Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,3,Mod(119,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.119");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.b (of order \(2\), degree \(1\), 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: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(38\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 119.9 | ||
Character | \(\chi\) | \(=\) | 177.119 |
Dual form | 177.3.b.a.119.30 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.36527i | − | 1.18264i | −0.806438 | − | 0.591319i | \(-0.798608\pi\) | ||
0.806438 | − | 0.591319i | \(-0.201392\pi\) | |||||||
\(3\) | 2.69227 | + | 1.32352i | 0.897422 | + | 0.441174i | ||||
\(4\) | −1.59452 | −0.398630 | ||||||||
\(5\) | − | 8.24482i | − | 1.64896i | −0.565888 | − | 0.824482i | \(-0.691467\pi\) | ||
0.565888 | − | 0.824482i | \(-0.308533\pi\) | |||||||
\(6\) | 3.13049 | − | 6.36794i | 0.521749 | − | 1.06132i | ||||
\(7\) | −0.755379 | −0.107911 | −0.0539556 | − | 0.998543i | \(-0.517183\pi\) | ||||
−0.0539556 | + | 0.998543i | \(0.517183\pi\) | |||||||
\(8\) | − | 5.68962i | − | 0.711202i | ||||||
\(9\) | 5.49658 | + | 7.12654i | 0.610731 | + | 0.791838i | ||||
\(10\) | −19.5013 | −1.95013 | ||||||||
\(11\) | 12.7075i | 1.15522i | 0.816311 | + | 0.577612i | \(0.196015\pi\) | ||||
−0.816311 | + | 0.577612i | \(0.803985\pi\) | |||||||
\(12\) | −4.29288 | − | 2.11038i | −0.357740 | − | 0.175865i | ||||
\(13\) | −1.31367 | −0.101052 | −0.0505258 | − | 0.998723i | \(-0.516090\pi\) | ||||
−0.0505258 | + | 0.998723i | \(0.516090\pi\) | |||||||
\(14\) | 1.78668i | 0.127620i | ||||||||
\(15\) | 10.9122 | − | 22.1972i | 0.727480 | − | 1.47982i | ||||
\(16\) | −19.8356 | −1.23972 | ||||||||
\(17\) | − | 16.7462i | − | 0.985068i | −0.870293 | − | 0.492534i | \(-0.836071\pi\) | ||
0.870293 | − | 0.492534i | \(-0.163929\pi\) | |||||||
\(18\) | 16.8562 | − | 13.0009i | 0.936457 | − | 0.722274i | ||||
\(19\) | 11.8048 | 0.621305 | 0.310652 | − | 0.950524i | \(-0.399453\pi\) | ||||
0.310652 | + | 0.950524i | \(0.399453\pi\) | |||||||
\(20\) | 13.1465i | 0.657327i | ||||||||
\(21\) | −2.03368 | − | 0.999760i | −0.0968419 | − | 0.0476076i | ||||
\(22\) | 30.0566 | 1.36621 | ||||||||
\(23\) | − | 13.6222i | − | 0.592272i | −0.955146 | − | 0.296136i | \(-0.904302\pi\) | ||
0.955146 | − | 0.296136i | \(-0.0956981\pi\) | |||||||
\(24\) | 7.53033 | − | 15.3180i | 0.313764 | − | 0.638248i | ||||
\(25\) | −42.9771 | −1.71908 | ||||||||
\(26\) | 3.10719i | 0.119507i | ||||||||
\(27\) | 5.36613 | + | 26.4614i | 0.198745 | + | 0.980051i | ||||
\(28\) | 1.20447 | 0.0430167 | ||||||||
\(29\) | 36.0473i | 1.24301i | 0.783411 | + | 0.621504i | \(0.213478\pi\) | ||||
−0.783411 | + | 0.621504i | \(0.786522\pi\) | |||||||
\(30\) | −52.5026 | − | 25.8103i | −1.75009 | − | 0.860345i | ||||
\(31\) | 8.07287 | 0.260415 | 0.130208 | − | 0.991487i | \(-0.458436\pi\) | ||||
0.130208 | + | 0.991487i | \(0.458436\pi\) | |||||||
\(32\) | 24.1581i | 0.754942i | ||||||||
\(33\) | −16.8186 | + | 34.2119i | −0.509655 | + | 1.03672i | ||||
\(34\) | −39.6093 | −1.16498 | ||||||||
\(35\) | 6.22797i | 0.177942i | ||||||||
\(36\) | −8.76442 | − | 11.3634i | −0.243456 | − | 0.315651i | ||||
\(37\) | 50.0853 | 1.35366 | 0.676829 | − | 0.736141i | \(-0.263354\pi\) | ||||
0.676829 | + | 0.736141i | \(0.263354\pi\) | |||||||
\(38\) | − | 27.9216i | − | 0.734778i | ||||||
\(39\) | −3.53675 | − | 1.73867i | −0.0906859 | − | 0.0445813i | ||||
\(40\) | −46.9099 | −1.17275 | ||||||||
\(41\) | 47.7769i | 1.16529i | 0.812726 | + | 0.582645i | \(0.197982\pi\) | ||||
−0.812726 | + | 0.582645i | \(0.802018\pi\) | |||||||
\(42\) | −2.36471 | + | 4.81021i | −0.0563026 | + | 0.114529i | ||||
\(43\) | 24.6656 | 0.573619 | 0.286809 | − | 0.957988i | \(-0.407405\pi\) | ||||
0.286809 | + | 0.957988i | \(0.407405\pi\) | |||||||
\(44\) | − | 20.2623i | − | 0.460508i | ||||||
\(45\) | 58.7571 | − | 45.3183i | 1.30571 | − | 1.00707i | ||||
\(46\) | −32.2203 | −0.700442 | ||||||||
\(47\) | − | 18.1017i | − | 0.385143i | −0.981283 | − | 0.192572i | \(-0.938317\pi\) | ||
0.981283 | − | 0.192572i | \(-0.0616827\pi\) | |||||||
\(48\) | −53.4027 | − | 26.2528i | −1.11256 | − | 0.546934i | ||||
\(49\) | −48.4294 | −0.988355 | ||||||||
\(50\) | 101.653i | 2.03305i | ||||||||
\(51\) | 22.1639 | − | 45.0851i | 0.434586 | − | 0.884022i | ||||
\(52\) | 2.09468 | 0.0402823 | ||||||||
\(53\) | 47.1050i | 0.888774i | 0.895835 | + | 0.444387i | \(0.146578\pi\) | ||||
−0.895835 | + | 0.444387i | \(0.853422\pi\) | |||||||
\(54\) | 62.5884 | − | 12.6924i | 1.15904 | − | 0.235044i | ||||
\(55\) | 104.771 | 1.90492 | ||||||||
\(56\) | 4.29782i | 0.0767467i | ||||||||
\(57\) | 31.7816 | + | 15.6239i | 0.557572 | + | 0.274103i | ||||
\(58\) | 85.2616 | 1.47003 | ||||||||
\(59\) | − | 7.68115i | − | 0.130189i | ||||||
\(60\) | −17.3997 | + | 35.3940i | −0.289996 | + | 0.589900i | ||||
\(61\) | 41.9771 | 0.688149 | 0.344074 | − | 0.938942i | \(-0.388193\pi\) | ||||
0.344074 | + | 0.938942i | \(0.388193\pi\) | |||||||
\(62\) | − | 19.0945i | − | 0.307977i | ||||||
\(63\) | −4.15200 | − | 5.38324i | −0.0659048 | − | 0.0854482i | ||||
\(64\) | −22.2017 | −0.346902 | ||||||||
\(65\) | 10.8310i | 0.166631i | ||||||||
\(66\) | 80.9205 | + | 39.7806i | 1.22607 | + | 0.602737i | ||||
\(67\) | 84.5251 | 1.26157 | 0.630784 | − | 0.775958i | \(-0.282733\pi\) | ||||
0.630784 | + | 0.775958i | \(0.282733\pi\) | |||||||
\(68\) | 26.7021i | 0.392678i | ||||||||
\(69\) | 18.0293 | − | 36.6747i | 0.261295 | − | 0.531517i | ||||
\(70\) | 14.7308 | 0.210441 | ||||||||
\(71\) | 117.846i | 1.65980i | 0.557909 | + | 0.829902i | \(0.311604\pi\) | ||||
−0.557909 | + | 0.829902i | \(0.688396\pi\) | |||||||
\(72\) | 40.5473 | − | 31.2734i | 0.563157 | − | 0.434353i | ||||
\(73\) | −106.420 | −1.45781 | −0.728905 | − | 0.684615i | \(-0.759970\pi\) | ||||
−0.728905 | + | 0.684615i | \(0.759970\pi\) | |||||||
\(74\) | − | 118.466i | − | 1.60089i | ||||||
\(75\) | −115.706 | − | 56.8811i | −1.54274 | − | 0.758414i | ||||
\(76\) | −18.8230 | −0.247671 | ||||||||
\(77\) | − | 9.59896i | − | 0.124662i | ||||||
\(78\) | −4.11244 | + | 8.36538i | −0.0527235 | + | 0.107249i | ||||
\(79\) | 100.619 | 1.27365 | 0.636827 | − | 0.771007i | \(-0.280247\pi\) | ||||
0.636827 | + | 0.771007i | \(0.280247\pi\) | |||||||
\(80\) | 163.541i | 2.04426i | ||||||||
\(81\) | −20.5752 | + | 78.3432i | −0.254014 | + | 0.967200i | ||||
\(82\) | 113.006 | 1.37812 | ||||||||
\(83\) | 60.9531i | 0.734375i | 0.930147 | + | 0.367187i | \(0.119679\pi\) | ||||
−0.930147 | + | 0.367187i | \(0.880321\pi\) | |||||||
\(84\) | 3.24275 | + | 1.59414i | 0.0386041 | + | 0.0189779i | ||||
\(85\) | −138.069 | −1.62434 | ||||||||
\(86\) | − | 58.3409i | − | 0.678383i | ||||||
\(87\) | −47.7093 | + | 97.0488i | −0.548383 | + | 1.11550i | ||||
\(88\) | 72.3006 | 0.821598 | ||||||||
\(89\) | − | 72.2494i | − | 0.811791i | −0.913920 | − | 0.405895i | \(-0.866960\pi\) | ||
0.913920 | − | 0.405895i | \(-0.133040\pi\) | |||||||
\(90\) | −107.190 | − | 138.977i | −1.19100 | − | 1.54418i | ||||
\(91\) | 0.992320 | 0.0109046 | ||||||||
\(92\) | 21.7210i | 0.236098i | ||||||||
\(93\) | 21.7343 | + | 10.6846i | 0.233702 | + | 0.114888i | ||||
\(94\) | −42.8155 | −0.455485 | ||||||||
\(95\) | − | 97.3284i | − | 1.02451i | ||||||
\(96\) | −31.9738 | + | 65.0401i | −0.333061 | + | 0.677501i | ||||
\(97\) | −171.901 | −1.77218 | −0.886089 | − | 0.463516i | \(-0.846588\pi\) | ||||
−0.886089 | + | 0.463516i | \(0.846588\pi\) | |||||||
\(98\) | 114.549i | 1.16887i | ||||||||
\(99\) | −90.5603 | + | 69.8476i | −0.914751 | + | 0.705532i | ||||
\(100\) | 68.5279 | 0.685279 | ||||||||
\(101\) | − | 15.1618i | − | 0.150117i | −0.997179 | − | 0.0750583i | \(-0.976086\pi\) | ||
0.997179 | − | 0.0750583i | \(-0.0239143\pi\) | |||||||
\(102\) | −106.639 | − | 52.4237i | −1.04548 | − | 0.513958i | ||||
\(103\) | −173.109 | −1.68067 | −0.840335 | − | 0.542067i | \(-0.817642\pi\) | ||||
−0.840335 | + | 0.542067i | \(0.817642\pi\) | |||||||
\(104\) | 7.47428i | 0.0718681i | ||||||||
\(105\) | −8.24285 | + | 16.7673i | −0.0785033 | + | 0.159689i | ||||
\(106\) | 111.416 | 1.05110 | ||||||||
\(107\) | − | 191.084i | − | 1.78583i | −0.450224 | − | 0.892916i | \(-0.648656\pi\) | ||
0.450224 | − | 0.892916i | \(-0.351344\pi\) | |||||||
\(108\) | −8.55641 | − | 42.1933i | −0.0792260 | − | 0.390678i | ||||
\(109\) | 12.3513 | 0.113314 | 0.0566572 | − | 0.998394i | \(-0.481956\pi\) | ||||
0.0566572 | + | 0.998394i | \(0.481956\pi\) | |||||||
\(110\) | − | 247.812i | − | 2.25283i | ||||||
\(111\) | 134.843 | + | 66.2890i | 1.21480 | + | 0.597198i | ||||
\(112\) | 14.9834 | 0.133780 | ||||||||
\(113\) | − | 140.835i | − | 1.24632i | −0.782093 | − | 0.623162i | \(-0.785848\pi\) | ||
0.782093 | − | 0.623162i | \(-0.214152\pi\) | |||||||
\(114\) | 36.9548 | − | 75.1722i | 0.324165 | − | 0.659406i | ||||
\(115\) | −112.313 | −0.976635 | ||||||||
\(116\) | − | 57.4781i | − | 0.495501i | ||||||
\(117\) | −7.22070 | − | 9.36193i | −0.0617154 | − | 0.0800165i | ||||
\(118\) | −18.1680 | −0.153966 | ||||||||
\(119\) | 12.6497i | 0.106300i | ||||||||
\(120\) | −126.294 | − | 62.0862i | −1.05245 | − | 0.517385i | ||||
\(121\) | −40.4798 | −0.334544 | ||||||||
\(122\) | − | 99.2873i | − | 0.813831i | ||||||
\(123\) | −63.2338 | + | 128.628i | −0.514096 | + | 1.04576i | ||||
\(124\) | −12.8724 | −0.103809 | ||||||||
\(125\) | 148.218i | 1.18574i | ||||||||
\(126\) | −12.7328 | + | 9.82063i | −0.101054 | + | 0.0779415i | ||||
\(127\) | 147.769 | 1.16354 | 0.581768 | − | 0.813355i | \(-0.302361\pi\) | ||||
0.581768 | + | 0.813355i | \(0.302361\pi\) | |||||||
\(128\) | 149.146i | 1.16520i | ||||||||
\(129\) | 66.4064 | + | 32.6455i | 0.514778 | + | 0.253066i | ||||
\(130\) | 25.6182 | 0.197063 | ||||||||
\(131\) | − | 47.5616i | − | 0.363066i | −0.983385 | − | 0.181533i | \(-0.941894\pi\) | ||
0.983385 | − | 0.181533i | \(-0.0581059\pi\) | |||||||
\(132\) | 26.8176 | − | 54.5516i | 0.203164 | − | 0.413270i | ||||
\(133\) | −8.91709 | −0.0670458 | ||||||||
\(134\) | − | 199.925i | − | 1.49198i | ||||||
\(135\) | 218.169 | − | 44.2427i | 1.61607 | − | 0.327724i | ||||
\(136\) | −95.2792 | −0.700582 | ||||||||
\(137\) | 261.817i | 1.91107i | 0.294874 | + | 0.955536i | \(0.404722\pi\) | ||||
−0.294874 | + | 0.955536i | \(0.595278\pi\) | |||||||
\(138\) | −86.7457 | − | 42.6443i | −0.628592 | − | 0.309017i | ||||
\(139\) | −138.939 | −0.999560 | −0.499780 | − | 0.866153i | \(-0.666586\pi\) | ||||
−0.499780 | + | 0.866153i | \(0.666586\pi\) | |||||||
\(140\) | − | 9.93063i | − | 0.0709331i | ||||||
\(141\) | 23.9580 | − | 48.7346i | 0.169915 | − | 0.345636i | ||||
\(142\) | 278.738 | 1.96295 | ||||||||
\(143\) | − | 16.6934i | − | 0.116737i | ||||||
\(144\) | −109.028 | − | 141.359i | −0.757138 | − | 0.981661i | ||||
\(145\) | 297.203 | 2.04968 | ||||||||
\(146\) | 251.713i | 1.72406i | ||||||||
\(147\) | −130.385 | − | 64.0974i | −0.886971 | − | 0.436036i | ||||
\(148\) | −79.8622 | −0.539609 | ||||||||
\(149\) | 57.3808i | 0.385106i | 0.981287 | + | 0.192553i | \(0.0616767\pi\) | ||||
−0.981287 | + | 0.192553i | \(0.938323\pi\) | |||||||
\(150\) | −134.539 | + | 273.676i | −0.896929 | + | 1.82450i | ||||
\(151\) | 45.3936 | 0.300620 | 0.150310 | − | 0.988639i | \(-0.451973\pi\) | ||||
0.150310 | + | 0.988639i | \(0.451973\pi\) | |||||||
\(152\) | − | 67.1647i | − | 0.441873i | ||||||
\(153\) | 119.342 | − | 92.0466i | 0.780014 | − | 0.601612i | ||||
\(154\) | −22.7042 | −0.147430 | ||||||||
\(155\) | − | 66.5594i | − | 0.429415i | ||||||
\(156\) | 5.63943 | + | 2.77235i | 0.0361502 | + | 0.0177715i | ||||
\(157\) | −74.9347 | −0.477291 | −0.238645 | − | 0.971107i | \(-0.576703\pi\) | ||||
−0.238645 | + | 0.971107i | \(0.576703\pi\) | |||||||
\(158\) | − | 237.991i | − | 1.50627i | ||||||
\(159\) | −62.3445 | + | 126.819i | −0.392104 | + | 0.797605i | ||||
\(160\) | 199.180 | 1.24487 | ||||||||
\(161\) | 10.2900i | 0.0639128i | ||||||||
\(162\) | 185.303 | + | 48.6659i | 1.14385 | + | 0.300407i | ||||
\(163\) | −313.263 | −1.92186 | −0.960930 | − | 0.276791i | \(-0.910729\pi\) | ||||
−0.960930 | + | 0.276791i | \(0.910729\pi\) | |||||||
\(164\) | − | 76.1814i | − | 0.464520i | ||||||
\(165\) | 282.071 | + | 138.666i | 1.70952 | + | 0.840403i | ||||
\(166\) | 144.171 | 0.868499 | ||||||||
\(167\) | − | 239.568i | − | 1.43454i | −0.696795 | − | 0.717270i | \(-0.745391\pi\) | ||
0.696795 | − | 0.717270i | \(-0.254609\pi\) | |||||||
\(168\) | −5.68825 | + | 11.5709i | −0.0338586 | + | 0.0688742i | ||||
\(169\) | −167.274 | −0.989789 | ||||||||
\(170\) | 326.571i | 1.92101i | ||||||||
\(171\) | 64.8860 | + | 84.1273i | 0.379450 | + | 0.491973i | ||||
\(172\) | −39.3299 | −0.228662 | ||||||||
\(173\) | − | 277.582i | − | 1.60452i | −0.596977 | − | 0.802259i | \(-0.703631\pi\) | ||
0.596977 | − | 0.802259i | \(-0.296369\pi\) | |||||||
\(174\) | 229.547 | + | 112.846i | 1.31924 | + | 0.648538i | ||||
\(175\) | 32.4640 | 0.185508 | ||||||||
\(176\) | − | 252.060i | − | 1.43216i | ||||||
\(177\) | 10.1662 | − | 20.6797i | 0.0574359 | − | 0.116834i | ||||
\(178\) | −170.890 | −0.960054 | ||||||||
\(179\) | 65.6583i | 0.366806i | 0.983038 | + | 0.183403i | \(0.0587114\pi\) | ||||
−0.983038 | + | 0.183403i | \(0.941289\pi\) | |||||||
\(180\) | −93.6894 | + | 72.2611i | −0.520497 | + | 0.401450i | ||||
\(181\) | 79.2983 | 0.438112 | 0.219056 | − | 0.975712i | \(-0.429702\pi\) | ||||
0.219056 | + | 0.975712i | \(0.429702\pi\) | |||||||
\(182\) | − | 2.34711i | − | 0.0128962i | ||||||
\(183\) | 113.013 | + | 55.5576i | 0.617560 | + | 0.303593i | ||||
\(184\) | −77.5053 | −0.421225 | ||||||||
\(185\) | − | 412.945i | − | 2.23213i | ||||||
\(186\) | 25.2720 | − | 51.4076i | 0.135871 | − | 0.276385i | ||||
\(187\) | 212.801 | 1.13797 | ||||||||
\(188\) | 28.8636i | 0.153530i | ||||||||
\(189\) | −4.05346 | − | 19.9884i | −0.0214469 | − | 0.105759i | ||||
\(190\) | −230.208 | −1.21162 | ||||||||
\(191\) | − | 233.915i | − | 1.22469i | −0.790592 | − | 0.612343i | \(-0.790227\pi\) | ||
0.790592 | − | 0.612343i | \(-0.209773\pi\) | |||||||
\(192\) | −59.7729 | − | 29.3844i | −0.311317 | − | 0.153044i | ||||
\(193\) | −64.8763 | −0.336147 | −0.168073 | − | 0.985774i | \(-0.553755\pi\) | ||||
−0.168073 | + | 0.985774i | \(0.553755\pi\) | |||||||
\(194\) | 406.593i | 2.09584i | ||||||||
\(195\) | −14.3350 | + | 29.1599i | −0.0735130 | + | 0.149538i | ||||
\(196\) | 77.2217 | 0.393989 | ||||||||
\(197\) | 197.217i | 1.00110i | 0.865707 | + | 0.500551i | \(0.166869\pi\) | ||||
−0.865707 | + | 0.500551i | \(0.833131\pi\) | |||||||
\(198\) | 165.209 | + | 214.200i | 0.834388 | + | 1.08182i | ||||
\(199\) | −240.503 | −1.20856 | −0.604280 | − | 0.796772i | \(-0.706539\pi\) | ||||
−0.604280 | + | 0.796772i | \(0.706539\pi\) | |||||||
\(200\) | 244.523i | 1.22262i | ||||||||
\(201\) | 227.564 | + | 111.871i | 1.13216 | + | 0.556571i | ||||
\(202\) | −35.8618 | −0.177534 | ||||||||
\(203\) | − | 27.2293i | − | 0.134135i | ||||||
\(204\) | −35.3408 | + | 71.8892i | −0.173239 | + | 0.352398i | ||||
\(205\) | 393.912 | 1.92152 | ||||||||
\(206\) | 409.450i | 1.98762i | ||||||||
\(207\) | 97.0795 | − | 74.8758i | 0.468983 | − | 0.361719i | ||||
\(208\) | 26.0574 | 0.125276 | ||||||||
\(209\) | 150.009i | 0.717746i | ||||||||
\(210\) | 39.6593 | + | 19.4966i | 0.188854 | + | 0.0928409i | ||||
\(211\) | −347.814 | −1.64841 | −0.824205 | − | 0.566292i | \(-0.808377\pi\) | ||||
−0.824205 | + | 0.566292i | \(0.808377\pi\) | |||||||
\(212\) | − | 75.1100i | − | 0.354292i | ||||||
\(213\) | −155.972 | + | 317.273i | −0.732262 | + | 1.48954i | ||||
\(214\) | −451.966 | −2.11199 | ||||||||
\(215\) | − | 203.364i | − | 0.945877i | ||||||
\(216\) | 150.555 | − | 30.5312i | 0.697014 | − | 0.141348i | ||||
\(217\) | −6.09808 | −0.0281017 | ||||||||
\(218\) | − | 29.2141i | − | 0.134010i | ||||||
\(219\) | −286.511 | − | 140.849i | −1.30827 | − | 0.643148i | ||||
\(220\) | −167.059 | −0.759361 | ||||||||
\(221\) | 21.9989i | 0.0995427i | ||||||||
\(222\) | 156.792 | − | 318.941i | 0.706269 | − | 1.43667i | ||||
\(223\) | 297.512 | 1.33413 | 0.667066 | − | 0.744998i | \(-0.267550\pi\) | ||||
0.667066 | + | 0.744998i | \(0.267550\pi\) | |||||||
\(224\) | − | 18.2486i | − | 0.0814668i | ||||||
\(225\) | −236.227 | − | 306.278i | −1.04990 | − | 1.36124i | ||||
\(226\) | −333.112 | −1.47395 | ||||||||
\(227\) | − | 54.2423i | − | 0.238953i | −0.992837 | − | 0.119476i | \(-0.961878\pi\) | ||
0.992837 | − | 0.119476i | \(-0.0381216\pi\) | |||||||
\(228\) | −50.6765 | − | 24.9126i | −0.222265 | − | 0.109266i | ||||
\(229\) | −225.479 | −0.984624 | −0.492312 | − | 0.870419i | \(-0.663848\pi\) | ||||
−0.492312 | + | 0.870419i | \(0.663848\pi\) | |||||||
\(230\) | 265.651i | 1.15500i | ||||||||
\(231\) | 12.7044 | − | 25.8429i | 0.0549975 | − | 0.111874i | ||||
\(232\) | 205.095 | 0.884030 | ||||||||
\(233\) | − | 73.7226i | − | 0.316406i | −0.987407 | − | 0.158203i | \(-0.949430\pi\) | ||
0.987407 | − | 0.158203i | \(-0.0505700\pi\) | |||||||
\(234\) | −22.1435 | + | 17.0789i | −0.0946305 | + | 0.0729869i | ||||
\(235\) | −149.245 | −0.635087 | ||||||||
\(236\) | 12.2478i | 0.0518973i | ||||||||
\(237\) | 270.892 | + | 133.171i | 1.14300 | + | 0.561903i | ||||
\(238\) | 29.9200 | 0.125714 | ||||||||
\(239\) | − | 338.302i | − | 1.41549i | −0.706468 | − | 0.707745i | \(-0.749713\pi\) | ||
0.706468 | − | 0.707745i | \(-0.250287\pi\) | |||||||
\(240\) | −216.450 | + | 440.295i | −0.901874 | + | 1.83456i | ||||
\(241\) | 238.213 | 0.988435 | 0.494218 | − | 0.869338i | \(-0.335455\pi\) | ||||
0.494218 | + | 0.869338i | \(0.335455\pi\) | |||||||
\(242\) | 95.7458i | 0.395644i | ||||||||
\(243\) | −159.083 | + | 183.689i | −0.654662 | + | 0.755922i | ||||
\(244\) | −66.9334 | −0.274317 | ||||||||
\(245\) | 399.292i | 1.62976i | ||||||||
\(246\) | 304.241 | + | 149.565i | 1.23675 | + | 0.607989i | ||||
\(247\) | −15.5076 | −0.0627838 | ||||||||
\(248\) | − | 45.9315i | − | 0.185208i | ||||||
\(249\) | −80.6727 | + | 164.102i | −0.323987 | + | 0.659044i | ||||
\(250\) | 350.576 | 1.40230 | ||||||||
\(251\) | 151.843i | 0.604953i | 0.953157 | + | 0.302477i | \(0.0978134\pi\) | ||||
−0.953157 | + | 0.302477i | \(0.902187\pi\) | |||||||
\(252\) | 6.62046 | + | 8.58369i | 0.0262717 | + | 0.0340623i | ||||
\(253\) | 173.104 | 0.684207 | ||||||||
\(254\) | − | 349.515i | − | 1.37604i | ||||||
\(255\) | −371.719 | − | 182.737i | −1.45772 | − | 0.716617i | ||||
\(256\) | 263.964 | 1.03111 | ||||||||
\(257\) | 370.120i | 1.44016i | 0.693893 | + | 0.720078i | \(0.255894\pi\) | ||||
−0.693893 | + | 0.720078i | \(0.744106\pi\) | |||||||
\(258\) | 77.2155 | − | 157.069i | 0.299285 | − | 0.608796i | ||||
\(259\) | −37.8334 | −0.146075 | ||||||||
\(260\) | − | 17.2702i | − | 0.0664240i | ||||||
\(261\) | −256.892 | + | 198.137i | −0.984261 | + | 0.759144i | ||||
\(262\) | −112.496 | −0.429375 | ||||||||
\(263\) | 280.769i | 1.06756i | 0.845622 | + | 0.533782i | \(0.179230\pi\) | ||||
−0.845622 | + | 0.533782i | \(0.820770\pi\) | |||||||
\(264\) | 194.652 | + | 95.6914i | 0.737320 | + | 0.362467i | ||||
\(265\) | 388.372 | 1.46556 | ||||||||
\(266\) | 21.0914i | 0.0792908i | ||||||||
\(267\) | 95.6236 | − | 194.514i | 0.358141 | − | 0.728518i | ||||
\(268\) | −134.777 | −0.502900 | ||||||||
\(269\) | − | 259.946i | − | 0.966342i | −0.875526 | − | 0.483171i | \(-0.839485\pi\) | ||
0.875526 | − | 0.483171i | \(-0.160515\pi\) | |||||||
\(270\) | −104.646 | − | 516.030i | −0.387579 | − | 1.91122i | ||||
\(271\) | 142.113 | 0.524402 | 0.262201 | − | 0.965013i | \(-0.415552\pi\) | ||||
0.262201 | + | 0.965013i | \(0.415552\pi\) | |||||||
\(272\) | 332.170i | 1.22121i | ||||||||
\(273\) | 2.67159 | + | 1.31336i | 0.00978603 | + | 0.00481083i | ||||
\(274\) | 619.269 | 2.26011 | ||||||||
\(275\) | − | 546.130i | − | 1.98593i | ||||||
\(276\) | −28.7482 | + | 58.4786i | −0.104160 | + | 0.211879i | ||||
\(277\) | 246.675 | 0.890523 | 0.445262 | − | 0.895400i | \(-0.353111\pi\) | ||||
0.445262 | + | 0.895400i | \(0.353111\pi\) | |||||||
\(278\) | 328.628i | 1.18212i | ||||||||
\(279\) | 44.3732 | + | 57.5316i | 0.159044 | + | 0.206207i | ||||
\(280\) | 35.4347 | 0.126553 | ||||||||
\(281\) | − | 68.3398i | − | 0.243202i | −0.992579 | − | 0.121601i | \(-0.961197\pi\) | ||
0.992579 | − | 0.121601i | \(-0.0388028\pi\) | |||||||
\(282\) | −115.271 | − | 56.6673i | −0.408762 | − | 0.200948i | ||||
\(283\) | −104.955 | −0.370866 | −0.185433 | − | 0.982657i | \(-0.559369\pi\) | ||||
−0.185433 | + | 0.982657i | \(0.559369\pi\) | |||||||
\(284\) | − | 187.908i | − | 0.661649i | ||||||
\(285\) | 128.816 | − | 262.034i | 0.451987 | − | 0.919417i | ||||
\(286\) | −39.4845 | −0.138058 | ||||||||
\(287\) | − | 36.0897i | − | 0.125748i | ||||||
\(288\) | −172.164 | + | 132.787i | −0.597792 | + | 0.461067i | ||||
\(289\) | 8.56615 | 0.0296406 | ||||||||
\(290\) | − | 702.967i | − | 2.42402i | ||||||
\(291\) | −462.804 | − | 227.515i | −1.59039 | − | 0.781838i | ||||
\(292\) | 169.689 | 0.581128 | ||||||||
\(293\) | − | 9.70650i | − | 0.0331280i | −0.999863 | − | 0.0165640i | \(-0.994727\pi\) | ||
0.999863 | − | 0.0165640i | \(-0.00527273\pi\) | |||||||
\(294\) | −151.608 | + | 308.396i | −0.515673 | + | 1.04897i | ||||
\(295\) | −63.3297 | −0.214677 | ||||||||
\(296\) | − | 284.966i | − | 0.962724i | ||||||
\(297\) | −336.257 | + | 68.1899i | −1.13218 | + | 0.229596i | ||||
\(298\) | 135.721 | 0.455441 | ||||||||
\(299\) | 17.8951i | 0.0598500i | ||||||||
\(300\) | 184.495 | + | 90.6981i | 0.614984 | + | 0.302327i | ||||
\(301\) | −18.6319 | −0.0619000 | ||||||||
\(302\) | − | 107.368i | − | 0.355524i | ||||||
\(303\) | 20.0669 | − | 40.8195i | 0.0662275 | − | 0.134718i | ||||
\(304\) | −234.155 | −0.770246 | ||||||||
\(305\) | − | 346.094i | − | 1.13473i | ||||||
\(306\) | −217.716 | − | 282.277i | −0.711489 | − | 0.922474i | ||||
\(307\) | 266.280 | 0.867363 | 0.433682 | − | 0.901066i | \(-0.357214\pi\) | ||||
0.433682 | + | 0.901066i | \(0.357214\pi\) | |||||||
\(308\) | 15.3057i | 0.0496940i | ||||||||
\(309\) | −466.056 | − | 229.114i | −1.50827 | − | 0.741468i | ||||
\(310\) | −157.431 | −0.507842 | ||||||||
\(311\) | − | 186.416i | − | 0.599408i | −0.954032 | − | 0.299704i | \(-0.903112\pi\) | ||
0.954032 | − | 0.299704i | \(-0.0968879\pi\) | |||||||
\(312\) | −9.89237 | + | 20.1227i | −0.0317063 | + | 0.0644960i | ||||
\(313\) | 564.581 | 1.80377 | 0.901887 | − | 0.431972i | \(-0.142182\pi\) | ||||
0.901887 | + | 0.431972i | \(0.142182\pi\) | |||||||
\(314\) | 177.241i | 0.564462i | ||||||||
\(315\) | −44.3838 | + | 34.2325i | −0.140901 | + | 0.108675i | ||||
\(316\) | −160.439 | −0.507717 | ||||||||
\(317\) | 66.4847i | 0.209731i | 0.994486 | + | 0.104866i | \(0.0334412\pi\) | ||||
−0.994486 | + | 0.104866i | \(0.966559\pi\) | |||||||
\(318\) | 299.962 | + | 147.462i | 0.943277 | + | 0.463716i | ||||
\(319\) | −458.069 | −1.43595 | ||||||||
\(320\) | 183.049i | 0.572029i | ||||||||
\(321\) | 252.904 | − | 514.449i | 0.787862 | − | 1.60264i | ||||
\(322\) | 24.3386 | 0.0755856 | ||||||||
\(323\) | − | 197.685i | − | 0.612027i | ||||||
\(324\) | 32.8076 | − | 124.920i | 0.101258 | − | 0.385556i | ||||
\(325\) | 56.4577 | 0.173716 | ||||||||
\(326\) | 740.954i | 2.27286i | ||||||||
\(327\) | 33.2529 | + | 16.3472i | 0.101691 | + | 0.0499913i | ||||
\(328\) | 271.832 | 0.828757 | ||||||||
\(329\) | 13.6737i | 0.0415613i | ||||||||
\(330\) | 327.984 | − | 667.175i | 0.993891 | − | 2.02174i | ||||
\(331\) | −112.836 | −0.340893 | −0.170446 | − | 0.985367i | \(-0.554521\pi\) | ||||
−0.170446 | + | 0.985367i | \(0.554521\pi\) | |||||||
\(332\) | − | 97.1911i | − | 0.292744i | ||||||
\(333\) | 275.298 | + | 356.935i | 0.826721 | + | 1.07188i | ||||
\(334\) | −566.645 | −1.69654 | ||||||||
\(335\) | − | 696.895i | − | 2.08028i | ||||||
\(336\) | 40.3392 | + | 19.8308i | 0.120057 | + | 0.0590203i | ||||
\(337\) | −419.505 | −1.24482 | −0.622411 | − | 0.782690i | \(-0.713847\pi\) | ||||
−0.622411 | + | 0.782690i | \(0.713847\pi\) | |||||||
\(338\) | 395.650i | 1.17056i | ||||||||
\(339\) | 186.398 | − | 379.164i | 0.549845 | − | 1.11848i | ||||
\(340\) | 220.154 | 0.647512 | ||||||||
\(341\) | 102.586i | 0.300838i | ||||||||
\(342\) | 198.984 | − | 153.473i | 0.581825 | − | 0.448752i | ||||
\(343\) | 73.5961 | 0.214566 | ||||||||
\(344\) | − | 140.338i | − | 0.407959i | ||||||
\(345\) | −302.376 | − | 148.649i | −0.876453 | − | 0.430866i | ||||
\(346\) | −656.556 | −1.89756 | ||||||||
\(347\) | 399.509i | 1.15132i | 0.817688 | + | 0.575662i | \(0.195256\pi\) | ||||
−0.817688 | + | 0.575662i | \(0.804744\pi\) | |||||||
\(348\) | 76.0736 | − | 154.746i | 0.218602 | − | 0.444674i | ||||
\(349\) | −139.763 | −0.400466 | −0.200233 | − | 0.979748i | \(-0.564170\pi\) | ||||
−0.200233 | + | 0.979748i | \(0.564170\pi\) | |||||||
\(350\) | − | 76.7862i | − | 0.219389i | ||||||
\(351\) | −7.04932 | − | 34.7615i | −0.0200835 | − | 0.0990358i | ||||
\(352\) | −306.989 | −0.872127 | ||||||||
\(353\) | 257.040i | 0.728158i | 0.931368 | + | 0.364079i | \(0.118616\pi\) | ||||
−0.931368 | + | 0.364079i | \(0.881384\pi\) | |||||||
\(354\) | −48.9131 | − | 24.0458i | −0.138173 | − | 0.0679259i | ||||
\(355\) | 971.620 | 2.73696 | ||||||||
\(356\) | 115.203i | 0.323604i | ||||||||
\(357\) | −16.7421 | + | 34.0563i | −0.0468968 | + | 0.0953959i | ||||
\(358\) | 155.300 | 0.433799 | ||||||||
\(359\) | 619.504i | 1.72564i | 0.505514 | + | 0.862818i | \(0.331303\pi\) | ||||
−0.505514 | + | 0.862818i | \(0.668697\pi\) | |||||||
\(360\) | −257.844 | − | 334.305i | −0.716233 | − | 0.928625i | ||||
\(361\) | −221.647 | −0.613981 | ||||||||
\(362\) | − | 187.562i | − | 0.518128i | ||||||
\(363\) | −108.982 | − | 53.5758i | −0.300227 | − | 0.147592i | ||||
\(364\) | −1.58228 | −0.00434691 | ||||||||
\(365\) | 877.415i | 2.40388i | ||||||||
\(366\) | 131.409 | − | 267.308i | 0.359041 | − | 0.730349i | ||||
\(367\) | −102.428 | −0.279095 | −0.139548 | − | 0.990215i | \(-0.544565\pi\) | ||||
−0.139548 | + | 0.990215i | \(0.544565\pi\) | |||||||
\(368\) | 270.205i | 0.734253i | ||||||||
\(369\) | −340.484 | + | 262.610i | −0.922721 | + | 0.711680i | ||||
\(370\) | −976.727 | −2.63980 | ||||||||
\(371\) | − | 35.5821i | − | 0.0959087i | ||||||
\(372\) | −34.6558 | − | 17.0369i | −0.0931608 | − | 0.0457980i | ||||
\(373\) | −293.963 | −0.788105 | −0.394052 | − | 0.919088i | \(-0.628927\pi\) | ||||
−0.394052 | + | 0.919088i | \(0.628927\pi\) | |||||||
\(374\) | − | 503.333i | − | 1.34581i | ||||||
\(375\) | −196.169 | + | 399.042i | −0.523118 | + | 1.06411i | ||||
\(376\) | −102.992 | −0.273914 | ||||||||
\(377\) | − | 47.3542i | − | 0.125608i | ||||||
\(378\) | −47.2780 | + | 9.58754i | −0.125074 | + | 0.0253639i | ||||
\(379\) | −0.946681 | −0.00249784 | −0.00124892 | − | 0.999999i | \(-0.500398\pi\) | ||||
−0.00124892 | + | 0.999999i | \(0.500398\pi\) | |||||||
\(380\) | 155.192i | 0.408401i | ||||||||
\(381\) | 397.834 | + | 195.576i | 1.04418 | + | 0.513322i | ||||
\(382\) | −553.273 | −1.44836 | ||||||||
\(383\) | − | 136.045i | − | 0.355210i | −0.984102 | − | 0.177605i | \(-0.943165\pi\) | ||
0.984102 | − | 0.177605i | \(-0.0568349\pi\) | |||||||
\(384\) | −197.398 | + | 401.540i | −0.514056 | + | 1.04568i | ||||
\(385\) | −79.1417 | −0.205563 | ||||||||
\(386\) | 153.450i | 0.397539i | ||||||||
\(387\) | 135.577 | + | 175.781i | 0.350327 | + | 0.454213i | ||||
\(388\) | 274.100 | 0.706444 | ||||||||
\(389\) | − | 152.657i | − | 0.392433i | −0.980561 | − | 0.196217i | \(-0.937134\pi\) | ||
0.980561 | − | 0.196217i | \(-0.0628656\pi\) | |||||||
\(390\) | 68.9711 | + | 33.9063i | 0.176849 | + | 0.0869392i | ||||
\(391\) | −228.120 | −0.583428 | ||||||||
\(392\) | 275.545i | 0.702920i | ||||||||
\(393\) | 62.9488 | − | 128.049i | 0.160175 | − | 0.325823i | ||||
\(394\) | 466.472 | 1.18394 | ||||||||
\(395\) | − | 829.582i | − | 2.10021i | ||||||
\(396\) | 144.400 | − | 111.374i | 0.364647 | − | 0.281246i | ||||
\(397\) | 350.842 | 0.883733 | 0.441867 | − | 0.897081i | \(-0.354316\pi\) | ||||
0.441867 | + | 0.897081i | \(0.354316\pi\) | |||||||
\(398\) | 568.856i | 1.42929i | ||||||||
\(399\) | −24.0072 | − | 11.8020i | −0.0601683 | − | 0.0295788i | ||||
\(400\) | 852.476 | 2.13119 | ||||||||
\(401\) | 522.970i | 1.30417i | 0.758148 | + | 0.652083i | \(0.226105\pi\) | ||||
−0.758148 | + | 0.652083i | \(0.773895\pi\) | |||||||
\(402\) | 264.605 | − | 538.251i | 0.658222 | − | 1.33893i | ||||
\(403\) | −10.6051 | −0.0263154 | ||||||||
\(404\) | 24.1758i | 0.0598411i | ||||||||
\(405\) | 645.926 | + | 169.639i | 1.59488 | + | 0.418861i | ||||
\(406\) | −64.4049 | −0.158633 | ||||||||
\(407\) | 636.458i | 1.56378i | ||||||||
\(408\) | −256.517 | − | 126.104i | −0.628718 | − | 0.309079i | ||||
\(409\) | 639.029 | 1.56242 | 0.781209 | − | 0.624270i | \(-0.214603\pi\) | ||||
0.781209 | + | 0.624270i | \(0.214603\pi\) | |||||||
\(410\) | − | 931.710i | − | 2.27246i | ||||||
\(411\) | −346.520 | + | 704.881i | −0.843115 | + | 1.71504i | ||||
\(412\) | 276.026 | 0.669967 | ||||||||
\(413\) | 5.80218i | 0.0140489i | ||||||||
\(414\) | −177.102 | − | 229.620i | −0.427782 | − | 0.554637i | ||||
\(415\) | 502.547 | 1.21096 | ||||||||
\(416\) | − | 31.7359i | − | 0.0762881i | ||||||
\(417\) | −374.060 | − | 183.888i | −0.897026 | − | 0.440979i | ||||
\(418\) | 354.812 | 0.848833 | ||||||||
\(419\) | − | 378.805i | − | 0.904069i | −0.892000 | − | 0.452035i | \(-0.850698\pi\) | ||
0.892000 | − | 0.452035i | \(-0.149302\pi\) | |||||||
\(420\) | 13.1434 | − | 26.7359i | 0.0312938 | − | 0.0636569i | ||||
\(421\) | −672.352 | −1.59704 | −0.798518 | − | 0.601971i | \(-0.794382\pi\) | ||||
−0.798518 | + | 0.601971i | \(0.794382\pi\) | |||||||
\(422\) | 822.676i | 1.94947i | ||||||||
\(423\) | 129.003 | − | 99.4976i | 0.304971 | − | 0.235219i | ||||
\(424\) | 268.009 | 0.632098 | ||||||||
\(425\) | 719.701i | 1.69341i | ||||||||
\(426\) | 750.437 | + | 368.916i | 1.76159 | + | 0.866000i | ||||
\(427\) | −31.7086 | −0.0742590 | ||||||||
\(428\) | 304.688i | 0.711887i | ||||||||
\(429\) | 22.0941 | − | 44.9431i | 0.0515014 | − | 0.104763i | ||||
\(430\) | −481.011 | −1.11863 | ||||||||
\(431\) | 152.719i | 0.354337i | 0.984180 | + | 0.177169i | \(0.0566938\pi\) | ||||
−0.984180 | + | 0.177169i | \(0.943306\pi\) | |||||||
\(432\) | −106.440 | − | 524.877i | −0.246389 | − | 1.21499i | ||||
\(433\) | −72.8581 | −0.168264 | −0.0841318 | − | 0.996455i | \(-0.526812\pi\) | ||||
−0.0841318 | + | 0.996455i | \(0.526812\pi\) | |||||||
\(434\) | 14.4236i | 0.0332341i | ||||||||
\(435\) | 800.150 | + | 393.355i | 1.83942 | + | 0.904264i | ||||
\(436\) | −19.6944 | −0.0451706 | ||||||||
\(437\) | − | 160.808i | − | 0.367981i | ||||||
\(438\) | −333.147 | + | 677.678i | −0.760610 | + | 1.54721i | ||||
\(439\) | 527.988 | 1.20271 | 0.601353 | − | 0.798984i | \(-0.294629\pi\) | ||||
0.601353 | + | 0.798984i | \(0.294629\pi\) | |||||||
\(440\) | − | 596.106i | − | 1.35479i | ||||||
\(441\) | −266.196 | − | 345.134i | −0.603619 | − | 0.782617i | ||||
\(442\) | 52.0335 | 0.117723 | ||||||||
\(443\) | − | 445.420i | − | 1.00546i | −0.864443 | − | 0.502731i | \(-0.832328\pi\) | ||
0.864443 | − | 0.502731i | \(-0.167672\pi\) | |||||||
\(444\) | −215.010 | − | 105.699i | −0.484257 | − | 0.238061i | ||||
\(445\) | −595.683 | −1.33861 | ||||||||
\(446\) | − | 703.696i | − | 1.57779i | ||||||
\(447\) | −75.9447 | + | 154.484i | −0.169899 | + | 0.345602i | ||||
\(448\) | 16.7707 | 0.0374346 | ||||||||
\(449\) | 405.943i | 0.904104i | 0.891992 | + | 0.452052i | \(0.149308\pi\) | ||||
−0.891992 | + | 0.452052i | \(0.850692\pi\) | |||||||
\(450\) | −724.431 | + | 558.742i | −1.60985 | + | 1.24165i | ||||
\(451\) | −607.124 | −1.34617 | ||||||||
\(452\) | 224.564i | 0.496823i | ||||||||
\(453\) | 122.212 | + | 60.0794i | 0.269783 | + | 0.132626i | ||||
\(454\) | −128.298 | −0.282594 | ||||||||
\(455\) | − | 8.18150i | − | 0.0179813i | ||||||
\(456\) | 88.8939 | − | 180.825i | 0.194943 | − | 0.396546i | ||||
\(457\) | 4.27855 | 0.00936226 | 0.00468113 | − | 0.999989i | \(-0.498510\pi\) | ||||
0.00468113 | + | 0.999989i | \(0.498510\pi\) | |||||||
\(458\) | 533.319i | 1.16445i | ||||||||
\(459\) | 443.127 | − | 89.8620i | 0.965417 | − | 0.195778i | ||||
\(460\) | 179.086 | 0.389316 | ||||||||
\(461\) | 87.0024i | 0.188725i | 0.995538 | + | 0.0943627i | \(0.0300813\pi\) | ||||
−0.995538 | + | 0.0943627i | \(0.969919\pi\) | |||||||
\(462\) | −61.1256 | − | 30.0494i | −0.132307 | − | 0.0650421i | ||||
\(463\) | −144.683 | −0.312491 | −0.156245 | − | 0.987718i | \(-0.549939\pi\) | ||||
−0.156245 | + | 0.987718i | \(0.549939\pi\) | |||||||
\(464\) | − | 715.018i | − | 1.54099i | ||||||
\(465\) | 88.0927 | − | 179.195i | 0.189447 | − | 0.385367i | ||||
\(466\) | −174.374 | −0.374194 | ||||||||
\(467\) | − | 322.080i | − | 0.689678i | −0.938662 | − | 0.344839i | \(-0.887934\pi\) | ||
0.938662 | − | 0.344839i | \(-0.112066\pi\) | |||||||
\(468\) | 11.5136 | + | 14.9278i | 0.0246016 | + | 0.0318970i | ||||
\(469\) | −63.8485 | −0.136138 | ||||||||
\(470\) | 353.007i | 0.751078i | ||||||||
\(471\) | −201.744 | − | 99.1776i | −0.428331 | − | 0.210568i | ||||
\(472\) | −43.7028 | −0.0925906 | ||||||||
\(473\) | 313.438i | 0.662659i | ||||||||
\(474\) | 314.986 | − | 640.734i | 0.664527 | − | 1.35176i | ||||
\(475\) | −507.335 | −1.06807 | ||||||||
\(476\) | − | 20.1702i | − | 0.0423744i | ||||||
\(477\) | −335.696 | + | 258.917i | −0.703765 | + | 0.542802i | ||||
\(478\) | −800.177 | −1.67401 | ||||||||
\(479\) | − | 174.177i | − | 0.363625i | −0.983333 | − | 0.181813i | \(-0.941804\pi\) | ||
0.983333 | − | 0.181813i | \(-0.0581965\pi\) | |||||||
\(480\) | 536.244 | + | 263.618i | 1.11718 | + | 0.549205i | ||||
\(481\) | −65.7956 | −0.136789 | ||||||||
\(482\) | − | 563.439i | − | 1.16896i | ||||||
\(483\) | −13.6190 | + | 27.7033i | −0.0281966 | + | 0.0573567i | ||||
\(484\) | 64.5459 | 0.133359 | ||||||||
\(485\) | 1417.29i | 2.92226i | ||||||||
\(486\) | 434.475 | + | 376.274i | 0.893981 | + | 0.774227i | ||||
\(487\) | 312.915 | 0.642537 | 0.321268 | − | 0.946988i | \(-0.395891\pi\) | ||||
0.321268 | + | 0.946988i | \(0.395891\pi\) | |||||||
\(488\) | − | 238.833i | − | 0.489413i | ||||||
\(489\) | −843.388 | − | 414.611i | −1.72472 | − | 0.847875i | ||||
\(490\) | 944.435 | 1.92742 | ||||||||
\(491\) | − | 308.713i | − | 0.628744i | −0.949300 | − | 0.314372i | \(-0.898206\pi\) | ||
0.949300 | − | 0.314372i | \(-0.101794\pi\) | |||||||
\(492\) | 100.828 | − | 205.100i | 0.204934 | − | 0.416871i | ||||
\(493\) | 603.653 | 1.22445 | ||||||||
\(494\) | 36.6797i | 0.0742505i | ||||||||
\(495\) | 575.881 | + | 746.653i | 1.16340 | + | 1.50839i | ||||
\(496\) | −160.130 | −0.322843 | ||||||||
\(497\) | − | 89.0185i | − | 0.179112i | ||||||
\(498\) | 388.146 | + | 190.813i | 0.779410 | + | 0.383159i | ||||
\(499\) | 221.514 | 0.443915 | 0.221957 | − | 0.975056i | \(-0.428755\pi\) | ||||
0.221957 | + | 0.975056i | \(0.428755\pi\) | |||||||
\(500\) | − | 236.337i | − | 0.472673i | ||||||
\(501\) | 317.074 | − | 644.981i | 0.632882 | − | 1.28739i | ||||
\(502\) | 359.151 | 0.715440 | ||||||||
\(503\) | 444.545i | 0.883786i | 0.897068 | + | 0.441893i | \(0.145693\pi\) | ||||
−0.897068 | + | 0.441893i | \(0.854307\pi\) | |||||||
\(504\) | −30.6286 | + | 23.6233i | −0.0607710 | + | 0.0468716i | ||||
\(505\) | −125.006 | −0.247537 | ||||||||
\(506\) | − | 409.439i | − | 0.809168i | ||||||
\(507\) | −450.347 | − | 221.391i | −0.888258 | − | 0.436669i | ||||
\(508\) | −235.621 | −0.463821 | ||||||||
\(509\) | − | 675.982i | − | 1.32806i | −0.747707 | − | 0.664029i | \(-0.768845\pi\) | ||
0.747707 | − | 0.664029i | \(-0.231155\pi\) | |||||||
\(510\) | −432.224 | + | 879.216i | −0.847498 | + | 1.72395i | ||||
\(511\) | 80.3875 | 0.157314 | ||||||||
\(512\) | − | 27.7635i | − | 0.0542257i | ||||||
\(513\) | 63.3460 | + | 312.371i | 0.123481 | + | 0.608910i | ||||
\(514\) | 875.435 | 1.70318 | ||||||||
\(515\) | 1427.25i | 2.77137i | ||||||||
\(516\) | −105.886 | − | 52.0539i | −0.205206 | − | 0.100880i | ||||
\(517\) | 230.027 | 0.444927 | ||||||||
\(518\) | 89.4864i | 0.172754i | ||||||||
\(519\) | 367.385 | − | 747.323i | 0.707871 | − | 1.43993i | ||||
\(520\) | 61.6241 | 0.118508 | ||||||||
\(521\) | 600.786i | 1.15314i | 0.817048 | + | 0.576570i | \(0.195609\pi\) | ||||
−0.817048 | + | 0.576570i | \(0.804391\pi\) | |||||||
\(522\) | 468.648 | + | 607.621i | 0.897792 | + | 1.16402i | ||||
\(523\) | 690.414 | 1.32010 | 0.660052 | − | 0.751220i | \(-0.270534\pi\) | ||||
0.660052 | + | 0.751220i | \(0.270534\pi\) | |||||||
\(524\) | 75.8381i | 0.144729i | ||||||||
\(525\) | 87.4016 | + | 42.9668i | 0.166479 | + | 0.0818415i | ||||
\(526\) | 664.097 | 1.26254 | ||||||||
\(527\) | − | 135.190i | − | 0.256527i | ||||||
\(528\) | 333.607 | − | 678.613i | 0.631831 | − | 1.28525i | ||||
\(529\) | 343.434 | 0.649214 | ||||||||
\(530\) | − | 918.607i | − | 1.73322i | ||||||
\(531\) | 54.7400 | − | 42.2200i | 0.103089 | − | 0.0795104i | ||||
\(532\) | 14.2185 | 0.0267265 | ||||||||
\(533\) | − | 62.7632i | − | 0.117755i | ||||||
\(534\) | −460.080 | − | 226.176i | −0.861573 | − | 0.423551i | ||||
\(535\) | −1575.45 | −2.94477 | ||||||||
\(536\) | − | 480.915i | − | 0.897230i | ||||||
\(537\) | −86.9002 | + | 176.770i | −0.161825 | + | 0.329180i | ||||
\(538\) | −614.844 | −1.14283 | ||||||||
\(539\) | − | 615.415i | − | 1.14177i | ||||||
\(540\) | −347.876 | + | 70.5460i | −0.644215 | + | 0.130641i | ||||
\(541\) | 2.37133 | 0.00438324 | 0.00219162 | − | 0.999998i | \(-0.499302\pi\) | ||||
0.00219162 | + | 0.999998i | \(0.499302\pi\) | |||||||
\(542\) | − | 336.136i | − | 0.620177i | ||||||
\(543\) | 213.492 | + | 104.953i | 0.393172 | + | 0.193284i | ||||
\(544\) | 404.556 | 0.743669 | ||||||||
\(545\) | − | 101.834i | − | 0.186851i | ||||||
\(546\) | 3.10645 | − | 6.31904i | 0.00568946 | − | 0.0115733i | ||||
\(547\) | −78.2775 | −0.143103 | −0.0715517 | − | 0.997437i | \(-0.522795\pi\) | ||||
−0.0715517 | + | 0.997437i | \(0.522795\pi\) | |||||||
\(548\) | − | 417.473i | − | 0.761812i | ||||||
\(549\) | 230.731 | + | 299.151i | 0.420274 | + | 0.544902i | ||||
\(550\) | −1291.75 | −2.34863 | ||||||||
\(551\) | 425.530i | 0.772287i | ||||||||
\(552\) | −208.665 | − | 102.580i | −0.378016 | − | 0.185833i | ||||
\(553\) | −76.0052 | −0.137442 | ||||||||
\(554\) | − | 583.454i | − | 1.05317i | ||||||
\(555\) | 546.541 | − | 1111.76i | 0.984759 | − | 2.00316i | ||||
\(556\) | 221.541 | 0.398455 | ||||||||
\(557\) | − | 116.140i | − | 0.208509i | −0.994551 | − | 0.104255i | \(-0.966754\pi\) | ||
0.994551 | − | 0.104255i | \(-0.0332457\pi\) | |||||||
\(558\) | 136.078 | − | 104.955i | 0.243868 | − | 0.188091i | ||||
\(559\) | −32.4025 | −0.0579651 | ||||||||
\(560\) | − | 123.535i | − | 0.220599i | ||||||
\(561\) | 572.918 | + | 281.647i | 1.02124 | + | 0.502045i | ||||
\(562\) | −161.642 | −0.287620 | ||||||||
\(563\) | 509.696i | 0.905321i | 0.891683 | + | 0.452661i | \(0.149525\pi\) | ||||
−0.891683 | + | 0.452661i | \(0.850475\pi\) | |||||||
\(564\) | −38.2016 | + | 77.7085i | −0.0677333 | + | 0.137781i | ||||
\(565\) | −1161.16 | −2.05514 | ||||||||
\(566\) | 248.247i | 0.438600i | ||||||||
\(567\) | 15.5421 | − | 59.1788i | 0.0274110 | − | 0.104372i | ||||
\(568\) | 670.499 | 1.18046 | ||||||||
\(569\) | − | 795.747i | − | 1.39850i | −0.714877 | − | 0.699250i | \(-0.753517\pi\) | ||
0.714877 | − | 0.699250i | \(-0.246483\pi\) | |||||||
\(570\) | −619.782 | − | 304.686i | −1.08734 | − | 0.534536i | ||||
\(571\) | −324.633 | −0.568534 | −0.284267 | − | 0.958745i | \(-0.591750\pi\) | ||||
−0.284267 | + | 0.958745i | \(0.591750\pi\) | |||||||
\(572\) | 26.6180i | 0.0465350i | ||||||||
\(573\) | 309.591 | − | 629.761i | 0.540299 | − | 1.09906i | ||||
\(574\) | −85.3620 | −0.148714 | ||||||||
\(575\) | 585.444i | 1.01816i | ||||||||
\(576\) | −122.034 | − | 158.221i | −0.211864 | − | 0.274690i | ||||
\(577\) | −209.324 | −0.362780 | −0.181390 | − | 0.983411i | \(-0.558060\pi\) | ||||
−0.181390 | + | 0.983411i | \(0.558060\pi\) | |||||||
\(578\) | − | 20.2613i | − | 0.0350541i | ||||||
\(579\) | −174.664 | − | 85.8652i | −0.301665 | − | 0.148299i | ||||
\(580\) | −473.897 | −0.817064 | ||||||||
\(581\) | − | 46.0427i | − | 0.0792473i | ||||||
\(582\) | −538.135 | + | 1094.66i | −0.924631 | + | 1.88085i | ||||
\(583\) | −598.586 | −1.02673 | ||||||||
\(584\) | 605.490i | 1.03680i | ||||||||
\(585\) | −77.1874 | + | 59.5334i | −0.131944 | + | 0.101766i | ||||
\(586\) | −22.9585 | −0.0391784 | ||||||||
\(587\) | 84.7067i | 0.144304i | 0.997394 | + | 0.0721522i | \(0.0229867\pi\) | ||||
−0.997394 | + | 0.0721522i | \(0.977013\pi\) | |||||||
\(588\) | 207.901 | + | 102.205i | 0.353574 | + | 0.173817i | ||||
\(589\) | 95.2985 | 0.161797 | ||||||||
\(590\) | 149.792i | 0.253885i | ||||||||
\(591\) | −261.021 | + | 530.960i | −0.441660 | + | 0.898410i | ||||
\(592\) | −993.472 | −1.67816 | ||||||||
\(593\) | − | 1039.81i | − | 1.75347i | −0.480971 | − | 0.876737i | \(-0.659716\pi\) | ||
0.480971 | − | 0.876737i | \(-0.340284\pi\) | |||||||
\(594\) | 161.288 | + | 795.340i | 0.271528 | + | 1.33896i | ||||
\(595\) | 104.294 | 0.175285 | ||||||||
\(596\) | − | 91.4949i | − | 0.153515i | ||||||
\(597\) | −647.499 | − | 318.311i | −1.08459 | − | 0.533185i | ||||
\(598\) | 42.3269 | 0.0707808 | ||||||||
\(599\) | − | 331.588i | − | 0.553569i | −0.960932 | − | 0.276784i | \(-0.910731\pi\) | ||
0.960932 | − | 0.276784i | \(-0.0892688\pi\) | |||||||
\(600\) | −323.631 | + | 658.321i | −0.539386 | + | 1.09720i | ||||
\(601\) | 471.745 | 0.784933 | 0.392467 | − | 0.919766i | \(-0.371622\pi\) | ||||
0.392467 | + | 0.919766i | \(0.371622\pi\) | |||||||
\(602\) | 44.0695i | 0.0732052i | ||||||||
\(603\) | 464.599 | + | 602.372i | 0.770480 | + | 0.998958i | ||||
\(604\) | −72.3811 | −0.119836 | ||||||||
\(605\) | 333.749i | 0.551650i | ||||||||
\(606\) | −96.5494 | − | 47.4638i | −0.159322 | − | 0.0783232i | ||||
\(607\) | 631.905 | 1.04103 | 0.520515 | − | 0.853852i | \(-0.325740\pi\) | ||||
0.520515 | + | 0.853852i | \(0.325740\pi\) | |||||||
\(608\) | 285.182i | 0.469049i | ||||||||
\(609\) | 36.0386 | − | 73.3086i | 0.0591767 | − | 0.120375i | ||||
\(610\) | −818.606 | −1.34198 | ||||||||
\(611\) | 23.7797i | 0.0389193i | ||||||||
\(612\) | −190.294 | + | 146.770i | −0.310937 | + | 0.239821i | ||||
\(613\) | 727.960 | 1.18754 | 0.593768 | − | 0.804636i | \(-0.297640\pi\) | ||||
0.593768 | + | 0.804636i | \(0.297640\pi\) | |||||||
\(614\) | − | 629.826i | − | 1.02578i | ||||||
\(615\) | 1060.52 | + | 521.351i | 1.72442 | + | 0.847726i | ||||
\(616\) | −54.6144 | −0.0886597 | ||||||||
\(617\) | − | 342.421i | − | 0.554977i | −0.960729 | − | 0.277489i | \(-0.910498\pi\) | ||
0.960729 | − | 0.277489i | \(-0.0895021\pi\) | |||||||
\(618\) | −541.916 | + | 1102.35i | −0.876888 | + | 1.78374i | ||||
\(619\) | −882.209 | −1.42522 | −0.712608 | − | 0.701562i | \(-0.752486\pi\) | ||||
−0.712608 | + | 0.701562i | \(0.752486\pi\) | |||||||
\(620\) | 106.130i | 0.171178i | ||||||||
\(621\) | 360.463 | − | 73.0987i | 0.580456 | − | 0.117711i | ||||
\(622\) | −440.925 | −0.708882 | ||||||||
\(623\) | 54.5757i | 0.0876014i | ||||||||
\(624\) | 70.1535 | + | 34.4876i | 0.112426 | + | 0.0552686i | ||||
\(625\) | 147.602 | 0.236164 | ||||||||
\(626\) | − | 1335.39i | − | 2.13321i | ||||||
\(627\) | −198.540 | + | 403.864i | −0.316651 | + | 0.644121i | ||||
\(628\) | 119.485 | 0.190263 | ||||||||
\(629\) | − | 838.737i | − | 1.33344i | ||||||
\(630\) | 80.9693 | + | 104.980i | 0.128523 | + | 0.166635i | ||||
\(631\) | −145.624 | −0.230783 | −0.115392 | − | 0.993320i | \(-0.536812\pi\) | ||||
−0.115392 | + | 0.993320i | \(0.536812\pi\) | |||||||
\(632\) | − | 572.481i | − | 0.905825i | ||||||
\(633\) | −936.408 | − | 460.340i | −1.47932 | − | 0.727235i | ||||
\(634\) | 157.255 | 0.248036 | ||||||||
\(635\) | − | 1218.33i | − | 1.91863i | ||||||
\(636\) | 99.4097 | − | 202.216i | 0.156305 | − | 0.317950i | ||||
\(637\) | 63.6203 | 0.0998749 | ||||||||
\(638\) | 1083.46i | 1.69821i | ||||||||
\(639\) | −839.835 | + | 647.751i | −1.31430 | + | 1.01369i | ||||
\(640\) | 1229.68 | 1.92137 | ||||||||
\(641\) | 588.864i | 0.918665i | 0.888264 | + | 0.459332i | \(0.151911\pi\) | ||||
−0.888264 | + | 0.459332i | \(0.848089\pi\) | |||||||
\(642\) | −1216.81 | − | 598.187i | −1.89535 | − | 0.931755i | ||||
\(643\) | 86.5512 | 0.134605 | 0.0673027 | − | 0.997733i | \(-0.478561\pi\) | ||||
0.0673027 | + | 0.997733i | \(0.478561\pi\) | |||||||
\(644\) | − | 16.4076i | − | 0.0254776i | ||||||
\(645\) | 269.156 | − | 547.509i | 0.417296 | − | 0.848851i | ||||
\(646\) | −467.579 | −0.723806 | ||||||||
\(647\) | 607.286i | 0.938618i | 0.883034 | + | 0.469309i | \(0.155497\pi\) | ||||
−0.883034 | + | 0.469309i | \(0.844503\pi\) | |||||||
\(648\) | 445.743 | + | 117.065i | 0.687875 | + | 0.180656i | ||||
\(649\) | 97.6079 | 0.150397 | ||||||||
\(650\) | − | 133.538i | − | 0.205443i | ||||||
\(651\) | −16.4176 | − | 8.07093i | −0.0252191 | − | 0.0123977i | ||||
\(652\) | 499.505 | 0.766112 | ||||||||
\(653\) | − | 1115.22i | − | 1.70783i | −0.520410 | − | 0.853917i | \(-0.674221\pi\) | ||
0.520410 | − | 0.853917i | \(-0.325779\pi\) | |||||||
\(654\) | 38.6655 | − | 78.6522i | 0.0591216 | − | 0.120263i | ||||
\(655\) | −392.137 | −0.598683 | ||||||||
\(656\) | − | 947.683i | − | 1.44464i | ||||||
\(657\) | −584.947 | − | 758.407i | −0.890330 | − | 1.15435i | ||||
\(658\) | 32.3420 | 0.0491519 | ||||||||
\(659\) | − | 974.698i | − | 1.47906i | −0.673126 | − | 0.739528i | \(-0.735049\pi\) | ||
0.673126 | − | 0.739528i | \(-0.264951\pi\) | |||||||
\(660\) | −449.768 | − | 221.107i | −0.681467 | − | 0.335010i | ||||
\(661\) | −24.7297 | −0.0374126 | −0.0187063 | − | 0.999825i | \(-0.505955\pi\) | ||||
−0.0187063 | + | 0.999825i | \(0.505955\pi\) | |||||||
\(662\) | 266.887i | 0.403153i | ||||||||
\(663\) | −29.1161 | + | 59.2270i | −0.0439156 | + | 0.0893318i | ||||
\(664\) | 346.800 | 0.522289 | ||||||||
\(665\) | 73.5198i | 0.110556i | ||||||||
\(666\) | 844.249 | − | 651.156i | 1.26764 | − | 0.977711i | ||||
\(667\) | 491.045 | 0.736199 | ||||||||
\(668\) | 381.997i | 0.571852i | ||||||||
\(669\) | 800.980 | + | 393.763i | 1.19728 | + | 0.588584i | ||||
\(670\) | −1648.35 | −2.46022 | ||||||||
\(671\) | 533.423i | 0.794967i | ||||||||
\(672\) | 24.1524 | − | 49.1299i | 0.0359410 | − | 0.0731100i | ||||
\(673\) | 509.624 | 0.757243 | 0.378621 | − | 0.925552i | \(-0.376398\pi\) | ||||
0.378621 | + | 0.925552i | \(0.376398\pi\) | |||||||
\(674\) | 992.245i | 1.47217i | ||||||||
\(675\) | −230.620 | − | 1137.23i | −0.341660 | − | 1.68479i | ||||
\(676\) | 266.723 | 0.394560 | ||||||||
\(677\) | − | 344.692i | − | 0.509146i | −0.967054 | − | 0.254573i | \(-0.918065\pi\) | ||
0.967054 | − | 0.254573i | \(-0.0819349\pi\) | |||||||
\(678\) | −896.827 | − | 440.881i | −1.32275 | − | 0.650268i | ||||
\(679\) | 129.851 | 0.191238 | ||||||||
\(680\) | 785.560i | 1.15524i | ||||||||
\(681\) | 71.7908 | − | 146.035i | 0.105420 | − | 0.214441i | ||||
\(682\) | 242.643 | 0.355782 | ||||||||
\(683\) | 494.770i | 0.724407i | 0.932099 | + | 0.362204i | \(0.117976\pi\) | ||||
−0.932099 | + | 0.362204i | \(0.882024\pi\) | |||||||
\(684\) | −103.462 | − | 134.143i | −0.151260 | − | 0.196115i | ||||
\(685\) | 2158.63 | 3.15129 | ||||||||
\(686\) | − | 174.075i | − | 0.253754i | ||||||
\(687\) | −607.049 | − | 298.426i | −0.883623 | − | 0.434390i | ||||
\(688\) | −489.257 | −0.711129 | ||||||||
\(689\) | − | 61.8805i | − | 0.0898120i | ||||||
\(690\) | −351.595 | + | 715.203i | −0.509558 | + | 1.03653i | ||||
\(691\) | 399.559 | 0.578234 | 0.289117 | − | 0.957294i | \(-0.406638\pi\) | ||||
0.289117 | + | 0.957294i | \(0.406638\pi\) | |||||||
\(692\) | 442.610i | 0.639610i | ||||||||
\(693\) | 68.4074 | − | 52.7614i | 0.0987119 | − | 0.0761348i | ||||
\(694\) | 944.949 | 1.36160 | ||||||||
\(695\) | 1145.53i | 1.64824i | ||||||||
\(696\) | 552.170 | + | 271.448i | 0.793348 | + | 0.390011i | ||||
\(697\) | 800.080 | 1.14789 | ||||||||
\(698\) | 330.577i | 0.473606i | ||||||||
\(699\) | 97.5735 | − | 198.481i | 0.139590 | − | 0.283950i | ||||
\(700\) | −51.7645 | −0.0739493 | ||||||||
\(701\) | 372.029i | 0.530711i | 0.964151 | + | 0.265356i | \(0.0854893\pi\) | ||||
−0.964151 | + | 0.265356i | \(0.914511\pi\) | |||||||
\(702\) | −82.2206 | + | 16.6736i | −0.117123 | + | 0.0237515i | ||||
\(703\) | 591.247 | 0.841034 | ||||||||
\(704\) | − | 282.128i | − | 0.400749i | ||||||
\(705\) | −401.808 | − | 197.530i | −0.569941 | − | 0.280184i | ||||
\(706\) | 607.970 | 0.861147 | ||||||||
\(707\) | 11.4529i | 0.0161993i | ||||||||
\(708\) | −16.2102 | + | 32.9742i | −0.0228957 | + | 0.0465737i | ||||
\(709\) | −848.826 | −1.19722 | −0.598608 | − | 0.801042i | \(-0.704279\pi\) | ||||
−0.598608 | + | 0.801042i | \(0.704279\pi\) | |||||||
\(710\) | − | 2298.15i | − | 3.23683i | ||||||
\(711\) | 553.058 | + | 717.063i | 0.777860 | + | 1.00853i | ||||
\(712\) | −411.071 | −0.577347 | ||||||||
\(713\) | − | 109.971i | − | 0.154236i | ||||||
\(714\) | 80.5526 | + | 39.5998i | 0.112819 | + | 0.0554619i | ||||
\(715\) | −137.634 | −0.192496 | ||||||||
\(716\) | − | 104.694i | − | 0.146220i | ||||||
\(717\) | 447.750 | − | 910.799i | 0.624477 | − | 1.27029i | ||||
\(718\) | 1465.30 | 2.04080 | ||||||||
\(719\) | − | 735.217i | − | 1.02256i | −0.859416 | − | 0.511278i | \(-0.829172\pi\) | ||
0.859416 | − | 0.511278i | \(-0.170828\pi\) | |||||||
\(720\) | −1165.48 | + | 898.916i | −1.61872 | + | 1.24849i | ||||
\(721\) | 130.763 | 0.181363 | ||||||||
\(722\) | 524.256i | 0.726116i | ||||||||
\(723\) | 641.332 | + | 315.280i | 0.887043 | + | 0.436072i | ||||
\(724\) | −126.443 | −0.174645 | ||||||||
\(725\) | − | 1549.21i | − | 2.13684i | ||||||
\(726\) | −126.722 | + | 257.773i | −0.174548 | + | 0.355059i | ||||
\(727\) | −760.051 | −1.04546 | −0.522731 | − | 0.852497i | \(-0.675087\pi\) | ||||
−0.522731 | + | 0.852497i | \(0.675087\pi\) | |||||||
\(728\) | − | 5.64592i | − | 0.00775538i | ||||||
\(729\) | −671.409 | + | 283.990i | −0.921001 | + | 0.389561i | ||||
\(730\) | 2075.33 | 2.84291 | ||||||||
\(731\) | − | 413.054i | − | 0.565054i | ||||||
\(732\) | −180.202 | − | 88.5878i | −0.246178 | − | 0.121022i | ||||
\(733\) | 183.791 | 0.250738 | 0.125369 | − | 0.992110i | \(-0.459988\pi\) | ||||
0.125369 | + | 0.992110i | \(0.459988\pi\) | |||||||
\(734\) | 242.270i | 0.330069i | ||||||||
\(735\) | −528.471 | + | 1075.00i | −0.719008 | + | 1.46258i | ||||
\(736\) | 329.088 | 0.447131 | ||||||||
\(737\) | 1074.10i | 1.45740i | ||||||||
\(738\) | 621.144 | + | 805.339i | 0.841659 | + | 1.09124i | ||||
\(739\) | 413.355 | 0.559344 | 0.279672 | − | 0.960096i | \(-0.409774\pi\) | ||||
0.279672 | + | 0.960096i | \(0.409774\pi\) | |||||||
\(740\) | 658.449i | 0.889796i | ||||||||
\(741\) | −41.7506 | − | 20.5247i | −0.0563436 | − | 0.0276986i | ||||
\(742\) | −84.1615 | −0.113425 | ||||||||
\(743\) | − | 39.2804i | − | 0.0528673i | −0.999651 | − | 0.0264337i | \(-0.991585\pi\) | ||
0.999651 | − | 0.0264337i | \(-0.00841508\pi\) | |||||||
\(744\) | 60.7913 | − | 123.660i | 0.0817088 | − | 0.166209i | ||||
\(745\) | 473.094 | 0.635026 | ||||||||
\(746\) | 695.303i | 0.932042i | ||||||||
\(747\) | −434.385 | + | 335.034i | −0.581506 | + | 0.448506i | ||||
\(748\) | −339.316 | −0.453632 | ||||||||
\(749\) | 144.341i | 0.192711i | ||||||||
\(750\) | 943.843 | + | 463.994i | 1.25846 | + | 0.618659i | ||||
\(751\) | 471.380 | 0.627670 | 0.313835 | − | 0.949478i | \(-0.398386\pi\) | ||||
0.313835 | + | 0.949478i | \(0.398386\pi\) | |||||||
\(752\) | 359.058i | 0.477471i | ||||||||
\(753\) | −200.968 | + | 408.802i | −0.266890 | + | 0.542898i | ||||
\(754\) | −112.006 | −0.148549 | ||||||||
\(755\) | − | 374.262i | − | 0.495711i | ||||||
\(756\) | 6.46333 | + | 31.8719i | 0.00854938 | + | 0.0421586i | ||||
\(757\) | −1070.90 | −1.41466 | −0.707331 | − | 0.706883i | \(-0.750101\pi\) | ||||
−0.707331 | + | 0.706883i | \(0.750101\pi\) | |||||||
\(758\) | 2.23916i | 0.00295404i | ||||||||
\(759\) | 466.043 | + | 229.107i | 0.614022 | + | 0.301854i | ||||
\(760\) | −553.761 | −0.728633 | ||||||||
\(761\) | 144.426i | 0.189784i | 0.995488 | + | 0.0948922i | \(0.0302506\pi\) | ||||
−0.995488 | + | 0.0948922i | \(0.969749\pi\) | |||||||
\(762\) | 462.590 | − | 940.986i | 0.607074 | − | 1.23489i | ||||
\(763\) | −9.32989 | −0.0122279 | ||||||||
\(764\) | 372.983i | 0.488197i | ||||||||
\(765\) | −758.908 | − | 983.955i | −0.992037 | − | 1.28622i | ||||
\(766\) | −321.784 | −0.420084 | ||||||||
\(767\) | 10.0905i | 0.0131558i | ||||||||
\(768\) | 710.660 | + | 349.362i | 0.925339 | + | 0.454898i | ||||
\(769\) | −362.767 | −0.471738 | −0.235869 | − | 0.971785i | \(-0.575794\pi\) | ||||
−0.235869 | + | 0.971785i | \(0.575794\pi\) | |||||||
\(770\) | 187.192i | 0.243106i | ||||||||
\(771\) | −489.862 | + | 996.461i | −0.635359 | + | 1.29243i | ||||
\(772\) | 103.447 | 0.133998 | ||||||||
\(773\) | − | 221.150i | − | 0.286094i | −0.989716 | − | 0.143047i | \(-0.954310\pi\) | ||
0.989716 | − | 0.143047i | \(-0.0456899\pi\) | |||||||
\(774\) | 415.769 | − | 320.676i | 0.537169 | − | 0.414310i | ||||
\(775\) | −346.948 | −0.447675 | ||||||||
\(776\) | 978.052i | 1.26038i | ||||||||
\(777\) | −101.858 | − | 50.0733i | −0.131091 | − | 0.0644444i | ||||
\(778\) | −361.075 | −0.464106 | ||||||||
\(779\) | 563.997i | 0.724001i | ||||||||
\(780\) | 22.8575 | − | 46.4961i | 0.0293045 | − | 0.0596103i | ||||
\(781\) | −1497.53 | −1.91745 | ||||||||
\(782\) | 539.567i | 0.689983i | ||||||||
\(783\) | −953.860 | + | 193.434i | −1.21821 | + | 0.247042i | ||||
\(784\) | 960.626 | 1.22529 | ||||||||
\(785\) | 617.823i | 0.787035i | ||||||||
\(786\) | −302.870 | − | 148.891i | −0.385331 | − | 0.189429i | ||||
\(787\) | −96.9762 | −0.123223 | −0.0616113 | − | 0.998100i | \(-0.519624\pi\) | ||||
−0.0616113 | + | 0.998100i | \(0.519624\pi\) | |||||||
\(788\) | − | 314.467i | − | 0.399070i | ||||||
\(789\) | −371.604 | + | 755.906i | −0.470981 | + | 0.958055i | ||||
\(790\) | −1962.19 | −2.48378 | ||||||||
\(791\) | 106.384i | 0.134492i | ||||||||
\(792\) | 397.406 | + | 515.253i | 0.501776 | + | 0.650572i | ||||
\(793\) | −55.1441 | −0.0695386 | ||||||||
\(794\) | − | 829.838i | − | 1.04514i | ||||||
\(795\) | 1045.60 | + | 514.019i | 1.31522 | + | 0.646565i | ||||
\(796\) | 383.488 | 0.481769 | ||||||||
\(797\) | 534.006i | 0.670020i | 0.942215 | + | 0.335010i | \(0.108740\pi\) | ||||
−0.942215 | + | 0.335010i | \(0.891260\pi\) | |||||||
\(798\) | −27.9149 | + | 56.7835i | −0.0349810 | + | 0.0711573i | ||||
\(799\) | −303.134 | −0.379392 | ||||||||
\(800\) | − | 1038.25i | − | 1.29781i | ||||||
\(801\) | 514.888 | − | 397.125i | 0.642807 | − | 0.495786i | ||||
\(802\) | 1236.97 | 1.54235 | ||||||||
\(803\) | − | 1352.33i | − | 1.68410i | ||||||
\(804\) | −362.856 | − | 178.380i | −0.451313 | − | 0.221866i | ||||
\(805\) | 84.8389 | 0.105390 | ||||||||
\(806\) | 25.0840i | 0.0311215i | ||||||||
\(807\) | 344.044 | − | 699.843i | 0.426325 | − | 0.867216i | ||||
\(808\) | −86.2647 | −0.106763 | ||||||||
\(809\) | 71.9476i | 0.0889339i | 0.999011 | + | 0.0444670i | \(0.0141589\pi\) | ||||
−0.999011 | + | 0.0444670i | \(0.985841\pi\) | |||||||
\(810\) | 401.242 | − | 1527.79i | 0.495360 | − | 1.88616i | ||||
\(811\) | 975.090 | 1.20233 | 0.601165 | − | 0.799125i | \(-0.294703\pi\) | ||||
0.601165 | + | 0.799125i | \(0.294703\pi\) | |||||||
\(812\) | 43.4178i | 0.0534702i | ||||||||
\(813\) | 382.606 | + | 188.089i | 0.470610 | + | 0.231352i | ||||
\(814\) | 1505.40 | 1.84938 | ||||||||
\(815\) | 2582.80i | 3.16908i | ||||||||
\(816\) | −439.634 | + | 894.289i | −0.538767 | + | 1.09594i | ||||
\(817\) | 291.172 | 0.356392 | ||||||||
\(818\) | − | 1511.48i | − | 1.84777i | ||||||
\(819\) | 5.45437 | + | 7.07181i | 0.00665979 | + | 0.00863468i | ||||
\(820\) | −628.102 | −0.765978 | ||||||||
\(821\) | 110.647i | 0.134771i | 0.997727 | + | 0.0673857i | \(0.0214658\pi\) | ||||
−0.997727 | + | 0.0673857i | \(0.978534\pi\) | |||||||
\(822\) | 1667.24 | + | 819.616i | 2.02827 | + | 0.997099i | ||||
\(823\) | 1191.20 | 1.44738 | 0.723692 | − | 0.690123i | \(-0.242444\pi\) | ||||
0.723692 | + | 0.690123i | \(0.242444\pi\) | |||||||
\(824\) | 984.924i | 1.19530i | ||||||||
\(825\) | 722.815 | − | 1470.33i | 0.876139 | − | 1.78221i | ||||
\(826\) | 13.7237 | 0.0166147 | ||||||||
\(827\) | 710.454i | 0.859074i | 0.903049 | + | 0.429537i | \(0.141323\pi\) | ||||
−0.903049 | + | 0.429537i | \(0.858677\pi\) | |||||||
\(828\) | −154.795 | + | 119.391i | −0.186951 | + | 0.144192i | ||||
\(829\) | −1189.72 | −1.43512 | −0.717560 | − | 0.696496i | \(-0.754741\pi\) | ||||
−0.717560 | + | 0.696496i | \(0.754741\pi\) | |||||||
\(830\) | − | 1188.66i | − | 1.43212i | ||||||
\(831\) | 664.114 | + | 326.480i | 0.799175 | + | 0.392876i | ||||
\(832\) | 29.1658 | 0.0350550 | ||||||||
\(833\) | 811.006i | 0.973597i | ||||||||
\(834\) | −434.947 | + | 884.754i | −0.521519 | + | 1.06086i | ||||
\(835\) | −1975.20 | −2.36551 | ||||||||
\(836\) | − | 239.193i | − | 0.286116i | ||||||
\(837\) | 43.3200 | + | 213.619i | 0.0517563 | + | 0.255220i | ||||
\(838\) | −895.978 | −1.06919 | ||||||||
\(839\) | − | 67.2543i | − | 0.0801601i | −0.999196 | − | 0.0400800i | \(-0.987239\pi\) | ||
0.999196 | − | 0.0400800i | \(-0.0127613\pi\) | |||||||
\(840\) | 95.3997 | + | 46.8986i | 0.113571 | + | 0.0558317i | ||||
\(841\) | −458.405 | −0.545071 | ||||||||
\(842\) | 1590.30i | 1.88871i | ||||||||
\(843\) | 90.4491 | − | 183.989i | 0.107294 | − | 0.218255i | ||||
\(844\) | 554.598 | 0.657106 | ||||||||
\(845\) | 1379.15i | 1.63213i | ||||||||
\(846\) | −235.339 | − | 305.127i | −0.278179 | − | 0.360670i | ||||
\(847\) | 30.5776 | 0.0361010 | ||||||||
\(848\) | − | 934.356i | − | 1.10183i | ||||||
\(849\) | −282.567 | − | 138.910i | −0.332823 | − | 0.163616i | ||||
\(850\) | 1702.29 | 2.00269 | ||||||||
\(851\) | − | 682.275i | − | 0.801733i | ||||||
\(852\) | 248.701 | − | 505.899i | 0.291902 | − | 0.593778i | ||||
\(853\) | −1198.59 | −1.40514 | −0.702571 | − | 0.711614i | \(-0.747965\pi\) | ||||
−0.702571 | + | 0.711614i | \(0.747965\pi\) | |||||||
\(854\) | 74.9996i | 0.0878215i | ||||||||
\(855\) | 693.615 | − | 534.973i | 0.811245 | − | 0.625700i | ||||
\(856\) | −1087.19 | −1.27009 | ||||||||
\(857\) | − | 390.845i | − | 0.456061i | −0.973654 | − | 0.228031i | \(-0.926771\pi\) | ||
0.973654 | − | 0.228031i | \(-0.0732287\pi\) | |||||||
\(858\) | −106.303 | − | 52.2586i | −0.123896 | − | 0.0609075i | ||||
\(859\) | 360.795 | 0.420017 | 0.210008 | − | 0.977700i | \(-0.432651\pi\) | ||||
0.210008 | + | 0.977700i | \(0.432651\pi\) | |||||||
\(860\) | 324.268i | 0.377055i | ||||||||
\(861\) | 47.7655 | − | 97.1630i | 0.0554767 | − | 0.112849i | ||||
\(862\) | 361.223 | 0.419053 | ||||||||
\(863\) | − | 381.837i | − | 0.442453i | −0.975222 | − | 0.221227i | \(-0.928994\pi\) | ||
0.975222 | − | 0.221227i | \(-0.0710060\pi\) | |||||||
\(864\) | −639.258 | + | 129.636i | −0.739882 | + | 0.150041i | ||||
\(865\) | −2288.61 | −2.64579 | ||||||||
\(866\) | 172.329i | 0.198995i | ||||||||
\(867\) | 23.0623 | + | 11.3375i | 0.0266002 | + | 0.0130767i | ||||
\(868\) | 9.72352 | 0.0112022 | ||||||||
\(869\) | 1278.61i | 1.47136i | ||||||||
\(870\) | 930.392 | − | 1892.57i | 1.06942 | − | 2.17537i | ||||
\(871\) | −111.038 | −0.127484 | ||||||||
\(872\) | − | 70.2740i | − | 0.0805894i | ||||||
\(873\) | −944.869 | − | 1225.06i | −1.08232 | − | 1.40328i | ||||
\(874\) | −380.354 | −0.435188 | ||||||||
\(875\) | − | 111.961i | − | 0.127955i | ||||||
\(876\) | 456.848 | + | 224.587i | 0.521516 | + | 0.256378i | ||||
\(877\) | −278.561 | −0.317630 | −0.158815 | − | 0.987308i | \(-0.550767\pi\) | ||||
−0.158815 | + | 0.987308i | \(0.550767\pi\) | |||||||
\(878\) | − | 1248.84i | − | 1.42236i | ||||||
\(879\) | 12.8468 | − | 26.1325i | 0.0146152 | − | 0.0297298i | ||||
\(880\) | −2078.19 | −2.36158 | ||||||||
\(881\) | 244.844i | 0.277916i | 0.990298 | + | 0.138958i | \(0.0443754\pi\) | ||||
−0.990298 | + | 0.138958i | \(0.955625\pi\) | |||||||
\(882\) | −816.337 | + | 629.627i | −0.925552 | + | 0.713863i | ||||
\(883\) | 1198.62 | 1.35744 | 0.678722 | − | 0.734395i | \(-0.262534\pi\) | ||||
0.678722 | + | 0.734395i | \(0.262534\pi\) | |||||||
\(884\) | − | 35.0778i | − | 0.0396808i | ||||||
\(885\) | −170.500 | − | 83.8182i | −0.192656 | − | 0.0947098i | ||||
\(886\) | −1053.54 | −1.18910 | ||||||||
\(887\) | 170.662i | 0.192403i | 0.995362 | + | 0.0962016i | \(0.0306693\pi\) | ||||
−0.995362 | + | 0.0962016i | \(0.969331\pi\) | |||||||
\(888\) | 377.159 | − | 767.205i | 0.424729 | − | 0.863969i | ||||
\(889\) | −111.622 | −0.125559 | ||||||||
\(890\) | 1408.95i | 1.58309i | ||||||||
\(891\) | −995.544 | − | 261.458i | −1.11733 | − | 0.293444i | ||||
\(892\) | −474.389 | −0.531826 | ||||||||
\(893\) | − | 213.687i | − | 0.239291i | ||||||
\(894\) | 365.398 | + | 179.630i | 0.408722 | + | 0.200928i | ||||
\(895\) | 541.341 | 0.604851 | ||||||||
\(896\) | − | 112.662i | − | 0.125738i | ||||||
\(897\) | −23.6846 | + | 48.1785i | −0.0264043 | + | 0.0537107i | ||||
\(898\) | 960.166 | 1.06923 | ||||||||
\(899\) | 291.005i | 0.323698i | ||||||||
\(900\) | 376.669 | + | 488.367i | 0.418521 | + | 0.542630i | ||||
\(901\) | 788.828 | 0.875503 | ||||||||
\(902\) | 1436.01i | 1.59203i | ||||||||
\(903\) | −50.1620 | − | 24.6597i | −0.0555504 | − | 0.0273086i | ||||
\(904\) | −801.295 | −0.886388 | ||||||||
\(905\) | − | 653.801i | − | 0.722432i | ||||||
\(906\) | 142.104 | − | 289.064i | 0.156848 | − | 0.319055i | ||||
\(907\) | −1043.92 | −1.15096 | −0.575480 | − | 0.817816i | \(-0.695185\pi\) | ||||
−0.575480 | + | 0.817816i | \(0.695185\pi\) | |||||||
\(908\) | 86.4905i | 0.0952538i | ||||||||
\(909\) | 108.051 | − | 83.3380i | 0.118868 | − | 0.0916810i | ||||
\(910\) | −19.3515 | −0.0212654 | ||||||||
\(911\) | − | 1049.39i | − | 1.15191i | −0.817482 | − | 0.575954i | \(-0.804631\pi\) | ||
0.817482 | − | 0.575954i | \(-0.195369\pi\) | |||||||
\(912\) | −630.407 | − | 309.909i | −0.691236 | − | 0.339813i | ||||
\(913\) | −774.560 | −0.848368 | ||||||||
\(914\) | − | 10.1200i | − | 0.0110722i | ||||||
\(915\) | 458.062 | − | 931.776i | 0.500615 | − | 1.01833i | ||||
\(916\) | 359.531 | 0.392501 | ||||||||
\(917\) | 35.9271i | 0.0391789i | ||||||||
\(918\) | −212.548 | − | 1048.12i | −0.231534 | − | 1.14174i | ||||
\(919\) | 1163.95 | 1.26653 | 0.633267 | − | 0.773933i | \(-0.281713\pi\) | ||||
0.633267 | + | 0.773933i | \(0.281713\pi\) | |||||||
\(920\) | 639.018i | 0.694584i | ||||||||
\(921\) | 716.898 | + | 352.428i | 0.778390 | + | 0.382658i | ||||
\(922\) | 205.785 | 0.223194 | ||||||||
\(923\) | − | 154.811i | − | 0.167726i | ||||||
\(924\) | −20.2575 | + | 41.2071i | −0.0219237 | + | 0.0445965i | ||||
\(925\) | −2152.52 | −2.32705 | ||||||||
\(926\) | 342.216i | 0.369563i | ||||||||
\(927\) | −951.508 | − | 1233.67i | −1.02644 | − | 1.33082i | ||||
\(928\) | −870.835 | −0.938400 | ||||||||
\(929\) | − | 245.337i | − | 0.264088i | −0.991244 | − | 0.132044i | \(-0.957846\pi\) | ||
0.991244 | − | 0.132044i | \(-0.0421540\pi\) | |||||||
\(930\) | −423.846 | − | 208.363i | −0.455749 | − | 0.224047i | ||||
\(931\) | −571.699 | −0.614070 | ||||||||
\(932\) | 117.552i | 0.126129i | ||||||||
\(933\) | 246.725 | − | 501.881i | 0.264443 | − | 0.537922i | ||||
\(934\) | −761.807 | −0.815639 | ||||||||
\(935\) | − | 1754.51i | − | 1.87648i | ||||||
\(936\) | −53.2658 | + | 41.0830i | −0.0569079 | + | 0.0438921i | ||||
\(937\) | 514.852 | 0.549468 | 0.274734 | − | 0.961520i | \(-0.411410\pi\) | ||||
0.274734 | + | 0.961520i | \(0.411410\pi\) | |||||||
\(938\) | 151.019i | 0.161001i | ||||||||
\(939\) | 1520.00 | + | 747.235i | 1.61875 | + | 0.795778i | ||||
\(940\) | 237.975 | 0.253165 | ||||||||
\(941\) | − | 169.841i | − | 0.180490i | −0.995920 | − | 0.0902449i | \(-0.971235\pi\) | ||
0.995920 | − | 0.0902449i | \(-0.0287650\pi\) | |||||||
\(942\) | −234.582 | + | 477.180i | −0.249026 | + | 0.506560i | ||||
\(943\) | 650.829 | 0.690169 | ||||||||
\(944\) | 152.360i | 0.161398i | ||||||||
\(945\) | −164.801 | + | 33.4200i | −0.174392 | + | 0.0353651i | ||||
\(946\) | 741.366 | 0.783685 | ||||||||
\(947\) | − | 493.994i | − | 0.521641i | −0.965387 | − | 0.260821i | \(-0.916007\pi\) | ||
0.965387 | − | 0.260821i | \(-0.0839931\pi\) | |||||||
\(948\) | −431.943 | − | 212.344i | −0.455636 | − | 0.223991i | ||||
\(949\) | 139.801 | 0.147314 | ||||||||
\(950\) | 1199.99i | 1.26314i | ||||||||
\(951\) | −87.9940 | + | 178.995i | −0.0925278 | + | 0.188217i | ||||
\(952\) | 71.9719 | 0.0756007 | ||||||||
\(953\) | − | 11.5941i | − | 0.0121659i | −0.999981 | − | 0.00608293i | \(-0.998064\pi\) | ||
0.999981 | − | 0.00608293i | \(-0.00193627\pi\) | |||||||
\(954\) | 612.409 | + | 794.013i | 0.641938 | + | 0.832298i | ||||
\(955\) | −1928.59 | −2.01946 | ||||||||
\(956\) | 539.430i | 0.564257i | ||||||||
\(957\) | −1233.24 | − | 606.265i | −1.28866 | − | 0.633505i | ||||
\(958\) | −411.975 | −0.430037 | ||||||||
\(959\) | − | 197.771i | − | 0.206226i | ||||||
\(960\) | −242.270 | + | 492.817i | −0.252364 | + | 0.513351i | ||||
\(961\) | −895.829 | −0.932184 | ||||||||
\(962\) | 155.625i | 0.161772i | ||||||||
\(963\) | 1361.77 | − | 1050.31i | 1.41409 | − | 1.09066i | ||||
\(964\) | −379.836 | −0.394021 | ||||||||
\(965\) | 534.893i | 0.554294i | ||||||||
\(966\) | 65.5259 | + | 32.2126i | 0.0678322 | + | 0.0333464i | ||||
\(967\) | 1884.39 | 1.94870 | 0.974348 | − | 0.225048i | \(-0.0722537\pi\) | ||||
0.974348 | + | 0.225048i | \(0.0722537\pi\) | |||||||
\(968\) | 230.314i | 0.237928i | ||||||||
\(969\) | 261.640 | − | 532.220i | 0.270010 | − | 0.549247i | ||||
\(970\) | 3352.29 | 3.45597 | ||||||||
\(971\) | 637.817i | 0.656867i | 0.944527 | + | 0.328433i | \(0.106521\pi\) | ||||
−0.944527 | + | 0.328433i | \(0.893479\pi\) | |||||||
\(972\) | 253.661 | − | 292.896i | 0.260968 | − | 0.301334i | ||||
\(973\) | 104.951 | 0.107864 | ||||||||
\(974\) | − | 740.131i | − | 0.759888i | ||||||
\(975\) | 151.999 | + | 74.7230i | 0.155897 | + | 0.0766390i | ||||
\(976\) | −832.640 | −0.853115 | ||||||||
\(977\) | − | 1494.45i | − | 1.52964i | −0.644246 | − | 0.764818i | \(-0.722829\pi\) | ||
0.644246 | − | 0.764818i | \(-0.277171\pi\) | |||||||
\(978\) | −980.668 | + | 1994.84i | −1.00273 | + | 2.03972i | ||||
\(979\) | 918.106 | 0.937800 | ||||||||
\(980\) | − | 636.680i | − | 0.649673i | ||||||
\(981\) | 67.8898 | + | 88.0218i | 0.0692046 | + | 0.0897266i | ||||
\(982\) | −730.191 | −0.743575 | ||||||||
\(983\) | 1058.19i | 1.07649i | 0.842787 | + | 0.538247i | \(0.180913\pi\) | ||||
−0.842787 | + | 0.538247i | \(0.819087\pi\) | |||||||
\(984\) | 731.845 | + | 359.776i | 0.743745 | + | 0.365626i | ||||
\(985\) | 1626.02 | 1.65078 | ||||||||
\(986\) | − | 1427.81i | − | 1.44808i | ||||||
\(987\) | −18.0974 | + | 36.8131i | −0.0183358 | + | 0.0372980i | ||||
\(988\) | 24.7272 | 0.0250276 | ||||||||
\(989\) | − | 336.001i | − | 0.339738i | ||||||
\(990\) | 1766.04 | − | 1362.12i | 1.78388 | − | 1.37588i | ||||
\(991\) | 81.6245 | 0.0823658 | 0.0411829 | − | 0.999152i | \(-0.486887\pi\) | ||||
0.0411829 | + | 0.999152i | \(0.486887\pi\) | |||||||
\(992\) | 195.026i | 0.196598i | ||||||||
\(993\) | −303.783 | − | 149.340i | −0.305925 | − | 0.150393i | ||||
\(994\) | −210.553 | −0.211824 | ||||||||
\(995\) | 1982.91i | 1.99287i | ||||||||
\(996\) | 128.634 | − | 261.664i | 0.129151 | − | 0.262715i | ||||
\(997\) | 1058.73 | 1.06192 | 0.530960 | − | 0.847397i | \(-0.321831\pi\) | ||||
0.530960 | + | 0.847397i | \(0.321831\pi\) | |||||||
\(998\) | − | 523.940i | − | 0.524990i | ||||||
\(999\) | 268.764 | + | 1325.33i | 0.269033 | + | 1.32665i |
(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 | 177.3.b.a.119.9 | ✓ | 38 | |
3.2 | odd | 2 | inner | 177.3.b.a.119.30 | yes | 38 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.b.a.119.9 | ✓ | 38 | 1.1 | even | 1 | trivial | |
177.3.b.a.119.30 | yes | 38 | 3.2 | odd | 2 | inner |