Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,6,Mod(4,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.e (of order \(5\), degree \(4\), 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: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - x^{19} + 78 x^{18} + 79 x^{17} + 10573 x^{16} - 33409 x^{15} + 1262953 x^{14} + \cdots + 25599187870096 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4}\cdot 11^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 4.3 | ||
Root | \(-0.490010 + 0.356013i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.4 |
Dual form | 33.6.e.b.25.3 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.319007 | + | 0.231772i | 0.0563930 | + | 0.0409719i | 0.615625 | − | 0.788040i | \(-0.288904\pi\) |
−0.559232 | + | 0.829011i | \(0.688904\pi\) | |||||||
\(3\) | −2.78115 | + | 8.55951i | −0.178411 | + | 0.549093i | ||||
\(4\) | −9.84050 | − | 30.2859i | −0.307516 | − | 0.946435i | ||||
\(5\) | −17.3054 | + | 12.5731i | −0.309569 | + | 0.224915i | −0.731712 | − | 0.681614i | \(-0.761278\pi\) |
0.422143 | + | 0.906529i | \(0.361278\pi\) | |||||||
\(6\) | −2.87106 | + | 2.08595i | −0.0325585 | + | 0.0236551i | ||||
\(7\) | −52.3175 | − | 161.017i | −0.403554 | − | 1.24201i | −0.922097 | − | 0.386960i | \(-0.873525\pi\) |
0.518543 | − | 0.855052i | \(-0.326475\pi\) | |||||||
\(8\) | 7.77944 | − | 23.9427i | 0.0429757 | − | 0.132266i | ||||
\(9\) | −65.5304 | − | 47.6106i | −0.269672 | − | 0.195928i | ||||
\(10\) | −8.43465 | −0.0266727 | ||||||||
\(11\) | −52.4927 | − | 397.864i | −0.130803 | − | 0.991408i | ||||
\(12\) | 286.601 | 0.574545 | ||||||||
\(13\) | −256.745 | − | 186.536i | −0.421351 | − | 0.306130i | 0.356830 | − | 0.934169i | \(-0.383858\pi\) |
−0.778181 | + | 0.628040i | \(0.783858\pi\) | |||||||
\(14\) | 20.6295 | − | 63.4911i | 0.0281300 | − | 0.0865751i | ||||
\(15\) | −59.4908 | − | 183.094i | −0.0682687 | − | 0.210109i | ||||
\(16\) | −816.377 | + | 593.133i | −0.797243 | + | 0.579231i | ||||
\(17\) | −406.637 | + | 295.439i | −0.341260 | + | 0.247940i | −0.745193 | − | 0.666849i | \(-0.767643\pi\) |
0.403934 | + | 0.914788i | \(0.367643\pi\) | |||||||
\(18\) | −9.86983 | − | 30.3762i | −0.00718007 | − | 0.0220980i | ||||
\(19\) | −53.6197 | + | 165.024i | −0.0340753 | + | 0.104873i | −0.966648 | − | 0.256110i | \(-0.917559\pi\) |
0.932572 | + | 0.360984i | \(0.117559\pi\) | |||||||
\(20\) | 551.083 | + | 400.385i | 0.308065 | + | 0.223822i | ||||
\(21\) | 1523.73 | 0.753978 | ||||||||
\(22\) | 75.4682 | − | 139.088i | 0.0332435 | − | 0.0612677i | ||||
\(23\) | 3677.58 | 1.44958 | 0.724791 | − | 0.688969i | \(-0.241936\pi\) | ||||
0.724791 | + | 0.688969i | \(0.241936\pi\) | |||||||
\(24\) | 183.302 | + | 133.176i | 0.0649588 | + | 0.0471953i | ||||
\(25\) | −824.284 | + | 2536.88i | −0.263771 | + | 0.811803i | ||||
\(26\) | −38.6696 | − | 119.013i | −0.0112185 | − | 0.0345271i | ||||
\(27\) | 589.773 | − | 428.495i | 0.155695 | − | 0.113119i | ||||
\(28\) | −4361.71 | + | 3168.97i | −1.05138 | + | 0.763876i | ||||
\(29\) | 810.645 | + | 2494.91i | 0.178993 | + | 0.550884i | 0.999793 | − | 0.0203316i | \(-0.00647219\pi\) |
−0.820800 | + | 0.571215i | \(0.806472\pi\) | |||||||
\(30\) | 23.4581 | − | 72.1965i | 0.00475871 | − | 0.0146458i | ||||
\(31\) | −2054.46 | − | 1492.65i | −0.383966 | − | 0.278968i | 0.379012 | − | 0.925392i | \(-0.376264\pi\) |
−0.762978 | + | 0.646424i | \(0.776264\pi\) | |||||||
\(32\) | −1203.49 | −0.207764 | ||||||||
\(33\) | 3551.51 | + | 657.208i | 0.567712 | + | 0.105055i | ||||
\(34\) | −198.195 | −0.0294032 | ||||||||
\(35\) | 2929.86 | + | 2128.67i | 0.404275 | + | 0.293723i | ||||
\(36\) | −797.080 | + | 2453.16i | −0.102505 | + | 0.315478i | ||||
\(37\) | −3879.42 | − | 11939.6i | −0.465868 | − | 1.43379i | −0.857888 | − | 0.513837i | \(-0.828223\pi\) |
0.392019 | − | 0.919957i | \(-0.371777\pi\) | |||||||
\(38\) | −55.3531 | + | 40.2164i | −0.00621846 | + | 0.00451797i | ||||
\(39\) | 2310.71 | − | 1678.83i | 0.243267 | − | 0.176744i | ||||
\(40\) | 166.408 | + | 512.150i | 0.0164446 | + | 0.0506112i | ||||
\(41\) | 5963.90 | − | 18355.0i | 0.554078 | − | 1.70528i | −0.144289 | − | 0.989536i | \(-0.546089\pi\) |
0.698366 | − | 0.715740i | \(-0.253911\pi\) | |||||||
\(42\) | 486.079 | + | 353.157i | 0.0425191 | + | 0.0308919i | ||||
\(43\) | −6550.25 | −0.540240 | −0.270120 | − | 0.962827i | \(-0.587063\pi\) | ||||
−0.270120 | + | 0.962827i | \(0.587063\pi\) | |||||||
\(44\) | −11533.1 | + | 5504.97i | −0.898080 | + | 0.428670i | ||||
\(45\) | 1732.65 | 0.127549 | ||||||||
\(46\) | 1173.17 | + | 852.360i | 0.0817462 | + | 0.0593921i | ||||
\(47\) | 2398.65 | − | 7382.30i | 0.158388 | − | 0.487469i | −0.840100 | − | 0.542431i | \(-0.817504\pi\) |
0.998488 | + | 0.0549623i | \(0.0175039\pi\) | |||||||
\(48\) | −2806.46 | − | 8637.38i | −0.175815 | − | 0.541102i | ||||
\(49\) | −9592.08 | + | 6969.06i | −0.570720 | + | 0.414652i | ||||
\(50\) | −850.931 | + | 618.238i | −0.0481359 | + | 0.0349728i | ||||
\(51\) | −1397.89 | − | 4302.28i | −0.0752573 | − | 0.231618i | ||||
\(52\) | −3122.93 | + | 9611.39i | −0.160160 | + | 0.492921i | ||||
\(53\) | 1394.41 | + | 1013.10i | 0.0681868 | + | 0.0495406i | 0.621357 | − | 0.783528i | \(-0.286582\pi\) |
−0.553170 | + | 0.833069i | \(0.686582\pi\) | |||||||
\(54\) | 287.455 | 0.0134148 | ||||||||
\(55\) | 5910.80 | + | 6225.21i | 0.263475 | + | 0.277490i | ||||
\(56\) | −4262.17 | −0.181619 | ||||||||
\(57\) | −1263.40 | − | 917.916i | −0.0515056 | − | 0.0374210i | ||||
\(58\) | −319.649 | + | 983.778i | −0.0124768 | + | 0.0383996i | ||||
\(59\) | 7120.70 | + | 21915.2i | 0.266313 | + | 0.819627i | 0.991388 | + | 0.130957i | \(0.0418051\pi\) |
−0.725075 | + | 0.688670i | \(0.758195\pi\) | |||||||
\(60\) | −4959.75 | + | 3603.47i | −0.177861 | + | 0.129224i | ||||
\(61\) | 36237.4 | − | 26328.0i | 1.24690 | − | 0.905928i | 0.248865 | − | 0.968538i | \(-0.419942\pi\) |
0.998038 | + | 0.0626098i | \(0.0199424\pi\) | |||||||
\(62\) | −309.431 | − | 952.331i | −0.0102232 | − | 0.0314636i | ||||
\(63\) | −4237.72 | + | 13042.3i | −0.134518 | + | 0.414004i | ||||
\(64\) | 25740.1 | + | 18701.3i | 0.785527 | + | 0.570719i | ||||
\(65\) | 6788.44 | 0.199290 | ||||||||
\(66\) | 980.633 | + | 1032.79i | 0.0277106 | + | 0.0291846i | ||||
\(67\) | 23398.4 | 0.636794 | 0.318397 | − | 0.947957i | \(-0.396856\pi\) | ||||
0.318397 | + | 0.947957i | \(0.396856\pi\) | |||||||
\(68\) | 12949.2 | + | 9408.12i | 0.339601 | + | 0.246735i | ||||
\(69\) | −10227.9 | + | 31478.3i | −0.258621 | + | 0.795955i | ||||
\(70\) | 441.280 | + | 1358.12i | 0.0107639 | + | 0.0331278i | ||||
\(71\) | −52400.9 | + | 38071.5i | −1.23365 | + | 0.896302i | −0.997159 | − | 0.0753310i | \(-0.975999\pi\) |
−0.236495 | + | 0.971633i | \(0.575999\pi\) | |||||||
\(72\) | −1649.71 | + | 1198.59i | −0.0375040 | + | 0.0272482i | ||||
\(73\) | −17999.1 | − | 55395.6i | −0.395315 | − | 1.21666i | −0.928716 | − | 0.370793i | \(-0.879086\pi\) |
0.533400 | − | 0.845863i | \(-0.320914\pi\) | |||||||
\(74\) | 1529.71 | − | 4707.97i | 0.0324736 | − | 0.0999434i | ||||
\(75\) | −19422.0 | − | 14110.9i | −0.398696 | − | 0.289669i | ||||
\(76\) | 5525.56 | 0.109734 | ||||||||
\(77\) | −61316.4 | + | 29267.4i | −1.17855 | + | 0.562545i | ||||
\(78\) | 1126.24 | 0.0209601 | ||||||||
\(79\) | 66074.5 | + | 48005.9i | 1.19115 | + | 0.865420i | 0.993385 | − | 0.114830i | \(-0.0366323\pi\) |
0.197763 | + | 0.980250i | \(0.436632\pi\) | |||||||
\(80\) | 6670.22 | − | 20528.8i | 0.116524 | − | 0.358624i | ||||
\(81\) | 2027.46 | + | 6239.88i | 0.0343352 | + | 0.105673i | ||||
\(82\) | 6156.70 | − | 4473.10i | 0.101114 | − | 0.0734640i | ||||
\(83\) | 80788.6 | − | 58696.3i | 1.28723 | − | 0.935224i | 0.287480 | − | 0.957787i | \(-0.407182\pi\) |
0.999745 | + | 0.0225622i | \(0.00718239\pi\) | |||||||
\(84\) | −14994.2 | − | 46147.5i | −0.231860 | − | 0.713591i | ||||
\(85\) | 3322.44 | − | 10225.4i | 0.0498780 | − | 0.153509i | ||||
\(86\) | −2089.57 | − | 1518.16i | −0.0304657 | − | 0.0221347i | ||||
\(87\) | −23609.7 | −0.334420 | ||||||||
\(88\) | −9934.28 | − | 1838.34i | −0.136751 | − | 0.0253058i | ||||
\(89\) | −68399.2 | −0.915327 | −0.457663 | − | 0.889126i | \(-0.651314\pi\) | ||||
−0.457663 | + | 0.889126i | \(0.651314\pi\) | |||||||
\(90\) | 552.726 | + | 401.579i | 0.00719289 | + | 0.00522594i | ||||
\(91\) | −16603.2 | + | 51099.4i | −0.210178 | + | 0.646863i | ||||
\(92\) | −36189.2 | − | 111379.i | −0.445769 | − | 1.37194i | ||||
\(93\) | 18490.1 | − | 13433.9i | 0.221683 | − | 0.161062i | ||||
\(94\) | 2476.20 | − | 1799.06i | 0.0289045 | − | 0.0210004i | ||||
\(95\) | −1146.96 | − | 3529.99i | −0.0130389 | − | 0.0401295i | ||||
\(96\) | 3347.10 | − | 10301.3i | 0.0370673 | − | 0.114081i | ||||
\(97\) | −100346. | − | 72905.7i | −1.08286 | − | 0.786742i | −0.104678 | − | 0.994506i | \(-0.533381\pi\) |
−0.978179 | + | 0.207764i | \(0.933381\pi\) | |||||||
\(98\) | −4675.17 | −0.0491737 | ||||||||
\(99\) | −15502.7 | + | 28571.4i | −0.158971 | + | 0.292983i | ||||
\(100\) | 84943.3 | 0.849433 | ||||||||
\(101\) | 89319.2 | + | 64894.2i | 0.871247 | + | 0.632998i | 0.930921 | − | 0.365220i | \(-0.119006\pi\) |
−0.0596740 | + | 0.998218i | \(0.519006\pi\) | |||||||
\(102\) | 551.209 | − | 1696.45i | 0.00524585 | − | 0.0161451i | ||||
\(103\) | −34954.6 | − | 107579.i | −0.324647 | − | 0.999161i | −0.971600 | − | 0.236631i | \(-0.923957\pi\) |
0.646953 | − | 0.762530i | \(-0.276043\pi\) | |||||||
\(104\) | −6463.51 | + | 4696.02i | −0.0585983 | + | 0.0425742i | ||||
\(105\) | −26368.7 | + | 19158.0i | −0.233408 | + | 0.169581i | ||||
\(106\) | 210.018 | + | 646.370i | 0.00181548 | + | 0.00558749i | ||||
\(107\) | −2469.04 | + | 7598.92i | −0.0208482 | + | 0.0641641i | −0.960939 | − | 0.276759i | \(-0.910740\pi\) |
0.940091 | + | 0.340923i | \(0.110740\pi\) | |||||||
\(108\) | −18781.0 | − | 13645.2i | −0.154939 | − | 0.112570i | ||||
\(109\) | −77226.3 | −0.622586 | −0.311293 | − | 0.950314i | \(-0.600762\pi\) | ||||
−0.311293 | + | 0.950314i | \(0.600762\pi\) | |||||||
\(110\) | 442.757 | + | 3355.84i | 0.00348886 | + | 0.0264435i | ||||
\(111\) | 112987. | 0.870402 | ||||||||
\(112\) | 138215. | + | 100419.i | 1.04114 | + | 0.756434i | ||||
\(113\) | −45019.1 | + | 138555.i | −0.331666 | + | 1.02076i | 0.636675 | + | 0.771132i | \(0.280309\pi\) |
−0.968341 | + | 0.249630i | \(0.919691\pi\) | |||||||
\(114\) | −190.287 | − | 585.643i | −0.00137135 | − | 0.00422057i | ||||
\(115\) | −63642.1 | + | 46238.7i | −0.448745 | + | 0.326033i | ||||
\(116\) | 67583.5 | − | 49102.3i | 0.466333 | − | 0.338810i | ||||
\(117\) | 7943.51 | + | 24447.6i | 0.0536473 | + | 0.165109i | ||||
\(118\) | −2807.79 | + | 8641.49i | −0.0185635 | + | 0.0571326i | ||||
\(119\) | 68844.8 | + | 50018.7i | 0.445660 | + | 0.323791i | ||||
\(120\) | −4846.56 | −0.0307242 | ||||||||
\(121\) | −155540. | + | 41769.8i | −0.965781 | + | 0.259358i | ||||
\(122\) | 17662.1 | 0.107434 | ||||||||
\(123\) | 140523. | + | 102096.i | 0.837501 | + | 0.608480i | ||||
\(124\) | −24989.4 | + | 76909.6i | −0.145949 | + | 0.449186i | ||||
\(125\) | −38288.5 | − | 117840.i | −0.219176 | − | 0.674555i | ||||
\(126\) | −4374.71 | + | 3178.41i | −0.0245484 | + | 0.0178354i | ||||
\(127\) | −75038.2 | + | 54518.4i | −0.412832 | + | 0.299940i | −0.774747 | − | 0.632271i | \(-0.782123\pi\) |
0.361915 | + | 0.932211i | \(0.382123\pi\) | |||||||
\(128\) | 15777.7 | + | 48558.6i | 0.0851172 | + | 0.261964i | ||||
\(129\) | 18217.2 | − | 56066.9i | 0.0963848 | − | 0.296642i | ||||
\(130\) | 2165.56 | + | 1573.37i | 0.0112386 | + | 0.00816530i | ||||
\(131\) | 289270. | 1.47274 | 0.736368 | − | 0.676582i | \(-0.236539\pi\) | ||||
0.736368 | + | 0.676582i | \(0.236539\pi\) | |||||||
\(132\) | −15044.4 | − | 114028.i | −0.0751521 | − | 0.569609i | ||||
\(133\) | 29376.9 | 0.144005 | ||||||||
\(134\) | 7464.24 | + | 5423.09i | 0.0359107 | + | 0.0260906i | ||||
\(135\) | −4818.75 | + | 14830.6i | −0.0227562 | + | 0.0700365i | ||||
\(136\) | 3910.19 | + | 12034.3i | 0.0181280 | + | 0.0557923i | ||||
\(137\) | −207140. | + | 150496.i | −0.942893 | + | 0.685052i | −0.949115 | − | 0.314929i | \(-0.898019\pi\) |
0.00622204 | + | 0.999981i | \(0.498019\pi\) | |||||||
\(138\) | −10558.6 | + | 7671.24i | −0.0471962 | + | 0.0342900i | ||||
\(139\) | −49360.6 | − | 151916.i | −0.216692 | − | 0.666910i | −0.999029 | − | 0.0440545i | \(-0.985972\pi\) |
0.782337 | − | 0.622855i | \(-0.214028\pi\) | |||||||
\(140\) | 35637.4 | − | 109681.i | 0.153669 | − | 0.472944i | ||||
\(141\) | 56517.8 | + | 41062.6i | 0.239408 | + | 0.173940i | ||||
\(142\) | −25540.2 | −0.106293 | ||||||||
\(143\) | −60738.8 | + | 111941.i | −0.248386 | + | 0.457774i | ||||
\(144\) | 81736.9 | 0.328482 | ||||||||
\(145\) | −45397.4 | − | 32983.1i | −0.179313 | − | 0.130278i | ||||
\(146\) | 7097.30 | − | 21843.2i | 0.0275557 | − | 0.0848077i | ||||
\(147\) | −32974.7 | − | 101486.i | −0.125860 | − | 0.387356i | ||||
\(148\) | −323428. | + | 234984.i | −1.21373 | + | 0.881828i | ||||
\(149\) | 260249. | − | 189082.i | 0.960335 | − | 0.697724i | 0.00710644 | − | 0.999975i | \(-0.497738\pi\) |
0.953229 | + | 0.302251i | \(0.0977379\pi\) | |||||||
\(150\) | −2925.24 | − | 9002.97i | −0.0106153 | − | 0.0326706i | ||||
\(151\) | 76722.8 | − | 236129.i | 0.273831 | − | 0.842764i | −0.715696 | − | 0.698412i | \(-0.753890\pi\) |
0.989526 | − | 0.144352i | \(-0.0461098\pi\) | |||||||
\(152\) | 3533.99 | + | 2567.59i | 0.0124067 | + | 0.00901400i | ||||
\(153\) | 40713.1 | 0.140607 | ||||||||
\(154\) | −26343.7 | − | 4874.92i | −0.0895107 | − | 0.0165640i | ||||
\(155\) | 54320.6 | 0.181608 | ||||||||
\(156\) | −73583.4 | − | 53461.5i | −0.242085 | − | 0.175885i | ||||
\(157\) | −18470.7 | + | 56846.9i | −0.0598045 | + | 0.184059i | −0.976496 | − | 0.215537i | \(-0.930850\pi\) |
0.916691 | + | 0.399596i | \(0.130850\pi\) | |||||||
\(158\) | 9951.78 | + | 30628.4i | 0.0317145 | + | 0.0976072i | ||||
\(159\) | −12549.7 | + | 9117.88i | −0.0393677 | + | 0.0286023i | ||||
\(160\) | 20827.0 | − | 15131.7i | 0.0643171 | − | 0.0467291i | ||||
\(161\) | −192402. | − | 592152.i | −0.584984 | − | 1.80040i | ||||
\(162\) | −799.456 | + | 2460.47i | −0.00239336 | + | 0.00736599i | ||||
\(163\) | −33037.2 | − | 24002.9i | −0.0973944 | − | 0.0707612i | 0.538022 | − | 0.842931i | \(-0.319172\pi\) |
−0.635417 | + | 0.772169i | \(0.719172\pi\) | |||||||
\(164\) | −614586. | −1.78432 | ||||||||
\(165\) | −69723.5 | + | 33280.3i | −0.199374 | + | 0.0951650i | ||||
\(166\) | 39376.3 | 0.110908 | ||||||||
\(167\) | 58126.8 | + | 42231.6i | 0.161282 | + | 0.117178i | 0.665499 | − | 0.746399i | \(-0.268219\pi\) |
−0.504217 | + | 0.863577i | \(0.668219\pi\) | |||||||
\(168\) | 11853.7 | − | 36482.0i | 0.0324028 | − | 0.0997254i | ||||
\(169\) | −83613.5 | − | 257336.i | −0.225195 | − | 0.693080i | ||||
\(170\) | 3429.84 | − | 2491.93i | 0.00910231 | − | 0.00661322i | ||||
\(171\) | 11370.6 | − | 8261.24i | 0.0297368 | − | 0.0216050i | ||||
\(172\) | 64457.7 | + | 198380.i | 0.166132 | + | 0.511302i | ||||
\(173\) | −47686.2 | + | 146763.i | −0.121137 | + | 0.372822i | −0.993178 | − | 0.116612i | \(-0.962797\pi\) |
0.872040 | + | 0.489434i | \(0.162797\pi\) | |||||||
\(174\) | −7531.66 | − | 5472.07i | −0.0188590 | − | 0.0137018i | ||||
\(175\) | 451605. | 1.11471 | ||||||||
\(176\) | 278840. | + | 293672.i | 0.678536 | + | 0.714629i | ||||
\(177\) | −207387. | −0.497565 | ||||||||
\(178\) | −21819.8 | − | 15853.0i | −0.0516180 | − | 0.0375027i | ||||
\(179\) | 57933.8 | − | 178302.i | 0.135145 | − | 0.415933i | −0.860468 | − | 0.509505i | \(-0.829829\pi\) |
0.995613 | + | 0.0935721i | \(0.0298286\pi\) | |||||||
\(180\) | −17050.1 | − | 52474.8i | −0.0392234 | − | 0.120717i | ||||
\(181\) | 474882. | − | 345022.i | 1.07743 | − | 0.782799i | 0.100198 | − | 0.994968i | \(-0.468053\pi\) |
0.977233 | + | 0.212168i | \(0.0680525\pi\) | |||||||
\(182\) | −17139.9 | + | 12452.9i | −0.0383558 | + | 0.0278671i | ||||
\(183\) | 124573. | + | 383397.i | 0.274977 | + | 0.846293i | ||||
\(184\) | 28609.5 | − | 88051.0i | 0.0622968 | − | 0.191730i | ||||
\(185\) | 217254. | + | 157844.i | 0.466700 | + | 0.339078i | ||||
\(186\) | 9012.06 | 0.0191004 | ||||||||
\(187\) | 138890. | + | 146278.i | 0.290447 | + | 0.305896i | ||||
\(188\) | −247184. | −0.510065 | ||||||||
\(189\) | −99850.3 | − | 72545.5i | −0.203327 | − | 0.147726i | ||||
\(190\) | 452.263 | − | 1391.92i | 0.000908881 | − | 0.00279725i | ||||
\(191\) | 293650. | + | 903762.i | 0.582434 | + | 1.79255i | 0.609341 | + | 0.792909i | \(0.291434\pi\) |
−0.0269070 | + | 0.999638i | \(0.508566\pi\) | |||||||
\(192\) | −231661. | + | 168312.i | −0.453524 | + | 0.329505i | ||||
\(193\) | 76125.5 | − | 55308.4i | 0.147108 | − | 0.106880i | −0.511797 | − | 0.859107i | \(-0.671020\pi\) |
0.658905 | + | 0.752226i | \(0.271020\pi\) | |||||||
\(194\) | −15113.6 | − | 46514.8i | −0.0288312 | − | 0.0887334i | ||||
\(195\) | −18879.7 | + | 58105.7i | −0.0355556 | + | 0.109429i | ||||
\(196\) | 305455. | + | 221926.i | 0.567947 | + | 0.412637i | ||||
\(197\) | −1.02342e6 | −1.87884 | −0.939418 | − | 0.342773i | \(-0.888634\pi\) | ||||
−0.939418 | + | 0.342773i | \(0.888634\pi\) | |||||||
\(198\) | −11567.5 | + | 5521.38i | −0.0209689 | + | 0.0100089i | ||||
\(199\) | −108894. | −0.194926 | −0.0974630 | − | 0.995239i | \(-0.531073\pi\) | ||||
−0.0974630 | + | 0.995239i | \(0.531073\pi\) | |||||||
\(200\) | 54327.3 | + | 39471.1i | 0.0960380 | + | 0.0697757i | ||||
\(201\) | −65074.5 | + | 200279.i | −0.113611 | + | 0.349659i | ||||
\(202\) | 13452.8 | + | 41403.4i | 0.0231971 | + | 0.0713933i | ||||
\(203\) | 359311. | − | 261055.i | 0.611970 | − | 0.444622i | ||||
\(204\) | −116542. | + | 84673.1i | −0.196069 | + | 0.142452i | ||||
\(205\) | 127572. | + | 392626.i | 0.212017 | + | 0.652521i | ||||
\(206\) | 13783.1 | − | 42420.0i | 0.0226297 | − | 0.0696471i | ||||
\(207\) | −240993. | − | 175092.i | −0.390912 | − | 0.284014i | ||||
\(208\) | 320242. | 0.513239 | ||||||||
\(209\) | 68471.9 | + | 12670.8i | 0.108429 | + | 0.0200649i | ||||
\(210\) | −12852.1 | −0.0201106 | ||||||||
\(211\) | 353208. | + | 256620.i | 0.546165 | + | 0.396812i | 0.826370 | − | 0.563128i | \(-0.190402\pi\) |
−0.280205 | + | 0.959940i | \(0.590402\pi\) | |||||||
\(212\) | 16960.9 | − | 52200.4i | 0.0259185 | − | 0.0797689i | ||||
\(213\) | −180138. | − | 554409.i | −0.272055 | − | 0.837300i | ||||
\(214\) | −2548.86 | + | 1851.85i | −0.00380462 | + | 0.00276422i | ||||
\(215\) | 113355. | − | 82357.2i | 0.167242 | − | 0.121508i | ||||
\(216\) | −5671.21 | − | 17454.2i | −0.00827068 | − | 0.0254545i | ||||
\(217\) | −132858. | + | 408893.i | −0.191530 | + | 0.589469i | ||||
\(218\) | −24635.7 | − | 17898.9i | −0.0351094 | − | 0.0255085i | ||||
\(219\) | 524217. | 0.738586 | ||||||||
\(220\) | 130371. | − | 240273.i | 0.181603 | − | 0.334695i | ||||
\(221\) | 159512. | 0.219692 | ||||||||
\(222\) | 36043.5 | + | 26187.2i | 0.0490846 | + | 0.0356620i | ||||
\(223\) | 57179.2 | − | 175980.i | 0.0769974 | − | 0.236974i | −0.905148 | − | 0.425096i | \(-0.860240\pi\) |
0.982146 | + | 0.188123i | \(0.0602402\pi\) | |||||||
\(224\) | 62963.8 | + | 193783.i | 0.0838438 | + | 0.258045i | ||||
\(225\) | 174798. | − | 126998.i | 0.230187 | − | 0.167241i | ||||
\(226\) | −46474.5 | + | 33765.7i | −0.0605262 | + | 0.0439749i | ||||
\(227\) | −213473. | − | 657002.i | −0.274965 | − | 0.846256i | −0.989229 | − | 0.146379i | \(-0.953238\pi\) |
0.714263 | − | 0.699877i | \(-0.246762\pi\) | |||||||
\(228\) | −15367.4 | + | 47296.1i | −0.0195778 | + | 0.0602543i | ||||
\(229\) | −705376. | − | 512486.i | −0.888858 | − | 0.645793i | 0.0467224 | − | 0.998908i | \(-0.485122\pi\) |
−0.935580 | + | 0.353115i | \(0.885122\pi\) | |||||||
\(230\) | −31019.1 | −0.0386643 | ||||||||
\(231\) | −79984.4 | − | 606235.i | −0.0986224 | − | 0.747500i | ||||
\(232\) | 66041.1 | 0.0805554 | ||||||||
\(233\) | −1.10899e6 | − | 805729.i | −1.33825 | − | 0.972298i | −0.999506 | − | 0.0314204i | \(-0.989997\pi\) |
−0.338747 | − | 0.940878i | \(-0.610003\pi\) | |||||||
\(234\) | −3132.24 | + | 9640.04i | −0.00373951 | + | 0.0115090i | ||||
\(235\) | 51308.9 | + | 157912.i | 0.0606070 | + | 0.186529i | ||||
\(236\) | 593653. | − | 431314.i | 0.693829 | − | 0.504096i | ||||
\(237\) | −594670. | + | 432053.i | −0.687710 | + | 0.499650i | ||||
\(238\) | 10369.0 | + | 31912.6i | 0.0118658 | + | 0.0365191i | ||||
\(239\) | −276041. | + | 849566.i | −0.312593 | + | 0.962061i | 0.664142 | + | 0.747607i | \(0.268797\pi\) |
−0.976734 | + | 0.214454i | \(0.931203\pi\) | |||||||
\(240\) | 157166. | + | 114188.i | 0.176129 | + | 0.127965i | ||||
\(241\) | 375938. | 0.416940 | 0.208470 | − | 0.978029i | \(-0.433152\pi\) | ||||
0.208470 | + | 0.978029i | \(0.433152\pi\) | |||||||
\(242\) | −59299.4 | − | 22725.0i | −0.0650897 | − | 0.0249439i | ||||
\(243\) | −59049.0 | −0.0641500 | ||||||||
\(244\) | −1.15396e6 | − | 838404.i | −1.24084 | − | 0.901527i | ||||
\(245\) | 78372.3 | − | 241205.i | 0.0834156 | − | 0.256727i | ||||
\(246\) | 21164.9 | + | 65138.7i | 0.0222986 | + | 0.0686280i | ||||
\(247\) | 44549.7 | − | 32367.2i | 0.0464624 | − | 0.0337569i | ||||
\(248\) | −51720.5 | + | 37577.2i | −0.0533991 | + | 0.0387967i | ||||
\(249\) | 277726. | + | 854754.i | 0.283870 | + | 0.873661i | ||||
\(250\) | 15097.7 | − | 46466.0i | 0.0152778 | − | 0.0470202i | ||||
\(251\) | −456531. | − | 331689.i | −0.457389 | − | 0.332312i | 0.335117 | − | 0.942176i | \(-0.391224\pi\) |
−0.792506 | + | 0.609864i | \(0.791224\pi\) | |||||||
\(252\) | 436701. | 0.433194 | ||||||||
\(253\) | −193046. | − | 1.46318e6i | −0.189609 | − | 1.43713i | ||||
\(254\) | −36573.5 | −0.0355699 | ||||||||
\(255\) | 78284.2 | + | 56876.8i | 0.0753918 | + | 0.0547753i | ||||
\(256\) | 308398. | − | 949152.i | 0.294111 | − | 0.905182i | ||||
\(257\) | 589738. | + | 1.81503e6i | 0.556963 | + | 1.71416i | 0.690703 | + | 0.723139i | \(0.257301\pi\) |
−0.133740 | + | 0.991016i | \(0.542699\pi\) | |||||||
\(258\) | 18806.2 | − | 13663.5i | 0.0175894 | − | 0.0127794i | ||||
\(259\) | −1.71952e6 | + | 1.24930e6i | −1.59279 | + | 1.15723i | ||||
\(260\) | −66801.6 | − | 205594.i | −0.0612849 | − | 0.188616i | ||||
\(261\) | 65662.3 | − | 202088.i | 0.0596643 | − | 0.183628i | ||||
\(262\) | 92279.0 | + | 67044.6i | 0.0830519 | + | 0.0603407i | ||||
\(263\) | 995773. | 0.887710 | 0.443855 | − | 0.896099i | \(-0.353611\pi\) | ||||
0.443855 | + | 0.896099i | \(0.353611\pi\) | |||||||
\(264\) | 43364.1 | − | 79919.8i | 0.0382931 | − | 0.0705740i | ||||
\(265\) | −36868.7 | −0.0322510 | ||||||||
\(266\) | 9371.44 | + | 6808.75i | 0.00812086 | + | 0.00590015i | ||||
\(267\) | 190229. | − | 585464.i | 0.163304 | − | 0.502599i | ||||
\(268\) | −230252. | − | 708642.i | −0.195824 | − | 0.602684i | ||||
\(269\) | 233847. | − | 169900.i | 0.197039 | − | 0.143157i | −0.484891 | − | 0.874574i | \(-0.661141\pi\) |
0.681930 | + | 0.731417i | \(0.261141\pi\) | |||||||
\(270\) | −4974.53 | + | 3614.21i | −0.00415282 | + | 0.00301720i | ||||
\(271\) | 714147. | + | 2.19792e6i | 0.590697 | + | 1.81798i | 0.575076 | + | 0.818100i | \(0.304973\pi\) |
0.0156211 | + | 0.999878i | \(0.495027\pi\) | |||||||
\(272\) | 156735. | − | 482380.i | 0.128453 | − | 0.395336i | ||||
\(273\) | −391210. | − | 284230.i | −0.317690 | − | 0.230815i | ||||
\(274\) | −100960. | −0.0812404 | ||||||||
\(275\) | 1.05260e6 | + | 194785.i | 0.839330 | + | 0.155319i | ||||
\(276\) | 1.05400e6 | 0.832850 | ||||||||
\(277\) | 36658.3 | + | 26633.8i | 0.0287060 | + | 0.0208562i | 0.602046 | − | 0.798462i | \(-0.294352\pi\) |
−0.573340 | + | 0.819318i | \(0.694352\pi\) | |||||||
\(278\) | 19463.6 | − | 59902.7i | 0.0151046 | − | 0.0464873i | ||||
\(279\) | 63563.4 | + | 195628.i | 0.0488873 | + | 0.150460i | ||||
\(280\) | 73758.6 | − | 53588.8i | 0.0562235 | − | 0.0408487i | ||||
\(281\) | 1.69835e6 | − | 1.23392e6i | 1.28310 | − | 0.932227i | 0.283458 | − | 0.958985i | \(-0.408518\pi\) |
0.999642 | + | 0.0267578i | \(0.00851830\pi\) | |||||||
\(282\) | 8512.41 | + | 26198.5i | 0.00637426 | + | 0.0196180i | ||||
\(283\) | −490898. | + | 1.51083e6i | −0.364356 | + | 1.12137i | 0.586028 | + | 0.810291i | \(0.300691\pi\) |
−0.950384 | + | 0.311080i | \(0.899309\pi\) | |||||||
\(284\) | 1.66868e6 | + | 1.21237e6i | 1.22766 | + | 0.891947i | ||||
\(285\) | 33404.8 | 0.0243611 | ||||||||
\(286\) | −45321.0 | + | 21632.5i | −0.0327631 | + | 0.0156384i | ||||
\(287\) | −3.26748e6 | −2.34157 | ||||||||
\(288\) | 78865.5 | + | 57299.1i | 0.0560281 | + | 0.0407068i | ||||
\(289\) | −360690. | + | 1.11009e6i | −0.254033 | + | 0.781833i | ||||
\(290\) | −6837.51 | − | 21043.7i | −0.00477423 | − | 0.0146936i | ||||
\(291\) | 903115. | − | 656151.i | 0.625188 | − | 0.454226i | ||||
\(292\) | −1.50059e6 | + | 1.09024e6i | −1.02992 | + | 0.748281i | ||||
\(293\) | 243937. | + | 750760.i | 0.166000 | + | 0.510895i | 0.999109 | − | 0.0422140i | \(-0.0134411\pi\) |
−0.833109 | + | 0.553109i | \(0.813441\pi\) | |||||||
\(294\) | 13002.4 | − | 40017.2i | 0.00877312 | − | 0.0270009i | ||||
\(295\) | −398770. | − | 289723.i | −0.266789 | − | 0.193833i | ||||
\(296\) | −316046. | −0.209663 | ||||||||
\(297\) | −201442. | − | 212157.i | −0.132513 | − | 0.139561i | ||||
\(298\) | 126845. | 0.0827432 | ||||||||
\(299\) | −944202. | − | 686003.i | −0.610783 | − | 0.443760i | ||||
\(300\) | −236240. | + | 727073.i | −0.151548 | + | 0.466417i | ||||
\(301\) | 342693. | + | 1.05470e6i | 0.218016 | + | 0.670984i | ||||
\(302\) | 79203.1 | − | 57544.4i | 0.0499718 | − | 0.0363066i | ||||
\(303\) | −803873. | + | 584048.i | −0.503015 | + | 0.365462i | ||||
\(304\) | −54107.5 | − | 166526.i | −0.0335794 | − | 0.103347i | ||||
\(305\) | −296078. | + | 911236.i | −0.182246 | + | 0.560895i | ||||
\(306\) | 12987.8 | + | 9436.16i | 0.00792923 | + | 0.00576092i | ||||
\(307\) | −1.57084e6 | −0.951234 | −0.475617 | − | 0.879653i | \(-0.657775\pi\) | ||||
−0.475617 | + | 0.879653i | \(0.657775\pi\) | |||||||
\(308\) | 1.48977e6 | + | 1.56902e6i | 0.894837 | + | 0.942434i | ||||
\(309\) | 1.01804e6 | 0.606553 | ||||||||
\(310\) | 17328.6 | + | 12590.0i | 0.0102414 | + | 0.00744082i | ||||
\(311\) | 895960. | − | 2.75748e6i | 0.525276 | − | 1.61663i | −0.238493 | − | 0.971144i | \(-0.576653\pi\) |
0.763769 | − | 0.645489i | \(-0.223347\pi\) | |||||||
\(312\) | −22219.6 | − | 68384.8i | −0.0129226 | − | 0.0397716i | ||||
\(313\) | 1.45879e6 | − | 1.05988e6i | 0.841652 | − | 0.611496i | −0.0811793 | − | 0.996700i | \(-0.525869\pi\) |
0.922832 | + | 0.385203i | \(0.125869\pi\) | |||||||
\(314\) | −19067.8 | + | 13853.6i | −0.0109138 | + | 0.00792934i | ||||
\(315\) | −90647.6 | − | 278985.i | −0.0514731 | − | 0.158418i | ||||
\(316\) | 803698. | − | 2.47353e6i | 0.452768 | − | 1.39348i | ||||
\(317\) | 933850. | + | 678481.i | 0.521950 | + | 0.379219i | 0.817338 | − | 0.576159i | \(-0.195449\pi\) |
−0.295388 | + | 0.955377i | \(0.595449\pi\) | |||||||
\(318\) | −6116.70 | −0.00339195 | ||||||||
\(319\) | 950081. | − | 453491.i | 0.522738 | − | 0.249512i | ||||
\(320\) | −680578. | −0.371538 | ||||||||
\(321\) | −58176.2 | − | 42267.5i | −0.0315125 | − | 0.0228952i | ||||
\(322\) | 75866.7 | − | 233494.i | 0.0407767 | − | 0.125498i | ||||
\(323\) | −26950.9 | − | 82946.4i | −0.0143737 | − | 0.0442376i | ||||
\(324\) | 169029. | − | 122807.i | 0.0894540 | − | 0.0649921i | ||||
\(325\) | 684853. | − | 497575.i | 0.359657 | − | 0.261306i | ||||
\(326\) | −4975.88 | − | 15314.2i | −0.00259314 | − | 0.00798086i | ||||
\(327\) | 214778. | − | 661019.i | 0.111076 | − | 0.341857i | ||||
\(328\) | −393072. | − | 285583.i | −0.201738 | − | 0.146571i | ||||
\(329\) | −1.31416e6 | −0.669360 | ||||||||
\(330\) | −29955.7 | − | 5543.32i | −0.0151424 | − | 0.00280211i | ||||
\(331\) | 691626. | 0.346977 | 0.173489 | − | 0.984836i | \(-0.444496\pi\) | ||||
0.173489 | + | 0.984836i | \(0.444496\pi\) | |||||||
\(332\) | −2.57267e6 | − | 1.86916e6i | −1.28097 | − | 0.930680i | ||||
\(333\) | −314233. | + | 967111.i | −0.155289 | + | 0.477931i | ||||
\(334\) | 8754.74 | + | 26944.3i | 0.00429415 | + | 0.0132160i | ||||
\(335\) | −404919. | + | 294191.i | −0.197132 | + | 0.143224i | ||||
\(336\) | −1.24394e6 | + | 903772.i | −0.601104 | + | 0.436728i | ||||
\(337\) | −497702. | − | 1.53177e6i | −0.238723 | − | 0.734715i | −0.996606 | − | 0.0823238i | \(-0.973766\pi\) |
0.757882 | − | 0.652391i | \(-0.226234\pi\) | |||||||
\(338\) | 32970.0 | − | 101471.i | 0.0156974 | − | 0.0483115i | ||||
\(339\) | −1.06075e6 | − | 770683.i | −0.501320 | − | 0.364231i | ||||
\(340\) | −342380. | −0.160624 | ||||||||
\(341\) | −486028. | + | 895747.i | −0.226347 | + | 0.417157i | ||||
\(342\) | 5542.03 | 0.00256215 | ||||||||
\(343\) | −678069. | − | 492646.i | −0.311199 | − | 0.226099i | ||||
\(344\) | −50957.3 | + | 156830.i | −0.0232172 | + | 0.0714552i | ||||
\(345\) | −218782. | − | 673342.i | −0.0989610 | − | 0.304571i | ||||
\(346\) | −49227.7 | + | 35766.0i | −0.0221065 | + | 0.0160613i | ||||
\(347\) | 3.04243e6 | − | 2.21046e6i | 1.35643 | − | 0.985504i | 0.357767 | − | 0.933811i | \(-0.383538\pi\) |
0.998663 | − | 0.0516936i | \(-0.0164619\pi\) | |||||||
\(348\) | 232331. | + | 715043.i | 0.102839 | + | 0.316507i | ||||
\(349\) | −187696. | + | 577669.i | −0.0824882 | + | 0.253873i | −0.983792 | − | 0.179316i | \(-0.942612\pi\) |
0.901303 | + | 0.433189i | \(0.142612\pi\) | |||||||
\(350\) | 144065. | + | 104669.i | 0.0628621 | + | 0.0456720i | ||||
\(351\) | −231352. | −0.100232 | ||||||||
\(352\) | 63174.6 | + | 478827.i | 0.0271760 | + | 0.205979i | ||||
\(353\) | −3.43746e6 | −1.46825 | −0.734126 | − | 0.679013i | \(-0.762408\pi\) | ||||
−0.734126 | + | 0.679013i | \(0.762408\pi\) | |||||||
\(354\) | −66158.0 | − | 48066.6i | −0.0280591 | − | 0.0203862i | ||||
\(355\) | 428143. | − | 1.31769e6i | 0.180309 | − | 0.554934i | ||||
\(356\) | 673082. | + | 2.07153e6i | 0.281477 | + | 0.866298i | ||||
\(357\) | −619604. | + | 450168.i | −0.257302 | + | 0.186941i | ||||
\(358\) | 59806.6 | − | 43452.1i | 0.0246628 | − | 0.0179185i | ||||
\(359\) | −679079. | − | 2.08999e6i | −0.278089 | − | 0.855871i | −0.988385 | − | 0.151968i | \(-0.951439\pi\) |
0.710296 | − | 0.703903i | \(-0.248561\pi\) | |||||||
\(360\) | 13479.0 | − | 41484.1i | 0.00548153 | − | 0.0168704i | ||||
\(361\) | 1.97885e6 | + | 1.43772e6i | 0.799180 | + | 0.580638i | ||||
\(362\) | 231457. | 0.0928323 | ||||||||
\(363\) | 75051.3 | − | 1.44751e6i | 0.0298945 | − | 0.576576i | ||||
\(364\) | 1.71098e6 | 0.676847 | ||||||||
\(365\) | 1.00798e6 | + | 732339.i | 0.396022 | + | 0.287726i | ||||
\(366\) | −49121.0 | + | 151179.i | −0.0191674 | + | 0.0589913i | ||||
\(367\) | 108757. | + | 334720.i | 0.0421495 | + | 0.129723i | 0.969917 | − | 0.243436i | \(-0.0782746\pi\) |
−0.927767 | + | 0.373159i | \(0.878275\pi\) | |||||||
\(368\) | −3.00229e6 | + | 2.18129e6i | −1.15567 | + | 0.839643i | ||||
\(369\) | −1.26471e6 | + | 918865.i | −0.483531 | + | 0.351306i | ||||
\(370\) | 32721.6 | + | 100707.i | 0.0124260 | + | 0.0382432i | ||||
\(371\) | 90173.6 | − | 277526.i | 0.0340130 | − | 0.104681i | ||||
\(372\) | −588809. | − | 427795.i | −0.220606 | − | 0.160279i | ||||
\(373\) | 3.93637e6 | 1.46495 | 0.732477 | − | 0.680792i | \(-0.238364\pi\) | ||||
0.732477 | + | 0.680792i | \(0.238364\pi\) | |||||||
\(374\) | 10403.8 | + | 78854.4i | 0.00384602 | + | 0.0291506i | ||||
\(375\) | 1.11514e6 | 0.409497 | ||||||||
\(376\) | −158092. | − | 114860.i | −0.0576686 | − | 0.0418987i | ||||
\(377\) | 257262. | − | 791771.i | 0.0932229 | − | 0.286911i | ||||
\(378\) | −15038.9 | − | 46285.0i | −0.00541361 | − | 0.0166614i | ||||
\(379\) | 806745. | − | 586135.i | 0.288495 | − | 0.209604i | −0.434119 | − | 0.900855i | \(-0.642940\pi\) |
0.722614 | + | 0.691252i | \(0.242940\pi\) | |||||||
\(380\) | −95622.2 | + | 69473.6i | −0.0339703 | + | 0.0246809i | ||||
\(381\) | −257958. | − | 793914.i | −0.0910410 | − | 0.280195i | ||||
\(382\) | −115790. | + | 356366.i | −0.0405989 | + | 0.124950i | ||||
\(383\) | 2.08918e6 | + | 1.51788e6i | 0.727745 | + | 0.528737i | 0.888849 | − | 0.458200i | \(-0.151506\pi\) |
−0.161105 | + | 0.986937i | \(0.551506\pi\) | |||||||
\(384\) | −459518. | −0.159028 | ||||||||
\(385\) | 693123. | − | 1.27742e6i | 0.238319 | − | 0.439221i | ||||
\(386\) | 37103.5 | 0.0126750 | ||||||||
\(387\) | 429240. | + | 311861.i | 0.145688 | + | 0.105848i | ||||
\(388\) | −1.22056e6 | + | 3.75650e6i | −0.411605 | + | 1.26679i | ||||
\(389\) | 860795. | + | 2.64925e6i | 0.288420 | + | 0.887666i | 0.985353 | + | 0.170529i | \(0.0545477\pi\) |
−0.696933 | + | 0.717137i | \(0.745452\pi\) | |||||||
\(390\) | −19490.0 | + | 14160.3i | −0.00648860 | + | 0.00471424i | ||||
\(391\) | −1.49544e6 | + | 1.08650e6i | −0.494684 | + | 0.359409i | ||||
\(392\) | 92236.7 | + | 283875.i | 0.0303172 | + | 0.0933066i | ||||
\(393\) | −804503. | + | 2.47601e6i | −0.262752 | + | 0.808668i | ||||
\(394\) | −326478. | − | 237200.i | −0.105953 | − | 0.0769795i | ||||
\(395\) | −1.74703e6 | −0.563389 | ||||||||
\(396\) | 1.01786e6 | + | 188356.i | 0.326176 | + | 0.0603590i | ||||
\(397\) | 4.16443e6 | 1.32611 | 0.663054 | − | 0.748572i | \(-0.269260\pi\) | ||||
0.663054 | + | 0.748572i | \(0.269260\pi\) | |||||||
\(398\) | −34737.8 | − | 25238.5i | −0.0109925 | − | 0.00798649i | ||||
\(399\) | −81701.7 | + | 251452.i | −0.0256921 | + | 0.0790720i | ||||
\(400\) | −831783. | − | 2.55996e6i | −0.259932 | − | 0.799989i | ||||
\(401\) | 726944. | − | 528156.i | 0.225757 | − | 0.164022i | −0.469158 | − | 0.883114i | \(-0.655442\pi\) |
0.694914 | + | 0.719093i | \(0.255442\pi\) | |||||||
\(402\) | −67178.2 | + | 48807.8i | −0.0207331 | + | 0.0150634i | ||||
\(403\) | 249039. | + | 766462.i | 0.0763843 | + | 0.235087i | ||||
\(404\) | 1.08644e6 | − | 3.34371e6i | 0.331170 | − | 1.01924i | ||||
\(405\) | −113541. | − | 82492.3i | −0.0343965 | − | 0.0249906i | ||||
\(406\) | 175128. | 0.0527279 | ||||||||
\(407\) | −4.54671e6 | + | 2.17023e6i | −1.36054 | + | 0.649410i | ||||
\(408\) | −113883. | −0.0338694 | ||||||||
\(409\) | 4.52897e6 | + | 3.29049e6i | 1.33873 | + | 0.972641i | 0.999490 | + | 0.0319394i | \(0.0101684\pi\) |
0.339236 | + | 0.940701i | \(0.389832\pi\) | |||||||
\(410\) | −50303.4 | + | 154818.i | −0.0147788 | + | 0.0454843i | ||||
\(411\) | −712084. | − | 2.19157e6i | −0.207935 | − | 0.639957i | ||||
\(412\) | −2.91417e6 | + | 2.11727e6i | −0.845807 | + | 0.614515i | ||||
\(413\) | 3.15618e6 | − | 2.29310e6i | 0.910515 | − | 0.661528i | ||||
\(414\) | −36297.1 | − | 111711.i | −0.0104081 | − | 0.0320328i | ||||
\(415\) | −660084. | + | 2.03153e6i | −0.188139 | + | 0.579033i | ||||
\(416\) | 308992. | + | 224496.i | 0.0875414 | + | 0.0636026i | ||||
\(417\) | 1.43761e6 | 0.404856 | ||||||||
\(418\) | 18906.3 | + | 19911.9i | 0.00529255 | + | 0.00557407i | ||||
\(419\) | −1.86349e6 | −0.518553 | −0.259276 | − | 0.965803i | \(-0.583484\pi\) | ||||
−0.259276 | + | 0.965803i | \(0.583484\pi\) | |||||||
\(420\) | 839700. | + | 610077.i | 0.232274 | + | 0.168757i | ||||
\(421\) | −443456. | + | 1.36482e6i | −0.121940 | + | 0.375292i | −0.993331 | − | 0.115297i | \(-0.963218\pi\) |
0.871391 | + | 0.490589i | \(0.163218\pi\) | |||||||
\(422\) | 53198.2 | + | 163727.i | 0.0145417 | + | 0.0447548i | ||||
\(423\) | −508661. | + | 369564.i | −0.138222 | + | 0.100424i | ||||
\(424\) | 35104.0 | − | 25504.5i | 0.00948291 | − | 0.00688973i | ||||
\(425\) | −414311. | − | 1.27512e6i | −0.111264 | − | 0.342435i | ||||
\(426\) | 71031.1 | − | 218611.i | 0.0189638 | − | 0.0583645i | ||||
\(427\) | −6.13510e6 | − | 4.45741e6i | −1.62837 | − | 1.18308i | ||||
\(428\) | 254437. | 0.0671383 | ||||||||
\(429\) | −789240. | − | 831221.i | −0.207046 | − | 0.218059i | ||||
\(430\) | 55249.1 | 0.0144097 | ||||||||
\(431\) | 4.84009e6 | + | 3.51653e6i | 1.25505 | + | 0.911846i | 0.998504 | − | 0.0546860i | \(-0.0174158\pi\) |
0.256545 | + | 0.966532i | \(0.417416\pi\) | |||||||
\(432\) | −227323. | + | 699628.i | −0.0586049 | + | 0.180367i | ||||
\(433\) | −2.23691e6 | − | 6.88451e6i | −0.573363 | − | 1.76463i | −0.641688 | − | 0.766966i | \(-0.721765\pi\) |
0.0683247 | − | 0.997663i | \(-0.478235\pi\) | |||||||
\(434\) | −137153. | + | 99647.1i | −0.0349526 | + | 0.0253946i | ||||
\(435\) | 408576. | − | 296848.i | 0.103526 | − | 0.0752162i | ||||
\(436\) | 759945. | + | 2.33887e6i | 0.191455 | + | 0.589237i | ||||
\(437\) | −197191. | + | 606891.i | −0.0493950 | + | 0.152022i | ||||
\(438\) | 167229. | + | 121499.i | 0.0416510 | + | 0.0302612i | ||||
\(439\) | 651644. | 0.161380 | 0.0806899 | − | 0.996739i | \(-0.474288\pi\) | ||||
0.0806899 | + | 0.996739i | \(0.474288\pi\) | |||||||
\(440\) | 195031. | − | 93091.6i | 0.0480254 | − | 0.0229234i | ||||
\(441\) | 960374. | 0.235149 | ||||||||
\(442\) | 50885.5 | + | 36970.5i | 0.0123891 | + | 0.00900119i | ||||
\(443\) | 404482. | − | 1.24487e6i | 0.0979241 | − | 0.301379i | −0.890081 | − | 0.455803i | \(-0.849352\pi\) |
0.988005 | + | 0.154424i | \(0.0493521\pi\) | |||||||
\(444\) | −1.11185e6 | − | 3.42191e6i | −0.267662 | − | 0.823779i | ||||
\(445\) | 1.18368e6 | − | 859992.i | 0.283357 | − | 0.205871i | ||||
\(446\) | 59027.7 | − | 42886.1i | 0.0140514 | − | 0.0102089i | ||||
\(447\) | 894655. | + | 2.75347e6i | 0.211781 | + | 0.651795i | ||||
\(448\) | 1.66456e6 | − | 5.12300e6i | 0.391837 | − | 1.20595i | ||||
\(449\) | −2.61644e6 | − | 1.90096e6i | −0.612485 | − | 0.444996i | 0.237804 | − | 0.971313i | \(-0.423573\pi\) |
−0.850288 | + | 0.526317i | \(0.823573\pi\) | |||||||
\(450\) | 85196.5 | 0.0198331 | ||||||||
\(451\) | −7.61585e6 | − | 1.40932e6i | −1.76310 | − | 0.326263i | ||||
\(452\) | 4.63926e6 | 1.06808 | ||||||||
\(453\) | 1.80777e6 | + | 1.31342e6i | 0.413901 | + | 0.300717i | ||||
\(454\) | 84175.3 | − | 259065.i | 0.0191666 | − | 0.0589887i | ||||
\(455\) | −355154. | − | 1.09305e6i | −0.0804244 | − | 0.247521i | ||||
\(456\) | −31805.9 | + | 23108.3i | −0.00716301 | + | 0.00520423i | ||||
\(457\) | 101068. | − | 73430.5i | 0.0226373 | − | 0.0164470i | −0.576409 | − | 0.817161i | \(-0.695546\pi\) |
0.599046 | + | 0.800714i | \(0.295546\pi\) | |||||||
\(458\) | −106240. | − | 326973.i | −0.0236660 | − | 0.0728363i | ||||
\(459\) | −113229. | + | 348484.i | −0.0250858 | + | 0.0772061i | ||||
\(460\) | 2.02665e6 | + | 1.47245e6i | 0.446565 | + | 0.324449i | ||||
\(461\) | −5.62303e6 | −1.23230 | −0.616152 | − | 0.787627i | \(-0.711309\pi\) | ||||
−0.616152 | + | 0.787627i | \(0.711309\pi\) | |||||||
\(462\) | 114993. | − | 211931.i | 0.0250649 | − | 0.0461945i | ||||
\(463\) | −8.35970e6 | −1.81233 | −0.906167 | − | 0.422921i | \(-0.861005\pi\) | ||||
−0.906167 | + | 0.422921i | \(0.861005\pi\) | |||||||
\(464\) | −2.14160e6 | − | 1.55597e6i | −0.461790 | − | 0.335510i | ||||
\(465\) | −151074. | + | 464957.i | −0.0324009 | + | 0.0997196i | ||||
\(466\) | −167030. | − | 514066.i | −0.0356312 | − | 0.109662i | ||||
\(467\) | 2.31709e6 | − | 1.68346e6i | 0.491643 | − | 0.357200i | −0.314173 | − | 0.949366i | \(-0.601727\pi\) |
0.805816 | + | 0.592166i | \(0.201727\pi\) | |||||||
\(468\) | 662251. | − | 481153.i | 0.139768 | − | 0.101547i | ||||
\(469\) | −1.22414e6 | − | 3.76753e6i | −0.256981 | − | 0.790905i | ||||
\(470\) | −20231.8 | + | 62267.1i | −0.00422464 | + | 0.0130021i | ||||
\(471\) | −435212. | − | 316200.i | −0.0903958 | − | 0.0656764i | ||||
\(472\) | 580104. | 0.119854 | ||||||||
\(473\) | 343840. | + | 2.60611e6i | 0.0706649 | + | 0.535599i | ||||
\(474\) | −289842. | −0.0592536 | ||||||||
\(475\) | −374450. | − | 272054.i | −0.0761482 | − | 0.0553249i | ||||
\(476\) | 837396. | − | 2.57724e6i | 0.169400 | − | 0.521360i | ||||
\(477\) | −43142.0 | − | 132777.i | −0.00868168 | − | 0.0267195i | ||||
\(478\) | −284965. | + | 207039.i | −0.0570455 | + | 0.0414460i | ||||
\(479\) | 3.07805e6 | − | 2.23634e6i | 0.612967 | − | 0.445347i | −0.237491 | − | 0.971390i | \(-0.576325\pi\) |
0.850458 | + | 0.526043i | \(0.176325\pi\) | |||||||
\(480\) | 71596.8 | + | 220352.i | 0.0141837 | + | 0.0436531i | ||||
\(481\) | −1.23115e6 | + | 3.78910e6i | −0.242633 | + | 0.746747i | ||||
\(482\) | 119927. | + | 87132.0i | 0.0235125 | + | 0.0170828i | ||||
\(483\) | 5.60363e6 | 1.09295 | ||||||||
\(484\) | 2.79563e6 | + | 4.29964e6i | 0.542458 | + | 0.834293i | ||||
\(485\) | 2.65319e6 | 0.512169 | ||||||||
\(486\) | −18837.0 | − | 13685.9i | −0.00361761 | − | 0.00262835i | ||||
\(487\) | −2.46271e6 | + | 7.57944e6i | −0.470534 | + | 1.44815i | 0.381354 | + | 0.924429i | \(0.375458\pi\) |
−0.851888 | + | 0.523724i | \(0.824542\pi\) | |||||||
\(488\) | −348456. | − | 1.07244e6i | −0.0662367 | − | 0.203856i | ||||
\(489\) | 297335. | − | 216026.i | 0.0562307 | − | 0.0408540i | ||||
\(490\) | 80905.9 | − | 58781.6i | 0.0152226 | − | 0.0110599i | ||||
\(491\) | −1.57876e6 | − | 4.85891e6i | −0.295536 | − | 0.909568i | −0.983041 | − | 0.183387i | \(-0.941294\pi\) |
0.687504 | − | 0.726180i | \(-0.258706\pi\) | |||||||
\(492\) | 1.70926e6 | − | 5.26055e6i | 0.318343 | − | 0.979758i | ||||
\(493\) | −1.06673e6 | − | 775027.i | −0.197669 | − | 0.143615i | ||||
\(494\) | 21713.5 | 0.00400324 | ||||||||
\(495\) | −90951.2 | − | 689357.i | −0.0166838 | − | 0.126454i | ||||
\(496\) | 2.56255e6 | 0.467701 | ||||||||
\(497\) | 8.87163e6 | + | 6.44562e6i | 1.61106 | + | 1.17051i | ||||
\(498\) | −109511. | + | 337042.i | −0.0197873 | + | 0.0608990i | ||||
\(499\) | 1.35465e6 | + | 4.16918e6i | 0.243543 | + | 0.749547i | 0.995873 | + | 0.0907609i | \(0.0289299\pi\) |
−0.752330 | + | 0.658786i | \(0.771070\pi\) | |||||||
\(500\) | −3.19211e6 | + | 2.31921e6i | −0.571023 | + | 0.414872i | ||||
\(501\) | −523141. | + | 380084.i | −0.0931160 | + | 0.0676527i | ||||
\(502\) | −68760.2 | − | 211622.i | −0.0121780 | − | 0.0374802i | ||||
\(503\) | −1.23700e6 | + | 3.80711e6i | −0.217997 | + | 0.670927i | 0.780930 | + | 0.624619i | \(0.214746\pi\) |
−0.998927 | + | 0.0463083i | \(0.985254\pi\) | |||||||
\(504\) | 279301. | + | 202924.i | 0.0489775 | + | 0.0355842i | ||||
\(505\) | −2.36163e6 | −0.412082 | ||||||||
\(506\) | 277540. | − | 511506.i | 0.0481892 | − | 0.0888125i | ||||
\(507\) | 2.43521e6 | 0.420743 | ||||||||
\(508\) | 2.38956e6 | + | 1.73611e6i | 0.410826 | + | 0.298482i | ||||
\(509\) | −1.99860e6 | + | 6.15105e6i | −0.341925 | + | 1.05234i | 0.621284 | + | 0.783585i | \(0.286611\pi\) |
−0.963209 | + | 0.268752i | \(0.913389\pi\) | |||||||
\(510\) | 11790.7 | + | 36288.2i | 0.00200732 | + | 0.00617789i | ||||
\(511\) | −7.97794e6 | + | 5.79631e6i | −1.35157 | + | 0.981973i | ||||
\(512\) | 1.64017e6 | − | 1.19166e6i | 0.276513 | − | 0.200898i | ||||
\(513\) | 39088.7 | + | 120303.i | 0.00655780 | + | 0.0201828i | ||||
\(514\) | −232542. | + | 715691.i | −0.0388234 | + | 0.119486i | ||||
\(515\) | 1.95751e6 | + | 1.42222e6i | 0.325227 | + | 0.236291i | ||||
\(516\) | −1.87731e6 | −0.310392 | ||||||||
\(517\) | −3.06306e6 | − | 566821.i | −0.503999 | − | 0.0932652i | ||||
\(518\) | −838092. | −0.137236 | ||||||||
\(519\) | −1.12360e6 | − | 816340.i | −0.183101 | − | 0.133031i | ||||
\(520\) | 52810.2 | − | 162533.i | 0.00856465 | − | 0.0263593i | ||||
\(521\) | 384225. | + | 1.18252e6i | 0.0620142 | + | 0.190860i | 0.977264 | − | 0.212027i | \(-0.0680066\pi\) |
−0.915249 | + | 0.402888i | \(0.868007\pi\) | |||||||
\(522\) | 67785.0 | − | 49248.7i | 0.0108882 | − | 0.00791076i | ||||
\(523\) | 7.78288e6 | − | 5.65459e6i | 1.24419 | − | 0.903955i | 0.246318 | − | 0.969189i | \(-0.420779\pi\) |
0.997870 | + | 0.0652339i | \(0.0207794\pi\) | |||||||
\(524\) | −2.84656e6 | − | 8.76080e6i | −0.452889 | − | 1.39385i | ||||
\(525\) | −1.25598e6 | + | 3.86552e6i | −0.198877 | + | 0.612082i | ||||
\(526\) | 317658. | + | 230792.i | 0.0500606 | + | 0.0363711i | ||||
\(527\) | 1.27641e6 | 0.200199 | ||||||||
\(528\) | −3.28918e6 | + | 1.56999e6i | −0.513456 | + | 0.245082i | ||||
\(529\) | 7.08826e6 | 1.10129 | ||||||||
\(530\) | −11761.4 | − | 8545.12i | −0.00181873 | − | 0.00132138i | ||||
\(531\) | 576776. | − | 1.77514e6i | 0.0887710 | − | 0.273209i | ||||
\(532\) | −289083. | − | 889707.i | −0.0442837 | − | 0.136291i | ||||
\(533\) | −4.95508e6 | + | 3.60008e6i | −0.755497 | + | 0.548901i | ||||
\(534\) | 196378. | − | 142677.i | 0.0298017 | − | 0.0216522i | ||||
\(535\) | −52814.4 | − | 162546.i | −0.00797752 | − | 0.0245523i | ||||
\(536\) | 182026. | − | 560219.i | 0.0273667 | − | 0.0842260i | ||||
\(537\) | 1.36505e6 | + | 991769.i | 0.204274 | + | 0.148414i | ||||
\(538\) | 113977. | 0.0169770 | ||||||||
\(539\) | 3.27625e6 | + | 3.45052e6i | 0.485741 | + | 0.511579i | ||||
\(540\) | 496577. | 0.0732829 | ||||||||
\(541\) | 315960. | + | 229558.i | 0.0464129 | + | 0.0337210i | 0.610750 | − | 0.791824i | \(-0.290868\pi\) |
−0.564337 | + | 0.825545i | \(0.690868\pi\) | |||||||
\(542\) | −281598. | + | 866671.i | −0.0411749 | + | 0.126723i | ||||
\(543\) | 1.63250e6 | + | 5.02432e6i | 0.237604 | + | 0.731269i | ||||
\(544\) | 489386. | − | 355560.i | 0.0709013 | − | 0.0515128i | ||||
\(545\) | 1.33643e6 | − | 970976.i | 0.192733 | − | 0.140029i | ||||
\(546\) | −58921.9 | − | 181343.i | −0.00845853 | − | 0.0260327i | ||||
\(547\) | 2.53895e6 | − | 7.81408e6i | 0.362815 | − | 1.11663i | −0.588523 | − | 0.808481i | \(-0.700290\pi\) |
0.951338 | − | 0.308150i | \(-0.0997098\pi\) | |||||||
\(548\) | 6.59627e6 | + | 4.79247e6i | 0.938312 | + | 0.681724i | ||||
\(549\) | −3.62815e6 | −0.513752 | ||||||||
\(550\) | 290642. | + | 306102.i | 0.0409686 | + | 0.0431478i | ||||
\(551\) | −455187. | −0.0638721 | ||||||||
\(552\) | 674106. | + | 489767.i | 0.0941631 | + | 0.0684135i | ||||
\(553\) | 4.27290e6 | − | 1.31506e7i | 0.594169 | − | 1.82866i | ||||
\(554\) | 5521.28 | + | 16992.7i | 0.000764302 | + | 0.00235228i | ||||
\(555\) | −1.95528e6 | + | 1.42060e6i | −0.269449 | + | 0.195766i | ||||
\(556\) | −4.11519e6 | + | 2.98986e6i | −0.564551 | + | 0.410170i | ||||
\(557\) | −763365. | − | 2.34940e6i | −0.104254 | − | 0.320862i | 0.885300 | − | 0.465020i | \(-0.153953\pi\) |
−0.989555 | + | 0.144158i | \(0.953953\pi\) | |||||||
\(558\) | −25063.9 | + | 77138.8i | −0.00340772 | + | 0.0104879i | ||||
\(559\) | 1.68175e6 | + | 1.22186e6i | 0.227631 | + | 0.165383i | ||||
\(560\) | −3.65445e6 | −0.492439 | ||||||||
\(561\) | −1.63834e6 | + | 782009.i | −0.219784 | + | 0.104907i | ||||
\(562\) | 827773. | 0.110553 | ||||||||
\(563\) | −7.69190e6 | − | 5.58849e6i | −1.02273 | − | 0.743060i | −0.0558923 | − | 0.998437i | \(-0.517800\pi\) |
−0.966842 | + | 0.255377i | \(0.917800\pi\) | |||||||
\(564\) | 687456. | − | 2.11577e6i | 0.0910012 | − | 0.280073i | ||||
\(565\) | −962990. | − | 2.96378e6i | −0.126911 | − | 0.390593i | ||||
\(566\) | −506768. | + | 368188.i | −0.0664918 | + | 0.0483091i | ||||
\(567\) | 898653. | − | 652910.i | 0.117391 | − | 0.0852895i | ||||
\(568\) | 503883. | + | 1.55079e6i | 0.0655328 | + | 0.201689i | ||||
\(569\) | −846064. | + | 2.60392e6i | −0.109553 | + | 0.337168i | −0.990772 | − | 0.135539i | \(-0.956723\pi\) |
0.881219 | + | 0.472708i | \(0.156723\pi\) | |||||||
\(570\) | 10656.4 | + | 7742.30i | 0.00137379 | + | 0.000998120i | ||||
\(571\) | 2.85878e6 | 0.366937 | 0.183468 | − | 0.983026i | \(-0.441268\pi\) | ||||
0.183468 | + | 0.983026i | \(0.441268\pi\) | |||||||
\(572\) | 3.98795e6 | + | 737973.i | 0.509636 | + | 0.0943084i | ||||
\(573\) | −8.55244e6 | −1.08819 | ||||||||
\(574\) | −1.04235e6 | − | 757309.i | −0.132048 | − | 0.0959387i | ||||
\(575\) | −3.03137e6 | + | 9.32960e6i | −0.382357 | + | 1.17677i | ||||
\(576\) | −796381. | − | 2.45101e6i | −0.100015 | − | 0.307814i | ||||
\(577\) | 2.91887e6 | − | 2.12069e6i | 0.364986 | − | 0.265178i | −0.390143 | − | 0.920754i | \(-0.627574\pi\) |
0.755129 | + | 0.655577i | \(0.227574\pi\) | |||||||
\(578\) | −372351. | + | 270529.i | −0.0463589 | + | 0.0336817i | ||||
\(579\) | 261696. | + | 805418.i | 0.0324415 | + | 0.0998446i | ||||
\(580\) | −552192. | + | 1.69947e6i | −0.0681585 | + | 0.209770i | ||||
\(581\) | −1.36777e7 | − | 9.93746e6i | −1.68102 | − | 1.22134i | ||||
\(582\) | 440177. | 0.0538667 | ||||||||
\(583\) | 329878. | − | 607965.i | 0.0401960 | − | 0.0740810i | ||||
\(584\) | −1.46634e6 | −0.177911 | ||||||||
\(585\) | −444849. | − | 323202.i | −0.0537431 | − | 0.0390467i | ||||
\(586\) | −96187.7 | + | 296035.i | −0.0115711 | + | 0.0356122i | ||||
\(587\) | −3.12263e6 | − | 9.61046e6i | −0.374046 | − | 1.15120i | −0.944120 | − | 0.329602i | \(-0.893085\pi\) |
0.570074 | − | 0.821593i | \(-0.306915\pi\) | |||||||
\(588\) | −2.74910e6 | + | 1.99734e6i | −0.327904 | + | 0.238236i | ||||
\(589\) | 356483. | − | 259000.i | 0.0423400 | − | 0.0307618i | ||||
\(590\) | −60060.6 | − | 184847.i | −0.00710329 | − | 0.0218617i | ||||
\(591\) | 2.84629e6 | − | 8.75999e6i | 0.335205 | − | 1.03166i | ||||
\(592\) | 1.02489e7 | + | 7.44624e6i | 1.20191 | + | 0.873238i | ||||
\(593\) | 3.67470e6 | 0.429126 | 0.214563 | − | 0.976710i | \(-0.431167\pi\) | ||||
0.214563 | + | 0.976710i | \(0.431167\pi\) | |||||||
\(594\) | −15089.3 | − | 114368.i | −0.00175470 | − | 0.0132996i | ||||
\(595\) | −1.82028e6 | −0.210788 | ||||||||
\(596\) | −8.28749e6 | − | 6.02121e6i | −0.955669 | − | 0.694334i | ||||
\(597\) | 302850. | − | 932076.i | 0.0347769 | − | 0.107032i | ||||
\(598\) | −142211. | − | 437679.i | −0.0162622 | − | 0.0500499i | ||||
\(599\) | 8.66013e6 | − | 6.29195e6i | 0.986182 | − | 0.716503i | 0.0271006 | − | 0.999633i | \(-0.491373\pi\) |
0.959082 | + | 0.283129i | \(0.0913725\pi\) | |||||||
\(600\) | −488946. | + | 355240.i | −0.0554476 | + | 0.0402850i | ||||
\(601\) | 768284. | + | 2.36453e6i | 0.0867632 | + | 0.267030i | 0.985020 | − | 0.172442i | \(-0.0551657\pi\) |
−0.898257 | + | 0.439472i | \(0.855166\pi\) | |||||||
\(602\) | −135129. | + | 415883.i | −0.0151969 | + | 0.0467713i | ||||
\(603\) | −1.53330e6 | − | 1.11401e6i | −0.171726 | − | 0.124766i | ||||
\(604\) | −7.90637e6 | −0.881829 | ||||||||
\(605\) | 2.16651e6 | − | 2.67847e6i | 0.240642 | − | 0.297508i | ||||
\(606\) | −391807. | −0.0433402 | ||||||||
\(607\) | 6.37346e6 | + | 4.63059e6i | 0.702107 | + | 0.510111i | 0.880618 | − | 0.473827i | \(-0.157128\pi\) |
−0.178510 | + | 0.983938i | \(0.557128\pi\) | |||||||
\(608\) | 64531.0 | − | 198606.i | 0.00707961 | − | 0.0217888i | ||||
\(609\) | 1.23520e6 | + | 3.80156e6i | 0.134957 | + | 0.415354i | ||||
\(610\) | −305650. | + | 222068.i | −0.0332583 | + | 0.0241636i | ||||
\(611\) | −1.99291e6 | + | 1.44794e6i | −0.215966 | + | 0.156908i | ||||
\(612\) | −400637. | − | 1.23304e6i | −0.0432387 | − | 0.133075i | ||||
\(613\) | 2.02523e6 | − | 6.23302e6i | 0.217682 | − | 0.669958i | −0.781270 | − | 0.624193i | \(-0.785428\pi\) |
0.998952 | − | 0.0457641i | \(-0.0145723\pi\) | |||||||
\(614\) | −501110. | − | 364078.i | −0.0536429 | − | 0.0389739i | ||||
\(615\) | −3.71548e6 | −0.396121 | ||||||||
\(616\) | 223732. | + | 1.69576e6i | 0.0237562 | + | 0.180058i | ||||
\(617\) | 416464. | 0.0440417 | 0.0220209 | − | 0.999758i | \(-0.492990\pi\) | ||||
0.0220209 | + | 0.999758i | \(0.492990\pi\) | |||||||
\(618\) | 324762. | + | 235953.i | 0.0342053 | + | 0.0248516i | ||||
\(619\) | 688413. | − | 2.11872e6i | 0.0722142 | − | 0.222253i | −0.908435 | − | 0.418027i | \(-0.862722\pi\) |
0.980649 | + | 0.195774i | \(0.0627219\pi\) | |||||||
\(620\) | −534541. | − | 1.64515e6i | −0.0558473 | − | 0.171880i | ||||
\(621\) | 2.16894e6 | − | 1.57583e6i | 0.225693 | − | 0.163976i | ||||
\(622\) | 924924. | − | 671997.i | 0.0958584 | − | 0.0696452i | ||||
\(623\) | 3.57847e6 | + | 1.10134e7i | 0.369384 | + | 1.13685i | ||||
\(624\) | −890642. | + | 2.74111e6i | −0.0915676 | + | 0.281816i | ||||
\(625\) | −4.59954e6 | − | 3.34176e6i | −0.470993 | − | 0.342197i | ||||
\(626\) | 711014. | 0.0725174 | ||||||||
\(627\) | −298886. | + | 550846.i | −0.0303625 | + | 0.0559579i | ||||
\(628\) | 1.90342e6 | 0.192591 | ||||||||
\(629\) | 5.10496e6 | + | 3.70897e6i | 0.514476 | + | 0.373789i | ||||
\(630\) | 35743.6 | − | 110008.i | 0.00358796 | − | 0.0110426i | ||||
\(631\) | 3.34788e6 | + | 1.03037e7i | 0.334731 | + | 1.03020i | 0.966854 | + | 0.255329i | \(0.0821838\pi\) |
−0.632123 | + | 0.774868i | \(0.717816\pi\) | |||||||
\(632\) | 1.66341e6 | − | 1.20854e6i | 0.165656 | − | 0.120356i | ||||
\(633\) | −3.17887e6 | + | 2.30958e6i | −0.315329 | + | 0.229100i | ||||
\(634\) | 140651. | + | 432880.i | 0.0138970 | + | 0.0427705i | ||||
\(635\) | 613101. | − | 1.88693e6i | 0.0603389 | − | 0.185704i | ||||
\(636\) | 399639. | + | 290354.i | 0.0391764 | + | 0.0284633i | ||||
\(637\) | 3.76271e6 | 0.367411 | ||||||||
\(638\) | 408189. | + | 75535.6i | 0.0397017 | + | 0.00734683i | ||||
\(639\) | 5.24646e6 | 0.508293 | ||||||||
\(640\) | −883573. | − | 641953.i | −0.0852693 | − | 0.0619517i | ||||
\(641\) | −764951. | + | 2.35428e6i | −0.0735341 | + | 0.226315i | −0.981068 | − | 0.193665i | \(-0.937963\pi\) |
0.907534 | + | 0.419979i | \(0.137963\pi\) | |||||||
\(642\) | −8762.19 | − | 26967.2i | −0.000839025 | − | 0.00258225i | ||||
\(643\) | 9.98311e6 | − | 7.25316e6i | 0.952223 | − | 0.691830i | 0.000891304 | − | 1.00000i | \(-0.499716\pi\) |
0.951332 | + | 0.308169i | \(0.0997163\pi\) | |||||||
\(644\) | −1.60405e7 | + | 1.16541e7i | −1.52407 | + | 1.10730i | ||||
\(645\) | 389679. | + | 1.19931e6i | 0.0368815 | + | 0.113509i | ||||
\(646\) | 10627.1 | − | 32706.9i | 0.00100192 | − | 0.00308360i | ||||
\(647\) | 4.28631e6 | + | 3.11418e6i | 0.402552 | + | 0.292471i | 0.770580 | − | 0.637343i | \(-0.219967\pi\) |
−0.368027 | + | 0.929815i | \(0.619967\pi\) | |||||||
\(648\) | 165172. | 0.0154525 | ||||||||
\(649\) | 8.34550e6 | − | 3.98346e6i | 0.777751 | − | 0.371234i | ||||
\(650\) | 333796. | 0.0309883 | ||||||||
\(651\) | −3.13043e6 | − | 2.27439e6i | −0.289502 | − | 0.210335i | ||||
\(652\) | −401848. | + | 1.23676e6i | −0.0370206 | + | 0.113938i | ||||
\(653\) | −158912. | − | 489081.i | −0.0145839 | − | 0.0448847i | 0.943500 | − | 0.331373i | \(-0.107512\pi\) |
−0.958084 | + | 0.286489i | \(0.907512\pi\) | |||||||
\(654\) | 221721. | − | 161090.i | 0.0202704 | − | 0.0147273i | ||||
\(655\) | −5.00594e6 | + | 3.63703e6i | −0.455913 | + | 0.331240i | ||||
\(656\) | 6.01816e6 | + | 1.85220e7i | 0.546014 | + | 1.68046i | ||||
\(657\) | −1.45793e6 | + | 4.48704e6i | −0.131772 | + | 0.405552i | ||||
\(658\) | −419227. | − | 304587.i | −0.0377472 | − | 0.0274250i | ||||
\(659\) | 1.35963e7 | 1.21957 | 0.609787 | − | 0.792566i | \(-0.291255\pi\) | ||||
0.609787 | + | 0.792566i | \(0.291255\pi\) | |||||||
\(660\) | 1.69404e6 | + | 1.78415e6i | 0.151378 | + | 0.159430i | ||||
\(661\) | −1.45436e7 | −1.29470 | −0.647350 | − | 0.762193i | \(-0.724123\pi\) | ||||
−0.647350 | + | 0.762193i | \(0.724123\pi\) | |||||||
\(662\) | 220633. | + | 160300.i | 0.0195671 | + | 0.0142163i | ||||
\(663\) | −443628. | + | 1.36535e6i | −0.0391954 | + | 0.120631i | ||||
\(664\) | −776856. | − | 2.39092e6i | −0.0683786 | − | 0.210448i | ||||
\(665\) | −508380. | + | 369360.i | −0.0445794 | + | 0.0323888i | ||||
\(666\) | −324392. | + | 235684.i | −0.0283390 | + | 0.0205895i | ||||
\(667\) | 2.98121e6 | + | 9.17523e6i | 0.259465 | + | 0.798551i | ||||
\(668\) | 707026. | − | 2.17600e6i | 0.0613048 | − | 0.188677i | ||||
\(669\) | 1.34727e6 | + | 978852.i | 0.116383 | + | 0.0845574i | ||||
\(670\) | −197357. | −0.0169850 | ||||||||
\(671\) | −1.23772e7 | − | 1.30355e7i | −1.06124 | − | 1.11769i | ||||
\(672\) | −1.83380e6 | −0.156649 | ||||||||
\(673\) | −1.39942e7 | − | 1.01674e7i | −1.19100 | − | 0.865310i | −0.197628 | − | 0.980277i | \(-0.563324\pi\) |
−0.993369 | + | 0.114967i | \(0.963324\pi\) | |||||||
\(674\) | 196251. | − | 603999.i | 0.0166403 | − | 0.0512137i | ||||
\(675\) | 600903. | + | 1.84939e6i | 0.0507627 | + | 0.156232i | ||||
\(676\) | −6.97086e6 | + | 5.06463e6i | −0.586705 | + | 0.426266i | ||||
\(677\) | −5.21766e6 | + | 3.79085e6i | −0.437526 | + | 0.317882i | −0.784651 | − | 0.619937i | \(-0.787158\pi\) |
0.347125 | + | 0.937819i | \(0.387158\pi\) | |||||||
\(678\) | −159765. | − | 491706.i | −0.0133477 | − | 0.0410801i | ||||
\(679\) | −6.48918e6 | + | 1.99716e7i | −0.540151 | + | 1.66241i | ||||
\(680\) | −218977. | − | 159096.i | −0.0181604 | − | 0.0131943i | ||||
\(681\) | 6.21731e6 | 0.513730 | ||||||||
\(682\) | −362655. | + | 173102.i | −0.0298561 | + | 0.0142509i | ||||
\(683\) | 1.51726e7 | 1.24454 | 0.622271 | − | 0.782802i | \(-0.286210\pi\) | ||||
0.622271 | + | 0.782802i | \(0.286210\pi\) | |||||||
\(684\) | −362092. | − | 263075.i | −0.0295923 | − | 0.0215001i | ||||
\(685\) | 1.69244e6 | − | 5.20880e6i | 0.137812 | − | 0.424142i | ||||
\(686\) | −102127. | − | 314315.i | −0.00828573 | − | 0.0255008i | ||||
\(687\) | 6.34839e6 | − | 4.61237e6i | 0.513182 | − | 0.372849i | ||||
\(688\) | 5.34748e6 | − | 3.88517e6i | 0.430703 | − | 0.312924i | ||||
\(689\) | −169028. | − | 520216.i | −0.0135648 | − | 0.0417480i | ||||
\(690\) | 86268.9 | − | 265508.i | 0.00689813 | − | 0.0212303i | ||||
\(691\) | 2.46431e6 | + | 1.79042e6i | 0.196336 | + | 0.142646i | 0.681610 | − | 0.731716i | \(-0.261280\pi\) |
−0.485274 | + | 0.874362i | \(0.661280\pi\) | |||||||
\(692\) | 4.91411e6 | 0.390103 | ||||||||
\(693\) | 5.41152e6 | + | 1.00141e6i | 0.428042 | + | 0.0792094i | ||||
\(694\) | 1.48288e6 | 0.116871 | ||||||||
\(695\) | 2.76427e6 | + | 2.00836e6i | 0.217079 | + | 0.157717i | ||||
\(696\) | −183670. | + | 565280.i | −0.0143720 | + | 0.0442324i | ||||
\(697\) | 2.99764e6 | + | 9.22579e6i | 0.233721 | + | 0.719319i | ||||
\(698\) | −193764. | + | 140778.i | −0.0150534 | + | 0.0109369i | ||||
\(699\) | 9.98092e6 | − | 7.25156e6i | 0.772641 | − | 0.561356i | ||||
\(700\) | −4.44402e6 | − | 1.36773e7i | −0.342792 | − | 1.05501i | ||||
\(701\) | −461615. | + | 1.42071e6i | −0.0354801 | + | 0.109197i | −0.967228 | − | 0.253909i | \(-0.918284\pi\) |
0.931748 | + | 0.363106i | \(0.118284\pi\) | |||||||
\(702\) | −73802.7 | − | 53620.8i | −0.00565236 | − | 0.00410668i | ||||
\(703\) | 2.17834e6 | 0.166241 | ||||||||
\(704\) | 6.08940e6 | − | 1.12228e7i | 0.463066 | − | 0.853430i | ||||
\(705\) | −1.49435e6 | −0.113235 | ||||||||
\(706\) | −1.09657e6 | − | 796706.i | −0.0827991 | − | 0.0601571i | ||||
\(707\) | 5.77609e6 | − | 1.77770e7i | 0.434596 | − | 1.33755i | ||||
\(708\) | 2.04080e6 | + | 6.28092e6i | 0.153009 | + | 0.470913i | ||||
\(709\) | 6.44688e6 | − | 4.68393e6i | 0.481653 | − | 0.349941i | −0.320313 | − | 0.947312i | \(-0.603788\pi\) |
0.801965 | + | 0.597371i | \(0.203788\pi\) | |||||||
\(710\) | 441984. | − | 321120.i | 0.0329049 | − | 0.0239068i | ||||
\(711\) | −2.04429e6 | − | 6.29169e6i | −0.151659 | − | 0.466760i | ||||
\(712\) | −532108. | + | 1.63766e6i | −0.0393368 | + | 0.121066i | ||||
\(713\) | −7.55543e6 | − | 5.48934e6i | −0.556590 | − | 0.404386i | ||||
\(714\) | −301994. | −0.0221694 | ||||||||
\(715\) | −356343. | − | 2.70087e6i | −0.0260677 | − | 0.197578i | ||||
\(716\) | −5.97013e6 | −0.435213 | ||||||||
\(717\) | −6.50416e6 | − | 4.72555e6i | −0.472491 | − | 0.343285i | ||||
\(718\) | 267770. | − | 824113.i | 0.0193844 | − | 0.0596589i | ||||
\(719\) | 3.34841e6 | + | 1.03054e7i | 0.241556 | + | 0.743431i | 0.996184 | + | 0.0872790i | \(0.0278172\pi\) |
−0.754628 | + | 0.656152i | \(0.772183\pi\) | |||||||
\(720\) | −1.41449e6 | + | 1.02769e6i | −0.101688 | + | 0.0738806i | ||||
\(721\) | −1.54933e7 | + | 1.12565e7i | −1.10996 | + | 0.806431i | ||||
\(722\) | 298043. | + | 917283.i | 0.0212783 | + | 0.0654878i | ||||
\(723\) | −1.04554e6 | + | 3.21785e6i | −0.0743868 | + | 0.228939i | ||||
\(724\) | −1.51224e7 | − | 1.09871e7i | −1.07220 | − | 0.778996i | ||||
\(725\) | −6.99750e6 | −0.494422 | ||||||||
\(726\) | 359435. | − | 444372.i | 0.0253092 | − | 0.0312900i | ||||
\(727\) | −1.08279e7 | −0.759814 | −0.379907 | − | 0.925025i | \(-0.624044\pi\) | ||||
−0.379907 | + | 0.925025i | \(0.624044\pi\) | |||||||
\(728\) | 1.09429e6 | + | 795049.i | 0.0765252 | + | 0.0555988i | ||||
\(729\) | 164224. | − | 505430.i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 151816. | + | 467242.i | 0.0105441 | + | 0.0324515i | ||||
\(731\) | 2.66358e6 | − | 1.93520e6i | 0.184362 | − | 0.133947i | ||||
\(732\) | 1.03857e7 | − | 7.54563e6i | 0.716402 | − | 0.520497i | ||||
\(733\) | −2.58435e6 | − | 7.95380e6i | −0.177660 | − | 0.546782i | 0.822085 | − | 0.569365i | \(-0.192811\pi\) |
−0.999745 | + | 0.0225829i | \(0.992811\pi\) | |||||||
\(734\) | −42884.4 | + | 131985.i | −0.00293805 | + | 0.00904239i | ||||
\(735\) | 1.84663e6 | + | 1.34166e6i | 0.126085 | + | 0.0916058i | ||||
\(736\) | −4.42595e6 | −0.301170 | ||||||||
\(737\) | −1.22824e6 | − | 9.30937e6i | −0.0832944 | − | 0.631323i | ||||
\(738\) | −616418. | −0.0416615 | ||||||||
\(739\) | −1.94682e7 | − | 1.41445e7i | −1.31134 | − | 0.952742i | −0.999997 | − | 0.00244267i | \(-0.999222\pi\) |
−0.311339 | − | 0.950299i | \(-0.600778\pi\) | |||||||
\(740\) | 2.64257e6 | − | 8.13300e6i | 0.177397 | − | 0.545973i | ||||
\(741\) | 153148. | + | 471341.i | 0.0102463 | + | 0.0315348i | ||||
\(742\) | 93088.7 | − | 67632.9i | 0.00620708 | − | 0.00450971i | ||||
\(743\) | −1.57007e7 | + | 1.14072e7i | −1.04339 | + | 0.758067i | −0.970944 | − | 0.239305i | \(-0.923080\pi\) |
−0.0724454 | + | 0.997372i | \(0.523080\pi\) | |||||||
\(744\) | −177799. | − | 547210.i | −0.0117760 | − | 0.0362428i | ||||
\(745\) | −2.12637e6 | + | 6.54428e6i | −0.140361 | + | 0.431987i | ||||
\(746\) | 1.25573e6 | + | 912341.i | 0.0826131 | + | 0.0600219i | ||||
\(747\) | −8.08867e6 | −0.530366 | ||||||||
\(748\) | 3.06341e6 | − | 5.64586e6i | 0.200194 | − | 0.368957i | ||||
\(749\) | 1.35273e6 | 0.0881059 | ||||||||
\(750\) | 355737. | + | 258458.i | 0.0230927 | + | 0.0167779i | ||||
\(751\) | −4.29013e6 | + | 1.32037e7i | −0.277569 | + | 0.854269i | 0.710960 | + | 0.703233i | \(0.248261\pi\) |
−0.988528 | + | 0.151036i | \(0.951739\pi\) | |||||||
\(752\) | 2.42048e6 | + | 7.44946e6i | 0.156083 | + | 0.480375i | ||||
\(753\) | 4.10877e6 | − | 2.98520e6i | 0.264074 | − | 0.191861i | ||||
\(754\) | 265579. | − | 192954.i | 0.0170124 | − | 0.0123602i | ||||
\(755\) | 1.64115e6 | + | 5.05095e6i | 0.104781 | + | 0.322482i | ||||
\(756\) | −1.21453e6 | + | 3.73794e6i | −0.0772866 | + | 0.237864i | ||||
\(757\) | 1.02950e7 | + | 7.47978e6i | 0.652963 | + | 0.474405i | 0.864279 | − | 0.503013i | \(-0.167775\pi\) |
−0.211316 | + | 0.977418i | \(0.567775\pi\) | |||||||
\(758\) | 393207. | 0.0248570 | ||||||||
\(759\) | 1.30610e7 | + | 2.41694e6i | 0.822945 | + | 0.152286i | ||||
\(760\) | −93439.9 | −0.00586811 | ||||||||
\(761\) | −1.16956e7 | − | 8.49734e6i | −0.732083 | − | 0.531889i | 0.158139 | − | 0.987417i | \(-0.449451\pi\) |
−0.890222 | + | 0.455528i | \(0.849451\pi\) | |||||||
\(762\) | 101717. | − | 313052.i | 0.00634607 | − | 0.0195312i | ||||
\(763\) | 4.04029e6 | + | 1.24347e7i | 0.251247 | + | 0.773258i | ||||
\(764\) | 2.44816e7 | − | 1.77869e7i | 1.51742 | − | 1.10247i | ||||
\(765\) | −704558. | + | 511891.i | −0.0435275 | + | 0.0316245i | ||||
\(766\) | 314661. | + | 968427.i | 0.0193763 | + | 0.0596341i | ||||
\(767\) | 2.25979e6 | − | 6.95491e6i | 0.138701 | − | 0.426877i | ||||
\(768\) | 7.26657e6 | + | 5.27947e6i | 0.444556 | + | 0.322989i | ||||
\(769\) | −1.22993e7 | −0.750005 | −0.375002 | − | 0.927024i | \(-0.622358\pi\) | ||||
−0.375002 | + | 0.927024i | \(0.622358\pi\) | |||||||
\(770\) | 517182. | − | 246860.i | 0.0314352 | − | 0.0150046i | ||||
\(771\) | −1.71759e7 | −1.04060 | ||||||||
\(772\) | −2.42418e6 | − | 1.76127e6i | −0.146393 | − | 0.106361i | ||||
\(773\) | 2.72194e6 | − | 8.37728e6i | 0.163844 | − | 0.504260i | −0.835105 | − | 0.550090i | \(-0.814593\pi\) |
0.998949 | + | 0.0458304i | \(0.0145934\pi\) | |||||||
\(774\) | 64649.9 | + | 198972.i | 0.00387896 | + | 0.0119382i | ||||
\(775\) | 5.48014e6 | − | 3.98155e6i | 0.327746 | − | 0.238121i | ||||
\(776\) | −2.52619e6 | + | 1.83539e6i | −0.150596 | + | 0.109414i | ||||
\(777\) | −5.91118e6 | − | 1.81927e7i | −0.351254 | − | 1.08105i | ||||
\(778\) | −339423. | + | 1.04464e6i | −0.0201045 | + | 0.0618752i | ||||
\(779\) | 2.70924e6 | + | 1.96838e6i | 0.159957 | + | 0.116216i | ||||
\(780\) | 1.94557e6 | 0.114501 | ||||||||
\(781\) | 1.78979e7 | + | 1.88500e7i | 1.04997 | + | 1.10582i | ||||
\(782\) | −728877. | −0.0426223 | ||||||||
\(783\) | 1.54715e6 | + | 1.12407e6i | 0.0901839 | + | 0.0655225i | ||||
\(784\) | 3.69718e6 | − | 1.13788e7i | 0.214823 | − | 0.661157i | ||||
\(785\) | −395100. | − | 1.21599e6i | −0.0228841 | − | 0.0704299i | ||||
\(786\) | −830511. | + | 603402.i | −0.0479500 | + | 0.0348377i | ||||
\(787\) | 2.19948e7 | − | 1.59802e7i | 1.26585 | − | 0.919697i | 0.266825 | − | 0.963745i | \(-0.414026\pi\) |
0.999029 | + | 0.0440483i | \(0.0140255\pi\) | |||||||
\(788\) | 1.00710e7 | + | 3.09953e7i | 0.577771 | + | 1.77820i | ||||
\(789\) | −2.76940e6 | + | 8.52333e6i | −0.158377 | + | 0.487435i | ||||
\(790\) | −557315. | − | 404913.i | −0.0317712 | − | 0.0230831i | ||||
\(791\) | 2.46649e7 | 1.40164 | ||||||||
\(792\) | 563472. | + | 593444.i | 0.0319198 | + | 0.0336176i | ||||
\(793\) | −1.42149e7 | −0.802716 | ||||||||
\(794\) | 1.32848e6 | + | 965197.i | 0.0747832 | + | 0.0543331i | ||||
\(795\) | 102537. | − | 315578.i | 0.00575393 | − | 0.0177088i | ||||
\(796\) | 1.07157e6 | + | 3.29794e6i | 0.0599428 | + | 0.184485i | ||||
\(797\) | −1.23730e7 | + | 8.98954e6i | −0.689971 | + | 0.501293i | −0.876651 | − | 0.481128i | \(-0.840227\pi\) |
0.186680 | + | 0.982421i | \(0.440227\pi\) | |||||||
\(798\) | −84342.9 | + | 61278.7i | −0.00468858 | + | 0.00340645i | ||||
\(799\) | 1.20564e6 | + | 3.71057e6i | 0.0668113 | + | 0.205624i | ||||
\(800\) | 992021. | − | 3.05313e6i | 0.0548020 | − | 0.168663i | ||||
\(801\) | 4.48223e6 | + | 3.25653e6i | 0.246838 | + | 0.179339i | ||||
\(802\) | 354312. | 0.0194514 | ||||||||
\(803\) | −2.10951e7 | + | 1.00691e7i | −1.15449 | + | 0.551061i | ||||
\(804\) | 6.70599e6 | 0.365867 | ||||||||
\(805\) | 1.07748e7 | + | 7.82835e6i | 0.586029 | + | 0.425775i | ||||
\(806\) | −98199.5 | + | 302227.i | −0.00532441 | + | 0.0163869i | ||||
\(807\) | 803895. | + | 2.47414e6i | 0.0434526 | + | 0.133733i | ||||
\(808\) | 2.24859e6 | − | 1.63370e6i | 0.121166 | − | 0.0880326i | ||||
\(809\) | −1.10272e7 | + | 8.01175e6i | −0.592373 | + | 0.430384i | −0.843163 | − | 0.537657i | \(-0.819309\pi\) |
0.250791 | + | 0.968041i | \(0.419309\pi\) | |||||||
\(810\) | −17100.9 | − | 52631.2i | −0.000915813 | − | 0.00281858i | ||||
\(811\) | 551241. | − | 1.69654e6i | 0.0294299 | − | 0.0905760i | −0.935263 | − | 0.353954i | \(-0.884837\pi\) |
0.964693 | + | 0.263378i | \(0.0848368\pi\) | |||||||
\(812\) | −1.14421e7 | − | 8.31316e6i | −0.608997 | − | 0.442462i | ||||
\(813\) | −2.07993e7 | −1.10363 | ||||||||
\(814\) | −1.95343e6 | − | 361483.i | −0.103332 | − | 0.0191217i | ||||
\(815\) | 873514. | 0.0460655 | ||||||||
\(816\) | 3.69303e6 | + | 2.68314e6i | 0.194159 | + | 0.141065i | ||||
\(817\) | 351222. | − | 1.08095e6i | 0.0184089 | − | 0.0566566i | ||||
\(818\) | 682129. | + | 2.09938e6i | 0.0356438 | + | 0.109700i | ||||
\(819\) | 3.52089e6 | − | 2.55807e6i | 0.183418 | − | 0.133261i | ||||
\(820\) | 1.06357e7 | − | 7.72727e6i | 0.552370 | − | 0.401321i | ||||
\(821\) | 5.48764e6 | + | 1.68892e7i | 0.284137 | + | 0.874483i | 0.986656 | + | 0.162819i | \(0.0520585\pi\) |
−0.702519 | + | 0.711665i | \(0.747941\pi\) | |||||||
\(822\) | 280785. | − | 864167.i | 0.0144942 | − | 0.0446085i | ||||
\(823\) | 9.29180e6 | + | 6.75089e6i | 0.478190 | + | 0.347425i | 0.800624 | − | 0.599167i | \(-0.204501\pi\) |
−0.322435 | + | 0.946592i | \(0.604501\pi\) | |||||||
\(824\) | −2.84766e6 | −0.146107 | ||||||||
\(825\) | −4.59471e6 | + | 8.46804e6i | −0.235030 | + | 0.433160i | ||||
\(826\) | 1.53832e6 | 0.0784507 | ||||||||
\(827\) | 4.38177e6 | + | 3.18355e6i | 0.222785 | + | 0.161863i | 0.693580 | − | 0.720380i | \(-0.256033\pi\) |
−0.470794 | + | 0.882243i | \(0.656033\pi\) | |||||||
\(828\) | −2.93133e6 | + | 9.02170e6i | −0.148590 | + | 0.457312i | ||||
\(829\) | 3.11562e6 | + | 9.58888e6i | 0.157455 | + | 0.484598i | 0.998401 | − | 0.0565211i | \(-0.0180008\pi\) |
−0.840946 | + | 0.541119i | \(0.818001\pi\) | |||||||
\(830\) | −681423. | + | 495083.i | −0.0343338 | + | 0.0249450i | ||||
\(831\) | −329925. | + | 239704.i | −0.0165734 | + | 0.0120413i | ||||
\(832\) | −3.12019e6 | − | 9.60295e6i | −0.156269 | − | 0.480946i | ||||
\(833\) | 1.84157e6 | − | 5.66776e6i | 0.0919548 | − | 0.283008i | ||||
\(834\) | 458607. | + | 333197.i | 0.0228310 | + | 0.0165877i | ||||
\(835\) | −1.53689e6 | −0.0762829 | ||||||||
\(836\) | −290051. | − | 2.19842e6i | −0.0143535 | − | 0.108792i | ||||
\(837\) | −1.85126e6 | −0.0913384 | ||||||||
\(838\) | −594468. | − | 431906.i | −0.0292427 | − | 0.0212461i | ||||
\(839\) | −9.97828e6 | + | 3.07100e7i | −0.489385 | + | 1.50617i | 0.336142 | + | 0.941811i | \(0.390878\pi\) |
−0.825528 | + | 0.564362i | \(0.809122\pi\) | |||||||
\(840\) | 253560. | + | 780376.i | 0.0123989 | + | 0.0381598i | ||||
\(841\) | 1.10264e7 | − | 8.01118e6i | 0.537583 | − | 0.390577i | ||||
\(842\) | −457792. | + | 332605.i | −0.0222530 | + | 0.0161677i | ||||
\(843\) | 5.83840e6 | + | 1.79687e7i | 0.282960 | + | 0.870860i | ||||
\(844\) | 4.29625e6 | − | 1.32225e7i | 0.207603 | − | 0.638936i | ||||
\(845\) | 4.68249e6 | + | 3.40202e6i | 0.225598 | + | 0.163906i | ||||
\(846\) | −247921. | −0.0119093 | ||||||||
\(847\) | 1.48631e7 | + | 2.28592e7i | 0.711870 | + | 1.09485i | ||||
\(848\) | −1.73927e6 | −0.0830570 | ||||||||
\(849\) | −1.15667e7 | − | 8.40370e6i | −0.550732 | − | 0.400130i | ||||
\(850\) | 163369. | − | 502797.i | 0.00775570 | − | 0.0238696i | ||||
\(851\) | −1.42669e7 | − | 4.39090e7i | −0.675314 | − | 2.07840i | ||||
\(852\) | −1.50181e7 | + | 1.09113e7i | −0.708789 | + | 0.514966i | ||||
\(853\) | 3.04444e6 | − | 2.21192e6i | 0.143263 | − | 0.104087i | −0.513845 | − | 0.857883i | \(-0.671779\pi\) |
0.657108 | + | 0.753796i | \(0.271779\pi\) | |||||||
\(854\) | −924036. | − | 2.84389e6i | −0.0433555 | − | 0.133434i | ||||
\(855\) | −92903.9 | + | 285929.i | −0.00434629 | + | 0.0133765i | ||||
\(856\) | 162730. | + | 118231.i | 0.00759075 | + | 0.00551500i | ||||
\(857\) | −4.29220e6 | −0.199631 | −0.0998155 | − | 0.995006i | \(-0.531825\pi\) | ||||
−0.0998155 | + | 0.995006i | \(0.531825\pi\) | |||||||
\(858\) | −59119.2 | − | 448089.i | −0.00274164 | − | 0.0207800i | ||||
\(859\) | 9.07616e6 | 0.419681 | 0.209841 | − | 0.977736i | \(-0.432706\pi\) | ||||
0.209841 | + | 0.977736i | \(0.432706\pi\) | |||||||
\(860\) | −3.60973e6 | − | 2.62262e6i | −0.166429 | − | 0.120918i | ||||
\(861\) | 9.08735e6 | − | 2.79680e7i | 0.417762 | − | 1.28574i | ||||
\(862\) | 728989. | + | 2.24360e6i | 0.0334159 | + | 0.102843i | ||||
\(863\) | −1.67245e7 | + | 1.21511e7i | −0.764410 | + | 0.555376i | −0.900260 | − | 0.435353i | \(-0.856624\pi\) |
0.135850 | + | 0.990729i | \(0.456624\pi\) | |||||||
\(864\) | −709789. | + | 515692.i | −0.0323478 | + | 0.0235021i | ||||
\(865\) | −1.02004e6 | − | 3.13936e6i | −0.0463529 | − | 0.142660i | ||||
\(866\) | 882047. | − | 2.71466e6i | 0.0399666 | − | 0.123004i | ||||
\(867\) | −8.49870e6 | − | 6.17467e6i | −0.383977 | − | 0.278975i | ||||
\(868\) | 1.36911e7 | 0.616793 | ||||||||
\(869\) | 1.56314e7 | − | 2.88086e7i | 0.702179 | − | 1.29411i | ||||
\(870\) | 199140. | 0.00891990 | ||||||||
\(871\) | −6.00743e6 | − | 4.36465e6i | −0.268314 | − | 0.194941i | ||||
\(872\) | −600777. | + | 1.84900e6i | −0.0267561 | + | 0.0823467i | ||||
\(873\) | 3.10463e6 | + | 9.55508e6i | 0.137872 | + | 0.424325i | ||||
\(874\) | −203565. | + | 147899.i | −0.00901416 | + | 0.00654917i | ||||
\(875\) | −1.69710e7 | + | 1.23302e7i | −0.749356 | + | 0.544439i | ||||
\(876\) | −5.15856e6 | − | 1.58764e7i | −0.227127 | − | 0.699024i | ||||
\(877\) | −1.11914e6 | + | 3.44435e6i | −0.0491342 | + | 0.151220i | −0.972613 | − | 0.232429i | \(-0.925333\pi\) |
0.923479 | + | 0.383649i | \(0.125333\pi\) | |||||||
\(878\) | 207879. | + | 151033.i | 0.00910069 | + | 0.00661204i | ||||
\(879\) | −7.10456e6 | −0.310145 | ||||||||
\(880\) | −8.51782e6 | − | 1.57623e6i | −0.370784 | − | 0.0686139i | ||||
\(881\) | 2.61682e7 | 1.13588 | 0.567942 | − | 0.823069i | \(-0.307740\pi\) | ||||
0.567942 | + | 0.823069i | \(0.307740\pi\) | |||||||
\(882\) | 306366. | + | 222588.i | 0.0132608 | + | 0.00963452i | ||||
\(883\) | 1.13893e7 | − | 3.50528e7i | 0.491583 | − | 1.51294i | −0.330633 | − | 0.943760i | \(-0.607262\pi\) |
0.822215 | − | 0.569176i | \(-0.192738\pi\) | |||||||
\(884\) | −1.56968e6 | − | 4.83098e6i | −0.0675586 | − | 0.207924i | ||||
\(885\) | 3.58893e6 | − | 2.60751e6i | 0.154031 | − | 0.111910i | ||||
\(886\) | 417558. | − | 303373.i | 0.0178703 | − | 0.0129835i | ||||
\(887\) | −5.15919e6 | − | 1.58784e7i | −0.220177 | − | 0.677636i | −0.998745 | − | 0.0500760i | \(-0.984054\pi\) |
0.778568 | − | 0.627560i | \(-0.215946\pi\) | |||||||
\(888\) | 878973. | − | 2.70520e6i | 0.0374062 | − | 0.115124i | ||||
\(889\) | 1.27042e7 | + | 9.23013e6i | 0.539129 | + | 0.391700i | ||||
\(890\) | 576924. | 0.0244142 | ||||||||
\(891\) | 2.37620e6 | − | 1.13420e6i | 0.100274 | − | 0.0478625i | ||||
\(892\) | −5.89238e6 | −0.247958 | ||||||||
\(893\) | 1.08964e6 | + | 791673.i | 0.0457253 | + | 0.0332213i | ||||
\(894\) | −352775. | + | 1.08573e6i | −0.0147623 | + | 0.0454337i | ||||
\(895\) | 1.23924e6 | + | 3.81400e6i | 0.0517129 | + | 0.159156i | ||||
\(896\) | 6.99330e6 | − | 5.08093e6i | 0.291013 | − | 0.211433i | ||||
\(897\) | 8.49782e6 | − | 6.17403e6i | 0.352636 | − | 0.256205i | ||||
\(898\) | −394074. | − | 1.21284e6i | −0.0163075 | − | 0.0501893i | ||||
\(899\) | 2.05859e6 | − | 6.33570e6i | 0.0849515 | − | 0.261454i | ||||
\(900\) | −5.56637e6 | − | 4.04420e6i | −0.229069 | − | 0.166428i | ||||
\(901\) | −866327. | −0.0355525 | ||||||||
\(902\) | −2.10287e6 | − | 2.21472e6i | −0.0860588 | − | 0.0906365i | ||||
\(903\) | −9.98079e6 | −0.407329 | ||||||||
\(904\) | 2.96714e6 | + | 2.15575e6i | 0.120758 | + | 0.0877360i | ||||
\(905\) | −3.88003e6 | + | 1.19415e7i | −0.157476 | + | 0.484661i | ||||
\(906\) | 272276. | + | 837979.i | 0.0110202 | + | 0.0339166i | ||||
\(907\) | −2.87577e7 | + | 2.08937e7i | −1.16074 | + | 0.843329i | −0.989872 | − | 0.141964i | \(-0.954658\pi\) |
−0.170871 | + | 0.985293i | \(0.554658\pi\) | |||||||
\(908\) | −1.77972e7 | + | 1.29304e7i | −0.716371 | + | 0.520474i | ||||
\(909\) | −2.76347e6 | − | 8.50508e6i | −0.110929 | − | 0.341404i | ||||
\(910\) | 140042. | − | 431005.i | 0.00560603 | − | 0.0172536i | ||||
\(911\) | −7.21121e6 | − | 5.23925e6i | −0.287880 | − | 0.209157i | 0.434467 | − | 0.900688i | \(-0.356937\pi\) |
−0.722347 | + | 0.691530i | \(0.756937\pi\) | |||||||
\(912\) | 1.57586e6 | 0.0627380 | ||||||||
\(913\) | −2.75939e7 | − | 2.90617e7i | −1.09556 | − | 1.15384i | ||||
\(914\) | 49260.6 | 0.00195045 | ||||||||
\(915\) | −6.97629e6 | − | 5.06857e6i | −0.275468 | − | 0.200140i | ||||
\(916\) | −8.57986e6 | + | 2.64061e7i | −0.337864 | + | 1.03984i | ||||
\(917\) | −1.51339e7 | − | 4.65772e7i | −0.594328 | − | 1.82915i | ||||
\(918\) | −116890. | + | 84925.5i | −0.00457794 | + | 0.00332607i | ||||
\(919\) | −1.12448e7 | + | 8.16984e6i | −0.439201 | + | 0.319099i | −0.785318 | − | 0.619093i | \(-0.787500\pi\) |
0.346116 | + | 0.938192i | \(0.387500\pi\) | |||||||
\(920\) | 611977. | + | 1.88347e6i | 0.0238378 | + | 0.0733651i | ||||
\(921\) | 4.36876e6 | − | 1.34457e7i | 0.169711 | − | 0.522316i | ||||
\(922\) | −1.79378e6 | − | 1.30326e6i | −0.0694933 | − | 0.0504898i | ||||
\(923\) | 2.05554e7 | 0.794186 | ||||||||
\(924\) | −1.75733e7 | + | 8.38806e6i | −0.677133 | + | 0.323208i | ||||
\(925\) | 3.34872e7 | 1.28684 | ||||||||
\(926\) | −2.66680e6 | − | 1.93754e6i | −0.102203 | − | 0.0742547i | ||||
\(927\) | −2.83132e6 | + | 8.71392e6i | −0.108216 | + | 0.333054i | ||||
\(928\) | −975607. | − | 3.00261e6i | −0.0371882 | − | 0.114454i | ||||
\(929\) | −2.41986e7 | + | 1.75813e7i | −0.919923 | + | 0.668363i | −0.943505 | − | 0.331358i | \(-0.892493\pi\) |
0.0235815 | + | 0.999722i | \(0.492493\pi\) | |||||||
\(930\) | −155958. | + | 113310.i | −0.00591288 | + | 0.00429596i | ||||
\(931\) | −635740. | − | 1.95661e6i | −0.0240384 | − | 0.0739825i | ||||
\(932\) | −1.34892e7 | + | 4.15156e7i | −0.508684 | + | 1.56557i | ||||
\(933\) | 2.11109e7 | + | 1.53380e7i | 0.793967 | + | 0.576851i | ||||
\(934\) | 1.12935e6 | 0.0423604 | ||||||||
\(935\) | −4.24272e6 | − | 785118.i | −0.158714 | − | 0.0293701i | ||||
\(936\) | 647137. | 0.0241438 | ||||||||
\(937\) | 2.29370e7 | + | 1.66647e7i | 0.853468 | + | 0.620081i | 0.926100 | − | 0.377278i | \(-0.123140\pi\) |
−0.0726321 | + | 0.997359i | \(0.523140\pi\) | |||||||
\(938\) | 482697. | − | 1.48559e6i | 0.0179130 | − | 0.0551305i | ||||
\(939\) | 5.01488e6 | + | 1.54342e7i | 0.185608 | + | 0.571243i | ||||
\(940\) | 4.27762e6 | − | 3.10787e6i | 0.157900 | − | 0.114721i | ||||
\(941\) | 2.24125e7 | − | 1.62836e7i | 0.825118 | − | 0.599483i | −0.0930562 | − | 0.995661i | \(-0.529664\pi\) |
0.918174 | + | 0.396178i | \(0.129664\pi\) | |||||||
\(942\) | −65549.2 | − | 201740.i | −0.00240680 | − | 0.00740737i | ||||
\(943\) | 2.19327e7 | − | 6.75020e7i | 0.803181 | − | 2.47194i | ||||
\(944\) | −1.88118e7 | − | 1.36676e7i | −0.687070 | − | 0.499186i | ||||
\(945\) | 2.64008e6 | 0.0961694 | ||||||||
\(946\) | −494335. | + | 911058.i | −0.0179595 | + | 0.0330993i | ||||
\(947\) | 3.07722e7 | 1.11502 | 0.557511 | − | 0.830169i | \(-0.311756\pi\) | ||||
0.557511 | + | 0.830169i | \(0.311756\pi\) | |||||||
\(948\) | 1.89370e7 | + | 1.37585e7i | 0.684368 | + | 0.497223i | ||||
\(949\) | −5.71210e6 | + | 1.75800e7i | −0.205888 | + | 0.633657i | ||||
\(950\) | −56397.6 | − | 173574.i | −0.00202746 | − | 0.00623987i | ||||
\(951\) | −8.40465e6 | + | 6.10633e6i | −0.301348 | + | 0.218942i | ||||
\(952\) | 1.73315e6 | − | 1.25921e6i | 0.0619791 | − | 0.0450304i | ||||
\(953\) | 3.34801e6 | + | 1.03041e7i | 0.119414 | + | 0.367518i | 0.992842 | − | 0.119435i | \(-0.0381082\pi\) |
−0.873428 | + | 0.486953i | \(0.838108\pi\) | |||||||
\(954\) | 17011.5 | − | 52356.0i | 0.000605162 | − | 0.00186250i | ||||
\(955\) | −1.64448e7 | − | 1.19479e7i | −0.583474 | − | 0.423919i | ||||
\(956\) | 2.84463e7 | 1.00666 | ||||||||
\(957\) | 1.23934e6 | + | 9.39345e6i | 0.0437431 | + | 0.331547i | ||||
\(958\) | 1.50024e6 | 0.0528137 | ||||||||
\(959\) | 3.50694e7 | + | 2.54794e7i | 1.23135 | + | 0.894629i | ||||
\(960\) | 1.89279e6 | − | 5.82542e6i | 0.0662865 | − | 0.204009i | ||||
\(961\) | −6.85411e6 | − | 2.10948e7i | −0.239410 | − | 0.736828i | ||||
\(962\) | −1.27095e6 | + | 923402.i | −0.0442784 | + | 0.0321702i | ||||
\(963\) | 523586. | − | 380408.i | 0.0181938 | − | 0.0132185i | ||||
\(964\) | −3.69942e6 | − | 1.13856e7i | −0.128216 | − | 0.394607i | ||||
\(965\) | −621984. | + | 1.91427e6i | −0.0215011 | + | 0.0661737i | ||||
\(966\) | 1.78759e6 | + | 1.29876e6i | 0.0616348 | + | 0.0447803i | ||||
\(967\) | −1.17579e7 | −0.404356 | −0.202178 | − | 0.979349i | \(-0.564802\pi\) | ||||
−0.202178 | + | 0.979349i | \(0.564802\pi\) | |||||||
\(968\) | −209934. | + | 4.04899e6i | −0.00720101 | + | 0.138886i | ||||
\(969\) | 784935. | 0.0268549 | ||||||||
\(970\) | 846384. | + | 614934.i | 0.0288827 | + | 0.0209845i | ||||
\(971\) | −8.23386e6 | + | 2.53412e7i | −0.280256 | + | 0.862540i | 0.707524 | + | 0.706689i | \(0.249812\pi\) |
−0.987781 | + | 0.155851i | \(0.950188\pi\) | |||||||
\(972\) | 581071. | + | 1.78835e6i | 0.0197271 | + | 0.0607139i | ||||
\(973\) | −2.18786e7 | + | 1.58957e7i | −0.740863 | + | 0.538268i | ||||
\(974\) | −2.54232e6 | + | 1.84711e6i | −0.0858684 | + | 0.0623870i | ||||
\(975\) | 2.35431e6 | + | 7.24583e6i | 0.0793145 | + | 0.244105i | ||||
\(976\) | −1.39674e7 | + | 4.29872e7i | −0.469343 | + | 1.44449i | ||||
\(977\) | 7.43094e6 | + | 5.39890e6i | 0.249062 | + | 0.180954i | 0.705311 | − | 0.708898i | \(-0.250807\pi\) |
−0.456249 | + | 0.889852i | \(0.650807\pi\) | |||||||
\(978\) | 144921. | 0.00484488 | ||||||||
\(979\) | 3.59046e6 | + | 2.72136e7i | 0.119727 | + | 0.907463i | ||||
\(980\) | −8.07634e6 | −0.268627 | ||||||||
\(981\) | 5.06067e6 | + | 3.67679e6i | 0.167894 | + | 0.121982i | ||||
\(982\) | 622525. | − | 1.91594e6i | 0.0206005 | − | 0.0634019i | ||||
\(983\) | −3.92328e6 | − | 1.20746e7i | −0.129499 | − | 0.398556i | 0.865195 | − | 0.501435i | \(-0.167194\pi\) |
−0.994694 | + | 0.102879i | \(0.967194\pi\) | |||||||
\(984\) | 3.53764e6 | − | 2.57025e6i | 0.116473 | − | 0.0846228i | ||||
\(985\) | 1.77108e7 | − | 1.28676e7i | 0.581629 | − | 0.422579i | ||||
\(986\) | −160665. | − | 494478.i | −0.00526296 | − | 0.0161977i | ||||
\(987\) | 3.65489e6 | − | 1.12486e7i | 0.119421 | − | 0.367541i | ||||
\(988\) | −1.41866e6 | − | 1.03072e6i | −0.0462367 | − | 0.0335929i | ||||
\(989\) | −2.40891e7 | −0.783122 | ||||||||
\(990\) | 130760. | − | 240989.i | 0.00424019 | − | 0.00781466i | ||||
\(991\) | −8.79715e6 | −0.284549 | −0.142275 | − | 0.989827i | \(-0.545442\pi\) | ||||
−0.142275 | + | 0.989827i | \(0.545442\pi\) | |||||||
\(992\) | 2.47253e6 | + | 1.79640e6i | 0.0797742 | + | 0.0579593i | ||||
\(993\) | −1.92352e6 | + | 5.91998e6i | −0.0619046 | + | 0.190523i | ||||
\(994\) | 1.33620e6 | + | 4.11239e6i | 0.0428948 | + | 0.132017i | ||||
\(995\) | 1.88445e6 | − | 1.36913e6i | 0.0603430 | − | 0.0438418i | ||||
\(996\) | 2.31541e7 | − | 1.68224e7i | 0.739569 | − | 0.537328i | ||||
\(997\) | 4.57132e6 | + | 1.40691e7i | 0.145648 | + | 0.448258i | 0.997094 | − | 0.0761845i | \(-0.0242738\pi\) |
−0.851446 | + | 0.524442i | \(0.824274\pi\) | |||||||
\(998\) | −534157. | + | 1.64397e6i | −0.0169763 | + | 0.0522476i | ||||
\(999\) | −7.40406e6 | − | 5.37937e6i | −0.234723 | − | 0.170537i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 33.6.e.b.4.3 | ✓ | 20 | |
3.2 | odd | 2 | 99.6.f.b.37.3 | 20 | |||
11.3 | even | 5 | inner | 33.6.e.b.25.3 | yes | 20 | |
11.5 | even | 5 | 363.6.a.r.1.5 | 10 | |||
11.6 | odd | 10 | 363.6.a.t.1.6 | 10 | |||
33.5 | odd | 10 | 1089.6.a.bk.1.6 | 10 | |||
33.14 | odd | 10 | 99.6.f.b.91.3 | 20 | |||
33.17 | even | 10 | 1089.6.a.bi.1.5 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.e.b.4.3 | ✓ | 20 | 1.1 | even | 1 | trivial | |
33.6.e.b.25.3 | yes | 20 | 11.3 | even | 5 | inner | |
99.6.f.b.37.3 | 20 | 3.2 | odd | 2 | |||
99.6.f.b.91.3 | 20 | 33.14 | odd | 10 | |||
363.6.a.r.1.5 | 10 | 11.5 | even | 5 | |||
363.6.a.t.1.6 | 10 | 11.6 | odd | 10 | |||
1089.6.a.bi.1.5 | 10 | 33.17 | even | 10 | |||
1089.6.a.bk.1.6 | 10 | 33.5 | odd | 10 |