Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,6,Mod(37,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.37");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.g (of order \(3\), degree \(2\), 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: | \(20.2083612964\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{9601})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + 2401x^{2} + 2400x + 5760000 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 42) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 109.2 | ||
Root | \(-24.2462 - 41.9956i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.109 |
Dual form | 126.6.g.h.37.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.00000 | + | 3.46410i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −8.00000 | + | 13.8564i | −0.250000 | + | 0.433013i | ||||
\(5\) | 11.2462 | + | 19.4789i | 0.201178 | + | 0.348450i | 0.948908 | − | 0.315552i | \(-0.102190\pi\) |
−0.747730 | + | 0.664002i | \(0.768856\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −96.4847 | − | 86.5893i | −0.744241 | − | 0.667912i | ||||
\(8\) | −64.0000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −44.9847 | + | 77.9158i | −0.142254 | + | 0.246391i | ||||
\(11\) | 170.231 | − | 294.849i | 0.424186 | − | 0.734712i | −0.572158 | − | 0.820144i | \(-0.693894\pi\) |
0.996344 | + | 0.0854314i | \(0.0272268\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −728.416 | −1.19542 | −0.597711 | − | 0.801712i | \(-0.703923\pi\) | ||||
−0.597711 | + | 0.801712i | \(0.703923\pi\) | |||||||
\(14\) | 106.985 | − | 507.411i | 0.145882 | − | 0.691895i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −128.000 | − | 221.703i | −0.125000 | − | 0.216506i | ||||
\(17\) | 404.923 | − | 701.348i | 0.339821 | − | 0.588588i | −0.644578 | − | 0.764539i | \(-0.722967\pi\) |
0.984399 | + | 0.175951i | \(0.0563001\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −513.101 | − | 888.717i | −0.326076 | − | 0.564780i | 0.655654 | − | 0.755062i | \(-0.272393\pi\) |
−0.981730 | + | 0.190282i | \(0.939060\pi\) | |||||||
\(20\) | −359.878 | −0.201178 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1361.85 | 0.599890 | ||||||||
\(23\) | 711.015 | + | 1231.51i | 0.280259 | + | 0.485423i | 0.971448 | − | 0.237251i | \(-0.0762464\pi\) |
−0.691190 | + | 0.722674i | \(0.742913\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1309.55 | − | 2268.20i | 0.419055 | − | 0.725825i | ||||
\(26\) | −1456.83 | − | 2523.31i | −0.422645 | − | 0.732043i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1971.69 | − | 644.217i | 0.475274 | − | 0.155288i | ||||
\(29\) | −5218.03 | −1.15216 | −0.576079 | − | 0.817394i | \(-0.695418\pi\) | ||||
−0.576079 | + | 0.817394i | \(0.695418\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3518.87 | − | 6094.87i | 0.657657 | − | 1.13909i | −0.323564 | − | 0.946206i | \(-0.604881\pi\) |
0.981221 | − | 0.192889i | \(-0.0617856\pi\) | |||||||
\(32\) | 512.000 | − | 886.810i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3239.39 | 0.480580 | ||||||||
\(35\) | 601.584 | − | 2853.22i | 0.0830092 | − | 0.393699i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6396.05 | − | 11078.3i | −0.768082 | − | 1.33036i | −0.938601 | − | 0.345004i | \(-0.887878\pi\) |
0.170519 | − | 0.985354i | \(-0.445456\pi\) | |||||||
\(38\) | 2052.40 | − | 3554.87i | 0.230570 | − | 0.399360i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −719.755 | − | 1246.65i | −0.0711270 | − | 0.123196i | ||||
\(41\) | −1173.51 | −0.109025 | −0.0545124 | − | 0.998513i | \(-0.517360\pi\) | ||||
−0.0545124 | + | 0.998513i | \(0.517360\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3664.17 | 0.302207 | 0.151103 | − | 0.988518i | \(-0.451717\pi\) | ||||
0.151103 | + | 0.988518i | \(0.451717\pi\) | |||||||
\(44\) | 2723.69 | + | 4717.58i | 0.212093 | + | 0.367356i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2844.06 | + | 4926.06i | −0.198173 | + | 0.343246i | ||||
\(47\) | 4656.60 | + | 8065.46i | 0.307485 | + | 0.532580i | 0.977812 | − | 0.209487i | \(-0.0671793\pi\) |
−0.670326 | + | 0.742066i | \(0.733846\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1811.59 | + | 16709.1i | 0.107788 | + | 0.994174i | ||||
\(50\) | 10476.4 | 0.592633 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 5827.33 | − | 10093.2i | 0.298855 | − | 0.517633i | ||||
\(53\) | 17821.4 | − | 30867.6i | 0.871469 | − | 1.50943i | 0.0109916 | − | 0.999940i | \(-0.496501\pi\) |
0.860477 | − | 0.509489i | \(-0.170165\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7657.78 | 0.341347 | ||||||||
\(56\) | 6175.02 | + | 5541.71i | 0.263129 | + | 0.236142i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −10436.1 | − | 18075.8i | −0.407349 | − | 0.705549i | ||||
\(59\) | −15188.1 | + | 26306.5i | −0.568033 | + | 0.983861i | 0.428728 | + | 0.903434i | \(0.358962\pi\) |
−0.996760 | + | 0.0804276i | \(0.974371\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −16093.1 | − | 27874.1i | −0.553753 | − | 0.959128i | −0.997999 | − | 0.0632231i | \(-0.979862\pi\) |
0.444247 | − | 0.895904i | \(-0.353471\pi\) | |||||||
\(62\) | 28151.0 | 0.930067 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4096.00 | 0.125000 | ||||||||
\(65\) | −8191.89 | − | 14188.8i | −0.240492 | − | 0.416544i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −10675.5 | + | 18490.6i | −0.290538 | + | 0.503226i | −0.973937 | − | 0.226819i | \(-0.927168\pi\) |
0.683399 | + | 0.730045i | \(0.260501\pi\) | |||||||
\(68\) | 6478.78 | + | 11221.6i | 0.169911 | + | 0.294294i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 11087.0 | − | 3622.49i | 0.270439 | − | 0.0883612i | ||||
\(71\) | −61153.7 | −1.43972 | −0.719859 | − | 0.694121i | \(-0.755793\pi\) | ||||
−0.719859 | + | 0.694121i | \(0.755793\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −20633.9 | + | 35739.0i | −0.453184 | + | 0.784937i | −0.998582 | − | 0.0532401i | \(-0.983045\pi\) |
0.545398 | + | 0.838177i | \(0.316378\pi\) | |||||||
\(74\) | 25584.2 | − | 44313.2i | 0.543116 | − | 0.940705i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 16419.2 | 0.326076 | ||||||||
\(77\) | −41955.4 | + | 13708.2i | −0.806419 | + | 0.263484i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 17500.2 | + | 30311.3i | 0.315483 | + | 0.546433i | 0.979540 | − | 0.201249i | \(-0.0645001\pi\) |
−0.664057 | + | 0.747682i | \(0.731167\pi\) | |||||||
\(80\) | 2879.02 | − | 4986.61i | 0.0502944 | − | 0.0871125i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2347.01 | − | 4065.14i | −0.0385461 | − | 0.0667638i | ||||
\(83\) | −86193.0 | −1.37334 | −0.686668 | − | 0.726972i | \(-0.740927\pi\) | ||||
−0.686668 | + | 0.726972i | \(0.740927\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 18215.4 | 0.273458 | ||||||||
\(86\) | 7328.33 | + | 12693.0i | 0.106846 | + | 0.185063i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −10894.8 | + | 18870.3i | −0.149972 | + | 0.259760i | ||||
\(89\) | 38996.3 | + | 67543.6i | 0.521853 | + | 0.903876i | 0.999677 | + | 0.0254206i | \(0.00809249\pi\) |
−0.477824 | + | 0.878456i | \(0.658574\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 70281.0 | + | 63073.0i | 0.889681 | + | 0.798436i | ||||
\(92\) | −22752.5 | −0.280259 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −18626.4 | + | 32261.9i | −0.217425 | + | 0.376591i | ||||
\(95\) | 11540.8 | − | 19989.3i | 0.131198 | − | 0.227242i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −161765. | −1.74565 | −0.872823 | − | 0.488037i | \(-0.837713\pi\) | ||||
−0.872823 | + | 0.488037i | \(0.837713\pi\) | |||||||
\(98\) | −54258.8 | + | 39693.7i | −0.570696 | + | 0.417500i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 20952.8 | + | 36291.2i | 0.209528 | + | 0.362912i | ||||
\(101\) | −32927.2 | + | 57031.6i | −0.321182 | + | 0.556304i | −0.980732 | − | 0.195357i | \(-0.937414\pi\) |
0.659550 | + | 0.751661i | \(0.270747\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −65099.0 | − | 112755.i | −0.604619 | − | 1.04723i | −0.992112 | − | 0.125358i | \(-0.959992\pi\) |
0.387493 | − | 0.921873i | \(-0.373341\pi\) | |||||||
\(104\) | 46618.6 | 0.422645 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 142571. | 1.23244 | ||||||||
\(107\) | 1295.48 | + | 2243.83i | 0.0109388 | + | 0.0189466i | 0.871443 | − | 0.490497i | \(-0.163185\pi\) |
−0.860504 | + | 0.509443i | \(0.829851\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −55326.9 | + | 95828.9i | −0.446036 | + | 0.772557i | −0.998124 | − | 0.0612291i | \(-0.980498\pi\) |
0.552088 | + | 0.833786i | \(0.313831\pi\) | |||||||
\(110\) | 15315.6 | + | 26527.3i | 0.120684 | + | 0.209032i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −6847.02 | + | 32474.3i | −0.0515771 | + | 0.244622i | ||||
\(113\) | 193910. | 1.42858 | 0.714291 | − | 0.699849i | \(-0.246749\pi\) | ||||
0.714291 | + | 0.699849i | \(0.246749\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −15992.4 | + | 27699.7i | −0.112764 | + | 0.195312i | ||||
\(116\) | 41744.3 | − | 72303.2i | 0.288039 | − | 0.498899i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −121505. | −0.803319 | ||||||||
\(119\) | −99798.1 | + | 32607.3i | −0.646033 | + | 0.211080i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 22568.4 | + | 39089.6i | 0.140132 | + | 0.242716i | ||||
\(122\) | 64372.5 | − | 111496.i | 0.391562 | − | 0.678206i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 56302.0 | + | 97517.9i | 0.328828 | + | 0.569547i | ||||
\(125\) | 129198. | 0.739573 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 27429.2 | 0.150905 | 0.0754526 | − | 0.997149i | \(-0.475960\pi\) | ||||
0.0754526 | + | 0.997149i | \(0.475960\pi\) | |||||||
\(128\) | 8192.00 | + | 14189.0i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 32767.6 | − | 56755.1i | 0.170054 | − | 0.294541i | ||||
\(131\) | 75188.0 | + | 130229.i | 0.382798 | + | 0.663026i | 0.991461 | − | 0.130403i | \(-0.0416271\pi\) |
−0.608663 | + | 0.793429i | \(0.708294\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −27447.0 | + | 130177.i | −0.134544 | + | 0.638122i | ||||
\(134\) | −85404.3 | −0.410883 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −25915.1 | + | 44886.3i | −0.120145 | + | 0.208097i | ||||
\(137\) | 48051.0 | − | 83226.8i | 0.218726 | − | 0.378845i | −0.735693 | − | 0.677316i | \(-0.763143\pi\) |
0.954419 | + | 0.298471i | \(0.0964765\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 100854. | 0.442749 | 0.221375 | − | 0.975189i | \(-0.428946\pi\) | ||||
0.221375 | + | 0.975189i | \(0.428946\pi\) | |||||||
\(140\) | 34722.7 | + | 31161.5i | 0.149725 | + | 0.134369i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −122307. | − | 211843.i | −0.509017 | − | 0.881643i | ||||
\(143\) | −123999. | + | 214772.i | −0.507081 | + | 0.878291i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −58682.9 | − | 101642.i | −0.231788 | − | 0.401469i | ||||
\(146\) | −165071. | −0.640898 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 204674. | 0.768082 | ||||||||
\(149\) | −180472. | − | 312587.i | −0.665954 | − | 1.15347i | −0.979026 | − | 0.203737i | \(-0.934691\pi\) |
0.313071 | − | 0.949730i | \(-0.398642\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 217028. | − | 375903.i | 0.774592 | − | 1.34163i | −0.160431 | − | 0.987047i | \(-0.551288\pi\) |
0.935023 | − | 0.354586i | \(-0.115378\pi\) | |||||||
\(152\) | 32838.4 | + | 56877.9i | 0.115285 | + | 0.199680i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −131397. | − | 117921.i | −0.446462 | − | 0.400674i | ||||
\(155\) | 158295. | 0.529223 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 255798. | − | 443055.i | 0.828225 | − | 1.43453i | −0.0712046 | − | 0.997462i | \(-0.522684\pi\) |
0.899430 | − | 0.437066i | \(-0.143982\pi\) | |||||||
\(158\) | −70000.9 | + | 121245.i | −0.223080 | + | 0.386386i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 23032.2 | 0.0711270 | ||||||||
\(161\) | 38033.9 | − | 180389.i | 0.115639 | − | 0.548459i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 125635. | + | 217606.i | 0.370374 | + | 0.641507i | 0.989623 | − | 0.143688i | \(-0.0458962\pi\) |
−0.619249 | + | 0.785195i | \(0.712563\pi\) | |||||||
\(164\) | 9388.04 | − | 16260.6i | 0.0272562 | − | 0.0472091i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −172386. | − | 298581.i | −0.485547 | − | 0.840993i | ||||
\(167\) | −419277. | −1.16335 | −0.581674 | − | 0.813422i | \(-0.697602\pi\) | ||||
−0.581674 | + | 0.813422i | \(0.697602\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 159297. | 0.429032 | ||||||||
\(170\) | 36430.7 | + | 63099.8i | 0.0966819 | + | 0.167458i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −29313.3 | + | 50772.2i | −0.0755517 | + | 0.130859i | ||||
\(173\) | −230688. | − | 399564.i | −0.586017 | − | 1.01501i | −0.994748 | − | 0.102356i | \(-0.967362\pi\) |
0.408731 | − | 0.912655i | \(-0.365971\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −322753. | + | 105454.i | −0.796665 | + | 0.260296i | ||||
\(176\) | −87158.2 | −0.212093 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −155985. | + | 270174.i | −0.369006 | + | 0.639137i | ||||
\(179\) | 370853. | − | 642336.i | 0.865105 | − | 1.49841i | −0.00183697 | − | 0.999998i | \(-0.500585\pi\) |
0.866942 | − | 0.498408i | \(-0.166082\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 301371. | 0.683762 | 0.341881 | − | 0.939743i | \(-0.388936\pi\) | ||||
0.341881 | + | 0.939743i | \(0.388936\pi\) | |||||||
\(182\) | −77929.3 | + | 369606.i | −0.174390 | + | 0.827106i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −45505.0 | − | 78816.9i | −0.0990865 | − | 0.171623i | ||||
\(185\) | 143862. | − | 249177.i | 0.309042 | − | 0.535277i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −137861. | − | 238782.i | −0.288295 | − | 0.499342i | ||||
\(188\) | −149011. | −0.307485 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 92326.7 | 0.185542 | ||||||||
\(191\) | 131591. | + | 227923.i | 0.261002 | + | 0.452069i | 0.966508 | − | 0.256635i | \(-0.0826138\pi\) |
−0.705507 | + | 0.708703i | \(0.749280\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 415563. | − | 719777.i | 0.803053 | − | 1.39093i | −0.114545 | − | 0.993418i | \(-0.536541\pi\) |
0.917598 | − | 0.397510i | \(-0.130126\pi\) | |||||||
\(194\) | −323531. | − | 560372.i | −0.617179 | − | 1.06899i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −246021. | − | 108570.i | −0.457437 | − | 0.201870i | ||||
\(197\) | 1.05421e6 | 1.93536 | 0.967681 | − | 0.252178i | \(-0.0811470\pi\) | ||||
0.967681 | + | 0.252178i | \(0.0811470\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −349284. | + | 604977.i | −0.625239 | + | 1.08295i | 0.363256 | + | 0.931689i | \(0.381665\pi\) |
−0.988495 | + | 0.151256i | \(0.951668\pi\) | |||||||
\(200\) | −83811.0 | + | 145165.i | −0.148158 | + | 0.256618i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −263418. | −0.454220 | ||||||||
\(203\) | 503460. | + | 451826.i | 0.857482 | + | 0.769539i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −13197.4 | − | 22858.6i | −0.0219334 | − | 0.0379897i | ||||
\(206\) | 260396. | − | 451019.i | 0.427530 | − | 0.740504i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 93237.2 | + | 161492.i | 0.149428 | + | 0.258816i | ||||
\(209\) | −349382. | −0.553268 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −99693.6 | −0.154156 | −0.0770781 | − | 0.997025i | \(-0.524559\pi\) | ||||
−0.0770781 | + | 0.997025i | \(0.524559\pi\) | |||||||
\(212\) | 285142. | + | 493881.i | 0.435734 | + | 0.754714i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5181.90 | + | 8975.32i | −0.00773490 | + | 0.0133972i | ||||
\(215\) | 41207.8 | + | 71374.1i | 0.0607972 | + | 0.105304i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −867267. | + | 283365.i | −1.25027 | + | 0.408504i | ||||
\(218\) | −442615. | −0.630790 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −61262.3 | + | 106109.i | −0.0853368 | + | 0.147808i | ||||
\(221\) | −294953. | + | 510873.i | −0.406230 | + | 0.703610i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 526194. | 0.708572 | 0.354286 | − | 0.935137i | \(-0.384724\pi\) | ||||
0.354286 | + | 0.935137i | \(0.384724\pi\) | |||||||
\(224\) | −126188. | + | 41229.9i | −0.168035 | + | 0.0549025i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 387821. | + | 671725.i | 0.505080 | + | 0.874824i | ||||
\(227\) | −490802. | + | 850095.i | −0.632182 | + | 1.09497i | 0.354923 | + | 0.934896i | \(0.384507\pi\) |
−0.987105 | + | 0.160076i | \(0.948826\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 42540.5 | + | 73682.3i | 0.0536061 | + | 0.0928484i | 0.891583 | − | 0.452857i | \(-0.149595\pi\) |
−0.837977 | + | 0.545705i | \(0.816262\pi\) | |||||||
\(230\) | −127939. | −0.159472 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 333954. | 0.407349 | ||||||||
\(233\) | 56561.4 | + | 97967.3i | 0.0682544 | + | 0.118220i | 0.898133 | − | 0.439724i | \(-0.144924\pi\) |
−0.829879 | + | 0.557944i | \(0.811590\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −104738. | + | 181411.i | −0.123718 | + | 0.214286i | ||||
\(236\) | −243009. | − | 420905.i | −0.284016 | − | 0.491931i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −312551. | − | 280496.i | −0.357667 | − | 0.320985i | ||||
\(239\) | 895100. | 1.01362 | 0.506812 | − | 0.862057i | \(-0.330824\pi\) | ||||
0.506812 | + | 0.862057i | \(0.330824\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −263857. | + | 457014.i | −0.292635 | + | 0.506859i | −0.974432 | − | 0.224683i | \(-0.927865\pi\) |
0.681797 | + | 0.731542i | \(0.261199\pi\) | |||||||
\(242\) | −90273.6 | + | 156358.i | −0.0990883 | + | 0.171626i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 514980. | 0.553753 | ||||||||
\(245\) | −305102. | + | 223201.i | −0.324735 | + | 0.237564i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 373751. | + | 647355.i | 0.389798 | + | 0.675150i | ||||
\(248\) | −225208. | + | 390071.i | −0.232517 | + | 0.402731i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 258396. | + | 447556.i | 0.261479 | + | 0.452894i | ||||
\(251\) | 1.19293e6 | 1.19517 | 0.597584 | − | 0.801806i | \(-0.296127\pi\) | ||||
0.597584 | + | 0.801806i | \(0.296127\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 484147. | 0.475528 | ||||||||
\(254\) | 54858.5 | + | 95017.7i | 0.0533531 | + | 0.0924102i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −32768.0 | + | 56755.8i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −597462. | − | 1.03483e6i | −0.564257 | − | 0.977322i | −0.997118 | − | 0.0758617i | \(-0.975829\pi\) |
0.432861 | − | 0.901461i | \(-0.357504\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −342140. | + | 1.62272e6i | −0.316923 | + | 1.50312i | ||||
\(260\) | 262140. | 0.240492 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −300752. | + | 520917.i | −0.270679 | + | 0.468830i | ||||
\(263\) | −1.06115e6 | + | 1.83797e6i | −0.945993 | + | 1.63851i | −0.192244 | + | 0.981347i | \(0.561576\pi\) |
−0.753750 | + | 0.657161i | \(0.771757\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 801690. | 0.701280 | ||||||||
\(266\) | −505839. | + | 165274.i | −0.438337 | + | 0.143219i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −170809. | − | 295849.i | −0.145269 | − | 0.251613i | ||||
\(269\) | 77488.3 | − | 134214.i | 0.0652913 | − | 0.113088i | −0.831532 | − | 0.555477i | \(-0.812536\pi\) |
0.896823 | + | 0.442389i | \(0.145869\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −979439. | − | 1.69644e6i | −0.810129 | − | 1.40318i | −0.912773 | − | 0.408466i | \(-0.866064\pi\) |
0.102645 | − | 0.994718i | \(-0.467270\pi\) | |||||||
\(272\) | −207321. | −0.169911 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 384408. | 0.309326 | ||||||||
\(275\) | −445851. | − | 772236.i | −0.355515 | − | 0.615770i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 874763. | − | 1.51513e6i | 0.685001 | − | 1.18646i | −0.288436 | − | 0.957499i | \(-0.593135\pi\) |
0.973437 | − | 0.228957i | \(-0.0735315\pi\) | |||||||
\(278\) | 201709. | + | 349370.i | 0.156536 | + | 0.271128i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −38501.4 | + | 182606.i | −0.0293482 | + | 0.139194i | ||||
\(281\) | −1.40665e6 | −1.06272 | −0.531361 | − | 0.847145i | \(-0.678319\pi\) | ||||
−0.531361 | + | 0.847145i | \(0.678319\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −978536. | + | 1.69487e6i | −0.726291 | + | 1.25797i | 0.232150 | + | 0.972680i | \(0.425424\pi\) |
−0.958441 | + | 0.285292i | \(0.907909\pi\) | |||||||
\(284\) | 489230. | − | 847371.i | 0.359929 | − | 0.623416i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −991991. | −0.717121 | ||||||||
\(287\) | 113225. | + | 101613.i | 0.0811407 | + | 0.0728189i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 382002. | + | 661648.i | 0.269043 | + | 0.465996i | ||||
\(290\) | 234732. | − | 406567.i | 0.163899 | − | 0.283882i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −330142. | − | 571823.i | −0.226592 | − | 0.392469i | ||||
\(293\) | 1.26998e6 | 0.864229 | 0.432114 | − | 0.901819i | \(-0.357768\pi\) | ||||
0.432114 | + | 0.901819i | \(0.357768\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −683232. | −0.457102 | ||||||||
\(296\) | 409348. | + | 709011.i | 0.271558 | + | 0.470353i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 721888. | − | 1.25035e6i | 0.470901 | − | 0.815624i | ||||
\(299\) | −517915. | − | 897055.i | −0.335027 | − | 0.580285i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −353536. | − | 317277.i | −0.224914 | − | 0.201847i | ||||
\(302\) | 1.73622e6 | 1.09544 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −131354. | + | 227511.i | −0.0815190 | + | 0.141195i | ||||
\(305\) | 361972. | − | 626954.i | 0.222805 | − | 0.385910i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −41854.4 | −0.0253451 | −0.0126726 | − | 0.999920i | \(-0.504034\pi\) | ||||
−0.0126726 | + | 0.999920i | \(0.504034\pi\) | |||||||
\(308\) | 145697. | − | 691017.i | 0.0875131 | − | 0.415061i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 316591. | + | 548351.i | 0.187109 | + | 0.324082i | ||||
\(311\) | −1.14595e6 | + | 1.98484e6i | −0.671837 | + | 1.16366i | 0.305546 | + | 0.952177i | \(0.401161\pi\) |
−0.977383 | + | 0.211478i | \(0.932172\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.13575e6 | − | 1.96717e6i | −0.655271 | − | 1.13496i | −0.981826 | − | 0.189785i | \(-0.939221\pi\) |
0.326555 | − | 0.945178i | \(-0.394112\pi\) | |||||||
\(314\) | 2.04639e6 | 1.17129 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −560007. | −0.315483 | ||||||||
\(317\) | −992372. | − | 1.71884e6i | −0.554659 | − | 0.960698i | −0.997930 | − | 0.0643100i | \(-0.979515\pi\) |
0.443271 | − | 0.896388i | \(-0.353818\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −888270. | + | 1.53853e6i | −0.488729 | + | 0.846504i | ||||
\(320\) | 46064.3 | + | 79785.8i | 0.0251472 | + | 0.0435562i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 700952. | − | 229024.i | 0.376746 | − | 0.123095i | ||||
\(323\) | −831066. | −0.443230 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −953895. | + | 1.65219e6i | −0.500947 | + | 0.867666i | ||||
\(326\) | −502539. | + | 870423.i | −0.261894 | + | 0.453614i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 75104.3 | 0.0385461 | ||||||||
\(329\) | 249092. | − | 1.18141e6i | 0.126873 | − | 0.601740i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −319230. | − | 552923.i | −0.160153 | − | 0.277393i | 0.774771 | − | 0.632242i | \(-0.217865\pi\) |
−0.934923 | + | 0.354850i | \(0.884532\pi\) | |||||||
\(332\) | 689544. | − | 1.19432e6i | 0.343334 | − | 0.594672i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −838553. | − | 1.45242e6i | −0.411305 | − | 0.712402i | ||||
\(335\) | −480236. | −0.233799 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.72026e6 | 1.30478 | 0.652388 | − | 0.757886i | \(-0.273767\pi\) | ||||
0.652388 | + | 0.757886i | \(0.273767\pi\) | |||||||
\(338\) | 318593. | + | 551820.i | 0.151686 | + | 0.262727i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −145723. | + | 252399.i | −0.0683645 | + | 0.118411i | ||||
\(341\) | −1.19804e6 | − | 2.07507e6i | −0.557938 | − | 0.966377i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.27204e6 | − | 1.76903e6i | 0.583800 | − | 0.811897i | ||||
\(344\) | −234507. | −0.106846 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 922753. | − | 1.59825e6i | 0.414376 | − | 0.717721i | ||||
\(347\) | 1.31038e6 | − | 2.26965e6i | 0.584217 | − | 1.01189i | −0.410755 | − | 0.911746i | \(-0.634735\pi\) |
0.994973 | − | 0.100148i | \(-0.0319317\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 575592. | 0.252960 | 0.126480 | − | 0.991969i | \(-0.459632\pi\) | ||||
0.126480 | + | 0.991969i | \(0.459632\pi\) | |||||||
\(350\) | −1.01081e6 | − | 907142.i | −0.441062 | − | 0.395827i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −174316. | − | 301925.i | −0.0749862 | − | 0.129880i | ||||
\(353\) | −1.29486e6 | + | 2.24276e6i | −0.553077 | + | 0.957957i | 0.444974 | + | 0.895544i | \(0.353213\pi\) |
−0.998050 | + | 0.0624135i | \(0.980120\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −687746. | − | 1.19121e6i | −0.289639 | − | 0.501669i | ||||
\(356\) | −1.24788e6 | −0.521853 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.96682e6 | 1.22344 | ||||||||
\(359\) | 1.43389e6 | + | 2.48358e6i | 0.587193 | + | 1.01705i | 0.994598 | + | 0.103801i | \(0.0331005\pi\) |
−0.407405 | + | 0.913248i | \(0.633566\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 711505. | − | 1.23236e6i | 0.287349 | − | 0.497703i | ||||
\(362\) | 602742. | + | 1.04398e6i | 0.241746 | + | 0.418717i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.43621e6 | + | 469258.i | −0.568153 | + | 0.185634i | ||||
\(365\) | −928210. | −0.364682 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 977255. | − | 1.69265e6i | 0.378741 | − | 0.655999i | −0.612138 | − | 0.790751i | \(-0.709690\pi\) |
0.990879 | + | 0.134752i | \(0.0430237\pi\) | |||||||
\(368\) | 182020. | − | 315268.i | 0.0700647 | − | 0.121356i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.15090e6 | 0.437052 | ||||||||
\(371\) | −4.39229e6 | + | 1.43510e6i | −1.65675 | + | 0.541314i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.10555e6 | − | 1.91486e6i | −0.411439 | − | 0.712633i | 0.583608 | − | 0.812035i | \(-0.301640\pi\) |
−0.995047 | + | 0.0994020i | \(0.968307\pi\) | |||||||
\(374\) | 551444. | − | 955129.i | 0.203855 | − | 0.353088i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −298022. | − | 516190.i | −0.108712 | − | 0.188295i | ||||
\(377\) | 3.80090e6 | 1.37731 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.81232e6 | 1.36330 | 0.681649 | − | 0.731679i | \(-0.261263\pi\) | ||||
0.681649 | + | 0.731679i | \(0.261263\pi\) | |||||||
\(380\) | 184653. | + | 319829.i | 0.0655992 | + | 0.113621i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −526365. | + | 911691.i | −0.184556 | + | 0.319661i | ||||
\(383\) | 1.90303e6 | + | 3.29614e6i | 0.662901 | + | 1.14818i | 0.979850 | + | 0.199735i | \(0.0640082\pi\) |
−0.316949 | + | 0.948442i | \(0.602658\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −738859. | − | 663082.i | −0.254044 | − | 0.227990i | ||||
\(386\) | 3.32451e6 | 1.13569 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.29412e6 | − | 2.24149e6i | 0.436411 | − | 0.755887i | ||||
\(389\) | 1.53762e6 | − | 2.66324e6i | 0.515200 | − | 0.892352i | −0.484645 | − | 0.874711i | \(-0.661051\pi\) |
0.999844 | − | 0.0176410i | \(-0.00561558\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.15163e6 | 0.380952 | ||||||||
\(392\) | −115942. | − | 1.06938e6i | −0.0381088 | − | 0.351494i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.10842e6 | + | 3.65190e6i | 0.684254 | + | 1.18516i | ||||
\(395\) | −393621. | + | 681772.i | −0.126936 | + | 0.219860i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.09566e6 | − | 1.89774e6i | −0.348900 | − | 0.604312i | 0.637154 | − | 0.770736i | \(-0.280111\pi\) |
−0.986054 | + | 0.166424i | \(0.946778\pi\) | |||||||
\(398\) | −2.79427e6 | −0.884221 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −670488. | −0.209528 | ||||||||
\(401\) | 888340. | + | 1.53865e6i | 0.275879 | + | 0.477836i | 0.970356 | − | 0.241678i | \(-0.0776978\pi\) |
−0.694478 | + | 0.719514i | \(0.744365\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.56320e6 | + | 4.43960e6i | −0.786177 | + | 1.36170i | ||||
\(404\) | −526835. | − | 912505.i | −0.160591 | − | 0.278152i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −558250. | + | 2.64769e6i | −0.168079 | + | 0.797172i | ||||
\(407\) | −4.35522e6 | −1.30324 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.18059e6 | + | 2.04484e6i | −0.348973 | + | 0.604438i | −0.986067 | − | 0.166347i | \(-0.946803\pi\) |
0.637095 | + | 0.770786i | \(0.280136\pi\) | |||||||
\(410\) | 52789.8 | − | 91434.6i | 0.0155092 | − | 0.0268628i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.08317e6 | 0.604619 | ||||||||
\(413\) | 3.74328e6 | − | 1.22305e6i | 1.07989 | − | 0.352834i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −969341. | − | 1.67895e6i | −0.276284 | − | 0.478539i | ||||
\(416\) | −372949. | + | 645966.i | −0.105661 | + | 0.183011i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −698765. | − | 1.21030e6i | −0.195610 | − | 0.338806i | ||||
\(419\) | 3.23493e6 | 0.900181 | 0.450090 | − | 0.892983i | \(-0.351392\pi\) | ||||
0.450090 | + | 0.892983i | \(0.351392\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.85759e6 | −0.785769 | −0.392884 | − | 0.919588i | \(-0.628523\pi\) | ||||
−0.392884 | + | 0.919588i | \(0.628523\pi\) | |||||||
\(422\) | −199387. | − | 345349.i | −0.0545025 | − | 0.0944010i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.14057e6 | + | 1.97552e6i | −0.308111 | + | 0.533664i | ||||
\(425\) | −1.06053e6 | − | 1.83690e6i | −0.284808 | − | 0.493301i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −860859. | + | 4.08292e6i | −0.228487 | + | 1.08368i | ||||
\(428\) | −41455.2 | −0.0109388 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −164831. | + | 285496.i | −0.0429901 | + | 0.0744611i | ||||
\(431\) | −44193.1 | + | 76544.7i | −0.0114594 | + | 0.0198482i | −0.871698 | − | 0.490043i | \(-0.836981\pi\) |
0.860239 | + | 0.509891i | \(0.170314\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −3.09418e6 | −0.793097 | −0.396549 | − | 0.918014i | \(-0.629792\pi\) | ||||
−0.396549 | + | 0.918014i | \(0.629792\pi\) | |||||||
\(434\) | −2.71614e6 | − | 2.43757e6i | −0.692194 | − | 0.621203i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −885230. | − | 1.53326e6i | −0.223018 | − | 0.386278i | ||||
\(437\) | 729645. | − | 1.26378e6i | 0.182771 | − | 0.316569i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −242589. | − | 420177.i | −0.0600773 | − | 0.104057i | 0.834422 | − | 0.551125i | \(-0.185801\pi\) |
−0.894500 | + | 0.447068i | \(0.852468\pi\) | |||||||
\(440\) | −490098. | −0.120684 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.35962e6 | −0.574495 | ||||||||
\(443\) | 637598. | + | 1.10435e6i | 0.154361 | + | 0.267361i | 0.932826 | − | 0.360327i | \(-0.117335\pi\) |
−0.778465 | + | 0.627688i | \(0.784001\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −877118. | + | 1.51921e6i | −0.209970 | + | 0.363679i | ||||
\(446\) | 1.05239e6 | + | 1.82279e6i | 0.250518 | + | 0.433910i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −395201. | − | 354670.i | −0.0930301 | − | 0.0834890i | ||||
\(449\) | 3.79144e6 | 0.887541 | 0.443770 | − | 0.896141i | \(-0.353641\pi\) | ||||
0.443770 | + | 0.896141i | \(0.353641\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −199767. | + | 346006.i | −0.0462468 | + | 0.0801019i | ||||
\(452\) | −1.55128e6 | + | 2.68690e6i | −0.357145 | + | 0.618594i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.92642e6 | −0.894040 | ||||||||
\(455\) | −438203. | + | 2.07833e6i | −0.0992310 | + | 0.470637i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −851404. | − | 1.47467e6i | −0.190698 | − | 0.330298i | 0.754784 | − | 0.655973i | \(-0.227742\pi\) |
−0.945482 | + | 0.325675i | \(0.894408\pi\) | |||||||
\(458\) | −170162. | + | 294729.i | −0.0379052 | + | 0.0656537i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −255878. | − | 443194.i | −0.0563818 | − | 0.0976562i | ||||
\(461\) | −4.55537e6 | −0.998323 | −0.499161 | − | 0.866509i | \(-0.666358\pi\) | ||||
−0.499161 | + | 0.866509i | \(0.666358\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.82647e6 | 1.26314 | 0.631572 | − | 0.775317i | \(-0.282410\pi\) | ||||
0.631572 | + | 0.775317i | \(0.282410\pi\) | |||||||
\(464\) | 667908. | + | 1.15685e6i | 0.144020 | + | 0.249449i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −226246. | + | 391869.i | −0.0482631 | + | 0.0835942i | ||||
\(467\) | −1.77131e6 | − | 3.06799e6i | −0.375839 | − | 0.650972i | 0.614614 | − | 0.788828i | \(-0.289312\pi\) |
−0.990452 | + | 0.137857i | \(0.955979\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.63111e6 | − | 859670.i | 0.552341 | − | 0.180468i | ||||
\(470\) | −837902. | −0.174964 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 972038. | − | 1.68362e6i | 0.200830 | − | 0.347847i | ||||
\(473\) | 623754. | − | 1.08037e6i | 0.128192 | − | 0.222035i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.68772e6 | −0.546575 | ||||||||
\(476\) | 346565. | − | 1.64370e6i | 0.0701079 | − | 0.332511i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 1.79020e6 | + | 3.10072e6i | 0.358370 | + | 0.620715i | ||||
\(479\) | −2.11771e6 | + | 3.66798e6i | −0.421723 | + | 0.730446i | −0.996108 | − | 0.0881390i | \(-0.971908\pi\) |
0.574385 | + | 0.818585i | \(0.305241\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.65899e6 | + | 8.06960e6i | 0.918182 | + | 1.59034i | ||||
\(482\) | −2.11086e6 | −0.413849 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −722189. | −0.140132 | ||||||||
\(485\) | −1.81924e6 | − | 3.15102e6i | −0.351185 | − | 0.608270i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 2.82740e6 | − | 4.89719e6i | 0.540212 | − | 0.935675i | −0.458679 | − | 0.888602i | \(-0.651677\pi\) |
0.998891 | − | 0.0470729i | \(-0.0149893\pi\) | |||||||
\(488\) | 1.02996e6 | + | 1.78394e6i | 0.195781 | + | 0.339103i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.38339e6 | − | 610501.i | −0.260289 | − | 0.114867i | ||||
\(491\) | −8.33183e6 | −1.55968 | −0.779842 | − | 0.625976i | \(-0.784701\pi\) | ||||
−0.779842 | + | 0.625976i | \(0.784701\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.11290e6 | + | 3.65966e6i | −0.391528 | + | 0.678146i | ||||
\(494\) | −1.49500e6 | + | 2.58942e6i | −0.275629 | + | 0.477403i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.80166e6 | −0.328828 | ||||||||
\(497\) | 5.90040e6 | + | 5.29526e6i | 1.07150 | + | 0.961604i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3.61884e6 | + | 6.26802e6i | 0.650607 | + | 1.12688i | 0.982976 | + | 0.183734i | \(0.0588187\pi\) |
−0.332369 | + | 0.943149i | \(0.607848\pi\) | |||||||
\(500\) | −1.03359e6 | + | 1.79022e6i | −0.184893 | + | 0.320245i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.38585e6 | + | 4.13242e6i | 0.422556 | + | 0.731888i | ||||
\(503\) | 6.16761e6 | 1.08692 | 0.543459 | − | 0.839436i | \(-0.317114\pi\) | ||||
0.543459 | + | 0.839436i | \(0.317114\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.48122e6 | −0.258459 | ||||||||
\(506\) | 968294. | + | 1.67713e6i | 0.168124 | + | 0.291200i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −219434. | + | 380071.i | −0.0377263 | + | 0.0653439i | ||||
\(509\) | 917439. | + | 1.58905e6i | 0.156958 | + | 0.271859i | 0.933770 | − | 0.357873i | \(-0.116498\pi\) |
−0.776812 | + | 0.629732i | \(0.783165\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.08547e6 | − | 1.66159e6i | 0.861546 | − | 0.281495i | ||||
\(512\) | −262144. | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.38985e6 | − | 4.13934e6i | 0.398990 | − | 0.691071i | ||||
\(515\) | 1.46423e6 | − | 2.53612e6i | 0.243272 | − | 0.421359i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.17079e6 | 0.521724 | ||||||||
\(518\) | −6.30553e6 | + | 2.06022e6i | −1.03252 | + | 0.337357i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 524281. | + | 908081.i | 0.0850268 | + | 0.147271i | ||||
\(521\) | 2.65520e6 | − | 4.59894e6i | 0.428551 | − | 0.742273i | −0.568193 | − | 0.822895i | \(-0.692357\pi\) |
0.996745 | + | 0.0806224i | \(0.0256908\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.49418e6 | + | 2.58799e6i | 0.238862 | + | 0.413722i | 0.960388 | − | 0.278666i | \(-0.0898922\pi\) |
−0.721526 | + | 0.692388i | \(0.756559\pi\) | |||||||
\(524\) | −2.40601e6 | −0.382798 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.48921e6 | −1.33784 | ||||||||
\(527\) | −2.84975e6 | − | 4.93591e6i | −0.446972 | − | 0.774178i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.20709e6 | − | 3.82279e6i | 0.342910 | − | 0.593937i | ||||
\(530\) | 1.60338e6 | + | 2.77713e6i | 0.247940 | + | 0.429445i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.58420e6 | − | 1.42173e6i | −0.242679 | − | 0.217790i | ||||
\(533\) | 854800. | 0.130331 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −29138.3 | + | 50469.0i | −0.00440128 | + | 0.00762325i | ||||
\(536\) | 683235. | − | 1.18340e6i | 0.102721 | − | 0.177917i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 619907. | 0.0923359 | ||||||||
\(539\) | 5.23504e6 | + | 2.31026e6i | 0.776154 | + | 0.342522i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.08416e6 | − | 1.87782e6i | −0.159258 | − | 0.275843i | 0.775343 | − | 0.631540i | \(-0.217577\pi\) |
−0.934601 | + | 0.355697i | \(0.884243\pi\) | |||||||
\(542\) | 3.91775e6 | − | 6.78575e6i | 0.572848 | − | 0.992201i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −414642. | − | 718180.i | −0.0600725 | − | 0.104049i | ||||
\(545\) | −2.48886e6 | −0.358930 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.13272e6 | −1.30506 | −0.652532 | − | 0.757761i | \(-0.726293\pi\) | ||||
−0.652532 | + | 0.757761i | \(0.726293\pi\) | |||||||
\(548\) | 768816. | + | 1.33163e6i | 0.109363 | + | 0.189423i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.78340e6 | − | 3.08894e6i | 0.251387 | − | 0.435415i | ||||
\(551\) | 2.67738e6 | + | 4.63735e6i | 0.375691 | + | 0.650715i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 936128. | − | 4.43991e6i | 0.130173 | − | 0.617392i | ||||
\(554\) | 6.99810e6 | 0.968737 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −806835. | + | 1.39748e6i | −0.110687 | + | 0.191716i | ||||
\(557\) | −4.61014e6 | + | 7.98500e6i | −0.629617 | + | 1.09053i | 0.358012 | + | 0.933717i | \(0.383455\pi\) |
−0.987629 | + | 0.156811i | \(0.949879\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.66904e6 | −0.361264 | ||||||||
\(560\) | −709568. | + | 231839.i | −0.0956146 | + | 0.0312404i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −2.81330e6 | − | 4.87277e6i | −0.375729 | − | 0.650782i | ||||
\(563\) | 4.24638e6 | − | 7.35495e6i | 0.564610 | − | 0.977933i | −0.432476 | − | 0.901645i | \(-0.642360\pi\) |
0.997086 | − | 0.0762872i | \(-0.0243066\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.18075e6 | + | 3.77717e6i | 0.287399 | + | 0.497789i | ||||
\(566\) | −7.82828e6 | −1.02713 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.91384e6 | 0.509017 | ||||||||
\(569\) | −2.35456e6 | − | 4.07822e6i | −0.304880 | − | 0.528068i | 0.672355 | − | 0.740229i | \(-0.265283\pi\) |
−0.977235 | + | 0.212162i | \(0.931950\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 864035. | − | 1.49655e6i | 0.110902 | − | 0.192089i | −0.805232 | − | 0.592960i | \(-0.797959\pi\) |
0.916134 | + | 0.400871i | \(0.131293\pi\) | |||||||
\(572\) | −1.98398e6 | − | 3.43636e6i | −0.253541 | − | 0.439145i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −125547. | + | 595450.i | −0.0159048 | + | 0.0754337i | ||||
\(575\) | 3.72443e6 | 0.469776 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.19249e6 | + | 2.06546e6i | −0.149113 | + | 0.258272i | −0.930900 | − | 0.365274i | \(-0.880975\pi\) |
0.781787 | + | 0.623546i | \(0.214309\pi\) | |||||||
\(578\) | −1.52801e6 | + | 2.64659e6i | −0.190242 | + | 0.329509i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.87785e6 | 0.231788 | ||||||||
\(581\) | 8.31630e6 | + | 7.46339e6i | 1.02209 | + | 0.917267i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.06750e6 | − | 1.05092e7i | −0.739330 | − | 1.28056i | ||||
\(584\) | 1.32057e6 | − | 2.28729e6i | 0.160225 | − | 0.277517i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.53997e6 | + | 4.39935e6i | 0.305551 | + | 0.529230i | ||||
\(587\) | 3.44904e6 | 0.413145 | 0.206573 | − | 0.978431i | \(-0.433769\pi\) | ||||
0.206573 | + | 0.978431i | \(0.433769\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7.22214e6 | −0.857784 | ||||||||
\(590\) | −1.36646e6 | − | 2.36678e6i | −0.161610 | − | 0.279917i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.63739e6 | + | 2.83604e6i | −0.192021 | + | 0.332589i | ||||
\(593\) | 567341. | + | 982664.i | 0.0662533 | + | 0.114754i | 0.897249 | − | 0.441524i | \(-0.145562\pi\) |
−0.830996 | + | 0.556278i | \(0.812229\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.75750e6 | − | 1.57725e6i | −0.203518 | − | 0.182646i | ||||
\(596\) | 5.77511e6 | 0.665954 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 2.07166e6 | − | 3.58822e6i | 0.236900 | − | 0.410323i | ||||
\(599\) | 3.80933e6 | − | 6.59795e6i | 0.433792 | − | 0.751349i | −0.563404 | − | 0.826181i | \(-0.690509\pi\) |
0.997196 | + | 0.0748320i | \(0.0238420\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9.78414e6 | 1.10493 | 0.552467 | − | 0.833535i | \(-0.313686\pi\) | ||||
0.552467 | + | 0.833535i | \(0.313686\pi\) | |||||||
\(602\) | 392010. | − | 1.85924e6i | 0.0440865 | − | 0.209095i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 3.47245e6 | + | 6.01445e6i | 0.387296 | + | 0.670817i | ||||
\(605\) | −507616. | + | 879217.i | −0.0563829 | + | 0.0976580i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −926673. | − | 1.60504e6i | −0.102083 | − | 0.176813i | 0.810460 | − | 0.585795i | \(-0.199217\pi\) |
−0.912543 | + | 0.408981i | \(0.865884\pi\) | |||||||
\(608\) | −1.05083e6 | −0.115285 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.89578e6 | 0.315094 | ||||||||
\(611\) | −3.39194e6 | − | 5.87501e6i | −0.367574 | − | 0.636657i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.56048e6 | − | 6.16694e6i | 0.382699 | − | 0.662855i | −0.608748 | − | 0.793364i | \(-0.708328\pi\) |
0.991447 | + | 0.130509i | \(0.0416612\pi\) | |||||||
\(614\) | −83708.7 | − | 144988.i | −0.00896086 | − | 0.0155207i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.68515e6 | − | 877325.i | 0.285112 | − | 0.0931555i | ||||
\(617\) | 2.75212e6 | 0.291041 | 0.145521 | − | 0.989355i | \(-0.453514\pi\) | ||||
0.145521 | + | 0.989355i | \(0.453514\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.51660e6 | − | 1.12871e7i | 0.683588 | − | 1.18401i | −0.290291 | − | 0.956939i | \(-0.593752\pi\) |
0.973878 | − | 0.227070i | \(-0.0729147\pi\) | |||||||
\(620\) | −1.26636e6 | + | 2.19341e6i | −0.132306 | + | 0.229160i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −9.16758e6 | −0.950120 | ||||||||
\(623\) | 2.08600e6 | − | 9.89358e6i | 0.215325 | − | 1.02125i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.63935e6 | − | 4.57149e6i | −0.270269 | − | 0.468120i | ||||
\(626\) | 4.54299e6 | − | 7.86869e6i | 0.463347 | − | 0.802540i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.09277e6 | + | 7.08889e6i | 0.414112 | + | 0.717264i | ||||
\(629\) | −1.03597e7 | −1.04404 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.40820e6 | −0.440745 | −0.220373 | − | 0.975416i | \(-0.570727\pi\) | ||||
−0.220373 | + | 0.975416i | \(0.570727\pi\) | |||||||
\(632\) | −1.12001e6 | − | 1.93992e6i | −0.111540 | − | 0.193193i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 3.96949e6 | − | 6.87535e6i | 0.392203 | − | 0.679316i | ||||
\(635\) | 308474. | + | 534293.i | 0.0303588 | + | 0.0525829i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.31959e6 | − | 1.21712e7i | −0.128852 | − | 1.18846i | ||||
\(638\) | −7.10616e6 | −0.691168 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −184257. | + | 319143.i | −0.0177818 | + | 0.0307989i | ||||
\(641\) | −3.99195e6 | + | 6.91426e6i | −0.383742 | + | 0.664661i | −0.991594 | − | 0.129389i | \(-0.958698\pi\) |
0.607851 | + | 0.794051i | \(0.292032\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.52102e6 | 0.145080 | 0.0725398 | − | 0.997366i | \(-0.476890\pi\) | ||||
0.0725398 | + | 0.997366i | \(0.476890\pi\) | |||||||
\(644\) | 2.19527e6 | + | 1.97012e6i | 0.208580 | + | 0.187188i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.66213e6 | − | 2.87890e6i | −0.156706 | − | 0.271422i | ||||
\(647\) | −6.26247e6 | + | 1.08469e7i | −0.588146 | + | 1.01870i | 0.406329 | + | 0.913727i | \(0.366809\pi\) |
−0.994475 | + | 0.104972i | \(0.966525\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.17096e6 | + | 8.95637e6i | 0.481903 | + | 0.834681i | ||||
\(650\) | −7.63116e6 | −0.708447 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.02031e6 | −0.370374 | ||||||||
\(653\) | −8.53702e6 | − | 1.47865e7i | −0.783471 | − | 1.35701i | −0.929908 | − | 0.367792i | \(-0.880114\pi\) |
0.146436 | − | 0.989220i | \(-0.453220\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.69115e6 | + | 2.92916e6i | −0.154021 | + | 0.266772i | ||||
\(656\) | 150209. | + | 260169.i | 0.0136281 | + | 0.0236046i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 4.59069e6 | − | 1.49993e6i | 0.413346 | − | 0.135054i | ||||
\(659\) | 2.12585e6 | 0.190686 | 0.0953432 | − | 0.995444i | \(-0.469605\pi\) | ||||
0.0953432 | + | 0.995444i | \(0.469605\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.30005e6 | − | 2.25176e6i | 0.115733 | − | 0.200456i | −0.802339 | − | 0.596868i | \(-0.796412\pi\) |
0.918073 | + | 0.396412i | \(0.129745\pi\) | |||||||
\(662\) | 1.27692e6 | − | 2.21169e6i | 0.113245 | − | 0.196146i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 5.51635e6 | 0.485547 | ||||||||
\(665\) | −2.84438e6 | + | 929350.i | −0.249421 | + | 0.0814940i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.71010e6 | − | 6.42608e6i | −0.322902 | − | 0.559283i | ||||
\(668\) | 3.35421e6 | − | 5.80967e6i | 0.290837 | − | 0.503744i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −960472. | − | 1.66359e6i | −0.0826604 | − | 0.143172i | ||||
\(671\) | −1.09582e7 | −0.939577 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.44746e7 | −1.23188 | −0.615942 | − | 0.787792i | \(-0.711224\pi\) | ||||
−0.615942 | + | 0.787792i | \(0.711224\pi\) | |||||||
\(674\) | 5.44052e6 | + | 9.42326e6i | 0.461308 | + | 0.799008i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.27437e6 | + | 2.20728e6i | −0.107258 | + | 0.185776i | ||||
\(677\) | −1.64423e6 | − | 2.84788e6i | −0.137876 | − | 0.238809i | 0.788816 | − | 0.614629i | \(-0.210694\pi\) |
−0.926693 | + | 0.375820i | \(0.877361\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.56079e7 | + | 1.40071e7i | 1.29918 | + | 1.16594i | ||||
\(680\) | −1.16578e6 | −0.0966819 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.79217e6 | − | 8.30027e6i | 0.394522 | − | 0.683332i | ||||
\(683\) | 4.40943e6 | − | 7.63736e6i | 0.361685 | − | 0.626458i | −0.626553 | − | 0.779379i | \(-0.715535\pi\) |
0.988238 | + | 0.152921i | \(0.0488681\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.16156e6 | 0.176011 | ||||||||
\(686\) | 8.67219e6 | + | 868394.i | 0.703588 | + | 0.0704541i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −469013. | − | 812355.i | −0.0377758 | − | 0.0654297i | ||||
\(689\) | −1.29814e7 | + | 2.24844e7i | −1.04177 | + | 1.80440i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.29808e6 | + | 7.44450e6i | 0.342436 | + | 0.593117i | 0.984885 | − | 0.173212i | \(-0.0554146\pi\) |
−0.642448 | + | 0.766329i | \(0.722081\pi\) | |||||||
\(692\) | 7.38202e6 | 0.586017 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.04831e7 | 0.826208 | ||||||||
\(695\) | 1.13423e6 | + | 1.96454e6i | 0.0890713 | + | 0.154276i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −475180. | + | 823035.i | −0.0370490 | + | 0.0641707i | ||||
\(698\) | 1.15118e6 | + | 1.99391e6i | 0.0894348 | + | 0.154906i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.12081e6 | − | 5.31583e6i | 0.0864545 | − | 0.410040i | ||||
\(701\) | −2.06437e7 | −1.58669 | −0.793347 | − | 0.608770i | \(-0.791663\pi\) | ||||
−0.793347 | + | 0.608770i | \(0.791663\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −6.56364e6 | + | 1.13686e7i | −0.500906 | + | 0.867595i | ||||
\(704\) | 697266. | − | 1.20770e6i | 0.0530233 | − | 0.0918390i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.03589e7 | −0.782169 | ||||||||
\(707\) | 8.11530e6 | − | 2.65153e6i | 0.610599 | − | 0.199503i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 213441. | + | 369691.i | 0.0159464 | + | 0.0276200i | 0.873888 | − | 0.486126i | \(-0.161591\pi\) |
−0.857942 | + | 0.513746i | \(0.828257\pi\) | |||||||
\(710\) | 2.75098e6 | − | 4.76484e6i | 0.204806 | − | 0.354734i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −2.49576e6 | − | 4.32279e6i | −0.184503 | − | 0.319569i | ||||
\(713\) | 1.00079e7 | 0.737257 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.57805e6 | −0.408054 | ||||||||
\(716\) | 5.93365e6 | + | 1.02774e7i | 0.432553 | + | 0.749203i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −5.73558e6 | + | 9.93431e6i | −0.415208 | + | 0.719162i | ||||
\(719\) | 1.90362e6 | + | 3.29716e6i | 0.137328 | + | 0.237858i | 0.926484 | − | 0.376334i | \(-0.122815\pi\) |
−0.789157 | + | 0.614192i | \(0.789482\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.48230e6 | + | 1.65160e7i | −0.249476 | + | 1.18322i | ||||
\(722\) | 5.69204e6 | 0.406373 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.41097e6 | + | 4.17592e6i | −0.170940 | + | 0.296077i | ||||
\(725\) | −6.83326e6 | + | 1.18356e7i | −0.482817 | + | 0.836264i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.22044e7 | −1.55813 | −0.779065 | − | 0.626943i | \(-0.784306\pi\) | ||||
−0.779065 | + | 0.626943i | \(0.784306\pi\) | |||||||
\(728\) | −4.49798e6 | − | 4.03667e6i | −0.314550 | − | 0.282290i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.85642e6 | − | 3.21541e6i | −0.128934 | − | 0.223321i | ||||
\(731\) | 1.48371e6 | − | 2.56986e6i | 0.102696 | − | 0.177875i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.45286e7 | + | 2.51643e7i | 0.998766 | + | 1.72991i | 0.542401 | + | 0.840120i | \(0.317515\pi\) |
0.456365 | + | 0.889793i | \(0.349151\pi\) | |||||||
\(734\) | 7.81804e6 | 0.535621 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.45616e6 | 0.0990865 | ||||||||
\(737\) | 3.63461e6 | + | 6.29533e6i | 0.246484 | + | 0.426923i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.06761e7 | + | 1.84916e7i | −0.719122 | + | 1.24556i | 0.242226 | + | 0.970220i | \(0.422123\pi\) |
−0.961348 | + | 0.275337i | \(0.911211\pi\) | |||||||
\(740\) | 2.30180e6 | + | 3.98683e6i | 0.154521 | + | 0.267638i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.37559e7 | − | 1.23451e7i | −0.917234 | − | 0.823163i | ||||
\(743\) | −3.91874e6 | −0.260420 | −0.130210 | − | 0.991486i | \(-0.541565\pi\) | ||||
−0.130210 | + | 0.991486i | \(0.541565\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.05924e6 | − | 7.03081e6i | 0.267950 | − | 0.464103i | ||||
\(746\) | 4.42219e6 | − | 7.65946e6i | 0.290931 | − | 0.503908i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 4.41155e6 | 0.288295 | ||||||||
\(749\) | 69298.0 | − | 328669.i | 0.00451353 | − | 0.0214069i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.83456e6 | − | 4.90960e6i | −0.183394 | − | 0.317648i | 0.759640 | − | 0.650344i | \(-0.225375\pi\) |
−0.943034 | + | 0.332696i | \(0.892042\pi\) | |||||||
\(752\) | 1.19209e6 | − | 2.06476e6i | 0.0768713 | − | 0.133145i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 7.60180e6 | + | 1.31667e7i | 0.486954 | + | 0.843429i | ||||
\(755\) | 9.76293e6 | 0.623323 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1.91706e7 | −1.21590 | −0.607949 | − | 0.793976i | \(-0.708007\pi\) | ||||
−0.607949 | + | 0.793976i | \(0.708007\pi\) | |||||||
\(758\) | 7.62463e6 | + | 1.32063e7i | 0.481999 | + | 0.834846i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −738614. | + | 1.27932e6i | −0.0463856 | + | 0.0803423i | ||||
\(761\) | 7.31680e6 | + | 1.26731e7i | 0.457993 | + | 0.793268i | 0.998855 | − | 0.0478438i | \(-0.0152350\pi\) |
−0.540861 | + | 0.841112i | \(0.681902\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.36360e7 | − | 4.45531e6i | 0.847958 | − | 0.277056i | ||||
\(764\) | −4.21092e6 | −0.261002 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −7.61212e6 | + | 1.31846e7i | −0.468742 | + | 0.811884i | ||||
\(767\) | 1.10632e7 | − | 1.91621e7i | 0.679038 | − | 1.17613i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.57337e7 | 0.959432 | 0.479716 | − | 0.877424i | \(-0.340740\pi\) | ||||
0.479716 | + | 0.877424i | \(0.340740\pi\) | |||||||
\(770\) | 819266. | − | 3.88565e6i | 0.0497964 | − | 0.236176i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 6.64902e6 | + | 1.15164e7i | 0.401526 | + | 0.695464i | ||||
\(773\) | 2.02452e6 | − | 3.50658e6i | 0.121864 | − | 0.211074i | −0.798639 | − | 0.601810i | \(-0.794446\pi\) |
0.920503 | + | 0.390736i | \(0.127780\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −9.21626e6 | − | 1.59630e7i |