Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [54,4,Mod(19,54)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(54, 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("54.19");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 54 = 2 \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 54.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: | \(3.18610314031\) |
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: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 18) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 19.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 54.19 |
Dual form | 54.4.c.a.37.1 |
$q$-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 \(\left(\mathbb{Z}/54\mathbb{Z}\right)^\times\).
\(n\) | \(29\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | − | 1.73205i | 0.353553 | − | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.00000 | − | 3.46410i | −0.250000 | − | 0.433013i | ||||
\(5\) | −4.50000 | − | 7.79423i | −0.402492 | − | 0.697137i | 0.591534 | − | 0.806280i | \(-0.298523\pi\) |
−0.994026 | + | 0.109143i | \(0.965189\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 15.5000 | − | 26.8468i | 0.836921 | − | 1.44959i | −0.0555351 | − | 0.998457i | \(-0.517686\pi\) |
0.892456 | − | 0.451134i | \(-0.148980\pi\) | |||||||
\(8\) | −8.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −18.0000 | −0.569210 | ||||||||
\(11\) | −7.50000 | + | 12.9904i | −0.205576 | + | 0.356068i | −0.950316 | − | 0.311287i | \(-0.899240\pi\) |
0.744740 | + | 0.667355i | \(0.232573\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 18.5000 | + | 32.0429i | 0.394691 | + | 0.683624i | 0.993062 | − | 0.117595i | \(-0.0375185\pi\) |
−0.598371 | + | 0.801219i | \(0.704185\pi\) | |||||||
\(14\) | −31.0000 | − | 53.6936i | −0.591793 | − | 1.02502i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −8.00000 | + | 13.8564i | −0.125000 | + | 0.216506i | ||||
\(17\) | 42.0000 | 0.599206 | 0.299603 | − | 0.954064i | \(-0.403146\pi\) | ||||
0.299603 | + | 0.954064i | \(0.403146\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −28.0000 | −0.338086 | −0.169043 | − | 0.985609i | \(-0.554068\pi\) | ||||
−0.169043 | + | 0.985609i | \(0.554068\pi\) | |||||||
\(20\) | −18.0000 | + | 31.1769i | −0.201246 | + | 0.348569i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 15.0000 | + | 25.9808i | 0.145364 | + | 0.251778i | ||||
\(23\) | 97.5000 | + | 168.875i | 0.883920 | + | 1.53099i | 0.846947 | + | 0.531678i | \(0.178438\pi\) |
0.0369731 | + | 0.999316i | \(0.488228\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 22.0000 | − | 38.1051i | 0.176000 | − | 0.304841i | ||||
\(26\) | 74.0000 | 0.558177 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −124.000 | −0.836921 | ||||||||
\(29\) | 55.5000 | − | 96.1288i | 0.355382 | − | 0.615540i | −0.631801 | − | 0.775131i | \(-0.717684\pi\) |
0.987183 | + | 0.159590i | \(0.0510173\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 102.500 | + | 177.535i | 0.593856 | + | 1.02859i | 0.993707 | + | 0.112009i | \(0.0357285\pi\) |
−0.399851 | + | 0.916580i | \(0.630938\pi\) | |||||||
\(32\) | 16.0000 | + | 27.7128i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 42.0000 | − | 72.7461i | 0.211851 | − | 0.366937i | ||||
\(35\) | −279.000 | −1.34742 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −166.000 | −0.737574 | −0.368787 | − | 0.929514i | \(-0.620227\pi\) | ||||
−0.368787 | + | 0.929514i | \(0.620227\pi\) | |||||||
\(38\) | −28.0000 | + | 48.4974i | −0.119532 | + | 0.207035i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 36.0000 | + | 62.3538i | 0.142302 | + | 0.246475i | ||||
\(41\) | −130.500 | − | 226.033i | −0.497090 | − | 0.860985i | 0.502905 | − | 0.864342i | \(-0.332265\pi\) |
−0.999994 | + | 0.00335732i | \(0.998931\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 21.5000 | − | 37.2391i | 0.0762493 | − | 0.132068i | −0.825380 | − | 0.564578i | \(-0.809039\pi\) |
0.901629 | + | 0.432511i | \(0.142372\pi\) | |||||||
\(44\) | 60.0000 | 0.205576 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 390.000 | 1.25005 | ||||||||
\(47\) | 88.5000 | − | 153.286i | 0.274661 | − | 0.475726i | −0.695389 | − | 0.718634i | \(-0.744768\pi\) |
0.970049 | + | 0.242907i | \(0.0781011\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −309.000 | − | 535.204i | −0.900875 | − | 1.56036i | ||||
\(50\) | −44.0000 | − | 76.2102i | −0.124451 | − | 0.215555i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 74.0000 | − | 128.172i | 0.197345 | − | 0.341812i | ||||
\(53\) | −114.000 | −0.295455 | −0.147727 | − | 0.989028i | \(-0.547196\pi\) | ||||
−0.147727 | + | 0.989028i | \(0.547196\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 135.000 | 0.330971 | ||||||||
\(56\) | −124.000 | + | 214.774i | −0.295896 | + | 0.512508i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −111.000 | − | 192.258i | −0.251293 | − | 0.435253i | ||||
\(59\) | 79.5000 | + | 137.698i | 0.175424 | + | 0.303843i | 0.940308 | − | 0.340325i | \(-0.110537\pi\) |
−0.764884 | + | 0.644168i | \(0.777204\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −95.5000 | + | 165.411i | −0.200451 | + | 0.347192i | −0.948674 | − | 0.316256i | \(-0.897574\pi\) |
0.748223 | + | 0.663448i | \(0.230907\pi\) | |||||||
\(62\) | 410.000 | 0.839840 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 64.0000 | 0.125000 | ||||||||
\(65\) | 166.500 | − | 288.386i | 0.317720 | − | 0.550307i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 210.500 | + | 364.597i | 0.383831 | + | 0.664815i | 0.991606 | − | 0.129294i | \(-0.0412712\pi\) |
−0.607775 | + | 0.794109i | \(0.707938\pi\) | |||||||
\(68\) | −84.0000 | − | 145.492i | −0.149801 | − | 0.259464i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −279.000 | + | 483.242i | −0.476384 | + | 0.825121i | ||||
\(71\) | −156.000 | −0.260758 | −0.130379 | − | 0.991464i | \(-0.541619\pi\) | ||||
−0.130379 | + | 0.991464i | \(0.541619\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 182.000 | 0.291801 | 0.145901 | − | 0.989299i | \(-0.453392\pi\) | ||||
0.145901 | + | 0.989299i | \(0.453392\pi\) | |||||||
\(74\) | −166.000 | + | 287.520i | −0.260772 | + | 0.451670i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 56.0000 | + | 96.9948i | 0.0845216 | + | 0.146396i | ||||
\(77\) | 232.500 | + | 402.702i | 0.344102 | + | 0.596002i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −566.500 | + | 981.207i | −0.806788 | + | 1.39740i | 0.108290 | + | 0.994119i | \(0.465463\pi\) |
−0.915078 | + | 0.403278i | \(0.867871\pi\) | |||||||
\(80\) | 144.000 | 0.201246 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −522.000 | −0.702991 | ||||||||
\(83\) | −541.500 | + | 937.906i | −0.716113 | + | 1.24034i | 0.246416 | + | 0.969164i | \(0.420747\pi\) |
−0.962529 | + | 0.271179i | \(0.912586\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −189.000 | − | 327.358i | −0.241176 | − | 0.417728i | ||||
\(86\) | −43.0000 | − | 74.4782i | −0.0539164 | − | 0.0933859i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 60.0000 | − | 103.923i | 0.0726821 | − | 0.125889i | ||||
\(89\) | 1050.00 | 1.25056 | 0.625280 | − | 0.780401i | \(-0.284985\pi\) | ||||
0.625280 | + | 0.780401i | \(0.284985\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1147.00 | 1.32130 | ||||||||
\(92\) | 390.000 | − | 675.500i | 0.441960 | − | 0.765497i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −177.000 | − | 306.573i | −0.194214 | − | 0.336389i | ||||
\(95\) | 126.000 | + | 218.238i | 0.136077 | + | 0.235693i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 450.500 | − | 780.289i | 0.471560 | − | 0.816766i | −0.527910 | − | 0.849300i | \(-0.677024\pi\) |
0.999471 | + | 0.0325338i | \(0.0103576\pi\) | |||||||
\(98\) | −1236.00 | −1.27403 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −176.000 | −0.176000 | ||||||||
\(101\) | 193.500 | − | 335.152i | 0.190633 | − | 0.330187i | −0.754827 | − | 0.655924i | \(-0.772279\pi\) |
0.945460 | + | 0.325737i | \(0.105613\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −275.500 | − | 477.180i | −0.263552 | − | 0.456485i | 0.703631 | − | 0.710565i | \(-0.251561\pi\) |
−0.967183 | + | 0.254080i | \(0.918227\pi\) | |||||||
\(104\) | −148.000 | − | 256.344i | −0.139544 | − | 0.241698i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −114.000 | + | 197.454i | −0.104459 | + | 0.180928i | ||||
\(107\) | 12.0000 | 0.0108419 | 0.00542095 | − | 0.999985i | \(-0.498274\pi\) | ||||
0.00542095 | + | 0.999985i | \(0.498274\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −502.000 | −0.441127 | −0.220564 | − | 0.975373i | \(-0.570790\pi\) | ||||
−0.220564 | + | 0.975373i | \(0.570790\pi\) | |||||||
\(110\) | 135.000 | − | 233.827i | 0.117016 | − | 0.202677i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 248.000 | + | 429.549i | 0.209230 | + | 0.362398i | ||||
\(113\) | −700.500 | − | 1213.30i | −0.583164 | − | 1.01007i | −0.995102 | − | 0.0988572i | \(-0.968481\pi\) |
0.411938 | − | 0.911212i | \(-0.364852\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 877.500 | − | 1519.87i | 0.711542 | − | 1.23243i | ||||
\(116\) | −444.000 | −0.355382 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 318.000 | 0.248087 | ||||||||
\(119\) | 651.000 | − | 1127.57i | 0.501488 | − | 0.868603i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 553.000 | + | 957.824i | 0.415477 | + | 0.719627i | ||||
\(122\) | 191.000 | + | 330.822i | 0.141740 | + | 0.245502i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 410.000 | − | 710.141i | 0.296928 | − | 0.514295i | ||||
\(125\) | −1521.00 | −1.08834 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −880.000 | −0.614861 | −0.307431 | − | 0.951571i | \(-0.599469\pi\) | ||||
−0.307431 | + | 0.951571i | \(0.599469\pi\) | |||||||
\(128\) | 64.0000 | − | 110.851i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −333.000 | − | 576.773i | −0.224662 | − | 0.389126i | ||||
\(131\) | 751.500 | + | 1301.64i | 0.501213 | + | 0.868126i | 0.999999 | + | 0.00140084i | \(0.000445901\pi\) |
−0.498786 | + | 0.866725i | \(0.666221\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −434.000 | + | 751.710i | −0.282952 | + | 0.490087i | ||||
\(134\) | 842.000 | 0.542819 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −336.000 | −0.211851 | ||||||||
\(137\) | −1330.50 | + | 2304.49i | −0.829725 | + | 1.43713i | 0.0685295 | + | 0.997649i | \(0.478169\pi\) |
−0.898254 | + | 0.439476i | \(0.855164\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 60.5000 | + | 104.789i | 0.0369176 | + | 0.0639431i | 0.883894 | − | 0.467688i | \(-0.154913\pi\) |
−0.846976 | + | 0.531631i | \(0.821579\pi\) | |||||||
\(140\) | 558.000 | + | 966.484i | 0.336854 | + | 0.583449i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −156.000 | + | 270.200i | −0.0921918 | + | 0.159681i | ||||
\(143\) | −555.000 | −0.324555 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −999.000 | −0.572155 | ||||||||
\(146\) | 182.000 | − | 315.233i | 0.103167 | − | 0.178691i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 332.000 | + | 575.041i | 0.184393 | + | 0.319379i | ||||
\(149\) | −1414.50 | − | 2449.99i | −0.777721 | − | 1.34705i | −0.933253 | − | 0.359221i | \(-0.883043\pi\) |
0.155532 | − | 0.987831i | \(-0.450291\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −230.500 | + | 399.238i | −0.124224 | + | 0.215162i | −0.921429 | − | 0.388546i | \(-0.872977\pi\) |
0.797205 | + | 0.603708i | \(0.206311\pi\) | |||||||
\(152\) | 224.000 | 0.119532 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 930.000 | 0.486633 | ||||||||
\(155\) | 922.500 | − | 1597.82i | 0.478045 | − | 0.827998i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1488.50 | + | 2578.16i | 0.756658 | + | 1.31057i | 0.944546 | + | 0.328379i | \(0.106502\pi\) |
−0.187889 | + | 0.982190i | \(0.560164\pi\) | |||||||
\(158\) | 1133.00 | + | 1962.41i | 0.570485 | + | 0.988109i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 144.000 | − | 249.415i | 0.0711512 | − | 0.123238i | ||||
\(161\) | 6045.00 | 2.95909 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3316.00 | −1.59343 | −0.796715 | − | 0.604355i | \(-0.793431\pi\) | ||||
−0.796715 | + | 0.604355i | \(0.793431\pi\) | |||||||
\(164\) | −522.000 | + | 904.131i | −0.248545 | + | 0.430492i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1083.00 | + | 1875.81i | 0.506368 | + | 0.877055i | ||||
\(167\) | −340.500 | − | 589.763i | −0.157777 | − | 0.273277i | 0.776290 | − | 0.630376i | \(-0.217099\pi\) |
−0.934067 | + | 0.357099i | \(0.883766\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 414.000 | − | 717.069i | 0.188439 | − | 0.326386i | ||||
\(170\) | −756.000 | −0.341074 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −172.000 | −0.0762493 | ||||||||
\(173\) | −1990.50 | + | 3447.65i | −0.874768 | + | 1.51514i | −0.0177589 | + | 0.999842i | \(0.505653\pi\) |
−0.857009 | + | 0.515301i | \(0.827680\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −682.000 | − | 1181.26i | −0.294596 | − | 0.510256i | ||||
\(176\) | −120.000 | − | 207.846i | −0.0513940 | − | 0.0890170i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1050.00 | − | 1818.65i | 0.442139 | − | 0.765808i | ||||
\(179\) | −2004.00 | −0.836793 | −0.418397 | − | 0.908264i | \(-0.637408\pi\) | ||||
−0.418397 | + | 0.908264i | \(0.637408\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1274.00 | 0.523181 | 0.261590 | − | 0.965179i | \(-0.415753\pi\) | ||||
0.261590 | + | 0.965179i | \(0.415753\pi\) | |||||||
\(182\) | 1147.00 | − | 1986.66i | 0.467150 | − | 0.809128i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −780.000 | − | 1351.00i | −0.312513 | − | 0.541288i | ||||
\(185\) | 747.000 | + | 1293.84i | 0.296868 | + | 0.514190i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −315.000 | + | 545.596i | −0.123182 | + | 0.213358i | ||||
\(188\) | −708.000 | −0.274661 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 504.000 | 0.192442 | ||||||||
\(191\) | 580.500 | − | 1005.46i | 0.219914 | − | 0.380902i | −0.734868 | − | 0.678210i | \(-0.762756\pi\) |
0.954781 | + | 0.297309i | \(0.0960891\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1805.50 | − | 3127.22i | −0.673382 | − | 1.16633i | −0.976939 | − | 0.213519i | \(-0.931508\pi\) |
0.303557 | − | 0.952813i | \(-0.401826\pi\) | |||||||
\(194\) | −901.000 | − | 1560.58i | −0.333443 | − | 0.577541i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1236.00 | + | 2140.81i | −0.450437 | + | 0.780180i | ||||
\(197\) | −2046.00 | −0.739957 | −0.369978 | − | 0.929040i | \(-0.620635\pi\) | ||||
−0.369978 | + | 0.929040i | \(0.620635\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2996.00 | 1.06724 | 0.533620 | − | 0.845724i | \(-0.320831\pi\) | ||||
0.533620 | + | 0.845724i | \(0.320831\pi\) | |||||||
\(200\) | −176.000 | + | 304.841i | −0.0622254 | + | 0.107778i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −387.000 | − | 670.304i | −0.134798 | − | 0.233477i | ||||
\(203\) | −1720.50 | − | 2979.99i | −0.594854 | − | 1.03032i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1174.50 | + | 2034.29i | −0.400149 | + | 0.693079i | ||||
\(206\) | −1102.00 | −0.372718 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −592.000 | −0.197345 | ||||||||
\(209\) | 210.000 | − | 363.731i | 0.0695024 | − | 0.120382i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −377.500 | − | 653.849i | −0.123167 | − | 0.213331i | 0.797848 | − | 0.602858i | \(-0.205972\pi\) |
−0.921015 | + | 0.389528i | \(0.872638\pi\) | |||||||
\(212\) | 228.000 | + | 394.908i | 0.0738637 | + | 0.127936i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 12.0000 | − | 20.7846i | 0.00383319 | − | 0.00663928i | ||||
\(215\) | −387.000 | −0.122759 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6355.00 | 1.98804 | ||||||||
\(218\) | −502.000 | + | 869.490i | −0.155962 | + | 0.270134i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −270.000 | − | 467.654i | −0.0827427 | − | 0.143315i | ||||
\(221\) | 777.000 | + | 1345.80i | 0.236501 | + | 0.409631i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1731.50 | − | 2999.05i | 0.519954 | − | 0.900587i | −0.479777 | − | 0.877391i | \(-0.659282\pi\) |
0.999731 | − | 0.0231966i | \(-0.00738438\pi\) | |||||||
\(224\) | 992.000 | 0.295896 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2802.00 | −0.824718 | ||||||||
\(227\) | 3112.50 | − | 5391.01i | 0.910061 | − | 1.57627i | 0.0960856 | − | 0.995373i | \(-0.469368\pi\) |
0.813976 | − | 0.580899i | \(-0.197299\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 732.500 | + | 1268.73i | 0.211375 | + | 0.366113i | 0.952145 | − | 0.305646i | \(-0.0988724\pi\) |
−0.740770 | + | 0.671759i | \(0.765539\pi\) | |||||||
\(230\) | −1755.00 | − | 3039.75i | −0.503136 | − | 0.871457i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −444.000 | + | 769.031i | −0.125647 | + | 0.217626i | ||||
\(233\) | −2634.00 | −0.740597 | −0.370298 | − | 0.928913i | \(-0.620745\pi\) | ||||
−0.370298 | + | 0.928913i | \(0.620745\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1593.00 | −0.442195 | ||||||||
\(236\) | 318.000 | − | 550.792i | 0.0877120 | − | 0.151922i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1302.00 | − | 2255.13i | −0.354606 | − | 0.614195i | ||||
\(239\) | 3457.50 | + | 5988.57i | 0.935762 | + | 1.62079i | 0.773270 | + | 0.634077i | \(0.218620\pi\) |
0.162492 | + | 0.986710i | \(0.448047\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 744.500 | − | 1289.51i | 0.198994 | − | 0.344667i | −0.749209 | − | 0.662334i | \(-0.769566\pi\) |
0.948202 | + | 0.317667i | \(0.102899\pi\) | |||||||
\(242\) | 2212.00 | 0.587573 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 764.000 | 0.200451 | ||||||||
\(245\) | −2781.00 | + | 4816.83i | −0.725190 | + | 1.25607i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −518.000 | − | 897.202i | −0.133439 | − | 0.231124i | ||||
\(248\) | −820.000 | − | 1420.28i | −0.209960 | − | 0.363661i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1521.00 | + | 2634.45i | −0.384786 | + | 0.666469i | ||||
\(251\) | 4620.00 | 1.16180 | 0.580900 | − | 0.813975i | \(-0.302701\pi\) | ||||
0.580900 | + | 0.813975i | \(0.302701\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2925.00 | −0.726850 | ||||||||
\(254\) | −880.000 | + | 1524.20i | −0.217386 | + | 0.376524i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −128.000 | − | 221.703i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 1675.50 | + | 2902.05i | 0.406672 | + | 0.704377i | 0.994515 | − | 0.104598i | \(-0.0333557\pi\) |
−0.587842 | + | 0.808976i | \(0.700022\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2573.00 | + | 4456.57i | −0.617291 | + | 1.06918i | ||||
\(260\) | −1332.00 | −0.317720 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3006.00 | 0.708822 | ||||||||
\(263\) | −301.500 | + | 522.213i | −0.0706893 | + | 0.122437i | −0.899204 | − | 0.437530i | \(-0.855853\pi\) |
0.828514 | + | 0.559968i | \(0.189187\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 513.000 | + | 888.542i | 0.118918 | + | 0.205972i | ||||
\(266\) | 868.000 | + | 1503.42i | 0.200077 | + | 0.346544i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 842.000 | − | 1458.39i | 0.191915 | − | 0.332407i | ||||
\(269\) | 1470.00 | 0.333188 | 0.166594 | − | 0.986026i | \(-0.446723\pi\) | ||||
0.166594 | + | 0.986026i | \(0.446723\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2072.00 | 0.464447 | 0.232223 | − | 0.972662i | \(-0.425400\pi\) | ||||
0.232223 | + | 0.972662i | \(0.425400\pi\) | |||||||
\(272\) | −336.000 | + | 581.969i | −0.0749007 | + | 0.129732i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2661.00 | + | 4608.99i | 0.586704 | + | 1.01620i | ||||
\(275\) | 330.000 | + | 571.577i | 0.0723627 | + | 0.125336i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3569.50 | + | 6182.56i | −0.774262 | + | 1.34106i | 0.160947 | + | 0.986963i | \(0.448545\pi\) |
−0.935209 | + | 0.354097i | \(0.884788\pi\) | |||||||
\(278\) | 242.000 | 0.0522093 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2232.00 | 0.476384 | ||||||||
\(281\) | 4213.50 | − | 7298.00i | 0.894507 | − | 1.54933i | 0.0600924 | − | 0.998193i | \(-0.480860\pi\) |
0.834414 | − | 0.551138i | \(-0.185806\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 228.500 | + | 395.774i | 0.0479962 | + | 0.0831318i | 0.889025 | − | 0.457858i | \(-0.151383\pi\) |
−0.841029 | + | 0.540990i | \(0.818050\pi\) | |||||||
\(284\) | 312.000 | + | 540.400i | 0.0651894 | + | 0.112911i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −555.000 | + | 961.288i | −0.114748 | + | 0.198749i | ||||
\(287\) | −8091.00 | −1.66410 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3149.00 | −0.640953 | ||||||||
\(290\) | −999.000 | + | 1730.32i | −0.202287 | + | 0.350372i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −364.000 | − | 630.466i | −0.0729503 | − | 0.126354i | ||||
\(293\) | −2944.50 | − | 5100.02i | −0.587097 | − | 1.01688i | −0.994610 | − | 0.103683i | \(-0.966937\pi\) |
0.407513 | − | 0.913199i | \(-0.366396\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 715.500 | − | 1239.28i | 0.141214 | − | 0.244589i | ||||
\(296\) | 1328.00 | 0.260772 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5658.00 | −1.09986 | ||||||||
\(299\) | −3607.50 | + | 6248.37i | −0.697750 | + | 1.20854i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −666.500 | − | 1154.41i | −0.127629 | − | 0.221060i | ||||
\(302\) | 461.000 | + | 798.475i | 0.0878396 | + | 0.152143i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 224.000 | − | 387.979i | 0.0422608 | − | 0.0731978i | ||||
\(305\) | 1719.00 | 0.322720 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1204.00 | −0.223830 | −0.111915 | − | 0.993718i | \(-0.535698\pi\) | ||||
−0.111915 | + | 0.993718i | \(0.535698\pi\) | |||||||
\(308\) | 930.000 | − | 1610.81i | 0.172051 | − | 0.298001i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1845.00 | − | 3195.63i | −0.338029 | − | 0.585483i | ||||
\(311\) | −1642.50 | − | 2844.89i | −0.299478 | − | 0.518711i | 0.676539 | − | 0.736407i | \(-0.263479\pi\) |
−0.976017 | + | 0.217696i | \(0.930146\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5028.50 | − | 8709.62i | 0.908075 | − | 1.57283i | 0.0913406 | − | 0.995820i | \(-0.470885\pi\) |
0.816735 | − | 0.577013i | \(-0.195782\pi\) | |||||||
\(314\) | 5954.00 | 1.07008 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4532.00 | 0.806788 | ||||||||
\(317\) | 1147.50 | − | 1987.53i | 0.203312 | − | 0.352147i | −0.746281 | − | 0.665631i | \(-0.768163\pi\) |
0.949594 | + | 0.313483i | \(0.101496\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 832.500 | + | 1441.93i | 0.146116 | + | 0.253081i | ||||
\(320\) | −288.000 | − | 498.831i | −0.0503115 | − | 0.0871421i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 6045.00 | − | 10470.2i | 1.04619 | − | 1.81206i | ||||
\(323\) | −1176.00 | −0.202583 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1628.00 | 0.277862 | ||||||||
\(326\) | −3316.00 | + | 5743.48i | −0.563363 | + | 0.975773i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1044.00 | + | 1808.26i | 0.175748 | + | 0.304404i | ||||
\(329\) | −2743.50 | − | 4751.88i | −0.459739 | − | 0.796291i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3339.50 | − | 5784.18i | 0.554548 | − | 0.960506i | −0.443390 | − | 0.896329i | \(-0.646224\pi\) |
0.997939 | − | 0.0641773i | \(-0.0204423\pi\) | |||||||
\(332\) | 4332.00 | 0.716113 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1362.00 | −0.223130 | ||||||||
\(335\) | 1894.50 | − | 3281.37i | 0.308978 | − | 0.535165i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1091.50 | − | 1890.53i | −0.176433 | − | 0.305590i | 0.764224 | − | 0.644951i | \(-0.223122\pi\) |
−0.940656 | + | 0.339361i | \(0.889789\pi\) | |||||||
\(338\) | −828.000 | − | 1434.14i | −0.133246 | − | 0.230789i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −756.000 | + | 1309.43i | −0.120588 | + | 0.208864i | ||||
\(341\) | −3075.00 | −0.488330 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8525.00 | −1.34200 | ||||||||
\(344\) | −172.000 | + | 297.913i | −0.0269582 | + | 0.0466930i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3981.00 | + | 6895.29i | 0.618555 | + | 1.07137i | ||||
\(347\) | 1945.50 | + | 3369.70i | 0.300980 | + | 0.521312i | 0.976358 | − | 0.216159i | \(-0.0693531\pi\) |
−0.675379 | + | 0.737471i | \(0.736020\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1397.50 | + | 2420.54i | −0.214345 | + | 0.371257i | −0.953070 | − | 0.302751i | \(-0.902095\pi\) |
0.738725 | + | 0.674007i | \(0.235428\pi\) | |||||||
\(350\) | −2728.00 | −0.416622 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −480.000 | −0.0726821 | ||||||||
\(353\) | 2377.50 | − | 4117.95i | 0.358475 | − | 0.620896i | −0.629232 | − | 0.777218i | \(-0.716630\pi\) |
0.987706 | + | 0.156322i | \(0.0499636\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 702.000 | + | 1215.90i | 0.104953 | + | 0.181784i | ||||
\(356\) | −2100.00 | − | 3637.31i | −0.312640 | − | 0.541508i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2004.00 | + | 3471.03i | −0.295851 | + | 0.512429i | ||||
\(359\) | −4608.00 | −0.677440 | −0.338720 | − | 0.940887i | \(-0.609994\pi\) | ||||
−0.338720 | + | 0.940887i | \(0.609994\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6075.00 | −0.885698 | ||||||||
\(362\) | 1274.00 | − | 2206.63i | 0.184972 | − | 0.320381i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2294.00 | − | 3973.32i | −0.330325 | − | 0.572140i | ||||
\(365\) | −819.000 | − | 1418.55i | −0.117448 | − | 0.203425i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1922.50 | + | 3329.87i | −0.273443 | + | 0.473618i | −0.969741 | − | 0.244135i | \(-0.921496\pi\) |
0.696298 | + | 0.717753i | \(0.254829\pi\) | |||||||
\(368\) | −3120.00 | −0.441960 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2988.00 | 0.419834 | ||||||||
\(371\) | −1767.00 | + | 3060.53i | −0.247272 | + | 0.428288i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4158.50 | + | 7202.73i | 0.577263 | + | 0.999848i | 0.995792 | + | 0.0916449i | \(0.0292125\pi\) |
−0.418529 | + | 0.908203i | \(0.637454\pi\) | |||||||
\(374\) | 630.000 | + | 1091.19i | 0.0871030 | + | 0.150867i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −708.000 | + | 1226.29i | −0.0971072 | + | 0.168195i | ||||
\(377\) | 4107.00 | 0.561064 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12560.0 | 1.70228 | 0.851140 | − | 0.524939i | \(-0.175912\pi\) | ||||
0.851140 | + | 0.524939i | \(0.175912\pi\) | |||||||
\(380\) | 504.000 | − | 872.954i | 0.0680386 | − | 0.117846i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1161.00 | − | 2010.91i | −0.155502 | − | 0.269338i | ||||
\(383\) | 6043.50 | + | 10467.6i | 0.806288 | + | 1.39653i | 0.915418 | + | 0.402505i | \(0.131860\pi\) |
−0.109130 | + | 0.994028i | \(0.534806\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2092.50 | − | 3624.32i | 0.276997 | − | 0.479772i | ||||
\(386\) | −7222.00 | −0.952306 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3604.00 | −0.471560 | ||||||||
\(389\) | −4270.50 | + | 7396.72i | −0.556614 | + | 0.964084i | 0.441162 | + | 0.897428i | \(0.354567\pi\) |
−0.997776 | + | 0.0666565i | \(0.978767\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4095.00 | + | 7092.75i | 0.529650 | + | 0.917380i | ||||
\(392\) | 2472.00 | + | 4281.63i | 0.318507 | + | 0.551671i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2046.00 | + | 3543.78i | −0.261614 | + | 0.453129i | ||||
\(395\) | 10197.0 | 1.29890 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13174.0 | −1.66545 | −0.832726 | − | 0.553686i | \(-0.813221\pi\) | ||||
−0.832726 | + | 0.553686i | \(0.813221\pi\) | |||||||
\(398\) | 2996.00 | − | 5189.22i | 0.377326 | − | 0.653549i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 352.000 | + | 609.682i | 0.0440000 | + | 0.0762102i | ||||
\(401\) | 4801.50 | + | 8316.44i | 0.597944 | + | 1.03567i | 0.993124 | + | 0.117066i | \(0.0373488\pi\) |
−0.395180 | + | 0.918604i | \(0.629318\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3792.50 | + | 6568.80i | −0.468779 | + | 0.811949i | ||||
\(404\) | −1548.00 | −0.190633 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −6882.00 | −0.841251 | ||||||||
\(407\) | 1245.00 | − | 2156.40i | 0.151627 | − | 0.262626i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5735.50 | − | 9934.18i | −0.693404 | − | 1.20101i | −0.970716 | − | 0.240231i | \(-0.922777\pi\) |
0.277312 | − | 0.960780i | \(-0.410557\pi\) | |||||||
\(410\) | 2349.00 | + | 4068.59i | 0.282948 | + | 0.490081i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1102.00 | + | 1908.72i | −0.131776 | + | 0.228242i | ||||
\(413\) | 4929.00 | 0.587264 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 9747.00 | 1.15292 | ||||||||
\(416\) | −592.000 | + | 1025.37i | −0.0697721 | + | 0.120849i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −420.000 | − | 727.461i | −0.0491456 | − | 0.0851227i | ||||
\(419\) | −2986.50 | − | 5172.77i | −0.348210 | − | 0.603118i | 0.637721 | − | 0.770267i | \(-0.279877\pi\) |
−0.985932 | + | 0.167149i | \(0.946544\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4452.50 | − | 7711.96i | 0.515443 | − | 0.892774i | −0.484396 | − | 0.874849i | \(-0.660961\pi\) |
0.999839 | − | 0.0179250i | \(-0.00570601\pi\) | |||||||
\(422\) | −1510.00 | −0.174184 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 912.000 | 0.104459 | ||||||||
\(425\) | 924.000 | − | 1600.41i | 0.105460 | − | 0.182662i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2960.50 | + | 5127.74i | 0.335524 | + | 0.581144i | ||||
\(428\) | −24.0000 | − | 41.5692i | −0.00271048 | − | 0.00469468i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −387.000 | + | 670.304i | −0.0434019 | + | 0.0751742i | ||||
\(431\) | −1416.00 | −0.158251 | −0.0791257 | − | 0.996865i | \(-0.525213\pi\) | ||||
−0.0791257 | + | 0.996865i | \(0.525213\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 10766.0 | 1.19488 | 0.597438 | − | 0.801915i | \(-0.296186\pi\) | ||||
0.597438 | + | 0.801915i | \(0.296186\pi\) | |||||||
\(434\) | 6355.00 | − | 11007.2i | 0.702880 | − | 1.21742i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1004.00 | + | 1738.98i | 0.110282 | + | 0.191014i | ||||
\(437\) | −2730.00 | − | 4728.50i | −0.298841 | − | 0.517608i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2174.50 | + | 3766.34i | −0.236408 | + | 0.409471i | −0.959681 | − | 0.281091i | \(-0.909304\pi\) |
0.723273 | + | 0.690562i | \(0.242637\pi\) | |||||||
\(440\) | −1080.00 | −0.117016 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3108.00 | 0.334463 | ||||||||
\(443\) | −7273.50 | + | 12598.1i | −0.780078 | + | 1.35113i | 0.151818 | + | 0.988408i | \(0.451487\pi\) |
−0.931896 | + | 0.362726i | \(0.881846\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4725.00 | − | 8183.94i | −0.503340 | − | 0.871811i | ||||
\(446\) | −3463.00 | − | 5998.09i | −0.367663 | − | 0.636811i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 992.000 | − | 1718.19i | 0.104615 | − | 0.181199i | ||||
\(449\) | 3330.00 | 0.350005 | 0.175003 | − | 0.984568i | \(-0.444007\pi\) | ||||
0.175003 | + | 0.984568i | \(0.444007\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3915.00 | 0.408759 | ||||||||
\(452\) | −2802.00 | + | 4853.21i | −0.291582 | + | 0.505035i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −6225.00 | − | 10782.0i | −0.643510 | − | 1.11459i | ||||
\(455\) | −5161.50 | − | 8939.98i | −0.531813 | − | 0.921127i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4073.50 | + | 7055.51i | −0.416959 | + | 0.722194i | −0.995632 | − | 0.0933655i | \(-0.970237\pi\) |
0.578673 | + | 0.815560i | \(0.303571\pi\) | |||||||
\(458\) | 2930.00 | 0.298930 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −7020.00 | −0.711542 | ||||||||
\(461\) | 4015.50 | − | 6955.05i | 0.405684 | − | 0.702666i | −0.588717 | − | 0.808340i | \(-0.700367\pi\) |
0.994401 | + | 0.105674i | \(0.0336999\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2141.50 | − | 3709.19i | −0.214955 | − | 0.372312i | 0.738304 | − | 0.674468i | \(-0.235627\pi\) |
−0.953259 | + | 0.302156i | \(0.902294\pi\) | |||||||
\(464\) | 888.000 | + | 1538.06i | 0.0888456 | + | 0.153885i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2634.00 | + | 4562.22i | −0.261841 | + | 0.453521i | ||||
\(467\) | −5460.00 | −0.541025 | −0.270512 | − | 0.962716i | \(-0.587193\pi\) | ||||
−0.270512 | + | 0.962716i | \(0.587193\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13051.0 | 1.28494 | ||||||||
\(470\) | −1593.00 | + | 2759.16i | −0.156340 | + | 0.270788i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −636.000 | − | 1101.58i | −0.0620218 | − | 0.107425i | ||||
\(473\) | 322.500 | + | 558.586i | 0.0313500 | + | 0.0542999i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −616.000 | + | 1066.94i | −0.0595032 | + | 0.103063i | ||||
\(476\) | −5208.00 | −0.501488 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 13830.0 | 1.32337 | ||||||||
\(479\) | 214.500 | − | 371.525i | 0.0204609 | − | 0.0354393i | −0.855614 | − | 0.517615i | \(-0.826820\pi\) |
0.876075 | + | 0.482176i | \(0.160153\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3071.00 | − | 5319.13i | −0.291113 | − | 0.504223i | ||||
\(482\) | −1489.00 | − | 2579.02i | −0.140710 | − | 0.243716i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2212.00 | − | 3831.30i | 0.207739 | − | 0.359814i | ||||
\(485\) | −8109.00 | −0.759197 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11296.0 | −1.05107 | −0.525535 | − | 0.850772i | \(-0.676135\pi\) | ||||
−0.525535 | + | 0.850772i | \(0.676135\pi\) | |||||||
\(488\) | 764.000 | − | 1323.29i | 0.0708702 | − | 0.122751i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 5562.00 | + | 9633.67i | 0.512787 | + | 0.888173i | ||||
\(491\) | −7336.50 | − | 12707.2i | −0.674321 | − | 1.16796i | −0.976667 | − | 0.214760i | \(-0.931103\pi\) |
0.302346 | − | 0.953198i | \(-0.402230\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2331.00 | − | 4037.41i | 0.212947 | − | 0.368835i | ||||
\(494\) | −2072.00 | −0.188712 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3280.00 | −0.296928 | ||||||||
\(497\) | −2418.00 | + | 4188.10i | −0.218234 | + | 0.377992i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6719.50 | − | 11638.5i | −0.602818 | − | 1.04411i | −0.992392 | − | 0.123116i | \(-0.960711\pi\) |
0.389574 | − | 0.920995i | \(-0.372622\pi\) | |||||||
\(500\) | 3042.00 | + | 5268.90i | 0.272085 | + | 0.471265i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4620.00 | − | 8002.07i | 0.410758 | − | 0.711454i | ||||
\(503\) | 17388.0 | 1.54134 | 0.770669 | − | 0.637236i | \(-0.219922\pi\) | ||||
0.770669 | + | 0.637236i | \(0.219922\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3483.00 | −0.306914 | ||||||||
\(506\) | −2925.00 | + | 5066.25i | −0.256980 | + | 0.445103i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1760.00 | + | 3048.41i | 0.153715 | + | 0.266243i | ||||
\(509\) | −1894.50 | − | 3281.37i | −0.164975 | − | 0.285745i | 0.771671 | − | 0.636021i | \(-0.219421\pi\) |
−0.936646 | + | 0.350276i | \(0.886088\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2821.00 | − | 4886.12i | 0.244215 | − | 0.422992i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 6702.00 | 0.575122 | ||||||||
\(515\) | −2479.50 | + | 4294.62i | −0.212155 | + | 0.367463i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1327.50 | + | 2299.30i | 0.112927 | + | 0.195596i | ||||
\(518\) | 5146.00 | + | 8913.13i | 0.436491 | + | 0.756024i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1332.00 | + | 2307.09i | −0.112331 | + | 0.194563i | ||||
\(521\) | −9786.00 | −0.822903 | −0.411451 | − | 0.911432i | \(-0.634978\pi\) | ||||
−0.411451 | + | 0.911432i | \(0.634978\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8008.00 | −0.669532 | −0.334766 | − | 0.942301i | \(-0.608657\pi\) | ||||
−0.334766 | + | 0.942301i | \(0.608657\pi\) | |||||||
\(524\) | 3006.00 | − | 5206.54i | 0.250606 | − | 0.434063i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 603.000 | + | 1044.43i | 0.0499849 | + | 0.0865764i | ||||
\(527\) | 4305.00 | + | 7456.48i | 0.355842 | + | 0.616336i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −12929.0 | + | 22393.7i | −1.06263 | + | 1.84053i | ||||
\(530\) | 2052.00 | 0.168176 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3472.00 | 0.282952 | ||||||||
\(533\) | 4828.50 | − | 8363.21i | 0.392393 | − | 0.679645i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −54.0000 | − | 93.5307i | −0.00436378 | − | 0.00755829i | ||||
\(536\) | −1684.00 | − | 2916.77i | −0.135705 | − | 0.235047i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1470.00 | − | 2546.11i | 0.117800 | − | 0.204035i | ||||
\(539\) | 9270.00 | 0.740793 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2938.00 | −0.233483 | −0.116742 | − | 0.993162i | \(-0.537245\pi\) | ||||
−0.116742 | + | 0.993162i | \(0.537245\pi\) | |||||||
\(542\) | 2072.00 | − | 3588.81i | 0.164207 | − | 0.284414i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 672.000 | + | 1163.94i | 0.0529628 | + | 0.0917343i | ||||
\(545\) | 2259.00 | + | 3912.70i | 0.177550 | + | 0.307526i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5187.50 | − | 8985.01i | 0.405487 | − | 0.702324i | −0.588891 | − | 0.808213i | \(-0.700435\pi\) |
0.994378 | + | 0.105888i | \(0.0337686\pi\) | |||||||
\(548\) | 10644.0 | 0.829725 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1320.00 | 0.102336 | ||||||||
\(551\) | −1554.00 | + | 2691.61i | −0.120150 | + | 0.208106i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 17561.5 | + | 30417.4i | 1.35044 | + | 2.33902i | ||||
\(554\) | 7139.00 | + | 12365.1i | 0.547486 | + | 0.948273i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 242.000 | − | 419.156i | 0.0184588 | − | 0.0319716i | ||||
\(557\) | −3306.00 | −0.251490 | −0.125745 | − | 0.992063i | \(-0.540132\pi\) | ||||
−0.125745 | + | 0.992063i | \(0.540132\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1591.00 | 0.120379 | ||||||||
\(560\) | 2232.00 | − | 3865.94i | 0.168427 | − | 0.291724i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −8427.00 | − | 14596.0i | −0.632512 | − | 1.09554i | ||||
\(563\) | −10546.5 | − | 18267.1i | −0.789488 | − | 1.36743i | −0.926281 | − | 0.376834i | \(-0.877013\pi\) |
0.136792 | − | 0.990600i | \(-0.456321\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6304.50 | + | 10919.7i | −0.469438 | + | 0.813090i | ||||
\(566\) | 914.000 | 0.0678768 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1248.00 | 0.0921918 | ||||||||
\(569\) | 643.500 | − | 1114.57i | 0.0474111 | − | 0.0821185i | −0.841346 | − | 0.540497i | \(-0.818236\pi\) |
0.888757 | + | 0.458379i | \(0.151570\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7517.50 | − | 13020.7i | −0.550959 | − | 0.954289i | −0.998206 | − | 0.0598783i | \(-0.980929\pi\) |
0.447247 | − | 0.894411i | \(-0.352405\pi\) | |||||||
\(572\) | 1110.00 | + | 1922.58i | 0.0811389 | + | 0.140537i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −8091.00 | + | 14014.0i | −0.588348 | + | 1.01905i | ||||
\(575\) | 8580.00 | 0.622280 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1190.00 | 0.0858585 | 0.0429292 | − | 0.999078i | \(-0.486331\pi\) | ||||
0.0429292 | + | 0.999078i | \(0.486331\pi\) | |||||||
\(578\) | −3149.00 | + | 5454.23i | −0.226611 | + | 0.392502i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1998.00 | + | 3460.64i | 0.143039 | + | 0.247750i | ||||
\(581\) | 16786.5 | + | 29075.1i | 1.19866 | + | 2.07614i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 855.000 | − | 1480.90i | 0.0607384 | − | 0.105202i | ||||
\(584\) | −1456.00 | −0.103167 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −11778.0 | −0.830281 | ||||||||
\(587\) | −8941.50 | + | 15487.1i | −0.628714 | + | 1.08896i | 0.359096 | + | 0.933301i | \(0.383085\pi\) |
−0.987810 | + | 0.155664i | \(0.950248\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2870.00 | − | 4970.99i | −0.200775 | − | 0.347752i | ||||
\(590\) | −1431.00 | − | 2478.56i | −0.0998531 | − | 0.172951i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1328.00 | − | 2300.16i | 0.0921967 | − | 0.159689i | ||||
\(593\) | −20118.0 | −1.39317 | −0.696583 | − | 0.717476i | \(-0.745297\pi\) | ||||
−0.696583 | + | 0.717476i | \(0.745297\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −11718.0 | −0.807380 | ||||||||
\(596\) | −5658.00 | + | 9799.94i | −0.388860 | + | 0.673526i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7215.00 | + | 12496.7i | 0.493383 | + | 0.854565i | ||||
\(599\) | −532.500 | − | 922.317i | −0.0363228 | − | 0.0629129i | 0.847293 | − | 0.531127i | \(-0.178231\pi\) |
−0.883615 | + | 0.468214i | \(0.844898\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10362.5 | − | 17948.4i | 0.703320 | − | 1.21819i | −0.263975 | − | 0.964530i | \(-0.585034\pi\) |
0.967294 | − | 0.253656i | \(-0.0816331\pi\) | |||||||
\(602\) | −2666.00 | −0.180495 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1844.00 | 0.124224 | ||||||||
\(605\) | 4977.00 | − | 8620.42i | 0.334453 | − | 0.579289i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7872.50 | + | 13635.6i | 0.526417 | + | 0.911780i | 0.999526 | + | 0.0307768i | \(0.00979812\pi\) |
−0.473110 | + | 0.881004i | \(0.656869\pi\) | |||||||
\(608\) | −448.000 | − | 775.959i | −0.0298829 | − | 0.0517587i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1719.00 | − | 2977.40i | 0.114099 | − | 0.197625i | ||||
\(611\) | 6549.00 | 0.433624 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5042.00 | 0.332210 | 0.166105 | − | 0.986108i | \(-0.446881\pi\) | ||||
0.166105 | + | 0.986108i | \(0.446881\pi\) | |||||||
\(614\) | −1204.00 | + | 2085.39i | −0.0791360 | + | 0.137068i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1860.00 | − | 3221.61i | −0.121658 | − | 0.210718i | ||||
\(617\) | −5026.50 | − | 8706.15i | −0.327973 | − | 0.568066i | 0.654137 | − | 0.756376i | \(-0.273032\pi\) |
−0.982110 | + | 0.188311i | \(0.939699\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2991.50 | − | 5181.43i | 0.194246 | − | 0.336445i | −0.752407 | − | 0.658699i | \(-0.771107\pi\) |
0.946653 | + | 0.322254i | \(0.104441\pi\) | |||||||
\(620\) | −7380.00 | −0.478045 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −6570.00 | −0.423526 | ||||||||
\(623\) | 16275.0 | − | 28189.1i | 1.04662 | − | 1.81280i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4094.50 | + | 7091.88i | 0.262048 | + | 0.453880i | ||||
\(626\) | −10057.0 | − | 17419.2i | −0.642106 | − | 1.11216i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 5954.00 | − | 10312.6i | 0.378329 | − | 0.655285i | ||||
\(629\) | −6972.00 | −0.441958 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −19696.0 | −1.24261 | −0.621304 | − | 0.783570i | \(-0.713397\pi\) | ||||
−0.621304 | + | 0.783570i | \(0.713397\pi\) | |||||||
\(632\) | 4532.00 | − | 7849.65i | 0.285243 | − | 0.494055i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2295.00 | − | 3975.06i | −0.143764 | − | 0.249006i | ||||
\(635\) | 3960.00 | + | 6858.92i | 0.247477 | + | 0.428642i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 11433.0 | − | 19802.5i | 0.711133 | − | 1.23172i | ||||
\(638\) | 3330.00 | 0.206639 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1152.00 | −0.0711512 | ||||||||
\(641\) | −5488.50 | + | 9506.36i | −0.338195 | + | 0.585770i | −0.984093 | − | 0.177653i | \(-0.943150\pi\) |
0.645899 | + | 0.763423i | \(0.276483\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7914.50 | + | 13708.3i | 0.485408 | + | 0.840752i | 0.999859 | − | 0.0167681i | \(-0.00533770\pi\) |
−0.514451 | + | 0.857520i | \(0.672004\pi\) | |||||||
\(644\) | −12090.0 | − | 20940.5i | −0.739771 | − | 1.28132i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1176.00 | + | 2036.89i | −0.0716240 | + | 0.124056i | ||||
\(647\) | −28224.0 | −1.71499 | −0.857496 | − | 0.514490i | \(-0.827981\pi\) | ||||
−0.857496 | + | 0.514490i | \(0.827981\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2385.00 | −0.144252 | ||||||||
\(650\) | 1628.00 | − | 2819.78i | 0.0982391 | − | 0.170155i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6632.00 | + | 11487.0i | 0.398358 | + | 0.689976i | ||||
\(653\) | 14083.5 | + | 24393.3i | 0.843997 | + | 1.46185i | 0.886490 | + | 0.462749i | \(0.153137\pi\) |
−0.0424927 | + | 0.999097i | \(0.513530\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6763.50 | − | 11714.7i | 0.403468 | − | 0.698828i | ||||
\(656\) | 4176.00 | 0.248545 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −10974.0 | −0.650169 | ||||||||
\(659\) | 5368.50 | − | 9298.51i | 0.317340 | − | 0.549649i | −0.662592 | − | 0.748980i | \(-0.730544\pi\) |
0.979932 | + | 0.199331i | \(0.0638770\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5063.50 | − | 8770.24i | −0.297954 | − | 0.516071i | 0.677714 | − | 0.735326i | \(-0.262971\pi\) |
−0.975668 | + | 0.219255i | \(0.929637\pi\) | |||||||
\(662\) | −6679.00 | − | 11568.4i | −0.392125 | − | 0.679180i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4332.00 | − | 7503.24i | 0.253184 | − | 0.438528i | ||||
\(665\) | 7812.00 | 0.455543 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 21645.0 | 1.25652 | ||||||||
\(668\) | −1362.00 | + | 2359.05i | −0.0788883 | + | 0.136638i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −3789.00 | − | 6562.74i | −0.218480 | − | 0.378419i | ||||
\(671\) | −1432.50 | − | 2481.16i | −0.0824159 | − | 0.142748i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −125.500 | + | 217.372i | −0.00718822 | + | 0.0124504i | −0.869597 | − | 0.493762i | \(-0.835621\pi\) |
0.862409 | + | 0.506212i | \(0.168955\pi\) | |||||||
\(674\) | −4366.00 | −0.249513 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3312.00 | −0.188439 | ||||||||
\(677\) | 4225.50 | − | 7318.78i | 0.239881 | − | 0.415485i | −0.720799 | − | 0.693144i | \(-0.756225\pi\) |
0.960680 | + | 0.277659i | \(0.0895584\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −13965.5 | − | 24189.0i | −0.789318 | − | 1.36714i | ||||
\(680\) | 1512.00 | + | 2618.86i | 0.0852685 | + | 0.147689i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3075.00 | + | 5326.06i | −0.172651 | + | 0.299040i | ||||
\(683\) | 25884.0 | 1.45011 | 0.725054 | − | 0.688692i | \(-0.241815\pi\) | ||||
0.725054 | + | 0.688692i | \(0.241815\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 23949.0 | 1.33583 | ||||||||
\(686\) | −8525.00 | + | 14765.7i | −0.474469 | + | 0.821805i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 344.000 | + | 595.825i | 0.0190623 | + | 0.0330169i | ||||
\(689\) | −2109.00 | − | 3652.90i | −0.116613 | − | 0.201980i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3182.50 | + | 5512.25i | −0.175207 | + | 0.303467i | −0.940233 | − | 0.340532i | \(-0.889393\pi\) |
0.765026 | + | 0.643999i | \(0.222726\pi\) | |||||||
\(692\) | 15924.0 | 0.874768 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 7782.00 | 0.425649 | ||||||||
\(695\) | 544.500 | − | 943.102i | 0.0297181 | − | 0.0514732i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5481.00 | − | 9493.37i | −0.297859 | − | 0.515907i | ||||
\(698\) | 2795.00 | + | 4841.08i | 0.151565 | + | 0.262518i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2728.00 | + | 4725.03i | −0.147298 | + | 0.255128i | ||||
\(701\) | −1122.00 | −0.0604527 | −0.0302264 | − | 0.999543i | \(-0.509623\pi\) | ||||
−0.0302264 | + | 0.999543i | \(0.509623\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4648.00 | 0.249364 | ||||||||
\(704\) | −480.000 | + | 831.384i | −0.0256970 | + | 0.0445085i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4755.00 | − | 8235.90i | −0.253480 | − | 0.439040i | ||||
\(707\) | −5998.50 | − | 10389.7i | −0.319090 | − | 0.552681i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2141.50 | + | 3709.19i | −0.113435 | + | 0.196476i | −0.917153 | − | 0.398535i | \(-0.869519\pi\) |
0.803718 | + | 0.595011i | \(0.202852\pi\) | |||||||
\(710\) | 2808.00 | 0.148426 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −8400.00 | −0.442139 | ||||||||
\(713\) | −19987.5 | + | 34619.4i | −1.04984 | + | 1.81838i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2497.50 | + | 4325.80i | 0.130631 | + | 0.226260i | ||||
\(716\) | 4008.00 | + | 6942.06i | 0.209198 | + | 0.362342i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −4608.00 | + | 7981.29i | −0.239511 | + | 0.414846i | ||||
\(719\) | −4032.00 | −0.209135 | −0.104568 | − | 0.994518i | \(-0.533346\pi\) | ||||
−0.104568 | + | 0.994518i | \(0.533346\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −17081.0 | −0.882288 | ||||||||
\(722\) | −6075.00 | + | 10522.2i | −0.313141 | + | 0.542377i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2548.00 | − | 4413.27i | −0.130795 | − | 0.226544i | ||||
\(725\) | −2442.00 | − | 4229.67i | −0.125095 | − | 0.216670i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −12002.5 | + | 20788.9i | −0.612308 | + | 1.06055i | 0.378542 | + | 0.925584i | \(0.376426\pi\) |
−0.990850 | + | 0.134965i | \(0.956908\pi\) | |||||||
\(728\) | −9176.00 | −0.467150 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3276.00 | −0.166096 | ||||||||
\(731\) | 903.000 | − | 1564.04i | 0.0456890 | − | 0.0791357i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 18750.5 | + | 32476.8i | 0.944837 | + | 1.63651i | 0.756077 | + | 0.654482i | \(0.227113\pi\) |
0.188760 | + | 0.982023i | \(0.439553\pi\) | |||||||
\(734\) | 3845.00 | + | 6659.74i | 0.193354 | + | 0.334898i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3120.00 | + | 5404.00i | −0.156256 | + | 0.270644i | ||||
\(737\) | −6315.00 | −0.315626 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −880.000 | −0.0438042 | −0.0219021 | − | 0.999760i | \(-0.506972\pi\) | ||||
−0.0219021 | + | 0.999760i | \(0.506972\pi\) | |||||||
\(740\) | 2988.00 | − | 5175.37i | 0.148434 | − | 0.257095i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3534.00 | + | 6121.07i | 0.174848 | + | 0.302846i | ||||
\(743\) | 811.500 | + | 1405.56i | 0.0400687 | + | 0.0694010i | 0.885364 | − | 0.464898i | \(-0.153909\pi\) |
−0.845296 | + | 0.534299i | \(0.820576\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −12730.5 | + | 22049.9i | −0.626053 | + | 1.08436i | ||||
\(746\) | 16634.0 | 0.816373 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2520.00 | 0.123182 | ||||||||
\(749\) | 186.000 | − | 322.161i | 0.00907382 | − | 0.0157163i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3444.50 | + | 5966.05i | 0.167366 | + | 0.289886i | 0.937493 | − | 0.348005i | \(-0.113141\pi\) |
−0.770127 | + | 0.637890i | \(0.779807\pi\) | |||||||
\(752\) | 1416.00 | + | 2452.58i | 0.0686652 | + | 0.118932i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4107.00 | − | 7113.53i | 0.198366 | − | 0.343580i | ||||
\(755\) | 4149.00 | 0.199997 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12850.0 | −0.616963 | −0.308482 | − | 0.951230i | \(-0.599821\pi\) | ||||
−0.308482 | + | 0.951230i | \(0.599821\pi\) | |||||||
\(758\) | 12560.0 | − | 21754.6i | 0.601847 | − | 1.04243i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1008.00 | − | 1745.91i | −0.0481105 | − | 0.0833299i | ||||
\(761\) | 2305.50 | + | 3993.24i | 0.109822 | + | 0.190217i | 0.915698 | − | 0.401867i | \(-0.131639\pi\) |
−0.805876 | + | 0.592084i | \(0.798305\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −7781.00 | + | 13477.1i | −0.369189 | + | 0.639454i | ||||
\(764\) | −4644.00 | −0.219914 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 24174.0 | 1.14026 | ||||||||
\(767\) | −2941.50 | + | 5094.83i | −0.138476 | + | 0.239848i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1152.50 | + | 1996.19i | 0.0540445 | + | 0.0936078i | 0.891782 | − | 0.452465i | \(-0.149455\pi\) |
−0.837737 | + | 0.546073i | \(0.816122\pi\) | |||||||
\(770\) | −4185.00 | − | 7248.63i | −0.195866 | − | 0.339250i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −7222.00 | + | 12508.9i | −0.336691 | + | 0.583166i | ||||
\(773\) | 34902.0 | 1.62398 | 0.811991 | − | 0.583670i | \(-0.198384\pi\) | ||||
0.811991 | + | 0.583670i | \(0.198384\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9020.00 | 0.418075 | ||||||||
\(776\) | −3604.00 | + | 6242.31i | −0.166722 | + | 0.288771i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 8541.00 | + | 14793.4i | 0.393586 | + | 0.681710i | ||||
\(779\) | 3654.00 | + | 6328.91i | 0.168059 | + | 0.291087i |