Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,6,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.09458515289\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 23.2 | ||
Character | \(\chi\) | \(=\) | 38.23 |
Dual form | 38.6.e.b.5.2 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.75877 | − | 1.36808i | −0.664463 | − | 0.241845i | ||||
\(3\) | −1.36581 | − | 7.74591i | −0.0876170 | − | 0.496901i | −0.996761 | − | 0.0804191i | \(-0.974374\pi\) |
0.909144 | − | 0.416482i | \(-0.136737\pi\) | |||||||
\(4\) | 12.2567 | + | 10.2846i | 0.383022 | + | 0.321394i | ||||
\(5\) | −39.1860 | + | 32.8809i | −0.700980 | + | 0.588192i | −0.922052 | − | 0.387066i | \(-0.873489\pi\) |
0.221072 | + | 0.975257i | \(0.429044\pi\) | |||||||
\(6\) | −5.46326 | + | 30.9837i | −0.0619546 | + | 0.351362i | ||||
\(7\) | −9.18601 | + | 15.9106i | −0.0708568 | + | 0.122728i | −0.899277 | − | 0.437379i | \(-0.855907\pi\) |
0.828420 | + | 0.560107i | \(0.189240\pi\) | |||||||
\(8\) | −32.0000 | − | 55.4256i | −0.176777 | − | 0.306186i | ||||
\(9\) | 170.212 | − | 61.9519i | 0.700459 | − | 0.254946i | ||||
\(10\) | 192.275 | − | 69.9823i | 0.608026 | − | 0.221303i | ||||
\(11\) | 375.072 | + | 649.643i | 0.934614 | + | 1.61880i | 0.775321 | + | 0.631568i | \(0.217588\pi\) |
0.159294 | + | 0.987231i | \(0.449078\pi\) | |||||||
\(12\) | 62.9233 | − | 108.986i | 0.126142 | − | 0.218484i | ||||
\(13\) | −90.9619 | + | 515.871i | −0.149280 | + | 0.846608i | 0.814551 | + | 0.580092i | \(0.196984\pi\) |
−0.963831 | + | 0.266516i | \(0.914128\pi\) | |||||||
\(14\) | 56.2951 | − | 47.2372i | 0.0767628 | − | 0.0644116i | ||||
\(15\) | 308.214 | + | 258.622i | 0.353691 | + | 0.296782i | ||||
\(16\) | 44.4539 | + | 252.111i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 1764.94 | + | 642.386i | 1.48118 | + | 0.539106i | 0.951111 | − | 0.308848i | \(-0.0999436\pi\) |
0.530070 | + | 0.847954i | \(0.322166\pi\) | |||||||
\(18\) | −724.541 | −0.527087 | ||||||||
\(19\) | −1488.16 | − | 511.338i | −0.945729 | − | 0.324955i | ||||
\(20\) | −818.458 | −0.457532 | ||||||||
\(21\) | 135.789 | + | 49.4231i | 0.0671917 | + | 0.0244558i | ||||
\(22\) | −521.044 | − | 2954.99i | −0.229518 | − | 1.30166i | ||||
\(23\) | −374.217 | − | 314.005i | −0.147504 | − | 0.123770i | 0.566050 | − | 0.824371i | \(-0.308471\pi\) |
−0.713554 | + | 0.700601i | \(0.752915\pi\) | |||||||
\(24\) | −385.616 | + | 323.570i | −0.136655 | + | 0.114668i | ||||
\(25\) | −88.2663 | + | 500.583i | −0.0282452 | + | 0.160187i | ||||
\(26\) | 1047.66 | − | 1814.60i | 0.303939 | − | 0.526437i | ||||
\(27\) | −1668.00 | − | 2889.06i | −0.440338 | − | 0.762688i | ||||
\(28\) | −276.225 | + | 100.538i | −0.0665836 | + | 0.0242345i | ||||
\(29\) | −1228.35 | + | 447.083i | −0.271223 | + | 0.0987173i | −0.474052 | − | 0.880497i | \(-0.657209\pi\) |
0.202828 | + | 0.979214i | \(0.434987\pi\) | |||||||
\(30\) | −804.688 | − | 1393.76i | −0.163239 | − | 0.282739i | ||||
\(31\) | −3275.09 | + | 5672.62i | −0.612095 | + | 1.06018i | 0.378792 | + | 0.925482i | \(0.376340\pi\) |
−0.990887 | + | 0.134698i | \(0.956994\pi\) | |||||||
\(32\) | 177.816 | − | 1008.44i | 0.0306970 | − | 0.174091i | ||||
\(33\) | 4519.80 | − | 3792.56i | 0.722494 | − | 0.606245i | ||||
\(34\) | −5755.17 | − | 4829.17i | −0.853810 | − | 0.716432i | ||||
\(35\) | −163.194 | − | 925.518i | −0.0225182 | − | 0.127707i | ||||
\(36\) | 2723.38 | + | 991.231i | 0.350230 | + | 0.127473i | ||||
\(37\) | −8297.48 | −0.996419 | −0.498209 | − | 0.867057i | \(-0.666009\pi\) | ||||
−0.498209 | + | 0.867057i | \(0.666009\pi\) | |||||||
\(38\) | 4894.12 | + | 3957.93i | 0.549813 | + | 0.444641i | ||||
\(39\) | 4120.13 | 0.433759 | ||||||||
\(40\) | 3076.40 | + | 1119.72i | 0.304013 | + | 0.110652i | ||||
\(41\) | 1497.47 | + | 8492.59i | 0.139123 | + | 0.789007i | 0.971899 | + | 0.235397i | \(0.0756390\pi\) |
−0.832776 | + | 0.553610i | \(0.813250\pi\) | |||||||
\(42\) | −442.784 | − | 371.540i | −0.0387319 | − | 0.0324999i | ||||
\(43\) | 10710.7 | − | 8987.33i | 0.883377 | − | 0.741241i | −0.0834935 | − | 0.996508i | \(-0.526608\pi\) |
0.966871 | + | 0.255267i | \(0.0821633\pi\) | |||||||
\(44\) | −2084.18 | + | 11819.9i | −0.162294 | + | 0.920415i | ||||
\(45\) | −4632.87 | + | 8024.36i | −0.341050 | + | 0.590716i | ||||
\(46\) | 977.010 | + | 1692.23i | 0.0680776 | + | 0.117914i | ||||
\(47\) | 15515.2 | − | 5647.07i | 1.02450 | − | 0.372888i | 0.225517 | − | 0.974239i | \(-0.427593\pi\) |
0.798985 | + | 0.601351i | \(0.205371\pi\) | |||||||
\(48\) | 1892.11 | − | 688.673i | 0.118534 | − | 0.0431429i | ||||
\(49\) | 8234.73 | + | 14263.0i | 0.489959 | + | 0.848633i | ||||
\(50\) | 1016.61 | − | 1760.82i | 0.0575082 | − | 0.0996071i | ||||
\(51\) | 2565.29 | − | 14548.5i | 0.138105 | − | 0.783235i | ||||
\(52\) | −6420.42 | + | 5387.37i | −0.329272 | + | 0.276292i | ||||
\(53\) | −6629.99 | − | 5563.22i | −0.324207 | − | 0.272042i | 0.466127 | − | 0.884718i | \(-0.345649\pi\) |
−0.790335 | + | 0.612675i | \(0.790093\pi\) | |||||||
\(54\) | 2317.16 | + | 13141.3i | 0.108136 | + | 0.613272i | ||||
\(55\) | −36058.4 | − | 13124.2i | −1.60731 | − | 0.585013i | ||||
\(56\) | 1175.81 | 0.0501033 | ||||||||
\(57\) | −1928.22 | + | 12225.6i | −0.0786086 | + | 0.498405i | ||||
\(58\) | 5228.73 | 0.204092 | ||||||||
\(59\) | 15260.6 | + | 5554.40i | 0.570743 | + | 0.207734i | 0.611239 | − | 0.791446i | \(-0.290671\pi\) |
−0.0404956 | + | 0.999180i | \(0.512894\pi\) | |||||||
\(60\) | 1117.86 | + | 6339.71i | 0.0400876 | + | 0.227348i | ||||
\(61\) | 683.426 | + | 573.462i | 0.0235162 | + | 0.0197324i | 0.654470 | − | 0.756088i | \(-0.272892\pi\) |
−0.630954 | + | 0.775820i | \(0.717336\pi\) | |||||||
\(62\) | 20070.9 | − | 16841.5i | 0.663113 | − | 0.556418i | ||||
\(63\) | −577.870 | + | 3277.26i | −0.0183434 | + | 0.104030i | ||||
\(64\) | −2048.00 | + | 3547.24i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −13397.9 | − | 23205.8i | −0.393326 | − | 0.681260i | ||||
\(66\) | −22177.4 | + | 8071.92i | −0.626688 | + | 0.228096i | ||||
\(67\) | −16715.7 | + | 6084.02i | −0.454923 | + | 0.165579i | −0.559311 | − | 0.828958i | \(-0.688934\pi\) |
0.104387 | + | 0.994537i | \(0.466712\pi\) | |||||||
\(68\) | 15025.7 | + | 26025.3i | 0.394060 | + | 0.682532i | ||||
\(69\) | −1921.15 | + | 3327.52i | −0.0485778 | + | 0.0841392i | ||||
\(70\) | −652.775 | + | 3702.07i | −0.0159228 | + | 0.0903025i | ||||
\(71\) | 36445.9 | − | 30581.7i | 0.858030 | − | 0.719973i | −0.103513 | − | 0.994628i | \(-0.533008\pi\) |
0.961543 | + | 0.274656i | \(0.0885638\pi\) | |||||||
\(72\) | −8880.49 | − | 7451.62i | −0.201886 | − | 0.169402i | ||||
\(73\) | −3673.83 | − | 20835.3i | −0.0806886 | − | 0.457608i | −0.998204 | − | 0.0599074i | \(-0.980919\pi\) |
0.917515 | − | 0.397700i | \(-0.130192\pi\) | |||||||
\(74\) | 31188.3 | + | 11351.6i | 0.662083 | + | 0.240979i | ||||
\(75\) | 3998.03 | 0.0820716 | ||||||||
\(76\) | −12981.1 | − | 21572.5i | −0.257797 | − | 0.428417i | ||||
\(77\) | −13781.6 | −0.264895 | ||||||||
\(78\) | −15486.6 | − | 5636.66i | −0.288217 | − | 0.104902i | ||||
\(79\) | −14794.0 | − | 83900.8i | −0.266696 | − | 1.51251i | −0.764161 | − | 0.645026i | \(-0.776847\pi\) |
0.497464 | − | 0.867484i | \(-0.334264\pi\) | |||||||
\(80\) | −10031.6 | − | 8417.52i | −0.175245 | − | 0.147048i | ||||
\(81\) | 13617.9 | − | 11426.8i | 0.230620 | − | 0.193513i | ||||
\(82\) | 5989.89 | − | 33970.4i | 0.0983749 | − | 0.557912i | ||||
\(83\) | −22362.8 | + | 38733.5i | −0.356312 | + | 0.617150i | −0.987342 | − | 0.158608i | \(-0.949299\pi\) |
0.631030 | + | 0.775759i | \(0.282633\pi\) | |||||||
\(84\) | 1156.03 | + | 2002.30i | 0.0178760 | + | 0.0309621i | ||||
\(85\) | −90283.2 | + | 32860.4i | −1.35538 | + | 0.493316i | ||||
\(86\) | −52554.4 | + | 19128.2i | −0.766237 | + | 0.278887i | ||||
\(87\) | 5140.76 | + | 8904.07i | 0.0728165 | + | 0.126122i | ||||
\(88\) | 24004.6 | − | 41577.1i | 0.330436 | − | 0.572332i | ||||
\(89\) | −15572.0 | + | 88313.0i | −0.208386 | + | 1.18182i | 0.683636 | + | 0.729823i | \(0.260398\pi\) |
−0.892022 | + | 0.451993i | \(0.850713\pi\) | |||||||
\(90\) | 28391.9 | − | 23823.6i | 0.369477 | − | 0.310028i | ||||
\(91\) | −7372.25 | − | 6186.05i | −0.0933247 | − | 0.0783087i | ||||
\(92\) | −1357.25 | − | 7697.34i | −0.0167182 | − | 0.0948137i | ||||
\(93\) | 48412.8 | + | 17620.8i | 0.580434 | + | 0.211261i | ||||
\(94\) | −66043.7 | −0.770924 | ||||||||
\(95\) | 75128.4 | − | 28895.0i | 0.854073 | − | 0.328483i | ||||
\(96\) | −8054.18 | −0.0891955 | ||||||||
\(97\) | 55159.8 | + | 20076.5i | 0.595241 | + | 0.216650i | 0.622033 | − | 0.782991i | \(-0.286307\pi\) |
−0.0267918 | + | 0.999641i | \(0.508529\pi\) | |||||||
\(98\) | −11439.6 | − | 64877.0i | −0.120322 | − | 0.682379i | ||||
\(99\) | 104088. | + | 87340.3i | 1.06737 | + | 0.895626i | ||||
\(100\) | −6230.15 | + | 5227.72i | −0.0623015 | + | 0.0522772i | ||||
\(101\) | −27572.9 | + | 156374.i | −0.268955 | + | 1.52532i | 0.488578 | + | 0.872520i | \(0.337516\pi\) |
−0.757532 | + | 0.652797i | \(0.773595\pi\) | |||||||
\(102\) | −29545.8 | + | 51174.8i | −0.281187 | + | 0.487030i | ||||
\(103\) | −61427.5 | − | 106395.i | −0.570518 | − | 0.988167i | −0.996513 | − | 0.0834409i | \(-0.973409\pi\) |
0.425994 | − | 0.904726i | \(-0.359924\pi\) | |||||||
\(104\) | 31503.2 | − | 11466.2i | 0.285609 | − | 0.103953i | ||||
\(105\) | −6946.09 | + | 2528.17i | −0.0614847 | + | 0.0223786i | ||||
\(106\) | 17309.7 | + | 29981.2i | 0.149632 | + | 0.259170i | ||||
\(107\) | 31378.7 | − | 54349.4i | 0.264957 | − | 0.458918i | −0.702596 | − | 0.711589i | \(-0.747976\pi\) |
0.967552 | + | 0.252671i | \(0.0813090\pi\) | |||||||
\(108\) | 9268.64 | − | 52565.1i | 0.0764639 | − | 0.433648i | ||||
\(109\) | −4623.87 | + | 3879.88i | −0.0372768 | + | 0.0312790i | −0.661236 | − | 0.750178i | \(-0.729968\pi\) |
0.623959 | + | 0.781457i | \(0.285523\pi\) | |||||||
\(110\) | 117580. | + | 98661.6i | 0.926516 | + | 0.777439i | ||||
\(111\) | 11332.8 | + | 64271.6i | 0.0873032 | + | 0.495121i | ||||
\(112\) | −4419.59 | − | 1608.60i | −0.0332918 | − | 0.0121172i | ||||
\(113\) | 267983. | 1.97429 | 0.987147 | − | 0.159814i | \(-0.0510895\pi\) | ||||
0.987147 | + | 0.159814i | \(0.0510895\pi\) | |||||||
\(114\) | 23973.3 | − | 43315.2i | 0.172769 | − | 0.312161i | ||||
\(115\) | 24988.8 | 0.176198 | ||||||||
\(116\) | −19653.6 | − | 7153.33i | −0.135612 | − | 0.0493586i | ||||
\(117\) | 16476.4 | + | 93442.4i | 0.111275 | + | 0.631073i | ||||
\(118\) | −49762.1 | − | 41755.4i | −0.328999 | − | 0.276063i | ||||
\(119\) | −26433.5 | + | 22180.4i | −0.171115 | + | 0.143582i | ||||
\(120\) | 4471.45 | − | 25358.8i | 0.0283462 | − | 0.160759i | ||||
\(121\) | −200832. | + | 347851.i | −1.24701 | + | 2.15988i | ||||
\(122\) | −1784.30 | − | 3090.50i | −0.0108535 | − | 0.0187987i | ||||
\(123\) | 63737.6 | − | 23198.6i | 0.379868 | − | 0.138261i | ||||
\(124\) | −98482.5 | + | 35844.7i | −0.575181 | + | 0.209349i | ||||
\(125\) | −92928.4 | − | 160957.i | −0.531953 | − | 0.921370i | ||||
\(126\) | 6655.64 | − | 11527.9i | 0.0373477 | − | 0.0646881i | ||||
\(127\) | 40540.2 | − | 229915.i | 0.223037 | − | 1.26491i | −0.643365 | − | 0.765559i | \(-0.722462\pi\) |
0.866402 | − | 0.499347i | \(-0.166427\pi\) | |||||||
\(128\) | 12550.9 | − | 10531.4i | 0.0677094 | − | 0.0568149i | ||||
\(129\) | −84243.9 | − | 70689.0i | −0.445722 | − | 0.374005i | ||||
\(130\) | 18612.1 | + | 105555.i | 0.0965912 | + | 0.547796i | ||||
\(131\) | −198060. | − | 72088.0i | −1.00837 | − | 0.367016i | −0.215562 | − | 0.976490i | \(-0.569158\pi\) |
−0.792806 | + | 0.609475i | \(0.791380\pi\) | |||||||
\(132\) | 94402.9 | 0.471575 | ||||||||
\(133\) | 21806.0 | − | 18980.5i | 0.106892 | − | 0.0930418i | ||||
\(134\) | 71154.0 | 0.342324 | ||||||||
\(135\) | 160357. | + | 58365.2i | 0.757275 | + | 0.275626i | ||||
\(136\) | −20873.5 | − | 118379.i | −0.0967715 | − | 0.548818i | ||||
\(137\) | −311356. | − | 261259.i | −1.41728 | − | 1.18924i | −0.952777 | − | 0.303670i | \(-0.901788\pi\) |
−0.464505 | − | 0.885571i | \(-0.653768\pi\) | |||||||
\(138\) | 11773.5 | − | 9879.11i | 0.0526267 | − | 0.0441591i | ||||
\(139\) | 26275.7 | − | 149017.i | 0.115350 | − | 0.654181i | −0.871227 | − | 0.490881i | \(-0.836675\pi\) |
0.986576 | − | 0.163300i | \(-0.0522139\pi\) | |||||||
\(140\) | 7518.36 | − | 13022.2i | 0.0324193 | − | 0.0561518i | ||||
\(141\) | −64932.6 | − | 112467.i | −0.275052 | − | 0.476404i | ||||
\(142\) | −178830. | + | 65088.8i | −0.744251 | + | 0.270885i | ||||
\(143\) | −369249. | + | 134396.i | −1.51001 | + | 0.549598i | ||||
\(144\) | 23185.3 | + | 40158.2i | 0.0931766 | + | 0.161387i | ||||
\(145\) | 33433.6 | − | 57908.7i | 0.132057 | − | 0.228730i | ||||
\(146\) | −14695.3 | + | 83341.4i | −0.0570555 | + | 0.323578i | ||||
\(147\) | 99232.7 | − | 83266.1i | 0.378758 | − | 0.317815i | ||||
\(148\) | −101700. | − | 85336.3i | −0.381651 | − | 0.320243i | ||||
\(149\) | −2032.46 | − | 11526.6i | −0.00749990 | − | 0.0425340i | 0.980828 | − | 0.194875i | \(-0.0624300\pi\) |
−0.988328 | + | 0.152341i | \(0.951319\pi\) | |||||||
\(150\) | −15027.7 | − | 5469.63i | −0.0545335 | − | 0.0198486i | ||||
\(151\) | 3916.30 | 0.0139776 | 0.00698882 | − | 0.999976i | \(-0.497775\pi\) | ||||
0.00698882 | + | 0.999976i | \(0.497775\pi\) | |||||||
\(152\) | 19280.0 | + | 98845.2i | 0.0676860 | + | 0.347014i | ||||
\(153\) | 340211. | 1.17495 | ||||||||
\(154\) | 51802.0 | + | 18854.4i | 0.176013 | + | 0.0640635i | ||||
\(155\) | −58183.5 | − | 329975.i | −0.194523 | − | 1.10319i | ||||
\(156\) | 50499.2 | + | 42373.9i | 0.166140 | + | 0.139408i | ||||
\(157\) | 155881. | − | 130800.i | 0.504712 | − | 0.423504i | −0.354552 | − | 0.935036i | \(-0.615367\pi\) |
0.859264 | + | 0.511533i | \(0.170922\pi\) | |||||||
\(158\) | −59175.9 | + | 335603.i | −0.188583 | + | 1.06951i | ||||
\(159\) | −34036.9 | + | 58953.6i | −0.106772 | + | 0.184934i | ||||
\(160\) | 26190.7 | + | 45363.6i | 0.0808810 | + | 0.140090i | ||||
\(161\) | 8433.57 | − | 3069.57i | 0.0256417 | − | 0.00933282i | ||||
\(162\) | −66819.3 | + | 24320.2i | −0.200039 | + | 0.0728082i | ||||
\(163\) | −31455.9 | − | 54483.2i | −0.0927327 | − | 0.160618i | 0.815927 | − | 0.578154i | \(-0.196227\pi\) |
−0.908660 | + | 0.417537i | \(0.862894\pi\) | |||||||
\(164\) | −68988.8 | + | 119492.i | −0.200295 | + | 0.346920i | ||||
\(165\) | −52409.7 | + | 297230.i | −0.149866 | + | 0.849931i | ||||
\(166\) | 137047. | − | 114996.i | 0.386011 | − | 0.323901i | ||||
\(167\) | 131396. | + | 110255.i | 0.364579 | + | 0.305918i | 0.806613 | − | 0.591080i | \(-0.201298\pi\) |
−0.442034 | + | 0.896998i | \(0.645743\pi\) | |||||||
\(168\) | −1605.94 | − | 9107.71i | −0.00438990 | − | 0.0248964i | ||||
\(169\) | 91053.0 | + | 33140.6i | 0.245232 | + | 0.0892572i | ||||
\(170\) | 384309. | 1.01990 | ||||||||
\(171\) | −284981. | + | 5159.07i | −0.745291 | + | 0.0134922i | ||||
\(172\) | 223709. | 0.576583 | ||||||||
\(173\) | 506034. | + | 184181.i | 1.28548 | + | 0.467875i | 0.892240 | − | 0.451562i | \(-0.149133\pi\) |
0.393237 | + | 0.919437i | \(0.371355\pi\) | |||||||
\(174\) | −7141.48 | − | 40501.3i | −0.0178819 | − | 0.101414i | ||||
\(175\) | −7153.78 | − | 6002.73i | −0.0176580 | − | 0.0148168i | ||||
\(176\) | −147109. | + | 123439.i | −0.357978 | + | 0.300379i | ||||
\(177\) | 22180.8 | − | 125793.i | 0.0532161 | − | 0.301804i | ||||
\(178\) | 179351. | − | 310645.i | 0.424281 | − | 0.734876i | ||||
\(179\) | 84683.7 | + | 146676.i | 0.197545 | + | 0.342159i | 0.947732 | − | 0.319067i | \(-0.103370\pi\) |
−0.750187 | + | 0.661226i | \(0.770036\pi\) | |||||||
\(180\) | −139311. | + | 50705.1i | −0.320482 | + | 0.116646i | ||||
\(181\) | −640634. | + | 233172.i | −1.45350 | + | 0.529029i | −0.943565 | − | 0.331187i | \(-0.892551\pi\) |
−0.509930 | + | 0.860216i | \(0.670329\pi\) | |||||||
\(182\) | 19247.6 | + | 33337.8i | 0.0430722 | + | 0.0746033i | ||||
\(183\) | 3508.56 | − | 6077.00i | 0.00774464 | − | 0.0134141i | ||||
\(184\) | −5428.99 | + | 30789.3i | −0.0118216 | + | 0.0670434i | ||||
\(185\) | 325145. | − | 272829.i | 0.698469 | − | 0.586085i | ||||
\(186\) | −157866. | − | 132465.i | −0.334585 | − | 0.280750i | ||||
\(187\) | 244658. | + | 1.38752e6i | 0.511629 | + | 2.90159i | ||||
\(188\) | 248243. | + | 90353.1i | 0.512251 | + | 0.186444i | ||||
\(189\) | 61289.0 | 0.124804 | ||||||||
\(190\) | −321921. | + | 5827.80i | −0.646942 | + | 0.0117117i | ||||
\(191\) | −322297. | −0.639254 | −0.319627 | − | 0.947544i | \(-0.603558\pi\) | ||||
−0.319627 | + | 0.947544i | \(0.603558\pi\) | |||||||
\(192\) | 30273.8 | + | 11018.8i | 0.0592671 | + | 0.0215715i | ||||
\(193\) | −46858.0 | − | 265745.i | −0.0905505 | − | 0.513537i | −0.996020 | − | 0.0891266i | \(-0.971592\pi\) |
0.905470 | − | 0.424411i | \(-0.139519\pi\) | |||||||
\(194\) | −179867. | − | 150926.i | −0.343120 | − | 0.287912i | ||||
\(195\) | −161451. | + | 135474.i | −0.304057 | + | 0.255134i | ||||
\(196\) | −45758.3 | + | 259508.i | −0.0850804 | + | 0.482515i | ||||
\(197\) | 82745.2 | − | 143319.i | 0.151907 | − | 0.263110i | −0.780022 | − | 0.625753i | \(-0.784792\pi\) |
0.931928 | + | 0.362642i | \(0.118125\pi\) | |||||||
\(198\) | −271755. | − | 470693.i | −0.492623 | − | 0.853247i | ||||
\(199\) | 625906. | − | 227811.i | 1.12041 | − | 0.407795i | 0.285607 | − | 0.958347i | \(-0.407805\pi\) |
0.834801 | + | 0.550551i | \(0.185583\pi\) | |||||||
\(200\) | 30569.7 | − | 11126.4i | 0.0540400 | − | 0.0196690i | ||||
\(201\) | 69956.9 | + | 121169.i | 0.122135 | + | 0.211544i | ||||
\(202\) | 317572. | − | 550051.i | 0.547601 | − | 0.948472i | ||||
\(203\) | 4170.26 | − | 23650.7i | 0.00710270 | − | 0.0402814i | ||||
\(204\) | 181067. | − | 151933.i | 0.304624 | − | 0.255610i | ||||
\(205\) | −337924. | − | 283552.i | −0.561610 | − | 0.471247i | ||||
\(206\) | 85334.1 | + | 483954.i | 0.140105 | + | 0.794577i | ||||
\(207\) | −83149.2 | − | 30263.8i | −0.134875 | − | 0.0490906i | ||||
\(208\) | −134100. | −0.214917 | ||||||||
\(209\) | −225981. | − | 1.15856e6i | −0.357854 | − | 1.83465i | ||||
\(210\) | 29567.5 | 0.0462665 | ||||||||
\(211\) | 781834. | + | 284564.i | 1.20895 | + | 0.440022i | 0.866339 | − | 0.499456i | \(-0.166467\pi\) |
0.342611 | + | 0.939477i | \(0.388689\pi\) | |||||||
\(212\) | −24046.3 | − | 136374.i | −0.0367459 | − | 0.208396i | ||||
\(213\) | −286662. | − | 240538.i | −0.432933 | − | 0.363274i | ||||
\(214\) | −192300. | + | 161358.i | −0.287041 | + | 0.240856i | ||||
\(215\) | −124197. | + | 704354.i | −0.183237 | + | 1.03919i | ||||
\(216\) | −106752. | + | 184900.i | −0.155683 | + | 0.269651i | ||||
\(217\) | −60170.0 | − | 104217.i | −0.0867422 | − | 0.150242i | ||||
\(218\) | 22688.0 | − | 8257.77i | 0.0323337 | − | 0.0117685i | ||||
\(219\) | −156371. | + | 56914.4i | −0.220316 | + | 0.0801884i | ||||
\(220\) | −306980. | − | 531706.i | −0.427616 | − | 0.740653i | ||||
\(221\) | −491931. | + | 852049.i | −0.677522 | + | 1.17350i | ||||
\(222\) | 45331.3 | − | 257086.i | 0.0617327 | − | 0.350104i | ||||
\(223\) | −62790.9 | + | 52687.8i | −0.0845541 | + | 0.0709493i | −0.684085 | − | 0.729402i | \(-0.739798\pi\) |
0.599531 | + | 0.800352i | \(0.295354\pi\) | |||||||
\(224\) | 14411.5 | + | 12092.7i | 0.0191907 | + | 0.0161029i | ||||
\(225\) | 15988.2 | + | 90673.3i | 0.0210544 | + | 0.119405i | ||||
\(226\) | −1.00729e6 | − | 366623.i | −1.31185 | − | 0.477473i | ||||
\(227\) | 71388.9 | 0.0919530 | 0.0459765 | − | 0.998943i | \(-0.485360\pi\) | ||||
0.0459765 | + | 0.998943i | \(0.485360\pi\) | |||||||
\(228\) | −149369. | + | 130014.i | −0.190293 | + | 0.165636i | ||||
\(229\) | 1.56620e6 | 1.97360 | 0.986800 | − | 0.161944i | \(-0.0517763\pi\) | ||||
0.986800 | + | 0.161944i | \(0.0517763\pi\) | |||||||
\(230\) | −93927.2 | − | 34186.7i | −0.117077 | − | 0.0426126i | ||||
\(231\) | 18823.1 | + | 106751.i | 0.0232093 | + | 0.131627i | ||||
\(232\) | 64087.1 | + | 53775.4i | 0.0781719 | + | 0.0655940i | ||||
\(233\) | 373934. | − | 313768.i | 0.451238 | − | 0.378633i | −0.388657 | − | 0.921382i | \(-0.627061\pi\) |
0.839895 | + | 0.542749i | \(0.182617\pi\) | |||||||
\(234\) | 65905.7 | − | 373770.i | 0.0786834 | − | 0.446236i | ||||
\(235\) | −422297. | + | 731440.i | −0.498825 | + | 0.863990i | ||||
\(236\) | 129920. | + | 225028.i | 0.151843 | + | 0.263000i | ||||
\(237\) | −629683. | + | 229186.i | −0.728200 | + | 0.265043i | ||||
\(238\) | 129702. | − | 47207.7i | 0.148424 | − | 0.0540220i | ||||
\(239\) | −775816. | − | 1.34375e6i | −0.878545 | − | 1.52168i | −0.852938 | − | 0.522012i | \(-0.825182\pi\) |
−0.0256064 | − | 0.999672i | \(-0.508152\pi\) | |||||||
\(240\) | −51500.1 | + | 89200.7i | −0.0577138 | + | 0.0999632i | ||||
\(241\) | −107135. | + | 607590.i | −0.118819 | + | 0.673858i | 0.865969 | + | 0.500098i | \(0.166703\pi\) |
−0.984788 | + | 0.173760i | \(0.944408\pi\) | |||||||
\(242\) | 1.23077e6 | − | 1.03274e6i | 1.35095 | − | 1.13358i | ||||
\(243\) | −728102. | − | 610950.i | −0.791000 | − | 0.663728i | ||||
\(244\) | 2478.72 | + | 14057.5i | 0.00266534 | + | 0.0151159i | ||||
\(245\) | −791666. | − | 288143.i | −0.842610 | − | 0.306685i | ||||
\(246\) | −271313. | −0.285846 | ||||||||
\(247\) | 399150. | − | 721188.i | 0.416288 | − | 0.752153i | ||||
\(248\) | 419211. | 0.432817 | ||||||||
\(249\) | 330569. | + | 120317.i | 0.337881 | + | 0.122979i | ||||
\(250\) | 129095. | + | 732133.i | 0.130635 | + | 0.740866i | ||||
\(251\) | −378208. | − | 317354.i | −0.378919 | − | 0.317951i | 0.433359 | − | 0.901221i | \(-0.357328\pi\) |
−0.812278 | + | 0.583271i | \(0.801773\pi\) | |||||||
\(252\) | −40788.1 | + | 34225.3i | −0.0404606 | + | 0.0339505i | ||||
\(253\) | 63633.1 | − | 360881.i | 0.0625003 | − | 0.354457i | ||||
\(254\) | −466924. | + | 808736.i | −0.454111 | + | 0.786543i | ||||
\(255\) | 377844. | + | 654445.i | 0.363883 | + | 0.630264i | ||||
\(256\) | −61583.7 | + | 22414.6i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 1.03692e6 | − | 377407.i | 0.979290 | − | 0.356433i | 0.197726 | − | 0.980257i | \(-0.436644\pi\) |
0.781564 | + | 0.623825i | \(0.214422\pi\) | |||||||
\(258\) | 219945. | + | 380956.i | 0.205715 | + | 0.356308i | ||||
\(259\) | 76220.7 | − | 132018.i | 0.0706031 | − | 0.122288i | ||||
\(260\) | 74448.5 | − | 422218.i | 0.0683003 | − | 0.387350i | ||||
\(261\) | −181382. | + | 152197.i | −0.164813 | + | 0.138295i | ||||
\(262\) | 645840. | + | 541924.i | 0.581262 | + | 0.487737i | ||||
\(263\) | 313531. | + | 1.77812e6i | 0.279506 | + | 1.58516i | 0.724274 | + | 0.689512i | \(0.242175\pi\) |
−0.444768 | + | 0.895646i | \(0.646714\pi\) | |||||||
\(264\) | −354839. | − | 129151.i | −0.313344 | − | 0.114048i | ||||
\(265\) | 442726. | 0.387276 | ||||||||
\(266\) | −107931. | + | 41510.9i | −0.0935277 | + | 0.0359715i | ||||
\(267\) | 705334. | 0.605503 | ||||||||
\(268\) | −267452. | − | 97344.4i | −0.227462 | − | 0.0827893i | ||||
\(269\) | −320527. | − | 1.81780e6i | −0.270074 | − | 1.53167i | −0.754185 | − | 0.656662i | \(-0.771968\pi\) |
0.484111 | − | 0.875007i | \(-0.339143\pi\) | |||||||
\(270\) | −522897. | − | 438763.i | −0.436523 | − | 0.366286i | ||||
\(271\) | −744545. | + | 624748.i | −0.615840 | + | 0.516751i | −0.896493 | − | 0.443058i | \(-0.853893\pi\) |
0.280653 | + | 0.959809i | \(0.409449\pi\) | |||||||
\(272\) | −83493.9 | + | 473517.i | −0.0684278 | + | 0.388073i | ||||
\(273\) | −37847.5 | + | 65553.8i | −0.0307348 | + | 0.0532343i | ||||
\(274\) | 812894. | + | 1.40797e6i | 0.654120 | + | 1.13297i | ||||
\(275\) | −358306. | + | 130413.i | −0.285708 | + | 0.103989i | ||||
\(276\) | −57769.2 | + | 21026.3i | −0.0456482 | + | 0.0166146i | ||||
\(277\) | 93286.0 | + | 161576.i | 0.0730494 | + | 0.126525i | 0.900236 | − | 0.435401i | \(-0.143394\pi\) |
−0.827187 | + | 0.561927i | \(0.810060\pi\) | |||||||
\(278\) | −302631. | + | 524173.i | −0.234856 | + | 0.406782i | ||||
\(279\) | −206028. | + | 1.16844e6i | −0.158459 | + | 0.898664i | ||||
\(280\) | −46075.2 | + | 38661.7i | −0.0351214 | + | 0.0294704i | ||||
\(281\) | −795765. | − | 667727.i | −0.601200 | − | 0.504467i | 0.290631 | − | 0.956835i | \(-0.406135\pi\) |
−0.891831 | + | 0.452368i | \(0.850579\pi\) | |||||||
\(282\) | 90203.4 | + | 511569.i | 0.0675461 | + | 0.383073i | ||||
\(283\) | 180954. | + | 65861.8i | 0.134308 | + | 0.0488841i | 0.408300 | − | 0.912848i | \(-0.366122\pi\) |
−0.273992 | + | 0.961732i | \(0.588344\pi\) | |||||||
\(284\) | 761227. | 0.560039 | ||||||||
\(285\) | −326429. | − | 542473.i | −0.238055 | − | 0.395609i | ||||
\(286\) | 1.57179e6 | 1.13626 | ||||||||
\(287\) | −148878. | − | 54187.3i | −0.106691 | − | 0.0388322i | ||||
\(288\) | −32208.7 | − | 182665.i | −0.0228819 | − | 0.129770i | ||||
\(289\) | 1.61469e6 | + | 1.35488e6i | 1.13722 | + | 0.954238i | ||||
\(290\) | −204893. | + | 171926.i | −0.143065 | + | 0.120045i | ||||
\(291\) | 80173.0 | − | 454684.i | 0.0555003 | − | 0.314758i | ||||
\(292\) | 169254. | − | 293157.i | 0.116167 | − | 0.201207i | ||||
\(293\) | 79585.0 | + | 137845.i | 0.0541579 | + | 0.0938043i | 0.891833 | − | 0.452364i | \(-0.149419\pi\) |
−0.837675 | + | 0.546168i | \(0.816086\pi\) | |||||||
\(294\) | −486908. | + | 177220.i | −0.328533 | + | 0.119576i | ||||
\(295\) | −780634. | + | 284128.i | −0.522267 | + | 0.190090i | ||||
\(296\) | 265519. | + | 459893.i | 0.176144 | + | 0.305090i | ||||
\(297\) | 1.25124e6 | − | 2.16721e6i | 0.823093 | − | 1.42564i | ||||
\(298\) | −8129.82 | + | 46106.5i | −0.00530323 | + | 0.0300761i | ||||
\(299\) | 196025. | − | 164485.i | 0.126804 | − | 0.106402i | ||||
\(300\) | 49002.7 | + | 41118.1i | 0.0314352 | + | 0.0263773i | ||||
\(301\) | 44605.7 | + | 252971.i | 0.0283775 | + | 0.160937i | ||||
\(302\) | −14720.5 | − | 5357.82i | −0.00928762 | − | 0.00338042i | ||||
\(303\) | 1.24892e6 | 0.781496 | ||||||||
\(304\) | 62759.0 | − | 397913.i | 0.0389486 | − | 0.246947i | ||||
\(305\) | −45636.7 | −0.0280908 | ||||||||
\(306\) | −1.27877e6 | − | 465435.i | −0.780711 | − | 0.284155i | ||||
\(307\) | −162138. | − | 919531.i | −0.0981836 | − | 0.556827i | −0.993725 | − | 0.111849i | \(-0.964323\pi\) |
0.895542 | − | 0.444978i | \(-0.146788\pi\) | |||||||
\(308\) | −168918. | − | 141739.i | −0.101461 | − | 0.0851356i | ||||
\(309\) | −740232. | + | 621128.i | −0.441034 | + | 0.370071i | ||||
\(310\) | −232734. | + | 1.31990e6i | −0.137548 | + | 0.780076i | ||||
\(311\) | −49882.6 | + | 86399.2i | −0.0292448 | + | 0.0506534i | −0.880277 | − | 0.474459i | \(-0.842644\pi\) |
0.851033 | + | 0.525113i | \(0.175977\pi\) | |||||||
\(312\) | −131844. | − | 228361.i | −0.0766786 | − | 0.132811i | ||||
\(313\) | 1.87540e6 | − | 682591.i | 1.08202 | − | 0.393822i | 0.261358 | − | 0.965242i | \(-0.415830\pi\) |
0.820658 | + | 0.571420i | \(0.193607\pi\) | |||||||
\(314\) | −764865. | + | 278388.i | −0.437785 | + | 0.159341i | ||||
\(315\) | −85115.1 | − | 147424.i | −0.0483315 | − | 0.0837126i | ||||
\(316\) | 681561. | − | 1.18050e6i | 0.383961 | − | 0.665040i | ||||
\(317\) | −499665. | + | 2.83374e6i | −0.279274 | + | 1.58384i | 0.445775 | + | 0.895145i | \(0.352928\pi\) |
−0.725049 | + | 0.688697i | \(0.758183\pi\) | |||||||
\(318\) | 208590. | − | 175028.i | 0.115671 | − | 0.0970598i | ||||
\(319\) | −751164. | − | 630301.i | −0.413293 | − | 0.346794i | ||||
\(320\) | −36383.7 | − | 206342.i | −0.0198624 | − | 0.112645i | ||||
\(321\) | −463843. | − | 168825.i | −0.251252 | − | 0.0914481i | ||||
\(322\) | −35899.3 | −0.0192951 | ||||||||
\(323\) | −2.29805e6 | − | 1.85846e6i | −1.22561 | − | 0.991166i | ||||
\(324\) | 284431. | 0.150527 | ||||||||
\(325\) | −250207. | − | 91068.0i | −0.131399 | − | 0.0478253i | ||||
\(326\) | 43698.1 | + | 247824.i | 0.0227729 | + | 0.129151i | ||||
\(327\) | 36368.6 | + | 30516.9i | 0.0188086 | + | 0.0157823i | ||||
\(328\) | 422788. | − | 354761.i | 0.216989 | − | 0.182076i | ||||
\(329\) | −52674.2 | + | 298730.i | −0.0268292 | + | 0.152156i | ||||
\(330\) | 603631. | − | 1.04552e6i | 0.305131 | − | 0.528503i | ||||
\(331\) | −593107. | − | 1.02729e6i | −0.297552 | − | 0.515375i | 0.678023 | − | 0.735040i | \(-0.262837\pi\) |
−0.975575 | + | 0.219665i | \(0.929503\pi\) | |||||||
\(332\) | −672452. | + | 244753.i | −0.334824 | + | 0.121866i | ||||
\(333\) | −1.41233e6 | + | 514045.i | −0.697951 | + | 0.254033i | ||||
\(334\) | −343051. | − | 594182.i | −0.168265 | − | 0.291443i | ||||
\(335\) | 454973. | − | 788037.i | 0.221500 | − | 0.383649i | ||||
\(336\) | −6423.74 | + | 36430.9i | −0.00310413 | + | 0.0176044i | ||||
\(337\) | 1.81542e6 | − | 1.52332e6i | 0.870767 | − | 0.730661i | −0.0934921 | − | 0.995620i | \(-0.529803\pi\) |
0.964260 | + | 0.264959i | \(0.0853586\pi\) | |||||||
\(338\) | −296908. | − | 249136.i | −0.141361 | − | 0.118616i | ||||
\(339\) | −366015. | − | 2.07578e6i | −0.172982 | − | 0.981028i | ||||
\(340\) | −1.44453e6 | − | 525766.i | −0.677688 | − | 0.246658i | ||||
\(341\) | −4.91357e6 | −2.28829 | ||||||||
\(342\) | 1.07824e6 | + | 370485.i | 0.498481 | + | 0.171280i | ||||
\(343\) | −611356. | −0.280581 | ||||||||
\(344\) | −840870. | − | 306052.i | −0.383118 | − | 0.139444i | ||||
\(345\) | −34130.1 | − | 193561.i | −0.0154379 | − | 0.0875529i | ||||
\(346\) | −1.65009e6 | − | 1.38459e6i | −0.740999 | − | 0.621772i | ||||
\(347\) | −10474.0 | + | 8788.73i | −0.00466970 | + | 0.00391834i | −0.645119 | − | 0.764082i | \(-0.723192\pi\) |
0.640450 | + | 0.768000i | \(0.278748\pi\) | |||||||
\(348\) | −28565.9 | + | 162005.i | −0.0126444 | + | 0.0717102i | ||||
\(349\) | −1.46858e6 | + | 2.54366e6i | −0.645408 | + | 1.11788i | 0.338800 | + | 0.940859i | \(0.389979\pi\) |
−0.984207 | + | 0.177020i | \(0.943354\pi\) | |||||||
\(350\) | 18677.2 | + | 32349.8i | 0.00814969 | + | 0.0141157i | ||||
\(351\) | 1.64210e6 | − | 597677.i | 0.711431 | − | 0.258940i | ||||
\(352\) | 721822. | − | 262722.i | 0.310508 | − | 0.113016i | ||||
\(353\) | −549878. | − | 952417.i | −0.234871 | − | 0.406809i | 0.724364 | − | 0.689418i | \(-0.242133\pi\) |
−0.959235 | + | 0.282609i | \(0.908800\pi\) | |||||||
\(354\) | −255468. | + | 442483.i | −0.108350 | + | 0.187667i | ||||
\(355\) | −422611. | + | 2.39675e6i | −0.177980 | + | 1.00937i | ||||
\(356\) | −1.09913e6 | + | 922276.i | −0.459645 | + | 0.385688i | ||||
\(357\) | 207911. | + | 174458.i | 0.0863388 | + | 0.0724468i | ||||
\(358\) | −117641. | − | 667177.i | −0.0485124 | − | 0.275127i | ||||
\(359\) | 3.81473e6 | + | 1.38845e6i | 1.56217 | + | 0.568582i | 0.971231 | − | 0.238138i | \(-0.0765369\pi\) |
0.590935 | + | 0.806719i | \(0.298759\pi\) | |||||||
\(360\) | 593007. | 0.241159 | ||||||||
\(361\) | 1.95317e6 | + | 1.52191e6i | 0.788808 | + | 0.614640i | ||||
\(362\) | 2.72700e6 | 1.09374 | ||||||||
\(363\) | 2.96872e6 | + | 1.08053e6i | 1.18250 | + | 0.430397i | ||||
\(364\) | −26738.4 | − | 151641.i | −0.0105775 | − | 0.0599879i | ||||
\(365\) | 829048. | + | 695654.i | 0.325722 | + | 0.273313i | ||||
\(366\) | −21501.7 | + | 18042.1i | −0.00839016 | + | 0.00704018i | ||||
\(367\) | 280736. | − | 1.59213e6i | 0.108801 | − | 0.617041i | −0.880833 | − | 0.473428i | \(-0.843017\pi\) |
0.989634 | − | 0.143614i | \(-0.0458723\pi\) | |||||||
\(368\) | 62528.6 | − | 108303.i | 0.0240691 | − | 0.0416889i | ||||
\(369\) | 781020. | + | 1.35277e6i | 0.298604 | + | 0.517198i | ||||
\(370\) | −1.59540e6 | + | 580677.i | −0.605849 | + | 0.220511i | ||||
\(371\) | 149417. | − | 54383.5i | 0.0563594 | − | 0.0205131i | ||||
\(372\) | 412159. | + | 713880.i | 0.154421 | + | 0.267465i | ||||
\(373\) | −2.52006e6 | + | 4.36488e6i | −0.937863 | + | 1.62443i | −0.168415 | + | 0.985716i | \(0.553865\pi\) |
−0.769447 | + | 0.638710i | \(0.779468\pi\) | |||||||
\(374\) | 978631. | − | 5.55009e6i | 0.361776 | − | 2.05173i | ||||
\(375\) | −1.11983e6 | + | 939652.i | −0.411221 | + | 0.345056i | ||||
\(376\) | −809478. | − | 679233.i | −0.295281 | − | 0.247770i | ||||
\(377\) | −118904. | − | 674337.i | −0.0430866 | − | 0.244356i | ||||
\(378\) | −230371. | − | 83848.3i | −0.0829275 | − | 0.0301832i | ||||
\(379\) | 4.27170e6 | 1.52758 | 0.763789 | − | 0.645466i | \(-0.223337\pi\) | ||||
0.763789 | + | 0.645466i | \(0.223337\pi\) | |||||||
\(380\) | 1.21800e6 | + | 418509.i | 0.432701 | + | 0.148678i | ||||
\(381\) | −1.83627e6 | −0.648074 | ||||||||
\(382\) | 1.21144e6 | + | 440929.i | 0.424760 | + | 0.154600i | ||||
\(383\) | 735296. | + | 4.17007e6i | 0.256133 | + | 1.45260i | 0.793148 | + | 0.609029i | \(0.208441\pi\) |
−0.537016 | + | 0.843572i | \(0.680448\pi\) | |||||||
\(384\) | −98717.7 | − | 82834.0i | −0.0341639 | − | 0.0286669i | ||||
\(385\) | 540047. | − | 453153.i | 0.185686 | − | 0.155809i | ||||
\(386\) | −187432. | + | 1.06298e6i | −0.0640288 | + | 0.363126i | ||||
\(387\) | 1.26630e6 | − | 2.19330e6i | 0.429793 | − | 0.744423i | ||||
\(388\) | 469598. | + | 813368.i | 0.158361 | + | 0.274289i | ||||
\(389\) | 2.31028e6 | − | 840874.i | 0.774089 | − | 0.281745i | 0.0753833 | − | 0.997155i | \(-0.475982\pi\) |
0.698706 | + | 0.715409i | \(0.253760\pi\) | |||||||
\(390\) | 792196. | − | 288336.i | 0.263737 | − | 0.0959925i | ||||
\(391\) | −458758. | − | 794592.i | −0.151755 | − | 0.262847i | ||||
\(392\) | 527023. | − | 912831.i | 0.173227 | − | 0.300037i | ||||
\(393\) | −287874. | + | 1.63262e6i | −0.0940202 | + | 0.533215i | ||||
\(394\) | −507092. | + | 425501.i | −0.164568 | + | 0.138089i | ||||
\(395\) | 3.33845e6 | + | 2.80129e6i | 1.07659 | + | 0.903370i | ||||
\(396\) | 377518. | + | 2.14101e6i | 0.120976 | + | 0.686090i | ||||
\(397\) | −1.96849e6 | − | 716473.i | −0.626842 | − | 0.228152i | 0.00901431 | − | 0.999959i | \(-0.497131\pi\) |
−0.635856 | + | 0.771808i | \(0.719353\pi\) | |||||||
\(398\) | −2.66430e6 | −0.843093 | ||||||||
\(399\) | −176804. | − | 142984.i | −0.0555981 | − | 0.0449628i | ||||
\(400\) | −130126. | −0.0406644 | ||||||||
\(401\) | 3.95805e6 | + | 1.44061e6i | 1.22919 | + | 0.447390i | 0.873321 | − | 0.487145i | \(-0.161962\pi\) |
0.355872 | + | 0.934535i | \(0.384184\pi\) | |||||||
\(402\) | −97183.1 | − | 551153.i | −0.0299934 | − | 0.170101i | ||||
\(403\) | −2.62843e6 | − | 2.20551e6i | −0.806183 | − | 0.676468i | ||||
\(404\) | −1.94619e6 | + | 1.63305e6i | −0.593243 | + | 0.497790i | ||||
\(405\) | −157908. | + | 895538.i | −0.0478372 | + | 0.271298i | ||||
\(406\) | −48031.2 | + | 83192.4i | −0.0144613 | + | 0.0250477i | ||||
\(407\) | −3.11215e6 | − | 5.39040e6i | −0.931267 | − | 1.61300i | ||||
\(408\) | −888447. | + | 323368.i | −0.264229 | + | 0.0961716i | ||||
\(409\) | 1.04861e6 | − | 381663.i | 0.309960 | − | 0.112816i | −0.182356 | − | 0.983232i | \(-0.558372\pi\) |
0.492317 | + | 0.870416i | \(0.336150\pi\) | |||||||
\(410\) | 882257. | + | 1.52811e6i | 0.259200 | + | 0.448948i | ||||
\(411\) | −1.59844e6 | + | 2.76857e6i | −0.466757 | + | 0.808446i | ||||
\(412\) | 341337. | − | 1.93582e6i | 0.0990695 | − | 0.561851i | ||||
\(413\) | −228558. | + | 191783.i | −0.0659357 | + | 0.0553266i | ||||
\(414\) | 271135. | + | 227510.i | 0.0777473 | + | 0.0652377i | ||||
\(415\) | −397285. | − | 2.25312e6i | −0.113235 | − | 0.642190i | ||||
\(416\) | 504052. | + | 183460.i | 0.142804 | + | 0.0519766i | ||||
\(417\) | −1.19016e6 | −0.335170 | ||||||||
\(418\) | −735597. | + | 4.66393e6i | −0.205920 | + | 1.30560i | ||||
\(419\) | −2.91852e6 | −0.812133 | −0.406066 | − | 0.913844i | \(-0.633100\pi\) | ||||
−0.406066 | + | 0.913844i | \(0.633100\pi\) | |||||||
\(420\) | −111137. | − | 40450.7i | −0.0307423 | − | 0.0111893i | ||||
\(421\) | −102171. | − | 579438.i | −0.0280945 | − | 0.159332i | 0.967533 | − | 0.252745i | \(-0.0813333\pi\) |
−0.995627 | + | 0.0934133i | \(0.970222\pi\) | |||||||
\(422\) | −2.54943e6 | − | 2.13922e6i | −0.696886 | − | 0.584757i | ||||
\(423\) | 2.29102e6 | − | 1.92239e6i | 0.622555 | − | 0.522386i | ||||
\(424\) | −96185.3 | + | 545494.i | −0.0259833 | + | 0.147359i | ||||
\(425\) | −477353. | + | 826799.i | −0.128194 | + | 0.222038i | ||||
\(426\) | 748420. | + | 1.29630e6i | 0.199812 | + | 0.346085i | ||||
\(427\) | −15402.1 | + | 5605.91i | −0.00408799 | + | 0.00148791i | ||||
\(428\) | 943561. | − | 343428.i | 0.248978 | − | 0.0906205i | ||||
\(429\) | 1.54534e6 | + | 2.67661e6i | 0.405398 | + | 0.702170i | ||||
\(430\) | 1.43044e6 | − | 2.47760e6i | 0.373077 | − | 0.646189i | ||||
\(431\) | 555090. | − | 3.14807e6i | 0.143936 | − | 0.816303i | −0.824279 | − | 0.566184i | \(-0.808419\pi\) |
0.968215 | − | 0.250119i | \(-0.0804698\pi\) | |||||||
\(432\) | 654214. | − | 548951.i | 0.168659 | − | 0.141522i | ||||
\(433\) | −3.05069e6 | − | 2.55984e6i | −0.781950 | − | 0.656134i | 0.161789 | − | 0.986825i | \(-0.448274\pi\) |
−0.943739 | + | 0.330692i | \(0.892718\pi\) | |||||||
\(434\) | 83587.2 | + | 474047.i | 0.0213018 | + | 0.120808i | ||||
\(435\) | −494220. | − | 179881.i | −0.125227 | − | 0.0455788i | ||||
\(436\) | −96576.5 | −0.0243307 | ||||||||
\(437\) | 396333. | + | 658642.i | 0.0992788 | + | 0.164986i | ||||
\(438\) | 665626. | 0.165785 | ||||||||
\(439\) | −4.95224e6 | − | 1.80247e6i | −1.22642 | − | 0.446382i | −0.354053 | − | 0.935225i | \(-0.615197\pi\) |
−0.872372 | + | 0.488843i | \(0.837419\pi\) | |||||||
\(440\) | 426453. | + | 2.41853e6i | 0.105012 | + | 0.595553i | ||||
\(441\) | 2.28527e6 | + | 1.91757e6i | 0.559552 | + | 0.469520i | ||||
\(442\) | 3.01473e6 | − | 2.52965e6i | 0.733993 | − | 0.615893i | ||||
\(443\) | 336553. | − | 1.90868e6i | 0.0814786 | − | 0.462088i | −0.916582 | − | 0.399846i | \(-0.869064\pi\) |
0.998061 | − | 0.0622425i | \(-0.0198252\pi\) | |||||||
\(444\) | −522105. | + | 904312.i | −0.125690 | + | 0.217701i | ||||
\(445\) | −2.29361e6 | − | 3.97265e6i | −0.549060 | − | 0.951000i | ||||
\(446\) | 308098. | − | 112138.i | 0.0733418 | − | 0.0266942i | ||||
\(447\) | −86508.3 | + | 31486.5i | −0.0204781 | + | 0.00745341i | ||||
\(448\) | −37625.9 | − | 65169.9i | −0.00885710 | − | 0.0153409i | ||||
\(449\) | 2.75540e6 | − | 4.77249e6i | 0.645013 | − | 1.11720i | −0.339286 | − | 0.940683i | \(-0.610185\pi\) |
0.984299 | − | 0.176512i | \(-0.0564814\pi\) | |||||||
\(450\) | 63952.6 | − | 362693.i | 0.0148877 | − | 0.0844322i | ||||
\(451\) | −4.95549e6 | + | 4.15815e6i | −1.14722 | + | 0.962629i | ||||
\(452\) | 3.28460e6 | + | 2.75610e6i | 0.756199 | + | 0.634526i | ||||
\(453\) | −5348.94 | − | 30335.3i | −0.00122468 | − | 0.00694550i | ||||
\(454\) | −268334. | − | 97665.7i | −0.0610994 | − | 0.0222384i | ||||
\(455\) | 492292. | 0.111479 | ||||||||
\(456\) | 739314. | − | 284346.i | 0.166501 | − | 0.0640375i | ||||
\(457\) | −8.10498e6 | −1.81536 | −0.907678 | − | 0.419668i | \(-0.862147\pi\) | ||||
−0.907678 | + | 0.419668i | \(0.862147\pi\) | |||||||
\(458\) | −5.88699e6 | − | 2.14269e6i | −1.31138 | − | 0.477305i | ||||
\(459\) | −1.08803e6 | − | 6.17052e6i | −0.241051 | − | 1.36707i | ||||
\(460\) | 306281. | + | 257000.i | 0.0674877 | + | 0.0566289i | ||||
\(461\) | −796137. | + | 668038.i | −0.174476 | + | 0.146403i | −0.725844 | − | 0.687860i | \(-0.758550\pi\) |
0.551368 | + | 0.834262i | \(0.314106\pi\) | |||||||
\(462\) | 75292.6 | − | 427005.i | 0.0164115 | − | 0.0930740i | ||||
\(463\) | 4.07948e6 | − | 7.06586e6i | 0.884407 | − | 1.53184i | 0.0380143 | − | 0.999277i | \(-0.487897\pi\) |
0.846392 | − | 0.532560i | \(-0.178770\pi\) | |||||||
\(464\) | −167319. | − | 289806.i | −0.0360788 | − | 0.0624902i | ||||
\(465\) | −2.47649e6 | + | 901369.i | −0.531134 | + | 0.193317i | ||||
\(466\) | −1.83479e6 | + | 667810.i | −0.391401 | + | 0.142458i | ||||
\(467\) | 2.10242e6 | + | 3.64150e6i | 0.446095 | + | 0.772660i | 0.998128 | − | 0.0611628i | \(-0.0194809\pi\) |
−0.552032 | + | 0.833823i | \(0.686148\pi\) | |||||||
\(468\) | −759071. | + | 1.31475e6i | −0.160202 | + | 0.277478i | ||||
\(469\) | 56750.0 | − | 321845.i | 0.0119134 | − | 0.0675640i | ||||
\(470\) | 2.58799e6 | − | 2.17158e6i | 0.540402 | − | 0.453451i | ||||
\(471\) | −1.22607e6 | − | 1.02879e6i | −0.254661 | − | 0.213686i | ||||
\(472\) | −180483. | − | 1.02357e6i | −0.0372890 | − | 0.211476i | ||||
\(473\) | 9.85583e6 | + | 3.58723e6i | 2.02554 | + | 0.737235i | ||||
\(474\) | 2.68038e6 | 0.547961 | ||||||||
\(475\) | 387322. | − | 699816.i | 0.0787658 | − | 0.142315i | ||||
\(476\) | −552104. | −0.111687 | ||||||||
\(477\) | −1.47315e6 | − | 536184.i | −0.296450 | − | 0.107899i | ||||
\(478\) | 1.07775e6 | + | 6.11223e6i | 0.215749 | + | 1.22357i | ||||
\(479\) | 7.50487e6 | + | 6.29733e6i | 1.49453 | + | 1.25406i | 0.888722 | + | 0.458446i | \(0.151594\pi\) |
0.605806 | + | 0.795612i | \(0.292851\pi\) | |||||||
\(480\) | 315611. | − | 264829.i | 0.0625243 | − | 0.0524641i | ||||
\(481\) | 754755. | − | 4.28043e6i | 0.148745 | − | 0.843576i | ||||
\(482\) | 1.23393e6 | − | 2.13722e6i | 0.241920 | − | 0.419018i | ||||
\(483\) | −35295.3 | − | 61133.3i | −0.00688413 | − | 0.0119237i | ||||
\(484\) | −6.03904e6 | + | 2.19803e6i | −1.17180 | + | 0.426502i | ||||
\(485\) | −2.82162e6 | + | 1.02699e6i | −0.544684 | + | 0.198249i | ||||
\(486\) | 1.90094e6 | + | 3.29252e6i | 0.365071 | + | 0.632322i | ||||
\(487\) | −3.43723e6 | + | 5.95345e6i | −0.656728 | + | 1.13749i | 0.324729 | + | 0.945807i | \(0.394727\pi\) |
−0.981458 | + | 0.191680i | \(0.938607\pi\) | |||||||
\(488\) | 9914.89 | − | 56230.1i | 0.00188468 | − | 0.0106886i | ||||
\(489\) | −379059. | + | 318068.i | −0.0716861 | + | 0.0601518i | ||||
\(490\) | 2.58149e6 | + | 2.16613e6i | 0.485713 | + | 0.407562i | ||||
\(491\) | −401374. | − | 2.27630e6i | −0.0751355 | − | 0.426114i | −0.999052 | − | 0.0435215i | \(-0.986142\pi\) |
0.923917 | − | 0.382593i | \(-0.124969\pi\) | |||||||
\(492\) | 1.01980e6 | + | 371178.i | 0.189934 | + | 0.0691304i | ||||
\(493\) | −2.45517e6 | −0.454950 | ||||||||
\(494\) | −2.48696e6 | + | 2.16471e6i | −0.458512 | + | 0.399101i | ||||
\(495\) | −6.95062e6 | −1.27500 | ||||||||
\(496\) | −1.57572e6 | − | 573515.i | −0.287591 | − | 0.104674i | ||||
\(497\) | 151782. | + | 860800.i | 0.0275632 | + | 0.156319i | ||||
\(498\) | −1.07793e6 | − | 904491.i | −0.194768 | − | 0.163430i | ||||
\(499\) | 3.07651e6 | − | 2.58150e6i | 0.553104 | − | 0.464109i | −0.322887 | − | 0.946438i | \(-0.604653\pi\) |
0.875991 | + | 0.482328i | \(0.160209\pi\) | |||||||
\(500\) | 516379. | − | 2.92853e6i | 0.0923727 | − | 0.523872i | ||||
\(501\) | 674559. | − | 1.16837e6i | 0.120068 | − | 0.207963i | ||||
\(502\) | 987431. | + | 1.71028e6i | 0.174883 | + | 0.302906i | ||||
\(503\) | 1.16939e6 | − | 425624.i | 0.206082 | − | 0.0750078i | −0.236917 | − | 0.971530i | \(-0.576137\pi\) |
0.442999 | + | 0.896522i | \(0.353915\pi\) | |||||||
\(504\) | 200136. | − | 72843.6i | 0.0350953 | − | 0.0127737i | ||||
\(505\) | −4.06124e6 | − | 7.03428e6i | −0.708648 | − | 1.22741i | ||||
\(506\) | −732897. | + | 1.26942e6i | −0.127253 | + | 0.220408i | ||||
\(507\) | 132343. | − | 750552.i | 0.0228655 | − | 0.129676i | ||||
\(508\) | 2.86148e6 | − | 2.40106e6i | 0.491961 | − | 0.412804i | ||||
\(509\) | 6.07072e6 | + | 5.09394e6i | 1.03859 | + | 0.871484i | 0.991849 | − | 0.127423i | \(-0.0406705\pi\) |
0.0467459 | + | 0.998907i | \(0.485115\pi\) | |||||||
\(510\) | −524895. | − | 2.97683e6i | −0.0893608 | − | 0.506790i | ||||
\(511\) | 365251. | + | 132941.i | 0.0618784 | + | 0.0225219i | ||||
\(512\) | 262144. | 0.0441942 | ||||||||
\(513\) | 1.00497e6 | + | 5.15230e6i | 0.168601 | + | 0.864387i | ||||
\(514\) | −4.41386e6 | −0.736904 | ||||||||
\(515\) | 5.90548e6 | + | 2.14942e6i | 0.981153 | + | 0.357111i | ||||
\(516\) | −305545. | − | 1.73283e6i | −0.0505185 | − | 0.286505i | ||||
\(517\) | 9.48788e6 | + | 7.96128e6i | 1.56114 | + | 1.30996i | ||||
\(518\) | −467108. | + | 391950.i | −0.0764879 | + | 0.0641809i | ||||
\(519\) | 735504. | − | 4.17125e6i | 0.119858 | − | 0.679748i | ||||
\(520\) | −857464. | + | 1.48517e6i | −0.139062 | + | 0.240862i | ||||
\(521\) | 913348. | + | 1.58197e6i | 0.147415 | + | 0.255331i | 0.930271 | − | 0.366872i | \(-0.119571\pi\) |
−0.782856 | + | 0.622203i | \(0.786238\pi\) | |||||||
\(522\) | 889991. | − | 323930.i | 0.142958 | − | 0.0520326i | ||||
\(523\) | 3.12976e6 | − | 1.13914e6i | 0.500330 | − | 0.182105i | −0.0795127 | − | 0.996834i | \(-0.525336\pi\) |
0.579842 | + | 0.814729i | \(0.303114\pi\) | |||||||
\(524\) | −1.68617e6 | − | 2.92053e6i | −0.268270 | − | 0.464658i | ||||
\(525\) | −36725.9 | + | 63611.2i | −0.00581533 | + | 0.0100724i | ||||
\(526\) | 1.25412e6 | − | 7.11249e6i | 0.197641 | − | 1.12088i | ||||
\(527\) | −9.42435e6 | + | 7.90797e6i | −1.47817 | + | 1.24033i | ||||
\(528\) | 1.15707e6 | + | 970896.i | 0.180624 | + | 0.151561i | ||||
\(529\) | −1.07622e6 | − | 6.10355e6i | −0.167210 | − | 0.948295i | ||||
\(530\) | −1.66411e6 | − | 605685.i | −0.257330 | − | 0.0936606i | ||||
\(531\) | 2.94163e6 | 0.452743 | ||||||||
\(532\) | 462476. | − | 8372.30i | 0.0708452 | − | 0.00128253i | ||||
\(533\) | −4.51729e6 | −0.688748 | ||||||||
\(534\) | −2.65119e6 | − | 964953.i | −0.402335 | − | 0.146438i | ||||
\(535\) | 557457. | + | 3.16149e6i | 0.0842028 | + | 0.477538i | ||||
\(536\) | 872114. | + | 731790.i | 0.131118 | + | 0.110021i | ||||
\(537\) | 1.02048e6 | − | 856285.i | 0.152711 | − | 0.128139i | ||||
\(538\) | −1.28211e6 | + | 7.27119e6i | −0.190971 | + | 1.08305i | ||||
\(539\) | −6.17723e6 | + | 1.06993e7i | −0.915845 | + | 1.58629i | ||||
\(540\) | 1.36519e6 | + | 2.36457e6i | 0.201469 | + | 0.348954i | ||||
\(541\) | 3.00097e6 | − | 1.09226e6i | 0.440827 | − | 0.160448i | −0.112065 | − | 0.993701i | \(-0.535746\pi\) |
0.552892 | + | 0.833253i | \(0.313524\pi\) | |||||||
\(542\) | 3.65328e6 | − | 1.32969e6i | 0.534176 | − | 0.194424i | ||||
\(543\) | 2.68112e6 | + | 4.64383e6i | 0.390226 | + | 0.675891i | ||||
\(544\) | 961644. | − | 1.66562e6i | 0.139321 | − | 0.241311i | ||||
\(545\) | 53616.5 | − | 304074.i | 0.00773227 | − | 0.0438519i | ||||
\(546\) | 231943. | − | 194623.i | 0.0332966 | − | 0.0279391i | ||||
\(547\) | −46789.7 | − | 39261.2i | −0.00668624 | − | 0.00561043i | 0.639438 | − | 0.768842i | \(-0.279167\pi\) |
−0.646125 | + | 0.763232i | \(0.723611\pi\) | |||||||
\(548\) | −1.12926e6 | − | 6.40435e6i | −0.160636 | − | 0.911011i | ||||
\(549\) | 151854. | + | 55270.4i | 0.0215028 | + | 0.00782639i | ||||
\(550\) | 1.52521e6 | 0.214992 | ||||||||
\(551\) | 2.05660e6 | − | 37231.0i | 0.288583 | − | 0.00522427i | ||||
\(552\) | 245907. | 0.0343497 | ||||||||
\(553\) | 1.47081e6 | + | 535332.i | 0.204524 | + | 0.0744406i | ||||
\(554\) | −129591. | − | 734950.i | −0.0179392 | − | 0.101738i | ||||
\(555\) | −2.55740e6 | − | 2.14591e6i | −0.352424 | − | 0.295719i | ||||
\(556\) | 1.85463e6 | − | 1.55622e6i | 0.254431 | − | 0.213493i | ||||
\(557\) | 512159. | − | 2.90460e6i | 0.0699466 | − | 0.396687i | −0.929654 | − | 0.368433i | \(-0.879894\pi\) |
0.999601 | − | 0.0282537i | \(-0.00899461\pi\) | |||||||
\(558\) | 2.37294e6 | − | 4.11005e6i | 0.322627 | − | 0.558806i | ||||
\(559\) | 3.66204e6 | + | 6.34283e6i | 0.495670 | + | 0.858526i | ||||
\(560\) | 226078. | − | 82285.8i | 0.0304641 | − | 0.0110880i | ||||
\(561\) | 1.04135e7 | − | 3.79020e6i | 1.39697 | − | 0.508457i | ||||
\(562\) | 2.07760e6 | + | 3.59850e6i | 0.277473 | + | 0.480597i | ||||
\(563\) | 1.37243e6 | − | 2.37711e6i | 0.182481 | − | 0.316067i | −0.760244 | − | 0.649638i | \(-0.774920\pi\) |
0.942725 | + | 0.333571i | \(0.108254\pi\) | |||||||
\(564\) | 360814. | − | 2.04628e6i | 0.0477623 | − | 0.270873i | ||||
\(565\) | −1.05012e7 | + | 8.81154e6i | −1.38394 | + | 1.16126i | ||||
\(566\) | −590060. | − | 495119.i | −0.0774203 | − | 0.0649634i | ||||
\(567\) | 56713.1 | + | 321636.i | 0.00740842 | + | 0.0420152i | ||||
\(568\) | −2.86128e6 | − | 1.04142e6i | −0.372125 | − | 0.135443i | ||||
\(569\) | −3.86125e6 | −0.499974 | −0.249987 | − | 0.968249i | \(-0.580426\pi\) | ||||
−0.249987 | + | 0.968249i | \(0.580426\pi\) | |||||||
\(570\) | 484826. | + | 2.48561e6i | 0.0625027 | + | 0.320440i | ||||
\(571\) | −2.76457e6 | −0.354844 | −0.177422 | − | 0.984135i | \(-0.556776\pi\) | ||||
−0.177422 | + | 0.984135i | \(0.556776\pi\) | |||||||
\(572\) | −5.90798e6 | − | 2.15033e6i | −0.755004 | − | 0.274799i | ||||
\(573\) | 440198. | + | 2.49649e6i | 0.0560095 | + | 0.317646i | ||||
\(574\) | 485467. | + | 407355.i | 0.0615007 | + | 0.0516052i | ||||
\(575\) | 190216. | − | 159610.i | 0.0239926 | − | 0.0201322i | ||||
\(576\) | −128835. | + | 730659.i | −0.0161800 | + | 0.0917611i | ||||
\(577\) | 67370.1 | − | 116689.i | 0.00842419 | − | 0.0145911i | −0.861783 | − | 0.507278i | \(-0.830652\pi\) |
0.870207 | + | 0.492687i | \(0.163985\pi\) | |||||||
\(578\) | −4.21564e6 | − | 7.30171e6i | −0.524861 | − | 0.909086i | ||||
\(579\) | −1.99444e6 | + | 725916.i | −0.247243 | + | 0.0899892i | ||||
\(580\) | 1.00535e6 | − | 365919.i | 0.124093 | − | 0.0451663i | ||||
\(581\) | −410849. | − | 711611.i | −0.0504943 | − | 0.0874586i | ||||
\(582\) | −923396. | + | 1.59937e6i | −0.113001 | + | 0.195723i | ||||
\(583\) | 1.12739e6 | − | 6.39373e6i | 0.137373 | − | 0.779081i | ||||
\(584\) | −1.03725e6 | + | 870355.i | −0.125849 | + | 0.105600i | ||||
\(585\) | −3.71812e6 | − | 3.11987e6i | −0.449193 | − | 0.376918i | ||||
\(586\) | −110558. | − | 627007.i | −0.0132999 | − | 0.0754273i | ||||
\(587\) | 2.60775e6 | + | 949142.i | 0.312371 | + | 0.113694i | 0.493448 | − | 0.869775i | \(-0.335736\pi\) |
−0.181078 | + | 0.983469i | \(0.557959\pi\) | |||||||
\(588\) | 2.07263e6 | 0.247217 | ||||||||
\(589\) | 7.77449e6 | − | 6.76711e6i | 0.923387 | − | 0.803739i | ||||
\(590\) | 3.32293e6 | 0.392999 | ||||||||
\(591\) | −1.22315e6 | − | 445190.i | −0.144049 | − | 0.0524297i | ||||
\(592\) | −368856. | − | 2.09188e6i | −0.0432566 | − | 0.245320i | ||||
\(593\) | −8.68226e6 | − | 7.28528e6i | −1.01390 | − | 0.850765i | −0.0250535 | − | 0.999686i | \(-0.507976\pi\) |
−0.988849 | + | 0.148921i | \(0.952420\pi\) | |||||||
\(594\) | −7.66803e6 | + | 6.43424e6i | −0.891698 | + | 0.748223i | ||||
\(595\) | 306512. | − | 1.73832e6i | 0.0354941 | − | 0.201297i | ||||
\(596\) | 93635.6 | − | 162182.i | 0.0107976 | − | 0.0187019i | ||||
\(597\) | −2.61948e6 | − | 4.53707e6i | −0.300801 | − | 0.521002i | ||||
\(598\) | −961843. | + | 350082.i | −0.109989 | + | 0.0400329i | ||||
\(599\) | 6.50993e6 | − | 2.36942e6i | 0.741327 | − | 0.269821i | 0.0563753 | − | 0.998410i | \(-0.482046\pi\) |
0.684951 | + | 0.728589i | \(0.259823\pi\) | |||||||
\(600\) | −127937. | − | 221593.i | −0.0145083 | − | 0.0251292i | ||||
\(601\) | −4.35793e6 | + | 7.54816e6i | −0.492146 | + | 0.852423i | −0.999959 | − | 0.00904490i | \(-0.997121\pi\) |
0.507813 | + | 0.861468i | \(0.330454\pi\) | |||||||
\(602\) | 178423. | − | 1.01189e6i | 0.0200659 | − | 0.113799i | ||||
\(603\) | −2.46829e6 | + | 2.07114e6i | −0.276441 | + | 0.231962i | ||||
\(604\) | 48001.0 | + | 40277.6i | 0.00535374 | + | 0.00449233i | ||||
\(605\) | −3.56787e6 | − | 2.02344e7i | −0.396297 | − | 2.24751i | ||||
\(606\) | −4.69439e6 | − | 1.70862e6i | −0.519275 | − | 0.189001i | ||||
\(607\) | −1.16901e7 | −1.28779 | −0.643895 | − | 0.765114i | \(-0.722682\pi\) | ||||
−0.643895 | + | 0.765114i | \(0.722682\pi\) | |||||||
\(608\) | −780274. | + | 1.40981e6i | −0.0856028 | + | 0.154668i | ||||
\(609\) | −188892. | −0.0206382 | ||||||||
\(610\) | 171538. | + | 62434.7i | 0.0186653 | + | 0.00679362i | ||||
\(611\) | 1.50186e6 | + | 8.51750e6i | 0.162753 | + | 0.923016i | ||||
\(612\) | 4.16986e6 | + | 3.49893e6i | 0.450032 | + | 0.377622i | ||||
\(613\) | 4.18156e6 | − | 3.50874e6i | 0.449456 | − | 0.377138i | −0.389778 | − | 0.920909i | \(-0.627448\pi\) |
0.839234 | + | 0.543771i | \(0.183004\pi\) | |||||||
\(614\) | −648552. | + | 3.67812e6i | −0.0694263 | + | 0.393736i | ||||
\(615\) | −1.73483e6 | + | 3.00481e6i | −0.184956 | + | 0.320353i | ||||
\(616\) | 441012. | + | 763856.i | 0.0468273 | + | 0.0811072i | ||||
\(617\) | 5.76966e6 | − | 2.09999e6i | 0.610151 | − | 0.222077i | −0.0184182 | − | 0.999830i | \(-0.505863\pi\) |
0.628569 | + | 0.777754i | \(0.283641\pi\) | |||||||
\(618\) | 3.63212e6 | − | 1.32198e6i | 0.382550 | − | 0.139237i | ||||
\(619\) | 624938. | + | 1.08242e6i | 0.0655557 | + | 0.113546i | 0.896940 | − | 0.442152i | \(-0.145785\pi\) |
−0.831385 | + | 0.555697i | \(0.812451\pi\) | |||||||
\(620\) | 2.68052e6 | − | 4.64280e6i | 0.280053 | − | 0.485066i | ||||
\(621\) | −282986. | + | 1.60489e6i | −0.0294467 | + | 0.167000i | ||||
\(622\) | 305698. | − | 256511.i | 0.0316823 | − | 0.0265846i | ||||
\(623\) | −1.26207e6 | − | 1.05900e6i | −0.130276 | − | 0.109314i | ||||
\(624\) | 183156. | + | 1.03873e6i | 0.0188304 | + | 0.106792i | ||||
\(625\) | 7.44123e6 | + | 2.70839e6i | 0.761982 | + | 0.277339i | ||||
\(626\) | −7.98305e6 | −0.814203 | ||||||||
\(627\) | −8.66549e6 | + | 3.33281e6i | −0.880287 | + | 0.338565i | ||||
\(628\) | 3.25581e6 | 0.329427 | ||||||||
\(629\) | −1.46446e7 | − | 5.33019e6i | −1.47588 | − | 0.537175i | ||||
\(630\) | 118241. | + | 670576.i | 0.0118690 | + | 0.0673126i | ||||
\(631\) | −317408. | − | 266337.i | −0.0317354 | − | 0.0266292i | 0.626782 | − | 0.779195i | \(-0.284372\pi\) |
−0.658517 | + | 0.752565i | \(0.728816\pi\) | |||||||
\(632\) | −4.17685e6 | + | 3.50479e6i | −0.415964 | + | 0.349035i | ||||
\(633\) | 1.13637e6 | − | 6.44468e6i | 0.112723 | − | 0.639282i | ||||
\(634\) | 5.75491e6 | − | 9.96780e6i | 0.568611 | − | 0.984863i | ||||
\(635\) | 5.97121e6 | + | 1.03424e7i | 0.587663 | + | 1.01786i | ||||
\(636\) | −1.02349e6 | + | 372522.i | −0.100333 | + | 0.0365181i | ||||
\(637\) | −8.10690e6 | + | 2.95067e6i | −0.791601 | + | 0.288119i | ||||
\(638\) | 1.96115e6 | + | 3.39681e6i | 0.190747 | + | 0.330384i | ||||
\(639\) | 4.30891e6 | − | 7.46325e6i | 0.417460 | − | 0.723063i | ||||
\(640\) | −145535. | + | 825369.i | −0.0140448 | + | 0.0796522i | ||||
\(641\) | 1.26849e7 | − | 1.06439e7i | 1.21939 | − | 1.02319i | 0.220536 | − | 0.975379i | \(-0.429219\pi\) |
0.998856 | − | 0.0478129i | \(-0.0152251\pi\) | |||||||
\(642\) | 1.51251e6 | + | 1.26915e6i | 0.144831 | + | 0.121528i | ||||
\(643\) | 804537. | + | 4.56276e6i | 0.0767394 | + | 0.435211i | 0.998835 | + | 0.0482495i | \(0.0153643\pi\) |
−0.922096 | + | 0.386962i | \(0.873525\pi\) | |||||||
\(644\) | 134937. | + | 49113.1i | 0.0128208 | + | 0.00466641i | ||||
\(645\) | 5.62550e6 | 0.532429 | ||||||||
\(646\) | 6.09531e6 | + | 1.01294e7i | 0.574665 | + | 0.955001i | ||||
\(647\) | −1.59014e7 | −1.49340 | −0.746699 | − | 0.665162i | \(-0.768363\pi\) | ||||
−0.746699 | + | 0.665162i | \(0.768363\pi\) | |||||||
\(648\) | −1.06911e6 | − | 389124.i | −0.100019 | − | 0.0364041i | ||||
\(649\) | 2.11543e6 | + | 1.19972e7i | 0.197146 | + | 1.11807i | ||||
\(650\) | 815883. | + | 684607.i | 0.0757434 | + | 0.0635562i | ||||
\(651\) | −725078. | + | 608413.i | −0.0670552 | + | 0.0562660i | ||||
\(652\) | 174792. | − | 991296.i | 0.0161029 | − | 0.0913239i | ||||
\(653\) | 9.01348e6 | − | 1.56118e7i | 0.827198 | − | 1.43275i | −0.0730294 | − | 0.997330i | \(-0.523267\pi\) |
0.900228 | − | 0.435420i | \(-0.143400\pi\) | |||||||
\(654\) | −94951.7 | − | 164461.i | −0.00868077 | − | 0.0150355i | ||||
\(655\) | 1.01315e7 | − | 3.68756e6i | 0.922721 | − | 0.335843i | ||||
\(656\) | −2.07451e6 | + | 755058.i | −0.188215 | + | 0.0685048i | ||||
\(657\) | −1.91612e6 | − | 3.31881e6i | −0.173184 | − | 0.299964i | ||||
\(658\) | 606678. | − | 1.05080e6i | 0.0546252 | − | 0.0946137i | ||||
\(659\) | −2.55852e6 | + | 1.45101e7i | −0.229496 | + | 1.30154i | 0.624405 | + | 0.781101i | \(0.285342\pi\) |
−0.853901 | + | 0.520436i | \(0.825770\pi\) | |||||||
\(660\) | −3.69927e6 | + | 3.10405e6i | −0.330564 | + | 0.277376i | ||||
\(661\) | 5.92570e6 | + | 4.97225e6i | 0.527516 | + | 0.442639i | 0.867243 | − | 0.497885i | \(-0.165890\pi\) |
−0.339726 | + | 0.940524i | \(0.610334\pi\) | |||||||
\(662\) | 823935. | + | 4.67277e6i | 0.0730715 | + | 0.414409i | ||||
\(663\) | 7.27178e6 | + | 2.64671e6i | 0.642476 | + | 0.233842i | ||||
\(664\) | 2.86243e6 | 0.251951 | ||||||||
\(665\) | −230393. | + | 1.46077e6i | −0.0202030 | + | 0.128094i | ||||
\(666\) | 6.01187e6 | 0.525199 | ||||||||
\(667\) | 600055. | + | 218402.i | 0.0522248 | + | 0.0190083i | ||||
\(668\) | 476562. | + | 2.70272e6i | 0.0413217 | + | 0.234347i | ||||
\(669\) | 493876. | + | 414411.i | 0.0426631 | + | 0.0357986i | ||||
\(670\) | −2.78824e6 | + | 2.33961e6i | −0.239962 | + | 0.201352i | ||||
\(671\) | −116212. | + | 659072.i | −0.00996427 | + | 0.0565102i | ||||
\(672\) | 73985.7 | − | 128147.i | 0.00632011 | − | 0.0109468i | ||||
\(673\) | 733953. | + | 1.27124e6i | 0.0624641 | + | 0.108191i | 0.895566 | − | 0.444928i | \(-0.146771\pi\) |
−0.833102 | + | 0.553119i | \(0.813437\pi\) | |||||||
\(674\) | −8.90777e6 | + | 3.24216e6i | −0.755299 | + | 0.274906i | ||||
\(675\) | 1.59344e6 | − | 579966.i | 0.134610 | − | 0.0489940i | ||||
\(676\) | 775172. | + | 1.34264e6i | 0.0652426 | + | 0.113004i | ||||
\(677\) | −8.52294e6 | + | 1.47622e7i | −0.714690 | + | 1.23788i | 0.248389 | + | 0.968660i | \(0.420099\pi\) |
−0.963079 | + | 0.269219i | \(0.913235\pi\) | |||||||
\(678\) | −1.46406e6 | + | 8.30311e6i | −0.122317 | + | 0.693692i | ||||
\(679\) | −826128. | + | 693204.i | −0.0687659 | + | 0.0577014i | ||||
\(680\) | 4.71037e6 | + | 3.95247e6i | 0.390645 | + | 0.327790i | ||||
\(681\) | −97503.9 | − | 552972.i | −0.00805665 | − | 0.0456915i | ||||
\(682\) | 1.84690e7 | + | 6.72216e6i | 1.52048 | + | 0.553411i | ||||
\(683\) | −1.91081e7 | −1.56735 | −0.783676 | − | 0.621170i | \(-0.786658\pi\) | ||||
−0.783676 | + | 0.621170i | \(0.786658\pi\) | |||||||
\(684\) | −3.54599e6 | − | 2.86768e6i | −0.289799 | − | 0.234364i | ||||
\(685\) | 2.07912e7 | 1.69299 | ||||||||
\(686\) | 2.29795e6 | + | 836384.i | 0.186436 | + | 0.0678571i | ||||
\(687\) | −2.13914e6 | − | 1.21317e7i | −0.172921 | − | 0.980683i | ||||
\(688\) | 2.74194e6 | + | 2.30076e6i | 0.220844 | + | 0.185310i | ||||
\(689\) | 3.47298e6 | − | 2.91417e6i | 0.278711 | − | 0.233866i | ||||
\(690\) | −136520. | + | 774245.i | −0.0109163 | + | 0.0619092i | ||||
\(691\) | 6.58402e6 | − | 1.14039e7i | 0.524561 | − | 0.908567i | −0.475030 | − | 0.879970i | \(-0.657563\pi\) |
0.999591 | − | 0.0285970i | \(-0.00910395\pi\) | |||||||
\(692\) | 4.30808e6 | + | 7.46181e6i | 0.341994 | + | 0.592351i | ||||
\(693\) | −2.34579e6 | + | 853799.i | −0.185548 | + | 0.0675340i | ||||
\(694\) | 51393.1 | − | 18705.5i | 0.00405047 | − | 0.00147425i | ||||
\(695\) | 3.87017e6 | + | 6.70333e6i | 0.303926 | + | 0.526416i | ||||
\(696\) | 329009. | − | 569860.i | 0.0257445 | − | 0.0445908i | ||||
\(697\) | −2.81257e6 | + | 1.59509e7i | −0.219291 | + | 1.24366i | ||||
\(698\) | 8.99998e6 | − | 7.55188e6i | 0.699203 | − | 0.586701i | ||||
\(699\) | −2.94114e6 | − | 2.46791e6i | −0.227679 | − | 0.191046i | ||||
\(700\) | −25946.1 | − | 147148.i | −0.00200137 | − | 0.0113503i | ||||
\(701\) | −1.77442e7 | − | 6.45835e6i | −1.36383 | − | 0.496394i | −0.446594 | − | 0.894737i | \(-0.647363\pi\) |
−0.917236 | + | 0.398343i | \(0.869585\pi\) | |||||||
\(702\) | −6.98996e6 | −0.535343 | ||||||||
\(703\) | 1.23480e7 | + | 4.24281e6i | 0.942343 | + | 0.323792i | ||||
\(704\) | −3.07259e6 | −0.233654 | ||||||||
\(705\) | 6.24245e6 | + | 2.27207e6i | 0.473023 | + | 0.172166i | ||||
\(706\) | 763883. | + | 4.33219e6i | 0.0576786 | + | 0.327112i | ||||
\(707\) | −2.23472e6 | − | 1.87515e6i | −0.168141 | − | 0.141087i | ||||
\(708\) | 1.56560e6 | − | 1.31369e6i | 0.117381 | − | 0.0984942i | ||||
\(709\) | 621528. | − | 3.52486e6i | 0.0464350 | − | 0.263346i | −0.952748 | − | 0.303762i | \(-0.901757\pi\) |
0.999183 | + | 0.0404161i | \(0.0128684\pi\) | |||||||
\(710\) | 4.86744e6 | − | 8.43066e6i | 0.362372 | − | 0.627647i | ||||
\(711\) | −7.71592e6 | − | 1.33644e7i | −0.572419 | − | 0.991458i | ||||
\(712\) | 5.39311e6 | − | 1.96293e6i | 0.398694 | − | 0.145113i | ||||
\(713\) | 3.00682e6 | − | 1.09439e6i | 0.221505 | − | 0.0806213i | ||||
\(714\) | −542816. | − | 940185.i | −0.0398480 | − | 0.0690188i | ||||
\(715\) | 1.00503e7 | − | 1.74077e7i | 0.735216 | − | 1.27343i | ||||
\(716\) | −470565. | + | 2.66871e6i | −0.0343034 | + | 0.194544i | ||||
\(717\) | −9.34897e6 | + | 7.84472e6i | −0.679150 | + | 0.569875i | ||||
\(718\) | −1.24392e7 | − | 1.04377e7i | −0.900493 | − | 0.755603i | ||||
\(719\) | 2.11129e6 | + | 1.19737e7i | 0.152309 | + | 0.863787i | 0.961205 | + | 0.275835i | \(0.0889545\pi\) |
−0.808896 | + | 0.587952i | \(0.799934\pi\) | |||||||
\(720\) | −2.22898e6 | − | 811281.i | −0.160241 | − | 0.0583230i | ||||
\(721\) | 2.25709e6 | 0.161700 | ||||||||
\(722\) | −5.25941e6 | − | 8.39260e6i | −0.375486 | − | 0.599174i | ||||
\(723\) | 4.85267e6 | 0.345251 | ||||||||
\(724\) | −1.02501e7 | − | 3.73075e6i | −0.726748 | − | 0.264515i | ||||
\(725\) | −115380. | − | 654354.i | −0.00815242 | − | 0.0462347i | ||||
\(726\) | −9.68050e6 | − | 8.12290e6i | −0.681642 | − | 0.571965i | ||||
\(727\) | −1.29242e7 | + | 1.08447e7i | −0.906918 | + | 0.760994i | −0.971530 | − | 0.236916i | \(-0.923863\pi\) |
0.0646124 | + | 0.997910i | \(0.479419\pi\) | |||||||
\(728\) | −106954. | + | 606565.i | −0.00747942 | + | 0.0424179i | ||||
\(729\) | −1.57802e6 | + | 2.73322e6i | −0.109975 | + | 0.190483i | ||||
\(730\) | −2.16449e6 | − | 3.74901e6i | −0.150331 | − | 0.260381i | ||||
\(731\) | 2.46771e7 | − | 8.98172e6i | 1.70805 | − | 0.621679i | ||||
\(732\) | 105503. | − | 38399.9i | 0.00727758 | − | 0.00264882i | ||||
\(733\) | −1.73323e6 | − | 3.00204e6i | −0.119150 | − | 0.206374i | 0.800281 | − | 0.599625i | \(-0.204684\pi\) |
−0.919431 | + | 0.393251i | \(0.871350\pi\) | |||||||
\(734\) | −3.23339e6 | + | 5.60040e6i | −0.221523 | + | 0.383688i | ||||
\(735\) | −1.15066e6 | + | 6.52573e6i | −0.0785650 | + | 0.445564i | ||||
\(736\) | −383198. | + | 321541.i | −0.0260752 | + | 0.0218797i | ||||
\(737\) | −1.02220e7 | − | 8.57730e6i | −0.693216 | − | 0.581677i | ||||
\(738\) | −1.08498e6 | − | 6.15324e6i | −0.0733299 | − | 0.415875i | ||||
\(739\) | −2.10455e7 | − | 7.65993e6i | −1.41758 | − | 0.515957i | −0.484236 | − | 0.874937i | \(-0.660902\pi\) |
−0.933345 | + | 0.358980i | \(0.883125\pi\) | |||||||
\(740\) | 6.79114e6 | 0.455894 | ||||||||
\(741\) | −6.13142e6 | − | 2.10678e6i | −0.410219 | − | 0.140953i | ||||
\(742\) | −636027. | −0.0424097 | ||||||||
\(743\) | −7.67598e6 | − | 2.79383e6i | −0.510108 | − | 0.185664i | 0.0741270 | − | 0.997249i | \(-0.476383\pi\) |
−0.584235 | + | 0.811585i | \(0.698605\pi\) | |||||||
\(744\) | −572565. | − | 3.24718e6i | −0.0379221 | − | 0.215067i | ||||
\(745\) | 458650. | + | 384853.i | 0.0302755 | + | 0.0254041i | ||||
\(746\) | 1.54438e7 | − | 1.29589e7i | 1.01603 | − | 0.852554i | ||||
\(747\) | −1.40679e6 | + | 7.97830e6i | −0.0922418 | + | 0.523129i | ||||
\(748\) | −1.12714e7 | + | 1.95227e7i | −0.736588 | + | 1.27581i | ||||
\(749\) | 576489. | + | 998508.i | 0.0375480 | + | 0.0650350i | ||||
\(750\) | 5.49472e6 | − | 1.99991e6i | 0.356691 | − | 0.129825i | ||||
\(751\) | 1.39573e7 | − | 5.08003e6i | 0.903028 | − | 0.328675i | 0.151562 | − | 0.988448i | \(-0.451570\pi\) |
0.751465 | + | 0.659773i | \(0.229347\pi\) | |||||||
\(752\) | 2.11340e6 | + | 3.66051e6i | 0.136281 | + | 0.236046i | ||||
\(753\) | −1.94164e6 | + | 3.36301e6i | −0.124790 | + | 0.216143i | ||||
\(754\) | −475615. | + | 2.69735e6i | −0.0304669 | + | 0.172786i | ||||
\(755\) | −153464. | + | 128772.i | −0.00979804 | + | 0.00822153i | ||||
\(756\) | 751201. | + | 630333.i | 0.0478026 | + | 0.0401112i | ||||
\(757\) | −430338. | − | 2.44057e6i | −0.0272942 | − | 0.154793i | 0.968115 | − | 0.250508i | \(-0.0805975\pi\) |
−0.995409 | + | 0.0957145i | \(0.969486\pi\) | |||||||
\(758\) | −1.60564e7 | − | 5.84404e6i | −1.01502 | − | 0.369437i | ||||
\(759\) | −2.88227e6 | −0.181606 | ||||||||
\(760\) | −4.00563e6 | − | 3.23940e6i | −0.251557 | − | 0.203437i | ||||
\(761\) | −7.92371e6 | −0.495983 | −0.247991 | − | 0.968762i | \(-0.579770\pi\) | ||||
−0.247991 | + | 0.968762i | \(0.579770\pi\) | |||||||
\(762\) | 6.90213e6 | + | 2.51217e6i | 0.430621 | + | 0.156733i | ||||
\(763\) | −19256.5 | − | 109209.i | −0.00119748 | − | 0.00679122i | ||||
\(764\) | −3.95030e6 | − | 3.31470e6i | −0.244848 | − | 0.205452i | ||||
\(765\) | −1.33315e7 | + | 1.11864e7i | −0.823616 | + | 0.691096i | ||||
\(766\) | 2.94118e6 | − | 1.66803e7i | 0.181113 | − | 1.02714i | ||||
\(767\) | −4.25348e6 | + | 7.36724e6i | −0.261069 | + | 0.452185i | ||||
\(768\) | 257734. | + | 446408.i | 0.0157677 | + | 0.0273104i | ||||
\(769\) | −1.95517e7 | + | 7.11622e6i | −1.19225 | + | 0.433944i | −0.860513 | − | 0.509428i | \(-0.829857\pi\) |
−0.331737 | + | 0.943372i | \(0.607635\pi\) | |||||||
\(770\) | −2.64986e6 | + | 964470.i | −0.161063 | + | 0.0586222i | ||||
\(771\) | −4.33960e6 | − | 7.51641e6i | −0.262914 | − | 0.455381i | ||||
\(772\) | 2.15876e6 | − | 3.73908e6i | 0.130365 | − | 0.225799i | ||||
\(773\) | 1.99103e6 | − | 1.12917e7i | 0.119847 | − | 0.679688i | −0.864388 | − | 0.502825i | \(-0.832294\pi\) |
0.984236 | − | 0.176863i | \(-0.0565949\pi\) | |||||||
\(774\) | −7.76034e6 | + | 6.51169e6i | −0.465616 | + | 0.390698i | ||||
\(775\) | −2.55054e6 | − | 2.14016e6i | −0.152538 | − | 0.127994i | ||||
\(776\) | −652359. | − | 3.69971e6i | −0.0388895 | − | 0.220553i | ||||
\(777\) | −1.12670e6 | − | 410087.i | −0.0669511 | − | 0.0243682i | ||||
\(778\) | −9.83420e6 | −0.582492 | ||||||||
\(779\) | 2.11410e6 | − | 1.34041e7i | 0.124819 | − | 0.791396i | ||||
\(780\) | −3.37215e6 | −0.198459 | ||||||||
\(781\) | 3.35370e7 | + | 1.22065e7i | 1.96742 | + | 0.716081i | ||||
\(782\) | 637300. | + | 3.61431e6i | 0.0372672 | + | 0.211353i | ||||
\(783\) | 3.34054e6 | + | 2.80304e6i | 0.194721 | + | 0.163390i | ||||
\(784\) | −3.22978e6 | + | 2.71011e6i | −0.187665 | + | 0.157470i | ||||
\(785\) | −1.80753e6 | + | 1.02510e7i | −0.104691 | + | 0.593735i | ||||
\(786\) | 3.31560e6 | − | 5.74279e6i | 0.191428 | − | 0.331563i | ||||
\(787\) | 4.96644e6 | + | 8.60213e6i | 0.285830 | + | 0.495073i | 0.972810 | − | 0.231604i | \(-0.0743972\pi\) |
−0.686980 | + | 0.726677i | \(0.741064\pi\) | |||||||
\(788\) | 2.48816e6 | − | 905617.i | 0.142746 | − | 0.0519552i | ||||
\(789\) | 1.33450e7 | − | 4.85717e6i | 0.763176 | − | 0.277773i | ||||
\(790\) | −8.71608e6 | − | 1.50967e7i | −0.496882 | − | 0.860625i | ||||
\(791\) | −2.46170e6 | + | 4.26378e6i | −0.139892 | + | 0.242300i | ||||
\(792\) | 1.51007e6 | − | 8.56404e6i | 0.0855430 | − | 0.485139i | ||||
\(793\) | −357998. | + | 300396.i | −0.0202161 | + | 0.0169633i | ||||
\(794\) | 6.41893e6 | + | 5.38612e6i | 0.361336 | + | 0.303197i | ||||
\(795\) | −604681. | − | 3.42932e6i | −0.0339319 | − | 0.192438i | ||||
\(796\) | 1.00145e7 | + | 3.64498e6i | 0.560204 | + | 0.203898i | ||||
\(797\) | 3.20786e7 | 1.78883 | 0.894417 | − | 0.447234i | \(-0.147591\pi\) | ||||
0.894417 | + | 0.447234i | \(0.147591\pi\) | |||||||
\(798\) | 468953. | + | 779324.i | 0.0260689 | + | 0.0433223i | ||||
\(799\) | 3.10110e7 | 1.71850 | ||||||||
\(800\) | 489115. | + | 178023.i | 0.0270200 | + | 0.00983448i | ||||
\(801\) | 2.82063e6 | + | 1.59966e7i | 0.155334 | + | 0.880941i | ||||
\(802\) | −1.29065e7 | − | 1.08299e7i | −0.708555 | − | 0.594548i | ||||
\(803\) | 1.21576e7 | − | 1.02014e7i | 0.665362 | − | 0.558305i | ||||
\(804\) | −388732. | + | 2.20461e6i | −0.0212085 | + | 0.120280i | ||||
\(805\) | −229547. | + | 397588.i | −0.0124848 | + | 0.0216244i | ||||
\(806\) | 6.86234e6 | + | 1.18859e7i | 0.372079 | + | 0.644459i | ||||
\(807\) | −1.36427e7 | + | 4.96555e6i | −0.737424 | + | 0.268400i | ||||
\(808\) | 9.54944e6 | − | 3.47571e6i | 0.514576 | − | 0.187290i | ||||
\(809\) | −8.86189e6 | − | 1.53492e7i | −0.476053 | − | 0.824548i | 0.523571 | − | 0.851982i | \(-0.324600\pi\) |
−0.999624 | + | 0.0274345i | \(0.991266\pi\) | |||||||
\(810\) | 1.81871e6 | − | 3.15009e6i | 0.0973980 | − | 0.168698i | ||||
\(811\) | 4.24493e6 | − | 2.40742e7i | 0.226631 | − | 1.28529i | −0.632912 | − | 0.774223i | \(-0.718141\pi\) |
0.859543 | − | 0.511063i | \(-0.170748\pi\) | |||||||
\(812\) | 294352. | − | 246991.i | 0.0156667 | − | 0.0131459i | ||||
\(813\) | 5.85615e6 | + | 4.91389e6i | 0.310732 | + | 0.260735i | ||||
\(814\) | 4.32335e6 | + | 2.45189e7i | 0.228697 | + | 1.29700i | ||||
\(815\) | 3.02409e6 | + | 1.10068e6i | 0.159478 | + | 0.0580452i | ||||
\(816\) | 3.78186e6 | 0.198829 | ||||||||
\(817\) | −2.05348e7 | + | 7.89785e6i | −1.07631 | + | 0.413956i | ||||
\(818\) | −4.46363e6 | −0.233241 | ||||||||
\(819\) | −1.63808e6 | − | 596212.i | −0.0853346 | − | 0.0310593i | ||||
\(820\) | −1.22562e6 | − | 6.95083e6i | −0.0636533 | − | 0.360996i | ||||
\(821\) | 9.95074e6 | + | 8.34966e6i | 0.515225 | + | 0.432325i | 0.862964 | − | 0.505266i | \(-0.168606\pi\) |
−0.347738 | + | 0.937592i | \(0.613050\pi\) | |||||||
\(822\) | 9.79578e6 | − | 8.21963e6i | 0.505661 | − | 0.424300i | ||||
\(823\) | −2.67764e6 | + | 1.51857e7i | −0.137801 | + | 0.781509i | 0.835067 | + | 0.550148i | \(0.185429\pi\) |
−0.972868 | + | 0.231361i | \(0.925682\pi\) | |||||||
\(824\) | −3.93136e6 | + | 6.80931e6i | −0.201709 | + | 0.349370i | ||||
\(825\) | 1.49955e6 | + | 2.59729e6i | 0.0767053 | + | 0.132857i | ||||
\(826\) | 1.12147e6 | − | 408182.i | 0.0571923 | − | 0.0208163i | ||||
\(827\) | −2.37827e7 | + | 8.65621e6i | −1.20920 | + | 0.440113i | −0.866426 | − | 0.499305i | \(-0.833589\pi\) |
−0.342774 | + | 0.939418i | \(0.611366\pi\) | |||||||
\(828\) | −707884. | − | 1.22609e6i | −0.0358828 | − | 0.0621508i | ||||
\(829\) | −1.04160e7 | + | 1.80411e7i | −0.526400 | + | 0.911751i | 0.473127 | + | 0.880994i | \(0.343125\pi\) |
−0.999527 | + | 0.0307572i | \(0.990208\pi\) | |||||||
\(830\) | −1.58914e6 | + | 9.01246e6i | −0.0800695 | + | 0.454097i | ||||
\(831\) | 1.12414e6 | − | 943268.i | 0.0564701 | − | 0.0473841i | ||||
\(832\) | −1.64363e6 | − | 1.37917e6i | −0.0823180 | − | 0.0690730i | ||||
\(833\) | 5.37149e6 | + | 3.04632e7i | 0.268214 | + | 1.52112i | ||||
\(834\) | 4.47353e6 | + | 1.62823e6i | 0.222708 | + | 0.0810590i | ||||
\(835\) | −8.77416e6 | −0.435501 | ||||||||
\(836\) | 9.14558e6 | − | 1.65243e7i | 0.452580 | − | 0.817725i | ||||
\(837\) | 2.18514e7 | 1.07812 | ||||||||
\(838\) | 1.09700e7 | + | 3.99277e6i | 0.539632 | + | 0.196410i | ||||
\(839\) | −1.95782e6 | − | 1.11034e7i | −0.0960215 | − | 0.544565i | −0.994430 | − | 0.105403i | \(-0.966387\pi\) |
0.898408 | − | 0.439162i | \(-0.144724\pi\) | |||||||
\(840\) | 362400. | + | 304090.i | 0.0177211 | + | 0.0148698i | ||||
\(841\) | −1.44035e7 | + | 1.20860e7i | −0.702227 | + | 0.589239i | ||||
\(842\) | −408682. | + | 2.31775e6i | −0.0198658 | + | 0.112664i | ||||
\(843\) | −4.08529e6 | + | 7.07592e6i | −0.197995 | + | 0.342937i | ||||
\(844\) | 6.65608e6 | + | 1.15287e7i | 0.321634 | + | 0.557087i | ||||
\(845\) | −4.65769e6 | + | 1.69526e6i | −0.224403 | + | 0.0816761i | ||||
\(846\) | −1.12414e7 | + | 4.09153e6i | −0.540001 | + | 0.196544i | ||||
\(847\) | −3.68968e6 | − | 6.39072e6i | −0.176718 | − | 0.306084i | ||||
\(848\) | 1.10782e6 | − | 1.91880e6i | 0.0529028 | − | 0.0916304i | ||||
\(849\) | 263011. | − | 1.49161e6i | 0.0125229 | − | 0.0710208i | ||||
\(850\) | 2.92539e6 | − | 2.45469e6i | 0.138879 | − | 0.116533i | ||||
\(851\) | 3.10505e6 | + | 2.60545e6i | 0.146976 | + | 0.123327i | ||||
\(852\) | −1.03969e6 | − | 5.89640e6i | −0.0490690 | − | 0.278284i | ||||
\(853\) | 821423. | + | 298974.i | 0.0386540 | + | 0.0140689i | 0.361275 | − | 0.932459i | \(-0.382342\pi\) |
−0.322621 | + | 0.946528i | \(0.604564\pi\) | |||||||
\(854\) | 65562.3 | 0.00307616 | ||||||||
\(855\) | 1.09976e7 | − | 9.57261e6i | 0.514498 | − | 0.447832i | ||||
\(856\) | −4.01647e6 | −0.187353 | ||||||||
\(857\) | −2.96364e7 | − | 1.07868e7i | −1.37839 | − | 0.501694i | −0.456703 | − | 0.889619i | \(-0.650970\pi\) |
−0.921691 | + | 0.387925i | \(0.873192\pi\) | |||||||
\(858\) | −2.14677e6 | − | 1.21749e7i | −0.0995558 | − | 0.564609i | ||||
\(859\) | 7.71474e6 | + | 6.47343e6i | 0.356729 | + | 0.299331i | 0.803485 | − | 0.595325i | \(-0.202977\pi\) |
−0.446756 | + | 0.894656i | \(0.647421\pi\) | |||||||
\(860\) | −8.76625e6 | + | 7.35576e6i | −0.404173 | + | 0.339142i | ||||
\(861\) | −216390. | + | 1.22721e6i | −0.00994785 | + | 0.0564170i | ||||
\(862\) | −6.39327e6 | + | 1.10735e7i | −0.293059 | + | 0.507593i | ||||
\(863\) | 6.36115e6 | + | 1.10178e7i | 0.290743 | + | 0.503581i | 0.973986 | − | 0.226610i | \(-0.0727643\pi\) |
−0.683243 | + | 0.730191i | \(0.739431\pi\) | |||||||
\(864\) | −3.21005e6 | + | 1.16836e6i | −0.146294 | + | 0.0532467i | ||||
\(865\) | −2.58855e7 | + | 9.42154e6i | −1.17629 | + | 0.428136i | ||||
\(866\) | 7.96480e6 | + | 1.37954e7i | 0.360894 | + | 0.625087i | ||||
\(867\) | 8.28944e6 | − | 1.43577e7i | 0.374522 | − | 0.648691i | ||||
\(868\) | 334349. | − | 1.89619e6i | 0.0150626 | − | 0.0854244i | ||||
\(869\) | 4.89568e7 | − | 4.10796e7i | 2.19919 | − | 1.84534i | ||||
\(870\) | 1.61157e6 | + | 1.35226e6i | 0.0721855 | + | 0.0605708i | ||||
\(871\) | −1.61808e6 | − | 9.17656e6i | −0.0722692 | − | 0.409859i | ||||
\(872\) | 363009. | + | 132124.i | 0.0161669 | + | 0.00588426i | ||||
\(873\) | 1.06326e7 | 0.472176 | ||||||||
\(874\) | −588650. | − | 3.01790e6i | −0.0260662 | − | 0.133637i | ||||
\(875\) | 3.41456e6 | 0.150770 | ||||||||
\(876\) | −2.50194e6 | − | 910630.i | −0.110158 | − | 0.0400942i | ||||
\(877\) | −6.47921e6 | − | 3.67454e7i | −0.284461 | − | 1.61326i | −0.707204 | − | 0.707009i | \(-0.750044\pi\) |
0.422743 | − | 0.906249i | \(-0.361067\pi\) | |||||||
\(878\) | 1.61484e7 | + | 1.35501e7i | 0.706958 | + | 0.593209i | ||||
\(879\) | 959039. | − | 804730.i | 0.0418663 | − | 0.0351300i | ||||
\(880\) | 1.70581e6 | − | 9.67413e6i | 0.0742547 | − | 0.421119i | ||||
\(881\) | −1.13161e7 | + | 1.96000e7i | −0.491197 | + | 0.850777i | −0.999949 | − | 0.0101356i | \(-0.996774\pi\) |
0.508752 | + | 0.860913i | \(0.330107\pi\) | |||||||
\(882\) | −5.96641e6 | − | 1.03341e7i | −0.258251 | − | 0.447303i | ||||
\(883\) | −2.52848e7 | + | 9.20292e6i | −1.09133 | + | 0.397213i | −0.824115 | − | 0.566422i | \(-0.808327\pi\) |
−0.267220 | + | 0.963636i | \(0.586105\pi\) | |||||||
\(884\) | −1.47924e7 | + | 5.38401e6i | −0.636662 | + | 0.231726i | ||||
\(885\) | 3.26703e6 | + | 5.65866e6i | 0.140215 | + | 0.242860i | ||||
\(886\) | −3.87626e6 | + | 6.71388e6i | −0.165893 | + | 0.287335i | ||||
\(887\) | −660555. | + | 3.74619e6i | −0.0281903 | + | 0.159875i | −0.995653 | − | 0.0931376i | \(-0.970310\pi\) |
0.967463 | + | 0.253013i | \(0.0814215\pi\) | |||||||
\(888\) | 3.19964e6 | − | 2.68482e6i | 0.136166 | − | 0.114257i | ||||
\(889\) | 3.28569e6 | + | 2.75702e6i | 0.139435 | + | 0.117000i | ||||
\(890\) | 3.18625e6 | + | 1.80701e7i | 0.134836 | + | 0.764692i | ||||
\(891\) | 1.25310e7 | + | 4.56092e6i | 0.528801 | + | 0.192468i | ||||
\(892\) | −1.31148e6 | −0.0551887 | ||||||||
\(893\) | −2.59767e7 | + | 470262.i | −1.09007 | + | 0.0197338i | ||||
\(894\) | 368241. | 0.0154095 | ||||||||
\(895\) | −8.14127e6 | − | 2.96318e6i | −0.339730 | − | 0.123652i | ||||
\(896\) | 52269.3 | + | 296434.i | 0.00217509 | + | 0.0123355i | ||||
\(897\) | −1.54182e6 | − | 1.29374e6i | −0.0639812 | − | 0.0536866i | ||||
\(898\) | −1.68861e7 | + | 1.41691e7i | −0.698775 | + | 0.586342i | ||||
\(899\) | 1.48682e6 | − | 8.43220e6i | 0.0613565 | − | 0.347970i | ||||
\(900\) | −736577. | + | 1.27579e6i | −0.0303118 | + | 0.0525016i | ||||
\(901\) | −8.12780e6 | − | 1.40778e7i | −0.333550 | − | 0.577726i | ||||
\(902\) | 2.43152e7 | − | 8.85003e6i | 0.995090 | − | 0.362183i | ||||
\(903\) | 1.89857e6 | − | 691024.i | 0.0774832 | − | 0.0282016i | ||||
\(904\) | −8.57547e6 | − | 1.48532e7i | −0.349009 | − | 0.604502i | ||||
\(905\) | 1.74370e7 | − | 3.02017e7i | 0.707700 | − | 1.22577i | ||||
\(906\) | −21395.8 | + | 121341.i | −0.000865978 | + | 0.00491121i | ||||
\(907\) | 2.92894e7 | − | 2.45767e7i | 1.18220 | − | 0.991985i | 0.182240 | − | 0.983254i | \(-0.441665\pi\) |
0.999962 | − | 0.00873128i | \(-0.00277929\pi\) | |||||||
\(908\) | 874993. | + | 734206.i | 0.0352200 | + | 0.0295531i | ||||
\(909\) | 4.99443e6 | + | 2.83248e7i | 0.200482 | + | 1.13699i | ||||
\(910\) | −1.85041e6 | − | 673495.i | −0.0740738 | − | 0.0269607i | ||||
\(911\) | 4.14270e7 | 1.65382 | 0.826908 | − | 0.562337i | \(-0.190098\pi\) | ||||
0.826908 | + | 0.562337i | \(0.190098\pi\) | |||||||
\(912\) | −3.16792e6 | + | 57349.5i | −0.126121 | + | 0.00228319i | ||||
\(913\) | −3.35506e7 | −1.33206 | ||||||||
\(914\) | 3.04648e7 | + | 1.10883e7i | 1.20624 | + | 0.439034i | ||||
\(915\) | 62331.2 | + | 353498.i | 0.00246123 | + | 0.0139583i | ||||
\(916\) | 1.91965e7 | + | 1.61078e7i | 0.755933 | + | 0.634303i | ||||
\(917\) | 2.96635e6 | − | 2.48906e6i | 0.116493 | − | 0.0977489i | ||||
\(918\) | −4.35212e6 | + | 2.46821e7i | −0.170449 | + | 0.966663i | ||||
\(919\) | 7.45887e6 | − | 1.29191e7i | 0.291329 | − | 0.504597i | −0.682795 | − | 0.730610i | \(-0.739236\pi\) |
0.974124 | + | 0.226013i | \(0.0725692\pi\) | |||||||
\(920\) | −799642. | − | 1.38502e6i | −0.0311477 | − | 0.0539494i | ||||
\(921\) | −6.90115e6 | + | 2.51181e6i | −0.268085 | + | 0.0975750i | ||||
\(922\) | 3.90643e6 | − | 1.42182e6i | 0.151339 | − | 0.0550831i | ||||
\(923\) | 1.24610e7 | + | 2.15831e7i | 0.481448 | + | 0.833892i | ||||
\(924\) | −867185. | + | 1.50201e6i | −0.0334143 | + | 0.0578752i | ||||
\(925\) | 732388. | − | 4.15358e6i | 0.0281441 | − | 0.159613i | ||||
\(926\) | −2.50005e7 | + | 2.09779e7i | −0.958122 | + | 0.803960i | ||||
\(927\) | −1.70471e7 | − | 1.43042e7i | −0.651554 | − | 0.546719i | ||||
\(928\) | 232438. | + | 1.31822e6i | 0.00886006 | + | 0.0502479i | ||||
\(929\) | −2.01726e7 | − | 7.34223e6i | −0.766872 | − | 0.279119i | −0.0711848 | − | 0.997463i | \(-0.522678\pi\) |
−0.695688 | + | 0.718344i | \(0.744900\pi\) | |||||||
\(930\) | 1.05417e7 | 0.399672 | ||||||||
\(931\) | −4.96144e6 | − | 2.54364e7i | −0.187600 | − | 0.961792i | ||||
\(932\) | 7.81018e6 | 0.294524 | ||||||||
\(933\) | 737371. | + | 268381.i | 0.0277320 | + | 0.0100936i | ||||
\(934\) | −2.92065e6 | − | 1.65639e7i | −0.109550 | − | 0.621290i | ||||
\(935\) | −5.52102e7 | − | 4.63268e7i | −2.06533 | − | 1.73302i | ||||
\(936\) | 4.65186e6 | − | 3.90337e6i | 0.173555 | − | 0.145630i | ||||
\(937\) | −4.16006e6 | + | 2.35929e7i | −0.154793 | + | 0.877873i | 0.804182 | + | 0.594383i | \(0.202604\pi\) |
−0.958975 | + | 0.283491i | \(0.908508\pi\) | |||||||
\(938\) | −653621. | + | 1.13210e6i | −0.0242560 | + | 0.0420126i | ||||
\(939\) | −7.84874e6 | − | 1.35944e7i | −0.290493 | − | 0.503149i | ||||
\(940\) | −1.26985e7 | + | 4.62189e6i | −0.468742 | + | 0.170608i | ||||
\(941\) | −1.59067e7 | + | 5.78958e6i | −0.585608 | + | 0.213144i | −0.617797 | − | 0.786338i | \(-0.711974\pi\) |
0.0321886 | + | 0.999482i | \(0.489752\pi\) | |||||||
\(942\) | 3.20103e6 | + | 5.54435e6i | 0.117534 | + | 0.203574i | ||||
\(943\) | 2.10634e6 | − | 3.64828e6i | 0.0771345 | − | 0.133601i | ||||
\(944\) | −721930. | + | 4.09427e6i | −0.0263673 | + | 0.149536i | ||||
\(945\) | −2.40167e6 | + | 2.01524e6i | −0.0874850 | + | 0.0734086i | ||||
\(946\) | −3.21382e7 | − | 2.69671e7i | −1.16760 | − | 0.979731i | ||||
\(947\) | 3.73838e6 | + | 2.12014e7i | 0.135459 | + | 0.768226i | 0.974539 | + | 0.224218i | \(0.0719828\pi\) |
−0.839080 | + | 0.544008i | \(0.816906\pi\) | |||||||
\(948\) | −1.00749e7 | − | 3.66697e6i | −0.364100 | − | 0.132522i | ||||
\(949\) | 1.10825e7 | 0.399460 | ||||||||
\(950\) | −2.41326e6 | + | 2.10056e6i | −0.0867551 | + | 0.0755138i | ||||
\(951\) | 2.26324e7 | 0.811481 | ||||||||
\(952\) | 2.07523e6 | + | 755323.i | 0.0742121 | + | 0.0270110i | ||||
\(953\) | −1.47906e6 | − | 8.38817e6i | −0.0527538 | − | 0.299181i | 0.947003 | − | 0.321224i | \(-0.104094\pi\) |
−0.999757 | + | 0.0220424i | \(0.992983\pi\) | |||||||
\(954\) | 4.80370e6 | + | 4.03078e6i | 0.170885 | + | 0.143390i | ||||
\(955\) | 1.26295e7 | − | 1.05974e7i | 0.448104 | − | 0.376004i | ||||
\(956\) | 4.31101e6 | − | 2.44489e7i | 0.152558 | − | 0.865198i | ||||
\(957\) | −3.85631e6 | + | 6.67932e6i | −0.136111 | + | 0.235750i | ||||
\(958\) | −1.95938e7 | − | 3.39375e7i | −0.689771 | − | 1.19472i | ||||
\(959\) | 7.01692e6 | − | 2.55395e6i | 0.246377 | − | 0.0896738i | ||||
\(960\) | −1.54862e6 | + | 563650.i | −0.0542332 | + | 0.0197393i | ||||
\(961\) | −7.13784e6 | − | 1.23631e7i | −0.249321 | − | 0.431836i | ||||
\(962\) | −8.69292e6 | + | 1.50566e7i | −0.302850 | + | 0.524552i | ||||
\(963\) | 1.97396e6 | − | 1.11949e7i | 0.0685918 | − | 0.389003i | ||||
\(964\) | −7.56194e6 | + | 6.34522e6i | −0.262084 | + | 0.219915i | ||||
\(965\) | 1.05741e7 | + | 8.87274e6i | 0.365532 | + | 0.306718i | ||||
\(966\) | 49031.7 | + | 278073.i | 0.00169057 | + | 0.00958772i | ||||
\(967\) | −5.80122e6 | − | 2.11147e6i | −0.199505 | − | 0.0726138i | 0.240335 | − | 0.970690i | \(-0.422743\pi\) |
−0.439840 | + | 0.898076i | \(0.644965\pi\) | |||||||
\(968\) | 2.57065e7 | 0.881767 | ||||||||
\(969\) | −1.12567e7 | + | 2.03388e7i | −0.385127 | + | 0.695850i | ||||
\(970\) | 1.20108e7 | 0.409868 | ||||||||
\(971\) | 2.01449e6 | + | 733214.i | 0.0685672 | + | 0.0249564i | 0.376076 | − | 0.926589i | \(-0.377273\pi\) |
−0.307509 | + | 0.951545i | \(0.599495\pi\) | |||||||
\(972\) | −2.64076e6 | − | 1.49765e7i | −0.0896526 | − | 0.508445i | ||||
\(973\) | 2.12958e6 | + | 1.78693e6i | 0.0721128 | + | 0.0605098i | ||||
\(974\) | 2.10645e7 | − | 1.76752e7i | 0.711467 | − | 0.596991i | ||||
\(975\) | −363668. | + | 2.06247e6i | −0.0122516 | + | 0.0694825i | ||||
\(976\) | −114195. | + | 197792.i | −0.00383728 | + | 0.00664636i | ||||
\(977\) | 2.31877e6 | + | 4.01623e6i | 0.0777179 | + | 0.134611i | 0.902265 | − | 0.431182i | \(-0.141903\pi\) |
−0.824547 | + | 0.565793i | \(0.808570\pi\) | |||||||
\(978\) | 1.85994e6 | − | 676963.i | 0.0621802 | − | 0.0226317i | ||||
\(979\) | −6.32125e7 | + | 2.30075e7i | −2.10788 | + | 0.767207i | ||||
\(980\) | −6.73979e6 | − | 1.16737e7i | −0.224172 | − | 0.388277i | ||||
\(981\) | −546669. | + | 946859.i | −0.0181364 | + | 0.0314132i | ||||
\(982\) | −1.60549e6 | + | 9.10521e6i | −0.0531288 | + | 0.301308i | ||||
\(983\) | −1.36635e7 | + | 1.14651e7i | −0.451003 | + | 0.378436i | −0.839808 | − | 0.542884i | \(-0.817332\pi\) |
0.388805 | + | 0.921320i | \(0.372888\pi\) | |||||||
\(984\) | −3.32540e6 | − | 2.79034e6i | −0.109485 | − | 0.0918692i | ||||
\(985\) | 1.47001e6 | + | 8.33683e6i | 0.0482757 | + | 0.273785i | ||||
\(986\) | 9.22841e6 | + | 3.35887e6i | 0.302298 | + | 0.110027i | ||||
\(987\) | 2.38588e6 | 0.0779572 | ||||||||
\(988\) | 1.23094e7 | − | 4.73429e6i | 0.401185 | − | 0.154299i | ||||
\(989\) | −6.83018e6 | −0.222045 | ||||||||
\(990\) | 2.61258e7 | + | 9.50901e6i | 0.847192 | + | 0.308353i | ||||
\(991\) | −3.76891e6 | − | 2.13745e7i | −0.121908 | − | 0.691373i | −0.983097 | − | 0.183088i | \(-0.941391\pi\) |
0.861189 | − | 0.508285i | \(-0.169720\pi\) | |||||||
\(992\) | 5.13815e6 | + | 4.31142e6i | 0.165778 | + | 0.139105i | ||||
\(993\) | −7.14723e6 | + | 5.99724e6i | −0.230020 | + | 0.193009i | ||||
\(994\) | 607129. | − | 3.44320e6i | 0.0194902 | − | 0.110534i | ||||
\(995\) | −1.70361e7 | + | 2.95074e7i | −0.545522 | + | 0.944871i | ||||
\(996\) | 2.81428e6 | + | 4.87447e6i | 0.0898915 | + | 0.155697i | ||||
\(997\) | −7.25402e6 | + | 2.64025e6i | −0.231122 | + | 0.0841215i | −0.454985 | − | 0.890499i | \(-0.650355\pi\) |
0.223863 | + | 0.974621i | \(0.428133\pi\) | |||||||
\(998\) | −1.50956e7 | + | 5.49434e6i | −0.479760 | + | 0.174618i | ||||
\(999\) | 1.38402e7 | + | 2.39719e7i | 0.438761 | + | 0.759957i |
(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 | 38.6.e.b.23.2 | yes | 30 | |
19.5 | even | 9 | inner | 38.6.e.b.5.2 | ✓ | 30 | |
19.9 | even | 9 | 722.6.a.r.1.6 | 15 | |||
19.10 | odd | 18 | 722.6.a.q.1.10 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.6.e.b.5.2 | ✓ | 30 | 19.5 | even | 9 | inner | |
38.6.e.b.23.2 | yes | 30 | 1.1 | even | 1 | trivial | |
722.6.a.q.1.10 | 15 | 19.10 | odd | 18 | |||
722.6.a.r.1.6 | 15 | 19.9 | even | 9 |