27.6596 | + | 4.87713i | 0.880860 | + | 0.155319i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.0931716 | + | 1.06496i | −0.00296418 | + | 0.0338808i | ||||
\(989\) | −3.61075 | + | 6.25401i | −0.114815 | + | 0.198866i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 24.5859 | + | 42.5840i | 0.780995 | + | 1.35272i | 0.931362 | + | 0.364094i | \(0.118621\pi\) |
−0.150367 | + | 0.988630i | \(0.548046\pi\) | |||||||
\(992\) | −2.90712 | + | 1.35561i | −0.0923012 | + | 0.0430407i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 9.49956 | − | 11.3211i | 0.301308 | − | 0.359084i | ||||
\(995\) | 17.9906 | − | 8.96871i | 0.570339 | − | 0.284327i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −18.0163 | + | 25.7299i | −0.570581 | + | 0.814874i | −0.995928 | − | 0.0901563i | \(-0.971263\pi\) |
0.425347 | + | 0.905031i | \(0.360152\pi\) | |||||||
\(998\) | −19.4085 | − | 19.4085i | −0.614364 | − | 0.614364i | ||||
\(999\) | 0 | 0 |
(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 | 405.2.r.a.152.11 | 192 | ||
3.2 | odd | 2 | 135.2.q.a.122.6 | yes | 192 | ||
5.3 | odd | 4 | inner | 405.2.r.a.233.11 | 192 | ||
15.2 | even | 4 | 675.2.ba.b.68.11 | 192 | |||
15.8 | even | 4 | 135.2.q.a.68.6 | yes | 192 | ||
15.14 | odd | 2 | 675.2.ba.b.257.11 | 192 | |||
27.2 | odd | 18 | inner | 405.2.r.a.332.11 | 192 | ||
27.25 | even | 9 | 135.2.q.a.2.6 | ✓ | 192 | ||
135.52 | odd | 36 | 675.2.ba.b.218.11 | 192 | |||
135.79 | even | 18 | 675.2.ba.b.407.11 | 192 | |||
135.83 | even | 36 | inner | 405.2.r.a.8.11 | 192 | ||
135.133 | odd | 36 | 135.2.q.a.83.6 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.2.6 | ✓ | 192 | 27.25 | even | 9 | ||
135.2.q.a.68.6 | yes | 192 | 15.8 | even | 4 | ||
135.2.q.a.83.6 | yes | 192 | 135.133 | odd | 36 | ||
135.2.q.a.122.6 | yes | 192 | 3.2 | odd | 2 | ||
405.2.r.a.8.11 | 192 | 135.83 | even | 36 | inner | ||
405.2.r.a.152.11 | 192 | 1.1 | even | 1 | trivial | ||
405.2.r.a.233.11 | 192 | 5.3 | odd | 4 | inner | ||
405.2.r.a.332.11 | 192 | 27.2 | odd | 18 | inner | ||
675.2.ba.b.68.11 | 192 | 15.2 | even | 4 | |||
675.2.ba.b.218.11 | 192 | 135.52 | odd | 36 | |||
675.2.ba.b.257.11 | 192 | 15.14 | odd | 2 | |||
675.2.ba.b.407.11 | 192 | 135.79 | even | 18 |