Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,6,Mod(6,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.6");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.d (of order \(5\), 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: | \(4.00959549532\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 6.9 | ||
Character | \(\chi\) | \(=\) | 25.6 |
Dual form | 25.6.d.a.21.9 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.36682 | + | 7.28432i | 0.418399 | + | 1.28770i | 0.909175 | + | 0.416413i | \(0.136713\pi\) |
−0.490777 | + | 0.871285i | \(0.663287\pi\) | |||||||
\(3\) | −19.7149 | + | 14.3237i | −1.26471 | + | 0.918867i | −0.998979 | − | 0.0451797i | \(-0.985614\pi\) |
−0.265733 | + | 0.964047i | \(0.585614\pi\) | |||||||
\(4\) | −21.5710 | + | 15.6723i | −0.674094 | + | 0.489758i | ||||
\(5\) | 54.0142 | − | 14.4039i | 0.966235 | − | 0.257664i | ||||
\(6\) | −151.000 | − | 109.708i | −1.71238 | − | 1.24412i | ||||
\(7\) | −209.197 | −1.61365 | −0.806826 | − | 0.590789i | \(-0.798817\pi\) | ||||
−0.806826 | + | 0.590789i | \(0.798817\pi\) | |||||||
\(8\) | 33.0689 | + | 24.0259i | 0.182681 | + | 0.132726i | ||||
\(9\) | 108.418 | − | 333.675i | 0.446163 | − | 1.37315i | ||||
\(10\) | 232.764 | + | 359.365i | 0.736065 | + | 1.13641i | ||||
\(11\) | 66.6115 | + | 205.009i | 0.165985 | + | 0.510848i | 0.999107 | − | 0.0422400i | \(-0.0134494\pi\) |
−0.833123 | + | 0.553088i | \(0.813449\pi\) | |||||||
\(12\) | 200.785 | − | 617.954i | 0.402512 | − | 1.23881i | ||||
\(13\) | −208.768 | + | 642.522i | −0.342615 | + | 1.05446i | 0.620234 | + | 0.784417i | \(0.287038\pi\) |
−0.962848 | + | 0.270042i | \(0.912962\pi\) | |||||||
\(14\) | −495.132 | − | 1523.86i | −0.675150 | − | 2.07790i | ||||
\(15\) | −858.567 | + | 1057.65i | −0.985249 | + | 1.21371i | ||||
\(16\) | −360.405 | + | 1109.21i | −0.351958 | + | 1.08322i | ||||
\(17\) | 1006.40 | + | 731.195i | 0.844598 | + | 0.613636i | 0.923651 | − | 0.383234i | \(-0.125190\pi\) |
−0.0790535 | + | 0.996870i | \(0.525190\pi\) | |||||||
\(18\) | 2687.20 | 1.95487 | ||||||||
\(19\) | −923.285 | − | 670.806i | −0.586748 | − | 0.426297i | 0.254402 | − | 0.967098i | \(-0.418121\pi\) |
−0.841151 | + | 0.540801i | \(0.818121\pi\) | |||||||
\(20\) | −939.398 | + | 1157.23i | −0.525140 | + | 0.646911i | ||||
\(21\) | 4124.30 | − | 2996.48i | 2.04081 | − | 1.48273i | ||||
\(22\) | −1335.70 | + | 970.440i | −0.588370 | + | 0.427476i | ||||
\(23\) | 425.364 | + | 1309.14i | 0.167664 | + | 0.516018i | 0.999223 | − | 0.0394194i | \(-0.0125508\pi\) |
−0.831558 | + | 0.555437i | \(0.812551\pi\) | |||||||
\(24\) | −996.090 | −0.352997 | ||||||||
\(25\) | 2710.06 | − | 1556.03i | 0.867218 | − | 0.497928i | ||||
\(26\) | −5174.46 | −1.50118 | ||||||||
\(27\) | 812.130 | + | 2499.48i | 0.214396 | + | 0.659842i | ||||
\(28\) | 4512.59 | − | 3278.59i | 1.08775 | − | 0.790299i | ||||
\(29\) | 4153.04 | − | 3017.36i | 0.917004 | − | 0.666242i | −0.0257726 | − | 0.999668i | \(-0.508205\pi\) |
0.942776 | + | 0.333426i | \(0.108205\pi\) | |||||||
\(30\) | −9736.37 | − | 3750.80i | −1.97512 | − | 0.760889i | ||||
\(31\) | 3660.52 | + | 2659.53i | 0.684131 | + | 0.497050i | 0.874726 | − | 0.484619i | \(-0.161042\pi\) |
−0.190595 | + | 0.981669i | \(0.561042\pi\) | |||||||
\(32\) | −7624.87 | −1.31631 | ||||||||
\(33\) | −4249.73 | − | 3087.61i | −0.679324 | − | 0.493558i | ||||
\(34\) | −2944.29 | + | 9061.58i | −0.436800 | + | 1.34433i | ||||
\(35\) | −11299.6 | + | 3013.24i | −1.55917 | + | 0.415781i | ||||
\(36\) | 2890.76 | + | 8896.85i | 0.371754 | + | 1.14414i | ||||
\(37\) | 1020.96 | − | 3142.20i | 0.122604 | − | 0.377337i | −0.870853 | − | 0.491544i | \(-0.836433\pi\) |
0.993457 | + | 0.114207i | \(0.0364326\pi\) | |||||||
\(38\) | 2701.12 | − | 8313.18i | 0.303448 | − | 0.933917i | ||||
\(39\) | −5087.46 | − | 15657.6i | −0.535599 | − | 1.64840i | ||||
\(40\) | 2132.25 | + | 821.421i | 0.210712 | + | 0.0811738i | ||||
\(41\) | −4525.52 | + | 13928.1i | −0.420444 | + | 1.29399i | 0.486845 | + | 0.873488i | \(0.338148\pi\) |
−0.907289 | + | 0.420507i | \(0.861852\pi\) | |||||||
\(42\) | 31588.8 | + | 22950.6i | 2.76318 | + | 2.00757i | ||||
\(43\) | 8486.60 | 0.699943 | 0.349971 | − | 0.936760i | \(-0.386191\pi\) | ||||
0.349971 | + | 0.936760i | \(0.386191\pi\) | |||||||
\(44\) | −4649.83 | − | 3378.30i | −0.362081 | − | 0.263067i | ||||
\(45\) | 1049.87 | − | 19584.8i | 0.0772868 | − | 1.44174i | ||||
\(46\) | −8529.41 | + | 6196.98i | −0.594325 | + | 0.431803i | ||||
\(47\) | 12327.8 | − | 8956.68i | 0.814032 | − | 0.591429i | −0.100965 | − | 0.994890i | \(-0.532193\pi\) |
0.914997 | + | 0.403461i | \(0.132193\pi\) | |||||||
\(48\) | −8782.70 | − | 27030.4i | −0.550206 | − | 1.69336i | ||||
\(49\) | 26956.3 | 1.60388 | ||||||||
\(50\) | 17748.8 | + | 16058.1i | 1.00402 | + | 0.908384i | ||||
\(51\) | −30314.6 | −1.63202 | ||||||||
\(52\) | −5566.43 | − | 17131.7i | −0.285475 | − | 0.878603i | ||||
\(53\) | −11140.9 | + | 8094.36i | −0.544794 | + | 0.395816i | −0.825862 | − | 0.563872i | \(-0.809311\pi\) |
0.281069 | + | 0.959688i | \(0.409311\pi\) | |||||||
\(54\) | −16284.8 | + | 11831.6i | −0.759975 | + | 0.552154i | ||||
\(55\) | 6550.89 | + | 10113.9i | 0.292007 | + | 0.450830i | ||||
\(56\) | −6917.90 | − | 5026.15i | −0.294784 | − | 0.214173i | ||||
\(57\) | 27810.9 | 1.13378 | ||||||||
\(58\) | 31808.9 | + | 23110.5i | 1.24159 | + | 0.902070i | ||||
\(59\) | −2262.14 | + | 6962.16i | −0.0846038 | + | 0.260384i | −0.984405 | − | 0.175916i | \(-0.943711\pi\) |
0.899801 | + | 0.436300i | \(0.143711\pi\) | |||||||
\(60\) | 1944.33 | − | 36270.3i | 0.0697254 | − | 1.30069i | ||||
\(61\) | 4239.48 | + | 13047.8i | 0.145877 | + | 0.448964i | 0.997123 | − | 0.0758034i | \(-0.0241521\pi\) |
−0.851245 | + | 0.524768i | \(0.824152\pi\) | |||||||
\(62\) | −10709.1 | + | 32959.1i | −0.353811 | + | 1.08892i | ||||
\(63\) | −22680.6 | + | 69803.7i | −0.719952 | + | 2.21578i | ||||
\(64\) | −6513.74 | − | 20047.2i | −0.198783 | − | 0.611793i | ||||
\(65\) | −2021.63 | + | 37712.4i | −0.0593496 | + | 1.10713i | ||||
\(66\) | 12432.8 | − | 38264.3i | 0.351325 | − | 1.08127i | ||||
\(67\) | −36560.4 | − | 26562.6i | −0.995001 | − | 0.722910i | −0.0339901 | − | 0.999422i | \(-0.510821\pi\) |
−0.961010 | + | 0.276512i | \(0.910821\pi\) | |||||||
\(68\) | −33168.6 | −0.869871 | ||||||||
\(69\) | −27137.7 | − | 19716.7i | −0.686199 | − | 0.498553i | ||||
\(70\) | −48693.6 | − | 75178.1i | −1.18775 | − | 1.83378i | ||||
\(71\) | 29629.7 | − | 21527.2i | 0.697560 | − | 0.506807i | −0.181577 | − | 0.983377i | \(-0.558120\pi\) |
0.879136 | + | 0.476570i | \(0.158120\pi\) | |||||||
\(72\) | 11602.1 | − | 8429.42i | 0.263758 | − | 0.191631i | ||||
\(73\) | −18632.7 | − | 57345.7i | −0.409232 | − | 1.25949i | −0.917309 | − | 0.398175i | \(-0.869644\pi\) |
0.508077 | − | 0.861312i | \(-0.330356\pi\) | |||||||
\(74\) | 25305.3 | 0.537194 | ||||||||
\(75\) | −31140.5 | + | 69495.0i | −0.639252 | + | 1.42659i | ||||
\(76\) | 30429.2 | 0.604306 | ||||||||
\(77\) | −13934.9 | − | 42887.3i | −0.267841 | − | 0.824331i | ||||
\(78\) | 102014. | − | 74117.5i | 1.89855 | − | 1.37938i | ||||
\(79\) | 24554.1 | − | 17839.6i | 0.442646 | − | 0.321601i | −0.344040 | − | 0.938955i | \(-0.611795\pi\) |
0.786685 | + | 0.617354i | \(0.211795\pi\) | |||||||
\(80\) | −3490.02 | + | 65104.4i | −0.0609682 | + | 1.13733i | ||||
\(81\) | 17160.4 | + | 12467.8i | 0.290613 | + | 0.211143i | ||||
\(82\) | −112168. | −1.84219 | ||||||||
\(83\) | 20661.6 | + | 15011.5i | 0.329207 | + | 0.239183i | 0.740094 | − | 0.672503i | \(-0.234781\pi\) |
−0.410887 | + | 0.911686i | \(0.634781\pi\) | |||||||
\(84\) | −42003.7 | + | 129274.i | −0.649515 | + | 1.99900i | ||||
\(85\) | 64892.1 | + | 24998.8i | 0.974191 | + | 0.375294i | ||||
\(86\) | 20086.3 | + | 61819.2i | 0.292855 | + | 0.901316i | ||||
\(87\) | −38657.0 | + | 118974.i | −0.547558 | + | 1.68521i | ||||
\(88\) | −2722.77 | + | 8379.82i | −0.0374804 | + | 0.115353i | ||||
\(89\) | −18667.6 | − | 57452.8i | −0.249811 | − | 0.768841i | −0.994808 | − | 0.101772i | \(-0.967549\pi\) |
0.744996 | − | 0.667069i | \(-0.232451\pi\) | |||||||
\(90\) | 145147. | − | 38706.1i | 1.88887 | − | 0.503701i | ||||
\(91\) | 43673.6 | − | 134414.i | 0.552861 | − | 1.70153i | ||||
\(92\) | −29692.6 | − | 21573.0i | −0.365745 | − | 0.265730i | ||||
\(93\) | −110261. | −1.32195 | ||||||||
\(94\) | 94421.1 | + | 68601.0i | 1.10217 | + | 0.800775i | ||||
\(95\) | −59532.6 | − | 22934.1i | −0.676778 | − | 0.260719i | ||||
\(96\) | 150324. | − | 109217.i | 1.66475 | − | 1.20951i | ||||
\(97\) | −70778.1 | + | 51423.3i | −0.763782 | + | 0.554920i | −0.900068 | − | 0.435749i | \(-0.856483\pi\) |
0.136286 | + | 0.990670i | \(0.456483\pi\) | |||||||
\(98\) | 63800.8 | + | 196359.i | 0.671060 | + | 2.06531i | ||||
\(99\) | 75628.2 | 0.775525 | ||||||||
\(100\) | −34072.2 | + | 76037.7i | −0.340722 | + | 0.760377i | ||||
\(101\) | −152678. | −1.48927 | −0.744634 | − | 0.667473i | \(-0.767376\pi\) | ||||
−0.744634 | + | 0.667473i | \(0.767376\pi\) | |||||||
\(102\) | −71749.2 | − | 220821.i | −0.682836 | − | 2.10155i | ||||
\(103\) | −92972.0 | + | 67548.1i | −0.863494 | + | 0.627365i | −0.928833 | − | 0.370498i | \(-0.879187\pi\) |
0.0653395 | + | 0.997863i | \(0.479187\pi\) | |||||||
\(104\) | −22340.9 | + | 16231.6i | −0.202543 | + | 0.147156i | ||||
\(105\) | 179610. | − | 221258.i | 1.58985 | − | 1.95851i | ||||
\(106\) | −85330.6 | − | 61996.3i | −0.737632 | − | 0.535921i | ||||
\(107\) | 164522. | 1.38920 | 0.694598 | − | 0.719398i | \(-0.255582\pi\) | ||||
0.694598 | + | 0.719398i | \(0.255582\pi\) | |||||||
\(108\) | −56690.9 | − | 41188.4i | −0.467686 | − | 0.339794i | ||||
\(109\) | 18771.5 | − | 57772.7i | 0.151332 | − | 0.465753i | −0.846438 | − | 0.532487i | \(-0.821258\pi\) |
0.997771 | + | 0.0667332i | \(0.0212576\pi\) | |||||||
\(110\) | −58168.4 | + | 71656.7i | −0.458359 | + | 0.564644i | ||||
\(111\) | 24879.8 | + | 76572.2i | 0.191664 | + | 0.589880i | ||||
\(112\) | 75395.6 | − | 232044.i | 0.567938 | − | 1.74793i | ||||
\(113\) | −25925.7 | + | 79791.2i | −0.191001 | + | 0.587840i | 0.808999 | + | 0.587810i | \(0.200010\pi\) |
−1.00000 | 3.01165e-5i | \(0.999990\pi\) | ||||||||
\(114\) | 65823.4 | + | 202584.i | 0.474371 | + | 1.45996i | ||||
\(115\) | 41832.3 | + | 64584.9i | 0.294963 | + | 0.455393i | ||||
\(116\) | −42296.4 | + | 130175.i | −0.291849 | + | 0.898220i | ||||
\(117\) | 191759. | + | 139321.i | 1.29507 | + | 0.940921i | ||||
\(118\) | −56068.7 | −0.370694 | ||||||||
\(119\) | −210537. | − | 152964.i | −1.36289 | − | 0.990196i | ||||
\(120\) | −53803.0 | + | 14347.6i | −0.341078 | + | 0.0909546i | ||||
\(121\) | 92701.3 | − | 67351.5i | 0.575602 | − | 0.418200i | ||||
\(122\) | −85010.2 | + | 61763.5i | −0.517096 | + | 0.375692i | ||||
\(123\) | −110282. | − | 339414.i | −0.657268 | − | 2.02286i | ||||
\(124\) | −120642. | −0.704603 | ||||||||
\(125\) | 123969. | − | 123083.i | 0.709638 | − | 0.704566i | ||||
\(126\) | −562154. | −3.15449 | ||||||||
\(127\) | 70502.8 | + | 216985.i | 0.387880 | + | 1.19377i | 0.934370 | + | 0.356305i | \(0.115964\pi\) |
−0.546490 | + | 0.837465i | \(0.684036\pi\) | |||||||
\(128\) | −66783.2 | + | 48520.8i | −0.360282 | + | 0.261760i | ||||
\(129\) | −167313. | + | 121560.i | −0.885226 | + | 0.643155i | ||||
\(130\) | −279494. | + | 74532.2i | −1.45049 | + | 0.386799i | ||||
\(131\) | 89200.1 | + | 64807.6i | 0.454137 | + | 0.329950i | 0.791227 | − | 0.611523i | \(-0.209443\pi\) |
−0.337090 | + | 0.941472i | \(0.609443\pi\) | |||||||
\(132\) | 140061. | 0.699652 | ||||||||
\(133\) | 193148. | + | 140330.i | 0.946808 | + | 0.687896i | ||||
\(134\) | 106959. | − | 329186.i | 0.514584 | − | 1.58373i | ||||
\(135\) | 79868.7 | + | 123309.i | 0.377174 | + | 0.582320i | ||||
\(136\) | 15713.0 | + | 48359.6i | 0.0728469 | + | 0.224200i | ||||
\(137\) | 127774. | − | 393249.i | 0.581625 | − | 1.79006i | −0.0307981 | − | 0.999526i | \(-0.509805\pi\) |
0.612423 | − | 0.790531i | \(-0.290195\pi\) | |||||||
\(138\) | 79392.7 | − | 244346.i | 0.354881 | − | 1.09221i | ||||
\(139\) | 97530.0 | + | 300166.i | 0.428155 | + | 1.31773i | 0.899941 | + | 0.436013i | \(0.143610\pi\) |
−0.471785 | + | 0.881713i | \(0.656390\pi\) | |||||||
\(140\) | 196519. | − | 242089.i | 0.847393 | − | 1.04389i | ||||
\(141\) | −114749. | + | 353160.i | −0.486072 | + | 1.49597i | ||||
\(142\) | 226940. | + | 164881.i | 0.944472 | + | 0.686199i | ||||
\(143\) | −145629. | −0.595537 | ||||||||
\(144\) | 331042. | + | 240516.i | 1.33038 | + | 0.966581i | ||||
\(145\) | 180861. | − | 222800.i | 0.714374 | − | 0.880025i | ||||
\(146\) | 373624. | − | 271454.i | 1.45062 | − | 1.05394i | ||||
\(147\) | −531442. | + | 386115.i | −2.02844 | + | 1.47375i | ||||
\(148\) | 27222.2 | + | 83781.3i | 0.102157 | + | 0.314407i | ||||
\(149\) | −45822.6 | −0.169089 | −0.0845443 | − | 0.996420i | \(-0.526943\pi\) | ||||
−0.0845443 | + | 0.996420i | \(0.526943\pi\) | |||||||
\(150\) | −579928. | − | 62355.0i | −2.10449 | − | 0.226279i | ||||
\(151\) | 264276. | 0.943224 | 0.471612 | − | 0.881806i | \(-0.343672\pi\) | ||||
0.471612 | + | 0.881806i | \(0.343672\pi\) | |||||||
\(152\) | −14415.2 | − | 44365.6i | −0.0506073 | − | 0.155753i | ||||
\(153\) | 353093. | − | 256537.i | 1.21944 | − | 0.885976i | ||||
\(154\) | 279423. | − | 203013.i | 0.949426 | − | 0.689798i | ||||
\(155\) | 236028. | + | 90926.4i | 0.789103 | + | 0.303991i | ||||
\(156\) | 355132. | + | 258018.i | 1.16836 | + | 0.848865i | ||||
\(157\) | −248834. | −0.805675 | −0.402838 | − | 0.915271i | \(-0.631976\pi\) | ||||
−0.402838 | + | 0.915271i | \(0.631976\pi\) | |||||||
\(158\) | 188065. | + | 136637.i | 0.599328 | + | 0.435437i | ||||
\(159\) | 103701. | − | 319159.i | 0.325305 | − | 1.00119i | ||||
\(160\) | −411851. | + | 109828.i | −1.27186 | + | 0.339165i | ||||
\(161\) | −88984.8 | − | 273867.i | −0.270552 | − | 0.832674i | ||||
\(162\) | −50203.7 | + | 154511.i | −0.150296 | + | 0.462564i | ||||
\(163\) | 37285.2 | − | 114752.i | 0.109918 | − | 0.338291i | −0.880936 | − | 0.473236i | \(-0.843086\pi\) |
0.990853 | + | 0.134945i | \(0.0430857\pi\) | |||||||
\(164\) | −120665. | − | 371368.i | −0.350325 | − | 1.07819i | ||||
\(165\) | −274019. | − | 105562.i | −0.783558 | − | 0.301855i | ||||
\(166\) | −60446.6 | + | 186036.i | −0.170256 | + | 0.523993i | ||||
\(167\) | −47846.7 | − | 34762.6i | −0.132758 | − | 0.0964543i | 0.519424 | − | 0.854516i | \(-0.326146\pi\) |
−0.652182 | + | 0.758062i | \(0.726146\pi\) | |||||||
\(168\) | 208379. | 0.569614 | ||||||||
\(169\) | −68868.3 | − | 50035.7i | −0.185482 | − | 0.134761i | ||||
\(170\) | −28511.3 | + | 531863.i | −0.0756650 | + | 1.41149i | ||||
\(171\) | −323931. | + | 235350.i | −0.847154 | + | 0.615494i | ||||
\(172\) | −183065. | + | 133004.i | −0.471827 | + | 0.342803i | ||||
\(173\) | 7631.31 | + | 23486.8i | 0.0193858 | + | 0.0596634i | 0.960281 | − | 0.279033i | \(-0.0900140\pi\) |
−0.940896 | + | 0.338697i | \(0.890014\pi\) | |||||||
\(174\) | −958139. | −2.39914 | ||||||||
\(175\) | −566936. | + | 325516.i | −1.39939 | + | 0.803483i | ||||
\(176\) | −251406. | −0.611778 | ||||||||
\(177\) | −55126.1 | − | 169661.i | −0.132259 | − | 0.407050i | ||||
\(178\) | 374322. | − | 271961.i | 0.885514 | − | 0.643364i | ||||
\(179\) | 20932.9 | − | 15208.7i | 0.0488312 | − | 0.0354779i | −0.563102 | − | 0.826387i | \(-0.690392\pi\) |
0.611933 | + | 0.790910i | \(0.290392\pi\) | |||||||
\(180\) | 284291. | + | 438918.i | 0.654006 | + | 1.00972i | ||||
\(181\) | 508493. | + | 369442.i | 1.15369 | + | 0.838204i | 0.988967 | − | 0.148137i | \(-0.0473275\pi\) |
0.164721 | + | 0.986340i | \(0.447328\pi\) | |||||||
\(182\) | 1.08248e6 | 2.42238 | ||||||||
\(183\) | −270474. | − | 196511.i | −0.597031 | − | 0.433769i | ||||
\(184\) | −17386.9 | + | 53511.4i | −0.0378597 | + | 0.116520i | ||||
\(185\) | 9886.61 | − | 184429.i | 0.0212382 | − | 0.396187i | ||||
\(186\) | −260969. | − | 803179.i | −0.553103 | − | 1.70228i | ||||
\(187\) | −82863.6 | + | 255028.i | −0.173285 | + | 0.533315i | ||||
\(188\) | −125552. | + | 386409.i | −0.259077 | + | 0.797357i | ||||
\(189\) | −169895. | − | 522883.i | −0.345960 | − | 1.06476i | ||||
\(190\) | 26156.6 | − | 487936.i | 0.0525650 | − | 0.980571i | ||||
\(191\) | 27698.1 | − | 85246.1i | 0.0549373 | − | 0.169080i | −0.919823 | − | 0.392334i | \(-0.871668\pi\) |
0.974760 | + | 0.223254i | \(0.0716679\pi\) | |||||||
\(192\) | 415568. | + | 301928.i | 0.813560 | + | 0.591086i | ||||
\(193\) | 816644. | 1.57812 | 0.789059 | − | 0.614318i | \(-0.210569\pi\) | ||||
0.789059 | + | 0.614318i | \(0.210569\pi\) | |||||||
\(194\) | −542103. | − | 393861.i | −1.03414 | − | 0.751344i | ||||
\(195\) | −500325. | − | 772453.i | −0.942249 | − | 1.45474i | ||||
\(196\) | −581475. | + | 422467.i | −1.08116 | + | 0.785511i | ||||
\(197\) | −226025. | + | 164217.i | −0.414945 | + | 0.301475i | −0.775601 | − | 0.631224i | \(-0.782553\pi\) |
0.360656 | + | 0.932699i | \(0.382553\pi\) | |||||||
\(198\) | 178998. | + | 550901.i | 0.324479 | + | 0.998643i | ||||
\(199\) | −149090. | −0.266880 | −0.133440 | − | 0.991057i | \(-0.542602\pi\) | ||||
−0.133440 | + | 0.991057i | \(0.542602\pi\) | |||||||
\(200\) | 127003. | + | 13655.7i | 0.224513 | + | 0.0241400i | ||||
\(201\) | 1.10126e6 | 1.92265 | ||||||||
\(202\) | −361361. | − | 1.11216e6i | −0.623108 | − | 1.91773i | ||||
\(203\) | −868803. | + | 631222.i | −1.47973 | + | 1.07508i | ||||
\(204\) | 653916. | − | 475098.i | 1.10014 | − | 0.799296i | ||||
\(205\) | −43823.3 | + | 817500.i | −0.0728318 | + | 1.35864i | ||||
\(206\) | −712091. | − | 517364.i | −1.16914 | − | 0.849431i | ||||
\(207\) | 482942. | 0.783375 | ||||||||
\(208\) | −637453. | − | 463137.i | −1.02162 | − | 0.742251i | ||||
\(209\) | 76019.9 | − | 233965.i | 0.120382 | − | 0.370498i | ||||
\(210\) | 2.03682e6 | + | 784656.i | 3.18716 | + | 1.22781i | ||||
\(211\) | −75285.7 | − | 231706.i | −0.116414 | − | 0.358286i | 0.875825 | − | 0.482629i | \(-0.160318\pi\) |
−0.992239 | + | 0.124342i | \(0.960318\pi\) | |||||||
\(212\) | 113464. | − | 349207.i | 0.173388 | − | 0.533634i | ||||
\(213\) | −275797. | + | 848815.i | −0.416524 | + | 1.28193i | ||||
\(214\) | 389393. | + | 1.19843e6i | 0.581238 | + | 1.78887i | ||||
\(215\) | 458397. | − | 122240.i | 0.676309 | − | 0.180350i | ||||
\(216\) | −33196.1 | + | 102167.i | −0.0484120 | + | 0.148997i | ||||
\(217\) | −765770. | − | 556365.i | −1.10395 | − | 0.802066i | ||||
\(218\) | 465263. | 0.663067 | ||||||||
\(219\) | 1.18875e6 | + | 863675.i | 1.67486 | + | 1.21686i | ||||
\(220\) | −299817. | − | 115500.i | −0.417638 | − | 0.160889i | ||||
\(221\) | −679914. | + | 493986.i | −0.936426 | + | 0.680353i | ||||
\(222\) | −498891. | + | 362465.i | −0.679396 | + | 0.493610i | ||||
\(223\) | −311291. | − | 958054.i | −0.419183 | − | 1.29011i | −0.908455 | − | 0.417982i | \(-0.862737\pi\) |
0.489272 | − | 0.872131i | \(-0.337263\pi\) | |||||||
\(224\) | 1.59510e6 | 2.12406 | ||||||||
\(225\) | −225389. | − | 1.07298e6i | −0.296808 | − | 1.41298i | ||||
\(226\) | −642587. | −0.836875 | ||||||||
\(227\) | 159692. | + | 491481.i | 0.205692 | + | 0.633056i | 0.999684 | + | 0.0251277i | \(0.00799924\pi\) |
−0.793992 | + | 0.607928i | \(0.792001\pi\) | |||||||
\(228\) | −599909. | + | 435860.i | −0.764273 | + | 0.555277i | ||||
\(229\) | −741603. | + | 538806.i | −0.934507 | + | 0.678959i | −0.947092 | − | 0.320961i | \(-0.895994\pi\) |
0.0125848 | + | 0.999921i | \(0.495994\pi\) | |||||||
\(230\) | −371448. | + | 457581.i | −0.462998 | + | 0.570359i | ||||
\(231\) | 889031. | + | 645919.i | 1.09619 | + | 0.796431i | ||||
\(232\) | 209831. | 0.255947 | ||||||||
\(233\) | −100850. | − | 73271.9i | −0.121699 | − | 0.0884194i | 0.525271 | − | 0.850935i | \(-0.323964\pi\) |
−0.646970 | + | 0.762516i | \(0.723964\pi\) | |||||||
\(234\) | −561002. | + | 1.72659e6i | −0.669768 | + | 2.06134i | ||||
\(235\) | 536866. | − | 661356.i | 0.634156 | − | 0.781206i | ||||
\(236\) | −60316.0 | − | 185634.i | −0.0704941 | − | 0.216958i | ||||
\(237\) | −228552. | + | 703412.i | −0.264311 | + | 0.813465i | ||||
\(238\) | 615935. | − | 1.89565e6i | 0.704844 | − | 2.16929i | ||||
\(239\) | −228635. | − | 703667.i | −0.258910 | − | 0.796842i | −0.993034 | − | 0.117827i | \(-0.962407\pi\) |
0.734124 | − | 0.679015i | \(-0.237593\pi\) | |||||||
\(240\) | −863732. | − | 1.33352e6i | −0.967946 | − | 1.49441i | ||||
\(241\) | −256591. | + | 789707.i | −0.284577 | + | 0.875837i | 0.701948 | + | 0.712228i | \(0.252314\pi\) |
−0.986525 | + | 0.163609i | \(0.947686\pi\) | |||||||
\(242\) | 710017. | + | 515858.i | 0.779346 | + | 0.566228i | ||||
\(243\) | −1.15553e6 | −1.25535 | ||||||||
\(244\) | −295938. | − | 215011.i | −0.318219 | − | 0.231200i | ||||
\(245\) | 1.45602e6 | − | 388276.i | 1.54972 | − | 0.413261i | ||||
\(246\) | 2.21138e6 | − | 1.60666e6i | 2.32984 | − | 1.69273i | ||||
\(247\) | 623760. | − | 453188.i | 0.650542 | − | 0.472646i | ||||
\(248\) | 57151.8 | + | 175895.i | 0.0590066 | + | 0.181604i | ||||
\(249\) | −622363. | −0.636129 | ||||||||
\(250\) | 1.18999e6 | + | 611713.i | 1.20418 | + | 0.619010i | ||||
\(251\) | 406396. | 0.407160 | 0.203580 | − | 0.979058i | \(-0.434742\pi\) | ||||
0.203580 | + | 0.979058i | \(0.434742\pi\) | |||||||
\(252\) | −604738. | − | 1.86119e6i | −0.599882 | − | 1.84625i | ||||
\(253\) | −240051. | + | 174407.i | −0.235777 | + | 0.171302i | ||||
\(254\) | −1.41372e6 | + | 1.02713e6i | −1.37493 | + | 0.998944i | ||||
\(255\) | −1.63742e6 | + | 436647.i | −1.57692 | + | 0.420514i | ||||
\(256\) | −1.05721e6 | − | 768106.i | −1.00823 | − | 0.732523i | ||||
\(257\) | −1.17899e6 | −1.11346 | −0.556731 | − | 0.830693i | \(-0.687945\pi\) | ||||
−0.556731 | + | 0.830693i | \(0.687945\pi\) | |||||||
\(258\) | −1.28148e6 | − | 931049.i | −1.19857 | − | 0.870810i | ||||
\(259\) | −213582. | + | 657339.i | −0.197841 | + | 0.608892i | ||||
\(260\) | −547429. | − | 845177.i | −0.502221 | − | 0.775379i | ||||
\(261\) | −556555. | − | 1.71290e6i | −0.505716 | − | 1.55643i | ||||
\(262\) | −260959. | + | 803150.i | −0.234866 | + | 0.722842i | ||||
\(263\) | 452009. | − | 1.39114e6i | 0.402956 | − | 1.24017i | −0.519634 | − | 0.854389i | \(-0.673932\pi\) |
0.922590 | − | 0.385782i | \(-0.126068\pi\) | |||||||
\(264\) | −66351.1 | − | 204208.i | −0.0585920 | − | 0.180328i | ||||
\(265\) | −485178. | + | 597683.i | −0.424411 | + | 0.522825i | ||||
\(266\) | −565065. | + | 1.73909e6i | −0.489660 | + | 1.50702i | ||||
\(267\) | 1.19097e6 | + | 865288.i | 1.02240 | + | 0.742818i | ||||
\(268\) | 1.20494e6 | 1.02477 | ||||||||
\(269\) | 743348. | + | 540074.i | 0.626342 | + | 0.455064i | 0.855131 | − | 0.518412i | \(-0.173477\pi\) |
−0.228789 | + | 0.973476i | \(0.573477\pi\) | |||||||
\(270\) | −709191. | + | 873641.i | −0.592044 | + | 0.729329i | ||||
\(271\) | 225536. | − | 163862.i | 0.186549 | − | 0.135536i | −0.490591 | − | 0.871390i | \(-0.663219\pi\) |
0.677140 | + | 0.735854i | \(0.263219\pi\) | |||||||
\(272\) | −1.17376e6 | + | 852789.i | −0.961963 | + | 0.698907i | ||||
\(273\) | 1.06428e6 | + | 3.27552e6i | 0.864271 | + | 2.65995i | ||||
\(274\) | 3.16698e6 | 2.54840 | ||||||||
\(275\) | 499520. | + | 451937.i | 0.398310 | + | 0.360368i | ||||
\(276\) | 894392. | 0.706733 | ||||||||
\(277\) | −637543. | − | 1.96216e6i | −0.499241 | − | 1.53651i | −0.810242 | − | 0.586096i | \(-0.800664\pi\) |
0.311001 | − | 0.950410i | \(-0.399336\pi\) | |||||||
\(278\) | −1.95567e6 | + | 1.42088e6i | −1.51769 | + | 1.10267i | ||||
\(279\) | 1.28428e6 | − | 933086.i | 0.987757 | − | 0.717647i | ||||
\(280\) | −446061. | − | 171839.i | −0.340016 | − | 0.130986i | ||||
\(281\) | 748989. | + | 544172.i | 0.565861 | + | 0.411122i | 0.833599 | − | 0.552370i | \(-0.186276\pi\) |
−0.267738 | + | 0.963492i | \(0.586276\pi\) | |||||||
\(282\) | −2.84412e6 | −2.12974 | ||||||||
\(283\) | 1.54418e6 | + | 1.12191e6i | 1.14612 | + | 0.832708i | 0.987961 | − | 0.154705i | \(-0.0494428\pi\) |
0.158163 | + | 0.987413i | \(0.449443\pi\) | |||||||
\(284\) | −301762. | + | 928728.i | −0.222008 | + | 0.683271i | ||||
\(285\) | 1.50218e6 | − | 400585.i | 1.09550 | − | 0.292134i | ||||
\(286\) | −344678. | − | 1.06081e6i | −0.249172 | − | 0.766872i | ||||
\(287\) | 946724. | − | 2.91372e6i | 0.678451 | − | 2.08806i | ||||
\(288\) | −826670. | + | 2.54423e6i | −0.587288 | + | 1.80749i | ||||
\(289\) | 39442.1 | + | 121390.i | 0.0277789 | + | 0.0854947i | ||||
\(290\) | 2.05101e6 | + | 790125.i | 1.43210 | + | 0.551697i | ||||
\(291\) | 658811. | − | 2.02761e6i | 0.456067 | − | 1.40363i | ||||
\(292\) | 1.30066e6 | + | 944987.i | 0.892705 | + | 0.648588i | ||||
\(293\) | −1.75354e6 | −1.19329 | −0.596645 | − | 0.802505i | \(-0.703500\pi\) | ||||
−0.596645 | + | 0.802505i | \(0.703500\pi\) | |||||||
\(294\) | −4.07041e6 | − | 2.95733e6i | −2.74644 | − | 1.99541i | ||||
\(295\) | −21905.7 | + | 408639.i | −0.0146555 | + | 0.273391i | ||||
\(296\) | 109256. | − | 79379.5i | 0.0724799 | − | 0.0526598i | ||||
\(297\) | −458319. | + | 332988.i | −0.301493 | + | 0.219047i | ||||
\(298\) | −108454. | − | 333787.i | −0.0707465 | − | 0.217735i | ||||
\(299\) | −929951. | −0.601564 | ||||||||
\(300\) | −417412. | − | 1.98712e6i | −0.267770 | − | 1.27474i | ||||
\(301\) | −1.77537e6 | −1.12947 | ||||||||
\(302\) | 625493. | + | 1.92507e6i | 0.394644 | + | 1.21459i | ||||
\(303\) | 3.01003e6 | − | 2.18692e6i | 1.88349 | − | 1.36844i | ||||
\(304\) | 1.07682e6 | − | 782358.i | 0.668283 | − | 0.485536i | ||||
\(305\) | 416930. | + | 643700.i | 0.256634 | + | 0.396218i | ||||
\(306\) | 2.70441e6 | + | 1.96487e6i | 1.65108 | + | 1.19958i | ||||
\(307\) | 590588. | 0.357634 | 0.178817 | − | 0.983882i | \(-0.442773\pi\) | ||||
0.178817 | + | 0.983882i | \(0.442773\pi\) | |||||||
\(308\) | 972730. | + | 706730.i | 0.584273 | + | 0.424499i | ||||
\(309\) | 865394. | − | 2.66341e6i | 0.515606 | − | 1.58687i | ||||
\(310\) | −103702. | + | 1.93451e6i | −0.0612892 | + | 1.14332i | ||||
\(311\) | −748721. | − | 2.30433e6i | −0.438954 | − | 1.35096i | −0.888980 | − | 0.457946i | \(-0.848585\pi\) |
0.450026 | − | 0.893016i | \(-0.351415\pi\) | |||||||
\(312\) | 207952. | − | 640010.i | 0.120942 | − | 0.372221i | ||||
\(313\) | 454855. | − | 1.39990e6i | 0.262429 | − | 0.807673i | −0.729846 | − | 0.683612i | \(-0.760408\pi\) |
0.992275 | − | 0.124061i | \(-0.0395919\pi\) | |||||||
\(314\) | −588945. | − | 1.81259e6i | −0.337094 | − | 1.03747i | ||||
\(315\) | −219630. | + | 4.09708e6i | −0.124714 | + | 2.32647i | ||||
\(316\) | −250070. | + | 769636.i | −0.140878 | + | 0.433578i | ||||
\(317\) | 1.17540e6 | + | 853975.i | 0.656956 | + | 0.477306i | 0.865634 | − | 0.500678i | \(-0.166916\pi\) |
−0.208678 | + | 0.977984i | \(0.566916\pi\) | |||||||
\(318\) | 2.57030e6 | 1.42533 | ||||||||
\(319\) | 895227. | + | 650420.i | 0.492557 | + | 0.357863i | ||||
\(320\) | −640591. | − | 989010.i | −0.349708 | − | 0.539916i | ||||
\(321\) | −3.24353e6 | + | 2.35656e6i | −1.75693 | + | 1.27649i | ||||
\(322\) | 1.78433e6 | − | 1.29639e6i | 0.959035 | − | 0.696780i | ||||
\(323\) | −438707. | − | 1.35020e6i | −0.233975 | − | 0.720100i | ||||
\(324\) | −565565. | −0.299309 | ||||||||
\(325\) | 434007. | + | 2.06612e6i | 0.227923 | + | 1.08504i | ||||
\(326\) | 924138. | 0.481607 | ||||||||
\(327\) | 457441. | + | 1.40786e6i | 0.236573 | + | 0.728098i | ||||
\(328\) | −484290. | + | 351857.i | −0.248554 | + | 0.180585i | ||||
\(329\) | −2.57894e6 | + | 1.87371e6i | −1.31357 | + | 0.954361i | ||||
\(330\) | 120394. | − | 2.24589e6i | 0.0608586 | − | 1.13528i | ||||
\(331\) | −1.26671e6 | − | 920321.i | −0.635489 | − | 0.461710i | 0.222808 | − | 0.974862i | \(-0.428478\pi\) |
−0.858298 | + | 0.513152i | \(0.828478\pi\) | |||||||
\(332\) | −680956. | −0.339058 | ||||||||
\(333\) | −937784. | − | 681340.i | −0.463438 | − | 0.336708i | ||||
\(334\) | 139978. | − | 430808.i | 0.0686583 | − | 0.211309i | ||||
\(335\) | −2.35738e6 | − | 908149.i | −1.14767 | − | 0.442125i | ||||
\(336\) | 1.83731e6 | + | 5.65467e6i | 0.887841 | + | 2.73249i | ||||
\(337\) | −798140. | + | 2.45642e6i | −0.382828 | + | 1.17822i | 0.555215 | + | 0.831707i | \(0.312636\pi\) |
−0.938043 | + | 0.346518i | \(0.887364\pi\) | |||||||
\(338\) | 201478. | − | 620084.i | 0.0959257 | − | 0.295229i | ||||
\(339\) | −631783. | − | 1.94443e6i | −0.298586 | − | 0.918952i | ||||
\(340\) | −1.79157e6 | + | 477756.i | −0.840500 | + | 0.224135i | ||||
\(341\) | −301394. | + | 927596.i | −0.140362 | + | 0.431989i | ||||
\(342\) | −2.48105e6 | − | 1.80259e6i | −1.14702 | − | 0.833358i | ||||
\(343\) | −2.12321e6 | −0.974446 | ||||||||
\(344\) | 280642. | + | 203899.i | 0.127867 | + | 0.0929005i | ||||
\(345\) | −1.74982e6 | − | 674092.i | −0.791489 | − | 0.304910i | ||||
\(346\) | −153023. | + | 111178.i | −0.0687175 | + | 0.0499262i | ||||
\(347\) | −904973. | + | 657502.i | −0.403471 | + | 0.293139i | −0.770953 | − | 0.636892i | \(-0.780220\pi\) |
0.367482 | + | 0.930030i | \(0.380220\pi\) | |||||||
\(348\) | −1.03072e6 | − | 3.17223e6i | −0.456239 | − | 1.40416i | ||||
\(349\) | 1.20097e6 | 0.527801 | 0.263900 | − | 0.964550i | \(-0.414991\pi\) | ||||
0.263900 | + | 0.964550i | \(0.414991\pi\) | |||||||
\(350\) | −3.71300e6 | − | 3.35931e6i | −1.62015 | − | 1.46582i | ||||
\(351\) | −1.77552e6 | −0.769232 | ||||||||
\(352\) | −507904. | − | 1.56317e6i | −0.218487 | − | 0.672433i | ||||
\(353\) | 2.57069e6 | − | 1.86771e6i | 1.09802 | − | 0.797762i | 0.117289 | − | 0.993098i | \(-0.462580\pi\) |
0.980736 | + | 0.195336i | \(0.0625798\pi\) | |||||||
\(354\) | 1.10539e6 | − | 803112.i | 0.468821 | − | 0.340618i | ||||
\(355\) | 1.29035e6 | − | 1.58956e6i | 0.543420 | − | 0.669430i | ||||
\(356\) | 1.30309e6 | + | 946753.i | 0.544942 | + | 0.395924i | ||||
\(357\) | 6.34172e6 | 2.63352 | ||||||||
\(358\) | 160329. | + | 116486.i | 0.0661158 | + | 0.0480359i | ||||
\(359\) | −522344. | + | 1.60761e6i | −0.213905 | + | 0.658332i | 0.785325 | + | 0.619084i | \(0.212496\pi\) |
−0.999230 | + | 0.0392474i | \(0.987504\pi\) | |||||||
\(360\) | 505261. | − | 622423.i | 0.205475 | − | 0.253122i | ||||
\(361\) | −362682. | − | 1.11622e6i | −0.146473 | − | 0.450798i | ||||
\(362\) | −1.48762e6 | + | 4.57843e6i | −0.596652 | + | 1.83631i | ||||
\(363\) | −862875. | + | 2.65566e6i | −0.343701 | + | 1.05780i | ||||
\(364\) | 1.16448e6 | + | 3.58390e6i | 0.460658 | + | 1.41776i | ||||
\(365\) | −1.83243e6 | − | 2.82910e6i | −0.719939 | − | 1.11152i | ||||
\(366\) | 791284. | − | 2.43532e6i | 0.308766 | − | 0.950285i | ||||
\(367\) | −1.68327e6 | − | 1.22297e6i | −0.652363 | − | 0.473970i | 0.211712 | − | 0.977332i | \(-0.432096\pi\) |
−0.864075 | + | 0.503362i | \(0.832096\pi\) | |||||||
\(368\) | −1.60541e6 | −0.617970 | ||||||||
\(369\) | 4.15682e6 | + | 3.02010e6i | 1.58926 | + | 1.15466i | ||||
\(370\) | 1.36684e6 | − | 364494.i | 0.519056 | − | 0.138416i | ||||
\(371\) | 2.33065e6 | − | 1.69332e6i | 0.879108 | − | 0.638709i | ||||
\(372\) | 2.37845e6 | − | 1.72804e6i | 0.891119 | − | 0.647436i | ||||
\(373\) | 518262. | + | 1.59505e6i | 0.192876 | + | 0.593610i | 0.999995 | + | 0.00322172i | \(0.00102551\pi\) |
−0.807119 | + | 0.590389i | \(0.798974\pi\) | |||||||
\(374\) | −2.05383e6 | −0.759251 | ||||||||
\(375\) | −681029. | + | 4.20226e6i | −0.250085 | + | 1.54314i | ||||
\(376\) | 622860. | 0.227206 | ||||||||
\(377\) | 1.07170e6 | + | 3.29835e6i | 0.388346 | + | 1.19521i | ||||
\(378\) | 3.40674e6 | − | 2.47514e6i | 1.22634 | − | 0.890985i | ||||
\(379\) | −1.00833e6 | + | 732596.i | −0.360583 | + | 0.261979i | −0.753295 | − | 0.657682i | \(-0.771537\pi\) |
0.392712 | + | 0.919661i | \(0.371537\pi\) | |||||||
\(380\) | 1.64361e6 | − | 438298.i | 0.583901 | − | 0.155708i | ||||
\(381\) | −4.49799e6 | − | 3.26798e6i | −1.58747 | − | 1.15337i | ||||
\(382\) | 686517. | 0.240709 | ||||||||
\(383\) | 2.02591e6 | + | 1.47191e6i | 0.705706 | + | 0.512726i | 0.881786 | − | 0.471650i | \(-0.156342\pi\) |
−0.176079 | + | 0.984376i | \(0.556342\pi\) | |||||||
\(384\) | 621626. | − | 1.91317e6i | 0.215130 | − | 0.662102i | ||||
\(385\) | −1.37043e6 | − | 2.11580e6i | −0.471198 | − | 0.727484i | ||||
\(386\) | 1.93285e6 | + | 5.94870e6i | 0.660282 | + | 2.03214i | ||||
\(387\) | 920096. | − | 2.83177e6i | 0.312288 | − | 0.961125i | ||||
\(388\) | 720836. | − | 2.21850e6i | 0.243084 | − | 0.748137i | ||||
\(389\) | 600486. | + | 1.84811e6i | 0.201200 | + | 0.619231i | 0.999848 | + | 0.0174324i | \(0.00554917\pi\) |
−0.798648 | + | 0.601799i | \(0.794451\pi\) | |||||||
\(390\) | 4.44262e6 | − | 5.47279e6i | 1.47903 | − | 1.82199i | ||||
\(391\) | −529145. | + | 1.62854e6i | −0.175038 | + | 0.538713i | ||||
\(392\) | 891416. | + | 647651.i | 0.292998 | + | 0.212876i | ||||
\(393\) | −2.68686e6 | −0.877532 | ||||||||
\(394\) | −1.73117e6 | − | 1.25777e6i | −0.561821 | − | 0.408187i | ||||
\(395\) | 1.06931e6 | − | 1.31726e6i | 0.344835 | − | 0.424796i | ||||
\(396\) | −1.63138e6 | + | 1.18526e6i | −0.522777 | + | 0.379820i | ||||
\(397\) | 1.23762e6 | − | 899183.i | 0.394104 | − | 0.286333i | −0.373031 | − | 0.927819i | \(-0.621682\pi\) |
0.767135 | + | 0.641486i | \(0.221682\pi\) | |||||||
\(398\) | −352869. | − | 1.08602e6i | −0.111662 | − | 0.343661i | ||||
\(399\) | −5.81796e6 | −1.82952 | ||||||||
\(400\) | 749245. | + | 3.56683e6i | 0.234139 | + | 1.11463i | ||||
\(401\) | 2.64986e6 | 0.822930 | 0.411465 | − | 0.911426i | \(-0.365017\pi\) | ||||
0.411465 | + | 0.911426i | \(0.365017\pi\) | |||||||
\(402\) | 2.60648e6 | + | 8.02193e6i | 0.804433 | + | 2.47579i | ||||
\(403\) | −2.47301e6 | + | 1.79674e6i | −0.758512 | + | 0.551091i | ||||
\(404\) | 3.29342e6 | − | 2.39281e6i | 1.00391 | − | 0.729381i | ||||
\(405\) | 1.10649e6 | + | 426260.i | 0.335204 | + | 0.129133i | ||||
\(406\) | −6.65433e6 | − | 4.83465e6i | −2.00350 | − | 1.45563i | ||||
\(407\) | 712188. | 0.213112 | ||||||||
\(408\) | −1.00247e6 | − | 728336.i | −0.298140 | − | 0.216612i | ||||
\(409\) | 181506. | − | 558618.i | 0.0536516 | − | 0.165123i | −0.920640 | − | 0.390412i | \(-0.872333\pi\) |
0.974292 | + | 0.225289i | \(0.0723326\pi\) | |||||||
\(410\) | −6.05866e6 | + | 1.61565e6i | −1.77999 | + | 0.474666i | ||||
\(411\) | 3.11373e6 | + | 9.58308e6i | 0.909236 | + | 2.79834i | ||||
\(412\) | 946869. | − | 2.91416e6i | 0.274819 | − | 0.845806i | ||||
\(413\) | 473233. | − | 1.45646e6i | 0.136521 | − | 0.420169i | ||||
\(414\) | 1.14304e6 | + | 3.51791e6i | 0.327763 | + | 1.00875i | ||||
\(415\) | 1.33224e6 | + | 513229.i | 0.379720 | + | 0.146282i | ||||
\(416\) | 1.59183e6 | − | 4.89915e6i | 0.450986 | − | 1.38799i | ||||
\(417\) | −6.22229e6 | − | 4.52076e6i | −1.75231 | − | 1.27313i | ||||
\(418\) | 1.88420e6 | 0.527457 | ||||||||
\(419\) | −1.47852e6 | − | 1.07421e6i | −0.411428 | − | 0.298920i | 0.362752 | − | 0.931886i | \(-0.381837\pi\) |
−0.774180 | + | 0.632966i | \(0.781837\pi\) | |||||||
\(420\) | −406747. | + | 7.58764e6i | −0.112513 | + | 2.09886i | ||||
\(421\) | −522665. | + | 379738.i | −0.143720 | + | 0.104419i | −0.657322 | − | 0.753610i | \(-0.728311\pi\) |
0.513602 | + | 0.858029i | \(0.328311\pi\) | |||||||
\(422\) | 1.50963e6 | − | 1.09681e6i | 0.412657 | − | 0.299813i | ||||
\(423\) | −1.65207e6 | − | 5.08454e6i | −0.448928 | − | 1.38166i | ||||
\(424\) | −562893. | −0.152059 | ||||||||
\(425\) | 3.86517e6 | + | 415591.i | 1.03800 | + | 0.111608i | ||||
\(426\) | −6.83580e6 | −1.82501 | ||||||||
\(427\) | −886886. | − | 2.72955e6i | −0.235395 | − | 0.724473i | ||||
\(428\) | −3.54890e6 | + | 2.57842e6i | −0.936449 | + | 0.680370i | ||||
\(429\) | 2.87107e6 | − | 2.08595e6i | 0.753182 | − | 0.547219i | ||||
\(430\) | 1.97538e6 | + | 3.04979e6i | 0.515204 | + | 0.795424i | ||||
\(431\) | 2.23440e6 | + | 1.62339e6i | 0.579385 | + | 0.420948i | 0.838502 | − | 0.544898i | \(-0.183432\pi\) |
−0.259117 | + | 0.965846i | \(0.583432\pi\) | |||||||
\(432\) | −3.06515e6 | −0.790210 | ||||||||
\(433\) | 4.46823e6 | + | 3.24636e6i | 1.14529 | + | 0.832103i | 0.987848 | − | 0.155425i | \(-0.0496746\pi\) |
0.157444 | + | 0.987528i | \(0.449675\pi\) | |||||||
\(434\) | 2.24030e6 | − | 6.89494e6i | 0.570929 | − | 1.75714i | ||||
\(435\) | −374339. | + | 6.98309e6i | −0.0948510 | + | 1.76939i | ||||
\(436\) | 500508. | + | 1.54041e6i | 0.126094 | + | 0.388078i | ||||
\(437\) | 485443. | − | 1.49404e6i | 0.121600 | − | 0.374248i | ||||
\(438\) | −3.47774e6 | + | 1.07034e7i | −0.866187 | + | 2.66585i | ||||
\(439\) | −1.82763e6 | − | 5.62487e6i | −0.452613 | − | 1.39300i | −0.873915 | − | 0.486079i | \(-0.838427\pi\) |
0.421302 | − | 0.906921i | \(-0.361573\pi\) | |||||||
\(440\) | −26366.2 | + | 491847.i | −0.00649257 | + | 0.121115i | ||||
\(441\) | 2.92254e6 | − | 8.99465e6i | 0.715590 | − | 2.20236i | ||||
\(442\) | −5.20759e6 | − | 3.78354e6i | −1.26789 | − | 0.921175i | ||||
\(443\) | 6.22783e6 | 1.50774 | 0.753872 | − | 0.657022i | \(-0.228184\pi\) | ||||
0.753872 | + | 0.657022i | \(0.228184\pi\) | |||||||
\(444\) | −1.73674e6 | − | 1.26182e6i | −0.418098 | − | 0.303766i | ||||
\(445\) | −1.83585e6 | − | 2.83438e6i | −0.439479 | − | 0.678513i | ||||
\(446\) | 6.24201e6 | − | 4.53509e6i | 1.48589 | − | 1.07956i | ||||
\(447\) | 903389. | − | 656350.i | 0.213848 | − | 0.155370i | ||||
\(448\) | 1.36265e6 | + | 4.19382e6i | 0.320767 | + | 0.987221i | ||||
\(449\) | 1.79314e6 | 0.419757 | 0.209878 | − | 0.977728i | \(-0.432693\pi\) | ||||
0.209878 | + | 0.977728i | \(0.432693\pi\) | |||||||
\(450\) | 7.28247e6 | − | 4.18135e6i | 1.69530 | − | 0.973387i | ||||
\(451\) | −3.15684e6 | −0.730822 | ||||||||
\(452\) | −691264. | − | 2.12749e6i | −0.159147 | − | 0.489803i | ||||
\(453\) | −5.21017e6 | + | 3.78541e6i | −1.19291 | + | 0.866697i | ||||
\(454\) | −3.20215e6 | + | 2.32650e6i | −0.729124 | + | 0.529740i | ||||
\(455\) | 422918. | − | 7.88931e6i | 0.0957697 | − | 1.78653i | ||||
\(456\) | 919675. | + | 668183.i | 0.207120 | + | 0.150482i | ||||
\(457\) | −5.48425e6 | −1.22836 | −0.614182 | − | 0.789164i | \(-0.710514\pi\) | ||||
−0.614182 | + | 0.789164i | \(0.710514\pi\) | |||||||
\(458\) | −5.68008e6 | − | 4.12682e6i | −1.26529 | − | 0.919288i | ||||
\(459\) | −1.01028e6 | + | 3.10931e6i | −0.223825 | + | 0.688862i | ||||
\(460\) | −1.91456e6 | − | 737556.i | −0.421865 | − | 0.162518i | ||||
\(461\) | −2.01772e6 | − | 6.20989e6i | −0.442189 | − | 1.36092i | −0.885537 | − | 0.464568i | \(-0.846210\pi\) |
0.443348 | − | 0.896349i | \(-0.353790\pi\) | |||||||
\(462\) | −2.60091e6 | + | 8.00476e6i | −0.566917 | + | 1.74479i | ||||
\(463\) | 38916.0 | − | 119771.i | 0.00843676 | − | 0.0259657i | −0.946750 | − | 0.321971i | \(-0.895655\pi\) |
0.955186 | + | 0.296005i | \(0.0956546\pi\) | |||||||
\(464\) | 1.85012e6 | + | 5.69408e6i | 0.398937 | + | 1.22780i | ||||
\(465\) | −5.95567e6 | + | 1.58819e6i | −1.27731 | + | 0.340620i | ||||
\(466\) | 295042. | − | 908047.i | 0.0629389 | − | 0.193706i | ||||
\(467\) | −4.80471e6 | − | 3.49083e6i | −1.01947 | − | 0.740689i | −0.0532971 | − | 0.998579i | \(-0.516973\pi\) |
−0.966174 | + | 0.257889i | \(0.916973\pi\) | |||||||
\(468\) | −6.31992e6 | −1.33382 | ||||||||
\(469\) | 7.64831e6 | + | 5.55682e6i | 1.60559 | + | 1.16653i | ||||
\(470\) | 6.08820e6 | + | 2.34539e6i | 1.27129 | + | 0.489746i | ||||
\(471\) | 4.90573e6 | − | 3.56422e6i | 1.01895 | − | 0.740308i | ||||
\(472\) | −242079. | + | 175881.i | −0.0500152 | + | 0.0363381i | ||||
\(473\) | 565305. | + | 1.73983e6i | 0.116180 | + | 0.357564i | ||||
\(474\) | −5.66482e6 | −1.15809 | ||||||||
\(475\) | −3.54595e6 | − | 381267.i | −0.721104 | − | 0.0775346i | ||||
\(476\) | 6.93877e6 | 1.40367 | ||||||||
\(477\) | 1.49301e6 | + | 4.59502e6i | 0.300447 | + | 0.924680i | ||||
\(478\) | 4.58460e6 | − | 3.33091e6i | 0.917765 | − | 0.666795i | ||||
\(479\) | −2.85958e6 | + | 2.07761e6i | −0.569460 | + | 0.413737i | −0.834909 | − | 0.550388i | \(-0.814480\pi\) |
0.265449 | + | 0.964125i | \(0.414480\pi\) | |||||||
\(480\) | 6.54646e6 | − | 8.06448e6i | 1.29689 | − | 1.59762i | ||||
\(481\) | 1.80579e6 | + | 1.31198e6i | 0.355881 | + | 0.258563i | ||||
\(482\) | −6.35979e6 | −1.24688 | ||||||||
\(483\) | 5.67712e6 | + | 4.12467e6i | 1.10729 | + | 0.804491i | ||||
\(484\) | −944112. | + | 2.90568e6i | −0.183194 | + | 0.563812i | ||||
\(485\) | −3.08233e6 | + | 3.79706e6i | −0.595010 | + | 0.732983i | ||||
\(486\) | −2.73493e6 | − | 8.41726e6i | −0.525238 | − | 1.61652i | ||||
\(487\) | 2.49345e6 | − | 7.67404e6i | 0.476407 | − | 1.46623i | −0.367644 | − | 0.929966i | \(-0.619836\pi\) |
0.844051 | − | 0.536263i | \(-0.180164\pi\) | |||||||
\(488\) | −173290. | + | 533333.i | −0.0329401 | + | 0.101379i | ||||
\(489\) | 908601. | + | 2.79639e6i | 0.171831 | + | 0.528841i | ||||
\(490\) | 6.27447e6 | + | 9.68717e6i | 1.18056 | + | 1.82266i | ||||
\(491\) | −1.93118e6 | + | 5.94355e6i | −0.361508 | + | 1.11261i | 0.590631 | + | 0.806942i | \(0.298879\pi\) |
−0.952139 | + | 0.305666i | \(0.901121\pi\) | |||||||
\(492\) | 7.69827e6 | + | 5.59312e6i | 1.43377 | + | 1.04170i | ||||
\(493\) | 6.38591e6 | 1.18333 | ||||||||
\(494\) | 4.77750e6 | + | 3.47106e6i | 0.880812 | + | 0.639947i | ||||
\(495\) | 4.08500e6 | − | 1.08934e6i | 0.749339 | − | 0.199825i | ||||
\(496\) | −4.26925e6 | + | 3.10179e6i | −0.779198 | + | 0.566120i | ||||
\(497\) | −6.19844e6 | + | 4.50343e6i | −1.12562 | + | 0.817810i | ||||
\(498\) | −1.47302e6 | − | 4.53349e6i | −0.266156 | − | 0.819143i | ||||
\(499\) | 5.79760e6 | 1.04231 | 0.521155 | − | 0.853462i | \(-0.325501\pi\) | ||||
0.521155 | + | 0.853462i | \(0.325501\pi\) | |||||||
\(500\) | −745146. | + | 4.59789e6i | −0.133296 | + | 0.822495i | ||||
\(501\) | 1.44122e6 | 0.256529 | ||||||||
\(502\) | 961865. | + | 2.96032e6i | 0.170355 | + | 0.524299i | ||||
\(503\) | 5.53210e6 | − | 4.01931e6i | 0.974923 | − | 0.708323i | 0.0183547 | − | 0.999832i | \(-0.494157\pi\) |
0.956568 | + | 0.291509i | \(0.0941572\pi\) | |||||||
\(504\) | −2.42712e6 | + | 1.76341e6i | −0.425613 | + | 0.309226i | ||||
\(505\) | −8.24677e6 | + | 2.19915e6i | −1.43898 | + | 0.383731i | ||||
\(506\) | −1.83859e6 | − | 1.33582e6i | −0.319234 | − | 0.231937i | ||||
\(507\) | 2.07443e6 | 0.358409 | ||||||||
\(508\) | −4.92146e6 | − | 3.57565e6i | −0.846126 | − | 0.614746i | ||||
\(509\) | 37063.9 | − | 114071.i | 0.00634098 | − | 0.0195155i | −0.947836 | − | 0.318758i | \(-0.896734\pi\) |
0.954177 | + | 0.299243i | \(0.0967341\pi\) | |||||||
\(510\) | −7.05615e6 | − | 1.08940e7i | −1.20128 | − | 1.85465i | ||||
\(511\) | 3.89791e6 | + | 1.19965e7i | 0.660359 | + | 2.03237i | ||||
\(512\) | 2.27663e6 | − | 7.00674e6i | 0.383811 | − | 1.18125i | ||||
\(513\) | 926837. | − | 2.85251e6i | 0.155493 | − | 0.478558i | ||||
\(514\) | −2.79045e6 | − | 8.58811e6i | −0.465871 | − | 1.43380i | ||||
\(515\) | −4.04885e6 | + | 4.98771e6i | −0.672688 | + | 0.828673i | ||||
\(516\) | 1.70399e6 | − | 5.24433e6i | 0.281736 | − | 0.867093i | ||||
\(517\) | 2.65738e6 | + | 1.93070e6i | 0.437247 | + | 0.317678i | ||||
\(518\) | −5.29378e6 | −0.866845 | ||||||||
\(519\) | −486868. | − | 353731.i | −0.0793402 | − | 0.0576440i | ||||
\(520\) | −972928. | + | 1.19853e6i | −0.157787 | + | 0.194376i | ||||
\(521\) | 1.56863e6 | − | 1.13967e6i | 0.253178 | − | 0.183944i | −0.453956 | − | 0.891024i | \(-0.649988\pi\) |
0.707134 | + | 0.707080i | \(0.249988\pi\) | |||||||
\(522\) | 1.11601e7 | − | 8.10825e6i | 1.79263 | − | 1.30242i | ||||
\(523\) | −1.21271e6 | − | 3.73234e6i | −0.193867 | − | 0.596661i | −0.999988 | − | 0.00491023i | \(-0.998437\pi\) |
0.806121 | − | 0.591751i | \(-0.201563\pi\) | |||||||
\(524\) | −2.93982e6 | −0.467727 | ||||||||
\(525\) | 6.51449e6 | − | 1.45381e7i | 1.03153 | − | 2.30203i | ||||
\(526\) | 1.12033e7 | 1.76556 | ||||||||
\(527\) | 1.73933e6 | + | 5.35311e6i | 0.272807 | + | 0.839615i | ||||
\(528\) | 4.95644e6 | − | 3.60107e6i | 0.773723 | − | 0.562143i | ||||
\(529\) | 3.67421e6 | − | 2.66947e6i | 0.570854 | − | 0.414749i | ||||
\(530\) | −5.50204e6 | − | 2.11959e6i | −0.850814 | − | 0.327764i | ||||
\(531\) | 2.07784e6 | + | 1.50964e6i | 0.319798 | + | 0.232347i | ||||
\(532\) | −6.36570e6 | −0.975140 | ||||||||
\(533\) | −8.00434e6 | − | 5.81549e6i | −1.22041 | − | 0.886683i | ||||
\(534\) | −3.48424e6 | + | 1.07234e7i | −0.528755 | + | 1.62734i | ||||
\(535\) | 8.88650e6 | − | 2.36975e6i | 1.34229 | − | 0.357946i | ||||
\(536\) | −570817. | − | 1.75679e6i | −0.0858192 | − | 0.264124i | ||||
\(537\) | −194846. | + | 599674.i | −0.0291579 | + | 0.0897387i | ||||
\(538\) | −2.17470e6 | + | 6.69305e6i | −0.323925 | + | 0.996938i | ||||
\(539\) | 1.79560e6 | + | 5.52630e6i | 0.266219 | + | 0.819336i | ||||
\(540\) | −3.65538e6 | − | 1.40819e6i | −0.539447 | − | 0.207814i | ||||
\(541\) | −782255. | + | 2.40753e6i | −0.114909 | + | 0.353654i | −0.991928 | − | 0.126802i | \(-0.959529\pi\) |
0.877019 | + | 0.480456i | \(0.159529\pi\) | |||||||
\(542\) | 1.72742e6 | + | 1.25505e6i | 0.252581 | + | 0.183511i | ||||
\(543\) | −1.53167e7 | −2.22928 | ||||||||
\(544\) | −7.67370e6 | − | 5.57527e6i | −1.11175 | − | 0.807734i | ||||
\(545\) | 181776. | − | 3.39092e6i | 0.0262147 | − | 0.489020i | ||||
\(546\) | −2.13410e7 | + | 1.55051e7i | −3.06361 | + | 2.22584i | ||||
\(547\) | 6.46512e6 | − | 4.69718e6i | 0.923864 | − | 0.671226i | −0.0206189 | − | 0.999787i | \(-0.506564\pi\) |
0.944483 | + | 0.328561i | \(0.106564\pi\) | |||||||
\(548\) | 3.40688e6 | + | 1.04853e7i | 0.484625 | + | 1.49152i | ||||
\(549\) | 4.81335e6 | 0.681579 | ||||||||
\(550\) | −2.10978e6 | + | 4.70832e6i | −0.297393 | + | 0.663681i | ||||
\(551\) | −5.85850e6 | −0.822068 | ||||||||
\(552\) | −423701. | − | 1.30402e6i | −0.0591850 | − | 0.182153i | ||||
\(553\) | −5.13664e6 | + | 3.73199e6i | −0.714277 | + | 0.518952i | ||||
\(554\) | 1.27840e7 | − | 9.28814e6i | 1.76967 | − | 1.28574i | ||||
\(555\) | 2.44680e6 | + | 3.77762e6i | 0.337183 | + | 0.520578i | ||||
\(556\) | −6.80810e6 | − | 4.94638e6i | −0.933984 | − | 0.678579i | ||||
\(557\) | −6.12745e6 | −0.836839 | −0.418420 | − | 0.908254i | \(-0.637416\pi\) | ||||
−0.418420 | + | 0.908254i | \(0.637416\pi\) | |||||||
\(558\) | 9.83657e6 | + | 7.14668e6i | 1.33739 | + | 0.971671i | ||||
\(559\) | −1.77173e6 | + | 5.45283e6i | −0.239811 | + | 0.738061i | ||||
\(560\) | 730102. | − | 1.36196e7i | 0.0983815 | − | 1.83525i | ||||
\(561\) | −2.01930e6 | − | 6.21477e6i | −0.270890 | − | 0.833715i | ||||
\(562\) | −2.19121e6 | + | 6.74384e6i | −0.292646 | + | 0.900671i | ||||
\(563\) | 2.87393e6 | − | 8.84506e6i | 0.382125 | − | 1.17606i | −0.556419 | − | 0.830902i | \(-0.687825\pi\) |
0.938544 | − | 0.345159i | \(-0.112175\pi\) | |||||||
\(564\) | −3.05957e6 | − | 9.41640e6i | −0.405007 | − | 1.24648i | ||||
\(565\) | −251055. | + | 4.68329e6i | −0.0330862 | + | 0.617205i | ||||
\(566\) | −4.51757e6 | + | 1.39037e7i | −0.592740 | + | 1.82427i | ||||
\(567\) | −3.58990e6 | − | 2.60822e6i | −0.468949 | − | 0.340711i | ||||
\(568\) | 1.49703e6 | 0.194697 | ||||||||
\(569\) | −8.23269e6 | − | 5.98140e6i | −1.06601 | − | 0.774501i | −0.0908184 | − | 0.995867i | \(-0.528948\pi\) |
−0.975191 | + | 0.221367i | \(0.928948\pi\) | |||||||
\(570\) | 6.47339e6 | + | 9.99427e6i | 0.834535 | + | 1.28844i | ||||
\(571\) | −5.45570e6 | + | 3.96380e6i | −0.700261 | + | 0.508770i | −0.880017 | − | 0.474942i | \(-0.842469\pi\) |
0.179756 | + | 0.983711i | \(0.442469\pi\) | |||||||
\(572\) | 3.14137e6 | − | 2.28234e6i | 0.401448 | − | 0.291669i | ||||
\(573\) | 674975. | + | 2.07736e6i | 0.0858818 | + | 0.264317i | ||||
\(574\) | 2.34652e7 | 2.97265 | ||||||||
\(575\) | 3.18981e6 | + | 2.88595e6i | 0.402342 | + | 0.364015i | ||||
\(576\) | −7.39546e6 | −0.928771 | ||||||||
\(577\) | 474086. | + | 1.45909e6i | 0.0592813 | + | 0.182449i | 0.976312 | − | 0.216368i | \(-0.0694209\pi\) |
−0.917031 | + | 0.398817i | \(0.869421\pi\) | |||||||
\(578\) | −790894. | + | 574618.i | −0.0984688 | + | 0.0715418i | ||||
\(579\) | −1.61001e7 | + | 1.16974e7i | −1.99586 | + | 1.45008i | ||||
\(580\) | −409582. | + | 7.64052e6i | −0.0505558 | + | 0.943090i | ||||
\(581\) | −4.32235e6 | − | 3.14037e6i | −0.531226 | − | 0.385958i | ||||
\(582\) | 1.63291e7 | 1.99827 | ||||||||
\(583\) | −2.40153e6 | − | 1.74482e6i | −0.292629 | − | 0.212607i | ||||
\(584\) | 761620. | − | 2.34403e6i | 0.0924073 | − | 0.284400i | ||||
\(585\) | 1.23645e7 | + | 4.76325e6i | 1.49378 | + | 0.575458i | ||||
\(586\) | −4.15031e6 | − | 1.27733e7i | −0.499271 | − | 1.53660i | ||||
\(587\) | −3.77896e6 | + | 1.16304e7i | −0.452665 | + | 1.39316i | 0.421190 | + | 0.906973i | \(0.361613\pi\) |
−0.873855 | + | 0.486187i | \(0.838387\pi\) | |||||||
\(588\) | 5.41244e6 | − | 1.66578e7i | 0.645580 | − | 1.98689i | ||||
\(589\) | −1.59568e6 | − | 4.91100e6i | −0.189521 | − | 0.583286i | ||||
\(590\) | −3.02850e6 | + | 807606.i | −0.358177 | + | 0.0955145i | ||||
\(591\) | 2.10386e6 | − | 6.47503e6i | 0.247770 | − | 0.762558i | ||||
\(592\) | 3.11741e6 | + | 2.26493e6i | 0.365586 | + | 0.265614i | ||||
\(593\) | 9.69792e6 | 1.13251 | 0.566255 | − | 0.824230i | \(-0.308392\pi\) | ||||
0.566255 | + | 0.824230i | \(0.308392\pi\) | |||||||
\(594\) | −3.51035e6 | − | 2.55042e6i | −0.408211 | − | 0.296583i | ||||
\(595\) | −1.35752e7 | − | 5.22967e6i | −1.57201 | − | 0.605594i | ||||
\(596\) | 988440. | − | 718144.i | 0.113982 | − | 0.0828125i | ||||
\(597\) | 2.93929e6 | − | 2.13552e6i | 0.337526 | − | 0.245227i | ||||
\(598\) | −2.20103e6 | − | 6.77406e6i | −0.251694 | − | 0.774634i | ||||
\(599\) | −1.38373e7 | −1.57574 | −0.787871 | − | 0.615840i | \(-0.788817\pi\) | ||||
−0.787871 | + | 0.615840i | \(0.788817\pi\) | |||||||
\(600\) | −2.69946e6 | + | 1.54994e6i | −0.306125 | + | 0.175767i | ||||
\(601\) | 1.29968e7 | 1.46774 | 0.733870 | − | 0.679290i | \(-0.237712\pi\) | ||||
0.733870 | + | 0.679290i | \(0.237712\pi\) | |||||||
\(602\) | −4.20198e6 | − | 1.29324e7i | −0.472567 | − | 1.45441i | ||||
\(603\) | −1.28271e7 | + | 9.31941e6i | −1.43659 | + | 1.04375i | ||||
\(604\) | −5.70069e6 | + | 4.14179e6i | −0.635821 | + | 0.461951i | ||||
\(605\) | 4.03706e6 | − | 4.97319e6i | 0.448412 | − | 0.552391i | ||||
\(606\) | 2.30544e7 | + | 1.67500e7i | 2.55019 | + | 1.85282i | ||||
\(607\) | 6.21537e6 | 0.684692 | 0.342346 | − | 0.939574i | \(-0.388778\pi\) | ||||
0.342346 | + | 0.939574i | \(0.388778\pi\) | |||||||
\(608\) | 7.03993e6 | + | 5.11481e6i | 0.772341 | + | 0.561139i | ||||
\(609\) | 8.08692e6 | − | 2.48890e7i | 0.883568 | − | 2.71934i | ||||
\(610\) | −3.70212e6 | + | 4.56058e6i | −0.402834 | + | 0.496244i | ||||
\(611\) | 3.18121e6 | + | 9.79077e6i | 0.344738 | + | 1.06100i | ||||
\(612\) | −3.59606e6 | + | 1.10675e7i | −0.388104 | + | 1.19446i | ||||
\(613\) | 2.78697e6 | − | 8.57740e6i | 0.299558 | − | 0.921944i | −0.682094 | − | 0.731264i | \(-0.738931\pi\) |
0.981652 | − | 0.190680i | \(-0.0610693\pi\) | |||||||
\(614\) | 1.39782e6 | + | 4.30203e6i | 0.149634 | + | 0.460525i | ||||
\(615\) | −1.08457e7 | − | 1.67447e7i | −1.15629 | − | 1.78521i | ||||
\(616\) | 569595. | − | 1.75303e6i | 0.0604804 | − | 0.186139i | ||||
\(617\) | 9.54049e6 | + | 6.93157e6i | 1.00892 | + | 0.733025i | 0.963983 | − | 0.265965i | \(-0.0856904\pi\) |
0.0449398 | + | 0.998990i | \(0.485690\pi\) | |||||||
\(618\) | 2.14494e7 | 2.25914 | ||||||||
\(619\) | −1.47397e7 | − | 1.07090e7i | −1.54618 | − | 1.12337i | −0.946305 | − | 0.323276i | \(-0.895216\pi\) |
−0.599878 | − | 0.800092i | \(-0.704784\pi\) | |||||||
\(620\) | −6.51637e6 | + | 1.73771e6i | −0.680811 | + | 0.181551i | ||||
\(621\) | −2.92671e6 | + | 2.12638e6i | −0.304544 | + | 0.221264i | ||||
\(622\) | 1.50134e7 | − | 1.09079e7i | 1.55597 | − | 1.13048i | ||||
\(623\) | 3.90519e6 | + | 1.20190e7i | 0.403109 | + | 1.24064i | ||||
\(624\) | 1.92012e7 | 1.97409 | ||||||||
\(625\) | 4.92320e6 | − | 8.43384e6i | 0.504135 | − | 0.863625i | ||||
\(626\) | 1.12739e7 | 1.14984 | ||||||||
\(627\) | 1.85253e6 | + | 5.70149e6i | 0.188190 | + | 0.579188i | ||||
\(628\) | 5.36759e6 | − | 3.89978e6i | 0.543101 | − | 0.394586i | ||||
\(629\) | 3.32506e6 | − | 2.41580e6i | 0.335099 | − | 0.243464i | ||||
\(630\) | −3.03643e7 | + | 8.09719e6i | −3.04798 | + | 0.812799i | ||||
\(631\) | −8.70954e6 | − | 6.32785e6i | −0.870807 | − | 0.632678i | 0.0599962 | − | 0.998199i | \(-0.480891\pi\) |
−0.930803 | + | 0.365520i | \(0.880891\pi\) | |||||||
\(632\) | 1.24059e6 | 0.123548 | ||||||||
\(633\) | 4.80313e6 | + | 3.48968e6i | 0.476448 | + | 0.346160i | ||||
\(634\) | −3.43868e6 | + | 1.05832e7i | −0.339757 | + | 1.04567i | ||||
\(635\) | 6.93357e6 | + | 1.07048e7i | 0.682374 | + | 1.05352i | ||||
\(636\) | 2.76501e6 | + | 8.50982e6i | 0.271053 | + | 0.834214i | ||||
\(637\) | −5.62762e6 | + | 1.73200e7i | −0.549511 | + | 1.69122i | ||||
\(638\) | −2.61903e6 | + | 8.06055e6i | −0.254735 | + | 0.783994i | ||||
\(639\) | −3.97072e6 | − | 1.22206e7i | −0.384695 | − | 1.18397i | ||||
\(640\) | −2.90835e6 | + | 3.58275e6i | −0.280670 | + | 0.345753i | ||||
\(641\) | −1.21013e6 | + | 3.72441e6i | −0.116329 | + | 0.358024i | −0.992222 | − | 0.124482i | \(-0.960273\pi\) |
0.875893 | + | 0.482506i | \(0.160273\pi\) | |||||||
\(642\) | −2.48428e7 | − | 1.80494e7i | −2.37883 | − | 1.72832i | ||||
\(643\) | 1.20729e7 | 1.15155 | 0.575777 | − | 0.817607i | \(-0.304700\pi\) | ||||
0.575777 | + | 0.817607i | \(0.304700\pi\) | |||||||
\(644\) | 6.21160e6 | + | 4.51299e6i | 0.590186 | + | 0.428795i | ||||
\(645\) | −7.28632e6 | + | 8.97589e6i | −0.689618 | + | 0.849529i | ||||
\(646\) | 8.79697e6 | − | 6.39137e6i | 0.829377 | − | 0.602578i | ||||
\(647\) | −2.90843e6 | + | 2.11310e6i | −0.273148 | + | 0.198454i | −0.715923 | − | 0.698179i | \(-0.753994\pi\) |
0.442775 | + | 0.896633i | \(0.353994\pi\) | |||||||
\(648\) | 267925. | + | 824590.i | 0.0250655 | + | 0.0771437i | ||||
\(649\) | −1.57799e6 | −0.147059 | ||||||||
\(650\) | −1.40231e7 | + | 8.05159e6i | −1.30185 | + | 0.747477i | ||||
\(651\) | 2.30663e7 | 2.13317 | ||||||||
\(652\) | 994143. | + | 3.05966e6i | 0.0915862 | + | 0.281873i | ||||
\(653\) | −1.09391e7 | + | 7.94773e6i | −1.00392 | + | 0.729391i | −0.962925 | − | 0.269769i | \(-0.913053\pi\) |
−0.0409950 | + | 0.999159i | \(0.513053\pi\) | |||||||
\(654\) | −9.17263e6 | + | 6.66430e6i | −0.838589 | + | 0.609271i | ||||
\(655\) | 5.75155e6 | + | 2.21570e6i | 0.523819 | + | 0.201794i | ||||
\(656\) | −1.38182e7 | − | 1.00395e7i | −1.25370 | − | 0.910864i | ||||
\(657\) | −2.11549e7 | −1.91205 | ||||||||
\(658\) | −1.97526e7 | − | 1.43511e7i | −1.77852 | − | 1.29217i | ||||
\(659\) | −3.80265e6 | + | 1.17034e7i | −0.341093 | + | 1.04978i | 0.622549 | + | 0.782581i | \(0.286097\pi\) |
−0.963642 | + | 0.267197i | \(0.913903\pi\) | |||||||
\(660\) | 7.56527e6 | − | 2.01742e6i | 0.676028 | − | 0.180275i | ||||
\(661\) | −368961. | − | 1.13555e6i | −0.0328456 | − | 0.101088i | 0.933290 | − | 0.359124i | \(-0.116925\pi\) |
−0.966135 | + | 0.258036i | \(0.916925\pi\) | |||||||
\(662\) | 3.70583e6 | − | 1.14054e7i | 0.328655 | − | 1.01150i | ||||
\(663\) | 6.32872e6 | − | 1.94778e7i | 0.559155 | − | 1.72090i | ||||
\(664\) | 322590. | + | 992829.i | 0.0283942 | + | 0.0873885i | ||||
\(665\) | 1.24540e7 | + | 4.79775e6i | 1.09208 | + | 0.420711i | ||||
\(666\) | 2.74353e6 | − | 8.44373e6i | 0.239676 | − | 0.737647i | ||||
\(667\) | 5.71669e6 | + | 4.15342e6i | 0.497542 | + | 0.361485i | ||||
\(668\) | 1.57691e6 | 0.136731 | ||||||||
\(669\) | 1.98600e7 | + | 1.44291e7i | 1.71559 | + | 1.24645i | ||||
\(670\) | 1.03575e6 | − | 1.93214e7i | 0.0891391 | − | 1.66284i | ||||
\(671\) | −2.39252e6 | + | 1.73826e6i | −0.205139 | + | 0.149042i | ||||
\(672\) | −3.14472e7 | + | 2.28478e7i | −2.68633 | + | 1.95173i | ||||
\(673\) | 4.10977e6 | + | 1.26486e7i | 0.349767 | + | 1.07647i | 0.958982 | + | 0.283468i | \(0.0914849\pi\) |
−0.609214 | + | 0.793006i | \(0.708515\pi\) | |||||||
\(674\) | −1.97824e7 | −1.67737 | ||||||||
\(675\) | 6.09017e6 | + | 5.51004e6i | 0.514482 | + | 0.465474i | ||||
\(676\) | 2.26973e6 | 0.191033 | ||||||||
\(677\) | −234076. | − | 720413.i | −0.0196284 | − | 0.0604101i | 0.940763 | − | 0.339066i | \(-0.110111\pi\) |
−0.960391 | + | 0.278656i | \(0.910111\pi\) | |||||||
\(678\) | 1.26685e7 | − | 9.20423e6i | 1.05841 | − | 0.768977i | ||||
\(679\) | 1.48066e7 | − | 1.07576e7i | 1.23248 | − | 0.895449i | ||||
\(680\) | 1.54529e6 | + | 2.38577e6i | 0.128155 | + | 0.197860i | ||||
\(681\) | −1.01881e7 | − | 7.40212e6i | −0.841836 | − | 0.611630i | ||||
\(682\) | −7.47026e6 | −0.614999 | ||||||||
\(683\) | −1.41779e7 | − | 1.03008e7i | −1.16295 | − | 0.844930i | −0.172799 | − | 0.984957i | \(-0.555281\pi\) |
−0.990148 | + | 0.140027i | \(0.955281\pi\) | |||||||
\(684\) | 3.29906e6 | − | 1.01535e7i | 0.269619 | − | 0.829801i | ||||
\(685\) | 1.23732e6 | − | 2.30815e7i | 0.100752 | − | 1.87948i | ||||
\(686\) | −5.02526e6 | − | 1.54662e7i | −0.407707 | − | 1.25479i | ||||
\(687\) | 6.90293e6 | − | 2.12450e7i | 0.558009 | − | 1.71738i | ||||
\(688\) | −3.05861e6 | + | 9.41345e6i | −0.246351 | + | 0.758189i | ||||
\(689\) | −2.87494e6 | − | 8.84814e6i | −0.230717 | − | 0.710075i | ||||
\(690\) | 768808. | − | 1.43417e7i | 0.0614745 | − | 1.14677i | ||||
\(691\) | −3.58683e6 | + | 1.10391e7i | −0.285769 | + | 0.879507i | 0.700398 | + | 0.713753i | \(0.253006\pi\) |
−0.986167 | + | 0.165754i | \(0.946994\pi\) | |||||||
\(692\) | −532705. | − | 387033.i | −0.0422885 | − | 0.0307244i | ||||
\(693\) | −1.58212e7 | −1.25143 | ||||||||
\(694\) | −6.93136e6 | − | 5.03593e6i | −0.546286 | − | 0.396900i | ||||
\(695\) | 9.59156e6 | + | 1.48084e7i | 0.753229 | + | 1.16291i | ||||
\(696\) | −4.13680e6 | + | 3.00556e6i | −0.323699 | + | 0.235181i | ||||
\(697\) | −1.47387e7 | + | 1.07083e7i | −1.14915 | + | 0.834905i | ||||
\(698\) | 2.84249e6 | + | 8.74829e6i | 0.220831 | + | 0.679649i | ||||
\(699\) | 3.03778e6 | 0.235160 | ||||||||
\(700\) | 7.12781e6 | − | 1.59069e7i | 0.549808 | − | 1.22699i | ||||
\(701\) | −2.51869e7 | −1.93588 | −0.967942 | − | 0.251174i | \(-0.919183\pi\) | ||||
−0.967942 | + | 0.251174i | \(0.919183\pi\) | |||||||
\(702\) | −4.20233e6 | − | 1.29334e7i | −0.321846 | − | 0.990539i | ||||
\(703\) | −3.05045e6 | + | 2.21628e6i | −0.232796 | + | 0.169136i | ||||
\(704\) | 3.67597e6 | − | 2.67075e6i | 0.279538 | − | 0.203096i | ||||
\(705\) | −1.11118e6 | + | 2.07285e7i | −0.0842001 | + | 1.57071i | ||||
\(706\) | 1.96894e7 | + | 1.43052e7i | 1.48669 | + | 1.08014i | ||||
\(707\) | 3.19397e7 | 2.40316 | ||||||||
\(708\) | 3.84809e6 | + | 2.79580e6i | 0.288511 | + | 0.209615i | ||||
\(709\) | −6.18057e6 | + | 1.90218e7i | −0.461756 | + | 1.42114i | 0.401260 | + | 0.915964i | \(0.368572\pi\) |
−0.863016 | + | 0.505176i | \(0.831428\pi\) | |||||||
\(710\) | 1.46329e7 | + | 5.63711e6i | 1.08939 | + | 0.419673i | ||||
\(711\) | −3.29053e6 | − | 1.01272e7i | −0.244114 | − | 0.751304i | ||||
\(712\) | 763043. | − | 2.34840e6i | 0.0564091 | − | 0.173609i | ||||
\(713\) | −1.92463e6 | + | 5.92339e6i | −0.141782 | + | 0.436361i | ||||
\(714\) | 1.50097e7 | + | 4.61951e7i | 1.10186 | + | 3.39118i | ||||
\(715\) | −7.86604e6 | + | 2.09762e6i | −0.575428 | + | 0.153449i | ||||
\(716\) | −213190. | + | 656132.i | −0.0155412 | + | 0.0478309i | ||||
\(717\) | 1.45866e7 | + | 1.05978e7i | 1.05964 | + | 0.769872i | ||||
\(718\) | −1.29467e7 | −0.937230 | ||||||||
\(719\) | 1.61879e7 | + | 1.17612e7i | 1.16780 | + | 0.848457i | 0.990744 | − | 0.135744i | \(-0.0433425\pi\) |
0.177056 | + | 0.984201i | \(0.443342\pi\) | |||||||
\(720\) | 2.13453e7 | + | 8.22299e6i | 1.53452 | + | 0.591151i | ||||
\(721\) | 1.94495e7 | − | 1.41309e7i | 1.39338 | − | 1.01235i | ||||
\(722\) | 7.27251e6 | − | 5.28379e6i | 0.519208 | − | 0.377227i | ||||
\(723\) | −6.25287e6 | − | 1.92443e7i | −0.444870 | − | 1.36917i | ||||
\(724\) | −1.67587e7 | −1.18821 | ||||||||
\(725\) | 6.55989e6 | − | 1.46395e7i | 0.463502 | − | 1.03438i | ||||
\(726\) | −2.13869e7 | −1.50594 | ||||||||
\(727\) | −6.92853e6 | − | 2.13238e7i | −0.486189 | − | 1.49634i | −0.830252 | − | 0.557389i | \(-0.811803\pi\) |
0.344063 | − | 0.938947i | \(-0.388197\pi\) | |||||||
\(728\) | 4.67365e6 | − | 3.39561e6i | 0.326834 | − | 0.237459i | ||||
\(729\) | 1.86112e7 | − | 1.35218e7i | 1.29705 | − | 0.942360i | ||||
\(730\) | 1.62710e7 | − | 2.00440e7i | 1.13008 | − | 1.39212i | ||||
\(731\) | 8.54095e6 | + | 6.20536e6i | 0.591170 | + | 0.429510i | ||||
\(732\) | 8.91415e6 | 0.614897 | ||||||||
\(733\) | 6.60774e6 | + | 4.80080e6i | 0.454248 | + | 0.330030i | 0.791271 | − | 0.611466i | \(-0.209420\pi\) |
−0.337023 | + | 0.941496i | \(0.609420\pi\) | |||||||
\(734\) | 4.92450e6 | − | 1.51561e7i | 0.337382 | − | 1.03836i | ||||
\(735\) | −2.31438e7 | + | 2.85105e7i | −1.58022 | + | 1.94664i | ||||
\(736\) | −3.24334e6 | − | 9.98199e6i | −0.220698 | − | 0.679239i | ||||
\(737\) | 3.01025e6 | − | 9.26458e6i | 0.204142 | − | 0.628286i | ||||
\(738\) | −1.21610e7 | + | 3.74276e7i | −0.821916 | + | 2.52960i | ||||
\(739\) | −7.64733e6 | − | 2.35361e7i | −0.515109 | − | 1.58534i | −0.783084 | − | 0.621916i | \(-0.786355\pi\) |
0.267976 | − | 0.963426i | \(-0.413645\pi\) | |||||||
\(740\) | 2.67716e6 | + | 4.13327e6i | 0.179719 | + | 0.277469i | ||||
\(741\) | −5.80603e6 | + | 1.78691e7i | −0.388449 | + | 1.19552i | ||||
\(742\) | 1.78509e7 | + | 1.29694e7i | 1.19028 | + | 0.864791i | ||||
\(743\) | −1.96747e7 | −1.30748 | −0.653741 | − | 0.756718i | \(-0.726802\pi\) | ||||
−0.653741 | + | 0.756718i | \(0.726802\pi\) | |||||||
\(744\) | −3.64621e6 | − | 2.64913e6i | −0.241496 | − | 0.175457i | ||||
\(745\) | −2.47507e6 | + | 660023.i | −0.163379 | + | 0.0435681i | ||||
\(746\) | −1.03922e7 | + | 7.55038e6i | −0.683692 | + | 0.496732i | ||||
\(747\) | 7.24905e6 | − | 5.26675e6i | 0.475313 | − | 0.345335i | ||||
\(748\) | −2.20941e6 | − | 6.79987e6i | −0.144385 | − | 0.444372i | ||||
\(749\) | −3.44174e7 | −2.24168 | ||||||||
\(750\) | −3.22225e7 | + | 4.98515e6i | −2.09173 | + | 0.323612i | ||||
\(751\) | −5.44067e6 | −0.352008 | −0.176004 | − | 0.984389i | \(-0.556317\pi\) | ||||
−0.176004 | + | 0.984389i | \(0.556317\pi\) | |||||||
\(752\) | 5.49186e6 | + | 1.69022e7i | 0.354140 | + | 1.08993i | ||||
\(753\) | −8.01205e6 | + | 5.82110e6i | −0.514940 | + | 0.374126i | ||||
\(754\) | −2.14897e7 | + | 1.56132e7i | −1.37658 | + | 1.00015i | ||||
\(755\) | 1.42746e7 | − | 3.80659e6i | 0.911375 | − | 0.243035i | ||||
\(756\) | 1.18596e7 | + | 8.61648e6i | 0.754682 | + | 0.548309i | ||||
\(757\) | −1.12329e6 | −0.0712447 | −0.0356223 | − | 0.999365i | \(-0.511341\pi\) | ||||
−0.0356223 | + | 0.999365i | \(0.511341\pi\) | |||||||
\(758\) | −7.72301e6 | − | 5.61109e6i | −0.488218 | − | 0.354711i | ||||
\(759\) | 2.23442e6 | − | 6.87683e6i | 0.140786 | − | 0.433295i | ||||
\(760\) | −1.41766e6 | − | 2.18873e6i | −0.0890305 | − | 0.137454i | ||||
\(761\) | −2.78008e6 | − | 8.55619e6i | −0.174018 | − | 0.535573i | 0.825569 | − | 0.564301i | \(-0.190854\pi\) |
−0.999587 | + | 0.0287279i | \(0.990854\pi\) | |||||||
\(762\) | 1.31591e7 | − | 4.04995e7i | 0.820992 | − | 2.52675i | ||||
\(763\) | −3.92693e6 | + | 1.20859e7i | −0.244198 | + | 0.751564i | ||||
\(764\) | 738522. | + | 2.27294e6i | 0.0457752 | + | 0.140882i | ||||
\(765\) | 1.53769e7 | − | 1.89425e7i | 0.949982 | − | 1.17027i | ||||
\(766\) | −5.92691e6 | + | 1.82412e7i | −0.364970 | + | 1.12326i | ||||
\(767\) | −4.00108e6 | − | 2.90695e6i | −0.245577 | − | 0.178422i | ||||
\(768\) | 3.18449e7 | 1.94821 | ||||||||
\(769\) | 2.21808e7 | + | 1.61153e7i | 1.35258 | + | 0.982703i | 0.998879 | + | 0.0473430i | \(0.0150754\pi\) |
0.353696 | + | 0.935360i | \(0.384925\pi\) | |||||||
\(770\) | 1.21686e7 | − | 1.49904e7i | 0.739632 | − | 0.911140i | ||||
\(771\) | 2.32436e7 | − | 1.68875e7i | 1.40821 | − | 1.02312i | ||||
\(772\) | −1.76158e7 | + | 1.27986e7i | −1.06380 | + | 0.772896i | ||||
\(773\) | −712057. | − | 2.19149e6i | −0.0428614 | − | 0.131914i | 0.927336 | − | 0.374230i | \(-0.122093\pi\) |
−0.970197 | + | 0.242316i | \(0.922093\pi\) | |||||||
\(774\) | 2.28052e7 | 1.36830 | ||||||||
\(775\) | 1.40585e7 | + | 1.51160e6i | 0.840786 | + | 0.0904030i | ||||
\(776\) | −3.57604e6 | −0.213181 | ||||||||
\(777\) | −5.20478e6 | − | 1.60187e7i | −0.309279 | − | 0.951862i | ||||
\(778\) | −1.20410e7 | + | 8.74827e6i | −0.713202 | + | 0.518171i | ||||
\(779\) | 1.35214e7 | − | 9.82387e6i | 0.798322 | − | 0.580015i | ||||
\(780\) | 2.28986e7 | + | 8.82137e6i | 1.34763 | + | 0.519158i | ||||
\(781\) | 6.38696e6 | + | 4.64040e6i | 0.374685 | + | 0.272225i | ||||
\(782\) | −1.31152e7 | −0.766935 | ||||||||
\(783\) | 1.09146e7 | + | 7.92995e6i | 0.636216 | + | 0.462238i | ||||
\(784\) | −9.71520e6 | + | 2.99003e7i | −0.564497 | + | 1.73734i | ||||
\(785\) | −1.34405e7 | + | 3.58417e6i | −0.778471 | + | 0.207594i | ||||
\(786\) | −6.35931e6 | − | 1.95719e7i | −0.367158 | − | 1.13000i | ||||
\(787\) | −6.65209e6 | + | 2.04730e7i | −0.382844 | + | 1.17827i | 0.555189 | + | 0.831724i | \(0.312646\pi\) |
−0.938033 | + | 0.346547i | \(0.887354\pi\) | |||||||
\(788\) | 2.30194e6 | − | 7.08463e6i | 0.132062 | − | 0.406445i | ||||
\(789\) | 1.10150e7 | + | 3.39007e7i | 0.629929 | + | 1.93872i | ||||
\(790\) | 1.21262e7 | + | 4.67147e6i | 0.691287 | + | 0.266309i | ||||
\(791\) | 5.42358e6 | − | 1.66921e7i | 0.308209 | − | 0.948569i | ||||
\(792\) | 2.50094e6 | + | 1.81704e6i | 0.141674 | + | 0.102932i | ||||
\(793\) | −9.26855e6 | −0.523394 | ||||||||
\(794\) | 9.47916e6 | + | 6.88701e6i | 0.533604 | + | 0.387686i | ||||
\(795\) | 1.00420e6 | − | 1.87328e7i | 0.0563512 | − | 1.05120i | ||||
\(796\) | 3.21602e6 | − | 2.33657e6i | 0.179902 | − | 0.130706i | ||||
\(797\) | 8.48131e6 | − | 6.16203e6i | 0.472952 | − | 0.343620i | −0.325639 | − | 0.945494i | \(-0.605579\pi\) |
0.798591 | + | 0.601875i | \(0.205579\pi\) | |||||||
\(798\) | −1.37701e7 | − | 4.23799e7i | −0.765471 | − | 2.35588i | ||||
\(799\) | 1.89558e7 | 1.05045 | ||||||||
\(800\) | −2.06638e7 | + | 1.18645e7i | −1.14153 | + | 0.655427i | ||||
\(801\) | −2.11945e7 | −1.16719 | ||||||||
\(802\) | 6.27175e6 | + | 1.93025e7i | 0.344313 | + | 1.05969i | ||||
\(803\) | 1.05152e7 | − | 7.63977e6i | 0.575480 | − | 0.418111i | ||||
\(804\) | −2.37553e7 | + | 1.72592e7i | −1.29604 | + | 0.941632i | ||||
\(805\) | −8.75118e6 | − | 1.35110e7i | −0.475967 | − | 0.734847i | ||||
\(806\) | −1.89412e7 | − | 1.37616e7i | −1.02700 | − | 0.746159i | ||||
\(807\) | −2.23909e7 | −1.21029 | ||||||||
\(808\) | −5.04888e6 | − | 3.66823e6i | −0.272061 | − | 0.197664i | ||||
\(809\) | 6.55779e6 | − | 2.01828e7i | 0.352279 | − | 1.08420i | −0.605292 | − | 0.796004i | \(-0.706944\pi\) |
0.957571 | − | 0.288199i | \(-0.0930564\pi\) | |||||||
\(810\) | −486153. | + | 9.06891e6i | −0.0260351 | + | 0.485671i | ||||
\(811\) | −2.76514e6 | − | 8.51021e6i | −0.147626 | − | 0.454348i | 0.849713 | − | 0.527246i | \(-0.176775\pi\) |
−0.997339 | + | 0.0728980i | \(0.976775\pi\) | |||||||
\(812\) | 8.84828e6 | − | 2.72322e7i | 0.470943 | − | 1.44941i | ||||
\(813\) | −2.09932e6 | + | 6.46103e6i | −0.111391 | + | 0.342827i | ||||
\(814\) | 1.68562e6 | + | 5.18781e6i | 0.0891660 | + | 0.274425i | ||||
\(815\) | 361055. | − | 6.73528e6i | 0.0190405 | − | 0.355191i | ||||
\(816\) | 1.09255e7 | − | 3.36253e7i | 0.574404 | − | 1.76783i | ||||
\(817\) | −7.83555e6 | − | 5.69286e6i | −0.410690 | − | 0.298384i | ||||
\(818\) | 4.49875e6 | 0.235076 | ||||||||
\(819\) | −4.01155e7 | − | 2.91456e7i | −2.08979 | − | 1.51832i | ||||
\(820\) | −1.18668e7 | − | 1.83211e7i | −0.616307 | − | 0.951518i | ||||
\(821\) | −1.92455e7 | + | 1.39827e7i | −0.996487 | + | 0.723990i | −0.961332 | − | 0.275392i | \(-0.911192\pi\) |
−0.0351546 | + | 0.999382i | \(0.511192\pi\) | |||||||
\(822\) | −6.24366e7 | + | 4.53629e7i | −3.22300 | + | 2.34164i | ||||
\(823\) | 5.60292e6 | + | 1.72440e7i | 0.288346 | + | 0.887439i | 0.985376 | + | 0.170396i | \(0.0545048\pi\) |
−0.697029 | + | 0.717043i | \(0.745495\pi\) | |||||||
\(824\) | −4.69739e6 | −0.241012 | ||||||||
\(825\) | −1.63214e7 | − | 1.75491e6i | −0.834878 | − | 0.0897678i | ||||
\(826\) | 1.17294e7 | 0.598171 | ||||||||
\(827\) | 2.28687e6 | + | 7.03825e6i | 0.116273 | + | 0.357850i | 0.992210 | − | 0.124574i | \(-0.0397564\pi\) |
−0.875938 | + | 0.482424i | \(0.839756\pi\) | |||||||
\(828\) | −1.04176e7 | + | 7.56879e6i | −0.528068 | + | 0.383664i | ||||
\(829\) | −1.05684e7 | + | 7.67842e6i | −0.534102 | + | 0.388048i | −0.821890 | − | 0.569646i | \(-0.807080\pi\) |
0.287788 | + | 0.957694i | \(0.407080\pi\) | |||||||
\(830\) | −585341. | + | 1.09192e7i | −0.0294927 | + | 0.550169i | ||||
\(831\) | 4.06745e7 | + | 2.95517e7i | 2.04324 | + | 1.48450i | ||||
\(832\) | 1.42406e7 | 0.713216 | ||||||||
\(833\) | 2.71290e7 | + | 1.97103e7i | 1.35463 | + | 0.984196i | ||||
\(834\) | 1.82036e7 | − | 5.60250e7i | 0.906240 | − | 2.78912i | ||||
\(835\) | −3.08511e6 | − | 1.18850e6i | −0.153128 | − | 0.0589905i | ||||
\(836\) | 2.02694e6 | + | 6.23827e6i | 0.100305 | + | 0.308708i | ||||
\(837\) | −3.67461e6 | + | 1.13093e7i | −0.181300 | + | 0.557984i | ||||
\(838\) | 4.32550e6 | − | 1.33125e7i | 0.212778 | − | 0.654863i | ||||
\(839\) | 4.92151e6 | + | 1.51469e7i | 0.241376 | + | 0.742878i | 0.996211 | + | 0.0869644i | \(0.0277166\pi\) |
−0.754836 | + | 0.655914i | \(0.772283\pi\) | |||||||
\(840\) | 1.12554e7 | − | 3.00146e6i | 0.550381 | − | 0.146769i | ||||
\(841\) | 1.80499e6 | − | 5.55518e6i | 0.0880002 | − | 0.270837i | ||||
\(842\) | −4.00319e6 | − | 2.90849e6i | −0.194593 | − | 0.141380i | ||||
\(843\) | −2.25608e7 | −1.09342 | ||||||||
\(844\) | 5.25534e6 | + | 3.81822e6i | 0.253948 | + | 0.184504i | ||||
\(845\) | −4.44057e6 | − | 1.71067e6i | −0.213942 | − | 0.0824184i | ||||
\(846\) | 3.31273e7 | − | 2.40684e7i | 1.59133 | − | 1.15617i | ||||
\(847\) | −1.93928e7 | + | 1.40897e7i | −0.928822 | + | 0.674829i | ||||
\(848\) | −4.96312e6 | − | 1.52749e7i | −0.237009 | − | 0.729440i | ||||
\(849\) | −4.65133e7 | −2.21466 | ||||||||
\(850\) | 6.12086e6 | + | 2.91388e7i | 0.290580 | + | 1.38332i | ||||
\(851\) | 4.54785e6 | 0.215269 | ||||||||
\(852\) | −7.35363e6 | − | 2.26321e7i | −0.347059 | − | 1.06814i | ||||
\(853\) | 1.09139e7 | − | 7.92943e6i | 0.513581 | − | 0.373138i | −0.300600 | − | 0.953750i | \(-0.597187\pi\) |
0.814180 | + | 0.580612i | \(0.197187\pi\) | |||||||
\(854\) | 1.77839e7 | − | 1.29207e7i | 0.834414 | − | 0.606237i | ||||
\(855\) | −1.41069e7 | + | 1.73781e7i | −0.659959 | + | 0.812993i | ||||
\(856\) | 5.44054e6 | + | 3.95279e6i | 0.253780 | + | 0.184382i | ||||
\(857\) | 1.56839e7 | 0.729460 | 0.364730 | − | 0.931113i | \(-0.381161\pi\) | ||||
0.364730 | + | 0.931113i | \(0.381161\pi\) | |||||||
\(858\) | 2.19901e7 | + | 1.59767e7i | 1.01978 | + | 0.740916i | ||||
\(859\) | −4.40152e6 | + | 1.35465e7i | −0.203526 | + | 0.626389i | 0.796245 | + | 0.604975i | \(0.206817\pi\) |
−0.999771 | + | 0.0214139i | \(0.993183\pi\) | |||||||
\(860\) | −7.97230e6 | + | 9.82094e6i | −0.367568 | + | 0.452801i | ||||
\(861\) | 2.30707e7 | + | 7.10043e7i | 1.06060 | + | 3.26420i | ||||
\(862\) | −6.53685e6 | + | 2.01183e7i | −0.299640 | + | 0.922198i | ||||
\(863\) | 1.21214e7 | − | 3.73060e7i | 0.554023 | − | 1.70511i | −0.144488 | − | 0.989506i | \(-0.546154\pi\) |
0.698511 | − | 0.715599i | \(-0.253846\pi\) | |||||||
\(864\) | −6.19239e6 | − | 1.90582e7i | −0.282211 | − | 0.868556i | ||||
\(865\) | 750499. | + | 1.15870e6i | 0.0341044 | + | 0.0526538i | ||||
\(866\) | −1.30720e7 | + | 4.02316e7i | −0.592310 | + | 1.82294i | ||||
\(867\) | −2.51636e6 | − | 1.82824e6i | −0.113691 | − | 0.0826010i | ||||
\(868\) | 2.52379e7 | 1.13698 | ||||||||
\(869\) | 5.29287e6 | + | 3.84549e6i | 0.237761 | + | 0.172744i | ||||
\(870\) | −5.17531e7 | + | 1.38009e7i | −2.31813 | + | 0.618172i | ||||
\(871\) | 2.46997e7 | − | 1.79454e7i | 1.10318 | − | 0.801508i | ||||
\(872\) | 2.00879e6 | − | 1.45947e6i | 0.0894631 | − | 0.0649988i | ||||
\(873\) | 9.48508e6 | + | 2.91921e7i | 0.421216 | + | 1.29637i | ||||
\(874\) | 1.20320e7 | 0.532796 | ||||||||
\(875\) | −2.59339e7 | + | 2.57485e7i | −1.14511 | + | 1.13693i | ||||
\(876\) | −3.91782e7 | −1.72498 | ||||||||
\(877\) | −1.06235e7 | − | 3.26958e7i | −0.466412 | − | 1.43547i | −0.857199 | − | 0.514986i | \(-0.827797\pi\) |
0.390787 | − | 0.920481i | \(-0.372203\pi\) | |||||||
\(878\) | 3.66477e7 | − | 2.66261e7i | 1.60439 | − | 1.16566i | ||||
\(879\) | 3.45708e7 | − | 2.51172e7i | 1.50917 | − | 1.09648i | ||||
\(880\) | −1.35795e7 | + | 3.62122e6i | −0.591121 | + | 0.157633i | ||||
\(881\) | −1.73705e7 | − | 1.26204e7i | −0.754002 | − | 0.547815i | 0.143063 | − | 0.989714i | \(-0.454305\pi\) |
−0.897065 | + | 0.441899i | \(0.854305\pi\) | |||||||
\(882\) | 7.24371e7 | 3.13538 | ||||||||
\(883\) | −1.21398e7 | − | 8.82007e6i | −0.523973 | − | 0.380689i | 0.294125 | − | 0.955767i | \(-0.404972\pi\) |
−0.818099 | + | 0.575078i | \(0.804972\pi\) | |||||||
\(884\) | 6.92455e6 | − | 2.13116e7i | 0.298031 | − | 0.917244i | ||||
\(885\) | −5.42135e6 | − | 8.37004e6i | −0.232675 | − | 0.359227i | ||||
\(886\) | 1.47402e7 | + | 4.53655e7i | 0.630838 | + | 1.94152i | ||||
\(887\) | −500049. | + | 1.53899e6i | −0.0213404 | + | 0.0656791i | −0.961160 | − | 0.275993i | \(-0.910993\pi\) |
0.939819 | + | 0.341672i | \(0.110993\pi\) | |||||||
\(888\) | −1.01697e6 | + | 3.12992e6i | −0.0432789 | + | 0.133199i | ||||
\(889\) | −1.47490e7 | − | 4.53926e7i | −0.625903 | − | 1.92633i | ||||
\(890\) | 1.63014e7 | − | 2.00814e7i | 0.689843 | − | 0.849806i | ||||
\(891\) | −1.41293e6 | + | 4.34854e6i | −0.0596245 | + | 0.183505i | ||||
\(892\) | 2.17297e7 | + | 1.57876e7i | 0.914412 | + | 0.664359i | ||||
\(893\) | −1.73903e7 | −0.729757 | ||||||||
\(894\) | 6.91923e6 | + | 5.02711e6i | 0.289544 | + | 0.210366i | ||||
\(895\) | 911610. | − | 1.12300e6i | 0.0380410 | − | 0.0468620i | ||||
\(896\) | 1.39708e7 | − | 1.01504e7i | 0.581370 | − | 0.422390i | ||||
\(897\) | 1.83339e7 | − | 1.33204e7i | 0.760805 | − | 0.552758i | ||||
\(898\) | 4.24403e6 | + | 1.30618e7i | 0.175626 | + | 0.540520i | ||||
\(899\) | 2.32271e7 | 0.958506 | ||||||||
\(900\) | 2.16779e7 | + | 1.96129e7i | 0.892093 | + | 0.807114i | ||||
\(901\) | −1.71308e7 | −0.703018 | ||||||||
\(902\) | −7.47168e6 | − | 2.29955e7i | −0.305775 | − | 0.941078i | ||||
\(903\) | 3.50013e7 | − | 2.54299e7i | 1.42845 | − | 1.03783i | ||||
\(904\) | −2.77439e6 | + | 2.01571e6i | −0.112914 | + | 0.0820367i | ||||
\(905\) | 3.27872e7 | + | 1.26308e7i | 1.33071 | + | 0.512637i | ||||
\(906\) | −3.99057e7 | − | 2.89932e7i | −1.61516 | − | 1.17348i | ||||
\(907\) | 3.96345e6 | 0.159976 | 0.0799881 | − | 0.996796i | \(-0.474512\pi\) | ||||
0.0799881 | + | 0.996796i | \(0.474512\pi\) | |||||||
\(908\) | −1.11473e7 | − | 8.09901e6i | −0.448700 | − | 0.326000i | ||||
\(909\) | −1.65530e7 | + | 5.09448e7i | −0.664456 | + | 2.04498i | ||||
\(910\) | 5.84693e7 | − | 1.55919e7i | 2.34058 | − | 0.624160i | ||||
\(911\) | −3.61757e6 | − | 1.11337e7i | −0.144418 | − | 0.444473i | 0.852518 | − | 0.522698i | \(-0.175075\pi\) |
−0.996936 | + | 0.0782255i | \(0.975075\pi\) | |||||||
\(912\) | −1.00232e7 | + | 3.08482e7i | −0.399042 | + | 1.22813i | ||||
\(913\) | −1.70120e6 | + | 5.23576e6i | −0.0675428 | + | 0.207875i | ||||
\(914\) | −1.29802e7 | − | 3.99491e7i | −0.513946 | − | 1.58176i | ||||
\(915\) | −1.74399e7 | − | 6.71849e6i | −0.688639 | − | 0.265289i | ||||
\(916\) | 7.55282e6 | − | 2.32452e7i | 0.297420 | − | 0.915365i | ||||
\(917\) | −1.86604e7 | − | 1.35576e7i | −0.732819 | − | 0.532425i | ||||
\(918\) | −2.50404e7 | −0.980695 | ||||||||
\(919\) | −3.83159e7 | − | 2.78381e7i | −1.49655 | − | 1.08730i | −0.971732 | − | 0.236086i | \(-0.924135\pi\) |
−0.524813 | − | 0.851217i | \(-0.675865\pi\) | |||||||
\(920\) | −168368. | + | 3.14081e6i | −0.00655828 | + | 0.122341i | ||||
\(921\) | −1.16434e7 | + | 8.45941e6i | −0.452304 | + | 0.328618i | ||||
\(922\) | 4.04593e7 | − | 2.93954e7i | 1.56744 | − | 1.13881i | ||||
\(923\) | 7.64599e6 | + | 2.35319e7i | 0.295413 | + | 0.909187i | ||||
\(924\) | −2.93003e7 | −1.12900 | ||||||||
\(925\) | −2.12248e6 | − | 1.01042e7i | −0.0815622 | − | 0.388282i | ||||
\(926\) | 964558. | 0.0369659 | ||||||||
\(927\) | 1.24593e7 | + | 3.83458e7i | 0.476206 | + | 1.46561i | ||||
\(928\) | −3.16664e7 | + | 2.30070e7i | −1.20706 | + | 0.876980i | ||||
\(929\) | −2.55971e7 | + | 1.85974e7i | −0.973088 | + | 0.706990i | −0.956153 | − | 0.292867i | \(-0.905391\pi\) |
−0.0169348 | + | 0.999857i | \(0.505391\pi\) | |||||||
\(930\) | −2.56649e7 | − | 3.96241e7i | −0.973042 | − | 1.50228i | ||||
\(931\) | −2.48884e7 | − | 1.80825e7i | −0.941071 | − | 0.683728i | ||||
\(932\) | 3.32377e6 | 0.125341 | ||||||||
\(933\) | 4.77675e7 | + | 3.47051e7i | 1.79650 | + | 1.30524i | ||||
\(934\) | 1.40564e7 | − | 4.32612e7i | 0.527239 | − | 1.62268i | ||||
\(935\) | −802419. | + | 1.49687e7i | −0.0300173 | + | 0.559957i | ||||
\(936\) | 2.99394e6 | + | 9.21440e6i | 0.111700 | + | 0.343777i | ||||
\(937\) | −1.47975e7 | + | 4.55420e7i | −0.550603 | + | 1.69458i | 0.156677 | + | 0.987650i | \(0.449922\pi\) |
−0.707281 | + | 0.706933i | \(0.750078\pi\) | |||||||
\(938\) | −2.23755e7 | + | 6.88648e7i | −0.830360 | + | 2.55558i | ||||
\(939\) | 1.10843e7 | + | 3.41141e7i | 0.410247 | + | 1.26261i | ||||
\(940\) | −1.21580e6 | + | 2.26800e7i | −0.0448788 | + | 0.837189i | ||||
\(941\) | 8.96886e6 | − | 2.76033e7i | 0.330190 | − | 1.01622i | −0.638854 | − | 0.769328i | \(-0.720591\pi\) |
0.969043 | − | 0.246891i | \(-0.0794089\pi\) | |||||||
\(942\) | 3.75740e7 | + | 2.72991e7i | 1.37962 | + | 1.00235i | ||||
\(943\) | −2.01588e7 | −0.738218 | ||||||||
\(944\) | −6.90723e6 | − | 5.01839e6i | −0.252275 | − | 0.183288i | ||||
\(945\) | −1.67083e7 | − | 2.57959e7i | −0.608628 | − | 0.939663i | ||||
\(946\) | −1.13355e7 | + | 8.23574e6i | −0.411826 | + | 0.299209i | ||||
\(947\) | 4.86163e6 | − | 3.53218e6i | 0.176160 | − | 0.127988i | −0.496211 | − | 0.868202i | \(-0.665276\pi\) |
0.672371 | + | 0.740214i | \(0.265276\pi\) | |||||||
\(948\) | −6.09394e6 | − | 1.87552e7i | −0.220231 | − | 0.677800i | ||||
\(949\) | 4.07358e7 | 1.46829 | ||||||||
\(950\) | −5.61534e6 | − | 2.67322e7i | −0.201868 | − | 0.961005i | ||||
\(951\) | −3.54049e7 | −1.26944 | ||||||||
\(952\) | −3.28711e6 | − | 1.01167e7i | −0.117550 | − | 0.361781i | ||||
\(953\) | 1.17554e7 | − | 8.54080e6i | 0.419281 | − | 0.304626i | −0.358067 | − | 0.933696i | \(-0.616564\pi\) |
0.777349 | + | 0.629070i | \(0.216564\pi\) | |||||||
\(954\) | −2.99379e7 | + | 2.17512e7i | −1.06500 | + | 0.773770i | ||||
\(955\) | 268218. | − | 5.00346e6i | 0.00951655 | − | 0.177526i | ||||
\(956\) | 1.59599e7 | + | 1.15956e7i | 0.564789 | + | 0.410343i | ||||
\(957\) | −2.69657e7 | −0.951771 | ||||||||
\(958\) | −2.19021e7 | − | 1.59128e7i | −0.771030 | − | 0.560186i | ||||
\(959\) | −2.67300e7 | + | 8.22666e7i | −0.938540 | + | 2.88853i | ||||
\(960\) | 2.67955e7 | + | 1.03226e7i | 0.938391 | + | 0.361502i | ||||
\(961\) | −2.52054e6 | − | 7.75741e6i | −0.0880409 | − | 0.270962i | ||||
\(962\) | −5.28293e6 | + | 1.62592e7i | −0.184051 | + | 0.566450i | ||||
\(963\) | 1.78370e7 | − | 5.48967e7i | 0.619807 | − | 1.90757i | ||||
\(964\) | −6.84155e6 | − | 2.10561e7i | −0.237117 | − | 0.729770i | ||||
\(965\) | 4.41103e7 | − | 1.17628e7i | 1.52483 | − | 0.406624i | ||||
\(966\) | −1.66087e7 | + | 5.11163e7i | −0.572655 | + | 1.76245i | ||||
\(967\) | 3.44333e7 | + | 2.50173e7i | 1.18417 | + | 0.860347i | 0.992635 | − | 0.121140i | \(-0.0386548\pi\) |
0.191531 | + | 0.981487i | \(0.438655\pi\) | |||||||
\(968\) | 4.68371e6 | 0.160658 | ||||||||
\(969\) | 2.79890e7 | + | 2.03352e7i | 0.957586 | + | 0.695727i | ||||
\(970\) | −3.49544e7 | − | 1.34657e7i | −1.19281 | − | 0.459514i | ||||
\(971\) | −1.23976e7 | + | 9.00740e6i | −0.421978 | + | 0.306585i | −0.778433 | − | 0.627727i | \(-0.783985\pi\) |
0.356455 | + | 0.934313i | \(0.383985\pi\) | |||||||
\(972\) | 2.49260e7 | − | 1.81098e7i | 0.846226 | − | 0.614819i | ||||
\(973\) | −2.04030e7 | − | 6.27939e7i | −0.690894 | − | 2.12635i | ||||
\(974\) | 6.18018e7 | 2.08739 | ||||||||
\(975\) | −3.81509e7 | − | 3.45168e7i | −1.28527 | − | 1.16284i | ||||
\(976\) | −1.60007e7 | −0.537668 | ||||||||
\(977\) | −1.33022e7 | − | 4.09401e7i | −0.445850 | − | 1.37218i | −0.881549 | − | 0.472092i | \(-0.843499\pi\) |
0.435700 | − | 0.900092i | \(-0.356501\pi\) | |||||||
\(978\) | −1.82193e7 | + | 1.32371e7i | −0.609094 | + | 0.442533i | ||||
\(979\) | 1.05349e7 | − | 7.65404e6i | 0.351296 | − | 0.255231i | ||||
\(980\) | −2.53227e7 | + | 3.11947e7i | −0.842259 | + | 1.03756i | ||||
\(981\) | −1.72421e7 | − | 1.25271e7i | −0.572029 | − | 0.415604i | ||||
\(982\) | −4.78655e7 | −1.58396 | ||||||||
\(983\) | −2.82092e7 | − | 2.04952e7i | −0.931123 | − | 0.676501i | 0.0151442 | − | 0.999885i | \(-0.495179\pi\) |
−0.946268 | + | 0.323385i | \(0.895179\pi\) | |||||||
\(984\) | 4.50782e6 | − | 1.38737e7i | 0.148415 | − | 0.456776i | ||||
\(985\) | −9.84318e6 | + | 1.21256e7i | −0.323255 | + | 0.398212i | ||||
\(986\) | 1.51143e7 | + | 4.65171e7i | 0.495104 | + | 1.52377i | ||||
\(987\) | 2.40051e7 | − | 7.38801e7i | 0.784351 | − | 2.41398i | ||||
\(988\) | −6.35265e6 | + | 1.95514e7i | −0.207044 | + | 0.637216i | ||||
\(989\) | 3.60989e6 | + | 1.11101e7i | 0.117356 | + | 0.361183i | ||||
\(990\) | 1.76036e7 | + | 2.71782e7i | 0.570837 | + | 0.881317i | ||||
\(991\) | −1.06817e7 | + | 3.28750e7i | −0.345508 | + | 1.06336i | 0.615804 | + | 0.787900i | \(0.288831\pi\) |
−0.961311 | + | 0.275464i | \(0.911169\pi\) | |||||||
\(992\) | −2.79110e7 | − | 2.02785e7i | −0.900527 | − | 0.654271i | ||||
\(993\) | 3.81555e7 | 1.22796 | ||||||||
\(994\) | −4.74750e7 | − | 3.44926e7i | −1.52405 | − | 1.10729i | ||||
\(995\) | −8.05296e6 | + | 2.14747e6i | −0.257868 | + | 0.0687653i | ||||
\(996\) | 1.34250e7 | − | 9.75383e6i | 0.428811 | − | 0.311549i | ||||
\(997\) | 2.91087e7 | − | 2.11487e7i | 0.927438 | − | 0.673823i | −0.0179259 | − | 0.999839i | \(-0.505706\pi\) |
0.945364 | + | 0.326016i | \(0.105706\pi\) | |||||||
\(998\) | 1.37219e7 | + | 4.22316e7i | 0.436101 | + | 1.34218i | ||||
\(999\) | 8.68302e6 | 0.275269 |
(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 | 25.6.d.a.6.9 | ✓ | 44 | |
25.11 | even | 5 | 625.6.a.d.1.19 | 22 | |||
25.14 | even | 10 | 625.6.a.c.1.4 | 22 | |||
25.21 | even | 5 | inner | 25.6.d.a.21.9 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.6.d.a.6.9 | ✓ | 44 | 1.1 | even | 1 | trivial | |
25.6.d.a.21.9 | yes | 44 | 25.21 | even | 5 | inner | |
625.6.a.c.1.4 | 22 | 25.14 | even | 10 | |||
625.6.a.d.1.19 | 22 | 25.11 | even | 5 |