Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,6,Mod(6,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.6");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.d (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: | \(4.00959549532\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 16.10 | ||
Character | \(\chi\) | \(=\) | 25.16 |
Dual form | 25.6.d.a.11.10 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 7.08950 | + | 5.15083i | 1.25326 | + | 0.910546i | 0.998406 | − | 0.0564337i | \(-0.0179730\pi\) |
0.254853 | + | 0.966980i | \(0.417973\pi\) | |||||||
\(3\) | 5.03780 | + | 15.5047i | 0.323175 | + | 0.994630i | 0.972258 | + | 0.233912i | \(0.0751528\pi\) |
−0.649083 | + | 0.760718i | \(0.724847\pi\) | |||||||
\(4\) | 13.8415 | + | 42.5998i | 0.432547 | + | 1.33124i | ||||
\(5\) | 5.66616 | − | 55.6138i | 0.101359 | − | 0.994850i | ||||
\(6\) | −44.1468 | + | 135.870i | −0.500635 | + | 1.54079i | ||||
\(7\) | −72.9673 | −0.562838 | −0.281419 | − | 0.959585i | \(-0.590805\pi\) | ||||
−0.281419 | + | 0.959585i | \(0.590805\pi\) | |||||||
\(8\) | −34.6403 | + | 106.612i | −0.191363 | + | 0.588954i | ||||
\(9\) | −18.4266 | + | 13.3877i | −0.0758298 | + | 0.0550936i | ||||
\(10\) | 326.627 | − | 365.089i | 1.03289 | − | 1.15451i | ||||
\(11\) | 142.406 | + | 103.464i | 0.354852 | + | 0.257815i | 0.750902 | − | 0.660414i | \(-0.229619\pi\) |
−0.396050 | + | 0.918229i | \(0.629619\pi\) | |||||||
\(12\) | −590.768 | + | 429.218i | −1.18431 | + | 0.860449i | ||||
\(13\) | 4.89891 | − | 3.55927i | 0.00803972 | − | 0.00584120i | −0.583758 | − | 0.811928i | \(-0.698418\pi\) |
0.591798 | + | 0.806086i | \(0.298418\pi\) | |||||||
\(14\) | −517.302 | − | 375.842i | −0.705382 | − | 0.512490i | ||||
\(15\) | 890.823 | − | 192.319i | 1.02226 | − | 0.220695i | ||||
\(16\) | 364.879 | − | 265.100i | 0.356327 | − | 0.258887i | ||||
\(17\) | −533.079 | + | 1640.65i | −0.447373 | + | 1.37687i | 0.432488 | + | 0.901640i | \(0.357636\pi\) |
−0.879861 | + | 0.475232i | \(0.842364\pi\) | |||||||
\(18\) | −199.594 | −0.145200 | ||||||||
\(19\) | 753.289 | − | 2318.38i | 0.478716 | − | 1.47334i | −0.362165 | − | 0.932114i | \(-0.617962\pi\) |
0.840880 | − | 0.541221i | \(-0.182038\pi\) | |||||||
\(20\) | 2447.57 | − | 528.402i | 1.36823 | − | 0.295386i | ||||
\(21\) | −367.595 | − | 1131.34i | −0.181895 | − | 0.559816i | ||||
\(22\) | 476.663 | + | 1467.02i | 0.209969 | + | 0.646218i | ||||
\(23\) | −3830.65 | − | 2783.13i | −1.50991 | − | 1.09702i | −0.966215 | − | 0.257738i | \(-0.917023\pi\) |
−0.543700 | − | 0.839280i | \(-0.682977\pi\) | |||||||
\(24\) | −1827.50 | −0.647635 | ||||||||
\(25\) | −3060.79 | − | 630.233i | −0.979453 | − | 0.201675i | ||||
\(26\) | 53.0640 | 0.0153945 | ||||||||
\(27\) | 2904.55 | + | 2110.28i | 0.766779 | + | 0.557097i | ||||
\(28\) | −1009.98 | − | 3108.40i | −0.243454 | − | 0.749275i | ||||
\(29\) | 388.108 | + | 1194.47i | 0.0856954 | + | 0.263743i | 0.984717 | − | 0.174160i | \(-0.0557211\pi\) |
−0.899022 | + | 0.437904i | \(0.855721\pi\) | |||||||
\(30\) | 7306.09 | + | 3225.03i | 1.48212 | + | 0.654230i | ||||
\(31\) | −1006.41 | + | 3097.40i | −0.188091 | + | 0.578885i | −0.999988 | − | 0.00491585i | \(-0.998435\pi\) |
0.811897 | + | 0.583801i | \(0.198435\pi\) | |||||||
\(32\) | 7539.45 | 1.30156 | ||||||||
\(33\) | −886.772 | + | 2729.20i | −0.141751 | + | 0.436266i | ||||
\(34\) | −12230.0 | + | 8885.59i | −1.81438 | + | 1.31822i | ||||
\(35\) | −413.444 | + | 4057.99i | −0.0570489 | + | 0.559939i | ||||
\(36\) | −825.368 | − | 599.665i | −0.106143 | − | 0.0771174i | ||||
\(37\) | −12425.9 | + | 9027.96i | −1.49219 | + | 1.08414i | −0.518825 | + | 0.854880i | \(0.673630\pi\) |
−0.973365 | + | 0.229260i | \(0.926370\pi\) | |||||||
\(38\) | 17282.0 | − | 12556.1i | 1.94149 | − | 1.41058i | ||||
\(39\) | 79.8652 | + | 58.0255i | 0.00840807 | + | 0.00610882i | ||||
\(40\) | 5732.82 | + | 2530.56i | 0.566524 | + | 0.250073i | ||||
\(41\) | −4218.31 | + | 3064.78i | −0.391903 | + | 0.284734i | −0.766235 | − | 0.642561i | \(-0.777872\pi\) |
0.374332 | + | 0.927295i | \(0.377872\pi\) | |||||||
\(42\) | 3221.27 | − | 9914.06i | 0.281776 | − | 0.867218i | ||||
\(43\) | 14637.4 | 1.20724 | 0.603619 | − | 0.797273i | \(-0.293725\pi\) | ||||
0.603619 | + | 0.797273i | \(0.293725\pi\) | |||||||
\(44\) | −2436.43 | + | 7498.58i | −0.189724 | + | 0.583912i | ||||
\(45\) | 640.135 | + | 1100.63i | 0.0471238 | + | 0.0810235i | ||||
\(46\) | −12822.0 | − | 39462.0i | −0.893430 | − | 2.74969i | ||||
\(47\) | −2273.25 | − | 6996.33i | −0.150107 | − | 0.461983i | 0.847525 | − | 0.530755i | \(-0.178092\pi\) |
−0.997632 | + | 0.0687726i | \(0.978092\pi\) | |||||||
\(48\) | 5948.50 | + | 4321.84i | 0.372653 | + | 0.270748i | ||||
\(49\) | −11482.8 | −0.683213 | ||||||||
\(50\) | −18453.3 | − | 20233.6i | −1.04387 | − | 1.14459i | ||||
\(51\) | −28123.4 | −1.51406 | ||||||||
\(52\) | 219.432 | + | 159.427i | 0.0112536 | + | 0.00817624i | ||||
\(53\) | −3174.75 | − | 9770.88i | −0.155246 | − | 0.477798i | 0.842940 | − | 0.538008i | \(-0.180823\pi\) |
−0.998186 | + | 0.0602101i | \(0.980823\pi\) | |||||||
\(54\) | 9722.15 | + | 29921.7i | 0.453710 | + | 1.39637i | ||||
\(55\) | 6560.93 | − | 7333.50i | 0.292455 | − | 0.326892i | ||||
\(56\) | 2527.61 | − | 7779.19i | 0.107706 | − | 0.331486i | ||||
\(57\) | 39740.9 | 1.62013 | ||||||||
\(58\) | −3401.03 | + | 10467.3i | −0.132752 | + | 0.408568i | ||||
\(59\) | 22715.7 | − | 16503.9i | 0.849565 | − | 0.617245i | −0.0754609 | − | 0.997149i | \(-0.524043\pi\) |
0.925026 | + | 0.379904i | \(0.124043\pi\) | |||||||
\(60\) | 20523.1 | + | 35286.9i | 0.735977 | + | 1.26542i | ||||
\(61\) | 16516.8 | + | 12000.1i | 0.568330 | + | 0.412916i | 0.834498 | − | 0.551010i | \(-0.185758\pi\) |
−0.266168 | + | 0.963927i | \(0.585758\pi\) | |||||||
\(62\) | −23089.1 | + | 16775.2i | −0.762829 | + | 0.554228i | ||||
\(63\) | 1344.54 | − | 976.868i | 0.0426799 | − | 0.0310088i | ||||
\(64\) | 41774.8 | + | 30351.2i | 1.27487 | + | 0.926245i | ||||
\(65\) | −170.186 | − | 292.614i | −0.00499622 | − | 0.00859038i | ||||
\(66\) | −20344.4 | + | 14781.1i | −0.574891 | + | 0.417683i | ||||
\(67\) | −8773.57 | + | 27002.3i | −0.238775 | + | 0.734874i | 0.757823 | + | 0.652460i | \(0.226263\pi\) |
−0.996598 | + | 0.0824141i | \(0.973737\pi\) | |||||||
\(68\) | −77270.0 | −2.02646 | ||||||||
\(69\) | 23853.7 | − | 73414.0i | 0.603160 | − | 1.85634i | ||||
\(70\) | −23833.1 | + | 26639.6i | −0.581348 | + | 0.649804i | ||||
\(71\) | −1472.91 | − | 4533.15i | −0.0346761 | − | 0.106722i | 0.932220 | − | 0.361891i | \(-0.117869\pi\) |
−0.966896 | + | 0.255169i | \(0.917869\pi\) | |||||||
\(72\) | −788.988 | − | 2428.26i | −0.0179366 | − | 0.0552031i | ||||
\(73\) | 34766.0 | + | 25259.0i | 0.763568 | + | 0.554764i | 0.900003 | − | 0.435885i | \(-0.143564\pi\) |
−0.136435 | + | 0.990649i | \(0.543564\pi\) | |||||||
\(74\) | −134595. | −2.85726 | ||||||||
\(75\) | −5648.03 | − | 50631.8i | −0.115943 | − | 1.03937i | ||||
\(76\) | 109189. | 2.16844 | ||||||||
\(77\) | −10391.0 | − | 7549.50i | −0.199724 | − | 0.145108i | ||||
\(78\) | 267.326 | + | 822.744i | 0.00497513 | + | 0.0153119i | ||||
\(79\) | −13104.5 | − | 40331.6i | −0.236240 | − | 0.727072i | −0.996955 | − | 0.0779853i | \(-0.975151\pi\) |
0.760715 | − | 0.649087i | \(-0.224849\pi\) | |||||||
\(80\) | −12675.8 | − | 21794.4i | −0.221437 | − | 0.380733i | ||||
\(81\) | −19797.2 | + | 60929.4i | −0.335267 | + | 1.03184i | ||||
\(82\) | −45691.9 | −0.750420 | ||||||||
\(83\) | 2923.07 | − | 8996.29i | 0.0465741 | − | 0.143340i | −0.925065 | − | 0.379808i | \(-0.875990\pi\) |
0.971639 | + | 0.236468i | \(0.0759899\pi\) | |||||||
\(84\) | 43106.8 | − | 31318.9i | 0.666573 | − | 0.484294i | ||||
\(85\) | 88222.2 | + | 38942.7i | 1.32443 | + | 0.584627i | ||||
\(86\) | 103772. | + | 75394.7i | 1.51298 | + | 1.09925i | ||||
\(87\) | −16564.8 | + | 12035.0i | −0.234632 | + | 0.170470i | ||||
\(88\) | −15963.5 | + | 11598.2i | −0.219746 | + | 0.159655i | ||||
\(89\) | 33400.1 | + | 24266.6i | 0.446965 | + | 0.324739i | 0.788396 | − | 0.615168i | \(-0.210912\pi\) |
−0.341432 | + | 0.939907i | \(0.610912\pi\) | |||||||
\(90\) | −1130.93 | + | 11100.2i | −0.0147173 | + | 0.144452i | ||||
\(91\) | −357.460 | + | 259.710i | −0.00452506 | + | 0.00328765i | ||||
\(92\) | 65538.7 | − | 201708.i | 0.807288 | − | 2.48458i | ||||
\(93\) | −53094.4 | −0.636563 | ||||||||
\(94\) | 19920.7 | − | 61309.6i | 0.232533 | − | 0.715664i | ||||
\(95\) | −124666. | − | 55029.6i | −1.41722 | − | 0.625586i | ||||
\(96\) | 37982.2 | + | 116897.i | 0.420632 | + | 1.29457i | ||||
\(97\) | 43193.1 | + | 132935.i | 0.466106 | + | 1.43453i | 0.857586 | + | 0.514340i | \(0.171963\pi\) |
−0.391480 | + | 0.920187i | \(0.628037\pi\) | |||||||
\(98\) | −81407.1 | − | 59145.7i | −0.856243 | − | 0.622097i | ||||
\(99\) | −4009.22 | −0.0411123 | ||||||||
\(100\) | −15518.2 | − | 139112.i | −0.155182 | − | 1.39112i | ||||
\(101\) | 5552.30 | 0.0541588 | 0.0270794 | − | 0.999633i | \(-0.491379\pi\) | ||||
0.0270794 | + | 0.999633i | \(0.491379\pi\) | |||||||
\(102\) | −199381. | − | 144859.i | −1.89751 | − | 1.37862i | ||||
\(103\) | 33499.5 | + | 103101.i | 0.311133 | + | 0.957568i | 0.977317 | + | 0.211781i | \(0.0679264\pi\) |
−0.666184 | + | 0.745787i | \(0.732074\pi\) | |||||||
\(104\) | 209.761 | + | 645.577i | 0.00190169 | + | 0.00585281i | ||||
\(105\) | −65001.0 | + | 14033.0i | −0.575369 | + | 0.124216i | ||||
\(106\) | 27820.7 | − | 85623.3i | 0.240493 | − | 0.740163i | ||||
\(107\) | 160664. | 1.35662 | 0.678312 | − | 0.734774i | \(-0.262712\pi\) | ||||
0.678312 | + | 0.734774i | \(0.262712\pi\) | |||||||
\(108\) | −49694.2 | + | 152943.i | −0.409964 | + | 1.26174i | ||||
\(109\) | 69415.1 | − | 50433.1i | 0.559613 | − | 0.406583i | −0.271704 | − | 0.962381i | \(-0.587587\pi\) |
0.831317 | + | 0.555798i | \(0.187587\pi\) | |||||||
\(110\) | 84287.3 | − | 18196.7i | 0.664172 | − | 0.143387i | ||||
\(111\) | −202576. | − | 147180.i | −1.56056 | − | 1.13381i | ||||
\(112\) | −26624.3 | + | 19343.7i | −0.200555 | + | 0.145711i | ||||
\(113\) | 20050.3 | − | 14567.4i | 0.147715 | − | 0.107321i | −0.511473 | − | 0.859299i | \(-0.670900\pi\) |
0.659188 | + | 0.751978i | \(0.270900\pi\) | |||||||
\(114\) | 281743. | + | 204698.i | 2.03045 | + | 1.47520i | ||||
\(115\) | −176485. | + | 197267.i | −1.24441 | + | 1.39095i | ||||
\(116\) | −45512.3 | + | 33066.6i | −0.314039 | + | 0.228163i | ||||
\(117\) | −42.6199 | + | 131.171i | −0.000287838 | + | 0.000885874i | ||||
\(118\) | 246052. | 1.62676 | ||||||||
\(119\) | 38897.4 | − | 119714.i | 0.251798 | − | 0.774956i | ||||
\(120\) | −10354.9 | + | 101634.i | −0.0656438 | + | 0.644299i | ||||
\(121\) | −40192.8 | − | 123701.i | −0.249566 | − | 0.768084i | ||||
\(122\) | 55285.1 | + | 170150.i | 0.336286 | + | 1.03498i | ||||
\(123\) | −68769.6 | − | 49964.1i | −0.409858 | − | 0.297780i | ||||
\(124\) | −145879. | −0.851996 | ||||||||
\(125\) | −52392.6 | + | 166651.i | −0.299913 | + | 0.953967i | ||||
\(126\) | 14563.8 | 0.0817239 | ||||||||
\(127\) | −93352.0 | − | 67824.2i | −0.513587 | − | 0.373143i | 0.300596 | − | 0.953752i | \(-0.402815\pi\) |
−0.814183 | + | 0.580609i | \(0.802815\pi\) | |||||||
\(128\) | 65274.9 | + | 200896.i | 0.352145 | + | 1.08379i | ||||
\(129\) | 73740.3 | + | 226949.i | 0.390149 | + | 1.20076i | ||||
\(130\) | 300.669 | − | 2951.09i | 0.00156038 | − | 0.0153153i | ||||
\(131\) | 26872.0 | − | 82703.5i | 0.136811 | − | 0.421062i | −0.859056 | − | 0.511881i | \(-0.828949\pi\) |
0.995867 | + | 0.0908197i | \(0.0289487\pi\) | |||||||
\(132\) | −128538. | −0.642090 | ||||||||
\(133\) | −54965.5 | + | 169166.i | −0.269439 | + | 0.829249i | ||||
\(134\) | −201284. | + | 146242.i | −0.968384 | + | 0.703572i | ||||
\(135\) | 133818. | − | 149576.i | 0.631948 | − | 0.706363i | ||||
\(136\) | −156447. | − | 113665.i | −0.725303 | − | 0.526963i | ||||
\(137\) | 301145. | − | 218795.i | 1.37080 | − | 0.995946i | 0.373128 | − | 0.927780i | \(-0.378285\pi\) |
0.997674 | − | 0.0681662i | \(-0.0217148\pi\) | |||||||
\(138\) | 547254. | − | 397603.i | 2.44619 | − | 1.77726i | ||||
\(139\) | −27140.4 | − | 19718.6i | −0.119146 | − | 0.0865645i | 0.526617 | − | 0.850103i | \(-0.323460\pi\) |
−0.645762 | + | 0.763538i | \(0.723460\pi\) | |||||||
\(140\) | −178592. | + | 38556.1i | −0.770092 | + | 0.166254i | ||||
\(141\) | 97024.2 | − | 70492.2i | 0.410991 | − | 0.298602i | ||||
\(142\) | 12907.3 | − | 39724.5i | 0.0537172 | − | 0.165325i | ||||
\(143\) | 1065.89 | 0.00435886 | ||||||||
\(144\) | −3174.41 | + | 9769.81i | −0.0127572 | + | 0.0392627i | ||||
\(145\) | 68628.3 | − | 14816.1i | 0.271071 | − | 0.0585212i | ||||
\(146\) | 116369. | + | 358147.i | 0.451810 | + | 1.39053i | ||||
\(147\) | −57847.9 | − | 178037.i | −0.220797 | − | 0.679544i | ||||
\(148\) | −556583. | − | 404381.i | −2.08870 | − | 1.51753i | ||||
\(149\) | −442133. | −1.63150 | −0.815751 | − | 0.578403i | \(-0.803676\pi\) | ||||
−0.815751 | + | 0.578403i | \(0.803676\pi\) | |||||||
\(150\) | 220754. | − | 388046.i | 0.801087 | − | 1.40817i | ||||
\(151\) | −378241. | −1.34998 | −0.674989 | − | 0.737828i | \(-0.735851\pi\) | ||||
−0.674989 | + | 0.737828i | \(0.735851\pi\) | |||||||
\(152\) | 221073. | + | 160619.i | 0.776118 | + | 0.563883i | ||||
\(153\) | −12141.7 | − | 37368.4i | −0.0419326 | − | 0.129055i | ||||
\(154\) | −34780.9 | − | 107044.i | −0.118179 | − | 0.363716i | ||||
\(155\) | 166556. | + | 73520.3i | 0.556839 | + | 0.245798i | ||||
\(156\) | −1366.42 | + | 4205.41i | −0.00449544 | + | 0.0138355i | ||||
\(157\) | 31333.4 | 0.101451 | 0.0507257 | − | 0.998713i | \(-0.483847\pi\) | ||||
0.0507257 | + | 0.998713i | \(0.483847\pi\) | |||||||
\(158\) | 114836. | − | 353430.i | 0.365963 | − | 1.12632i | ||||
\(159\) | 135501. | − | 98447.4i | 0.425060 | − | 0.308824i | ||||
\(160\) | 42719.7 | − | 419297.i | 0.131925 | − | 1.29486i | ||||
\(161\) | 279512. | + | 203077.i | 0.849838 | + | 0.617443i | ||||
\(162\) | −454189. | + | 329987.i | −1.35972 | + | 0.987893i | ||||
\(163\) | −120404. | + | 87478.9i | −0.354955 | + | 0.257890i | −0.750945 | − | 0.660365i | \(-0.770402\pi\) |
0.395990 | + | 0.918255i | \(0.370402\pi\) | |||||||
\(164\) | −188947. | − | 137278.i | −0.548567 | − | 0.398558i | ||||
\(165\) | 146757. | + | 64780.8i | 0.419651 | + | 0.185241i | ||||
\(166\) | 67061.5 | − | 48723.0i | 0.188887 | − | 0.137235i | ||||
\(167\) | −67610.5 | + | 208084.i | −0.187596 | + | 0.577360i | −0.999983 | − | 0.00575728i | \(-0.998167\pi\) |
0.812388 | + | 0.583118i | \(0.198167\pi\) | |||||||
\(168\) | 133348. | 0.364513 | ||||||||
\(169\) | −114725. | + | 353086.i | −0.308986 | + | 0.950963i | ||||
\(170\) | 424865. | + | 730502.i | 1.12753 | + | 1.93865i | ||||
\(171\) | 17157.3 | + | 52804.9i | 0.0448704 | + | 0.138097i | ||||
\(172\) | 202604. | + | 623551.i | 0.522188 | + | 1.60713i | ||||
\(173\) | −302147. | − | 219523.i | −0.767545 | − | 0.557654i | 0.133670 | − | 0.991026i | \(-0.457324\pi\) |
−0.901215 | + | 0.433372i | \(0.857324\pi\) | |||||||
\(174\) | −179427. | −0.449276 | ||||||||
\(175\) | 223338. | + | 45986.4i | 0.551273 | + | 0.113510i | ||||
\(176\) | 79389.4 | 0.193188 | ||||||||
\(177\) | 370327. | + | 269058.i | 0.888489 | + | 0.645525i | ||||
\(178\) | 111797. | + | 344076.i | 0.264473 | + | 0.813964i | ||||
\(179\) | −176646. | − | 543661.i | −0.412071 | − | 1.26822i | −0.914845 | − | 0.403805i | \(-0.867687\pi\) |
0.502774 | − | 0.864418i | \(-0.332313\pi\) | |||||||
\(180\) | −38026.3 | + | 42504.0i | −0.0874788 | + | 0.0977797i | ||||
\(181\) | 61198.0 | − | 188348.i | 0.138848 | − | 0.427332i | −0.857320 | − | 0.514783i | \(-0.827872\pi\) |
0.996169 | + | 0.0874517i | \(0.0278724\pi\) | |||||||
\(182\) | −3871.94 | −0.00866463 | ||||||||
\(183\) | −102851. | + | 316543.i | −0.227029 | + | 0.698723i | ||||
\(184\) | 429410. | − | 311984.i | 0.935034 | − | 0.679342i | ||||
\(185\) | 431672. | + | 742207.i | 0.927309 | + | 1.59439i | ||||
\(186\) | −376413. | − | 273480.i | −0.797778 | − | 0.579620i | ||||
\(187\) | −245662. | + | 178484.i | −0.513729 | + | 0.373246i | ||||
\(188\) | 266577. | − | 193680.i | 0.550083 | − | 0.399659i | ||||
\(189\) | −211938. | − | 153982.i | −0.431572 | − | 0.313556i | ||||
\(190\) | −600372. | − | 1.03227e6i | −1.20652 | − | 2.07447i | ||||
\(191\) | 491969. | − | 357437.i | 0.975786 | − | 0.708950i | 0.0190231 | − | 0.999819i | \(-0.493944\pi\) |
0.956763 | + | 0.290869i | \(0.0939444\pi\) | |||||||
\(192\) | −260134. | + | 800611.i | −0.509266 | + | 1.56736i | ||||
\(193\) | −715810. | −1.38326 | −0.691631 | − | 0.722251i | \(-0.743107\pi\) | ||||
−0.691631 | + | 0.722251i | \(0.743107\pi\) | |||||||
\(194\) | −378506. | + | 1.16492e6i | −0.722051 | + | 2.22225i | ||||
\(195\) | 3679.55 | − | 4112.83i | 0.00692960 | − | 0.00774558i | ||||
\(196\) | −158939. | − | 489164.i | −0.295522 | − | 0.909524i | ||||
\(197\) | −254266. | − | 782550.i | −0.466791 | − | 1.43664i | −0.856716 | − | 0.515788i | \(-0.827499\pi\) |
0.389925 | − | 0.920847i | \(-0.372501\pi\) | |||||||
\(198\) | −28423.4 | − | 20650.8i | −0.0515243 | − | 0.0374346i | ||||
\(199\) | 1.02067e6 | 1.82705 | 0.913526 | − | 0.406780i | \(-0.133349\pi\) | ||||
0.913526 | + | 0.406780i | \(0.133349\pi\) | |||||||
\(200\) | 173217. | − | 304485.i | 0.306208 | − | 0.538259i | ||||
\(201\) | −462863. | −0.808094 | ||||||||
\(202\) | 39363.0 | + | 28598.9i | 0.0678751 | + | 0.0493141i | ||||
\(203\) | −28319.2 | − | 87157.6i | −0.0482326 | − | 0.148445i | ||||
\(204\) | −389270. | − | 1.19805e6i | −0.654902 | − | 2.01558i | ||||
\(205\) | 146542. | + | 251962.i | 0.243545 | + | 0.418745i | ||||
\(206\) | −293560. | + | 903485.i | −0.481980 | + | 1.48338i | ||||
\(207\) | 107846. | 0.174935 | ||||||||
\(208\) | 843.948 | − | 2597.41i | 0.00135256 | − | 0.00416276i | ||||
\(209\) | 347143. | − | 252214.i | 0.549721 | − | 0.399396i | ||||
\(210\) | −533106. | − | 235322.i | −0.834191 | − | 0.368226i | ||||
\(211\) | 52849.2 | + | 38397.2i | 0.0817207 | + | 0.0593736i | 0.627895 | − | 0.778298i | \(-0.283917\pi\) |
−0.546175 | + | 0.837671i | \(0.683917\pi\) | |||||||
\(212\) | 372294. | − | 270488.i | 0.568914 | − | 0.413340i | ||||
\(213\) | 62865.1 | − | 45674.2i | 0.0949425 | − | 0.0689798i | ||||
\(214\) | 1.13903e6 | + | 827553.i | 1.70020 | + | 1.23527i | ||||
\(215\) | 82937.8 | − | 814042.i | 0.122365 | − | 1.20102i | ||||
\(216\) | −325596. | + | 236559.i | −0.474837 | + | 0.344990i | ||||
\(217\) | 73434.7 | − | 226009.i | 0.105865 | − | 0.325819i | ||||
\(218\) | 751891. | 1.07155 | ||||||||
\(219\) | −216490. | + | 666288.i | −0.305019 | + | 0.938753i | ||||
\(220\) | 403219. | + | 177988.i | 0.561674 | + | 0.247932i | ||||
\(221\) | 3228.00 | + | 9934.76i | 0.00444583 | + | 0.0136829i | ||||
\(222\) | −678063. | − | 2.08686e6i | −0.923395 | − | 2.84192i | ||||
\(223\) | 171623. | + | 124692.i | 0.231107 | + | 0.167909i | 0.697312 | − | 0.716767i | \(-0.254379\pi\) |
−0.466205 | + | 0.884677i | \(0.654379\pi\) | |||||||
\(224\) | −550134. | −0.732568 | ||||||||
\(225\) | 64837.5 | − | 29364.0i | 0.0853827 | − | 0.0386686i | ||||
\(226\) | 217181. | 0.282846 | ||||||||
\(227\) | 296666. | + | 215541.i | 0.382123 | + | 0.277629i | 0.762220 | − | 0.647318i | \(-0.224109\pi\) |
−0.380097 | + | 0.924947i | \(0.624109\pi\) | |||||||
\(228\) | 550074. | + | 1.69295e6i | 0.700784 | + | 2.15679i | ||||
\(229\) | 137463. | + | 423067.i | 0.173219 | + | 0.533115i | 0.999548 | − | 0.0300742i | \(-0.00957437\pi\) |
−0.826328 | + | 0.563189i | \(0.809574\pi\) | |||||||
\(230\) | −2.26728e6 | + | 489481.i | −2.82609 | + | 0.610121i | ||||
\(231\) | 64705.4 | − | 199143.i | 0.0797830 | − | 0.245547i | ||||
\(232\) | −140789. | −0.171731 | ||||||||
\(233\) | 81365.9 | − | 250418.i | 0.0981866 | − | 0.302187i | −0.889884 | − | 0.456186i | \(-0.849215\pi\) |
0.988071 | + | 0.153999i | \(0.0492151\pi\) | |||||||
\(234\) | −977.791 | + | 710.407i | −0.00116736 | + | 0.000848140i | ||||
\(235\) | −401973. | + | 86781.5i | −0.474818 | + | 0.102508i | ||||
\(236\) | 1.01749e6 | + | 739246.i | 1.18918 | + | 0.863991i | ||||
\(237\) | 559313. | − | 406365.i | 0.646821 | − | 0.469943i | ||||
\(238\) | 892388. | − | 648358.i | 1.02120 | − | 0.741946i | ||||
\(239\) | −548678. | − | 398638.i | −0.621331 | − | 0.451423i | 0.232055 | − | 0.972703i | \(-0.425455\pi\) |
−0.853386 | + | 0.521279i | \(0.825455\pi\) | |||||||
\(240\) | 274059. | − | 306331.i | 0.307126 | − | 0.343291i | ||||
\(241\) | 463186. | − | 336524.i | 0.513703 | − | 0.373227i | −0.300523 | − | 0.953774i | \(-0.597161\pi\) |
0.814227 | + | 0.580547i | \(0.197161\pi\) | |||||||
\(242\) | 352214. | − | 1.08400e6i | 0.386606 | − | 1.18985i | ||||
\(243\) | −172004. | −0.186862 | ||||||||
\(244\) | −282587. | + | 869712.i | −0.303862 | + | 0.935192i | ||||
\(245\) | −65063.2 | + | 638600.i | −0.0692500 | + | 0.679695i | ||||
\(246\) | −230186. | − | 708441.i | −0.242517 | − | 0.746390i | ||||
\(247\) | −4561.46 | − | 14038.7i | −0.00475731 | − | 0.0146415i | ||||
\(248\) | −295357. | − | 214590.i | −0.304943 | − | 0.221554i | ||||
\(249\) | 154211. | 0.157622 | ||||||||
\(250\) | −1.22983e6 | + | 911609.i | −1.24450 | + | 0.922483i | ||||
\(251\) | −111733. | −0.111943 | −0.0559717 | − | 0.998432i | \(-0.517826\pi\) | ||||
−0.0559717 | + | 0.998432i | \(0.517826\pi\) | |||||||
\(252\) | 60224.9 | + | 43755.9i | 0.0597413 | + | 0.0434046i | ||||
\(253\) | −257554. | − | 792669.i | −0.252969 | − | 0.778557i | ||||
\(254\) | −312469. | − | 961680.i | −0.303894 | − | 0.935290i | ||||
\(255\) | −159352. | + | 1.56405e6i | −0.153464 | + | 1.50626i | ||||
\(256\) | −61401.4 | + | 188974.i | −0.0585570 | + | 0.180220i | ||||
\(257\) | −1.39626e6 | −1.31866 | −0.659330 | − | 0.751854i | \(-0.729160\pi\) | ||||
−0.659330 | + | 0.751854i | \(0.729160\pi\) | |||||||
\(258\) | −646194. | + | 1.98878e6i | −0.604385 | + | 1.86011i | ||||
\(259\) | 906687. | − | 658746.i | 0.839862 | − | 0.610195i | ||||
\(260\) | 10109.7 | − | 11300.1i | 0.00927479 | − | 0.0103669i | ||||
\(261\) | −23142.8 | − | 16814.2i | −0.0210288 | − | 0.0152783i | ||||
\(262\) | 616501. | − | 447914.i | 0.554856 | − | 0.403127i | ||||
\(263\) | 352763. | − | 256297.i | 0.314480 | − | 0.228483i | −0.419336 | − | 0.907831i | \(-0.637737\pi\) |
0.733817 | + | 0.679348i | \(0.237737\pi\) | |||||||
\(264\) | −260248. | − | 189081.i | −0.229814 | − | 0.166970i | ||||
\(265\) | −561384. | + | 121197.i | −0.491073 | + | 0.106017i | ||||
\(266\) | −1.26102e6 | + | 916188.i | −1.09275 | + | 0.793927i | ||||
\(267\) | −207985. | + | 640111.i | −0.178547 | + | 0.549512i | ||||
\(268\) | −1.27173e6 | −1.08158 | ||||||||
\(269\) | −90853.0 | + | 279617.i | −0.0765524 | + | 0.235604i | −0.982009 | − | 0.188835i | \(-0.939529\pi\) |
0.905456 | + | 0.424439i | \(0.139529\pi\) | |||||||
\(270\) | 1.71915e6 | − | 371145.i | 1.43517 | − | 0.309837i | ||||
\(271\) | 389991. | + | 1.20027e6i | 0.322576 | + | 0.992785i | 0.972523 | + | 0.232806i | \(0.0747908\pi\) |
−0.649948 | + | 0.759979i | \(0.725209\pi\) | |||||||
\(272\) | 240427. | + | 739958.i | 0.197043 | + | 0.606436i | ||||
\(273\) | −5827.56 | − | 4233.97i | −0.00473238 | − | 0.00343828i | ||||
\(274\) | 3.26195e6 | 2.62483 | ||||||||
\(275\) | −370669. | − | 406431.i | −0.295566 | − | 0.324082i | ||||
\(276\) | 3.45759e6 | 2.73213 | ||||||||
\(277\) | 802977. | + | 583397.i | 0.628787 | + | 0.456841i | 0.855980 | − | 0.517009i | \(-0.172955\pi\) |
−0.227193 | + | 0.973850i | \(0.572955\pi\) | |||||||
\(278\) | −90844.6 | − | 279591.i | −0.0704997 | − | 0.216976i | ||||
\(279\) | −22922.5 | − | 70548.1i | −0.0176299 | − | 0.0542594i | ||||
\(280\) | −418309. | − | 184648.i | −0.318861 | − | 0.140751i | ||||
\(281\) | 256750. | − | 790196.i | 0.193975 | − | 0.596992i | −0.806012 | − | 0.591899i | \(-0.798379\pi\) |
0.999987 | − | 0.00509381i | \(-0.00162142\pi\) | |||||||
\(282\) | 1.05095e6 | 0.786970 | ||||||||
\(283\) | −684366. | + | 2.10626e6i | −0.507952 | + | 1.56331i | 0.287800 | + | 0.957691i | \(0.407076\pi\) |
−0.795751 | + | 0.605624i | \(0.792924\pi\) | |||||||
\(284\) | 172724. | − | 125491.i | 0.127074 | − | 0.0923247i | ||||
\(285\) | 225178. | − | 2.21014e6i | 0.164215 | − | 1.61179i | ||||
\(286\) | 7556.64 | + | 5490.22i | 0.00546278 | + | 0.00396894i | ||||
\(287\) | 307799. | − | 223629.i | 0.220578 | − | 0.160259i | ||||
\(288\) | −138927. | + | 100936.i | −0.0986971 | + | 0.0717077i | ||||
\(289\) | −1.25887e6 | − | 914621.i | −0.886616 | − | 0.644164i | ||||
\(290\) | 562856. | + | 248454.i | 0.393009 | + | 0.173480i | ||||
\(291\) | −1.84352e6 | + | 1.33940e6i | −1.27619 | + | 0.927206i | ||||
\(292\) | −594813. | + | 1.83065e6i | −0.408248 | + | 1.25646i | ||||
\(293\) | −820797. | −0.558556 | −0.279278 | − | 0.960210i | \(-0.590095\pi\) | ||||
−0.279278 | + | 0.960210i | \(0.590095\pi\) | |||||||
\(294\) | 506927. | − | 1.56016e6i | 0.342040 | − | 1.05269i | ||||
\(295\) | −789136. | − | 1.35682e6i | −0.527955 | − | 0.907753i | ||||
\(296\) | −532051. | − | 1.63748e6i | −0.352959 | − | 1.08629i | ||||
\(297\) | 195288. | + | 601034.i | 0.128465 | + | 0.395374i | ||||
\(298\) | −3.13451e6 | − | 2.27735e6i | −2.04470 | − | 1.48556i | ||||
\(299\) | −28671.9 | −0.0185472 | ||||||||
\(300\) | 2.07873e6 | − | 941425.i | 1.33350 | − | 0.603925i | ||||
\(301\) | −1.06805e6 | −0.679480 | ||||||||
\(302\) | −2.68154e6 | − | 1.94825e6i | −1.69187 | − | 1.22922i | ||||
\(303\) | 27971.3 | + | 86087.0i | 0.0175028 | + | 0.0538680i | ||||
\(304\) | −339745. | − | 1.04563e6i | −0.210848 | − | 0.648923i | ||||
\(305\) | 760960. | − | 850566.i | 0.468395 | − | 0.523551i | ||||
\(306\) | 106399. | − | 327463.i | 0.0649583 | − | 0.199921i | ||||
\(307\) | −3.04501e6 | −1.84392 | −0.921961 | − | 0.387283i | \(-0.873414\pi\) | ||||
−0.921961 | + | 0.387283i | \(0.873414\pi\) | |||||||
\(308\) | 177780. | − | 547151.i | 0.106784 | − | 0.328648i | ||||
\(309\) | −1.42979e6 | + | 1.03880e6i | −0.851876 | + | 0.618924i | ||||
\(310\) | 802106. | + | 1.37912e6i | 0.474053 | + | 0.815076i | ||||
\(311\) | 489920. | + | 355948.i | 0.287226 | + | 0.208682i | 0.722063 | − | 0.691827i | \(-0.243194\pi\) |
−0.434837 | + | 0.900509i | \(0.643194\pi\) | |||||||
\(312\) | −8952.77 | + | 6504.57i | −0.00520680 | + | 0.00378296i | ||||
\(313\) | 2.51789e6 | − | 1.82935e6i | 1.45270 | − | 1.05545i | 0.467507 | − | 0.883989i | \(-0.345152\pi\) |
0.985191 | − | 0.171458i | \(-0.0548478\pi\) | |||||||
\(314\) | 222138. | + | 161393.i | 0.127145 | + | 0.0923761i | ||||
\(315\) | −46708.9 | − | 80310.2i | −0.0265231 | − | 0.0456031i | ||||
\(316\) | 1.53673e6 | − | 1.11650e6i | 0.865725 | − | 0.628986i | ||||
\(317\) | 138351. | − | 425801.i | 0.0773277 | − | 0.237990i | −0.904919 | − | 0.425584i | \(-0.860069\pi\) |
0.982247 | + | 0.187594i | \(0.0600688\pi\) | |||||||
\(318\) | 1.46772e6 | 0.813910 | ||||||||
\(319\) | −68316.2 | + | 210256.i | −0.0375878 | + | 0.115683i | ||||
\(320\) | 1.92465e6 | − | 2.15128e6i | 1.05069 | − | 1.17442i | ||||
\(321\) | 809393. | + | 2.49106e6i | 0.438427 | + | 1.34934i | ||||
\(322\) | 935586. | + | 2.87944e6i | 0.502856 | + | 1.54763i | ||||
\(323\) | 3.40209e6 | + | 2.47177e6i | 1.81443 | + | 1.31826i | ||||
\(324\) | −2.86960e6 | −1.51866 | ||||||||
\(325\) | −17237.7 | + | 7806.71i | −0.00905255 | + | 0.00409977i | ||||
\(326\) | −1.30420e6 | −0.679671 | ||||||||
\(327\) | 1.13165e6 | + | 822193.i | 0.585252 | + | 0.425211i | ||||
\(328\) | −180619. | − | 555887.i | −0.0926997 | − | 0.285300i | ||||
\(329\) | 165873. | + | 510504.i | 0.0844861 | + | 0.260022i | ||||
\(330\) | 706758. | + | 1.21518e6i | 0.357261 | + | 0.614266i | ||||
\(331\) | 328015. | − | 1.00953e6i | 0.164560 | − | 0.506463i | −0.834444 | − | 0.551093i | \(-0.814211\pi\) |
0.999004 | + | 0.0446299i | \(0.0142109\pi\) | |||||||
\(332\) | 423700. | 0.210966 | ||||||||
\(333\) | 108104. | − | 332710.i | 0.0534234 | − | 0.164420i | ||||
\(334\) | −1.55113e6 | + | 1.12696e6i | −0.760819 | + | 0.552768i | ||||
\(335\) | 1.45199e6 | + | 640930.i | 0.706888 | + | 0.312032i | ||||
\(336\) | −434046. | − | 315353.i | −0.209743 | − | 0.152387i | ||||
\(337\) | −635766. | + | 461911.i | −0.304946 | + | 0.221556i | −0.729725 | − | 0.683741i | \(-0.760352\pi\) |
0.424779 | + | 0.905297i | \(0.360352\pi\) | |||||||
\(338\) | −2.63202e6 | + | 1.91228e6i | −1.25314 | + | 0.910456i | ||||
\(339\) | 326873. | + | 237487.i | 0.154483 | + | 0.112238i | ||||
\(340\) | −437824. | + | 4.29728e6i | −0.205401 | + | 2.01603i | ||||
\(341\) | −463788. | + | 336961.i | −0.215990 | + | 0.156926i | ||||
\(342\) | −150352. | + | 462735.i | −0.0695093 | + | 0.213928i | ||||
\(343\) | 2.06423e6 | 0.947377 | ||||||||
\(344\) | −507045. | + | 1.56052e6i | −0.231020 | + | 0.711007i | ||||
\(345\) | −3.94767e6 | − | 1.74257e6i | −1.78564 | − | 0.788210i | ||||
\(346\) | −1.01135e6 | − | 3.11262e6i | −0.454163 | − | 1.39777i | ||||
\(347\) | 370886. | + | 1.14147e6i | 0.165355 | + | 0.508910i | 0.999062 | − | 0.0432967i | \(-0.0137861\pi\) |
−0.833708 | + | 0.552206i | \(0.813786\pi\) | |||||||
\(348\) | −741972. | − | 539074.i | −0.328427 | − | 0.238616i | ||||
\(349\) | −1.58843e6 | −0.698079 | −0.349040 | − | 0.937108i | \(-0.613492\pi\) | ||||
−0.349040 | + | 0.937108i | \(0.613492\pi\) | |||||||
\(350\) | 1.34649e6 | + | 1.47639e6i | 0.587532 | + | 0.644217i | ||||
\(351\) | 21740.2 | 0.00941881 | ||||||||
\(352\) | 1.07366e6 | + | 780063.i | 0.461862 | + | 0.335562i | ||||
\(353\) | −241339. | − | 742765.i | −0.103084 | − | 0.317260i | 0.886192 | − | 0.463318i | \(-0.153341\pi\) |
−0.989276 | + | 0.146058i | \(0.953341\pi\) | |||||||
\(354\) | 1.23956e6 | + | 3.81498e6i | 0.525727 | + | 1.61802i | ||||
\(355\) | −260451. | + | 56228.5i | −0.109687 | + | 0.0236802i | ||||
\(356\) | −571445. | + | 1.75873e6i | −0.238973 | + | 0.735484i | ||||
\(357\) | 2.05209e6 | 0.852169 | ||||||||
\(358\) | 1.54797e6 | − | 4.76416e6i | 0.638344 | − | 1.96462i | ||||
\(359\) | 2.88649e6 | − | 2.09715e6i | 1.18204 | − | 0.858804i | 0.189642 | − | 0.981853i | \(-0.439267\pi\) |
0.992401 | + | 0.123049i | \(0.0392672\pi\) | |||||||
\(360\) | −139515. | + | 30119.8i | −0.0567368 | + | 0.0122488i | ||||
\(361\) | −2.80426e6 | − | 2.03741e6i | −1.13253 | − | 0.822832i | ||||
\(362\) | 1.40401e6 | − | 1.02007e6i | 0.563118 | − | 0.409129i | ||||
\(363\) | 1.71547e6 | − | 1.24636e6i | 0.683306 | − | 0.496451i | ||||
\(364\) | −16011.4 | − | 11633.0i | −0.00633397 | − | 0.00460190i | ||||
\(365\) | 1.60174e6 | − | 1.79035e6i | 0.629302 | − | 0.703405i | ||||
\(366\) | −2.35962e6 | + | 1.71436e6i | −0.920745 | + | 0.668960i | ||||
\(367\) | 961591. | − | 2.95947e6i | 0.372671 | − | 1.14696i | −0.572366 | − | 0.819998i | \(-0.693974\pi\) |
0.945037 | − | 0.326965i | \(-0.106026\pi\) | |||||||
\(368\) | −2.13553e6 | −0.822028 | ||||||||
\(369\) | 36698.8 | − | 112947.i | 0.0140309 | − | 0.0431827i | ||||
\(370\) | −762637. | + | 7.48534e6i | −0.289610 | + | 2.84255i | ||||
\(371\) | 231653. | + | 712955.i | 0.0873783 | + | 0.268923i | ||||
\(372\) | −734907. | − | 2.26181e6i | −0.275344 | − | 0.847421i | ||||
\(373\) | −370587. | − | 269247.i | −0.137917 | − | 0.100203i | 0.516688 | − | 0.856174i | \(-0.327165\pi\) |
−0.654605 | + | 0.755971i | \(0.727165\pi\) | |||||||
\(374\) | −2.66096e6 | −0.983693 | ||||||||
\(375\) | −2.84783e6 | + | 27221.1i | −1.04577 | + | 0.00999602i | ||||
\(376\) | 824639. | 0.300811 | ||||||||
\(377\) | 6152.76 | + | 4470.24i | 0.00222955 | + | 0.00161986i | ||||
\(378\) | −709400. | − | 2.18331e6i | −0.255365 | − | 0.785933i | ||||
\(379\) | 803526. | + | 2.47300e6i | 0.287344 | + | 0.884354i | 0.985686 | + | 0.168590i | \(0.0539214\pi\) |
−0.698342 | + | 0.715764i | \(0.746079\pi\) | |||||||
\(380\) | 618684. | − | 6.07244e6i | 0.219791 | − | 2.15727i | ||||
\(381\) | 581308. | − | 1.78908e6i | 0.205161 | − | 0.631420i | ||||
\(382\) | 5.32891e6 | 1.86844 | ||||||||
\(383\) | 999529. | − | 3.07623e6i | 0.348176 | − | 1.07157i | −0.611686 | − | 0.791101i | \(-0.709508\pi\) |
0.959862 | − | 0.280474i | \(-0.0904916\pi\) | |||||||
\(384\) | −2.78599e6 | + | 2.02414e6i | −0.964167 | + | 0.700508i | ||||
\(385\) | −478734. | + | 535106.i | −0.164605 | + | 0.183987i | ||||
\(386\) | −5.07474e6 | − | 3.68701e6i | −1.73359 | − | 1.25952i | ||||
\(387\) | −269718. | + | 195962.i | −0.0915446 | + | 0.0665111i | ||||
\(388\) | −5.06513e6 | + | 3.68003e6i | −1.70809 | + | 1.24100i | ||||
\(389\) | 3.58440e6 | + | 2.60422e6i | 1.20100 | + | 0.872576i | 0.994383 | − | 0.105846i | \(-0.0337550\pi\) |
0.206616 | + | 0.978422i | \(0.433755\pi\) | |||||||
\(390\) | 47270.6 | − | 10205.2i | 0.0157373 | − | 0.00339751i | ||||
\(391\) | 6.60817e6 | − | 4.80112e6i | 2.18595 | − | 1.58818i | ||||
\(392\) | 397767. | − | 1.22420e6i | 0.130741 | − | 0.402381i | ||||
\(393\) | 1.41767e6 | 0.463015 | ||||||||
\(394\) | 2.22816e6 | − | 6.85757e6i | 0.723112 | − | 2.22551i | ||||
\(395\) | −2.31724e6 | + | 500267.i | −0.747273 | + | 0.161328i | ||||
\(396\) | −55493.6 | − | 170792.i | −0.0177830 | − | 0.0547305i | ||||
\(397\) | 750345. | + | 2.30933e6i | 0.238938 | + | 0.735375i | 0.996575 | + | 0.0826987i | \(0.0263539\pi\) |
−0.757637 | + | 0.652676i | \(0.773646\pi\) | |||||||
\(398\) | 7.23602e6 | + | 5.25727e6i | 2.28977 | + | 1.66362i | ||||
\(399\) | −2.89979e6 | −0.911872 | ||||||||
\(400\) | −1.28389e6 | + | 581457.i | −0.401217 | + | 0.181705i | ||||
\(401\) | −6.03957e6 | −1.87562 | −0.937810 | − | 0.347149i | \(-0.887150\pi\) | ||||
−0.937810 | + | 0.347149i | \(0.887150\pi\) | |||||||
\(402\) | −3.28147e6 | − | 2.38412e6i | −1.01275 | − | 0.735807i | ||||
\(403\) | 6094.17 | + | 18755.9i | 0.00186918 | + | 0.00575276i | ||||
\(404\) | 76852.2 | + | 236527.i | 0.0234263 | + | 0.0720986i | ||||
\(405\) | 3.27634e6 | + | 1.44623e6i | 0.992548 | + | 0.438127i | ||||
\(406\) | 248164. | − | 763771.i | 0.0747178 | − | 0.229958i | ||||
\(407\) | −2.70360e6 | −0.809014 | ||||||||
\(408\) | 974204. | − | 2.99829e6i | 0.289734 | − | 0.891709i | ||||
\(409\) | −1.39051e6 | + | 1.01027e6i | −0.411024 | + | 0.298626i | −0.774016 | − | 0.633166i | \(-0.781755\pi\) |
0.362992 | + | 0.931792i | \(0.381755\pi\) | |||||||
\(410\) | −258897. | + | 2.54110e6i | −0.0760620 | + | 0.746555i | ||||
\(411\) | 4.90947e6 | + | 3.56694e6i | 1.43361 | + | 1.04158i | ||||
\(412\) | −3.92840e6 | + | 2.85415e6i | −1.14018 | + | 0.828388i | ||||
\(413\) | −1.65751e6 | + | 1.20425e6i | −0.478168 | + | 0.347409i | ||||
\(414\) | 764573. | + | 555495.i | 0.219239 | + | 0.159287i | ||||
\(415\) | −483755. | − | 213538.i | −0.137881 | − | 0.0608631i | ||||
\(416\) | 36935.1 | − | 26834.9i | 0.0104642 | − | 0.00760268i | ||||
\(417\) | 169005. | − | 520143.i | 0.0475947 | − | 0.146482i | ||||
\(418\) | 3.76018e6 | 1.05261 | ||||||||
\(419\) | 193838. | − | 596571.i | 0.0539390 | − | 0.166007i | −0.920458 | − | 0.390841i | \(-0.872184\pi\) |
0.974397 | + | 0.224834i | \(0.0721841\pi\) | |||||||
\(420\) | −1.49751e6 | − | 2.57479e6i | −0.414236 | − | 0.712228i | ||||
\(421\) | 1.26434e6 | + | 3.89125e6i | 0.347664 | + | 1.07000i | 0.960142 | + | 0.279512i | \(0.0901727\pi\) |
−0.612478 | + | 0.790488i | \(0.709827\pi\) | |||||||
\(422\) | 176897. | + | 544434.i | 0.0483549 | + | 0.148821i | ||||
\(423\) | 135553. | + | 98485.3i | 0.0368349 | + | 0.0267621i | ||||
\(424\) | 1.15167e6 | 0.311109 | ||||||||
\(425\) | 2.66563e6 | − | 4.68572e6i | 0.715860 | − | 1.25836i | ||||
\(426\) | 680942. | 0.181797 | ||||||||
\(427\) | −1.20519e6 | − | 875619.i | −0.319878 | − | 0.232405i | ||||
\(428\) | 2.22383e6 | + | 6.84426e6i | 0.586804 | + | 1.80600i | ||||
\(429\) | 5369.75 | + | 16526.4i | 0.00140867 | + | 0.00433545i | ||||
\(430\) | 4.78098e6 | − | 5.34395e6i | 1.24694 | − | 1.39377i | ||||
\(431\) | −1.19273e6 | + | 3.67085e6i | −0.309279 | + | 0.951862i | 0.668767 | + | 0.743472i | \(0.266822\pi\) |
−0.978046 | + | 0.208390i | \(0.933178\pi\) | |||||||
\(432\) | 1.61925e6 | 0.417450 | ||||||||
\(433\) | −242275. | + | 745646.i | −0.0620996 | + | 0.191123i | −0.977293 | − | 0.211892i | \(-0.932038\pi\) |
0.915194 | + | 0.403015i | \(0.132038\pi\) | |||||||
\(434\) | 1.68475e6 | − | 1.22404e6i | 0.429349 | − | 0.311940i | ||||
\(435\) | 575455. | + | 989424.i | 0.145810 | + | 0.250703i | ||||
\(436\) | 3.10925e6 | + | 2.25900e6i | 0.783320 | + | 0.569115i | ||||
\(437\) | −9.33794e6 | + | 6.78441e6i | −2.33909 | + | 1.69945i | ||||
\(438\) | −4.96674e6 | + | 3.60855e6i | −1.23705 | + | 0.898767i | ||||
\(439\) | −922248. | − | 670052.i | −0.228395 | − | 0.165939i | 0.467703 | − | 0.883886i | \(-0.345082\pi\) |
−0.696097 | + | 0.717947i | \(0.745082\pi\) | |||||||
\(440\) | 554567. | + | 953509.i | 0.136560 | + | 0.234797i | ||||
\(441\) | 211589. | − | 153728.i | 0.0518079 | − | 0.0376407i | ||||
\(442\) | −28287.3 | + | 87059.4i | −0.00688710 | + | 0.0211963i | ||||
\(443\) | −6.07721e6 | −1.47128 | −0.735639 | − | 0.677373i | \(-0.763118\pi\) | ||||
−0.735639 | + | 0.677373i | \(0.763118\pi\) | |||||||
\(444\) | 3.46588e6 | − | 1.06669e7i | 0.834364 | − | 2.56791i | ||||
\(445\) | 1.53881e6 | − | 1.72001e6i | 0.368370 | − | 0.411747i | ||||
\(446\) | 574459. | + | 1.76800e6i | 0.136748 | + | 0.420868i | ||||
\(447\) | −2.22738e6 | − | 6.85517e6i | −0.527261 | − | 1.62274i | ||||
\(448\) | −3.04820e6 | − | 2.21465e6i | −0.717544 | − | 0.521326i | ||||
\(449\) | 1.50469e6 | 0.352234 | 0.176117 | − | 0.984369i | \(-0.443646\pi\) | ||||
0.176117 | + | 0.984369i | \(0.443646\pi\) | |||||||
\(450\) | 610914. | + | 125791.i | 0.142216 | + | 0.0292831i | ||||
\(451\) | −917808. | −0.212476 | ||||||||
\(452\) | 898095. | + | 652504.i | 0.206765 | + | 0.150223i | ||||
\(453\) | −1.90550e6 | − | 5.86453e6i | −0.436279 | − | 1.34273i | ||||
\(454\) | 993004. | + | 3.05615e6i | 0.226106 | + | 0.695881i | ||||
\(455\) | 12418.0 | + | 21351.3i | 0.00281206 | + | 0.00483499i | ||||
\(456\) | −1.37664e6 | + | 4.23686e6i | −0.310033 | + | 0.954183i | ||||
\(457\) | 4.42029e6 | 0.990058 | 0.495029 | − | 0.868877i | \(-0.335157\pi\) | ||||
0.495029 | + | 0.868877i | \(0.335157\pi\) | |||||||
\(458\) | −1.20460e6 | + | 3.70738e6i | −0.268337 | + | 0.825855i | ||||
\(459\) | −5.01059e6 | + | 3.64041e6i | −1.11009 | + | 0.806526i | ||||
\(460\) | −1.08464e7 | − | 4.78777e6i | −2.38996 | − | 1.05497i | ||||
\(461\) | 5.99682e6 | + | 4.35695e6i | 1.31422 | + | 0.954838i | 0.999985 | + | 0.00549362i | \(0.00174868\pi\) |
0.314237 | + | 0.949345i | \(0.398251\pi\) | |||||||
\(462\) | 1.48448e6 | − | 1.07854e6i | 0.323571 | − | 0.235088i | ||||
\(463\) | −4.11381e6 | + | 2.98885e6i | −0.891849 | + | 0.647966i | −0.936359 | − | 0.351043i | \(-0.885827\pi\) |
0.0445105 | + | 0.999009i | \(0.485827\pi\) | |||||||
\(464\) | 458268. | + | 332951.i | 0.0988153 | + | 0.0717935i | ||||
\(465\) | −300841. | + | 2.95278e6i | −0.0645216 | + | 0.633285i | ||||
\(466\) | 1.86671e6 | − | 1.35624e6i | 0.398209 | − | 0.289316i | ||||
\(467\) | 558250. | − | 1.71812e6i | 0.118450 | − | 0.364553i | −0.874201 | − | 0.485565i | \(-0.838614\pi\) |
0.992651 | + | 0.121012i | \(0.0386140\pi\) | |||||||
\(468\) | −6177.77 | −0.00130382 | ||||||||
\(469\) | 640184. | − | 1.97028e6i | 0.134392 | − | 0.413615i | ||||
\(470\) | −3.29679e6 | − | 1.45526e6i | −0.688409 | − | 0.303875i | ||||
\(471\) | 157851. | + | 485816.i | 0.0327865 | + | 0.100907i | ||||
\(472\) | 972638. | + | 2.99347e6i | 0.200954 | + | 0.618472i | ||||
\(473\) | 2.08446e6 | + | 1.51445e6i | 0.428391 | + | 0.311244i | ||||
\(474\) | 6.05836e6 | 1.23854 | ||||||||
\(475\) | −3.76678e6 | + | 6.62134e6i | −0.766013 | + | 1.34652i | ||||
\(476\) | 5.63818e6 | 1.14057 | ||||||||
\(477\) | 189310. | + | 137542.i | 0.0380958 | + | 0.0276782i | ||||
\(478\) | −1.83654e6 | − | 5.65229e6i | −0.367647 | − | 1.13150i | ||||
\(479\) | −951830. | − | 2.92943e6i | −0.189549 | − | 0.583371i | 0.810448 | − | 0.585810i | \(-0.199224\pi\) |
−0.999997 | + | 0.00243944i | \(0.999224\pi\) | |||||||
\(480\) | 6.71631e6 | − | 1.44998e6i | 1.33054 | − | 0.287249i | ||||
\(481\) | −28740.6 | + | 88454.3i | −0.00566412 | + | 0.0174324i | ||||
\(482\) | 5.01713e6 | 0.983644 | ||||||||
\(483\) | −1.74054e6 | + | 5.35683e6i | −0.339481 | + | 1.04482i | ||||
\(484\) | 4.71330e6 | − | 3.42441e6i | 0.914559 | − | 0.664466i | ||||
\(485\) | 7.63774e6 | − | 1.64890e6i | 1.47438 | − | 0.318303i | ||||
\(486\) | −1.21942e6 | − | 885960.i | −0.234187 | − | 0.170147i | ||||
\(487\) | 2.04667e6 | − | 1.48700e6i | 0.391045 | − | 0.284110i | −0.374839 | − | 0.927090i | \(-0.622302\pi\) |
0.765883 | + | 0.642980i | \(0.222302\pi\) | |||||||
\(488\) | −1.85151e6 | + | 1.34520e6i | −0.351946 | + | 0.255704i | ||||
\(489\) | −1.96291e6 | − | 1.42614e6i | −0.371218 | − | 0.269705i | ||||
\(490\) | −3.75058e6 | + | 4.19223e6i | −0.705682 | + | 0.788778i | ||||
\(491\) | 5.23774e6 | − | 3.80544e6i | 0.980483 | − | 0.712363i | 0.0226666 | − | 0.999743i | \(-0.492784\pi\) |
0.957817 | + | 0.287380i | \(0.0927844\pi\) | |||||||
\(492\) | 1.17658e6 | − | 3.62115e6i | 0.219134 | − | 0.674425i | ||||
\(493\) | −2.16660e6 | −0.401478 | ||||||||
\(494\) | 39972.5 | − | 123023.i | 0.00736961 | − | 0.0226813i | ||||
\(495\) | −22716.9 | + | 222968.i | −0.00416711 | + | 0.0409006i | ||||
\(496\) | 453904. | + | 1.39697e6i | 0.0828438 | + | 0.254967i | ||||
\(497\) | 107474. | + | 330772.i | 0.0195170 | + | 0.0600672i | ||||
\(498\) | 1.09328e6 | + | 794315.i | 0.197541 | + | 0.143522i | ||||
\(499\) | 754574. | 0.135660 | 0.0678298 | − | 0.997697i | \(-0.478393\pi\) | ||||
0.0678298 | + | 0.997697i | \(0.478393\pi\) | |||||||
\(500\) | −7.82450e6 | + | 74790.8i | −1.39969 | + | 0.0133790i | ||||
\(501\) | −3.56689e6 | −0.634886 | ||||||||
\(502\) | −792133. | − | 575519.i | −0.140294 | − | 0.101930i | ||||
\(503\) | −259217. | − | 797787.i | −0.0456818 | − | 0.140594i | 0.925614 | − | 0.378469i | \(-0.123549\pi\) |
−0.971296 | + | 0.237875i | \(0.923549\pi\) | |||||||
\(504\) | 57570.4 | + | 177183.i | 0.0100954 | + | 0.0310704i | ||||
\(505\) | 31460.2 | − | 308784.i | 0.00548950 | − | 0.0538799i | ||||
\(506\) | 2.25697e6 | − | 6.94625e6i | 0.391877 | − | 1.20607i | ||||
\(507\) | −6.05246e6 | −1.04571 | ||||||||
\(508\) | 1.59716e6 | − | 4.91557e6i | 0.274593 | − | 0.845112i | ||||
\(509\) | −1.91794e6 | + | 1.39347e6i | −0.328127 | + | 0.238398i | −0.739635 | − | 0.673008i | \(-0.765002\pi\) |
0.411509 | + | 0.911406i | \(0.365002\pi\) | |||||||
\(510\) | −9.18587e6 | + | 1.02675e7i | −1.56385 | + | 1.74800i | ||||
\(511\) | −2.53678e6 | − | 1.84308e6i | −0.429765 | − | 0.312243i | ||||
\(512\) | 4.05987e6 | − | 2.94967e6i | 0.684442 | − | 0.497276i | ||||
\(513\) | 7.08041e6 | − | 5.14422e6i | 1.18786 | − | 0.863031i | ||||
\(514\) | −9.89878e6 | − | 7.19188e6i | −1.65262 | − | 1.20070i | ||||
\(515\) | 5.92365e6 | − | 1.27885e6i | 0.984173 | − | 0.212472i | ||||
\(516\) | −8.64732e6 | + | 6.28264e6i | −1.42974 | + | 1.03877i | ||||
\(517\) | 400145. | − | 1.23152e6i | 0.0658402 | − | 0.202635i | ||||
\(518\) | 9.82105e6 | 1.60818 | ||||||||
\(519\) | 1.88149e6 | − | 5.79063e6i | 0.306608 | − | 0.943643i | ||||
\(520\) | 37091.5 | − | 8007.65i | 0.00601542 | − | 0.00129866i | ||||
\(521\) | −2.30815e6 | − | 7.10377e6i | −0.372538 | − | 1.14655i | −0.945125 | − | 0.326710i | \(-0.894060\pi\) |
0.572587 | − | 0.819844i | \(-0.305940\pi\) | |||||||
\(522\) | −77463.9 | − | 238409.i | −0.0124429 | − | 0.0382954i | ||||
\(523\) | −4.70027e6 | − | 3.41494e6i | −0.751395 | − | 0.545920i | 0.144864 | − | 0.989452i | \(-0.453726\pi\) |
−0.896259 | + | 0.443531i | \(0.853726\pi\) | |||||||
\(524\) | 3.89510e6 | 0.619713 | ||||||||
\(525\) | 412122. | + | 3.69446e6i | 0.0652571 | + | 0.584996i | ||||
\(526\) | 3.82106e6 | 0.602170 | ||||||||
\(527\) | −4.54525e6 | − | 3.30231e6i | −0.712904 | − | 0.517955i | ||||
\(528\) | 399948. | + | 1.23091e6i | 0.0624336 | + | 0.192151i | ||||
\(529\) | 4.93911e6 | + | 1.52010e7i | 0.767379 | + | 2.36175i | ||||
\(530\) | −4.60420e6 | − | 2.03237e6i | −0.711975 | − | 0.314277i | ||||
\(531\) | −197624. | + | 608224.i | −0.0304161 | + | 0.0936112i | ||||
\(532\) | −7.96726e6 | −1.22048 | ||||||||
\(533\) | −9756.74 | + | 30028.2i | −0.00148760 | + | 0.00457837i | ||||
\(534\) | −4.77161e6 | + | 3.46678e6i | −0.724122 | + | 0.526105i | ||||
\(535\) | 910348. | − | 8.93514e6i | 0.137506 | − | 1.34964i | ||||
\(536\) | −2.57485e6 | − | 1.87073e6i | −0.387114 | − | 0.281255i | ||||
\(537\) | 7.53942e6 | − | 5.47771e6i | 1.12824 | − | 0.819716i | ||||
\(538\) | −2.08436e6 | + | 1.51438e6i | −0.310468 | + | 0.225568i | ||||
\(539\) | −1.63522e6 | − | 1.18805e6i | −0.242439 | − | 0.176143i | ||||
\(540\) | 8.22416e6 | + | 3.63028e6i | 1.21369 | + | 0.535742i | ||||
\(541\) | −1.65276e6 | + | 1.20080e6i | −0.242782 | + | 0.176392i | −0.702522 | − | 0.711662i | \(-0.747943\pi\) |
0.459740 | + | 0.888054i | \(0.347943\pi\) | |||||||
\(542\) | −3.41753e6 | + | 1.05181e7i | −0.499706 | + | 1.53794i | ||||
\(543\) | 3.22859e6 | 0.469909 | ||||||||
\(544\) | −4.01912e6 | + | 1.23696e7i | −0.582283 | + | 1.79208i | ||||
\(545\) | −2.41146e6 | − | 4.14620e6i | −0.347767 | − | 0.597942i | ||||
\(546\) | −19506.1 | − | 60033.5i | −0.00280019 | − | 0.00861810i | ||||
\(547\) | −1.83952e6 | − | 5.66146e6i | −0.262867 | − | 0.809022i | −0.992177 | − | 0.124838i | \(-0.960159\pi\) |
0.729310 | − | 0.684183i | \(-0.239841\pi\) | |||||||
\(548\) | 1.34889e7 | + | 9.80028e6i | 1.91878 | + | 1.39408i | ||||
\(549\) | −465004. | −0.0658454 | ||||||||
\(550\) | −534402. | − | 4.79064e6i | −0.0753289 | − | 0.675285i | ||||
\(551\) | 3.06161e6 | 0.429606 | ||||||||
\(552\) | 7.00052e6 | + | 5.08617e6i | 0.977873 | + | 0.710466i | ||||
\(553\) | 956202. | + | 2.94289e6i | 0.132965 | + | 0.409224i | ||||
\(554\) | 2.68773e6 | + | 8.27199e6i | 0.372059 | + | 1.14508i | ||||
\(555\) | −9.33305e6 | + | 1.04321e7i | −1.28615 | + | 1.43760i | ||||
\(556\) | 464346. | − | 1.42911e6i | 0.0637023 | − | 0.196056i | ||||
\(557\) | 2.33752e6 | 0.319239 | 0.159620 | − | 0.987179i | \(-0.448973\pi\) | ||||
0.159620 | + | 0.987179i | \(0.448973\pi\) | |||||||
\(558\) | 200872. | − | 618221.i | 0.0273108 | − | 0.0840539i | ||||
\(559\) | 71707.3 | − | 52098.4i | 0.00970586 | − | 0.00705172i | ||||
\(560\) | 924917. | + | 1.59028e6i | 0.124633 | + | 0.214291i | ||||
\(561\) | −4.00494e6 | − | 2.90976e6i | −0.537266 | − | 0.390347i | ||||
\(562\) | 5.89039e6 | − | 4.27962e6i | 0.786690 | − | 0.571563i | ||||
\(563\) | −3.40067e6 | + | 2.47073e6i | −0.452162 | + | 0.328515i | −0.790449 | − | 0.612528i | \(-0.790153\pi\) |
0.338287 | + | 0.941043i | \(0.390153\pi\) | |||||||
\(564\) | 4.34592e6 | + | 3.15749e6i | 0.575286 | + | 0.417970i | ||||
\(565\) | −696540. | − | 1.19761e6i | −0.0917963 | − | 0.157832i | ||||
\(566\) | −1.57008e7 | + | 1.14073e7i | −2.06006 | + | 1.49672i | ||||
\(567\) | 1.44455e6 | − | 4.44585e6i | 0.188701 | − | 0.580761i | ||||
\(568\) | 534310. | 0.0694900 | ||||||||
\(569\) | −3.01896e6 | + | 9.29140e6i | −0.390910 | + | 1.20310i | 0.541192 | + | 0.840899i | \(0.317973\pi\) |
−0.932102 | + | 0.362197i | \(0.882027\pi\) | |||||||
\(570\) | 1.29805e7 | − | 1.45090e7i | 1.67341 | − | 1.87046i | ||||
\(571\) | 1.69560e6 | + | 5.21851e6i | 0.217637 | + | 0.669816i | 0.998956 | + | 0.0456850i | \(0.0145471\pi\) |
−0.781319 | + | 0.624131i | \(0.785453\pi\) | |||||||
\(572\) | 14753.6 | + | 45406.8i | 0.00188541 | + | 0.00580271i | ||||
\(573\) | 8.02041e6 | + | 5.82717e6i | 1.02049 | + | 0.741431i | ||||
\(574\) | 3.33401e6 | 0.422365 | ||||||||
\(575\) | 9.97078e6 | + | 1.09328e7i | 1.25765 | + | 1.37899i | ||||
\(576\) | −1.17610e6 | −0.147703 | ||||||||
\(577\) | 8.78731e6 | + | 6.38435e6i | 1.09879 | + | 0.798321i | 0.980863 | − | 0.194701i | \(-0.0623736\pi\) |
0.117932 | + | 0.993022i | \(0.462374\pi\) | |||||||
\(578\) | −4.21369e6 | − | 1.29684e7i | −0.524618 | − | 1.61461i | ||||
\(579\) | −3.60610e6 | − | 1.10984e7i | −0.447035 | − | 1.37583i | ||||
\(580\) | 1.58108e6 | + | 2.71847e6i | 0.195157 | + | 0.335549i | ||||
\(581\) | −213289. | + | 656436.i | −0.0262137 | + | 0.0806774i | ||||
\(582\) | −1.99686e7 | −2.44366 | ||||||||
\(583\) | 558831. | − | 1.71991e6i | 0.0680941 | − | 0.209572i | ||||
\(584\) | −3.89722e6 | + | 2.83149e6i | −0.472849 | + | 0.343545i | ||||
\(585\) | 7053.41 | + | 3113.49i | 0.000852137 | + | 0.000376147i | ||||
\(586\) | −5.81904e6 | − | 4.22778e6i | −0.700015 | − | 0.508591i | ||||
\(587\) | −3.00088e6 | + | 2.18027e6i | −0.359462 | + | 0.261165i | −0.752828 | − | 0.658217i | \(-0.771311\pi\) |
0.393365 | + | 0.919382i | \(0.371311\pi\) | |||||||
\(588\) | 6.78366e6 | − | 4.92861e6i | 0.809134 | − | 0.587870i | ||||
\(589\) | 6.42284e6 | + | 4.66647e6i | 0.762850 | + | 0.554243i | ||||
\(590\) | 1.39417e6 | − | 1.36839e7i | 0.164887 | − | 1.61838i | ||||
\(591\) | 1.08523e7 | − | 7.88466e6i | 1.27807 | − | 0.928569i | ||||
\(592\) | −2.14065e6 | + | 6.58823e6i | −0.251039 | + | 0.772618i | ||||
\(593\) | −1.03676e7 | −1.21071 | −0.605356 | − | 0.795955i | \(-0.706969\pi\) | ||||
−0.605356 | + | 0.795955i | \(0.706969\pi\) | |||||||
\(594\) | −1.71133e6 | + | 5.26693e6i | −0.199007 | + | 0.612479i | ||||
\(595\) | −6.43734e6 | − | 2.84155e6i | −0.745442 | − | 0.329051i | ||||
\(596\) | −6.11980e6 | − | 1.88348e7i | −0.705702 | − | 2.17193i | ||||
\(597\) | 5.14191e6 | + | 1.58252e7i | 0.590457 | + | 1.81724i | ||||
\(598\) | −203269. | − | 147684.i | −0.0232444 | − | 0.0168881i | ||||
\(599\) | 9.11283e6 | 1.03773 | 0.518867 | − | 0.854855i | \(-0.326354\pi\) | ||||
0.518867 | + | 0.854855i | \(0.326354\pi\) | |||||||
\(600\) | 5.59360e6 | + | 1.15175e6i | 0.634327 | + | 0.130611i | ||||
\(601\) | −1.09927e7 | −1.24142 | −0.620709 | − | 0.784041i | \(-0.713155\pi\) | ||||
−0.620709 | + | 0.784041i | \(0.713155\pi\) | |||||||
\(602\) | −7.57196e6 | − | 5.50135e6i | −0.851564 | − | 0.618697i | ||||
\(603\) | −199832. | − | 615019.i | −0.0223806 | − | 0.0688803i | ||||
\(604\) | −5.23543e6 | − | 1.61130e7i | −0.583929 | − | 1.79715i | ||||
\(605\) | −7.10721e6 | + | 1.53437e6i | −0.789424 | + | 0.170428i | ||||
\(606\) | −245116. | + | 754389.i | −0.0271138 | + | 0.0834476i | ||||
\(607\) | 7.79075e6 | 0.858238 | 0.429119 | − | 0.903248i | \(-0.358824\pi\) | ||||
0.429119 | + | 0.903248i | \(0.358824\pi\) | |||||||
\(608\) | 5.67938e6 | − | 1.74793e7i | 0.623078 | − | 1.91764i | ||||
\(609\) | 1.20869e6 | − | 878164.i | 0.132060 | − | 0.0959473i | ||||
\(610\) | 9.77595e6 | − | 2.11052e6i | 1.06374 | − | 0.229649i | ||||
\(611\) | −36038.2 | − | 26183.3i | −0.00390536 | − | 0.00283741i | ||||
\(612\) | 1.42383e6 | − | 1.03447e6i | 0.153666 | − | 0.111645i | ||||
\(613\) | −5.18275e6 | + | 3.76549e6i | −0.557069 | + | 0.404735i | −0.830385 | − | 0.557190i | \(-0.811880\pi\) |
0.273316 | + | 0.961924i | \(0.411880\pi\) | |||||||
\(614\) | −2.15876e7 | − | 1.56843e7i | −2.31091 | − | 1.67898i | ||||
\(615\) | −3.16835e6 | + | 3.54144e6i | −0.337789 | + | 0.377565i | ||||
\(616\) | 1.16482e6 | − | 846288.i | 0.123682 | − | 0.0898600i | ||||
\(617\) | −1.46084e6 | + | 4.49599e6i | −0.154486 | + | 0.475458i | −0.998108 | − | 0.0614782i | \(-0.980419\pi\) |
0.843623 | + | 0.536936i | \(0.180419\pi\) | |||||||
\(618\) | −1.54872e7 | −1.63118 | ||||||||
\(619\) | −778711. | + | 2.39663e6i | −0.0816864 | + | 0.251405i | −0.983556 | − | 0.180604i | \(-0.942195\pi\) |
0.901870 | + | 0.432008i | \(0.142195\pi\) | |||||||
\(620\) | −826571. | + | 8.11287e6i | −0.0863577 | + | 0.847608i | ||||
\(621\) | −5.25314e6 | − | 1.61675e7i | −0.546625 | − | 1.68234i | ||||
\(622\) | 1.63986e6 | + | 5.04698e6i | 0.169954 | + | 0.523065i | ||||
\(623\) | −2.43712e6 | − | 1.77067e6i | −0.251569 | − | 0.182775i | ||||
\(624\) | 44523.7 | 0.00457752 | ||||||||
\(625\) | 8.97124e6 | + | 3.85802e6i | 0.918655 | + | 0.395061i | ||||
\(626\) | 2.72733e7 | 2.78164 | ||||||||
\(627\) | 5.65935e6 | + | 4.11176e6i | 0.574907 | + | 0.417694i | ||||
\(628\) | 433701. | + | 1.33479e6i | 0.0438825 | + | 0.135056i | ||||
\(629\) | −8.18771e6 | − | 2.51992e7i | −0.825156 | − | 2.53957i | ||||
\(630\) | 82520.9 | − | 809949.i | 0.00828347 | − | 0.0813030i | ||||
\(631\) | 2.78418e6 | − | 8.56884e6i | 0.278371 | − | 0.856739i | −0.709936 | − | 0.704266i | \(-0.751276\pi\) |
0.988308 | − | 0.152473i | \(-0.0487237\pi\) | |||||||
\(632\) | 4.75377e6 | 0.473419 | ||||||||
\(633\) | −329095. | + | 1.01285e6i | −0.0326446 | + | 0.100470i | ||||
\(634\) | 3.17407e6 | − | 2.30610e6i | 0.313613 | − | 0.227853i | ||||
\(635\) | −4.30091e6 | + | 4.80735e6i | −0.423278 | + | 0.473121i | ||||
\(636\) | 6.06939e6 | + | 4.40967e6i | 0.594979 | + | 0.432278i | ||||
\(637\) | −56253.0 | + | 40870.2i | −0.00549285 | + | 0.00399079i | ||||
\(638\) | −1.56732e6 | + | 1.13872e6i | −0.152442 | + | 0.110756i | ||||
\(639\) | 87829.4 | + | 63811.8i | 0.00850918 | + | 0.00618228i | ||||
\(640\) | 1.15424e7 | − | 2.49188e6i | 1.11390 | − | 0.240479i | ||||
\(641\) | −1.18414e7 | + | 8.60327e6i | −1.13830 | + | 0.827025i | −0.986882 | − | 0.161445i | \(-0.948385\pi\) |
−0.151420 | + | 0.988470i | \(0.548385\pi\) | |||||||
\(642\) | −7.09280e6 | + | 2.18294e7i | −0.679172 | + | 2.09028i | ||||
\(643\) | 8.08896e6 | 0.771552 | 0.385776 | − | 0.922592i | \(-0.373934\pi\) | ||||
0.385776 | + | 0.922592i | \(0.373934\pi\) | |||||||
\(644\) | −4.78219e6 | + | 1.47181e7i | −0.454372 | + | 1.39841i | ||||
\(645\) | 1.30393e7 | − | 2.81505e6i | 1.23412 | − | 0.266432i | ||||
\(646\) | 1.13875e7 | + | 3.50472e7i | 1.07361 | + | 3.30424i | ||||
\(647\) | −672255. | − | 2.06899e6i | −0.0631355 | − | 0.194311i | 0.914513 | − | 0.404556i | \(-0.132574\pi\) |
−0.977649 | + | 0.210245i | \(0.932574\pi\) | |||||||
\(648\) | −5.81002e6 | − | 4.22123e6i | −0.543551 | − | 0.394913i | ||||
\(649\) | 4.94243e6 | 0.460605 | ||||||||
\(650\) | −162418. | − | 33442.7i | −0.0150782 | − | 0.00310469i | ||||
\(651\) | 3.87416e6 | 0.358282 | ||||||||
\(652\) | −5.39316e6 | − | 3.91836e6i | −0.496849 | − | 0.360982i | ||||
\(653\) | −5.02168e6 | − | 1.54552e7i | −0.460857 | − | 1.41837i | −0.864119 | − | 0.503288i | \(-0.832123\pi\) |
0.403261 | − | 0.915085i | \(-0.367877\pi\) | |||||||
\(654\) | 3.78787e6 | + | 1.16579e7i | 0.346299 | + | 1.06580i | ||||
\(655\) | −4.44720e6 | − | 1.96307e6i | −0.405026 | − | 0.178785i | ||||
\(656\) | −726699. | + | 2.23655e6i | −0.0659318 | + | 0.202917i | ||||
\(657\) | −978781. | −0.0884651 | ||||||||
\(658\) | −1.45356e6 | + | 4.47360e6i | −0.130879 | + | 0.402803i | ||||
\(659\) | 4.37194e6 | − | 3.17640e6i | 0.392158 | − | 0.284919i | −0.374181 | − | 0.927356i | \(-0.622076\pi\) |
0.766339 | + | 0.642436i | \(0.222076\pi\) | |||||||
\(660\) | −728315. | + | 7.14847e6i | −0.0650818 | + | 0.638783i | ||||
\(661\) | 5.04573e6 | + | 3.66594e6i | 0.449180 | + | 0.326348i | 0.789272 | − | 0.614044i | \(-0.210458\pi\) |
−0.340092 | + | 0.940392i | \(0.610458\pi\) | |||||||
\(662\) | 7.52536e6 | − | 5.46750e6i | 0.667394 | − | 0.484890i | ||||
\(663\) | −137774. | + | 100099.i | −0.0121726 | + | 0.00884391i | ||||
\(664\) | 857856. | + | 623269.i | 0.0755083 | + | 0.0548600i | ||||
\(665\) | 9.09654e6 | + | 4.01536e6i | 0.797668 | + | 0.352104i | ||||
\(666\) | 2.48014e6 | − | 1.80192e6i | 0.216665 | − | 0.157417i | ||||
\(667\) | 1.83767e6 | − | 5.65576e6i | 0.159938 | − | 0.492239i | ||||
\(668\) | −9.80016e6 | −0.849752 | ||||||||
\(669\) | −1.06871e6 | + | 3.28914e6i | −0.0923196 | + | 0.284130i | ||||
\(670\) | 6.99254e6 | + | 1.20228e7i | 0.601794 | + | 1.03471i | ||||
\(671\) | 1.11051e6 | + | 3.41779e6i | 0.0952171 | + | 0.293048i | ||||
\(672\) | −2.77146e6 | − | 8.52968e6i | −0.236748 | − | 0.728635i | ||||
\(673\) | 282984. | + | 205600.i | 0.0240838 | + | 0.0174979i | 0.599762 | − | 0.800178i | \(-0.295262\pi\) |
−0.575678 | + | 0.817676i | \(0.695262\pi\) | |||||||
\(674\) | −6.88648e6 | −0.583913 | ||||||||
\(675\) | −7.56026e6 | − | 8.28968e6i | −0.638671 | − | 0.700290i | ||||
\(676\) | −1.66293e7 | −1.39961 | ||||||||
\(677\) | 1.08802e7 | + | 7.90494e6i | 0.912359 | + | 0.662867i | 0.941610 | − | 0.336705i | \(-0.109312\pi\) |
−0.0292516 | + | 0.999572i | \(0.509312\pi\) | |||||||
\(678\) | 1.09411e6 | + | 3.36733e6i | 0.0914088 | + | 0.281327i | ||||
\(679\) | −3.15168e6 | − | 9.69989e6i | −0.262342 | − | 0.807406i | ||||
\(680\) | −7.20781e6 | + | 8.05656e6i | −0.597766 | + | 0.668155i | ||||
\(681\) | −1.84736e6 | + | 5.68558e6i | −0.152645 | + | 0.469794i | ||||
\(682\) | −5.02365e6 | −0.413579 | ||||||||
\(683\) | −2.69480e6 | + | 8.29374e6i | −0.221042 | + | 0.680297i | 0.777627 | + | 0.628726i | \(0.216423\pi\) |
−0.998669 | + | 0.0515718i | \(0.983577\pi\) | |||||||
\(684\) | −2.01199e6 | + | 1.46180e6i | −0.164432 | + | 0.119467i | ||||
\(685\) | −1.04617e7 | − | 1.79876e7i | −0.851873 | − | 1.46469i | ||||
\(686\) | 1.46344e7 | + | 1.06325e7i | 1.18731 | + | 0.862630i | ||||
\(687\) | −5.86704e6 | + | 4.26265e6i | −0.474272 | + | 0.344578i | ||||
\(688\) | 5.34089e6 | − | 3.88038e6i | 0.430172 | − | 0.312538i | ||||
\(689\) | −50330.0 | − | 36566.9i | −0.00403905 | − | 0.00293454i | ||||
\(690\) | −1.90114e7 | − | 3.26877e7i | −1.52017 | − | 2.61374i | ||||
\(691\) | −3.03487e6 | + | 2.20496e6i | −0.241794 | + | 0.175673i | −0.702082 | − | 0.712096i | \(-0.747746\pi\) |
0.460288 | + | 0.887769i | \(0.347746\pi\) | |||||||
\(692\) | 5.16946e6 | − | 1.59100e7i | 0.410374 | − | 1.26300i | ||||
\(693\) | 292542. | 0.0231396 | ||||||||
\(694\) | −3.25011e6 | + | 1.00028e7i | −0.256153 | + | 0.788359i | ||||
\(695\) | −1.25041e6 | + | 1.39765e6i | −0.0981953 | + | 0.109758i | ||||
\(696\) | −709268. | − | 2.18290e6i | −0.0554993 | − | 0.170809i | ||||
\(697\) | −2.77954e6 | − | 8.55453e6i | −0.216716 | − | 0.666982i | ||||
\(698\) | −1.12612e7 | − | 8.18173e6i | −0.874874 | − | 0.635633i | ||||
\(699\) | 4.29258e6 | 0.332296 | ||||||||
\(700\) | 1.13232e6 | + | 1.01507e7i | 0.0873421 | + | 0.782978i | ||||
\(701\) | −1.89622e7 | −1.45745 | −0.728725 | − | 0.684807i | \(-0.759887\pi\) | ||||
−0.728725 | + | 0.684807i | \(0.759887\pi\) | |||||||
\(702\) | 154127. | + | 111980.i | 0.0118042 | + | 0.00857626i | ||||
\(703\) | 1.15700e7 | + | 3.56087e7i | 0.882966 | + | 2.71749i | ||||
\(704\) | 2.80873e6 | + | 8.64439e6i | 0.213589 | + | 0.657359i | ||||
\(705\) | −3.37059e6 | − | 5.79531e6i | −0.255407 | − | 0.439141i | ||||
\(706\) | 2.11488e6 | − | 6.50893e6i | 0.159689 | − | 0.491471i | ||||
\(707\) | −405136. | −0.0304827 | ||||||||
\(708\) | −6.33594e6 | + | 1.95000e7i | −0.475038 | + | 1.46202i | ||||
\(709\) | −5.67381e6 | + | 4.12226e6i | −0.423896 | + | 0.307978i | −0.779203 | − | 0.626771i | \(-0.784376\pi\) |
0.355308 | + | 0.934749i | \(0.384376\pi\) | |||||||
\(710\) | −2.13609e6 | − | 942907.i | −0.159028 | − | 0.0701977i | ||||
\(711\) | 781421. | + | 567735.i | 0.0579710 | + | 0.0421184i | ||||
\(712\) | −3.74410e6 | + | 2.72025e6i | −0.276788 | + | 0.201099i | ||||
\(713\) | 1.24756e7 | − | 9.06408e6i | 0.919049 | − | 0.667728i | ||||
\(714\) | 1.45483e7 | + | 1.05700e7i | 1.06799 | + | 0.775939i | ||||
\(715\) | 6039.51 | − | 59278.3i | 0.000441811 | − | 0.00433641i | ||||
\(716\) | 2.07148e7 | − | 1.50502e7i | 1.51007 | − | 1.09713i | ||||
\(717\) | 3.41665e6 | − | 1.05154e7i | 0.248201 | − | 0.763883i | ||||
\(718\) | 3.12658e7 | 2.26339 | ||||||||
\(719\) | 5.56869e6 | − | 1.71387e7i | 0.401727 | − | 1.23639i | −0.521871 | − | 0.853025i | \(-0.674766\pi\) |
0.923598 | − | 0.383363i | \(-0.125234\pi\) | |||||||
\(720\) | 525350. | + | 231898.i | 0.0377674 | + | 0.0166712i | ||||
\(721\) | −2.44437e6 | − | 7.52301e6i | −0.175117 | − | 0.538956i | ||||
\(722\) | −9.38644e6 | − | 2.88885e7i | −0.670128 | − | 2.06244i | ||||
\(723\) | 7.55116e6 | + | 5.48624e6i | 0.537239 | + | 0.390327i | ||||
\(724\) | 8.87067e6 | 0.628941 | ||||||||
\(725\) | −435120. | − | 3.90063e6i | −0.0307443 | − | 0.275607i | ||||
\(726\) | 1.85816e7 | 1.30840 | ||||||||
\(727\) | 2.96472e6 | + | 2.15400e6i | 0.208040 | + | 0.151150i | 0.686927 | − | 0.726727i | \(-0.258959\pi\) |
−0.478886 | + | 0.877877i | \(0.658959\pi\) | |||||||
\(728\) | −15305.7 | − | 47106.0i | −0.00107035 | − | 0.00329419i | ||||
\(729\) | 3.94419e6 | + | 1.21390e7i | 0.274877 | + | 0.845985i | ||||
\(730\) | 2.05773e7 | − | 4.44241e6i | 1.42916 | − | 0.308540i | ||||
\(731\) | −7.80290e6 | + | 2.40148e7i | −0.540085 | + | 1.66221i | ||||
\(732\) | −1.49083e7 | −1.02837 | ||||||||
\(733\) | 1.78387e6 | − | 5.49018e6i | 0.122632 | − | 0.377421i | −0.870831 | − | 0.491583i | \(-0.836418\pi\) |
0.993462 | + | 0.114162i | \(0.0364183\pi\) | |||||||
\(734\) | 2.20609e7 | − | 1.60282e7i | 1.51142 | − | 1.09811i | ||||
\(735\) | −1.02291e7 | + | 2.20835e6i | −0.698425 | + | 0.150782i | ||||
\(736\) | −2.88810e7 | − | 2.09833e7i | −1.96525 | − | 1.42784i | ||||
\(737\) | −4.04317e6 | + | 2.93754e6i | −0.274191 | + | 0.199212i | ||||
\(738\) | 841948. | − | 611711.i | 0.0569042 | − | 0.0413433i | ||||
\(739\) | −5.61780e6 | − | 4.08157e6i | −0.378404 | − | 0.274926i | 0.382283 | − | 0.924045i | \(-0.375138\pi\) |
−0.760687 | + | 0.649119i | \(0.775138\pi\) | |||||||
\(740\) | −2.56429e7 | + | 2.86624e7i | −1.72142 | + | 1.92413i | ||||
\(741\) | 194687. | − | 141448.i | 0.0130254 | − | 0.00946352i | ||||
\(742\) | −2.03000e6 | + | 6.24771e6i | −0.135359 | + | 0.416592i | ||||
\(743\) | 2.60319e6 | 0.172995 | 0.0864976 | − | 0.996252i | \(-0.472433\pi\) | ||||
0.0864976 | + | 0.996252i | \(0.472433\pi\) | |||||||
\(744\) | 1.83921e6 | − | 5.66050e6i | 0.121814 | − | 0.374906i | ||||
\(745\) | −2.50520e6 | + | 2.45887e7i | −0.165368 | + | 1.62310i | ||||
\(746\) | −1.24043e6 | − | 3.81766e6i | −0.0816068 | − | 0.251160i | ||||
\(747\) | 66577.6 | + | 204905.i | 0.00436543 | + | 0.0134354i | ||||
\(748\) | −1.10037e7 | − | 7.99467e6i | −0.719094 | − | 0.522452i | ||||
\(749\) | −1.17232e7 | −0.763559 | ||||||||
\(750\) | −2.03299e7 | − | 1.44757e7i | −1.31972 | − | 0.939692i | ||||
\(751\) | −1.31638e7 | −0.851689 | −0.425844 | − | 0.904796i | \(-0.640023\pi\) | ||||
−0.425844 | + | 0.904796i | \(0.640023\pi\) | |||||||
\(752\) | −2.68419e6 | − | 1.95018e6i | −0.173089 | − | 0.125756i | ||||
\(753\) | −562889. | − | 1.73240e6i | −0.0361773 | − | 0.111342i | ||||
\(754\) | 20594.6 | + | 63383.6i | 0.00131924 | + | 0.00406021i | ||||
\(755\) | −2.14317e6 | + | 2.10354e7i | −0.136833 | + | 1.34302i | ||||
\(756\) | 3.62605e6 | − | 1.11598e7i | 0.230744 | − | 0.710156i | ||||
\(757\) | −7.75617e6 | −0.491935 | −0.245968 | − | 0.969278i | \(-0.579106\pi\) | ||||
−0.245968 | + | 0.969278i | \(0.579106\pi\) | |||||||
\(758\) | −7.04139e6 | + | 2.16712e7i | −0.445129 | + | 1.36996i | ||||
\(759\) | 1.09926e7 | − | 7.98661e6i | 0.692623 | − | 0.503220i | ||||
\(760\) | 1.01853e7 | − | 1.13846e7i | 0.639645 | − | 0.714966i | ||||
\(761\) | 6.64475e6 | + | 4.82769e6i | 0.415927 | + | 0.302189i | 0.775997 | − | 0.630737i | \(-0.217247\pi\) |
−0.360070 | + | 0.932925i | \(0.617247\pi\) | |||||||
\(762\) | 1.33364e7 | − | 9.68949e6i | 0.832056 | − | 0.604524i | ||||
\(763\) | −5.06504e6 | + | 3.67997e6i | −0.314972 | + | 0.228840i | ||||
\(764\) | 2.20363e7 | + | 1.60103e7i | 1.36586 | + | 0.992355i | ||||
\(765\) | −2.14699e6 | + | 463512.i | −0.132641 | + | 0.0286357i | ||||
\(766\) | 2.29313e7 | − | 1.66606e7i | 1.41207 | − | 1.02593i | ||||
\(767\) | 52540.4 | − | 161703.i | 0.00322482 | − | 0.00992496i | ||||
\(768\) | −3.23932e6 | −0.198176 | ||||||||
\(769\) | 5.90256e6 | − | 1.81662e7i | 0.359935 | − | 1.10777i | −0.593157 | − | 0.805087i | \(-0.702119\pi\) |
0.953092 | − | 0.302680i | \(-0.0978813\pi\) | |||||||
\(770\) | −6.15022e6 | + | 1.32776e6i | −0.373821 | + | 0.0807039i | ||||
\(771\) | −7.03406e6 | − | 2.16486e7i | −0.426158 | − | 1.31158i | ||||
\(772\) | −9.90789e6 | − | 3.04934e7i | −0.598326 | − | 1.84146i | ||||
\(773\) | −2.54835e7 | − | 1.85149e7i | −1.53395 | − | 1.11448i | −0.953992 | − | 0.299832i | \(-0.903069\pi\) |
−0.579957 | − | 0.814647i | \(-0.696931\pi\) | |||||||
\(774\) | −2.92153e6 | −0.175291 | ||||||||
\(775\) | 5.03248e6 | − | 8.84621e6i | 0.300973 | − | 0.529057i | ||||
\(776\) | −1.56686e7 | −0.934065 | ||||||||
\(777\) | 1.47814e7 | + | 1.07393e7i | 0.878341 | + | 0.638152i | ||||
\(778\) | 1.19977e7 | + | 3.69252e7i | 0.710641 | + | 2.18713i | ||||
\(779\) | 3.92774e6 | + | 1.20883e7i | 0.231899 | + | 0.713711i | ||||
\(780\) | 226136. | + | 99820.2i | 0.0133086 | + | 0.00587465i | ||||
\(781\) | 259267. | − | 797942.i | 0.0152097 | − | 0.0468105i | ||||
\(782\) | 7.15784e7 | 4.18567 | ||||||||
\(783\) | −1.39340e6 | + | 4.28843e6i | −0.0812213 | + | 0.249973i | ||||
\(784\) | −4.18982e6 | + | 3.04408e6i | −0.243448 | + | 0.176875i | ||||
\(785\) | 177540. | − | 1.74257e6i | 0.0102830 | − | 0.100929i | ||||
\(786\) | 1.00506e7 | + | 7.30219e6i | 0.580277 | + | 0.421596i | ||||
\(787\) | −2.14874e7 | + | 1.56115e7i | −1.23665 | + | 0.898480i | −0.997371 | − | 0.0724701i | \(-0.976912\pi\) |
−0.239281 | + | 0.970950i | \(0.576912\pi\) | |||||||
\(788\) | 2.98171e7 | − | 2.16634e7i | 1.71060 | − | 1.24283i | ||||
\(789\) | 5.75097e6 | + | 4.17833e6i | 0.328889 | + | 0.238952i | ||||
\(790\) | −1.90049e7 | − | 8.38908e6i | −1.08342 | − | 0.478241i | ||||
\(791\) | −1.46302e6 | + | 1.06294e6i | −0.0831397 | + | 0.0604045i | ||||
\(792\) | 138881. | − | 427431.i | 0.00786736 | − | 0.0242132i | ||||
\(793\) | 123626. | 0.00698115 | ||||||||
\(794\) | −6.57536e6 | + | 2.02369e7i | −0.370142 | + | 1.13918i | ||||
\(795\) | −4.70726e6 | − | 8.09356e6i | −0.264150 | − | 0.454173i | ||||
\(796\) | 1.41276e7 | + | 4.34802e7i | 0.790287 | + | 2.43225i | ||||
\(797\) | 4.46747e6 | + | 1.37495e7i | 0.249124 | + | 0.766726i | 0.994931 | + | 0.100563i | \(0.0320644\pi\) |
−0.745806 | + | 0.666163i | \(0.767936\pi\) | |||||||
\(798\) | −2.05581e7 | − | 1.49363e7i | −1.14281 | − | 0.830301i | ||||
\(799\) | 1.26903e7 | 0.703245 | ||||||||
\(800\) | −2.30767e7 | − | 4.75161e6i | −1.27482 | − | 0.262492i | ||||
\(801\) | −940327. | −0.0517842 | ||||||||
\(802\) | −4.28175e7 | − | 3.11088e7i | −2.35064 | − | 1.70784i | ||||
\(803\) | 2.33749e6 | + | 7.19407e6i | 0.127927 | + | 0.393718i | ||||
\(804\) | −6.40672e6 | − | 1.97179e7i | −0.349539 | − | 1.07577i | ||||
\(805\) | 1.28777e7 | − | 1.43941e7i | 0.700402 | − | 0.782877i | ||||
\(806\) | −53403.9 | + | 164360.i | −0.00289558 | + | 0.00891167i | ||||
\(807\) | −4.79309e6 | −0.259079 | ||||||||
\(808\) | −192333. | + | 591941.i | −0.0103640 | + | 0.0318970i | ||||
\(809\) | −1.13047e7 | + | 8.21333e6i | −0.607277 | + | 0.441213i | −0.848455 | − | 0.529268i | \(-0.822466\pi\) |
0.241177 | + | 0.970481i | \(0.422466\pi\) | |||||||
\(810\) | 1.57783e7 | + | 2.71289e7i | 0.844985 | + | 1.45285i | ||||
\(811\) | −5.16583e6 | − | 3.75320e6i | −0.275796 | − | 0.200378i | 0.441286 | − | 0.897367i | \(-0.354523\pi\) |
−0.717082 | + | 0.696989i | \(0.754523\pi\) | |||||||
\(812\) | 3.32091e6 | − | 2.41279e6i | 0.176753 | − | 0.128419i | ||||
\(813\) | −1.66452e7 | + | 1.20934e7i | −0.883206 | + | 0.641687i | ||||
\(814\) | −1.91672e7 | − | 1.39258e7i | −1.01390 | − | 0.736645i | ||||
\(815\) | 4.18280e6 | + | 7.19181e6i | 0.220584 | + | 0.379266i | ||||
\(816\) | −1.02616e7 | + | 7.45552e6i | −0.539500 | + | 0.391970i | ||||
\(817\) | 1.10262e7 | − | 3.39351e7i | 0.577924 | − | 1.77867i | ||||
\(818\) | −1.50618e7 | −0.787032 | ||||||||
\(819\) | 3109.86 | − | 9571.17i | 0.000162006 | − | 0.000498604i | ||||
\(820\) | −8.70515e6 | + | 9.73021e6i | −0.452107 | + | 0.505345i | ||||
\(821\) | 6.55835e6 | + | 2.01845e7i | 0.339576 | + | 1.04511i | 0.964424 | + | 0.264361i | \(0.0851609\pi\) |
−0.624848 | + | 0.780746i | \(0.714839\pi\) | |||||||
\(822\) | 1.64330e7 | + | 5.05756e7i | 0.848277 | + | 2.61073i | ||||
\(823\) | −5.74050e6 | − | 4.17072e6i | −0.295427 | − | 0.214640i | 0.430191 | − | 0.902738i | \(-0.358446\pi\) |
−0.725618 | + | 0.688098i | \(0.758446\pi\) | |||||||
\(824\) | −1.21522e7 | −0.623503 | ||||||||
\(825\) | 4.43426e6 | − | 7.79464e6i | 0.226822 | − | 0.398714i | ||||
\(826\) | −1.79538e7 | −0.915600 | ||||||||
\(827\) | 637672. | + | 463296.i | 0.0324215 | + | 0.0235556i | 0.603878 | − | 0.797077i | \(-0.293621\pi\) |
−0.571456 | + | 0.820632i | \(0.693621\pi\) | |||||||
\(828\) | 1.49275e6 | + | 4.59421e6i | 0.0756677 | + | 0.232881i | ||||
\(829\) | 31642.2 | + | 97384.6i | 0.00159912 | + | 0.00492157i | 0.951853 | − | 0.306555i | \(-0.0991764\pi\) |
−0.950254 | + | 0.311477i | \(0.899176\pi\) | |||||||
\(830\) | −2.32969e6 | − | 4.00562e6i | −0.117382 | − | 0.201825i | ||||
\(831\) | −5.00019e6 | + | 1.53890e7i | −0.251179 | + | 0.773050i | ||||
\(832\) | 312679. | 0.0156600 | ||||||||
\(833\) | 6.12122e6 | − | 1.88392e7i | 0.305651 | − | 0.940697i | ||||
\(834\) | 3.87733e6 | − | 2.81704e6i | 0.193027 | − | 0.140242i | ||||
\(835\) | 1.11892e7 | + | 4.93911e6i | 0.555372 | + | 0.245151i | ||||
\(836\) | 1.55492e7 | + | 1.12972e7i | 0.769473 | + | 0.559055i | ||||
\(837\) | −9.45954e6 | + | 6.87276e6i | −0.466720 | + | 0.339092i | ||||
\(838\) | 4.44705e6 | − | 3.23097e6i | 0.218757 | − | 0.158936i | ||||
\(839\) | 6.24684e6 | + | 4.53860e6i | 0.306377 | + | 0.222596i | 0.730340 | − | 0.683084i | \(-0.239362\pi\) |
−0.423964 | + | 0.905679i | \(0.639362\pi\) | |||||||
\(840\) | 755571. | − | 7.41599e6i | 0.0369468 | − | 0.362636i | ||||
\(841\) | 1.53177e7 | − | 1.11290e7i | 0.746800 | − | 0.542582i | ||||
\(842\) | −1.10796e7 | + | 3.40994e7i | −0.538571 | + | 1.65755i | ||||
\(843\) | 1.35452e7 | 0.656474 | ||||||||
\(844\) | −904199. | + | 2.78284e6i | −0.0436926 | + | 0.134472i | ||||
\(845\) | 1.89864e7 | + | 8.38091e6i | 0.914746 | + | 0.403784i | ||||
\(846\) | 453726. | + | 1.39642e6i | 0.0217955 | + | 0.0670797i | ||||
\(847\) | 2.93276e6 | + | 9.02612e6i | 0.140465 | + | 0.432307i | ||||
\(848\) | −3.74866e6 | − | 2.72356e6i | −0.179014 | − | 0.130061i | ||||
\(849\) | −3.61048e7 | −1.71908 | ||||||||
\(850\) | 4.30333e7 | − | 1.94892e7i | 2.04295 | − | 0.925223i | ||||
\(851\) | 7.27253e7 | 3.44240 | ||||||||
\(852\) | 2.81586e6 | + | 2.04584e6i | 0.132896 | + | 0.0965546i | ||||
\(853\) | −5.79516e6 | − | 1.78357e7i | −0.272705 | − | 0.839299i | −0.989818 | − | 0.142342i | \(-0.954537\pi\) |
0.717113 | − | 0.696957i | \(-0.245463\pi\) | |||||||
\(854\) | −4.03401e6 | − | 1.24154e7i | −0.189275 | − | 0.582527i | ||||
\(855\) | 3.03390e6 | − | 654984.i | 0.141934 | − | 0.0306419i | ||||
\(856\) | −5.56546e6 | + | 1.71287e7i | −0.259607 | + | 0.798988i | ||||
\(857\) | −1.66793e7 | −0.775756 | −0.387878 | − | 0.921711i | \(-0.626792\pi\) | ||||
−0.387878 | + | 0.921711i | \(0.626792\pi\) | |||||||
\(858\) | −47055.7 | + | 144822.i | −0.00218220 | + | 0.00671611i | ||||
\(859\) | 1.14767e7 | − | 8.33828e6i | 0.530680 | − | 0.385562i | −0.289932 | − | 0.957047i | \(-0.593633\pi\) |
0.820612 | + | 0.571486i | \(0.193633\pi\) | |||||||
\(860\) | 3.58260e7 | − | 7.73444e6i | 1.65178 | − | 0.356601i | ||||
\(861\) | 5.01794e6 | + | 3.64574e6i | 0.230684 | + | 0.167602i | ||||
\(862\) | −2.73638e7 | + | 1.98810e7i | −1.25432 | + | 0.911317i | ||||
\(863\) | 1.50937e6 | − | 1.09662e6i | 0.0689870 | − | 0.0501220i | −0.552757 | − | 0.833342i | \(-0.686424\pi\) |
0.621744 | + | 0.783220i | \(0.286424\pi\) | |||||||
\(864\) | 2.18987e7 | + | 1.59104e7i | 0.998010 | + | 0.725097i | ||||
\(865\) | −1.39205e7 | + | 1.55597e7i | −0.632580 | + | 0.707068i | ||||
\(866\) | −5.55830e6 | + | 4.03834e6i | −0.251853 | + | 0.182982i | ||||
\(867\) | 7.83904e6 | − | 2.41261e7i | 0.354173 | − | 1.09003i | ||||
\(868\) | 1.06444e7 | 0.479536 | ||||||||
\(869\) | 2.30671e6 | − | 7.09931e6i | 0.103620 | − | 0.318909i | ||||
\(870\) | −1.01666e6 | + | 9.97859e6i | −0.0455383 | + | 0.446963i | ||||
\(871\) | 53127.3 | + | 163509.i | 0.00237286 | + | 0.00730292i | ||||
\(872\) | 2.97220e6 | + | 9.14750e6i | 0.132369 | + | 0.407391i | ||||
\(873\) | −2.57560e6 | − | 1.87128e6i | −0.114378 | − | 0.0831004i | ||||
\(874\) | −1.01147e8 | −4.47892 | ||||||||
\(875\) | 3.82295e6 | − | 1.21601e7i | 0.168802 | − | 0.536929i | ||||
\(876\) | −3.13803e7 | −1.38165 | ||||||||
\(877\) | 7.36358e6 | + | 5.34996e6i | 0.323288 | + | 0.234883i | 0.737577 | − | 0.675263i | \(-0.235970\pi\) |
−0.414289 | + | 0.910145i | \(0.635970\pi\) | |||||||
\(878\) | −3.08696e6 | − | 9.50068e6i | −0.135143 | − | 0.415928i | ||||
\(879\) | −4.13501e6 | − | 1.27262e7i | −0.180511 | − | 0.555556i | ||||
\(880\) | 449833. | − | 4.41515e6i | 0.0195814 | − | 0.192193i | ||||
\(881\) | 7.99908e6 | − | 2.46186e7i | 0.347216 | − | 1.06862i | −0.613170 | − | 0.789951i | \(-0.710106\pi\) |
0.960387 | − | 0.278671i | \(-0.0898939\pi\) | |||||||
\(882\) | 2.29189e6 | 0.0992023 | ||||||||
\(883\) | 4.61780e6 | − | 1.42121e7i | 0.199312 | − | 0.613419i | −0.800587 | − | 0.599216i | \(-0.795479\pi\) |
0.999899 | − | 0.0142025i | \(-0.00452096\pi\) | |||||||
\(884\) | −378539. | + | 275024.i | −0.0162922 | + | 0.0118370i | ||||
\(885\) | 1.70617e7 | − | 1.90708e7i | 0.732257 | − | 0.818483i | ||||
\(886\) | −4.30844e7 | − | 3.13027e7i | −1.84389 | − | 1.33967i | ||||
\(887\) | −3.47915e6 | + | 2.52775e6i | −0.148479 | + | 0.107876i | −0.659545 | − | 0.751665i | \(-0.729251\pi\) |
0.511066 | + | 0.859542i | \(0.329251\pi\) | |||||||
\(888\) | 2.27084e7 | − | 1.64986e7i | 0.966394 | − | 0.702126i | ||||
\(889\) | 6.81165e6 | + | 4.94895e6i | 0.289066 | + | 0.210019i | ||||
\(890\) | 1.97689e7 | − | 4.26788e6i | 0.836578 | − | 0.180608i | ||||
\(891\) | −9.12324e6 | + | 6.62842e6i | −0.384995 | + | 0.279715i | ||||
\(892\) | −2.93631e6 | + | 9.03703e6i | −0.123563 | + | 0.380289i | ||||
\(893\) | −1.79326e7 | −0.752514 | ||||||||
\(894\) | 1.95188e7 | − | 6.00726e7i | 0.816786 | − | 2.51381i | ||||
\(895\) | −3.12360e7 | + | 6.74350e6i | −1.30346 | + | 0.281402i | ||||
\(896\) | −4.76294e6 | − | 1.46588e7i | −0.198201 | − | 0.609999i | ||||
\(897\) | −144443. | − | 444550.i | −0.00599399 | − | 0.0184476i | ||||
\(898\) | 1.06675e7 | + | 7.75039e6i | 0.441440 | + | 0.320725i | ||||
\(899\) | −4.09035e6 | −0.168796 | ||||||||
\(900\) | 2.14835e6 | + | 2.35562e6i | 0.0884094 | + | 0.0969392i | ||||
\(901\) | 1.77230e7 | 0.727319 | ||||||||
\(902\) | −6.50680e6 | − | 4.72747e6i | −0.266288 | − | 0.193469i | ||||
\(903\) | −5.38063e6 | − | 1.65599e7i | −0.219591 | − | 0.675831i | ||||
\(904\) | 858510. | + | 2.64222e6i | 0.0349401 | + | 0.107535i | ||||
\(905\) | −1.01280e7 | − | 4.47067e6i | −0.411057 | − | 0.181447i | ||||
\(906\) | 1.66981e7 | − | 5.13915e7i | 0.675845 | − | 2.08004i | ||||
\(907\) | −2.52505e7 | −1.01918 | −0.509592 | − | 0.860416i | \(-0.670204\pi\) | ||||
−0.509592 | + | 0.860416i | \(0.670204\pi\) | |||||||
\(908\) | −5.07568e6 | + | 1.56213e7i | −0.204305 | + | 0.628787i | ||||
\(909\) | −102310. | + | 74332.7i | −0.00410685 | + | 0.00298380i | ||||
\(910\) | −21939.0 | + | 215333.i | −0.000878241 | + | 0.00862001i | ||||
\(911\) | −3.78038e6 | − | 2.74661e6i | −0.150917 | − | 0.109648i | 0.509764 | − | 0.860314i | \(-0.329733\pi\) |
−0.660682 | + | 0.750666i | \(0.729733\pi\) | |||||||
\(912\) | 1.45006e7 | − | 1.05353e7i | 0.577297 | − | 0.419431i | ||||
\(913\) | 1.34706e6 | − | 978694.i | 0.0534822 | − | 0.0388571i | ||||
\(914\) | 3.13377e7 | + | 2.27682e7i | 1.24080 | + | 0.901493i | ||||
\(915\) | 1.70214e7 | + | 7.51352e6i | 0.672113 | + | 0.296682i | ||||
\(916\) | −1.61199e7 | + | 1.17118e7i | −0.634780 | + | 0.461195i | ||||
\(917\) | −1.96078e6 | + | 6.03466e6i | −0.0770026 | + | 0.236990i | ||||
\(918\) | −5.42737e7 | −2.12561 | ||||||||
\(919\) | −8.09872e6 | + | 2.49253e7i | −0.316321 | + | 0.973535i | 0.658887 | + | 0.752242i | \(0.271028\pi\) |
−0.975207 | + | 0.221293i | \(0.928972\pi\) | |||||||
\(920\) | −1.49175e7 | − | 2.56489e7i | −0.581069 | − | 0.999076i | ||||
\(921\) | −1.53401e7 | − | 4.72121e7i | −0.595909 | − | 1.83402i | ||||
\(922\) | 2.00726e7 | + | 6.17772e7i | 0.777637 | + | 2.39332i | ||||
\(923\) | −23350.3 | − | 16965.0i | −0.000902171 | − | 0.000655466i | ||||
\(924\) | 9.37906e6 | 0.361393 | ||||||||
\(925\) | 4.37228e7 | − | 1.98015e7i | 1.68017 | − | 0.760927i | ||||
\(926\) | −4.45599e7 | −1.70772 | ||||||||
\(927\) | −1.99757e6 | − | 1.45132e6i | −0.0763490 | − | 0.0554708i | ||||
\(928\) | 2.92612e6 | + | 9.00567e6i | 0.111538 | + | 0.343278i | ||||
\(929\) | 1.06534e7 | + | 3.27879e7i | 0.404995 | + | 1.24645i | 0.920899 | + | 0.389801i | \(0.127456\pi\) |
−0.515904 | + | 0.856646i | \(0.672544\pi\) | |||||||
\(930\) | −1.73421e7 | + | 1.93842e7i | −0.657497 | + | 0.734920i | ||||
\(931\) | −8.64984e6 | + | 2.66215e7i | −0.327065 | + | 1.00660i | ||||
\(932\) | 1.17940e7 | 0.444756 | ||||||||
\(933\) | −3.05076e6 | + | 9.38927e6i | −0.114737 | + | 0.353124i | ||||
\(934\) | 1.28074e7 | − | 9.30515e6i | 0.480391 | − | 0.349025i | ||||
\(935\) | 8.53421e6 | + | 1.46735e7i | 0.319253 | + | 0.548915i | ||||
\(936\) | −12508.0 | − | 9087.59i | −0.000466657 | − | 0.000339046i | ||||
\(937\) | 3.36789e7 | − | 2.44691e7i | 1.25317 | − | 0.910479i | 0.254765 | − | 0.967003i | \(-0.418002\pi\) |
0.998401 | + | 0.0565240i | \(0.0180017\pi\) | |||||||
\(938\) | 1.46872e7 | − | 1.06709e7i | 0.545043 | − | 0.395997i | ||||
\(939\) | 4.10483e7 | + | 2.98233e7i | 1.51926 | + | 1.10380i | ||||
\(940\) | −9.26080e6 | − | 1.59228e7i | −0.341845 | − | 0.587760i | ||||
\(941\) | −2.17643e7 | + | 1.58127e7i | −0.801254 | + | 0.582145i | −0.911282 | − | 0.411783i | \(-0.864906\pi\) |
0.110028 | + | 0.993929i | \(0.464906\pi\) | |||||||
\(942\) | −1.38327e6 | + | 4.25726e6i | −0.0507900 | + | 0.156316i | ||||
\(943\) | 2.46885e7 | 0.904099 | ||||||||
\(944\) | 3.91330e6 | − | 1.20439e7i | 0.142927 | − | 0.439883i | ||||
\(945\) | −9.76438e6 | + | 1.09142e7i | −0.355685 | + | 0.397568i | ||||
\(946\) | 6.97711e6 | + | 2.14733e7i | 0.253482 | + | 0.780139i | ||||
\(947\) | 8.31847e6 | + | 2.56016e7i | 0.301417 | + | 0.927668i | 0.980990 | + | 0.194059i | \(0.0621653\pi\) |
−0.679572 | + | 0.733608i | \(0.737835\pi\) | |||||||
\(948\) | 2.50528e7 | + | 1.82019e7i | 0.905389 | + | 0.657804i | ||||
\(949\) | 260219. | 0.00937936 | ||||||||
\(950\) | −6.08100e7 | + | 2.75400e7i | −2.18608 | + | 0.990044i | ||||
\(951\) | 7.29893e6 | 0.261702 | ||||||||
\(952\) | 1.14155e7 | + | 8.29385e6i | 0.408228 | + | 0.296595i | ||||
\(953\) | 6.59128e6 | + | 2.02859e7i | 0.235092 | + | 0.723539i | 0.997109 | + | 0.0759818i | \(0.0242091\pi\) |
−0.762017 | + | 0.647557i | \(0.775791\pi\) | |||||||
\(954\) | 633660. | + | 1.95021e6i | 0.0225416 | + | 0.0693760i | ||||
\(955\) | −1.70908e7 | − | 2.93856e7i | −0.606394 | − | 1.04262i | ||||
\(956\) | 9.38737e6 | − | 2.88913e7i | 0.332200 | − | 1.02240i | ||||
\(957\) | −3.60412e6 | −0.127210 | ||||||||
\(958\) | 8.34099e6 | − | 2.56709e7i | 0.293632 | − | 0.903707i | ||||
\(959\) | −2.19738e7 | + | 1.59649e7i | −0.771540 | + | 0.560556i | ||||
\(960\) | 4.30511e7 | + | 1.90035e7i | 1.50767 | + | 0.665510i | ||||
\(961\) | 1.45805e7 | + | 1.05933e7i | 0.509287 | + | 0.370019i | ||||
\(962\) | −659369. | + | 479060.i | −0.0229716 | + | 0.0166898i | ||||
\(963\) | −2.96050e6 | + | 2.15093e6i | −0.102872 | + | 0.0747412i | ||||
\(964\) | 2.07471e7 | + | 1.50736e7i | 0.719058 | + | 0.522426i | ||||
\(965\) | −4.05589e6 | + | 3.98089e7i | −0.140206 | + | 1.37614i | ||||
\(966\) | −3.99316e7 | + | 2.90120e7i | −1.37681 | + | 1.00031i | ||||
\(967\) | 1.14551e7 | − | 3.52552e7i | 0.393943 | − | 1.21243i | −0.535839 | − | 0.844320i | \(-0.680005\pi\) |
0.929782 | − | 0.368111i | \(-0.119995\pi\) | |||||||
\(968\) | 1.45803e7 | 0.500124 | ||||||||
\(969\) | −2.11850e7 | + | 6.52008e7i | −0.724803 | + | 2.23071i | ||||
\(970\) | 6.26410e7 | + | 2.76508e7i | 2.13761 | + | 0.943578i | ||||
\(971\) | −1.43831e7 | − | 4.42665e7i | −0.489557 | − | 1.50670i | −0.825271 | − | 0.564737i | \(-0.808977\pi\) |
0.335714 | − | 0.941964i | \(-0.391023\pi\) | |||||||
\(972\) | −2.38079e6 | − | 7.32732e6i | −0.0808268 | − | 0.248759i | ||||
\(973\) | 1.98036e6 | + | 1.43882e6i | 0.0670598 | + | 0.0487218i | ||||
\(974\) | 2.21692e7 | 0.748776 | ||||||||
\(975\) | −207881. | − | 227938.i | −0.00700331 | − | 0.00767899i | ||||
\(976\) | 9.20787e6 | 0.309410 | ||||||||
\(977\) | −3.66254e7 | − | 2.66099e7i | −1.22757 | − | 0.891882i | −0.230865 | − | 0.972986i | \(-0.574156\pi\) |
−0.996706 | + | 0.0811036i | \(0.974156\pi\) | |||||||
\(978\) | −6.57028e6 | − | 2.02212e7i | −0.219653 | − | 0.676021i | ||||
\(979\) | 2.24566e6 | + | 6.91143e6i | 0.0748837 | + | 0.230468i | ||||
\(980\) | −2.81048e7 | + | 6.06752e6i | −0.934793 | + | 0.201811i | ||||
\(981\) | −603903. | + | 1.85862e6i | −0.0200353 | + | 0.0616622i | ||||
\(982\) | 5.67341e7 | 1.87744 | ||||||||
\(983\) | −4.15097e6 | + | 1.27754e7i | −0.137014 | + | 0.421687i | −0.995898 | − | 0.0904840i | \(-0.971159\pi\) |
0.858883 | + | 0.512171i | \(0.171159\pi\) | |||||||
\(984\) | 7.70897e6 | − | 5.60090e6i | 0.253810 | − | 0.184404i | ||||
\(985\) | −4.49613e7 | + | 9.70664e6i | −1.47655 | + | 0.318771i | ||||
\(986\) | −1.53601e7 | − | 1.11598e7i | −0.503157 | − | 0.365565i | ||||
\(987\) | −7.07960e6 | + | 5.14363e6i | −0.231321 | + | 0.168065i | ||||
\(988\) | 534909. | − | 388634.i | 0.0174336 | − | 0.0126663i | ||||
\(989\) | −5.60707e7 | − | 4.07378e7i | −1.82283 | − | 1.32436i | ||||
\(990\) | −1.30952e6 | + | 1.46372e6i | −0.0424643 | + | 0.0474646i | ||||
\(991\) | 2.11459e7 | − | 1.53634e7i | 0.683977 | − | 0.496938i | −0.190698 | − | 0.981649i | \(-0.561075\pi\) |
0.874675 | + | 0.484710i | \(0.161075\pi\) | |||||||
\(992\) | −7.58774e6 | + | 2.33527e7i | −0.244812 | + | 0.753455i | ||||
\(993\) | 1.73049e7 | 0.556925 | ||||||||
\(994\) | −941809. | + | 2.89859e6i | −0.0302341 | + | 0.0930509i | ||||
\(995\) | 5.78325e6 | − | 5.67631e7i | 0.185189 | − | 1.81764i | ||||
\(996\) | 2.13452e6 | + | 6.56936e6i | 0.0681790 | + | 0.209834i | ||||
\(997\) | −1.43829e7 | − | 4.42661e7i | −0.458258 | − | 1.41037i | −0.867268 | − | 0.497842i | \(-0.834126\pi\) |
0.409010 | − | 0.912530i | \(-0.365874\pi\) | |||||||
\(998\) | 5.34955e6 | + | 3.88668e6i | 0.170017 | + | 0.123524i | ||||
\(999\) | −5.51433e7 | −1.74815 |
(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 | 25.6.d.a.16.10 | yes | 44 | |
25.6 | even | 5 | 625.6.a.d.1.3 | 22 | |||
25.11 | even | 5 | inner | 25.6.d.a.11.10 | ✓ | 44 | |
25.19 | even | 10 | 625.6.a.c.1.20 | 22 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.6.d.a.11.10 | ✓ | 44 | 25.11 | even | 5 | inner | |
25.6.d.a.16.10 | yes | 44 | 1.1 | even | 1 | trivial | |
625.6.a.c.1.20 | 22 | 25.19 | even | 10 | |||
625.6.a.d.1.3 | 22 | 25.6 | even | 5 |