Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [89,6,Mod(11,89)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(89, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([21]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("89.11");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 89 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 89.f (of order \(22\), degree \(10\), 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: | \(14.2741599634\) |
Analytic rank: | \(0\) |
Dimension: | \(360\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.18 | ||
Character | \(\chi\) | \(=\) | 89.11 |
Dual form | 89.6.f.a.81.18 |
$q$-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 \(\left(\mathbb{Z}/89\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{21}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.194195 | + | 0.224113i | 0.0343291 | + | 0.0396179i | 0.772654 | − | 0.634827i | \(-0.218929\pi\) |
−0.738325 | + | 0.674445i | \(0.764383\pi\) | |||||||
\(3\) | 19.9890 | − | 2.87398i | 1.28229 | − | 0.184366i | 0.532723 | − | 0.846290i | \(-0.321169\pi\) |
0.749571 | + | 0.661924i | \(0.230260\pi\) | |||||||
\(4\) | 4.54156 | − | 31.5872i | 0.141924 | − | 0.987101i | ||||
\(5\) | −59.2305 | + | 38.0651i | −1.05955 | + | 0.680930i | −0.949745 | − | 0.313024i | \(-0.898658\pi\) |
−0.109802 | + | 0.993953i | \(0.535022\pi\) | |||||||
\(6\) | 4.52585 | + | 3.92167i | 0.0513242 | + | 0.0444726i | ||||
\(7\) | −59.5362 | − | 92.6401i | −0.459236 | − | 0.714585i | 0.531992 | − | 0.846749i | \(-0.321444\pi\) |
−0.991228 | + | 0.132164i | \(0.957807\pi\) | |||||||
\(8\) | 15.9440 | − | 10.2466i | 0.0880791 | − | 0.0566050i | ||||
\(9\) | 158.143 | − | 46.4349i | 0.650794 | − | 0.191090i | ||||
\(10\) | −20.0331 | − | 5.88226i | −0.0633503 | − | 0.0186013i | ||||
\(11\) | −626.151 | − | 402.403i | −1.56026 | − | 1.00272i | −0.982445 | − | 0.186550i | \(-0.940269\pi\) |
−0.577815 | − | 0.816168i | \(-0.696094\pi\) | |||||||
\(12\) | − | 644.449i | − | 1.29192i | ||||||
\(13\) | 86.4982 | − | 12.4366i | 0.141954 | − | 0.0204099i | −0.0709713 | − | 0.997478i | \(-0.522610\pi\) |
0.212926 | + | 0.977068i | \(0.431701\pi\) | |||||||
\(14\) | 9.20020 | − | 31.3330i | 0.0125452 | − | 0.0427250i | ||||
\(15\) | −1074.56 | + | 931.111i | −1.23311 | + | 1.06850i | ||||
\(16\) | −974.428 | − | 286.118i | −0.951590 | − | 0.279412i | ||||
\(17\) | 915.647 | − | 1056.71i | 0.768432 | − | 0.886818i | −0.227785 | − | 0.973711i | \(-0.573148\pi\) |
0.996218 | + | 0.0868933i | \(0.0276939\pi\) | |||||||
\(18\) | 41.1172 | + | 26.4244i | 0.0299117 | + | 0.0192231i | ||||
\(19\) | 382.417 | + | 1302.39i | 0.243026 | + | 0.827671i | 0.987173 | + | 0.159655i | \(0.0510381\pi\) |
−0.744147 | + | 0.668016i | \(0.767144\pi\) | |||||||
\(20\) | 933.374 | + | 2043.80i | 0.521772 | + | 1.14252i | ||||
\(21\) | −1456.31 | − | 1680.68i | −0.720620 | − | 0.831640i | ||||
\(22\) | −31.4116 | − | 218.473i | −0.0138367 | − | 0.0962366i | ||||
\(23\) | 369.874 | + | 1259.67i | 0.145792 | + | 0.496522i | 0.999715 | − | 0.0238774i | \(-0.00760113\pi\) |
−0.853923 | + | 0.520400i | \(0.825783\pi\) | |||||||
\(24\) | 289.256 | − | 250.642i | 0.102507 | − | 0.0888231i | ||||
\(25\) | 761.127 | − | 1666.63i | 0.243561 | − | 0.533323i | ||||
\(26\) | 19.5847 | + | 16.9702i | 0.00568176 | + | 0.00492327i | ||||
\(27\) | −1436.15 | + | 655.867i | −0.379132 | + | 0.173144i | ||||
\(28\) | −3196.63 | + | 1459.85i | −0.770544 | + | 0.351896i | ||||
\(29\) | −877.462 | − | 1365.36i | −0.193746 | − | 0.301475i | 0.730766 | − | 0.682629i | \(-0.239163\pi\) |
−0.924512 | + | 0.381154i | \(0.875527\pi\) | |||||||
\(30\) | −417.347 | − | 60.0055i | −0.0846631 | − | 0.0121727i | ||||
\(31\) | 2400.57 | − | 8175.61i | 0.448653 | − | 1.52797i | −0.356148 | − | 0.934429i | \(-0.615910\pi\) |
0.804802 | − | 0.593544i | \(-0.202272\pi\) | |||||||
\(32\) | −377.050 | − | 825.624i | −0.0650914 | − | 0.142530i | ||||
\(33\) | −13672.6 | − | 6244.07i | −2.18558 | − | 0.998121i | ||||
\(34\) | 414.636 | 0.0615134 | ||||||||
\(35\) | 7052.71 | + | 3220.87i | 0.973164 | + | 0.444429i | ||||
\(36\) | −748.536 | − | 5206.19i | −0.0962624 | − | 0.669520i | ||||
\(37\) | − | 14957.0i | − | 1.79614i | −0.439849 | − | 0.898072i | \(-0.644968\pi\) | ||
0.439849 | − | 0.898072i | \(-0.355032\pi\) | |||||||
\(38\) | −217.619 | + | 338.622i | −0.0244477 | + | 0.0380414i | ||||
\(39\) | 1693.27 | − | 497.188i | 0.178264 | − | 0.0523431i | ||||
\(40\) | −554.334 | + | 1213.82i | −0.0547800 | + | 0.119951i | ||||
\(41\) | 4443.65 | + | 638.901i | 0.412839 | + | 0.0593573i | 0.345605 | − | 0.938380i | \(-0.387674\pi\) |
0.0672336 | + | 0.997737i | \(0.478583\pi\) | |||||||
\(42\) | 93.8522 | − | 652.756i | 0.00820958 | − | 0.0570989i | ||||
\(43\) | −3714.65 | + | 5780.11i | −0.306370 | + | 0.476722i | −0.959964 | − | 0.280124i | \(-0.909624\pi\) |
0.653593 | + | 0.756846i | \(0.273261\pi\) | |||||||
\(44\) | −15554.5 | + | 17950.8i | −1.21122 | + | 1.39783i | ||||
\(45\) | −7599.33 | + | 8770.10i | −0.559428 | + | 0.645614i | ||||
\(46\) | −210.481 | + | 327.515i | −0.0146663 | + | 0.0228211i | ||||
\(47\) | −1170.29 | + | 8139.57i | −0.0772770 | + | 0.537473i | 0.914004 | + | 0.405706i | \(0.132974\pi\) |
−0.991281 | + | 0.131767i | \(0.957935\pi\) | |||||||
\(48\) | −20300.1 | − | 2918.72i | −1.27173 | − | 0.182847i | ||||
\(49\) | 1944.25 | − | 4257.31i | 0.115681 | − | 0.253306i | ||||
\(50\) | 521.320 | − | 153.074i | 0.0294903 | − | 0.00865915i | ||||
\(51\) | 15265.9 | − | 23754.2i | 0.821857 | − | 1.27883i | ||||
\(52\) | − | 2788.72i | − | 0.143020i | ||||||
\(53\) | 3726.35 | + | 25917.3i | 0.182219 | + | 1.26736i | 0.851501 | + | 0.524352i | \(0.175693\pi\) |
−0.669282 | + | 0.743008i | \(0.733398\pi\) | |||||||
\(54\) | −425.880 | − | 194.493i | −0.0198748 | − | 0.00907653i | ||||
\(55\) | 52404.7 | 2.33595 | ||||||||
\(56\) | −1898.49 | − | 867.012i | −0.0808982 | − | 0.0369450i | ||||
\(57\) | 11387.2 | + | 24934.4i | 0.464225 | + | 1.01651i | ||||
\(58\) | 135.595 | − | 461.795i | 0.00529267 | − | 0.0180252i | ||||
\(59\) | 33334.0 | + | 4792.71i | 1.24669 | + | 0.179247i | 0.733894 | − | 0.679264i | \(-0.237701\pi\) |
0.512795 | + | 0.858511i | \(0.328610\pi\) | |||||||
\(60\) | 24531.0 | + | 38171.1i | 0.879707 | + | 1.36885i | ||||
\(61\) | 19436.9 | − | 8876.55i | 0.668810 | − | 0.305436i | −0.0519197 | − | 0.998651i | \(-0.516534\pi\) |
0.720730 | + | 0.693216i | \(0.243807\pi\) | |||||||
\(62\) | 2298.43 | − | 1049.66i | 0.0759369 | − | 0.0346792i | ||||
\(63\) | −13717.0 | − | 11885.8i | −0.435418 | − | 0.377292i | ||||
\(64\) | −13388.4 | + | 29316.5i | −0.408581 | + | 0.894668i | ||||
\(65\) | −4649.93 | + | 4029.19i | −0.136510 | + | 0.118286i | ||||
\(66\) | −1255.77 | − | 4276.77i | −0.0354855 | − | 0.120853i | ||||
\(67\) | −7057.37 | − | 49085.1i | −0.192068 | − | 1.33586i | −0.826522 | − | 0.562904i | \(-0.809684\pi\) |
0.634454 | − | 0.772961i | \(-0.281225\pi\) | |||||||
\(68\) | −29220.2 | − | 33721.9i | −0.766321 | − | 0.884381i | ||||
\(69\) | 11013.7 | + | 24116.6i | 0.278490 | + | 0.609808i | ||||
\(70\) | 647.763 | + | 2206.08i | 0.0158005 | + | 0.0538116i | ||||
\(71\) | 3273.27 | + | 2103.61i | 0.0770613 | + | 0.0495243i | 0.578604 | − | 0.815609i | \(-0.303598\pi\) |
−0.501543 | + | 0.865133i | \(0.667234\pi\) | |||||||
\(72\) | 2045.63 | − | 2360.79i | 0.0465047 | − | 0.0536693i | ||||
\(73\) | −9558.05 | − | 2806.50i | −0.209924 | − | 0.0616392i | 0.175080 | − | 0.984554i | \(-0.443982\pi\) |
−0.385004 | + | 0.922915i | \(0.625800\pi\) | |||||||
\(74\) | 3352.06 | − | 2904.58i | 0.0711594 | − | 0.0616600i | ||||
\(75\) | 10424.3 | − | 35501.8i | 0.213989 | − | 0.728781i | ||||
\(76\) | 42875.7 | − | 6164.60i | 0.851486 | − | 0.122425i | ||||
\(77\) | 81964.1i | 1.57542i | ||||||||
\(78\) | 440.250 | + | 282.931i | 0.00819337 | + | 0.00526556i | ||||
\(79\) | −64935.2 | − | 19066.7i | −1.17061 | − | 0.343722i | −0.362063 | − | 0.932154i | \(-0.617927\pi\) |
−0.808547 | + | 0.588432i | \(0.799746\pi\) | |||||||
\(80\) | 68607.0 | − | 20144.8i | 1.19851 | − | 0.351916i | ||||
\(81\) | −60515.3 | + | 38890.8i | −1.02483 | + | 0.658620i | ||||
\(82\) | 719.748 | + | 1119.95i | 0.0118208 | + | 0.0183935i | ||||
\(83\) | 51456.9 | + | 44587.7i | 0.819877 | + | 0.710428i | 0.960089 | − | 0.279694i | \(-0.0902330\pi\) |
−0.140212 | + | 0.990121i | \(0.544778\pi\) | |||||||
\(84\) | −59701.8 | + | 38368.0i | −0.923187 | + | 0.593296i | ||||
\(85\) | −14010.3 | + | 97443.8i | −0.210330 | + | 1.46287i | ||||
\(86\) | −2016.76 | + | 289.966i | −0.0294041 | + | 0.00422767i | ||||
\(87\) | −21463.6 | − | 24770.3i | −0.304021 | − | 0.350859i | ||||
\(88\) | −14106.6 | −0.194185 | ||||||||
\(89\) | 74711.2 | − | 1514.68i | 0.999795 | − | 0.0202697i | ||||
\(90\) | −3441.24 | −0.0447825 | ||||||||
\(91\) | −6301.89 | − | 7272.77i | −0.0797752 | − | 0.0920654i | ||||
\(92\) | 41469.5 | − | 5962.41i | 0.510809 | − | 0.0734433i | ||||
\(93\) | 24488.5 | − | 170321.i | 0.293599 | − | 2.04203i | ||||
\(94\) | −2051.44 | + | 1318.38i | −0.0239464 | + | 0.0153894i | ||||
\(95\) | −72226.5 | − | 62584.6i | −0.821084 | − | 0.711473i | ||||
\(96\) | −9909.67 | − | 15419.7i | −0.109744 | − | 0.170765i | ||||
\(97\) | 34004.2 | − | 21853.2i | 0.366947 | − | 0.235822i | −0.344153 | − | 0.938914i | \(-0.611834\pi\) |
0.711100 | + | 0.703091i | \(0.248197\pi\) | |||||||
\(98\) | 1331.68 | − | 391.017i | 0.0140067 | − | 0.00411273i | ||||
\(99\) | −117707. | − | 34561.8i | −1.20702 | − | 0.354412i | ||||
\(100\) | −49187.7 | − | 31611.0i | −0.491877 | − | 0.316110i | ||||
\(101\) | 73196.4i | 0.713981i | 0.934108 | + | 0.356990i | \(0.116197\pi\) | ||||
−0.934108 | + | 0.356990i | \(0.883803\pi\) | |||||||
\(102\) | 8288.16 | − | 1191.66i | 0.0788783 | − | 0.0113410i | ||||
\(103\) | −12648.6 | + | 43077.2i | −0.117476 | + | 0.400087i | −0.997146 | − | 0.0754980i | \(-0.975945\pi\) |
0.879670 | + | 0.475585i | \(0.157764\pi\) | |||||||
\(104\) | 1251.70 | − | 1084.60i | 0.0113479 | − | 0.00983302i | ||||
\(105\) | 150233. | + | 44112.5i | 1.32982 | + | 0.390471i | ||||
\(106\) | −5084.76 | + | 5868.12i | −0.0439547 | + | 0.0507265i | ||||
\(107\) | 19368.6 | + | 12447.5i | 0.163546 | + | 0.105104i | 0.619854 | − | 0.784718i | \(-0.287192\pi\) |
−0.456308 | + | 0.889822i | \(0.650828\pi\) | |||||||
\(108\) | 14194.7 | + | 48342.6i | 0.117103 | + | 0.398815i | ||||
\(109\) | −63608.6 | − | 139283.i | −0.512801 | − | 1.12288i | −0.972094 | − | 0.234593i | \(-0.924624\pi\) |
0.459292 | − | 0.888285i | \(-0.348103\pi\) | |||||||
\(110\) | 10176.7 | + | 11744.6i | 0.0801911 | + | 0.0925454i | ||||
\(111\) | −42986.2 | − | 298976.i | −0.331148 | − | 2.30318i | ||||
\(112\) | 31507.7 | + | 107305.i | 0.237341 | + | 0.808308i | ||||
\(113\) | 45255.4 | − | 39214.0i | 0.333407 | − | 0.288898i | −0.472027 | − | 0.881584i | \(-0.656478\pi\) |
0.805434 | + | 0.592685i | \(0.201932\pi\) | |||||||
\(114\) | −3376.79 | + | 7394.14i | −0.0243356 | + | 0.0532875i | ||||
\(115\) | −69857.5 | − | 60531.9i | −0.492571 | − | 0.426815i | ||||
\(116\) | −47112.9 | + | 21515.7i | −0.325083 | + | 0.148461i | ||||
\(117\) | 13101.6 | − | 5983.29i | 0.0884829 | − | 0.0404088i | ||||
\(118\) | 5399.19 | + | 8401.30i | 0.0356963 | + | 0.0555445i | ||||
\(119\) | −152408. | − | 21913.0i | −0.986598 | − | 0.141851i | ||||
\(120\) | −7592.08 | + | 25856.2i | −0.0481291 | + | 0.163913i | ||||
\(121\) | 163234. | + | 357432.i | 1.01355 | + | 2.21937i | ||||
\(122\) | 5763.89 | + | 2632.28i | 0.0350604 | + | 0.0160115i | ||||
\(123\) | 90660.3 | 0.540324 | ||||||||
\(124\) | −247342. | − | 112958.i | −1.44459 | − | 0.659722i | ||||
\(125\) | −12953.8 | − | 90095.7i | −0.0741519 | − | 0.515738i | ||||
\(126\) | − | 5382.30i | − | 0.0302024i | ||||||
\(127\) | −65017.7 | + | 101170.i | −0.357703 | + | 0.556597i | −0.972739 | − | 0.231902i | \(-0.925505\pi\) |
0.615036 | + | 0.788499i | \(0.289141\pi\) | |||||||
\(128\) | −37038.3 | + | 10875.4i | −0.199814 | + | 0.0586707i | ||||
\(129\) | −57640.2 | + | 126214.i | −0.304966 | + | 0.667782i | ||||
\(130\) | −1805.98 | − | 259.661i | −0.00937250 | − | 0.00134756i | ||||
\(131\) | 51642.8 | − | 359184.i | 0.262925 | − | 1.82868i | −0.247650 | − | 0.968849i | \(-0.579658\pi\) |
0.510575 | − | 0.859833i | \(-0.329433\pi\) | |||||||
\(132\) | −259328. | + | 403522.i | −1.29543 | + | 2.01573i | ||||
\(133\) | 97886.1 | − | 112967.i | 0.479835 | − | 0.553759i | ||||
\(134\) | 9630.08 | − | 11113.7i | 0.0463306 | − | 0.0534684i | ||||
\(135\) | 60098.2 | − | 93514.6i | 0.283809 | − | 0.441616i | ||||
\(136\) | 3771.38 | − | 26230.5i | 0.0174845 | − | 0.121607i | ||||
\(137\) | −296221. | − | 42590.1i | −1.34839 | − | 0.193869i | −0.569995 | − | 0.821648i | \(-0.693055\pi\) |
−0.778391 | + | 0.627779i | \(0.783964\pi\) | |||||||
\(138\) | −3266.04 | + | 7151.62i | −0.0145990 | + | 0.0319674i | ||||
\(139\) | 386028. | − | 113348.i | 1.69466 | − | 0.497596i | 0.715143 | − | 0.698979i | \(-0.246362\pi\) |
0.979513 | + | 0.201383i | \(0.0645435\pi\) | |||||||
\(140\) | 133769. | − | 208148.i | 0.576812 | − | 0.897537i | ||||
\(141\) | 166065.i | 0.703446i | ||||||||
\(142\) | 164.208 | + | 1142.09i | 0.000683397 | + | 0.00475313i | ||||
\(143\) | −59165.4 | − | 27019.9i | −0.241951 | − | 0.110495i | ||||
\(144\) | −167385. | −0.672682 | ||||||||
\(145\) | 103945. | + | 47470.1i | 0.410567 | + | 0.187499i | ||||
\(146\) | −1227.15 | − | 2687.08i | −0.00476448 | − | 0.0104328i | ||||
\(147\) | 26628.1 | − | 90687.1i | 0.101636 | − | 0.346140i | ||||
\(148\) | −472451. | − | 67928.3i | −1.77298 | − | 0.254915i | ||||
\(149\) | −137260. | − | 213580.i | −0.506498 | − | 0.788126i | 0.490002 | − | 0.871721i | \(-0.336996\pi\) |
−0.996500 | + | 0.0835956i | \(0.973360\pi\) | |||||||
\(150\) | 9980.74 | − | 4558.05i | 0.0362188 | − | 0.0165406i | ||||
\(151\) | −40698.7 | + | 18586.5i | −0.145257 | + | 0.0663368i | −0.486717 | − | 0.873559i | \(-0.661806\pi\) |
0.341460 | + | 0.939896i | \(0.389079\pi\) | |||||||
\(152\) | 19442.4 | + | 16846.9i | 0.0682559 | + | 0.0591440i | ||||
\(153\) | 95734.6 | − | 209630.i | 0.330629 | − | 0.723976i | ||||
\(154\) | −18369.2 | + | 15917.0i | −0.0624149 | + | 0.0540828i | ||||
\(155\) | 169018. | + | 575623.i | 0.565073 | + | 1.92446i | ||||
\(156\) | −8014.73 | − | 55743.7i | −0.0263680 | − | 0.183394i | ||||
\(157\) | −156946. | − | 181125.i | −0.508160 | − | 0.586448i | 0.442467 | − | 0.896785i | \(-0.354103\pi\) |
−0.950627 | + | 0.310337i | \(0.899558\pi\) | |||||||
\(158\) | −8336.98 | − | 18255.4i | −0.0265684 | − | 0.0581768i | ||||
\(159\) | 148972. | + | 507351.i | 0.467316 | + | 1.59153i | ||||
\(160\) | 53760.3 | + | 34549.7i | 0.166021 | + | 0.106695i | ||||
\(161\) | 94675.5 | − | 109261.i | 0.287854 | − | 0.332202i | ||||
\(162\) | −20467.7 | − | 6009.85i | −0.0612747 | − | 0.0179919i | ||||
\(163\) | 404337. | − | 350360.i | 1.19200 | − | 1.03287i | 0.193336 | − | 0.981133i | \(-0.438069\pi\) |
0.998661 | − | 0.0517380i | \(-0.0164761\pi\) | |||||||
\(164\) | 40362.2 | − | 137461.i | 0.117183 | − | 0.399089i | ||||
\(165\) | 1.04752e6 | − | 150610.i | 2.99538 | − | 0.430670i | ||||
\(166\) | 20190.8i | 0.0568701i | ||||||||
\(167\) | −223846. | − | 143857.i | −0.621095 | − | 0.399154i | 0.191908 | − | 0.981413i | \(-0.438533\pi\) |
−0.813003 | + | 0.582259i | \(0.802169\pi\) | |||||||
\(168\) | −40440.7 | − | 11874.5i | −0.110547 | − | 0.0324594i | ||||
\(169\) | −348926. | + | 102454.i | −0.939759 | + | 0.275938i | ||||
\(170\) | −24559.1 | + | 15783.2i | −0.0651764 | + | 0.0418863i | ||||
\(171\) | 120953. | + | 188207.i | 0.316320 | + | 0.492203i | ||||
\(172\) | 165707. | + | 143586.i | 0.427091 | + | 0.370077i | ||||
\(173\) | −608611. | + | 391130.i | −1.54605 | + | 0.993588i | −0.559747 | + | 0.828664i | \(0.689102\pi\) |
−0.986306 | + | 0.164924i | \(0.947262\pi\) | |||||||
\(174\) | 1383.22 | − | 9620.51i | 0.00346353 | − | 0.0240894i | ||||
\(175\) | −199712. | + | 28714.2i | −0.492956 | + | 0.0708764i | ||||
\(176\) | 495004. | + | 571265.i | 1.20456 | + | 1.39013i | ||||
\(177\) | 680088. | 1.63167 | ||||||||
\(178\) | 14848.0 | + | 16449.6i | 0.0351251 | + | 0.0389139i | ||||
\(179\) | 491822. | 1.14729 | 0.573647 | − | 0.819102i | \(-0.305528\pi\) | ||||
0.573647 | + | 0.819102i | \(0.305528\pi\) | |||||||
\(180\) | 242510. | + | 279872.i | 0.557891 | + | 0.643840i | ||||
\(181\) | −151522. | + | 21785.6i | −0.343780 | + | 0.0494281i | −0.312042 | − | 0.950068i | \(-0.601013\pi\) |
−0.0317374 | + | 0.999496i | \(0.510104\pi\) | |||||||
\(182\) | 406.126 | − | 2824.67i | 0.000908829 | − | 0.00632104i | ||||
\(183\) | 363013. | − | 233295.i | 0.801300 | − | 0.514964i | ||||
\(184\) | 18804.7 | + | 16294.3i | 0.0409469 | + | 0.0354807i | ||||
\(185\) | 569341. | + | 885913.i | 1.22305 | + | 1.90310i | ||||
\(186\) | 42926.7 | − | 27587.3i | 0.0909798 | − | 0.0584691i | ||||
\(187\) | −998556. | + | 293203.i | −2.08818 | + | 0.613146i | ||||
\(188\) | 251792. | + | 73932.7i | 0.519573 | + | 0.152560i | ||||
\(189\) | 146262. | + | 93997.1i | 0.297837 | + | 0.191408i | ||||
\(190\) | − | 28340.4i | − | 0.0569538i | ||||||
\(191\) | 98851.4 | − | 14212.7i | 0.196065 | − | 0.0281898i | −0.0435828 | − | 0.999050i | \(-0.513877\pi\) |
0.239647 | + | 0.970860i | \(0.422968\pi\) | |||||||
\(192\) | −183365. | + | 624485.i | −0.358975 | + | 1.22256i | ||||
\(193\) | −322803. | + | 279710.i | −0.623798 | + | 0.540524i | −0.908390 | − | 0.418125i | \(-0.862687\pi\) |
0.284592 | + | 0.958649i | \(0.408142\pi\) | |||||||
\(194\) | 11501.0 | + | 3377.00i | 0.0219397 | + | 0.00644209i | ||||
\(195\) | −81367.6 | + | 93903.2i | −0.153237 | + | 0.176845i | ||||
\(196\) | −125647. | − | 80748.3i | −0.233621 | − | 0.150139i | ||||
\(197\) | 25673.4 | + | 87435.7i | 0.0471323 | + | 0.160518i | 0.979697 | − | 0.200486i | \(-0.0642522\pi\) |
−0.932564 | + | 0.361004i | \(0.882434\pi\) | |||||||
\(198\) | −15112.3 | − | 33091.3i | −0.0273947 | − | 0.0599861i | ||||
\(199\) | −430936. | − | 497327.i | −0.771401 | − | 0.890244i | 0.225056 | − | 0.974346i | \(-0.427743\pi\) |
−0.996457 | + | 0.0841015i | \(0.973198\pi\) | |||||||
\(200\) | −4941.92 | − | 34371.8i | −0.00873617 | − | 0.0607614i | ||||
\(201\) | −282139. | − | 960878.i | −0.492576 | − | 1.67756i | ||||
\(202\) | −16404.2 | + | 14214.4i | −0.0282864 | + | 0.0245103i | ||||
\(203\) | −74246.1 | + | 162576.i | −0.126454 | + | 0.276896i | ||||
\(204\) | −680998. | − | 590088.i | −1.14570 | − | 0.992753i | ||||
\(205\) | −287520. | + | 131306.i | −0.477840 | + | 0.218222i | ||||
\(206\) | −12110.4 | + | 5530.65i | −0.0198834 | + | 0.00908046i | ||||
\(207\) | 116986. | + | 182034.i | 0.189761 | + | 0.295274i | ||||
\(208\) | −87844.6 | − | 12630.1i | −0.140785 | − | 0.0202418i | ||||
\(209\) | 284635. | − | 969379.i | 0.450737 | − | 1.53507i | ||||
\(210\) | 19288.3 | + | 42235.6i | 0.0301819 | + | 0.0660892i | ||||
\(211\) | −83924.5 | − | 38327.0i | −0.129773 | − | 0.0592651i | 0.349471 | − | 0.936947i | \(-0.386361\pi\) |
−0.479243 | + | 0.877682i | \(0.659089\pi\) | |||||||
\(212\) | 835580. | 1.27687 | ||||||||
\(213\) | 71475.2 | + | 32641.6i | 0.107946 | + | 0.0492972i | ||||
\(214\) | 971.651 | + | 6757.98i | 0.00145036 | + | 0.0100875i | ||||
\(215\) | − | 483758.i | − | 0.713726i | ||||||
\(216\) | −16177.6 | + | 25172.8i | −0.0235928 | + | 0.0367111i | ||||
\(217\) | −900310. | + | 264355.i | −1.29790 | + | 0.381099i | ||||
\(218\) | 18862.7 | − | 41303.5i | 0.0268821 | − | 0.0588635i | ||||
\(219\) | −199121. | − | 28629.3i | −0.280548 | − | 0.0403368i | ||||
\(220\) | 237999. | − | 1.65532e6i | 0.331527 | − | 2.30582i | ||||
\(221\) | 66059.9 | − | 102791.i | 0.0909824 | − | 0.141571i | ||||
\(222\) | 58656.5 | − | 67693.3i | 0.0798793 | − | 0.0921856i | ||||
\(223\) | 104610. | − | 120727.i | 0.140868 | − | 0.162570i | −0.680932 | − | 0.732347i | \(-0.738425\pi\) |
0.821799 | + | 0.569777i | \(0.192970\pi\) | |||||||
\(224\) | −54037.7 | + | 84084.4i | −0.0719577 | + | 0.111968i | ||||
\(225\) | 42976.7 | − | 298909.i | 0.0565948 | − | 0.393625i | ||||
\(226\) | 17576.7 | + | 2527.15i | 0.0228911 | + | 0.00329124i | ||||
\(227\) | −219205. | + | 479992.i | −0.282349 | + | 0.618258i | −0.996668 | − | 0.0815622i | \(-0.974009\pi\) |
0.714320 | + | 0.699820i | \(0.246736\pi\) | |||||||
\(228\) | 839326. | − | 246448.i | 1.06928 | − | 0.313970i | ||||
\(229\) | −93845.1 | + | 146026.i | −0.118256 | + | 0.184010i | −0.895335 | − | 0.445393i | \(-0.853064\pi\) |
0.777079 | + | 0.629403i | \(0.216700\pi\) | |||||||
\(230\) | − | 27410.9i | − | 0.0341668i | ||||||
\(231\) | 235563. | + | 1.63838e6i | 0.290454 | + | 2.02015i | ||||
\(232\) | −27980.5 | − | 12778.3i | −0.0341300 | − | 0.0155866i | ||||
\(233\) | −589883. | −0.711829 | −0.355915 | − | 0.934518i | \(-0.615831\pi\) | ||||
−0.355915 | + | 0.934518i | \(0.615831\pi\) | |||||||
\(234\) | 3885.19 | + | 1774.31i | 0.00463844 | + | 0.00211831i | ||||
\(235\) | −240517. | − | 526658.i | −0.284103 | − | 0.622099i | ||||
\(236\) | 302777. | − | 1.03116e6i | 0.353869 | − | 1.20517i | ||||
\(237\) | −1.35279e6 | − | 194501.i | −1.56444 | − | 0.224932i | ||||
\(238\) | −24685.8 | − | 38411.9i | −0.0282492 | − | 0.0439566i | ||||
\(239\) | −781719. | + | 356999.i | −0.885229 | + | 0.404271i | −0.805535 | − | 0.592549i | \(-0.798122\pi\) |
−0.0796945 | + | 0.996819i | \(0.525394\pi\) | |||||||
\(240\) | 1.31349e6 | − | 599850.i | 1.47197 | − | 0.672225i | ||||
\(241\) | −783283. | − | 678718.i | −0.868712 | − | 0.752743i | 0.101542 | − | 0.994831i | \(-0.467622\pi\) |
−0.970254 | + | 0.242088i | \(0.922168\pi\) | |||||||
\(242\) | −48405.9 | + | 105994.i | −0.0531324 | + | 0.116344i | ||||
\(243\) | −807922. | + | 700068.i | −0.877715 | + | 0.760544i | ||||
\(244\) | −192112. | − | 654272.i | −0.206576 | − | 0.703532i | ||||
\(245\) | 46896.3 | + | 326171.i | 0.0499141 | + | 0.347160i | ||||
\(246\) | 17605.7 | + | 20318.1i | 0.0185488 | + | 0.0214065i | ||||
\(247\) | 49275.6 | + | 107899.i | 0.0513913 | + | 0.112531i | ||||
\(248\) | −45497.4 | − | 154950.i | −0.0469739 | − | 0.159979i | ||||
\(249\) | 1.15672e6 | + | 743376.i | 1.18230 | + | 0.759819i | ||||
\(250\) | 17676.0 | − | 20399.2i | 0.0178869 | − | 0.0206426i | ||||
\(251\) | 1.83605e6 | + | 539114.i | 1.83950 | + | 0.540127i | 0.999995 | − | 0.00321682i | \(-0.00102395\pi\) |
0.839510 | + | 0.543344i | \(0.182842\pi\) | |||||||
\(252\) | −437736. | + | 379301.i | −0.434222 | + | 0.376255i | ||||
\(253\) | 275300. | − | 937584.i | 0.270398 | − | 0.920893i | ||||
\(254\) | −35299.5 | + | 5075.30i | −0.0343308 | + | 0.00493602i | ||||
\(255\) | 1.98807e6i | 1.91461i | ||||||||
\(256\) | 857977. | + | 551388.i | 0.818231 | + | 0.525845i | ||||
\(257\) | −1.33270e6 | − | 391316.i | −1.25863 | − | 0.369569i | −0.416649 | − | 0.909068i | \(-0.636795\pi\) |
−0.841986 | + | 0.539499i | \(0.818614\pi\) | |||||||
\(258\) | −39479.6 | + | 11592.3i | −0.0369253 | + | 0.0108422i | ||||
\(259\) | −1.38562e6 | + | 890484.i | −1.28350 | + | 0.824854i | ||||
\(260\) | 106153. | + | 165177.i | 0.0973866 | + | 0.151536i | ||||
\(261\) | −202165. | − | 175177.i | −0.183698 | − | 0.159175i | ||||
\(262\) | 90526.3 | − | 58177.7i | 0.0814745 | − | 0.0523605i | ||||
\(263\) | −100415. | + | 698399.i | −0.0895175 | + | 0.622608i | 0.894835 | + | 0.446397i | \(0.147293\pi\) |
−0.984352 | + | 0.176211i | \(0.943616\pi\) | |||||||
\(264\) | −281977. | + | 40542.2i | −0.249003 | + | 0.0358012i | ||||
\(265\) | −1.20726e6 | − | 1.39325e6i | −1.05605 | − | 1.21875i | ||||
\(266\) | 44326.2 | 0.0384110 | ||||||||
\(267\) | 1.48905e6 | − | 244996.i | 1.27829 | − | 0.210320i | ||||
\(268\) | −1.58251e6 | −1.34589 | ||||||||
\(269\) | 415275. | + | 479253.i | 0.349909 | + | 0.403816i | 0.903234 | − | 0.429149i | \(-0.141187\pi\) |
−0.553325 | + | 0.832966i | \(0.686641\pi\) | |||||||
\(270\) | 32628.5 | − | 4691.27i | 0.0272388 | − | 0.00391635i | ||||
\(271\) | 263386. | − | 1.83189e6i | 0.217856 | − | 1.51522i | −0.528073 | − | 0.849199i | \(-0.677085\pi\) |
0.745930 | − | 0.666025i | \(-0.232006\pi\) | |||||||
\(272\) | −1.19458e6 | + | 767707.i | −0.979020 | + | 0.629178i | ||||
\(273\) | −146870. | − | 127264.i | −0.119269 | − | 0.103347i | ||||
\(274\) | −47979.5 | − | 74657.6i | −0.0386082 | − | 0.0600755i | ||||
\(275\) | −1.14724e6 | + | 737285.i | −0.914791 | + | 0.587900i | ||||
\(276\) | 811796. | − | 238365.i | 0.641467 | − | 0.188352i | ||||
\(277\) | 1.86478e6 | + | 547548.i | 1.46025 | + | 0.428768i | 0.912917 | − | 0.408146i | \(-0.133824\pi\) |
0.547334 | + | 0.836914i | \(0.315643\pi\) | |||||||
\(278\) | 100367. | + | 64502.1i | 0.0778896 | + | 0.0500566i | ||||
\(279\) | − | 1.40438e6i | − | 1.08013i | ||||||
\(280\) | 145452. | − | 20912.8i | 0.110872 | − | 0.0159410i | ||||
\(281\) | 494572. | − | 1.68436e6i | 0.373649 | − | 1.27253i | −0.531363 | − | 0.847144i | \(-0.678320\pi\) |
0.905012 | − | 0.425387i | \(-0.139862\pi\) | |||||||
\(282\) | −37217.3 | + | 32249.0i | −0.0278690 | + | 0.0241487i | ||||
\(283\) | 1.59924e6 | + | 469581.i | 1.18699 | + | 0.348533i | 0.814867 | − | 0.579648i | \(-0.196810\pi\) |
0.372128 | + | 0.928181i | \(0.378628\pi\) | |||||||
\(284\) | 81312.9 | − | 93840.1i | 0.0598224 | − | 0.0690387i | ||||
\(285\) | −1.62360e6 | − | 1.04342e6i | −1.18404 | − | 0.760938i | ||||
\(286\) | −5434.10 | − | 18506.8i | −0.00392837 | − | 0.0133788i | ||||
\(287\) | −205370. | − | 449698.i | −0.147175 | − | 0.322267i | ||||
\(288\) | −97965.5 | − | 113058.i | −0.0695972 | − | 0.0803195i | ||||
\(289\) | −76165.9 | − | 529745.i | −0.0536434 | − | 0.373098i | ||||
\(290\) | 9546.92 | + | 32513.8i | 0.00666604 | + | 0.0227025i | ||||
\(291\) | 616904. | − | 534550.i | 0.427056 | − | 0.370046i | ||||
\(292\) | −132058. | + | 289166.i | −0.0906374 | + | 0.198468i | ||||
\(293\) | 166477. | + | 144253.i | 0.113288 | + | 0.0981648i | 0.709663 | − | 0.704541i | \(-0.248847\pi\) |
−0.596375 | + | 0.802706i | \(0.703393\pi\) | |||||||
\(294\) | 25495.2 | − | 11643.3i | 0.0172024 | − | 0.00785608i | ||||
\(295\) | −2.15683e6 | + | 984990.i | −1.44298 | + | 0.658987i | ||||
\(296\) | −153259. | − | 238475.i | −0.101671 | − | 0.158203i | ||||
\(297\) | 1.16317e6 | + | 167238.i | 0.765158 | + | 0.110013i | ||||
\(298\) | 21210.9 | − | 72237.8i | 0.0138363 | − | 0.0471220i | ||||
\(299\) | 47659.4 | + | 104360.i | 0.0308298 | + | 0.0675079i | ||||
\(300\) | −1.07406e6 | − | 490507.i | −0.689011 | − | 0.314661i | ||||
\(301\) | 756626. | 0.481354 | ||||||||
\(302\) | −12068.9 | − | 5511.70i | −0.00761468 | − | 0.00347751i | ||||
\(303\) | 210365. | + | 1.46312e6i | 0.131634 | + | 0.915533i | ||||
\(304\) | − | 1.37850e6i | − | 0.855508i | ||||||
\(305\) | −813372. | + | 1.26563e6i | −0.500656 | + | 0.779036i | ||||
\(306\) | 65571.8 | − | 19253.6i | 0.0400326 | − | 0.0117546i | ||||
\(307\) | 585882. | − | 1.28290e6i | 0.354784 | − | 0.776869i | −0.645134 | − | 0.764070i | \(-0.723198\pi\) |
0.999918 | − | 0.0127995i | \(-0.00407431\pi\) | |||||||
\(308\) | 2.58902e6 | + | 372245.i | 1.55510 | + | 0.223590i | ||||
\(309\) | −129030. | + | 897421.i | −0.0768764 | + | 0.534687i | ||||
\(310\) | −96182.0 | + | 149662.i | −0.0568446 | + | 0.0884520i | ||||
\(311\) | 234043. | − | 270100.i | 0.137213 | − | 0.158352i | −0.682984 | − | 0.730433i | \(-0.739318\pi\) |
0.820197 | + | 0.572081i | \(0.193864\pi\) | |||||||
\(312\) | 21903.0 | − | 25277.4i | 0.0127385 | − | 0.0147010i | ||||
\(313\) | −348677. | + | 542553.i | −0.201170 | + | 0.313026i | −0.927151 | − | 0.374688i | \(-0.877750\pi\) |
0.725981 | + | 0.687715i | \(0.241386\pi\) | |||||||
\(314\) | 10114.4 | − | 70347.0i | 0.00578915 | − | 0.0402644i | ||||
\(315\) | 1.26490e6 | + | 181865.i | 0.718256 | + | 0.103270i | ||||
\(316\) | −897171. | + | 1.96453e6i | −0.505426 | + | 1.10673i | ||||
\(317\) | −1.42511e6 | + | 418450.i | −0.796526 | + | 0.233881i | −0.654579 | − | 0.755993i | \(-0.727154\pi\) |
−0.141947 | + | 0.989874i | \(0.545336\pi\) | |||||||
\(318\) | −84774.2 | + | 131911.i | −0.0470106 | + | 0.0731500i | ||||
\(319\) | 1.20801e6i | 0.664652i | ||||||||
\(320\) | −322935. | − | 2.24606e6i | −0.176295 | − | 1.22616i | ||||
\(321\) | 422933. | + | 193147.i | 0.229091 | + | 0.104623i | ||||
\(322\) | 42872.3 | 0.0230429 | ||||||||
\(323\) | 1.72641e6 | + | 788426.i | 0.920743 | + | 0.420489i | ||||
\(324\) | 953620. | + | 2.08814e6i | 0.504676 | + | 1.10509i | ||||
\(325\) | 45108.9 | − | 153627.i | 0.0236894 | − | 0.0806786i | ||||
\(326\) | 157040. | + | 22579.0i | 0.0818403 | + | 0.0117669i | ||||
\(327\) | −1.67177e6 | − | 2.60132e6i | −0.864583 | − | 1.34532i | ||||
\(328\) | 77396.3 | − | 35345.7i | 0.0397224 | − | 0.0181406i | ||||
\(329\) | 823725. | − | 376183.i | 0.419559 | − | 0.191606i | ||||
\(330\) | 237176. | + | 205514.i | 0.119891 | + | 0.103886i | ||||
\(331\) | −350550. | + | 767597.i | −0.175865 | + | 0.385091i | −0.976953 | − | 0.213456i | \(-0.931528\pi\) |
0.801087 | + | 0.598547i | \(0.204255\pi\) | |||||||
\(332\) | 1.64210e6 | − | 1.42289e6i | 0.817624 | − | 0.708475i | ||||
\(333\) | −694529. | − | 2.36535e6i | −0.343226 | − | 1.16892i | ||||
\(334\) | −11229.5 | − | 78103.0i | −0.00550801 | − | 0.0383091i | ||||
\(335\) | 2.28644e6 | + | 2.63869e6i | 1.11314 | + | 1.28463i | ||||
\(336\) | 938201. | + | 2.05437e6i | 0.453365 | + | 0.992731i | ||||
\(337\) | 150333. | + | 511987.i | 0.0721074 | + | 0.245575i | 0.987658 | − | 0.156629i | \(-0.0500626\pi\) |
−0.915550 | + | 0.402204i | \(0.868244\pi\) | |||||||
\(338\) | −90720.7 | − | 58302.7i | −0.0431931 | − | 0.0277585i | ||||
\(339\) | 791909. | − | 913912.i | 0.374262 | − | 0.431922i | ||||
\(340\) | 3.01435e6 | + | 885094.i | 1.41415 | + | 0.415233i | ||||
\(341\) | −4.79301e6 | + | 4.15316e6i | −2.23214 | + | 1.93416i | ||||
\(342\) | −18691.0 | + | 63655.8i | −0.00864108 | + | 0.0294288i | ||||
\(343\) | −2.34212e6 | + | 336747.i | −1.07492 | + | 0.154550i | ||||
\(344\) | 130221.i | 0.0593313i | ||||||||
\(345\) | −1.57035e6 | − | 1.00920e6i | −0.710310 | − | 0.456489i | ||||
\(346\) | −205846. | − | 60441.9i | −0.0924384 | − | 0.0271424i | ||||
\(347\) | 3.48849e6 | − | 1.02431e6i | 1.55530 | − | 0.456677i | 0.612621 | − | 0.790377i | \(-0.290115\pi\) |
0.942679 | + | 0.333700i | \(0.108297\pi\) | |||||||
\(348\) | −879903. | + | 565479.i | −0.389481 | + | 0.250305i | ||||
\(349\) | 1.36946e6 | + | 2.13092e6i | 0.601847 | + | 0.936491i | 0.999818 | + | 0.0190936i | \(0.00607804\pi\) |
−0.397971 | + | 0.917398i | \(0.630286\pi\) | |||||||
\(350\) | −45218.2 | − | 39181.8i | −0.0197307 | − | 0.0170968i | ||||
\(351\) | −116068. | + | 74592.1i | −0.0502855 | + | 0.0323165i | ||||
\(352\) | −96143.2 | + | 668690.i | −0.0413582 | + | 0.287653i | ||||
\(353\) | 3.79522e6 | − | 545670.i | 1.62106 | − | 0.233074i | 0.728845 | − | 0.684678i | \(-0.240057\pi\) |
0.892218 | + | 0.451605i | \(0.149148\pi\) | |||||||
\(354\) | 132069. | + | 152416.i | 0.0560137 | + | 0.0646432i | ||||
\(355\) | −273952. | −0.115373 | ||||||||
\(356\) | 291461. | − | 2.36680e6i | 0.121886 | − | 0.989775i | ||||
\(357\) | −3.10946e6 | −1.29126 | ||||||||
\(358\) | 95509.1 | + | 110223.i | 0.0393856 | + | 0.0454534i | ||||
\(359\) | −1.29269e6 | + | 185861.i | −0.529370 | + | 0.0761119i | −0.401817 | − | 0.915720i | \(-0.631621\pi\) |
−0.127553 | + | 0.991832i | \(0.540712\pi\) | |||||||
\(360\) | −31300.2 | + | 217698.i | −0.0127289 | + | 0.0885316i | ||||
\(361\) | 533045. | − | 342567.i | 0.215276 | − | 0.138350i | ||||
\(362\) | −34307.3 | − | 29727.4i | −0.0137599 | − | 0.0119230i | ||||
\(363\) | 4.29013e6 | + | 6.67557e6i | 1.70885 | + | 2.65902i | ||||
\(364\) | −258347. | + | 166030.i | −0.102200 | + | 0.0656799i | ||||
\(365\) | 672958. | − | 197598.i | 0.264396 | − | 0.0776338i | ||||
\(366\) | 122779. | + | 36051.3i | 0.0479097 | + | 0.0140675i | ||||
\(367\) | 2.15023e6 | + | 1.38187e6i | 0.833335 | + | 0.535552i | 0.886336 | − | 0.463042i | \(-0.153242\pi\) |
−0.0530007 | + | 0.998594i | \(0.516879\pi\) | |||||||
\(368\) | − | 1.33329e6i | − | 0.513222i | ||||||
\(369\) | 732399. | − | 105303.i | 0.280016 | − | 0.0402602i | ||||
\(370\) | −87981.1 | + | 299636.i | −0.0334107 | + | 0.113786i | ||||
\(371\) | 2.17913e6 | − | 1.88823e6i | 0.821955 | − | 0.712228i | ||||
\(372\) | −5.26876e6 | − | 1.54705e6i | −1.97402 | − | 0.579624i | ||||
\(373\) | 1.71139e6 | − | 1.97505e6i | 0.636910 | − | 0.735033i | −0.341916 | − | 0.939731i | \(-0.611076\pi\) |
0.978825 | + | 0.204698i | \(0.0656212\pi\) | |||||||
\(374\) | −259625. | − | 166851.i | −0.0959769 | − | 0.0616806i | ||||
\(375\) | −517867. | − | 1.76369e6i | −0.190169 | − | 0.647657i | ||||
\(376\) | 64743.8 | + | 141769.i | 0.0236172 | + | 0.0517144i | ||||
\(377\) | −92879.2 | − | 107188.i | −0.0336562 | − | 0.0388413i | ||||
\(378\) | 7337.43 | + | 51033.0i | 0.00264128 | + | 0.0183705i | ||||
\(379\) | 70297.8 | + | 239412.i | 0.0251388 | + | 0.0856147i | 0.971107 | − | 0.238645i | \(-0.0767031\pi\) |
−0.945968 | + | 0.324259i | \(0.894885\pi\) | |||||||
\(380\) | −2.30490e6 | + | 1.99720e6i | −0.818827 | + | 0.709518i | ||||
\(381\) | −1.00888e6 | + | 2.20914e6i | −0.356063 | + | 0.779669i | ||||
\(382\) | 22381.7 | + | 19393.8i | 0.00784754 | + | 0.00679993i | ||||
\(383\) | 410219. | − | 187341.i | 0.142896 | − | 0.0652582i | −0.342684 | − | 0.939451i | \(-0.611336\pi\) |
0.485579 | + | 0.874193i | \(0.338609\pi\) | |||||||
\(384\) | −709102. | + | 323836.i | −0.245403 | + | 0.112072i | ||||
\(385\) | −3.11998e6 | − | 4.85478e6i | −1.07275 | − | 1.66924i | ||||
\(386\) | −125373. | − | 18025.9i | −0.0428288 | − | 0.00615786i | ||||
\(387\) | −319047. | + | 1.08657e6i | −0.108287 | + | 0.368792i | ||||
\(388\) | −535849. | − | 1.17335e6i | −0.180702 | − | 0.395683i | ||||
\(389\) | −3.15842e6 | − | 1.44240e6i | −1.05827 | − | 0.483295i | −0.191235 | − | 0.981544i | \(-0.561249\pi\) |
−0.867034 | + | 0.498249i | \(0.833976\pi\) | |||||||
\(390\) | −36846.0 | −0.0122667 | ||||||||
\(391\) | 1.66979e6 | + | 762567.i | 0.552356 | + | 0.252253i | ||||
\(392\) | −12623.8 | − | 87800.7i | −0.00414931 | − | 0.0288591i | ||||
\(393\) | − | 7.32814e6i | − | 2.39338i | ||||||
\(394\) | −14609.8 | + | 22733.3i | −0.00474137 | + | 0.00737771i | ||||
\(395\) | 4.57192e6 | − | 1.34244e6i | 1.47437 | − | 0.432913i | ||||
\(396\) | −1.62629e6 | + | 3.56107e6i | −0.521145 | + | 1.14115i | ||||
\(397\) | −2.77468e6 | − | 398938.i | −0.883560 | − | 0.127037i | −0.314426 | − | 0.949282i | \(-0.601812\pi\) |
−0.569134 | + | 0.822245i | \(0.692721\pi\) | |||||||
\(398\) | 27771.7 | − | 193156.i | 0.00878809 | − | 0.0611225i | ||||
\(399\) | 1.63198e6 | − | 2.53941e6i | 0.513195 | − | 0.798547i | ||||
\(400\) | −1.21852e6 | + | 1.40624e6i | −0.380787 | + | 0.439451i | ||||
\(401\) | 512670. | − | 591653.i | 0.159212 | − | 0.183741i | −0.670539 | − | 0.741875i | \(-0.733937\pi\) |
0.829751 | + | 0.558134i | \(0.188482\pi\) | |||||||
\(402\) | 160555. | − | 249828.i | 0.0495517 | − | 0.0771039i | ||||
\(403\) | 105969. | − | 737030.i | 0.0325024 | − | 0.226059i | ||||
\(404\) | 2.31207e6 | + | 332426.i | 0.704771 | + | 0.101331i | ||||
\(405\) | 2.10397e6 | − | 4.60705e6i | 0.637385 | − | 1.39568i | ||||
\(406\) | −50853.6 | + | 14932.0i | −0.0153111 | + | 0.00449574i | ||||
\(407\) | −6.01875e6 | + | 9.36535e6i | −1.80103 | + | 2.80245i | ||||
\(408\) | − | 535160.i | − | 0.159160i | ||||||
\(409\) | 529707. | + | 3.68419e6i | 0.156577 | + | 1.08902i | 0.904882 | + | 0.425662i | \(0.139959\pi\) |
−0.748305 | + | 0.663354i | \(0.769132\pi\) | |||||||
\(410\) | −85262.1 | − | 38937.9i | −0.0250493 | − | 0.0114396i | ||||
\(411\) | −6.04356e6 | −1.76477 | ||||||||
\(412\) | 1.30324e6 | + | 595172.i | 0.378254 | + | 0.172743i | ||||
\(413\) | −1.54058e6 | − | 3.37341e6i | −0.444437 | − | 0.973181i | ||||
\(414\) | −18078.0 | + | 61567.9i | −0.00518381 | + | 0.0176544i | ||||
\(415\) | −4.74506e6 | − | 682236.i | −1.35245 | − | 0.194453i | ||||
\(416\) | −42882.0 | − | 66725.7i | −0.0121490 | − | 0.0189043i | ||||
\(417\) | 7.39054e6 | − | 3.37515e6i | 2.08131 | − | 0.950501i | ||||
\(418\) | 272525. | − | 124458.i | 0.0762895 | − | 0.0348403i | ||||
\(419\) | −1.26306e6 | − | 1.09445e6i | −0.351471 | − | 0.304551i | 0.461175 | − | 0.887309i | \(-0.347428\pi\) |
−0.812646 | + | 0.582758i | \(0.801973\pi\) | |||||||
\(420\) | 2.07569e6 | − | 4.54512e6i | 0.574167 | − | 1.25725i | ||||
\(421\) | −1.09514e6 | + | 948948.i | −0.301138 | + | 0.260938i | −0.792302 | − | 0.610130i | \(-0.791117\pi\) |
0.491163 | + | 0.871068i | \(0.336572\pi\) | |||||||
\(422\) | −7708.12 | − | 26251.4i | −0.00210701 | − | 0.00717583i | ||||
\(423\) | 192887. | + | 1.34156e6i | 0.0524145 | + | 0.364551i | ||||
\(424\) | 324977. | + | 375044.i | 0.0877886 | + | 0.101314i | ||||
\(425\) | −1.06423e6 | − | 2.33034e6i | −0.285801 | − | 0.625817i | ||||
\(426\) | 6564.70 | + | 22357.3i | 0.00175263 | + | 0.00596892i | ||||
\(427\) | −1.97952e6 | − | 1.27216e6i | −0.525401 | − | 0.337655i | ||||
\(428\) | 481145. | − | 555271.i | 0.126960 | − | 0.146519i | ||||
\(429\) | −1.26031e6 | − | 370061.i | −0.330624 | − | 0.0970800i | ||||
\(430\) | 108416. | − | 93943.1i | 0.0282763 | − | 0.0245016i | ||||
\(431\) | 666910. | − | 2.27129e6i | 0.172931 | − | 0.588950i | −0.826722 | − | 0.562611i | \(-0.809797\pi\) |
0.999653 | − | 0.0263391i | \(-0.00838498\pi\) | |||||||
\(432\) | 1.58708e6 | − | 228188.i | 0.409156 | − | 0.0588278i | ||||
\(433\) | − | 4.21721e6i | − | 1.08095i | −0.841360 | − | 0.540474i | \(-0.818245\pi\) | ||
0.841360 | − | 0.540474i | \(-0.181755\pi\) | |||||||
\(434\) | −234081. | − | 150434.i | −0.0596542 | − | 0.0383374i | ||||
\(435\) | 2.21418e6 | + | 650143.i | 0.561036 | + | 0.164735i | ||||
\(436\) | −4.68846e6 | + | 1.37666e6i | −1.18117 | + | 0.346824i | ||||
\(437\) | −1.49914e6 | + | 963441.i | −0.375526 | + | 0.241336i | ||||
\(438\) | −32252.1 | − | 50185.3i | −0.00803291 | − | 0.0124995i | ||||
\(439\) | 4.78880e6 | + | 4.14951e6i | 1.18595 | + | 1.02763i | 0.998975 | + | 0.0452628i | \(0.0144125\pi\) |
0.186971 | + | 0.982365i | \(0.440133\pi\) | |||||||
\(440\) | 835542. | − | 536970.i | 0.205749 | − | 0.132227i | ||||
\(441\) | 109781. | − | 763545.i | 0.0268801 | − | 0.186955i | ||||
\(442\) | 35865.3 | − | 5156.65i | 0.00873210 | − | 0.00125549i | ||||
\(443\) | −668398. | − | 771372.i | −0.161818 | − | 0.186747i | 0.669050 | − | 0.743217i | \(-0.266701\pi\) |
−0.830868 | + | 0.556470i | \(0.812156\pi\) | |||||||
\(444\) | −9.63905e6 | −2.32047 | ||||||||
\(445\) | −4.36753e6 | + | 2.93361e6i | −1.04553 | + | 0.702267i | ||||
\(446\) | 47371.1 | 0.0112766 | ||||||||
\(447\) | −3.35751e6 | − | 3.87477e6i | −0.794782 | − | 0.917228i | ||||
\(448\) | 3.51297e6 | − | 505089.i | 0.826951 | − | 0.118898i | ||||
\(449\) | −688436. | + | 4.78818e6i | −0.161156 | + | 1.12087i | 0.735302 | + | 0.677740i | \(0.237040\pi\) |
−0.896458 | + | 0.443128i | \(0.853869\pi\) | |||||||
\(450\) | 75335.2 | − | 48415.0i | 0.0175375 | − | 0.0112706i | ||||
\(451\) | −2.52530e6 | − | 2.18818e6i | −0.584617 | − | 0.506574i | ||||
\(452\) | −1.03313e6 | − | 1.60759e6i | −0.237854 | − | 0.370108i | ||||
\(453\) | −760109. | + | 488492.i | −0.174032 | + | 0.111844i | ||||
\(454\) | −150141. | + | 44085.3i | −0.0341868 | + | 0.0100382i | ||||
\(455\) | 650104. | + | 190888.i | 0.147216 | + | 0.0432264i | ||||
\(456\) | 437051. | + | 280875.i | 0.0984282 | + | 0.0632560i | ||||
\(457\) | − | 8.65728e6i | − | 1.93906i | −0.244973 | − | 0.969530i | \(-0.578779\pi\) | ||
0.244973 | − | 0.969530i | \(-0.421221\pi\) | |||||||
\(458\) | −50950.4 | + | 7325.56i | −0.0113497 | + | 0.00163184i | ||||
\(459\) | −621942. | + | 2.11814e6i | −0.137790 | + | 0.469270i | ||||
\(460\) | −2.22930e6 | + | 1.93170e6i | −0.491217 | + | 0.425642i | ||||
\(461\) | 535975. | + | 157376.i | 0.117461 | + | 0.0344895i | 0.339935 | − | 0.940449i | \(-0.389595\pi\) |
−0.222474 | + | 0.974939i | \(0.571413\pi\) | |||||||
\(462\) | −321436. | + | 370957.i | −0.0700632 | + | 0.0808573i | ||||
\(463\) | 7.36540e6 | + | 4.73345e6i | 1.59677 | + | 1.02618i | 0.968765 | + | 0.247979i | \(0.0797665\pi\) |
0.628010 | + | 0.778206i | \(0.283870\pi\) | |||||||
\(464\) | 464370. | + | 1.58150e6i | 0.100131 | + | 0.341016i | ||||
\(465\) | 5.03284e6 | + | 1.10204e7i | 1.07939 | + | 2.36355i | ||||
\(466\) | −114552. | − | 132200.i | −0.0244365 | − | 0.0282012i | ||||
\(467\) | 583350. | + | 4.05729e6i | 0.123776 | + | 0.860882i | 0.953217 | + | 0.302287i | \(0.0977502\pi\) |
−0.829441 | + | 0.558595i | \(0.811341\pi\) | |||||||
\(468\) | −129494. | − | 441016.i | −0.0273297 | − | 0.0930765i | ||||
\(469\) | −4.12708e6 | + | 3.57613e6i | −0.866384 | + | 0.750726i | ||||
\(470\) | 71323.7 | − | 156177.i | 0.0148932 | − | 0.0326116i | ||||
\(471\) | −3.65773e6 | − | 3.16944e6i | −0.759731 | − | 0.658311i | ||||
\(472\) | 580588. | − | 265146.i | 0.119954 | − | 0.0547809i | ||||
\(473\) | 4.65186e6 | − | 2.12443e6i | 0.956035 | − | 0.436607i | ||||
\(474\) | −219114. | − | 340947.i | −0.0447944 | − | 0.0697014i | ||||
\(475\) | 2.46168e6 | + | 353936.i | 0.500608 | + | 0.0719765i | ||||
\(476\) | −1.38434e6 | + | 4.71463e6i | −0.280043 | + | 0.953741i | ||||
\(477\) | 1.79276e6 | + | 3.92560e6i | 0.360767 | + | 0.789970i | ||||
\(478\) | −231814. | − | 105866.i | −0.0464055 | − | 0.0211927i | ||||
\(479\) | 5.58136e6 | 1.11148 | 0.555740 | − | 0.831356i | \(-0.312435\pi\) | ||||
0.555740 | + | 0.831356i | \(0.312435\pi\) | |||||||
\(480\) | 1.17391e6 | + | 536106.i | 0.232558 | + | 0.106206i | ||||
\(481\) | −186014. | − | 1.29376e6i | −0.0366592 | − | 0.254970i | ||||
\(482\) | − | 307347.i | − | 0.0602575i | ||||||
\(483\) | 1.57845e6 | − | 2.45612e6i | 0.307867 | − | 0.479051i | ||||
\(484\) | 1.20316e7 | − | 3.53280e6i | 2.33459 | − | 0.685498i | ||||
\(485\) | −1.18224e6 | + | 2.58875e6i | −0.228219 | + | 0.499730i | ||||
\(486\) | −313788. | − | 45115.9i | −0.0602623 | − | 0.00866441i | ||||
\(487\) | −43929.3 | + | 305535.i | −0.00839329 | + | 0.0583766i | −0.993588 | − | 0.113065i | \(-0.963933\pi\) |
0.985194 | + | 0.171441i | \(0.0548424\pi\) | |||||||
\(488\) | 218948. | − | 340690.i | 0.0416191 | − | 0.0647605i | ||||
\(489\) | 7.07536e6 | − | 8.16541e6i | 1.33806 | − | 1.54421i | ||||
\(490\) | −63992.0 | + | 73850.7i | −0.0120403 | + | 0.0138952i | ||||
\(491\) | −3.54429e6 | + | 5.51502e6i | −0.663476 | + | 1.03239i | 0.332530 | + | 0.943093i | \(0.392098\pi\) |
−0.996005 | + | 0.0892954i | \(0.971538\pi\) | |||||||
\(492\) | 411739. | − | 2.86371e6i | 0.0766848 | − | 0.533355i | ||||
\(493\) | −2.24623e6 | − | 322960.i | −0.416234 | − | 0.0598454i | ||||
\(494\) | −14612.4 | + | 31996.6i | −0.00269403 | + | 0.00589911i | ||||
\(495\) | 8.28743e6 | − | 2.43341e6i | 1.52022 | − | 0.446378i | ||||
\(496\) | −4.67837e6 | + | 7.27969e6i | −0.853868 | + | 1.32864i | ||||
\(497\) | − | 428477.i | − | 0.0778102i | ||||||
\(498\) | 58028.1 | + | 403594.i | 0.0104849 | + | 0.0729242i | ||||
\(499\) | 5.34190e6 | + | 2.43956e6i | 0.960383 | + | 0.438592i | 0.833007 | − | 0.553262i | \(-0.186617\pi\) |
0.127376 | + | 0.991855i | \(0.459345\pi\) | |||||||
\(500\) | −2.90471e6 | −0.519610 | ||||||||
\(501\) | −4.88790e6 | − | 2.23223e6i | −0.870017 | − | 0.397323i | ||||
\(502\) | 235729. | + | 516176.i | 0.0417498 | + | 0.0914194i | ||||
\(503\) | 2.01352e6 | − | 6.85742e6i | 0.354843 | − | 1.20848i | −0.567909 | − | 0.823091i | \(-0.692248\pi\) |
0.922752 | − | 0.385393i | \(-0.125934\pi\) | |||||||
\(504\) | −340493. | − | 48955.5i | −0.0597079 | − | 0.00858470i | ||||
\(505\) | −2.78623e6 | − | 4.33546e6i | −0.486171 | − | 0.756497i | ||||
\(506\) | 263586. | − | 120376.i | 0.0457663 | − | 0.0209008i | ||||
\(507\) | −6.68022e6 | + | 3.05075e6i | −1.15417 | + | 0.527093i | ||||
\(508\) | 2.90039e6 | + | 2.51320e6i | 0.498651 | + | 0.432083i | ||||
\(509\) | 2.58545e6 | − | 5.66134e6i | 0.442324 | − | 0.968555i | −0.548841 | − | 0.835927i | \(-0.684931\pi\) |
0.991166 | − | 0.132629i | \(-0.0423418\pi\) | |||||||
\(510\) | −445551. | + | 386072.i | −0.0758529 | + | 0.0657269i | ||||
\(511\) | 309055. | + | 1.05255e6i | 0.0523581 | + | 0.178315i | ||||
\(512\) | 218838. | + | 1.52205e6i | 0.0368933 | + | 0.256598i | ||||
\(513\) | −1.40340e6 | − | 1.61961e6i | −0.235445 | − | 0.271718i | ||||
\(514\) | −171104. | − | 374666.i | −0.0285663 | − | 0.0625514i | ||||
\(515\) | −890556. | − | 3.03295e6i | −0.147960 | − | 0.503904i | ||||
\(516\) | 3.72499e6 | + | 2.39390e6i | 0.615886 | + | 0.395806i | ||||
\(517\) | 4.00816e6 | − | 4.62567e6i | 0.659506 | − | 0.761111i | ||||
\(518\) | −468649. | − | 137608.i | −0.0767402 | − | 0.0225330i | ||||
\(519\) | −1.10414e7 | + | 9.56744e6i | −1.79931 | + | 1.55911i | ||||
\(520\) | −32853.1 | + | 111888.i | −0.00532805 | + | 0.0181457i | ||||
\(521\) | −6.81480e6 | + | 979821.i | −1.09991 | + | 0.158144i | −0.668284 | − | 0.743907i | \(-0.732971\pi\) |
−0.431631 | + | 0.902050i | \(0.642062\pi\) | |||||||
\(522\) | − | 79326.0i | − | 0.0127420i | ||||||
\(523\) | 5.47930e6 | + | 3.52133e6i | 0.875934 | + | 0.562928i | 0.899562 | − | 0.436792i | \(-0.143886\pi\) |
−0.0236287 | + | 0.999721i | \(0.507522\pi\) | |||||||
\(524\) | −1.11111e7 | − | 3.26251e6i | −1.76778 | − | 0.519067i | ||||
\(525\) | −3.90951e6 | + | 1.14794e6i | −0.619048 | + | 0.181769i | ||||
\(526\) | −176020. | + | 113121.i | −0.0277394 | + | 0.0178271i | ||||
\(527\) | −6.44119e6 | − | 1.00227e7i | −1.01027 | − | 1.57202i | ||||
\(528\) | 1.15364e7 | + | 9.99638e6i | 1.80089 | + | 1.56048i | ||||
\(529\) | 3.96462e6 | − | 2.54791e6i | 0.615974 | − | 0.395863i | ||||
\(530\) | 77801.9 | − | 541124.i | 0.0120310 | − | 0.0836772i | ||||
\(531\) | 5.49409e6 | − | 789931.i | 0.845589 | − | 0.121577i | ||||
\(532\) | −3.12375e6 | − | 3.60500e6i | −0.478516 | − | 0.552237i | ||||
\(533\) | 392314. | 0.0598157 | ||||||||
\(534\) | 344072. | + | 286138.i | 0.0522151 | + | 0.0434232i | ||||
\(535\) | −1.62103e6 | −0.244853 | ||||||||
\(536\) | −615478. | − | 710300.i | −0.0925339 | − | 0.106790i | ||||
\(537\) | 9.83102e6 | − | 1.41349e6i | 1.47117 | − | 0.211522i | ||||
\(538\) | −26762.4 | + | 186137.i | −0.00398629 | + | 0.0277253i | ||||
\(539\) | −2.93055e6 | + | 1.88335e6i | −0.434487 | + | 0.279228i | ||||
\(540\) | −2.68093e6 | − | 2.32304e6i | −0.395640 | − | 0.342824i | ||||
\(541\) | −2.02701e6 | − | 3.15408e6i | −0.297757 | − | 0.463319i | 0.659850 | − | 0.751398i | \(-0.270620\pi\) |
−0.957607 | + | 0.288079i | \(0.906984\pi\) | |||||||
\(542\) | 461698. | − | 296715.i | 0.0675087 | − | 0.0433852i | ||||
\(543\) | −2.96617e6 | + | 870945.i | −0.431714 | + | 0.126763i | ||||
\(544\) | −1.21769e6 | − | 357546.i | −0.176417 | − | 0.0518006i | ||||
\(545\) | 9.06940e6 | + | 5.82855e6i | 1.30794 | + | 0.840561i | ||||
\(546\) | − | 57629.4i | − | 0.00827299i | ||||||
\(547\) | 2.03502e6 | − | 292592.i | 0.290804 | − | 0.0418114i | 0.00463128 | − | 0.999989i | \(-0.498526\pi\) |
0.286173 | + | 0.958178i | \(0.407617\pi\) | |||||||
\(548\) | −2.69061e6 | + | 9.16338e6i | −0.382736 | + | 1.30348i | ||||
\(549\) | 2.66163e6 | − | 2.30632e6i | 0.376892 | − | 0.326579i | ||||
\(550\) | −388022. | − | 113934.i | −0.0546953 | − | 0.0160600i | ||||
\(551\) | 1.44267e6 | − | 1.66493e6i | 0.202437 | − | 0.233624i | ||||
\(552\) | 422716. | + | 271663.i | 0.0590474 | + | 0.0379475i | ||||
\(553\) | 2.09965e6 | + | 7.15076e6i | 0.291967 | + | 0.994350i | ||||
\(554\) | 239417. | + | 524251.i | 0.0331422 | + | 0.0725713i | ||||
\(555\) | 1.39267e7 | + | 1.60722e7i | 1.91917 | + | 2.21484i | ||||
\(556\) | −1.82718e6 | − | 1.27083e7i | −0.250666 | − | 1.74342i | ||||
\(557\) | 842921. | + | 2.87073e6i | 0.115120 | + | 0.392061i | 0.996814 | − | 0.0797594i | \(-0.0254152\pi\) |
−0.881695 | + | 0.471821i | \(0.843597\pi\) | |||||||
\(558\) | 314740. | − | 272724.i | 0.0427924 | − | 0.0370798i | ||||
\(559\) | −249426. | + | 546167.i | −0.0337607 | + | 0.0739257i | ||||
\(560\) | −5.95082e6 | − | 5.15641e6i | −0.801875 | − | 0.694828i | ||||
\(561\) | −1.91175e7 | + | 8.73065e6i | −2.56462 | + | 1.17122i | ||||
\(562\) | 473529. | − | 216253.i | 0.0632420 | − | 0.0288817i | ||||
\(563\) | −3.06197e6 | − | 4.76451e6i | −0.407126 | − | 0.633501i | 0.575780 | − | 0.817604i | \(-0.304698\pi\) |
−0.982907 | + | 0.184103i | \(0.941062\pi\) | |||||||
\(564\) | 5.24554e6 | + | 754195.i | 0.694372 | + | 0.0998357i | ||||
\(565\) | −1.18781e6 | + | 4.04532e6i | −0.156541 | + | 0.533128i | ||||
\(566\) | 205326. | + | 449601.i | 0.0269403 | + | 0.0589910i | ||||
\(567\) | 7.20570e6 | + | 3.29073e6i | 0.941279 | + | 0.429868i | ||||
\(568\) | 73744.0 | 0.00959082 | ||||||||
\(569\) | 1.38456e7 | + | 6.32309e6i | 1.79280 | + | 0.818745i | 0.966996 | + | 0.254791i | \(0.0820068\pi\) |
0.825806 | + | 0.563954i | \(0.190721\pi\) | |||||||
\(570\) | −81449.9 | − | 566497.i | −0.0105003 | − | 0.0730315i | ||||
\(571\) | − | 1.66071e6i | − | 0.213159i | −0.994304 | − | 0.106580i | \(-0.966010\pi\) | ||
0.994304 | − | 0.106580i | \(-0.0339899\pi\) | |||||||
\(572\) | −1.12219e6 | + | 1.74616e6i | −0.143409 | + | 0.223148i | ||||
\(573\) | 1.93509e6 | − | 568194.i | 0.246215 | − | 0.0722953i | ||||
\(574\) | 60901.2 | − | 133355.i | 0.00771518 | − | 0.0168939i | ||||
\(575\) | 2.38094e6 | + | 342327.i | 0.300316 | + | 0.0431789i | ||||
\(576\) | −755969. | + | 5.25788e6i | −0.0949397 | + | 0.660320i | ||||
\(577\) | −587828. | + | 914679.i | −0.0735040 | + | 0.114374i | −0.876060 | − | 0.482203i | \(-0.839837\pi\) |
0.802556 | + | 0.596577i | \(0.203473\pi\) | |||||||
\(578\) | 103932. | − | 119943.i | 0.0129398 | − | 0.0149333i | ||||
\(579\) | −5.64862e6 | + | 6.51885e6i | −0.700238 | + | 0.808118i | ||||
\(580\) | 1.97152e6 | − | 3.06775e6i | 0.243350 | − | 0.378660i | ||||
\(581\) | 1.06706e6 | − | 7.42156e6i | 0.131144 | − | 0.912126i | ||||
\(582\) | 239599. | + | 34449.1i | 0.0293209 | + | 0.00421571i | ||||
\(583\) | 8.09593e6 | − | 1.77276e7i | 0.986497 | − | 2.16013i | ||||
\(584\) | −181151. | + | 53190.7i | −0.0219790 | + | 0.00645362i | ||||
\(585\) | −548259. | + | 853107.i | −0.0662363 | + | 0.103066i | ||||
\(586\) | 65322.7i | 0.00785815i | ||||||||
\(587\) | 1.33136e6 | + | 9.25984e6i | 0.159478 | + | 1.10920i | 0.899597 | + | 0.436720i | \(0.143860\pi\) |
−0.740119 | + | 0.672476i | \(0.765231\pi\) | |||||||
\(588\) | −2.74362e6 | − | 1.25297e6i | −0.327251 | − | 0.149451i | ||||
\(589\) | 1.15659e7 | 1.37369 | ||||||||
\(590\) | −639593. | − | 292092.i | −0.0756439 | − | 0.0345454i | ||||
\(591\) | 764475. | + | 1.67397e6i | 0.0900315 | + | 0.197142i | ||||
\(592\) | −4.27947e6 | + | 1.45746e7i | −0.501864 | + | 1.70919i | ||||
\(593\) | −4.80315e6 | − | 690588.i | −0.560905 | − | 0.0806459i | −0.143969 | − | 0.989582i | \(-0.545987\pi\) |
−0.416935 | + | 0.908936i | \(0.636896\pi\) | |||||||
\(594\) | 188401. | + | 293157.i | 0.0219087 | + | 0.0340906i | ||||
\(595\) | 9.86132e6 | − | 4.50352e6i | 1.14194 | − | 0.521506i | ||||
\(596\) | −7.36979e6 | + | 3.36567e6i | −0.849844 | + | 0.388111i | ||||
\(597\) | −1.00433e7 | − | 8.70255e6i | −1.15329 | − | 0.999335i | ||||
\(598\) | −14133.1 | + | 30947.2i | −0.00161616 | + | 0.00353890i | ||||
\(599\) | 36644.9 | − | 31753.0i | 0.00417299 | − | 0.00361591i | −0.652772 | − | 0.757555i | \(-0.726394\pi\) |
0.656945 | + | 0.753939i | \(0.271848\pi\) | |||||||
\(600\) | −197568. | − | 672855.i | −0.0224047 | − | 0.0763033i | ||||
\(601\) | 220809. | + | 1.53576e6i | 0.0249362 | + | 0.173435i | 0.998484 | − | 0.0550501i | \(-0.0175319\pi\) |
−0.973547 | + | 0.228485i | \(0.926623\pi\) | |||||||
\(602\) | 146933. | + | 169569.i | 0.0165245 | + | 0.0190702i | ||||
\(603\) | −3.39534e6 | − | 7.43475e6i | −0.380268 | − | 0.832670i | ||||
\(604\) | 402260. | + | 1.36997e6i | 0.0448657 | + | 0.152799i | ||||
\(605\) | −2.32741e7 | − | 1.49574e7i | −2.58514 | − | 1.66137i | ||||
\(606\) | −287052. | + | 331276.i | −0.0317526 | + | 0.0366445i | ||||
\(607\) | 1.50216e7 | + | 4.41075e6i | 1.65480 | + | 0.485893i | 0.970054 | − | 0.242888i | \(-0.0780948\pi\) |
0.684746 | + | 0.728782i | \(0.259913\pi\) | |||||||
\(608\) | 931095. | − | 806799.i | 0.102149 | − | 0.0885128i | ||||
\(609\) | −1.01686e6 | + | 3.46312e6i | −0.111101 | + | 0.378376i | ||||
\(610\) | −441596. | + | 63492.0i | −0.0480508 | + | 0.00690867i | ||||
\(611\) | 718612.i | 0.0778739i | ||||||||
\(612\) | −6.18684e6 | − | 3.97604e6i | −0.667713 | − | 0.429113i | ||||
\(613\) | 5.50721e6 | + | 1.61706e6i | 0.591944 | + | 0.173810i | 0.563966 | − | 0.825798i | \(-0.309275\pi\) |
0.0279781 | + | 0.999609i | \(0.491093\pi\) | |||||||
\(614\) | 401290. | − | 117829.i | 0.0429573 | − | 0.0126134i | ||||
\(615\) | −5.36985e6 | + | 3.45100e6i | −0.572499 | + | 0.367923i | ||||
\(616\) | 839854. | + | 1.30684e6i | 0.0891768 | + | 0.138762i | ||||
\(617\) | 8.77954e6 | + | 7.60752e6i | 0.928451 | + | 0.804507i | 0.980979 | − | 0.194112i | \(-0.0621826\pi\) |
−0.0525285 | + | 0.998619i | \(0.516728\pi\) | |||||||
\(618\) | −226180. | + | 145357.i | −0.0238223 | + | 0.0153096i | ||||
\(619\) | 676050. | − | 4.70203e6i | 0.0709173 | − | 0.493241i | −0.923147 | − | 0.384447i | \(-0.874392\pi\) |
0.994064 | − | 0.108794i | \(-0.0346988\pi\) | |||||||
\(620\) | 1.89500e7 | − | 2.72459e6i | 1.97984 | − | 0.284657i | ||||
\(621\) | −1.35737e6 | − | 1.56649e6i | −0.141244 | − | 0.163004i | ||||
\(622\) | 105983. | 0.0109840 | ||||||||
\(623\) | −4.58834e6 | − | 6.83107e6i | −0.473626 | − | 0.705130i | ||||
\(624\) | −1.79222e6 | −0.184260 | ||||||||
\(625\) | 7.94627e6 | + | 9.17048e6i | 0.813698 | + | 0.939058i | ||||
\(626\) | −189304. | + | 27217.8i | −0.0193074 | + | 0.00277599i | ||||
\(627\) | 2.90359e6 | − | 2.01949e7i | 0.294963 | − | 2.05151i | ||||
\(628\) | −6.43402e6 | + | 4.13489e6i | −0.651003 | + | 0.418374i | ||||
\(629\) | −1.58053e7 | − | 1.36954e7i | −1.59285 | − | 1.38021i | ||||
\(630\) | 204878. | + | 318797.i | 0.0205657 | + | 0.0320009i | ||||
\(631\) | −1.41387e7 | + | 9.08637e6i | −1.41363 | + | 0.908483i | −0.999998 | − | 0.00196203i | \(-0.999375\pi\) |
−0.413629 | + | 0.910445i | \(0.635739\pi\) | |||||||
\(632\) | −1.23070e6 | + | 361365.i | −0.122563 | + | 0.0359877i | ||||
\(633\) | −1.78772e6 | − | 524921.i | −0.177333 | − | 0.0520697i | ||||
\(634\) | −370528. | − | 238124.i | −0.0366099 | − | 0.0235277i | ||||
\(635\) | − | 8.46723e6i | − | 0.833311i | ||||||
\(636\) | 1.67024e7 | − | 2.40144e6i | 1.63733 | − | 0.235412i | ||||
\(637\) | 115228. | − | 392430.i | 0.0112515 | − | 0.0383189i | ||||
\(638\) | −270731. | + | 234589.i | −0.0263321 | + | 0.0228169i | ||||
\(639\) | 615326. | + | 180676.i | 0.0596147 | + | 0.0175044i | ||||
\(640\) | 1.77982e6 | − | 2.05402e6i | 0.171762 | − | 0.198224i | ||||
\(641\) | −1.48609e7 | − | 9.55055e6i | −1.42857 | − | 0.918085i | −0.999893 | − | 0.0146270i | \(-0.995344\pi\) |
−0.428676 | − | 0.903458i | \(-0.641020\pi\) | |||||||
\(642\) | 38844.6 | + | 132293.i | 0.00371958 | + | 0.0126677i | ||||
\(643\) | 4.56539e6 | + | 9.99681e6i | 0.435462 | + | 0.953529i | 0.992409 | + | 0.122981i | \(0.0392454\pi\) |
−0.556947 | + | 0.830548i | \(0.688027\pi\) | |||||||
\(644\) | −3.02129e6 | − | 3.48675e6i | −0.287063 | − | 0.331289i | ||||
\(645\) | −1.39031e6 | − | 9.66982e6i | −0.131587 | − | 0.915207i | ||||
\(646\) | 158564. | + | 540019.i | 0.0149494 | + | 0.0509129i | ||||
\(647\) | −5.22402e6 | + | 4.52664e6i | −0.490619 | + | 0.425124i | −0.864712 | − | 0.502267i | \(-0.832499\pi\) |
0.374094 | + | 0.927391i | \(0.377954\pi\) | |||||||
\(648\) | −566359. | + | 1.24015e6i | −0.0529852 | + | 0.116021i | ||||
\(649\) | −1.89435e7 | − | 1.64147e7i | −1.76542 | − | 1.52975i | ||||
\(650\) | 43189.6 | − | 19724.0i | 0.00400955 | − | 0.00183110i | ||||
\(651\) | −1.72365e7 | + | 7.87166e6i | −1.59403 | + | 0.727970i | ||||
\(652\) | −9.23060e6 | − | 1.43631e7i | −0.850375 | − | 1.32321i | ||||
\(653\) | −2.22429e6 | − | 319804.i | −0.204131 | − | 0.0293495i | 0.0394909 | − | 0.999220i | \(-0.487426\pi\) |
−0.243622 | + | 0.969870i | \(0.578335\pi\) | |||||||
\(654\) | 258340. | − | 879827.i | 0.0236183 | − | 0.0804364i | ||||
\(655\) | 1.06135e7 | + | 2.32404e7i | 0.966623 | + | 2.11661i | ||||
\(656\) | −4.14722e6 | − | 1.89397e6i | −0.376268 | − | 0.171836i | ||||
\(657\) | −1.64186e6 | −0.148396 | ||||||||
\(658\) | 244270. | + | 111555.i | 0.0219941 | + | 0.0100444i | ||||
\(659\) | −3.02055e6 | − | 2.10084e7i | −0.270940 | − | 1.88443i | −0.438752 | − | 0.898608i | \(-0.644579\pi\) |
0.167812 | − | 0.985819i | \(-0.446330\pi\) | |||||||
\(660\) | − | 3.37722e7i | − | 3.01786i | ||||||
\(661\) | −9.81168e6 | + | 1.52673e7i | −0.873453 | + | 1.35912i | 0.0591626 | + | 0.998248i | \(0.481157\pi\) |
−0.932616 | + | 0.360871i | \(0.882479\pi\) | |||||||
\(662\) | −240103. | + | 70500.6i | −0.0212938 | + | 0.00625242i | ||||
\(663\) | 1.02505e6 | − | 2.24455e6i | 0.0905652 | − | 0.198310i | ||||
\(664\) | 1.27730e6 | + | 183648.i | 0.112428 | + | 0.0161647i | ||||
\(665\) | −1.49775e6 | + | 1.04171e7i | −0.131337 | + | 0.913468i | ||||
\(666\) | 395230. | − | 614991.i | 0.0345275 | − | 0.0537258i | ||||
\(667\) | 1.39536e6 | − | 1.61033e6i | 0.121442 | − | 0.140152i | ||||
\(668\) | −5.56066e6 | + | 6.41734e6i | −0.482153 | + | 0.556435i | ||||
\(669\) | 1.74409e6 | − | 2.71385e6i | 0.150662 | − | 0.234434i | ||||
\(670\) | −147350. | + | 1.02484e6i | −0.0126813 | + | 0.0882002i | ||||
\(671\) | −1.57424e7 | − | 2.26341e6i | −1.34978 | − | 0.194070i | ||||
\(672\) | −838503. | + | 1.83606e6i | −0.0716277 | + | 0.156843i | ||||
\(673\) | 3.30001e6 | − | 968970.i | 0.280852 | − | 0.0824655i | −0.138273 | − | 0.990394i | \(-0.544155\pi\) |
0.419125 | + | 0.907929i | \(0.362337\pi\) | |||||||
\(674\) | −85548.9 | + | 133117.i | −0.00725378 | + | 0.0112871i | ||||
\(675\) | 2.89273e6i | 0.244371i | ||||||||
\(676\) | 1.65157e6 | + | 1.14869e7i | 0.139005 | + | 0.966799i | ||||
\(677\) | 2.07776e7 | + | 9.48881e6i | 1.74230 | + | 0.795683i | 0.990699 | + | 0.136069i | \(0.0434469\pi\) |
0.751604 | + | 0.659614i | \(0.229280\pi\) | |||||||
\(678\) | 358603. | 0.0299599 | ||||||||
\(679\) | −4.04896e6 | − | 1.84910e6i | −0.337030 | − | 0.153917i | ||||
\(680\) | 775088. | + | 1.69721e6i | 0.0642804 | + | 0.140754i | ||||
\(681\) | −3.00220e6 | + | 1.02245e7i | −0.248068 | + | 0.844843i | ||||
\(682\) | −1.86155e6 | − | 267651.i | −0.153255 | − | 0.0220347i | ||||
\(683\) | −2.50197e6 | − | 3.89314e6i | −0.205225 | − | 0.319336i | 0.723350 | − | 0.690482i | \(-0.242601\pi\) |
−0.928575 | + | 0.371146i | \(0.878965\pi\) | |||||||
\(684\) | 6.49424e6 | − | 2.96582e6i | 0.530748 | − | 0.242384i | ||||
\(685\) | 1.91665e7 | − | 8.75306e6i | 1.56069 | − | 0.712744i | ||||
\(686\) | −530297. | − | 459505.i | −0.0430238 | − | 0.0372804i | ||||
\(687\) | −1.45619e6 | + | 3.18862e6i | −0.117714 | + | 0.257757i | ||||
\(688\) | 5.27345e6 | − | 4.56947e6i | 0.424741 | − | 0.368040i | ||||
\(689\) | 644644. | + | 2.19546e6i | 0.0517335 | + | 0.176188i | ||||
\(690\) | −78778.5 | − | 547916.i | −0.00629919 | − | 0.0438118i | ||||
\(691\) | −1.89174e6 | − | 2.18318e6i | −0.150718 | − | 0.173938i | 0.675370 | − | 0.737479i | \(-0.263984\pi\) |
−0.826088 | + | 0.563541i | \(0.809439\pi\) | |||||||
\(692\) | 9.59069e6 | + | 2.10007e7i | 0.761350 | + | 1.66712i | ||||
\(693\) | 3.80600e6 | + | 1.29620e7i | 0.301048 | + | 1.02528i | ||||
\(694\) | 907008. | + | 582899.i | 0.0714846 | + | 0.0459404i | ||||
\(695\) | −1.85500e7 | + | 2.14078e7i | −1.45674 | + | 1.68117i | ||||
\(696\) | −596027. | − | 175009.i | −0.0466383 | − | 0.0136942i | ||||
\(697\) | 4.74395e6 | − | 4.11066e6i | 0.369878 | − | 0.320501i | ||||
\(698\) | −211624. | + | 720727.i | −0.0164410 | + | 0.0559928i | ||||
\(699\) | −1.17912e7 | + | 1.69531e6i | −0.912774 | + | 0.131237i | ||||
\(700\) | 6.43875e6i | 0.496657i | ||||||||
\(701\) | 1.16534e7 | + | 7.48918e6i | 0.895690 | + | 0.575625i | 0.905509 | − | 0.424327i | \(-0.139489\pi\) |
−0.00981939 | + | 0.999952i | \(0.503126\pi\) | |||||||
\(702\) | −39256.7 | − | 11526.8i | −0.00300657 | − | 0.000882808i | ||||
\(703\) | 1.94799e7 | − | 5.71982e6i | 1.48662 | − | 0.436510i | ||||
\(704\) | 2.01802e7 | − | 1.29690e7i | 1.53459 | − | 0.986223i | ||||
\(705\) | −6.32129e6 | − | 9.83612e6i | −0.478997 | − | 0.745334i | ||||
\(706\) | 859302. | + | 744590.i | 0.0648835 | + | 0.0562219i | ||||
\(707\) | 6.78092e6 | − | 4.35784e6i | 0.510200 | − | 0.327886i | ||||
\(708\) | 3.08866e6 | − | 2.14821e7i | 0.231572 | − | 1.61062i | ||||
\(709\) | −1.96607e7 | + | 2.82678e6i | −1.46887 | + | 0.211191i | −0.829844 | − | 0.557995i | \(-0.811571\pi\) |
−0.639024 | + | 0.769187i | \(0.720662\pi\) | |||||||
\(710\) | −53200.0 | − | 61396.0i | −0.00396064 | − | 0.00457082i | ||||
\(711\) | −1.11544e7 | −0.827508 | ||||||||
\(712\) | 1.17568e6 | − | 789686.i | 0.0869137 | − | 0.0583787i | ||||
\(713\) | 1.11865e7 | 0.824083 | ||||||||
\(714\) | −603840. | − | 696869.i | −0.0443278 | − | 0.0511570i | ||||
\(715\) | 4.53291e6 | − | 651735.i | 0.331598 | − | 0.0476766i | ||||
\(716\) | 2.23364e6 | − | 1.55353e7i | 0.162828 | − | 1.13250i | ||||
\(717\) | −1.45998e7 | + | 9.38269e6i | −1.06059 | + | 0.681600i | ||||
\(718\) | −292688. | − | 253615.i | −0.0211882 | − | 0.0183597i | ||||
\(719\) | 9.26531e6 | + | 1.44171e7i | 0.668402 | + | 1.04005i | 0.995472 | + | 0.0950540i | \(0.0303024\pi\) |
−0.327070 | + | 0.945000i | \(0.606061\pi\) | |||||||
\(720\) | 9.91428e6 | − | 6.37152e6i | 0.712738 | − | 0.458049i | ||||
\(721\) | 4.74372e6 | − | 1.39288e6i | 0.339845 | − | 0.0997875i | ||||
\(722\) | 180288. | + | 52937.3i | 0.0128713 | + | 0.00377937i | ||||
\(723\) | −1.76076e7 | − | 1.13157e7i | −1.25272 | − | 0.805077i | ||||
\(724\) | 4.88511e6i | 0.346360i | ||||||||
\(725\) | −2.94341e6 | + | 423199.i | −0.207972 | + | 0.0299019i | ||||
\(726\) | −662959. | + | 2.25783e6i | −0.0466815 | + | 0.158983i | ||||
\(727\) | −7.16541e6 | + | 6.20887e6i | −0.502811 | + | 0.435689i | −0.868971 | − | 0.494864i | \(-0.835218\pi\) |
0.366159 | + | 0.930552i | \(0.380673\pi\) | |||||||
\(728\) | −174999. | − | 51384.3i | −0.0122379 | − | 0.00359337i | ||||
\(729\) | −2.69050e6 | + | 3.10500e6i | −0.187505 | + | 0.216393i | ||||
\(730\) | 174969. | + | 112446.i | 0.0121522 | + | 0.00780973i | ||||
\(731\) | 2.70661e6 | + | 9.21786e6i | 0.187341 | + | 0.638023i | ||||
\(732\) | −5.72048e6 | − | 1.25261e7i | −0.394598 | − | 0.864050i | ||||
\(733\) | −2.41108e6 | − | 2.78253e6i | −0.165749 | − | 0.191285i | 0.666799 | − | 0.745238i | \(-0.267664\pi\) |
−0.832548 | + | 0.553953i | \(0.813119\pi\) | |||||||
\(734\) | 107869. | + | 750245.i | 0.00739020 | + | 0.0514000i | ||||
\(735\) | 1.87482e6 | + | 6.38505e6i | 0.128009 | + | 0.435959i | ||||
\(736\) | 900556. | − | 780337.i | 0.0612797 | − | 0.0530991i | ||||
\(737\) | −1.53330e7 | + | 3.35746e7i | −1.03982 | + | 2.27689i | ||||
\(738\) | 165828. | + | 143691.i | 0.0112077 | + | 0.00971153i | ||||
\(739\) | −8.10775e6 | + | 3.70268e6i | −0.546121 | + | 0.249405i | −0.669317 | − | 0.742977i | \(-0.733413\pi\) |
0.123195 | + | 0.992382i | \(0.460686\pi\) | |||||||
\(740\) | 3.05692e7 | − | 1.39605e7i | 2.05213 | − | 0.937177i | ||||
\(741\) | 1.29507e6 | + | 2.01517e6i | 0.0866457 | + | 0.134823i | ||||
\(742\) | 846350. | + | 121687.i | 0.0564339 | + | 0.00811398i | ||||
\(743\) | 7.21087e6 | − | 2.45580e7i | 0.479199 | − | 1.63200i | −0.265147 | − | 0.964208i | \(-0.585421\pi\) |
0.744346 | − | 0.667794i | \(-0.232761\pi\) | |||||||
\(744\) | −1.35477e6 | − | 2.96653e6i | −0.0897290 | − | 0.196479i | ||||
\(745\) | 1.62599e7 | + | 7.42566e6i | 1.07332 | + | 0.490167i | ||||
\(746\) | 774978. | 0.0509850 | ||||||||
\(747\) | 1.02080e7 | + | 4.66183e6i | 0.669327 | + | 0.305671i | ||||
\(748\) | 4.72646e6 | + | 3.28732e7i | 0.308874 | + | 2.14827i | ||||
\(749\) | − | 2.53538e6i | − | 0.165135i | ||||||
\(750\) | 294699. | − | 458560.i | 0.0191304 | − | 0.0297676i | ||||
\(751\) | −1.25482e6 | + | 368448.i | −0.0811859 | + | 0.0238383i | −0.322073 | − | 0.946715i | \(-0.604380\pi\) |
0.240887 | + | 0.970553i | \(0.422562\pi\) | |||||||
\(752\) | 3.46924e6 | − | 7.59658e6i | 0.223712 | − | 0.489862i | ||||
\(753\) | 3.82502e7 | + | 5.49955e6i | 2.45837 | + | 0.353460i | ||||
\(754\) | 5985.60 | − | 41630.8i | 0.000383424 | − | 0.00266677i | ||||
\(755\) | 1.70311e6 | − | 2.65009e6i | 0.108736 | − | 0.169197i | ||||
\(756\) | 3.63337e6 | − | 4.19313e6i | 0.231209 | − | 0.266830i | ||||
\(757\) | 3.74939e6 | − | 4.32702e6i | 0.237805 | − | 0.274441i | −0.624285 | − | 0.781196i | \(-0.714610\pi\) |
0.862090 | + | 0.506755i | \(0.169155\pi\) | |||||||
\(758\) | −40003.8 | + | 62247.2i | −0.00252888 | + | 0.00393502i | ||||
\(759\) | 2.80836e6 | − | 1.95326e7i | 0.176949 | − | 1.23071i | ||||
\(760\) | −1.79286e6 | − | 257774.i | −0.112593 | − | 0.0161885i | ||||
\(761\) | −1.81802e6 | + | 3.98090e6i | −0.113798 | + | 0.249184i | −0.957958 | − | 0.286908i | \(-0.907373\pi\) |
0.844160 | + | 0.536092i | \(0.180100\pi\) | |||||||
\(762\) | −691014. | + | 202900.i | −0.0431121 | + | 0.0126589i | ||||
\(763\) | −9.11621e6 | + | 1.41851e7i | −0.566895 | + | 0.882106i | ||||
\(764\) | − | 3.18699e6i | − | 0.197537i | ||||||
\(765\) | 2.30917e6 | + | 1.60606e7i | 0.142660 | + | 0.992222i | ||||
\(766\) | 121648. | + | 55554.7i | 0.00749087 | + | 0.00342096i | ||||
\(767\) | 2.94294e6 | 0.180631 | ||||||||
\(768\) | 1.87348e7 | + | 8.55588e6i | 1.14616 | + | 0.523434i | ||||
\(769\) | −8.48045e6 | − | 1.85696e7i | −0.517134 | − | 1.13237i | −0.970513 | − | 0.241048i | \(-0.922509\pi\) |
0.453379 | − | 0.891318i | \(-0.350218\pi\) | |||||||
\(770\) | 482134. | − | 1.64200e6i | 0.0293049 | − | 0.0998035i | ||||
\(771\) | −2.77640e7 | − | 3.99186e6i | −1.68208 | − | 0.241846i | ||||
\(772\) | 7.36925e6 | + | 1.14668e7i | 0.445020 | + | 0.692465i | ||||
\(773\) | 2.38117e7 | − | 1.08744e7i | 1.43331 | − | 0.654572i | 0.460818 | − | 0.887495i | \(-0.347556\pi\) |
0.972495 | + | 0.232923i | \(0.0748290\pi\) | |||||||
\(774\) | −305472. | + | 139504.i | −0.0183282 | + | 0.00837019i | ||||
\(775\) | −1.17986e7 | − | 1.02236e7i | −0.705629 | − | 0.611431i | ||||
\(776\) | 318243. | − | 696855.i | 0.0189716 | − | 0.0415421i | ||||
\(777\) | −2.51379e7 | + | 2.17821e7i | −1.49375 | + | 1.29434i | ||||
\(778\) | −290088. | − | 987948.i | −0.0171823 | − | 0.0585174i | ||||
\(779\) | 867228. | + | 6.03170e6i | 0.0512023 | + | 0.356120i | ||||
\(780\) | 2.59661e6 | + | 2.99665e6i | 0.152816 | + | 0.176359i | ||||
\(781\) | −1.20307e6 | − | 2.63435e6i | −0.0705768 | − | 0.154542i | ||||
\(782\) | 153363. | + | 522307.i | 0.00896817 | + | 0.0305428i | ||||
\(783\) | 2.15566e6 | + | 1.38536e6i | 0.125654 | + | 0.0807528i | ||||
\(784\) | −3.11263e6 | + | 3.59216e6i | −0.180858 | + | 0.208721i | ||||
\(785\) | 1.61905e7 | + | 4.75397e6i | 0.937749 | + | 0.275348i | ||||
\(786\) | 1.64233e6 | − | 1.42308e6i | 0.0948208 | − | 0.0821626i | ||||
\(787\) | 2.95964e6 | − | 1.00796e7i | 0.170334 | − | 0.580105i | −0.829435 | − | 0.558604i | \(-0.811337\pi\) |
0.999769 | − | 0.0215014i | \(-0.00684462\pi\) | |||||||
\(788\) | 2.87845e6 | − | 413859.i | 0.165137 | − | 0.0237431i | ||||
\(789\) | 1.42489e7i | 0.814870i | ||||||||
\(790\) | 1.18870e6 | + | 763930.i | 0.0677648 | + | 0.0435498i | ||||
\(791\) | −6.32712e6 | − | 1.85781e6i | −0.359555 | − | 0.105575i | ||||
\(792\) | −2.23086e6 | + | 655040.i | −0.126375 | + | 0.0371069i | ||||
\(793\) | 1.57087e6 | − | 1.00953e6i | 0.0887066 | − | 0.0570083i | ||||
\(794\) | −449420. | − | 699311.i | −0.0252989 | − | 0.0393658i | ||||
\(795\) | −2.81361e7 | − | 2.43800e7i | −1.57887 | − | 1.36810i | ||||
\(796\) | −1.76663e7 | + | 1.13534e7i | −0.988241 | + | 0.635104i | ||||
\(797\) | −1.39464e6 | + | 9.69993e6i | −0.0777707 | + | 0.540907i | 0.913271 | + | 0.407353i | \(0.133548\pi\) |
−0.991042 | + | 0.133554i | \(0.957361\pi\) | |||||||
\(798\) | 886035. | − | 127393.i | 0.0492542 | − | 0.00708169i | ||||
\(799\) | 7.52961e6 | + | 8.68963e6i | 0.417259 | + | 0.481542i | ||||
\(800\) | −1.66300e6 | −0.0918684 | ||||||||
\(801\) | 1.17447e7 | − | 3.70875e6i | 0.646787 | − | 0.204242i | ||||
\(802\) | 232155. | 0.0127450 | ||||||||
\(803\) | 4.85543e6 | + | 5.60347e6i | 0.265729 | + | 0.306668i | ||||
\(804\) | −3.16328e7 | + | 4.54812e6i | −1.72583 | + | 0.248137i | ||||
\(805\) | −1.44863e6 | + | 1.00754e7i | −0.0787894 | + | 0.547992i | ||||
\(806\) | 185756. | − | 119378.i | 0.0100718 | − | 0.00647273i | ||||
\(807\) | 9.67828e6 | + | 8.38628e6i | 0.523136 | + | 0.453300i | ||||
\(808\) | 750015. | + | 1.16705e6i | 0.0404149 | + | 0.0628868i | ||||
\(809\) | −1.03749e7 | + | 6.66756e6i | −0.557331 | + | 0.358175i | −0.788783 | − | 0.614671i | \(-0.789289\pi\) |
0.231452 | + | 0.972846i | \(0.425652\pi\) | |||||||
\(810\) | 1.44108e6 | − | 423138.i | 0.0771746 | − | 0.0226605i | ||||
\(811\) | 2.79789e7 | + | 8.21536e6i | 1.49375 | + | 0.438606i | 0.923737 | − | 0.383027i | \(-0.125118\pi\) |
0.570017 | + | 0.821633i | \(0.306936\pi\) | |||||||
\(812\) | 4.79814e6 | + | 3.08358e6i | 0.255378 | + | 0.164121i | ||||
\(813\) | − | 3.73746e7i | − | 1.98313i | ||||||
\(814\) | −3.26770e6 | + | 469825.i | −0.172855 | + | 0.0248528i | ||||
\(815\) | −1.06126e7 | + | 3.61432e7i | −0.559664 | + | 1.90604i | ||||
\(816\) | −2.16720e7 | + | 1.87789e7i | −1.13939 | + | 0.987289i | ||||
\(817\) | −8.94851e6 | − | 2.62752e6i | −0.469025 | − | 0.137718i | ||||
\(818\) | −722808. | + | 834165.i | −0.0377694 | + | 0.0435882i | ||||
\(819\) | −1.33431e6 | − | 857509.i | −0.0695100 | − | 0.0446714i | ||||
\(820\) | 2.84180e6 | + | 9.67829e6i | 0.147591 | + | 0.502648i | ||||
\(821\) | 3.26599e6 | + | 7.15153e6i | 0.169105 | + | 0.370289i | 0.975143 | − | 0.221575i | \(-0.0711196\pi\) |
−0.806038 | + | 0.591864i | \(0.798392\pi\) | |||||||
\(822\) | −1.17363e6 | − | 1.35444e6i | −0.0605830 | − | 0.0699165i | ||||
\(823\) | −5.07013e6 | − | 3.52635e7i | −0.260927 | − | 1.81479i | −0.525915 | − | 0.850537i | \(-0.676277\pi\) |
0.264988 | − | 0.964252i | \(-0.414632\pi\) | |||||||
\(824\) | 239725. | + | 816429.i | 0.0122997 | + | 0.0418890i | ||||
\(825\) | −2.08132e7 | + | 1.80347e7i | −1.06464 | + | 0.922517i | ||||
\(826\) | 456850. | − | 1.00036e6i | 0.0232983 | − | 0.0510161i | ||||
\(827\) | −8.77105e6 | − | 7.60016e6i | −0.445952 | − | 0.386420i | 0.402734 | − | 0.915317i | \(-0.368060\pi\) |
−0.848686 | + | 0.528898i | \(0.822606\pi\) | |||||||
\(828\) | 6.28124e6 | − | 2.86854e6i | 0.318397 | − | 0.145407i | ||||
\(829\) | −1.05336e7 | + | 4.81055e6i | −0.532344 | + | 0.243113i | −0.663404 | − | 0.748261i | \(-0.730889\pi\) |
0.131060 | + | 0.991374i | \(0.458162\pi\) | |||||||
\(830\) | −768567. | − | 1.19591e6i | −0.0387246 | − | 0.0602566i | ||||
\(831\) | 3.88486e7 | + | 5.58559e6i | 1.95152 | + | 0.280586i | ||||
\(832\) | −793475. | + | 2.70233e6i | −0.0397397 | + | 0.135341i | ||||
\(833\) | −2.71851e6 | − | 5.95271e6i | −0.135743 | − | 0.297236i | ||||
\(834\) | 2.19162e6 | + | 1.00088e6i | 0.109106 | + | 0.0498271i | ||||
\(835\) | 1.87345e7 | 0.929876 | ||||||||
\(836\) | −2.93273e7 | − | 1.33933e7i | −1.45130 | − | 0.662786i | ||||
\(837\) | 1.91453e6 | + | 1.33158e7i | 0.0944601 | + | 0.656984i | ||||
\(838\) | − | 495604.i | − | 0.0243795i | ||||||
\(839\) | −5.21843e6 | + | 8.12003e6i | −0.255938 | + | 0.398247i | −0.945317 | − | 0.326154i | \(-0.894247\pi\) |
0.689379 | + | 0.724401i | \(0.257884\pi\) | |||||||
\(840\) | 2.84733e6 | − | 836051.i | 0.139232 | − | 0.0408822i | ||||
\(841\) | 7.42638e6 | − | 1.62615e7i | 0.362065 | − | 0.792813i | ||||
\(842\) | −425342. | − | 61155.0i | −0.0206756 | − | 0.00297270i | ||||
\(843\) | 5.04518e6 | − | 3.50900e7i | 0.244516 | − | 1.70065i | ||||
\(844\) | −1.59179e6 | + | 2.47688e6i | −0.0769185 | + | 0.119687i | ||||
\(845\) | 1.67671e7 | − | 1.93503e7i | 0.807824 | − | 0.932279i | ||||
\(846\) | −263202. | + | 303752.i | −0.0126434 | + | 0.0145913i | ||||
\(847\) | 2.33942e7 | − | 3.64021e7i | 1.12047 | − | 1.74348i | ||||
\(848\) | 3.78435e6 | − | 2.63207e7i | 0.180718 | − | 1.25692i | ||||
\(849\) | 3.33168e7 | + | 4.79024e6i | 1.58633 | + | 0.228080i | ||||
\(850\) | 315591. | − | 691047.i | 0.0149822 | − | 0.0328065i | ||||
\(851\) | 1.88410e7 | − | 5.53222e6i | 0.891826 | − | 0.261864i | ||||
\(852\) | 1.35567e6 | − | 2.10946e6i | 0.0639814 | − | 0.0995571i | ||||
\(853\) | − | 9.32031e6i | − | 0.438589i | −0.975659 | − | 0.219295i | \(-0.929624\pi\) | ||
0.975659 | − | 0.219295i | \(-0.0703756\pi\) | |||||||
\(854\) | −99305.3 | − | 690684.i | −0.00465938 | − | 0.0324067i | ||||
\(855\) | −1.43282e7 | − | 6.54348e6i | −0.670312 | − | 0.306121i | ||||
\(856\) | 436358. | 0.0203544 | ||||||||
\(857\) | −7.37765e6 | − | 3.36926e6i | −0.343136 | − | 0.156705i | 0.236391 | − | 0.971658i | \(-0.424035\pi\) |
−0.579527 | + | 0.814953i | \(0.696763\pi\) | |||||||
\(858\) | −161810. | − | 354315.i | −0.00750392 | − | 0.0164313i | ||||
\(859\) | 1.70663e6 | − | 5.81226e6i | 0.0789146 | − | 0.268758i | −0.910579 | − | 0.413335i | \(-0.864364\pi\) |
0.989494 | + | 0.144577i | \(0.0461820\pi\) | |||||||
\(860\) | −1.52806e7 | − | 2.19701e6i | −0.704520 | − | 0.101295i | ||||
\(861\) | −5.39757e6 | − | 8.39878e6i | −0.248136 | − | 0.386107i | ||||
\(862\) | 638534. | − | 291609.i | 0.0292695 | − | 0.0133669i | ||||
\(863\) | −1.24850e7 | + | 5.70171e6i | −0.570640 | + | 0.260602i | −0.679770 | − | 0.733425i | \(-0.737921\pi\) |
0.109131 | + | 0.994027i | \(0.465193\pi\) | |||||||
\(864\) | 1.08300e6 | + | 938424.i | 0.0493564 | + | 0.0427676i | ||||
\(865\) | 2.11599e7 | − | 4.63337e7i | 0.961553 | − | 2.10551i | ||||
\(866\) | 945129. | − | 818959.i | 0.0428249 | − | 0.0371080i | ||||
\(867\) | −3.04496e6 | − | 1.03702e7i | −0.137573 | − | 0.468531i | ||||
\(868\) | 4.26143e6 | + | 2.96389e7i | 0.191980 | + | 1.33525i | ||||
\(869\) | 3.29867e7 | + | 3.80687e7i | 1.48180 | + | 1.71009i | ||||
\(870\) | 284277. | + | 622480.i | 0.0127334 | + | 0.0278822i | ||||
\(871\) | −1.22090e6 | − | 4.15800e6i | −0.0545299 | − | 0.185712i | ||||
\(872\) | −2.44136e6 | − | 1.56896e6i | −0.108728 | − | 0.0698750i | ||||
\(873\) | 4.36277e6 | − | 5.03491e6i | 0.193743 | − | 0.223592i | ||||
\(874\) | −507045. | − | 148882.i | −0.0224527 | − | 0.00659270i | ||||
\(875\) | −7.57525e6 | + | 6.56400e6i | −0.334485 | + | 0.289833i | ||||
\(876\) | −1.80864e6 | + | 6.15968e6i | −0.0796329 | + | 0.271205i | ||||
\(877\) | −1.12732e7 | + | 1.62085e6i | −0.494937 | + | 0.0711612i | −0.385264 | − | 0.922807i | \(-0.625890\pi\) |
−0.109673 | + | 0.993968i | \(0.534980\pi\) | |||||||
\(878\) | 1.87904e6i | 0.0822622i | ||||||||
\(879\) | 3.74228e6 | + | 2.40502e6i | 0.163367 | + | 0.104990i | ||||
\(880\) | −5.10646e7 | − | 1.49939e7i | −2.22287 | − | 0.652693i | ||||
\(881\) | −2.27395e7 | + | 6.67691e6i | −0.987053 | + | 0.289825i | −0.735133 | − | 0.677923i | \(-0.762880\pi\) |
−0.251920 | + | 0.967748i | \(0.581062\pi\) | |||||||
\(882\) | 192439. | − | 123673.i | 0.00832955 | − | 0.00535308i | ||||
\(883\) | 2.03766e7 | + | 3.17067e7i | 0.879490 | + | 1.36851i | 0.929133 | + | 0.369746i | \(0.120555\pi\) |
−0.0496428 | + | 0.998767i | \(0.515808\pi\) | |||||||
\(884\) | −2.94688e6 | − | 2.55348e6i | −0.126833 | − | 0.109901i | ||||
\(885\) | −4.02819e7 | + | 2.58876e7i | −1.72883 | + | 1.11105i | ||||
\(886\) | 43074.9 | − | 299593.i | 0.00184349 | − | 0.0128217i | ||||
\(887\) | −2.81026e7 | + | 4.04054e6i | −1.19932 | + | 0.172437i | −0.712887 | − | 0.701279i | \(-0.752613\pi\) |
−0.486437 | + | 0.873715i | \(0.661704\pi\) | |||||||
\(888\) | −3.74886e6 | − | 4.32642e6i | −0.159539 | − | 0.184118i | ||||
\(889\) | 1.32433e7 | 0.562006 | ||||||||
\(890\) | −1.50561e6 | − | 409127.i | −0.0637143 | − | 0.0173134i | ||||
\(891\) | 5.35415e7 | 2.25941 | ||||||||
\(892\) | −3.33833e6 | − | 3.85264e6i | −0.140481 | − | 0.162123i | ||||
\(893\) | −1.10485e7 | + | 1.58853e6i | −0.463631 | + | 0.0666601i | ||||
\(894\) | 216375. | − | 1.50492e6i | 0.00905446 | − | 0.0629752i | ||||
\(895\) | −2.91308e7 | + | 1.87213e7i | −1.21561 | + | 0.781227i | ||||
\(896\) | 3.21262e6 | + | 2.78375e6i | 0.133687 | + | 0.115840i | ||||
\(897\) | 1.25259e6 | + | 1.94907e6i | 0.0519790 | + | 0.0808810i | ||||
\(898\) | −1.20678e6 | + | 775551.i | −0.0499387 | + | 0.0320937i | ||||
\(899\) | −1.32690e7 | + | 3.89614e6i | −0.547570 | + | 0.160781i | ||||
\(900\) | −9.24654e6 | − | 2.71503e6i | −0.380516 | − | 0.111730i | ||||
\(901\) | 3.07992e7 | + | 1.97934e7i | 1.26394 | + | 0.812286i | ||||
\(902\) | − | 990885.i | − | 0.0405515i | ||||||
\(903\) | 1.51242e7 | − | 2.17453e6i | 0.617238 | − | 0.0887454i | ||||
\(904\) | 319743. | − | 1.08894e6i | 0.0130131 | − | 0.0443184i | ||||
\(905\) | 8.14547e6 | − | 7.05809e6i | 0.330594 | − | 0.286461i | ||||
\(906\) | −257086. | − | 75487.3i | −0.0104054 | − | 0.00305530i | ||||
\(907\) | −1.90133e7 | + | 2.19425e7i | −0.767430 | + | 0.885662i | −0.996135 | − | 0.0878341i | \(-0.972005\pi\) |
0.228705 | + | 0.973496i | \(0.426551\pi\) | |||||||
\(908\) | 1.41661e7 | + | 9.10400e6i | 0.570211 | + | 0.366452i | ||||
\(909\) | 3.39887e6 | + | 1.15755e7i | 0.136435 | + | 0.464654i | ||||
\(910\) | 83466.3 | + | 182766.i | 0.00334124 | + | 0.00731630i | ||||
\(911\) | −1.96397e7 | − | 2.26654e7i | −0.784042 | − | 0.904832i | 0.213353 | − | 0.976975i | \(-0.431562\pi\) |
−0.997394 | + | 0.0721429i | \(0.977016\pi\) | |||||||
\(912\) | −3.96179e6 | − | 2.75549e7i | −0.157727 | − | 1.09701i | ||||
\(913\) | −1.42776e7 | − | 4.86250e7i | −0.566863 | − | 1.93056i | ||||
\(914\) | 1.94021e6 | − | 1.68120e6i | 0.0768214 | − | 0.0665661i | ||||
\(915\) | −1.26211e7 | + | 2.76363e7i | −0.498361 | + | 1.09126i | ||||
\(916\) | 4.18635e6 | + | 3.62749e6i | 0.164853 | + | 0.142846i | ||||
\(917\) | −3.63494e7 | + | 1.66002e7i | −1.42749 | + | 0.651914i | ||||
\(918\) | −595479. | + | 271946.i | −0.0233217 | + | 0.0106507i | ||||
\(919\) | 3.77390e6 | + | 5.87230e6i | 0.147401 | + | 0.229361i | 0.907101 | − | 0.420913i | \(-0.138290\pi\) |
−0.759700 | + | 0.650274i | \(0.774654\pi\) | |||||||
\(920\) | −1.73406e6 | − | 249320.i | −0.0675451 | − | 0.00971151i | ||||
\(921\) | 8.02415e6 | − | 2.73277e7i | 0.311709 | − | 1.06158i | ||||
\(922\) | 68813.4 | + | 150680.i | 0.00266591 | + | 0.00583753i | ||||
\(923\) | 309294. | + | 141250.i | 0.0119500 | + | 0.00545737i | ||||
\(924\) | 5.28217e7 | 2.03532 | ||||||||
\(925\) | −2.49279e7 | − | 1.13842e7i | −0.957925 | − | 0.437470i | ||||
\(926\) | 369494. | + | 2.56989e6i | 0.0141606 | + | 0.0984888i | ||||
\(927\) | 7.39969e6i | 0.282823i | ||||||||
\(928\) | −796424. | + | 1.23926e6i | −0.0303581 | + | 0.0472381i | ||||
\(929\) | −211079. | + | 61978.4i | −0.00802427 | + | 0.00235614i | −0.285742 | − | 0.958307i | \(-0.592240\pi\) |
0.277718 | + | 0.960663i | \(0.410422\pi\) | |||||||
\(930\) | −1.49245e6 | + | 3.26802e6i | −0.0565840 | + | 0.123902i | ||||
\(931\) | 6.28821e6 | + | 904107.i | 0.237768 | + | 0.0341858i | ||||
\(932\) | −2.67899e6 | + | 1.86328e7i | −0.101025 | + | 0.702648i | ||||
\(933\) | 3.90202e6 | − | 6.07166e6i | 0.146752 | − | 0.228351i | ||||
\(934\) | −796006. | + | 918640.i | −0.0298572 | + | 0.0344570i | ||||
\(935\) | 4.79842e7 | − | 5.53767e7i | 1.79502 | − | 2.07156i | ||||
\(936\) | 147584. | − | 229644.i | 0.00550615 | − | 0.00856774i | ||||
\(937\) | 3.21819e6 | − | 2.23830e7i | 0.119746 | − | 0.832855i | −0.838088 | − | 0.545535i | \(-0.816327\pi\) |
0.957835 | − | 0.287320i | \(-0.0927644\pi\) | |||||||
\(938\) | −1.60291e6 | − | 230464.i | −0.0594844 | − | 0.00855256i | ||||
\(939\) | −5.41042e6 | + | 1.18472e7i | −0.200247 | + | 0.438481i | ||||
\(940\) | −1.77280e7 | + | 5.20541e6i | −0.654395 | + | 0.192148i | ||||
\(941\) | −1.94138e6 | + | 3.02085e6i | −0.0714723 | + | 0.111213i | −0.875150 | − | 0.483852i | \(-0.839237\pi\) |
0.803678 | + | 0.595065i | \(0.202874\pi\) | |||||||
\(942\) | − | 1.43523e6i | − | 0.0526981i | ||||||
\(943\) | 838784. | + | 5.83387e6i | 0.0307164 | + | 0.213637i | ||||
\(944\) | −3.11103e7 | − | 1.42076e7i | −1.13625 | − | 0.518909i | ||||
\(945\) | −1.22412e7 | −0.445908 | ||||||||
\(946\) | 1.37948e6 | + | 629987.i | 0.0501172 | + | 0.0228878i | ||||
\(947\) | −1.61164e7 | − | 3.52900e7i | −0.583974 | − | 1.27872i | −0.939016 | − | 0.343873i | \(-0.888261\pi\) |
0.355042 | − | 0.934850i | \(-0.384466\pi\) | |||||||
\(948\) | −1.22875e7 | + | 4.18474e7i | −0.444061 | + | 1.51233i | ||||
\(949\) | −861657. | − | 123888.i | −0.0310577 | − | 0.00446542i | ||||
\(950\) | 398723. | + | 620426.i | 0.0143338 | + | 0.0223039i | ||||
\(951\) | −2.72839e7 | + | 1.24601e7i | −0.978261 | + | 0.446757i | ||||
\(952\) | −2.65453e6 | + | 1.21228e6i | −0.0949282 | + | 0.0433523i | ||||
\(953\) | 4.29030e6 | + | 3.71757e6i | 0.153023 | + | 0.132595i | 0.728007 | − | 0.685569i | \(-0.240447\pi\) |
−0.574985 | + | 0.818164i | \(0.694992\pi\) | |||||||
\(954\) | −531632. | + | 1.16411e6i | −0.0189121 | + | 0.0414118i | ||||
\(955\) | −5.31401e6 | + | 4.60462e6i | −0.188545 | + | 0.163375i | ||||
\(956\) | 7.72639e6 | + | 2.63137e7i | 0.273421 | + | 0.931186i | ||||
\(957\) | 3.47180e6 | + | 2.41469e7i | 0.122539 | + | 0.852279i | ||||
\(958\) | 1.08387e6 | + | 1.25085e6i | 0.0381561 | + | 0.0440345i | ||||
\(959\) | 1.36903e7 | + | 2.99776e7i | 0.480692 | + | 1.05257i | ||||
\(960\) | −1.29103e7 | − | 4.39684e7i | −0.452124 | − | 1.53979i | ||||
\(961\) | −3.69934e7 | − | 2.37742e7i | −1.29216 | − | 0.830420i | ||||
\(962\) | 253824. | − | 292929.i | 0.00884291 | − | 0.0102053i | ||||
\(963\) | 3.64101e6 | + | 1.06910e6i | 0.126519 | + | 0.0371493i | ||||
\(964\) | −2.49962e7 | + | 2.16593e7i | −0.866325 | + | 0.750675i | ||||
\(965\) | 8.47257e6 | − | 2.88549e7i | 0.292885 | − | 0.997474i | ||||
\(966\) | 856974. | − | 123214.i | 0.0295478 | − | 0.00424833i | ||||
\(967\) | − | 9.81725e6i | − | 0.337616i | −0.985649 | − | 0.168808i | \(-0.946008\pi\) | ||
0.985649 | − | 0.168808i | \(-0.0539919\pi\) | |||||||
\(968\) | 6.26507e6 | + | 4.02631e6i | 0.214900 | + | 0.138108i | ||||
\(969\) | 3.67752e7 | + | 1.07982e7i | 1.25819 | + | 0.369437i | ||||
\(970\) | −809756. | + | 237766.i | −0.0276328 | + | 0.00811372i | ||||
\(971\) | 3.06420e7 | − | 1.96924e7i | 1.04296 | − | 0.670271i | 0.0972443 | − | 0.995261i | \(-0.468997\pi\) |
0.945718 | + | 0.324990i | \(0.105361\pi\) | |||||||
\(972\) | 1.84440e7 | + | 2.86994e7i | 0.626166 | + | 0.974333i | ||||
\(973\) | −3.34832e7 | − | 2.90133e7i | −1.13382 | − | 0.982461i | ||||
\(974\) | −77005.1 | + | 49488.2i | −0.00260089 | + | 0.00167149i | ||||
\(975\) | 460160. | − | 3.20048e6i | 0.0155023 | − | 0.107821i | ||||
\(976\) | −2.14796e7 | + | 3.08830e6i | −0.721776 | + | 0.103776i | ||||
\(977\) | −3.08984e6 | − | 3.56586e6i | −0.103562 | − | 0.119517i | 0.701602 | − | 0.712569i | \(-0.252468\pi\) |
−0.805164 | + | 0.593052i | \(0.797923\pi\) | |||||||
\(978\) | 3.20397e6 | 0.107113 | ||||||||
\(979\) | −4.73900e7 | − | 2.91156e7i | −1.58026 | − | 0.970886i | ||||
\(980\) | 1.05158e7 | 0.349766 | ||||||||
\(981\) | −1.65269e7 | − | 1.90730e7i | −0.548299 | − | 0.632771i | ||||
\(982\) | −1.92427e6 | + | 276668.i | −0.0636775 | + | 0.00915545i | ||||
\(983\) | 4.34789e6 | − | 3.02402e7i | 0.143514 | − | 0.998162i | −0.783032 | − | 0.621981i | \(-0.786328\pi\) |
0.926546 | − | 0.376181i | \(-0.122763\pi\) | |||||||
\(984\) | 1.44549e6 | − | 928960.i | 0.0475913 | − | 0.0305851i | ||||
\(985\) | −4.84890e6 | − | 4.20160e6i | −0.159240 | − | 0.137983i | ||||
\(986\) | −363827. | − | 566126.i | −0.0119180 | − | 0.0185448i | ||||
\(987\) | 1.53843e7 | − | 9.88688e6i | 0.502672 | − | 0.323048i | ||||
\(988\) | 3.63201e6 | − | 1.06645e6i | 0.118373 | − | 0.0347576i | ||||
\(989\) | −8.65501e6 | − | 2.54134e6i | −0.281369 | − | 0.0826175i | ||||
\(990\) | 2.15473e6 | + | 1.38476e6i | 0.0698724 | + | 0.0449042i | ||||
\(991\) | − | 3.21579e7i | − | 1.04017i | −0.854115 | − | 0.520084i | \(-0.825900\pi\) | ||
0.854115 | − | 0.520084i | \(-0.174100\pi\) | |||||||
\(992\) | −7.65511e6 | + | 1.10064e6i | −0.246986 | + | 0.0355112i | ||||
\(993\) | −4.80107e6 | + | 1.63510e7i | −0.154513 | + | 0.526223i | ||||
\(994\) | 96027.1 | − | 83207.9i | 0.00308268 | − | 0.00267115i | ||||
\(995\) | 4.44554e7 | + | 1.30533e7i | 1.42353 | + | 0.417986i | ||||
\(996\) | 2.87345e7 | − | 3.31614e7i | 0.917816 | − | 1.05922i | ||||
\(997\) | −6.35096e6 | − | 4.08152e6i | −0.202349 | − | 0.130042i | 0.435542 | − | 0.900168i | \(-0.356557\pi\) |
−0.637891 | + | 0.770126i | \(0.720193\pi\) | |||||||
\(998\) | 490631. | + | 1.67094e6i | 0.0155930 | + | 0.0531048i | ||||
\(999\) | 9.80983e6 | + | 2.14805e7i | 0.310991 | + | 0.680975i |
(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 | 89.6.f.a.11.18 | ✓ | 360 | |
89.81 | even | 22 | inner | 89.6.f.a.81.18 | yes | 360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
89.6.f.a.11.18 | ✓ | 360 | 1.1 | even | 1 | trivial | |
89.6.f.a.81.18 | yes | 360 | 89.81 | even | 22 | inner |