Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [810,2,Mod(109,810)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(810, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("810.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 810 = 2 \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 810.i (of order \(6\), 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: | \(6.46788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 30) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 109.2 | ||
Root | \(-0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 810.109 |
Dual form | 810.2.i.e.379.2 |
$q$-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 \(\left(\mathbb{Z}/810\mathbb{Z}\right)^\times\).
\(n\) | \(487\) | \(731\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 0.133975 | − | 2.23205i | 0.0599153 | − | 0.998203i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.73205 | + | 1.00000i | −0.654654 | + | 0.377964i | −0.790237 | − | 0.612801i | \(-0.790043\pi\) |
0.135583 | + | 0.990766i | \(0.456709\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.00000 | − | 2.00000i | −0.316228 | − | 0.632456i | ||||
\(11\) | −1.00000 | − | 1.73205i | −0.301511 | − | 0.522233i | 0.674967 | − | 0.737848i | \(-0.264158\pi\) |
−0.976478 | + | 0.215615i | \(0.930824\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.19615 | − | 3.00000i | −1.44115 | − | 0.832050i | −0.443227 | − | 0.896410i | \(-0.646166\pi\) |
−0.997927 | + | 0.0643593i | \(0.979500\pi\) | |||||||
\(14\) | −1.00000 | + | 1.73205i | −0.267261 | + | 0.462910i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | − | 2.00000i | − | 0.485071i | −0.970143 | − | 0.242536i | \(-0.922021\pi\) | ||
0.970143 | − | 0.242536i | \(-0.0779791\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(20\) | −1.86603 | − | 1.23205i | −0.417256 | − | 0.275495i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.73205 | − | 1.00000i | −0.369274 | − | 0.213201i | ||||
\(23\) | 3.46410 | + | 2.00000i | 0.722315 | + | 0.417029i | 0.815604 | − | 0.578610i | \(-0.196405\pi\) |
−0.0932891 | + | 0.995639i | \(0.529738\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.96410 | − | 0.598076i | −0.992820 | − | 0.119615i | ||||
\(26\) | −6.00000 | −1.17670 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.00000i | 0.377964i | ||||||||
\(29\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.00000 | − | 6.92820i | 0.718421 | − | 1.24434i | −0.243204 | − | 0.969975i | \(-0.578198\pi\) |
0.961625 | − | 0.274367i | \(-0.0884683\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.00000 | − | 1.73205i | −0.171499 | − | 0.297044i | ||||
\(35\) | 2.00000 | + | 4.00000i | 0.338062 | + | 0.676123i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 2.00000i | − | 0.328798i | −0.986394 | − | 0.164399i | \(-0.947432\pi\) | ||
0.986394 | − | 0.164399i | \(-0.0525685\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.23205 | − | 0.133975i | −0.352918 | − | 0.0211832i | ||||
\(41\) | −1.00000 | + | 1.73205i | −0.156174 | + | 0.270501i | −0.933486 | − | 0.358614i | \(-0.883249\pi\) |
0.777312 | + | 0.629115i | \(0.216583\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.46410 | + | 2.00000i | −0.528271 | + | 0.304997i | −0.740312 | − | 0.672264i | \(-0.765322\pi\) |
0.212041 | + | 0.977261i | \(0.431989\pi\) | |||||||
\(44\) | −2.00000 | −0.301511 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.00000 | 0.589768 | ||||||||
\(47\) | 6.92820 | − | 4.00000i | 1.01058 | − | 0.583460i | 0.0992202 | − | 0.995066i | \(-0.468365\pi\) |
0.911362 | + | 0.411606i | \(0.135032\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.50000 | + | 2.59808i | −0.214286 | + | 0.371154i | ||||
\(50\) | −4.59808 | + | 1.96410i | −0.650266 | + | 0.277766i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.19615 | + | 3.00000i | −0.720577 | + | 0.416025i | ||||
\(53\) | 6.00000i | 0.824163i | 0.911147 | + | 0.412082i | \(0.135198\pi\) | ||||
−0.911147 | + | 0.412082i | \(0.864802\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.00000 | + | 2.00000i | −0.539360 | + | 0.269680i | ||||
\(56\) | 1.00000 | + | 1.73205i | 0.133631 | + | 0.231455i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.00000 | − | 8.66025i | 0.650945 | − | 1.12747i | −0.331949 | − | 0.943297i | \(-0.607706\pi\) |
0.982894 | − | 0.184172i | \(-0.0589603\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.00000 | − | 1.73205i | −0.128037 | − | 0.221766i | 0.794879 | − | 0.606768i | \(-0.207534\pi\) |
−0.922916 | + | 0.385002i | \(0.874201\pi\) | |||||||
\(62\) | − | 8.00000i | − | 1.01600i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −7.39230 | + | 11.1962i | −0.916903 | + | 1.38871i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.92820 | − | 4.00000i | −0.846415 | − | 0.488678i | 0.0130248 | − | 0.999915i | \(-0.495854\pi\) |
−0.859440 | + | 0.511237i | \(0.829187\pi\) | |||||||
\(68\) | −1.73205 | − | 1.00000i | −0.210042 | − | 0.121268i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.73205 | + | 2.46410i | 0.446065 | + | 0.294516i | ||||
\(71\) | 12.0000 | 1.42414 | 0.712069 | − | 0.702109i | \(-0.247758\pi\) | ||||
0.712069 | + | 0.702109i | \(0.247758\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 4.00000i | − | 0.468165i | −0.972217 | − | 0.234082i | \(-0.924791\pi\) | ||
0.972217 | − | 0.234082i | \(-0.0752085\pi\) | |||||||
\(74\) | −1.00000 | − | 1.73205i | −0.116248 | − | 0.201347i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.46410 | + | 2.00000i | 0.394771 | + | 0.227921i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(80\) | −2.00000 | + | 1.00000i | −0.223607 | + | 0.111803i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.00000i | 0.220863i | ||||||||
\(83\) | −3.46410 | + | 2.00000i | −0.380235 | + | 0.219529i | −0.677920 | − | 0.735135i | \(-0.737119\pi\) |
0.297686 | + | 0.954664i | \(0.403785\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.46410 | − | 0.267949i | −0.484200 | − | 0.0290632i | ||||
\(86\) | −2.00000 | + | 3.46410i | −0.215666 | + | 0.373544i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.73205 | + | 1.00000i | −0.184637 | + | 0.106600i | ||||
\(89\) | 10.0000 | 1.06000 | 0.529999 | − | 0.847998i | \(-0.322192\pi\) | ||||
0.529999 | + | 0.847998i | \(0.322192\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 12.0000 | 1.25794 | ||||||||
\(92\) | 3.46410 | − | 2.00000i | 0.361158 | − | 0.208514i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.00000 | − | 6.92820i | 0.412568 | − | 0.714590i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.92820 | − | 4.00000i | 0.703452 | − | 0.406138i | −0.105180 | − | 0.994453i | \(-0.533542\pi\) |
0.808632 | + | 0.588315i | \(0.200208\pi\) | |||||||
\(98\) | 3.00000i | 0.303046i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.00000 | + | 4.00000i | −0.300000 | + | 0.400000i | ||||
\(101\) | 4.00000 | + | 6.92820i | 0.398015 | + | 0.689382i | 0.993481 | − | 0.113998i | \(-0.0363659\pi\) |
−0.595466 | + | 0.803380i | \(0.703033\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 12.1244 | + | 7.00000i | 1.19465 | + | 0.689730i | 0.959357 | − | 0.282194i | \(-0.0910623\pi\) |
0.235291 | + | 0.971925i | \(0.424396\pi\) | |||||||
\(104\) | −3.00000 | + | 5.19615i | −0.294174 | + | 0.509525i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.00000 | + | 5.19615i | 0.291386 | + | 0.504695i | ||||
\(107\) | − | 12.0000i | − | 1.16008i | −0.814587 | − | 0.580042i | \(-0.803036\pi\) | ||
0.814587 | − | 0.580042i | \(-0.196964\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −10.0000 | −0.957826 | −0.478913 | − | 0.877862i | \(-0.658969\pi\) | ||||
−0.478913 | + | 0.877862i | \(0.658969\pi\) | |||||||
\(110\) | −2.46410 | + | 3.73205i | −0.234943 | + | 0.355837i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.73205 | + | 1.00000i | 0.163663 | + | 0.0944911i | ||||
\(113\) | −5.19615 | − | 3.00000i | −0.488813 | − | 0.282216i | 0.235269 | − | 0.971930i | \(-0.424403\pi\) |
−0.724082 | + | 0.689714i | \(0.757736\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.92820 | − | 7.46410i | 0.459557 | − | 0.696031i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 10.0000i | − | 0.920575i | ||||||
\(119\) | 2.00000 | + | 3.46410i | 0.183340 | + | 0.317554i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.50000 | − | 6.06218i | 0.318182 | − | 0.551107i | ||||
\(122\) | −1.73205 | − | 1.00000i | −0.156813 | − | 0.0905357i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.00000 | − | 6.92820i | −0.359211 | − | 0.622171i | ||||
\(125\) | −2.00000 | + | 11.0000i | −0.178885 | + | 0.983870i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 2.00000i | − | 0.177471i | −0.996055 | − | 0.0887357i | \(-0.971717\pi\) | ||
0.996055 | − | 0.0887357i | \(-0.0282826\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.803848 | + | 13.3923i | −0.0705021 | + | 1.17458i | ||||
\(131\) | 9.00000 | − | 15.5885i | 0.786334 | − | 1.36197i | −0.141865 | − | 0.989886i | \(-0.545310\pi\) |
0.928199 | − | 0.372084i | \(-0.121357\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −8.00000 | −0.691095 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.00000 | −0.171499 | ||||||||
\(137\) | 15.5885 | − | 9.00000i | 1.33181 | − | 0.768922i | 0.346235 | − | 0.938148i | \(-0.387460\pi\) |
0.985577 | + | 0.169226i | \(0.0541268\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.0000 | + | 17.3205i | −0.848189 | + | 1.46911i | 0.0346338 | + | 0.999400i | \(0.488974\pi\) |
−0.882823 | + | 0.469706i | \(0.844360\pi\) | |||||||
\(140\) | 4.46410 | + | 0.267949i | 0.377285 | + | 0.0226458i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 10.3923 | − | 6.00000i | 0.872103 | − | 0.503509i | ||||
\(143\) | 12.0000i | 1.00349i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −2.00000 | − | 3.46410i | −0.165521 | − | 0.286691i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.73205 | − | 1.00000i | −0.142374 | − | 0.0821995i | ||||
\(149\) | −10.0000 | + | 17.3205i | −0.819232 | + | 1.41895i | 0.0870170 | + | 0.996207i | \(0.472267\pi\) |
−0.906249 | + | 0.422744i | \(0.861067\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.00000 | + | 6.92820i | 0.325515 | + | 0.563809i | 0.981617 | − | 0.190864i | \(-0.0611289\pi\) |
−0.656101 | + | 0.754673i | \(0.727796\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 4.00000 | 0.322329 | ||||||||
\(155\) | −14.9282 | − | 9.85641i | −1.19906 | − | 0.791686i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 19.0526 | + | 11.0000i | 1.52056 | + | 0.877896i | 0.999706 | + | 0.0242497i | \(0.00771967\pi\) |
0.520854 | + | 0.853646i | \(0.325614\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.23205 | + | 1.86603i | −0.0974022 | + | 0.147522i | ||||
\(161\) | −8.00000 | −0.630488 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 16.0000i | 1.25322i | 0.779334 | + | 0.626608i | \(0.215557\pi\) | ||||
−0.779334 | + | 0.626608i | \(0.784443\pi\) | |||||||
\(164\) | 1.00000 | + | 1.73205i | 0.0780869 | + | 0.135250i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.00000 | + | 3.46410i | −0.155230 | + | 0.268866i | ||||
\(167\) | 10.3923 | + | 6.00000i | 0.804181 | + | 0.464294i | 0.844931 | − | 0.534875i | \(-0.179641\pi\) |
−0.0407502 | + | 0.999169i | \(0.512975\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.5000 | + | 19.9186i | 0.884615 | + | 1.53220i | ||||
\(170\) | −4.00000 | + | 2.00000i | −0.306786 | + | 0.153393i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.00000i | 0.304997i | ||||||||
\(173\) | −12.1244 | + | 7.00000i | −0.921798 | + | 0.532200i | −0.884208 | − | 0.467093i | \(-0.845301\pi\) |
−0.0375896 | + | 0.999293i | \(0.511968\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 9.19615 | − | 3.92820i | 0.695164 | − | 0.296944i | ||||
\(176\) | −1.00000 | + | 1.73205i | −0.0753778 | + | 0.130558i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 8.66025 | − | 5.00000i | 0.649113 | − | 0.374766i | ||||
\(179\) | −10.0000 | −0.747435 | −0.373718 | − | 0.927543i | \(-0.621917\pi\) | ||||
−0.373718 | + | 0.927543i | \(0.621917\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.00000 | 0.148659 | 0.0743294 | − | 0.997234i | \(-0.476318\pi\) | ||||
0.0743294 | + | 0.997234i | \(0.476318\pi\) | |||||||
\(182\) | 10.3923 | − | 6.00000i | 0.770329 | − | 0.444750i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.00000 | − | 3.46410i | 0.147442 | − | 0.255377i | ||||
\(185\) | −4.46410 | − | 0.267949i | −0.328207 | − | 0.0197000i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.46410 | + | 2.00000i | −0.253320 | + | 0.146254i | ||||
\(188\) | − | 8.00000i | − | 0.583460i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.00000 | − | 10.3923i | −0.434145 | − | 0.751961i | 0.563081 | − | 0.826402i | \(-0.309616\pi\) |
−0.997225 | + | 0.0744412i | \(0.976283\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.46410 | + | 2.00000i | 0.249351 | + | 0.143963i | 0.619467 | − | 0.785022i | \(-0.287349\pi\) |
−0.370116 | + | 0.928986i | \(0.620682\pi\) | |||||||
\(194\) | 4.00000 | − | 6.92820i | 0.287183 | − | 0.497416i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.50000 | + | 2.59808i | 0.107143 | + | 0.185577i | ||||
\(197\) | − | 22.0000i | − | 1.56744i | −0.621117 | − | 0.783718i | \(-0.713321\pi\) | ||
0.621117 | − | 0.783718i | \(-0.286679\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(200\) | −0.598076 | + | 4.96410i | −0.0422904 | + | 0.351015i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.92820 | + | 4.00000i | 0.487467 | + | 0.281439i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.73205 | + | 2.46410i | 0.260658 | + | 0.172100i | ||||
\(206\) | 14.0000 | 0.975426 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 6.00000i | 0.416025i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.00000 | + | 10.3923i | −0.413057 | + | 0.715436i | −0.995222 | − | 0.0976347i | \(-0.968872\pi\) |
0.582165 | + | 0.813070i | \(0.302206\pi\) | |||||||
\(212\) | 5.19615 | + | 3.00000i | 0.356873 | + | 0.206041i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −6.00000 | − | 10.3923i | −0.410152 | − | 0.710403i | ||||
\(215\) | 4.00000 | + | 8.00000i | 0.272798 | + | 0.545595i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 16.0000i | 1.08615i | ||||||||
\(218\) | −8.66025 | + | 5.00000i | −0.586546 | + | 0.338643i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.267949 | + | 4.46410i | −0.0180651 | + | 0.300970i | ||||
\(221\) | −6.00000 | + | 10.3923i | −0.403604 | + | 0.699062i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 22.5167 | − | 13.0000i | 1.50783 | − | 0.870544i | 0.507869 | − | 0.861435i | \(-0.330434\pi\) |
0.999959 | − | 0.00910984i | \(-0.00289979\pi\) | |||||||
\(224\) | 2.00000 | 0.133631 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.00000 | −0.399114 | ||||||||
\(227\) | 24.2487 | − | 14.0000i | 1.60944 | − | 0.929213i | 0.619949 | − | 0.784642i | \(-0.287153\pi\) |
0.989494 | − | 0.144571i | \(-0.0461801\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.00000 | + | 8.66025i | −0.330409 | + | 0.572286i | −0.982592 | − | 0.185776i | \(-0.940520\pi\) |
0.652183 | + | 0.758062i | \(0.273853\pi\) | |||||||
\(230\) | 0.535898 | − | 8.92820i | 0.0353361 | − | 0.588708i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | − | 14.0000i | − | 0.917170i | −0.888650 | − | 0.458585i | \(-0.848356\pi\) | ||
0.888650 | − | 0.458585i | \(-0.151644\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.00000 | − | 16.0000i | −0.521862 | − | 1.04372i | ||||
\(236\) | −5.00000 | − | 8.66025i | −0.325472 | − | 0.563735i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.46410 | + | 2.00000i | 0.224544 | + | 0.129641i | ||||
\(239\) | 10.0000 | − | 17.3205i | 0.646846 | − | 1.12037i | −0.337026 | − | 0.941495i | \(-0.609421\pi\) |
0.983872 | − | 0.178875i | \(-0.0572458\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.0000 | − | 19.0526i | −0.708572 | − | 1.22728i | −0.965387 | − | 0.260822i | \(-0.916006\pi\) |
0.256814 | − | 0.966461i | \(-0.417327\pi\) | |||||||
\(242\) | − | 7.00000i | − | 0.449977i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.00000 | −0.128037 | ||||||||
\(245\) | 5.59808 | + | 3.69615i | 0.357648 | + | 0.236139i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −6.92820 | − | 4.00000i | −0.439941 | − | 0.254000i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.76795 | + | 10.5263i | 0.238306 | + | 0.665740i | ||||
\(251\) | −18.0000 | −1.13615 | −0.568075 | − | 0.822977i | \(-0.692312\pi\) | ||||
−0.568075 | + | 0.822977i | \(0.692312\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 8.00000i | − | 0.502956i | ||||||
\(254\) | −1.00000 | − | 1.73205i | −0.0627456 | − | 0.108679i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −15.5885 | − | 9.00000i | −0.972381 | − | 0.561405i | −0.0724199 | − | 0.997374i | \(-0.523072\pi\) |
−0.899961 | + | 0.435970i | \(0.856405\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.00000 | + | 3.46410i | 0.124274 | + | 0.215249i | ||||
\(260\) | 6.00000 | + | 12.0000i | 0.372104 | + | 0.744208i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | − | 18.0000i | − | 1.11204i | ||||||
\(263\) | −3.46410 | + | 2.00000i | −0.213606 | + | 0.123325i | −0.602986 | − | 0.797752i | \(-0.706023\pi\) |
0.389380 | + | 0.921077i | \(0.372689\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 13.3923 | + | 0.803848i | 0.822683 | + | 0.0493800i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −6.92820 | + | 4.00000i | −0.423207 | + | 0.244339i | ||||
\(269\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.00000 | −0.485965 | −0.242983 | − | 0.970031i | \(-0.578126\pi\) | ||||
−0.242983 | + | 0.970031i | \(0.578126\pi\) | |||||||
\(272\) | −1.73205 | + | 1.00000i | −0.105021 | + | 0.0606339i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9.00000 | − | 15.5885i | 0.543710 | − | 0.941733i | ||||
\(275\) | 3.92820 | + | 9.19615i | 0.236880 | + | 0.554549i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.73205 | + | 1.00000i | −0.104069 | + | 0.0600842i | −0.551131 | − | 0.834419i | \(-0.685804\pi\) |
0.447062 | + | 0.894503i | \(0.352470\pi\) | |||||||
\(278\) | 20.0000i | 1.19952i | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.00000 | − | 2.00000i | 0.239046 | − | 0.119523i | ||||
\(281\) | 9.00000 | + | 15.5885i | 0.536895 | + | 0.929929i | 0.999069 | + | 0.0431402i | \(0.0137362\pi\) |
−0.462174 | + | 0.886789i | \(0.652930\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.8564 | − | 8.00000i | −0.823678 | − | 0.475551i | 0.0280052 | − | 0.999608i | \(-0.491084\pi\) |
−0.851683 | + | 0.524057i | \(0.824418\pi\) | |||||||
\(284\) | 6.00000 | − | 10.3923i | 0.356034 | − | 0.616670i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 6.00000 | + | 10.3923i | 0.354787 | + | 0.614510i | ||||
\(287\) | − | 4.00000i | − | 0.236113i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.0000 | 0.764706 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.46410 | − | 2.00000i | −0.202721 | − | 0.117041i | ||||
\(293\) | −5.19615 | − | 3.00000i | −0.303562 | − | 0.175262i | 0.340480 | − | 0.940252i | \(-0.389411\pi\) |
−0.644042 | + | 0.764990i | \(0.722744\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −18.6603 | − | 12.3205i | −1.08644 | − | 0.717328i | ||||
\(296\) | −2.00000 | −0.116248 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 20.0000i | 1.15857i | ||||||||
\(299\) | −12.0000 | − | 20.7846i | −0.693978 | − | 1.20201i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.00000 | − | 6.92820i | 0.230556 | − | 0.399335i | ||||
\(302\) | 6.92820 | + | 4.00000i | 0.398673 | + | 0.230174i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −4.00000 | + | 2.00000i | −0.229039 | + | 0.114520i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 12.0000i | − | 0.684876i | −0.939540 | − | 0.342438i | \(-0.888747\pi\) | ||
0.939540 | − | 0.342438i | \(-0.111253\pi\) | |||||||
\(308\) | 3.46410 | − | 2.00000i | 0.197386 | − | 0.113961i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −17.8564 | − | 1.07180i | −1.01418 | − | 0.0608740i | ||||
\(311\) | −6.00000 | + | 10.3923i | −0.340229 | + | 0.589294i | −0.984475 | − | 0.175525i | \(-0.943838\pi\) |
0.644246 | + | 0.764818i | \(0.277171\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.46410 | + | 2.00000i | −0.195803 | + | 0.113047i | −0.594696 | − | 0.803951i | \(-0.702728\pi\) |
0.398894 | + | 0.916997i | \(0.369394\pi\) | |||||||
\(314\) | 22.0000 | 1.24153 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1.73205 | + | 1.00000i | −0.0972817 | + | 0.0561656i | −0.547852 | − | 0.836576i | \(-0.684554\pi\) |
0.450570 | + | 0.892741i | \(0.351221\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −0.133975 | + | 2.23205i | −0.00748941 | + | 0.124775i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −6.92820 | + | 4.00000i | −0.386094 | + | 0.222911i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 24.0000 | + | 18.0000i | 1.33128 | + | 0.998460i | ||||
\(326\) | 8.00000 | + | 13.8564i | 0.443079 | + | 0.767435i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.73205 | + | 1.00000i | 0.0956365 | + | 0.0552158i | ||||
\(329\) | −8.00000 | + | 13.8564i | −0.441054 | + | 0.763928i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.00000 | + | 6.92820i | 0.219860 | + | 0.380808i | 0.954765 | − | 0.297361i | \(-0.0961066\pi\) |
−0.734905 | + | 0.678170i | \(0.762773\pi\) | |||||||
\(332\) | 4.00000i | 0.219529i | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 12.0000 | 0.656611 | ||||||||
\(335\) | −9.85641 | + | 14.9282i | −0.538513 | + | 0.815615i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −24.2487 | − | 14.0000i | −1.32091 | − | 0.762629i | −0.337037 | − | 0.941491i | \(-0.609425\pi\) |
−0.983874 | + | 0.178863i | \(0.942758\pi\) | |||||||
\(338\) | 19.9186 | + | 11.5000i | 1.08343 | + | 0.625518i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.46410 | + | 3.73205i | −0.133635 | + | 0.202399i | ||||
\(341\) | −16.0000 | −0.866449 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 20.0000i | − | 1.07990i | ||||||
\(344\) | 2.00000 | + | 3.46410i | 0.107833 | + | 0.186772i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.00000 | + | 12.1244i | −0.376322 | + | 0.651809i | ||||
\(347\) | 10.3923 | + | 6.00000i | 0.557888 | + | 0.322097i | 0.752297 | − | 0.658824i | \(-0.228946\pi\) |
−0.194409 | + | 0.980921i | \(0.562279\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.00000 | + | 8.66025i | 0.267644 | + | 0.463573i | 0.968253 | − | 0.249973i | \(-0.0804216\pi\) |
−0.700609 | + | 0.713545i | \(0.747088\pi\) | |||||||
\(350\) | 6.00000 | − | 8.00000i | 0.320713 | − | 0.427618i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.00000i | 0.106600i | ||||||||
\(353\) | −12.1244 | + | 7.00000i | −0.645314 | + | 0.372572i | −0.786659 | − | 0.617388i | \(-0.788191\pi\) |
0.141344 | + | 0.989960i | \(0.454858\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.60770 | − | 26.7846i | 0.0853276 | − | 1.42158i | ||||
\(356\) | 5.00000 | − | 8.66025i | 0.264999 | − | 0.458993i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −8.66025 | + | 5.00000i | −0.457709 | + | 0.264258i | ||||
\(359\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −19.0000 | −1.00000 | ||||||||
\(362\) | 1.73205 | − | 1.00000i | 0.0910346 | − | 0.0525588i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 6.00000 | − | 10.3923i | 0.314485 | − | 0.544705i | ||||
\(365\) | −8.92820 | − | 0.535898i | −0.467324 | − | 0.0280502i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.73205 | + | 1.00000i | −0.0904123 | + | 0.0521996i | −0.544524 | − | 0.838745i | \(-0.683290\pi\) |
0.454112 | + | 0.890945i | \(0.349957\pi\) | |||||||
\(368\) | − | 4.00000i | − | 0.208514i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.00000 | + | 2.00000i | −0.207950 | + | 0.103975i | ||||
\(371\) | −6.00000 | − | 10.3923i | −0.311504 | − | 0.539542i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.19615 | − | 3.00000i | −0.269047 | − | 0.155334i | 0.359408 | − | 0.933181i | \(-0.382979\pi\) |
−0.628454 | + | 0.777847i | \(0.716312\pi\) | |||||||
\(374\) | −2.00000 | + | 3.46410i | −0.103418 | + | 0.179124i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.00000 | − | 6.92820i | −0.206284 | − | 0.357295i | ||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.0000 | −1.02733 | −0.513665 | − | 0.857991i | \(-0.671713\pi\) | ||||
−0.513665 | + | 0.857991i | \(0.671713\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.3923 | − | 6.00000i | −0.531717 | − | 0.306987i | ||||
\(383\) | −13.8564 | − | 8.00000i | −0.708029 | − | 0.408781i | 0.102302 | − | 0.994753i | \(-0.467379\pi\) |
−0.810331 | + | 0.585973i | \(0.800713\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.92820 | − | 7.46410i | 0.251164 | − | 0.380406i | ||||
\(386\) | 4.00000 | 0.203595 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | − | 8.00000i | − | 0.406138i | ||||||
\(389\) | 10.0000 | + | 17.3205i | 0.507020 | + | 0.878185i | 0.999967 | + | 0.00812520i | \(0.00258636\pi\) |
−0.492947 | + | 0.870059i | \(0.664080\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.00000 | − | 6.92820i | 0.202289 | − | 0.350374i | ||||
\(392\) | 2.59808 | + | 1.50000i | 0.131223 | + | 0.0757614i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −11.0000 | − | 19.0526i | −0.554172 | − | 0.959854i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 2.00000i | − | 0.100377i | −0.998740 | − | 0.0501886i | \(-0.984018\pi\) | ||
0.998740 | − | 0.0501886i | \(-0.0159822\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.96410 | + | 4.59808i | 0.0982051 | + | 0.229904i | ||||
\(401\) | −11.0000 | + | 19.0526i | −0.549314 | + | 0.951439i | 0.449008 | + | 0.893528i | \(0.351777\pi\) |
−0.998322 | + | 0.0579116i | \(0.981556\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −41.5692 | + | 24.0000i | −2.07071 | + | 1.19553i | ||||
\(404\) | 8.00000 | 0.398015 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.46410 | + | 2.00000i | −0.171709 | + | 0.0991363i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.00000 | + | 8.66025i | −0.247234 | + | 0.428222i | −0.962757 | − | 0.270367i | \(-0.912855\pi\) |
0.715523 | + | 0.698589i | \(0.246188\pi\) | |||||||
\(410\) | 4.46410 | + | 0.267949i | 0.220466 | + | 0.0132331i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 12.1244 | − | 7.00000i | 0.597324 | − | 0.344865i | ||||
\(413\) | 20.0000i | 0.984136i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.00000 | + | 8.00000i | 0.196352 | + | 0.392705i | ||||
\(416\) | 3.00000 | + | 5.19615i | 0.147087 | + | 0.254762i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −5.00000 | + | 8.66025i | −0.244266 | + | 0.423081i | −0.961925 | − | 0.273314i | \(-0.911880\pi\) |
0.717659 | + | 0.696395i | \(0.245214\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11.0000 | − | 19.0526i | −0.536107 | − | 0.928565i | −0.999109 | − | 0.0422075i | \(-0.986561\pi\) |
0.463002 | − | 0.886357i | \(-0.346772\pi\) | |||||||
\(422\) | 12.0000i | 0.584151i | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 6.00000 | 0.291386 | ||||||||
\(425\) | −1.19615 | + | 9.92820i | −0.0580219 | + | 0.481589i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.46410 | + | 2.00000i | 0.167640 | + | 0.0967868i | ||||
\(428\) | −10.3923 | − | 6.00000i | −0.502331 | − | 0.290021i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 7.46410 | + | 4.92820i | 0.359951 | + | 0.237659i | ||||
\(431\) | 32.0000 | 1.54139 | 0.770693 | − | 0.637207i | \(-0.219910\pi\) | ||||
0.770693 | + | 0.637207i | \(0.219910\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 4.00000i | − | 0.192228i | −0.995370 | − | 0.0961139i | \(-0.969359\pi\) | ||
0.995370 | − | 0.0961139i | \(-0.0306413\pi\) | |||||||
\(434\) | 8.00000 | + | 13.8564i | 0.384012 | + | 0.665129i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.00000 | + | 8.66025i | −0.239457 | + | 0.414751i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(440\) | 2.00000 | + | 4.00000i | 0.0953463 | + | 0.190693i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 12.0000i | 0.570782i | ||||||||
\(443\) | 31.1769 | − | 18.0000i | 1.48126 | − | 0.855206i | 0.481486 | − | 0.876454i | \(-0.340097\pi\) |
0.999774 | + | 0.0212481i | \(0.00676401\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.33975 | − | 22.3205i | 0.0635100 | − | 1.05809i | ||||
\(446\) | 13.0000 | − | 22.5167i | 0.615568 | − | 1.06619i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.73205 | − | 1.00000i | 0.0818317 | − | 0.0472456i | ||||
\(449\) | −30.0000 | −1.41579 | −0.707894 | − | 0.706319i | \(-0.750354\pi\) | ||||
−0.707894 | + | 0.706319i | \(0.750354\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.00000 | 0.188353 | ||||||||
\(452\) | −5.19615 | + | 3.00000i | −0.244406 | + | 0.141108i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 14.0000 | − | 24.2487i | 0.657053 | − | 1.13805i | ||||
\(455\) | 1.60770 | − | 26.7846i | 0.0753699 | − | 1.25568i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −27.7128 | + | 16.0000i | −1.29635 | + | 0.748448i | −0.979772 | − | 0.200118i | \(-0.935868\pi\) |
−0.316579 | + | 0.948566i | \(0.602534\pi\) | |||||||
\(458\) | 10.0000i | 0.467269i | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −4.00000 | − | 8.00000i | −0.186501 | − | 0.373002i | ||||
\(461\) | −6.00000 | − | 10.3923i | −0.279448 | − | 0.484018i | 0.691800 | − | 0.722089i | \(-0.256818\pi\) |
−0.971248 | + | 0.238071i | \(0.923485\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.19615 | − | 3.00000i | −0.241486 | − | 0.139422i | 0.374374 | − | 0.927278i | \(-0.377858\pi\) |
−0.615859 | + | 0.787856i | \(0.711191\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −7.00000 | − | 12.1244i | −0.324269 | − | 0.561650i | ||||
\(467\) | − | 12.0000i | − | 0.555294i | −0.960683 | − | 0.277647i | \(-0.910445\pi\) | ||
0.960683 | − | 0.277647i | \(-0.0895545\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 16.0000 | 0.738811 | ||||||||
\(470\) | −14.9282 | − | 9.85641i | −0.688587 | − | 0.454642i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −8.66025 | − | 5.00000i | −0.398621 | − | 0.230144i | ||||
\(473\) | 6.92820 | + | 4.00000i | 0.318559 | + | 0.183920i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 4.00000 | 0.183340 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | − | 20.0000i | − | 0.914779i | ||||||
\(479\) | 10.0000 | + | 17.3205i | 0.456912 | + | 0.791394i | 0.998796 | − | 0.0490589i | \(-0.0156222\pi\) |
−0.541884 | + | 0.840453i | \(0.682289\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.00000 | + | 10.3923i | −0.273576 | + | 0.473848i | ||||
\(482\) | −19.0526 | − | 11.0000i | −0.867820 | − | 0.501036i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.50000 | − | 6.06218i | −0.159091 | − | 0.275554i | ||||
\(485\) | −8.00000 | − | 16.0000i | −0.363261 | − | 0.726523i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 18.0000i | 0.815658i | 0.913058 | + | 0.407829i | \(0.133714\pi\) | ||||
−0.913058 | + | 0.407829i | \(0.866286\pi\) | |||||||
\(488\) | −1.73205 | + | 1.00000i | −0.0784063 | + | 0.0452679i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 6.69615 | + | 0.401924i | 0.302501 | + | 0.0181571i | ||||
\(491\) | 9.00000 | − | 15.5885i | 0.406164 | − | 0.703497i | −0.588292 | − | 0.808649i | \(-0.700199\pi\) |
0.994456 | + | 0.105151i | \(0.0335327\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −8.00000 | −0.359211 | ||||||||
\(497\) | −20.7846 | + | 12.0000i | −0.932317 | + | 0.538274i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(500\) | 8.52628 | + | 7.23205i | 0.381307 | + | 0.323427i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −15.5885 | + | 9.00000i | −0.695747 | + | 0.401690i | ||||
\(503\) | − | 24.0000i | − | 1.07011i | −0.844818 | − | 0.535054i | \(-0.820291\pi\) | ||
0.844818 | − | 0.535054i | \(-0.179709\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 16.0000 | − | 8.00000i | 0.711991 | − | 0.355995i | ||||
\(506\) | −4.00000 | − | 6.92820i | −0.177822 | − | 0.307996i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.73205 | − | 1.00000i | −0.0768473 | − | 0.0443678i | ||||
\(509\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.00000 | + | 6.92820i | 0.176950 | + | 0.306486i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −18.0000 | −0.793946 | ||||||||
\(515\) | 17.2487 | − | 26.1244i | 0.760069 | − | 1.15118i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −13.8564 | − | 8.00000i | −0.609404 | − | 0.351840i | ||||
\(518\) | 3.46410 | + | 2.00000i | 0.152204 | + | 0.0878750i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 11.1962 | + | 7.39230i | 0.490984 | + | 0.324174i | ||||
\(521\) | 22.0000 | 0.963837 | 0.481919 | − | 0.876216i | \(-0.339940\pi\) | ||||
0.481919 | + | 0.876216i | \(0.339940\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.0000i | 0.699631i | 0.936819 | + | 0.349816i | \(0.113756\pi\) | ||||
−0.936819 | + | 0.349816i | \(0.886244\pi\) | |||||||
\(524\) | −9.00000 | − | 15.5885i | −0.393167 | − | 0.680985i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.00000 | + | 3.46410i | −0.0872041 | + | 0.151042i | ||||
\(527\) | −13.8564 | − | 8.00000i | −0.603595 | − | 0.348485i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.50000 | − | 6.06218i | −0.152174 | − | 0.263573i | ||||
\(530\) | 12.0000 | − | 6.00000i | 0.521247 | − | 0.260623i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 10.3923 | − | 6.00000i | 0.450141 | − | 0.259889i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −26.7846 | − | 1.60770i | −1.15800 | − | 0.0695067i | ||||
\(536\) | −4.00000 | + | 6.92820i | −0.172774 | + | 0.299253i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 6.00000 | 0.258438 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −38.0000 | −1.63375 | −0.816874 | − | 0.576816i | \(-0.804295\pi\) | ||||
−0.816874 | + | 0.576816i | \(0.804295\pi\) | |||||||
\(542\) | −6.92820 | + | 4.00000i | −0.297592 | + | 0.171815i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.00000 | + | 1.73205i | −0.0428746 | + | 0.0742611i | ||||
\(545\) | −1.33975 | + | 22.3205i | −0.0573884 | + | 0.956106i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 24.2487 | − | 14.0000i | 1.03680 | − | 0.598597i | 0.117875 | − | 0.993028i | \(-0.462392\pi\) |
0.918925 | + | 0.394432i | \(0.129059\pi\) | |||||||
\(548\) | − | 18.0000i | − | 0.768922i | ||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 8.00000 | + | 6.00000i | 0.341121 | + | 0.255841i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −1.00000 | + | 1.73205i | −0.0424859 | + | 0.0735878i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.0000 | + | 17.3205i | 0.424094 | + | 0.734553i | ||||
\(557\) | 18.0000i | 0.762684i | 0.924434 | + | 0.381342i | \(0.124538\pi\) | ||||
−0.924434 | + | 0.381342i | \(0.875462\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 24.0000 | 1.01509 | ||||||||
\(560\) | 2.46410 | − | 3.73205i | 0.104127 | − | 0.157708i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 15.5885 | + | 9.00000i | 0.657559 | + | 0.379642i | ||||
\(563\) | 38.1051 | + | 22.0000i | 1.60594 | + | 0.927189i | 0.990266 | + | 0.139188i | \(0.0444492\pi\) |
0.615673 | + | 0.788002i | \(0.288884\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.39230 | + | 11.1962i | −0.310997 | + | 0.471026i | ||||
\(566\) | −16.0000 | −0.672530 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 12.0000i | − | 0.503509i | ||||||
\(569\) | −5.00000 | − | 8.66025i | −0.209611 | − | 0.363057i | 0.741981 | − | 0.670421i | \(-0.233886\pi\) |
−0.951592 | + | 0.307364i | \(0.900553\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.00000 | − | 6.92820i | 0.167395 | − | 0.289936i | −0.770108 | − | 0.637913i | \(-0.779798\pi\) |
0.937503 | + | 0.347977i | \(0.113131\pi\) | |||||||
\(572\) | 10.3923 | + | 6.00000i | 0.434524 | + | 0.250873i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.00000 | − | 3.46410i | −0.0834784 | − | 0.144589i | ||||
\(575\) | −16.0000 | − | 12.0000i | −0.667246 | − | 0.500435i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 32.0000i | − | 1.33218i | −0.745873 | − | 0.666089i | \(-0.767967\pi\) | ||
0.745873 | − | 0.666089i | \(-0.232033\pi\) | |||||||
\(578\) | 11.2583 | − | 6.50000i | 0.468285 | − | 0.270364i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 4.00000 | − | 6.92820i | 0.165948 | − | 0.287430i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 10.3923 | − | 6.00000i | 0.430405 | − | 0.248495i | ||||
\(584\) | −4.00000 | −0.165521 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.00000 | −0.247858 | ||||||||
\(587\) | −10.3923 | + | 6.00000i | −0.428936 | + | 0.247647i | −0.698893 | − | 0.715226i | \(-0.746324\pi\) |
0.269957 | + | 0.962872i | \(0.412990\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −22.3205 | − | 1.33975i | −0.918921 | − | 0.0551565i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.73205 | + | 1.00000i | −0.0711868 | + | 0.0410997i | ||||
\(593\) | 6.00000i | 0.246390i | 0.992382 | + | 0.123195i | \(0.0393141\pi\) | ||||
−0.992382 | + | 0.123195i | \(0.960686\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.00000 | − | 4.00000i | 0.327968 | − | 0.163984i | ||||
\(596\) | 10.0000 | + | 17.3205i | 0.409616 | + | 0.709476i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −20.7846 | − | 12.0000i | −0.849946 | − | 0.490716i | ||||
\(599\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.00000 | − | 1.73205i | −0.0407909 | − | 0.0706518i | 0.844909 | − | 0.534910i | \(-0.179654\pi\) |
−0.885700 | + | 0.464258i | \(0.846321\pi\) | |||||||
\(602\) | − | 8.00000i | − | 0.326056i | ||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.00000 | 0.325515 | ||||||||
\(605\) | −13.0622 | − | 8.62436i | −0.531053 | − | 0.350630i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 19.0526 | + | 11.0000i | 0.773320 | + | 0.446476i | 0.834058 | − | 0.551678i | \(-0.186012\pi\) |
−0.0607380 | + | 0.998154i | \(0.519345\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.46410 | + | 3.73205i | −0.0997686 | + | 0.151106i | ||||
\(611\) | −48.0000 | −1.94187 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 26.0000i | 1.05013i | 0.851062 | + | 0.525065i | \(0.175959\pi\) | ||||
−0.851062 | + | 0.525065i | \(0.824041\pi\) | |||||||
\(614\) | −6.00000 | − | 10.3923i | −0.242140 | − | 0.419399i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.00000 | − | 3.46410i | 0.0805823 | − | 0.139573i | ||||
\(617\) | 1.73205 | + | 1.00000i | 0.0697297 | + | 0.0402585i | 0.534460 | − | 0.845194i | \(-0.320515\pi\) |
−0.464730 | + | 0.885453i | \(0.653849\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.0000 | + | 17.3205i | 0.401934 | + | 0.696170i | 0.993959 | − | 0.109749i | \(-0.0350048\pi\) |
−0.592025 | + | 0.805919i | \(0.701671\pi\) | |||||||
\(620\) | −16.0000 | + | 8.00000i | −0.642575 | + | 0.321288i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 12.0000i | 0.481156i | ||||||||
\(623\) | −17.3205 | + | 10.0000i | −0.693932 | + | 0.400642i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.2846 | + | 5.93782i | 0.971384 | + | 0.237513i | ||||
\(626\) | −2.00000 | + | 3.46410i | −0.0799361 | + | 0.138453i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 19.0526 | − | 11.0000i | 0.760280 | − | 0.438948i | ||||
\(629\) | −4.00000 | −0.159490 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 32.0000 | 1.27390 | 0.636950 | − | 0.770905i | \(-0.280196\pi\) | ||||
0.636950 | + | 0.770905i | \(0.280196\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.00000 | + | 1.73205i | −0.0397151 | + | 0.0687885i | ||||
\(635\) | −4.46410 | − | 0.267949i | −0.177152 | − | 0.0106332i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 15.5885 | − | 9.00000i | 0.617637 | − | 0.356593i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.00000 | + | 2.00000i | 0.0395285 | + | 0.0790569i | ||||
\(641\) | −1.00000 | − | 1.73205i | −0.0394976 | − | 0.0684119i | 0.845601 | − | 0.533816i | \(-0.179242\pi\) |
−0.885098 | + | 0.465404i | \(0.845909\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 20.7846 | + | 12.0000i | 0.819665 | + | 0.473234i | 0.850301 | − | 0.526297i | \(-0.176420\pi\) |
−0.0306359 | + | 0.999531i | \(0.509753\pi\) | |||||||
\(644\) | −4.00000 | + | 6.92820i | −0.157622 | + | 0.273009i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 48.0000i | 1.88707i | 0.331266 | + | 0.943537i | \(0.392524\pi\) | ||||
−0.331266 | + | 0.943537i | \(0.607476\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −20.0000 | −0.785069 | ||||||||
\(650\) | 29.7846 | + | 3.58846i | 1.16825 | + | 0.140751i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 13.8564 | + | 8.00000i | 0.542659 | + | 0.313304i | ||||
\(653\) | −22.5167 | − | 13.0000i | −0.881145 | − | 0.508729i | −0.0101092 | − | 0.999949i | \(-0.503218\pi\) |
−0.871036 | + | 0.491220i | \(0.836551\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −33.5885 | − | 22.1769i | −1.31241 | − | 0.866524i | ||||
\(656\) | 2.00000 | 0.0780869 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 16.0000i | 0.623745i | ||||||||
\(659\) | −25.0000 | − | 43.3013i | −0.973862 | − | 1.68678i | −0.683641 | − | 0.729818i | \(-0.739605\pi\) |
−0.290220 | − | 0.956960i | \(-0.593729\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.00000 | + | 1.73205i | −0.0388955 | + | 0.0673690i | −0.884818 | − | 0.465937i | \(-0.845717\pi\) |
0.845922 | + | 0.533306i | \(0.179051\pi\) | |||||||
\(662\) | 6.92820 | + | 4.00000i | 0.269272 | + | 0.155464i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.00000 | + | 3.46410i | 0.0776151 | + | 0.134433i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 10.3923 | − | 6.00000i | 0.402090 | − | 0.232147i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.07180 | + | 17.8564i | −0.0414071 | + | 0.689853i | ||||
\(671\) | −2.00000 | + | 3.46410i | −0.0772091 | + | 0.133730i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 31.1769 | − | 18.0000i | 1.20178 | − | 0.693849i | 0.240831 | − | 0.970567i | \(-0.422580\pi\) |
0.960951 | + | 0.276718i | \(0.0892468\pi\) | |||||||
\(674\) | −28.0000 | −1.07852 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 23.0000 | 0.884615 | ||||||||
\(677\) | −1.73205 | + | 1.00000i | −0.0665681 | + | 0.0384331i | −0.532915 | − | 0.846169i | \(-0.678903\pi\) |
0.466347 | + | 0.884602i | \(0.345570\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8.00000 | + | 13.8564i | −0.307012 | + | 0.531760i | ||||
\(680\) | −0.267949 | + | 4.46410i | −0.0102754 | + | 0.171190i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −13.8564 | + | 8.00000i | −0.530589 | + | 0.306336i | ||||
\(683\) | − | 4.00000i | − | 0.153056i | −0.997067 | − | 0.0765279i | \(-0.975617\pi\) | ||
0.997067 | − | 0.0765279i | \(-0.0243834\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −18.0000 | − | 36.0000i | −0.687745 | − | 1.37549i | ||||
\(686\) | −10.0000 | − | 17.3205i | −0.381802 | − | 0.661300i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.46410 | + | 2.00000i | 0.132068 | + | 0.0762493i | ||||
\(689\) | 18.0000 | − | 31.1769i | 0.685745 | − | 1.18775i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.00000 | + | 6.92820i | 0.152167 | + | 0.263561i | 0.932024 | − | 0.362397i | \(-0.118041\pi\) |
−0.779857 | + | 0.625958i | \(0.784708\pi\) | |||||||
\(692\) | 14.0000i | 0.532200i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 12.0000 | 0.455514 | ||||||||
\(695\) | 37.3205 | + | 24.6410i | 1.41565 | + | 0.934687i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.46410 | + | 2.00000i | 0.131212 | + | 0.0757554i | ||||
\(698\) | 8.66025 | + | 5.00000i | 0.327795 | + | 0.189253i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.19615 | − | 9.92820i | 0.0452103 | − | 0.375251i | ||||
\(701\) | 32.0000 | 1.20862 | 0.604312 | − | 0.796748i | \(-0.293448\pi\) | ||||
0.604312 | + | 0.796748i | \(0.293448\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 1.00000 | + | 1.73205i | 0.0376889 | + | 0.0652791i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −7.00000 | + | 12.1244i | −0.263448 | + | 0.456306i | ||||
\(707\) | −13.8564 | − | 8.00000i | −0.521124 | − | 0.300871i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 15.0000 | + | 25.9808i | 0.563337 | + | 0.975728i | 0.997202 | + | 0.0747503i | \(0.0238160\pi\) |
−0.433865 | + | 0.900978i | \(0.642851\pi\) | |||||||
\(710\) | −12.0000 | − | 24.0000i | −0.450352 | − | 0.900704i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | − | 10.0000i | − | 0.374766i | ||||||
\(713\) | 27.7128 | − | 16.0000i | 1.03785 | − | 0.599205i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 26.7846 | + | 1.60770i | 1.00169 | + | 0.0601244i | ||||
\(716\) | −5.00000 | + | 8.66025i | −0.186859 | + | 0.323649i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 40.0000 | 1.49175 | 0.745874 | − | 0.666087i | \(-0.232032\pi\) | ||||
0.745874 | + | 0.666087i | \(0.232032\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −28.0000 | −1.04277 | ||||||||
\(722\) | −16.4545 | + | 9.50000i | −0.612372 | + | 0.353553i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.00000 | − | 1.73205i | 0.0371647 | − | 0.0643712i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 15.5885 | − | 9.00000i | 0.578144 | − | 0.333792i | −0.182252 | − | 0.983252i | \(-0.558339\pi\) |
0.760395 | + | 0.649460i | \(0.225005\pi\) | |||||||
\(728\) | − | 12.0000i | − | 0.444750i | ||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −8.00000 | + | 4.00000i | −0.296093 | + | 0.148047i | ||||
\(731\) | 4.00000 | + | 6.92820i | 0.147945 | + | 0.256249i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 12.1244 | + | 7.00000i | 0.447823 | + | 0.258551i | 0.706910 | − | 0.707303i | \(-0.250088\pi\) |
−0.259087 | + | 0.965854i | \(0.583422\pi\) | |||||||
\(734\) | −1.00000 | + | 1.73205i | −0.0369107 | + | 0.0639312i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.00000 | − | 3.46410i | −0.0737210 | − | 0.127688i | ||||
\(737\) | 16.0000i | 0.589368i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −40.0000 | −1.47142 | −0.735712 | − | 0.677295i | \(-0.763152\pi\) | ||||
−0.735712 | + | 0.677295i | \(0.763152\pi\) | |||||||
\(740\) | −2.46410 | + | 3.73205i | −0.0905822 | + | 0.137193i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −10.3923 | − | 6.00000i | −0.381514 | − | 0.220267i | ||||
\(743\) | 20.7846 | + | 12.0000i | 0.762513 | + | 0.440237i | 0.830197 | − | 0.557470i | \(-0.188228\pi\) |
−0.0676840 | + | 0.997707i | \(0.521561\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 37.3205 | + | 24.6410i | 1.36732 | + | 0.902777i | ||||
\(746\) | −6.00000 | −0.219676 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 4.00000i | 0.146254i | ||||||||
\(749\) | 12.0000 | + | 20.7846i | 0.438470 | + | 0.759453i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.0000 | + | 27.7128i | −0.583848 | + | 1.01125i | 0.411170 | + | 0.911559i | \(0.365120\pi\) |
−0.995018 | + | 0.0996961i | \(0.968213\pi\) | |||||||
\(752\) | −6.92820 | − | 4.00000i | −0.252646 | − | 0.145865i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 16.0000 | − | 8.00000i | 0.582300 | − | 0.291150i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 2.00000i | − | 0.0726912i | −0.999339 | − | 0.0363456i | \(-0.988428\pi\) | ||
0.999339 | − | 0.0363456i | \(-0.0115717\pi\) | |||||||
\(758\) | −17.3205 | + | 10.0000i | −0.629109 | + | 0.363216i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.00000 | − | 15.5885i | 0.326250 | − | 0.565081i | −0.655515 | − | 0.755182i | \(-0.727548\pi\) |
0.981764 | + | 0.190101i | \(0.0608816\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 17.3205 | − | 10.0000i | 0.627044 | − | 0.362024i | ||||
\(764\) | −12.0000 | −0.434145 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −16.0000 | −0.578103 | ||||||||
\(767\) | −51.9615 | + | 30.0000i | −1.87622 | + | 1.08324i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −15.0000 | + | 25.9808i | −0.540914 | + | 0.936890i | 0.457938 | + | 0.888984i | \(0.348588\pi\) |
−0.998852 | + | 0.0479061i | \(0.984745\pi\) | |||||||
\(770\) | 0.535898 | − | 8.92820i | 0.0193124 | − | 0.321750i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 3.46410 | − | 2.00000i | 0.124676 | − | 0.0719816i | ||||
\(773\) | − | 54.0000i | − | 1.94225i | −0.238581 | − | 0.971123i | \(-0.576682\pi\) | ||
0.238581 | − | 0.971123i | \(-0.423318\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −24.0000 | + | 32.0000i | −0.862105 | + | 1.14947i | ||||
\(776\) | −4.00000 | − | 6.92820i | −0.143592 | − | 0.248708i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 17.3205 | + | 10.0000i | 0.620970 | + | 0.358517i | ||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −12.0000 | − | 20.7846i | −0.429394 | − | 0.743732i | ||||
\(782\) | − | 8.00000i | − | 0.286079i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.00000 | 0.107143 | ||||||||
\(785\) | 27.1051 | − | 41.0526i | 0.967423 | − | 1.46523i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 27.7128 | + | 16.0000i | 0.987855 | + | 0.570338i | 0.904632 | − | 0.426193i | \(-0.140145\pi\) |
0.0832226 | + | 0.996531i | \(0.473479\pi\) | |||||||
\(788\) | −19.0526 | − | 11.0000i | −0.678719 | − | 0.391859i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 12.0000 | 0.426671 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 12.0000i | 0.426132i | ||||||||
\(794\) | −1.00000 | − | 1.73205i | −0.0354887 | − | 0.0614682i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1.73205 | + | 1.00000i | 0.0613524 | + | 0.0354218i | 0.530362 | − | 0.847771i | \(-0.322056\pi\) |
−0.469010 | + | 0.883193i | \(0.655389\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −8.00000 | − | 13.8564i | −0.283020 | − | 0.490204i | ||||
\(800\) | 4.00000 | + | 3.00000i | 0.141421 | + | 0.106066i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 22.0000i | 0.776847i | ||||||||
\(803\) | −6.92820 | + | 4.00000i | −0.244491 | + | 0.141157i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.07180 | + | 17.8564i | −0.0377759 | + | 0.629356i | ||||
\(806\) | −24.0000 | + | 41.5692i | −0.845364 | + | 1.46421i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.92820 | − | 4.00000i | 0.243733 | − | 0.140720i | ||||
\(809\) | 30.0000 | 1.05474 | 0.527372 | − | 0.849635i | \(-0.323177\pi\) | ||||
0.527372 | + | 0.849635i | \(0.323177\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 52.0000 | 1.82597 | 0.912983 | − | 0.407997i | \(-0.133772\pi\) | ||||
0.912983 | + | 0.407997i | \(0.133772\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.00000 | + | 3.46410i | −0.0701000 | + | 0.121417i | ||||
\(815\) | 35.7128 | + | 2.14359i | 1.25097 | + | 0.0750868i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 10.0000i | 0.349642i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.00000 | − | 2.00000i | 0.139686 | − | 0.0698430i | ||||
\(821\) | 4.00000 | + | 6.92820i | 0.139601 | + | 0.241796i | 0.927346 | − | 0.374206i | \(-0.122085\pi\) |
−0.787745 | + | 0.616002i | \(0.788751\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.19615 | − | 3.00000i | −0.181126 | − | 0.104573i | 0.406695 | − | 0.913564i | \(-0.366681\pi\) |
−0.587822 | + | 0.808990i | \(0.700014\pi\) | |||||||
\(824\) | 7.00000 | − | 12.1244i | 0.243857 | − | 0.422372i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 10.0000 | + | 17.3205i | 0.347945 | + | 0.602658i | ||||
\(827\) | 28.0000i | 0.973655i | 0.873498 | + | 0.486828i | \(0.161846\pi\) | ||||
−0.873498 | + | 0.486828i | \(0.838154\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 30.0000 | 1.04194 | 0.520972 | − | 0.853574i | \(-0.325570\pi\) | ||||
0.520972 | + | 0.853574i | \(0.325570\pi\) | |||||||
\(830\) | 7.46410 | + | 4.92820i | 0.259083 | + | 0.171060i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 5.19615 | + | 3.00000i | 0.180144 | + | 0.104006i | ||||
\(833\) | 5.19615 | + | 3.00000i | 0.180036 | + | 0.103944i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 14.7846 | − | 22.3923i | 0.511643 | − | 0.774918i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 10.0000i | 0.345444i | ||||||||
\(839\) | 20.0000 | + | 34.6410i | 0.690477 | + | 1.19594i | 0.971682 | + | 0.236293i | \(0.0759325\pi\) |
−0.281205 | + | 0.959648i | \(0.590734\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.5000 | − | 25.1147i | 0.500000 | − | 0.866025i | ||||
\(842\) | −19.0526 | − | 11.0000i | −0.656595 | − | 0.379085i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 6.00000 | + | 10.3923i | 0.206529 | + | 0.357718i | ||||
\(845\) | 46.0000 | − | 23.0000i | 1.58245 | − | 0.791224i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 14.0000i | 0.481046i | ||||||||
\(848\) | 5.19615 | − | 3.00000i | 0.178437 | − | 0.103020i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 3.92820 | + | 9.19615i | 0.134736 | + | 0.315425i | ||||
\(851\) | 4.00000 | − | 6.92820i | 0.137118 | − | 0.237496i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −12.1244 | + | 7.00000i | −0.415130 | + | 0.239675i | −0.692992 | − | 0.720946i | \(-0.743708\pi\) |
0.277862 | + | 0.960621i | \(0.410374\pi\) | |||||||
\(854\) | 4.00000 | 0.136877 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −12.0000 | −0.410152 | ||||||||
\(857\) | −36.3731 | + | 21.0000i | −1.24248 | + | 0.717346i | −0.969599 | − | 0.244701i | \(-0.921310\pi\) |
−0.272882 | + | 0.962048i | \(0.587977\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 10.0000 | − | 17.3205i | 0.341196 | − | 0.590968i | −0.643459 | − | 0.765480i | \(-0.722501\pi\) |
0.984655 | + | 0.174512i | \(0.0558348\pi\) | |||||||
\(860\) | 8.92820 | + | 0.535898i | 0.304449 | + | 0.0182740i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 27.7128 | − | 16.0000i | 0.943902 | − | 0.544962i | ||||
\(863\) | 36.0000i | 1.22545i | 0.790295 | + | 0.612727i | \(0.209928\pi\) | ||||
−0.790295 | + | 0.612727i | \(0.790072\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 14.0000 | + | 28.0000i | 0.476014 | + | 0.952029i | ||||
\(866\) | −2.00000 | − | 3.46410i | −0.0679628 | − | 0.117715i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 13.8564 | + | 8.00000i | 0.470317 | + | 0.271538i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 24.0000 | + | 41.5692i | 0.813209 | + | 1.40852i | ||||
\(872\) | 10.0000i | 0.338643i | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −7.53590 | − | 21.0526i | −0.254760 | − | 0.711706i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 19.0526 | + | 11.0000i | 0.643359 | + | 0.371444i | 0.785907 | − | 0.618344i | \(-0.212196\pi\) |
−0.142548 | + | 0.989788i | \(0.545530\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 3.73205 | + | 2.46410i | 0.125807 | + | 0.0830648i | ||||
\(881\) | −18.0000 | −0.606435 | −0.303218 | − | 0.952921i | \(-0.598061\pi\) | ||||
−0.303218 | + | 0.952921i | \(0.598061\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 24.0000i | − | 0.807664i | −0.914833 | − | 0.403832i | \(-0.867678\pi\) | ||
0.914833 | − | 0.403832i | \(-0.132322\pi\) | |||||||
\(884\) | 6.00000 | + | 10.3923i | 0.201802 | + | 0.349531i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 18.0000 | − | 31.1769i | 0.604722 | − | 1.04741i | ||||
\(887\) | 10.3923 | + | 6.00000i | 0.348939 | + | 0.201460i | 0.664218 | − | 0.747539i | \(-0.268765\pi\) |
−0.315279 | + | 0.948999i | \(0.602098\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.00000 | + | 3.46410i | 0.0670778 | + | 0.116182i | ||||
\(890\) | −10.0000 | − | 20.0000i | −0.335201 | − | 0.670402i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 26.0000i | − | 0.870544i | ||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.33975 | + | 22.3205i | −0.0447828 | + | 0.746092i | ||||
\(896\) | 1.00000 | − | 1.73205i | 0.0334077 | − | 0.0578638i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −25.9808 | + | 15.0000i | −0.866989 | + | 0.500556i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 12.0000 | 0.399778 | ||||||||
\(902\) | 3.46410 | − | 2.00000i | 0.115342 | − | 0.0665927i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −3.00000 | + | 5.19615i | −0.0997785 | + | 0.172821i | ||||
\(905\) | 0.267949 | − | 4.46410i | 0.00890693 | − | 0.148392i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −10.3923 | + | 6.00000i | −0.345071 | + | 0.199227i | −0.662512 | − | 0.749051i | \(-0.730510\pi\) |
0.317441 | + | 0.948278i | \(0.397176\pi\) | |||||||
\(908\) | − | 28.0000i | − | 0.929213i | ||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −12.0000 | − | 24.0000i | −0.397796 | − | 0.795592i | ||||
\(911\) | 24.0000 | + | 41.5692i | 0.795155 | + | 1.37725i | 0.922740 | + | 0.385422i | \(0.125944\pi\) |
−0.127585 | + | 0.991828i | \(0.540723\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.92820 | + | 4.00000i | 0.229290 | + | 0.132381i | ||||
\(914\) | −16.0000 | + | 27.7128i | −0.529233 | + | 0.916658i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 5.00000 | + | 8.66025i | 0.165205 | + | 0.286143i | ||||
\(917\) | 36.0000i | 1.18882i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(920\) | −7.46410 | − | 4.92820i | −0.246084 | − | 0.162478i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −10.3923 | − | 6.00000i | −0.342252 | − | 0.197599i | ||||
\(923\) | −62.3538 | − | 36.0000i | −2.05240 | − | 1.18495i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.19615 | + | 9.92820i | −0.0393292 | + | 0.326437i | ||||
\(926\) | −6.00000 | −0.197172 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 15.0000 | + | 25.9808i | 0.492134 | + | 0.852401i | 0.999959 | − | 0.00905914i | \(-0.00288365\pi\) |
−0.507825 | + | 0.861460i | \(0.669550\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −12.1244 | − | 7.00000i | −0.397146 | − | 0.229293i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −6.00000 | − | 10.3923i | −0.196326 | − | 0.340047i | ||||
\(935\) | 4.00000 | + | 8.00000i | 0.130814 | + | 0.261628i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 8.00000i | 0.261349i | 0.991425 | + | 0.130674i | \(0.0417142\pi\) | ||||
−0.991425 | + | 0.130674i | \(0.958286\pi\) | |||||||
\(938\) | 13.8564 | − | 8.00000i | 0.452428 | − | 0.261209i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −17.8564 | − | 1.07180i | −0.582412 | − | 0.0349582i | ||||
\(941\) | 14.0000 | − | 24.2487i | 0.456387 | − | 0.790485i | −0.542380 | − | 0.840133i | \(-0.682477\pi\) |
0.998767 | + | 0.0496480i | \(0.0158099\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −6.92820 | + | 4.00000i | −0.225613 | + | 0.130258i | ||||
\(944\) | −10.0000 | −0.325472 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 8.00000 | 0.260102 | ||||||||
\(947\) | −10.3923 | + | 6.00000i | −0.337705 | + | 0.194974i | −0.659256 | − | 0.751918i | \(-0.729129\pi\) |
0.321552 | + | 0.946892i | \(0.395796\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −12.0000 | + | 20.7846i | −0.389536 | + | 0.674697i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.46410 | − | 2.00000i | 0.112272 | − | 0.0648204i | ||||
\(953\) | 46.0000i | 1.49009i | 0.667016 | + | 0.745043i | \(0.267571\pi\) | ||||
−0.667016 | + | 0.745043i | \(0.732429\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −24.0000 | + | 12.0000i | −0.776622 | + | 0.388311i | ||||
\(956\) | −10.0000 | − | 17.3205i | −0.323423 | − | 0.560185i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 17.3205 | + | 10.0000i | 0.559600 | + | 0.323085i | ||||
\(959\) | −18.0000 | + | 31.1769i | −0.581250 | + | 1.00676i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −16.5000 | − | 28.5788i | −0.532258 | − | 0.921898i | ||||
\(962\) | 12.0000i | 0.386896i | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −22.0000 | −0.708572 | ||||||||
\(965\) | 4.92820 | − | 7.46410i | 0.158644 | − | 0.240278i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.9090 | − | 19.0000i | −1.05828 | − | 0.610999i | −0.133325 | − | 0.991072i | \(-0.542565\pi\) |
−0.924956 | + | 0.380074i | \(0.875899\pi\) | |||||||
\(968\) | −6.06218 | − | 3.50000i | −0.194846 | − | 0.112494i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −14.9282 | − | 9.85641i | −0.479316 | − | 0.316470i | ||||
\(971\) | −18.0000 | −0.577647 | −0.288824 | − | 0.957382i | \(-0.593264\pi\) | ||||
−0.288824 | + | 0.957382i | \(0.593264\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − | 40.0000i | − | 1.28234i | ||||||
\(974\) | 9.00000 | + | 15.5885i | 0.288379 | + | 0.499486i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.00000 | + | 1.73205i | −0.0320092 | + | 0.0554416i | ||||
\(977\) | 36.3731 | + | 21.0000i | 1.16368 | + | 0.671850i | 0.952183 | − | 0.305530i | \(-0.0988335\pi\) |
0.211495 | + | 0.977379i | \(0.432167\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −10.0000 | − | 17.3205i | −0.319601 | − | 0.553566i | ||||
\(980\) | 6.00000 | − | 3.00000i | 0.191663 | − | 0.0958315i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | − | 18.0000i | − | 0.574403i | ||||||
\(983\) | 13.8564 | − | 8.00000i | 0.441951 | − | 0.255160i | −0.262474 | − | 0.964939i | \(-0.584538\pi\) |
0.704425 | + | 0.709779i | \(0.251205\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −49.1051 | − | 2.94744i | −1.56462 | − | 0.0939133i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −16.0000 | −0.508770 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.00000 | −0.254128 | −0.127064 | − | 0.991894i | \(-0.540555\pi\) | ||||
−0.127064 | + | 0.991894i | \(0.540555\pi\) | |||||||
\(992\) | −6.92820 | + | 4.00000i | −0.219971 | + | 0.127000i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −12.0000 | + | 20.7846i | −0.380617 | + | 0.659248i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 15.5885 | − | 9.00000i | 0.493691 | − | 0.285033i | −0.232413 | − | 0.972617i | \(-0.574662\pi\) |
0.726105 | + | 0.687584i | \(0.241329\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))