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 | 139.17 | ||
Character | \(\chi\) | \(=\) | 230.139 |
Dual form | 230.6.b.a.139.10 |
$q$-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 | ||||||||
\(3\) | − | 14.1507i | − | 0.907769i | −0.891061 | − | 0.453884i | \(-0.850038\pi\) | ||
0.891061 | − | 0.453884i | \(-0.149962\pi\) | |||||||
\(4\) | −16.0000 | −0.500000 | ||||||||
\(5\) | 55.0409 | − | 9.77250i | 0.984601 | − | 0.174816i | ||||
\(6\) | 56.6028 | 0.641889 | ||||||||
\(7\) | − | 1.53351i | − | 0.0118288i | −0.999983 | − | 0.00591441i | \(-0.998117\pi\) | ||
0.999983 | − | 0.00591441i | \(-0.00188263\pi\) | |||||||
\(8\) | − | 64.0000i | − | 0.353553i | ||||||
\(9\) | 42.7574 | 0.175956 | ||||||||
\(10\) | 39.0900 | + | 220.164i | 0.123613 | + | 0.696218i | ||||
\(11\) | 219.251 | 0.546336 | 0.273168 | − | 0.961966i | \(-0.411929\pi\) | ||||
0.273168 | + | 0.961966i | \(0.411929\pi\) | |||||||
\(12\) | 226.411i | 0.453884i | ||||||||
\(13\) | 629.810i | 1.03360i | 0.856107 | + | 0.516799i | \(0.172876\pi\) | ||||
−0.856107 | + | 0.516799i | \(0.827124\pi\) | |||||||
\(14\) | 6.13404 | 0.00836425 | ||||||||
\(15\) | −138.288 | − | 778.868i | −0.158692 | − | 0.893790i | ||||
\(16\) | 256.000 | 0.250000 | ||||||||
\(17\) | 655.144i | 0.549812i | 0.961471 | + | 0.274906i | \(0.0886467\pi\) | ||||
−0.961471 | + | 0.274906i | \(0.911353\pi\) | |||||||
\(18\) | 171.030i | 0.124420i | ||||||||
\(19\) | 390.169 | 0.247953 | 0.123976 | − | 0.992285i | \(-0.460435\pi\) | ||||
0.123976 | + | 0.992285i | \(0.460435\pi\) | |||||||
\(20\) | −880.654 | + | 156.360i | −0.492301 | + | 0.0874079i | ||||
\(21\) | −21.7003 | −0.0107378 | ||||||||
\(22\) | 877.003i | 0.386318i | ||||||||
\(23\) | 529.000i | 0.208514i | ||||||||
\(24\) | −905.645 | −0.320945 | ||||||||
\(25\) | 2934.00 | − | 1075.77i | 0.938879 | − | 0.344248i | ||||
\(26\) | −2519.24 | −0.730864 | ||||||||
\(27\) | − | 4043.67i | − | 1.06750i | ||||||
\(28\) | 24.5362i | 0.00591441i | ||||||||
\(29\) | 4018.71 | 0.887344 | 0.443672 | − | 0.896189i | \(-0.353676\pi\) | ||||
0.443672 | + | 0.896189i | \(0.353676\pi\) | |||||||
\(30\) | 3115.47 | − | 553.151i | 0.632005 | − | 0.112212i | ||||
\(31\) | −7093.23 | −1.32568 | −0.662842 | − | 0.748760i | \(-0.730650\pi\) | ||||
−0.662842 | + | 0.748760i | \(0.730650\pi\) | |||||||
\(32\) | 1024.00i | 0.176777i | ||||||||
\(33\) | − | 3102.56i | − | 0.495946i | ||||||
\(34\) | −2620.57 | −0.388776 | ||||||||
\(35\) | −14.9862 | − | 84.4058i | −0.00206787 | − | 0.0116467i | ||||
\(36\) | −684.118 | −0.0879782 | ||||||||
\(37\) | 2921.35i | 0.350815i | 0.984496 | + | 0.175408i | \(0.0561243\pi\) | ||||
−0.984496 | + | 0.175408i | \(0.943876\pi\) | |||||||
\(38\) | 1560.68i | 0.175329i | ||||||||
\(39\) | 8912.26 | 0.938267 | ||||||||
\(40\) | −625.440 | − | 3522.62i | −0.0618067 | − | 0.348109i | ||||
\(41\) | 13254.6 | 1.23142 | 0.615712 | − | 0.787971i | \(-0.288868\pi\) | ||||
0.615712 | + | 0.787971i | \(0.288868\pi\) | |||||||
\(42\) | − | 86.8011i | − | 0.00759280i | ||||||
\(43\) | 11785.5i | 0.972022i | 0.873953 | + | 0.486011i | \(0.161548\pi\) | ||||
−0.873953 | + | 0.486011i | \(0.838452\pi\) | |||||||
\(44\) | −3508.01 | −0.273168 | ||||||||
\(45\) | 2353.40 | − | 417.846i | 0.173247 | − | 0.0307599i | ||||
\(46\) | −2116.00 | −0.147442 | ||||||||
\(47\) | − | 17941.7i | − | 1.18473i | −0.805671 | − | 0.592363i | \(-0.798195\pi\) | ||
0.805671 | − | 0.592363i | \(-0.201805\pi\) | |||||||
\(48\) | − | 3622.58i | − | 0.226942i | ||||||
\(49\) | 16804.6 | 0.999860 | ||||||||
\(50\) | 4303.10 | + | 11736.0i | 0.243420 | + | 0.663888i | ||||
\(51\) | 9270.75 | 0.499102 | ||||||||
\(52\) | − | 10077.0i | − | 0.516799i | ||||||
\(53\) | − | 32881.8i | − | 1.60793i | −0.594680 | − | 0.803963i | \(-0.702721\pi\) | ||
0.594680 | − | 0.803963i | \(-0.297279\pi\) | |||||||
\(54\) | 16174.7 | 0.754834 | ||||||||
\(55\) | 12067.8 | − | 2142.63i | 0.537923 | − | 0.0955081i | ||||
\(56\) | −98.1447 | −0.00418212 | ||||||||
\(57\) | − | 5521.17i | − | 0.225084i | ||||||
\(58\) | 16074.8i | 0.627447i | ||||||||
\(59\) | 28442.8 | 1.06376 | 0.531878 | − | 0.846821i | \(-0.321486\pi\) | ||||
0.531878 | + | 0.846821i | \(0.321486\pi\) | |||||||
\(60\) | 2212.60 | + | 12461.9i | 0.0793461 | + | 0.446895i | ||||
\(61\) | 46727.3 | 1.60785 | 0.803927 | − | 0.594729i | \(-0.202740\pi\) | ||||
0.803927 | + | 0.594729i | \(0.202740\pi\) | |||||||
\(62\) | − | 28372.9i | − | 0.937400i | ||||||
\(63\) | − | 65.5689i | − | 0.00208136i | ||||||
\(64\) | −4096.00 | −0.125000 | ||||||||
\(65\) | 6154.82 | + | 34665.3i | 0.180689 | + | 1.01768i | ||||
\(66\) | 12410.2 | 0.350687 | ||||||||
\(67\) | 11017.7i | 0.299851i | 0.988697 | + | 0.149926i | \(0.0479034\pi\) | ||||
−0.988697 | + | 0.149926i | \(0.952097\pi\) | |||||||
\(68\) | − | 10482.3i | − | 0.274906i | ||||||
\(69\) | 7485.73 | 0.189283 | ||||||||
\(70\) | 337.623 | − | 59.9449i | 0.00823545 | − | 0.00146220i | ||||
\(71\) | −39807.8 | −0.937178 | −0.468589 | − | 0.883416i | \(-0.655238\pi\) | ||||
−0.468589 | + | 0.883416i | \(0.655238\pi\) | |||||||
\(72\) | − | 2736.47i | − | 0.0622099i | ||||||
\(73\) | 53911.2i | 1.18406i | 0.805917 | + | 0.592028i | \(0.201673\pi\) | ||||
−0.805917 | + | 0.592028i | \(0.798327\pi\) | |||||||
\(74\) | −11685.4 | −0.248064 | ||||||||
\(75\) | −15223.0 | − | 41518.1i | −0.312497 | − | 0.852285i | ||||
\(76\) | −6242.71 | −0.123976 | ||||||||
\(77\) | − | 336.224i | − | 0.00646251i | ||||||
\(78\) | 35649.1i | 0.663455i | ||||||||
\(79\) | 102235. | 1.84304 | 0.921518 | − | 0.388336i | \(-0.126950\pi\) | ||||
0.921518 | + | 0.388336i | \(0.126950\pi\) | |||||||
\(80\) | 14090.5 | − | 2501.76i | 0.246150 | − | 0.0437039i | ||||
\(81\) | −46830.8 | −0.793083 | ||||||||
\(82\) | 53018.5i | 0.870749i | ||||||||
\(83\) | 29815.3i | 0.475055i | 0.971381 | + | 0.237528i | \(0.0763371\pi\) | ||||
−0.971381 | + | 0.237528i | \(0.923663\pi\) | |||||||
\(84\) | 347.204 | 0.00536892 | ||||||||
\(85\) | 6402.39 | + | 36059.7i | 0.0961158 | + | 0.541346i | ||||
\(86\) | −47141.9 | −0.687323 | ||||||||
\(87\) | − | 56867.6i | − | 0.805503i | ||||||
\(88\) | − | 14032.1i | − | 0.193159i | ||||||
\(89\) | −72771.4 | −0.973835 | −0.486918 | − | 0.873448i | \(-0.661879\pi\) | ||||
−0.486918 | + | 0.873448i | \(0.661879\pi\) | |||||||
\(90\) | 1671.39 | + | 9413.62i | 0.0217506 | + | 0.122504i | ||||
\(91\) | 965.821 | 0.0122262 | ||||||||
\(92\) | − | 8464.00i | − | 0.104257i | ||||||
\(93\) | 100374.i | 1.20341i | ||||||||
\(94\) | 71766.6 | 0.837727 | ||||||||
\(95\) | 21475.3 | − | 3812.93i | 0.244135 | − | 0.0433461i | ||||
\(96\) | 14490.3 | 0.160472 | ||||||||
\(97\) | − | 55084.5i | − | 0.594429i | −0.954811 | − | 0.297215i | \(-0.903942\pi\) | ||
0.954811 | − | 0.297215i | \(-0.0960577\pi\) | |||||||
\(98\) | 67218.6i | 0.707008i | ||||||||
\(99\) | 9374.59 | 0.0961312 | ||||||||
\(100\) | −46943.9 | + | 17212.4i | −0.469439 | + | 0.172124i | ||||
\(101\) | 82683.6 | 0.806522 | 0.403261 | − | 0.915085i | \(-0.367877\pi\) | ||||
0.403261 | + | 0.915085i | \(0.367877\pi\) | |||||||
\(102\) | 37083.0i | 0.352918i | ||||||||
\(103\) | 5305.74i | 0.0492779i | 0.999696 | + | 0.0246390i | \(0.00784362\pi\) | ||||
−0.999696 | + | 0.0246390i | \(0.992156\pi\) | |||||||
\(104\) | 40307.9 | 0.365432 | ||||||||
\(105\) | −1194.40 | + | 212.066i | −0.0105725 | + | 0.00187714i | ||||
\(106\) | 131527. | 1.13697 | ||||||||
\(107\) | − | 4491.44i | − | 0.0379251i | −0.999820 | − | 0.0189625i | \(-0.993964\pi\) | ||
0.999820 | − | 0.0189625i | \(-0.00603633\pi\) | |||||||
\(108\) | 64698.7i | 0.533748i | ||||||||
\(109\) | −38228.6 | −0.308193 | −0.154096 | − | 0.988056i | \(-0.549247\pi\) | ||||
−0.154096 | + | 0.988056i | \(0.549247\pi\) | |||||||
\(110\) | 8570.51 | + | 48271.0i | 0.0675344 | + | 0.380369i | ||||
\(111\) | 41339.1 | 0.318459 | ||||||||
\(112\) | − | 392.579i | − | 0.00295721i | ||||||
\(113\) | − | 24756.8i | − | 0.182389i | −0.995833 | − | 0.0911944i | \(-0.970932\pi\) | ||
0.995833 | − | 0.0911944i | \(-0.0290685\pi\) | |||||||
\(114\) | 22084.7 | 0.159158 | ||||||||
\(115\) | 5169.65 | + | 29116.6i | 0.0364516 | + | 0.205304i | ||||
\(116\) | −64299.4 | −0.443672 | ||||||||
\(117\) | 26929.0i | 0.181868i | ||||||||
\(118\) | 113771.i | 0.752190i | ||||||||
\(119\) | 1004.67 | 0.00650363 | ||||||||
\(120\) | −49847.5 | + | 8850.42i | −0.316002 | + | 0.0561062i | ||||
\(121\) | −112980. | −0.701517 | ||||||||
\(122\) | 186909.i | 1.13692i | ||||||||
\(123\) | − | 187562.i | − | 1.11785i | ||||||
\(124\) | 113492. | 0.662842 | ||||||||
\(125\) | 150977. | − | 87884.0i | 0.864241 | − | 0.503077i | ||||
\(126\) | 262.276 | 0.00147174 | ||||||||
\(127\) | − | 240110.i | − | 1.32099i | −0.750829 | − | 0.660497i | \(-0.770346\pi\) | ||
0.750829 | − | 0.660497i | \(-0.229654\pi\) | |||||||
\(128\) | − | 16384.0i | − | 0.0883883i | ||||||
\(129\) | 166773. | 0.882371 | ||||||||
\(130\) | −138661. | + | 24619.3i | −0.719609 | + | 0.127766i | ||||
\(131\) | −3138.28 | −0.0159777 | −0.00798884 | − | 0.999968i | \(-0.502543\pi\) | ||||
−0.00798884 | + | 0.999968i | \(0.502543\pi\) | |||||||
\(132\) | 49640.9i | 0.247973i | ||||||||
\(133\) | − | 598.329i | − | 0.00293299i | ||||||
\(134\) | −44071.0 | −0.212027 | ||||||||
\(135\) | −39516.8 | − | 222567.i | −0.186615 | − | 1.05106i | ||||
\(136\) | 41929.2 | 0.194388 | ||||||||
\(137\) | − | 182339.i | − | 0.829999i | −0.909822 | − | 0.414999i | \(-0.863782\pi\) | ||
0.909822 | − | 0.414999i | \(-0.136218\pi\) | |||||||
\(138\) | 29942.9i | 0.133843i | ||||||||
\(139\) | −100800. | −0.442509 | −0.221255 | − | 0.975216i | \(-0.571015\pi\) | ||||
−0.221255 | + | 0.975216i | \(0.571015\pi\) | |||||||
\(140\) | 239.780 | + | 1350.49i | 0.00103393 | + | 0.00582334i | ||||
\(141\) | −253887. | −1.07546 | ||||||||
\(142\) | − | 159231.i | − | 0.662685i | ||||||
\(143\) | 138086.i | 0.564691i | ||||||||
\(144\) | 10945.9 | 0.0439891 | ||||||||
\(145\) | 221193. | − | 39272.9i | 0.873680 | − | 0.155122i | ||||
\(146\) | −215645. | −0.837254 | ||||||||
\(147\) | − | 237798.i | − | 0.907642i | ||||||
\(148\) | − | 46741.5i | − | 0.175408i | ||||||
\(149\) | −137943. | −0.509018 | −0.254509 | − | 0.967070i | \(-0.581914\pi\) | ||||
−0.254509 | + | 0.967070i | \(0.581914\pi\) | |||||||
\(150\) | 166073. | − | 60891.9i | 0.602656 | − | 0.220969i | ||||
\(151\) | −15161.0 | −0.0541108 | −0.0270554 | − | 0.999634i | \(-0.508613\pi\) | ||||
−0.0270554 | + | 0.999634i | \(0.508613\pi\) | |||||||
\(152\) | − | 24970.8i | − | 0.0876646i | ||||||
\(153\) | 28012.2i | 0.0967429i | ||||||||
\(154\) | 1344.89 | 0.00456969 | ||||||||
\(155\) | −390418. | + | 69318.6i | −1.30527 | + | 0.231750i | ||||
\(156\) | −142596. | −0.469134 | ||||||||
\(157\) | − | 146002.i | − | 0.472726i | −0.971665 | − | 0.236363i | \(-0.924045\pi\) | ||
0.971665 | − | 0.236363i | \(-0.0759554\pi\) | |||||||
\(158\) | 408942.i | 1.30322i | ||||||||
\(159\) | −465301. | −1.45962 | ||||||||
\(160\) | 10007.0 | + | 56361.9i | 0.0309034 | + | 0.174055i | ||||
\(161\) | 811.227 | 0.00246648 | ||||||||
\(162\) | − | 187323.i | − | 0.560794i | ||||||
\(163\) | − | 73666.6i | − | 0.217171i | −0.994087 | − | 0.108585i | \(-0.965368\pi\) | ||
0.994087 | − | 0.108585i | \(-0.0346321\pi\) | |||||||
\(164\) | −212074. | −0.615712 | ||||||||
\(165\) | −30319.7 | − | 170767.i | −0.0866992 | − | 0.488309i | ||||
\(166\) | −119261. | −0.335915 | ||||||||
\(167\) | − | 599597.i | − | 1.66367i | −0.555020 | − | 0.831837i | \(-0.687289\pi\) | ||
0.555020 | − | 0.831837i | \(-0.312711\pi\) | |||||||
\(168\) | 1388.82i | 0.00379640i | ||||||||
\(169\) | −25367.9 | −0.0683232 | ||||||||
\(170\) | −144239. | + | 25609.6i | −0.382789 | + | 0.0679641i | ||||
\(171\) | 16682.6 | 0.0436289 | ||||||||
\(172\) | − | 188568.i | − | 0.486011i | ||||||
\(173\) | 92162.8i | 0.234121i | 0.993125 | + | 0.117061i | \(0.0373472\pi\) | ||||
−0.993125 | + | 0.117061i | \(0.962653\pi\) | |||||||
\(174\) | 227471. | 0.569576 | ||||||||
\(175\) | −1649.71 | − | 4499.32i | −0.00407205 | − | 0.0111058i | ||||
\(176\) | 56128.2 | 0.136584 | ||||||||
\(177\) | − | 402486.i | − | 0.965645i | ||||||
\(178\) | − | 291085.i | − | 0.688605i | ||||||
\(179\) | −307154. | −0.716512 | −0.358256 | − | 0.933623i | \(-0.616629\pi\) | ||||
−0.358256 | + | 0.933623i | \(0.616629\pi\) | |||||||
\(180\) | −37654.5 | + | 6685.54i | −0.0866234 | + | 0.0153800i | ||||
\(181\) | 150578. | 0.341637 | 0.170818 | − | 0.985303i | \(-0.445359\pi\) | ||||
0.170818 | + | 0.985303i | \(0.445359\pi\) | |||||||
\(182\) | 3863.28i | 0.00864526i | ||||||||
\(183\) | − | 661225.i | − | 1.45956i | ||||||
\(184\) | 33856.0 | 0.0737210 | ||||||||
\(185\) | 28548.8 | + | 160793.i | 0.0613281 | + | 0.345413i | ||||
\(186\) | −401497. | −0.850942 | ||||||||
\(187\) | 143641.i | 0.300382i | ||||||||
\(188\) | 287066.i | 0.592363i | ||||||||
\(189\) | −6201.01 | −0.0126272 | ||||||||
\(190\) | 15251.7 | + | 85901.1i | 0.0306503 | + | 0.172629i | ||||
\(191\) | −580954. | −1.15228 | −0.576140 | − | 0.817351i | \(-0.695442\pi\) | ||||
−0.576140 | + | 0.817351i | \(0.695442\pi\) | |||||||
\(192\) | 57961.3i | 0.113471i | ||||||||
\(193\) | 882560.i | 1.70550i | 0.522322 | + | 0.852748i | \(0.325066\pi\) | ||||
−0.522322 | + | 0.852748i | \(0.674934\pi\) | |||||||
\(194\) | 220338. | 0.420325 | ||||||||
\(195\) | 490539. | − | 87095.1i | 0.923819 | − | 0.164024i | ||||
\(196\) | −268874. | −0.499930 | ||||||||
\(197\) | 640956.i | 1.17669i | 0.808609 | + | 0.588346i | \(0.200221\pi\) | ||||
−0.808609 | + | 0.588346i | \(0.799779\pi\) | |||||||
\(198\) | 37498.4i | 0.0679750i | ||||||||
\(199\) | −968212. | −1.73316 | −0.866578 | − | 0.499041i | \(-0.833686\pi\) | ||||
−0.866578 | + | 0.499041i | \(0.833686\pi\) | |||||||
\(200\) | −68849.5 | − | 187776.i | −0.121710 | − | 0.331944i | ||||
\(201\) | 155909. | 0.272195 | ||||||||
\(202\) | 330734.i | 0.570297i | ||||||||
\(203\) | − | 6162.74i | − | 0.0104962i | ||||||
\(204\) | −148332. | −0.249551 | ||||||||
\(205\) | 729546. | − | 129531.i | 1.21246 | − | 0.215272i | ||||
\(206\) | −21222.9 | −0.0348448 | ||||||||
\(207\) | 22618.7i | 0.0366894i | ||||||||
\(208\) | 161231.i | 0.258399i | ||||||||
\(209\) | 85545.0 | 0.135466 | ||||||||
\(210\) | −848.263 | − | 4777.61i | −0.00132734 | − | 0.00747588i | ||||
\(211\) | 256429. | 0.396516 | 0.198258 | − | 0.980150i | \(-0.436472\pi\) | ||||
0.198258 | + | 0.980150i | \(0.436472\pi\) | |||||||
\(212\) | 526109.i | 0.803963i | ||||||||
\(213\) | 563309.i | 0.850741i | ||||||||
\(214\) | 17965.8 | 0.0268171 | ||||||||
\(215\) | 115174. | + | 648683.i | 0.169925 | + | 0.957054i | ||||
\(216\) | −258795. | −0.377417 | ||||||||
\(217\) | 10877.5i | 0.0156813i | ||||||||
\(218\) | − | 152915.i | − | 0.217925i | ||||||
\(219\) | 762882. | 1.07485 | ||||||||
\(220\) | −193084. | + | 34282.1i | −0.268961 | + | 0.0477540i | ||||
\(221\) | −412616. | −0.568284 | ||||||||
\(222\) | 165356.i | 0.225185i | ||||||||
\(223\) | 1.36647e6i | 1.84008i | 0.391819 | + | 0.920042i | \(0.371846\pi\) | ||||
−0.391819 | + | 0.920042i | \(0.628154\pi\) | |||||||
\(224\) | 1570.32 | 0.00209106 | ||||||||
\(225\) | 125450. | − | 45997.3i | 0.165202 | − | 0.0605725i | ||||
\(226\) | 99027.1 | 0.128968 | ||||||||
\(227\) | 1.30150e6i | 1.67640i | 0.545361 | + | 0.838201i | \(0.316392\pi\) | ||||
−0.545361 | + | 0.838201i | \(0.683608\pi\) | |||||||
\(228\) | 88338.8i | 0.112542i | ||||||||
\(229\) | 452685. | 0.570436 | 0.285218 | − | 0.958463i | \(-0.407934\pi\) | ||||
0.285218 | + | 0.958463i | \(0.407934\pi\) | |||||||
\(230\) | −116466. | + | 20678.6i | −0.145172 | + | 0.0257752i | ||||
\(231\) | −4757.80 | −0.00586646 | ||||||||
\(232\) | − | 257198.i | − | 0.313723i | ||||||
\(233\) | − | 979540.i | − | 1.18204i | −0.806657 | − | 0.591020i | \(-0.798725\pi\) | ||
0.806657 | − | 0.591020i | \(-0.201275\pi\) | |||||||
\(234\) | −107716. | −0.128600 | ||||||||
\(235\) | −175335. | − | 987524.i | −0.207109 | − | 1.16648i | ||||
\(236\) | −455085. | −0.531878 | ||||||||
\(237\) | − | 1.44670e6i | − | 1.67305i | ||||||
\(238\) | 4018.68i | 0.00459876i | ||||||||
\(239\) | 692403. | 0.784087 | 0.392043 | − | 0.919947i | \(-0.371768\pi\) | ||||
0.392043 | + | 0.919947i | \(0.371768\pi\) | |||||||
\(240\) | −35401.7 | − | 199390.i | −0.0396731 | − | 0.223447i | ||||
\(241\) | −1.68954e6 | −1.87382 | −0.936908 | − | 0.349575i | \(-0.886326\pi\) | ||||
−0.936908 | + | 0.349575i | \(0.886326\pi\) | |||||||
\(242\) | − | 451920.i | − | 0.496048i | ||||||
\(243\) | − | 319923.i | − | 0.347560i | ||||||
\(244\) | −747637. | −0.803927 | ||||||||
\(245\) | 924943. | − | 164223.i | 0.984463 | − | 0.174791i | ||||
\(246\) | 750250. | 0.790438 | ||||||||
\(247\) | 245733.i | 0.256283i | ||||||||
\(248\) | 453967.i | 0.468700i | ||||||||
\(249\) | 421908. | 0.431240 | ||||||||
\(250\) | 351536. | + | 603907.i | 0.355729 | + | 0.611111i | ||||
\(251\) | −554814. | −0.555857 | −0.277928 | − | 0.960602i | \(-0.589648\pi\) | ||||
−0.277928 | + | 0.960602i | \(0.589648\pi\) | |||||||
\(252\) | 1049.10i | 0.00104068i | ||||||||
\(253\) | 115984.i | 0.113919i | ||||||||
\(254\) | 960439. | 0.934083 | ||||||||
\(255\) | 510270. | − | 90598.4i | 0.491416 | − | 0.0872509i | ||||
\(256\) | 65536.0 | 0.0625000 | ||||||||
\(257\) | 1.94048e6i | 1.83263i | 0.400453 | + | 0.916317i | \(0.368853\pi\) | ||||
−0.400453 | + | 0.916317i | \(0.631147\pi\) | |||||||
\(258\) | 667092.i | 0.623930i | ||||||||
\(259\) | 4479.91 | 0.00414973 | ||||||||
\(260\) | −98477.1 | − | 554645.i | −0.0903445 | − | 0.508841i | ||||
\(261\) | 171830. | 0.156134 | ||||||||
\(262\) | − | 12553.1i | − | 0.0112979i | ||||||
\(263\) | − | 1.03518e6i | − | 0.922844i | −0.887181 | − | 0.461422i | \(-0.847339\pi\) | ||
0.887181 | − | 0.461422i | \(-0.152661\pi\) | |||||||
\(264\) | −198564. | −0.175344 | ||||||||
\(265\) | −321337. | − | 1.80984e6i | −0.281091 | − | 1.58317i | ||||
\(266\) | 2393.32 | 0.00207394 | ||||||||
\(267\) | 1.02977e6i | 0.884017i | ||||||||
\(268\) | − | 176284.i | − | 0.149926i | ||||||
\(269\) | −577562. | −0.486652 | −0.243326 | − | 0.969945i | \(-0.578238\pi\) | ||||
−0.243326 | + | 0.969945i | \(0.578238\pi\) | |||||||
\(270\) | 890269. | − | 158067.i | 0.743210 | − | 0.131957i | ||||
\(271\) | −1.10989e6 | −0.918033 | −0.459017 | − | 0.888428i | \(-0.651798\pi\) | ||||
−0.459017 | + | 0.888428i | \(0.651798\pi\) | |||||||
\(272\) | 167717.i | 0.137453i | ||||||||
\(273\) | − | 13667.1i | − | 0.0110986i | ||||||
\(274\) | 729355. | 0.586898 | ||||||||
\(275\) | 643281. | − | 235864.i | 0.512943 | − | 0.188075i | ||||
\(276\) | −119772. | −0.0946414 | ||||||||
\(277\) | 1.78721e6i | 1.39951i | 0.714381 | + | 0.699757i | \(0.246708\pi\) | ||||
−0.714381 | + | 0.699757i | \(0.753292\pi\) | |||||||
\(278\) | − | 403199.i | − | 0.312901i | ||||||
\(279\) | −303288. | −0.233262 | ||||||||
\(280\) | −5401.97 | + | 959.119i | −0.00411772 | + | 0.000731101i | ||||
\(281\) | 14269.1 | 0.0107803 | 0.00539016 | − | 0.999985i | \(-0.498284\pi\) | ||||
0.00539016 | + | 0.999985i | \(0.498284\pi\) | |||||||
\(282\) | − | 1.01555e6i | − | 0.760463i | ||||||
\(283\) | − | 593348.i | − | 0.440396i | −0.975455 | − | 0.220198i | \(-0.929330\pi\) | ||
0.975455 | − | 0.220198i | \(-0.0706703\pi\) | |||||||
\(284\) | 636925. | 0.468589 | ||||||||
\(285\) | −53955.7 | − | 303890.i | −0.0393482 | − | 0.221618i | ||||
\(286\) | −552346. | −0.399297 | ||||||||
\(287\) | − | 20326.1i | − | 0.0145663i | ||||||
\(288\) | 43783.6i | 0.0311050i | ||||||||
\(289\) | 990644. | 0.697707 | ||||||||
\(290\) | 157091. | + | 884774.i | 0.109688 | + | 0.617785i | ||||
\(291\) | −779485. | −0.539604 | ||||||||
\(292\) | − | 862580.i | − | 0.592028i | ||||||
\(293\) | 1.19558e6i | 0.813601i | 0.913517 | + | 0.406800i | \(0.133356\pi\) | ||||
−0.913517 | + | 0.406800i | \(0.866644\pi\) | |||||||
\(294\) | 951191. | 0.641799 | ||||||||
\(295\) | 1.56552e6 | − | 277957.i | 1.04738 | − | 0.185961i | ||||
\(296\) | 186966. | 0.124032 | ||||||||
\(297\) | − | 886578.i | − | 0.583211i | ||||||
\(298\) | − | 551771.i | − | 0.359930i | ||||||
\(299\) | −333170. | −0.215520 | ||||||||
\(300\) | 243567. | + | 664290.i | 0.156249 | + | 0.426142i | ||||
\(301\) | 18073.2 | 0.0114979 | ||||||||
\(302\) | − | 60643.8i | − | 0.0382621i | ||||||
\(303\) | − | 1.17003e6i | − | 0.732135i | ||||||
\(304\) | 99883.4 | 0.0619882 | ||||||||
\(305\) | 2.57191e6 | − | 456643.i | 1.58309 | − | 0.281078i | ||||
\(306\) | −112049. | −0.0684076 | ||||||||
\(307\) | − | 1.41410e6i | − | 0.856315i | −0.903704 | − | 0.428157i | \(-0.859163\pi\) | ||
0.903704 | − | 0.428157i | \(-0.140837\pi\) | |||||||
\(308\) | 5379.58i | 0.00323126i | ||||||||
\(309\) | 75079.9 | 0.0447330 | ||||||||
\(310\) | −277274. | − | 1.56167e6i | −0.163872 | − | 0.922965i | ||||
\(311\) | 2.67249e6 | 1.56680 | 0.783402 | − | 0.621516i | \(-0.213483\pi\) | ||||
0.783402 | + | 0.621516i | \(0.213483\pi\) | |||||||
\(312\) | − | 570385.i | − | 0.331727i | ||||||
\(313\) | − | 398469.i | − | 0.229897i | −0.993371 | − | 0.114949i | \(-0.963330\pi\) | ||
0.993371 | − | 0.114949i | \(-0.0366704\pi\) | |||||||
\(314\) | 584008. | 0.334268 | ||||||||
\(315\) | −640.772 | − | 3608.97i | −0.000363854 | − | 0.00204931i | ||||
\(316\) | −1.63577e6 | −0.921518 | ||||||||
\(317\) | 1.27652e6i | 0.713477i | 0.934204 | + | 0.356738i | \(0.116111\pi\) | ||||
−0.934204 | + | 0.356738i | \(0.883889\pi\) | |||||||
\(318\) | − | 1.86120e6i | − | 1.03211i | ||||||
\(319\) | 881106. | 0.484788 | ||||||||
\(320\) | −225447. | + | 40028.2i | −0.123075 | + | 0.0218520i | ||||
\(321\) | −63557.1 | −0.0344272 | ||||||||
\(322\) | 3244.91i | 0.00174407i | ||||||||
\(323\) | 255617.i | 0.136327i | ||||||||
\(324\) | 749292. | 0.396542 | ||||||||
\(325\) | 677533. | + | 1.84786e6i | 0.355813 | + | 0.970423i | ||||
\(326\) | 294667. | 0.153563 | ||||||||
\(327\) | 540962.i | 0.279768i | ||||||||
\(328\) | − | 848296.i | − | 0.435374i | ||||||
\(329\) | −27513.7 | −0.0140139 | ||||||||
\(330\) | 683070. | − | 121279.i | 0.345287 | − | 0.0613056i | ||||
\(331\) | −2.72461e6 | −1.36689 | −0.683446 | − | 0.730001i | \(-0.739520\pi\) | ||||
−0.683446 | + | 0.730001i | \(0.739520\pi\) | |||||||
\(332\) | − | 477045.i | − | 0.237528i | ||||||
\(333\) | 124909.i | 0.0617282i | ||||||||
\(334\) | 2.39839e6 | 1.17640 | ||||||||
\(335\) | 107671. | + | 606426.i | 0.0524187 | + | 0.295234i | ||||
\(336\) | −5555.27 | −0.00268446 | ||||||||
\(337\) | 1.69907e6i | 0.814959i | 0.913214 | + | 0.407479i | \(0.133592\pi\) | ||||
−0.913214 | + | 0.407479i | \(0.866408\pi\) | |||||||
\(338\) | − | 101472.i | − | 0.0483118i | ||||||
\(339\) | −350326. | −0.165567 | ||||||||
\(340\) | −102438. | − | 576955.i | −0.0480579 | − | 0.270673i | ||||
\(341\) | −1.55520e6 | −0.724268 | ||||||||
\(342\) | 66730.5i | 0.0308503i | ||||||||
\(343\) | − | 51543.8i | − | 0.0236560i | ||||||
\(344\) | 754271. | 0.343662 | ||||||||
\(345\) | 412021. | − | 73154.2i | 0.186368 | − | 0.0330896i | ||||
\(346\) | −368651. | −0.165549 | ||||||||
\(347\) | 2.53603e6i | 1.13066i | 0.824866 | + | 0.565329i | \(0.191251\pi\) | ||||
−0.824866 | + | 0.565329i | \(0.808749\pi\) | |||||||
\(348\) | 909882.i | 0.402751i | ||||||||
\(349\) | 1.87884e6 | 0.825708 | 0.412854 | − | 0.910797i | \(-0.364532\pi\) | ||||
0.412854 | + | 0.910797i | \(0.364532\pi\) | |||||||
\(350\) | 17997.3 | − | 6598.84i | 0.00785301 | − | 0.00287937i | ||||
\(351\) | 2.54674e6 | 1.10336 | ||||||||
\(352\) | 224513.i | 0.0965794i | ||||||||
\(353\) | − | 30316.4i | − | 0.0129491i | −0.999979 | − | 0.00647457i | \(-0.997939\pi\) | ||
0.999979 | − | 0.00647457i | \(-0.00206093\pi\) | |||||||
\(354\) | 1.60994e6 | 0.682814 | ||||||||
\(355\) | −2.19106e6 | + | 389022.i | −0.922747 | + | 0.163834i | ||||
\(356\) | 1.16434e6 | 0.486918 | ||||||||
\(357\) | − | 14216.8i | − | 0.00590379i | ||||||
\(358\) | − | 1.22862e6i | − | 0.506651i | ||||||
\(359\) | 1.85159e6 | 0.758243 | 0.379122 | − | 0.925347i | \(-0.376226\pi\) | ||||
0.379122 | + | 0.925347i | \(0.376226\pi\) | |||||||
\(360\) | −26742.2 | − | 150618.i | −0.0108753 | − | 0.0612520i | ||||
\(361\) | −2.32387e6 | −0.938519 | ||||||||
\(362\) | 602311.i | 0.241574i | ||||||||
\(363\) | 1.59875e6i | 0.636815i | ||||||||
\(364\) | −15453.1 | −0.00611312 | ||||||||
\(365\) | 526848. | + | 2.96732e6i | 0.206992 | + | 1.16582i | ||||
\(366\) | 2.64490e6 | 1.03206 | ||||||||
\(367\) | − | 1.43933e6i | − | 0.557820i | −0.960317 | − | 0.278910i | \(-0.910027\pi\) | ||
0.960317 | − | 0.278910i | \(-0.0899732\pi\) | |||||||
\(368\) | 135424.i | 0.0521286i | ||||||||
\(369\) | 566733. | 0.216677 | ||||||||
\(370\) | −643174. | + | 114195.i | −0.244244 | + | 0.0433655i | ||||
\(371\) | −50424.6 | −0.0190199 | ||||||||
\(372\) | − | 1.60599e6i | − | 0.601707i | ||||||
\(373\) | 1.32778e6i | 0.494144i | 0.968997 | + | 0.247072i | \(0.0794684\pi\) | ||||
−0.968997 | + | 0.247072i | \(0.920532\pi\) | |||||||
\(374\) | −574563. | −0.212402 | ||||||||
\(375\) | −1.24362e6 | − | 2.13643e6i | −0.456678 | − | 0.784531i | ||||
\(376\) | −1.14827e6 | −0.418864 | ||||||||
\(377\) | 2.53103e6i | 0.917156i | ||||||||
\(378\) | − | 24804.0i | − | 0.00892880i | ||||||
\(379\) | −2.94089e6 | −1.05167 | −0.525837 | − | 0.850585i | \(-0.676248\pi\) | ||||
−0.525837 | + | 0.850585i | \(0.676248\pi\) | |||||||
\(380\) | −343604. | + | 61006.9i | −0.122067 | + | 0.0216730i | ||||
\(381\) | −3.39773e6 | −1.19916 | ||||||||
\(382\) | − | 2.32382e6i | − | 0.814786i | ||||||
\(383\) | 2.29361e6i | 0.798957i | 0.916743 | + | 0.399478i | \(0.130809\pi\) | ||||
−0.916743 | + | 0.399478i | \(0.869191\pi\) | |||||||
\(384\) | −231845. | −0.0802362 | ||||||||
\(385\) | −3285.74 | − | 18506.0i | −0.00112975 | − | 0.00636300i | ||||
\(386\) | −3.53024e6 | −1.20597 | ||||||||
\(387\) | 503916.i | 0.171033i | ||||||||
\(388\) | 881352.i | 0.297215i | ||||||||
\(389\) | 762957. | 0.255639 | 0.127819 | − | 0.991797i | \(-0.459202\pi\) | ||||
0.127819 | + | 0.991797i | \(0.459202\pi\) | |||||||
\(390\) | 348380. | + | 1.96216e6i | 0.115982 | + | 0.653239i | ||||
\(391\) | −346571. | −0.114644 | ||||||||
\(392\) | − | 1.07550e6i | − | 0.353504i | ||||||
\(393\) | 44408.9i | 0.0145040i | ||||||||
\(394\) | −2.56382e6 | −0.832047 | ||||||||
\(395\) | 5.62713e6 | − | 999096.i | 1.81466 | − | 0.322192i | ||||
\(396\) | −149993. | −0.0480656 | ||||||||
\(397\) | 1.78568e6i | 0.568628i | 0.958731 | + | 0.284314i | \(0.0917658\pi\) | ||||
−0.958731 | + | 0.284314i | \(0.908234\pi\) | |||||||
\(398\) | − | 3.87285e6i | − | 1.22553i | ||||||
\(399\) | −8466.78 | −0.00266248 | ||||||||
\(400\) | 751103. | − | 275398.i | 0.234720 | − | 0.0860619i | ||||
\(401\) | 2.25925e6 | 0.701621 | 0.350810 | − | 0.936446i | \(-0.385906\pi\) | ||||
0.350810 | + | 0.936446i | \(0.385906\pi\) | |||||||
\(402\) | 623636.i | 0.192471i | ||||||||
\(403\) | − | 4.46739e6i | − | 1.37022i | ||||||
\(404\) | −1.32294e6 | −0.403261 | ||||||||
\(405\) | −2.57761e6 | + | 457654.i | −0.780871 | + | 0.138643i | ||||
\(406\) | 24651.0 | 0.00742196 | ||||||||
\(407\) | 640507.i | 0.191663i | ||||||||
\(408\) | − | 593328.i | − | 0.176459i | ||||||
\(409\) | −4.05322e6 | −1.19810 | −0.599048 | − | 0.800713i | \(-0.704454\pi\) | ||||
−0.599048 | + | 0.800713i | \(0.704454\pi\) | |||||||
\(410\) | 518123. | + | 2.91819e6i | 0.152221 | + | 0.857340i | ||||
\(411\) | −2.58022e6 | −0.753447 | ||||||||
\(412\) | − | 84891.8i | − | 0.0246390i | ||||||
\(413\) | − | 43617.4i | − | 0.0125830i | ||||||
\(414\) | −90474.6 | −0.0259433 | ||||||||
\(415\) | 291370. | + | 1.64106e6i | 0.0830472 | + | 0.467740i | ||||
\(416\) | −644926. | −0.182716 | ||||||||
\(417\) | 1.42639e6i | 0.401696i | ||||||||
\(418\) | 342180.i | 0.0957886i | ||||||||
\(419\) | 741313. | 0.206284 | 0.103142 | − | 0.994667i | \(-0.467110\pi\) | ||||
0.103142 | + | 0.994667i | \(0.467110\pi\) | |||||||
\(420\) | 19110.4 | − | 3393.05i | 0.00528624 | − | 0.000938572i | ||||
\(421\) | −5.67332e6 | −1.56003 | −0.780013 | − | 0.625763i | \(-0.784788\pi\) | ||||
−0.780013 | + | 0.625763i | \(0.784788\pi\) | |||||||
\(422\) | 1.02572e6i | 0.280379i | ||||||||
\(423\) | − | 767138.i | − | 0.208460i | ||||||
\(424\) | −2.10444e6 | −0.568487 | ||||||||
\(425\) | 704786. | + | 1.92219e6i | 0.189271 | + | 0.516207i | ||||
\(426\) | −2.25323e6 | −0.601565 | ||||||||
\(427\) | − | 71656.9i | − | 0.0190190i | ||||||
\(428\) | 71863.1i | 0.0189625i | ||||||||
\(429\) | 1.95402e6 | 0.512609 | ||||||||
\(430\) | −2.59473e6 | + | 460694.i | −0.676739 | + | 0.120155i | ||||
\(431\) | −746537. | −0.193579 | −0.0967895 | − | 0.995305i | \(-0.530857\pi\) | ||||
−0.0967895 | + | 0.995305i | \(0.530857\pi\) | |||||||
\(432\) | − | 1.03518e6i | − | 0.266874i | ||||||
\(433\) | − | 3.52859e6i | − | 0.904444i | −0.891905 | − | 0.452222i | \(-0.850631\pi\) | ||
0.891905 | − | 0.452222i | \(-0.149369\pi\) | |||||||
\(434\) | −43510.2 | −0.0110883 | ||||||||
\(435\) | −555739. | − | 3.13004e6i | −0.140815 | − | 0.793099i | ||||
\(436\) | 611658. | 0.154096 | ||||||||
\(437\) | 206400.i | 0.0517018i | ||||||||
\(438\) | 3.05153e6i | 0.760033i | ||||||||
\(439\) | 2.08705e6 | 0.516859 | 0.258430 | − | 0.966030i | \(-0.416795\pi\) | ||||
0.258430 | + | 0.966030i | \(0.416795\pi\) | |||||||
\(440\) | −137128. | − | 772337.i | −0.0337672 | − | 0.190184i | ||||
\(441\) | 718523. | 0.175932 | ||||||||
\(442\) | − | 1.65046e6i | − | 0.401838i | ||||||
\(443\) | − | 4.61691e6i | − | 1.11774i | −0.829254 | − | 0.558872i | \(-0.811234\pi\) | ||
0.829254 | − | 0.558872i | \(-0.188766\pi\) | |||||||
\(444\) | −661426. | −0.159230 | ||||||||
\(445\) | −4.00540e6 | + | 711158.i | −0.958839 | + | 0.170242i | ||||
\(446\) | −5.46588e6 | −1.30114 | ||||||||
\(447\) | 1.95199e6i | 0.462070i | ||||||||
\(448\) | 6281.26i | 0.00147860i | ||||||||
\(449\) | −2.13634e6 | −0.500098 | −0.250049 | − | 0.968233i | \(-0.580447\pi\) | ||||
−0.250049 | + | 0.968233i | \(0.580447\pi\) | |||||||
\(450\) | 183989. | + | 501800.i | 0.0428313 | + | 0.116815i | ||||
\(451\) | 2.90609e6 | 0.672771 | ||||||||
\(452\) | 396108.i | 0.0911944i | ||||||||
\(453\) | 214538.i | 0.0491201i | ||||||||
\(454\) | −5.20598e6 | −1.18540 | ||||||||
\(455\) | 53159.6 | − | 9438.48i | 0.0120380 | − | 0.00213734i | ||||
\(456\) | −353355. | −0.0795792 | ||||||||
\(457\) | 100158.i | 0.0224335i | 0.999937 | + | 0.0112168i | \(0.00357048\pi\) | ||||
−0.999937 | + | 0.0112168i | \(0.996430\pi\) | |||||||
\(458\) | 1.81074e6i | 0.403359i | ||||||||
\(459\) | 2.64918e6 | 0.586922 | ||||||||
\(460\) | −82714.4 | − | 465866.i | −0.0182258 | − | 0.102652i | ||||
\(461\) | −3.77604e6 | −0.827532 | −0.413766 | − | 0.910383i | \(-0.635787\pi\) | ||||
−0.413766 | + | 0.910383i | \(0.635787\pi\) | |||||||
\(462\) | − | 19031.2i | − | 0.00414822i | ||||||
\(463\) | − | 2.32618e6i | − | 0.504303i | −0.967688 | − | 0.252151i | \(-0.918862\pi\) | ||
0.967688 | − | 0.252151i | \(-0.0811381\pi\) | |||||||
\(464\) | 1.02879e6 | 0.221836 | ||||||||
\(465\) | 980907. | + | 5.52469e6i | 0.210376 | + | 1.18488i | ||||
\(466\) | 3.91816e6 | 0.835829 | ||||||||
\(467\) | − | 4.72960e6i | − | 1.00353i | −0.865003 | − | 0.501767i | \(-0.832683\pi\) | ||
0.865003 | − | 0.501767i | \(-0.167317\pi\) | |||||||
\(468\) | − | 430865.i | − | 0.0909340i | ||||||
\(469\) | 16895.8 | 0.00354689 | ||||||||
\(470\) | 3.95010e6 | − | 701339.i | 0.824827 | − | 0.146448i | ||||
\(471\) | −2.06603e6 | −0.429126 | ||||||||
\(472\) | − | 1.82034e6i | − | 0.376095i | ||||||
\(473\) | 2.58398e6i | 0.531050i | ||||||||
\(474\) | 5.78682e6 | 1.18303 | ||||||||
\(475\) | 1.14476e6 | − | 419734.i | 0.232798 | − | 0.0853572i | ||||
\(476\) | −16074.7 | −0.00325182 | ||||||||
\(477\) | − | 1.40594e6i | − | 0.282925i | ||||||
\(478\) | 2.76961e6i | 0.554433i | ||||||||
\(479\) | 6.65405e6 | 1.32510 | 0.662548 | − | 0.749020i | \(-0.269475\pi\) | ||||
0.662548 | + | 0.749020i | \(0.269475\pi\) | |||||||
\(480\) | 797560. | − | 141607.i | 0.158001 | − | 0.0280531i | ||||
\(481\) | −1.83989e6 | −0.362602 | ||||||||
\(482\) | − | 6.75818e6i | − | 1.32499i | ||||||
\(483\) | − | 11479.4i | − | 0.00223899i | ||||||
\(484\) | 1.80768e6 | 0.350759 | ||||||||
\(485\) | −538313. | − | 3.03190e6i | −0.103916 | − | 0.585276i | ||||
\(486\) | 1.27969e6 | 0.245762 | ||||||||
\(487\) | − | 752137.i | − | 0.143706i | −0.997415 | − | 0.0718529i | \(-0.977109\pi\) | ||
0.997415 | − | 0.0718529i | \(-0.0228912\pi\) | |||||||
\(488\) | − | 2.99055e6i | − | 0.568462i | ||||||
\(489\) | −1.04244e6 | −0.197141 | ||||||||
\(490\) | 656894. | + | 3.69977e6i | 0.123596 | + | 0.696121i | ||||
\(491\) | −8.71020e6 | −1.63051 | −0.815256 | − | 0.579100i | \(-0.803404\pi\) | ||||
−0.815256 | + | 0.579100i | \(0.803404\pi\) | |||||||
\(492\) | 3.00100e6i | 0.558924i | ||||||||
\(493\) | 2.63283e6i | 0.487872i | ||||||||
\(494\) | −982931. | −0.181220 | ||||||||
\(495\) | 515986. | − | 91613.2i | 0.0946509 | − | 0.0168053i | ||||
\(496\) | −1.81587e6 | −0.331421 | ||||||||
\(497\) | 61045.7i | 0.0110857i | ||||||||
\(498\) | 1.68763e6i | 0.304933i | ||||||||
\(499\) | −15775.8 | −0.00283623 | −0.00141811 | − | 0.999999i | \(-0.500451\pi\) | ||||
−0.00141811 | + | 0.999999i | \(0.500451\pi\) | |||||||
\(500\) | −2.41563e6 | + | 1.40614e6i | −0.432121 | + | 0.251539i | ||||
\(501\) | −8.48472e6 | −1.51023 | ||||||||
\(502\) | − | 2.21926e6i | − | 0.393050i | ||||||
\(503\) | − | 937195.i | − | 0.165162i | −0.996584 | − | 0.0825810i | \(-0.973684\pi\) | ||
0.996584 | − | 0.0825810i | \(-0.0263163\pi\) | |||||||
\(504\) | −4196.41 | −0.000735871 | ||||||||
\(505\) | 4.55098e6 | − | 808026.i | 0.794102 | − | 0.140993i | ||||
\(506\) | −463935. | −0.0805528 | ||||||||
\(507\) | 358974.i | 0.0620217i | ||||||||
\(508\) | 3.84176e6i | 0.660497i | ||||||||
\(509\) | −746746. | −0.127755 | −0.0638776 | − | 0.997958i | \(-0.520347\pi\) | ||||
−0.0638776 | + | 0.997958i | \(0.520347\pi\) | |||||||
\(510\) | 362393. | + | 2.04108e6i | 0.0616957 | + | 0.347484i | ||||
\(511\) | 82673.5 | 0.0140060 | ||||||||
\(512\) | 262144.i | 0.0441942i | ||||||||
\(513\) | − | 1.57772e6i | − | 0.264689i | ||||||
\(514\) | −7.76191e6 | −1.29587 | ||||||||
\(515\) | 51850.3 | + | 292032.i | 0.00861456 | + | 0.0485191i | ||||
\(516\) | −2.66837e6 | −0.441185 | ||||||||
\(517\) | − | 3.93372e6i | − | 0.647258i | ||||||
\(518\) | 17919.7i | 0.00293431i | ||||||||
\(519\) | 1.30417e6 | 0.212528 | ||||||||
\(520\) | 2.21858e6 | − | 393908.i | 0.359805 | − | 0.0638832i | ||||
\(521\) | −199402. | −0.0321836 | −0.0160918 | − | 0.999871i | \(-0.505122\pi\) | ||||
−0.0160918 | + | 0.999871i | \(0.505122\pi\) | |||||||
\(522\) | 687318.i | 0.110403i | ||||||||
\(523\) | − | 8.65539e6i | − | 1.38367i | −0.722055 | − | 0.691835i | \(-0.756802\pi\) | ||
0.722055 | − | 0.691835i | \(-0.243198\pi\) | |||||||
\(524\) | 50212.5 | 0.00798884 | ||||||||
\(525\) | −63668.5 | + | 23344.6i | −0.0100815 | + | 0.00369648i | ||||
\(526\) | 4.14074e6 | 0.652549 | ||||||||
\(527\) | − | 4.64708e6i | − | 0.728877i | ||||||
\(528\) | − | 794254.i | − | 0.123987i | ||||||
\(529\) | −279841. | −0.0434783 | ||||||||
\(530\) | 7.23937e6 | − | 1.28535e6i | 1.11947 | − | 0.198761i | ||||
\(531\) | 1.21614e6 | 0.187175 | ||||||||
\(532\) | 9573.26i | 0.00146650i | ||||||||
\(533\) | 8.34790e6i | 1.27280i | ||||||||
\(534\) | −4.11907e6 | −0.625094 | ||||||||
\(535\) | −43892.6 | − | 247213.i | −0.00662990 | − | 0.0373411i | ||||
\(536\) | 705135. | 0.106013 | ||||||||
\(537\) | 4.34645e6i | 0.650427i | ||||||||
\(538\) | − | 2.31025e6i | − | 0.344115i | ||||||
\(539\) | 3.68443e6 | 0.546259 | ||||||||
\(540\) | 632268. | + | 3.56107e6i | 0.0933076 | + | 0.525529i | ||||
\(541\) | 2.46716e6 | 0.362413 | 0.181207 | − | 0.983445i | \(-0.442000\pi\) | ||||
0.181207 | + | 0.983445i | \(0.442000\pi\) | |||||||
\(542\) | − | 4.43958e6i | − | 0.649148i | ||||||
\(543\) | − | 2.13078e6i | − | 0.310127i | ||||||
\(544\) | −670867. | −0.0971939 | ||||||||
\(545\) | −2.10414e6 | + | 373589.i | −0.303447 | + | 0.0538770i | ||||
\(546\) | 54668.2 | 0.00784790 | ||||||||
\(547\) | − | 1.56237e6i | − | 0.223263i | −0.993750 | − | 0.111631i | \(-0.964392\pi\) | ||
0.993750 | − | 0.111631i | \(-0.0356075\pi\) | |||||||
\(548\) | 2.91742e6i | 0.414999i | ||||||||
\(549\) | 1.99794e6 | 0.282912 | ||||||||
\(550\) | 943457. | + | 2.57313e6i | 0.132989 | + | 0.362706i | ||||
\(551\) | 1.56798e6 | 0.220019 | ||||||||
\(552\) | − | 479086.i | − | 0.0669216i | ||||||
\(553\) | − | 156779.i | − | 0.0218010i | ||||||
\(554\) | −7.14886e6 | −0.989606 | ||||||||
\(555\) | 2.27534e6 | − | 403986.i | 0.313555 | − | 0.0556717i | ||||
\(556\) | 1.61280e6 | 0.221255 | ||||||||
\(557\) | 7.59477e6i | 1.03723i | 0.855007 | + | 0.518617i | \(0.173553\pi\) | ||||
−0.855007 | + | 0.518617i | \(0.826447\pi\) | |||||||
\(558\) | − | 1.21315e6i | − | 0.164941i | ||||||
\(559\) | −7.42261e6 | −1.00468 | ||||||||
\(560\) | −3836.48 | − | 21607.9i | −0.000516966 | − | 0.00291167i | ||||
\(561\) | 2.03262e6 | 0.272677 | ||||||||
\(562\) | 57076.5i | 0.00762283i | ||||||||
\(563\) | − | 7.58578e6i | − | 1.00862i | −0.863522 | − | 0.504312i | \(-0.831746\pi\) | ||
0.863522 | − | 0.504312i | \(-0.168254\pi\) | |||||||
\(564\) | 4.06219e6 | 0.537728 | ||||||||
\(565\) | −241936. | − | 1.36263e6i | −0.0318844 | − | 0.179580i | ||||
\(566\) | 2.37339e6 | 0.311407 | ||||||||
\(567\) | 71815.5i | 0.00938124i | ||||||||
\(568\) | 2.54770e6i | 0.331343i | ||||||||
\(569\) | −6.86354e6 | −0.888725 | −0.444362 | − | 0.895847i | \(-0.646570\pi\) | ||||
−0.444362 | + | 0.895847i | \(0.646570\pi\) | |||||||
\(570\) | 1.21556e6 | − | 215823.i | 0.156707 | − | 0.0278234i | ||||
\(571\) | −1.08414e7 | −1.39154 | −0.695770 | − | 0.718264i | \(-0.744937\pi\) | ||||
−0.695770 | + | 0.718264i | \(0.744937\pi\) | |||||||
\(572\) | − | 2.20938e6i | − | 0.282346i | ||||||
\(573\) | 8.22091e6i | 1.04600i | ||||||||
\(574\) | 81304.4 | 0.0102999 | ||||||||
\(575\) | 569084. | + | 1.55208e6i | 0.0717806 | + | 0.195770i | ||||
\(576\) | −175134. | −0.0219945 | ||||||||
\(577\) | − | 5.00533e6i | − | 0.625883i | −0.949772 | − | 0.312941i | \(-0.898686\pi\) | ||
0.949772 | − | 0.312941i | \(-0.101314\pi\) | |||||||
\(578\) | 3.96258e6i | 0.493353i | ||||||||
\(579\) | 1.24888e7 | 1.54820 | ||||||||
\(580\) | −3.53910e6 | + | 628366.i | −0.436840 | + | 0.0775608i | ||||
\(581\) | 45722.1 | 0.00561935 | ||||||||
\(582\) | − | 3.11794e6i | − | 0.381558i | ||||||
\(583\) | − | 7.20936e6i | − | 0.878467i | ||||||
\(584\) | 3.45032e6 | 0.418627 | ||||||||
\(585\) | 263164. | + | 1.48220e6i | 0.0317934 | + | 0.179067i | ||||
\(586\) | −4.78234e6 | −0.575303 | ||||||||
\(587\) | 257953.i | 0.0308991i | 0.999881 | + | 0.0154496i | \(0.00491794\pi\) | ||||
−0.999881 | + | 0.0154496i | \(0.995082\pi\) | |||||||
\(588\) | 3.80476e6i | 0.453821i | ||||||||
\(589\) | −2.76756e6 | −0.328707 | ||||||||
\(590\) | 1.11183e6 | + | 6.26207e6i | 0.131495 | + | 0.740607i | ||||
\(591\) | 9.06998e6 | 1.06816 | ||||||||
\(592\) | 747864.i | 0.0877038i | ||||||||
\(593\) | − | 1.08797e7i | − | 1.27051i | −0.772301 | − | 0.635257i | \(-0.780894\pi\) | ||
0.772301 | − | 0.635257i | \(-0.219106\pi\) | |||||||
\(594\) | 3.54631e6 | 0.412393 | ||||||||
\(595\) | 55297.9 | − | 9818.13i | 0.00640348 | − | 0.00113694i | ||||
\(596\) | 2.20708e6 | 0.254509 | ||||||||
\(597\) | 1.37009e7i | 1.57330i | ||||||||
\(598\) | − | 1.33268e6i | − | 0.152396i | ||||||
\(599\) | 4.82031e6 | 0.548918 | 0.274459 | − | 0.961599i | \(-0.411501\pi\) | ||||
0.274459 | + | 0.961599i | \(0.411501\pi\) | |||||||
\(600\) | −2.65716e6 | + | 974270.i | −0.301328 | + | 0.110484i | ||||
\(601\) | −1.41939e7 | −1.60294 | −0.801469 | − | 0.598036i | \(-0.795948\pi\) | ||||
−0.801469 | + | 0.598036i | \(0.795948\pi\) | |||||||
\(602\) | 72292.6i | 0.00813023i | ||||||||
\(603\) | 471090.i | 0.0527607i | ||||||||
\(604\) | 242575. | 0.0270554 | ||||||||
\(605\) | −6.21852e6 | + | 1.10410e6i | −0.690715 | + | 0.122636i | ||||
\(606\) | 4.68013e6 | 0.517698 | ||||||||
\(607\) | − | 1.18194e7i | − | 1.30203i | −0.759064 | − | 0.651016i | \(-0.774343\pi\) | ||
0.759064 | − | 0.651016i | \(-0.225657\pi\) | |||||||
\(608\) | 399533.i | 0.0438323i | ||||||||
\(609\) | −87207.1 | −0.00952815 | ||||||||
\(610\) | 1.82657e6 | + | 1.02877e7i | 0.198752 | + | 1.11942i | ||||
\(611\) | 1.12998e7 | 1.22453 | ||||||||
\(612\) | − | 448196.i | − | 0.0483714i | ||||||
\(613\) | − | 6.80804e6i | − | 0.731763i | −0.930661 | − | 0.365882i | \(-0.880767\pi\) | ||
0.930661 | − | 0.365882i | \(-0.119233\pi\) | |||||||
\(614\) | 5.65639e6 | 0.605506 | ||||||||
\(615\) | −1.83295e6 | − | 1.03236e7i | −0.195418 | − | 1.10063i | ||||
\(616\) | −21518.3 | −0.00228484 | ||||||||
\(617\) | 2.44923e6i | 0.259010i | 0.991579 | + | 0.129505i | \(0.0413388\pi\) | ||||
−0.991579 | + | 0.129505i | \(0.958661\pi\) | |||||||
\(618\) | 300320.i | 0.0316310i | ||||||||
\(619\) | −5.31393e6 | −0.557429 | −0.278714 | − | 0.960374i | \(-0.589908\pi\) | ||||
−0.278714 | + | 0.960374i | \(0.589908\pi\) | |||||||
\(620\) | 6.24668e6 | − | 1.10910e6i | 0.652635 | − | 0.115875i | ||||
\(621\) | 2.13910e6 | 0.222588 | ||||||||
\(622\) | 1.06899e7i | 1.10790i | ||||||||
\(623\) | 111596.i | 0.0115193i | ||||||||
\(624\) | 2.28154e6 | 0.234567 | ||||||||
\(625\) | 7.45105e6 | − | 6.31263e6i | 0.762987 | − | 0.646414i | ||||
\(626\) | 1.59388e6 | 0.162562 | ||||||||
\(627\) | − | 1.21052e6i | − | 0.122971i | ||||||
\(628\) | 2.33603e6i | 0.236363i | ||||||||
\(629\) | −1.91390e6 | −0.192882 | ||||||||
\(630\) | 14435.9 | − | 2563.09i | 0.00144908 | − | 0.000257284i | ||||
\(631\) | 1.10479e7 | 1.10460 | 0.552302 | − | 0.833644i | \(-0.313749\pi\) | ||||
0.552302 | + | 0.833644i | \(0.313749\pi\) | |||||||
\(632\) | − | 6.54307e6i | − | 0.651612i | ||||||
\(633\) | − | 3.62865e6i | − | 0.359945i | ||||||
\(634\) | −5.10609e6 | −0.504504 | ||||||||
\(635\) | −2.34647e6 | − | 1.32159e7i | −0.230930 | − | 1.30065i | ||||
\(636\) | 7.44481e6 | 0.729812 | ||||||||
\(637\) | 1.05837e7i | 1.03345i | ||||||||
\(638\) | 3.52442e6i | 0.342797i | ||||||||
\(639\) | −1.70208e6 | −0.164902 | ||||||||
\(640\) | −160113. | − | 901790.i | −0.0154517 | − | 0.0870273i | ||||
\(641\) | 1.96723e7 | 1.89108 | 0.945542 | − | 0.325501i | \(-0.105533\pi\) | ||||
0.945542 | + | 0.325501i | \(0.105533\pi\) | |||||||
\(642\) | − | 254229.i | − | 0.0243437i | ||||||
\(643\) | 1.58115e7i | 1.50816i | 0.656784 | + | 0.754079i | \(0.271916\pi\) | ||||
−0.656784 | + | 0.754079i | \(0.728084\pi\) | |||||||
\(644\) | −12979.6 | −0.00123324 | ||||||||
\(645\) | 9.17933e6 | − | 1.62979e6i | 0.868783 | − | 0.154252i | ||||
\(646\) | −1.02247e6 | −0.0963981 | ||||||||
\(647\) | 4.14517e6i | 0.389297i | 0.980873 | + | 0.194649i | \(0.0623567\pi\) | ||||
−0.980873 | + | 0.194649i | \(0.937643\pi\) | |||||||
\(648\) | 2.99717e6i | 0.280397i | ||||||||
\(649\) | 6.23611e6 | 0.581168 | ||||||||
\(650\) | −7.39144e6 | + | 2.71013e6i | −0.686192 | + | 0.251598i | ||||
\(651\) | 153925. | 0.0142350 | ||||||||
\(652\) | 1.17867e6i | 0.108585i | ||||||||
\(653\) | 3.24380e6i | 0.297695i | 0.988860 | + | 0.148847i | \(0.0475563\pi\) | ||||
−0.988860 | + | 0.148847i | \(0.952444\pi\) | |||||||
\(654\) | −2.16385e6 | −0.197826 | ||||||||
\(655\) | −172734. | + | 30668.8i | −0.0157316 | + | 0.00279315i | ||||
\(656\) | 3.39318e6 | 0.307856 | ||||||||
\(657\) | 2.30510e6i | 0.208342i | ||||||||
\(658\) | − | 110055.i | − | 0.00990933i | ||||||
\(659\) | −1.16821e7 | −1.04787 | −0.523935 | − | 0.851759i | \(-0.675536\pi\) | ||||
−0.523935 | + | 0.851759i | \(0.675536\pi\) | |||||||
\(660\) | 485115. | + | 2.73228e6i | 0.0433496 | + | 0.244155i | ||||
\(661\) | 9.90399e6 | 0.881671 | 0.440836 | − | 0.897588i | \(-0.354682\pi\) | ||||
0.440836 | + | 0.897588i | \(0.354682\pi\) | |||||||
\(662\) | − | 1.08984e7i | − | 0.966539i | ||||||
\(663\) | 5.83881e6i | 0.515870i | ||||||||
\(664\) | 1.90818e6 | 0.167957 | ||||||||
\(665\) | −5847.17 | − | 32932.6i | −0.000512733 | − | 0.00288783i | ||||
\(666\) | −499636. | −0.0436484 | ||||||||
\(667\) | 2.12590e6i | 0.185024i | ||||||||
\(668\) | 9.59355e6i | 0.831837i | ||||||||
\(669\) | 1.93365e7 | 1.67037 | ||||||||
\(670\) | −2.42570e6 | + | 430683.i | −0.208762 | + | 0.0370656i | ||||
\(671\) | 1.02450e7 | 0.878428 | ||||||||
\(672\) | − | 22221.1i | − | 0.00189820i | ||||||
\(673\) | 3.59697e6i | 0.306126i | 0.988216 | + | 0.153063i | \(0.0489137\pi\) | ||||
−0.988216 | + | 0.153063i | \(0.951086\pi\) | |||||||
\(674\) | −6.79627e6 | −0.576263 | ||||||||
\(675\) | −4.35007e6 | − | 1.18641e7i | −0.367483 | − | 1.00225i | ||||
\(676\) | 405887. | 0.0341616 | ||||||||
\(677\) | 1.04284e7i | 0.874473i | 0.899346 | + | 0.437237i | \(0.144043\pi\) | ||||
−0.899346 | + | 0.437237i | \(0.855957\pi\) | |||||||
\(678\) | − | 1.40130e6i | − | 0.117073i | ||||||
\(679\) | −84472.7 | −0.00703140 | ||||||||
\(680\) | 2.30782e6 | − | 409753.i | 0.191395 | − | 0.0339821i | ||||
\(681\) | 1.84171e7 | 1.52179 | ||||||||
\(682\) | − | 6.22079e6i | − | 0.512135i | ||||||
\(683\) | − | 1.57875e7i | − | 1.29498i | −0.762074 | − | 0.647490i | \(-0.775819\pi\) | ||
0.762074 | − | 0.647490i | \(-0.224181\pi\) | |||||||
\(684\) | −266922. | −0.0218144 | ||||||||
\(685\) | −1.78190e6 | − | 1.00361e7i | −0.145097 | − | 0.817218i | ||||
\(686\) | 206175. | 0.0167273 | ||||||||
\(687\) | − | 6.40581e6i | − | 0.517824i | ||||||
\(688\) | 3.01708e6i | 0.243005i | ||||||||
\(689\) | 2.07093e7 | 1.66195 | ||||||||
\(690\) | 292617. | + | 1.64808e6i | 0.0233979 | + | 0.131782i | ||||
\(691\) | 1.13676e7 | 0.905680 | 0.452840 | − | 0.891592i | \(-0.350411\pi\) | ||||
0.452840 | + | 0.891592i | \(0.350411\pi\) | |||||||
\(692\) | − | 1.47461e6i | − | 0.117061i | ||||||
\(693\) | − | 14376.0i | − | 0.00113712i | ||||||
\(694\) | −1.01441e7 | −0.799496 | ||||||||
\(695\) | −5.54811e6 | + | 985065.i | −0.435695 | + | 0.0773576i | ||||
\(696\) | −3.63953e6 | −0.284788 | ||||||||
\(697\) | 8.68368e6i | 0.677052i | ||||||||
\(698\) | 7.51537e6i | 0.583864i | ||||||||
\(699\) | −1.38612e7 | −1.07302 | ||||||||
\(700\) | 26395.4 | + | 71989.0i | 0.00203602 | + | 0.00555292i | ||||
\(701\) | −2.10664e7 | −1.61918 | −0.809591 | − | 0.586994i | \(-0.800311\pi\) | ||||
−0.809591 | + | 0.586994i | \(0.800311\pi\) | |||||||
\(702\) | 1.01870e7i | 0.780194i | ||||||||
\(703\) | 1.13982e6i | 0.0869857i | ||||||||
\(704\) | −898052. | −0.0682920 | ||||||||
\(705\) | −1.39742e7 | + | 2.48111e6i | −1.05890 | + | 0.188007i | ||||
\(706\) | 121266. | 0.00915643 | ||||||||
\(707\) | − | 126796.i | − | 0.00954021i | ||||||
\(708\) | 6.43977e6i | 0.482823i | ||||||||
\(709\) | 1.63858e7 | 1.22420 | 0.612100 | − | 0.790781i | \(-0.290325\pi\) | ||||
0.612100 | + | 0.790781i | \(0.290325\pi\) | |||||||
\(710\) | −1.55609e6 | − | 8.76422e6i | −0.115848 | − | 0.652481i | ||||
\(711\) | 4.37132e6 | 0.324294 | ||||||||
\(712\) | 4.65737e6i | 0.344303i | ||||||||
\(713\) | − | 3.75232e6i | − | 0.276424i | ||||||
\(714\) | 56867.2 | 0.00417461 | ||||||||
\(715\) | 1.34945e6 | + | 7.60040e6i | 0.0987169 | + | 0.555995i | ||||
\(716\) | 4.91446e6 | 0.358256 | ||||||||
\(717\) | − | 9.79799e6i | − | 0.711769i | ||||||
\(718\) | 7.40636e6i | 0.536159i | ||||||||
\(719\) | 1.60559e7 | 1.15827 | 0.579137 | − | 0.815230i | \(-0.303390\pi\) | ||||
0.579137 | + | 0.815230i | \(0.303390\pi\) | |||||||
\(720\) | 602471. | − | 106969.i | 0.0433117 | − | 0.00768998i | ||||
\(721\) | 8136.40 | 0.000582900 | ||||||||
\(722\) | − | 9.29547e6i | − | 0.663633i | ||||||
\(723\) | 2.39083e7i | 1.70099i | ||||||||
\(724\) | −2.40924e6 | −0.170818 | ||||||||
\(725\) | 1.17909e7 | − | 4.32322e6i | 0.833108 | − | 0.305466i | ||||
\(726\) | −6.39499e6 | −0.450296 | ||||||||
\(727\) | − | 6.39709e6i | − | 0.448897i | −0.974486 | − | 0.224448i | \(-0.927942\pi\) | ||
0.974486 | − | 0.224448i | \(-0.0720580\pi\) | |||||||
\(728\) | − | 61812.5i | − | 0.00432263i | ||||||
\(729\) | −1.59070e7 | −1.10859 | ||||||||
\(730\) | −1.18693e7 | + | 2.10739e6i | −0.824361 | + | 0.146365i | ||||
\(731\) | −7.72118e6 | −0.534429 | ||||||||
\(732\) | 1.05796e7i | 0.729779i | ||||||||
\(733\) | − | 2.63593e7i | − | 1.81207i | −0.423205 | − | 0.906034i | \(-0.639095\pi\) | ||
0.423205 | − | 0.906034i | \(-0.360905\pi\) | |||||||
\(734\) | 5.75731e6 | 0.394439 | ||||||||
\(735\) | −2.32388e6 | − | 1.30886e7i | −0.158670 | − | 0.893665i | ||||
\(736\) | −541696. | −0.0368605 | ||||||||
\(737\) | 2.41565e6i | 0.163819i | ||||||||
\(738\) | 2.26693e6i | 0.153214i | ||||||||
\(739\) | −1.89946e7 | −1.27944 | −0.639719 | − | 0.768609i | \(-0.720949\pi\) | ||||
−0.639719 | + | 0.768609i | \(0.720949\pi\) | |||||||
\(740\) | −456781. | − | 2.57269e6i | −0.0306640 | − | 0.172707i | ||||
\(741\) | 3.47729e6 | 0.232646 | ||||||||
\(742\) | − | 201698.i | − | 0.0134491i | ||||||
\(743\) | 1.51089e7i | 1.00406i | 0.864849 | + | 0.502032i | \(0.167414\pi\) | ||||
−0.864849 | + | 0.502032i | \(0.832586\pi\) | |||||||
\(744\) | 6.42395e6 | 0.425471 | ||||||||
\(745\) | −7.59249e6 | + | 1.34804e6i | −0.501180 | + | 0.0889844i | ||||
\(746\) | −5.31111e6 | −0.349412 | ||||||||
\(747\) | 1.27483e6i | 0.0835890i | ||||||||
\(748\) | − | 2.29825e6i | − | 0.150191i | ||||||
\(749\) | −6887.68 | −0.000448609 | ||||||||
\(750\) | 8.54571e6 | − | 4.97448e6i | 0.554747 | − | 0.322920i | ||||
\(751\) | −7.92257e6 | −0.512585 | −0.256293 | − | 0.966599i | \(-0.582501\pi\) | ||||
−0.256293 | + | 0.966599i | \(0.582501\pi\) | |||||||
\(752\) | − | 4.59306e6i | − | 0.296181i | ||||||
\(753\) | 7.85101e6i | 0.504589i | ||||||||
\(754\) | −1.01241e7 | −0.648527 | ||||||||
\(755\) | −834472. | + | 148160.i | −0.0532776 | + | 0.00945942i | ||||
\(756\) | 99216.2 | 0.00631361 | ||||||||
\(757\) | 1.90710e7i | 1.20958i | 0.796385 | + | 0.604790i | \(0.206743\pi\) | ||||
−0.796385 | + | 0.604790i | \(0.793257\pi\) | |||||||
\(758\) | − | 1.17636e7i | − | 0.743646i | ||||||
\(759\) | 1.64125e6 | 0.103412 | ||||||||
\(760\) | −244027. | − | 1.37442e6i | −0.0153252 | − | 0.0863147i | ||||
\(761\) | −2.86186e6 | −0.179138 | −0.0895689 | − | 0.995981i | \(-0.528549\pi\) | ||||
−0.0895689 | + | 0.995981i | \(0.528549\pi\) | |||||||
\(762\) | − | 1.35909e7i | − | 0.847932i | ||||||
\(763\) | 58624.0i | 0.00364556i | ||||||||
\(764\) | 9.29527e6 | 0.576140 | ||||||||
\(765\) | 273749. | + | 1.54182e6i | 0.0169122 | + | 0.0952532i | ||||
\(766\) | −9.17445e6 | −0.564948 | ||||||||
\(767\) | 1.79136e7i | 1.09950i | ||||||||
\(768\) | − | 927381.i | − | 0.0567355i | ||||||
\(769\) | −3.12303e7 | −1.90441 | −0.952204 | − | 0.305462i | \(-0.901189\pi\) | ||||
−0.952204 | + | 0.305462i | \(0.901189\pi\) | |||||||
\(770\) | 74024.2 | − | 13143.0i | 0.00449932 | − | 0.000798853i | ||||
\(771\) | 2.74591e7 | 1.66361 | ||||||||
\(772\) | − | 1.41210e7i | − | 0.852748i | ||||||
\(773\) | − | 3.81991e6i | − | 0.229934i | −0.993369 | − | 0.114967i | \(-0.963324\pi\) | ||
0.993369 | − | 0.114967i | \(-0.0366763\pi\) | |||||||
\(774\) | −2.01566e6 | −0.120939 | ||||||||
\(775\) | −2.08115e7 | + | 7.63071e6i | −1.24466 | + | 0.456363i | ||||
\(776\) | −3.52541e6 | −0.210162 | ||||||||
\(777\) | − | 63394.0i | − | 0.00376700i | ||||||
\(778\) | 3.05183e6i | 0.180764i | ||||||||
\(779\) | 5.17155e6 | 0.305335 | ||||||||
\(780\) | −7.84862e6 | + | 1.39352e6i | −0.461909 | + | 0.0820119i | ||||
\(781\) | −8.72789e6 | −0.512014 | ||||||||
\(782\) | − | 1.38628e6i | − | 0.0810654i | ||||||
\(783\) | − | 1.62503e7i | − | 0.947236i | ||||||
\(784\) | 4.30199e6 | 0.249965 | ||||||||
\(785\) | −1.42680e6 | − | 8.03608e6i | −0.0826400 | − | 0.465447i | ||||
\(786\) | −177636. | −0.0102559 | ||||||||
\(787\) | − | 8.19748e6i | − | 0.471784i | −0.971779 | − | 0.235892i | \(-0.924199\pi\) | ||
0.971779 | − | 0.235892i | \(-0.0758012\pi\) | |||||||
\(788\) | − | 1.02553e7i | − | 0.588346i | ||||||
\(789\) | −1.46486e7 | −0.837729 | ||||||||
\(790\) | 3.99638e6 | + | 2.25085e7i | 0.227824 | + | 1.28316i | ||||
\(791\) | −37964.8 | −0.00215745 | ||||||||
\(792\) | − | 599974.i | − | 0.0339875i | ||||||
\(793\) | 2.94294e7i | 1.66187i | ||||||||
\(794\) | −7.14273e6 | −0.402081 | ||||||||
\(795\) | −2.56106e7 | + | 4.54715e6i | −1.43715 | + | 0.255165i | ||||
\(796\) | 1.54914e7 | 0.866578 | ||||||||
\(797\) | − | 1.25909e6i | − | 0.0702121i | −0.999384 | − | 0.0351061i | \(-0.988823\pi\) | ||
0.999384 | − | 0.0351061i | \(-0.0111769\pi\) | |||||||
\(798\) | − | 33867.1i | − | 0.00188266i | ||||||
\(799\) | 1.17544e7 | 0.651376 | ||||||||
\(800\) | 1.10159e6 | + | 3.00441e6i | 0.0608550 | + | 0.165972i | ||||
\(801\) | −3.11151e6 | −0.171352 | ||||||||
\(802\) | 9.03698e6i | 0.496121i | ||||||||
\(803\) | 1.18201e7i | 0.646892i | ||||||||
\(804\) | −2.49454e6 | −0.136098 | ||||||||
\(805\) | 44650.7 | − | 7927.72i | 0.00242850 | − | 0.000431180i | ||||
\(806\) | 1.78696e7 | 0.968894 | ||||||||
\(807\) | 8.17292e6i | 0.441767i | ||||||||
\(808\) | − | 5.29175e6i | − | 0.285148i | ||||||
\(809\) | 2.67193e7 | 1.43534 | 0.717668 | − | 0.696385i | \(-0.245209\pi\) | ||||
0.717668 | + | 0.696385i | \(0.245209\pi\) | |||||||
\(810\) | −1.83061e6 | − | 1.03104e7i | −0.0980357 | − | 0.552159i | ||||
\(811\) | −1.69459e7 | −0.904717 | −0.452359 | − | 0.891836i | \(-0.649417\pi\) | ||||
−0.452359 | + | 0.891836i | \(0.649417\pi\) | |||||||
\(812\) | 98603.8i | 0.00524812i | ||||||||
\(813\) | 1.57058e7i | 0.833362i | ||||||||
\(814\) | −2.56203e6 | −0.135526 | ||||||||
\(815\) | −719907. | − | 4.05468e6i | −0.0379649 | − | 0.213827i | ||||
\(816\) | 2.37331e6 | 0.124776 | ||||||||
\(817\) | 4.59833e6i | 0.241016i | ||||||||
\(818\) | − | 1.62129e7i | − | 0.847182i | ||||||
\(819\) | 41296.0 | 0.00215128 | ||||||||
\(820\) | −1.16727e7 | + | 2.07249e6i | −0.606231 | + | 0.107636i | ||||
\(821\) | 2.66090e7 | 1.37775 | 0.688876 | − | 0.724879i | \(-0.258104\pi\) | ||||
0.688876 | + | 0.724879i | \(0.258104\pi\) | |||||||
\(822\) | − | 1.03209e7i | − | 0.532767i | ||||||
\(823\) | − | 2.24043e7i | − | 1.15301i | −0.817095 | − | 0.576504i | \(-0.804417\pi\) | ||
0.817095 | − | 0.576504i | \(-0.195583\pi\) | |||||||
\(824\) | 339567. | 0.0174224 | ||||||||
\(825\) | −3.33765e6 | − | 9.10289e6i | −0.170728 | − | 0.465634i | ||||
\(826\) | 174469. | 0.00889752 | ||||||||
\(827\) | 1.91344e7i | 0.972862i | 0.873719 | + | 0.486431i | \(0.161701\pi\) | ||||
−0.873719 | + | 0.486431i | \(0.838299\pi\) | |||||||
\(828\) | − | 361898.i | − | 0.0183447i | ||||||
\(829\) | −5.05760e6 | −0.255599 | −0.127799 | − | 0.991800i | \(-0.540791\pi\) | ||||
−0.127799 | + | 0.991800i | \(0.540791\pi\) | |||||||
\(830\) | −6.56425e6 | + | 1.16548e6i | −0.330742 | + | 0.0587232i | ||||
\(831\) | 2.52903e7 | 1.27043 | ||||||||
\(832\) | − | 2.57970e6i | − | 0.129200i | ||||||
\(833\) | 1.10095e7i | 0.549735i | ||||||||
\(834\) | −5.70555e6 | −0.284042 | ||||||||
\(835\) | −5.85956e6 | − | 3.30023e7i | −0.290836 | − | 1.63806i | ||||
\(836\) | −1.36872e6 | −0.0677328 | ||||||||
\(837\) | 2.86827e7i | 1.41516i | ||||||||
\(838\) | 2.96525e6i | 0.145865i | ||||||||
\(839\) | −2.20620e7 | −1.08203 | −0.541015 | − | 0.841013i | \(-0.681960\pi\) | ||||
−0.541015 | + | 0.841013i | \(0.681960\pi\) | |||||||
\(840\) | 13572.2 | + | 76441.7i | 0.000663670 | + | 0.00373794i | ||||
\(841\) | −4.36110e6 | −0.212621 | ||||||||
\(842\) | − | 2.26933e7i | − | 1.10311i | ||||||
\(843\) | − | 201918.i | − | 0.00978603i | ||||||
\(844\) | −4.10286e6 | −0.198258 | ||||||||
\(845\) | −1.39627e6 | + | 247908.i | −0.0672711 | + | 0.0119440i | ||||
\(846\) | 3.06855e6 | 0.147403 | ||||||||
\(847\) | 173256.i | 0.00829813i | ||||||||
\(848\) | − | 8.41774e6i | − | 0.401981i | ||||||
\(849\) | −8.39629e6 | −0.399777 | ||||||||
\(850\) | −7.68876e6 | + | 2.81915e6i | −0.365013 | + | 0.133835i | ||||
\(851\) | −1.54539e6 | −0.0731501 | ||||||||
\(852\) | − | 9.01294e6i | − | 0.425371i | ||||||
\(853\) | − | 2.04264e7i | − | 0.961214i | −0.876936 | − | 0.480607i | \(-0.840416\pi\) | ||
0.876936 | − | 0.480607i | \(-0.159584\pi\) | |||||||
\(854\) | 286627. | 0.0134485 | ||||||||
\(855\) | 918226. | − | 163031.i | 0.0429570 | − | 0.00762701i | ||||
\(856\) | −287452. | −0.0134085 | ||||||||
\(857\) | 3.89718e6i | 0.181258i | 0.995885 | + | 0.0906292i | \(0.0288878\pi\) | ||||
−0.995885 | + | 0.0906292i | \(0.971112\pi\) | |||||||
\(858\) | 7.81608e6i | 0.362469i | ||||||||
\(859\) | −2.90283e7 | −1.34227 | −0.671133 | − | 0.741337i | \(-0.734192\pi\) | ||||
−0.671133 | + | 0.741337i | \(0.734192\pi\) | |||||||
\(860\) | −1.84278e6 | − | 1.03789e7i | −0.0849624 | − | 0.478527i | ||||
\(861\) | −287629. | −0.0132228 | ||||||||
\(862\) | − | 2.98615e6i | − | 0.136881i | ||||||
\(863\) | − | 5.36756e6i | − | 0.245330i | −0.992448 | − | 0.122665i | \(-0.960856\pi\) | ||
0.992448 | − | 0.122665i | \(-0.0391440\pi\) | |||||||
\(864\) | 4.14072e6 | 0.188708 | ||||||||
\(865\) | 900661. | + | 5.07272e6i | 0.0409281 | + | 0.230516i | ||||
\(866\) | 1.41144e7 | 0.639539 | ||||||||
\(867\) | − | 1.40183e7i | − | 0.633356i | ||||||
\(868\) | − | 174041.i | − | 0.00784064i | ||||||
\(869\) | 2.24152e7 | 1.00692 | ||||||||
\(870\) | 1.25202e7 | − | 2.22296e6i | 0.560806 | − | 0.0995709i | ||||
\(871\) | −6.93909e6 | −0.309925 | ||||||||
\(872\) | 2.44663e6i | 0.108963i | ||||||||
\(873\) | − | 2.35527e6i | − | 0.104594i | ||||||
\(874\) | −825598. | −0.0365587 | ||||||||
\(875\) | −134771. | − | 231524.i | −0.00595082 | − | 0.0102230i | ||||
\(876\) | −1.22061e7 | −0.537424 | ||||||||
\(877\) | − | 3.29965e7i | − | 1.44867i | −0.689450 | − | 0.724333i | \(-0.742148\pi\) | ||
0.689450 | − | 0.724333i | \(-0.257852\pi\) | |||||||
\(878\) | 8.34822e6i | 0.365475i | ||||||||
\(879\) | 1.69184e7 | 0.738561 | ||||||||
\(880\) | 3.08935e6 | − | 548513.i | 0.134481 | − | 0.0238770i | ||||
\(881\) | −3.83926e7 | −1.66651 | −0.833254 | − | 0.552891i | \(-0.813525\pi\) | ||||
−0.833254 | + | 0.552891i | \(0.813525\pi\) | |||||||
\(882\) | 2.87409e6i | 0.124402i | ||||||||
\(883\) | 3.89550e6i | 0.168136i | 0.996460 | + | 0.0840681i | \(0.0267913\pi\) | ||||
−0.996460 | + | 0.0840681i | \(0.973209\pi\) | |||||||
\(884\) | 6.60186e6 | 0.284142 | ||||||||
\(885\) | −3.93329e6 | − | 2.21532e7i | −0.168810 | − | 0.950775i | ||||
\(886\) | 1.84677e7 | 0.790364 | ||||||||
\(887\) | 3.91229e7i | 1.66964i | 0.550525 | + | 0.834819i | \(0.314427\pi\) | ||||
−0.550525 | + | 0.834819i | \(0.685573\pi\) | |||||||
\(888\) | − | 2.64570e6i | − | 0.112592i | ||||||
\(889\) | −368211. | −0.0156258 | ||||||||
\(890\) | −2.84463e6 | − | 1.60216e7i | −0.120379 | − | 0.678002i | ||||
\(891\) | −1.02677e7 | −0.433290 | ||||||||
\(892\) | − | 2.18635e7i | − | 0.920042i | ||||||
\(893\) | − | 7.00028e6i | − | 0.293756i | ||||||
\(894\) | −7.80795e6 | −0.326733 | ||||||||
\(895\) | −1.69060e7 | + | 3.00166e6i | −0.705479 | + | 0.125258i | ||||
\(896\) | −25125.0 | −0.00104553 | ||||||||
\(897\) | 4.71459e6i | 0.195642i | ||||||||
\(898\) | − | 8.54536e6i | − | 0.353622i | ||||||
\(899\) | −2.85056e7 | −1.17634 | ||||||||
\(900\) | −2.00720e6 | + | 735956.i | −0.0826008 | + | 0.0302863i | ||||
\(901\) | 2.15423e7 | 0.884057 | ||||||||
\(902\) | 1.16244e7i | 0.475721i | ||||||||
\(903\) | − | 255748.i | − | 0.0104374i | ||||||
\(904\) | −1.58443e6 | −0.0644842 | ||||||||
\(905\) | 8.28793e6 | − | 1.47152e6i | 0.336376 | − | 0.0597234i | ||||
\(906\) | −858153. | −0.0347332 | ||||||||
\(907\) | 1.75220e7i | 0.707239i | 0.935389 | + | 0.353620i | \(0.115049\pi\) | ||||
−0.935389 | + | 0.353620i | \(0.884951\pi\) | |||||||
\(908\) | − | 2.08239e7i | − | 0.838201i | ||||||
\(909\) | 3.53534e6 | 0.141913 | ||||||||
\(910\) | 37753.9 | + | 212639.i | 0.00151133 | + | 0.00851213i | ||||
\(911\) | −4.85291e6 | −0.193734 | −0.0968670 | − | 0.995297i | \(-0.530882\pi\) | ||||
−0.0968670 | + | 0.995297i | \(0.530882\pi\) | |||||||
\(912\) | − | 1.41342e6i | − | 0.0562710i | ||||||
\(913\) | 6.53704e6i | 0.259540i | ||||||||
\(914\) | −400634. | −0.0158629 | ||||||||
\(915\) | −6.46182e6 | − | 3.63944e7i | −0.255154 | − | 1.43708i | ||||
\(916\) | −7.24295e6 | −0.285218 | ||||||||
\(917\) | 4812.59i | 0.000188997i | ||||||||
\(918\) | 1.05967e7i | 0.415017i | ||||||||
\(919\) | −2.25255e7 | −0.879803 | −0.439901 | − | 0.898046i | \(-0.644987\pi\) | ||||
−0.439901 | + | 0.898046i | \(0.644987\pi\) | |||||||
\(920\) | 1.86346e6 | − | 330858.i | 0.0725858 | − | 0.0128876i | ||||
\(921\) | −2.00105e7 | −0.777336 | ||||||||
\(922\) | − | 1.51042e7i | − | 0.585153i | ||||||
\(923\) | − | 2.50714e7i | − | 0.968665i | ||||||
\(924\) | 76124.8 | 0.00293323 | ||||||||
\(925\) | 3.14271e6 | + | 8.57122e6i | 0.120767 | + | 0.329373i | ||||
\(926\) | 9.30473e6 | 0.356596 | ||||||||
\(927\) | 226859.i | 0.00867076i | ||||||||
\(928\) | 4.11516e6i | 0.156862i | ||||||||
\(929\) | −2.50840e7 | −0.953581 | −0.476791 | − | 0.879017i | \(-0.658200\pi\) | ||||
−0.476791 | + | 0.879017i | \(0.658200\pi\) | |||||||
\(930\) | −2.20987e7 | + | 3.92363e6i | −0.837838 | + | 0.148758i | ||||
\(931\) | 6.55666e6 | 0.247918 | ||||||||
\(932\) | 1.56726e7i | 0.591020i | ||||||||
\(933\) | − | 3.78176e7i | − | 1.42229i | ||||||
\(934\) | 1.89184e7 | 0.709606 | ||||||||
\(935\) | 1.40373e6 | + | 7.90612e6i | 0.0525115 | + | 0.295756i | ||||
\(936\) | 1.72346e6 | 0.0643000 | ||||||||
\(937\) | − | 2.23564e6i | − | 0.0831864i | −0.999135 | − | 0.0415932i | \(-0.986757\pi\) | ||
0.999135 | − | 0.0415932i | \(-0.0132434\pi\) | |||||||
\(938\) | 67583.3i | 0.00250803i | ||||||||
\(939\) | −5.63863e6 | −0.208694 | ||||||||
\(940\) | 2.80536e6 | + | 1.58004e7i | 0.103554 | + | 0.583241i | ||||
\(941\) | −8.87004e6 | −0.326551 | −0.163276 | − | 0.986580i | \(-0.552206\pi\) | ||||
−0.163276 | + | 0.986580i | \(0.552206\pi\) | |||||||
\(942\) | − | 8.26413e6i | − | 0.303438i | ||||||
\(943\) | 7.01170e6i | 0.256770i | ||||||||
\(944\) | 7.28136e6 | 0.265939 | ||||||||
\(945\) | −341309. | + | 60599.4i | −0.0124328 | + | 0.00220744i | ||||
\(946\) | −1.03359e7 | −0.375509 | ||||||||
\(947\) | − | 3.36858e7i | − | 1.22060i | −0.792171 | − | 0.610299i | \(-0.791049\pi\) | ||
0.792171 | − | 0.610299i | \(-0.208951\pi\) | |||||||
\(948\) | 2.31473e7i | 0.836525i | ||||||||
\(949\) | −3.39539e7 | −1.22384 | ||||||||
\(950\) | 1.67894e6 | + | 4.57902e6i | 0.0603566 | + | 0.164613i | ||||
\(951\) | 1.80637e7 | 0.647672 | ||||||||
\(952\) | − | 64298.9i | − | 0.00229938i | ||||||
\(953\) | 3.19415e7i | 1.13926i | 0.821901 | + | 0.569631i | \(0.192914\pi\) | ||||
−0.821901 | + | 0.569631i | \(0.807086\pi\) | |||||||
\(954\) | 5.62376e6 | 0.200058 | ||||||||
\(955\) | −3.19762e7 | + | 5.67737e6i | −1.13454 | + | 0.201437i | ||||
\(956\) | −1.10784e7 | −0.392043 | ||||||||
\(957\) | − | 1.24683e7i | − | 0.440075i | ||||||
\(958\) | 2.66162e7i | 0.936984i | ||||||||
\(959\) | −279618. | −0.00981791 | ||||||||
\(960\) | 566427. | + | 3.19024e6i | 0.0198365 | + | 0.111724i | ||||
\(961\) | 2.16848e7 | 0.757436 | ||||||||
\(962\) | − | 7.35957e6i | − | 0.256398i | ||||||
\(963\) | − | 192042.i | − | 0.00667316i | ||||||
\(964\) | 2.70327e7 | 0.936908 | ||||||||
\(965\) | 8.62481e6 | + | 4.85769e7i | 0.298148 | + | 1.67923i | ||||
\(966\) | 45917.8 | 0.00158321 | ||||||||
\(967\) | 2.60523e7i | 0.895942i | 0.894048 | + | 0.447971i | \(0.147853\pi\) | ||||
−0.894048 | + | 0.447971i | \(0.852147\pi\) | |||||||
\(968\) | 7.23072e6i | 0.248024i | ||||||||
\(969\) | 3.61716e6 | 0.123754 | ||||||||
\(970\) | 1.21276e7 | − | 2.15325e6i | 0.413852 | − | 0.0734794i | ||||
\(971\) | 5.18849e7 | 1.76601 | 0.883005 | − | 0.469363i | \(-0.155516\pi\) | ||||
0.883005 | + | 0.469363i | \(0.155516\pi\) | |||||||
\(972\) | 5.11877e6i | 0.173780i | ||||||||
\(973\) | 154577.i | 0.00523437i | ||||||||
\(974\) | 3.00855e6 | 0.101615 | ||||||||
\(975\) | 2.61485e7 | − | 9.58758e6i | 0.880919 | − | 0.322996i | ||||
\(976\) | 1.19622e7 | 0.401963 | ||||||||
\(977\) | 3.19273e7i | 1.07011i | 0.844819 | + | 0.535053i | \(0.179708\pi\) | ||||
−0.844819 | + | 0.535053i | \(0.820292\pi\) | |||||||
\(978\) | − | 4.16974e6i | − | 0.139400i | ||||||
\(979\) | −1.59552e7 | −0.532041 | ||||||||
\(980\) | −1.47991e7 | + | 2.62757e6i | −0.492232 | + | 0.0873957i | ||||
\(981\) | −1.63456e6 | −0.0542285 | ||||||||
\(982\) | − | 3.48408e7i | − | 1.15295i | ||||||
\(983\) | − | 2.50693e7i | − | 0.827480i | −0.910395 | − | 0.413740i | \(-0.864222\pi\) | ||
0.910395 | − | 0.413740i | \(-0.135778\pi\) | |||||||
\(984\) | −1.20040e7 | −0.395219 | ||||||||
\(985\) | 6.26374e6 | + | 3.52788e7i | 0.205704 | + | 1.15857i | ||||
\(986\) | −1.05313e7 | −0.344978 | ||||||||
\(987\) | 389339.i | 0.0127214i | ||||||||
\(988\) | − | 3.93172e6i | − | 0.128142i | ||||||
\(989\) | −6.23452e6 | −0.202681 | ||||||||
\(990\) | 366453. | + | 2.06394e6i | 0.0118831 | + | 0.0669283i | ||||
\(991\) | 3.58435e7 | 1.15938 | 0.579690 | − | 0.814837i | \(-0.303174\pi\) | ||||
0.579690 | + | 0.814837i | \(0.303174\pi\) | |||||||
\(992\) | − | 7.26347e6i | − | 0.234350i | ||||||
\(993\) | 3.85552e7i | 1.24082i | ||||||||
\(994\) | −244183. | −0.00783879 | ||||||||
\(995\) | −5.32912e7 | + | 9.46185e6i | −1.70647 | + | 0.302983i | ||||
\(996\) | −6.75053e6 | −0.215620 | ||||||||
\(997\) | − | 6.94641e6i | − | 0.221321i | −0.993858 | − | 0.110661i | \(-0.964703\pi\) | ||
0.993858 | − | 0.110661i | \(-0.0352966\pi\) | |||||||
\(998\) | − | 63103.4i | − | 0.00200552i | ||||||
\(999\) | 1.18130e7 | 0.374494 |
(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.139.17 | yes | 26 | |
5.4 | even | 2 | inner | 230.6.b.a.139.10 | ✓ | 26 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.6.b.a.139.10 | ✓ | 26 | 5.4 | even | 2 | inner | |
230.6.b.a.139.17 | yes | 26 | 1.1 | even | 1 | trivial |