Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [44,2,Mod(7,44)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(44, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("44.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 44 = 2^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 44.g (of order \(10\), 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: | \(0.351341768894\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5 x^{15} + 13 x^{14} - 25 x^{13} + 35 x^{12} - 30 x^{11} - 2 x^{10} + 60 x^{9} - 116 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 19.1 | ||
Root | \(1.40958 + 0.114404i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 44.19 |
Dual form | 44.2.g.a.7.1 |
$q$-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 \(\left(\mathbb{Z}/44\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40958 | + | 0.114404i | −0.996723 | + | 0.0808960i | ||||
\(3\) | 0.704424 | − | 0.228881i | 0.406700 | − | 0.132145i | −0.0985210 | − | 0.995135i | \(-0.531411\pi\) |
0.505221 | + | 0.862990i | \(0.331411\pi\) | |||||||
\(4\) | 1.97382 | − | 0.322523i | 0.986912 | − | 0.161262i | ||||
\(5\) | 1.09089 | + | 0.792578i | 0.487861 | + | 0.354452i | 0.804361 | − | 0.594141i | \(-0.202508\pi\) |
−0.316500 | + | 0.948592i | \(0.602508\pi\) | |||||||
\(6\) | −0.966756 | + | 0.403215i | −0.394677 | + | 0.164612i | ||||
\(7\) | 0.503194 | − | 1.54867i | 0.190189 | − | 0.585343i | −0.809810 | − | 0.586693i | \(-0.800430\pi\) |
0.999999 | + | 0.00134995i | \(0.000429701\pi\) | |||||||
\(8\) | −2.74536 | + | 0.680436i | −0.970632 | + | 0.240570i | ||||
\(9\) | −1.98322 | + | 1.44090i | −0.661075 | + | 0.480299i | ||||
\(10\) | −1.62837 | − | 0.992398i | −0.514936 | − | 0.313824i | ||||
\(11\) | −3.29726 | + | 0.357912i | −0.994160 | + | 0.107915i | ||||
\(12\) | 1.31659 | − | 0.678965i | 0.380067 | − | 0.196000i | ||||
\(13\) | −2.09089 | − | 2.87786i | −0.579909 | − | 0.798176i | 0.413777 | − | 0.910378i | \(-0.364209\pi\) |
−0.993685 | + | 0.112203i | \(0.964209\pi\) | |||||||
\(14\) | −0.532117 | + | 2.24054i | −0.142214 | + | 0.598810i | ||||
\(15\) | 0.949856 | + | 0.308627i | 0.245252 | + | 0.0796871i | ||||
\(16\) | 3.79196 | − | 1.27321i | 0.947989 | − | 0.318302i | ||||
\(17\) | −0.0411247 | + | 0.0566033i | −0.00997420 | + | 0.0137283i | −0.813975 | − | 0.580900i | \(-0.802701\pi\) |
0.804001 | + | 0.594628i | \(0.202701\pi\) | |||||||
\(18\) | 2.63067 | − | 2.25795i | 0.620054 | − | 0.532203i | ||||
\(19\) | 2.45716 | + | 7.56236i | 0.563711 | + | 1.73493i | 0.671749 | + | 0.740778i | \(0.265543\pi\) |
−0.108038 | + | 0.994147i | \(0.534457\pi\) | |||||||
\(20\) | 2.40885 | + | 1.21257i | 0.538635 | + | 0.271139i | ||||
\(21\) | − | 1.20609i | − | 0.263191i | ||||||
\(22\) | 4.60680 | − | 0.881725i | 0.982172 | − | 0.187984i | ||||
\(23\) | − | 5.30988i | − | 1.10719i | −0.832787 | − | 0.553593i | \(-0.813256\pi\) | ||
0.832787 | − | 0.553593i | \(-0.186744\pi\) | |||||||
\(24\) | −1.77816 | + | 1.10768i | −0.362965 | + | 0.226104i | ||||
\(25\) | −0.983224 | − | 3.02605i | −0.196645 | − | 0.605210i | ||||
\(26\) | 3.27651 | + | 3.81737i | 0.642577 | + | 0.748647i | ||||
\(27\) | −2.37331 | + | 3.26658i | −0.456744 | + | 0.628654i | ||||
\(28\) | 0.493733 | − | 3.21909i | 0.0933068 | − | 0.608352i | ||||
\(29\) | 3.74364 | + | 1.21638i | 0.695177 | + | 0.225877i | 0.635228 | − | 0.772325i | \(-0.280906\pi\) |
0.0599489 | + | 0.998201i | \(0.480906\pi\) | |||||||
\(30\) | −1.37420 | − | 0.326366i | −0.250894 | − | 0.0595861i | ||||
\(31\) | −2.17121 | − | 2.98842i | −0.389961 | − | 0.536735i | 0.568228 | − | 0.822871i | \(-0.307629\pi\) |
−0.958189 | + | 0.286136i | \(0.907629\pi\) | |||||||
\(32\) | −5.19940 | + | 2.22850i | −0.919133 | + | 0.393947i | ||||
\(33\) | −2.24075 | + | 1.00680i | −0.390064 | + | 0.175262i | ||||
\(34\) | 0.0514928 | − | 0.0844916i | 0.00883095 | − | 0.0144902i | ||||
\(35\) | 1.77637 | − | 1.29061i | 0.300262 | − | 0.218153i | ||||
\(36\) | −3.44981 | + | 3.48371i | −0.574969 | + | 0.580619i | ||||
\(37\) | −2.12561 | + | 6.54194i | −0.349448 | + | 1.07549i | 0.609712 | + | 0.792623i | \(0.291285\pi\) |
−0.959159 | + | 0.282866i | \(0.908715\pi\) | |||||||
\(38\) | −4.32873 | − | 10.3786i | −0.702212 | − | 1.68364i | ||||
\(39\) | −2.13156 | − | 1.54867i | −0.341323 | − | 0.247986i | ||||
\(40\) | −3.53418 | − | 1.43363i | −0.558804 | − | 0.226677i | ||||
\(41\) | 5.50305 | − | 1.78805i | 0.859432 | − | 0.279246i | 0.154041 | − | 0.988065i | \(-0.450771\pi\) |
0.705391 | + | 0.708818i | \(0.250771\pi\) | |||||||
\(42\) | 0.137982 | + | 1.70008i | 0.0212911 | + | 0.262329i | ||||
\(43\) | 1.89516 | 0.289009 | 0.144505 | − | 0.989504i | \(-0.453841\pi\) | ||||
0.144505 | + | 0.989504i | \(0.453841\pi\) | |||||||
\(44\) | −6.39277 | + | 1.76990i | −0.963746 | + | 0.266822i | ||||
\(45\) | −3.30550 | −0.492755 | ||||||||
\(46\) | 0.607472 | + | 7.48469i | 0.0895669 | + | 1.10356i | ||||
\(47\) | 9.32545 | − | 3.03002i | 1.36026 | − | 0.441974i | 0.464128 | − | 0.885768i | \(-0.346368\pi\) |
0.896129 | + | 0.443794i | \(0.146368\pi\) | |||||||
\(48\) | 2.37973 | − | 1.76479i | 0.343485 | − | 0.254725i | ||||
\(49\) | 3.51794 | + | 2.55593i | 0.502563 | + | 0.365133i | ||||
\(50\) | 1.73212 | + | 4.15297i | 0.244959 | + | 0.587319i | ||||
\(51\) | −0.0160138 | + | 0.0492854i | −0.00224238 | + | 0.00690134i | ||||
\(52\) | −5.05523 | − | 5.00603i | −0.701034 | − | 0.694212i | ||||
\(53\) | 3.14518 | − | 2.28511i | 0.432023 | − | 0.313883i | −0.350434 | − | 0.936587i | \(-0.613966\pi\) |
0.782457 | + | 0.622704i | \(0.213966\pi\) | |||||||
\(54\) | 2.97166 | − | 4.87602i | 0.404391 | − | 0.663543i | ||||
\(55\) | −3.88062 | − | 2.22289i | −0.523262 | − | 0.299734i | ||||
\(56\) | −0.327678 | + | 4.59405i | −0.0437878 | + | 0.613906i | ||||
\(57\) | 3.46177 | + | 4.76471i | 0.458522 | + | 0.631102i | ||||
\(58\) | −5.41611 | − | 1.28630i | −0.711171 | − | 0.168899i | ||||
\(59\) | −4.62366 | − | 1.50232i | −0.601950 | − | 0.195585i | −0.00783982 | − | 0.999969i | \(-0.502496\pi\) |
−0.594110 | + | 0.804384i | \(0.702496\pi\) | |||||||
\(60\) | 1.97439 | + | 0.302824i | 0.254892 | + | 0.0390944i | ||||
\(61\) | 0.791173 | − | 1.08896i | 0.101299 | − | 0.139427i | −0.755358 | − | 0.655312i | \(-0.772537\pi\) |
0.856657 | + | 0.515886i | \(0.172537\pi\) | |||||||
\(62\) | 3.40238 | + | 3.96401i | 0.432103 | + | 0.503430i | ||||
\(63\) | 1.23353 | + | 3.79641i | 0.155410 | + | 0.478303i | ||||
\(64\) | 7.07402 | − | 3.73608i | 0.884252 | − | 0.467010i | ||||
\(65\) | − | 4.79662i | − | 0.594948i | ||||||
\(66\) | 3.04333 | − | 1.67552i | 0.374608 | − | 0.206242i | ||||
\(67\) | 4.91303i | 0.600223i | 0.953904 | + | 0.300111i | \(0.0970238\pi\) | ||||
−0.953904 | + | 0.300111i | \(0.902976\pi\) | |||||||
\(68\) | −0.0629170 | + | 0.124989i | −0.00762981 | + | 0.0151571i | ||||
\(69\) | −1.21533 | − | 3.74041i | −0.146309 | − | 0.450292i | ||||
\(70\) | −2.35628 | + | 2.02244i | −0.281630 | + | 0.241728i | ||||
\(71\) | −4.10014 | + | 5.64335i | −0.486597 | + | 0.669743i | −0.979756 | − | 0.200196i | \(-0.935842\pi\) |
0.493159 | + | 0.869939i | \(0.335842\pi\) | |||||||
\(72\) | 4.46423 | − | 5.30524i | 0.526114 | − | 0.625228i | ||||
\(73\) | −9.62677 | − | 3.12793i | −1.12673 | − | 0.366096i | −0.314397 | − | 0.949292i | \(-0.601802\pi\) |
−0.812332 | + | 0.583195i | \(0.801802\pi\) | |||||||
\(74\) | 2.24778 | − | 9.46456i | 0.261300 | − | 1.10023i | ||||
\(75\) | −1.38521 | − | 1.90658i | −0.159951 | − | 0.220153i | ||||
\(76\) | 7.28904 | + | 14.1343i | 0.836110 | + | 1.62131i | ||||
\(77\) | −1.10487 | + | 5.28646i | −0.125912 | + | 0.602449i | ||||
\(78\) | 3.18178 | + | 1.93911i | 0.360266 | + | 0.219561i | ||||
\(79\) | 4.85779 | − | 3.52939i | 0.546544 | − | 0.397088i | −0.279966 | − | 0.960010i | \(-0.590323\pi\) |
0.826510 | + | 0.562923i | \(0.190323\pi\) | |||||||
\(80\) | 5.14572 | + | 1.61649i | 0.575309 | + | 0.180729i | ||||
\(81\) | 1.34841 | − | 4.14999i | 0.149824 | − | 0.461110i | ||||
\(82\) | −7.55242 | + | 3.14997i | −0.834025 | + | 0.347856i | ||||
\(83\) | 2.92211 | + | 2.12304i | 0.320744 | + | 0.233034i | 0.736493 | − | 0.676446i | \(-0.236481\pi\) |
−0.415749 | + | 0.909479i | \(0.636481\pi\) | |||||||
\(84\) | −0.388993 | − | 2.38062i | −0.0424426 | − | 0.259746i | ||||
\(85\) | −0.0897250 | + | 0.0291534i | −0.00973205 | + | 0.00316213i | ||||
\(86\) | −2.67138 | + | 0.216814i | −0.288062 | + | 0.0233797i | ||||
\(87\) | 2.91552 | 0.312576 | ||||||||
\(88\) | 8.80862 | − | 3.22617i | 0.939002 | − | 0.343911i | ||||
\(89\) | −5.39711 | −0.572093 | −0.286046 | − | 0.958216i | \(-0.592341\pi\) | ||||
−0.286046 | + | 0.958216i | \(0.592341\pi\) | |||||||
\(90\) | 4.65936 | − | 0.378163i | 0.491140 | − | 0.0398619i | ||||
\(91\) | −5.50899 | + | 1.78998i | −0.577499 | + | 0.187641i | ||||
\(92\) | −1.71256 | − | 10.4808i | −0.178547 | − | 1.09269i | ||||
\(93\) | −2.21345 | − | 1.60816i | −0.229524 | − | 0.166759i | ||||
\(94\) | −12.7983 | + | 5.33792i | −1.32004 | + | 0.550565i | ||||
\(95\) | −3.31327 | + | 10.1972i | −0.339934 | + | 1.04621i | ||||
\(96\) | −3.15252 | + | 2.75986i | −0.321753 | + | 0.281677i | ||||
\(97\) | −5.92705 | + | 4.30625i | −0.601801 | + | 0.437234i | −0.846518 | − | 0.532361i | \(-0.821305\pi\) |
0.244717 | + | 0.969595i | \(0.421305\pi\) | |||||||
\(98\) | −5.25122 | − | 3.20032i | −0.530454 | − | 0.323281i | ||||
\(99\) | 6.02348 | − | 5.46083i | 0.605383 | − | 0.548834i | ||||
\(100\) | −2.91668 | − | 5.65578i | −0.291668 | − | 0.565578i | ||||
\(101\) | −5.62667 | − | 7.74445i | −0.559875 | − | 0.770602i | 0.431436 | − | 0.902144i | \(-0.358007\pi\) |
−0.991311 | + | 0.131542i | \(0.958007\pi\) | |||||||
\(102\) | 0.0169343 | − | 0.0713037i | 0.00167674 | − | 0.00706012i | ||||
\(103\) | −9.81631 | − | 3.18951i | −0.967230 | − | 0.314272i | −0.217533 | − | 0.976053i | \(-0.569801\pi\) |
−0.749697 | + | 0.661781i | \(0.769801\pi\) | |||||||
\(104\) | 7.69845 | + | 6.47806i | 0.754895 | + | 0.635226i | ||||
\(105\) | 0.955923 | − | 1.31571i | 0.0932885 | − | 0.128401i | ||||
\(106\) | −4.17195 | + | 3.58086i | −0.405216 | + | 0.347804i | ||||
\(107\) | −3.42303 | − | 10.5350i | −0.330917 | − | 1.01846i | −0.968699 | − | 0.248240i | \(-0.920148\pi\) |
0.637782 | − | 0.770217i | \(-0.279852\pi\) | |||||||
\(108\) | −3.63095 | + | 7.21311i | −0.349388 | + | 0.694081i | ||||
\(109\) | 8.95933i | 0.858149i | 0.903269 | + | 0.429074i | \(0.141160\pi\) | ||||
−0.903269 | + | 0.429074i | \(0.858840\pi\) | |||||||
\(110\) | 5.72434 | + | 2.68938i | 0.545795 | + | 0.256422i | ||||
\(111\) | 5.09482i | 0.483579i | ||||||||
\(112\) | −0.0636912 | − | 6.51317i | −0.00601825 | − | 0.615436i | ||||
\(113\) | 3.40631 | + | 10.4836i | 0.320439 | + | 0.986210i | 0.973457 | + | 0.228868i | \(0.0735025\pi\) |
−0.653018 | + | 0.757342i | \(0.726498\pi\) | |||||||
\(114\) | −5.42474 | − | 6.32020i | −0.508073 | − | 0.591941i | ||||
\(115\) | 4.20849 | − | 5.79249i | 0.392444 | − | 0.540153i | ||||
\(116\) | 7.78160 | + | 1.19351i | 0.722503 | + | 0.110815i | ||||
\(117\) | 8.29341 | + | 2.69469i | 0.766726 | + | 0.249124i | ||||
\(118\) | 6.68929 | + | 1.58867i | 0.615799 | + | 0.146249i | ||||
\(119\) | 0.0669662 | + | 0.0921710i | 0.00613878 | + | 0.00844931i | ||||
\(120\) | −2.81770 | − | 0.200977i | −0.257219 | − | 0.0183466i | ||||
\(121\) | 10.7438 | − | 2.36026i | 0.976709 | − | 0.214569i | ||||
\(122\) | −0.990640 | + | 1.62548i | −0.0896883 | + | 0.147164i | ||||
\(123\) | 3.46723 | − | 2.51909i | 0.312630 | − | 0.227139i | ||||
\(124\) | −5.24942 | − | 5.19834i | −0.471412 | − | 0.466825i | ||||
\(125\) | 3.40921 | − | 10.4925i | 0.304929 | − | 0.938474i | ||||
\(126\) | −2.17308 | − | 5.21022i | −0.193593 | − | 0.464163i | ||||
\(127\) | 8.32668 | + | 6.04969i | 0.738874 | + | 0.536823i | 0.892358 | − | 0.451328i | \(-0.149050\pi\) |
−0.153485 | + | 0.988151i | \(0.549050\pi\) | |||||||
\(128\) | −9.54396 | + | 6.07560i | −0.843575 | + | 0.537012i | ||||
\(129\) | 1.33500 | − | 0.433767i | 0.117540 | − | 0.0381910i | ||||
\(130\) | 0.548754 | + | 6.76122i | 0.0481289 | + | 0.592998i | ||||
\(131\) | 1.86768 | 0.163180 | 0.0815901 | − | 0.996666i | \(-0.474000\pi\) | ||||
0.0815901 | + | 0.996666i | \(0.474000\pi\) | |||||||
\(132\) | −4.09812 | + | 2.70994i | −0.356696 | + | 0.235870i | ||||
\(133\) | 12.9480 | 1.12274 | ||||||||
\(134\) | −0.562072 | − | 6.92531i | −0.0485556 | − | 0.598255i | ||||
\(135\) | −5.17804 | + | 1.68245i | −0.445655 | + | 0.144802i | ||||
\(136\) | 0.0743873 | − | 0.183379i | 0.00637865 | − | 0.0157246i | ||||
\(137\) | 1.01489 | + | 0.737362i | 0.0867080 | + | 0.0629971i | 0.630295 | − | 0.776356i | \(-0.282934\pi\) |
−0.543587 | + | 0.839353i | \(0.682934\pi\) | |||||||
\(138\) | 2.14102 | + | 5.13336i | 0.182256 | + | 0.436980i | ||||
\(139\) | 1.94407 | − | 5.98323i | 0.164894 | − | 0.507491i | −0.834135 | − | 0.551561i | \(-0.814032\pi\) |
0.999028 | + | 0.0440698i | \(0.0140324\pi\) | |||||||
\(140\) | 3.08999 | − | 3.12036i | 0.261152 | − | 0.263718i | ||||
\(141\) | 5.87556 | − | 4.26884i | 0.494811 | − | 0.359501i | ||||
\(142\) | 5.13384 | − | 8.42382i | 0.430822 | − | 0.706912i | ||||
\(143\) | 7.92422 | + | 8.74070i | 0.662657 | + | 0.730934i | ||||
\(144\) | −5.68574 | + | 7.98888i | −0.473812 | + | 0.665740i | ||||
\(145\) | 3.11982 | + | 4.29407i | 0.259087 | + | 0.356603i | ||||
\(146\) | 13.9275 | + | 3.30772i | 1.15265 | + | 0.273749i | ||||
\(147\) | 3.06313 | + | 0.995271i | 0.252643 | + | 0.0820886i | ||||
\(148\) | −2.08564 | + | 13.5982i | −0.171439 | + | 1.11777i | ||||
\(149\) | −10.0839 | + | 13.8792i | −0.826102 | + | 1.13703i | 0.162534 | + | 0.986703i | \(0.448033\pi\) |
−0.988636 | + | 0.150329i | \(0.951967\pi\) | |||||||
\(150\) | 2.17069 | + | 2.52900i | 0.177236 | + | 0.206492i | ||||
\(151\) | −3.75712 | − | 11.5632i | −0.305750 | − | 0.941002i | −0.979396 | − | 0.201948i | \(-0.935273\pi\) |
0.673646 | − | 0.739054i | \(-0.264727\pi\) | |||||||
\(152\) | −11.8915 | − | 19.0895i | −0.964528 | − | 1.54836i | ||||
\(153\) | − | 0.171513i | − | 0.0138660i | ||||||
\(154\) | 0.952608 | − | 7.57809i | 0.0767633 | − | 0.610660i | ||||
\(155\) | − | 4.98089i | − | 0.400074i | ||||||
\(156\) | −4.70681 | − | 2.36932i | −0.376846 | − | 0.189698i | ||||
\(157\) | −1.63833 | − | 5.04225i | −0.130753 | − | 0.402415i | 0.864153 | − | 0.503230i | \(-0.167855\pi\) |
−0.994905 | + | 0.100815i | \(0.967855\pi\) | |||||||
\(158\) | −6.44366 | + | 5.53071i | −0.512630 | + | 0.439999i | ||||
\(159\) | 1.69252 | − | 2.32956i | 0.134226 | − | 0.184746i | ||||
\(160\) | −7.43824 | − | 1.68988i | −0.588044 | − | 0.133597i | ||||
\(161\) | −8.22325 | − | 2.67190i | −0.648083 | − | 0.210575i | ||||
\(162\) | −1.42592 | + | 6.00400i | −0.112031 | + | 0.471719i | ||||
\(163\) | 5.91168 | + | 8.13673i | 0.463039 | + | 0.637318i | 0.975135 | − | 0.221610i | \(-0.0711311\pi\) |
−0.512097 | + | 0.858928i | \(0.671131\pi\) | |||||||
\(164\) | 10.2854 | − | 5.30415i | 0.803152 | − | 0.414185i | ||||
\(165\) | −3.24238 | − | 0.677657i | −0.252419 | − | 0.0527555i | ||||
\(166\) | −4.36183 | − | 2.65829i | −0.338544 | − | 0.206323i | ||||
\(167\) | −17.7237 | + | 12.8770i | −1.37150 | + | 0.996451i | −0.373879 | + | 0.927478i | \(0.621972\pi\) |
−0.997618 | + | 0.0689735i | \(0.978028\pi\) | |||||||
\(168\) | 0.820669 | + | 3.31116i | 0.0633160 | + | 0.255462i | ||||
\(169\) | 0.106946 | − | 0.329146i | 0.00822661 | − | 0.0253189i | ||||
\(170\) | 0.123139 | − | 0.0513590i | 0.00944435 | − | 0.00393905i | ||||
\(171\) | −15.7697 | − | 11.4573i | −1.20594 | − | 0.876165i | ||||
\(172\) | 3.74071 | − | 0.611233i | 0.285226 | − | 0.0466061i | ||||
\(173\) | −11.2531 | + | 3.65635i | −0.855557 | + | 0.277987i | −0.703772 | − | 0.710426i | \(-0.748502\pi\) |
−0.151785 | + | 0.988413i | \(0.548502\pi\) | |||||||
\(174\) | −4.10965 | + | 0.333547i | −0.311552 | + | 0.0252862i | ||||
\(175\) | −5.18111 | −0.391655 | ||||||||
\(176\) | −12.0474 | + | 5.55528i | −0.908104 | + | 0.418745i | ||||
\(177\) | −3.60087 | −0.270658 | ||||||||
\(178\) | 7.60765 | − | 0.617452i | 0.570218 | − | 0.0462800i | ||||
\(179\) | 0.887979 | − | 0.288522i | 0.0663707 | − | 0.0215651i | −0.275643 | − | 0.961260i | \(-0.588891\pi\) |
0.342014 | + | 0.939695i | \(0.388891\pi\) | |||||||
\(180\) | −6.52448 | + | 1.06610i | −0.486306 | + | 0.0794625i | ||||
\(181\) | −15.2414 | − | 11.0736i | −1.13289 | − | 0.823091i | −0.146775 | − | 0.989170i | \(-0.546889\pi\) |
−0.986113 | + | 0.166079i | \(0.946889\pi\) | |||||||
\(182\) | 7.56057 | − | 3.15337i | 0.560427 | − | 0.233743i | ||||
\(183\) | 0.308080 | − | 0.948172i | 0.0227739 | − | 0.0700909i | ||||
\(184\) | 3.61303 | + | 14.5775i | 0.266356 | + | 1.07467i | ||||
\(185\) | −7.50380 | + | 5.45183i | −0.551691 | + | 0.400827i | ||||
\(186\) | 3.30401 | + | 2.01361i | 0.242262 | + | 0.147645i | ||||
\(187\) | 0.115340 | − | 0.201355i | 0.00843447 | − | 0.0147245i | ||||
\(188\) | 17.4295 | − | 8.98840i | 1.27118 | − | 0.655547i | ||||
\(189\) | 3.86463 | + | 5.31920i | 0.281110 | + | 0.386915i | ||||
\(190\) | 3.50371 | − | 14.7528i | 0.254186 | − | 1.07028i | ||||
\(191\) | 19.4435 | + | 6.31757i | 1.40688 | + | 0.457124i | 0.911410 | − | 0.411500i | \(-0.134995\pi\) |
0.495472 | + | 0.868624i | \(0.334995\pi\) | |||||||
\(192\) | 4.12799 | − | 4.25090i | 0.297912 | − | 0.306782i | ||||
\(193\) | 10.1927 | − | 14.0291i | 0.733690 | − | 1.00984i | −0.265267 | − | 0.964175i | \(-0.585460\pi\) |
0.998957 | − | 0.0456628i | \(-0.0145400\pi\) | |||||||
\(194\) | 7.86199 | − | 6.74808i | 0.564458 | − | 0.484484i | ||||
\(195\) | −1.09786 | − | 3.37886i | −0.0786192 | − | 0.241965i | ||||
\(196\) | 7.76814 | + | 3.91034i | 0.554867 | + | 0.279310i | ||||
\(197\) | 3.49133i | 0.248747i | 0.992235 | + | 0.124374i | \(0.0396921\pi\) | ||||
−0.992235 | + | 0.124374i | \(0.960308\pi\) | |||||||
\(198\) | −7.86583 | + | 8.38657i | −0.559000 | + | 0.596008i | ||||
\(199\) | 11.2660i | 0.798625i | 0.916815 | + | 0.399313i | \(0.130751\pi\) | ||||
−0.916815 | + | 0.399313i | \(0.869249\pi\) | |||||||
\(200\) | 4.75834 | + | 7.63859i | 0.336465 | + | 0.540130i | ||||
\(201\) | 1.12450 | + | 3.46086i | 0.0793162 | + | 0.244110i | ||||
\(202\) | 8.81724 | + | 10.2727i | 0.620379 | + | 0.722785i | ||||
\(203\) | 3.76755 | − | 5.18559i | 0.264430 | − | 0.363957i | ||||
\(204\) | −0.0157127 | + | 0.102446i | −0.00110011 | + | 0.00717262i | ||||
\(205\) | 7.42039 | + | 2.41103i | 0.518262 | + | 0.168394i | ||||
\(206\) | 14.2018 | + | 3.37284i | 0.989483 | + | 0.234997i | ||||
\(207\) | 7.65098 | + | 10.5307i | 0.531780 | + | 0.731932i | ||||
\(208\) | −11.5927 | − | 8.25060i | −0.803808 | − | 0.572076i | ||||
\(209\) | −10.8086 | − | 24.0556i | −0.747643 | − | 1.66396i | ||||
\(210\) | −1.19693 | + | 1.96397i | −0.0825957 | + | 0.135526i | ||||
\(211\) | −2.21909 | + | 1.61227i | −0.152769 | + | 0.110993i | −0.661544 | − | 0.749906i | \(-0.730098\pi\) |
0.508775 | + | 0.860899i | \(0.330098\pi\) | |||||||
\(212\) | 5.47103 | − | 5.52479i | 0.375752 | − | 0.379444i | ||||
\(213\) | −1.59658 | + | 4.91376i | −0.109396 | + | 0.336685i | ||||
\(214\) | 6.03028 | + | 14.4583i | 0.412221 | + | 0.988349i | ||||
\(215\) | 2.06741 | + | 1.50206i | 0.140996 | + | 0.102440i | ||||
\(216\) | 4.29290 | − | 10.5828i | 0.292095 | − | 0.720071i | ||||
\(217\) | −5.72061 | + | 1.85874i | −0.388341 | + | 0.126180i | ||||
\(218\) | −1.02499 | − | 12.6289i | −0.0694207 | − | 0.855336i | ||||
\(219\) | −7.49726 | −0.506618 | ||||||||
\(220\) | −8.37659 | − | 3.13600i | −0.564749 | − | 0.211429i | ||||
\(221\) | 0.248884 | 0.0167417 | ||||||||
\(222\) | −0.582868 | − | 7.18154i | −0.0391196 | − | 0.481994i | ||||
\(223\) | −22.5646 | + | 7.33167i | −1.51103 | + | 0.490965i | −0.943213 | − | 0.332187i | \(-0.892213\pi\) |
−0.567821 | + | 0.823152i | \(0.692213\pi\) | |||||||
\(224\) | 0.834911 | + | 9.17353i | 0.0557848 | + | 0.612932i | ||||
\(225\) | 6.31018 | + | 4.58462i | 0.420679 | + | 0.305641i | ||||
\(226\) | −6.00083 | − | 14.3877i | −0.399169 | − | 0.957056i | ||||
\(227\) | 0.247473 | − | 0.761643i | 0.0164254 | − | 0.0505520i | −0.942508 | − | 0.334184i | \(-0.891539\pi\) |
0.958933 | + | 0.283632i | \(0.0915394\pi\) | |||||||
\(228\) | 8.36965 | + | 8.28820i | 0.554294 | + | 0.548900i | ||||
\(229\) | 19.0839 | − | 13.8652i | 1.26110 | − | 0.916241i | 0.262286 | − | 0.964990i | \(-0.415524\pi\) |
0.998811 | + | 0.0487497i | \(0.0155237\pi\) | |||||||
\(230\) | −5.26951 | + | 8.64644i | −0.347461 | + | 0.570129i | ||||
\(231\) | 0.431676 | + | 3.97680i | 0.0284022 | + | 0.261654i | ||||
\(232\) | −11.1053 | − | 0.792103i | −0.729100 | − | 0.0520041i | ||||
\(233\) | 10.2812 | + | 14.1509i | 0.673547 | + | 0.927058i | 0.999834 | − | 0.0182127i | \(-0.00579761\pi\) |
−0.326287 | + | 0.945271i | \(0.605798\pi\) | |||||||
\(234\) | −11.9985 | − | 2.84958i | −0.784366 | − | 0.186283i | ||||
\(235\) | 12.5746 | + | 4.08572i | 0.820274 | + | 0.266523i | ||||
\(236\) | −9.61083 | − | 1.47407i | −0.625611 | − | 0.0959540i | ||||
\(237\) | 2.61413 | − | 3.59805i | 0.169806 | − | 0.233718i | ||||
\(238\) | −0.104939 | − | 0.122261i | −0.00680217 | − | 0.00792501i | ||||
\(239\) | −2.06577 | − | 6.35778i | −0.133623 | − | 0.411251i | 0.861750 | − | 0.507333i | \(-0.169369\pi\) |
−0.995373 | + | 0.0960826i | \(0.969369\pi\) | |||||||
\(240\) | 3.99476 | − | 0.0390641i | 0.257861 | − | 0.00252158i | ||||
\(241\) | − | 4.28655i | − | 0.276121i | −0.990424 | − | 0.138061i | \(-0.955913\pi\) | ||
0.990424 | − | 0.138061i | \(-0.0440868\pi\) | |||||||
\(242\) | −14.8742 | + | 4.55610i | −0.956150 | + | 0.292877i | ||||
\(243\) | − | 15.3451i | − | 0.984391i | ||||||
\(244\) | 1.21042 | − | 2.40458i | 0.0774894 | − | 0.153937i | ||||
\(245\) | 1.81191 | + | 5.57648i | 0.115759 | + | 0.356268i | ||||
\(246\) | −4.59914 | + | 3.94752i | −0.293230 | + | 0.251685i | ||||
\(247\) | 16.6258 | − | 22.8834i | 1.05787 | − | 1.45604i | ||||
\(248\) | 7.99418 | + | 6.72691i | 0.507631 | + | 0.427159i | ||||
\(249\) | 2.54433 | + | 0.826703i | 0.161240 | + | 0.0523902i | ||||
\(250\) | −3.60516 | + | 15.1800i | −0.228011 | + | 0.960066i | ||||
\(251\) | −2.87878 | − | 3.96230i | −0.181707 | − | 0.250098i | 0.708441 | − | 0.705770i | \(-0.249399\pi\) |
−0.890148 | + | 0.455672i | \(0.849399\pi\) | |||||||
\(252\) | 3.65920 | + | 7.09560i | 0.230508 | + | 0.446981i | ||||
\(253\) | 1.90047 | + | 17.5080i | 0.119482 | + | 1.10072i | ||||
\(254\) | −12.4292 | − | 7.57491i | −0.779879 | − | 0.475292i | ||||
\(255\) | −0.0565318 | + | 0.0410728i | −0.00354016 | + | 0.00257208i | ||||
\(256\) | 12.7579 | − | 9.65590i | 0.797368 | − | 0.603494i | ||||
\(257\) | −3.82696 | + | 11.7782i | −0.238719 | + | 0.734702i | 0.757887 | + | 0.652386i | \(0.226232\pi\) |
−0.996606 | + | 0.0823161i | \(0.973768\pi\) | |||||||
\(258\) | −1.83216 | + | 0.764157i | −0.114065 | + | 0.0475744i | ||||
\(259\) | 9.06173 | + | 6.58373i | 0.563068 | + | 0.409093i | ||||
\(260\) | −1.54702 | − | 9.46769i | −0.0959423 | − | 0.587161i | ||||
\(261\) | −9.17716 | + | 2.98184i | −0.568052 | + | 0.184571i | ||||
\(262\) | −2.63265 | + | 0.213671i | −0.162645 | + | 0.0132006i | ||||
\(263\) | −16.9489 | −1.04511 | −0.522556 | − | 0.852605i | \(-0.675021\pi\) | ||||
−0.522556 | + | 0.852605i | \(0.675021\pi\) | |||||||
\(264\) | 5.46660 | − | 4.28872i | 0.336446 | − | 0.263953i | ||||
\(265\) | 5.24217 | 0.322024 | ||||||||
\(266\) | −18.2513 | + | 1.48131i | −1.11906 | + | 0.0908249i | ||||
\(267\) | −3.80186 | + | 1.23530i | −0.232670 | + | 0.0755990i | ||||
\(268\) | 1.58457 | + | 9.69746i | 0.0967929 | + | 0.592367i | ||||
\(269\) | −3.19947 | − | 2.32455i | −0.195075 | − | 0.141730i | 0.485960 | − | 0.873981i | \(-0.338470\pi\) |
−0.681035 | + | 0.732251i | \(0.738470\pi\) | |||||||
\(270\) | 7.10638 | − | 2.96393i | 0.432480 | − | 0.180379i | ||||
\(271\) | 7.33528 | − | 22.5757i | 0.445587 | − | 1.37137i | −0.436252 | − | 0.899824i | \(-0.643695\pi\) |
0.881839 | − | 0.471550i | \(-0.156305\pi\) | |||||||
\(272\) | −0.0838753 | + | 0.266998i | −0.00508569 | + | 0.0161891i | ||||
\(273\) | −3.47097 | + | 2.52181i | −0.210073 | + | 0.152627i | ||||
\(274\) | −1.51493 | − | 0.923261i | −0.0915200 | − | 0.0557763i | ||||
\(275\) | 4.32500 | + | 9.62576i | 0.260807 | + | 0.580455i | ||||
\(276\) | −3.60522 | − | 6.99093i | −0.217009 | − | 0.420804i | ||||
\(277\) | −8.82329 | − | 12.1442i | −0.530140 | − | 0.729675i | 0.457012 | − | 0.889461i | \(-0.348920\pi\) |
−0.987152 | + | 0.159786i | \(0.948920\pi\) | |||||||
\(278\) | −2.05581 | + | 8.65625i | −0.123299 | + | 0.519167i | ||||
\(279\) | 8.61200 | + | 2.79821i | 0.515587 | + | 0.167524i | ||||
\(280\) | −3.99860 | + | 4.75189i | −0.238962 | + | 0.283980i | ||||
\(281\) | 3.37468 | − | 4.64485i | 0.201317 | − | 0.277089i | −0.696408 | − | 0.717647i | \(-0.745219\pi\) |
0.897724 | + | 0.440558i | \(0.145219\pi\) | |||||||
\(282\) | −7.79369 | + | 6.68946i | −0.464107 | + | 0.398351i | ||||
\(283\) | 3.45938 | + | 10.6469i | 0.205639 | + | 0.632890i | 0.999687 | + | 0.0250353i | \(0.00796982\pi\) |
−0.794048 | + | 0.607855i | \(0.792030\pi\) | |||||||
\(284\) | −6.27283 | + | 12.4614i | −0.372224 | + | 0.739447i | ||||
\(285\) | 7.94150i | 0.470414i | ||||||||
\(286\) | −12.1698 | − | 11.4141i | −0.719614 | − | 0.674932i | ||||
\(287\) | − | 9.42215i | − | 0.556172i | ||||||
\(288\) | 7.10054 | − | 11.9114i | 0.418403 | − | 0.701887i | ||||
\(289\) | 5.25178 | + | 16.1633i | 0.308928 | + | 0.950783i | ||||
\(290\) | −4.88889 | − | 5.69590i | −0.287086 | − | 0.334475i | ||||
\(291\) | −3.18954 | + | 4.39002i | −0.186974 | + | 0.257348i | ||||
\(292\) | −20.0104 | − | 3.06912i | −1.17102 | − | 0.179607i | ||||
\(293\) | 5.04336 | + | 1.63869i | 0.294636 | + | 0.0957331i | 0.452605 | − | 0.891711i | \(-0.350495\pi\) |
−0.157969 | + | 0.987444i | \(0.550495\pi\) | |||||||
\(294\) | −4.43158 | − | 1.05248i | −0.258455 | − | 0.0613818i | ||||
\(295\) | −3.85320 | − | 5.30348i | −0.224342 | − | 0.308780i | ||||
\(296\) | 1.38419 | − | 19.4063i | 0.0804542 | − | 1.12797i | ||||
\(297\) | 6.65627 | − | 11.6202i | 0.386236 | − | 0.674272i | ||||
\(298\) | 12.6261 | − | 20.7175i | 0.731413 | − | 1.20013i | ||||
\(299\) | −15.2811 | + | 11.1024i | −0.883729 | + | 0.642066i | ||||
\(300\) | −3.34908 | − | 3.31649i | −0.193360 | − | 0.191478i | ||||
\(301\) | 0.953632 | − | 2.93498i | 0.0549664 | − | 0.169169i | ||||
\(302\) | 6.61883 | + | 15.8694i | 0.380871 | + | 0.913184i | ||||
\(303\) | −5.73613 | − | 4.16754i | −0.329532 | − | 0.239419i | ||||
\(304\) | 18.9459 | + | 25.5477i | 1.08662 | + | 1.46526i | ||||
\(305\) | 1.72617 | − | 0.560865i | 0.0988400 | − | 0.0321150i | ||||
\(306\) | 0.0196218 | + | 0.241762i | 0.00112171 | + | 0.0138206i | ||||
\(307\) | −2.27014 | −0.129564 | −0.0647820 | − | 0.997899i | \(-0.520635\pi\) | ||||
−0.0647820 | + | 0.997899i | \(0.520635\pi\) | |||||||
\(308\) | −0.475811 | + | 10.7909i | −0.0271119 | + | 0.614868i | ||||
\(309\) | −7.64487 | −0.434901 | ||||||||
\(310\) | 0.569834 | + | 7.02095i | 0.0323644 | + | 0.398763i | ||||
\(311\) | 19.1795 | − | 6.23180i | 1.08757 | − | 0.353373i | 0.290263 | − | 0.956947i | \(-0.406257\pi\) |
0.797307 | + | 0.603574i | \(0.206257\pi\) | |||||||
\(312\) | 6.90568 | + | 2.80127i | 0.390957 | + | 0.158591i | ||||
\(313\) | −1.24741 | − | 0.906296i | −0.0705078 | − | 0.0512269i | 0.551973 | − | 0.833862i | \(-0.313875\pi\) |
−0.622481 | + | 0.782635i | \(0.713875\pi\) | |||||||
\(314\) | 2.88620 | + | 6.92001i | 0.162878 | + | 0.390519i | ||||
\(315\) | −1.66331 | + | 5.11913i | −0.0937168 | + | 0.288431i | ||||
\(316\) | 8.45011 | − | 8.53314i | 0.475356 | − | 0.480027i | ||||
\(317\) | 13.6418 | − | 9.91136i | 0.766201 | − | 0.556678i | −0.134605 | − | 0.990899i | \(-0.542977\pi\) |
0.900806 | + | 0.434222i | \(0.142977\pi\) | |||||||
\(318\) | −2.11923 | + | 3.47732i | −0.118841 | + | 0.194999i | ||||
\(319\) | −12.7791 | − | 2.67083i | −0.715492 | − | 0.149538i | ||||
\(320\) | 10.6781 | + | 1.53105i | 0.596924 | + | 0.0855885i | ||||
\(321\) | −4.82253 | − | 6.63765i | −0.269167 | − | 0.370477i | ||||
\(322\) | 11.8970 | + | 2.82547i | 0.662994 | + | 0.157458i | ||||
\(323\) | −0.529105 | − | 0.171917i | −0.0294402 | − | 0.00956569i | ||||
\(324\) | 1.32306 | − | 8.62625i | 0.0735035 | − | 0.479236i | ||||
\(325\) | −6.65275 | + | 9.15673i | −0.369028 | + | 0.507924i | ||||
\(326\) | −9.26386 | − | 10.7930i | −0.513077 | − | 0.597771i | ||||
\(327\) | 2.05062 | + | 6.31117i | 0.113400 | + | 0.349009i | ||||
\(328\) | −13.8912 | + | 8.65331i | −0.767014 | + | 0.477799i | ||||
\(329\) | − | 15.9667i | − | 0.880275i | ||||||
\(330\) | 4.64791 | + | 0.584269i | 0.255859 | + | 0.0321629i | ||||
\(331\) | 33.9735i | 1.86735i | 0.358115 | + | 0.933677i | \(0.383419\pi\) | ||||
−0.358115 | + | 0.933677i | \(0.616581\pi\) | |||||||
\(332\) | 6.45246 | + | 3.24805i | 0.354125 | + | 0.178260i | ||||
\(333\) | −5.21071 | − | 16.0369i | −0.285545 | − | 0.878818i | ||||
\(334\) | 23.5097 | − | 20.1788i | 1.28639 | − | 1.10413i | ||||
\(335\) | −3.89396 | + | 5.35958i | −0.212750 | + | 0.292825i | ||||
\(336\) | −1.53561 | − | 4.57345i | −0.0837743 | − | 0.249502i | ||||
\(337\) | −16.2590 | − | 5.28286i | −0.885683 | − | 0.287776i | −0.169368 | − | 0.985553i | \(-0.554173\pi\) |
−0.716315 | + | 0.697777i | \(0.754173\pi\) | |||||||
\(338\) | −0.113093 | + | 0.476192i | −0.00615145 | + | 0.0259014i | ||||
\(339\) | 4.79898 | + | 6.60523i | 0.260645 | + | 0.358747i | ||||
\(340\) | −0.167699 | + | 0.0864821i | −0.00909474 | + | 0.00469015i | ||||
\(341\) | 8.22863 | + | 9.07647i | 0.445605 | + | 0.491518i | ||||
\(342\) | 23.5394 | + | 14.3459i | 1.27286 | + | 0.775738i | ||||
\(343\) | 14.9502 | − | 10.8619i | 0.807232 | − | 0.586489i | ||||
\(344\) | −5.20290 | + | 1.28953i | −0.280521 | + | 0.0695270i | ||||
\(345\) | 1.63877 | − | 5.04362i | 0.0882284 | − | 0.271539i | ||||
\(346\) | 15.4438 | − | 6.44132i | 0.830265 | − | 0.346287i | ||||
\(347\) | −2.02180 | − | 1.46893i | −0.108536 | − | 0.0788561i | 0.532193 | − | 0.846623i | \(-0.321368\pi\) |
−0.640729 | + | 0.767767i | \(0.721368\pi\) | |||||||
\(348\) | 5.75472 | − | 0.940323i | 0.308485 | − | 0.0504066i | ||||
\(349\) | −6.66811 | + | 2.16660i | −0.356936 | + | 0.115975i | −0.481995 | − | 0.876174i | \(-0.660088\pi\) |
0.125060 | + | 0.992149i | \(0.460088\pi\) | |||||||
\(350\) | 7.30318 | − | 0.592741i | 0.390372 | − | 0.0316833i | ||||
\(351\) | 14.3631 | 0.766646 | ||||||||
\(352\) | 16.3462 | − | 9.20887i | 0.871253 | − | 0.490835i | ||||
\(353\) | 17.9431 | 0.955017 | 0.477509 | − | 0.878627i | \(-0.341540\pi\) | ||||
0.477509 | + | 0.878627i | \(0.341540\pi\) | |||||||
\(354\) | 5.07571 | − | 0.411955i | 0.269771 | − | 0.0218952i | ||||
\(355\) | −8.94560 | + | 2.90660i | −0.474783 | + | 0.154266i | ||||
\(356\) | −10.6529 | + | 1.74069i | −0.564605 | + | 0.0922566i | ||||
\(357\) | 0.0682688 | + | 0.0496002i | 0.00361317 | + | 0.00262512i | ||||
\(358\) | −1.21867 | + | 0.508283i | −0.0644086 | + | 0.0268636i | ||||
\(359\) | −2.99112 | + | 9.20572i | −0.157865 | + | 0.485859i | −0.998440 | − | 0.0558363i | \(-0.982217\pi\) |
0.840575 | + | 0.541696i | \(0.182217\pi\) | |||||||
\(360\) | 9.07480 | − | 2.24918i | 0.478284 | − | 0.118542i | ||||
\(361\) | −35.7804 | + | 25.9960i | −1.88318 | + | 1.36821i | ||||
\(362\) | 22.7509 | + | 13.8654i | 1.19576 | + | 0.728748i | ||||
\(363\) | 7.02797 | − | 4.12168i | 0.368873 | − | 0.216332i | ||||
\(364\) | −10.2965 | + | 5.30988i | −0.539681 | + | 0.278313i | ||||
\(365\) | −8.02262 | − | 11.0422i | −0.419923 | − | 0.577975i | ||||
\(366\) | −0.325788 | + | 1.37177i | −0.0170292 | + | 0.0717035i | ||||
\(367\) | −29.4325 | − | 9.56319i | −1.53636 | − | 0.499194i | −0.585992 | − | 0.810317i | \(-0.699295\pi\) |
−0.950370 | + | 0.311122i | \(0.899295\pi\) | |||||||
\(368\) | −6.76058 | − | 20.1348i | −0.352419 | − | 1.04960i | ||||
\(369\) | −8.33739 | + | 11.4754i | −0.434027 | + | 0.597387i | ||||
\(370\) | 9.95349 | − | 8.54325i | 0.517457 | − | 0.444143i | ||||
\(371\) | −1.95624 | − | 6.02070i | −0.101563 | − | 0.312579i | ||||
\(372\) | −4.88762 | − | 2.46034i | −0.253411 | − | 0.127563i | ||||
\(373\) | − | 4.92658i | − | 0.255088i | −0.991833 | − | 0.127544i | \(-0.959291\pi\) | ||
0.991833 | − | 0.127544i | \(-0.0407095\pi\) | |||||||
\(374\) | −0.139544 | + | 0.297020i | −0.00721567 | + | 0.0153586i | ||||
\(375\) | − | 8.17145i | − | 0.421972i | ||||||
\(376\) | −23.5400 | + | 14.6639i | −1.21398 | + | 0.756231i | ||||
\(377\) | −4.32696 | − | 13.3170i | −0.222850 | − | 0.685861i | ||||
\(378\) | −6.05603 | − | 7.05570i | −0.311489 | − | 0.362906i | ||||
\(379\) | −2.36592 | + | 3.25642i | −0.121529 | + | 0.167271i | −0.865447 | − | 0.501000i | \(-0.832965\pi\) |
0.743918 | + | 0.668271i | \(0.232965\pi\) | |||||||
\(380\) | −3.25098 | + | 21.1961i | −0.166772 | + | 1.08734i | ||||
\(381\) | 7.25018 | + | 2.35573i | 0.371438 | + | 0.120688i | ||||
\(382\) | −28.1299 | − | 6.68070i | −1.43925 | − | 0.341814i | ||||
\(383\) | −7.04690 | − | 9.69922i | −0.360080 | − | 0.495607i | 0.590091 | − | 0.807337i | \(-0.299092\pi\) |
−0.950171 | + | 0.311729i | \(0.899092\pi\) | |||||||
\(384\) | −5.33240 | + | 6.46423i | −0.272118 | + | 0.329877i | ||||
\(385\) | −5.39523 | + | 4.89125i | −0.274966 | + | 0.249281i | ||||
\(386\) | −12.7625 | + | 20.9412i | −0.649594 | + | 1.06588i | ||||
\(387\) | −3.75853 | + | 2.73073i | −0.191057 | + | 0.138811i | ||||
\(388\) | −10.3101 | + | 10.4114i | −0.523415 | + | 0.528559i | ||||
\(389\) | 4.24498 | − | 13.0647i | 0.215229 | − | 0.662407i | −0.783908 | − | 0.620877i | \(-0.786777\pi\) |
0.999137 | − | 0.0415304i | \(-0.0132233\pi\) | |||||||
\(390\) | 1.93407 | + | 4.63717i | 0.0979356 | + | 0.234812i | ||||
\(391\) | 0.300556 | + | 0.218367i | 0.0151998 | + | 0.0110433i | ||||
\(392\) | −11.3972 | − | 4.62323i | −0.575644 | − | 0.233508i | ||||
\(393\) | 1.31564 | − | 0.427478i | 0.0663654 | − | 0.0215634i | ||||
\(394\) | −0.399423 | − | 4.92131i | −0.0201226 | − | 0.247932i | ||||
\(395\) | 8.09663 | 0.407386 | ||||||||
\(396\) | 10.1280 | − | 12.7214i | 0.508954 | − | 0.639275i | ||||
\(397\) | −12.1547 | −0.610027 | −0.305014 | − | 0.952348i | \(-0.598661\pi\) | ||||
−0.305014 | + | 0.952348i | \(0.598661\pi\) | |||||||
\(398\) | −1.28888 | − | 15.8803i | −0.0646056 | − | 0.796008i | ||||
\(399\) | 9.12092 | − | 2.96357i | 0.456617 | − | 0.148364i | ||||
\(400\) | −7.58114 | − | 10.2228i | −0.379057 | − | 0.511141i | ||||
\(401\) | 23.2839 | + | 16.9167i | 1.16274 | + | 0.844782i | 0.990122 | − | 0.140207i | \(-0.0447768\pi\) |
0.172620 | + | 0.984989i | \(0.444777\pi\) | |||||||
\(402\) | −1.98101 | − | 4.74971i | −0.0988038 | − | 0.236894i | ||||
\(403\) | −4.06049 | + | 12.4969i | −0.202267 | + | 0.622515i | ||||
\(404\) | −13.6038 | − | 13.4714i | −0.676816 | − | 0.670230i | ||||
\(405\) | 4.76016 | − | 3.45846i | 0.236534 | − | 0.171852i | ||||
\(406\) | −4.71741 | + | 7.74052i | −0.234121 | + | 0.384156i | ||||
\(407\) | 4.66723 | − | 22.3312i | 0.231346 | − | 1.10692i | ||||
\(408\) | 0.0104281 | − | 0.146203i | 0.000516269 | − | 0.00723811i | ||||
\(409\) | 11.1416 | + | 15.3351i | 0.550917 | + | 0.758272i | 0.990136 | − | 0.140108i | \(-0.0447449\pi\) |
−0.439219 | + | 0.898380i | \(0.644745\pi\) | |||||||
\(410\) | −10.7355 | − | 2.54961i | −0.530186 | − | 0.125916i | ||||
\(411\) | 0.883682 | + | 0.287126i | 0.0435888 | + | 0.0141629i | ||||
\(412\) | −20.4044 | − | 3.12955i | −1.00525 | − | 0.154182i | ||||
\(413\) | −4.65320 | + | 6.40457i | −0.228969 | + | 0.315149i | ||||
\(414\) | −11.9894 | − | 13.9685i | −0.589248 | − | 0.686515i | ||||
\(415\) | 1.50503 | + | 4.63200i | 0.0738790 | + | 0.227376i | ||||
\(416\) | 17.2847 | + | 10.3036i | 0.847452 | + | 0.505176i | ||||
\(417\) | − | 4.65970i | − | 0.228186i | ||||||
\(418\) | 17.9876 | + | 32.6717i | 0.879800 | + | 1.59803i | ||||
\(419\) | − | 15.3705i | − | 0.750898i | −0.926843 | − | 0.375449i | \(-0.877488\pi\) | ||
0.926843 | − | 0.375449i | \(-0.122512\pi\) | |||||||
\(420\) | 1.46247 | − | 2.90530i | 0.0713614 | − | 0.141764i | ||||
\(421\) | 5.97047 | + | 18.3752i | 0.290983 | + | 0.895553i | 0.984541 | + | 0.175153i | \(0.0560419\pi\) |
−0.693558 | + | 0.720400i | \(0.743958\pi\) | |||||||
\(422\) | 2.94354 | − | 2.52649i | 0.143289 | − | 0.122988i | ||||
\(423\) | −14.1285 | + | 19.4462i | −0.686952 | + | 0.945508i | ||||
\(424\) | −7.07978 | + | 8.41353i | −0.343825 | + | 0.408597i | ||||
\(425\) | 0.211719 | + | 0.0687918i | 0.0102699 | + | 0.00333689i | ||||
\(426\) | 1.68835 | − | 7.10899i | 0.0818007 | − | 0.344432i | ||||
\(427\) | −1.28832 | − | 1.77322i | −0.0623463 | − | 0.0858123i | ||||
\(428\) | −10.1542 | − | 19.6902i | −0.490824 | − | 0.951763i | ||||
\(429\) | 7.58260 | + | 4.34345i | 0.366091 | + | 0.209704i | ||||
\(430\) | −3.08602 | − | 1.88075i | −0.148821 | − | 0.0906980i | ||||
\(431\) | 21.9276 | − | 15.9313i | 1.05621 | − | 0.767385i | 0.0828305 | − | 0.996564i | \(-0.473604\pi\) |
0.973384 | + | 0.229179i | \(0.0736040\pi\) | |||||||
\(432\) | −4.84046 | + | 15.4085i | −0.232887 | + | 0.741340i | ||||
\(433\) | 1.34612 | − | 4.14294i | 0.0646905 | − | 0.199097i | −0.913487 | − | 0.406868i | \(-0.866621\pi\) |
0.978177 | + | 0.207771i | \(0.0666209\pi\) | |||||||
\(434\) | 7.85101 | − | 3.27450i | 0.376860 | − | 0.157181i | ||||
\(435\) | 3.18051 | + | 2.31078i | 0.152494 | + | 0.110793i | ||||
\(436\) | 2.88959 | + | 17.6841i | 0.138386 | + | 0.846917i | ||||
\(437\) | 40.1552 | − | 13.0472i | 1.92088 | − | 0.624133i | ||||
\(438\) | 10.5680 | − | 0.857717i | 0.504957 | − | 0.0409833i | ||||
\(439\) | 24.0996 | 1.15021 | 0.575105 | − | 0.818080i | \(-0.304961\pi\) | ||||
0.575105 | + | 0.818080i | \(0.304961\pi\) | |||||||
\(440\) | 12.1662 | + | 3.46213i | 0.580002 | + | 0.165050i | ||||
\(441\) | −10.6597 | −0.507605 | ||||||||
\(442\) | −0.350821 | + | 0.0284733i | −0.0166869 | + | 0.00135434i | ||||
\(443\) | 21.9169 | − | 7.12124i | 1.04130 | − | 0.338340i | 0.262054 | − | 0.965053i | \(-0.415600\pi\) |
0.779250 | + | 0.626713i | \(0.215600\pi\) | |||||||
\(444\) | 1.64320 | + | 10.0563i | 0.0779827 | + | 0.477249i | ||||
\(445\) | −5.88765 | − | 4.27763i | −0.279102 | − | 0.202779i | ||||
\(446\) | 30.9677 | − | 12.9160i | 1.46637 | − | 0.611592i | ||||
\(447\) | −3.92662 | + | 12.0849i | −0.185723 | + | 0.571595i | ||||
\(448\) | −2.22636 | − | 12.8353i | −0.105186 | − | 0.606411i | ||||
\(449\) | 3.05281 | − | 2.21800i | 0.144071 | − | 0.104674i | −0.513415 | − | 0.858140i | \(-0.671620\pi\) |
0.657486 | + | 0.753467i | \(0.271620\pi\) | |||||||
\(450\) | −9.41920 | − | 5.74046i | −0.444025 | − | 0.270608i | ||||
\(451\) | −17.5050 | + | 7.86527i | −0.824278 | + | 0.370361i | ||||
\(452\) | 10.1047 | + | 19.5941i | 0.475283 | + | 0.921628i | ||||
\(453\) | −5.29321 | − | 7.28548i | −0.248697 | − | 0.342302i | ||||
\(454\) | −0.261697 | + | 1.10191i | −0.0122821 | + | 0.0517151i | ||||
\(455\) | −7.42839 | − | 2.41363i | −0.348248 | − | 0.113153i | ||||
\(456\) | −12.7459 | − | 10.7254i | −0.596881 | − | 0.502261i | ||||
\(457\) | 20.7236 | − | 28.5236i | 0.969409 | − | 1.33428i | 0.0270646 | − | 0.999634i | \(-0.491384\pi\) |
0.942345 | − | 0.334644i | \(-0.108616\pi\) | |||||||
\(458\) | −25.3140 | + | 21.7274i | −1.18284 | + | 1.01526i | ||||
\(459\) | −0.0872976 | − | 0.268674i | −0.00407470 | − | 0.0125406i | ||||
\(460\) | 6.43860 | − | 12.7907i | 0.300201 | − | 0.596369i | ||||
\(461\) | 38.5074i | 1.79347i | 0.442571 | + | 0.896734i | \(0.354067\pi\) | ||||
−0.442571 | + | 0.896734i | \(0.645933\pi\) | |||||||
\(462\) | −1.06344 | − | 5.55622i | −0.0494758 | − | 0.258499i | ||||
\(463\) | − | 10.7672i | − | 0.500394i | −0.968195 | − | 0.250197i | \(-0.919505\pi\) | ||
0.968195 | − | 0.250197i | \(-0.0804954\pi\) | |||||||
\(464\) | 15.7444 | − | 0.153962i | 0.730917 | − | 0.00714752i | ||||
\(465\) | −1.14003 | − | 3.50866i | −0.0528677 | − | 0.162710i | ||||
\(466\) | −16.1112 | − | 18.7706i | −0.746335 | − | 0.869532i | ||||
\(467\) | −12.1553 | + | 16.7304i | −0.562481 | + | 0.774189i | −0.991639 | − | 0.129040i | \(-0.958810\pi\) |
0.429158 | + | 0.903229i | \(0.358810\pi\) | |||||||
\(468\) | 17.2388 | + | 2.64403i | 0.796865 | + | 0.122220i | ||||
\(469\) | 7.60867 | + | 2.47221i | 0.351336 | + | 0.114156i | ||||
\(470\) | −18.1923 | − | 4.32057i | −0.839147 | − | 0.199293i | ||||
\(471\) | −2.30815 | − | 3.17690i | −0.106354 | − | 0.146384i | ||||
\(472\) | 13.7159 | + | 0.978304i | 0.631323 | + | 0.0450301i | ||||
\(473\) | −6.24883 | + | 0.678301i | −0.287321 | + | 0.0311883i | ||||
\(474\) | −3.27320 | + | 5.37080i | −0.150343 | + | 0.246689i | ||||
\(475\) | 20.4682 | − | 14.8710i | 0.939144 | − | 0.682328i | ||||
\(476\) | 0.161907 | + | 0.160331i | 0.00742098 | + | 0.00734877i | ||||
\(477\) | −2.94499 | + | 9.06375i | −0.134842 | + | 0.415001i | ||||
\(478\) | 3.63922 | + | 8.72546i | 0.166454 | + | 0.399093i | ||||
\(479\) | −9.23398 | − | 6.70888i | −0.421911 | − | 0.306536i | 0.356495 | − | 0.934297i | \(-0.383972\pi\) |
−0.778406 | + | 0.627761i | \(0.783972\pi\) | |||||||
\(480\) | −5.62646 | + | 0.512081i | −0.256811 | + | 0.0233732i | ||||
\(481\) | 23.2712 | − | 7.56128i | 1.06108 | − | 0.344765i | ||||
\(482\) | 0.490399 | + | 6.04223i | 0.0223371 | + | 0.275216i | ||||
\(483\) | −6.40421 | −0.291401 | ||||||||
\(484\) | 20.4451 | − | 8.12385i | 0.929324 | − | 0.369266i | ||||
\(485\) | −9.87880 | −0.448573 | ||||||||
\(486\) | 1.75555 | + | 21.6302i | 0.0796333 | + | 0.981165i | ||||
\(487\) | 3.80894 | − | 1.23760i | 0.172600 | − | 0.0560810i | −0.221442 | − | 0.975173i | \(-0.571076\pi\) |
0.394042 | + | 0.919092i | \(0.371076\pi\) | |||||||
\(488\) | −1.43109 | + | 3.52792i | −0.0647825 | + | 0.159701i | ||||
\(489\) | 6.02668 | + | 4.37864i | 0.272536 | + | 0.198009i | ||||
\(490\) | −3.19200 | − | 7.65320i | −0.144200 | − | 0.345736i | ||||
\(491\) | −3.45914 | + | 10.6461i | −0.156109 | + | 0.480454i | −0.998272 | − | 0.0587698i | \(-0.981282\pi\) |
0.842163 | + | 0.539223i | \(0.181282\pi\) | |||||||
\(492\) | 6.03124 | − | 6.09050i | 0.271909 | − | 0.274581i | ||||
\(493\) | −0.222807 | + | 0.161879i | −0.0100347 | + | 0.00729066i | ||||
\(494\) | −20.8174 | + | 34.1581i | −0.936619 | + | 1.53684i | ||||
\(495\) | 10.8991 | − | 1.18308i | 0.489877 | − | 0.0531755i | ||||
\(496\) | −12.0380 | − | 8.56754i | −0.540523 | − | 0.384694i | ||||
\(497\) | 6.67654 | + | 9.18946i | 0.299484 | + | 0.412204i | ||||
\(498\) | −3.68101 | − | 0.874221i | −0.164950 | − | 0.0391748i | ||||
\(499\) | −37.4389 | − | 12.1646i | −1.67599 | − | 0.544564i | −0.691867 | − | 0.722025i | \(-0.743211\pi\) |
−0.984128 | + | 0.177462i | \(0.943211\pi\) | |||||||
\(500\) | 3.34511 | − | 21.8098i | 0.149598 | − | 0.975365i | ||||
\(501\) | −9.53767 | + | 13.1275i | −0.426112 | + | 0.586492i | ||||
\(502\) | 4.51117 | + | 5.25583i | 0.201343 | + | 0.234579i | ||||
\(503\) | 5.97544 | + | 18.3905i | 0.266432 | + | 0.819993i | 0.991360 | + | 0.131168i | \(0.0418729\pi\) |
−0.724928 | + | 0.688824i | \(0.758127\pi\) | |||||||
\(504\) | −5.96970 | − | 9.58318i | −0.265911 | − | 0.426869i | ||||
\(505\) | − | 12.9079i | − | 0.574395i | ||||||
\(506\) | −4.68185 | − | 24.4615i | −0.208134 | − | 1.08745i | ||||
\(507\) | − | 0.256336i | − | 0.0113843i | ||||||
\(508\) | 18.3866 | + | 9.25547i | 0.815772 | + | 0.410645i | ||||
\(509\) | −13.2867 | − | 40.8921i | −0.588920 | − | 1.81251i | −0.582921 | − | 0.812529i | \(-0.698090\pi\) |
−0.00599915 | − | 0.999982i | \(-0.501910\pi\) | |||||||
\(510\) | 0.0749871 | − | 0.0643628i | 0.00332049 | − | 0.00285003i | ||||
\(511\) | −9.68826 | + | 13.3347i | −0.428583 | + | 0.589895i | ||||
\(512\) | −16.8786 | + | 15.0703i | −0.745934 | + | 0.666020i | ||||
\(513\) | −30.5347 | − | 9.92132i | −1.34814 | − | 0.438037i | ||||
\(514\) | 4.04693 | − | 17.0401i | 0.178502 | − | 0.751605i | ||||
\(515\) | −8.18058 | − | 11.2596i | −0.360479 | − | 0.496157i | ||||
\(516\) | 2.49515 | − | 1.28675i | 0.109843 | − | 0.0566458i | ||||
\(517\) | −29.6639 | + | 13.3285i | −1.30462 | + | 0.586185i | ||||
\(518\) | −13.5264 | − | 8.24359i | −0.594317 | − | 0.362202i | ||||
\(519\) | −7.09009 | + | 5.15125i | −0.311220 | + | 0.226115i | ||||
\(520\) | 3.26379 | + | 13.1685i | 0.143127 | + | 0.577475i | ||||
\(521\) | −4.55221 | + | 14.0103i | −0.199436 | + | 0.613801i | 0.800460 | + | 0.599386i | \(0.204589\pi\) |
−0.999896 | + | 0.0144150i | \(0.995411\pi\) | |||||||
\(522\) | 12.5948 | − | 5.25304i | 0.551259 | − | 0.229919i | ||||
\(523\) | 32.7270 | + | 23.7776i | 1.43105 | + | 1.03972i | 0.989819 | + | 0.142329i | \(0.0454591\pi\) |
0.441234 | + | 0.897392i | \(0.354541\pi\) | |||||||
\(524\) | 3.68648 | − | 0.602371i | 0.161045 | − | 0.0263147i | ||||
\(525\) | −3.64970 | + | 1.18586i | −0.159286 | + | 0.0517552i | ||||
\(526\) | 23.8907 | − | 1.93902i | 1.04169 | − | 0.0845453i | ||||
\(527\) | 0.258445 | 0.0112580 | ||||||||
\(528\) | −7.21495 | + | 6.67069i | −0.313991 | + | 0.290305i | ||||
\(529\) | −5.19479 | −0.225860 | ||||||||
\(530\) | −7.38925 | + | 0.599726i | −0.320968 | + | 0.0260504i | ||||
\(531\) | 11.3344 | − | 3.68278i | 0.491873 | − | 0.159819i | ||||
\(532\) | 25.5571 | − | 4.17604i | 1.10804 | − | 0.181055i | ||||
\(533\) | −16.6520 | − | 12.0984i | −0.721280 | − | 0.524040i | ||||
\(534\) | 5.21769 | − | 2.17620i | 0.225792 | − | 0.0941733i | ||||
\(535\) | 4.61566 | − | 14.2055i | 0.199552 | − | 0.614159i | ||||
\(536\) | −3.34300 | − | 13.4881i | −0.144396 | − | 0.582595i | ||||
\(537\) | 0.559477 | − | 0.406484i | 0.0241432 | − | 0.0175411i | ||||
\(538\) | 4.77584 | + | 2.91060i | 0.205901 | + | 0.125485i | ||||
\(539\) | −12.5144 | − | 7.16845i | −0.539031 | − | 0.308767i | ||||
\(540\) | −9.67791 | + | 4.99089i | −0.416471 | + | 0.214774i | ||||
\(541\) | −9.83661 | − | 13.5389i | −0.422909 | − | 0.582084i | 0.543399 | − | 0.839475i | \(-0.317137\pi\) |
−0.966307 | + | 0.257391i | \(0.917137\pi\) | |||||||
\(542\) | −7.75691 | + | 32.6614i | −0.333188 | + | 1.40293i | ||||
\(543\) | −13.2710 | − | 4.31200i | −0.569512 | − | 0.185046i | ||||
\(544\) | 0.0876832 | − | 0.385950i | 0.00375939 | − | 0.0165475i | ||||
\(545\) | −7.10097 | + | 9.77365i | −0.304172 | + | 0.418657i | ||||
\(546\) | 4.60410 | − | 3.95178i | 0.197037 | − | 0.169121i | ||||
\(547\) | 2.87078 | + | 8.83536i | 0.122746 | + | 0.377773i | 0.993484 | − | 0.113975i | \(-0.0363583\pi\) |
−0.870738 | + | 0.491747i | \(0.836358\pi\) | |||||||
\(548\) | 2.24103 | + | 1.12810i | 0.0957322 | + | 0.0481899i | ||||
\(549\) | 3.29964i | 0.140825i | ||||||||
\(550\) | −7.19766 | − | 13.0735i | −0.306909 | − | 0.557455i | ||||
\(551\) | 31.2996i | 1.33341i | ||||||||
\(552\) | 5.88163 | + | 9.44181i | 0.250339 | + | 0.401870i | ||||
\(553\) | −3.02146 | − | 9.29909i | −0.128485 | − | 0.395437i | ||||
\(554\) | 13.8265 | + | 16.1088i | 0.587430 | + | 0.684397i | ||||
\(555\) | −4.03804 | + | 5.55788i | −0.171405 | + | 0.235919i | ||||
\(556\) | 1.90752 | − | 12.4369i | 0.0808968 | − | 0.527440i | ||||
\(557\) | 12.6129 | + | 4.09818i | 0.534425 | + | 0.173645i | 0.563782 | − | 0.825924i | \(-0.309346\pi\) |
−0.0293567 | + | 0.999569i | \(0.509346\pi\) | |||||||
\(558\) | −12.4594 | − | 2.95905i | −0.527449 | − | 0.125266i | ||||
\(559\) | −3.96257 | − | 5.45401i | −0.167599 | − | 0.230680i | ||||
\(560\) | 5.09271 | − | 7.15563i | 0.215206 | − | 0.302380i | ||||
\(561\) | 0.0351618 | − | 0.168238i | 0.00148453 | − | 0.00710302i | ||||
\(562\) | −4.22549 | + | 6.93336i | −0.178241 | + | 0.292466i | ||||
\(563\) | 19.0155 | − | 13.8156i | 0.801408 | − | 0.582257i | −0.109919 | − | 0.993941i | \(-0.535059\pi\) |
0.911327 | + | 0.411684i | \(0.135059\pi\) | |||||||
\(564\) | 10.2205 | − | 10.3209i | 0.430361 | − | 0.434590i | ||||
\(565\) | −4.59312 | + | 14.1362i | −0.193234 | + | 0.594713i | ||||
\(566\) | −6.09431 | − | 14.6118i | −0.256163 | − | 0.614181i | ||||
\(567\) | −5.74846 | − | 4.17650i | −0.241413 | − | 0.175396i | ||||
\(568\) | 7.41642 | − | 18.2829i | 0.311186 | − | 0.767134i | ||||
\(569\) | −12.2494 | + | 3.98008i | −0.513523 | + | 0.166854i | −0.554304 | − | 0.832315i | \(-0.687015\pi\) |
0.0407811 | + | 0.999168i | \(0.487015\pi\) | |||||||
\(570\) | −0.908541 | − | 11.1942i | −0.0380546 | − | 0.468872i | ||||
\(571\) | 20.4261 | 0.854806 | 0.427403 | − | 0.904061i | \(-0.359429\pi\) | ||||
0.427403 | + | 0.904061i | \(0.359429\pi\) | |||||||
\(572\) | 18.4601 | + | 14.6968i | 0.771855 | + | 0.614506i | ||||
\(573\) | 15.1424 | 0.632585 | ||||||||
\(574\) | 1.07793 | + | 13.2813i | 0.0449921 | + | 0.554349i | ||||
\(575\) | −16.0680 | + | 5.22080i | −0.670080 | + | 0.217722i | ||||
\(576\) | −8.64605 | + | 17.6024i | −0.360252 | + | 0.733434i | ||||
\(577\) | −5.53777 | − | 4.02342i | −0.230540 | − | 0.167497i | 0.466518 | − | 0.884512i | \(-0.345508\pi\) |
−0.697058 | + | 0.717014i | \(0.745508\pi\) | |||||||
\(578\) | −9.25194 | − | 22.1826i | −0.384830 | − | 0.922675i | ||||
\(579\) | 3.96902 | − | 12.2154i | 0.164947 | − | 0.507654i | ||||
\(580\) | 7.54291 | + | 7.46951i | 0.313202 | + | 0.310155i | ||||
\(581\) | 4.75828 | − | 3.45709i | 0.197407 | − | 0.143424i | ||||
\(582\) | 3.99367 | − | 6.55298i | 0.165543 | − | 0.271630i | ||||
\(583\) | −9.55259 | + | 8.66028i | −0.395628 | + | 0.358672i | ||||
\(584\) | 28.5573 | + | 2.03689i | 1.18171 | + | 0.0842873i | ||||
\(585\) | 6.91144 | + | 9.51278i | 0.285753 | + | 0.393305i | ||||
\(586\) | −7.29648 | − | 1.73288i | −0.301415 | − | 0.0715844i | ||||
\(587\) | −0.607533 | − | 0.197399i | −0.0250756 | − | 0.00814754i | 0.296452 | − | 0.955048i | \(-0.404196\pi\) |
−0.321528 | + | 0.946900i | \(0.604196\pi\) | |||||||
\(588\) | 6.36707 | + | 0.976559i | 0.262574 | + | 0.0402726i | ||||
\(589\) | 17.2645 | − | 23.7625i | 0.711370 | − | 0.979117i | ||||
\(590\) | 6.03813 | + | 7.03484i | 0.248586 | + | 0.289620i | ||||
\(591\) | 0.799100 | + | 2.45938i | 0.0328706 | + | 0.101165i | ||||
\(592\) | 0.269046 | + | 27.5131i | 0.0110577 | + | 1.13078i | ||||
\(593\) | − | 17.0480i | − | 0.700077i | −0.936735 | − | 0.350039i | \(-0.886168\pi\) | ||
0.936735 | − | 0.350039i | \(-0.113832\pi\) | |||||||
\(594\) | −8.05313 | + | 17.1411i | −0.330424 | + | 0.703307i | ||||
\(595\) | 0.153624i | 0.00629799i | ||||||||
\(596\) | −15.4274 | + | 30.6475i | −0.631930 | + | 1.25537i | ||||
\(597\) | 2.57858 | + | 7.93604i | 0.105534 | + | 0.324801i | ||||
\(598\) | 20.2698 | − | 17.3979i | 0.828892 | − | 0.711452i | ||||
\(599\) | −1.16656 | + | 1.60564i | −0.0476645 | + | 0.0656045i | −0.832184 | − | 0.554500i | \(-0.812910\pi\) |
0.784519 | + | 0.620104i | \(0.212910\pi\) | |||||||
\(600\) | 5.10022 | + | 4.29171i | 0.208216 | + | 0.175208i | ||||
\(601\) | 15.6571 | + | 5.08729i | 0.638665 | + | 0.207515i | 0.610410 | − | 0.792086i | \(-0.291005\pi\) |
0.0282553 | + | 0.999601i | \(0.491005\pi\) | |||||||
\(602\) | −1.00845 | + | 4.24618i | −0.0411012 | + | 0.173061i | ||||
\(603\) | −7.07917 | − | 9.74365i | −0.288286 | − | 0.396792i | ||||
\(604\) | −11.1453 | − | 21.6120i | −0.453496 | − | 0.879380i | ||||
\(605\) | 13.5910 | + | 5.94052i | 0.552552 | + | 0.241516i | ||||
\(606\) | 8.56231 | + | 5.21824i | 0.347820 | + | 0.211976i | ||||
\(607\) | −23.2353 | + | 16.8814i | −0.943091 | + | 0.685196i | −0.949163 | − | 0.314786i | \(-0.898067\pi\) |
0.00607141 | + | 0.999982i | \(0.498067\pi\) | |||||||
\(608\) | −29.6285 | − | 33.8440i | −1.20159 | − | 1.37255i | ||||
\(609\) | 1.46707 | − | 4.51518i | 0.0594487 | − | 0.182964i | ||||
\(610\) | −2.36900 | + | 0.988064i | −0.0959180 | + | 0.0400055i | ||||
\(611\) | −28.2185 | − | 20.5019i | −1.14160 | − | 0.829419i | ||||
\(612\) | −0.0553171 | − | 0.338537i | −0.00223606 | − | 0.0136846i | ||||
\(613\) | 6.32812 | − | 2.05613i | 0.255590 | − | 0.0830464i | −0.178419 | − | 0.983955i | \(-0.557098\pi\) |
0.434010 | + | 0.900908i | \(0.357098\pi\) | |||||||
\(614\) | 3.19995 | − | 0.259714i | 0.129139 | − | 0.0104812i | ||||
\(615\) | 5.77894 | 0.233029 | ||||||||
\(616\) | −0.563830 | − | 15.2650i | −0.0227174 | − | 0.615046i | ||||
\(617\) | −17.8948 | −0.720416 | −0.360208 | − | 0.932872i | \(-0.617294\pi\) | ||||
−0.360208 | + | 0.932872i | \(0.617294\pi\) | |||||||
\(618\) | 10.7760 | − | 0.874605i | 0.433476 | − | 0.0351818i | ||||
\(619\) | 22.1005 | − | 7.18088i | 0.888293 | − | 0.288624i | 0.170897 | − | 0.985289i | \(-0.445334\pi\) |
0.717397 | + | 0.696665i | \(0.245334\pi\) | |||||||
\(620\) | −1.60645 | − | 9.83139i | −0.0645167 | − | 0.394838i | ||||
\(621\) | 17.3452 | + | 12.6020i | 0.696037 | + | 0.505700i | ||||
\(622\) | −26.3221 | + | 10.9784i | −1.05542 | + | 0.440195i | ||||
\(623\) | −2.71579 | + | 8.35835i | −0.108806 | + | 0.334870i | ||||
\(624\) | −10.0546 | − | 3.15857i | −0.402505 | − | 0.126444i | ||||
\(625\) | −0.835407 | + | 0.606959i | −0.0334163 | + | 0.0242784i | ||||
\(626\) | 1.86201 | + | 1.13479i | 0.0744208 | + | 0.0453552i | ||||
\(627\) | −13.1197 | − | 14.4715i | −0.523950 | − | 0.577935i | ||||
\(628\) | −4.86001 | − | 9.42411i | −0.193935 | − | 0.376063i | ||||
\(629\) | −0.282881 | − | 0.389352i | −0.0112792 | − | 0.0155245i | ||||
\(630\) | 1.75891 | − | 7.40611i | 0.0700768 | − | 0.295067i | ||||
\(631\) | 44.0545 | + | 14.3142i | 1.75378 | + | 0.569838i | 0.996526 | − | 0.0832806i | \(-0.0265398\pi\) |
0.757255 | + | 0.653119i | \(0.226540\pi\) | |||||||
\(632\) | −10.9349 | + | 12.9949i | −0.434966 | + | 0.516908i | ||||
\(633\) | −1.19417 | + | 1.64363i | −0.0474639 | + | 0.0653284i | ||||
\(634\) | −18.0953 | + | 15.5315i | −0.718657 | + | 0.616836i | ||||
\(635\) | 4.28864 | + | 13.1991i | 0.170190 | + | 0.523790i | ||||
\(636\) | 2.58940 | − | 5.14401i | 0.102677 | − | 0.203973i | ||||
\(637\) | − | 15.4683i | − | 0.612877i | ||||||
\(638\) | 18.3187 | + | 2.30276i | 0.725244 | + | 0.0911673i | ||||
\(639\) | − | 17.0999i | − | 0.676462i | ||||||
\(640\) | −15.2268 | − | 0.936520i | −0.601892 | − | 0.0370192i | ||||
\(641\) | 8.39773 | + | 25.8456i | 0.331691 | + | 1.02084i | 0.968329 | + | 0.249676i | \(0.0803242\pi\) |
−0.636639 | + | 0.771162i | \(0.719676\pi\) | |||||||
\(642\) | 7.55711 | + | 8.80457i | 0.298255 | + | 0.347488i | ||||
\(643\) | 18.2352 | − | 25.0987i | 0.719128 | − | 0.989794i | −0.280425 | − | 0.959876i | \(-0.590475\pi\) |
0.999552 | − | 0.0299182i | \(-0.00952467\pi\) | |||||||
\(644\) | −17.0930 | − | 2.62166i | −0.673558 | − | 0.103308i | ||||
\(645\) | 1.80013 | + | 0.584897i | 0.0708800 | + | 0.0230303i | ||||
\(646\) | 0.765482 | + | 0.181798i | 0.0301175 | + | 0.00715275i | ||||
\(647\) | 24.7877 | + | 34.1173i | 0.974505 | + | 1.34129i | 0.939738 | + | 0.341895i | \(0.111069\pi\) |
0.0347664 | + | 0.999395i | \(0.488931\pi\) | |||||||
\(648\) | −0.878082 | + | 12.3107i | −0.0344943 | + | 0.483611i | ||||
\(649\) | 15.7831 | + | 3.29867i | 0.619541 | + | 0.129484i | ||||
\(650\) | 8.33001 | − | 13.6682i | 0.326730 | − | 0.536112i | ||||
\(651\) | −3.60431 | + | 2.61868i | −0.141264 | + | 0.102634i | ||||
\(652\) | 14.2929 | + | 14.1538i | 0.559753 | + | 0.554306i | ||||
\(653\) | −1.25077 | + | 3.84947i | −0.0489464 | + | 0.150641i | −0.972542 | − | 0.232726i | \(-0.925236\pi\) |
0.923596 | + | 0.383367i | \(0.125236\pi\) | |||||||
\(654\) | −3.61254 | − | 8.66149i | −0.141262 | − | 0.338691i | ||||
\(655\) | 2.03744 | + | 1.48028i | 0.0796093 | + | 0.0578395i | ||||
\(656\) | 18.5908 | − | 13.7867i | 0.725848 | − | 0.538281i | ||||
\(657\) | 23.5991 | − | 7.66780i | 0.920687 | − | 0.299149i | ||||
\(658\) | 1.82666 | + | 22.5064i | 0.0712107 | + | 0.877390i | ||||
\(659\) | −6.46292 | −0.251760 | −0.125880 | − | 0.992045i | \(-0.540175\pi\) | ||||
−0.125880 | + | 0.992045i | \(0.540175\pi\) | |||||||
\(660\) | −6.61844 | − | 0.291832i | −0.257623 | − | 0.0113595i | ||||
\(661\) | 26.6232 | 1.03552 | 0.517761 | − | 0.855525i | \(-0.326766\pi\) | ||||
0.517761 | + | 0.855525i | \(0.326766\pi\) | |||||||
\(662\) | −3.88671 | − | 47.8884i | −0.151061 | − | 1.86123i | ||||
\(663\) | 0.175320 | − | 0.0569648i | 0.00680885 | − | 0.00221233i | ||||
\(664\) | −9.46685 | − | 3.84020i | −0.367385 | − | 0.149029i | ||||
\(665\) | 14.1249 | + | 10.2623i | 0.547740 | + | 0.397956i | ||||
\(666\) | 9.17960 | + | 22.0092i | 0.355702 | + | 0.852838i | ||||
\(667\) | 6.45884 | − | 19.8783i | 0.250087 | − | 0.769690i | ||||
\(668\) | −30.8302 | + | 31.1332i | −1.19286 | + | 1.20458i | ||||
\(669\) | −14.2169 | + | 10.3292i | −0.549659 | + | 0.399350i | ||||
\(670\) | 4.87569 | − | 8.00023i | 0.188364 | − | 0.309076i | ||||
\(671\) | −2.21895 | + | 3.87374i | −0.0856616 | + | 0.149544i | ||||
\(672\) | 2.68778 | + | 6.27096i | 0.103683 | + | 0.241908i | ||||
\(673\) | −4.89033 | − | 6.73096i | −0.188508 | − | 0.259460i | 0.704294 | − | 0.709909i | \(-0.251264\pi\) |
−0.892802 | + | 0.450449i | \(0.851264\pi\) | |||||||
\(674\) | 23.5227 | + | 5.58651i | 0.906060 | + | 0.215184i | ||||
\(675\) | 12.2183 | + | 3.96998i | 0.470284 | + | 0.152805i | ||||
\(676\) | 0.104935 | − | 0.684168i | 0.00403597 | − | 0.0263142i | ||||
\(677\) | −8.97132 | + | 12.3480i | −0.344796 | + | 0.474571i | −0.945834 | − | 0.324649i | \(-0.894754\pi\) |
0.601039 | + | 0.799220i | \(0.294754\pi\) | |||||||
\(678\) | −7.52021 | − | 8.76157i | −0.288812 | − | 0.336486i | ||||
\(679\) | 3.68652 | + | 11.3459i | 0.141476 | + | 0.435417i | ||||
\(680\) | 0.226491 | − | 0.141089i | 0.00868552 | − | 0.00541051i | ||||
\(681\) | − | 0.593162i | − | 0.0227300i | ||||||
\(682\) | −12.6373 | − | 11.8526i | −0.483907 | − | 0.453860i | ||||
\(683\) | − | 32.9156i | − | 1.25948i | −0.776806 | − | 0.629740i | \(-0.783161\pi\) | ||
0.776806 | − | 0.629740i | \(-0.216839\pi\) | |||||||
\(684\) | −34.8218 | − | 17.5287i | −1.33145 | − | 0.670226i | ||||
\(685\) | 0.522718 | + | 1.60876i | 0.0199720 | + | 0.0614676i | ||||
\(686\) | −19.8308 | + | 17.0211i | −0.757142 | + | 0.649868i | ||||
\(687\) | 10.2696 | − | 14.1349i | 0.391811 | − | 0.539282i | ||||
\(688\) | 7.18636 | − | 2.41293i | 0.273978 | − | 0.0919922i | ||||
\(689\) | −13.1524 | − | 4.27349i | −0.501068 | − | 0.162807i | ||||
\(690\) | −1.73296 | + | 7.29686i | −0.0659728 | + | 0.277787i | ||||
\(691\) | −26.7545 | − | 36.8244i | −1.01779 | − | 1.40087i | −0.913742 | − | 0.406294i | \(-0.866821\pi\) |
−0.104047 | − | 0.994572i | \(-0.533179\pi\) | |||||||
\(692\) | −21.0324 | + | 10.8464i | −0.799531 | + | 0.412318i | ||||
\(693\) | −5.42604 | − | 12.0762i | −0.206118 | − | 0.458739i | ||||
\(694\) | 3.01794 | + | 1.83926i | 0.114559 | + | 0.0698175i | ||||
\(695\) | 6.86294 | − | 4.98622i | 0.260326 | − | 0.189138i | ||||
\(696\) | −8.00415 | + | 1.98382i | −0.303397 | + | 0.0751966i | ||||
\(697\) | −0.125102 | + | 0.385024i | −0.00473857 | + | 0.0145838i | ||||
\(698\) | 9.15135 | − | 3.81685i | 0.346384 | − | 0.144470i | ||||
\(699\) | 10.4812 | + | 7.61507i | 0.396437 | + | 0.288028i | ||||
\(700\) | −10.2266 | + | 1.67103i | −0.386529 | + | 0.0631590i | ||||
\(701\) | −47.6330 | + | 15.4769i | −1.79907 | + | 0.584555i | −0.999864 | − | 0.0164975i | \(-0.994748\pi\) |
−0.799210 | + | 0.601052i | \(0.794748\pi\) | |||||||
\(702\) | −20.2459 | + | 1.64320i | −0.764134 | + | 0.0620186i | ||||
\(703\) | −54.6955 | −2.06288 | ||||||||
\(704\) | −21.9877 | + | 14.8507i | −0.828691 | + | 0.559707i | ||||
\(705\) | 9.79298 | 0.368825 | ||||||||
\(706\) | −25.2923 | + | 2.05277i | −0.951887 | + | 0.0772570i | ||||
\(707\) | −14.8249 | + | 4.81691i | −0.557548 | + | 0.181158i | ||||
\(708\) | −7.10749 | + | 1.16137i | −0.267116 | + | 0.0436468i | ||||
\(709\) | 6.87556 | + | 4.99539i | 0.258217 | + | 0.187606i | 0.709361 | − | 0.704846i | \(-0.248984\pi\) |
−0.451144 | + | 0.892451i | \(0.648984\pi\) | |||||||
\(710\) | 12.2770 | − | 5.12049i | 0.460747 | − | 0.192169i | ||||
\(711\) | −4.54860 | + | 13.9991i | −0.170586 | + | 0.525009i | ||||
\(712\) | 14.8170 | − | 3.67239i | 0.555291 | − | 0.137628i | ||||
\(713\) | −15.8681 | + | 11.5289i | −0.594266 | + | 0.431759i | ||||
\(714\) | −0.101905 | − | 0.0621052i | −0.00381369 | − | 0.00232423i | ||||
\(715\) | 1.71677 | + | 15.8157i | 0.0642036 | + | 0.591474i | ||||
\(716\) | 1.65966 | − | 0.855885i | 0.0620243 | − | 0.0319859i | ||||
\(717\) | −2.91036 | − | 4.00576i | −0.108689 | − | 0.149598i | ||||
\(718\) | 3.16305 | − | 13.3184i | 0.118044 | − | 0.497038i | ||||
\(719\) | 6.94019 | + | 2.25500i | 0.258825 | + | 0.0840974i | 0.435555 | − | 0.900162i | \(-0.356552\pi\) |
−0.176730 | + | 0.984259i | \(0.556552\pi\) | |||||||
\(720\) | −12.5343 | + | 4.20859i | −0.467127 | + | 0.156845i | ||||
\(721\) | −9.87901 | + | 13.5973i | −0.367914 | + | 0.506390i | ||||
\(722\) | 47.4612 | − | 40.7368i | 1.76632 | − | 1.51607i | ||||
\(723\) | −0.981112 | − | 3.01955i | −0.0364879 | − | 0.112298i | ||||
\(724\) | −33.6554 | − | 16.9415i | −1.25079 | − | 0.629627i | ||||
\(725\) | − | 12.5244i | − | 0.465146i | ||||||
\(726\) | −9.43494 | + | 6.61386i | −0.350164 | + | 0.245463i | ||||
\(727\) | − | 1.85004i | − | 0.0686140i | −0.999411 | − | 0.0343070i | \(-0.989078\pi\) | ||
0.999411 | − | 0.0343070i | \(-0.0109224\pi\) | |||||||
\(728\) | 13.9062 | − | 8.66265i | 0.515398 | − | 0.321059i | ||||
\(729\) | 0.533026 | + | 1.64049i | 0.0197417 | + | 0.0607587i | ||||
\(730\) | 12.5718 | + | 14.6470i | 0.465303 | + | 0.542110i | ||||
\(731\) | −0.0779378 | + | 0.107272i | −0.00288264 | + | 0.00396761i | ||||
\(732\) | 0.302288 | − | 1.97089i | 0.0111729 | − | 0.0728461i | ||||
\(733\) | 17.9690 | + | 5.83849i | 0.663701 | + | 0.215650i | 0.621446 | − | 0.783457i | \(-0.286546\pi\) |
0.0422555 | + | 0.999107i | \(0.486546\pi\) | |||||||
\(734\) | 42.5814 | + | 10.1129i | 1.57171 | + | 0.373273i | ||||
\(735\) | 2.55271 | + | 3.51350i | 0.0941580 | + | 0.129597i | ||||
\(736\) | 11.8331 | + | 27.6082i | 0.436173 | + | 1.01765i | ||||
\(737\) | −1.75843 | − | 16.1995i | −0.0647728 | − | 0.596717i | ||||
\(738\) | 10.4394 | − | 17.1293i | 0.384278 | − | 0.630540i | ||||
\(739\) | −12.7166 | + | 9.23916i | −0.467788 | + | 0.339868i | −0.796579 | − | 0.604535i | \(-0.793359\pi\) |
0.328791 | + | 0.944403i | \(0.393359\pi\) | |||||||
\(740\) | −13.0528 | + | 13.1811i | −0.479832 | + | 0.484547i | ||||
\(741\) | 6.47402 | − | 19.9250i | 0.237829 | − | 0.731963i | ||||
\(742\) | 3.44627 | + | 8.26284i | 0.126517 | + | 0.303339i | ||||
\(743\) | −4.69746 | − | 3.41290i | −0.172333 | − | 0.125207i | 0.498275 | − | 0.867019i | \(-0.333967\pi\) |
−0.670608 | + | 0.741812i | \(0.733967\pi\) | |||||||
\(744\) | 7.17096 | + | 2.90888i | 0.262900 | + | 0.106645i | ||||
\(745\) | −22.0008 | + | 7.14848i | −0.806045 | + | 0.261900i | ||||
\(746\) | 0.563621 | + | 6.94440i | 0.0206356 | + | 0.254252i | ||||
\(747\) | −8.85428 | −0.323961 | ||||||||
\(748\) | 0.162719 | − | 0.434638i | 0.00594958 | − | 0.0158919i | ||||
\(749\) | −18.0377 | −0.659083 | ||||||||
\(750\) | 0.934848 | + | 11.5183i | 0.0341358 | + | 0.420589i | ||||
\(751\) | −2.85643 | + | 0.928110i | −0.104233 | + | 0.0338672i | −0.360669 | − | 0.932694i | \(-0.617452\pi\) |
0.256436 | + | 0.966561i | \(0.417452\pi\) | |||||||
\(752\) | 31.5039 | − | 23.3630i | 1.14883 | − | 0.851959i | ||||
\(753\) | −2.93478 | − | 2.13224i | −0.106949 | − | 0.0777033i | ||||
\(754\) | 7.62271 | + | 18.2763i | 0.277603 | + | 0.665585i | ||||
\(755\) | 5.06615 | − | 15.5920i | 0.184376 | − | 0.567451i | ||||
\(756\) | 9.34366 | + | 9.25273i | 0.339826 | + | 0.336519i | ||||
\(757\) | 21.1049 | − | 15.3336i | 0.767071 | − | 0.557310i | −0.134000 | − | 0.990981i | \(-0.542782\pi\) |
0.901071 | + | 0.433672i | \(0.142782\pi\) | |||||||
\(758\) | 2.96241 | − | 4.86085i | 0.107600 | − | 0.176554i | ||||
\(759\) | 5.34600 | + | 11.8981i | 0.194047 | + | 0.431874i | ||||
\(760\) | 2.15759 | − | 30.2495i | 0.0782639 | − | 1.09726i | ||||
\(761\) | −18.7813 | − | 25.8502i | −0.680820 | − | 0.937068i | 0.319123 | − | 0.947713i | \(-0.396612\pi\) |
−0.999943 | + | 0.0106450i | \(0.996612\pi\) | |||||||
\(762\) | −10.4892 | − | 2.49113i | −0.379984 | − | 0.0902441i | ||||
\(763\) | 13.8751 | + | 4.50828i | 0.502311 | + | 0.163211i | ||||
\(764\) | 40.4156 | + | 6.19879i | 1.46218 | + | 0.224265i | ||||
\(765\) | 0.135938 | − | 0.187102i | 0.00491484 | − | 0.00676470i | ||||
\(766\) | 11.0428 | + | 12.8656i | 0.398992 | + | 0.464854i | ||||
\(767\) | 5.34410 | + | 16.4474i | 0.192964 | + | 0.593883i | ||||
\(768\) | 6.77691 | − | 9.72189i | 0.244541 | − | 0.350809i | ||||
\(769\) | 22.3560i | 0.806176i | 0.915161 | + | 0.403088i | \(0.132063\pi\) | ||||
−0.915161 | + | 0.403088i | \(0.867937\pi\) | |||||||
\(770\) | 7.04542 | − | 7.51184i | 0.253899 | − | 0.270708i | ||||
\(771\) | 9.17275i | 0.330348i | ||||||||
\(772\) | 15.5940 | − | 30.9784i | 0.561239 | − | 1.11494i | ||||
\(773\) | 1.56889 | + | 4.82855i | 0.0564291 | + | 0.173671i | 0.975299 | − | 0.220891i | \(-0.0708964\pi\) |
−0.918869 | + | 0.394562i | \(0.870896\pi\) | |||||||
\(774\) | 4.98553 | − | 4.27917i | 0.179201 | − | 0.153811i | ||||
\(775\) | −6.90832 | + | 9.50848i | −0.248154 | + | 0.341555i | ||||
\(776\) | 13.3418 | − | 15.8552i | 0.478942 | − | 0.569169i | ||||
\(777\) | 7.89020 | + | 2.56368i | 0.283059 | + | 0.0919715i | ||||
\(778\) | −4.48898 | + | 18.9014i | −0.160938 | + | 0.677648i | ||||
\(779\) | 27.0438 | + | 37.2225i | 0.968943 | + | 1.33364i | ||||
\(780\) | −3.25674 | − | 6.31519i | −0.116610 | − | 0.226120i | ||||
\(781\) | 11.4994 | − | 20.0751i | 0.411480 | − | 0.718343i | ||||
\(782\) | −0.448640 | − | 0.273421i | −0.0160433 | − | 0.00977750i | ||||
\(783\) | −12.8582 | + | 9.34206i | −0.459516 | + | 0.333858i | ||||
\(784\) | 16.5941 | + | 5.21292i | 0.592647 | + | 0.186176i | ||||
\(785\) | 2.20914 | − | 6.79904i | 0.0788476 | − | 0.242668i | ||||
\(786\) | −1.80560 | + | 0.753079i | −0.0644035 | + | 0.0268614i | ||||
\(787\) | −2.38155 | − | 1.73029i | −0.0848930 | − | 0.0616783i | 0.544529 | − | 0.838742i | \(-0.316708\pi\) |
−0.629422 | + | 0.777064i | \(0.716708\pi\) | |||||||
\(788\) | 1.12604 | + | 6.89127i | 0.0401134 | + | 0.245491i | ||||
\(789\) | −11.9392 | + | 3.87928i | −0.425046 | + | 0.138106i | ||||
\(790\) | −11.4128 | + | 0.926288i | −0.406051 | + | 0.0329559i | ||||
\(791\) | 17.9496 | 0.638215 | ||||||||
\(792\) | −12.8209 | + | 19.0905i | −0.455571 | + | 0.678352i | ||||
\(793\) | −4.78812 | −0.170031 | ||||||||
\(794\) | 17.1330 | − | 1.39055i | 0.608028 | − | 0.0493487i | ||||
\(795\) | 3.69271 | − | 1.19983i | 0.130967 | − | 0.0425537i | ||||
\(796\) | 3.63355 | + | 22.2371i | 0.128788 | + | 0.788173i | ||||
\(797\) | −6.06111 | − | 4.40365i | −0.214695 | − | 0.155985i | 0.475240 | − | 0.879856i | \(-0.342361\pi\) |
−0.689936 | + | 0.723871i | \(0.742361\pi\) | |||||||
\(798\) | −12.5176 | + | 5.22085i | −0.443118 | + | 0.184816i | ||||
\(799\) | −0.211997 | + | 0.652460i | −0.00749992 | + | 0.0230824i | ||||
\(800\) | 11.8557 | + | 13.5425i | 0.419164 | + | 0.478801i | ||||
\(801\) | 10.7037 | − | 7.77668i | 0.378196 | − | 0.274775i | ||||
\(802\) | −34.7558 | − | 21.1817i | −1.22727 | − | 0.747952i | ||||
\(803\) | 32.8615 | + | 6.86804i | 1.15966 | + | 0.242368i | ||||
\(804\) | 3.33578 | + | 6.46845i | 0.117644 | + | 0.228125i | ||||
\(805\) | −6.85298 | − | 9.43231i | −0.241536 | − | 0.332445i | ||||
\(806\) | 4.29388 | − | 18.0799i | 0.151245 | − | 0.636837i | ||||
\(807\) | −2.78583 | − | 0.905170i | −0.0980658 | − | 0.0318635i | ||||
\(808\) | 20.7169 | + | 17.4327i | 0.728816 | + | 0.613281i | ||||
\(809\) | 23.4091 | − | 32.2199i | 0.823022 | − | 1.13279i | −0.166160 | − | 0.986099i | \(-0.553137\pi\) |
0.989182 | − | 0.146694i | \(-0.0468631\pi\) | |||||||
\(810\) | −6.31416 | + | 5.41955i | −0.221857 | + | 0.190424i | ||||
\(811\) | −13.1790 | − | 40.5607i | −0.462777 | − | 1.42428i | −0.861757 | − | 0.507321i | \(-0.830636\pi\) |
0.398981 | − | 0.916959i | \(-0.369364\pi\) | |||||||
\(812\) | 5.76401 | − | 11.4506i | 0.202277 | − | 0.401836i | ||||
\(813\) | − | 17.5818i | − | 0.616619i | ||||||
\(814\) | −4.02404 | + | 32.0116i | −0.141042 | + | 1.12201i | ||||
\(815\) | 13.5617i | 0.475047i | ||||||||
\(816\) | 0.00202693 | + | 0.207277i | 7.09567e−5 | + | 0.00725615i | ||||
\(817\) | 4.65671 | + | 14.3319i | 0.162918 | + | 0.501409i | ||||
\(818\) | −17.4594 | − | 20.3414i | −0.610452 | − | 0.711220i | ||||
\(819\) | 8.34638 | − | 11.4878i | 0.291646 | − | 0.401416i | ||||
\(820\) | 15.4242 | + | 2.36570i | 0.538635 | + | 0.0826138i | ||||
\(821\) | −18.3658 | − | 5.96742i | −0.640972 | − | 0.208264i | −0.0295426 | − | 0.999564i | \(-0.509405\pi\) |
−0.611429 | + | 0.791299i | \(0.709405\pi\) | |||||||
\(822\) | −1.27847 | − | 0.303629i | −0.0445917 | − | 0.0105903i | ||||
\(823\) | 5.83041 | + | 8.02487i | 0.203235 | + | 0.279729i | 0.898453 | − | 0.439070i | \(-0.144692\pi\) |
−0.695218 | + | 0.718799i | \(0.744692\pi\) | |||||||
\(824\) | 29.1196 | + | 2.07700i | 1.01443 | + | 0.0723557i | ||||
\(825\) | 5.24979 | + | 5.79071i | 0.182774 | + | 0.201607i | ||||
\(826\) | 5.82633 | − | 9.56010i | 0.202724 | − | 0.332638i | ||||
\(827\) | −35.2981 | + | 25.6455i | −1.22743 | + | 0.891783i | −0.996695 | − | 0.0812332i | \(-0.974114\pi\) |
−0.230738 | + | 0.973016i | \(0.574114\pi\) | |||||||
\(828\) | 18.4981 | + | 18.3181i | 0.642853 | + | 0.636597i | ||||
\(829\) | −8.69871 | + | 26.7719i | −0.302119 | + | 0.929826i | 0.678618 | + | 0.734491i | \(0.262579\pi\) |
−0.980737 | + | 0.195335i | \(0.937421\pi\) | |||||||
\(830\) | −2.65138 | − | 6.35699i | −0.0920306 | − | 0.220654i | ||||
\(831\) | −8.99492 | − | 6.53519i | −0.312030 | − | 0.226703i | ||||
\(832\) | −25.5429 | − | 12.5463i | −0.885541 | − | 0.434965i | ||||
\(833\) | −0.289348 | + | 0.0940150i | −0.0100253 | + | 0.00325743i | ||||
\(834\) | 0.533089 | + | 6.56821i | 0.0184593 | + | 0.227438i | ||||
\(835\) | −29.5406 | −1.02229 | ||||||||
\(836\) | −29.0927 | − | 43.9955i | −1.00619 | − | 1.52162i | ||||
\(837\) | 14.9149 | 0.515533 | ||||||||
\(838\) | 1.75845 | + | 21.6659i | 0.0607446 | + | 0.748437i | ||||
\(839\) | −33.2421 | + | 10.8010i | −1.14764 | + | 0.372892i | −0.820255 | − | 0.571998i | \(-0.806169\pi\) |
−0.327388 | + | 0.944890i | \(0.606169\pi\) | |||||||
\(840\) | −1.72909 | + | 4.26256i | −0.0596594 | + | 0.147072i | ||||
\(841\) | −10.9262 | − | 7.93837i | −0.376767 | − | 0.273737i | ||||
\(842\) | −10.5180 | − | 25.2183i | −0.362476 | − | 0.869079i | ||||
\(843\) | 1.31409 | − | 4.04435i | 0.0452596 | − | 0.139295i | ||||
\(844\) | −3.86011 | + | 3.89804i | −0.132870 | + | 0.134176i | ||||
\(845\) | 0.377540 | − | 0.274299i | 0.0129878 | − | 0.00943617i | ||||
\(846\) | 17.6905 | − | 29.0273i | 0.608212 | − | 0.997980i | ||||
\(847\) | 1.75095 | − | 17.8263i | 0.0601634 | − | 0.612518i | ||||
\(848\) | 9.01697 | − | 12.6695i | 0.309644 | − | 0.435072i | ||||
\(849\) | 4.87374 | + | 6.70812i | 0.167266 | + | 0.230222i | ||||
\(850\) | −0.306305 | − | 0.0727458i | −0.0105062 | − | 0.00249516i | ||||
\(851\) | 34.7369 | + | 11.2867i | 1.19077 | + | 0.386903i | ||||
\(852\) | −1.56656 | + | 10.2138i | −0.0536695 | + | 0.349920i | ||||
\(853\) | −15.9973 | + | 22.0183i | −0.547736 | + | 0.753894i | −0.989703 | − | 0.143138i | \(-0.954281\pi\) |
0.441967 | + | 0.897031i | \(0.354281\pi\) | |||||||
\(854\) | 2.01886 | + | 2.35211i | 0.0690838 | + | 0.0804875i | ||||
\(855\) | −8.12215 | − | 24.9974i | −0.277772 | − | 0.854893i | ||||
\(856\) | 16.5658 | + | 26.5932i | 0.566209 | + | 0.908938i | ||||
\(857\) | 37.5541i | 1.28282i | 0.767197 | + | 0.641412i | \(0.221651\pi\) | ||||
−0.767197 | + | 0.641412i | \(0.778349\pi\) | |||||||
\(858\) | −11.1852 | − | 5.25496i | −0.381856 | − | 0.179401i | ||||
\(859\) | 4.50293i | 0.153638i | 0.997045 | + | 0.0768190i | \(0.0244764\pi\) | ||||
−0.997045 | + | 0.0768190i | \(0.975524\pi\) | |||||||
\(860\) | 4.56515 | + | 2.29802i | 0.155670 | + | 0.0783617i | ||||
\(861\) | −2.15655 | − | 6.63719i | −0.0734952 | − | 0.226195i | ||||
\(862\) | −29.0860 | + | 24.9651i | −0.990675 | + | 0.850313i | ||||
\(863\) | 10.6014 | − | 14.5915i | 0.360875 | − | 0.496702i | −0.589517 | − | 0.807756i | \(-0.700682\pi\) |
0.950392 | + | 0.311054i | \(0.100682\pi\) | |||||||
\(864\) | 5.06021 | − | 22.2732i | 0.172152 | − | 0.757750i | ||||
\(865\) | −15.1738 | − | 4.93028i | −0.515926 | − | 0.167634i | ||||
\(866\) | −1.42349 | + | 5.99380i | −0.0483723 | + | 0.203677i | ||||
\(867\) | 7.39896 | + | 10.1838i | 0.251282 | + | 0.345860i | ||||
\(868\) | −10.6920 | + | 5.51386i | −0.362910 | + | 0.187152i | ||||
\(869\) | −14.7542 | + | 13.3760i | −0.500501 | + | 0.453749i | ||||
\(870\) | −4.74754 | − | 2.89336i | −0.160957 | − | 0.0980940i | ||||
\(871\) | 14.1390 | − | 10.2726i | 0.479083 | − | 0.348074i | ||||
\(872\) | −6.09625 | − | 24.5966i | −0.206445 | − | 0.832946i | ||||
\(873\) | 5.54980 | − | 17.0805i | 0.187832 | − | 0.578089i | ||||
\(874\) | −55.1093 | + | 22.9850i | −1.86410 | + | 0.777479i | ||||
\(875\) | −14.5339 | − | 10.5595i | −0.491335 | − | 0.356976i | ||||
\(876\) | −14.7983 | + | 2.41804i | −0.499987 | + | 0.0816980i | ||||
\(877\) | −12.9541 | + | 4.20903i | −0.437428 | + | 0.142129i | −0.519449 | − | 0.854502i | \(-0.673863\pi\) |
0.0820206 | + | 0.996631i | \(0.473863\pi\) | |||||||
\(878\) | −33.9702 | + | 2.75709i | −1.14644 | + | 0.0930473i | ||||
\(879\) | 3.92773 | 0.132479 | ||||||||
\(880\) | −17.5453 | − | 3.48827i | −0.591453 | − | 0.117590i | ||||
\(881\) | 5.44549 | 0.183463 | 0.0917317 | − | 0.995784i | \(-0.470760\pi\) | ||||
0.0917317 | + | 0.995784i | \(0.470760\pi\) | |||||||
\(882\) | 15.0257 | − | 1.21951i | 0.505941 | − | 0.0410632i | ||||
\(883\) | −26.8480 | + | 8.72345i | −0.903508 | + | 0.293568i | −0.723684 | − | 0.690131i | \(-0.757553\pi\) |
−0.179824 | + | 0.983699i | \(0.557553\pi\) | |||||||
\(884\) | 0.491252 | − | 0.0802708i | 0.0165226 | − | 0.00269980i | ||||
\(885\) | −3.92816 | − | 2.85397i | −0.132044 | − | 0.0959352i | ||||
\(886\) | −30.0789 | + | 12.5453i | −1.01052 | + | 0.421469i | ||||
\(887\) | 13.1145 | − | 40.3623i | 0.440342 | − | 1.35523i | −0.447171 | − | 0.894449i | \(-0.647568\pi\) |
0.887512 | − | 0.460784i | \(-0.152432\pi\) | |||||||
\(888\) | −3.46669 | − | 13.9871i | −0.116335 | − | 0.469377i | ||||
\(889\) | 13.5589 | − | 9.85113i | 0.454751 | − | 0.330396i | ||||
\(890\) | 8.78849 | + | 5.35608i | 0.294591 | + | 0.179536i | ||||
\(891\) | −2.96073 | + | 14.1662i | −0.0991883 | + | 0.474586i | ||||
\(892\) | −42.1738 | + | 21.7490i | −1.41208 | + | 0.728211i | ||||
\(893\) | 45.8283 | + | 63.0772i | 1.53358 | + | 2.11080i | ||||
\(894\) | 4.15231 | − | 17.4838i | 0.138874 | − | 0.584746i | ||||
\(895\) | 1.19736 | + | 0.389047i | 0.0400234 | + | 0.0130044i | ||||
\(896\) | 4.60664 | + | 17.8377i | 0.153897 | + | 0.595914i | ||||
\(897\) | −8.22325 | + | 11.3183i | −0.274566 | + | 0.377908i | ||||
\(898\) | −4.04943 | + | 3.47570i | −0.135131 | + | 0.115986i | ||||
\(899\) | −4.49318 | − | 13.8286i | −0.149856 | − | 0.461209i | ||||
\(900\) | 13.9338 | + | 7.01404i | 0.464461 | + | 0.233801i | ||||
\(901\) | 0.272002i | 0.00906169i | ||||||||
\(902\) | 23.7749 | − | 13.0894i | 0.791616 | − | 0.435828i | ||||
\(903\) | − | 2.28574i | − | 0.0760646i | ||||||
\(904\) | −16.4849 | − | 26.4634i | −0.548281 | − | 0.880159i | ||||
\(905\) | −7.85008 | − | 24.1601i | −0.260946 | − | 0.803108i | ||||
\(906\) | 8.29469 | + | 9.66389i | 0.275573 | + | 0.321061i | ||||
\(907\) | 20.3902 | − | 28.0647i | 0.677046 | − | 0.931873i | −0.322848 | − | 0.946451i | \(-0.604640\pi\) |
0.999894 | + | 0.0145776i | \(0.00464034\pi\) | |||||||
\(908\) | 0.242820 | − | 1.58317i | 0.00805827 | − | 0.0525392i | ||||
\(909\) | 22.3179 | + | 7.25153i | 0.740238 | + | 0.240518i | ||||
\(910\) | 10.7470 | + | 2.55236i | 0.356261 | + | 0.0846100i | ||||
\(911\) | −17.4380 | − | 24.0014i | −0.577748 | − | 0.795202i | 0.415698 | − | 0.909503i | \(-0.363537\pi\) |
−0.993446 | + | 0.114300i | \(0.963537\pi\) | |||||||
\(912\) | 19.1933 | + | 13.6600i | 0.635555 | + | 0.452329i | ||||
\(913\) | −10.3948 | − | 5.95434i | −0.344018 | − | 0.197060i | ||||
\(914\) | −25.9483 | + | 42.5771i | −0.858294 | + | 1.40833i | ||||
\(915\) | 1.08758 | − | 0.790174i | 0.0359543 | − | 0.0261224i | ||||
\(916\) | 33.1963 | − | 33.5225i | 1.09684 | − | 1.10762i | ||||
\(917\) | 0.939807 | − | 2.89243i | 0.0310352 | − | 0.0955164i | ||||
\(918\) | 0.153790 | + | 0.368731i | 0.00507584 | + | 0.0121699i | ||||
\(919\) | 17.4823 | + | 12.7016i | 0.576687 | + | 0.418988i | 0.837528 | − | 0.546394i | \(-0.184000\pi\) |
−0.260841 | + | 0.965382i | \(0.584000\pi\) | |||||||
\(920\) | −7.61241 | + | 18.7661i | −0.250974 | + | 0.618699i | ||||
\(921\) | −1.59915 | + | 0.519594i | −0.0526936 | + | 0.0171212i | ||||
\(922\) | −4.40540 | − | 54.2792i | −0.145084 | − | 1.78759i | ||||
\(923\) | 24.8137 | 0.816754 | ||||||||
\(924\) | 2.13466 | + | 7.71027i | 0.0702252 | + | 0.253649i | ||||
\(925\) | 21.8862 | 0.719614 | ||||||||
\(926\) | 1.23181 | + | 15.1772i | 0.0404798 | + | 0.498754i | ||||
\(927\) | 24.0637 | − | 7.81877i | 0.790356 | − | 0.256802i | ||||
\(928\) | −22.1754 | + | 2.01825i | −0.727943 | + | 0.0662523i | ||||
\(929\) | −38.2024 | − | 27.7557i | −1.25338 | − | 0.910635i | −0.254968 | − | 0.966949i | \(-0.582065\pi\) |
−0.998413 | + | 0.0563145i | \(0.982065\pi\) | |||||||
\(930\) | 2.00837 | + | 4.81530i | 0.0658570 | + | 0.157900i | ||||
\(931\) | −10.6848 | + | 32.8843i | −0.350179 | + | 1.07774i | ||||
\(932\) | 24.8574 | + | 24.6155i | 0.814230 | + | 0.806307i | ||||
\(933\) | 12.0842 | − | 8.77967i | 0.395618 | − | 0.287433i | ||||
\(934\) | 15.2199 | − | 24.9734i | 0.498009 | − | 0.817154i | ||||
\(935\) | 0.285412 | − | 0.128240i | 0.00933397 | − | 0.00419390i | ||||
\(936\) | −24.6020 | − | 1.75477i | −0.804140 | − | 0.0573565i | ||||
\(937\) | 27.2659 | + | 37.5283i | 0.890738 | + | 1.22600i | 0.973329 | + | 0.229412i | \(0.0736804\pi\) |
−0.0825914 | + | 0.996583i | \(0.526320\pi\) | |||||||
\(938\) | −11.0079 | − | 2.61431i | −0.359419 | − | 0.0853602i | ||||
\(939\) | −1.08614 | − | 0.352908i | −0.0354449 | − | 0.0115167i | ||||
\(940\) | 26.1377 | + | 4.00891i | 0.852518 | + | 0.130756i | ||||
\(941\) | 23.1708 | − | 31.8919i | 0.755347 | − | 1.03965i | −0.242240 | − | 0.970216i | \(-0.577882\pi\) |
0.997587 | − | 0.0694293i | \(-0.0221178\pi\) | |||||||
\(942\) | 3.61697 | + | 4.21403i | 0.117847 | + | 0.137300i | ||||
\(943\) | −9.49432 | − | 29.2205i | −0.309178 | − | 0.951551i | ||||
\(944\) | −19.4455 | + | 0.190154i | −0.632897 | + | 0.00618900i | ||||
\(945\) | 8.86568i | 0.288401i | ||||||||
\(946\) | 8.73061 | − | 1.67101i | 0.283857 | − | 0.0543292i | ||||
\(947\) | 24.9488i | 0.810725i | 0.914156 | + | 0.405363i | \(0.132855\pi\) | ||||
−0.914156 | + | 0.405363i | \(0.867145\pi\) | |||||||
\(948\) | 3.99938 | − | 7.94503i | 0.129894 | − | 0.258042i | ||||
\(949\) | 11.1268 | + | 34.2447i | 0.361190 | + | 1.11163i | ||||
\(950\) | −27.1502 | + | 23.3035i | −0.880868 | + | 0.756065i | ||||
\(951\) | 7.34110 | − | 10.1042i | 0.238052 | − | 0.327650i | ||||
\(952\) | −0.246563 | − | 0.207477i | −0.00799115 | − | 0.00672436i | ||||
\(953\) | 38.9090 | + | 12.6423i | 1.26039 | + | 0.409524i | 0.861632 | − | 0.507534i | \(-0.169443\pi\) |
0.398754 | + | 0.917058i | \(0.369443\pi\) | |||||||
\(954\) | 3.11427 | − | 13.1130i | 0.100828 | − | 0.424549i | ||||
\(955\) | 16.2035 | + | 22.3023i | 0.524334 | + | 0.721684i | ||||
\(956\) | −6.12800 | − | 11.8829i | −0.198194 | − | 0.384320i | ||||
\(957\) | −9.61321 | + | 1.04350i | −0.310751 | + | 0.0337316i | ||||
\(958\) | 13.7835 | + | 8.40029i | 0.445326 | + | 0.271401i | ||||
\(959\) | 1.65262 | − | 1.20070i | 0.0533658 | − | 0.0387725i | ||||
\(960\) | 7.87235 | − | 1.36551i | 0.254079 | − | 0.0440716i | ||||
\(961\) | 5.36305 | − | 16.5058i | 0.173002 | − | 0.532445i | ||||
\(962\) | −31.9376 | + | 13.3205i | −1.02971 | + | 0.429472i | ||||
\(963\) | 21.9685 | + | 15.9610i | 0.707925 | + | 0.514337i | ||||
\(964\) | −1.38251 | − | 8.46089i | −0.0445277 | − | 0.272507i | ||||
\(965\) | 22.2383 | − | 7.22567i | 0.715877 | − | 0.232603i | ||||
\(966\) | 9.02723 | − | 0.732668i | 0.290446 | − | 0.0235732i | ||||
\(967\) | 23.6696 | 0.761164 | 0.380582 | − | 0.924747i | \(-0.375724\pi\) | ||||
0.380582 | + | 0.924747i | \(0.375724\pi\) | |||||||
\(968\) | −27.8896 | + | 13.7902i | −0.896406 | + | 0.443234i | ||||
\(969\) | −0.412063 | −0.0132374 | ||||||||
\(970\) | 13.9249 | − | 1.13018i | 0.447103 | − | 0.0362878i | ||||
\(971\) | −51.2925 | + | 16.6659i | −1.64606 | + | 0.534836i | −0.977880 | − | 0.209168i | \(-0.932924\pi\) |
−0.668176 | + | 0.744004i | \(0.732924\pi\) | |||||||
\(972\) | −4.94916 | − | 30.2886i | −0.158745 | − | 0.971507i | ||||
\(973\) | −8.28781 | − | 6.02145i | −0.265695 | − | 0.193039i | ||||
\(974\) | −5.22741 | + | 2.18025i | −0.167497 | + | 0.0698598i | ||||
\(975\) | −2.59056 | + | 7.97291i | −0.0829642 | + | 0.255338i | ||||
\(976\) | 1.61363 | − | 5.13660i | 0.0516509 | − | 0.164419i | ||||
\(977\) | 7.76321 | − | 5.64030i | 0.248367 | − | 0.180449i | −0.456636 | − | 0.889654i | \(-0.650946\pi\) |
0.705003 | + | 0.709204i | \(0.250946\pi\) | |||||||
\(978\) | −8.99601 | − | 5.48256i | −0.287661 | − | 0.175313i | ||||
\(979\) | 17.7957 | − | 1.93169i | 0.568752 | − | 0.0617371i | ||||
\(980\) | 5.37494 | + | 10.4226i | 0.171696 | + | 0.332938i | ||||
\(981\) | −12.9095 | − | 17.7684i | −0.412168 | − | 0.567300i | ||||
\(982\) | 3.65797 | − | 15.4023i | 0.116730 | − | 0.491508i | ||||
\(983\) | −33.5747 | − | 10.9091i | −1.07087 | − | 0.347945i | −0.280041 | − | 0.959988i | \(-0.590348\pi\) |
−0.790824 | + | 0.612043i | \(0.790348\pi\) | |||||||
\(984\) | −7.80472 | + | 9.27504i | −0.248805 | + | 0.295678i | ||||
\(985\) | −2.76715 | + | 3.80866i | −0.0881688 | + | 0.121354i | ||||
\(986\) | 0.295545 | − | 0.253671i | 0.00941206 | − | 0.00807854i | ||||
\(987\) | −3.65449 | − | 11.2474i | −0.116324 | − | 0.358007i | ||||
\(988\) | 25.4359 | − | 50.5301i | 0.809225 | − | 1.60758i | ||||
\(989\) | − | 10.0631i | − | 0.319987i | ||||||
\(990\) | −15.2278 | + | 2.91454i | −0.483970 | + | 0.0926303i | ||||
\(991\) | 17.8021i | 0.565502i | 0.959193 | + | 0.282751i | \(0.0912471\pi\) | ||||
−0.959193 | + | 0.282751i | \(0.908753\pi\) | |||||||
\(992\) | 17.9487 | + | 10.6994i | 0.569872 | + | 0.339707i | ||||
\(993\) | 7.77591 | + | 23.9318i | 0.246761 | + | 0.759452i | ||||
\(994\) | −10.4624 | − | 12.1894i | −0.331848 | − | 0.386626i | ||||
\(995\) | −8.92918 | + | 12.2900i | −0.283074 | + | 0.389618i | ||||
\(996\) | 5.28869 | + | 0.811160i | 0.167579 | + | 0.0257026i | ||||
\(997\) | −59.8586 | − | 19.4492i | −1.89574 | − | 0.615963i | −0.973144 | − | 0.230197i | \(-0.926063\pi\) |
−0.922596 | − | 0.385766i | \(-0.873937\pi\) | |||||||
\(998\) | 54.1647 | + | 12.8638i | 1.71455 | + | 0.407198i | ||||
\(999\) | −16.3251 | − | 22.4695i | −0.516503 | − | 0.710905i |
(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 | 44.2.g.a.19.1 | yes | 16 | |
3.2 | odd | 2 | 396.2.r.a.19.4 | 16 | |||
4.3 | odd | 2 | inner | 44.2.g.a.19.3 | yes | 16 | |
8.3 | odd | 2 | 704.2.u.c.63.3 | 16 | |||
8.5 | even | 2 | 704.2.u.c.63.2 | 16 | |||
11.2 | odd | 10 | 484.2.c.d.483.3 | 16 | |||
11.3 | even | 5 | 484.2.g.j.215.2 | 16 | |||
11.4 | even | 5 | 484.2.g.i.403.2 | 16 | |||
11.5 | even | 5 | 484.2.g.f.475.4 | 16 | |||
11.6 | odd | 10 | 484.2.g.j.475.1 | 16 | |||
11.7 | odd | 10 | inner | 44.2.g.a.7.3 | yes | 16 | |
11.8 | odd | 10 | 484.2.g.f.215.3 | 16 | |||
11.9 | even | 5 | 484.2.c.d.483.14 | 16 | |||
11.10 | odd | 2 | 484.2.g.i.239.4 | 16 | |||
12.11 | even | 2 | 396.2.r.a.19.2 | 16 | |||
33.29 | even | 10 | 396.2.r.a.271.2 | 16 | |||
44.3 | odd | 10 | 484.2.g.j.215.1 | 16 | |||
44.7 | even | 10 | inner | 44.2.g.a.7.1 | ✓ | 16 | |
44.15 | odd | 10 | 484.2.g.i.403.4 | 16 | |||
44.19 | even | 10 | 484.2.g.f.215.4 | 16 | |||
44.27 | odd | 10 | 484.2.g.f.475.3 | 16 | |||
44.31 | odd | 10 | 484.2.c.d.483.4 | 16 | |||
44.35 | even | 10 | 484.2.c.d.483.13 | 16 | |||
44.39 | even | 10 | 484.2.g.j.475.2 | 16 | |||
44.43 | even | 2 | 484.2.g.i.239.2 | 16 | |||
88.29 | odd | 10 | 704.2.u.c.447.3 | 16 | |||
88.51 | even | 10 | 704.2.u.c.447.2 | 16 | |||
132.95 | odd | 10 | 396.2.r.a.271.4 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
44.2.g.a.7.1 | ✓ | 16 | 44.7 | even | 10 | inner | |
44.2.g.a.7.3 | yes | 16 | 11.7 | odd | 10 | inner | |
44.2.g.a.19.1 | yes | 16 | 1.1 | even | 1 | trivial | |
44.2.g.a.19.3 | yes | 16 | 4.3 | odd | 2 | inner | |
396.2.r.a.19.2 | 16 | 12.11 | even | 2 | |||
396.2.r.a.19.4 | 16 | 3.2 | odd | 2 | |||
396.2.r.a.271.2 | 16 | 33.29 | even | 10 | |||
396.2.r.a.271.4 | 16 | 132.95 | odd | 10 | |||
484.2.c.d.483.3 | 16 | 11.2 | odd | 10 | |||
484.2.c.d.483.4 | 16 | 44.31 | odd | 10 | |||
484.2.c.d.483.13 | 16 | 44.35 | even | 10 | |||
484.2.c.d.483.14 | 16 | 11.9 | even | 5 | |||
484.2.g.f.215.3 | 16 | 11.8 | odd | 10 | |||
484.2.g.f.215.4 | 16 | 44.19 | even | 10 | |||
484.2.g.f.475.3 | 16 | 44.27 | odd | 10 | |||
484.2.g.f.475.4 | 16 | 11.5 | even | 5 | |||
484.2.g.i.239.2 | 16 | 44.43 | even | 2 | |||
484.2.g.i.239.4 | 16 | 11.10 | odd | 2 | |||
484.2.g.i.403.2 | 16 | 11.4 | even | 5 | |||
484.2.g.i.403.4 | 16 | 44.15 | odd | 10 | |||
484.2.g.j.215.1 | 16 | 44.3 | odd | 10 | |||
484.2.g.j.215.2 | 16 | 11.3 | even | 5 | |||
484.2.g.j.475.1 | 16 | 11.6 | odd | 10 | |||
484.2.g.j.475.2 | 16 | 44.39 | even | 10 | |||
704.2.u.c.63.2 | 16 | 8.5 | even | 2 | |||
704.2.u.c.63.3 | 16 | 8.3 | odd | 2 | |||
704.2.u.c.447.2 | 16 | 88.51 | even | 10 | |||
704.2.u.c.447.3 | 16 | 88.29 | odd | 10 |