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 | 67.2 | ||
Root | \(0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 294.67 |
Dual form | 294.6.e.v.79.2 |
$q$-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 \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(199\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.00000 | − | 3.46410i | −0.353553 | − | 0.612372i | ||||
\(3\) | 4.50000 | − | 7.79423i | 0.288675 | − | 0.500000i | ||||
\(4\) | −8.00000 | + | 13.8564i | −0.250000 | + | 0.433013i | ||||
\(5\) | −23.4645 | − | 40.6416i | −0.419745 | − | 0.727020i | 0.576168 | − | 0.817331i | \(-0.304547\pi\) |
−0.995914 | + | 0.0903111i | \(0.971214\pi\) | |||||||
\(6\) | −36.0000 | −0.408248 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 64.0000 | 0.353553 | ||||||||
\(9\) | −40.5000 | − | 70.1481i | −0.166667 | − | 0.288675i | ||||
\(10\) | −93.8579 | + | 162.567i | −0.296805 | + | 0.514081i | ||||
\(11\) | 43.7279 | − | 75.7390i | 0.108963 | − | 0.188729i | −0.806388 | − | 0.591387i | \(-0.798580\pi\) |
0.915350 | + | 0.402659i | \(0.131914\pi\) | |||||||
\(12\) | 72.0000 | + | 124.708i | 0.144338 | + | 0.250000i | ||||
\(13\) | 754.566 | 1.23834 | 0.619168 | − | 0.785258i | \(-0.287470\pi\) | ||||
0.619168 | + | 0.785258i | \(0.287470\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −422.360 | −0.484680 | ||||||||
\(16\) | −128.000 | − | 221.703i | −0.125000 | − | 0.216506i | ||||
\(17\) | 724.520 | − | 1254.90i | 0.608034 | − | 1.05315i | −0.383530 | − | 0.923528i | \(-0.625292\pi\) |
0.991564 | − | 0.129617i | \(-0.0413749\pi\) | |||||||
\(18\) | −162.000 | + | 280.592i | −0.117851 | + | 0.204124i | ||||
\(19\) | −1270.12 | − | 2199.91i | −0.807161 | − | 1.39804i | −0.914822 | − | 0.403857i | \(-0.867669\pi\) |
0.107661 | − | 0.994188i | \(-0.465664\pi\) | |||||||
\(20\) | 750.863 | 0.419745 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −349.823 | −0.154096 | ||||||||
\(23\) | 456.124 | + | 790.030i | 0.179789 | + | 0.311404i | 0.941808 | − | 0.336151i | \(-0.109125\pi\) |
−0.762019 | + | 0.647555i | \(0.775792\pi\) | |||||||
\(24\) | 288.000 | − | 498.831i | 0.102062 | − | 0.176777i | ||||
\(25\) | 461.338 | − | 799.060i | 0.147628 | − | 0.255699i | ||||
\(26\) | −1509.13 | − | 2613.89i | −0.437818 | − | 0.758323i | ||||
\(27\) | −729.000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 173.217 | 0.0382468 | 0.0191234 | − | 0.999817i | \(-0.493912\pi\) | ||||
0.0191234 | + | 0.999817i | \(0.493912\pi\) | |||||||
\(30\) | 844.721 | + | 1463.10i | 0.171360 | + | 0.296805i | ||||
\(31\) | −2265.57 | + | 3924.08i | −0.423421 | + | 0.733387i | −0.996272 | − | 0.0862730i | \(-0.972504\pi\) |
0.572850 | + | 0.819660i | \(0.305838\pi\) | |||||||
\(32\) | −512.000 | + | 886.810i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −393.551 | − | 681.651i | −0.0629095 | − | 0.108963i | ||||
\(34\) | −5796.16 | −0.859890 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1296.00 | 0.166667 | ||||||||
\(37\) | −3414.98 | − | 5914.92i | −0.410094 | − | 0.710304i | 0.584805 | − | 0.811174i | \(-0.301171\pi\) |
−0.994900 | + | 0.100870i | \(0.967838\pi\) | |||||||
\(38\) | −5080.48 | + | 8799.64i | −0.570749 | + | 0.988567i | ||||
\(39\) | 3395.55 | − | 5881.26i | 0.357477 | − | 0.619168i | ||||
\(40\) | −1501.73 | − | 2601.07i | −0.148402 | − | 0.257040i | ||||
\(41\) | 13069.3 | 1.21420 | 0.607102 | − | 0.794624i | \(-0.292332\pi\) | ||||
0.607102 | + | 0.794624i | \(0.292332\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −12277.7 | −1.01262 | −0.506309 | − | 0.862352i | \(-0.668990\pi\) | ||||
−0.506309 | + | 0.862352i | \(0.668990\pi\) | |||||||
\(44\) | 699.647 | + | 1211.82i | 0.0544813 | + | 0.0943643i | ||||
\(45\) | −1900.62 | + | 3291.97i | −0.139915 | + | 0.242340i | ||||
\(46\) | 1824.50 | − | 3160.12i | 0.127130 | − | 0.220196i | ||||
\(47\) | −6746.40 | − | 11685.1i | −0.445479 | − | 0.771592i | 0.552606 | − | 0.833442i | \(-0.313633\pi\) |
−0.998085 | + | 0.0618499i | \(0.980300\pi\) | |||||||
\(48\) | −2304.00 | −0.144338 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −3690.70 | −0.208778 | ||||||||
\(51\) | −6520.68 | − | 11294.1i | −0.351049 | − | 0.608034i | ||||
\(52\) | −6036.52 | + | 10455.6i | −0.309584 | + | 0.536215i | ||||
\(53\) | 4838.85 | − | 8381.14i | 0.236621 | − | 0.409839i | −0.723122 | − | 0.690721i | \(-0.757293\pi\) |
0.959742 | + | 0.280882i | \(0.0906268\pi\) | |||||||
\(54\) | 1458.00 | + | 2525.33i | 0.0680414 | + | 0.117851i | ||||
\(55\) | −4104.21 | −0.182946 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −22862.1 | −0.932030 | ||||||||
\(58\) | −346.434 | − | 600.041i | −0.0135223 | − | 0.0234213i | ||||
\(59\) | −15184.6 | + | 26300.5i | −0.567902 | + | 0.983634i | 0.428872 | + | 0.903365i | \(0.358911\pi\) |
−0.996773 | + | 0.0802689i | \(0.974422\pi\) | |||||||
\(60\) | 3378.88 | − | 5852.40i | 0.121170 | − | 0.209873i | ||||
\(61\) | −366.236 | − | 634.340i | −0.0126019 | − | 0.0218272i | 0.859656 | − | 0.510874i | \(-0.170678\pi\) |
−0.872258 | + | 0.489047i | \(0.837345\pi\) | |||||||
\(62\) | 18124.5 | 0.598808 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4096.00 | 0.125000 | ||||||||
\(65\) | −17705.5 | − | 30666.8i | −0.519786 | − | 0.900295i | ||||
\(66\) | −1574.21 | + | 2726.60i | −0.0444838 | + | 0.0770481i | ||||
\(67\) | −23200.0 | + | 40183.5i | −0.631394 | + | 1.09361i | 0.355873 | + | 0.934534i | \(0.384183\pi\) |
−0.987267 | + | 0.159072i | \(0.949150\pi\) | |||||||
\(68\) | 11592.3 | + | 20078.5i | 0.304017 | + | 0.526573i | ||||
\(69\) | 8210.23 | 0.207603 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3295.39 | −0.0775821 | −0.0387910 | − | 0.999247i | \(-0.512351\pi\) | ||||
−0.0387910 | + | 0.999247i | \(0.512351\pi\) | |||||||
\(72\) | −2592.00 | − | 4489.48i | −0.0589256 | − | 0.102062i | ||||
\(73\) | −5119.09 | + | 8866.53i | −0.112431 | + | 0.194736i | −0.916750 | − | 0.399462i | \(-0.869197\pi\) |
0.804319 | + | 0.594198i | \(0.202530\pi\) | |||||||
\(74\) | −13659.9 | + | 23659.7i | −0.289980 | + | 0.502261i | ||||
\(75\) | −4152.04 | − | 7191.54i | −0.0852331 | − | 0.147628i | ||||
\(76\) | 40643.8 | 0.807161 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −27164.4 | −0.505549 | ||||||||
\(79\) | −49292.0 | − | 85376.2i | −0.888605 | − | 1.53911i | −0.841525 | − | 0.540218i | \(-0.818342\pi\) |
−0.0470794 | − | 0.998891i | \(-0.514991\pi\) | |||||||
\(80\) | −6006.90 | + | 10404.3i | −0.104936 | + | 0.181755i | ||||
\(81\) | −3280.50 | + | 5681.99i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −26138.5 | − | 45273.3i | −0.429286 | − | 0.743545i | ||||
\(83\) | 87792.7 | 1.39882 | 0.699412 | − | 0.714719i | \(-0.253445\pi\) | ||||
0.699412 | + | 0.714719i | \(0.253445\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −68001.9 | −1.02088 | ||||||||
\(86\) | 24555.4 | + | 42531.2i | 0.358014 | + | 0.620099i | ||||
\(87\) | 779.476 | − | 1350.09i | 0.0110409 | − | 0.0191234i | ||||
\(88\) | 2798.59 | − | 4847.29i | 0.0385241 | − | 0.0667256i | ||||
\(89\) | 34549.9 | + | 59842.2i | 0.462351 | + | 0.800816i | 0.999078 | − | 0.0429406i | \(-0.0136726\pi\) |
−0.536726 | + | 0.843756i | \(0.680339\pi\) | |||||||
\(90\) | 15205.0 | 0.197870 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −14596.0 | −0.179789 | ||||||||
\(93\) | 20390.1 | + | 35316.7i | 0.244462 | + | 0.423421i | ||||
\(94\) | −26985.6 | + | 46740.4i | −0.315001 | + | 0.545598i | ||||
\(95\) | −59605.3 | + | 103239.i | −0.677604 | + | 1.17364i | ||||
\(96\) | 4608.00 | + | 7981.29i | 0.0510310 | + | 0.0883883i | ||||
\(97\) | −42181.4 | −0.455189 | −0.227594 | − | 0.973756i | \(-0.573086\pi\) | ||||
−0.227594 | + | 0.973756i | \(0.573086\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −7083.92 | −0.0726417 | ||||||||
\(100\) | 7381.40 | + | 12785.0i | 0.0738140 | + | 0.127850i | ||||
\(101\) | −89237.0 | + | 154563.i | −0.870445 | + | 1.50766i | −0.00890797 | + | 0.999960i | \(0.502836\pi\) |
−0.861537 | + | 0.507695i | \(0.830498\pi\) | |||||||
\(102\) | −26082.7 | + | 45176.6i | −0.248229 | + | 0.429945i | ||||
\(103\) | −17613.1 | − | 30506.8i | −0.163585 | − | 0.283337i | 0.772567 | − | 0.634933i | \(-0.218972\pi\) |
−0.936152 | + | 0.351596i | \(0.885639\pi\) | |||||||
\(104\) | 48292.2 | 0.437818 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −38710.8 | −0.334632 | ||||||||
\(107\) | −44980.4 | − | 77908.4i | −0.379808 | − | 0.657847i | 0.611226 | − | 0.791456i | \(-0.290677\pi\) |
−0.991034 | + | 0.133609i | \(0.957343\pi\) | |||||||
\(108\) | 5832.00 | − | 10101.3i | 0.0481125 | − | 0.0833333i | ||||
\(109\) | −92501.2 | + | 160217.i | −0.745729 | + | 1.29164i | 0.204124 | + | 0.978945i | \(0.434565\pi\) |
−0.949853 | + | 0.312696i | \(0.898768\pi\) | |||||||
\(110\) | 8208.42 | + | 14217.4i | 0.0646812 | + | 0.112031i | ||||
\(111\) | −61469.6 | −0.473536 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −228275. | −1.68175 | −0.840877 | − | 0.541227i | \(-0.817960\pi\) | ||||
−0.840877 | + | 0.541227i | \(0.817960\pi\) | |||||||
\(114\) | 45724.3 | + | 79196.8i | 0.329522 | + | 0.570749i | ||||
\(115\) | 21405.4 | − | 37075.3i | 0.150931 | − | 0.261421i | ||||
\(116\) | −1385.74 | + | 2400.16i | −0.00956170 | + | 0.0165614i | ||||
\(117\) | −30559.9 | − | 52931.3i | −0.206389 | − | 0.357477i | ||||
\(118\) | 121477. | 0.803134 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −27031.1 | −0.171360 | ||||||||
\(121\) | 76701.2 | + | 132850.i | 0.476254 | + | 0.824897i | ||||
\(122\) | −1464.95 | + | 2537.36i | −0.00891091 | + | 0.0154341i | ||||
\(123\) | 58811.7 | − | 101865.i | 0.350510 | − | 0.607102i | ||||
\(124\) | −36249.1 | − | 62785.2i | −0.211711 | − | 0.366693i | ||||
\(125\) | −189953. | −1.08735 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −343515. | −1.88989 | −0.944944 | − | 0.327232i | \(-0.893884\pi\) | ||||
−0.944944 | + | 0.327232i | \(0.893884\pi\) | |||||||
\(128\) | −8192.00 | − | 14189.0i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −55249.6 | + | 95695.1i | −0.292318 | + | 0.506309i | ||||
\(130\) | −70821.9 | + | 122667.i | −0.367544 | + | 0.636605i | ||||
\(131\) | 180636. | + | 312871.i | 0.919657 | + | 1.59289i | 0.799936 | + | 0.600085i | \(0.204867\pi\) |
0.119721 | + | 0.992808i | \(0.461800\pi\) | |||||||
\(132\) | 12593.6 | 0.0629095 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 185600. | 0.892926 | ||||||||
\(135\) | 17105.6 | + | 29627.8i | 0.0807800 | + | 0.139915i | ||||
\(136\) | 46369.2 | − | 80313.9i | 0.214972 | − | 0.372343i | ||||
\(137\) | 152313. | − | 263815.i | 0.693325 | − | 1.20087i | −0.277417 | − | 0.960750i | \(-0.589478\pi\) |
0.970742 | − | 0.240125i | \(-0.0771883\pi\) | |||||||
\(138\) | −16420.5 | − | 28441.1i | −0.0733986 | − | 0.127130i | ||||
\(139\) | 129737. | 0.569543 | 0.284772 | − | 0.958595i | \(-0.408082\pi\) | ||||
0.284772 | + | 0.958595i | \(0.408082\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −121435. | −0.514395 | ||||||||
\(142\) | 6590.79 | + | 11415.6i | 0.0274294 | + | 0.0475091i | ||||
\(143\) | 32995.6 | − | 57150.0i | 0.134932 | − | 0.233710i | ||||
\(144\) | −10368.0 | + | 17957.9i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | −4064.44 | − | 7039.82i | −0.0160539 | − | 0.0278062i | ||||
\(146\) | 40952.7 | 0.159001 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 109279. | 0.410094 | ||||||||
\(149\) | −186954. | − | 323814.i | −0.689873 | − | 1.19489i | −0.971879 | − | 0.235482i | \(-0.924333\pi\) |
0.282006 | − | 0.959413i | \(-0.409000\pi\) | |||||||
\(150\) | −16608.2 | + | 28766.2i | −0.0602689 | + | 0.104389i | ||||
\(151\) | 43319.9 | − | 75032.3i | 0.154613 | − | 0.267797i | −0.778305 | − | 0.627886i | \(-0.783920\pi\) |
0.932918 | + | 0.360089i | \(0.117254\pi\) | |||||||
\(152\) | −81287.6 | − | 140794.i | −0.285375 | − | 0.494283i | ||||
\(153\) | −117372. | −0.405356 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 212641. | 0.710916 | ||||||||
\(156\) | 54328.7 | + | 94100.1i | 0.178738 | + | 0.309584i | ||||
\(157\) | 231087. | − | 400254.i | 0.748214 | − | 1.29594i | −0.200465 | − | 0.979701i | \(-0.564245\pi\) |
0.948678 | − | 0.316243i | \(-0.102421\pi\) | |||||||
\(158\) | −197168. | + | 341505.i | −0.628338 | + | 1.08831i | ||||
\(159\) | −43549.7 | − | 75430.2i | −0.136613 | − | 0.236621i | ||||
\(160\) | 48055.2 | 0.148402 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 26244.0 | 0.0785674 | ||||||||
\(163\) | −304516. | − | 527437.i | −0.897721 | − | 1.55490i | −0.830401 | − | 0.557166i | \(-0.811889\pi\) |
−0.0673199 | − | 0.997731i | \(-0.521445\pi\) | |||||||
\(164\) | −104554. | + | 181093.i | −0.303551 | + | 0.525765i | ||||
\(165\) | −18468.9 | + | 31989.1i | −0.0528119 | + | 0.0914730i | ||||
\(166\) | −175585. | − | 304123.i | −0.494559 | − | 0.856601i | ||||
\(167\) | −127786. | −0.354562 | −0.177281 | − | 0.984160i | \(-0.556730\pi\) | ||||
−0.177281 | + | 0.984160i | \(0.556730\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 198076. | 0.533477 | ||||||||
\(170\) | 136004. | + | 235565.i | 0.360935 | + | 0.625157i | ||||
\(171\) | −102880. | + | 178193.i | −0.269054 | + | 0.466015i | ||||
\(172\) | 98221.5 | − | 170125.i | 0.253154 | − | 0.438476i | ||||
\(173\) | 71269.6 | + | 123443.i | 0.181046 | + | 0.313581i | 0.942237 | − | 0.334947i | \(-0.108718\pi\) |
−0.761191 | + | 0.648528i | \(0.775385\pi\) | |||||||
\(174\) | −6235.81 | −0.0156142 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −22388.7 | −0.0544813 | ||||||||
\(177\) | 136661. | + | 236704.i | 0.327878 | + | 0.567902i | ||||
\(178\) | 138200. | − | 239369.i | 0.326932 | − | 0.566262i | ||||
\(179\) | 148317. | − | 256893.i | 0.345986 | − | 0.599266i | −0.639546 | − | 0.768753i | \(-0.720878\pi\) |
0.985532 | + | 0.169487i | \(0.0542110\pi\) | |||||||
\(180\) | −30409.9 | − | 52671.6i | −0.0699575 | − | 0.121170i | ||||
\(181\) | −277654. | −0.629952 | −0.314976 | − | 0.949100i | \(-0.601996\pi\) | ||||
−0.314976 | + | 0.949100i | \(0.601996\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −6592.25 | −0.0145514 | ||||||||
\(184\) | 29191.9 | + | 50561.9i | 0.0635650 | + | 0.110098i | ||||
\(185\) | −160261. | + | 277581.i | −0.344270 | + | 0.596293i | ||||
\(186\) | 81560.4 | − | 141267.i | 0.172861 | − | 0.299404i | ||||
\(187\) | −63363.5 | − | 109749.i | −0.132506 | − | 0.229507i | ||||
\(188\) | 215885. | 0.445479 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 476843. | 0.958277 | ||||||||
\(191\) | 121292. | + | 210084.i | 0.240574 | + | 0.416687i | 0.960878 | − | 0.276972i | \(-0.0893308\pi\) |
−0.720304 | + | 0.693659i | \(0.755998\pi\) | |||||||
\(192\) | 18432.0 | − | 31925.2i | 0.0360844 | − | 0.0625000i | ||||
\(193\) | 290762. | − | 503615.i | 0.561882 | − | 0.973208i | −0.435451 | − | 0.900213i | \(-0.643411\pi\) |
0.997332 | − | 0.0729950i | \(-0.0232557\pi\) | |||||||
\(194\) | 84362.8 | + | 146121.i | 0.160933 | + | 0.278745i | ||||
\(195\) | −318699. | −0.600197 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 748916. | 1.37489 | 0.687444 | − | 0.726237i | \(-0.258733\pi\) | ||||
0.687444 | + | 0.726237i | \(0.258733\pi\) | |||||||
\(198\) | 14167.8 | + | 24539.4i | 0.0256827 | + | 0.0444838i | ||||
\(199\) | 362846. | − | 628468.i | 0.649516 | − | 1.12500i | −0.333722 | − | 0.942671i | \(-0.608305\pi\) |
0.983239 | − | 0.182324i | \(-0.0583619\pi\) | |||||||
\(200\) | 29525.6 | − | 51139.9i | 0.0521944 | − | 0.0904033i | ||||
\(201\) | 208800. | + | 361652.i | 0.364535 | + | 0.631394i | ||||
\(202\) | 713896. | 1.23100 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 208662. | 0.351049 | ||||||||
\(205\) | −306663. | − | 531156.i | −0.509656 | − | 0.882750i | ||||
\(206\) | −70452.3 | + | 122027.i | −0.115672 | + | 0.200349i | ||||
\(207\) | 36946.0 | − | 63992.4i | 0.0599297 | − | 0.103801i | ||||
\(208\) | −96584.4 | − | 167289.i | −0.154792 | − | 0.268108i | ||||
\(209\) | −222159. | −0.351801 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 814718. | 1.25980 | 0.629899 | − | 0.776677i | \(-0.283096\pi\) | ||||
0.629899 | + | 0.776677i | \(0.283096\pi\) | |||||||
\(212\) | 77421.6 | + | 134098.i | 0.118310 | + | 0.204920i | ||||
\(213\) | −14829.3 | + | 25685.1i | −0.0223960 | + | 0.0387910i | ||||
\(214\) | −179922. | + | 311634.i | −0.268565 | + | 0.465168i | ||||
\(215\) | 288089. | + | 498985.i | 0.425041 | + | 0.736193i | ||||
\(216\) | −46656.0 | −0.0680414 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 740010. | 1.05462 | ||||||||
\(219\) | 46071.8 | + | 79798.7i | 0.0649120 | + | 0.112431i | ||||
\(220\) | 32833.7 | − | 56869.6i | 0.0457365 | − | 0.0792179i | ||||
\(221\) | 546697. | − | 946908.i | 0.752950 | − | 1.30415i | ||||
\(222\) | 122939. | + | 212937.i | 0.167420 | + | 0.289980i | ||||
\(223\) | −335874. | −0.452288 | −0.226144 | − | 0.974094i | \(-0.572612\pi\) | ||||
−0.226144 | + | 0.974094i | \(0.572612\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −74736.7 | −0.0984187 | ||||||||
\(226\) | 456550. | + | 790768.i | 0.594589 | + | 1.02986i | ||||
\(227\) | 32360.6 | − | 56050.2i | 0.0416823 | − | 0.0721959i | −0.844432 | − | 0.535663i | \(-0.820062\pi\) |
0.886114 | + | 0.463467i | \(0.153395\pi\) | |||||||
\(228\) | 182897. | − | 316787.i | 0.233007 | − | 0.403581i | ||||
\(229\) | −375394. | − | 650202.i | −0.473041 | − | 0.819332i | 0.526483 | − | 0.850186i | \(-0.323511\pi\) |
−0.999524 | + | 0.0308542i | \(0.990177\pi\) | |||||||
\(230\) | −171243. | −0.213449 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 11085.9 | 0.0135223 | ||||||||
\(233\) | 693589. | + | 1.20133e6i | 0.836974 | + | 1.44968i | 0.892413 | + | 0.451220i | \(0.149011\pi\) |
−0.0554384 | + | 0.998462i | \(0.517656\pi\) | |||||||
\(234\) | −122240. | + | 211725.i | −0.145939 | + | 0.252774i | ||||
\(235\) | −316601. | + | 548369.i | −0.373975 | + | 0.647744i | ||||
\(236\) | −242953. | − | 420808.i | −0.283951 | − | 0.491817i | ||||
\(237\) | −887256. | −1.02607 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −160907. | −0.182213 | −0.0911064 | − | 0.995841i | \(-0.529040\pi\) | ||||
−0.0911064 | + | 0.995841i | \(0.529040\pi\) | |||||||
\(240\) | 54062.1 | + | 93638.4i | 0.0605850 | + | 0.104936i | ||||
\(241\) | 642408. | − | 1.11268e6i | 0.712473 | − | 1.23404i | −0.251453 | − | 0.967870i | \(-0.580908\pi\) |
0.963926 | − | 0.266170i | \(-0.0857583\pi\) | |||||||
\(242\) | 306805. | − | 531402.i | 0.336763 | − | 0.583290i | ||||
\(243\) | 29524.5 | + | 51137.9i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 11719.6 | 0.0126019 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −470493. | −0.495696 | ||||||||
\(247\) | −958388. | − | 1.65998e6i | −0.999537 | − | 1.73125i | ||||
\(248\) | −144996. | + | 251141.i | −0.149702 | + | 0.259291i | ||||
\(249\) | 395067. | − | 684276.i | 0.403806 | − | 0.699412i | ||||
\(250\) | 379906. | + | 658017.i | 0.384438 | + | 0.665866i | ||||
\(251\) | −481311. | −0.482216 | −0.241108 | − | 0.970498i | \(-0.577511\pi\) | ||||
−0.241108 | + | 0.970498i | \(0.577511\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 79781.4 | 0.0783611 | ||||||||
\(254\) | 687029. | + | 1.18997e6i | 0.668176 | + | 1.15732i | ||||
\(255\) | −306008. | + | 530022.i | −0.294702 | + | 0.510439i | ||||
\(256\) | −32768.0 | + | 56755.8i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −16544.3 | − | 28655.6i | −0.0156249 | − | 0.0270631i | 0.858107 | − | 0.513470i | \(-0.171640\pi\) |
−0.873732 | + | 0.486407i | \(0.838307\pi\) | |||||||
\(258\) | 441997. | 0.413399 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 566575. | 0.519786 | ||||||||
\(261\) | −7015.28 | − | 12150.8i | −0.00637447 | − | 0.0110409i | ||||
\(262\) | 722544. | − | 1.25148e6i | 0.650296 | − | 1.12635i | ||||
\(263\) | −223100. | + | 386421.i | −0.198889 | + | 0.344485i | −0.948168 | − | 0.317768i | \(-0.897067\pi\) |
0.749280 | + | 0.662254i | \(0.230400\pi\) | |||||||
\(264\) | −25187.3 | − | 43625.7i | −0.0222419 | − | 0.0385241i | ||||
\(265\) | −454164. | −0.397281 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 621898. | 0.533877 | ||||||||
\(268\) | −371199. | − | 642936.i | −0.315697 | − | 0.546803i | ||||
\(269\) | 974269. | − | 1.68748e6i | 0.820915 | − | 1.42187i | −0.0840873 | − | 0.996458i | \(-0.526797\pi\) |
0.905002 | − | 0.425407i | \(-0.139869\pi\) | |||||||
\(270\) | 68422.4 | − | 118511.i | 0.0571201 | − | 0.0989349i | ||||
\(271\) | 48436.5 | + | 83894.5i | 0.0400636 | + | 0.0693921i | 0.885362 | − | 0.464903i | \(-0.153911\pi\) |
−0.845298 | + | 0.534295i | \(0.820577\pi\) | |||||||
\(272\) | −370954. | −0.304017 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.21851e6 | −0.980510 | ||||||||
\(275\) | −40346.7 | − | 69882.5i | −0.0321718 | − | 0.0557233i | ||||
\(276\) | −65681.9 | + | 113764.i | −0.0519006 | + | 0.0898945i | ||||
\(277\) | −818393. | + | 1.41750e6i | −0.640859 | + | 1.11000i | 0.344382 | + | 0.938830i | \(0.388088\pi\) |
−0.985241 | + | 0.171171i | \(0.945245\pi\) | |||||||
\(278\) | −259474. | − | 449422.i | −0.201364 | − | 0.348772i | ||||
\(279\) | 367022. | 0.282281 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.79558e6 | −1.35656 | −0.678281 | − | 0.734803i | \(-0.737275\pi\) | ||||
−0.678281 | + | 0.734803i | \(0.737275\pi\) | |||||||
\(282\) | 242870. | + | 420664.i | 0.181866 | + | 0.315001i | ||||
\(283\) | 640238. | − | 1.10892e6i | 0.475199 | − | 0.823068i | −0.524398 | − | 0.851473i | \(-0.675710\pi\) |
0.999596 | + | 0.0284051i | \(0.00904285\pi\) | |||||||
\(284\) | 26363.1 | − | 45662.3i | 0.0193955 | − | 0.0335940i | ||||
\(285\) | 536448. | + | 929155.i | 0.391215 | + | 0.677604i | ||||
\(286\) | −263965. | −0.190823 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 82944.0 | 0.0589256 | ||||||||
\(289\) | −339929. | − | 588774.i | −0.239410 | − | 0.414671i | ||||
\(290\) | −16257.8 | + | 28159.3i | −0.0113518 | + | 0.0196619i | ||||
\(291\) | −189816. | + | 328771.i | −0.131402 | + | 0.227594i | ||||
\(292\) | −81905.5 | − | 141864.i | −0.0562155 | − | 0.0973680i | ||||
\(293\) | −330814. | −0.225120 | −0.112560 | − | 0.993645i | \(-0.535905\pi\) | ||||
−0.112560 | + | 0.993645i | \(0.535905\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.42519e6 | 0.953496 | ||||||||
\(296\) | −218559. | − | 378555.i | −0.144990 | − | 0.251130i | ||||
\(297\) | −31877.7 | + | 55213.7i | −0.0209698 | + | 0.0363208i | ||||
\(298\) | −747816. | + | 1.29525e6i | −0.487814 | + | 0.844918i | ||||
\(299\) | 344175. | + | 596129.i | 0.222639 | + | 0.385623i | ||||
\(300\) | 132865. | 0.0852331 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −346559. | −0.218655 | ||||||||
\(303\) | 803133. | + | 1.39107e6i | 0.502552 | + | 0.870445i | ||||
\(304\) | −325150. | + | 563177.i | −0.201790 | + | 0.349511i | ||||
\(305\) | −17187.1 | + | 29768.9i | −0.0105792 | + | 0.0183237i | ||||
\(306\) | 234744. | + | 406589.i | 0.143315 | + | 0.248229i | ||||
\(307\) | 554088. | 0.335531 | 0.167766 | − | 0.985827i | \(-0.446345\pi\) | ||||
0.167766 | + | 0.985827i | \(0.446345\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −317035. | −0.188891 | ||||||||
\(310\) | −425282. | − | 736611.i | −0.251347 | − | 0.435345i | ||||
\(311\) | −879628. | + | 1.52356e6i | −0.515701 | + | 0.893221i | 0.484133 | + | 0.874995i | \(0.339135\pi\) |
−0.999834 | + | 0.0182260i | \(0.994198\pi\) | |||||||
\(312\) | 217315. | − | 376400.i | 0.126387 | − | 0.218909i | ||||
\(313\) | −1.16910e6 | − | 2.02493e6i | −0.674512 | − | 1.16829i | −0.976611 | − | 0.215012i | \(-0.931021\pi\) |
0.302099 | − | 0.953276i | \(-0.402313\pi\) | |||||||
\(314\) | −1.84869e6 | −1.05813 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.57734e6 | 0.888605 | ||||||||
\(317\) | 483696. | + | 837786.i | 0.270349 | + | 0.468258i | 0.968951 | − | 0.247252i | \(-0.0795277\pi\) |
−0.698602 | + | 0.715510i | \(0.746194\pi\) | |||||||
\(318\) | −174199. | + | 301721.i | −0.0966000 | + | 0.167316i | ||||
\(319\) | 7574.41 | − | 13119.3i | 0.00416747 | − | 0.00721827i | ||||
\(320\) | −96110.5 | − | 166468.i | −0.0524681 | − | 0.0908775i | ||||
\(321\) | −809648. | −0.438565 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.68090e6 | −1.96313 | ||||||||
\(324\) | −52488.0 | − | 90911.9i | −0.0277778 | − | 0.0481125i | ||||
\(325\) | 348110. | − | 602943.i | 0.182813 | − | 0.316642i | ||||
\(326\) | −1.21806e6 | + | 2.10975e6i | −0.634784 | + | 1.09948i | ||||
\(327\) | 832511. | + | 1.44195e6i | 0.430547 | + | 0.745729i | ||||
\(328\) | 836433. | 0.429286 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 147752. | 0.0746874 | ||||||||
\(331\) | 163904. | + | 283890.i | 0.0822281 | + | 0.142423i | 0.904207 | − | 0.427095i | \(-0.140463\pi\) |
−0.821979 | + | 0.569518i | \(0.807130\pi\) | |||||||
\(332\) | −702341. | + | 1.21649e6i | −0.349706 | + | 0.605708i | ||||
\(333\) | −276613. | + | 479108.i | −0.136698 | + | 0.236768i | ||||
\(334\) | 255572. | + | 442664.i | 0.125357 | + | 0.217124i | ||||
\(335\) | 2.17750e6 | 1.06010 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.34052e6 | 0.642983 | 0.321491 | − | 0.946913i | \(-0.395816\pi\) | ||||
0.321491 | + | 0.946913i | \(0.395816\pi\) | |||||||
\(338\) | −396152. | − | 686156.i | −0.188613 | − | 0.326687i | ||||
\(339\) | −1.02724e6 | + | 1.77923e6i | −0.485480 | + | 0.840877i | ||||
\(340\) | 544015. | − | 942261.i | 0.255219 | − | 0.442053i | ||||
\(341\) | 198137. | + | 343183.i | 0.0922741 | + | 0.159823i | ||||
\(342\) | 823037. | 0.380500 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −785772. | −0.358014 | ||||||||
\(345\) | −192649. | − | 333677.i | −0.0871402 | − | 0.150931i | ||||
\(346\) | 285078. | − | 493770.i | 0.128019 | − | 0.221735i | ||||
\(347\) | 1.76687e6 | − | 3.06031e6i | 0.787736 | − | 1.36440i | −0.139615 | − | 0.990206i | \(-0.544586\pi\) |
0.927351 | − | 0.374193i | \(-0.122080\pi\) | |||||||
\(348\) | 12471.6 | + | 21601.5i | 0.00552045 | + | 0.00956170i | ||||
\(349\) | 3.98108e6 | 1.74959 | 0.874796 | − | 0.484491i | \(-0.160995\pi\) | ||||
0.874796 | + | 0.484491i | \(0.160995\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −550078. | −0.238318 | ||||||||
\(352\) | 44777.4 | + | 77556.7i | 0.0192620 | + | 0.0333628i | ||||
\(353\) | 22139.6 | − | 38346.8i | 0.00945654 | − | 0.0163792i | −0.861258 | − | 0.508167i | \(-0.830323\pi\) |
0.870715 | + | 0.491788i | \(0.163657\pi\) | |||||||
\(354\) | 546645. | − | 946817.i | 0.231845 | − | 0.401567i | ||||
\(355\) | 77324.6 | + | 133930.i | 0.0325647 | + | 0.0564037i | ||||
\(356\) | −1.10560e6 | −0.462351 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.18654e6 | −0.489299 | ||||||||
\(359\) | 875569. | + | 1.51653e6i | 0.358554 | + | 0.621034i | 0.987719 | − | 0.156238i | \(-0.0499366\pi\) |
−0.629166 | + | 0.777271i | \(0.716603\pi\) | |||||||
\(360\) | −121640. | + | 210686.i | −0.0494674 | + | 0.0856801i | ||||
\(361\) | −1.98835e6 | + | 3.44393e6i | −0.803019 | + | 1.39087i | ||||
\(362\) | 555308. | + | 961821.i | 0.222721 | + | 0.385765i | ||||
\(363\) | 1.38062e6 | 0.549931 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 480467. | 0.188769 | ||||||||
\(366\) | 13184.5 | + | 22836.2i | 0.00514471 | + | 0.00891091i | ||||
\(367\) | −1.98557e6 | + | 3.43911e6i | −0.769521 | + | 1.33285i | 0.168302 | + | 0.985735i | \(0.446172\pi\) |
−0.937823 | + | 0.347114i | \(0.887162\pi\) | |||||||
\(368\) | 116768. | − | 202248.i | 0.0449473 | − | 0.0778510i | ||||
\(369\) | −529305. | − | 916783.i | −0.202367 | − | 0.350510i | ||||
\(370\) | 1.28209e6 | 0.486871 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −652483. | −0.244462 | ||||||||
\(373\) | −1.11980e6 | − | 1.93955e6i | −0.416743 | − | 0.721820i | 0.578867 | − | 0.815422i | \(-0.303495\pi\) |
−0.995610 | + | 0.0936023i | \(0.970162\pi\) | |||||||
\(374\) | −253454. | + | 438995.i | −0.0936958 | + | 0.162286i | ||||
\(375\) | −854789. | + | 1.48054e6i | −0.313892 | + | 0.543677i | ||||
\(376\) | −431769. | − | 747847.i | −0.157501 | − | 0.272799i | ||||
\(377\) | 130703. | 0.0473624 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.25421e6 | −1.52132 | −0.760661 | − | 0.649149i | \(-0.775125\pi\) | ||||
−0.760661 | + | 0.649149i | \(0.775125\pi\) | |||||||
\(380\) | −953685. | − | 1.65183e6i | −0.338802 | − | 0.586822i | ||||
\(381\) | −1.54582e6 | + | 2.67743e6i | −0.545564 | + | 0.944944i | ||||
\(382\) | 485169. | − | 840337.i | 0.170112 | − | 0.294642i | ||||
\(383\) | −809417. | − | 1.40195e6i | −0.281952 | − | 0.488355i | 0.689913 | − | 0.723892i | \(-0.257649\pi\) |
−0.971865 | + | 0.235537i | \(0.924315\pi\) | |||||||
\(384\) | −147456. | −0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −2.32610e6 | −0.794621 | ||||||||
\(387\) | 497246. | + | 861256.i | 0.168770 | + | 0.292318i | ||||
\(388\) | 337451. | − | 584482.i | 0.113797 | − | 0.197102i | ||||
\(389\) | 676577. | − | 1.17187e6i | 0.226696 | − | 0.392648i | −0.730131 | − | 0.683307i | \(-0.760541\pi\) |
0.956827 | + | 0.290659i | \(0.0938744\pi\) | |||||||
\(390\) | 637397. | + | 1.10400e6i | 0.212202 | + | 0.367544i | ||||
\(391\) | 1.32188e6 | 0.437271 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.25145e6 | 1.06193 | ||||||||
\(394\) | −1.49783e6 | − | 2.59432e6i | −0.486097 | − | 0.841944i | ||||
\(395\) | −2.31322e6 | + | 4.00662e6i | −0.745975 | + | 1.29207i | ||||
\(396\) | 56671.4 | − | 98157.7i | 0.0181604 | − | 0.0314548i | ||||
\(397\) | 214028. | + | 370707.i | 0.0681545 | + | 0.118047i | 0.898089 | − | 0.439814i | \(-0.144956\pi\) |
−0.829934 | + | 0.557861i | \(0.811622\pi\) | |||||||
\(398\) | −2.90277e6 | −0.918555 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −236205. | −0.0738140 | ||||||||
\(401\) | 59114.1 | + | 102389.i | 0.0183582 | + | 0.0317973i | 0.875059 | − | 0.484017i | \(-0.160823\pi\) |
−0.856700 | + | 0.515814i | \(0.827489\pi\) | |||||||
\(402\) | 835199. | − | 1.44661e6i | 0.257765 | − | 0.446463i | ||||
\(403\) | −1.70952e6 | + | 2.96097e6i | −0.524338 | + | 0.908180i | ||||
\(404\) | −1.42779e6 | − | 2.47301e6i | −0.435223 | − | 0.753828i | ||||
\(405\) | 307901. | 0.0932767 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −597320. | −0.178740 | ||||||||
\(408\) | −417323. | − | 722825.i | −0.124114 | − | 0.214972i | ||||
\(409\) | −604871. | + | 1.04767e6i | −0.178795 | + | 0.309682i | −0.941468 | − | 0.337102i | \(-0.890553\pi\) |
0.762673 | + | 0.646784i | \(0.223886\pi\) | |||||||
\(410\) | −1.22665e6 | + | 2.12463e6i | −0.360381 | + | 0.624199i | ||||
\(411\) | −1.37082e6 | − | 2.37433e6i | −0.400291 | − | 0.693325i | ||||
\(412\) | 563619. | 0.163585 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −295568. | −0.0847534 | ||||||||
\(415\) | −2.06001e6 | − | 3.56804e6i | −0.587149 | − | 1.01697i | ||||
\(416\) | −386338. | + | 669156.i | −0.109455 | + | 0.189581i | ||||
\(417\) | 583816. | − | 1.01120e6i | 0.164413 | − | 0.284772i | ||||
\(418\) | 444317. | + | 769580.i | 0.124381 | + | 0.215433i | ||||
\(419\) | 4.12593e6 | 1.14812 | 0.574059 | − | 0.818814i | \(-0.305368\pi\) | ||||
0.574059 | + | 0.818814i | \(0.305368\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.12374e6 | 0.858953 | 0.429477 | − | 0.903078i | \(-0.358698\pi\) | ||||
0.429477 | + | 0.903078i | \(0.358698\pi\) | |||||||
\(422\) | −1.62944e6 | − | 2.82227e6i | −0.445406 | − | 0.771466i | ||||
\(423\) | −546458. | + | 946493.i | −0.148493 | + | 0.257197i | ||||
\(424\) | 309687. | − | 536393.i | 0.0836580 | − | 0.144900i | ||||
\(425\) | −668496. | − | 1.15787e6i | −0.179526 | − | 0.310948i | ||||
\(426\) | 118634. | 0.0316728 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 1.43937e6 | 0.379808 | ||||||||
\(429\) | −296960. | − | 514350.i | −0.0779032 | − | 0.134932i | ||||
\(430\) | 1.15236e6 | − | 1.99594e6i | 0.300550 | − | 0.520567i | ||||
\(431\) | −557293. | + | 965260.i | −0.144507 | + | 0.250294i | −0.929189 | − | 0.369605i | \(-0.879493\pi\) |
0.784682 | + | 0.619899i | \(0.212826\pi\) | |||||||
\(432\) | 93312.0 | + | 161621.i | 0.0240563 | + | 0.0416667i | ||||
\(433\) | 266138. | 0.0682161 | 0.0341080 | − | 0.999418i | \(-0.489141\pi\) | ||||
0.0341080 | + | 0.999418i | \(0.489141\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −73159.9 | −0.0185375 | ||||||||
\(436\) | −1.48002e6 | − | 2.56347e6i | −0.372865 | − | 0.645820i | ||||
\(437\) | 1.15866e6 | − | 2.00686e6i | 0.290238 | − | 0.502706i | ||||
\(438\) | 184287. | − | 319195.i | 0.0458997 | − | 0.0795007i | ||||
\(439\) | −1.23023e6 | − | 2.13083e6i | −0.304668 | − | 0.527700i | 0.672519 | − | 0.740079i | \(-0.265212\pi\) |
−0.977187 | + | 0.212379i | \(0.931879\pi\) | |||||||
\(440\) | −262669. | −0.0646812 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.37358e6 | −1.06483 | ||||||||
\(443\) | 605404. | + | 1.04859e6i | 0.146567 | + | 0.253861i | 0.929956 | − | 0.367670i | \(-0.119844\pi\) |
−0.783390 | + | 0.621531i | \(0.786511\pi\) | |||||||
\(444\) | 491757. | − | 851748.i | 0.118384 | − | 0.205047i | ||||
\(445\) | 1.62139e6 | − | 2.80833e6i | 0.388139 | − | 0.672277i | ||||
\(446\) | 671749. | + | 1.16350e6i | 0.159908 | + | 0.276969i | ||||
\(447\) | −3.36517e6 | −0.796596 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −3.66337e6 | −0.857561 | −0.428781 | − | 0.903409i | \(-0.641057\pi\) | ||||
−0.428781 | + | 0.903409i | \(0.641057\pi\) | |||||||
\(450\) | 149473. | + | 258896.i | 0.0347963 | + | 0.0602689i | ||||
\(451\) | 571492. | − | 989853.i | 0.132303 | − | 0.229155i | ||||
\(452\) | 1.82620e6 | − | 3.16307e6i | 0.420438 | − | 0.728220i | ||||
\(453\) | −389879. | − | 675291.i | −0.0892657 | − | 0.154613i | ||||
\(454\) | −258885. | −0.0589477 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.46318e6 | −0.329522 | ||||||||
\(457\) | 4.36934e6 | + | 7.56792e6i | 0.978645 | + | 1.69506i | 0.667340 | + | 0.744754i | \(0.267433\pi\) |
0.311306 | + | 0.950310i | \(0.399234\pi\) | |||||||
\(458\) | −1.50158e6 | + | 2.60081e6i | −0.334491 | + | 0.579355i | ||||
\(459\) | −528175. | + | 914825.i | −0.117016 | + | 0.202678i | ||||
\(460\) | 342487. | + | 593204.i | 0.0754656 | + | 0.130710i | ||||
\(461\) | 1.23476e6 | 0.270602 | 0.135301 | − | 0.990805i | \(-0.456800\pi\) | ||||
0.135301 | + | 0.990805i | \(0.456800\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.07764e6 | −0.884008 | −0.442004 | − | 0.897013i | \(-0.645732\pi\) | ||||
−0.442004 | + | 0.897013i | \(0.645732\pi\) | |||||||
\(464\) | −22171.8 | − | 38402.6i | −0.00478085 | − | 0.00828068i | ||||
\(465\) | 956886. | − | 1.65737e6i | 0.205224 | − | 0.355458i | ||||
\(466\) | 2.77435e6 | − | 4.80532e6i | 0.591830 | − | 1.02508i | ||||
\(467\) | −2.62510e6 | − | 4.54681e6i | −0.556999 | − | 0.964750i | −0.997745 | − | 0.0671184i | \(-0.978619\pi\) |
0.440746 | − | 0.897632i | \(-0.354714\pi\) | |||||||
\(468\) | 977917. | 0.206389 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 2.53281e6 | 0.528881 | ||||||||
\(471\) | −2.07978e6 | − | 3.60228e6i | −0.431981 | − | 0.748214i | ||||
\(472\) | −971814. | + | 1.68323e6i | −0.200784 | + | 0.347767i | ||||
\(473\) | −536878. | + | 929900.i | −0.110337 | + | 0.191110i | ||||
\(474\) | 1.77451e6 | + | 3.07354e6i | 0.362771 | + | 0.628338i | ||||
\(475\) | −2.34381e6 | −0.476639 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −783894. | −0.157747 | ||||||||
\(478\) | 321813. | + | 557397.i | 0.0644220 | + | 0.111582i | ||||
\(479\) | −843534. | + | 1.46104e6i | −0.167982 | + | 0.290954i | −0.937710 | − | 0.347418i | \(-0.887059\pi\) |
0.769728 | + | 0.638372i | \(0.220392\pi\) | |||||||
\(480\) | 216249. | − | 374553.i | 0.0428401 | − | 0.0742012i | ||||
\(481\) | −2.57682e6 | − | 4.46319e6i | −0.507834 | − | 0.879595i | ||||
\(482\) | −5.13927e6 | −1.00759 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.45444e6 | −0.476254 | ||||||||
\(485\) | 989763. | + | 1.71432e6i | 0.191063 | + | 0.330931i | ||||
\(486\) | 118098. | − | 204552.i | 0.0226805 | − | 0.0392837i | ||||
\(487\) | −2.19760e6 | + | 3.80635e6i | −0.419881 | + | 0.727255i | −0.995927 | − | 0.0901621i | \(-0.971261\pi\) |
0.576046 | + | 0.817417i | \(0.304595\pi\) | |||||||
\(488\) | −23439.1 | − | 40597.8i | −0.00445545 | − | 0.00771707i | ||||
\(489\) | −5.48129e6 | −1.03660 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.13582e6 | 0.399817 | 0.199909 | − | 0.979815i | \(-0.435935\pi\) | ||||
0.199909 | + | 0.979815i | \(0.435935\pi\) | |||||||
\(492\) | 940987. | + | 1.62984e6i | 0.175255 | + | 0.303551i | ||||
\(493\) | 125499. | − | 217371.i | 0.0232554 | − | 0.0402795i | ||||
\(494\) | −3.83355e6 | + | 6.63991e6i | −0.706780 | + | 1.22418i | ||||
\(495\) | 166220. | + | 287902.i | 0.0304910 | + | 0.0528119i | ||||
\(496\) | 1.15997e6 | 0.211711 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −3.16054e6 | −0.571067 | ||||||||
\(499\) | 967196. | + | 1.67523e6i | 0.173885 | + | 0.301178i | 0.939775 | − | 0.341794i | \(-0.111034\pi\) |
−0.765890 | + | 0.642972i | \(0.777701\pi\) | |||||||
\(500\) | 1.51962e6 | − | 2.63207e6i | 0.271839 | − | 0.470838i | ||||
\(501\) | −575037. | + | 995993.i | −0.102353 | + | 0.177281i | ||||
\(502\) | 962622. | + | 1.66731e6i | 0.170489 | + | 0.295296i | ||||
\(503\) | 9.47334e6 | 1.66949 | 0.834744 | − | 0.550639i | \(-0.185616\pi\) | ||||
0.834744 | + | 0.550639i | \(0.185616\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.37559e6 | 1.46146 | ||||||||
\(506\) | −159563. | − | 276371.i | −0.0277048 | − | 0.0479862i | ||||
\(507\) | 891343. | − | 1.54385e6i | 0.154002 | − | 0.266738i | ||||
\(508\) | 2.74812e6 | − | 4.75988e6i | 0.472472 | − | 0.818346i | ||||
\(509\) | 5.27947e6 | + | 9.14431e6i | 0.903225 | + | 1.56443i | 0.823282 | + | 0.567632i | \(0.192140\pi\) |
0.0799428 | + | 0.996799i | \(0.474526\pi\) | |||||||
\(510\) | 2.44807e6 | 0.416771 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 262144. | 0.0441942 | ||||||||
\(513\) | 925917. | + | 1.60373e6i | 0.155338 | + | 0.269054i | ||||
\(514\) | −66177.3 | + | 114622.i | −0.0110484 | + | 0.0191365i | ||||
\(515\) | −826563. | + | 1.43165e6i | −0.137328 | + | 0.237858i | ||||
\(516\) | −883994. | − | 1.53112e6i | −0.146159 | − | 0.253154i | ||||
\(517\) | −1.18002e6 | −0.194162 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.28285e6 | 0.209054 | ||||||||
\(520\) | −1.13315e6 | − | 1.96267e6i | −0.183772 | − | 0.318302i | ||||
\(521\) | 3.76595e6 | − | 6.52282e6i | 0.607827 | − | 1.05279i | −0.383770 | − | 0.923429i | \(-0.625375\pi\) |
0.991598 | − | 0.129359i | \(-0.0412921\pi\) | |||||||
\(522\) | −28061.1 | + | 48603.3i | −0.00450743 | + | 0.00780710i | ||||
\(523\) | 3.66658e6 | + | 6.35071e6i | 0.586148 | + | 1.01524i | 0.994731 | + | 0.102517i | \(0.0326896\pi\) |
−0.408583 | + | 0.912721i | \(0.633977\pi\) | |||||||
\(524\) | −5.78035e6 | −0.919657 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.78480e6 | 0.281271 | ||||||||
\(527\) | 3.28289e6 | + | 5.68614e6i | 0.514909 | + | 0.891848i | ||||
\(528\) | −100749. | + | 174503.i | −0.0157274 | + | 0.0272406i | ||||
\(529\) | 2.80207e6 | − | 4.85333e6i | 0.435352 | − | 0.754051i | ||||
\(530\) | 908329. | + | 1.57327e6i | 0.140460 | + | 0.243284i | ||||
\(531\) | 2.45990e6 | 0.378601 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 9.86162e6 | 1.50359 | ||||||||
\(534\) | −1.24380e6 | − | 2.15432e6i | −0.188754 | − | 0.326932i | ||||
\(535\) | −2.11088e6 | + | 3.65616e6i | −0.318845 | + | 0.552256i | ||||
\(536\) | −1.48480e6 | + | 2.57174e6i | −0.223231 | + | 0.386648i | ||||
\(537\) | −1.33485e6 | − | 2.31204e6i | −0.199755 | − | 0.345986i | ||||
\(538\) | −7.79415e6 | −1.16095 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −547379. | −0.0807800 | ||||||||
\(541\) | 6.29893e6 | + | 1.09101e7i | 0.925281 | + | 1.60263i | 0.791109 | + | 0.611676i | \(0.209504\pi\) |
0.134173 | + | 0.990958i | \(0.457162\pi\) | |||||||
\(542\) | 193746. | − | 335578.i | 0.0283292 | − | 0.0490676i | ||||
\(543\) | −1.24944e6 | + | 2.16410e6i | −0.181851 | + | 0.314976i | ||||
\(544\) | 741908. | + | 1.28502e6i | 0.107486 | + | 0.186172i | ||||
\(545\) | 8.68197e6 | 1.25206 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.21767e6 | −0.602704 | −0.301352 | − | 0.953513i | \(-0.597438\pi\) | ||||
−0.301352 | + | 0.953513i | \(0.597438\pi\) | |||||||
\(548\) | 2.43702e6 | + | 4.22104e6i | 0.346663 | + | 0.600437i | ||||
\(549\) | −29665.1 | + | 51381.5i | −0.00420064 | + | 0.00727572i | ||||
\(550\) | −161387. | + | 279530.i | −0.0227489 | + | 0.0394023i | ||||
\(551\) | −220006. | − | 381062.i | −0.0308713 | − | 0.0534707i | ||||
\(552\) | 525455. | 0.0733986 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 6.54715e6 | 0.906312 | ||||||||
\(555\) | 1.44235e6 | + | 2.49823e6i | 0.198764 | + | 0.344270i | ||||
\(556\) | −1.03790e6 | + | 1.79769e6i | −0.142386 | + | 0.246619i | ||||
\(557\) | 4.78265e6 | − | 8.28379e6i | 0.653176 | − | 1.13133i | −0.329171 | − | 0.944270i | \(-0.606769\pi\) |
0.982348 | − | 0.187064i | \(-0.0598972\pi\) | |||||||
\(558\) | −734044. | − | 1.27140e6i | −0.0998013 | − | 0.172861i | ||||
\(559\) | −9.26432e6 | −1.25396 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.14054e6 | −0.153005 | ||||||||
\(562\) | 3.59116e6 | + | 6.22008e6i | 0.479617 | + | 0.830721i | ||||
\(563\) | 4.69593e6 | − | 8.13359e6i | 0.624382 | − | 1.08146i | −0.364278 | − | 0.931290i | \(-0.618684\pi\) |
0.988660 | − | 0.150172i | \(-0.0479826\pi\) | |||||||
\(564\) | 971481. | − | 1.68266e6i | 0.128599 | − | 0.222740i | ||||
\(565\) | 5.35635e6 | + | 9.27747e6i | 0.705908 | + | 1.22267i | ||||
\(566\) | −5.12190e6 | −0.672032 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −210905. | −0.0274294 | ||||||||
\(569\) | −5.19337e6 | − | 8.99517e6i | −0.672463 | − | 1.16474i | −0.977204 | − | 0.212304i | \(-0.931903\pi\) |
0.304741 | − | 0.952435i | \(-0.401430\pi\) | |||||||
\(570\) | 2.14579e6 | − | 3.71662e6i | 0.276631 | − | 0.479138i | ||||
\(571\) | −2.21480e6 | + | 3.83614e6i | −0.284279 | + | 0.492385i | −0.972434 | − | 0.233178i | \(-0.925087\pi\) |
0.688155 | + | 0.725563i | \(0.258421\pi\) | |||||||
\(572\) | 527929. | + | 914400.i | 0.0674661 | + | 0.116855i | ||||
\(573\) | 2.18326e6 | 0.277791 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 841709. | 0.106168 | ||||||||
\(576\) | −165888. | − | 287326.i | −0.0208333 | − | 0.0360844i | ||||
\(577\) | 6.00910e6 | − | 1.04081e7i | 0.751398 | − | 1.30146i | −0.195747 | − | 0.980654i | \(-0.562713\pi\) |
0.947145 | − | 0.320805i | \(-0.103953\pi\) | |||||||
\(578\) | −1.35971e6 | + | 2.35509e6i | −0.169289 | + | 0.293217i | ||||
\(579\) | −2.61686e6 | − | 4.53254e6i | −0.324403 | − | 0.561882i | ||||
\(580\) | 130062. | 0.0160539 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 1.51853e6 | 0.185830 | ||||||||
\(583\) | −423186. | − | 732979.i | −0.0515656 | − | 0.0893142i | ||||
\(584\) | −327622. | + | 567458.i | −0.0397503 | + | 0.0688496i | ||||
\(585\) | −1.43414e6 | + | 2.48401e6i | −0.173262 | + | 0.300098i | ||||
\(586\) | 661628. | + | 1.14597e6i | 0.0795921 | + | 0.137858i | ||||
\(587\) | 6.97624e6 | 0.835653 | 0.417826 | − | 0.908527i | \(-0.362792\pi\) | ||||
0.417826 | + | 0.908527i | \(0.362792\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.15102e7 | 1.36708 | ||||||||
\(590\) | −2.85039e6 | − | 4.93701e6i | −0.337112 | − | 0.583894i | ||||
\(591\) | 3.37012e6 | − | 5.83722e6i | 0.396896 | − | 0.687444i | ||||
\(592\) | −874234. | + | 1.51422e6i | −0.102524 | + | 0.177576i | ||||
\(593\) | 890739. | + | 1.54281e6i | 0.104019 | + | 0.180167i | 0.913337 | − | 0.407204i | \(-0.133496\pi\) |
−0.809318 | + | 0.587371i | \(0.800163\pi\) | |||||||
\(594\) | 255021. | 0.0296558 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 5.98253e6 | 0.689873 | ||||||||
\(597\) | −3.26562e6 | − | 5.65622e6i | −0.374998 | − | 0.649516i | ||||
\(598\) | 1.37670e6 | − | 2.38452e6i | 0.157430 | − | 0.272676i | ||||
\(599\) | −801823. | + | 1.38880e6i | −0.0913085 | + | 0.158151i | −0.908062 | − | 0.418836i | \(-0.862438\pi\) |
0.816753 | + | 0.576987i | \(0.195772\pi\) | |||||||
\(600\) | −265730. | − | 460259.i | −0.0301344 | − | 0.0521944i | ||||
\(601\) | −1.51165e7 | −1.70712 | −0.853562 | − | 0.520991i | \(-0.825562\pi\) | ||||
−0.853562 | + | 0.520991i | \(0.825562\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.75839e6 | 0.420929 | ||||||||
\(604\) | 693119. | + | 1.20052e6i | 0.0773064 | + | 0.133899i | ||||
\(605\) | 3.59951e6 | − | 6.23453e6i | 0.399811 | − | 0.692493i | ||||
\(606\) | 3.21253e6 | − | 5.56427e6i | 0.355358 | − | 0.615498i | ||||
\(607\) | −5.25833e6 | − | 9.10769e6i | −0.579263 | − | 1.00331i | −0.995564 | − | 0.0940863i | \(-0.970007\pi\) |
0.416301 | − | 0.909227i | \(-0.363326\pi\) | |||||||
\(608\) | 2.60120e6 | 0.285375 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 137497. | 0.0149612 | ||||||||
\(611\) | −5.09060e6 | − | 8.81718e6i | −0.551653 | − | 0.955491i | ||||
\(612\) | 938977. | − | 1.62636e6i | 0.101339 | − | 0.175524i | ||||
\(613\) | −1.35649e6 | + | 2.34951e6i | −0.145802 | + | 0.252537i | −0.929672 | − | 0.368388i | \(-0.879910\pi\) |
0.783870 | + | 0.620925i | \(0.213243\pi\) | |||||||
\(614\) | −1.10818e6 | − | 1.91942e6i | −0.118628 | − | 0.205470i | ||||
\(615\) | −5.51994e6 | −0.588500 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1.14961e7 | 1.21573 | 0.607864 | − | 0.794041i | \(-0.292026\pi\) | ||||
0.607864 | + | 0.794041i | \(0.292026\pi\) | |||||||
\(618\) | 634071. | + | 1.09824e6i | 0.0667831 | + | 0.115672i | ||||
\(619\) | −5.49749e6 | + | 9.52194e6i | −0.576684 | + | 0.998846i | 0.419172 | + | 0.907907i | \(0.362320\pi\) |
−0.995856 | + | 0.0909396i | \(0.971013\pi\) | |||||||
\(620\) | −1.70113e6 | + | 2.94644e6i | −0.177729 | + | 0.307836i | ||||
\(621\) | −332514. | − | 575932.i | −0.0346004 | − | 0.0599297i | ||||
\(622\) | 7.03702e6 | 0.729312 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −1.73852e6 | −0.178738 | ||||||||
\(625\) | 3.01547e6 | + | 5.22294e6i | 0.308784 | + | 0.534829i | ||||
\(626\) | −4.67639e6 | + | 8.09974e6i | −0.476952 | + | 0.826105i | ||||
\(627\) | −999714. | + | 1.73156e6i | −0.101556 | + | 0.175901i | ||||
\(628\) | 3.69739e6 | + | 6.40406e6i | 0.374107 | + | 0.647972i | ||||
\(629\) | −9.89687e6 | −0.997405 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.19503e6 | −0.419432 | −0.209716 | − | 0.977762i | \(-0.567254\pi\) | ||||
−0.209716 | + | 0.977762i | \(0.567254\pi\) | |||||||
\(632\) | −3.15469e6 | − | 5.46408e6i | −0.314169 | − | 0.544157i | ||||
\(633\) | 3.66623e6 | − | 6.35010e6i | 0.363672 | − | 0.629899i | ||||
\(634\) | 1.93478e6 | − | 3.35114e6i | 0.191165 | − | 0.331108i | ||||
\(635\) | 8.06039e6 | + | 1.39610e7i | 0.793271 | + | 1.37399i | ||||
\(636\) | 1.39359e6 | 0.136613 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −60595.3 | −0.00589369 | ||||||||
\(639\) | 133463. | + | 231165.i | 0.0129303 | + | 0.0223960i | ||||
\(640\) | −384442. | + | 665873.i | −0.0371006 | + | 0.0642601i | ||||
\(641\) | 5.31352e6 | − | 9.20329e6i | 0.510784 | − | 0.884704i | −0.489138 | − | 0.872207i | \(-0.662688\pi\) |
0.999922 | − | 0.0124978i | \(-0.00397826\pi\) | |||||||
\(642\) | 1.61930e6 | + | 2.80470e6i | 0.155056 | + | 0.268565i | ||||
\(643\) | 1.54228e6 | 0.147108 | 0.0735538 | − | 0.997291i | \(-0.476566\pi\) | ||||
0.0735538 | + | 0.997291i | \(0.476566\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 5.18561e6 | 0.490795 | ||||||||
\(646\) | 7.36181e6 | + | 1.27510e7i | 0.694070 | + | 1.20216i | ||||
\(647\) | 6.40851e6 | − | 1.10999e7i | 0.601861 | − | 1.04245i | −0.390678 | − | 0.920527i | \(-0.627759\pi\) |
0.992539 | − | 0.121926i | \(-0.0389072\pi\) | |||||||
\(648\) | −209952. | + | 363648.i | −0.0196419 | + | 0.0340207i | ||||
\(649\) | 1.32798e6 | + | 2.30013e6i | 0.123760 | + | 0.214359i | ||||
\(650\) | −2.78488e6 | −0.258537 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 9.74452e6 | 0.897721 | ||||||||
\(653\) | 1.42275e6 | + | 2.46427e6i | 0.130570 | + | 0.226155i | 0.923897 | − | 0.382642i | \(-0.124986\pi\) |
−0.793326 | + | 0.608797i | \(0.791652\pi\) | |||||||
\(654\) | 3.33004e6 | − | 5.76780e6i | 0.304443 | − | 0.527310i | ||||
\(655\) | 8.47705e6 | − | 1.46827e7i | 0.772043 | − | 1.33722i | ||||
\(656\) | −1.67287e6 | − | 2.89749e6i | −0.151775 | − | 0.262883i | ||||
\(657\) | 829293. | 0.0749540 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.04185e7 | −1.83151 | −0.915755 | − | 0.401736i | \(-0.868407\pi\) | ||||
−0.915755 | + | 0.401736i | \(0.868407\pi\) | |||||||
\(660\) | −295503. | − | 511826.i | −0.0264060 | − | 0.0457365i | ||||
\(661\) | −1.09464e7 | + | 1.89597e7i | −0.974467 | + | 1.68783i | −0.292786 | + | 0.956178i | \(0.594582\pi\) |
−0.681681 | + | 0.731649i | \(0.738751\pi\) | |||||||
\(662\) | 655617. | − | 1.13556e6i | 0.0581440 | − | 0.100708i | ||||
\(663\) | −4.92028e6 | − | 8.52217e6i | −0.434716 | − | 0.752950i | ||||
\(664\) | 5.61873e6 | 0.494559 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.21291e6 | 0.193320 | ||||||||
\(667\) | 79008.4 | + | 136847.i | 0.00687636 | + | 0.0119102i | ||||
\(668\) | 1.02229e6 | − | 1.77065e6i | 0.0886405 | − | 0.153530i | ||||
\(669\) | −1.51143e6 | + | 2.61788e6i | −0.130564 | + | 0.226144i | ||||
\(670\) | −4.35500e6 | − | 7.54308e6i | −0.374801 | − | 0.649175i | ||||
\(671\) | −64059.0 | −0.00549255 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −992084. | −0.0844327 | −0.0422164 | − | 0.999108i | \(-0.513442\pi\) | ||||
−0.0422164 | + | 0.999108i | \(0.513442\pi\) | |||||||
\(674\) | −2.68104e6 | − | 4.64370e6i | −0.227329 | − | 0.393745i | ||||
\(675\) | −336315. | + | 582515.i | −0.0284110 | + | 0.0492094i | ||||
\(676\) | −1.58461e6 | + | 2.74462e6i | −0.133369 | + | 0.231002i | ||||
\(677\) | 3.91748e6 | + | 6.78528e6i | 0.328500 | + | 0.568979i | 0.982214 | − | 0.187763i | \(-0.0601235\pi\) |
−0.653714 | + | 0.756741i | \(0.726790\pi\) | |||||||
\(678\) | 8.21790e6 | 0.686573 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −4.35212e6 | −0.360935 | ||||||||
\(681\) | −291245. | − | 504452.i | −0.0240653 | − | 0.0416823i | ||||
\(682\) | 792548. | − | 1.37273e6i | 0.0652476 | − | 0.113012i | ||||
\(683\) | 3.70591e6 | − | 6.41883e6i | 0.303979 | − | 0.526507i | −0.673055 | − | 0.739593i | \(-0.735018\pi\) |
0.977033 | + | 0.213086i | \(0.0683515\pi\) | |||||||
\(684\) | −1.64607e6 | − | 2.85108e6i | −0.134527 | − | 0.233007i | ||||
\(685\) | −1.42958e7 | −1.16408 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −6.75710e6 | −0.546221 | ||||||||
\(688\) | 1.57154e6 | + | 2.72199e6i | 0.126577 | + | 0.219238i | ||||
\(689\) | 3.65123e6 | − | 6.32412e6i | 0.293016 | − | 0.507519i | ||||
\(690\) | −770595. | + | 1.33471e6i | −0.0616174 | + | 0.106724i | ||||
\(691\) | −5.02584e6 | − | 8.70502e6i | −0.400418 | − | 0.693545i | 0.593358 | − | 0.804939i | \(-0.297802\pi\) |
−0.993776 | + | 0.111394i | \(0.964468\pi\) | |||||||
\(692\) | −2.28063e6 | −0.181046 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.41350e7 | −1.11403 | ||||||||
\(695\) | −3.04421e6 | − | 5.27272e6i | −0.239063 | − | 0.414069i | ||||
\(696\) | 49886.5 | − | 86405.9i | 0.00390355 | − | 0.00676114i | ||||
\(697\) | 9.46894e6 | − | 1.64007e7i | 0.738277 | − | 1.27873i | ||||
\(698\) | −7.96215e6 | − | 1.37908e7i | −0.618574 | − | 1.07140i | ||||
\(699\) | 1.24846e7 | 0.966455 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.59518e7 | 1.22607 | 0.613034 | − | 0.790057i | \(-0.289949\pi\) | ||||
0.613034 | + | 0.790057i | \(0.289949\pi\) | |||||||
\(702\) | 1.10016e6 | + | 1.90553e6i | 0.0842581 | + | 0.145939i | ||||
\(703\) | −8.67486e6 | + | 1.50253e7i | −0.662024 | + | 1.14666i | ||||
\(704\) | 179110. | − | 310227.i | 0.0136203 | − | 0.0235911i | ||||
\(705\) | 2.84941e6 | + | 4.93533e6i | 0.215915 | + | 0.373975i | ||||
\(706\) | −177116. | −0.0133736 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −4.37316e6 | −0.327878 | ||||||||
\(709\) | 1.91312e6 | + | 3.31361e6i | 0.142931 | + | 0.247563i | 0.928599 | − | 0.371085i | \(-0.121014\pi\) |
−0.785668 | + | 0.618648i | \(0.787681\pi\) | |||||||
\(710\) | 309299. | − | 535721.i | 0.0230267 | − | 0.0398834i | ||||
\(711\) | −3.99265e6 | + | 6.91548e6i | −0.296202 | + | 0.513036i | ||||
\(712\) | 2.21119e6 | + | 3.82990e6i | 0.163466 | + | 0.283131i | ||||
\(713\) | −4.13352e6 | −0.304506 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.09690e6 | −0.226549 | ||||||||
\(716\) | 2.37308e6 | + | 4.11029e6i | 0.172993 | + | 0.299633i | ||||
\(717\) | −724080. | + | 1.25414e6i | −0.0526003 | + | 0.0911064i | ||||
\(718\) | 3.50228e6 | − | 6.06612e6i | 0.253536 | − | 0.439137i | ||||
\(719\) | −3.96365e6 | − | 6.86525e6i | −0.285939 | − | 0.495261i | 0.686897 | − | 0.726754i | \(-0.258972\pi\) |
−0.972836 | + | 0.231493i | \(0.925639\pi\) | |||||||
\(720\) | 973118. | 0.0699575 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 1.59068e7 | 1.13564 | ||||||||
\(723\) | −5.78167e6 | − | 1.00142e7i | −0.411347 | − | 0.712473i | ||||
\(724\) | 2.22123e6 | − | 3.84728e6i | 0.157488 | − | 0.272777i | ||||
\(725\) | 79911.5 | − | 138411.i | 0.00564630 | − | 0.00977968i | ||||
\(726\) | −2.76124e6 | − | 4.78262e6i | −0.194430 | − | 0.336763i | ||||
\(727\) | −3.24519e6 | −0.227722 | −0.113861 | − | 0.993497i | \(-0.536322\pi\) | ||||
−0.113861 | + | 0.993497i | \(0.536322\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 531441. | 0.0370370 | ||||||||
\(730\) | −960934. | − | 1.66439e6i | −0.0667400 | − | 0.115597i | ||||
\(731\) | −8.89542e6 | + | 1.54073e7i | −0.615706 | + | 1.06643i | ||||
\(732\) | 52738.0 | − | 91344.9i | 0.00363786 | − | 0.00630096i | ||||
\(733\) | 2.98840e6 | + | 5.17605e6i | 0.205437 | + | 0.355827i | 0.950272 | − | 0.311422i | \(-0.100805\pi\) |
−0.744835 | + | 0.667249i | \(0.767472\pi\) | |||||||
\(734\) | 1.58846e7 | 1.08827 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −934142. | −0.0635650 | ||||||||
\(737\) | 2.02897e6 | + | 3.51428e6i | 0.137596 | + | 0.238324i | ||||
\(738\) | −2.11722e6 | + | 3.66713e6i | −0.143095 | + | 0.247848i | ||||
\(739\) | 1.30032e6 | − | 2.25222e6i | 0.0875870 | − | 0.151705i | −0.818904 | − | 0.573931i | \(-0.805418\pi\) |
0.906491 | + | 0.422226i | \(0.138751\pi\) | |||||||
\(740\) | −2.56418e6 | − | 4.44129e6i | −0.172135 | − | 0.298147i | ||||
\(741\) | −1.72510e7 | −1.15417 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −2.29585e7 | −1.52571 | −0.762854 | − | 0.646571i | \(-0.776203\pi\) | ||||
−0.762854 | + | 0.646571i | \(0.776203\pi\) | |||||||
\(744\) | 1.30497e6 | + | 2.26027e6i | 0.0864305 | + | 0.149702i | ||||
\(745\) | −8.77355e6 | + | 1.51962e7i | −0.579141 | + | 1.00310i | ||||
\(746\) | −4.47920e6 | + | 7.75820e6i | −0.294682 | + | 0.510404i | ||||
\(747\) | −3.55560e6 | − | 6.15848e6i | −0.233137 | − | 0.403806i | ||||
\(748\) | 2.02763e6 | 0.132506 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 6.83831e6 | 0.443911 | ||||||||
\(751\) | −2.30159e6 | − | 3.98647e6i | −0.148911 | − | 0.257922i | 0.781914 | − | 0.623386i | \(-0.214244\pi\) |
−0.930825 | + | 0.365464i | \(0.880910\pi\) | |||||||
\(752\) | −1.72708e6 | + | 2.99139e6i | −0.111370 | + | 0.192898i | ||||
\(753\) | −2.16590e6 | + | 3.75145e6i | −0.139204 | + | 0.241108i | ||||
\(754\) | −261407. | − | 452770.i | −0.0167451 | − | 0.0290034i | ||||
\(755\) | −4.06591e6 | −0.259592 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.78695e6 | 0.303612 | 0.151806 | − | 0.988410i | \(-0.451491\pi\) | ||||
0.151806 | + | 0.988410i | \(0.451491\pi\) | |||||||
\(758\) | 8.50843e6 | + | 1.47370e7i | 0.537869 | + | 0.931616i | ||||
\(759\) | 359016. | − | 621835.i | 0.0226209 | − | 0.0391805i | ||||
\(760\) | −3.81474e6 | + | 6.60733e6i | −0.239569 | + | 0.414946i | ||||
\(761\) | −1.14221e7 | − | 1.97836e7i | −0.714962 | − | 1.23835i | −0.962974 | − | 0.269593i | \(-0.913111\pi\) |
0.248013 | − | 0.968757i | \(-0.420223\pi\) | |||||||
\(762\) | 1.23665e7 | 0.771544 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −3.88135e6 | −0.240574 | ||||||||
\(765\) | 2.75408e6 | + | 4.77020e6i | 0.170146 | + | 0.294702i | ||||
\(766\) | −3.23767e6 | + | 5.60780e6i | −0.199370 | + | 0.345319i | ||||
\(767\) | −1.14578e7 | + | 1.98454e7i | −0.703253 | + | 1.21807i | ||||
\(768\) | 294912. | + | 510803.i | 0.0180422 | + | 0.0312500i | ||||
\(769\) | −1.02787e7 | −0.626793 | −0.313397 | − | 0.949622i | \(-0.601467\pi\) | ||||
−0.313397 | + |