Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [20,6,Mod(3,20)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(20, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("20.3");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 20 = 2^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 20.e (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.20767639626\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.2 | ||
Character | \(\chi\) | \(=\) | 20.3 |
Dual form | 20.6.e.b.7.2 |
$q$-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 \(\left(\mathbb{Z}/20\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.11607 | + | 2.41367i | −0.904402 | + | 0.426681i | ||||
\(3\) | −16.4802 | + | 16.4802i | −1.05720 | + | 1.05720i | −0.0589430 | + | 0.998261i | \(0.518773\pi\) |
−0.998261 | + | 0.0589430i | \(0.981227\pi\) | |||||||
\(4\) | 20.3484 | − | 24.6970i | 0.635887 | − | 0.771782i | ||||
\(5\) | 21.8249 | − | 51.4653i | 0.390416 | − | 0.920639i | ||||
\(6\) | 44.5361 | − | 124.092i | 0.505049 | − | 1.40723i | ||||
\(7\) | −78.4623 | − | 78.4623i | −0.605224 | − | 0.605224i | 0.336470 | − | 0.941694i | \(-0.390767\pi\) |
−0.941694 | + | 0.336470i | \(0.890767\pi\) | |||||||
\(8\) | −44.4934 | + | 175.466i | −0.245793 | + | 0.969322i | ||||
\(9\) | − | 300.193i | − | 1.23536i | ||||||
\(10\) | 12.5624 | + | 315.978i | 0.0397257 | + | 0.999211i | ||||
\(11\) | − | 208.153i | − | 0.518683i | −0.965786 | − | 0.259341i | \(-0.916495\pi\) | ||
0.965786 | − | 0.259341i | \(-0.0835054\pi\) | |||||||
\(12\) | 71.6663 | + | 742.357i | 0.143669 | + | 1.48819i | ||||
\(13\) | −401.203 | − | 401.203i | −0.658425 | − | 0.658425i | 0.296582 | − | 0.955007i | \(-0.404153\pi\) |
−0.955007 | + | 0.296582i | \(0.904153\pi\) | |||||||
\(14\) | 590.801 | + | 212.037i | 0.805603 | + | 0.289129i | ||||
\(15\) | 488.478 | + | 1207.84i | 0.560554 | + | 1.38605i | ||||
\(16\) | −195.886 | − | 1005.09i | −0.191295 | − | 0.981533i | ||||
\(17\) | −515.793 | + | 515.793i | −0.432865 | + | 0.432865i | −0.889602 | − | 0.456737i | \(-0.849018\pi\) |
0.456737 | + | 0.889602i | \(0.349018\pi\) | |||||||
\(18\) | 724.567 | + | 1535.81i | 0.527105 | + | 1.11726i | ||||
\(19\) | −2467.80 | −1.56829 | −0.784145 | − | 0.620578i | \(-0.786898\pi\) | ||||
−0.784145 | + | 0.620578i | \(0.786898\pi\) | |||||||
\(20\) | −826.937 | − | 1586.25i | −0.462272 | − | 0.886738i | ||||
\(21\) | 2586.15 | 1.27969 | ||||||||
\(22\) | 502.414 | + | 1064.93i | 0.221312 | + | 0.469098i | ||||
\(23\) | 2925.63 | − | 2925.63i | 1.15319 | − | 1.15319i | 0.167276 | − | 0.985910i | \(-0.446503\pi\) |
0.985910 | − | 0.167276i | \(-0.0534970\pi\) | |||||||
\(24\) | −2158.45 | − | 3624.97i | −0.764918 | − | 1.28463i | ||||
\(25\) | −2172.35 | − | 2246.45i | −0.695151 | − | 0.718864i | ||||
\(26\) | 3020.96 | + | 1084.21i | 0.876418 | + | 0.314544i | ||||
\(27\) | 942.550 | + | 942.550i | 0.248826 | + | 0.248826i | ||||
\(28\) | −3534.37 | + | 341.204i | −0.851955 | + | 0.0822467i | ||||
\(29\) | 6391.35i | 1.41123i | 0.708596 | + | 0.705614i | \(0.249329\pi\) | ||||
−0.708596 | + | 0.705614i | \(0.750671\pi\) | |||||||
\(30\) | −5414.41 | − | 5000.35i | −1.09837 | − | 1.01437i | ||||
\(31\) | − | 556.567i | − | 0.104019i | −0.998647 | − | 0.0520095i | \(-0.983437\pi\) | ||
0.998647 | − | 0.0520095i | \(-0.0165626\pi\) | |||||||
\(32\) | 3428.12 | + | 4669.31i | 0.591808 | + | 0.806079i | ||||
\(33\) | 3430.41 | + | 3430.41i | 0.548353 | + | 0.548353i | ||||
\(34\) | 1393.88 | − | 3883.79i | 0.206789 | − | 0.576180i | ||||
\(35\) | −5750.52 | + | 2325.65i | −0.793481 | + | 0.320903i | ||||
\(36\) | −7413.87 | − | 6108.44i | −0.953430 | − | 0.785551i | ||||
\(37\) | −1963.77 | + | 1963.77i | −0.235823 | + | 0.235823i | −0.815118 | − | 0.579295i | \(-0.803328\pi\) |
0.579295 | + | 0.815118i | \(0.303328\pi\) | |||||||
\(38\) | 12625.5 | − | 5956.46i | 1.41836 | − | 0.669159i | ||||
\(39\) | 13223.8 | 1.39218 | ||||||||
\(40\) | 8059.34 | + | 6119.39i | 0.796434 | + | 0.604726i | ||||
\(41\) | 6139.41 | 0.570383 | 0.285192 | − | 0.958471i | \(-0.407943\pi\) | ||||
0.285192 | + | 0.958471i | \(0.407943\pi\) | |||||||
\(42\) | −13230.9 | + | 6242.11i | −1.15736 | + | 0.546019i | ||||
\(43\) | −7375.44 | + | 7375.44i | −0.608298 | + | 0.608298i | −0.942501 | − | 0.334203i | \(-0.891533\pi\) |
0.334203 | + | 0.942501i | \(0.391533\pi\) | |||||||
\(44\) | −5140.77 | − | 4235.59i | −0.400310 | − | 0.329824i | ||||
\(45\) | −15449.5 | − | 6551.68i | −1.13732 | − | 0.482305i | ||||
\(46\) | −7906.22 | + | 22029.2i | −0.550902 | + | 1.53499i | ||||
\(47\) | −825.227 | − | 825.227i | −0.0544915 | − | 0.0544915i | 0.679336 | − | 0.733827i | \(-0.262268\pi\) |
−0.733827 | + | 0.679336i | \(0.762268\pi\) | |||||||
\(48\) | 19792.3 | + | 13335.8i | 1.23992 | + | 0.835443i | ||||
\(49\) | − | 4494.33i | − | 0.267408i | ||||||
\(50\) | 16536.1 | + | 6249.67i | 0.935421 | + | 0.353535i | ||||
\(51\) | − | 17000.7i | − | 0.915254i | ||||||
\(52\) | −18072.4 | + | 1744.69i | −0.926844 | + | 0.0894765i | ||||
\(53\) | −14452.0 | − | 14452.0i | −0.706703 | − | 0.706703i | 0.259137 | − | 0.965840i | \(-0.416562\pi\) |
−0.965840 | + | 0.259137i | \(0.916562\pi\) | |||||||
\(54\) | −7097.16 | − | 2547.15i | −0.331208 | − | 0.118869i | ||||
\(55\) | −10712.7 | − | 4542.93i | −0.477519 | − | 0.202502i | ||||
\(56\) | 17258.5 | − | 10276.4i | 0.735417 | − | 0.437897i | ||||
\(57\) | 40669.8 | − | 40669.8i | 1.65800 | − | 1.65800i | ||||
\(58\) | −15426.6 | − | 32698.6i | −0.602144 | − | 1.27632i | ||||
\(59\) | −771.460 | −0.0288525 | −0.0144262 | − | 0.999896i | \(-0.504592\pi\) | ||||
−0.0144262 | + | 0.999896i | \(0.504592\pi\) | |||||||
\(60\) | 39769.7 | + | 12513.5i | 1.42618 | + | 0.448748i | ||||
\(61\) | 10971.4 | 0.377519 | 0.188759 | − | 0.982023i | \(-0.439553\pi\) | ||||
0.188759 | + | 0.982023i | \(0.439553\pi\) | |||||||
\(62\) | 1343.37 | + | 2847.44i | 0.0443829 | + | 0.0940751i | ||||
\(63\) | −23553.8 | + | 23553.8i | −0.747671 | + | 0.747671i | ||||
\(64\) | −28808.7 | − | 15614.2i | −0.879171 | − | 0.476506i | ||||
\(65\) | −29404.3 | + | 11891.8i | −0.863231 | + | 0.349112i | ||||
\(66\) | −25830.1 | − | 9270.33i | −0.729904 | − | 0.261960i | ||||
\(67\) | 3350.38 | + | 3350.38i | 0.0911817 | + | 0.0911817i | 0.751226 | − | 0.660045i | \(-0.229463\pi\) |
−0.660045 | + | 0.751226i | \(0.729463\pi\) | |||||||
\(68\) | 2242.99 | + | 23234.1i | 0.0588241 | + | 0.609331i | ||||
\(69\) | 96429.7i | 2.43831i | ||||||||
\(70\) | 23806.7 | − | 25778.1i | 0.580703 | − | 0.628789i | ||||
\(71\) | 10288.1i | 0.242209i | 0.992640 | + | 0.121105i | \(0.0386436\pi\) | ||||
−0.992640 | + | 0.121105i | \(0.961356\pi\) | |||||||
\(72\) | 52673.7 | + | 13356.6i | 1.19746 | + | 0.303644i | ||||
\(73\) | −23632.3 | − | 23632.3i | −0.519037 | − | 0.519037i | 0.398243 | − | 0.917280i | \(-0.369620\pi\) |
−0.917280 | + | 0.398243i | \(0.869620\pi\) | |||||||
\(74\) | 5306.88 | − | 14786.6i | 0.112658 | − | 0.313899i | ||||
\(75\) | 72822.6 | + | 1221.23i | 1.49490 | + | 0.0250694i | ||||
\(76\) | −50215.8 | + | 60947.4i | −0.997255 | + | 1.21038i | ||||
\(77\) | −16332.2 | + | 16332.2i | −0.313919 | + | 0.313919i | ||||
\(78\) | −67654.0 | + | 31917.9i | −1.25909 | + | 0.594016i | ||||
\(79\) | 33412.2 | 0.602333 | 0.301167 | − | 0.953572i | \(-0.402624\pi\) | ||||
0.301167 | + | 0.953572i | \(0.402624\pi\) | |||||||
\(80\) | −56002.4 | − | 11854.7i | −0.978321 | − | 0.207092i | ||||
\(81\) | 41880.1 | 0.709243 | ||||||||
\(82\) | −31409.6 | + | 14818.5i | −0.515856 | + | 0.243371i | ||||
\(83\) | 43857.5 | − | 43857.5i | 0.698794 | − | 0.698794i | −0.265357 | − | 0.964150i | \(-0.585490\pi\) |
0.964150 | + | 0.265357i | \(0.0854897\pi\) | |||||||
\(84\) | 52623.9 | − | 63870.1i | 0.813739 | − | 0.987642i | ||||
\(85\) | 15288.3 | + | 37802.5i | 0.229515 | + | 0.567510i | ||||
\(86\) | 19931.4 | − | 55535.2i | 0.290597 | − | 0.809696i | ||||
\(87\) | −105331. | − | 105331.i | −1.49196 | − | 1.49196i | ||||
\(88\) | 36523.8 | + | 9261.44i | 0.502771 | + | 0.127489i | ||||
\(89\) | 10661.0i | 0.142667i | 0.997453 | + | 0.0713336i | \(0.0227255\pi\) | ||||
−0.997453 | + | 0.0713336i | \(0.977275\pi\) | |||||||
\(90\) | 94854.4 | − | 3771.13i | 1.23439 | − | 0.0490756i | ||||
\(91\) | 62958.7i | 0.796989i | ||||||||
\(92\) | −12722.5 | − | 131786.i | −0.156712 | − | 1.62330i | ||||
\(93\) | 9172.32 | + | 9172.32i | 0.109969 | + | 0.109969i | ||||
\(94\) | 6213.75 | + | 2230.09i | 0.0725327 | + | 0.0260318i | ||||
\(95\) | −53859.6 | + | 127006.i | −0.612285 | + | 1.44383i | ||||
\(96\) | −133447. | − | 20455.0i | −1.47785 | − | 0.226527i | ||||
\(97\) | 68421.1 | − | 68421.1i | 0.738348 | − | 0.738348i | −0.233911 | − | 0.972258i | \(-0.575152\pi\) |
0.972258 | + | 0.233911i | \(0.0751523\pi\) | |||||||
\(98\) | 10847.8 | + | 22993.3i | 0.114098 | + | 0.241844i | ||||
\(99\) | −62486.2 | −0.640761 | ||||||||
\(100\) | −99684.4 | + | 7938.86i | −0.996844 | + | 0.0793886i | ||||
\(101\) | −121679. | −1.18689 | −0.593445 | − | 0.804874i | \(-0.702233\pi\) | ||||
−0.593445 | + | 0.804874i | \(0.702233\pi\) | |||||||
\(102\) | 41034.1 | + | 86976.9i | 0.390521 | + | 0.827758i | ||||
\(103\) | 36175.4 | − | 36175.4i | 0.335985 | − | 0.335985i | −0.518869 | − | 0.854854i | \(-0.673647\pi\) |
0.854854 | + | 0.518869i | \(0.173647\pi\) | |||||||
\(104\) | 88248.5 | − | 52546.7i | 0.800062 | − | 0.476389i | ||||
\(105\) | 56442.4 | − | 133097.i | 0.499612 | − | 1.17813i | ||||
\(106\) | 108820. | + | 39055.0i | 0.940680 | + | 0.337607i | ||||
\(107\) | 79388.5 | + | 79388.5i | 0.670345 | + | 0.670345i | 0.957795 | − | 0.287451i | \(-0.0928077\pi\) |
−0.287451 | + | 0.957795i | \(0.592808\pi\) | |||||||
\(108\) | 42457.6 | − | 4098.80i | 0.350264 | − | 0.0338141i | ||||
\(109\) | − | 81481.2i | − | 0.656887i | −0.944524 | − | 0.328444i | \(-0.893476\pi\) | ||
0.944524 | − | 0.328444i | \(-0.106524\pi\) | |||||||
\(110\) | 65771.9 | − | 2614.90i | 0.518273 | − | 0.0206050i | ||||
\(111\) | − | 64726.4i | − | 0.498625i | ||||||
\(112\) | −63492.0 | + | 94231.3i | −0.478271 | + | 0.709823i | ||||
\(113\) | −32022.7 | − | 32022.7i | −0.235918 | − | 0.235918i | 0.579239 | − | 0.815157i | \(-0.303350\pi\) |
−0.815157 | + | 0.579239i | \(0.803350\pi\) | |||||||
\(114\) | −109906. | + | 306233.i | −0.792064 | + | 2.20694i | ||||
\(115\) | −86716.6 | − | 214420.i | −0.611445 | − | 1.51189i | ||||
\(116\) | 157847. | + | 130054.i | 1.08916 | + | 0.897382i | ||||
\(117\) | −120438. | + | 120438.i | −0.813393 | + | 0.813393i | ||||
\(118\) | 3946.84 | − | 1862.05i | 0.0260943 | − | 0.0123108i | ||||
\(119\) | 80940.6 | 0.523961 | ||||||||
\(120\) | −233668. | + | 31970.7i | −1.48131 | + | 0.202675i | ||||
\(121\) | 117723. | 0.730968 | ||||||||
\(122\) | −56130.6 | + | 26481.4i | −0.341429 | + | 0.161080i | ||||
\(123\) | −101179. | + | 101179.i | −0.603012 | + | 0.603012i | ||||
\(124\) | −13745.5 | − | 11325.2i | −0.0802800 | − | 0.0661444i | ||||
\(125\) | −163025. | + | 62771.8i | −0.933212 | + | 0.359327i | ||||
\(126\) | 63651.9 | − | 177354.i | 0.357178 | − | 0.995212i | ||||
\(127\) | 186866. | + | 186866.i | 1.02807 | + | 1.02807i | 0.999595 | + | 0.0284710i | \(0.00906382\pi\) |
0.0284710 | + | 0.999595i | \(0.490936\pi\) | |||||||
\(128\) | 185075. | + | 10348.5i | 0.998440 | + | 0.0558280i | ||||
\(129\) | − | 243097.i | − | 1.28619i | ||||||
\(130\) | 121731. | − | 131812.i | 0.631749 | − | 0.684061i | ||||
\(131\) | − | 4183.83i | − | 0.0213008i | −0.999943 | − | 0.0106504i | \(-0.996610\pi\) | ||
0.999943 | − | 0.0106504i | \(-0.00339019\pi\) | |||||||
\(132\) | 154524. | − | 14917.6i | 0.771900 | − | 0.0745184i | ||||
\(133\) | 193629. | + | 193629.i | 0.949166 | + | 0.949166i | ||||
\(134\) | −25227.5 | − | 9054.09i | −0.121370 | − | 0.0435595i | ||||
\(135\) | 69079.7 | − | 27937.5i | 0.326224 | − | 0.131933i | ||||
\(136\) | −67554.7 | − | 113453.i | −0.313190 | − | 0.525981i | ||||
\(137\) | −115488. | + | 115488.i | −0.525698 | + | 0.525698i | −0.919287 | − | 0.393589i | \(-0.871233\pi\) |
0.393589 | + | 0.919287i | \(0.371233\pi\) | |||||||
\(138\) | −232750. | − | 493341.i | −1.04038 | − | 2.20521i | ||||
\(139\) | −313543. | −1.37645 | −0.688224 | − | 0.725498i | \(-0.741609\pi\) | ||||
−0.688224 | + | 0.725498i | \(0.741609\pi\) | |||||||
\(140\) | −59577.1 | + | 189344.i | −0.256897 | + | 0.816453i | ||||
\(141\) | 27199.8 | 0.115217 | ||||||||
\(142\) | −24832.2 | − | 52634.8i | −0.103346 | − | 0.219055i | ||||
\(143\) | −83511.8 | + | 83511.8i | −0.341514 | + | 0.341514i | ||||
\(144\) | −301721. | + | 58803.6i | −1.21255 | + | 0.236318i | ||||
\(145\) | 328932. | + | 139491.i | 1.29923 | + | 0.550966i | ||||
\(146\) | 177945. | + | 63863.8i | 0.690881 | + | 0.247955i | ||||
\(147\) | 74067.3 | + | 74067.3i | 0.282705 | + | 0.282705i | ||||
\(148\) | 8539.69 | + | 88458.6i | 0.0320470 | + | 0.331960i | ||||
\(149\) | − | 164850.i | − | 0.608307i | −0.952623 | − | 0.304153i | \(-0.901627\pi\) | ||
0.952623 | − | 0.304153i | \(-0.0983735\pi\) | |||||||
\(150\) | −375513. | + | 169522.i | −1.36269 | + | 0.615173i | ||||
\(151\) | − | 401404.i | − | 1.43265i | −0.697769 | − | 0.716323i | \(-0.745824\pi\) | ||
0.697769 | − | 0.716323i | \(-0.254176\pi\) | |||||||
\(152\) | 109801. | − | 433016.i | 0.385475 | − | 1.52018i | ||||
\(153\) | 154837. | + | 154837.i | 0.534745 | + | 0.534745i | ||||
\(154\) | 44136.2 | − | 122977.i | 0.149966 | − | 0.417852i | ||||
\(155\) | −28643.9 | − | 12147.0i | −0.0957640 | − | 0.0406107i | ||||
\(156\) | 269083. | − | 326589.i | 0.885269 | − | 1.07446i | ||||
\(157\) | −254436. | + | 254436.i | −0.823814 | + | 0.823814i | −0.986653 | − | 0.162838i | \(-0.947935\pi\) |
0.162838 | + | 0.986653i | \(0.447935\pi\) | |||||||
\(158\) | −170939. | + | 80646.0i | −0.544752 | + | 0.257004i | ||||
\(159\) | 476342. | 1.49426 | ||||||||
\(160\) | 315125. | − | 74522.0i | 0.973159 | − | 0.230136i | ||||
\(161\) | −459103. | −1.39587 | ||||||||
\(162\) | −214262. | + | 101085.i | −0.641441 | + | 0.302620i | ||||
\(163\) | 351837. | − | 351837.i | 1.03722 | − | 1.03722i | 0.0379433 | − | 0.999280i | \(-0.487919\pi\) |
0.999280 | − | 0.0379433i | \(-0.0120806\pi\) | |||||||
\(164\) | 124927. | − | 151625.i | 0.362699 | − | 0.440211i | ||||
\(165\) | 251415. | − | 101678.i | 0.718921 | − | 0.290749i | ||||
\(166\) | −118521. | + | 330236.i | −0.333829 | + | 0.930152i | ||||
\(167\) | −234023. | − | 234023.i | −0.649334 | − | 0.649334i | 0.303498 | − | 0.952832i | \(-0.401845\pi\) |
−0.952832 | + | 0.303498i | \(0.901845\pi\) | |||||||
\(168\) | −115066. | + | 453781.i | −0.314540 | + | 1.24043i | ||||
\(169\) | − | 49364.7i | − | 0.132953i | ||||||
\(170\) | −169459. | − | 156500.i | −0.449719 | − | 0.415328i | ||||
\(171\) | 740817.i | 1.93741i | ||||||||
\(172\) | 32073.1 | + | 332230.i | 0.0826646 | + | 0.856283i | ||||
\(173\) | −13019.0 | − | 13019.0i | −0.0330721 | − | 0.0330721i | 0.690377 | − | 0.723449i | \(-0.257445\pi\) |
−0.723449 | + | 0.690377i | \(0.757445\pi\) | |||||||
\(174\) | 793112. | + | 284646.i | 1.98592 | + | 0.712740i | ||||
\(175\) | −5814.28 | + | 346709.i | −0.0143516 | + | 0.855796i | ||||
\(176\) | −209213. | + | 40774.3i | −0.509104 | + | 0.0992213i | ||||
\(177\) | 12713.8 | − | 12713.8i | 0.0305030 | − | 0.0305030i | ||||
\(178\) | −25732.2 | − | 54542.6i | −0.0608733 | − | 0.129029i | ||||
\(179\) | −598989. | −1.39729 | −0.698645 | − | 0.715469i | \(-0.746213\pi\) | ||||
−0.698645 | + | 0.715469i | \(0.746213\pi\) | |||||||
\(180\) | −476180. | + | 248241.i | −1.09544 | + | 0.571073i | ||||
\(181\) | −18538.3 | −0.0420604 | −0.0210302 | − | 0.999779i | \(-0.506695\pi\) | ||||
−0.0210302 | + | 0.999779i | \(0.506695\pi\) | |||||||
\(182\) | −151962. | − | 322101.i | −0.340060 | − | 0.720799i | ||||
\(183\) | −180811. | + | 180811.i | −0.399114 | + | 0.399114i | ||||
\(184\) | 383177. | + | 643519.i | 0.834363 | + | 1.40125i | ||||
\(185\) | 58206.7 | + | 143925.i | 0.125038 | + | 0.309176i | ||||
\(186\) | −69065.2 | − | 24787.3i | −0.146378 | − | 0.0525348i | ||||
\(187\) | 107364. | + | 107364.i | 0.224520 | + | 0.224520i | ||||
\(188\) | −37172.7 | + | 3588.61i | −0.0767060 | + | 0.00740511i | ||||
\(189\) | − | 147909.i | − | 0.301190i | ||||||
\(190\) | −31001.4 | − | 779772.i | −0.0623014 | − | 1.56705i | ||||
\(191\) | 230250.i | 0.456685i | 0.973581 | + | 0.228343i | \(0.0733306\pi\) | ||||
−0.973581 | + | 0.228343i | \(0.926669\pi\) | |||||||
\(192\) | 732096. | − | 217448.i | 1.43323 | − | 0.425699i | ||||
\(193\) | −621500. | − | 621500.i | −1.20101 | − | 1.20101i | −0.973858 | − | 0.227156i | \(-0.927057\pi\) |
−0.227156 | − | 0.973858i | \(-0.572943\pi\) | |||||||
\(194\) | −184901. | + | 515193.i | −0.352725 | + | 0.982802i | ||||
\(195\) | 288608. | − | 680567.i | 0.543529 | − | 1.28169i | ||||
\(196\) | −110997. | − | 91452.3i | −0.206381 | − | 0.170041i | ||||
\(197\) | 722564. | − | 722564.i | 1.32651 | − | 1.32651i | 0.418119 | − | 0.908392i | \(-0.362689\pi\) |
0.908392 | − | 0.418119i | \(-0.137311\pi\) | |||||||
\(198\) | 319684. | − | 150821.i | 0.579506 | − | 0.273400i | ||||
\(199\) | −362735. | −0.649318 | −0.324659 | − | 0.945831i | \(-0.605250\pi\) | ||||
−0.324659 | + | 0.945831i | \(0.605250\pi\) | |||||||
\(200\) | 490831. | − | 281221.i | 0.867674 | − | 0.497133i | ||||
\(201\) | −110430. | −0.192795 | ||||||||
\(202\) | 622516. | − | 293692.i | 1.07343 | − | 0.506423i | ||||
\(203\) | 501480. | − | 501480.i | 0.854109 | − | 0.854109i | ||||
\(204\) | −419867. | − | 345937.i | −0.706377 | − | 0.581998i | ||||
\(205\) | 133992. | − | 315966.i | 0.222687 | − | 0.525117i | ||||
\(206\) | −97760.5 | + | 272392.i | −0.160508 | + | 0.447225i | ||||
\(207\) | −878252. | − | 878252.i | −1.42460 | − | 1.42460i | ||||
\(208\) | −324655. | + | 481835.i | −0.520312 | + | 0.772219i | ||||
\(209\) | 513681.i | 0.813445i | ||||||||
\(210\) | 32488.1 | + | 817166.i | 0.0508366 | + | 1.27868i | ||||
\(211\) | 205008.i | 0.317004i | 0.987359 | + | 0.158502i | \(0.0506665\pi\) | ||||
−0.987359 | + | 0.158502i | \(0.949334\pi\) | |||||||
\(212\) | −650994. | + | 62846.2i | −0.994804 | + | 0.0960372i | ||||
\(213\) | −169550. | − | 169550.i | −0.256065 | − | 0.256065i | ||||
\(214\) | −597775. | − | 214540.i | −0.892285 | − | 0.320238i | ||||
\(215\) | 218611. | + | 540547.i | 0.322534 | + | 0.797512i | ||||
\(216\) | −207323. | + | 123448.i | −0.302352 | + | 0.180033i | ||||
\(217\) | −43669.5 | + | 43669.5i | −0.0629548 | + | 0.0629548i | ||||
\(218\) | 196669. | + | 416864.i | 0.280281 | + | 0.594091i | ||||
\(219\) | 778928. | 1.09746 | ||||||||
\(220\) | −330182. | + | 172130.i | −0.459936 | + | 0.239772i | ||||
\(221\) | 413875. | 0.570019 | ||||||||
\(222\) | 156228. | + | 331145.i | 0.212754 | + | 0.450958i | ||||
\(223\) | −627532. | + | 627532.i | −0.845032 | + | 0.845032i | −0.989508 | − | 0.144476i | \(-0.953850\pi\) |
0.144476 | + | 0.989508i | \(0.453850\pi\) | |||||||
\(224\) | 97386.3 | − | 635343.i | 0.129681 | − | 0.846035i | ||||
\(225\) | −674368. | + | 652123.i | −0.888057 | + | 0.858763i | ||||
\(226\) | 241122. | + | 86538.1i | 0.314027 | + | 0.112703i | ||||
\(227\) | 469202. | + | 469202.i | 0.604359 | + | 0.604359i | 0.941466 | − | 0.337107i | \(-0.109448\pi\) |
−0.337107 | + | 0.941466i | \(0.609448\pi\) | |||||||
\(228\) | −176858. | − | 1.83199e6i | −0.225314 | − | 2.33392i | ||||
\(229\) | 245254.i | 0.309049i | 0.987989 | + | 0.154524i | \(0.0493845\pi\) | ||||
−0.987989 | + | 0.154524i | \(0.950615\pi\) | |||||||
\(230\) | 961187. | + | 887681.i | 1.19809 | + | 1.10646i | ||||
\(231\) | − | 538315.i | − | 0.663753i | ||||||
\(232\) | −1.12146e6 | − | 284373.i | −1.36794 | − | 0.346871i | ||||
\(233\) | 1.14921e6 | + | 1.14921e6i | 1.38679 | + | 1.38679i | 0.831981 | + | 0.554805i | \(0.187207\pi\) |
0.554805 | + | 0.831981i | \(0.312793\pi\) | |||||||
\(234\) | 325473. | − | 906870.i | 0.388575 | − | 1.08269i | ||||
\(235\) | −60481.0 | + | 24460.0i | −0.0714413 | + | 0.0288926i | ||||
\(236\) | −15698.0 | + | 19052.8i | −0.0183469 | + | 0.0222678i | ||||
\(237\) | −550639. | + | 550639.i | −0.636789 | + | 0.636789i | ||||
\(238\) | −414098. | + | 195364.i | −0.473871 | + | 0.223564i | ||||
\(239\) | 822705. | 0.931643 | 0.465821 | − | 0.884879i | \(-0.345759\pi\) | ||||
0.465821 | + | 0.884879i | \(0.345759\pi\) | |||||||
\(240\) | 1.11830e6 | − | 727563.i | 1.25322 | − | 0.815347i | ||||
\(241\) | −337052. | −0.373813 | −0.186907 | − | 0.982378i | \(-0.559846\pi\) | ||||
−0.186907 | + | 0.982378i | \(0.559846\pi\) | |||||||
\(242\) | −602280. | + | 284145.i | −0.661090 | + | 0.311890i | ||||
\(243\) | −919231. | + | 919231.i | −0.998640 | + | 0.998640i | ||||
\(244\) | 223251. | − | 270961.i | 0.240059 | − | 0.291362i | ||||
\(245\) | −231302. | − | 98088.3i | −0.246186 | − | 0.104400i | ||||
\(246\) | 273425. | − | 761848.i | 0.288072 | − | 0.802658i | ||||
\(247\) | 990091. | + | 990091.i | 1.03260 | + | 1.03260i | ||||
\(248\) | 97658.6 | + | 24763.5i | 0.100828 | + | 0.0255672i | ||||
\(249\) | 1.44556e6i | 1.47754i | ||||||||
\(250\) | 682539. | − | 714635.i | 0.690681 | − | 0.723160i | ||||
\(251\) | − | 1.86915e6i | − | 1.87266i | −0.351116 | − | 0.936332i | \(-0.614198\pi\) | ||
0.351116 | − | 0.936332i | \(-0.385802\pi\) | |||||||
\(252\) | 102427. | + | 1.06099e6i | 0.101604 | + | 1.05247i | ||||
\(253\) | −608979. | − | 608979.i | −0.598137 | − | 0.598137i | ||||
\(254\) | −1.40705e6 | − | 504987.i | −1.36844 | − | 0.491129i | ||||
\(255\) | −874946. | − | 371039.i | −0.842618 | − | 0.357330i | ||||
\(256\) | −971833. | + | 393766.i | −0.926813 | + | 0.375524i | ||||
\(257\) | 863359. | − | 863359.i | 0.815377 | − | 0.815377i | −0.170057 | − | 0.985434i | \(-0.554395\pi\) |
0.985434 | + | 0.170057i | \(0.0543953\pi\) | |||||||
\(258\) | 586756. | + | 1.24370e6i | 0.548793 | + | 1.16323i | ||||
\(259\) | 308163. | 0.285451 | ||||||||
\(260\) | −304637. | + | 968177.i | −0.279479 | + | 0.888222i | ||||
\(261\) | 1.91864e6 | 1.74338 | ||||||||
\(262\) | 10098.4 | + | 21404.8i | 0.00908864 | + | 0.0192645i | ||||
\(263\) | 582443. | − | 582443.i | 0.519235 | − | 0.519235i | −0.398105 | − | 0.917340i | \(-0.630332\pi\) |
0.917340 | + | 0.398105i | \(0.130332\pi\) | |||||||
\(264\) | −754550. | + | 449289.i | −0.666313 | + | 0.396750i | ||||
\(265\) | −1.05919e6 | + | 428361.i | −0.926526 | + | 0.374710i | ||||
\(266\) | −1.45798e6 | − | 523265.i | −1.26342 | − | 0.453437i | ||||
\(267\) | −175696. | − | 175696.i | −0.150828 | − | 0.150828i | ||||
\(268\) | 150919. | − | 14569.6i | 0.128354 | − | 0.0123911i | ||||
\(269\) | − | 1.43348e6i | − | 1.20784i | −0.797044 | − | 0.603921i | \(-0.793604\pi\) | ||
0.797044 | − | 0.603921i | \(-0.206396\pi\) | |||||||
\(270\) | −285985. | + | 309666.i | −0.238744 | + | 0.258514i | ||||
\(271\) | − | 339680.i | − | 0.280961i | −0.990083 | − | 0.140481i | \(-0.955135\pi\) | ||
0.990083 | − | 0.140481i | \(-0.0448648\pi\) | |||||||
\(272\) | 619454. | + | 417381.i | 0.507676 | + | 0.342066i | ||||
\(273\) | −1.03757e6 | − | 1.03757e6i | −0.842580 | − | 0.842580i | ||||
\(274\) | 312096. | − | 869597.i | 0.251137 | − | 0.699748i | ||||
\(275\) | −467606. | + | 452181.i | −0.372862 | + | 0.360563i | ||||
\(276\) | 2.38153e6 | + | 1.96219e6i | 1.88184 | + | 1.55049i | ||||
\(277\) | 72217.7 | − | 72217.7i | 0.0565515 | − | 0.0565515i | −0.678265 | − | 0.734817i | \(-0.737268\pi\) |
0.734817 | + | 0.678265i | \(0.237268\pi\) | |||||||
\(278\) | 1.60411e6 | − | 756789.i | 1.24486 | − | 0.587304i | ||||
\(279\) | −167077. | −0.128501 | ||||||||
\(280\) | −152213. | − | 1.11250e6i | −0.116026 | − | 0.848015i | ||||
\(281\) | 16374.4 | 0.0123709 | 0.00618544 | − | 0.999981i | \(-0.498031\pi\) | ||||
0.00618544 | + | 0.999981i | \(0.498031\pi\) | |||||||
\(282\) | −139156. | + | 65651.3i | −0.104203 | + | 0.0491610i | ||||
\(283\) | −513091. | + | 513091.i | −0.380828 | + | 0.380828i | −0.871400 | − | 0.490573i | \(-0.836788\pi\) |
0.490573 | + | 0.871400i | \(0.336788\pi\) | |||||||
\(284\) | 254086. | + | 209347.i | 0.186933 | + | 0.154018i | ||||
\(285\) | −1.20547e6 | − | 2.98070e6i | −0.879111 | − | 2.17373i | ||||
\(286\) | 225683. | − | 628823.i | 0.163148 | − | 0.454583i | ||||
\(287\) | −481712. | − | 481712.i | −0.345210 | − | 0.345210i | ||||
\(288\) | 1.40169e6 | − | 1.02910e6i | 0.995799 | − | 0.731098i | ||||
\(289\) | 887773.i | 0.625255i | ||||||||
\(290\) | −2.01953e6 | + | 80290.4i | −1.41011 | + | 0.0560620i | ||||
\(291\) | 2.25519e6i | 1.56117i | ||||||||
\(292\) | −1.06452e6 | + | 102768.i | −0.730632 | + | 0.0705343i | ||||
\(293\) | 1.39773e6 | + | 1.39773e6i | 0.951161 | + | 0.951161i | 0.998862 | − | 0.0477009i | \(-0.0151894\pi\) |
−0.0477009 | + | 0.998862i | \(0.515189\pi\) | |||||||
\(294\) | −557708. | − | 200160.i | −0.376304 | − | 0.135054i | ||||
\(295\) | −16837.0 | + | 39703.4i | −0.0112645 | + | 0.0265627i | ||||
\(296\) | −257200. | − | 431949.i | −0.170624 | − | 0.286552i | ||||
\(297\) | 196195. | − | 196195.i | 0.129062 | − | 0.129062i | ||||
\(298\) | 397893. | + | 843383.i | 0.259553 | + | 0.550154i | ||||
\(299\) | −2.34754e6 | −1.51857 | ||||||||
\(300\) | 1.51198e6 | − | 1.77365e6i | 0.969938 | − | 1.13780i | ||||
\(301\) | 1.15739e6 | 0.736314 | ||||||||
\(302\) | 968856. | + | 2.05361e6i | 0.611282 | + | 1.29569i | ||||
\(303\) | 2.00529e6 | − | 2.00529e6i | 1.25479 | − | 1.25479i | ||||
\(304\) | 483408. | + | 2.48036e6i | 0.300006 | + | 1.53933i | ||||
\(305\) | 239450. | − | 564647.i | 0.147389 | − | 0.347558i | ||||
\(306\) | −1.16588e6 | − | 418433.i | −0.711790 | − | 0.255459i | ||||
\(307\) | −1.13123e6 | − | 1.13123e6i | −0.685024 | − | 0.685024i | 0.276104 | − | 0.961128i | \(-0.410957\pi\) |
−0.961128 | + | 0.276104i | \(0.910957\pi\) | |||||||
\(308\) | 71022.7 | + | 735690.i | 0.0426600 | + | 0.441894i | ||||
\(309\) | 1.19236e6i | 0.710411i | ||||||||
\(310\) | 175863. | − | 6991.79i | 0.103937 | − | 0.00413223i | ||||
\(311\) | 2.02590e6i | 1.18773i | 0.804566 | + | 0.593864i | \(0.202398\pi\) | ||||
−0.804566 | + | 0.593864i | \(0.797602\pi\) | |||||||
\(312\) | −588372. | + | 2.32033e6i | −0.342189 | + | 1.34947i | ||||
\(313\) | −1.34475e6 | − | 1.34475e6i | −0.775855 | − | 0.775855i | 0.203268 | − | 0.979123i | \(-0.434844\pi\) |
−0.979123 | + | 0.203268i | \(0.934844\pi\) | |||||||
\(314\) | 687588. | − | 1.91584e6i | 0.393554 | − | 1.09657i | ||||
\(315\) | 698144. | + | 1.72626e6i | 0.396432 | + | 0.980237i | ||||
\(316\) | 679884. | − | 825181.i | 0.383016 | − | 0.464870i | ||||
\(317\) | −187111. | + | 187111.i | −0.104581 | + | 0.104581i | −0.757461 | − | 0.652880i | \(-0.773560\pi\) |
0.652880 | + | 0.757461i | \(0.273560\pi\) | |||||||
\(318\) | −2.43700e6 | + | 1.14973e6i | −1.35141 | + | 0.637571i | ||||
\(319\) | 1.33038e6 | 0.731980 | ||||||||
\(320\) | −1.43233e6 | + | 1.14187e6i | −0.781932 | + | 0.623363i | ||||
\(321\) | −2.61667e6 | −1.41738 | ||||||||
\(322\) | 2.34880e6 | − | 1.10812e6i | 1.26243 | − | 0.595591i | ||||
\(323\) | 1.27287e6 | − | 1.27287e6i | 0.678858 | − | 0.678858i | ||||
\(324\) | 852192. | − | 1.03431e6i | 0.450998 | − | 0.547381i | ||||
\(325\) | −29730.3 | + | 1.77284e6i | −0.0156132 | + | 0.931022i | ||||
\(326\) | −950804. | + | 2.64924e6i | −0.495504 | + | 1.38063i | ||||
\(327\) | 1.34282e6 | + | 1.34282e6i | 0.694464 | + | 0.694464i | ||||
\(328\) | −273163. | + | 1.07726e6i | −0.140196 | + | 0.552885i | ||||
\(329\) | 129498.i | 0.0659591i | ||||||||
\(330\) | −1.04084e6 | + | 1.12703e6i | −0.526137 | + | 0.569704i | ||||
\(331\) | − | 3.52504e6i | − | 1.76845i | −0.467057 | − | 0.884227i | \(-0.654686\pi\) | ||
0.467057 | − | 0.884227i | \(-0.345314\pi\) | |||||||
\(332\) | −190720. | − | 1.97558e6i | −0.0949624 | − | 0.983670i | ||||
\(333\) | 589509. | + | 589509.i | 0.291326 | + | 0.291326i | ||||
\(334\) | 1.76214e6 | + | 632425.i | 0.864317 | + | 0.310201i | ||||
\(335\) | 245550. | − | 99306.6i | 0.119544 | − | 0.0483466i | ||||
\(336\) | −506590. | − | 2.59931e6i | −0.244798 | − | 1.25606i | ||||
\(337\) | −856784. | + | 856784.i | −0.410957 | + | 0.410957i | −0.882072 | − | 0.471115i | \(-0.843852\pi\) |
0.471115 | + | 0.882072i | \(0.343852\pi\) | |||||||
\(338\) | 119150. | + | 252553.i | 0.0567287 | + | 0.120243i | ||||
\(339\) | 1.05548e6 | 0.498827 | ||||||||
\(340\) | 1.24470e6 | + | 391646.i | 0.583940 | + | 0.183737i | ||||
\(341\) | −115851. | −0.0539529 | ||||||||
\(342\) | −1.78809e6 | − | 3.79007e6i | −0.826653 | − | 1.75219i | ||||
\(343\) | −1.67135e6 | + | 1.67135e6i | −0.767066 | + | 0.767066i | ||||
\(344\) | −965981. | − | 1.62230e6i | −0.440121 | − | 0.739153i | ||||
\(345\) | 4.96278e6 | + | 2.10457e6i | 2.24480 | + | 0.951953i | ||||
\(346\) | 98029.4 | + | 35182.5i | 0.0440216 | + | 0.0157992i | ||||
\(347\) | −1.06737e6 | − | 1.06737e6i | −0.475871 | − | 0.475871i | 0.427937 | − | 0.903808i | \(-0.359240\pi\) |
−0.903808 | + | 0.427937i | \(0.859240\pi\) | |||||||
\(348\) | −4.74466e6 | + | 458044.i | −2.10018 | + | 0.202749i | ||||
\(349\) | − | 1.38944e6i | − | 0.610625i | −0.952252 | − | 0.305313i | \(-0.901239\pi\) | ||
0.952252 | − | 0.305313i | \(-0.0987610\pi\) | |||||||
\(350\) | −807095. | − | 1.78782e6i | −0.352172 | − | 0.780107i | ||||
\(351\) | − | 756309.i | − | 0.327666i | ||||||
\(352\) | 971932. | − | 713575.i | 0.418099 | − | 0.306961i | ||||
\(353\) | −180470. | − | 180470.i | −0.0770848 | − | 0.0770848i | 0.667513 | − | 0.744598i | \(-0.267359\pi\) |
−0.744598 | + | 0.667513i | \(0.767359\pi\) | |||||||
\(354\) | −34357.8 | + | 95731.6i | −0.0145719 | + | 0.0406020i | ||||
\(355\) | 529481. | + | 224538.i | 0.222987 | + | 0.0945623i | ||||
\(356\) | 263296. | + | 216935.i | 0.110108 | + | 0.0907203i | ||||
\(357\) | −1.33392e6 | + | 1.33392e6i | −0.553934 | + | 0.553934i | ||||
\(358\) | 3.06447e6 | − | 1.44576e6i | 1.26371 | − | 0.596196i | ||||
\(359\) | −2.91768e6 | −1.19482 | −0.597409 | − | 0.801937i | \(-0.703803\pi\) | ||||
−0.597409 | + | 0.801937i | \(0.703803\pi\) | |||||||
\(360\) | 1.83700e6 | − | 2.41936e6i | 0.747055 | − | 0.983884i | ||||
\(361\) | 3.61395e6 | 1.45953 | ||||||||
\(362\) | 94843.2 | − | 44745.3i | 0.0380395 | − | 0.0179464i | ||||
\(363\) | −1.94010e6 | + | 1.94010e6i | −0.772783 | + | 0.772783i | ||||
\(364\) | 1.55489e6 | + | 1.28111e6i | 0.615102 | + | 0.506795i | ||||
\(365\) | −1.73201e6 | + | 700468.i | −0.680485 | + | 0.275205i | ||||
\(366\) | 488624. | − | 1.36146e6i | 0.190666 | − | 0.531254i | ||||
\(367\) | −565943. | − | 565943.i | −0.219335 | − | 0.219335i | 0.588883 | − | 0.808218i | \(-0.299568\pi\) |
−0.808218 | + | 0.588883i | \(0.799568\pi\) | |||||||
\(368\) | −3.51361e6 | − | 2.36743e6i | −1.35249 | − | 0.911291i | ||||
\(369\) | − | 1.84301e6i | − | 0.704630i | ||||||
\(370\) | −645176. | − | 595837.i | −0.245005 | − | 0.226268i | ||||
\(371\) | 2.26787e6i | 0.855427i | ||||||||
\(372\) | 413171. | − | 39887.1i | 0.154801 | − | 0.0149443i | ||||
\(373\) | 1.12747e6 | + | 1.12747e6i | 0.419597 | + | 0.419597i | 0.885065 | − | 0.465468i | \(-0.154114\pi\) |
−0.465468 | + | 0.885065i | \(0.654114\pi\) | |||||||
\(374\) | −808423. | − | 290141.i | −0.298854 | − | 0.107258i | ||||
\(375\) | 1.65220e6 | − | 3.72118e6i | 0.606713 | − | 1.36648i | ||||
\(376\) | 181516. | − | 108082.i | 0.0662135 | − | 0.0394262i | ||||
\(377\) | 2.56423e6 | − | 2.56423e6i | 0.929188 | − | 0.929188i | ||||
\(378\) | 357005. | + | 756715.i | 0.128512 | + | 0.272397i | ||||
\(379\) | 4.54355e6 | 1.62479 | 0.812395 | − | 0.583107i | \(-0.198163\pi\) | ||||
0.812395 | + | 0.583107i | \(0.198163\pi\) | |||||||
\(380\) | 2.04072e6 | + | 3.91454e6i | 0.724976 | + | 1.39066i | ||||
\(381\) | −6.15917e6 | −2.17375 | ||||||||
\(382\) | −555748. | − | 1.17798e6i | −0.194859 | − | 0.413027i | ||||
\(383\) | 43026.1 | − | 43026.1i | 0.0149877 | − | 0.0149877i | −0.699573 | − | 0.714561i | \(-0.746627\pi\) |
0.714561 | + | 0.699573i | \(0.246627\pi\) | |||||||
\(384\) | −3.22061e6 | + | 2.87952e6i | −1.11458 | + | 0.996534i | ||||
\(385\) | 484092. | + | 1.19699e6i | 0.166447 | + | 0.411565i | ||||
\(386\) | 4.67974e6 | + | 1.67954e6i | 1.59865 | + | 0.573750i | ||||
\(387\) | 2.21405e6 | + | 2.21405e6i | 0.751469 | + | 0.751469i | ||||
\(388\) | −297538. | − | 3.08206e6i | −0.100338 | − | 1.03935i | ||||
\(389\) | − | 610934.i | − | 0.204701i | −0.994748 | − | 0.102351i | \(-0.967364\pi\) | ||
0.994748 | − | 0.102351i | \(-0.0326364\pi\) | |||||||
\(390\) | 166122. | + | 4.17844e6i | 0.0553053 | + | 1.39108i | ||||
\(391\) | 3.01803e6i | 0.998348i | ||||||||
\(392\) | 788602. | + | 199968.i | 0.259205 | + | 0.0657272i | ||||
\(393\) | 68950.3 | + | 68950.3i | 0.0225193 | + | 0.0225193i | ||||
\(394\) | −1.95266e6 | + | 5.44072e6i | −0.633703 | + | 1.76570i | ||||
\(395\) | 729218. | − | 1.71957e6i | 0.235160 | − | 0.554531i | ||||
\(396\) | −1.27149e6 | + | 1.54322e6i | −0.407452 | + | 0.494528i | ||||
\(397\) | −2.37469e6 | + | 2.37469e6i | −0.756189 | + | 0.756189i | −0.975627 | − | 0.219437i | \(-0.929578\pi\) |
0.219437 | + | 0.975627i | \(0.429578\pi\) | |||||||
\(398\) | 1.85578e6 | − | 875524.i | 0.587245 | − | 0.277051i | ||||
\(399\) | −6.38210e6 | −2.00693 | ||||||||
\(400\) | −1.83235e6 | + | 2.62345e6i | −0.572610 | + | 0.819828i | ||||
\(401\) | −6.03208e6 | −1.87329 | −0.936647 | − | 0.350275i | \(-0.886088\pi\) | ||||
−0.936647 | + | 0.350275i | \(0.886088\pi\) | |||||||
\(402\) | 564967. | − | 266541.i | 0.174365 | − | 0.0822620i | ||||
\(403\) | −223296. | + | 223296.i | −0.0684887 | + | 0.0684887i | ||||
\(404\) | −2.47596e6 | + | 3.00510e6i | −0.754729 | + | 0.916021i | ||||
\(405\) | 914029. | − | 2.15537e6i | 0.276900 | − | 0.652956i | ||||
\(406\) | −1.35520e6 | + | 3.77602e6i | −0.408027 | + | 1.13689i | ||||
\(407\) | 408764. | + | 408764.i | 0.122317 | + | 0.122317i | ||||
\(408\) | 2.98305e6 | + | 756419.i | 0.887176 | + | 0.224963i | ||||
\(409\) | − | 2.83617e6i | − | 0.838347i | −0.907906 | − | 0.419174i | \(-0.862320\pi\) | ||
0.907906 | − | 0.419174i | \(-0.137680\pi\) | |||||||
\(410\) | 77125.4 | + | 1.93992e6i | 0.0226589 | + | 0.569933i | ||||
\(411\) | − | 3.80654e6i | − | 1.11154i | ||||||
\(412\) | −157314. | − | 1.62954e6i | −0.0456587 | − | 0.472956i | ||||
\(413\) | 60530.5 | + | 60530.5i | 0.0174622 | + | 0.0174622i | ||||
\(414\) | 6.61302e6 | + | 2.37339e6i | 1.89626 | + | 0.680563i | ||||
\(415\) | −1.29995e6 | − | 3.21433e6i | −0.370516 | − | 0.916157i | ||||
\(416\) | 497968. | − | 3.24872e6i | 0.141081 | − | 0.920404i | ||||
\(417\) | 5.16724e6 | − | 5.16724e6i | 1.45519 | − | 1.45519i | ||||
\(418\) | −1.23986e6 | − | 2.62803e6i | −0.347081 | − | 0.735681i | ||||
\(419\) | 6.16608e6 | 1.71583 | 0.857914 | − | 0.513793i | \(-0.171760\pi\) | ||||
0.857914 | + | 0.513793i | \(0.171760\pi\) | |||||||
\(420\) | −2.13858e6 | − | 4.10226e6i | −0.591565 | − | 1.13475i | ||||
\(421\) | 6.27395e6 | 1.72518 | 0.862592 | − | 0.505900i | \(-0.168839\pi\) | ||||
0.862592 | + | 0.505900i | \(0.168839\pi\) | |||||||
\(422\) | −494822. | − | 1.04884e6i | −0.135260 | − | 0.286699i | ||||
\(423\) | −247727. | + | 247727.i | −0.0673167 | + | 0.0673167i | ||||
\(424\) | 3.17884e6 | − | 1.89281e6i | 0.858726 | − | 0.511320i | ||||
\(425\) | 2.27918e6 | + | 38221.7i | 0.612078 | + | 0.0102645i | ||||
\(426\) | 1.27667e6 | + | 458193.i | 0.340843 | + | 0.122328i | ||||
\(427\) | −860843. | − | 860843.i | −0.228483 | − | 0.228483i | ||||
\(428\) | 3.57609e6 | − | 345231.i | 0.943624 | − | 0.0910963i | ||||
\(429\) | − | 2.75258e6i | − | 0.722099i | ||||||
\(430\) | −2.42313e6 | − | 2.23782e6i | −0.631983 | − | 0.583653i | ||||
\(431\) | 4.63552e6i | 1.20200i | 0.799249 | + | 0.601001i | \(0.205231\pi\) | ||||
−0.799249 | + | 0.601001i | \(0.794769\pi\) | |||||||
\(432\) | 762715. | − | 1.13198e6i | 0.196631 | − | 0.291830i | ||||
\(433\) | −2.87725e6 | − | 2.87725e6i | −0.737492 | − | 0.737492i | 0.234600 | − | 0.972092i | \(-0.424622\pi\) |
−0.972092 | + | 0.234600i | \(0.924622\pi\) | |||||||
\(434\) | 118013. | − | 328820.i | 0.0300749 | − | 0.0837981i | ||||
\(435\) | −7.71970e6 | + | 3.12204e6i | −1.95604 | + | 0.791070i | ||||
\(436\) | −2.01234e6 | − | 1.65801e6i | −0.506974 | − | 0.417706i | ||||
\(437\) | −7.21987e6 | + | 7.21987e6i | −1.80853 | + | 1.80853i | ||||
\(438\) | −3.98505e6 | + | 1.88007e6i | −0.992541 | + | 0.468263i | ||||
\(439\) | −3.46636e6 | −0.858445 | −0.429223 | − | 0.903199i | \(-0.641212\pi\) | ||||
−0.429223 | + | 0.903199i | \(0.641212\pi\) | |||||||
\(440\) | 1.27377e6 | − | 1.67758e6i | 0.313661 | − | 0.413096i | ||||
\(441\) | −1.34917e6 | −0.330346 | ||||||||
\(442\) | −2.11742e6 | + | 998959.i | −0.515526 | + | 0.243216i | ||||
\(443\) | −815745. | + | 815745.i | −0.197490 | + | 0.197490i | −0.798923 | − | 0.601433i | \(-0.794597\pi\) |
0.601433 | + | 0.798923i | \(0.294597\pi\) | |||||||
\(444\) | −1.59855e6 | − | 1.31708e6i | −0.384830 | − | 0.317069i | ||||
\(445\) | 548673. | + | 232676.i | 0.131345 | + | 0.0556995i | ||||
\(446\) | 1.69584e6 | − | 4.72515e6i | 0.403690 | − | 1.12481i | ||||
\(447\) | 2.71675e6 | + | 2.71675e6i | 0.643104 | + | 0.643104i | ||||
\(448\) | 1.03527e6 | + | 3.48552e6i | 0.243702 | + | 0.820488i | ||||
\(449\) | − | 1.73838e6i | − | 0.406939i | −0.979081 | − | 0.203469i | \(-0.934778\pi\) | ||
0.979081 | − | 0.203469i | \(-0.0652217\pi\) | |||||||
\(450\) | 1.87611e6 | − | 4.96401e6i | 0.436743 | − | 1.15558i | ||||
\(451\) | − | 1.27794e6i | − | 0.295848i | ||||||
\(452\) | −1.44247e6 | + | 139255.i | −0.332095 | + | 0.0320600i | ||||
\(453\) | 6.61521e6 | + | 6.61521e6i | 1.51460 | + | 1.51460i | ||||
\(454\) | −3.53297e6 | − | 1.26797e6i | −0.804452 | − | 0.288715i | ||||
\(455\) | 3.24019e6 | + | 1.37407e6i | 0.733739 | + | 0.311157i | ||||
\(456\) | 5.32664e6 | + | 8.94571e6i | 1.19961 | + | 2.01467i | ||||
\(457\) | 512272. | − | 512272.i | 0.114739 | − | 0.114739i | −0.647406 | − | 0.762145i | \(-0.724146\pi\) |
0.762145 | + | 0.647406i | \(0.224146\pi\) | |||||||
\(458\) | −591962. | − | 1.25474e6i | −0.131865 | − | 0.279505i | ||||
\(459\) | −972321. | −0.215416 | ||||||||
\(460\) | −7.06007e6 | − | 2.22145e6i | −1.55566 | − | 0.489489i | ||||
\(461\) | −996982. | −0.218492 | −0.109246 | − | 0.994015i | \(-0.534844\pi\) | ||||
−0.109246 | + | 0.994015i | \(0.534844\pi\) | |||||||
\(462\) | 1.29932e6 | + | 2.75406e6i | 0.283211 | + | 0.600300i | ||||
\(463\) | 3.62219e6 | − | 3.62219e6i | 0.785270 | − | 0.785270i | −0.195445 | − | 0.980715i | \(-0.562615\pi\) |
0.980715 | + | 0.195445i | \(0.0626150\pi\) | |||||||
\(464\) | 6.42388e6 | − | 1.25198e6i | 1.38517 | − | 0.269961i | ||||
\(465\) | 672241. | − | 271871.i | 0.144176 | − | 0.0583083i | ||||
\(466\) | −8.65325e6 | − | 3.10562e6i | −1.84593 | − | 0.662497i | ||||
\(467\) | −4.58788e6 | − | 4.58788e6i | −0.973464 | − | 0.973464i | 0.0261933 | − | 0.999657i | \(-0.491661\pi\) |
−0.999657 | + | 0.0261933i | \(0.991661\pi\) | |||||||
\(468\) | 523742. | + | 5.42520e6i | 0.110536 | + | 1.14499i | ||||
\(469\) | − | 525758.i | − | 0.110371i | ||||||
\(470\) | 250387. | − | 271120.i | 0.0522838 | − | 0.0566132i | ||||
\(471\) | − | 8.38630e6i | − | 1.74188i | ||||||
\(472\) | 34324.8 | − | 135365.i | 0.00709175 | − | 0.0279674i | ||||
\(473\) | 1.53522e6 | + | 1.53522e6i | 0.315514 | + | 0.315514i | ||||
\(474\) | 1.48805e6 | − | 4.14617e6i | 0.304208 | − | 0.847620i | ||||
\(475\) | 5.36092e6 | + | 5.54379e6i | 1.09020 | + | 1.12739i | ||||
\(476\) | 1.64701e6 | − | 1.99899e6i | 0.333180 | − | 0.404384i | ||||
\(477\) | −4.33838e6 | + | 4.33838e6i | −0.873034 | + | 0.873034i | ||||
\(478\) | −4.20902e6 | + | 1.98574e6i | −0.842580 | + | 0.397514i | ||||
\(479\) | 4.86880e6 | 0.969580 | 0.484790 | − | 0.874631i | \(-0.338896\pi\) | ||||
0.484790 | + | 0.874631i | \(0.338896\pi\) | |||||||
\(480\) | −3.96519e6 | + | 6.42146e6i | −0.785527 | + | 1.27213i | ||||
\(481\) | 1.57574e6 | 0.310543 | ||||||||
\(482\) | 1.72438e6 | − | 813533.i | 0.338077 | − | 0.159499i | ||||
\(483\) | 7.56610e6 | − | 7.56610e6i | 1.47572 | − | 1.47572i | ||||
\(484\) | 2.39548e6 | − | 2.90741e6i | 0.464813 | − | 0.564148i | ||||
\(485\) | −2.02803e6 | − | 5.01460e6i | −0.391489 | − | 0.968014i | ||||
\(486\) | 2.48413e6 | − | 6.92157e6i | 0.477072 | − | 1.32927i | ||||
\(487\) | 2.54970e6 | + | 2.54970e6i | 0.487154 | + | 0.487154i | 0.907407 | − | 0.420253i | \(-0.138059\pi\) |
−0.420253 | + | 0.907407i | \(0.638059\pi\) | |||||||
\(488\) | −488156. | + | 1.92511e6i | −0.0927916 | + | 0.365937i | ||||
\(489\) | 1.15967e7i | 2.19311i | ||||||||
\(490\) | 1.42011e6 | − | 56459.4i | 0.267197 | − | 0.0106230i | ||||
\(491\) | 5.98759e6i | 1.12085i | 0.828204 | + | 0.560426i | \(0.189363\pi\) | ||||
−0.828204 | + | 0.560426i | \(0.810637\pi\) | |||||||
\(492\) | 439988. | + | 4.55763e6i | 0.0819461 | + | 0.848841i | ||||
\(493\) | −3.29661e6 | − | 3.29661e6i | −0.610872 | − | 0.610872i | ||||
\(494\) | −7.45513e6 | − | 2.67562e6i | −1.37448 | − | 0.493296i | ||||
\(495\) | −1.36375e6 | + | 3.21587e6i | −0.250163 | + | 0.589909i | ||||
\(496\) | −559399. | + | 109024.i | −0.102098 | + | 0.0198983i | ||||
\(497\) | 807231. | − | 807231.i | 0.146591 | − | 0.146591i | ||||
\(498\) | −3.48911e6 | − | 7.39559e6i | −0.630436 | − | 1.33629i | ||||
\(499\) | −1.08538e7 | −1.95133 | −0.975667 | − | 0.219256i | \(-0.929637\pi\) | ||||
−0.975667 | + | 0.219256i | \(0.929637\pi\) | |||||||
\(500\) | −1.76703e6 | + | 5.30355e6i | −0.316095 | + | 0.948727i | ||||
\(501\) | 7.71350e6 | 1.37296 | ||||||||
\(502\) | 4.51151e6 | + | 9.56271e6i | 0.799029 | + | 1.69364i | ||||
\(503\) | −1.50406e6 | + | 1.50406e6i | −0.265060 | + | 0.265060i | −0.827106 | − | 0.562046i | \(-0.810014\pi\) |
0.562046 | + | 0.827106i | \(0.310014\pi\) | |||||||
\(504\) | −3.08491e6 | − | 5.18089e6i | −0.540961 | − | 0.908506i | ||||
\(505\) | −2.65562e6 | + | 6.26222e6i | −0.463381 | + | 1.09270i | ||||
\(506\) | 4.58545e6 | + | 1.64571e6i | 0.796171 | + | 0.285743i | ||||
\(507\) | 813539. | + | 813539.i | 0.140559 | + | 0.140559i | ||||
\(508\) | 8.41745e6 | − | 812611.i | 1.44718 | − | 0.139709i | ||||
\(509\) | 6.87244e6i | 1.17575i | 0.808950 | + | 0.587877i | \(0.200036\pi\) | ||||
−0.808950 | + | 0.587877i | \(0.799964\pi\) | |||||||
\(510\) | 5.37185e6 | − | 213569.i | 0.914532 | − | 0.0363591i | ||||
\(511\) | 3.70848e6i | 0.628267i | ||||||||
\(512\) | 4.02155e6 | − | 4.36022e6i | 0.677983 | − | 0.735078i | ||||
\(513\) | −2.32603e6 | − | 2.32603e6i | −0.390231 | − | 0.390231i | ||||
\(514\) | −2.33314e6 | + | 6.50087e6i | −0.389523 | + | 1.08533i | ||||
\(515\) | −1.07225e6 | − | 2.65130e6i | −0.178147 | − | 0.440495i | ||||
\(516\) | −6.00378e6 | − | 4.94664e6i | −0.992659 | − | 0.817873i | ||||
\(517\) | −171774. | + | 171774.i | −0.0282638 | + | 0.0282638i | ||||
\(518\) | −1.57659e6 | + | 743804.i | −0.258162 | + | 0.121796i | ||||
\(519\) | 429110. | 0.0699278 | ||||||||
\(520\) | −778314. | − | 5.68856e6i | −0.126225 | − | 0.922558i | ||||
\(521\) | 126327. | 0.0203893 | 0.0101947 | − | 0.999948i | \(-0.496755\pi\) | ||||
0.0101947 | + | 0.999948i | \(0.496755\pi\) | |||||||
\(522\) | −9.81589e6 | + | 4.63096e6i | −1.57672 | + | 0.743866i | ||||
\(523\) | −6.53633e6 | + | 6.53633e6i | −1.04491 | + | 1.04491i | −0.0459698 | + | 0.998943i | \(0.514638\pi\) |
−0.998943 | + | 0.0459698i | \(0.985362\pi\) | |||||||
\(524\) | −103328. | − | 85134.2i | −0.0164396 | − | 0.0135449i | ||||
\(525\) | −5.61801e6 | − | 5.80965e6i | −0.889578 | − | 0.919923i | ||||
\(526\) | −1.57400e6 | + | 4.38565e6i | −0.248050 | + | 0.691145i | ||||
\(527\) | 287073. | + | 287073.i | 0.0450262 | + | 0.0450262i | ||||
\(528\) | 2.77590e6 | − | 4.11983e6i | 0.433330 | − | 0.643124i | ||||
\(529\) | − | 1.06822e7i | − | 1.65968i | ||||||
\(530\) | 4.38495e6 | − | 4.74805e6i | 0.678071 | − | 0.734219i | ||||
\(531\) | 231587.i | 0.0356433i | ||||||||
\(532\) | 8.72212e6 | − | 842023.i | 1.33611 | − | 0.128987i | ||||
\(533\) | −2.46315e6 | − | 2.46315e6i | −0.375554 | − | 0.375554i | ||||
\(534\) | 1.32294e6 | + | 474801.i | 0.200765 | + | 0.0720540i | ||||
\(535\) | 5.81840e6 | − | 2.35310e6i | 0.878859 | − | 0.355432i | ||||
\(536\) | −736949. | + | 438809.i | −0.110796 | + | 0.0659726i | ||||
\(537\) | 9.87145e6 | − | 9.87145e6i | 1.47722 | − | 1.47722i | ||||
\(538\) | 3.45994e6 | + | 7.33377e6i | 0.515363 | + | 1.09238i | ||||
\(539\) | −935509. | −0.138700 | ||||||||
\(540\) | 715687. | − | 2.27455e6i | 0.105618 | − | 0.335668i | ||||
\(541\) | 7.75559e6 | 1.13926 | 0.569628 | − | 0.821903i | \(-0.307087\pi\) | ||||
0.569628 | + | 0.821903i | \(0.307087\pi\) | |||||||
\(542\) | 819875. | + | 1.73783e6i | 0.119881 | + | 0.254102i | ||||
\(543\) | 305514. | − | 305514.i | 0.0444664 | − | 0.0444664i | ||||
\(544\) | −4.17659e6 | − | 640194.i | −0.605097 | − | 0.0927501i | ||||
\(545\) | −4.19345e6 | − | 1.77832e6i | −0.604756 | − | 0.256459i | ||||
\(546\) | 7.81264e6 | + | 2.80393e6i | 1.12154 | + | 0.402519i | ||||
\(547\) | −3.20243e6 | − | 3.20243e6i | −0.457626 | − | 0.457626i | 0.440249 | − | 0.897876i | \(-0.354890\pi\) |
−0.897876 | + | 0.440249i | \(0.854890\pi\) | |||||||
\(548\) | 502216. | + | 5.20222e6i | 0.0714396 | + | 0.740009i | ||||
\(549\) | − | 3.29354e6i | − | 0.466372i | ||||||
\(550\) | 1.30089e6 | − | 3.44204e6i | 0.183372 | − | 0.485187i | ||||
\(551\) | − | 1.57726e7i | − | 2.21322i | ||||||
\(552\) | −1.69201e7 | − | 4.29048e6i | −2.36350 | − | 0.599320i | ||||
\(553\) | −2.62160e6 | − | 2.62160e6i | −0.364547 | − | 0.364547i | ||||
\(554\) | −195161. | + | 543780.i | −0.0270159 | + | 0.0752747i | ||||
\(555\) | −3.33116e6 | − | 1.41265e6i | −0.459054 | − | 0.194671i | ||||
\(556\) | −6.38009e6 | + | 7.74357e6i | −0.875265 | + | 1.06232i | ||||
\(557\) | 5.24556e6 | − | 5.24556e6i | 0.716397 | − | 0.716397i | −0.251468 | − | 0.967866i | \(-0.580913\pi\) |
0.967866 | + | 0.251468i | \(0.0809135\pi\) | |||||||
\(558\) | 854780. | − | 403270.i | 0.116217 | − | 0.0548290i | ||||
\(559\) | 5.91810e6 | 0.801038 | ||||||||
\(560\) | 3.46393e6 | + | 5.32422e6i | 0.466766 | + | 0.717441i | ||||
\(561\) | −3.53876e6 | −0.474726 | ||||||||
\(562\) | −83772.8 | + | 39522.5i | −0.0111882 | + | 0.00527841i | ||||
\(563\) | −6.77321e6 | + | 6.77321e6i | −0.900583 | + | 0.900583i | −0.995486 | − | 0.0949039i | \(-0.969746\pi\) |
0.0949039 | + | 0.995486i | \(0.469746\pi\) | |||||||
\(564\) | 553472. | − | 671754.i | 0.0732652 | − | 0.0889226i | ||||
\(565\) | −2.34695e6 | + | 949163.i | −0.309301 | + | 0.125089i | ||||
\(566\) | 1.38658e6 | − | 3.86345e6i | 0.181930 | − | 0.506913i | ||||
\(567\) | −3.28601e6 | − | 3.28601e6i | −0.429251 | − | 0.429251i | ||||
\(568\) | −1.80522e6 | − | 457754.i | −0.234779 | − | 0.0595334i | ||||
\(569\) | 1.13795e7i | 1.47348i | 0.676178 | + | 0.736738i | \(0.263635\pi\) | ||||
−0.676178 | + | 0.736738i | \(0.736365\pi\) | |||||||
\(570\) | 1.33617e7 | + | 1.23399e7i | 1.72256 | + | 1.59083i | ||||
\(571\) | − | 5.61501e6i | − | 0.720710i | −0.932815 | − | 0.360355i | \(-0.882656\pi\) | ||
0.932815 | − | 0.360355i | \(-0.117344\pi\) | |||||||
\(572\) | 363162. | + | 3.76182e6i | 0.0464099 | + | 0.480738i | ||||
\(573\) | −3.79457e6 | − | 3.79457e6i | −0.482809 | − | 0.482809i | ||||
\(574\) | 3.62717e6 | + | 1.30178e6i | 0.459503 | + | 0.164914i | ||||
\(575\) | −1.29277e7 | − | 216797.i | −1.63062 | − | 0.0273454i | ||||
\(576\) | −4.68726e6 | + | 8.64816e6i | −0.588658 | + | 1.08609i | ||||
\(577\) | −1.77450e6 | + | 1.77450e6i | −0.221889 | + | 0.221889i | −0.809294 | − | 0.587404i | \(-0.800150\pi\) |
0.587404 | + | 0.809294i | \(0.300150\pi\) | |||||||
\(578\) | −2.14279e6 | − | 4.54191e6i | −0.266784 | − | 0.565482i | ||||
\(579\) | 2.04849e7 | 2.53943 | ||||||||
\(580\) | 1.01382e7 | − | 5.28524e6i | 1.25139 | − | 0.652371i | ||||
\(581\) | −6.88233e6 | −0.845853 | ||||||||
\(582\) | −5.44327e6 | − | 1.15377e7i | −0.666120 | − | 1.41192i | ||||
\(583\) | −3.00822e6 | + | 3.00822e6i | −0.366555 | + | 0.366555i | ||||
\(584\) | 5.19814e6 | − | 3.09518e6i | 0.630690 | − | 0.375538i | ||||
\(585\) | 3.56984e6 | + | 8.82695e6i | 0.431279 | + | 1.06640i | ||||
\(586\) | −1.05245e7 | − | 3.77723e6i | −1.26607 | − | 0.454390i | ||||
\(587\) | 8.74762e6 | + | 8.74762e6i | 1.04784 | + | 1.04784i | 0.998797 | + | 0.0490427i | \(0.0156170\pi\) |
0.0490427 | + | 0.998797i | \(0.484383\pi\) | |||||||
\(588\) | 3.33639e6 | − | 322092.i | 0.397955 | − | 0.0384181i | ||||
\(589\) | 1.37350e6i | 0.163132i | ||||||||
\(590\) | −9691.35 | − | 243764.i | −0.00114618 | − | 0.0288297i | ||||
\(591\) | 2.38160e7i | 2.80479i | ||||||||
\(592\) | 2.35843e6 | + | 1.58909e6i | 0.276579 | + | 0.186356i | ||||
\(593\) | 1.41270e6 | + | 1.41270e6i | 0.164973 | + | 0.164973i | 0.784766 | − | 0.619793i | \(-0.212783\pi\) |
−0.619793 | + | 0.784766i | \(0.712783\pi\) | |||||||
\(594\) | −530198. | + | 1.47730e6i | −0.0616555 | + | 0.171792i | ||||
\(595\) | 1.76652e6 | − | 4.16563e6i | 0.204563 | − | 0.482379i | ||||
\(596\) | −4.07130e6 | − | 3.35443e6i | −0.469480 | − | 0.386814i | ||||
\(597\) | 5.97795e6 | − | 5.97795e6i | 0.686462 | − | 0.686462i | ||||
\(598\) | 1.20102e7 | − | 5.66619e6i | 1.37340 | − | 0.647945i | ||||
\(599\) | 2.42413e6 | 0.276051 | 0.138026 | − | 0.990429i | \(-0.455924\pi\) | ||||
0.138026 | + | 0.990429i | \(0.455924\pi\) | |||||||
\(600\) | −3.45441e6 | + | 1.27236e7i | −0.391738 | + | 1.44288i | ||||
\(601\) | −1.10729e7 | −1.25048 | −0.625240 | − | 0.780433i | \(-0.714999\pi\) | ||||
−0.625240 | + | 0.780433i | \(0.714999\pi\) | |||||||
\(602\) | −5.92128e6 | + | 2.79355e6i | −0.665924 | + | 0.314171i | ||||
\(603\) | 1.00576e6 | − | 1.00576e6i | 0.112642 | − | 0.112642i | ||||
\(604\) | −9.91348e6 | − | 8.16792e6i | −1.10569 | − | 0.911001i | ||||
\(605\) | 2.56930e6 | − | 6.05865e6i | 0.285382 | − | 0.672958i | ||||
\(606\) | −5.41909e6 | + | 1.50993e7i | −0.599439 | + | 1.67022i | ||||
\(607\) | −5.92774e6 | − | 5.92774e6i | −0.653007 | − | 0.653007i | 0.300709 | − | 0.953716i | \(-0.402777\pi\) |
−0.953716 | + | 0.300709i | \(0.902777\pi\) | |||||||
\(608\) | −8.45992e6 | − | 1.15229e7i | −0.928127 | − | 1.26416i | ||||
\(609\) | 1.65290e7i | 1.80594i | ||||||||
\(610\) | 137827. | + | 3.46673e6i | 0.0149972 | + | 0.377221i | ||||
\(611\) | 662168.i | 0.0717571i | ||||||||
\(612\) | 6.97471e6 | − | 673330.i | 0.752744 | − | 0.0726691i | ||||
\(613\) | 1.15257e7 | + | 1.15257e7i | 1.23884 | + | 1.23884i | 0.960477 | + | 0.278361i | \(0.0897912\pi\) |
0.278361 | + | 0.960477i | \(0.410209\pi\) | |||||||
\(614\) | 8.51788e6 | + | 3.05704e6i | 0.911823 | + | 0.327251i | ||||
\(615\) | 2.99897e6 | + | 7.41539e6i | 0.319730 | + | 0.790581i | ||||
\(616\) | −2.13907e6 | − | 3.59242e6i | −0.227129 | − | 0.381448i | ||||
\(617\) | −34923.5 | + | 34923.5i | −0.00369322 | + | 0.00369322i | −0.708951 | − | 0.705258i | \(-0.750831\pi\) |
0.705258 | + | 0.708951i | \(0.250831\pi\) | |||||||
\(618\) | −2.87795e6 | − | 6.10017e6i | −0.303118 | − | 0.642497i | ||||
\(619\) | −6.68625e6 | −0.701384 | −0.350692 | − | 0.936491i | \(-0.614054\pi\) | ||||
−0.350692 | + | 0.936491i | \(0.614054\pi\) | |||||||
\(620\) | −882852. | + | 460246.i | −0.0922377 | + | 0.0480851i | ||||
\(621\) | 5.51510e6 | 0.573884 | ||||||||
\(622\) | −4.88985e6 | − | 1.03646e7i | −0.506780 | − | 1.07418i | ||||
\(623\) | 836489. | − | 836489.i | 0.0863456 | − | 0.0863456i | ||||
\(624\) | −2.59036e6 | − | 1.32911e7i | −0.266317 | − | 1.36647i | ||||
\(625\) | −327445. | + | 9.76013e6i | −0.0335304 | + | 0.999438i | ||||
\(626\) | 1.01256e7 | + | 3.63405e6i | 1.03273 | + | 0.370643i | ||||
\(627\) | −8.46556e6 | − | 8.46556e6i | −0.859977 | − | 0.859977i | ||||
\(628\) | 1.10645e6 | + | 1.14612e7i | 0.111952 | + | 1.15966i | ||||
\(629\) | − | 2.02579e6i | − | 0.204159i | ||||||
\(630\) | −7.73839e6 | − | 7.14661e6i | −0.776782 | − | 0.717379i | ||||
\(631\) | − | 6.84731e6i | − | 0.684615i | −0.939588 | − | 0.342308i | \(-0.888791\pi\) | ||
0.939588 | − | 0.342308i | \(-0.111209\pi\) | |||||||
\(632\) | −1.48662e6 | + | 5.86270e6i | −0.148050 | + | 0.583855i | ||||
\(633\) | −3.37857e6 | − | 3.37857e6i | −0.335138 | − | 0.335138i | ||||
\(634\) | 505650. | − | 1.40890e6i | 0.0499605 | − | 0.139206i | ||||
\(635\) | 1.36954e7 | − | 5.53877e6i | 1.34785 | − | 0.545104i | ||||
\(636\) | 9.69279e6 | − | 1.17642e7i | 0.950180 | − | 1.15324i | ||||
\(637\) | −1.80314e6 | + | 1.80314e6i | −0.176068 | + | 0.176068i | ||||
\(638\) | −6.80632e6 | + | 3.21110e6i | −0.662004 | + | 0.312322i | ||||
\(639\) | 3.08842e6 | 0.299216 | ||||||||
\(640\) | 4.57183e6 | − | 9.29906e6i | 0.441204 | − | 0.897407i | ||||
\(641\) | 2.99452e6 | 0.287860 | 0.143930 | − | 0.989588i | \(-0.454026\pi\) | ||||
0.143930 | + | 0.989588i | \(0.454026\pi\) | |||||||
\(642\) | 1.33871e7 | − | 6.31579e6i | 1.28188 | − | 0.604770i | ||||
\(643\) | 9.65074e6 | − | 9.65074e6i | 0.920520 | − | 0.920520i | −0.0765462 | − | 0.997066i | \(-0.524389\pi\) |
0.997066 | + | 0.0765462i | \(0.0243893\pi\) | |||||||
\(644\) | −9.34201e6 | + | 1.13385e7i | −0.887617 | + | 1.07731i | ||||
\(645\) | −1.25111e7 | − | 5.30557e6i | −1.18412 | − | 0.502150i | ||||
\(646\) | −3.43982e6 | + | 9.58441e6i | −0.324305 | + | 0.903617i | ||||
\(647\) | −6.64651e6 | − | 6.64651e6i | −0.624213 | − | 0.624213i | 0.322393 | − | 0.946606i | \(-0.395513\pi\) |
−0.946606 | + | 0.322393i | \(0.895513\pi\) | |||||||
\(648\) | −1.86339e6 | + | 7.34853e6i | −0.174327 | + | 0.687485i | ||||
\(649\) | 160582.i | 0.0149653i | ||||||||
\(650\) | −4.12694e6 | − | 9.14172e6i | −0.383129 | − | 0.848681i | ||||
\(651\) | − | 1.43936e6i | − | 0.133112i | ||||||
\(652\) | −1.53001e6 | − | 1.58486e7i | −0.140953 | − | 1.46007i | ||||
\(653\) | 195330. | + | 195330.i | 0.0179261 | + | 0.0179261i | 0.716013 | − | 0.698087i | \(-0.245965\pi\) |
−0.698087 | + | 0.716013i | \(0.745965\pi\) | |||||||
\(654\) | −1.01111e7 | − | 3.62885e6i | −0.924390 | − | 0.331761i | ||||
\(655\) | −215322. | − | 91311.7i | −0.0196103 | − | 0.00831617i | ||||
\(656\) | −1.20262e6 | − | 6.17065e6i | −0.109111 | − | 0.559850i | ||||
\(657\) | −7.09424e6 | + | 7.09424e6i | −0.641198 | + | 0.641198i | ||||
\(658\) | −312567. | − | 662523.i | −0.0281435 | − | 0.0596536i | ||||
\(659\) | −8.86513e6 | −0.795191 | −0.397596 | − | 0.917561i | \(-0.630155\pi\) | ||||
−0.397596 | + | 0.917561i | \(0.630155\pi\) | |||||||
\(660\) | 2.60474e6 | − | 8.27819e6i | 0.232758 | − | 0.739734i | ||||
\(661\) | 2.15678e7 | 1.92001 | 0.960004 | − | 0.279986i | \(-0.0903299\pi\) | ||||
0.960004 | + | 0.279986i | \(0.0903299\pi\) | |||||||
\(662\) | 8.50828e6 | + | 1.80344e7i | 0.754565 | + | 1.59939i | ||||
\(663\) | −6.82074e6 | + | 6.82074e6i | −0.602626 | + | 0.602626i | ||||
\(664\) | 5.74414e6 | + | 9.64688e6i | 0.505597 | + | 0.849115i | ||||
\(665\) | 1.41911e7 | − | 5.73925e6i | 1.24441 | − | 0.503270i | ||||
\(666\) | −4.43885e6 | − | 1.59309e6i | −0.387779 | − | 0.139173i | ||||
\(667\) | 1.86987e7 | + | 1.86987e7i | 1.62741 | + | 1.62741i | ||||
\(668\) | −1.05417e7 | + | 1.01768e6i | −0.914047 | + | 0.0882411i | ||||
\(669\) | − | 2.06837e7i | − | 1.78674i | ||||||
\(670\) | −1.01656e6 | + | 1.10074e6i | −0.0874875 | + | 0.0947320i | ||||
\(671\) | − | 2.28374e6i | − | 0.195812i | ||||||
\(672\) | 8.86563e6 | + | 1.20755e7i | 0.757332 | + | 1.03153i | ||||
\(673\) | −1.42793e7 | − | 1.42793e7i | −1.21526 | − | 1.21526i | −0.969274 | − | 0.245984i | \(-0.920889\pi\) |
−0.245984 | − | 0.969274i | \(-0.579111\pi\) | |||||||
\(674\) | 2.31537e6 | − | 6.45136e6i | 0.196323 | − | 0.547018i | ||||
\(675\) | 69845.6 | − | 4.16494e6i | 0.00590038 | − | 0.351843i | ||||
\(676\) | −1.21916e6 | − | 1.00449e6i | −0.102611 | − | 0.0845434i | ||||
\(677\) | 1.44888e6 | − | 1.44888e6i | 0.121496 | − | 0.121496i | −0.643745 | − | 0.765240i | \(-0.722620\pi\) |
0.765240 | + | 0.643745i | \(0.222620\pi\) | |||||||
\(678\) | −5.39990e6 | + | 2.54758e6i | −0.451141 | + | 0.212840i | ||||
\(679\) | −1.07370e7 | −0.893731 | ||||||||
\(680\) | −7.31329e6 | + | 1.00061e6i | −0.606513 | + | 0.0829838i | ||||
\(681\) | −1.54651e7 | −1.27786 | ||||||||
\(682\) | 592703. | − | 279627.i | 0.0487951 | − | 0.0230207i | ||||
\(683\) | 5.58544e6 | − | 5.58544e6i | 0.458148 | − | 0.458148i | −0.439899 | − | 0.898047i | \(-0.644986\pi\) |
0.898047 | + | 0.439899i | \(0.144986\pi\) | |||||||
\(684\) | 1.82960e7 | + | 1.50744e7i | 1.49525 | + | 1.23197i | ||||
\(685\) | 3.42311e6 | + | 8.46415e6i | 0.278737 | + | 0.689219i | ||||
\(686\) | 4.51666e6 | − | 1.25848e7i | 0.366444 | − | 1.02103i | ||||
\(687\) | −4.04183e6 | − | 4.04183e6i | −0.326728 | − | 0.326728i | ||||
\(688\) | 8.85772e6 | + | 5.96823e6i | 0.713429 | + | 0.480700i | ||||
\(689\) | 1.15963e7i | 0.930622i | ||||||||
\(690\) | −3.04697e7 | + | 1.21138e6i | −2.43638 | + | 0.0968633i | ||||
\(691\) | 1.36653e7i | 1.08874i | 0.838845 | + | 0.544371i | \(0.183232\pi\) | ||||
−0.838845 | + | 0.544371i | \(0.816768\pi\) | |||||||
\(692\) | −586445. | + | 56614.7i | −0.0465545 | + | 0.00449432i | ||||
\(693\) | 4.90281e6 | + | 4.90281e6i | 0.387804 | + | 0.387804i | ||||
\(694\) | 8.03699e6 | + | 2.88445e6i | 0.633424 | + | 0.227334i | ||||
\(695\) | −6.84304e6 | + | 1.61366e7i | −0.537387 | + | 1.26721i | ||||
\(696\) | 2.31685e7 | − | 1.37954e7i | 1.81290 | − | 1.07947i | ||||
\(697\) | −3.16666e6 | + | 3.16666e6i | −0.246899 | + | 0.246899i | ||||
\(698\) | 3.35364e6 | + | 7.10845e6i | 0.260542 | + | 0.552251i | ||||
\(699\) | −3.78784e7 | −2.93223 | ||||||||
\(700\) | 8.44437e6 | + | 7.19857e6i | 0.651362 | + | 0.555266i | ||||
\(701\) | 3.99831e6 | 0.307314 | 0.153657 | − | 0.988124i | \(-0.450895\pi\) | ||||
0.153657 | + | 0.988124i | \(0.450895\pi\) | |||||||
\(702\) | 1.82548e6 | + | 3.86933e6i | 0.139809 | + | 0.296342i | ||||
\(703\) | 4.84618e6 | − | 4.84618e6i | 0.369838 | − | 0.369838i | ||||
\(704\) | −3.25014e6 | + | 5.99662e6i | −0.247155 | + | 0.456011i | ||||
\(705\) | 593633. | − | 1.39984e6i | 0.0449827 | − | 0.106073i | ||||
\(706\) | 1.35889e6 | + | 487703.i | 0.102606 | + | 0.0368251i | ||||
\(707\) | 9.54719e6 | + | 9.54719e6i | 0.718335 | + | 0.718335i | ||||
\(708\) | −55287.6 | − | 572698.i | −0.00414519 | − | 0.0429381i | ||||
\(709\) | − | 1.77886e7i | − | 1.32901i | −0.747285 | − | 0.664504i | \(-0.768643\pi\) | ||
0.747285 | − | 0.664504i | \(-0.231357\pi\) | |||||||
\(710\) | −3.25082e6 | + | 129243.i | −0.242018 | + | 0.00962192i | ||||
\(711\) | − | 1.00301e7i | − | 0.744100i | ||||||
\(712\) | −1.87065e6 | − | 474345.i | −0.138291 | − | 0.0350667i | ||||
\(713\) | −1.62831e6 | − | 1.62831e6i | −0.119953 | − | 0.119953i | ||||
\(714\) | 3.60478e6 | − | 1.00440e7i | 0.264626 | − | 0.737332i | ||||
\(715\) | 2.47532e6 | + | 6.12060e6i | 0.181078 | + | 0.447743i | ||||
\(716\) | −1.21885e7 | + | 1.47932e7i | −0.888518 | + | 1.07840i | ||||
\(717\) | −1.35583e7 | + | 1.35583e7i | −0.984937 | + | 0.984937i | ||||
\(718\) | 1.49271e7 | − | 7.04232e6i | 1.08060 | − | 0.509806i | ||||
\(719\) | 2.25149e7 | 1.62423 | 0.812116 | − | 0.583496i | \(-0.198316\pi\) | ||||
0.812116 | + | 0.583496i | \(0.198316\pi\) | |||||||
\(720\) | −3.55869e6 | + | 1.68115e7i | −0.255834 | + | 1.20858i | ||||
\(721\) | −5.67681e6 | −0.406693 | ||||||||
\(722\) | −1.84892e7 | + | 8.72288e6i | −1.32000 | + | 0.622754i | ||||
\(723\) | 5.55468e6 | − | 5.55468e6i | 0.395197 | − | 0.395197i | ||||
\(724\) | −377224. | + | 457841.i | −0.0267457 | + | 0.0324614i | ||||
\(725\) | 1.43578e7 | − | 1.38842e7i | 1.01448 | − | 0.981017i | ||||
\(726\) | 5.24293e6 | − | 1.46085e7i | 0.369175 | − | 1.02864i | ||||
\(727\) | 2.44435e6 | + | 2.44435e6i | 0.171525 | + | 0.171525i | 0.787649 | − | 0.616124i | \(-0.211298\pi\) |
−0.616124 | + | 0.787649i | \(0.711298\pi\) | |||||||
\(728\) | −1.10471e7 | − | 2.80124e6i | −0.772539 | − | 0.195895i | ||||
\(729\) | − | 2.01213e7i | − | 1.40229i | ||||||
\(730\) | 7.17040e6 | − | 7.76415e6i | 0.498008 | − | 0.539246i | ||||
\(731\) | − | 7.60839e6i | − | 0.526623i | ||||||
\(732\) | 786281. | + | 8.14471e6i | 0.0542375 | + | 0.561821i | ||||
\(733\) | 4.63529e6 | + | 4.63529e6i | 0.318652 | + | 0.318652i | 0.848249 | − | 0.529597i | \(-0.177657\pi\) |
−0.529597 | + | 0.848249i | \(0.677657\pi\) | |||||||
\(734\) | 4.26141e6 | + | 1.52941e6i | 0.291953 | + | 0.104781i | ||||
\(735\) | 5.42841e6 | − | 2.19538e6i | 0.370642 | − | 0.149897i | ||||
\(736\) | 2.36900e7 | + | 3.63124e6i | 1.61202 | + | 0.247093i | ||||
\(737\) | 697394. | − | 697394.i | 0.0472944 | − | 0.0472944i | ||||
\(738\) | 4.44841e6 | + | 9.42895e6i | 0.300652 | + | 0.637269i | ||||
\(739\) | 4.68504e6 | 0.315575 | 0.157787 | − | 0.987473i | \(-0.449564\pi\) | ||||
0.157787 | + | 0.987473i | \(0.449564\pi\) | |||||||
\(740\) | 4.73892e6 | + | 1.49110e6i | 0.318127 | + | 0.100099i | ||||
\(741\) | −3.26337e7 | −2.18334 | ||||||||
\(742\) | −5.47389e6 | − | 1.16026e7i | −0.364994 | − | 0.773650i | ||||
\(743\) | 1.69427e6 | − | 1.69427e6i | 0.112593 | − | 0.112593i | −0.648566 | − | 0.761159i | \(-0.724631\pi\) |
0.761159 | + | 0.648566i | \(0.224631\pi\) | |||||||
\(744\) | −2.01754e6 | + | 1.20132e6i | −0.133626 | + | 0.0795660i | ||||
\(745\) | −8.48403e6 | − | 3.59783e6i | −0.560030 | − | 0.237493i | ||||
\(746\) | −8.48955e6 | − | 3.04687e6i | −0.558519 | − | 0.200451i | ||||
\(747\) | −1.31657e7 | − | 1.31657e7i | −0.863263 | − | 0.863263i | ||||
\(748\) | 4.83625e6 | − | 466886.i | 0.316049 | − | 0.0305110i | ||||
\(749\) | − | 1.24580e7i | − | 0.811417i | ||||||
\(750\) | 528942. | + | 2.30257e7i | 0.0343364 | + | 1.49472i | ||||
\(751\) | − | 1.18303e7i | − | 0.765412i | −0.923870 | − | 0.382706i | \(-0.874992\pi\) | ||
0.923870 | − | 0.382706i | \(-0.125008\pi\) | |||||||
\(752\) | −667777. | + | 991077.i | −0.0430612 | + | 0.0639091i | ||||
\(753\) | 3.08039e7 | + | 3.08039e7i | 1.97979 | + | 1.97979i | ||||
\(754\) | −6.92958e6 | + | 1.93080e7i | −0.443893 | + | 1.23683i | ||||
\(755\) | −2.06583e7 | − | 8.76060e6i | −1.31895 | − | 0.559328i | ||||
\(756\) | −3.65292e6 | − | 3.00972e6i | −0.232453 | − | 0.191523i | ||||
\(757\) | −1.23025e7 | + | 1.23025e7i | −0.780285 | + | 0.780285i | −0.979879 | − | 0.199594i | \(-0.936038\pi\) |
0.199594 | + | 0.979879i | \(0.436038\pi\) | |||||||
\(758\) | −2.32451e7 | + | 1.09666e7i | −1.46946 | + | 0.693267i | ||||
\(759\) | 2.00722e7 | 1.26471 | ||||||||
\(760\) | −1.98889e7 | − | 1.51015e7i | −1.24904 | − | 0.948385i | ||||
\(761\) | 2.23354e7 | 1.39808 | 0.699039 | − | 0.715083i | \(-0.253611\pi\) | ||||
0.699039 | + | 0.715083i | \(0.253611\pi\) | |||||||
\(762\) | 3.15108e7 | − | 1.48662e7i | 1.96595 | − | 0.927497i | ||||
\(763\) | −6.39320e6 | + | 6.39320e6i | −0.397564 | + | 0.397564i | ||||
\(764\) | 5.68650e6 | + | 4.68522e6i | 0.352461 | + | 0.290400i | ||||
\(765\) | 1.13481e7 | − | 4.58943e6i | 0.701080 | − | 0.283534i | ||||
\(766\) | −116274. | + | 323976.i | −0.00715996 | + | 0.0199499i | ||||
\(767\) | 309512. | + | 309512.i | 0.0189972 | + | 0.0189972i | ||||
\(768\) | 9.52666e6 | − | 2.25053e7i | 0.582824 | − | 1.37684i | ||||
\(769\) | − | 1.43454e7i | − | 0.874777i | −0.899273 | − | 0.437389i | \(-0.855903\pi\) | ||
0.899273 | − | 0.437389i | \(-0.144097\pi\) | |||||||
\(770\) | −5.36579e6 | − | 4.95545e6i | −0.326142 | − | 0.301201i | ||||
\(771\) | 2.84566e7i | 1.72404i | ||||||||
\(772\) | −2.79957e7 | + | 2.70268e6i | −1.69063 | + | 0.163211i | ||||
\(773\) | −5.20960e6 | − | 5.20960e6i | −0.313585 | − | 0.313585i | 0.532711 | − | 0.846297i | \(-0.321173\pi\) |
−0.846297 | + | 0.532711i | \(0.821173\pi\) | |||||||
\(774\) | −1.66713e7 | − | 5.98327e6i | −1.00027 | − | 0.358993i | ||||
\(775\) | −1.25030e6 | + | 1.20906e6i | −0.0747756 | + | 0.0723090i | ||||
\(776\) | 8.96130e6 | + | 1.50499e7i | 0.534216 | + | 0.897178i | ||||
\(777\) | −5.07859e6 | + | 5.07859e6i | −0.301780 | + | 0.301780i | ||||
\(778\) | 1.47459e6 | + | 3.12558e6i | 0.0873421 | + | 0.185132i | ||||
\(779\) | −1.51508e7 | −0.894526 | ||||||||
\(780\) | −1.09353e7 | − | 2.09762e7i | −0.643565 | − | 1.23450i | ||||
\(781\) | 2.14151e6 | 0.125630 | ||||||||
\(782\) | −7.28454e6 | − | 1.54405e7i | −0.425976 | − | 0.902908i | ||||
\(783\) | −6.02417e6 | + | 6.02417e6i | −0.351150 | + | 0.351150i | ||||
\(784\) | −4.51720e6 | + | 880375.i | −0.262470 | + | 0.0511538i | ||||
\(785\) | 7.54157e6 | + | 1.86477e7i | 0.436805 | + | 1.08007i | ||||
\(786\) | −519178. | − | 186331.i | −0.0299750 | − | 0.0107580i | ||||
\(787\) | 4.82403e6 | + | 4.82403e6i | 0.277634 | + | 0.277634i | 0.832164 | − | 0.554530i | \(-0.187102\pi\) |
−0.554530 | + | 0.832164i | \(0.687102\pi\) | |||||||
\(788\) | −3.14217e6 | − | 3.25482e7i | −0.180266 | − | 1.86729i | ||||
\(789\) | 1.91975e7i | 1.09788i | ||||||||
\(790\) | 419736. | + | 1.05575e7i | 0.0239281 | + | 0.601858i | ||||
\(791\) | 5.02514e6i | 0.285567i | ||||||||
\(792\) | 2.78022e6 | − | 1.09642e7i | 0.157495 | − | 0.621104i | ||||
\(793\) | −4.40177e6 | − | 4.40177e6i | −0.248568 | − | 0.248568i | ||||
\(794\) | 6.41736e6 | − | 1.78808e7i | 0.361248 | − | 1.00655i | ||||
\(795\) | 1.03961e7 | − | 2.45151e7i | 0.583382 | − | 1.37567i | ||||
\(796\) | −7.38108e6 | + | 8.95849e6i | −0.412893 | + | 0.501132i | ||||
\(797\) | 3.09154e6 | − | 3.09154e6i | 0.172397 | − | 0.172397i | −0.615635 | − | 0.788031i | \(-0.711100\pi\) |
0.788031 | + | 0.615635i | \(0.211100\pi\) | |||||||
\(798\) | 3.26513e7 | − | 1.54043e7i | 1.81507 | − | 0.856316i | ||||
\(799\) | 851292. | 0.0471750 | ||||||||
\(800\) | 3.04229e6 | − | 1.78445e7i | 0.168065 | − | 0.985776i | ||||
\(801\) | 3.20037e6 | 0.176246 | ||||||||
\(802\) | 3.08605e7 | − | 1.45594e7i | 1.69421 | − | 0.799298i | ||||
\(803\) | −4.91913e6 | + | 4.91913e6i | −0.269215 | + | 0.269215i | ||||
\(804\) | −2.24707e6 | + | 2.72729e6i | −0.122596 | + | 0.148796i | ||||
\(805\) | −1.00199e7 | + | 2.36279e7i | −0.544970 | + | 1.28509i | ||||
\(806\) | 603437. | − | 1.68136e6i | 0.0327186 | − | 0.0911642i | ||||
\(807\) | 2.36240e7 | + | 2.36240e7i | 1.27694 | + | 1.27694i | ||||
\(808\) | 5.41389e6 | − | 2.13505e7i | 0.291730 | − | 1.15048i | ||||
\(809\) | 8.65788e6i | 0.465093i | 0.972585 | + | 0.232547i | \(0.0747059\pi\) | ||||
−0.972585 | + | 0.232547i | \(0.925294\pi\) | |||||||
\(810\) | 526113. | + | 1.32332e7i | 0.0281751 | + | 0.708683i | ||||
\(811\) | − | 1.67690e7i | − | 0.895272i | −0.894216 | − | 0.447636i | \(-0.852266\pi\) | ||
0.894216 | − | 0.447636i | \(-0.147734\pi\) | |||||||
\(812\) | −2.18075e6 | − | 2.25894e7i | −0.116069 | − | 1.20230i | ||||
\(813\) | 5.59798e6 | + | 5.59798e6i | 0.297033 | + | 0.297033i | ||||
\(814\) | −3.07789e6 | − | 1.10465e6i | −0.162814 | − | 0.0584335i | ||||
\(815\) | −1.04286e7 | − | 2.57862e7i | −0.549959 | − | 1.35986i | ||||
\(816\) | −1.70872e7 | + | 3.33020e6i | −0.898352 | + | 0.175083i | ||||
\(817\) | 1.82011e7 | − | 1.82011e7i | 0.953988 | − | 0.953988i | ||||
\(818\) | 6.84558e6 | + | 1.45100e7i | 0.357706 | + | 0.758203i | ||||
\(819\) | 1.88998e7 | 0.984570 | ||||||||
\(820\) | −5.07690e6 | − | 9.73861e6i | −0.263672 | − | 0.505781i | ||||
\(821\) | −1.54461e7 | −0.799764 | −0.399882 | − | 0.916567i | \(-0.630949\pi\) | ||||
−0.399882 | + | 0.916567i | \(0.630949\pi\) | |||||||
\(822\) | 9.18772e6 | + | 1.94745e7i | 0.474273 | + | 1.00528i | ||||
\(823\) | −3.86609e6 | + | 3.86609e6i | −0.198963 | + | 0.198963i | −0.799555 | − | 0.600592i | \(-0.794931\pi\) |
0.600592 | + | 0.799555i | \(0.294931\pi\) | |||||||
\(824\) | 4.73799e6 | + | 7.95712e6i | 0.243095 | + | 0.408261i | ||||
\(825\) | 254203. | − | 1.51583e7i | 0.0130031 | − | 0.775380i | ||||
\(826\) | −455779. | − | 163578.i | −0.0232437 | − | 0.00834208i | ||||
\(827\) | 5.10258e6 | + | 5.10258e6i | 0.259434 | + | 0.259434i | 0.824824 | − | 0.565390i | \(-0.191274\pi\) |
−0.565390 | + | 0.824824i | \(0.691274\pi\) | |||||||
\(828\) | −3.95612e7 | + | 3.81920e6i | −2.00537 | + | 0.193596i | ||||
\(829\) | 3.45153e7i | 1.74432i | 0.489222 | + | 0.872159i | \(0.337281\pi\) | ||||
−0.489222 | + | 0.872159i | \(0.662719\pi\) | |||||||
\(830\) | 1.44090e7 | + | 1.33071e7i | 0.726002 | + | 0.670482i | ||||
\(831\) | 2.38032e6i | 0.119573i | ||||||||
\(832\) | 5.29369e6 | + | 1.78226e7i | 0.265125 | + | 0.892612i | ||||
\(833\) | 2.31814e6 | + | 2.31814e6i | 0.115752 | + | 0.115752i | ||||
\(834\) | −1.39640e7 | + | 3.89080e7i | −0.695174 | + | 1.93697i | ||||
\(835\) | −1.71516e7 | + | 6.93654e6i | −0.851312 | + | 0.344292i | ||||
\(836\) | 1.26864e7 | + | 1.04526e7i | 0.627802 | + | 0.517259i | ||||
\(837\) | 524592. | − | 524592.i | 0.0258826 | − | 0.0258826i | ||||
\(838\) | −3.15461e7 | + | 1.48829e7i | −1.55180 | + | 0.732111i | ||||
\(839\) | −2.12861e6 | −0.104398 | −0.0521988 | − | 0.998637i | \(-0.516623\pi\) | ||||
−0.0521988 | + | 0.998637i | \(0.516623\pi\) | |||||||
\(840\) | 2.08426e7 | + | 1.58257e7i | 1.01919 | + | 0.773862i | ||||
\(841\) | −2.03382e7 | −0.991567 | ||||||||
\(842\) | −3.20980e7 | + | 1.51432e7i | −1.56026 | + | 0.736103i | ||||
\(843\) | −269854. | + | 269854.i | −0.0130785 | + | 0.0130785i | ||||
\(844\) | 5.06309e6 | + | 4.17159e6i | 0.244658 | + | 0.201579i | ||||
\(845\) | −2.54057e6 | − | 1.07738e6i | −0.122402 | − | 0.0519071i | ||||
\(846\) | 669459. | − | 1.86532e6i | 0.0321587 | − | 0.0896041i | ||||
\(847\) | −9.23683e6 | − | 9.23683e6i | −0.442400 | − | 0.442400i | ||||
\(848\) | −1.16946e7 | + | 1.73564e7i | −0.558463 | + | 0.828841i | ||||
\(849\) | − | 1.69117e7i | − | 0.805226i | ||||||
\(850\) | −1.17527e7 | + | 5.30565e6i | −0.557944 | + | 0.251879i | ||||
\(851\) | 1.14905e7i | 0.543894i | ||||||||
\(852\) | −7.63746e6 | + | 737312.i | −0.360454 | + | 0.0347978i | ||||
\(853\) | −1.38712e7 | − | 1.38712e7i | −0.652742 | − | 0.652742i | 0.300910 | − | 0.953652i | \(-0.402709\pi\) |
−0.953652 | + | 0.300910i | \(0.902709\pi\) | |||||||
\(854\) | 6.48193e6 | + | 2.32634e6i | 0.304130 | + | 0.109151i | ||||
\(855\) | 3.81263e7 | + | 1.61683e7i | 1.78365 | + | 0.756394i | ||||
\(856\) | −1.74623e7 | + | 1.03977e7i | −0.814547 | + | 0.485014i | ||||
\(857\) | −6.68264e6 | + | 6.68264e6i | −0.310811 | + | 0.310811i | −0.845224 | − | 0.534413i | \(-0.820533\pi\) |
0.534413 | + | 0.845224i | \(0.320533\pi\) | |||||||
\(858\) | 6.64382e6 | + | 1.40824e7i | 0.308106 | + | 0.653068i | ||||
\(859\) | 1.52768e7 | 0.706397 | 0.353199 | − | 0.935548i | \(-0.385094\pi\) | ||||
0.353199 | + | 0.935548i | \(0.385094\pi\) | |||||||
\(860\) | 1.77983e7 | + | 5.60023e6i | 0.820601 | + | 0.258202i | ||||
\(861\) | 1.58774e7 | 0.729914 | ||||||||
\(862\) | −1.11886e7 | − | 2.37156e7i | −0.512871 | − | 1.08709i | ||||
\(863\) | 1.24879e7 | − | 1.24879e7i | 0.570773 | − | 0.570773i | −0.361572 | − | 0.932344i | \(-0.617760\pi\) |
0.932344 | + | 0.361572i | \(0.117760\pi\) | |||||||
\(864\) | −1.16988e6 | + | 7.63223e6i | −0.0533159 | + | 0.347830i | ||||
\(865\) | −954162. | + | 385887.i | −0.0433593 | + | 0.0175356i | ||||
\(866\) | 2.16649e7 | + | 7.77547e6i | 0.981663 | + | 0.352316i | ||||
\(867\) | −1.46307e7 | − | 1.46307e7i | −0.661023 | − | 0.661023i | ||||
\(868\) | 189903. | + | 1.96711e6i | 0.00855523 | + | 0.0886196i | ||||
\(869\) | − | 6.95485e6i | − | 0.312420i | ||||||
\(870\) | 3.19590e7 | − | 3.46054e7i | 1.43151 | − | 1.55005i | ||||
\(871\) | − | 2.68837e6i | − | 0.120073i | ||||||
\(872\) | 1.42972e7 | + | 3.62537e6i | 0.636736 | + | 0.161459i | ||||
\(873\) | −2.05395e7 | − | 2.05395e7i | −0.912127 | − | 0.912127i | ||||
\(874\) | 1.95110e7 | − | 5.43637e7i | 0.863974 | − | 2.40730i | ||||
\(875\) | 1.77166e7 | + | 7.86613e6i | 0.782275 | + | 0.347329i | ||||
\(876\) | 1.58499e7 | − | 1.92372e7i | 0.697858 | − | 0.846996i | ||||
\(877\) | 8.82023e6 | − | 8.82023e6i | 0.387241 | − | 0.387241i | −0.486461 | − | 0.873702i | \(-0.661713\pi\) |
0.873702 | + | 0.486461i | \(0.161713\pi\) | |||||||
\(878\) | 1.77342e7 | − | 8.36666e6i | 0.776380 | − | 0.366282i | ||||
\(879\) | −4.60697e7 | −2.01114 | ||||||||
\(880\) | −2.46759e6 | + | 1.16571e7i | −0.107415 | + | 0.507438i | ||||
\(881\) | −8.35484e6 | −0.362659 | −0.181329 | − | 0.983422i | \(-0.558040\pi\) | ||||
−0.181329 | + | 0.983422i | \(0.558040\pi\) | |||||||
\(882\) | 6.90243e6 | − | 3.25644e6i | 0.298765 | − | 0.140952i | ||||
\(883\) | −4.76596e6 | + | 4.76596e6i | −0.205707 | + | 0.205707i | −0.802440 | − | 0.596733i | \(-0.796465\pi\) |
0.596733 | + | 0.802440i | \(0.296465\pi\) | |||||||
\(884\) | 8.42170e6 | − | 1.02215e7i | 0.362467 | − | 0.439930i | ||||
\(885\) | −376841. | − | 931796.i | −0.0161734 | − | 0.0399911i | ||||
\(886\) | 2.20447e6 | − | 6.14235e6i | 0.0943452 | − | 0.262876i | ||||
\(887\) | −2.28968e7 | − | 2.28968e7i | −0.977161 | − | 0.977161i | 0.0225840 | − | 0.999745i | \(-0.492811\pi\) |
−0.999745 | + | 0.0225840i | \(0.992811\pi\) | |||||||
\(888\) | 1.13573e7 | + | 2.87990e6i | 0.483328 | + | 0.122559i | ||||
\(889\) | − | 2.93239e7i | − | 1.24442i | ||||||
\(890\) | −3.36865e6 | + | 133928.i | −0.142555 | + | 0.00566755i | ||||
\(891\) | − | 8.71748e6i | − | 0.367872i | ||||||
\(892\) | 2.72890e6 | + | 2.82674e7i | 0.114835 | + | 1.18953i | ||||
\(893\) | 2.03650e6 | + | 2.03650e6i | 0.0854585 | + | 0.0854585i | ||||
\(894\) | −2.04565e7 | − | 7.34176e6i | −0.856025 | − | 0.307225i | ||||
\(895\) | −1.30729e7 | + | 3.08271e7i | −0.545524 | + | 1.28640i | ||||
\(896\) | −1.37094e7 | − | 1.53334e7i | −0.570492 | − | 0.638068i | ||||
\(897\) | 3.86879e7 | − | 3.86879e7i | 1.60544 | − | 1.60544i | ||||
\(898\) | 4.19588e6 | + | 8.89368e6i | 0.173633 | + | 0.368036i | ||||
\(899\) | 3.55721e6 | 0.146795 | ||||||||
\(900\) | 2.38319e6 | + | 2.99245e7i | 0.0980737 | + | 1.23146i | ||||
\(901\) | 1.49084e7 | 0.611814 | ||||||||
\(902\) | 3.08452e6 | + | 6.53802e6i | 0.126233 | + | 0.267565i | ||||
\(903\) | −1.90740e7 | + | 1.90740e7i | −0.778434 | + | 0.778434i | ||||
\(904\) | 7.04369e6 | − | 4.19409e6i | 0.286668 | − | 0.170694i | ||||
\(905\) | −404596. | + | 954078.i | −0.0164210 | + | 0.0387224i | ||||
\(906\) | −4.98108e7 | − | 1.78769e7i | −2.01606 | − | 0.723557i | ||||
\(907\) | −1.83453e7 | − | 1.83453e7i | −0.740467 | − | 0.740467i | 0.232201 | − | 0.972668i | \(-0.425407\pi\) |
−0.972668 | + | 0.232201i | \(0.925407\pi\) | |||||||
\(908\) | 2.11354e7 | − | 2.04039e6i | 0.850738 | − | 0.0821292i | ||||
\(909\) | 3.65271e7i | 1.46624i | ||||||||
\(910\) | −1.98936e7 | + | 790910.i | −0.796360 | + | 0.0316609i | ||||
\(911\) | − | 1.68004e6i | − | 0.0670694i | −0.999438 | − | 0.0335347i | \(-0.989324\pi\) | ||
0.999438 | − | 0.0335347i | \(-0.0106764\pi\) | |||||||
\(912\) | −4.88435e7 | − | 3.29102e7i | −1.94455 | − | 1.31022i | ||||
\(913\) | −9.12909e6 | − | 9.12909e6i | −0.362452 | − | 0.362452i | ||||
\(914\) | −1.38436e6 | + | 3.85727e6i | −0.0548131 | + | 0.152727i | ||||
\(915\) | 5.35930e6 | + | 1.32517e7i | 0.211619 | + | 0.523261i | ||||
\(916\) | 6.05704e6 | + | 4.99052e6i | 0.238518 | + | 0.196520i | ||||
\(917\) | −328273. | + | 328273.i | −0.0128917 | + | 0.0128917i | ||||
\(918\) | 4.97446e6 | − | 2.34686e6i | 0.194823 | − | 0.0919138i | ||||
\(919\) | −2.09762e7 | −0.819291 | −0.409645 | − | 0.912245i | \(-0.634348\pi\) | ||||
−0.409645 | + | 0.912245i | \(0.634348\pi\) | |||||||
\(920\) | 4.14817e7 | − | 5.67557e6i | 1.61580 | − | 0.221075i | ||||
\(921\) | 3.72858e7 | 1.44842 | ||||||||
\(922\) | 5.10063e6 | − | 2.40639e6i | 0.197604 | − | 0.0932262i | ||||
\(923\) | 4.12763e6 | − | 4.12763e6i | 0.159477 | − | 0.159477i | ||||
\(924\) | −1.32948e7 | − | 1.09538e7i | −0.512273 | − | 0.422072i | ||||
\(925\) | 8.67748e6 | + | 145521.i | 0.333457 | + | 0.00559204i | ||||
\(926\) | −9.78862e6 | + | 2.72742e7i | −0.375141 | + | 1.04526i | ||||
\(927\) | −1.08596e7 | − | 1.08596e7i | −0.415064 | − | 0.415064i | ||||
\(928\) | −2.98432e7 | + | 2.19103e7i | −1.13756 | + | 0.835177i | ||||
\(929\) | 2.25118e6i | 0.0855797i | 0.999084 | + | 0.0427899i | \(0.0136246\pi\) | ||||
−0.999084 | + | 0.0427899i | \(0.986375\pi\) | |||||||
\(930\) | −2.78303e6 | + | 3.01348e6i | −0.105514 | + | 0.114251i | ||||
\(931\) | 1.10911e7i | 0.419373i | ||||||||
\(932\) | 5.17666e7 | − | 4.99749e6i | 1.95213 | − | 0.188457i | ||||
\(933\) | −3.33872e7 | − | 3.33872e7i | −1.25567 | − | 1.25567i | ||||
\(934\) | 3.45455e7 | + | 1.23983e7i | 1.29576 | + | 0.465045i | ||||
\(935\) | 7.86872e6 | − | 3.18231e6i | 0.294358 | − | 0.119045i | ||||
\(936\) | −1.57741e7 | − | 2.64916e7i | −0.588513 | − | 0.988367i | ||||
\(937\) | −1.78477e7 | + | 1.78477e7i | −0.664099 | + | 0.664099i | −0.956344 | − | 0.292244i | \(-0.905598\pi\) |
0.292244 | + | 0.956344i | \(0.405598\pi\) | |||||||
\(938\) | 1.26901e6 | + | 2.68982e6i | 0.0470930 | + | 0.0998195i | ||||
\(939\) | 4.43234e7 | 1.64047 | ||||||||
\(940\) | −626602. | + | 1.99142e6i | −0.0231298 | + | 0.0735096i | ||||
\(941\) | −1.56180e7 | −0.574979 | −0.287489 | − | 0.957784i | \(-0.592821\pi\) | ||||
−0.287489 | + | 0.957784i | \(0.592821\pi\) | |||||||
\(942\) | 2.02418e7 | + | 4.29049e7i | 0.743227 | + | 1.57536i | ||||
\(943\) | 1.79616e7 | − | 1.79616e7i | 0.657758 | − | 0.657758i | ||||
\(944\) | 151118. | + | 775386.i | 0.00551933 | + | 0.0283197i | ||||
\(945\) | −7.61220e6 | − | 3.22811e6i | −0.277288 | − | 0.117590i | ||||
\(946\) | −1.15598e7 | − | 4.14879e6i | −0.419975 | − | 0.150728i | ||||
\(947\) | 1.89678e7 | + | 1.89678e7i | 0.687292 | + | 0.687292i | 0.961633 | − | 0.274341i | \(-0.0884597\pi\) |
−0.274341 | + | 0.961633i | \(0.588460\pi\) | |||||||
\(948\) | 2.39452e6 | + | 2.48037e7i | 0.0865363 | + | 0.896389i | ||||
\(949\) | 1.89627e7i | 0.683493i | ||||||||
\(950\) | −4.08077e7 | − | 1.54229e7i | −1.46701 | − | 0.554445i | ||||
\(951\) | − | 6.16726e6i | − | 0.221126i | ||||||
\(952\) | −3.60132e6 | + | 1.42023e7i | −0.128786 | + | 0.507887i | ||||
\(953\) | 3.98360e6 | + | 3.98360e6i | 0.142083 | + | 0.142083i | 0.774571 | − | 0.632487i | \(-0.217966\pi\) |
−0.632487 | + | 0.774571i | \(0.717966\pi\) | |||||||
\(954\) | 1.17240e7 | − | 3.26668e7i | 0.417067 | − | 1.16208i | ||||
\(955\) | 1.18499e7 | + | 5.02519e6i | 0.420442 | + | 0.178297i | ||||
\(956\) | 1.67407e7 | − | 2.03184e7i | 0.592420 | − | 0.719025i | ||||
\(957\) | −2.19249e7 | + | 2.19249e7i | −0.773852 | + | 0.773852i | ||||
\(958\) | −2.49092e7 | + | 1.17517e7i | −0.876890 | + | 0.413701i | ||||
\(959\) | 1.81230e7 | 0.636330 | ||||||||
\(960\) | 4.78691e6 | − | 4.24233e7i | 0.167640 | − | 1.48568i | ||||
\(961\) | 2.83194e7 | 0.989180 | ||||||||
\(962\) | −8.06159e6 | + | 3.80331e6i | −0.280856 | + | 0.132503i | ||||
\(963\) | 2.38319e7 | − | 2.38319e7i | 0.828118 | − | 0.828118i | ||||
\(964\) | −6.85847e6 | + | 8.32418e6i | −0.237703 | + | 0.288502i | ||||
\(965\) | −4.55499e7 | + | 1.84215e7i | −1.57459 | + | 0.636805i | ||||
\(966\) | −2.04466e7 | + | 5.69708e7i | −0.704984 | + | 1.96431i | ||||
\(967\) | 1.23916e7 | + | 1.23916e7i | 0.426149 | + | 0.426149i | 0.887314 | − | 0.461166i | \(-0.152569\pi\) |
−0.461166 | + | 0.887314i | \(0.652569\pi\) | |||||||
\(968\) | −5.23790e6 | + | 2.06564e7i | −0.179667 | + | 0.708544i | ||||
\(969\) | 4.19544e7i | 1.43538i | ||||||||
\(970\) | 2.24791e7 | + | 2.07600e7i | 0.767096 | + | 0.708433i | ||||
\(971\) | − | 5.72516e6i | − | 0.194867i | −0.995242 | − | 0.0974337i | \(-0.968937\pi\) | ||
0.995242 | − | 0.0974337i | \(-0.0310634\pi\) | |||||||
\(972\) | 3.99740e6 | + | 4.14071e7i | 0.135710 | + | 1.40576i | ||||
\(973\) | 2.46013e7 | + | 2.46013e7i | 0.833059 | + | 0.833059i | ||||
\(974\) | −1.91985e7 | − | 6.89030e6i | −0.648442 | − | 0.232724i | ||||
\(975\) | −2.87267e7 | − | 2.97066e7i | −0.967775 | − | 1.00079i | ||||
\(976\) | −2.14915e6 | − | 1.10273e7i | −0.0722174 | − | 0.370547i | ||||
\(977\) | 4.31515e6 | − | 4.31515e6i | 0.144630 | − | 0.144630i | −0.631084 | − | 0.775714i | \(-0.717390\pi\) |
0.775714 | + | 0.631084i | \(0.217390\pi\) | |||||||
\(978\) | −2.79905e7 | − | 5.93294e7i | −0.935759 | − | 1.98346i | ||||
\(979\) | 2.21913e6 | 0.0739990 | ||||||||
\(980\) | −7.12911e6 | + | 3.71653e6i | −0.237121 | + | 0.123615i | ||||
\(981\) | −2.44601e7 | −0.811494 | ||||||||
\(982\) | −1.44521e7 | − | 3.06330e7i | −0.478246 | − | 1.01370i | ||||
\(983\) | −1.85871e7 | + | 1.85871e7i | −0.613520 | + | 0.613520i | −0.943862 | − | 0.330341i | \(-0.892836\pi\) |
0.330341 | + | 0.943862i | \(0.392836\pi\) | |||||||
\(984\) | −1.32516e7 | − | 2.22552e7i | −0.436296 | − | 0.732729i | ||||
\(985\) | −2.14171e7 | − | 5.29569e7i | −0.703347 | − | 1.73913i | ||||
\(986\) | 2.48226e7 | + | 8.90876e6i | 0.813121 | + | 0.291827i | ||||
\(987\) | −2.13416e6 | − | 2.13416e6i | −0.0697323 | − | 0.0697323i | ||||
\(988\) | 4.45990e7 | − | 4.30554e6i | 1.45356 | − | 0.140325i | ||||
\(989\) | 4.31556e7i | 1.40296i | ||||||||
\(990\) | −784974. | − | 1.97443e7i | −0.0254546 | − | 0.640255i | ||||
\(991\) | 2.05031e7i | 0.663187i | 0.943422 | + | 0.331593i | \(0.107586\pi\) | ||||
−0.943422 | + | 0.331593i | \(0.892414\pi\) | |||||||
\(992\) | 2.59878e6 | − | 1.90798e6i | 0.0838476 | − | 0.0615594i | ||||
\(993\) | 5.80933e7 | + | 5.80933e7i | 1.86962 | + | 1.86962i | ||||
\(994\) | −2.18146e6 | + | 6.07824e6i | −0.0700296 | + | 0.195125i | ||||
\(995\) | −7.91667e6 | + | 1.86683e7i | −0.253504 | + | 0.597787i | ||||
\(996\) | 3.57010e7 | + | 2.94148e7i | 1.14034 | + | 0.939546i | ||||
\(997\) | 3.87741e7 | − | 3.87741e7i | 1.23539 | − | 1.23539i | 0.273524 | − | 0.961865i | \(-0.411811\pi\) |
0.961865 | − | 0.273524i | \(-0.0881893\pi\) | |||||||
\(998\) | 5.55290e7 | − | 2.61976e7i | 1.76479 | − | 0.832597i | ||||
\(999\) | −3.70190e6 | −0.117357 |
(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 | 20.6.e.b.3.2 | ✓ | 24 | |
4.3 | odd | 2 | inner | 20.6.e.b.3.5 | yes | 24 | |
5.2 | odd | 4 | inner | 20.6.e.b.7.5 | yes | 24 | |
5.3 | odd | 4 | 100.6.e.e.7.8 | 24 | |||
5.4 | even | 2 | 100.6.e.e.43.11 | 24 | |||
20.3 | even | 4 | 100.6.e.e.7.11 | 24 | |||
20.7 | even | 4 | inner | 20.6.e.b.7.2 | yes | 24 | |
20.19 | odd | 2 | 100.6.e.e.43.8 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
20.6.e.b.3.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
20.6.e.b.3.5 | yes | 24 | 4.3 | odd | 2 | inner | |
20.6.e.b.7.2 | yes | 24 | 20.7 | even | 4 | inner | |
20.6.e.b.7.5 | yes | 24 | 5.2 | odd | 4 | inner | |
100.6.e.e.7.8 | 24 | 5.3 | odd | 4 | |||
100.6.e.e.7.11 | 24 | 20.3 | even | 4 | |||
100.6.e.e.43.8 | 24 | 20.19 | odd | 2 | |||
100.6.e.e.43.11 | 24 | 5.4 | even | 2 |