Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,6,Mod(193,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.193");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.q (of order \(3\), degree \(2\), not 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: | \(53.8889634572\) |
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 | 289.1 | ||
Root | \(-24.2462 + 41.9956i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 336.289 |
Dual form | 336.6.q.f.193.1 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(1\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −4.50000 | − | 7.79423i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −11.2462 | + | 19.4789i | −0.201178 | + | 0.348450i | −0.948908 | − | 0.315552i | \(-0.897810\pi\) |
0.747730 | + | 0.664002i | \(0.231144\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 96.4847 | − | 86.5893i | 0.744241 | − | 0.667912i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −40.5000 | + | 70.1481i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 170.231 | + | 294.849i | 0.424186 | + | 0.734712i | 0.996344 | − | 0.0854314i | \(-0.0272268\pi\) |
−0.572158 | + | 0.820144i | \(0.693894\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −728.416 | −1.19542 | −0.597711 | − | 0.801712i | \(-0.703923\pi\) | ||||
−0.597711 | + | 0.801712i | \(0.703923\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 202.431 | 0.232300 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −404.923 | − | 701.348i | −0.339821 | − | 0.588588i | 0.644578 | − | 0.764539i | \(-0.277033\pi\) |
−0.984399 | + | 0.175951i | \(0.943700\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 513.101 | − | 888.717i | 0.326076 | − | 0.564780i | −0.655654 | − | 0.755062i | \(-0.727607\pi\) |
0.981730 | + | 0.190282i | \(0.0609402\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1109.08 | − | 362.372i | −0.548800 | − | 0.179311i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 711.015 | − | 1231.51i | 0.280259 | − | 0.485423i | −0.691190 | − | 0.722674i | \(-0.742913\pi\) |
0.971448 | + | 0.237251i | \(0.0762464\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1309.55 | + | 2268.20i | 0.419055 | + | 0.725825i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 729.000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5218.03 | 1.15216 | 0.576079 | − | 0.817394i | \(-0.304582\pi\) | ||||
0.576079 | + | 0.817394i | \(0.304582\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3518.87 | − | 6094.87i | −0.657657 | − | 1.13909i | −0.981221 | − | 0.192889i | \(-0.938214\pi\) |
0.323564 | − | 0.946206i | \(-0.395119\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1532.08 | − | 2653.64i | 0.244904 | − | 0.424186i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 601.584 | + | 2853.22i | 0.0830092 | + | 0.393699i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6396.05 | + | 11078.3i | −0.768082 | + | 1.33036i | 0.170519 | + | 0.985354i | \(0.445456\pi\) |
−0.938601 | + | 0.345004i | \(0.887878\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3277.87 | + | 5677.44i | 0.345088 | + | 0.597711i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1173.51 | 0.109025 | 0.0545124 | − | 0.998513i | \(-0.482640\pi\) | ||||
0.0545124 | + | 0.998513i | \(0.482640\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3664.17 | −0.302207 | −0.151103 | − | 0.988518i | \(-0.548283\pi\) | ||||
−0.151103 | + | 0.988518i | \(0.548283\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −910.940 | − | 1577.79i | −0.0670592 | − | 0.116150i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4656.60 | − | 8065.46i | 0.307485 | − | 0.532580i | −0.670326 | − | 0.742066i | \(-0.733846\pi\) |
0.977812 | + | 0.209487i | \(0.0671793\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1811.59 | − | 16709.1i | 0.107788 | − | 0.994174i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3644.31 | + | 6312.13i | −0.196196 | + | 0.339821i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −17821.4 | − | 30867.6i | −0.871469 | − | 1.50943i | −0.860477 | − | 0.509489i | \(-0.829835\pi\) |
−0.0109916 | − | 0.999940i | \(-0.503499\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7657.78 | −0.341347 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −9235.81 | −0.376520 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −15188.1 | − | 26306.5i | −0.568033 | − | 0.983861i | −0.996760 | − | 0.0804276i | \(-0.974371\pi\) |
0.428728 | − | 0.903434i | \(-0.358962\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −16093.1 | + | 27874.1i | −0.553753 | + | 0.959128i | 0.444247 | + | 0.895904i | \(0.353471\pi\) |
−0.997999 | + | 0.0632231i | \(0.979862\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2166.44 | + | 10275.1i | 0.0687694 | + | 0.326162i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 8191.89 | − | 14188.8i | 0.240492 | − | 0.416544i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10675.5 | + | 18490.6i | 0.290538 | + | 0.503226i | 0.973937 | − | 0.226819i | \(-0.0728324\pi\) |
−0.683399 | + | 0.730045i | \(0.739499\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −12798.3 | −0.323615 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −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 | 0.545398 | − | 0.838177i | \(-0.316378\pi\) |
−0.998582 | + | 0.0532401i | \(0.983045\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 11785.9 | − | 20413.8i | 0.241942 | − | 0.419055i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 41955.4 | + | 13708.2i | 0.806419 | + | 0.263484i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −17500.2 | + | 30311.3i | −0.315483 | + | 0.546433i | −0.979540 | − | 0.201249i | \(-0.935500\pi\) |
0.664057 | + | 0.747682i | \(0.268833\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3280.50 | − | 5681.99i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −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 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −23481.1 | − | 40670.5i | −0.332599 | − | 0.576079i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −38996.3 | + | 67543.6i | −0.521853 | + | 0.903876i | 0.477824 | + | 0.878456i | \(0.341426\pi\) |
−0.999677 | + | 0.0254206i | \(0.991908\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −70281.0 | + | 63073.0i | −0.889681 | + | 0.798436i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −31669.9 | + | 54853.8i | −0.379698 | + | 0.657657i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 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 | \(0.837713\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −27577.4 | −0.282791 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 32927.2 | + | 57031.6i | 0.321182 | + | 0.556304i | 0.980732 | − | 0.195357i | \(-0.0625865\pi\) |
−0.659550 | + | 0.751661i | \(0.729253\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 65099.0 | − | 112755.i | 0.604619 | − | 1.04723i | −0.387493 | − | 0.921873i | \(-0.626659\pi\) |
0.992112 | − | 0.125358i | \(-0.0400078\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 19531.5 | − | 17528.4i | 0.172887 | − | 0.155156i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1295.48 | − | 2243.83i | 0.0109388 | − | 0.0189466i | −0.860504 | − | 0.509443i | \(-0.829851\pi\) |
0.871443 | + | 0.490497i | \(0.163185\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −55326.9 | − | 95828.9i | −0.446036 | − | 0.772557i | 0.552088 | − | 0.833786i | \(-0.313831\pi\) |
−0.998124 | + | 0.0612291i | \(0.980498\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 115129. | 0.886905 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −193910. | −1.42858 | −0.714291 | − | 0.699849i | \(-0.753251\pi\) | ||||
−0.714291 | + | 0.699849i | \(0.753251\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 15992.4 | + | 27699.7i | 0.112764 | + | 0.195312i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 29500.8 | − | 51097.0i | 0.199237 | − | 0.345088i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −99798.1 | − | 32607.3i | −0.646033 | − | 0.211080i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 22568.4 | − | 39089.6i | 0.140132 | − | 0.242716i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −5280.77 | − | 9146.57i | −0.0314728 | − | 0.0545124i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −129198. | −0.739573 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −27429.2 | −0.150905 | −0.0754526 | − | 0.997149i | \(-0.524040\pi\) | ||||
−0.0754526 | + | 0.997149i | \(0.524040\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 16488.7 | + | 28559.3i | 0.0872395 | + | 0.151103i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 75188.0 | − | 130229.i | 0.382798 | − | 0.663026i | −0.608663 | − | 0.793429i | \(-0.708294\pi\) |
0.991461 | + | 0.130403i | \(0.0416271\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −27447.0 | − | 130177.i | −0.134544 | − | 0.638122i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −8198.46 | + | 14200.1i | −0.0387167 | + | 0.0670592i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −48051.0 | − | 83226.8i | −0.218726 | − | 0.378845i | 0.735693 | − | 0.677316i | \(-0.236857\pi\) |
−0.954419 | + | 0.298471i | \(0.903524\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −100854. | −0.442749 | −0.221375 | − | 0.975189i | \(-0.571054\pi\) | ||||
−0.221375 | + | 0.975189i | \(0.571054\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −83818.7 | −0.355053 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −123999. | − | 214772.i | −0.507081 | − | 0.878291i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −58682.9 | + | 101642.i | −0.231788 | + | 0.401469i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −138387. | + | 61070.9i | −0.528203 | + | 0.233099i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 180472. | − | 312587.i | 0.665954 | − | 1.15347i | −0.313071 | − | 0.949730i | \(-0.601358\pi\) |
0.979026 | − | 0.203737i | \(-0.0653087\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −217028. | − | 375903.i | −0.774592 | − | 1.34163i | −0.935023 | − | 0.354586i | \(-0.884622\pi\) |
0.160431 | − | 0.987047i | \(-0.448712\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 65597.6 | 0.226548 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 158295. | 0.529223 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 255798. | + | 443055.i | 0.828225 | + | 1.43453i | 0.899430 | + | 0.437066i | \(0.143982\pi\) |
−0.0712046 | + | 0.997462i | \(0.522684\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −160393. | + | 277808.i | −0.503143 | + | 0.871469i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −38033.9 | − | 180389.i | −0.115639 | − | 0.548459i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −125635. | + | 217606.i | −0.370374 | + | 0.641507i | −0.989623 | − | 0.143688i | \(-0.954104\pi\) |
0.619249 | + | 0.785195i | \(0.287437\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 34460.0 | + | 59686.5i | 0.0985384 | + | 0.170674i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −419277. | −1.16335 | −0.581674 | − | 0.813422i | \(-0.697602\pi\) | ||||
−0.581674 | + | 0.813422i | \(0.697602\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 159297. | 0.429032 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 41561.2 | + | 71986.0i | 0.108692 | + | 0.188260i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 230688. | − | 399564.i | 0.586017 | − | 1.01501i | −0.408731 | − | 0.912655i | \(-0.634029\pi\) |
0.994748 | − | 0.102356i | \(-0.0326381\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 322753. | + | 105454.i | 0.796665 | + | 0.260296i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −136693. | + | 236759.i | −0.327954 | + | 0.568033i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 370853. | + | 642336.i | 0.865105 | + | 1.49841i | 0.866942 | + | 0.498408i | \(0.166082\pi\) |
−0.00183697 | + | 0.999998i | \(0.500585\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 301371. | 0.683762 | 0.341881 | − | 0.939743i | \(-0.388936\pi\) | ||||
0.341881 | + | 0.939743i | \(0.388936\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 289676. | 0.639418 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −143862. | − | 249177.i | −0.309042 | − | 0.535277i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 137861. | − | 238782.i | 0.288295 | − | 0.499342i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 70337.3 | − | 63123.6i | 0.143229 | − | 0.128540i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 131591. | − | 227923.i | 0.261002 | − | 0.452069i | −0.705507 | − | 0.708703i | \(-0.749280\pi\) |
0.966508 | + | 0.256635i | \(0.0826138\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 415563. | + | 719777.i | 0.803053 | + | 1.39093i | 0.917598 | + | 0.397510i | \(0.130126\pi\) |
−0.114545 | + | 0.993418i | \(0.536541\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −147454. | −0.277696 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.05421e6 | −1.93536 | −0.967681 | − | 0.252178i | \(-0.918853\pi\) | ||||
−0.967681 | + | 0.252178i | \(0.918853\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 349284. | + | 604977.i | 0.625239 | + | 1.08295i | 0.988495 | + | 0.151256i | \(0.0483317\pi\) |
−0.363256 | + | 0.931689i | \(0.618335\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 96079.9 | − | 166415.i | 0.167742 | − | 0.290538i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 503460. | − | 451826.i | 0.857482 | − | 0.769539i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −13197.4 | + | 22858.6i | −0.0219334 | + | 0.0379897i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 57592.2 | + | 99752.7i | 0.0934196 | + | 0.161808i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 349382. | 0.553268 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 99693.6 | 0.154156 | 0.0770781 | − | 0.997025i | \(-0.475441\pi\) | ||||
0.0770781 | + | 0.997025i | \(0.475441\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 275192. | + | 476646.i | 0.415611 | + | 0.719859i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 41207.8 | − | 71374.1i | 0.0607972 | − | 0.105304i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −867267. | − | 283365.i | −1.25027 | − | 0.408504i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −185705. | + | 321651.i | −0.261646 | + | 0.453184i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 294953. | + | 510873.i | 0.406230 | + | 0.703610i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −526194. | −0.708572 | −0.354286 | − | 0.935137i | \(-0.615276\pi\) | ||||
−0.354286 | + | 0.935137i | \(0.615276\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −212147. | −0.279370 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −490802. | − | 850095.i | −0.632182 | − | 1.09497i | −0.987105 | − | 0.160076i | \(-0.948826\pi\) |
0.354923 | − | 0.934896i | \(-0.384507\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 42540.5 | − | 73682.3i | 0.0536061 | − | 0.0928484i | −0.837977 | − | 0.545705i | \(-0.816262\pi\) |
0.891583 | + | 0.452857i | \(0.149595\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −81954.4 | − | 388697.i | −0.101051 | − | 0.479271i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −56561.4 | + | 97967.3i | −0.0682544 | + | 0.118220i | −0.898133 | − | 0.439724i | \(-0.855076\pi\) |
0.829879 | + | 0.557944i | \(0.188410\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 104738. | + | 181411.i | 0.123718 | + | 0.214286i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 315004. | 0.364288 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 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 | 0.681797 | − | 0.731542i | \(-0.261199\pi\) |
−0.974432 | + | 0.224683i | \(0.927865\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −29524.5 | + | 51137.9i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 305102. | + | 223201.i | 0.324735 | + | 0.237564i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −373751. | + | 647355.i | −0.389798 | + | 0.675150i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 387868. | + | 671808.i | 0.396448 | + | 0.686668i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 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 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −81969.1 | − | 141975.i | −0.0789405 | − | 0.136729i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 597462. | − | 1.03483e6i | 0.564257 | − | 0.977322i | −0.432861 | − | 0.901461i | \(-0.642496\pi\) |
0.997118 | − | 0.0758617i | \(-0.0241707\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 342140. | + | 1.62272e6i | 0.316923 | + | 1.50312i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −211330. | + | 366035.i | −0.192026 | + | 0.332599i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.06115e6 | − | 1.83797e6i | −0.945993 | − | 1.63851i | −0.753750 | − | 0.657161i | \(-0.771757\pi\) |
−0.192244 | − | 0.981347i | \(-0.561576\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 801690. | 0.701280 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 701933. | 0.602584 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −77488.3 | − | 134214.i | −0.0652913 | − | 0.113088i | 0.831532 | − | 0.555477i | \(-0.187464\pi\) |
−0.896823 | + | 0.442389i | \(0.854131\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 979439. | − | 1.69644e6i | 0.810129 | − | 1.40318i | −0.102645 | − | 0.994718i | \(-0.532730\pi\) |
0.912773 | − | 0.408466i | \(-0.133936\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 807870. | + | 263957.i | 0.656047 | + | 0.214352i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −445851. | + | 772236.i | −0.355515 | + | 0.615770i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 874763. | + | 1.51513e6i | 0.685001 | + | 1.18646i | 0.973437 | + | 0.228957i | \(0.0735315\pi\) |
−0.288436 | + | 0.957499i | \(0.593135\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 570057. | 0.438438 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.40665e6 | 1.06272 | 0.531361 | − | 0.847145i | \(-0.321681\pi\) | ||||
0.531361 | + | 0.847145i | \(0.321681\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 978536. | + | 1.69487e6i | 0.726291 | + | 1.25797i | 0.958441 | + | 0.285292i | \(0.0920907\pi\) |
−0.232150 | + | 0.972680i | \(0.574576\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 103868. | − | 179904.i | 0.0757474 | − | 0.131198i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 113225. | − | 101613.i | 0.0811407 | − | 0.0728189i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 382002. | − | 661648.i | 0.269043 | − | 0.465996i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 727944. | + | 1.26084e6i | 0.503925 | + | 0.872823i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1.26998e6 | −0.864229 | −0.432114 | − | 0.901819i | \(-0.642232\pi\) | ||||
−0.432114 | + | 0.901819i | \(0.642232\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 683232. | 0.457102 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 124098. | + | 214945.i | 0.0816347 | + | 0.141395i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −517915. | + | 897055.i | −0.335027 | + | 0.580285i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −353536. | + | 317277.i | −0.224914 | + | 0.201847i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 296345. | − | 513284.i | 0.185435 | − | 0.321182i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −361972. | − | 626954.i | −0.222805 | − | 0.385910i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 41854.4 | 0.0253451 | 0.0126726 | − | 0.999920i | \(-0.495966\pi\) | ||||
0.0126726 | + | 0.999920i | \(0.495966\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.17178e6 | −0.698154 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.14595e6 | − | 1.98484e6i | −0.671837 | − | 1.16366i | −0.977383 | − | 0.211478i | \(-0.932172\pi\) |
0.305546 | − | 0.952177i | \(-0.401161\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.13575e6 | + | 1.96717e6i | −0.655271 | + | 1.13496i | 0.326555 | + | 0.945178i | \(0.394112\pi\) |
−0.981826 | + | 0.189785i | \(0.939221\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −224512. | − | 73355.4i | −0.127486 | − | 0.0416539i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 992372. | − | 1.71884e6i | 0.554659 | − | 0.960698i | −0.443271 | − | 0.896388i | \(-0.646182\pi\) |
0.997930 | − | 0.0643100i | \(-0.0204847\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 888270. | + | 1.53853e6i | 0.488729 | + | 0.846504i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −23318.6 | −0.0126310 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −831066. | −0.443230 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −953895. | − | 1.65219e6i | −0.500947 | − | 0.867666i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −497942. | + | 862460.i | −0.257519 | + | 0.446036i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −249092. | − | 1.18141e6i | −0.126873 | − | 0.601740i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 319230. | − | 552923.i | 0.160153 | − | 0.277393i | −0.774771 | − | 0.632242i | \(-0.782135\pi\) |
0.934923 | + | 0.354850i | \(0.115468\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −518080. | − | 897342.i | −0.256027 | − | 0.443453i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −480236. | −0.233799 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.72026e6 | 1.30478 | 0.652388 | − | 0.757886i | \(-0.273767\pi\) | ||||
0.652388 | + | 0.757886i | \(0.273767\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 872597. | + | 1.51138e6i | 0.412396 | + | 0.714291i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.19804e6 | − | 2.07507e6i | 0.557938 | − | 0.966377i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.27204e6 | − | 1.76903e6i | −0.583800 | − | 0.811897i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 143932. | − | 249297.i | 0.0651041 | − | 0.112764i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.31038e6 | + | 2.26965e6i | 0.584217 | + | 1.01189i | 0.994973 | + | 0.100148i | \(0.0319317\pi\) |
−0.410755 | + | 0.911746i | \(0.634735\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 575592. | 0.252960 | 0.126480 | − | 0.991969i | \(-0.459632\pi\) | ||||
0.126480 | + | 0.991969i | \(0.459632\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −531015. | −0.230059 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.29486e6 | + | 2.24276e6i | 0.553077 | + | 0.957957i | 0.998050 | + | 0.0624135i | \(0.0198797\pi\) |
−0.444974 | + | 0.895544i | \(0.646787\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 687746. | − | 1.19121e6i | 0.289639 | − | 0.501669i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 194943. | + | 924582.i | 0.0809537 | + | 0.383950i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 1.43389e6 | − | 2.48358e6i | 0.587193 | − | 1.01705i | −0.407405 | − | 0.913248i | \(-0.633566\pi\) |
0.994598 | − | 0.103801i | \(-0.0331005\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 711505. | + | 1.23236e6i | 0.287349 | + | 0.497703i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −406231. | −0.161811 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 928210. | 0.364682 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −977255. | − | 1.69265e6i | −0.378741 | − | 0.655999i | 0.612138 | − | 0.790751i | \(-0.290310\pi\) |
−0.990879 | + | 0.134752i | \(0.956976\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −47527.0 | + | 82319.1i | −0.0181708 | + | 0.0314728i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −4.39229e6 | − | 1.43510e6i | −1.65675 | − | 0.541314i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.10555e6 | + | 1.91486e6i | −0.411439 | + | 0.712633i | −0.995047 | − | 0.0994020i | \(-0.968307\pi\) |
0.583608 | + | 0.812035i | \(0.301640\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 581392. | + | 1.00700e6i | 0.213496 | + | 0.369787i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −3.80090e6 | −1.37731 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −3.81232e6 | −1.36330 | −0.681649 | − | 0.731679i | \(-0.738737\pi\) | ||||
−0.681649 | + | 0.731679i | \(0.738737\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 123432. | + | 213790.i | 0.0435626 | + | 0.0754526i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.90303e6 | − | 3.29614e6i | 0.662901 | − | 1.14818i | −0.316949 | − | 0.948442i | \(-0.602658\pi\) |
0.979850 | − | 0.199735i | \(-0.0640082\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −738859. | + | 663082.i | −0.254044 | + | 0.227990i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 148399. | − | 257034.i | 0.0503678 | − | 0.0872395i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −1.53762e6 | − | 2.66324e6i | −0.515200 | − | 0.892352i | −0.999844 | − | 0.0176410i | \(-0.994384\pi\) |
0.484645 | − | 0.874711i | \(-0.338949\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.15163e6 | −0.380952 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.35338e6 | −0.442017 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −393621. | − | 681772.i | −0.126936 | − | 0.219860i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.09566e6 | + | 1.89774e6i | −0.348900 | + | 0.604312i | −0.986054 | − | 0.166424i | \(-0.946778\pi\) |
0.637154 | + | 0.770736i | \(0.280111\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −891115. | + | 799722.i | −0.280221 | + | 0.251482i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −888340. | + | 1.53865e6i | −0.275879 | + | 0.477836i | −0.970356 | − | 0.241678i | \(-0.922302\pi\) |
0.694478 | + | 0.719514i | \(0.255635\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.56320e6 | + | 4.43960e6i | 0.786177 | + | 1.36170i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 147572. | 0.0447061 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −4.35522e6 | −1.30324 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.18059e6 | − | 2.04484e6i | −0.348973 | − | 0.604438i | 0.637095 | − | 0.770786i | \(-0.280136\pi\) |
−0.986067 | + | 0.166347i | \(0.946803\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −432459. | + | 749041.i | −0.126282 | + | 0.218726i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −3.74328e6 | − | 1.22305e6i | −1.07989 | − | 0.352834i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 969341. | − | 1.67895e6i | 0.276284 | − | 0.478539i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 453845. | + | 786082.i | 0.127811 | + | 0.221375i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 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 | \(0.628523\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 377184. | + | 653302.i | 0.102495 | + | 0.177527i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.06053e6 | − | 1.83690e6i | 0.284808 | − | 0.493301i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 860859. | + | 4.08292e6i | 0.228487 | + | 1.08368i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.11599e6 | + | 1.93295e6i | −0.292764 | + | 0.507081i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −44193.1 | − | 76544.7i | −0.0114594 | − | 0.0198482i | 0.860239 | − | 0.509891i | \(-0.170314\pi\) |
−0.871698 | + | 0.490043i | \(0.836981\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −3.09418e6 | −0.793097 | −0.396549 | − | 0.918014i | \(-0.629792\pi\) | ||||
−0.396549 | + | 0.918014i | \(0.629792\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.05629e6 | 0.267646 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −729645. | − | 1.26378e6i | −0.182771 | − | 0.316569i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 242589. | − | 420177.i | 0.0600773 | − | 0.104057i | −0.834422 | − | 0.551125i | \(-0.814199\pi\) |
0.894500 | + | 0.447068i | \(0.147532\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.09874e6 | + | 803797.i | 0.269029 | + | 0.196811i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 637598. | − | 1.10435e6i | 0.154361 | − | 0.267361i | −0.778465 | − | 0.627688i | \(-0.784001\pi\) |
0.932826 | + | 0.360327i | \(0.117335\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −877118. | − | 1.51921e6i | −0.209970 | − | 0.363679i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −3.24850e6 | −0.768978 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −3.79144e6 | −0.887541 | −0.443770 | − | 0.896141i | \(-0.646359\pi\) | ||||
−0.443770 | + | 0.896141i | \(0.646359\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 199767. | + | 346006.i | 0.0462468 | + | 0.0801019i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −1.95325e6 | + | 3.38313e6i | −0.447211 | + | 0.774592i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −438203. | − | 2.07833e6i | −0.0992310 | − | 0.470637i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −851404. | + | 1.47467e6i | −0.190698 | + | 0.330298i | −0.945482 | − | 0.325675i | \(-0.894408\pi\) |
0.754784 | + | 0.655973i | \(0.227742\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −295189. | − | 511283.i | −0.0653986 | − | 0.113274i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 4.55537e6 | 0.998323 | 0.499161 | − | 0.866509i | \(-0.333642\pi\) | ||||
0.499161 | + | 0.866509i | \(0.333642\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.82647e6 | −1.26314 | −0.631572 | − | 0.775317i | \(-0.717590\pi\) | ||||
−0.631572 | + | 0.775317i | \(0.717590\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −712329. | − | 1.23379e6i | −0.152774 | − | 0.264612i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.77131e6 | + | 3.06799e6i | −0.375839 | + | 0.650972i | −0.990452 | − | 0.137857i | \(-0.955979\pi\) |
0.614614 | + | 0.788828i | \(0.289312\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.63111e6 | + | 859670.i | 0.552341 | + | 0.180468i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.30218e6 | − | 3.98750e6i | 0.478176 | − | 0.828225i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −623754. | − | 1.08037e6i | −0.128192 | − | 0.222035i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.68772e6 | 0.546575 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.88707e6 | 0.580979 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −2.11771e6 | − | 3.66798e6i | −0.421723 | − | 0.730446i | 0.574385 | − | 0.818585i | \(-0.305241\pi\) |
−0.996108 | + | 0.0881390i | \(0.971908\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.65899e6 | − | 8.06960e6i | 0.918182 | − | 1.59034i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.23484e6 | + | 1.10819e6i | −0.240847 | + | 0.216146i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.81924e6 | − | 3.15102e6i | 0.351185 | − | 0.608270i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.82740e6 | − | 4.89719e6i | −0.540212 | − | 0.935675i | −0.998891 | − | 0.0470729i | \(-0.985011\pi\) |
0.458679 | − | 0.888602i | \(-0.348323\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 2.26142e6 | 0.427671 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −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 | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 310140. | − | 537179.i | 0.0568912 | − | 0.0985384i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −5.90040e6 | + | 5.29526e6i | −1.07150 | + | 0.961604i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.61884e6 | + | 6.26802e6i | −0.650607 | + | 1.12688i | 0.332369 | + | 0.943149i | \(0.392152\pi\) |
−0.982976 | + | 0.183734i | \(0.941181\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.88674e6 | + | 3.26794e6i | 0.335829 | + | 0.581674i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 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 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −716835. | − | 1.24159e6i | −0.123851 | − | 0.214516i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −917439. | + | 1.58905e6i | −0.156958 | + | 0.271859i | −0.933770 | − | 0.357873i | \(-0.883502\pi\) |
0.776812 | + | 0.629732i | \(0.216835\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.08547e6 | − | 1.66159e6i | −0.861546 | − | 0.281495i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 374050. | − | 647874.i | 0.0627533 | − | 0.108692i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.46423e6 | + | 2.53612e6i | 0.243272 | + | 0.421359i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.17079e6 | 0.521724 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −4.15239e6 | −0.676674 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −2.65520e6 | − | 4.59894e6i | −0.428551 | − | 0.742273i | 0.568193 | − | 0.822895i | \(-0.307643\pi\) |
−0.996745 | + | 0.0806224i | \(0.974309\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.49418e6 | + | 2.58799e6i | −0.238862 | + | 0.413722i | −0.960388 | − | 0.278666i | \(-0.910108\pi\) |
0.721526 | + | 0.692388i | \(0.243441\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −630457. | − | 2.99016e6i | −0.0998291 | − | 0.473473i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −2.84975e6 | + | 4.93591e6i | −0.446972 | + | 0.774178i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.20709e6 | + | 3.82279e6i | 0.342910 | + | 0.593937i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.46047e6 | 0.378688 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −854800. | −0.130331 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 29138.3 | + | 50469.0i | 0.00440128 | + | 0.00762325i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 3.33768e6 | − | 5.78102e6i | 0.499469 | − | 0.865105i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 5.23504e6 | − | 2.31026e6i | 0.776154 | − | 0.342522i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.08416e6 | + | 1.87782e6i | −0.159258 | + | 0.275843i | −0.934601 | − | 0.355697i | \(-0.884243\pi\) |
0.775343 | + | 0.631540i | \(0.217577\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −1.35617e6 | − | 2.34895e6i | −0.197385 | − | 0.341881i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 2.48886e6 | 0.358930 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.13272e6 | 1.30506 | 0.652532 | − | 0.757761i | \(-0.273707\pi\) | ||||
0.652532 | + | 0.757761i | \(0.273707\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.30354e6 | − | 2.25780e6i | −0.184584 | − | 0.319709i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 2.67738e6 | − | 4.63735e6i | 0.375691 | − | 0.650715i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 936128. | + | 4.43991e6i | 0.130173 | + | 0.617392i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.29476e6 | + | 2.24259e6i | −0.178426 | + | 0.309042i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 4.61014e6 | + | 7.98500e6i | 0.629617 | + | 1.09053i | 0.987629 | + | 0.156811i | \(0.0501214\pi\) |
−0.358012 | + | 0.933717i | \(0.616545\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.66904e6 | 0.361264 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.48150e6 | −0.332894 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 4.24638e6 | + | 7.35495e6i | 0.564610 | + | 0.977933i | 0.997086 | + | 0.0762872i | \(0.0243066\pi\) |
−0.432476 | + | 0.901645i | \(0.642360\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.18075e6 | − | 3.77717e6i | 0.287399 | − | 0.497789i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −808518. | − | 264169.i | −0.105617 | − | 0.0345084i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 2.35456e6 | − | 4.07822e6i | 0.304880 | − | 0.528068i | −0.672355 | − | 0.740229i | \(-0.734717\pi\) |
0.977235 | + | 0.212162i | \(0.0680503\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −864035. | − | 1.49655e6i | −0.110902 | − | 0.192089i | 0.805232 | − | 0.592960i | \(-0.202041\pi\) |
−0.916134 | + | 0.400871i | \(0.868707\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −2.36864e6 | −0.301379 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 3.72443e6 | 0.469776 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.19249e6 | − | 2.06546e6i | −0.149113 | − | 0.258272i | 0.781787 | − | 0.623546i | \(-0.214309\pi\) |
−0.930900 | + | 0.365274i | \(0.880975\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 3.74007e6 | − | 6.47799e6i | 0.463643 | − | 0.803053i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −8.31630e6 | + | 7.46339e6i | −1.02209 | + | 0.917267i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 6.06750e6 | − | 1.05092e7i | 0.739330 | − | 1.28056i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 663543. | + | 1.14929e6i | 0.0801640 | + | 0.138848i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 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 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 4.74395e6 | + | 8.21676e6i | 0.558691 | + | 0.967681i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −567341. | + | 982664.i | −0.0662533 | + | 0.114754i | −0.897249 | − | 0.441524i | \(-0.854438\pi\) |
0.830996 | + | 0.556278i | \(0.187771\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.75750e6 | − | 1.57725e6i | 0.203518 | − | 0.182646i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 3.14355e6 | − | 5.44480e6i | 0.360982 | − | 0.625239i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 3.80933e6 | + | 6.59795e6i | 0.433792 | + | 0.751349i | 0.997196 | − | 0.0748320i | \(-0.0238420\pi\) |
−0.563404 | + | 0.826181i | \(0.690509\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9.78414e6 | 1.10493 | 0.552467 | − | 0.833535i | \(-0.313686\pi\) | ||||
0.552467 | + | 0.833535i | \(0.313686\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.72944e6 | −0.193692 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 507616. | + | 879217.i | 0.0563829 | + | 0.0976580i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 926673. | − | 1.60504e6i | 0.102083 | − | 0.176813i | −0.810460 | − | 0.585795i | \(-0.800783\pi\) |
0.912543 | + | 0.408981i | \(0.134116\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −5.78720e6 | − | 1.89087e6i | −0.632304 | − | 0.206594i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −3.39194e6 | + | 5.87501e6i | −0.367574 | + | 0.636657i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.56048e6 | + | 6.16694e6i | 0.382699 | + | 0.662855i | 0.991447 | − | 0.130509i | \(-0.0416612\pi\) |
−0.608748 | + | 0.793364i | \(0.708328\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 237554. | 0.0253265 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.75212e6 | −0.291041 | −0.145521 | − | 0.989355i | \(-0.546486\pi\) | ||||
−0.145521 | + | 0.989355i | \(0.546486\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.51660e6 | − | 1.12871e7i | −0.683588 | − | 1.18401i | −0.973878 | − | 0.227070i | \(-0.927085\pi\) |
0.290291 | − | 0.956939i | \(-0.406248\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 518330. | − | 897774.i | 0.0539358 | − | 0.0934196i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 2.08600e6 | + | 9.89358e6i | 0.215325 | + | 1.02125i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.63935e6 | + | 4.57149e6i | −0.270269 | + | 0.468120i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.57222e6 | − | 2.72317e6i | −0.159715 | − | 0.276634i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 1.03597e7 | 1.04404 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.40820e6 | 0.440745 | 0.220373 | − | 0.975416i | \(-0.429273\pi\) | ||||
0.220373 | + | 0.975416i | \(0.429273\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −448621. | − | 777035.i | −0.0445011 | − | 0.0770781i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 308474. | − | 534293.i | 0.0303588 | − | 0.0525829i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.31959e6 | + | 1.21712e7i | −0.128852 | + | 1.18846i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 2.47673e6 | − | 4.28982e6i | 0.239953 | − | 0.415611i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 3.99195e6 | + | 6.91426e6i | 0.383742 | + | 0.664661i | 0.991594 | − | 0.129389i | \(-0.0413017\pi\) |
−0.607851 | + | 0.794051i | \(0.707968\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.52102e6 | −0.145080 | −0.0725398 | − | 0.997366i | \(-0.523110\pi\) | ||||
−0.0725398 | + | 0.997366i | \(0.523110\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −741741. | −0.0702026 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −6.26247e6 | − | 1.08469e7i | −0.588146 | − | 1.01870i | −0.994475 | − | 0.104972i | \(-0.966525\pi\) |
0.406329 | − | 0.913727i | \(-0.366809\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.17096e6 | − | 8.95637e6i | 0.481903 | − | 0.834681i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.69409e6 | + | 8.03482e6i | 0.156670 | + | 0.743060i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 8.53702e6 | − | 1.47865e7i | 0.783471 | − | 1.35701i | −0.146436 | − | 0.989220i | \(-0.546780\pi\) |
0.929908 | − | 0.367792i | \(-0.119886\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.69115e6 | + | 2.92916e6i | 0.154021 | + | 0.266772i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 3.34269e6 | 0.302122 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 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 | 0.918073 | − | 0.396412i | \(-0.129745\pi\) |
−0.802339 | + | 0.596868i | \(0.796412\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 2.65457e6 | − | 4.59786e6i | 0.234537 | − | 0.406230i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 2.84438e6 | + | 929350.i | 0.249421 | + | 0.0814940i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.71010e6 | − | 6.42608e6i | 0.322902 | − | 0.559283i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.36787e6 | + | 4.10128e6i | 0.204547 | + | 0.354286i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −1.09582e7 | −0.939577 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.44746e7 | −1.23188 | −0.615942 | − | 0.787792i | \(-0.711224\pi\) | ||||
−0.615942 | + | 0.787792i | \(0.711224\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 954660. | + | 1.65352e6i | 0.0806472 | + | 0.139685i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 1.64423e6 | − | 2.84788e6i | 0.137876 | − | 0.238809i | −0.788816 | − | 0.614629i | \(-0.789306\pi\) |
0.926693 | + | 0.375820i | \(0.122639\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.56079e7 | + | 1.40071e7i | −1.29918 | + | 1.16594i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −4.41722e6 | + | 7.65085e6i | −0.364990 | + | 0.632182i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 4.40943e6 | + | 7.63736e6i | 0.361685 | + | 0.626458i | 0.988238 | − | 0.152921i | \(-0.0488681\pi\) |
−0.626553 | + | 0.779379i | \(0.715535\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.16156e6 | 0.176011 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −765729. | −0.0618989 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.29814e7 | + | 2.24844e7i | 1.04177 | + | 1.80440i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.29808e6 | + | 7.44450e6i | −0.342436 | + | 0.593117i | −0.984885 | − | 0.173212i | \(-0.944585\pi\) |
0.642448 | + | 0.766329i | \(0.277919\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.66080e6 | + | 2.38791e6i | −0.210464 | + | 0.188879i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 1.13423e6 | − | 1.96454e6i | 0.0890713 | − | 0.154276i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −475180. | − | 823035.i | −0.0370490 | − | 0.0641707i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.01811e6 | 0.0788134 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.06437e7 | 1.58669 | 0.793347 | − | 0.608770i | \(-0.208337\pi\) | ||||
0.793347 | + | 0.608770i | \(0.208337\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 6.56364e6 | + | 1.13686e7i | 0.500906 | + | 0.867595i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 942640. | − | 1.63270e6i | 0.0714288 | − | 0.123718i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 8.11530e6 | + | 2.65153e6i | 0.610599 | + | 0.199503i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 213441. | − | 369691.i | 0.0159464 | − | 0.0276200i | −0.857942 | − | 0.513746i | \(-0.828257\pi\) |
0.873888 | + | 0.486126i | \(0.161591\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.41752e6 | − | 2.45521e6i | −0.105161 | − | 0.182144i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.00079e7 | −0.737257 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.57805e6 | 0.408054 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −4.02795e6 | − | 6.97662e6i | −0.292608 | − | 0.506812i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 1.90362e6 | − | 3.29716e6i | 0.137328 | − | 0.237858i | −0.789157 | − | 0.614192i | \(-0.789482\pi\) |
0.926484 | + | 0.376334i | \(0.122815\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.48230e6 | − | 1.65160e7i | −0.249476 | − | 1.18322i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −2.37472e6 | + | 4.11313e6i | −0.168953 | + | 0.292635i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 6.83326e6 | + | 1.18356e7i | 0.482817 | + | 0.836264i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.22044e7 | 1.55813 | 0.779065 | − | 0.626943i | \(-0.215694\pi\) | ||||
0.779065 | + | 0.626943i | \(0.215694\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 531441. | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.48371e6 | + | 2.56986e6i | 0.102696 | + | 0.177875i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.45286e7 | − | 2.51643e7i | 0.998766 | − | 1.72991i | 0.456365 | − | 0.889793i | \(-0.349151\pi\) |
0.542401 | − | 0.840120i | \(-0.317515\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 366723. | − | 3.38244e6i | 0.0250391 | − | 0.230947i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −3.63461e6 | + | 6.29533e6i | −0.246484 | + | 0.426923i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.06761e7 | + | 1.84916e7i | 0.719122 | + | 1.24556i | 0.961348 | + | 0.275337i | \(0.0887893\pi\) |
−0.242226 | + | 0.970220i | \(0.577877\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 6.72751e6 | 0.450100 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −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 | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 3.49081e6 | − | 6.04627e6i | 0.228889 | − | 0.396448i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −69298.0 | − | 328669.i | −0.00451353 | − | 0.0214069i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.83456e6 | − | 4.90960e6i | 0.183394 | − | 0.317648i | −0.759640 | − | 0.650344i | \(-0.774625\pi\) |
0.943034 | + | 0.332696i | \(0.107958\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −5.36817e6 | − | 9.29794e6i | −0.345015 | − | 0.597584i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 9.76293e6 | 0.623323 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1.91706e7 | −1.21590 | −0.607949 | − | 0.793976i | \(-0.708007\pi\) | ||||
−0.607949 | + | 0.793976i | \(0.708007\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −2.17866e6 | − | 3.77355e6i | −0.137273 | − | 0.237764i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −7.31680e6 | + | 1.26731e7i | −0.457993 | + | 0.793268i | −0.998855 | − | 0.0478438i | \(-0.984765\pi\) |
0.540861 | + | 0.841112i | \(0.318098\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.36360e7 | − | 4.45531e6i | −0.847958 | − | 0.277056i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −737722. | + | 1.27777e6i | −0.0455763 | + | 0.0789405i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 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 | \(0.340740\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.07543e7 | −0.651548 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −2.02452e6 | − | 3.50658e6i | −0.121864 | − | 0.211074i | 0.798639 | − | 0.601810i | \(-0.205554\pi\) |
−0.920503 | + | 0.390736i | \(0.872220\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.21626e6 | − | 1.59630e7i | 0.551189 | − | 0.954687i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 1.11082e7 | − | 9.96894e6i | 0.660071 | − | 0.592374i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 602126. | − | 1.04291e6i | 0.0355504 | − | 0.0615750i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.04103e7 | − | 1.80311e7i | −0.610708 | − | 1.05778i | ||||
\(782\) |