Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(28,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, 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("81.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
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: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 28.1 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 81.28 |
Dual form | 81.2.c.b.55.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 1.50000i | −0.612372 | − | 1.06066i | −0.990839 | − | 0.135045i | \(-0.956882\pi\) |
0.378467 | − | 0.925615i | \(-0.376451\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0.866025 | − | 1.50000i | 0.387298 | − | 0.670820i | −0.604787 | − | 0.796387i | \(-0.706742\pi\) |
0.992085 | + | 0.125567i | \(0.0400750\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.00000 | − | 1.73205i | −0.377964 | − | 0.654654i | 0.612801 | − | 0.790237i | \(-0.290043\pi\) |
−0.990766 | + | 0.135583i | \(0.956709\pi\) | |||||||
\(8\) | −1.73205 | −0.612372 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.00000 | −0.948683 | ||||||||
\(11\) | 1.73205 | + | 3.00000i | 0.522233 | + | 0.904534i | 0.999665 | + | 0.0258656i | \(0.00823419\pi\) |
−0.477432 | + | 0.878668i | \(0.658432\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.500000 | − | 0.866025i | 0.138675 | − | 0.240192i | −0.788320 | − | 0.615265i | \(-0.789049\pi\) |
0.926995 | + | 0.375073i | \(0.122382\pi\) | |||||||
\(14\) | −1.73205 | + | 3.00000i | −0.462910 | + | 0.801784i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.50000 | + | 4.33013i | 0.625000 | + | 1.08253i | ||||
\(17\) | 5.19615 | 1.26025 | 0.630126 | − | 0.776493i | \(-0.283003\pi\) | ||||
0.630126 | + | 0.776493i | \(0.283003\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.00000 | 0.458831 | 0.229416 | − | 0.973329i | \(-0.426318\pi\) | ||||
0.229416 | + | 0.973329i | \(0.426318\pi\) | |||||||
\(20\) | 0.866025 | + | 1.50000i | 0.193649 | + | 0.335410i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.00000 | − | 5.19615i | 0.639602 | − | 1.10782i | ||||
\(23\) | −1.73205 | + | 3.00000i | −0.361158 | + | 0.625543i | −0.988152 | − | 0.153481i | \(-0.950952\pi\) |
0.626994 | + | 0.779024i | \(0.284285\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.00000 | + | 1.73205i | 0.200000 | + | 0.346410i | ||||
\(26\) | −1.73205 | −0.339683 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.00000 | 0.377964 | ||||||||
\(29\) | −0.866025 | − | 1.50000i | −0.160817 | − | 0.278543i | 0.774345 | − | 0.632764i | \(-0.218080\pi\) |
−0.935162 | + | 0.354221i | \(0.884746\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.00000 | + | 6.92820i | −0.718421 | + | 1.24434i | 0.243204 | + | 0.969975i | \(0.421802\pi\) |
−0.961625 | + | 0.274367i | \(0.911532\pi\) | |||||||
\(32\) | 2.59808 | − | 4.50000i | 0.459279 | − | 0.795495i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.50000 | − | 7.79423i | −0.771744 | − | 1.33670i | ||||
\(35\) | −3.46410 | −0.585540 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.00000 | −1.15079 | −0.575396 | − | 0.817875i | \(-0.695152\pi\) | ||||
−0.575396 | + | 0.817875i | \(0.695152\pi\) | |||||||
\(38\) | −1.73205 | − | 3.00000i | −0.280976 | − | 0.486664i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.50000 | + | 2.59808i | −0.237171 | + | 0.410792i | ||||
\(41\) | 3.46410 | − | 6.00000i | 0.541002 | − | 0.937043i | −0.457845 | − | 0.889032i | \(-0.651379\pi\) |
0.998847 | − | 0.0480106i | \(-0.0152881\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.00000 | − | 1.73205i | −0.152499 | − | 0.264135i | 0.779647 | − | 0.626219i | \(-0.215399\pi\) |
−0.932145 | + | 0.362084i | \(0.882065\pi\) | |||||||
\(44\) | −3.46410 | −0.522233 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.00000 | 0.884652 | ||||||||
\(47\) | −3.46410 | − | 6.00000i | −0.505291 | − | 0.875190i | −0.999981 | − | 0.00612051i | \(-0.998052\pi\) |
0.494690 | − | 0.869069i | \(-0.335282\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.50000 | − | 2.59808i | 0.214286 | − | 0.371154i | ||||
\(50\) | 1.73205 | − | 3.00000i | 0.244949 | − | 0.424264i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.500000 | + | 0.866025i | 0.0693375 | + | 0.120096i | ||||
\(53\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.00000 | 0.809040 | ||||||||
\(56\) | 1.73205 | + | 3.00000i | 0.231455 | + | 0.400892i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.50000 | + | 2.59808i | −0.196960 | + | 0.341144i | ||||
\(59\) | −6.92820 | + | 12.0000i | −0.901975 | + | 1.56227i | −0.0770484 | + | 0.997027i | \(0.524550\pi\) |
−0.824927 | + | 0.565240i | \(0.808784\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.50000 | + | 6.06218i | 0.448129 | + | 0.776182i | 0.998264 | − | 0.0588933i | \(-0.0187572\pi\) |
−0.550135 | + | 0.835076i | \(0.685424\pi\) | |||||||
\(62\) | 13.8564 | 1.75977 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.866025 | − | 1.50000i | −0.107417 | − | 0.186052i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.00000 | − | 8.66025i | 0.610847 | − | 1.05802i | −0.380251 | − | 0.924883i | \(-0.624162\pi\) |
0.991098 | − | 0.133135i | \(-0.0425044\pi\) | |||||||
\(68\) | −2.59808 | + | 4.50000i | −0.315063 | + | 0.545705i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.00000 | + | 5.19615i | 0.358569 | + | 0.621059i | ||||
\(71\) | −10.3923 | −1.23334 | −0.616670 | − | 0.787222i | \(-0.711519\pi\) | ||||
−0.616670 | + | 0.787222i | \(0.711519\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.00000 | −0.819288 | −0.409644 | − | 0.912245i | \(-0.634347\pi\) | ||||
−0.409644 | + | 0.912245i | \(0.634347\pi\) | |||||||
\(74\) | 6.06218 | + | 10.5000i | 0.704714 | + | 1.22060i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.00000 | + | 1.73205i | −0.114708 | + | 0.198680i | ||||
\(77\) | 3.46410 | − | 6.00000i | 0.394771 | − | 0.683763i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.00000 | − | 1.73205i | −0.112509 | − | 0.194871i | 0.804272 | − | 0.594261i | \(-0.202555\pi\) |
−0.916781 | + | 0.399390i | \(0.869222\pi\) | |||||||
\(80\) | 8.66025 | 0.968246 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −12.0000 | −1.32518 | ||||||||
\(83\) | 6.92820 | + | 12.0000i | 0.760469 | + | 1.31717i | 0.942609 | + | 0.333899i | \(0.108364\pi\) |
−0.182140 | + | 0.983273i | \(0.558302\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.50000 | − | 7.79423i | 0.488094 | − | 0.845403i | ||||
\(86\) | −1.73205 | + | 3.00000i | −0.186772 | + | 0.323498i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.00000 | − | 5.19615i | −0.319801 | − | 0.553912i | ||||
\(89\) | −5.19615 | −0.550791 | −0.275396 | − | 0.961331i | \(-0.588809\pi\) | ||||
−0.275396 | + | 0.961331i | \(0.588809\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.00000 | −0.209657 | ||||||||
\(92\) | −1.73205 | − | 3.00000i | −0.180579 | − | 0.312772i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −6.00000 | + | 10.3923i | −0.618853 | + | 1.07188i | ||||
\(95\) | 1.73205 | − | 3.00000i | 0.177705 | − | 0.307794i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.00000 | − | 1.73205i | −0.101535 | − | 0.175863i | 0.810782 | − | 0.585348i | \(-0.199042\pi\) |
−0.912317 | + | 0.409484i | \(0.865709\pi\) | |||||||
\(98\) | −5.19615 | −0.524891 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.00000 | −0.200000 | ||||||||
\(101\) | −3.46410 | − | 6.00000i | −0.344691 | − | 0.597022i | 0.640607 | − | 0.767869i | \(-0.278683\pi\) |
−0.985298 | + | 0.170847i | \(0.945350\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.00000 | + | 6.92820i | −0.394132 | + | 0.682656i | −0.992990 | − | 0.118199i | \(-0.962288\pi\) |
0.598858 | + | 0.800855i | \(0.295621\pi\) | |||||||
\(104\) | −0.866025 | + | 1.50000i | −0.0849208 | + | 0.147087i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 11.0000 | 1.05361 | 0.526804 | − | 0.849987i | \(-0.323390\pi\) | ||||
0.526804 | + | 0.849987i | \(0.323390\pi\) | |||||||
\(110\) | −5.19615 | − | 9.00000i | −0.495434 | − | 0.858116i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 5.00000 | − | 8.66025i | 0.472456 | − | 0.818317i | ||||
\(113\) | 0.866025 | − | 1.50000i | 0.0814688 | − | 0.141108i | −0.822412 | − | 0.568892i | \(-0.807372\pi\) |
0.903881 | + | 0.427784i | \(0.140706\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.00000 | + | 5.19615i | 0.279751 | + | 0.484544i | ||||
\(116\) | 1.73205 | 0.160817 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 24.0000 | 2.20938 | ||||||||
\(119\) | −5.19615 | − | 9.00000i | −0.476331 | − | 0.825029i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.500000 | + | 0.866025i | −0.0454545 | + | 0.0787296i | ||||
\(122\) | 6.06218 | − | 10.5000i | 0.548844 | − | 0.950625i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.00000 | − | 6.92820i | −0.359211 | − | 0.622171i | ||||
\(125\) | 12.1244 | 1.08444 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.00000 | 0.177471 | 0.0887357 | − | 0.996055i | \(-0.471717\pi\) | ||||
0.0887357 | + | 0.996055i | \(0.471717\pi\) | |||||||
\(128\) | −6.06218 | − | 10.5000i | −0.535826 | − | 0.928078i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.50000 | + | 2.59808i | −0.131559 | + | 0.227866i | ||||
\(131\) | −1.73205 | + | 3.00000i | −0.151330 | + | 0.262111i | −0.931717 | − | 0.363186i | \(-0.881689\pi\) |
0.780387 | + | 0.625297i | \(0.215022\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.00000 | − | 3.46410i | −0.173422 | − | 0.300376i | ||||
\(134\) | −17.3205 | −1.49626 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −9.00000 | −0.771744 | ||||||||
\(137\) | −0.866025 | − | 1.50000i | −0.0739895 | − | 0.128154i | 0.826657 | − | 0.562706i | \(-0.190240\pi\) |
−0.900646 | + | 0.434553i | \(0.856906\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.00000 | + | 6.92820i | −0.339276 | + | 0.587643i | −0.984297 | − | 0.176522i | \(-0.943515\pi\) |
0.645021 | + | 0.764165i | \(0.276849\pi\) | |||||||
\(140\) | 1.73205 | − | 3.00000i | 0.146385 | − | 0.253546i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 9.00000 | + | 15.5885i | 0.755263 | + | 1.30815i | ||||
\(143\) | 3.46410 | 0.289683 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.00000 | −0.249136 | ||||||||
\(146\) | 6.06218 | + | 10.5000i | 0.501709 | + | 0.868986i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.50000 | − | 6.06218i | 0.287698 | − | 0.498308i | ||||
\(149\) | −4.33013 | + | 7.50000i | −0.354738 | + | 0.614424i | −0.987073 | − | 0.160271i | \(-0.948763\pi\) |
0.632335 | + | 0.774695i | \(0.282097\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −10.0000 | − | 17.3205i | −0.813788 | − | 1.40952i | −0.910195 | − | 0.414181i | \(-0.864068\pi\) |
0.0964061 | − | 0.995342i | \(-0.469265\pi\) | |||||||
\(152\) | −3.46410 | −0.280976 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −12.0000 | −0.966988 | ||||||||
\(155\) | 6.92820 | + | 12.0000i | 0.556487 | + | 0.963863i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.50000 | + | 14.7224i | −0.678374 | + | 1.17498i | 0.297097 | + | 0.954847i | \(0.403982\pi\) |
−0.975470 | + | 0.220131i | \(0.929352\pi\) | |||||||
\(158\) | −1.73205 | + | 3.00000i | −0.137795 | + | 0.238667i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.50000 | − | 7.79423i | −0.355756 | − | 0.616188i | ||||
\(161\) | 6.92820 | 0.546019 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −16.0000 | −1.25322 | −0.626608 | − | 0.779334i | \(-0.715557\pi\) | ||||
−0.626608 | + | 0.779334i | \(0.715557\pi\) | |||||||
\(164\) | 3.46410 | + | 6.00000i | 0.270501 | + | 0.468521i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.0000 | − | 20.7846i | 0.931381 | − | 1.61320i | ||||
\(167\) | 8.66025 | − | 15.0000i | 0.670151 | − | 1.16073i | −0.307711 | − | 0.951480i | \(-0.599563\pi\) |
0.977861 | − | 0.209255i | \(-0.0671038\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.00000 | + | 10.3923i | 0.461538 | + | 0.799408i | ||||
\(170\) | −15.5885 | −1.19558 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.00000 | 0.152499 | ||||||||
\(173\) | 9.52628 | + | 16.5000i | 0.724270 | + | 1.25447i | 0.959274 | + | 0.282477i | \(0.0911562\pi\) |
−0.235004 | + | 0.971994i | \(0.575510\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.00000 | − | 3.46410i | 0.151186 | − | 0.261861i | ||||
\(176\) | −8.66025 | + | 15.0000i | −0.652791 | + | 1.13067i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.50000 | + | 7.79423i | 0.337289 | + | 0.584202i | ||||
\(179\) | 20.7846 | 1.55351 | 0.776757 | − | 0.629800i | \(-0.216863\pi\) | ||||
0.776757 | + | 0.629800i | \(0.216863\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.00000 | 0.148659 | 0.0743294 | − | 0.997234i | \(-0.476318\pi\) | ||||
0.0743294 | + | 0.997234i | \(0.476318\pi\) | |||||||
\(182\) | 1.73205 | + | 3.00000i | 0.128388 | + | 0.222375i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.00000 | − | 5.19615i | 0.221163 | − | 0.383065i | ||||
\(185\) | −6.06218 | + | 10.5000i | −0.445700 | + | 0.771975i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.00000 | + | 15.5885i | 0.658145 | + | 1.13994i | ||||
\(188\) | 6.92820 | 0.505291 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.00000 | −0.435286 | ||||||||
\(191\) | −8.66025 | − | 15.0000i | −0.626634 | − | 1.08536i | −0.988222 | − | 0.153024i | \(-0.951099\pi\) |
0.361588 | − | 0.932338i | \(-0.382235\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.500000 | − | 0.866025i | 0.0359908 | − | 0.0623379i | −0.847469 | − | 0.530845i | \(-0.821875\pi\) |
0.883460 | + | 0.468507i | \(0.155208\pi\) | |||||||
\(194\) | −1.73205 | + | 3.00000i | −0.124354 | + | 0.215387i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.50000 | + | 2.59808i | 0.107143 | + | 0.185577i | ||||
\(197\) | −5.19615 | −0.370211 | −0.185105 | − | 0.982719i | \(-0.559263\pi\) | ||||
−0.185105 | + | 0.982719i | \(0.559263\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 20.0000 | 1.41776 | 0.708881 | − | 0.705328i | \(-0.249200\pi\) | ||||
0.708881 | + | 0.705328i | \(0.249200\pi\) | |||||||
\(200\) | −1.73205 | − | 3.00000i | −0.122474 | − | 0.212132i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.00000 | + | 10.3923i | −0.422159 | + | 0.731200i | ||||
\(203\) | −1.73205 | + | 3.00000i | −0.121566 | + | 0.210559i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.00000 | − | 10.3923i | −0.419058 | − | 0.725830i | ||||
\(206\) | 13.8564 | 0.965422 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 5.00000 | 0.346688 | ||||||||
\(209\) | 3.46410 | + | 6.00000i | 0.239617 | + | 0.415029i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.00000 | − | 8.66025i | 0.344214 | − | 0.596196i | −0.640996 | − | 0.767544i | \(-0.721479\pi\) |
0.985211 | + | 0.171347i | \(0.0548120\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.46410 | −0.236250 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 16.0000 | 1.08615 | ||||||||
\(218\) | −9.52628 | − | 16.5000i | −0.645201 | − | 1.11752i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.00000 | + | 5.19615i | −0.202260 | + | 0.350325i | ||||
\(221\) | 2.59808 | − | 4.50000i | 0.174766 | − | 0.302703i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.00000 | − | 1.73205i | −0.0669650 | − | 0.115987i | 0.830599 | − | 0.556871i | \(-0.187998\pi\) |
−0.897564 | + | 0.440884i | \(0.854665\pi\) | |||||||
\(224\) | −10.3923 | −0.694365 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.00000 | −0.199557 | ||||||||
\(227\) | 1.73205 | + | 3.00000i | 0.114960 | + | 0.199117i | 0.917764 | − | 0.397127i | \(-0.129993\pi\) |
−0.802804 | + | 0.596244i | \(0.796659\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.500000 | − | 0.866025i | 0.0330409 | − | 0.0572286i | −0.849032 | − | 0.528341i | \(-0.822814\pi\) |
0.882073 | + | 0.471113i | \(0.156147\pi\) | |||||||
\(230\) | 5.19615 | − | 9.00000i | 0.342624 | − | 0.593442i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.50000 | + | 2.59808i | 0.0984798 | + | 0.170572i | ||||
\(233\) | −25.9808 | −1.70206 | −0.851028 | − | 0.525120i | \(-0.824020\pi\) | ||||
−0.851028 | + | 0.525120i | \(0.824020\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.0000 | −0.782794 | ||||||||
\(236\) | −6.92820 | − | 12.0000i | −0.450988 | − | 0.781133i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −9.00000 | + | 15.5885i | −0.583383 | + | 1.01045i | ||||
\(239\) | 13.8564 | − | 24.0000i | 0.896296 | − | 1.55243i | 0.0641045 | − | 0.997943i | \(-0.479581\pi\) |
0.832192 | − | 0.554488i | \(-0.187086\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.5000 | − | 25.1147i | −0.934027 | − | 1.61778i | −0.776360 | − | 0.630290i | \(-0.782936\pi\) |
−0.157667 | − | 0.987492i | \(-0.550397\pi\) | |||||||
\(242\) | 1.73205 | 0.111340 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −7.00000 | −0.448129 | ||||||||
\(245\) | −2.59808 | − | 4.50000i | −0.165985 | − | 0.287494i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.00000 | − | 1.73205i | 0.0636285 | − | 0.110208i | ||||
\(248\) | 6.92820 | − | 12.0000i | 0.439941 | − | 0.762001i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −10.5000 | − | 18.1865i | −0.664078 | − | 1.15022i | ||||
\(251\) | 10.3923 | 0.655956 | 0.327978 | − | 0.944685i | \(-0.393633\pi\) | ||||
0.327978 | + | 0.944685i | \(0.393633\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.0000 | −0.754434 | ||||||||
\(254\) | −1.73205 | − | 3.00000i | −0.108679 | − | 0.188237i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −9.50000 | + | 16.4545i | −0.593750 | + | 1.02841i | ||||
\(257\) | −4.33013 | + | 7.50000i | −0.270106 | + | 0.467837i | −0.968889 | − | 0.247497i | \(-0.920392\pi\) |
0.698783 | + | 0.715334i | \(0.253725\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.00000 | + | 12.1244i | 0.434959 | + | 0.753371i | ||||
\(260\) | 1.73205 | 0.107417 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 6.00000 | 0.370681 | ||||||||
\(263\) | −3.46410 | − | 6.00000i | −0.213606 | − | 0.369976i | 0.739235 | − | 0.673448i | \(-0.235187\pi\) |
−0.952840 | + | 0.303472i | \(0.901854\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −3.46410 | + | 6.00000i | −0.212398 | + | 0.367884i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.00000 | + | 8.66025i | 0.305424 | + | 0.529009i | ||||
\(269\) | −15.5885 | −0.950445 | −0.475223 | − | 0.879866i | \(-0.657632\pi\) | ||||
−0.475223 | + | 0.879866i | \(0.657632\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.00000 | 0.121491 | 0.0607457 | − | 0.998153i | \(-0.480652\pi\) | ||||
0.0607457 | + | 0.998153i | \(0.480652\pi\) | |||||||
\(272\) | 12.9904 | + | 22.5000i | 0.787658 | + | 1.36426i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.50000 | + | 2.59808i | −0.0906183 | + | 0.156956i | ||||
\(275\) | −3.46410 | + | 6.00000i | −0.208893 | + | 0.361814i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.00000 | − | 1.73205i | −0.0600842 | − | 0.104069i | 0.834419 | − | 0.551131i | \(-0.185804\pi\) |
−0.894503 | + | 0.447062i | \(0.852470\pi\) | |||||||
\(278\) | 13.8564 | 0.831052 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.00000 | 0.358569 | ||||||||
\(281\) | −6.06218 | − | 10.5000i | −0.361639 | − | 0.626377i | 0.626592 | − | 0.779348i | \(-0.284449\pi\) |
−0.988231 | + | 0.152970i | \(0.951116\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.0000 | − | 24.2487i | 0.832214 | − | 1.44144i | −0.0640654 | − | 0.997946i | \(-0.520407\pi\) |
0.896279 | − | 0.443491i | \(-0.146260\pi\) | |||||||
\(284\) | 5.19615 | − | 9.00000i | 0.308335 | − | 0.534052i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.00000 | − | 5.19615i | −0.177394 | − | 0.307255i | ||||
\(287\) | −13.8564 | −0.817918 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 10.0000 | 0.588235 | ||||||||
\(290\) | 2.59808 | + | 4.50000i | 0.152564 | + | 0.264249i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.50000 | − | 6.06218i | 0.204822 | − | 0.354762i | ||||
\(293\) | −9.52628 | + | 16.5000i | −0.556531 | + | 0.963940i | 0.441251 | + | 0.897384i | \(0.354535\pi\) |
−0.997783 | + | 0.0665568i | \(0.978799\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.0000 | + | 20.7846i | 0.698667 | + | 1.21013i | ||||
\(296\) | 12.1244 | 0.704714 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 15.0000 | 0.868927 | ||||||||
\(299\) | 1.73205 | + | 3.00000i | 0.100167 | + | 0.173494i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.00000 | + | 3.46410i | −0.115278 | + | 0.199667i | ||||
\(302\) | −17.3205 | + | 30.0000i | −0.996683 | + | 1.72631i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5.00000 | + | 8.66025i | 0.286770 | + | 0.496700i | ||||
\(305\) | 12.1244 | 0.694239 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −16.0000 | −0.913168 | −0.456584 | − | 0.889680i | \(-0.650927\pi\) | ||||
−0.456584 | + | 0.889680i | \(0.650927\pi\) | |||||||
\(308\) | 3.46410 | + | 6.00000i | 0.197386 | + | 0.341882i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 12.0000 | − | 20.7846i | 0.681554 | − | 1.18049i | ||||
\(311\) | 3.46410 | − | 6.00000i | 0.196431 | − | 0.340229i | −0.750938 | − | 0.660373i | \(-0.770398\pi\) |
0.947369 | + | 0.320144i | \(0.103731\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.5000 | + | 21.6506i | 0.706542 | + | 1.22377i | 0.966132 | + | 0.258047i | \(0.0830791\pi\) |
−0.259590 | + | 0.965719i | \(0.583588\pi\) | |||||||
\(314\) | 29.4449 | 1.66167 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.00000 | 0.112509 | ||||||||
\(317\) | 4.33013 | + | 7.50000i | 0.243204 | + | 0.421242i | 0.961625 | − | 0.274367i | \(-0.0884682\pi\) |
−0.718421 | + | 0.695609i | \(0.755135\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.00000 | − | 5.19615i | 0.167968 | − | 0.290929i | ||||
\(320\) | 0.866025 | − | 1.50000i | 0.0484123 | − | 0.0838525i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −6.00000 | − | 10.3923i | −0.334367 | − | 0.579141i | ||||
\(323\) | 10.3923 | 0.578243 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.00000 | 0.110940 | ||||||||
\(326\) | 13.8564 | + | 24.0000i | 0.767435 | + | 1.32924i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −6.00000 | + | 10.3923i | −0.331295 | + | 0.573819i | ||||
\(329\) | −6.92820 | + | 12.0000i | −0.381964 | + | 0.661581i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.00000 | − | 1.73205i | −0.0549650 | − | 0.0952021i | 0.837234 | − | 0.546845i | \(-0.184171\pi\) |
−0.892199 | + | 0.451643i | \(0.850838\pi\) | |||||||
\(332\) | −13.8564 | −0.760469 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −30.0000 | −1.64153 | ||||||||
\(335\) | −8.66025 | − | 15.0000i | −0.473160 | − | 0.819538i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −13.0000 | + | 22.5167i | −0.708155 | + | 1.22656i | 0.257386 | + | 0.966309i | \(0.417139\pi\) |
−0.965541 | + | 0.260252i | \(0.916194\pi\) | |||||||
\(338\) | 10.3923 | − | 18.0000i | 0.565267 | − | 0.979071i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 4.50000 | + | 7.79423i | 0.244047 | + | 0.422701i | ||||
\(341\) | −27.7128 | −1.50073 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −20.0000 | −1.07990 | ||||||||
\(344\) | 1.73205 | + | 3.00000i | 0.0933859 | + | 0.161749i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 16.5000 | − | 28.5788i | 0.887045 | − | 1.53641i | ||||
\(347\) | −1.73205 | + | 3.00000i | −0.0929814 | + | 0.161048i | −0.908764 | − | 0.417310i | \(-0.862973\pi\) |
0.815783 | + | 0.578358i | \(0.196306\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.00000 | − | 1.73205i | −0.0535288 | − | 0.0927146i | 0.838019 | − | 0.545640i | \(-0.183714\pi\) |
−0.891548 | + | 0.452926i | \(0.850380\pi\) | |||||||
\(350\) | −6.92820 | −0.370328 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 18.0000 | 0.959403 | ||||||||
\(353\) | 6.92820 | + | 12.0000i | 0.368751 | + | 0.638696i | 0.989371 | − | 0.145416i | \(-0.0464522\pi\) |
−0.620620 | + | 0.784112i | \(0.713119\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.00000 | + | 15.5885i | −0.477670 | + | 0.827349i | ||||
\(356\) | 2.59808 | − | 4.50000i | 0.137698 | − | 0.238500i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −18.0000 | − | 31.1769i | −0.951330 | − | 1.64775i | ||||
\(359\) | 10.3923 | 0.548485 | 0.274242 | − | 0.961661i | \(-0.411573\pi\) | ||||
0.274242 | + | 0.961661i | \(0.411573\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.0000 | −0.789474 | ||||||||
\(362\) | −1.73205 | − | 3.00000i | −0.0910346 | − | 0.157676i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.00000 | − | 1.73205i | 0.0524142 | − | 0.0907841i | ||||
\(365\) | −6.06218 | + | 10.5000i | −0.317309 | + | 0.549595i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.0000 | − | 17.3205i | −0.521996 | − | 0.904123i | −0.999673 | − | 0.0255875i | \(-0.991854\pi\) |
0.477677 | − | 0.878536i | \(-0.341479\pi\) | |||||||
\(368\) | −17.3205 | −0.902894 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 21.0000 | 1.09174 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.00000 | − | 8.66025i | 0.258890 | − | 0.448411i | −0.707055 | − | 0.707159i | \(-0.749977\pi\) |
0.965945 | + | 0.258748i | \(0.0833099\pi\) | |||||||
\(374\) | 15.5885 | − | 27.0000i | 0.806060 | − | 1.39614i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.00000 | + | 10.3923i | 0.309426 | + | 0.535942i | ||||
\(377\) | −1.73205 | −0.0892052 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −16.0000 | −0.821865 | −0.410932 | − | 0.911666i | \(-0.634797\pi\) | ||||
−0.410932 | + | 0.911666i | \(0.634797\pi\) | |||||||
\(380\) | 1.73205 | + | 3.00000i | 0.0888523 | + | 0.153897i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −15.0000 | + | 25.9808i | −0.767467 | + | 1.32929i | ||||
\(383\) | 8.66025 | − | 15.0000i | 0.442518 | − | 0.766464i | −0.555357 | − | 0.831612i | \(-0.687419\pi\) |
0.997876 | + | 0.0651476i | \(0.0207518\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −6.00000 | − | 10.3923i | −0.305788 | − | 0.529641i | ||||
\(386\) | −1.73205 | −0.0881591 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.00000 | 0.101535 | ||||||||
\(389\) | −13.8564 | − | 24.0000i | −0.702548 | − | 1.21685i | −0.967569 | − | 0.252606i | \(-0.918712\pi\) |
0.265022 | − | 0.964242i | \(-0.414621\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.00000 | + | 15.5885i | −0.455150 | + | 0.788342i | ||||
\(392\) | −2.59808 | + | 4.50000i | −0.131223 | + | 0.227284i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.50000 | + | 7.79423i | 0.226707 | + | 0.392668i | ||||
\(395\) | −3.46410 | −0.174298 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 29.0000 | 1.45547 | 0.727734 | − | 0.685859i | \(-0.240573\pi\) | ||||
0.727734 | + | 0.685859i | \(0.240573\pi\) | |||||||
\(398\) | −17.3205 | − | 30.0000i | −0.868199 | − | 1.50376i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.00000 | + | 8.66025i | −0.250000 | + | 0.433013i | ||||
\(401\) | 6.06218 | − | 10.5000i | 0.302731 | − | 0.524345i | −0.674023 | − | 0.738711i | \(-0.735435\pi\) |
0.976753 | + | 0.214366i | \(0.0687684\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.00000 | + | 6.92820i | 0.199254 | + | 0.345118i | ||||
\(404\) | 6.92820 | 0.344691 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.00000 | 0.297775 | ||||||||
\(407\) | −12.1244 | − | 21.0000i | −0.600982 | − | 1.04093i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.50000 | − | 16.4545i | 0.469745 | − | 0.813622i | −0.529657 | − | 0.848212i | \(-0.677679\pi\) |
0.999402 | + | 0.0345902i | \(0.0110126\pi\) | |||||||
\(410\) | −10.3923 | + | 18.0000i | −0.513239 | + | 0.888957i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.00000 | − | 6.92820i | −0.197066 | − | 0.341328i | ||||
\(413\) | 27.7128 | 1.36366 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 24.0000 | 1.17811 | ||||||||
\(416\) | −2.59808 | − | 4.50000i | −0.127381 | − | 0.220631i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 6.00000 | − | 10.3923i | 0.293470 | − | 0.508304i | ||||
\(419\) | 3.46410 | − | 6.00000i | 0.169232 | − | 0.293119i | −0.768918 | − | 0.639348i | \(-0.779204\pi\) |
0.938150 | + | 0.346228i | \(0.112538\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.5000 | + | 21.6506i | 0.609213 | + | 1.05519i | 0.991370 | + | 0.131090i | \(0.0418478\pi\) |
−0.382158 | + | 0.924097i | \(0.624819\pi\) | |||||||
\(422\) | −17.3205 | −0.843149 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 5.19615 | + | 9.00000i | 0.252050 | + | 0.436564i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.00000 | − | 12.1244i | 0.338754 | − | 0.586739i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.00000 | + | 5.19615i | 0.144673 | + | 0.250581i | ||||
\(431\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.0000 | 0.528626 | 0.264313 | − | 0.964437i | \(-0.414855\pi\) | ||||
0.264313 | + | 0.964437i | \(0.414855\pi\) | |||||||
\(434\) | −13.8564 | − | 24.0000i | −0.665129 | − | 1.15204i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.50000 | + | 9.52628i | −0.263402 | + | 0.456226i | ||||
\(437\) | −3.46410 | + | 6.00000i | −0.165710 | + | 0.287019i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.0000 | − | 17.3205i | −0.477274 | − | 0.826663i | 0.522387 | − | 0.852709i | \(-0.325042\pi\) |
−0.999661 | + | 0.0260459i | \(0.991708\pi\) | |||||||
\(440\) | −10.3923 | −0.495434 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −9.00000 | −0.428086 | ||||||||
\(443\) | 17.3205 | + | 30.0000i | 0.822922 | + | 1.42534i | 0.903497 | + | 0.428594i | \(0.140991\pi\) |
−0.0805748 | + | 0.996749i | \(0.525676\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.50000 | + | 7.79423i | −0.213320 | + | 0.369482i | ||||
\(446\) | −1.73205 | + | 3.00000i | −0.0820150 | + | 0.142054i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.00000 | − | 1.73205i | −0.0472456 | − | 0.0818317i | ||||
\(449\) | 20.7846 | 0.980886 | 0.490443 | − | 0.871473i | \(-0.336835\pi\) | ||||
0.490443 | + | 0.871473i | \(0.336835\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 24.0000 | 1.13012 | ||||||||
\(452\) | 0.866025 | + | 1.50000i | 0.0407344 | + | 0.0705541i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.00000 | − | 5.19615i | 0.140797 | − | 0.243868i | ||||
\(455\) | −1.73205 | + | 3.00000i | −0.0811998 | + | 0.140642i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −14.5000 | − | 25.1147i | −0.678281 | − | 1.17482i | −0.975498 | − | 0.220008i | \(-0.929392\pi\) |
0.297217 | − | 0.954810i | \(-0.403942\pi\) | |||||||
\(458\) | −1.73205 | −0.0809334 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −6.00000 | −0.279751 | ||||||||
\(461\) | 6.92820 | + | 12.0000i | 0.322679 | + | 0.558896i | 0.981040 | − | 0.193806i | \(-0.0620834\pi\) |
−0.658361 | + | 0.752702i | \(0.728750\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.00000 | + | 6.92820i | −0.185896 | + | 0.321981i | −0.943878 | − | 0.330294i | \(-0.892852\pi\) |
0.757982 | + | 0.652275i | \(0.226185\pi\) | |||||||
\(464\) | 4.33013 | − | 7.50000i | 0.201021 | − | 0.348179i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 22.5000 | + | 38.9711i | 1.04229 | + | 1.80530i | ||||
\(467\) | −20.7846 | −0.961797 | −0.480899 | − | 0.876776i | \(-0.659689\pi\) | ||||
−0.480899 | + | 0.876776i | \(0.659689\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −20.0000 | −0.923514 | ||||||||
\(470\) | 10.3923 | + | 18.0000i | 0.479361 | + | 0.830278i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 12.0000 | − | 20.7846i | 0.552345 | − | 0.956689i | ||||
\(473\) | 3.46410 | − | 6.00000i | 0.159280 | − | 0.275880i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.00000 | + | 3.46410i | 0.0917663 | + | 0.158944i | ||||
\(476\) | 10.3923 | 0.476331 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −48.0000 | −2.19547 | ||||||||
\(479\) | 12.1244 | + | 21.0000i | 0.553976 | + | 0.959514i | 0.997982 | + | 0.0634909i | \(0.0202234\pi\) |
−0.444006 | + | 0.896024i | \(0.646443\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.50000 | + | 6.06218i | −0.159586 | + | 0.276412i | ||||
\(482\) | −25.1147 | + | 43.5000i | −1.14394 | + | 1.98137i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.500000 | − | 0.866025i | −0.0227273 | − | 0.0393648i | ||||
\(485\) | −3.46410 | −0.157297 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.0000 | −0.725029 | −0.362515 | − | 0.931978i | \(-0.618082\pi\) | ||||
−0.362515 | + | 0.931978i | \(0.618082\pi\) | |||||||
\(488\) | −6.06218 | − | 10.5000i | −0.274422 | − | 0.475313i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4.50000 | + | 7.79423i | −0.203289 | + | 0.352107i | ||||
\(491\) | 8.66025 | − | 15.0000i | 0.390832 | − | 0.676941i | −0.601728 | − | 0.798701i | \(-0.705521\pi\) |
0.992559 | + | 0.121761i | \(0.0388541\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.50000 | − | 7.79423i | −0.202670 | − | 0.351034i | ||||
\(494\) | −3.46410 | −0.155857 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −40.0000 | −1.79605 | ||||||||
\(497\) | 10.3923 | + | 18.0000i | 0.466159 | + | 0.807410i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.00000 | − | 8.66025i | 0.223831 | − | 0.387686i | −0.732137 | − | 0.681157i | \(-0.761477\pi\) |
0.955968 | + | 0.293471i | \(0.0948104\pi\) | |||||||
\(500\) | −6.06218 | + | 10.5000i | −0.271109 | + | 0.469574i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −9.00000 | − | 15.5885i | −0.401690 | − | 0.695747i | ||||
\(503\) | 20.7846 | 0.926740 | 0.463370 | − | 0.886165i | \(-0.346640\pi\) | ||||
0.463370 | + | 0.886165i | \(0.346640\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.0000 | −0.533993 | ||||||||
\(506\) | 10.3923 | + | 18.0000i | 0.461994 | + | 0.800198i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.00000 | + | 1.73205i | −0.0443678 | + | 0.0768473i | ||||
\(509\) | 13.8564 | − | 24.0000i | 0.614174 | − | 1.06378i | −0.376354 | − | 0.926476i | \(-0.622822\pi\) |
0.990529 | − | 0.137305i | \(-0.0438442\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.00000 | + | 12.1244i | 0.309662 | + | 0.536350i | ||||
\(512\) | 8.66025 | 0.382733 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 15.0000 | 0.661622 | ||||||||
\(515\) | 6.92820 | + | 12.0000i | 0.305293 | + | 0.528783i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 12.0000 | − | 20.7846i | 0.527759 | − | 0.914106i | ||||
\(518\) | 12.1244 | − | 21.0000i | 0.532714 | − | 0.922687i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.50000 | + | 2.59808i | 0.0657794 | + | 0.113933i | ||||
\(521\) | −20.7846 | −0.910590 | −0.455295 | − | 0.890341i | \(-0.650466\pi\) | ||||
−0.455295 | + | 0.890341i | \(0.650466\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 38.0000 | 1.66162 | 0.830812 | − | 0.556553i | \(-0.187876\pi\) | ||||
0.830812 | + | 0.556553i | \(0.187876\pi\) | |||||||
\(524\) | −1.73205 | − | 3.00000i | −0.0756650 | − | 0.131056i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −6.00000 | + | 10.3923i | −0.261612 | + | 0.453126i | ||||
\(527\) | −20.7846 | + | 36.0000i | −0.905392 | + | 1.56818i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.50000 | + | 9.52628i | 0.239130 | + | 0.414186i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 4.00000 | 0.173422 | ||||||||
\(533\) | −3.46410 | − | 6.00000i | −0.150047 | − | 0.259889i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −8.66025 | + | 15.0000i | −0.374066 | + | 0.647901i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 13.5000 | + | 23.3827i | 0.582026 | + | 1.00810i | ||||
\(539\) | 10.3923 | 0.447628 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.0000 | 0.472927 | 0.236463 | − | 0.971640i | \(-0.424012\pi\) | ||||
0.236463 | + | 0.971640i | \(0.424012\pi\) | |||||||
\(542\) | −1.73205 | − | 3.00000i | −0.0743980 | − | 0.128861i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 13.5000 | − | 23.3827i | 0.578808 | − | 1.00252i | ||||
\(545\) | 9.52628 | − | 16.5000i | 0.408061 | − | 0.706782i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.0000 | − | 17.3205i | −0.427569 | − | 0.740571i | 0.569087 | − | 0.822277i | \(-0.307297\pi\) |
−0.996657 | + | 0.0817056i | \(0.973963\pi\) | |||||||
\(548\) | 1.73205 | 0.0739895 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 12.0000 | 0.511682 | ||||||||
\(551\) | −1.73205 | − | 3.00000i | −0.0737878 | − | 0.127804i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.00000 | + | 3.46410i | −0.0850487 | + | 0.147309i | ||||
\(554\) | −1.73205 | + | 3.00000i | −0.0735878 | + | 0.127458i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.00000 | − | 6.92820i | −0.169638 | − | 0.293821i | ||||
\(557\) | 36.3731 | 1.54118 | 0.770588 | − | 0.637333i | \(-0.219963\pi\) | ||||
0.770588 | + | 0.637333i | \(0.219963\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.00000 | −0.0845910 | ||||||||
\(560\) | −8.66025 | − | 15.0000i | −0.365963 | − | 0.633866i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −10.5000 | + | 18.1865i | −0.442916 | + | 0.767153i | ||||
\(563\) | −17.3205 | + | 30.0000i | −0.729972 | + | 1.26435i | 0.226922 | + | 0.973913i | \(0.427134\pi\) |
−0.956894 | + | 0.290436i | \(0.906200\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.50000 | − | 2.59808i | −0.0631055 | − | 0.109302i | ||||
\(566\) | −48.4974 | −2.03850 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 18.0000 | 0.755263 | ||||||||
\(569\) | −16.4545 | − | 28.5000i | −0.689808 | − | 1.19478i | −0.971900 | − | 0.235395i | \(-0.924362\pi\) |
0.282092 | − | 0.959387i | \(-0.408972\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.00000 | + | 6.92820i | −0.167395 | + | 0.289936i | −0.937503 | − | 0.347977i | \(-0.886869\pi\) |
0.770108 | + | 0.637913i | \(0.220202\pi\) | |||||||
\(572\) | −1.73205 | + | 3.00000i | −0.0724207 | + | 0.125436i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 12.0000 | + | 20.7846i | 0.500870 | + | 0.867533i | ||||
\(575\) | −6.92820 | −0.288926 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.0000 | 0.457936 | 0.228968 | − | 0.973434i | \(-0.426465\pi\) | ||||
0.228968 | + | 0.973434i | \(0.426465\pi\) | |||||||
\(578\) | −8.66025 | − | 15.0000i | −0.360219 | − | 0.623918i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.50000 | − | 2.59808i | 0.0622841 | − | 0.107879i | ||||
\(581\) | 13.8564 | − | 24.0000i | 0.574861 | − | 0.995688i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 12.1244 | 0.501709 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 33.0000 | 1.36322 | ||||||||
\(587\) | −19.0526 | − | 33.0000i | −0.786383 | − | 1.36206i | −0.928169 | − | 0.372158i | \(-0.878618\pi\) |
0.141786 | − | 0.989897i | \(-0.454716\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.00000 | + | 13.8564i | −0.329634 | + | 0.570943i | ||||
\(590\) | 20.7846 | − | 36.0000i | 0.855689 | − | 1.48210i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −17.5000 | − | 30.3109i | −0.719246 | − | 1.24577i | ||||
\(593\) | 15.5885 | 0.640141 | 0.320071 | − | 0.947394i | \(-0.396293\pi\) | ||||
0.320071 | + | 0.947394i | \(0.396293\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −18.0000 | −0.737928 | ||||||||
\(596\) | −4.33013 | − | 7.50000i | −0.177369 | − | 0.307212i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.00000 | − | 5.19615i | 0.122679 | − | 0.212486i | ||||
\(599\) | −6.92820 | + | 12.0000i | −0.283079 | + | 0.490307i | −0.972141 | − | 0.234395i | \(-0.924689\pi\) |
0.689063 | + | 0.724702i | \(0.258022\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.5000 | + | 21.6506i | 0.509886 | + | 0.883148i | 0.999934 | + | 0.0114528i | \(0.00364562\pi\) |
−0.490049 | + | 0.871695i | \(0.663021\pi\) | |||||||
\(602\) | 6.92820 | 0.282372 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 20.0000 | 0.813788 | ||||||||
\(605\) | 0.866025 | + | 1.50000i | 0.0352089 | + | 0.0609837i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −13.0000 | + | 22.5167i | −0.527654 | + | 0.913923i | 0.471827 | + | 0.881691i | \(0.343595\pi\) |
−0.999480 | + | 0.0322317i | \(0.989739\pi\) | |||||||
\(608\) | 5.19615 | − | 9.00000i | 0.210732 | − | 0.364998i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −10.5000 | − | 18.1865i | −0.425133 | − | 0.736351i | ||||
\(611\) | −6.92820 | −0.280285 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −34.0000 | −1.37325 | −0.686624 | − | 0.727013i | \(-0.740908\pi\) | ||||
−0.686624 | + | 0.727013i | \(0.740908\pi\) | |||||||
\(614\) | 13.8564 | + | 24.0000i | 0.559199 | + | 0.968561i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −6.00000 | + | 10.3923i | −0.241747 | + | 0.418718i | ||||
\(617\) | 6.06218 | − | 10.5000i | 0.244054 | − | 0.422714i | −0.717811 | − | 0.696238i | \(-0.754856\pi\) |
0.961865 | + | 0.273524i | \(0.0881892\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −10.0000 | − | 17.3205i | −0.401934 | − | 0.696170i | 0.592025 | − | 0.805919i | \(-0.298329\pi\) |
−0.993959 | + | 0.109749i | \(0.964995\pi\) | |||||||
\(620\) | −13.8564 | −0.556487 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −12.0000 | −0.481156 | ||||||||
\(623\) | 5.19615 | + | 9.00000i | 0.208179 | + | 0.360577i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 5.50000 | − | 9.52628i | 0.220000 | − | 0.381051i | ||||
\(626\) | 21.6506 | − | 37.5000i | 0.865333 | − | 1.49880i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −8.50000 | − | 14.7224i | −0.339187 | − | 0.587489i | ||||
\(629\) | −36.3731 | −1.45029 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 20.0000 | 0.796187 | 0.398094 | − | 0.917345i | \(-0.369672\pi\) | ||||
0.398094 | + | 0.917345i | \(0.369672\pi\) | |||||||
\(632\) | 1.73205 | + | 3.00000i | 0.0688973 | + | 0.119334i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 7.50000 | − | 12.9904i | 0.297863 | − | 0.515914i | ||||
\(635\) | 1.73205 | − | 3.00000i | 0.0687343 | − | 0.119051i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.50000 | − | 2.59808i | −0.0594322 | − | 0.102940i | ||||
\(638\) | −10.3923 | −0.411435 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −21.0000 | −0.830098 | ||||||||
\(641\) | −11.2583 | − | 19.5000i | −0.444677 | − | 0.770204i | 0.553352 | − | 0.832947i | \(-0.313348\pi\) |
−0.998030 | + | 0.0627436i | \(0.980015\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.00000 | + | 6.92820i | −0.157745 | + | 0.273222i | −0.934055 | − | 0.357129i | \(-0.883756\pi\) |
0.776310 | + | 0.630351i | \(0.217089\pi\) | |||||||
\(644\) | −3.46410 | + | 6.00000i | −0.136505 | + | 0.236433i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.00000 | − | 15.5885i | −0.354100 | − | 0.613320i | ||||
\(647\) | −31.1769 | −1.22569 | −0.612845 | − | 0.790203i | \(-0.709975\pi\) | ||||
−0.612845 | + | 0.790203i | \(0.709975\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −48.0000 | −1.88416 | ||||||||
\(650\) | −1.73205 | − | 3.00000i | −0.0679366 | − | 0.117670i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 8.00000 | − | 13.8564i | 0.313304 | − | 0.542659i | ||||
\(653\) | −6.92820 | + | 12.0000i | −0.271122 | + | 0.469596i | −0.969149 | − | 0.246474i | \(-0.920728\pi\) |
0.698028 | + | 0.716071i | \(0.254061\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.00000 | + | 5.19615i | 0.117220 | + | 0.203030i | ||||
\(656\) | 34.6410 | 1.35250 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 24.0000 | 0.935617 | ||||||||
\(659\) | 1.73205 | + | 3.00000i | 0.0674711 | + | 0.116863i | 0.897787 | − | 0.440429i | \(-0.145174\pi\) |
−0.830316 | + | 0.557292i | \(0.811840\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.50000 | + | 14.7224i | −0.330612 | + | 0.572636i | −0.982632 | − | 0.185565i | \(-0.940588\pi\) |
0.652020 | + | 0.758202i | \(0.273922\pi\) | |||||||
\(662\) | −1.73205 | + | 3.00000i | −0.0673181 | + | 0.116598i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −12.0000 | − | 20.7846i | −0.465690 | − | 0.806599i | ||||
\(665\) | −6.92820 | −0.268664 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.00000 | 0.232321 | ||||||||
\(668\) | 8.66025 | + | 15.0000i | 0.335075 | + | 0.580367i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −15.0000 | + | 25.9808i | −0.579501 | + | 1.00372i | ||||
\(671\) | −12.1244 | + | 21.0000i | −0.468056 | + | 0.810696i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.5000 | + | 21.6506i | 0.481840 | + | 0.834571i | 0.999783 | − | 0.0208444i | \(-0.00663546\pi\) |
−0.517943 | + | 0.855415i | \(0.673302\pi\) | |||||||
\(674\) | 45.0333 | 1.73462 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.0000 | −0.461538 | ||||||||
\(677\) | 6.92820 | + | 12.0000i | 0.266272 | + | 0.461197i | 0.967896 | − | 0.251350i | \(-0.0808746\pi\) |
−0.701624 | + | 0.712548i | \(0.747541\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.00000 | + | 3.46410i | −0.0767530 | + | 0.132940i | ||||
\(680\) | −7.79423 | + | 13.5000i | −0.298895 | + | 0.517701i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 24.0000 | + | 41.5692i | 0.919007 | + | 1.59177i | ||||
\(683\) | −20.7846 | −0.795301 | −0.397650 | − | 0.917537i | \(-0.630174\pi\) | ||||
−0.397650 | + | 0.917537i | \(0.630174\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.00000 | −0.114624 | ||||||||
\(686\) | 17.3205 | + | 30.0000i | 0.661300 | + | 1.14541i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 5.00000 | − | 8.66025i | 0.190623 | − | 0.330169i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.00000 | − | 1.73205i | −0.0380418 | − | 0.0658903i | 0.846378 | − | 0.532583i | \(-0.178779\pi\) |
−0.884419 | + | 0.466693i | \(0.845445\pi\) | |||||||
\(692\) | −19.0526 | −0.724270 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 6.00000 | 0.227757 | ||||||||
\(695\) | 6.92820 | + | 12.0000i | 0.262802 | + | 0.455186i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.0000 | − | 31.1769i | 0.681799 | − | 1.18091i | ||||
\(698\) | −1.73205 | + | 3.00000i | −0.0655591 | + | 0.113552i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.00000 | + | 3.46410i | 0.0755929 | + | 0.130931i | ||||
\(701\) | 46.7654 | 1.76630 | 0.883152 | − | 0.469087i | \(-0.155417\pi\) | ||||
0.883152 | + | 0.469087i | \(0.155417\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −14.0000 | −0.528020 | ||||||||
\(704\) | 1.73205 | + | 3.00000i | 0.0652791 | + | 0.113067i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 12.0000 | − | 20.7846i | 0.451626 | − | 0.782239i | ||||
\(707\) | −6.92820 | + | 12.0000i | −0.260562 | + | 0.451306i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.5000 | + | 21.6506i | 0.469447 | + | 0.813107i | 0.999390 | − | 0.0349269i | \(-0.0111198\pi\) |
−0.529943 | + | 0.848034i | \(0.677787\pi\) | |||||||
\(710\) | 31.1769 | 1.17005 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.00000 | 0.337289 | ||||||||
\(713\) | −13.8564 | − | 24.0000i | −0.518927 | − | 0.898807i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.00000 | − | 5.19615i | 0.112194 | − | 0.194325i | ||||
\(716\) | −10.3923 | + | 18.0000i | −0.388379 | + | 0.672692i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.00000 | − | 15.5885i | −0.335877 | − | 0.581756i | ||||
\(719\) | −10.3923 | −0.387568 | −0.193784 | − | 0.981044i | \(-0.562076\pi\) | ||||
−0.193784 | + | 0.981044i | \(0.562076\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 16.0000 | 0.595871 | ||||||||
\(722\) | 12.9904 | + | 22.5000i | 0.483452 | + | 0.837363i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.00000 | + | 1.73205i | −0.0371647 | + | 0.0643712i | ||||
\(725\) | 1.73205 | − | 3.00000i | 0.0643268 | − | 0.111417i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 17.0000 | + | 29.4449i | 0.630495 | + | 1.09205i | 0.987451 | + | 0.157928i | \(0.0504814\pi\) |
−0.356956 | + | 0.934121i | \(0.616185\pi\) | |||||||
\(728\) | 3.46410 | 0.128388 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 21.0000 | 0.777245 | ||||||||
\(731\) | −5.19615 | − | 9.00000i | −0.192187 | − | 0.332877i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 23.0000 | − | 39.8372i | 0.849524 | − | 1.47142i | −0.0321090 | − | 0.999484i | \(-0.510222\pi\) |
0.881633 | − | 0.471935i | \(-0.156444\pi\) | |||||||
\(734\) | −17.3205 | + | 30.0000i | −0.639312 | + | 1.10732i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 9.00000 | + | 15.5885i | 0.331744 | + | 0.574598i | ||||
\(737\) | 34.6410 | 1.27602 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 20.0000 | 0.735712 | 0.367856 | − | 0.929883i | \(-0.380092\pi\) | ||||
0.367856 | + | 0.929883i | \(0.380092\pi\) | |||||||
\(740\) | −6.06218 | − | 10.5000i | −0.222850 | − | 0.385988i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 3.46410 | − | 6.00000i | 0.127086 | − | 0.220119i | −0.795461 | − | 0.606005i | \(-0.792771\pi\) |
0.922546 | + | 0.385887i | \(0.126104\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 7.50000 | + | 12.9904i | 0.274779 | + | 0.475931i | ||||
\(746\) | −17.3205 | −0.634149 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −18.0000 | −0.658145 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.00000 | − | 8.66025i | 0.182453 | − | 0.316017i | −0.760263 | − | 0.649616i | \(-0.774930\pi\) |
0.942715 | + | 0.333599i | \(0.108263\pi\) | |||||||
\(752\) | 17.3205 | − | 30.0000i | 0.631614 | − | 1.09399i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.50000 | + | 2.59808i | 0.0546268 | + | 0.0946164i | ||||
\(755\) | −34.6410 | −1.26072 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.00000 | 0.0726912 | 0.0363456 | − | 0.999339i | \(-0.488428\pi\) | ||||
0.0363456 | + | 0.999339i | \(0.488428\pi\) | |||||||
\(758\) | 13.8564 | + | 24.0000i | 0.503287 | + | 0.871719i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.00000 | + | 5.19615i | −0.108821 | + | 0.188484i | ||||
\(761\) | −14.7224 | + | 25.5000i | −0.533688 | + | 0.924374i | 0.465538 | + | 0.885028i | \(0.345861\pi\) |
−0.999226 | + | 0.0393463i | \(0.987472\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −11.0000 | − | 19.0526i | −0.398227 | − | 0.689749i | ||||
\(764\) | 17.3205 | 0.626634 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −30.0000 | −1.08394 | ||||||||
\(767\) | 6.92820 | + | 12.0000i | 0.250163 | + | 0.433295i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.500000 | − | 0.866025i | 0.0180305 | − | 0.0312297i | −0.856869 | − | 0.515534i | \(-0.827594\pi\) |
0.874900 | + | 0.484304i | \(0.160927\pi\) | |||||||
\(770\) | −10.3923 | + | 18.0000i | −0.374513 | + | 0.648675i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.500000 | + | 0.866025i | 0.0179954 | + | 0.0311689i | ||||
\(773\) | −25.9808 | −0.934463 | −0.467232 | − | 0.884135i | \(-0.654749\pi\) | ||||
−0.467232 | + | 0.884135i | \(0.654749\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −16.0000 | −0.574737 | ||||||||
\(776\) | 1.73205 | + | 3.00000i | 0.0621770 | + | 0.107694i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −24.0000 | + | 41.5692i | −0.860442 | + | 1.49033i | ||||
\(779\) | 6.92820 | − | 12.0000i | 0.248229 | − | 0.429945i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −18.0000 | − | 31.1769i | −0.644091 | − | 1.11560i | ||||
\(782\) | 31.1769 | 1.11488 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 15.0000 | 0.535714 | ||||||||
\(785\) | 14.7224 | + | 25.5000i | 0.525466 | + | 0.910134i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −13.0000 | + | 22.5167i | −0.463400 | + | 0.802632i | −0.999128 | − | 0.0417585i | \(-0.986704\pi\) |
0.535728 | + | 0.844391i | \(0.320037\pi\) | |||||||
\(788\) | 2.59808 | − | 4.50000i | 0.0925526 | − | 0.160306i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.00000 | + | 5.19615i | 0.106735 | + | 0.184871i | ||||
\(791\) | −3.46410 | −0.123169 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 7.00000 | 0.248577 | ||||||||
\(794\) | −25.1147 | − | 43.5000i | −0.891289 | − | 1.54376i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −10.0000 | + | 17.3205i | −0.354441 | + | 0.613909i | ||||
\(797\) | 26.8468 | − | 46.5000i | 0.950962 | − | 1.64711i | 0.207613 | − | 0.978211i | \(-0.433431\pi\) |
0.743349 | − | 0.668903i | \(-0.233236\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −18.0000 | − | 31.1769i | −0.636794 | − | 1.10296i | ||||
\(800\) | 10.3923 | 0.367423 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −21.0000 | −0.741536 | ||||||||
\(803\) | −12.1244 | − | 21.0000i | −0.427859 | − | 0.741074i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.00000 | − | 10.3923i | 0.211472 | − | 0.366281i | ||||
\(806\) | 6.92820 | − | 12.0000i | 0.244036 | − | 0.422682i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.00000 | + | 10.3923i | 0.211079 | + | 0.365600i | ||||
\(809\) | −46.7654 | −1.64418 | −0.822091 | − | 0.569355i | \(-0.807193\pi\) | ||||
−0.822091 | + | 0.569355i | \(0.807193\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −16.0000 | −0.561836 | −0.280918 | − | 0.959732i | \(-0.590639\pi\) | ||||
−0.280918 | + | 0.959732i | \(0.590639\pi\) | |||||||
\(812\) | −1.73205 | − | 3.00000i | −0.0607831 | − | 0.105279i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −21.0000 | + | 36.3731i | −0.736050 | + | 1.27488i | ||||
\(815\) | −13.8564 | + | 24.0000i | −0.485369 | + | 0.840683i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.00000 | − | 3.46410i | −0.0699711 | − | 0.121194i | ||||
\(818\) | −32.9090 | −1.15063 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 12.0000 | 0.419058 | ||||||||
\(821\) | −6.06218 | − | 10.5000i | −0.211571 | − | 0.366453i | 0.740635 | − | 0.671908i | \(-0.234525\pi\) |
−0.952207 | + | 0.305455i | \(0.901191\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 14.0000 | − | 24.2487i | 0.488009 | − | 0.845257i | −0.511896 | − | 0.859048i | \(-0.671057\pi\) |
0.999905 | + | 0.0137907i | \(0.00438987\pi\) | |||||||
\(824\) | 6.92820 | − | 12.0000i | 0.241355 | − | 0.418040i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −24.0000 | − | 41.5692i | −0.835067 | − | 1.44638i | ||||
\(827\) | −10.3923 | −0.361376 | −0.180688 | − | 0.983540i | \(-0.557832\pi\) | ||||
−0.180688 | + | 0.983540i | \(0.557832\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.00000 | 0.0694629 | 0.0347314 | − | 0.999397i | \(-0.488942\pi\) | ||||
0.0347314 | + | 0.999397i | \(0.488942\pi\) | |||||||
\(830\) | −20.7846 | − | 36.0000i | −0.721444 | − | 1.24958i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.500000 | − | 0.866025i | 0.0173344 | − | 0.0300240i | ||||
\(833\) | 7.79423 | − | 13.5000i | 0.270054 | − | 0.467747i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −15.0000 | − | 25.9808i | −0.519096 | − | 0.899101i | ||||
\(836\) | −6.92820 | −0.239617 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −12.0000 | −0.414533 | ||||||||
\(839\) | 22.5167 | + | 39.0000i | 0.777361 | + | 1.34643i | 0.933458 | + | 0.358688i | \(0.116776\pi\) |
−0.156096 | + | 0.987742i | \(0.549891\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.0000 | − | 22.5167i | 0.448276 | − | 0.776437i | ||||
\(842\) | 21.6506 | − | 37.5000i | 0.746130 | − | 1.29234i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 5.00000 | + | 8.66025i | 0.172107 | + | 0.298098i | ||||
\(845\) | 20.7846 | 0.715012 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.00000 | 0.0687208 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 9.00000 | − | 15.5885i | 0.308697 | − | 0.534680i | ||||
\(851\) | 12.1244 | − | 21.0000i | 0.415618 | − | 0.719871i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 17.0000 | + | 29.4449i | 0.582069 | + | 1.00817i | 0.995234 | + | 0.0975167i | \(0.0310899\pi\) |
−0.413165 | + | 0.910656i | \(0.635577\pi\) | |||||||
\(854\) | −24.2487 | −0.829774 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −11.2583 | − | 19.5000i | −0.384577 | − | 0.666107i | 0.607133 | − | 0.794600i | \(-0.292319\pi\) |
−0.991710 | + | 0.128493i | \(0.958986\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −22.0000 | + | 38.1051i | −0.750630 | + | 1.30013i | 0.196887 | + | 0.980426i | \(0.436917\pi\) |
−0.947518 | + | 0.319704i | \(0.896417\pi\) | |||||||
\(860\) | 1.73205 | − | 3.00000i | 0.0590624 | − | 0.102299i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 31.1769 | 1.06127 | 0.530637 | − | 0.847599i | \(-0.321953\pi\) | ||||
0.530637 | + | 0.847599i | \(0.321953\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 33.0000 | 1.12203 | ||||||||
\(866\) | −9.52628 | − | 16.5000i | −0.323716 | − | 0.560693i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −8.00000 | + | 13.8564i | −0.271538 | + | 0.470317i | ||||
\(869\) | 3.46410 | − | 6.00000i | 0.117512 | − | 0.203536i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.00000 | − | 8.66025i | −0.169419 | − | 0.293442i | ||||
\(872\) | −19.0526 | −0.645201 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 12.0000 | 0.405906 | ||||||||
\(875\) | −12.1244 | − | 21.0000i | −0.409878 | − | 0.709930i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −26.5000 | + | 45.8993i | −0.894841 | + | 1.54991i | −0.0608407 | + | 0.998147i | \(0.519378\pi\) |
−0.834001 | + | 0.551763i | \(0.813955\pi\) | |||||||
\(878\) | −17.3205 | + | 30.0000i | −0.584539 | + | 1.01245i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 15.0000 | + | 25.9808i | 0.505650 | + | 0.875811i | ||||
\(881\) | 20.7846 | 0.700251 | 0.350126 | − | 0.936703i | \(-0.386139\pi\) | ||||
0.350126 | + | 0.936703i | \(0.386139\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 56.0000 | 1.88455 | 0.942275 | − | 0.334840i | \(-0.108682\pi\) | ||||
0.942275 | + | 0.334840i | \(0.108682\pi\) | |||||||
\(884\) | 2.59808 | + | 4.50000i | 0.0873828 | + | 0.151351i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 30.0000 | − | 51.9615i | 1.00787 | − | 1.74568i | ||||
\(887\) | −1.73205 | + | 3.00000i | −0.0581566 | + | 0.100730i | −0.893638 | − | 0.448789i | \(-0.851856\pi\) |
0.835481 | + | 0.549519i | \(0.185189\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.00000 | − | 3.46410i | −0.0670778 | − | 0.116182i | ||||
\(890\) | 15.5885 | 0.522526 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.00000 | 0.0669650 | ||||||||
\(893\) | −6.92820 | − | 12.0000i | −0.231843 | − | 0.401565i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 18.0000 | − | 31.1769i | 0.601674 | − | 1.04213i | ||||
\(896\) | −12.1244 | + | 21.0000i | −0.405046 | + | 0.701561i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −18.0000 | − | 31.1769i | −0.600668 | − | 1.04039i | ||||
\(899\) | 13.8564 | 0.462137 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −20.7846 | − | 36.0000i | −0.692052 | − | 1.19867i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.50000 | + | 2.59808i | −0.0498893 | + | 0.0864107i | ||||
\(905\) | 1.73205 | − | 3.00000i | 0.0575753 | − | 0.0997234i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 26.0000 | + | 45.0333i | 0.863316 | + | 1.49531i | 0.868710 | + | 0.495321i | \(0.164950\pi\) |
−0.00539395 | + | 0.999985i | \(0.501717\pi\) | |||||||
\(908\) | −3.46410 | −0.114960 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 6.00000 | 0.198898 | ||||||||
\(911\) | 12.1244 | + | 21.0000i | 0.401698 | + | 0.695761i | 0.993931 | − | 0.110006i | \(-0.0350869\pi\) |
−0.592233 | + | 0.805767i | \(0.701754\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −24.0000 | + | 41.5692i | −0.794284 | + | 1.37574i | ||||
\(914\) | −25.1147 | + | 43.5000i | −0.830722 | + | 1.43885i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.500000 | + | 0.866025i | 0.0165205 | + | 0.0286143i | ||||
\(917\) | 6.92820 | 0.228789 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.00000 | 0.0659739 | 0.0329870 | − | 0.999456i | \(-0.489498\pi\) | ||||
0.0329870 | + | 0.999456i | \(0.489498\pi\) | |||||||
\(920\) | −5.19615 | − | 9.00000i | −0.171312 | − | 0.296721i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 12.0000 | − | 20.7846i | 0.395199 | − | 0.684505i | ||||
\(923\) | −5.19615 | + | 9.00000i | −0.171033 | + | 0.296239i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −7.00000 | − | 12.1244i | −0.230159 | − | 0.398646i | ||||
\(926\) | 13.8564 | 0.455350 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −9.00000 | −0.295439 | ||||||||
\(929\) | 25.1147 | + | 43.5000i | 0.823988 | + | 1.42719i | 0.902690 | + | 0.430291i | \(0.141589\pi\) |
−0.0787027 | + | 0.996898i | \(0.525078\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.00000 | − | 5.19615i | 0.0983210 | − | 0.170297i | ||||
\(932\) | 12.9904 | − | 22.5000i | 0.425514 | − | 0.737012i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 18.0000 | + | 31.1769i | 0.588978 | + | 1.02014i | ||||
\(935\) | 31.1769 | 1.01959 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −25.0000 | −0.816714 | −0.408357 | − | 0.912822i | \(-0.633898\pi\) | ||||
−0.408357 | + | 0.912822i | \(0.633898\pi\) | |||||||
\(938\) | 17.3205 | + | 30.0000i | 0.565535 | + | 0.979535i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 6.00000 | − | 10.3923i | 0.195698 | − | 0.338960i | ||||
\(941\) | −25.1147 | + | 43.5000i | −0.818717 | + | 1.41806i | 0.0879109 | + | 0.996128i | \(0.471981\pi\) |
−0.906628 | + | 0.421931i | \(0.861352\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 12.0000 | + | 20.7846i | 0.390774 | + | 0.676840i | ||||
\(944\) | −69.2820 | −2.25494 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −12.0000 | −0.390154 | ||||||||
\(947\) | −8.66025 | − | 15.0000i | −0.281420 | − | 0.487435i | 0.690314 | − | 0.723510i | \(-0.257472\pi\) |
−0.971735 | + | 0.236075i | \(0.924139\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.50000 | + | 6.06218i | −0.113615 | + | 0.196787i | ||||
\(950\) | 3.46410 | − | 6.00000i | 0.112390 | − | 0.194666i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 9.00000 | + | 15.5885i | 0.291692 | + | 0.505225i | ||||
\(953\) | −5.19615 | −0.168320 | −0.0841599 | − | 0.996452i | \(-0.526821\pi\) | ||||
−0.0841599 | + | 0.996452i | \(0.526821\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −30.0000 | −0.970777 | ||||||||
\(956\) | 13.8564 | + | 24.0000i | 0.448148 | + | 0.776215i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 21.0000 | − | 36.3731i | 0.678479 | − | 1.17516i | ||||
\(959\) | −1.73205 | + | 3.00000i | −0.0559308 | + | 0.0968751i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −16.5000 | − | 28.5788i | −0.532258 | − | 0.921898i | ||||
\(962\) | 12.1244 | 0.390905 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 29.0000 | 0.934027 | ||||||||
\(965\) | −0.866025 | − | 1.50000i | −0.0278783 | − | 0.0482867i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 23.0000 | − | 39.8372i | 0.739630 | − | 1.28108i | −0.213032 | − | 0.977045i | \(-0.568334\pi\) |
0.952662 | − | 0.304032i | \(-0.0983329\pi\) | |||||||
\(968\) | 0.866025 | − | 1.50000i | 0.0278351 | − | 0.0482118i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 3.00000 | + | 5.19615i | 0.0963242 | + | 0.166838i | ||||
\(971\) | 31.1769 | 1.00051 | 0.500257 | − | 0.865877i | \(-0.333239\pi\) | ||||
0.500257 | + | 0.865877i | \(0.333239\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 16.0000 | 0.512936 | ||||||||
\(974\) | 13.8564 | + | 24.0000i | 0.443988 | + | 0.769010i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −17.5000 | + | 30.3109i | −0.560161 | + | 0.970228i | ||||
\(977\) | 24.2487 | − | 42.0000i | 0.775785 | − | 1.34370i | −0.158567 | − | 0.987348i | \(-0.550687\pi\) |
0.934352 | − | 0.356351i | \(-0.115979\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −9.00000 | − | 15.5885i | −0.287641 | − | 0.498209i | ||||
\(980\) | 5.19615 | 0.165985 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −30.0000 | −0.957338 | ||||||||
\(983\) | 17.3205 | + | 30.0000i | 0.552438 | + | 0.956851i | 0.998098 | + | 0.0616488i | \(0.0196359\pi\) |
−0.445659 | + | 0.895203i | \(0.647031\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.50000 | + | 7.79423i | −0.143382 | + | 0.248345i | ||||
\(986\) | −7.79423 | + | 13.5000i | −0.248219 | + | 0.429928i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.00000 | + | 1.73205i | 0.0318142 | + | 0.0551039i | ||||
\(989\) | 6.92820 | 0.220304 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −34.0000 | −1.08005 | −0.540023 | − | 0.841650i | \(-0.681584\pi\) | ||||
−0.540023 | + | 0.841650i | \(0.681584\pi\) | |||||||
\(992\) | 20.7846 | + | 36.0000i | 0.659912 | + | 1.14300i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 18.0000 | − | 31.1769i | 0.570925 | − | 0.988872i | ||||
\(995\) | 17.3205 | − | 30.0000i | 0.549097 | − | 0.951064i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 3.50000 | + | 6.06218i | 0.110846 | + | 0.191991i | 0.916112 | − | 0.400923i | \(-0.131311\pi\) |
−0.805266 | + | 0.592914i | \(0.797977\pi\) | |||||||
\(998\) | −17.3205 | −0.548271 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))