Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [169,4,Mod(22,169)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(169, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("169.22");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 169 = 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 169.c (of order \(3\), degree \(2\), not 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: | \(9.97132279097\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 13) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 146.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 169.146 |
Dual form | 169.4.c.d.22.1 |
$q$-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 \(\left(\mathbb{Z}/169\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.00000 | + | 3.46410i | 0.707107 | + | 1.22474i | 0.965926 | + | 0.258819i | \(0.0833333\pi\) |
−0.258819 | + | 0.965926i | \(0.583333\pi\) | |||||||
\(3\) | −1.00000 | − | 1.73205i | −0.192450 | − | 0.333333i | 0.753612 | − | 0.657320i | \(-0.228310\pi\) |
−0.946062 | + | 0.323987i | \(0.894977\pi\) | |||||||
\(4\) | −4.00000 | + | 6.92820i | −0.500000 | + | 0.866025i | ||||
\(5\) | −17.0000 | −1.52053 | −0.760263 | − | 0.649615i | \(-0.774930\pi\) | ||||
−0.760263 | + | 0.649615i | \(0.774930\pi\) | |||||||
\(6\) | 4.00000 | − | 6.92820i | 0.272166 | − | 0.471405i | ||||
\(7\) | 10.0000 | − | 17.3205i | 0.539949 | − | 0.935220i | −0.458957 | − | 0.888459i | \(-0.651777\pi\) |
0.998906 | − | 0.0467610i | \(-0.0148899\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 11.5000 | − | 19.9186i | 0.425926 | − | 0.737725i | ||||
\(10\) | −34.0000 | − | 58.8897i | −1.07517 | − | 1.86226i | ||||
\(11\) | −16.0000 | − | 27.7128i | −0.438562 | − | 0.759612i | 0.559017 | − | 0.829156i | \(-0.311179\pi\) |
−0.997579 | + | 0.0695447i | \(0.977845\pi\) | |||||||
\(12\) | 16.0000 | 0.384900 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 80.0000 | 1.52721 | ||||||||
\(15\) | 17.0000 | + | 29.4449i | 0.292625 | + | 0.506842i | ||||
\(16\) | 32.0000 | + | 55.4256i | 0.500000 | + | 0.866025i | ||||
\(17\) | 6.50000 | − | 11.2583i | 0.0927342 | − | 0.160620i | −0.815927 | − | 0.578156i | \(-0.803773\pi\) |
0.908661 | + | 0.417535i | \(0.137106\pi\) | |||||||
\(18\) | 92.0000 | 1.20470 | ||||||||
\(19\) | 15.0000 | − | 25.9808i | 0.181118 | − | 0.313705i | −0.761144 | − | 0.648583i | \(-0.775362\pi\) |
0.942261 | + | 0.334878i | \(0.108695\pi\) | |||||||
\(20\) | 68.0000 | − | 117.779i | 0.760263 | − | 1.31681i | ||||
\(21\) | −40.0000 | −0.415653 | ||||||||
\(22\) | 64.0000 | − | 110.851i | 0.620220 | − | 1.07425i | ||||
\(23\) | −39.0000 | − | 67.5500i | −0.353568 | − | 0.612398i | 0.633304 | − | 0.773903i | \(-0.281698\pi\) |
−0.986872 | + | 0.161506i | \(0.948365\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 164.000 | 1.31200 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −100.000 | −0.712778 | ||||||||
\(28\) | 80.0000 | + | 138.564i | 0.539949 | + | 0.935220i | ||||
\(29\) | −98.5000 | − | 170.607i | −0.630724 | − | 1.09245i | −0.987404 | − | 0.158219i | \(-0.949425\pi\) |
0.356680 | − | 0.934227i | \(-0.383909\pi\) | |||||||
\(30\) | −68.0000 | + | 117.779i | −0.413835 | + | 0.716783i | ||||
\(31\) | 74.0000 | 0.428735 | 0.214368 | − | 0.976753i | \(-0.431231\pi\) | ||||
0.214368 | + | 0.976753i | \(0.431231\pi\) | |||||||
\(32\) | −128.000 | + | 221.703i | −0.707107 | + | 1.22474i | ||||
\(33\) | −32.0000 | + | 55.4256i | −0.168803 | + | 0.292375i | ||||
\(34\) | 52.0000 | 0.262292 | ||||||||
\(35\) | −170.000 | + | 294.449i | −0.821007 | + | 1.42203i | ||||
\(36\) | 92.0000 | + | 159.349i | 0.425926 | + | 0.737725i | ||||
\(37\) | −113.500 | − | 196.588i | −0.504305 | − | 0.873482i | −0.999988 | − | 0.00497814i | \(-0.998415\pi\) |
0.495683 | − | 0.868504i | \(-0.334918\pi\) | |||||||
\(38\) | 120.000 | 0.512278 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −82.5000 | − | 142.894i | −0.314252 | − | 0.544301i | 0.665026 | − | 0.746820i | \(-0.268420\pi\) |
−0.979278 | + | 0.202520i | \(0.935087\pi\) | |||||||
\(42\) | −80.0000 | − | 138.564i | −0.293911 | − | 0.509069i | ||||
\(43\) | 78.0000 | − | 135.100i | 0.276625 | − | 0.479129i | −0.693919 | − | 0.720053i | \(-0.744117\pi\) |
0.970544 | + | 0.240924i | \(0.0774506\pi\) | |||||||
\(44\) | 256.000 | 0.877124 | ||||||||
\(45\) | −195.500 | + | 338.616i | −0.647632 | + | 1.12173i | ||||
\(46\) | 156.000 | − | 270.200i | 0.500021 | − | 0.866061i | ||||
\(47\) | 162.000 | 0.502769 | 0.251384 | − | 0.967887i | \(-0.419114\pi\) | ||||
0.251384 | + | 0.967887i | \(0.419114\pi\) | |||||||
\(48\) | 64.0000 | − | 110.851i | 0.192450 | − | 0.333333i | ||||
\(49\) | −28.5000 | − | 49.3634i | −0.0830904 | − | 0.143917i | ||||
\(50\) | 328.000 | + | 568.113i | 0.927724 | + | 1.60687i | ||||
\(51\) | −26.0000 | −0.0713868 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 93.0000 | 0.241029 | 0.120514 | − | 0.992712i | \(-0.461546\pi\) | ||||
0.120514 | + | 0.992712i | \(0.461546\pi\) | |||||||
\(54\) | −200.000 | − | 346.410i | −0.504010 | − | 0.872971i | ||||
\(55\) | 272.000 | + | 471.118i | 0.666845 | + | 1.15501i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −60.0000 | −0.139424 | ||||||||
\(58\) | 394.000 | − | 682.428i | 0.891978 | − | 1.54495i | ||||
\(59\) | −432.000 | + | 748.246i | −0.953248 | + | 1.65107i | −0.214919 | + | 0.976632i | \(0.568949\pi\) |
−0.738328 | + | 0.674442i | \(0.764384\pi\) | |||||||
\(60\) | −272.000 | −0.585251 | ||||||||
\(61\) | −72.5000 | + | 125.574i | −0.152175 | + | 0.263575i | −0.932027 | − | 0.362389i | \(-0.881961\pi\) |
0.779852 | + | 0.625964i | \(0.215294\pi\) | |||||||
\(62\) | 148.000 | + | 256.344i | 0.303162 | + | 0.525091i | ||||
\(63\) | −230.000 | − | 398.372i | −0.459957 | − | 0.796668i | ||||
\(64\) | −512.000 | −1.00000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −256.000 | −0.477446 | ||||||||
\(67\) | 431.000 | + | 746.514i | 0.785896 | + | 1.36121i | 0.928462 | + | 0.371427i | \(0.121131\pi\) |
−0.142566 | + | 0.989785i | \(0.545535\pi\) | |||||||
\(68\) | 52.0000 | + | 90.0666i | 0.0927342 | + | 0.160620i | ||||
\(69\) | −78.0000 | + | 135.100i | −0.136088 | + | 0.235712i | ||||
\(70\) | −1360.00 | −2.32216 | ||||||||
\(71\) | 327.000 | − | 566.381i | 0.546588 | − | 0.946718i | −0.451917 | − | 0.892060i | \(-0.649260\pi\) |
0.998505 | − | 0.0546585i | \(-0.0174070\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −215.000 | −0.344710 | −0.172355 | − | 0.985035i | \(-0.555138\pi\) | ||||
−0.172355 | + | 0.985035i | \(0.555138\pi\) | |||||||
\(74\) | 454.000 | − | 786.351i | 0.713195 | − | 1.23529i | ||||
\(75\) | −164.000 | − | 284.056i | −0.252495 | − | 0.437333i | ||||
\(76\) | 120.000 | + | 207.846i | 0.181118 | + | 0.313705i | ||||
\(77\) | −640.000 | −0.947205 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −76.0000 | −0.108236 | −0.0541182 | − | 0.998535i | \(-0.517235\pi\) | ||||
−0.0541182 | + | 0.998535i | \(0.517235\pi\) | |||||||
\(80\) | −544.000 | − | 942.236i | −0.760263 | − | 1.31681i | ||||
\(81\) | −210.500 | − | 364.597i | −0.288752 | − | 0.500133i | ||||
\(82\) | 330.000 | − | 571.577i | 0.444420 | − | 0.769757i | ||||
\(83\) | −628.000 | −0.830505 | −0.415253 | − | 0.909706i | \(-0.636307\pi\) | ||||
−0.415253 | + | 0.909706i | \(0.636307\pi\) | |||||||
\(84\) | 160.000 | − | 277.128i | 0.207827 | − | 0.359966i | ||||
\(85\) | −110.500 | + | 191.392i | −0.141005 | + | 0.244227i | ||||
\(86\) | 624.000 | 0.782415 | ||||||||
\(87\) | −197.000 | + | 341.214i | −0.242766 | + | 0.420483i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −133.000 | − | 230.363i | −0.158404 | − | 0.274364i | 0.775889 | − | 0.630869i | \(-0.217302\pi\) |
−0.934293 | + | 0.356505i | \(0.883968\pi\) | |||||||
\(90\) | −1564.00 | −1.83178 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 624.000 | 0.707136 | ||||||||
\(93\) | −74.0000 | − | 128.172i | −0.0825101 | − | 0.142912i | ||||
\(94\) | 324.000 | + | 561.184i | 0.355511 | + | 0.615763i | ||||
\(95\) | −255.000 | + | 441.673i | −0.275394 | + | 0.476997i | ||||
\(96\) | 512.000 | 0.544331 | ||||||||
\(97\) | 119.000 | − | 206.114i | 0.124563 | − | 0.215750i | −0.796999 | − | 0.603981i | \(-0.793580\pi\) |
0.921562 | + | 0.388231i | \(0.126914\pi\) | |||||||
\(98\) | 114.000 | − | 197.454i | 0.117508 | − | 0.203529i | ||||
\(99\) | −736.000 | −0.747180 | ||||||||
\(100\) | −656.000 | + | 1136.23i | −0.656000 | + | 1.13623i | ||||
\(101\) | 409.500 | + | 709.275i | 0.403433 | + | 0.698767i | 0.994138 | − | 0.108121i | \(-0.0344834\pi\) |
−0.590704 | + | 0.806888i | \(0.701150\pi\) | |||||||
\(102\) | −52.0000 | − | 90.0666i | −0.0504781 | − | 0.0874307i | ||||
\(103\) | 1638.00 | 1.56696 | 0.783480 | − | 0.621417i | \(-0.213443\pi\) | ||||
0.783480 | + | 0.621417i | \(0.213443\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 680.000 | 0.632011 | ||||||||
\(106\) | 186.000 | + | 322.161i | 0.170433 | + | 0.295199i | ||||
\(107\) | −261.000 | − | 452.065i | −0.235811 | − | 0.408437i | 0.723697 | − | 0.690118i | \(-0.242441\pi\) |
−0.959508 | + | 0.281681i | \(0.909108\pi\) | |||||||
\(108\) | 400.000 | − | 692.820i | 0.356389 | − | 0.617284i | ||||
\(109\) | 1634.00 | 1.43586 | 0.717930 | − | 0.696115i | \(-0.245090\pi\) | ||||
0.717930 | + | 0.696115i | \(0.245090\pi\) | |||||||
\(110\) | −1088.00 | + | 1884.47i | −0.943061 | + | 1.63343i | ||||
\(111\) | −227.000 | + | 393.176i | −0.194107 | + | 0.336203i | ||||
\(112\) | 1280.00 | 1.07990 | ||||||||
\(113\) | −163.500 | + | 283.190i | −0.136113 | + | 0.235755i | −0.926022 | − | 0.377469i | \(-0.876794\pi\) |
0.789909 | + | 0.613224i | \(0.210128\pi\) | |||||||
\(114\) | −120.000 | − | 207.846i | −0.0985880 | − | 0.170759i | ||||
\(115\) | 663.000 | + | 1148.35i | 0.537609 | + | 0.931167i | ||||
\(116\) | 1576.00 | 1.26145 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3456.00 | −2.69619 | ||||||||
\(119\) | −130.000 | − | 225.167i | −0.100144 | − | 0.173454i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 153.500 | − | 265.870i | 0.115327 | − | 0.199752i | ||||
\(122\) | −580.000 | −0.430416 | ||||||||
\(123\) | −165.000 | + | 285.788i | −0.120956 | + | 0.209501i | ||||
\(124\) | −296.000 | + | 512.687i | −0.214368 | + | 0.371296i | ||||
\(125\) | −663.000 | −0.474404 | ||||||||
\(126\) | 920.000 | − | 1593.49i | 0.650477 | − | 1.12666i | ||||
\(127\) | 1079.00 | + | 1868.88i | 0.753904 | + | 1.30580i | 0.945918 | + | 0.324407i | \(0.105165\pi\) |
−0.192014 | + | 0.981392i | \(0.561502\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −312.000 | −0.212946 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 730.000 | 0.486873 | 0.243437 | − | 0.969917i | \(-0.421725\pi\) | ||||
0.243437 | + | 0.969917i | \(0.421725\pi\) | |||||||
\(132\) | −256.000 | − | 443.405i | −0.168803 | − | 0.292375i | ||||
\(133\) | −300.000 | − | 519.615i | −0.195589 | − | 0.338770i | ||||
\(134\) | −1724.00 | + | 2986.06i | −1.11142 | + | 1.92504i | ||||
\(135\) | 1700.00 | 1.08380 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 835.500 | − | 1447.13i | 0.521033 | − | 0.902456i | −0.478667 | − | 0.877996i | \(-0.658880\pi\) |
0.999701 | − | 0.0244601i | \(-0.00778666\pi\) | |||||||
\(138\) | −624.000 | −0.384916 | ||||||||
\(139\) | −456.000 | + | 789.815i | −0.278255 | + | 0.481951i | −0.970951 | − | 0.239278i | \(-0.923089\pi\) |
0.692696 | + | 0.721229i | \(0.256423\pi\) | |||||||
\(140\) | −1360.00 | − | 2355.59i | −0.821007 | − | 1.42203i | ||||
\(141\) | −162.000 | − | 280.592i | −0.0967579 | − | 0.167590i | ||||
\(142\) | 2616.00 | 1.54598 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1472.00 | 0.851852 | ||||||||
\(145\) | 1674.50 | + | 2900.32i | 0.959032 | + | 1.66109i | ||||
\(146\) | −430.000 | − | 744.782i | −0.243747 | − | 0.422182i | ||||
\(147\) | −57.0000 | + | 98.7269i | −0.0319815 | + | 0.0553936i | ||||
\(148\) | 1816.00 | 1.00861 | ||||||||
\(149\) | −1057.50 | + | 1831.64i | −0.581435 | + | 1.00707i | 0.413875 | + | 0.910334i | \(0.364175\pi\) |
−0.995310 | + | 0.0967407i | \(0.969158\pi\) | |||||||
\(150\) | 656.000 | − | 1136.23i | 0.357081 | − | 0.618483i | ||||
\(151\) | −514.000 | −0.277011 | −0.138506 | − | 0.990362i | \(-0.544230\pi\) | ||||
−0.138506 | + | 0.990362i | \(0.544230\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −149.500 | − | 258.942i | −0.0789958 | − | 0.136825i | ||||
\(154\) | −1280.00 | − | 2217.03i | −0.669775 | − | 1.16008i | ||||
\(155\) | −1258.00 | −0.651903 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2901.00 | 1.47468 | 0.737341 | − | 0.675521i | \(-0.236081\pi\) | ||||
0.737341 | + | 0.675521i | \(0.236081\pi\) | |||||||
\(158\) | −152.000 | − | 263.272i | −0.0765346 | − | 0.132562i | ||||
\(159\) | −93.0000 | − | 161.081i | −0.0463860 | − | 0.0803430i | ||||
\(160\) | 2176.00 | − | 3768.94i | 1.07517 | − | 1.86226i | ||||
\(161\) | −1560.00 | −0.763635 | ||||||||
\(162\) | 842.000 | − | 1458.39i | 0.408357 | − | 0.707294i | ||||
\(163\) | 1180.00 | − | 2043.82i | 0.567023 | − | 0.982112i | −0.429835 | − | 0.902907i | \(-0.641428\pi\) |
0.996858 | − | 0.0792052i | \(-0.0252382\pi\) | |||||||
\(164\) | 1320.00 | 0.628504 | ||||||||
\(165\) | 544.000 | − | 942.236i | 0.256669 | − | 0.444563i | ||||
\(166\) | −1256.00 | − | 2175.46i | −0.587256 | − | 1.01716i | ||||
\(167\) | 140.000 | + | 242.487i | 0.0648714 | + | 0.112361i | 0.896637 | − | 0.442767i | \(-0.146003\pi\) |
−0.831766 | + | 0.555127i | \(0.812670\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −884.000 | −0.398822 | ||||||||
\(171\) | −345.000 | − | 597.558i | −0.154285 | − | 0.267230i | ||||
\(172\) | 624.000 | + | 1080.80i | 0.276625 | + | 0.479129i | ||||
\(173\) | −663.000 | + | 1148.35i | −0.291370 | + | 0.504667i | −0.974134 | − | 0.225972i | \(-0.927444\pi\) |
0.682764 | + | 0.730639i | \(0.260778\pi\) | |||||||
\(174\) | −1576.00 | −0.686645 | ||||||||
\(175\) | 1640.00 | − | 2840.56i | 0.708413 | − | 1.22701i | ||||
\(176\) | 1024.00 | − | 1773.62i | 0.438562 | − | 0.759612i | ||||
\(177\) | 1728.00 | 0.733810 | ||||||||
\(178\) | 532.000 | − | 921.451i | 0.224017 | − | 0.388009i | ||||
\(179\) | −2132.00 | − | 3692.73i | −0.890241 | − | 1.54194i | −0.839586 | − | 0.543227i | \(-0.817202\pi\) |
−0.0506550 | − | 0.998716i | \(-0.516131\pi\) | |||||||
\(180\) | −1564.00 | − | 2708.93i | −0.647632 | − | 1.12173i | ||||
\(181\) | −403.000 | −0.165496 | −0.0827479 | − | 0.996571i | \(-0.526370\pi\) | ||||
−0.0827479 | + | 0.996571i | \(0.526370\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 290.000 | 0.117144 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1929.50 | + | 3341.99i | 0.766809 | + | 1.32815i | ||||
\(186\) | 296.000 | − | 512.687i | 0.116687 | − | 0.202108i | ||||
\(187\) | −416.000 | −0.162679 | ||||||||
\(188\) | −648.000 | + | 1122.37i | −0.251384 | + | 0.435410i | ||||
\(189\) | −1000.00 | + | 1732.05i | −0.384864 | + | 0.666604i | ||||
\(190\) | −2040.00 | −0.778932 | ||||||||
\(191\) | 623.000 | − | 1079.07i | 0.236014 | − | 0.408788i | −0.723553 | − | 0.690269i | \(-0.757492\pi\) |
0.959567 | + | 0.281481i | \(0.0908255\pi\) | |||||||
\(192\) | 512.000 | + | 886.810i | 0.192450 | + | 0.333333i | ||||
\(193\) | 133.500 | + | 231.229i | 0.0497904 | + | 0.0862394i | 0.889846 | − | 0.456260i | \(-0.150811\pi\) |
−0.840056 | + | 0.542500i | \(0.817478\pi\) | |||||||
\(194\) | 952.000 | 0.352318 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 456.000 | 0.166181 | ||||||||
\(197\) | 639.000 | + | 1106.78i | 0.231101 | + | 0.400278i | 0.958132 | − | 0.286326i | \(-0.0924339\pi\) |
−0.727032 | + | 0.686604i | \(0.759101\pi\) | |||||||
\(198\) | −1472.00 | − | 2549.58i | −0.528336 | − | 0.915104i | ||||
\(199\) | −2119.00 | + | 3670.22i | −0.754834 | + | 1.30741i | 0.190623 | + | 0.981663i | \(0.438949\pi\) |
−0.945457 | + | 0.325747i | \(0.894384\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 862.000 | − | 1493.03i | 0.302492 | − | 0.523931i | ||||
\(202\) | −1638.00 | + | 2837.10i | −0.570541 | + | 0.988206i | ||||
\(203\) | −3940.00 | −1.36224 | ||||||||
\(204\) | 104.000 | − | 180.133i | 0.0356934 | − | 0.0618228i | ||||
\(205\) | 1402.50 | + | 2429.20i | 0.477829 | + | 0.827623i | ||||
\(206\) | 3276.00 | + | 5674.20i | 1.10801 | + | 1.91913i | ||||
\(207\) | −1794.00 | −0.602375 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −960.000 | −0.317725 | ||||||||
\(210\) | 1360.00 | + | 2355.59i | 0.446900 | + | 0.774053i | ||||
\(211\) | −1535.00 | − | 2658.70i | −0.500823 | − | 0.867452i | −1.00000 | 0.000951154i | \(-0.999697\pi\) | |
0.499176 | − | 0.866501i | \(-0.333636\pi\) | |||||||
\(212\) | −372.000 | + | 644.323i | −0.120514 | + | 0.208737i | ||||
\(213\) | −1308.00 | −0.420764 | ||||||||
\(214\) | 1044.00 | − | 1808.26i | 0.333488 | − | 0.577618i | ||||
\(215\) | −1326.00 | + | 2296.70i | −0.420616 | + | 0.728528i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 740.000 | − | 1281.72i | 0.231495 | − | 0.400962i | ||||
\(218\) | 3268.00 | + | 5660.34i | 1.01531 | + | 1.75856i | ||||
\(219\) | 215.000 | + | 372.391i | 0.0663395 | + | 0.114903i | ||||
\(220\) | −4352.00 | −1.33369 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −1816.00 | −0.549018 | ||||||||
\(223\) | −2689.00 | − | 4657.48i | −0.807483 | − | 1.39860i | −0.914602 | − | 0.404356i | \(-0.867496\pi\) |
0.107119 | − | 0.994246i | \(-0.465838\pi\) | |||||||
\(224\) | 2560.00 | + | 4434.05i | 0.763604 | + | 1.32260i | ||||
\(225\) | 1886.00 | − | 3266.65i | 0.558815 | − | 0.967896i | ||||
\(226\) | −1308.00 | −0.384986 | ||||||||
\(227\) | −1987.00 | + | 3441.58i | −0.580977 | + | 1.00628i | 0.414387 | + | 0.910101i | \(0.363996\pi\) |
−0.995364 | + | 0.0961811i | \(0.969337\pi\) | |||||||
\(228\) | 240.000 | − | 415.692i | 0.0697122 | − | 0.120745i | ||||
\(229\) | 6298.00 | 1.81740 | 0.908698 | − | 0.417455i | \(-0.137078\pi\) | ||||
0.908698 | + | 0.417455i | \(0.137078\pi\) | |||||||
\(230\) | −2652.00 | + | 4593.40i | −0.760294 | + | 1.31687i | ||||
\(231\) | 640.000 | + | 1108.51i | 0.182290 | + | 0.315735i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 4030.00 | 1.13311 | 0.566554 | − | 0.824025i | \(-0.308276\pi\) | ||||
0.566554 | + | 0.824025i | \(0.308276\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2754.00 | −0.764473 | ||||||||
\(236\) | −3456.00 | − | 5985.97i | −0.953248 | − | 1.65107i | ||||
\(237\) | 76.0000 | + | 131.636i | 0.0208301 | + | 0.0360788i | ||||
\(238\) | 520.000 | − | 900.666i | 0.141624 | − | 0.245301i | ||||
\(239\) | 984.000 | 0.266317 | 0.133158 | − | 0.991095i | \(-0.457488\pi\) | ||||
0.133158 | + | 0.991095i | \(0.457488\pi\) | |||||||
\(240\) | −1088.00 | + | 1884.47i | −0.292625 | + | 0.506842i | ||||
\(241\) | 471.500 | − | 816.662i | 0.126025 | − | 0.218281i | −0.796108 | − | 0.605154i | \(-0.793111\pi\) |
0.922133 | + | 0.386873i | \(0.126445\pi\) | |||||||
\(242\) | 1228.00 | 0.326194 | ||||||||
\(243\) | −1771.00 | + | 3067.46i | −0.467530 | + | 0.809785i | ||||
\(244\) | −580.000 | − | 1004.59i | −0.152175 | − | 0.263575i | ||||
\(245\) | 484.500 | + | 839.179i | 0.126341 | + | 0.218829i | ||||
\(246\) | −1320.00 | −0.342114 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 628.000 | + | 1087.73i | 0.159831 | + | 0.276835i | ||||
\(250\) | −1326.00 | − | 2296.70i | −0.335454 | − | 0.581024i | ||||
\(251\) | 1365.00 | − | 2364.25i | 0.343259 | − | 0.594542i | −0.641777 | − | 0.766891i | \(-0.721802\pi\) |
0.985036 | + | 0.172349i | \(0.0551358\pi\) | |||||||
\(252\) | 3680.00 | 0.919914 | ||||||||
\(253\) | −1248.00 | + | 2161.60i | −0.310123 | + | 0.537149i | ||||
\(254\) | −4316.00 | + | 7475.53i | −1.06618 | + | 1.84668i | ||||
\(255\) | 442.000 | 0.108546 | ||||||||
\(256\) | −2048.00 | + | 3547.24i | −0.500000 | + | 0.866025i | ||||
\(257\) | 942.500 | + | 1632.46i | 0.228761 | + | 0.396225i | 0.957441 | − | 0.288629i | \(-0.0931993\pi\) |
−0.728680 | + | 0.684854i | \(0.759866\pi\) | |||||||
\(258\) | −624.000 | − | 1080.80i | −0.150576 | − | 0.260805i | ||||
\(259\) | −4540.00 | −1.08920 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −4531.00 | −1.07457 | ||||||||
\(262\) | 1460.00 | + | 2528.79i | 0.344271 | + | 0.596296i | ||||
\(263\) | −2016.00 | − | 3491.81i | −0.472669 | − | 0.818686i | 0.526842 | − | 0.849963i | \(-0.323376\pi\) |
−0.999511 | + | 0.0312769i | \(0.990043\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1581.00 | −0.366491 | ||||||||
\(266\) | 1200.00 | − | 2078.46i | 0.276604 | − | 0.479093i | ||||
\(267\) | −266.000 | + | 460.726i | −0.0609698 | + | 0.105603i | ||||
\(268\) | −6896.00 | −1.57179 | ||||||||
\(269\) | −2003.00 | + | 3469.30i | −0.453997 | + | 0.786345i | −0.998630 | − | 0.0523292i | \(-0.983335\pi\) |
0.544633 | + | 0.838674i | \(0.316669\pi\) | |||||||
\(270\) | 3400.00 | + | 5888.97i | 0.766361 | + | 1.32738i | ||||
\(271\) | −2148.00 | − | 3720.45i | −0.481482 | − | 0.833952i | 0.518292 | − | 0.855204i | \(-0.326568\pi\) |
−0.999774 | + | 0.0212520i | \(0.993235\pi\) | |||||||
\(272\) | 832.000 | 0.185468 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6684.00 | 1.47371 | ||||||||
\(275\) | −2624.00 | − | 4544.90i | −0.575393 | − | 0.996610i | ||||
\(276\) | −624.000 | − | 1080.80i | −0.136088 | − | 0.235712i | ||||
\(277\) | 2775.50 | − | 4807.31i | 0.602035 | − | 1.04275i | −0.390478 | − | 0.920612i | \(-0.627690\pi\) |
0.992513 | − | 0.122142i | \(-0.0389765\pi\) | |||||||
\(278\) | −3648.00 | −0.787023 | ||||||||
\(279\) | 851.000 | − | 1473.98i | 0.182609 | − | 0.316289i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5557.00 | 1.17973 | 0.589863 | − | 0.807504i | \(-0.299182\pi\) | ||||
0.589863 | + | 0.807504i | \(0.299182\pi\) | |||||||
\(282\) | 648.000 | − | 1122.37i | 0.136836 | − | 0.237007i | ||||
\(283\) | −1560.00 | − | 2702.00i | −0.327676 | − | 0.567552i | 0.654374 | − | 0.756171i | \(-0.272932\pi\) |
−0.982050 | + | 0.188619i | \(0.939599\pi\) | |||||||
\(284\) | 2616.00 | + | 4531.04i | 0.546588 | + | 0.946718i | ||||
\(285\) | 1020.00 | 0.211999 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −3300.00 | −0.678721 | ||||||||
\(288\) | 2944.00 | + | 5099.16i | 0.602350 | + | 1.04330i | ||||
\(289\) | 2372.00 | + | 4108.42i | 0.482801 | + | 0.836235i | ||||
\(290\) | −6698.00 | + | 11601.3i | −1.35628 | + | 2.34914i | ||||
\(291\) | −476.000 | −0.0958887 | ||||||||
\(292\) | 860.000 | − | 1489.56i | 0.172355 | − | 0.298528i | ||||
\(293\) | 4150.50 | − | 7188.88i | 0.827559 | − | 1.43337i | −0.0723887 | − | 0.997376i | \(-0.523062\pi\) |
0.899948 | − | 0.435998i | \(-0.143604\pi\) | |||||||
\(294\) | −456.000 | −0.0904573 | ||||||||
\(295\) | 7344.00 | − | 12720.2i | 1.44944 | − | 2.51050i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1600.00 | + | 2771.28i | 0.312597 | + | 0.541435i | ||||
\(298\) | −8460.00 | −1.64455 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 2624.00 | 0.504989 | ||||||||
\(301\) | −1560.00 | − | 2702.00i | −0.298727 | − | 0.517411i | ||||
\(302\) | −1028.00 | − | 1780.55i | −0.195877 | − | 0.339268i | ||||
\(303\) | 819.000 | − | 1418.55i | 0.155282 | − | 0.268956i | ||||
\(304\) | 1920.00 | 0.362235 | ||||||||
\(305\) | 1232.50 | − | 2134.75i | 0.231386 | − | 0.400772i | ||||
\(306\) | 598.000 | − | 1035.77i | 0.111717 | − | 0.193499i | ||||
\(307\) | −8678.00 | −1.61329 | −0.806644 | − | 0.591037i | \(-0.798719\pi\) | ||||
−0.806644 | + | 0.591037i | \(0.798719\pi\) | |||||||
\(308\) | 2560.00 | − | 4434.05i | 0.473602 | − | 0.820303i | ||||
\(309\) | −1638.00 | − | 2837.10i | −0.301562 | − | 0.522320i | ||||
\(310\) | −2516.00 | − | 4357.84i | −0.460965 | − | 0.798415i | ||||
\(311\) | 8658.00 | 1.57862 | 0.789309 | − | 0.613996i | \(-0.210439\pi\) | ||||
0.789309 | + | 0.613996i | \(0.210439\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5250.00 | −0.948075 | −0.474038 | − | 0.880505i | \(-0.657204\pi\) | ||||
−0.474038 | + | 0.880505i | \(0.657204\pi\) | |||||||
\(314\) | 5802.00 | + | 10049.4i | 1.04276 | + | 1.80611i | ||||
\(315\) | 3910.00 | + | 6772.32i | 0.699376 | + | 1.21136i | ||||
\(316\) | 304.000 | − | 526.543i | 0.0541182 | − | 0.0937354i | ||||
\(317\) | −6413.00 | −1.13625 | −0.568123 | − | 0.822944i | \(-0.692330\pi\) | ||||
−0.568123 | + | 0.822944i | \(0.692330\pi\) | |||||||
\(318\) | 372.000 | − | 644.323i | 0.0655998 | − | 0.113622i | ||||
\(319\) | −3152.00 | + | 5459.42i | −0.553223 | + | 0.958210i | ||||
\(320\) | 8704.00 | 1.52053 | ||||||||
\(321\) | −522.000 | + | 904.131i | −0.0907639 | + | 0.157208i | ||||
\(322\) | −3120.00 | − | 5404.00i | −0.539971 | − | 0.935258i | ||||
\(323\) | −195.000 | − | 337.750i | −0.0335916 | − | 0.0581824i | ||||
\(324\) | 3368.00 | 0.577503 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 9440.00 | 1.60378 | ||||||||
\(327\) | −1634.00 | − | 2830.17i | −0.276332 | − | 0.478620i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1620.00 | − | 2805.92i | 0.271470 | − | 0.470199i | ||||
\(330\) | 4352.00 | 0.725969 | ||||||||
\(331\) | 1744.00 | − | 3020.70i | 0.289604 | − | 0.501609i | −0.684111 | − | 0.729378i | \(-0.739810\pi\) |
0.973715 | + | 0.227769i | \(0.0731431\pi\) | |||||||
\(332\) | 2512.00 | − | 4350.91i | 0.415253 | − | 0.719239i | ||||
\(333\) | −5221.00 | −0.859186 | ||||||||
\(334\) | −560.000 | + | 969.948i | −0.0917420 | + | 0.158902i | ||||
\(335\) | −7327.00 | − | 12690.7i | −1.19498 | − | 2.06976i | ||||
\(336\) | −1280.00 | − | 2217.03i | −0.207827 | − | 0.359966i | ||||
\(337\) | −1833.00 | −0.296290 | −0.148145 | − | 0.988966i | \(-0.547330\pi\) | ||||
−0.148145 | + | 0.988966i | \(0.547330\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 654.000 | 0.104780 | ||||||||
\(340\) | −884.000 | − | 1531.13i | −0.141005 | − | 0.244227i | ||||
\(341\) | −1184.00 | − | 2050.75i | −0.188027 | − | 0.325672i | ||||
\(342\) | 1380.00 | − | 2390.23i | 0.218193 | − | 0.377921i | ||||
\(343\) | 5720.00 | 0.900440 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1326.00 | − | 2296.70i | 0.206926 | − | 0.358406i | ||||
\(346\) | −5304.00 | −0.824118 | ||||||||
\(347\) | −3615.00 | + | 6261.36i | −0.559260 | + | 0.968667i | 0.438298 | + | 0.898830i | \(0.355581\pi\) |
−0.997558 | + | 0.0698377i | \(0.977752\pi\) | |||||||
\(348\) | −1576.00 | − | 2729.71i | −0.242766 | − | 0.420483i | ||||
\(349\) | −2629.00 | − | 4553.56i | −0.403230 | − | 0.698414i | 0.590884 | − | 0.806757i | \(-0.298779\pi\) |
−0.994114 | + | 0.108342i | \(0.965446\pi\) | |||||||
\(350\) | 13120.0 | 2.00370 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 8192.00 | 1.24044 | ||||||||
\(353\) | 1581.50 | + | 2739.24i | 0.238455 | + | 0.413017i | 0.960271 | − | 0.279068i | \(-0.0900256\pi\) |
−0.721816 | + | 0.692085i | \(0.756692\pi\) | |||||||
\(354\) | 3456.00 | + | 5985.97i | 0.518882 | + | 0.898730i | ||||
\(355\) | −5559.00 | + | 9628.47i | −0.831102 | + | 1.43951i | ||||
\(356\) | 2128.00 | 0.316808 | ||||||||
\(357\) | −260.000 | + | 450.333i | −0.0385453 | + | 0.0667624i | ||||
\(358\) | 8528.00 | − | 14770.9i | 1.25899 | − | 2.18064i | ||||
\(359\) | 10068.0 | 1.48014 | 0.740068 | − | 0.672532i | \(-0.234793\pi\) | ||||
0.740068 | + | 0.672532i | \(0.234793\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2979.50 | + | 5160.65i | 0.434393 | + | 0.752390i | ||||
\(362\) | −806.000 | − | 1396.03i | −0.117023 | − | 0.202690i | ||||
\(363\) | −614.000 | −0.0887786 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3655.00 | 0.524141 | ||||||||
\(366\) | 580.000 | + | 1004.59i | 0.0828336 | + | 0.143472i | ||||
\(367\) | −3719.00 | − | 6441.50i | −0.528965 | − | 0.916195i | −0.999429 | − | 0.0337755i | \(-0.989247\pi\) |
0.470464 | − | 0.882419i | \(-0.344086\pi\) | |||||||
\(368\) | 2496.00 | − | 4323.20i | 0.353568 | − | 0.612398i | ||||
\(369\) | −3795.00 | −0.535392 | ||||||||
\(370\) | −7718.00 | + | 13368.0i | −1.08443 | + | 1.87829i | ||||
\(371\) | 930.000 | − | 1610.81i | 0.130143 | − | 0.225415i | ||||
\(372\) | 1184.00 | 0.165020 | ||||||||
\(373\) | 4841.50 | − | 8385.72i | 0.672073 | − | 1.16407i | −0.305242 | − | 0.952275i | \(-0.598737\pi\) |
0.977315 | − | 0.211790i | \(-0.0679294\pi\) | |||||||
\(374\) | −832.000 | − | 1441.07i | −0.115031 | − | 0.199240i | ||||
\(375\) | 663.000 | + | 1148.35i | 0.0912991 | + | 0.158135i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −8000.00 | −1.08856 | ||||||||
\(379\) | −531.000 | − | 919.719i | −0.0719674 | − | 0.124651i | 0.827796 | − | 0.561029i | \(-0.189594\pi\) |
−0.899763 | + | 0.436378i | \(0.856261\pi\) | |||||||
\(380\) | −2040.00 | − | 3533.38i | −0.275394 | − | 0.476997i | ||||
\(381\) | 2158.00 | − | 3737.77i | 0.290178 | − | 0.502602i | ||||
\(382\) | 4984.00 | 0.667549 | ||||||||
\(383\) | −1766.00 | + | 3058.80i | −0.235609 | + | 0.408087i | −0.959450 | − | 0.281880i | \(-0.909042\pi\) |
0.723840 | + | 0.689968i | \(0.242375\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 10880.0 | 1.44025 | ||||||||
\(386\) | −534.000 | + | 924.915i | −0.0704142 | + | 0.121961i | ||||
\(387\) | −1794.00 | − | 3107.30i | −0.235644 | − | 0.408147i | ||||
\(388\) | 952.000 | + | 1648.91i | 0.124563 | + | 0.215750i | ||||
\(389\) | −11063.0 | −1.44194 | −0.720972 | − | 0.692964i | \(-0.756304\pi\) | ||||
−0.720972 | + | 0.692964i | \(0.756304\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1014.00 | −0.131151 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −730.000 | − | 1264.40i | −0.0936988 | − | 0.162291i | ||||
\(394\) | −2556.00 | + | 4427.12i | −0.326826 | + | 0.566079i | ||||
\(395\) | 1292.00 | 0.164576 | ||||||||
\(396\) | 2944.00 | − | 5099.16i | 0.373590 | − | 0.647077i | ||||
\(397\) | −2993.00 | + | 5184.03i | −0.378374 | + | 0.655362i | −0.990826 | − | 0.135145i | \(-0.956850\pi\) |
0.612452 | + | 0.790508i | \(0.290183\pi\) | |||||||
\(398\) | −16952.0 | −2.13499 | ||||||||
\(399\) | −600.000 | + | 1039.23i | −0.0752821 | + | 0.130392i | ||||
\(400\) | 5248.00 | + | 9089.80i | 0.656000 | + | 1.13623i | ||||
\(401\) | 2967.50 | + | 5139.86i | 0.369551 | + | 0.640081i | 0.989495 | − | 0.144565i | \(-0.0461782\pi\) |
−0.619945 | + | 0.784646i | \(0.712845\pi\) | |||||||
\(402\) | 6896.00 | 0.855575 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −6552.00 | −0.806867 | ||||||||
\(405\) | 3578.50 | + | 6198.14i | 0.439055 | + | 0.760465i | ||||
\(406\) | −7880.00 | − | 13648.6i | −0.963246 | − | 1.66839i | ||||
\(407\) | −3632.00 | + | 6290.81i | −0.442338 | + | 0.766152i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −7544.50 | + | 13067.5i | −0.912106 | + | 1.57981i | −0.101023 | + | 0.994884i | \(0.532212\pi\) |
−0.811083 | + | 0.584931i | \(0.801122\pi\) | |||||||
\(410\) | −5610.00 | + | 9716.81i | −0.675752 | + | 1.17044i | ||||
\(411\) | −3342.00 | −0.401092 | ||||||||
\(412\) | −6552.00 | + | 11348.4i | −0.783480 | + | 1.35703i | ||||
\(413\) | 8640.00 | + | 14964.9i | 1.02941 | + | 1.78299i | ||||
\(414\) | −3588.00 | − | 6214.60i | −0.425943 | − | 0.737756i | ||||
\(415\) | 10676.0 | 1.26281 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1824.00 | 0.214201 | ||||||||
\(418\) | −1920.00 | − | 3325.54i | −0.224666 | − | 0.389132i | ||||
\(419\) | 5407.00 | + | 9365.20i | 0.630428 | + | 1.09193i | 0.987464 | + | 0.157843i | \(0.0504538\pi\) |
−0.357037 | + | 0.934090i | \(0.616213\pi\) | |||||||
\(420\) | −2720.00 | + | 4711.18i | −0.316006 | + | 0.547338i | ||||
\(421\) | 6535.00 | 0.756524 | 0.378262 | − | 0.925699i | \(-0.376522\pi\) | ||||
0.378262 | + | 0.925699i | \(0.376522\pi\) | |||||||
\(422\) | 6140.00 | − | 10634.8i | 0.708271 | − | 1.22676i | ||||
\(423\) | 1863.00 | − | 3226.81i | 0.214142 | − | 0.370905i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1066.00 | − | 1846.37i | 0.121667 | − | 0.210734i | ||||
\(426\) | −2616.00 | − | 4531.04i | −0.297525 | − | 0.515328i | ||||
\(427\) | 1450.00 | + | 2511.47i | 0.164334 | + | 0.284634i | ||||
\(428\) | 4176.00 | 0.471623 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −10608.0 | −1.18968 | ||||||||
\(431\) | 990.000 | + | 1714.73i | 0.110642 | + | 0.191637i | 0.916029 | − | 0.401112i | \(-0.131376\pi\) |
−0.805387 | + | 0.592749i | \(0.798043\pi\) | |||||||
\(432\) | −3200.00 | − | 5542.56i | −0.356389 | − | 0.617284i | ||||
\(433\) | 3464.50 | − | 6000.69i | 0.384511 | − | 0.665993i | −0.607190 | − | 0.794556i | \(-0.707703\pi\) |
0.991701 | + | 0.128564i | \(0.0410368\pi\) | |||||||
\(434\) | 5920.00 | 0.654767 | ||||||||
\(435\) | 3349.00 | − | 5800.64i | 0.369132 | − | 0.639355i | ||||
\(436\) | −6536.00 | + | 11320.7i | −0.717930 | + | 1.24349i | ||||
\(437\) | −2340.00 | −0.256150 | ||||||||
\(438\) | −860.000 | + | 1489.56i | −0.0938182 | + | 0.162498i | ||||
\(439\) | 2288.00 | + | 3962.93i | 0.248748 | + | 0.430844i | 0.963179 | − | 0.268862i | \(-0.0866476\pi\) |
−0.714431 | + | 0.699706i | \(0.753314\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1311.00 | −0.141561 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −8812.00 | −0.945081 | −0.472540 | − | 0.881309i | \(-0.656663\pi\) | ||||
−0.472540 | + | 0.881309i | \(0.656663\pi\) | |||||||
\(444\) | −1816.00 | − | 3145.40i | −0.194107 | − | 0.336203i | ||||
\(445\) | 2261.00 | + | 3916.17i | 0.240858 | + | 0.417178i | ||||
\(446\) | 10756.0 | − | 18629.9i | 1.14195 | − | 1.97792i | ||||
\(447\) | 4230.00 | 0.447589 | ||||||||
\(448\) | −5120.00 | + | 8868.10i | −0.539949 | + | 0.935220i | ||||
\(449\) | 959.000 | − | 1661.04i | 0.100797 | − | 0.174586i | −0.811216 | − | 0.584747i | \(-0.801194\pi\) |
0.912013 | + | 0.410160i | \(0.134527\pi\) | |||||||
\(450\) | 15088.0 | 1.58057 | ||||||||
\(451\) | −2640.00 | + | 4572.61i | −0.275638 | + | 0.477419i | ||||
\(452\) | −1308.00 | − | 2265.52i | −0.136113 | − | 0.235755i | ||||
\(453\) | 514.000 | + | 890.274i | 0.0533109 | + | 0.0923371i | ||||
\(454\) | −15896.0 | −1.64325 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5880.50 | − | 10185.3i | −0.601922 | − | 1.04256i | −0.992530 | − | 0.122002i | \(-0.961069\pi\) |
0.390608 | − | 0.920557i | \(-0.372265\pi\) | |||||||
\(458\) | 12596.0 | + | 21816.9i | 1.28509 | + | 2.22585i | ||||
\(459\) | −650.000 | + | 1125.83i | −0.0660989 | + | 0.114487i | ||||
\(460\) | −10608.0 | −1.07522 | ||||||||
\(461\) | 450.500 | − | 780.289i | 0.0455138 | − | 0.0788323i | −0.842371 | − | 0.538898i | \(-0.818841\pi\) |
0.887885 | + | 0.460066i | \(0.152174\pi\) | |||||||
\(462\) | −2560.00 | + | 4434.05i | −0.257796 | + | 0.446517i | ||||
\(463\) | −1372.00 | −0.137715 | −0.0688577 | − | 0.997626i | \(-0.521935\pi\) | ||||
−0.0688577 | + | 0.997626i | \(0.521935\pi\) | |||||||
\(464\) | 6304.00 | − | 10918.8i | 0.630724 | − | 1.09245i | ||||
\(465\) | 1258.00 | + | 2178.92i | 0.125459 | + | 0.217301i | ||||
\(466\) | 8060.00 | + | 13960.3i | 0.801228 | + | 1.38777i | ||||
\(467\) | −6396.00 | −0.633772 | −0.316886 | − | 0.948464i | \(-0.602637\pi\) | ||||
−0.316886 | + | 0.948464i | \(0.602637\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 17240.0 | 1.69738 | ||||||||
\(470\) | −5508.00 | − | 9540.14i | −0.540564 | − | 0.936284i | ||||
\(471\) | −2901.00 | − | 5024.68i | −0.283803 | − | 0.491561i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −4992.00 | −0.485269 | ||||||||
\(474\) | −304.000 | + | 526.543i | −0.0294582 | + | 0.0510231i | ||||
\(475\) | 2460.00 | − | 4260.84i | 0.237626 | − | 0.411581i | ||||
\(476\) | 2080.00 | 0.200287 | ||||||||
\(477\) | 1069.50 | − | 1852.43i | 0.102660 | − | 0.177813i | ||||
\(478\) | 1968.00 | + | 3408.68i | 0.188314 | + | 0.326170i | ||||
\(479\) | 1635.00 | + | 2831.90i | 0.155960 | + | 0.270131i | 0.933408 | − | 0.358816i | \(-0.116819\pi\) |
−0.777448 | + | 0.628947i | \(0.783486\pi\) | |||||||
\(480\) | −8704.00 | −0.827670 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 3772.00 | 0.356452 | ||||||||
\(483\) | 1560.00 | + | 2702.00i | 0.146962 | + | 0.254545i | ||||
\(484\) | 1228.00 | + | 2126.96i | 0.115327 | + | 0.199752i | ||||
\(485\) | −2023.00 | + | 3503.94i | −0.189401 | + | 0.328053i | ||||
\(486\) | −14168.0 | −1.32237 | ||||||||
\(487\) | 9960.00 | − | 17251.2i | 0.926757 | − | 1.60519i | 0.138046 | − | 0.990426i | \(-0.455918\pi\) |
0.788711 | − | 0.614765i | \(-0.210749\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −4720.00 | −0.436494 | ||||||||
\(490\) | −1938.00 | + | 3356.71i | −0.178673 | + | 0.309471i | ||||
\(491\) | −3276.00 | − | 5674.20i | −0.301108 | − | 0.521534i | 0.675280 | − | 0.737562i | \(-0.264023\pi\) |
−0.976387 | + | 0.216028i | \(0.930690\pi\) | |||||||
\(492\) | −1320.00 | − | 2286.31i | −0.120956 | − | 0.209501i | ||||
\(493\) | −2561.00 | −0.233959 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 12512.0 | 1.13611 | ||||||||
\(496\) | 2368.00 | + | 4101.50i | 0.214368 | + | 0.371296i | ||||
\(497\) | −6540.00 | − | 11327.6i | −0.590260 | − | 1.02236i | ||||
\(498\) | −2512.00 | + | 4350.91i | −0.226035 | + | 0.391504i | ||||
\(499\) | −1746.00 | −0.156637 | −0.0783183 | − | 0.996928i | \(-0.524955\pi\) | ||||
−0.0783183 | + | 0.996928i | \(0.524955\pi\) | |||||||
\(500\) | 2652.00 | − | 4593.40i | 0.237202 | − | 0.410846i | ||||
\(501\) | 280.000 | − | 484.974i | 0.0249690 | − | 0.0432476i | ||||
\(502\) | 10920.0 | 0.970883 | ||||||||
\(503\) | −7346.00 | + | 12723.6i | −0.651177 | + | 1.12787i | 0.331661 | + | 0.943399i | \(0.392391\pi\) |
−0.982838 | + | 0.184473i | \(0.940942\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6961.50 | − | 12057.7i | −0.613431 | − | 1.06249i | ||||
\(506\) | −9984.00 | −0.877160 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −17264.0 | −1.50781 | ||||||||
\(509\) | 4038.50 | + | 6994.89i | 0.351677 | + | 0.609122i | 0.986543 | − | 0.163500i | \(-0.0522784\pi\) |
−0.634867 | + | 0.772622i | \(0.718945\pi\) | |||||||
\(510\) | 884.000 | + | 1531.13i | 0.0767533 | + | 0.132941i | ||||
\(511\) | −2150.00 | + | 3723.91i | −0.186126 | + | 0.322380i | ||||
\(512\) | −16384.0 | −1.41421 | ||||||||
\(513\) | −1500.00 | + | 2598.08i | −0.129097 | + | 0.223602i | ||||
\(514\) | −3770.00 | + | 6529.83i | −0.323517 | + | 0.560347i | ||||
\(515\) | −27846.0 | −2.38260 | ||||||||
\(516\) | 1248.00 | − | 2161.60i | 0.106473 | − | 0.184417i | ||||
\(517\) | −2592.00 | − | 4489.48i | −0.220495 | − | 0.381909i | ||||
\(518\) | −9080.00 | − | 15727.0i | −0.770178 | − | 1.33399i | ||||
\(519\) | 2652.00 | 0.224296 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 11247.0 | 0.945758 | 0.472879 | − | 0.881127i | \(-0.343215\pi\) | ||||
0.472879 | + | 0.881127i | \(0.343215\pi\) | |||||||
\(522\) | −9062.00 | − | 15695.8i | −0.759833 | − | 1.31607i | ||||
\(523\) | −1366.00 | − | 2365.98i | −0.114208 | − | 0.197815i | 0.803255 | − | 0.595636i | \(-0.203100\pi\) |
−0.917463 | + | 0.397821i | \(0.869767\pi\) | |||||||
\(524\) | −2920.00 | + | 5057.59i | −0.243437 | + | 0.421645i | ||||
\(525\) | −6560.00 | −0.545337 | ||||||||
\(526\) | 8064.00 | − | 13967.3i | 0.668455 | − | 1.15780i | ||||
\(527\) | 481.000 | − | 833.116i | 0.0397584 | − | 0.0688636i | ||||
\(528\) | −4096.00 | −0.337605 | ||||||||
\(529\) | 3041.50 | − | 5268.03i | 0.249979 | − | 0.432977i | ||||
\(530\) | −3162.00 | − | 5476.74i | −0.259148 | − | 0.448858i | ||||
\(531\) | 9936.00 | + | 17209.7i | 0.812026 | + | 1.40647i | ||||
\(532\) | 4800.00 | 0.391177 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −2128.00 | −0.172449 | ||||||||
\(535\) | 4437.00 | + | 7685.11i | 0.358557 | + | 0.621040i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −4264.00 | + | 7385.46i | −0.342654 | + | 0.593494i | ||||
\(538\) | −16024.0 | −1.28410 | ||||||||
\(539\) | −912.000 | + | 1579.63i | −0.0728806 | + | 0.126233i | ||||
\(540\) | −6800.00 | + | 11777.9i | −0.541899 | + | 0.938596i | ||||
\(541\) | 18375.0 | 1.46026 | 0.730132 | − | 0.683306i | \(-0.239458\pi\) | ||||
0.730132 | + | 0.683306i | \(0.239458\pi\) | |||||||
\(542\) | 8592.00 | − | 14881.8i | 0.680919 | − | 1.17939i | ||||
\(543\) | 403.000 | + | 698.016i | 0.0318497 | + | 0.0551653i | ||||
\(544\) | 1664.00 | + | 2882.13i | 0.131146 | + | 0.227151i | ||||
\(545\) | −27778.0 | −2.18326 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10346.0 | −0.808708 | −0.404354 | − | 0.914603i | \(-0.632504\pi\) | ||||
−0.404354 | + | 0.914603i | \(0.632504\pi\) | |||||||
\(548\) | 6684.00 | + | 11577.0i | 0.521033 | + | 0.902456i | ||||
\(549\) | 1667.50 | + | 2888.19i | 0.129631 | + | 0.224527i | ||||
\(550\) | 10496.0 | − | 18179.6i | 0.813729 | − | 1.40942i | ||||
\(551\) | −5910.00 | −0.456941 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −760.000 | + | 1316.36i | −0.0584421 | + | 0.101225i | ||||
\(554\) | 22204.0 | 1.70281 | ||||||||
\(555\) | 3859.00 | − | 6683.98i | 0.295145 | − | 0.511206i | ||||
\(556\) | −3648.00 | − | 6318.52i | −0.278255 | − | 0.481951i | ||||
\(557\) | 172.500 | + | 298.779i | 0.0131222 | + | 0.0227283i | 0.872512 | − | 0.488593i | \(-0.162490\pi\) |
−0.859390 | + | 0.511321i | \(0.829156\pi\) | |||||||
\(558\) | 6808.00 | 0.516498 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −21760.0 | −1.64201 | ||||||||
\(561\) | 416.000 | + | 720.533i | 0.0313075 | + | 0.0542263i | ||||
\(562\) | 11114.0 | + | 19250.0i | 0.834192 | + | 1.44486i | ||||
\(563\) | 4290.00 | − | 7430.50i | 0.321140 | − | 0.556231i | −0.659583 | − | 0.751631i | \(-0.729267\pi\) |
0.980724 | + | 0.195400i | \(0.0626006\pi\) | |||||||
\(564\) | 2592.00 | 0.193516 | ||||||||
\(565\) | 2779.50 | − | 4814.24i | 0.206964 | − | 0.358472i | ||||
\(566\) | 6240.00 | − | 10808.0i | 0.463404 | − | 0.802640i | ||||
\(567\) | −8420.00 | −0.623645 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 9841.00 | + | 17045.1i | 0.725055 | + | 1.25583i | 0.958951 | + | 0.283570i | \(0.0915189\pi\) |
−0.233897 | + | 0.972261i | \(0.575148\pi\) | |||||||
\(570\) | 2040.00 | + | 3533.38i | 0.149906 | + | 0.259644i | ||||
\(571\) | 26624.0 | 1.95128 | 0.975639 | − | 0.219382i | \(-0.0704042\pi\) | ||||
0.975639 | + | 0.219382i | \(0.0704042\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −2492.00 | −0.181684 | ||||||||
\(574\) | −6600.00 | − | 11431.5i | −0.479928 | − | 0.831260i | ||||
\(575\) | −6396.00 | − | 11078.2i | −0.463881 | − | 0.803466i | ||||
\(576\) | −5888.00 | + | 10198.3i | −0.425926 | + | 0.737725i | ||||
\(577\) | 14101.0 | 1.01739 | 0.508694 | − | 0.860948i | \(-0.330129\pi\) | ||||
0.508694 | + | 0.860948i | \(0.330129\pi\) | |||||||
\(578\) | −9488.00 | + | 16433.7i | −0.682783 | + | 1.18262i | ||||
\(579\) | 267.000 | − | 462.458i | 0.0191643 | − | 0.0331936i | ||||
\(580\) | −26792.0 | −1.91806 | ||||||||
\(581\) | −6280.00 | + | 10877.3i | −0.448431 | + | 0.776705i | ||||
\(582\) | −952.000 | − | 1648.91i | −0.0678036 | − | 0.117439i | ||||
\(583\) | −1488.00 | − | 2577.29i | −0.105706 | − | 0.183088i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 33204.0 | 2.34069 | ||||||||
\(587\) | 704.000 | + | 1219.36i | 0.0495012 | + | 0.0857386i | 0.889714 | − | 0.456518i | \(-0.150904\pi\) |
−0.840213 | + | 0.542256i | \(0.817570\pi\) | |||||||
\(588\) | −456.000 | − | 789.815i | −0.0319815 | − | 0.0553936i | ||||
\(589\) | 1110.00 | − | 1922.58i | 0.0776515 | − | 0.134496i | ||||
\(590\) | 58752.0 | 4.09963 | ||||||||
\(591\) | 1278.00 | − | 2213.56i | 0.0889508 | − | 0.154067i | ||||
\(592\) | 7264.00 | − | 12581.6i | 0.504305 | − | 0.873482i | ||||
\(593\) | 1241.00 | 0.0859389 | 0.0429694 | − | 0.999076i | \(-0.486318\pi\) | ||||
0.0429694 | + | 0.999076i | \(0.486318\pi\) | |||||||
\(594\) | −6400.00 | + | 11085.1i | −0.442079 | + | 0.765704i | ||||
\(595\) | 2210.00 | + | 3827.83i | 0.152271 | + | 0.263741i | ||||
\(596\) | −8460.00 | − | 14653.1i | −0.581435 | − | 1.00707i | ||||
\(597\) | 8476.00 | 0.581071 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 11078.0 | 0.755651 | 0.377825 | − | 0.925877i | \(-0.376672\pi\) | ||||
0.377825 | + | 0.925877i | \(0.376672\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6908.50 | + | 11965.9i | 0.468891 | + | 0.812143i | 0.999368 | − | 0.0355563i | \(-0.0113203\pi\) |
−0.530477 | + | 0.847700i | \(0.677987\pi\) | |||||||
\(602\) | 6240.00 | − | 10808.0i | 0.422464 | − | 0.731729i | ||||
\(603\) | 19826.0 | 1.33893 | ||||||||
\(604\) | 2056.00 | − | 3561.10i | 0.138506 | − | 0.239899i | ||||
\(605\) | −2609.50 | + | 4519.79i | −0.175357 | + | 0.303728i | ||||
\(606\) | 6552.00 | 0.439203 | ||||||||
\(607\) | −4135.00 | + | 7162.03i | −0.276498 | + | 0.478909i | −0.970512 | − | 0.241053i | \(-0.922507\pi\) |
0.694014 | + | 0.719962i | \(0.255841\pi\) | |||||||
\(608\) | 3840.00 | + | 6651.08i | 0.256139 | + | 0.443646i | ||||
\(609\) | 3940.00 | + | 6824.28i | 0.262162 | + | 0.454078i | ||||
\(610\) | 9860.00 | 0.654459 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 2392.00 | 0.157992 | ||||||||
\(613\) | 11136.5 | + | 19289.0i | 0.733767 | + | 1.27092i | 0.955262 | + | 0.295760i | \(0.0955728\pi\) |
−0.221496 | + | 0.975161i | \(0.571094\pi\) | |||||||
\(614\) | −17356.0 | − | 30061.5i | −1.14077 | − | 1.97587i | ||||
\(615\) | 2805.00 | − | 4858.40i | 0.183916 | − | 0.318552i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −9494.50 | + | 16445.0i | −0.619504 | + | 1.07301i | 0.370072 | + | 0.929003i | \(0.379333\pi\) |
−0.989576 | + | 0.144010i | \(0.954000\pi\) | |||||||
\(618\) | 6552.00 | − | 11348.4i | 0.426473 | − | 0.738672i | ||||
\(619\) | −72.0000 | −0.00467516 | −0.00233758 | − | 0.999997i | \(-0.500744\pi\) | ||||
−0.00233758 | + | 0.999997i | \(0.500744\pi\) | |||||||
\(620\) | 5032.00 | − | 8715.68i | 0.325952 | − | 0.564565i | ||||
\(621\) | 3900.00 | + | 6755.00i | 0.252015 | + | 0.436504i | ||||
\(622\) | 17316.0 | + | 29992.2i | 1.11625 | + | 1.93340i | ||||
\(623\) | −5320.00 | −0.342121 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9229.00 | −0.590656 | ||||||||
\(626\) | −10500.0 | − | 18186.5i | −0.670390 | − | 1.16115i | ||||
\(627\) | 960.000 | + | 1662.77i | 0.0611463 | + | 0.105908i | ||||
\(628\) | −11604.0 | + | 20098.7i | −0.737341 | + | 1.27711i | ||||
\(629\) | −2951.00 | −0.187065 | ||||||||
\(630\) | −15640.0 | + | 27089.3i | −0.989067 | + | 1.71312i | ||||
\(631\) | −11690.0 | + | 20247.7i | −0.737514 | + | 1.27741i | 0.216097 | + | 0.976372i | \(0.430667\pi\) |
−0.953611 | + | 0.301040i | \(0.902666\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −3070.00 | + | 5317.40i | −0.192767 | + | 0.333882i | ||||
\(634\) | −12826.0 | − | 22215.3i | −0.803447 | − | 1.39161i | ||||
\(635\) | −18343.0 | − | 31771.0i | −1.14633 | − | 1.98550i | ||||
\(636\) | 1488.00 | 0.0927721 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −25216.0 | −1.56475 | ||||||||
\(639\) | −7521.00 | − | 13026.8i | −0.465612 | − | 0.806464i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −3191.50 | + | 5527.84i | −0.196656 | + | 0.340619i | −0.947442 | − | 0.319927i | \(-0.896342\pi\) |
0.750786 | + | 0.660546i | \(0.229675\pi\) | |||||||
\(642\) | −4176.00 | −0.256719 | ||||||||
\(643\) | −8552.00 | + | 14812.5i | −0.524507 | + | 0.908473i | 0.475086 | + | 0.879939i | \(0.342417\pi\) |
−0.999593 | + | 0.0285332i | \(0.990916\pi\) | |||||||
\(644\) | 6240.00 | − | 10808.0i | 0.381817 | − | 0.661327i | ||||
\(645\) | 5304.00 | 0.323790 | ||||||||
\(646\) | 780.000 | − | 1351.00i | 0.0475057 | − | 0.0822823i | ||||
\(647\) | −3497.00 | − | 6056.98i | −0.212490 | − | 0.368044i | 0.740003 | − | 0.672604i | \(-0.234824\pi\) |
−0.952493 | + | 0.304560i | \(0.901491\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 27648.0 | 1.67223 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −2960.00 | −0.178205 | ||||||||
\(652\) | 9440.00 | + | 16350.6i | 0.567023 | + | 0.982112i | ||||
\(653\) | 2625.00 | + | 4546.63i | 0.157311 | + | 0.272471i | 0.933898 | − | 0.357539i | \(-0.116384\pi\) |
−0.776587 | + | 0.630010i | \(0.783051\pi\) | |||||||
\(654\) | 6536.00 | − | 11320.7i | 0.390792 | − | 0.676871i | ||||
\(655\) | −12410.0 | −0.740304 | ||||||||
\(656\) | 5280.00 | − | 9145.23i | 0.314252 | − | 0.544301i | ||||
\(657\) | −2472.50 | + | 4282.50i | −0.146821 | + | 0.254301i | ||||
\(658\) | 12960.0 | 0.767832 | ||||||||
\(659\) | 2170.00 | − | 3758.55i | 0.128272 | − | 0.222173i | −0.794735 | − | 0.606956i | \(-0.792390\pi\) |
0.923007 | + | 0.384783i | \(0.125724\pi\) | |||||||
\(660\) | 4352.00 | + | 7537.89i | 0.256669 | + | 0.444563i | ||||
\(661\) | −2089.50 | − | 3619.12i | −0.122953 | − | 0.212961i | 0.797978 | − | 0.602687i | \(-0.205903\pi\) |
−0.920931 | + | 0.389726i | \(0.872570\pi\) | |||||||
\(662\) | 13952.0 | 0.819124 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 5100.00 | + | 8833.46i | 0.297398 | + | 0.515108i | ||||
\(666\) | −10442.0 | − | 18086.1i | −0.607536 | − | 1.05228i | ||||
\(667\) | −7683.00 | + | 13307.3i | −0.446007 | + | 0.772508i | ||||
\(668\) | −2240.00 | −0.129743 | ||||||||
\(669\) | −5378.00 | + | 9314.97i | −0.310800 | + | 0.538322i | ||||
\(670\) | 29308.0 | − | 50762.9i | 1.68995 | − | 2.92708i | ||||
\(671\) | 4640.00 | 0.266953 | ||||||||
\(672\) | 5120.00 | − | 8868.10i | 0.293911 | − | 0.509069i | ||||
\(673\) | −11433.5 | − | 19803.4i | −0.654872 | − | 1.13427i | −0.981926 | − | 0.189266i | \(-0.939389\pi\) |
0.327054 | − | 0.945006i | \(-0.393944\pi\) | |||||||
\(674\) | −3666.00 | − | 6349.70i | −0.209509 | − | 0.362880i | ||||
\(675\) | −16400.0 | −0.935165 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 5410.00 | 0.307124 | 0.153562 | − | 0.988139i | \(-0.450925\pi\) | ||||
0.153562 | + | 0.988139i | \(0.450925\pi\) | |||||||
\(678\) | 1308.00 | + | 2265.52i | 0.0740906 | + | 0.128329i | ||||
\(679\) | −2380.00 | − | 4122.28i | −0.134515 | − | 0.232988i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 7948.00 | 0.447236 | ||||||||
\(682\) | 4736.00 | − | 8202.99i | 0.265910 | − | 0.460570i | ||||
\(683\) | −6789.00 | + | 11758.9i | −0.380342 | + | 0.658772i | −0.991111 | − | 0.133037i | \(-0.957527\pi\) |
0.610769 | + | 0.791809i | \(0.290861\pi\) | |||||||
\(684\) | 5520.00 | 0.308571 | ||||||||
\(685\) | −14203.5 | + | 24601.2i | −0.792245 | + | 1.37221i | ||||
\(686\) | 11440.0 | + | 19814.7i | 0.636707 | + | 1.10281i | ||||
\(687\) | −6298.00 | − | 10908.5i | −0.349758 | − | 0.605798i | ||||
\(688\) | 9984.00 | 0.553251 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 10608.0 | 0.585275 | ||||||||
\(691\) | 6372.00 | + | 11036.6i | 0.350799 | + | 0.607602i | 0.986390 | − | 0.164424i | \(-0.0525766\pi\) |
−0.635590 | + | 0.772026i | \(0.719243\pi\) | |||||||
\(692\) | −5304.00 | − | 9186.80i | −0.291370 | − | 0.504667i | ||||
\(693\) | −7360.00 | + | 12747.9i | −0.403439 | + | 0.698777i | ||||
\(694\) | −28920.0 | −1.58183 | ||||||||
\(695\) | 7752.00 | − | 13426.9i | 0.423094 | − | 0.732820i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2145.00 | −0.116568 | ||||||||
\(698\) | 10516.0 | − | 18214.2i | 0.570253 | − | 0.987707i | ||||
\(699\) | −4030.00 | − | 6980.16i | −0.218067 | − | 0.377703i | ||||
\(700\) | 13120.0 | + | 22724.5i | 0.708413 | + | 1.22701i | ||||
\(701\) | 16406.0 | 0.883946 | 0.441973 | − | 0.897028i | \(-0.354279\pi\) | ||||
0.441973 | + | 0.897028i | \(0.354279\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −6810.00 | −0.365354 | ||||||||
\(704\) | 8192.00 | + | 14189.0i | 0.438562 | + | 0.759612i | ||||
\(705\) | 2754.00 | + | 4770.07i | 0.147123 | + | 0.254824i | ||||
\(706\) | −6326.00 | + | 10957.0i | −0.337227 | + | 0.584094i | ||||
\(707\) | 16380.0 | 0.871334 | ||||||||
\(708\) | −6912.00 | + | 11971.9i | −0.366905 | + | 0.635498i | ||||
\(709\) | 354.500 | − | 614.012i | 0.0187779 | − | 0.0325243i | −0.856484 | − | 0.516174i | \(-0.827356\pi\) |
0.875262 | + | 0.483650i | \(0.160689\pi\) | |||||||
\(710\) | −44472.0 | −2.35071 | ||||||||
\(711\) | −874.000 | + | 1513.81i | −0.0461006 | + | 0.0798487i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −2886.00 | − | 4998.70i | −0.151587 | − | 0.262556i | ||||
\(714\) | −2080.00 | −0.109022 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 34112.0 | 1.78048 | ||||||||
\(717\) | −984.000 | − | 1704.34i | −0.0512527 | − | 0.0887722i | ||||
\(718\) | 20136.0 | + | 34876.6i | 1.04661 | + | 1.81279i | ||||
\(719\) | 3822.00 | − | 6619.90i | 0.198243 | − | 0.343367i | −0.749716 | − | 0.661760i | \(-0.769810\pi\) |
0.947959 | + | 0.318393i | \(0.103143\pi\) | |||||||
\(720\) | −25024.0 | −1.29526 | ||||||||
\(721\) | 16380.0 | − | 28371.0i | 0.846079 | − | 1.46545i | ||||
\(722\) | −11918.0 | + | 20642.6i | −0.614324 | + | 1.06404i | ||||
\(723\) | −1886.00 | −0.0970140 | ||||||||
\(724\) | 1612.00 | − | 2792.07i | 0.0827479 | − | 0.143324i | ||||
\(725\) | −16154.0 | − | 27979.5i | −0.827510 | − | 1.43329i | ||||
\(726\) | −1228.00 | − | 2126.96i | −0.0627760 | − | 0.108731i | ||||
\(727\) | −15808.0 | −0.806446 | −0.403223 | − | 0.915102i | \(-0.632110\pi\) | ||||
−0.403223 | + | 0.915102i | \(0.632110\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −4283.00 | −0.217599 | ||||||||
\(730\) | 7310.00 | + | 12661.3i | 0.370624 | + | 0.641939i | ||||
\(731\) | −1014.00 | − | 1756.30i | −0.0513053 | − | 0.0888633i | ||||
\(732\) | −1160.00 | + | 2009.18i | −0.0585722 | + | 0.101450i | ||||
\(733\) | 2583.00 | 0.130157 | 0.0650786 | − | 0.997880i | \(-0.479270\pi\) | ||||
0.0650786 | + | 0.997880i | \(0.479270\pi\) | |||||||
\(734\) | 14876.0 | − | 25766.0i | 0.748070 | − | 1.29569i | ||||
\(735\) | 969.000 | − | 1678.36i | 0.0486287 | − | 0.0842274i | ||||
\(736\) | 19968.0 | 1.00004 | ||||||||
\(737\) | 13792.0 | − | 23888.4i | 0.689328 | − | 1.19395i | ||||
\(738\) | −7590.00 | − | 13146.3i | −0.378580 | − | 0.655719i | ||||
\(739\) | 2038.00 | + | 3529.92i | 0.101447 | + | 0.175711i | 0.912281 | − | 0.409565i | \(-0.134320\pi\) |
−0.810834 | + | 0.585276i | \(0.800986\pi\) | |||||||
\(740\) | −30872.0 | −1.53362 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 7440.00 | 0.368101 | ||||||||
\(743\) | −17028.0 | − | 29493.4i | −0.840776 | − | 1.45627i | −0.889239 | − | 0.457442i | \(-0.848766\pi\) |
0.0484632 | − | 0.998825i | \(-0.484568\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 17977.5 | − | 31137.9i | 0.884087 | − | 1.53128i | ||||
\(746\) | 38732.0 | 1.90091 | ||||||||
\(747\) | −7222.00 | + | 12508.9i | −0.353734 | + | 0.612685i | ||||
\(748\) | 1664.00 | − | 2882.13i | 0.0813394 | − | 0.140884i | ||||
\(749\) | −10440.0 | −0.509305 | ||||||||
\(750\) | −2652.00 | + | 4593.40i | −0.129116 | + | 0.223636i | ||||
\(751\) | 182.000 | + | 315.233i | 0.00884324 | + | 0.0153169i | 0.870413 | − | 0.492322i | \(-0.163852\pi\) |
−0.861570 | + | 0.507639i | \(0.830518\pi\) | |||||||
\(752\) | 5184.00 | + | 8978.95i | 0.251384 | + | 0.435410i | ||||
\(753\) | −5460.00 | −0.264241 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8738.00 | 0.421203 | ||||||||
\(756\) | −8000.00 | − | 13856.4i | −0.384864 | − | 0.666604i | ||||
\(757\) | 3457.00 | + | 5987.70i | 0.165980 | + | 0.287486i | 0.937003 | − | 0.349322i | \(-0.113588\pi\) |
−0.771023 | + | 0.636807i | \(0.780255\pi\) | |||||||
\(758\) | 2124.00 | − | 3678.88i | 0.101777 | − | 0.176283i | ||||
\(759\) | 4992.00 | 0.238733 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 6991.00 | − | 12108.8i | 0.333014 | − | 0.576797i | −0.650087 | − | 0.759859i | \(-0.725268\pi\) |
0.983101 | + | 0.183062i | \(0.0586011\pi\) | |||||||
\(762\) | 17264.0 | 0.820746 | ||||||||
\(763\) | 16340.0 | − | 28301.7i | 0.775292 | − | 1.34284i | ||||
\(764\) | 4984.00 | + | 8632.54i | 0.236014 | + | 0.408788i | ||||
\(765\) | 2541.50 | + | 4402.01i | 0.120115 | + | 0.208046i | ||||
\(766\) | −14128.0 | −0.666404 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 8192.00 | 0.384900 | ||||||||
\(769\) | −9033.00 | − | 15645.6i | −0.423587 | − | 0.733674i | 0.572700 | − | 0.819765i | \(-0.305896\pi\) |
−0.996287 | + | 0.0860907i | \(0.972563\pi\) | |||||||
\(770\) | 21760.0 | + | 37689.4i | 1.01841 | + | 1.76394i | ||||
\(771\) | 1885.00 | − |