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 | 17.4 | ||
Character | \(\chi\) | \(=\) | 38.17 |
Dual form | 38.6.e.b.9.4 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.694593 | − | 3.93923i | 0.122788 | − | 0.696364i | ||||
\(3\) | 7.96877 | + | 6.68659i | 0.511197 | + | 0.428945i | 0.861550 | − | 0.507672i | \(-0.169494\pi\) |
−0.350353 | + | 0.936618i | \(0.613938\pi\) | |||||||
\(4\) | −15.0351 | − | 5.47232i | −0.469846 | − | 0.171010i | ||||
\(5\) | −89.7666 | + | 32.6724i | −1.60579 | + | 0.584461i | −0.980602 | − | 0.196010i | \(-0.937202\pi\) |
−0.625192 | + | 0.780471i | \(0.714979\pi\) | |||||||
\(6\) | 31.8751 | − | 26.7464i | 0.361471 | − | 0.303310i | ||||
\(7\) | −116.109 | − | 201.107i | −0.895616 | − | 1.55125i | −0.833040 | − | 0.553212i | \(-0.813402\pi\) |
−0.0625755 | − | 0.998040i | \(-0.519931\pi\) | |||||||
\(8\) | −32.0000 | + | 55.4256i | −0.176777 | + | 0.306186i | ||||
\(9\) | −23.4057 | − | 132.740i | −0.0963198 | − | 0.546257i | ||||
\(10\) | 66.3528 | + | 376.305i | 0.209826 | + | 1.18998i | ||||
\(11\) | −172.940 | + | 299.541i | −0.430936 | + | 0.746404i | −0.996954 | − | 0.0779892i | \(-0.975150\pi\) |
0.566018 | + | 0.824393i | \(0.308483\pi\) | |||||||
\(12\) | −83.2199 | − | 144.141i | −0.166830 | − | 0.288958i | ||||
\(13\) | 387.869 | − | 325.461i | 0.636541 | − | 0.534122i | −0.266413 | − | 0.963859i | \(-0.585838\pi\) |
0.902954 | + | 0.429738i | \(0.141394\pi\) | |||||||
\(14\) | −872.856 | + | 317.694i | −1.19021 | + | 0.433200i | ||||
\(15\) | −933.796 | − | 339.874i | −1.07158 | − | 0.390023i | ||||
\(16\) | 196.107 | + | 164.554i | 0.191511 | + | 0.160697i | ||||
\(17\) | −138.413 | + | 784.980i | −0.116160 | + | 0.658773i | 0.870010 | + | 0.493034i | \(0.164112\pi\) |
−0.986170 | + | 0.165739i | \(0.946999\pi\) | |||||||
\(18\) | −539.153 | −0.392221 | ||||||||
\(19\) | −880.656 | + | 1304.05i | −0.559657 | + | 0.828724i | ||||
\(20\) | 1528.44 | 0.854425 | ||||||||
\(21\) | 419.474 | − | 2378.95i | 0.207566 | − | 1.17717i | ||||
\(22\) | 1059.84 | + | 889.309i | 0.466855 | + | 0.391738i | ||||
\(23\) | 1118.86 | + | 407.232i | 0.441018 | + | 0.160518i | 0.552979 | − | 0.833195i | \(-0.313491\pi\) |
−0.111961 | + | 0.993713i | \(0.535713\pi\) | |||||||
\(24\) | −625.609 | + | 227.703i | −0.221705 | + | 0.0806939i | ||||
\(25\) | 4596.67 | − | 3857.06i | 1.47093 | − | 1.23426i | ||||
\(26\) | −1012.65 | − | 1753.97i | −0.293784 | − | 0.508848i | ||||
\(27\) | 1964.97 | − | 3403.43i | 0.518736 | − | 0.898477i | ||||
\(28\) | 645.189 | + | 3659.05i | 0.155522 | + | 0.882010i | ||||
\(29\) | −73.8636 | − | 418.901i | −0.0163093 | − | 0.0924947i | 0.975567 | − | 0.219704i | \(-0.0705091\pi\) |
−0.991876 | + | 0.127209i | \(0.959398\pi\) | |||||||
\(30\) | −1987.45 | + | 3442.37i | −0.403175 | + | 0.698319i | ||||
\(31\) | −3323.92 | − | 5757.21i | −0.621222 | − | 1.07599i | −0.989258 | − | 0.146177i | \(-0.953303\pi\) |
0.368036 | − | 0.929811i | \(-0.380030\pi\) | |||||||
\(32\) | 784.430 | − | 658.215i | 0.135419 | − | 0.113630i | ||||
\(33\) | −3381.02 | + | 1230.59i | −0.540460 | + | 0.196711i | ||||
\(34\) | 2996.07 | + | 1090.48i | 0.444483 | + | 0.161779i | ||||
\(35\) | 16993.4 | + | 14259.1i | 2.34482 | + | 1.96754i | ||||
\(36\) | −374.491 | + | 2123.85i | −0.0481599 | + | 0.273128i | ||||
\(37\) | −7850.99 | −0.942801 | −0.471401 | − | 0.881919i | \(-0.656251\pi\) | ||||
−0.471401 | + | 0.881919i | \(0.656251\pi\) | |||||||
\(38\) | 4525.25 | + | 4374.89i | 0.508375 | + | 0.491482i | ||||
\(39\) | 5267.06 | 0.554507 | ||||||||
\(40\) | 1061.64 | − | 6020.89i | 0.104913 | − | 0.594991i | ||||
\(41\) | −12318.1 | − | 10336.1i | −1.14441 | − | 0.960276i | −0.144838 | − | 0.989455i | \(-0.546266\pi\) |
−0.999574 | + | 0.0291795i | \(0.990711\pi\) | |||||||
\(42\) | −9079.88 | − | 3304.81i | −0.794249 | − | 0.289083i | ||||
\(43\) | −12143.0 | + | 4419.71i | −1.00151 | + | 0.364521i | −0.790168 | − | 0.612891i | \(-0.790007\pi\) |
−0.211345 | + | 0.977412i | \(0.567784\pi\) | |||||||
\(44\) | 4239.35 | − | 3557.23i | 0.330116 | − | 0.277001i | ||||
\(45\) | 6438.00 | + | 11150.9i | 0.473936 | + | 0.820881i | ||||
\(46\) | 2381.34 | − | 4124.59i | 0.165930 | − | 0.287400i | ||||
\(47\) | −3679.63 | − | 20868.2i | −0.242974 | − | 1.37797i | −0.825151 | − | 0.564912i | \(-0.808910\pi\) |
0.582177 | − | 0.813062i | \(-0.302201\pi\) | |||||||
\(48\) | 462.432 | + | 2622.58i | 0.0289697 | + | 0.164296i | ||||
\(49\) | −18559.2 | + | 32145.5i | −1.10426 | + | 1.91263i | ||||
\(50\) | −12001.1 | − | 20786.4i | −0.678882 | − | 1.17586i | ||||
\(51\) | −6351.82 | + | 5329.81i | −0.341958 | + | 0.286937i | ||||
\(52\) | −7612.67 | + | 2770.78i | −0.390417 | + | 0.142100i | ||||
\(53\) | 27337.3 | + | 9949.97i | 1.33680 | + | 0.486555i | 0.908803 | − | 0.417225i | \(-0.136997\pi\) |
0.427996 | + | 0.903781i | \(0.359220\pi\) | |||||||
\(54\) | −12042.0 | − | 10104.5i | −0.561973 | − | 0.471551i | ||||
\(55\) | 5737.52 | − | 32539.1i | 0.255751 | − | 1.45044i | ||||
\(56\) | 14862.0 | 0.633296 | ||||||||
\(57\) | −15737.4 | + | 4503.09i | −0.641572 | + | 0.183579i | ||||
\(58\) | −1701.45 | −0.0664126 | ||||||||
\(59\) | 1622.96 | − | 9204.26i | 0.0606985 | − | 0.344238i | −0.939301 | − | 0.343095i | \(-0.888525\pi\) |
0.999999 | − | 0.00114356i | \(-0.000364007\pi\) | |||||||
\(60\) | 12179.8 | + | 10220.1i | 0.436779 | + | 0.366502i | ||||
\(61\) | 7819.16 | + | 2845.94i | 0.269052 | + | 0.0979268i | 0.473023 | − | 0.881050i | \(-0.343163\pi\) |
−0.203971 | + | 0.978977i | \(0.565385\pi\) | |||||||
\(62\) | −24987.7 | + | 9094.79i | −0.825558 | + | 0.300479i | ||||
\(63\) | −23977.4 | + | 20119.5i | −0.761117 | + | 0.638653i | ||||
\(64\) | −2048.00 | − | 3547.24i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −24184.1 | + | 41888.1i | −0.709981 | + | 1.22972i | ||||
\(66\) | 2499.15 | + | 14173.4i | 0.0706208 | + | 0.400511i | ||||
\(67\) | −2491.34 | − | 14129.1i | −0.0678026 | − | 0.384527i | −0.999759 | − | 0.0219570i | \(-0.993010\pi\) |
0.931956 | − | 0.362570i | \(-0.118101\pi\) | |||||||
\(68\) | 6376.71 | − | 11044.8i | 0.167234 | − | 0.289658i | ||||
\(69\) | 6192.96 | + | 10726.5i | 0.156594 | + | 0.271229i | ||||
\(70\) | 67973.5 | − | 57036.6i | 1.65804 | − | 1.39126i | ||||
\(71\) | 29318.6 | − | 10671.1i | 0.690235 | − | 0.251225i | 0.0269990 | − | 0.999635i | \(-0.491405\pi\) |
0.663236 | + | 0.748411i | \(0.269183\pi\) | |||||||
\(72\) | 8106.20 | + | 2950.42i | 0.184283 | + | 0.0670737i | ||||
\(73\) | 1526.18 | + | 1280.61i | 0.0335195 | + | 0.0281262i | 0.659394 | − | 0.751798i | \(-0.270813\pi\) |
−0.625874 | + | 0.779924i | \(0.715258\pi\) | |||||||
\(74\) | −5453.24 | + | 30926.9i | −0.115764 | + | 0.656533i | ||||
\(75\) | 62420.4 | 1.28137 | ||||||||
\(76\) | 20376.9 | − | 14787.3i | 0.404673 | − | 0.293666i | ||||
\(77\) | 80319.7 | 1.54381 | ||||||||
\(78\) | 3658.46 | − | 20748.2i | 0.0680867 | − | 0.386139i | ||||
\(79\) | −7371.85 | − | 6185.72i | −0.132895 | − | 0.111512i | 0.573917 | − | 0.818913i | \(-0.305423\pi\) |
−0.706812 | + | 0.707401i | \(0.749868\pi\) | |||||||
\(80\) | −22980.3 | − | 8364.13i | −0.401448 | − | 0.146115i | ||||
\(81\) | 7637.48 | − | 2779.82i | 0.129341 | − | 0.0470764i | ||||
\(82\) | −49272.2 | + | 41344.3i | −0.809222 | + | 0.679018i | ||||
\(83\) | 17089.7 | + | 29600.3i | 0.272295 | + | 0.471629i | 0.969449 | − | 0.245292i | \(-0.0788839\pi\) |
−0.697154 | + | 0.716921i | \(0.745551\pi\) | |||||||
\(84\) | −19325.2 | + | 33472.3i | −0.298831 | + | 0.517591i | ||||
\(85\) | −13222.3 | − | 74987.2i | −0.198499 | − | 1.12574i | ||||
\(86\) | 8975.77 | + | 50904.1i | 0.130866 | + | 0.742176i | ||||
\(87\) | 2212.42 | − | 3832.03i | 0.0313379 | − | 0.0542788i | ||||
\(88\) | −11068.1 | − | 19170.6i | −0.152359 | − | 0.263894i | ||||
\(89\) | −85277.6 | + | 71556.4i | −1.14120 | + | 0.957577i | −0.999477 | − | 0.0323300i | \(-0.989707\pi\) |
−0.141719 | + | 0.989907i | \(0.545263\pi\) | |||||||
\(90\) | 48397.9 | − | 17615.4i | 0.629825 | − | 0.229238i | ||||
\(91\) | −110488. | − | 40214.2i | −1.39865 | − | 0.509068i | ||||
\(92\) | −14593.7 | − | 12245.5i | −0.179761 | − | 0.150837i | ||||
\(93\) | 12008.5 | − | 68103.6i | 0.143973 | − | 0.816512i | ||||
\(94\) | −84760.6 | −0.989406 | ||||||||
\(95\) | 36447.1 | − | 145833.i | 0.414337 | − | 1.65786i | ||||
\(96\) | 10652.2 | 0.117967 | ||||||||
\(97\) | 16843.0 | − | 95521.2i | 0.181756 | − | 1.03079i | −0.748297 | − | 0.663364i | \(-0.769128\pi\) |
0.930053 | − | 0.367426i | \(-0.119761\pi\) | |||||||
\(98\) | 113738. | + | 95437.1i | 1.19630 | + | 1.00381i | ||||
\(99\) | 43808.9 | + | 15945.1i | 0.449236 | + | 0.163509i | ||||
\(100\) | −90218.4 | + | 32836.8i | −0.902184 | + | 0.328368i | ||||
\(101\) | −130300. | + | 109334.i | −1.27098 | + | 1.06648i | −0.276562 | + | 0.960996i | \(0.589195\pi\) |
−0.994421 | + | 0.105485i | \(0.966361\pi\) | |||||||
\(102\) | 16583.4 | + | 28723.3i | 0.157824 | + | 0.273360i | ||||
\(103\) | 36285.5 | − | 62848.3i | 0.337008 | − | 0.583714i | −0.646861 | − | 0.762608i | \(-0.723919\pi\) |
0.983868 | + | 0.178894i | \(0.0572519\pi\) | |||||||
\(104\) | 5627.06 | + | 31912.6i | 0.0510150 | + | 0.289320i | ||||
\(105\) | 40071.3 | + | 227256.i | 0.354699 | + | 2.01160i | ||||
\(106\) | 58183.5 | − | 100777.i | 0.502962 | − | 0.871156i | ||||
\(107\) | 34010.7 | + | 58908.3i | 0.287181 | + | 0.497413i | 0.973136 | − | 0.230232i | \(-0.0739485\pi\) |
−0.685955 | + | 0.727644i | \(0.740615\pi\) | |||||||
\(108\) | −48168.1 | + | 40417.9i | −0.397375 | + | 0.333437i | ||||
\(109\) | 18213.7 | − | 6629.24i | 0.146836 | − | 0.0534438i | −0.267557 | − | 0.963542i | \(-0.586216\pi\) |
0.414392 | + | 0.910098i | \(0.363994\pi\) | |||||||
\(110\) | −124194. | − | 45202.8i | −0.978629 | − | 0.356192i | ||||
\(111\) | −62562.7 | − | 52496.4i | −0.481957 | − | 0.404410i | ||||
\(112\) | 10323.0 | − | 58544.8i | 0.0777610 | − | 0.441005i | ||||
\(113\) | −128260. | −0.944917 | −0.472458 | − | 0.881353i | \(-0.656633\pi\) | ||||
−0.472458 | + | 0.881353i | \(0.656633\pi\) | |||||||
\(114\) | 6807.62 | + | 65121.0i | 0.0490606 | + | 0.469309i | ||||
\(115\) | −113742. | −0.802001 | ||||||||
\(116\) | −1181.82 | + | 6702.42i | −0.00815465 | + | 0.0462473i | ||||
\(117\) | −52280.1 | − | 43868.2i | −0.353079 | − | 0.296269i | ||||
\(118\) | −35130.4 | − | 12786.4i | −0.232262 | − | 0.0845365i | ||||
\(119\) | 173936. | − | 63307.5i | 1.12596 | − | 0.409815i | ||||
\(120\) | 48719.2 | − | 40880.3i | 0.308850 | − | 0.259156i | ||||
\(121\) | 20709.1 | + | 35869.3i | 0.128588 | + | 0.222720i | ||||
\(122\) | 16642.0 | − | 28824.7i | 0.101229 | − | 0.175334i | ||||
\(123\) | −29046.6 | − | 164732.i | −0.173114 | − | 0.981780i | ||||
\(124\) | 18470.2 | + | 104750.i | 0.107874 | + | 0.611784i | ||||
\(125\) | −137346. | + | 237891.i | −0.786215 | + | 1.36176i | ||||
\(126\) | 62600.6 | + | 108427.i | 0.351279 | + | 0.608433i | ||||
\(127\) | 72717.5 | − | 61017.2i | 0.400064 | − | 0.335694i | −0.420454 | − | 0.907314i | \(-0.638129\pi\) |
0.820518 | + | 0.571620i | \(0.193685\pi\) | |||||||
\(128\) | −15395.9 | + | 5603.66i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | −126318. | − | 45976.0i | −0.668330 | − | 0.243252i | ||||
\(130\) | 148209. | + | 124362.i | 0.769158 | + | 0.645400i | ||||
\(131\) | 46092.4 | − | 261403.i | 0.234666 | − | 1.33086i | −0.608649 | − | 0.793440i | \(-0.708288\pi\) |
0.843315 | − | 0.537419i | \(-0.180601\pi\) | |||||||
\(132\) | 57568.2 | 0.287573 | ||||||||
\(133\) | 364506. | + | 25693.9i | 1.78680 | + | 0.125951i | ||||
\(134\) | −57388.2 | −0.276096 | ||||||||
\(135\) | −65190.6 | + | 369714.i | −0.307858 | + | 1.74595i | ||||
\(136\) | −39078.8 | − | 32791.0i | −0.181173 | − | 0.152022i | ||||
\(137\) | 65423.5 | + | 23812.2i | 0.297805 | + | 0.108392i | 0.486601 | − | 0.873624i | \(-0.338236\pi\) |
−0.188796 | + | 0.982016i | \(0.560459\pi\) | |||||||
\(138\) | 46555.8 | − | 16944.9i | 0.208102 | − | 0.0757429i | ||||
\(139\) | 283037. | − | 237497.i | 1.24253 | − | 1.04261i | 0.245208 | − | 0.969471i | \(-0.421144\pi\) |
0.997322 | − | 0.0731356i | \(-0.0233006\pi\) | |||||||
\(140\) | −177466. | − | 307381.i | −0.765237 | − | 1.32543i | ||||
\(141\) | 110215. | − | 190898.i | 0.466868 | − | 0.808638i | ||||
\(142\) | −21671.4 | − | 122905.i | −0.0901916 | − | 0.511502i | ||||
\(143\) | 30410.7 | + | 172468.i | 0.124362 | + | 0.705289i | ||||
\(144\) | 17252.9 | − | 29882.9i | 0.0693355 | − | 0.120093i | ||||
\(145\) | 20317.0 | + | 35190.1i | 0.0802489 | + | 0.138995i | ||||
\(146\) | 6104.71 | − | 5122.46i | 0.0237019 | − | 0.0198882i | ||||
\(147\) | −362838. | + | 132062.i | −1.38490 | + | 0.504064i | ||||
\(148\) | 118040. | + | 42963.1i | 0.442972 | + | 0.161228i | ||||
\(149\) | 8308.13 | + | 6971.35i | 0.0306576 | + | 0.0257247i | 0.657988 | − | 0.753029i | \(-0.271408\pi\) |
−0.627330 | + | 0.778753i | \(0.715852\pi\) | |||||||
\(150\) | 43356.8 | − | 245889.i | 0.157336 | − | 0.892298i | ||||
\(151\) | 33593.4 | 0.119898 | 0.0599489 | − | 0.998201i | \(-0.480906\pi\) | ||||
0.0599489 | + | 0.998201i | \(0.480906\pi\) | |||||||
\(152\) | −44096.8 | − | 90540.5i | −0.154810 | − | 0.317858i | ||||
\(153\) | 107438. | 0.371048 | ||||||||
\(154\) | 55789.5 | − | 316398.i | 0.189562 | − | 1.07506i | ||||
\(155\) | 486479. | + | 408204.i | 1.62643 | + | 1.36473i | ||||
\(156\) | −79190.7 | − | 28823.1i | −0.260533 | − | 0.0948262i | ||||
\(157\) | −537140. | + | 195503.i | −1.73915 | + | 0.633001i | −0.999213 | − | 0.0396702i | \(-0.987369\pi\) |
−0.739942 | + | 0.672671i | \(0.765147\pi\) | |||||||
\(158\) | −29487.4 | + | 24742.9i | −0.0939710 | + | 0.0788510i | ||||
\(159\) | 151313. | + | 262083.i | 0.474662 | + | 0.822139i | ||||
\(160\) | −48910.1 | + | 84714.9i | −0.151042 | + | 0.261613i | ||||
\(161\) | −48012.9 | − | 272295.i | −0.145980 | − | 0.827893i | ||||
\(162\) | −5645.40 | − | 32016.6i | −0.0169008 | − | 0.0958491i | ||||
\(163\) | −220528. | + | 381966.i | −0.650123 | + | 1.12605i | 0.332970 | + | 0.942937i | \(0.391949\pi\) |
−0.983093 | + | 0.183108i | \(0.941384\pi\) | |||||||
\(164\) | 128641. | + | 222812.i | 0.373481 | + | 0.646888i | ||||
\(165\) | 263297. | − | 220932.i | 0.752897 | − | 0.631755i | ||||
\(166\) | 128473. | − | 46760.3i | 0.361860 | − | 0.131706i | ||||
\(167\) | 30358.4 | + | 11049.6i | 0.0842341 | + | 0.0306587i | 0.383793 | − | 0.923419i | \(-0.374617\pi\) |
−0.299559 | + | 0.954078i | \(0.596840\pi\) | |||||||
\(168\) | 118432. | + | 99376.1i | 0.323739 | + | 0.271649i | ||||
\(169\) | −19956.7 | + | 113180.i | −0.0537492 | + | 0.304827i | ||||
\(170\) | −304576. | −0.808302 | ||||||||
\(171\) | 193712. | + | 86376.4i | 0.506602 | + | 0.225894i | ||||
\(172\) | 206758. | 0.532894 | ||||||||
\(173\) | −24329.4 | + | 137979.i | −0.0618040 | + | 0.350508i | 0.938186 | + | 0.346130i | \(0.112504\pi\) |
−0.999990 | + | 0.00437739i | \(0.998607\pi\) | |||||||
\(174\) | −13558.5 | − | 11376.9i | −0.0339499 | − | 0.0284874i | ||||
\(175\) | −1.30940e6 | − | 476582.i | −3.23204 | − | 1.17637i | ||||
\(176\) | −83205.3 | + | 30284.2i | −0.202474 | + | 0.0736945i | ||||
\(177\) | 74478.1 | − | 62494.6i | 0.178688 | − | 0.149937i | ||||
\(178\) | 222644. | + | 385631.i | 0.526697 | + | 0.912267i | ||||
\(179\) | −102543. | + | 177610.i | −0.239208 | + | 0.414320i | −0.960487 | − | 0.278324i | \(-0.910221\pi\) |
0.721279 | + | 0.692644i | \(0.243554\pi\) | |||||||
\(180\) | −35774.3 | − | 202886.i | −0.0822981 | − | 0.466736i | ||||
\(181\) | −103636. | − | 587749.i | −0.235133 | − | 1.33351i | −0.842333 | − | 0.538957i | \(-0.818818\pi\) |
0.607200 | − | 0.794549i | \(-0.292293\pi\) | |||||||
\(182\) | −235157. | + | 407304.i | −0.526235 | + | 0.911465i | ||||
\(183\) | 43279.4 | + | 74962.2i | 0.0955331 | + | 0.165468i | ||||
\(184\) | −58374.7 | + | 48982.2i | −0.127110 | + | 0.106658i | ||||
\(185\) | 704757. | − | 256510.i | 1.51394 | − | 0.551031i | ||||
\(186\) | −259935. | − | 94608.5i | −0.550912 | − | 0.200515i | ||||
\(187\) | −211196. | − | 177215.i | −0.441654 | − | 0.370591i | ||||
\(188\) | −58874.1 | + | 333892.i | −0.121487 | + | 0.688987i | ||||
\(189\) | −912605. | −1.85835 | ||||||||
\(190\) | −549155. | − | 244868.i | −1.10360 | − | 0.492094i | ||||
\(191\) | 374224. | 0.742246 | 0.371123 | − | 0.928584i | \(-0.378973\pi\) | ||||
0.371123 | + | 0.928584i | \(0.378973\pi\) | |||||||
\(192\) | 7398.91 | − | 41961.3i | 0.0144849 | − | 0.0821478i | ||||
\(193\) | 141787. | + | 118974.i | 0.273996 | + | 0.229910i | 0.769423 | − | 0.638740i | \(-0.220544\pi\) |
−0.495427 | + | 0.868650i | \(0.664988\pi\) | |||||||
\(194\) | −364581. | − | 132697.i | −0.695488 | − | 0.253137i | ||||
\(195\) | −472806. | + | 172087.i | −0.890424 | + | 0.324088i | ||||
\(196\) | 454950. | − | 381749.i | 0.845909 | − | 0.709802i | ||||
\(197\) | −74759.7 | − | 129488.i | −0.137247 | − | 0.237718i | 0.789207 | − | 0.614128i | \(-0.210492\pi\) |
−0.926453 | + | 0.376409i | \(0.877159\pi\) | |||||||
\(198\) | 93240.9 | − | 161498.i | 0.169022 | − | 0.292755i | ||||
\(199\) | −53122.9 | − | 301275.i | −0.0950931 | − | 0.539300i | −0.994719 | − | 0.102638i | \(-0.967272\pi\) |
0.899626 | − | 0.436662i | \(-0.143839\pi\) | |||||||
\(200\) | 66686.8 | + | 378199.i | 0.117887 | + | 0.668568i | ||||
\(201\) | 74622.6 | − | 129250.i | 0.130281 | − | 0.225653i | ||||
\(202\) | 340188. | + | 589223.i | 0.586598 | + | 1.01602i | ||||
\(203\) | −75667.8 | + | 63492.8i | −0.128876 | + | 0.108140i | ||||
\(204\) | 124667. | − | 45374.9i | 0.209737 | − | 0.0763380i | ||||
\(205\) | 1.44345e6 | + | 525374.i | 2.39893 | + | 0.873141i | ||||
\(206\) | −222370. | − | 186591.i | −0.365097 | − | 0.306353i | ||||
\(207\) | 27868.4 | − | 158050.i | 0.0452050 | − | 0.256370i | ||||
\(208\) | 129620. | 0.207736 | ||||||||
\(209\) | −238315. | − | 489314.i | −0.377386 | − | 0.774858i | ||||
\(210\) | 923046. | 1.44436 | ||||||||
\(211\) | 140609. | − | 797436.i | 0.217424 | − | 1.23308i | −0.659225 | − | 0.751946i | \(-0.729116\pi\) |
0.876649 | − | 0.481130i | \(-0.159773\pi\) | |||||||
\(212\) | −356569. | − | 299197.i | −0.544884 | − | 0.457212i | ||||
\(213\) | 304986. | + | 111006.i | 0.460608 | + | 0.167647i | ||||
\(214\) | 255677. | − | 93058.8i | 0.381643 | − | 0.138907i | ||||
\(215\) | 945637. | − | 793484.i | 1.39517 | − | 1.17069i | ||||
\(216\) | 125758. | + | 217819.i | 0.183401 | + | 0.317660i | ||||
\(217\) | −771877. | + | 1.33693e6i | −1.11275 | + | 1.92734i | ||||
\(218\) | −13463.0 | − | 76352.5i | −0.0191867 | − | 0.108813i | ||||
\(219\) | 3598.81 | + | 20409.8i | 0.00507047 | + | 0.0287561i | ||||
\(220\) | −264328. | + | 457830.i | −0.368203 | + | 0.637746i | ||||
\(221\) | 201794. | + | 349517.i | 0.277925 | + | 0.481380i | ||||
\(222\) | −250251. | + | 209985.i | −0.340795 | + | 0.285961i | ||||
\(223\) | −596319. | + | 217042.i | −0.803002 | + | 0.292269i | −0.710730 | − | 0.703465i | \(-0.751635\pi\) |
−0.0922719 | + | 0.995734i | \(0.529413\pi\) | |||||||
\(224\) | −223451. | − | 81329.6i | −0.297552 | − | 0.108300i | ||||
\(225\) | −619577. | − | 519887.i | −0.815904 | − | 0.684624i | ||||
\(226\) | −89088.1 | + | 505244.i | −0.116024 | + | 0.658006i | ||||
\(227\) | −93859.7 | −0.120897 | −0.0604484 | − | 0.998171i | \(-0.519253\pi\) | ||||
−0.0604484 | + | 0.998171i | \(0.519253\pi\) | |||||||
\(228\) | 261255. | + | 18415.8i | 0.332834 | + | 0.0234614i | ||||
\(229\) | 176185. | 0.222014 | 0.111007 | − | 0.993820i | \(-0.464592\pi\) | ||||
0.111007 | + | 0.993820i | \(0.464592\pi\) | |||||||
\(230\) | −79004.1 | + | 448055.i | −0.0984759 | + | 0.558485i | ||||
\(231\) | 640049. | + | 537065.i | 0.789193 | + | 0.662212i | ||||
\(232\) | 25581.5 | + | 9310.91i | 0.0312037 | + | 0.0113572i | ||||
\(233\) | 212521. | − | 77351.4i | 0.256456 | − | 0.0933423i | −0.210593 | − | 0.977574i | \(-0.567539\pi\) |
0.467049 | + | 0.884232i | \(0.345317\pi\) | |||||||
\(234\) | −209121. | + | 175473.i | −0.249665 | + | 0.209493i | ||||
\(235\) | 1.01212e6 | + | 1.75305e6i | 1.19554 | + | 2.07073i | ||||
\(236\) | −74770.0 | + | 129505.i | −0.0873871 | + | 0.151359i | ||||
\(237\) | −17383.2 | − | 98585.2i | −0.0201029 | − | 0.114009i | ||||
\(238\) | −128568. | − | 729147.i | −0.147127 | − | 0.834397i | ||||
\(239\) | 171998. | − | 297910.i | 0.194773 | − | 0.337357i | −0.752053 | − | 0.659103i | \(-0.770936\pi\) |
0.946826 | + | 0.321746i | \(0.104270\pi\) | |||||||
\(240\) | −127197. | − | 220311.i | −0.142544 | − | 0.246893i | ||||
\(241\) | 1.21561e6 | − | 1.02001e6i | 1.34819 | − | 1.13126i | 0.368746 | − | 0.929530i | \(-0.379787\pi\) |
0.979441 | − | 0.201732i | \(-0.0646571\pi\) | |||||||
\(242\) | 155682. | − | 56663.6i | 0.170883 | − | 0.0621964i | ||||
\(243\) | −817934. | − | 297704.i | −0.888593 | − | 0.323421i | ||||
\(244\) | −101988. | − | 85577.9i | −0.109666 | − | 0.0920211i | ||||
\(245\) | 615728. | − | 3.49197e6i | 0.655351 | − | 3.71668i | ||||
\(246\) | −669092. | −0.704933 | ||||||||
\(247\) | 82837.8 | + | 792419.i | 0.0863946 | + | 0.826442i | ||||
\(248\) | 425462. | 0.439270 | ||||||||
\(249\) | −61740.9 | + | 350150.i | −0.0631066 | + | 0.357895i | ||||
\(250\) | 841706. | + | 706275.i | 0.851747 | + | 0.714700i | ||||
\(251\) | −700980. | − | 255136.i | −0.702298 | − | 0.255616i | −0.0339063 | − | 0.999425i | \(-0.510795\pi\) |
−0.668392 | + | 0.743809i | \(0.733017\pi\) | |||||||
\(252\) | 470603. | − | 171285.i | 0.466824 | − | 0.169910i | ||||
\(253\) | −315478. | + | 264718.i | −0.309862 | + | 0.260005i | ||||
\(254\) | −189852. | − | 328833.i | −0.184642 | − | 0.319809i | ||||
\(255\) | 396044. | − | 685968.i | 0.381411 | − | 0.660623i | ||||
\(256\) | 11380.2 | + | 64540.4i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 334499. | + | 1.89704e6i | 0.315909 | + | 1.79161i | 0.567079 | + | 0.823664i | \(0.308074\pi\) |
−0.251170 | + | 0.967943i | \(0.580815\pi\) | |||||||
\(258\) | −268849. | + | 465661.i | −0.251455 | + | 0.435532i | ||||
\(259\) | 911573. | + | 1.57889e6i | 0.844388 | + | 1.46252i | ||||
\(260\) | 592835. | − | 497448.i | 0.543877 | − | 0.456367i | ||||
\(261\) | −53876.3 | + | 19609.4i | −0.0489549 | + | 0.0178181i | ||||
\(262\) | −997710. | − | 363137.i | −0.897948 | − | 0.326826i | ||||
\(263\) | −738941. | − | 620045.i | −0.658750 | − | 0.552757i | 0.250962 | − | 0.967997i | \(-0.419253\pi\) |
−0.909712 | + | 0.415240i | \(0.863698\pi\) | |||||||
\(264\) | 39986.4 | − | 226774.i | 0.0353104 | − | 0.200255i | ||||
\(265\) | −2.77907e6 | −2.43100 | ||||||||
\(266\) | 354397. | − | 1.41803e6i | 0.307105 | − | 1.22880i | ||||
\(267\) | −1.15803e6 | −0.994124 | ||||||||
\(268\) | −39861.4 | + | 226066.i | −0.0339013 | + | 0.192264i | ||||
\(269\) | −1.23381e6 | − | 1.03529e6i | −1.03960 | − | 0.872329i | −0.0476386 | − | 0.998865i | \(-0.515170\pi\) |
−0.991962 | + | 0.126536i | \(0.959614\pi\) | |||||||
\(270\) | 1.41111e6 | + | 513602.i | 1.17802 | + | 0.428763i | ||||
\(271\) | −1.06796e6 | + | 388705.i | −0.883347 | + | 0.321512i | −0.743560 | − | 0.668670i | \(-0.766864\pi\) |
−0.139787 | + | 0.990182i | \(0.544642\pi\) | |||||||
\(272\) | −156315. | + | 131164.i | −0.128109 | + | 0.107496i | ||||
\(273\) | −611555. | − | 1.05924e6i | −0.496625 | − | 0.860180i | ||||
\(274\) | 139244. | − | 241178.i | 0.112047 | − | 0.194072i | ||||
\(275\) | 360400. | + | 2.04393e6i | 0.287378 | + | 1.62980i | ||||
\(276\) | −34412.7 | − | 195164.i | −0.0271923 | − | 0.154215i | ||||
\(277\) | −324224. | + | 561573.i | −0.253890 | + | 0.439751i | −0.964593 | − | 0.263741i | \(-0.915044\pi\) |
0.710703 | + | 0.703492i | \(0.248377\pi\) | |||||||
\(278\) | −738958. | − | 1.27991e6i | −0.573466 | − | 0.993273i | ||||
\(279\) | −686415. | + | 575971.i | −0.527930 | + | 0.442986i | ||||
\(280\) | −1.33411e6 | + | 485576.i | −1.01694 | + | 0.370137i | ||||
\(281\) | 471559. | + | 171633.i | 0.356262 | + | 0.129669i | 0.513950 | − | 0.857820i | \(-0.328182\pi\) |
−0.157688 | + | 0.987489i | \(0.550404\pi\) | |||||||
\(282\) | −675438. | − | 566760.i | −0.505781 | − | 0.424401i | ||||
\(283\) | 237745. | − | 1.34832e6i | 0.176460 | − | 1.00075i | −0.759986 | − | 0.649940i | \(-0.774794\pi\) |
0.936445 | − | 0.350813i | \(-0.114095\pi\) | |||||||
\(284\) | −499203. | −0.367266 | ||||||||
\(285\) | 1.26557e6 | − | 918405.i | 0.922938 | − | 0.669764i | ||||
\(286\) | 700513. | 0.506408 | ||||||||
\(287\) | −648418. | + | 3.67736e6i | −0.464676 | + | 2.63531i | ||||
\(288\) | −105732. | − | 88719.5i | −0.0751146 | − | 0.0630286i | ||||
\(289\) | 737194. | + | 268317.i | 0.519203 | + | 0.188975i | ||||
\(290\) | 152734. | − | 55590.6i | 0.106645 | − | 0.0388156i | ||||
\(291\) | 772929. | − | 648565.i | 0.535066 | − | 0.448974i | ||||
\(292\) | −15938.3 | − | 27605.9i | −0.0109392 | − | 0.0189472i | ||||
\(293\) | 342358. | − | 592981.i | 0.232976 | − | 0.403526i | −0.725707 | − | 0.688004i | \(-0.758487\pi\) |
0.958683 | + | 0.284478i | \(0.0918203\pi\) | |||||||
\(294\) | 268199. | + | 1.52103e6i | 0.180963 | + | 1.02629i | ||||
\(295\) | 155037. | + | 879261.i | 0.103725 | + | 0.588251i | ||||
\(296\) | 251232. | − | 435146.i | 0.166665 | − | 0.288673i | ||||
\(297\) | 679643. | + | 1.17718e6i | 0.447084 | + | 0.774373i | ||||
\(298\) | 33232.5 | − | 27885.4i | 0.0216782 | − | 0.0181901i | ||||
\(299\) | 566510. | − | 206193.i | 0.366462 | − | 0.133381i | ||||
\(300\) | −938496. | − | 341585.i | −0.602046 | − | 0.219127i | ||||
\(301\) | 2.29875e6 | + | 1.92888e6i | 1.46243 | + | 1.22713i | ||||
\(302\) | 23333.7 | − | 132332.i | 0.0147220 | − | 0.0834925i | ||||
\(303\) | −1.76940e6 | −1.10718 | ||||||||
\(304\) | −387289. | + | 110819.i | −0.240354 | + | 0.0687747i | ||||
\(305\) | −794883. | −0.489276 | ||||||||
\(306\) | 74625.8 | − | 423224.i | 0.0455602 | − | 0.258384i | ||||
\(307\) | −1.09761e6 | − | 921003.i | −0.664663 | − | 0.557718i | 0.246818 | − | 0.969062i | \(-0.420615\pi\) |
−0.911480 | + | 0.411344i | \(0.865060\pi\) | |||||||
\(308\) | −1.20761e6 | − | 439535.i | −0.725355 | − | 0.264008i | ||||
\(309\) | 709391. | − | 258197.i | 0.422659 | − | 0.153835i | ||||
\(310\) | 1.94592e6 | − | 1.63282e6i | 1.15006 | − | 0.965013i | ||||
\(311\) | 143288. | + | 248182.i | 0.0840058 | + | 0.145502i | 0.904967 | − | 0.425481i | \(-0.139895\pi\) |
−0.820961 | + | 0.570984i | \(0.806562\pi\) | |||||||
\(312\) | −168546. | + | 291930.i | −0.0980239 | + | 0.169782i | ||||
\(313\) | 56655.0 | + | 321306.i | 0.0326871 | + | 0.185378i | 0.996780 | − | 0.0801883i | \(-0.0255522\pi\) |
−0.964093 | + | 0.265566i | \(0.914441\pi\) | |||||||
\(314\) | 397038. | + | 2.25171e6i | 0.227252 | + | 1.28881i | ||||
\(315\) | 1.49502e6 | − | 2.58945e6i | 0.848929 | − | 1.47039i | ||||
\(316\) | 76986.2 | + | 133344.i | 0.0433706 | + | 0.0751200i | ||||
\(317\) | 2.33170e6 | − | 1.95653e6i | 1.30324 | − | 1.09355i | 0.313666 | − | 0.949533i | \(-0.398443\pi\) |
0.989575 | − | 0.144016i | \(-0.0460018\pi\) | |||||||
\(318\) | 1.13750e6 | − | 414018.i | 0.630791 | − | 0.229589i | ||||
\(319\) | 138252. | + | 50319.6i | 0.0760667 | + | 0.0276860i | ||||
\(320\) | 299739. | + | 251511.i | 0.163632 | + | 0.137303i | ||||
\(321\) | −122872. | + | 696842.i | −0.0665565 | + | 0.377461i | ||||
\(322\) | −1.10598e6 | −0.594440 | ||||||||
\(323\) | −901758. | − | 871794.i | −0.480932 | − | 0.464951i | ||||
\(324\) | −130042. | −0.0688211 | ||||||||
\(325\) | 527583. | − | 2.99207e6i | 0.277065 | − | 1.57132i | ||||
\(326\) | 1.35148e6 | + | 1.13402e6i | 0.704311 | + | 0.590987i | ||||
\(327\) | 189468. | + | 68960.6i | 0.0979864 | + | 0.0356641i | ||||
\(328\) | 967061. | − | 351981.i | 0.496329 | − | 0.180649i | ||||
\(329\) | −3.76951e6 | + | 3.16300e6i | −1.91997 | + | 1.61105i | ||||
\(330\) | −687419. | − | 1.19064e6i | −0.347485 | − | 0.601862i | ||||
\(331\) | 1.13151e6 | − | 1.95983e6i | 0.567660 | − | 0.983216i | −0.429137 | − | 0.903239i | \(-0.641182\pi\) |
0.996797 | − | 0.0799763i | \(-0.0254845\pi\) | |||||||
\(332\) | −94963.2 | − | 538563.i | −0.0472836 | − | 0.268158i | ||||
\(333\) | 183758. | + | 1.04214e6i | 0.0908104 | + | 0.515012i | ||||
\(334\) | 64613.5 | − | 111914.i | 0.0316926 | − | 0.0548931i | ||||
\(335\) | 685270. | + | 1.18692e6i | 0.333618 | + | 0.577844i | ||||
\(336\) | 473727. | − | 397504.i | 0.228918 | − | 0.192085i | ||||
\(337\) | −2.19900e6 | + | 800372.i | −1.05475 | + | 0.383899i | −0.810455 | − | 0.585801i | \(-0.800780\pi\) |
−0.244299 | + | 0.969700i | \(0.578558\pi\) | |||||||
\(338\) | 431981. | + | 157228.i | 0.205671 | + | 0.0748581i | ||||
\(339\) | −1.02207e6 | − | 857619.i | −0.483038 | − | 0.405317i | ||||
\(340\) | −211556. | + | 1.19980e6i | −0.0992496 | + | 0.562872i | ||||
\(341\) | 2.29936e6 | 1.07083 | ||||||||
\(342\) | 474808. | − | 703082.i | 0.219509 | − | 0.325043i | ||||
\(343\) | 4.71670e6 | 2.16472 | ||||||||
\(344\) | 143612. | − | 814466.i | 0.0654328 | − | 0.371088i | ||||
\(345\) | −906381. | − | 760544.i | −0.409980 | − | 0.344014i | ||||
\(346\) | 526632. | + | 191678.i | 0.236492 | + | 0.0860761i | ||||
\(347\) | 1.51782e6 | − | 552440.i | 0.676699 | − | 0.246298i | 0.0192697 | − | 0.999814i | \(-0.493866\pi\) |
0.657430 | + | 0.753516i | \(0.271644\pi\) | |||||||
\(348\) | −54234.0 | + | 45507.7i | −0.0240062 | + | 0.0201436i | ||||
\(349\) | −24939.1 | − | 43195.8i | −0.0109602 | − | 0.0189836i | 0.860493 | − | 0.509462i | \(-0.170155\pi\) |
−0.871453 | + | 0.490478i | \(0.836822\pi\) | |||||||
\(350\) | −2.78687e6 | + | 4.82700e6i | −1.21604 | + | 2.10624i | ||||
\(351\) | −345531. | − | 1.95960e6i | −0.149699 | − | 0.848986i | ||||
\(352\) | 61502.8 | + | 348800.i | 0.0264569 | + | 0.150044i | ||||
\(353\) | −1.73342e6 | + | 3.00236e6i | −0.740399 | + | 1.28241i | 0.211914 | + | 0.977288i | \(0.432030\pi\) |
−0.952314 | + | 0.305121i | \(0.901303\pi\) | |||||||
\(354\) | −194449. | − | 336795.i | −0.0824701 | − | 0.142842i | ||||
\(355\) | −2.28318e6 | + | 1.91581e6i | −0.961544 | + | 0.806831i | ||||
\(356\) | 1.67374e6 | − | 609190.i | 0.699942 | − | 0.254758i | ||||
\(357\) | 1.80937e6 | + | 658556.i | 0.751375 | + | 0.273478i | ||||
\(358\) | 628423. | + | 527309.i | 0.259146 | + | 0.217449i | ||||
\(359\) | 517447. | − | 2.93459e6i | 0.211899 | − | 1.20174i | −0.674307 | − | 0.738451i | \(-0.735558\pi\) |
0.886207 | − | 0.463290i | \(-0.153331\pi\) | |||||||
\(360\) | −824063. | −0.335123 | ||||||||
\(361\) | −924990. | − | 2.29684e6i | −0.373568 | − | 0.927603i | ||||
\(362\) | −2.38726e6 | −0.957478 | ||||||||
\(363\) | −74816.9 | + | 424308.i | −0.0298012 | + | 0.169011i | ||||
\(364\) | 1.44113e6 | + | 1.20925e6i | 0.570097 | + | 0.478368i | ||||
\(365\) | −178840. | − | 65092.6i | −0.0702641 | − | 0.0255740i | ||||
\(366\) | 325355. | − | 118420.i | 0.126956 | − | 0.0462084i | ||||
\(367\) | 1.71469e6 | − | 1.43880e6i | 0.664540 | − | 0.557615i | −0.246904 | − | 0.969040i | \(-0.579413\pi\) |
0.911444 | + | 0.411425i | \(0.134969\pi\) | |||||||
\(368\) | 152405. | + | 263974.i | 0.0586653 | + | 0.101611i | ||||
\(369\) | −1.08370e6 | + | 1.87703e6i | −0.414328 | + | 0.717637i | ||||
\(370\) | −520935. | − | 2.95437e6i | −0.197824 | − | 1.12192i | ||||
\(371\) | −1.17311e6 | − | 6.65301e6i | −0.442489 | − | 2.50948i | ||||
\(372\) | −553234. | + | 958229.i | −0.207277 | + | 0.359014i | ||||
\(373\) | −556669. | − | 964179.i | −0.207169 | − | 0.358827i | 0.743653 | − | 0.668566i | \(-0.233092\pi\) |
−0.950822 | + | 0.309739i | \(0.899758\pi\) | |||||||
\(374\) | −844784. | + | 708858.i | −0.312296 | + | 0.262048i | ||||
\(375\) | −2.68516e6 | + | 977317.i | −0.986033 | + | 0.358887i | ||||
\(376\) | 1.27438e6 | + | 463837.i | 0.464869 | + | 0.169198i | ||||
\(377\) | −164985. | − | 138439.i | −0.0597850 | − | 0.0501655i | ||||
\(378\) | −633889. | + | 3.59496e6i | −0.228183 | + | 1.29409i | ||||
\(379\) | 3.21599e6 | 1.15005 | 0.575026 | − | 0.818135i | \(-0.304992\pi\) | ||||
0.575026 | + | 0.818135i | \(0.304992\pi\) | |||||||
\(380\) | −1.34603e6 | + | 1.99316e6i | −0.478185 | + | 0.708083i | ||||
\(381\) | 987467. | 0.348506 | ||||||||
\(382\) | 259933. | − | 1.47415e6i | 0.0911388 | − | 0.516874i | ||||
\(383\) | 376741. | + | 316123.i | 0.131234 | + | 0.110118i | 0.706042 | − | 0.708170i | \(-0.250479\pi\) |
−0.574808 | + | 0.818288i | \(0.694923\pi\) | |||||||
\(384\) | −160156. | − | 58292.0i | −0.0554262 | − | 0.0201735i | ||||
\(385\) | −7.21002e6 | + | 2.62423e6i | −2.47905 | + | 0.902300i | ||||
\(386\) | 567149. | − | 475894.i | 0.193744 | − | 0.162571i | ||||
\(387\) | 870890. | + | 1.50843e6i | 0.295587 | + | 0.511972i | ||||
\(388\) | −775958. | + | 1.34400e6i | −0.261673 | + | 0.453231i | ||||
\(389\) | −364860. | − | 2.06922e6i | −0.122251 | − | 0.693319i | −0.982903 | − | 0.184125i | \(-0.941055\pi\) |
0.860652 | − | 0.509194i | \(-0.170056\pi\) | |||||||
\(390\) | 349484. | + | 1.98202e6i | 0.116350 | + | 0.659853i | ||||
\(391\) | −474534. | + | 821917.i | −0.156973 | + | 0.271886i | ||||
\(392\) | −1.18779e6 | − | 2.05731e6i | −0.390413 | − | 0.676216i | ||||
\(393\) | 2.11519e6 | − | 1.77486e6i | 0.690826 | − | 0.579672i | ||||
\(394\) | −562009. | + | 204555.i | −0.182391 | + | 0.0663848i | ||||
\(395\) | 863848. | + | 314415.i | 0.278577 | + | 0.101394i | ||||
\(396\) | −571414. | − | 479473.i | −0.183110 | − | 0.153648i | ||||
\(397\) | −915286. | + | 5.19085e6i | −0.291461 | + | 1.65296i | 0.389786 | + | 0.920905i | \(0.372549\pi\) |
−0.681247 | + | 0.732053i | \(0.738562\pi\) | |||||||
\(398\) | −1.22369e6 | −0.387225 | ||||||||
\(399\) | 2.73286e6 | + | 2.64205e6i | 0.859380 | + | 0.830824i | ||||
\(400\) | 1.53614e6 | 0.480042 | ||||||||
\(401\) | −716197. | + | 4.06176e6i | −0.222419 | + | 1.26140i | 0.645140 | + | 0.764065i | \(0.276799\pi\) |
−0.867558 | + | 0.497335i | \(0.834312\pi\) | |||||||
\(402\) | −457314. | − | 383732.i | −0.141140 | − | 0.118430i | ||||
\(403\) | −3.16299e6 | − | 1.15123e6i | −0.970142 | − | 0.353103i | ||||
\(404\) | 2.55738e6 | − | 930809.i | 0.779545 | − | 0.283731i | ||||
\(405\) | −594767. | + | 499069.i | −0.180181 | + | 0.151190i | ||||
\(406\) | 197555. | + | 342175.i | 0.0594802 | + | 0.103023i | ||||
\(407\) | 1.35775e6 | − | 2.35169e6i | 0.406287 | − | 0.703710i | ||||
\(408\) | −92149.8 | − | 522608.i | −0.0274059 | − | 0.155427i | ||||
\(409\) | −818265. | − | 4.64061e6i | −0.241872 | − | 1.37172i | −0.827646 | − | 0.561250i | \(-0.810321\pi\) |
0.585774 | − | 0.810474i | \(-0.300790\pi\) | |||||||
\(410\) | 3.07218e6 | − | 5.32118e6i | 0.902584 | − | 1.56332i | ||||
\(411\) | 362122. | + | 627214.i | 0.105743 | + | 0.183152i | ||||
\(412\) | −889481. | + | 746363.i | −0.258163 | + | 0.216624i | ||||
\(413\) | −2.03948e6 | + | 742311.i | −0.588363 | + | 0.214146i | ||||
\(414\) | −603237. | − | 219560.i | −0.172977 | − | 0.0629583i | ||||
\(415\) | −2.50120e6 | − | 2.09875e6i | −0.712899 | − | 0.598193i | ||||
\(416\) | 90032.9 | − | 510602.i | 0.0255075 | − | 0.144660i | ||||
\(417\) | 3.84350e6 | 1.08240 | ||||||||
\(418\) | −2.09305e6 | + | 598905.i | −0.585922 | + | 0.167655i | ||||
\(419\) | −3.47084e6 | −0.965827 | −0.482914 | − | 0.875668i | \(-0.660422\pi\) | ||||
−0.482914 | + | 0.875668i | \(0.660422\pi\) | |||||||
\(420\) | 641141. | − | 3.63609e6i | 0.177350 | − | 1.00580i | ||||
\(421\) | −913302. | − | 766352.i | −0.251136 | − | 0.210728i | 0.508525 | − | 0.861047i | \(-0.330191\pi\) |
−0.759661 | + | 0.650319i | \(0.774635\pi\) | |||||||
\(422\) | −3.04362e6 | − | 1.10779e6i | −0.831972 | − | 0.302813i | ||||
\(423\) | −2.68393e6 | + | 976872.i | −0.729324 | + | 0.265452i | ||||
\(424\) | −1.42628e6 | + | 1.19679e6i | −0.385291 | + | 0.323298i | ||||
\(425\) | 2.39148e6 | + | 4.14216e6i | 0.642235 | + | 1.11238i | ||||
\(426\) | 649119. | − | 1.12431e6i | 0.173301 | − | 0.300166i | ||||
\(427\) | −335538. | − | 1.90293e6i | −0.0890578 | − | 0.505072i | ||||
\(428\) | −188989. | − | 1.07181e6i | −0.0498685 | − | 0.282818i | ||||
\(429\) | −910885. | + | 1.57770e6i | −0.238957 | + | 0.413886i | ||||
\(430\) | −2.46888e6 | − | 4.27623e6i | −0.643916 | − | 1.11530i | ||||
\(431\) | −520370. | + | 436642.i | −0.134933 | + | 0.113222i | −0.707756 | − | 0.706457i | \(-0.750293\pi\) |
0.572823 | + | 0.819679i | \(0.305848\pi\) | |||||||
\(432\) | 945391. | − | 344094.i | 0.243726 | − | 0.0887091i | ||||
\(433\) | 6.71147e6 | + | 2.44277e6i | 1.72027 | + | 0.626129i | 0.997863 | − | 0.0653358i | \(-0.0208118\pi\) |
0.722411 | + | 0.691464i | \(0.243034\pi\) | |||||||
\(434\) | 4.73034e6 | + | 3.96922e6i | 1.20550 | + | 1.01154i | ||||
\(435\) | −73400.2 | + | 416273.i | −0.0185983 | + | 0.105476i | ||||
\(436\) | −310121. | −0.0781296 | ||||||||
\(437\) | −1.51638e6 | + | 1.10042e6i | −0.379844 | + | 0.275648i | ||||
\(438\) | 82898.8 | 0.0206473 | ||||||||
\(439\) | 280663. | − | 1.59172e6i | 0.0695063 | − | 0.394190i | −0.930130 | − | 0.367230i | \(-0.880306\pi\) |
0.999637 | − | 0.0269599i | \(-0.00858263\pi\) | |||||||
\(440\) | 1.61990e6 | + | 1.35926e6i | 0.398893 | + | 0.334711i | ||||
\(441\) | 4.70140e6 | + | 1.71117e6i | 1.15115 | + | 0.418983i | ||||
\(442\) | 1.51699e6 | − | 552140.i | 0.369341 | − | 0.134429i | ||||
\(443\) | −2.41906e6 | + | 2.02983e6i | −0.585649 | + | 0.491418i | −0.886797 | − | 0.462160i | \(-0.847075\pi\) |
0.301148 | + | 0.953578i | \(0.402630\pi\) | |||||||
\(444\) | 653359. | + | 1.13165e6i | 0.157288 | + | 0.272430i | ||||
\(445\) | 5.31717e6 | − | 9.20960e6i | 1.27286 | − | 2.20466i | ||||
\(446\) | 440781. | + | 2.49979e6i | 0.104927 | + | 0.595069i | ||||
\(447\) | 19591.0 | + | 111106.i | 0.00463755 | + | 0.0263008i | ||||
\(448\) | −475584. | + | 823735.i | −0.111952 | + | 0.193907i | ||||
\(449\) | −739753. | − | 1.28129e6i | −0.173169 | − | 0.299938i | 0.766357 | − | 0.642415i | \(-0.222067\pi\) |
−0.939526 | + | 0.342477i | \(0.888734\pi\) | |||||||
\(450\) | −2.47831e6 | + | 2.07955e6i | −0.576931 | + | 0.484103i | ||||
\(451\) | 5.22636e6 | − | 1.90224e6i | 1.20992 | − | 0.440376i | ||||
\(452\) | 1.92839e6 | + | 701877.i | 0.443966 | + | 0.161590i | ||||
\(453\) | 267698. | + | 224625.i | 0.0612914 | + | 0.0514296i | ||||
\(454\) | −65194.3 | + | 369735.i | −0.0148446 | + | 0.0841882i | ||||
\(455\) | 1.12320e7 | 2.54348 | ||||||||
\(456\) | 254010. | − | 1.01635e6i | 0.0572057 | − | 0.228893i | ||||
\(457\) | −5.30763e6 | −1.18880 | −0.594402 | − | 0.804168i | \(-0.702611\pi\) | ||||
−0.594402 | + | 0.804168i | \(0.702611\pi\) | |||||||
\(458\) | 122377. | − | 694033.i | 0.0272606 | − | 0.154602i | ||||
\(459\) | 2.39964e6 | + | 2.01354e6i | 0.531637 | + | 0.446096i | ||||
\(460\) | 1.71011e6 | + | 622431.i | 0.376817 | + | 0.137150i | ||||
\(461\) | 1.45455e6 | − | 529412.i | 0.318769 | − | 0.116022i | −0.177680 | − | 0.984088i | \(-0.556859\pi\) |
0.496449 | + | 0.868066i | \(0.334637\pi\) | |||||||
\(462\) | 2.56020e6 | − | 2.14826e6i | 0.558044 | − | 0.468254i | ||||
\(463\) | −3.66099e6 | − | 6.34102e6i | −0.793682 | − | 1.37470i | −0.923673 | − | 0.383182i | \(-0.874828\pi\) |
0.129991 | − | 0.991515i | \(-0.458505\pi\) | |||||||
\(464\) | 54446.5 | − | 94304.2i | 0.0117402 | − | 0.0203346i | ||||
\(465\) | 1.14714e6 | + | 6.50577e6i | 0.246028 | + | 1.39530i | ||||
\(466\) | −157089. | − | 890898.i | −0.0335106 | − | 0.190048i | ||||
\(467\) | −3.45787e6 | + | 5.98920e6i | −0.733696 | + | 1.27080i | 0.221597 | + | 0.975138i | \(0.428873\pi\) |
−0.955293 | + | 0.295661i | \(0.904460\pi\) | |||||||
\(468\) | 545975. | + | 945656.i | 0.115228 | + | 0.199581i | ||||
\(469\) | −2.55219e6 | + | 2.14155e6i | −0.535774 | + | 0.449568i | ||||
\(470\) | 7.60867e6 | − | 2.76933e6i | 1.58878 | − | 0.578269i | ||||
\(471\) | −5.58759e6 | − | 2.03372e6i | −1.16057 | − | 0.422414i | ||||
\(472\) | 458217. | + | 384490.i | 0.0946709 | + | 0.0794383i | ||||
\(473\) | 776134. | − | 4.40168e6i | 0.159509 | − | 0.904618i | ||||
\(474\) | −400424. | −0.0818605 | ||||||||
\(475\) | 981719. | + | 9.39103e6i | 0.199643 | + | 1.90976i | ||||
\(476\) | −2.96158e6 | −0.599110 | ||||||||
\(477\) | 680914. | − | 3.86165e6i | 0.137024 | − | 0.777101i | ||||
\(478\) | −1.05407e6 | − | 884467.i | −0.211008 | − | 0.177056i | ||||
\(479\) | −3.03208e6 | − | 1.10359e6i | −0.603812 | − | 0.219769i | 0.0219817 | − | 0.999758i | \(-0.493002\pi\) |
−0.625793 | + | 0.779989i | \(0.715225\pi\) | |||||||
\(480\) | −956208. | + | 348031.i | −0.189430 | + | 0.0689469i | ||||
\(481\) | −3.04515e6 | + | 2.55519e6i | −0.600132 | + | 0.503570i | ||||
\(482\) | −3.17372e6 | − | 5.49704e6i | −0.622230 | − | 1.07773i | ||||
\(483\) | 1.43812e6 | − | 2.49090e6i | 0.280496 | − | 0.485834i | ||||
\(484\) | −115075. | − | 652625.i | −0.0223290 | − | 0.126634i | ||||
\(485\) | 1.60897e6 | + | 9.12491e6i | 0.310594 | + | 1.76147i | ||||
\(486\) | −1.74085e6 | + | 3.01525e6i | −0.334327 | + | 0.579072i | ||||
\(487\) | 2.32496e6 | + | 4.02695e6i | 0.444215 | + | 0.769403i | 0.997997 | − | 0.0632585i | \(-0.0201493\pi\) |
−0.553782 | + | 0.832662i | \(0.686816\pi\) | |||||||
\(488\) | −407951. | + | 342312.i | −0.0775459 | + | 0.0650687i | ||||
\(489\) | −4.31139e6 | + | 1.56922e6i | −0.815353 | + | 0.296764i | ||||
\(490\) | −1.33280e7 | − | 4.85099e6i | −2.50769 | − | 0.912726i | ||||
\(491\) | 6.31047e6 | + | 5.29511e6i | 1.18129 | + | 0.991223i | 0.999970 | + | 0.00779921i | \(0.00248259\pi\) |
0.181324 | + | 0.983423i | \(0.441962\pi\) | |||||||
\(492\) | −464746. | + | 2.63571e6i | −0.0865572 | + | 0.490890i | ||||
\(493\) | 339053. | 0.0628275 | ||||||||
\(494\) | 3.17906e6 | + | 224091.i | 0.586113 | + | 0.0413149i | ||||
\(495\) | −4.45354e6 | −0.816945 | ||||||||
\(496\) | 295523. | − | 1.67599e6i | 0.0539370 | − | 0.305892i | ||||
\(497\) | −5.55019e6 | − | 4.65716e6i | −1.00790 | − | 0.845727i | ||||
\(498\) | 1.33644e6 | + | 486423.i | 0.241477 | + | 0.0878903i | ||||
\(499\) | 3.50496e6 | − | 1.27570e6i | 0.630132 | − | 0.229349i | −0.00715690 | − | 0.999974i | \(-0.502278\pi\) |
0.637289 | + | 0.770625i | \(0.280056\pi\) | |||||||
\(500\) | 3.36682e6 | − | 2.82510e6i | 0.602276 | − | 0.505369i | ||||
\(501\) | 168035. | + | 291046.i | 0.0299093 | + | 0.0518045i | ||||
\(502\) | −1.49194e6 | + | 2.58411e6i | −0.264235 | + | 0.457669i | ||||
\(503\) | −263345. | − | 1.49351e6i | −0.0464094 | − | 0.263201i | 0.952771 | − | 0.303691i | \(-0.0982191\pi\) |
−0.999180 | + | 0.0404905i | \(0.987108\pi\) | |||||||
\(504\) | −347855. | − | 1.97279e6i | −0.0609990 | − | 0.345942i | ||||
\(505\) | 8.12434e6 | − | 1.40718e7i | 1.41762 | − | 2.45539i | ||||
\(506\) | 823655. | + | 1.42661e6i | 0.143011 | + | 0.247702i | ||||
\(507\) | −915820. | + | 768464.i | −0.158230 | + | 0.132771i | ||||
\(508\) | −1.42722e6 | + | 519465.i | −0.245376 | + | 0.0893094i | ||||
\(509\) | −1.05585e7 | − | 3.84299e6i | −1.80638 | − | 0.657468i | −0.997591 | − | 0.0693661i | \(-0.977902\pi\) |
−0.808787 | − | 0.588102i | \(-0.799875\pi\) | |||||||
\(510\) | −2.42710e6 | − | 2.03658e6i | −0.413201 | − | 0.346717i | ||||
\(511\) | 80337.4 | − | 455616.i | 0.0136102 | − | 0.0771875i | ||||
\(512\) | 262144. | 0.0441942 | ||||||||
\(513\) | 2.70778e6 | + | 5.55966e6i | 0.454275 | + | 0.932728i | ||||
\(514\) | 7.70520e6 | 1.28640 | ||||||||
\(515\) | −1.20382e6 | + | 6.82721e6i | −0.200006 | + | 1.13429i | ||||
\(516\) | 1.64760e6 | + | 1.38250e6i | 0.272414 | + | 0.228582i | ||||
\(517\) | 6.88724e6 | + | 2.50675e6i | 1.13323 | + | 0.412462i | ||||
\(518\) | 6.85278e6 | − | 2.49421e6i | 1.12213 | − | 0.408421i | ||||
\(519\) | −1.11648e6 | + | 936842.i | −0.181943 | + | 0.152668i | ||||
\(520\) | −1.54778e6 | − | 2.68084e6i | −0.251016 | − | 0.434773i | ||||
\(521\) | −2.49978e6 | + | 4.32975e6i | −0.403467 | + | 0.698825i | −0.994142 | − | 0.108084i | \(-0.965528\pi\) |
0.590675 | + | 0.806910i | \(0.298862\pi\) | |||||||
\(522\) | 39823.8 | + | 225852.i | 0.00639685 | + | 0.0362783i | ||||
\(523\) | −851854. | − | 4.83111e6i | −0.136179 | − | 0.772311i | −0.974031 | − | 0.226414i | \(-0.927300\pi\) |
0.837852 | − | 0.545897i | \(-0.183811\pi\) | |||||||
\(524\) | −2.12348e6 | + | 3.67798e6i | −0.337847 | + | 0.585169i | ||||
\(525\) | −7.24759e6 | − | 1.25532e7i | −1.14761 | − | 1.98772i | ||||
\(526\) | −2.95577e6 | + | 2.48018e6i | −0.465806 | + | 0.390858i | ||||
\(527\) | 4.97936e6 | − | 1.81234e6i | 0.780993 | − | 0.284258i | ||||
\(528\) | −865542. | − | 315032.i | −0.135115 | − | 0.0491778i | ||||
\(529\) | −3.84451e6 | − | 3.22593e6i | −0.597313 | − | 0.501205i | ||||
\(530\) | −1.93032e6 | + | 1.09474e7i | −0.298497 | + | 1.69286i | ||||
\(531\) | −1.25976e6 | −0.193889 | ||||||||
\(532\) | −5.33977e6 | − | 2.38100e6i | −0.817982 | − | 0.364738i | ||||
\(533\) | −8.14178e6 | −1.24137 | ||||||||
\(534\) | −804357. | + | 4.56174e6i | −0.122066 | + | 0.692272i | ||||
\(535\) | −4.97770e6 | − | 4.17678e6i | −0.751872 | − | 0.630896i | ||||
\(536\) | 862837. | + | 314047.i | 0.129723 | + | 0.0472153i | ||||
\(537\) | −2.00475e6 | + | 729671.i | −0.300003 | + | 0.109192i | ||||
\(538\) | −4.93523e6 | + | 4.14115e6i | −0.735109 | + | 0.616829i | ||||
\(539\) | −6.41926e6 | − | 1.11185e7i | −0.951728 | − | 1.64844i | ||||
\(540\) | 3.00334e6 | − | 5.20194e6i | 0.443221 | − | 0.767681i | ||||
\(541\) | 665698. | + | 3.77536e6i | 0.0977877 | + | 0.554582i | 0.993857 | + | 0.110668i | \(0.0352991\pi\) |
−0.896070 | + | 0.443913i | \(0.853590\pi\) | |||||||
\(542\) | 789403. | + | 4.47693e6i | 0.115425 | + | 0.654609i | ||||
\(543\) | 3.10418e6 | − | 5.37661e6i | 0.451802 | − | 0.782544i | ||||
\(544\) | 408110. | + | 706867.i | 0.0591261 | + | 0.102409i | ||||
\(545\) | −1.41839e6 | + | 1.19017e6i | −0.204552 | + | 0.171639i | ||||
\(546\) | −4.59739e6 | + | 1.67331e6i | −0.659978 | + | 0.240212i | ||||
\(547\) | 5.48073e6 | + | 1.99482e6i | 0.783195 | + | 0.285060i | 0.702504 | − | 0.711680i | \(-0.252065\pi\) |
0.0806905 | + | 0.996739i | \(0.474287\pi\) | |||||||
\(548\) | −853339. | − | 716037.i | −0.121386 | − | 0.101855i | ||||
\(549\) | 194758. | − | 1.10453e6i | 0.0275782 | − | 0.156404i | ||||
\(550\) | 8.30184e6 | 1.17022 | ||||||||
\(551\) | 611317. | + | 272586.i | 0.0857802 | + | 0.0382494i | ||||
\(552\) | −792698. | −0.110729 | ||||||||
\(553\) | −388052. | + | 2.20075e6i | −0.0539606 | + | 0.306026i | ||||
\(554\) | 1.98696e6 | + | 1.66726e6i | 0.275052 | + | 0.230796i | ||||
\(555\) | 7.33123e6 | + | 2.66835e6i | 1.01029 | + | 0.367714i | ||||
\(556\) | −5.55515e6 | + | 2.02191e6i | −0.762094 | + | 0.277380i | ||||
\(557\) | 1.12936e6 | − | 947643.i | 0.154239 | − | 0.129422i | −0.562403 | − | 0.826863i | \(-0.690123\pi\) |
0.716641 | + | 0.697442i | \(0.245678\pi\) | |||||||
\(558\) | 1.79210e6 | + | 3.10401e6i | 0.243656 | + | 0.422025i | ||||
\(559\) | −3.27147e6 | + | 5.66635e6i | −0.442806 | + | 0.766962i | ||||
\(560\) | 986134. | + | 5.59265e6i | 0.132882 | + | 0.753611i | ||||
\(561\) | −498012. | − | 2.82436e6i | −0.0668086 | − | 0.378890i | ||||
\(562\) | 1.00364e6 | − | 1.73836e6i | 0.134041 | − | 0.232167i | ||||
\(563\) | 857509. | + | 1.48525e6i | 0.114016 | + | 0.197482i | 0.917386 | − | 0.397998i | \(-0.130295\pi\) |
−0.803370 | + | 0.595481i | \(0.796962\pi\) | |||||||
\(564\) | −2.70175e6 | + | 2.26704e6i | −0.357641 | + | 0.300097i | ||||
\(565\) | 1.15134e7 | − | 4.19054e6i | 1.51734 | − | 0.552267i | ||||
\(566\) | −5.14621e6 | − | 1.87307e6i | −0.675222 | − | 0.245761i | ||||
\(567\) | −1.44582e6 | − | 1.21319e6i | −0.188868 | − | 0.158479i | ||||
\(568\) | −346743. | + | 1.96647e6i | −0.0450958 | + | 0.255751i | ||||
\(569\) | 1.09443e7 | 1.41712 | 0.708558 | − | 0.705652i | \(-0.249346\pi\) | ||||
0.708558 | + | 0.705652i | \(0.249346\pi\) | |||||||
\(570\) | −2.73876e6 | − | 5.62327e6i | −0.353074 | − | 0.724940i | ||||
\(571\) | −7.80064e6 | −1.00124 | −0.500622 | − | 0.865666i | \(-0.666895\pi\) | ||||
−0.500622 | + | 0.865666i | \(0.666895\pi\) | |||||||
\(572\) | 486571. | − | 2.75948e6i | 0.0621808 | − | 0.352645i | ||||
\(573\) | 2.98210e6 | + | 2.50228e6i | 0.379434 | + | 0.318383i | ||||
\(574\) | 1.40356e7 | + | 5.10854e6i | 1.77808 | + | 0.647168i | ||||
\(575\) | 6.71376e6 | − | 2.44361e6i | 0.846830 | − | 0.308221i | ||||
\(576\) | −422927. | + | 354878.i | −0.0531140 | + | 0.0445680i | ||||
\(577\) | 4.00071e6 | + | 6.92943e6i | 0.500262 | + | 0.866478i | 1.00000 | 0.000302079i | \(9.61547e-5\pi\) | |
−0.499738 | + | 0.866176i | \(0.666571\pi\) | |||||||
\(578\) | 1.56901e6 | − | 2.71761e6i | 0.195347 | − | 0.338351i | ||||
\(579\) | 334342. | + | 1.89615e6i | 0.0414471 | + | 0.235058i | ||||
\(580\) | −112896. | − | 640267.i | −0.0139351 | − | 0.0790298i | ||||
\(581\) | 3.96855e6 | − | 6.87373e6i | 0.487744 | − | 0.844797i | ||||
\(582\) | −2.01797e6 | − | 3.49523e6i | −0.246950 | − | 0.427729i | ||||
\(583\) | −7.70813e6 | + | 6.46789e6i | −0.939242 | + | 0.788118i | ||||
\(584\) | −119817. | + | 43609.6i | −0.0145373 | + | 0.00529115i | ||||
\(585\) | 6.12629e6 | + | 2.22979e6i | 0.740130 | + | 0.269385i | ||||
\(586\) | −2.09809e6 | − | 1.76051e6i | −0.252395 | − | 0.211784i | ||||
\(587\) | −1.33520e6 | + | 7.57230e6i | −0.159938 | + | 0.907053i | 0.794194 | + | 0.607665i | \(0.207894\pi\) |
−0.954131 | + | 0.299388i | \(0.903218\pi\) | |||||||
\(588\) | 6.17799e6 | 0.736892 | ||||||||
\(589\) | 1.04349e7 | + | 735554.i | 1.23937 | + | 0.0873627i | ||||
\(590\) | 3.57130e6 | 0.422373 | ||||||||
\(591\) | 270088. | − | 1.53174e6i | 0.0318080 | − | 0.180392i | ||||
\(592\) | −1.53964e6 | − | 1.29191e6i | −0.180557 | − | 0.151505i | ||||
\(593\) | −3.64006e6 | − | 1.32487e6i | −0.425081 | − | 0.154717i | 0.120616 | − | 0.992699i | \(-0.461513\pi\) |
−0.545697 | + | 0.837982i | \(0.683735\pi\) | |||||||
\(594\) | 5.10924e6 | − | 1.85961e6i | 0.594142 | − | 0.216250i | ||||
\(595\) | −1.35452e7 | + | 1.13658e7i | −1.56854 | + | 1.31616i | ||||
\(596\) | −86763.9 | − | 150280.i | −0.0100052 | − | 0.0173294i | ||||
\(597\) | 1.59118e6 | − | 2.75600e6i | 0.182719 | − | 0.316478i | ||||
\(598\) | −418747. | − | 2.37483e6i | −0.0478849 | − | 0.271569i | ||||
\(599\) | −2.17516e6 | − | 1.23359e7i | −0.247699 | − | 1.40477i | −0.814140 | − | 0.580668i | \(-0.802791\pi\) |
0.566442 | − | 0.824102i | \(-0.308320\pi\) | |||||||
\(600\) | −1.99745e6 | + | 3.45969e6i | −0.226516 | + | 0.392337i | ||||
\(601\) | −146819. | − | 254297.i | −0.0165804 | − | 0.0287181i | 0.857616 | − | 0.514290i | \(-0.171945\pi\) |
−0.874197 | + | 0.485572i | \(0.838611\pi\) | |||||||
\(602\) | 9.19502e6 | − | 7.71554e6i | 1.03410 | − | 0.867711i | ||||
\(603\) | −1.81719e6 | + | 661403.i | −0.203520 | + | 0.0740752i | ||||
\(604\) | −505079. | − | 183834.i | −0.0563335 | − | 0.0205037i | ||||
\(605\) | −3.03092e6 | − | 2.54325e6i | −0.336656 | − | 0.282488i | ||||
\(606\) | −1.22901e6 | + | 6.97008e6i | −0.135949 | + | 0.771003i | ||||
\(607\) | −4.13932e6 | −0.455993 | −0.227996 | − | 0.973662i | \(-0.573217\pi\) | ||||
−0.227996 | + | 0.973662i | \(0.573217\pi\) | |||||||
\(608\) | 167532. | + | 1.60260e6i | 0.0183797 | + | 0.175819i | ||||
\(609\) | −1.02753e6 | −0.112267 | ||||||||
\(610\) | −552120. | + | 3.13123e6i | −0.0600771 | + | 0.340714i | ||||
\(611\) | −8.21900e6 | − | 6.89656e6i | −0.890668 | − | 0.747360i | ||||
\(612\) | −1.61534e6 | − | 587936.i | −0.174335 | − | 0.0634529i | ||||
\(613\) | −5.39286e6 | + | 1.96284e6i | −0.579653 | + | 0.210977i | −0.615173 | − | 0.788392i | \(-0.710914\pi\) |
0.0355193 | + | 0.999369i | \(0.488691\pi\) | |||||||
\(614\) | −4.39043e6 | + | 3.68401e6i | −0.469988 | + | 0.394366i | ||||
\(615\) | 7.98959e6 | + | 1.38384e7i | 0.851798 | + | 1.47536i | ||||
\(616\) | −2.57023e6 | + | 4.45177e6i | −0.272910 | + | 0.472695i | ||||
\(617\) | −2.00863e6 | − | 1.13915e7i | −0.212416 | − | 1.20467i | −0.885335 | − | 0.464954i | \(-0.846071\pi\) |
0.672919 | − | 0.739716i | \(-0.265040\pi\) | |||||||
\(618\) | −524361. | − | 2.97380e6i | −0.0552280 | − | 0.313213i | ||||
\(619\) | 9.23901e6 | − | 1.60024e7i | 0.969167 | − | 1.67865i | 0.271192 | − | 0.962525i | \(-0.412582\pi\) |
0.697976 | − | 0.716122i | \(-0.254084\pi\) | |||||||
\(620\) | −5.08042e6 | − | 8.79955e6i | −0.530788 | − | 0.919351i | ||||
\(621\) | 3.58451e6 | − | 3.00776e6i | 0.372993 | − | 0.312979i | ||||
\(622\) | 1.07717e6 | − | 392059.i | 0.111637 | − | 0.0406327i | ||||
\(623\) | 2.42920e7 | + | 8.84158e6i | 2.50752 | + | 0.912661i | ||||
\(624\) | 1.03291e6 | + | 866714.i | 0.106194 | + | 0.0891075i | ||||
\(625\) | 1.30046e6 | − | 7.37528e6i | 0.133167 | − | 0.755229i | ||||
\(626\) | 1.30505e6 | 0.133104 | ||||||||
\(627\) | 1.37276e6 | − | 5.49275e6i | 0.139453 | − | 0.557983i | ||||
\(628\) | 9.14580e6 | 0.925385 | ||||||||
\(629\) | 1.08668e6 | − | 6.16287e6i | 0.109515 | − | 0.621092i | ||||
\(630\) | −9.16203e6 | − | 7.68785e6i | −0.919687 | − | 0.771709i | ||||
\(631\) | −8.41706e6 | − | 3.06356e6i | −0.841564 | − | 0.306304i | −0.114968 | − | 0.993369i | \(-0.536676\pi\) |
−0.726596 | + | 0.687065i | \(0.758899\pi\) | |||||||
\(632\) | 578747. | − | 210647.i | 0.0576363 | − | 0.0209779i | ||||
\(633\) | 6.45261e6 | − | 5.41439e6i | 0.640068 | − | 0.537081i | ||||
\(634\) | −6.08764e6 | − | 1.05441e7i | −0.601487 | − | 1.04181i | ||||
\(635\) | −4.53403e6 | + | 7.85316e6i | −0.446221 | + | 0.772877i | ||||
\(636\) | −840810. | − | 4.76847e6i | −0.0824242 | − | 0.467451i | ||||
\(637\) | 3.26356e6 | + | 1.85085e7i | 0.318671 | + | 1.80727i | ||||
\(638\) | 294249. | − | 509655.i | 0.0286196 | − | 0.0495706i | ||||
\(639\) | −2.10271e6 | − | 3.64199e6i | −0.203717 | − | 0.352848i | ||||
\(640\) | 1.19896e6 | − | 1.00604e6i | 0.115705 | − | 0.0970882i | ||||
\(641\) | −1.38115e7 | + | 5.02699e6i | −1.32769 | + | 0.483240i | −0.905915 | − | 0.423460i | \(-0.860815\pi\) |
−0.421776 | + | 0.906700i | \(0.638593\pi\) | |||||||
\(642\) | 2.65968e6 | + | 968043.i | 0.254678 | + | 0.0926952i | ||||
\(643\) | 1.19145e7 | + | 9.99745e6i | 1.13644 | + | 0.953590i | 0.999317 | − | 0.0369630i | \(-0.0117684\pi\) |
0.137128 | + | 0.990553i | \(0.456213\pi\) | |||||||
\(644\) | −768206. | + | 4.35671e6i | −0.0729899 | + | 0.413946i | ||||
\(645\) | 1.28413e7 | 1.21537 | ||||||||
\(646\) | −4.06055e6 | + | 2.94669e6i | −0.382828 | + | 0.277813i | ||||
\(647\) | −5.91558e6 | −0.555567 | −0.277784 | − | 0.960644i | \(-0.589600\pi\) | ||||
−0.277784 | + | 0.960644i | \(0.589600\pi\) | |||||||
\(648\) | −90326.3 | + | 512266.i | −0.00845039 | + | 0.0479246i | ||||
\(649\) | 2.47637e6 | + | 2.07793e6i | 0.230783 | + | 0.193650i | ||||
\(650\) | −1.14200e7 | − | 4.15654e6i | −1.06019 | − | 0.385877i | ||||
\(651\) | −1.50904e7 | + | 5.49246e6i | −1.39556 | + | 0.507943i | ||||
\(652\) | 5.40590e6 | − | 4.53609e6i | 0.498023 | − | 0.417891i | ||||
\(653\) | −636886. | − | 1.10312e6i | −0.0584492 | − | 0.101237i | 0.835320 | − | 0.549764i | \(-0.185282\pi\) |
−0.893769 | + | 0.448527i | \(0.851949\pi\) | |||||||
\(654\) | 403255. | − | 698457.i | 0.0368668 | − | 0.0638551i | ||||
\(655\) | 4.40309e6 | + | 2.49712e7i | 0.401010 | + | 2.27424i | ||||
\(656\) | −714823. | − | 4.05396e6i | −0.0648543 | − | 0.367807i | ||||
\(657\) | 134268. | − | 232559.i | 0.0121355 | − | 0.0210194i | ||||
\(658\) | 9.84149e6 | + | 1.70460e7i | 0.886128 | + | 1.53482i | ||||
\(659\) | −5.34741e6 | + | 4.48701e6i | −0.479656 | + | 0.402480i | −0.850302 | − | 0.526295i | \(-0.823581\pi\) |
0.370646 | + | 0.928774i | \(0.379136\pi\) | |||||||
\(660\) | −5.16770e6 | + | 1.88089e6i | −0.461782 | + | 0.168075i | ||||
\(661\) | 9.67765e6 | + | 3.52238e6i | 0.861522 | + | 0.313568i | 0.734729 | − | 0.678361i | \(-0.237309\pi\) |
0.126793 | + | 0.991929i | \(0.459532\pi\) | |||||||
\(662\) | −6.93429e6 | − | 5.81856e6i | −0.614975 | − | 0.516025i | ||||
\(663\) | −729030. | + | 4.13454e6i | −0.0644112 | + | 0.365294i | ||||
\(664\) | −2.18749e6 | −0.192542 | ||||||||
\(665\) | −3.35599e7 | + | 9.60282e6i | −2.94284 | + | 0.842063i | ||||
\(666\) | 4.23288e6 | 0.369786 | ||||||||
\(667\) | 87947.0 | − | 498772.i | 0.00765432 | − | 0.0434098i | ||||
\(668\) | −395975. | − | 332262.i | −0.0343341 | − | 0.0288098i | ||||
\(669\) | −6.20320e6 | − | 2.25778e6i | −0.535859 | − | 0.195037i | ||||
\(670\) | 5.15155e6 | − | 1.87501e6i | 0.443354 | − | 0.161368i | ||||
\(671\) | −2.20472e6 | + | 1.84998e6i | −0.189037 | + | 0.158621i | ||||
\(672\) | −1.23681e6 | − | 2.14222e6i | −0.105653 | − | 0.182996i | ||||
\(673\) | 2.74181e6 | − | 4.74896e6i | 0.233346 | − | 0.404167i | −0.725445 | − | 0.688280i | \(-0.758366\pi\) |
0.958791 | + | 0.284114i | \(0.0916993\pi\) | |||||||
\(674\) | 1.62544e6 | + | 9.21832e6i | 0.137823 | + | 0.781631i | ||||
\(675\) | −4.09492e6 | − | 2.32234e7i | −0.345928 | − | 1.96186i | ||||
\(676\) | 919409. | − | 1.59246e6i | 0.0773823 | − | 0.134030i | ||||
\(677\) | −2.49656e6 | − | 4.32417e6i | −0.209349 | − | 0.362603i | 0.742161 | − | 0.670222i | \(-0.233801\pi\) |
−0.951510 | + | 0.307619i | \(0.900468\pi\) | |||||||
\(678\) | −4.08828e6 | + | 3.43048e6i | −0.341560 | + | 0.286603i | ||||
\(679\) | −2.11656e7 | + | 7.70366e6i | −1.76180 | + | 0.641243i | ||||
\(680\) | 4.57933e6 | + | 1.66674e6i | 0.379778 | + | 0.138228i | ||||
\(681\) | −747947. | − | 627602.i | −0.0618021 | − | 0.0518581i | ||||
\(682\) | 1.59712e6 | − | 9.05769e6i | 0.131485 | − | 0.745687i | ||||
\(683\) | −6.96239e6 | −0.571093 | −0.285546 | − | 0.958365i | \(-0.592175\pi\) | ||||
−0.285546 | + | 0.958365i | \(0.592175\pi\) | |||||||
\(684\) | −2.43980e6 | − | 2.35873e6i | −0.199395 | − | 0.192770i | ||||
\(685\) | −6.65084e6 | −0.541565 | ||||||||
\(686\) | 3.27618e6 | − | 1.85802e7i | 0.265802 | − | 1.50744i | ||||
\(687\) | 1.40398e6 | + | 1.17808e6i | 0.113493 | + | 0.0952317i | ||||
\(688\) | −3.10862e6 | − | 1.13144e6i | −0.250378 | − | 0.0911302i | ||||
\(689\) | 1.38416e7 | − | 5.03794e6i | 1.11081 | − | 0.404301i | ||||
\(690\) | −3.62552e6 | + | 3.04218e6i | −0.289900 | + | 0.243255i | ||||
\(691\) | −4.64760e6 | − | 8.04988e6i | −0.370283 | − | 0.641349i | 0.619326 | − | 0.785134i | \(-0.287406\pi\) |
−0.989609 | + | 0.143785i | \(0.954073\pi\) | |||||||
\(692\) | 1.12086e6 | − | 1.94139e6i | 0.0889787 | − | 0.154116i | ||||
\(693\) | −1.87994e6 | − | 1.06617e7i | −0.148700 | − | 0.843319i | ||||
\(694\) | −1.12193e6 | − | 6.36275e6i | −0.0884230 | − | 0.501472i | ||||
\(695\) | −1.76477e7 | + | 3.05668e7i | −1.38588 | + | 2.40042i | ||||
\(696\) | 141595. | + | 245250.i | 0.0110796 | + | 0.0191905i | ||||
\(697\) | 9.81859e6 | − | 8.23877e6i | 0.765538 | − | 0.642363i | ||||
\(698\) | −187481. | + | 68237.4i | −0.0145652 | + | 0.00530132i | ||||
\(699\) | 2.21075e6 | + | 804647.i | 0.171138 | + | 0.0622892i | ||||
\(700\) | 1.70789e7 | + | 1.43309e7i | 1.31739 | + | 1.10542i | ||||
\(701\) | −1.33748e6 | + | 7.58521e6i | −0.102800 | + | 0.583005i | 0.889277 | + | 0.457369i | \(0.151208\pi\) |
−0.992076 | + | 0.125636i | \(0.959903\pi\) | |||||||
\(702\) | −7.95933e6 | −0.609585 | ||||||||
\(703\) | 6.91402e6 | − | 1.02381e7i | 0.527645 | − | 0.781322i | ||||
\(704\) | 1.41672e6 | 0.107734 | ||||||||
\(705\) | −3.65654e6 | + | 2.07373e7i | −0.277075 | + | 1.57137i | ||||
\(706\) | 1.06230e7 | + | 8.91375e6i | 0.802112 | + | 0.673052i | ||||
\(707\) | 3.71169e7 | + | 1.35094e7i | 2.79269 | + | 1.01646i | ||||
\(708\) | −1.46178e6 | + | 532043.i | −0.109597 | + | 0.0398899i | ||||
\(709\) | 393148. | − | 329890.i | 0.0293724 | − | 0.0246464i | −0.627983 | − | 0.778227i | \(-0.716119\pi\) |
0.657356 | + | 0.753580i | \(0.271675\pi\) | |||||||
\(710\) | 5.96096e6 | + | 1.03247e7i | 0.443782 | + | 0.768654i | ||||
\(711\) | −648551. | + | 1.12332e6i | −0.0481139 | + | 0.0833357i | ||||
\(712\) | −1.23718e6 | − | 7.01637e6i | −0.0914601 | − | 0.518696i | ||||
\(713\) | −1.37449e6 | − | 7.79512e6i | −0.101255 | − | 0.574248i | ||||
\(714\) | 3.85098e6 | − | 6.67009e6i | 0.282700 | − | 0.489651i | ||||
\(715\) | −8.36479e6 | − | 1.44882e7i | −0.611913 | − | 1.05986i | ||||
\(716\) | 2.51369e6 | − | 2.10924e6i | 0.183244 | − | 0.153760i | ||||
\(717\) | 3.36262e6 | − | 1.22389e6i | 0.244275 | − | 0.0889089i | ||||
\(718\) | −1.12006e7 | − | 4.07669e6i | −0.810831 | − | 0.295118i | ||||
\(719\) | 2.91565e6 | + | 2.44652e6i | 0.210336 | + | 0.176493i | 0.741869 | − | 0.670545i | \(-0.233940\pi\) |
−0.531533 | + | 0.847037i | \(0.678384\pi\) | |||||||
\(720\) | −572388. | + | 3.24618e6i | −0.0411490 | + | 0.233368i | ||||
\(721\) | −1.68523e7 | −1.20732 | ||||||||
\(722\) | −9.69026e6 | + | 2.04839e6i | −0.691819 | + | 0.146241i | ||||
\(723\) | 1.65073e7 | 1.17444 | ||||||||
\(724\) | −1.65817e6 | + | 9.40398e6i | −0.117567 | + | 0.666753i | ||||
\(725\) | −1.95526e6 | − | 1.64066e6i | −0.138152 | − | 0.115924i | ||||
\(726\) | 1.61948e6 | + | 589442.i | 0.114034 | + | 0.0415049i | ||||
\(727\) | 2.29036e7 | − | 8.33621e6i | 1.60719 | − | 0.584969i | 0.626307 | − | 0.779576i | \(-0.284565\pi\) |
0.980881 | + | 0.194607i | \(0.0623433\pi\) | |||||||
\(728\) | 5.76450e6 | − | 4.83699e6i | 0.403119 | − | 0.338257i | ||||
\(729\) | −5.51481e6 | − | 9.55194e6i | −0.384337 | − | 0.665691i | ||||
\(730\) | −380636. | + | 659281.i | −0.0264364 | + | 0.0457892i | ||||
\(731\) | −1.78862e6 | − | 1.01438e7i | −0.123801 | − | 0.702112i | ||||
\(732\) | −240493. | − | 1.36390e6i | −0.0165892 | − | 0.0940818i | ||||
\(733\) | −2.23280e6 | + | 3.86732e6i | −0.153493 | + | 0.265858i | −0.932509 | − | 0.361146i | \(-0.882386\pi\) |
0.779016 | + | 0.627004i | \(0.215719\pi\) | |||||||
\(734\) | −4.47674e6 | − | 7.75395e6i | −0.306706 | − | 0.531230i | ||||
\(735\) | 2.82560e7 | − | 2.37096e7i | 1.92927 | − | 1.61885i | ||||
\(736\) | 1.14571e6 | − | 417006.i | 0.0779618 | − | 0.0283758i | ||||
\(737\) | 4.66309e6 | + | 1.69723e6i | 0.316231 | + | 0.115099i | ||||
\(738\) | 6.64131e6 | + | 5.57272e6i | 0.448862 | + | 0.376640i | ||||
\(739\) | −354973. | + | 2.01315e6i | −0.0239102 | + | 0.135602i | −0.994426 | − | 0.105435i | \(-0.966376\pi\) |
0.970516 | + | 0.241037i | \(0.0774875\pi\) | |||||||
\(740\) | −1.19998e7 | −0.805553 | ||||||||
\(741\) | −4.63847e6 | + | 6.86851e6i | −0.310334 | + | 0.459533i | ||||
\(742\) | −2.70226e7 | −1.80184 | ||||||||
\(743\) | 3.30782e6 | − | 1.87596e7i | 0.219821 | − | 1.24667i | −0.652520 | − | 0.757771i | \(-0.726288\pi\) |
0.872341 | − | 0.488897i | \(-0.162601\pi\) | |||||||
\(744\) | 3.39041e6 | + | 2.84489e6i | 0.224554 | + | 0.188423i | ||||
\(745\) | −973563. | − | 354348.i | −0.0642648 | − | 0.0233905i | ||||
\(746\) | −4.18478e6 | + | 1.52314e6i | −0.275312 | + | 0.100206i | ||||
\(747\) | 3.52916e6 | − | 2.96131e6i | 0.231403 | − | 0.194170i | ||||
\(748\) | 2.20557e6 | + | 3.82017e6i | 0.144134 | + | 0.249648i | ||||
\(749\) | 7.89792e6 | − | 1.36796e7i | 0.514408 | − | 0.890981i | ||||
\(750\) | 1.98479e6 | + | 1.12563e7i | 0.128843 | + | 0.730705i | ||||
\(751\) | 1.88974e6 | + | 1.07173e7i | 0.122265 | + | 0.693400i | 0.982895 | + | 0.184168i | \(0.0589592\pi\) |
−0.860630 | + | 0.509231i | \(0.829930\pi\) | |||||||
\(752\) | 2.71234e6 | − | 4.69791e6i | 0.174904 | − | 0.302942i | ||||
\(753\) | −3.87996e6 | − | 6.72029e6i | −0.249368 | − | 0.431917i | ||||
\(754\) | −659941. | + | 553756.i | −0.0422743 | + | 0.0354724i | ||||
\(755\) | −3.01556e6 | + | 1.09757e6i | −0.192531 | + | 0.0700756i | ||||
\(756\) | 1.37211e7 | + | 4.99407e6i | 0.873140 | + | 0.317797i | ||||
\(757\) | 1.72203e6 | + | 1.44495e6i | 0.109220 | + | 0.0916462i | 0.695762 | − | 0.718272i | \(-0.255067\pi\) |
−0.586542 | + | 0.809919i | \(0.699511\pi\) | |||||||
\(758\) | 2.23381e6 | − | 1.26685e7i | 0.141212 | − | 0.800854i | ||||
\(759\) | −4.28403e6 | −0.269928 | ||||||||
\(760\) | 6.91659e6 | + | 6.68676e6i | 0.434368 | + | 0.419935i | ||||
\(761\) | 1.37969e7 | 0.863614 | 0.431807 | − | 0.901966i | \(-0.357876\pi\) | ||||
0.431807 | + | 0.901966i | \(0.357876\pi\) | |||||||
\(762\) | 685887. | − | 3.88986e6i | 0.0427923 | − | 0.242687i | ||||
\(763\) | −3.44796e6 | − | 2.89319e6i | −0.214413 | − | 0.179914i | ||||
\(764\) | −5.62649e6 | − | 2.04787e6i | −0.348742 | − | 0.126932i | ||||
\(765\) | −9.64436e6 | + | 3.51026e6i | −0.595826 | + | 0.216863i | ||||
\(766\) | 1.50696e6 | − | 1.26449e6i | 0.0927963 | − | 0.0778653i | ||||
\(767\) | −2.36613e6 | − | 4.09826e6i | −0.145228 | − | 0.251542i | ||||
\(768\) | −340869. | + | 590402.i | −0.0208538 | + | 0.0361198i | ||||
\(769\) | 5.48798e6 | + | 3.11239e7i | 0.334654 | + | 1.89792i | 0.430618 | + | 0.902534i | \(0.358296\pi\) |
−0.0959632 | + | 0.995385i | \(0.530593\pi\) | |||||||
\(770\) | 5.32943e6 | + | 3.02247e7i | 0.323932 | + | 1.83711i | ||||
\(771\) | −1.00192e7 | + | 1.73537e7i | −0.607009 | + | 1.05137i | ||||
\(772\) | −1.48072e6 | − | 2.56468e6i | −0.0894190 | − | 0.154878i | ||||
\(773\) | −1.63710e7 | + | 1.37369e7i | −0.985432 | + | 0.826875i | −0.984900 | − | 0.173124i | \(-0.944614\pi\) |
−0.000531857 | 1.00000i | \(0.500169\pi\) | ||||||||
\(774\) | 6.54695e6 | − | 2.38290e6i | 0.392814 | − | 0.142973i | ||||
\(775\) | −3.74849e7 | − | 1.36434e7i | −2.24183 | − | 0.815958i | ||||
\(776\) | 4.75535e6 | + | 3.99021e6i | 0.283484 | + | 0.237871i | ||||
\(777\) | −3.29328e6 | + | 1.86771e7i | −0.195693 | + | 1.10983i | ||||
\(778\) | −8.40458e6 | −0.497814 | ||||||||
\(779\) | 2.43267e7 | − | 6.96083e6i | 1.43628 | − | 0.410977i | ||||
\(780\) | 8.05040e6 | 0.473785 | ||||||||
\(781\) | −1.87392e6 | + | 1.06276e7i | −0.109932 | + | 0.623456i | ||||
\(782\) | 2.90811e6 | + | 2.44020e6i | 0.170057 | + | 0.142695i | ||||
\(783\) | −1.57084e6 | − | 571739.i | −0.0915646 | − | 0.0333268i | ||||
\(784\) | −8.92926e6 | + | 3.24999e6i | −0.518831 | + | 0.188839i | ||||
\(785\) | 4.18297e7 | − | 3.50993e7i | 2.42276 | − | 2.03294i | ||||
\(786\) | −5.52238e6 | − | 9.56504e6i | −0.318838 | − | 0.552243i | ||||
\(787\) | 9.56345e6 | − | 1.65644e7i | 0.550399 | − | 0.953320i | −0.447846 | − | 0.894111i | \(-0.647809\pi\) |
0.998246 | − | 0.0592091i | \(-0.0188579\pi\) | |||||||
\(788\) | 415420. | + | 2.35597e6i | 0.0238326 | + | 0.135162i | ||||
\(789\) | −1.74246e6 | − | 9.88200e6i | −0.0996486 | − | 0.565135i | ||||
\(790\) | 1.83858e6 | − | 3.18451e6i | 0.104813 | − | 0.181541i | ||||
\(791\) | 1.48921e7 | + | 2.57939e7i | 0.846282 | + | 1.46580i | ||||
\(792\) | −2.28565e6 | + | 1.91789e6i | −0.129478 | + | 0.108645i | ||||
\(793\) | 3.95905e6 | − | 1.44098e6i | 0.223567 | − | 0.0813718i | ||||
\(794\) | 1.98122e7 | + | 7.21105e6i | 1.11527 | + | 0.405926i | ||||
\(795\) | −2.21458e7 | − | 1.85825e7i | −1.24272 | − | 1.04276i | ||||
\(796\) | −849966. | + | 4.82040e6i | −0.0475466 | + | 0.269650i | ||||
\(797\) | −8.28296e6 | −0.461891 | −0.230946 | − | 0.972967i | \(-0.574182\pi\) | ||||
−0.230946 | + | 0.972967i | \(0.574182\pi\) | |||||||
\(798\) | 1.23059e7 | − | 8.93022e6i | 0.684078 | − | 0.496426i | ||||
\(799\) | 1.68904e7 | 0.935996 | ||||||||
\(800\) | 1.06699e6 | − | 6.05119e6i | 0.0589433 | − | 0.334284i | ||||
\(801\) | 1.14944e7 | + | 9.64496e6i | 0.633003 | + | 0.531152i | ||||
\(802\) | 1.55027e7 | + | 5.64253e6i | 0.851084 | + | 0.309769i | ||||
\(803\) | −647533. | + | 235683.i | −0.0354383 | + | 0.0128985i | ||||
\(804\) | −1.82925e6 | + | 1.53493e6i | −0.0998008 | + | 0.0837428i | ||||
\(805\) | 1.32065e7 | + | 2.28743e7i | 0.718285 | + | 1.24411i | ||||
\(806\) | −6.73197e6 | + | 1.16601e7i | −0.365010 | + | 0.632215i | ||||
\(807\) | −2.90938e6 | − | 1.64999e7i | −0.157260 | − | 0.891863i | ||||
\(808\) | −1.89034e6 | − | 1.07206e7i | −0.101862 | − | 0.577686i | ||||
\(809\) | 4.45829e6 | − | 7.72198e6i | 0.239495 | − | 0.414818i | −0.721074 | − | 0.692858i | \(-0.756351\pi\) |
0.960570 | + | 0.278040i | \(0.0896847\pi\) | |||||||
\(810\) | 1.55283e6 | + | 2.68958e6i | 0.0831593 | + | 0.144036i | ||||
\(811\) | −1.16553e7 | + | 9.77996e6i | −0.622259 | + | 0.522137i | −0.898513 | − | 0.438947i | \(-0.855351\pi\) |
0.276254 | + | 0.961085i | \(0.410907\pi\) | |||||||
\(812\) | 1.48513e6 | − | 540541.i | 0.0790447 | − | 0.0287699i | ||||
\(813\) | −1.11094e7 | − | 4.04350e6i | −0.589475 | − | 0.214551i | ||||
\(814\) | −8.32077e6 | − | 6.98195e6i | −0.440152 | − | 0.369331i | ||||
\(815\) | 7.31633e6 | − | 4.14930e7i | 0.385833 | − | 2.18817i | ||||
\(816\) | −2.12268e6 | −0.111599 | ||||||||
\(817\) | 4.93032e6 | − | 1.97274e7i | 0.258417 | − | 1.03398i | ||||
\(818\) | −1.88488e7 | −0.984918 | ||||||||
\(819\) | −2.75201e6 | + | 1.56074e7i | −0.143364 | + | 0.813058i | ||||
\(820\) | −1.88274e7 | − | 1.57981e7i | −0.977814 | − | 0.820484i | ||||
\(821\) | −2.10404e7 | − | 7.65807e6i | −1.08942 | − | 0.396517i | −0.266015 | − | 0.963969i | \(-0.585707\pi\) |
−0.823406 | + | 0.567452i | \(0.807929\pi\) | |||||||
\(822\) | 2.72227e6 | − | 990825.i | 0.140524 | − | 0.0511467i | ||||
\(823\) | −1.61287e7 | + | 1.35336e7i | −0.830042 | + | 0.696488i | −0.955301 | − | 0.295636i | \(-0.904468\pi\) |
0.125258 | + | 0.992124i | \(0.460024\pi\) | |||||||
\(824\) | 2.32227e6 | + | 4.02229e6i | 0.119150 | + | 0.206374i | ||||
\(825\) | −1.07950e7 | + | 1.86975e7i | −0.552188 | + | 0.956418i | ||||
\(826\) | 1.50753e6 | + | 8.54960e6i | 0.0768802 | + | 0.436009i | ||||
\(827\) | 3.88156e6 | + | 2.20134e7i | 0.197352 | + | 1.11924i | 0.909029 | + | 0.416733i | \(0.136825\pi\) |
−0.711677 | + | 0.702507i | \(0.752064\pi\) | |||||||
\(828\) | −1.28390e6 | + | 2.22379e6i | −0.0650813 | + | 0.112724i | ||||
\(829\) | 1.52088e7 | + | 2.63424e7i | 0.768613 | + | 1.33128i | 0.938315 | + | 0.345782i | \(0.112386\pi\) |
−0.169702 | + | 0.985495i | \(0.554280\pi\) | |||||||
\(830\) | −1.00048e7 | + | 8.39502e6i | −0.504096 | + | 0.422986i | ||||
\(831\) | −6.33868e6 | + | 2.30709e6i | −0.318417 | + | 0.115894i | ||||
\(832\) | −1.94884e6 | − | 709321.i | −0.0976042 | − | 0.0355250i | ||||
\(833\) | −2.26647e7 | − | 1.90180e7i | −1.13172 | − | 0.949624i | ||||
\(834\) | 2.66967e6 | − | 1.51404e7i | 0.132905 | − | 0.753743i | ||||
\(835\) | −3.08619e6 | −0.153181 | ||||||||
\(836\) | 905405. | + | 8.66102e6i | 0.0448051 | + | 0.428601i | ||||
\(837\) | −2.61256e7 | −1.28900 | ||||||||
\(838\) | −2.41082e6 | + | 1.36724e7i | −0.118592 | + | 0.672568i | ||||
\(839\) | −1.84756e7 | − | 1.55029e7i | −0.906137 | − | 0.760339i | 0.0652431 | − | 0.997869i | \(-0.479218\pi\) |
−0.971380 | + | 0.237530i | \(0.923662\pi\) | |||||||
\(840\) | −1.38781e7 | − | 5.05120e6i | −0.678627 | − | 0.247000i | ||||
\(841\) | 1.91042e7 | − | 6.95334e6i | 0.931403 | − | 0.339003i | ||||
\(842\) | −3.65321e6 | + | 3.06541e6i | −0.177580 | + | 0.149007i | ||||
\(843\) | 2.61010e6 | + | 4.52083e6i | 0.126499 | + | 0.219103i | ||||
\(844\) | −6.47790e6 | + | 1.12201e7i | −0.313024 | + | 0.542174i | ||||
\(845\) | −1.90642e6 | − | 1.08118e7i | −0.0918493 | − | 0.520904i | ||||
\(846\) | 1.98388e6 | + | 1.12512e7i | 0.0952994 | + | 0.540470i | ||||
\(847\) | 4.80905e6 | − | 8.32952e6i | 0.230330 | − | 0.398943i | ||||
\(848\) | 3.72375e6 | + | 6.44972e6i | 0.177824 | + | 0.308000i | ||||
\(849\) | 1.09102e7 | − | 9.15475e6i | 0.519474 | − | 0.435890i | ||||
\(850\) | 1.79780e7 | − | 6.54347e6i | 0.853483 | − | 0.310642i | ||||
\(851\) | −8.78417e6 | − | 3.19718e6i | −0.415793 | − | 0.151336i | ||||
\(852\) | −3.97803e6 | − | 3.33796e6i | −0.187745 | − | 0.157537i | ||||
\(853\) | 2.86665e6 | − | 1.62576e7i | 0.134897 | − | 0.765040i | −0.840034 | − | 0.542534i | \(-0.817465\pi\) |
0.974931 | − | 0.222506i | \(-0.0714237\pi\) | |||||||
\(854\) | −7.72914e6 | −0.362649 | ||||||||
\(855\) | −2.02110e7 | − | 1.42467e6i | −0.945525 | − | 0.0666498i | ||||
\(856\) | −4.35337e6 | −0.203068 | ||||||||
\(857\) | −1.97103e6 | + | 1.11783e7i | −0.0916729 | + | 0.519903i | 0.904043 | + | 0.427441i | \(0.140585\pi\) |
−0.995716 | + | 0.0924619i | \(0.970526\pi\) | |||||||
\(858\) | 5.58222e6 | + | 4.68404e6i | 0.258874 | + | 0.217221i | ||||
\(859\) | −1.88814e7 | − | 6.87228e6i | −0.873075 | − | 0.317773i | −0.133664 | − | 0.991027i | \(-0.542674\pi\) |
−0.739412 | + | 0.673253i | \(0.764896\pi\) | |||||||
\(860\) | −1.85599e7 | + | 6.75526e6i | −0.855717 | + | 0.311456i | ||||
\(861\) | −2.97561e7 | + | 2.49684e7i | −1.36794 | + | 1.14784i | ||||
\(862\) | 1.35859e6 | + | 2.35314e6i | 0.0622759 | + | 0.107865i | ||||
\(863\) | −9.86687e6 | + | 1.70899e7i | −0.450975 | + | 0.781111i | −0.998447 | − | 0.0557126i | \(-0.982257\pi\) |
0.547472 | + | 0.836824i | \(0.315590\pi\) | |||||||
\(864\) | −698805. | − | 3.96312e6i | −0.0318472 | − | 0.180615i | ||||
\(865\) | −2.32413e6 | − | 1.31808e7i | −0.105614 | − | 0.598965i | ||||
\(866\) | 1.42844e7 | − | 2.47413e7i | 0.647242 | − | 1.12106i | ||||
\(867\) | 4.08041e6 | + | 7.06748e6i | 0.184355 | + | 0.319313i | ||||
\(868\) | 1.89213e7 | − | 1.58769e7i | 0.852418 | − | 0.715264i | ||||
\(869\) | 3.12776e6 | − | 1.13841e6i | 0.140502 | − | 0.0511387i | ||||
\(870\) | 1.58881e6 | + | 578280.i | 0.0711663 | + | 0.0259024i | ||||
\(871\) | −5.56478e6 | − | 4.66940e6i | −0.248544 | − | 0.208553i | ||||
\(872\) | −215408. | + | 1.22164e6i | −0.00959336 | + | 0.0544067i | ||||
\(873\) | −1.30737e7 | −0.580583 | ||||||||
\(874\) | 3.28154e6 | + | 6.73772e6i | 0.145311 | + | 0.298356i | ||||
\(875\) | 6.37887e7 | 2.81659 | ||||||||
\(876\) | 57580.9 | − | 326558.i | 0.00253524 | − | 0.0143780i | ||||
\(877\) | 1.41008e7 | + | 1.18320e7i | 0.619078 | + | 0.519468i | 0.897514 | − | 0.440987i | \(-0.145371\pi\) |
−0.278436 | + | 0.960455i | \(0.589816\pi\) | |||||||
\(878\) | −6.07520e6 | − | 2.21119e6i | −0.265965 | − | 0.0968034i | ||||
\(879\) | 6.69319e6 | − | 2.43612e6i | 0.292187 | − | 0.106347i | ||||
\(880\) | 6.47960e6 | − | 5.43703e6i | 0.282060 | − | 0.236676i | ||||
\(881\) | −7.11552e6 | − | 1.23244e7i | −0.308864 | − | 0.534968i | 0.669250 | − | 0.743037i | \(-0.266615\pi\) |
−0.978114 | + | 0.208069i | \(0.933282\pi\) | |||||||
\(882\) | 1.00063e7 | − | 1.73313e7i | 0.433112 | − | 0.750172i | ||||
\(883\) | 1.84436e6 | + | 1.04599e7i | 0.0796056 | + | 0.451466i | 0.998391 | + | 0.0567079i | \(0.0180604\pi\) |
−0.918785 | + | 0.394758i | \(0.870829\pi\) | |||||||
\(884\) | −1.12132e6 | − | 6.35930e6i | −0.0482611 | − | 0.273702i | ||||
\(885\) | −4.64380e6 | + | 8.04330e6i | −0.199304 | + | 0.345204i | ||||
\(886\) | 6.31572e6 | + | 1.09391e7i | 0.270295 | + | 0.468165i | ||||
\(887\) | 3.66970e6 | − | 3.07925e6i | 0.156611 | − | 0.131412i | −0.561115 | − | 0.827738i | \(-0.689628\pi\) |
0.717726 | + | 0.696326i | \(0.245183\pi\) | |||||||
\(888\) | 4.91165e6 | − | 1.78770e6i | 0.209024 | − | 0.0760783i | ||||
\(889\) | −2.07142e7 | − | 7.53934e6i | −0.879050 | − | 0.319948i | ||||
\(890\) | −3.25855e7 | − | 2.73425e7i | −1.37895 | − | 1.15708i | ||||
\(891\) | −488157. | + | 2.76848e6i | −0.0205999 | + | 0.116828i | ||||
\(892\) | 1.01534e7 | 0.427268 | ||||||||
\(893\) | 3.04537e7 | + | 1.35793e7i | 1.27794 | + | 0.569835i | ||||
\(894\) | 451281. | 0.0188844 | ||||||||
\(895\) | 3.40202e6 | − | 1.92938e7i | 0.141964 | − | 0.805120i | ||||
\(896\) | 2.91455e6 | + | 2.44559e6i | 0.121283 | + | 0.101769i | ||||
\(897\) | 5.89311e6 | + | 2.14492e6i | 0.244548 | + | 0.0890081i | ||||
\(898\) | −5.56112e6 | + | 2.02408e6i | −0.230129 | + | 0.0837601i | ||||
\(899\) | −2.16618e6 | + | 1.81764e6i | −0.0893915 | + | 0.0750084i | ||||
\(900\) | 6.47040e6 | + | 1.12071e7i | 0.266272 | + | 0.461196i | ||||
\(901\) | −1.15944e7 | + | 2.00820e7i | −0.475812 | + | 0.824130i | ||||
\(902\) | −3.86317e6 | − | 2.19091e7i | −0.158098 | − | 0.896620i | ||||
\(903\) | 5.42059e6 | + | 3.07417e7i | 0.221221 | + | 1.25461i | ||||
\(904\) | 4.10430e6 | − | 7.10886e6i | 0.167039 | − | 0.289320i | ||||
\(905\) | 2.85062e7 | + | 4.93742e7i | 1.15696 | + | 2.00391i | ||||
\(906\) | 1.07079e6 | − | 898501.i | 0.0433396 | − | 0.0363662i | ||||
\(907\) | 3.63735e7 | − | 1.32389e7i | 1.46814 | − | 0.534358i | 0.520543 | − | 0.853835i | \(-0.325729\pi\) |
0.947594 | + | 0.319477i | \(0.103507\pi\) | |||||||
\(908\) | 1.41119e6 | + | 513631.i | 0.0568029 | + | 0.0206746i | ||||
\(909\) | 1.75628e7 | + | 1.47370e7i | 0.704993 | + | 0.591560i | ||||
\(910\) | 7.80166e6 | − | 4.42454e7i | 0.312308 | − | 1.77119i | ||||
\(911\) | 2.75114e7 | 1.09829 | 0.549146 | − | 0.835727i | \(-0.314953\pi\) | ||||
0.549146 | + | 0.835727i | \(0.314953\pi\) | |||||||
\(912\) | −3.82722e6 | − | 1.70656e6i | −0.152369 | − | 0.0679413i | ||||
\(913\) | −1.18220e7 | −0.469368 | ||||||||
\(914\) | −3.68664e6 | + | 2.09080e7i | −0.145971 | + | 0.827841i | ||||
\(915\) | −6.33424e6 | − | 5.31506e6i | −0.250116 | − | 0.209872i | ||||
\(916\) | −2.64895e6 | − | 964140.i | −0.104312 | − | 0.0379666i | ||||
\(917\) | −5.79217e7 | + | 2.10818e7i | −2.27467 | + | 0.827912i | ||||
\(918\) | 9.59857e6 | − | 8.05416e6i | 0.375924 | − | 0.315438i | ||||
\(919\) | 6.61702e6 | + | 1.14610e7i | 0.258448 | + | 0.447645i | 0.965826 | − | 0.259190i | \(-0.0834555\pi\) |
−0.707378 | + | 0.706835i | \(0.750122\pi\) | |||||||
\(920\) | 3.63973e6 | − | 6.30420e6i | 0.141775 | − | 0.245562i | ||||
\(921\) | −2.58822e6 | − | 1.46785e7i | −0.100543 | − | 0.570208i | ||||
\(922\) | −1.07516e6 | − | 6.09753e6i | −0.0416529 | − | 0.236225i | ||||
\(923\) | 7.89874e6 | − | 1.36810e7i | 0.305178 | − | 0.528584i | ||||
\(924\) | −6.68420e6 | − | 1.15774e7i | −0.257555 | − | 0.446098i | ||||
\(925\) | −3.60884e7 | + | 3.02818e7i | −1.38680 | + | 1.16366i | ||||
\(926\) | −2.75217e7 | + | 1.00171e7i | −1.05474 | + | 0.383895i | ||||
\(927\) | −9.19179e6 | − | 3.34554e6i | −0.351318 | − | 0.127869i | ||||
\(928\) | −333668. | − | 279981.i | −0.0127187 | − | 0.0106723i | ||||
\(929\) | −3.36976e6 | + | 1.91109e7i | −0.128103 | + | 0.726509i | 0.851313 | + | 0.524658i | \(0.175807\pi\) |
−0.979416 | + | 0.201851i | \(0.935304\pi\) | |||||||
\(930\) | 2.64245e7 | 1.00184 | ||||||||
\(931\) | −2.55751e7 | − | 5.25113e7i | −0.967036 | − | 1.98554i | ||||
\(932\) | −3.61857e6 | −0.136457 | ||||||||
\(933\) | −517664. | + | 2.93582e6i | −0.0194690 | + | 0.110414i | ||||
\(934\) | 2.11910e7 | + | 1.77814e7i | 0.794850 | + | 0.666958i | ||||
\(935\) | 2.47484e7 | + | 9.00767e6i | 0.925801 | + | 0.336964i | ||||
\(936\) | 4.10439e6 | − | 1.49388e6i | 0.153129 | − | 0.0557346i | ||||
\(937\) | 3.60598e7 | − | 3.02577e7i | 1.34176 | − | 1.12587i | 0.360587 | − | 0.932726i | \(-0.382577\pi\) |
0.981171 | − | 0.193142i | \(-0.0618679\pi\) | |||||||
\(938\) | 6.66331e6 | + | 1.15412e7i | 0.247276 | + | 0.428295i | ||||
\(939\) | −1.69697e6 | + | 2.93924e6i | −0.0628074 | + | 0.108786i | ||||
\(940\) | −5.62410e6 | − | 3.18959e7i | −0.207603 | − | 1.17738i | ||||
\(941\) | 8.70964e6 | + | 4.93948e7i | 0.320646 | + | 1.81847i | 0.538653 | + | 0.842527i | \(0.318933\pi\) |
−0.218007 | + | 0.975947i | \(0.569956\pi\) | |||||||
\(942\) | −1.18924e7 | + | 2.05982e7i | −0.436658 | + | 0.756314i | ||||
\(943\) | −9.57301e6 | − | 1.65809e7i | −0.350566 | − | 0.607198i | ||||
\(944\) | 1.83287e6 | − | 1.53796e6i | 0.0669424 | − | 0.0561714i | ||||
\(945\) | 8.19214e7 | − | 2.98170e7i | 2.98413 | − | 1.08614i | ||||
\(946\) | −1.68001e7 | − | 6.11474e6i | −0.610358 | − | 0.222152i | ||||
\(947\) | 1.42187e7 | + | 1.19309e7i | 0.515212 | + | 0.432314i | 0.862959 | − | 0.505274i | \(-0.168609\pi\) |
−0.347747 | + | 0.937588i | \(0.613053\pi\) | |||||||
\(948\) | −278132. | + | 1.57736e6i | −0.0100515 | + | 0.0570047i | ||||
\(949\) | 1.00875e6 | 0.0363594 | ||||||||
\(950\) | 3.76753e7 | + | 2.65572e6i | 1.35440 | + | 0.0954715i | ||||
\(951\) | 3.16633e7 | 1.13529 | ||||||||
\(952\) | −2.05709e6 | + | 1.16664e7i | −0.0735634 | + | 0.417199i | ||||
\(953\) | 2.76003e7 | + | 2.31594e7i | 0.984423 | + | 0.826029i | 0.984751 | − | 0.173971i | \(-0.0556600\pi\) |
−0.000328086 | 1.00000i | \(0.500104\pi\) | ||||||||
\(954\) | −1.47390e7 | − | 5.36455e6i | −0.524320 | − | 0.190837i | ||||
\(955\) | −3.35928e7 | + | 1.22268e7i | −1.19189 | + | 0.433814i | ||||
\(956\) | −4.21626e6 | + | 3.53787e6i | −0.149205 | + | 0.125198i | ||||
\(957\) | 765231. | + | 1.32542e6i | 0.0270093 | + | 0.0467814i | ||||
\(958\) | −6.45334e6 | + | 1.11775e7i | −0.227180 | + | 0.393488i | ||||
\(959\) | −2.80747e6 | − | 1.59219e7i | −0.0985754 | − | 0.559049i | ||||
\(960\) | 706800. | + | 4.00846e6i | 0.0247525 | + | 0.140378i | ||||
\(961\) | −7.78236e6 | + | 1.34795e7i | −0.271834 | + | 0.470830i | ||||
\(962\) | 7.95033e6 | + | 1.37704e7i | 0.276980 | + | 0.479743i | ||||
\(963\) | 7.02346e6 | − | 5.89338e6i | 0.244054 | − | 0.204785i | ||||
\(964\) | −2.38586e7 | + | 8.68381e6i | −0.826898 | + | 0.300966i | ||||
\(965\) | −1.66149e7 | − | 6.04733e6i | −0.574354 | − | 0.209048i | ||||
\(966\) | −8.81331e6 | − | 7.39524e6i | −0.303876 | − | 0.254982i | ||||
\(967\) | 2.13457e6 | − | 1.21057e7i | 0.0734081 | − | 0.416318i | −0.925853 | − | 0.377884i | \(-0.876652\pi\) |
0.999261 | − | 0.0384342i | \(-0.0122370\pi\) | |||||||
\(968\) | −2.65077e6 | −0.0909251 | ||||||||
\(969\) | −1.35657e6 | − | 1.29768e7i | −0.0464123 | − | 0.443975i | ||||
\(970\) | 3.70627e7 | 1.26476 | ||||||||
\(971\) | 3.01764e6 | − | 1.71139e7i | 0.102712 | − | 0.582507i | −0.889398 | − | 0.457134i | \(-0.848876\pi\) |
0.992110 | − | 0.125373i | \(-0.0400128\pi\) | |||||||
\(972\) | 1.06686e7 | + | 8.95200e6i | 0.362194 | + | 0.303917i | ||||
\(973\) | −8.06255e7 | − | 2.93453e7i | −2.73017 | − | 0.993702i | ||||
\(974\) | 1.74780e7 | − | 6.36147e6i | 0.590329 | − | 0.214862i | ||||
\(975\) | 2.42109e7 | − | 2.03154e7i | 0.815643 | − | 0.684406i | ||||
\(976\) | 1.06509e6 | + | 1.84478e6i | 0.0357898 | + | 0.0619898i | ||||
\(977\) | 7.70501e6 | − | 1.33455e7i | 0.258248 | − | 0.447299i | −0.707525 | − | 0.706689i | \(-0.750188\pi\) |
0.965773 | + | 0.259390i | \(0.0835215\pi\) | |||||||
\(978\) | 3.18685e6 | + | 1.80735e7i | 0.106541 | + | 0.604221i | ||||
\(979\) | −6.68615e6 | − | 3.79191e7i | −0.222956 | − | 1.26445i | ||||
\(980\) | −2.83667e7 | + | 4.91326e7i | −0.943504 | + | 1.63420i | ||||
\(981\) | −1.30627e6 | − | 2.26253e6i | −0.0433372 | − | 0.0750623i | ||||
\(982\) | 2.52419e7 | − | 2.11804e7i | 0.835300 | − | 0.700900i | ||||
\(983\) | −5.12985e7 | + | 1.86711e7i | −1.69325 | + | 0.616293i | −0.995029 | − | 0.0995895i | \(-0.968247\pi\) |
−0.698221 | + | 0.715882i | \(0.746025\pi\) | |||||||
\(984\) | 1.00598e7 | + | 3.66148e6i | 0.331210 | + | 0.120551i | ||||
\(985\) | 1.09416e7 | + | 9.18108e6i | 0.359327 | + | 0.301511i | ||||
\(986\) | 235504. | − | 1.33561e6i | 0.00771445 | − | 0.0437508i | ||||
\(987\) | −5.11880e7 | −1.67254 | ||||||||
\(988\) | 3.09090e6 | − | 1.23674e7i | 0.100738 | − | 0.403075i | ||||
\(989\) | −1.53862e7 | −0.500197 | ||||||||
\(990\) | −3.09340e6 | + | 1.75435e7i | −0.100311 | + | 0.568891i | ||||
\(991\) | 3.29276e7 | + | 2.76295e7i | 1.06506 | + | 0.893694i | 0.994596 | − | 0.103820i | \(-0.0331066\pi\) |
0.0704670 | + | 0.997514i | \(0.477551\pi\) | |||||||
\(992\) | −6.39686e6 | − | 2.32827e6i | −0.206390 | − | 0.0751196i | ||||
\(993\) | 2.21213e7 | − | 8.05151e6i | 0.711932 | − | 0.259122i | ||||
\(994\) | −2.22008e7 | + | 1.86286e7i | −0.712692 | + | 0.598019i | ||||
\(995\) | 1.46120e7 | + | 2.53088e7i | 0.467900 | + | 0.810426i | ||||
\(996\) | 2.84441e6 | − | 4.92667e6i | 0.0908540 | − | 0.157364i | ||||
\(997\) | −9.24600e6 | − | 5.24366e7i | −0.294588 | − | 1.67069i | −0.668870 | − | 0.743379i | \(-0.733222\pi\) |
0.374282 | − | 0.927315i | \(-0.377889\pi\) | |||||||
\(998\) | −2.59076e6 | − | 1.46929e7i | −0.0823381 | − | 0.466963i | ||||
\(999\) | −1.54270e7 | + | 2.67203e7i | −0.489065 | + | 0.847085i |
(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.17.4 | yes | 30 | |
19.3 | odd | 18 | 722.6.a.q.1.6 | 15 | |||
19.9 | even | 9 | inner | 38.6.e.b.9.4 | ✓ | 30 | |
19.16 | even | 9 | 722.6.a.r.1.10 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.6.e.b.9.4 | ✓ | 30 | 19.9 | even | 9 | inner | |
38.6.e.b.17.4 | yes | 30 | 1.1 | even | 1 | trivial | |
722.6.a.q.1.6 | 15 | 19.3 | odd | 18 | |||
722.6.a.r.1.10 | 15 | 19.16 | even | 9 |