Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,6,Mod(5,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.g (of order \(22\), degree \(10\), 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: | \(11.0664835671\) |
Analytic rank: | \(0\) |
Dimension: | \(380\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.8 | ||
Character | \(\chi\) | \(=\) | 69.5 |
Dual form | 69.6.g.a.14.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.97556 | + | 6.72815i | −0.349233 | + | 1.18938i | 0.578358 | + | 0.815783i | \(0.303694\pi\) |
−0.927591 | + | 0.373596i | \(0.878125\pi\) | |||||||
\(3\) | −11.2628 | + | 10.7772i | −0.722511 | + | 0.691359i | ||||
\(4\) | −14.4450 | − | 9.28323i | −0.451406 | − | 0.290101i | ||||
\(5\) | −7.37109 | + | 51.2671i | −0.131858 | + | 0.917093i | 0.811272 | + | 0.584669i | \(0.198776\pi\) |
−0.943130 | + | 0.332424i | \(0.892134\pi\) | |||||||
\(6\) | −50.2603 | − | 97.0690i | −0.569964 | − | 1.10079i | ||||
\(7\) | −115.006 | + | 52.5213i | −0.887102 | + | 0.405126i | −0.806233 | − | 0.591599i | \(-0.798497\pi\) |
−0.0808698 | + | 0.996725i | \(0.525770\pi\) | |||||||
\(8\) | −78.5868 | + | 68.0959i | −0.434135 | + | 0.376180i | ||||
\(9\) | 10.7027 | − | 242.764i | 0.0440441 | − | 0.999030i | ||||
\(10\) | −330.370 | − | 150.875i | −1.04472 | − | 0.477109i | ||||
\(11\) | 298.269 | − | 87.5798i | 0.743236 | − | 0.218234i | 0.111875 | − | 0.993722i | \(-0.464314\pi\) |
0.631362 | + | 0.775488i | \(0.282496\pi\) | |||||||
\(12\) | 262.739 | − | 51.1215i | 0.526710 | − | 0.102483i | ||||
\(13\) | −505.521 | + | 1106.94i | −0.829624 | + | 1.81662i | −0.365815 | + | 0.930688i | \(0.619210\pi\) |
−0.463809 | + | 0.885935i | \(0.653518\pi\) | |||||||
\(14\) | −126.170 | − | 877.533i | −0.172043 | − | 1.19658i | ||||
\(15\) | −469.497 | − | 656.852i | −0.538772 | − | 0.753771i | ||||
\(16\) | −531.162 | − | 1163.08i | −0.518713 | − | 1.13582i | ||||
\(17\) | 1360.87 | − | 874.576i | 1.14207 | − | 0.733965i | 0.174026 | − | 0.984741i | \(-0.444322\pi\) |
0.968045 | + | 0.250776i | \(0.0806858\pi\) | |||||||
\(18\) | 1612.21 | + | 551.605i | 1.17284 | + | 0.401280i | ||||
\(19\) | 323.799 | − | 503.841i | 0.205774 | − | 0.320191i | −0.722992 | − | 0.690856i | \(-0.757234\pi\) |
0.928767 | + | 0.370665i | \(0.120870\pi\) | |||||||
\(20\) | 582.399 | − | 672.124i | 0.325571 | − | 0.375729i | ||||
\(21\) | 729.254 | − | 1830.98i | 0.360853 | − | 0.906015i | ||||
\(22\) | 2179.82i | 0.960205i | ||||||||
\(23\) | 2314.88 | + | 1038.11i | 0.912450 | + | 0.409188i | ||||
\(24\) | 151.225 | − | 1613.90i | 0.0535916 | − | 0.571937i | ||||
\(25\) | 424.438 | + | 124.626i | 0.135820 | + | 0.0398804i | ||||
\(26\) | −6448.95 | − | 5588.05i | −1.87092 | − | 1.62116i | ||||
\(27\) | 2495.78 | + | 2849.56i | 0.658866 | + | 0.752260i | ||||
\(28\) | 2148.82 | + | 308.954i | 0.517971 | + | 0.0744729i | ||||
\(29\) | 226.976 | + | 353.181i | 0.0501169 | + | 0.0779834i | 0.865408 | − | 0.501068i | \(-0.167059\pi\) |
−0.815291 | + | 0.579051i | \(0.803423\pi\) | |||||||
\(30\) | 5346.92 | − | 1861.19i | 1.08468 | − | 0.377562i | ||||
\(31\) | −1543.49 | − | 1781.28i | −0.288469 | − | 0.332911i | 0.592956 | − | 0.805235i | \(-0.297961\pi\) |
−0.881425 | + | 0.472324i | \(0.843415\pi\) | |||||||
\(32\) | 5581.07 | − | 802.437i | 0.963480 | − | 0.138527i | ||||
\(33\) | −2415.49 | + | 4200.91i | −0.386118 | + | 0.671520i | ||||
\(34\) | 3195.80 | + | 10883.9i | 0.474113 | + | 1.61468i | ||||
\(35\) | −1844.90 | − | 6283.14i | −0.254567 | − | 0.866975i | ||||
\(36\) | −2408.24 | + | 3407.37i | −0.309701 | + | 0.438190i | ||||
\(37\) | −6930.64 | + | 996.476i | −0.832280 | + | 0.119664i | −0.545266 | − | 0.838263i | \(-0.683571\pi\) |
−0.287013 | + | 0.957927i | \(0.592662\pi\) | |||||||
\(38\) | 2750.23 | + | 3173.93i | 0.308965 | + | 0.356565i | ||||
\(39\) | −6236.12 | − | 17915.4i | −0.656527 | − | 1.88610i | ||||
\(40\) | −2911.80 | − | 4530.85i | −0.287748 | − | 0.447744i | ||||
\(41\) | −16312.4 | − | 2345.37i | −1.51551 | − | 0.217898i | −0.666193 | − | 0.745779i | \(-0.732077\pi\) |
−0.849318 | + | 0.527882i | \(0.822986\pi\) | |||||||
\(42\) | 10878.4 | + | 8523.74i | 0.951573 | + | 0.745602i | ||||
\(43\) | −14074.4 | − | 12195.6i | −1.16081 | − | 1.00584i | −0.999822 | − | 0.0188869i | \(-0.993988\pi\) |
−0.160984 | − | 0.986957i | \(-0.551467\pi\) | |||||||
\(44\) | −5121.52 | − | 1503.81i | −0.398811 | − | 0.117101i | ||||
\(45\) | 12366.9 | + | 2338.13i | 0.910395 | + | 0.172123i | ||||
\(46\) | −11557.7 | + | 13524.0i | −0.805338 | + | 0.942347i | ||||
\(47\) | 25797.9i | 1.70349i | 0.523959 | + | 0.851744i | \(0.324455\pi\) | ||||
−0.523959 | + | 0.851744i | \(0.675545\pi\) | |||||||
\(48\) | 18517.2 | + | 7375.15i | 1.16004 | + | 0.462027i | ||||
\(49\) | −538.447 | + | 621.401i | −0.0320371 | + | 0.0369728i | ||||
\(50\) | −1677.01 | + | 2609.47i | −0.0948658 | + | 0.147614i | ||||
\(51\) | −5901.71 | + | 24516.6i | −0.317726 | + | 1.31988i | ||||
\(52\) | 17578.2 | − | 11296.8i | 0.901501 | − | 0.579359i | ||||
\(53\) | −10077.7 | − | 22067.1i | −0.492802 | − | 1.07909i | −0.978742 | − | 0.205094i | \(-0.934250\pi\) |
0.485940 | − | 0.873992i | \(-0.338477\pi\) | |||||||
\(54\) | −24102.8 | + | 11162.5i | −1.12482 | + | 0.520928i | ||||
\(55\) | 2291.39 | + | 15937.0i | 0.102139 | + | 0.710393i | ||||
\(56\) | 5461.44 | − | 11958.9i | 0.232722 | − | 0.509590i | ||||
\(57\) | 1783.12 | + | 9164.33i | 0.0726930 | + | 0.373606i | ||||
\(58\) | −2824.66 | + | 829.394i | −0.110254 | + | 0.0323736i | ||||
\(59\) | 21342.0 | + | 9746.58i | 0.798189 | + | 0.364521i | 0.772392 | − | 0.635146i | \(-0.219060\pi\) |
0.0257974 | + | 0.999667i | \(0.491788\pi\) | |||||||
\(60\) | 684.175 | + | 13846.7i | 0.0245352 | + | 0.496555i | ||||
\(61\) | 2620.85 | − | 2270.98i | 0.0901814 | − | 0.0781426i | −0.608603 | − | 0.793475i | \(-0.708270\pi\) |
0.698785 | + | 0.715332i | \(0.253724\pi\) | |||||||
\(62\) | 15034.0 | − | 6865.78i | 0.496700 | − | 0.226835i | ||||
\(63\) | 11519.4 | + | 28481.4i | 0.365661 | + | 0.904085i | ||||
\(64\) | 196.136 | − | 1364.15i | 0.00598558 | − | 0.0416307i | ||||
\(65\) | −53023.2 | − | 34075.9i | −1.55662 | − | 1.00038i | ||||
\(66\) | −23492.4 | − | 24550.9i | −0.663847 | − | 0.693758i | ||||
\(67\) | 8354.29 | − | 28452.1i | 0.227364 | − | 0.774332i | −0.764230 | − | 0.644944i | \(-0.776881\pi\) |
0.991594 | − | 0.129388i | \(-0.0413012\pi\) | |||||||
\(68\) | −27776.6 | −0.728461 | ||||||||
\(69\) | −37260.0 | + | 13256.0i | −0.942151 | + | 0.335188i | ||||
\(70\) | 45918.6 | 1.12006 | ||||||||
\(71\) | −12431.1 | + | 42336.5i | −0.292661 | + | 0.996710i | 0.673590 | + | 0.739105i | \(0.264751\pi\) |
−0.966250 | + | 0.257605i | \(0.917067\pi\) | |||||||
\(72\) | 15690.1 | + | 19806.9i | 0.356694 | + | 0.450282i | ||||
\(73\) | 26734.2 | + | 17181.0i | 0.587165 | + | 0.377348i | 0.800233 | − | 0.599689i | \(-0.204709\pi\) |
−0.213068 | + | 0.977037i | \(0.568346\pi\) | |||||||
\(74\) | 6987.48 | − | 48599.0i | 0.148334 | − | 1.03169i | ||||
\(75\) | −6123.50 | + | 3170.62i | −0.125703 | + | 0.0650865i | ||||
\(76\) | −9354.54 | + | 4272.07i | −0.185775 | + | 0.0848408i | ||||
\(77\) | −29702.8 | + | 25737.7i | −0.570915 | + | 0.494700i | ||||
\(78\) | 132857. | − | 6564.57i | 2.47257 | − | 0.122172i | ||||
\(79\) | 40621.6 | + | 18551.3i | 0.732301 | + | 0.334431i | 0.746425 | − | 0.665470i | \(-0.231769\pi\) |
−0.0141240 | + | 0.999900i | \(0.504496\pi\) | |||||||
\(80\) | 63543.0 | − | 18657.9i | 1.11005 | − | 0.325940i | ||||
\(81\) | −58819.9 | − | 5196.47i | −0.996120 | − | 0.0880027i | ||||
\(82\) | 48006.2 | − | 105119.i | 0.788430 | − | 1.72642i | ||||
\(83\) | −10340.6 | − | 71920.4i | −0.164759 | − | 1.14593i | −0.889510 | − | 0.456916i | \(-0.848954\pi\) |
0.724751 | − | 0.689011i | \(-0.241955\pi\) | |||||||
\(84\) | −27531.5 | + | 19678.6i | −0.425727 | + | 0.304296i | ||||
\(85\) | 34805.9 | + | 76214.2i | 0.522523 | + | 1.14416i | ||||
\(86\) | 109858. | − | 70601.7i | 1.60172 | − | 1.02936i | ||||
\(87\) | −6362.70 | − | 1531.65i | −0.0901246 | − | 0.0216951i | ||||
\(88\) | −17476.2 | + | 27193.5i | −0.240570 | + | 0.374334i | ||||
\(89\) | −6573.70 | + | 7586.46i | −0.0879701 | + | 0.101523i | −0.798028 | − | 0.602620i | \(-0.794123\pi\) |
0.710058 | + | 0.704143i | \(0.248669\pi\) | |||||||
\(90\) | −40162.9 | + | 78587.3i | −0.522659 | + | 1.02269i | ||||
\(91\) | − | 153855.i | − | 1.94763i | ||||||
\(92\) | −23801.4 | − | 36485.0i | −0.293179 | − | 0.449413i | ||||
\(93\) | 36581.3 | + | 3427.73i | 0.438583 | + | 0.0410960i | ||||
\(94\) | −173572. | − | 50965.3i | −2.02609 | − | 0.594915i | ||||
\(95\) | 23443.7 | + | 20314.1i | 0.266512 | + | 0.230934i | ||||
\(96\) | −54210.6 | + | 69186.2i | −0.600352 | + | 0.766198i | ||||
\(97\) | −151689. | − | 21809.6i | −1.63691 | − | 0.235353i | −0.738421 | − | 0.674340i | \(-0.764428\pi\) |
−0.898493 | + | 0.438987i | \(0.855337\pi\) | |||||||
\(98\) | −3117.14 | − | 4850.37i | −0.0327862 | − | 0.0510164i | ||||
\(99\) | −18068.9 | − | 73346.5i | −0.185287 | − | 0.752127i | ||||
\(100\) | −4974.07 | − | 5740.38i | −0.0497407 | − | 0.0574038i | ||||
\(101\) | −3020.87 | + | 434.335i | −0.0294665 | + | 0.00423664i | −0.157032 | − | 0.987593i | \(-0.550193\pi\) |
0.127566 | + | 0.991830i | \(0.459284\pi\) | |||||||
\(102\) | −153292. | − | 88141.5i | −1.45888 | − | 0.838842i | ||||
\(103\) | 40313.6 | + | 137296.i | 0.374420 | + | 1.27516i | 0.904232 | + | 0.427042i | \(0.140444\pi\) |
−0.529812 | + | 0.848115i | \(0.677738\pi\) | |||||||
\(104\) | −35650.5 | − | 121415.i | −0.323209 | − | 1.10075i | ||||
\(105\) | 88493.5 | + | 50883.0i | 0.783318 | + | 0.450401i | ||||
\(106\) | 168380. | − | 24209.4i | 1.45555 | − | 0.209276i | ||||
\(107\) | 25821.5 | + | 29799.6i | 0.218033 | + | 0.251623i | 0.854220 | − | 0.519911i | \(-0.174035\pi\) |
−0.636187 | + | 0.771535i | \(0.719490\pi\) | |||||||
\(108\) | −9598.44 | − | 64330.7i | −0.0791847 | − | 0.530712i | ||||
\(109\) | −43873.5 | − | 68268.6i | −0.353701 | − | 0.550370i | 0.618122 | − | 0.786082i | \(-0.287894\pi\) |
−0.971823 | + | 0.235713i | \(0.924258\pi\) | |||||||
\(110\) | −111753. | − | 16067.6i | −0.880597 | − | 0.126611i | ||||
\(111\) | 67319.4 | − | 85916.3i | 0.518600 | − | 0.661863i | ||||
\(112\) | 122173. | + | 105864.i | 0.920303 | + | 0.797447i | ||||
\(113\) | −32154.4 | − | 9441.39i | −0.236889 | − | 0.0695568i | 0.161133 | − | 0.986933i | \(-0.448485\pi\) |
−0.398022 | + | 0.917376i | \(0.630303\pi\) | |||||||
\(114\) | −65181.6 | − | 6107.63i | −0.469746 | − | 0.0440160i | ||||
\(115\) | −70284.0 | + | 111025.i | −0.495578 | + | 0.782847i | ||||
\(116\) | − | 7208.76i | − | 0.0497411i | ||||||
\(117\) | 263314. | + | 134570.i | 1.77832 | + | 0.908830i | ||||
\(118\) | −107739. | + | 124337.i | −0.712308 | + | 0.822047i | ||||
\(119\) | −110573. | + | 172056.i | −0.715786 | + | 1.11378i | ||||
\(120\) | 81625.2 | + | 19649.1i | 0.517453 | + | 0.124563i | ||||
\(121\) | −54190.3 | + | 34826.0i | −0.336479 | + | 0.216242i | ||||
\(122\) | 10101.8 | + | 22119.9i | 0.0614469 | + | 0.134550i | ||||
\(123\) | 209001. | − | 149387.i | 1.24562 | − | 0.890329i | ||||
\(124\) | 5759.63 | + | 40059.1i | 0.0336388 | + | 0.233963i | ||||
\(125\) | −76755.6 | + | 168071.i | −0.439375 | + | 0.962097i | ||||
\(126\) | −214384. | + | 21237.6i | −1.20300 | + | 0.119173i | ||||
\(127\) | −123371. | + | 36225.0i | −0.678741 | + | 0.199296i | −0.602892 | − | 0.797823i | \(-0.705985\pi\) |
−0.0758491 | + | 0.997119i | \(0.524167\pi\) | |||||||
\(128\) | 172916. | + | 78968.2i | 0.932849 | + | 0.426018i | ||||
\(129\) | 289952. | − | 14326.8i | 1.53409 | − | 0.0758008i | ||||
\(130\) | 334018. | − | 289429.i | 1.73345 | − | 1.50205i | ||||
\(131\) | 84198.5 | − | 38452.2i | 0.428673 | − | 0.195768i | −0.189382 | − | 0.981904i | \(-0.560648\pi\) |
0.618055 | + | 0.786135i | \(0.287921\pi\) | |||||||
\(132\) | 73889.8 | − | 38258.6i | 0.369105 | − | 0.191115i | ||||
\(133\) | −10776.3 | + | 74950.8i | −0.0528251 | + | 0.367407i | ||||
\(134\) | 174925. | + | 112418.i | 0.841571 | + | 0.540845i | ||||
\(135\) | −164485. | + | 106947.i | −0.776769 | + | 0.505050i | ||||
\(136\) | −47391.2 | + | 161399.i | −0.219710 | + | 0.748264i | ||||
\(137\) | 8232.86 | 0.0374757 | 0.0187378 | − | 0.999824i | \(-0.494035\pi\) | ||||
0.0187378 | + | 0.999824i | \(0.494035\pi\) | |||||||
\(138\) | −15578.5 | − | 276879.i | −0.0696350 | − | 1.23763i | ||||
\(139\) | 65209.6 | 0.286269 | 0.143135 | − | 0.989703i | \(-0.454282\pi\) | ||||
0.143135 | + | 0.989703i | \(0.454282\pi\) | |||||||
\(140\) | −31678.3 | + | 107886.i | −0.136597 | + | 0.465207i | ||||
\(141\) | −278029. | − | 290557.i | −1.17772 | − | 1.23079i | ||||
\(142\) | −260288. | − | 167277.i | −1.08326 | − | 0.696169i | ||||
\(143\) | −53836.2 | + | 374439.i | −0.220158 | + | 1.53123i | ||||
\(144\) | −288040. | + | 116499.i | −1.15757 | + | 0.468183i | ||||
\(145\) | −19779.6 | + | 9033.04i | −0.0781263 | + | 0.0356791i | ||||
\(146\) | −168412. | + | 145929.i | −0.653868 | + | 0.566580i | ||||
\(147\) | −632.543 | − | 12801.7i | −0.00241433 | − | 0.0488624i | ||||
\(148\) | 109364. | + | 49944.7i | 0.410410 | + | 0.187428i | ||||
\(149\) | 437741. | − | 128532.i | 1.61529 | − | 0.474293i | 0.655546 | − | 0.755156i | \(-0.272439\pi\) |
0.959748 | + | 0.280863i | \(0.0906206\pi\) | |||||||
\(150\) | −9235.05 | − | 47463.5i | −0.0335128 | − | 0.172239i | ||||
\(151\) | −56593.1 | + | 123922.i | −0.201986 | + | 0.442287i | −0.983334 | − | 0.181808i | \(-0.941805\pi\) |
0.781348 | + | 0.624095i | \(0.214532\pi\) | |||||||
\(152\) | 8863.15 | + | 61644.6i | 0.0311157 | + | 0.216414i | ||||
\(153\) | −197751. | − | 339730.i | −0.682951 | − | 1.17329i | ||||
\(154\) | −114487. | − | 250691.i | −0.389004 | − | 0.851800i | ||||
\(155\) | 102698. | − | 66000.1i | 0.343347 | − | 0.220656i | ||||
\(156\) | −76231.9 | + | 316679.i | −0.250799 | + | 1.04185i | ||||
\(157\) | −104989. | + | 163366.i | −0.339934 | + | 0.528948i | −0.968567 | − | 0.248755i | \(-0.919979\pi\) |
0.628632 | + | 0.777703i | \(0.283615\pi\) | |||||||
\(158\) | −205066. | + | 236659.i | −0.653509 | + | 0.754189i | ||||
\(159\) | 351326. | + | 139928.i | 1.10209 | + | 0.438948i | ||||
\(160\) | 292040.i | 0.901866i | ||||||||
\(161\) | −320747. | + | 2192.24i | −0.975210 | + | 0.00666534i | ||||
\(162\) | 151165. | − | 385483.i | 0.452547 | − | 1.15403i | ||||
\(163\) | 111341. | + | 32692.8i | 0.328237 | + | 0.0963790i | 0.441699 | − | 0.897163i | \(-0.354376\pi\) |
−0.113462 | + | 0.993542i | \(0.536194\pi\) | |||||||
\(164\) | 213860. | + | 185311.i | 0.620898 | + | 0.538011i | ||||
\(165\) | −197564. | − | 154800.i | −0.564933 | − | 0.442652i | ||||
\(166\) | 504319. | + | 72510.2i | 1.42048 | + | 0.204234i | ||||
\(167\) | 148226. | + | 230645.i | 0.411277 | + | 0.639959i | 0.983662 | − | 0.180026i | \(-0.0576182\pi\) |
−0.572385 | + | 0.819985i | \(0.693982\pi\) | |||||||
\(168\) | 67372.3 | + | 193550.i | 0.184166 | + | 0.529078i | ||||
\(169\) | −726614. | − | 838557.i | −1.95698 | − | 2.25848i | ||||
\(170\) | −581541. | + | 83613.0i | −1.54333 | + | 0.221897i | ||||
\(171\) | −118849. | − | 83999.2i | −0.310817 | − | 0.219677i | ||||
\(172\) | 90090.7 | + | 306821.i | 0.232198 | + | 0.790794i | ||||
\(173\) | −95650.3 | − | 325755.i | −0.242980 | − | 0.827515i | −0.987187 | − | 0.159566i | \(-0.948991\pi\) |
0.744207 | − | 0.667949i | \(-0.232828\pi\) | |||||||
\(174\) | 22875.1 | − | 39783.3i | 0.0572782 | − | 0.0996156i | ||||
\(175\) | −55358.3 | + | 7959.32i | −0.136643 | + | 0.0196463i | ||||
\(176\) | −260292. | − | 300393.i | −0.633401 | − | 0.730984i | ||||
\(177\) | −345413. | + | 120234.i | −0.828715 | + | 0.288465i | ||||
\(178\) | −38056.0 | − | 59216.3i | −0.0900271 | − | 0.140085i | ||||
\(179\) | 44192.3 | + | 6353.90i | 0.103090 | + | 0.0148220i | 0.193666 | − | 0.981067i | \(-0.437962\pi\) |
−0.0905770 | + | 0.995889i | \(0.528871\pi\) | |||||||
\(180\) | −156934. | − | 148579.i | −0.361025 | − | 0.341804i | ||||
\(181\) | 9429.77 | + | 8170.95i | 0.0213946 | + | 0.0185386i | 0.665492 | − | 0.746405i | \(-0.268222\pi\) |
−0.644098 | + | 0.764943i | \(0.722767\pi\) | |||||||
\(182\) | 1.03516e6 | + | 303949.i | 2.31647 | + | 0.680178i | ||||
\(183\) | −5043.32 | + | 53823.1i | −0.0111324 | + | 0.118807i | ||||
\(184\) | −252610. | + | 76052.1i | −0.550055 | + | 0.165603i | ||||
\(185\) | − | 362659.i | − | 0.779056i | ||||||
\(186\) | −95330.9 | + | 239353.i | −0.202046 | + | 0.507289i | ||||
\(187\) | 329310. | − | 380044.i | 0.688653 | − | 0.794748i | ||||
\(188\) | 239487. | − | 372650.i | 0.494183 | − | 0.768964i | ||||
\(189\) | −436691. | − | 196633.i | −0.889242 | − | 0.400408i | ||||
\(190\) | −182990. | + | 117601.i | −0.367743 | + | 0.236334i | ||||
\(191\) | −18860.6 | − | 41299.0i | −0.0374087 | − | 0.0819137i | 0.890005 | − | 0.455951i | \(-0.150701\pi\) |
−0.927414 | + | 0.374037i | \(0.877973\pi\) | |||||||
\(192\) | 12492.7 | + | 17478.0i | 0.0244571 | + | 0.0342168i | ||||
\(193\) | 54056.8 | + | 375973.i | 0.104462 | + | 0.726547i | 0.972980 | + | 0.230890i | \(0.0741637\pi\) |
−0.868518 | + | 0.495657i | \(0.834927\pi\) | |||||||
\(194\) | 446410. | − | 977502.i | 0.851589 | − | 1.86472i | ||||
\(195\) | 964435. | − | 187651.i | 1.81630 | − | 0.353399i | ||||
\(196\) | 13546.5 | − | 3977.60i | 0.0251876 | − | 0.00739574i | ||||
\(197\) | 233358. | + | 106571.i | 0.428408 | + | 0.195647i | 0.617937 | − | 0.786228i | \(-0.287969\pi\) |
−0.189529 | + | 0.981875i | \(0.560696\pi\) | |||||||
\(198\) | 529182. | + | 23330.0i | 0.959273 | + | 0.0422913i | ||||
\(199\) | 3312.52 | − | 2870.32i | 0.00592961 | − | 0.00513804i | −0.651891 | − | 0.758313i | \(-0.726024\pi\) |
0.657820 | + | 0.753175i | \(0.271479\pi\) | |||||||
\(200\) | −41841.8 | + | 19108.5i | −0.0739665 | + | 0.0337794i | ||||
\(201\) | 212542. | + | 410487.i | 0.371068 | + | 0.716654i | ||||
\(202\) | 3045.64 | − | 21182.9i | 0.00525170 | − | 0.0365264i | ||||
\(203\) | −44653.0 | − | 28696.7i | −0.0760519 | − | 0.0488756i | ||||
\(204\) | 312843. | − | 299355.i | 0.526321 | − | 0.503629i | ||||
\(205\) | 240481. | − | 819002.i | 0.399665 | − | 1.36113i | ||||
\(206\) | −1.00339e6 | −1.64741 | ||||||||
\(207\) | 276791. | − | 550860.i | 0.448979 | − | 0.893542i | ||||
\(208\) | 1.55597e6 | 2.49370 | ||||||||
\(209\) | 52453.0 | − | 178639.i | 0.0830624 | − | 0.282885i | ||||
\(210\) | −517173. | + | 494875.i | −0.809259 | + | 0.774367i | ||||
\(211\) | 553167. | + | 355499.i | 0.855362 | + | 0.549708i | 0.893243 | − | 0.449575i | \(-0.148424\pi\) |
−0.0378809 | + | 0.999282i | \(0.512061\pi\) | |||||||
\(212\) | −59281.7 | + | 412313.i | −0.0905901 | + | 0.630068i | ||||
\(213\) | −316260. | − | 610802.i | −0.477635 | − | 0.922468i | ||||
\(214\) | −251508. | + | 114860.i | −0.375420 | + | 0.171449i | ||||
\(215\) | 728974. | − | 631660.i | 1.07551 | − | 0.931938i | ||||
\(216\) | −390179. | − | 53985.2i | −0.569022 | − | 0.0787300i | ||||
\(217\) | 271065. | + | 123791.i | 0.390772 | + | 0.178460i | ||||
\(218\) | 545996. | − | 160319.i | 0.778123 | − | 0.228477i | ||||
\(219\) | −486267. | + | 94613.6i | −0.685116 | + | 0.133304i | ||||
\(220\) | 114847. | − | 251480.i | 0.159979 | − | 0.350306i | ||||
\(221\) | 280154. | + | 1.94851e6i | 0.385847 | + | 2.68363i | ||||
\(222\) | 445063. | + | 622668.i | 0.606093 | + | 0.847957i | ||||
\(223\) | −130356. | − | 285440.i | −0.175537 | − | 0.384373i | 0.801329 | − | 0.598224i | \(-0.204127\pi\) |
−0.976866 | + | 0.213851i | \(0.931399\pi\) | |||||||
\(224\) | −599709. | + | 385410.i | −0.798584 | + | 0.513219i | ||||
\(225\) | 34797.4 | − | 101704.i | 0.0458238 | − | 0.133932i | ||||
\(226\) | 127046. | − | 197688.i | 0.165459 | − | 0.257459i | ||||
\(227\) | −436282. | + | 503496.i | −0.561956 | + | 0.648532i | −0.963627 | − | 0.267252i | \(-0.913884\pi\) |
0.401670 | + | 0.915784i | \(0.368430\pi\) | |||||||
\(228\) | 59317.5 | − | 148932.i | 0.0755693 | − | 0.189736i | ||||
\(229\) | 565279.i | 0.712319i | 0.934425 | + | 0.356159i | \(0.115914\pi\) | ||||
−0.934425 | + | 0.356159i | \(0.884086\pi\) | |||||||
\(230\) | −608143. | − | 692218.i | −0.758029 | − | 0.862826i | ||||
\(231\) | 57157.5 | − | 609993.i | 0.0704763 | − | 0.752134i | ||||
\(232\) | −41887.4 | − | 12299.3i | −0.0510933 | − | 0.0150023i | ||||
\(233\) | −563574. | − | 488339.i | −0.680081 | − | 0.589294i | 0.244789 | − | 0.969576i | \(-0.421281\pi\) |
−0.924870 | + | 0.380283i | \(0.875827\pi\) | |||||||
\(234\) | −1.42560e6 | + | 1.50577e6i | −1.70199 | + | 1.79770i | ||||
\(235\) | −1.32258e6 | − | 190158.i | −1.56226 | − | 0.224619i | ||||
\(236\) | −217806. | − | 338912.i | −0.254559 | − | 0.396102i | ||||
\(237\) | −657446. | + | 228849.i | −0.760307 | + | 0.264653i | ||||
\(238\) | −939170. | − | 1.08386e6i | −1.07474 | − | 1.24031i | ||||
\(239\) | −294691. | + | 42370.2i | −0.333713 | + | 0.0479806i | −0.307135 | − | 0.951666i | \(-0.599370\pi\) |
−0.0265781 | + | 0.999647i | \(0.508461\pi\) | |||||||
\(240\) | −514594. | + | 894959.i | −0.576682 | + | 1.00294i | ||||
\(241\) | 104678. | + | 356499.i | 0.116094 | + | 0.395381i | 0.996954 | − | 0.0779972i | \(-0.0248525\pi\) |
−0.880859 | + | 0.473378i | \(0.843034\pi\) | |||||||
\(242\) | −127258. | − | 433401.i | −0.139684 | − | 0.475720i | ||||
\(243\) | 718482. | − | 575389.i | 0.780549 | − | 0.625094i | ||||
\(244\) | −58940.1 | + | 8474.30i | −0.0633777 | + | 0.00911233i | ||||
\(245\) | −27888.5 | − | 32185.0i | −0.0296831 | − | 0.0342561i | ||||
\(246\) | 592205. | + | 1.70131e6i | 0.623928 | + | 1.79245i | ||||
\(247\) | 394033. | + | 613127.i | 0.410951 | + | 0.639453i | ||||
\(248\) | 242595. | + | 34880.0i | 0.250469 | + | 0.0360120i | ||||
\(249\) | 891567. | + | 698585.i | 0.911288 | + | 0.714037i | ||||
\(250\) | −979173. | − | 848458.i | −0.990854 | − | 0.858579i | ||||
\(251\) | 847648. | + | 248892.i | 0.849242 | + | 0.249360i | 0.677263 | − | 0.735741i | \(-0.263166\pi\) |
0.171978 | + | 0.985101i | \(0.444984\pi\) | |||||||
\(252\) | 98001.1 | − | 518350.i | 0.0972142 | − | 0.514188i | ||||
\(253\) | 781375. | + | 106899.i | 0.767465 | + | 0.104996i | ||||
\(254\) | − | 901623.i | − | 0.876881i | ||||||
\(255\) | −1.21339e6 | − | 483277.i | −1.16856 | − | 0.465421i | ||||
\(256\) | −844036. | + | 974070.i | −0.804936 | + | 0.928945i | ||||
\(257\) | −625894. | + | 973910.i | −0.591109 | + | 0.919784i | 0.408865 | + | 0.912595i | \(0.365925\pi\) |
−0.999974 | + | 0.00718899i | \(0.997712\pi\) | |||||||
\(258\) | −476426. | + | 1.97914e6i | −0.445601 | + | 1.85109i | ||||
\(259\) | 744726. | − | 478607.i | 0.689838 | − | 0.443332i | ||||
\(260\) | 449584. | + | 984453.i | 0.412456 | + | 0.903153i | ||||
\(261\) | 88168.9 | − | 51321.5i | 0.0801151 | − | 0.0466335i | ||||
\(262\) | 92372.4 | + | 642464.i | 0.0831360 | + | 0.578224i | ||||
\(263\) | 569847. | − | 1.24779e6i | 0.508006 | − | 1.11238i | −0.465777 | − | 0.884902i | \(-0.654225\pi\) |
0.973784 | − | 0.227477i | \(-0.0730476\pi\) | |||||||
\(264\) | −96239.1 | − | 494621.i | −0.0849849 | − | 0.436780i | ||||
\(265\) | 1.20560e6 | − | 353996.i | 1.05460 | − | 0.309659i | ||||
\(266\) | −482991. | − | 220575.i | −0.418538 | − | 0.191140i | ||||
\(267\) | −7722.48 | − | 156291.i | −0.00662947 | − | 0.134170i | ||||
\(268\) | −384805. | + | 333435.i | −0.327268 | + | 0.283579i | ||||
\(269\) | −1.14477e6 | + | 522799.i | −0.964578 | + | 0.440508i | −0.834507 | − | 0.550997i | \(-0.814248\pi\) |
−0.130071 | + | 0.991505i | \(0.541520\pi\) | |||||||
\(270\) | −394605. | − | 1.31796e6i | −0.329422 | − | 1.10025i | ||||
\(271\) | −80843.3 | + | 562278.i | −0.0668684 | + | 0.465080i | 0.928684 | + | 0.370872i | \(0.120941\pi\) |
−0.995553 | + | 0.0942082i | \(0.969968\pi\) | |||||||
\(272\) | −1.74004e6 | − | 1.11826e6i | −1.42606 | − | 0.916473i | ||||
\(273\) | 1.65813e6 | + | 1.73284e6i | 1.34651 | + | 1.40719i | ||||
\(274\) | −16264.5 | + | 55391.9i | −0.0130878 | + | 0.0445728i | ||||
\(275\) | 137512. | 0.109650 | ||||||||
\(276\) | 661279. | + | 154411.i | 0.522531 | + | 0.122013i | ||||
\(277\) | −1.35075e6 | −1.05773 | −0.528865 | − | 0.848706i | \(-0.677382\pi\) | ||||
−0.528865 | + | 0.848706i | \(0.677382\pi\) | |||||||
\(278\) | −128826. | + | 438740.i | −0.0999747 | + | 0.340483i | ||||
\(279\) | −448950. | + | 355639.i | −0.345293 | + | 0.273526i | ||||
\(280\) | 572840. | + | 368142.i | 0.436655 | + | 0.280621i | ||||
\(281\) | −178983. | + | 1.24485e6i | −0.135221 | + | 0.940486i | 0.803376 | + | 0.595472i | \(0.203035\pi\) |
−0.938598 | + | 0.345014i | \(0.887874\pi\) | |||||||
\(282\) | 2.50417e6 | − | 1.29661e6i | 1.87517 | − | 0.970926i | ||||
\(283\) | 63677.5 | − | 29080.5i | 0.0472628 | − | 0.0215842i | −0.391643 | − | 0.920117i | \(-0.628093\pi\) |
0.438906 | + | 0.898533i | \(0.355366\pi\) | |||||||
\(284\) | 572586. | − | 496149.i | 0.421255 | − | 0.365020i | ||||
\(285\) | −482972. | + | 23864.0i | −0.352216 | + | 0.0174033i | ||||
\(286\) | −2.41292e6 | − | 1.10195e6i | −1.74433 | − | 0.796609i | ||||
\(287\) | 1.99920e6 | − | 587019.i | 1.43269 | − | 0.420676i | ||||
\(288\) | −135070. | − | 1.36347e6i | −0.0959574 | − | 0.968646i | ||||
\(289\) | 497245. | − | 1.08882e6i | 0.350208 | − | 0.766848i | ||||
\(290\) | −21699.8 | − | 150925.i | −0.0151517 | − | 0.105382i | ||||
\(291\) | 1.94350e6 | − | 1.38915e6i | 1.34540 | − | 0.961651i | ||||
\(292\) | −226680. | − | 496360.i | −0.155581 | − | 0.340674i | ||||
\(293\) | 2.23652e6 | − | 1.43733e6i | 1.52196 | − | 0.978107i | 0.530507 | − | 0.847681i | \(-0.322002\pi\) |
0.991458 | − | 0.130427i | \(-0.0416348\pi\) | |||||||
\(294\) | 87381.4 | + | 21034.7i | 0.0589591 | + | 0.0141928i | ||||
\(295\) | −656993. | + | 1.02230e6i | −0.439547 | + | 0.683949i | ||||
\(296\) | 476801. | − | 550258.i | 0.316306 | − | 0.365037i | ||||
\(297\) | 993979. | + | 631356.i | 0.653862 | + | 0.415320i | ||||
\(298\) | 3.19911e6i | 2.08684i | ||||||||
\(299\) | −2.31934e6 | + | 2.03764e6i | −1.50033 | + | 1.31811i | ||||
\(300\) | 117887. | + | 11046.3i | 0.0756248 | + | 0.00708618i | ||||
\(301\) | 2.25916e6 | + | 663350.i | 1.43725 | + | 0.422014i | ||||
\(302\) | −721959. | − | 625581.i | −0.455507 | − | 0.394699i | ||||
\(303\) | 29342.6 | − | 37448.4i | 0.0183608 | − | 0.0234330i | ||||
\(304\) | −757998. | − | 108984.i | −0.470418 | − | 0.0676359i | ||||
\(305\) | 97107.8 | + | 151103.i | 0.0597729 | + | 0.0930085i | ||||
\(306\) | 2.67642e6 | − | 659338.i | 1.63400 | − | 0.402536i | ||||
\(307\) | 1.15754e6 | + | 1.33588e6i | 0.700958 | + | 0.808948i | 0.988882 | − | 0.148705i | \(-0.0475105\pi\) |
−0.287924 | + | 0.957653i | \(0.592965\pi\) | |||||||
\(308\) | 667986. | − | 96041.8i | 0.401227 | − | 0.0576878i | ||||
\(309\) | −1.93371e6 | − | 1.11187e6i | −1.15211 | − | 0.662456i | ||||
\(310\) | 241172. | + | 821355.i | 0.142535 | + | 0.485430i | ||||
\(311\) | −322495. | − | 1.09832e6i | −0.189070 | − | 0.643912i | −0.998399 | − | 0.0565574i | \(-0.981988\pi\) |
0.809330 | − | 0.587355i | \(-0.199831\pi\) | |||||||
\(312\) | 1.71004e6 | + | 983258.i | 0.994534 | + | 0.571849i | ||||
\(313\) | −527309. | + | 75815.6i | −0.304232 | + | 0.0437419i | −0.292740 | − | 0.956192i | \(-0.594567\pi\) |
−0.0114916 | + | 0.999934i | \(0.503658\pi\) | |||||||
\(314\) | −891739. | − | 1.02912e6i | −0.510404 | − | 0.589037i | ||||
\(315\) | −1.54507e6 | + | 380628.i | −0.877345 | + | 0.216135i | ||||
\(316\) | −414563. | − | 645073.i | −0.233546 | − | 0.363405i | ||||
\(317\) | −3.33323e6 | − | 479246.i | −1.86302 | − | 0.267861i | −0.883382 | − | 0.468653i | \(-0.844739\pi\) |
−0.979634 | + | 0.200792i | \(0.935649\pi\) | |||||||
\(318\) | −1.63553e6 | + | 2.08734e6i | −0.906963 | + | 1.15751i | ||||
\(319\) | 98631.4 | + | 85464.6i | 0.0542673 | + | 0.0470229i | ||||
\(320\) | 68490.4 | + | 20110.6i | 0.0373899 | + | 0.0109787i | ||||
\(321\) | −611980. | − | 57343.7i | −0.331493 | − | 0.0310615i | ||||
\(322\) | 618906. | − | 2.16236e6i | 0.332648 | − | 1.16222i | ||||
\(323\) | − | 968847.i | − | 0.516712i | ||||||
\(324\) | 801413. | + | 621102.i | 0.424125 | + | 0.328700i | ||||
\(325\) | −352516. | + | 406825.i | −0.185127 | + | 0.213648i | ||||
\(326\) | −439923. | + | 684534.i | −0.229262 | + | 0.356739i | ||||
\(327\) | 1.22989e6 | + | 296062.i | 0.636056 | + | 0.153114i | ||||
\(328\) | 1.44165e6 | − | 926493.i | 0.739905 | − | 0.475508i | ||||
\(329\) | −1.35494e6 | − | 2.96690e6i | −0.690127 | − | 1.51117i | ||||
\(330\) | 1.43182e6 | − | 1.02342e6i | 0.723774 | − | 0.517331i | ||||
\(331\) | −277145. | − | 1.92759e6i | −0.139039 | − | 0.967038i | −0.933207 | − | 0.359340i | \(-0.883002\pi\) |
0.794168 | − | 0.607699i | \(-0.207907\pi\) | |||||||
\(332\) | −518284. | + | 1.13488e6i | −0.258061 | + | 0.565075i | ||||
\(333\) | 167732. | + | 1.69318e6i | 0.0828906 | + | 0.836742i | ||||
\(334\) | −1.84464e6 | + | 541635.i | −0.904785 | + | 0.265669i | ||||
\(335\) | 1.39707e6 | + | 638022.i | 0.680154 | + | 0.310616i | ||||
\(336\) | −2.51693e6 | + | 124364.i | −1.21625 | + | 0.0600959i | ||||
\(337\) | −2.63189e6 | + | 2.28055e6i | −1.26239 | + | 1.09387i | −0.271047 | + | 0.962566i | \(0.587370\pi\) |
−0.991343 | + | 0.131301i | \(0.958085\pi\) | |||||||
\(338\) | 7.07740e6 | − | 3.23214e6i | 3.36963 | − | 1.53886i | ||||
\(339\) | 463902. | − | 240199.i | 0.219244 | − | 0.113520i | ||||
\(340\) | 204744. | − | 1.42402e6i | 0.0960535 | − | 0.668067i | ||||
\(341\) | −616379. | − | 396123.i | −0.287053 | − | 0.184478i | ||||
\(342\) | 799952. | − | 633688.i | 0.369827 | − | 0.292961i | ||||
\(343\) | 627948. | − | 2.13859e6i | 0.288196 | − | 0.981506i | ||||
\(344\) | 1.93653e6 | 0.882325 | ||||||||
\(345\) | −404947. | − | 2.00792e6i | −0.183168 | − | 0.908237i | ||||
\(346\) | 2.38069e6 | 1.06909 | ||||||||
\(347\) | 406742. | − | 1.38524e6i | 0.181341 | − | 0.617590i | −0.817775 | − | 0.575539i | \(-0.804792\pi\) |
0.999115 | − | 0.0420516i | \(-0.0133894\pi\) | |||||||
\(348\) | 77690.4 | + | 81191.0i | 0.0343890 | + | 0.0359385i | ||||
\(349\) | −1.99858e6 | − | 1.28441e6i | −0.878329 | − | 0.564468i | 0.0219605 | − | 0.999759i | \(-0.493009\pi\) |
−0.900290 | + | 0.435291i | \(0.856646\pi\) | |||||||
\(350\) | 55812.2 | − | 388183.i | 0.0243534 | − | 0.169381i | ||||
\(351\) | −4.41595e6 | + | 1.32216e6i | −1.91318 | + | 0.572819i | ||||
\(352\) | 1.59439e6 | − | 728131.i | 0.685862 | − | 0.313223i | ||||
\(353\) | −2.40655e6 | + | 2.08529e6i | −1.02792 | + | 0.890696i | −0.994071 | − | 0.108731i | \(-0.965321\pi\) |
−0.0338471 | + | 0.999427i | \(0.510776\pi\) | |||||||
\(354\) | −126567. | − | 2.56152e6i | −0.0536798 | − | 1.08640i | ||||
\(355\) | −2.07884e6 | − | 949373.i | −0.875486 | − | 0.399821i | ||||
\(356\) | 165384. | − | 48561.1i | 0.0691621 | − | 0.0203078i | ||||
\(357\) | −608913. | − | 3.12951e6i | −0.252862 | − | 1.29959i | ||||
\(358\) | −130055. | + | 284780.i | −0.0536313 | + | 0.117436i | ||||
\(359\) | 597561. | + | 4.15613e6i | 0.244707 | + | 1.70197i | 0.627891 | + | 0.778302i | \(0.283919\pi\) |
−0.383184 | + | 0.923672i | \(0.625172\pi\) | |||||||
\(360\) | −1.13109e6 | + | 658389.i | −0.459983 | + | 0.267748i | ||||
\(361\) | 879599. | + | 1.92605e6i | 0.355236 | + | 0.777858i | ||||
\(362\) | −73604.4 | + | 47302.7i | −0.0295211 | + | 0.0189721i | ||||
\(363\) | 235009. | − | 976261.i | 0.0936089 | − | 0.388865i | ||||
\(364\) | −1.42827e6 | + | 2.22243e6i | −0.565010 | + | 0.879173i | ||||
\(365\) | −1.07788e6 | + | 1.24394e6i | −0.423486 | + | 0.488729i | ||||
\(366\) | −352166. | − | 140263.i | −0.137418 | − | 0.0547319i | ||||
\(367\) | 1.09533e6i | 0.424504i | 0.977215 | + | 0.212252i | \(0.0680798\pi\) | ||||
−0.977215 | + | 0.212252i | \(0.931920\pi\) | |||||||
\(368\) | −22170.7 | − | 3.24380e6i | −0.00853413 | − | 1.24863i | ||||
\(369\) | −743960. | + | 3.93497e6i | −0.284435 | + | 1.50444i | ||||
\(370\) | 2.44002e6 | + | 716455.i | 0.926594 | + | 0.272072i | ||||
\(371\) | 2.31799e6 | + | 2.00855e6i | 0.874332 | + | 0.757613i | ||||
\(372\) | −496596. | − | 389106.i | −0.186057 | − | 0.145784i | ||||
\(373\) | 1.55837e6 | + | 224059.i | 0.579960 | + | 0.0833856i | 0.426051 | − | 0.904699i | \(-0.359905\pi\) |
0.153909 | + | 0.988085i | \(0.450814\pi\) | |||||||
\(374\) | 1.90642e6 | + | 2.96644e6i | 0.704756 | + | 1.09662i | ||||
\(375\) | −946858. | − | 2.72017e6i | −0.347702 | − | 0.998891i | ||||
\(376\) | −1.75673e6 | − | 2.02737e6i | −0.640818 | − | 0.739543i | ||||
\(377\) | −505690. | + | 72707.3i | −0.183245 | + | 0.0263466i | ||||
\(378\) | 2.18569e6 | − | 2.54966e6i | 0.786790 | − | 0.917810i | ||||
\(379\) | −688914. | − | 2.34623e6i | −0.246358 | − | 0.839019i | −0.986104 | − | 0.166132i | \(-0.946872\pi\) |
0.739745 | − | 0.672887i | \(-0.234946\pi\) | |||||||
\(380\) | −150064. | − | 511069.i | −0.0533109 | − | 0.181560i | ||||
\(381\) | 999102. | − | 1.73759e6i | 0.352612 | − | 0.613248i | ||||
\(382\) | 315126. | − | 45308.3i | 0.110491 | − | 0.0158862i | ||||
\(383\) | 2.58564e6 | + | 2.98399e6i | 0.900682 | + | 1.03944i | 0.999019 | + | 0.0442896i | \(0.0141024\pi\) |
−0.0983364 | + | 0.995153i | \(0.531352\pi\) | |||||||
\(384\) | −2.79859e6 | + | 974153.i | −0.968525 | + | 0.337131i | ||||
\(385\) | −1.10055e6 | − | 1.71249e6i | −0.378406 | − | 0.588812i | ||||
\(386\) | −2.63640e6 | − | 379056.i | −0.900621 | − | 0.129490i | ||||
\(387\) | −3.11128e6 | + | 3.28624e6i | −1.05599 | + | 1.11538i | ||||
\(388\) | 1.98869e6 | + | 1.72321e6i | 0.670637 | + | 0.581110i | ||||
\(389\) | −480344. | − | 141042.i | −0.160945 | − | 0.0472578i | 0.200267 | − | 0.979741i | \(-0.435819\pi\) |
−0.361213 | + | 0.932483i | \(0.617637\pi\) | |||||||
\(390\) | −642755. | + | 6.85958e6i | −0.213985 | + | 2.28368i | ||||
\(391\) | 4.05815e6 | − | 611812.i | 1.34241 | − | 0.202384i | ||||
\(392\) | − | 85500.0i | − | 0.0281029i | ||||||
\(393\) | −533906. | + | 1.34051e6i | −0.174375 | + | 0.437812i | ||||
\(394\) | −1.17804e6 | + | 1.35953e6i | −0.382313 | + | 0.441213i | ||||
\(395\) | −1.25049e6 | + | 1.94581e6i | −0.403264 | + | 0.627491i | ||||
\(396\) | −419886. | + | 1.22723e6i | −0.134553 | + | 0.393266i | ||||
\(397\) | 2.31552e6 | − | 1.48809e6i | 0.737348 | − | 0.473865i | −0.117285 | − | 0.993098i | \(-0.537419\pi\) |
0.854632 | + | 0.519234i | \(0.173783\pi\) | |||||||
\(398\) | 12767.8 | + | 27957.6i | 0.00404026 | + | 0.00884693i | ||||
\(399\) | −686390. | − | 960297.i | −0.215844 | − | 0.301977i | ||||
\(400\) | −80494.7 | − | 559853.i | −0.0251546 | − | 0.174954i | ||||
\(401\) | −1.95485e6 | + | 4.28052e6i | −0.607088 | + | 1.32934i | 0.317460 | + | 0.948272i | \(0.397170\pi\) |
−0.924548 | + | 0.381066i | \(0.875557\pi\) | |||||||
\(402\) | −3.18171e6 | + | 619069.i | −0.981962 | + | 0.191062i | ||||
\(403\) | 2.75203e6 | − | 808069.i | 0.844094 | − | 0.247848i | ||||
\(404\) | 47668.4 | + | 21769.4i | 0.0145304 | + | 0.00663581i | ||||
\(405\) | 699975. | − | 2.97722e6i | 0.212053 | − | 0.901931i | ||||
\(406\) | 281290. | − | 243739.i | 0.0846915 | − | 0.0733856i | ||||
\(407\) | −1.97993e6 | + | 904203.i | −0.592466 | + | 0.270570i | ||||
\(408\) | −1.20568e6 | − | 2.32856e6i | −0.358576 | − | 0.692528i | ||||
\(409\) | 367990. | − | 2.55943e6i | 0.108775 | − | 0.756545i | −0.860302 | − | 0.509785i | \(-0.829725\pi\) |
0.969077 | − | 0.246760i | \(-0.0793659\pi\) | |||||||
\(410\) | 5.03528e6 | + | 3.23598e6i | 1.47933 | + | 0.950706i | ||||
\(411\) | −92725.3 | + | 88727.4i | −0.0270766 | + | 0.0259092i | ||||
\(412\) | 692217. | − | 2.35747e6i | 0.200909 | − | 0.684233i | ||||
\(413\) | −2.96636e6 | −0.855753 | ||||||||
\(414\) | 3.15945e6 | + | 2.95055e6i | 0.905962 | + | 0.846061i | ||||
\(415\) | 3.76337e6 | 1.07265 | ||||||||
\(416\) | −1.93310e6 | + | 6.58355e6i | −0.547674 | + | 1.86520i | ||||
\(417\) | −734445. | + | 702779.i | −0.206833 | + | 0.197915i | ||||
\(418\) | 1.09828e6 | + | 705823.i | 0.307449 | + | 0.197585i | ||||
\(419\) | 1.00451e6 | − | 6.98649e6i | 0.279523 | − | 1.94412i | −0.0468984 | − | 0.998900i | \(-0.514934\pi\) |
0.326421 | − | 0.945224i | \(-0.394157\pi\) | |||||||
\(420\) | −805929. | − | 1.55651e6i | −0.222933 | − | 0.430555i | ||||
\(421\) | −3.45634e6 | + | 1.57846e6i | −0.950411 | + | 0.434038i | −0.829426 | − | 0.558616i | \(-0.811332\pi\) |
−0.120985 | + | 0.992654i | \(0.538605\pi\) | |||||||
\(422\) | −3.48466e6 | + | 3.01948e6i | −0.952532 | + | 0.825374i | ||||
\(423\) | 6.26280e6 | + | 276107.i | 1.70183 | + | 0.0750286i | ||||
\(424\) | 2.29466e6 | + | 1.04793e6i | 0.619873 | + | 0.283087i | ||||
\(425\) | 686599. | − | 201604.i | 0.184387 | − | 0.0541409i | ||||
\(426\) | 4.73435e6 | − | 921170.i | 1.26397 | − | 0.245932i | ||||
\(427\) | −182137. | + | 398825.i | −0.0483425 | + | 0.105855i | ||||
\(428\) | −96354.7 | − | 670162.i | −0.0254251 | − | 0.176836i | ||||
\(429\) | −3.42907e6 | − | 4.79745e6i | −0.899565 | − | 1.25854i | ||||
\(430\) | 2.80977e6 | + | 6.15253e6i | 0.732823 | + | 1.60466i | ||||
\(431\) | −241288. | + | 155066.i | −0.0625665 | + | 0.0402091i | −0.571550 | − | 0.820567i | \(-0.693658\pi\) |
0.508984 | + | 0.860776i | \(0.330021\pi\) | |||||||
\(432\) | 1.98861e6 | − | 4.41638e6i | 0.512672 | − | 1.13856i | ||||
\(433\) | −673421. | + | 1.04786e6i | −0.172610 | + | 0.268587i | −0.916771 | − | 0.399414i | \(-0.869214\pi\) |
0.744160 | + | 0.668001i | \(0.232850\pi\) | |||||||
\(434\) | −1.36839e6 | + | 1.57921e6i | −0.348727 | + | 0.402452i | ||||
\(435\) | 125423. | − | 314907.i | 0.0317800 | − | 0.0797919i | ||||
\(436\) | 1.39343e6i | 0.351049i | ||||||||
\(437\) | 1.27260e6 | − | 830193.i | 0.318777 | − | 0.207958i | ||||
\(438\) | 324076. | − | 3.45859e6i | 0.0807164 | − | 0.861417i | ||||
\(439\) | 981414. | + | 288169.i | 0.243047 | + | 0.0713651i | 0.400987 | − | 0.916084i | \(-0.368667\pi\) |
−0.157940 | + | 0.987449i | \(0.550485\pi\) | |||||||
\(440\) | −1.26531e6 | − | 1.09640e6i | −0.311578 | − | 0.269984i | ||||
\(441\) | 145091. | + | 137366.i | 0.0355259 | + | 0.0336344i | ||||
\(442\) | −1.36633e7 | − | 1.96449e6i | −3.32660 | − | 0.478293i | ||||
\(443\) | −602768. | − | 937925.i | −0.145929 | − | 0.227069i | 0.760593 | − | 0.649229i | \(-0.224908\pi\) |
−0.906521 | + | 0.422160i | \(0.861272\pi\) | |||||||
\(444\) | −1.77001e6 | + | 616118.i | −0.426106 | + | 0.148322i | ||||
\(445\) | −340480. | − | 392935.i | −0.0815064 | − | 0.0940634i | ||||
\(446\) | 2.17801e6 | − | 313150.i | 0.518469 | − | 0.0745445i | ||||
\(447\) | −3.54498e6 | + | 6.16527e6i | −0.839160 | + | 1.45943i | ||||
\(448\) | 49090.4 | + | 167187.i | 0.0115558 | + | 0.0393556i | ||||
\(449\) | 1.44905e6 | + | 4.93502e6i | 0.339210 | + | 1.15524i | 0.935751 | + | 0.352660i | \(0.114723\pi\) |
−0.596542 | + | 0.802582i | \(0.703459\pi\) | |||||||
\(450\) | 615538. | + | 435046.i | 0.143293 | + | 0.101275i | ||||
\(451\) | −5.07091e6 | + | 729086.i | −1.17394 | + | 0.168786i | ||||
\(452\) | 376824. | + | 434878.i | 0.0867545 | + | 0.100120i | ||||
\(453\) | −698133. | − | 2.00562e6i | −0.159843 | − | 0.459202i | ||||
\(454\) | −2.52569e6 | − | 3.93006e6i | −0.575097 | − | 0.894868i | ||||
\(455\) | 7.88767e6 | + | 1.13408e6i | 1.78616 | + | 0.256811i | ||||
\(456\) | −764182. | − | 598772.i | −0.172102 | − | 0.134850i | ||||
\(457\) | 1.64555e6 | + | 1.42588e6i | 0.368570 | + | 0.319368i | 0.819378 | − | 0.573253i | \(-0.194319\pi\) |
−0.450808 | + | 0.892621i | \(0.648864\pi\) | |||||||
\(458\) | −3.80328e6 | − | 1.11674e6i | −0.847217 | − | 0.248765i | ||||
\(459\) | 5.88858e6 | + | 1.69512e6i | 1.30460 | + | 0.375550i | ||||
\(460\) | 2.04592e6 | − | 951294.i | 0.450811 | − | 0.209614i | ||||
\(461\) | 436249.i | 0.0956054i | 0.998857 | + | 0.0478027i | \(0.0152219\pi\) | ||||
−0.998857 | + | 0.0478027i | \(0.984778\pi\) | |||||||
\(462\) | 3.99120e6 | + | 1.58964e6i | 0.869959 | + | 0.346493i | ||||
\(463\) | −4.94441e6 | + | 5.70615e6i | −1.07192 | + | 1.23706i | −0.101704 | + | 0.994815i | \(0.532429\pi\) |
−0.970215 | + | 0.242246i | \(0.922116\pi\) | |||||||
\(464\) | 290218. | − | 451587.i | 0.0625790 | − | 0.0973748i | ||||
\(465\) | −445374. | + | 1.85015e6i | −0.0955195 | + | 0.396802i | ||||
\(466\) | 4.39899e6 | − | 2.82706e6i | 0.938401 | − | 0.603074i | ||||
\(467\) | 1.65486e6 | + | 3.62363e6i | 0.351130 | + | 0.768868i | 0.999968 | + | 0.00794151i | \(0.00252789\pi\) |
−0.648838 | + | 0.760926i | \(0.724745\pi\) | |||||||
\(468\) | −2.55433e6 | − | 4.38827e6i | −0.539091 | − | 0.926143i | ||||
\(469\) | 533551. | + | 3.71093e6i | 0.112007 | + | 0.779023i | ||||
\(470\) | 3.89225e6 | − | 8.52284e6i | 0.812749 | − | 1.77967i | ||||
\(471\) | −578161. | − | 2.97146e6i | −0.120087 | − | 0.617188i | ||||
\(472\) | −2.34090e6 | + | 687351.i | −0.483647 | + | 0.142012i | ||||
\(473\) | −5.26605e6 | − | 2.40493e6i | −1.08226 | − | 0.494253i | ||||
\(474\) | −240902. | − | 4.87550e6i | −0.0492487 | − | 0.996719i | ||||
\(475\) | 200224. | − | 173495.i | 0.0407177 | − | 0.0352820i | ||||
\(476\) | 3.19446e6 | − | 1.45886e6i | 0.646220 | − | 0.295119i | ||||
\(477\) | −5.46497e6 | + | 2.21033e6i | −1.09974 | + | 0.444797i | ||||
\(478\) | 297108. | − | 2.06643e6i | 0.0594764 | − | 0.413667i | ||||
\(479\) | 3.66233e6 | + | 2.35363e6i | 0.729320 | + | 0.468706i | 0.851868 | − | 0.523757i | \(-0.175470\pi\) |
−0.122548 | + | 0.992463i | \(0.539106\pi\) | |||||||
\(480\) | −3.14738e6 | − | 3.28920e6i | −0.623514 | − | 0.651608i | ||||
\(481\) | 2.40055e6 | − | 8.17553e6i | 0.473095 | − | 1.61121i | ||||
\(482\) | −2.60538e6 | −0.510802 | ||||||||
\(483\) | 3.58889e6 | − | 3.48145e6i | 0.699991 | − | 0.679036i | ||||
\(484\) | 1.10608e6 | 0.214621 | ||||||||
\(485\) | 2.23623e6 | − | 7.61591e6i | 0.431681 | − | 1.47017i | ||||
\(486\) | 2.45189e6 | + | 5.97077e6i | 0.470880 | + | 1.14667i | ||||
\(487\) | −7.74493e6 | − | 4.97737e6i | −1.47977 | − | 0.950993i | −0.997172 | − | 0.0751525i | \(-0.976056\pi\) |
−0.482601 | − | 0.875840i | \(-0.660308\pi\) | |||||||
\(488\) | −51319.9 | + | 356938.i | −0.00975520 | + | 0.0678489i | ||||
\(489\) | −1.60636e6 | + | 831738.i | −0.303787 | + | 0.157295i | ||||
\(490\) | 271641. | − | 124054.i | 0.0511099 | − | 0.0233411i | ||||
\(491\) | 5.38697e6 | − | 4.66784e6i | 1.00842 | − | 0.873800i | 0.0163971 | − | 0.999866i | \(-0.494780\pi\) |
0.992022 | + | 0.126066i | \(0.0402350\pi\) | |||||||
\(492\) | −4.40581e6 | + | 217695.i | −0.820565 | + | 0.0405448i | ||||
\(493\) | 617767. | + | 282125.i | 0.114474 | + | 0.0522786i | ||||
\(494\) | −4.90365e6 | + | 1.43984e6i | −0.904070 | + | 0.265459i | ||||
\(495\) | 3.89344e6 | − | 385698.i | 0.714202 | − | 0.0707513i | ||||
\(496\) | −1.25193e6 | + | 2.74135e6i | −0.228495 | + | 0.500334i | ||||
\(497\) | −793919. | − | 5.52183e6i | −0.144173 | − | 1.00275i | ||||
\(498\) | −6.46152e6 | + | 4.61850e6i | −1.16751 | + | 0.834502i | ||||
\(499\) | 3.99399e6 | + | 8.74561e6i | 0.718051 | + | 1.57231i | 0.816616 | + | 0.577181i | \(0.195847\pi\) |
−0.0985653 | + | 0.995131i | \(0.531425\pi\) | |||||||
\(500\) | 2.66898e6 | − | 1.71525e6i | 0.477441 | − | 0.306833i | ||||
\(501\) | −4.15516e6 | − | 1.00024e6i | −0.739593 | − | 0.178037i | ||||
\(502\) | −3.34916e6 | + | 5.21140e6i | −0.593167 | + | 0.922986i | ||||
\(503\) | −1.23333e6 | + | 1.42334e6i | −0.217350 | + | 0.250836i | −0.853945 | − | 0.520362i | \(-0.825797\pi\) |
0.636595 | + | 0.771198i | \(0.280342\pi\) | |||||||
\(504\) | −2.84474e6 | − | 1.45383e6i | −0.498845 | − | 0.254940i | ||||
\(505\) | − | 158073.i | − | 0.0275821i | ||||||
\(506\) | −2.26289e6 | + | 5.04602e6i | −0.392904 | + | 0.876139i | ||||
\(507\) | 1.72210e7 | + | 1.61364e6i | 2.97536 | + | 0.278797i | ||||
\(508\) | 2.11838e6 | + | 622012.i | 0.364204 | + | 0.106940i | ||||
\(509\) | −7.30985e6 | − | 6.33402e6i | −1.25059 | − | 1.08364i | −0.993089 | − | 0.117361i | \(-0.962557\pi\) |
−0.257497 | − | 0.966279i | \(-0.582898\pi\) | |||||||
\(510\) | 5.64869e6 | − | 7.20912e6i | 0.961661 | − | 1.22732i | ||||
\(511\) | −3.97695e6 | − | 571800.i | −0.673749 | − | 0.0968705i | ||||
\(512\) | −1.59750e6 | − | 2.48576e6i | −0.269318 | − | 0.419068i | ||||
\(513\) | 2.24385e6 | − | 334793.i | 0.376445 | − | 0.0561673i | ||||
\(514\) | −5.31611e6 | − | 6.13512e6i | −0.887537 | − | 1.02427i | ||||
\(515\) | −7.33590e6 | + | 1.05474e6i | −1.21881 | + | 0.175238i | ||||
\(516\) | −4.32135e6 | − | 2.48474e6i | −0.714489 | − | 0.410825i | ||||
\(517\) | 2.25937e6 | + | 7.69471e6i | 0.371759 | + | 1.26609i | ||||
\(518\) | 1.74888e6 | + | 5.95614e6i | 0.286376 | + | 0.975306i | ||||
\(519\) | 4.58803e6 | + | 2.63808e6i | 0.747666 | + | 0.429902i | ||||
\(520\) | 6.48735e6 | − | 932740.i | 1.05211 | − | 0.151270i | ||||
\(521\) | 4.90106e6 | + | 5.65613e6i | 0.791036 | + | 0.912904i | 0.997854 | − | 0.0654756i | \(-0.0208565\pi\) |
−0.206819 | + | 0.978379i | \(0.566311\pi\) | |||||||
\(522\) | 171116. | + | 694602.i | 0.0274861 | + | 0.111573i | ||||
\(523\) | −4.67980e6 | − | 7.28191e6i | −0.748123 | − | 1.16410i | −0.981453 | − | 0.191704i | \(-0.938599\pi\) |
0.233330 | − | 0.972398i | \(-0.425038\pi\) | |||||||
\(524\) | −1.57321e6 | − | 226193.i | −0.250298 | − | 0.0359874i | ||||
\(525\) | 537711. | − | 686253.i | 0.0851434 | − | 0.108664i | ||||
\(526\) | 7.26955e6 | + | 6.29911e6i | 1.14563 | + | 0.992692i | ||||
\(527\) | −3.65834e6 | − | 1.07419e6i | −0.573797 | − | 0.168482i | ||||
\(528\) | 6.16902e6 | + | 578049.i | 0.963012 | + | 0.0902359i | ||||
\(529\) | 4.28100e6 | + | 4.80620e6i | 0.665130 | + | 0.746728i | ||||
\(530\) | 8.81080e6i | 1.36247i | ||||||||
\(531\) | 2.59454e6 | − | 5.07677e6i | 0.399323 | − | 0.781360i | ||||
\(532\) | 851449. | − | 982625.i | 0.130431 | − | 0.150525i | ||||
\(533\) | 1.08425e7 | − | 1.68712e7i | 1.65314 | − | 2.57234i | ||||
\(534\) | 1.06681e6 | + | 256805.i | 0.161895 | + | 0.0389718i | ||||
\(535\) | −1.71807e6 | + | 1.10414e6i | −0.259511 | + | 0.166778i | ||||
\(536\) | 1.28093e6 | + | 2.80485e6i | 0.192581 | + | 0.421694i | ||||
\(537\) | −566208. | + | 404708.i | −0.0847306 | + | 0.0605628i | ||||
\(538\) | −1.25590e6 | − | 8.73500e6i | −0.187068 | − | 1.30109i | ||||
\(539\) | −106180. | + | 232502.i | −0.0157424 | + | 0.0344711i | ||||
\(540\) | 3.36880e6 | − | 17896.2i | 0.497154 | − | 0.00264105i | ||||
\(541\) | −6.40376e6 | + | 1.88031e6i | −0.940681 | + | 0.276209i | −0.715902 | − | 0.698201i | \(-0.753984\pi\) |
−0.224779 | + | 0.974410i | \(0.572166\pi\) | |||||||
\(542\) | −3.62337e6 | − | 1.65474e6i | −0.529804 | − | 0.241953i | ||||
\(543\) | −194266. | + | 9598.84i | −0.0282747 | + | 0.00139707i | ||||
\(544\) | 6.89330e6 | − | 5.97308e6i | 0.998688 | − | 0.865368i | ||||
\(545\) | 3.82332e6 | − | 1.74605e6i | 0.551379 | − | 0.251806i | ||||
\(546\) | −1.49345e7 | + | 7.73279e6i | −2.14393 | + | 1.11008i | ||||
\(547\) | −1.20313e6 | + | 8.36795e6i | −0.171927 | + | 1.19578i | 0.702880 | + | 0.711308i | \(0.251897\pi\) |
−0.874807 | + | 0.484471i | \(0.839012\pi\) | |||||||
\(548\) | −118924. | − | 76427.5i | −0.0169167 | − | 0.0108717i | ||||
\(549\) | −523262. | − | 660553.i | −0.0740948 | − | 0.0935356i | ||||
\(550\) | −271663. | + | 925198.i | −0.0382933 | + | 0.130415i | ||||
\(551\) | 251441. | 0.0352824 | ||||||||
\(552\) | 2.02547e6 | − | 3.57900e6i | 0.282930 | − | 0.499935i | ||||
\(553\) | −5.64605e6 | −0.785113 | ||||||||
\(554\) | 2.66849e6 | − | 9.08803e6i | 0.369395 | − | 1.25804i | ||||
\(555\) | 3.90846e6 | + | 4.08456e6i | 0.538608 | + | 0.562877i | ||||
\(556\) | −941951. | − | 605355.i | −0.129224 | − | 0.0830469i | ||||
\(557\) | 822059. | − | 5.71754e6i | 0.112270 | − | 0.780857i | −0.853432 | − | 0.521205i | \(-0.825483\pi\) |
0.965702 | − | 0.259653i | \(-0.0836080\pi\) | |||||||
\(558\) | −1.50586e6 | − | 3.72319e6i | −0.204738 | − | 0.506209i | ||||
\(559\) | 2.06146e7 | − | 9.41439e6i | 2.79027 | − | 1.27427i | ||||
\(560\) | −6.32786e6 | + | 5.48313e6i | −0.852682 | + | 0.738853i | ||||
\(561\) | 386858. | + | 7.82941e6i | 0.0518972 | + | 1.05032i | ||||
\(562\) | −8.02196e6 | − | 3.66351e6i | −1.07137 | − | 0.489279i | ||||
\(563\) | −6.97252e6 | + | 2.04732e6i | −0.927083 | + | 0.272216i | −0.710215 | − | 0.703985i | \(-0.751402\pi\) |
−0.216868 | + | 0.976201i | \(0.569584\pi\) | |||||||
\(564\) | 1.31882e6 | + | 6.77810e6i | 0.174578 | + | 0.897243i | ||||
\(565\) | 721045. | − | 1.57887e6i | 0.0950258 | − | 0.208077i | ||||
\(566\) | 69859.2 | + | 485882.i | 0.00916606 | + | 0.0637514i | ||||
\(567\) | 7.03754e6 | − | 2.49167e6i | 0.919313 | − | 0.325487i | ||||
\(568\) | −1.90602e6 | − | 4.17360e6i | −0.247888 | − | 0.542800i | ||||
\(569\) | 3.03313e6 | − | 1.94927e6i | 0.392744 | − | 0.252401i | −0.329333 | − | 0.944214i | \(-0.606824\pi\) |
0.722077 | + | 0.691813i | \(0.243188\pi\) | |||||||
\(570\) | 793580. | − | 3.29665e6i | 0.102307 | − | 0.424997i | ||||
\(571\) | −3.10937e6 | + | 4.83827e6i | −0.399100 | + | 0.621012i | −0.981403 | − | 0.191960i | \(-0.938516\pi\) |
0.582302 | + | 0.812972i | \(0.302152\pi\) | |||||||
\(572\) | 4.25367e6 | − | 4.90899e6i | 0.543592 | − | 0.627339i | ||||
\(573\) | 657513. | + | 261879.i | 0.0836600 | + | 0.0333207i | ||||
\(574\) | 1.46106e7i | 1.85093i | ||||||||
\(575\) | 853148. | + | 729108.i | 0.107610 | + | 0.0919649i | ||||
\(576\) | −329068. | − | 62214.8i | −0.0413266 | − | 0.00781336i | ||||
\(577\) | 7.55623e6 | + | 2.21871e6i | 0.944856 | + | 0.277435i | 0.717644 | − | 0.696410i | \(-0.245221\pi\) |
0.227212 | + | 0.973845i | \(0.427039\pi\) | |||||||
\(578\) | 6.34337e6 | + | 5.49656e6i | 0.789769 | + | 0.684339i | ||||
\(579\) | −4.66078e6 | − | 3.65194e6i | −0.577780 | − | 0.452718i | ||||
\(580\) | 369572. | + | 53136.4i | 0.0456172 | + | 0.00655877i | ||||
\(581\) | 4.96658e6 | + | 7.72815e6i | 0.610403 | + | 0.949806i | ||||
\(582\) | 5.50692e6 | + | 1.58205e7i | 0.673909 | + | 1.93603i | ||||
\(583\) | −4.93851e6 | − | 5.69934e6i | −0.601762 | − | 0.694470i | ||||
\(584\) | −3.27091e6 | + | 470286.i | −0.396860 | + | 0.0570598i | ||||
\(585\) | −8.83991e6 | + | 1.25074e7i | −1.06797 | + | 1.51105i | ||||
\(586\) | 5.25215e6 | + | 1.78872e7i | 0.631820 | + | 2.15178i | ||||
\(587\) | 2.83015e6 | + | 9.63860e6i | 0.339011 | + | 1.15457i | 0.935907 | + | 0.352247i | \(0.114582\pi\) |
−0.596896 | + | 0.802319i | \(0.703599\pi\) | |||||||
\(588\) | −109704. | + | 190793.i | −0.0130852 | + | 0.0227572i | ||||
\(589\) | −1.39726e6 | + | 200896.i | −0.165955 | + | 0.0238607i | ||||
\(590\) | −5.58026e6 | − | 6.43996e6i | −0.659970 | − | 0.761646i | ||||
\(591\) | −3.77682e6 | + | 1.31466e6i | −0.444792 | + | 0.154827i | ||||
\(592\) | 4.84028e6 | + | 7.53162e6i | 0.567631 | + | 0.883251i | ||||
\(593\) | 5.56068e6 | + | 799505.i | 0.649368 | + | 0.0933651i | 0.459125 | − | 0.888372i | \(-0.348163\pi\) |
0.190244 | + | 0.981737i | \(0.439072\pi\) | |||||||
\(594\) | −6.21152e6 | + | 5.44035e6i | −0.722324 | + | 0.632646i | ||||
\(595\) | −8.00574e6 | − | 6.93701e6i | −0.927062 | − | 0.803304i | ||||
\(596\) | −7.51636e6 | − | 2.20700e6i | −0.866746 | − | 0.254499i | ||||
\(597\) | −6374.32 | + | 68027.7i | −0.000731978 | + | 0.00781178i | ||||
\(598\) | −9.12755e6 | − | 1.96304e7i | −1.04376 | − | 2.24479i | ||||
\(599\) | − | 1.28506e7i | − | 1.46337i | −0.681642 | − | 0.731686i | \(-0.738734\pi\) | ||
0.681642 | − | 0.731686i | \(-0.261266\pi\) | |||||||
\(600\) | 265320. | − | 666154.i | 0.0300879 | − | 0.0755434i | ||||
\(601\) | 7.35026e6 | − | 8.48265e6i | 0.830074 | − | 0.957956i | −0.169546 | − | 0.985522i | \(-0.554230\pi\) |
0.999620 | + | 0.0275662i | \(0.00877570\pi\) | |||||||
\(602\) | −8.92624e6 | + | 1.38895e7i | −1.00387 | + | 1.56205i | ||||
\(603\) | −6.81773e6 | − | 2.33264e6i | −0.763566 | − | 0.261248i | ||||
\(604\) | 1.96788e6 | − | 1.26468e6i | 0.219486 | − | 0.141055i | ||||
\(605\) | −1.38598e6 | − | 3.03488e6i | −0.153947 | − | 0.337096i | ||||
\(606\) | 193990. | + | 271403.i | 0.0214585 | + | 0.0300215i | ||||
\(607\) | −18315.1 | − | 127384.i | −0.00201761 | − | 0.0140328i | 0.988788 | − | 0.149328i | \(-0.0477109\pi\) |
−0.990805 | + | 0.135295i | \(0.956802\pi\) | |||||||
\(608\) | 1.40284e6 | − | 3.07180e6i | 0.153904 | − | 0.337003i | ||||
\(609\) | 812190. | − | 158029.i | 0.0887390 | − | 0.0172661i | ||||
\(610\) | −1.20848e6 | + | 354843.i | −0.131497 | + | 0.0386110i | ||||
\(611\) | −2.85566e7 | − | 1.30414e7i | −3.09459 | − | 1.41325i | ||||
\(612\) | −297285. | + | 6.74316e6i | −0.0320844 | + | 0.727755i | ||||
\(613\) | −5.17199e6 | + | 4.48156e6i | −0.555913 | + | 0.481701i | −0.886917 | − | 0.461928i | \(-0.847158\pi\) |
0.331005 | + | 0.943629i | \(0.392612\pi\) | |||||||
\(614\) | −1.12748e7 | + | 5.14902e6i | −1.20694 | + | 0.551193i | ||||
\(615\) | 6.11808e6 | + | 1.18160e7i | 0.652270 | + | 1.25975i | ||||
\(616\) | 581623. | − | 4.04528e6i | 0.0617576 | − | 0.429533i | ||||
\(617\) | 8.42090e6 | + | 5.41178e6i | 0.890524 | + | 0.572305i | 0.903966 | − | 0.427605i | \(-0.140642\pi\) |
−0.0134418 | + | 0.999910i | \(0.504279\pi\) | |||||||
\(618\) | 1.13010e7 | − | 1.08137e7i | 1.19027 | − | 1.13895i | ||||
\(619\) | −2.23459e6 | + | 7.61032e6i | −0.234407 | + | 0.798319i | 0.755321 | + | 0.655356i | \(0.227481\pi\) |
−0.989728 | + | 0.142963i | \(0.954337\pi\) | |||||||
\(620\) | −2.09617e6 | −0.219001 | ||||||||
\(621\) | 2.81929e6 | + | 9.18728e6i | 0.293366 | + | 0.956000i | ||||
\(622\) | 8.02674e6 | 0.831885 | ||||||||
\(623\) | 357562. | − | 1.21774e6i | 0.0369089 | − | 0.125700i | ||||
\(624\) | −1.75247e7 | + | 1.67691e7i | −1.80172 | + | 1.72404i | ||||
\(625\) | −6.88783e6 | − | 4.42654e6i | −0.705314 | − | 0.453278i | ||||
\(626\) | 531633. | − | 3.69759e6i | 0.0542221 | − | 0.377123i | ||||
\(627\) | 1.33446e6 | + | 2.57727e6i | 0.135561 | + | 0.261813i | ||||
\(628\) | 3.03313e6 | − | 1.38518e6i | 0.306897 | − | 0.140155i | ||||
\(629\) | −8.56019e6 | + | 7.41745e6i | −0.862694 | + | 0.747528i | ||||
\(630\) | 491453. | − | 1.11474e7i | 0.0493322 | − | 1.11898i | ||||
\(631\) | −1.55317e7 | − | 7.09308e6i | −1.55291 | − | 0.709188i | −0.560044 | − | 0.828463i | \(-0.689216\pi\) |
−0.992861 | + | 0.119274i | \(0.961943\pi\) | |||||||
\(632\) | −4.45559e6 | + | 1.30828e6i | −0.443723 | + | 0.130289i | ||||
\(633\) | −1.00615e7 | + | 1.95768e6i | −0.998054 | + | 0.194193i | ||||
\(634\) | 9.80943e6 | − | 2.14797e7i | 0.969216 | − | 2.12229i | ||||
\(635\) | −947770. | − | 6.59189e6i | −0.0932758 | − | 0.648747i | ||||
\(636\) | −3.77591e6 | − | 5.28271e6i | −0.370151 | − | 0.517861i | ||||
\(637\) | −415656. | − | 910159.i | −0.0405869 | − | 0.0888728i | ||||
\(638\) | −769870. | + | 494766.i | −0.0748800 | + | 0.0481225i | ||||
\(639\) | 1.01447e7 | + | 3.47094e6i | 0.982853 | + | 0.336276i | ||||
\(640\) | −5.32305e6 | + | 8.28283e6i | −0.513701 | + | 0.799335i | ||||
\(641\) | −869080. | + | 1.00297e6i | −0.0835439 | + | 0.0964148i | −0.795982 | − | 0.605320i | \(-0.793045\pi\) |
0.712439 | + | 0.701734i | \(0.247591\pi\) | |||||||
\(642\) | 1.59482e6 | − | 4.00421e6i | 0.152712 | − | 0.383424i | ||||
\(643\) | − | 3.98880e6i | − | 0.380465i | −0.981739 | − | 0.190233i | \(-0.939076\pi\) | ||
0.981739 | − | 0.190233i | \(-0.0609242\pi\) | |||||||
\(644\) | 4.65354e6 | + | 2.94590e6i | 0.442149 | + | 0.279900i | ||||
\(645\) | −1.40277e6 | + | 1.49706e7i | −0.132766 | + | 1.41690i | ||||
\(646\) | 6.51854e6 | + | 1.91402e6i | 0.614567 | + | 0.180453i | ||||
\(647\) | 273749. | + | 237205.i | 0.0257094 | + | 0.0222773i | 0.667621 | − | 0.744502i | \(-0.267313\pi\) |
−0.641911 | + | 0.766779i | \(0.721858\pi\) | |||||||
\(648\) | 4.97633e6 | − | 3.59702e6i | 0.465555 | − | 0.336515i | ||||
\(649\) | 7.21928e6 | + | 1.03798e6i | 0.672794 | + | 0.0967332i | ||||
\(650\) | −2.04076e6 | − | 3.17549e6i | −0.189456 | − | 0.294800i | ||||
\(651\) | −4.38708e6 | + | 1.52709e6i | −0.405717 | + | 0.141225i | ||||
\(652\) | −1.30483e6 | − | 1.50585e6i | −0.120208 | − | 0.138728i | ||||
\(653\) | 1.39035e7 | − | 1.99903e6i | 1.27598 | − | 0.183458i | 0.529180 | − | 0.848510i | \(-0.322500\pi\) |
0.746797 | + | 0.665052i | \(0.231591\pi\) | |||||||
\(654\) | −4.42167e6 | + | 7.68996e6i | −0.404242 | + | 0.703040i | ||||
\(655\) | 1.35069e6 | + | 4.60004e6i | 0.123014 | + | 0.418947i | ||||
\(656\) | 5.93668e6 | + | 2.02185e7i | 0.538622 | + | 1.83438i | ||||
\(657\) | 4.45707e6 | − | 6.30623e6i | 0.402843 | − | 0.569975i | ||||
\(658\) | 2.26385e7 | − | 3.25492e6i | 2.03837 | − | 0.293073i | ||||
\(659\) | 1.04333e7 | + | 1.20406e7i | 0.935851 | + | 1.08003i | 0.996642 | + | 0.0818787i | \(0.0260920\pi\) |
−0.0607917 | + | 0.998150i | \(0.519363\pi\) | |||||||
\(660\) | 1.41676e6 | + | 4.07012e6i | 0.126601 | + | 0.363703i | ||||
\(661\) | −4.65089e6 | − | 7.23693e6i | −0.414031 | − | 0.644244i | 0.570124 | − | 0.821559i | \(-0.306895\pi\) |
−0.984154 | + | 0.177315i | \(0.943259\pi\) | |||||||
\(662\) | 1.35166e7 | + | 1.94339e6i | 1.19873 | + | 0.172352i | ||||
\(663\) | −2.41549e7 | − | 1.89265e7i | −2.13413 | − | 1.67219i | ||||
\(664\) | 5.71012e6 | + | 4.94784e6i | 0.502603 | + | 0.435508i | ||||
\(665\) | −3.76307e6 | − | 1.10494e6i | −0.329981 | − | 0.0968911i | ||||
\(666\) | −1.17233e7 | − | 2.21645e6i | −1.02415 | − | 0.193630i | ||||
\(667\) | 158781. | + | 1.05320e6i | 0.0138193 | + | 0.0916632i | ||||
\(668\) | − | 4.70768e6i | − | 0.408193i | ||||||
\(669\) | 4.54443e6 | + | 1.80999e6i | 0.392567 | + | 0.156354i | ||||
\(670\) | −7.05271e6 | + | 8.13927e6i | −0.606973 | + | 0.700484i | ||||
\(671\) | 582827. | − | 906896.i | 0.0499727 | − | 0.0777591i | ||||
\(672\) | 2.60078e6 | − | 1.08040e7i | 0.222167 | − | 0.922915i | ||||
\(673\) | 8.59636e6 | − | 5.52454e6i | 0.731605 | − | 0.470174i | −0.121051 | − | 0.992646i | \(-0.538627\pi\) |
0.852656 | + | 0.522472i | \(0.174990\pi\) | |||||||
\(674\) | −1.01444e7 | − | 2.22131e7i | −0.860154 | − | 1.88347i | ||||
\(675\) | 704175. | + | 1.52050e6i | 0.0594869 | + | 0.128448i | ||||
\(676\) | 2.71141e6 | + | 1.88583e7i | 0.228207 | + | 1.58721i | ||||
\(677\) | 8.37520e6 | − | 1.83391e7i | 0.702301 | − | 1.53782i | −0.134858 | − | 0.990865i | \(-0.543058\pi\) |
0.837159 | − | 0.546960i | \(-0.184215\pi\) | |||||||
\(678\) | 699625. | + | 3.59573e6i | 0.0584509 | + | 0.300409i | ||||
\(679\) | 1.85906e7 | − | 5.45869e6i | 1.54746 | − | 0.454375i | ||||
\(680\) | −7.92515e6 | − | 3.61930e6i | −0.657257 | − | 0.300159i | ||||
\(681\) | −512524. | − | 1.03727e7i | −0.0423493 | − | 0.857085i | ||||
\(682\) | 3.88287e6 | − | 3.36452e6i | 0.319662 | − | 0.276989i | ||||
\(683\) | 992680. | − | 453342.i | 0.0814250 | − | 0.0371855i | −0.374286 | − | 0.927313i | \(-0.622112\pi\) |
0.455711 | + | 0.890128i | \(0.349385\pi\) | |||||||
\(684\) | 936988. | + | 2.31667e6i | 0.0765762 | + | 0.189332i | ||||
\(685\) | −60685.2 | + | 422075.i | −0.00494147 | + | 0.0343687i | ||||
\(686\) | 1.31482e7 | + | 8.44985e6i | 1.06674 | + | 0.685549i | ||||
\(687\) | −6.09215e6 | − | 6.36665e6i | −0.492468 | − | 0.514658i | ||||
\(688\) | −6.70864e6 | + | 2.28475e7i | −0.540335 | + | 1.84021i | ||||
\(689\) | 2.95214e7 | 2.36913 | ||||||||
\(690\) | 1.43096e7 | + | 1.24224e6i | 1.14421 | + | 0.0993303i | ||||
\(691\) | 1.57855e7 | 1.25766 | 0.628831 | − | 0.777542i | \(-0.283534\pi\) | ||||
0.628831 | + | 0.777542i | \(0.283534\pi\) | |||||||
\(692\) | −1.64239e6 | + | 5.59347e6i | −0.130380 | + | 0.444034i | ||||
\(693\) | 5.93028e6 | + | 7.48625e6i | 0.469075 | + | 0.592149i | ||||
\(694\) | 8.51653e6 | + | 5.47324e6i | 0.671219 | + | 0.431366i | ||||
\(695\) | −480666. | + | 3.34310e6i | −0.0377469 | + | 0.262535i | ||||
\(696\) | 604323. | − | 312906.i | 0.0472875 | − | 0.0244845i | ||||
\(697\) | −2.42503e7 | + | 1.10747e7i | −1.89075 | + | 0.863477i | ||||
\(698\) | 1.25900e7 | − | 1.09093e7i | 0.978108 | − | 0.847536i | ||||
\(699\) | 1.16104e7 | − | 573678.i | 0.898780 | − | 0.0444094i | ||||
\(700\) | 873537. | + | 398931.i | 0.0673808 | + | 0.0307718i | ||||
\(701\) | −1.79461e7 | + | 5.26945e6i | −1.37935 | + | 0.405015i | −0.885544 | − | 0.464556i | \(-0.846214\pi\) |
−0.493809 | + | 0.869570i | \(0.664396\pi\) | |||||||
\(702\) | −171712. | − | 3.23232e7i | −0.0131510 | − | 2.47555i | ||||
\(703\) | −1.74207e6 | + | 3.81460e6i | −0.132947 | + | 0.291112i | ||||
\(704\) | −60971.0 | − | 424063.i | −0.00463652 | − | 0.0322477i | ||||
\(705\) | 1.69454e7 | − | 1.21120e7i | 1.28404 | − | 0.917791i | ||||
\(706\) | −9.27584e6 | − | 2.03113e7i | −0.700392 | − | 1.53365i | ||||
\(707\) | 324605. | − | 208611.i | 0.0244234 | − | 0.0156960i | ||||
\(708\) | 6.10564e6 | + | 1.46977e6i | 0.457771 | + | 0.110196i | ||||
\(709\) | 3.98461e6 | − | 6.20017e6i | 0.297694 | − | 0.463221i | −0.659895 | − | 0.751358i | \(-0.729399\pi\) |
0.957589 | + | 0.288137i | \(0.0930357\pi\) | |||||||
\(710\) | 1.04944e7 | − | 1.21112e7i | 0.781288 | − | 0.901654i | ||||
\(711\) | 4.93835e6 | − | 9.66293e6i | 0.366360 | − | 0.716861i | ||||
\(712\) | − | 1.04384e6i | − | 0.0771672i | ||||||
\(713\) | −1.72383e6 | − | 5.72576e6i | −0.126990 | − | 0.421802i | ||||
\(714\) | 2.22587e7 | + | 2.08568e6i | 1.63401 | + | 0.153110i | ||||
\(715\) | −1.87996e7 | − | 5.52005e6i | −1.37525 | − | 0.403811i | ||||
\(716\) | −579373. | − | 502030.i | −0.0422353 | − | 0.0365971i | ||||
\(717\) | 2.86243e6 | − | 3.65316e6i | 0.207939 | − | 0.265382i | ||||
\(718\) | −2.91436e7 | − | 4.19021e6i | −2.10975 | − | 0.303337i | ||||
\(719\) | 6.74984e6 | + | 1.05030e7i | 0.486935 | + | 0.757686i | 0.994590 | − | 0.103874i | \(-0.0331239\pi\) |
−0.507655 | + | 0.861560i | \(0.669488\pi\) | |||||||
\(720\) | −3.84939e6 | − | 1.56257e7i | −0.276733 | − | 1.12333i | ||||
\(721\) | −1.18472e7 | − | 1.36724e7i | −0.848748 | − | 0.979508i | ||||
\(722\) | −1.46965e7 | + | 2.11303e6i | −1.04923 | + | 0.150856i | ||||
\(723\) | −5.02104e6 | − | 2.88706e6i | −0.357230 | − | 0.205404i | ||||
\(724\) | −60360.2 | − | 205568.i | −0.00427961 | − | 0.0145750i | ||||
\(725\) | 52321.4 | + | 178190.i | 0.00369687 | + | 0.0125904i | ||||
\(726\) | 6.10415e6 | + | 3.50984e6i | 0.429817 | + | 0.247141i | ||||
\(727\) | −1.35955e7 | + | 1.95474e6i | −0.954023 | + | 0.137168i | −0.601710 | − | 0.798715i | \(-0.705514\pi\) |
−0.352313 | + | 0.935882i | \(0.614605\pi\) | |||||||
\(728\) | 1.04769e7 | + | 1.20909e7i | 0.732661 | + | 0.845535i | ||||
\(729\) | −1.89105e6 | + | 1.42237e7i | −0.131791 | + | 0.991278i | ||||
\(730\) | −6.24000e6 | − | 9.70962e6i | −0.433388 | − | 0.674365i | ||||
\(731\) | −2.98194e7 | − | 4.28738e6i | −2.06398 | − | 0.296755i | ||||
\(732\) | 572503. | − | 730655.i | 0.0394912 | − | 0.0504005i | ||||
\(733\) | 1.81401e7 | + | 1.57185e7i | 1.24704 | + | 1.08057i | 0.993570 | + | 0.113223i | \(0.0361173\pi\) |
0.253470 | + | 0.967343i | \(0.418428\pi\) | |||||||
\(734\) | −7.36957e6 | − | 2.16390e6i | −0.504896 | − | 0.148251i | ||||
\(735\) | 660968. | + | 61933.9i | 0.0451297 | + | 0.00422873i | ||||
\(736\) | 1.37525e7 | + | 3.93621e6i | 0.935811 | + | 0.267845i | ||||
\(737\) | − | 9.21805e6i | − | 0.625130i | ||||||
\(738\) | −2.50053e7 | − | 1.27793e7i | −1.69002 | − | 0.863703i | ||||
\(739\) | 2.39380e6 | − | 2.76259e6i | 0.161241 | − | 0.186082i | −0.669380 | − | 0.742920i | \(-0.733440\pi\) |
0.830621 | + | 0.556838i | \(0.187986\pi\) | |||||||
\(740\) | −3.36664e6 | + | 5.23860e6i | −0.226005 | + | 0.351671i | ||||
\(741\) | −1.10457e7 | − | 2.65897e6i | −0.739008 | − | 0.177896i | ||||
\(742\) | −1.80931e7 | + | 1.16278e7i | −1.20644 | + | 0.775329i | ||||
\(743\) | 889041. | + | 1.94673e6i | 0.0590812 | + | 0.129370i | 0.936870 | − | 0.349678i | \(-0.113709\pi\) |
−0.877789 | + | 0.479048i | \(0.840982\pi\) | |||||||
\(744\) | −3.10822e6 | + | 2.22166e6i | −0.205864 | + | 0.147145i | ||||
\(745\) | 3.36285e6 | + | 2.33891e7i | 0.221981 | + | 1.54391i | ||||
\(746\) | −4.58616e6 | + | 1.00423e7i | −0.301718 | + | 0.660671i | ||||
\(747\) | −1.75704e7 | + | 1.74058e6i | −1.15207 | + | 0.114128i | ||||
\(748\) | −8.28491e6 | + | 2.43267e6i | −0.541419 | + | 0.158975i | ||||
\(749\) | −4.53473e6 | − | 2.07094e6i | −0.295357 | − | 0.134885i | ||||
\(750\) | 2.01723e7 | − | 996729.i | 1.30949 | − | 0.0647029i | ||||
\(751\) | −3.65247e6 | + | 3.16489e6i | −0.236313 | + | 0.204766i | −0.764964 | − | 0.644073i | \(-0.777243\pi\) |
0.528651 | + | 0.848839i | \(0.322698\pi\) | |||||||
\(752\) | 3.00050e7 | − | 1.37028e7i | 1.93486 | − | 0.883621i | ||||
\(753\) | −1.22293e7 | + | 6.33207e6i | −0.785984 | + | 0.406966i | ||||
\(754\) | 509837. | − | 3.54599e6i | 0.0326590 | − | 0.227148i | ||||
\(755\) | −5.93594e6 | − | 3.81480e6i | −0.378985 | − | 0.243559i | ||||
\(756\) | 4.48261e6 | + | 6.89427e6i | 0.285250 | + | 0.438716i | ||||
\(757\) | 3.78507e6 | − | 1.28908e7i | 0.240068 | − | 0.817597i | −0.748016 | − | 0.663681i | \(-0.768993\pi\) |
0.988084 | − | 0.153916i | \(-0.0491885\pi\) | |||||||
\(758\) | 1.71467e7 | 1.08395 | ||||||||
\(759\) | −9.95258e6 | + | 7.21707e6i | −0.627092 | + | 0.454733i | ||||
\(760\) | −3.22567e6 | −0.202575 | ||||||||
\(761\) | −3.26322e6 | + | 1.11135e7i | −0.204260 | + | 0.695647i | 0.792099 | + | 0.610393i | \(0.208988\pi\) |
−0.996359 | + | 0.0852541i | \(0.972830\pi\) | |||||||
\(762\) | 9.71700e6 | + | 1.01548e7i | 0.606240 | + | 0.633556i | ||||
\(763\) | 8.63126e6 | + | 5.54697e6i | 0.536738 | + | 0.344941i | ||||
\(764\) | −110947. | + | 771651.i | −0.00687672 | + | 0.0478286i | ||||
\(765\) | 1.88746e7 | − | 7.63392e6i | 1.16607 | − | 0.471622i | ||||
\(766\) | −2.51848e7 | + | 1.15015e7i | −1.55084 | + | 0.708245i | ||||
\(767\) | −2.15777e7 | + | 1.86972e7i | −1.32439 | + | 1.14759i | ||||
\(768\) | −991534. | − | 2.00672e7i | −0.0606603 | − | 1.22767i | ||||
\(769\) | −5.79720e6 | − | 2.64749e6i | −0.353511 | − | 0.161443i | 0.230742 | − | 0.973015i | \(-0.425885\pi\) |
−0.584252 | + | 0.811572i | \(0.698612\pi\) | |||||||
\(770\) | 1.36961e7 | − | 4.02154e6i | 0.832473 | − | 0.244436i | ||||
\(771\) | −3.44671e6 | − | 1.77144e7i | −0.208818 | − | 1.07322i | ||||
\(772\) | 2.70940e6 | − | 5.93275e6i | 0.163617 | − | 0.358272i | ||||
\(773\) | 1.38345e6 | + | 9.62209e6i | 0.0832748 | + | 0.579189i | 0.988148 | + | 0.153507i | \(0.0490568\pi\) |
−0.904873 | + | 0.425682i | \(0.860034\pi\) | |||||||
\(774\) | −1.59638e7 | − | 2.74253e7i | −0.957819 | − | 1.64550i | ||||
\(775\) | −433120. | − | 948401.i | −0.0259033 | − | 0.0567202i | ||||
\(776\) | 1.34059e7 | − | 8.61547e6i | 0.799177 | − | 0.513600i | ||||
\(777\) | −3.22968e6 | + | 1.34166e7i | −0.191914 | + | 0.797239i | ||||
\(778\) | 1.89790e6 | − | 2.95319e6i | 0.112415 | − | 0.174921i | ||||
\(779\) | −6.46364e6 | + | 7.45944e6i | −0.381622 | + | 0.440415i | ||||
\(780\) | −1.56733e7 | − | 6.24245e6i | −0.922408 | − | 0.367383i | ||||
\(781\) | 1.37164e7i | 0.804660i | ||||||||
\(782\) | −3.90077e6 | + | 2.85125e7i | −0.228104 | + | 1.66732i | ||||
\(783\) | −439928. | + | 1.52824e6i | −0.0256435 | + | 0.0890816i | ||||
\(784\) | 1.00874e6 | + | 296194.i | 0.0586126 | + | 0.0172102i | ||||
\(785\) | −7.60142e6 | − | 6.58667e6i | −0.440272 | − | 0.381497i | ||||
\(786\) | −7.96436e6 | − | 6.24045e6i | −0.459827 | − | 0.360296i | ||||
\(787\) | 2.52354e7 | + | 3.62830e6i | 1.45236 | + | 0.208817i | 0.822886 | − | 0.568207i | \(-0.192363\pi\) |
0.629471 | + | 0.777024i | \(0.283272\pi\) | |||||||
\(788\) | −2.38153e6 | − | 3.70574e6i | −0.136628 | − | 0.212598i | ||||
\(789\) | 7.02964e6 | + | 2.01950e7i | 0.402013 | + | 1.15492i | ||||
\(790\) | −1.06212e7 | − | 1.22576e7i | −0.605491 | − | 0.698774i | ||||
\(791\) | 4.19381e6 | − | 602979.i | 0.238324 | − | 0.0342658i | ||||
\(792\) | 6.41457e6 | + | 4.53364e6i | 0.363375 | + | 0.256823i | ||||
\(793\) | 1.18894e6 | + | 4.04914e6i | 0.0671390 | + | 0.228655i | ||||
\(794\) | 5.43766e6 | + | 1.85190e7i | 0.306098 | + | 1.04248i | ||||
\(795\) | −9.76338e6 | + | 1.69800e7i | −0.547876 | + | 0.952842i | ||||
\(796\) | −74495.1 | + | 10710.8i | −0.00416721 | + | 0.000599154i | ||||
\(797\) | 8.70409e6 | + | 1.00451e7i | 0.485375 | + | 0.560153i | 0.944624 | − | 0.328155i | \(-0.106427\pi\) |
−0.459249 | + | 0.888308i | \(0.651881\pi\) | |||||||
\(798\) | 7.81703e6 | − | 2.72101e6i | 0.434545 | − | 0.151260i | ||||
\(799\) | 2.25622e7 | + | 3.51074e7i | 1.25030 | + | 1.94550i | ||||
\(800\) | 2.46882e6 | + | 354963.i | 0.136384 | + | 0.0196091i | ||||
\(801\) | 1.77136e6 | + | 1.67706e6i | 0.0975498 | + | 0.0923562i | ||||
\(802\) | −2.49380e7 | − | 2.16089e7i | −1.36907 | − | 1.18631i | ||||
\(803\) | 9.47871e6 | + | 2.78320e6i | 0.518753 | + | 0.152320i | ||||
\(804\) | 740483. | − | 7.90255e6i | 0.0403994 | − | 0.431149i | ||||
\(805\) | 2.25187e6 | − | 1.64599e7i | 0.122476 | − | 0.895237i | ||||
\(806\) | 2.01125e7i | 1.09050i | ||||||||
\(807\) | 7.25903e6 | − | 1.82256e7i | 0.392369 | − | 0.985142i | ||||
\(808\) | 207824. | − | 239842.i | 0.0111987 | − | 0.0129240i | ||||
\(809\) | −1.21997e6 | + | 1.89831e6i | −0.0655358 | + | 0.101976i | −0.872475 | − | 0.488659i | \(-0.837486\pi\) |
0.806939 | + | 0.590635i | \(0.201123\pi\) | |||||||
\(810\) | 1.86483e7 | + | 1.05912e7i | 0.998682 | + | 0.567196i | ||||
\(811\) | 6.24004e6 | − | 4.01023e6i | 0.333146 | − | 0.214100i | −0.363363 | − | 0.931647i | \(-0.618372\pi\) |
0.696510 | + | 0.717547i | \(0.254735\pi\) | |||||||
\(812\) | 378613. | + | 829047.i | 0.0201514 | + | 0.0441255i | ||||
\(813\) | −5.14927e6 | − | 7.20410e6i | −0.273224 | − | 0.382255i | ||||
\(814\) | −2.17214e6 | − | 1.51075e7i | −0.114902 | − | 0.799159i | ||||
\(815\) | −2.49677e6 | + | 5.46716e6i | −0.131669 | + | 0.288315i | ||||
\(816\) | 3.16495e7 | − | 6.15810e6i | 1.66396 | − | 0.323758i | ||||
\(817\) | −1.07019e7 | + | 3.14236e6i | −0.560926 | + | 0.164703i | ||||
\(818\) | 1.64932e7 | + | 7.53220e6i | 0.861831 | + | 0.393585i | ||||
\(819\) | −3.73504e7 | − | 1.64666e6i | −1.94574 | − | 0.0857817i | ||||
\(820\) | −1.10767e7 | + | 9.59804e6i | −0.575277 | + | 0.498480i | ||||
\(821\) | −7.38030e6 | + | 3.37047e6i | −0.382134 | + | 0.174515i | −0.597215 | − | 0.802081i | \(-0.703726\pi\) |
0.215080 | + | 0.976596i | \(0.430999\pi\) | |||||||
\(822\) | −413786. | − | 799156.i | −0.0213598 | − | 0.0412527i | ||||
\(823\) | 1.03241e6 | − | 7.18054e6i | 0.0531313 | − | 0.369537i | −0.945858 | − | 0.324582i | \(-0.894776\pi\) |
0.998989 | − | 0.0449549i | \(-0.0143144\pi\) | |||||||
\(824\) | −1.25174e7 | − | 8.04443e6i | −0.642237 | − | 0.412741i | ||||
\(825\) | −1.54877e6 | + | 1.48199e6i | −0.0792231 | + | 0.0758074i | ||||
\(826\) | 5.86022e6 | − | 1.99581e7i | 0.298857 | − | 1.01781i | ||||
\(827\) | −2.98197e7 | −1.51614 | −0.758072 | − | 0.652171i | \(-0.773858\pi\) | ||||
−0.758072 | + | 0.652171i | \(0.773858\pi\) | |||||||
\(828\) | −9.11200e6 | + | 5.38764e6i | −0.461889 | + | 0.273101i | ||||
\(829\) | 1.03159e6 | 0.0521340 | 0.0260670 | − | 0.999660i | \(-0.491702\pi\) | ||||
0.0260670 | + | 0.999660i | \(0.491702\pi\) | |||||||
\(830\) | −7.43477e6 | + | 2.53205e7i | −0.374604 | + | 1.27578i | ||||
\(831\) | 1.52133e7 | − | 1.45573e7i | 0.764222 | − | 0.731272i | ||||
\(832\) | 1.41088e6 | + | 906719.i | 0.0706614 | + | 0.0454113i | ||||
\(833\) | −189292. | + | 1.31656e6i | −0.00945193 | + | 0.0657396i | ||||
\(834\) | −3.27746e6 | − | 6.32983e6i | −0.163163 | − | 0.315121i | ||||
\(835\) | −1.29171e7 | + | 5.89902e6i | −0.641132 | + | 0.292795i | ||||
\(836\) | −2.41602e6 | + | 2.09350e6i | −0.119560 | + | 0.103599i | ||||
\(837\) | 1.22365e6 | − | 8.84394e6i | 0.0603731 | − | 0.436347i | ||||
\(838\) | 4.50217e7 | + | 2.05607e7i | 2.21468 | + | 1.01141i | ||||
\(839\) | −1.58104e7 | + | 4.64236e6i | −0.775422 | + | 0.227685i | −0.645419 | − | 0.763829i | \(-0.723317\pi\) |
−0.130004 | + | 0.991514i | \(0.541499\pi\) | |||||||
\(840\) | −1.04193e7 | + | 2.02731e6i | −0.509498 | + | 0.0991337i | ||||
\(841\) | 8.44742e6 | − | 1.84973e7i | 0.411845 | − | 0.901815i | ||||
\(842\) | −3.79188e6 | − | 2.63731e7i | −0.184321 | − | 1.28198i | ||||
\(843\) | −1.14002e7 | − | 1.59495e7i | −0.552515 | − | 0.772998i | ||||
\(844\) | −4.69031e6 | − | 1.02703e7i | −0.226645 | − | 0.496282i | ||||
\(845\) | 4.83463e7 | − | 3.10703e7i | 2.32928 | − | 1.49694i | ||||
\(846\) | −1.42302e7 | + | 4.15915e7i | −0.683575 | + | 1.99792i | ||||
\(847\) | 4.40308e6 | − | 6.85133e6i | 0.210886 | − | 0.328145i | ||||
\(848\) | −2.03130e7 | + | 2.34424e7i | −0.970028 | + | 1.11947i | ||||
\(849\) | −403781. | + | 1.01380e6i | −0.0192255 | + | 0.0482704i | ||||
\(850\) | 5.01782e6i | 0.238214i | ||||||||
\(851\) | −1.70781e7 | − | 4.88804e6i | −0.808379 | − | 0.231372i | ||||
\(852\) | −1.10183e6 | + | 1.17589e7i | −0.0520016 | + | 0.554969i | ||||
\(853\) | 2.08710e7 | + | 6.12827e6i | 0.982133 | + | 0.288380i | 0.733105 | − | 0.680116i | \(-0.238071\pi\) |
0.249029 | + | 0.968496i | \(0.419889\pi\) | |||||||
\(854\) | −2.32353e6 | − | 2.01335e6i | −0.109019 | − | 0.0944658i | ||||
\(855\) | 5.18244e6 | − | 5.47387e6i | 0.242448 | − | 0.256082i | ||||
\(856\) | −4.05846e6 | − | 583518.i | −0.189311 | − | 0.0272189i | ||||
\(857\) | 9.04739e6 | + | 1.40780e7i | 0.420796 | + | 0.654771i | 0.985334 | − | 0.170636i | \(-0.0545822\pi\) |
−0.564538 | + | 0.825407i | \(0.690946\pi\) | |||||||
\(858\) | 3.90523e7 | − | 1.35936e7i | 1.81104 | − | 0.630400i | ||||
\(859\) | 1.08792e7 | + | 1.25553e7i | 0.503054 | + | 0.580555i | 0.949306 | − | 0.314352i | \(-0.101787\pi\) |
−0.446253 | + | 0.894907i | \(0.647242\pi\) | |||||||
\(860\) | −1.63939e7 | + | 2.35708e6i | −0.755849 | + | 0.108675i | ||||
\(861\) | −1.61902e7 | + | 2.81574e7i | −0.744296 | + | 1.29445i | ||||
\(862\) | −566629. | − | 1.92976e6i | −0.0259735 | − | 0.0884577i | ||||
\(863\) | −1.55238e6 | − | 5.28692e6i | −0.0709531 | − | 0.241644i | 0.916379 | − | 0.400312i | \(-0.131098\pi\) |
−0.987332 | + | 0.158668i | \(0.949280\pi\) | |||||||
\(864\) | 1.62157e7 | + | 1.39009e7i | 0.739013 | + | 0.633516i | ||||
\(865\) | 1.74056e7 | − | 2.50254e6i | 0.790947 | − | 0.113721i | ||||
\(866\) | −5.71979e6 | − | 6.60099e6i | −0.259171 | − | 0.299099i | ||||
\(867\) | 6.13402e6 | + | 1.76221e7i | 0.277139 | + | 0.796176i | ||||
\(868\) | −2.76634e6 | − | 4.30452e6i | −0.124626 | − | 0.193921i | ||||
\(869\) | 1.37409e7 | + | 1.97564e6i | 0.617257 | + | 0.0887481i | ||||
\(870\) | 1.87096e6 | + | 1.46598e6i | 0.0838042 | + | 0.0656645i | ||||
\(871\) | 2.72714e7 | + | 2.36308e7i | 1.21804 | + | 1.05544i | ||||
\(872\) | 8.09669e6 | + | 2.37740e6i | 0.360592 | + | 0.105879i | ||||
\(873\) | −6.91809e6 | + | 3.65913e7i | −0.307221 | + | 1.62496i | ||||
\(874\) | 3.07157e6 | + | 1.02023e7i | 0.136013 | + | 0.451773i | ||||
\(875\) | − | 2.33604e7i | − | 1.03148i | ||||||
\(876\) | 7.90244e6 | + | 3.14743e6i | 0.347937 | + | 0.138579i | ||||
\(877\) | 5.45847e6 | − | 6.29941e6i | 0.239647 | − | 0.276567i | −0.623167 | − | 0.782089i | \(-0.714154\pi\) |
0.862814 | + | 0.505521i | \(0.168700\pi\) | |||||||
\(878\) | −3.87769e6 | + | 6.03380e6i | −0.169760 | + | 0.264152i | ||||
\(879\) | −9.69920e6 | + | 4.02919e7i | −0.423412 | + | 1.75892i | ||||
\(880\) | 1.73189e7 | − | 1.11302e7i | 0.753899 | − | 0.484502i | ||||
\(881\) | −945544. | − | 2.07045e6i | −0.0410433 | − | 0.0898722i | 0.888000 | − | 0.459844i | \(-0.152095\pi\) |
−0.929043 | + | 0.369972i | \(0.879367\pi\) | |||||||
\(882\) | −1.21086e6 | + | 704819.i | −0.0524109 | + | 0.0305074i | ||||
\(883\) | −248658. | − | 1.72945e6i | −0.0107325 | − | 0.0746461i | 0.983751 | − | 0.179537i | \(-0.0574599\pi\) |
−0.994484 | + | 0.104891i | \(0.966551\pi\) | |||||||
\(884\) | 1.40417e7 | − | 3.07469e7i | 0.604349 | − | 1.32334i | ||||
\(885\) | −3.61797e6 | − | 1.85946e7i | −0.155277 | − | 0.798045i | ||||
\(886\) | 7.50130e6 | − | 2.20258e6i | 0.321035 | − | 0.0942643i | ||||
\(887\) | 2.09983e7 | + | 9.58962e6i | 0.896140 | + | 0.409253i | 0.809591 | − | 0.586994i | \(-0.199689\pi\) |
0.0865488 | + | 0.996248i | \(0.472416\pi\) | |||||||
\(888\) | 560124. | + | 1.13361e7i | 0.0238370 | + | 0.482425i | ||||
\(889\) | 1.22858e7 | − | 1.06457e7i | 0.521373 | − | 0.451772i | ||||
\(890\) | 3.31636e6 | − | 1.51453e6i | 0.140342 | − | 0.0640919i | ||||
\(891\) | −1.79993e7 | + | 3.60149e6i | −0.759558 | + | 0.151980i | ||||
\(892\) | −766813. | + | 5.33330e6i | −0.0322684 | + | 0.224432i | ||||
\(893\) | 1.29980e7 | + | 8.35331e6i | 0.545442 | + | 0.350534i | ||||
\(894\) | −3.44775e7 | − | 3.60310e7i | −1.44275 | − | 1.50776i | ||||
\(895\) | −651491. | + | 2.21878e6i | −0.0271864 | + | 0.0925882i | ||||
\(896\) | −2.40339e7 | −1.00012 | ||||||||
\(897\) | 4.16224e6 | − | 4.79457e7i | 0.172721 | − | 1.98961i | ||||
\(898\) | −3.60662e7 | −1.49248 | ||||||||
\(899\) | 278780. | − | 949437.i | 0.0115044 | − | 0.0391802i | ||||
\(900\) | −1.44679e6 | + | 1.14609e6i | −0.0595389 | + | 0.0471641i | ||||
\(901\) | −3.30138e7 | − | 2.12167e7i | −1.35483 | − | 0.870694i | ||||
\(902\) | 5.11249e6 | − | 3.55581e7i | 0.209226 | − | 1.45520i | ||||
\(903\) | −3.25937e7 | + | 1.68763e7i | −1.33019 | + | 0.688745i | ||||
\(904\) | 3.16983e6 | − | 1.44761e6i | 0.129008 | − | 0.0589158i | ||||
\(905\) | −488408. | + | 423208.i | −0.0198226 | + | 0.0171764i | ||||
\(906\) | 1.48733e7 | − | 734904.i | 0.601988 | − | 0.0297447i | ||||
\(907\) | 8.89764e6 | + | 4.06342e6i | 0.359134 | + | 0.164011i | 0.586807 | − | 0.809727i | \(-0.300385\pi\) |
−0.227673 | + | 0.973738i | \(0.573112\pi\) | |||||||
\(908\) | 1.09762e7 | − | 3.22289e6i | 0.441810 | − | 0.129727i | ||||
\(909\) | 73109.6 | + | 738007.i | 0.00293471 | + | 0.0296245i | ||||
\(910\) | −2.32128e7 | + | 5.08290e7i | −0.929232 | + | 2.03474i | ||||
\(911\) | 5.03960e6 | + | 3.50512e7i | 0.201187 | + | 1.39929i | 0.800769 | + | 0.598974i | \(0.204425\pi\) |
−0.599582 | + | 0.800314i | \(0.704666\pi\) | |||||||
\(912\) | 9.71174e6 | − | 6.94165e6i | 0.386643 | − | 0.276360i | ||||
\(913\) | −9.38306e6 | − | 2.05460e7i | −0.372535 | − | 0.815739i | ||||
\(914\) | −1.28444e7 | + | 8.25458e6i | −0.508566 | + | 0.326836i | ||||
\(915\) | −2.72218e6 | − | 655291.i | −0.107489 | − | 0.0258751i | ||||
\(916\) | 5.24762e6 | − | 8.16545e6i | 0.206644 | − | 0.321545i | ||||
\(917\) | −7.66374e6 | + | 8.84443e6i | −0.300966 | + | 0.347333i | ||||
\(918\) | −2.30383e7 | + | 3.62704e7i | −0.902283 | + | 1.42052i | ||||
\(919\) | − | 3.23815e7i | − | 1.26476i | −0.774658 | − | 0.632381i | \(-0.782078\pi\) | ||
0.774658 | − | 0.632381i | \(-0.217922\pi\) | |||||||
\(920\) | −2.03696e6 | − | 1.35112e7i | −0.0793437 | − | 0.526287i | ||||
\(921\) | −2.74343e7 | − | 2.57064e6i | −1.06572 | − | 0.0998602i | ||||
\(922\) | −2.93515e6 | − | 861837.i | −0.113711 | − | 0.0333886i | ||||
\(923\) | −4.05797e7 | − | 3.51625e7i | −1.56785 | − | 1.35855i | ||||
\(924\) | −6.48834e6 | + | 8.28074e6i | −0.250008 | + | 0.319072i | ||||
\(925\) | −3.06582e6 | − | 440798.i | −0.117813 | − | 0.0169389i | ||||
\(926\) | −2.86238e7 | − | 4.45396e7i | −1.09698 | − | 1.70694i | ||||
\(927\) | 3.37619e7 | − | 8.31727e6i | 1.29041 | − | 0.317893i | ||||
\(928\) | 1.55017e6 | + | 1.78899e6i | 0.0590894 | + | 0.0681928i | ||||
\(929\) | 4.31709e7 | − | 6.20704e6i | 1.64116 | − | 0.235964i | 0.740997 | − | 0.671508i | \(-0.234353\pi\) |
0.900167 | + | 0.435545i | \(0.143444\pi\) | |||||||
\(930\) | −1.15682e7 | − | 6.65162e6i | −0.438590 | − | 0.252186i | ||||
\(931\) | 138739. | + | 472501.i | 0.00524594 | + | 0.0178660i | ||||
\(932\) | 3.60745e6 | + | 1.22858e7i | 0.136038 | + | 0.463303i | ||||
\(933\) | 1.54690e7 | + | 8.89455e6i | 0.581779 | + | 0.334518i | ||||
\(934\) | −2.76496e7 | + | 3.97541e6i | −1.03710 | + | 0.149113i | ||||
\(935\) | 1.70563e7 | + | 1.96841e7i | 0.638053 | + | 0.736353i | ||||
\(936\) | −2.98567e7 | + | 7.35521e6i | −1.11391 | + | 0.274413i | ||||
\(937\) | −1.43458e7 | − | 2.23225e7i | −0.533797 | − | 0.830605i | 0.464697 | − | 0.885470i | \(-0.346163\pi\) |
−0.998494 | + | 0.0548653i | \(0.982527\pi\) | |||||||
\(938\) | −2.60217e7 | − | 3.74136e6i | −0.965670 | − | 0.138842i | ||||
\(939\) | 5.12191e6 | − | 6.53683e6i | 0.189569 | − | 0.241937i | ||||
\(940\) | 1.73394e7 | + | 1.50246e7i | 0.640049 | + | 0.554606i | ||||
\(941\) | 2.83019e7 | + | 8.31018e6i | 1.04194 | + | 0.305940i | 0.757555 | − | 0.652771i | \(-0.226394\pi\) |
0.284381 | + | 0.958711i | \(0.408212\pi\) | |||||||
\(942\) | 2.11346e7 | + | 1.98035e6i | 0.776009 | + | 0.0727134i | ||||
\(943\) | −3.53266e7 | − | 2.23633e7i | −1.29367 | − | 0.818950i | ||||
\(944\) | − | 2.99996e7i | − | 1.09568i | ||||||
\(945\) | 1.32997e7 | − | 2.09385e7i | 0.484465 | − | 0.762721i | ||||
\(946\) | 2.65841e7 | − | 3.06797e7i | 0.965816 | − | 1.11461i | ||||
\(947\) | −1.29642e7 | + | 2.01726e7i | −0.469753 | + | 0.730950i | −0.992594 | − | 0.121480i | \(-0.961236\pi\) |
0.522841 | + | 0.852430i | \(0.324872\pi\) | |||||||
\(948\) | 1.16212e7 | + | 2.79750e6i | 0.419983 | + | 0.101100i | ||||
\(949\) | −3.25331e7 | + | 2.09077e7i | −1.17263 | + | 0.753601i | ||||
\(950\) | 771746. | + | 1.68989e6i | 0.0277438 | + | 0.0607504i | ||||
\(951\) | 4.27065e7 | − | 3.05253e7i | 1.53124 | − | 1.09448i | ||||
\(952\) | −3.02666e6 | − | 2.10509e7i | −0.108236 | − | 0.752797i | ||||
\(953\) | 1.06875e7 | − | 2.34024e7i | 0.381193 | − | 0.834697i | −0.617642 | − | 0.786459i | \(-0.711912\pi\) |
0.998836 | − | 0.0482381i | \(-0.0153606\pi\) | |||||||
\(954\) | −4.07505e6 | − | 4.11357e7i | −0.144965 | − | 1.46335i | ||||
\(955\) | 2.25630e6 | − | 662510.i | 0.0800551 | − | 0.0235063i | ||||
\(956\) | 4.65014e6 | + | 2.12365e6i | 0.164559 | + | 0.0751516i | ||||
\(957\) | −2.03194e6 | + | 100400.i | −0.0717184 | + | 0.00354367i | ||||
\(958\) | −2.30707e7 | + | 1.99909e7i | −0.812172 | + | 0.703751i | ||||
\(959\) | −946825. | + | 432400.i | −0.0332448 | + | 0.0151824i | ||||
\(960\) | −988132. | + | 511634.i | −0.0346048 | + | 0.0179177i | ||||
\(961\) | 3.28375e6 | − | 2.28390e7i | 0.114700 | − | 0.797753i | ||||
\(962\) | 5.02637e7 | + | 3.23025e7i | 1.75112 | + | 1.12538i | ||||
\(963\) | 7.51064e6 | − | 5.94960e6i | 0.260982 | − | 0.206739i | ||||
\(964\) | 1.79740e6 | − | 6.12137e6i | 0.0622947 | − | 0.212156i | ||||
\(965\) | −1.96735e7 | −0.680085 | ||||||||
\(966\) | 1.63337e7 | + | 3.10244e7i | 0.563171 | + | 1.06970i | ||||
\(967\) | −2.44682e7 | −0.841466 | −0.420733 | − | 0.907185i | \(-0.638227\pi\) | ||||
−0.420733 | + | 0.907185i | \(0.638227\pi\) | |||||||
\(968\) | 1.88714e6 | − | 6.42700e6i | 0.0647314 | − | 0.220455i | ||||
\(969\) | 1.04415e7 | + | 1.09120e7i | 0.357234 | + | 0.373330i | ||||
\(970\) | 4.68231e7 | + | 3.00914e7i | 1.59783 | + | 1.02686i | ||||
\(971\) | 4.00266e6 | − | 2.78391e7i | 0.136239 | − | 0.947561i | −0.800948 | − | 0.598734i | \(-0.795671\pi\) |
0.937187 | − | 0.348828i | \(-0.113420\pi\) | |||||||
\(972\) | −1.57199e7 | + | 1.64164e6i | −0.533685 | + | 0.0557331i | ||||
\(973\) | −7.49947e6 | + | 3.42489e6i | −0.253950 | + | 0.115975i | ||||
\(974\) | 4.87890e7 | − | 4.22759e7i | 1.64788 | − | 1.42789i | ||||
\(975\) | −414119. | − | 8.38115e6i | −0.0139513 | − | 0.282353i | ||||
\(976\) | −4.03343e6 | − | 1.84200e6i | −0.135534 | − | 0.0618965i | ||||
\(977\) | 2.23357e7 | − | 6.55836e6i | 0.748624 | − | 0.219816i | 0.114902 | − | 0.993377i | \(-0.463345\pi\) |
0.633722 | + | 0.773561i | \(0.281526\pi\) | |||||||
\(978\) | −2.42260e6 | − | 1.24509e7i | −0.0809905 | − | 0.416251i | ||||
\(979\) | −1.29631e6 | + | 2.83853e6i | −0.0432268 | + | 0.0946536i | ||||
\(980\) | 104068. | + | 723807.i | 0.00346139 | + | 0.0240745i | ||||
\(981\) | −1.70427e7 | + | 9.92027e6i | −0.565414 | + | 0.329117i | ||||
\(982\) | 2.07636e7 | + | 4.54659e7i | 0.687106 | + | 1.50455i | ||||
\(983\) | −7.64069e6 | + | 4.91038e6i | −0.252202 | + | 0.162081i | −0.660634 | − | 0.750708i | \(-0.729712\pi\) |
0.408431 | + | 0.912789i | \(0.366076\pi\) | |||||||
\(984\) | −6.25205e6 | + | 2.59720e7i | −0.205842 | + | 0.855100i | ||||
\(985\) | −7.18369e6 | + | 1.11780e7i | −0.235916 | + | 0.367092i | ||||
\(986\) | −3.11861e6 | + | 3.59907e6i | −0.102157 | + | 0.117896i | ||||
\(987\) | 4.72353e7 | + | 1.88132e7i | 1.54338 | + | 0.614709i | ||||
\(988\) | − | 1.25145e7i | − | 0.407870i | ||||||
\(989\) | −1.99203e7 | − | 4.28420e7i | −0.647598 | − | 1.39277i | ||||
\(990\) | −5.09671e6 | + | 2.69576e7i | −0.165273 | + | 0.874166i | ||||
\(991\) | 2.44473e6 | + | 717839.i | 0.0790765 | + | 0.0232190i | 0.321032 | − | 0.947069i | \(-0.395970\pi\) |
−0.241955 | + | 0.970287i | \(0.577789\pi\) | |||||||
\(992\) | −1.00437e7 | − | 8.70289e6i | −0.324051 | − | 0.280792i | ||||
\(993\) | 2.38955e7 | + | 1.87232e7i | 0.769028 | + | 0.602570i | ||||
\(994\) | 3.87201e7 | + | 5.56711e6i | 1.24300 | + | 0.178716i | ||||
\(995\) | 122736. | + | 190981.i | 0.00393019 | + | 0.00611549i | ||||
\(996\) | −6.39355e6 | − | 1.83677e7i | −0.204218 | − | 0.586686i | ||||
\(997\) | 3.67120e7 | + | 4.23679e7i | 1.16969 | + | 1.34989i | 0.924852 | + | 0.380328i | \(0.124189\pi\) |
0.244837 | + | 0.969564i | \(0.421266\pi\) | |||||||
\(998\) | −6.67321e7 | + | 9.59463e6i | −2.12084 | + | 0.304931i | ||||
\(999\) | −2.01369e7 | − | 1.72623e7i | −0.638379 | − | 0.547248i |
(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 | 69.6.g.a.5.8 | ✓ | 380 | |
3.2 | odd | 2 | inner | 69.6.g.a.5.31 | yes | 380 | |
23.14 | odd | 22 | inner | 69.6.g.a.14.31 | yes | 380 | |
69.14 | even | 22 | inner | 69.6.g.a.14.8 | yes | 380 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.6.g.a.5.8 | ✓ | 380 | 1.1 | even | 1 | trivial | |
69.6.g.a.5.31 | yes | 380 | 3.2 | odd | 2 | inner | |
69.6.g.a.14.8 | yes | 380 | 69.14 | even | 22 | inner | |
69.6.g.a.14.31 | yes | 380 | 23.14 | odd | 22 | inner |