Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,6,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(4.33036313495\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.11 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.6.e.a.7.11 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.36004 | + | 1.95090i | 0.947531 | + | 0.344873i | 0.769135 | − | 0.639086i | \(-0.220687\pi\) |
0.178395 | + | 0.983959i | \(0.442909\pi\) | |||||||
\(3\) | 9.76327 | + | 12.1523i | 0.626314 | + | 0.779571i | ||||
\(4\) | 0.410645 | + | 0.344572i | 0.0128326 | + | 0.0107679i | ||||
\(5\) | −14.4659 | + | 82.0402i | −0.258774 | + | 1.46758i | 0.527423 | + | 0.849603i | \(0.323158\pi\) |
−0.786197 | + | 0.617976i | \(0.787953\pi\) | |||||||
\(6\) | 28.6236 | + | 84.1840i | 0.324599 | + | 0.954666i | ||||
\(7\) | 131.197 | − | 110.088i | 1.01200 | − | 0.849168i | 0.0233981 | − | 0.999726i | \(-0.492551\pi\) |
0.988601 | + | 0.150558i | \(0.0481070\pi\) | |||||||
\(8\) | −89.7358 | − | 155.427i | −0.495725 | − | 0.858621i | ||||
\(9\) | −52.3572 | + | 237.292i | −0.215462 | + | 0.976512i | ||||
\(10\) | −237.590 | + | 411.517i | −0.751324 | + | 1.30133i | ||||
\(11\) | −10.5058 | − | 59.5813i | −0.0261786 | − | 0.148466i | 0.968917 | − | 0.247387i | \(-0.0795720\pi\) |
−0.995095 | + | 0.0989210i | \(0.968461\pi\) | |||||||
\(12\) | −0.178108 | + | 8.35443i | −0.000357052 | + | 0.0167480i | ||||
\(13\) | 790.371 | − | 287.672i | 1.29710 | − | 0.472105i | 0.401047 | − | 0.916057i | \(-0.368646\pi\) |
0.896050 | + | 0.443952i | \(0.146424\pi\) | |||||||
\(14\) | 917.994 | − | 334.122i | 1.25176 | − | 0.455602i | ||||
\(15\) | −1138.21 | + | 625.186i | −1.30616 | + | 0.717433i | ||||
\(16\) | −180.745 | − | 1025.05i | −0.176508 | − | 1.00103i | ||||
\(17\) | −173.221 | + | 300.027i | −0.145371 | + | 0.251790i | −0.929511 | − | 0.368794i | \(-0.879771\pi\) |
0.784140 | + | 0.620584i | \(0.213104\pi\) | |||||||
\(18\) | −743.570 | + | 1169.75i | −0.540929 | + | 0.850969i | ||||
\(19\) | −1016.68 | − | 1760.95i | −0.646103 | − | 1.11908i | −0.984046 | − | 0.177916i | \(-0.943064\pi\) |
0.337943 | − | 0.941167i | \(-0.390269\pi\) | |||||||
\(20\) | −34.2091 | + | 28.7048i | −0.0191235 | + | 0.0160465i | ||||
\(21\) | 2618.74 | + | 519.536i | 1.29582 | + | 0.257079i | ||||
\(22\) | 59.9254 | − | 339.854i | 0.0263970 | − | 0.149705i | ||||
\(23\) | −1790.96 | − | 1502.79i | −0.705936 | − | 0.592351i | 0.217520 | − | 0.976056i | \(-0.430203\pi\) |
−0.923456 | + | 0.383705i | \(0.874648\pi\) | |||||||
\(24\) | 1012.68 | − | 2607.97i | 0.358876 | − | 0.924219i | ||||
\(25\) | −3584.79 | − | 1304.76i | −1.14713 | − | 0.417522i | ||||
\(26\) | 4797.64 | 1.39186 | ||||||||
\(27\) | −3394.83 | + | 1680.49i | −0.896207 | + | 0.443636i | ||||
\(28\) | 91.8086 | 0.0221304 | ||||||||
\(29\) | 7235.39 | + | 2633.47i | 1.59760 | + | 0.581478i | 0.978934 | − | 0.204179i | \(-0.0654525\pi\) |
0.618663 | + | 0.785657i | \(0.287675\pi\) | |||||||
\(30\) | −7320.54 | + | 1130.49i | −1.48505 | + | 0.229332i | ||||
\(31\) | −2053.60 | − | 1723.18i | −0.383806 | − | 0.322052i | 0.430388 | − | 0.902644i | \(-0.358377\pi\) |
−0.814194 | + | 0.580592i | \(0.802821\pi\) | |||||||
\(32\) | 33.6971 | − | 191.106i | 0.00581724 | − | 0.0329912i | ||||
\(33\) | 621.479 | − | 709.377i | 0.0993440 | − | 0.113395i | ||||
\(34\) | −1513.79 | + | 1270.22i | −0.224579 | + | 0.188444i | ||||
\(35\) | 7133.73 | + | 12356.0i | 0.984343 | + | 1.70493i | ||||
\(36\) | −103.264 | + | 79.4021i | −0.0132799 | + | 0.0102112i | ||||
\(37\) | −5490.42 | + | 9509.69i | −0.659328 | + | 1.14199i | 0.321462 | + | 0.946923i | \(0.395826\pi\) |
−0.980790 | + | 0.195067i | \(0.937507\pi\) | |||||||
\(38\) | −2014.04 | − | 11422.2i | −0.226261 | − | 1.28319i | ||||
\(39\) | 11212.5 | + | 6796.22i | 1.18043 | + | 0.715494i | ||||
\(40\) | 14049.4 | − | 5113.55i | 1.38837 | − | 0.505327i | ||||
\(41\) | −8626.75 | + | 3139.88i | −0.801471 | + | 0.291712i | −0.710096 | − | 0.704105i | \(-0.751348\pi\) |
−0.0913750 | + | 0.995817i | \(0.529126\pi\) | |||||||
\(42\) | 13023.0 | + | 7893.61i | 1.13917 | + | 0.690483i | ||||
\(43\) | 1320.52 | + | 7489.05i | 0.108912 | + | 0.617669i | 0.989586 | + | 0.143946i | \(0.0459791\pi\) |
−0.880674 | + | 0.473723i | \(0.842910\pi\) | |||||||
\(44\) | 16.2159 | − | 28.0867i | 0.00126273 | − | 0.00218710i | ||||
\(45\) | −18710.1 | − | 7728.04i | −1.37735 | − | 0.568903i | ||||
\(46\) | −6667.81 | − | 11549.0i | −0.464610 | − | 0.804729i | ||||
\(47\) | −5301.15 | + | 4448.19i | −0.350046 | + | 0.293724i | −0.800809 | − | 0.598920i | \(-0.795597\pi\) |
0.450762 | + | 0.892644i | \(0.351152\pi\) | |||||||
\(48\) | 10692.1 | − | 12204.3i | 0.669823 | − | 0.764559i | ||||
\(49\) | 2174.96 | − | 12334.8i | 0.129408 | − | 0.733908i | ||||
\(50\) | −16669.2 | − | 13987.1i | −0.942951 | − | 0.791230i | ||||
\(51\) | −5337.23 | + | 824.214i | −0.287336 | + | 0.0443726i | ||||
\(52\) | 423.685 | + | 154.209i | 0.0217288 | + | 0.00790862i | ||||
\(53\) | −1428.94 | −0.0698753 | −0.0349377 | − | 0.999389i | \(-0.511123\pi\) | ||||
−0.0349377 | + | 0.999389i | \(0.511123\pi\) | |||||||
\(54\) | −21474.9 | + | 2384.54i | −1.00218 | + | 0.111281i | ||||
\(55\) | 5040.03 | 0.224660 | ||||||||
\(56\) | −28883.7 | − | 10512.8i | −1.23079 | − | 0.447970i | ||||
\(57\) | 11473.4 | − | 29547.6i | 0.467741 | − | 1.20458i | ||||
\(58\) | 33644.4 | + | 28231.0i | 1.31324 | + | 1.10194i | ||||
\(59\) | 6586.05 | − | 37351.3i | 0.246317 | − | 1.39693i | −0.571096 | − | 0.820883i | \(-0.693482\pi\) |
0.817414 | − | 0.576051i | \(-0.195407\pi\) | |||||||
\(60\) | −682.822 | − | 135.466i | −0.0244867 | − | 0.00485795i | ||||
\(61\) | 5320.79 | − | 4464.67i | 0.183084 | − | 0.153626i | −0.546639 | − | 0.837368i | \(-0.684093\pi\) |
0.729724 | + | 0.683742i | \(0.239649\pi\) | |||||||
\(62\) | −7645.65 | − | 13242.7i | −0.252601 | − | 0.437518i | ||||
\(63\) | 19253.9 | + | 36896.0i | 0.611176 | + | 1.17119i | ||||
\(64\) | −16100.4 | + | 27886.7i | −0.491346 | + | 0.851036i | ||||
\(65\) | 12167.2 | + | 69003.6i | 0.357197 | + | 2.02576i | ||||
\(66\) | 4715.08 | − | 2589.85i | 0.133238 | − | 0.0731838i | ||||
\(67\) | 15558.7 | − | 5662.90i | 0.423434 | − | 0.154118i | −0.121509 | − | 0.992590i | \(-0.538773\pi\) |
0.544943 | + | 0.838473i | \(0.316551\pi\) | |||||||
\(68\) | −174.513 | + | 63.5176i | −0.00457674 | + | 0.00166580i | ||||
\(69\) | 776.789 | − | 36436.4i | 0.0196418 | − | 0.921325i | ||||
\(70\) | 14131.9 | + | 80145.7i | 0.344710 | + | 1.95495i | ||||
\(71\) | 2175.24 | − | 3767.63i | 0.0512108 | − | 0.0886996i | −0.839284 | − | 0.543694i | \(-0.817025\pi\) |
0.890494 | + | 0.454994i | \(0.150359\pi\) | |||||||
\(72\) | 41580.0 | − | 13155.9i | 0.945263 | − | 0.299082i | ||||
\(73\) | −24178.2 | − | 41877.8i | −0.531026 | − | 0.919765i | −0.999344 | − | 0.0362047i | \(-0.988473\pi\) |
0.468318 | − | 0.883560i | \(-0.344860\pi\) | |||||||
\(74\) | −47981.3 | + | 40261.1i | −1.01858 | + | 0.854686i | ||||
\(75\) | −19143.4 | − | 56302.1i | −0.392977 | − | 1.15577i | ||||
\(76\) | 189.277 | − | 1073.44i | 0.00375893 | − | 0.0213179i | ||||
\(77\) | −7937.50 | − | 6660.35i | −0.152566 | − | 0.128018i | ||||
\(78\) | 46840.7 | + | 58302.4i | 0.871739 | + | 1.08505i | ||||
\(79\) | −21195.8 | − | 7714.64i | −0.382105 | − | 0.139075i | 0.143824 | − | 0.989603i | \(-0.454060\pi\) |
−0.525929 | + | 0.850529i | \(0.676282\pi\) | |||||||
\(80\) | 86710.2 | 1.51476 | ||||||||
\(81\) | −53566.5 | − | 24847.9i | −0.907153 | − | 0.420802i | ||||
\(82\) | −52365.3 | −0.860022 | ||||||||
\(83\) | −34164.4 | − | 12434.8i | −0.544350 | − | 0.198127i | 0.0551843 | − | 0.998476i | \(-0.482425\pi\) |
−0.599535 | + | 0.800349i | \(0.704648\pi\) | |||||||
\(84\) | 896.352 | + | 1115.69i | 0.0138606 | + | 0.0172522i | ||||
\(85\) | −22108.5 | − | 18551.2i | −0.331904 | − | 0.278500i | ||||
\(86\) | −7532.31 | + | 42717.9i | −0.109820 | + | 0.622821i | ||||
\(87\) | 38638.4 | + | 113638.i | 0.547294 | + | 1.60963i | ||||
\(88\) | −8317.79 | + | 6979.45i | −0.114499 | + | 0.0960759i | ||||
\(89\) | 22962.3 | + | 39771.9i | 0.307284 | + | 0.532232i | 0.977767 | − | 0.209693i | \(-0.0672464\pi\) |
−0.670483 | + | 0.741925i | \(0.733913\pi\) | |||||||
\(90\) | −85210.5 | − | 77924.1i | −1.10889 | − | 1.01406i | ||||
\(91\) | 72025.6 | − | 124752.i | 0.911766 | − | 1.57922i | ||||
\(92\) | −217.627 | − | 1234.23i | −0.00268067 | − | 0.0152029i | ||||
\(93\) | 890.706 | − | 41779.8i | 0.0106789 | − | 0.500909i | ||||
\(94\) | −37092.3 | + | 13500.5i | −0.432977 | + | 0.157591i | ||||
\(95\) | 159176. | − | 57935.2i | 1.80954 | − | 0.658617i | ||||
\(96\) | 2651.37 | − | 1456.32i | 0.0293624 | − | 0.0161279i | ||||
\(97\) | 27918.1 | + | 158332.i | 0.301271 | + | 1.70859i | 0.640559 | + | 0.767909i | \(0.278703\pi\) |
−0.339288 | + | 0.940683i | \(0.610186\pi\) | |||||||
\(98\) | 35721.7 | − | 61871.9i | 0.375723 | − | 0.650771i | ||||
\(99\) | 14688.2 | + | 626.563i | 0.150620 | + | 0.00642505i | ||||
\(100\) | −1022.49 | − | 1771.01i | −0.0102249 | − | 0.0177101i | ||||
\(101\) | 33331.9 | − | 27968.8i | 0.325129 | − | 0.272816i | −0.465582 | − | 0.885005i | \(-0.654155\pi\) |
0.790712 | + | 0.612189i | \(0.209711\pi\) | |||||||
\(102\) | −30215.7 | − | 5994.55i | −0.287563 | − | 0.0570501i | ||||
\(103\) | 24292.0 | − | 137767.i | 0.225617 | − | 1.27954i | −0.635886 | − | 0.771783i | \(-0.719365\pi\) |
0.861503 | − | 0.507753i | \(-0.169524\pi\) | |||||||
\(104\) | −115636. | − | 97030.5i | −1.04836 | − | 0.879681i | ||||
\(105\) | −80505.1 | + | 207326.i | −0.712607 | + | 1.83519i | ||||
\(106\) | −7659.17 | − | 2787.71i | −0.0662090 | − | 0.0240981i | ||||
\(107\) | −56007.5 | −0.472919 | −0.236459 | − | 0.971641i | \(-0.575987\pi\) | ||||
−0.236459 | + | 0.971641i | \(0.575987\pi\) | |||||||
\(108\) | −1973.12 | − | 479.678i | −0.0162777 | − | 0.00395722i | ||||
\(109\) | −151535. | −1.22165 | −0.610826 | − | 0.791765i | \(-0.709162\pi\) | ||||
−0.610826 | + | 0.791765i | \(0.709162\pi\) | |||||||
\(110\) | 27014.8 | + | 9832.58i | 0.212873 | + | 0.0774793i | ||||
\(111\) | −169169. | + | 26124.4i | −1.30321 | + | 0.201251i | ||||
\(112\) | −136559. | − | 114587.i | −1.02867 | − | 0.863155i | ||||
\(113\) | −9672.57 | + | 54855.9i | −0.0712600 | + | 0.404135i | 0.928224 | + | 0.372021i | \(0.121335\pi\) |
−0.999484 | + | 0.0321142i | \(0.989776\pi\) | |||||||
\(114\) | 119142. | − | 135993.i | 0.858626 | − | 0.980065i | ||||
\(115\) | 149197. | − | 125191.i | 1.05200 | − | 0.882732i | ||||
\(116\) | 2063.76 | + | 3574.53i | 0.0142401 | + | 0.0246646i | ||||
\(117\) | 26880.7 | + | 202611.i | 0.181542 | + | 1.36835i | ||||
\(118\) | 108170. | − | 187356.i | 0.715158 | − | 1.23869i | ||||
\(119\) | 10303.2 | + | 58432.3i | 0.0666967 | + | 0.378256i | ||||
\(120\) | 199309. | + | 120807.i | 1.26350 | + | 0.765843i | ||||
\(121\) | 147899. | − | 53830.8i | 0.918336 | − | 0.334247i | ||||
\(122\) | 37229.8 | − | 13550.5i | 0.226460 | − | 0.0824245i | ||||
\(123\) | −122382. | − | 74179.5i | −0.729382 | − | 0.442100i | ||||
\(124\) | −249.543 | − | 1415.23i | −0.00145744 | − | 0.00826555i | ||||
\(125\) | 28734.3 | − | 49769.2i | 0.164485 | − | 0.284896i | ||||
\(126\) | 31221.2 | + | 235327.i | 0.175195 | + | 1.32052i | ||||
\(127\) | 82065.4 | + | 142141.i | 0.451493 | + | 0.782008i | 0.998479 | − | 0.0551334i | \(-0.0175584\pi\) |
−0.546986 | + | 0.837141i | \(0.684225\pi\) | |||||||
\(128\) | −145460. | + | 122055.i | −0.784727 | + | 0.658464i | ||||
\(129\) | −78116.7 | + | 89165.0i | −0.413304 | + | 0.471759i | ||||
\(130\) | −69402.2 | + | 393599.i | −0.360176 | + | 2.04266i | ||||
\(131\) | 57894.8 | + | 48579.5i | 0.294755 | + | 0.247329i | 0.778157 | − | 0.628070i | \(-0.216155\pi\) |
−0.483402 | + | 0.875398i | \(0.660599\pi\) | |||||||
\(132\) | 499.639 | − | 77.1579i | 0.00249586 | − | 0.000385430i | ||||
\(133\) | −327245. | − | 119107.i | −1.60414 | − | 0.583861i | ||||
\(134\) | 94443.0 | 0.454368 | ||||||||
\(135\) | −88758.4 | − | 302822.i | −0.419156 | − | 1.43006i | ||||
\(136\) | 62176.4 | 0.288256 | ||||||||
\(137\) | 152174. | + | 55386.7i | 0.692689 | + | 0.252118i | 0.664286 | − | 0.747478i | \(-0.268736\pi\) |
0.0284028 | + | 0.999597i | \(0.490958\pi\) | |||||||
\(138\) | 75247.2 | − | 193785.i | 0.336351 | − | 0.866209i | ||||
\(139\) | 288496. | + | 242077.i | 1.26649 | + | 1.06271i | 0.994959 | + | 0.100286i | \(0.0319756\pi\) |
0.271535 | + | 0.962429i | \(0.412469\pi\) | |||||||
\(140\) | −1328.09 | + | 7532.00i | −0.00572676 | + | 0.0324781i | ||||
\(141\) | −105812. | − | 20992.3i | −0.448217 | − | 0.0889226i | ||||
\(142\) | 19009.6 | − | 15951.0i | 0.0791139 | − | 0.0663844i | ||||
\(143\) | −25443.3 | − | 44069.1i | −0.104048 | − | 0.180216i | ||||
\(144\) | 252701. | + | 10779.6i | 1.01555 | + | 0.0433207i | ||||
\(145\) | −320717. | + | 555497.i | −1.26678 | + | 2.19413i | ||||
\(146\) | −47896.7 | − | 271636.i | −0.185962 | − | 1.05464i | ||||
\(147\) | 171131. | − | 93997.1i | 0.653183 | − | 0.358774i | ||||
\(148\) | −5531.39 | + | 2013.26i | −0.0207577 | + | 0.00755519i | ||||
\(149\) | −49809.4 | + | 18129.1i | −0.183800 | + | 0.0668977i | −0.432281 | − | 0.901739i | \(-0.642291\pi\) |
0.248481 | + | 0.968637i | \(0.420069\pi\) | |||||||
\(150\) | 7229.90 | − | 339129.i | 0.0262364 | − | 1.23066i | ||||
\(151\) | −38705.3 | − | 219509.i | −0.138143 | − | 0.783447i | −0.972619 | − | 0.232404i | \(-0.925341\pi\) |
0.834477 | − | 0.551043i | \(-0.185770\pi\) | |||||||
\(152\) | −182466. | + | 316040.i | −0.640578 | + | 1.10951i | ||||
\(153\) | −62124.9 | − | 56812.6i | −0.214554 | − | 0.196208i | ||||
\(154\) | −29551.7 | − | 51185.0i | −0.100411 | − | 0.173917i | ||||
\(155\) | 171077. | − | 143551.i | 0.571955 | − | 0.479927i | ||||
\(156\) | 2262.56 | + | 6654.34i | 0.00744370 | + | 0.0218924i | ||||
\(157\) | 72672.4 | − | 412145.i | 0.235299 | − | 1.33445i | −0.606684 | − | 0.794943i | \(-0.707501\pi\) |
0.841983 | − | 0.539504i | \(-0.181388\pi\) | |||||||
\(158\) | −98560.0 | − | 82701.6i | −0.314093 | − | 0.263555i | ||||
\(159\) | −13951.1 | − | 17364.9i | −0.0437639 | − | 0.0544728i | ||||
\(160\) | 15190.9 | + | 5529.02i | 0.0469119 | + | 0.0170745i | ||||
\(161\) | −400408. | −1.21741 | ||||||||
\(162\) | −238643. | − | 237689.i | −0.714432 | − | 0.711575i | ||||
\(163\) | 239195. | 0.705154 | 0.352577 | − | 0.935783i | \(-0.385306\pi\) | ||||
0.352577 | + | 0.935783i | \(0.385306\pi\) | |||||||
\(164\) | −4624.44 | − | 1683.16i | −0.0134261 | − | 0.00488670i | ||||
\(165\) | 49207.2 | + | 61248.0i | 0.140708 | + | 0.175139i | ||||
\(166\) | −158864. | − | 133302.i | −0.447460 | − | 0.375463i | ||||
\(167\) | −120668. | + | 684341.i | −0.334811 | + | 1.89881i | 0.0942756 | + | 0.995546i | \(0.469947\pi\) |
−0.429087 | + | 0.903263i | \(0.641165\pi\) | |||||||
\(168\) | −154244. | − | 453643.i | −0.421635 | − | 1.24005i | ||||
\(169\) | 257505. | − | 216072.i | 0.693535 | − | 0.581945i | ||||
\(170\) | −82311.0 | − | 142567.i | −0.218442 | − | 0.378352i | ||||
\(171\) | 471090. | − | 149053.i | 1.23201 | − | 0.389808i | ||||
\(172\) | −2038.25 | + | 3530.36i | −0.00525335 | + | 0.00909908i | ||||
\(173\) | −89777.4 | − | 509153.i | −0.228061 | − | 1.29340i | −0.856745 | − | 0.515739i | \(-0.827517\pi\) |
0.628684 | − | 0.777661i | \(-0.283594\pi\) | |||||||
\(174\) | −14592.5 | + | 684484.i | −0.0365391 | + | 1.71392i | ||||
\(175\) | −613952. | + | 223460.i | −1.51544 | + | 0.551576i | ||||
\(176\) | −59175.1 | + | 21538.0i | −0.143998 | + | 0.0524111i | ||||
\(177\) | 518206. | − | 284635.i | 1.24328 | − | 0.682898i | ||||
\(178\) | 45488.1 | + | 257976.i | 0.107609 | + | 0.610280i | ||||
\(179\) | −169167. | + | 293005.i | −0.394623 | + | 0.683507i | −0.993053 | − | 0.117668i | \(-0.962458\pi\) |
0.598430 | + | 0.801175i | \(0.295791\pi\) | |||||||
\(180\) | −5020.35 | − | 9620.46i | −0.0115492 | − | 0.0221317i | ||||
\(181\) | 349422. | + | 605217.i | 0.792783 | + | 1.37314i | 0.924237 | + | 0.381818i | \(0.124702\pi\) |
−0.131454 | + | 0.991322i | \(0.541965\pi\) | |||||||
\(182\) | 629438. | − | 528161.i | 1.40856 | − | 1.18192i | ||||
\(183\) | 106204. | + | 21070.1i | 0.234431 | + | 0.0465091i | ||||
\(184\) | −72861.3 | + | 413217.i | −0.158654 | + | 0.899774i | ||||
\(185\) | −700753. | − | 588002.i | −1.50534 | − | 1.26313i | ||||
\(186\) | 86282.3 | − | 222204.i | 0.182869 | − | 0.470944i | ||||
\(187\) | 19695.8 | + | 7168.69i | 0.0411880 | + | 0.0149912i | ||||
\(188\) | −3709.61 | −0.00765479 | ||||||||
\(189\) | −260392. | + | 594205.i | −0.530240 | + | 1.20999i | ||||
\(190\) | 966213. | 1.94173 | ||||||||
\(191\) | 117622. | + | 42810.9i | 0.233295 | + | 0.0849123i | 0.456022 | − | 0.889968i | \(-0.349274\pi\) |
−0.222728 | + | 0.974881i | \(0.571496\pi\) | |||||||
\(192\) | −496081. | + | 76608.5i | −0.971180 | + | 0.149977i | ||||
\(193\) | 57597.5 | + | 48330.0i | 0.111304 | + | 0.0933950i | 0.696741 | − | 0.717323i | \(-0.254633\pi\) |
−0.585437 | + | 0.810718i | \(0.699077\pi\) | |||||||
\(194\) | −159246. | + | 903130.i | −0.303784 | + | 1.72284i | ||||
\(195\) | −719762. | + | 821560.i | −1.35551 | + | 1.54722i | ||||
\(196\) | 5143.35 | − | 4315.79i | 0.00956326 | − | 0.00802453i | ||||
\(197\) | 75692.7 | + | 131104.i | 0.138959 | + | 0.240685i | 0.927103 | − | 0.374807i | \(-0.122291\pi\) |
−0.788144 | + | 0.615491i | \(0.788958\pi\) | |||||||
\(198\) | 77507.2 | + | 32013.6i | 0.140501 | + | 0.0580326i | ||||
\(199\) | 120924. | − | 209447.i | 0.216461 | − | 0.374922i | −0.737262 | − | 0.675607i | \(-0.763882\pi\) |
0.953724 | + | 0.300684i | \(0.0972151\pi\) | |||||||
\(200\) | 118889. | + | 674256.i | 0.210169 | + | 1.19193i | ||||
\(201\) | 220721. | + | 133786.i | 0.385348 | + | 0.233571i | ||||
\(202\) | 233224. | − | 84886.7i | 0.402157 | − | 0.146373i | ||||
\(203\) | 1.23918e6 | − | 451024.i | 2.11054 | − | 0.768173i | ||||
\(204\) | −2475.70 | − | 1500.60i | −0.00416508 | − | 0.00252458i | ||||
\(205\) | −132803. | − | 753161.i | −0.220710 | − | 1.25171i | ||||
\(206\) | 398976. | − | 691046.i | 0.655056 | − | 1.13459i | ||||
\(207\) | 450370. | − | 346299.i | 0.730540 | − | 0.561726i | ||||
\(208\) | −437734. | − | 758178.i | −0.701539 | − | 1.21510i | ||||
\(209\) | −94238.4 | + | 79075.4i | −0.149232 | + | 0.125221i | ||||
\(210\) | −835982. | + | 954219.i | −1.30812 | + | 1.49314i | ||||
\(211\) | 18660.3 | − | 105828.i | 0.0288544 | − | 0.163642i | −0.966976 | − | 0.254869i | \(-0.917968\pi\) |
0.995830 | + | 0.0912270i | \(0.0290789\pi\) | |||||||
\(212\) | −586.786 | − | 492.372i | −0.000896685 | − | 0.000752408i | ||||
\(213\) | 67022.8 | − | 10350.2i | 0.101222 | − | 0.0156314i | ||||
\(214\) | −300203. | − | 109265.i | −0.448105 | − | 0.163097i | ||||
\(215\) | −633506. | −0.934662 | ||||||||
\(216\) | 565831. | + | 376848.i | 0.825187 | + | 0.549581i | ||||
\(217\) | −459128. | −0.661888 | ||||||||
\(218\) | −812235. | − | 295629.i | −1.15755 | − | 0.421315i | ||||
\(219\) | 272854. | − | 702685.i | 0.384433 | − | 0.990034i | ||||
\(220\) | 2069.66 | + | 1736.65i | 0.00288299 | + | 0.00241911i | ||||
\(221\) | −50599.4 | + | 286964.i | −0.0696891 | + | 0.395227i | ||||
\(222\) | −957720. | − | 190004.i | −1.30424 | − | 0.258750i | ||||
\(223\) | −374072. | + | 313883.i | −0.503724 | + | 0.422674i | −0.858914 | − | 0.512119i | \(-0.828860\pi\) |
0.355190 | + | 0.934794i | \(0.384416\pi\) | |||||||
\(224\) | −16617.4 | − | 28782.2i | −0.0221280 | − | 0.0383269i | ||||
\(225\) | 497298. | − | 782330.i | 0.654878 | − | 1.03023i | ||||
\(226\) | −158863. | + | 275160.i | −0.206896 | + | 0.358355i | ||||
\(227\) | 32422.3 | + | 183876.i | 0.0417618 | + | 0.236843i | 0.998543 | − | 0.0539667i | \(-0.0171865\pi\) |
−0.956781 | + | 0.290810i | \(0.906075\pi\) | |||||||
\(228\) | 14892.8 | − | 8180.16i | 0.0189731 | − | 0.0104214i | ||||
\(229\) | −624170. | + | 227179.i | −0.786528 | + | 0.286273i | −0.703892 | − | 0.710307i | \(-0.748556\pi\) |
−0.0826360 | + | 0.996580i | \(0.526334\pi\) | |||||||
\(230\) | 1.04394e6 | − | 379962.i | 1.30123 | − | 0.473610i | ||||
\(231\) | 3442.72 | − | 161486.i | 0.00424494 | − | 0.199115i | ||||
\(232\) | −239962. | − | 1.36089e6i | −0.292700 | − | 1.65998i | ||||
\(233\) | 81499.7 | − | 141162.i | 0.0983482 | − | 0.170344i | −0.812653 | − | 0.582748i | \(-0.801977\pi\) |
0.911001 | + | 0.412404i | \(0.135311\pi\) | |||||||
\(234\) | −251191. | + | 1.13844e6i | −0.299892 | + | 1.35916i | ||||
\(235\) | −288244. | − | 499254.i | −0.340480 | − | 0.589728i | ||||
\(236\) | 15574.7 | − | 13068.8i | 0.0182029 | − | 0.0152741i | ||||
\(237\) | −113190. | − | 332898.i | −0.130899 | − | 0.384982i | ||||
\(238\) | −58769.8 | + | 333300.i | −0.0672530 | + | 0.381411i | ||||
\(239\) | 1.06412e6 | + | 892905.i | 1.20503 | + | 1.01114i | 0.999472 | + | 0.0324922i | \(0.0103444\pi\) |
0.205555 | + | 0.978646i | \(0.434100\pi\) | |||||||
\(240\) | 846575. | + | 1.05373e6i | 0.948718 | + | 1.18087i | ||||
\(241\) | 1.39867e6 | + | 509074.i | 1.55122 | + | 0.564597i | 0.968703 | − | 0.248224i | \(-0.0798469\pi\) |
0.582514 | + | 0.812821i | \(0.302069\pi\) | |||||||
\(242\) | 897763. | 0.985424 | ||||||||
\(243\) | −221024. | − | 893553.i | −0.240117 | − | 0.970744i | ||||
\(244\) | 3723.35 | 0.00400368 | ||||||||
\(245\) | 980485. | + | 356867.i | 1.04358 | + | 0.379832i | ||||
\(246\) | −511257. | − | 636360.i | −0.538644 | − | 0.670448i | ||||
\(247\) | −1.31013e6 | − | 1.09933e6i | −1.36638 | − | 1.14653i | ||||
\(248\) | −83546.4 | + | 473815.i | −0.0862579 | + | 0.489193i | ||||
\(249\) | −182444. | − | 536581.i | −0.186480 | − | 0.548449i | ||||
\(250\) | 251112. | − | 210708.i | 0.254107 | − | 0.213221i | ||||
\(251\) | −925163. | − | 1.60243e6i | −0.926902 | − | 1.60544i | −0.788473 | − | 0.615069i | \(-0.789128\pi\) |
−0.138429 | − | 0.990372i | \(-0.544205\pi\) | |||||||
\(252\) | −4806.84 | + | 21785.5i | −0.00476824 | + | 0.0216106i | ||||
\(253\) | −70722.8 | + | 122495.i | −0.0694637 | + | 0.120315i | ||||
\(254\) | 162571. | + | 921985.i | 0.158110 | + | 0.896684i | ||||
\(255\) | 9589.09 | − | 449790.i | 0.00923478 | − | 0.433171i | ||||
\(256\) | −49504.9 | + | 18018.3i | −0.0472115 | + | 0.0171836i | ||||
\(257\) | 379835. | − | 138249.i | 0.358726 | − | 0.130566i | −0.156369 | − | 0.987699i | \(-0.549979\pi\) |
0.515095 | + | 0.857133i | \(0.327757\pi\) | |||||||
\(258\) | −592661. | + | 325531.i | −0.554315 | + | 0.304469i | ||||
\(259\) | 326571. | + | 1.85208e6i | 0.302502 | + | 1.71557i | ||||
\(260\) | −18780.3 | + | 32528.4i | −0.0172294 | + | 0.0298421i | ||||
\(261\) | −1.00373e6 | + | 1.57902e6i | −0.912041 | + | 1.43479i | ||||
\(262\) | 215545. | + | 373335.i | 0.193992 | + | 0.336005i | ||||
\(263\) | −229128. | + | 192261.i | −0.204263 | + | 0.171397i | −0.739181 | − | 0.673507i | \(-0.764787\pi\) |
0.534918 | + | 0.844904i | \(0.320343\pi\) | |||||||
\(264\) | −166025. | − | 32938.0i | −0.146610 | − | 0.0290863i | ||||
\(265\) | 20670.9 | − | 117230.i | 0.0180819 | − | 0.102548i | ||||
\(266\) | −1.52168e6 | − | 1.27684e6i | −1.31862 | − | 1.10645i | ||||
\(267\) | −259133. | + | 667348.i | −0.222456 | + | 0.572894i | ||||
\(268\) | 8340.37 | + | 3035.65i | 0.00709330 | + | 0.00258175i | ||||
\(269\) | −658980. | −0.555254 | −0.277627 | − | 0.960689i | \(-0.589548\pi\) | ||||
−0.277627 | + | 0.960689i | \(0.589548\pi\) | |||||||
\(270\) | 115025. | − | 1.79630e6i | 0.0960250 | − | 1.49958i | ||||
\(271\) | −820179. | −0.678399 | −0.339199 | − | 0.940714i | \(-0.610156\pi\) | ||||
−0.339199 | + | 0.940714i | \(0.610156\pi\) | |||||||
\(272\) | 338853. | + | 123332.i | 0.277708 | + | 0.101078i | ||||
\(273\) | 2.21923e6 | − | 342710.i | 1.80217 | − | 0.278304i | ||||
\(274\) | 707604. | + | 593750.i | 0.569395 | + | 0.477779i | ||||
\(275\) | −40078.0 | + | 227294.i | −0.0319576 | + | 0.181241i | ||||
\(276\) | 12873.9 | − | 14694.8i | 0.0101728 | − | 0.0116115i | ||||
\(277\) | −1.71884e6 | + | 1.44228e6i | −1.34597 | + | 1.12940i | −0.365923 | + | 0.930645i | \(0.619247\pi\) |
−0.980048 | + | 0.198759i | \(0.936309\pi\) | |||||||
\(278\) | 1.07408e6 | + | 1.86037e6i | 0.833540 | + | 1.44373i | ||||
\(279\) | 516418. | − | 397084.i | 0.397183 | − | 0.305402i | ||||
\(280\) | 1.28030e6 | − | 2.21755e6i | 0.975926 | − | 1.69035i | ||||
\(281\) | −395906. | − | 2.24529e6i | −0.299106 | − | 1.69632i | −0.650026 | − | 0.759912i | \(-0.725242\pi\) |
0.350920 | − | 0.936406i | \(-0.385869\pi\) | |||||||
\(282\) | −526205. | − | 318948.i | −0.394032 | − | 0.238835i | ||||
\(283\) | 1.38550e6 | − | 504280.i | 1.02835 | − | 0.374287i | 0.227895 | − | 0.973686i | \(-0.426816\pi\) |
0.800451 | + | 0.599398i | \(0.204593\pi\) | |||||||
\(284\) | 2191.47 | − | 797.629i | 0.00161228 | − | 0.000586820i | ||||
\(285\) | 2.25812e6 | + | 1.36871e6i | 1.64678 | + | 0.998161i | ||||
\(286\) | −50403.0 | − | 285850.i | −0.0364369 | − | 0.206644i | ||||
\(287\) | −786145. | + | 1.36164e6i | −0.563376 | + | 0.975795i | ||||
\(288\) | 43583.6 | + | 18001.8i | 0.0309629 | + | 0.0127889i | ||||
\(289\) | 649918. | + | 1.12569e6i | 0.457735 | + | 0.792819i | ||||
\(290\) | −2.80277e6 | + | 2.35181e6i | −1.95701 | + | 1.64213i | ||||
\(291\) | −1.65152e6 | + | 1.88510e6i | −1.14328 | + | 1.30498i | ||||
\(292\) | 4501.28 | − | 25528.0i | 0.00308943 | − | 0.0175210i | ||||
\(293\) | −1.65170e6 | − | 1.38594e6i | −1.12399 | − | 0.943138i | −0.125189 | − | 0.992133i | \(-0.539954\pi\) |
−0.998799 | + | 0.0489951i | \(0.984398\pi\) | |||||||
\(294\) | 1.10065e6 | − | 169970.i | 0.742642 | − | 0.114684i | ||||
\(295\) | 2.96904e6 | + | 1.08064e6i | 1.98637 | + | 0.722980i | ||||
\(296\) | 1.97075e6 | 1.30738 | ||||||||
\(297\) | 135791. | + | 184613.i | 0.0893264 | + | 0.121443i | ||||
\(298\) | −302348. | −0.197227 | ||||||||
\(299\) | −1.84783e6 | − | 672555.i | −1.19532 | − | 0.435061i | ||||
\(300\) | 11539.0 | − | 29716.5i | 0.00740225 | − | 0.0190631i | ||||
\(301\) | 997702. | + | 837171.i | 0.634724 | + | 0.532596i | ||||
\(302\) | 220777. | − | 1.25209e6i | 0.139295 | − | 0.789982i | ||||
\(303\) | 665313. | + | 131993.i | 0.416312 | + | 0.0825930i | ||||
\(304\) | −1.62130e6 | + | 1.36044e6i | −1.00619 | + | 0.844295i | ||||
\(305\) | 289312. | + | 501104.i | 0.178081 | + | 0.308445i | ||||
\(306\) | −222157. | − | 425717.i | −0.135630 | − | 0.259907i | ||||
\(307\) | 510371. | − | 883988.i | 0.309058 | − | 0.535304i | −0.669099 | − | 0.743174i | \(-0.733320\pi\) |
0.978157 | + | 0.207870i | \(0.0666530\pi\) | |||||||
\(308\) | −964.522 | − | 5470.08i | −0.000579342 | − | 0.00328561i | ||||
\(309\) | 1.91136e6 | − | 1.04985e6i | 1.13880 | − | 0.625507i | ||||
\(310\) | 1.19703e6 | − | 435684.i | 0.707459 | − | 0.257494i | ||||
\(311\) | −1.97227e6 | + | 717847.i | −1.15629 | + | 0.420854i | −0.847769 | − | 0.530365i | \(-0.822055\pi\) |
−0.308517 | + | 0.951219i | \(0.599833\pi\) | |||||||
\(312\) | 50154.8 | − | 2.35259e6i | 0.0291693 | − | 1.36823i | ||||
\(313\) | −66359.5 | − | 376343.i | −0.0382862 | − | 0.217132i | 0.959662 | − | 0.281156i | \(-0.0907177\pi\) |
−0.997948 | + | 0.0640239i | \(0.979607\pi\) | |||||||
\(314\) | 1.19358e6 | − | 2.06734e6i | 0.683168 | − | 1.18328i | ||||
\(315\) | −3.30548e6 | + | 1.04586e6i | −1.87697 | + | 0.593875i | ||||
\(316\) | −6045.70 | − | 10471.5i | −0.00340587 | − | 0.00589915i | ||||
\(317\) | 1.01522e6 | − | 851871.i | 0.567430 | − | 0.476130i | −0.313362 | − | 0.949634i | \(-0.601455\pi\) |
0.880792 | + | 0.473504i | \(0.157011\pi\) | |||||||
\(318\) | −40901.4 | − | 120294.i | −0.0226814 | − | 0.0667076i | ||||
\(319\) | 80891.8 | − | 458760.i | 0.0445070 | − | 0.252412i | ||||
\(320\) | −2.05493e6 | − | 1.72429e6i | −1.12182 | − | 0.941315i | ||||
\(321\) | −546816. | − | 680620.i | −0.296196 | − | 0.368674i | ||||
\(322\) | −2.14620e6 | − | 781154.i | −1.15354 | − | 0.419853i | ||||
\(323\) | 704443. | 0.375698 | ||||||||
\(324\) | −13434.9 | − | 28661.2i | −0.00711003 | − | 0.0151681i | ||||
\(325\) | −3.20865e6 | −1.68506 | ||||||||
\(326\) | 1.28210e6 | + | 466645.i | 0.668155 | + | 0.243188i | ||||
\(327\) | −1.47948e6 | − | 1.84150e6i | −0.765137 | − | 0.952364i | ||||
\(328\) | 1.26215e6 | + | 1.05907e6i | 0.647778 | + | 0.543551i | ||||
\(329\) | −205806. | + | 1.16718e6i | −0.104826 | + | 0.594496i | ||||
\(330\) | 144264. | + | 424290.i | 0.0729245 | + | 0.214476i | ||||
\(331\) | 1.67508e6 | − | 1.40556e6i | 0.840363 | − | 0.705148i | −0.117283 | − | 0.993099i | \(-0.537418\pi\) |
0.957645 | + | 0.287951i | \(0.0929739\pi\) | |||||||
\(332\) | −9744.74 | − | 16878.4i | −0.00485205 | − | 0.00840399i | ||||
\(333\) | −1.96912e6 | − | 1.80074e6i | −0.973107 | − | 0.889897i | ||||
\(334\) | −1.98186e6 | + | 3.43269e6i | −0.972092 | + | 1.68371i | ||||
\(335\) | 239515. | + | 1.35836e6i | 0.116606 | + | 0.661305i | ||||
\(336\) | 59229.5 | − | 2.77825e6i | 0.0286214 | − | 1.34253i | ||||
\(337\) | 352011. | − | 128122.i | 0.168843 | − | 0.0614537i | −0.256216 | − | 0.966620i | \(-0.582476\pi\) |
0.425058 | + | 0.905166i | \(0.360254\pi\) | |||||||
\(338\) | 1.80177e6 | − | 655791.i | 0.857843 | − | 0.312229i | ||||
\(339\) | −761061. | + | 418028.i | −0.359683 | + | 0.197563i | ||||
\(340\) | −2686.50 | − | 15235.9i | −0.00126035 | − | 0.00714779i | ||||
\(341\) | −81094.3 | + | 140459.i | −0.0377663 | + | 0.0654132i | ||||
\(342\) | 2.81585e6 | + | 120117.i | 1.30180 | + | 0.0555315i | ||||
\(343\) | 366675. | + | 635099.i | 0.168285 | + | 0.291478i | ||||
\(344\) | 1.04550e6 | − | 877281.i | 0.476353 | − | 0.399708i | ||||
\(345\) | 2.97801e6 | + | 590813.i | 1.34703 | + | 0.267240i | ||||
\(346\) | 512094. | − | 2.90423e6i | 0.229964 | − | 1.30419i | ||||
\(347\) | 359203. | + | 301407.i | 0.160146 | + | 0.134378i | 0.719339 | − | 0.694659i | \(-0.244445\pi\) |
−0.559193 | + | 0.829037i | \(0.688889\pi\) | |||||||
\(348\) | −23289.8 | + | 59978.5i | −0.0103090 | + | 0.0265490i | ||||
\(349\) | −655226. | − | 238483.i | −0.287957 | − | 0.104808i | 0.194003 | − | 0.981001i | \(-0.437853\pi\) |
−0.481960 | + | 0.876193i | \(0.660075\pi\) | |||||||
\(350\) | −3.72676e6 | −1.62615 | ||||||||
\(351\) | −2.19975e6 | + | 2.30481e6i | −0.953026 | + | 0.998543i | ||||
\(352\) | −11740.3 | −0.00505037 | ||||||||
\(353\) | −746614. | − | 271745.i | −0.318903 | − | 0.116071i | 0.177609 | − | 0.984101i | \(-0.443164\pi\) |
−0.496512 | + | 0.868030i | \(0.665386\pi\) | |||||||
\(354\) | 3.33290e6 | − | 514691.i | 1.41356 | − | 0.218292i | ||||
\(355\) | 277630. | + | 232959.i | 0.116922 | + | 0.0981090i | ||||
\(356\) | −4274.92 | + | 24244.3i | −0.00178773 | + | 0.0101387i | ||||
\(357\) | −609494. | + | 695698.i | −0.253104 | + | 0.288902i | ||||
\(358\) | −1.47836e6 | + | 1.24049e6i | −0.609641 | + | 0.511549i | ||||
\(359\) | 1.61932e6 | + | 2.80475e6i | 0.663129 | + | 1.14857i | 0.979789 | + | 0.200033i | \(0.0641051\pi\) |
−0.316661 | + | 0.948539i | \(0.602562\pi\) | |||||||
\(360\) | 477822. | + | 3.60154e6i | 0.194317 | + | 1.46464i | ||||
\(361\) | −829239. | + | 1.43628e6i | −0.334897 | + | 0.580059i | ||||
\(362\) | 692203. | + | 3.92568e6i | 0.277627 | + | 1.57450i | ||||
\(363\) | 2.09814e6 | + | 1.27175e6i | 0.835736 | + | 0.506564i | ||||
\(364\) | 72562.9 | − | 26410.7i | 0.0287052 | − | 0.0104479i | ||||
\(365\) | 3.78542e6 | − | 1.37778e6i | 1.48724 | − | 0.541312i | ||||
\(366\) | 528154. | + | 320130.i | 0.206091 | + | 0.124918i | ||||
\(367\) | −148483. | − | 842086.i | −0.0575453 | − | 0.326356i | 0.942422 | − | 0.334426i | \(-0.108542\pi\) |
−0.999967 | + | 0.00806992i | \(0.997431\pi\) | |||||||
\(368\) | −1.21673e6 | + | 2.10745e6i | −0.468356 | + | 0.811217i | ||||
\(369\) | −293398. | − | 2.21146e6i | −0.112174 | − | 0.845499i | ||||
\(370\) | −2.60894e6 | − | 4.51881e6i | −0.990739 | − | 1.71601i | ||||
\(371\) | −187473. | + | 157309.i | −0.0707138 | + | 0.0593359i | ||||
\(372\) | 14761.9 | − | 16849.8i | 0.00553077 | − | 0.00631301i | ||||
\(373\) | 130100. | − | 737836.i | 0.0484180 | − | 0.274592i | −0.950981 | − | 0.309248i | \(-0.899923\pi\) |
0.999399 | + | 0.0346563i | \(0.0110337\pi\) | |||||||
\(374\) | 91585.1 | + | 76849.0i | 0.0338568 | + | 0.0284092i | ||||
\(375\) | 885352. | − | 136723.i | 0.325115 | − | 0.0502067i | ||||
\(376\) | 1.16707e6 | + | 424779.i | 0.425724 | + | 0.154951i | ||||
\(377\) | 6.47622e6 | 2.34676 | ||||||||
\(378\) | −2.55494e6 | + | 2.67697e6i | −0.919711 | + | 0.963637i | ||||
\(379\) | −374614. | −0.133963 | −0.0669816 | − | 0.997754i | \(-0.521337\pi\) | ||||
−0.0669816 | + | 0.997754i | \(0.521337\pi\) | |||||||
\(380\) | 85327.4 | + | 31056.6i | 0.0303130 | + | 0.0110330i | ||||
\(381\) | −926120. | + | 2.38505e6i | −0.326855 | + | 0.841753i | ||||
\(382\) | 546939. | + | 458936.i | 0.191770 | + | 0.160914i | ||||
\(383\) | −573.937 | + | 3254.96i | −0.000199925 | + | 0.00113383i | −0.984908 | − | 0.173081i | \(-0.944628\pi\) |
0.984708 | + | 0.174215i | \(0.0557388\pi\) | |||||||
\(384\) | −2.90342e6 | − | 576015.i | −1.00481 | − | 0.199345i | ||||
\(385\) | 661239. | − | 554846.i | 0.227356 | − | 0.190775i | ||||
\(386\) | 214438. | + | 371418.i | 0.0732544 | + | 0.126880i | ||||
\(387\) | −1.84624e6 | − | 78755.7i | −0.626628 | − | 0.0267303i | ||||
\(388\) | −43092.2 | + | 74637.8i | −0.0145318 | + | 0.0251698i | ||||
\(389\) | −649609. | − | 3.68412e6i | −0.217660 | − | 1.23441i | −0.876231 | − | 0.481891i | \(-0.839950\pi\) |
0.658571 | − | 0.752519i | \(-0.271161\pi\) | |||||||
\(390\) | −5.46073e6 | + | 2.99942e6i | −1.81798 | + | 0.998563i | ||||
\(391\) | 761109. | − | 277021.i | 0.251771 | − | 0.0916370i | ||||
\(392\) | −2.11233e6 | + | 768825.i | −0.694299 | + | 0.252704i | ||||
\(393\) | −25110.6 | + | 1.17785e6i | −0.00820117 | + | 0.384688i | ||||
\(394\) | 149947. | + | 850389.i | 0.0486627 | + | 0.275980i | ||||
\(395\) | 939527. | − | 1.62731e6i | 0.302982 | − | 0.524780i | ||||
\(396\) | 5815.75 | + | 5318.45i | 0.00186367 | + | 0.00170430i | ||||
\(397\) | −692020. | − | 1.19861e6i | −0.220365 | − | 0.381683i | 0.734554 | − | 0.678550i | \(-0.237392\pi\) |
−0.954919 | + | 0.296867i | \(0.904058\pi\) | |||||||
\(398\) | 1.05677e6 | − | 886734.i | 0.334404 | − | 0.280599i | ||||
\(399\) | −1.74755e6 | − | 5.13966e6i | −0.549537 | − | 1.61622i | ||||
\(400\) | −689514. | + | 3.91043e6i | −0.215473 | + | 1.22201i | ||||
\(401\) | 1.47773e6 | + | 1.23996e6i | 0.458916 | + | 0.385076i | 0.842732 | − | 0.538333i | \(-0.180946\pi\) |
−0.383816 | + | 0.923410i | \(0.625390\pi\) | |||||||
\(402\) | 922072. | + | 1.14770e6i | 0.284577 | + | 0.354212i | ||||
\(403\) | −2.11882e6 | − | 771186.i | −0.649876 | − | 0.236536i | ||||
\(404\) | 23324.8 | 0.00710992 | ||||||||
\(405\) | 2.81341e6 | − | 4.03515e6i | 0.852307 | − | 1.22243i | ||||
\(406\) | 7.52194e6 | 2.26472 | ||||||||
\(407\) | 624281. | + | 227220.i | 0.186807 | + | 0.0679923i | ||||
\(408\) | 607045. | + | 755587.i | 0.180539 | + | 0.224716i | ||||
\(409\) | −4.46374e6 | − | 3.74552e6i | −1.31944 | − | 1.10714i | −0.986423 | − | 0.164223i | \(-0.947488\pi\) |
−0.333019 | − | 0.942920i | \(-0.608067\pi\) | |||||||
\(410\) | 757512. | − | 4.29606e6i | 0.222551 | − | 1.26215i | ||||
\(411\) | 812637. | + | 2.39002e6i | 0.237297 | + | 0.697905i | ||||
\(412\) | 57446.0 | − | 48202.9i | 0.0166731 | − | 0.0139904i | ||||
\(413\) | −3.24785e6 | − | 5.62544e6i | −0.936959 | − | 1.62286i | ||||
\(414\) | 3.08960e6 | − | 977549.i | 0.885933 | − | 0.280310i | ||||
\(415\) | 1.51437e6 | − | 2.62297e6i | 0.431631 | − | 0.747607i | ||||
\(416\) | −28342.4 | − | 160738.i | −0.00802979 | − | 0.0455392i | ||||
\(417\) | −125129. | + | 5.86936e6i | −0.0352385 | + | 1.65291i | ||||
\(418\) | −659390. | + | 239998.i | −0.184587 | + | 0.0671842i | ||||
\(419\) | −4.71805e6 | + | 1.71723e6i | −1.31289 | + | 0.477852i | −0.901172 | − | 0.433461i | \(-0.857292\pi\) |
−0.411714 | + | 0.911313i | \(0.635070\pi\) | |||||||
\(420\) | −104498. | + | 57397.5i | −0.0289057 | + | 0.0158770i | ||||
\(421\) | −186623. | − | 1.05839e6i | −0.0513168 | − | 0.291032i | 0.948339 | − | 0.317258i | \(-0.102762\pi\) |
−0.999656 | + | 0.0262260i | \(0.991651\pi\) | |||||||
\(422\) | 306479. | − | 530837.i | 0.0837760 | − | 0.145104i | ||||
\(423\) | −777969. | − | 1.49082e6i | −0.211403 | − | 0.405110i | ||||
\(424\) | 128227. | + | 222095.i | 0.0346389 | + | 0.0599964i | ||||
\(425\) | 1.01242e6 | − | 849523.i | 0.271888 | − | 0.228141i | ||||
\(426\) | 379437. | + | 75277.2i | 0.101301 | + | 0.0200974i | ||||
\(427\) | 206568. | − | 1.17151e6i | 0.0548269 | − | 0.310939i | ||||
\(428\) | −22999.2 | − | 19298.6i | −0.00606880 | − | 0.00509233i | ||||
\(429\) | 287131. | − | 739453.i | 0.0753247 | − | 0.193985i | ||||
\(430\) | −3.39562e6 | − | 1.23590e6i | −0.885621 | − | 0.322340i | ||||
\(431\) | −2.16988e6 | −0.562654 | −0.281327 | − | 0.959612i | \(-0.590775\pi\) | ||||
−0.281327 | + | 0.959612i | \(0.590775\pi\) | |||||||
\(432\) | 2.33619e6 | + | 3.17614e6i | 0.602280 | + | 0.818824i | ||||
\(433\) | 2.36558e6 | 0.606343 | 0.303171 | − | 0.952936i | \(-0.401955\pi\) | ||||
0.303171 | + | 0.952936i | \(0.401955\pi\) | |||||||
\(434\) | −2.46094e6 | − | 895711.i | −0.627159 | − | 0.228267i | ||||
\(435\) | −9.88182e6 | + | 1.52602e6i | −2.50388 | + | 0.386668i | ||||
\(436\) | −62227.1 | − | 52214.8i | −0.0156770 | − | 0.0131546i | ||||
\(437\) | −825499. | + | 4.68164e6i | −0.206782 | + | 1.17272i | ||||
\(438\) | 2.83337e6 | − | 3.23411e6i | 0.705698 | − | 0.805507i | ||||
\(439\) | 5.90020e6 | − | 4.95085e6i | 1.46118 | − | 1.22608i | 0.537310 | − | 0.843385i | \(-0.319440\pi\) |
0.923875 | − | 0.382695i | \(-0.125004\pi\) | |||||||
\(440\) | −452271. | − | 783357.i | −0.111370 | − | 0.192898i | ||||
\(441\) | 2.81308e6 | + | 1.16192e6i | 0.688787 | + | 0.284497i | ||||
\(442\) | −831051. | + | 1.43942e6i | −0.202336 | + | 0.350455i | ||||
\(443\) | 349582. | + | 1.98258e6i | 0.0846331 | + | 0.479978i | 0.997435 | + | 0.0715760i | \(0.0228028\pi\) |
−0.912802 | + | 0.408402i | \(0.866086\pi\) | |||||||
\(444\) | −78470.2 | − | 47563.1i | −0.0188907 | − | 0.0114502i | ||||
\(445\) | −3.59506e6 | + | 1.30850e6i | −0.860610 | + | 0.313236i | ||||
\(446\) | −2.61739e6 | + | 952653.i | −0.623063 | + | 0.226776i | ||||
\(447\) | −706613. | − | 428299.i | −0.167268 | − | 0.101386i | ||||
\(448\) | 957654. | + | 5.43113e6i | 0.225431 | + | 1.27848i | ||||
\(449\) | −553618. | + | 958895.i | −0.129597 | + | 0.224468i | −0.923520 | − | 0.383549i | \(-0.874702\pi\) |
0.793924 | + | 0.608018i | \(0.208035\pi\) | |||||||
\(450\) | 4.19178e6 | − | 3.22314e6i | 0.975815 | − | 0.750323i | ||||
\(451\) | 277709. | + | 481006.i | 0.0642907 | + | 0.111355i | ||||
\(452\) | −22873.8 | + | 19193.4i | −0.00526613 | + | 0.00441881i | ||||
\(453\) | 2.28965e6 | − | 2.61348e6i | 0.524232 | − | 0.598376i | ||||
\(454\) | −184938. | + | 1.04884e6i | −0.0421101 | + | 0.238818i | ||||
\(455\) | 9.19276e6 | + | 7.71364e6i | 2.08170 | + | 1.74675i | ||||
\(456\) | −5.62207e6 | + | 868202.i | −1.26615 | + | 0.195528i | ||||
\(457\) | 3.56091e6 | + | 1.29607e6i | 0.797574 | + | 0.290293i | 0.708481 | − | 0.705730i | \(-0.249381\pi\) |
0.0890930 | + | 0.996023i | \(0.471603\pi\) | |||||||
\(458\) | −3.78878e6 | −0.843987 | ||||||||
\(459\) | 83862.3 | − | 1.30964e6i | 0.0185795 | − | 0.290148i | ||||
\(460\) | 104404. | 0.0230051 | ||||||||
\(461\) | 1.32800e6 | + | 483353.i | 0.291036 | + | 0.105928i | 0.483412 | − | 0.875393i | \(-0.339397\pi\) |
−0.192377 | + | 0.981321i | \(0.561619\pi\) | |||||||
\(462\) | 333495. | − | 858854.i | 0.0726916 | − | 0.187204i | ||||
\(463\) | −2.97520e6 | − | 2.49649e6i | −0.645006 | − | 0.541224i | 0.260545 | − | 0.965462i | \(-0.416098\pi\) |
−0.905551 | + | 0.424238i | \(0.860542\pi\) | |||||||
\(464\) | 1.39169e6 | − | 7.89265e6i | 0.300087 | − | 1.70188i | ||||
\(465\) | 3.41474e6 | + | 677456.i | 0.732361 | + | 0.145294i | ||||
\(466\) | 712234. | − | 597635.i | 0.151935 | − | 0.127489i | ||||
\(467\) | 1.92081e6 | + | 3.32694e6i | 0.407560 | + | 0.705915i | 0.994616 | − | 0.103632i | \(-0.0330464\pi\) |
−0.587056 | + | 0.809546i | \(0.699713\pi\) | |||||||
\(468\) | −58775.6 | + | 92463.4i | −0.0124046 | + | 0.0195144i | ||||
\(469\) | 1.41784e6 | − | 2.45578e6i | 0.297644 | − | 0.515534i | ||||
\(470\) | −571010. | − | 3.23836e6i | −0.119234 | − | 0.676208i | ||||
\(471\) | 5.71804e6 | − | 3.14075e6i | 1.18767 | − | 0.652351i | ||||
\(472\) | −6.39640e6 | + | 2.32810e6i | −1.32154 | + | 0.481002i | ||||
\(473\) | 432334. | − | 157357.i | 0.0888519 | − | 0.0323395i | ||||
\(474\) | 42748.3 | − | 2.00517e6i | 0.00873922 | − | 0.409926i | ||||
\(475\) | 1.34699e6 | + | 7.63914e6i | 0.273923 | + | 1.55350i | ||||
\(476\) | −15903.2 | + | 27545.1i | −0.00321711 | + | 0.00557220i | ||||
\(477\) | 74815.2 | − | 339076.i | 0.0150554 | − | 0.0682341i | ||||
\(478\) | 3.96178e6 | + | 6.86200e6i | 0.793086 | + | 1.37367i | ||||
\(479\) | −1.55050e6 | + | 1.30102e6i | −0.308768 | + | 0.259087i | −0.783983 | − | 0.620783i | \(-0.786815\pi\) |
0.475214 | + | 0.879870i | \(0.342370\pi\) | |||||||
\(480\) | 81122.1 | + | 238585.i | 0.0160708 | + | 0.0472651i | ||||
\(481\) | −1.60380e6 | + | 9.09563e6i | −0.316074 | + | 1.79254i | ||||
\(482\) | 6.50378e6 | + | 5.45732e6i | 1.27511 | + | 1.06995i | ||||
\(483\) | −3.90929e6 | − | 4.86588e6i | −0.762482 | − | 0.949059i | ||||
\(484\) | 79282.5 | + | 28856.5i | 0.0153838 | + | 0.00559925i | ||||
\(485\) | −1.33934e7 | −2.58545 | ||||||||
\(486\) | 558531. | − | 5.22068e6i | 0.107265 | − | 1.00262i | ||||
\(487\) | −4.43291e6 | −0.846967 | −0.423484 | − | 0.905904i | \(-0.639193\pi\) | ||||
−0.423484 | + | 0.905904i | \(0.639193\pi\) | |||||||
\(488\) | −1.17139e6 | − | 426353.i | −0.222666 | − | 0.0810438i | ||||
\(489\) | 2.33533e6 | + | 2.90678e6i | 0.441648 | + | 0.549717i | ||||
\(490\) | 4.55923e6 | + | 3.82565e6i | 0.857830 | + | 0.719805i | ||||
\(491\) | −251122. | + | 1.42419e6i | −0.0470090 | + | 0.266602i | −0.999249 | − | 0.0387493i | \(-0.987663\pi\) |
0.952240 | + | 0.305351i | \(0.0987737\pi\) | |||||||
\(492\) | −24695.4 | − | 72630.8i | −0.00459943 | − | 0.0135272i | ||||
\(493\) | −2.04343e6 | + | 1.71464e6i | −0.378654 | + | 0.317729i | ||||
\(494\) | −4.87768e6 | − | 8.44839e6i | −0.899282 | − | 1.55760i | ||||
\(495\) | −263882. | + | 1.19596e6i | −0.0484057 | + | 0.219384i | ||||
\(496\) | −1.39517e6 | + | 2.41651e6i | −0.254638 | + | 0.441046i | ||||
\(497\) | −129383. | − | 733770.i | −0.0234957 | − | 0.133251i | ||||
\(498\) | 68903.7 | − | 3.23203e6i | 0.0124500 | − | 0.583985i | ||||
\(499\) | 4.11362e6 | − | 1.49723e6i | 0.739558 | − | 0.269177i | 0.0553531 | − | 0.998467i | \(-0.482372\pi\) |
0.684205 | + | 0.729290i | \(0.260149\pi\) | |||||||
\(500\) | 28948.7 | − | 10536.4i | 0.00517849 | − | 0.00188482i | ||||
\(501\) | −9.49443e6 | + | 5.21501e6i | −1.68995 | + | 0.928242i | ||||
\(502\) | −1.83274e6 | − | 1.03940e7i | −0.324595 | − | 1.84087i | ||||
\(503\) | −66422.0 | + | 115046.i | −0.0117056 | + | 0.0202746i | −0.871819 | − | 0.489828i | \(-0.837059\pi\) |
0.860113 | + | 0.510103i | \(0.170393\pi\) | |||||||
\(504\) | 4.00688e6 | − | 6.30346e6i | 0.702635 | − | 1.10536i | ||||
\(505\) | 1.81239e6 | + | 3.13915e6i | 0.316244 | + | 0.547751i | ||||
\(506\) | −618053. | + | 518608.i | −0.107312 | + | 0.0900457i | ||||
\(507\) | 5.13986e6 | + | 1.01971e6i | 0.888038 | + | 0.176180i | ||||
\(508\) | −15278.2 | + | 86647.0i | −0.00262672 | + | 0.0148968i | ||||
\(509\) | −3.15217e6 | − | 2.64498e6i | −0.539280 | − | 0.452510i | 0.332011 | − | 0.943275i | \(-0.392273\pi\) |
−0.871292 | + | 0.490765i | \(0.836717\pi\) | |||||||
\(510\) | 928891. | − | 2.39219e6i | 0.158139 | − | 0.407258i | ||||
\(511\) | −7.78234e6 | − | 2.83254e6i | −1.31843 | − | 0.479870i | ||||
\(512\) | 5.77581e6 | 0.973728 | ||||||||
\(513\) | 6.41072e6 | + | 4.26959e6i | 1.07551 | + | 0.716296i | ||||
\(514\) | 2.30564e6 | 0.384932 | ||||||||
\(515\) | 1.09510e7 | + | 3.98585e6i | 1.81944 | + | 0.662220i | ||||
\(516\) | −62802.0 | + | 9698.35i | −0.0103836 | + | 0.00160352i | ||||
\(517\) | 320722. | + | 269117.i | 0.0527718 | + | 0.0442808i | ||||
\(518\) | −1.86277e6 | + | 1.05643e7i | −0.305025 | + | 1.72988i | ||||
\(519\) | 5.31086e6 | − | 6.06200e6i | 0.865459 | − | 0.987865i | ||||
\(520\) | 9.63319e6 | − | 8.08320e6i | 1.56229 | − | 1.31092i | ||||
\(521\) | 629944. | + | 1.09110e6i | 0.101674 | + | 0.176104i | 0.912374 | − | 0.409357i | \(-0.134247\pi\) |
−0.810701 | + | 0.585461i | \(0.800914\pi\) | |||||||
\(522\) | −8.46053e6 | + | 6.50547e6i | −1.35901 | + | 1.04497i | ||||
\(523\) | 970649. | − | 1.68121e6i | 0.155170 | − | 0.268762i | −0.777951 | − | 0.628325i | \(-0.783741\pi\) |
0.933121 | + | 0.359563i | \(0.117074\pi\) | |||||||
\(524\) | 7035.06 | + | 39897.8i | 0.00111928 | + | 0.00634777i | ||||
\(525\) | −8.70974e6 | − | 5.27924e6i | −1.37914 | − | 0.835935i | ||||
\(526\) | −1.60322e6 | + | 583524.i | −0.252655 | + | 0.0919590i | ||||
\(527\) | 872726. | − | 317646.i | 0.136884 | − | 0.0498216i | ||||
\(528\) | −839479. | − | 508833.i | −0.131046 | − | 0.0794311i | ||||
\(529\) | −168515. | − | 955698.i | −0.0261818 | − | 0.148485i | ||||
\(530\) | 339501. | − | 588033.i | 0.0524990 | − | 0.0909310i | ||||
\(531\) | 8.51836e6 | + | 3.51843e6i | 1.31105 | + | 0.541517i | ||||
\(532\) | −93340.3 | − | 161670.i | −0.0142985 | − | 0.0247657i | ||||
\(533\) | −5.91508e6 | + | 4.96334e6i | −0.901868 | + | 0.756757i | ||||
\(534\) | −2.69089e6 | + | 3.07147e6i | −0.408360 | + | 0.466116i | ||||
\(535\) | 810199. | − | 4.59486e6i | 0.122379 | − | 0.694046i | ||||
\(536\) | −2.27634e6 | − | 1.91008e6i | −0.342235 | − | 0.287170i | ||||
\(537\) | −5.21231e6 | + | 804924.i | −0.780000 | + | 0.120453i | ||||
\(538\) | −3.53216e6 | − | 1.28560e6i | −0.526120 | − | 0.191492i | ||||
\(539\) | −757772. | −0.112348 | ||||||||
\(540\) | 67895.8 | − | 154936.i | 0.0100198 | − | 0.0228648i | ||||
\(541\) | 128241. | 0.0188379 | 0.00941897 | − | 0.999956i | \(-0.497002\pi\) | ||||
0.00941897 | + | 0.999956i | \(0.497002\pi\) | |||||||
\(542\) | −4.39619e6 | − | 1.60008e6i | −0.642804 | − | 0.233961i | ||||
\(543\) | −3.94328e6 | + | 1.01552e7i | −0.573929 | + | 1.47805i | ||||
\(544\) | 51499.8 | + | 43213.5i | 0.00746120 | + | 0.00626069i | ||||
\(545\) | 2.19209e6 | − | 1.24320e7i | 0.316131 | − | 1.79287i | ||||
\(546\) | 1.25638e7 | + | 2.49255e6i | 1.80359 | + | 0.357817i | ||||
\(547\) | 2.17955e6 | − | 1.82886e6i | 0.311457 | − | 0.261343i | −0.473637 | − | 0.880720i | \(-0.657059\pi\) |
0.785094 | + | 0.619377i | \(0.212615\pi\) | |||||||
\(548\) | 43404.6 | + | 75179.0i | 0.00617426 | + | 0.0106941i | ||||
\(549\) | 780851. | + | 1.49634e6i | 0.110570 | + | 0.211885i | ||||
\(550\) | −658246. | + | 1.14012e6i | −0.0927858 | + | 0.160710i | ||||
\(551\) | −2.71870e6 | − | 1.54185e7i | −0.381490 | − | 2.16354i | ||||
\(552\) | −5.73290e6 | + | 3.14891e6i | −0.800805 | + | 0.439859i | ||||
\(553\) | −3.63012e6 | + | 1.32126e6i | −0.504787 | + | 0.183728i | ||||
\(554\) | −1.20268e7 | + | 4.37739e6i | −1.66485 | + | 0.605956i | ||||
\(555\) | 303937. | − | 1.42566e7i | 0.0418842 | − | 1.96464i | ||||
\(556\) | 35056.5 | + | 198815.i | 0.00480930 | + | 0.0272749i | ||||
\(557\) | 537968. | − | 931788.i | 0.0734715 | − | 0.127256i | −0.826949 | − | 0.562277i | \(-0.809926\pi\) |
0.900421 | + | 0.435021i | \(0.143259\pi\) | |||||||
\(558\) | 3.54269e6 | − | 1.12091e6i | 0.481668 | − | 0.152400i | ||||
\(559\) | 3.19809e6 | + | 5.53926e6i | 0.432874 | + | 0.749760i | ||||
\(560\) | 1.13762e7 | − | 9.54573e6i | 1.53294 | − | 1.28629i | ||||
\(561\) | 105179. | + | 309340.i | 0.0141099 | + | 0.0414981i | ||||
\(562\) | 2.25826e6 | − | 1.28072e7i | 0.301601 | − | 1.71047i | ||||
\(563\) | −3.37213e6 | − | 2.82955e6i | −0.448367 | − | 0.376224i | 0.390463 | − | 0.920619i | \(-0.372315\pi\) |
−0.838829 | + | 0.544395i | \(0.816759\pi\) | |||||||
\(564\) | −36217.9 | − | 45080.3i | −0.00479430 | − | 0.00596745i | ||||
\(565\) | −4.36046e6 | − | 1.58708e6i | −0.574661 | − | 0.209159i | ||||
\(566\) | 8.41012e6 | 1.10347 | ||||||||
\(567\) | −9.76323e6 | + | 2.63702e6i | −1.27537 | + | 0.344474i | ||||
\(568\) | −780787. | −0.101546 | ||||||||
\(569\) | −2.37185e6 | − | 863283.i | −0.307119 | − | 0.111782i | 0.183863 | − | 0.982952i | \(-0.441140\pi\) |
−0.490982 | + | 0.871170i | \(0.663362\pi\) | |||||||
\(570\) | 9.43340e6 | + | 1.17417e7i | 1.21613 | + | 1.51372i | ||||
\(571\) | 6.63834e6 | + | 5.57023e6i | 0.852058 | + | 0.714961i | 0.960242 | − | 0.279169i | \(-0.0900591\pi\) |
−0.108184 | + | 0.994131i | \(0.534504\pi\) | |||||||
\(572\) | 4736.81 | − | 26863.8i | 0.000605335 | − | 0.00343303i | ||||
\(573\) | 628123. | + | 1.84735e6i | 0.0799205 | + | 0.235051i | ||||
\(574\) | −6.87020e6 | + | 5.76478e6i | −0.870341 | + | 0.730303i | ||||
\(575\) | 4.45942e6 | + | 7.72394e6i | 0.562482 | + | 0.974248i | ||||
\(576\) | −5.77434e6 | − | 5.28058e6i | −0.725181 | − | 0.663171i | ||||
\(577\) | 4.96402e6 | − | 8.59793e6i | 0.620717 | − | 1.07511i | −0.368636 | − | 0.929574i | \(-0.620175\pi\) |
0.989352 | − | 0.145539i | \(-0.0464917\pi\) | |||||||
\(578\) | 1.28748e6 | + | 7.30167e6i | 0.160296 | + | 0.909081i | ||||
\(579\) | −24981.7 | + | 1.17180e6i | −0.00309688 | + | 0.145264i | ||||
\(580\) | −323109. | + | 117602.i | −0.0398822 | + | 0.0145159i | ||||
\(581\) | −5.85120e6 | + | 2.12966e6i | −0.719125 | + | 0.261740i | ||||
\(582\) | −1.25299e7 | + | 6.88229e6i | −1.53334 | + | 0.842220i | ||||
\(583\) | 15012.1 | + | 85137.9i | 0.00182924 | + | 0.0103741i | ||||
\(584\) | −4.33929e6 | + | 7.51587e6i | −0.526486 | + | 0.911900i | ||||
\(585\) | −1.70111e7 | − | 725649.i | −2.05514 | − | 0.0876672i | ||||
\(586\) | −6.14935e6 | − | 1.06510e7i | −0.739750 | − | 1.28129i | ||||
\(587\) | 8.61774e6 | − | 7.23114e6i | 1.03228 | − | 0.866187i | 0.0411608 | − | 0.999153i | \(-0.486894\pi\) |
0.991121 | + | 0.132966i | \(0.0424500\pi\) | |||||||
\(588\) | 102663. | + | 20367.4i | 0.0122453 | + | 0.00242937i | ||||
\(589\) | −946559. | + | 5.36821e6i | −0.112424 | + | 0.637589i | ||||
\(590\) | 1.38059e7 | + | 1.15846e7i | 1.63281 | + | 1.37009i | ||||
\(591\) | −854203. | + | 2.19984e6i | −0.100599 | + | 0.259073i | ||||
\(592\) | 1.07403e7 | + | 3.90915e6i | 1.25954 | + | 0.458436i | ||||
\(593\) | 9.00454e6 | 1.05154 | 0.525769 | − | 0.850628i | \(-0.323778\pi\) | ||||
0.525769 | + | 0.850628i | \(0.323778\pi\) | |||||||
\(594\) | 367684. | + | 1.25445e6i | 0.0427572 | + | 0.145877i | ||||
\(595\) | −4.94284e6 | −0.572380 | ||||||||
\(596\) | −26700.7 | − | 9718.27i | −0.00307899 | − | 0.00112066i | ||||
\(597\) | 3.72588e6 | − | 575378.i | 0.427851 | − | 0.0660720i | ||||
\(598\) | −8.59236e6 | − | 7.20985e6i | −0.982561 | − | 0.824467i | ||||
\(599\) | 2.83453e6 | − | 1.60754e7i | 0.322786 | − | 1.83061i | −0.202011 | − | 0.979383i | \(-0.564748\pi\) |
0.524797 | − | 0.851227i | \(-0.324141\pi\) | |||||||
\(600\) | −7.03301e6 | + | 8.02772e6i | −0.797560 | + | 0.910362i | ||||
\(601\) | −4.97312e6 | + | 4.17294e6i | −0.561620 | + | 0.471255i | −0.878853 | − | 0.477092i | \(-0.841691\pi\) |
0.317233 | + | 0.948348i | \(0.397246\pi\) | |||||||
\(602\) | 3.71449e6 | + | 6.43369e6i | 0.417742 | + | 0.723550i | ||||
\(603\) | 529155. | + | 3.98845e6i | 0.0592638 | + | 0.446695i | ||||
\(604\) | 59742.4 | − | 103477.i | 0.00666332 | − | 0.0115412i | ||||
\(605\) | 2.27680e6 | + | 1.29124e7i | 0.252892 | + | 1.43422i | ||||
\(606\) | 3.30860e6 | + | 2.00544e6i | 0.365985 | + | 0.221834i | ||||
\(607\) | 1.25383e7 | − | 4.56357e6i | 1.38123 | − | 0.502728i | 0.458682 | − | 0.888601i | \(-0.348322\pi\) |
0.922552 | + | 0.385873i | \(0.126100\pi\) | |||||||
\(608\) | −370786. | + | 134955.i | −0.0406784 | + | 0.0148057i | ||||
\(609\) | 1.75794e7 | + | 1.06554e7i | 1.92071 | + | 1.16420i | ||||
\(610\) | 573125. | + | 3.25036e6i | 0.0623627 | + | 0.353677i | ||||
\(611\) | −2.91026e6 | + | 5.04071e6i | −0.315376 | + | 0.546247i | ||||
\(612\) | −5935.23 | − | 44736.3i | −0.000640559 | − | 0.00482815i | ||||
\(613\) | 9.01424e6 | + | 1.56131e7i | 0.968897 | + | 1.67818i | 0.698758 | + | 0.715358i | \(0.253736\pi\) |
0.270139 | + | 0.962821i | \(0.412930\pi\) | |||||||
\(614\) | 4.46018e6 | − | 3.74253e6i | 0.477454 | − | 0.400631i | ||||
\(615\) | 7.85606e6 | − | 8.96718e6i | 0.837562 | − | 0.956022i | ||||
\(616\) | −322920. | + | 1.83137e6i | −0.0342881 | + | 0.194458i | ||||
\(617\) | 1.96709e6 | + | 1.65058e6i | 0.208023 | + | 0.174552i | 0.740846 | − | 0.671675i | \(-0.234425\pi\) |
−0.532824 | + | 0.846226i | \(0.678869\pi\) | |||||||
\(618\) | 1.22931e7 | − | 1.89839e6i | 1.29476 | − | 0.199947i | ||||
\(619\) | −8.86766e6 | − | 3.22756e6i | −0.930213 | − | 0.338570i | −0.167919 | − | 0.985801i | \(-0.553705\pi\) |
−0.762294 | + | 0.647231i | \(0.775927\pi\) | |||||||
\(620\) | 119715. | 0.0125075 | ||||||||
\(621\) | 8.60541e6 | + | 2.09203e6i | 0.895453 | + | 0.217691i | ||||
\(622\) | −1.19719e7 | −1.24076 | ||||||||
\(623\) | 7.39099e6 | + | 2.69010e6i | 0.762926 | + | 0.277682i | ||||
\(624\) | 4.93989e6 | − | 1.27218e7i | 0.507874 | − | 1.30793i | ||||
\(625\) | −5.46492e6 | − | 4.58561e6i | −0.559608 | − | 0.469567i | ||||
\(626\) | 378517. | − | 2.14668e6i | 0.0386056 | − | 0.218943i | ||||
\(627\) | −1.88102e6 | − | 373179.i | −0.191084 | − | 0.0379096i | ||||
\(628\) | 171856. | − | 144204.i | 0.0173887 | − | 0.0145908i | ||||
\(629\) | −1.90211e6 | − | 3.29455e6i | −0.191694 | − | 0.332024i | ||||
\(630\) | −1.97579e7 | − | 842821.i | −1.98330 | − | 0.0846027i | ||||
\(631\) | −3.82533e6 | + | 6.62566e6i | −0.382468 | + | 0.662454i | −0.991414 | − | 0.130757i | \(-0.958259\pi\) |
0.608946 | + | 0.793211i | \(0.291592\pi\) | |||||||
\(632\) | 702959. | + | 3.98668e6i | 0.0700063 | + | 0.397026i | ||||
\(633\) | 1.46824e6 | − | 806460.i | 0.145642 | − | 0.0799969i | ||||
\(634\) | 7.10354e6 | − | 2.58548e6i | 0.701861 | − | 0.255457i | ||||
\(635\) | −1.28485e7 | + | 4.67645e6i | −1.26449 | + | 0.460238i | ||||
\(636\) | 254.506 | − | 11938.0i | 2.49491e−5 | − | 0.00117027i | ||||
\(637\) | −1.82935e6 | − | 1.03747e7i | −0.178627 | − | 1.01304i | ||||
\(638\) | 1.32858e6 | − | 2.30116e6i | 0.129222 | − | 0.223818i | ||||
\(639\) | 780140. | + | 713430.i | 0.0755823 | + | 0.0691193i | ||||
\(640\) | −7.90924e6 | − | 1.36992e7i | −0.763282 | − | 1.32204i | ||||
\(641\) | −1.32103e7 | + | 1.10848e7i | −1.26990 | + | 1.06557i | −0.275343 | + | 0.961346i | \(0.588792\pi\) |
−0.994554 | + | 0.104224i | \(0.966764\pi\) | |||||||
\(642\) | −1.60314e6 | − | 4.71494e6i | −0.153509 | − | 0.451480i | ||||
\(643\) | 887197. | − | 5.03154e6i | 0.0846238 | − | 0.479925i | −0.912813 | − | 0.408377i | \(-0.866095\pi\) |
0.997437 | − | 0.0715483i | \(-0.0227940\pi\) | |||||||
\(644\) | −164425. | − | 137969.i | −0.0156226 | − | 0.0131089i | ||||
\(645\) | −6.18509e6 | − | 7.69856e6i | −0.585392 | − | 0.728635i | ||||
\(646\) | 3.77584e6 | + | 1.37429e6i | 0.355986 | + | 0.129568i | ||||
\(647\) | −7.51130e6 | −0.705431 | −0.352715 | − | 0.935731i | \(-0.614742\pi\) | ||||
−0.352715 | + | 0.935731i | \(0.614742\pi\) | |||||||
\(648\) | 944790. | + | 1.05554e7i | 0.0883889 | + | 0.987502i | ||||
\(649\) | −2.29463e6 | −0.213846 | ||||||||
\(650\) | −1.71985e7 | − | 6.25975e6i | −1.59664 | − | 0.581130i | ||||
\(651\) | −4.48259e6 | − | 5.57946e6i | −0.414549 | − | 0.515988i | ||||
\(652\) | 98224.3 | + | 82420.0i | 0.00904899 | + | 0.00759300i | ||||
\(653\) | 2.18834e6 | − | 1.24107e7i | 0.200832 | − | 1.13897i | −0.703034 | − | 0.711156i | \(-0.748172\pi\) |
0.903866 | − | 0.427816i | \(-0.140717\pi\) | |||||||
\(654\) | −4.33749e6 | − | 1.27568e7i | −0.396547 | − | 1.16627i | ||||
\(655\) | −4.82297e6 | + | 4.04695e6i | −0.439249 | + | 0.368574i | ||||
\(656\) | 4.77778e6 | + | 8.27537e6i | 0.433478 | + | 0.750806i | ||||
\(657\) | 1.12032e7 | − | 3.54469e6i | 1.01258 | − | 0.320380i | ||||
\(658\) | −3.38018e6 | + | 5.85464e6i | −0.304351 | + | 0.527152i | ||||
\(659\) | 92980.5 | + | 527319.i | 0.00834024 | + | 0.0472998i | 0.988694 | − | 0.149948i | \(-0.0479107\pi\) |
−0.980354 | + | 0.197248i | \(0.936800\pi\) | |||||||
\(660\) | −897.672 | + | 42106.6i | −8.02154e−5 | + | 0.00376262i | ||||
\(661\) | −3.21197e6 | + | 1.16906e6i | −0.285935 | + | 0.104072i | −0.481006 | − | 0.876717i | \(-0.659729\pi\) |
0.195071 | + | 0.980789i | \(0.437506\pi\) | |||||||
\(662\) | 1.17206e7 | − | 4.26596e6i | 1.03946 | − | 0.378331i | ||||
\(663\) | −3.98129e6 | + | 2.18680e6i | −0.351754 | + | 0.193208i | ||||
\(664\) | 1.13306e6 | + | 6.42591e6i | 0.0997318 | + | 0.565607i | ||||
\(665\) | 1.45055e7 | − | 2.51242e7i | 1.27197 | − | 2.20312i | ||||
\(666\) | −7.04150e6 | − | 1.34936e7i | −0.615148 | − | 1.17880i | ||||
\(667\) | −9.00072e6 | − | 1.55897e7i | −0.783362 | − | 1.35682i | ||||
\(668\) | −285356. | + | 239442.i | −0.0247426 | + | 0.0207615i | ||||
\(669\) | −7.46657e6 | − | 1.48131e6i | −0.644994 | − | 0.127962i | ||||
\(670\) | −1.36620e6 | + | 7.74812e6i | −0.117579 | + | 0.666821i | ||||
\(671\) | −321910. | − | 270114.i | −0.0276012 | − | 0.0231601i | ||||
\(672\) | 187530. | − | 482948.i | 0.0160194 | − | 0.0412551i | ||||
\(673\) | 1.94973e7 | + | 7.09644e6i | 1.65935 | + | 0.603952i | 0.990260 | − | 0.139233i | \(-0.0444637\pi\) |
0.669086 | + | 0.743185i | \(0.266686\pi\) | |||||||
\(674\) | 2.13675e6 | 0.181177 | ||||||||
\(675\) | 1.43624e7 | − | 1.59478e6i | 1.21330 | − | 0.134723i | ||||
\(676\) | 180195. | 0.0151662 | ||||||||
\(677\) | −4.70694e6 | − | 1.71318e6i | −0.394700 | − | 0.143659i | 0.137043 | − | 0.990565i | \(-0.456240\pi\) |
−0.531742 | + | 0.846906i | \(0.678462\pi\) | |||||||
\(678\) | −4.89485e6 | + | 755899.i | −0.408945 | + | 0.0631524i | ||||
\(679\) | 2.10932e7 | + | 1.76993e7i | 1.75577 | + | 1.47326i | ||||
\(680\) | −899438. | + | 5.10096e6i | −0.0745931 | + | 0.423039i | ||||
\(681\) | −1.91797e6 | + | 2.18924e6i | −0.158480 | + | 0.180894i | ||||
\(682\) | −708691. | + | 594662.i | −0.0583440 | + | 0.0489564i | ||||
\(683\) | −7.69704e6 | − | 1.33317e7i | −0.631353 | − | 1.09353i | −0.987275 | − | 0.159019i | \(-0.949167\pi\) |
0.355923 | − | 0.934515i | \(-0.384167\pi\) | |||||||
\(684\) | 244810. | + | 101116.i | 0.0200073 | + | 0.00826384i | ||||
\(685\) | −6.74526e6 | + | 1.16831e7i | −0.549253 | + | 0.951334i | ||||
\(686\) | 726380. | + | 4.11950e6i | 0.0589323 | + | 0.334222i | ||||
\(687\) | −8.85469e6 | − | 5.36709e6i | −0.715783 | − | 0.433858i | ||||
\(688\) | 7.43800e6 | − | 2.70721e6i | 0.599081 | − | 0.218048i | ||||
\(689\) | −1.12939e6 | + | 411065.i | −0.0906351 | + | 0.0329885i | ||||
\(690\) | 1.48097e7 | + | 8.97657e6i | 1.18419 | + | 0.717774i | ||||
\(691\) | −65140.1 | − | 369428.i | −0.00518983 | − | 0.0294330i | 0.982103 | − | 0.188345i | \(-0.0603124\pi\) |
−0.987293 | + | 0.158912i | \(0.949201\pi\) | |||||||
\(692\) | 138573. | − | 240016.i | 0.0110005 | − | 0.0190535i | ||||
\(693\) | 1.99604e6 | − | 1.53479e6i | 0.157883 | − | 0.121399i | ||||
\(694\) | 1.33733e6 | + | 2.31632e6i | 0.105400 | + | 0.182558i | ||||
\(695\) | −2.40334e7 | + | 2.01664e7i | −1.88735 | + | 1.58368i | ||||
\(696\) | 1.41952e7 | − | 1.62028e7i | 1.11075 | − | 1.26785i | ||||
\(697\) | 552283. | − | 3.13215e6i | 0.0430606 | − | 0.244209i | ||||
\(698\) | −3.04679e6 | − | 2.55656e6i | −0.236703 | − | 0.198617i | ||||
\(699\) | 2.51114e6 | − | 387789.i | 0.194392 | − | 0.0300195i | ||||
\(700\) | −329114. | − | 119788.i | −0.0253864 | − | 0.00923991i | ||||
\(701\) | 1.41346e7 | 1.08639 | 0.543197 | − | 0.839605i | \(-0.317214\pi\) | ||||
0.543197 | + | 0.839605i | \(0.317214\pi\) | |||||||
\(702\) | −1.62872e7 | + | 8.06239e6i | −1.24739 | + | 0.617477i | ||||
\(703\) | 2.23281e7 | 1.70397 | ||||||||
\(704\) | 1.83068e6 | + | 666311.i | 0.139213 | + | 0.0506694i | ||||
\(705\) | 3.25288e6 | − | 8.37719e6i | 0.246488 | − | 0.634783i | ||||
\(706\) | −3.47173e6 | − | 2.91313e6i | −0.262141 | − | 0.219962i | ||||
\(707\) | 1.29404e6 | − | 7.33886e6i | 0.0973641 | − | 0.552179i | ||||
\(708\) | 310876. | + | 61675.2i | 0.0233079 | + | 0.00462410i | ||||
\(709\) | −1.33424e7 | + | 1.11956e7i | −0.996826 | + | 0.836436i | −0.986542 | − | 0.163511i | \(-0.947718\pi\) |
−0.0102846 | + | 0.999947i | \(0.503274\pi\) | |||||||
\(710\) | 1.03363e6 | + | 1.79030e6i | 0.0769518 | + | 0.133284i | ||||
\(711\) | 2.94038e6 | − | 4.62569e6i | 0.218137 | − | 0.343165i | ||||
\(712\) | 4.12108e6 | − | 7.13792e6i | 0.304657 | − | 0.527681i | ||||
\(713\) | 1.08834e6 | + | 6.17226e6i | 0.0801751 | + | 0.454696i | ||||
\(714\) | −4.62415e6 | + | 2.53991e6i | −0.339458 | + | 0.186454i | ||||
\(715\) | 3.98350e6 | − | 1.44987e6i | 0.291407 | − | 0.106063i | ||||
\(716\) | −170429. | + | 62031.0i | −0.0124240 | + | 0.00452196i | ||||
\(717\) | −461540. | + | 2.16492e7i | −0.0335283 | + | 1.57269i | ||||
\(718\) | 3.20787e6 | + | 1.81927e7i | 0.232223 | + | 1.31700i | ||||
\(719\) | −9.46989e6 | + | 1.64023e7i | −0.683160 | + | 1.18327i | 0.290851 | + | 0.956768i | \(0.406062\pi\) |
−0.974011 | + | 0.226500i | \(0.927272\pi\) | |||||||
\(720\) | −4.53990e6 | + | 2.05757e7i | −0.326374 | + | 1.47919i | ||||
\(721\) | −1.19794e7 | − | 2.07489e7i | −0.858217 | − | 1.48648i | ||||
\(722\) | −7.24679e6 | + | 6.08078e6i | −0.517372 | + | 0.434127i | ||||
\(723\) | 7.46916e6 | + | 2.19673e7i | 0.531405 | + | 1.56290i | ||||
\(724\) | −65052.4 | + | 368930.i | −0.00461229 | + | 0.0261576i | ||||
\(725\) | −2.25013e7 | − | 1.88808e7i | −1.58987 | − | 1.33406i | ||||
\(726\) | 8.76510e6 | + | 1.09099e7i | 0.617185 | + | 0.768208i | ||||
\(727\) | 6.37724e6 | + | 2.32113e6i | 0.447504 | + | 0.162878i | 0.555935 | − | 0.831226i | \(-0.312360\pi\) |
−0.108431 | + | 0.994104i | \(0.534583\pi\) | |||||||
\(728\) | −2.58531e7 | −1.80794 | ||||||||
\(729\) | 8.70082e6 | − | 1.14099e7i | 0.606375 | − | 0.795179i | ||||
\(730\) | 2.29779e7 | 1.59589 | ||||||||
\(731\) | −2.47566e6 | − | 901068.i | −0.171356 | − | 0.0623683i | ||||
\(732\) | 36352.1 | + | 45247.3i | 0.00250756 | + | 0.00312115i | ||||
\(733\) | 1.06213e6 | + | 891233.i | 0.0730160 | + | 0.0612677i | 0.678565 | − | 0.734540i | \(-0.262602\pi\) |
−0.605549 | + | 0.795808i | \(0.707047\pi\) | |||||||
\(734\) | 846950. | − | 4.80329e6i | 0.0580253 | − | 0.329078i | ||||
\(735\) | 5.23598e6 | + | 1.53994e7i | 0.357503 | + | 1.05144i | ||||
\(736\) | −347541. | + | 291622.i | −0.0236490 | + | 0.0198438i | ||||
\(737\) | −500859. | − | 867513.i | −0.0339662 | − | 0.0588312i | ||||
\(738\) | 2.74170e6 | − | 1.24259e7i | 0.185302 | − | 0.839822i | ||||
\(739\) | 3.67789e6 | − | 6.37029e6i | 0.247735 | − | 0.429090i | −0.715162 | − | 0.698959i | \(-0.753647\pi\) |
0.962897 | + | 0.269869i | \(0.0869804\pi\) | |||||||
\(740\) | −85151.7 | − | 482919.i | −0.00571629 | − | 0.0324187i | ||||
\(741\) | 568241. | − | 2.66542e7i | 0.0380178 | − | 1.78328i | ||||
\(742\) | −1.31176e6 | + | 477440.i | −0.0874668 | + | 0.0318353i | ||||
\(743\) | 6.39066e6 | − | 2.32601e6i | 0.424691 | − | 0.154575i | −0.120828 | − | 0.992674i | \(-0.538555\pi\) |
0.545519 | + | 0.838098i | \(0.316333\pi\) | |||||||
\(744\) | −6.57364e6 | + | 3.61071e6i | −0.435385 | + | 0.239144i | ||||
\(745\) | −766780. | − | 4.34862e6i | −0.0506151 | − | 0.287052i | ||||
\(746\) | 2.13679e6 | − | 3.70102e6i | 0.140577 | − | 0.243486i | ||||
\(747\) | 4.73944e6 | − | 7.45590e6i | 0.310760 | − | 0.488876i | ||||
\(748\) | 5617.86 | + | 9730.41i | 0.000367127 | + | 0.000635883i | ||||
\(749\) | −7.34804e6 | + | 6.16574e6i | −0.478594 | + | 0.401588i | ||||
\(750\) | 5.01225e6 | + | 994390.i | 0.325372 | + | 0.0645511i | ||||
\(751\) | −2.44936e6 | + | 1.38910e7i | −0.158472 | + | 0.898740i | 0.797070 | + | 0.603886i | \(0.206382\pi\) |
−0.955542 | + | 0.294854i | \(0.904729\pi\) | |||||||
\(752\) | 5.51779e6 | + | 4.62997e6i | 0.355812 | + | 0.298562i | ||||
\(753\) | 1.04406e7 | − | 2.68878e7i | 0.671024 | − | 1.72810i | ||||
\(754\) | 3.47128e7 | + | 1.26344e7i | 2.22362 | + | 0.809333i | ||||
\(755\) | 1.85685e7 | 1.18552 | ||||||||
\(756\) | −311675. | + | 154283.i | −0.0198334 | + | 0.00981782i | ||||
\(757\) | −1.29168e7 | −0.819247 | −0.409623 | − | 0.912255i | \(-0.634340\pi\) | ||||
−0.409623 | + | 0.912255i | \(0.634340\pi\) | |||||||
\(758\) | −2.00795e6 | − | 730833.i | −0.126934 | − | 0.0462003i | ||||
\(759\) | −2.17909e6 | + | 336511.i | −0.137300 | + | 0.0212029i | ||||
\(760\) | −2.32884e7 | − | 1.95413e7i | −1.46253 | − | 1.22721i | ||||
\(761\) | −4.44499e6 | + | 2.52088e7i | −0.278233 | + | 1.57794i | 0.450268 | + | 0.892894i | \(0.351329\pi\) |
−0.728501 | + | 0.685045i | \(0.759783\pi\) | |||||||
\(762\) | −9.61702e6 | + | 1.09772e7i | −0.600003 | + | 0.684864i | ||||
\(763\) | −1.98810e7 | + | 1.66822e7i | −1.23631 | + | 1.03739i | ||||
\(764\) | 33549.4 | + | 58109.2i | 0.00207946 | + | 0.00360173i | ||||
\(765\) | 5.55961e6 | − | 4.27489e6i | 0.343471 | − | 0.264102i | ||||
\(766\) | −9426.41 | + | 16327.0i | −0.000580463 | + | 0.00100539i | ||||
\(767\) | −5.53949e6 | − | 3.14160e7i | −0.340002 | − | 1.92825i | ||||
\(768\) | −702293. | − | 425681.i | −0.0429651 | − | 0.0260424i | ||||
\(769\) | −2.14573e7 | + | 7.80983e6i | −1.30846 | + | 0.476240i | −0.899742 | − | 0.436422i | \(-0.856246\pi\) |
−0.408716 | + | 0.912662i | \(0.634023\pi\) | |||||||
\(770\) | 4.62672e6 | − | 1.68399e6i | 0.281220 | − | 0.102356i | ||||
\(771\) | 5.38848e6 | + | 3.26612e6i | 0.326460 | + | 0.197877i | ||||
\(772\) | 6998.93 | + | 39692.9i | 0.000422658 | + | 0.00239701i | ||||
\(773\) | −3.40235e6 | + | 5.89305e6i | −0.204800 | + | 0.354725i | −0.950069 | − | 0.312040i | \(-0.898988\pi\) |
0.745269 | + | 0.666764i | \(0.232321\pi\) | |||||||
\(774\) | −9.74226e6 | − | 4.02395e6i | −0.584530 | − | 0.241435i | ||||
\(775\) | 5.11340e6 | + | 8.85667e6i | 0.305813 | + | 0.529683i | ||||
\(776\) | 2.21037e7 | − | 1.85472e7i | 1.31768 | − | 1.10567i | ||||
\(777\) | −1.93186e7 | + | 2.20509e7i | −1.14795 | + | 1.31031i | ||||
\(778\) | 3.70540e6 | − | 2.10143e7i | 0.219475 | − | 1.24471i | ||||
\(779\) | 1.42998e7 | + | 1.19990e7i | 0.844282 | + | 0.708436i | ||||
\(780\) | −578653. | + | 89359.9i | −0.0340551 | + | 0.00525903i | ||||
\(781\) | −247332. | − | 90021.7i | −0.0145095 | − | 0.00528104i | ||||
\(782\) | 4.62002e6 | 0.270163 | ||||||||
\(783\) | −2.89884e7 | + | 3.21883e6i | −1.68974 | + | 0.187626i | ||||
\(784\) | −1.30369e7 | −0.757504 | ||||||||
\(785\) | 3.27612e7 | + | 1.19241e7i | 1.89752 | + | 0.690640i | ||||
\(786\) | −2.43246e6 | + | 6.26434e6i | −0.140439 | + | 0.361675i | ||||
\(787\) | −441041. | − | 370078.i | −0.0253830 | − | 0.0212989i | 0.630008 | − | 0.776589i | \(-0.283052\pi\) |
−0.655391 | + | 0.755290i | \(0.727496\pi\) | |||||||
\(788\) | −14091.8 | + | 79918.5i | −0.000808445 | + | 0.00458492i | ||||
\(789\) | −4.57346e6 | − | 907337.i | −0.261549 | − | 0.0518891i | ||||
\(790\) | 8.21061e6 | − | 6.88952e6i | 0.468067 | − | 0.392755i | ||||
\(791\) | 4.76994e6 | + | 8.26178e6i | 0.271064 | + | 0.469496i | ||||
\(792\) | −1.22068e6 | − | 2.33917e6i | −0.0691492 | − | 0.132510i | ||||
\(793\) | 2.92104e6 | − | 5.05939e6i | 0.164951 | − | 0.285703i | ||||
\(794\) | −1.37089e6 | − | 7.77469e6i | −0.0771703 | − | 0.437655i | ||||
\(795\) | 1.62643e6 | − | 893352.i | 0.0912680 | − | 0.0501308i | ||||
\(796\) | 121826. | − | 44341.2i | 0.00681489 | − | 0.00248042i | ||||
\(797\) | 1.96495e7 | − | 7.15185e6i | 1.09574 | − | 0.398816i | 0.269994 | − | 0.962862i | \(-0.412978\pi\) |
0.825743 | + | 0.564046i | \(0.190756\pi\) | |||||||
\(798\) | 659996. | − | 3.09581e7i | 0.0366889 | − | 1.72094i | ||||
\(799\) | −416309. | − | 2.36101e6i | −0.0230701 | − | 0.130837i | ||||
\(800\) | −370143. | + | 641106.i | −0.0204477 | + | 0.0354164i | ||||
\(801\) | −1.06398e7 | + | 3.36644e6i | −0.585939 | + | 0.185391i | ||||
\(802\) | 5.50165e6 | + | 9.52914e6i | 0.302035 | + | 0.523140i | ||||
\(803\) | −2.24112e6 | + | 1.88052e6i | −0.122653 | + | 0.102918i | ||||
\(804\) | 44539.2 | + | 130993.i | 0.00242998 | + | 0.00714672i | ||||
\(805\) | 5.79225e6 | − | 3.28495e7i | 0.315034 | − | 1.78665i | ||||
\(806\) | −9.85244e6 | − | 8.26718e6i | −0.534203 | − | 0.448250i | ||||
\(807\) | −6.43380e6 | − | 8.00813e6i | −0.347763 | − | 0.432860i | ||||
\(808\) | −7.33816e6 | − | 2.67087e6i | −0.395420 | − | 0.143921i | ||||
\(809\) | 1.20869e7 | 0.649297 | 0.324649 | − | 0.945835i | \(-0.394754\pi\) | ||||
0.324649 | + | 0.945835i | \(0.394754\pi\) | |||||||
\(810\) | 2.29522e7 | − | 1.61399e7i | 1.22917 | − | 0.864348i | ||||
\(811\) | −2.09741e7 | −1.11977 | −0.559887 | − | 0.828569i | \(-0.689155\pi\) | ||||
−0.559887 | + | 0.828569i | \(0.689155\pi\) | |||||||
\(812\) | 664272. | + | 241775.i | 0.0353554 | + | 0.0128683i | ||||
\(813\) | −8.00762e6 | − | 9.96706e6i | −0.424891 | − | 0.528860i | ||||
\(814\) | 2.90289e6 | + | 2.43581e6i | 0.153557 | + | 0.128850i | ||||
\(815\) | −3.46017e6 | + | 1.96236e7i | −0.182475 | + | 1.03487i | ||||
\(816\) | 1.80954e6 | + | 5.32197e6i | 0.0951354 | + | 0.279800i | ||||
\(817\) | 1.18453e7 | − | 9.93936e6i | 0.620855 | − | 0.520959i | ||||
\(818\) | −1.66187e7 | − | 2.87844e7i | −0.868388 | − | 1.50409i | ||||
\(819\) | 2.58316e7 | + | 2.36228e7i | 1.34568 | + | 1.23061i | ||||
\(820\) | 204983. | − | 355042.i | 0.0106459 | − | 0.0184393i | ||||
\(821\) | 5.98741e6 | + | 3.39563e7i | 0.310014 | + | 1.75818i | 0.598911 | + | 0.800815i | \(0.295600\pi\) |
−0.288897 | + | 0.957360i | \(0.593289\pi\) | |||||||
\(822\) | −306908. | + | 1.43960e7i | −0.0158427 | + | 0.743124i | ||||
\(823\) | −1.72434e7 | + | 6.27608e6i | −0.887408 | + | 0.322990i | −0.745195 | − | 0.666846i | \(-0.767644\pi\) |
−0.142212 | + | 0.989836i | \(0.545422\pi\) | |||||||
\(824\) | −2.35926e7 | + | 8.58699e6i | −1.21048 | + | 0.440578i | ||||
\(825\) | −3.15343e6 | + | 1.73209e6i | −0.161305 | + | 0.0886003i | ||||
\(826\) | −6.43396e6 | − | 3.64888e7i | −0.328117 | − | 1.86084i | ||||
\(827\) | 5.56468e6 | − | 9.63830e6i | 0.282928 | − | 0.490046i | −0.689177 | − | 0.724593i | \(-0.742028\pi\) |
0.972105 | + | 0.234548i | \(0.0753609\pi\) | |||||||
\(828\) | 304267. | + | 12979.3i | 0.0154234 | + | 0.000657921i | ||||
\(829\) | 9.97762e6 | + | 1.72817e7i | 0.504244 | + | 0.873376i | 0.999988 | + | 0.00490734i | \(0.00156206\pi\) |
−0.495744 | + | 0.868469i | \(0.665105\pi\) | |||||||
\(830\) | 1.32342e7 | − | 1.11049e7i | 0.666813 | − | 0.559523i | ||||
\(831\) | −3.43085e7 | − | 6.80652e6i | −1.72345 | − | 0.341919i | ||||
\(832\) | −4.70308e6 | + | 2.66725e7i | −0.235545 | + | 1.33584i | ||||
\(833\) | 3.32402e6 | + | 2.78919e6i | 0.165978 | + | 0.139272i | ||||
\(834\) | −1.21212e7 | + | 3.12159e7i | −0.603435 | + | 1.55403i | ||||
\(835\) | −5.43979e7 | − | 1.97992e7i | −2.70001 | − | 0.982724i | ||||
\(836\) | −65945.6 | −0.00326340 | ||||||||
\(837\) | 9.86740e6 | + | 2.39883e6i | 0.486843 | + | 0.118355i | ||||
\(838\) | −2.86391e7 | −1.40880 | ||||||||
\(839\) | −2.42276e7 | − | 8.81812e6i | −1.18824 | − | 0.432485i | −0.329136 | − | 0.944282i | \(-0.606758\pi\) |
−0.859106 | + | 0.511797i | \(0.828980\pi\) | |||||||
\(840\) | 3.94482e7 | − | 6.09189e6i | 1.92899 | − | 0.297888i | ||||
\(841\) | 2.97033e7 | + | 2.49240e7i | 1.44815 | + | 1.21515i | ||||
\(842\) | 1.06450e6 | − | 6.03710e6i | 0.0517448 | − | 0.293460i | ||||
\(843\) | 2.34201e7 | − | 2.67326e7i | 1.13506 | − | 1.29560i | ||||
\(844\) | 44128.0 | − | 37027.8i | 0.00213235 | − | 0.00178925i | ||||
\(845\) | 1.40016e7 | + | 2.42514e7i | 0.674582 | + | 1.16841i | ||||
\(846\) | −1.26152e6 | − | 9.50858e6i | −0.0605993 | − | 0.456762i | ||||
\(847\) | 1.34778e7 | − | 2.33443e7i | 0.645523 | − | 1.11808i | ||||
\(848\) | 258273. | + | 1.46474e6i | 0.0123336 | + | 0.0699472i | ||||
\(849\) | 1.96551e7 | + | 1.19136e7i | 0.935851 | + | 0.567247i | ||||
\(850\) | 7.08396e6 | − | 2.57835e6i | 0.336301 | − | 0.122404i | ||||
\(851\) | 2.41242e7 | − | 8.78049e6i | 1.14190 | − | 0.415618i | ||||
\(852\) | 31088.9 | + | 18843.9i | 0.00146726 | + | 0.000889349i | ||||
\(853\) | −6.71342e6 | − | 3.80737e7i | −0.315916 | − | 1.79165i | −0.567038 | − | 0.823692i | \(-0.691911\pi\) |
0.251122 | − | 0.967956i | \(-0.419201\pi\) | |||||||
\(854\) | 3.39270e6 | − | 5.87633e6i | 0.159185 | − | 0.275716i | ||||
\(855\) | 5.41360e6 | + | 4.08045e7i | 0.253262 | + | 1.90894i | ||||
\(856\) | 5.02588e6 | + | 8.70507e6i | 0.234438 | + | 0.406058i | ||||
\(857\) | 8.34357e6 | − | 7.00109e6i | 0.388061 | − | 0.325622i | −0.427796 | − | 0.903875i | \(-0.640710\pi\) |
0.815857 | + | 0.578253i | \(0.196266\pi\) | |||||||
\(858\) | 2.98163e6 | − | 3.40334e6i | 0.138273 | − | 0.157829i | ||||
\(859\) | −2.72863e6 | + | 1.54748e7i | −0.126171 | + | 0.715554i | 0.854434 | + | 0.519560i | \(0.173904\pi\) |
−0.980605 | + | 0.195993i | \(0.937207\pi\) | |||||||
\(860\) | −260146. | − | 218288.i | −0.0119942 | − | 0.0100643i | ||||
\(861\) | −2.42225e7 | + | 3.74061e6i | −1.11355 | + | 0.171963i | ||||
\(862\) | −1.16306e7 | − | 4.23320e6i | −0.533132 | − | 0.194044i | ||||
\(863\) | −3.19816e7 | −1.46175 | −0.730875 | − | 0.682512i | \(-0.760888\pi\) | ||||
−0.730875 | + | 0.682512i | \(0.760888\pi\) | |||||||
\(864\) | 206755. | + | 705398.i | 0.00942263 | + | 0.0321477i | ||||
\(865\) | 4.30697e7 | 1.95718 | ||||||||
\(866\) | 1.26796e7 | + | 4.61500e6i | 0.574528 | + | 0.209111i | ||||
\(867\) | −7.33441e6 | + | 1.88884e7i | −0.331373 | + | 0.853390i | ||||
\(868\) | −188538. | − | 158202.i | −0.00849377 | − | 0.00712712i | ||||
\(869\) | −236970. | + | 1.34392e6i | −0.0106449 | + | 0.0603705i | ||||
\(870\) | −5.59441e7 | − | 1.10988e7i | −2.50586 | − | 0.497141i | ||||
\(871\) | 1.06681e7 | − | 8.95159e6i | 0.476476 | − | 0.399811i | ||||
\(872\) | 1.35981e7 | + | 2.35526e7i | 0.605603 | + | 1.04893i | ||||
\(873\) | −3.90326e7 | − | 1.66503e6i | −1.73337 | − | 0.0739413i | ||||
\(874\) | −1.35581e7 | + | 2.34833e7i | −0.600372 | + | 1.03987i | ||||
\(875\) | −1.70912e6 | − | 9.69289e6i | −0.0754661 | − | 0.427989i | ||||
\(876\) | 354171. | − | 194536.i | 0.0155938 | − | 0.00856524i | ||||
\(877\) | 2.53799e7 | − | 9.23754e6i | 1.11427 | − | 0.405562i | 0.281714 | − | 0.959499i | \(-0.409097\pi\) |
0.832559 | + | 0.553936i | \(0.186875\pi\) | |||||||
\(878\) | 4.12839e7 | − | 1.50261e7i | 1.80736 | − | 0.657825i | ||||
\(879\) | 716389. | − | 3.36032e7i | 0.0312735 | − | 1.46693i | ||||
\(880\) | −910959. | − | 5.16630e6i | −0.0396544 | − | 0.224892i | ||||
\(881\) | −8.03935e6 | + | 1.39246e7i | −0.348965 | + | 0.604424i | −0.986066 | − | 0.166356i | \(-0.946800\pi\) |
0.637101 | + | 0.770780i | \(0.280133\pi\) | |||||||
\(882\) | 1.28114e7 | + | 1.17159e7i | 0.554532 | + | 0.507114i | ||||
\(883\) | −9.99319e6 | − | 1.73087e7i | −0.431323 | − | 0.747073i | 0.565665 | − | 0.824635i | \(-0.308620\pi\) |
−0.996988 | + | 0.0775623i | \(0.975286\pi\) | |||||||
\(884\) | −119658. | + | 100405.i | −0.00515004 | + | 0.00432140i | ||||
\(885\) | 1.58552e7 | + | 4.66312e7i | 0.680478 | + | 2.00133i | ||||
\(886\) | −1.99403e6 | + | 1.13087e7i | −0.0853391 | + | 0.483982i | ||||
\(887\) | −1.77087e7 | − | 1.48594e7i | −0.755750 | − | 0.634150i | 0.181267 | − | 0.983434i | \(-0.441980\pi\) |
−0.937017 | + | 0.349284i | \(0.886425\pi\) | |||||||
\(888\) | 1.92410e7 | + | 2.39492e7i | 0.818831 | + | 1.01920i | ||||
\(889\) | 2.64148e7 | + | 9.61420e6i | 1.12097 | + | 0.407999i | ||||
\(890\) | −2.18224e7 | −0.923481 | ||||||||
\(891\) | −917713. | + | 3.45260e6i | −0.0387269 | + | 0.145698i | ||||
\(892\) | −261766. | −0.0110154 | ||||||||
\(893\) | 1.32226e7 | + | 4.81264e6i | 0.554867 | + | 0.201955i | ||||
\(894\) | −2.95191e6 | − | 3.67423e6i | −0.123526 | − | 0.153753i | ||||
\(895\) | −2.15911e7 | − | 1.81171e7i | −0.900983 | − | 0.756014i | ||||
\(896\) | −5.64717e6 | + | 3.20267e7i | −0.234996 | + | 1.33273i | ||||
\(897\) | −9.86776e6 | − | 2.90217e7i | −0.409485 | − | 1.20432i | ||||
\(898\) | −4.83812e6 | + | 4.05967e6i | −0.200210 | + | 0.167996i | ||||
\(899\) | −1.03207e7 | − | 1.78759e7i | −0.425902 | − | 0.737683i | ||||
\(900\) | 473782. | − | 149905.i | 0.0194972 | − | 0.00616892i | ||||
\(901\) | 247522. | − | 428720.i | 0.0101578 | − | 0.0175939i | ||||
\(902\) | 550139. | + | 3.11999e6i | 0.0225142 | + | 0.127684i | ||||
\(903\) | −432732. | + | 2.02979e7i | −0.0176604 | + | 0.828385i | ||||
\(904\) | 9.39405e6 | − | 3.41916e6i | 0.382324 | − | 0.139155i | ||||
\(905\) | −5.47068e7 | + | 1.99117e7i | −2.22034 | + | 0.808139i | ||||
\(906\) | 1.73713e7 | − | 9.54152e6i | 0.703090 | − | 0.386186i | ||||
\(907\) | 5.55703e6 | + | 3.15155e7i | 0.224297 | + | 1.27205i | 0.864024 | + | 0.503451i | \(0.167937\pi\) |
−0.639726 | + | 0.768603i | \(0.720952\pi\) | |||||||
\(908\) | −50044.4 | + | 86679.5i | −0.00201438 | + | 0.00348901i | ||||
\(909\) | 4.89161e6 | + | 9.37377e6i | 0.196355 | + | 0.376274i | ||||
\(910\) | 3.42251e7 | + | 5.92795e7i | 1.37006 | + | 2.37302i | ||||
\(911\) | 3.41771e7 | − | 2.86780e7i | 1.36439 | − | 1.14486i | 0.389794 | − | 0.920902i | \(-0.372546\pi\) |
0.974599 | − | 0.223959i | \(-0.0718981\pi\) | |||||||
\(912\) | −3.23617e7 | − | 6.42029e6i | −1.28838 | − | 0.255604i | ||||
\(913\) | −381959. | + | 2.16619e6i | −0.0151649 | + | 0.0860044i | ||||
\(914\) | 1.65582e7 | + | 1.38939e7i | 0.655611 | + | 0.550123i | ||||
\(915\) | −3.26493e6 | + | 8.40822e6i | −0.128920 | + | 0.332010i | ||||
\(916\) | −334592. | − | 121781.i | −0.0131758 | − | 0.00479559i | ||||
\(917\) | 1.29437e7 | 0.508316 | ||||||||
\(918\) | 3.00447e6 | − | 6.85610e6i | 0.117669 | − | 0.268516i | ||||
\(919\) | −1.15175e7 | −0.449851 | −0.224926 | − | 0.974376i | \(-0.572214\pi\) | ||||
−0.224926 | + | 0.974376i | \(0.572214\pi\) | |||||||
\(920\) | −3.28464e7 | − | 1.19551e7i | −1.27943 | − | 0.465676i | ||||
\(921\) | 1.57254e7 | − | 2.42843e6i | 0.610875 | − | 0.0943358i | ||||
\(922\) | 6.17517e6 | + | 5.18159e6i | 0.239233 | + | 0.200741i | ||||
\(923\) | 635408. | − | 3.60358e6i | 0.0245498 | − | 0.139229i | ||||
\(924\) | 57057.2 | − | 65127.0i | 0.00219852 | − | 0.00250946i | ||||
\(925\) | 3.20898e7 | − | 2.69266e7i | 1.23314 | − | 1.03473i | ||||
\(926\) | −1.10768e7 | − | 1.91856e7i | −0.424509 | − | 0.735271i | ||||
\(927\) | 3.14192e7 | + | 1.29774e7i | 1.20087 | + | 0.496008i | ||||
\(928\) | 747082. | − | 1.29398e6i | 0.0284773 | − | 0.0493240i | ||||
\(929\) | −7.19492e6 | − | 4.08044e7i | −0.273519 | − | 1.55120i | −0.743628 | − | 0.668593i | \(-0.766897\pi\) |
0.470110 | − | 0.882608i | \(-0.344214\pi\) | |||||||
\(930\) | 1.69815e7 | + | 1.02930e7i | 0.643826 | + | 0.390242i | ||||
\(931\) | −2.39321e7 | + | 8.71059e6i | −0.904914 | + | 0.329362i | ||||
\(932\) | 82107.8 | − | 29884.8i | 0.00309631 | − | 0.00112696i | ||||
\(933\) | −2.79793e7 | − | 1.69591e7i | −1.05228 | − | 0.637820i | ||||
\(934\) | 3.80510e6 | + | 2.15798e7i | 0.142725 | + | 0.809432i | ||||
\(935\) | −873039. | + | 1.51215e6i | −0.0326591 | + | 0.0565672i | ||||
\(936\) | 2.90790e7 | − | 2.23594e7i | 1.08490 | − | 0.834202i | ||||
\(937\) | 2.49438e6 | + | 4.32039e6i | 0.0928140 | + | 0.160759i | 0.908694 | − | 0.417462i | \(-0.137080\pi\) |
−0.815880 | + | 0.578221i | \(0.803747\pi\) | |||||||
\(938\) | 1.23907e7 | − | 1.03970e7i | 0.459820 | − | 0.385835i | ||||
\(939\) | 3.92556e6 | − | 4.48076e6i | 0.145290 | − | 0.165840i | ||||
\(940\) | 53662.8 | − | 304337.i | 0.00198086 | − | 0.0112340i | ||||
\(941\) | −2.90495e7 | − | 2.43755e7i | −1.06946 | − | 0.897385i | −0.0744580 | − | 0.997224i | \(-0.523723\pi\) |
−0.995004 | + | 0.0998393i | \(0.968167\pi\) | |||||||
\(942\) | 3.67762e7 | − | 5.67925e6i | 1.35033 | − | 0.208528i | ||||
\(943\) | 2.01687e7 | + | 7.34081e6i | 0.738583 | + | 0.268822i | ||||
\(944\) | −3.94775e7 | −1.44185 | ||||||||
\(945\) | −4.49819e7 | − | 2.99583e7i | −1.63854 | − | 1.09128i | ||||
\(946\) | 2.62432e6 | 0.0953429 | ||||||||
\(947\) | 3.11399e7 | + | 1.13340e7i | 1.12834 | + | 0.410684i | 0.837691 | − | 0.546145i | \(-0.183905\pi\) |
0.290653 | + | 0.956828i | \(0.406127\pi\) | |||||||
\(948\) | 68226.6 | − | 175705.i | 0.00246566 | − | 0.00634984i | ||||
\(949\) | −3.11568e7 | − | 2.61436e7i | −1.12302 | − | 0.942325i | ||||
\(950\) | −7.68326e6 | + | 4.35740e7i | −0.276208 | + | 1.56646i | ||||
\(951\) | 2.02641e7 | + | 4.02022e6i | 0.726566 | + | 0.144145i | ||||
\(952\) | 8.15739e6 | − | 6.84486e6i | 0.291715 | − | 0.244778i | ||||
\(953\) | −5.18454e6 | − | 8.97989e6i | −0.184918 | − | 0.320287i | 0.758631 | − | 0.651520i | \(-0.225868\pi\) |
−0.943549 | + | 0.331234i | \(0.892535\pi\) | |||||||
\(954\) | 1.06252e6 | − | 1.67151e6i | 0.0377976 | − | 0.0594617i | ||||
\(955\) | −5.21371e6 | + | 9.03042e6i | −0.184986 | + | 0.320405i | ||||
\(956\) | 129306. | + | 733333.i | 0.00457589 | + | 0.0259511i | ||||
\(957\) | 6.36477e6 | − | 3.49598e6i | 0.224648 | − | 0.123393i | ||||
\(958\) | −1.08489e7 | + | 3.94868e6i | −0.381920 | + | 0.139007i | ||||
\(959\) | 2.60622e7 | − | 9.48586e6i | 0.915091 | − | 0.333066i | ||||
\(960\) | 891280. | − | 4.18068e7i | 0.0312130 | − | 1.46409i | ||||
\(961\) | −3.72346e6 | − | 2.11168e7i | −0.130058 | − | 0.737597i | ||||
\(962\) | −2.63411e7 | + | 4.56241e7i | −0.917690 | + | 1.58949i | ||||
\(963\) | 2.93239e6 | − | 1.32902e7i | 0.101896 | − | 0.461811i | ||||
\(964\) | 398944. | + | 690990.i | 0.0138267 | + | 0.0239486i | ||||
\(965\) | −4.79820e6 | + | 4.02617e6i | −0.165867 | + | 0.139179i | ||||
\(966\) | −1.14611e7 | − | 3.37079e7i | −0.395170 | − | 1.16222i | ||||
\(967\) | −1.33382e6 | + | 7.56448e6i | −0.0458703 | + | 0.260143i | −0.999115 | − | 0.0420551i | \(-0.986609\pi\) |
0.953245 | + | 0.302199i | \(0.0977206\pi\) | |||||||
\(968\) | −2.16386e7 | − | 1.81569e7i | −0.742233 | − | 0.622807i | ||||
\(969\) | 6.87766e6 | + | 8.56060e6i | 0.235305 | + | 0.292884i | ||||
\(970\) | −7.17893e7 | − | 2.61292e7i | −2.44980 | − | 0.891654i | ||||
\(971\) | 3.63281e6 | 0.123650 | 0.0618250 | − | 0.998087i | \(-0.480308\pi\) | ||||
0.0618250 | + | 0.998087i | \(0.480308\pi\) | |||||||
\(972\) | 217131. | − | 443091.i | 0.00737150 | − | 0.0150428i | ||||
\(973\) | 6.44996e7 | 2.18411 | ||||||||
\(974\) | −2.37606e7 | − | 8.64815e6i | −0.802528 | − | 0.292096i | ||||
\(975\) | −3.13270e7 | − | 3.89926e7i | −1.05537 | − | 1.31362i | ||||
\(976\) | −5.53823e6 | − | 4.64713e6i | −0.186100 | − | 0.156156i | ||||
\(977\) | −6.47418e6 | + | 3.67169e7i | −0.216994 | + | 1.23064i | 0.660418 | + | 0.750898i | \(0.270379\pi\) |
−0.877412 | + | 0.479737i | \(0.840732\pi\) | |||||||
\(978\) | 6.84664e6 | + | 2.01364e7i | 0.228892 | + | 0.673186i | ||||
\(979\) | 2.12842e6 | − | 1.78596e6i | 0.0709743 | − | 0.0595545i | ||||
\(980\) | 279665. | + | 484393.i | 0.00930191 | + | 0.0161114i | ||||
\(981\) | 7.93396e6 | − | 3.59582e7i | 0.263219 | − | 1.19296i | ||||
\(982\) | −4.12446e6 | + | 7.14378e6i | −0.136486 | + | 0.236401i | ||||
\(983\) | −435244. | − | 2.46839e6i | −0.0143664 | − | 0.0814761i | 0.976782 | − | 0.214238i | \(-0.0687267\pi\) |
−0.991148 | + | 0.132761i | \(0.957616\pi\) | |||||||
\(984\) | −547431. | + | 2.56780e7i | −0.0180236 | + | 0.845423i | ||||
\(985\) | −1.18507e7 | + | 4.31331e6i | −0.389183 | + | 0.141651i | ||||
\(986\) | −1.42980e7 | + | 5.20404e6i | −0.468363 | + | 0.170470i | ||||
\(987\) | −1.61933e7 | + | 8.89450e6i | −0.529106 | + | 0.290622i | ||||
\(988\) | −159200. | − | 902869.i | −0.00518861 | − | 0.0294261i | ||||
\(989\) | 8.88948e6 | − | 1.53970e7i | 0.288992 | − | 0.500549i | ||||
\(990\) | −3.74762e6 | + | 5.89560e6i | −0.121525 | + | 0.191179i | ||||
\(991\) | −1.27803e7 | − | 2.21361e7i | −0.413386 | − | 0.716006i | 0.581871 | − | 0.813281i | \(-0.302321\pi\) |
−0.995258 | + | 0.0972748i | \(0.968987\pi\) | |||||||
\(992\) | −398509. | + | 334389.i | −0.0128576 | + | 0.0107888i | ||||
\(993\) | 3.34351e7 | + | 6.63326e6i | 1.07604 | + | 0.213478i | ||||
\(994\) | 738008. | − | 4.18545e6i | 0.0236916 | − | 0.134362i | ||||
\(995\) | 1.54338e7 | + | 1.29505e7i | 0.494214 | + | 0.414694i | ||||
\(996\) | 109971. | − | 283209.i | 0.00351260 | − | 0.00904605i | ||||
\(997\) | −8.58197e6 | − | 3.12358e6i | −0.273432 | − | 0.0995211i | 0.201665 | − | 0.979455i | \(-0.435365\pi\) |
−0.475097 | + | 0.879933i | \(0.657587\pi\) | |||||||
\(998\) | 2.49701e7 | 0.793586 | ||||||||
\(999\) | 2.65811e6 | − | 4.15104e7i | 0.0842672 | − | 1.31596i |
(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 | 27.6.e.a.4.11 | ✓ | 84 | |
3.2 | odd | 2 | 81.6.e.a.64.4 | 84 | |||
27.7 | even | 9 | inner | 27.6.e.a.7.11 | yes | 84 | |
27.13 | even | 9 | 729.6.a.c.1.12 | 42 | |||
27.14 | odd | 18 | 729.6.a.e.1.31 | 42 | |||
27.20 | odd | 18 | 81.6.e.a.19.4 | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.6.e.a.4.11 | ✓ | 84 | 1.1 | even | 1 | trivial | |
27.6.e.a.7.11 | yes | 84 | 27.7 | even | 9 | inner | |
81.6.e.a.19.4 | 84 | 27.20 | odd | 18 | |||
81.6.e.a.64.4 | 84 | 3.2 | odd | 2 | |||
729.6.a.c.1.12 | 42 | 27.13 | even | 9 | |||
729.6.a.e.1.31 | 42 | 27.14 | odd | 18 |