Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,6,Mod(139,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.139");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.b (of order \(2\), degree \(1\), 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: | \(36.8882785570\) |
Analytic rank: | \(0\) |
Dimension: | \(26\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 139.8 | ||
Character | \(\chi\) | \(=\) | 230.139 |
Dual form | 230.6.b.a.139.19 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 4.00000i | − | 0.707107i | ||||||
\(3\) | 5.15388i | 0.330621i | 0.986242 | + | 0.165311i | \(0.0528627\pi\) | ||||
−0.986242 | + | 0.165311i | \(0.947137\pi\) | |||||||
\(4\) | −16.0000 | −0.500000 | ||||||||
\(5\) | 33.2902 | − | 44.9084i | 0.595514 | − | 0.803345i | ||||
\(6\) | 20.6155 | 0.233785 | ||||||||
\(7\) | 47.7267i | 0.368143i | 0.982913 | + | 0.184071i | \(0.0589278\pi\) | ||||
−0.982913 | + | 0.184071i | \(0.941072\pi\) | |||||||
\(8\) | 64.0000i | 0.353553i | ||||||||
\(9\) | 216.438 | 0.890689 | ||||||||
\(10\) | −179.633 | − | 133.161i | −0.568051 | − | 0.421092i | ||||
\(11\) | −454.115 | −1.13158 | −0.565789 | − | 0.824550i | \(-0.691428\pi\) | ||||
−0.565789 | + | 0.824550i | \(0.691428\pi\) | |||||||
\(12\) | − | 82.4620i | − | 0.165311i | ||||||
\(13\) | 981.506i | 1.61077i | 0.592749 | + | 0.805387i | \(0.298043\pi\) | ||||
−0.592749 | + | 0.805387i | \(0.701957\pi\) | |||||||
\(14\) | 190.907 | 0.260316 | ||||||||
\(15\) | 231.452 | + | 171.574i | 0.265603 | + | 0.196890i | ||||
\(16\) | 256.000 | 0.250000 | ||||||||
\(17\) | 62.6745i | 0.0525979i | 0.999654 | + | 0.0262989i | \(0.00837218\pi\) | ||||
−0.999654 | + | 0.0262989i | \(0.991628\pi\) | |||||||
\(18\) | − | 865.750i | − | 0.629813i | ||||||
\(19\) | −779.572 | −0.495419 | −0.247709 | − | 0.968834i | \(-0.579678\pi\) | ||||
−0.247709 | + | 0.968834i | \(0.579678\pi\) | |||||||
\(20\) | −532.644 | + | 718.534i | −0.297757 | + | 0.401673i | ||||
\(21\) | −245.978 | −0.121716 | ||||||||
\(22\) | 1816.46i | 0.800146i | ||||||||
\(23\) | − | 529.000i | − | 0.208514i | ||||||
\(24\) | −329.848 | −0.116892 | ||||||||
\(25\) | −908.521 | − | 2990.02i | −0.290727 | − | 0.956806i | ||||
\(26\) | 3926.03 | 1.13899 | ||||||||
\(27\) | 2367.88i | 0.625102i | ||||||||
\(28\) | − | 763.627i | − | 0.184071i | ||||||
\(29\) | −6540.49 | −1.44416 | −0.722081 | − | 0.691809i | \(-0.756814\pi\) | ||||
−0.722081 | + | 0.691809i | \(0.756814\pi\) | |||||||
\(30\) | 686.295 | − | 925.809i | 0.139222 | − | 0.187810i | ||||
\(31\) | −393.393 | −0.0735229 | −0.0367614 | − | 0.999324i | \(-0.511704\pi\) | ||||
−0.0367614 | + | 0.999324i | \(0.511704\pi\) | |||||||
\(32\) | − | 1024.00i | − | 0.176777i | ||||||
\(33\) | − | 2340.45i | − | 0.374124i | ||||||
\(34\) | 250.698 | 0.0371923 | ||||||||
\(35\) | 2143.33 | + | 1588.83i | 0.295746 | + | 0.219234i | ||||
\(36\) | −3463.00 | −0.445345 | ||||||||
\(37\) | 13388.5i | 1.60779i | 0.594773 | + | 0.803894i | \(0.297242\pi\) | ||||
−0.594773 | + | 0.803894i | \(0.702758\pi\) | |||||||
\(38\) | 3118.29i | 0.350314i | ||||||||
\(39\) | −5058.56 | −0.532557 | ||||||||
\(40\) | 2874.13 | + | 2130.57i | 0.284025 | + | 0.210546i | ||||
\(41\) | 18185.9 | 1.68957 | 0.844784 | − | 0.535107i | \(-0.179729\pi\) | ||||
0.844784 | + | 0.535107i | \(0.179729\pi\) | |||||||
\(42\) | 983.910i | 0.0860661i | ||||||||
\(43\) | 10967.2i | 0.904531i | 0.891883 | + | 0.452266i | \(0.149384\pi\) | ||||
−0.891883 | + | 0.452266i | \(0.850616\pi\) | |||||||
\(44\) | 7265.84 | 0.565789 | ||||||||
\(45\) | 7205.26 | − | 9719.85i | 0.530418 | − | 0.715531i | ||||
\(46\) | −2116.00 | −0.147442 | ||||||||
\(47\) | 22561.4i | 1.48978i | 0.667189 | + | 0.744888i | \(0.267497\pi\) | ||||
−0.667189 | + | 0.744888i | \(0.732503\pi\) | |||||||
\(48\) | 1319.39i | 0.0826554i | ||||||||
\(49\) | 14529.2 | 0.864471 | ||||||||
\(50\) | −11960.1 | + | 3634.08i | −0.676564 | + | 0.205575i | ||||
\(51\) | −323.016 | −0.0173900 | ||||||||
\(52\) | − | 15704.1i | − | 0.805387i | ||||||
\(53\) | − | 1560.04i | − | 0.0762863i | −0.999272 | − | 0.0381432i | \(-0.987856\pi\) | ||
0.999272 | − | 0.0381432i | \(-0.0121443\pi\) | |||||||
\(54\) | 9471.54 | 0.442014 | ||||||||
\(55\) | −15117.6 | + | 20393.6i | −0.673870 | + | 0.909047i | ||||
\(56\) | −3054.51 | −0.130158 | ||||||||
\(57\) | − | 4017.82i | − | 0.163796i | ||||||
\(58\) | 26162.0i | 1.02118i | ||||||||
\(59\) | −16812.1 | −0.628768 | −0.314384 | − | 0.949296i | \(-0.601798\pi\) | ||||
−0.314384 | + | 0.949296i | \(0.601798\pi\) | |||||||
\(60\) | −3703.23 | − | 2745.18i | −0.132802 | − | 0.0984448i | ||||
\(61\) | −25646.1 | −0.882464 | −0.441232 | − | 0.897393i | \(-0.645458\pi\) | ||||
−0.441232 | + | 0.897393i | \(0.645458\pi\) | |||||||
\(62\) | 1573.57i | 0.0519885i | ||||||||
\(63\) | 10329.8i | 0.327901i | ||||||||
\(64\) | −4096.00 | −0.125000 | ||||||||
\(65\) | 44077.8 | + | 32674.6i | 1.29401 | + | 0.959238i | ||||
\(66\) | −9361.82 | −0.264545 | ||||||||
\(67\) | 46004.1i | 1.25202i | 0.779817 | + | 0.626008i | \(0.215312\pi\) | ||||
−0.779817 | + | 0.626008i | \(0.784688\pi\) | |||||||
\(68\) | − | 1002.79i | − | 0.0262989i | ||||||
\(69\) | 2726.40 | 0.0689393 | ||||||||
\(70\) | 6355.33 | − | 8573.31i | 0.155022 | − | 0.209124i | ||||
\(71\) | −20838.0 | −0.490580 | −0.245290 | − | 0.969450i | \(-0.578883\pi\) | ||||
−0.245290 | + | 0.969450i | \(0.578883\pi\) | |||||||
\(72\) | 13852.0i | 0.314906i | ||||||||
\(73\) | 47021.0i | 1.03273i | 0.856370 | + | 0.516363i | \(0.172714\pi\) | ||||
−0.856370 | + | 0.516363i | \(0.827286\pi\) | |||||||
\(74\) | 53554.1 | 1.13688 | ||||||||
\(75\) | 15410.2 | − | 4682.41i | 0.316341 | − | 0.0961205i | ||||
\(76\) | 12473.2 | 0.247709 | ||||||||
\(77\) | − | 21673.4i | − | 0.416582i | ||||||
\(78\) | 20234.3i | 0.376574i | ||||||||
\(79\) | 86675.9 | 1.56254 | 0.781269 | − | 0.624194i | \(-0.214573\pi\) | ||||
0.781269 | + | 0.624194i | \(0.214573\pi\) | |||||||
\(80\) | 8522.30 | − | 11496.5i | 0.148878 | − | 0.200836i | ||||
\(81\) | 40390.5 | 0.684017 | ||||||||
\(82\) | − | 72743.7i | − | 1.19471i | ||||||
\(83\) | − | 48624.8i | − | 0.774751i | −0.921922 | − | 0.387376i | \(-0.873382\pi\) | ||
0.921922 | − | 0.387376i | \(-0.126618\pi\) | |||||||
\(84\) | 3935.64 | 0.0608579 | ||||||||
\(85\) | 2814.61 | + | 2086.45i | 0.0422543 | + | 0.0313228i | ||||
\(86\) | 43868.7 | 0.639600 | ||||||||
\(87\) | − | 33708.9i | − | 0.477471i | ||||||
\(88\) | − | 29063.4i | − | 0.400073i | ||||||
\(89\) | 97581.8 | 1.30585 | 0.652926 | − | 0.757422i | \(-0.273541\pi\) | ||||
0.652926 | + | 0.757422i | \(0.273541\pi\) | |||||||
\(90\) | −38879.4 | − | 28821.0i | −0.505957 | − | 0.375062i | ||||
\(91\) | −46844.1 | −0.592995 | ||||||||
\(92\) | 8464.00i | 0.104257i | ||||||||
\(93\) | − | 2027.50i | − | 0.0243082i | ||||||
\(94\) | 90245.6 | 1.05343 | ||||||||
\(95\) | −25952.1 | + | 35009.3i | −0.295029 | + | 0.397992i | ||||
\(96\) | 5277.57 | 0.0584462 | ||||||||
\(97\) | 169813.i | 1.83249i | 0.400620 | + | 0.916244i | \(0.368795\pi\) | ||||
−0.400620 | + | 0.916244i | \(0.631205\pi\) | |||||||
\(98\) | − | 58116.7i | − | 0.611273i | ||||||
\(99\) | −98287.6 | −1.00788 | ||||||||
\(100\) | 14536.3 | + | 47840.3i | 0.145363 | + | 0.478403i | ||||
\(101\) | −17646.0 | −0.172125 | −0.0860625 | − | 0.996290i | \(-0.527428\pi\) | ||||
−0.0860625 | + | 0.996290i | \(0.527428\pi\) | |||||||
\(102\) | 1292.07i | 0.0122966i | ||||||||
\(103\) | − | 171436.i | − | 1.59224i | −0.605140 | − | 0.796119i | \(-0.706883\pi\) | ||
0.605140 | − | 0.796119i | \(-0.293117\pi\) | |||||||
\(104\) | −62816.4 | −0.569495 | ||||||||
\(105\) | −8188.65 | + | 11046.4i | −0.0724835 | + | 0.0977798i | ||||
\(106\) | −6240.17 | −0.0539426 | ||||||||
\(107\) | − | 59037.9i | − | 0.498507i | −0.968438 | − | 0.249254i | \(-0.919815\pi\) | ||
0.968438 | − | 0.249254i | \(-0.0801853\pi\) | |||||||
\(108\) | − | 37886.2i | − | 0.312551i | ||||||
\(109\) | 185647. | 1.49665 | 0.748326 | − | 0.663331i | \(-0.230858\pi\) | ||||
0.748326 | + | 0.663331i | \(0.230858\pi\) | |||||||
\(110\) | 81574.3 | + | 60470.4i | 0.642794 | + | 0.476498i | ||||
\(111\) | −69002.9 | −0.531569 | ||||||||
\(112\) | 12218.0i | 0.0920357i | ||||||||
\(113\) | 18178.3i | 0.133923i | 0.997756 | + | 0.0669617i | \(0.0213305\pi\) | ||||
−0.997756 | + | 0.0669617i | \(0.978669\pi\) | |||||||
\(114\) | −16071.3 | −0.115821 | ||||||||
\(115\) | −23756.5 | − | 17610.5i | −0.167509 | − | 0.124173i | ||||
\(116\) | 104648. | 0.722081 | ||||||||
\(117\) | 212435.i | 1.43470i | ||||||||
\(118\) | 67248.2i | 0.444606i | ||||||||
\(119\) | −2991.24 | −0.0193635 | ||||||||
\(120\) | −10980.7 | + | 14812.9i | −0.0696110 | + | 0.0939049i | ||||
\(121\) | 45169.6 | 0.280468 | ||||||||
\(122\) | 102584.i | 0.623996i | ||||||||
\(123\) | 93728.1i | 0.558608i | ||||||||
\(124\) | 6294.29 | 0.0367614 | ||||||||
\(125\) | −164522. | − | 58738.2i | −0.941777 | − | 0.336237i | ||||
\(126\) | 41319.4 | 0.231861 | ||||||||
\(127\) | 271569.i | 1.49407i | 0.664786 | + | 0.747034i | \(0.268523\pi\) | ||||
−0.664786 | + | 0.747034i | \(0.731477\pi\) | |||||||
\(128\) | 16384.0i | 0.0883883i | ||||||||
\(129\) | −56523.5 | −0.299057 | ||||||||
\(130\) | 130698. | − | 176311.i | 0.678284 | − | 0.915002i | ||||
\(131\) | −302459. | −1.53989 | −0.769943 | − | 0.638113i | \(-0.779715\pi\) | ||||
−0.769943 | + | 0.638113i | \(0.779715\pi\) | |||||||
\(132\) | 37447.3i | 0.187062i | ||||||||
\(133\) | − | 37206.4i | − | 0.182385i | ||||||
\(134\) | 184016. | 0.885308 | ||||||||
\(135\) | 106338. | + | 78827.4i | 0.502173 | + | 0.372257i | ||||
\(136\) | −4011.17 | −0.0185962 | ||||||||
\(137\) | − | 290889.i | − | 1.32412i | −0.749453 | − | 0.662058i | \(-0.769683\pi\) | ||
0.749453 | − | 0.662058i | \(-0.230317\pi\) | |||||||
\(138\) | − | 10905.6i | − | 0.0487475i | ||||||
\(139\) | −315327. | −1.38428 | −0.692140 | − | 0.721763i | \(-0.743332\pi\) | ||||
−0.692140 | + | 0.721763i | \(0.743332\pi\) | |||||||
\(140\) | −34293.2 | − | 25421.3i | −0.147873 | − | 0.109617i | ||||
\(141\) | −116279. | −0.492552 | ||||||||
\(142\) | 83351.9i | 0.346892i | ||||||||
\(143\) | − | 445717.i | − | 1.82272i | ||||||
\(144\) | 55408.0 | 0.222672 | ||||||||
\(145\) | −217735. | + | 293723.i | −0.860018 | + | 1.16016i | ||||
\(146\) | 188084. | 0.730247 | ||||||||
\(147\) | 74881.5i | 0.285813i | ||||||||
\(148\) | − | 214217.i | − | 0.803894i | ||||||
\(149\) | −425427. | −1.56986 | −0.784928 | − | 0.619587i | \(-0.787300\pi\) | ||||
−0.784928 | + | 0.619587i | \(0.787300\pi\) | |||||||
\(150\) | −18729.6 | − | 61640.8i | −0.0679674 | − | 0.223687i | ||||
\(151\) | −187722. | −0.669998 | −0.334999 | − | 0.942219i | \(-0.608736\pi\) | ||||
−0.334999 | + | 0.942219i | \(0.608736\pi\) | |||||||
\(152\) | − | 49892.6i | − | 0.175157i | ||||||
\(153\) | 13565.1i | 0.0468484i | ||||||||
\(154\) | −86693.7 | −0.294568 | ||||||||
\(155\) | −13096.1 | + | 17666.6i | −0.0437839 | + | 0.0590642i | ||||
\(156\) | 80937.0 | 0.266278 | ||||||||
\(157\) | − | 46448.3i | − | 0.150391i | −0.997169 | − | 0.0751953i | \(-0.976042\pi\) | ||
0.997169 | − | 0.0751953i | \(-0.0239580\pi\) | |||||||
\(158\) | − | 346704.i | − | 1.10488i | ||||||
\(159\) | 8040.27 | 0.0252219 | ||||||||
\(160\) | −45986.2 | − | 34089.2i | −0.142013 | − | 0.105273i | ||||
\(161\) | 25247.4 | 0.0767631 | ||||||||
\(162\) | − | 161562.i | − | 0.483673i | ||||||
\(163\) | 382470.i | 1.12753i | 0.825935 | + | 0.563765i | \(0.190648\pi\) | ||||
−0.825935 | + | 0.563765i | \(0.809352\pi\) | |||||||
\(164\) | −290975. | −0.844784 | ||||||||
\(165\) | −105106. | − | 77914.3i | −0.300551 | − | 0.222796i | ||||
\(166\) | −194499. | −0.547832 | ||||||||
\(167\) | − | 586145.i | − | 1.62635i | −0.582021 | − | 0.813174i | \(-0.697738\pi\) | ||
0.582021 | − | 0.813174i | \(-0.302262\pi\) | |||||||
\(168\) | − | 15742.6i | − | 0.0430331i | ||||||
\(169\) | −592062. | −1.59460 | ||||||||
\(170\) | 8345.79 | − | 11258.4i | 0.0221485 | − | 0.0298783i | ||||
\(171\) | −168729. | −0.441264 | ||||||||
\(172\) | − | 175475.i | − | 0.452266i | ||||||
\(173\) | 43802.8i | 0.111272i | 0.998451 | + | 0.0556362i | \(0.0177187\pi\) | ||||
−0.998451 | + | 0.0556362i | \(0.982281\pi\) | |||||||
\(174\) | −134836. | −0.337623 | ||||||||
\(175\) | 142704. | − | 43360.7i | 0.352241 | − | 0.107029i | ||||
\(176\) | −116253. | −0.282894 | ||||||||
\(177\) | − | 86647.3i | − | 0.207884i | ||||||
\(178\) | − | 390327.i | − | 0.923377i | ||||||
\(179\) | 766442. | 1.78791 | 0.893957 | − | 0.448153i | \(-0.147918\pi\) | ||||
0.893957 | + | 0.448153i | \(0.147918\pi\) | |||||||
\(180\) | −115284. | + | 155518.i | −0.265209 | + | 0.357766i | ||||
\(181\) | 342316. | 0.776660 | 0.388330 | − | 0.921520i | \(-0.373052\pi\) | ||||
0.388330 | + | 0.921520i | \(0.373052\pi\) | |||||||
\(182\) | 187376.i | 0.419311i | ||||||||
\(183\) | − | 132177.i | − | 0.291762i | ||||||
\(184\) | 33856.0 | 0.0737210 | ||||||||
\(185\) | 601257. | + | 445707.i | 1.29161 | + | 0.957460i | ||||
\(186\) | −8110.00 | −0.0171885 | ||||||||
\(187\) | − | 28461.4i | − | 0.0595186i | ||||||
\(188\) | − | 360982.i | − | 0.744888i | ||||||
\(189\) | −113011. | −0.230127 | ||||||||
\(190\) | 140037. | + | 103809.i | 0.281423 | + | 0.208617i | ||||
\(191\) | −561074. | −1.11285 | −0.556425 | − | 0.830898i | \(-0.687827\pi\) | ||||
−0.556425 | + | 0.830898i | \(0.687827\pi\) | |||||||
\(192\) | − | 21110.3i | − | 0.0413277i | ||||||
\(193\) | − | 329086.i | − | 0.635940i | −0.948101 | − | 0.317970i | \(-0.896999\pi\) | ||
0.948101 | − | 0.317970i | \(-0.103001\pi\) | |||||||
\(194\) | 679251. | 1.29576 | ||||||||
\(195\) | −168401. | + | 227172.i | −0.317145 | + | 0.427827i | ||||
\(196\) | −232467. | −0.432235 | ||||||||
\(197\) | 264621.i | 0.485801i | 0.970051 | + | 0.242900i | \(0.0780988\pi\) | ||||
−0.970051 | + | 0.242900i | \(0.921901\pi\) | |||||||
\(198\) | 393150.i | 0.712682i | ||||||||
\(199\) | −49430.4 | −0.0884832 | −0.0442416 | − | 0.999021i | \(-0.514087\pi\) | ||||
−0.0442416 | + | 0.999021i | \(0.514087\pi\) | |||||||
\(200\) | 191361. | − | 58145.3i | 0.338282 | − | 0.102787i | ||||
\(201\) | −237100. | −0.413943 | ||||||||
\(202\) | 70584.1i | 0.121711i | ||||||||
\(203\) | − | 312156.i | − | 0.531657i | ||||||
\(204\) | 5168.26 | 0.00869499 | ||||||||
\(205\) | 605414. | − | 816700.i | 1.00616 | − | 1.35731i | ||||
\(206\) | −685742. | −1.12588 | ||||||||
\(207\) | − | 114495.i | − | 0.185722i | ||||||
\(208\) | 251266.i | 0.402694i | ||||||||
\(209\) | 354016. | 0.560604 | ||||||||
\(210\) | 44185.8 | + | 32754.6i | 0.0691408 | + | 0.0512536i | ||||
\(211\) | −891923. | −1.37918 | −0.689591 | − | 0.724199i | \(-0.742210\pi\) | ||||
−0.689591 | + | 0.724199i | \(0.742210\pi\) | |||||||
\(212\) | 24960.7i | 0.0381432i | ||||||||
\(213\) | − | 107396.i | − | 0.162196i | ||||||
\(214\) | −236152. | −0.352498 | ||||||||
\(215\) | 492518. | + | 365100.i | 0.726651 | + | 0.538661i | ||||
\(216\) | −151545. | −0.221007 | ||||||||
\(217\) | − | 18775.3i | − | 0.0270669i | ||||||
\(218\) | − | 742587.i | − | 1.05829i | ||||||
\(219\) | −242340. | −0.341441 | ||||||||
\(220\) | 241882. | − | 326297.i | 0.336935 | − | 0.454524i | ||||
\(221\) | −61515.4 | −0.0847233 | ||||||||
\(222\) | 276012.i | 0.375876i | ||||||||
\(223\) | 597814.i | 0.805015i | 0.915417 | + | 0.402507i | \(0.131861\pi\) | ||||
−0.915417 | + | 0.402507i | \(0.868139\pi\) | |||||||
\(224\) | 48872.1 | 0.0650791 | ||||||||
\(225\) | −196638. | − | 647152.i | −0.258947 | − | 0.852217i | ||||
\(226\) | 72713.1 | 0.0946981 | ||||||||
\(227\) | 230418.i | 0.296791i | 0.988928 | + | 0.148396i | \(0.0474109\pi\) | ||||
−0.988928 | + | 0.148396i | \(0.952589\pi\) | |||||||
\(228\) | 64285.1i | 0.0818980i | ||||||||
\(229\) | −728543. | −0.918050 | −0.459025 | − | 0.888423i | \(-0.651801\pi\) | ||||
−0.459025 | + | 0.888423i | \(0.651801\pi\) | |||||||
\(230\) | −70442.1 | + | 95026.1i | −0.0878037 | + | 0.118447i | ||||
\(231\) | 111702. | 0.137731 | ||||||||
\(232\) | − | 418592.i | − | 0.510588i | ||||||
\(233\) | − | 895475.i | − | 1.08060i | −0.841473 | − | 0.540299i | \(-0.818311\pi\) | ||
0.841473 | − | 0.540299i | \(-0.181689\pi\) | |||||||
\(234\) | 849739. | 1.01449 | ||||||||
\(235\) | 1.01319e6 | + | 751074.i | 1.19680 | + | 0.887183i | ||||
\(236\) | 268993. | 0.314384 | ||||||||
\(237\) | 446717.i | 0.516609i | ||||||||
\(238\) | 11965.0i | 0.0136921i | ||||||||
\(239\) | −271856. | −0.307854 | −0.153927 | − | 0.988082i | \(-0.549192\pi\) | ||||
−0.153927 | + | 0.988082i | \(0.549192\pi\) | |||||||
\(240\) | 59251.8 | + | 43922.9i | 0.0664008 | + | 0.0492224i | ||||
\(241\) | 901747. | 1.00010 | 0.500049 | − | 0.865997i | \(-0.333315\pi\) | ||||
0.500049 | + | 0.865997i | \(0.333315\pi\) | |||||||
\(242\) | − | 180679.i | − | 0.198321i | ||||||
\(243\) | 783564.i | 0.851253i | ||||||||
\(244\) | 410338. | 0.441232 | ||||||||
\(245\) | 483679. | − | 652481.i | 0.514804 | − | 0.694469i | ||||
\(246\) | 374912. | 0.394995 | ||||||||
\(247\) | − | 765155.i | − | 0.798008i | ||||||
\(248\) | − | 25177.2i | − | 0.0259943i | ||||||
\(249\) | 250606. | 0.256149 | ||||||||
\(250\) | −234953. | + | 658087.i | −0.237756 | + | 0.665937i | ||||
\(251\) | −464035. | −0.464907 | −0.232454 | − | 0.972608i | \(-0.574675\pi\) | ||||
−0.232454 | + | 0.972608i | \(0.574675\pi\) | |||||||
\(252\) | − | 165278.i | − | 0.163950i | ||||||
\(253\) | 240227.i | 0.235950i | ||||||||
\(254\) | 1.08627e6 | 1.05647 | ||||||||
\(255\) | −10753.3 | + | 14506.1i | −0.0103560 | + | 0.0139702i | ||||
\(256\) | 65536.0 | 0.0625000 | ||||||||
\(257\) | 722423.i | 0.682274i | 0.940014 | + | 0.341137i | \(0.110812\pi\) | ||||
−0.940014 | + | 0.341137i | \(0.889188\pi\) | |||||||
\(258\) | 226094.i | 0.211466i | ||||||||
\(259\) | −638991. | −0.591895 | ||||||||
\(260\) | −705245. | − | 522793.i | −0.647004 | − | 0.479619i | ||||
\(261\) | −1.41561e6 | −1.28630 | ||||||||
\(262\) | 1.20984e6i | 1.08886i | ||||||||
\(263\) | − | 348644.i | − | 0.310808i | −0.987851 | − | 0.155404i | \(-0.950332\pi\) | ||
0.987851 | − | 0.155404i | \(-0.0496680\pi\) | |||||||
\(264\) | 149789. | 0.132273 | ||||||||
\(265\) | −70058.9 | − | 51934.2i | −0.0612843 | − | 0.0454296i | ||||
\(266\) | −148826. | −0.128965 | ||||||||
\(267\) | 502925.i | 0.431743i | ||||||||
\(268\) | − | 736066.i | − | 0.626008i | ||||||
\(269\) | 1.51710e6 | 1.27830 | 0.639152 | − | 0.769080i | \(-0.279285\pi\) | ||||
0.639152 | + | 0.769080i | \(0.279285\pi\) | |||||||
\(270\) | 315310. | − | 425351.i | 0.263226 | − | 0.355090i | ||||
\(271\) | 733012. | 0.606300 | 0.303150 | − | 0.952943i | \(-0.401962\pi\) | ||||
0.303150 | + | 0.952943i | \(0.401962\pi\) | |||||||
\(272\) | 16044.7i | 0.0131495i | ||||||||
\(273\) | − | 241429.i | − | 0.196057i | ||||||
\(274\) | −1.16356e6 | −0.936291 | ||||||||
\(275\) | 412573. | + | 1.35781e6i | 0.328980 | + | 1.08270i | ||||
\(276\) | −43622.4 | −0.0344697 | ||||||||
\(277\) | − | 115106.i | − | 0.0901364i | −0.998984 | − | 0.0450682i | \(-0.985649\pi\) | ||
0.998984 | − | 0.0450682i | \(-0.0143505\pi\) | |||||||
\(278\) | 1.26131e6i | 0.978834i | ||||||||
\(279\) | −85145.0 | −0.0654860 | ||||||||
\(280\) | −101685. | + | 137173.i | −0.0775109 | + | 0.104562i | ||||
\(281\) | 1.10282e6 | 0.833178 | 0.416589 | − | 0.909095i | \(-0.363225\pi\) | ||||
0.416589 | + | 0.909095i | \(0.363225\pi\) | |||||||
\(282\) | 465115.i | 0.348287i | ||||||||
\(283\) | − | 2.18776e6i | − | 1.62381i | −0.583793 | − | 0.811903i | \(-0.698432\pi\) | ||
0.583793 | − | 0.811903i | \(-0.301568\pi\) | |||||||
\(284\) | 333408. | 0.245290 | ||||||||
\(285\) | −180434. | − | 133754.i | −0.131585 | − | 0.0975428i | ||||
\(286\) | −1.78287e6 | −1.28886 | ||||||||
\(287\) | 867954.i | 0.622002i | ||||||||
\(288\) | − | 221632.i | − | 0.157453i | ||||||
\(289\) | 1.41593e6 | 0.997233 | ||||||||
\(290\) | 1.17489e6 | + | 870938.i | 0.820357 | + | 0.608124i | ||||
\(291\) | −875195. | −0.605860 | ||||||||
\(292\) | − | 752336.i | − | 0.516363i | ||||||
\(293\) | 1.30722e6i | 0.889569i | 0.895638 | + | 0.444785i | \(0.146720\pi\) | ||||
−0.895638 | + | 0.444785i | \(0.853280\pi\) | |||||||
\(294\) | 299526. | 0.202100 | ||||||||
\(295\) | −559677. | + | 755002.i | −0.374440 | + | 0.505118i | ||||
\(296\) | −856866. | −0.568439 | ||||||||
\(297\) | − | 1.07529e6i | − | 0.707352i | ||||||
\(298\) | 1.70171e6i | 1.11006i | ||||||||
\(299\) | 519217. | 0.335870 | ||||||||
\(300\) | −246563. | + | 74918.5i | −0.158170 | + | 0.0480602i | ||||
\(301\) | −523427. | −0.332997 | ||||||||
\(302\) | 750889.i | 0.473760i | ||||||||
\(303\) | − | 90945.5i | − | 0.0569082i | ||||||
\(304\) | −199570. | −0.123855 | ||||||||
\(305\) | −853765. | + | 1.15172e6i | −0.525519 | + | 0.708923i | ||||
\(306\) | 54260.4 | 0.0331268 | ||||||||
\(307\) | − | 3.16021e6i | − | 1.91368i | −0.290607 | − | 0.956842i | \(-0.593857\pi\) | ||
0.290607 | − | 0.956842i | \(-0.406143\pi\) | |||||||
\(308\) | 346775.i | 0.208291i | ||||||||
\(309\) | 883558. | 0.526428 | ||||||||
\(310\) | 70666.5 | + | 52384.6i | 0.0417647 | + | 0.0309599i | ||||
\(311\) | −2.82259e6 | −1.65481 | −0.827403 | − | 0.561608i | \(-0.810183\pi\) | ||||
−0.827403 | + | 0.561608i | \(0.810183\pi\) | |||||||
\(312\) | − | 323748.i | − | 0.188287i | ||||||
\(313\) | 1.35221e6i | 0.780157i | 0.920782 | + | 0.390079i | \(0.127552\pi\) | ||||
−0.920782 | + | 0.390079i | \(0.872448\pi\) | |||||||
\(314\) | −185793. | −0.106342 | ||||||||
\(315\) | 463896. | + | 343883.i | 0.263418 | + | 0.195269i | ||||
\(316\) | −1.38681e6 | −0.781269 | ||||||||
\(317\) | 27641.1i | 0.0154492i | 0.999970 | + | 0.00772461i | \(0.00245884\pi\) | ||||
−0.999970 | + | 0.00772461i | \(0.997541\pi\) | |||||||
\(318\) | − | 32161.1i | − | 0.0178346i | ||||||
\(319\) | 2.97014e6 | 1.63418 | ||||||||
\(320\) | −136357. | + | 183945.i | −0.0744392 | + | 0.100418i | ||||
\(321\) | 304274. | 0.164817 | ||||||||
\(322\) | − | 100990.i | − | 0.0542797i | ||||||
\(323\) | − | 48859.3i | − | 0.0260580i | ||||||
\(324\) | −646249. | −0.342009 | ||||||||
\(325\) | 2.93472e6 | − | 891719.i | 1.54120 | − | 0.468295i | ||||
\(326\) | 1.52988e6 | 0.797284 | ||||||||
\(327\) | 956800.i | 0.494825i | ||||||||
\(328\) | 1.16390e6i | 0.597353i | ||||||||
\(329\) | −1.07678e6 | −0.548450 | ||||||||
\(330\) | −311657. | + | 420424.i | −0.157540 | + | 0.212521i | ||||
\(331\) | 2.58398e6 | 1.29634 | 0.648171 | − | 0.761495i | \(-0.275534\pi\) | ||||
0.648171 | + | 0.761495i | \(0.275534\pi\) | |||||||
\(332\) | 777996.i | 0.387376i | ||||||||
\(333\) | 2.89778e6i | 1.43204i | ||||||||
\(334\) | −2.34458e6 | −1.15000 | ||||||||
\(335\) | 2.06597e6 | + | 1.53149e6i | 1.00580 | + | 0.745592i | ||||
\(336\) | −62970.2 | −0.0304290 | ||||||||
\(337\) | − | 19157.4i | − | 0.00918884i | −0.999989 | − | 0.00459442i | \(-0.998538\pi\) | ||
0.999989 | − | 0.00459442i | \(-0.00146246\pi\) | |||||||
\(338\) | 2.36825e6i | 1.12755i | ||||||||
\(339\) | −93688.5 | −0.0442779 | ||||||||
\(340\) | −45033.7 | − | 33383.2i | −0.0211271 | − | 0.0156614i | ||||
\(341\) | 178646. | 0.0831968 | ||||||||
\(342\) | 674915.i | 0.312021i | ||||||||
\(343\) | 1.49557e6i | 0.686391i | ||||||||
\(344\) | −701899. | −0.319800 | ||||||||
\(345\) | 90762.5 | − | 122438.i | 0.0410543 | − | 0.0553821i | ||||
\(346\) | 175211. | 0.0786814 | ||||||||
\(347\) | 2.85865e6i | 1.27449i | 0.770660 | + | 0.637247i | \(0.219927\pi\) | ||||
−0.770660 | + | 0.637247i | \(0.780073\pi\) | |||||||
\(348\) | 539343.i | 0.238735i | ||||||||
\(349\) | −1.89625e6 | −0.833361 | −0.416680 | − | 0.909053i | \(-0.636807\pi\) | ||||
−0.416680 | + | 0.909053i | \(0.636807\pi\) | |||||||
\(350\) | −173443. | − | 570815.i | −0.0756809 | − | 0.249072i | ||||
\(351\) | −2.32409e6 | −1.00690 | ||||||||
\(352\) | 465014.i | 0.200037i | ||||||||
\(353\) | − | 867325.i | − | 0.370463i | −0.982695 | − | 0.185232i | \(-0.940696\pi\) | ||
0.982695 | − | 0.185232i | \(-0.0593035\pi\) | |||||||
\(354\) | −346589. | −0.146996 | ||||||||
\(355\) | −693701. | + | 935799.i | −0.292147 | + | 0.394105i | ||||
\(356\) | −1.56131e6 | −0.652926 | ||||||||
\(357\) | − | 15416.5i | − | 0.00640200i | ||||||
\(358\) | − | 3.06577e6i | − | 1.26425i | ||||||
\(359\) | 2.49173e6 | 1.02039 | 0.510194 | − | 0.860059i | \(-0.329573\pi\) | ||||
0.510194 | + | 0.860059i | \(0.329573\pi\) | |||||||
\(360\) | 622071. | + | 461136.i | 0.252978 | + | 0.187531i | ||||
\(361\) | −1.86837e6 | −0.754560 | ||||||||
\(362\) | − | 1.36926e6i | − | 0.549182i | ||||||
\(363\) | 232799.i | 0.0927287i | ||||||||
\(364\) | 749505. | 0.296497 | ||||||||
\(365\) | 2.11164e6 | + | 1.56534e6i | 0.829635 | + | 0.615002i | ||||
\(366\) | −528708. | −0.206307 | ||||||||
\(367\) | − | 384354.i | − | 0.148959i | −0.997223 | − | 0.0744794i | \(-0.976270\pi\) | ||
0.997223 | − | 0.0744794i | \(-0.0237295\pi\) | |||||||
\(368\) | − | 135424.i | − | 0.0521286i | ||||||
\(369\) | 3.93612e6 | 1.50488 | ||||||||
\(370\) | 1.78283e6 | − | 2.40503e6i | 0.677026 | − | 0.913305i | ||||
\(371\) | 74455.7 | 0.0280843 | ||||||||
\(372\) | 32440.0i | 0.0121541i | ||||||||
\(373\) | − | 43070.0i | − | 0.0160289i | −0.999968 | − | 0.00801443i | \(-0.997449\pi\) | ||
0.999968 | − | 0.00801443i | \(-0.00255110\pi\) | |||||||
\(374\) | −113846. | −0.0420860 | ||||||||
\(375\) | 302730. | − | 847925.i | 0.111167 | − | 0.311372i | ||||
\(376\) | −1.44393e6 | −0.526716 | ||||||||
\(377\) | − | 6.41954e6i | − | 2.32622i | ||||||
\(378\) | 452045.i | 0.162724i | ||||||||
\(379\) | −2.63305e6 | −0.941587 | −0.470794 | − | 0.882243i | \(-0.656032\pi\) | ||||
−0.470794 | + | 0.882243i | \(0.656032\pi\) | |||||||
\(380\) | 415234. | − | 560149.i | 0.147514 | − | 0.198996i | ||||
\(381\) | −1.39963e6 | −0.493971 | ||||||||
\(382\) | 2.24429e6i | 0.786903i | ||||||||
\(383\) | − | 1.25106e6i | − | 0.435795i | −0.975972 | − | 0.217897i | \(-0.930080\pi\) | ||
0.975972 | − | 0.217897i | \(-0.0699198\pi\) | |||||||
\(384\) | −84441.1 | −0.0292231 | ||||||||
\(385\) | −973317. | − | 721513.i | −0.334659 | − | 0.248080i | ||||
\(386\) | −1.31634e6 | −0.449678 | ||||||||
\(387\) | 2.37371e6i | 0.805657i | ||||||||
\(388\) | − | 2.71701e6i | − | 0.916244i | ||||||
\(389\) | 5.02700e6 | 1.68436 | 0.842180 | − | 0.539196i | \(-0.181272\pi\) | ||||
0.842180 | + | 0.539196i | \(0.181272\pi\) | |||||||
\(390\) | 908687. | + | 673603.i | 0.302519 | + | 0.224255i | ||||
\(391\) | 33154.8 | 0.0109674 | ||||||||
\(392\) | 929866.i | 0.305637i | ||||||||
\(393\) | − | 1.55884e6i | − | 0.509119i | ||||||
\(394\) | 1.05848e6 | 0.343513 | ||||||||
\(395\) | 2.88546e6 | − | 3.89247e6i | 0.930513 | − | 1.25526i | ||||
\(396\) | 1.57260e6 | 0.503942 | ||||||||
\(397\) | − | 1.43004e6i | − | 0.455379i | −0.973734 | − | 0.227690i | \(-0.926883\pi\) | ||
0.973734 | − | 0.227690i | \(-0.0731171\pi\) | |||||||
\(398\) | 197721.i | 0.0625671i | ||||||||
\(399\) | 191757. | 0.0603003 | ||||||||
\(400\) | −232581. | − | 765445.i | −0.0726817 | − | 0.239202i | ||||
\(401\) | −3.20563e6 | −0.995525 | −0.497762 | − | 0.867313i | \(-0.665845\pi\) | ||||
−0.497762 | + | 0.867313i | \(0.665845\pi\) | |||||||
\(402\) | 948398.i | 0.292702i | ||||||||
\(403\) | − | 386118.i | − | 0.118429i | ||||||
\(404\) | 282337. | 0.0860625 | ||||||||
\(405\) | 1.34461e6 | − | 1.81387e6i | 0.407342 | − | 0.549502i | ||||
\(406\) | −1.24862e6 | −0.375939 | ||||||||
\(407\) | − | 6.07994e6i | − | 1.81934i | ||||||
\(408\) | − | 20673.1i | − | 0.00614829i | ||||||
\(409\) | −3.66769e6 | −1.08414 | −0.542068 | − | 0.840334i | \(-0.682359\pi\) | ||||
−0.542068 | + | 0.840334i | \(0.682359\pi\) | |||||||
\(410\) | −3.26680e6 | − | 2.42166e6i | −0.959761 | − | 0.711464i | ||||
\(411\) | 1.49921e6 | 0.437781 | ||||||||
\(412\) | 2.74297e6i | 0.796119i | ||||||||
\(413\) | − | 802384.i | − | 0.231477i | ||||||
\(414\) | −457982. | −0.131325 | ||||||||
\(415\) | −2.18366e6 | − | 1.61873e6i | −0.622393 | − | 0.461375i | ||||
\(416\) | 1.00506e6 | 0.284747 | ||||||||
\(417\) | − | 1.62516e6i | − | 0.457673i | ||||||
\(418\) | − | 1.41606e6i | − | 0.396407i | ||||||
\(419\) | 1.91459e6 | 0.532772 | 0.266386 | − | 0.963866i | \(-0.414170\pi\) | ||||
0.266386 | + | 0.963866i | \(0.414170\pi\) | |||||||
\(420\) | 131018. | − | 176743.i | 0.0362417 | − | 0.0488899i | ||||
\(421\) | −3.44059e6 | −0.946080 | −0.473040 | − | 0.881041i | \(-0.656843\pi\) | ||||
−0.473040 | + | 0.881041i | \(0.656843\pi\) | |||||||
\(422\) | 3.56769e6i | 0.975229i | ||||||||
\(423\) | 4.88313e6i | 1.32693i | ||||||||
\(424\) | 99842.7 | 0.0269713 | ||||||||
\(425\) | 187398. | − | 56941.1i | 0.0503260 | − | 0.0152916i | ||||
\(426\) | −429586. | −0.114690 | ||||||||
\(427\) | − | 1.22400e6i | − | 0.324873i | ||||||
\(428\) | 944607.i | 0.249254i | ||||||||
\(429\) | 2.29717e6 | 0.602629 | ||||||||
\(430\) | 1.46040e6 | − | 1.97007e6i | 0.380891 | − | 0.513820i | ||||
\(431\) | −5.26168e6 | −1.36437 | −0.682184 | − | 0.731181i | \(-0.738970\pi\) | ||||
−0.682184 | + | 0.731181i | \(0.738970\pi\) | |||||||
\(432\) | 606179.i | 0.156276i | ||||||||
\(433\) | − | 3.67109e6i | − | 0.940968i | −0.882408 | − | 0.470484i | \(-0.844079\pi\) | ||
0.882408 | − | 0.470484i | \(-0.155921\pi\) | |||||||
\(434\) | −75101.4 | −0.0191392 | ||||||||
\(435\) | −1.51381e6 | − | 1.12218e6i | −0.383574 | − | 0.284340i | ||||
\(436\) | −2.97035e6 | −0.748326 | ||||||||
\(437\) | 412394.i | 0.103302i | ||||||||
\(438\) | 969362.i | 0.241435i | ||||||||
\(439\) | −1.05642e6 | −0.261623 | −0.130812 | − | 0.991407i | \(-0.541758\pi\) | ||||
−0.130812 | + | 0.991407i | \(0.541758\pi\) | |||||||
\(440\) | −1.30519e6 | − | 967526.i | −0.321397 | − | 0.238249i | ||||
\(441\) | 3.14466e6 | 0.769975 | ||||||||
\(442\) | 246062.i | 0.0599084i | ||||||||
\(443\) | 4.92747e6i | 1.19293i | 0.802639 | + | 0.596464i | \(0.203428\pi\) | ||||
−0.802639 | + | 0.596464i | \(0.796572\pi\) | |||||||
\(444\) | 1.10405e6 | 0.265785 | ||||||||
\(445\) | 3.24852e6 | − | 4.38224e6i | 0.777653 | − | 1.04905i | ||||
\(446\) | 2.39126e6 | 0.569231 | ||||||||
\(447\) | − | 2.19260e6i | − | 0.519028i | ||||||
\(448\) | − | 195489.i | − | 0.0460178i | ||||||
\(449\) | 4.10998e6 | 0.962109 | 0.481054 | − | 0.876691i | \(-0.340254\pi\) | ||||
0.481054 | + | 0.876691i | \(0.340254\pi\) | |||||||
\(450\) | −2.58861e6 | + | 786552.i | −0.602609 | + | 0.183103i | ||||
\(451\) | −8.25851e6 | −1.91188 | ||||||||
\(452\) | − | 290852.i | − | 0.0669617i | ||||||
\(453\) | − | 967497.i | − | 0.221516i | ||||||
\(454\) | 921671. | 0.209863 | ||||||||
\(455\) | −1.55945e6 | + | 2.10369e6i | −0.353137 | + | 0.476380i | ||||
\(456\) | 257140. | 0.0579106 | ||||||||
\(457\) | − | 137840.i | − | 0.0308733i | −0.999881 | − | 0.0154367i | \(-0.995086\pi\) | ||
0.999881 | − | 0.0154367i | \(-0.00491384\pi\) | |||||||
\(458\) | 2.91417e6i | 0.649160i | ||||||||
\(459\) | −148406. | −0.0328791 | ||||||||
\(460\) | 380104. | + | 281769.i | 0.0837545 | + | 0.0620866i | ||||
\(461\) | 8.88101e6 | 1.94630 | 0.973150 | − | 0.230171i | \(-0.0739285\pi\) | ||||
0.973150 | + | 0.230171i | \(0.0739285\pi\) | |||||||
\(462\) | − | 446809.i | − | 0.0973905i | ||||||
\(463\) | 332466.i | 0.0720768i | 0.999350 | + | 0.0360384i | \(0.0114739\pi\) | ||||
−0.999350 | + | 0.0360384i | \(0.988526\pi\) | |||||||
\(464\) | −1.67437e6 | −0.361040 | ||||||||
\(465\) | −91051.7 | − | 67495.9i | −0.0195279 | − | 0.0144759i | ||||
\(466\) | −3.58190e6 | −0.764098 | ||||||||
\(467\) | − | 2.48842e6i | − | 0.527997i | −0.964523 | − | 0.263999i | \(-0.914959\pi\) | ||
0.964523 | − | 0.263999i | \(-0.0850415\pi\) | |||||||
\(468\) | − | 3.39896e6i | − | 0.717350i | ||||||
\(469\) | −2.19562e6 | −0.460920 | ||||||||
\(470\) | 3.00430e6 | − | 4.05278e6i | 0.627333 | − | 0.846269i | ||||
\(471\) | 239389. | 0.0497223 | ||||||||
\(472\) | − | 1.07597e6i | − | 0.222303i | ||||||
\(473\) | − | 4.98036e6i | − | 1.02355i | ||||||
\(474\) | 1.78687e6 | 0.365297 | ||||||||
\(475\) | 708258. | + | 2.33094e6i | 0.144031 | + | 0.474019i | ||||
\(476\) | 47859.9 | 0.00968176 | ||||||||
\(477\) | − | 337652.i | − | 0.0679474i | ||||||
\(478\) | 1.08742e6i | 0.217685i | ||||||||
\(479\) | −4.38795e6 | −0.873821 | −0.436911 | − | 0.899505i | \(-0.643927\pi\) | ||||
−0.436911 | + | 0.899505i | \(0.643927\pi\) | |||||||
\(480\) | 175692. | − | 237007.i | 0.0348055 | − | 0.0469524i | ||||
\(481\) | −1.31409e7 | −2.58978 | ||||||||
\(482\) | − | 3.60699e6i | − | 0.707176i | ||||||
\(483\) | 130122.i | 0.0253795i | ||||||||
\(484\) | −722714. | −0.140234 | ||||||||
\(485\) | 7.62602e6 | + | 5.65311e6i | 1.47212 | + | 1.09127i | ||||
\(486\) | 3.13426e6 | 0.601927 | ||||||||
\(487\) | 7.34951e6i | 1.40422i | 0.712067 | + | 0.702112i | \(0.247759\pi\) | ||||
−0.712067 | + | 0.702112i | \(0.752241\pi\) | |||||||
\(488\) | − | 1.64135e6i | − | 0.311998i | ||||||
\(489\) | −1.97120e6 | −0.372786 | ||||||||
\(490\) | −2.60992e6 | − | 1.93472e6i | −0.491063 | − | 0.364022i | ||||
\(491\) | −2.27547e6 | −0.425958 | −0.212979 | − | 0.977057i | \(-0.568317\pi\) | ||||
−0.212979 | + | 0.977057i | \(0.568317\pi\) | |||||||
\(492\) | − | 1.49965e6i | − | 0.279304i | ||||||
\(493\) | − | 409922.i | − | 0.0759598i | ||||||
\(494\) | −3.06062e6 | −0.564277 | ||||||||
\(495\) | −3.27202e6 | + | 4.41393e6i | −0.600209 | + | 0.809679i | ||||
\(496\) | −100709. | −0.0183807 | ||||||||
\(497\) | − | 994528.i | − | 0.180603i | ||||||
\(498\) | − | 1.00242e6i | − | 0.181125i | ||||||
\(499\) | 1.78996e6 | 0.321804 | 0.160902 | − | 0.986970i | \(-0.448560\pi\) | ||||
0.160902 | + | 0.986970i | \(0.448560\pi\) | |||||||
\(500\) | 2.63235e6 | + | 939812.i | 0.470889 | + | 0.168119i | ||||
\(501\) | 3.02092e6 | 0.537706 | ||||||||
\(502\) | 1.85614e6i | 0.328739i | ||||||||
\(503\) | 5.19307e6i | 0.915176i | 0.889164 | + | 0.457588i | \(0.151286\pi\) | ||||
−0.889164 | + | 0.457588i | \(0.848714\pi\) | |||||||
\(504\) | −661110. | −0.115930 | ||||||||
\(505\) | −587441. | + | 792454.i | −0.102503 | + | 0.138276i | ||||
\(506\) | 960908. | 0.166842 | ||||||||
\(507\) | − | 3.05141e6i | − | 0.527207i | ||||||
\(508\) | − | 4.34510e6i | − | 0.747034i | ||||||
\(509\) | 2.76160e6 | 0.472462 | 0.236231 | − | 0.971697i | \(-0.424088\pi\) | ||||
0.236231 | + | 0.971697i | \(0.424088\pi\) | |||||||
\(510\) | 58024.6 | + | 43013.2i | 0.00987840 | + | 0.00732278i | ||||
\(511\) | −2.24416e6 | −0.380190 | ||||||||
\(512\) | − | 262144.i | − | 0.0441942i | ||||||
\(513\) | − | 1.84594e6i | − | 0.309687i | ||||||
\(514\) | 2.88969e6 | 0.482440 | ||||||||
\(515\) | −7.69889e6 | − | 5.70713e6i | −1.27912 | − | 0.948199i | ||||
\(516\) | 904376. | 0.149529 | ||||||||
\(517\) | − | 1.02455e7i | − | 1.68580i | ||||||
\(518\) | 2.55596e6i | 0.418533i | ||||||||
\(519\) | −225755. | −0.0367890 | ||||||||
\(520\) | −2.09117e6 | + | 2.82098e6i | −0.339142 | + | 0.457501i | ||||
\(521\) | 87258.4 | 0.0140836 | 0.00704178 | − | 0.999975i | \(-0.497759\pi\) | ||||
0.00704178 | + | 0.999975i | \(0.497759\pi\) | |||||||
\(522\) | 5.66243e6i | 0.909551i | ||||||||
\(523\) | 4.39249e6i | 0.702194i | 0.936339 | + | 0.351097i | \(0.114191\pi\) | ||||
−0.936339 | + | 0.351097i | \(0.885809\pi\) | |||||||
\(524\) | 4.83934e6 | 0.769943 | ||||||||
\(525\) | 223476. | + | 735478.i | 0.0353861 | + | 0.116458i | ||||
\(526\) | −1.39458e6 | −0.219775 | ||||||||
\(527\) | − | 24655.7i | − | 0.00386715i | ||||||
\(528\) | − | 599156.i | − | 0.0935309i | ||||||
\(529\) | −279841. | −0.0434783 | ||||||||
\(530\) | −207737. | + | 280236.i | −0.0321236 | + | 0.0433345i | ||||
\(531\) | −3.63876e6 | −0.560037 | ||||||||
\(532\) | 595302.i | 0.0911924i | ||||||||
\(533\) | 1.78496e7i | 2.72151i | ||||||||
\(534\) | 2.01170e6 | 0.305288 | ||||||||
\(535\) | −2.65130e6 | − | 1.96539e6i | −0.400474 | − | 0.296868i | ||||
\(536\) | −2.94426e6 | −0.442654 | ||||||||
\(537\) | 3.95015e6i | 0.591123i | ||||||||
\(538\) | − | 6.06841e6i | − | 0.903898i | ||||||
\(539\) | −6.59791e6 | −0.978216 | ||||||||
\(540\) | −1.70141e6 | − | 1.26124e6i | −0.251086 | − | 0.186129i | ||||
\(541\) | 5.93941e6 | 0.872469 | 0.436234 | − | 0.899833i | \(-0.356312\pi\) | ||||
0.436234 | + | 0.899833i | \(0.356312\pi\) | |||||||
\(542\) | − | 2.93205e6i | − | 0.428719i | ||||||
\(543\) | 1.76426e6i | 0.256780i | ||||||||
\(544\) | 64178.6 | 0.00929808 | ||||||||
\(545\) | 6.18022e6 | − | 8.33709e6i | 0.891277 | − | 1.20233i | ||||
\(546\) | −965714. | −0.138633 | ||||||||
\(547\) | − | 7.11819e6i | − | 1.01719i | −0.861007 | − | 0.508594i | \(-0.830166\pi\) | ||
0.861007 | − | 0.508594i | \(-0.169834\pi\) | |||||||
\(548\) | 4.65422e6i | 0.662058i | ||||||||
\(549\) | −5.55078e6 | −0.786001 | ||||||||
\(550\) | 5.43125e6 | − | 1.65029e6i | 0.765585 | − | 0.232624i | ||||
\(551\) | 5.09879e6 | 0.715464 | ||||||||
\(552\) | 174490.i | 0.0243737i | ||||||||
\(553\) | 4.13675e6i | 0.575237i | ||||||||
\(554\) | −460426. | −0.0637361 | ||||||||
\(555\) | −2.29712e6 | + | 3.09881e6i | −0.316557 | + | 0.427034i | ||||
\(556\) | 5.04523e6 | 0.692140 | ||||||||
\(557\) | − | 4.09500e6i | − | 0.559262i | −0.960108 | − | 0.279631i | \(-0.909788\pi\) | ||
0.960108 | − | 0.279631i | \(-0.0902122\pi\) | |||||||
\(558\) | 340580.i | 0.0463056i | ||||||||
\(559\) | −1.07644e7 | −1.45700 | ||||||||
\(560\) | 548692. | + | 406741.i | 0.0739364 | + | 0.0548085i | ||||
\(561\) | 146687. | 0.0196781 | ||||||||
\(562\) | − | 4.41127e6i | − | 0.589146i | ||||||
\(563\) | − | 6.45950e6i | − | 0.858871i | −0.903097 | − | 0.429436i | \(-0.858712\pi\) | ||
0.903097 | − | 0.429436i | \(-0.141288\pi\) | |||||||
\(564\) | 1.86046e6 | 0.246276 | ||||||||
\(565\) | 816356. | + | 605159.i | 0.107587 | + | 0.0797532i | ||||
\(566\) | −8.75105e6 | −1.14820 | ||||||||
\(567\) | 1.92771e6i | 0.251816i | ||||||||
\(568\) | − | 1.33363e6i | − | 0.173446i | ||||||
\(569\) | 5.79214e6 | 0.749995 | 0.374997 | − | 0.927026i | \(-0.377644\pi\) | ||||
0.374997 | + | 0.927026i | \(0.377644\pi\) | |||||||
\(570\) | −535016. | + | 721735.i | −0.0689731 | + | 0.0930444i | ||||
\(571\) | 9.17311e6 | 1.17741 | 0.588703 | − | 0.808350i | \(-0.299639\pi\) | ||||
0.588703 | + | 0.808350i | \(0.299639\pi\) | |||||||
\(572\) | 7.13147e6i | 0.911358i | ||||||||
\(573\) | − | 2.89170e6i | − | 0.367932i | ||||||
\(574\) | 3.47182e6 | 0.439822 | ||||||||
\(575\) | −1.58172e6 | + | 480608.i | −0.199508 | + | 0.0606207i | ||||
\(576\) | −886528. | −0.111336 | ||||||||
\(577\) | − | 3.11516e6i | − | 0.389529i | −0.980850 | − | 0.194765i | \(-0.937606\pi\) | ||
0.980850 | − | 0.194765i | \(-0.0623943\pi\) | |||||||
\(578\) | − | 5.66372e6i | − | 0.705151i | ||||||
\(579\) | 1.69607e6 | 0.210255 | ||||||||
\(580\) | 3.48375e6 | − | 4.69957e6i | 0.430009 | − | 0.580080i | ||||
\(581\) | 2.32070e6 | 0.285219 | ||||||||
\(582\) | 3.50078e6i | 0.428408i | ||||||||
\(583\) | 708439.i | 0.0863239i | ||||||||
\(584\) | −3.00934e6 | −0.365123 | ||||||||
\(585\) | 9.54010e6 | + | 7.07201e6i | 1.15256 | + | 0.854384i | ||||
\(586\) | 5.22888e6 | 0.629020 | ||||||||
\(587\) | 1.29305e7i | 1.54889i | 0.632640 | + | 0.774446i | \(0.281971\pi\) | ||||
−0.632640 | + | 0.774446i | \(0.718029\pi\) | |||||||
\(588\) | − | 1.19810e6i | − | 0.142906i | ||||||
\(589\) | 306678. | 0.0364246 | ||||||||
\(590\) | 3.02001e6 | + | 2.23871e6i | 0.357172 | + | 0.264769i | ||||
\(591\) | −1.36382e6 | −0.160616 | ||||||||
\(592\) | 3.42747e6i | 0.401947i | ||||||||
\(593\) | 532524.i | 0.0621874i | 0.999516 | + | 0.0310937i | \(0.00989903\pi\) | ||||
−0.999516 | + | 0.0310937i | \(0.990101\pi\) | |||||||
\(594\) | −4.30117e6 | −0.500173 | ||||||||
\(595\) | −99579.2 | + | 134332.i | −0.0115312 | + | 0.0155556i | ||||
\(596\) | 6.80684e6 | 0.784928 | ||||||||
\(597\) | − | 254758.i | − | 0.0292545i | ||||||
\(598\) | − | 2.07687e6i | − | 0.237496i | ||||||
\(599\) | −1.08520e6 | −0.123578 | −0.0617892 | − | 0.998089i | \(-0.519681\pi\) | ||||
−0.0617892 | + | 0.998089i | \(0.519681\pi\) | |||||||
\(600\) | 299674. | + | 986252.i | 0.0339837 | + | 0.111843i | ||||
\(601\) | −1.02764e7 | −1.16053 | −0.580264 | − | 0.814429i | \(-0.697051\pi\) | ||||
−0.580264 | + | 0.814429i | \(0.697051\pi\) | |||||||
\(602\) | 2.09371e6i | 0.235464i | ||||||||
\(603\) | 9.95702e6i | 1.11516i | ||||||||
\(604\) | 3.00356e6 | 0.334999 | ||||||||
\(605\) | 1.50371e6 | − | 2.02849e6i | 0.167022 | − | 0.225312i | ||||
\(606\) | −363782. | −0.0402402 | ||||||||
\(607\) | − | 8.62437e6i | − | 0.950070i | −0.879967 | − | 0.475035i | \(-0.842435\pi\) | ||
0.879967 | − | 0.475035i | \(-0.157565\pi\) | |||||||
\(608\) | 798282.i | 0.0875784i | ||||||||
\(609\) | 1.60881e6 | 0.175777 | ||||||||
\(610\) | 4.60690e6 | + | 3.41506e6i | 0.501284 | + | 0.371598i | ||||
\(611\) | −2.21441e7 | −2.39969 | ||||||||
\(612\) | − | 217042.i | − | 0.0234242i | ||||||
\(613\) | − | 1.62760e7i | − | 1.74943i | −0.484639 | − | 0.874714i | \(-0.661049\pi\) | ||
0.484639 | − | 0.874714i | \(-0.338951\pi\) | |||||||
\(614\) | −1.26409e7 | −1.35318 | ||||||||
\(615\) | 4.20917e6 | + | 3.12023e6i | 0.448755 | + | 0.332658i | ||||
\(616\) | 1.38710e6 | 0.147284 | ||||||||
\(617\) | 5.40371e6i | 0.571451i | 0.958312 | + | 0.285725i | \(0.0922345\pi\) | ||||
−0.958312 | + | 0.285725i | \(0.907765\pi\) | |||||||
\(618\) | − | 3.53423e6i | − | 0.372241i | ||||||
\(619\) | 3.18243e6 | 0.333835 | 0.166917 | − | 0.985971i | \(-0.446619\pi\) | ||||
0.166917 | + | 0.985971i | \(0.446619\pi\) | |||||||
\(620\) | 209538. | − | 282666.i | 0.0218919 | − | 0.0295321i | ||||
\(621\) | 1.25261e6 | 0.130343 | ||||||||
\(622\) | 1.12904e7i | 1.17013i | ||||||||
\(623\) | 4.65726e6i | 0.480740i | ||||||||
\(624\) | −1.29499e6 | −0.133139 | ||||||||
\(625\) | −8.11480e6 | + | 5.43299e6i | −0.830956 | + | 0.556338i | ||||
\(626\) | 5.40882e6 | 0.551654 | ||||||||
\(627\) | 1.82455e6i | 0.185348i | ||||||||
\(628\) | 743172.i | 0.0751953i | ||||||||
\(629\) | −839119. | −0.0845663 | ||||||||
\(630\) | 1.37553e6 | − | 1.85559e6i | 0.138076 | − | 0.186264i | ||||
\(631\) | 1.02411e7 | 1.02393 | 0.511966 | − | 0.859006i | \(-0.328917\pi\) | ||||
0.511966 | + | 0.859006i | \(0.328917\pi\) | |||||||
\(632\) | 5.54726e6i | 0.552441i | ||||||||
\(633\) | − | 4.59686e6i | − | 0.455987i | ||||||
\(634\) | 110564. | 0.0109242 | ||||||||
\(635\) | 1.21957e7 | + | 9.04058e6i | 1.20025 | + | 0.889738i | ||||
\(636\) | −128644. | −0.0126109 | ||||||||
\(637\) | 1.42605e7i | 1.39247i | ||||||||
\(638\) | − | 1.18806e7i | − | 1.15554i | ||||||
\(639\) | −4.51012e6 | −0.436954 | ||||||||
\(640\) | 735779. | + | 545427.i | 0.0710063 | + | 0.0526365i | ||||
\(641\) | −2.49786e6 | −0.240117 | −0.120059 | − | 0.992767i | \(-0.538308\pi\) | ||||
−0.120059 | + | 0.992767i | \(0.538308\pi\) | |||||||
\(642\) | − | 1.21710e6i | − | 0.116543i | ||||||
\(643\) | 7.82876e6i | 0.746733i | 0.927684 | + | 0.373367i | \(0.121797\pi\) | ||||
−0.927684 | + | 0.373367i | \(0.878203\pi\) | |||||||
\(644\) | −403959. | −0.0383815 | ||||||||
\(645\) | −1.88168e6 | + | 2.53838e6i | −0.178093 | + | 0.240246i | ||||
\(646\) | −195437. | −0.0184258 | ||||||||
\(647\) | 1.44592e7i | 1.35795i | 0.734160 | + | 0.678977i | \(0.237576\pi\) | ||||
−0.734160 | + | 0.678977i | \(0.762424\pi\) | |||||||
\(648\) | 2.58499e6i | 0.241837i | ||||||||
\(649\) | 7.63461e6 | 0.711500 | ||||||||
\(650\) | −3.56688e6 | − | 1.17389e7i | −0.331135 | − | 1.08979i | ||||
\(651\) | 96765.8 | 0.00894890 | ||||||||
\(652\) | − | 6.11952e6i | − | 0.563765i | ||||||
\(653\) | 4.86495e6i | 0.446473i | 0.974764 | + | 0.223236i | \(0.0716622\pi\) | ||||
−0.974764 | + | 0.223236i | \(0.928338\pi\) | |||||||
\(654\) | 3.82720e6 | 0.349894 | ||||||||
\(655\) | −1.00689e7 | + | 1.35829e7i | −0.917023 | + | 1.23706i | ||||
\(656\) | 4.65560e6 | 0.422392 | ||||||||
\(657\) | 1.01771e7i | 0.919837i | ||||||||
\(658\) | 4.30712e6i | 0.387813i | ||||||||
\(659\) | 8.41470e6 | 0.754788 | 0.377394 | − | 0.926053i | \(-0.376820\pi\) | ||||
0.377394 | + | 0.926053i | \(0.376820\pi\) | |||||||
\(660\) | 1.68170e6 | + | 1.24663e6i | 0.150275 | + | 0.111398i | ||||
\(661\) | −7.10332e6 | −0.632351 | −0.316175 | − | 0.948701i | \(-0.602399\pi\) | ||||
−0.316175 | + | 0.948701i | \(0.602399\pi\) | |||||||
\(662\) | − | 1.03359e7i | − | 0.916652i | ||||||
\(663\) | − | 317043.i | − | 0.0280113i | ||||||
\(664\) | 3.11198e6 | 0.273916 | ||||||||
\(665\) | −1.67088e6 | − | 1.23861e6i | −0.146518 | − | 0.108613i | ||||
\(666\) | 1.15911e7 | 1.01261 | ||||||||
\(667\) | 3.45992e6i | 0.301128i | ||||||||
\(668\) | 9.37831e6i | 0.813174i | ||||||||
\(669\) | −3.08106e6 | −0.266155 | ||||||||
\(670\) | 6.12595e6 | − | 8.26388e6i | 0.527213 | − | 0.711208i | ||||
\(671\) | 1.16463e7 | 0.998577 | ||||||||
\(672\) | 251881.i | 0.0215165i | ||||||||
\(673\) | − | 2.28964e6i | − | 0.194863i | −0.995242 | − | 0.0974315i | \(-0.968937\pi\) | ||
0.995242 | − | 0.0974315i | \(-0.0310627\pi\) | |||||||
\(674\) | −76629.4 | −0.00649749 | ||||||||
\(675\) | 7.08002e6 | − | 2.15127e6i | 0.598102 | − | 0.181734i | ||||
\(676\) | 9.47299e6 | 0.797298 | ||||||||
\(677\) | − | 1.52700e7i | − | 1.28046i | −0.768183 | − | 0.640230i | \(-0.778839\pi\) | ||
0.768183 | − | 0.640230i | \(-0.221161\pi\) | |||||||
\(678\) | 374754.i | 0.0313092i | ||||||||
\(679\) | −8.10460e6 | −0.674617 | ||||||||
\(680\) | −133533. | + | 180135.i | −0.0110743 | + | 0.0149391i | ||||
\(681\) | −1.18755e6 | −0.0981256 | ||||||||
\(682\) | − | 714583.i | − | 0.0588290i | ||||||
\(683\) | − | 1.11283e6i | − | 0.0912803i | −0.998958 | − | 0.0456402i | \(-0.985467\pi\) | ||
0.998958 | − | 0.0456402i | \(-0.0145328\pi\) | |||||||
\(684\) | 2.69966e6 | 0.220632 | ||||||||
\(685\) | −1.30633e7 | − | 9.68376e6i | −1.06372 | − | 0.788529i | ||||
\(686\) | 5.98229e6 | 0.485352 | ||||||||
\(687\) | − | 3.75482e6i | − | 0.303527i | ||||||
\(688\) | 2.80760e6i | 0.226133i | ||||||||
\(689\) | 1.53119e6 | 0.122880 | ||||||||
\(690\) | −489753. | − | 363050.i | −0.0391610 | − | 0.0290298i | ||||
\(691\) | 1.47185e7 | 1.17265 | 0.586324 | − | 0.810077i | \(-0.300575\pi\) | ||||
0.586324 | + | 0.810077i | \(0.300575\pi\) | |||||||
\(692\) | − | 700846.i | − | 0.0556362i | ||||||
\(693\) | − | 4.69094e6i | − | 0.371045i | ||||||
\(694\) | 1.14346e7 | 0.901203 | ||||||||
\(695\) | −1.04973e7 | + | 1.41608e7i | −0.824358 | + | 1.11205i | ||||
\(696\) | 2.15737e6 | 0.168811 | ||||||||
\(697\) | 1.13979e6i | 0.0888677i | ||||||||
\(698\) | 7.58502e6i | 0.589275i | ||||||||
\(699\) | 4.61517e6 | 0.357269 | ||||||||
\(700\) | −2.28326e6 | + | 693771.i | −0.176121 | + | 0.0535145i | ||||
\(701\) | 1.61884e7 | 1.24426 | 0.622128 | − | 0.782916i | \(-0.286268\pi\) | ||||
0.622128 | + | 0.782916i | \(0.286268\pi\) | |||||||
\(702\) | 9.29638e6i | 0.711985i | ||||||||
\(703\) | − | 1.04373e7i | − | 0.796528i | ||||||
\(704\) | 1.86006e6 | 0.141447 | ||||||||
\(705\) | −3.87094e6 | + | 5.22188e6i | −0.293322 | + | 0.395689i | ||||
\(706\) | −3.46930e6 | −0.261957 | ||||||||
\(707\) | − | 842187.i | − | 0.0633665i | ||||||
\(708\) | 1.38636e6i | 0.103942i | ||||||||
\(709\) | 1.12554e7 | 0.840905 | 0.420453 | − | 0.907314i | \(-0.361871\pi\) | ||||
0.420453 | + | 0.907314i | \(0.361871\pi\) | |||||||
\(710\) | 3.74320e6 | + | 2.77480e6i | 0.278674 | + | 0.206579i | ||||
\(711\) | 1.87599e7 | 1.39174 | ||||||||
\(712\) | 6.24524e6i | 0.461688i | ||||||||
\(713\) | 208105.i | 0.0153306i | ||||||||
\(714\) | −61666.0 | −0.00452690 | ||||||||
\(715\) | −2.00164e7 | − | 1.48380e7i | −1.46427 | − | 1.08545i | ||||
\(716\) | −1.22631e7 | −0.893957 | ||||||||
\(717\) | − | 1.40111e6i | − | 0.101783i | ||||||
\(718\) | − | 9.96694e6i | − | 0.721524i | ||||||
\(719\) | 4.29127e6 | 0.309574 | 0.154787 | − | 0.987948i | \(-0.450531\pi\) | ||||
0.154787 | + | 0.987948i | \(0.450531\pi\) | |||||||
\(720\) | 1.84455e6 | − | 2.48828e6i | 0.132604 | − | 0.178883i | ||||
\(721\) | 8.18205e6 | 0.586171 | ||||||||
\(722\) | 7.47347e6i | 0.533555i | ||||||||
\(723\) | 4.64750e6i | 0.330654i | ||||||||
\(724\) | −5.47706e6 | −0.388330 | ||||||||
\(725\) | 5.94218e6 | + | 1.95562e7i | 0.419856 | + | 1.38178i | ||||
\(726\) | 931195. | 0.0655691 | ||||||||
\(727\) | − | 8.16127e6i | − | 0.572693i | −0.958126 | − | 0.286346i | \(-0.907559\pi\) | ||
0.958126 | − | 0.286346i | \(-0.0924408\pi\) | |||||||
\(728\) | − | 2.99802e6i | − | 0.209655i | ||||||
\(729\) | 5.77651e6 | 0.402575 | ||||||||
\(730\) | 6.26136e6 | − | 8.44654e6i | 0.434872 | − | 0.586640i | ||||
\(731\) | −687362. | −0.0475764 | ||||||||
\(732\) | 2.11483e6i | 0.145881i | ||||||||
\(733\) | − | 1.67910e7i | − | 1.15429i | −0.816641 | − | 0.577146i | \(-0.804166\pi\) | ||
0.816641 | − | 0.577146i | \(-0.195834\pi\) | |||||||
\(734\) | −1.53742e6 | −0.105330 | ||||||||
\(735\) | 3.36281e6 | + | 2.49282e6i | 0.229606 | + | 0.170205i | ||||
\(736\) | −541696. | −0.0368605 | ||||||||
\(737\) | − | 2.08912e7i | − | 1.41675i | ||||||
\(738\) | − | 1.57445e7i | − | 1.06411i | ||||||
\(739\) | −2.61646e7 | −1.76239 | −0.881196 | − | 0.472751i | \(-0.843261\pi\) | ||||
−0.881196 | + | 0.472751i | \(0.843261\pi\) | |||||||
\(740\) | −9.62012e6 | − | 7.13132e6i | −0.645804 | − | 0.478730i | ||||
\(741\) | 3.94352e6 | 0.263838 | ||||||||
\(742\) | − | 297823.i | − | 0.0198586i | ||||||
\(743\) | 5.75330e6i | 0.382336i | 0.981557 | + | 0.191168i | \(0.0612275\pi\) | ||||
−0.981557 | + | 0.191168i | \(0.938773\pi\) | |||||||
\(744\) | 129760. | 0.00859426 | ||||||||
\(745\) | −1.41626e7 | + | 1.91052e7i | −0.934871 | + | 1.26114i | ||||
\(746\) | −172280. | −0.0113341 | ||||||||
\(747\) | − | 1.05242e7i | − | 0.690063i | ||||||
\(748\) | 455383.i | 0.0297593i | ||||||||
\(749\) | 2.81769e6 | 0.183522 | ||||||||
\(750\) | −3.39170e6 | − | 1.21092e6i | −0.220173 | − | 0.0786071i | ||||
\(751\) | 2.82333e6 | 0.182668 | 0.0913339 | − | 0.995820i | \(-0.470887\pi\) | ||||
0.0913339 | + | 0.995820i | \(0.470887\pi\) | |||||||
\(752\) | 5.77572e6i | 0.372444i | ||||||||
\(753\) | − | 2.39158e6i | − | 0.153708i | ||||||
\(754\) | −2.56782e7 | −1.64488 | ||||||||
\(755\) | −6.24932e6 | + | 8.43030e6i | −0.398993 | + | 0.538239i | ||||
\(756\) | 1.80818e6 | 0.115063 | ||||||||
\(757\) | − | 2.09725e6i | − | 0.133018i | −0.997786 | − | 0.0665089i | \(-0.978814\pi\) | ||
0.997786 | − | 0.0665089i | \(-0.0211861\pi\) | |||||||
\(758\) | 1.05322e7i | 0.665803i | ||||||||
\(759\) | −1.23810e6 | −0.0780102 | ||||||||
\(760\) | −2.24060e6 | − | 1.66094e6i | −0.140711 | − | 0.104308i | ||||
\(761\) | −8.97561e6 | −0.561827 | −0.280913 | − | 0.959733i | \(-0.590637\pi\) | ||||
−0.280913 | + | 0.959733i | \(0.590637\pi\) | |||||||
\(762\) | 5.59853e6i | 0.349290i | ||||||||
\(763\) | 8.86030e6i | 0.550982i | ||||||||
\(764\) | 8.97718e6 | 0.556425 | ||||||||
\(765\) | 609187. | + | 451585.i | 0.0376354 | + | 0.0278989i | ||||
\(766\) | −5.00425e6 | −0.308154 | ||||||||
\(767\) | − | 1.65011e7i | − | 1.01280i | ||||||
\(768\) | 337765.i | 0.0206638i | ||||||||
\(769\) | 2.44757e7 | 1.49252 | 0.746259 | − | 0.665655i | \(-0.231848\pi\) | ||||
0.746259 | + | 0.665655i | \(0.231848\pi\) | |||||||
\(770\) | −2.88605e6 | + | 3.89327e6i | −0.175419 | + | 0.236640i | ||||
\(771\) | −3.72328e6 | −0.225574 | ||||||||
\(772\) | 5.26538e6i | 0.317970i | ||||||||
\(773\) | 3.21038e7i | 1.93245i | 0.257701 | + | 0.966225i | \(0.417035\pi\) | ||||
−0.257701 | + | 0.966225i | \(0.582965\pi\) | |||||||
\(774\) | 9.49483e6 | 0.569685 | ||||||||
\(775\) | 357406. | + | 1.17625e6i | 0.0213751 | + | 0.0703471i | ||||
\(776\) | −1.08680e7 | −0.647882 | ||||||||
\(777\) | − | 3.29328e6i | − | 0.195693i | ||||||
\(778\) | − | 2.01080e7i | − | 1.19102i | ||||||
\(779\) | −1.41772e7 | −0.837044 | ||||||||
\(780\) | 2.69441e6 | − | 3.63475e6i | 0.158572 | − | 0.213913i | ||||
\(781\) | 9.46284e6 | 0.555129 | ||||||||
\(782\) | − | 132619.i | − | 0.00775513i | ||||||
\(783\) | − | 1.54871e7i | − | 0.902749i | ||||||
\(784\) | 3.71947e6 | 0.216118 | ||||||||
\(785\) | −2.08592e6 | − | 1.54627e6i | −0.120815 | − | 0.0895596i | ||||
\(786\) | −6.23535e6 | −0.360001 | ||||||||
\(787\) | − | 1.17100e7i | − | 0.673940i | −0.941515 | − | 0.336970i | \(-0.890598\pi\) | ||
0.941515 | − | 0.336970i | \(-0.109402\pi\) | |||||||
\(788\) | − | 4.23393e6i | − | 0.242900i | ||||||
\(789\) | 1.79687e6 | 0.102760 | ||||||||
\(790\) | −1.55699e7 | − | 1.15418e7i | −0.887601 | − | 0.657972i | ||||
\(791\) | −867588. | −0.0493029 | ||||||||
\(792\) | − | 6.29041e6i | − | 0.356341i | ||||||
\(793\) | − | 2.51718e7i | − | 1.42145i | ||||||
\(794\) | −5.72018e6 | −0.322002 | ||||||||
\(795\) | 267662. | − | 361075.i | 0.0150200 | − | 0.0202619i | ||||
\(796\) | 790886. | 0.0442416 | ||||||||
\(797\) | − | 3.52707e7i | − | 1.96684i | −0.181347 | − | 0.983419i | \(-0.558046\pi\) | ||
0.181347 | − | 0.983419i | \(-0.441954\pi\) | |||||||
\(798\) | − | 767029.i | − | 0.0426387i | ||||||
\(799\) | −1.41402e6 | −0.0783591 | ||||||||
\(800\) | −3.06178e6 | + | 930326.i | −0.169141 | + | 0.0513937i | ||||
\(801\) | 2.11204e7 | 1.16311 | ||||||||
\(802\) | 1.28225e7i | 0.703942i | ||||||||
\(803\) | − | 2.13530e7i | − | 1.16861i | ||||||
\(804\) | 3.79359e6 | 0.206972 | ||||||||
\(805\) | 840492. | − | 1.13382e6i | 0.0457135 | − | 0.0616672i | ||||
\(806\) | −1.54447e6 | −0.0837418 | ||||||||
\(807\) | 7.81896e6i | 0.422635i | ||||||||
\(808\) | − | 1.12935e6i | − | 0.0608553i | ||||||
\(809\) | −19341.9 | −0.00103903 | −0.000519515 | − | 1.00000i | \(-0.500165\pi\) | ||||
−0.000519515 | 1.00000i | \(0.500165\pi\) | ||||||||
\(810\) | −7.25549e6 | − | 5.37844e6i | −0.388557 | − | 0.288034i | ||||
\(811\) | 1.59463e7 | 0.851347 | 0.425674 | − | 0.904877i | \(-0.360037\pi\) | ||||
0.425674 | + | 0.904877i | \(0.360037\pi\) | |||||||
\(812\) | 4.99450e6i | 0.265829i | ||||||||
\(813\) | 3.77785e6i | 0.200456i | ||||||||
\(814\) | −2.43198e7 | −1.28647 | ||||||||
\(815\) | 1.71761e7 | + | 1.27325e7i | 0.905796 | + | 0.671460i | ||||
\(816\) | −82692.2 | −0.00434750 | ||||||||
\(817\) | − | 8.54970e6i | − | 0.448122i | ||||||
\(818\) | 1.46707e7i | 0.766600i | ||||||||
\(819\) | −1.01388e7 | −0.528174 | ||||||||
\(820\) | −9.68662e6 | + | 1.30672e7i | −0.503081 | + | 0.678653i | ||||
\(821\) | −1.92344e7 | −0.995914 | −0.497957 | − | 0.867202i | \(-0.665916\pi\) | ||||
−0.497957 | + | 0.867202i | \(0.665916\pi\) | |||||||
\(822\) | − | 5.99682e6i | − | 0.309558i | ||||||
\(823\) | 3.02552e7i | 1.55704i | 0.627617 | + | 0.778522i | \(0.284030\pi\) | ||||
−0.627617 | + | 0.778522i | \(0.715970\pi\) | |||||||
\(824\) | 1.09719e7 | 0.562941 | ||||||||
\(825\) | −6.99800e6 | + | 2.12635e6i | −0.357964 | + | 0.108768i | ||||
\(826\) | −3.20953e6 | −0.163679 | ||||||||
\(827\) | 1.75000e7i | 0.889763i | 0.895589 | + | 0.444882i | \(0.146754\pi\) | ||||
−0.895589 | + | 0.444882i | \(0.853246\pi\) | |||||||
\(828\) | 1.83193e6i | 0.0928608i | ||||||||
\(829\) | −3.01168e7 | −1.52203 | −0.761013 | − | 0.648737i | \(-0.775298\pi\) | ||||
−0.761013 | + | 0.648737i | \(0.775298\pi\) | |||||||
\(830\) | −6.47492e6 | + | 8.73463e6i | −0.326241 | + | 0.440098i | ||||
\(831\) | 593245. | 0.0298010 | ||||||||
\(832\) | − | 4.02025e6i | − | 0.201347i | ||||||
\(833\) | 910607.i | 0.0454693i | ||||||||
\(834\) | −6.50063e6 | −0.323624 | ||||||||
\(835\) | −2.63228e7 | − | 1.95129e7i | −1.30652 | − | 0.968513i | ||||
\(836\) | −5.66425e6 | −0.280302 | ||||||||
\(837\) | − | 931509.i | − | 0.0459593i | ||||||
\(838\) | − | 7.65837e6i | − | 0.376726i | ||||||
\(839\) | 2.73092e6 | 0.133938 | 0.0669690 | − | 0.997755i | \(-0.478667\pi\) | ||||
0.0669690 | + | 0.997755i | \(0.478667\pi\) | |||||||
\(840\) | −706973. | − | 524074.i | −0.0345704 | − | 0.0256268i | ||||
\(841\) | 2.22669e7 | 1.08560 | ||||||||
\(842\) | 1.37624e7i | 0.668980i | ||||||||
\(843\) | 5.68379e6i | 0.275466i | ||||||||
\(844\) | 1.42708e7 | 0.689591 | ||||||||
\(845\) | −1.97099e7 | + | 2.65885e7i | −0.949603 | + | 1.28101i | ||||
\(846\) | 1.95325e7 | 0.938280 | ||||||||
\(847\) | 2.15580e6i | 0.103252i | ||||||||
\(848\) | − | 399371.i | − | 0.0190716i | ||||||
\(849\) | 1.12755e7 | 0.536865 | ||||||||
\(850\) | −227764. | − | 749591.i | −0.0108128 | − | 0.0355858i | ||||
\(851\) | 7.08254e6 | 0.335247 | ||||||||
\(852\) | 1.71834e6i | 0.0810981i | ||||||||
\(853\) | − | 8.15836e6i | − | 0.383911i | −0.981404 | − | 0.191955i | \(-0.938517\pi\) | ||
0.981404 | − | 0.191955i | \(-0.0614829\pi\) | |||||||
\(854\) | −4.89602e6 | −0.229720 | ||||||||
\(855\) | −5.61702e6 | + | 7.57733e6i | −0.262779 | + | 0.354487i | ||||
\(856\) | 3.77843e6 | 0.176249 | ||||||||
\(857\) | − | 1.09824e7i | − | 0.510792i | −0.966837 | − | 0.255396i | \(-0.917794\pi\) | ||
0.966837 | − | 0.255396i | \(-0.0822058\pi\) | |||||||
\(858\) | − | 9.18868e6i | − | 0.426123i | ||||||
\(859\) | 6.02173e6 | 0.278444 | 0.139222 | − | 0.990261i | \(-0.455540\pi\) | ||||
0.139222 | + | 0.990261i | \(0.455540\pi\) | |||||||
\(860\) | −7.88028e6 | − | 5.84160e6i | −0.363325 | − | 0.269330i | ||||
\(861\) | −4.47333e6 | −0.205647 | ||||||||
\(862\) | 2.10467e7i | 0.964754i | ||||||||
\(863\) | − | 2.07350e7i | − | 0.947716i | −0.880601 | − | 0.473858i | \(-0.842861\pi\) | ||
0.880601 | − | 0.473858i | \(-0.157139\pi\) | |||||||
\(864\) | 2.42471e6 | 0.110504 | ||||||||
\(865\) | 1.96711e6 | + | 1.45821e6i | 0.0893901 | + | 0.0662642i | ||||
\(866\) | −1.46843e7 | −0.665365 | ||||||||
\(867\) | 7.29752e6i | 0.329707i | ||||||||
\(868\) | 300406.i | 0.0135335i | ||||||||
\(869\) | −3.93608e7 | −1.76813 | ||||||||
\(870\) | −4.48871e6 | + | 6.05525e6i | −0.201059 | + | 0.271228i | ||||
\(871\) | −4.51533e7 | −2.01671 | ||||||||
\(872\) | 1.18814e7i | 0.529147i | ||||||||
\(873\) | 3.67539e7i | 1.63218i | ||||||||
\(874\) | 1.64957e6 | 0.0730455 | ||||||||
\(875\) | 2.80338e6 | − | 7.85208e6i | 0.123783 | − | 0.346708i | ||||
\(876\) | 3.87745e6 | 0.170721 | ||||||||
\(877\) | − | 1.22456e7i | − | 0.537628i | −0.963192 | − | 0.268814i | \(-0.913368\pi\) | ||
0.963192 | − | 0.268814i | \(-0.0866317\pi\) | |||||||
\(878\) | 4.22569e6i | 0.184995i | ||||||||
\(879\) | −6.73725e6 | −0.294111 | ||||||||
\(880\) | −3.87011e6 | + | 5.22075e6i | −0.168468 | + | 0.227262i | ||||
\(881\) | 3.35119e7 | 1.45465 | 0.727326 | − | 0.686292i | \(-0.240763\pi\) | ||||
0.727326 | + | 0.686292i | \(0.240763\pi\) | |||||||
\(882\) | − | 1.25786e7i | − | 0.544455i | ||||||
\(883\) | − | 3.06726e7i | − | 1.32388i | −0.749556 | − | 0.661941i | \(-0.769733\pi\) | ||
0.749556 | − | 0.661941i | \(-0.230267\pi\) | |||||||
\(884\) | 984246. | 0.0423617 | ||||||||
\(885\) | −3.89119e6 | − | 2.88451e6i | −0.167003 | − | 0.123798i | ||||
\(886\) | 1.97099e7 | 0.843528 | ||||||||
\(887\) | 1.24883e7i | 0.532958i | 0.963841 | + | 0.266479i | \(0.0858603\pi\) | ||||
−0.963841 | + | 0.266479i | \(0.914140\pi\) | |||||||
\(888\) | − | 4.41618e6i | − | 0.187938i | ||||||
\(889\) | −1.29611e7 | −0.550030 | ||||||||
\(890\) | −1.75290e7 | − | 1.29941e7i | −0.741790 | − | 0.549883i | ||||
\(891\) | −1.83420e7 | −0.774019 | ||||||||
\(892\) | − | 9.56502e6i | − | 0.402507i | ||||||
\(893\) | − | 1.75882e7i | − | 0.738063i | ||||||
\(894\) | −8.77040e6 | −0.367008 | ||||||||
\(895\) | 2.55150e7 | − | 3.44196e7i | 1.06473 | − | 1.43631i | ||||
\(896\) | −781954. | −0.0325395 | ||||||||
\(897\) | 2.67598e6i | 0.111046i | ||||||||
\(898\) | − | 1.64399e7i | − | 0.680314i | ||||||
\(899\) | 2.57299e6 | 0.106179 | ||||||||
\(900\) | 3.14621e6 | + | 1.03544e7i | 0.129474 | + | 0.426109i | ||||
\(901\) | 97774.8 | 0.00401250 | ||||||||
\(902\) | 3.30340e7i | 1.35190i | ||||||||
\(903\) | − | 2.69768e6i | − | 0.110096i | ||||||
\(904\) | −1.16341e6 | −0.0473491 | ||||||||
\(905\) | 1.13958e7 | − | 1.53729e7i | 0.462512 | − | 0.623926i | ||||
\(906\) | −3.86999e6 | −0.156635 | ||||||||
\(907\) | − | 3.27276e7i | − | 1.32098i | −0.750835 | − | 0.660490i | \(-0.770349\pi\) | ||
0.750835 | − | 0.660490i | \(-0.229651\pi\) | |||||||
\(908\) | − | 3.68668e6i | − | 0.148396i | ||||||
\(909\) | −3.81926e6 | −0.153310 | ||||||||
\(910\) | 8.41476e6 | + | 6.23780e6i | 0.336851 | + | 0.249705i | ||||
\(911\) | −6.74533e6 | −0.269282 | −0.134641 | − | 0.990894i | \(-0.542988\pi\) | ||||
−0.134641 | + | 0.990894i | \(0.542988\pi\) | |||||||
\(912\) | − | 1.02856e6i | − | 0.0409490i | ||||||
\(913\) | 2.20812e7i | 0.876691i | ||||||||
\(914\) | −551358. | −0.0218307 | ||||||||
\(915\) | −5.93585e6 | − | 4.40020e6i | −0.234385 | − | 0.173748i | ||||
\(916\) | 1.16567e7 | 0.459025 | ||||||||
\(917\) | − | 1.44354e7i | − | 0.566897i | ||||||
\(918\) | 593624.i | 0.0232490i | ||||||||
\(919\) | 4.62049e7 | 1.80467 | 0.902337 | − | 0.431031i | \(-0.141850\pi\) | ||||
0.902337 | + | 0.431031i | \(0.141850\pi\) | |||||||
\(920\) | 1.12707e6 | − | 1.52042e6i | 0.0439019 | − | 0.0592234i | ||||
\(921\) | 1.62874e7 | 0.632705 | ||||||||
\(922\) | − | 3.55240e7i | − | 1.37624i | ||||||
\(923\) | − | 2.04526e7i | − | 0.790214i | ||||||
\(924\) | −1.78723e6 | −0.0688655 | ||||||||
\(925\) | 4.00320e7 | − | 1.21638e7i | 1.53834 | − | 0.467427i | ||||
\(926\) | 1.32987e6 | 0.0509660 | ||||||||
\(927\) | − | 3.71051e7i | − | 1.41819i | ||||||
\(928\) | 6.69747e6i | 0.255294i | ||||||||
\(929\) | 5.73732e6 | 0.218107 | 0.109054 | − | 0.994036i | \(-0.465218\pi\) | ||||
0.109054 | + | 0.994036i | \(0.465218\pi\) | |||||||
\(930\) | −269984. | + | 364207.i | −0.0102360 | + | 0.0138083i | ||||
\(931\) | −1.13265e7 | −0.428275 | ||||||||
\(932\) | 1.43276e7i | 0.540299i | ||||||||
\(933\) | − | 1.45473e7i | − | 0.547115i | ||||||
\(934\) | −9.95369e6 | −0.373351 | ||||||||
\(935\) | −1.27816e6 | − | 947487.i | −0.0478140 | − | 0.0354441i | ||||
\(936\) | −1.35958e7 | −0.507243 | ||||||||
\(937\) | − | 3.04441e7i | − | 1.13280i | −0.824130 | − | 0.566401i | \(-0.808335\pi\) | ||
0.824130 | − | 0.566401i | \(-0.191665\pi\) | |||||||
\(938\) | 8.78250e6i | 0.325920i | ||||||||
\(939\) | −6.96910e6 | −0.257937 | ||||||||
\(940\) | −1.62111e7 | − | 1.20172e7i | −0.598402 | − | 0.443591i | ||||
\(941\) | 3.08461e7 | 1.13560 | 0.567802 | − | 0.823165i | \(-0.307794\pi\) | ||||
0.567802 | + | 0.823165i | \(0.307794\pi\) | |||||||
\(942\) | − | 957555.i | − | 0.0351590i | ||||||
\(943\) | − | 9.62036e6i | − | 0.352299i | ||||||
\(944\) | −4.30389e6 | −0.157192 | ||||||||
\(945\) | −3.76217e6 | + | 5.07515e6i | −0.137044 | + | 0.184871i | ||||
\(946\) | −1.99214e7 | −0.723757 | ||||||||
\(947\) | 4.85787e7i | 1.76024i | 0.474754 | + | 0.880119i | \(0.342537\pi\) | ||||
−0.474754 | + | 0.880119i | \(0.657463\pi\) | |||||||
\(948\) | − | 7.14747e6i | − | 0.258304i | ||||||
\(949\) | −4.61514e7 | −1.66349 | ||||||||
\(950\) | 9.32374e6 | − | 2.83303e6i | 0.335182 | − | 0.101846i | ||||
\(951\) | −142459. | −0.00510784 | ||||||||
\(952\) | − | 191440.i | − | 0.00684604i | ||||||
\(953\) | 1.42581e6i | 0.0508545i | 0.999677 | + | 0.0254273i | \(0.00809462\pi\) | ||||
−0.999677 | + | 0.0254273i | \(0.991905\pi\) | |||||||
\(954\) | −1.35061e6 | −0.0480461 | ||||||||
\(955\) | −1.86783e7 | + | 2.51969e7i | −0.662717 | + | 0.894002i | ||||
\(956\) | 4.34970e6 | 0.153927 | ||||||||
\(957\) | 1.53077e7i | 0.540295i | ||||||||
\(958\) | 1.75518e7i | 0.617885i | ||||||||
\(959\) | 1.38832e7 | 0.487463 | ||||||||
\(960\) | −948028. | − | 702766.i | −0.0332004 | − | 0.0246112i | ||||
\(961\) | −2.84744e7 | −0.994594 | ||||||||
\(962\) | 5.25637e7i | 1.83125i | ||||||||
\(963\) | − | 1.27780e7i | − | 0.444015i | ||||||
\(964\) | −1.44280e7 | −0.500049 | ||||||||
\(965\) | −1.47787e7 | − | 1.09554e7i | −0.510879 | − | 0.378711i | ||||
\(966\) | 520488. | 0.0179460 | ||||||||
\(967\) | 422721.i | 0.0145374i | 0.999974 | + | 0.00726872i | \(0.00231373\pi\) | ||||
−0.999974 | + | 0.00726872i | \(0.997686\pi\) | |||||||
\(968\) | 2.89086e6i | 0.0991604i | ||||||||
\(969\) | 251815. | 0.00861532 | ||||||||
\(970\) | 2.26124e7 | − | 3.05041e7i | 0.771646 | − | 1.04095i | ||||
\(971\) | 5.33281e7 | 1.81513 | 0.907565 | − | 0.419912i | \(-0.137939\pi\) | ||||
0.907565 | + | 0.419912i | \(0.137939\pi\) | |||||||
\(972\) | − | 1.25370e7i | − | 0.425627i | ||||||
\(973\) | − | 1.50495e7i | − | 0.509613i | ||||||
\(974\) | 2.93981e7 | 0.992936 | ||||||||
\(975\) | 4.59581e6 | + | 1.51252e7i | 0.154828 | + | 0.509553i | ||||
\(976\) | −6.56541e6 | −0.220616 | ||||||||
\(977\) | 3.30224e6i | 0.110681i | 0.998468 | + | 0.0553404i | \(0.0176244\pi\) | ||||
−0.998468 | + | 0.0553404i | \(0.982376\pi\) | |||||||
\(978\) | 7.88481e6i | 0.263599i | ||||||||
\(979\) | −4.43134e7 | −1.47767 | ||||||||
\(980\) | −7.73887e6 | + | 1.04397e7i | −0.257402 | + | 0.347234i | ||||
\(981\) | 4.01809e7 | 1.33305 | ||||||||
\(982\) | 9.10187e6i | 0.301198i | ||||||||
\(983\) | 1.73555e7i | 0.572867i | 0.958100 | + | 0.286433i | \(0.0924697\pi\) | ||||
−0.958100 | + | 0.286433i | \(0.907530\pi\) | |||||||
\(984\) | −5.99860e6 | −0.197498 | ||||||||
\(985\) | 1.18837e7 | + | 8.80928e6i | 0.390265 | + | 0.289301i | ||||
\(986\) | −1.63969e6 | −0.0537117 | ||||||||
\(987\) | − | 5.54959e6i | − | 0.181329i | ||||||
\(988\) | 1.22425e7i | 0.399004i | ||||||||
\(989\) | 5.80164e6 | 0.188608 | ||||||||
\(990\) | 1.76557e7 | + | 1.30881e7i | 0.572529 | + | 0.424412i | ||||
\(991\) | 2.92913e7 | 0.947446 | 0.473723 | − | 0.880674i | \(-0.342910\pi\) | ||||
0.473723 | + | 0.880674i | \(0.342910\pi\) | |||||||
\(992\) | 402834.i | 0.0129971i | ||||||||
\(993\) | 1.33175e7i | 0.428598i | ||||||||
\(994\) | −3.97811e6 | −0.127706 | ||||||||
\(995\) | −1.64555e6 | + | 2.21984e6i | −0.0526930 | + | 0.0710826i | ||||
\(996\) | −4.00970e6 | −0.128075 | ||||||||
\(997\) | − | 4.65977e6i | − | 0.148466i | −0.997241 | − | 0.0742329i | \(-0.976349\pi\) | ||
0.997241 | − | 0.0742329i | \(-0.0236508\pi\) | |||||||
\(998\) | − | 7.15983e6i | − | 0.227550i | ||||||
\(999\) | −3.17025e7 | −1.00503 |
(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 | 230.6.b.a.139.8 | ✓ | 26 | |
5.4 | even | 2 | inner | 230.6.b.a.139.19 | yes | 26 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.6.b.a.139.8 | ✓ | 26 | 1.1 | even | 1 | trivial | |
230.6.b.a.139.19 | yes | 26 | 5.4 | even | 2 | inner |