Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,2,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), 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: | \(0.391266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 4.3 | ||
Character | \(\chi\) | \(=\) | 49.4 |
Dual form | 49.2.g.a.37.3 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.174575 | + | 0.119023i | 0.123443 | + | 0.0841620i | 0.623468 | − | 0.781849i | \(-0.285723\pi\) |
−0.500025 | + | 0.866011i | \(0.666676\pi\) | |||||||
\(3\) | 1.58372 | + | 1.46948i | 0.914360 | + | 0.848402i | 0.988865 | − | 0.148818i | \(-0.0475470\pi\) |
−0.0745044 | + | 0.997221i | \(0.523737\pi\) | |||||||
\(4\) | −0.714372 | − | 1.82019i | −0.357186 | − | 0.910095i | ||||
\(5\) | −3.75050 | + | 1.15688i | −1.67727 | + | 0.517371i | −0.979926 | − | 0.199361i | \(-0.936113\pi\) |
−0.697349 | + | 0.716732i | \(0.745637\pi\) | |||||||
\(6\) | 0.101576 | + | 0.445032i | 0.0414681 | + | 0.181684i | ||||
\(7\) | 1.85388 | − | 1.88763i | 0.700700 | − | 0.713456i | ||||
\(8\) | 0.185965 | − | 0.814768i | 0.0657487 | − | 0.288064i | ||||
\(9\) | 0.124614 | + | 1.66286i | 0.0415380 | + | 0.554287i | ||||
\(10\) | −0.792437 | − | 0.244435i | −0.250591 | − | 0.0772970i | ||||
\(11\) | −0.0750093 | + | 1.00093i | −0.0226162 | + | 0.301792i | 0.974413 | + | 0.224765i | \(0.0721616\pi\) |
−0.997029 | + | 0.0770262i | \(0.975457\pi\) | |||||||
\(12\) | 1.54336 | − | 3.93242i | 0.445530 | − | 1.13519i | ||||
\(13\) | −2.55553 | + | 1.23068i | −0.708777 | + | 0.341329i | −0.753298 | − | 0.657680i | \(-0.771538\pi\) |
0.0445211 | + | 0.999008i | \(0.485824\pi\) | |||||||
\(14\) | 0.548311 | − | 0.108878i | 0.146542 | − | 0.0290988i | ||||
\(15\) | −7.63974 | − | 3.67910i | −1.97257 | − | 0.949940i | ||||
\(16\) | −2.73732 | + | 2.53986i | −0.684329 | + | 0.634964i | ||||
\(17\) | 2.59163 | − | 0.390625i | 0.628562 | − | 0.0947405i | 0.172967 | − | 0.984928i | \(-0.444665\pi\) |
0.455595 | + | 0.890187i | \(0.349426\pi\) | |||||||
\(18\) | −0.176164 | + | 0.305125i | −0.0415223 | + | 0.0719187i | ||||
\(19\) | 1.64359 | + | 2.84677i | 0.377064 | + | 0.653095i | 0.990634 | − | 0.136546i | \(-0.0436002\pi\) |
−0.613569 | + | 0.789641i | \(0.710267\pi\) | |||||||
\(20\) | 4.78499 | + | 6.00018i | 1.06996 | + | 1.34168i | ||||
\(21\) | 5.70984 | − | 0.265241i | 1.24599 | − | 0.0578802i | ||||
\(22\) | −0.132228 | + | 0.165809i | −0.0281912 | + | 0.0353506i | ||||
\(23\) | −2.67812 | − | 0.403662i | −0.558427 | − | 0.0841694i | −0.136237 | − | 0.990676i | \(-0.543501\pi\) |
−0.422191 | + | 0.906507i | \(0.638739\pi\) | |||||||
\(24\) | 1.49180 | − | 1.01709i | 0.304512 | − | 0.207613i | ||||
\(25\) | 8.59669 | − | 5.86113i | 1.71934 | − | 1.17223i | ||||
\(26\) | −0.592610 | − | 0.0893216i | −0.116220 | − | 0.0175174i | ||||
\(27\) | 1.79487 | − | 2.25069i | 0.345422 | − | 0.433146i | ||||
\(28\) | −4.76020 | − | 2.02594i | −0.899593 | − | 0.382867i | ||||
\(29\) | 2.95125 | + | 3.70075i | 0.548034 | + | 0.687213i | 0.976295 | − | 0.216442i | \(-0.0694453\pi\) |
−0.428262 | + | 0.903655i | \(0.640874\pi\) | |||||||
\(30\) | −0.895807 | − | 1.55158i | −0.163551 | − | 0.283279i | ||||
\(31\) | −1.33461 | + | 2.31161i | −0.239703 | + | 0.415177i | −0.960629 | − | 0.277835i | \(-0.910383\pi\) |
0.720926 | + | 0.693012i | \(0.243717\pi\) | |||||||
\(32\) | −2.43294 | + | 0.366707i | −0.430087 | + | 0.0648252i | ||||
\(33\) | −1.58964 | + | 1.47497i | −0.276720 | + | 0.256759i | ||||
\(34\) | 0.498926 | + | 0.240270i | 0.0855651 | + | 0.0412060i | ||||
\(35\) | −4.76922 | + | 9.22425i | −0.806145 | + | 1.55918i | ||||
\(36\) | 2.93770 | − | 1.41472i | 0.489617 | − | 0.235787i | ||||
\(37\) | 1.02078 | − | 2.60091i | 0.167816 | − | 0.427587i | −0.822082 | − | 0.569369i | \(-0.807188\pi\) |
0.989898 | + | 0.141781i | \(0.0452830\pi\) | |||||||
\(38\) | −0.0519031 | + | 0.692599i | −0.00841980 | + | 0.112354i | ||||
\(39\) | −5.85569 | − | 1.80624i | −0.937661 | − | 0.289230i | ||||
\(40\) | 0.245122 | + | 3.27093i | 0.0387572 | + | 0.517179i | ||||
\(41\) | 0.845841 | − | 3.70587i | 0.132098 | − | 0.578760i | −0.864942 | − | 0.501873i | \(-0.832645\pi\) |
0.997040 | − | 0.0768876i | \(-0.0244983\pi\) | |||||||
\(42\) | 1.02836 | + | 0.633298i | 0.158680 | + | 0.0977201i | ||||
\(43\) | −0.320167 | − | 1.40274i | −0.0488251 | − | 0.213917i | 0.944630 | − | 0.328136i | \(-0.106420\pi\) |
−0.993456 | + | 0.114219i | \(0.963563\pi\) | |||||||
\(44\) | 1.87547 | − | 0.578505i | 0.282737 | − | 0.0872129i | ||||
\(45\) | −2.39109 | − | 6.09239i | −0.356442 | − | 0.908200i | ||||
\(46\) | −0.419488 | − | 0.389228i | −0.0618501 | − | 0.0573885i | ||||
\(47\) | −4.46519 | − | 3.04432i | −0.651315 | − | 0.444059i | 0.192061 | − | 0.981383i | \(-0.438483\pi\) |
−0.843376 | + | 0.537324i | \(0.819435\pi\) | |||||||
\(48\) | −8.06740 | −1.16443 | ||||||||
\(49\) | −0.126272 | − | 6.99886i | −0.0180389 | − | 0.999837i | ||||
\(50\) | 2.19837 | 0.310897 | ||||||||
\(51\) | 4.67842 | + | 3.18970i | 0.655110 | + | 0.446647i | ||||
\(52\) | 4.06567 | + | 3.77239i | 0.563807 | + | 0.523136i | ||||
\(53\) | −0.112603 | − | 0.286907i | −0.0154672 | − | 0.0394097i | 0.922932 | − | 0.384964i | \(-0.125786\pi\) |
−0.938399 | + | 0.345554i | \(0.887691\pi\) | |||||||
\(54\) | 0.581223 | − | 0.179283i | 0.0790944 | − | 0.0243974i | ||||
\(55\) | −0.876629 | − | 3.84076i | −0.118205 | − | 0.517888i | ||||
\(56\) | −1.19322 | − | 1.86151i | −0.159451 | − | 0.248755i | ||||
\(57\) | −1.58029 | + | 6.92370i | −0.209314 | + | 0.917066i | ||||
\(58\) | 0.0747392 | + | 0.997325i | 0.00981373 | + | 0.130955i | ||||
\(59\) | −7.68552 | − | 2.37067i | −1.00057 | − | 0.308635i | −0.249154 | − | 0.968464i | \(-0.580153\pi\) |
−0.751416 | + | 0.659829i | \(0.770629\pi\) | |||||||
\(60\) | −1.23905 | + | 16.5340i | −0.159961 | + | 2.13453i | ||||
\(61\) | 2.16847 | − | 5.52518i | 0.277645 | − | 0.707427i | −0.722231 | − | 0.691652i | \(-0.756883\pi\) |
0.999876 | − | 0.0157748i | \(-0.00502148\pi\) | |||||||
\(62\) | −0.508123 | + | 0.244699i | −0.0645317 | + | 0.0310768i | ||||
\(63\) | 3.36988 | + | 2.84751i | 0.424565 | + | 0.358753i | ||||
\(64\) | 6.26030 | + | 3.01480i | 0.782538 | + | 0.376850i | ||||
\(65\) | 8.16078 | − | 7.57209i | 1.01222 | − | 0.939203i | ||||
\(66\) | −0.453065 | + | 0.0682886i | −0.0557685 | + | 0.00840574i | ||||
\(67\) | −5.38782 | + | 9.33197i | −0.658227 | + | 1.14008i | 0.322848 | + | 0.946451i | \(0.395360\pi\) |
−0.981074 | + | 0.193631i | \(0.937974\pi\) | |||||||
\(68\) | −2.56240 | − | 4.43821i | −0.310737 | − | 0.538212i | ||||
\(69\) | −3.64822 | − | 4.57473i | −0.439194 | − | 0.550732i | ||||
\(70\) | −1.93048 | + | 1.04267i | −0.230737 | + | 0.124623i | ||||
\(71\) | 5.08429 | − | 6.37550i | 0.603394 | − | 0.756633i | −0.382508 | − | 0.923952i | \(-0.624940\pi\) |
0.985903 | + | 0.167319i | \(0.0535111\pi\) | |||||||
\(72\) | 1.37802 | + | 0.207703i | 0.162401 | + | 0.0244780i | ||||
\(73\) | −10.5903 | + | 7.22031i | −1.23950 | + | 0.845074i | −0.992296 | − | 0.123891i | \(-0.960463\pi\) |
−0.247200 | + | 0.968965i | \(0.579510\pi\) | |||||||
\(74\) | 0.487771 | − | 0.332557i | 0.0567022 | − | 0.0386589i | ||||
\(75\) | 22.2275 | + | 3.35026i | 2.56661 | + | 0.386855i | ||||
\(76\) | 4.00754 | − | 5.02529i | 0.459696 | − | 0.576441i | ||||
\(77\) | 1.75032 | + | 1.99719i | 0.199468 | + | 0.227601i | ||||
\(78\) | −0.807272 | − | 1.01229i | −0.0914055 | − | 0.114619i | ||||
\(79\) | 2.63667 | + | 4.56684i | 0.296648 | + | 0.513810i | 0.975367 | − | 0.220588i | \(-0.0707978\pi\) |
−0.678719 | + | 0.734398i | \(0.737464\pi\) | |||||||
\(80\) | 7.32800 | − | 12.6925i | 0.819295 | − | 1.41906i | ||||
\(81\) | 11.0966 | − | 1.67254i | 1.23296 | − | 0.185838i | ||||
\(82\) | 0.588747 | − | 0.546277i | 0.0650162 | − | 0.0603262i | ||||
\(83\) | −1.55450 | − | 0.748609i | −0.170629 | − | 0.0821705i | 0.346620 | − | 0.938006i | \(-0.387329\pi\) |
−0.517249 | + | 0.855835i | \(0.673044\pi\) | |||||||
\(84\) | −4.56174 | − | 10.2035i | −0.497727 | − | 1.11330i | ||||
\(85\) | −9.26800 | + | 4.46323i | −1.00526 | + | 0.484106i | ||||
\(86\) | 0.111066 | − | 0.282991i | 0.0119765 | − | 0.0305157i | ||||
\(87\) | −0.764215 | + | 10.1977i | −0.0819325 | + | 1.09331i | ||||
\(88\) | 0.801576 | + | 0.247254i | 0.0854483 | + | 0.0263573i | ||||
\(89\) | 1.00544 | + | 13.4166i | 0.106576 | + | 1.42216i | 0.752418 | + | 0.658686i | \(0.228888\pi\) |
−0.645842 | + | 0.763471i | \(0.723493\pi\) | |||||||
\(90\) | 0.307711 | − | 1.34817i | 0.0324356 | − | 0.142110i | ||||
\(91\) | −2.41458 | + | 7.10542i | −0.253117 | + | 0.744850i | ||||
\(92\) | 1.17844 | + | 5.16306i | 0.122860 | + | 0.538286i | ||||
\(93\) | −5.51049 | + | 1.69976i | −0.571412 | + | 0.176257i | ||||
\(94\) | −0.417166 | − | 1.06292i | −0.0430274 | − | 0.109632i | ||||
\(95\) | −9.45763 | − | 8.77540i | −0.970332 | − | 0.900337i | ||||
\(96\) | −4.39196 | − | 2.99439i | −0.448253 | − | 0.305613i | ||||
\(97\) | 7.32762 | 0.744007 | 0.372004 | − | 0.928231i | \(-0.378671\pi\) | ||||
0.372004 | + | 0.928231i | \(0.378671\pi\) | |||||||
\(98\) | 0.810982 | − | 1.23685i | 0.0819215 | − | 0.124941i | ||||
\(99\) | −1.67375 | −0.168219 | ||||||||
\(100\) | −16.8096 | − | 11.4606i | −1.68096 | − | 1.14606i | ||||
\(101\) | −4.73513 | − | 4.39356i | −0.471163 | − | 0.437176i | 0.408510 | − | 0.912754i | \(-0.366048\pi\) |
−0.879674 | + | 0.475578i | \(0.842239\pi\) | |||||||
\(102\) | 0.437087 | + | 1.11368i | 0.0432781 | + | 0.110271i | ||||
\(103\) | 0.612840 | − | 0.189036i | 0.0603849 | − | 0.0186263i | −0.264416 | − | 0.964409i | \(-0.585179\pi\) |
0.324800 | + | 0.945783i | \(0.394703\pi\) | |||||||
\(104\) | 0.527477 | + | 2.31103i | 0.0517234 | + | 0.226615i | ||||
\(105\) | −21.1079 | + | 7.60036i | −2.05992 | + | 0.741720i | ||||
\(106\) | 0.0144909 | − | 0.0634890i | 0.00140748 | − | 0.00616659i | ||||
\(107\) | −1.19568 | − | 15.9552i | −0.115591 | − | 1.54245i | −0.689955 | − | 0.723852i | \(-0.742370\pi\) |
0.574364 | − | 0.818600i | \(-0.305249\pi\) | |||||||
\(108\) | −5.37889 | − | 1.65917i | −0.517584 | − | 0.159654i | ||||
\(109\) | −0.0808421 | + | 1.07876i | −0.00774327 | + | 0.103327i | −0.999736 | − | 0.0229664i | \(-0.992689\pi\) |
0.991993 | + | 0.126293i | \(0.0403080\pi\) | |||||||
\(110\) | 0.304102 | − | 0.774839i | 0.0289950 | − | 0.0738780i | ||||
\(111\) | 5.43861 | − | 2.61910i | 0.516210 | − | 0.248594i | ||||
\(112\) | −0.280345 | + | 9.87562i | −0.0264901 | + | 0.933158i | ||||
\(113\) | 15.6127 | + | 7.51866i | 1.46872 | + | 0.707296i | 0.985730 | − | 0.168333i | \(-0.0538383\pi\) |
0.482985 | + | 0.875629i | \(0.339553\pi\) | |||||||
\(114\) | −1.09996 | + | 1.02061i | −0.103020 | + | 0.0955890i | ||||
\(115\) | 10.5113 | − | 1.58432i | 0.980183 | − | 0.147739i | ||||
\(116\) | 4.62778 | − | 8.01556i | 0.429679 | − | 0.744226i | ||||
\(117\) | −2.36490 | − | 4.09613i | −0.218635 | − | 0.378687i | ||||
\(118\) | −1.05953 | − | 1.32861i | −0.0975380 | − | 0.122309i | ||||
\(119\) | 4.06721 | − | 5.61620i | 0.372840 | − | 0.514836i | ||||
\(120\) | −4.41834 | + | 5.54043i | −0.403338 | + | 0.505769i | ||||
\(121\) | 9.88091 | + | 1.48931i | 0.898264 | + | 0.135392i | ||||
\(122\) | 1.03618 | − | 0.706458i | 0.0938117 | − | 0.0639597i | ||||
\(123\) | 6.78527 | − | 4.62612i | 0.611807 | − | 0.417123i | ||||
\(124\) | 5.16097 | + | 0.777892i | 0.463469 | + | 0.0698567i | ||||
\(125\) | −13.2257 | + | 16.5845i | −1.18294 | + | 1.48337i | ||||
\(126\) | 0.249376 | + | 0.898197i | 0.0222162 | + | 0.0800178i | ||||
\(127\) | −8.49660 | − | 10.6544i | −0.753952 | − | 0.945426i | 0.245763 | − | 0.969330i | \(-0.420962\pi\) |
−0.999714 | + | 0.0239045i | \(0.992390\pi\) | |||||||
\(128\) | 3.19448 | + | 5.53301i | 0.282355 | + | 0.489053i | ||||
\(129\) | 1.55424 | − | 2.69203i | 0.136844 | − | 0.237020i | ||||
\(130\) | 2.32592 | − | 0.350576i | 0.203997 | − | 0.0307475i | ||||
\(131\) | −5.68259 | + | 5.27267i | −0.496490 | + | 0.460676i | −0.888229 | − | 0.459401i | \(-0.848064\pi\) |
0.391739 | + | 0.920076i | \(0.371874\pi\) | |||||||
\(132\) | 3.82031 | + | 1.83976i | 0.332515 | + | 0.160131i | ||||
\(133\) | 8.42065 | + | 2.17509i | 0.730163 | + | 0.188605i | ||||
\(134\) | −2.05130 | + | 0.987852i | −0.177205 | + | 0.0853374i | ||||
\(135\) | −4.12788 | + | 10.5177i | −0.355271 | + | 0.905216i | ||||
\(136\) | 0.163685 | − | 2.18422i | 0.0140358 | − | 0.187295i | ||||
\(137\) | −14.0404 | − | 4.33089i | −1.19955 | − | 0.370013i | −0.370314 | − | 0.928907i | \(-0.620750\pi\) |
−0.829240 | + | 0.558893i | \(0.811226\pi\) | |||||||
\(138\) | −0.0923896 | − | 1.23285i | −0.00786473 | − | 0.104947i | ||||
\(139\) | −1.13765 | + | 4.98438i | −0.0964944 | + | 0.422769i | −0.999983 | − | 0.00584274i | \(-0.998140\pi\) |
0.903489 | + | 0.428612i | \(0.140997\pi\) | |||||||
\(140\) | 20.1969 | + | 2.09134i | 1.70695 | + | 0.176750i | ||||
\(141\) | −2.59806 | − | 11.3828i | −0.218796 | − | 0.958608i | ||||
\(142\) | 1.64642 | − | 0.507853i | 0.138165 | − | 0.0426181i | ||||
\(143\) | −1.04013 | − | 2.65022i | −0.0869804 | − | 0.221622i | ||||
\(144\) | −4.56454 | − | 4.23527i | −0.380378 | − | 0.352939i | ||||
\(145\) | −15.3500 | − | 10.4654i | −1.27475 | − | 0.869108i | ||||
\(146\) | −2.70817 | −0.224130 | ||||||||
\(147\) | 10.0847 | − | 11.2698i | 0.831770 | − | 0.929516i | ||||
\(148\) | −5.46337 | −0.449087 | ||||||||
\(149\) | 16.7806 | + | 11.4408i | 1.37472 | + | 0.937269i | 0.999948 | + | 0.0101522i | \(0.00323161\pi\) |
0.374773 | + | 0.927117i | \(0.377721\pi\) | |||||||
\(150\) | 3.48161 | + | 3.23046i | 0.284272 | + | 0.263766i | ||||
\(151\) | 8.81103 | + | 22.4501i | 0.717032 | + | 1.82697i | 0.537607 | + | 0.843196i | \(0.319328\pi\) |
0.179425 | + | 0.983772i | \(0.442576\pi\) | |||||||
\(152\) | 2.62511 | − | 0.809739i | 0.212925 | − | 0.0656785i | ||||
\(153\) | 0.972508 | + | 4.26084i | 0.0786227 | + | 0.344468i | ||||
\(154\) | 0.0678505 | + | 0.556988i | 0.00546755 | + | 0.0448834i | ||||
\(155\) | 2.33120 | − | 10.2137i | 0.187247 | − | 0.820381i | ||||
\(156\) | 0.895439 | + | 11.9488i | 0.0716925 | + | 0.956670i | ||||
\(157\) | 17.7445 | + | 5.47347i | 1.41617 | + | 0.436830i | 0.906012 | − | 0.423251i | \(-0.139111\pi\) |
0.510157 | + | 0.860082i | \(0.329587\pi\) | |||||||
\(158\) | −0.0832639 | + | 1.11108i | −0.00662412 | + | 0.0883927i | ||||
\(159\) | 0.243272 | − | 0.619846i | 0.0192927 | − | 0.0491570i | ||||
\(160\) | 8.70051 | − | 4.18995i | 0.687836 | − | 0.331244i | ||||
\(161\) | −5.72688 | + | 4.30696i | −0.451341 | + | 0.339436i | ||||
\(162\) | 2.13626 | + | 1.02877i | 0.167840 | + | 0.0808275i | ||||
\(163\) | −7.02793 | + | 6.52096i | −0.550470 | + | 0.510761i | −0.905644 | − | 0.424039i | \(-0.860612\pi\) |
0.355174 | + | 0.934800i | \(0.384422\pi\) | |||||||
\(164\) | −7.34964 | + | 1.10778i | −0.573911 | + | 0.0865031i | ||||
\(165\) | 4.25557 | − | 7.37087i | 0.331296 | − | 0.573822i | ||||
\(166\) | −0.182275 | − | 0.315710i | −0.0141473 | − | 0.0245038i | ||||
\(167\) | −7.83406 | − | 9.82360i | −0.606218 | − | 0.760173i | 0.380115 | − | 0.924939i | \(-0.375884\pi\) |
−0.986333 | + | 0.164766i | \(0.947313\pi\) | |||||||
\(168\) | 0.845724 | − | 4.70152i | 0.0652490 | − | 0.362730i | ||||
\(169\) | −3.08920 | + | 3.87373i | −0.237631 | + | 0.297980i | ||||
\(170\) | −2.14919 | − | 0.323938i | −0.164835 | − | 0.0248449i | ||||
\(171\) | −4.52897 | + | 3.08780i | −0.346339 | + | 0.236130i | ||||
\(172\) | −2.32454 | + | 1.58485i | −0.177245 | + | 0.120843i | ||||
\(173\) | −8.23904 | − | 1.24184i | −0.626403 | − | 0.0944150i | −0.171833 | − | 0.985126i | \(-0.554969\pi\) |
−0.454570 | + | 0.890711i | \(0.650207\pi\) | |||||||
\(174\) | −1.34718 | + | 1.68931i | −0.102129 | + | 0.128066i | ||||
\(175\) | 4.87360 | − | 27.0932i | 0.368410 | − | 2.04805i | ||||
\(176\) | −2.33689 | − | 2.93037i | −0.176150 | − | 0.220885i | ||||
\(177\) | −8.68806 | − | 15.0482i | −0.653035 | − | 1.13109i | ||||
\(178\) | −1.42136 | + | 2.46187i | −0.106536 | + | 0.184525i | ||||
\(179\) | 9.80312 | − | 1.47758i | 0.732719 | − | 0.110440i | 0.227924 | − | 0.973679i | \(-0.426806\pi\) |
0.504795 | + | 0.863239i | \(0.331568\pi\) | |||||||
\(180\) | −9.38119 | + | 8.70447i | −0.699233 | + | 0.648793i | ||||
\(181\) | −2.86858 | − | 1.38144i | −0.213220 | − | 0.102681i | 0.324226 | − | 0.945980i | \(-0.394896\pi\) |
−0.537446 | + | 0.843298i | \(0.680611\pi\) | |||||||
\(182\) | −1.26723 | + | 0.953036i | −0.0939335 | + | 0.0706437i | ||||
\(183\) | 11.5534 | − | 5.56381i | 0.854049 | − | 0.411289i | ||||
\(184\) | −0.826930 | + | 2.10698i | −0.0609621 | + | 0.155329i | ||||
\(185\) | −0.819513 | + | 10.9356i | −0.0602518 | + | 0.804004i | ||||
\(186\) | −1.16430 | − | 0.359140i | −0.0853709 | − | 0.0263334i | ||||
\(187\) | 0.196592 | + | 2.62334i | 0.0143762 | + | 0.191838i | ||||
\(188\) | −2.35143 | + | 10.3023i | −0.171495 | + | 0.751371i | ||||
\(189\) | −0.921003 | − | 7.56055i | −0.0669931 | − | 0.549949i | ||||
\(190\) | −0.606589 | − | 2.65764i | −0.0440066 | − | 0.192805i | ||||
\(191\) | −11.3964 | + | 3.51532i | −0.824614 | + | 0.254360i | −0.678213 | − | 0.734866i | \(-0.737245\pi\) |
−0.146401 | + | 0.989225i | \(0.546769\pi\) | |||||||
\(192\) | 5.48438 | + | 13.9740i | 0.395801 | + | 1.00848i | ||||
\(193\) | −15.5700 | − | 14.4469i | −1.12076 | − | 1.03991i | −0.998878 | − | 0.0473646i | \(-0.984918\pi\) |
−0.121878 | − | 0.992545i | \(-0.538892\pi\) | |||||||
\(194\) | 1.27922 | + | 0.872156i | 0.0918424 | + | 0.0626171i | ||||
\(195\) | 24.0514 | 1.72235 | ||||||||
\(196\) | −12.6491 | + | 5.22963i | −0.903504 | + | 0.373545i | ||||
\(197\) | −10.7115 | −0.763163 | −0.381582 | − | 0.924335i | \(-0.624620\pi\) | ||||
−0.381582 | + | 0.924335i | \(0.624620\pi\) | |||||||
\(198\) | −0.292195 | − | 0.199215i | −0.0207654 | − | 0.0141576i | ||||
\(199\) | 4.42051 | + | 4.10164i | 0.313362 | + | 0.290757i | 0.821136 | − | 0.570733i | \(-0.193341\pi\) |
−0.507774 | + | 0.861491i | \(0.669531\pi\) | |||||||
\(200\) | −3.17677 | − | 8.09428i | −0.224632 | − | 0.572352i | ||||
\(201\) | −22.2459 | + | 6.86195i | −1.56910 | + | 0.484005i | ||||
\(202\) | −0.303699 | − | 1.33059i | −0.0213682 | − | 0.0936203i | ||||
\(203\) | 12.4569 | + | 1.28988i | 0.874303 | + | 0.0905319i | ||||
\(204\) | 2.46372 | − | 10.7943i | 0.172495 | − | 0.755749i | ||||
\(205\) | 1.11491 | + | 14.8774i | 0.0778685 | + | 1.03908i | ||||
\(206\) | 0.129486 | + | 0.0399411i | 0.00902172 | + | 0.00278283i | ||||
\(207\) | 0.337502 | − | 4.50365i | 0.0234580 | − | 0.313025i | ||||
\(208\) | 3.86955 | − | 9.85944i | 0.268305 | − | 0.683629i | ||||
\(209\) | −2.97270 | + | 1.43158i | −0.205626 | + | 0.0990244i | ||||
\(210\) | −4.58953 | − | 1.18550i | −0.316707 | − | 0.0818070i | ||||
\(211\) | −12.7149 | − | 6.12318i | −0.875331 | − | 0.421537i | −0.0584142 | − | 0.998292i | \(-0.518604\pi\) |
−0.816917 | + | 0.576755i | \(0.804319\pi\) | |||||||
\(212\) | −0.441785 | + | 0.409917i | −0.0303419 | + | 0.0281532i | ||||
\(213\) | 17.4207 | − | 2.62575i | 1.19365 | − | 0.179914i | ||||
\(214\) | 1.69031 | − | 2.92770i | 0.115547 | − | 0.200133i | ||||
\(215\) | 2.82359 | + | 4.89060i | 0.192567 | + | 0.333536i | ||||
\(216\) | −1.50001 | − | 1.88095i | −0.102063 | − | 0.127983i | ||||
\(217\) | 1.88925 | + | 6.80468i | 0.128251 | + | 0.461932i | ||||
\(218\) | −0.142511 | + | 0.178703i | −0.00965203 | + | 0.0121033i | ||||
\(219\) | −27.3821 | − | 4.12718i | −1.85031 | − | 0.278889i | ||||
\(220\) | −6.36468 | + | 4.33937i | −0.429107 | + | 0.292560i | ||||
\(221\) | −6.14225 | + | 4.18772i | −0.413173 | + | 0.281696i | ||||
\(222\) | 1.26118 | + | 0.190092i | 0.0846446 | + | 0.0127581i | ||||
\(223\) | 5.94103 | − | 7.44981i | 0.397840 | − | 0.498876i | −0.542053 | − | 0.840344i | \(-0.682353\pi\) |
0.939893 | + | 0.341468i | \(0.110924\pi\) | |||||||
\(224\) | −3.81817 | + | 5.27232i | −0.255112 | + | 0.352271i | ||||
\(225\) | 10.8175 | + | 13.5647i | 0.721167 | + | 0.904315i | ||||
\(226\) | 1.83068 | + | 3.17083i | 0.121775 | + | 0.210921i | ||||
\(227\) | 5.83962 | − | 10.1145i | 0.387589 | − | 0.671324i | −0.604536 | − | 0.796578i | \(-0.706641\pi\) |
0.992125 | + | 0.125254i | \(0.0399746\pi\) | |||||||
\(228\) | 13.7314 | − | 2.06967i | 0.909382 | − | 0.137067i | ||||
\(229\) | 14.6580 | − | 13.6007i | 0.968630 | − | 0.898757i | −0.0262669 | − | 0.999655i | \(-0.508362\pi\) |
0.994897 | + | 0.100898i | \(0.0321715\pi\) | |||||||
\(230\) | 2.02358 | + | 0.974503i | 0.133431 | + | 0.0642568i | ||||
\(231\) | −0.162804 | + | 5.73505i | −0.0107117 | + | 0.377338i | ||||
\(232\) | 3.56409 | − | 1.71637i | 0.233994 | − | 0.112685i | ||||
\(233\) | 7.03571 | − | 17.9267i | 0.460925 | − | 1.17442i | −0.491834 | − | 0.870689i | \(-0.663673\pi\) |
0.952759 | − | 0.303728i | \(-0.0982314\pi\) | |||||||
\(234\) | 0.0746817 | − | 0.996558i | 0.00488210 | − | 0.0651471i | ||||
\(235\) | 20.2686 | + | 6.25204i | 1.32218 | + | 0.407838i | ||||
\(236\) | 1.17525 | + | 15.6827i | 0.0765024 | + | 1.02085i | ||||
\(237\) | −2.53513 | + | 11.1071i | −0.164674 | + | 0.721484i | ||||
\(238\) | 1.37849 | − | 0.496355i | 0.0893542 | − | 0.0321739i | ||||
\(239\) | 4.92437 | + | 21.5751i | 0.318531 | + | 1.39558i | 0.840130 | + | 0.542385i | \(0.182479\pi\) |
−0.521599 | + | 0.853191i | \(0.674664\pi\) | |||||||
\(240\) | 30.2568 | − | 9.33298i | 1.95307 | − | 0.602441i | ||||
\(241\) | −9.80846 | − | 24.9916i | −0.631819 | − | 1.60985i | −0.783481 | − | 0.621415i | \(-0.786558\pi\) |
0.151663 | − | 0.988432i | \(-0.451537\pi\) | |||||||
\(242\) | 1.54769 | + | 1.43605i | 0.0994896 | + | 0.0923128i | ||||
\(243\) | 12.8961 | + | 8.79238i | 0.827282 | + | 0.564031i | ||||
\(244\) | −11.6060 | −0.742996 | ||||||||
\(245\) | 8.57040 | + | 26.1031i | 0.547543 | + | 1.66767i | ||||
\(246\) | 1.73515 | 0.110629 | ||||||||
\(247\) | −7.70370 | − | 5.25229i | −0.490175 | − | 0.334195i | ||||
\(248\) | 1.63523 | + | 1.51727i | 0.103837 | + | 0.0963471i | ||||
\(249\) | −1.36183 | − | 3.46989i | −0.0863026 | − | 0.219895i | ||||
\(250\) | −4.28282 | + | 1.32107i | −0.270869 | + | 0.0835520i | ||||
\(251\) | 4.35461 | + | 19.0788i | 0.274860 | + | 1.20424i | 0.904199 | + | 0.427111i | \(0.140469\pi\) |
−0.629339 | + | 0.777131i | \(0.716674\pi\) | |||||||
\(252\) | 2.77567 | − | 8.16801i | 0.174851 | − | 0.514536i | ||||
\(253\) | 0.604922 | − | 2.65034i | 0.0380311 | − | 0.166625i | ||||
\(254\) | −0.215173 | − | 2.87128i | −0.0135011 | − | 0.180160i | ||||
\(255\) | −21.2365 | − | 6.55060i | −1.32988 | − | 0.410214i | ||||
\(256\) | 0.937632 | − | 12.5118i | 0.0586020 | − | 0.781989i | ||||
\(257\) | 7.88814 | − | 20.0987i | 0.492049 | − | 1.25372i | −0.442142 | − | 0.896945i | \(-0.645781\pi\) |
0.934190 | − | 0.356775i | \(-0.116124\pi\) | |||||||
\(258\) | 0.591745 | − | 0.284970i | 0.0368405 | − | 0.0177414i | ||||
\(259\) | −3.01714 | − | 6.74863i | −0.187476 | − | 0.419339i | ||||
\(260\) | −19.6125 | − | 9.44487i | −1.21631 | − | 0.585746i | ||||
\(261\) | −5.78607 | + | 5.36868i | −0.358149 | + | 0.332313i | ||||
\(262\) | −1.61961 | + | 0.244116i | −0.100060 | + | 0.0150816i | ||||
\(263\) | −7.74899 | + | 13.4216i | −0.477823 | + | 0.827614i | −0.999677 | − | 0.0254211i | \(-0.991907\pi\) |
0.521854 | + | 0.853035i | \(0.325241\pi\) | |||||||
\(264\) | 0.906138 | + | 1.56948i | 0.0557689 | + | 0.0965946i | ||||
\(265\) | 0.754232 | + | 0.945777i | 0.0463321 | + | 0.0580986i | ||||
\(266\) | 1.21115 | + | 1.38197i | 0.0742602 | + | 0.0847339i | ||||
\(267\) | −18.1231 | + | 22.7256i | −1.10911 | + | 1.39078i | ||||
\(268\) | 20.8349 | + | 3.14035i | 1.27269 | + | 0.191828i | ||||
\(269\) | 18.4921 | − | 12.6077i | 1.12748 | − | 0.768705i | 0.151913 | − | 0.988394i | \(-0.451456\pi\) |
0.975570 | + | 0.219689i | \(0.0705041\pi\) | |||||||
\(270\) | −1.97247 | + | 1.34481i | −0.120041 | + | 0.0818422i | ||||
\(271\) | −1.17193 | − | 0.176640i | −0.0711896 | − | 0.0107301i | 0.113351 | − | 0.993555i | \(-0.463842\pi\) |
−0.184540 | + | 0.982825i | \(0.559080\pi\) | |||||||
\(272\) | −6.10197 | + | 7.65163i | −0.369986 | + | 0.463948i | ||||
\(273\) | −14.2653 | + | 7.70481i | −0.863372 | + | 0.466316i | ||||
\(274\) | −1.93562 | − | 2.42720i | −0.116935 | − | 0.146632i | ||||
\(275\) | 5.22174 | + | 9.04432i | 0.314883 | + | 0.545393i | ||||
\(276\) | −5.72068 | + | 9.90852i | −0.344345 | + | 0.596423i | ||||
\(277\) | −14.8646 | + | 2.24047i | −0.893124 | + | 0.134617i | −0.579540 | − | 0.814944i | \(-0.696768\pi\) |
−0.313584 | + | 0.949560i | \(0.601530\pi\) | |||||||
\(278\) | −0.791861 | + | 0.734740i | −0.0474927 | + | 0.0440668i | ||||
\(279\) | −4.01019 | − | 1.93121i | −0.240084 | − | 0.115618i | ||||
\(280\) | 6.62872 | + | 5.60120i | 0.396142 | + | 0.334736i | ||||
\(281\) | 6.73526 | − | 3.24353i | 0.401792 | − | 0.193493i | −0.222064 | − | 0.975032i | \(-0.571279\pi\) |
0.623856 | + | 0.781539i | \(0.285565\pi\) | |||||||
\(282\) | 0.901264 | − | 2.29638i | 0.0536695 | − | 0.136748i | ||||
\(283\) | 1.23187 | − | 16.4381i | 0.0732268 | − | 0.977144i | −0.832704 | − | 0.553718i | \(-0.813208\pi\) |
0.905931 | − | 0.423426i | \(-0.139173\pi\) | |||||||
\(284\) | −15.2367 | − | 4.69990i | −0.904132 | − | 0.278888i | ||||
\(285\) | −2.08299 | − | 27.7955i | −0.123385 | − | 1.64646i | ||||
\(286\) | 0.133856 | − | 0.586461i | 0.00791507 | − | 0.0346782i | ||||
\(287\) | −5.42722 | − | 8.46687i | −0.320359 | − | 0.499784i | ||||
\(288\) | −0.912961 | − | 3.99994i | −0.0537967 | − | 0.235699i | ||||
\(289\) | −9.68079 | + | 2.98613i | −0.569458 | + | 0.175655i | ||||
\(290\) | −1.43409 | − | 3.65400i | −0.0842127 | − | 0.214570i | ||||
\(291\) | 11.6049 | + | 10.7678i | 0.680291 | + | 0.631217i | ||||
\(292\) | 20.7077 | + | 14.1183i | 1.21183 | + | 0.826211i | ||||
\(293\) | −1.40384 | −0.0820130 | −0.0410065 | − | 0.999159i | \(-0.513056\pi\) | ||||
−0.0410065 | + | 0.999159i | \(0.513056\pi\) | |||||||
\(294\) | 3.10189 | − | 0.767109i | 0.180906 | − | 0.0447387i | ||||
\(295\) | 31.5671 | 1.83791 | ||||||||
\(296\) | −1.92931 | − | 1.31538i | −0.112139 | − | 0.0764550i | ||||
\(297\) | 2.11815 | + | 1.96536i | 0.122908 | + | 0.114042i | ||||
\(298\) | 1.56775 | + | 3.99456i | 0.0908172 | + | 0.231399i | ||||
\(299\) | 7.34081 | − | 2.26434i | 0.424530 | − | 0.130950i | ||||
\(300\) | −9.78061 | − | 42.8517i | −0.564684 | − | 2.47404i | ||||
\(301\) | −3.24141 | − | 1.99616i | −0.186832 | − | 0.115057i | ||||
\(302\) | −1.13390 | + | 4.96794i | −0.0652487 | + | 0.285873i | ||||
\(303\) | −1.04288 | − | 13.9163i | −0.0599121 | − | 0.799472i | ||||
\(304\) | −11.7294 | − | 3.61804i | −0.672728 | − | 0.207509i | ||||
\(305\) | −1.74091 | + | 23.2308i | −0.0996842 | + | 1.33019i | ||||
\(306\) | −0.337362 | + | 0.859585i | −0.0192857 | + | 0.0491392i | ||||
\(307\) | −22.8605 | + | 11.0090i | −1.30472 | + | 0.628319i | −0.951623 | − | 0.307269i | \(-0.900585\pi\) |
−0.353095 | + | 0.935588i | \(0.614871\pi\) | |||||||
\(308\) | 2.38489 | − | 4.61266i | 0.135891 | − | 0.262831i | ||||
\(309\) | 1.24835 | + | 0.601174i | 0.0710161 | + | 0.0341996i | ||||
\(310\) | 1.62263 | − | 1.50558i | 0.0921592 | − | 0.0855112i | ||||
\(311\) | −26.7010 | + | 4.02454i | −1.51408 | + | 0.228210i | −0.852922 | − | 0.522038i | \(-0.825172\pi\) |
−0.661156 | + | 0.750249i | \(0.729934\pi\) | |||||||
\(312\) | −2.56063 | + | 4.43513i | −0.144967 | + | 0.251090i | ||||
\(313\) | 11.6621 | + | 20.1994i | 0.659183 | + | 1.14174i | 0.980828 | + | 0.194878i | \(0.0624311\pi\) |
−0.321645 | + | 0.946860i | \(0.604236\pi\) | |||||||
\(314\) | 2.44628 | + | 3.06754i | 0.138052 | + | 0.173111i | ||||
\(315\) | −15.9330 | − | 6.78107i | −0.897720 | − | 0.382070i | ||||
\(316\) | 6.42896 | − | 8.06166i | 0.361657 | − | 0.453504i | ||||
\(317\) | 3.31764 | + | 0.500054i | 0.186337 | + | 0.0280858i | 0.241548 | − | 0.970389i | \(-0.422345\pi\) |
−0.0552105 | + | 0.998475i | \(0.517583\pi\) | |||||||
\(318\) | 0.116245 | − | 0.0792546i | 0.00651870 | − | 0.00444438i | ||||
\(319\) | −3.92556 | + | 2.67640i | −0.219789 | + | 0.149850i | ||||
\(320\) | −26.9670 | − | 4.06462i | −1.50750 | − | 0.227219i | ||||
\(321\) | 21.5522 | − | 27.0256i | 1.20293 | − | 1.50842i | ||||
\(322\) | −1.51240 | + | 0.0702556i | −0.0842825 | + | 0.00391519i | ||||
\(323\) | 5.37158 | + | 6.73575i | 0.298883 | + | 0.374787i | ||||
\(324\) | −10.9714 | − | 19.0031i | −0.609525 | − | 1.05573i | ||||
\(325\) | −14.7560 | + | 25.5581i | −0.818513 | + | 1.41771i | ||||
\(326\) | −2.00304 | + | 0.301910i | −0.110938 | + | 0.0167213i | ||||
\(327\) | −1.71325 | + | 1.58966i | −0.0947427 | + | 0.0879084i | ||||
\(328\) | −2.86213 | − | 1.37833i | −0.158035 | − | 0.0761055i | ||||
\(329\) | −14.0245 | + | 2.78483i | −0.773193 | + | 0.153532i | ||||
\(330\) | 1.62022 | − | 0.780256i | 0.0891901 | − | 0.0429517i | ||||
\(331\) | 0.861851 | − | 2.19596i | 0.0473716 | − | 0.120701i | −0.905230 | − | 0.424923i | \(-0.860301\pi\) |
0.952601 | + | 0.304222i | \(0.0983965\pi\) | |||||||
\(332\) | −0.252118 | + | 3.36428i | −0.0138368 | + | 0.184639i | ||||
\(333\) | 4.45216 | + | 1.37331i | 0.243977 | + | 0.0752568i | ||||
\(334\) | −0.198394 | − | 2.64739i | −0.0108556 | − | 0.144858i | ||||
\(335\) | 9.41107 | − | 41.2326i | 0.514182 | − | 2.25278i | ||||
\(336\) | −14.9560 | + | 15.2282i | −0.815915 | + | 0.830768i | ||||
\(337\) | 4.60331 | + | 20.1684i | 0.250759 | + | 1.09864i | 0.930817 | + | 0.365487i | \(0.119097\pi\) |
−0.680058 | + | 0.733158i | \(0.738045\pi\) | |||||||
\(338\) | −1.00036 | + | 0.308570i | −0.0544124 | + | 0.0167840i | ||||
\(339\) | 13.6776 | + | 34.8499i | 0.742863 | + | 1.89278i | ||||
\(340\) | 14.7447 | + | 13.6811i | 0.799646 | + | 0.741963i | ||||
\(341\) | −2.21365 | − | 1.50924i | −0.119876 | − | 0.0817300i | ||||
\(342\) | −1.15816 | −0.0626263 | ||||||||
\(343\) | −13.4453 | − | 12.7367i | −0.725980 | − | 0.687716i | ||||
\(344\) | −1.20245 | −0.0648318 | ||||||||
\(345\) | 18.9750 | + | 12.9370i | 1.02158 | + | 0.696503i | ||||
\(346\) | −1.29052 | − | 1.19743i | −0.0693788 | − | 0.0643742i | ||||
\(347\) | −2.86678 | − | 7.30445i | −0.153897 | − | 0.392123i | 0.833044 | − | 0.553207i | \(-0.186596\pi\) |
−0.986941 | + | 0.161084i | \(0.948501\pi\) | |||||||
\(348\) | 19.1078 | − | 5.89397i | 1.02428 | − | 0.315950i | ||||
\(349\) | 1.03182 | + | 4.52070i | 0.0552321 | + | 0.241988i | 0.995007 | − | 0.0998068i | \(-0.0318225\pi\) |
−0.939775 | + | 0.341794i | \(0.888965\pi\) | |||||||
\(350\) | 4.07552 | − | 4.14971i | 0.217846 | − | 0.221811i | ||||
\(351\) | −1.81696 | + | 7.96062i | −0.0969821 | + | 0.424906i | ||||
\(352\) | −0.184555 | − | 2.46271i | −0.00983679 | − | 0.131263i | ||||
\(353\) | 21.0311 | + | 6.48725i | 1.11937 | + | 0.345281i | 0.798593 | − | 0.601872i | \(-0.205578\pi\) |
0.320782 | + | 0.947153i | \(0.396054\pi\) | |||||||
\(354\) | 0.274362 | − | 3.66111i | 0.0145822 | − | 0.194586i | ||||
\(355\) | −11.6930 | + | 29.7932i | −0.620599 | + | 1.58126i | ||||
\(356\) | 23.7025 | − | 11.4145i | 1.25623 | − | 0.604969i | ||||
\(357\) | 14.6942 | − | 2.91781i | 0.777699 | − | 0.154427i | ||||
\(358\) | 1.88724 | + | 0.908848i | 0.0997439 | + | 0.0480341i | ||||
\(359\) | 14.2953 | − | 13.2641i | 0.754475 | − | 0.700051i | −0.205958 | − | 0.978561i | \(-0.566031\pi\) |
0.960433 | + | 0.278510i | \(0.0898405\pi\) | |||||||
\(360\) | −5.40855 | + | 0.815207i | −0.285055 | + | 0.0429652i | ||||
\(361\) | 4.09725 | − | 7.09665i | 0.215645 | − | 0.373508i | ||||
\(362\) | −0.336359 | − | 0.582591i | −0.0176786 | − | 0.0306203i | ||||
\(363\) | 13.4601 | + | 16.8784i | 0.706470 | + | 0.885886i | ||||
\(364\) | 14.6581 | − | 0.680917i | 0.768294 | − | 0.0356897i | ||||
\(365\) | 31.3657 | − | 39.3314i | 1.64176 | − | 2.05870i | ||||
\(366\) | 2.67915 | + | 0.403816i | 0.140041 | + | 0.0211078i | ||||
\(367\) | −0.0203035 | + | 0.0138427i | −0.00105983 | + | 0.000722581i | −0.563850 | − | 0.825877i | \(-0.690680\pi\) |
0.562790 | + | 0.826600i | \(0.309728\pi\) | |||||||
\(368\) | 8.35612 | − | 5.69710i | 0.435593 | − | 0.296982i | ||||
\(369\) | 6.26775 | + | 0.944712i | 0.326286 | + | 0.0491797i | ||||
\(370\) | −1.44466 | + | 1.81154i | −0.0751042 | + | 0.0941777i | ||||
\(371\) | −0.750325 | − | 0.319338i | −0.0389549 | − | 0.0165792i | ||||
\(372\) | 7.03044 | + | 8.81589i | 0.364511 | + | 0.457083i | ||||
\(373\) | 0.238382 | + | 0.412890i | 0.0123430 | + | 0.0213787i | 0.872131 | − | 0.489273i | \(-0.162738\pi\) |
−0.859788 | + | 0.510651i | \(0.829404\pi\) | |||||||
\(374\) | −0.277918 | + | 0.481368i | −0.0143708 | + | 0.0248909i | ||||
\(375\) | −45.3164 | + | 6.83034i | −2.34013 | + | 0.352717i | ||||
\(376\) | −3.31078 | + | 3.07196i | −0.170741 | + | 0.158424i | ||||
\(377\) | −12.0965 | − | 5.82535i | −0.622999 | − | 0.300021i | ||||
\(378\) | 0.739096 | − | 1.42950i | 0.0380150 | − | 0.0735256i | ||||
\(379\) | −0.852975 | + | 0.410771i | −0.0438144 | + | 0.0210999i | −0.455663 | − | 0.890153i | \(-0.650598\pi\) |
0.411848 | + | 0.911252i | \(0.364883\pi\) | |||||||
\(380\) | −9.21663 | + | 23.4836i | −0.472803 | + | 1.20468i | ||||
\(381\) | 2.20016 | − | 29.3591i | 0.112718 | − | 1.50411i | ||||
\(382\) | −2.40793 | − | 0.742747i | −0.123200 | − | 0.0380022i | ||||
\(383\) | −1.49520 | − | 19.9520i | −0.0764010 | − | 1.01950i | −0.895271 | − | 0.445522i | \(-0.853018\pi\) |
0.818870 | − | 0.573979i | \(-0.194601\pi\) | |||||||
\(384\) | −3.07146 | + | 13.4569i | −0.156740 | + | 0.686721i | ||||
\(385\) | −8.87509 | − | 5.46556i | −0.452317 | − | 0.278551i | ||||
\(386\) | −0.998623 | − | 4.37525i | −0.0508286 | − | 0.222695i | ||||
\(387\) | 2.29267 | − | 0.707195i | 0.116543 | − | 0.0359488i | ||||
\(388\) | −5.23465 | − | 13.3377i | −0.265749 | − | 0.677117i | ||||
\(389\) | 24.6995 | + | 22.9178i | 1.25231 | + | 1.16198i | 0.979834 | + | 0.199815i | \(0.0640341\pi\) |
0.272479 | + | 0.962162i | \(0.412156\pi\) | |||||||
\(390\) | 4.19876 | + | 2.86267i | 0.212613 | + | 0.144957i | ||||
\(391\) | −7.09838 | −0.358981 | ||||||||
\(392\) | −5.72593 | − | 1.19866i | −0.289203 | − | 0.0605417i | ||||
\(393\) | −16.7477 | −0.844809 | ||||||||
\(394\) | −1.86996 | − | 1.27492i | −0.0942071 | − | 0.0642293i | ||||
\(395\) | −15.1721 | − | 14.0776i | −0.763391 | − | 0.708323i | ||||
\(396\) | 1.19568 | + | 3.04655i | 0.0600853 | + | 0.153095i | ||||
\(397\) | 19.9945 | − | 6.16749i | 1.00350 | − | 0.309537i | 0.250895 | − | 0.968014i | \(-0.419275\pi\) |
0.752601 | + | 0.658477i | \(0.228799\pi\) | |||||||
\(398\) | 0.283521 | + | 1.24219i | 0.0142116 | + | 0.0622651i | ||||
\(399\) | 10.1397 | + | 15.8187i | 0.507620 | + | 0.791925i | ||||
\(400\) | −8.64544 | + | 37.8781i | −0.432272 | + | 1.89391i | ||||
\(401\) | 0.205900 | + | 2.74755i | 0.0102822 | + | 0.137206i | 0.999982 | − | 0.00595002i | \(-0.00189396\pi\) |
−0.989700 | + | 0.143156i | \(0.954275\pi\) | |||||||
\(402\) | −4.70030 | − | 1.44985i | −0.234430 | − | 0.0723120i | ||||
\(403\) | 0.565784 | − | 7.54986i | 0.0281837 | − | 0.376085i | ||||
\(404\) | −4.61447 | + | 11.7575i | −0.229579 | + | 0.584957i | ||||
\(405\) | −39.6829 | + | 19.1103i | −1.97186 | + | 0.949596i | ||||
\(406\) | 2.02113 | + | 1.70784i | 0.100307 | + | 0.0847586i | ||||
\(407\) | 2.52676 | + | 1.21682i | 0.125247 | + | 0.0603157i | ||||
\(408\) | 3.46889 | − | 3.21866i | 0.171736 | − | 0.159347i | ||||
\(409\) | 5.38083 | − | 0.811029i | 0.266065 | − | 0.0401028i | −0.0146549 | − | 0.999893i | \(-0.504665\pi\) |
0.280720 | + | 0.959790i | \(0.409427\pi\) | |||||||
\(410\) | −1.57612 | + | 2.72992i | −0.0778390 | + | 0.134821i | ||||
\(411\) | −15.8719 | − | 27.4910i | −0.782904 | − | 1.35603i | ||||
\(412\) | −0.781878 | − | 0.980443i | −0.0385203 | − | 0.0483030i | ||||
\(413\) | −18.7230 | + | 10.1125i | −0.921297 | + | 0.497602i | ||||
\(414\) | 0.594957 | − | 0.746052i | 0.0292405 | − | 0.0366665i | ||||
\(415\) | 6.69621 | + | 1.00929i | 0.328704 | + | 0.0495442i | ||||
\(416\) | 5.76616 | − | 3.93130i | 0.282709 | − | 0.192748i | ||||
\(417\) | −9.12614 | + | 6.22210i | −0.446909 | + | 0.304698i | ||||
\(418\) | −0.689350 | − | 0.103903i | −0.0337172 | − | 0.00508205i | ||||
\(419\) | −1.65182 | + | 2.07132i | −0.0806969 | + | 0.101191i | −0.820541 | − | 0.571588i | \(-0.806328\pi\) |
0.739844 | + | 0.672778i | \(0.234899\pi\) | |||||||
\(420\) | 28.9130 | + | 32.9909i | 1.41081 | + | 1.60979i | ||||
\(421\) | −12.9829 | − | 16.2800i | −0.632748 | − | 0.793440i | 0.357328 | − | 0.933979i | \(-0.383688\pi\) |
−0.990075 | + | 0.140539i | \(0.955117\pi\) | |||||||
\(422\) | −1.49090 | − | 2.58232i | −0.0725761 | − | 0.125705i | ||||
\(423\) | 4.50585 | − | 7.80436i | 0.219082 | − | 0.379461i | ||||
\(424\) | −0.254703 | + | 0.0383903i | −0.0123695 | + | 0.00186440i | ||||
\(425\) | 19.9899 | − | 18.5479i | 0.969654 | − | 0.899708i | ||||
\(426\) | 3.35374 | + | 1.61508i | 0.162489 | + | 0.0782508i | ||||
\(427\) | −6.40939 | − | 14.3363i | −0.310172 | − | 0.693781i | ||||
\(428\) | −28.1874 | + | 13.5744i | −1.36249 | + | 0.656141i | ||||
\(429\) | 2.24715 | − | 5.72565i | 0.108494 | − | 0.276437i | ||||
\(430\) | −0.0891667 | + | 1.18985i | −0.00430000 | + | 0.0573795i | ||||
\(431\) | 29.8977 | + | 9.22220i | 1.44012 | + | 0.444218i | 0.913833 | − | 0.406090i | \(-0.133108\pi\) |
0.526286 | + | 0.850308i | \(0.323584\pi\) | |||||||
\(432\) | 0.803320 | + | 10.7196i | 0.0386498 | + | 0.515745i | ||||
\(433\) | 1.87240 | − | 8.20354i | 0.0899820 | − | 0.394237i | −0.909802 | − | 0.415044i | \(-0.863766\pi\) |
0.999784 | + | 0.0208067i | \(0.00662345\pi\) | |||||||
\(434\) | −0.480098 | + | 1.41279i | −0.0230454 | + | 0.0678161i | ||||
\(435\) | −8.93134 | − | 39.1307i | −0.428225 | − | 1.87618i | ||||
\(436\) | 2.02130 | − | 0.623490i | 0.0968029 | − | 0.0298598i | ||||
\(437\) | −3.25259 | − | 8.28747i | −0.155593 | − | 0.396443i | ||||
\(438\) | −4.28899 | − | 3.97960i | −0.204936 | − | 0.190152i | ||||
\(439\) | −18.7619 | − | 12.7917i | −0.895459 | − | 0.610514i | 0.0257130 | − | 0.999669i | \(-0.491814\pi\) |
−0.921172 | + | 0.389156i | \(0.872767\pi\) | |||||||
\(440\) | −3.29235 | −0.156957 | ||||||||
\(441\) | 11.6224 | − | 1.08213i | 0.553447 | − | 0.0515300i | ||||
\(442\) | −1.57072 | −0.0747114 | ||||||||
\(443\) | −19.2557 | − | 13.1283i | −0.914866 | − | 0.623745i | 0.0116778 | − | 0.999932i | \(-0.496283\pi\) |
−0.926544 | + | 0.376187i | \(0.877235\pi\) | |||||||
\(444\) | −8.65244 | − | 8.02830i | −0.410627 | − | 0.381006i | ||||
\(445\) | −19.2922 | − | 49.1558i | −0.914540 | − | 2.33021i | ||||
\(446\) | 1.92385 | − | 0.593430i | 0.0910970 | − | 0.0280997i | ||||
\(447\) | 9.76374 | + | 42.7777i | 0.461809 | + | 2.02332i | ||||
\(448\) | 17.2967 | − | 6.22804i | 0.817191 | − | 0.294247i | ||||
\(449\) | −0.955532 | + | 4.18646i | −0.0450943 | + | 0.197571i | −0.992457 | − | 0.122590i | \(-0.960880\pi\) |
0.947363 | + | 0.320161i | \(0.103737\pi\) | |||||||
\(450\) | 0.273948 | + | 3.65559i | 0.0129141 | + | 0.172326i | ||||
\(451\) | 3.64587 | + | 1.12460i | 0.171677 | + | 0.0529555i | ||||
\(452\) | 2.53215 | − | 33.7891i | 0.119102 | − | 1.58931i | ||||
\(453\) | −19.0358 | + | 48.5023i | −0.894378 | + | 2.27884i | ||||
\(454\) | 2.22331 | − | 1.07069i | 0.104345 | − | 0.0502499i | ||||
\(455\) | 0.835795 | − | 29.4422i | 0.0391827 | − | 1.38027i | ||||
\(456\) | 5.34733 | + | 2.57514i | 0.250412 | + | 0.120592i | ||||
\(457\) | −9.04121 | + | 8.38902i | −0.422930 | + | 0.392422i | −0.862723 | − | 0.505678i | \(-0.831243\pi\) |
0.439792 | + | 0.898100i | \(0.355052\pi\) | |||||||
\(458\) | 4.17771 | − | 0.629689i | 0.195212 | − | 0.0294234i | ||||
\(459\) | 3.77245 | − | 6.53408i | 0.176083 | − | 0.304985i | ||||
\(460\) | −10.3927 | − | 18.0008i | −0.484564 | − | 0.839290i | ||||
\(461\) | 12.1247 | + | 15.2039i | 0.564704 | + | 0.708117i | 0.979420 | − | 0.201834i | \(-0.0646903\pi\) |
−0.414715 | + | 0.909951i | \(0.636119\pi\) | |||||||
\(462\) | −0.711024 | + | 0.981817i | −0.0330798 | + | 0.0456782i | ||||
\(463\) | −5.63134 | + | 7.06148i | −0.261711 | + | 0.328175i | −0.895274 | − | 0.445516i | \(-0.853020\pi\) |
0.633563 | + | 0.773691i | \(0.281592\pi\) | |||||||
\(464\) | −17.4779 | − | 2.63437i | −0.811391 | − | 0.122297i | ||||
\(465\) | 18.7007 | − | 12.7499i | 0.867224 | − | 0.591263i | ||||
\(466\) | 3.36195 | − | 2.29214i | 0.155739 | − | 0.106181i | ||||
\(467\) | 9.49498 | + | 1.43114i | 0.439375 | + | 0.0662251i | 0.365005 | − | 0.931006i | \(-0.381067\pi\) |
0.0743701 | + | 0.997231i | \(0.476305\pi\) | |||||||
\(468\) | −5.76632 | + | 7.23073i | −0.266548 | + | 0.334241i | ||||
\(469\) | 7.62693 | + | 27.4705i | 0.352179 | + | 1.26847i | ||||
\(470\) | 2.79425 | + | 3.50388i | 0.128889 | + | 0.161622i | ||||
\(471\) | 20.0592 | + | 34.7436i | 0.924281 | + | 1.60090i | ||||
\(472\) | −3.36079 | + | 5.82105i | −0.154693 | + | 0.267936i | ||||
\(473\) | 1.42806 | − | 0.215246i | 0.0656625 | − | 0.00989702i | ||||
\(474\) | −1.76457 | + | 1.63728i | −0.0810494 | + | 0.0752029i | ||||
\(475\) | 30.8147 | + | 14.8396i | 1.41388 | + | 0.680887i | ||||
\(476\) | −13.1281 | − | 3.39104i | −0.601723 | − | 0.155428i | ||||
\(477\) | 0.463054 | − | 0.222995i | 0.0212018 | − | 0.0102102i | ||||
\(478\) | −1.70826 | + | 4.35258i | −0.0781340 | + | 0.199082i | ||||
\(479\) | −2.37027 | + | 31.6291i | −0.108301 | + | 1.44517i | 0.633080 | + | 0.774086i | \(0.281790\pi\) |
−0.741381 | + | 0.671084i | \(0.765829\pi\) | |||||||
\(480\) | 19.9362 | + | 6.14950i | 0.909958 | + | 0.280685i | ||||
\(481\) | 0.592245 | + | 7.90297i | 0.0270041 | + | 0.360344i | ||||
\(482\) | 1.26226 | − | 5.53033i | 0.0574944 | − | 0.251899i | ||||
\(483\) | −15.3987 | − | 1.59450i | −0.700667 | − | 0.0725523i | ||||
\(484\) | −4.34782 | − | 19.0491i | −0.197628 | − | 0.865866i | ||||
\(485\) | −27.4822 | + | 8.47715i | −1.24790 | + | 0.384928i | ||||
\(486\) | 1.20483 | + | 3.06985i | 0.0546522 | + | 0.139251i | ||||
\(487\) | 10.5067 | + | 9.74877i | 0.476103 | + | 0.441759i | 0.881361 | − | 0.472443i | \(-0.156628\pi\) |
−0.405258 | + | 0.914202i | \(0.632818\pi\) | |||||||
\(488\) | −4.09848 | − | 2.79429i | −0.185529 | − | 0.126492i | ||||
\(489\) | −20.7127 | −0.936659 | ||||||||
\(490\) | −1.61070 | + | 5.57702i | −0.0727640 | + | 0.251944i | ||||
\(491\) | −16.2902 | −0.735167 | −0.367584 | − | 0.929990i | \(-0.619815\pi\) | ||||
−0.367584 | + | 0.929990i | \(0.619815\pi\) | |||||||
\(492\) | −13.2676 | − | 9.04571i | −0.598150 | − | 0.407812i | ||||
\(493\) | 9.09416 | + | 8.43814i | 0.409580 | + | 0.380035i | ||||
\(494\) | −0.719727 | − | 1.83383i | −0.0323821 | − | 0.0825081i | ||||
\(495\) | 6.27741 | − | 1.93632i | 0.282149 | − | 0.0870313i | ||||
\(496\) | −2.21791 | − | 9.71731i | −0.0995873 | − | 0.436320i | ||||
\(497\) | −2.60891 | − | 21.4166i | −0.117026 | − | 0.960668i | ||||
\(498\) | 0.175255 | − | 0.767844i | 0.00785338 | − | 0.0344079i | ||||
\(499\) | −2.20201 | − | 29.3838i | −0.0985756 | − | 1.31540i | −0.798852 | − | 0.601528i | \(-0.794559\pi\) |
0.700276 | − | 0.713872i | \(-0.253060\pi\) | |||||||
\(500\) | 39.6351 | + | 12.2258i | 1.77253 | + | 0.546755i | ||||
\(501\) | 2.02860 | − | 27.0698i | 0.0906311 | − | 1.20939i | ||||
\(502\) | −1.51061 | + | 3.84897i | −0.0674218 | + | 0.171788i | ||||
\(503\) | 24.6293 | − | 11.8608i | 1.09816 | − | 0.528848i | 0.205084 | − | 0.978744i | \(-0.434253\pi\) |
0.893081 | + | 0.449896i | \(0.148539\pi\) | |||||||
\(504\) | 2.94674 | − | 2.21613i | 0.131258 | − | 0.0987143i | ||||
\(505\) | 22.8419 | + | 11.0001i | 1.01645 | + | 0.489498i | ||||
\(506\) | 0.421055 | − | 0.390682i | 0.0187182 | − | 0.0173679i | ||||
\(507\) | −10.5848 | + | 1.59540i | −0.470087 | + | 0.0708542i | ||||
\(508\) | −13.3233 | + | 23.0767i | −0.591126 | + | 1.02386i | ||||
\(509\) | 0.145121 | + | 0.251358i | 0.00643240 | + | 0.0111412i | 0.869224 | − | 0.494419i | \(-0.164619\pi\) |
−0.862791 | + | 0.505560i | \(0.831286\pi\) | |||||||
\(510\) | −2.92769 | − | 3.67120i | −0.129640 | − | 0.162564i | ||||
\(511\) | −6.00378 | + | 33.3760i | −0.265592 | + | 1.47647i | ||||
\(512\) | 9.61979 | − | 12.0628i | 0.425139 | − | 0.533107i | ||||
\(513\) | 9.35723 | + | 1.41038i | 0.413132 | + | 0.0622696i | ||||
\(514\) | 3.76927 | − | 2.56985i | 0.166256 | − | 0.113351i | ||||
\(515\) | −2.07976 | + | 1.41796i | −0.0916454 | + | 0.0624828i | ||||
\(516\) | −6.01032 | − | 0.905910i | −0.264590 | − | 0.0398805i | ||||
\(517\) | 3.38208 | − | 4.24099i | 0.148744 | − | 0.186519i | ||||
\(518\) | 0.276525 | − | 1.53725i | 0.0121498 | − | 0.0675429i | ||||
\(519\) | −11.2235 | − | 14.0738i | −0.492656 | − | 0.617771i | ||||
\(520\) | −4.65188 | − | 8.05729i | −0.203998 | − | 0.353335i | ||||
\(521\) | −1.45957 | + | 2.52806i | −0.0639451 | + | 0.110756i | −0.896226 | − | 0.443599i | \(-0.853702\pi\) |
0.832280 | + | 0.554355i | \(0.187035\pi\) | |||||||
\(522\) | −1.64910 | + | 0.248562i | −0.0721791 | + | 0.0108792i | ||||
\(523\) | −3.57073 | + | 3.31315i | −0.156137 | + | 0.144874i | −0.754373 | − | 0.656446i | \(-0.772059\pi\) |
0.598236 | + | 0.801320i | \(0.295869\pi\) | |||||||
\(524\) | 13.6568 | + | 6.57675i | 0.596598 | + | 0.287306i | ||||
\(525\) | 47.5312 | − | 35.7463i | 2.07443 | − | 1.56010i | ||||
\(526\) | −2.95026 | + | 1.42077i | −0.128638 | + | 0.0619486i | ||||
\(527\) | −2.55584 | + | 6.51216i | −0.111334 | + | 0.283674i | ||||
\(528\) | 0.605130 | − | 8.07490i | 0.0263349 | − | 0.351415i | ||||
\(529\) | −14.9688 | − | 4.61725i | −0.650816 | − | 0.200750i | ||||
\(530\) | 0.0191006 | + | 0.254880i | 0.000829677 | + | 0.0110713i | ||||
\(531\) | 2.98437 | − | 13.0754i | 0.129510 | − | 0.567423i | ||||
\(532\) | −2.05639 | − | 16.8810i | −0.0891560 | − | 0.731885i | ||||
\(533\) | 2.39917 | + | 10.5114i | 0.103919 | + | 0.455301i | ||||
\(534\) | −5.86870 | + | 1.81025i | −0.253963 | + | 0.0783373i | ||||
\(535\) | 22.9426 | + | 58.4569i | 0.991897 | + | 2.52731i | ||||
\(536\) | 6.60144 | + | 6.12525i | 0.285139 | + | 0.264570i | ||||
\(537\) | 17.6966 | + | 12.0654i | 0.763667 | + | 0.520659i | ||||
\(538\) | 4.72886 | 0.203876 | ||||||||
\(539\) | 7.01484 | + | 0.398590i | 0.302151 | + | 0.0171685i | ||||
\(540\) | 22.0930 | 0.950731 | ||||||||
\(541\) | 8.12367 | + | 5.53863i | 0.349264 | + | 0.238124i | 0.725226 | − | 0.688511i | \(-0.241735\pi\) |
−0.375962 | + | 0.926635i | \(0.622688\pi\) | |||||||
\(542\) | −0.183565 | − | 0.170323i | −0.00788479 | − | 0.00731601i | ||||
\(543\) | −2.51304 | − | 6.40312i | −0.107845 | − | 0.274784i | ||||
\(544\) | −6.16204 | + | 1.90074i | −0.264195 | + | 0.0814934i | ||||
\(545\) | −0.944796 | − | 4.13942i | −0.0404706 | − | 0.177313i | ||||
\(546\) | −3.40740 | − | 0.352828i | −0.145823 | − | 0.0150996i | ||||
\(547\) | 5.22233 | − | 22.8805i | 0.223291 | − | 0.978301i | −0.731691 | − | 0.681637i | \(-0.761269\pi\) |
0.954982 | − | 0.296665i | \(-0.0958743\pi\) | |||||||
\(548\) | 2.14703 | + | 28.6501i | 0.0917165 | + | 1.22387i | ||||
\(549\) | 9.45782 | + | 2.91735i | 0.403650 | + | 0.124510i | ||||
\(550\) | −0.164899 | + | 2.20042i | −0.00703130 | + | 0.0938261i | ||||
\(551\) | −5.68457 | + | 14.4841i | −0.242171 | + | 0.617041i | ||||
\(552\) | −4.40578 | + | 2.12171i | −0.187523 | + | 0.0903061i | ||||
\(553\) | 13.5086 | + | 3.48932i | 0.574442 | + | 0.148381i | ||||
\(554\) | −2.86164 | − | 1.37809i | −0.121580 | − | 0.0585496i | ||||
\(555\) | −17.3675 | + | 16.1147i | −0.737211 | + | 0.684032i | ||||
\(556\) | 9.88523 | − | 1.48996i | 0.419227 | − | 0.0631883i | ||||
\(557\) | 15.8674 | − | 27.4831i | 0.672323 | − | 1.16450i | −0.304921 | − | 0.952378i | \(-0.598630\pi\) |
0.977244 | − | 0.212120i | \(-0.0680367\pi\) | |||||||
\(558\) | −0.470220 | − | 0.814445i | −0.0199060 | − | 0.0344782i | ||||
\(559\) | 2.54453 | + | 3.19073i | 0.107622 | + | 0.134954i | ||||
\(560\) | −10.3734 | − | 37.3628i | −0.438357 | − | 1.57887i | ||||
\(561\) | −3.54359 | + | 4.44352i | −0.149610 | + | 0.187605i | ||||
\(562\) | 1.56186 | + | 0.235413i | 0.0658831 | + | 0.00993028i | ||||
\(563\) | −30.0434 | + | 20.4833i | −1.26618 | + | 0.863267i | −0.995060 | − | 0.0992784i | \(-0.968347\pi\) |
−0.271121 | + | 0.962545i | \(0.587394\pi\) | |||||||
\(564\) | −18.8629 | + | 12.8605i | −0.794273 | + | 0.541526i | ||||
\(565\) | −67.2534 | − | 10.1368i | −2.82937 | − | 0.426459i | ||||
\(566\) | 2.17157 | − | 2.72306i | 0.0912777 | − | 0.114459i | ||||
\(567\) | 17.4146 | − | 24.0469i | 0.731344 | − | 1.00988i | ||||
\(568\) | −4.24905 | − | 5.32814i | −0.178286 | − | 0.223564i | ||||
\(569\) | 4.48113 | + | 7.76155i | 0.187859 | + | 0.325381i | 0.944536 | − | 0.328408i | \(-0.106512\pi\) |
−0.756677 | + | 0.653789i | \(0.773179\pi\) | |||||||
\(570\) | 2.94467 | − | 5.10032i | 0.123339 | − | 0.213629i | ||||
\(571\) | −6.06485 | + | 0.914130i | −0.253806 | + | 0.0382551i | −0.274713 | − | 0.961526i | \(-0.588583\pi\) |
0.0209067 | + | 0.999781i | \(0.493345\pi\) | |||||||
\(572\) | −4.08086 | + | 3.78649i | −0.170629 | + | 0.158321i | ||||
\(573\) | −23.2144 | − | 11.1794i | −0.969794 | − | 0.467028i | ||||
\(574\) | 0.0602971 | − | 2.12407i | 0.00251675 | − | 0.0886568i | ||||
\(575\) | −25.3889 | + | 12.2267i | −1.05879 | + | 0.509887i | ||||
\(576\) | −4.23307 | + | 10.7857i | −0.176378 | + | 0.449404i | ||||
\(577\) | 1.85625 | − | 24.7699i | 0.0772765 | − | 1.03118i | −0.814931 | − | 0.579558i | \(-0.803225\pi\) |
0.892208 | − | 0.451625i | \(-0.149156\pi\) | |||||||
\(578\) | −2.04544 | − | 0.630934i | −0.0850790 | − | 0.0262434i | ||||
\(579\) | −3.42921 | − | 45.7596i | −0.142513 | − | 1.90170i | ||||
\(580\) | −8.08350 | + | 35.4161i | −0.335649 | + | 1.47057i | ||||
\(581\) | −4.29495 | + | 1.54649i | −0.178185 | + | 0.0641593i | ||||
\(582\) | 0.744308 | + | 3.26103i | 0.0308526 | + | 0.135174i | ||||
\(583\) | 0.295620 | − | 0.0911866i | 0.0122433 | − | 0.00377656i | ||||
\(584\) | 3.91346 | + | 9.97133i | 0.161940 | + | 0.412617i | ||||
\(585\) | 13.6083 | + | 12.6266i | 0.562633 | + | 0.522047i | ||||
\(586\) | −0.245074 | − | 0.167089i | −0.0101239 | − | 0.00690238i | ||||
\(587\) | −20.6633 | −0.852865 | −0.426432 | − | 0.904519i | \(-0.640230\pi\) | ||||
−0.426432 | + | 0.904519i | \(0.640230\pi\) | |||||||
\(588\) | −27.7174 | − | 10.3052i | −1.14304 | − | 0.424980i | ||||
\(589\) | −8.77417 | −0.361533 | ||||||||
\(590\) | 5.51082 | + | 3.75721i | 0.226877 | + | 0.154682i | ||||
\(591\) | −16.9640 | − | 15.7403i | −0.697806 | − | 0.647469i | ||||
\(592\) | 3.81174 | + | 9.71216i | 0.156662 | + | 0.399167i | ||||
\(593\) | 0.785503 | − | 0.242296i | 0.0322567 | − | 0.00994989i | −0.278585 | − | 0.960412i | \(-0.589865\pi\) |
0.310842 | + | 0.950462i | \(0.399389\pi\) | |||||||
\(594\) | 0.135853 | + | 0.595211i | 0.00557412 | + | 0.0244218i | ||||
\(595\) | −8.75682 | + | 25.7688i | −0.358995 | + | 1.05642i | ||||
\(596\) | 8.83688 | − | 38.7169i | 0.361973 | − | 1.58591i | ||||
\(597\) | 0.973592 | + | 12.9917i | 0.0398465 | + | 0.531714i | ||||
\(598\) | 1.55103 | + | 0.478429i | 0.0634262 | + | 0.0195644i | ||||
\(599\) | 0.316734 | − | 4.22652i | 0.0129414 | − | 0.172691i | −0.986988 | − | 0.160795i | \(-0.948594\pi\) |
0.999929 | − | 0.0118960i | \(-0.00378670\pi\) | |||||||
\(600\) | 6.86324 | − | 17.4872i | 0.280190 | − | 0.713914i | ||||
\(601\) | 8.01866 | − | 3.86158i | 0.327088 | − | 0.157517i | −0.263132 | − | 0.964760i | \(-0.584755\pi\) |
0.590220 | + | 0.807243i | \(0.299041\pi\) | |||||||
\(602\) | −0.328279 | − | 0.734282i | −0.0133797 | − | 0.0299271i | ||||
\(603\) | −16.1892 | − | 7.79629i | −0.659274 | − | 0.317489i | ||||
\(604\) | 34.5692 | − | 32.0755i | 1.40660 | − | 1.30513i | ||||
\(605\) | −38.7813 | + | 5.84534i | −1.57668 | + | 0.237647i | ||||
\(606\) | 1.47430 | − | 2.55357i | 0.0598894 | − | 0.103732i | ||||
\(607\) | 11.9075 | + | 20.6245i | 0.483312 | + | 0.837121i | 0.999816 | − | 0.0191636i | \(-0.00610035\pi\) |
−0.516504 | + | 0.856285i | \(0.672767\pi\) | |||||||
\(608\) | −5.04268 | − | 6.32332i | −0.204508 | − | 0.256444i | ||||
\(609\) | 17.8328 | + | 20.3479i | 0.722621 | + | 0.824540i | ||||
\(610\) | −3.06892 | + | 3.84831i | −0.124257 | + | 0.155813i | ||||
\(611\) | 15.1575 | + | 2.28463i | 0.613207 | + | 0.0924261i | ||||
\(612\) | 7.06080 | − | 4.81398i | 0.285416 | − | 0.194593i | ||||
\(613\) | −22.4013 | + | 15.2730i | −0.904782 | + | 0.616870i | −0.923769 | − | 0.382950i | \(-0.874908\pi\) |
0.0189873 | + | 0.999820i | \(0.493956\pi\) | |||||||
\(614\) | −5.30119 | − | 0.799026i | −0.213939 | − | 0.0322461i | ||||
\(615\) | −20.0963 | + | 25.2000i | −0.810361 | + | 1.01616i | ||||
\(616\) | 1.95275 | − | 1.05470i | 0.0786784 | − | 0.0424950i | ||||
\(617\) | 10.8511 | + | 13.6069i | 0.436849 | + | 0.547792i | 0.950710 | − | 0.310082i | \(-0.100357\pi\) |
−0.513861 | + | 0.857874i | \(0.671785\pi\) | |||||||
\(618\) | 0.146377 | + | 0.253532i | 0.00588814 | + | 0.0101986i | ||||
\(619\) | 15.3755 | − | 26.6311i | 0.617992 | − | 1.07039i | −0.371860 | − | 0.928289i | \(-0.621280\pi\) |
0.989852 | − | 0.142105i | \(-0.0453869\pi\) | |||||||
\(620\) | −20.2562 | + | 3.05312i | −0.813507 | + | 0.122616i | ||||
\(621\) | −5.71540 | + | 5.30311i | −0.229351 | + | 0.212807i | ||||
\(622\) | −5.14034 | − | 2.47546i | −0.206109 | − | 0.0992568i | ||||
\(623\) | 27.1895 | + | 22.9749i | 1.08932 | + | 0.920469i | ||||
\(624\) | 20.6165 | − | 9.92837i | 0.825320 | − | 0.397453i | ||||
\(625\) | 11.4107 | − | 29.0739i | 0.456426 | − | 1.16296i | ||||
\(626\) | −0.368281 | + | 4.91437i | −0.0147195 | + | 0.196418i | ||||
\(627\) | −6.81160 | − | 2.10110i | −0.272029 | − | 0.0839098i | ||||
\(628\) | −2.71346 | − | 36.2085i | −0.108279 | − | 1.44488i | ||||
\(629\) | 1.62951 | − | 7.13934i | 0.0649727 | − | 0.284664i | ||||
\(630\) | −1.97439 | − | 3.08019i | −0.0786614 | − | 0.122718i | ||||
\(631\) | 1.40166 | + | 6.14107i | 0.0557992 | + | 0.244472i | 0.995134 | − | 0.0985290i | \(-0.0314137\pi\) |
−0.939335 | + | 0.343001i | \(0.888557\pi\) | |||||||
\(632\) | 4.21125 | − | 1.29900i | 0.167514 | − | 0.0516713i | ||||
\(633\) | −11.1390 | − | 28.3817i | −0.442735 | − | 1.12807i | ||||
\(634\) | 0.519659 | + | 0.482173i | 0.0206383 | + | 0.0191495i | ||||
\(635\) | 44.1923 | + | 30.1298i | 1.75372 | + | 1.19567i | ||||
\(636\) | −1.30203 | −0.0516287 | ||||||||
\(637\) | 8.93604 | + | 17.7304i | 0.354059 | + | 0.702504i | ||||
\(638\) | −1.00386 | −0.0397431 | ||||||||
\(639\) | 11.2351 | + | 7.65999i | 0.444455 | + | 0.303024i | ||||
\(640\) | −18.3819 | − | 17.0559i | −0.726609 | − | 0.674194i | ||||
\(641\) | 13.9721 | + | 35.6004i | 0.551867 | + | 1.40613i | 0.886034 | + | 0.463619i | \(0.153450\pi\) |
−0.334168 | + | 0.942514i | \(0.608455\pi\) | |||||||
\(642\) | 6.97915 | − | 2.15278i | 0.275445 | − | 0.0849635i | ||||
\(643\) | −3.92640 | − | 17.2027i | −0.154842 | − | 0.678407i | −0.991437 | − | 0.130585i | \(-0.958314\pi\) |
0.836595 | − | 0.547822i | \(-0.184543\pi\) | |||||||
\(644\) | 11.9306 | + | 7.34724i | 0.470132 | + | 0.289522i | ||||
\(645\) | −2.71485 | + | 11.8945i | −0.106897 | + | 0.468347i | ||||
\(646\) | 0.136033 | + | 1.81523i | 0.00535215 | + | 0.0714194i | ||||
\(647\) | 22.0123 | + | 6.78990i | 0.865394 | + | 0.266939i | 0.695502 | − | 0.718524i | \(-0.255182\pi\) |
0.169892 | + | 0.985463i | \(0.445658\pi\) | |||||||
\(648\) | 0.700849 | − | 9.35219i | 0.0275320 | − | 0.367389i | ||||
\(649\) | 2.94936 | − | 7.51485i | 0.115772 | − | 0.294983i | ||||
\(650\) | −5.61801 | + | 2.70549i | −0.220357 | + | 0.106118i | ||||
\(651\) | −7.00727 | + | 13.5529i | −0.274636 | + | 0.531180i | ||||
\(652\) | 16.8900 | + | 8.13377i | 0.661462 | + | 0.318543i | ||||
\(653\) | −19.6592 | + | 18.2410i | −0.769323 | + | 0.713827i | −0.963667 | − | 0.267106i | \(-0.913933\pi\) |
0.194344 | + | 0.980933i | \(0.437742\pi\) | |||||||
\(654\) | −0.488296 | + | 0.0735987i | −0.0190939 | + | 0.00287794i | ||||
\(655\) | 15.2127 | − | 26.3492i | 0.594410 | − | 1.02955i | ||||
\(656\) | 7.09706 | + | 12.2925i | 0.277093 | + | 0.479940i | ||||
\(657\) | −13.3261 | − | 16.7104i | −0.519899 | − | 0.651933i | ||||
\(658\) | −2.77977 | − | 1.18307i | −0.108367 | − | 0.0461210i | ||||
\(659\) | −26.6962 | + | 33.4759i | −1.03994 | + | 1.30404i | −0.0885378 | + | 0.996073i | \(0.528219\pi\) |
−0.951398 | + | 0.307965i | \(0.900352\pi\) | |||||||
\(660\) | −16.4565 | − | 2.48041i | −0.640567 | − | 0.0965499i | ||||
\(661\) | 18.0987 | − | 12.3395i | 0.703960 | − | 0.479951i | −0.157668 | − | 0.987492i | \(-0.550398\pi\) |
0.861628 | + | 0.507541i | \(0.169445\pi\) | |||||||
\(662\) | 0.411827 | − | 0.280779i | 0.0160061 | − | 0.0109128i | ||||
\(663\) | −15.8813 | − | 2.39373i | −0.616780 | − | 0.0929647i | ||||
\(664\) | −0.899026 | + | 1.12734i | −0.0348890 | + | 0.0437494i | ||||
\(665\) | −34.0980 | + | 1.58396i | −1.32226 | + | 0.0614233i | ||||
\(666\) | 0.613778 | + | 0.769654i | 0.0237834 | + | 0.0298235i | ||||
\(667\) | −6.40997 | − | 11.1024i | −0.248195 | − | 0.429886i | ||||
\(668\) | −12.2844 | + | 21.2772i | −0.475297 | + | 0.823239i | ||||
\(669\) | 20.3562 | − | 3.06821i | 0.787017 | − | 0.118624i | ||||
\(670\) | 6.55056 | − | 6.07803i | 0.253070 | − | 0.234815i | ||||
\(671\) | 5.36766 | + | 2.58493i | 0.207216 | + | 0.0997901i | ||||
\(672\) | −13.7944 | + | 2.73915i | −0.532132 | + | 0.105665i | ||||
\(673\) | 5.71038 | − | 2.74998i | 0.220119 | − | 0.106004i | −0.320575 | − | 0.947223i | \(-0.603876\pi\) |
0.540694 | + | 0.841219i | \(0.318162\pi\) | |||||||
\(674\) | −1.59689 | + | 4.06880i | −0.0615098 | + | 0.156724i | ||||
\(675\) | 2.23833 | − | 29.8685i | 0.0861534 | − | 1.14964i | ||||
\(676\) | 9.25777 | + | 2.85564i | 0.356068 | + | 0.109832i | ||||
\(677\) | 0.467260 | + | 6.23515i | 0.0179582 | + | 0.239636i | 0.998958 | + | 0.0456294i | \(0.0145293\pi\) |
−0.981000 | + | 0.194007i | \(0.937852\pi\) | |||||||
\(678\) | −1.76018 | + | 7.71185i | −0.0675993 | + | 0.296172i | ||||
\(679\) | 13.5845 | − | 13.8318i | 0.521326 | − | 0.530816i | ||||
\(680\) | 1.91297 | + | 8.38128i | 0.0733591 | + | 0.321407i | ||||
\(681\) | 24.1113 | − | 7.43736i | 0.923949 | − | 0.285000i | ||||
\(682\) | −0.206813 | − | 0.526950i | −0.00791927 | − | 0.0201780i | ||||
\(683\) | −16.7831 | − | 15.5724i | −0.642186 | − | 0.595862i | 0.290358 | − | 0.956918i | \(-0.406226\pi\) |
−0.932544 | + | 0.361056i | \(0.882416\pi\) | |||||||
\(684\) | 8.85576 | + | 6.03775i | 0.338608 | + | 0.230859i | ||||
\(685\) | 57.6689 | 2.20341 | ||||||||
\(686\) | −0.831257 | − | 3.82381i | −0.0317375 | − | 0.145994i | ||||
\(687\) | 43.2000 | 1.64818 | ||||||||
\(688\) | 4.43917 | + | 3.02658i | 0.169242 | + | 0.115387i | ||||
\(689\) | 0.640850 | + | 0.594622i | 0.0244144 | + | 0.0226533i | ||||
\(690\) | 1.77277 | + | 4.51693i | 0.0674881 | + | 0.171957i | ||||
\(691\) | −16.7009 | + | 5.15155i | −0.635333 | + | 0.195974i | −0.595658 | − | 0.803238i | \(-0.703109\pi\) |
−0.0396753 | + | 0.999213i | \(0.512632\pi\) | |||||||
\(692\) | 3.62536 | + | 15.8838i | 0.137816 | + | 0.603810i | ||||
\(693\) | −3.10293 | + | 3.15942i | −0.117871 | + | 0.120016i | ||||
\(694\) | 0.368929 | − | 1.61639i | 0.0140044 | − | 0.0613571i | ||||
\(695\) | −1.49954 | − | 20.0100i | −0.0568810 | − | 0.759024i | ||||
\(696\) | 8.16668 | + | 2.51909i | 0.309557 | + | 0.0954857i | ||||
\(697\) | 0.744500 | − | 9.93466i | 0.0281999 | − | 0.376302i | ||||
\(698\) | −0.357938 | + | 0.912011i | −0.0135481 | + | 0.0345201i | ||||
\(699\) | 37.4854 | − | 18.0520i | 1.41783 | − | 0.682791i | ||||
\(700\) | −52.7963 | + | 10.4837i | −1.99551 | + | 0.396247i | ||||
\(701\) | −5.53493 | − | 2.66548i | −0.209051 | − | 0.100674i | 0.326428 | − | 0.945222i | \(-0.394155\pi\) |
−0.535480 | + | 0.844548i | \(0.679869\pi\) | |||||||
\(702\) | −1.26469 | + | 1.17346i | −0.0477327 | + | 0.0442895i | ||||
\(703\) | 9.08195 | − | 1.36888i | 0.342532 | − | 0.0516284i | ||||
\(704\) | −3.48719 | + | 6.03999i | −0.131428 | + | 0.227641i | ||||
\(705\) | 22.9125 | + | 39.6857i | 0.862936 | + | 1.49465i | ||||
\(706\) | 2.89937 | + | 3.63570i | 0.109119 | + | 0.136831i | ||||
\(707\) | −17.0718 | + | 0.793038i | −0.642050 | + | 0.0298253i | ||||
\(708\) | −21.1840 | + | 26.5639i | −0.796144 | + | 0.998333i | ||||
\(709\) | −46.4984 | − | 7.00851i | −1.74628 | − | 0.263210i | −0.803187 | − | 0.595727i | \(-0.796864\pi\) |
−0.943097 | + | 0.332517i | \(0.892102\pi\) | |||||||
\(710\) | −5.58738 | + | 3.80941i | −0.209690 | + | 0.142965i | ||||
\(711\) | −7.26545 | + | 4.95350i | −0.272476 | + | 0.185771i | ||||
\(712\) | 11.1184 | + | 1.67583i | 0.416680 | + | 0.0628044i | ||||
\(713\) | 4.50735 | − | 5.65204i | 0.168802 | − | 0.211671i | ||||
\(714\) | 2.91252 | + | 1.23957i | 0.108998 | + | 0.0463897i | ||||
\(715\) | 6.96700 | + | 8.73634i | 0.260551 | + | 0.326721i | ||||
\(716\) | −9.69256 | − | 16.7880i | −0.362228 | − | 0.627397i | ||||
\(717\) | −23.9052 | + | 41.4051i | −0.892758 | + | 1.54630i | ||||
\(718\) | 4.07432 | − | 0.614105i | 0.152052 | − | 0.0229182i | ||||
\(719\) | 21.3997 | − | 19.8560i | 0.798075 | − | 0.740505i | −0.171531 | − | 0.985179i | \(-0.554871\pi\) |
0.969605 | + | 0.244674i | \(0.0786808\pi\) | |||||||
\(720\) | 22.0190 | + | 10.6038i | 0.820599 | + | 0.395179i | ||||
\(721\) | 0.779301 | − | 1.50726i | 0.0290227 | − | 0.0561334i | ||||
\(722\) | 1.55994 | − | 0.751228i | 0.0580550 | − | 0.0279578i | ||||
\(723\) | 21.1906 | − | 53.9929i | 0.788089 | − | 2.00802i | ||||
\(724\) | −0.465242 | + | 6.20823i | −0.0172906 | + | 0.230727i | ||||
\(725\) | 47.0616 | + | 14.5166i | 1.74782 | + | 0.539132i | ||||
\(726\) | 0.340870 | + | 4.54860i | 0.0126509 | + | 0.168814i | ||||
\(727\) | −1.54464 | + | 6.76752i | −0.0572876 | + | 0.250993i | −0.995461 | − | 0.0951729i | \(-0.969660\pi\) |
0.938173 | + | 0.346166i | \(0.112517\pi\) | |||||||
\(728\) | 5.34024 | + | 3.28868i | 0.197922 | + | 0.121887i | ||||
\(729\) | 0.0121780 | + | 0.0533551i | 0.000451036 | + | 0.00197612i | ||||
\(730\) | 10.1570 | − | 3.13302i | 0.375928 | − | 0.115958i | ||||
\(731\) | −1.37770 | − | 3.51033i | −0.0509562 | − | 0.129834i | ||||
\(732\) | −18.3806 | − | 17.0547i | −0.679366 | − | 0.630360i | ||||
\(733\) | −2.37356 | − | 1.61826i | −0.0876694 | − | 0.0597720i | 0.518692 | − | 0.854961i | \(-0.326419\pi\) |
−0.606361 | + | 0.795189i | \(0.707372\pi\) | |||||||
\(734\) | −0.00519206 | −0.000191643 | ||||||||
\(735\) | −24.7848 | + | 53.9340i | −0.914203 | + | 1.98939i | ||||
\(736\) | 6.66374 | 0.245629 | ||||||||
\(737\) | −8.93651 | − | 6.09281i | −0.329181 | − | 0.224432i | ||||
\(738\) | 0.981749 | + | 0.910930i | 0.0361387 | + | 0.0335318i | ||||
\(739\) | −0.265892 | − | 0.677481i | −0.00978098 | − | 0.0249215i | 0.925900 | − | 0.377769i | \(-0.123309\pi\) |
−0.935681 | + | 0.352848i | \(0.885213\pi\) | |||||||
\(740\) | 20.4904 | − | 6.32045i | 0.753241 | − | 0.232344i | ||||
\(741\) | −4.48237 | − | 19.6385i | −0.164664 | − | 0.721440i | ||||
\(742\) | −0.0929791 | − | 0.145054i | −0.00341337 | − | 0.00532511i | ||||
\(743\) | 3.21570 | − | 14.0889i | 0.117973 | − | 0.516872i | −0.881064 | − | 0.472996i | \(-0.843172\pi\) |
0.999037 | − | 0.0438755i | \(-0.0139705\pi\) | |||||||
\(744\) | 0.360150 | + | 4.80587i | 0.0132038 | + | 0.176192i | ||||
\(745\) | −76.1713 | − | 23.4957i | −2.79070 | − | 0.860817i | ||||
\(746\) | −0.00752793 | + | 0.100453i | −0.000275617 | + | 0.00367785i | ||||
\(747\) | 1.05112 | − | 2.67821i | 0.0384584 | − | 0.0979905i | ||||
\(748\) | 4.63454 | − | 2.23188i | 0.169455 | − | 0.0816054i | ||||
\(749\) | −32.3342 | − | 27.3221i | −1.18147 | − | 0.998327i | ||||
\(750\) | −8.72406 | − | 4.20129i | −0.318558 | − | 0.153409i | ||||
\(751\) | 2.64087 | − | 2.45037i | 0.0963666 | − | 0.0894151i | −0.630519 | − | 0.776174i | \(-0.717158\pi\) |
0.726885 | + | 0.686759i | \(0.240967\pi\) | |||||||
\(752\) | 19.9548 | − | 3.00770i | 0.727676 | − | 0.109679i | ||||
\(753\) | −21.1393 | + | 36.6144i | −0.770360 | + | 1.33430i | ||||
\(754\) | −1.41838 | − | 2.45671i | −0.0516545 | − | 0.0894683i | ||||
\(755\) | −59.0178 | − | 74.0060i | −2.14788 | − | 2.69335i | ||||
\(756\) | −13.1037 | + | 7.07745i | −0.476577 | + | 0.257404i | ||||
\(757\) | −5.55935 | + | 6.97121i | −0.202058 | + | 0.253373i | −0.872528 | − | 0.488564i | \(-0.837521\pi\) |
0.670470 | + | 0.741937i | \(0.266092\pi\) | |||||||
\(758\) | −0.197799 | − | 0.0298134i | −0.00718439 | − | 0.00108287i | ||||
\(759\) | 4.85263 | − | 3.30847i | 0.176139 | − | 0.120090i | ||||
\(760\) | −8.90871 | + | 6.07385i | −0.323153 | + | 0.220322i | ||||
\(761\) | 34.7720 | + | 5.24103i | 1.26048 | + | 0.189987i | 0.745088 | − | 0.666966i | \(-0.232407\pi\) |
0.515395 | + | 0.856953i | \(0.327645\pi\) | |||||||
\(762\) | 3.87851 | − | 4.86349i | 0.140503 | − | 0.176186i | ||||
\(763\) | 1.88643 | + | 2.15249i | 0.0682933 | + | 0.0779255i | ||||
\(764\) | 14.5398 | + | 18.2324i | 0.526032 | + | 0.659624i | ||||
\(765\) | −8.57665 | − | 14.8552i | −0.310090 | − | 0.537091i | ||||
\(766\) | 2.11373 | − | 3.66108i | 0.0763721 | − | 0.132280i | ||||
\(767\) | 22.5581 | − | 3.40009i | 0.814527 | − | 0.122770i | ||||
\(768\) | 19.8708 | − | 18.4374i | 0.717025 | − | 0.665302i | ||||
\(769\) | −46.0415 | − | 22.1724i | −1.66030 | − | 0.799558i | −0.998767 | − | 0.0496398i | \(-0.984193\pi\) |
−0.661531 | − | 0.749918i | \(-0.730093\pi\) | |||||||
\(770\) | −0.898839 | − | 2.01049i | −0.0323919 | − | 0.0724530i | ||||
\(771\) | 42.0271 | − | 20.2392i | 1.51357 | − | 0.728896i | ||||
\(772\) | −15.1733 | + | 38.6609i | −0.546098 | + | 1.39144i | ||||
\(773\) | −3.19834 | + | 42.6788i | −0.115036 | + | 1.53505i | 0.579129 | + | 0.815236i | \(0.303393\pi\) |
−0.694165 | + | 0.719816i | \(0.744226\pi\) | |||||||
\(774\) | 0.484415 | + | 0.149422i | 0.0174119 | + | 0.00537087i | ||||
\(775\) | 2.07542 | + | 27.6945i | 0.0745511 | + | 0.994816i | ||||
\(776\) | 1.36268 | − | 5.97031i | 0.0489175 | − | 0.214322i | ||||
\(777\) | 5.13864 | − | 15.1215i | 0.184348 | − | 0.542483i | ||||
\(778\) | 1.58416 | + | 6.94067i | 0.0567950 | + | 0.248835i | ||||
\(779\) | 11.9400 | − | 3.68300i | 0.427795 | − | 0.131957i | ||||
\(780\) | −17.1816 | − | 43.7781i | −0.615201 | − | 1.56751i | ||||
\(781\) | 6.00006 | + | 5.56724i | 0.214699 | + | 0.199212i | ||||
\(782\) | −1.23920 | − | 0.844871i | −0.0443136 | − | 0.0302125i | ||||
\(783\) | 13.6264 | 0.486967 | ||||||||
\(784\) | 18.1218 | + | 18.8374i | 0.647206 | + | 0.672763i | ||||
\(785\) | −72.8830 | −2.60131 | ||||||||
\(786\) | −2.92372 | − | 1.99336i | −0.104286 | − | 0.0711008i | ||||
\(787\) | −7.08941 | − | 6.57801i | −0.252710 | − | 0.234481i | 0.543637 | − | 0.839320i | \(-0.317047\pi\) |
−0.796347 | + | 0.604840i | \(0.793237\pi\) | |||||||
\(788\) | 7.65200 | + | 19.4970i | 0.272591 | + | 0.694551i | ||||
\(789\) | −31.9950 | + | 9.86915i | −1.13905 | + | 0.351351i | ||||
\(790\) | −0.973100 | − | 4.26343i | −0.0346213 | − | 0.151686i | ||||
\(791\) | 43.1364 | − | 15.5322i | 1.53375 | − | 0.552261i | ||||
\(792\) | −0.311260 | + | 1.36372i | −0.0110602 | + | 0.0484577i | ||||
\(793\) | 1.25812 | + | 16.7885i | 0.0446772 | + | 0.596176i | ||||
\(794\) | 4.22461 | + | 1.30312i | 0.149926 | + | 0.0462460i | ||||
\(795\) | −0.195305 | + | 2.60617i | −0.00692677 | + | 0.0924313i | ||||
\(796\) | 4.30787 | − | 10.9763i | 0.152688 | − | 0.389044i | ||||
\(797\) | −13.1458 | + | 6.33068i | −0.465648 | + | 0.224244i | −0.651970 | − | 0.758244i | \(-0.726057\pi\) |
0.186322 | + | 0.982489i | \(0.440343\pi\) | |||||||
\(798\) | −0.112653 | + | 3.96840i | −0.00398789 | + | 0.140480i | ||||
\(799\) | −12.7613 | − | 6.14552i | −0.451463 | − | 0.217413i | ||||
\(800\) | −18.7659 | + | 17.4122i | −0.663476 | + | 0.615616i | ||||
\(801\) | −22.1846 | + | 3.34380i | −0.783856 | + | 0.118147i | ||||
\(802\) | −0.291077 | + | 0.504159i | −0.0102783 | + | 0.0178025i | ||||
\(803\) | −6.43266 | − | 11.1417i | −0.227004 | − | 0.393182i | ||||
\(804\) | 28.3819 | + | 35.5898i | 1.00095 | + | 1.25515i | ||||
\(805\) | 16.4960 | − | 22.7785i | 0.581409 | − | 0.802838i | ||||
\(806\) | 0.997379 | − | 1.25067i | 0.0351312 | − | 0.0440531i | ||||
\(807\) | 47.8130 | + | 7.20665i | 1.68310 | + | 0.253686i | ||||
\(808\) | −4.46030 | + | 3.04098i | −0.156913 | + | 0.106981i | ||||
\(809\) | −40.1553 | + | 27.3774i | −1.41179 | + | 0.962539i | −0.413132 | + | 0.910671i | \(0.635565\pi\) |
−0.998654 | + | 0.0518677i | \(0.983483\pi\) | |||||||
\(810\) | −9.20218 | − | 1.38701i | −0.323332 | − | 0.0487344i | ||||
\(811\) | −14.6772 | + | 18.4047i | −0.515387 | + | 0.646275i | −0.969622 | − | 0.244607i | \(-0.921341\pi\) |
0.454235 | + | 0.890882i | \(0.349913\pi\) | |||||||
\(812\) | −6.55104 | − | 23.5954i | −0.229896 | − | 0.828036i | ||||
\(813\) | −1.59644 | − | 2.00187i | −0.0559895 | − | 0.0702086i | ||||
\(814\) | 0.296279 | + | 0.513169i | 0.0103846 | + | 0.0179866i | ||||
\(815\) | 18.8143 | − | 32.5873i | 0.659036 | − | 1.14148i | ||||
\(816\) | −20.9077 | + | 3.15133i | −0.731916 | + | 0.110319i | ||||
\(817\) | 3.46707 | − | 3.21697i | 0.121298 | − | 0.112548i | ||||
\(818\) | 1.03589 | + | 0.498857i | 0.0362190 | + | 0.0174421i | ||||
\(819\) | −12.1162 | − | 3.12967i | −0.423374 | − | 0.109360i | ||||
\(820\) | 26.2833 | − | 12.6574i | 0.917852 | − | 0.442014i | ||||
\(821\) | 7.41483 | − | 18.8927i | 0.258779 | − | 0.659359i | −0.741149 | − | 0.671341i | \(-0.765719\pi\) |
0.999928 | + | 0.0119819i | \(0.00381405\pi\) | |||||||
\(822\) | 0.501223 | − | 6.68835i | 0.0174821 | − | 0.233283i | ||||
\(823\) | −22.0137 | − | 6.79033i | −0.767350 | − | 0.236696i | −0.113723 | − | 0.993513i | \(-0.536277\pi\) |
−0.653627 | + | 0.756816i | \(0.726754\pi\) | |||||||
\(824\) | −0.0400535 | − | 0.534477i | −0.00139533 | − | 0.0186194i | ||||
\(825\) | −5.02065 | + | 21.9969i | −0.174796 | + | 0.765833i | ||||
\(826\) | −4.47217 | − | 0.463082i | −0.155607 | − | 0.0161127i | ||||
\(827\) | 4.01519 | + | 17.5917i | 0.139622 | + | 0.611723i | 0.995518 | + | 0.0945747i | \(0.0301491\pi\) |
−0.855896 | + | 0.517148i | \(0.826994\pi\) | |||||||
\(828\) | −8.43860 | + | 2.60296i | −0.293262 | + | 0.0904592i | ||||
\(829\) | 14.6563 | + | 37.3437i | 0.509036 | + | 1.29700i | 0.922330 | + | 0.386404i | \(0.126283\pi\) |
−0.413294 | + | 0.910598i | \(0.635622\pi\) | |||||||
\(830\) | 1.04886 | + | 0.973200i | 0.0364065 | + | 0.0337803i | ||||
\(831\) | −26.8336 | − | 18.2948i | −0.930847 | − | 0.634640i | ||||
\(832\) | −19.7087 | −0.683275 | ||||||||
\(833\) | −3.06118 | − | 18.0891i | −0.106064 | − | 0.626751i | ||||
\(834\) | −2.33377 | −0.0808117 | ||||||||
\(835\) | 40.7463 | + | 27.7804i | 1.41008 | + | 0.961380i | ||||
\(836\) | 4.72936 | + | 4.38821i | 0.163568 | + | 0.151769i | ||||
\(837\) | 2.80728 | + | 7.15282i | 0.0970337 | + | 0.247238i | ||||
\(838\) | −0.534902 | + | 0.164995i | −0.0184779 | + | 0.00569967i | ||||
\(839\) | −6.97789 | − | 30.5721i | −0.240904 | − | 1.05547i | −0.940197 | − | 0.340632i | \(-0.889359\pi\) |
0.699293 | − | 0.714835i | \(-0.253498\pi\) | |||||||
\(840\) | 2.26719 | + | 18.6115i | 0.0782255 | + | 0.642156i | ||||
\(841\) | 1.46742 | − | 6.42920i | 0.0506008 | − | 0.221696i | ||||
\(842\) | −0.328786 | − | 4.38735i | −0.0113307 | − | 0.151198i | ||||
\(843\) | 15.4330 | + | 4.76046i | 0.531542 | + | 0.163959i | ||||
\(844\) | −2.06217 | + | 27.5178i | −0.0709830 | + | 0.947202i | ||||
\(845\) | 7.10461 | − | 18.1023i | 0.244406 | − | 0.622737i | ||||
\(846\) | 1.71550 | − | 0.826144i | 0.0589803 | − | 0.0284034i | ||||
\(847\) | 21.1292 | − | 15.8905i | 0.726010 | − | 0.546003i | ||||
\(848\) | 1.03693 | + | 0.499360i | 0.0356084 | + | 0.0171481i | ||||
\(849\) | 26.1063 | − | 24.2231i | 0.895967 | − | 0.831336i | ||||
\(850\) | 5.69737 | − | 0.858740i | 0.195418 | − | 0.0294546i | ||||
\(851\) | −3.78367 | + | 6.55351i | −0.129703 | + | 0.224652i | ||||
\(852\) | −17.2243 | − | 29.8333i | −0.590093 | − | 1.02207i | ||||
\(853\) | 11.8604 | + | 14.8725i | 0.406092 | + | 0.509223i | 0.942257 | − | 0.334890i | \(-0.108699\pi\) |
−0.536165 | + | 0.844113i | \(0.680128\pi\) | |||||||
\(854\) | 0.587429 | − | 3.26562i | 0.0201014 | − | 0.111747i | ||||
\(855\) | 13.4137 | − | 16.8203i | 0.458739 | − | 0.575241i | ||||
\(856\) | −13.2222 | − | 1.99292i | −0.451925 | − | 0.0681167i | ||||
\(857\) | −10.9776 | + | 7.48440i | −0.374988 | + | 0.255662i | −0.736118 | − | 0.676853i | \(-0.763343\pi\) |
0.361131 | + | 0.932515i | \(0.382391\pi\) | |||||||
\(858\) | 1.07378 | − | 0.732091i | 0.0366583 | − | 0.0249932i | ||||
\(859\) | 32.0113 | + | 4.82492i | 1.09221 | + | 0.164624i | 0.670356 | − | 0.742039i | \(-0.266141\pi\) |
0.421854 | + | 0.906664i | \(0.361379\pi\) | |||||||
\(860\) | 6.88473 | − | 8.63318i | 0.234767 | − | 0.294389i | ||||
\(861\) | 3.84667 | − | 21.3843i | 0.131094 | − | 0.728775i | ||||
\(862\) | 4.12172 | + | 5.16847i | 0.140386 | + | 0.176039i | ||||
\(863\) | 11.3284 | + | 19.6214i | 0.385623 | + | 0.667919i | 0.991855 | − | 0.127369i | \(-0.0406531\pi\) |
−0.606232 | + | 0.795288i | \(0.707320\pi\) | |||||||
\(864\) | −3.54146 | + | 6.13399i | −0.120483 | + | 0.208683i | ||||
\(865\) | 32.3372 | − | 4.87404i | 1.09950 | − | 0.165722i | ||||
\(866\) | 1.30328 | − | 1.20927i | 0.0442874 | − | 0.0410927i | ||||
\(867\) | −19.7197 | − | 9.49650i | −0.669715 | − | 0.322518i | ||||
\(868\) | 11.0362 | − | 8.29988i | 0.374593 | − | 0.281716i | ||||
\(869\) | −4.76886 | + | 2.29656i | −0.161773 | + | 0.0779056i | ||||
\(870\) | 3.09827 | − | 7.89427i | 0.105041 | − | 0.267641i | ||||
\(871\) | 2.28407 | − | 30.4788i | 0.0773928 | − | 1.03274i | ||||
\(872\) | 0.863907 | + | 0.266480i | 0.0292556 | + | 0.00902416i | ||||
\(873\) | 0.913125 | + | 12.1848i | 0.0309046 | + | 0.412393i | ||||
\(874\) | 0.418579 | − | 1.83392i | 0.0141587 | − | 0.0620331i | ||||
\(875\) | 6.78653 | + | 55.7109i | 0.229427 | + | 1.88337i | ||||
\(876\) | 12.0487 | + | 52.7889i | 0.407089 | + | 1.78357i | ||||
\(877\) | 15.9861 | − | 4.93106i | 0.539813 | − | 0.166510i | −0.0128465 | − | 0.999917i | \(-0.504089\pi\) |
0.552659 | + | 0.833407i | \(0.313613\pi\) | |||||||
\(878\) | −1.75286 | − | 4.46621i | −0.0591561 | − | 0.150727i | ||||
\(879\) | −2.22328 | − | 2.06290i | −0.0749894 | − | 0.0695800i | ||||
\(880\) | 12.1546 | + | 8.28687i | 0.409732 | + | 0.279350i | ||||
\(881\) | 35.7905 | 1.20581 | 0.602906 | − | 0.797812i | \(-0.294009\pi\) | ||||
0.602906 | + | 0.797812i | \(0.294009\pi\) | |||||||
\(882\) | 2.15777 | + | 1.19442i | 0.0726560 | + | 0.0402182i | ||||
\(883\) | 43.6350 | 1.46844 | 0.734218 | − | 0.678914i | \(-0.237549\pi\) | ||||
0.734218 | + | 0.678914i | \(0.237549\pi\) | |||||||
\(884\) | 12.0103 | + | 8.18848i | 0.403950 | + | 0.275408i | ||||
\(885\) | 49.9934 | + | 46.3871i | 1.68051 | + | 1.55929i | ||||
\(886\) | −1.79899 | − | 4.58374i | −0.0604381 | − | 0.153994i | ||||
\(887\) | −10.3901 | + | 3.20492i | −0.348865 | + | 0.107611i | −0.464235 | − | 0.885712i | \(-0.653671\pi\) |
0.115370 | + | 0.993323i | \(0.463195\pi\) | |||||||
\(888\) | −1.12256 | − | 4.91827i | −0.0376707 | − | 0.165046i | ||||
\(889\) | −35.8632 | − | 3.71355i | −1.20281 | − | 0.124548i | ||||
\(890\) | 2.48274 | − | 10.8776i | 0.0832216 | − | 0.364617i | ||||
\(891\) | 0.841750 | + | 11.2324i | 0.0281997 | + | 0.376299i | ||||
\(892\) | −17.8042 | − | 5.49186i | −0.596128 | − | 0.183881i | ||||
\(893\) | 1.32755 | − | 17.7150i | 0.0444249 | − | 0.592809i | ||||
\(894\) | −3.38703 | + | 8.63002i | −0.113279 | + | 0.288631i | ||||
\(895\) | −35.0572 | + | 16.8827i | −1.17183 | + | 0.564325i | ||||
\(896\) | 16.3664 | + | 4.22753i | 0.546764 | + | 0.141232i | ||||
\(897\) | 14.9532 | + | 7.20106i | 0.499272 | + | 0.240437i | ||||
\(898\) | −0.665096 | + | 0.617119i | −0.0221946 | + | 0.0205935i | ||||
\(899\) | −12.4935 | + | 1.88309i | −0.416680 | + | 0.0628044i | ||||
\(900\) | 16.9627 | − | 29.3802i | 0.565422 | − | 0.979339i | ||||
\(901\) | −0.403897 | − | 0.699571i | −0.0134558 | − | 0.0233061i | ||||
\(902\) | 0.502624 | + | 0.630270i | 0.0167355 | + | 0.0209857i | ||||
\(903\) | −2.20017 | − | 7.92453i | −0.0732171 | − | 0.263712i | ||||
\(904\) | 9.02938 | − | 11.3225i | 0.300313 | − | 0.376580i | ||||
\(905\) | 12.3568 | + | 1.86248i | 0.410753 | + | 0.0619110i | ||||
\(906\) | −9.09605 | + | 6.20158i | −0.302196 | + | 0.206034i | ||||
\(907\) | −5.81488 | + | 3.96452i | −0.193080 | + | 0.131640i | −0.656001 | − | 0.754760i | \(-0.727754\pi\) |
0.462922 | + | 0.886399i | \(0.346801\pi\) | |||||||
\(908\) | −22.5820 | − | 3.40369i | −0.749410 | − | 0.112955i | ||||
\(909\) | 6.71581 | − | 8.42136i | 0.222749 | − | 0.279319i | ||||
\(910\) | 3.65021 | − | 5.04039i | 0.121003 | − | 0.167087i | ||||
\(911\) | −10.7965 | − | 13.5383i | −0.357703 | − | 0.448545i | 0.570123 | − | 0.821559i | \(-0.306896\pi\) |
−0.927826 | + | 0.373014i | \(0.878324\pi\) | |||||||
\(912\) | −13.2595 | − | 22.9660i | −0.439064 | − | 0.760482i | ||||
\(913\) | 0.865907 | − | 1.49980i | 0.0286573 | − | 0.0496360i | ||||
\(914\) | −2.57685 | + | 0.388398i | −0.0852348 | + | 0.0128471i | ||||
\(915\) | −36.8943 | + | 34.2329i | −1.21969 | + | 1.13170i | ||||
\(916\) | −35.2271 | − | 16.9645i | −1.16394 | − | 0.560522i | ||||
\(917\) | −0.581989 | + | 20.5015i | −0.0192190 | + | 0.677019i | ||||
\(918\) | 1.43628 | − | 0.691676i | 0.0474043 | − | 0.0228287i | ||||
\(919\) | −18.3846 | + | 46.8432i | −0.606453 | + | 1.54522i | 0.216006 | + | 0.976392i | \(0.430697\pi\) |
−0.822459 | + | 0.568824i | \(0.807398\pi\) | |||||||
\(920\) | 0.663882 | − | 8.85889i | 0.0218875 | − | 0.292069i | ||||
\(921\) | −52.3821 | − | 16.1577i | −1.72605 | − | 0.532416i | ||||
\(922\) | 0.307053 | + | 4.09734i | 0.0101123 | + | 0.134939i | ||||
\(923\) | −5.14687 | + | 22.5499i | −0.169411 | + | 0.742240i | ||||
\(924\) | 10.5552 | − | 3.80062i | 0.347240 | − | 0.125031i | ||||
\(925\) | −6.46892 | − | 28.3422i | −0.212697 | − | 0.931885i | ||||
\(926\) | −1.82357 | + | 0.562497i | −0.0599262 | + | 0.0184848i | ||||
\(927\) | 0.390709 | + | 0.995510i | 0.0128326 | + | 0.0326969i | ||||
\(928\) | −8.53732 | − | 7.92147i | −0.280251 | − | 0.260035i | ||||
\(929\) | −15.7581 | − | 10.7437i | −0.517005 | − | 0.352488i | 0.276537 | − | 0.961003i | \(-0.410813\pi\) |
−0.793542 | + | 0.608515i | \(0.791765\pi\) | |||||||
\(930\) | 4.78220 | 0.156815 | ||||||||
\(931\) | 19.7166 | − | 11.8627i | 0.646187 | − | 0.388784i | ||||
\(932\) | −37.6561 | −1.23347 | ||||||||
\(933\) | −48.2009 | − | 32.8628i | −1.57803 | − | 1.07588i | ||||
\(934\) | 1.48724 | + | 1.37996i | 0.0486641 | + | 0.0451537i | ||||
\(935\) | −3.77220 | − | 9.61140i | −0.123364 | − | 0.314326i | ||||
\(936\) | −3.77719 | + | 1.16511i | −0.123461 | + | 0.0380827i | ||||
\(937\) | 8.91028 | + | 39.0385i | 0.291086 | + | 1.27533i | 0.883016 | + | 0.469342i | \(0.155509\pi\) |
−0.591930 | + | 0.805989i | \(0.701634\pi\) | |||||||
\(938\) | −1.93816 | + | 5.70344i | −0.0632831 | + | 0.186224i | ||||
\(939\) | −11.2130 | + | 49.1274i | −0.365923 | + | 1.60321i | ||||
\(940\) | −3.09943 | − | 41.3590i | −0.101092 | − | 1.34898i | ||||
\(941\) | 13.9319 | + | 4.29741i | 0.454166 | + | 0.140092i | 0.513394 | − | 0.858153i | \(-0.328388\pi\) |
−0.0592284 | + | 0.998244i | \(0.518864\pi\) | |||||||
\(942\) | −0.633455 | + | 8.45287i | −0.0206391 | + | 0.275409i | ||||
\(943\) | −3.76119 | + | 9.58336i | −0.122481 | + | 0.312077i | ||||
\(944\) | 27.0589 | − | 13.0309i | 0.880691 | − | 0.424118i | ||||
\(945\) | 12.2008 | + | 27.2904i | 0.396893 | + | 0.887755i | ||||
\(946\) | 0.274923 | + | 0.132396i | 0.00893852 | + | 0.00430457i | ||||
\(947\) | −13.6570 | + | 12.6719i | −0.443794 | + | 0.411780i | −0.870159 | − | 0.492770i | \(-0.835984\pi\) |
0.426366 | + | 0.904551i | \(0.359794\pi\) | |||||||
\(948\) | 22.0281 | − | 3.32020i | 0.715439 | − | 0.107835i | ||||
\(949\) | 18.1778 | − | 31.4849i | 0.590078 | − | 1.02204i | ||||
\(950\) | 3.61322 | + | 6.25827i | 0.117228 | + | 0.203045i | ||||
\(951\) | 4.51940 | + | 5.66714i | 0.146551 | + | 0.183770i | ||||
\(952\) | −3.81954 | − | 4.35825i | −0.123792 | − | 0.141252i | ||||
\(953\) | 30.6300 | − | 38.4088i | 0.992203 | − | 1.24418i | 0.0225376 | − | 0.999746i | \(-0.492825\pi\) |
0.969665 | − | 0.244437i | \(-0.0786031\pi\) | |||||||
\(954\) | 0.107379 | + | 0.0161848i | 0.00347653 | + | 0.000524002i | ||||
\(955\) | 38.6754 | − | 26.3684i | 1.25151 | − | 0.853262i | ||||
\(956\) | 35.7529 | − | 24.3759i | 1.15633 | − | 0.788374i | ||||
\(957\) | −10.1499 | − | 1.52985i | −0.328100 | − | 0.0494531i | ||||
\(958\) | −4.17838 | + | 5.23952i | −0.134997 | + | 0.169281i | ||||
\(959\) | −34.2043 | + | 18.4741i | −1.10452 | + | 0.596560i | ||||
\(960\) | −36.7353 | − | 46.0646i | −1.18563 | − | 1.48673i | ||||
\(961\) | 11.9376 | + | 20.6766i | 0.385085 | + | 0.666987i | ||||
\(962\) | −0.837244 | + | 1.45015i | −0.0269938 | + | 0.0467547i | ||||
\(963\) | 26.3823 | − | 3.97650i | 0.850159 | − | 0.128141i | ||||
\(964\) | −38.4825 | + | 35.7065i | −1.23944 | + | 1.15003i | ||||
\(965\) | 75.1087 | + | 36.1704i | 2.41783 | + | 1.16437i | ||||
\(966\) | −2.49845 | − | 2.11116i | −0.0803862 | − | 0.0679256i | ||||
\(967\) | −21.5672 | + | 10.3862i | −0.693554 | + | 0.333998i | −0.747235 | − | 0.664560i | \(-0.768619\pi\) |
0.0536809 | + | 0.998558i | \(0.482905\pi\) | |||||||
\(968\) | 3.05095 | − | 7.77369i | 0.0980611 | − | 0.249856i | ||||
\(969\) | −1.39095 | + | 18.5610i | −0.0446838 | + | 0.596264i | ||||
\(970\) | −5.80668 | − | 1.79112i | −0.186441 | − | 0.0575095i | ||||
\(971\) | −1.82440 | − | 24.3449i | −0.0585478 | − | 0.781266i | −0.946782 | − | 0.321876i | \(-0.895687\pi\) |
0.888234 | − | 0.459391i | \(-0.151932\pi\) | |||||||
\(972\) | 6.79123 | − | 29.7543i | 0.217829 | − | 0.954370i | ||||
\(973\) | 7.29958 | + | 11.3879i | 0.234014 | + | 0.365079i | ||||
\(974\) | 0.673872 | + | 2.95243i | 0.0215922 | + | 0.0946018i | ||||
\(975\) | −60.9262 | + | 18.7932i | −1.95120 | + | 0.601866i | ||||
\(976\) | 8.09737 | + | 20.6318i | 0.259191 | + | 0.660407i | ||||
\(977\) | −10.7011 | − | 9.92917i | −0.342358 | − | 0.317662i | 0.490189 | − | 0.871616i | \(-0.336928\pi\) |
−0.832547 | + | 0.553954i | \(0.813118\pi\) | |||||||
\(978\) | −3.61591 | − | 2.46528i | −0.115624 | − | 0.0788310i | ||||
\(979\) | −13.5045 | −0.431606 | ||||||||
\(980\) | 41.3903 | − | 34.2471i | 1.32216 | − | 1.09398i | ||||
\(981\) | −1.80390 | −0.0575943 | ||||||||
\(982\) | −2.84386 | − | 1.93891i | −0.0907512 | − | 0.0618731i | ||||
\(983\) | 6.12856 | + | 5.68647i | 0.195471 | + | 0.181370i | 0.771836 | − | 0.635822i | \(-0.219339\pi\) |
−0.576365 | + | 0.817192i | \(0.695529\pi\) | |||||||
\(984\) | −2.50739 | − | 6.38872i | −0.0799325 | − | 0.203665i | ||||
\(985\) | 40.1735 | − | 12.3919i | 1.28003 | − | 0.394838i | ||||
\(986\) | 0.583276 | + | 2.55550i | 0.0185753 | + | 0.0813837i | ||||
\(987\) | −26.3030 | − | 16.1982i | −0.837235 | − | 0.515595i | ||||
\(988\) | −4.05687 | + | 17.7743i | −0.129066 | + | 0.565475i | ||||
\(989\) | 0.291213 | + | 3.88596i | 0.00926003 | + | 0.123566i | ||||
\(990\) | 1.32634 | + | 0.409123i | 0.0421540 | + | 0.0130028i | ||||
\(991\) | 0.593714 | − | 7.92256i | 0.0188599 | − | 0.251668i | −0.979803 | − | 0.199967i | \(-0.935917\pi\) |
0.998663 | − | 0.0517014i | \(-0.0164644\pi\) | |||||||
\(992\) | 2.39934 | − | 6.11342i | 0.0761791 | − | 0.194101i | ||||
\(993\) | 4.59184 | − | 2.21131i | 0.145718 | − | 0.0701739i | ||||
\(994\) | 2.09362 | − | 4.04933i | 0.0664057 | − | 0.128437i | ||||
\(995\) | −21.3242 | − | 10.2692i | −0.676023 | − | 0.325556i | ||||
\(996\) | −5.34301 | + | 4.95759i | −0.169300 | + | 0.157087i | ||||
\(997\) | −16.1429 | + | 2.43315i | −0.511251 | + | 0.0770586i | −0.399601 | − | 0.916689i | \(-0.630851\pi\) |
−0.111649 | + | 0.993748i | \(0.535613\pi\) | |||||||
\(998\) | 3.11293 | − | 5.39176i | 0.0985382 | − | 0.170673i | ||||
\(999\) | −4.02168 | − | 6.96576i | −0.127240 | − | 0.220387i |
(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 | 49.2.g.a.4.3 | ✓ | 48 | |
3.2 | odd | 2 | 441.2.bb.d.298.2 | 48 | |||
4.3 | odd | 2 | 784.2.bg.c.641.1 | 48 | |||
7.2 | even | 3 | 343.2.g.i.275.3 | 48 | |||
7.3 | odd | 6 | 343.2.e.c.148.4 | 48 | |||
7.4 | even | 3 | 343.2.e.d.148.4 | 48 | |||
7.5 | odd | 6 | 343.2.g.h.275.3 | 48 | |||
7.6 | odd | 2 | 343.2.g.g.263.3 | 48 | |||
49.12 | odd | 42 | 343.2.g.g.30.3 | 48 | |||
49.17 | odd | 42 | 343.2.e.c.197.4 | 48 | |||
49.20 | odd | 14 | 343.2.g.h.116.3 | 48 | |||
49.24 | odd | 42 | 2401.2.a.i.1.13 | 24 | |||
49.25 | even | 21 | 2401.2.a.h.1.13 | 24 | |||
49.29 | even | 7 | 343.2.g.i.116.3 | 48 | |||
49.32 | even | 21 | 343.2.e.d.197.4 | 48 | |||
49.37 | even | 21 | inner | 49.2.g.a.37.3 | yes | 48 | |
147.86 | odd | 42 | 441.2.bb.d.37.2 | 48 | |||
196.135 | odd | 42 | 784.2.bg.c.625.1 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.4.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
49.2.g.a.37.3 | yes | 48 | 49.37 | even | 21 | inner | |
343.2.e.c.148.4 | 48 | 7.3 | odd | 6 | |||
343.2.e.c.197.4 | 48 | 49.17 | odd | 42 | |||
343.2.e.d.148.4 | 48 | 7.4 | even | 3 | |||
343.2.e.d.197.4 | 48 | 49.32 | even | 21 | |||
343.2.g.g.30.3 | 48 | 49.12 | odd | 42 | |||
343.2.g.g.263.3 | 48 | 7.6 | odd | 2 | |||
343.2.g.h.116.3 | 48 | 49.20 | odd | 14 | |||
343.2.g.h.275.3 | 48 | 7.5 | odd | 6 | |||
343.2.g.i.116.3 | 48 | 49.29 | even | 7 | |||
343.2.g.i.275.3 | 48 | 7.2 | even | 3 | |||
441.2.bb.d.37.2 | 48 | 147.86 | odd | 42 | |||
441.2.bb.d.298.2 | 48 | 3.2 | odd | 2 | |||
784.2.bg.c.625.1 | 48 | 196.135 | odd | 42 | |||
784.2.bg.c.641.1 | 48 | 4.3 | odd | 2 | |||
2401.2.a.h.1.13 | 24 | 49.25 | even | 21 | |||
2401.2.a.i.1.13 | 24 | 49.24 | odd | 42 |