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: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.2 | ||
Root | \(0.707107 + 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 294.79 |
Dual form | 294.6.e.u.67.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(199\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 | ||||
\(5\) | 30.5355 | − | 52.8891i | 0.546236 | − | 0.946109i | −0.452292 | − | 0.891870i | \(-0.649393\pi\) |
0.998528 | − | 0.0542389i | \(-0.0172732\pi\) | |||||||
\(6\) | 36.0000 | 0.408248 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 64.0000 | 0.353553 | ||||||||
\(9\) | −40.5000 | + | 70.1481i | −0.166667 | + | 0.288675i | ||||
\(10\) | 122.142 | + | 211.556i | 0.386247 | + | 0.669000i | ||||
\(11\) | 18.2721 | + | 31.6482i | 0.0455309 | + | 0.0788618i | 0.887893 | − | 0.460051i | \(-0.152169\pi\) |
−0.842362 | + | 0.538912i | \(0.818835\pi\) | |||||||
\(12\) | −72.0000 | + | 124.708i | −0.144338 | + | 0.250000i | ||||
\(13\) | 34.5656 | 0.0567264 | 0.0283632 | − | 0.999598i | \(-0.490970\pi\) | ||||
0.0283632 | + | 0.999598i | \(0.490970\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −549.640 | −0.630739 | ||||||||
\(16\) | −128.000 | + | 221.703i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1030.52 | + | 1784.91i | 0.864836 | + | 1.49794i | 0.867210 | + | 0.497943i | \(0.165911\pi\) |
−0.00237330 | + | 0.999997i | \(0.500755\pi\) | |||||||
\(18\) | −162.000 | − | 280.592i | −0.117851 | − | 0.204124i | ||||
\(19\) | −226.119 | + | 391.650i | −0.143699 | + | 0.248894i | −0.928887 | − | 0.370364i | \(-0.879233\pi\) |
0.785188 | + | 0.619258i | \(0.212566\pi\) | |||||||
\(20\) | −977.137 | −0.546236 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −146.177 | −0.0643904 | ||||||||
\(23\) | −842.124 | + | 1458.60i | −0.331938 | + | 0.574933i | −0.982892 | − | 0.184184i | \(-0.941036\pi\) |
0.650954 | + | 0.759117i | \(0.274369\pi\) | |||||||
\(24\) | −288.000 | − | 498.831i | −0.102062 | − | 0.176777i | ||||
\(25\) | −302.338 | − | 523.664i | −0.0967481 | − | 0.167573i | ||||
\(26\) | −69.1312 | + | 119.739i | −0.0200558 | + | 0.0347377i | ||||
\(27\) | 729.000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4765.22 | −1.05217 | −0.526087 | − | 0.850431i | \(-0.676341\pi\) | ||||
−0.526087 | + | 0.850431i | \(0.676341\pi\) | |||||||
\(30\) | 1099.28 | − | 1904.01i | 0.223000 | − | 0.386247i | ||||
\(31\) | 2630.43 | + | 4556.04i | 0.491613 | + | 0.851498i | 0.999953 | − | 0.00965788i | \(-0.00307425\pi\) |
−0.508341 | + | 0.861156i | \(0.669741\pi\) | |||||||
\(32\) | −512.000 | − | 886.810i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 164.449 | − | 284.834i | 0.0262873 | − | 0.0455309i | ||||
\(34\) | −8244.16 | −1.22306 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1296.00 | 0.166667 | ||||||||
\(37\) | 6410.98 | − | 11104.1i | 0.769875 | − | 1.33346i | −0.167756 | − | 0.985829i | \(-0.553652\pi\) |
0.937631 | − | 0.347633i | \(-0.113015\pi\) | |||||||
\(38\) | −904.476 | − | 1566.60i | −0.101610 | − | 0.175994i | ||||
\(39\) | −155.545 | − | 269.412i | −0.0163755 | − | 0.0283632i | ||||
\(40\) | 1954.27 | − | 3384.90i | 0.193124 | − | 0.334500i | ||||
\(41\) | −7126.74 | −0.662111 | −0.331056 | − | 0.943611i | \(-0.607405\pi\) | ||||
−0.331056 | + | 0.943611i | \(0.607405\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 11141.7 | 0.918925 | 0.459462 | − | 0.888197i | \(-0.348042\pi\) | ||||
0.459462 | + | 0.888197i | \(0.348042\pi\) | |||||||
\(44\) | 292.353 | − | 506.371i | 0.0227654 | − | 0.0394309i | ||||
\(45\) | 2473.38 | + | 4284.02i | 0.182079 | + | 0.315370i | ||||
\(46\) | −3368.50 | − | 5834.41i | −0.234715 | − | 0.406539i | ||||
\(47\) | 11721.6 | − | 20302.4i | 0.774002 | − | 1.34061i | −0.161351 | − | 0.986897i | \(-0.551585\pi\) |
0.935353 | − | 0.353714i | \(-0.115082\pi\) | |||||||
\(48\) | 2304.00 | 0.144338 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2418.70 | 0.136822 | ||||||||
\(51\) | 9274.68 | − | 16064.2i | 0.499313 | − | 0.864836i | ||||
\(52\) | −276.525 | − | 478.955i | −0.0141816 | − | 0.0245633i | ||||
\(53\) | 3515.15 | + | 6088.42i | 0.171891 | + | 0.297725i | 0.939081 | − | 0.343696i | \(-0.111679\pi\) |
−0.767190 | + | 0.641420i | \(0.778346\pi\) | |||||||
\(54\) | −1458.00 | + | 2525.33i | −0.0680414 | + | 0.117851i | ||||
\(55\) | 2231.79 | 0.0994825 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4070.14 | 0.165929 | ||||||||
\(58\) | 9530.43 | − | 16507.2i | 0.372000 | − | 0.644323i | ||||
\(59\) | 22111.4 | + | 38298.1i | 0.826964 | + | 1.43234i | 0.900409 | + | 0.435044i | \(0.143267\pi\) |
−0.0734457 | + | 0.997299i | \(0.523400\pi\) | |||||||
\(60\) | 4397.12 | + | 7616.03i | 0.157685 | + | 0.273118i | ||||
\(61\) | −9690.24 | + | 16784.0i | −0.333434 | + | 0.577524i | −0.983183 | − | 0.182624i | \(-0.941541\pi\) |
0.649749 | + | 0.760149i | \(0.274874\pi\) | |||||||
\(62\) | −21043.5 | −0.695245 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4096.00 | 0.125000 | ||||||||
\(65\) | 1055.48 | − | 1828.14i | 0.0309860 | − | 0.0536694i | ||||
\(66\) | 657.795 | + | 1139.33i | 0.0185879 | + | 0.0321952i | ||||
\(67\) | −10472.0 | − | 18138.1i | −0.285000 | − | 0.493634i | 0.687609 | − | 0.726081i | \(-0.258660\pi\) |
−0.972609 | + | 0.232447i | \(0.925327\pi\) | |||||||
\(68\) | 16488.3 | − | 28558.6i | 0.432418 | − | 0.748970i | ||||
\(69\) | 15158.2 | 0.383289 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 79843.4 | 1.87972 | 0.939860 | − | 0.341560i | \(-0.110955\pi\) | ||||
0.939860 | + | 0.341560i | \(0.110955\pi\) | |||||||
\(72\) | −2592.00 | + | 4489.48i | −0.0589256 | + | 0.102062i | ||||
\(73\) | 18532.9 | + | 32099.9i | 0.407039 | + | 0.705013i | 0.994556 | − | 0.104199i | \(-0.0332278\pi\) |
−0.587517 | + | 0.809212i | \(0.699895\pi\) | |||||||
\(74\) | 25643.9 | + | 44416.6i | 0.544384 | + | 0.942900i | ||||
\(75\) | −2721.04 | + | 4712.98i | −0.0558575 | + | 0.0967481i | ||||
\(76\) | 7235.81 | 0.143699 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1244.36 | 0.0231585 | ||||||||
\(79\) | −21036.0 | + | 36435.4i | −0.379224 | + | 0.656835i | −0.990950 | − | 0.134235i | \(-0.957142\pi\) |
0.611726 | + | 0.791070i | \(0.290476\pi\) | |||||||
\(80\) | 7817.10 | + | 13539.6i | 0.136559 | + | 0.236527i | ||||
\(81\) | −3280.50 | − | 5681.99i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 14253.5 | − | 24687.7i | 0.234092 | − | 0.405459i | ||||
\(83\) | −6311.34 | −0.100560 | −0.0502801 | − | 0.998735i | \(-0.516011\pi\) | ||||
−0.0502801 | + | 0.998735i | \(0.516011\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 125870. | 1.88962 | ||||||||
\(86\) | −22283.4 | + | 38595.9i | −0.324889 | + | 0.562724i | ||||
\(87\) | 21443.5 | + | 37141.2i | 0.303737 | + | 0.526087i | ||||
\(88\) | 1169.41 | + | 2025.48i | 0.0160976 | + | 0.0278819i | ||||
\(89\) | 25747.9 | − | 44596.7i | 0.344562 | − | 0.596798i | −0.640712 | − | 0.767781i | \(-0.721361\pi\) |
0.985274 | + | 0.170983i | \(0.0546942\pi\) | |||||||
\(90\) | −19787.0 | −0.257498 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 26948.0 | 0.331938 | ||||||||
\(93\) | 23673.9 | − | 41004.4i | 0.283833 | − | 0.491613i | ||||
\(94\) | 46886.4 | + | 81209.6i | 0.547302 | + | 0.947955i | ||||
\(95\) | 13809.3 | + | 23918.5i | 0.156987 | + | 0.271909i | ||||
\(96\) | −4608.00 | + | 7981.29i | −0.0510310 | + | 0.0883883i | ||||
\(97\) | −127357. | −1.37434 | −0.687171 | − | 0.726496i | \(-0.741148\pi\) | ||||
−0.687171 | + | 0.726496i | \(0.741148\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2960.08 | −0.0303539 | ||||||||
\(100\) | −4837.40 | + | 8378.63i | −0.0483740 | + | 0.0837863i | ||||
\(101\) | −32879.0 | − | 56948.0i | −0.320712 | − | 0.555489i | 0.659923 | − | 0.751333i | \(-0.270589\pi\) |
−0.980635 | + | 0.195844i | \(0.937255\pi\) | |||||||
\(102\) | 37098.7 | + | 64256.8i | 0.353068 | + | 0.611532i | ||||
\(103\) | −85005.1 | + | 147233.i | −0.789499 | + | 1.36745i | 0.136774 | + | 0.990602i | \(0.456326\pi\) |
−0.926274 | + | 0.376851i | \(0.877007\pi\) | |||||||
\(104\) | 2212.20 | 0.0200558 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −28121.2 | −0.243091 | ||||||||
\(107\) | 53966.4 | − | 93472.6i | 0.455685 | − | 0.789269i | −0.543043 | − | 0.839705i | \(-0.682728\pi\) |
0.998727 | + | 0.0504363i | \(0.0160612\pi\) | |||||||
\(108\) | −5832.00 | − | 10101.3i | −0.0481125 | − | 0.0833333i | ||||
\(109\) | 111349. | + | 192862.i | 0.897679 | + | 1.55482i | 0.830454 | + | 0.557087i | \(0.188081\pi\) |
0.0672244 | + | 0.997738i | \(0.478586\pi\) | |||||||
\(110\) | −4463.58 | + | 7731.15i | −0.0351724 | + | 0.0609203i | ||||
\(111\) | −115398. | −0.888975 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 181055. | 1.33387 | 0.666936 | − | 0.745115i | \(-0.267605\pi\) | ||||
0.666936 | + | 0.745115i | \(0.267605\pi\) | |||||||
\(114\) | −8140.28 | + | 14099.4i | −0.0586648 | + | 0.101610i | ||||
\(115\) | 51429.4 | + | 89078.4i | 0.362633 | + | 0.628098i | ||||
\(116\) | 38121.7 | + | 66028.8i | 0.263044 | + | 0.455605i | ||||
\(117\) | −1399.91 | + | 2424.71i | −0.00945441 | + | 0.0163755i | ||||
\(118\) | −176891. | −1.16950 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −35176.9 | −0.223000 | ||||||||
\(121\) | 79857.8 | − | 138318.i | 0.495854 | − | 0.858844i | ||||
\(122\) | −38760.9 | − | 67135.9i | −0.235773 | − | 0.408371i | ||||
\(123\) | 32070.3 | + | 55547.4i | 0.191135 | + | 0.331056i | ||||
\(124\) | 42086.9 | − | 72896.7i | 0.245806 | − | 0.425749i | ||||
\(125\) | 153919. | 0.881083 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 91474.7 | 0.503259 | 0.251630 | − | 0.967824i | \(-0.419034\pi\) | ||||
0.251630 | + | 0.967824i | \(0.419034\pi\) | |||||||
\(128\) | −8192.00 | + | 14189.0i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −50137.6 | − | 86840.9i | −0.265271 | − | 0.459462i | ||||
\(130\) | 4221.91 | + | 7312.57i | 0.0219104 | + | 0.0379500i | ||||
\(131\) | 9671.95 | − | 16752.3i | 0.0492420 | − | 0.0852896i | −0.840354 | − | 0.542038i | \(-0.817653\pi\) |
0.889596 | + | 0.456749i | \(0.150986\pi\) | |||||||
\(132\) | −5262.36 | −0.0262873 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 83776.3 | 0.403050 | ||||||||
\(135\) | 22260.4 | − | 38556.2i | 0.105123 | − | 0.182079i | ||||
\(136\) | 65953.2 | + | 114234.i | 0.305766 | + | 0.529602i | ||||
\(137\) | 1538.52 | + | 2664.79i | 0.00700327 | + | 0.0121300i | 0.869506 | − | 0.493923i | \(-0.164437\pi\) |
−0.862503 | + | 0.506053i | \(0.831104\pi\) | |||||||
\(138\) | −30316.5 | + | 52509.7i | −0.135513 | + | 0.234715i | ||||
\(139\) | 370001. | 1.62430 | 0.812149 | − | 0.583450i | \(-0.198298\pi\) | ||||
0.812149 | + | 0.583450i | \(0.198298\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −210989. | −0.893741 | ||||||||
\(142\) | −159687. | + | 276586.i | −0.664581 | + | 1.15109i | ||||
\(143\) | 631.585 | + | 1093.94i | 0.00258281 | + | 0.00447355i | ||||
\(144\) | −10368.0 | − | 17957.9i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | −145508. | + | 252028.i | −0.574736 | + | 0.995471i | ||||
\(146\) | −148263. | −0.575641 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −205151. | −0.769875 | ||||||||
\(149\) | 227060. | − | 393279.i | 0.837866 | − | 1.45123i | −0.0538086 | − | 0.998551i | \(-0.517136\pi\) |
0.891675 | − | 0.452676i | \(-0.149531\pi\) | |||||||
\(150\) | −10884.2 | − | 18851.9i | −0.0394972 | − | 0.0684112i | ||||
\(151\) | −88795.9 | − | 153799.i | −0.316921 | − | 0.548923i | 0.662923 | − | 0.748687i | \(-0.269316\pi\) |
−0.979844 | + | 0.199765i | \(0.935982\pi\) | |||||||
\(152\) | −14471.6 | + | 25065.6i | −0.0508052 | + | 0.0879972i | ||||
\(153\) | −166944. | −0.576558 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 321287. | 1.07415 | ||||||||
\(156\) | −2488.72 | + | 4310.59i | −0.00818776 | + | 0.0141816i | ||||
\(157\) | 124491. | + | 215624.i | 0.403076 | + | 0.698149i | 0.994095 | − | 0.108509i | \(-0.0346076\pi\) |
−0.591019 | + | 0.806658i | \(0.701274\pi\) | |||||||
\(158\) | −84144.0 | − | 145742.i | −0.268152 | − | 0.464452i | ||||
\(159\) | 31636.3 | − | 54795.7i | 0.0992415 | − | 0.171891i | ||||
\(160\) | −62536.8 | −0.193124 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 26244.0 | 0.0785674 | ||||||||
\(163\) | −101124. | + | 175152.i | −0.298116 | + | 0.516351i | −0.975705 | − | 0.219089i | \(-0.929691\pi\) |
0.677589 | + | 0.735441i | \(0.263025\pi\) | |||||||
\(164\) | 57013.9 | + | 98751.0i | 0.165528 | + | 0.286703i | ||||
\(165\) | −10043.1 | − | 17395.1i | −0.0287181 | − | 0.0497413i | ||||
\(166\) | 12622.7 | − | 21863.1i | 0.0355534 | − | 0.0615803i | ||||
\(167\) | 475790. | 1.32015 | 0.660076 | − | 0.751199i | \(-0.270524\pi\) | ||||
0.660076 | + | 0.751199i | \(0.270524\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −370098. | −0.996782 | ||||||||
\(170\) | −251740. | + | 436026.i | −0.668081 | + | 1.15715i | ||||
\(171\) | −18315.6 | − | 31723.6i | −0.0478996 | − | 0.0829645i | ||||
\(172\) | −89133.5 | − | 154384.i | −0.229731 | − | 0.397906i | ||||
\(173\) | 142352. | − | 246560.i | 0.361616 | − | 0.626337i | −0.626611 | − | 0.779332i | \(-0.715559\pi\) |
0.988227 | + | 0.152995i | \(0.0488920\pi\) | |||||||
\(174\) | −171548. | −0.429548 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −9355.30 | −0.0227654 | ||||||||
\(177\) | 199003. | − | 344683.i | 0.477448 | − | 0.826964i | ||||
\(178\) | 102992. | + | 178387.i | 0.243642 | + | 0.422000i | ||||
\(179\) | −173979. | − | 301341.i | −0.405849 | − | 0.702952i | 0.588571 | − | 0.808446i | \(-0.299691\pi\) |
−0.994420 | + | 0.105494i | \(0.966358\pi\) | |||||||
\(180\) | 39574.1 | − | 68544.3i | 0.0910394 | − | 0.157685i | ||||
\(181\) | 379706. | 0.861492 | 0.430746 | − | 0.902473i | \(-0.358250\pi\) | ||||
0.430746 | + | 0.902473i | \(0.358250\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 174424. | 0.385016 | ||||||||
\(184\) | −53895.9 | + | 93350.5i | −0.117358 | + | 0.203269i | ||||
\(185\) | −391525. | − | 678142.i | −0.841067 | − | 1.45677i | ||||
\(186\) | 94695.6 | + | 164018.i | 0.200700 | + | 0.347623i | ||||
\(187\) | −37659.5 | + | 65228.1i | −0.0787535 | + | 0.136405i | ||||
\(188\) | −375091. | −0.774002 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −110475. | −0.222013 | ||||||||
\(191\) | −97246.2 | + | 168435.i | −0.192881 | + | 0.334080i | −0.946204 | − | 0.323571i | \(-0.895116\pi\) |
0.753323 | + | 0.657651i | \(0.228450\pi\) | |||||||
\(192\) | −18432.0 | − | 31925.2i | −0.0360844 | − | 0.0625000i | ||||
\(193\) | −438700. | − | 759851.i | −0.847763 | − | 1.46837i | −0.883200 | − | 0.468997i | \(-0.844615\pi\) |
0.0354361 | − | 0.999372i | \(-0.488718\pi\) | |||||||
\(194\) | 254715. | − | 441179.i | 0.485903 | − | 0.841609i | ||||
\(195\) | −18998.6 | −0.0357796 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −752368. | −1.38123 | −0.690613 | − | 0.723225i | \(-0.742659\pi\) | ||||
−0.690613 | + | 0.723225i | \(0.742659\pi\) | |||||||
\(198\) | 5920.15 | − | 10254.0i | 0.0107317 | − | 0.0185879i | ||||
\(199\) | 77726.4 | + | 134626.i | 0.139135 | + | 0.240989i | 0.927169 | − | 0.374642i | \(-0.122235\pi\) |
−0.788035 | + | 0.615631i | \(0.788901\pi\) | |||||||
\(200\) | −19349.6 | − | 33514.5i | −0.0342056 | − | 0.0592458i | ||||
\(201\) | −94248.4 | + | 163243.i | −0.164545 | + | 0.285000i | ||||
\(202\) | 263032. | 0.453555 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −296790. | −0.499313 | ||||||||
\(205\) | −217619. | + | 376927.i | −0.361669 | + | 0.626430i | ||||
\(206\) | −340020. | − | 588932.i | −0.558260 | − | 0.966935i | ||||
\(207\) | −68212.0 | − | 118147.i | −0.110646 | − | 0.191644i | ||||
\(208\) | −4424.39 | + | 7663.28i | −0.00709080 | + | 0.0122816i | ||||
\(209\) | −16526.7 | −0.0261709 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3898.23 | 0.00602783 | 0.00301391 | − | 0.999995i | \(-0.499041\pi\) | ||||
0.00301391 | + | 0.999995i | \(0.499041\pi\) | |||||||
\(212\) | 56242.4 | − | 97414.6i | 0.0859457 | − | 0.148862i | ||||
\(213\) | −359295. | − | 622318.i | −0.542628 | − | 0.939860i | ||||
\(214\) | 215866. | + | 373890.i | 0.322218 | + | 0.558097i | ||||
\(215\) | 340217. | − | 589274.i | 0.501950 | − | 0.869403i | ||||
\(216\) | 46656.0 | 0.0680414 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −890794. | −1.26951 | ||||||||
\(219\) | 166796. | − | 288899.i | 0.235004 | − | 0.407039i | ||||
\(220\) | −17854.3 | − | 30924.6i | −0.0248706 | − | 0.0430772i | ||||
\(221\) | 35620.5 | + | 61696.5i | 0.0490591 | + | 0.0849728i | ||||
\(222\) | 230795. | − | 399749.i | 0.314300 | − | 0.544384i | ||||
\(223\) | 782574. | 1.05381 | 0.526906 | − | 0.849924i | \(-0.323352\pi\) | ||||
0.526906 | + | 0.849924i | \(0.323352\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 48978.7 | 0.0644987 | ||||||||
\(226\) | −362110. | + | 627193.i | −0.471595 | + | 0.816827i | ||||
\(227\) | −398271. | − | 689826.i | −0.512997 | − | 0.888536i | −0.999886 | − | 0.0150727i | \(-0.995202\pi\) |
0.486890 | − | 0.873463i | \(-0.338131\pi\) | |||||||
\(228\) | −32561.1 | − | 56397.5i | −0.0414823 | − | 0.0718494i | ||||
\(229\) | −193522. | + | 335191.i | −0.243861 | + | 0.422380i | −0.961811 | − | 0.273715i | \(-0.911747\pi\) |
0.717950 | + | 0.696095i | \(0.245081\pi\) | |||||||
\(230\) | −411435. | −0.512840 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −304974. | −0.372000 | ||||||||
\(233\) | 191879. | − | 332345.i | 0.231547 | − | 0.401051i | −0.726717 | − | 0.686937i | \(-0.758955\pi\) |
0.958263 | + | 0.285887i | \(0.0922881\pi\) | |||||||
\(234\) | −5599.62 | − | 9698.83i | −0.00668527 | − | 0.0115792i | ||||
\(235\) | −715851. | − | 1.23989e6i | −0.845576 | − | 1.46458i | ||||
\(236\) | 353783. | − | 612769.i | 0.413482 | − | 0.716171i | ||||
\(237\) | 378648. | 0.437890 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −465409. | −0.527036 | −0.263518 | − | 0.964654i | \(-0.584883\pi\) | ||||
−0.263518 | + | 0.964654i | \(0.584883\pi\) | |||||||
\(240\) | 70353.9 | − | 121856.i | 0.0788424 | − | 0.136559i | ||||
\(241\) | 174372. | + | 302022.i | 0.193390 | + | 0.334962i | 0.946372 | − | 0.323080i | \(-0.104718\pi\) |
−0.752981 | + | 0.658042i | \(0.771385\pi\) | |||||||
\(242\) | 319431. | + | 553271.i | 0.350622 | + | 0.607294i | ||||
\(243\) | −29524.5 | + | 51137.9i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | 310088. | 0.333434 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −256563. | −0.270306 | ||||||||
\(247\) | −7815.93 | + | 13537.6i | −0.00815152 | + | 0.0141188i | ||||
\(248\) | 168348. | + | 291587.i | 0.173811 | + | 0.301050i | ||||
\(249\) | 28401.0 | + | 49192.0i | 0.0290292 | + | 0.0502801i | ||||
\(250\) | −307838. | + | 533191.i | −0.311510 | + | 0.539551i | ||||
\(251\) | −186543. | −0.186894 | −0.0934468 | − | 0.995624i | \(-0.529789\pi\) | ||||
−0.0934468 | + | 0.995624i | \(0.529789\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −61549.4 | −0.0604537 | ||||||||
\(254\) | −182949. | + | 316878.i | −0.177929 | + | 0.308182i | ||||
\(255\) | −566414. | − | 981058.i | −0.545486 | − | 0.944810i | ||||
\(256\) | −32768.0 | − | 56755.8i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −776774. | + | 1.34541e6i | −0.733605 | + | 1.27064i | 0.221728 | + | 0.975109i | \(0.428830\pi\) |
−0.955333 | + | 0.295532i | \(0.904503\pi\) | |||||||
\(258\) | 401101. | 0.375149 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −33775.3 | −0.0309860 | ||||||||
\(261\) | 192991. | − | 334271.i | 0.175362 | − | 0.303737i | ||||
\(262\) | 38687.8 | + | 67009.2i | 0.0348193 | + | 0.0603089i | ||||
\(263\) | 629798. | + | 1.09084e6i | 0.561451 | + | 0.972462i | 0.997370 | + | 0.0724759i | \(0.0230901\pi\) |
−0.435919 | + | 0.899986i | \(0.643577\pi\) | |||||||
\(264\) | 10524.7 | − | 18229.3i | 0.00929396 | − | 0.0160976i | ||||
\(265\) | 429348. | 0.375573 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −463462. | −0.397866 | ||||||||
\(268\) | −167553. | + | 290210.i | −0.142500 | + | 0.246817i | ||||
\(269\) | 85230.6 | + | 147624.i | 0.0718149 | + | 0.124387i | 0.899697 | − | 0.436515i | \(-0.143788\pi\) |
−0.827882 | + | 0.560903i | \(0.810454\pi\) | |||||||
\(270\) | 89041.6 | + | 154225.i | 0.0743333 | + | 0.128749i | ||||
\(271\) | −1.11372e6 | + | 1.92901e6i | −0.921194 | + | 1.59555i | −0.123623 | + | 0.992329i | \(0.539451\pi\) |
−0.797571 | + | 0.603225i | \(0.793882\pi\) | |||||||
\(272\) | −527626. | −0.432418 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −12308.1 | −0.00990412 | ||||||||
\(275\) | 11048.7 | − | 19136.9i | 0.00881005 | − | 0.0152595i | ||||
\(276\) | −121266. | − | 210039.i | −0.0958221 | − | 0.165969i | ||||
\(277\) | −991697. | − | 1.71767e6i | −0.776568 | − | 1.34506i | −0.933909 | − | 0.357511i | \(-0.883626\pi\) |
0.157341 | − | 0.987544i | \(-0.449708\pi\) | |||||||
\(278\) | −740002. | + | 1.28172e6i | −0.574276 | + | 0.994676i | ||||
\(279\) | −426130. | −0.327742 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.16687e6 | −0.881573 | −0.440786 | − | 0.897612i | \(-0.645300\pi\) | ||||
−0.440786 | + | 0.897612i | \(0.645300\pi\) | |||||||
\(282\) | 421978. | − | 730887.i | 0.315985 | − | 0.547302i | ||||
\(283\) | 950450. | + | 1.64623e6i | 0.705445 | + | 1.22187i | 0.966531 | + | 0.256551i | \(0.0825861\pi\) |
−0.261086 | + | 0.965316i | \(0.584081\pi\) | |||||||
\(284\) | −638747. | − | 1.10634e6i | −0.469930 | − | 0.813943i | ||||
\(285\) | 124284. | − | 215266.i | 0.0906364 | − | 0.156987i | ||||
\(286\) | −5052.68 | −0.00365264 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 82944.0 | 0.0589256 | ||||||||
\(289\) | −1.41401e6 | + | 2.44914e6i | −0.995884 | + | 1.72492i | ||||
\(290\) | −582034. | − | 1.00811e6i | −0.406400 | − | 0.703905i | ||||
\(291\) | 573108. | + | 992653.i | 0.396738 | + | 0.687171i | ||||
\(292\) | 296527. | − | 513599.i | 0.203520 | − | 0.352506i | ||||
\(293\) | 1.65009e6 | 1.12289 | 0.561445 | − | 0.827514i | \(-0.310245\pi\) | ||||
0.561445 | + | 0.827514i | \(0.310245\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.70073e6 | 1.80687 | ||||||||
\(296\) | 410303. | − | 710665.i | 0.272192 | − | 0.471450i | ||||
\(297\) | 13320.3 | + | 23071.5i | 0.00876243 | + | 0.0151770i | ||||
\(298\) | 908240. | + | 1.57312e6i | 0.592461 | + | 1.02617i | ||||
\(299\) | −29108.5 | + | 50417.4i | −0.0188296 | + | 0.0326139i | ||||
\(300\) | 87073.2 | 0.0558575 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 710367. | 0.448194 | ||||||||
\(303\) | −295911. | + | 512532.i | −0.185163 | + | 0.320712i | ||||
\(304\) | −57886.5 | − | 100262.i | −0.0359247 | − | 0.0622234i | ||||
\(305\) | 591793. | + | 1.02502e6i | 0.364267 | + | 0.630930i | ||||
\(306\) | 333888. | − | 578312.i | 0.203844 | − | 0.353068i | ||||
\(307\) | 597936. | 0.362084 | 0.181042 | − | 0.983475i | \(-0.442053\pi\) | ||||
0.181042 | + | 0.983475i | \(0.442053\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.53009e6 | 0.911635 | ||||||||
\(310\) | −642574. | + | 1.11297e6i | −0.379768 | + | 0.657778i | ||||
\(311\) | −115240. | − | 199602.i | −0.0675620 | − | 0.117021i | 0.830266 | − | 0.557368i | \(-0.188189\pi\) |
−0.897828 | + | 0.440347i | \(0.854855\pi\) | |||||||
\(312\) | −9954.89 | − | 17242.4i | −0.00578962 | − | 0.0100279i | ||||
\(313\) | −221289. | + | 383283.i | −0.127673 | + | 0.221136i | −0.922775 | − | 0.385340i | \(-0.874084\pi\) |
0.795102 | + | 0.606476i | \(0.207417\pi\) | |||||||
\(314\) | −995925. | −0.570036 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 673152. | 0.379224 | ||||||||
\(317\) | 631238. | − | 1.09334e6i | 0.352813 | − | 0.611091i | −0.633928 | − | 0.773392i | \(-0.718558\pi\) |
0.986741 | + | 0.162302i | \(0.0518917\pi\) | |||||||
\(318\) | 126545. | + | 219183.i | 0.0701743 | + | 0.121546i | ||||
\(319\) | −87070.4 | − | 150810.i | −0.0479064 | − | 0.0829764i | ||||
\(320\) | 125074. | − | 216634.i | 0.0682795 | − | 0.118264i | ||||
\(321\) | −971396. | −0.526179 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −932080. | −0.497104 | ||||||||
\(324\) | −52488.0 | + | 90911.9i | −0.0277778 | + | 0.0481125i | ||||
\(325\) | −10450.5 | − | 18100.8i | −0.00548817 | − | 0.00950579i | ||||
\(326\) | −404496. | − | 700607.i | −0.210800 | − | 0.365116i | ||||
\(327\) | 1.00214e6 | − | 1.73576e6i | 0.518275 | − | 0.897679i | ||||
\(328\) | −456111. | −0.234092 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 80344.5 | 0.0406136 | ||||||||
\(331\) | 234468. | − | 406110.i | 0.117629 | − | 0.203739i | −0.801199 | − | 0.598398i | \(-0.795804\pi\) |
0.918827 | + | 0.394659i | \(0.129137\pi\) | |||||||
\(332\) | 50490.7 | + | 87452.4i | 0.0251400 | + | 0.0435438i | ||||
\(333\) | 519289. | + | 899435.i | 0.256625 | + | 0.444487i | ||||
\(334\) | −951580. | + | 1.64818e6i | −0.466744 | + | 0.808425i | ||||
\(335\) | −1.27908e6 | −0.622708 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.46798e6 | −1.18377 | −0.591884 | − | 0.806023i | \(-0.701616\pi\) | ||||
−0.591884 | + | 0.806023i | \(0.701616\pi\) | |||||||
\(338\) | 740196. | − | 1.28206e6i | 0.352416 | − | 0.610402i | ||||
\(339\) | −814747. | − | 1.41118e6i | −0.385056 | − | 0.666936i | ||||
\(340\) | −1.00696e6 | − | 1.74410e6i | −0.472405 | − | 0.818229i | ||||
\(341\) | −96127.0 | + | 166497.i | −0.0447671 | + | 0.0775390i | ||||
\(342\) | 146525. | 0.0677402 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 713068. | 0.324889 | ||||||||
\(345\) | 462865. | − | 801705.i | 0.209366 | − | 0.362633i | ||||
\(346\) | 569406. | + | 986241.i | 0.255701 | + | 0.442887i | ||||
\(347\) | 2.14125e6 | + | 3.70875e6i | 0.954648 | + | 1.65350i | 0.735171 | + | 0.677882i | \(0.237102\pi\) |
0.219477 | + | 0.975618i | \(0.429565\pi\) | |||||||
\(348\) | 343096. | − | 594259.i | 0.151868 | − | 0.263044i | ||||
\(349\) | −1.84999e6 | −0.813028 | −0.406514 | − | 0.913645i | \(-0.633256\pi\) | ||||
−0.406514 | + | 0.913645i | \(0.633256\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 25198.3 | 0.0109170 | ||||||||
\(352\) | 18710.6 | − | 32407.7i | 0.00804880 | − | 0.0139409i | ||||
\(353\) | 1.13690e6 | + | 1.96916e6i | 0.485607 | + | 0.841095i | 0.999863 | − | 0.0165411i | \(-0.00526543\pi\) |
−0.514257 | + | 0.857636i | \(0.671932\pi\) | |||||||
\(354\) | 796011. | + | 1.37873e6i | 0.337606 | + | 0.584752i | ||||
\(355\) | 2.43806e6 | − | 4.22284e6i | 1.02677 | − | 1.77842i | ||||
\(356\) | −823933. | −0.344562 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.39183e6 | 0.573958 | ||||||||
\(359\) | 2.19996e6 | − | 3.81044e6i | 0.900905 | − | 1.56041i | 0.0745823 | − | 0.997215i | \(-0.476238\pi\) |
0.826322 | − | 0.563198i | \(-0.190429\pi\) | |||||||
\(360\) | 158296. | + | 274177.i | 0.0643746 | + | 0.111500i | ||||
\(361\) | 1.13579e6 | + | 1.96725e6i | 0.458701 | + | 0.794494i | ||||
\(362\) | −759412. | + | 1.31534e6i | −0.304583 | + | 0.527554i | ||||
\(363\) | −1.43744e6 | −0.572563 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.26365e6 | 0.889359 | ||||||||
\(366\) | −348849. | + | 604223.i | −0.136124 | + | 0.235773i | ||||
\(367\) | 948716. | + | 1.64322e6i | 0.367681 | + | 0.636842i | 0.989203 | − | 0.146555i | \(-0.0468185\pi\) |
−0.621522 | + | 0.783397i | \(0.713485\pi\) | |||||||
\(368\) | −215584. | − | 373402.i | −0.0829844 | − | 0.143733i | ||||
\(369\) | 288633. | − | 499927.i | 0.110352 | − | 0.191135i | ||||
\(370\) | 3.13220e6 | 1.18945 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −757565. | −0.283833 | ||||||||
\(373\) | −2.28130e6 | + | 3.95133e6i | −0.849005 | + | 1.47052i | 0.0330929 | + | 0.999452i | \(0.489464\pi\) |
−0.882097 | + | 0.471067i | \(0.843869\pi\) | |||||||
\(374\) | −150638. | − | 260912.i | −0.0556872 | − | 0.0964530i | ||||
\(375\) | −692635. | − | 1.19968e6i | −0.254347 | − | 0.440542i | ||||
\(376\) | 750183. | − | 1.29935e6i | 0.273651 | − | 0.473978i | ||||
\(377\) | −164713. | −0.0596861 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.99400e6 | 1.78587 | 0.892936 | − | 0.450184i | \(-0.148642\pi\) | ||||
0.892936 | + | 0.450184i | \(0.148642\pi\) | |||||||
\(380\) | 220949. | − | 382695.i | 0.0784935 | − | 0.135955i | ||||
\(381\) | −411636. | − | 712975.i | −0.145278 | − | 0.251630i | ||||
\(382\) | −388985. | − | 673742.i | −0.136387 | − | 0.236230i | ||||
\(383\) | 1.83954e6 | − | 3.18617e6i | 0.640783 | − | 1.10987i | −0.344475 | − | 0.938796i | \(-0.611943\pi\) |
0.985258 | − | 0.171074i | \(-0.0547236\pi\) | |||||||
\(384\) | 147456. | 0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 3.50960e6 | 1.19892 | ||||||||
\(387\) | −451238. | + | 781568.i | −0.153154 | + | 0.265271i | ||||
\(388\) | 1.01886e6 | + | 1.76472e6i | 0.343585 | + | 0.595107i | ||||
\(389\) | −128617. | − | 222771.i | −0.0430947 | − | 0.0746422i | 0.843673 | − | 0.536857i | \(-0.180388\pi\) |
−0.886768 | + | 0.462214i | \(0.847055\pi\) | |||||||
\(390\) | 37997.2 | − | 65813.1i | 0.0126500 | − | 0.0219104i | ||||
\(391\) | −3.47130e6 | −1.14829 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −174095. | −0.0568598 | ||||||||
\(394\) | 1.50474e6 | − | 2.60628e6i | 0.488337 | − | 0.845825i | ||||
\(395\) | 1.28469e6 | + | 2.22515e6i | 0.414292 | + | 0.717574i | ||||
\(396\) | 23680.6 | + | 41016.0i | 0.00758848 | + | 0.0131436i | ||||
\(397\) | −216640. | + | 375232.i | −0.0689862 | + | 0.119488i | −0.898455 | − | 0.439065i | \(-0.855310\pi\) |
0.829469 | + | 0.558553i | \(0.188643\pi\) | |||||||
\(398\) | −621811. | −0.196766 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 154797. | 0.0483740 | ||||||||
\(401\) | 569122. | − | 985748.i | 0.176744 | − | 0.306129i | −0.764020 | − | 0.645193i | \(-0.776777\pi\) |
0.940763 | + | 0.339064i | \(0.110110\pi\) | |||||||
\(402\) | −376993. | − | 652972.i | −0.116351 | − | 0.201525i | ||||
\(403\) | 90922.5 | + | 157482.i | 0.0278874 | + | 0.0483025i | ||||
\(404\) | −526063. | + | 911169.i | −0.160356 | + | 0.277744i | ||||
\(405\) | −400687. | −0.121386 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 468568. | 0.140212 | ||||||||
\(408\) | 593579. | − | 1.02811e6i | 0.176534 | − | 0.305766i | ||||
\(409\) | 2.51219e6 | + | 4.35124e6i | 0.742581 | + | 1.28619i | 0.951316 | + | 0.308216i | \(0.0997320\pi\) |
−0.208735 | + | 0.977972i | \(0.566935\pi\) | |||||||
\(410\) | −870475. | − | 1.50771e6i | −0.255739 | − | 0.442953i | ||||
\(411\) | 13846.7 | − | 23983.1i | 0.00404334 | − | 0.00700327i | ||||
\(412\) | 2.72016e6 | 0.789499 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 545696. | 0.156477 | ||||||||
\(415\) | −192720. | + | 333801.i | −0.0549296 | + | 0.0951409i | ||||
\(416\) | −17697.6 | − | 30653.1i | −0.00501396 | − | 0.00868443i | ||||
\(417\) | −1.66500e6 | − | 2.88387e6i | −0.468895 | − | 0.812149i | ||||
\(418\) | 33053.3 | − | 57250.0i | 0.00925282 | − | 0.0160264i | ||||
\(419\) | −2.57295e6 | −0.715974 | −0.357987 | − | 0.933727i | \(-0.616537\pi\) | ||||
−0.357987 | + | 0.933727i | \(0.616537\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 336425. | 0.0925089 | 0.0462545 | − | 0.998930i | \(-0.485271\pi\) | ||||
0.0462545 | + | 0.998930i | \(0.485271\pi\) | |||||||
\(422\) | −7796.45 | + | 13503.9i | −0.00213116 | + | 0.00369128i | ||||
\(423\) | 949450. | + | 1.64450e6i | 0.258001 | + | 0.446871i | ||||
\(424\) | 224969. | + | 389659.i | 0.0607728 | + | 0.105262i | ||||
\(425\) | 623130. | − | 1.07929e6i | 0.167342 | − | 0.289846i | ||||
\(426\) | 2.87436e6 | 0.767392 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −1.72693e6 | −0.455685 | ||||||||
\(429\) | 5684.27 | − | 9845.44i | 0.00149118 | − | 0.00258281i | ||||
\(430\) | 1.36087e6 | + | 2.35710e6i | 0.354932 | + | 0.614761i | ||||
\(431\) | −118205. | − | 204737.i | −0.0306509 | − | 0.0530889i | 0.850293 | − | 0.526310i | \(-0.176425\pi\) |
−0.880944 | + | 0.473221i | \(0.843091\pi\) | |||||||
\(432\) | −93312.0 | + | 161621.i | −0.0240563 | + | 0.0416667i | ||||
\(433\) | −2.33004e6 | −0.597232 | −0.298616 | − | 0.954373i | \(-0.596525\pi\) | ||||
−0.298616 | + | 0.954373i | \(0.596525\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2.61915e6 | 0.663648 | ||||||||
\(436\) | 1.78159e6 | − | 3.08580e6i | 0.448839 | − | 0.777412i | ||||
\(437\) | −380840. | − | 659635.i | −0.0953980 | − | 0.165234i | ||||
\(438\) | 667185. | + | 1.15560e6i | 0.166173 | + | 0.287820i | ||||
\(439\) | −1.59981e6 | + | 2.77095e6i | −0.396193 | + | 0.686227i | −0.993253 | − | 0.115970i | \(-0.963002\pi\) |
0.597059 | + | 0.802197i | \(0.296336\pi\) | |||||||
\(440\) | 142835. | 0.0351724 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −284964. | −0.0693800 | ||||||||
\(443\) | −566202. | + | 980690.i | −0.137076 | + | 0.237423i | −0.926389 | − | 0.376569i | \(-0.877104\pi\) |
0.789313 | + | 0.613992i | \(0.210437\pi\) | |||||||
\(444\) | 923181. | + | 1.59900e6i | 0.222244 | + | 0.384937i | ||||
\(445\) | −1.57245e6 | − | 2.72357e6i | −0.376424 | − | 0.651986i | ||||
\(446\) | −1.56515e6 | + | 2.71091e6i | −0.372579 | + | 0.645325i | ||||
\(447\) | −4.08708e6 | −0.967485 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −8.23687e6 | −1.92817 | −0.964087 | − | 0.265585i | \(-0.914435\pi\) | ||||
−0.964087 | + | 0.265585i | \(0.914435\pi\) | |||||||
\(450\) | −97957.4 | + | 169667.i | −0.0228037 | + | 0.0394972i | ||||
\(451\) | −130220. | − | 225548.i | −0.0301465 | − | 0.0522153i | ||||
\(452\) | −1.44844e6 | − | 2.50877e6i | −0.333468 | − | 0.577584i | ||||
\(453\) | −799163. | + | 1.38419e6i | −0.182974 | + | 0.316921i | ||||
\(454\) | 3.18617e6 | 0.725487 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 260489. | 0.0586648 | ||||||||
\(457\) | 182566. | − | 316214.i | 0.0408912 | − | 0.0708256i | −0.844855 | − | 0.534995i | \(-0.820314\pi\) |
0.885747 | + | 0.464169i | \(0.153647\pi\) | |||||||
\(458\) | −774090. | − | 1.34076e6i | −0.172436 | − | 0.298668i | ||||
\(459\) | 751249. | + | 1.30120e6i | 0.166438 | + | 0.288279i | ||||
\(460\) | 822871. | − | 1.42525e6i | 0.181316 | − | 0.314049i | ||||
\(461\) | 332567. | 0.0728832 | 0.0364416 | − | 0.999336i | \(-0.488398\pi\) | ||||
0.0364416 | + | 0.999336i | \(0.488398\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.69992e6 | 0.368533 | 0.184266 | − | 0.982876i | \(-0.441009\pi\) | ||||
0.184266 | + | 0.982876i | \(0.441009\pi\) | |||||||
\(464\) | 609948. | − | 1.05646e6i | 0.131522 | − | 0.227802i | ||||
\(465\) | −1.44579e6 | − | 2.50418e6i | −0.310079 | − | 0.537073i | ||||
\(466\) | 767518. | + | 1.32938e6i | 0.163728 | + | 0.283586i | ||||
\(467\) | 495233. | − | 857768.i | 0.105079 | − | 0.182003i | −0.808691 | − | 0.588233i | \(-0.799824\pi\) |
0.913771 | + | 0.406231i | \(0.133157\pi\) | |||||||
\(468\) | 44797.0 | 0.00945441 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 5.72681e6 | 1.19583 | ||||||||
\(471\) | 1.12042e6 | − | 1.94062e6i | 0.232716 | − | 0.403076i | ||||
\(472\) | 1.41513e6 | + | 2.45108e6i | 0.292376 | + | 0.506410i | ||||
\(473\) | 203582. | + | 352614.i | 0.0418395 | + | 0.0724681i | ||||
\(474\) | −757296. | + | 1.31168e6i | −0.154817 | + | 0.268152i | ||||
\(475\) | 273457. | 0.0556103 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −569454. | −0.114594 | ||||||||
\(478\) | 930819. | − | 1.61223e6i | 0.186335 | − | 0.322742i | ||||
\(479\) | 3.04033e6 | + | 5.26600e6i | 0.605454 | + | 1.04868i | 0.991980 | + | 0.126399i | \(0.0403419\pi\) |
−0.386525 | + | 0.922279i | \(0.626325\pi\) | |||||||
\(480\) | 281415. | + | 487426.i | 0.0557500 | + | 0.0965618i | ||||
\(481\) | 221599. | − | 383821.i | 0.0436722 | − | 0.0756425i | ||||
\(482\) | −1.39498e6 | −0.273495 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.55545e6 | −0.495854 | ||||||||
\(485\) | −3.88893e6 | + | 6.73582e6i | −0.750715 | + | 1.30028i | ||||
\(486\) | −118098. | − | 204552.i | −0.0226805 | − | 0.0392837i | ||||
\(487\) | 3.35549e6 | + | 5.81188e6i | 0.641112 | + | 1.11044i | 0.985185 | + | 0.171495i | \(0.0548598\pi\) |
−0.344073 | + | 0.938943i | \(0.611807\pi\) | |||||||
\(488\) | −620175. | + | 1.07417e6i | −0.117887 | + | 0.204186i | ||||
\(489\) | 1.82023e6 | 0.344234 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −914042. | −0.171105 | −0.0855525 | − | 0.996334i | \(-0.527266\pi\) | ||||
−0.0855525 | + | 0.996334i | \(0.527266\pi\) | |||||||
\(492\) | 513125. | − | 888759.i | 0.0955676 | − | 0.165528i | ||||
\(493\) | −4.91065e6 | − | 8.50549e6i | −0.909959 | − | 1.57609i | ||||
\(494\) | −31263.7 | − | 54150.4i | −0.00576399 | − | 0.00998353i | ||||
\(495\) | −90387.5 | + | 156556.i | −0.0165804 | + | 0.0287181i | ||||
\(496\) | −1.34678e6 | −0.245806 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −227208. | −0.0410535 | ||||||||
\(499\) | 3.87746e6 | − | 6.71596e6i | 0.697101 | − | 1.20742i | −0.272366 | − | 0.962194i | \(-0.587806\pi\) |
0.969467 | − | 0.245221i | \(-0.0788606\pi\) | |||||||
\(500\) | −1.23135e6 | − | 2.13276e6i | −0.220271 | − | 0.381520i | ||||
\(501\) | −2.14106e6 | − | 3.70842e6i | −0.381095 | − | 0.660076i | ||||
\(502\) | 373086. | − | 646204.i | 0.0660769 | − | 0.114449i | ||||
\(503\) | −3.79381e6 | −0.668584 | −0.334292 | − | 0.942470i | \(-0.608497\pi\) | ||||
−0.334292 | + | 0.942470i | \(0.608497\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.01591e6 | −0.700737 | ||||||||
\(506\) | 123099. | − | 213213.i | 0.0213736 | − | 0.0370202i | ||||
\(507\) | 1.66544e6 | + | 2.88463e6i | 0.287746 | + | 0.498391i | ||||
\(508\) | −731798. | − | 1.26751e6i | −0.125815 | − | 0.217918i | ||||
\(509\) | 4.26580e6 | − | 7.38858e6i | 0.729804 | − | 1.26406i | −0.227162 | − | 0.973857i | \(-0.572945\pi\) |
0.956966 | − | 0.290200i | \(-0.0937220\pi\) | |||||||
\(510\) | 4.53131e6 | 0.771434 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 262144. | 0.0441942 | ||||||||
\(513\) | −164841. | + | 285513.i | −0.0276548 | + | 0.0478996i | ||||
\(514\) | −3.10710e6 | − | 5.38165e6i | −0.518737 | − | 0.898478i | ||||
\(515\) | 5.19135e6 | + | 8.99168e6i | 0.862506 | + | 1.49390i | ||||
\(516\) | −802202. | + | 1.38945e6i | −0.132635 | + | 0.229731i | ||||
\(517\) | 856712. | 0.140964 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −2.56233e6 | −0.417558 | ||||||||
\(520\) | 67550.6 | − | 117001.i | 0.0109552 | − | 0.0189750i | ||||
\(521\) | −1.59533e6 | − | 2.76320e6i | −0.257488 | − | 0.445982i | 0.708080 | − | 0.706132i | \(-0.249561\pi\) |
−0.965568 | + | 0.260150i | \(0.916228\pi\) | |||||||
\(522\) | 771965. | + | 1.33708e6i | 0.124000 | + | 0.214774i | ||||
\(523\) | −4.80339e6 | + | 8.31971e6i | −0.767880 | + | 1.33001i | 0.170830 | + | 0.985301i | \(0.445355\pi\) |
−0.938710 | + | 0.344707i | \(0.887978\pi\) | |||||||
\(524\) | −309502. | −0.0492420 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.03838e6 | −0.794012 | ||||||||
\(527\) | −5.42143e6 | + | 9.39019e6i | −0.850329 | + | 1.47281i | ||||
\(528\) | 42098.9 | + | 72917.4i | 0.00657182 | + | 0.0113827i | ||||
\(529\) | 1.79983e6 | + | 3.11739e6i | 0.279635 | + | 0.484342i | ||||
\(530\) | −858695. | + | 1.48730e6i | −0.132785 | + | 0.229991i | ||||
\(531\) | −3.58205e6 | −0.551309 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −246340. | −0.0375592 | ||||||||
\(534\) | 926925. | − | 1.60548e6i | 0.140667 | − | 0.243642i | ||||
\(535\) | −3.29579e6 | − | 5.70847e6i | −0.497823 | − | 0.862254i | ||||
\(536\) | −670210. | − | 1.16084e6i | −0.100763 | − | 0.174526i | ||||
\(537\) | −1.56581e6 | + | 2.71207e6i | −0.234317 | + | 0.405849i | ||||
\(538\) | −681844. | −0.101562 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −712333. | −0.105123 | ||||||||
\(541\) | −5.11832e6 | + | 8.86519e6i | −0.751855 | + | 1.30225i | 0.195067 | + | 0.980790i | \(0.437508\pi\) |
−0.946923 | + | 0.321462i | \(0.895826\pi\) | |||||||
\(542\) | −4.45486e6 | − | 7.71605e6i | −0.651382 | − | 1.12823i | ||||
\(543\) | −1.70868e6 | − | 2.95952e6i | −0.248691 | − | 0.430746i | ||||
\(544\) | 1.05525e6 | − | 1.82775e6i | 0.152883 | − | 0.264801i | ||||
\(545\) | 1.36004e7 | 1.96138 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.27757e6 | −1.32576 | −0.662882 | − | 0.748724i | \(-0.730667\pi\) | ||||
−0.662882 | + | 0.748724i | \(0.730667\pi\) | |||||||
\(548\) | 24616.3 | − | 42636.7i | 0.00350164 | − | 0.00606501i | ||||
\(549\) | −784909. | − | 1.35950e6i | −0.111145 | − | 0.192508i | ||||
\(550\) | 44194.7 | + | 76547.5i | 0.00622965 | + | 0.0107901i | ||||
\(551\) | 1.07751e6 | − | 1.86630e6i | 0.151196 | − | 0.261879i | ||||
\(552\) | 970127. | 0.135513 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 7.93357e6 | 1.09823 | ||||||||
\(555\) | −3.52373e6 | + | 6.10327e6i | −0.485590 | + | 0.841067i | ||||
\(556\) | −2.96001e6 | − | 5.12688e6i | −0.406075 | − | 0.703342i | ||||
\(557\) | −310049. | − | 537021.i | −0.0423441 | − | 0.0733421i | 0.844077 | − | 0.536223i | \(-0.180149\pi\) |
−0.886421 | + | 0.462881i | \(0.846816\pi\) | |||||||
\(558\) | 852260. | − | 1.47616e6i | 0.115874 | − | 0.200700i | ||||
\(559\) | 385119. | 0.0521273 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 677870. | 0.0909368 | ||||||||
\(562\) | 2.33375e6 | − | 4.04217e6i | 0.311683 | − | 0.539851i | ||||
\(563\) | 3.68332e6 | + | 6.37970e6i | 0.489744 | + | 0.848261i | 0.999930 | − | 0.0118029i | \(-0.00375708\pi\) |
−0.510187 | + | 0.860064i | \(0.670424\pi\) | |||||||
\(564\) | 1.68791e6 | + | 2.92355e6i | 0.223435 | + | 0.387001i | ||||
\(565\) | 5.52861e6 | − | 9.57583e6i | 0.728610 | − | 1.26199i | ||||
\(566\) | −7.60360e6 | −0.997650 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.10998e6 | 0.664581 | ||||||||
\(569\) | −1.84111e6 | + | 3.18890e6i | −0.238396 | + | 0.412914i | −0.960254 | − | 0.279127i | \(-0.909955\pi\) |
0.721858 | + | 0.692041i | \(0.243288\pi\) | |||||||
\(570\) | 497136. | + | 861064.i | 0.0640896 | + | 0.111007i | ||||
\(571\) | −5.16600e6 | − | 8.94777e6i | −0.663077 | − | 1.14848i | −0.979803 | − | 0.199966i | \(-0.935917\pi\) |
0.316726 | − | 0.948517i | \(-0.397416\pi\) | |||||||
\(572\) | 10105.4 | − | 17503.0i | 0.00129140 | − | 0.00223678i | ||||
\(573\) | 1.75043e6 | 0.222720 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.01842e6 | 0.128457 | ||||||||
\(576\) | −165888. | + | 287326.i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | −6.25617e6 | − | 1.08360e7i | −0.782292 | − | 1.35497i | −0.930603 | − | 0.366029i | \(-0.880717\pi\) |
0.148311 | − | 0.988941i | \(-0.452616\pi\) | |||||||
\(578\) | −5.65605e6 | − | 9.79657e6i | −0.704196 | − | 1.21970i | ||||
\(579\) | −3.94830e6 | + | 6.83866e6i | −0.489456 | + | 0.847763i | ||||
\(580\) | 4.65627e6 | 0.574736 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −4.58487e6 | −0.561073 | ||||||||
\(583\) | −128458. | + | 222496.i | −0.0156527 | + | 0.0271113i | ||||
\(584\) | 1.18611e6 | + | 2.05440e6i | 0.143910 | + | 0.249260i | ||||
\(585\) | 85493.8 | + | 148080.i | 0.0103287 | + | 0.0178898i | ||||
\(586\) | −3.30017e6 | + | 5.71607e6i | −0.397002 | + | 0.687627i | ||||
\(587\) | 1.60865e7 | 1.92694 | 0.963468 | − | 0.267823i | \(-0.0863042\pi\) | ||||
0.963468 | + | 0.267823i | \(0.0863042\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.37916e6 | −0.282577 | ||||||||
\(590\) | −5.40147e6 | + | 9.35562e6i | −0.638825 | + | 1.10648i | ||||
\(591\) | 3.38566e6 | + | 5.86413e6i | 0.398726 | + | 0.690613i | ||||
\(592\) | 1.64121e6 | + | 2.84266e6i | 0.192469 | + | 0.333365i | ||||
\(593\) | −4.73165e6 | + | 8.19546e6i | −0.552556 | + | 0.957054i | 0.445534 | + | 0.895265i | \(0.353014\pi\) |
−0.998089 | + | 0.0617892i | \(0.980319\pi\) | |||||||
\(594\) | −106563. | −0.0123919 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −7.26592e6 | −0.837866 | ||||||||
\(597\) | 699538. | − | 1.21163e6i | 0.0803295 | − | 0.139135i | ||||
\(598\) | −116434. | − | 201670.i | −0.0133146 | − | 0.0230615i | ||||
\(599\) | −2.50749e6 | − | 4.34310e6i | −0.285544 | − | 0.494576i | 0.687197 | − | 0.726471i | \(-0.258841\pi\) |
−0.972741 | + | 0.231895i | \(0.925507\pi\) | |||||||
\(600\) | −174146. | + | 301631.i | −0.0197486 | + | 0.0342056i | ||||
\(601\) | −1.26473e7 | −1.42828 | −0.714139 | − | 0.700004i | \(-0.753182\pi\) | ||||
−0.714139 | + | 0.700004i | \(0.753182\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.69647e6 | 0.190000 | ||||||||
\(604\) | −1.42073e6 | + | 2.46078e6i | −0.158460 | + | 0.274461i | ||||
\(605\) | −4.87700e6 | − | 8.44721e6i | −0.541707 | − | 0.938264i | ||||
\(606\) | −1.18364e6 | − | 2.05013e6i | −0.130930 | − | 0.226777i | ||||
\(607\) | −1.43851e6 | + | 2.49157e6i | −0.158468 | + | 0.274475i | −0.934316 | − | 0.356445i | \(-0.883989\pi\) |
0.775848 | + | 0.630919i | \(0.217322\pi\) | |||||||
\(608\) | 463092. | 0.0508052 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.73434e6 | −0.515152 | ||||||||
\(611\) | 405164. | − | 701765.i | 0.0439064 | − | 0.0760481i | ||||
\(612\) | 1.33555e6 | + | 2.31325e6i | 0.144139 | + | 0.249657i | ||||
\(613\) | 1.86291e6 | + | 3.22666e6i | 0.200236 | + | 0.346818i | 0.948604 | − | 0.316465i | \(-0.102496\pi\) |
−0.748369 | + | 0.663283i | \(0.769163\pi\) | |||||||
\(614\) | −1.19587e6 | + | 2.07131e6i | −0.128016 | + | 0.221730i | ||||
\(615\) | 3.91714e6 | 0.417620 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.15861e7 | −1.22525 | −0.612625 | − | 0.790374i | \(-0.709886\pi\) | ||||
−0.612625 | + | 0.790374i | \(0.709886\pi\) | |||||||
\(618\) | −3.06018e6 | + | 5.30039e6i | −0.322312 | + | 0.558260i | ||||
\(619\) | 928039. | + | 1.60741e6i | 0.0973508 | + | 0.168617i | 0.910587 | − | 0.413317i | \(-0.135630\pi\) |
−0.813236 | + | 0.581933i | \(0.802296\pi\) | |||||||
\(620\) | −2.57029e6 | − | 4.45188e6i | −0.268537 | − | 0.465119i | ||||
\(621\) | −613908. | + | 1.06332e6i | −0.0638814 | + | 0.110646i | ||||
\(622\) | 921921. | 0.0955471 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 79639.1 | 0.00818776 | ||||||||
\(625\) | 5.64480e6 | − | 9.77708e6i | 0.578028 | − | 1.00117i | ||||
\(626\) | −885155. | − | 1.53313e6i | −0.0902783 | − | 0.156367i | ||||
\(627\) | 74369.9 | + | 128813.i | 0.00755490 | + | 0.0130855i | ||||
\(628\) | 1.99185e6 | − | 3.44998e6i | 0.201538 | − | 0.349074i | ||||
\(629\) | 2.64266e7 | 2.66326 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.92135e6 | 0.891984 | 0.445992 | − | 0.895037i | \(-0.352851\pi\) | ||||
0.445992 | + | 0.895037i | \(0.352851\pi\) | |||||||
\(632\) | −1.34630e6 | + | 2.33187e6i | −0.134076 | + | 0.232226i | ||||
\(633\) | −17542.0 | − | 30383.7i | −0.00174008 | − | 0.00301391i | ||||
\(634\) | 2.52495e6 | + | 4.37335e6i | 0.249477 | + | 0.432106i | ||||
\(635\) | 2.79323e6 | − | 4.83802e6i | 0.274898 | − | 0.476138i | ||||
\(636\) | −1.01236e6 | −0.0992415 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 696563. | 0.0677499 | ||||||||
\(639\) | −3.23366e6 | + | 5.60086e6i | −0.313287 | + | 0.542628i | ||||
\(640\) | 500294. | + | 866535.i | 0.0482809 | + | 0.0836250i | ||||
\(641\) | −6.59332e6 | − | 1.14200e7i | −0.633810 | − | 1.09779i | −0.986766 | − | 0.162151i | \(-0.948157\pi\) |
0.352956 | − | 0.935640i | \(-0.385177\pi\) | |||||||
\(642\) | 1.94279e6 | − | 3.36501e6i | 0.186032 | − | 0.322218i | ||||
\(643\) | −9.67813e6 | −0.923132 | −0.461566 | − | 0.887106i | \(-0.652712\pi\) | ||||
−0.461566 | + | 0.887106i | \(0.652712\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.12391e6 | −0.579602 | ||||||||
\(646\) | 1.86416e6 | − | 3.22882e6i | 0.175753 | − | 0.304413i | ||||
\(647\) | 862455. | + | 1.49382e6i | 0.0809982 | + | 0.140293i | 0.903679 | − | 0.428211i | \(-0.140856\pi\) |
−0.822681 | + | 0.568504i | \(0.807523\pi\) | |||||||
\(648\) | −209952. | − | 363648.i | −0.0196419 | − | 0.0340207i | ||||
\(649\) | −808043. | + | 1.39957e6i | −0.0753048 | + | 0.130432i | ||||
\(650\) | 83603.8 | 0.00776145 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.23596e6 | 0.298116 | ||||||||
\(653\) | −298755. | + | 517459.i | −0.0274178 | + | 0.0474890i | −0.879409 | − | 0.476068i | \(-0.842062\pi\) |
0.851991 | + | 0.523557i | \(0.175395\pi\) | |||||||
\(654\) | 4.00857e6 | + | 6.94305e6i | 0.366476 | + | 0.634755i | ||||
\(655\) | −590676. | − | 1.02308e6i | −0.0537955 | − | 0.0931766i | ||||
\(656\) | 912222. | − | 1.58002e6i | 0.0827639 | − | 0.143351i | ||||
\(657\) | −3.00233e6 | −0.271360 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.47605e7 | 1.32400 | 0.662001 | − | 0.749503i | \(-0.269707\pi\) | ||||
0.662001 | + | 0.749503i | \(0.269707\pi\) | |||||||
\(660\) | −160689. | + | 278321.i | −0.0143591 | + | 0.0248706i | ||||
\(661\) | −8.45206e6 | − | 1.46394e7i | −0.752418 | − | 1.30323i | −0.946648 | − | 0.322270i | \(-0.895554\pi\) |
0.194230 | − | 0.980956i | \(-0.437779\pi\) | |||||||
\(662\) | 937871. | + | 1.62444e6i | 0.0831760 | + | 0.144065i | ||||
\(663\) | 320585. | − | 555269.i | 0.0283243 | − | 0.0490591i | ||||
\(664\) | −403925. | −0.0355534 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −4.15431e6 | −0.362922 | ||||||||
\(667\) | 4.01290e6 | − | 6.95055e6i | 0.349256 | − | 0.604930i | ||||
\(668\) | −3.80632e6 | − | 6.59274e6i | −0.330038 | − | 0.571643i | ||||
\(669\) | −3.52158e6 | − | 6.09956e6i | −0.304209 | − | 0.526906i | ||||
\(670\) | 2.55815e6 | − | 4.43085e6i | 0.220161 | − | 0.381329i | ||||
\(671\) | −708243. | −0.0607262 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.58960e7 | −1.35285 | −0.676425 | − | 0.736512i | \(-0.736472\pi\) | ||||
−0.676425 | + | 0.736512i | \(0.736472\pi\) | |||||||
\(674\) | 4.93596e6 | − | 8.54933e6i | 0.418525 | − | 0.724907i | ||||
\(675\) | −220404. | − | 381751.i | −0.0186192 | − | 0.0322494i | ||||
\(676\) | 2.96079e6 | + | 5.12823e6i | 0.249196 | + | 0.431619i | ||||
\(677\) | 976806. | − | 1.69188e6i | 0.0819099 | − | 0.141872i | −0.822160 | − | 0.569256i | \(-0.807231\pi\) |
0.904070 | + | 0.427384i | \(0.140565\pi\) | |||||||
\(678\) | 6.51798e6 | 0.544551 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 8.05567e6 | 0.668081 | ||||||||
\(681\) | −3.58444e6 | + | 6.20844e6i | −0.296179 | + | 0.512997i | ||||
\(682\) | −384508. | − | 665987.i | −0.0316551 | − | 0.0548283i | ||||
\(683\) | 4.61985e6 | + | 8.00182e6i | 0.378945 | + | 0.656352i | 0.990909 | − | 0.134534i | \(-0.0429536\pi\) |
−0.611964 | + | 0.790886i | \(0.709620\pi\) | |||||||
\(684\) | −293050. | + | 507578.i | −0.0239498 | + | 0.0414823i | ||||
\(685\) | 187918. | 0.0153018 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 3.48340e6 | 0.281587 | ||||||||
\(688\) | −1.42614e6 | + | 2.47014e6i | −0.114866 | + | 0.198953i | ||||
\(689\) | 121503. | + | 210450.i | 0.00975078 | + | 0.0168889i | ||||
\(690\) | 1.85146e6 | + | 3.20682e6i | 0.148044 | + | 0.256420i | ||||
\(691\) | 7.28490e6 | − | 1.26178e7i | 0.580401 | − | 1.00528i | −0.415030 | − | 0.909808i | \(-0.636229\pi\) |
0.995432 | − | 0.0954768i | \(-0.0304376\pi\) | |||||||
\(692\) | −4.55525e6 | −0.361616 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.71300e7 | −1.35008 | ||||||||
\(695\) | 1.12982e7 | − | 1.95690e7i | 0.887251 | − | 1.53676i | ||||
\(696\) | 1.37238e6 | + | 2.37704e6i | 0.107387 | + | 0.186000i | ||||
\(697\) | −7.34424e6 | − | 1.27206e7i | −0.572618 | − | 0.991804i | ||||
\(698\) | 3.69998e6 | − | 6.40855e6i | 0.287449 | − | 0.497876i | ||||
\(699\) | −3.45383e6 | −0.267367 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −3.70190e6 | −0.284531 | −0.142266 | − | 0.989829i | \(-0.545439\pi\) | ||||
−0.142266 | + | 0.989829i | \(0.545439\pi\) | |||||||
\(702\) | −50396.6 | + | 87289.5i | −0.00385975 | + | 0.00668527i | ||||
\(703\) | 2.89929e6 | + | 5.02171e6i | 0.221260 | + | 0.383234i | ||||
\(704\) | 74842.4 | + | 129631.i | 0.00569136 | + | 0.00985773i | ||||
\(705\) | −6.44266e6 | + | 1.11590e7i | −0.488194 | + | 0.845576i | ||||
\(706\) | −9.09518e6 | −0.686751 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −6.36809e6 | −0.477448 | ||||||||
\(709\) | 1.26468e7 | − | 2.19049e7i | 0.944857 | − | 1.63654i | 0.188819 | − | 0.982012i | \(-0.439534\pi\) |
0.756038 | − | 0.654528i | \(-0.227133\pi\) | |||||||
\(710\) | 9.75224e6 | + | 1.68914e7i | 0.726037 | + | 1.25753i | ||||
\(711\) | −1.70392e6 | − | 2.95127e6i | −0.126408 | − | 0.218945i | ||||
\(712\) | 1.64787e6 | − | 2.85419e6i | 0.121821 | − | 0.211000i | ||||
\(713\) | −8.86061e6 | −0.652739 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 77143.1 | 0.00564329 | ||||||||
\(716\) | −2.78367e6 | + | 4.82145e6i | −0.202925 | + | 0.351476i | ||||
\(717\) | 2.09434e6 | + | 3.62751e6i | 0.152142 | + | 0.263518i | ||||
\(718\) | 8.79984e6 | + | 1.52418e7i | 0.637036 | + | 1.10338i | ||||
\(719\) | −7.25924e6 | + | 1.25734e7i | −0.523683 | + | 0.907046i | 0.475937 | + | 0.879480i | \(0.342109\pi\) |
−0.999620 | + | 0.0275667i | \(0.991224\pi\) | |||||||
\(720\) | −1.26637e6 | −0.0910394 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −9.08632e6 | −0.648702 | ||||||||
\(723\) | 1.56935e6 | − | 2.71819e6i | 0.111654 | − | 0.193390i | ||||
\(724\) | −3.03765e6 | − | 5.26136e6i | −0.215373 | − | 0.373037i | ||||
\(725\) | 1.44070e6 | + | 2.49537e6i | 0.101796 | + | 0.176316i | ||||
\(726\) | 2.87488e6 | − | 4.97944e6i | 0.202431 | − | 0.350622i | ||||
\(727\) | −1.42855e7 | −1.00244 | −0.501222 | − | 0.865319i | \(-0.667116\pi\) | ||||
−0.501222 | + | 0.865319i | \(0.667116\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 531441. | 0.0370370 | ||||||||
\(730\) | −4.52730e6 | + | 7.84151e6i | −0.314436 | + | 0.544619i | ||||
\(731\) | 1.14817e7 | + | 1.98869e7i | 0.794719 | + | 1.37649i | ||||
\(732\) | −1.39539e6 | − | 2.41689e6i | −0.0962541 | − | 0.166717i | ||||
\(733\) | 4.10778e6 | − | 7.11488e6i | 0.282389 | − | 0.489112i | −0.689584 | − | 0.724206i | \(-0.742207\pi\) |
0.971973 | + | 0.235094i | \(0.0755399\pi\) | |||||||
\(734\) | −7.58973e6 | −0.519979 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.72467e6 | 0.117358 | ||||||||
\(737\) | 382692. | − | 662842.i | 0.0259526 | − | 0.0449512i | ||||
\(738\) | 1.15453e6 | + | 1.99971e6i | 0.0780306 | + | 0.135153i | ||||
\(739\) | 1.71948e6 | + | 2.97822e6i | 0.115821 | + | 0.200607i | 0.918107 | − | 0.396332i | \(-0.129717\pi\) |
−0.802287 | + | 0.596939i | \(0.796384\pi\) | |||||||
\(740\) | −6.26440e6 | + | 1.08503e7i | −0.420533 | + | 0.728385i | ||||
\(741\) | 140687. | 0.00941256 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.53588e6 | 0.102067 | 0.0510334 | − | 0.998697i | \(-0.483748\pi\) | ||||
0.0510334 | + | 0.998697i | \(0.483748\pi\) | |||||||
\(744\) | 1.51513e6 | − | 2.62428e6i | 0.100350 | − | 0.173811i | ||||
\(745\) | −1.38668e7 | − | 2.40180e7i | −0.915346 | − | 1.58543i | ||||
\(746\) | −9.12519e6 | − | 1.58053e7i | −0.600337 | − | 1.03981i | ||||
\(747\) | 255609. | − | 442728.i | 0.0167600 | − | 0.0290292i | ||||
\(748\) | 1.20510e6 | 0.0787535 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 5.54108e6 | 0.359701 | ||||||||
\(751\) | 1.00573e7 | − | 1.74197e7i | 0.650700 | − | 1.12704i | −0.332254 | − | 0.943190i | \(-0.607809\pi\) |
0.982953 | − | 0.183855i | \(-0.0588576\pi\) | |||||||
\(752\) | 3.00073e6 | + | 5.19742e6i | 0.193501 | + | 0.335153i | ||||
\(753\) | 839443. | + | 1.45396e6i | 0.0539515 | + | 0.0934468i | ||||
\(754\) | 329425. | − | 570581.i | 0.0211022 | − | 0.0365501i | ||||
\(755\) | −1.08457e7 | −0.692454 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 202045. | 0.0128147 | 0.00640733 | − | 0.999979i | \(-0.497960\pi\) | ||||
0.00640733 | + | 0.999979i | \(0.497960\pi\) | |||||||
\(758\) | −9.98799e6 | + | 1.72997e7i | −0.631401 | + | 1.09362i | ||||
\(759\) | 276972. | + | 479730.i | 0.0174515 | + | 0.0302268i | ||||
\(760\) | 883797. | + | 1.53078e6i | 0.0555033 | + | 0.0961345i | ||||
\(761\) | 541011. | − | 937058.i | 0.0338645 | − | 0.0586550i | −0.848596 | − | 0.529041i | \(-0.822552\pi\) |
0.882461 | + | 0.470386i | \(0.155885\pi\) | |||||||
\(762\) | 3.29309e6 | 0.205455 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 3.11188e6 | 0.192881 | ||||||||
\(765\) | −5.09773e6 | + | 8.82953e6i | −0.314937 | + | 0.545486i | ||||
\(766\) | 7.35814e6 | + | 1.27447e7i | 0.453102 | + | 0.784796i | ||||
\(767\) | 764294. | + | 1.32380e6i | 0.0469107 | + | 0.0812517i | ||||
\(768\) | −294912. | + | 510803.i | −0.0180422 | + | 0.0312500i | ||||
\(769\) | 1.19305e7 |