Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(59,390)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(390, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.bj (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.11416567883\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 149.3 | ||
Character | \(\chi\) | \(=\) | 390.149 |
Dual form | 390.2.bj.a.89.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | ||||
\(3\) | −1.38738 | + | 1.03691i | −0.801005 | + | 0.598658i | ||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | 2.16904 | − | 0.543370i | 0.970026 | − | 0.243002i | ||||
\(6\) | 1.36065 | + | 1.07174i | 0.555485 | + | 0.437535i | ||||
\(7\) | −0.476190 | − | 0.127595i | −0.179983 | − | 0.0482262i | 0.167702 | − | 0.985838i | \(-0.446365\pi\) |
−0.347685 | + | 0.937612i | \(0.613032\pi\) | |||||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 0.849653 | − | 2.87717i | 0.283218 | − | 0.959056i | ||||
\(10\) | −1.08624 | − | 1.95450i | −0.343501 | − | 0.618067i | ||||
\(11\) | 1.42916 | + | 5.33370i | 0.430908 | + | 1.60817i | 0.750674 | + | 0.660673i | \(0.229729\pi\) |
−0.319766 | + | 0.947497i | \(0.603604\pi\) | |||||||
\(12\) | 0.683054 | − | 1.59168i | 0.197181 | − | 0.459478i | ||||
\(13\) | −3.60176 | + | 0.165292i | −0.998949 | + | 0.0458439i | ||||
\(14\) | 0.492988i | 0.131757i | ||||||||
\(15\) | −2.44587 | + | 3.00295i | −0.631520 | + | 0.775360i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 2.57602 | − | 1.48727i | 0.624777 | − | 0.360715i | −0.153949 | − | 0.988079i | \(-0.549199\pi\) |
0.778727 | + | 0.627363i | \(0.215866\pi\) | |||||||
\(18\) | −2.99904 | − | 0.0760362i | −0.706880 | − | 0.0179219i | ||||
\(19\) | 4.31217 | + | 1.15544i | 0.989279 | + | 0.265077i | 0.716948 | − | 0.697127i | \(-0.245539\pi\) |
0.272331 | + | 0.962204i | \(0.412205\pi\) | |||||||
\(20\) | −1.60676 | + | 1.55509i | −0.359283 | + | 0.347730i | ||||
\(21\) | 0.792960 | − | 0.316741i | 0.173038 | − | 0.0691186i | ||||
\(22\) | 4.78206 | − | 2.76092i | 1.01954 | − | 0.588631i | ||||
\(23\) | 5.06440 | + | 2.92393i | 1.05600 | + | 0.609682i | 0.924323 | − | 0.381611i | \(-0.124631\pi\) |
0.131677 | + | 0.991293i | \(0.457964\pi\) | |||||||
\(24\) | −1.71423 | − | 0.247824i | −0.349916 | − | 0.0505868i | ||||
\(25\) | 4.40950 | − | 2.35719i | 0.881900 | − | 0.471437i | ||||
\(26\) | 1.09186 | + | 3.43625i | 0.214132 | + | 0.673905i | ||||
\(27\) | 1.80456 | + | 4.87274i | 0.347287 | + | 0.937759i | ||||
\(28\) | 0.476190 | − | 0.127595i | 0.0899914 | − | 0.0241131i | ||||
\(29\) | 4.83689 | + | 2.79258i | 0.898188 | + | 0.518569i | 0.876612 | − | 0.481198i | \(-0.159798\pi\) |
0.0215765 | + | 0.999767i | \(0.493131\pi\) | |||||||
\(30\) | 3.53367 | + | 1.58530i | 0.645157 | + | 0.289436i | ||||
\(31\) | 2.68949 | − | 2.68949i | 0.483046 | − | 0.483046i | −0.423057 | − | 0.906103i | \(-0.639043\pi\) |
0.906103 | + | 0.423057i | \(0.139043\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | −7.51333 | − | 5.91797i | −1.30790 | − | 1.03019i | ||||
\(34\) | −2.10331 | − | 2.10331i | −0.360715 | − | 0.360715i | ||||
\(35\) | −1.10221 | − | 0.0180112i | −0.186307 | − | 0.00304445i | ||||
\(36\) | 0.702762 | + | 2.91653i | 0.117127 | + | 0.486088i | ||||
\(37\) | 1.20369 | + | 4.49224i | 0.197886 | + | 0.738519i | 0.991501 | + | 0.130099i | \(0.0415297\pi\) |
−0.793615 | + | 0.608420i | \(0.791804\pi\) | |||||||
\(38\) | − | 4.46428i | − | 0.724203i | ||||||
\(39\) | 4.82562 | − | 3.96401i | 0.772718 | − | 0.634750i | ||||
\(40\) | 1.91797 | + | 1.14952i | 0.303257 | + | 0.181756i | ||||
\(41\) | −0.293136 | + | 0.0785456i | −0.0457802 | + | 0.0122668i | −0.281636 | − | 0.959521i | \(-0.590877\pi\) |
0.235856 | + | 0.971788i | \(0.424211\pi\) | |||||||
\(42\) | −0.511182 | − | 0.683962i | −0.0788771 | − | 0.105538i | ||||
\(43\) | 0.151725 | + | 0.262796i | 0.0231379 | + | 0.0400760i | 0.877362 | − | 0.479828i | \(-0.159301\pi\) |
−0.854225 | + | 0.519904i | \(0.825968\pi\) | |||||||
\(44\) | −3.90454 | − | 3.90454i | −0.588631 | − | 0.588631i | ||||
\(45\) | 0.279569 | − | 6.70238i | 0.0416756 | − | 0.999131i | ||||
\(46\) | 1.51354 | − | 5.64860i | 0.223159 | − | 0.832841i | ||||
\(47\) | 4.68038 | + | 4.68038i | 0.682704 | + | 0.682704i | 0.960609 | − | 0.277905i | \(-0.0896399\pi\) |
−0.277905 | + | 0.960609i | \(0.589640\pi\) | |||||||
\(48\) | 0.204296 | + | 1.71996i | 0.0294876 | + | 0.248255i | ||||
\(49\) | −5.85170 | − | 3.37848i | −0.835957 | − | 0.482640i | ||||
\(50\) | −3.41813 | − | 3.64916i | −0.483396 | − | 0.516070i | ||||
\(51\) | −2.03177 | + | 4.73450i | −0.284505 | + | 0.662963i | ||||
\(52\) | 3.03657 | − | 1.94403i | 0.421096 | − | 0.269588i | ||||
\(53\) | −8.82159 | −1.21174 | −0.605869 | − | 0.795564i | \(-0.707175\pi\) | ||||
−0.605869 | + | 0.795564i | \(0.707175\pi\) | |||||||
\(54\) | 4.23965 | − | 3.00423i | 0.576943 | − | 0.408823i | ||||
\(55\) | 5.99808 | + | 10.7925i | 0.808781 | + | 1.45525i | ||||
\(56\) | −0.246494 | − | 0.426940i | −0.0329391 | − | 0.0570522i | ||||
\(57\) | −7.18070 | + | 2.86827i | −0.951107 | + | 0.379912i | ||||
\(58\) | 1.44555 | − | 5.39485i | 0.189810 | − | 0.708379i | ||||
\(59\) | −12.8790 | − | 3.45091i | −1.67670 | − | 0.449271i | −0.709796 | − | 0.704408i | \(-0.751213\pi\) |
−0.966905 | + | 0.255137i | \(0.917879\pi\) | |||||||
\(60\) | 0.616705 | − | 3.82357i | 0.0796163 | − | 0.493621i | ||||
\(61\) | 0.638565 | + | 1.10603i | 0.0817598 | + | 0.141612i | 0.904006 | − | 0.427520i | \(-0.140613\pi\) |
−0.822246 | + | 0.569132i | \(0.807279\pi\) | |||||||
\(62\) | −3.29394 | − | 1.90175i | −0.418330 | − | 0.241523i | ||||
\(63\) | −0.771707 | + | 1.26167i | −0.0972259 | + | 0.158955i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −7.72256 | + | 2.31561i | −0.957866 | + | 0.287217i | ||||
\(66\) | −3.77172 | + | 8.78900i | −0.464267 | + | 1.08185i | ||||
\(67\) | 3.46000 | − | 0.927104i | 0.422706 | − | 0.113264i | −0.0411942 | − | 0.999151i | \(-0.513116\pi\) |
0.463900 | + | 0.885887i | \(0.346450\pi\) | |||||||
\(68\) | −1.48727 | + | 2.57602i | −0.180358 | + | 0.312389i | ||||
\(69\) | −10.0581 | + | 1.19470i | −1.21085 | + | 0.143824i | ||||
\(70\) | 0.267875 | + | 1.06931i | 0.0320171 | + | 0.127807i | ||||
\(71\) | 3.67384 | − | 13.7110i | 0.436005 | − | 1.62719i | −0.302645 | − | 0.953103i | \(-0.597870\pi\) |
0.738650 | − | 0.674089i | \(-0.235464\pi\) | |||||||
\(72\) | 2.63526 | − | 1.43367i | 0.310568 | − | 0.168959i | ||||
\(73\) | 1.84532 | − | 1.84532i | 0.215979 | − | 0.215979i | −0.590823 | − | 0.806801i | \(-0.701197\pi\) |
0.806801 | + | 0.590823i | \(0.201197\pi\) | |||||||
\(74\) | 4.02763 | − | 2.32535i | 0.468202 | − | 0.270317i | ||||
\(75\) | −3.67348 | + | 7.84255i | −0.424177 | + | 0.905580i | ||||
\(76\) | −4.31217 | + | 1.15544i | −0.494640 | + | 0.132538i | ||||
\(77\) | − | 2.72220i | − | 0.310224i | ||||||
\(78\) | −5.07790 | − | 3.63523i | −0.574959 | − | 0.411609i | ||||
\(79\) | −5.77102 | −0.649291 | −0.324645 | − | 0.945836i | \(-0.605245\pi\) | ||||
−0.324645 | + | 0.945836i | \(0.605245\pi\) | |||||||
\(80\) | 0.613950 | − | 2.15013i | 0.0686417 | − | 0.240392i | ||||
\(81\) | −7.55618 | − | 4.88919i | −0.839576 | − | 0.543243i | ||||
\(82\) | 0.151738 | + | 0.262819i | 0.0167567 | + | 0.0290235i | ||||
\(83\) | −7.09509 | + | 7.09509i | −0.778787 | + | 0.778787i | −0.979625 | − | 0.200837i | \(-0.935634\pi\) |
0.200837 | + | 0.979625i | \(0.435634\pi\) | |||||||
\(84\) | −0.528353 | + | 0.670786i | −0.0576480 | + | 0.0731888i | ||||
\(85\) | 4.77937 | − | 4.62568i | 0.518395 | − | 0.501726i | ||||
\(86\) | 0.214572 | − | 0.214572i | 0.0231379 | − | 0.0231379i | ||||
\(87\) | −9.60626 | + | 1.14103i | −1.02990 | + | 0.122331i | ||||
\(88\) | −2.76092 | + | 4.78206i | −0.294316 | + | 0.509769i | ||||
\(89\) | 2.33031 | + | 8.69682i | 0.247012 | + | 0.921861i | 0.972362 | + | 0.233480i | \(0.0750115\pi\) |
−0.725350 | + | 0.688381i | \(0.758322\pi\) | |||||||
\(90\) | −6.54636 | + | 1.46466i | −0.690046 | + | 0.154389i | ||||
\(91\) | 1.73621 | + | 0.380855i | 0.182004 | + | 0.0399244i | ||||
\(92\) | −5.84786 | −0.609682 | ||||||||
\(93\) | −0.942599 | + | 6.52009i | −0.0977430 | + | 0.676102i | ||||
\(94\) | 3.30953 | − | 5.73228i | 0.341352 | − | 0.591239i | ||||
\(95\) | 9.98111 | + | 0.163102i | 1.02404 | + | 0.0167339i | ||||
\(96\) | 1.60848 | − | 0.642493i | 0.164165 | − | 0.0655742i | ||||
\(97\) | 2.93548 | − | 10.9554i | 0.298053 | − | 1.11235i | −0.640709 | − | 0.767784i | \(-0.721360\pi\) |
0.938762 | − | 0.344565i | \(-0.111974\pi\) | |||||||
\(98\) | −1.74883 | + | 6.52673i | −0.176659 | + | 0.659299i | ||||
\(99\) | 16.5602 | + | 0.419860i | 1.66437 | + | 0.0421975i | ||||
\(100\) | −2.64015 | + | 4.24613i | −0.264015 | + | 0.424613i | ||||
\(101\) | 5.46002 | − | 9.45704i | 0.543293 | − | 0.941010i | −0.455420 | − | 0.890277i | \(-0.650511\pi\) |
0.998712 | − | 0.0507335i | \(-0.0161559\pi\) | |||||||
\(102\) | 5.09904 | + | 0.737160i | 0.504880 | + | 0.0729897i | ||||
\(103\) | −12.8623 | −1.26736 | −0.633679 | − | 0.773596i | \(-0.718456\pi\) | ||||
−0.633679 | + | 0.773596i | \(0.718456\pi\) | |||||||
\(104\) | −2.66371 | − | 2.42995i | −0.261198 | − | 0.238276i | ||||
\(105\) | 1.54786 | − | 1.11790i | 0.151055 | − | 0.109095i | ||||
\(106\) | 2.28320 | + | 8.52100i | 0.221764 | + | 0.827633i | ||||
\(107\) | −1.06679 | + | 1.84774i | −0.103131 | + | 0.178627i | −0.912973 | − | 0.408020i | \(-0.866219\pi\) |
0.809842 | + | 0.586648i | \(0.199553\pi\) | |||||||
\(108\) | −3.99916 | − | 3.31764i | −0.384820 | − | 0.319240i | ||||
\(109\) | 4.32465 | − | 4.32465i | 0.414227 | − | 0.414227i | −0.468981 | − | 0.883208i | \(-0.655379\pi\) |
0.883208 | + | 0.468981i | \(0.155379\pi\) | |||||||
\(110\) | 8.87230 | − | 8.58699i | 0.845940 | − | 0.818738i | ||||
\(111\) | −6.32801 | − | 4.98433i | −0.600628 | − | 0.473092i | ||||
\(112\) | −0.348595 | + | 0.348595i | −0.0329391 | + | 0.0329391i | ||||
\(113\) | 7.20026 | + | 12.4712i | 0.677344 | + | 1.17319i | 0.975778 | + | 0.218764i | \(0.0702024\pi\) |
−0.298434 | + | 0.954430i | \(0.596464\pi\) | |||||||
\(114\) | 4.62904 | + | 6.19366i | 0.433549 | + | 0.580090i | ||||
\(115\) | 12.5737 | + | 3.59029i | 1.17250 | + | 0.334797i | ||||
\(116\) | −5.58516 | −0.518569 | ||||||||
\(117\) | −2.58467 | + | 10.5033i | −0.238953 | + | 0.971031i | ||||
\(118\) | 13.3333i | 1.22743i | ||||||||
\(119\) | −1.41644 | + | 0.379535i | −0.129845 | + | 0.0347919i | ||||
\(120\) | −3.85290 | + | 0.393921i | −0.351720 | + | 0.0359599i | ||||
\(121\) | −16.8795 | + | 9.74541i | −1.53450 | + | 0.885946i | ||||
\(122\) | 0.903067 | − | 0.903067i | 0.0817598 | − | 0.0817598i | ||||
\(123\) | 0.325247 | − | 0.412927i | 0.0293265 | − | 0.0372324i | ||||
\(124\) | −0.984421 | + | 3.67391i | −0.0884036 | + | 0.329927i | ||||
\(125\) | 8.28357 | − | 7.50883i | 0.740905 | − | 0.671610i | ||||
\(126\) | 1.41841 | + | 0.418868i | 0.126362 | + | 0.0373158i | ||||
\(127\) | −2.95100 | + | 5.11128i | −0.261859 | + | 0.453553i | −0.966736 | − | 0.255777i | \(-0.917669\pi\) |
0.704877 | + | 0.709329i | \(0.251002\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | −0.482995 | − | 0.207273i | −0.0425254 | − | 0.0182494i | ||||
\(130\) | 4.23546 | + | 6.86010i | 0.371474 | + | 0.601670i | ||||
\(131\) | − | 1.57927i | − | 0.137981i | −0.997617 | − | 0.0689906i | \(-0.978022\pi\) | ||
0.997617 | − | 0.0689906i | \(-0.0219778\pi\) | |||||||
\(132\) | 9.46572 | + | 1.36844i | 0.823885 | + | 0.119108i | ||||
\(133\) | −1.90598 | − | 1.10042i | −0.165270 | − | 0.0954184i | ||||
\(134\) | −1.79103 | − | 3.10215i | −0.154721 | − | 0.267985i | ||||
\(135\) | 6.56186 | + | 9.58864i | 0.564755 | + | 0.825258i | ||||
\(136\) | 2.87318 | + | 0.769866i | 0.246373 | + | 0.0660155i | ||||
\(137\) | 3.08682 | − | 11.5202i | 0.263725 | − | 0.984234i | −0.699302 | − | 0.714827i | \(-0.746506\pi\) |
0.963026 | − | 0.269407i | \(-0.0868278\pi\) | |||||||
\(138\) | 3.75721 | + | 9.40616i | 0.319835 | + | 0.800705i | ||||
\(139\) | −0.668820 | − | 1.15843i | −0.0567285 | − | 0.0982567i | 0.836267 | − | 0.548323i | \(-0.184734\pi\) |
−0.892995 | + | 0.450066i | \(0.851400\pi\) | |||||||
\(140\) | 0.963545 | − | 0.535505i | 0.0814344 | − | 0.0452585i | ||||
\(141\) | −11.3466 | − | 1.64036i | −0.955555 | − | 0.138143i | ||||
\(142\) | −14.1946 | −1.19119 | ||||||||
\(143\) | −6.02911 | − | 18.9745i | −0.504180 | − | 1.58672i | ||||
\(144\) | −2.06687 | − | 2.17440i | −0.172239 | − | 0.181200i | ||||
\(145\) | 12.0088 | + | 3.42901i | 0.997279 | + | 0.284764i | ||||
\(146\) | −2.26005 | − | 1.30484i | −0.187043 | − | 0.107989i | ||||
\(147\) | 11.6217 | − | 1.38042i | 0.958542 | − | 0.113855i | ||||
\(148\) | −3.28855 | − | 3.28855i | −0.270317 | − | 0.270317i | ||||
\(149\) | −4.77533 | + | 17.8218i | −0.391210 | + | 1.46002i | 0.436930 | + | 0.899495i | \(0.356066\pi\) |
−0.828140 | + | 0.560521i | \(0.810601\pi\) | |||||||
\(150\) | 8.52609 | + | 1.51850i | 0.696152 | + | 0.123985i | ||||
\(151\) | −10.0210 | − | 10.0210i | −0.815500 | − | 0.815500i | 0.169953 | − | 0.985452i | \(-0.445639\pi\) |
−0.985452 | + | 0.169953i | \(0.945639\pi\) | |||||||
\(152\) | 2.23214 | + | 3.86618i | 0.181051 | + | 0.313589i | ||||
\(153\) | −2.09039 | − | 8.67531i | −0.168998 | − | 0.701357i | ||||
\(154\) | −2.62945 | + | 0.704558i | −0.211887 | + | 0.0567749i | ||||
\(155\) | 4.37223 | − | 7.29500i | 0.351186 | − | 0.585949i | ||||
\(156\) | −2.19711 | + | 5.84574i | −0.175909 | + | 0.468034i | ||||
\(157\) | − | 17.3334i | − | 1.38336i | −0.722204 | − | 0.691680i | \(-0.756871\pi\) | ||
0.722204 | − | 0.691680i | \(-0.243129\pi\) | |||||||
\(158\) | 1.49365 | + | 5.57438i | 0.118828 | + | 0.443474i | ||||
\(159\) | 12.2389 | − | 9.14716i | 0.970608 | − | 0.725417i | ||||
\(160\) | −2.23577 | − | 0.0365349i | −0.176753 | − | 0.00288833i | ||||
\(161\) | −2.03854 | − | 2.03854i | −0.160659 | − | 0.160659i | ||||
\(162\) | −2.76691 | + | 8.56412i | −0.217389 | + | 0.672861i | ||||
\(163\) | −14.0393 | − | 3.76181i | −1.09964 | − | 0.294648i | −0.337022 | − | 0.941497i | \(-0.609420\pi\) |
−0.762618 | + | 0.646849i | \(0.776086\pi\) | |||||||
\(164\) | 0.214591 | − | 0.214591i | 0.0167567 | − | 0.0167567i | ||||
\(165\) | −19.5124 | − | 8.75381i | −1.51904 | − | 0.681483i | ||||
\(166\) | 8.68968 | + | 5.01699i | 0.674450 | + | 0.389394i | ||||
\(167\) | −16.3843 | + | 4.39016i | −1.26786 | + | 0.339721i | −0.829209 | − | 0.558939i | \(-0.811209\pi\) |
−0.438647 | + | 0.898660i | \(0.644542\pi\) | |||||||
\(168\) | 0.784677 | + | 0.336737i | 0.0605392 | + | 0.0259799i | ||||
\(169\) | 12.9454 | − | 1.19069i | 0.995797 | − | 0.0915913i | ||||
\(170\) | −5.70506 | − | 3.41930i | −0.437558 | − | 0.262249i | ||||
\(171\) | 6.98824 | − | 11.4251i | 0.534404 | − | 0.873699i | ||||
\(172\) | −0.262796 | − | 0.151725i | −0.0200380 | − | 0.0115689i | ||||
\(173\) | 19.5222 | − | 11.2712i | 1.48425 | − | 0.856930i | 0.484407 | − | 0.874843i | \(-0.339036\pi\) |
0.999840 | + | 0.0179130i | \(0.00570219\pi\) | |||||||
\(174\) | 3.58843 | + | 8.98361i | 0.272038 | + | 0.681046i | ||||
\(175\) | −2.40052 | + | 0.559839i | −0.181462 | + | 0.0423198i | ||||
\(176\) | 5.33370 | + | 1.42916i | 0.402042 | + | 0.107727i | ||||
\(177\) | 21.4463 | − | 8.56656i | 1.61200 | − | 0.643902i | ||||
\(178\) | 7.79736 | − | 4.50181i | 0.584436 | − | 0.337425i | ||||
\(179\) | −8.11445 | + | 14.0546i | −0.606502 | + | 1.05049i | 0.385310 | + | 0.922787i | \(0.374095\pi\) |
−0.991812 | + | 0.127706i | \(0.959239\pi\) | |||||||
\(180\) | 3.10907 | + | 5.94421i | 0.231737 | + | 0.443055i | ||||
\(181\) | − | 19.9269i | − | 1.48115i | −0.671973 | − | 0.740576i | \(-0.734553\pi\) | ||
0.671973 | − | 0.740576i | \(-0.265447\pi\) | |||||||
\(182\) | −0.0814871 | − | 1.77562i | −0.00604023 | − | 0.131618i | ||||
\(183\) | −2.03278 | − | 0.872349i | −0.150267 | − | 0.0644859i | ||||
\(184\) | 1.51354 | + | 5.64860i | 0.111580 | + | 0.416420i | ||||
\(185\) | 5.05181 | + | 9.08981i | 0.371416 | + | 0.668296i | ||||
\(186\) | 6.54189 | − | 0.777042i | 0.479674 | − | 0.0569755i | ||||
\(187\) | 11.6142 | + | 11.6142i | 0.849313 | + | 0.849313i | ||||
\(188\) | −6.39352 | − | 1.71314i | −0.466296 | − | 0.124944i | ||||
\(189\) | −0.237577 | − | 2.55060i | −0.0172812 | − | 0.185529i | ||||
\(190\) | −2.42576 | − | 9.68323i | −0.175983 | − | 0.702495i | ||||
\(191\) | 11.8660 | − | 6.85084i | 0.858594 | − | 0.495709i | −0.00494724 | − | 0.999988i | \(-0.501575\pi\) |
0.863541 | + | 0.504278i | \(0.168241\pi\) | |||||||
\(192\) | −1.03691 | − | 1.38738i | −0.0748322 | − | 0.100126i | ||||
\(193\) | −6.35154 | − | 23.7043i | −0.457194 | − | 1.70627i | −0.681556 | − | 0.731766i | \(-0.738697\pi\) |
0.224362 | − | 0.974506i | \(-0.427970\pi\) | |||||||
\(194\) | −11.3418 | −0.814296 | ||||||||
\(195\) | 8.31306 | − | 11.2202i | 0.595311 | − | 0.803496i | ||||
\(196\) | 6.75696 | 0.482640 | ||||||||
\(197\) | 0.641609 | + | 2.39452i | 0.0457127 | + | 0.170602i | 0.985008 | − | 0.172507i | \(-0.0551866\pi\) |
−0.939296 | + | 0.343109i | \(0.888520\pi\) | |||||||
\(198\) | −3.88055 | − | 16.1046i | −0.275779 | − | 1.14451i | ||||
\(199\) | −2.69792 | + | 1.55764i | −0.191250 | + | 0.110418i | −0.592568 | − | 0.805521i | \(-0.701886\pi\) |
0.401317 | + | 0.915939i | \(0.368552\pi\) | |||||||
\(200\) | 4.78477 | + | 1.45120i | 0.338334 | + | 0.102616i | ||||
\(201\) | −3.83902 | + | 4.87394i | −0.270783 | + | 0.343781i | ||||
\(202\) | −10.5480 | − | 2.82632i | −0.742152 | − | 0.198859i | ||||
\(203\) | −1.94696 | − | 1.94696i | −0.136650 | − | 0.136650i | ||||
\(204\) | −0.607686 | − | 5.11608i | −0.0425465 | − | 0.358197i | ||||
\(205\) | −0.593146 | + | 0.329650i | −0.0414271 | + | 0.0230238i | ||||
\(206\) | 3.32900 | + | 12.4240i | 0.231942 | + | 0.865621i | ||||
\(207\) | 12.7156 | − | 12.0868i | 0.883797 | − | 0.840090i | ||||
\(208\) | −1.65773 | + | 3.20186i | −0.114943 | + | 0.222009i | ||||
\(209\) | 24.6511i | 1.70515i | ||||||||
\(210\) | −1.48042 | − | 1.20578i | −0.102159 | − | 0.0832069i | ||||
\(211\) | −11.6902 | + | 20.2480i | −0.804786 | + | 1.39393i | 0.111650 | + | 0.993748i | \(0.464387\pi\) |
−0.916435 | + | 0.400183i | \(0.868947\pi\) | |||||||
\(212\) | 7.63972 | − | 4.41079i | 0.524698 | − | 0.302935i | ||||
\(213\) | 9.11996 | + | 22.8318i | 0.624889 | + | 1.56441i | ||||
\(214\) | 2.06088 | + | 0.552212i | 0.140879 | + | 0.0377484i | ||||
\(215\) | 0.471894 | + | 0.487573i | 0.0321829 | + | 0.0332522i | ||||
\(216\) | −2.16953 | + | 4.72156i | −0.147618 | + | 0.321262i | ||||
\(217\) | −1.62387 | + | 0.937542i | −0.110235 | + | 0.0636445i | ||||
\(218\) | −5.29660 | − | 3.05799i | −0.358731 | − | 0.207113i | ||||
\(219\) | −0.646740 | + | 4.47359i | −0.0437027 | + | 0.302297i | ||||
\(220\) | −10.5907 | − | 6.34750i | −0.714026 | − | 0.427949i | ||||
\(221\) | −9.03238 | + | 5.78258i | −0.607584 | + | 0.388978i | ||||
\(222\) | −3.17669 | + | 7.40242i | −0.213205 | + | 0.496818i | ||||
\(223\) | 10.0913 | − | 2.70396i | 0.675765 | − | 0.181071i | 0.0954146 | − | 0.995438i | \(-0.469582\pi\) |
0.580350 | + | 0.814367i | \(0.302916\pi\) | |||||||
\(224\) | 0.426940 | + | 0.246494i | 0.0285261 | + | 0.0164696i | ||||
\(225\) | −3.03547 | − | 14.6897i | −0.202365 | − | 0.979310i | ||||
\(226\) | 10.1827 | − | 10.1827i | 0.677344 | − | 0.677344i | ||||
\(227\) | 20.9998 | + | 5.62689i | 1.39381 | + | 0.373470i | 0.876117 | − | 0.482098i | \(-0.160125\pi\) |
0.517691 | + | 0.855568i | \(0.326792\pi\) | |||||||
\(228\) | 4.78454 | − | 6.07435i | 0.316864 | − | 0.402284i | ||||
\(229\) | 11.4586 | + | 11.4586i | 0.757208 | + | 0.757208i | 0.975813 | − | 0.218605i | \(-0.0701507\pi\) |
−0.218605 | + | 0.975813i | \(0.570151\pi\) | |||||||
\(230\) | 0.213651 | − | 13.0745i | 0.0140877 | − | 0.862105i | ||||
\(231\) | 2.82267 | + | 3.77673i | 0.185718 | + | 0.248491i | ||||
\(232\) | 1.44555 | + | 5.39485i | 0.0949048 | + | 0.354189i | ||||
\(233\) | 17.6976i | 1.15941i | 0.814828 | + | 0.579703i | \(0.196831\pi\) | ||||
−0.814828 | + | 0.579703i | \(0.803169\pi\) | |||||||
\(234\) | 10.8144 | − | 0.221854i | 0.706958 | − | 0.0145030i | ||||
\(235\) | 12.6951 | + | 7.60878i | 0.828139 | + | 0.496342i | ||||
\(236\) | 12.8790 | − | 3.45091i | 0.838350 | − | 0.224635i | ||||
\(237\) | 8.00661 | − | 5.98401i | 0.520085 | − | 0.388703i | ||||
\(238\) | 0.733205 | + | 1.26995i | 0.0475266 | + | 0.0823185i | ||||
\(239\) | 2.19890 | + | 2.19890i | 0.142235 | + | 0.142235i | 0.774639 | − | 0.632404i | \(-0.217932\pi\) |
−0.632404 | + | 0.774639i | \(0.717932\pi\) | |||||||
\(240\) | 1.37770 | + | 3.61966i | 0.0889303 | + | 0.233648i | ||||
\(241\) | −2.75426 | + | 10.2790i | −0.177418 | + | 0.662132i | 0.818710 | + | 0.574208i | \(0.194690\pi\) |
−0.996127 | + | 0.0879239i | \(0.971977\pi\) | |||||||
\(242\) | 13.7821 | + | 13.7821i | 0.885946 | + | 0.885946i | ||||
\(243\) | 15.5529 | − | 1.05188i | 0.997721 | − | 0.0674781i | ||||
\(244\) | −1.10603 | − | 0.638565i | −0.0708061 | − | 0.0408799i | ||||
\(245\) | −14.5284 | − | 4.14844i | −0.928183 | − | 0.265034i | ||||
\(246\) | −0.483037 | − | 0.207291i | −0.0307973 | − | 0.0132164i | ||||
\(247\) | −15.7224 | − | 3.44886i | −1.00039 | − | 0.219445i | ||||
\(248\) | 3.80351 | 0.241523 | ||||||||
\(249\) | 2.48666 | − | 17.2005i | 0.157585 | − | 1.09004i | ||||
\(250\) | −9.39691 | − | 6.05789i | −0.594313 | − | 0.383134i | ||||
\(251\) | −7.05000 | − | 12.2109i | −0.444992 | − | 0.770748i | 0.553060 | − | 0.833141i | \(-0.313460\pi\) |
−0.998052 | + | 0.0623932i | \(0.980127\pi\) | |||||||
\(252\) | 0.0374849 | − | 1.47849i | 0.00236133 | − | 0.0931360i | ||||
\(253\) | −8.35753 | + | 31.1907i | −0.525433 | + | 1.96094i | ||||
\(254\) | 5.70089 | + | 1.52755i | 0.357706 | + | 0.0958470i | ||||
\(255\) | −1.83441 | + | 11.3733i | −0.114875 | + | 0.712226i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −17.0832 | − | 9.86300i | −1.06562 | − | 0.615237i | −0.138640 | − | 0.990343i | \(-0.544273\pi\) |
−0.926982 | + | 0.375106i | \(0.877606\pi\) | |||||||
\(258\) | −0.0752022 | + | 0.520184i | −0.00468188 | + | 0.0323852i | ||||
\(259\) | − | 2.29274i | − | 0.142464i | ||||||
\(260\) | 5.53013 | − | 5.86666i | 0.342964 | − | 0.363835i | ||||
\(261\) | 12.1444 | − | 11.5438i | 0.751720 | − | 0.714545i | ||||
\(262\) | −1.52545 | + | 0.408744i | −0.0942429 | + | 0.0252523i | ||||
\(263\) | −1.02790 | + | 1.78038i | −0.0633831 | + | 0.109783i | −0.895976 | − | 0.444103i | \(-0.853522\pi\) |
0.832593 | + | 0.553886i | \(0.186856\pi\) | |||||||
\(264\) | −1.12809 | − | 9.49736i | −0.0694293 | − | 0.584522i | ||||
\(265\) | −19.1344 | + | 4.79338i | −1.17542 | + | 0.294455i | ||||
\(266\) | −0.569619 | + | 2.12585i | −0.0349256 | + | 0.130344i | ||||
\(267\) | −12.2508 | − | 9.64950i | −0.749737 | − | 0.590540i | ||||
\(268\) | −2.53290 | + | 2.53290i | −0.154721 | + | 0.154721i | ||||
\(269\) | −11.2599 | + | 6.50088i | −0.686525 | + | 0.396366i | −0.802309 | − | 0.596909i | \(-0.796395\pi\) |
0.115784 | + | 0.993274i | \(0.463062\pi\) | |||||||
\(270\) | 7.56358 | − | 8.82000i | 0.460305 | − | 0.536768i | ||||
\(271\) | 23.6810 | − | 6.34532i | 1.43852 | − | 0.385450i | 0.546505 | − | 0.837456i | \(-0.315958\pi\) |
0.892015 | + | 0.452005i | \(0.149291\pi\) | |||||||
\(272\) | − | 2.97454i | − | 0.180358i | ||||||
\(273\) | −2.80370 | + | 1.27190i | −0.169687 | + | 0.0769787i | ||||
\(274\) | −11.9266 | −0.720509 | ||||||||
\(275\) | 18.8744 | + | 20.1501i | 1.13817 | + | 1.21510i | ||||
\(276\) | 8.11321 | − | 6.06368i | 0.488358 | − | 0.364991i | ||||
\(277\) | −1.52099 | − | 2.63443i | −0.0913874 | − | 0.158288i | 0.816708 | − | 0.577051i | \(-0.195797\pi\) |
−0.908095 | + | 0.418764i | \(0.862463\pi\) | |||||||
\(278\) | −0.945854 | + | 0.945854i | −0.0567285 | + | 0.0567285i | ||||
\(279\) | −5.45297 | − | 10.0232i | −0.326461 | − | 0.600075i | ||||
\(280\) | −0.766642 | − | 0.792114i | −0.0458156 | − | 0.0473379i | ||||
\(281\) | 7.21651 | − | 7.21651i | 0.430501 | − | 0.430501i | −0.458298 | − | 0.888799i | \(-0.651541\pi\) |
0.888799 | + | 0.458298i | \(0.151541\pi\) | |||||||
\(282\) | 1.35225 | + | 11.3845i | 0.0805252 | + | 0.677938i | ||||
\(283\) | 4.08610 | − | 7.07732i | 0.242893 | − | 0.420703i | −0.718644 | − | 0.695378i | \(-0.755237\pi\) |
0.961537 | + | 0.274675i | \(0.0885702\pi\) | |||||||
\(284\) | 3.67384 | + | 13.7110i | 0.218002 | + | 0.813596i | ||||
\(285\) | −14.0167 | + | 10.1232i | −0.830279 | + | 0.599646i | ||||
\(286\) | −16.7675 | + | 10.7346i | −0.991482 | + | 0.634752i | ||||
\(287\) | 0.149610 | 0.00883122 | ||||||||
\(288\) | −1.56537 | + | 2.55922i | −0.0922402 | + | 0.150804i | ||||
\(289\) | −4.07607 | + | 7.05996i | −0.239769 | + | 0.415292i | ||||
\(290\) | 0.204053 | − | 12.4871i | 0.0119824 | − | 0.733270i | ||||
\(291\) | 7.28705 | + | 18.2431i | 0.427174 | + | 1.06943i | ||||
\(292\) | −0.675435 | + | 2.52076i | −0.0395269 | + | 0.147516i | ||||
\(293\) | 3.85123 | − | 14.3730i | 0.224991 | − | 0.839678i | −0.757417 | − | 0.652931i | \(-0.773539\pi\) |
0.982408 | − | 0.186747i | \(-0.0597944\pi\) | |||||||
\(294\) | −4.34130 | − | 10.8684i | −0.253190 | − | 0.633860i | ||||
\(295\) | −29.8102 | − | 0.487130i | −1.73562 | − | 0.0283618i | ||||
\(296\) | −2.32535 | + | 4.02763i | −0.135158 | + | 0.234101i | ||||
\(297\) | −23.4107 | + | 16.5889i | −1.35843 | + | 0.962585i | ||||
\(298\) | 18.4505 | 1.06881 | ||||||||
\(299\) | −18.7240 | − | 9.69419i | −1.08284 | − | 0.560630i | ||||
\(300\) | −0.739950 | − | 8.62858i | −0.0427211 | − | 0.498172i | ||||
\(301\) | −0.0387186 | − | 0.144500i | −0.00223171 | − | 0.00832884i | ||||
\(302\) | −7.08594 | + | 12.2732i | −0.407750 | + | 0.706243i | ||||
\(303\) | 2.23092 | + | 18.7820i | 0.128163 | + | 1.07900i | ||||
\(304\) | 3.15673 | − | 3.15673i | 0.181051 | − | 0.181051i | ||||
\(305\) | 1.98606 | + | 2.05204i | 0.113721 | + | 0.117500i | ||||
\(306\) | −7.83867 | + | 4.26450i | −0.448107 | + | 0.243785i | ||||
\(307\) | 0.179933 | − | 0.179933i | 0.0102693 | − | 0.0102693i | −0.701953 | − | 0.712223i | \(-0.747689\pi\) |
0.712223 | + | 0.701953i | \(0.247689\pi\) | |||||||
\(308\) | 1.36110 | + | 2.35750i | 0.0775560 | + | 0.134331i | ||||
\(309\) | 17.8449 | − | 13.3370i | 1.01516 | − | 0.758713i | ||||
\(310\) | −8.17805 | − | 2.33516i | −0.464482 | − | 0.132628i | ||||
\(311\) | −12.6072 | −0.714890 | −0.357445 | − | 0.933934i | \(-0.616352\pi\) | ||||
−0.357445 | + | 0.933934i | \(0.616352\pi\) | |||||||
\(312\) | 6.21521 | + | 0.609252i | 0.351867 | + | 0.0344921i | ||||
\(313\) | 2.88734i | 0.163202i | 0.996665 | + | 0.0816011i | \(0.0260033\pi\) | ||||
−0.996665 | + | 0.0816011i | \(0.973997\pi\) | |||||||
\(314\) | −16.7428 | + | 4.48623i | −0.944852 | + | 0.253172i | ||||
\(315\) | −0.988315 | + | 3.15593i | −0.0556852 | + | 0.177816i | ||||
\(316\) | 4.99785 | − | 2.88551i | 0.281151 | − | 0.162323i | ||||
\(317\) | 8.74988 | − | 8.74988i | 0.491442 | − | 0.491442i | −0.417318 | − | 0.908760i | \(-0.637030\pi\) |
0.908760 | + | 0.417318i | \(0.137030\pi\) | |||||||
\(318\) | −12.0031 | − | 9.45442i | −0.673102 | − | 0.530177i | ||||
\(319\) | −7.98209 | + | 29.7896i | −0.446911 | + | 1.66790i | ||||
\(320\) | 0.543370 | + | 2.16904i | 0.0303753 | + | 0.121253i | ||||
\(321\) | −0.435883 | − | 3.66968i | −0.0243286 | − | 0.204821i | ||||
\(322\) | −1.44146 | + | 2.49669i | −0.0803295 | + | 0.139135i | ||||
\(323\) | 12.8267 | − | 3.43690i | 0.713696 | − | 0.191234i | ||||
\(324\) | 8.98844 | + | 0.456070i | 0.499358 | + | 0.0253372i | ||||
\(325\) | −15.4923 | + | 9.21887i | −0.859360 | + | 0.511371i | ||||
\(326\) | 14.5345i | 0.804993i | ||||||||
\(327\) | −1.51568 | + | 10.4842i | −0.0838175 | + | 0.579777i | ||||
\(328\) | −0.262819 | − | 0.151738i | −0.0145117 | − | 0.00837835i | ||||
\(329\) | −1.63156 | − | 2.82594i | −0.0899507 | − | 0.155799i | ||||
\(330\) | −3.40535 | + | 21.1132i | −0.187459 | + | 1.16224i | ||||
\(331\) | 7.81701 | + | 2.09456i | 0.429662 | + | 0.115128i | 0.467167 | − | 0.884169i | \(-0.345275\pi\) |
−0.0375056 | + | 0.999296i | \(0.511941\pi\) | |||||||
\(332\) | 2.59698 | − | 9.69207i | 0.142528 | − | 0.531922i | ||||
\(333\) | 13.9476 | + | 0.353622i | 0.764326 | + | 0.0193784i | ||||
\(334\) | 8.48114 | + | 14.6898i | 0.464067 | + | 0.803788i | ||||
\(335\) | 7.00113 | − | 3.89099i | 0.382512 | − | 0.212587i | ||||
\(336\) | 0.122174 | − | 0.845094i | 0.00666514 | − | 0.0461037i | ||||
\(337\) | −22.3747 | −1.21883 | −0.609415 | − | 0.792851i | \(-0.708596\pi\) | ||||
−0.609415 | + | 0.792851i | \(0.708596\pi\) | |||||||
\(338\) | −4.50062 | − | 12.1961i | −0.244801 | − | 0.663379i | ||||
\(339\) | −22.9210 | − | 9.83635i | −1.24490 | − | 0.534237i | ||||
\(340\) | −1.82621 | + | 6.39564i | −0.0990404 | + | 0.346852i | ||||
\(341\) | 18.1886 | + | 10.5012i | 0.984969 | + | 0.568672i | ||||
\(342\) | −12.8445 | − | 3.79309i | −0.694551 | − | 0.205107i | ||||
\(343\) | 4.79561 | + | 4.79561i | 0.258938 | + | 0.258938i | ||||
\(344\) | −0.0785388 | + | 0.293111i | −0.00423453 | + | 0.0158035i | ||||
\(345\) | −21.1673 | + | 8.05661i | −1.13961 | + | 0.433753i | ||||
\(346\) | −15.9398 | − | 15.9398i | −0.856930 | − | 0.856930i | ||||
\(347\) | 3.09273 | + | 5.35676i | 0.166026 | + | 0.287566i | 0.937019 | − | 0.349278i | \(-0.113573\pi\) |
−0.770993 | + | 0.636844i | \(0.780240\pi\) | |||||||
\(348\) | 7.74875 | − | 5.79129i | 0.415377 | − | 0.310446i | ||||
\(349\) | 26.4072 | − | 7.07579i | 1.41354 | − | 0.378758i | 0.530356 | − | 0.847775i | \(-0.322058\pi\) |
0.883189 | + | 0.469017i | \(0.155392\pi\) | |||||||
\(350\) | 1.16206 | + | 2.17383i | 0.0621149 | + | 0.116196i | ||||
\(351\) | −7.30501 | − | 17.2522i | −0.389913 | − | 0.920852i | ||||
\(352\) | − | 5.52185i | − | 0.294316i | ||||||
\(353\) | −1.44442 | − | 5.39066i | −0.0768789 | − | 0.286916i | 0.916774 | − | 0.399407i | \(-0.130784\pi\) |
−0.993653 | + | 0.112491i | \(0.964117\pi\) | |||||||
\(354\) | −13.8254 | − | 18.4984i | −0.734811 | − | 0.983178i | ||||
\(355\) | 0.518599 | − | 31.7359i | 0.0275244 | − | 1.68437i | ||||
\(356\) | −6.36651 | − | 6.36651i | −0.337425 | − | 0.337425i | ||||
\(357\) | 1.57160 | − | 1.99528i | 0.0831781 | − | 0.105601i | ||||
\(358\) | 15.6759 | + | 4.20035i | 0.828498 | + | 0.221995i | ||||
\(359\) | 7.36153 | − | 7.36153i | 0.388527 | − | 0.388527i | −0.485635 | − | 0.874162i | \(-0.661412\pi\) |
0.874162 | + | 0.485635i | \(0.161412\pi\) | |||||||
\(360\) | 4.93698 | − | 4.54161i | 0.260202 | − | 0.239364i | ||||
\(361\) | 0.805259 | + | 0.464917i | 0.0423821 | + | 0.0244693i | ||||
\(362\) | −19.2479 | + | 5.15745i | −1.01165 | + | 0.271070i | ||||
\(363\) | 13.3133 | − | 31.0231i | 0.698766 | − | 1.62829i | ||||
\(364\) | −1.69403 | + | 0.538276i | −0.0887913 | + | 0.0282133i | ||||
\(365\) | 2.99989 | − | 5.00528i | 0.157022 | − | 0.261988i | ||||
\(366\) | −0.316503 | + | 2.18929i | −0.0165439 | + | 0.114436i | ||||
\(367\) | 10.2346 | + | 5.90897i | 0.534244 | + | 0.308446i | 0.742743 | − | 0.669577i | \(-0.233524\pi\) |
−0.208499 | + | 0.978023i | \(0.566858\pi\) | |||||||
\(368\) | 5.06440 | − | 2.92393i | 0.264000 | − | 0.152420i | ||||
\(369\) | −0.0230752 | + | 0.910138i | −0.00120125 | + | 0.0473799i | ||||
\(370\) | 7.47258 | − | 7.23228i | 0.388481 | − | 0.375989i | ||||
\(371\) | 4.20075 | + | 1.12559i | 0.218092 | + | 0.0584376i | ||||
\(372\) | −2.44373 | − | 6.11786i | −0.126701 | − | 0.317196i | ||||
\(373\) | 4.85038 | − | 2.80037i | 0.251143 | − | 0.144998i | −0.369144 | − | 0.929372i | \(-0.620349\pi\) |
0.620288 | + | 0.784374i | \(0.287016\pi\) | |||||||
\(374\) | 8.21247 | − | 14.2244i | 0.424657 | − | 0.735527i | ||||
\(375\) | −3.70653 | + | 19.0069i | −0.191404 | + | 0.981511i | ||||
\(376\) | 6.61906i | 0.341352i | ||||||||
\(377\) | −17.8829 | − | 9.25871i | −0.921017 | − | 0.476848i | ||||
\(378\) | −2.40220 | + | 0.889625i | −0.123556 | + | 0.0457574i | ||||
\(379\) | −0.380787 | − | 1.42112i | −0.0195597 | − | 0.0729979i | 0.955456 | − | 0.295133i | \(-0.0953640\pi\) |
−0.975016 | + | 0.222135i | \(0.928697\pi\) | |||||||
\(380\) | −8.72545 | + | 4.84930i | −0.447606 | + | 0.248764i | ||||
\(381\) | −1.20576 | − | 10.1512i | −0.0617727 | − | 0.520062i | ||||
\(382\) | −9.68855 | − | 9.68855i | −0.495709 | − | 0.495709i | ||||
\(383\) | −5.25920 | − | 1.40920i | −0.268733 | − | 0.0720067i | 0.121936 | − | 0.992538i | \(-0.461090\pi\) |
−0.390669 | + | 0.920531i | \(0.627756\pi\) | |||||||
\(384\) | −1.07174 | + | 1.36065i | −0.0546918 | + | 0.0694356i | ||||
\(385\) | −1.47916 | − | 5.90458i | −0.0753851 | − | 0.300925i | ||||
\(386\) | −21.2527 | + | 12.2702i | −1.08173 | + | 0.624539i | ||||
\(387\) | 0.885021 | − | 0.213254i | 0.0449882 | − | 0.0108403i | ||||
\(388\) | 2.93548 | + | 10.9554i | 0.149027 | + | 0.556175i | ||||
\(389\) | 1.50423 | 0.0762676 | 0.0381338 | − | 0.999273i | \(-0.487859\pi\) | ||||
0.0381338 | + | 0.999273i | \(0.487859\pi\) | |||||||
\(390\) | −12.9895 | − | 5.12580i | −0.657747 | − | 0.259555i | ||||
\(391\) | 17.3947 | 0.879686 | ||||||||
\(392\) | −1.74883 | − | 6.52673i | −0.0883293 | − | 0.329649i | ||||
\(393\) | 1.63755 | + | 2.19104i | 0.0826035 | + | 0.110524i | ||||
\(394\) | 2.14687 | − | 1.23949i | 0.108158 | − | 0.0624448i | ||||
\(395\) | −12.5176 | + | 3.13580i | −0.629829 | + | 0.157779i | ||||
\(396\) | −14.5515 | + | 7.91650i | −0.731241 | + | 0.397819i | ||||
\(397\) | 22.9309 | + | 6.14432i | 1.15087 | + | 0.308374i | 0.783313 | − | 0.621627i | \(-0.213528\pi\) |
0.367556 | + | 0.930001i | \(0.380195\pi\) | |||||||
\(398\) | 2.20284 | + | 2.20284i | 0.110418 | + | 0.110418i | ||||
\(399\) | 3.78535 | − | 0.449622i | 0.189505 | − | 0.0225093i | ||||
\(400\) | 0.163367 | − | 4.99733i | 0.00816835 | − | 0.249867i | ||||
\(401\) | −3.92557 | − | 14.6504i | −0.196034 | − | 0.731608i | −0.991997 | − | 0.126263i | \(-0.959702\pi\) |
0.795963 | − | 0.605345i | \(-0.206965\pi\) | |||||||
\(402\) | 5.70148 | + | 2.44674i | 0.284364 | + | 0.122032i | ||||
\(403\) | −9.24234 | + | 10.1314i | −0.460394 | + | 0.504683i | ||||
\(404\) | 10.9200i | 0.543293i | ||||||||
\(405\) | −19.0463 | − | 6.49906i | −0.946419 | − | 0.322941i | ||||
\(406\) | −1.37671 | + | 2.38453i | −0.0683249 | + | 0.118342i | ||||
\(407\) | −22.2400 | + | 12.8402i | −1.10239 | + | 0.636468i | ||||
\(408\) | −4.78448 | + | 1.91112i | −0.236867 | + | 0.0946145i | ||||
\(409\) | −36.7959 | − | 9.85942i | −1.81944 | − | 0.487517i | −0.822718 | − | 0.568449i | \(-0.807544\pi\) |
−0.996720 | + | 0.0809322i | \(0.974210\pi\) | |||||||
\(410\) | 0.471935 | + | 0.487615i | 0.0233072 | + | 0.0240816i | ||||
\(411\) | 7.66273 | + | 19.1836i | 0.377975 | + | 0.946257i | ||||
\(412\) | 11.1391 | − | 6.43113i | 0.548782 | − | 0.316839i | ||||
\(413\) | 5.69252 | + | 3.28658i | 0.280111 | + | 0.161722i | ||||
\(414\) | −14.9660 | − | 9.15405i | −0.735538 | − | 0.449897i | ||||
\(415\) | −11.5343 | + | 19.2448i | −0.566197 | + | 0.944691i | ||||
\(416\) | 3.52181 | + | 0.772544i | 0.172671 | + | 0.0378771i | ||||
\(417\) | 2.12909 | + | 0.913680i | 0.104262 | + | 0.0447431i | ||||
\(418\) | 23.8111 | − | 6.38017i | 1.16464 | − | 0.312065i | ||||
\(419\) | −31.0900 | − | 17.9498i | −1.51885 | − | 0.876906i | −0.999754 | − | 0.0221874i | \(-0.992937\pi\) |
−0.519092 | − | 0.854719i | \(-0.673730\pi\) | |||||||
\(420\) | −0.781535 | + | 1.74205i | −0.0381350 | + | 0.0850036i | ||||
\(421\) | −7.04471 | + | 7.04471i | −0.343338 | + | 0.343338i | −0.857621 | − | 0.514283i | \(-0.828058\pi\) |
0.514283 | + | 0.857621i | \(0.328058\pi\) | |||||||
\(422\) | 22.5837 | + | 6.05129i | 1.09936 | + | 0.294572i | ||||
\(423\) | 17.4429 | − | 9.48954i | 0.848105 | − | 0.461397i | ||||
\(424\) | −6.23781 | − | 6.23781i | −0.302935 | − | 0.302935i | ||||
\(425\) | 7.85320 | − | 12.6303i | 0.380936 | − | 0.612658i | ||||
\(426\) | 19.6934 | − | 14.7185i | 0.954147 | − | 0.713114i | ||||
\(427\) | −0.162955 | − | 0.608155i | −0.00788593 | − | 0.0294307i | ||||
\(428\) | − | 2.13358i | − | 0.103131i | ||||||
\(429\) | 28.0394 | + | 20.0732i | 1.35376 | + | 0.969143i | ||||
\(430\) | 0.348824 | − | 0.582008i | 0.0168218 | − | 0.0280669i | ||||
\(431\) | −14.4373 | + | 3.86847i | −0.695422 | + | 0.186338i | −0.589179 | − | 0.808002i | \(-0.700549\pi\) |
−0.106243 | + | 0.994340i | \(0.533882\pi\) | |||||||
\(432\) | 5.12219 | + | 0.873575i | 0.246442 | + | 0.0420299i | ||||
\(433\) | 0.606405 | + | 1.05032i | 0.0291420 | + | 0.0504754i | 0.880229 | − | 0.474550i | \(-0.157389\pi\) |
−0.851087 | + | 0.525025i | \(0.824056\pi\) | |||||||
\(434\) | 1.32588 | + | 1.32588i | 0.0636445 | + | 0.0636445i | ||||
\(435\) | −20.2164 | + | 7.69469i | −0.969302 | + | 0.368932i | ||||
\(436\) | −1.58293 | + | 5.90758i | −0.0758087 | + | 0.282922i | ||||
\(437\) | 18.4601 | + | 18.4601i | 0.883066 | + | 0.883066i | ||||
\(438\) | 4.48855 | − | 0.533148i | 0.214471 | − | 0.0254748i | ||||
\(439\) | −32.3386 | − | 18.6707i | −1.54344 | − | 0.891104i | −0.998618 | − | 0.0525511i | \(-0.983265\pi\) |
−0.544820 | − | 0.838553i | \(-0.683402\pi\) | |||||||
\(440\) | −3.39014 | + | 11.8727i | −0.161618 | + | 0.566009i | ||||
\(441\) | −14.6924 | + | 13.9658i | −0.699637 | + | 0.665037i | ||||
\(442\) | 7.92330 | + | 7.22797i | 0.376873 | + | 0.343800i | ||||
\(443\) | −39.8774 | −1.89463 | −0.947315 | − | 0.320303i | \(-0.896215\pi\) | ||||
−0.947315 | + | 0.320303i | \(0.896215\pi\) | |||||||
\(444\) | 7.97238 | + | 1.15255i | 0.378352 | + | 0.0546978i | ||||
\(445\) | 9.78012 | + | 17.5976i | 0.463622 | + | 0.834204i | ||||
\(446\) | −5.22365 | − | 9.04763i | −0.247347 | − | 0.428418i | ||||
\(447\) | −11.8543 | − | 29.6772i | −0.560689 | − | 1.40368i | ||||
\(448\) | 0.127595 | − | 0.476190i | 0.00602828 | − | 0.0224978i | ||||
\(449\) | 35.9353 | + | 9.62882i | 1.69589 | + | 0.454412i | 0.971899 | − | 0.235398i | \(-0.0756394\pi\) |
0.723990 | + | 0.689810i | \(0.242306\pi\) | |||||||
\(450\) | −13.4035 | + | 6.73400i | −0.631846 | + | 0.317444i | ||||
\(451\) | −0.837877 | − | 1.45124i | −0.0394541 | − | 0.0683365i | ||||
\(452\) | −12.4712 | − | 7.20026i | −0.586597 | − | 0.338672i | ||||
\(453\) | 24.2938 | + | 3.51212i | 1.14142 | + | 0.165014i | ||||
\(454\) | − | 21.7406i | − | 1.02034i | ||||||
\(455\) | 3.97286 | − | 0.117314i | 0.186251 | − | 0.00549978i | ||||
\(456\) | −7.10570 | − | 3.04935i | −0.332755 | − | 0.142799i | ||||
\(457\) | −20.9612 | + | 5.61653i | −0.980523 | + | 0.262730i | −0.713265 | − | 0.700895i | \(-0.752784\pi\) |
−0.267258 | + | 0.963625i | \(0.586118\pi\) | |||||||
\(458\) | 8.10248 | − | 14.0339i | 0.378604 | − | 0.655761i | ||||
\(459\) | 11.8956 | + | 9.86842i | 0.555241 | + | 0.460619i | ||||
\(460\) | −12.6843 | + | 3.17755i | −0.591407 | + | 0.148154i | ||||
\(461\) | −0.696091 | + | 2.59785i | −0.0324202 | + | 0.120994i | −0.980240 | − | 0.197814i | \(-0.936616\pi\) |
0.947819 | + | 0.318808i | \(0.103282\pi\) | |||||||
\(462\) | 2.91748 | − | 3.70398i | 0.135734 | − | 0.172325i | ||||
\(463\) | 4.00917 | − | 4.00917i | 0.186322 | − | 0.186322i | −0.607782 | − | 0.794104i | \(-0.707941\pi\) |
0.794104 | + | 0.607782i | \(0.207941\pi\) | |||||||
\(464\) | 4.83689 | − | 2.79258i | 0.224547 | − | 0.129642i | ||||
\(465\) | 1.49828 | + | 14.6545i | 0.0694811 | + | 0.679588i | ||||
\(466\) | 17.0945 | − | 4.58047i | 0.791889 | − | 0.212186i | ||||
\(467\) | 9.80252i | 0.453607i | 0.973941 | + | 0.226803i | \(0.0728275\pi\) | ||||
−0.973941 | + | 0.226803i | \(0.927173\pi\) | |||||||
\(468\) | −3.01326 | − | 10.3885i | −0.139288 | − | 0.480207i | ||||
\(469\) | −1.76591 | −0.0815421 | ||||||||
\(470\) | 4.06377 | − | 14.2319i | 0.187448 | − | 0.656466i | ||||
\(471\) | 17.9732 | + | 24.0481i | 0.828159 | + | 1.10808i | ||||
\(472\) | −6.66665 | − | 11.5470i | −0.306858 | − | 0.531493i | ||||
\(473\) | −1.18483 | + | 1.18483i | −0.0544787 | + | 0.0544787i | ||||
\(474\) | −7.85237 | − | 6.18502i | −0.360671 | − | 0.284087i | ||||
\(475\) | 21.7381 | − | 5.06966i | 0.997412 | − | 0.232612i | ||||
\(476\) | 1.03691 | − | 1.03691i | 0.0475266 | − | 0.0475266i | ||||
\(477\) | −7.49529 | + | 25.3812i | −0.343186 | + | 1.16212i | ||||
\(478\) | 1.55486 | − | 2.69310i | 0.0711177 | − | 0.123179i | ||||
\(479\) | −8.20059 | − | 30.6050i | −0.374694 | − | 1.39838i | −0.853791 | − | 0.520616i | \(-0.825702\pi\) |
0.479096 | − | 0.877762i | \(-0.340964\pi\) | |||||||
\(480\) | 3.13975 | − | 2.26759i | 0.143309 | − | 0.103501i | ||||
\(481\) | −5.07794 | − | 15.9810i | −0.231534 | − | 0.728671i | ||||
\(482\) | 10.6417 | 0.484714 | ||||||||
\(483\) | 4.94199 | + | 0.714456i | 0.224869 | + | 0.0325089i | ||||
\(484\) | 9.74541 | − | 16.8795i | 0.442973 | − | 0.767252i | ||||
\(485\) | 0.414372 | − | 25.3577i | 0.0188157 | − | 1.15143i | ||||
\(486\) | −5.04143 | − | 14.7507i | −0.228684 | − | 0.669107i | ||||
\(487\) | 7.00795 | − | 26.1540i | 0.317561 | − | 1.18515i | −0.604021 | − | 0.796968i | \(-0.706436\pi\) |
0.921582 | − | 0.388184i | \(-0.126898\pi\) | |||||||
\(488\) | −0.330545 | + | 1.23361i | −0.0149631 | + | 0.0558430i | ||||
\(489\) | 23.3785 | − | 9.33833i | 1.05721 | − | 0.422294i | ||||
\(490\) | −0.246865 | + | 15.1070i | −0.0111522 | + | 0.682465i | ||||
\(491\) | −4.08027 | + | 7.06723i | −0.184140 | + | 0.318940i | −0.943286 | − | 0.331980i | \(-0.892283\pi\) |
0.759146 | + | 0.650920i | \(0.225617\pi\) | |||||||
\(492\) | −0.0752087 | + | 0.520229i | −0.00339067 | + | 0.0234537i | ||||
\(493\) | 16.6133 | 0.748224 | ||||||||
\(494\) | 0.737912 | + | 16.0793i | 0.0332002 | + | 0.723441i | ||||
\(495\) | 36.1480 | − | 8.08763i | 1.62473 | − | 0.363512i | ||||
\(496\) | −0.984421 | − | 3.67391i | −0.0442018 | − | 0.164963i | ||||
\(497\) | −3.49889 | + | 6.06026i | −0.156947 | + | 0.271840i | ||||
\(498\) | −17.2580 | + | 2.04990i | −0.773351 | + | 0.0918583i | ||||
\(499\) | 16.8259 | − | 16.8259i | 0.753231 | − | 0.753231i | −0.221850 | − | 0.975081i | \(-0.571209\pi\) |
0.975081 | + | 0.221850i | \(0.0712094\pi\) | |||||||
\(500\) | −3.41937 | + | 10.6446i | −0.152919 | + | 0.476042i | ||||
\(501\) | 18.1791 | − | 23.0798i | 0.812182 | − | 1.03113i | ||||
\(502\) | −9.97020 | + | 9.97020i | −0.444992 | + | 0.444992i | ||||
\(503\) | 10.7934 | + | 18.6947i | 0.481253 | + | 0.833555i | 0.999769 | − | 0.0215131i | \(-0.00684838\pi\) |
−0.518515 | + | 0.855068i | \(0.673515\pi\) | |||||||
\(504\) | −1.43781 | + | 0.346453i | −0.0640452 | + | 0.0154323i | ||||
\(505\) | 6.70436 | − | 23.4795i | 0.298340 | − | 1.04483i | ||||
\(506\) | 32.2910 | 1.43551 | ||||||||
\(507\) | −16.7255 | + | 15.0751i | −0.742806 | + | 0.669507i | ||||
\(508\) | − | 5.90200i | − | 0.261859i | ||||||
\(509\) | 4.37808 | − | 1.17310i | 0.194055 | − | 0.0519969i | −0.160482 | − | 0.987039i | \(-0.551305\pi\) |
0.354537 | + | 0.935042i | \(0.384638\pi\) | |||||||
\(510\) | 11.4606 | − | 1.17173i | 0.507483 | − | 0.0518851i | ||||
\(511\) | −1.11418 | + | 0.643270i | −0.0492883 | + | 0.0284566i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 2.15139 | + | 23.0971i | 0.0949863 | + | 1.01976i | ||||
\(514\) | −5.10546 | + | 19.0538i | −0.225192 | + | 0.840429i | ||||
\(515\) | −27.8988 | + | 6.98897i | −1.22937 | + | 0.307971i | ||||
\(516\) | 0.521923 | − | 0.0619938i | 0.0229764 | − | 0.00272912i | ||||
\(517\) | −18.2747 | + | 31.6528i | −0.803722 | + | 1.39209i | ||||
\(518\) | −2.21462 | + | 0.593405i | −0.0973047 | + | 0.0260727i | ||||
\(519\) | −15.3976 | + | 35.8801i | −0.675881 | + | 1.57496i | ||||
\(520\) | −7.09806 | − | 3.82329i | −0.311271 | − | 0.167662i | ||||
\(521\) | − | 24.3454i | − | 1.06659i | −0.845929 | − | 0.533295i | \(-0.820954\pi\) | ||
0.845929 | − | 0.533295i | \(-0.179046\pi\) | |||||||
\(522\) | −14.2937 | − | 8.74283i | −0.625617 | − | 0.382663i | ||||
\(523\) | 26.5381 | + | 15.3218i | 1.16043 | + | 0.669975i | 0.951407 | − | 0.307935i | \(-0.0996380\pi\) |
0.209024 | + | 0.977910i | \(0.432971\pi\) | |||||||
\(524\) | 0.789633 | + | 1.36768i | 0.0344953 | + | 0.0597476i | ||||
\(525\) | 2.74994 | − | 3.26582i | 0.120017 | − | 0.142532i | ||||
\(526\) | 1.98575 | + | 0.532081i | 0.0865829 | + | 0.0231998i | ||||
\(527\) | 2.92819 | − | 10.9282i | 0.127554 | − | 0.476039i | ||||
\(528\) | −8.88177 | + | 3.54775i | −0.386530 | + | 0.154396i | ||||
\(529\) | 5.59874 | + | 9.69731i | 0.243424 | + | 0.421622i | ||||
\(530\) | 9.58240 | + | 17.2418i | 0.416233 | + | 0.748936i | ||||
\(531\) | −20.8715 | + | 34.1229i | −0.905747 | + | 1.48081i | ||||
\(532\) | 2.20084 | 0.0954184 | ||||||||
\(533\) | 1.04282 | − | 0.331356i | 0.0451697 | − | 0.0143526i | ||||
\(534\) | −6.14996 | + | 14.3308i | −0.266135 | + | 0.620156i | ||||
\(535\) | −1.30991 | + | 4.58748i | −0.0566324 | + | 0.198334i | ||||
\(536\) | 3.10215 | + | 1.79103i | 0.133992 | + | 0.0773606i | ||||
\(537\) | −3.31550 | − | 27.9131i | −0.143074 | − | 1.20454i | ||||
\(538\) | 9.19363 | + | 9.19363i | 0.396366 | + | 0.396366i | ||||
\(539\) | 9.65678 | − | 36.0396i | 0.415947 | − | 1.55234i | ||||
\(540\) | −10.4771 | − | 5.02307i | −0.450861 | − | 0.216159i | ||||
\(541\) | 1.33394 | + | 1.33394i | 0.0573504 | + | 0.0573504i | 0.735200 | − | 0.677850i | \(-0.237088\pi\) |
−0.677850 | + | 0.735200i | \(0.737088\pi\) | |||||||
\(542\) | −12.2582 | − | 21.2318i | −0.526535 | − | 0.911986i | ||||
\(543\) | 20.6623 | + | 27.6462i | 0.886703 | + | 1.18641i | ||||
\(544\) | −2.87318 | + | 0.769866i | −0.123187 | + | 0.0330077i | ||||
\(545\) | 7.03047 | − | 11.7302i | 0.301152 | − | 0.502468i | ||||
\(546\) | 1.95421 | + | 2.37897i | 0.0836324 | + | 0.101811i | ||||
\(547\) | 20.2282i | 0.864895i | 0.901659 | + | 0.432447i | \(0.142350\pi\) | ||||
−0.901659 | + | 0.432447i | \(0.857650\pi\) | |||||||
\(548\) | 3.08682 | + | 11.5202i | 0.131862 | + | 0.492117i | ||||
\(549\) | 3.72478 | − | 0.897518i | 0.158970 | − | 0.0383051i | ||||
\(550\) | 14.5785 | − | 23.4465i | 0.621629 | − | 0.999762i | ||||
\(551\) | 17.6308 | + | 17.6308i | 0.751098 | + | 0.751098i | ||||
\(552\) | −7.95692 | − | 6.26737i | −0.338669 | − | 0.266757i | ||||
\(553\) | 2.74810 | + | 0.736352i | 0.116861 | + | 0.0313129i | ||||
\(554\) | −2.15100 | + | 2.15100i | −0.0913874 | + | 0.0913874i | ||||
\(555\) | −16.4341 | − | 7.37278i | −0.697587 | − | 0.312957i | ||||
\(556\) | 1.15843 | + | 0.668820i | 0.0491284 | + | 0.0283643i | ||||
\(557\) | 29.1168 | − | 7.80182i | 1.23372 | − | 0.330574i | 0.417692 | − | 0.908589i | \(-0.362839\pi\) |
0.816026 | + | 0.578015i | \(0.196172\pi\) | |||||||
\(558\) | −8.27037 | + | 7.86137i | −0.350113 | + | 0.332798i | ||||
\(559\) | −0.589916 | − | 0.921449i | −0.0249508 | − | 0.0389731i | ||||
\(560\) | −0.566702 | + | 0.945533i | −0.0239475 | + | 0.0399561i | ||||
\(561\) | −28.1561 | − | 4.07049i | −1.18875 | − | 0.171856i | ||||
\(562\) | −8.83838 | − | 5.10284i | −0.372825 | − | 0.215250i | ||||
\(563\) | −6.61550 | + | 3.81946i | −0.278810 | + | 0.160971i | −0.632885 | − | 0.774246i | \(-0.718129\pi\) |
0.354075 | + | 0.935217i | \(0.384796\pi\) | |||||||
\(564\) | 10.6466 | − | 4.25270i | 0.448303 | − | 0.179071i | ||||
\(565\) | 22.3942 | + | 23.1382i | 0.942130 | + | 0.973432i | ||||
\(566\) | −7.89373 | − | 2.11512i | −0.331798 | − | 0.0889051i | ||||
\(567\) | 2.97434 | + | 3.29231i | 0.124911 | + | 0.138264i | ||||
\(568\) | 12.2929 | − | 7.09732i | 0.515799 | − | 0.297797i | ||||
\(569\) | −15.8971 | + | 27.5346i | −0.666443 | + | 1.15431i | 0.312449 | + | 0.949934i | \(0.398851\pi\) |
−0.978892 | + | 0.204378i | \(0.934483\pi\) | |||||||
\(570\) | 13.4060 | + | 10.9190i | 0.561517 | + | 0.457348i | ||||
\(571\) | 18.1414i | 0.759196i | 0.925152 | + | 0.379598i | \(0.123938\pi\) | ||||
−0.925152 | + | 0.379598i | \(0.876062\pi\) | |||||||
\(572\) | 14.7086 | + | 13.4178i | 0.614997 | + | 0.561027i | ||||
\(573\) | −9.35899 | + | 21.8087i | −0.390978 | + | 0.911070i | ||||
\(574\) | −0.0387220 | − | 0.144513i | −0.00161623 | − | 0.00603184i | ||||
\(575\) | 29.2237 | + | 0.955348i | 1.21871 | + | 0.0398408i | ||||
\(576\) | 2.87717 | + | 0.849653i | 0.119882 | + | 0.0354022i | ||||
\(577\) | 1.41380 | + | 1.41380i | 0.0588574 | + | 0.0588574i | 0.735923 | − | 0.677065i | \(-0.236749\pi\) |
−0.677065 | + | 0.735923i | \(0.736749\pi\) | |||||||
\(578\) | 7.87436 | + | 2.10993i | 0.327530 | + | 0.0877615i | ||||
\(579\) | 33.3911 | + | 26.3009i | 1.38769 | + | 1.09303i | ||||
\(580\) | −12.1145 | + | 3.03481i | −0.503026 | + | 0.126014i | ||||
\(581\) | 4.28390 | − | 2.47331i | 0.177726 | − | 0.102610i | ||||
\(582\) | 15.7354 | − | 11.7604i | 0.652255 | − | 0.487485i | ||||
\(583\) | −12.6075 | − | 47.0517i | −0.522148 | − | 1.94868i | ||||
\(584\) | 2.60968 | 0.107989 | ||||||||
\(585\) | 0.100912 | + | 24.1866i | 0.00417221 | + | 0.999991i | ||||
\(586\) | −14.8800 | −0.614687 | ||||||||
\(587\) | −0.0232614 | − | 0.0868129i | −0.000960102 | − | 0.00358315i | 0.965444 | − | 0.260610i | \(-0.0839237\pi\) |
−0.966404 | + | 0.257027i | \(0.917257\pi\) | |||||||
\(588\) | −9.37448 | + | 7.00633i | −0.386597 | + | 0.288936i | ||||
\(589\) | 14.7051 | − | 8.48997i | 0.605912 | − | 0.349823i | ||||
\(590\) | 7.24491 | + | 28.9205i | 0.298268 | + | 1.19064i | ||||
\(591\) | −3.37304 | − | 2.65682i | −0.138749 | − | 0.109287i | ||||
\(592\) | 4.49224 | + | 1.20369i | 0.184630 | + | 0.0494714i | ||||
\(593\) | −12.6305 | − | 12.6305i | −0.518672 | − | 0.518672i | 0.398497 | − | 0.917170i | \(-0.369532\pi\) |
−0.917170 | + | 0.398497i | \(0.869532\pi\) | |||||||
\(594\) | 22.0828 | + | 18.3195i | 0.906067 | + | 0.751657i | ||||
\(595\) | −2.86610 | + | 1.59288i | −0.117499 | + | 0.0653017i | ||||
\(596\) | −4.77533 | − | 17.8218i | −0.195605 | − | 0.730008i | ||||
\(597\) | 2.12791 | − | 4.95854i | 0.0870896 | − | 0.202939i | ||||
\(598\) | −4.51773 | + | 20.5951i | −0.184744 | + | 0.842196i | ||||
\(599\) | 12.1102i | 0.494810i | 0.968912 | + | 0.247405i | \(0.0795779\pi\) | ||||
−0.968912 | + | 0.247405i | \(0.920422\pi\) | |||||||
\(600\) | −8.14306 | + | 2.94798i | −0.332439 | + | 0.120351i | ||||
\(601\) | −2.19434 | + | 3.80071i | −0.0895089 | + | 0.155034i | −0.907304 | − | 0.420476i | \(-0.861863\pi\) |
0.817795 | + | 0.575510i | \(0.195196\pi\) | |||||||
\(602\) | −0.129555 | + | 0.0747987i | −0.00528027 | + | 0.00304857i | ||||
\(603\) | 0.272366 | − | 10.7427i | 0.0110916 | − | 0.437477i | ||||
\(604\) | 13.6890 | + | 3.66795i | 0.556997 | + | 0.149247i | ||||
\(605\) | −31.3171 | + | 30.3100i | −1.27322 | + | 1.23228i | ||||
\(606\) | 17.5647 | − | 7.01606i | 0.713515 | − | 0.285008i | ||||
\(607\) | 35.8563 | − | 20.7017i | 1.45536 | − | 0.840255i | 0.456586 | − | 0.889679i | \(-0.349072\pi\) |
0.998778 | + | 0.0494247i | \(0.0157388\pi\) | |||||||
\(608\) | −3.86618 | − | 2.23214i | −0.156794 | − | 0.0905253i | ||||
\(609\) | 4.71999 | + | 0.682361i | 0.191264 | + | 0.0276507i | ||||
\(610\) | 1.46809 | − | 2.44949i | 0.0594413 | − | 0.0991769i | ||||
\(611\) | −17.6313 | − | 16.0840i | −0.713284 | − | 0.650688i | ||||
\(612\) | 6.14799 | + | 6.46784i | 0.248518 | + | 0.261447i | ||||
\(613\) | −12.8090 | + | 3.43216i | −0.517350 | + | 0.138623i | −0.508041 | − | 0.861333i | \(-0.669630\pi\) |
−0.00930939 | + | 0.999957i | \(0.502963\pi\) | |||||||
\(614\) | −0.220372 | − | 0.127232i | −0.00889351 | − | 0.00513467i | ||||
\(615\) | 0.481103 | − | 1.07239i | 0.0193999 | − | 0.0432428i | ||||
\(616\) | 1.92489 | − | 1.92489i | 0.0775560 | − | 0.0775560i | ||||
\(617\) | 2.38347 | + | 0.638648i | 0.0959547 | + | 0.0257110i | 0.306477 | − | 0.951878i | \(-0.400850\pi\) |
−0.210522 | + | 0.977589i | \(0.567516\pi\) | |||||||
\(618\) | −17.5011 | − | 13.7850i | −0.703998 | − | 0.554512i | ||||
\(619\) | 9.50120 | + | 9.50120i | 0.381886 | + | 0.381886i | 0.871781 | − | 0.489895i | \(-0.162965\pi\) |
−0.489895 | + | 0.871781i | \(0.662965\pi\) | |||||||
\(620\) | −0.138961 | + | 8.50377i | −0.00558079 | + | 0.341520i | ||||
\(621\) | −5.10855 | + | 29.9539i | −0.204999 | + | 1.20201i | ||||
\(622\) | 3.26299 | + | 12.1776i | 0.130834 | + | 0.488279i | ||||
\(623\) | − | 4.43867i | − | 0.177832i | ||||||
\(624\) | −1.02012 | − | 6.16112i | −0.0408376 | − | 0.246642i | ||||
\(625\) | 13.8874 | − | 20.7880i | 0.555494 | − | 0.831520i | ||||
\(626\) | 2.78896 | − | 0.747299i | 0.111469 | − | 0.0298681i | ||||
\(627\) | −25.5609 | − | 34.2005i | −1.02080 | − | 1.36584i | ||||
\(628\) | 8.66672 | + | 15.0112i | 0.345840 | + | 0.599012i | ||||
\(629\) | 9.78190 | + | 9.78190i | 0.390030 | + | 0.390030i | ||||
\(630\) | 3.30419 | + | 0.137824i | 0.131642 | + | 0.00549104i | ||||
\(631\) | −2.83329 | + | 10.5740i | −0.112791 | + | 0.420943i | −0.999112 | − | 0.0421284i | \(-0.986586\pi\) |
0.886321 | + | 0.463072i | \(0.153253\pi\) | |||||||
\(632\) | −4.08073 | − | 4.08073i | −0.162323 | − | 0.162323i | ||||
\(633\) | −4.77652 | − | 40.2133i | −0.189850 | − | 1.59834i | ||||
\(634\) | −10.7164 | − | 6.18710i | −0.425601 | − | 0.245721i | ||||
\(635\) | −3.62353 | + | 12.6901i | −0.143795 | + | 0.503590i | ||||
\(636\) | −6.02563 | + | 14.0411i | −0.238932 | + | 0.556767i | ||||
\(637\) | 21.6349 | + | 11.2012i | 0.857205 | + | 0.443809i | ||||
\(638\) | 30.8404 | 1.22098 | ||||||||
\(639\) | −36.3272 | − | 22.2198i | −1.43708 | − | 0.879003i | ||||
\(640\) | 1.95450 | − | 1.08624i | 0.0772584 | − | 0.0429376i | ||||
\(641\) | 16.8006 | + | 29.0996i | 0.663586 | + | 1.14936i | 0.979667 | + | 0.200632i | \(0.0642995\pi\) |
−0.316081 | + | 0.948732i | \(0.602367\pi\) | |||||||
\(642\) | −3.43182 | + | 1.37081i | −0.135443 | + | 0.0541016i | ||||
\(643\) | 12.4307 | − | 46.3920i | 0.490219 | − | 1.82952i | −0.0650938 | − | 0.997879i | \(-0.520735\pi\) |
0.555312 | − | 0.831642i | \(-0.312599\pi\) | |||||||
\(644\) | 2.78469 | + | 0.746156i | 0.109732 | + | 0.0294026i | ||||
\(645\) | −1.16026 | − | 0.187140i | −0.0456853 | − | 0.00736861i | ||||
\(646\) | −6.63959 | − | 11.5001i | −0.261231 | − | 0.452465i | ||||
\(647\) | −39.8373 | − | 23.0001i | −1.56617 | − | 0.904227i | −0.996610 | − | 0.0822746i | \(-0.973782\pi\) |
−0.569557 | − | 0.821952i | \(-0.692885\pi\) | |||||||
\(648\) | −1.88585 | − | 8.80020i | −0.0740831 | − | 0.345705i | ||||
\(649\) | − | 73.6245i | − | 2.89001i | ||||||
\(650\) | 12.9145 | + | 12.5784i | 0.506547 | + | 0.493366i | ||||
\(651\) | 1.28078 | − | 2.98453i | 0.0501979 | − | 0.116973i | ||||
\(652\) | 14.0393 | − | 3.76181i | 0.549820 | − | 0.147324i | ||||
\(653\) | 9.52336 | − | 16.4949i | 0.372678 | − | 0.645497i | −0.617299 | − | 0.786729i | \(-0.711773\pi\) |
0.989977 | + | 0.141232i | \(0.0451063\pi\) | |||||||
\(654\) | 10.5192 | − | 1.24947i | 0.411335 | − | 0.0488582i | ||||
\(655\) | −0.858125 | − | 3.42550i | −0.0335297 | − | 0.133845i | ||||
\(656\) | −0.0785456 | + | 0.293136i | −0.00306669 | + | 0.0114450i | ||||
\(657\) | −3.74142 | − | 6.87719i | −0.145967 | − | 0.268305i | ||||
\(658\) | −2.30737 | + | 2.30737i | −0.0899507 | + | 0.0899507i | ||||
\(659\) | −2.83852 | + | 1.63882i | −0.110573 | + | 0.0638393i | −0.554267 | − | 0.832339i | \(-0.687001\pi\) |
0.443694 | + | 0.896179i | \(0.353668\pi\) | |||||||
\(660\) | 21.2751 | − | 2.17517i | 0.828133 | − | 0.0846684i | ||||
\(661\) | −1.23146 | + | 0.329968i | −0.0478981 | + | 0.0128343i | −0.282689 | − | 0.959212i | \(-0.591226\pi\) |
0.234790 | + | 0.972046i | \(0.424560\pi\) | |||||||
\(662\) | − | 8.09276i | − | 0.314534i | ||||||
\(663\) | 6.53537 | − | 17.3884i | 0.253813 | − | 0.675308i | ||||
\(664\) | −10.0340 | −0.389394 | ||||||||
\(665\) | −4.73209 | − | 1.35120i | −0.183503 | − | 0.0523974i | ||||
\(666\) | −3.26834 | − | 13.5639i | −0.126646 | − | 0.525591i | ||||
\(667\) | 16.3306 | + | 28.2855i | 0.632325 | + | 1.09522i | ||||
\(668\) | 11.9941 | − | 11.9941i | 0.464067 | − | 0.464067i | ||||
\(669\) | −11.1968 | + | 14.2152i | −0.432892 | + | 0.549590i | ||||
\(670\) | −5.57043 | − | 5.75551i | −0.215205 | − | 0.222355i | ||||
\(671\) | −4.98660 | + | 4.98660i | −0.192505 | + | 0.192505i | ||||
\(672\) | −0.847919 | + | 0.100715i | −0.0327092 | + | 0.00388518i | ||||
\(673\) | 1.65337 | − | 2.86372i | 0.0637327 | − | 0.110388i | −0.832398 | − | 0.554178i | \(-0.813033\pi\) |
0.896131 | + | 0.443789i | \(0.146366\pi\) | |||||||
\(674\) | 5.79101 | + | 21.6123i | 0.223061 | + | 0.832476i | ||||
\(675\) | 19.4431 | + | 17.2327i | 0.748367 | + | 0.663285i | ||||
\(676\) | −10.6157 | + | 7.50384i | −0.408295 | + | 0.288609i | ||||
\(677\) | −4.81730 | −0.185144 | −0.0925719 | − | 0.995706i | \(-0.529509\pi\) | ||||
−0.0925719 | + | 0.995706i | \(0.529509\pi\) | |||||||
\(678\) | −3.56879 | + | 24.6858i | −0.137059 | + | 0.948053i | ||||
\(679\) | −2.79569 | + | 4.84228i | −0.107289 | + | 0.185830i | ||||
\(680\) | 6.65038 | + | 0.108674i | 0.255030 | + | 0.00416747i | ||||
\(681\) | −34.9693 | + | 13.9682i | −1.34003 | + | 0.535263i | ||||
\(682\) | 5.43582 | − | 20.2868i | 0.208148 | − | 0.776820i | ||||
\(683\) | 2.20331 | − | 8.22286i | 0.0843073 | − | 0.314639i | −0.910875 | − | 0.412683i | \(-0.864592\pi\) |
0.995182 | + | 0.0980437i | \(0.0312585\pi\) | |||||||
\(684\) | −0.339447 | + | 13.3886i | −0.0129791 | + | 0.511924i | ||||
\(685\) | 0.435735 | − | 26.6650i | 0.0166486 | − | 1.01882i | ||||
\(686\) | 3.39101 | − | 5.87340i | 0.129469 | − | 0.224247i | ||||
\(687\) | −27.7790 | − | 4.01597i | −1.05984 | − | 0.153219i | ||||
\(688\) | 0.303451 | 0.0115689 | ||||||||
\(689\) | 31.7732 | − | 1.45814i | 1.21046 | − | 0.0555508i | ||||
\(690\) | 13.2606 | + | 18.3608i | 0.504822 | + | 0.698984i | ||||
\(691\) | −13.1431 | − | 49.0506i | −0.499985 | − | 1.86597i | −0.500094 | − | 0.865971i | \(-0.666701\pi\) |
0.000109010 | − | 1.00000i | \(-0.499965\pi\) | |||||||
\(692\) | −11.2712 | + | 19.5222i | −0.428465 | + | 0.742123i | ||||
\(693\) | −7.83223 | − | 2.31293i | −0.297522 | − | 0.0878609i | ||||
\(694\) | 4.37378 | − | 4.37378i | 0.166026 | − | 0.166026i | ||||
\(695\) | −2.08015 | − | 2.14927i | −0.0789048 | − | 0.0815264i | ||||
\(696\) | −7.59948 | − | 5.98582i | −0.288057 | − | 0.226892i | ||||
\(697\) | −0.638307 | + | 0.638307i | −0.0241776 | + | 0.0241776i | ||||
\(698\) | −13.6694 | − | 23.6760i | −0.517393 | − | 0.896152i | ||||
\(699\) | −18.3507 | − | 24.5533i | −0.694087 | − | 0.928690i | ||||
\(700\) | 1.79899 | − | 1.68510i | 0.0679955 | − | 0.0636906i | ||||
\(701\) | 29.7935 | 1.12528 | 0.562642 | − | 0.826701i | \(-0.309785\pi\) | ||||
0.562642 | + | 0.826701i | \(0.309785\pi\) | |||||||
\(702\) | −14.7736 | + | 11.5213i | −0.557594 | + | 0.434843i | ||||
\(703\) | 20.7621i | 0.783057i | ||||||||
\(704\) | −5.33370 | + | 1.42916i | −0.201021 | + | 0.0538635i | ||||
\(705\) | −25.5026 | + | 2.60738i | −0.960482 | + | 0.0981998i | ||||
\(706\) | −4.83313 | + | 2.79041i | −0.181897 | + | 0.105018i | ||||
\(707\) | −3.80667 | + | 3.80667i | −0.143165 | + | 0.143165i | ||||
\(708\) | −14.2898 | + | 18.1420i | −0.537043 | + | 0.681819i | ||||
\(709\) | −9.94264 | + | 37.1065i | −0.373404 | + | 1.39356i | 0.482259 | + | 0.876029i | \(0.339816\pi\) |
−0.855663 | + | 0.517534i | \(0.826850\pi\) | |||||||
\(710\) | −30.7888 | + | 7.71294i | −1.15548 | + | 0.289461i | ||||
\(711\) | −4.90337 | + | 16.6042i | −0.183891 | + | 0.622706i | ||||
\(712\) | −4.50181 | + | 7.79736i | −0.168712 | + | 0.292218i | ||||
\(713\) | 21.4845 | − | 5.75676i | 0.804601 | − | 0.215592i | ||||
\(714\) | −2.33405 | − | 1.00164i | −0.0873496 | − | 0.0374853i | ||||
\(715\) | −23.3876 | − | 37.8804i | −0.874645 | − | 1.41665i | ||||
\(716\) | − | 16.2289i | − | 0.606502i | ||||||
\(717\) | −5.33078 | − | 0.770662i | −0.199081 | − | 0.0287809i | ||||
\(718\) | −9.01600 | − | 5.20539i | −0.336474 | − | 0.194263i | ||||
\(719\) | −6.77775 | − | 11.7394i | −0.252768 | − | 0.437806i | 0.711519 | − | 0.702667i | \(-0.248007\pi\) |
−0.964287 | + | 0.264860i | \(0.914674\pi\) | |||||||
\(720\) | −5.66464 | − | 3.59330i | −0.211109 | − | 0.133914i | ||||
\(721\) | 6.12488 | + | 1.64116i | 0.228102 | + | 0.0611198i | ||||
\(722\) | 0.240659 | − | 0.898150i | 0.00895639 | − | 0.0334257i | ||||
\(723\) | −6.83719 | − | 17.1169i | −0.254278 | − | 0.636583i | ||||
\(724\) | 9.96343 | + | 17.2572i | 0.370288 | + | 0.641358i | ||||
\(725\) | 27.9109 | + | 0.912431i | 1.03658 | + | 0.0338869i | ||||
\(726\) | −33.4117 | − | 4.83028i | −1.24003 | − | 0.179269i | ||||
\(727\) | 21.8746 | 0.811282 | 0.405641 | − | 0.914032i | \(-0.367048\pi\) | ||||
0.405641 | + | 0.914032i | \(0.367048\pi\) | |||||||
\(728\) | 0.958382 | + | 1.49699i | 0.0355200 | + | 0.0554822i | ||||
\(729\) | −20.4871 | + | 17.5863i | −0.758783 | + | 0.651344i | ||||
\(730\) | −5.61116 | − | 1.60221i | −0.207678 | − | 0.0593006i | ||||
\(731\) | 0.781696 | + | 0.451312i | 0.0289121 | + | 0.0166924i | ||||
\(732\) | 2.19661 | − | 0.260913i | 0.0811891 | − | 0.00964360i | ||||
\(733\) | 0.555935 | + | 0.555935i | 0.0205339 | + | 0.0205339i | 0.717299 | − | 0.696765i | \(-0.245378\pi\) |
−0.696765 | + | 0.717299i | \(0.745378\pi\) | |||||||
\(734\) | 3.05871 | − | 11.4153i | 0.112899 | − | 0.421345i | ||||
\(735\) | 24.4579 | − | 9.30908i | 0.902144 | − | 0.343371i | ||||
\(736\) | −4.13506 | − | 4.13506i | −0.152420 | − | 0.152420i | ||||
\(737\) | 9.88978 | + | 17.1296i | 0.364295 | + | 0.630977i | ||||
\(738\) | 0.885098 | − | 0.213272i | 0.0325809 | − | 0.00785066i | ||||
\(739\) | 14.6359 | − | 3.92168i | 0.538390 | − | 0.144261i | 0.0206304 | − | 0.999787i | \(-0.493433\pi\) |
0.517760 | + | 0.855526i | \(0.326766\pi\) | |||||||
\(740\) | −8.91990 | − | 5.34610i | −0.327902 | − | 0.196527i | ||||
\(741\) | 25.3891 | − | 11.5177i | 0.932691 | − | 0.423115i | ||||
\(742\) | − | 4.34893i | − | 0.159654i | ||||||
\(743\) | −0.509686 | − | 1.90217i | −0.0186985 | − | 0.0697839i | 0.955946 | − | 0.293542i | \(-0.0948341\pi\) |
−0.974645 | + | 0.223758i | \(0.928167\pi\) | |||||||
\(744\) | −5.27692 | + | 3.94388i | −0.193461 | + | 0.144590i | ||||
\(745\) | −0.674085 | + | 41.2510i | −0.0246965 | + | 1.51132i | ||||
\(746\) | −3.96032 | − | 3.96032i | −0.144998 | − | 0.144998i | ||||
\(747\) | 14.3854 | + | 26.4421i | 0.526334 | + | 0.967467i | ||||
\(748\) | −15.8653 | − | 4.25109i | −0.580092 | − | 0.155435i | ||||
\(749\) | 0.743756 | − | 0.743756i | 0.0271762 | − | 0.0271762i | ||||
\(750\) | 19.3186 | − | 1.33911i | 0.705414 | − | 0.0488976i | ||||
\(751\) | −28.0489 | − | 16.1940i | −1.02352 | − | 0.590928i | −0.108397 | − | 0.994108i | \(-0.534572\pi\) |
−0.915121 | + | 0.403179i | \(0.867905\pi\) | |||||||
\(752\) | 6.39352 | − | 1.71314i | 0.233148 | − | 0.0624718i | ||||
\(753\) | 22.4426 | + | 9.63106i | 0.817855 | + | 0.350975i | ||||
\(754\) | −4.31478 | + | 19.6699i | −0.157135 | + | 0.716336i | ||||
\(755\) | −27.1812 | − | 16.2909i | −0.989224 | − | 0.592887i | ||||
\(756\) | 1.48105 | + | 2.09009i | 0.0538652 | + | 0.0760160i | ||||
\(757\) | 9.36695 | + | 5.40801i | 0.340448 | + | 0.196558i | 0.660470 | − | 0.750852i | \(-0.270357\pi\) |
−0.320022 | + | 0.947410i | \(0.603690\pi\) | |||||||
\(758\) | −1.27414 | + | 0.735624i | −0.0462788 | + | 0.0267191i | ||||
\(759\) | −20.7468 | − | 51.9394i | −0.753060 | − | 1.88528i | ||||
\(760\) | 6.94238 | + | 7.17304i | 0.251827 | + | 0.260194i | ||||
\(761\) | −45.7599 | − | 12.2613i | −1.65879 | − | 0.444473i | −0.696739 | − | 0.717325i | \(-0.745366\pi\) |
−0.962056 | + | 0.272852i | \(0.912033\pi\) | |||||||
\(762\) | −9.49323 | + | 3.79199i | −0.343904 | + | 0.137369i | ||||
\(763\) | −2.61116 | + | 1.50755i | −0.0945302 | + | 0.0545770i | ||||
\(764\) | −6.85084 | + | 11.8660i | −0.247855 | + | 0.429297i | ||||
\(765\) | −9.24805 | − | 17.6813i | −0.334364 | − | 0.639268i | ||||
\(766\) | 5.44472i | 0.196726i | ||||||||
\(767\) | 46.9574 | + | 10.3006i | 1.69553 | + | 0.371932i | ||||
\(768\) | 1.59168 | + | 0.683054i | 0.0574347 | + | 0.0246476i | ||||
\(769\) | 9.39330 | + | 35.0563i | 0.338731 | + | 1.26416i | 0.899767 | + | 0.436370i | \(0.143736\pi\) |
−0.561036 | + | 0.827791i | \(0.689597\pi\) | |||||||
\(770\) | −5.32055 | + | 2.95698i | −0.191739 | + | 0.106562i | ||||
\(771\) | 33.9279 | − | 4.02994i | 1.22188 | − | 0.145135i | ||||
\(772\) | 17.3527 | + | 17.3527i | 0.624539 | + | 0.624539i | ||||
\(773\) | −23.7484 | − | 6.36335i | −0.854169 | − | 0.228874i | −0.194939 | − | 0.980815i | \(-0.562451\pi\) |
−0.659230 | + | 0.751942i | \(0.729118\pi\) | |||||||
\(774\) | −0.435048 | − | 0.799671i | −0.0156375 | − | 0.0287436i | ||||
\(775\) | 5.51967 | − | 18.1989i | 0.198272 | − | 0.653724i | ||||
\(776\) | 9.82231 | − | 5.67092i | 0.352601 | − | 0.203574i | ||||
\(777\) | 2.37736 | + | 3.18091i | 0.0852872 | + | 0.114114i | ||||
\(778\) | −0.389324 | − | 1.45298i | −0.0139579 | − | 0.0520917i | ||||
\(779\) | −1.35481 | −0.0485410 | ||||||||
\(780\) | −1.58922 | + | 13.8735i | −0.0569032 | + | 0.496751i | ||||
\(781\) | 78.3806 | 2.80468 | ||||||||
\(782\) | −4.50207 | − | 16.8020i | −0.160994 | − | 0.600837i | ||||
\(783\) | −4.87906 | + | 28.6083i | −0.174363 | + | 1.02238i | ||||
\(784\) | −5.85170 | + | 3.37848i | −0.208989 | + | 0.120660i | ||||
\(785\) | −9.41847 | − | 37.5970i | −0.336160 | − | 1.34189i | ||||
\(786\) | 1.69256 | − | 2.14884i | 0.0603715 | − | 0.0766464i | ||||
\(787\) | −11.4448 | − | 3.06663i | −0.407964 | − | 0.109314i | 0.0490003 | − | 0.998799i | \(-0.484396\pi\) |
−0.456964 | + | 0.889485i | \(0.651063\pi\) | |||||||
\(788\) | −1.75291 | − | 1.75291i | −0.0624448 | − | 0.0624448i | ||||
\(789\) | −0.419992 | − | 3.53590i | −0.0149521 | − | 0.125881i | ||||
\(790\) | 6.26874 | + | 11.2795i | 0.223032 | + | 0.401306i | ||||
\(791\) | −1.83743 | − | 6.85738i | −0.0653315 | − | 0.243820i | ||||
\(792\) | 11.4130 | + | 12.0067i | 0.405542 | + | 0.426641i | ||||
\(793\) | −2.48277 | − | 3.87809i | −0.0881659 | − | 0.137715i | ||||
\(794\) | − | 23.7398i | − | 0.842495i | ||||||
\(795\) | 21.5764 | − | 26.4908i | 0.765237 | − | 0.939533i | ||||
\(796\) | 1.55764 | − | 2.69792i | 0.0552092 | − | 0.0956252i | ||||
\(797\) | −23.6436 | + | 13.6507i | −0.837500 | + | 0.483531i | −0.856414 | − | 0.516290i | \(-0.827313\pi\) |
0.0189135 | + | 0.999821i | \(0.493979\pi\) | |||||||
\(798\) | −1.41402 | − | 3.54000i | −0.0500559 | − | 0.125315i | ||||
\(799\) | 19.0178 | + | 5.09579i | 0.672800 | + | 0.180276i | ||||
\(800\) | −4.86933 | + | 1.13560i | −0.172157 | + | 0.0401497i | ||||
\(801\) | 27.0022 | + | 0.684600i | 0.954074 | + | 0.0241891i | ||||
\(802\) | −13.1352 | + | 7.58363i | −0.463821 | + | 0.267787i | ||||
\(803\) | 12.4797 | + | 7.20513i | 0.440397 | + | 0.254264i | ||||
\(804\) | 0.887718 | − | 6.14046i | 0.0313074 | − | 0.216557i | ||||
\(805\) | −5.52935 | − | 3.31399i | −0.194884 | − | 0.116803i | ||||
\(806\) | 12.1783 | + | 6.30520i | 0.428963 | + | 0.222091i | ||||
\(807\) | 8.88091 | − | 20.6946i | 0.312623 | − | 0.728485i | ||||
\(808\) | 10.5480 | − | 2.82632i | 0.371076 | − | 0.0994295i | ||||
\(809\) | −3.81620 | − | 2.20328i | −0.134170 | − | 0.0774633i | 0.431412 | − | 0.902155i | \(-0.358015\pi\) |
−0.565583 | + | 0.824692i | \(0.691349\pi\) | |||||||
\(810\) | −1.34806 | + | 20.0794i | −0.0473660 | + | 0.705519i | ||||
\(811\) | −6.44822 | + | 6.44822i | −0.226428 | + | 0.226428i | −0.811198 | − | 0.584771i | \(-0.801184\pi\) |
0.584771 | + | 0.811198i | \(0.301184\pi\) | |||||||
\(812\) | 2.65960 | + | 0.712637i | 0.0933335 | + | 0.0250086i | ||||
\(813\) | −26.2751 | + | 33.3584i | −0.921509 | + | 1.16993i | ||||
\(814\) | 18.1589 | + | 18.1589i | 0.636468 | + | 0.636468i | ||||
\(815\) | −32.4958 | − | 0.531017i | −1.13828 | − | 0.0186007i | ||||
\(816\) | 3.08431 | + | 4.12681i | 0.107973 | + | 0.144467i | ||||
\(817\) | 0.350619 | + | 1.30853i | 0.0122666 | + | 0.0457797i | ||||
\(818\) | 38.0939i | 1.33192i | ||||||||
\(819\) | 2.57096 | − | 4.67177i | 0.0898366 | − | 0.163245i | ||||
\(820\) | 0.348854 | − | 0.582058i | 0.0121825 | − | 0.0203264i | ||||
\(821\) | −2.63639 | + | 0.706419i | −0.0920107 | + | 0.0246542i | −0.304531 | − | 0.952503i | \(-0.598500\pi\) |
0.212520 | + | 0.977157i | \(0.431833\pi\) | |||||||
\(822\) | 16.5467 | − | 12.3667i | 0.577131 | − | 0.431339i | ||||
\(823\) | −7.32107 | − | 12.6805i | −0.255197 | − | 0.442013i | 0.709752 | − | 0.704451i | \(-0.248807\pi\) |
−0.964949 | + | 0.262438i | \(0.915473\pi\) | |||||||
\(824\) | −9.09500 | − | 9.09500i | −0.316839 | − | 0.316839i | ||||
\(825\) | −47.0798 | − | 8.38495i | −1.63911 | − | 0.291927i | ||||
\(826\) | 1.70126 | − | 6.34918i | 0.0591943 | − | 0.220916i | ||||
\(827\) | −18.9483 | − | 18.9483i | −0.658897 | − | 0.658897i | 0.296222 | − | 0.955119i | \(-0.404273\pi\) |
−0.955119 | + | 0.296222i | \(0.904273\pi\) | |||||||
\(828\) | −4.96865 | + | 16.8253i | −0.172673 | + | 0.584719i | ||||
\(829\) | −18.0393 | − | 10.4150i | −0.626530 | − | 0.361727i | 0.152877 | − | 0.988245i | \(-0.451146\pi\) |
−0.779407 | + | 0.626518i | \(0.784479\pi\) | |||||||
\(830\) | 21.5744 | + | 6.16035i | 0.748857 | + | 0.213829i | ||||
\(831\) | 4.84185 | + | 2.07784i | 0.167962 | + | 0.0720793i | ||||
\(832\) | −0.165292 | − | 3.60176i | −0.00573048 | − | 0.124869i | ||||
\(833\) | −20.0988 | −0.696383 | ||||||||
\(834\) | 0.331499 | − | 2.29302i | 0.0114789 | − | 0.0794008i | ||||
\(835\) | −33.1528 | + | 18.4252i | −1.14730 | + | 0.637630i | ||||
\(836\) | −12.3256 | − | 21.3485i | −0.426288 | − | 0.738353i | ||||
\(837\) | 17.9585 | + | 8.25183i | 0.620737 | + | 0.285225i | ||||
\(838\) | −9.29151 | + | 34.6764i | −0.320970 | + | 1.19788i | ||||
\(839\) | −24.2057 | − | 6.48590i | −0.835674 | − | 0.223918i | −0.184487 | − | 0.982835i | \(-0.559062\pi\) |
−0.651188 | + | 0.758917i | \(0.725729\pi\) | |||||||
\(840\) | 1.88497 | + | 0.304028i | 0.0650377 | + | 0.0104900i | ||||
\(841\) | 1.09702 | + | 1.90010i | 0.0378284 | + | 0.0655207i | ||||
\(842\) | 8.62797 | + | 4.98136i | 0.297340 | + | 0.171669i | ||||
\(843\) | −2.52921 | + | 17.4949i | −0.0871106 | + | 0.602556i | ||||
\(844\) | − | 23.3804i | − | 0.804786i | ||||||
\(845\) | 27.4321 | − | 9.61677i | 0.943691 | − | 0.330827i | ||||
\(846\) | −13.6808 | − | 14.3925i | −0.470354 | − | 0.494825i | ||||
\(847\) | 9.28132 | − | 2.48692i | 0.318910 | − | 0.0854517i | ||||
\(848\) | −4.41079 | + | 7.63972i | −0.151467 | + | 0.262349i | ||||
\(849\) | 1.66955 | + | 14.0558i | 0.0572987 | + | 0.482395i | ||||
\(850\) | −14.2325 | − | 4.31666i | −0.488169 | − | 0.148060i | ||||
\(851\) | −7.03902 | + | 26.2700i | −0.241295 | + | 0.900523i | ||||
\(852\) | −19.3140 | − | 15.2129i | −0.661687 | − | 0.521186i | ||||
\(853\) | −9.17379 | + | 9.17379i | −0.314105 | + | 0.314105i | −0.846497 | − | 0.532393i | \(-0.821293\pi\) |
0.532393 | + | 0.846497i | \(0.321293\pi\) | |||||||
\(854\) | −0.545257 | + | 0.314804i | −0.0186583 | + | 0.0107724i | ||||
\(855\) | 8.94975 | − | 28.5787i | 0.306075 | − | 0.977372i | ||||
\(856\) | −2.06088 | + | 0.552212i | −0.0704395 | + | 0.0188742i | ||||
\(857\) | 34.8511i | 1.19049i | 0.803543 | + | 0.595246i | \(0.202945\pi\) | ||||
−0.803543 | + | 0.595246i | \(0.797055\pi\) | |||||||
\(858\) | 12.1321 | − | 32.2793i | 0.414183 | − | 1.10200i | ||||
\(859\) | −45.0998 | −1.53878 | −0.769392 | − | 0.638777i | \(-0.779441\pi\) | ||||
−0.769392 | + | 0.638777i | \(0.779441\pi\) | |||||||
\(860\) | −0.652459 | − | 0.186303i | −0.0222487 | − | 0.00635289i | ||||
\(861\) | −0.207567 | + | 0.155132i | −0.00707385 | + | 0.00528688i | ||||
\(862\) | 7.47332 | + | 12.9442i | 0.254542 | + | 0.440880i | ||||
\(863\) | −5.42906 | + | 5.42906i | −0.184807 | + | 0.184807i | −0.793447 | − | 0.608640i | \(-0.791716\pi\) |
0.608640 | + | 0.793447i | \(0.291716\pi\) | |||||||
\(864\) | −0.481912 | − | 5.17376i | −0.0163950 | − | 0.176015i | ||||
\(865\) | 36.2201 | − | 35.0554i | 1.23152 | − | 1.19192i | ||||
\(866\) | 0.857587 | − | 0.857587i | 0.0291420 | − | 0.0291420i | ||||
\(867\) | −1.66545 | − | 14.0214i | −0.0565617 | − | 0.476190i | ||||
\(868\) | 0.937542 | − | 1.62387i | 0.0318222 | − | 0.0551177i | ||||
\(869\) | −8.24771 | − | 30.7809i | −0.279785 | − | 1.04417i | ||||
\(870\) | 12.6649 | + | 17.5360i | 0.429380 | + | 0.594526i | ||||
\(871\) | −12.3088 | + | 3.91112i | −0.417069 | + | 0.132523i | ||||
\(872\) | 6.11598 | 0.207113 | ||||||||
\(873\) | −29.0263 | − | 17.7541i | −0.982391 | − | 0.600886i | ||||
\(874\) | 13.0533 | − | 22.6089i | 0.441533 | − | 0.764758i | ||||
\(875\) | −4.90264 | + | 2.51869i | −0.165739 | + | 0.0851471i | ||||
\(876\) | −1.67670 | − | 4.19762i | −0.0566505 | − | 0.141824i | ||||
\(877\) | −9.99214 | + | 37.2912i | −0.337410 | + | 1.25923i | 0.563822 | + | 0.825897i | \(0.309331\pi\) |
−0.901232 | + | 0.433337i | \(0.857336\pi\) | |||||||
\(878\) | −9.66467 | + | 36.0690i | −0.326167 | + | 1.21727i | ||||
\(879\) | 9.56030 | + | 23.9342i | 0.322461 | + | 0.807279i | ||||
\(880\) | 12.3456 | + | 0.201740i | 0.416169 | + | 0.00680065i | ||||
\(881\) | −10.3623 | + | 17.9481i | −0.349115 | + | 0.604685i | −0.986093 | − | 0.166197i | \(-0.946851\pi\) |
0.636977 | + | 0.770883i | \(0.280185\pi\) | |||||||
\(882\) | 17.2926 | + | 10.5771i | 0.582271 | + | 0.356150i | ||||
\(883\) | −44.5825 | −1.50032 | −0.750161 | − | 0.661255i | \(-0.770024\pi\) | ||||
−0.750161 | + | 0.661255i | \(0.770024\pi\) | |||||||
\(884\) | 4.93098 | − | 9.52405i | 0.165847 | − | 0.320329i | ||||
\(885\) | 41.8632 | − | 30.2345i | 1.40722 | − | 1.01632i | ||||
\(886\) | 10.3210 | + | 38.5186i | 0.346741 | + | 1.29406i | ||||
\(887\) | 8.57296 | − | 14.8488i | 0.287852 | − | 0.498574i | −0.685445 | − | 0.728124i | \(-0.740392\pi\) |
0.973297 | + | 0.229551i | \(0.0737256\pi\) | |||||||
\(888\) | −0.950121 | − | 7.99903i | −0.0318840 | − | 0.268430i | ||||
\(889\) | 2.05741 | − | 2.05741i | 0.0690032 | − | 0.0690032i | ||||
\(890\) | 14.4667 | − | 14.0015i | 0.484923 | − | 0.469330i | ||||
\(891\) | 15.2785 | − | 47.2898i | 0.511847 | − | 1.58427i | ||||
\(892\) | −7.38736 | + | 7.38736i | −0.247347 | + | 0.247347i | ||||
\(893\) | 14.7747 | + | 25.5905i | 0.494416 | + | 0.856354i | ||||
\(894\) | −25.5978 | + | 19.1314i | −0.856119 | + | 0.639849i | ||||
\(895\) | −9.96373 | + | 34.8943i | −0.333051 | + | 1.16639i | ||||
\(896\) | −0.492988 | −0.0164696 | ||||||||
\(897\) | 36.0294 | − | 5.96553i | 1.20299 | − | 0.199183i | ||||
\(898\) | − | 37.2029i | − | 1.24148i | ||||||
\(899\) | 20.5194 | − | 5.49815i | 0.684360 | − | 0.183374i | ||||
\(900\) | 9.97362 | + | 11.2039i | 0.332454 | + | 0.373463i | ||||
\(901\) | −22.7246 | + | 13.1201i | −0.757067 | + | 0.437093i | ||||
\(902\) | −1.18494 | + | 1.18494i | −0.0394541 | + | 0.0394541i | ||||
\(903\) | 0.203550 | + | 0.160329i | 0.00677373 | + | 0.00533541i | ||||
\(904\) | −3.72713 | + | 13.9098i | −0.123963 | + | 0.462634i | ||||
\(905\) | −10.8277 | − | 43.2222i | −0.359923 | − | 1.43676i | ||||
\(906\) | −2.89526 | − | 24.3751i | −0.0961885 | − | 0.809807i | ||||
\(907\) | 5.12490 | − | 8.87658i | 0.170169 | − | 0.294742i | −0.768310 | − | 0.640078i | \(-0.778902\pi\) |
0.938479 | + | 0.345336i | \(0.112235\pi\) | |||||||
\(908\) | −20.9998 | + | 5.62689i | −0.696904 | + | 0.186735i | ||||
\(909\) | −22.5704 | − | 23.7446i | −0.748611 | − | 0.787559i | ||||
\(910\) | −1.14157 | − | 3.80713i | −0.0378427 | − | 0.126205i | ||||
\(911\) | 27.5545i | 0.912922i | 0.889743 | + | 0.456461i | \(0.150883\pi\) | ||||
−0.889743 | + | 0.456461i | \(0.849117\pi\) | |||||||
\(912\) | −1.10635 | + | 7.65281i | −0.0366351 | + | 0.253410i | ||||
\(913\) | −47.9831 | − | 27.7030i | −1.58801 | − | 0.916837i | ||||
\(914\) | 10.8503 | + | 18.7933i | 0.358896 | + | 0.621626i | ||||
\(915\) | −4.88319 | − | 0.787612i | −0.161433 | − | 0.0260377i | ||||
\(916\) | −15.6528 | − | 4.19415i | −0.517183 | − | 0.138579i | ||||
\(917\) | −0.201506 | + | 0.752030i | −0.00665431 | + | 0.0248342i | ||||
\(918\) | 6.45334 | − | 14.0444i | 0.212992 | − | 0.463536i | ||||
\(919\) | 20.8549 | + | 36.1218i | 0.687940 | + | 1.19155i | 0.972503 | + | 0.232890i | \(0.0748181\pi\) |
−0.284563 | + | 0.958657i | \(0.591849\pi\) | |||||||
\(920\) | 6.35221 | + | 11.4296i | 0.209426 | + | 0.376824i | ||||
\(921\) | −0.0630622 | + | 0.436210i | −0.00207797 | + | 0.0143736i | ||||
\(922\) | 2.68949 | 0.0885736 | ||||||||
\(923\) | −10.9660 | + | 49.9909i | −0.360950 | + | 1.64547i | ||||
\(924\) | −4.33287 | − | 1.85941i | −0.142541 | − | 0.0611702i | ||||
\(925\) | 15.8967 | + | 16.9712i | 0.522681 | + | 0.558009i | ||||
\(926\) | −4.91022 | − | 2.83491i | −0.161360 | − | 0.0931611i | ||||
\(927\) | −10.9285 | + | 37.0069i | −0.358938 | + | 1.21547i | ||||
\(928\) | −3.94931 | − | 3.94931i | −0.129642 | − | 0.129642i | ||||
\(929\) | −8.78345 | + | 32.7803i | −0.288176 | + | 1.07549i | 0.658312 | + | 0.752746i | \(0.271271\pi\) |
−0.946487 | + | 0.322741i | \(0.895396\pi\) | |||||||
\(930\) | 13.7674 | − | 5.24010i | 0.451451 | − | 0.171830i | ||||
\(931\) | −21.3299 | − | 21.3299i | −0.699059 | − | 0.699059i | ||||
\(932\) | −8.84878 | − | 15.3265i | −0.289851 | − | 0.502037i | ||||
\(933\) | 17.4910 | − | 13.0725i | 0.572630 | − | 0.427974i | ||||
\(934\) | 9.46851 | − | 2.53708i | 0.309819 | − | 0.0830158i | ||||
\(935\) | 31.5025 | + | 18.8809i | 1.03024 | + | 0.617470i | ||||
\(936\) | −9.25460 | + | 5.59932i | −0.302496 | + | 0.183020i | ||||
\(937\) | − | 41.1894i | − | 1.34560i | −0.739825 | − | 0.672799i | \(-0.765092\pi\) | ||
0.739825 | − | 0.672799i | \(-0.234908\pi\) | |||||||
\(938\) | 0.457051 | + | 1.70574i | 0.0149232 | + | 0.0556943i | ||||
\(939\) | −2.99390 | − | 4.00584i | −0.0977022 | − | 0.130726i | ||||
\(940\) | −14.7987 | − | 0.241826i | −0.482680 | − | 0.00788751i | ||||
\(941\) | 23.6335 | + | 23.6335i | 0.770429 | + | 0.770429i | 0.978181 | − | 0.207752i | \(-0.0666148\pi\) |
−0.207752 | + | 0.978181i | \(0.566615\pi\) | |||||||
\(942\) | 18.5769 | − | 23.5848i | 0.605268 | − | 0.768435i | ||||
\(943\) | −1.71422 | − | 0.459324i | −0.0558227 | − | 0.0149576i | ||||
\(944\) | −9.42807 | + | 9.42807i | −0.306858 | + | 0.306858i | ||||
\(945\) | −1.90123 | − | 5.40327i | −0.0618471 | − | 0.175768i | ||||
\(946\) | 1.45112 | + | 0.837804i | 0.0471799 | + | 0.0272394i | ||||
\(947\) | 12.8575 | − | 3.44516i | 0.417813 | − | 0.111953i | −0.0437869 | − | 0.999041i | \(-0.513942\pi\) |
0.461600 | + | 0.887088i | \(0.347276\pi\) | |||||||
\(948\) | −3.94192 | + | 9.18561i | −0.128028 | + | 0.298335i | ||||
\(949\) | −6.34139 | + | 6.95143i | −0.205850 | + | 0.225653i | ||||
\(950\) | −10.5231 | − | 19.6853i | −0.341416 | − | 0.638674i | ||||
\(951\) | −3.06662 | + | 21.2122i | −0.0994419 | + | 0.687853i | ||||
\(952\) | −1.26995 | − | 0.733205i | −0.0411592 | − | 0.0237633i | ||||
\(953\) | −2.88929 | + | 1.66813i | −0.0935932 | + | 0.0540361i | −0.546066 | − | 0.837742i | \(-0.683875\pi\) |
0.452473 | + | 0.891778i | \(0.350542\pi\) | |||||||
\(954\) | 26.4563 | + | 0.670760i | 0.856553 | + | 0.0217166i | ||||
\(955\) | 22.0153 | − | 21.3074i | 0.712400 | − | 0.689491i | ||||
\(956\) | −3.00376 | − | 0.804855i | −0.0971485 | − | 0.0260309i | ||||
\(957\) | −19.8148 | − | 49.6062i | −0.640520 | − | 1.60354i | ||||
\(958\) | −27.4397 | + | 15.8423i | −0.886537 | + | 0.511842i | ||||
\(959\) | −2.93982 | + | 5.09192i | −0.0949318 | + | 0.164427i | ||||
\(960\) | −3.00295 | − | 2.44587i | −0.0969199 | − | 0.0789400i | ||||
\(961\) | 16.5333i | 0.533333i | ||||||||
\(962\) | −14.1222 | + | 9.04110i | −0.455318 | + | 0.291497i | ||||
\(963\) | 4.40984 | + | 4.63927i | 0.142105 | + | 0.149498i | ||||
\(964\) | −2.75426 | − | 10.2790i | −0.0887088 | − | 0.331066i | ||||
\(965\) | −26.6570 | − | 47.9644i | −0.858118 | − | 1.54403i | ||||
\(966\) | −0.588970 | − | 4.95851i | −0.0189498 | − | 0.159538i | ||||
\(967\) | −12.1157 | − | 12.1157i | −0.389616 | − | 0.389616i | 0.484935 | − | 0.874550i | \(-0.338843\pi\) |
−0.874550 | + | 0.484935i | \(0.838843\pi\) | |||||||
\(968\) | −18.8267 | − | 5.04459i | −0.605112 | − | 0.162139i | ||||
\(969\) | −14.2318 | + | 18.0684i | −0.457190 | + | 0.580440i | ||||
\(970\) | −24.6009 | + | 6.16281i | −0.789888 | + | 0.197876i | ||||
\(971\) | 9.35717 | − | 5.40237i | 0.300286 | − | 0.173370i | −0.342285 | − | 0.939596i | \(-0.611201\pi\) |
0.642571 | + | 0.766226i | \(0.277868\pi\) | |||||||
\(972\) | −12.9433 | + | 8.68742i | −0.415156 | + | 0.278649i | ||||
\(973\) | 0.170676 | + | 0.636970i | 0.00547161 | + | 0.0204203i | ||||
\(974\) | −27.0766 | −0.867592 | ||||||||
\(975\) | 11.9347 | − | 28.8542i | 0.382215 | − | 0.924073i | ||||
\(976\) | 1.27713 | 0.0408799 | ||||||||
\(977\) | −1.38311 | − | 5.16185i | −0.0442497 | − | 0.165142i | 0.940265 | − | 0.340443i | \(-0.110577\pi\) |
−0.984515 | + | 0.175301i | \(0.943910\pi\) | |||||||
\(978\) | −15.0709 | − | 20.1649i | −0.481915 | − | 0.644803i | ||||
\(979\) | −43.0558 | + | 24.8583i | −1.37607 | + | 0.794474i | ||||
\(980\) | 14.6561 | − | 3.67153i | 0.468173 | − | 0.117283i | ||||
\(981\) | −8.76829 | − | 16.1172i | −0.279950 | − | 0.514583i | ||||
\(982\) | 7.88247 | + | 2.11210i | 0.251540 | + | 0.0673999i | ||||
\(983\) | −2.54783 | − | 2.54783i | −0.0812630 | − | 0.0812630i | 0.665307 | − | 0.746570i | \(-0.268301\pi\) |
−0.746570 | + | 0.665307i | \(0.768301\pi\) | |||||||
\(984\) | 0.521968 | − | 0.0619991i | 0.0166397 | − | 0.00197646i | ||||
\(985\) | 2.69279 | + | 4.84518i | 0.0857993 | + | 0.154380i | ||||
\(986\) | −4.29983 | − | 16.0472i | −0.136934 | − | 0.511046i | ||||
\(987\) | 5.19383 | + | 2.22889i | 0.165321 | + | 0.0709462i | ||||
\(988\) | 15.3404 | − | 4.87439i | 0.488043 | − | 0.155075i | ||||
\(989\) | 1.77454i | 0.0564270i | ||||||||
\(990\) | −17.1678 | − | 32.8230i | −0.545630 | − | 1.04318i | ||||
\(991\) | −2.73931 | + | 4.74462i | −0.0870170 | + | 0.150718i | −0.906249 | − | 0.422744i | \(-0.861067\pi\) |
0.819232 | + | 0.573462i | \(0.194400\pi\) | |||||||
\(992\) | −3.29394 | + | 1.90175i | −0.104583 | + | 0.0603808i | ||||
\(993\) | −13.0170 | + | 5.19955i | −0.413083 | + | 0.165003i | ||||
\(994\) | 6.75934 | + | 1.81116i | 0.214393 | + | 0.0574465i | ||||
\(995\) | −5.00553 | + | 4.84457i | −0.158686 | + | 0.153583i | ||||
\(996\) | 6.44676 | + | 16.1394i | 0.204273 | + | 0.511397i | ||||
\(997\) | −47.9472 | + | 27.6823i | −1.51850 | + | 0.876708i | −0.518740 | + | 0.854932i | \(0.673599\pi\) |
−0.999763 | + | 0.0217763i | \(0.993068\pi\) | |||||||
\(998\) | −20.6074 | − | 11.8977i | −0.652317 | − | 0.376616i | ||||
\(999\) | −19.7174 | + | 13.9718i | −0.623830 | + | 0.442047i |
(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 | 390.2.bj.a.149.3 | yes | 112 | |
3.2 | odd | 2 | inner | 390.2.bj.a.149.21 | yes | 112 | |
5.4 | even | 2 | inner | 390.2.bj.a.149.26 | yes | 112 | |
13.11 | odd | 12 | inner | 390.2.bj.a.89.8 | yes | 112 | |
15.14 | odd | 2 | inner | 390.2.bj.a.149.8 | yes | 112 | |
39.11 | even | 12 | inner | 390.2.bj.a.89.26 | yes | 112 | |
65.24 | odd | 12 | inner | 390.2.bj.a.89.21 | yes | 112 | |
195.89 | even | 12 | inner | 390.2.bj.a.89.3 | ✓ | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bj.a.89.3 | ✓ | 112 | 195.89 | even | 12 | inner | |
390.2.bj.a.89.8 | yes | 112 | 13.11 | odd | 12 | inner | |
390.2.bj.a.89.21 | yes | 112 | 65.24 | odd | 12 | inner | |
390.2.bj.a.89.26 | yes | 112 | 39.11 | even | 12 | inner | |
390.2.bj.a.149.3 | yes | 112 | 1.1 | even | 1 | trivial | |
390.2.bj.a.149.8 | yes | 112 | 15.14 | odd | 2 | inner | |
390.2.bj.a.149.21 | yes | 112 | 3.2 | odd | 2 | inner | |
390.2.bj.a.149.26 | yes | 112 | 5.4 | even | 2 | inner |