Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,4,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), 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: | \(2.89109359028\) |
Analytic rank: | \(0\) |
Dimension: | \(156\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 2.3 | ||
Character | \(\chi\) | \(=\) | 49.2 |
Dual form | 49.4.g.a.25.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{13}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.74530 | − | 1.15527i | −1.32416 | − | 0.408450i | −0.449542 | − | 0.893259i | \(-0.648413\pi\) |
−0.874620 | + | 0.484809i | \(0.838889\pi\) | |||||||
\(3\) | −3.45495 | + | 8.80308i | −0.664906 | + | 1.69415i | 0.0535362 | + | 0.998566i | \(0.482951\pi\) |
−0.718442 | + | 0.695587i | \(0.755145\pi\) | |||||||
\(4\) | 6.08268 | + | 4.14710i | 0.760335 | + | 0.518387i | ||||
\(5\) | −0.875096 | + | 0.131899i | −0.0782709 | + | 0.0117974i | −0.188061 | − | 0.982157i | \(-0.560220\pi\) |
0.109790 | + | 0.993955i | \(0.464982\pi\) | |||||||
\(6\) | 23.1098 | − | 28.9787i | 1.57242 | − | 1.97175i | ||||
\(7\) | −6.85447 | − | 17.2051i | −0.370106 | − | 0.928989i | ||||
\(8\) | 1.55937 | + | 1.95538i | 0.0689149 | + | 0.0864166i | ||||
\(9\) | −45.7650 | − | 42.4637i | −1.69500 | − | 1.57273i | ||||
\(10\) | 3.42987 | + | 0.516970i | 0.108462 | + | 0.0163480i | ||||
\(11\) | 3.12966 | − | 2.90390i | 0.0857845 | − | 0.0795963i | −0.636115 | − | 0.771594i | \(-0.719460\pi\) |
0.721900 | + | 0.691998i | \(0.243269\pi\) | |||||||
\(12\) | −57.5226 | + | 39.2182i | −1.38378 | + | 0.943444i | ||||
\(13\) | −5.46270 | − | 23.9337i | −0.116545 | − | 0.510616i | −0.999177 | − | 0.0405524i | \(-0.987088\pi\) |
0.882633 | − | 0.470063i | \(-0.155769\pi\) | |||||||
\(14\) | 5.79542 | + | 72.3570i | 0.110635 | + | 1.38130i | ||||
\(15\) | 1.86229 | − | 8.15924i | 0.0320561 | − | 0.140447i | ||||
\(16\) | −25.0981 | − | 63.9489i | −0.392158 | − | 0.999201i | ||||
\(17\) | −2.19811 | − | 29.3317i | −0.0313600 | − | 0.418470i | −0.990686 | − | 0.136169i | \(-0.956521\pi\) |
0.959326 | − | 0.282302i | \(-0.0910979\pi\) | |||||||
\(18\) | 122.346 | + | 211.910i | 1.60207 | + | 2.77487i | ||||
\(19\) | 39.3280 | − | 68.1181i | 0.474867 | − | 0.822493i | −0.524719 | − | 0.851276i | \(-0.675830\pi\) |
0.999586 | + | 0.0287822i | \(0.00916293\pi\) | |||||||
\(20\) | −5.86993 | − | 2.82681i | −0.0656278 | − | 0.0316047i | ||||
\(21\) | 175.140 | − | 0.897492i | 1.81994 | − | 0.00932613i | ||||
\(22\) | −15.0763 | + | 7.26037i | −0.146104 | + | 0.0703598i | ||||
\(23\) | −15.0914 | + | 201.380i | −0.136816 | + | 1.82568i | 0.333009 | + | 0.942924i | \(0.391936\pi\) |
−0.469825 | + | 0.882760i | \(0.655683\pi\) | |||||||
\(24\) | −22.6009 | + | 6.97146i | −0.192225 | + | 0.0592935i | ||||
\(25\) | −118.698 | + | 36.6135i | −0.949586 | + | 0.292908i | ||||
\(26\) | −7.19042 | + | 95.9495i | −0.0542369 | + | 0.723741i | ||||
\(27\) | 301.880 | − | 145.378i | 2.15174 | − | 1.03622i | ||||
\(28\) | 29.6579 | − | 133.079i | 0.200172 | − | 0.898201i | ||||
\(29\) | −221.653 | − | 106.743i | −1.41931 | − | 0.683504i | −0.442334 | − | 0.896850i | \(-0.645849\pi\) |
−0.976977 | + | 0.213347i | \(0.931564\pi\) | |||||||
\(30\) | −16.4010 | + | 28.4073i | −0.0998131 | + | 0.172881i | ||||
\(31\) | −125.508 | − | 217.386i | −0.727158 | − | 1.25947i | −0.958080 | − | 0.286502i | \(-0.907507\pi\) |
0.230921 | − | 0.972972i | \(-0.425826\pi\) | |||||||
\(32\) | 18.6263 | + | 248.550i | 0.102897 | + | 1.37306i | ||||
\(33\) | 14.7504 | + | 37.5835i | 0.0778098 | + | 0.198256i | ||||
\(34\) | −25.6535 | + | 112.395i | −0.129398 | + | 0.566931i | ||||
\(35\) | 8.26766 | + | 14.1520i | 0.0399283 | + | 0.0683466i | ||||
\(36\) | −102.273 | − | 448.085i | −0.473484 | − | 2.07447i | ||||
\(37\) | −178.988 | + | 122.032i | −0.795283 | + | 0.542215i | −0.891433 | − | 0.453152i | \(-0.850299\pi\) |
0.0961501 | + | 0.995367i | \(0.469347\pi\) | |||||||
\(38\) | −225.990 | + | 209.688i | −0.964748 | + | 0.895155i | ||||
\(39\) | 229.563 | + | 34.6011i | 0.942552 | + | 0.142067i | ||||
\(40\) | −1.62251 | − | 1.50547i | −0.00641353 | − | 0.00595089i | ||||
\(41\) | −28.0156 | − | 35.1305i | −0.106715 | − | 0.133816i | 0.725606 | − | 0.688110i | \(-0.241560\pi\) |
−0.832321 | + | 0.554294i | \(0.812988\pi\) | |||||||
\(42\) | −656.987 | − | 198.973i | −2.41370 | − | 0.731003i | ||||
\(43\) | 164.681 | − | 206.504i | 0.584038 | − | 0.732360i | −0.398758 | − | 0.917056i | \(-0.630559\pi\) |
0.982796 | + | 0.184696i | \(0.0591300\pi\) | |||||||
\(44\) | 31.0795 | − | 4.68448i | 0.106487 | − | 0.0160503i | ||||
\(45\) | 45.6497 | + | 31.1235i | 0.151224 | + | 0.103102i | ||||
\(46\) | 289.171 | − | 736.794i | 0.926867 | − | 2.36162i | ||||
\(47\) | 275.681 | + | 85.0363i | 0.855579 | + | 0.263911i | 0.691358 | − | 0.722513i | \(-0.257013\pi\) |
0.164221 | + | 0.986424i | \(0.447489\pi\) | |||||||
\(48\) | 649.660 | 1.95355 | ||||||||
\(49\) | −249.033 | + | 235.864i | −0.726043 | + | 0.687650i | ||||
\(50\) | 486.858 | 1.37704 | ||||||||
\(51\) | 265.804 | + | 81.9897i | 0.729804 | + | 0.225115i | ||||
\(52\) | 66.0274 | − | 168.235i | 0.176084 | − | 0.448654i | ||||
\(53\) | −534.333 | − | 364.302i | −1.38484 | − | 0.944166i | −0.999774 | − | 0.0212755i | \(-0.993227\pi\) |
−0.385063 | − | 0.922890i | \(-0.625820\pi\) | |||||||
\(54\) | −1298.58 | + | 195.730i | −3.27249 | + | 0.493249i | ||||
\(55\) | −2.35573 | + | 2.95399i | −0.00577540 | + | 0.00724212i | ||||
\(56\) | 22.9540 | − | 40.2322i | 0.0547742 | − | 0.0960046i | ||||
\(57\) | 463.773 | + | 581.552i | 1.07769 | + | 1.35138i | ||||
\(58\) | 706.841 | + | 655.852i | 1.60022 | + | 1.48479i | ||||
\(59\) | −407.389 | − | 61.4040i | −0.898940 | − | 0.135493i | −0.316715 | − | 0.948521i | \(-0.602580\pi\) |
−0.582226 | + | 0.813027i | \(0.697818\pi\) | |||||||
\(60\) | 45.1649 | − | 41.9069i | 0.0971794 | − | 0.0901693i | ||||
\(61\) | 354.524 | − | 241.710i | 0.744134 | − | 0.507342i | −0.130905 | − | 0.991395i | \(-0.541788\pi\) |
0.875039 | + | 0.484053i | \(0.160836\pi\) | |||||||
\(62\) | 218.925 | + | 959.171i | 0.448443 | + | 1.96476i | ||||
\(63\) | −416.899 | + | 1078.46i | −0.833720 | + | 2.15672i | ||||
\(64\) | 95.0885 | − | 416.610i | 0.185720 | − | 0.813692i | ||||
\(65\) | 7.93723 | + | 20.2237i | 0.0151460 | + | 0.0385914i | ||||
\(66\) | −11.8256 | − | 157.802i | −0.0220551 | − | 0.294304i | ||||
\(67\) | 219.313 | + | 379.861i | 0.399900 | + | 0.692647i | 0.993713 | − | 0.111956i | \(-0.0357115\pi\) |
−0.593813 | + | 0.804603i | \(0.702378\pi\) | |||||||
\(68\) | 108.271 | − | 187.531i | 0.193086 | − | 0.334434i | ||||
\(69\) | −1720.63 | − | 828.610i | −3.00202 | − | 1.44569i | ||||
\(70\) | −14.6154 | − | 62.5549i | −0.0249554 | − | 0.106811i | ||||
\(71\) | 249.424 | − | 120.116i | 0.416918 | − | 0.200777i | −0.213652 | − | 0.976910i | \(-0.568536\pi\) |
0.630569 | + | 0.776133i | \(0.282821\pi\) | |||||||
\(72\) | 11.6685 | − | 155.705i | 0.0190992 | − | 0.254861i | ||||
\(73\) | −168.226 | + | 51.8908i | −0.269717 | + | 0.0831967i | −0.426664 | − | 0.904410i | \(-0.640311\pi\) |
0.156946 | + | 0.987607i | \(0.449835\pi\) | |||||||
\(74\) | 811.344 | − | 250.266i | 1.27455 | − | 0.393147i | ||||
\(75\) | 87.7848 | − | 1171.41i | 0.135154 | − | 1.80350i | ||||
\(76\) | 521.712 | − | 251.243i | 0.787428 | − | 0.379205i | ||||
\(77\) | −71.4142 | − | 33.9415i | −0.105694 | − | 0.0502337i | ||||
\(78\) | −819.808 | − | 394.799i | −1.19006 | − | 0.573105i | ||||
\(79\) | −94.0732 | + | 162.940i | −0.133975 | + | 0.232052i | −0.925206 | − | 0.379466i | \(-0.876108\pi\) |
0.791230 | + | 0.611518i | \(0.209441\pi\) | |||||||
\(80\) | 30.3981 | + | 52.6510i | 0.0424826 | + | 0.0735820i | ||||
\(81\) | 110.823 | + | 1478.83i | 0.152021 | + | 2.02857i | ||||
\(82\) | 64.3416 | + | 163.940i | 0.0866504 | + | 0.220782i | ||||
\(83\) | −50.6148 | + | 221.758i | −0.0669362 | + | 0.293266i | −0.997306 | − | 0.0733564i | \(-0.976629\pi\) |
0.930370 | + | 0.366623i | \(0.119486\pi\) | |||||||
\(84\) | 1069.04 | + | 720.863i | 1.38859 | + | 0.936341i | ||||
\(85\) | 5.79240 | + | 25.3782i | 0.00739146 | + | 0.0323841i | ||||
\(86\) | −855.347 | + | 583.166i | −1.07249 | + | 0.731213i | ||||
\(87\) | 1705.47 | − | 1582.44i | 2.10167 | − | 1.95006i | ||||
\(88\) | 10.5585 | + | 1.59144i | 0.0127903 | + | 0.00192782i | ||||
\(89\) | 795.067 | + | 737.715i | 0.946932 | + | 0.878625i | 0.992734 | − | 0.120326i | \(-0.0383940\pi\) |
−0.0458024 | + | 0.998951i | \(0.514584\pi\) | |||||||
\(90\) | −135.016 | − | 169.304i | −0.158132 | − | 0.198292i | ||||
\(91\) | −374.338 | + | 258.039i | −0.431223 | + | 0.297251i | ||||
\(92\) | −926.941 | + | 1162.35i | −1.05044 | + | 1.31721i | ||||
\(93\) | 2347.29 | − | 353.797i | 2.61723 | − | 0.394485i | ||||
\(94\) | −934.266 | − | 636.972i | −1.02513 | − | 0.698922i | ||||
\(95\) | −25.4310 | + | 64.7972i | −0.0274649 | + | 0.0699795i | ||||
\(96\) | −2252.36 | − | 694.761i | −2.39459 | − | 0.738633i | ||||
\(97\) | −478.924 | −0.501313 | −0.250656 | − | 0.968076i | \(-0.580646\pi\) | ||||
−0.250656 | + | 0.968076i | \(0.580646\pi\) | |||||||
\(98\) | 1205.19 | − | 595.680i | 1.24227 | − | 0.614008i | ||||
\(99\) | −266.540 | −0.270588 | ||||||||
\(100\) | −873.843 | − | 269.545i | −0.873843 | − | 0.269545i | ||||
\(101\) | −211.636 | + | 539.239i | −0.208501 | + | 0.531251i | −0.996421 | − | 0.0845259i | \(-0.973062\pi\) |
0.787921 | + | 0.615777i | \(0.211158\pi\) | |||||||
\(102\) | −900.794 | − | 614.151i | −0.874430 | − | 0.596177i | ||||
\(103\) | −895.616 | + | 134.992i | −0.856773 | + | 0.129138i | −0.562716 | − | 0.826650i | \(-0.690244\pi\) |
−0.294057 | + | 0.955788i | \(0.595006\pi\) | |||||||
\(104\) | 38.2811 | − | 48.0030i | 0.0360940 | − | 0.0452604i | ||||
\(105\) | −153.146 | + | 23.8862i | −0.142338 | + | 0.0222006i | ||||
\(106\) | 1580.37 | + | 1981.72i | 1.44810 | + | 1.81586i | ||||
\(107\) | −893.418 | − | 828.971i | −0.807196 | − | 0.748969i | 0.164201 | − | 0.986427i | \(-0.447495\pi\) |
−0.971398 | + | 0.237458i | \(0.923686\pi\) | |||||||
\(108\) | 2439.14 | + | 367.641i | 2.17320 | + | 0.327558i | ||||
\(109\) | 326.426 | − | 302.879i | 0.286843 | − | 0.266152i | −0.523606 | − | 0.851961i | \(-0.675414\pi\) |
0.810449 | + | 0.585809i | \(0.199223\pi\) | |||||||
\(110\) | 12.2356 | − | 8.34207i | 0.0106056 | − | 0.00723078i | ||||
\(111\) | −455.862 | − | 1997.26i | −0.389806 | − | 1.70785i | ||||
\(112\) | −928.215 | + | 870.151i | −0.783107 | + | 0.734121i | ||||
\(113\) | 58.7636 | − | 257.460i | 0.0489205 | − | 0.214335i | −0.944560 | − | 0.328340i | \(-0.893511\pi\) |
0.993480 | + | 0.114005i | \(0.0363680\pi\) | |||||||
\(114\) | −1065.12 | − | 2713.87i | −0.875063 | − | 2.22962i | ||||
\(115\) | −13.3556 | − | 178.218i | −0.0108297 | − | 0.144512i | ||||
\(116\) | −905.574 | − | 1568.50i | −0.724831 | − | 1.25544i | ||||
\(117\) | −766.312 | + | 1327.29i | −0.605518 | + | 1.04879i | ||||
\(118\) | 1454.85 | + | 700.620i | 1.13500 | + | 0.546587i | ||||
\(119\) | −489.589 | + | 238.872i | −0.377148 | + | 0.184012i | ||||
\(120\) | 18.8584 | − | 9.08175i | 0.0143461 | − | 0.00690872i | ||||
\(121\) | −98.1036 | + | 1309.10i | −0.0737067 | + | 0.983548i | ||||
\(122\) | −1607.04 | + | 495.706i | −1.19258 | + | 0.367861i | ||||
\(123\) | 406.049 | − | 125.249i | 0.297660 | − | 0.0918160i | ||||
\(124\) | 138.098 | − | 1842.78i | 0.100012 | − | 1.33457i | ||||
\(125\) | 198.710 | − | 95.6939i | 0.142186 | − | 0.0684730i | ||||
\(126\) | 2807.32 | − | 3557.52i | 1.98489 | − | 2.51531i | ||||
\(127\) | −329.121 | − | 158.496i | −0.229958 | − | 0.110742i | 0.315357 | − | 0.948973i | \(-0.397876\pi\) |
−0.545315 | + | 0.838231i | \(0.683590\pi\) | |||||||
\(128\) | 159.557 | − | 276.360i | 0.110179 | − | 0.190836i | ||||
\(129\) | 1248.90 | + | 2163.16i | 0.852400 | + | 1.47640i | ||||
\(130\) | −6.36338 | − | 84.9134i | −0.00429312 | − | 0.0572877i | ||||
\(131\) | 288.057 | + | 733.957i | 0.192119 | + | 0.489512i | 0.994180 | − | 0.107730i | \(-0.0343582\pi\) |
−0.802061 | + | 0.597242i | \(0.796263\pi\) | |||||||
\(132\) | −66.1404 | + | 289.780i | −0.0436120 | + | 0.191077i | ||||
\(133\) | −1441.55 | − | 209.730i | −0.939839 | − | 0.136736i | ||||
\(134\) | −382.549 | − | 1676.06i | −0.246621 | − | 1.08052i | ||||
\(135\) | −244.999 | + | 167.037i | −0.156194 | + | 0.106491i | ||||
\(136\) | 53.9272 | − | 50.0371i | 0.0340016 | − | 0.0315489i | ||||
\(137\) | −357.674 | − | 53.9107i | −0.223052 | − | 0.0336197i | 0.0365652 | − | 0.999331i | \(-0.488358\pi\) |
−0.259617 | + | 0.965712i | \(0.583596\pi\) | |||||||
\(138\) | 5486.99 | + | 5091.18i | 3.38466 | + | 3.14051i | ||||
\(139\) | 1479.97 | + | 1855.83i | 0.903092 | + | 1.13244i | 0.990670 | + | 0.136284i | \(0.0435159\pi\) |
−0.0875778 | + | 0.996158i | \(0.527913\pi\) | |||||||
\(140\) | −8.40036 | + | 120.369i | −0.00507115 | + | 0.0726646i | ||||
\(141\) | −1701.05 | + | 2133.04i | −1.01598 | + | 1.27400i | ||||
\(142\) | −1072.93 | + | 161.719i | −0.634074 | + | 0.0955713i | ||||
\(143\) | −86.5975 | − | 59.0411i | −0.0506409 | − | 0.0345264i | ||||
\(144\) | −1566.89 | + | 3992.38i | −0.906768 | + | 2.31041i | ||||
\(145\) | 208.047 | + | 64.1741i | 0.119154 | + | 0.0367543i | ||||
\(146\) | 690.004 | 0.391131 | ||||||||
\(147\) | −1215.93 | − | 3007.15i | −0.682234 | − | 1.68725i | ||||
\(148\) | −1594.81 | −0.885759 | ||||||||
\(149\) | −884.224 | − | 272.747i | −0.486164 | − | 0.149962i | 0.0419765 | − | 0.999119i | \(-0.486635\pi\) |
−0.528141 | + | 0.849157i | \(0.677111\pi\) | |||||||
\(150\) | −1682.07 | + | 4285.85i | −0.915604 | + | 2.33292i | ||||
\(151\) | −556.169 | − | 379.189i | −0.299738 | − | 0.204358i | 0.404107 | − | 0.914712i | \(-0.367582\pi\) |
−0.703844 | + | 0.710354i | \(0.748535\pi\) | |||||||
\(152\) | 194.524 | − | 29.3198i | 0.103802 | − | 0.0156457i | ||||
\(153\) | −1144.94 | + | 1435.71i | −0.604986 | + | 0.758628i | ||||
\(154\) | 228.256 | + | 209.624i | 0.119437 | + | 0.109688i | ||||
\(155\) | 138.505 | + | 173.679i | 0.0717739 | + | 0.0900017i | ||||
\(156\) | 1252.86 | + | 1162.49i | 0.643009 | + | 0.596626i | ||||
\(157\) | 300.058 | + | 45.2265i | 0.152530 | + | 0.0229902i | 0.224863 | − | 0.974390i | \(-0.427806\pi\) |
−0.0723332 | + | 0.997381i | \(0.523044\pi\) | |||||||
\(158\) | 540.571 | − | 501.577i | 0.272187 | − | 0.252553i | ||||
\(159\) | 5053.08 | − | 3445.13i | 2.52035 | − | 1.71834i | ||||
\(160\) | −49.0834 | − | 215.049i | −0.0242524 | − | 0.106257i | ||||
\(161\) | 3568.22 | − | 1120.71i | 1.74668 | − | 0.548596i | ||||
\(162\) | 1293.38 | − | 5666.68i | 0.627270 | − | 2.74825i | ||||
\(163\) | 331.975 | + | 845.859i | 0.159523 | + | 0.406459i | 0.988180 | − | 0.153299i | \(-0.0489896\pi\) |
−0.828657 | + | 0.559757i | \(0.810894\pi\) | |||||||
\(164\) | −24.7204 | − | 329.871i | −0.0117704 | − | 0.157065i | ||||
\(165\) | −17.8653 | − | 30.9436i | −0.00842916 | − | 0.0145997i | ||||
\(166\) | 445.758 | − | 772.076i | 0.208419 | − | 0.360992i | ||||
\(167\) | −155.343 | − | 74.8094i | −0.0719810 | − | 0.0346642i | 0.397547 | − | 0.917582i | \(-0.369862\pi\) |
−0.469528 | + | 0.882918i | \(0.655576\pi\) | |||||||
\(168\) | 274.862 | + | 341.066i | 0.126227 | + | 0.156630i | ||||
\(169\) | 1436.45 | − | 691.758i | 0.653823 | − | 0.314865i | ||||
\(170\) | 7.62439 | − | 101.740i | 0.00343979 | − | 0.0459008i | ||||
\(171\) | −4692.40 | + | 1447.41i | −2.09846 | + | 0.647289i | ||||
\(172\) | 1858.09 | − | 573.146i | 0.823711 | − | 0.254081i | ||||
\(173\) | 210.545 | − | 2809.53i | 0.0925288 | − | 1.23471i | −0.736863 | − | 0.676043i | \(-0.763694\pi\) |
0.829391 | − | 0.558668i | \(-0.188687\pi\) | |||||||
\(174\) | −8215.62 | + | 3956.43i | −3.57945 | + | 1.72377i | ||||
\(175\) | 1443.55 | + | 1791.25i | 0.623556 | + | 0.773748i | ||||
\(176\) | −264.250 | − | 127.256i | −0.113174 | − | 0.0545016i | ||||
\(177\) | 1948.05 | − | 3374.12i | 0.827257 | − | 1.43285i | ||||
\(178\) | −2125.50 | − | 3681.48i | −0.895017 | − | 1.55022i | ||||
\(179\) | −84.6440 | − | 1129.50i | −0.0353441 | − | 0.471634i | −0.986592 | − | 0.163206i | \(-0.947816\pi\) |
0.951248 | − | 0.308427i | \(-0.0998027\pi\) | |||||||
\(180\) | 148.601 | + | 378.628i | 0.0615335 | + | 0.156785i | ||||
\(181\) | 830.706 | − | 3639.56i | 0.341138 | − | 1.49462i | −0.455539 | − | 0.890216i | \(-0.650554\pi\) |
0.796677 | − | 0.604406i | \(-0.206589\pi\) | |||||||
\(182\) | 1700.11 | − | 533.971i | 0.692421 | − | 0.217476i | ||||
\(183\) | 902.931 | + | 3956.00i | 0.364735 | + | 1.59801i | ||||
\(184\) | −417.309 | + | 284.516i | −0.167198 | + | 0.113994i | ||||
\(185\) | 140.536 | − | 130.398i | 0.0558508 | − | 0.0518220i | ||||
\(186\) | −9200.03 | − | 1386.68i | −3.62677 | − | 0.546648i | ||||
\(187\) | −92.0559 | − | 85.4154i | −0.0359989 | − | 0.0334021i | ||||
\(188\) | 1324.22 | + | 1660.52i | 0.513718 | + | 0.644182i | ||||
\(189\) | −4570.47 | − | 4197.40i | −1.75901 | − | 1.61543i | ||||
\(190\) | 170.105 | − | 213.305i | 0.0649512 | − | 0.0814462i | ||||
\(191\) | −1330.17 | + | 200.491i | −0.503916 | + | 0.0759532i | −0.396081 | − | 0.918216i | \(-0.629630\pi\) |
−0.107835 | + | 0.994169i | \(0.534392\pi\) | |||||||
\(192\) | 3338.92 | + | 2276.44i | 1.25503 | + | 0.855666i | ||||
\(193\) | −816.032 | + | 2079.22i | −0.304349 | + | 0.775468i | 0.694105 | + | 0.719874i | \(0.255800\pi\) |
−0.998453 | + | 0.0555938i | \(0.982295\pi\) | |||||||
\(194\) | 1793.71 | + | 553.286i | 0.663819 | + | 0.204761i | ||||
\(195\) | −205.454 | −0.0754505 | ||||||||
\(196\) | −2492.94 | + | 401.921i | −0.908504 | + | 0.146473i | ||||
\(197\) | −2481.89 | −0.897600 | −0.448800 | − | 0.893632i | \(-0.648149\pi\) | ||||
−0.448800 | + | 0.893632i | \(0.648149\pi\) | |||||||
\(198\) | 998.270 | + | 307.926i | 0.358303 | + | 0.110522i | ||||
\(199\) | 1073.57 | − | 2735.41i | 0.382428 | − | 0.974411i | −0.601980 | − | 0.798511i | \(-0.705621\pi\) |
0.984408 | − | 0.175900i | \(-0.0562835\pi\) | |||||||
\(200\) | −256.688 | − | 175.007i | −0.0907528 | − | 0.0618742i | ||||
\(201\) | −4101.66 | + | 618.225i | −1.43935 | + | 0.216946i | ||||
\(202\) | 1415.61 | − | 1775.11i | 0.493078 | − | 0.618300i | ||||
\(203\) | −317.205 | + | 4545.24i | −0.109672 | + | 1.57149i | ||||
\(204\) | 1276.78 | + | 1601.03i | 0.438199 | + | 0.549484i | ||||
\(205\) | 29.1500 | + | 27.0473i | 0.00993135 | + | 0.00921495i | ||||
\(206\) | 3510.30 | + | 529.092i | 1.18725 | + | 0.178950i | ||||
\(207\) | 9242.02 | − | 8575.35i | 3.10321 | − | 2.87936i | ||||
\(208\) | −1393.43 | + | 950.023i | −0.464504 | + | 0.316693i | ||||
\(209\) | −74.7250 | − | 327.392i | −0.0247313 | − | 0.108355i | ||||
\(210\) | 601.171 | + | 87.4638i | 0.197546 | + | 0.0287408i | ||||
\(211\) | −64.3874 | + | 282.100i | −0.0210076 | + | 0.0920405i | −0.984345 | − | 0.176253i | \(-0.943602\pi\) |
0.963337 | + | 0.268293i | \(0.0864596\pi\) | |||||||
\(212\) | −1739.38 | − | 4431.87i | −0.563496 | − | 1.43576i | ||||
\(213\) | 195.644 | + | 2610.69i | 0.0629358 | + | 0.839820i | ||||
\(214\) | 2388.43 | + | 4136.88i | 0.762942 | + | 1.32146i | ||||
\(215\) | −116.874 | + | 202.432i | −0.0370732 | + | 0.0642127i | ||||
\(216\) | 755.012 | + | 363.594i | 0.237833 | + | 0.114535i | ||||
\(217\) | −2879.87 | + | 3649.45i | −0.900913 | + | 1.14166i | ||||
\(218\) | −1572.47 | + | 757.261i | −0.488537 | + | 0.235267i | ||||
\(219\) | 124.414 | − | 1660.19i | 0.0383886 | − | 0.512260i | ||||
\(220\) | −26.5797 | + | 8.19874i | −0.00814546 | + | 0.00251254i | ||||
\(221\) | −690.008 | + | 212.839i | −0.210023 | + | 0.0647834i | ||||
\(222\) | −600.040 | + | 8006.98i | −0.181406 | + | 2.42069i | ||||
\(223\) | 1918.26 | − | 923.785i | 0.576037 | − | 0.277405i | −0.123098 | − | 0.992394i | \(-0.539283\pi\) |
0.699135 | + | 0.714990i | \(0.253569\pi\) | |||||||
\(224\) | 4148.67 | − | 2024.15i | 1.23747 | − | 0.603768i | ||||
\(225\) | 6986.98 | + | 3364.75i | 2.07022 | + | 0.996963i | ||||
\(226\) | −517.523 | + | 896.377i | −0.152324 | + | 0.263832i | ||||
\(227\) | 1736.79 | + | 3008.21i | 0.507819 | + | 0.879568i | 0.999959 | + | 0.00905200i | \(0.00288138\pi\) |
−0.492140 | + | 0.870516i | \(0.663785\pi\) | |||||||
\(228\) | 409.223 | + | 5460.71i | 0.118866 | + | 1.58616i | ||||
\(229\) | −2124.01 | − | 5411.88i | −0.612919 | − | 1.56169i | −0.813220 | − | 0.581957i | \(-0.802287\pi\) |
0.200301 | − | 0.979734i | \(-0.435808\pi\) | |||||||
\(230\) | −155.869 | + | 682.907i | −0.0446857 | + | 0.195781i | ||||
\(231\) | 545.523 | − | 511.398i | 0.155380 | − | 0.145660i | ||||
\(232\) | −136.916 | − | 599.868i | −0.0387456 | − | 0.169756i | ||||
\(233\) | −106.068 | + | 72.3158i | −0.0298229 | + | 0.0203329i | −0.578140 | − | 0.815938i | \(-0.696221\pi\) |
0.548317 | + | 0.836271i | \(0.315269\pi\) | |||||||
\(234\) | 4403.45 | − | 4085.80i | 1.23018 | − | 1.14144i | ||||
\(235\) | −252.463 | − | 38.0527i | −0.0700804 | − | 0.0105629i | ||||
\(236\) | −2223.37 | − | 2062.98i | −0.613257 | − | 0.569020i | ||||
\(237\) | −1109.35 | − | 1391.08i | −0.304051 | − | 0.381268i | ||||
\(238\) | 2109.62 | − | 329.039i | 0.574564 | − | 0.0896152i | ||||
\(239\) | −2741.78 | + | 3438.08i | −0.742054 | + | 0.930507i | −0.999358 | − | 0.0358237i | \(-0.988595\pi\) |
0.257304 | + | 0.966331i | \(0.417166\pi\) | |||||||
\(240\) | −568.514 | + | 85.6898i | −0.152906 | + | 0.0230469i | ||||
\(241\) | −1859.22 | − | 1267.59i | −0.496941 | − | 0.338809i | 0.288774 | − | 0.957397i | \(-0.406752\pi\) |
−0.785715 | + | 0.618589i | \(0.787705\pi\) | |||||||
\(242\) | 1879.79 | − | 4789.64i | 0.499329 | − | 1.27227i | ||||
\(243\) | −4756.38 | − | 1467.15i | −1.25565 | − | 0.387316i | ||||
\(244\) | 3158.85 | 0.828790 | ||||||||
\(245\) | 186.817 | − | 239.251i | 0.0487155 | − | 0.0623884i | ||||
\(246\) | −1665.47 | −0.431652 | ||||||||
\(247\) | −1845.15 | − | 569.155i | −0.475321 | − | 0.146617i | ||||
\(248\) | 229.361 | − | 584.401i | 0.0587275 | − | 0.149635i | ||||
\(249\) | −1777.28 | − | 1211.73i | −0.452332 | − | 0.308395i | ||||
\(250\) | −854.782 | + | 128.838i | −0.216245 | + | 0.0325936i | ||||
\(251\) | 1881.04 | − | 2358.74i | 0.473027 | − | 0.593158i | −0.486882 | − | 0.873468i | \(-0.661866\pi\) |
0.959910 | + | 0.280310i | \(0.0904373\pi\) | |||||||
\(252\) | −7008.34 | + | 4831.00i | −1.75192 | + | 1.20764i | ||||
\(253\) | 537.558 | + | 674.077i | 0.133581 | + | 0.167505i | ||||
\(254\) | 1049.55 | + | 973.838i | 0.259270 | + | 0.240567i | ||||
\(255\) | −243.418 | − | 36.6894i | −0.0597782 | − | 0.00901012i | ||||
\(256\) | −3422.86 | + | 3175.95i | −0.835660 | + | 0.775379i | ||||
\(257\) | −4349.98 | + | 2965.77i | −1.05581 | + | 0.719842i | −0.961250 | − | 0.275677i | \(-0.911098\pi\) |
−0.0945638 | + | 0.995519i | \(0.530146\pi\) | |||||||
\(258\) | −2178.47 | − | 9544.49i | −0.525680 | − | 2.30316i | ||||
\(259\) | 3326.45 | + | 2243.05i | 0.798051 | + | 0.538132i | ||||
\(260\) | −35.5902 | + | 155.931i | −0.00848927 | + | 0.0371939i | ||||
\(261\) | 5611.28 | + | 14297.3i | 1.33077 | + | 3.39073i | ||||
\(262\) | −230.939 | − | 3081.67i | −0.0544560 | − | 0.726665i | ||||
\(263\) | −384.808 | − | 666.507i | −0.0902216 | − | 0.156268i | 0.817383 | − | 0.576095i | \(-0.195424\pi\) |
−0.907604 | + | 0.419827i | \(0.862091\pi\) | |||||||
\(264\) | −50.4888 | + | 87.4492i | −0.0117704 | + | 0.0203869i | ||||
\(265\) | 515.644 | + | 248.321i | 0.119531 | + | 0.0575632i | ||||
\(266\) | 5156.75 | + | 2450.89i | 1.18865 | + | 0.564938i | ||||
\(267\) | −9241.08 | + | 4450.27i | −2.11814 | + | 1.02004i | ||||
\(268\) | −241.312 | + | 3220.08i | −0.0550017 | + | 0.733947i | ||||
\(269\) | 6346.55 | − | 1957.65i | 1.43850 | − | 0.443718i | 0.525189 | − | 0.850986i | \(-0.323995\pi\) |
0.913309 | + | 0.407268i | \(0.133518\pi\) | |||||||
\(270\) | 1110.57 | − | 342.564i | 0.250322 | − | 0.0772141i | ||||
\(271\) | −42.3155 | + | 564.662i | −0.00948519 | + | 0.126571i | −0.999936 | − | 0.0112939i | \(-0.996405\pi\) |
0.990451 | + | 0.137865i | \(0.0440240\pi\) | |||||||
\(272\) | −1820.56 | + | 876.737i | −0.405838 | + | 0.195441i | ||||
\(273\) | −978.217 | − | 4186.84i | −0.216866 | − | 0.928201i | ||||
\(274\) | 1277.31 | + | 615.122i | 0.281625 | + | 0.135624i | ||||
\(275\) | −265.163 | + | 459.276i | −0.0581452 | + | 0.100711i | ||||
\(276\) | −7029.69 | − | 12175.8i | −1.53311 | − | 2.65542i | ||||
\(277\) | 388.599 | + | 5185.49i | 0.0842912 | + | 1.12479i | 0.865631 | + | 0.500682i | \(0.166917\pi\) |
−0.781340 | + | 0.624105i | \(0.785464\pi\) | |||||||
\(278\) | −3398.96 | − | 8660.40i | −0.733294 | − | 1.86840i | ||||
\(279\) | −3487.16 | + | 15278.2i | −0.748282 | + | 3.27844i | ||||
\(280\) | −14.7803 | + | 38.2347i | −0.00315462 | + | 0.00816056i | ||||
\(281\) | −1097.44 | − | 4808.21i | −0.232982 | − | 1.02076i | −0.947151 | − | 0.320787i | \(-0.896053\pi\) |
0.714170 | − | 0.699973i | \(-0.246805\pi\) | |||||||
\(282\) | 8835.16 | − | 6023.71i | 1.86570 | − | 1.27201i | ||||
\(283\) | 5809.72 | − | 5390.63i | 1.22033 | − | 1.13230i | 0.233186 | − | 0.972432i | \(-0.425085\pi\) |
0.987139 | − | 0.159865i | \(-0.0511057\pi\) | |||||||
\(284\) | 2015.30 | + | 303.757i | 0.421077 | + | 0.0634672i | ||||
\(285\) | −482.552 | − | 447.743i | −0.100294 | − | 0.0930596i | ||||
\(286\) | 256.125 | + | 321.170i | 0.0529544 | + | 0.0664027i | ||||
\(287\) | −412.392 | + | 722.813i | −0.0848179 | + | 0.148663i | ||||
\(288\) | 9701.95 | − | 12165.9i | 1.98504 | − | 2.48917i | ||||
\(289\) | 4002.61 | − | 603.296i | 0.814697 | − | 0.122796i | ||||
\(290\) | −705.060 | − | 480.702i | −0.142767 | − | 0.0973372i | ||||
\(291\) | 1654.66 | − | 4216.00i | 0.333326 | − | 0.849300i | ||||
\(292\) | −1238.46 | − | 382.014i | −0.248203 | − | 0.0765606i | ||||
\(293\) | −9139.85 | −1.82237 | −0.911187 | − | 0.411993i | \(-0.864833\pi\) | ||||
−0.911187 | + | 0.411993i | \(0.864833\pi\) | |||||||
\(294\) | 1079.95 | + | 12667.4i | 0.214231 | + | 2.51285i | ||||
\(295\) | 364.603 | 0.0719594 | ||||||||
\(296\) | −517.728 | − | 159.698i | −0.101663 | − | 0.0313590i | ||||
\(297\) | 522.620 | − | 1331.61i | 0.102106 | − | 0.260162i | ||||
\(298\) | 2996.59 | + | 2043.04i | 0.582508 | + | 0.397148i | ||||
\(299\) | 4902.21 | − | 738.889i | 0.948168 | − | 0.142913i | ||||
\(300\) | 5391.91 | − | 6761.24i | 1.03767 | − | 1.30120i | ||||
\(301\) | −4681.72 | − | 1417.89i | −0.896511 | − | 0.271514i | ||||
\(302\) | 1644.95 | + | 2062.70i | 0.313431 | + | 0.393030i | ||||
\(303\) | −4015.77 | − | 3726.09i | −0.761387 | − | 0.706464i | ||||
\(304\) | −5343.14 | − | 805.348i | −1.00806 | − | 0.151940i | ||||
\(305\) | −278.361 | + | 258.281i | −0.0522587 | + | 0.0484890i | ||||
\(306\) | 5946.77 | − | 4054.44i | 1.11096 | − | 0.757440i | ||||
\(307\) | 1210.99 | + | 5305.68i | 0.225129 | + | 0.986355i | 0.953552 | + | 0.301227i | \(0.0973963\pi\) |
−0.728423 | + | 0.685127i | \(0.759747\pi\) | |||||||
\(308\) | −293.631 | − | 502.617i | −0.0543219 | − | 0.0929846i | ||||
\(309\) | 1905.96 | − | 8350.57i | 0.350895 | − | 1.53737i | ||||
\(310\) | −318.094 | − | 810.491i | −0.0582791 | − | 0.148493i | ||||
\(311\) | 766.124 | + | 10223.2i | 0.139688 | + | 1.86401i | 0.424508 | + | 0.905424i | \(0.360447\pi\) |
−0.284820 | + | 0.958581i | \(0.591934\pi\) | |||||||
\(312\) | 290.315 | + | 502.840i | 0.0526790 | + | 0.0912427i | ||||
\(313\) | −3341.73 | + | 5788.04i | −0.603468 | + | 1.04524i | 0.388824 | + | 0.921312i | \(0.372882\pi\) |
−0.992292 | + | 0.123925i | \(0.960452\pi\) | |||||||
\(314\) | −1071.56 | − | 516.035i | −0.192584 | − | 0.0927438i | ||||
\(315\) | 222.578 | − | 998.744i | 0.0398123 | − | 0.178644i | ||||
\(316\) | −1247.94 | + | 600.978i | −0.222159 | + | 0.106986i | ||||
\(317\) | −143.862 | + | 1919.71i | −0.0254893 | + | 0.340131i | 0.969850 | + | 0.243701i | \(0.0783615\pi\) |
−0.995340 | + | 0.0964302i | \(0.969258\pi\) | |||||||
\(318\) | −22905.3 | + | 7065.36i | −4.03920 | + | 1.24593i | ||||
\(319\) | −1003.67 | + | 309.591i | −0.176159 | + | 0.0543379i | ||||
\(320\) | −28.2609 | + | 377.116i | −0.00493698 | + | 0.0658794i | ||||
\(321\) | 10384.2 | − | 5000.77i | 1.80558 | − | 0.869520i | ||||
\(322\) | −14658.8 | + | 75.1177i | −2.53696 | + | 0.0130005i | ||||
\(323\) | −2084.47 | − | 1003.83i | −0.359081 | − | 0.172924i | ||||
\(324\) | −5458.75 | + | 9454.84i | −0.936000 | + | 1.62120i | ||||
\(325\) | 1524.71 | + | 2640.87i | 0.260233 | + | 0.450736i | ||||
\(326\) | −266.149 | − | 3551.51i | −0.0452167 | − | 0.603374i | ||||
\(327\) | 1538.48 | + | 3919.98i | 0.260178 | + | 0.662922i | ||||
\(328\) | 25.0069 | − | 109.563i | 0.00420969 | − | 0.0184438i | ||||
\(329\) | −426.585 | − | 5326.00i | −0.0714845 | − | 0.892499i | ||||
\(330\) | 31.1626 | + | 136.532i | 0.00519831 | + | 0.0227753i | ||||
\(331\) | −4892.38 | + | 3335.57i | −0.812416 | + | 0.553896i | −0.896748 | − | 0.442542i | \(-0.854077\pi\) |
0.0843320 | + | 0.996438i | \(0.473124\pi\) | |||||||
\(332\) | −1227.53 | + | 1138.98i | −0.202920 | + | 0.188282i | ||||
\(333\) | 13373.3 | + | 2015.71i | 2.20076 | + | 0.331712i | ||||
\(334\) | 495.381 | + | 459.647i | 0.0811559 | + | 0.0753017i | ||||
\(335\) | −242.023 | − | 303.487i | −0.0394720 | − | 0.0494963i | ||||
\(336\) | −4453.07 | − | 11177.5i | −0.723020 | − | 1.81483i | ||||
\(337\) | 6779.97 | − | 8501.81i | 1.09593 | − | 1.37425i | 0.174979 | − | 0.984572i | \(-0.444014\pi\) |
0.920950 | − | 0.389680i | \(-0.127414\pi\) | |||||||
\(338\) | −6179.09 | + | 931.349i | −0.994374 | + | 0.149878i | ||||
\(339\) | 2063.42 | + | 1406.81i | 0.330588 | + | 0.225391i | ||||
\(340\) | −70.0124 | + | 178.389i | −0.0111675 | + | 0.0284544i | ||||
\(341\) | −1024.07 | − | 315.883i | −0.162628 | − | 0.0501642i | ||||
\(342\) | 19246.6 | 3.04309 | ||||||||
\(343\) | 5765.05 | + | 2667.92i | 0.907532 | + | 0.419982i | ||||
\(344\) | 660.592 | 0.103537 | ||||||||
\(345\) | 1615.01 | + | 498.164i | 0.252026 | + | 0.0777398i | ||||
\(346\) | −4034.33 | + | 10279.3i | −0.626840 | + | 1.59716i | ||||
\(347\) | −7026.22 | − | 4790.40i | −1.08700 | − | 0.741101i | −0.119208 | − | 0.992869i | \(-0.538036\pi\) |
−0.967788 | + | 0.251768i | \(0.918988\pi\) | |||||||
\(348\) | 16936.3 | − | 2552.74i | 2.60886 | − | 0.393222i | ||||
\(349\) | 5668.06 | − | 7107.53i | 0.869354 | − | 1.09014i | −0.125825 | − | 0.992053i | \(-0.540158\pi\) |
0.995178 | − | 0.0980825i | \(-0.0312709\pi\) | |||||||
\(350\) | −3337.15 | − | 8376.46i | −0.509653 | − | 1.27926i | ||||
\(351\) | −5128.51 | − | 6430.95i | −0.779885 | − | 0.977944i | ||||
\(352\) | 780.060 | + | 723.790i | 0.118117 | + | 0.109597i | ||||
\(353\) | −20.2809 | − | 3.05685i | −0.00305791 | − | 0.000460906i | 0.147513 | − | 0.989060i | \(-0.452873\pi\) |
−0.150571 | + | 0.988599i | \(0.548111\pi\) | |||||||
\(354\) | −11194.1 | + | 10386.6i | −1.68067 | + | 1.55943i | ||||
\(355\) | −202.426 | + | 138.012i | −0.0302639 | + | 0.0206336i | ||||
\(356\) | 1776.76 | + | 7784.50i | 0.264517 | + | 1.15893i | ||||
\(357\) | −411.302 | − | 5135.18i | −0.0609759 | − | 0.761296i | ||||
\(358\) | −987.856 | + | 4328.08i | −0.145838 | + | 0.638956i | ||||
\(359\) | 1530.81 | + | 3900.45i | 0.225051 | + | 0.573420i | 0.998146 | − | 0.0608704i | \(-0.0193876\pi\) |
−0.773095 | + | 0.634290i | \(0.781292\pi\) | |||||||
\(360\) | 10.3264 | + | 137.796i | 0.00151180 | + | 0.0201735i | ||||
\(361\) | 336.113 | + | 582.164i | 0.0490032 | + | 0.0848760i | ||||
\(362\) | −7315.92 | + | 12671.5i | −1.06220 | + | 1.83978i | ||||
\(363\) | −11185.2 | − | 5386.50i | −1.61727 | − | 0.778837i | ||||
\(364\) | −3347.09 | + | 17.1519i | −0.481965 | + | 0.00246979i | ||||
\(365\) | 140.369 | − | 67.5983i | 0.0201295 | − | 0.00969386i | ||||
\(366\) | 1188.51 | − | 15859.5i | 0.169738 | − | 2.26500i | ||||
\(367\) | −3379.27 | + | 1042.37i | −0.480645 | + | 0.148259i | −0.525604 | − | 0.850730i | \(-0.676160\pi\) |
0.0449590 | + | 0.998989i | \(0.485684\pi\) | |||||||
\(368\) | 13256.8 | − | 4089.19i | 1.87788 | − | 0.579249i | ||||
\(369\) | −209.636 | + | 2797.40i | −0.0295751 | + | 0.394652i | ||||
\(370\) | −676.993 | + | 326.023i | −0.0951222 | + | 0.0458084i | ||||
\(371\) | −2605.30 | + | 11690.4i | −0.364583 | + | 1.63594i | ||||
\(372\) | 15745.1 | + | 7582.42i | 2.19447 | + | 1.05680i | ||||
\(373\) | 2671.82 | − | 4627.73i | 0.370889 | − | 0.642398i | −0.618814 | − | 0.785538i | \(-0.712386\pi\) |
0.989703 | + | 0.143139i | \(0.0457197\pi\) | |||||||
\(374\) | 246.099 | + | 426.255i | 0.0340253 | + | 0.0589335i | ||||
\(375\) | 155.866 | + | 2079.88i | 0.0214636 | + | 0.286412i | ||||
\(376\) | 263.609 | + | 671.665i | 0.0361558 | + | 0.0921236i | ||||
\(377\) | −1343.92 | + | 5888.08i | −0.183595 | + | 0.804381i | ||||
\(378\) | 12268.6 | + | 21000.6i | 1.66939 | + | 2.85756i | ||||
\(379\) | −2026.53 | − | 8878.82i | −0.274660 | − | 1.20336i | −0.904444 | − | 0.426593i | \(-0.859714\pi\) |
0.629784 | − | 0.776770i | \(-0.283143\pi\) | |||||||
\(380\) | −423.409 | + | 288.676i | −0.0571591 | + | 0.0389704i | ||||
\(381\) | 2532.35 | − | 2349.68i | 0.340515 | − | 0.315952i | ||||
\(382\) | 5213.52 | + | 785.811i | 0.698290 | + | 0.105250i | ||||
\(383\) | −5014.77 | − | 4653.03i | −0.669041 | − | 0.620779i | 0.270701 | − | 0.962663i | \(-0.412745\pi\) |
−0.939742 | + | 0.341884i | \(0.888935\pi\) | |||||||
\(384\) | 1881.56 | + | 2359.40i | 0.250047 | + | 0.313549i | ||||
\(385\) | 66.9711 | + | 20.2826i | 0.00886536 | + | 0.00268493i | ||||
\(386\) | 5458.34 | − | 6844.54i | 0.719747 | − | 0.902534i | ||||
\(387\) | −16305.5 | + | 2457.67i | −2.14175 | + | 0.322817i | ||||
\(388\) | −2913.14 | − | 1986.14i | −0.381165 | − | 0.259874i | ||||
\(389\) | −147.590 | + | 376.052i | −0.0192367 | + | 0.0490144i | −0.940169 | − | 0.340707i | \(-0.889334\pi\) |
0.920933 | + | 0.389722i | \(0.127429\pi\) | |||||||
\(390\) | 769.485 | + | 237.355i | 0.0999086 | + | 0.0308177i | ||||
\(391\) | 5940.01 | 0.768285 | ||||||||
\(392\) | −849.538 | − | 119.156i | −0.109460 | − | 0.0153528i | ||||
\(393\) | −7456.30 | −0.957050 | ||||||||
\(394\) | 9295.41 | + | 2867.25i | 1.18857 | + | 0.366625i | ||||
\(395\) | 60.8314 | − | 154.996i | 0.00774876 | − | 0.0197435i | ||||
\(396\) | −1621.28 | − | 1105.37i | −0.205738 | − | 0.140270i | ||||
\(397\) | 6417.87 | − | 967.338i | 0.811344 | − | 0.122290i | 0.269750 | − | 0.962930i | \(-0.413059\pi\) |
0.541594 | + | 0.840640i | \(0.317821\pi\) | |||||||
\(398\) | −7180.96 | + | 9004.64i | −0.904395 | + | 1.13408i | ||||
\(399\) | 6826.77 | − | 11965.5i | 0.856556 | − | 1.50131i | ||||
\(400\) | 5320.49 | + | 6671.69i | 0.665062 | + | 0.833961i | ||||
\(401\) | 6338.14 | + | 5880.94i | 0.789306 | + | 0.732369i | 0.967840 | − | 0.251565i | \(-0.0809451\pi\) |
−0.178534 | + | 0.983934i | \(0.557136\pi\) | |||||||
\(402\) | 16076.1 | + | 2423.09i | 1.99454 | + | 0.300628i | ||||
\(403\) | −4517.24 | + | 4191.38i | −0.558361 | + | 0.518083i | ||||
\(404\) | −3523.59 | + | 2402.34i | −0.433924 | + | 0.295844i | ||||
\(405\) | −292.038 | − | 1279.50i | −0.0358308 | − | 0.156985i | ||||
\(406\) | 6439.01 | − | 16656.8i | 0.787100 | − | 2.03612i | ||||
\(407\) | −205.803 | + | 901.684i | −0.0250646 | + | 0.109815i | ||||
\(408\) | 254.165 | + | 647.601i | 0.0308407 | + | 0.0785809i | ||||
\(409\) | −942.040 | − | 12570.7i | −0.113890 | − | 1.51975i | −0.702703 | − | 0.711484i | \(-0.748024\pi\) |
0.588813 | − | 0.808269i | \(-0.299595\pi\) | |||||||
\(410\) | −77.9286 | − | 134.976i | −0.00938687 | − | 0.0162585i | ||||
\(411\) | 1710.33 | − | 2962.37i | 0.205266 | − | 0.355531i | ||||
\(412\) | −6007.57 | − | 2893.09i | −0.718378 | − | 0.345953i | ||||
\(413\) | 1735.97 | + | 7430.06i | 0.206832 | + | 0.885253i | ||||
\(414\) | −44521.0 | + | 21440.2i | −5.28523 | + | 2.54523i | ||||
\(415\) | 15.0431 | − | 200.736i | 0.00177936 | − | 0.0237439i | ||||
\(416\) | 5846.97 | − | 1803.55i | 0.689114 | − | 0.212563i | ||||
\(417\) | −21450.2 | + | 6616.52i | −2.51900 | + | 0.777009i | ||||
\(418\) | −98.3587 | + | 1312.51i | −0.0115093 | + | 0.153581i | ||||
\(419\) | −4475.14 | + | 2155.11i | −0.521778 | + | 0.251275i | −0.676184 | − | 0.736733i | \(-0.736368\pi\) |
0.154407 | + | 0.988007i | \(0.450653\pi\) | |||||||
\(420\) | −1030.59 | − | 489.818i | −0.119733 | − | 0.0569064i | ||||
\(421\) | −3404.88 | − | 1639.71i | −0.394166 | − | 0.189820i | 0.226293 | − | 0.974059i | \(-0.427339\pi\) |
−0.620459 | + | 0.784239i | \(0.713054\pi\) | |||||||
\(422\) | 567.051 | − | 982.162i | 0.0654114 | − | 0.113296i | ||||
\(423\) | −9005.59 | − | 15598.1i | −1.03515 | − | 1.79292i | ||||
\(424\) | −120.871 | − | 1612.91i | −0.0138443 | − | 0.184740i | ||||
\(425\) | 1334.85 | + | 3401.14i | 0.152352 | + | 0.388188i | ||||
\(426\) | 2283.31 | − | 10003.8i | 0.259687 | − | 1.13776i | ||||
\(427\) | −6588.73 | − | 4442.83i | −0.746724 | − | 0.503522i | ||||
\(428\) | −1996.55 | − | 8747.46i | −0.225483 | − | 0.987907i | ||||
\(429\) | 818.934 | − | 558.340i | 0.0921643 | − | 0.0628366i | ||||
\(430\) | 671.591 | − | 623.145i | 0.0753186 | − | 0.0698854i | ||||
\(431\) | 6916.28 | + | 1042.46i | 0.772959 | + | 0.116505i | 0.523667 | − | 0.851923i | \(-0.324564\pi\) |
0.249293 | + | 0.968428i | \(0.419802\pi\) | |||||||
\(432\) | −16873.4 | − | 15656.2i | −1.87921 | − | 1.74366i | ||||
\(433\) | −4489.41 | − | 5629.54i | −0.498261 | − | 0.624800i | 0.467575 | − | 0.883954i | \(-0.345128\pi\) |
−0.965836 | + | 0.259153i | \(0.916556\pi\) | |||||||
\(434\) | 15002.1 | − | 10341.2i | 1.65927 | − | 1.14377i | ||||
\(435\) | −1283.72 | + | 1609.74i | −0.141494 | + | 0.177428i | ||||
\(436\) | 3241.61 | − | 488.594i | 0.356067 | − | 0.0536684i | ||||
\(437\) | 13124.1 | + | 8947.89i | 1.43664 | + | 0.979487i | ||||
\(438\) | −2383.93 | + | 6074.15i | −0.260065 | + | 0.662635i | ||||
\(439\) | 10330.5 | + | 3186.55i | 1.12312 | + | 0.346436i | 0.800047 | − | 0.599938i | \(-0.204808\pi\) |
0.323073 | + | 0.946374i | \(0.395284\pi\) | |||||||
\(440\) | −9.44964 | −0.00102385 | ||||||||
\(441\) | 21412.7 | − | 219.461i | 2.31213 | − | 0.0236973i | ||||
\(442\) | 2830.17 | 0.304565 | ||||||||
\(443\) | 1255.32 | + | 387.215i | 0.134632 | + | 0.0415285i | 0.361339 | − | 0.932435i | \(-0.382320\pi\) |
−0.226707 | + | 0.973963i | \(0.572796\pi\) | |||||||
\(444\) | 5509.98 | − | 14039.2i | 0.588946 | − | 1.50061i | ||||
\(445\) | −793.064 | − | 540.702i | −0.0844828 | − | 0.0575994i | ||||
\(446\) | −8251.67 | + | 1243.74i | −0.876072 | + | 0.132047i | ||||
\(447\) | 5455.97 | − | 6841.57i | 0.577312 | − | 0.723926i | ||||
\(448\) | −7819.61 | + | 1219.63i | −0.824647 | + | 0.128621i | ||||
\(449\) | 2167.53 | + | 2718.00i | 0.227822 | + | 0.285680i | 0.882583 | − | 0.470156i | \(-0.155802\pi\) |
−0.654761 | + | 0.755836i | \(0.727231\pi\) | |||||||
\(450\) | −22281.1 | − | 20673.8i | −2.33409 | − | 2.16572i | ||||
\(451\) | −189.695 | − | 28.5919i | −0.0198057 | − | 0.00298523i | ||||
\(452\) | 1425.15 | − | 1322.35i | 0.148304 | − | 0.137606i | ||||
\(453\) | 5259.57 | − | 3585.91i | 0.545510 | − | 0.371923i | ||||
\(454\) | −3029.50 | − | 13273.1i | −0.313175 | − | 1.37211i | ||||
\(455\) | 293.546 | − | 275.184i | 0.0302454 | − | 0.0283534i | ||||
\(456\) | −413.967 | + | 1813.71i | −0.0425127 | + | 0.186260i | ||||
\(457\) | −5059.02 | − | 12890.2i | −0.517836 | − | 1.31942i | −0.915657 | − | 0.401961i | \(-0.868329\pi\) |
0.397821 | − | 0.917463i | \(-0.369766\pi\) | |||||||
\(458\) | 1702.85 | + | 22722.9i | 0.173731 | + | 2.31828i | ||||
\(459\) | −4927.75 | − | 8535.12i | −0.501106 | − | 0.867942i | ||||
\(460\) | 657.849 | − | 1139.43i | 0.0666790 | − | 0.115491i | ||||
\(461\) | −2286.60 | − | 1101.17i | −0.231014 | − | 0.111250i | 0.314796 | − | 0.949159i | \(-0.398064\pi\) |
−0.545810 | + | 0.837909i | \(0.683778\pi\) | |||||||
\(462\) | −2633.95 | + | 1285.11i | −0.265243 | + | 0.129413i | ||||
\(463\) | 16569.3 | − | 7979.34i | 1.66315 | − | 0.800932i | 0.664596 | − | 0.747203i | \(-0.268604\pi\) |
0.998556 | − | 0.0537286i | \(-0.0171106\pi\) | |||||||
\(464\) | −1263.00 | + | 16853.5i | −0.126365 | + | 1.68622i | ||||
\(465\) | −2007.44 | + | 619.213i | −0.200199 | + | 0.0617534i | ||||
\(466\) | 480.800 | − | 148.307i | 0.0477953 | − | 0.0147429i | ||||
\(467\) | 617.300 | − | 8237.30i | 0.0611676 | − | 0.816224i | −0.879284 | − | 0.476297i | \(-0.841979\pi\) |
0.940452 | − | 0.339927i | \(-0.110402\pi\) | |||||||
\(468\) | −10165.6 | + | 4895.52i | −1.00407 | + | 0.483537i | ||||
\(469\) | 5032.28 | − | 6377.04i | 0.495456 | − | 0.627856i | ||||
\(470\) | 901.589 | + | 434.182i | 0.0884834 | + | 0.0426114i | ||||
\(471\) | −1434.82 | + | 2485.18i | −0.140367 | + | 0.243123i | ||||
\(472\) | −515.200 | − | 892.352i | −0.0502415 | − | 0.0870209i | ||||
\(473\) | −84.2700 | − | 1124.50i | −0.00819183 | − | 0.109312i | ||||
\(474\) | 2547.77 | + | 6491.61i | 0.246884 | + | 0.629050i | ||||
\(475\) | −2174.12 | + | 9525.44i | −0.210011 | + | 0.920120i | ||||
\(476\) | −3968.64 | − | 577.393i | −0.382148 | − | 0.0555983i | ||||
\(477\) | 8984.15 | + | 39362.1i | 0.862381 | + | 3.77834i | ||||
\(478\) | 14240.7 | − | 9709.14i | 1.36267 | − | 0.929050i | ||||
\(479\) | −681.111 | + | 631.979i | −0.0649703 | + | 0.0602836i | −0.711990 | − | 0.702190i | \(-0.752206\pi\) |
0.647019 | + | 0.762474i | \(0.276015\pi\) | |||||||
\(480\) | 2062.67 | + | 310.897i | 0.196141 | + | 0.0295635i | ||||
\(481\) | 3898.43 | + | 3617.22i | 0.369549 | + | 0.342892i | ||||
\(482\) | 5498.91 | + | 6895.42i | 0.519644 | + | 0.651613i | ||||
\(483\) | −2462.36 | + | 35283.3i | −0.231970 | + | 3.32390i | ||||
\(484\) | −6025.71 | + | 7556.00i | −0.565900 | + | 0.709617i | ||||
\(485\) | 419.104 | − | 63.1698i | 0.0392382 | − | 0.00591421i | ||||
\(486\) | 16119.1 | + | 10989.8i | 1.50448 | + | 1.02574i | ||||
\(487\) | 2827.84 | − | 7205.21i | 0.263124 | − | 0.670430i | −0.736860 | − | 0.676045i | \(-0.763692\pi\) |
0.999984 | + | 0.00561572i | \(0.00178755\pi\) | |||||||
\(488\) | 1025.47 | + | 316.315i | 0.0951246 | + | 0.0293421i | ||||
\(489\) | −8593.11 | −0.794671 | ||||||||
\(490\) | −976.084 | + | 680.240i | −0.0899898 | + | 0.0627146i | ||||
\(491\) | −11514.1 | −1.05830 | −0.529148 | − | 0.848530i | \(-0.677488\pi\) | ||||
−0.529148 | + | 0.848530i | \(0.677488\pi\) | |||||||
\(492\) | 2989.29 | + | 922.073i | 0.273917 | + | 0.0844924i | ||||
\(493\) | −2643.73 | + | 6736.11i | −0.241516 | + | 0.615374i | ||||
\(494\) | 6253.12 | + | 4263.30i | 0.569516 | + | 0.388290i | ||||
\(495\) | 233.248 | − | 35.1565i | 0.0211792 | − | 0.00319225i | ||||
\(496\) | −10751.6 | + | 13482.1i | −0.973308 | + | 1.22049i | ||||
\(497\) | −3776.28 | − | 3468.03i | −0.340824 | − | 0.313003i | ||||
\(498\) | 5256.57 | + | 6591.53i | 0.472997 | + | 0.593119i | ||||
\(499\) | 4503.47 | + | 4178.61i | 0.404014 | + | 0.374870i | 0.855844 | − | 0.517234i | \(-0.173038\pi\) |
−0.451830 | + | 0.892104i | \(0.649229\pi\) | |||||||
\(500\) | 1605.54 | + | 241.997i | 0.143604 | + | 0.0216448i | ||||
\(501\) | 1195.26 | − | 1109.04i | 0.106587 | − | 0.0988983i | ||||
\(502\) | −9770.02 | + | 6661.09i | −0.868640 | + | 0.592229i | ||||
\(503\) | −1542.34 | − | 6757.42i | −0.136718 | − | 0.599003i | −0.996143 | − | 0.0877408i | \(-0.972035\pi\) |
0.859425 | − | 0.511262i | \(-0.170822\pi\) | |||||||
\(504\) | −2758.90 | + | 866.516i | −0.243832 | + | 0.0765827i | ||||
\(505\) | 114.076 | − | 499.801i | 0.0100521 | − | 0.0440413i | ||||
\(506\) | −1234.57 | − | 3145.64i | −0.108465 | − | 0.276365i | ||||
\(507\) | 1126.73 | + | 15035.2i | 0.0986979 | + | 1.31703i | ||||
\(508\) | −1344.63 | − | 2328.98i | −0.117438 | − | 0.203409i | ||||
\(509\) | 3026.04 | − | 5241.26i | 0.263511 | − | 0.456414i | −0.703662 | − | 0.710535i | \(-0.748453\pi\) |
0.967172 | + | 0.254121i | \(0.0817862\pi\) | |||||||
\(510\) | 869.287 | + | 418.627i | 0.0754758 | + | 0.0363473i | ||||
\(511\) | 2045.89 | + | 2538.66i | 0.177113 | + | 0.219773i | ||||
\(512\) | 14188.6 | − | 6832.88i | 1.22472 | − | 0.589792i | ||||
\(513\) | 1969.48 | − | 26280.9i | 0.169503 | − | 2.26186i | ||||
\(514\) | 19718.2 | − | 6082.26i | 1.69209 | − | 0.521940i | ||||
\(515\) | 765.944 | − | 236.263i | 0.0655370 | − | 0.0202155i | ||||
\(516\) | −1374.18 | + | 18337.1i | −0.117238 | + | 1.56443i | ||||
\(517\) | 1109.73 | − | 534.416i | 0.0944017 | − | 0.0454615i | ||||
\(518\) | −9867.19 | − | 12243.8i | −0.836949 | − | 1.03854i | ||||
\(519\) | 24005.1 | + | 11560.3i | 2.03027 | + | 0.977724i | ||||
\(520\) | −27.1681 | + | 47.0565i | −0.00229115 | + | 0.00396839i | ||||
\(521\) | −8269.89 | − | 14323.9i | −0.695414 | − | 1.20449i | −0.970041 | − | 0.242941i | \(-0.921888\pi\) |
0.274627 | − | 0.961551i | \(-0.411446\pi\) | |||||||
\(522\) | −4498.64 | − | 60030.2i | −0.377204 | − | 5.03343i | ||||
\(523\) | −2686.24 | − | 6844.43i | −0.224591 | − | 0.572248i | 0.773514 | − | 0.633779i | \(-0.218497\pi\) |
−0.998105 | + | 0.0615305i | \(0.980402\pi\) | |||||||
\(524\) | −1291.64 | + | 5659.02i | −0.107682 | + | 0.471786i | ||||
\(525\) | −20755.9 | + | 6519.02i | −1.72545 | + | 0.541930i | ||||
\(526\) | 671.224 | + | 2940.82i | 0.0556402 | + | 0.243776i | ||||
\(527\) | −6100.44 | + | 4159.21i | −0.504249 | + | 0.343791i | ||||
\(528\) | 2033.22 | − | 1886.55i | 0.167584 | − | 0.155495i | ||||
\(529\) | −28295.2 | − | 4264.82i | −2.32557 | − | 0.350523i | ||||
\(530\) | −1644.36 | − | 1525.74i | −0.134767 | − | 0.125046i | ||||
\(531\) | 16036.7 | + | 20109.4i | 1.31061 | + | 1.64345i | ||||
\(532\) | −7898.73 | − | 7253.99i | −0.643710 | − | 0.591166i | ||||
\(533\) | −687.760 | + | 862.424i | −0.0558915 | + | 0.0700858i | ||||
\(534\) | 39751.8 | − | 5991.62i | 3.22140 | − | 0.485548i | ||||
\(535\) | 891.167 | + | 607.588i | 0.0720159 | + | 0.0490996i | ||||
\(536\) | −400.784 | + | 1021.18i | −0.0322971 | + | 0.0822917i | ||||
\(537\) | 10235.5 | + | 3157.23i | 0.822520 | + | 0.253714i | ||||
\(538\) | −26031.3 | −2.08604 | ||||||||
\(539\) | −94.4623 | + | 1461.34i | −0.00754876 | + | 0.116780i | ||||
\(540\) | −2182.97 | −0.173963 | ||||||||
\(541\) | −73.9669 | − | 22.8158i | −0.00587816 | − | 0.00181317i | 0.291815 | − | 0.956475i | \(-0.405741\pi\) |
−0.297693 | + | 0.954662i | \(0.596217\pi\) | |||||||
\(542\) | 810.821 | − | 2065.94i | 0.0642578 | − | 0.163726i | ||||
\(543\) | 29169.3 | + | 19887.3i | 2.30529 | + | 1.57172i | ||||
\(544\) | 7249.47 | − | 1092.68i | 0.571358 | − | 0.0861183i | ||||
\(545\) | −245.704 | + | 308.103i | −0.0193116 | + | 0.0242160i | ||||
\(546\) | −1173.22 | + | 16811.0i | −0.0919579 | + | 1.31767i | ||||
\(547\) | 426.490 | + | 534.801i | 0.0333371 | + | 0.0418034i | 0.798221 | − | 0.602365i | \(-0.205775\pi\) |
−0.764883 | + | 0.644169i | \(0.777203\pi\) | |||||||
\(548\) | −1952.04 | − | 1811.23i | −0.152166 | − | 0.141190i | ||||
\(549\) | −26488.7 | − | 3992.53i | −2.05922 | − | 0.310377i | ||||
\(550\) | 1523.70 | − | 1413.79i | 0.118129 | − | 0.109608i | ||||
\(551\) | −15988.3 | + | 10900.6i | −1.23616 | + | 0.842800i | ||||
\(552\) | −1062.84 | − | 4656.59i | −0.0819517 | − | 0.359054i | ||||
\(553\) | 3448.22 | + | 501.677i | 0.265159 | + | 0.0385777i | ||||
\(554\) | 4535.23 | − | 19870.1i | 0.347804 | − | 1.52383i | ||||
\(555\) | 662.361 | + | 1687.67i | 0.0506588 | + | 0.129077i | ||||
\(556\) | 1305.90 | + | 17426.0i | 0.0996087 | + | 1.32919i | ||||
\(557\) | −7388.63 | − | 12797.5i | −0.562058 | − | 0.973513i | −0.997317 | − | 0.0732078i | \(-0.976676\pi\) |
0.435259 | − | 0.900306i | \(-0.356657\pi\) | |||||||
\(558\) | 30710.9 | − | 53192.9i | 2.32992 | − | 4.03554i | ||||
\(559\) | −5841.99 | − | 2813.35i | −0.442021 | − | 0.212866i | ||||
\(560\) | 697.504 | − | 883.897i | 0.0526338 | − | 0.0666990i | ||||
\(561\) | 1069.97 | − | 515.269i | 0.0805241 | − | 0.0387784i | ||||
\(562\) | −1444.54 | + | 19276.0i | −0.108424 | + | 1.44681i | ||||
\(563\) | −5685.68 | + | 1753.80i | −0.425618 | + | 0.131286i | −0.500162 | − | 0.865932i | \(-0.666726\pi\) |
0.0745438 | + | 0.997218i | \(0.476250\pi\) | |||||||
\(564\) | −19192.9 | + | 5920.21i | −1.43292 | + | 0.441996i | ||||
\(565\) | −17.4649 | + | 233.053i | −0.00130045 | + | 0.0173533i | ||||
\(566\) | −27986.8 | + | 13477.7i | −2.07839 | + | 1.00090i | ||||
\(567\) | 24683.8 | − | 12043.3i | 1.82826 | − | 0.892013i | ||||
\(568\) | 623.816 | + | 300.414i | 0.0460823 | + | 0.0221921i | ||||
\(569\) | −559.605 | + | 969.265i | −0.0412300 | + | 0.0714125i | −0.885904 | − | 0.463869i | \(-0.846461\pi\) |
0.844674 | + | 0.535281i | \(0.179794\pi\) | |||||||
\(570\) | 1290.04 | + | 2234.41i | 0.0947959 | + | 0.164191i | ||||
\(571\) | 1029.47 | + | 13737.4i | 0.0754502 | + | 1.00681i | 0.898537 | + | 0.438898i | \(0.144631\pi\) |
−0.823087 | + | 0.567916i | \(0.807750\pi\) | |||||||
\(572\) | −281.895 | − | 718.257i | −0.0206060 | − | 0.0525032i | ||||
\(573\) | 2830.75 | − | 12402.3i | 0.206381 | − | 0.904213i | ||||
\(574\) | 2379.57 | − | 2230.72i | 0.173034 | − | 0.162210i | ||||
\(575\) | −5581.93 | − | 24456.0i | −0.404839 | − | 1.77372i | ||||
\(576\) | −22042.6 | + | 15028.4i | −1.59451 | + | 1.08712i | ||||
\(577\) | −13175.9 | + | 12225.4i | −0.950639 | + | 0.882064i | −0.993128 | − | 0.117033i | \(-0.962662\pi\) |
0.0424890 | + | 0.999097i | \(0.486471\pi\) | |||||||
\(578\) | −15687.9 | − | 2364.57i | −1.12895 | − | 0.170161i | ||||
\(579\) | −15484.1 | − | 14367.2i | −1.11140 | − | 1.03123i | ||||
\(580\) | 999.348 | + | 1253.14i | 0.0715443 | + | 0.0897137i | ||||
\(581\) | 4162.31 | − | 649.199i | 0.297215 | − | 0.0463568i | ||||
\(582\) | −11067.8 | + | 13878.6i | −0.788274 | + | 0.988464i | ||||
\(583\) | −2730.18 | + | 411.509i | −0.193950 | + | 0.0292332i | ||||
\(584\) | −363.792 | − | 248.029i | −0.0257771 | − | 0.0175745i | ||||
\(585\) | 495.528 | − | 1262.58i | 0.0350214 | − | 0.0892332i | ||||
\(586\) | 34231.4 | + | 10559.0i | 2.41312 | + | 0.744348i | ||||
\(587\) | 13078.6 | 0.919614 | 0.459807 | − | 0.888019i | \(-0.347919\pi\) | ||||
0.459807 | + | 0.888019i | \(0.347919\pi\) | |||||||
\(588\) | 5074.83 | − | 23334.1i | 0.355923 | − | 1.63654i | ||||
\(589\) | −19743.9 | −1.38121 | ||||||||
\(590\) | −1365.55 | − | 421.215i | −0.0952859 | − | 0.0293918i | ||||
\(591\) | 8574.81 | − | 21848.3i | 0.596820 | − | 1.52067i | ||||
\(592\) | 12296.1 | + | 8383.32i | 0.853658 | + | 0.582014i | ||||
\(593\) | 5760.23 | − | 868.215i | 0.398894 | − | 0.0601236i | 0.0534680 | − | 0.998570i | \(-0.482972\pi\) |
0.345426 | + | 0.938446i | \(0.387734\pi\) | |||||||
\(594\) | −3495.74 | + | 4383.52i | −0.241468 | + | 0.302791i | ||||
\(595\) | 396.931 | − | 273.613i | 0.0273488 | − | 0.0188521i | ||||
\(596\) | −4247.34 | − | 5326.00i | −0.291909 | − | 0.366043i | ||||
\(597\) | 20370.9 | + | 18901.4i | 1.39652 | + | 1.29578i | ||||
\(598\) | −19213.8 | − | 2896.02i | −1.31390 | − | 0.198039i | ||||
\(599\) | −1904.77 | + | 1767.37i | −0.129928 | + | 0.120556i | −0.742461 | − | 0.669890i | \(-0.766341\pi\) |
0.612532 | + | 0.790445i | \(0.290151\pi\) | |||||||
\(600\) | 2427.44 | − | 1655.00i | 0.165166 | − | 0.112609i | ||||
\(601\) | 2569.22 | + | 11256.5i | 0.174377 | + | 0.763997i | 0.984162 | + | 0.177270i | \(0.0567266\pi\) |
−0.809785 | + | 0.586727i | \(0.800416\pi\) | |||||||
\(602\) | 15896.4 | + | 10719.1i | 1.07623 | + | 0.725708i | ||||
\(603\) | 6093.45 | − | 26697.2i | 0.411517 | − | 1.80297i | ||||
\(604\) | −1810.46 | − | 4612.97i | −0.121964 | − | 0.310760i | ||||
\(605\) | −86.8198 | − | 1158.53i | −0.00583426 | − | 0.0778527i | ||||
\(606\) | 10735.6 | + | 18594.6i | 0.719644 | + | 1.24646i | ||||
\(607\) | −7194.85 | + | 12461.8i | −0.481104 | + | 0.833296i | −0.999765 | − | 0.0216838i | \(-0.993097\pi\) |
0.518661 | + | 0.854980i | \(0.326431\pi\) | |||||||
\(608\) | 17663.3 | + | 8506.21i | 1.17819 | + | 0.567388i | ||||
\(609\) | −38916.1 | − | 18496.0i | −2.58943 | − | 1.23070i | ||||
\(610\) | 1340.93 | − | 645.757i | 0.0890043 | − | 0.0428622i | ||||
\(611\) | 529.267 | − | 7062.58i | 0.0350440 | − | 0.467629i | ||||
\(612\) | −12918.3 | + | 3984.77i | −0.853255 | + | 0.263194i | ||||
\(613\) | −16421.4 | + | 5065.32i | −1.08198 | + | 0.333746i | −0.783959 | − | 0.620813i | \(-0.786803\pi\) |
−0.298020 | + | 0.954559i | \(0.596326\pi\) | |||||||
\(614\) | 1593.99 | − | 21270.3i | 0.104769 | − | 1.39805i | ||||
\(615\) | −338.811 | + | 163.163i | −0.0222149 | + | 0.0106982i | ||||
\(616\) | −44.9922 | − | 192.569i | −0.00294283 | − | 0.0125955i | ||||
\(617\) | −7748.41 | − | 3731.44i | −0.505574 | − | 0.243472i | 0.163669 | − | 0.986515i | \(-0.447667\pi\) |
−0.669243 | + | 0.743044i | \(0.733381\pi\) | |||||||
\(618\) | −16785.6 | + | 29073.4i | −1.09258 | + | 1.89240i | ||||
\(619\) | 4505.40 | + | 7803.58i | 0.292548 | + | 0.506708i | 0.974412 | − | 0.224771i | \(-0.0721635\pi\) |
−0.681863 | + | 0.731480i | \(0.738830\pi\) | |||||||
\(620\) | 122.214 | + | 1630.83i | 0.00791648 | + | 0.105638i | ||||
\(621\) | 24720.5 | + | 62986.7i | 1.59742 | + | 4.07016i | ||||
\(622\) | 8941.22 | − | 39174.1i | 0.576383 | − | 2.52530i | ||||
\(623\) | 7242.71 | − | 18735.9i | 0.465767 | − | 1.20487i | ||||
\(624\) | −3548.90 | − | 15548.7i | −0.227676 | − | 0.997512i | ||||
\(625\) | 12667.8 | − | 8636.78i | 0.810741 | − | 0.552754i | ||||
\(626\) | 19202.5 | − | 17817.3i | 1.22602 | − | 1.13758i | ||||
\(627\) | 3140.22 | + | 473.313i | 0.200014 | + | 0.0301472i | ||||
\(628\) | 1637.60 | + | 1519.47i | 0.104056 | + | 0.0965501i | ||||
\(629\) | 3972.85 | + | 4981.80i | 0.251841 | + | 0.315798i | ||||
\(630\) | −1987.44 | + | 3483.45i | −0.125685 | + | 0.220292i | ||||
\(631\) | −14002.2 | + | 17558.2i | −0.883389 | + | 1.10774i | 0.110112 | + | 0.993919i | \(0.464879\pi\) |
−0.993502 | + | 0.113816i | \(0.963692\pi\) | |||||||
\(632\) | −465.304 | + | 70.1333i | −0.0292861 | + | 0.00441416i | ||||
\(633\) | −2260.89 | − | 1541.45i | −0.141963 | − | 0.0967884i | ||||
\(634\) | 2756.59 | − | 7023.68i | 0.172678 | − | 0.439978i | ||||
\(635\) | 308.917 | + | 95.2884i | 0.0193055 | + | 0.00595497i | ||||
\(636\) | 45023.5 | 2.80707 | ||||||||
\(637\) | 7005.48 | + | 4671.81i | 0.435741 | + | 0.290587i | ||||
\(638\) | 4116.71 | 0.255458 | ||||||||
\(639\) | −16515.5 | − | 5094.35i | −1.02244 | − | 0.315382i | ||||
\(640\) | −103.176 | + | 262.887i | −0.00637246 | + | 0.0162368i | ||||
\(641\) | 17758.1 | + | 12107.3i | 1.09423 | + | 0.746034i | 0.969238 | − | 0.246124i | \(-0.0791570\pi\) |
0.124992 | + | 0.992158i | \(0.460109\pi\) | |||||||
\(642\) | −44669.2 | + | 6732.80i | −2.74603 | + | 0.413898i | ||||
\(643\) | −3315.75 | + | 4157.82i | −0.203360 | + | 0.255005i | −0.873045 | − | 0.487640i | \(-0.837858\pi\) |
0.669685 | + | 0.742645i | \(0.266429\pi\) | |||||||
\(644\) | 26352.0 | + | 7980.86i | 1.61244 | + | 0.488339i | ||||
\(645\) | −1378.23 | − | 1728.24i | −0.0841359 | − | 0.105503i | ||||
\(646\) | 6647.27 | + | 6167.76i | 0.404850 | + | 0.375646i | ||||
\(647\) | 14122.6 | + | 2128.65i | 0.858143 | + | 0.129344i | 0.563351 | − | 0.826217i | \(-0.309512\pi\) |
0.294791 | + | 0.955562i | \(0.404750\pi\) | |||||||
\(648\) | −2718.87 | + | 2522.74i | −0.164826 | + | 0.152936i | ||||
\(649\) | −1453.30 | + | 990.843i | −0.0878999 | + | 0.0599291i | ||||
\(650\) | −2659.56 | − | 11652.3i | −0.160487 | − | 0.703140i | ||||
\(651\) | −22176.6 | − | 37960.4i | −1.33513 | − | 2.28538i | ||||
\(652\) | −1488.56 | + | 6521.82i | −0.0894120 | + | 0.391739i | ||||
\(653\) | −9368.61 | − | 23870.8i | −0.561443 | − | 1.43053i | −0.876473 | − | 0.481451i | \(-0.840110\pi\) |
0.315030 | − | 0.949082i | \(-0.397985\pi\) | |||||||
\(654\) | −1233.42 | − | 16458.9i | −0.0737470 | − | 0.984086i | ||||
\(655\) | −348.886 | − | 604.288i | −0.0208124 | − | 0.0360481i | ||||
\(656\) | −1543.42 | + | 2673.28i | −0.0918602 | + | 0.159106i | ||||
\(657\) | 9902.34 | + | 4768.72i | 0.588017 | + | 0.283174i | ||||
\(658\) | −4555.29 | + | 20440.3i | −0.269884 | + | 1.21101i | ||||
\(659\) | 11261.6 | − | 5423.29i | 0.665689 | − | 0.320579i | −0.0703460 | − | 0.997523i | \(-0.522410\pi\) |
0.736035 | + | 0.676944i | \(0.236696\pi\) | |||||||
\(660\) | 19.6573 | − | 262.309i | 0.00115934 | − | 0.0154703i | ||||
\(661\) | 14793.5 | − | 4563.19i | 0.870499 | − | 0.268513i | 0.172846 | − | 0.984949i | \(-0.444704\pi\) |
0.697653 | + | 0.716435i | \(0.254228\pi\) | |||||||
\(662\) | 22176.9 | − | 6840.67i | 1.30201 | − | 0.401616i | ||||
\(663\) | 510.305 | − | 6809.55i | 0.0298923 | − | 0.398885i | ||||
\(664\) | −512.549 | + | 246.831i | −0.0299560 | + | 0.0144260i | ||||
\(665\) | 1289.16 | − | 6.60621i | 0.0751752 | − | 0.000385230i | ||||
\(666\) | −47758.4 | − | 22999.2i | −2.77868 | − | 1.33814i | ||||
\(667\) | 24840.9 | − | 43025.8i | 1.44205 | − | 2.49770i | ||||
\(668\) | −634.661 | − | 1099.27i | −0.0367602 | − | 0.0636704i | ||||
\(669\) | 1504.65 | + | 20078.2i | 0.0869556 | + | 1.16034i | ||||
\(670\) | 555.837 | + | 1416.25i | 0.0320506 | + | 0.0816635i | ||||
\(671\) | 407.637 | − | 1785.98i | 0.0234526 | − | 0.102752i | ||||
\(672\) | 3485.27 | + | 43514.3i | 0.200070 | + | 2.49792i | ||||
\(673\) | 5542.03 | + | 24281.2i | 0.317429 | + | 1.39075i | 0.842045 | + | 0.539407i | \(0.181351\pi\) |
−0.524617 | + | 0.851339i | \(0.675791\pi\) | |||||||
\(674\) | −35214.9 | + | 24009.1i | −2.01250 | + | 1.37210i | ||||
\(675\) | −30509.8 | + | 28309.0i | −1.73974 | + | 1.61424i | ||||
\(676\) | 11606.2 | + | 1749.36i | 0.660346 | + | 0.0995312i | ||||
\(677\) | −7111.16 | − | 6598.19i | −0.403699 | − | 0.374578i | 0.452030 | − | 0.892003i | \(-0.350700\pi\) |
−0.855729 | + | 0.517425i | \(0.826891\pi\) | |||||||
\(678\) | −6102.85 | − | 7652.73i | −0.345691 | − | 0.433483i | ||||
\(679\) | 3282.77 | + | 8239.94i | 0.185539 | + | 0.465714i | ||||
\(680\) | −40.5916 | + | 50.9002i | −0.00228914 | + | 0.00287049i | ||||
\(681\) | −32482.0 | + | 4895.88i | −1.82777 | + | 0.275493i | ||||
\(682\) | 3470.50 | + | 2366.15i | 0.194857 | + | 0.132851i | ||||
\(683\) | −5977.12 | + | 15229.5i | −0.334858 | + | 0.853205i | 0.659938 | + | 0.751320i | \(0.270583\pi\) |
−0.994796 | + | 0.101885i | \(0.967513\pi\) | |||||||
\(684\) | −34544.9 | − | 10655.7i | −1.93108 | − | 0.595659i | ||||
\(685\) | 320.110 | 0.0178551 | ||||||||
\(686\) | −18509.7 | − | 16652.3i | −1.03018 | − | 0.926806i | ||||
\(687\) | 54979.6 | 3.05328 | ||||||||
\(688\) | −17338.9 | − | 5348.33i | −0.960810 | − | 0.296371i | ||||
\(689\) | −5800.19 | + | 14778.6i | −0.320710 | + | 0.817157i | ||||
\(690\) | −5473.16 | − | 3731.54i | −0.301971 | − | 0.205880i | ||||
\(691\) | −26303.5 | + | 3964.62i | −1.44810 | + | 0.218265i | −0.825555 | − | 0.564322i | \(-0.809138\pi\) |
−0.622541 | + | 0.782588i | \(0.713899\pi\) | |||||||
\(692\) | 12932.1 | − | 16216.3i | 0.710411 | − | 0.890828i | ||||
\(693\) | 1826.99 | + | 4585.85i | 0.100147 | + | 0.251374i | ||||
\(694\) | 20781.1 | + | 26058.6i | 1.13666 | + | 1.42532i | ||||
\(695\) | −1539.90 | − | 1428.82i | −0.0840458 | − | 0.0779831i | ||||
\(696\) | 5753.73 | + | 867.235i | 0.313354 | + | 0.0472305i | ||||
\(697\) | −968.856 | + | 898.967i | −0.0526514 | + | 0.0488534i | ||||
\(698\) | −29439.7 | + | 20071.6i | −1.59643 | + | 1.08843i | ||||
\(699\) | −270.142 | − | 1183.57i | −0.0146176 | − | 0.0640440i | ||||
\(700\) | 1352.17 | + | 16882.2i | 0.0730105 | + | 0.911551i | ||||
\(701\) | −665.675 | + | 2916.51i | −0.0358662 | + | 0.157140i | −0.989690 | − | 0.143227i | \(-0.954252\pi\) |
0.953824 | + | 0.300367i | \(0.0971092\pi\) | |||||||
\(702\) | 11778.3 | + | 30010.6i | 0.633252 | + | 1.61350i | ||||
\(703\) | 1273.35 | + | 16991.6i | 0.0683146 | + | 0.911595i | ||||
\(704\) | −912.200 | − | 1579.98i | −0.0488350 | − | 0.0845847i | ||||
\(705\) | 1207.23 | − | 2090.98i | 0.0644921 | − | 0.111704i | ||||
\(706\) | 72.4264 | + | 34.8787i | 0.00386091 | + | 0.00185932i | ||||
\(707\) | 10728.3 | − | 54.9766i | 0.570694 | − | 0.00292448i | ||||
\(708\) | 25842.2 | − | 12444.9i | 1.37176 | − | 0.660607i | ||||
\(709\) | 161.805 | − | 2159.14i | 0.00857084 | − | 0.114370i | −0.991277 | − | 0.131792i | \(-0.957927\pi\) |
0.999848 | + | 0.0174222i | \(0.00554594\pi\) | |||||||
\(710\) | 917.588 | − | 283.038i | 0.0485021 | − | 0.0149609i | ||||
\(711\) | 11224.3 | − | 3462.23i | 0.592044 | − | 0.182622i | ||||
\(712\) | −202.714 | + | 2705.03i | −0.0106700 | + | 0.142381i | ||||
\(713\) | 45671.4 | − | 21994.2i | 2.39889 | − | 1.15524i | ||||
\(714\) | −4392.08 | + | 19707.9i | −0.230209 | + | 1.03299i | ||||
\(715\) | 83.5686 | + | 40.2445i | 0.00437103 | + | 0.00210498i | ||||
\(716\) | 4169.27 | − | 7221.39i | 0.217616 | − | 0.376922i | ||||
\(717\) | −20793.0 | − | 36014.5i | −1.08302 | − | 1.87585i | ||||
\(718\) | −1227.27 | − | 16376.8i | −0.0637903 | − | 0.851223i | ||||
\(719\) | −90.9415 | − | 231.715i | −0.00471703 | − | 0.0120188i | 0.928496 | − | 0.371343i | \(-0.121103\pi\) |
−0.933213 | + | 0.359324i | \(0.883007\pi\) | |||||||
\(720\) | 844.590 | − | 3700.39i | 0.0437167 | − | 0.191535i | ||||
\(721\) | 8461.53 | + | 14483.9i | 0.437065 | + | 0.748139i | ||||
\(722\) | −586.284 | − | 2568.68i | −0.0302206 | − | 0.132405i | ||||
\(723\) | 17582.2 | − | 11987.4i | 0.904413 | − | 0.616618i | ||||
\(724\) | 20146.5 | − | 18693.3i | 1.03417 | − | 0.959571i | ||||
\(725\) | 30218.1 | + | 4554.64i | 1.54796 | + | 0.233318i | ||||
\(726\) | 35668.9 | + | 33095.9i | 1.82341 | + | 1.69188i | ||||
\(727\) | −9358.31 | − | 11734.9i | −0.477415 | − | 0.598659i | 0.483555 | − | 0.875314i | \(-0.339345\pi\) |
−0.960969 | + | 0.276655i | \(0.910774\pi\) | |||||||
\(728\) | −1088.30 | − | 329.597i | −0.0554051 | − | 0.0167798i | ||||
\(729\) | 4383.76 | − | 5497.06i | 0.222718 | − | 0.279280i | ||||
\(730\) | −603.819 | + | 91.0111i | −0.0306142 | + | 0.00461434i | ||||
\(731\) | −6419.10 | − | 4376.47i | −0.324786 | − | 0.221436i | ||||
\(732\) | −10913.7 | + | 27807.6i | −0.551067 | + | 1.40410i | ||||
\(733\) | −8211.36 | − | 2532.87i | −0.413770 | − | 0.127631i | 0.0808790 | − | 0.996724i | \(-0.474227\pi\) |
−0.494649 | + | 0.869093i | \(0.664703\pi\) | |||||||
\(734\) | 13860.6 | 0.697008 | ||||||||
\(735\) | 1460.70 | + | 2471.16i | 0.0733043 | + | 0.124014i | ||||
\(736\) | −50334.3 | −2.52085 | ||||||||
\(737\) | 1789.45 | + | 551.973i | 0.0894374 | + | 0.0275878i | ||||
\(738\) | 4016.90 | − | 10234.9i | 0.200358 | − | 0.510503i | ||||
\(739\) | −6438.31 | − | 4389.57i | −0.320483 | − | 0.218502i | 0.392383 | − | 0.919802i | \(-0.371651\pi\) |
−0.712866 | + | 0.701300i | \(0.752603\pi\) | |||||||
\(740\) | 1395.61 | − | 210.354i | 0.0693292 | − | 0.0104497i | ||||
\(741\) | 11385.2 | − | 14276.6i | 0.564436 | − | 0.707780i | ||||
\(742\) | 23263.2 | − | 40774.1i | 1.15097 | − | 2.01734i | ||||
\(743\) | −3615.48 | − | 4533.67i | −0.178518 | − | 0.223855i | 0.684519 | − | 0.728995i | \(-0.260012\pi\) |
−0.863037 | + | 0.505140i | \(0.831441\pi\) | |||||||
\(744\) | 4352.10 | + | 4038.16i | 0.214457 | + | 0.198987i | ||||
\(745\) | 809.756 | + | 122.051i | 0.0398217 | + | 0.00600216i | ||||
\(746\) | −15353.0 | + | 14245.5i | −0.753505 | + | 0.699150i | ||||
\(747\) | 11733.1 | − | 7999.47i | 0.574686 | − | 0.391814i | ||||
\(748\) | −205.720 | − | 901.319i | −0.0100560 | − | 0.0440581i | ||||
\(749\) | −8138.64 | + | 21053.5i | −0.397036 | + | 1.02707i | ||||
\(750\) | 1819.06 | − | 7969.84i | 0.0885637 | − | 0.388023i | ||||
\(751\) | −5780.81 | − | 14729.3i | −0.280885 | − | 0.715684i | −0.999788 | − | 0.0205736i | \(-0.993451\pi\) |
0.718903 | − | 0.695110i | \(-0.244644\pi\) | |||||||
\(752\) | −1481.09 | − | 19763.7i | −0.0718214 | − | 0.958390i | ||||
\(753\) | 14265.3 | + | 24708.2i | 0.690381 | + | 1.19577i | ||||
\(754\) | 11835.7 | − | 20500.0i | 0.571658 | − | 0.990141i | ||||
\(755\) | 536.716 | + | 258.469i | 0.0258716 | + | 0.0124591i | ||||
\(756\) | −10393.7 | − | 44485.6i | −0.500019 | − | 2.14012i | ||||
\(757\) | −11045.4 | + | 5319.17i | −0.530318 | + | 0.255388i | −0.679827 | − | 0.733373i | \(-0.737945\pi\) |
0.149509 | + | 0.988760i | \(0.452231\pi\) | |||||||
\(758\) | −2667.48 | + | 35595.0i | −0.127819 | + | 1.70563i | ||||
\(759\) | −7791.19 | + | 2403.26i | −0.372598 | + | 0.114931i | ||||
\(760\) | −166.360 | + | 51.3152i | −0.00794014 | + | 0.00244921i | ||||
\(761\) | 1762.98 | − | 23525.3i | 0.0839788 | − | 1.12062i | −0.782916 | − | 0.622128i | \(-0.786269\pi\) |
0.866895 | − | 0.498491i | \(-0.166112\pi\) | |||||||
\(762\) | −12198.9 | + | 5874.68i | −0.579947 | + | 0.279288i | ||||
\(763\) | −7448.54 | − | 3540.12i | −0.353415 | − | 0.167970i | ||||
\(764\) | −8922.48 | − | 4296.84i | −0.422518 | − | 0.203474i | ||||
\(765\) | 812.562 | − | 1407.40i | 0.0384029 | − | 0.0665158i | ||||
\(766\) | 13406.3 | + | 23220.4i | 0.632361 | + | 1.09528i | ||||
\(767\) | 755.821 | + | 10085.7i | 0.0355816 | + | 0.474804i | ||||
\(768\) | −16132.3 | − | 41104.5i | −0.757975 | − | 1.93129i | ||||
\(769\) | −7987.33 | + | 34994.8i | −0.374552 | + | 1.64102i | 0.339267 | + | 0.940690i | \(0.389821\pi\) |
−0.713819 | + | 0.700330i | \(0.753036\pi\) | |||||||
\(770\) | −227.395 | − | 153.334i | −0.0106425 | − | 0.00717634i | ||||
\(771\) | −11078.9 | − | 48539.8i | −0.517505 | − | 2.26734i | ||||
\(772\) | −13586.4 | + | 9263.04i | −0.633400 | + | 0.431845i | ||||
\(773\) | −12974.1 | + | 12038.2i | −0.603684 | + | 0.560137i | −0.921678 | − | 0.387956i | \(-0.873181\pi\) |
0.317994 | + | 0.948093i | \(0.396991\pi\) | |||||||
\(774\) | 63908.4 | + | 9632.64i | 2.96788 | + | 0.447336i | ||||
\(775\) | 22856.9 | + | 21208.1i | 1.05941 | + | 0.982989i | ||||
\(776\) | −746.817 | − | 936.479i | −0.0345479 | − | 0.0433217i | ||||
\(777\) | −31238.4 | + | 21533.3i | −1.44231 | + | 0.994213i | ||||
\(778\) | 987.209 | − | 1237.92i | 0.0454925 | − | 0.0570458i | ||||
\(779\) | −3494.82 | + | 526.759i | −0.160738 | + | 0.0242274i | ||||
\(780\) | −1249.71 | − | 852.037i | −0.0573676 | − | 0.0391126i | ||||
\(781\) | 431.807 | − | 1100.23i | 0.0197839 | − | 0.0504087i | ||||
\(782\) | −22247.1 | − | 6862.32i | −1.01733 | − | 0.313806i | ||||
\(783\) | −82430.8 | −3.76224 | ||||||||
\(784\) | 21333.5 | + | 10005.6i | 0.971824 | + | 0.455796i | ||||
\(785\) | −268.545 | −0.0122099 | ||||||||
\(786\) | 27926.1 | + | 8614.05i | 1.26729 | + | 0.390907i | ||||
\(787\) | −3596.67 | + | 9164.16i | −0.162906 | + | 0.415079i | −0.988896 | − | 0.148606i | \(-0.952521\pi\) |
0.825990 | + | 0.563685i | \(0.190617\pi\) | |||||||
\(788\) | −15096.5 | − | 10292.6i | −0.682477 | − | 0.465305i | ||||
\(789\) | 7196.81 | − | 1084.74i | 0.324731 | − | 0.0489454i | ||||
\(790\) | −406.894 | + | 510.229i | −0.0183248 | + | 0.0229786i | ||||
\(791\) | −4832.43 | + | 753.717i | −0.217220 | + | 0.0338800i | ||||
\(792\) | −415.633 | − | 521.188i | −0.0186476 | − | 0.0233833i | ||||
\(793\) | −7721.67 | − | 7164.67i | −0.345781 | − | 0.320838i | ||||
\(794\) | −25154.3 | − | 3791.41i | −1.12430 | − | 0.169461i | ||||
\(795\) | −3967.52 | + | 3681.32i | −0.176998 | + | 0.164230i | ||||
\(796\) | 17874.2 | − | 12186.4i | 0.795896 | − | 0.542633i | ||||
\(797\) | −1149.41 | − | 5035.91i | −0.0510845 | − | 0.223816i | 0.942942 | − | 0.332958i | \(-0.108047\pi\) |
−0.994026 | + | 0.109142i | \(0.965190\pi\) | |||||||
\(798\) | −39391.7 | + | 36927.6i | −1.74743 | + | 1.63812i | ||||
\(799\) | 1888.29 | − | 8273.12i | 0.0836079 | − | 0.366310i | ||||
\(800\) | −11311.2 | − | 28820.5i | −0.499890 | − | 1.27370i | ||||
\(801\) | −5060.15 | − | 67523.1i | −0.223211 | − | 2.97854i | ||||
\(802\) | −16944.1 | − | 29348.1i | −0.746033 | − | 1.29217i | ||||
\(803\) | −375.804 | + | 650.912i | −0.0165154 | + | 0.0286055i | ||||
\(804\) | −27512.9 | − | 13249.5i | −1.20685 | − | 0.581187i | ||||
\(805\) | −2974.71 | + | 1451.37i | −0.130242 | + | 0.0635455i | ||||
\(806\) | 21760.6 | − | 10479.3i | 0.950972 | − | 0.457964i | ||||
\(807\) | −4693.68 | + | 62632.7i | −0.204740 | + | 2.73207i | ||||
\(808\) | −1384.44 | + | 427.043i | −0.0602777 | + | 0.0185932i | ||||
\(809\) | 19608.5 | − | 6048.41i | 0.852160 | − | 0.262856i | 0.162248 | − | 0.986750i | \(-0.448126\pi\) |
0.689912 | + | 0.723894i | \(0.257649\pi\) | |||||||
\(810\) | −384.402 | + | 5129.49i | −0.0166747 | + | 0.222508i | ||||
\(811\) | 28813.9 | − | 13876.0i | 1.24759 | − | 0.600806i | 0.310723 | − | 0.950501i | \(-0.399429\pi\) |
0.936864 | + | 0.349694i | \(0.113715\pi\) | |||||||
\(812\) | −20779.0 | + | 26331.7i | −0.898030 | + | 1.13801i | ||||
\(813\) | −4824.56 | − | 2323.39i | −0.208124 | − | 0.100227i | ||||
\(814\) | 1812.48 | − | 3139.31i | 0.0780436 | − | 0.135176i | ||||
\(815\) | −402.078 | − | 696.420i | −0.0172812 | − | 0.0299319i | ||||
\(816\) | −1428.02 | − | 19055.6i | −0.0612633 | − | 0.817501i | ||||
\(817\) | −7590.05 | − | 19339.1i | −0.325021 | − | 0.828141i | ||||
\(818\) | −10994.3 | + | 48169.1i | −0.469934 | + | 2.05892i | ||||
\(819\) | 28088.9 | + | 4086.62i | 1.19842 | + | 0.174357i | ||||
\(820\) | 65.1425 | + | 285.408i | 0.00277424 | + | 0.0121547i | ||||
\(821\) | 26189.2 | − | 17855.5i | 1.11329 | − | 0.759027i | 0.140352 | − | 0.990102i | \(-0.455176\pi\) |
0.972936 | + | 0.231074i | \(0.0742241\pi\) | |||||||
\(822\) | −9828.02 | + | 9119.07i | −0.417021 | + | 0.386939i | ||||
\(823\) | −15215.3 | − | 2293.34i | −0.644437 | − | 0.0971332i | −0.181311 | − | 0.983426i | \(-0.558034\pi\) |
−0.463126 | + | 0.886293i | \(0.653272\pi\) | |||||||
\(824\) | −1660.56 | − | 1540.77i | −0.0702041 | − | 0.0651399i | ||||
\(825\) | −3126.92 | − | 3921.03i | −0.131958 | − | 0.165470i | ||||
\(826\) | 2082.02 | − | 29833.3i | 0.0877030 | − | 1.25670i | ||||
\(827\) | −12778.1 | + | 16023.2i | −0.537290 | + | 0.673740i | −0.974179 | − | 0.225775i | \(-0.927509\pi\) |
0.436890 | + | 0.899515i | \(0.356080\pi\) | |||||||
\(828\) | 91779.1 | − | 13833.5i | 3.85211 | − | 0.580611i | ||||
\(829\) | −30062.0 | − | 20495.9i | −1.25946 | − | 0.858688i | −0.265049 | − | 0.964235i | \(-0.585388\pi\) |
−0.994414 | + | 0.105547i | \(0.966341\pi\) | |||||||
\(830\) | −288.245 | + | 734.436i | −0.0120544 | + | 0.0307140i | ||||
\(831\) | −46990.9 | − | 14494.8i | −1.96161 | − | 0.605076i | ||||
\(832\) | −10490.4 | −0.437128 | ||||||||
\(833\) | 7465.70 | + | 6786.11i | 0.310530 | + | 0.282262i | ||||
\(834\) | 87981.4 | 3.65293 | ||||||||
\(835\) | 145.808 | + | 44.9757i | 0.00604297 | + | 0.00186401i | ||||
\(836\) | 903.197 | − | 2301.31i | 0.0373657 | − | 0.0952063i | ||||
\(837\) | −69491.5 | − | 47378.5i | −2.86975 | − | 1.95656i | ||||
\(838\) | 19250.5 | − | 2901.54i | 0.793551 | − | 0.119609i | ||||
\(839\) | −2216.59 | + | 2779.51i | −0.0912099 | + | 0.114374i | −0.825342 | − | 0.564633i | \(-0.809018\pi\) |
0.734132 | + | 0.679006i | \(0.237589\pi\) | |||||||
\(840\) | −285.517 | − | 262.211i | −0.0117277 | − | 0.0107704i | ||||
\(841\) | 22529.9 | + | 28251.7i | 0.923775 | + | 1.15838i | ||||
\(842\) | 10858.0 | + | 10074.7i | 0.444407 | + | 0.412350i | ||||
\(843\) | 46118.6 | + | 6951.26i | 1.88423 | + | 0.284003i | ||||
\(844\) | −1561.54 | + | 1448.90i | −0.0636855 | + | 0.0590915i | ||||
\(845\) | −1165.79 | + | 794.821i | −0.0474608 | + | 0.0323582i | ||||
\(846\) | 15708.5 | + | 68823.5i | 0.638381 | + | 2.79693i | ||||
\(847\) | 23195.7 | − | 7285.31i | 0.940985 | − | 0.295544i | ||||
\(848\) | −9885.98 | + | 43313.3i | −0.400337 | + | 1.75399i | ||||
\(849\) | 27381.8 | + | 69767.8i | 1.10688 | + | 2.82029i | ||||
\(850\) | −1070.17 | − | 14280.4i | −0.0431841 | − | 0.576252i | ||||
\(851\) | −21873.7 | − | 37886.3i | −0.881105 | − | 1.52612i | ||||
\(852\) | −9636.76 | + | 16691.4i | −0.387500 | + | 0.671169i | ||||
\(853\) | 28971.7 | + | 13952.0i | 1.16292 | + | 0.560033i | 0.912890 | − | 0.408205i | \(-0.133845\pi\) |
0.250030 | + | 0.968238i | \(0.419560\pi\) | |||||||
\(854\) | 19544.1 | + | 24251.5i | 0.783120 | + | 0.971744i | ||||
\(855\) | 3915.39 | − | 1885.55i | 0.156612 | − | 0.0754204i | ||||
\(856\) | 227.790 | − | 3039.65i | 0.00909544 | − | 0.121370i | ||||
\(857\) | 36412.3 | − | 11231.7i | 1.45137 | − | 0.447688i | 0.533917 | − | 0.845537i | \(-0.320720\pi\) |
0.917451 | + | 0.397850i | \(0.130243\pi\) | |||||||
\(858\) | −3712.18 | + | 1145.06i | −0.147706 | + | 0.0455613i | ||||
\(859\) | 1626.18 | − | 21699.9i | 0.0645920 | − | 0.861920i | −0.866975 | − | 0.498351i | \(-0.833939\pi\) |
0.931567 | − | 0.363569i | \(-0.118442\pi\) | |||||||
\(860\) | −1550.41 | + | 746.639i | −0.0614751 | + | 0.0296048i | ||||
\(861\) | −4938.18 | − | 6127.60i | −0.195462 | − | 0.242541i | ||||
\(862\) | −24699.2 | − | 11894.5i | −0.975937 | − | 0.469986i | ||||
\(863\) | −5531.43 | + | 9580.72i | −0.218183 | + | 0.377904i | −0.954253 | − | 0.299002i | \(-0.903346\pi\) |
0.736069 | + | 0.676906i | \(0.236680\pi\) | |||||||
\(864\) | 41756.6 | + | 72324.6i | 1.64420 | + | 2.84784i | ||||
\(865\) | 186.329 | + | 2486.38i | 0.00732412 | + | 0.0977336i | ||||
\(866\) | 10310.5 | + | 26270.8i | 0.404579 | + | 1.03085i | ||||
\(867\) | −8517.96 | + | 37319.6i | −0.333662 | + | 1.46187i | ||||
\(868\) | −32651.9 | + | 10255.3i | −1.27682 | + | 0.401023i | ||||
\(869\) | 178.743 | + | 783.125i | 0.00697750 | + | 0.0305704i | ||||
\(870\) | 6667.60 | − | 4545.89i | 0.259831 | − | 0.177150i | ||||
\(871\) | 7893.41 | − | 7324.02i | 0.307070 | − | 0.284920i | ||||
\(872\) | 1101.26 | + | 165.989i | 0.0427677 | + | 0.00644619i | ||||
\(873\) | 21918.0 | + | 20336.9i | 0.849726 | + | 0.788430i | ||||
\(874\) | −38816.6 | − | 48674.4i | −1.50228 | − | 1.88380i | ||||
\(875\) | −3008.48 | − | 2762.91i | −0.116234 | − | 0.106747i | ||||
\(876\) | 7641.72 | − | 9582.42i | 0.294737 | − | 0.369589i | ||||
\(877\) | −11896.4 | + | 1793.09i | −0.458052 | + | 0.0690402i | −0.374015 | − | 0.927422i | \(-0.622019\pi\) |
−0.0840364 | + | 0.996463i | \(0.526781\pi\) | |||||||
\(878\) | −35009.6 | − | 23869.1i | −1.34569 | − | 0.917476i | ||||
\(879\) | 31577.7 | − | 80458.8i | 1.21171 | − | 3.08738i | ||||
\(880\) | 248.029 | + | 76.5068i | 0.00950120 | + | 0.00293073i | ||||
\(881\) | 25428.5 | 0.972428 | 0.486214 | − | 0.873840i | \(-0.338378\pi\) | ||||
0.486214 | + | 0.873840i | \(0.338378\pi\) | |||||||
\(882\) | −80450.2 | − | 23915.5i | −3.07132 | − | 0.913011i | ||||
\(883\) | −738.549 | −0.0281474 | −0.0140737 | − | 0.999901i | \(-0.504480\pi\) | ||||
−0.0140737 | + | 0.999901i | \(0.504480\pi\) | |||||||
\(884\) | −5079.77 | − | 1566.90i | −0.193270 | − | 0.0596160i | ||||
\(885\) | −1259.69 | + | 3209.63i | −0.0478462 | + | 0.121910i | ||||
\(886\) | −4254.20 | − | 2900.47i | −0.161312 | − | 0.109981i | ||||
\(887\) | 7177.61 | − | 1081.85i | 0.271703 | − | 0.0409526i | −0.0117775 | − | 0.999931i | \(-0.503749\pi\) |
0.283481 | + | 0.958978i | \(0.408511\pi\) | |||||||
\(888\) | 3194.56 | − | 4005.85i | 0.120723 | − | 0.151382i | ||||
\(889\) | −471.000 | + | 6748.97i | −0.0177692 | + | 0.254615i | ||||
\(890\) | 2345.60 | + | 2941.29i | 0.0883424 | + | 0.110778i | ||||
\(891\) | 4641.22 | + | 4306.42i | 0.174508 | + | 0.161920i | ||||
\(892\) | 15499.2 | + | 2336.13i | 0.581784 | + | 0.0876898i | ||||
\(893\) | 16634.5 | − | 15434.6i | 0.623351 | − | 0.578385i | ||||
\(894\) | −28338.1 | + | 19320.6i | −1.06014 | + | 0.722792i | ||||
\(895\) | 223.051 | + | 977.252i | 0.00833049 | + | 0.0364983i | ||||
\(896\) | −5848.49 | − | 850.891i | −0.218063 | − | 0.0317257i | ||||
\(897\) | −10432.4 | + | 45707.4i | −0.388325 | + | 1.70136i | ||||
\(898\) | −4978.02 | − | 12683.8i | −0.184987 | − | 0.471340i | ||||
\(899\) | 4614.89 | + | 61581.5i | 0.171207 | + | 2.28460i | ||||
\(900\) | 28545.6 | + | 49442.4i | 1.05724 | + | 1.83120i | ||||
\(901\) | −9511.10 | + | 16473.7i | −0.351677 | + | 0.609122i | ||||
\(902\) | 677.432 | + | 326.234i | 0.0250067 | + | 0.0120426i | ||||
\(903\) | 28656.9 | − | 36314.8i | 1.05608 | − | 1.33830i | ||||
\(904\) | 595.068 | − | 286.569i | 0.0218934 | − | 0.0105433i | ||||
\(905\) | −246.891 | + | 3294.53i | −0.00906844 | + | 0.121010i | ||||
\(906\) | −23841.3 | + | 7354.08i | −0.874256 | + | 0.269672i | ||||
\(907\) | −5719.91 | + | 1764.36i | −0.209401 | + | 0.0645916i | −0.397681 | − | 0.917524i | \(-0.630185\pi\) |
0.188280 | + | 0.982115i | \(0.439709\pi\) | |||||||
\(908\) | −1911.01 | + | 25500.6i | −0.0698447 | + | 0.932013i | ||||
\(909\) | 32583.7 | − | 15691.5i | 1.18892 | − | 0.572555i | ||||
\(910\) | −1417.33 | + | 691.519i | −0.0516308 | + | 0.0251908i | ||||
\(911\) | 793.011 | + | 381.894i | 0.0288404 | + | 0.0138888i | 0.448248 | − | 0.893909i | \(-0.352048\pi\) |
−0.419408 | + | 0.907798i | \(0.637762\pi\) | |||||||
\(912\) | 25549.8 | − | 44253.6i | 0.927675 | − | 1.60678i | ||||
\(913\) | 485.557 | + | 841.009i | 0.0176009 | + | 0.0304856i | ||||
\(914\) | 4055.89 | + | 54122.0i | 0.146780 | + | 1.95864i | ||||
\(915\) | −1311.95 | − | 3342.78i | −0.0474006 | − | 0.120775i | ||||
\(916\) | 9523.96 | − | 41727.2i | 0.343538 | − | 1.50514i | ||||
\(917\) | 10653.3 | − | 9986.94i | 0.383647 | − | 0.359649i | ||||
\(918\) | 8595.52 | + | 37659.4i | 0.309035 | + | 1.35397i | ||||
\(919\) | 7814.07 | − | 5327.54i | 0.280481 | − | 0.191229i | −0.414906 | − | 0.909865i | \(-0.636185\pi\) |
0.695387 | + | 0.718635i | \(0.255233\pi\) | |||||||
\(920\) | 327.658 | − | 304.022i | 0.0117419 | − | 0.0108949i | ||||
\(921\) | −50890.2 | − | 7670.46i | −1.82072 | − | 0.274430i | ||||
\(922\) | 7291.84 | + | 6765.84i | 0.260460 | + | 0.241671i | ||||
\(923\) | −4237.35 | − | 5313.47i | −0.151109 | − | 0.189485i | ||||
\(924\) | 5439.06 | − | 848.333i | 0.193649 | − | 0.0302036i | ||||
\(925\) | 16777.5 | − | 21038.4i | 0.596370 | − | 0.747825i | ||||
\(926\) | −71275.1 | + | 10743.0i | −2.52942 | + | 0.381249i | ||||
\(927\) | 46720.2 | + | 31853.3i | 1.65533 | + | 1.12859i | ||||
\(928\) | 22402.3 | − | 57080.2i | 0.792449 | − | 2.01913i | ||||
\(929\) | 33320.9 | + | 10278.1i | 1.17677 | + | 0.362986i | 0.820638 | − | 0.571448i | \(-0.193618\pi\) |
0.356135 | + | 0.934435i | \(0.384094\pi\) | |||||||
\(930\) | 8233.81 | 0.290320 | ||||||||
\(931\) | 6272.65 | + | 26239.7i | 0.220814 | + | 0.923707i | ||||
\(932\) | −945.077 | −0.0332157 | ||||||||
\(933\) | −92642.7 | − | 28576.5i | −3.25079 | − | 1.00274i | ||||
\(934\) | −11828.3 | + | 30138.0i | −0.414383 | + | 1.05583i | ||||
\(935\) | 91.8240 | + | 62.6045i | 0.00321173 | + | 0.00218972i | ||||
\(936\) | −3790.33 | + | 571.300i | −0.132362 | + | 0.0199503i | ||||
\(937\) | −33170.4 | + | 41594.4i | −1.15649 | + | 1.45019i | −0.285844 | + | 0.958276i | \(0.592274\pi\) |
−0.870644 | + | 0.491914i | \(0.836297\pi\) | |||||||
\(938\) | −26214.6 | + | 18070.3i | −0.912512 | + | 0.629014i | ||||
\(939\) | −39407.0 | − | 49414.9i | −1.36954 | − | 1.71735i | ||||
\(940\) | −1377.85 | − | 1278.45i | −0.0478089 | − | 0.0443602i | ||||
\(941\) | −13097.8 | − | 1974.17i | −0.453747 | − | 0.0683913i | −0.0818069 | − | 0.996648i | \(-0.526069\pi\) |
−0.371940 | + | 0.928257i | \(0.621307\pi\) | |||||||
\(942\) | 8244.88 | − | 7650.13i | 0.285173 | − | 0.264602i | ||||
\(943\) | 7497.38 | − | 5111.63i | 0.258906 | − | 0.176519i | ||||
\(944\) | 6297.96 | + | 27593.2i | 0.217141 | + | 0.951357i | ||||
\(945\) | 4553.24 | + | 3070.28i | 0.156737 | + | 0.105689i | ||||
\(946\) | −983.491 | + | 4308.96i | −0.0338013 | + | 0.148093i | ||||
\(947\) | 2069.19 | + | 5272.22i | 0.0710030 | + | 0.180913i | 0.961970 | − | 0.273156i | \(-0.0880674\pi\) |
−0.890967 | + | 0.454068i | \(0.849972\pi\) | |||||||
\(948\) | −978.868 | − | 13062.1i | −0.0335360 | − | 0.447507i | ||||
\(949\) | 2160.91 | + | 3742.80i | 0.0739156 | + | 0.128026i | ||||
\(950\) | 19147.2 | − | 33163.9i | 0.653912 | − | 1.13261i | ||||
\(951\) | −16402.3 | − | 7898.93i | −0.559286 | − | 0.269338i | ||||
\(952\) | −1230.54 | − | 584.846i | −0.0418928 | − | 0.0199107i | ||||
\(953\) | −23297.4 | + | 11219.5i | −0.791897 | + | 0.381357i | −0.785688 | − | 0.618623i | \(-0.787691\pi\) |
−0.00620921 | + | 0.999981i | \(0.501976\pi\) | |||||||
\(954\) | 11825.6 | − | 157802.i | 0.401330 | − | 5.35537i | ||||
\(955\) | 1137.59 | − | 350.899i | 0.0385460 | − | 0.0118899i | ||||
\(956\) | −30935.4 | + | 9542.32i | −1.04657 | + | 0.322825i | ||||
\(957\) | 742.278 | − | 9905.01i | 0.0250726 | − | 0.334570i | ||||
\(958\) | 3281.07 | − | 1580.08i | 0.110654 | − | 0.0532881i | ||||
\(959\) | 1524.12 | + | 6523.35i | 0.0513207 | + | 0.219656i | ||||
\(960\) | −3222.14 | − | 1551.70i | −0.108327 | − | 0.0521676i | ||||
\(961\) | −16609.0 | + | 28767.7i | −0.557518 | + | 0.965649i | ||||
\(962\) | −10421.9 | − | 18051.3i | −0.349289 | − | 0.604987i | ||||
\(963\) | 5686.10 | + | 75875.8i | 0.190272 | + | 2.53901i | ||||
\(964\) | −6052.19 | − | 15420.7i | −0.202207 | − | 0.515216i | ||||
\(965\) | 439.859 | − | 1927.15i | 0.0146731 | − | 0.0642871i | ||||
\(966\) | 49984.0 | − | 129302.i | 1.66481 | − | 4.30664i | ||||
\(967\) | 3432.74 | + | 15039.8i | 0.114157 | + | 0.500153i | 0.999387 | + | 0.0350009i | \(0.0111434\pi\) |
−0.885231 | + | 0.465153i | \(0.845999\pi\) | |||||||
\(968\) | −2712.78 | + | 1849.54i | −0.0900743 | + | 0.0614116i | ||||
\(969\) | 16038.5 | − | 14881.6i | 0.531715 | − | 0.493359i | ||||
\(970\) | −1642.65 | − | 247.589i | −0.0543734 | − | 0.00819547i | ||||
\(971\) | −28131.8 | − | 26102.5i | −0.929757 | − | 0.862688i | 0.0610275 | − | 0.998136i | \(-0.480562\pi\) |
−0.990784 | + | 0.135448i | \(0.956753\pi\) | |||||||
\(972\) | −22847.1 | − | 28649.4i | −0.753932 | − | 0.945401i | ||||
\(973\) | 21785.3 | − | 38183.9i | 0.717786 | − | 1.25809i | ||||
\(974\) | −18915.1 | + | 23718.7i | −0.622256 | + | 0.780284i | ||||
\(975\) | −28515.6 | + | 4298.04i | −0.936647 | + | 0.141177i | ||||
\(976\) | −24355.0 | − | 16604.9i | −0.798754 | − | 0.544581i | ||||
\(977\) | −6654.09 | + | 16954.3i | −0.217895 | + | 0.555187i | −0.997467 | − | 0.0711251i | \(-0.977341\pi\) |
0.779573 | + | 0.626312i | \(0.215436\pi\) | |||||||
\(978\) | 32183.8 | + | 9927.37i | 1.05227 | + | 0.324583i | ||||
\(979\) | 4630.54 | 0.151167 | ||||||||
\(980\) | 2128.54 | − | 680.536i | 0.0693815 | − | 0.0221826i | ||||
\(981\) | −27800.3 | −0.904785 | ||||||||
\(982\) | 43123.6 | + | 13301.9i | 1.40135 | + | 0.432261i | ||||
\(983\) | 15085.9 | − | 38438.2i | 0.489486 | − | 1.24719i | −0.446382 | − | 0.894842i | \(-0.647288\pi\) |
0.935869 | − | 0.352349i | \(-0.114617\pi\) | |||||||
\(984\) | 878.090 | + | 598.671i | 0.0284476 | + | 0.0193953i | ||||
\(985\) | 2171.89 | − | 327.360i | 0.0702560 | − | 0.0105894i | ||||
\(986\) | 17683.6 | − | 22174.5i | 0.571156 | − | 0.716207i | ||||
\(987\) | 48359.0 | + | 14645.8i | 1.55956 | + | 0.472322i | ||||
\(988\) | −8863.14 | − | 11114.0i | −0.285399 | − | 0.357879i | ||||
\(989\) | 39100.5 | + | 36280.0i | 1.25715 | + | 1.16647i | ||||
\(990\) | −914.197 | − | 137.793i | −0.0293486 | − | 0.00442359i | ||||
\(991\) | 526.247 | − | 488.286i | 0.0168686 | − | 0.0156518i | −0.671693 | − | 0.740829i | \(-0.734433\pi\) |
0.688562 | + | 0.725177i | \(0.258242\pi\) | |||||||
\(992\) | 51693.7 | − | 35244.1i | 1.65451 | − | 1.12803i | ||||
\(993\) | −12460.3 | − | 54592.2i | −0.398204 | − | 1.74464i | ||||
\(994\) | 10136.8 | + | 17351.4i | 0.323459 | + | 0.553676i | ||||
\(995\) | −578.676 | + | 2535.35i | −0.0184375 | + | 0.0807798i | ||||
\(996\) | −5785.47 | − | 14741.1i | −0.184056 | − | 0.468966i | ||||
\(997\) | −4199.49 | − | 56038.3i | −0.133399 | − | 1.78009i | −0.516406 | − | 0.856344i | \(-0.672730\pi\) |
0.383006 | − | 0.923746i | \(-0.374889\pi\) | |||||||
\(998\) | −12039.4 | − | 20852.9i | −0.381864 | − | 0.661408i | ||||
\(999\) | −36292.2 | + | 62860.0i | −1.14939 | + | 1.99079i |
(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 | 49.4.g.a.2.3 | ✓ | 156 | |
49.5 | odd | 42 | 2401.4.a.f.1.14 | 78 | |||
49.25 | even | 21 | inner | 49.4.g.a.25.3 | yes | 156 | |
49.44 | even | 21 | 2401.4.a.g.1.14 | 78 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.4.g.a.2.3 | ✓ | 156 | 1.1 | even | 1 | trivial | |
49.4.g.a.25.3 | yes | 156 | 49.25 | even | 21 | inner | |
2401.4.a.f.1.14 | 78 | 49.5 | odd | 42 | |||
2401.4.a.g.1.14 | 78 | 49.44 | even | 21 |