Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(535,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.535");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.e (of order \(2\), degree \(1\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 535.7 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.b.535.8 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.16630 | − | 0.799841i | −0.824698 | − | 0.565573i | ||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | 0.720507 | + | 1.86571i | 0.360254 | + | 0.932854i | ||||
\(5\) | − | 0.864540i | − | 0.386634i | −0.981136 | − | 0.193317i | \(-0.938075\pi\) | ||
0.981136 | − | 0.193317i | \(-0.0619246\pi\) | |||||||
\(6\) | −1.16630 | − | 0.799841i | −0.476140 | − | 0.326534i | ||||
\(7\) | −1.73467 | −0.655645 | −0.327822 | − | 0.944739i | \(-0.606315\pi\) | ||||
−0.327822 | + | 0.944739i | \(0.606315\pi\) | |||||||
\(8\) | 0.651944 | − | 2.75227i | 0.230497 | − | 0.973073i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −0.691495 | + | 1.00831i | −0.218670 | + | 0.318856i | ||||
\(11\) | −5.29746 | −1.59725 | −0.798623 | − | 0.601832i | \(-0.794438\pi\) | ||||
−0.798623 | + | 0.601832i | \(0.794438\pi\) | |||||||
\(12\) | 0.720507 | + | 1.86571i | 0.207993 | + | 0.538584i | ||||
\(13\) | 1.41228i | 0.391696i | 0.980634 | + | 0.195848i | \(0.0627459\pi\) | ||||
−0.980634 | + | 0.195848i | \(0.937254\pi\) | |||||||
\(14\) | 2.02315 | + | 1.38746i | 0.540709 | + | 0.370815i | ||||
\(15\) | − | 0.864540i | − | 0.223223i | ||||||
\(16\) | −2.96174 | + | 2.68851i | −0.740435 | + | 0.672128i | ||||
\(17\) | −4.82537 | −1.17033 | −0.585163 | − | 0.810916i | \(-0.698969\pi\) | ||||
−0.585163 | + | 0.810916i | \(0.698969\pi\) | |||||||
\(18\) | −1.16630 | − | 0.799841i | −0.274899 | − | 0.188524i | ||||
\(19\) | 4.26064i | 0.977457i | 0.872436 | + | 0.488728i | \(0.162539\pi\) | ||||
−0.872436 | + | 0.488728i | \(0.837461\pi\) | |||||||
\(20\) | 1.61298 | − | 0.622907i | 0.360673 | − | 0.139286i | ||||
\(21\) | −1.73467 | −0.378537 | ||||||||
\(22\) | 6.17843 | + | 4.23713i | 1.31724 | + | 0.903359i | ||||
\(23\) | 1.92153i | 0.400666i | 0.979728 | + | 0.200333i | \(0.0642024\pi\) | ||||
−0.979728 | + | 0.200333i | \(0.935798\pi\) | |||||||
\(24\) | 0.651944 | − | 2.75227i | 0.133078 | − | 0.561804i | ||||
\(25\) | 4.25257 | 0.850514 | ||||||||
\(26\) | 1.12960 | − | 1.64714i | 0.221533 | − | 0.323031i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | −1.24984 | − | 3.23639i | −0.236198 | − | 0.611621i | ||||
\(29\) | −2.13848 | −0.397106 | −0.198553 | − | 0.980090i | \(-0.563624\pi\) | ||||
−0.198553 | + | 0.980090i | \(0.563624\pi\) | |||||||
\(30\) | −0.691495 | + | 1.00831i | −0.126249 | + | 0.184092i | ||||
\(31\) | −5.52447 | −0.992223 | −0.496112 | − | 0.868259i | \(-0.665239\pi\) | ||||
−0.496112 | + | 0.868259i | \(0.665239\pi\) | |||||||
\(32\) | 5.60466 | − | 0.766689i | 0.990773 | − | 0.135533i | ||||
\(33\) | −5.29746 | −0.922170 | ||||||||
\(34\) | 5.62783 | + | 3.85953i | 0.965165 | + | 0.661905i | ||||
\(35\) | 1.49969i | 0.253495i | ||||||||
\(36\) | 0.720507 | + | 1.86571i | 0.120085 | + | 0.310951i | ||||
\(37\) | −7.24325 | −1.19078 | −0.595391 | − | 0.803436i | \(-0.703003\pi\) | ||||
−0.595391 | + | 0.803436i | \(0.703003\pi\) | |||||||
\(38\) | 3.40783 | − | 4.96918i | 0.552823 | − | 0.806107i | ||||
\(39\) | 1.41228i | 0.226146i | ||||||||
\(40\) | −2.37944 | − | 0.563632i | −0.376223 | − | 0.0891181i | ||||
\(41\) | − | 0.306352i | − | 0.0478442i | −0.999714 | − | 0.0239221i | \(-0.992385\pi\) | ||
0.999714 | − | 0.0239221i | \(-0.00761537\pi\) | |||||||
\(42\) | 2.02315 | + | 1.38746i | 0.312178 | + | 0.214090i | ||||
\(43\) | 1.13429 | 0.172977 | 0.0864885 | − | 0.996253i | \(-0.472435\pi\) | ||||
0.0864885 | + | 0.996253i | \(0.472435\pi\) | |||||||
\(44\) | −3.81686 | − | 9.88352i | −0.575413 | − | 1.49000i | ||||
\(45\) | − | 0.864540i | − | 0.128878i | ||||||
\(46\) | 1.53692 | − | 2.24107i | 0.226606 | − | 0.330428i | ||||
\(47\) | 11.9232i | 1.73918i | 0.493775 | + | 0.869590i | \(0.335617\pi\) | ||||
−0.493775 | + | 0.869590i | \(0.664383\pi\) | |||||||
\(48\) | −2.96174 | + | 2.68851i | −0.427490 | + | 0.388053i | ||||
\(49\) | −3.99091 | −0.570130 | ||||||||
\(50\) | −4.95977 | − | 3.40138i | −0.701417 | − | 0.481028i | ||||
\(51\) | −4.82537 | −0.675687 | ||||||||
\(52\) | −2.63490 | + | 1.01756i | −0.365395 | + | 0.141110i | ||||
\(53\) | − | 8.91687i | − | 1.22483i | −0.790538 | − | 0.612413i | \(-0.790199\pi\) | ||
0.790538 | − | 0.612413i | \(-0.209801\pi\) | |||||||
\(54\) | −1.16630 | − | 0.799841i | −0.158713 | − | 0.108845i | ||||
\(55\) | 4.57987i | 0.617550i | ||||||||
\(56\) | −1.13091 | + | 4.77428i | −0.151124 | + | 0.637990i | ||||
\(57\) | 4.26064i | 0.564335i | ||||||||
\(58\) | 2.49411 | + | 1.71044i | 0.327492 | + | 0.224592i | ||||
\(59\) | − | 14.4219i | − | 1.87757i | −0.344508 | − | 0.938784i | \(-0.611954\pi\) | ||
0.344508 | − | 0.938784i | \(-0.388046\pi\) | |||||||
\(60\) | 1.61298 | − | 0.622907i | 0.208235 | − | 0.0804170i | ||||
\(61\) | 12.4421i | 1.59305i | 0.604606 | + | 0.796525i | \(0.293331\pi\) | ||||
−0.604606 | + | 0.796525i | \(0.706669\pi\) | |||||||
\(62\) | 6.44318 | + | 4.41870i | 0.818285 | + | 0.561175i | ||||
\(63\) | −1.73467 | −0.218548 | ||||||||
\(64\) | −7.14994 | − | 3.58865i | −0.893742 | − | 0.448581i | ||||
\(65\) | 1.22097 | 0.151443 | ||||||||
\(66\) | 6.17843 | + | 4.23713i | 0.760512 | + | 0.521555i | ||||
\(67\) | −7.97425 | + | 1.84697i | −0.974210 | + | 0.225644i | ||||
\(68\) | −3.47672 | − | 9.00274i | −0.421614 | − | 1.09174i | ||||
\(69\) | 1.92153i | 0.231324i | ||||||||
\(70\) | 1.19952 | − | 1.74909i | 0.143370 | − | 0.209057i | ||||
\(71\) | − | 8.13841i | − | 0.965852i | −0.875661 | − | 0.482926i | \(-0.839574\pi\) | ||
0.875661 | − | 0.482926i | \(-0.160426\pi\) | |||||||
\(72\) | 0.651944 | − | 2.75227i | 0.0768324 | − | 0.324358i | ||||
\(73\) | 12.8776 | 1.50720 | 0.753602 | − | 0.657331i | \(-0.228315\pi\) | ||||
0.753602 | + | 0.657331i | \(0.228315\pi\) | |||||||
\(74\) | 8.44779 | + | 5.79345i | 0.982036 | + | 0.673475i | ||||
\(75\) | 4.25257 | 0.491045 | ||||||||
\(76\) | −7.94910 | + | 3.06982i | −0.911825 | + | 0.352132i | ||||
\(77\) | 9.18937 | 1.04723 | ||||||||
\(78\) | 1.12960 | − | 1.64714i | 0.127902 | − | 0.186502i | ||||
\(79\) | −8.20011 | −0.922584 | −0.461292 | − | 0.887248i | \(-0.652614\pi\) | ||||
−0.461292 | + | 0.887248i | \(0.652614\pi\) | |||||||
\(80\) | 2.32433 | + | 2.56054i | 0.259868 | + | 0.286277i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −0.245033 | + | 0.357299i | −0.0270594 | + | 0.0394570i | ||||
\(83\) | 0.390864i | 0.0429029i | 0.999770 | + | 0.0214514i | \(0.00682873\pi\) | ||||
−0.999770 | + | 0.0214514i | \(0.993171\pi\) | |||||||
\(84\) | −1.24984 | − | 3.23639i | −0.136369 | − | 0.353120i | ||||
\(85\) | 4.17173i | 0.452488i | ||||||||
\(86\) | −1.32292 | − | 0.907249i | −0.142654 | − | 0.0978312i | ||||
\(87\) | −2.13848 | −0.229269 | ||||||||
\(88\) | −3.45365 | + | 14.5800i | −0.368160 | + | 1.55424i | ||||
\(89\) | −5.73285 | −0.607681 | −0.303840 | − | 0.952723i | \(-0.598269\pi\) | ||||
−0.303840 | + | 0.952723i | \(0.598269\pi\) | |||||||
\(90\) | −0.691495 | + | 1.00831i | −0.0728900 | + | 0.106285i | ||||
\(91\) | − | 2.44984i | − | 0.256813i | ||||||
\(92\) | −3.58501 | + | 1.38447i | −0.373763 | + | 0.144341i | ||||
\(93\) | −5.52447 | −0.572860 | ||||||||
\(94\) | 9.53668 | − | 13.9060i | 0.983634 | − | 1.43430i | ||||
\(95\) | 3.68349 | 0.377918 | ||||||||
\(96\) | 5.60466 | − | 0.766689i | 0.572023 | − | 0.0782499i | ||||
\(97\) | 14.5334i | 1.47564i | 0.674998 | + | 0.737820i | \(0.264144\pi\) | ||||
−0.674998 | + | 0.737820i | \(0.735856\pi\) | |||||||
\(98\) | 4.65459 | + | 3.19209i | 0.470185 | + | 0.322450i | ||||
\(99\) | −5.29746 | −0.532415 | ||||||||
\(100\) | 3.06401 | + | 7.93406i | 0.306401 | + | 0.793406i | ||||
\(101\) | 13.9988i | 1.39293i | 0.717591 | + | 0.696465i | \(0.245245\pi\) | ||||
−0.717591 | + | 0.696465i | \(0.754755\pi\) | |||||||
\(102\) | 5.62783 | + | 3.85953i | 0.557238 | + | 0.382151i | ||||
\(103\) | − | 13.2752i | − | 1.30805i | −0.756474 | − | 0.654024i | \(-0.773080\pi\) | ||
0.756474 | − | 0.654024i | \(-0.226920\pi\) | |||||||
\(104\) | 3.88697 | + | 0.920728i | 0.381149 | + | 0.0902848i | ||||
\(105\) | 1.49969i | 0.146355i | ||||||||
\(106\) | −7.13209 | + | 10.3997i | −0.692729 | + | 1.01011i | ||||
\(107\) | 18.1278i | 1.75248i | 0.481871 | + | 0.876242i | \(0.339957\pi\) | ||||
−0.481871 | + | 0.876242i | \(0.660043\pi\) | |||||||
\(108\) | 0.720507 | + | 1.86571i | 0.0693308 | + | 0.179528i | ||||
\(109\) | − | 0.269146i | − | 0.0257795i | −0.999917 | − | 0.0128897i | \(-0.995897\pi\) | ||
0.999917 | − | 0.0128897i | \(-0.00410304\pi\) | |||||||
\(110\) | 3.66317 | − | 5.34150i | 0.349270 | − | 0.509292i | ||||
\(111\) | −7.24325 | −0.687499 | ||||||||
\(112\) | 5.13765 | − | 4.66369i | 0.485462 | − | 0.440677i | ||||
\(113\) | 8.30424i | 0.781198i | 0.920561 | + | 0.390599i | \(0.127732\pi\) | ||||
−0.920561 | + | 0.390599i | \(0.872268\pi\) | |||||||
\(114\) | 3.40783 | − | 4.96918i | 0.319173 | − | 0.465406i | ||||
\(115\) | 1.66124 | 0.154911 | ||||||||
\(116\) | −1.54079 | − | 3.98978i | −0.143059 | − | 0.370442i | ||||
\(117\) | 1.41228i | 0.130565i | ||||||||
\(118\) | −11.5352 | + | 16.8202i | −1.06190 | + | 1.54843i | ||||
\(119\) | 8.37045 | 0.767317 | ||||||||
\(120\) | −2.37944 | − | 0.563632i | −0.217213 | − | 0.0514523i | ||||
\(121\) | 17.0631 | 1.55119 | ||||||||
\(122\) | 9.95172 | − | 14.5112i | 0.900986 | − | 1.31378i | ||||
\(123\) | − | 0.306352i | − | 0.0276229i | ||||||
\(124\) | −3.98042 | − | 10.3070i | −0.357452 | − | 0.925600i | ||||
\(125\) | − | 7.99922i | − | 0.715472i | ||||||
\(126\) | 2.02315 | + | 1.38746i | 0.180236 | + | 0.123605i | ||||
\(127\) | − | 5.90821i | − | 0.524269i | −0.965031 | − | 0.262135i | \(-0.915574\pi\) | ||
0.965031 | − | 0.262135i | \(-0.0844265\pi\) | |||||||
\(128\) | 5.46862 | + | 9.90425i | 0.483362 | + | 0.875421i | ||||
\(129\) | 1.13429 | 0.0998683 | ||||||||
\(130\) | −1.42402 | − | 0.976585i | −0.124895 | − | 0.0856522i | ||||
\(131\) | − | 6.08889i | − | 0.531989i | −0.963975 | − | 0.265994i | \(-0.914300\pi\) | ||
0.963975 | − | 0.265994i | \(-0.0857003\pi\) | |||||||
\(132\) | −3.81686 | − | 9.88352i | −0.332215 | − | 0.860250i | ||||
\(133\) | − | 7.39081i | − | 0.640864i | ||||||
\(134\) | 10.7776 | + | 4.22401i | 0.931047 | + | 0.364899i | ||||
\(135\) | − | 0.864540i | − | 0.0744078i | ||||||
\(136\) | −3.14587 | + | 13.2807i | −0.269757 | + | 1.13881i | ||||
\(137\) | − | 15.3658i | − | 1.31279i | −0.754418 | − | 0.656394i | \(-0.772081\pi\) | ||
0.754418 | − | 0.656394i | \(-0.227919\pi\) | |||||||
\(138\) | 1.53692 | − | 2.24107i | 0.130831 | − | 0.190773i | ||||
\(139\) | 5.86116 | 0.497137 | 0.248569 | − | 0.968614i | \(-0.420040\pi\) | ||||
0.248569 | + | 0.968614i | \(0.420040\pi\) | |||||||
\(140\) | −2.79799 | + | 1.08054i | −0.236474 | + | 0.0913224i | ||||
\(141\) | 11.9232i | 1.00412i | ||||||||
\(142\) | −6.50944 | + | 9.49182i | −0.546260 | + | 0.796536i | ||||
\(143\) | − | 7.48150i | − | 0.625635i | ||||||
\(144\) | −2.96174 | + | 2.68851i | −0.246812 | + | 0.224043i | ||||
\(145\) | 1.84880i | 0.153535i | ||||||||
\(146\) | −15.0191 | − | 10.3000i | −1.24299 | − | 0.852434i | ||||
\(147\) | −3.99091 | −0.329165 | ||||||||
\(148\) | −5.21881 | − | 13.5138i | −0.428984 | − | 1.11083i | ||||
\(149\) | −6.79582 | −0.556735 | −0.278368 | − | 0.960475i | \(-0.589793\pi\) | ||||
−0.278368 | + | 0.960475i | \(0.589793\pi\) | |||||||
\(150\) | −4.95977 | − | 3.40138i | −0.404963 | − | 0.277722i | ||||
\(151\) | − | 7.39573i | − | 0.601856i | −0.953647 | − | 0.300928i | \(-0.902704\pi\) | ||
0.953647 | − | 0.300928i | \(-0.0972964\pi\) | |||||||
\(152\) | 11.7264 | + | 2.77770i | 0.951137 | + | 0.225301i | ||||
\(153\) | −4.82537 | −0.390108 | ||||||||
\(154\) | −10.7175 | − | 7.35004i | −0.863645 | − | 0.592283i | ||||
\(155\) | 4.77612i | 0.383627i | ||||||||
\(156\) | −2.63490 | + | 1.01756i | −0.210961 | + | 0.0814699i | ||||
\(157\) | −0.0538536 | −0.00429799 | −0.00214899 | − | 0.999998i | \(-0.500684\pi\) | ||||
−0.00214899 | + | 0.999998i | \(0.500684\pi\) | |||||||
\(158\) | 9.56378 | + | 6.55879i | 0.760853 | + | 0.521789i | ||||
\(159\) | − | 8.91687i | − | 0.707154i | ||||||
\(160\) | −0.662834 | − | 4.84545i | −0.0524016 | − | 0.383067i | ||||
\(161\) | − | 3.33322i | − | 0.262694i | ||||||
\(162\) | −1.16630 | − | 0.799841i | −0.0916331 | − | 0.0628415i | ||||
\(163\) | − | 12.2858i | − | 0.962295i | −0.876640 | − | 0.481148i | \(-0.840220\pi\) | ||
0.876640 | − | 0.481148i | \(-0.159780\pi\) | |||||||
\(164\) | 0.571564 | − | 0.220729i | 0.0446317 | − | 0.0172361i | ||||
\(165\) | 4.57987i | 0.356542i | ||||||||
\(166\) | 0.312629 | − | 0.455864i | 0.0242647 | − | 0.0353819i | ||||
\(167\) | − | 4.12074i | − | 0.318873i | −0.987208 | − | 0.159436i | \(-0.949032\pi\) | ||
0.987208 | − | 0.159436i | \(-0.0509677\pi\) | |||||||
\(168\) | −1.13091 | + | 4.77428i | −0.0872516 | + | 0.368344i | ||||
\(169\) | 11.0055 | 0.846574 | ||||||||
\(170\) | 3.33672 | − | 4.86548i | 0.255915 | − | 0.373166i | ||||
\(171\) | 4.26064i | 0.325819i | ||||||||
\(172\) | 0.817261 | + | 2.11625i | 0.0623156 | + | 0.161362i | ||||
\(173\) | −7.30908 | −0.555699 | −0.277850 | − | 0.960625i | \(-0.589622\pi\) | ||||
−0.277850 | + | 0.960625i | \(0.589622\pi\) | |||||||
\(174\) | 2.49411 | + | 1.71044i | 0.189078 | + | 0.129668i | ||||
\(175\) | −7.37682 | −0.557635 | ||||||||
\(176\) | 15.6897 | − | 14.2423i | 1.18266 | − | 1.07355i | ||||
\(177\) | − | 14.4219i | − | 1.08401i | ||||||
\(178\) | 6.68621 | + | 4.58537i | 0.501153 | + | 0.343688i | ||||
\(179\) | 0.730284 | 0.0545840 | 0.0272920 | − | 0.999628i | \(-0.491312\pi\) | ||||
0.0272920 | + | 0.999628i | \(0.491312\pi\) | |||||||
\(180\) | 1.61298 | − | 0.622907i | 0.120224 | − | 0.0464288i | ||||
\(181\) | −12.7461 | −0.947412 | −0.473706 | − | 0.880683i | \(-0.657084\pi\) | ||||
−0.473706 | + | 0.880683i | \(0.657084\pi\) | |||||||
\(182\) | −1.95949 | + | 2.85725i | −0.145247 | + | 0.211794i | ||||
\(183\) | 12.4421i | 0.919747i | ||||||||
\(184\) | 5.28855 | + | 1.25273i | 0.389877 | + | 0.0923523i | ||||
\(185\) | 6.26208i | 0.460397i | ||||||||
\(186\) | 6.44318 | + | 4.41870i | 0.472437 | + | 0.323995i | ||||
\(187\) | 25.5622 | 1.86930 | ||||||||
\(188\) | −22.2452 | + | 8.59076i | −1.62240 | + | 0.626546i | ||||
\(189\) | −1.73467 | −0.126179 | ||||||||
\(190\) | −4.29605 | − | 2.94621i | −0.311668 | − | 0.213740i | ||||
\(191\) | −22.8704 | −1.65484 | −0.827420 | − | 0.561583i | \(-0.810192\pi\) | ||||
−0.827420 | + | 0.561583i | \(0.810192\pi\) | |||||||
\(192\) | −7.14994 | − | 3.58865i | −0.516002 | − | 0.258988i | ||||
\(193\) | 17.6675 | 1.27173 | 0.635866 | − | 0.771800i | \(-0.280643\pi\) | ||||
0.635866 | + | 0.771800i | \(0.280643\pi\) | |||||||
\(194\) | 11.6244 | − | 16.9502i | 0.834582 | − | 1.21696i | ||||
\(195\) | 1.22097 | 0.0874357 | ||||||||
\(196\) | −2.87548 | − | 7.44587i | −0.205391 | − | 0.531848i | ||||
\(197\) | − | 8.79635i | − | 0.626714i | −0.949635 | − | 0.313357i | \(-0.898546\pi\) | ||
0.949635 | − | 0.313357i | \(-0.101454\pi\) | |||||||
\(198\) | 6.17843 | + | 4.23713i | 0.439082 | + | 0.301120i | ||||
\(199\) | − | 12.5962i | − | 0.892921i | −0.894803 | − | 0.446461i | \(-0.852684\pi\) | ||
0.894803 | − | 0.446461i | \(-0.147316\pi\) | |||||||
\(200\) | 2.77244 | − | 11.7042i | 0.196041 | − | 0.827612i | ||||
\(201\) | −7.97425 | + | 1.84697i | −0.562460 | + | 0.130275i | ||||
\(202\) | 11.1968 | − | 16.3268i | 0.787804 | − | 1.14875i | ||||
\(203\) | 3.70956 | 0.260360 | ||||||||
\(204\) | −3.47672 | − | 9.00274i | −0.243419 | − | 0.630318i | ||||
\(205\) | −0.264854 | −0.0184982 | ||||||||
\(206\) | −10.6181 | + | 15.4829i | −0.739797 | + | 1.07874i | ||||
\(207\) | 1.92153i | 0.133555i | ||||||||
\(208\) | −3.79693 | − | 4.18280i | −0.263270 | − | 0.290025i | ||||
\(209\) | − | 22.5706i | − | 1.56124i | ||||||
\(210\) | 1.19952 | − | 1.74909i | 0.0827746 | − | 0.120699i | ||||
\(211\) | − | 22.3042i | − | 1.53549i | −0.640757 | − | 0.767744i | \(-0.721379\pi\) | ||
0.640757 | − | 0.767744i | \(-0.278621\pi\) | |||||||
\(212\) | 16.6363 | − | 6.42467i | 1.14259 | − | 0.441248i | ||||
\(213\) | − | 8.13841i | − | 0.557635i | ||||||
\(214\) | 14.4994 | − | 21.1425i | 0.991158 | − | 1.44527i | ||||
\(215\) | − | 0.980636i | − | 0.0668788i | ||||||
\(216\) | 0.651944 | − | 2.75227i | 0.0443592 | − | 0.187268i | ||||
\(217\) | 9.58314 | 0.650546 | ||||||||
\(218\) | −0.215274 | + | 0.313904i | −0.0145802 | + | 0.0212603i | ||||
\(219\) | 12.8776 | 0.870184 | ||||||||
\(220\) | −8.54470 | + | 3.29983i | −0.576084 | + | 0.222474i | ||||
\(221\) | − | 6.81478i | − | 0.458412i | ||||||
\(222\) | 8.44779 | + | 5.79345i | 0.566979 | + | 0.388831i | ||||
\(223\) | − | 7.97926i | − | 0.534331i | −0.963651 | − | 0.267165i | \(-0.913913\pi\) | ||
0.963651 | − | 0.267165i | \(-0.0860870\pi\) | |||||||
\(224\) | −9.72225 | + | 1.32996i | −0.649595 | + | 0.0888614i | ||||
\(225\) | 4.25257 | 0.283505 | ||||||||
\(226\) | 6.64208 | − | 9.68523i | 0.441825 | − | 0.644252i | ||||
\(227\) | 2.50636i | 0.166353i | 0.996535 | + | 0.0831765i | \(0.0265065\pi\) | ||||
−0.996535 | + | 0.0831765i | \(0.973493\pi\) | |||||||
\(228\) | −7.94910 | + | 3.06982i | −0.526442 | + | 0.203304i | ||||
\(229\) | − | 14.1223i | − | 0.933226i | −0.884462 | − | 0.466613i | \(-0.845474\pi\) | ||
0.884462 | − | 0.466613i | \(-0.154526\pi\) | |||||||
\(230\) | −1.93750 | − | 1.32873i | −0.127755 | − | 0.0876136i | ||||
\(231\) | 9.18937 | 0.604616 | ||||||||
\(232\) | −1.39417 | + | 5.88567i | −0.0915317 | + | 0.386413i | ||||
\(233\) | 19.5570i | 1.28122i | 0.767866 | + | 0.640610i | \(0.221318\pi\) | ||||
−0.767866 | + | 0.640610i | \(0.778682\pi\) | |||||||
\(234\) | 1.12960 | − | 1.64714i | 0.0738443 | − | 0.107677i | ||||
\(235\) | 10.3081 | 0.672426 | ||||||||
\(236\) | 26.9070 | − | 10.3911i | 1.75150 | − | 0.676400i | ||||
\(237\) | −8.20011 | −0.532654 | ||||||||
\(238\) | −9.76244 | − | 6.69503i | −0.632805 | − | 0.433974i | ||||
\(239\) | −2.10620 | −0.136239 | −0.0681193 | − | 0.997677i | \(-0.521700\pi\) | ||||
−0.0681193 | + | 0.997677i | \(0.521700\pi\) | |||||||
\(240\) | 2.32433 | + | 2.56054i | 0.150035 | + | 0.165282i | ||||
\(241\) | 6.84337 | 0.440821 | 0.220410 | − | 0.975407i | \(-0.429260\pi\) | ||||
0.220410 | + | 0.975407i | \(0.429260\pi\) | |||||||
\(242\) | −19.9007 | − | 13.6478i | −1.27927 | − | 0.877313i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −23.2134 | + | 8.96463i | −1.48608 | + | 0.573902i | ||||
\(245\) | 3.45030i | 0.220432i | ||||||||
\(246\) | −0.245033 | + | 0.357299i | −0.0156228 | + | 0.0227805i | ||||
\(247\) | −6.01721 | −0.382866 | ||||||||
\(248\) | −3.60164 | + | 15.2048i | −0.228705 | + | 0.965506i | ||||
\(249\) | 0.390864i | 0.0247700i | ||||||||
\(250\) | −6.39811 | + | 9.32948i | −0.404652 | + | 0.590048i | ||||
\(251\) | 23.8453 | 1.50510 | 0.752551 | − | 0.658534i | \(-0.228823\pi\) | ||||
0.752551 | + | 0.658534i | \(0.228823\pi\) | |||||||
\(252\) | −1.24984 | − | 3.23639i | −0.0787328 | − | 0.203874i | ||||
\(253\) | − | 10.1792i | − | 0.639961i | ||||||
\(254\) | −4.72564 | + | 6.89075i | −0.296513 | + | 0.432364i | ||||
\(255\) | 4.17173i | 0.261244i | ||||||||
\(256\) | 1.54379 | − | 15.9253i | 0.0964870 | − | 0.995334i | ||||
\(257\) | 9.09968 | 0.567623 | 0.283811 | − | 0.958880i | \(-0.408401\pi\) | ||||
0.283811 | + | 0.958880i | \(0.408401\pi\) | |||||||
\(258\) | −1.32292 | − | 0.907249i | −0.0823612 | − | 0.0564829i | ||||
\(259\) | 12.5647 | 0.780731 | ||||||||
\(260\) | 0.879720 | + | 2.27798i | 0.0545579 | + | 0.141274i | ||||
\(261\) | −2.13848 | −0.132369 | ||||||||
\(262\) | −4.87015 | + | 7.10147i | −0.300879 | + | 0.438730i | ||||
\(263\) | 27.3721i | 1.68783i | 0.536474 | + | 0.843917i | \(0.319756\pi\) | ||||
−0.536474 | + | 0.843917i | \(0.680244\pi\) | |||||||
\(264\) | −3.45365 | + | 14.5800i | −0.212558 | + | 0.897339i | ||||
\(265\) | −7.70900 | −0.473560 | ||||||||
\(266\) | −5.91148 | + | 8.61989i | −0.362456 | + | 0.528520i | ||||
\(267\) | −5.73285 | −0.350845 | ||||||||
\(268\) | −9.19142 | − | 13.5469i | −0.561455 | − | 0.827507i | ||||
\(269\) | 6.06672 | 0.369894 | 0.184947 | − | 0.982748i | \(-0.440789\pi\) | ||||
0.184947 | + | 0.982748i | \(0.440789\pi\) | |||||||
\(270\) | −0.691495 | + | 1.00831i | −0.0420831 | + | 0.0613639i | ||||
\(271\) | −0.0167864 | −0.00101970 | −0.000509850 | − | 1.00000i | \(-0.500162\pi\) | ||||
−0.000509850 | 1.00000i | \(0.500162\pi\) | ||||||||
\(272\) | 14.2915 | − | 12.9731i | 0.866549 | − | 0.786609i | ||||
\(273\) | − | 2.44984i | − | 0.148271i | ||||||
\(274\) | −12.2902 | + | 17.9211i | −0.742478 | + | 1.08265i | ||||
\(275\) | −22.5278 | −1.35848 | ||||||||
\(276\) | −3.58501 | + | 1.38447i | −0.215792 | + | 0.0833355i | ||||
\(277\) | 2.17332 | 0.130582 | 0.0652911 | − | 0.997866i | \(-0.479202\pi\) | ||||
0.0652911 | + | 0.997866i | \(0.479202\pi\) | |||||||
\(278\) | −6.83587 | − | 4.68800i | −0.409988 | − | 0.281168i | ||||
\(279\) | −5.52447 | −0.330741 | ||||||||
\(280\) | 4.12756 | + | 0.977717i | 0.246669 | + | 0.0584298i | ||||
\(281\) | − | 12.9816i | − | 0.774419i | −0.921992 | − | 0.387210i | \(-0.873439\pi\) | ||
0.921992 | − | 0.387210i | \(-0.126561\pi\) | |||||||
\(282\) | 9.53668 | − | 13.9060i | 0.567901 | − | 0.828092i | ||||
\(283\) | 21.6115i | 1.28467i | 0.766423 | + | 0.642336i | \(0.222035\pi\) | ||||
−0.766423 | + | 0.642336i | \(0.777965\pi\) | |||||||
\(284\) | 15.1839 | − | 5.86378i | 0.900999 | − | 0.347952i | ||||
\(285\) | 3.68349 | 0.218191 | ||||||||
\(286\) | −5.98402 | + | 8.72567i | −0.353842 | + | 0.515960i | ||||
\(287\) | 0.531421i | 0.0313688i | ||||||||
\(288\) | 5.60466 | − | 0.766689i | 0.330258 | − | 0.0451776i | ||||
\(289\) | 6.28423 | 0.369661 | ||||||||
\(290\) | 1.47875 | − | 2.15626i | 0.0868351 | − | 0.126620i | ||||
\(291\) | 14.5334i | 0.851961i | ||||||||
\(292\) | 9.27837 | + | 24.0258i | 0.542976 | + | 1.40600i | ||||
\(293\) | −20.3556 | −1.18919 | −0.594594 | − | 0.804026i | \(-0.702687\pi\) | ||||
−0.594594 | + | 0.804026i | \(0.702687\pi\) | |||||||
\(294\) | 4.65459 | + | 3.19209i | 0.271461 | + | 0.186167i | ||||
\(295\) | −12.4683 | −0.725932 | ||||||||
\(296\) | −4.72219 | + | 19.9353i | −0.274472 | + | 1.15872i | ||||
\(297\) | −5.29746 | −0.307390 | ||||||||
\(298\) | 7.92596 | + | 5.43558i | 0.459139 | + | 0.314875i | ||||
\(299\) | −2.71373 | −0.156939 | ||||||||
\(300\) | 3.06401 | + | 7.93406i | 0.176901 | + | 0.458073i | ||||
\(301\) | −1.96762 | −0.113411 | ||||||||
\(302\) | −5.91541 | + | 8.62564i | −0.340394 | + | 0.496350i | ||||
\(303\) | 13.9988i | 0.804209i | ||||||||
\(304\) | −11.4548 | − | 12.6189i | −0.656976 | − | 0.723743i | ||||
\(305\) | 10.7567 | 0.615927 | ||||||||
\(306\) | 5.62783 | + | 3.85953i | 0.321722 | + | 0.220635i | ||||
\(307\) | 19.9608i | 1.13922i | 0.821914 | + | 0.569612i | \(0.192907\pi\) | ||||
−0.821914 | + | 0.569612i | \(0.807093\pi\) | |||||||
\(308\) | 6.62101 | + | 17.1447i | 0.377267 | + | 0.976909i | ||||
\(309\) | − | 13.2752i | − | 0.755202i | ||||||
\(310\) | 3.82014 | − | 5.57039i | 0.216969 | − | 0.316377i | ||||
\(311\) | 5.81890 | 0.329960 | 0.164980 | − | 0.986297i | \(-0.447244\pi\) | ||||
0.164980 | + | 0.986297i | \(0.447244\pi\) | |||||||
\(312\) | 3.88697 | + | 0.920728i | 0.220056 | + | 0.0521260i | ||||
\(313\) | 6.55868i | 0.370719i | 0.982671 | + | 0.185359i | \(0.0593449\pi\) | ||||
−0.982671 | + | 0.185359i | \(0.940655\pi\) | |||||||
\(314\) | 0.0628094 | + | 0.0430744i | 0.00354454 | + | 0.00243083i | ||||
\(315\) | 1.49969i | 0.0844982i | ||||||||
\(316\) | −5.90824 | − | 15.2990i | −0.332364 | − | 0.860637i | ||||
\(317\) | −31.6370 | −1.77691 | −0.888455 | − | 0.458963i | \(-0.848221\pi\) | ||||
−0.888455 | + | 0.458963i | \(0.848221\pi\) | |||||||
\(318\) | −7.13209 | + | 10.3997i | −0.399948 | + | 0.583189i | ||||
\(319\) | 11.3285 | 0.634275 | ||||||||
\(320\) | −3.10253 | + | 6.18141i | −0.173437 | + | 0.345551i | ||||
\(321\) | 18.1278i | 1.01180i | ||||||||
\(322\) | −2.66605 | + | 3.88753i | −0.148573 | + | 0.216644i | ||||
\(323\) | − | 20.5592i | − | 1.14394i | ||||||
\(324\) | 0.720507 | + | 1.86571i | 0.0400282 | + | 0.103650i | ||||
\(325\) | 6.00582i | 0.333143i | ||||||||
\(326\) | −9.82666 | + | 14.3289i | −0.544248 | + | 0.793603i | ||||
\(327\) | − | 0.269146i | − | 0.0148838i | ||||||
\(328\) | −0.843163 | − | 0.199725i | −0.0465559 | − | 0.0110280i | ||||
\(329\) | − | 20.6829i | − | 1.14028i | ||||||
\(330\) | 3.66317 | − | 5.34150i | 0.201651 | − | 0.294040i | ||||
\(331\) | 10.0039 | 0.549863 | 0.274932 | − | 0.961464i | \(-0.411345\pi\) | ||||
0.274932 | + | 0.961464i | \(0.411345\pi\) | |||||||
\(332\) | −0.729238 | + | 0.281620i | −0.0400221 | + | 0.0154559i | ||||
\(333\) | −7.24325 | −0.396928 | ||||||||
\(334\) | −3.29594 | + | 4.80602i | −0.180346 | + | 0.262974i | ||||
\(335\) | 1.59678 | + | 6.89406i | 0.0872415 | + | 0.376663i | ||||
\(336\) | 5.13765 | − | 4.66369i | 0.280282 | − | 0.254425i | ||||
\(337\) | − | 6.57449i | − | 0.358135i | −0.983837 | − | 0.179068i | \(-0.942692\pi\) | ||
0.983837 | − | 0.179068i | \(-0.0573081\pi\) | |||||||
\(338\) | −12.8357 | − | 8.80263i | −0.698168 | − | 0.478800i | ||||
\(339\) | 8.30424i | 0.451025i | ||||||||
\(340\) | −7.78323 | + | 3.00576i | −0.422105 | + | 0.163010i | ||||
\(341\) | 29.2657 | 1.58482 | ||||||||
\(342\) | 3.40783 | − | 4.96918i | 0.184274 | − | 0.268702i | ||||
\(343\) | 19.0656 | 1.02945 | ||||||||
\(344\) | 0.739491 | − | 3.12186i | 0.0398707 | − | 0.168319i | ||||
\(345\) | 1.66124 | 0.0894379 | ||||||||
\(346\) | 8.52458 | + | 5.84611i | 0.458284 | + | 0.314289i | ||||
\(347\) | 16.0583 | 0.862053 | 0.431026 | − | 0.902339i | \(-0.358152\pi\) | ||||
0.431026 | + | 0.902339i | \(0.358152\pi\) | |||||||
\(348\) | −1.54079 | − | 3.98978i | −0.0825950 | − | 0.213875i | ||||
\(349\) | −7.85175 | −0.420294 | −0.210147 | − | 0.977670i | \(-0.567394\pi\) | ||||
−0.210147 | + | 0.977670i | \(0.567394\pi\) | |||||||
\(350\) | 8.60358 | + | 5.90029i | 0.459881 | + | 0.315384i | ||||
\(351\) | 1.41228i | 0.0753819i | ||||||||
\(352\) | −29.6905 | + | 4.06151i | −1.58251 | + | 0.216479i | ||||
\(353\) | 8.89900i | 0.473646i | 0.971553 | + | 0.236823i | \(0.0761061\pi\) | ||||
−0.971553 | + | 0.236823i | \(0.923894\pi\) | |||||||
\(354\) | −11.5352 | + | 16.8202i | −0.613089 | + | 0.893984i | ||||
\(355\) | −7.03598 | −0.373431 | ||||||||
\(356\) | −4.13056 | − | 10.6958i | −0.218919 | − | 0.566877i | ||||
\(357\) | 8.37045 | 0.443011 | ||||||||
\(358\) | −0.851729 | − | 0.584111i | −0.0450153 | − | 0.0308712i | ||||
\(359\) | 14.9369i | 0.788339i | 0.919038 | + | 0.394169i | \(0.128968\pi\) | ||||
−0.919038 | + | 0.394169i | \(0.871032\pi\) | |||||||
\(360\) | −2.37944 | − | 0.563632i | −0.125408 | − | 0.0297060i | ||||
\(361\) | 0.846986 | 0.0445782 | ||||||||
\(362\) | 14.8658 | + | 10.1949i | 0.781329 | + | 0.535831i | ||||
\(363\) | 17.0631 | 0.895581 | ||||||||
\(364\) | 4.57070 | − | 1.76513i | 0.239570 | − | 0.0925180i | ||||
\(365\) | − | 11.1332i | − | 0.582736i | ||||||
\(366\) | 9.95172 | − | 14.5112i | 0.520185 | − | 0.758514i | ||||
\(367\) | 26.5010 | 1.38334 | 0.691672 | − | 0.722212i | \(-0.256875\pi\) | ||||
0.691672 | + | 0.722212i | \(0.256875\pi\) | |||||||
\(368\) | −5.16605 | − | 5.69106i | −0.269299 | − | 0.296667i | ||||
\(369\) | − | 0.306352i | − | 0.0159481i | ||||||
\(370\) | 5.00867 | − | 7.30346i | 0.260388 | − | 0.379689i | ||||
\(371\) | 15.4679i | 0.803051i | ||||||||
\(372\) | −3.98042 | − | 10.3070i | −0.206375 | − | 0.534395i | ||||
\(373\) | 20.8471i | 1.07942i | 0.841850 | + | 0.539711i | \(0.181467\pi\) | ||||
−0.841850 | + | 0.539711i | \(0.818533\pi\) | |||||||
\(374\) | −29.8132 | − | 20.4457i | −1.54160 | − | 1.05722i | ||||
\(375\) | − | 7.99922i | − | 0.413078i | ||||||
\(376\) | 32.8159 | + | 7.77327i | 1.69235 | + | 0.400876i | ||||
\(377\) | − | 3.02013i | − | 0.155545i | ||||||
\(378\) | 2.02315 | + | 1.38746i | 0.104059 | + | 0.0713634i | ||||
\(379\) | −26.9070 | −1.38212 | −0.691059 | − | 0.722799i | \(-0.742855\pi\) | ||||
−0.691059 | + | 0.722799i | \(0.742855\pi\) | |||||||
\(380\) | 2.65398 | + | 6.87232i | 0.136146 | + | 0.352543i | ||||
\(381\) | − | 5.90821i | − | 0.302687i | ||||||
\(382\) | 26.6737 | + | 18.2927i | 1.36474 | + | 0.935934i | ||||
\(383\) | −10.2607 | −0.524299 | −0.262149 | − | 0.965027i | \(-0.584431\pi\) | ||||
−0.262149 | + | 0.965027i | \(0.584431\pi\) | |||||||
\(384\) | 5.46862 | + | 9.90425i | 0.279069 | + | 0.505424i | ||||
\(385\) | − | 7.94458i | − | 0.404893i | ||||||
\(386\) | −20.6055 | − | 14.1312i | −1.04879 | − | 0.719258i | ||||
\(387\) | 1.13429 | 0.0576590 | ||||||||
\(388\) | −27.1150 | + | 10.4714i | −1.37656 | + | 0.531604i | ||||
\(389\) | 6.96170 | 0.352972 | 0.176486 | − | 0.984303i | \(-0.443527\pi\) | ||||
0.176486 | + | 0.984303i | \(0.443527\pi\) | |||||||
\(390\) | −1.42402 | − | 0.976585i | −0.0721080 | − | 0.0494513i | ||||
\(391\) | − | 9.27208i | − | 0.468909i | ||||||
\(392\) | −2.60185 | + | 10.9840i | −0.131413 | + | 0.554778i | ||||
\(393\) | − | 6.08889i | − | 0.307144i | ||||||
\(394\) | −7.03568 | + | 10.2592i | −0.354453 | + | 0.516850i | ||||
\(395\) | 7.08932i | 0.356703i | ||||||||
\(396\) | −3.81686 | − | 9.88352i | −0.191804 | − | 0.496666i | ||||
\(397\) | 6.12220 | 0.307265 | 0.153632 | − | 0.988128i | \(-0.450903\pi\) | ||||
0.153632 | + | 0.988128i | \(0.450903\pi\) | |||||||
\(398\) | −10.0750 | + | 14.6909i | −0.505013 | + | 0.736391i | ||||
\(399\) | − | 7.39081i | − | 0.370003i | ||||||
\(400\) | −12.5950 | + | 11.4331i | −0.629750 | + | 0.571655i | ||||
\(401\) | 27.0636i | 1.35149i | 0.737134 | + | 0.675747i | \(0.236179\pi\) | ||||
−0.737134 | + | 0.675747i | \(0.763821\pi\) | |||||||
\(402\) | 10.7776 | + | 4.22401i | 0.537540 | + | 0.210675i | ||||
\(403\) | − | 7.80209i | − | 0.388650i | ||||||
\(404\) | −26.1176 | + | 10.0862i | −1.29940 | + | 0.501808i | ||||
\(405\) | − | 0.864540i | − | 0.0429593i | ||||||
\(406\) | −4.32646 | − | 2.96706i | −0.214719 | − | 0.147253i | ||||
\(407\) | 38.3708 | 1.90197 | ||||||||
\(408\) | −3.14587 | + | 13.2807i | −0.155744 | + | 0.657493i | ||||
\(409\) | − | 20.7912i | − | 1.02806i | −0.857773 | − | 0.514028i | \(-0.828153\pi\) | ||
0.857773 | − | 0.514028i | \(-0.171847\pi\) | |||||||
\(410\) | 0.308899 | + | 0.211841i | 0.0152554 | + | 0.0104621i | ||||
\(411\) | − | 15.3658i | − | 0.757939i | ||||||
\(412\) | 24.7677 | − | 9.56490i | 1.22022 | − | 0.471229i | ||||
\(413\) | 25.0172i | 1.23102i | ||||||||
\(414\) | 1.53692 | − | 2.24107i | 0.0755353 | − | 0.110143i | ||||
\(415\) | 0.337917 | 0.0165877 | ||||||||
\(416\) | 1.08278 | + | 7.91535i | 0.0530877 | + | 0.388082i | ||||
\(417\) | 5.86116 | 0.287022 | ||||||||
\(418\) | −18.0529 | + | 26.3240i | −0.882995 | + | 1.28755i | ||||
\(419\) | 14.1385i | 0.690710i | 0.938472 | + | 0.345355i | \(0.112241\pi\) | ||||
−0.938472 | + | 0.345355i | \(0.887759\pi\) | |||||||
\(420\) | −2.79799 | + | 1.08054i | −0.136528 | + | 0.0527250i | ||||
\(421\) | −17.8438 | −0.869652 | −0.434826 | − | 0.900515i | \(-0.643190\pi\) | ||||
−0.434826 | + | 0.900515i | \(0.643190\pi\) | |||||||
\(422\) | −17.8399 | + | 26.0134i | −0.868431 | + | 1.26631i | ||||
\(423\) | 11.9232i | 0.579726i | ||||||||
\(424\) | −24.5416 | − | 5.81331i | −1.19185 | − | 0.282319i | ||||
\(425\) | −20.5202 | −0.995378 | ||||||||
\(426\) | −6.50944 | + | 9.49182i | −0.315383 | + | 0.459880i | ||||
\(427\) | − | 21.5830i | − | 1.04447i | ||||||
\(428\) | −33.8213 | + | 13.0612i | −1.63481 | + | 0.631339i | ||||
\(429\) | − | 7.48150i | − | 0.361210i | ||||||
\(430\) | −0.784353 | + | 1.14371i | −0.0378249 | + | 0.0551548i | ||||
\(431\) | 8.97477i | 0.432300i | 0.976360 | + | 0.216150i | \(0.0693500\pi\) | ||||
−0.976360 | + | 0.216150i | \(0.930650\pi\) | |||||||
\(432\) | −2.96174 | + | 2.68851i | −0.142497 | + | 0.129351i | ||||
\(433\) | 33.9473i | 1.63140i | 0.578473 | + | 0.815701i | \(0.303649\pi\) | ||||
−0.578473 | + | 0.815701i | \(0.696351\pi\) | |||||||
\(434\) | −11.1768 | − | 7.66499i | −0.536504 | − | 0.367931i | ||||
\(435\) | 1.84880i | 0.0886433i | ||||||||
\(436\) | 0.502147 | − | 0.193921i | 0.0240485 | − | 0.00928715i | ||||
\(437\) | −8.18692 | −0.391633 | ||||||||
\(438\) | −15.0191 | − | 10.3000i | −0.717639 | − | 0.492153i | ||||
\(439\) | 5.66649i | 0.270447i | 0.990815 | + | 0.135223i | \(0.0431752\pi\) | ||||
−0.990815 | + | 0.135223i | \(0.956825\pi\) | |||||||
\(440\) | 12.6050 | + | 2.98582i | 0.600921 | + | 0.142343i | ||||
\(441\) | −3.99091 | −0.190043 | ||||||||
\(442\) | −5.45074 | + | 7.94807i | −0.259265 | + | 0.378051i | ||||
\(443\) | −1.87188 | −0.0889358 | −0.0444679 | − | 0.999011i | \(-0.514159\pi\) | ||||
−0.0444679 | + | 0.999011i | \(0.514159\pi\) | |||||||
\(444\) | −5.21881 | − | 13.5138i | −0.247674 | − | 0.641336i | ||||
\(445\) | 4.95628i | 0.234950i | ||||||||
\(446\) | −6.38215 | + | 9.30621i | −0.302203 | + | 0.440662i | ||||
\(447\) | −6.79582 | −0.321431 | ||||||||
\(448\) | 12.4028 | + | 6.22513i | 0.585977 | + | 0.294110i | ||||
\(449\) | 4.44786 | 0.209907 | 0.104954 | − | 0.994477i | \(-0.466531\pi\) | ||||
0.104954 | + | 0.994477i | \(0.466531\pi\) | |||||||
\(450\) | −4.95977 | − | 3.40138i | −0.233806 | − | 0.160343i | ||||
\(451\) | 1.62289i | 0.0764189i | ||||||||
\(452\) | −15.4933 | + | 5.98327i | −0.728744 | + | 0.281429i | ||||
\(453\) | − | 7.39573i | − | 0.347482i | ||||||
\(454\) | 2.00469 | − | 2.92317i | 0.0940848 | − | 0.137191i | ||||
\(455\) | −2.11799 | −0.0992929 | ||||||||
\(456\) | 11.7264 | + | 2.77770i | 0.549139 | + | 0.130078i | ||||
\(457\) | −2.77148 | −0.129644 | −0.0648221 | − | 0.997897i | \(-0.520648\pi\) | ||||
−0.0648221 | + | 0.997897i | \(0.520648\pi\) | |||||||
\(458\) | −11.2956 | + | 16.4708i | −0.527808 | + | 0.769629i | ||||
\(459\) | −4.82537 | −0.225229 | ||||||||
\(460\) | 1.19693 | + | 3.09938i | 0.0558073 | + | 0.144509i | ||||
\(461\) | −13.1624 | −0.613033 | −0.306517 | − | 0.951865i | \(-0.599163\pi\) | ||||
−0.306517 | + | 0.951865i | \(0.599163\pi\) | |||||||
\(462\) | −10.7175 | − | 7.35004i | −0.498626 | − | 0.341955i | ||||
\(463\) | 39.7716 | 1.84834 | 0.924170 | − | 0.381980i | \(-0.124758\pi\) | ||||
0.924170 | + | 0.381980i | \(0.124758\pi\) | |||||||
\(464\) | 6.33362 | − | 5.74933i | 0.294031 | − | 0.266906i | ||||
\(465\) | 4.77612i | 0.221487i | ||||||||
\(466\) | 15.6425 | − | 22.8093i | 0.724624 | − | 1.05662i | ||||
\(467\) | − | 7.56735i | − | 0.350175i | −0.984553 | − | 0.175088i | \(-0.943979\pi\) | ||
0.984553 | − | 0.175088i | \(-0.0560209\pi\) | |||||||
\(468\) | −2.63490 | + | 1.01756i | −0.121798 | + | 0.0470366i | ||||
\(469\) | 13.8327 | − | 3.20389i | 0.638736 | − | 0.147942i | ||||
\(470\) | −12.0223 | − | 8.24484i | −0.554549 | − | 0.380306i | ||||
\(471\) | −0.0538536 | −0.00248144 | ||||||||
\(472\) | −39.6928 | − | 9.40225i | −1.82701 | − | 0.432774i | ||||
\(473\) | −6.00884 | −0.276287 | ||||||||
\(474\) | 9.56378 | + | 6.55879i | 0.439279 | + | 0.301255i | ||||
\(475\) | 18.1187i | 0.831341i | ||||||||
\(476\) | 6.03097 | + | 15.6168i | 0.276429 | + | 0.715795i | ||||
\(477\) | − | 8.91687i | − | 0.408276i | ||||||
\(478\) | 2.45646 | + | 1.68462i | 0.112356 | + | 0.0770529i | ||||
\(479\) | − | 2.91534i | − | 0.133205i | −0.997780 | − | 0.0666027i | \(-0.978784\pi\) | ||
0.997780 | − | 0.0666027i | \(-0.0212160\pi\) | |||||||
\(480\) | −0.662834 | − | 4.84545i | −0.0302541 | − | 0.221164i | ||||
\(481\) | − | 10.2295i | − | 0.466425i | ||||||
\(482\) | −7.98142 | − | 5.47361i | −0.363544 | − | 0.249316i | ||||
\(483\) | − | 3.33322i | − | 0.151667i | ||||||
\(484\) | 12.2941 | + | 31.8348i | 0.558823 | + | 1.44704i | ||||
\(485\) | 12.5647 | 0.570532 | ||||||||
\(486\) | −1.16630 | − | 0.799841i | −0.0529044 | − | 0.0362815i | ||||
\(487\) | −39.0862 | −1.77116 | −0.885582 | − | 0.464483i | \(-0.846240\pi\) | ||||
−0.885582 | + | 0.464483i | \(0.846240\pi\) | |||||||
\(488\) | 34.2440 | + | 8.11156i | 1.55015 | + | 0.367193i | ||||
\(489\) | − | 12.2858i | − | 0.555581i | ||||||
\(490\) | 2.75969 | − | 4.02408i | 0.124670 | − | 0.181790i | ||||
\(491\) | − | 9.17446i | − | 0.414037i | −0.978337 | − | 0.207019i | \(-0.933624\pi\) | ||
0.978337 | − | 0.207019i | \(-0.0663761\pi\) | |||||||
\(492\) | 0.571564 | − | 0.220729i | 0.0257681 | − | 0.00995124i | ||||
\(493\) | 10.3190 | 0.464743 | ||||||||
\(494\) | 7.01787 | + | 4.81281i | 0.315749 | + | 0.216539i | ||||
\(495\) | 4.57987i | 0.205850i | ||||||||
\(496\) | 16.3620 | − | 14.8526i | 0.734677 | − | 0.666901i | ||||
\(497\) | 14.1175i | 0.633256i | ||||||||
\(498\) | 0.312629 | − | 0.455864i | 0.0140092 | − | 0.0204278i | ||||
\(499\) | −22.8786 | −1.02419 | −0.512093 | − | 0.858930i | \(-0.671130\pi\) | ||||
−0.512093 | + | 0.858930i | \(0.671130\pi\) | |||||||
\(500\) | 14.9242 | − | 5.76350i | 0.667431 | − | 0.257751i | ||||
\(501\) | − | 4.12074i | − | 0.184101i | ||||||
\(502\) | −27.8108 | − | 19.0725i | −1.24126 | − | 0.851246i | ||||
\(503\) | −1.07299 | −0.0478422 | −0.0239211 | − | 0.999714i | \(-0.507615\pi\) | ||||
−0.0239211 | + | 0.999714i | \(0.507615\pi\) | |||||||
\(504\) | −1.13091 | + | 4.77428i | −0.0503747 | + | 0.212663i | ||||
\(505\) | 12.1025 | 0.538554 | ||||||||
\(506\) | −8.14175 | + | 11.8720i | −0.361945 | + | 0.527775i | ||||
\(507\) | 11.0055 | 0.488770 | ||||||||
\(508\) | 11.0230 | − | 4.25691i | 0.489067 | − | 0.188870i | ||||
\(509\) | −40.6639 | −1.80239 | −0.901197 | − | 0.433410i | \(-0.857310\pi\) | ||||
−0.901197 | + | 0.433410i | \(0.857310\pi\) | |||||||
\(510\) | 3.33672 | − | 4.86548i | 0.147753 | − | 0.215447i | ||||
\(511\) | −22.3383 | −0.988190 | ||||||||
\(512\) | −14.5383 | + | 17.3389i | −0.642507 | + | 0.766280i | ||||
\(513\) | 4.26064i | 0.188112i | ||||||||
\(514\) | −10.6130 | − | 7.27830i | −0.468117 | − | 0.321032i | ||||
\(515\) | −11.4770 | −0.505736 | ||||||||
\(516\) | 0.817261 | + | 2.11625i | 0.0359779 | + | 0.0931626i | ||||
\(517\) | − | 63.1628i | − | 2.77790i | ||||||
\(518\) | −14.6542 | − | 10.0497i | −0.643867 | − | 0.441560i | ||||
\(519\) | −7.30908 | −0.320833 | ||||||||
\(520\) | 0.796006 | − | 3.36044i | 0.0349072 | − | 0.147365i | ||||
\(521\) | − | 3.99748i | − | 0.175133i | −0.996159 | − | 0.0875663i | \(-0.972091\pi\) | ||
0.996159 | − | 0.0875663i | \(-0.0279090\pi\) | |||||||
\(522\) | 2.49411 | + | 1.71044i | 0.109164 | + | 0.0748641i | ||||
\(523\) | 0.0484445i | 0.00211833i | 0.999999 | + | 0.00105916i | \(0.000337143\pi\) | ||||
−0.999999 | + | 0.00105916i | \(0.999663\pi\) | |||||||
\(524\) | 11.3601 | − | 4.38709i | 0.496268 | − | 0.191651i | ||||
\(525\) | −7.37682 | −0.321951 | ||||||||
\(526\) | 21.8933 | − | 31.9240i | 0.954594 | − | 1.39195i | ||||
\(527\) | 26.6576 | 1.16122 | ||||||||
\(528\) | 15.6897 | − | 14.2423i | 0.682807 | − | 0.619817i | ||||
\(529\) | 19.3077 | 0.839467 | ||||||||
\(530\) | 8.99100 | + | 6.16598i | 0.390544 | + | 0.267833i | ||||
\(531\) | − | 14.4219i | − | 0.625856i | ||||||
\(532\) | 13.7891 | − | 5.32513i | 0.597833 | − | 0.230874i | ||||
\(533\) | 0.432656 | 0.0187404 | ||||||||
\(534\) | 6.68621 | + | 4.58537i | 0.289341 | + | 0.198428i | ||||
\(535\) | 15.6722 | 0.677570 | ||||||||
\(536\) | −0.115408 | + | 23.1514i | −0.00498488 | + | 0.999988i | ||||
\(537\) | 0.730284 | 0.0315141 | ||||||||
\(538\) | −7.07561 | − | 4.85241i | −0.305051 | − | 0.209202i | ||||
\(539\) | 21.1417 | 0.910637 | ||||||||
\(540\) | 1.61298 | − | 0.622907i | 0.0694116 | − | 0.0268057i | ||||
\(541\) | − | 1.19504i | − | 0.0513788i | −0.999670 | − | 0.0256894i | \(-0.991822\pi\) | ||
0.999670 | − | 0.0256894i | \(-0.00817809\pi\) | |||||||
\(542\) | 0.0195779 | + | 0.0134264i | 0.000840945 | + | 0.000576715i | ||||
\(543\) | −12.7461 | −0.546988 | ||||||||
\(544\) | −27.0446 | + | 3.69956i | −1.15953 | + | 0.158617i | ||||
\(545\) | −0.232687 | −0.00996722 | ||||||||
\(546\) | −1.95949 | + | 2.85725i | −0.0838583 | + | 0.122279i | ||||
\(547\) | 8.81373 | 0.376848 | 0.188424 | − | 0.982088i | \(-0.439662\pi\) | ||||
0.188424 | + | 0.982088i | \(0.439662\pi\) | |||||||
\(548\) | 28.6681 | − | 11.0712i | 1.22464 | − | 0.472937i | ||||
\(549\) | 12.4421i | 0.531016i | ||||||||
\(550\) | 26.2742 | + | 18.0187i | 1.12034 | + | 0.768320i | ||||
\(551\) | − | 9.11128i | − | 0.388154i | ||||||
\(552\) | 5.28855 | + | 1.25273i | 0.225096 | + | 0.0533196i | ||||
\(553\) | 14.2245 | 0.604888 | ||||||||
\(554\) | −2.53474 | − | 1.73831i | −0.107691 | − | 0.0738538i | ||||
\(555\) | 6.26208i | 0.265810i | ||||||||
\(556\) | 4.22301 | + | 10.9352i | 0.179096 | + | 0.463757i | ||||
\(557\) | −10.9826 | −0.465349 | −0.232675 | − | 0.972555i | \(-0.574748\pi\) | ||||
−0.232675 | + | 0.972555i | \(0.574748\pi\) | |||||||
\(558\) | 6.44318 | + | 4.41870i | 0.272762 | + | 0.187058i | ||||
\(559\) | 1.60193i | 0.0677544i | ||||||||
\(560\) | −4.03195 | − | 4.44170i | −0.170381 | − | 0.187696i | ||||
\(561\) | 25.5622 | 1.07924 | ||||||||
\(562\) | −10.3833 | + | 15.1405i | −0.437991 | + | 0.638662i | ||||
\(563\) | −38.0350 | −1.60298 | −0.801491 | − | 0.598006i | \(-0.795960\pi\) | ||||
−0.801491 | + | 0.598006i | \(0.795960\pi\) | |||||||
\(564\) | −22.2452 | + | 8.59076i | −0.936694 | + | 0.361736i | ||||
\(565\) | 7.17935 | 0.302038 | ||||||||
\(566\) | 17.2858 | − | 25.2055i | 0.726576 | − | 1.05947i | ||||
\(567\) | −1.73467 | −0.0728494 | ||||||||
\(568\) | −22.3991 | − | 5.30579i | −0.939844 | − | 0.222626i | ||||
\(569\) | 25.6937 | 1.07714 | 0.538569 | − | 0.842582i | \(-0.318965\pi\) | ||||
0.538569 | + | 0.842582i | \(0.318965\pi\) | |||||||
\(570\) | −4.29605 | − | 2.94621i | −0.179942 | − | 0.123403i | ||||
\(571\) | − | 0.476282i | − | 0.0199318i | −0.999950 | − | 0.00996588i | \(-0.996828\pi\) | ||
0.999950 | − | 0.00996588i | \(-0.00317229\pi\) | |||||||
\(572\) | 13.9583 | − | 5.39048i | 0.583626 | − | 0.225387i | ||||
\(573\) | −22.8704 | −0.955423 | ||||||||
\(574\) | 0.425053 | − | 0.619796i | 0.0177414 | − | 0.0258698i | ||||
\(575\) | 8.17142i | 0.340772i | ||||||||
\(576\) | −7.14994 | − | 3.58865i | −0.297914 | − | 0.149527i | ||||
\(577\) | − | 33.5594i | − | 1.39710i | −0.715563 | − | 0.698549i | \(-0.753830\pi\) | ||
0.715563 | − | 0.698549i | \(-0.246170\pi\) | |||||||
\(578\) | −7.32929 | − | 5.02639i | −0.304858 | − | 0.209070i | ||||
\(579\) | 17.6675 | 0.734235 | ||||||||
\(580\) | −3.44933 | + | 1.33208i | −0.143225 | + | 0.0553114i | ||||
\(581\) | − | 0.678021i | − | 0.0281290i | ||||||
\(582\) | 11.6244 | − | 16.9502i | 0.481846 | − | 0.702610i | ||||
\(583\) | 47.2368i | 1.95635i | ||||||||
\(584\) | 8.39545 | − | 35.4425i | 0.347406 | − | 1.46662i | ||||
\(585\) | 1.22097 | 0.0504810 | ||||||||
\(586\) | 23.7407 | + | 16.2813i | 0.980721 | + | 0.672573i | ||||
\(587\) | −30.0349 | −1.23967 | −0.619837 | − | 0.784731i | \(-0.712801\pi\) | ||||
−0.619837 | + | 0.784731i | \(0.712801\pi\) | |||||||
\(588\) | −2.87548 | − | 7.44587i | −0.118583 | − | 0.307063i | ||||
\(589\) | − | 23.5377i | − | 0.969855i | ||||||
\(590\) | 14.5417 | + | 9.97265i | 0.598674 | + | 0.410568i | ||||
\(591\) | − | 8.79635i | − | 0.361833i | ||||||
\(592\) | 21.4526 | − | 19.4736i | 0.881697 | − | 0.800359i | ||||
\(593\) | 24.2923i | 0.997565i | 0.866727 | + | 0.498783i | \(0.166219\pi\) | ||||
−0.866727 | + | 0.498783i | \(0.833781\pi\) | |||||||
\(594\) | 6.17843 | + | 4.23713i | 0.253504 | + | 0.173852i | ||||
\(595\) | − | 7.23659i | − | 0.296671i | ||||||
\(596\) | −4.89644 | − | 12.6790i | −0.200566 | − | 0.519353i | ||||
\(597\) | − | 12.5962i | − | 0.515528i | ||||||
\(598\) | 3.16502 | + | 2.17056i | 0.129427 | + | 0.0887606i | ||||
\(599\) | 19.6921 | 0.804599 | 0.402300 | − | 0.915508i | \(-0.368211\pi\) | ||||
0.402300 | + | 0.915508i | \(0.368211\pi\) | |||||||
\(600\) | 2.77244 | − | 11.7042i | 0.113184 | − | 0.477822i | ||||
\(601\) | −38.9082 | −1.58710 | −0.793549 | − | 0.608506i | \(-0.791769\pi\) | ||||
−0.793549 | + | 0.608506i | \(0.791769\pi\) | |||||||
\(602\) | 2.29483 | + | 1.57378i | 0.0935302 | + | 0.0641425i | ||||
\(603\) | −7.97425 | + | 1.84697i | −0.324737 | + | 0.0752145i | ||||
\(604\) | 13.7983 | − | 5.32868i | 0.561444 | − | 0.216821i | ||||
\(605\) | − | 14.7517i | − | 0.599744i | ||||||
\(606\) | 11.1968 | − | 16.3268i | 0.454839 | − | 0.663229i | ||||
\(607\) | 40.9177i | 1.66080i | 0.557169 | + | 0.830399i | \(0.311888\pi\) | ||||
−0.557169 | + | 0.830399i | \(0.688112\pi\) | |||||||
\(608\) | 3.26658 | + | 23.8794i | 0.132477 | + | 0.968438i | ||||
\(609\) | 3.70956 | 0.150319 | ||||||||
\(610\) | −12.5455 | − | 8.60366i | −0.507954 | − | 0.348352i | ||||
\(611\) | −16.8389 | −0.681230 | ||||||||
\(612\) | −3.47672 | − | 9.00274i | −0.140538 | − | 0.363914i | ||||
\(613\) | −16.6415 | −0.672143 | −0.336072 | − | 0.941836i | \(-0.609098\pi\) | ||||
−0.336072 | + | 0.941836i | \(0.609098\pi\) | |||||||
\(614\) | 15.9655 | − | 23.2803i | 0.644315 | − | 0.939516i | ||||
\(615\) | −0.264854 | −0.0106799 | ||||||||
\(616\) | 5.99096 | − | 25.2916i | 0.241382 | − | 1.01903i | ||||
\(617\) | 22.4008 | 0.901823 | 0.450911 | − | 0.892569i | \(-0.351099\pi\) | ||||
0.450911 | + | 0.892569i | \(0.351099\pi\) | |||||||
\(618\) | −10.6181 | + | 15.4829i | −0.427122 | + | 0.622813i | ||||
\(619\) | − | 12.4972i | − | 0.502307i | −0.967947 | − | 0.251153i | \(-0.919190\pi\) | ||
0.967947 | − | 0.251153i | \(-0.0808098\pi\) | |||||||
\(620\) | −8.91085 | + | 3.44123i | −0.357869 | + | 0.138203i | ||||
\(621\) | 1.92153i | 0.0771082i | ||||||||
\(622\) | −6.78658 | − | 4.65420i | −0.272117 | − | 0.186616i | ||||
\(623\) | 9.94462 | 0.398423 | ||||||||
\(624\) | −3.79693 | − | 4.18280i | −0.151999 | − | 0.167446i | ||||
\(625\) | 14.3472 | 0.573888 | ||||||||
\(626\) | 5.24590 | − | 7.64938i | 0.209668 | − | 0.305731i | ||||
\(627\) | − | 22.5706i | − | 0.901381i | ||||||
\(628\) | −0.0388019 | − | 0.100475i | −0.00154837 | − | 0.00400940i | ||||
\(629\) | 34.9514 | 1.39360 | ||||||||
\(630\) | 1.19952 | − | 1.74909i | 0.0477899 | − | 0.0696855i | ||||
\(631\) | 24.8311 | 0.988509 | 0.494255 | − | 0.869317i | \(-0.335441\pi\) | ||||
0.494255 | + | 0.869317i | \(0.335441\pi\) | |||||||
\(632\) | −5.34601 | + | 22.5689i | −0.212653 | + | 0.897742i | ||||
\(633\) | − | 22.3042i | − | 0.886514i | ||||||
\(634\) | 36.8982 | + | 25.3046i | 1.46541 | + | 1.00497i | ||||
\(635\) | −5.10789 | −0.202700 | ||||||||
\(636\) | 16.6363 | − | 6.42467i | 0.659672 | − | 0.254755i | ||||
\(637\) | − | 5.63628i | − | 0.223318i | ||||||
\(638\) | −13.2124 | − | 9.06102i | −0.523085 | − | 0.358729i | ||||
\(639\) | − | 8.13841i | − | 0.321951i | ||||||
\(640\) | 8.56263 | − | 4.72784i | 0.338468 | − | 0.186884i | ||||
\(641\) | 41.9807i | 1.65814i | 0.559146 | + | 0.829069i | \(0.311129\pi\) | ||||
−0.559146 | + | 0.829069i | \(0.688871\pi\) | |||||||
\(642\) | 14.4994 | − | 21.1425i | 0.572246 | − | 0.834427i | ||||
\(643\) | 29.9711i | 1.18194i | 0.806692 | + | 0.590972i | \(0.201256\pi\) | ||||
−0.806692 | + | 0.590972i | \(0.798744\pi\) | |||||||
\(644\) | 6.21881 | − | 2.40161i | 0.245056 | − | 0.0946366i | ||||
\(645\) | − | 0.980636i | − | 0.0386125i | ||||||
\(646\) | −16.4441 | + | 23.9781i | −0.646983 | + | 0.943407i | ||||
\(647\) | 1.75809 | 0.0691176 | 0.0345588 | − | 0.999403i | \(-0.488997\pi\) | ||||
0.0345588 | + | 0.999403i | \(0.488997\pi\) | |||||||
\(648\) | 0.651944 | − | 2.75227i | 0.0256108 | − | 0.108119i | ||||
\(649\) | 76.3993i | 2.99893i | ||||||||
\(650\) | 4.80370 | − | 7.00458i | 0.188417 | − | 0.274742i | ||||
\(651\) | 9.58314 | 0.375593 | ||||||||
\(652\) | 22.9217 | − | 8.85198i | 0.897681 | − | 0.346670i | ||||
\(653\) | 44.5874i | 1.74484i | 0.488756 | + | 0.872420i | \(0.337451\pi\) | ||||
−0.488756 | + | 0.872420i | \(0.662549\pi\) | |||||||
\(654\) | −0.215274 | + | 0.313904i | −0.00841787 | + | 0.0122746i | ||||
\(655\) | −5.26409 | −0.205685 | ||||||||
\(656\) | 0.823633 | + | 0.907336i | 0.0321575 | + | 0.0354255i | ||||
\(657\) | 12.8776 | 0.502401 | ||||||||
\(658\) | −16.5430 | + | 24.1224i | −0.644914 | + | 0.940390i | ||||
\(659\) | − | 18.8246i | − | 0.733301i | −0.930359 | − | 0.366650i | \(-0.880505\pi\) | ||
0.930359 | − | 0.366650i | \(-0.119495\pi\) | |||||||
\(660\) | −8.54470 | + | 3.29983i | −0.332602 | + | 0.128446i | ||||
\(661\) | − | 12.7361i | − | 0.495376i | −0.968840 | − | 0.247688i | \(-0.920329\pi\) | ||
0.968840 | − | 0.247688i | \(-0.0796708\pi\) | |||||||
\(662\) | −11.6675 | − | 8.00152i | −0.453471 | − | 0.310988i | ||||
\(663\) | − | 6.81478i | − | 0.264664i | ||||||
\(664\) | 1.07576 | + | 0.254821i | 0.0417476 | + | 0.00988899i | ||||
\(665\) | −6.38965 | −0.247780 | ||||||||
\(666\) | 8.44779 | + | 5.79345i | 0.327345 | + | 0.224492i | ||||
\(667\) | − | 4.10914i | − | 0.159107i | ||||||
\(668\) | 7.68811 | − | 2.96903i | 0.297462 | − | 0.114875i | ||||
\(669\) | − | 7.97926i | − | 0.308496i | ||||||
\(670\) | 3.65183 | − | 9.31771i | 0.141083 | − | 0.359975i | ||||
\(671\) | − | 65.9116i | − | 2.54449i | ||||||
\(672\) | −9.72225 | + | 1.32996i | −0.375044 | + | 0.0513041i | ||||
\(673\) | − | 47.3870i | − | 1.82664i | −0.407247 | − | 0.913318i | \(-0.633511\pi\) | ||
0.407247 | − | 0.913318i | \(-0.366489\pi\) | |||||||
\(674\) | −5.25855 | + | 7.66782i | −0.202552 | + | 0.295354i | ||||
\(675\) | 4.25257 | 0.163682 | ||||||||
\(676\) | 7.92952 | + | 20.5330i | 0.304981 | + | 0.789730i | ||||
\(677\) | 46.0441i | 1.76962i | 0.465954 | + | 0.884809i | \(0.345711\pi\) | ||||
−0.465954 | + | 0.884809i | \(0.654289\pi\) | |||||||
\(678\) | 6.64208 | − | 9.68523i | 0.255088 | − | 0.371959i | ||||
\(679\) | − | 25.2106i | − | 0.967495i | ||||||
\(680\) | 11.4817 | + | 2.71974i | 0.440303 | + | 0.104297i | ||||
\(681\) | 2.50636i | 0.0960440i | ||||||||
\(682\) | −34.1325 | − | 23.4079i | −1.30700 | − | 0.896334i | ||||
\(683\) | −38.9088 | −1.48880 | −0.744402 | − | 0.667732i | \(-0.767265\pi\) | ||||
−0.744402 | + | 0.667732i | \(0.767265\pi\) | |||||||
\(684\) | −7.94910 | + | 3.06982i | −0.303942 | + | 0.117377i | ||||
\(685\) | −13.2844 | −0.507569 | ||||||||
\(686\) | −22.2362 | − | 15.2495i | −0.848983 | − | 0.582228i | ||||
\(687\) | − | 14.1223i | − | 0.538798i | ||||||
\(688\) | −3.35946 | + | 3.04954i | −0.128078 | + | 0.116263i | ||||
\(689\) | 12.5931 | 0.479760 | ||||||||
\(690\) | −1.93750 | − | 1.32873i | −0.0737593 | − | 0.0505837i | ||||
\(691\) | 25.1098i | 0.955222i | 0.878571 | + | 0.477611i | \(0.158497\pi\) | ||||
−0.878571 | + | 0.477611i | \(0.841503\pi\) | |||||||
\(692\) | −5.26625 | − | 13.6366i | −0.200193 | − | 0.518386i | ||||
\(693\) | 9.18937 | 0.349075 | ||||||||
\(694\) | −18.7287 | − | 12.8441i | −0.710933 | − | 0.487554i | ||||
\(695\) | − | 5.06721i | − | 0.192210i | ||||||
\(696\) | −1.39417 | + | 5.88567i | −0.0528459 | + | 0.223096i | ||||
\(697\) | 1.47827i | 0.0559933i | ||||||||
\(698\) | 9.15749 | + | 6.28015i | 0.346616 | + | 0.237707i | ||||
\(699\) | 19.5570i | 0.739713i | ||||||||
\(700\) | −5.31505 | − | 13.7630i | −0.200890 | − | 0.520192i | ||||
\(701\) | − | 6.51175i | − | 0.245945i | −0.992410 | − | 0.122973i | \(-0.960757\pi\) | ||
0.992410 | − | 0.122973i | \(-0.0392427\pi\) | |||||||
\(702\) | 1.12960 | − | 1.64714i | 0.0426340 | − | 0.0621673i | ||||
\(703\) | − | 30.8608i | − | 1.16394i | ||||||
\(704\) | 37.8765 | + | 19.0107i | 1.42753 | + | 0.716494i | ||||
\(705\) | 10.3081 | 0.388225 | ||||||||
\(706\) | 7.11779 | − | 10.3789i | 0.267882 | − | 0.390615i | ||||
\(707\) | − | 24.2833i | − | 0.913267i | ||||||
\(708\) | 26.9070 | − | 10.3911i | 1.01123 | − | 0.390520i | ||||
\(709\) | −18.8407 | −0.707579 | −0.353790 | − | 0.935325i | \(-0.615107\pi\) | ||||
−0.353790 | + | 0.935325i | \(0.615107\pi\) | |||||||
\(710\) | 8.20606 | + | 5.62767i | 0.307968 | + | 0.211203i | ||||
\(711\) | −8.20011 | −0.307528 | ||||||||
\(712\) | −3.73750 | + | 15.7783i | −0.140069 | + | 0.591318i | ||||
\(713\) | − | 10.6154i | − | 0.397550i | ||||||
\(714\) | −9.76244 | − | 6.69503i | −0.365350 | − | 0.250555i | ||||
\(715\) | −6.46806 | −0.241892 | ||||||||
\(716\) | 0.526175 | + | 1.36250i | 0.0196641 | + | 0.0509189i | ||||
\(717\) | −2.10620 | −0.0786574 | ||||||||
\(718\) | 11.9471 | − | 17.4209i | 0.445863 | − | 0.650141i | ||||
\(719\) | − | 38.2761i | − | 1.42746i | −0.700423 | − | 0.713728i | \(-0.747005\pi\) | ||
0.700423 | − | 0.713728i | \(-0.252995\pi\) | |||||||
\(720\) | 2.32433 | + | 2.56054i | 0.0866226 | + | 0.0954258i | ||||
\(721\) | 23.0282i | 0.857615i | ||||||||
\(722\) | −0.987839 | − | 0.677454i | −0.0367636 | − | 0.0252122i | ||||
\(723\) | 6.84337 | 0.254508 | ||||||||
\(724\) | −9.18367 | − | 23.7806i | −0.341309 | − | 0.883797i | ||||
\(725\) | −9.09404 | −0.337744 | ||||||||
\(726\) | −19.9007 | − | 13.6478i | −0.738584 | − | 0.506517i | ||||
\(727\) | −19.4592 | −0.721703 | −0.360851 | − | 0.932623i | \(-0.617514\pi\) | ||||
−0.360851 | + | 0.932623i | \(0.617514\pi\) | |||||||
\(728\) | −6.74262 | − | 1.59716i | −0.249898 | − | 0.0591948i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −8.90477 | + | 12.9846i | −0.329580 | + | 0.480582i | ||||
\(731\) | −5.47335 | −0.202439 | ||||||||
\(732\) | −23.2134 | + | 8.96463i | −0.857990 | + | 0.331342i | ||||
\(733\) | − | 21.9331i | − | 0.810118i | −0.914291 | − | 0.405059i | \(-0.867251\pi\) | ||
0.914291 | − | 0.405059i | \(-0.132749\pi\) | |||||||
\(734\) | −30.9082 | − | 21.1966i | −1.14084 | − | 0.782382i | ||||
\(735\) | 3.45030i | 0.127266i | ||||||||
\(736\) | 1.47321 | + | 10.7695i | 0.0543034 | + | 0.396969i | ||||
\(737\) | 42.2433 | − | 9.78427i | 1.55605 | − | 0.360408i | ||||
\(738\) | −0.245033 | + | 0.357299i | −0.00901980 | + | 0.0131523i | ||||
\(739\) | −9.41137 | −0.346203 | −0.173101 | − | 0.984904i | \(-0.555379\pi\) | ||||
−0.173101 | + | 0.984904i | \(0.555379\pi\) | |||||||
\(740\) | −11.6832 | + | 4.51187i | −0.429484 | + | 0.165860i | ||||
\(741\) | −6.01721 | −0.221048 | ||||||||
\(742\) | 12.3718 | − | 18.0402i | 0.454184 | − | 0.662275i | ||||
\(743\) | 8.39736i | 0.308069i | 0.988065 | + | 0.154035i | \(0.0492268\pi\) | ||||
−0.988065 | + | 0.154035i | \(0.950773\pi\) | |||||||
\(744\) | −3.60164 | + | 15.2048i | −0.132043 | + | 0.557435i | ||||
\(745\) | 5.87526i | 0.215253i | ||||||||
\(746\) | 16.6744 | − | 24.3140i | 0.610492 | − | 0.890197i | ||||
\(747\) | 0.390864i | 0.0143010i | ||||||||
\(748\) | 18.4178 | + | 47.6917i | 0.673421 | + | 1.74378i | ||||
\(749\) | − | 31.4459i | − | 1.14901i | ||||||
\(750\) | −6.39811 | + | 9.32948i | −0.233626 | + | 0.340665i | ||||
\(751\) | 29.6677i | 1.08259i | 0.840833 | + | 0.541295i | \(0.182066\pi\) | ||||
−0.840833 | + | 0.541295i | \(0.817934\pi\) | |||||||
\(752\) | −32.0557 | − | 35.3134i | −1.16895 | − | 1.28775i | ||||
\(753\) | 23.8453 | 0.868971 | ||||||||
\(754\) | −2.41563 | + | 3.52238i | −0.0879720 | + | 0.128277i | ||||
\(755\) | −6.39391 | −0.232698 | ||||||||
\(756\) | −1.24984 | − | 3.23639i | −0.0454564 | − | 0.117707i | ||||
\(757\) | 29.9328i | 1.08793i | 0.839109 | + | 0.543963i | \(0.183077\pi\) | ||||
−0.839109 | + | 0.543963i | \(0.816923\pi\) | |||||||
\(758\) | 31.3816 | + | 21.5213i | 1.13983 | + | 0.781689i | ||||
\(759\) | − | 10.1792i | − | 0.369482i | ||||||
\(760\) | 2.40143 | − | 10.1379i | 0.0871090 | − | 0.367742i | ||||
\(761\) | 7.91305 | 0.286848 | 0.143424 | − | 0.989661i | \(-0.454189\pi\) | ||||
0.143424 | + | 0.989661i | \(0.454189\pi\) | |||||||
\(762\) | −4.72564 | + | 6.89075i | −0.171192 | + | 0.249625i | ||||
\(763\) | 0.466880i | 0.0169022i | ||||||||
\(764\) | −16.4783 | − | 42.6694i | −0.596162 | − | 1.54373i | ||||
\(765\) | 4.17173i | 0.150829i | ||||||||
\(766\) | 11.9671 | + | 8.20695i | 0.432388 | + | 0.296529i | ||||
\(767\) | 20.3677 | 0.735436 | ||||||||
\(768\) | 1.54379 | − | 15.9253i | 0.0557068 | − | 0.574656i | ||||
\(769\) | − | 12.1581i | − | 0.438433i | −0.975676 | − | 0.219216i | \(-0.929650\pi\) | ||
0.975676 | − | 0.219216i | \(-0.0703500\pi\) | |||||||
\(770\) | −6.35440 | + | 9.26575i | −0.228997 | + | 0.333915i | ||||
\(771\) | 9.09968 | 0.327717 | ||||||||
\(772\) | 12.7295 | + | 32.9623i | 0.458146 | + | 1.18634i | ||||
\(773\) | −26.3151 | −0.946490 | −0.473245 | − | 0.880931i | \(-0.656917\pi\) | ||||
−0.473245 | + | 0.880931i | \(0.656917\pi\) | |||||||
\(774\) | −1.32292 | − | 0.907249i | −0.0475513 | − | 0.0326104i | ||||
\(775\) | −23.4932 | −0.843900 | ||||||||
\(776\) | 39.9997 | + | 9.47494i | 1.43590 | + | 0.340131i | ||||
\(777\) | 12.5647 | 0.450755 | ||||||||
\(778\) | −8.11943 | − | 5.56826i | −0.291096 | − | 0.199632i | ||||
\(779\) | 1.30526 | 0.0467657 | ||||||||
\(780\) | 0.879720 | + | 2.27798i | 0.0314990 | + | 0.0815648i | ||||
\(781\) | 43.1129i | 1.54270i | ||||||||
\(782\) | −7.41619 | + | 10.8140i | −0.265202 | + | 0.386708i | ||||
\(783\) | −2.13848 | −0.0764230 | ||||||||
\(784\) | 11.8200 | − | 10.7296i | 0.422144 | − | 0.383200i | ||||
\(785\) | 0.0465586i | 0.00166175i | ||||||||
\(786\) | −4.87015 | + | 7.10147i | −0.173712 | + | 0.253301i | ||||
\(787\) | 44.6798 | 1.59266 | 0.796332 | − | 0.604860i | \(-0.206771\pi\) | ||||
0.796332 | + | 0.604860i | \(0.206771\pi\) | |||||||
\(788\) | 16.4114 | − | 6.33783i | 0.584633 | − | 0.225776i | ||||
\(789\) | 27.3721i | 0.974471i | ||||||||
\(790\) | 5.67034 | − | 8.26827i | 0.201741 | − | 0.294172i | ||||
\(791\) | − | 14.4051i | − | 0.512188i | ||||||
\(792\) | −3.45365 | + | 14.5800i | −0.122720 | + | 0.518079i | ||||
\(793\) | −17.5717 | −0.623991 | ||||||||
\(794\) | −7.14032 | − | 4.89679i | −0.253400 | − | 0.173781i | ||||
\(795\) | −7.70900 | −0.273410 | ||||||||
\(796\) | 23.5009 | − | 9.07566i | 0.832966 | − | 0.321678i | ||||
\(797\) | −37.3794 | −1.32405 | −0.662023 | − | 0.749484i | \(-0.730302\pi\) | ||||
−0.662023 | + | 0.749484i | \(0.730302\pi\) | |||||||
\(798\) | −5.91148 | + | 8.61989i | −0.209264 | + | 0.305141i | ||||
\(799\) | − | 57.5340i | − | 2.03541i | ||||||
\(800\) | 23.8342 | − | 3.26040i | 0.842666 | − | 0.115273i | ||||
\(801\) | −5.73285 | −0.202560 | ||||||||
\(802\) | 21.6466 | − | 31.5643i | 0.764369 | − | 1.11457i | ||||
\(803\) | −68.2184 | −2.40737 | ||||||||
\(804\) | −9.19142 | − | 13.5469i | −0.324156 | − | 0.477761i | ||||
\(805\) | −2.88170 | −0.101567 | ||||||||
\(806\) | −6.24044 | + | 9.09957i | −0.219810 | + | 0.320519i | ||||
\(807\) | 6.06672 | 0.213559 | ||||||||
\(808\) | 38.5284 | + | 9.12642i | 1.35542 | + | 0.321066i | ||||
\(809\) | − | 9.07289i | − | 0.318986i | −0.987199 | − | 0.159493i | \(-0.949014\pi\) | ||
0.987199 | − | 0.159493i | \(-0.0509859\pi\) | |||||||
\(810\) | −0.691495 | + | 1.00831i | −0.0242967 | + | 0.0354285i | ||||
\(811\) | −32.7514 | −1.15006 | −0.575028 | − | 0.818134i | \(-0.695009\pi\) | ||||
−0.575028 | + | 0.818134i | \(0.695009\pi\) | |||||||
\(812\) | 2.67277 | + | 6.92096i | 0.0937957 | + | 0.242878i | ||||
\(813\) | −0.0167864 | −0.000588724 | ||||||||
\(814\) | −44.7519 | − | 30.6906i | −1.56855 | − | 1.07570i | ||||
\(815\) | −10.6215 | −0.372056 | ||||||||
\(816\) | 14.2915 | − | 12.9731i | 0.500302 | − | 0.454149i | ||||
\(817\) | 4.83278i | 0.169078i | ||||||||
\(818\) | −16.6296 | + | 24.2487i | −0.581441 | + | 0.847836i | ||||
\(819\) | − | 2.44984i | − | 0.0856045i | ||||||
\(820\) | −0.190829 | − | 0.494140i | −0.00666405 | − | 0.0172561i | ||||
\(821\) | −41.3209 | −1.44211 | −0.721054 | − | 0.692879i | \(-0.756342\pi\) | ||||
−0.721054 | + | 0.692879i | \(0.756342\pi\) | |||||||
\(822\) | −12.2902 | + | 17.9211i | −0.428670 | + | 0.625071i | ||||
\(823\) | 22.8183i | 0.795397i | 0.917516 | + | 0.397698i | \(0.130191\pi\) | ||||
−0.917516 | + | 0.397698i | \(0.869809\pi\) | |||||||
\(824\) | −36.5370 | − | 8.65471i | −1.27283 | − | 0.301501i | ||||
\(825\) | −22.5278 | −0.784318 | ||||||||
\(826\) | 20.0098 | − | 29.1776i | 0.696230 | − | 1.01522i | ||||
\(827\) | − | 1.08638i | − | 0.0377773i | −0.999822 | − | 0.0188886i | \(-0.993987\pi\) | ||
0.999822 | − | 0.0188886i | \(-0.00601280\pi\) | |||||||
\(828\) | −3.58501 | + | 1.38447i | −0.124588 | + | 0.0481138i | ||||
\(829\) | −17.9169 | −0.622281 | −0.311141 | − | 0.950364i | \(-0.600711\pi\) | ||||
−0.311141 | + | 0.950364i | \(0.600711\pi\) | |||||||
\(830\) | −0.394113 | − | 0.270280i | −0.0136799 | − | 0.00938157i | ||||
\(831\) | 2.17332 | 0.0753916 | ||||||||
\(832\) | 5.06818 | − | 10.0977i | 0.175707 | − | 0.350075i | ||||
\(833\) | 19.2576 | 0.667237 | ||||||||
\(834\) | −6.83587 | − | 4.68800i | −0.236707 | − | 0.162332i | ||||
\(835\) | −3.56255 | −0.123287 | ||||||||
\(836\) | 42.1101 | − | 16.2623i | 1.45641 | − | 0.562442i | ||||
\(837\) | −5.52447 | −0.190953 | ||||||||
\(838\) | 11.3085 | − | 16.4897i | 0.390647 | − | 0.569627i | ||||
\(839\) | 35.0959i | 1.21164i | 0.795600 | + | 0.605822i | \(0.207156\pi\) | ||||
−0.795600 | + | 0.605822i | \(0.792844\pi\) | |||||||
\(840\) | 4.12756 | + | 0.977717i | 0.142414 | + | 0.0337345i | ||||
\(841\) | −24.4269 | −0.842307 | ||||||||
\(842\) | 20.8112 | + | 14.2722i | 0.717200 | + | 0.491852i | ||||
\(843\) | − | 12.9816i | − | 0.447111i | ||||||
\(844\) | 41.6132 | − | 16.0704i | 1.43239 | − | 0.553165i | ||||
\(845\) | − | 9.51467i | − | 0.327314i | ||||||
\(846\) | 9.53668 | − | 13.9060i | 0.327878 | − | 0.478099i | ||||
\(847\) | −29.5989 | −1.01703 | ||||||||
\(848\) | 23.9731 | + | 26.4095i | 0.823241 | + | 0.906904i | ||||
\(849\) | 21.6115i | 0.741705i | ||||||||
\(850\) | 23.9327 | + | 16.4129i | 0.820886 | + | 0.562959i | ||||
\(851\) | − | 13.9181i | − | 0.477106i | ||||||
\(852\) | 15.1839 | − | 5.86378i | 0.520192 | − | 0.200890i | ||||
\(853\) | 37.4575 | 1.28252 | 0.641261 | − | 0.767323i | \(-0.278412\pi\) | ||||
0.641261 | + | 0.767323i | \(0.278412\pi\) | |||||||
\(854\) | −17.2630 | + | 25.1722i | −0.590727 | + | 0.861376i | ||||
\(855\) | 3.68349 | 0.125973 | ||||||||
\(856\) | 49.8926 | + | 11.8183i | 1.70530 | + | 0.403943i | ||||
\(857\) | 45.7452i | 1.56263i | 0.624140 | + | 0.781313i | \(0.285450\pi\) | ||||
−0.624140 | + | 0.781313i | \(0.714550\pi\) | |||||||
\(858\) | −5.98402 | + | 8.72567i | −0.204291 | + | 0.297889i | ||||
\(859\) | − | 9.87087i | − | 0.336790i | −0.985720 | − | 0.168395i | \(-0.946142\pi\) | ||
0.985720 | − | 0.168395i | \(-0.0538584\pi\) | |||||||
\(860\) | 1.82958 | − | 0.706555i | 0.0623882 | − | 0.0240933i | ||||
\(861\) | 0.531421i | 0.0181108i | ||||||||
\(862\) | 7.17840 | − | 10.4673i | 0.244497 | − | 0.356517i | ||||
\(863\) | 25.9231i | 0.882434i | 0.897400 | + | 0.441217i | \(0.145453\pi\) | ||||
−0.897400 | + | 0.441217i | \(0.854547\pi\) | |||||||
\(864\) | 5.60466 | − | 0.766689i | 0.190674 | − | 0.0260833i | ||||
\(865\) | 6.31900i | 0.214852i | ||||||||
\(866\) | 27.1525 | − | 39.5927i | 0.922678 | − | 1.34541i | ||||
\(867\) | 6.28423 | 0.213424 | ||||||||
\(868\) | 6.90472 | + | 17.8794i | 0.234362 | + | 0.606865i | ||||
\(869\) | 43.4398 | 1.47359 | ||||||||
\(870\) | 1.47875 | − | 2.15626i | 0.0501343 | − | 0.0731039i | ||||
\(871\) | −2.60844 | − | 11.2619i | −0.0883837 | − | 0.381594i | ||||
\(872\) | −0.740760 | − | 0.175468i | −0.0250853 | − | 0.00594209i | ||||
\(873\) | 14.5334i | 0.491880i | ||||||||
\(874\) | 9.54840 | + | 6.54824i | 0.322979 | + | 0.221497i | ||||
\(875\) | 13.8760i | 0.469095i | ||||||||
\(876\) | 9.27837 | + | 24.0258i | 0.313487 | + | 0.811755i | ||||
\(877\) | −30.3090 | −1.02346 | −0.511732 | − | 0.859145i | \(-0.670996\pi\) | ||||
−0.511732 | + | 0.859145i | \(0.670996\pi\) | |||||||
\(878\) | 4.53230 | − | 6.60883i | 0.152958 | − | 0.223037i | ||||
\(879\) | −20.3556 | −0.686578 | ||||||||
\(880\) | −12.3130 | − | 13.5644i | −0.415073 | − | 0.457255i | ||||
\(881\) | −7.31036 | −0.246292 | −0.123146 | − | 0.992389i | \(-0.539298\pi\) | ||||
−0.123146 | + | 0.992389i | \(0.539298\pi\) | |||||||
\(882\) | 4.65459 | + | 3.19209i | 0.156728 | + | 0.107483i | ||||
\(883\) | 7.29604 | 0.245531 | 0.122766 | − | 0.992436i | \(-0.460824\pi\) | ||||
0.122766 | + | 0.992436i | \(0.460824\pi\) | |||||||
\(884\) | 12.7144 | − | 4.91010i | 0.427631 | − | 0.165144i | ||||
\(885\) | −12.4683 | −0.419117 | ||||||||
\(886\) | 2.18317 | + | 1.49721i | 0.0733452 | + | 0.0502997i | ||||
\(887\) | − | 4.94332i | − | 0.165980i | −0.996550 | − | 0.0829902i | \(-0.973553\pi\) | ||
0.996550 | − | 0.0829902i | \(-0.0264470\pi\) | |||||||
\(888\) | −4.72219 | + | 19.9353i | −0.158466 | + | 0.668986i | ||||
\(889\) | 10.2488i | 0.343734i | ||||||||
\(890\) | 3.96424 | − | 5.78050i | 0.132881 | − | 0.193763i | ||||
\(891\) | −5.29746 | −0.177472 | ||||||||
\(892\) | 14.8870 | − | 5.74912i | 0.498453 | − | 0.192495i | ||||
\(893\) | −50.8005 | −1.69997 | ||||||||
\(894\) | 7.92596 | + | 5.43558i | 0.265084 | + | 0.181793i | ||||
\(895\) | − | 0.631360i | − | 0.0211040i | ||||||
\(896\) | −9.48626 | − | 17.1806i | −0.316914 | − | 0.573965i | ||||
\(897\) | −2.71373 | −0.0906089 | ||||||||
\(898\) | −5.18753 | − | 3.55758i | −0.173110 | − | 0.118718i | ||||
\(899\) | 11.8140 | 0.394018 | ||||||||
\(900\) | 3.06401 | + | 7.93406i | 0.102134 | + | 0.264469i | ||||
\(901\) | 43.0273i | 1.43345i | ||||||||
\(902\) | 1.29806 | − | 1.89278i | 0.0432205 | − | 0.0630226i | ||||
\(903\) | −1.96762 | −0.0654781 | ||||||||
\(904\) | 22.8555 | + | 5.41391i | 0.760162 | + | 0.180064i | ||||
\(905\) | 11.0195i | 0.366302i | ||||||||
\(906\) | −5.91541 | + | 8.62564i | −0.196526 | + | 0.286568i | ||||
\(907\) | − | 19.2151i | − | 0.638028i | −0.947750 | − | 0.319014i | \(-0.896648\pi\) | ||
0.947750 | − | 0.319014i | \(-0.103352\pi\) | |||||||
\(908\) | −4.67614 | + | 1.80585i | −0.155183 | + | 0.0599293i | ||||
\(909\) | 13.9988i | 0.464310i | ||||||||
\(910\) | 2.47021 | + | 1.69406i | 0.0818866 | + | 0.0561574i | ||||
\(911\) | 60.0029i | 1.98799i | 0.109444 | + | 0.993993i | \(0.465093\pi\) | ||||
−0.109444 | + | 0.993993i | \(0.534907\pi\) | |||||||
\(912\) | −11.4548 | − | 12.6189i | −0.379306 | − | 0.417853i | ||||
\(913\) | − | 2.07059i | − | 0.0685264i | ||||||
\(914\) | 3.23237 | + | 2.21674i | 0.106917 | + | 0.0733233i | ||||
\(915\) | 10.7567 | 0.355606 | ||||||||
\(916\) | 26.3480 | − | 10.1752i | 0.870564 | − | 0.336198i | ||||
\(917\) | 10.5622i | 0.348796i | ||||||||
\(918\) | 5.62783 | + | 3.85953i | 0.185746 | + | 0.127384i | ||||
\(919\) | 8.51458 | 0.280870 | 0.140435 | − | 0.990090i | \(-0.455150\pi\) | ||||
0.140435 | + | 0.990090i | \(0.455150\pi\) | |||||||
\(920\) | 1.08303 | − | 4.57216i | 0.0357065 | − | 0.150740i | ||||
\(921\) | 19.9608i | 0.657731i | ||||||||
\(922\) | 15.3513 | + | 10.5278i | 0.505567 | + | 0.346715i | ||||
\(923\) | 11.4937 | 0.378320 | ||||||||
\(924\) | 6.62101 | + | 17.1447i | 0.217815 | + | 0.564019i | ||||
\(925\) | −30.8024 | −1.01278 | ||||||||
\(926\) | −46.3855 | − | 31.8109i | −1.52432 | − | 1.04537i | ||||
\(927\) | − | 13.2752i | − | 0.436016i | ||||||
\(928\) | −11.9854 | + | 1.63955i | −0.393442 | + | 0.0538209i | ||||
\(929\) | − | 22.5248i | − | 0.739015i | −0.929228 | − | 0.369508i | \(-0.879526\pi\) | ||
0.929228 | − | 0.369508i | \(-0.120474\pi\) | |||||||
\(930\) | 3.82014 | − | 5.57039i | 0.125267 | − | 0.182660i | ||||
\(931\) | − | 17.0038i | − | 0.557277i | ||||||
\(932\) | −36.4876 | + | 14.0909i | −1.19519 | + | 0.461564i | ||||
\(933\) | 5.81890 | 0.190502 | ||||||||
\(934\) | −6.05268 | + | 8.82579i | −0.198050 | + | 0.288789i | ||||
\(935\) | − | 22.0996i | − | 0.722734i | ||||||
\(936\) | 3.88697 | + | 0.920728i | 0.127050 | + | 0.0300949i | ||||
\(937\) | 27.8226i | 0.908925i | 0.890766 | + | 0.454462i | \(0.150169\pi\) | ||||
−0.890766 | + | 0.454462i | \(0.849831\pi\) | |||||||
\(938\) | −18.6957 | − | 7.32728i | −0.610436 | − | 0.239244i | ||||
\(939\) | 6.55868i | 0.214034i | ||||||||
\(940\) | 7.42706 | + | 19.2319i | 0.242244 | + | 0.627276i | ||||
\(941\) | − | 24.9112i | − | 0.812083i | −0.913855 | − | 0.406041i | \(-0.866909\pi\) | ||
0.913855 | − | 0.406041i | \(-0.133091\pi\) | |||||||
\(942\) | 0.0628094 | + | 0.0430744i | 0.00204644 | + | 0.00140344i | ||||
\(943\) | 0.588664 | 0.0191695 | ||||||||
\(944\) | 38.7734 | + | 42.7138i | 1.26197 | + | 1.39022i | ||||
\(945\) | 1.49969i | 0.0487851i | ||||||||
\(946\) | 7.00810 | + | 4.80612i | 0.227853 | + | 0.156260i | ||||
\(947\) | − | 11.5419i | − | 0.375063i | −0.982259 | − | 0.187531i | \(-0.939951\pi\) | ||
0.982259 | − | 0.187531i | \(-0.0600486\pi\) | |||||||
\(948\) | −5.90824 | − | 15.2990i | −0.191891 | − | 0.496889i | ||||
\(949\) | 18.1867i | 0.590366i | ||||||||
\(950\) | 14.4920 | − | 21.1318i | 0.470184 | − | 0.685605i | ||||
\(951\) | −31.6370 | −1.02590 | ||||||||
\(952\) | 5.45706 | − | 23.0377i | 0.176864 | − | 0.746656i | ||||
\(953\) | 43.5243 | 1.40989 | 0.704945 | − | 0.709262i | \(-0.250972\pi\) | ||||
0.704945 | + | 0.709262i | \(0.250972\pi\) | |||||||
\(954\) | −7.13209 | + | 10.3997i | −0.230910 | + | 0.336704i | ||||
\(955\) | 19.7723i | 0.639818i | ||||||||
\(956\) | −1.51753 | − | 3.92955i | −0.0490805 | − | 0.127091i | ||||
\(957\) | 11.3285 | 0.366199 | ||||||||
\(958\) | −2.33181 | + | 3.40016i | −0.0753374 | + | 0.109854i | ||||
\(959\) | 26.6546i | 0.860723i | ||||||||
\(960\) | −3.10253 | + | 6.18141i | −0.100134 | + | 0.199504i | ||||
\(961\) | −0.480281 | −0.0154929 | ||||||||
\(962\) | −8.18198 | + | 11.9307i | −0.263797 | + | 0.384660i | ||||
\(963\) | 18.1278i | 0.584161i | ||||||||
\(964\) | 4.93070 | + | 12.7677i | 0.158807 | + | 0.411221i | ||||
\(965\) | − | 15.2742i | − | 0.491695i | ||||||
\(966\) | −2.66605 | + | 3.88753i | −0.0857786 | + | 0.125079i | ||||
\(967\) | 41.0188i | 1.31908i | 0.751671 | + | 0.659538i | \(0.229248\pi\) | ||||
−0.751671 | + | 0.659538i | \(0.770752\pi\) | |||||||
\(968\) | 11.1242 | − | 46.9622i | 0.357545 | − | 1.50942i | ||||
\(969\) | − | 20.5592i | − | 0.660455i | ||||||
\(970\) | −14.6542 | − | 10.0497i | −0.470517 | − | 0.322678i | ||||
\(971\) | − | 55.4321i | − | 1.77890i | −0.457030 | − | 0.889451i | \(-0.651087\pi\) | ||
0.457030 | − | 0.889451i | \(-0.348913\pi\) | |||||||
\(972\) | 0.720507 | + | 1.86571i | 0.0231103 | + | 0.0598426i | ||||
\(973\) | −10.1672 | −0.325946 | ||||||||
\(974\) | 45.5862 | + | 31.2627i | 1.46068 | + | 1.00172i | ||||
\(975\) | 6.00582i | 0.192340i | ||||||||
\(976\) | −33.4508 | − | 36.8503i | −1.07073 | − | 1.17955i | ||||
\(977\) | −0.869537 | −0.0278189 | −0.0139095 | − | 0.999903i | \(-0.504428\pi\) | ||||
−0.0139095 | + | 0.999903i | \(0.504428\pi\) | |||||||
\(978\) | −9.82666 | + | 14.3289i | −0.314222 | + | 0.458187i | ||||
\(979\) | 30.3695 | 0.970615 | ||||||||
\(980\) | −6.43726 | + | 2.48597i | −0.205631 | + | 0.0794113i | ||||
\(981\) | − | 0.269146i | − | 0.00859316i | ||||||
\(982\) | −7.33811 | + | 10.7002i | −0.234168 | + | 0.341456i | ||||
\(983\) | 22.6312 | 0.721824 | 0.360912 | − | 0.932600i | \(-0.382465\pi\) | ||||
0.360912 | + | 0.932600i | \(0.382465\pi\) | |||||||
\(984\) | −0.843163 | − | 0.199725i | −0.0268791 | − | 0.00636699i | ||||
\(985\) | −7.60480 | −0.242309 | ||||||||
\(986\) | −12.0350 | − | 8.25353i | −0.383272 | − | 0.262846i | ||||
\(987\) | − | 20.6829i | − | 0.658343i | ||||||
\(988\) | −4.33544 | − | 11.2264i | −0.137929 | − | 0.357158i | ||||
\(989\) | 2.17956i | 0.0693060i | ||||||||
\(990\) | 3.66317 | − | 5.34150i | 0.116423 | − | 0.169764i | ||||
\(991\) | −51.1914 | −1.62615 | −0.813074 | − | 0.582160i | \(-0.802208\pi\) | ||||
−0.813074 | + | 0.582160i | \(0.802208\pi\) | |||||||
\(992\) | −30.9627 | + | 4.23555i | −0.983068 | + | 0.134479i | ||||
\(993\) | 10.0039 | 0.317464 | ||||||||
\(994\) | 11.2917 | − | 16.4652i | 0.358152 | − | 0.522245i | ||||
\(995\) | −10.8899 | −0.345234 | ||||||||
\(996\) | −0.729238 | + | 0.281620i | −0.0231068 | + | 0.00892347i | ||||
\(997\) | −27.9124 | −0.883995 | −0.441997 | − | 0.897016i | \(-0.645730\pi\) | ||||
−0.441997 | + | 0.897016i | \(0.645730\pi\) | |||||||
\(998\) | 26.6832 | + | 18.2992i | 0.844643 | + | 0.579252i | ||||
\(999\) | −7.24325 | −0.229166 |
(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 | 804.2.e.b.535.7 | yes | 34 | |
4.3 | odd | 2 | 804.2.e.a.535.27 | ✓ | 34 | ||
67.66 | odd | 2 | 804.2.e.a.535.28 | yes | 34 | ||
268.267 | even | 2 | inner | 804.2.e.b.535.8 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.27 | ✓ | 34 | 4.3 | odd | 2 | ||
804.2.e.a.535.28 | yes | 34 | 67.66 | odd | 2 | ||
804.2.e.b.535.7 | yes | 34 | 1.1 | even | 1 | trivial | |
804.2.e.b.535.8 | yes | 34 | 268.267 | even | 2 | inner |