Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,4,Mod(49,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.49");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.i (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: | \(8.49627504083\) |
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: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 18) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 97.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 144.97 |
Dual form | 144.4.i.a.49.1 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | − | 5.19615i | − | 1.00000i | ||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 4.50000 | + | 7.79423i | 0.402492 | + | 0.697137i | 0.994026 | − | 0.109143i | \(-0.0348107\pi\) |
−0.591534 | + | 0.806280i | \(0.701477\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −15.5000 | + | 26.8468i | −0.836921 | + | 1.44959i | 0.0555351 | + | 0.998457i | \(0.482314\pi\) |
−0.892456 | + | 0.451134i | \(0.851020\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −27.0000 | −1.00000 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −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 | \(0.704185\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 40.5000 | − | 23.3827i | 0.697137 | − | 0.402492i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −42.0000 | −0.599206 | −0.299603 | − | 0.954064i | \(-0.596854\pi\) | ||||
−0.299603 | + | 0.954064i | \(0.596854\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 28.0000 | 0.338086 | 0.169043 | − | 0.985609i | \(-0.445932\pi\) | ||||
0.169043 | + | 0.985609i | \(0.445932\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 139.500 | + | 80.5404i | 1.44959 | + | 0.836921i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 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 | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 140.296i | 1.00000i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −55.5000 | + | 96.1288i | −0.355382 | + | 0.615540i | −0.987183 | − | 0.159590i | \(-0.948983\pi\) |
0.631801 | + | 0.775131i | \(0.282316\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −102.500 | − | 177.535i | −0.593856 | − | 1.02859i | −0.993707 | − | 0.112009i | \(-0.964271\pi\) |
0.399851 | − | 0.916580i | \(-0.369062\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 67.5000 | + | 38.9711i | 0.356068 | + | 0.205576i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −279.000 | −1.34742 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −166.000 | −0.737574 | −0.368787 | − | 0.929514i | \(-0.620227\pi\) | ||||
−0.368787 | + | 0.929514i | \(0.620227\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 166.500 | − | 96.1288i | 0.683624 | − | 0.394691i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 130.500 | + | 226.033i | 0.497090 | + | 0.860985i | 0.999994 | − | 0.00335732i | \(-0.00106867\pi\) |
−0.502905 | + | 0.864342i | \(0.667735\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −21.5000 | + | 37.2391i | −0.0762493 | + | 0.132068i | −0.901629 | − | 0.432511i | \(-0.857628\pi\) |
0.825380 | + | 0.564578i | \(0.190961\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −121.500 | − | 210.444i | −0.402492 | − | 0.697137i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 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 | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 218.238i | 0.599206i | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 114.000 | 0.295455 | 0.147727 | − | 0.989028i | \(-0.452804\pi\) | ||||
0.147727 | + | 0.989028i | \(0.452804\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −135.000 | −0.330971 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | − | 145.492i | − | 0.338086i | ||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 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 | \(0.230907\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 418.500 | − | 724.863i | 0.836921 | − | 1.44959i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −166.500 | + | 288.386i | −0.317720 | + | 0.550307i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −210.500 | − | 364.597i | −0.383831 | − | 0.664815i | 0.607775 | − | 0.794109i | \(-0.292062\pi\) |
−0.991606 | + | 0.129294i | \(0.958729\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 877.500 | − | 506.625i | 1.53099 | − | 0.883920i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −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 | \(0.453392\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −198.000 | − | 114.315i | −0.304841 | − | 0.176000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −232.500 | − | 402.702i | −0.344102 | − | 0.596002i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 566.500 | − | 981.207i | 0.806788 | − | 1.39740i | −0.108290 | − | 0.994119i | \(-0.534537\pi\) |
0.915078 | − | 0.403278i | \(-0.132129\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 729.000 | 1.00000 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −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 | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 499.500 | + | 288.386i | 0.615540 | + | 0.355382i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1050.00 | −1.25056 | −0.625280 | − | 0.780401i | \(-0.715015\pi\) | ||||
−0.625280 | + | 0.780401i | \(0.715015\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1147.00 | −1.32130 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −922.500 | + | 532.606i | −1.02859 | + | 0.593856i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 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 | \(0.0103576\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 202.500 | − | 350.740i | 0.205576 | − | 0.356068i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −193.500 | + | 335.152i | −0.190633 | + | 0.330187i | −0.945460 | − | 0.325737i | \(-0.894387\pi\) |
0.754827 | + | 0.655924i | \(0.227721\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 275.500 | + | 477.180i | 0.263552 | + | 0.456485i | 0.967183 | − | 0.254080i | \(-0.0817727\pi\) |
−0.703631 | + | 0.710565i | \(0.748439\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1449.73i | 1.34742i | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 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 | \(0.570790\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 862.561i | 0.737574i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 700.500 | + | 1213.30i | 0.583164 | + | 1.01007i | 0.995102 | + | 0.0988572i | \(0.0315187\pi\) |
−0.411938 | + | 0.911212i | \(0.635148\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −877.500 | + | 1519.87i | −0.711542 | + | 1.23243i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −499.500 | − | 865.159i | −0.394691 | − | 0.683624i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 651.000 | − | 1127.57i | 0.501488 | − | 0.868603i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 553.000 | + | 957.824i | 0.415477 | + | 0.719627i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1174.50 | − | 678.098i | 0.860985 | − | 0.497090i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1521.00 | 1.08834 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 880.000 | 0.614861 | 0.307431 | − | 0.951571i | \(-0.400531\pi\) | ||||
0.307431 | + | 0.951571i | \(0.400531\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 193.500 | + | 111.717i | 0.132068 | + | 0.0762493i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 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 | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1093.50 | + | 631.333i | −0.697137 | + | 0.402492i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1330.50 | − | 2304.49i | 0.829725 | − | 1.43713i | −0.0685295 | − | 0.997649i | \(-0.521831\pi\) |
0.898254 | − | 0.439476i | \(-0.144836\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −60.5000 | − | 104.789i | −0.0369176 | − | 0.0639431i | 0.846976 | − | 0.531631i | \(-0.178421\pi\) |
−0.883894 | + | 0.467688i | \(0.845087\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −796.500 | − | 459.859i | −0.475726 | − | 0.274661i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −555.000 | −0.324555 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −999.000 | −0.572155 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2781.00 | + | 1605.61i | −1.56036 | + | 0.900875i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1414.50 | + | 2449.99i | 0.777721 | + | 1.34705i | 0.933253 | + | 0.359221i | \(0.116957\pi\) |
−0.155532 | + | 0.987831i | \(0.549709\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 230.500 | − | 399.238i | 0.124224 | − | 0.215162i | −0.797205 | − | 0.603708i | \(-0.793689\pi\) |
0.921429 | + | 0.388546i | \(0.127023\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1134.00 | 0.599206 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 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 | \(0.560164\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | − | 592.361i | − | 0.295455i | ||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −6045.00 | −2.95909 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3316.00 | 1.59343 | 0.796715 | − | 0.604355i | \(-0.206569\pi\) | ||||
0.796715 | + | 0.604355i | \(0.206569\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 701.481i | 0.330971i | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −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 | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −756.000 | −0.338086 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1990.50 | − | 3447.65i | 0.874768 | − | 1.51514i | 0.0177589 | − | 0.999842i | \(-0.494347\pi\) |
0.857009 | − | 0.515301i | \(-0.172320\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 682.000 | + | 1181.26i | 0.294596 | + | 0.510256i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 715.500 | − | 413.094i | 0.303843 | − | 0.175424i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −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 | \(0.415753\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 859.500 | + | 496.233i | 0.347192 | + | 0.200451i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −747.000 | − | 1293.84i | −0.296868 | − | 0.514190i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 315.000 | − | 545.596i | 0.123182 | − | 0.213358i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −3766.50 | − | 2174.59i | −1.44959 | − | 0.836921i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 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 | \(-0.401826\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1498.50 | + | 865.159i | 0.550307 | + | 0.317720i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2046.00 | 0.739957 | 0.369978 | − | 0.929040i | \(-0.379365\pi\) | ||||
0.369978 | + | 0.929040i | \(0.379365\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2996.00 | −1.06724 | −0.533620 | − | 0.845724i | \(-0.679169\pi\) | ||||
−0.533620 | + | 0.845724i | \(0.679169\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1894.50 | + | 1093.79i | −0.664815 | + | 0.383831i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −1720.50 | − | 2979.99i | −0.594854 | − | 1.03032i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1174.50 | + | 2034.29i | −0.400149 | + | 0.693079i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −2632.50 | − | 4559.62i | −0.883920 | − | 1.53099i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −210.000 | + | 363.731i | −0.0695024 | + | 0.120382i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 377.500 | + | 653.849i | 0.123167 | + | 0.213331i | 0.921015 | − | 0.389528i | \(-0.127362\pi\) |
−0.797848 | + | 0.602858i | \(0.794028\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 810.600i | 0.260758i | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −387.000 | −0.122759 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6355.00 | 1.98804 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | − | 945.700i | − | 0.291801i | ||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −777.000 | − | 1345.80i | −0.236501 | − | 0.409631i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1731.50 | + | 2999.05i | −0.519954 | + | 0.900587i | 0.479777 | + | 0.877391i | \(0.340718\pi\) |
−0.999731 | + | 0.0231966i | \(0.992616\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −594.000 | + | 1028.84i | −0.176000 | + | 0.304841i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 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 | \(0.765539\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2092.50 | + | 1208.11i | −0.596002 | + | 0.344102i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2634.00 | 0.740597 | 0.370298 | − | 0.928913i | \(-0.379255\pi\) | ||||
0.370298 | + | 0.928913i | \(0.379255\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1593.00 | 0.442195 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −5098.50 | − | 2943.62i | −1.39740 | − | 0.806788i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 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 | \(0.102899\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | − | 3788.00i | − | 1.00000i | ||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 2781.00 | − | 4816.83i | 0.725190 | − | 1.25607i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 518.000 | + | 897.202i | 0.133439 | + | 0.231124i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4873.50 | + | 2813.72i | 1.24034 | + | 0.716113i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 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 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1701.00 | + | 982.073i | −0.417728 | + | 0.241176i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −1675.50 | − | 2902.05i | −0.406672 | − | 0.704377i | 0.587842 | − | 0.808976i | \(-0.299978\pi\) |
−0.994515 | + | 0.104598i | \(0.966644\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2573.00 | − | 4456.57i | 0.617291 | − | 1.06918i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1498.50 | − | 2595.48i | 0.355382 | − | 0.615540i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −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 | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 5455.96i | 1.25056i | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1470.00 | −0.333188 | −0.166594 | − | 0.986026i | \(-0.553277\pi\) | ||||
−0.166594 | + | 0.986026i | \(0.553277\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2072.00 | −0.464447 | −0.232223 | − | 0.972662i | \(-0.574600\pi\) | ||||
−0.232223 | + | 0.972662i | \(0.574600\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 5959.99i | 1.32130i | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 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 | \(0.884788\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 2767.50 | + | 4793.45i | 0.593856 | + | 1.02859i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4213.50 | + | 7298.00i | −0.894507 | + | 1.54933i | −0.0600924 | + | 0.998193i | \(0.519140\pi\) |
−0.834414 | + | 0.551138i | \(0.814194\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −228.500 | − | 395.774i | −0.0479962 | − | 0.0831318i | 0.841029 | − | 0.540990i | \(-0.181950\pi\) |
−0.889025 | + | 0.457858i | \(0.848617\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1134.00 | − | 654.715i | 0.235693 | − | 0.136077i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −8091.00 | −1.66410 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3149.00 | −0.640953 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −4054.50 | − | 2340.87i | −0.816766 | − | 0.471560i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 2944.50 | + | 5100.02i | 0.587097 | + | 1.01688i | 0.994610 | + | 0.103683i | \(0.0330628\pi\) |
−0.407513 | + | 0.913199i | \(0.633604\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −715.500 | + | 1239.28i | −0.141214 | + | 0.244589i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −1822.50 | − | 1052.22i | −0.356068 | − | 0.205576i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −3607.50 | + | 6248.37i | −0.697750 | + | 1.20854i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −666.500 | − | 1154.41i | −0.127629 | − | 0.221060i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 1741.50 | + | 1005.46i | 0.330187 | + | 0.190633i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1719.00 | −0.322720 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1204.00 | 0.223830 | 0.111915 | − | 0.993718i | \(-0.464302\pi\) | ||||
0.111915 | + | 0.993718i | \(0.464302\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 2479.50 | − | 1431.54i | 0.456485 | − | 0.263552i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −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 | \(-0.195782\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 7533.00 | 1.34742 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1147.50 | + | 1987.53i | −0.203312 | + | 0.352147i | −0.949594 | − | 0.313483i | \(-0.898504\pi\) |
0.746281 | + | 0.665631i | \(0.231837\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −832.500 | − | 1441.93i | −0.146116 | − | 0.253081i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 62.3538i | − | 0.0108419i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1176.00 | −0.202583 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1628.00 | 0.277862 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 2608.47i | 0.441127i | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 2743.50 | + | 4751.88i | 0.459739 | + | 0.796291i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3339.50 | + | 5784.18i | −0.554548 | + | 0.960506i | 0.443390 | + | 0.896329i | \(0.353776\pi\) |
−0.997939 | + | 0.0641773i | \(0.979558\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 4482.00 | 0.737574 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 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 | \(0.889789\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 6304.50 | − | 3639.90i | 1.01007 | − | 0.583164i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3075.00 | 0.488330 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 8525.00 | 1.34200 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 7897.50 | + | 4559.62i | 1.23243 | + | 0.711542i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 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 | \(0.235428\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4495.50 | + | 2595.48i | −0.683624 | + | 0.394691i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −2377.50 | + | 4117.95i | −0.358475 | + | 0.620896i | −0.987706 | − | 0.156322i | \(-0.950036\pi\) |
0.629232 | + | 0.777218i | \(0.283370\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −702.000 | − | 1215.90i | −0.104953 | − | 0.181784i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −5859.00 | − | 3382.70i | −0.868603 | − | 0.501488i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −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 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 4977.00 | − | 2873.47i | 0.719627 | − | 0.415477i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 819.000 | + | 1418.55i | 0.117448 | + | 0.203425i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1922.50 | − | 3329.87i | 0.273443 | − | 0.473618i | −0.696298 | − | 0.717753i | \(-0.745171\pi\) |
0.969741 | + | 0.244135i | \(0.0785041\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −3523.50 | − | 6102.88i | −0.497090 | − | 0.860985i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −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 | \(0.637454\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | − | 7903.35i | − | 1.08834i | ||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −4107.00 | −0.561064 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12560.0 | −1.70228 | −0.851140 | − | 0.524939i | \(-0.824088\pi\) | ||||
−0.851140 | + | 0.524939i | \(0.824088\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 4572.61i | − | 0.614861i | ||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 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 | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 580.500 | − | 1005.46i | 0.0762493 | − | 0.132068i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 4270.50 | − | 7396.72i | 0.556614 | − | 0.964084i | −0.441162 | − | 0.897428i | \(-0.645433\pi\) |
0.997776 | − | 0.0666565i | \(-0.0212332\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4095.00 | − | 7092.75i | −0.529650 | − | 0.917380i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 6763.50 | − | 3904.91i | 0.868126 | − | 0.501213i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 10197.0 | 1.29890 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13174.0 | −1.66545 | −0.832726 | − | 0.553686i | \(-0.813221\pi\) | ||||
−0.832726 | + | 0.553686i | \(0.813221\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 3906.00 | + | 2255.13i | 0.490087 | + | 0.282952i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4801.50 | − | 8316.44i | −0.597944 | − | 1.03567i | −0.993124 | − | 0.117066i | \(-0.962651\pi\) |
0.395180 | − | 0.918604i | \(-0.370682\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3792.50 | − | 6568.80i | 0.468779 | − | 0.811949i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 3280.50 | + | 5681.99i | 0.402492 | + | 0.697137i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 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 | \(-0.410557\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −11974.5 | − | 6913.48i | −1.43713 | − | 0.829725i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −4929.00 | −0.587264 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −9747.00 | −1.15292 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −544.500 | + | 314.367i | −0.0639431 | + | 0.0369176i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −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 | \(-0.00570601\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −2389.50 | + | 4138.74i | −0.274661 | + | 0.475726i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −924.000 | + | 1600.41i | −0.105460 | + | 0.182662i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2960.50 | − | 5127.74i | −0.335524 | − | 0.581144i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 2883.86i | 0.324555i | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −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 | \(0.296186\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 5190.96i | 0.572155i | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2730.00 | + | 4728.50i | 0.298841 | + | 0.517608i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2174.50 | − | 3766.34i | 0.236408 | − | 0.409471i | −0.723273 | − | 0.690562i | \(-0.757363\pi\) |
0.959681 | + | 0.281091i | \(0.0906964\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 8343.00 | + | 14450.5i | 0.900875 | + | 1.56036i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −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 | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 12730.5 | − | 7349.96i | 1.34705 | − | 0.777721i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −3330.00 | −0.350005 | −0.175003 | − | 0.984568i | \(-0.555993\pi\) | ||||
−0.175003 | + | 0.984568i | \(0.555993\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3915.00 | −0.408759 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −2074.50 | − | 1197.71i | −0.215162 | − | 0.124224i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −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 | \(0.303571\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | − | 5892.44i | − | 0.599206i | ||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −4015.50 | + | 6955.05i | −0.405684 | + | 0.702666i | −0.994401 | − | 0.105674i | \(-0.966300\pi\) |
0.588717 | + | 0.808340i | \(0.299633\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2141.50 | + | 3709.19i | 0.214955 | + | 0.372312i | 0.953259 | − | 0.302156i | \(-0.0977063\pi\) |
−0.738304 | + | 0.674468i | \(0.764373\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −8302.50 | − | 4793.45i | −0.827998 | − | 0.478045i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −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 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 13396.5 | − | 7734.47i | 1.31057 | − | 0.756658i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −322.500 | − | 558.586i | −0.0313500 | − | 0.0542999i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 616.000 | − | 1066.94i | 0.0595032 | − | 0.103063i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3078.00 | −0.295455 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 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 | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 31410.7i | 2.95909i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 8109.00 | 0.759197 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 11296.0 | 1.05107 | 0.525535 | − | 0.850772i | \(-0.323865\pi\) | ||||
0.525535 | + | 0.850772i | \(0.323865\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | − | 17230.4i | − | 1.59343i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −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 | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3645.00 | 0.330971 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2418.00 | − | 4188.10i | 0.218234 | − | 0.377992i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6719.50 | + | 11638.5i | 0.602818 | + | 1.04411i | 0.992392 | + | 0.123116i | \(0.0392888\pi\) |
−0.389574 | + | 0.920995i | \(0.627378\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3064.50 | + | 1769.29i | −0.273277 | + | 0.157777i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 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 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −3726.00 | − | 2151.21i | −0.326386 | − | 0.188439i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1894.50 | + | 3281.37i | 0.164975 | + | 0.285745i | 0.936646 | − | 0.350276i | \(-0.113912\pi\) |
−0.771671 | + | 0.636021i | \(0.780579\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2821.00 | + | 4886.12i | −0.244215 | + | 0.422992i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 3928.29i | 0.338086i | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −2479.50 | + | 4294.62i | −0.212155 | + | 0.367463i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1327.50 | + | 2299.30i | 0.112927 | + | 0.195596i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −17914.5 | − | 10342.9i | −1.51514 | − | 0.874768i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 9786.00 | 0.822903 | 0.411451 | − | 0.911432i | \(-0.365022\pi\) | ||||
0.411451 | + | 0.911432i | \(0.365022\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8008.00 | 0.669532 | 0.334766 | − | 0.942301i | \(-0.391343\pi\) | ||||
0.334766 | + | 0.942301i | \(0.391343\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 6138.00 | − | 3543.78i | 0.510256 | − | 0.294596i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 4305.00 | + | 7456.48i | 0.355842 | + | 0.616336i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −12929.0 | + | 22393.7i | −1.06263 | + | 1.84053i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −2146.50 | − | 3717.85i | −0.175424 | − | 0.303843i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4828.50 | + | 8363.21i | −0.392393 | + | 0.679645i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 54.0000 | + | 93.5307i | 0.00436378 | + | 0.00755829i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 10413.1i | 0.836793i | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 9270.00 | 0.740793 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2938.00 | −0.233483 | −0.116742 | − | 0.993162i | \(-0.537245\pi\) | ||||
−0.116742 | + | 0.993162i | \(0.537245\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | − | 6619.90i | − | 0.523181i | ||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −2259.00 | − | 3912.70i | −0.177550 | − | 0.307526i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5187.50 | + | 8985.01i | −0.405487 | + | 0.702324i | −0.994378 | − | 0.105888i | \(-0.966231\pi\) |
0.588891 | + | 0.808213i | \(0.299565\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 2578.50 | − | 4466.09i | 0.200451 | − | 0.347192i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1554.00 | + | 2691.61i | −0.120150 | + | 0.208106i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 17561.5 | + | 30417.4i | 1.35044 | + | 2.33902i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −6723.00 | + | 3881.53i | −0.514190 | + | 0.296868i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3306.00 | 0.251490 | 0.125745 | − | 0.992063i | \(-0.459868\pi\) | ||||
0.125745 | + | 0.992063i | \(0.459868\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1591.00 | −0.120379 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2835.00 | − | 1636.79i | −0.213358 | − | 0.123182i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −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 | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −11299.5 | + | 19571.3i | −0.836921 | + | 1.44959i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −643.500 | + | 1114.57i | −0.0474111 | + | 0.0821185i | −0.888757 | − | 0.458379i | \(-0.848430\pi\) |
0.841346 | + | 0.540497i | \(0.181764\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7517.50 | + | 13020.7i | 0.550959 | + | 0.954289i | 0.998206 | + | 0.0598783i | \(0.0190713\pi\) |
−0.447247 | + | 0.894411i | \(0.647595\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −5224.50 | − | 3016.37i | −0.380902 | − | 0.219914i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 8580.00 | 0.622280 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1190.00 | 0.0858585 | 0.0429292 | − | 0.999078i | \(-0.486331\pi\) | ||||
0.0429292 | + | 0.999078i | \(0.486331\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −16249.5 | + | 9381.65i | −1.16633 | + | 0.673382i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −16786.5 | − | 29075.1i | −1.19866 | − | 2.07614i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −855.000 | + | 1480.90i | −0.0607384 | + | 0.105202i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 4495.50 | − | 7786.43i | 0.317720 | − | 0.550307i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −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 | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − | 10631.3i | − | 0.739957i | ||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 20118.0 | 1.39317 | 0.696583 | − | 0.717476i | \(-0.254703\pi\) | ||||
0.696583 | + | 0.717476i | \(0.254703\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 11718.0 | 0.807380 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 15567.7i | 1.06724i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −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 | \(-0.0816331\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 5683.50 | + | 9844.11i | 0.383831 | + | 0.664815i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −4977.00 | + | 8620.42i | −0.334453 | + | 0.579289i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −7872.50 | − | 13635.6i | −0.526417 | − | 0.911780i | −0.999526 | − | 0.0307768i | \(-0.990202\pi\) |
0.473110 | − | 0.881004i | \(-0.343131\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −15484.5 | + | 8939.98i | −1.03032 | + | 0.594854i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 6549.00 | 0.433624 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5042.00 | 0.332210 | 0.166105 | − | 0.986108i | \(-0.446881\pi\) | ||||
0.166105 | + | 0.986108i | \(0.446881\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 10570.5 | + | 6102.88i | 0.693079 | + | 0.400149i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 5026.50 | + | 8706.15i | 0.327973 | + | 0.568066i | 0.982110 | − | 0.188311i | \(-0.0603012\pi\) |
−0.654137 | + | 0.756376i | \(0.726968\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2991.50 | + | 5181.43i | −0.194246 | + | 0.336445i | −0.946653 | − | 0.322254i | \(-0.895559\pi\) |
0.752407 | + | 0.658699i | \(0.228893\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −23692.5 | + | 13678.9i | −1.53099 | + | 0.883920i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 16275.0 | − | 28189.1i | 1.04662 | − | 1.81280i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4094.50 | + | 7091.88i | 0.262048 | + | 0.453880i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1890.00 | + | 1091.19i | 0.120382 | + | 0.0695024i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 6972.00 | 0.441958 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 19696.0 | 1.24261 | 0.621304 | − | 0.783570i | \(-0.286603\pi\) | ||||
0.621304 | + | 0.783570i | \(0.286603\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 3397.50 | − | 1961.55i | 0.213331 | − | 0.123167i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 3960.00 | + | 6858.92i | 0.247477 | + | 0.428642i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 11433.0 | − | 19802.5i | 0.711133 | − | 1.23172i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 4212.00 | 0.260758 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 5488.50 | − | 9506.36i | 0.338195 | − | 0.585770i | −0.645899 | − | 0.763423i | \(-0.723517\pi\) |
0.984093 | + | 0.177653i | \(0.0568505\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7914.50 | − | 13708.3i | −0.485408 | − | 0.840752i | 0.514451 | − | 0.857520i | \(-0.327996\pi\) |
−0.999859 | + | 0.0167681i | \(0.994662\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 2010.91i | 0.122759i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −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 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | − | 33021.5i | − | 1.98804i | ||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −14083.5 | − | 24393.3i | −0.843997 | − | 1.46185i | −0.886490 | − | 0.462749i | \(-0.846863\pi\) |
0.0424927 | − | 0.999097i | \(-0.486470\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6763.50 | + | 11714.7i | −0.403468 | + | 0.698828i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −4914.00 | −0.291801 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 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 | \(0.929637\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −6993.00 | + | 4037.41i | −0.409631 | + | 0.236501i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −7812.00 | −0.455543 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −21645.0 | −1.25652 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 15583.5 | + | 8997.14i | 0.900587 | + | 0.519954i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −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 | \(0.168955\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 5346.00 | + | 3086.51i | 0.304841 | + | 0.176000i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −4225.50 | + | 7318.78i | −0.239881 | + | 0.415485i | −0.960680 | − | 0.277659i | \(-0.910442\pi\) |
0.720799 | + | 0.693144i | \(0.243775\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 13965.5 | + | 24189.0i | 0.789318 | + | 1.36714i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −28012.5 | − | 16173.0i | −1.57627 | − | 0.910061i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 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 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 6592.50 | − | 3806.18i | 0.366113 | − | 0.211375i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 2109.00 | + | 3652.90i | 0.116613 | + | 0.201980i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3182.50 | − | 5512.25i | 0.175207 | − | 0.303467i | −0.765026 | − | 0.643999i | \(-0.777274\pi\) |
0.940233 | + | 0.340532i | \(0.110607\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 6277.50 | + | 10872.9i | 0.344102 | + | 0.596002i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 544.500 | − | 943.102i | 0.0297181 | − | 0.0514732i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5481.00 | − | 9493.37i | −0.297859 | − | 0.515907i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | − | 13686.7i | − | 0.740597i | ||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1122.00 | 0.0604527 | 0.0302264 | − | 0.999543i | \(-0.490377\pi\) | ||||
0.0302264 | + | 0.999543i | \(0.490377\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4648.00 | −0.249364 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | − | 8277.47i | − | 0.442195i | ||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −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 | \(0.202852\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −15295.5 | + | 26492.6i | −0.806788 | + | 1.39740i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 19987.5 | − | 34619.4i | 1.04984 | − | 1.81838i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2497.50 | − | 4325.80i | −0.130631 | − | 0.226260i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 31117.5 | − | 17965.7i | 1.62079 | − | 0.935762i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −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 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −6700.50 | − | 3868.54i | −0.344667 | − | 0.198994i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2442.00 | + | 4229.67i | 0.125095 | + | 0.216670i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 12002.5 | − | 20788.9i | 0.612308 | − | 1.06055i | −0.378542 | − | 0.925584i | \(-0.623574\pi\) |
0.990850 | − | 0.134965i | \(-0.0430922\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −19683.0 | −1.00000 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 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 | \(0.439553\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −25029.0 | − | 14450.5i | −1.25607 | − | 0.725190i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 6315.00 | 0.315626 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 880.000 | 0.0438042 | 0.0219021 | − | 0.999760i | \(-0.493028\pi\) | ||||
0.0219021 | + | 0.999760i | \(0.493028\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4662.00 | − | 2691.61i | 0.231124 | − | 0.133439i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 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 | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 14620.5 | − | 25323.4i | 0.716113 | − | 1.24034i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −186.000 | + | 322.161i | −0.00907382 | + | 0.0157163i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3444.50 | − | 5966.05i | −0.167366 | − | 0.289886i | 0.770127 | − | 0.637890i | \(-0.220193\pi\) |
−0.937493 | + | 0.348005i | \(0.886859\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | − | 24006.2i | − | 1.16180i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 4149.00 | 0.199997 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12850.0 | −0.616963 | −0.308482 | − | 0.951230i | \(-0.599821\pi\) | ||||
−0.308482 | + | 0.951230i | \(0.599821\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 15198.7i | 0.726850i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −2305.50 | − | 3993.24i | −0.109822 | − | 0.190217i | 0.805876 | − | 0.592084i | \(-0.201695\pi\) |
−0.915698 | + | 0.401867i | \(0.868361\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7781.00 | − | 13477.1i | 0.369189 | − | 0.639454i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 5103.00 | + | 8838.66i | 0.241176 | + | 0.417728i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −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 | \(0.816122\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −15079.5 | + | 8706.15i | −0.704377 | + | 0.406672i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −34902.0 | −1.62398 | −0.811991 | − | 0.583670i | \(-0.801616\pi\) | ||||
−0.811991 | + | 0.583670i | \(0.801616\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −9020.00 | −0.418075 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −23157.0 | − | 13369.7i | −1.06918 | − | 0.617291i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 3654.00 | + | 6328.91i | 0.168059 | + | 0.291087i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1170.00 | − | 2026.50i | 0.0536055 | − | 0.0928474i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −13486.5 | − | 7786.43i | −0.615540 | − | 0.355382i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −13396.5 | + | 23203.4i | −0.609098 | + | 1.05499i | ||||
\(786\) | 0 |