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: | \( 7^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 67.1 | ||
Root | \(-0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 294.67 |
Dual form | 294.6.e.x.79.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(199\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 | ||||
\(5\) | −51.7487 | − | 89.6314i | −0.925710 | − | 1.60338i | −0.790416 | − | 0.612570i | \(-0.790136\pi\) |
−0.135294 | − | 0.990806i | \(-0.543198\pi\) | |||||||
\(6\) | −36.0000 | −0.408248 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −64.0000 | −0.353553 | ||||||||
\(9\) | −40.5000 | − | 70.1481i | −0.166667 | − | 0.288675i | ||||
\(10\) | 206.995 | − | 358.526i | 0.654576 | − | 1.13376i | ||||
\(11\) | −120.095 | + | 208.011i | −0.299257 | + | 0.518329i | −0.975966 | − | 0.217922i | \(-0.930072\pi\) |
0.676709 | + | 0.736251i | \(0.263406\pi\) | |||||||
\(12\) | −72.0000 | − | 124.708i | −0.144338 | − | 0.250000i | ||||
\(13\) | 805.477 | 1.32189 | 0.660944 | − | 0.750435i | \(-0.270156\pi\) | ||||
0.660944 | + | 0.750435i | \(0.270156\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 931.477 | 1.06892 | ||||||||
\(16\) | −128.000 | − | 221.703i | −0.125000 | − | 0.216506i | ||||
\(17\) | 646.633 | − | 1120.00i | 0.542670 | − | 0.939932i | −0.456080 | − | 0.889939i | \(-0.650747\pi\) |
0.998750 | − | 0.0499927i | \(-0.0159198\pi\) | |||||||
\(18\) | 162.000 | − | 280.592i | 0.117851 | − | 0.204124i | ||||
\(19\) | 137.688 | + | 238.483i | 0.0875011 | + | 0.151556i | 0.906454 | − | 0.422304i | \(-0.138779\pi\) |
−0.818953 | + | 0.573860i | \(0.805445\pi\) | |||||||
\(20\) | 1655.96 | 0.925710 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −960.764 | −0.423214 | ||||||||
\(23\) | −1898.29 | − | 3287.93i | −0.748242 | − | 1.29599i | −0.948665 | − | 0.316284i | \(-0.897565\pi\) |
0.200423 | − | 0.979710i | \(-0.435769\pi\) | |||||||
\(24\) | 288.000 | − | 498.831i | 0.102062 | − | 0.176777i | ||||
\(25\) | −3793.36 | + | 6570.30i | −1.21388 | + | 2.10250i | ||||
\(26\) | 1610.95 | + | 2790.26i | 0.467358 | + | 0.809488i | ||||
\(27\) | 729.000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1227.52 | 0.271040 | 0.135520 | − | 0.990775i | \(-0.456730\pi\) | ||||
0.135520 | + | 0.990775i | \(0.456730\pi\) | |||||||
\(30\) | 1862.95 | + | 3226.73i | 0.377919 | + | 0.654576i | ||||
\(31\) | −2812.43 | + | 4871.27i | −0.525627 | + | 0.910413i | 0.473927 | + | 0.880564i | \(0.342836\pi\) |
−0.999554 | + | 0.0298489i | \(0.990497\pi\) | |||||||
\(32\) | 512.000 | − | 886.810i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −1080.86 | − | 1872.10i | −0.172776 | − | 0.299257i | ||||
\(34\) | 5173.06 | 0.767451 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1296.00 | 0.166667 | ||||||||
\(37\) | 4539.25 | + | 7862.20i | 0.545104 | + | 0.944148i | 0.998600 | + | 0.0528897i | \(0.0168432\pi\) |
−0.453496 | + | 0.891258i | \(0.649824\pi\) | |||||||
\(38\) | −550.754 | + | 953.933i | −0.0618726 | + | 0.107166i | ||||
\(39\) | −3624.65 | + | 6278.07i | −0.381596 | + | 0.660944i | ||||
\(40\) | 3311.92 | + | 5736.41i | 0.327288 | + | 0.566879i | ||||
\(41\) | −18207.4 | −1.69156 | −0.845782 | − | 0.533528i | \(-0.820866\pi\) | ||||
−0.845782 | + | 0.533528i | \(0.820866\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −11708.2 | −0.965650 | −0.482825 | − | 0.875717i | \(-0.660389\pi\) | ||||
−0.482825 | + | 0.875717i | \(0.660389\pi\) | |||||||
\(44\) | −1921.53 | − | 3328.18i | −0.149629 | − | 0.259164i | ||||
\(45\) | −4191.65 | + | 7260.15i | −0.308570 | + | 0.534459i | ||||
\(46\) | 7593.15 | − | 13151.7i | 0.529087 | − | 0.916406i | ||||
\(47\) | 11524.3 | + | 19960.7i | 0.760974 | + | 1.31805i | 0.942349 | + | 0.334632i | \(0.108612\pi\) |
−0.181375 | + | 0.983414i | \(0.558055\pi\) | |||||||
\(48\) | 2304.00 | 0.144338 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −30346.9 | −1.71668 | ||||||||
\(51\) | 5819.70 | + | 10080.0i | 0.313311 | + | 0.542670i | ||||
\(52\) | −6443.82 | + | 11161.0i | −0.330472 | + | 0.572395i | ||||
\(53\) | −8831.40 | + | 15296.4i | −0.431857 | + | 0.747998i | −0.997033 | − | 0.0769720i | \(-0.975475\pi\) |
0.565176 | + | 0.824970i | \(0.308808\pi\) | |||||||
\(54\) | 1458.00 | + | 2525.33i | 0.0680414 | + | 0.117851i | ||||
\(55\) | 24859.2 | 1.10810 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2478.39 | −0.101038 | ||||||||
\(58\) | 2455.04 | + | 4252.25i | 0.0958270 | + | 0.165977i | ||||
\(59\) | −9188.15 | + | 15914.3i | −0.343636 | + | 0.595194i | −0.985105 | − | 0.171954i | \(-0.944992\pi\) |
0.641469 | + | 0.767149i | \(0.278325\pi\) | |||||||
\(60\) | −7451.82 | + | 12906.9i | −0.267229 | + | 0.462855i | ||||
\(61\) | −5662.04 | − | 9806.95i | −0.194827 | − | 0.337450i | 0.752017 | − | 0.659144i | \(-0.229081\pi\) |
−0.946844 | + | 0.321694i | \(0.895748\pi\) | |||||||
\(62\) | −22499.5 | −0.743349 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4096.00 | 0.125000 | ||||||||
\(65\) | −41682.4 | − | 72196.1i | −1.22369 | − | 2.11948i | ||||
\(66\) | 4323.44 | − | 7488.41i | 0.122171 | − | 0.211607i | ||||
\(67\) | −18039.7 | + | 31245.6i | −0.490955 | + | 0.850359i | −0.999946 | − | 0.0104130i | \(-0.996685\pi\) |
0.508991 | + | 0.860772i | \(0.330019\pi\) | |||||||
\(68\) | 10346.1 | + | 17920.0i | 0.271335 | + | 0.469966i | ||||
\(69\) | 34169.2 | 0.863996 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −63434.2 | −1.49341 | −0.746703 | − | 0.665158i | \(-0.768364\pi\) | ||||
−0.746703 | + | 0.665158i | \(0.768364\pi\) | |||||||
\(72\) | 2592.00 | + | 4489.48i | 0.0589256 | + | 0.102062i | ||||
\(73\) | 26491.2 | − | 45884.1i | 0.581828 | − | 1.00776i | −0.413435 | − | 0.910534i | \(-0.635671\pi\) |
0.995263 | − | 0.0972215i | \(-0.0309955\pi\) | |||||||
\(74\) | −18157.0 | + | 31448.8i | −0.385447 | + | 0.667613i | ||||
\(75\) | −34140.3 | − | 59132.7i | −0.700832 | − | 1.21388i | ||||
\(76\) | −4406.03 | −0.0875011 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −28997.2 | −0.539659 | ||||||||
\(79\) | 24282.0 | + | 42057.7i | 0.437741 | + | 0.758189i | 0.997515 | − | 0.0704561i | \(-0.0224455\pi\) |
−0.559774 | + | 0.828645i | \(0.689112\pi\) | |||||||
\(80\) | −13247.7 | + | 22945.6i | −0.231427 | + | 0.400844i | ||||
\(81\) | −3280.50 | + | 5681.99i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −36414.8 | − | 63072.3i | −0.598058 | − | 1.03587i | ||||
\(83\) | 113161. | 1.80303 | 0.901513 | − | 0.432753i | \(-0.142458\pi\) | ||||
0.901513 | + | 0.432753i | \(0.142458\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −133850. | −2.00942 | ||||||||
\(86\) | −23416.4 | − | 40558.5i | −0.341409 | − | 0.591337i | ||||
\(87\) | −5523.83 | + | 9567.56i | −0.0782424 | + | 0.135520i | ||||
\(88\) | 7686.11 | − | 13312.7i | 0.105803 | − | 0.183257i | ||||
\(89\) | −54182.9 | − | 93847.6i | −0.725083 | − | 1.25588i | −0.958940 | − | 0.283609i | \(-0.908468\pi\) |
0.233857 | − | 0.972271i | \(-0.424865\pi\) | |||||||
\(90\) | −33533.2 | −0.436384 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 60745.2 | 0.748242 | ||||||||
\(93\) | −25311.9 | − | 43841.5i | −0.303471 | − | 0.525627i | ||||
\(94\) | −46097.2 | + | 79842.7i | −0.538090 | + | 0.931999i | ||||
\(95\) | 14250.4 | − | 24682.4i | 0.162001 | − | 0.280594i | ||||
\(96\) | 4608.00 | + | 7981.29i | 0.0510310 | + | 0.0883883i | ||||
\(97\) | 99641.2 | 1.07525 | 0.537625 | − | 0.843184i | \(-0.319321\pi\) | ||||
0.537625 | + | 0.843184i | \(0.319321\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 19455.5 | 0.199505 | ||||||||
\(100\) | −60693.8 | − | 105125.i | −0.606938 | − | 1.05125i | ||||
\(101\) | −82599.9 | + | 143067.i | −0.805705 | + | 1.39552i | 0.110109 | + | 0.993920i | \(0.464880\pi\) |
−0.915814 | + | 0.401603i | \(0.868453\pi\) | |||||||
\(102\) | −23278.8 | + | 40320.0i | −0.221544 | + | 0.383725i | ||||
\(103\) | 53623.6 | + | 92878.8i | 0.498038 | + | 0.862628i | 0.999997 | − | 0.00226355i | \(-0.000720512\pi\) |
−0.501959 | + | 0.864891i | \(0.667387\pi\) | |||||||
\(104\) | −51550.5 | −0.467358 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −70651.2 | −0.610738 | ||||||||
\(107\) | 48711.2 | + | 84370.2i | 0.411310 | + | 0.712409i | 0.995033 | − | 0.0995431i | \(-0.0317381\pi\) |
−0.583723 | + | 0.811953i | \(0.698405\pi\) | |||||||
\(108\) | −5832.00 | + | 10101.3i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | −29653.6 | + | 51361.5i | −0.239062 | + | 0.414068i | −0.960445 | − | 0.278468i | \(-0.910173\pi\) |
0.721383 | + | 0.692536i | \(0.243507\pi\) | |||||||
\(110\) | 49718.3 | + | 86114.6i | 0.391773 | + | 0.678571i | ||||
\(111\) | −81706.4 | −0.629432 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 157268. | 1.15863 | 0.579313 | − | 0.815105i | \(-0.303321\pi\) | ||||
0.579313 | + | 0.815105i | \(0.303321\pi\) | |||||||
\(114\) | −4956.78 | − | 8585.40i | −0.0357222 | − | 0.0618726i | ||||
\(115\) | −196468. | + | 340292.i | −1.38531 | + | 2.39943i | ||||
\(116\) | −9820.15 | + | 17009.0i | −0.0677599 | + | 0.117364i | ||||
\(117\) | −32621.8 | − | 56502.7i | −0.220315 | − | 0.381596i | ||||
\(118\) | −73505.2 | −0.485974 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −59614.5 | −0.377919 | ||||||||
\(121\) | 51679.7 | + | 89511.8i | 0.320890 | + | 0.555798i | ||||
\(122\) | 22648.2 | − | 39227.8i | 0.137763 | − | 0.238613i | ||||
\(123\) | 81933.4 | − | 141913.i | 0.488313 | − | 0.845782i | ||||
\(124\) | −44998.9 | − | 77940.4i | −0.262814 | − | 0.455206i | ||||
\(125\) | 461778. | 2.64337 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −92477.3 | −0.508775 | −0.254387 | − | 0.967102i | \(-0.581874\pi\) | ||||
−0.254387 | + | 0.967102i | \(0.581874\pi\) | |||||||
\(128\) | 8192.00 | + | 14189.0i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 52687.0 | − | 91256.5i | 0.278759 | − | 0.482825i | ||||
\(130\) | 166730. | − | 288784.i | 0.865276 | − | 1.49870i | ||||
\(131\) | 36164.2 | + | 62638.2i | 0.184120 | + | 0.318905i | 0.943280 | − | 0.331999i | \(-0.107723\pi\) |
−0.759160 | + | 0.650904i | \(0.774390\pi\) | |||||||
\(132\) | 34587.5 | 0.172776 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −144317. | −0.694315 | ||||||||
\(135\) | −37724.8 | − | 65341.3i | −0.178153 | − | 0.308570i | ||||
\(136\) | −41384.5 | + | 71680.1i | −0.191863 | + | 0.332316i | ||||
\(137\) | −112831. | + | 195429.i | −0.513602 | + | 0.889585i | 0.486273 | + | 0.873807i | \(0.338356\pi\) |
−0.999876 | + | 0.0157784i | \(0.994977\pi\) | |||||||
\(138\) | 68338.3 | + | 118365.i | 0.305469 | + | 0.529087i | ||||
\(139\) | −327971. | −1.43979 | −0.719894 | − | 0.694084i | \(-0.755810\pi\) | ||||
−0.719894 | + | 0.694084i | \(0.755810\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −207437. | −0.878697 | ||||||||
\(142\) | −126868. | − | 219743.i | −0.527999 | − | 0.914521i | ||||
\(143\) | −96734.2 | + | 167548.i | −0.395585 | + | 0.685173i | ||||
\(144\) | −10368.0 | + | 17957.9i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | −63522.5 | − | 110024.i | −0.250904 | − | 0.434579i | ||||
\(146\) | 211930. | 0.822829 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −145256. | −0.545104 | ||||||||
\(149\) | −82005.4 | − | 142038.i | −0.302606 | − | 0.524128i | 0.674120 | − | 0.738622i | \(-0.264523\pi\) |
−0.976725 | + | 0.214494i | \(0.931190\pi\) | |||||||
\(150\) | 136561. | − | 236531.i | 0.495563 | − | 0.858340i | ||||
\(151\) | −31154.4 | + | 53961.0i | −0.111193 | + | 0.192592i | −0.916251 | − | 0.400604i | \(-0.868800\pi\) |
0.805059 | + | 0.593195i | \(0.202134\pi\) | |||||||
\(152\) | −8812.06 | − | 15262.9i | −0.0309363 | − | 0.0535832i | ||||
\(153\) | −104755. | −0.361780 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 582159. | 1.94631 | ||||||||
\(156\) | −57994.4 | − | 100449.i | −0.190798 | − | 0.330472i | ||||
\(157\) | 119903. | − | 207679.i | 0.388224 | − | 0.672423i | −0.603987 | − | 0.796994i | \(-0.706422\pi\) |
0.992211 | + | 0.124571i | \(0.0397555\pi\) | |||||||
\(158\) | −97128.0 | + | 168231.i | −0.309529 | + | 0.536121i | ||||
\(159\) | −79482.6 | − | 137668.i | −0.249333 | − | 0.431857i | ||||
\(160\) | −105981. | −0.327288 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −26244.0 | −0.0785674 | ||||||||
\(163\) | 218397. | + | 378275.i | 0.643841 | + | 1.11516i | 0.984568 | + | 0.175002i | \(0.0559933\pi\) |
−0.340727 | + | 0.940162i | \(0.610673\pi\) | |||||||
\(164\) | 145659. | − | 252289.i | 0.422891 | − | 0.732469i | ||||
\(165\) | −111866. | + | 193758.i | −0.319881 | + | 0.554051i | ||||
\(166\) | 226322. | + | 392001.i | 0.637466 | + | 1.10412i | ||||
\(167\) | 38846.7 | 0.107786 | 0.0538931 | − | 0.998547i | \(-0.482837\pi\) | ||||
0.0538931 | + | 0.998547i | \(0.482837\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 277501. | 0.747390 | ||||||||
\(170\) | −267700. | − | 463669.i | −0.710437 | − | 1.23051i | ||||
\(171\) | 11152.8 | − | 19317.1i | 0.0291670 | − | 0.0505188i | ||||
\(172\) | 93665.7 | − | 162234.i | 0.241412 | − | 0.418139i | ||||
\(173\) | −198139. | − | 343186.i | −0.503331 | − | 0.871795i | −0.999993 | − | 0.00385097i | \(-0.998774\pi\) |
0.496661 | − | 0.867944i | \(-0.334559\pi\) | |||||||
\(174\) | −44190.7 | −0.110652 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 61488.9 | 0.149629 | ||||||||
\(177\) | −82693.4 | − | 143229.i | −0.198398 | − | 0.343636i | ||||
\(178\) | 216732. | − | 375390.i | 0.512711 | − | 0.888041i | ||||
\(179\) | −121942. | + | 211209.i | −0.284459 | + | 0.492698i | −0.972478 | − | 0.232995i | \(-0.925147\pi\) |
0.688019 | + | 0.725693i | \(0.258481\pi\) | |||||||
\(180\) | −67066.4 | − | 116162.i | −0.154285 | − | 0.267229i | ||||
\(181\) | −299273. | −0.679002 | −0.339501 | − | 0.940606i | \(-0.610258\pi\) | ||||
−0.339501 | + | 0.940606i | \(0.610258\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 101917. | 0.224967 | ||||||||
\(184\) | 121490. | + | 210427.i | 0.264544 | + | 0.458203i | ||||
\(185\) | 469800. | − | 813718.i | 1.00922 | − | 1.74801i | ||||
\(186\) | 101248. | − | 175366.i | 0.214586 | − | 0.371675i | ||||
\(187\) | 155315. | + | 269014.i | 0.324796 | + | 0.562563i | ||||
\(188\) | −368778. | −0.760974 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 114003. | 0.229104 | ||||||||
\(191\) | 388498. | + | 672899.i | 0.770558 | + | 1.33465i | 0.937257 | + | 0.348639i | \(0.113356\pi\) |
−0.166699 | + | 0.986008i | \(0.553311\pi\) | |||||||
\(192\) | −18432.0 | + | 31925.2i | −0.0360844 | + | 0.0625000i | ||||
\(193\) | −138211. | + | 239388.i | −0.267084 | + | 0.462603i | −0.968108 | − | 0.250535i | \(-0.919393\pi\) |
0.701023 | + | 0.713138i | \(0.252727\pi\) | |||||||
\(194\) | 199282. | + | 345167.i | 0.380159 | + | 0.658454i | ||||
\(195\) | 750284. | 1.41299 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −131615. | −0.241624 | −0.120812 | − | 0.992675i | \(-0.538550\pi\) | ||||
−0.120812 | + | 0.992675i | \(0.538550\pi\) | |||||||
\(198\) | 38910.9 | + | 67395.7i | 0.0705356 | + | 0.122171i | ||||
\(199\) | −282480. | + | 489270.i | −0.505656 | + | 0.875822i | 0.494322 | + | 0.869279i | \(0.335416\pi\) |
−0.999979 | + | 0.00654355i | \(0.997917\pi\) | |||||||
\(200\) | 242775. | − | 420499.i | 0.429170 | − | 0.743344i | ||||
\(201\) | −162357. | − | 281211.i | −0.283453 | − | 0.490955i | ||||
\(202\) | −660799. | −1.13944 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −186230. | −0.313311 | ||||||||
\(205\) | 942211. | + | 1.63196e6i | 1.56590 | + | 2.71221i | ||||
\(206\) | −214494. | + | 371515.i | −0.352166 | + | 0.609970i | ||||
\(207\) | −153761. | + | 266322.i | −0.249414 | + | 0.431998i | ||||
\(208\) | −103101. | − | 178576.i | −0.165236 | − | 0.286197i | ||||
\(209\) | −66143.0 | −0.104741 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 313637. | 0.484977 | 0.242489 | − | 0.970154i | \(-0.422036\pi\) | ||||
0.242489 | + | 0.970154i | \(0.422036\pi\) | |||||||
\(212\) | −141302. | − | 244743.i | −0.215928 | − | 0.373999i | ||||
\(213\) | 285454. | − | 494421.i | 0.431109 | − | 0.746703i | ||||
\(214\) | −194845. | + | 337481.i | −0.290840 | + | 0.503750i | ||||
\(215\) | 605886. | + | 1.04942e6i | 0.893911 | + | 1.54830i | ||||
\(216\) | −46656.0 | −0.0680414 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −237229. | −0.338085 | ||||||||
\(219\) | 238421. | + | 412957.i | 0.335918 | + | 0.581828i | ||||
\(220\) | −198873. | + | 344459.i | −0.277025 | + | 0.479822i | ||||
\(221\) | 520848. | − | 902136.i | 0.717349 | − | 1.24248i | ||||
\(222\) | −163413. | − | 283039.i | −0.222538 | − | 0.385447i | ||||
\(223\) | −279483. | −0.376351 | −0.188176 | − | 0.982135i | \(-0.560257\pi\) | ||||
−0.188176 | + | 0.982135i | \(0.560257\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 614525. | 0.809251 | ||||||||
\(226\) | 314535. | + | 544791.i | 0.409636 | + | 0.709511i | ||||
\(227\) | 611754. | − | 1.05959e6i | 0.787974 | − | 1.36481i | −0.139232 | − | 0.990260i | \(-0.544463\pi\) |
0.927206 | − | 0.374551i | \(-0.122203\pi\) | |||||||
\(228\) | 19827.1 | − | 34341.6i | 0.0252594 | − | 0.0437505i | ||||
\(229\) | −127387. | − | 220641.i | −0.160523 | − | 0.278034i | 0.774533 | − | 0.632533i | \(-0.217985\pi\) |
−0.935056 | + | 0.354499i | \(0.884651\pi\) | |||||||
\(230\) | −1.57174e6 | −1.95912 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −78561.2 | −0.0958270 | ||||||||
\(233\) | −373086. | − | 646204.i | −0.450215 | − | 0.779794i | 0.548184 | − | 0.836357i | \(-0.315319\pi\) |
−0.998399 | + | 0.0565630i | \(0.981986\pi\) | |||||||
\(234\) | 130487. | − | 226011.i | 0.155786 | − | 0.269829i | ||||
\(235\) | 1.19274e6 | − | 2.06588e6i | 1.40888 | − | 2.44026i | ||||
\(236\) | −147010. | − | 254630.i | −0.171818 | − | 0.297597i | ||||
\(237\) | −437076. | −0.505459 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 321036. | 0.363546 | 0.181773 | − | 0.983341i | \(-0.441816\pi\) | ||||
0.181773 | + | 0.983341i | \(0.441816\pi\) | |||||||
\(240\) | −119229. | − | 206511.i | −0.133615 | − | 0.231427i | ||||
\(241\) | −621268. | + | 1.07607e6i | −0.689027 | + | 1.19343i | 0.283125 | + | 0.959083i | \(0.408629\pi\) |
−0.972153 | + | 0.234348i | \(0.924705\pi\) | |||||||
\(242\) | −206719. | + | 358047.i | −0.226904 | + | 0.393008i | ||||
\(243\) | −29524.5 | − | 51137.9i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 181185. | 0.194827 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 655467. | 0.690578 | ||||||||
\(247\) | 110905. | + | 192093.i | 0.115667 | + | 0.200341i | ||||
\(248\) | 179996. | − | 311762.i | 0.185837 | − | 0.321880i | ||||
\(249\) | −509225. | + | 882003.i | −0.520489 | + | 0.901513i | ||||
\(250\) | 923555. | + | 1.59964e6i | 0.934572 | + | 1.61873i | ||||
\(251\) | 690235. | 0.691532 | 0.345766 | − | 0.938321i | \(-0.387619\pi\) | ||||
0.345766 | + | 0.938321i | \(0.387619\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 911902. | 0.895668 | ||||||||
\(254\) | −184955. | − | 320351.i | −0.179879 | − | 0.311560i | ||||
\(255\) | 602324. | − | 1.04326e6i | 0.580069 | − | 1.00471i | ||||
\(256\) | −32768.0 | + | 56755.8i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −6893.35 | − | 11939.6i | −0.00651024 | − | 0.0112761i | 0.862752 | − | 0.505627i | \(-0.168739\pi\) |
−0.869262 | + | 0.494351i | \(0.835406\pi\) | |||||||
\(258\) | 421496. | 0.394225 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 1.33384e6 | 1.22369 | ||||||||
\(261\) | −49714.5 | − | 86108.0i | −0.0451733 | − | 0.0782424i | ||||
\(262\) | −144657. | + | 250553.i | −0.130192 | + | 0.225500i | ||||
\(263\) | −287417. | + | 497820.i | −0.256226 | + | 0.443796i | −0.965228 | − | 0.261411i | \(-0.915812\pi\) |
0.709002 | + | 0.705206i | \(0.249146\pi\) | |||||||
\(264\) | 69175.0 | + | 119815.i | 0.0610857 | + | 0.105803i | ||||
\(265\) | 1.82806e6 | 1.59910 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 975293. | 0.837253 | ||||||||
\(268\) | −288635. | − | 499930.i | −0.245477 | − | 0.425179i | ||||
\(269\) | 559464. | − | 969020.i | 0.471402 | − | 0.816492i | −0.528063 | − | 0.849205i | \(-0.677081\pi\) |
0.999465 | + | 0.0327131i | \(0.0104147\pi\) | |||||||
\(270\) | 150899. | − | 261365.i | 0.125973 | − | 0.218192i | ||||
\(271\) | −347435. | − | 601775.i | −0.287376 | − | 0.497749i | 0.685807 | − | 0.727784i | \(-0.259449\pi\) |
−0.973183 | + | 0.230034i | \(0.926116\pi\) | |||||||
\(272\) | −331076. | −0.271335 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −902648. | −0.726343 | ||||||||
\(275\) | −911131. | − | 1.57813e6i | −0.726523 | − | 1.25837i | ||||
\(276\) | −273353. | + | 473462.i | −0.215999 | + | 0.374121i | ||||
\(277\) | 418827. | − | 725429.i | 0.327971 | − | 0.568062i | −0.654138 | − | 0.756375i | \(-0.726969\pi\) |
0.982109 | + | 0.188313i | \(0.0603019\pi\) | |||||||
\(278\) | −655942. | − | 1.13613e6i | −0.509042 | − | 0.881687i | ||||
\(279\) | 455614. | 0.350418 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −917687. | −0.693312 | −0.346656 | − | 0.937992i | \(-0.612683\pi\) | ||||
−0.346656 | + | 0.937992i | \(0.612683\pi\) | |||||||
\(282\) | −414875. | − | 718584.i | −0.310666 | − | 0.538090i | ||||
\(283\) | 207632. | − | 359629.i | 0.154109 | − | 0.266924i | −0.778625 | − | 0.627489i | \(-0.784083\pi\) |
0.932734 | + | 0.360565i | \(0.117416\pi\) | |||||||
\(284\) | 507474. | − | 878971.i | 0.373352 | − | 0.646664i | ||||
\(285\) | 128254. | + | 222142.i | 0.0935314 | + | 0.162001i | ||||
\(286\) | −773873. | −0.559442 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −82944.0 | −0.0589256 | ||||||||
\(289\) | −126340. | − | 218828.i | −0.0889809 | − | 0.154119i | ||||
\(290\) | 254090. | − | 440097.i | 0.177416 | − | 0.307293i | ||||
\(291\) | −448386. | + | 776627.i | −0.310398 | + | 0.537625i | ||||
\(292\) | 423859. | + | 734145.i | 0.290914 | + | 0.503878i | ||||
\(293\) | −1.21491e6 | −0.826752 | −0.413376 | − | 0.910561i | \(-0.635650\pi\) | ||||
−0.413376 | + | 0.910561i | \(0.635650\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.90190e6 | 1.27243 | ||||||||
\(296\) | −290512. | − | 503181.i | −0.192723 | − | 0.333807i | ||||
\(297\) | −87549.6 | + | 151640.i | −0.0575921 | + | 0.0997525i | ||||
\(298\) | 328022. | − | 568150.i | 0.213974 | − | 0.370615i | ||||
\(299\) | −1.52903e6 | − | 2.64835e6i | −0.989093 | − | 1.71316i | ||||
\(300\) | 1.09249e6 | 0.700832 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −249235. | −0.157250 | ||||||||
\(303\) | −743399. | − | 1.28761e6i | −0.465174 | − | 0.805705i | ||||
\(304\) | 35248.2 | − | 61051.7i | 0.0218753 | − | 0.0378891i | ||||
\(305\) | −586007. | + | 1.01499e6i | −0.360706 | + | 0.624761i | ||||
\(306\) | −209509. | − | 362880.i | −0.127908 | − | 0.221544i | ||||
\(307\) | −2.60119e6 | −1.57517 | −0.787584 | − | 0.616207i | \(-0.788668\pi\) | ||||
−0.787584 | + | 0.616207i | \(0.788668\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −965225. | −0.575085 | ||||||||
\(310\) | 1.16432e6 | + | 2.01666e6i | 0.688125 | + | 1.19187i | ||||
\(311\) | 409582. | − | 709417.i | 0.240126 | − | 0.415911i | −0.720624 | − | 0.693326i | \(-0.756144\pi\) |
0.960750 | + | 0.277415i | \(0.0894778\pi\) | |||||||
\(312\) | 231977. | − | 401797.i | 0.134915 | − | 0.233679i | ||||
\(313\) | 440970. | + | 763782.i | 0.254418 | + | 0.440665i | 0.964737 | − | 0.263215i | \(-0.0847828\pi\) |
−0.710319 | + | 0.703880i | \(0.751449\pi\) | |||||||
\(314\) | 959226. | 0.549031 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −777024. | −0.437741 | ||||||||
\(317\) | 802191. | + | 1.38944e6i | 0.448363 | + | 0.776587i | 0.998280 | − | 0.0586323i | \(-0.0186740\pi\) |
−0.549917 | + | 0.835219i | \(0.685341\pi\) | |||||||
\(318\) | 317930. | − | 550672.i | 0.176305 | − | 0.305369i | ||||
\(319\) | −147419. | + | 255338.i | −0.0811106 | + | 0.140488i | ||||
\(320\) | −211963. | − | 367130.i | −0.115714 | − | 0.200422i | ||||
\(321\) | −876801. | −0.474940 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 356135. | 0.189937 | ||||||||
\(324\) | −52488.0 | − | 90911.9i | −0.0277778 | − | 0.0481125i | ||||
\(325\) | −3.05547e6 | + | 5.29223e6i | −1.60461 | + | 2.77927i | ||||
\(326\) | −873589. | + | 1.51310e6i | −0.455264 | + | 0.788540i | ||||
\(327\) | −266882. | − | 462254.i | −0.138023 | − | 0.239062i | ||||
\(328\) | 1.16527e6 | 0.598058 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −894929. | −0.452381 | ||||||||
\(331\) | −501540. | − | 868693.i | −0.251614 | − | 0.435809i | 0.712356 | − | 0.701818i | \(-0.247628\pi\) |
−0.963970 | + | 0.266009i | \(0.914295\pi\) | |||||||
\(332\) | −905288. | + | 1.56801e6i | −0.450756 | + | 0.780733i | ||||
\(333\) | 367679. | − | 636839.i | 0.181701 | − | 0.314716i | ||||
\(334\) | 77693.4 | + | 134569.i | 0.0381082 | + | 0.0660053i | ||||
\(335\) | 3.73412e6 | 1.81793 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.62317e6 | −1.25821 | −0.629103 | − | 0.777322i | \(-0.716578\pi\) | ||||
−0.629103 | + | 0.777322i | \(0.716578\pi\) | |||||||
\(338\) | 555001. | + | 961290.i | 0.264242 | + | 0.457681i | ||||
\(339\) | −707705. | + | 1.22578e6i | −0.334467 | + | 0.579313i | ||||
\(340\) | 1.07080e6 | − | 1.85468e6i | 0.502355 | − | 0.870104i | ||||
\(341\) | −675521. | − | 1.17004e6i | −0.314596 | − | 0.544896i | ||||
\(342\) | 89222.1 | 0.0412484 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 749326. | 0.341409 | ||||||||
\(345\) | −1.76821e6 | − | 3.06263e6i | −0.799809 | − | 1.38531i | ||||
\(346\) | 792555. | − | 1.37274e6i | 0.355909 | − | 0.616452i | ||||
\(347\) | −113117. | + | 195924.i | −0.0504317 | + | 0.0873503i | −0.890139 | − | 0.455689i | \(-0.849393\pi\) |
0.839708 | + | 0.543039i | \(0.182726\pi\) | |||||||
\(348\) | −88381.3 | − | 153081.i | −0.0391212 | − | 0.0677599i | ||||
\(349\) | −1.46280e6 | −0.642866 | −0.321433 | − | 0.946932i | \(-0.604165\pi\) | ||||
−0.321433 | + | 0.946932i | \(0.604165\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 587193. | 0.254398 | ||||||||
\(352\) | 122978. | + | 213004.i | 0.0529017 | + | 0.0916285i | ||||
\(353\) | −1.40479e6 | + | 2.43316e6i | −0.600031 | + | 1.03928i | 0.392785 | + | 0.919630i | \(0.371512\pi\) |
−0.992816 | + | 0.119653i | \(0.961822\pi\) | |||||||
\(354\) | 330773. | − | 572916.i | 0.140289 | − | 0.242987i | ||||
\(355\) | 3.28264e6 | + | 5.68570e6i | 1.38246 | + | 2.39449i | ||||
\(356\) | 1.73385e6 | 0.725083 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −975534. | −0.402286 | ||||||||
\(359\) | 1.84950e6 | + | 3.20343e6i | 0.757388 | + | 1.31183i | 0.944178 | + | 0.329435i | \(0.106858\pi\) |
−0.186790 | + | 0.982400i | \(0.559808\pi\) | |||||||
\(360\) | 268265. | − | 464649.i | 0.109096 | − | 0.188960i | ||||
\(361\) | 1.20013e6 | − | 2.07869e6i | 0.484687 | − | 0.839503i | ||||
\(362\) | −598546. | − | 1.03671e6i | −0.240063 | − | 0.415802i | ||||
\(363\) | −930234. | −0.370532 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.48354e6 | −2.15441 | ||||||||
\(366\) | 203834. | + | 353050.i | 0.0795377 | + | 0.137763i | ||||
\(367\) | −584623. | + | 1.01260e6i | −0.226574 | + | 0.392438i | −0.956791 | − | 0.290778i | \(-0.906086\pi\) |
0.730216 | + | 0.683216i | \(0.239419\pi\) | |||||||
\(368\) | −485961. | + | 841710.i | −0.187061 | + | 0.323998i | ||||
\(369\) | 737400. | + | 1.27721e6i | 0.281927 | + | 0.488313i | ||||
\(370\) | 3.75840e6 | 1.42725 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 809980. | 0.303471 | ||||||||
\(373\) | 2.28845e6 | + | 3.96371e6i | 0.851666 | + | 1.47513i | 0.879704 | + | 0.475523i | \(0.157741\pi\) |
−0.0280372 | + | 0.999607i | \(0.508926\pi\) | |||||||
\(374\) | −621262. | + | 1.07606e6i | −0.229665 | + | 0.397792i | ||||
\(375\) | −2.07800e6 | + | 3.59920e6i | −0.763075 | + | 1.32168i | ||||
\(376\) | −737555. | − | 1.27748e6i | −0.269045 | − | 0.466000i | ||||
\(377\) | 988738. | 0.358284 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.35520e6 | −0.842229 | −0.421114 | − | 0.907007i | \(-0.638361\pi\) | ||||
−0.421114 | + | 0.907007i | \(0.638361\pi\) | |||||||
\(380\) | 228006. | + | 394919.i | 0.0810006 | + | 0.140297i | ||||
\(381\) | 416148. | − | 720789.i | 0.146871 | − | 0.254387i | ||||
\(382\) | −1.55399e6 | + | 2.69159e6i | −0.544867 | + | 0.943738i | ||||
\(383\) | −1.51973e6 | − | 2.63225e6i | −0.529382 | − | 0.916916i | −0.999413 | − | 0.0342662i | \(-0.989091\pi\) |
0.470031 | − | 0.882650i | \(-0.344243\pi\) | |||||||
\(384\) | −147456. | −0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −1.10568e6 | −0.377714 | ||||||||
\(387\) | 474183. | + | 821309.i | 0.160942 | + | 0.278759i | ||||
\(388\) | −797130. | + | 1.38067e6i | −0.268813 | + | 0.465597i | ||||
\(389\) | 229637. | − | 397742.i | 0.0769426 | − | 0.133269i | −0.824987 | − | 0.565152i | \(-0.808818\pi\) |
0.901929 | + | 0.431883i | \(0.142151\pi\) | |||||||
\(390\) | 1.50057e6 | + | 2.59906e6i | 0.499567 | + | 0.865276i | ||||
\(391\) | −4.90998e6 | −1.62419 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −650956. | −0.212603 | ||||||||
\(394\) | −263231. | − | 455929.i | −0.0854272 | − | 0.147964i | ||||
\(395\) | 2.51313e6 | − | 4.35286e6i | 0.810441 | − | 1.40373i | ||||
\(396\) | −155644. | + | 269583.i | −0.0498762 | + | 0.0863882i | ||||
\(397\) | −2.71250e6 | − | 4.69819e6i | −0.863761 | − | 1.49608i | −0.868272 | − | 0.496089i | \(-0.834769\pi\) |
0.00451026 | − | 0.999990i | \(-0.498564\pi\) | |||||||
\(398\) | −2.25984e6 | −0.715106 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.94220e6 | 0.606938 | ||||||||
\(401\) | −1.05564e6 | − | 1.82841e6i | −0.327833 | − | 0.567824i | 0.654248 | − | 0.756280i | \(-0.272985\pi\) |
−0.982082 | + | 0.188456i | \(0.939652\pi\) | |||||||
\(402\) | 649428. | − | 1.12484e6i | 0.200432 | − | 0.347158i | ||||
\(403\) | −2.26535e6 | + | 3.92370e6i | −0.694821 | + | 1.20346i | ||||
\(404\) | −1.32160e6 | − | 2.28908e6i | −0.402853 | − | 0.697761i | ||||
\(405\) | 679047. | 0.205713 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −2.18057e6 | −0.652506 | ||||||||
\(408\) | −372461. | − | 645121.i | −0.110772 | − | 0.191863i | ||||
\(409\) | −1.27872e6 | + | 2.21481e6i | −0.377980 | + | 0.654680i | −0.990768 | − | 0.135567i | \(-0.956714\pi\) |
0.612788 | + | 0.790247i | \(0.290048\pi\) | |||||||
\(410\) | −3.76884e6 | + | 6.52783e6i | −1.10726 | + | 1.91783i | ||||
\(411\) | −1.01548e6 | − | 1.75886e6i | −0.296528 | − | 0.513602i | ||||
\(412\) | −1.71595e6 | −0.498038 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −1.23009e6 | −0.352725 | ||||||||
\(415\) | −5.85594e6 | − | 1.01428e7i | −1.66908 | − | 2.89093i | ||||
\(416\) | 412404. | − | 714305.i | 0.116840 | − | 0.202372i | ||||
\(417\) | 1.47587e6 | − | 2.55628e6i | 0.415631 | − | 0.719894i | ||||
\(418\) | −132286. | − | 229126.i | −0.0370317 | − | 0.0641407i | ||||
\(419\) | 2.17401e6 | 0.604959 | 0.302480 | − | 0.953156i | \(-0.402186\pi\) | ||||
0.302480 | + | 0.953156i | \(0.402186\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.47930e6 | −1.50668 | −0.753338 | − | 0.657633i | \(-0.771558\pi\) | ||||
−0.753338 | + | 0.657633i | \(0.771558\pi\) | |||||||
\(422\) | 627274. | + | 1.08647e6i | 0.171465 | + | 0.296987i | ||||
\(423\) | 933468. | − | 1.61681e6i | 0.253658 | − | 0.439349i | ||||
\(424\) | 565210. | − | 978972.i | 0.152684 | − | 0.264457i | ||||
\(425\) | 4.90583e6 | + | 8.49714e6i | 1.31747 | + | 2.28192i | ||||
\(426\) | 2.28363e6 | 0.609680 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −1.55876e6 | −0.411310 | ||||||||
\(429\) | −870607. | − | 1.50794e6i | −0.228391 | − | 0.395585i | ||||
\(430\) | −2.42354e6 | + | 4.19770e6i | −0.632091 | + | 1.09481i | ||||
\(431\) | 3.08437e6 | − | 5.34229e6i | 0.799785 | − | 1.38527i | −0.119971 | − | 0.992777i | \(-0.538280\pi\) |
0.919756 | − | 0.392491i | \(-0.128387\pi\) | |||||||
\(432\) | −93312.0 | − | 161621.i | −0.0240563 | − | 0.0416667i | ||||
\(433\) | 4.89596e6 | 1.25493 | 0.627463 | − | 0.778647i | \(-0.284093\pi\) | ||||
0.627463 | + | 0.778647i | \(0.284093\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.14341e6 | 0.289719 | ||||||||
\(436\) | −474458. | − | 821785.i | −0.119531 | − | 0.207034i | ||||
\(437\) | 522744. | − | 905419.i | 0.130944 | − | 0.226802i | ||||
\(438\) | −953683. | + | 1.65183e6i | −0.237530 | + | 0.411414i | ||||
\(439\) | 1.77294e6 | + | 3.07082e6i | 0.439069 | + | 0.760489i | 0.997618 | − | 0.0689822i | \(-0.0219752\pi\) |
−0.558549 | + | 0.829471i | \(0.688642\pi\) | |||||||
\(440\) | −1.59099e6 | −0.391773 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 4.16679e6 | 1.01448 | ||||||||
\(443\) | −3.02826e6 | − | 5.24510e6i | −0.733134 | − | 1.26983i | −0.955537 | − | 0.294871i | \(-0.904723\pi\) |
0.222403 | − | 0.974955i | \(-0.428610\pi\) | |||||||
\(444\) | 653651. | − | 1.13216e6i | 0.157358 | − | 0.272552i | ||||
\(445\) | −5.60780e6 | + | 9.71299e6i | −1.34243 | + | 2.32516i | ||||
\(446\) | −558966. | − | 968158.i | −0.133060 | − | 0.230467i | ||||
\(447\) | 1.47610e6 | 0.349419 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −1.20801e6 | −0.282783 | −0.141392 | − | 0.989954i | \(-0.545158\pi\) | ||||
−0.141392 | + | 0.989954i | \(0.545158\pi\) | |||||||
\(450\) | 1.22905e6 | + | 2.12878e6i | 0.286113 | + | 0.495563i | ||||
\(451\) | 2.18663e6 | − | 3.78735e6i | 0.506213 | − | 0.876787i | ||||
\(452\) | −1.25814e6 | + | 2.17917e6i | −0.289657 | + | 0.501700i | ||||
\(453\) | −280390. | − | 485649.i | −0.0641972 | − | 0.111193i | ||||
\(454\) | 4.89403e6 | 1.11436 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 158617. | 0.0357222 | ||||||||
\(457\) | 2.73275e6 | + | 4.73326e6i | 0.612082 | + | 1.06016i | 0.990889 | + | 0.134681i | \(0.0430011\pi\) |
−0.378807 | + | 0.925476i | \(0.623666\pi\) | |||||||
\(458\) | 509549. | − | 882565.i | 0.113507 | − | 0.196600i | ||||
\(459\) | 471396. | − | 816481.i | 0.104437 | − | 0.180890i | ||||
\(460\) | −3.14349e6 | − | 5.44468e6i | −0.692655 | − | 1.19971i | ||||
\(461\) | 1.15956e6 | 0.254121 | 0.127061 | − | 0.991895i | \(-0.459446\pi\) | ||||
0.127061 | + | 0.991895i | \(0.459446\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.31335e6 | −0.935108 | −0.467554 | − | 0.883964i | \(-0.654865\pi\) | ||||
−0.467554 | + | 0.883964i | \(0.654865\pi\) | |||||||
\(464\) | −157122. | − | 272144.i | −0.0338800 | − | 0.0586818i | ||||
\(465\) | −2.61972e6 | + | 4.53748e6i | −0.561852 | + | 0.973156i | ||||
\(466\) | 1.49235e6 | − | 2.58482e6i | 0.318350 | − | 0.551398i | ||||
\(467\) | 2.99462e6 | + | 5.18683e6i | 0.635403 | + | 1.10055i | 0.986430 | + | 0.164184i | \(0.0524992\pi\) |
−0.351027 | + | 0.936365i | \(0.614167\pi\) | |||||||
\(468\) | 1.04390e6 | 0.220315 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 9.54189e6 | 1.99246 | ||||||||
\(471\) | 1.07913e6 | + | 1.86911e6i | 0.224141 | + | 0.388224i | ||||
\(472\) | 588042. | − | 1.01852e6i | 0.121494 | − | 0.210433i | ||||
\(473\) | 1.40610e6 | − | 2.43544e6i | 0.288978 | − | 0.500524i | ||||
\(474\) | −874152. | − | 1.51408e6i | −0.178707 | − | 0.309529i | ||||
\(475\) | −2.08921e6 | −0.424862 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.43069e6 | 0.287905 | ||||||||
\(478\) | 642073. | + | 1.11210e6i | 0.128533 | + | 0.222626i | ||||
\(479\) | −1.77326e6 | + | 3.07138e6i | −0.353129 | + | 0.611638i | −0.986796 | − | 0.161968i | \(-0.948216\pi\) |
0.633667 | + | 0.773606i | \(0.281549\pi\) | |||||||
\(480\) | 476916. | − | 826043.i | 0.0944798 | − | 0.163644i | ||||
\(481\) | 3.65626e6 | + | 6.33283e6i | 0.720567 | + | 1.24806i | ||||
\(482\) | −4.97015e6 | −0.974432 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.65375e6 | −0.320890 | ||||||||
\(485\) | −5.15631e6 | − | 8.93099e6i | −0.995370 | − | 1.72403i | ||||
\(486\) | 118098. | − | 204552.i | 0.0226805 | − | 0.0392837i | ||||
\(487\) | 4.39160e6 | − | 7.60648e6i | 0.839074 | − | 1.45332i | −0.0515950 | − | 0.998668i | \(-0.516430\pi\) |
0.890669 | − | 0.454651i | \(-0.150236\pi\) | |||||||
\(488\) | 362371. | + | 627645.i | 0.0688817 | + | 0.119307i | ||||
\(489\) | −3.93115e6 | −0.743443 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −586608. | −0.109811 | −0.0549053 | − | 0.998492i | \(-0.517486\pi\) | ||||
−0.0549053 | + | 0.998492i | \(0.517486\pi\) | |||||||
\(492\) | 1.31093e6 | + | 2.27060e6i | 0.244156 | + | 0.422891i | ||||
\(493\) | 793754. | − | 1.37482e6i | 0.147085 | − | 0.254759i | ||||
\(494\) | −443619. | + | 768371.i | −0.0817887 | + | 0.141662i | ||||
\(495\) | −1.00680e6 | − | 1.74382e6i | −0.184684 | − | 0.319881i | ||||
\(496\) | 1.43997e6 | 0.262814 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −4.07380e6 | −0.736082 | ||||||||
\(499\) | 4.79886e6 | + | 8.31187e6i | 0.862753 | + | 1.49433i | 0.869261 | + | 0.494353i | \(0.164595\pi\) |
−0.00650801 | + | 0.999979i | \(0.502072\pi\) | |||||||
\(500\) | −3.69422e6 | + | 6.39858e6i | −0.660842 | + | 1.14461i | ||||
\(501\) | −174810. | + | 302780.i | −0.0311152 | + | 0.0538931i | ||||
\(502\) | 1.38047e6 | + | 2.39104e6i | 0.244494 | + | 0.423475i | ||||
\(503\) | −7.21481e6 | −1.27147 | −0.635733 | − | 0.771909i | \(-0.719302\pi\) | ||||
−0.635733 | + | 0.771909i | \(0.719302\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.70978e7 | 2.98340 | ||||||||
\(506\) | 1.82380e6 | + | 3.15892e6i | 0.316666 | + | 0.548482i | ||||
\(507\) | −1.24875e6 | + | 2.16290e6i | −0.215753 | + | 0.373695i | ||||
\(508\) | 739818. | − | 1.28140e6i | 0.127194 | − | 0.220306i | ||||
\(509\) | −2.19210e6 | − | 3.79682e6i | −0.375029 | − | 0.649569i | 0.615302 | − | 0.788291i | \(-0.289034\pi\) |
−0.990331 | + | 0.138722i | \(0.955701\pi\) | |||||||
\(510\) | 4.81859e6 | 0.820342 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −262144. | −0.0441942 | ||||||||
\(513\) | 100375. | + | 173854.i | 0.0168396 | + | 0.0291670i | ||||
\(514\) | 27573.4 | − | 47758.5i | 0.00460344 | − | 0.00797339i | ||||
\(515\) | 5.54991e6 | − | 9.61272e6i | 0.922078 | − | 1.59709i | ||||
\(516\) | 842992. | + | 1.46010e6i | 0.139380 | + | 0.241412i | ||||
\(517\) | −5.53606e6 | −0.910909 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 3.56650e6 | 0.581197 | ||||||||
\(520\) | 2.66768e6 | + | 4.62055e6i | 0.432638 | + | 0.749351i | ||||
\(521\) | −1.03291e6 | + | 1.78905e6i | −0.166712 | + | 0.288753i | −0.937262 | − | 0.348626i | \(-0.886648\pi\) |
0.770550 | + | 0.637380i | \(0.219982\pi\) | |||||||
\(522\) | 198858. | − | 344432.i | 0.0319423 | − | 0.0553258i | ||||
\(523\) | −3.98285e6 | − | 6.89850e6i | −0.636707 | − | 1.10281i | −0.986151 | − | 0.165852i | \(-0.946963\pi\) |
0.349444 | − | 0.936957i | \(-0.386371\pi\) | |||||||
\(524\) | −1.15725e6 | −0.184120 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.29933e6 | −0.362358 | ||||||||
\(527\) | 3.63722e6 | + | 6.29985e6i | 0.570484 | + | 0.988107i | ||||
\(528\) | −276700. | + | 479258.i | −0.0431941 | + | 0.0748143i | ||||
\(529\) | −3.98881e6 | + | 6.90882e6i | −0.619732 | + | 1.07341i | ||||
\(530\) | 3.65611e6 | + | 6.33257e6i | 0.565366 | + | 0.979242i | ||||
\(531\) | 1.48848e6 | 0.229090 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.46657e7 | −2.23606 | ||||||||
\(534\) | 1.95059e6 | + | 3.37851e6i | 0.296014 | + | 0.512711i | ||||
\(535\) | 5.04148e6 | − | 8.73210e6i | 0.761507 | − | 1.31897i | ||||
\(536\) | 1.15454e6 | − | 1.99972e6i | 0.173579 | − | 0.300647i | ||||
\(537\) | −1.09748e6 | − | 1.90088e6i | −0.164233 | − | 0.284459i | ||||
\(538\) | 4.47571e6 | 0.666663 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 1.20719e6 | 0.178153 | ||||||||
\(541\) | −4.11712e6 | − | 7.13105e6i | −0.604784 | − | 1.04752i | −0.992086 | − | 0.125563i | \(-0.959926\pi\) |
0.387302 | − | 0.921953i | \(-0.373407\pi\) | |||||||
\(542\) | 1.38974e6 | − | 2.40710e6i | 0.203205 | − | 0.351962i | ||||
\(543\) | 1.34673e6 | − | 2.33260e6i | 0.196011 | − | 0.339501i | ||||
\(544\) | −662152. | − | 1.14688e6i | −0.0959314 | − | 0.166158i | ||||
\(545\) | 6.13815e6 | 0.885209 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.20365e6 | 0.743601 | 0.371800 | − | 0.928313i | \(-0.378741\pi\) | ||||
0.371800 | + | 0.928313i | \(0.378741\pi\) | |||||||
\(548\) | −1.80530e6 | − | 3.12686e6i | −0.256801 | − | 0.444793i | ||||
\(549\) | −458626. | + | 794363.i | −0.0649423 | + | 0.112483i | ||||
\(550\) | 3.64453e6 | − | 6.31250e6i | 0.513729 | − | 0.889805i | ||||
\(551\) | 169015. | + | 292743.i | 0.0237163 | + | 0.0410778i | ||||
\(552\) | −2.18683e6 | −0.305469 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 3.35061e6 | 0.463821 | ||||||||
\(555\) | 4.22820e6 | + | 7.32346e6i | 0.582671 | + | 1.00922i | ||||
\(556\) | 2.62377e6 | − | 4.54450e6i | 0.359947 | − | 0.623447i | ||||
\(557\) | 2.04583e6 | − | 3.54347e6i | 0.279403 | − | 0.483940i | −0.691834 | − | 0.722057i | \(-0.743197\pi\) |
0.971236 | + | 0.238117i | \(0.0765302\pi\) | |||||||
\(558\) | 911228. | + | 1.57829e6i | 0.123892 | + | 0.214586i | ||||
\(559\) | −9.43070e6 | −1.27648 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.79568e6 | −0.375042 | ||||||||
\(562\) | −1.83537e6 | − | 3.17896e6i | −0.245123 | − | 0.424565i | ||||
\(563\) | 1.79526e6 | − | 3.10948e6i | 0.238702 | − | 0.413444i | −0.721640 | − | 0.692269i | \(-0.756611\pi\) |
0.960342 | + | 0.278824i | \(0.0899447\pi\) | |||||||
\(564\) | 1.65950e6 | − | 2.87434e6i | 0.219674 | − | 0.380487i | ||||
\(565\) | −8.13841e6 | − | 1.40961e7i | −1.07255 | − | 1.85771i | ||||
\(566\) | 1.66105e6 | 0.217943 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.05979e6 | 0.527999 | ||||||||
\(569\) | −4.89858e6 | − | 8.48459e6i | −0.634293 | − | 1.09863i | −0.986665 | − | 0.162767i | \(-0.947958\pi\) |
0.352372 | − | 0.935860i | \(-0.385375\pi\) | |||||||
\(570\) | −513014. | + | 888567.i | −0.0661367 | + | 0.114552i | ||||
\(571\) | 1.10902e6 | − | 1.92088e6i | 0.142347 | − | 0.246552i | −0.786033 | − | 0.618185i | \(-0.787868\pi\) |
0.928380 | + | 0.371632i | \(0.121202\pi\) | |||||||
\(572\) | −1.54775e6 | − | 2.68078e6i | −0.197792 | − | 0.342587i | ||||
\(573\) | −6.99297e6 | −0.889764 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.88036e7 | 3.63309 | ||||||||
\(576\) | −165888. | − | 287326.i | −0.0208333 | − | 0.0360844i | ||||
\(577\) | 1.32767e6 | − | 2.29959e6i | 0.166016 | − | 0.287548i | −0.771000 | − | 0.636836i | \(-0.780243\pi\) |
0.937016 | + | 0.349288i | \(0.113576\pi\) | |||||||
\(578\) | 505361. | − | 875310.i | 0.0629190 | − | 0.108979i | ||||
\(579\) | −1.24390e6 | − | 2.15449e6i | −0.154201 | − | 0.267084i | ||||
\(580\) | 2.03272e6 | 0.250904 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −3.58708e6 | −0.438969 | ||||||||
\(583\) | −2.12122e6 | − | 3.67406e6i | −0.258473 | − | 0.447688i | ||||
\(584\) | −1.69544e6 | + | 2.93658e6i | −0.205707 | + | 0.356295i | ||||
\(585\) | −3.37628e6 | + | 5.84788e6i | −0.407895 | + | 0.706495i | ||||
\(586\) | −2.42982e6 | − | 4.20857e6i | −0.292301 | − | 0.506280i | ||||
\(587\) | −2.62690e6 | −0.314665 | −0.157332 | − | 0.987546i | \(-0.550289\pi\) | ||||
−0.157332 | + | 0.987546i | \(0.550289\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.54896e6 | −0.183972 | ||||||||
\(590\) | 3.80380e6 | + | 6.58838e6i | 0.449871 | + | 0.779199i | ||||
\(591\) | 592269. | − | 1.02584e6i | 0.0697510 | − | 0.120812i | ||||
\(592\) | 1.16205e6 | − | 2.01272e6i | 0.136276 | − | 0.236037i | ||||
\(593\) | 5.75310e6 | + | 9.96467e6i | 0.671839 | + | 1.16366i | 0.977382 | + | 0.211481i | \(0.0678287\pi\) |
−0.305543 | + | 0.952178i | \(0.598838\pi\) | |||||||
\(594\) | −700397. | −0.0814475 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 2.62417e6 | 0.302606 | ||||||||
\(597\) | −2.54232e6 | − | 4.40343e6i | −0.291941 | − | 0.505656i | ||||
\(598\) | 6.11611e6 | − | 1.05934e7i | 0.699394 | − | 1.21139i | ||||
\(599\) | −3.23132e6 | + | 5.59681e6i | −0.367970 | + | 0.637343i | −0.989248 | − | 0.146247i | \(-0.953281\pi\) |
0.621278 | + | 0.783590i | \(0.286614\pi\) | |||||||
\(600\) | 2.18498e6 | + | 3.78449e6i | 0.247781 | + | 0.429170i | ||||
\(601\) | 8.55332e6 | 0.965937 | 0.482968 | − | 0.875638i | \(-0.339559\pi\) | ||||
0.482968 | + | 0.875638i | \(0.339559\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 2.92243e6 | 0.327303 | ||||||||
\(604\) | −498470. | − | 863376.i | −0.0555964 | − | 0.0962958i | ||||
\(605\) | 5.34871e6 | − | 9.26425e6i | 0.594102 | − | 1.02901i | ||||
\(606\) | 2.97360e6 | − | 5.15042e6i | 0.328928 | − | 0.569720i | ||||
\(607\) | −1.49521e6 | − | 2.58978e6i | −0.164714 | − | 0.285293i | 0.771840 | − | 0.635817i | \(-0.219337\pi\) |
−0.936554 | + | 0.350524i | \(0.886003\pi\) | |||||||
\(608\) | 281986. | 0.0309363 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.68806e6 | −0.510115 | ||||||||
\(611\) | 9.28256e6 | + | 1.60779e7i | 1.00592 | + | 1.74231i | ||||
\(612\) | 838036. | − | 1.45152e6i | 0.0904450 | − | 0.156655i | ||||
\(613\) | 885724. | − | 1.53412e6i | 0.0952023 | − | 0.164895i | −0.814491 | − | 0.580177i | \(-0.802984\pi\) |
0.909693 | + | 0.415281i | \(0.136317\pi\) | |||||||
\(614\) | −5.20239e6 | − | 9.01080e6i | −0.556906 | − | 0.964589i | ||||
\(615\) | −1.69598e7 | −1.80814 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1.40871e7 | 1.48974 | 0.744869 | − | 0.667210i | \(-0.232512\pi\) | ||||
0.744869 | + | 0.667210i | \(0.232512\pi\) | |||||||
\(618\) | −1.93045e6 | − | 3.34364e6i | −0.203323 | − | 0.352166i | ||||
\(619\) | 5.67152e6 | − | 9.82336e6i | 0.594940 | − | 1.03047i | −0.398616 | − | 0.917118i | \(-0.630509\pi\) |
0.993555 | − | 0.113348i | \(-0.0361574\pi\) | |||||||
\(620\) | −4.65727e6 | + | 8.06663e6i | −0.486578 | + | 0.842778i | ||||
\(621\) | −1.38385e6 | − | 2.39690e6i | −0.143999 | − | 0.249414i | ||||
\(622\) | 3.27666e6 | 0.339590 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 1.85582e6 | 0.190798 | ||||||||
\(625\) | −1.20421e7 | − | 2.08576e7i | −1.23312 | − | 2.13582i | ||||
\(626\) | −1.76388e6 | + | 3.05513e6i | −0.179901 | + | 0.311597i | ||||
\(627\) | 297643. | − | 515534.i | 0.0302362 | − | 0.0523707i | ||||
\(628\) | 1.91845e6 | + | 3.32286e6i | 0.194112 | + | 0.336211i | ||||
\(629\) | 1.17409e7 | 1.18325 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −2.32628e6 | −0.232588 | −0.116294 | − | 0.993215i | \(-0.537102\pi\) | ||||
−0.116294 | + | 0.993215i | \(0.537102\pi\) | |||||||
\(632\) | −1.55405e6 | − | 2.69169e6i | −0.154765 | − | 0.268060i | ||||
\(633\) | −1.41137e6 | + | 2.44456e6i | −0.140001 | + | 0.242489i | ||||
\(634\) | −3.20876e6 | + | 5.55774e6i | −0.317040 | + | 0.549130i | ||||
\(635\) | 4.78558e6 | + | 8.28887e6i | 0.470978 | + | 0.815758i | ||||
\(636\) | 2.54344e6 | 0.249333 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −1.17935e6 | −0.114708 | ||||||||
\(639\) | 2.56909e6 | + | 4.44979e6i | 0.248901 | + | 0.431109i | ||||
\(640\) | 847851. | − | 1.46852e6i | 0.0818219 | − | 0.141720i | ||||
\(641\) | 1.28193e6 | − | 2.22036e6i | 0.123230 | − | 0.213441i | −0.797809 | − | 0.602910i | \(-0.794008\pi\) |
0.921040 | + | 0.389468i | \(0.127341\pi\) | |||||||
\(642\) | −1.75360e6 | − | 3.03733e6i | −0.167917 | − | 0.290840i | ||||
\(643\) | −5.95343e6 | −0.567858 | −0.283929 | − | 0.958845i | \(-0.591638\pi\) | ||||
−0.283929 | + | 0.958845i | \(0.591638\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.09059e7 | −1.03220 | ||||||||
\(646\) | 712271. | + | 1.23369e6i | 0.0671528 | + | 0.116312i | ||||
\(647\) | 767611. | − | 1.32954e6i | 0.0720909 | − | 0.124865i | −0.827727 | − | 0.561132i | \(-0.810366\pi\) |
0.899818 | + | 0.436266i | \(0.143699\pi\) | |||||||
\(648\) | 209952. | − | 363648.i | 0.0196419 | − | 0.0340207i | ||||
\(649\) | −2.20691e6 | − | 3.82248e6i | −0.205671 | − | 0.356233i | ||||
\(650\) | −2.44437e7 | −2.26926 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.98871e6 | −0.643841 | ||||||||
\(653\) | 9.97909e6 | + | 1.72843e7i | 0.915815 | + | 1.58624i | 0.805703 | + | 0.592319i | \(0.201788\pi\) |
0.110112 | + | 0.993919i | \(0.464879\pi\) | |||||||
\(654\) | 1.06753e6 | − | 1.84902e6i | 0.0975968 | − | 0.169043i | ||||
\(655\) | 3.74290e6 | − | 6.48290e6i | 0.340883 | − | 0.590427i | ||||
\(656\) | 2.33055e6 | + | 4.03663e6i | 0.211446 | + | 0.366235i | ||||
\(657\) | −4.29157e6 | −0.387885 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.05477e7 | −0.946119 | −0.473060 | − | 0.881030i | \(-0.656850\pi\) | ||||
−0.473060 | + | 0.881030i | \(0.656850\pi\) | |||||||
\(660\) | −1.78986e6 | − | 3.10013e6i | −0.159941 | − | 0.277025i | ||||
\(661\) | 6.10220e6 | − | 1.05693e7i | 0.543229 | − | 0.940900i | −0.455487 | − | 0.890242i | \(-0.650535\pi\) |
0.998716 | − | 0.0506576i | \(-0.0161317\pi\) | |||||||
\(662\) | 2.00616e6 | − | 3.47477e6i | 0.177918 | − | 0.308164i | ||||
\(663\) | 4.68763e6 | + | 8.11922e6i | 0.414162 | + | 0.717349i | ||||
\(664\) | −7.24231e6 | −0.637466 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.94143e6 | 0.256964 | ||||||||
\(667\) | −2.33018e6 | − | 4.03599e6i | −0.202803 | − | 0.351266i | ||||
\(668\) | −310774. | + | 538276.i | −0.0269466 | + | 0.0466728i | ||||
\(669\) | 1.25767e6 | − | 2.17836e6i | 0.108643 | − | 0.188176i | ||||
\(670\) | 7.46824e6 | + | 1.29354e7i | 0.642734 | + | 1.11325i | ||||
\(671\) | 2.71994e6 | 0.233213 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.97959e6 | −0.679114 | −0.339557 | − | 0.940585i | \(-0.610277\pi\) | ||||
−0.339557 | + | 0.940585i | \(0.610277\pi\) | |||||||
\(674\) | −5.24634e6 | − | 9.08693e6i | −0.444843 | − | 0.770491i | ||||
\(675\) | −2.76536e6 | + | 4.78975e6i | −0.233611 | + | 0.404625i | ||||
\(676\) | −2.22001e6 | + | 3.84516e6i | −0.186847 | + | 0.323629i | ||||
\(677\) | −2.54190e6 | − | 4.40271e6i | −0.213151 | − | 0.369188i | 0.739548 | − | 0.673104i | \(-0.235039\pi\) |
−0.952699 | + | 0.303915i | \(0.901706\pi\) | |||||||
\(678\) | −5.66164e6 | −0.473007 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 8.56639e6 | 0.710437 | ||||||||
\(681\) | 5.50578e6 | + | 9.53629e6i | 0.454937 | + | 0.787974i | ||||
\(682\) | 2.70208e6 | − | 4.68014e6i | 0.222453 | − | 0.385299i | ||||
\(683\) | 8.01654e6 | − | 1.38850e7i | 0.657559 | − | 1.13893i | −0.323686 | − | 0.946165i | \(-0.604922\pi\) |
0.981246 | − | 0.192762i | \(-0.0617445\pi\) | |||||||
\(684\) | 178444. | + | 309074.i | 0.0145835 | + | 0.0252594i | ||||
\(685\) | 2.33554e7 | 1.90179 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 2.29297e6 | 0.185356 | ||||||||
\(688\) | 1.49865e6 | + | 2.59574e6i | 0.120706 | + | 0.209069i | ||||
\(689\) | −7.11349e6 | + | 1.23209e7i | −0.570867 | + | 0.988770i | ||||
\(690\) | 7.07284e6 | − | 1.22505e7i | 0.565550 | − | 0.979562i | ||||
\(691\) | 5.50657e6 | + | 9.53766e6i | 0.438719 | + | 0.759883i | 0.997591 | − | 0.0693705i | \(-0.0220991\pi\) |
−0.558872 | + | 0.829254i | \(0.688766\pi\) | |||||||
\(692\) | 6.34044e6 | 0.503331 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −904935. | −0.0713212 | ||||||||
\(695\) | 1.69721e7 | + | 2.93965e7i | 1.33283 | + | 2.30852i | ||||
\(696\) | 353525. | − | 612324.i | 0.0276629 | − | 0.0479135i | ||||
\(697\) | −1.17735e7 | + | 2.03923e7i | −0.917961 | + | 1.58996i | ||||
\(698\) | −2.92560e6 | − | 5.06728e6i | −0.227288 | − | 0.393674i | ||||
\(699\) | 6.71555e6 | 0.519863 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −3.10660e6 | −0.238776 | −0.119388 | − | 0.992848i | \(-0.538093\pi\) | ||||
−0.119388 | + | 0.992848i | \(0.538093\pi\) | |||||||
\(702\) | 1.17439e6 | + | 2.03410e6i | 0.0899431 | + | 0.155786i | ||||
\(703\) | −1.25000e6 | + | 2.16507e6i | −0.0953943 | + | 0.165228i | ||||
\(704\) | −491911. | + | 852015.i | −0.0374072 | + | 0.0647911i | ||||
\(705\) | 1.07346e7 | + | 1.85929e7i | 0.813418 | + | 1.40888i | ||||
\(706\) | −1.12383e7 | −0.848571 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 2.64619e6 | 0.198398 | ||||||||
\(709\) | 6.90180e6 | + | 1.19543e7i | 0.515640 | + | 0.893115i | 0.999835 | + | 0.0181549i | \(0.00577922\pi\) |
−0.484195 | + | 0.874960i | \(0.660887\pi\) | |||||||
\(710\) | −1.31306e7 | + | 2.27428e7i | −0.977547 | + | 1.69316i | ||||
\(711\) | 1.96684e6 | − | 3.40667e6i | 0.145914 | − | 0.252730i | ||||
\(712\) | 3.46771e6 | + | 6.00625e6i | 0.256355 | + | 0.444021i | ||||
\(713\) | 2.13552e7 | 1.57319 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.00235e7 | 1.46479 | ||||||||
\(716\) | −1.95107e6 | − | 3.37935e6i | −0.142230 | − | 0.246349i | ||||
\(717\) | −1.44466e6 | + | 2.50223e6i | −0.104947 | + | 0.181773i | ||||
\(718\) | −7.39800e6 | + | 1.28137e7i | −0.535554 | + | 0.927607i | ||||
\(719\) | 6.49275e6 | + | 1.12458e7i | 0.468389 | + | 0.811273i | 0.999347 | − | 0.0361248i | \(-0.0115014\pi\) |
−0.530959 | + | 0.847398i | \(0.678168\pi\) | |||||||
\(720\) | 2.14612e6 | 0.154285 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 9.60107e6 | 0.685451 | ||||||||
\(723\) | −5.59141e6 | − | 9.68461e6i | −0.397810 | − | 0.689027i | ||||
\(724\) | 2.39418e6 | − | 4.14685e6i | 0.169751 | − | 0.294017i | ||||
\(725\) | −4.65642e6 | + | 8.06516e6i | −0.329009 | + | 0.569860i | ||||
\(726\) | −1.86047e6 | − | 3.22242e6i | −0.131003 | − | 0.226904i | ||||
\(727\) | −8.61224e6 | −0.604338 | −0.302169 | − | 0.953254i | \(-0.597711\pi\) | ||||
−0.302169 | + | 0.953254i | \(0.597711\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 531441. | 0.0370370 | ||||||||
\(730\) | −1.09671e7 | − | 1.89956e7i | −0.761700 | − | 1.31930i | ||||
\(731\) | −7.57092e6 | + | 1.31132e7i | −0.524029 | + | 0.907645i | ||||
\(732\) | −815334. | + | 1.41220e6i | −0.0562416 | + | 0.0974134i | ||||
\(733\) | −3.01000e6 | − | 5.21348e6i | −0.206922 | − | 0.358400i | 0.743821 | − | 0.668379i | \(-0.233011\pi\) |
−0.950743 | + | 0.309979i | \(0.899678\pi\) | |||||||
\(734\) | −4.67698e6 | −0.320424 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.88769e6 | −0.264544 | ||||||||
\(737\) | −4.33297e6 | − | 7.50492e6i | −0.293844 | − | 0.508952i | ||||
\(738\) | −2.94960e6 | + | 5.10886e6i | −0.199353 | + | 0.345289i | ||||
\(739\) | 46846.3 | − | 81140.1i | 0.00315547 | − | 0.00546543i | −0.864443 | − | 0.502730i | \(-0.832329\pi\) |
0.867599 | + | 0.497265i | \(0.165662\pi\) | |||||||
\(740\) | 7.51681e6 | + | 1.30195e7i | 0.504608 | + | 0.874007i | ||||
\(741\) | −1.99629e6 | −0.133560 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.29874e7 | −0.863081 | −0.431541 | − | 0.902094i | \(-0.642030\pi\) | ||||
−0.431541 | + | 0.902094i | \(0.642030\pi\) | |||||||
\(744\) | 1.61996e6 | + | 2.80585e6i | 0.107293 | + | 0.185837i | ||||
\(745\) | −8.48735e6 | + | 1.47005e7i | −0.560250 | + | 0.970381i | ||||
\(746\) | −9.15380e6 | + | 1.58549e7i | −0.602219 | + | 1.04307i | ||||
\(747\) | −4.58302e6 | − | 7.93803e6i | −0.300504 | − | 0.520489i | ||||
\(748\) | −4.97009e6 | −0.324796 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −1.66240e7 | −1.07915 | ||||||||
\(751\) | 318720. | + | 552040.i | 0.0206210 | + | 0.0357166i | 0.876152 | − | 0.482035i | \(-0.160102\pi\) |
−0.855531 | + | 0.517752i | \(0.826769\pi\) | |||||||
\(752\) | 2.95022e6 | − | 5.10993e6i | 0.190244 | − | 0.329511i | ||||
\(753\) | −3.10606e6 | + | 5.37985e6i | −0.199628 | + | 0.345766i | ||||
\(754\) | 1.97748e6 | + | 3.42509e6i | 0.126673 | + | 0.219403i | ||||
\(755\) | 6.44880e6 | 0.411729 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.86768e6 | −0.308732 | −0.154366 | − | 0.988014i | \(-0.549334\pi\) | ||||
−0.154366 | + | 0.988014i | \(0.549334\pi\) | |||||||
\(758\) | −4.71040e6 | − | 8.15866e6i | −0.297773 | − | 0.515758i | ||||
\(759\) | −4.10356e6 | + | 7.10757e6i | −0.258557 | + | 0.447834i | ||||
\(760\) | −912026. | + | 1.57967e6i | −0.0572760 | + | 0.0992050i | ||||
\(761\) | −2.90894e6 | − | 5.03842e6i | −0.182084 | − | 0.315379i | 0.760506 | − | 0.649331i | \(-0.224951\pi\) |
−0.942590 | + | 0.333952i | \(0.891618\pi\) | |||||||
\(762\) | 3.32918e6 | 0.207706 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −1.24319e7 | −0.770558 | ||||||||
\(765\) | 5.42092e6 | + | 9.38930e6i | 0.334903 | + | 0.580069i | ||||
\(766\) | 6.07891e6 | − | 1.05290e7i | 0.374329 | − | 0.648358i | ||||
\(767\) | −7.40085e6 | + | 1.28186e7i | −0.454248 | + | 0.786781i | ||||
\(768\) | −294912. | − | 510803.i | −0.0180422 | − | 0.0312500i |