Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [294,6,Mod(67,294)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(294, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([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("294.67");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 294 = 2 \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 294.e (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: | \(47.1528430250\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 294.79 |
Dual form | 294.6.e.j.67.1 |
$q$-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 \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(199\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.00000 | − | 3.46410i | 0.353553 | − | 0.612372i | ||||
\(3\) | −4.50000 | − | 7.79423i | −0.288675 | − | 0.500000i | ||||
\(4\) | −8.00000 | − | 13.8564i | −0.250000 | − | 0.433013i | ||||
\(5\) | −13.0000 | + | 22.5167i | −0.232551 | + | 0.402790i | −0.958558 | − | 0.284897i | \(-0.908041\pi\) |
0.726007 | + | 0.687687i | \(0.241374\pi\) | |||||||
\(6\) | −36.0000 | −0.408248 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −64.0000 | −0.353553 | ||||||||
\(9\) | −40.5000 | + | 70.1481i | −0.166667 | + | 0.288675i | ||||
\(10\) | 52.0000 | + | 90.0666i | 0.164438 | + | 0.284816i | ||||
\(11\) | 179.000 | + | 310.037i | 0.446037 | + | 0.772560i | 0.998124 | − | 0.0612274i | \(-0.0195015\pi\) |
−0.552086 | + | 0.833787i | \(0.686168\pi\) | |||||||
\(12\) | −72.0000 | + | 124.708i | −0.144338 | + | 0.250000i | ||||
\(13\) | 332.000 | 0.544853 | 0.272427 | − | 0.962177i | \(-0.412174\pi\) | ||||
0.272427 | + | 0.962177i | \(0.412174\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 234.000 | 0.268527 | ||||||||
\(16\) | −128.000 | + | 221.703i | −0.125000 | + | 0.216506i | ||||
\(17\) | −63.0000 | − | 109.119i | −0.0528711 | − | 0.0915754i | 0.838379 | − | 0.545088i | \(-0.183504\pi\) |
−0.891250 | + | 0.453513i | \(0.850171\pi\) | |||||||
\(18\) | 162.000 | + | 280.592i | 0.117851 | + | 0.204124i | ||||
\(19\) | 1100.00 | − | 1905.26i | 0.699051 | − | 1.21079i | −0.269745 | − | 0.962932i | \(-0.586939\pi\) |
0.968796 | − | 0.247860i | \(-0.0797272\pi\) | |||||||
\(20\) | 416.000 | 0.232551 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1432.00 | 0.630792 | ||||||||
\(23\) | 1071.00 | − | 1855.03i | 0.422153 | − | 0.731190i | −0.573997 | − | 0.818858i | \(-0.694608\pi\) |
0.996150 | + | 0.0876671i | \(0.0279412\pi\) | |||||||
\(24\) | 288.000 | + | 498.831i | 0.102062 | + | 0.176777i | ||||
\(25\) | 1224.50 | + | 2120.90i | 0.391840 | + | 0.678687i | ||||
\(26\) | 664.000 | − | 1150.08i | 0.192635 | − | 0.333653i | ||||
\(27\) | 729.000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3610.00 | −0.797099 | −0.398549 | − | 0.917147i | \(-0.630486\pi\) | ||||
−0.398549 | + | 0.917147i | \(0.630486\pi\) | |||||||
\(30\) | 468.000 | − | 810.600i | 0.0949386 | − | 0.164438i | ||||
\(31\) | −2834.00 | − | 4908.63i | −0.529658 | − | 0.917395i | −0.999402 | − | 0.0345917i | \(-0.988987\pi\) |
0.469743 | − | 0.882803i | \(-0.344346\pi\) | |||||||
\(32\) | 512.000 | + | 886.810i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 1611.00 | − | 2790.33i | 0.257520 | − | 0.446037i | ||||
\(34\) | −504.000 | −0.0747710 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1296.00 | 0.166667 | ||||||||
\(37\) | 1461.00 | − | 2530.53i | 0.175447 | − | 0.303883i | −0.764869 | − | 0.644186i | \(-0.777196\pi\) |
0.940316 | + | 0.340303i | \(0.110530\pi\) | |||||||
\(38\) | −4400.00 | − | 7621.02i | −0.494303 | − | 0.856159i | ||||
\(39\) | −1494.00 | − | 2587.68i | −0.157286 | − | 0.272427i | ||||
\(40\) | 832.000 | − | 1441.07i | 0.0822192 | − | 0.142408i | ||||
\(41\) | −2142.00 | −0.199003 | −0.0995015 | − | 0.995037i | \(-0.531725\pi\) | ||||
−0.0995015 | + | 0.995037i | \(0.531725\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6388.00 | 0.526858 | 0.263429 | − | 0.964679i | \(-0.415146\pi\) | ||||
0.263429 | + | 0.964679i | \(0.415146\pi\) | |||||||
\(44\) | 2864.00 | − | 4960.59i | 0.223019 | − | 0.386280i | ||||
\(45\) | −1053.00 | − | 1823.85i | −0.0775170 | − | 0.134263i | ||||
\(46\) | −4284.00 | − | 7420.11i | −0.298507 | − | 0.517030i | ||||
\(47\) | 3260.00 | − | 5646.49i | 0.215265 | − | 0.372850i | −0.738090 | − | 0.674703i | \(-0.764272\pi\) |
0.953354 | + | 0.301853i | \(0.0976052\pi\) | |||||||
\(48\) | 2304.00 | 0.144338 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 9796.00 | 0.554145 | ||||||||
\(51\) | −567.000 | + | 982.073i | −0.0305251 | + | 0.0528711i | ||||
\(52\) | −2656.00 | − | 4600.33i | −0.136213 | − | 0.235928i | ||||
\(53\) | 5351.00 | + | 9268.20i | 0.261665 | + | 0.453217i | 0.966684 | − | 0.255971i | \(-0.0823952\pi\) |
−0.705020 | + | 0.709188i | \(0.749062\pi\) | |||||||
\(54\) | 1458.00 | − | 2525.33i | 0.0680414 | − | 0.117851i | ||||
\(55\) | −9308.00 | −0.414906 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −19800.0 | −0.807194 | ||||||||
\(58\) | −7220.00 | + | 12505.4i | −0.281817 | + | 0.488121i | ||||
\(59\) | −21262.0 | − | 36826.9i | −0.795196 | − | 1.37732i | −0.922715 | − | 0.385483i | \(-0.874035\pi\) |
0.127519 | − | 0.991836i | \(-0.459299\pi\) | |||||||
\(60\) | −1872.00 | − | 3242.40i | −0.0671317 | − | 0.116276i | ||||
\(61\) | 22420.0 | − | 38832.6i | 0.771456 | − | 1.33620i | −0.165309 | − | 0.986242i | \(-0.552862\pi\) |
0.936765 | − | 0.349959i | \(-0.113804\pi\) | |||||||
\(62\) | −22672.0 | −0.749050 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4096.00 | 0.125000 | ||||||||
\(65\) | −4316.00 | + | 7475.53i | −0.126706 | + | 0.219462i | ||||
\(66\) | −6444.00 | − | 11161.3i | −0.182094 | − | 0.315396i | ||||
\(67\) | 724.000 | + | 1254.00i | 0.0197039 | + | 0.0341281i | 0.875709 | − | 0.482839i | \(-0.160394\pi\) |
−0.856005 | + | 0.516967i | \(0.827061\pi\) | |||||||
\(68\) | −1008.00 | + | 1745.91i | −0.0264355 | + | 0.0457877i | ||||
\(69\) | −19278.0 | −0.487460 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4402.00 | −0.103634 | −0.0518172 | − | 0.998657i | \(-0.516501\pi\) | ||||
−0.0518172 | + | 0.998657i | \(0.516501\pi\) | |||||||
\(72\) | 2592.00 | − | 4489.48i | 0.0589256 | − | 0.102062i | ||||
\(73\) | −10250.0 | − | 17753.5i | −0.225121 | − | 0.389922i | 0.731234 | − | 0.682126i | \(-0.238945\pi\) |
−0.956356 | + | 0.292205i | \(0.905611\pi\) | |||||||
\(74\) | −5844.00 | − | 10122.1i | −0.124060 | − | 0.214878i | ||||
\(75\) | 11020.5 | − | 19088.1i | 0.226229 | − | 0.391840i | ||||
\(76\) | −35200.0 | −0.699051 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −11952.0 | −0.222435 | ||||||||
\(79\) | −32618.0 | + | 56496.0i | −0.588017 | + | 1.01847i | 0.406475 | + | 0.913662i | \(0.366758\pi\) |
−0.994492 | + | 0.104813i | \(0.966576\pi\) | |||||||
\(80\) | −3328.00 | − | 5764.27i | −0.0581378 | − | 0.100698i | ||||
\(81\) | −3280.50 | − | 5681.99i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −4284.00 | + | 7420.11i | −0.0703582 | + | 0.121864i | ||||
\(83\) | −102804. | −1.63800 | −0.819002 | − | 0.573791i | \(-0.805472\pi\) | ||||
−0.819002 | + | 0.573791i | \(0.805472\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3276.00 | 0.0491809 | ||||||||
\(86\) | 12776.0 | − | 22128.7i | 0.186273 | − | 0.322633i | ||||
\(87\) | 16245.0 | + | 28137.2i | 0.230103 | + | 0.398549i | ||||
\(88\) | −11456.0 | − | 19842.4i | −0.157698 | − | 0.273141i | ||||
\(89\) | 64003.0 | − | 110856.i | 0.856496 | − | 1.48349i | −0.0187543 | − | 0.999824i | \(-0.505970\pi\) |
0.875250 | − | 0.483670i | \(-0.160697\pi\) | |||||||
\(90\) | −8424.00 | −0.109626 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −34272.0 | −0.422153 | ||||||||
\(93\) | −25506.0 | + | 44177.7i | −0.305798 | + | 0.529658i | ||||
\(94\) | −13040.0 | − | 22585.9i | −0.152215 | − | 0.263644i | ||||
\(95\) | 28600.0 | + | 49536.7i | 0.325130 | + | 0.563142i | ||||
\(96\) | 4608.00 | − | 7981.29i | 0.0510310 | − | 0.0883883i | ||||
\(97\) | −113324. | −1.22290 | −0.611452 | − | 0.791281i | \(-0.709414\pi\) | ||||
−0.611452 | + | 0.791281i | \(0.709414\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −28998.0 | −0.297358 | ||||||||
\(100\) | 19592.0 | − | 33934.3i | 0.195920 | − | 0.339343i | ||||
\(101\) | 69857.0 | + | 120996.i | 0.681407 | + | 1.18023i | 0.974552 | + | 0.224163i | \(0.0719649\pi\) |
−0.293145 | + | 0.956068i | \(0.594702\pi\) | |||||||
\(102\) | 2268.00 | + | 3928.29i | 0.0215845 | + | 0.0373855i | ||||
\(103\) | 71090.0 | − | 123131.i | 0.660261 | − | 1.14361i | −0.320286 | − | 0.947321i | \(-0.603779\pi\) |
0.980547 | − | 0.196284i | \(-0.0628875\pi\) | |||||||
\(104\) | −21248.0 | −0.192635 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 42808.0 | 0.370050 | ||||||||
\(107\) | 99259.0 | − | 171922.i | 0.838128 | − | 1.45168i | −0.0533296 | − | 0.998577i | \(-0.516983\pi\) |
0.891458 | − | 0.453104i | \(-0.149683\pi\) | |||||||
\(108\) | −5832.00 | − | 10101.3i | −0.0481125 | − | 0.0833333i | ||||
\(109\) | −66269.0 | − | 114781.i | −0.534250 | − | 0.925347i | −0.999199 | − | 0.0400103i | \(-0.987261\pi\) |
0.464950 | − | 0.885337i | \(-0.346072\pi\) | |||||||
\(110\) | −18616.0 | + | 32243.9i | −0.146691 | + | 0.254077i | ||||
\(111\) | −26298.0 | −0.202589 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 47026.0 | 0.346451 | 0.173226 | − | 0.984882i | \(-0.444581\pi\) | ||||
0.173226 | + | 0.984882i | \(0.444581\pi\) | |||||||
\(114\) | −39600.0 | + | 68589.2i | −0.285386 | + | 0.494303i | ||||
\(115\) | 27846.0 | + | 48230.7i | 0.196344 | + | 0.340078i | ||||
\(116\) | 28880.0 | + | 50021.6i | 0.199275 | + | 0.345154i | ||||
\(117\) | −13446.0 | + | 23289.2i | −0.0908089 | + | 0.157286i | ||||
\(118\) | −170096. | −1.12458 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −14976.0 | −0.0949386 | ||||||||
\(121\) | 16443.5 | − | 28481.0i | 0.102101 | − | 0.176844i | ||||
\(122\) | −89680.0 | − | 155330.i | −0.545502 | − | 0.944836i | ||||
\(123\) | 9639.00 | + | 16695.2i | 0.0574472 | + | 0.0995015i | ||||
\(124\) | −45344.0 | + | 78538.1i | −0.264829 | + | 0.458697i | ||||
\(125\) | −144924. | −0.829593 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 165548. | 0.910782 | 0.455391 | − | 0.890291i | \(-0.349499\pi\) | ||||
0.455391 | + | 0.890291i | \(0.349499\pi\) | |||||||
\(128\) | 8192.00 | − | 14189.0i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | −28746.0 | − | 49789.5i | −0.152091 | − | 0.263429i | ||||
\(130\) | 17264.0 | + | 29902.1i | 0.0895948 | + | 0.155183i | ||||
\(131\) | 69654.0 | − | 120644.i | 0.354624 | − | 0.614226i | −0.632430 | − | 0.774618i | \(-0.717942\pi\) |
0.987053 | + | 0.160391i | \(0.0512756\pi\) | |||||||
\(132\) | −51552.0 | −0.257520 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 5792.00 | 0.0278655 | ||||||||
\(135\) | −9477.00 | + | 16414.6i | −0.0447545 | + | 0.0775170i | ||||
\(136\) | 4032.00 | + | 6983.63i | 0.0186928 | + | 0.0323768i | ||||
\(137\) | 166421. | + | 288250.i | 0.757542 | + | 1.31210i | 0.944101 | + | 0.329657i | \(0.106933\pi\) |
−0.186559 | + | 0.982444i | \(0.559733\pi\) | |||||||
\(138\) | −38556.0 | + | 66781.0i | −0.172343 | + | 0.298507i | ||||
\(139\) | 8556.00 | 0.0375607 | 0.0187804 | − | 0.999824i | \(-0.494022\pi\) | ||||
0.0187804 | + | 0.999824i | \(0.494022\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −58680.0 | −0.248566 | ||||||||
\(142\) | −8804.00 | + | 15249.0i | −0.0366403 | + | 0.0634629i | ||||
\(143\) | 59428.0 | + | 102932.i | 0.243025 | + | 0.420932i | ||||
\(144\) | −10368.0 | − | 17957.9i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | 46930.0 | − | 81285.1i | 0.185366 | − | 0.321064i | ||||
\(146\) | −82000.0 | −0.318370 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −46752.0 | −0.175447 | ||||||||
\(149\) | −34777.0 | + | 60235.5i | −0.128329 | + | 0.222273i | −0.923029 | − | 0.384729i | \(-0.874295\pi\) |
0.794700 | + | 0.607002i | \(0.207628\pi\) | |||||||
\(150\) | −44082.0 | − | 76352.3i | −0.159968 | − | 0.277073i | ||||
\(151\) | −264620. | − | 458335.i | −0.944453 | − | 1.63584i | −0.756843 | − | 0.653597i | \(-0.773259\pi\) |
−0.187610 | − | 0.982244i | \(-0.560074\pi\) | |||||||
\(152\) | −70400.0 | + | 121936.i | −0.247152 | + | 0.428079i | ||||
\(153\) | 10206.0 | 0.0352474 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 147368. | 0.492690 | ||||||||
\(156\) | −23904.0 | + | 41402.9i | −0.0786428 | + | 0.136213i | ||||
\(157\) | −6520.00 | − | 11293.0i | −0.0211105 | − | 0.0365645i | 0.855277 | − | 0.518171i | \(-0.173387\pi\) |
−0.876388 | + | 0.481606i | \(0.840054\pi\) | |||||||
\(158\) | 130472. | + | 225984.i | 0.415791 | + | 0.720170i | ||||
\(159\) | 48159.0 | − | 83413.8i | 0.151072 | − | 0.261665i | ||||
\(160\) | −26624.0 | −0.0822192 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −26244.0 | −0.0785674 | ||||||||
\(163\) | 175620. | − | 304183.i | 0.517732 | − | 0.896738i | −0.482056 | − | 0.876140i | \(-0.660110\pi\) |
0.999788 | − | 0.0205976i | \(-0.00655687\pi\) | |||||||
\(164\) | 17136.0 | + | 29680.4i | 0.0497508 | + | 0.0861709i | ||||
\(165\) | 41886.0 | + | 72548.7i | 0.119773 | + | 0.207453i | ||||
\(166\) | −205608. | + | 356124.i | −0.579122 | + | 1.00307i | ||||
\(167\) | 626128. | 1.73729 | 0.868644 | − | 0.495436i | \(-0.164992\pi\) | ||||
0.868644 | + | 0.495436i | \(0.164992\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −261069. | −0.703135 | ||||||||
\(170\) | 6552.00 | − | 11348.4i | 0.0173881 | − | 0.0301170i | ||||
\(171\) | 89100.0 | + | 154326.i | 0.233017 | + | 0.403597i | ||||
\(172\) | −51104.0 | − | 88514.7i | −0.131715 | − | 0.228136i | ||||
\(173\) | 92413.0 | − | 160064.i | 0.234757 | − | 0.406610i | −0.724445 | − | 0.689332i | \(-0.757904\pi\) |
0.959202 | + | 0.282722i | \(0.0912374\pi\) | |||||||
\(174\) | 129960. | 0.325414 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −91648.0 | −0.223019 | ||||||||
\(177\) | −191358. | + | 331442.i | −0.459107 | + | 0.795196i | ||||
\(178\) | −256012. | − | 443426.i | −0.605634 | − | 1.04899i | ||||
\(179\) | 178761. | + | 309623.i | 0.417004 | + | 0.722272i | 0.995637 | − | 0.0933163i | \(-0.0297468\pi\) |
−0.578633 | + | 0.815588i | \(0.696413\pi\) | |||||||
\(180\) | −16848.0 | + | 29181.6i | −0.0387585 | + | 0.0671317i | ||||
\(181\) | 696508. | 1.58026 | 0.790132 | − | 0.612937i | \(-0.210012\pi\) | ||||
0.790132 | + | 0.612937i | \(0.210012\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −403560. | −0.890800 | ||||||||
\(184\) | −68544.0 | + | 118722.i | −0.149254 | + | 0.258515i | ||||
\(185\) | 37986.0 | + | 65793.7i | 0.0816008 | + | 0.141337i | ||||
\(186\) | 102024. | + | 176711.i | 0.216232 | + | 0.374525i | ||||
\(187\) | 22554.0 | − | 39064.7i | 0.0471650 | − | 0.0816921i | ||||
\(188\) | −104320. | −0.215265 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 228800. | 0.459803 | ||||||||
\(191\) | −34335.0 | + | 59470.0i | −0.0681010 | + | 0.117954i | −0.898065 | − | 0.439862i | \(-0.855027\pi\) |
0.829964 | + | 0.557816i | \(0.188361\pi\) | |||||||
\(192\) | −18432.0 | − | 31925.2i | −0.0360844 | − | 0.0625000i | ||||
\(193\) | −413611. | − | 716395.i | −0.799280 | − | 1.38439i | −0.920086 | − | 0.391717i | \(-0.871881\pi\) |
0.120806 | − | 0.992676i | \(-0.461452\pi\) | |||||||
\(194\) | −226648. | + | 392566.i | −0.432362 | + | 0.748873i | ||||
\(195\) | 77688.0 | 0.146308 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −143382. | −0.263226 | −0.131613 | − | 0.991301i | \(-0.542016\pi\) | ||||
−0.131613 | + | 0.991301i | \(0.542016\pi\) | |||||||
\(198\) | −57996.0 | + | 100452.i | −0.105132 | + | 0.182094i | ||||
\(199\) | 271300. | + | 469905.i | 0.485643 | + | 0.841158i | 0.999864 | − | 0.0164995i | \(-0.00525219\pi\) |
−0.514221 | + | 0.857658i | \(0.671919\pi\) | |||||||
\(200\) | −78368.0 | − | 135737.i | −0.138536 | − | 0.239952i | ||||
\(201\) | 6516.00 | − | 11286.0i | 0.0113760 | − | 0.0197039i | ||||
\(202\) | 558856. | 0.963655 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 18144.0 | 0.0305251 | ||||||||
\(205\) | 27846.0 | − | 48230.7i | 0.0462784 | − | 0.0801565i | ||||
\(206\) | −284360. | − | 492526.i | −0.466875 | − | 0.808651i | ||||
\(207\) | 86751.0 | + | 150257.i | 0.140718 | + | 0.243730i | ||||
\(208\) | −42496.0 | + | 73605.2i | −0.0681067 | + | 0.117964i | ||||
\(209\) | 787600. | 1.24721 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.12776e6 | 1.74385 | 0.871925 | − | 0.489640i | \(-0.162872\pi\) | ||||
0.871925 | + | 0.489640i | \(0.162872\pi\) | |||||||
\(212\) | 85616.0 | − | 148291.i | 0.130832 | − | 0.226608i | ||||
\(213\) | 19809.0 | + | 34310.2i | 0.0299167 | + | 0.0518172i | ||||
\(214\) | −397036. | − | 687687.i | −0.592646 | − | 1.02649i | ||||
\(215\) | −83044.0 | + | 143836.i | −0.122521 | + | 0.212213i | ||||
\(216\) | −46656.0 | −0.0680414 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −530152. | −0.755543 | ||||||||
\(219\) | −92250.0 | + | 159782.i | −0.129974 | + | 0.225121i | ||||
\(220\) | 74464.0 | + | 128975.i | 0.103726 | + | 0.179660i | ||||
\(221\) | −20916.0 | − | 36227.6i | −0.0288070 | − | 0.0498952i | ||||
\(222\) | −52596.0 | + | 91098.9i | −0.0716259 | + | 0.124060i | ||||
\(223\) | 897976. | 1.20921 | 0.604606 | − | 0.796525i | \(-0.293331\pi\) | ||||
0.604606 | + | 0.796525i | \(0.293331\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −198369. | −0.261227 | ||||||||
\(226\) | 94052.0 | − | 162903.i | 0.122489 | − | 0.212157i | ||||
\(227\) | 233806. | + | 404964.i | 0.301156 | + | 0.521617i | 0.976398 | − | 0.215979i | \(-0.0692943\pi\) |
−0.675242 | + | 0.737596i | \(0.735961\pi\) | |||||||
\(228\) | 158400. | + | 274357.i | 0.201799 | + | 0.349525i | ||||
\(229\) | 223070. | − | 386369.i | 0.281095 | − | 0.486870i | −0.690560 | − | 0.723275i | \(-0.742636\pi\) |
0.971655 | + | 0.236405i | \(0.0759692\pi\) | |||||||
\(230\) | 222768. | 0.277673 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 231040. | 0.281817 | ||||||||
\(233\) | −350743. | + | 607505.i | −0.423252 | + | 0.733094i | −0.996255 | − | 0.0864588i | \(-0.972445\pi\) |
0.573003 | + | 0.819553i | \(0.305778\pi\) | |||||||
\(234\) | 53784.0 | + | 93156.6i | 0.0642116 | + | 0.111218i | ||||
\(235\) | 84760.0 | + | 146809.i | 0.100120 | + | 0.173413i | ||||
\(236\) | −340192. | + | 589230.i | −0.397598 | + | 0.688660i | ||||
\(237\) | 587124. | 0.678983 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −384198. | −0.435071 | −0.217536 | − | 0.976052i | \(-0.569802\pi\) | ||||
−0.217536 | + | 0.976052i | \(0.569802\pi\) | |||||||
\(240\) | −29952.0 | + | 51878.4i | −0.0335659 | + | 0.0581378i | ||||
\(241\) | 476890. | + | 825998.i | 0.528902 | + | 0.916086i | 0.999432 | + | 0.0337017i | \(0.0107296\pi\) |
−0.470529 | + | 0.882384i | \(0.655937\pi\) | |||||||
\(242\) | −65774.0 | − | 113924.i | −0.0721964 | − | 0.125048i | ||||
\(243\) | −29524.5 | + | 51137.9i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −717440. | −0.771456 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 77112.0 | 0.0812427 | ||||||||
\(247\) | 365200. | − | 632545.i | 0.380880 | − | 0.659704i | ||||
\(248\) | 181376. | + | 314152.i | 0.187262 | + | 0.324348i | ||||
\(249\) | 462618. | + | 801278.i | 0.472851 | + | 0.819002i | ||||
\(250\) | −289848. | + | 502031.i | −0.293306 | + | 0.508020i | ||||
\(251\) | 569540. | 0.570611 | 0.285305 | − | 0.958437i | \(-0.407905\pi\) | ||||
0.285305 | + | 0.958437i | \(0.407905\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 766836. | 0.753184 | ||||||||
\(254\) | 331096. | − | 573475.i | 0.322010 | − | 0.557738i | ||||
\(255\) | −14742.0 | − | 25533.9i | −0.0141973 | − | 0.0245905i | ||||
\(256\) | −32768.0 | − | 56755.8i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −533321. | + | 923739.i | −0.503681 | + | 0.872402i | 0.496310 | + | 0.868146i | \(0.334688\pi\) |
−0.999991 | + | 0.00425609i | \(0.998645\pi\) | |||||||
\(258\) | −229968. | −0.215089 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 138112. | 0.126706 | ||||||||
\(261\) | 146205. | − | 253234.i | 0.132850 | − | 0.230103i | ||||
\(262\) | −278616. | − | 482577.i | −0.250757 | − | 0.434324i | ||||
\(263\) | 741215. | + | 1.28382e6i | 0.660777 | + | 1.14450i | 0.980412 | + | 0.196958i | \(0.0631064\pi\) |
−0.319635 | + | 0.947541i | \(0.603560\pi\) | |||||||
\(264\) | −103104. | + | 178581.i | −0.0910470 | + | 0.157698i | ||||
\(265\) | −278252. | −0.243402 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.15205e6 | −0.988996 | ||||||||
\(268\) | 11584.0 | − | 20064.1i | 0.00985194 | − | 0.0170641i | ||||
\(269\) | 107555. | + | 186291.i | 0.0906254 | + | 0.156968i | 0.907774 | − | 0.419459i | \(-0.137780\pi\) |
−0.817149 | + | 0.576426i | \(0.804447\pi\) | |||||||
\(270\) | 37908.0 | + | 65658.6i | 0.0316462 | + | 0.0548128i | ||||
\(271\) | −965518. | + | 1.67233e6i | −0.798614 | + | 1.38324i | 0.121904 | + | 0.992542i | \(0.461100\pi\) |
−0.920519 | + | 0.390699i | \(0.872233\pi\) | |||||||
\(272\) | 32256.0 | 0.0264355 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.33137e6 | 1.07133 | ||||||||
\(275\) | −438371. | + | 759281.i | −0.349551 | + | 0.605439i | ||||
\(276\) | 154224. | + | 267124.i | 0.121865 | + | 0.211077i | ||||
\(277\) | −1.01878e6 | − | 1.76458e6i | −0.797777 | − | 1.38179i | −0.921061 | − | 0.389419i | \(-0.872676\pi\) |
0.123284 | − | 0.992371i | \(-0.460657\pi\) | |||||||
\(278\) | 17112.0 | − | 29638.9i | 0.0132797 | − | 0.0230011i | ||||
\(279\) | 459108. | 0.353105 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −639066. | −0.482814 | −0.241407 | − | 0.970424i | \(-0.577609\pi\) | ||||
−0.241407 | + | 0.970424i | \(0.577609\pi\) | |||||||
\(282\) | −117360. | + | 203273.i | −0.0878815 | + | 0.152215i | ||||
\(283\) | −18872.0 | − | 32687.3i | −0.0140072 | − | 0.0242612i | 0.858937 | − | 0.512082i | \(-0.171125\pi\) |
−0.872944 | + | 0.487820i | \(0.837792\pi\) | |||||||
\(284\) | 35216.0 | + | 60995.9i | 0.0259086 | + | 0.0448750i | ||||
\(285\) | 257400. | − | 445830.i | 0.187714 | − | 0.325130i | ||||
\(286\) | 475424. | 0.343689 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −82944.0 | −0.0589256 | ||||||||
\(289\) | 701990. | − | 1.21588e6i | 0.494409 | − | 0.856342i | ||||
\(290\) | −187720. | − | 325141.i | −0.131074 | − | 0.227026i | ||||
\(291\) | 509958. | + | 883273.i | 0.353022 | + | 0.611452i | ||||
\(292\) | −164000. | + | 284056.i | −0.112561 | + | 0.194961i | ||||
\(293\) | −1.83921e6 | −1.25159 | −0.625795 | − | 0.779987i | \(-0.715225\pi\) | ||||
−0.625795 | + | 0.779987i | \(0.715225\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.10562e6 | 0.739695 | ||||||||
\(296\) | −93504.0 | + | 161954.i | −0.0620299 | + | 0.107439i | ||||
\(297\) | 130491. | + | 226017.i | 0.0858399 | + | 0.148679i | ||||
\(298\) | 139108. | + | 240942.i | 0.0907426 | + | 0.157171i | ||||
\(299\) | 355572. | − | 615869.i | 0.230012 | − | 0.398392i | ||||
\(300\) | −352656. | −0.226229 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −2.11696e6 | −1.33566 | ||||||||
\(303\) | 628713. | − | 1.08896e6i | 0.393410 | − | 0.681407i | ||||
\(304\) | 281600. | + | 487746.i | 0.174763 | + | 0.302698i | ||||
\(305\) | 582920. | + | 1.00965e6i | 0.358806 | + | 0.621470i | ||||
\(306\) | 20412.0 | − | 35354.6i | 0.0124618 | − | 0.0215845i | ||||
\(307\) | −1.06472e6 | −0.644747 | −0.322374 | − | 0.946613i | \(-0.604481\pi\) | ||||
−0.322374 | + | 0.946613i | \(0.604481\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.27962e6 | −0.762403 | ||||||||
\(310\) | 294736. | − | 510498.i | 0.174192 | − | 0.301710i | ||||
\(311\) | 504760. | + | 874270.i | 0.295927 | + | 0.512560i | 0.975200 | − | 0.221325i | \(-0.0710383\pi\) |
−0.679273 | + | 0.733885i | \(0.737705\pi\) | |||||||
\(312\) | 95616.0 | + | 165612.i | 0.0556089 | + | 0.0963174i | ||||
\(313\) | 724548. | − | 1.25495e6i | 0.418029 | − | 0.724047i | −0.577712 | − | 0.816241i | \(-0.696054\pi\) |
0.995741 | + | 0.0921932i | \(0.0293877\pi\) | |||||||
\(314\) | −52160.0 | −0.0298548 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.04378e6 | 0.588017 | ||||||||
\(317\) | −1.36155e6 | + | 2.35828e6i | −0.761003 | + | 1.31810i | 0.181331 | + | 0.983422i | \(0.441959\pi\) |
−0.942334 | + | 0.334674i | \(0.891374\pi\) | |||||||
\(318\) | −192636. | − | 333655.i | −0.106824 | − | 0.185025i | ||||
\(319\) | −646190. | − | 1.11923e6i | −0.355536 | − | 0.615806i | ||||
\(320\) | −53248.0 | + | 92228.2i | −0.0290689 | + | 0.0503488i | ||||
\(321\) | −1.78666e6 | −0.967787 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −277200. | −0.147838 | ||||||||
\(324\) | −52488.0 | + | 90911.9i | −0.0277778 | + | 0.0481125i | ||||
\(325\) | 406534. | + | 704138.i | 0.213495 | + | 0.369785i | ||||
\(326\) | −702480. | − | 1.21673e6i | −0.366092 | − | 0.634090i | ||||
\(327\) | −596421. | + | 1.03303e6i | −0.308449 | + | 0.534250i | ||||
\(328\) | 137088. | 0.0703582 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 335088. | 0.169385 | ||||||||
\(331\) | 550202. | − | 952978.i | 0.276027 | − | 0.478093i | −0.694366 | − | 0.719622i | \(-0.744315\pi\) |
0.970394 | + | 0.241528i | \(0.0776486\pi\) | |||||||
\(332\) | 822432. | + | 1.42449e6i | 0.409501 | + | 0.709276i | ||||
\(333\) | 118341. | + | 204973.i | 0.0584823 | + | 0.101294i | ||||
\(334\) | 1.25226e6 | − | 2.16897e6i | 0.614224 | − | 1.06387i | ||||
\(335\) | −37648.0 | −0.0183286 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.73512e6 | 0.832251 | 0.416125 | − | 0.909307i | \(-0.363388\pi\) | ||||
0.416125 | + | 0.909307i | \(0.363388\pi\) | |||||||
\(338\) | −522138. | + | 904370.i | −0.248596 | + | 0.430580i | ||||
\(339\) | −211617. | − | 366531.i | −0.100012 | − | 0.173226i | ||||
\(340\) | −26208.0 | − | 45393.6i | −0.0122952 | − | 0.0212960i | ||||
\(341\) | 1.01457e6 | − | 1.75729e6i | 0.472495 | − | 0.818385i | ||||
\(342\) | 712800. | 0.329536 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −408832. | −0.186273 | ||||||||
\(345\) | 250614. | − | 434076.i | 0.113359 | − | 0.196344i | ||||
\(346\) | −369652. | − | 640256.i | −0.165998 | − | 0.287517i | ||||
\(347\) | −795723. | − | 1.37823e6i | −0.354763 | − | 0.614467i | 0.632314 | − | 0.774712i | \(-0.282105\pi\) |
−0.987077 | + | 0.160244i | \(0.948772\pi\) | |||||||
\(348\) | 259920. | − | 450195.i | 0.115051 | − | 0.199275i | ||||
\(349\) | −2.33376e6 | −1.02563 | −0.512817 | − | 0.858498i | \(-0.671398\pi\) | ||||
−0.512817 | + | 0.858498i | \(0.671398\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 242028. | 0.104857 | ||||||||
\(352\) | −183296. | + | 317478.i | −0.0788490 | + | 0.136571i | ||||
\(353\) | −1.40541e6 | − | 2.43424e6i | −0.600296 | − | 1.03974i | −0.992776 | − | 0.119982i | \(-0.961716\pi\) |
0.392480 | − | 0.919760i | \(-0.371617\pi\) | |||||||
\(354\) | 765432. | + | 1.32577e6i | 0.324637 | + | 0.562288i | ||||
\(355\) | 57226.0 | − | 99118.3i | 0.0241003 | − | 0.0417429i | ||||
\(356\) | −2.04810e6 | −0.856496 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.43009e6 | 0.589733 | ||||||||
\(359\) | −469655. | + | 813466.i | −0.192328 | + | 0.333122i | −0.946021 | − | 0.324104i | \(-0.894937\pi\) |
0.753693 | + | 0.657226i | \(0.228270\pi\) | |||||||
\(360\) | 67392.0 | + | 116726.i | 0.0274064 | + | 0.0474693i | ||||
\(361\) | −1.18195e6 | − | 2.04720e6i | −0.477344 | − | 0.826784i | ||||
\(362\) | 1.39302e6 | − | 2.41277e6i | 0.558708 | − | 0.967710i | ||||
\(363\) | −295983. | −0.117896 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 533000. | 0.209409 | ||||||||
\(366\) | −807120. | + | 1.39797e6i | −0.314945 | + | 0.545502i | ||||
\(367\) | −1.54926e6 | − | 2.68339e6i | −0.600424 | − | 1.03996i | −0.992757 | − | 0.120141i | \(-0.961665\pi\) |
0.392333 | − | 0.919823i | \(-0.371668\pi\) | |||||||
\(368\) | 274176. | + | 474887.i | 0.105538 | + | 0.182798i | ||||
\(369\) | 86751.0 | − | 150257.i | 0.0331672 | − | 0.0574472i | ||||
\(370\) | 303888. | 0.115401 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 816192. | 0.305798 | ||||||||
\(373\) | 114133. | − | 197684.i | 0.0424756 | − | 0.0735698i | −0.844006 | − | 0.536334i | \(-0.819809\pi\) |
0.886482 | + | 0.462764i | \(0.153142\pi\) | |||||||
\(374\) | −90216.0 | − | 156259.i | −0.0333507 | − | 0.0577651i | ||||
\(375\) | 652158. | + | 1.12957e6i | 0.239483 | + | 0.414797i | ||||
\(376\) | −208640. | + | 361375.i | −0.0761076 | + | 0.131822i | ||||
\(377\) | −1.19852e6 | −0.434302 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.03669e6 | −0.370725 | −0.185362 | − | 0.982670i | \(-0.559346\pi\) | ||||
−0.185362 | + | 0.982670i | \(0.559346\pi\) | |||||||
\(380\) | 457600. | − | 792586.i | 0.162565 | − | 0.281571i | ||||
\(381\) | −744966. | − | 1.29032e6i | −0.262920 | − | 0.455391i | ||||
\(382\) | 137340. | + | 237880.i | 0.0481547 | + | 0.0834064i | ||||
\(383\) | 105888. | − | 183403.i | 0.0368850 | − | 0.0638867i | −0.846994 | − | 0.531603i | \(-0.821590\pi\) |
0.883879 | + | 0.467716i | \(0.154923\pi\) | |||||||
\(384\) | −147456. | −0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3.30889e6 | −1.13035 | ||||||||
\(387\) | −258714. | + | 448106.i | −0.0878097 | + | 0.152091i | ||||
\(388\) | 906592. | + | 1.57026e6i | 0.305726 | + | 0.529533i | ||||
\(389\) | −706623. | − | 1.22391e6i | −0.236763 | − | 0.410085i | 0.723021 | − | 0.690826i | \(-0.242753\pi\) |
−0.959784 | + | 0.280741i | \(0.909420\pi\) | |||||||
\(390\) | 155376. | − | 269119.i | 0.0517276 | − | 0.0895948i | ||||
\(391\) | −269892. | −0.0892788 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.25377e6 | −0.409484 | ||||||||
\(394\) | −286764. | + | 496690.i | −0.0930645 | + | 0.161192i | ||||
\(395\) | −848068. | − | 1.46890e6i | −0.273488 | − | 0.473695i | ||||
\(396\) | 231984. | + | 401808.i | 0.0743396 | + | 0.128760i | ||||
\(397\) | 545168. | − | 944259.i | 0.173602 | − | 0.300687i | −0.766075 | − | 0.642751i | \(-0.777793\pi\) |
0.939676 | + | 0.342064i | \(0.111126\pi\) | |||||||
\(398\) | 2.17040e6 | 0.686803 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −626944. | −0.195920 | ||||||||
\(401\) | −1.32126e6 | + | 2.28849e6i | −0.410325 | + | 0.710704i | −0.994925 | − | 0.100617i | \(-0.967918\pi\) |
0.584600 | + | 0.811322i | \(0.301252\pi\) | |||||||
\(402\) | −26064.0 | − | 45144.2i | −0.00804407 | − | 0.0139327i | ||||
\(403\) | −940888. | − | 1.62967e6i | −0.288586 | − | 0.499846i | ||||
\(404\) | 1.11771e6 | − | 1.93593e6i | 0.340703 | − | 0.590116i | ||||
\(405\) | 170586. | 0.0516780 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.04608e6 | 0.313024 | ||||||||
\(408\) | 36288.0 | − | 62852.7i | 0.0107923 | − | 0.0186928i | ||||
\(409\) | −3.12713e6 | − | 5.41635e6i | −0.924354 | − | 1.60103i | −0.792597 | − | 0.609746i | \(-0.791272\pi\) |
−0.131757 | − | 0.991282i | \(-0.542062\pi\) | |||||||
\(410\) | −111384. | − | 192923.i | −0.0327238 | − | 0.0566792i | ||||
\(411\) | 1.49779e6 | − | 2.59425e6i | 0.437367 | − | 0.757542i | ||||
\(412\) | −2.27488e6 | −0.660261 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 694008. | 0.199005 | ||||||||
\(415\) | 1.33645e6 | − | 2.31480e6i | 0.380919 | − | 0.659772i | ||||
\(416\) | 169984. | + | 294421.i | 0.0481587 | + | 0.0834133i | ||||
\(417\) | −38502.0 | − | 66687.4i | −0.0108428 | − | 0.0187804i | ||||
\(418\) | 1.57520e6 | − | 2.72833e6i | 0.440956 | − | 0.763758i | ||||
\(419\) | −973924. | −0.271013 | −0.135506 | − | 0.990776i | \(-0.543266\pi\) | ||||
−0.135506 | + | 0.990776i | \(0.543266\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 864618. | 0.237749 | 0.118875 | − | 0.992909i | \(-0.462071\pi\) | ||||
0.118875 | + | 0.992909i | \(0.462071\pi\) | |||||||
\(422\) | 2.25551e6 | − | 3.90666e6i | 0.616544 | − | 1.06789i | ||||
\(423\) | 264060. | + | 457365.i | 0.0717549 | + | 0.124283i | ||||
\(424\) | −342464. | − | 593165.i | −0.0925125 | − | 0.160236i | ||||
\(425\) | 154287. | − | 267233.i | 0.0414340 | − | 0.0717658i | ||||
\(426\) | 158472. | 0.0423086 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −3.17629e6 | −0.838128 | ||||||||
\(429\) | 534852. | − | 926391.i | 0.140311 | − | 0.243025i | ||||
\(430\) | 332176. | + | 575346.i | 0.0866357 | + | 0.150058i | ||||
\(431\) | 1.83023e6 | + | 3.17005e6i | 0.474583 | + | 0.822002i | 0.999576 | − | 0.0291043i | \(-0.00926551\pi\) |
−0.524993 | + | 0.851106i | \(0.675932\pi\) | |||||||
\(432\) | −93312.0 | + | 161621.i | −0.0240563 | + | 0.0416667i | ||||
\(433\) | −4.93667e6 | −1.26536 | −0.632681 | − | 0.774413i | \(-0.718045\pi\) | ||||
−0.632681 | + | 0.774413i | \(0.718045\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −844740. | −0.214042 | ||||||||
\(436\) | −1.06030e6 | + | 1.83650e6i | −0.267125 | + | 0.462674i | ||||
\(437\) | −2.35620e6 | − | 4.08106e6i | −0.590213 | − | 1.02228i | ||||
\(438\) | 369000. | + | 639127.i | 0.0919054 | + | 0.159185i | ||||
\(439\) | −365652. | + | 633328.i | −0.0905538 | + | 0.156844i | −0.907744 | − | 0.419524i | \(-0.862197\pi\) |
0.817190 | + | 0.576368i | \(0.195530\pi\) | |||||||
\(440\) | 595712. | 0.146691 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −167328. | −0.0407392 | ||||||||
\(443\) | −2.43310e6 | + | 4.21425e6i | −0.589048 | + | 1.02026i | 0.405310 | + | 0.914179i | \(0.367164\pi\) |
−0.994357 | + | 0.106081i | \(0.966170\pi\) | |||||||
\(444\) | 210384. | + | 364396.i | 0.0506472 | + | 0.0877235i | ||||
\(445\) | 1.66408e6 | + | 2.88227e6i | 0.398358 | + | 0.689976i | ||||
\(446\) | 1.79595e6 | − | 3.11068e6i | 0.427521 | − | 0.740488i | ||||
\(447\) | 625986. | 0.148182 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.71987e6 | 1.33897 | 0.669484 | − | 0.742827i | \(-0.266515\pi\) | ||||
0.669484 | + | 0.742827i | \(0.266515\pi\) | |||||||
\(450\) | −396738. | + | 687170.i | −0.0923576 | + | 0.159968i | ||||
\(451\) | −383418. | − | 664099.i | −0.0887628 | − | 0.153742i | ||||
\(452\) | −376208. | − | 651611.i | −0.0866128 | − | 0.150018i | ||||
\(453\) | −2.38158e6 | + | 4.12502e6i | −0.545280 | + | 0.944453i | ||||
\(454\) | 1.87045e6 | 0.425898 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.26720e6 | 0.285386 | ||||||||
\(457\) | 3.41017e6 | − | 5.90659e6i | 0.763811 | − | 1.32296i | −0.177063 | − | 0.984200i | \(-0.556660\pi\) |
0.940873 | − | 0.338759i | \(-0.110007\pi\) | |||||||
\(458\) | −892280. | − | 1.54547e6i | −0.198764 | − | 0.344269i | ||||
\(459\) | −45927.0 | − | 79547.9i | −0.0101750 | − | 0.0176237i | ||||
\(460\) | 445536. | − | 771691.i | 0.0981721 | − | 0.170039i | ||||
\(461\) | −7.45934e6 | −1.63474 | −0.817369 | − | 0.576115i | \(-0.804568\pi\) | ||||
−0.817369 | + | 0.576115i | \(0.804568\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.23848e6 | −1.13567 | −0.567836 | − | 0.823142i | \(-0.692219\pi\) | ||||
−0.567836 | + | 0.823142i | \(0.692219\pi\) | |||||||
\(464\) | 462080. | − | 800346.i | 0.0996374 | − | 0.172577i | ||||
\(465\) | −663156. | − | 1.14862e6i | −0.142227 | − | 0.246345i | ||||
\(466\) | 1.40297e6 | + | 2.43002e6i | 0.299284 | + | 0.518376i | ||||
\(467\) | −4.47997e6 | + | 7.75954e6i | −0.950568 | + | 1.64643i | −0.206370 | + | 0.978474i | \(0.566165\pi\) |
−0.744199 | + | 0.667958i | \(0.767168\pi\) | |||||||
\(468\) | 430272. | 0.0908089 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 678080. | 0.141591 | ||||||||
\(471\) | −58680.0 | + | 101637.i | −0.0121882 | + | 0.0211105i | ||||
\(472\) | 1.36077e6 | + | 2.35692e6i | 0.281144 | + | 0.486956i | ||||
\(473\) | 1.14345e6 | + | 1.98052e6i | 0.234998 | + | 0.407029i | ||||
\(474\) | 1.17425e6 | − | 2.03386e6i | 0.240057 | − | 0.415791i | ||||
\(475\) | 5.38780e6 | 1.09566 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −866862. | −0.174443 | ||||||||
\(478\) | −768396. | + | 1.33090e6i | −0.153821 | + | 0.266426i | ||||
\(479\) | 876768. | + | 1.51861e6i | 0.174601 | + | 0.302417i | 0.940023 | − | 0.341111i | \(-0.110803\pi\) |
−0.765422 | + | 0.643528i | \(0.777470\pi\) | |||||||
\(480\) | 119808. | + | 207514.i | 0.0237346 | + | 0.0411096i | ||||
\(481\) | 485052. | − | 840135.i | 0.0955929 | − | 0.165572i | ||||
\(482\) | 3.81512e6 | 0.747981 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −526192. | −0.102101 | ||||||||
\(485\) | 1.47321e6 | − | 2.55168e6i | 0.284388 | − | 0.492574i | ||||
\(486\) | 118098. | + | 204552.i | 0.0226805 | + | 0.0392837i | ||||
\(487\) | −463784. | − | 803297.i | −0.0886122 | − | 0.153481i | 0.818313 | − | 0.574773i | \(-0.194910\pi\) |
−0.906925 | + | 0.421293i | \(0.861577\pi\) | |||||||
\(488\) | −1.43488e6 | + | 2.48529e6i | −0.272751 | + | 0.472418i | ||||
\(489\) | −3.16116e6 | −0.597825 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.43733e6 | 1.57943 | 0.789716 | − | 0.613472i | \(-0.210228\pi\) | ||||
0.789716 | + | 0.613472i | \(0.210228\pi\) | |||||||
\(492\) | 154224. | − | 267124.i | 0.0287236 | − | 0.0497508i | ||||
\(493\) | 227430. | + | 393920.i | 0.0421435 | + | 0.0729947i | ||||
\(494\) | −1.46080e6 | − | 2.53018e6i | −0.269323 | − | 0.466481i | ||||
\(495\) | 376974. | − | 652938.i | 0.0691510 | − | 0.119773i | ||||
\(496\) | 1.45101e6 | 0.264829 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 3.70094e6 | 0.668712 | ||||||||
\(499\) | −666390. | + | 1.15422e6i | −0.119806 | + | 0.207509i | −0.919691 | − | 0.392644i | \(-0.871560\pi\) |
0.799885 | + | 0.600153i | \(0.204894\pi\) | |||||||
\(500\) | 1.15939e6 | + | 2.00813e6i | 0.207398 | + | 0.359224i | ||||
\(501\) | −2.81758e6 | − | 4.88018e6i | −0.501512 | − | 0.868644i | ||||
\(502\) | 1.13908e6 | − | 1.97294e6i | 0.201741 | − | 0.349426i | ||||
\(503\) | 3.64494e6 | 0.642349 | 0.321174 | − | 0.947020i | \(-0.395922\pi\) | ||||
0.321174 | + | 0.947020i | \(0.395922\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.63256e6 | −0.633848 | ||||||||
\(506\) | 1.53367e6 | − | 2.65640e6i | 0.266291 | − | 0.461229i | ||||
\(507\) | 1.17481e6 | + | 2.03483e6i | 0.202978 | + | 0.351567i | ||||
\(508\) | −1.32438e6 | − | 2.29390e6i | −0.227696 | − | 0.394380i | ||||
\(509\) | 1.63083e6 | − | 2.82468e6i | 0.279007 | − | 0.483254i | −0.692132 | − | 0.721771i | \(-0.743328\pi\) |
0.971138 | + | 0.238518i | \(0.0766615\pi\) | |||||||
\(510\) | −117936. | −0.0200780 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −262144. | −0.0441942 | ||||||||
\(513\) | 801900. | − | 1.38893e6i | 0.134532 | − | 0.233017i | ||||
\(514\) | 2.13328e6 | + | 3.69496e6i | 0.356157 | + | 0.616881i | ||||
\(515\) | 1.84834e6 | + | 3.20142e6i | 0.307089 | + | 0.531893i | ||||
\(516\) | −459936. | + | 796633.i | −0.0760454 | + | 0.131715i | ||||
\(517\) | 2.33416e6 | 0.384065 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.66343e6 | −0.271074 | ||||||||
\(520\) | 276224. | − | 478434.i | 0.0447974 | − | 0.0775914i | ||||
\(521\) | 1.09370e6 | + | 1.89435e6i | 0.176525 | + | 0.305750i | 0.940688 | − | 0.339273i | \(-0.110181\pi\) |
−0.764163 | + | 0.645023i | \(0.776848\pi\) | |||||||
\(522\) | −584820. | − | 1.01294e6i | −0.0939390 | − | 0.162707i | ||||
\(523\) | −5.19451e6 | + | 8.99716e6i | −0.830406 | + | 1.43831i | 0.0673110 | + | 0.997732i | \(0.478558\pi\) |
−0.897717 | + | 0.440573i | \(0.854775\pi\) | |||||||
\(524\) | −2.22893e6 | −0.354624 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.92972e6 | 0.934480 | ||||||||
\(527\) | −357084. | + | 618488.i | −0.0560072 | + | 0.0970073i | ||||
\(528\) | 412416. | + | 714325.i | 0.0643800 | + | 0.111509i | ||||
\(529\) | 924090. | + | 1.60057e6i | 0.143574 | + | 0.248677i | ||||
\(530\) | −556504. | + | 963893.i | −0.0860555 | + | 0.149052i | ||||
\(531\) | 3.44444e6 | 0.530131 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −711144. | −0.108428 | ||||||||
\(534\) | −2.30411e6 | + | 3.99083e6i | −0.349663 | + | 0.605634i | ||||
\(535\) | 2.58073e6 | + | 4.46996e6i | 0.389815 | + | 0.675180i | ||||
\(536\) | −46336.0 | − | 80256.3i | −0.00696637 | − | 0.0120661i | ||||
\(537\) | 1.60885e6 | − | 2.78661e6i | 0.240757 | − | 0.417004i | ||||
\(538\) | 860440. | 0.128164 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 303264. | 0.0447545 | ||||||||
\(541\) | −6.38620e6 | + | 1.10612e7i | −0.938101 | + | 1.62484i | −0.169091 | + | 0.985600i | \(0.554083\pi\) |
−0.769009 | + | 0.639238i | \(0.779250\pi\) | |||||||
\(542\) | 3.86207e6 | + | 6.68930e6i | 0.564706 | + | 0.978099i | ||||
\(543\) | −3.13429e6 | − | 5.42874e6i | −0.456183 | − | 0.790132i | ||||
\(544\) | 64512.0 | − | 111738.i | 0.00934638 | − | 0.0161884i | ||||
\(545\) | 3.44599e6 | 0.496961 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.22238e6 | −0.746278 | −0.373139 | − | 0.927776i | \(-0.621719\pi\) | ||||
−0.373139 | + | 0.927776i | \(0.621719\pi\) | |||||||
\(548\) | 2.66274e6 | − | 4.61199e6i | 0.378771 | − | 0.656051i | ||||
\(549\) | 1.81602e6 | + | 3.14544e6i | 0.257152 | + | 0.445400i | ||||
\(550\) | 1.75348e6 | + | 3.03712e6i | 0.247170 | + | 0.428110i | ||||
\(551\) | −3.97100e6 | + | 6.87797e6i | −0.557213 | + | 0.965120i | ||||
\(552\) | 1.23379e6 | 0.172343 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −8.15025e6 | −1.12823 | ||||||||
\(555\) | 341874. | − | 592143.i | 0.0471122 | − | 0.0816008i | ||||
\(556\) | −68448.0 | − | 118555.i | −0.00939018 | − | 0.0162643i | ||||
\(557\) | 2.87024e6 | + | 4.97139e6i | 0.391994 | + | 0.678954i | 0.992712 | − | 0.120507i | \(-0.0384520\pi\) |
−0.600718 | + | 0.799461i | \(0.705119\pi\) | |||||||
\(558\) | 918216. | − | 1.59040e6i | 0.124842 | − | 0.216232i | ||||
\(559\) | 2.12082e6 | 0.287061 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −405972. | −0.0544614 | ||||||||
\(562\) | −1.27813e6 | + | 2.21379e6i | −0.170701 | + | 0.295662i | ||||
\(563\) | 1.15224e6 | + | 1.99573e6i | 0.153204 | + | 0.265358i | 0.932404 | − | 0.361418i | \(-0.117707\pi\) |
−0.779199 | + | 0.626776i | \(0.784374\pi\) | |||||||
\(564\) | 469440. | + | 813094.i | 0.0621416 | + | 0.107632i | ||||
\(565\) | −611338. | + | 1.05887e6i | −0.0805676 | + | 0.139547i | ||||
\(566\) | −150976. | −0.0198092 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 281728. | 0.0366403 | ||||||||
\(569\) | 2.56075e6 | − | 4.43535e6i | 0.331578 | − | 0.574311i | −0.651243 | − | 0.758869i | \(-0.725752\pi\) |
0.982822 | + | 0.184558i | \(0.0590855\pi\) | |||||||
\(570\) | −1.02960e6 | − | 1.78332e6i | −0.132734 | − | 0.229902i | ||||
\(571\) | 1.19318e6 | + | 2.06666e6i | 0.153150 | + | 0.265264i | 0.932384 | − | 0.361470i | \(-0.117725\pi\) |
−0.779234 | + | 0.626733i | \(0.784392\pi\) | |||||||
\(572\) | 950848. | − | 1.64692e6i | 0.121513 | − | 0.210466i | ||||
\(573\) | 618030. | 0.0786363 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 5.24576e6 | 0.661666 | ||||||||
\(576\) | −165888. | + | 287326.i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | 2.62076e6 | + | 4.53928e6i | 0.327708 | + | 0.567607i | 0.982057 | − | 0.188586i | \(-0.0603904\pi\) |
−0.654349 | + | 0.756193i | \(0.727057\pi\) | |||||||
\(578\) | −2.80796e6 | − | 4.86353e6i | −0.349600 | − | 0.605525i | ||||
\(579\) | −3.72250e6 | + | 6.44756e6i | −0.461464 | + | 0.799280i | ||||
\(580\) | −1.50176e6 | −0.185366 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 4.07966e6 | 0.499249 | ||||||||
\(583\) | −1.91566e6 | + | 3.31802e6i | −0.233425 | + | 0.404303i | ||||
\(584\) | 656000. | + | 1.13623e6i | 0.0795924 | + | 0.137858i | ||||
\(585\) | −349596. | − | 605518.i | −0.0422354 | − | 0.0731539i | ||||
\(586\) | −3.67842e6 | + | 6.37121e6i | −0.442504 | + | 0.766440i | ||||
\(587\) | 9.11548e6 | 1.09190 | 0.545952 | − | 0.837816i | \(-0.316168\pi\) | ||||
0.545952 | + | 0.837816i | \(0.316168\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.24696e7 | −1.48103 | ||||||||
\(590\) | 2.21125e6 | − | 3.82999e6i | 0.261522 | − | 0.452969i | ||||
\(591\) | 645219. | + | 1.11755e6i | 0.0759869 | + | 0.131613i | ||||
\(592\) | 374016. | + | 647815.i | 0.0438617 | + | 0.0759708i | ||||
\(593\) | −1.52522e6 | + | 2.64175e6i | −0.178112 | + | 0.308500i | −0.941234 | − | 0.337755i | \(-0.890332\pi\) |
0.763122 | + | 0.646255i | \(0.223666\pi\) | |||||||
\(594\) | 1.04393e6 | 0.121396 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.11286e6 | 0.128329 | ||||||||
\(597\) | 2.44170e6 | − | 4.22915e6i | 0.280386 | − | 0.485643i | ||||
\(598\) | −1.42229e6 | − | 2.46348e6i | −0.162643 | − | 0.281705i | ||||
\(599\) | −7.17041e6 | − | 1.24195e7i | −0.816539 | − | 1.41429i | −0.908217 | − | 0.418499i | \(-0.862556\pi\) |
0.0916783 | − | 0.995789i | \(-0.470777\pi\) | |||||||
\(600\) | −705312. | + | 1.22164e6i | −0.0799840 | + | 0.138536i | ||||
\(601\) | −3.12662e6 | −0.353092 | −0.176546 | − | 0.984292i | \(-0.556492\pi\) | ||||
−0.176546 | + | 0.984292i | \(0.556492\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −117288. | −0.0131359 | ||||||||
\(604\) | −4.23392e6 | + | 7.33336e6i | −0.472226 | + | 0.817920i | ||||
\(605\) | 427531. | + | 740505.i | 0.0474875 | + | 0.0822507i | ||||
\(606\) | −2.51485e6 | − | 4.35585e6i | −0.278183 | − | 0.481827i | ||||
\(607\) | −5.75492e6 | + | 9.96782e6i | −0.633969 | + | 1.09807i | 0.352764 | + | 0.935712i | \(0.385242\pi\) |
−0.986733 | + | 0.162354i | \(0.948091\pi\) | |||||||
\(608\) | 2.25280e6 | 0.247152 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.66336e6 | 0.507428 | ||||||||
\(611\) | 1.08232e6 | − | 1.87463e6i | 0.117288 | − | 0.203148i | ||||
\(612\) | −81648.0 | − | 141418.i | −0.00881185 | − | 0.0152626i | ||||
\(613\) | 6.08910e6 | + | 1.05466e7i | 0.654488 | + | 1.13361i | 0.982022 | + | 0.188767i | \(0.0604492\pi\) |
−0.327534 | + | 0.944840i | \(0.606217\pi\) | |||||||
\(614\) | −2.12944e6 | + | 3.68830e6i | −0.227953 | + | 0.394825i | ||||
\(615\) | −501228. | −0.0534377 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1.77629e6 | 0.187845 | 0.0939226 | − | 0.995580i | \(-0.470059\pi\) | ||||
0.0939226 | + | 0.995580i | \(0.470059\pi\) | |||||||
\(618\) | −2.55924e6 | + | 4.43273e6i | −0.269550 | + | 0.466875i | ||||
\(619\) | 2.97758e6 | + | 5.15732e6i | 0.312347 | + | 0.541001i | 0.978870 | − | 0.204484i | \(-0.0655516\pi\) |
−0.666523 | + | 0.745484i | \(0.732218\pi\) | |||||||
\(620\) | −1.17894e6 | − | 2.04199e6i | −0.123173 | − | 0.213341i | ||||
\(621\) | 780759. | − | 1.35231e6i | 0.0812434 | − | 0.140718i | ||||
\(622\) | 4.03808e6 | 0.418503 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 764928. | 0.0786428 | ||||||||
\(625\) | −1.94255e6 | + | 3.36460e6i | −0.198917 | + | 0.344535i | ||||
\(626\) | −2.89819e6 | − | 5.01982e6i | −0.295591 | − | 0.511979i | ||||
\(627\) | −3.54420e6 | − | 6.13873e6i | −0.360039 | − | 0.623606i | ||||
\(628\) | −104320. | + | 180688.i | −0.0105552 | + | 0.0182822i | ||||
\(629\) | −368172. | −0.0371043 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.45351e7 | −1.45327 | −0.726633 | − | 0.687026i | \(-0.758916\pi\) | ||||
−0.726633 | + | 0.687026i | \(0.758916\pi\) | |||||||
\(632\) | 2.08755e6 | − | 3.61575e6i | 0.207895 | − | 0.360085i | ||||
\(633\) | −5.07490e6 | − | 8.78999e6i | −0.503406 | − | 0.871925i | ||||
\(634\) | 5.44621e6 | + | 9.43312e6i | 0.538110 | + | 0.932035i | ||||
\(635\) | −2.15212e6 | + | 3.72759e6i | −0.211803 | + | 0.366854i | ||||
\(636\) | −1.54109e6 | −0.151072 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −5.16952e6 | −0.502804 | ||||||||
\(639\) | 178281. | − | 308792.i | 0.0172724 | − | 0.0299167i | ||||
\(640\) | 212992. | + | 368913.i | 0.0205548 | + | 0.0356020i | ||||
\(641\) | 5.36747e6 | + | 9.29673e6i | 0.515970 | + | 0.893686i | 0.999828 | + | 0.0185398i | \(0.00590175\pi\) |
−0.483858 | + | 0.875146i | \(0.660765\pi\) | |||||||
\(642\) | −3.57332e6 | + | 6.18918e6i | −0.342164 | + | 0.592646i | ||||
\(643\) | 1.62815e7 | 1.55298 | 0.776492 | − | 0.630127i | \(-0.216997\pi\) | ||||
0.776492 | + | 0.630127i | \(0.216997\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1.49479e6 | 0.141476 | ||||||||
\(646\) | −554400. | + | 960249.i | −0.0522687 | + | 0.0905321i | ||||
\(647\) | 3.95974e6 | + | 6.85846e6i | 0.371882 | + | 0.644119i | 0.989855 | − | 0.142080i | \(-0.0453792\pi\) |
−0.617973 | + | 0.786199i | \(0.712046\pi\) | |||||||
\(648\) | 209952. | + | 363648.i | 0.0196419 | + | 0.0340207i | ||||
\(649\) | 7.61180e6 | − | 1.31840e7i | 0.709374 | − | 1.22867i | ||||
\(650\) | 3.25227e6 | 0.301928 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −5.61984e6 | −0.517732 | ||||||||
\(653\) | −672391. | + | 1.16462e6i | −0.0617076 | + | 0.106881i | −0.895229 | − | 0.445607i | \(-0.852988\pi\) |
0.833521 | + | 0.552488i | \(0.186321\pi\) | |||||||
\(654\) | 2.38568e6 | + | 4.13213e6i | 0.218106 | + | 0.377771i | ||||
\(655\) | 1.81100e6 | + | 3.13675e6i | 0.164936 | + | 0.285678i | ||||
\(656\) | 274176. | − | 474887.i | 0.0248754 | − | 0.0430854i | ||||
\(657\) | 1.66050e6 | 0.150081 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 2.02235e7 | 1.81402 | 0.907010 | − | 0.421109i | \(-0.138359\pi\) | ||||
0.907010 | + | 0.421109i | \(0.138359\pi\) | |||||||
\(660\) | 670176. | − | 1.16078e6i | 0.0598865 | − | 0.103726i | ||||
\(661\) | −3.58901e6 | − | 6.21635e6i | −0.319500 | − | 0.553391i | 0.660884 | − | 0.750488i | \(-0.270182\pi\) |
−0.980384 | + | 0.197098i | \(0.936848\pi\) | |||||||
\(662\) | −2.20081e6 | − | 3.81191e6i | −0.195181 | − | 0.338063i | ||||
\(663\) | −188244. | + | 326048.i | −0.0166317 | + | 0.0288070i | ||||
\(664\) | 6.57946e6 | 0.579122 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 946728. | 0.0827065 | ||||||||
\(667\) | −3.86631e6 | + | 6.69665e6i | −0.336498 | + | 0.582831i | ||||
\(668\) | −5.00902e6 | − | 8.67588e6i | −0.434322 | − | 0.752268i | ||||
\(669\) | −4.04089e6 | − | 6.99903e6i | −0.349070 | − | 0.604606i | ||||
\(670\) | −75296.0 | + | 130416.i | −0.00648015 | + | 0.0112239i | ||||
\(671\) | 1.60527e7 | 1.37639 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.61217e6 | 0.818057 | 0.409029 | − | 0.912522i | \(-0.365868\pi\) | ||||
0.409029 | + | 0.912522i | \(0.365868\pi\) | |||||||
\(674\) | 3.47024e6 | − | 6.01063e6i | 0.294245 | − | 0.509647i | ||||
\(675\) | 892660. | + | 1.54613e6i | 0.0754096 | + | 0.130613i | ||||
\(676\) | 2.08855e6 | + | 3.61748e6i | 0.175784 | + | 0.304466i | ||||
\(677\) | 4.83408e6 | − | 8.37287e6i | 0.405361 | − | 0.702106i | −0.589002 | − | 0.808131i | \(-0.700479\pi\) |
0.994363 | + | 0.106025i | \(0.0338125\pi\) | |||||||
\(678\) | −1.69294e6 | −0.141438 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −209664. | −0.0173881 | ||||||||
\(681\) | 2.10425e6 | − | 3.64467e6i | 0.173872 | − | 0.301156i | ||||
\(682\) | −4.05829e6 | − | 7.02916e6i | −0.334104 | − | 0.578685i | ||||
\(683\) | −194927. | − | 337623.i | −0.0159890 | − | 0.0276937i | 0.857920 | − | 0.513783i | \(-0.171756\pi\) |
−0.873909 | + | 0.486089i | \(0.838423\pi\) | |||||||
\(684\) | 1.42560e6 | − | 2.46921e6i | 0.116508 | − | 0.201799i | ||||
\(685\) | −8.65389e6 | −0.704669 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −4.01526e6 | −0.324580 | ||||||||
\(688\) | −817664. | + | 1.41624e6i | −0.0658573 | + | 0.114068i | ||||
\(689\) | 1.77653e6 | + | 3.07704e6i | 0.142569 | + | 0.246937i | ||||
\(690\) | −1.00246e6 | − | 1.73630e6i | −0.0801572 | − | 0.138836i | ||||
\(691\) | −1.86993e6 | + | 3.23881e6i | −0.148980 | + | 0.258042i | −0.930851 | − | 0.365399i | \(-0.880932\pi\) |
0.781870 | + | 0.623441i | \(0.214266\pi\) | |||||||
\(692\) | −2.95722e6 | −0.234757 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.36578e6 | −0.501711 | ||||||||
\(695\) | −111228. | + | 192653.i | −0.00873478 | + | 0.0151291i | ||||
\(696\) | −1.03968e6 | − | 1.80078e6i | −0.0813536 | − | 0.140909i | ||||
\(697\) | 134946. | + | 233733.i | 0.0105215 | + | 0.0182238i | ||||
\(698\) | −4.66752e6 | + | 8.08438e6i | −0.362617 | + | 0.628070i | ||||
\(699\) | 6.31337e6 | 0.488730 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.49886e7 | 1.92064 | 0.960322 | − | 0.278893i | \(-0.0899674\pi\) | ||||
0.960322 | + | 0.278893i | \(0.0899674\pi\) | |||||||
\(702\) | 484056. | − | 838410.i | 0.0370726 | − | 0.0642116i | ||||
\(703\) | −3.21420e6 | − | 5.56716e6i | −0.245293 | − | 0.424859i | ||||
\(704\) | 733184. | + | 1.26991e6i | 0.0557547 | + | 0.0965699i | ||||
\(705\) | 762840. | − | 1.32128e6i | 0.0578044 | − | 0.100120i | ||||
\(706\) | −1.12433e7 | −0.848947 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 6.12346e6 | 0.459107 | ||||||||
\(709\) | 4.91792e6 | − | 8.51809e6i | 0.367423 | − | 0.636394i | −0.621739 | − | 0.783224i | \(-0.713574\pi\) |
0.989162 | + | 0.146830i | \(0.0469070\pi\) | |||||||
\(710\) | −228904. | − | 396473.i | −0.0170415 | − | 0.0295167i | ||||
\(711\) | −2.64206e6 | − | 4.57618e6i | −0.196006 | − | 0.339492i | ||||
\(712\) | −4.09619e6 | + | 7.09481e6i | −0.302817 | + | 0.524495i | ||||
\(713\) | −1.21409e7 | −0.894387 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.09026e6 | −0.226063 | ||||||||
\(716\) | 2.86018e6 | − | 4.95397e6i | 0.208502 | − | 0.361136i | ||||
\(717\) | 1.72889e6 | + | 2.99453e6i | 0.125594 | + | 0.217536i | ||||
\(718\) | 1.87862e6 | + | 3.25387e6i | 0.135997 | + | 0.235553i | ||||
\(719\) | 1.06812e7 | − | 1.85004e7i | 0.770546 | − | 1.33463i | −0.166717 | − | 0.986005i | \(-0.553317\pi\) |
0.937264 | − | 0.348621i | \(-0.113350\pi\) | |||||||
\(720\) | 539136. | 0.0387585 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −9.45560e6 | −0.675066 | ||||||||
\(723\) | 4.29201e6 | − | 7.43398e6i | 0.305362 | − | 0.528902i | ||||
\(724\) | −5.57206e6 | − | 9.65110e6i | −0.395066 | − | 0.684274i | ||||
\(725\) | −4.42044e6 | − | 7.65644e6i | −0.312335 | − | 0.540980i | ||||
\(726\) | −591966. | + | 1.02532e6i | −0.0416826 | + | 0.0721964i | ||||
\(727\) | 6.53025e6 | 0.458241 | 0.229120 | − | 0.973398i | \(-0.426415\pi\) | ||||
0.229120 | + | 0.973398i | \(0.426415\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 531441. | 0.0370370 | ||||||||
\(730\) | 1.06600e6 | − | 1.84637e6i | 0.0740372 | − | 0.128236i | ||||
\(731\) | −402444. | − | 697053.i | −0.0278556 | − | 0.0482473i | ||||
\(732\) | 3.22848e6 | + | 5.59189e6i | 0.222700 | + | 0.385728i | ||||
\(733\) | 8.32855e6 | − | 1.44255e7i | 0.572545 | − | 0.991677i | −0.423759 | − | 0.905775i | \(-0.639290\pi\) |
0.996304 | − | 0.0859016i | \(-0.0273771\pi\) | |||||||
\(734\) | −1.23940e7 | −0.849128 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.19341e6 | 0.149254 | ||||||||
\(737\) | −259192. | + | 448934.i | −0.0175773 | + | 0.0304448i | ||||
\(738\) | −347004. | − | 601029.i | −0.0234527 | − | 0.0406213i | ||||
\(739\) | 1.19768e7 | + | 2.07444e7i | 0.806733 | + | 1.39730i | 0.915115 | + | 0.403192i | \(0.132099\pi\) |
−0.108383 | + | 0.994109i | \(0.534567\pi\) | |||||||
\(740\) | 607776. | − | 1.05270e6i | 0.0408004 | − | 0.0706683i | ||||
\(741\) | −6.57360e6 | −0.439803 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −7.48982e6 | −0.497736 | −0.248868 | − | 0.968537i | \(-0.580059\pi\) | ||||
−0.248868 | + | 0.968537i | \(0.580059\pi\) | |||||||
\(744\) | 1.63238e6 | − | 2.82737e6i | 0.108116 | − | 0.187262i | ||||
\(745\) | −904202. | − | 1.56612e6i | −0.0596863 | − | 0.103380i | ||||
\(746\) | −456532. | − | 790737.i | −0.0300348 | − | 0.0520217i | ||||
\(747\) | 4.16356e6 | − | 7.21150e6i | 0.273001 | − | 0.472851i | ||||
\(748\) | −721728. | −0.0471650 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 5.21726e6 | 0.338680 | ||||||||
\(751\) | 2.35922e6 | − | 4.08630e6i | 0.152640 | − | 0.264381i | −0.779557 | − | 0.626331i | \(-0.784556\pi\) |
0.932197 | + | 0.361950i | \(0.117889\pi\) | |||||||
\(752\) | 834560. | + | 1.44550e6i | 0.0538162 | + | 0.0932124i | ||||
\(753\) | −2.56293e6 | − | 4.43912e6i | −0.164721 | − | 0.285305i | ||||
\(754\) | −2.39704e6 | + | 4.15180e6i | −0.153549 | + | 0.265955i | ||||
\(755\) | 1.37602e7 | 0.878534 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.67397e7 | −1.69597 | −0.847983 | − | 0.530024i | \(-0.822183\pi\) | ||||
−0.847983 | + | 0.530024i | \(0.822183\pi\) | |||||||
\(758\) | −2.07338e6 | + | 3.59121e6i | −0.131071 | + | 0.227022i | ||||
\(759\) | −3.45076e6 | − | 5.97690e6i | −0.217426 | − | 0.376592i | ||||
\(760\) | −1.83040e6 | − | 3.17035e6i | −0.114951 | − | 0.199101i | ||||
\(761\) | 7.21654e6 | − | 1.24994e7i | 0.451718 | − | 0.782398i | −0.546775 | − | 0.837279i | \(-0.684145\pi\) |
0.998493 | + | 0.0548815i | \(0.0174781\pi\) | |||||||
\(762\) | −5.95973e6 | −0.371825 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 1.09872e6 | 0.0681010 | ||||||||
\(765\) | −132678. | + | 229805.i | −0.00819682 | + | 0.0141973i | ||||
\(766\) | −423552. | − | 733614.i | −0.0260816 | − | 0.0451747i | ||||
\(767\) | −7.05898e6 | − | 1.22265e7i | −0.433265 | − | 0.750437i | ||||
\(768\) | −294912. | + | 510803.i | −0.0180422 | + | 0.0312500i | ||||
\(769\) | −8.55510e6 |