Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(244,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.244");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 487.3 | ||
Root | \(1.91182i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.487 |
Dual form | 729.2.c.a.244.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.789202 | + | 1.36694i | −0.558050 | + | 0.966571i | 0.439609 | + | 0.898189i | \(0.355117\pi\) |
−0.997659 | + | 0.0683820i | \(0.978216\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.245680 | − | 0.425530i | −0.122840 | − | 0.212765i | ||||
\(5\) | 0.839254 | + | 1.45363i | 0.375326 | + | 0.650083i | 0.990376 | − | 0.138405i | \(-0.0441975\pi\) |
−0.615050 | + | 0.788488i | \(0.710864\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.38964 | + | 2.40693i | −0.525235 | + | 0.909734i | 0.474333 | + | 0.880345i | \(0.342689\pi\) |
−0.999568 | + | 0.0293881i | \(0.990644\pi\) | |||||||
\(8\) | −2.38124 | −0.841897 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.64936 | −0.837802 | ||||||||
\(11\) | −2.07561 | + | 3.59506i | −0.625820 | + | 1.08395i | 0.362561 | + | 0.931960i | \(0.381902\pi\) |
−0.988382 | + | 0.151993i | \(0.951431\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.43802 | − | 5.95483i | −0.953536 | − | 1.65157i | −0.737684 | − | 0.675147i | \(-0.764080\pi\) |
−0.215852 | − | 0.976426i | \(-0.569253\pi\) | |||||||
\(14\) | −2.19342 | − | 3.79911i | −0.586215 | − | 1.01535i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.37064 | − | 4.10607i | 0.592661 | − | 1.02652i | ||||
\(17\) | −0.976551 | −0.236848 | −0.118424 | − | 0.992963i | \(-0.537784\pi\) | ||||
−0.118424 | + | 0.992963i | \(0.537784\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.68529 | 0.616048 | 0.308024 | − | 0.951379i | \(-0.400332\pi\) | ||||
0.308024 | + | 0.951379i | \(0.400332\pi\) | |||||||
\(20\) | 0.412376 | − | 0.714256i | 0.0922100 | − | 0.159712i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.27615 | − | 5.67446i | −0.698478 | − | 1.20980i | ||||
\(23\) | 0.806585 | + | 1.39705i | 0.168185 | + | 0.291304i | 0.937782 | − | 0.347226i | \(-0.112876\pi\) |
−0.769597 | + | 0.638530i | \(0.779543\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.09131 | − | 1.89020i | 0.218261 | − | 0.378040i | ||||
\(26\) | 10.8532 | 2.12848 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.36563 | 0.258079 | ||||||||
\(29\) | −4.11394 | + | 7.12555i | −0.763939 | + | 1.32318i | 0.176866 | + | 0.984235i | \(0.443404\pi\) |
−0.940806 | + | 0.338947i | \(0.889929\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.522035 | − | 0.904190i | −0.0937602 | − | 0.162397i | 0.815330 | − | 0.578996i | \(-0.196555\pi\) |
−0.909090 | + | 0.416599i | \(0.863222\pi\) | |||||||
\(32\) | 1.36059 | + | 2.35661i | 0.240520 | + | 0.416593i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.770696 | − | 1.33489i | 0.132173 | − | 0.228931i | ||||
\(35\) | −4.66505 | −0.788537 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.30834 | −0.215091 | −0.107545 | − | 0.994200i | \(-0.534299\pi\) | ||||
−0.107545 | + | 0.994200i | \(0.534299\pi\) | |||||||
\(38\) | −2.11924 | + | 3.67062i | −0.343785 | + | 0.595454i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.99847 | − | 3.46145i | −0.315986 | − | 0.547303i | ||||
\(41\) | −2.42408 | − | 4.19864i | −0.378578 | − | 0.655717i | 0.612277 | − | 0.790643i | \(-0.290254\pi\) |
−0.990856 | + | 0.134926i | \(0.956920\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.92011 | + | 8.52189i | −0.750310 | + | 1.29958i | 0.197362 | + | 0.980331i | \(0.436763\pi\) |
−0.947672 | + | 0.319245i | \(0.896571\pi\) | |||||||
\(44\) | 2.03974 | 0.307503 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.54623 | −0.375422 | ||||||||
\(47\) | 6.24885 | − | 10.8233i | 0.911488 | − | 1.57874i | 0.0995258 | − | 0.995035i | \(-0.468267\pi\) |
0.811963 | − | 0.583709i | \(-0.198399\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.362204 | − | 0.627356i | −0.0517434 | − | 0.0896222i | ||||
\(50\) | 1.72252 | + | 2.98350i | 0.243601 | + | 0.421930i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.68931 | + | 2.92596i | −0.234265 | + | 0.405758i | ||||
\(53\) | −7.34280 | −1.00861 | −0.504305 | − | 0.863525i | \(-0.668251\pi\) | ||||
−0.504305 | + | 0.863525i | \(0.668251\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.96786 | −0.939546 | ||||||||
\(56\) | 3.30907 | − | 5.73148i | 0.442194 | − | 0.765902i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.49346 | − | 11.2470i | −0.852633 | − | 1.47680i | ||||
\(59\) | 4.52594 | + | 7.83915i | 0.589227 | + | 1.02057i | 0.994334 | + | 0.106302i | \(0.0339009\pi\) |
−0.405107 | + | 0.914269i | \(0.632766\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.642871 | − | 1.11349i | 0.0823112 | − | 0.142567i | −0.821931 | − | 0.569587i | \(-0.807103\pi\) |
0.904242 | + | 0.427020i | \(0.140437\pi\) | |||||||
\(62\) | 1.64796 | 0.209292 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.18745 | 0.648432 | ||||||||
\(65\) | 5.77075 | − | 9.99523i | 0.715773 | − | 1.23976i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.32315 | + | 4.02381i | 0.283818 | + | 0.491587i | 0.972322 | − | 0.233646i | \(-0.0750655\pi\) |
−0.688504 | + | 0.725233i | \(0.741732\pi\) | |||||||
\(68\) | 0.239919 | + | 0.415552i | 0.0290945 | + | 0.0503931i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.68166 | − | 6.37683i | 0.440043 | − | 0.762177i | ||||
\(71\) | −5.62373 | −0.667414 | −0.333707 | − | 0.942677i | \(-0.608300\pi\) | ||||
−0.333707 | + | 0.942677i | \(0.608300\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.56144 | −0.533877 | −0.266938 | − | 0.963714i | \(-0.586012\pi\) | ||||
−0.266938 | + | 0.963714i | \(0.586012\pi\) | |||||||
\(74\) | 1.03255 | − | 1.78843i | 0.120031 | − | 0.207900i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.659722 | − | 1.14267i | −0.0756753 | − | 0.131073i | ||||
\(77\) | −5.76871 | − | 9.99170i | −0.657405 | − | 1.13866i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.32840 | + | 4.03291i | −0.261966 | + | 0.453738i | −0.966764 | − | 0.255670i | \(-0.917704\pi\) |
0.704799 | + | 0.709407i | \(0.251037\pi\) | |||||||
\(80\) | 7.95828 | 0.889763 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 7.65237 | 0.845063 | ||||||||
\(83\) | 2.88220 | − | 4.99211i | 0.316362 | − | 0.547955i | −0.663364 | − | 0.748297i | \(-0.730872\pi\) |
0.979726 | + | 0.200342i | \(0.0642052\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.819574 | − | 1.41954i | −0.0888953 | − | 0.153971i | ||||
\(86\) | −7.76593 | − | 13.4510i | −0.837422 | − | 1.45046i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.94254 | − | 8.56072i | 0.526876 | − | 0.912576i | ||||
\(89\) | −4.54442 | −0.481707 | −0.240854 | − | 0.970561i | \(-0.577427\pi\) | ||||
−0.240854 | + | 0.970561i | \(0.577427\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 19.1105 | 2.00332 | ||||||||
\(92\) | 0.396323 | − | 0.686452i | 0.0413196 | − | 0.0715676i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 9.86321 | + | 17.0836i | 1.01731 | + | 1.76204i | ||||
\(95\) | 2.25364 | + | 3.90342i | 0.231218 | + | 0.400482i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.28772 | + | 7.42655i | −0.435352 | + | 0.754052i | −0.997324 | − | 0.0731042i | \(-0.976709\pi\) |
0.561972 | + | 0.827156i | \(0.310043\pi\) | |||||||
\(98\) | 1.14341 | 0.115502 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.07245 | −0.107245 | ||||||||
\(101\) | −3.90285 | + | 6.75994i | −0.388348 | + | 0.672639i | −0.992228 | − | 0.124437i | \(-0.960288\pi\) |
0.603879 | + | 0.797076i | \(0.293621\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.08307 | + | 1.87594i | 0.106718 | + | 0.184842i | 0.914439 | − | 0.404724i | \(-0.132632\pi\) |
−0.807721 | + | 0.589565i | \(0.799299\pi\) | |||||||
\(104\) | 8.18677 | + | 14.1799i | 0.802779 | + | 1.39045i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.79495 | − | 10.0371i | 0.562855 | − | 0.974894i | ||||
\(107\) | −12.5849 | −1.21663 | −0.608317 | − | 0.793695i | \(-0.708155\pi\) | ||||
−0.608317 | + | 0.793695i | \(0.708155\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.2140 | −1.16989 | −0.584945 | − | 0.811073i | \(-0.698884\pi\) | ||||
−0.584945 | + | 0.811073i | \(0.698884\pi\) | |||||||
\(110\) | 5.49905 | − | 9.52463i | 0.524314 | − | 0.908138i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 6.58868 | + | 11.4119i | 0.622572 | + | 1.07833i | ||||
\(113\) | 0.225417 | + | 0.390433i | 0.0212054 | + | 0.0367288i | 0.876433 | − | 0.481523i | \(-0.159916\pi\) |
−0.855228 | + | 0.518252i | \(0.826583\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.35386 | + | 2.34495i | −0.126248 | + | 0.218668i | ||||
\(116\) | 4.04285 | 0.375369 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −14.2875 | −1.31527 | ||||||||
\(119\) | 1.35706 | − | 2.35049i | 0.124401 | − | 0.215469i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.11632 | − | 5.39763i | −0.283302 | − | 0.490694i | ||||
\(122\) | 1.01471 | + | 1.75753i | 0.0918675 | + | 0.159119i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.256507 | + | 0.444283i | −0.0230350 | + | 0.0398978i | ||||
\(125\) | 12.0561 | 1.07833 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.531069 | −0.0471247 | −0.0235624 | − | 0.999722i | \(-0.507501\pi\) | ||||
−0.0235624 | + | 0.999722i | \(0.507501\pi\) | |||||||
\(128\) | −6.81513 | + | 11.8041i | −0.602378 | + | 1.04335i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 9.10857 | + | 15.7765i | 0.798875 | + | 1.38369i | ||||
\(131\) | −5.70802 | − | 9.88658i | −0.498712 | − | 0.863794i | 0.501287 | − | 0.865281i | \(-0.332860\pi\) |
−0.999999 | + | 0.00148672i | \(0.999527\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.73159 | + | 6.46330i | −0.323570 | + | 0.560439i | ||||
\(134\) | −7.33374 | −0.633539 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.32541 | 0.199402 | ||||||||
\(137\) | −2.11462 | + | 3.66263i | −0.180664 | + | 0.312920i | −0.942107 | − | 0.335313i | \(-0.891158\pi\) |
0.761443 | + | 0.648232i | \(0.224491\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.57776 | + | 9.66097i | 0.473100 | + | 0.819433i | 0.999526 | − | 0.0307879i | \(-0.00980165\pi\) |
−0.526426 | + | 0.850221i | \(0.676468\pi\) | |||||||
\(140\) | 1.14611 | + | 1.98512i | 0.0968638 | + | 0.167773i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 4.43826 | − | 7.68730i | 0.372451 | − | 0.645104i | ||||
\(143\) | 28.5440 | 2.38697 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −13.8106 | −1.14690 | ||||||||
\(146\) | 3.59990 | − | 6.23521i | 0.297930 | − | 0.516030i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.321434 | + | 0.556740i | 0.0264217 | + | 0.0457638i | ||||
\(149\) | 9.73885 | + | 16.8682i | 0.797837 | + | 1.38189i | 0.921022 | + | 0.389511i | \(0.127356\pi\) |
−0.123184 | + | 0.992384i | \(0.539311\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.621430 | − | 1.07635i | 0.0505713 | − | 0.0875920i | −0.839632 | − | 0.543156i | \(-0.817229\pi\) |
0.890203 | + | 0.455564i | \(0.150562\pi\) | |||||||
\(152\) | −6.39433 | −0.518649 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 18.2107 | 1.46746 | ||||||||
\(155\) | 0.876239 | − | 1.51769i | 0.0703812 | − | 0.121904i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.76657 | + | 3.05979i | 0.140988 | + | 0.244198i | 0.927869 | − | 0.372907i | \(-0.121639\pi\) |
−0.786881 | + | 0.617105i | \(0.788306\pi\) | |||||||
\(158\) | −3.67516 | − | 6.36556i | −0.292380 | − | 0.506417i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.28376 | + | 3.95558i | −0.180547 | + | 0.312716i | ||||
\(161\) | −4.48345 | −0.353346 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 15.9509 | 1.24937 | 0.624685 | − | 0.780877i | \(-0.285228\pi\) | ||||
0.624685 | + | 0.780877i | \(0.285228\pi\) | |||||||
\(164\) | −1.19110 | + | 2.06304i | −0.0930091 | + | 0.161097i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.54927 | + | 7.87957i | 0.353092 | + | 0.611573i | ||||
\(167\) | −7.24232 | − | 12.5441i | −0.560428 | − | 0.970689i | −0.997459 | − | 0.0712430i | \(-0.977303\pi\) |
0.437031 | − | 0.899446i | \(-0.356030\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −17.1400 | + | 29.6873i | −1.31846 | + | 2.28364i | ||||
\(170\) | 2.58724 | 0.198432 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.83509 | 0.368672 | ||||||||
\(173\) | −6.30870 | + | 10.9270i | −0.479641 | + | 0.830763i | −0.999727 | − | 0.0233506i | \(-0.992567\pi\) |
0.520086 | + | 0.854114i | \(0.325900\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.03305 | + | 5.25339i | 0.229277 | + | 0.397119i | ||||
\(176\) | 9.84106 | + | 17.0452i | 0.741798 | + | 1.28483i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.58646 | − | 6.21194i | 0.268817 | − | 0.465605i | ||||
\(179\) | 0.295899 | 0.0221165 | 0.0110582 | − | 0.999939i | \(-0.496480\pi\) | ||||
0.0110582 | + | 0.999939i | \(0.496480\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.42050 | 0.105585 | 0.0527925 | − | 0.998606i | \(-0.483188\pi\) | ||||
0.0527925 | + | 0.998606i | \(0.483188\pi\) | |||||||
\(182\) | −15.0820 | + | 26.1228i | −1.11795 | + | 1.93635i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.92068 | − | 3.32671i | −0.141594 | − | 0.245248i | ||||
\(185\) | −1.09803 | − | 1.90185i | −0.0807290 | − | 0.139827i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.02694 | − | 3.51076i | 0.148225 | − | 0.256732i | ||||
\(188\) | −6.14087 | −0.447869 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.11431 | −0.516126 | ||||||||
\(191\) | −10.3120 | + | 17.8610i | −0.746153 | + | 1.29238i | 0.203501 | + | 0.979075i | \(0.434768\pi\) |
−0.949654 | + | 0.313301i | \(0.898565\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.4780 | + | 18.1484i | 0.754221 | + | 1.30635i | 0.945761 | + | 0.324864i | \(0.105319\pi\) |
−0.191540 | + | 0.981485i | \(0.561348\pi\) | |||||||
\(194\) | −6.76776 | − | 11.7221i | −0.485897 | − | 0.841598i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.177972 | + | 0.308257i | −0.0127123 | + | 0.0220184i | ||||
\(197\) | −9.59621 | −0.683702 | −0.341851 | − | 0.939754i | \(-0.611054\pi\) | ||||
−0.341851 | + | 0.939754i | \(0.611054\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.6917 | −0.757912 | −0.378956 | − | 0.925415i | \(-0.623717\pi\) | ||||
−0.378956 | + | 0.925415i | \(0.623717\pi\) | |||||||
\(200\) | −2.59867 | + | 4.50102i | −0.183753 | + | 0.318270i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.16028 | − | 10.6699i | −0.433436 | − | 0.750732i | ||||
\(203\) | −11.4338 | − | 19.8039i | −0.802495 | − | 1.38996i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.06885 | − | 7.04745i | 0.284180 | − | 0.492215i | ||||
\(206\) | −3.41906 | −0.238217 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −32.6013 | −2.26049 | ||||||||
\(209\) | −5.57362 | + | 9.65379i | −0.385535 | + | 0.667766i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.52512 | + | 13.0339i | 0.518051 | + | 0.897290i | 0.999780 | + | 0.0209700i | \(0.00667546\pi\) |
−0.481729 | + | 0.876320i | \(0.659991\pi\) | |||||||
\(212\) | 1.80398 | + | 3.12458i | 0.123898 | + | 0.214597i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 9.93207 | − | 17.2028i | 0.678942 | − | 1.17596i | ||||
\(215\) | −16.5169 | −1.12644 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.90176 | 0.196984 | ||||||||
\(218\) | 9.63931 | − | 16.6958i | 0.652857 | − | 1.13078i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.71186 | + | 2.96503i | 0.115414 | + | 0.199903i | ||||
\(221\) | 3.35741 | + | 5.81520i | 0.225844 | + | 0.391172i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.14405 | − | 10.6418i | 0.411436 | − | 0.712629i | −0.583611 | − | 0.812034i | \(-0.698361\pi\) |
0.995047 | + | 0.0994049i | \(0.0316939\pi\) | |||||||
\(224\) | −7.56292 | −0.505319 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.711597 | −0.0473347 | ||||||||
\(227\) | −1.87628 | + | 3.24981i | −0.124533 | + | 0.215698i | −0.921550 | − | 0.388259i | \(-0.873077\pi\) |
0.797017 | + | 0.603957i | \(0.206410\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.30121 | + | 16.1102i | 0.614641 | + | 1.06459i | 0.990447 | + | 0.137892i | \(0.0440326\pi\) |
−0.375806 | + | 0.926698i | \(0.622634\pi\) | |||||||
\(230\) | −2.13694 | − | 3.70128i | −0.140905 | − | 0.244055i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.79629 | − | 16.9677i | 0.643158 | − | 1.11398i | ||||
\(233\) | 0.545784 | 0.0357555 | 0.0178777 | − | 0.999840i | \(-0.494309\pi\) | ||||
0.0178777 | + | 0.999840i | \(0.494309\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 20.9775 | 1.36842 | ||||||||
\(236\) | 2.22386 | − | 3.85185i | 0.144761 | − | 0.250734i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.14198 | + | 3.71002i | 0.138844 | + | 0.240485i | ||||
\(239\) | 10.0474 | + | 17.4026i | 0.649911 | + | 1.12568i | 0.983144 | + | 0.182834i | \(0.0585270\pi\) |
−0.333233 | + | 0.942844i | \(0.608140\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.64565 | + | 13.2427i | −0.492500 | + | 0.853034i | −0.999963 | − | 0.00863907i | \(-0.997250\pi\) |
0.507463 | + | 0.861674i | \(0.330583\pi\) | |||||||
\(242\) | 9.83763 | 0.632387 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.631762 | −0.0404444 | ||||||||
\(245\) | 0.607962 | − | 1.05302i | 0.0388413 | − | 0.0672751i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.23208 | − | 15.9904i | −0.587423 | − | 1.01745i | ||||
\(248\) | 1.24309 | + | 2.15310i | 0.0789364 | + | 0.136722i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −9.51468 | + | 16.4799i | −0.601761 | + | 1.04228i | ||||
\(251\) | 12.7563 | 0.805171 | 0.402586 | − | 0.915382i | \(-0.368112\pi\) | ||||
0.402586 | + | 0.915382i | \(0.368112\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.69663 | −0.421013 | ||||||||
\(254\) | 0.419121 | − | 0.725938i | 0.0262980 | − | 0.0455494i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −5.56957 | − | 9.64678i | −0.348098 | − | 0.602924i | ||||
\(257\) | 6.55235 | + | 11.3490i | 0.408725 | + | 0.707932i | 0.994747 | − | 0.102363i | \(-0.0326403\pi\) |
−0.586023 | + | 0.810295i | \(0.699307\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.81813 | − | 3.14909i | 0.112973 | − | 0.195675i | ||||
\(260\) | −5.67103 | −0.351702 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 18.0191 | 1.11323 | ||||||||
\(263\) | 4.75709 | − | 8.23952i | 0.293335 | − | 0.508070i | −0.681262 | − | 0.732040i | \(-0.738568\pi\) |
0.974596 | + | 0.223970i | \(0.0719017\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.16247 | − | 10.6737i | −0.378557 | − | 0.655681i | ||||
\(266\) | −5.88995 | − | 10.2017i | −0.361136 | − | 0.625506i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.14150 | − | 1.97714i | 0.0697284 | − | 0.120773i | ||||
\(269\) | 22.1408 | 1.34995 | 0.674973 | − | 0.737842i | \(-0.264155\pi\) | ||||
0.674973 | + | 0.737842i | \(0.264155\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 27.9627 | 1.69861 | 0.849307 | − | 0.527899i | \(-0.177020\pi\) | ||||
0.849307 | + | 0.527899i | \(0.177020\pi\) | |||||||
\(272\) | −2.31505 | + | 4.00979i | −0.140371 | + | 0.243129i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.33773 | − | 5.78111i | −0.201639 | − | 0.349250i | ||||
\(275\) | 4.53025 | + | 7.84663i | 0.273185 | + | 0.473170i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.44184 | − | 16.3537i | 0.567305 | − | 0.982601i | −0.429526 | − | 0.903054i | \(-0.641319\pi\) |
0.996831 | − | 0.0795468i | \(-0.0253473\pi\) | |||||||
\(278\) | −17.6079 | −1.05605 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 11.1086 | 0.663867 | ||||||||
\(281\) | 10.0009 | − | 17.3220i | 0.596602 | − | 1.03335i | −0.396717 | − | 0.917941i | \(-0.629850\pi\) |
0.993319 | − | 0.115404i | \(-0.0368162\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.37252 | − | 14.5016i | −0.497695 | − | 0.862032i | 0.502302 | − | 0.864692i | \(-0.332487\pi\) |
−0.999996 | + | 0.00266002i | \(0.999153\pi\) | |||||||
\(284\) | 1.38164 | + | 2.39307i | 0.0819852 | + | 0.142002i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −22.5270 | + | 39.0179i | −1.33205 | + | 2.30717i | ||||
\(287\) | 13.4744 | 0.795371 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.0463 | −0.943903 | ||||||||
\(290\) | 10.8993 | − | 18.8782i | 0.640030 | − | 1.10856i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.12066 | + | 1.94103i | 0.0655814 | + | 0.113590i | ||||
\(293\) | −9.78600 | − | 16.9499i | −0.571704 | − | 0.990221i | −0.996391 | − | 0.0848806i | \(-0.972949\pi\) |
0.424687 | − | 0.905340i | \(-0.360384\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.59682 | + | 13.1581i | −0.442304 | + | 0.766093i | ||||
\(296\) | 3.11549 | 0.181084 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −30.7437 | −1.78093 | ||||||||
\(299\) | 5.54611 | − | 9.60615i | 0.320740 | − | 0.555538i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −13.6744 | − | 23.6847i | −0.788178 | − | 1.36517i | ||||
\(302\) | 0.980868 | + | 1.69891i | 0.0564426 | + | 0.0977614i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 6.36586 | − | 11.0260i | 0.365107 | − | 0.632384i | ||||
\(305\) | 2.15813 | 0.123574 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 14.8995 | 0.850357 | 0.425179 | − | 0.905109i | \(-0.360211\pi\) | ||||
0.425179 | + | 0.905109i | \(0.360211\pi\) | |||||||
\(308\) | −2.83451 | + | 4.90952i | −0.161511 | + | 0.279746i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.38306 | + | 2.39553i | 0.0785525 | + | 0.136057i | ||||
\(311\) | −2.29618 | − | 3.97710i | −0.130204 | − | 0.225521i | 0.793551 | − | 0.608504i | \(-0.208230\pi\) |
−0.923755 | + | 0.382983i | \(0.874897\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.93434 | + | 10.2786i | −0.335429 | + | 0.580980i | −0.983567 | − | 0.180543i | \(-0.942215\pi\) |
0.648138 | + | 0.761523i | \(0.275548\pi\) | |||||||
\(314\) | −5.57672 | −0.314713 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.28817 | 0.128719 | ||||||||
\(317\) | 7.25867 | − | 12.5724i | 0.407688 | − | 0.706136i | −0.586943 | − | 0.809629i | \(-0.699669\pi\) |
0.994630 | + | 0.103493i | \(0.0330019\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −17.0779 | − | 29.5797i | −0.956177 | − | 1.65615i | ||||
\(320\) | 4.35359 | + | 7.54064i | 0.243373 | + | 0.421535i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.53835 | − | 6.12860i | 0.197185 | − | 0.341534i | ||||
\(323\) | −2.62232 | −0.145910 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.0077 | −0.832480 | ||||||||
\(326\) | −12.5885 | + | 21.8039i | −0.697211 | + | 1.20760i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.77234 | + | 9.99798i | 0.318724 | + | 0.552046i | ||||
\(329\) | 17.3673 | + | 30.0811i | 0.957491 | + | 1.65842i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.05285 | − | 7.01974i | 0.222765 | − | 0.385840i | −0.732882 | − | 0.680356i | \(-0.761825\pi\) |
0.955647 | + | 0.294516i | \(0.0951585\pi\) | |||||||
\(332\) | −2.83239 | −0.155448 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 22.8626 | 1.25099 | ||||||||
\(335\) | −3.89942 | + | 6.75400i | −0.213048 | + | 0.369010i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.40398 | + | 16.2882i | 0.512267 | + | 0.887273i | 0.999899 | + | 0.0142235i | \(0.00452764\pi\) |
−0.487631 | + | 0.873050i | \(0.662139\pi\) | |||||||
\(338\) | −27.0538 | − | 46.8586i | −1.47154 | − | 2.54877i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.402706 | + | 0.697507i | −0.0218398 | + | 0.0378276i | ||||
\(341\) | 4.33416 | 0.234708 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.4416 | −0.941760 | ||||||||
\(344\) | 11.7160 | − | 20.2927i | 0.631684 | − | 1.09411i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.95768 | − | 17.2472i | −0.535328 | − | 0.927215i | ||||
\(347\) | 8.80881 | + | 15.2573i | 0.472882 | + | 0.819056i | 0.999518 | − | 0.0310351i | \(-0.00988038\pi\) |
−0.526636 | + | 0.850091i | \(0.676547\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.49465 | − | 14.7132i | 0.454708 | − | 0.787577i | −0.543963 | − | 0.839109i | \(-0.683077\pi\) |
0.998671 | + | 0.0515316i | \(0.0164103\pi\) | |||||||
\(350\) | −9.57475 | −0.511792 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −11.2962 | −0.602090 | ||||||||
\(353\) | 7.57780 | − | 13.1251i | 0.403326 | − | 0.698580i | −0.590799 | − | 0.806818i | \(-0.701188\pi\) |
0.994125 | + | 0.108238i | \(0.0345209\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.71974 | − | 8.17483i | −0.250498 | − | 0.433875i | ||||
\(356\) | 1.11647 | + | 1.93379i | 0.0591729 | + | 0.102491i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.233524 | + | 0.404475i | −0.0123421 | + | 0.0213772i | ||||
\(359\) | 2.45096 | 0.129357 | 0.0646783 | − | 0.997906i | \(-0.479398\pi\) | ||||
0.0646783 | + | 0.997906i | \(0.479398\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.7892 | −0.620485 | ||||||||
\(362\) | −1.12106 | + | 1.94174i | −0.0589218 | + | 0.102055i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −4.69506 | − | 8.13208i | −0.246088 | − | 0.426237i | ||||
\(365\) | −3.82821 | − | 6.63065i | −0.200378 | − | 0.347064i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.656767 | − | 1.13755i | 0.0342829 | − | 0.0593798i | −0.848375 | − | 0.529396i | \(-0.822419\pi\) |
0.882658 | + | 0.470016i | \(0.155752\pi\) | |||||||
\(368\) | 7.64850 | 0.398706 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.46628 | 0.180203 | ||||||||
\(371\) | 10.2039 | − | 17.6736i | 0.529758 | − | 0.917567i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.81309 | + | 8.33651i | 0.249212 | + | 0.431648i | 0.963307 | − | 0.268400i | \(-0.0864950\pi\) |
−0.714095 | + | 0.700048i | \(0.753162\pi\) | |||||||
\(374\) | 3.19933 | + | 5.54140i | 0.165433 | + | 0.286539i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −14.8800 | + | 25.7730i | −0.767379 | + | 1.32914i | ||||
\(377\) | 56.5753 | 2.91377 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.56311 | −0.439857 | −0.219929 | − | 0.975516i | \(-0.570582\pi\) | ||||
−0.219929 | + | 0.975516i | \(0.570582\pi\) | |||||||
\(380\) | 1.10735 | − | 1.91798i | 0.0568057 | − | 0.0983904i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −16.2766 | − | 28.1918i | −0.832782 | − | 1.44242i | ||||
\(383\) | −16.8173 | − | 29.1284i | −0.859324 | − | 1.48839i | −0.872574 | − | 0.488481i | \(-0.837551\pi\) |
0.0132498 | − | 0.999912i | \(-0.495782\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 9.68282 | − | 16.7711i | 0.493482 | − | 0.854736i | ||||
\(386\) | −33.0769 | −1.68357 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.21363 | 0.213915 | ||||||||
\(389\) | 7.47699 | − | 12.9505i | 0.379098 | − | 0.656618i | −0.611833 | − | 0.790987i | \(-0.709567\pi\) |
0.990931 | + | 0.134369i | \(0.0429008\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.787671 | − | 1.36429i | −0.0398343 | − | 0.0689950i | ||||
\(392\) | 0.862496 | + | 1.49389i | 0.0435626 | + | 0.0754527i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 7.57335 | − | 13.1174i | 0.381540 | − | 0.660846i | ||||
\(395\) | −7.81648 | −0.393290 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −16.7788 | −0.842102 | −0.421051 | − | 0.907037i | \(-0.638339\pi\) | ||||
−0.421051 | + | 0.907037i | \(0.638339\pi\) | |||||||
\(398\) | 8.43788 | − | 14.6148i | 0.422953 | − | 0.732576i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.17419 | − | 8.96197i | −0.258710 | − | 0.448098i | ||||
\(401\) | −6.56315 | − | 11.3677i | −0.327748 | − | 0.567676i | 0.654317 | − | 0.756221i | \(-0.272956\pi\) |
−0.982065 | + | 0.188545i | \(0.939623\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.58953 | + | 6.21725i | −0.178807 | + | 0.309704i | ||||
\(404\) | 3.83541 | 0.190819 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 36.0943 | 1.79133 | ||||||||
\(407\) | 2.71561 | − | 4.70358i | 0.134608 | − | 0.233148i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −12.7253 | − | 22.0408i | −0.629223 | − | 1.08985i | −0.987708 | − | 0.156311i | \(-0.950040\pi\) |
0.358485 | − | 0.933536i | \(-0.383294\pi\) | |||||||
\(410\) | 6.42228 | + | 11.1237i | 0.317174 | + | 0.549361i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.532179 | − | 0.921761i | 0.0262186 | − | 0.0454119i | ||||
\(413\) | −25.1577 | −1.23793 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 9.67558 | 0.474955 | ||||||||
\(416\) | 9.35547 | − | 16.2041i | 0.458689 | − | 0.794474i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −8.79742 | − | 15.2376i | −0.430296 | − | 0.745294i | ||||
\(419\) | 6.33503 | + | 10.9726i | 0.309486 | + | 0.536046i | 0.978250 | − | 0.207429i | \(-0.0665096\pi\) |
−0.668764 | + | 0.743475i | \(0.733176\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.83862 | − | 15.3089i | 0.430768 | − | 0.746112i | −0.566172 | − | 0.824287i | \(-0.691576\pi\) |
0.996940 | + | 0.0781752i | \(0.0249094\pi\) | |||||||
\(422\) | −23.7554 | −1.15639 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 17.4850 | 0.849146 | ||||||||
\(425\) | −1.06572 | + | 1.84587i | −0.0516948 | + | 0.0895381i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.78672 | + | 3.09469i | 0.0864654 | + | 0.149762i | ||||
\(428\) | 3.09187 | + | 5.35528i | 0.149451 | + | 0.258857i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 13.0352 | − | 22.5776i | 0.628612 | − | 1.08879i | ||||
\(431\) | 15.6974 | 0.756117 | 0.378059 | − | 0.925782i | \(-0.376592\pi\) | ||||
0.378059 | + | 0.925782i | \(0.376592\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.6258 | −0.606759 | −0.303380 | − | 0.952870i | \(-0.598115\pi\) | ||||
−0.303380 | + | 0.952870i | \(0.598115\pi\) | |||||||
\(434\) | −2.29008 | + | 3.96653i | −0.109927 | + | 0.190400i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 3.00073 | + | 5.19742i | 0.143709 | + | 0.248912i | ||||
\(437\) | 2.16591 | + | 3.75147i | 0.103610 | + | 0.179457i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −13.4685 | + | 23.3281i | −0.642814 | + | 1.11339i | 0.341987 | + | 0.939705i | \(0.388900\pi\) |
−0.984802 | + | 0.173683i | \(0.944433\pi\) | |||||||
\(440\) | 16.5922 | 0.791001 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.5987 | −0.504128 | ||||||||
\(443\) | −17.3639 | + | 30.0752i | −0.824986 | + | 1.42892i | 0.0769438 | + | 0.997035i | \(0.475484\pi\) |
−0.901930 | + | 0.431882i | \(0.857850\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.81392 | − | 6.60590i | −0.180797 | − | 0.313150i | ||||
\(446\) | 9.69780 | + | 16.7971i | 0.459204 | + | 0.795365i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −7.20870 | + | 12.4858i | −0.340579 | + | 0.589900i | ||||
\(449\) | −20.7461 | −0.979070 | −0.489535 | − | 0.871984i | \(-0.662834\pi\) | ||||
−0.489535 | + | 0.871984i | \(0.662834\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 20.1258 | 0.947688 | ||||||||
\(452\) | 0.110761 | − | 0.191843i | 0.00520974 | − | 0.00902354i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.96153 | − | 5.12952i | −0.138991 | − | 0.240740i | ||||
\(455\) | 16.0385 | + | 27.7796i | 0.751898 | + | 1.30233i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.60387 | − | 6.24208i | 0.168582 | − | 0.291992i | −0.769340 | − | 0.638840i | \(-0.779415\pi\) |
0.937921 | + | 0.346848i | \(0.112748\pi\) | |||||||
\(458\) | −29.3621 | −1.37200 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.33046 | 0.0620332 | ||||||||
\(461\) | −11.5634 | + | 20.0284i | −0.538562 | + | 0.932817i | 0.460420 | + | 0.887701i | \(0.347699\pi\) |
−0.998982 | + | 0.0451156i | \(0.985634\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.48792 | − | 4.30921i | −0.115623 | − | 0.200266i | 0.802405 | − | 0.596779i | \(-0.203553\pi\) |
−0.918029 | + | 0.396514i | \(0.870220\pi\) | |||||||
\(464\) | 19.5054 | + | 33.7843i | 0.905513 | + | 1.56840i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.430734 | + | 0.746053i | −0.0199534 | + | 0.0345602i | ||||
\(467\) | −12.4814 | −0.577569 | −0.288784 | − | 0.957394i | \(-0.593251\pi\) | ||||
−0.288784 | + | 0.957394i | \(0.593251\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −12.9134 | −0.596284 | ||||||||
\(470\) | −16.5555 | + | 28.6749i | −0.763647 | + | 1.32268i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −10.7774 | − | 18.6669i | −0.496068 | − | 0.859216i | ||||
\(473\) | −20.4245 | − | 35.3762i | −0.939119 | − | 1.62660i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.93047 | − | 5.07573i | 0.134459 | − | 0.232890i | ||||
\(476\) | −1.33361 | −0.0611257 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −31.7176 | −1.45073 | ||||||||
\(479\) | −14.2356 | + | 24.6568i | −0.650443 | + | 1.12660i | 0.332573 | + | 0.943078i | \(0.392083\pi\) |
−0.983016 | + | 0.183522i | \(0.941250\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.49812 | + | 7.79097i | 0.205097 | + | 0.355238i | ||||
\(482\) | −12.0679 | − | 20.9023i | −0.549679 | − | 0.952072i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.53124 | + | 2.65218i | −0.0696016 | + | 0.120554i | ||||
\(485\) | −14.3939 | −0.653595 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 29.6841 | 1.34511 | 0.672557 | − | 0.740045i | \(-0.265196\pi\) | ||||
0.672557 | + | 0.740045i | \(0.265196\pi\) | |||||||
\(488\) | −1.53083 | + | 2.65148i | −0.0692975 | + | 0.120027i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.959610 | + | 1.66209i | 0.0433508 | + | 0.0750857i | ||||
\(491\) | −6.20248 | − | 10.7430i | −0.279914 | − | 0.484825i | 0.691449 | − | 0.722425i | \(-0.256973\pi\) |
−0.971363 | + | 0.237600i | \(0.923639\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.01747 | − | 6.95846i | 0.180938 | − | 0.313394i | ||||
\(494\) | 29.1439 | 1.31125 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.95023 | −0.222272 | ||||||||
\(497\) | 7.81497 | − | 13.5359i | 0.350549 | − | 0.607169i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.13991 | + | 1.97438i | 0.0510294 | + | 0.0883856i | 0.890412 | − | 0.455156i | \(-0.150416\pi\) |
−0.839382 | + | 0.543541i | \(0.817083\pi\) | |||||||
\(500\) | −2.96193 | − | 5.13022i | −0.132462 | − | 0.229430i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.0673 | + | 17.4371i | −0.449326 | + | 0.778256i | ||||
\(503\) | 41.2812 | 1.84064 | 0.920320 | − | 0.391167i | \(-0.127929\pi\) | ||||
0.920320 | + | 0.391167i | \(0.127929\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −13.1019 | −0.583028 | ||||||||
\(506\) | 5.28499 | − | 9.15387i | 0.234947 | − | 0.406939i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.130473 | + | 0.225986i | 0.00578880 | + | 0.0100265i | ||||
\(509\) | −8.21208 | − | 14.2237i | −0.363994 | − | 0.630456i | 0.624620 | − | 0.780929i | \(-0.285254\pi\) |
−0.988614 | + | 0.150473i | \(0.951920\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.33877 | − | 10.9791i | 0.280411 | − | 0.485685i | ||||
\(512\) | −9.67844 | −0.427731 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −20.6845 | −0.912355 | ||||||||
\(515\) | −1.81795 | + | 3.14878i | −0.0801083 | + | 0.138752i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 25.9404 | + | 44.9300i | 1.14086 | + | 1.97602i | ||||
\(518\) | 2.86974 | + | 4.97054i | 0.126089 | + | 0.218393i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −13.7416 | + | 23.8011i | −0.602607 | + | 1.04375i | ||||
\(521\) | −9.29672 | −0.407297 | −0.203648 | − | 0.979044i | \(-0.565280\pi\) | ||||
−0.203648 | + | 0.979044i | \(0.565280\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −22.7471 | −0.994662 | −0.497331 | − | 0.867561i | \(-0.665686\pi\) | ||||
−0.497331 | + | 0.867561i | \(0.665686\pi\) | |||||||
\(524\) | −2.80469 | + | 4.85787i | −0.122524 | + | 0.212217i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.50861 | + | 13.0053i | 0.327391 | + | 0.567058i | ||||
\(527\) | 0.509794 | + | 0.882988i | 0.0222070 | + | 0.0384636i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.1988 | − | 17.6649i | 0.443428 | − | 0.768040i | ||||
\(530\) | 19.4537 | 0.845016 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.66710 | 0.158989 | ||||||||
\(533\) | −16.6681 | + | 28.8700i | −0.721976 | + | 1.25050i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −10.5620 | − | 18.2939i | −0.456634 | − | 0.790913i | ||||
\(536\) | −5.53199 | − | 9.58168i | −0.238945 | − | 0.413866i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −17.4735 | + | 30.2651i | −0.753338 | + | 1.30482i | ||||
\(539\) | 3.00718 | 0.129528 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.38959 | 0.102737 | 0.0513683 | − | 0.998680i | \(-0.483642\pi\) | ||||
0.0513683 | + | 0.998680i | \(0.483642\pi\) | |||||||
\(542\) | −22.0682 | + | 38.2233i | −0.947912 | + | 1.64183i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.32868 | − | 2.30135i | −0.0569669 | − | 0.0986695i | ||||
\(545\) | −10.2506 | − | 17.7546i | −0.439089 | − | 0.760525i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −14.8334 | + | 25.6922i | −0.634230 | + | 1.09852i | 0.352448 | + | 0.935832i | \(0.385349\pi\) |
−0.986678 | + | 0.162687i | \(0.947984\pi\) | |||||||
\(548\) | 2.07808 | 0.0887712 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −14.3011 | −0.609803 | ||||||||
\(551\) | −11.0471 | + | 19.1342i | −0.470623 | + | 0.815143i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.47128 | − | 11.2086i | −0.275187 | − | 0.476638i | ||||
\(554\) | 14.9030 | + | 25.8128i | 0.633169 | + | 1.09668i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.74069 | − | 4.74701i | 0.116231 | − | 0.201318i | ||||
\(557\) | 8.41413 | 0.356518 | 0.178259 | − | 0.983984i | \(-0.442954\pi\) | ||||
0.178259 | + | 0.983984i | \(0.442954\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 67.6619 | 2.86179 | ||||||||
\(560\) | −11.0592 | + | 19.1550i | −0.467335 | + | 0.809447i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 15.7854 | + | 27.3411i | 0.665868 | + | 1.15332i | ||||
\(563\) | 13.6133 | + | 23.5788i | 0.573730 | + | 0.993730i | 0.996178 | + | 0.0873428i | \(0.0278376\pi\) |
−0.422448 | + | 0.906387i | \(0.638829\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.378363 | + | 0.655345i | −0.0159179 | + | 0.0275706i | ||||
\(566\) | 26.4304 | 1.11095 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 13.3915 | 0.561894 | ||||||||
\(569\) | 10.9747 | − | 19.0087i | 0.460082 | − | 0.796885i | −0.538883 | − | 0.842381i | \(-0.681154\pi\) |
0.998965 | + | 0.0454960i | \(0.0144868\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 22.4267 | + | 38.8442i | 0.938530 | + | 1.62558i | 0.768216 | + | 0.640191i | \(0.221145\pi\) |
0.170314 | + | 0.985390i | \(0.445522\pi\) | |||||||
\(572\) | −7.01269 | − | 12.1463i | −0.293215 | − | 0.507863i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −10.6340 | + | 18.4187i | −0.443857 | + | 0.768782i | ||||
\(575\) | 3.52092 | 0.146833 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 12.0191 | 0.500361 | 0.250181 | − | 0.968199i | \(-0.419510\pi\) | ||||
0.250181 | + | 0.968199i | \(0.419510\pi\) | |||||||
\(578\) | 12.6638 | − | 21.9344i | 0.526745 | − | 0.912349i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.39298 | + | 5.87681i | 0.140886 | + | 0.244021i | ||||
\(581\) | 8.01043 | + | 13.8745i | 0.332329 | + | 0.575610i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 15.2408 | − | 26.3978i | 0.631209 | − | 1.09329i | ||||
\(584\) | 10.8619 | 0.449469 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 30.8925 | 1.27616 | ||||||||
\(587\) | 8.51493 | − | 14.7483i | 0.351449 | − | 0.608727i | −0.635055 | − | 0.772467i | \(-0.719022\pi\) |
0.986504 | + | 0.163740i | \(0.0523558\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.40181 | − | 2.42801i | −0.0577607 | − | 0.100045i | ||||
\(590\) | −11.9909 | − | 20.7688i | −0.493656 | − | 0.855037i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.10162 | + | 5.37216i | −0.127476 | + | 0.220794i | ||||
\(593\) | −14.9284 | −0.613037 | −0.306519 | − | 0.951865i | \(-0.599164\pi\) | ||||
−0.306519 | + | 0.951865i | \(0.599164\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.55566 | 0.186764 | ||||||||
\(596\) | 4.78528 | − | 8.28835i | 0.196013 | − | 0.339504i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 8.75401 | + | 15.1624i | 0.357978 | + | 0.620036i | ||||
\(599\) | −6.76740 | − | 11.7215i | −0.276508 | − | 0.478927i | 0.694006 | − | 0.719969i | \(-0.255844\pi\) |
−0.970515 | + | 0.241042i | \(0.922511\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 22.6586 | − | 39.2459i | 0.924265 | − | 1.60087i | 0.131525 | − | 0.991313i | \(-0.458013\pi\) |
0.792739 | − | 0.609561i | \(-0.208654\pi\) | |||||||
\(602\) | 43.1674 | 1.75937 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.610691 | −0.0248487 | ||||||||
\(605\) | 5.23077 | − | 9.05996i | 0.212661 | − | 0.368340i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.2184 | − | 21.1629i | −0.495929 | − | 0.858975i | 0.504060 | − | 0.863669i | \(-0.331839\pi\) |
−0.999989 | + | 0.00469404i | \(0.998506\pi\) | |||||||
\(608\) | 3.65357 | + | 6.32817i | 0.148172 | + | 0.256641i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.70320 | + | 2.95003i | −0.0689605 | + | 0.119443i | ||||
\(611\) | −85.9348 | −3.47655 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −25.1996 | −1.01780 | −0.508901 | − | 0.860825i | \(-0.669948\pi\) | ||||
−0.508901 | + | 0.860825i | \(0.669948\pi\) | |||||||
\(614\) | −11.7587 | + | 20.3666i | −0.474542 | + | 0.821931i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 13.7367 | + | 23.7927i | 0.553467 | + | 0.958634i | ||||
\(617\) | −2.02093 | − | 3.50034i | −0.0813594 | − | 0.140919i | 0.822475 | − | 0.568802i | \(-0.192593\pi\) |
−0.903834 | + | 0.427883i | \(0.859259\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 22.3850 | − | 38.7719i | 0.899729 | − | 1.55838i | 0.0718884 | − | 0.997413i | \(-0.477097\pi\) |
0.827841 | − | 0.560964i | \(-0.189569\pi\) | |||||||
\(620\) | −0.861097 | −0.0345825 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 7.24860 | 0.290642 | ||||||||
\(623\) | 6.31511 | − | 10.9381i | 0.253010 | − | 0.438225i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.66157 | + | 8.07408i | 0.186463 | + | 0.322963i | ||||
\(626\) | −9.36679 | − | 16.2238i | −0.374372 | − | 0.648432i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.868022 | − | 1.50346i | 0.0346378 | − | 0.0599945i | ||||
\(629\) | 1.27767 | 0.0509439 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 31.4116 | 1.25048 | 0.625238 | − | 0.780434i | \(-0.285002\pi\) | ||||
0.625238 | + | 0.780434i | \(0.285002\pi\) | |||||||
\(632\) | 5.54449 | − | 9.60334i | 0.220548 | − | 0.382000i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 11.4571 | + | 19.8443i | 0.455020 | + | 0.788118i | ||||
\(635\) | −0.445701 | − | 0.771978i | −0.0176871 | − | 0.0306350i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.49053 | + | 4.31373i | −0.0986784 | + | 0.170916i | ||||
\(638\) | 53.9116 | 2.13438 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −22.8785 | −0.904351 | ||||||||
\(641\) | −24.3203 | + | 42.1240i | −0.960594 | + | 1.66380i | −0.239581 | + | 0.970876i | \(0.577010\pi\) |
−0.721013 | + | 0.692922i | \(0.756323\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 14.0162 | + | 24.2767i | 0.552744 | + | 0.957381i | 0.998075 | + | 0.0620150i | \(0.0197527\pi\) |
−0.445331 | + | 0.895366i | \(0.646914\pi\) | |||||||
\(644\) | 1.10149 | + | 1.90784i | 0.0434050 | + | 0.0751796i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.06954 | − | 3.58455i | 0.0814251 | − | 0.141032i | ||||
\(647\) | −37.5519 | −1.47632 | −0.738159 | − | 0.674627i | \(-0.764304\pi\) | ||||
−0.738159 | + | 0.674627i | \(0.764304\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −37.5763 | −1.47500 | ||||||||
\(650\) | 11.8441 | − | 20.5147i | 0.464565 | − | 0.804651i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.91881 | − | 6.78758i | −0.153472 | − | 0.265822i | ||||
\(653\) | 2.55611 | + | 4.42731i | 0.100028 | + | 0.173254i | 0.911696 | − | 0.410865i | \(-0.134773\pi\) |
−0.811668 | + | 0.584119i | \(0.801440\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 9.58095 | − | 16.5947i | 0.374359 | − | 0.648408i | ||||
\(656\) | −22.9866 | −0.897474 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −54.8253 | −2.13731 | ||||||||
\(659\) | −17.5030 | + | 30.3160i | −0.681818 | + | 1.18094i | 0.292607 | + | 0.956233i | \(0.405477\pi\) |
−0.974425 | + | 0.224711i | \(0.927856\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.666731 | − | 1.15481i | −0.0259328 | − | 0.0449170i | 0.852768 | − | 0.522290i | \(-0.174922\pi\) |
−0.878701 | + | 0.477373i | \(0.841589\pi\) | |||||||
\(662\) | 6.39704 | + | 11.0800i | 0.248628 | + | 0.430636i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −6.86321 | + | 11.8874i | −0.266344 | + | 0.461322i | ||||
\(665\) | −12.5270 | −0.485776 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −13.2730 | −0.513931 | ||||||||
\(668\) | −3.55859 | + | 6.16365i | −0.137686 | + | 0.238479i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −6.15487 | − | 10.6605i | −0.237783 | − | 0.411853i | ||||
\(671\) | 2.66870 | + | 4.62232i | 0.103024 | + | 0.178443i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.78976 | − | 3.09996i | 0.0689904 | − | 0.119495i | −0.829467 | − | 0.558556i | \(-0.811356\pi\) |
0.898457 | + | 0.439061i | \(0.144689\pi\) | |||||||
\(674\) | −29.6866 | −1.14348 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 16.8438 | 0.647839 | ||||||||
\(677\) | 18.4694 | − | 31.9900i | 0.709839 | − | 1.22948i | −0.255078 | − | 0.966920i | \(-0.582101\pi\) |
0.964917 | − | 0.262556i | \(-0.0845654\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −11.9168 | − | 20.6405i | −0.457324 | − | 0.792109i | ||||
\(680\) | 1.95161 | + | 3.38028i | 0.0748407 | + | 0.129628i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3.42053 | + | 5.92453i | −0.130979 | + | 0.226862i | ||||
\(683\) | 38.0166 | 1.45466 | 0.727332 | − | 0.686286i | \(-0.240760\pi\) | ||||
0.727332 | + | 0.686286i | \(0.240760\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −7.09881 | −0.271232 | ||||||||
\(686\) | 13.7650 | − | 23.8416i | 0.525549 | − | 0.910278i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 23.3277 | + | 40.4047i | 0.889359 | + | 1.54041i | ||||
\(689\) | 25.2447 | + | 43.7251i | 0.961746 | + | 1.66579i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.275232 | + | 0.476716i | −0.0104703 | + | 0.0181351i | −0.871213 | − | 0.490905i | \(-0.836666\pi\) |
0.860743 | + | 0.509040i | \(0.170000\pi\) | |||||||
\(692\) | 6.19968 | 0.235677 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −27.8077 | −1.05557 | ||||||||
\(695\) | −9.36232 | + | 16.2160i | −0.355133 | + | 0.615108i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.36724 | + | 4.10019i | 0.0896657 | + | 0.155306i | ||||
\(698\) | 13.4080 | + | 23.2233i | 0.507500 | + | 0.879015i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.49032 | − | 2.58131i | 0.0563287 | − | 0.0975642i | ||||
\(701\) | 19.0242 | 0.718534 | 0.359267 | − | 0.933235i | \(-0.383027\pi\) | ||||
0.359267 | + | 0.933235i | \(0.383027\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.51328 | −0.132506 | ||||||||
\(704\) | −10.7671 | + | 18.6492i | −0.405802 | + | 0.702869i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 11.9608 | + | 20.7168i | 0.450152 | + | 0.779686i | ||||
\(707\) | −10.8471 | − | 18.7878i | −0.407948 | − | 0.706587i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.07839 | + | 10.5281i | −0.228279 | + | 0.395390i | −0.957298 | − | 0.289103i | \(-0.906643\pi\) |
0.729019 | + | 0.684493i | \(0.239976\pi\) | |||||||
\(710\) | 14.8993 | 0.559161 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 10.8214 | 0.405548 | ||||||||
\(713\) | 0.842130 | − | 1.45861i | 0.0315380 | − | 0.0546255i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 23.9557 | + | 41.4924i | 0.895891 | + | 1.55173i | ||||
\(716\) | −0.0726963 | − | 0.125914i | −0.00271679 | − | 0.00470562i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1.93430 | + | 3.35031i | −0.0721875 | + | 0.125032i | ||||
\(719\) | 9.77667 | 0.364608 | 0.182304 | − | 0.983242i | \(-0.441644\pi\) | ||||
0.182304 | + | 0.983242i | \(0.441644\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.02033 | −0.224209 | ||||||||
\(722\) | 9.30408 | − | 16.1151i | 0.346262 | − | 0.599743i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.348989 | − | 0.604466i | −0.0129701 | − | 0.0224648i | ||||
\(725\) | 8.97913 | + | 15.5523i | 0.333477 | + | 0.577598i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.16746 | + | 3.75416i | −0.0803868 | + | 0.139234i | −0.903416 | − | 0.428765i | \(-0.858949\pi\) |
0.823029 | + | 0.567999i | \(0.192282\pi\) | |||||||
\(728\) | −45.5067 | −1.68659 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 12.0849 | 0.447283 | ||||||||
\(731\) | 4.80474 | − | 8.32206i | 0.177710 | − | 0.307803i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −14.5968 | − | 25.2824i | −0.539146 | − | 0.933829i | −0.998950 | − | 0.0458082i | \(-0.985414\pi\) |
0.459804 | − | 0.888020i | \(-0.347920\pi\) | |||||||
\(734\) | 1.03664 | + | 1.79552i | 0.0382632 | + | 0.0662738i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.19486 | + | 3.80161i | −0.0809036 | + | 0.140129i | ||||
\(737\) | −19.2878 | −0.710476 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 41.5553 | 1.52864 | 0.764319 | − | 0.644838i | \(-0.223075\pi\) | ||||
0.764319 | + | 0.644838i | \(0.223075\pi\) | |||||||
\(740\) | −0.539529 | + | 0.934492i | −0.0198335 | + | 0.0343526i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 16.1058 | + | 27.8961i | 0.591263 | + | 1.02410i | ||||
\(743\) | −10.6887 | − | 18.5133i | −0.392130 | − | 0.679188i | 0.600601 | − | 0.799549i | \(-0.294928\pi\) |
−0.992730 | + | 0.120361i | \(0.961595\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −16.3467 | + | 28.3134i | −0.598898 | + | 1.03732i | ||||
\(746\) | −15.1940 | −0.556291 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.99191 | −0.0728316 | ||||||||
\(749\) | 17.4886 | − | 30.2911i | 0.639018 | − | 1.10681i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 19.9838 | + | 34.6130i | 0.729220 | + | 1.26305i | 0.957213 | + | 0.289383i | \(0.0934500\pi\) |
−0.227994 | + | 0.973663i | \(0.573217\pi\) | |||||||
\(752\) | −29.6276 | − | 51.3165i | −1.08041 | − | 1.87132i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −44.6493 | + | 77.3349i | −1.62603 | + | 2.81637i | ||||
\(755\) | 2.08615 | 0.0759228 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.68348 | 0.242915 | 0.121458 | − | 0.992597i | \(-0.461243\pi\) | ||||
0.121458 | + | 0.992597i | \(0.461243\pi\) | |||||||
\(758\) | 6.75803 | − | 11.7052i | 0.245463 | − | 0.425154i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.36646 | − | 9.29499i | −0.194662 | − | 0.337165i | ||||
\(761\) | −21.0125 | − | 36.3947i | −0.761703 | − | 1.31931i | −0.941972 | − | 0.335691i | \(-0.891030\pi\) |
0.180269 | − | 0.983617i | \(-0.442303\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 16.9731 | − | 29.3982i | 0.614467 | − | 1.06429i | ||||
\(764\) | 10.1338 | 0.366630 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 53.0890 | 1.91818 | ||||||||
\(767\) | 31.1206 | − | 53.9024i | 1.12370 | − | 1.94630i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1.20662 | − | 2.08992i | −0.0435117 | − | 0.0753644i | 0.843449 | − | 0.537209i | \(-0.180521\pi\) |
−0.886961 | + | 0.461844i | \(0.847188\pi\) | |||||||
\(770\) | 15.2834 | + | 26.4716i | 0.550776 | + | 0.953971i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 5.14845 | − | 8.91738i | 0.185297 | − | 0.320944i | ||||
\(773\) | 1.39780 | 0.0502754 | 0.0251377 | − | 0.999684i | \(-0.491998\pi\) | ||||
0.0251377 | + | 0.999684i | \(0.491998\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.27880 | −0.0818569 | ||||||||
\(776\) | 10.2101 | − | 17.6844i | 0.366522 | − | 0.634834i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 11.8017 | + | 20.4412i | 0.423112 | + | 0.732851i | ||||
\(779\) | −6.50937 | − | 11.2746i | −0.233222 | − | 0.403953i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 11.6727 | − | 20.2177i | 0.417682 | − | 0.723446i | ||||
\(782\) | 2.48653 | 0.0889181 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.43462 | −0.122665 | ||||||||
\(785\) | −2.96520 | + | 5.13588i | −0.105833 |