Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,2,Mod(59,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.m (of order \(2\), degree \(1\), 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: | \(0.958204824255\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 24x^{14} + 192x^{12} + 672x^{10} + 1092x^{8} + 880x^{6} + 352x^{4} + 64x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{13} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 59.3 | ||
Root | \(-1.05636i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 120.59 |
Dual form | 120.2.m.b.59.2 |
$q$-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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30656 | + | 0.541196i | −0.923880 | + | 0.382683i | ||||
\(3\) | 0.541196 | − | 1.64533i | 0.312460 | − | 0.949931i | ||||
\(4\) | 1.41421 | − | 1.41421i | 0.707107 | − | 0.707107i | ||||
\(5\) | −1.25928 | − | 1.84776i | −0.563167 | − | 0.826343i | ||||
\(6\) | 0.183339 | + | 2.44262i | 0.0748477 | + | 0.997195i | ||||
\(7\) | −3.29066 | −1.24375 | −0.621876 | − | 0.783116i | \(-0.713629\pi\) | ||||
−0.621876 | + | 0.783116i | \(0.713629\pi\) | |||||||
\(8\) | −1.08239 | + | 2.61313i | −0.382683 | + | 0.923880i | ||||
\(9\) | −2.41421 | − | 1.78089i | −0.804738 | − | 0.593630i | ||||
\(10\) | 2.64533 | + | 1.73270i | 0.836526 | + | 0.547927i | ||||
\(11\) | − | 2.51856i | − | 0.759374i | −0.925115 | − | 0.379687i | \(-0.876032\pi\) | ||
0.925115 | − | 0.379687i | \(-0.123968\pi\) | |||||||
\(12\) | −1.56148 | − | 3.09221i | −0.450760 | − | 0.892645i | ||||
\(13\) | 4.65369 | 1.29070 | 0.645351 | − | 0.763886i | \(-0.276711\pi\) | ||||
0.645351 | + | 0.763886i | \(0.276711\pi\) | |||||||
\(14\) | 4.29945 | − | 1.78089i | 1.14908 | − | 0.475963i | ||||
\(15\) | −3.72169 | + | 1.07193i | −0.960936 | + | 0.276771i | ||||
\(16\) | − | 4.00000i | − | 1.00000i | ||||||
\(17\) | 3.69552 | 0.896295 | 0.448147 | − | 0.893960i | \(-0.352084\pi\) | ||||
0.448147 | + | 0.893960i | \(0.352084\pi\) | |||||||
\(18\) | 4.11813 | + | 1.02028i | 0.970653 | + | 0.240483i | ||||
\(19\) | 0.828427 | 0.190054 | 0.0950271 | − | 0.995475i | \(-0.469706\pi\) | ||||
0.0950271 | + | 0.995475i | \(0.469706\pi\) | |||||||
\(20\) | −4.39402 | − | 0.832235i | −0.982532 | − | 0.186093i | ||||
\(21\) | −1.78089 | + | 5.41421i | −0.388622 | + | 1.18148i | ||||
\(22\) | 1.36303 | + | 3.29066i | 0.290600 | + | 0.701571i | ||||
\(23\) | − | 2.61313i | − | 0.544874i | −0.962174 | − | 0.272437i | \(-0.912170\pi\) | ||
0.962174 | − | 0.272437i | \(-0.0878297\pi\) | |||||||
\(24\) | 3.71366 | + | 3.19510i | 0.758049 | + | 0.652198i | ||||
\(25\) | −1.82843 | + | 4.65369i | −0.365685 | + | 0.930739i | ||||
\(26\) | −6.08034 | + | 2.51856i | −1.19245 | + | 0.493930i | ||||
\(27\) | −4.23671 | + | 3.00836i | −0.815356 | + | 0.578960i | ||||
\(28\) | −4.65369 | + | 4.65369i | −0.879465 | + | 0.879465i | ||||
\(29\) | 6.08034 | 1.12909 | 0.564546 | − | 0.825402i | \(-0.309051\pi\) | ||||
0.564546 | + | 0.825402i | \(0.309051\pi\) | |||||||
\(30\) | 4.28250 | − | 3.41471i | 0.781873 | − | 0.623437i | ||||
\(31\) | − | 1.17157i | − | 0.210421i | −0.994450 | − | 0.105210i | \(-0.966448\pi\) | ||
0.994450 | − | 0.105210i | \(-0.0335516\pi\) | |||||||
\(32\) | 2.16478 | + | 5.22625i | 0.382683 | + | 0.923880i | ||||
\(33\) | −4.14386 | − | 1.36303i | −0.721353 | − | 0.237274i | ||||
\(34\) | −4.82843 | + | 2.00000i | −0.828068 | + | 0.342997i | ||||
\(35\) | 4.14386 | + | 6.08034i | 0.700440 | + | 1.02777i | ||||
\(36\) | −5.93277 | + | 0.895653i | −0.988796 | + | 0.149276i | ||||
\(37\) | 1.92762 | 0.316899 | 0.158450 | − | 0.987367i | \(-0.449350\pi\) | ||||
0.158450 | + | 0.987367i | \(0.449350\pi\) | |||||||
\(38\) | −1.08239 | + | 0.448342i | −0.175587 | + | 0.0727306i | ||||
\(39\) | 2.51856 | − | 7.65685i | 0.403292 | − | 1.22608i | ||||
\(40\) | 6.19146 | − | 1.29066i | 0.978956 | − | 0.204071i | ||||
\(41\) | 8.59890i | 1.34292i | 0.741039 | + | 0.671461i | \(0.234333\pi\) | ||||
−0.741039 | + | 0.671461i | \(0.765667\pi\) | |||||||
\(42\) | −0.603305 | − | 8.03782i | −0.0930920 | − | 1.24026i | ||||
\(43\) | − | 6.01673i | − | 0.917542i | −0.888554 | − | 0.458771i | \(-0.848290\pi\) | ||
0.888554 | − | 0.458771i | \(-0.151710\pi\) | |||||||
\(44\) | −3.56178 | − | 3.56178i | −0.536959 | − | 0.536959i | ||||
\(45\) | −0.250486 | + | 6.70353i | −0.0373403 | + | 0.999303i | ||||
\(46\) | 1.41421 | + | 3.41421i | 0.208514 | + | 0.503398i | ||||
\(47\) | 2.61313i | 0.381164i | 0.981671 | + | 0.190582i | \(0.0610374\pi\) | ||||
−0.981671 | + | 0.190582i | \(0.938963\pi\) | |||||||
\(48\) | −6.58132 | − | 2.16478i | −0.949931 | − | 0.312460i | ||||
\(49\) | 3.82843 | 0.546918 | ||||||||
\(50\) | −0.129605 | − | 7.06988i | −0.0183289 | − | 0.999832i | ||||
\(51\) | 2.00000 | − | 6.08034i | 0.280056 | − | 0.851418i | ||||
\(52\) | 6.58132 | − | 6.58132i | 0.912664 | − | 0.912664i | ||||
\(53\) | − | 4.59220i | − | 0.630787i | −0.948961 | − | 0.315394i | \(-0.897863\pi\) | ||
0.948961 | − | 0.315394i | \(-0.102137\pi\) | |||||||
\(54\) | 3.90742 | − | 6.22351i | 0.531732 | − | 0.846912i | ||||
\(55\) | −4.65369 | + | 3.17157i | −0.627504 | + | 0.427655i | ||||
\(56\) | 3.56178 | − | 8.59890i | 0.475963 | − | 1.14908i | ||||
\(57\) | 0.448342 | − | 1.36303i | 0.0593843 | − | 0.180538i | ||||
\(58\) | −7.94435 | + | 3.29066i | −1.04314 | + | 0.432085i | ||||
\(59\) | 2.51856i | 0.327889i | 0.986470 | + | 0.163944i | \(0.0524217\pi\) | ||||
−0.986470 | + | 0.163944i | \(0.947578\pi\) | |||||||
\(60\) | −3.74732 | + | 6.77920i | −0.483778 | + | 0.875191i | ||||
\(61\) | − | 8.48528i | − | 1.08643i | −0.839594 | − | 0.543214i | \(-0.817207\pi\) | ||
0.839594 | − | 0.543214i | \(-0.182793\pi\) | |||||||
\(62\) | 0.634051 | + | 1.53073i | 0.0805245 | + | 0.194403i | ||||
\(63\) | 7.94435 | + | 5.86030i | 1.00089 | + | 0.738329i | ||||
\(64\) | −5.65685 | − | 5.65685i | −0.707107 | − | 0.707107i | ||||
\(65\) | −5.86030 | − | 8.59890i | −0.726881 | − | 1.06656i | ||||
\(66\) | 6.15188 | − | 0.461750i | 0.757244 | − | 0.0568375i | ||||
\(67\) | 3.29066i | 0.402018i | 0.979589 | + | 0.201009i | \(0.0644220\pi\) | ||||
−0.979589 | + | 0.201009i | \(0.935578\pi\) | |||||||
\(68\) | 5.22625 | − | 5.22625i | 0.633776 | − | 0.633776i | ||||
\(69\) | −4.29945 | − | 1.41421i | −0.517593 | − | 0.170251i | ||||
\(70\) | −8.70487 | − | 5.70171i | −1.04043 | − | 0.681485i | ||||
\(71\) | 7.12356 | 0.845412 | 0.422706 | − | 0.906267i | \(-0.361080\pi\) | ||||
0.422706 | + | 0.906267i | \(0.361080\pi\) | |||||||
\(72\) | 7.26682 | − | 4.38102i | 0.856403 | − | 0.516308i | ||||
\(73\) | − | 6.58132i | − | 0.770285i | −0.922857 | − | 0.385142i | \(-0.874152\pi\) | ||
0.922857 | − | 0.385142i | \(-0.125848\pi\) | |||||||
\(74\) | −2.51856 | + | 1.04322i | −0.292777 | + | 0.121272i | ||||
\(75\) | 6.66732 | + | 5.52692i | 0.769875 | + | 0.638194i | ||||
\(76\) | 1.17157 | − | 1.17157i | 0.134389 | − | 0.134389i | ||||
\(77\) | 8.28772i | 0.944473i | ||||||||
\(78\) | 0.853202 | + | 11.3672i | 0.0966061 | + | 1.28708i | ||||
\(79\) | 16.4853i | 1.85474i | 0.374147 | + | 0.927370i | \(0.377936\pi\) | ||||
−0.374147 | + | 0.927370i | \(0.622064\pi\) | |||||||
\(80\) | −7.39104 | + | 5.03712i | −0.826343 | + | 0.563167i | ||||
\(81\) | 2.65685 | + | 8.59890i | 0.295206 | + | 0.955434i | ||||
\(82\) | −4.65369 | − | 11.2350i | −0.513914 | − | 1.24070i | ||||
\(83\) | −9.37011 | −1.02850 | −0.514252 | − | 0.857639i | \(-0.671930\pi\) | ||||
−0.514252 | + | 0.857639i | \(0.671930\pi\) | |||||||
\(84\) | 5.13829 | + | 10.1754i | 0.560634 | + | 1.11023i | ||||
\(85\) | −4.65369 | − | 6.82843i | −0.504764 | − | 0.740647i | ||||
\(86\) | 3.25623 | + | 7.86123i | 0.351128 | + | 0.847699i | ||||
\(87\) | 3.29066 | − | 10.0042i | 0.352796 | − | 1.07256i | ||||
\(88\) | 6.58132 | + | 2.72607i | 0.701571 | + | 0.290600i | ||||
\(89\) | − | 5.03712i | − | 0.533934i | −0.963706 | − | 0.266967i | \(-0.913979\pi\) | ||
0.963706 | − | 0.266967i | \(-0.0860214\pi\) | |||||||
\(90\) | −3.30065 | − | 8.89414i | −0.347919 | − | 0.937525i | ||||
\(91\) | −15.3137 | −1.60531 | ||||||||
\(92\) | −3.69552 | − | 3.69552i | −0.385284 | − | 0.385284i | ||||
\(93\) | −1.92762 | − | 0.634051i | −0.199885 | − | 0.0657480i | ||||
\(94\) | −1.41421 | − | 3.41421i | −0.145865 | − | 0.352149i | ||||
\(95\) | −1.04322 | − | 1.53073i | −0.107032 | − | 0.157050i | ||||
\(96\) | 9.77048 | − | 0.733355i | 0.997195 | − | 0.0748477i | ||||
\(97\) | 2.72607i | 0.276790i | 0.990377 | + | 0.138395i | \(0.0441944\pi\) | ||||
−0.990377 | + | 0.138395i | \(0.955806\pi\) | |||||||
\(98\) | −5.00208 | + | 2.07193i | −0.505286 | + | 0.209297i | ||||
\(99\) | −4.48528 | + | 6.08034i | −0.450788 | + | 0.611097i | ||||
\(100\) | 3.99553 | + | 9.16710i | 0.399553 | + | 0.916710i | ||||
\(101\) | −13.2039 | −1.31384 | −0.656919 | − | 0.753961i | \(-0.728141\pi\) | ||||
−0.656919 | + | 0.753961i | \(0.728141\pi\) | |||||||
\(102\) | 0.677532 | + | 9.02674i | 0.0670856 | + | 0.893781i | ||||
\(103\) | 6.01673 | 0.592846 | 0.296423 | − | 0.955057i | \(-0.404206\pi\) | ||||
0.296423 | + | 0.955057i | \(0.404206\pi\) | |||||||
\(104\) | −5.03712 | + | 12.1607i | −0.493930 | + | 1.19245i | ||||
\(105\) | 12.2468 | − | 3.52735i | 1.19517 | − | 0.344235i | ||||
\(106\) | 2.48528 | + | 6.00000i | 0.241392 | + | 0.582772i | ||||
\(107\) | 8.47343 | 0.819157 | 0.409579 | − | 0.912275i | \(-0.365676\pi\) | ||||
0.409579 | + | 0.912275i | \(0.365676\pi\) | |||||||
\(108\) | −1.73715 | + | 10.2461i | −0.167157 | + | 0.985930i | ||||
\(109\) | 0.485281i | 0.0464815i | 0.999730 | + | 0.0232408i | \(0.00739843\pi\) | ||||
−0.999730 | + | 0.0232408i | \(0.992602\pi\) | |||||||
\(110\) | 4.36390 | − | 6.66242i | 0.416081 | − | 0.635237i | ||||
\(111\) | 1.04322 | − | 3.17157i | 0.0990182 | − | 0.301032i | ||||
\(112\) | 13.1626i | 1.24375i | ||||||||
\(113\) | 8.92177 | 0.839290 | 0.419645 | − | 0.907688i | \(-0.362155\pi\) | ||||
0.419645 | + | 0.907688i | \(0.362155\pi\) | |||||||
\(114\) | 0.151883 | + | 2.02353i | 0.0142251 | + | 0.189521i | ||||
\(115\) | −4.82843 | + | 3.29066i | −0.450253 | + | 0.306855i | ||||
\(116\) | 8.59890 | − | 8.59890i | 0.798388 | − | 0.798388i | ||||
\(117\) | −11.2350 | − | 8.28772i | −1.03868 | − | 0.766200i | ||||
\(118\) | −1.36303 | − | 3.29066i | −0.125478 | − | 0.302930i | ||||
\(119\) | −12.1607 | −1.11477 | ||||||||
\(120\) | 1.22724 | − | 10.8855i | 0.112031 | − | 0.993705i | ||||
\(121\) | 4.65685 | 0.423350 | ||||||||
\(122\) | 4.59220 | + | 11.0866i | 0.415758 | + | 1.00373i | ||||
\(123\) | 14.1480 | + | 4.65369i | 1.27568 | + | 0.419609i | ||||
\(124\) | −1.65685 | − | 1.65685i | −0.148790 | − | 0.148790i | ||||
\(125\) | 10.9014 | − | 2.48181i | 0.975051 | − | 0.221980i | ||||
\(126\) | −13.5514 | − | 3.35740i | −1.20725 | − | 0.299101i | ||||
\(127\) | 3.29066 | 0.291999 | 0.145999 | − | 0.989285i | \(-0.453360\pi\) | ||||
0.145999 | + | 0.989285i | \(0.453360\pi\) | |||||||
\(128\) | 10.4525 | + | 4.32957i | 0.923880 | + | 0.382683i | ||||
\(129\) | −9.89949 | − | 3.25623i | −0.871602 | − | 0.286695i | ||||
\(130\) | 12.3105 | + | 8.06343i | 1.07971 | + | 0.707210i | ||||
\(131\) | − | 21.8028i | − | 1.90492i | −0.304663 | − | 0.952460i | \(-0.598544\pi\) | ||
0.304663 | − | 0.952460i | \(-0.401456\pi\) | |||||||
\(132\) | −7.78793 | + | 3.93268i | −0.677852 | + | 0.342296i | ||||
\(133\) | −2.72607 | −0.236380 | ||||||||
\(134\) | −1.78089 | − | 4.29945i | −0.153846 | − | 0.371416i | ||||
\(135\) | 10.8939 | + | 4.04005i | 0.937601 | + | 0.347713i | ||||
\(136\) | −4.00000 | + | 9.65685i | −0.342997 | + | 0.828068i | ||||
\(137\) | −11.9832 | −1.02380 | −0.511899 | − | 0.859046i | \(-0.671058\pi\) | ||||
−0.511899 | + | 0.859046i | \(0.671058\pi\) | |||||||
\(138\) | 6.38287 | − | 0.479087i | 0.543346 | − | 0.0407826i | ||||
\(139\) | 14.4853 | 1.22863 | 0.614313 | − | 0.789063i | \(-0.289433\pi\) | ||||
0.614313 | + | 0.789063i | \(0.289433\pi\) | |||||||
\(140\) | 14.4592 | + | 2.73860i | 1.22203 | + | 0.231454i | ||||
\(141\) | 4.29945 | + | 1.41421i | 0.362079 | + | 0.119098i | ||||
\(142\) | −9.30739 | + | 3.85525i | −0.781058 | + | 0.323525i | ||||
\(143\) | − | 11.7206i | − | 0.980126i | ||||||
\(144\) | −7.12356 | + | 9.65685i | −0.593630 | + | 0.804738i | ||||
\(145\) | −7.65685 | − | 11.2350i | −0.635867 | − | 0.933017i | ||||
\(146\) | 3.56178 | + | 8.59890i | 0.294775 | + | 0.711650i | ||||
\(147\) | 2.07193 | − | 6.29902i | 0.170890 | − | 0.519535i | ||||
\(148\) | 2.72607 | − | 2.72607i | 0.224082 | − | 0.224082i | ||||
\(149\) | −14.6792 | −1.20257 | −0.601285 | − | 0.799034i | \(-0.705344\pi\) | ||||
−0.601285 | + | 0.799034i | \(0.705344\pi\) | |||||||
\(150\) | −11.7024 | − | 3.61295i | −0.955498 | − | 0.294996i | ||||
\(151\) | 2.82843i | 0.230174i | 0.993355 | + | 0.115087i | \(0.0367147\pi\) | ||||
−0.993355 | + | 0.115087i | \(0.963285\pi\) | |||||||
\(152\) | −0.896683 | + | 2.16478i | −0.0727306 | + | 0.175587i | ||||
\(153\) | −8.92177 | − | 6.58132i | −0.721282 | − | 0.532068i | ||||
\(154\) | −4.48528 | − | 10.8284i | −0.361434 | − | 0.872580i | ||||
\(155\) | −2.16478 | + | 1.47534i | −0.173880 | + | 0.118502i | ||||
\(156\) | −7.26665 | − | 14.3902i | −0.581797 | − | 1.15214i | ||||
\(157\) | −5.78287 | −0.461523 | −0.230762 | − | 0.973010i | \(-0.574122\pi\) | ||||
−0.230762 | + | 0.973010i | \(0.574122\pi\) | |||||||
\(158\) | −8.92177 | − | 21.5391i | −0.709778 | − | 1.71356i | ||||
\(159\) | −7.55568 | − | 2.48528i | −0.599204 | − | 0.197096i | ||||
\(160\) | 6.93078 | − | 10.5813i | 0.547927 | − | 0.836526i | ||||
\(161\) | 8.59890i | 0.677688i | ||||||||
\(162\) | −8.12504 | − | 9.79713i | −0.638363 | − | 0.769735i | ||||
\(163\) | 6.01673i | 0.471266i | 0.971842 | + | 0.235633i | \(0.0757164\pi\) | ||||
−0.971842 | + | 0.235633i | \(0.924284\pi\) | |||||||
\(164\) | 12.1607 | + | 12.1607i | 0.949590 | + | 0.949590i | ||||
\(165\) | 2.69972 | + | 9.37330i | 0.210173 | + | 0.729710i | ||||
\(166\) | 12.2426 | − | 5.07107i | 0.950213 | − | 0.393591i | ||||
\(167\) | 17.3952i | 1.34608i | 0.739606 | + | 0.673040i | \(0.235012\pi\) | ||||
−0.739606 | + | 0.673040i | \(0.764988\pi\) | |||||||
\(168\) | −12.2204 | − | 10.5140i | −0.942824 | − | 0.811172i | ||||
\(169\) | 8.65685 | 0.665912 | ||||||||
\(170\) | 9.77586 | + | 6.40321i | 0.749774 | + | 0.491104i | ||||
\(171\) | −2.00000 | − | 1.47534i | −0.152944 | − | 0.112822i | ||||
\(172\) | −8.50894 | − | 8.50894i | −0.648800 | − | 0.648800i | ||||
\(173\) | 21.5391i | 1.63758i | 0.574090 | + | 0.818792i | \(0.305356\pi\) | ||||
−0.574090 | + | 0.818792i | \(0.694644\pi\) | |||||||
\(174\) | 1.11476 | + | 14.8520i | 0.0845099 | + | 1.12592i | ||||
\(175\) | 6.01673 | − | 15.3137i | 0.454822 | − | 1.15761i | ||||
\(176\) | −10.0742 | −0.759374 | ||||||||
\(177\) | 4.14386 | + | 1.36303i | 0.311472 | + | 0.102452i | ||||
\(178\) | 2.72607 | + | 6.58132i | 0.204328 | + | 0.493290i | ||||
\(179\) | 9.64212i | 0.720686i | 0.932820 | + | 0.360343i | \(0.117340\pi\) | ||||
−0.932820 | + | 0.360343i | \(0.882660\pi\) | |||||||
\(180\) | 9.12598 | + | 9.83446i | 0.680210 | + | 0.733017i | ||||
\(181\) | 10.3431i | 0.768800i | 0.923167 | + | 0.384400i | \(0.125592\pi\) | ||||
−0.923167 | + | 0.384400i | \(0.874408\pi\) | |||||||
\(182\) | 20.0083 | − | 8.28772i | 1.48312 | − | 0.614327i | ||||
\(183\) | −13.9611 | − | 4.59220i | −1.03203 | − | 0.339465i | ||||
\(184\) | 6.82843 | + | 2.82843i | 0.503398 | + | 0.208514i | ||||
\(185\) | −2.42742 | − | 3.56178i | −0.178467 | − | 0.261867i | ||||
\(186\) | 2.86171 | − | 0.214795i | 0.209830 | − | 0.0157495i | ||||
\(187\) | − | 9.30739i | − | 0.680623i | ||||||
\(188\) | 3.69552 | + | 3.69552i | 0.269523 | + | 0.269523i | ||||
\(189\) | 13.9416 | − | 9.89949i | 1.01410 | − | 0.720082i | ||||
\(190\) | 2.19146 | + | 1.43541i | 0.158985 | + | 0.104136i | ||||
\(191\) | 5.03712 | 0.364473 | 0.182237 | − | 0.983255i | \(-0.441666\pi\) | ||||
0.182237 | + | 0.983255i | \(0.441666\pi\) | |||||||
\(192\) | −12.3689 | + | 6.24592i | −0.892645 | + | 0.450760i | ||||
\(193\) | 19.7439i | 1.42120i | 0.703596 | + | 0.710600i | \(0.251576\pi\) | ||||
−0.703596 | + | 0.710600i | \(0.748424\pi\) | |||||||
\(194\) | −1.47534 | − | 3.56178i | −0.105923 | − | 0.255721i | ||||
\(195\) | −17.3196 | + | 4.98843i | −1.24028 | + | 0.357229i | ||||
\(196\) | 5.41421 | − | 5.41421i | 0.386730 | − | 0.386730i | ||||
\(197\) | − | 11.9832i | − | 0.853770i | −0.904306 | − | 0.426885i | \(-0.859611\pi\) | ||
0.904306 | − | 0.426885i | \(-0.140389\pi\) | |||||||
\(198\) | 2.56964 | − | 10.3718i | 0.182617 | − | 0.737089i | ||||
\(199\) | − | 9.17157i | − | 0.650156i | −0.945687 | − | 0.325078i | \(-0.894610\pi\) | ||
0.945687 | − | 0.325078i | \(-0.105390\pi\) | |||||||
\(200\) | −10.1816 | − | 9.81503i | −0.719949 | − | 0.694027i | ||||
\(201\) | 5.41421 | + | 1.78089i | 0.381889 | + | 0.125614i | ||||
\(202\) | 17.2517 | − | 7.14590i | 1.21383 | − | 0.502784i | ||||
\(203\) | −20.0083 | −1.40431 | ||||||||
\(204\) | −5.77048 | − | 11.4273i | −0.404014 | − | 0.800073i | ||||
\(205\) | 15.8887 | − | 10.8284i | 1.10971 | − | 0.756290i | ||||
\(206\) | −7.86123 | + | 3.25623i | −0.547718 | + | 0.226872i | ||||
\(207\) | −4.65369 | + | 6.30864i | −0.323454 | + | 0.438481i | ||||
\(208\) | − | 18.6148i | − | 1.29070i | ||||||
\(209\) | − | 2.08644i | − | 0.144322i | ||||||
\(210\) | −14.0922 | + | 11.2366i | −0.972456 | + | 0.775401i | ||||
\(211\) | 18.4853 | 1.27258 | 0.636290 | − | 0.771450i | \(-0.280468\pi\) | ||||
0.636290 | + | 0.771450i | \(0.280468\pi\) | |||||||
\(212\) | −6.49435 | − | 6.49435i | −0.446034 | − | 0.446034i | ||||
\(213\) | 3.85525 | − | 11.7206i | 0.264157 | − | 0.803083i | ||||
\(214\) | −11.0711 | + | 4.58579i | −0.756803 | + | 0.313478i | ||||
\(215\) | −11.1175 | + | 7.57675i | −0.758205 | + | 0.516730i | ||||
\(216\) | −3.27545 | − | 14.3273i | −0.222866 | − | 0.974849i | ||||
\(217\) | 3.85525i | 0.261711i | ||||||||
\(218\) | −0.262632 | − | 0.634051i | −0.0177877 | − | 0.0429433i | ||||
\(219\) | −10.8284 | − | 3.56178i | −0.731717 | − | 0.240683i | ||||
\(220\) | −2.09603 | + | 11.0666i | −0.141315 | + | 0.746110i | ||||
\(221\) | 17.1978 | 1.15685 | ||||||||
\(222\) | 0.353408 | + | 4.70845i | 0.0237192 | + | 0.316010i | ||||
\(223\) | −21.9054 | −1.46690 | −0.733448 | − | 0.679746i | \(-0.762090\pi\) | ||||
−0.733448 | + | 0.679746i | \(0.762090\pi\) | |||||||
\(224\) | −7.12356 | − | 17.1978i | −0.475963 | − | 1.14908i | ||||
\(225\) | 12.7019 | − | 7.97878i | 0.846796 | − | 0.531919i | ||||
\(226\) | −11.6569 | + | 4.82843i | −0.775402 | + | 0.321182i | ||||
\(227\) | 4.14386 | 0.275038 | 0.137519 | − | 0.990499i | \(-0.456087\pi\) | ||||
0.137519 | + | 0.990499i | \(0.456087\pi\) | |||||||
\(228\) | −1.29357 | − | 2.56167i | −0.0856689 | − | 0.169651i | ||||
\(229\) | 19.3137i | 1.27629i | 0.769918 | + | 0.638143i | \(0.220297\pi\) | ||||
−0.769918 | + | 0.638143i | \(0.779703\pi\) | |||||||
\(230\) | 4.52775 | − | 6.91258i | 0.298551 | − | 0.455802i | ||||
\(231\) | 13.6360 | + | 4.48528i | 0.897184 | + | 0.295110i | ||||
\(232\) | −6.58132 | + | 15.8887i | −0.432085 | + | 1.04314i | ||||
\(233\) | 15.9414 | 1.04436 | 0.522178 | − | 0.852837i | \(-0.325120\pi\) | ||||
0.522178 | + | 0.852837i | \(0.325120\pi\) | |||||||
\(234\) | 19.1645 | + | 4.74808i | 1.25282 | + | 0.310392i | ||||
\(235\) | 4.82843 | − | 3.29066i | 0.314972 | − | 0.214659i | ||||
\(236\) | 3.56178 | + | 3.56178i | 0.231852 | + | 0.231852i | ||||
\(237\) | 27.1237 | + | 8.92177i | 1.76187 | + | 0.579531i | ||||
\(238\) | 15.8887 | − | 6.58132i | 1.02991 | − | 0.426603i | ||||
\(239\) | 22.2349 | 1.43826 | 0.719129 | − | 0.694877i | \(-0.244541\pi\) | ||||
0.719129 | + | 0.694877i | \(0.244541\pi\) | |||||||
\(240\) | 4.28772 | + | 14.8868i | 0.276771 | + | 0.960936i | ||||
\(241\) | −6.48528 | −0.417754 | −0.208877 | − | 0.977942i | \(-0.566981\pi\) | ||||
−0.208877 | + | 0.977942i | \(0.566981\pi\) | |||||||
\(242\) | −6.08447 | + | 2.52027i | −0.391125 | + | 0.162009i | ||||
\(243\) | 15.5859 | + | 0.282294i | 0.999836 | + | 0.0181092i | ||||
\(244\) | −12.0000 | − | 12.0000i | −0.768221 | − | 0.768221i | ||||
\(245\) | −4.82106 | − | 7.07401i | −0.308006 | − | 0.451942i | ||||
\(246\) | −21.0038 | + | 1.57651i | −1.33916 | + | 0.100515i | ||||
\(247\) | 3.85525 | 0.245303 | ||||||||
\(248\) | 3.06147 | + | 1.26810i | 0.194403 | + | 0.0805245i | ||||
\(249\) | −5.07107 | + | 15.4169i | −0.321366 | + | 0.977007i | ||||
\(250\) | −12.9002 | + | 9.14244i | −0.815882 | + | 0.578219i | ||||
\(251\) | 11.7286i | 0.740301i | 0.928972 | + | 0.370150i | \(0.120694\pi\) | ||||
−0.928972 | + | 0.370150i | \(0.879306\pi\) | |||||||
\(252\) | 19.5227 | − | 2.94729i | 1.22982 | − | 0.185662i | ||||
\(253\) | −6.58132 | −0.413764 | ||||||||
\(254\) | −4.29945 | + | 1.78089i | −0.269772 | + | 0.111743i | ||||
\(255\) | −13.7536 | + | 3.96134i | −0.861282 | + | 0.248068i | ||||
\(256\) | −16.0000 | −1.00000 | ||||||||
\(257\) | −16.3128 | −1.01756 | −0.508782 | − | 0.860895i | \(-0.669904\pi\) | ||||
−0.508782 | + | 0.860895i | \(0.669904\pi\) | |||||||
\(258\) | 14.6966 | − | 1.10310i | 0.914969 | − | 0.0686760i | ||||
\(259\) | −6.34315 | −0.394144 | ||||||||
\(260\) | −20.4484 | − | 3.87297i | −1.26816 | − | 0.240191i | ||||
\(261\) | −14.6792 | − | 10.8284i | −0.908622 | − | 0.670263i | ||||
\(262\) | 11.7996 | + | 28.4867i | 0.728981 | + | 1.75992i | ||||
\(263\) | 22.2500i | 1.37200i | 0.727604 | + | 0.685998i | \(0.240634\pi\) | ||||
−0.727604 | + | 0.685998i | \(0.759366\pi\) | |||||||
\(264\) | 8.04706 | − | 9.35309i | 0.495263 | − | 0.575643i | ||||
\(265\) | −8.48528 | + | 5.78287i | −0.521247 | + | 0.355239i | ||||
\(266\) | 3.56178 | − | 1.47534i | 0.218387 | − | 0.0904588i | ||||
\(267\) | −8.28772 | − | 2.72607i | −0.507200 | − | 0.166833i | ||||
\(268\) | 4.65369 | + | 4.65369i | 0.284270 | + | 0.284270i | ||||
\(269\) | 9.64212 | 0.587891 | 0.293945 | − | 0.955822i | \(-0.405032\pi\) | ||||
0.293945 | + | 0.955822i | \(0.405032\pi\) | |||||||
\(270\) | −16.4201 | + | 0.617173i | −0.999294 | + | 0.0375600i | ||||
\(271\) | − | 14.1421i | − | 0.859074i | −0.903049 | − | 0.429537i | \(-0.858677\pi\) | ||
0.903049 | − | 0.429537i | \(-0.141323\pi\) | |||||||
\(272\) | − | 14.7821i | − | 0.896295i | ||||||
\(273\) | −8.28772 | + | 25.1961i | −0.501596 | + | 1.52494i | ||||
\(274\) | 15.6569 | − | 6.48528i | 0.945865 | − | 0.391790i | ||||
\(275\) | 11.7206 | + | 4.60500i | 0.706779 | + | 0.277692i | ||||
\(276\) | −8.08034 | + | 4.08034i | −0.486379 | + | 0.245608i | ||||
\(277\) | 15.0903 | 0.906685 | 0.453343 | − | 0.891336i | \(-0.350231\pi\) | ||||
0.453343 | + | 0.891336i | \(0.350231\pi\) | |||||||
\(278\) | −18.9259 | + | 7.83938i | −1.13510 | + | 0.470175i | ||||
\(279\) | −2.08644 | + | 2.82843i | −0.124912 | + | 0.169334i | ||||
\(280\) | −20.3740 | + | 4.24711i | −1.21758 | + | 0.253813i | ||||
\(281\) | − | 3.56178i | − | 0.212478i | −0.994341 | − | 0.106239i | \(-0.966119\pi\) | ||
0.994341 | − | 0.106239i | \(-0.0338809\pi\) | |||||||
\(282\) | −6.38287 | + | 0.479087i | −0.380094 | + | 0.0285292i | ||||
\(283\) | 18.0502i | 1.07297i | 0.843909 | + | 0.536486i | \(0.180249\pi\) | ||||
−0.843909 | + | 0.536486i | \(0.819751\pi\) | |||||||
\(284\) | 10.0742 | − | 10.0742i | 0.597796 | − | 0.597796i | ||||
\(285\) | −3.08315 | + | 0.888016i | −0.182630 | + | 0.0526015i | ||||
\(286\) | 6.34315 | + | 15.3137i | 0.375078 | + | 0.905519i | ||||
\(287\) | − | 28.2960i | − | 1.67026i | ||||||
\(288\) | 4.08113 | − | 16.4725i | 0.240483 | − | 0.970653i | ||||
\(289\) | −3.34315 | −0.196656 | ||||||||
\(290\) | 16.0845 | + | 10.5354i | 0.944515 | + | 0.618659i | ||||
\(291\) | 4.48528 | + | 1.47534i | 0.262932 | + | 0.0864859i | ||||
\(292\) | −9.30739 | − | 9.30739i | −0.544674 | − | 0.544674i | ||||
\(293\) | − | 2.42742i | − | 0.141811i | −0.997483 | − | 0.0709056i | \(-0.977411\pi\) | ||
0.997483 | − | 0.0709056i | \(-0.0225889\pi\) | |||||||
\(294\) | 0.701899 | + | 9.35139i | 0.0409356 | + | 0.545384i | ||||
\(295\) | 4.65369 | − | 3.17157i | 0.270948 | − | 0.184656i | ||||
\(296\) | −2.08644 | + | 5.03712i | −0.121272 | + | 0.292777i | ||||
\(297\) | 7.57675 | + | 10.6704i | 0.439647 | + | 0.619161i | ||||
\(298\) | 19.1794 | − | 7.94435i | 1.11103 | − | 0.460204i | ||||
\(299\) | − | 12.1607i | − | 0.703271i | ||||||
\(300\) | 17.2453 | − | 1.61276i | 0.995656 | − | 0.0931127i | ||||
\(301\) | 19.7990i | 1.14119i | ||||||||
\(302\) | −1.53073 | − | 3.69552i | −0.0880838 | − | 0.212653i | ||||
\(303\) | −7.14590 | + | 21.7248i | −0.410521 | + | 1.24806i | ||||
\(304\) | − | 3.31371i | − | 0.190054i | ||||||
\(305\) | −15.6788 | + | 10.6853i | −0.897763 | + | 0.611841i | ||||
\(306\) | 15.2186 | + | 3.77048i | 0.869992 | + | 0.215544i | ||||
\(307\) | − | 7.14590i | − | 0.407838i | −0.978988 | − | 0.203919i | \(-0.934632\pi\) | ||
0.978988 | − | 0.203919i | \(-0.0653680\pi\) | |||||||
\(308\) | 11.7206 | + | 11.7206i | 0.667843 | + | 0.667843i | ||||
\(309\) | 3.25623 | − | 9.89949i | 0.185240 | − | 0.563163i | ||||
\(310\) | 2.02998 | − | 3.09920i | 0.115295 | − | 0.176022i | ||||
\(311\) | −34.3956 | −1.95040 | −0.975198 | − | 0.221334i | \(-0.928959\pi\) | ||||
−0.975198 | + | 0.221334i | \(0.928959\pi\) | |||||||
\(312\) | 17.2823 | + | 14.8690i | 0.978415 | + | 0.841793i | ||||
\(313\) | − | 17.0179i | − | 0.961907i | −0.876746 | − | 0.480954i | \(-0.840291\pi\) | ||
0.876746 | − | 0.480954i | \(-0.159709\pi\) | |||||||
\(314\) | 7.55568 | − | 3.12967i | 0.426392 | − | 0.176617i | ||||
\(315\) | 0.824265 | − | 22.0590i | 0.0464421 | − | 1.24288i | ||||
\(316\) | 23.3137 | + | 23.3137i | 1.31150 | + | 1.31150i | ||||
\(317\) | − | 13.2513i | − | 0.744269i | −0.928179 | − | 0.372135i | \(-0.878626\pi\) | ||
0.928179 | − | 0.372135i | \(-0.121374\pi\) | |||||||
\(318\) | 11.2170 | − | 0.841928i | 0.629018 | − | 0.0472130i | ||||
\(319\) | − | 15.3137i | − | 0.857403i | ||||||
\(320\) | −3.32894 | + | 17.5761i | −0.186093 | + | 0.982532i | ||||
\(321\) | 4.58579 | − | 13.9416i | 0.255954 | − | 0.778143i | ||||
\(322\) | −4.65369 | − | 11.2350i | −0.259340 | − | 0.626102i | ||||
\(323\) | 3.06147 | 0.170345 | ||||||||
\(324\) | 15.9180 | + | 8.40333i | 0.884336 | + | 0.466851i | ||||
\(325\) | −8.50894 | + | 21.6569i | −0.471991 | + | 1.20131i | ||||
\(326\) | −3.25623 | − | 7.86123i | −0.180346 | − | 0.435393i | ||||
\(327\) | 0.798447 | + | 0.262632i | 0.0441542 | + | 0.0145236i | ||||
\(328\) | −22.4700 | − | 9.30739i | −1.24070 | − | 0.513914i | ||||
\(329\) | − | 8.59890i | − | 0.474073i | ||||||
\(330\) | −8.60015 | − | 10.7857i | −0.473422 | − | 0.593735i | ||||
\(331\) | −18.4853 | −1.01604 | −0.508021 | − | 0.861344i | \(-0.669623\pi\) | ||||
−0.508021 | + | 0.861344i | \(0.669623\pi\) | |||||||
\(332\) | −13.2513 | + | 13.2513i | −0.727262 | + | 0.727262i | ||||
\(333\) | −4.65369 | − | 3.43289i | −0.255021 | − | 0.188121i | ||||
\(334\) | −9.41421 | − | 22.7279i | −0.515123 | − | 1.24362i | ||||
\(335\) | 6.08034 | − | 4.14386i | 0.332205 | − | 0.226403i | ||||
\(336\) | 21.6569 | + | 7.12356i | 1.18148 | + | 0.388622i | ||||
\(337\) | − | 27.9222i | − | 1.52102i | −0.649328 | − | 0.760508i | \(-0.724950\pi\) | ||
0.649328 | − | 0.760508i | \(-0.275050\pi\) | |||||||
\(338\) | −11.3107 | + | 4.68506i | −0.615222 | + | 0.254833i | ||||
\(339\) | 4.82843 | − | 14.6792i | 0.262244 | − | 0.797267i | ||||
\(340\) | −16.2382 | − | 3.07554i | −0.880638 | − | 0.166795i | ||||
\(341\) | −2.95068 | −0.159788 | ||||||||
\(342\) | 3.41157 | + | 0.845230i | 0.184477 | + | 0.0457048i | ||||
\(343\) | 10.4366 | 0.563521 | ||||||||
\(344\) | 15.7225 | + | 6.51246i | 0.847699 | + | 0.351128i | ||||
\(345\) | 2.80109 | + | 9.72524i | 0.150805 | + | 0.523589i | ||||
\(346\) | −11.6569 | − | 28.1421i | −0.626676 | − | 1.51293i | ||||
\(347\) | −0.185709 | −0.00996939 | −0.00498469 | − | 0.999988i | \(-0.501587\pi\) | ||||
−0.00498469 | + | 0.999988i | \(0.501587\pi\) | |||||||
\(348\) | −9.49433 | − | 18.8017i | −0.508949 | − | 1.00788i | ||||
\(349\) | 2.34315i | 0.125426i | 0.998032 | + | 0.0627129i | \(0.0199752\pi\) | ||||
−0.998032 | + | 0.0627129i | \(0.980025\pi\) | |||||||
\(350\) | 0.426486 | + | 23.2646i | 0.0227966 | + | 1.24354i | ||||
\(351\) | −19.7164 | + | 14.0000i | −1.05238 | + | 0.747265i | ||||
\(352\) | 13.1626 | − | 5.45214i | 0.701571 | − | 0.290600i | ||||
\(353\) | 32.3630 | 1.72251 | 0.861254 | − | 0.508175i | \(-0.169680\pi\) | ||||
0.861254 | + | 0.508175i | \(0.169680\pi\) | |||||||
\(354\) | −6.15188 | + | 0.461750i | −0.326969 | + | 0.0245417i | ||||
\(355\) | −8.97056 | − | 13.1626i | −0.476108 | − | 0.698600i | ||||
\(356\) | −7.12356 | − | 7.12356i | −0.377548 | − | 0.377548i | ||||
\(357\) | −6.58132 | + | 20.0083i | −0.348320 | + | 1.05895i | ||||
\(358\) | −5.21828 | − | 12.5980i | −0.275795 | − | 0.665827i | ||||
\(359\) | 9.21001 | 0.486086 | 0.243043 | − | 0.970016i | \(-0.421854\pi\) | ||||
0.243043 | + | 0.970016i | \(0.421854\pi\) | |||||||
\(360\) | −17.2460 | − | 7.91040i | −0.908946 | − | 0.416914i | ||||
\(361\) | −18.3137 | −0.963879 | ||||||||
\(362\) | −5.59767 | − | 13.5140i | −0.294207 | − | 0.710279i | ||||
\(363\) | 2.52027 | − | 7.66206i | 0.132280 | − | 0.402154i | ||||
\(364\) | −21.6569 | + | 21.6569i | −1.13513 | + | 1.13513i | ||||
\(365\) | −12.1607 | + | 8.28772i | −0.636519 | + | 0.433799i | ||||
\(366\) | 20.7263 | − | 1.55568i | 1.08338 | − | 0.0813167i | ||||
\(367\) | 2.16148 | 0.112828 | 0.0564142 | − | 0.998407i | \(-0.482033\pi\) | ||||
0.0564142 | + | 0.998407i | \(0.482033\pi\) | |||||||
\(368\) | −10.4525 | −0.544874 | ||||||||
\(369\) | 15.3137 | − | 20.7596i | 0.797200 | − | 1.08070i | ||||
\(370\) | 5.09920 | + | 3.33998i | 0.265095 | + | 0.173638i | ||||
\(371\) | 15.1114i | 0.784543i | ||||||||
\(372\) | −3.62275 | + | 1.82939i | −0.187831 | + | 0.0948493i | ||||
\(373\) | −24.3976 | −1.26326 | −0.631631 | − | 0.775269i | \(-0.717614\pi\) | ||||
−0.631631 | + | 0.775269i | \(0.717614\pi\) | |||||||
\(374\) | 5.03712 | + | 12.1607i | 0.260463 | + | 0.628814i | ||||
\(375\) | 1.81640 | − | 19.2795i | 0.0937987 | − | 0.995591i | ||||
\(376\) | −6.82843 | − | 2.82843i | −0.352149 | − | 0.145865i | ||||
\(377\) | 28.2960 | 1.45732 | ||||||||
\(378\) | −12.8580 | + | 20.4794i | −0.661343 | + | 1.05335i | ||||
\(379\) | 20.8284 | 1.06988 | 0.534942 | − | 0.844889i | \(-0.320333\pi\) | ||||
0.534942 | + | 0.844889i | \(0.320333\pi\) | |||||||
\(380\) | −3.64012 | − | 0.689446i | −0.186734 | − | 0.0353678i | ||||
\(381\) | 1.78089 | − | 5.41421i | 0.0912378 | − | 0.277379i | ||||
\(382\) | −6.58132 | + | 2.72607i | −0.336729 | + | 0.139478i | ||||
\(383\) | − | 29.1158i | − | 1.48775i | −0.668320 | − | 0.743874i | \(-0.732986\pi\) | ||
0.668320 | − | 0.743874i | \(-0.267014\pi\) | |||||||
\(384\) | 12.7804 | − | 14.8547i | 0.652198 | − | 0.758049i | ||||
\(385\) | 15.3137 | − | 10.4366i | 0.780459 | − | 0.531896i | ||||
\(386\) | −10.6853 | − | 25.7967i | −0.543870 | − | 1.31302i | ||||
\(387\) | −10.7151 | + | 14.5257i | −0.544681 | + | 0.738381i | ||||
\(388\) | 3.85525 | + | 3.85525i | 0.195720 | + | 0.195720i | ||||
\(389\) | 7.55568 | 0.383088 | 0.191544 | − | 0.981484i | \(-0.438650\pi\) | ||||
0.191544 | + | 0.981484i | \(0.438650\pi\) | |||||||
\(390\) | 19.9294 | − | 15.8910i | 1.00917 | − | 0.804672i | ||||
\(391\) | − | 9.65685i | − | 0.488368i | ||||||
\(392\) | −4.14386 | + | 10.0042i | −0.209297 | + | 0.505286i | ||||
\(393\) | −35.8728 | − | 11.7996i | −1.80954 | − | 0.595211i | ||||
\(394\) | 6.48528 | + | 15.6569i | 0.326724 | + | 0.788781i | ||||
\(395\) | 30.4608 | − | 20.7596i | 1.53265 | − | 1.04453i | ||||
\(396\) | 2.25576 | + | 14.9420i | 0.113356 | + | 0.750866i | ||||
\(397\) | −27.1237 | −1.36130 | −0.680650 | − | 0.732609i | \(-0.738303\pi\) | ||||
−0.680650 | + | 0.732609i | \(0.738303\pi\) | |||||||
\(398\) | 4.96362 | + | 11.9832i | 0.248804 | + | 0.600665i | ||||
\(399\) | −1.47534 | + | 4.48528i | −0.0738593 | + | 0.224545i | ||||
\(400\) | 18.6148 | + | 7.31371i | 0.930739 | + | 0.365685i | ||||
\(401\) | − | 15.1114i | − | 0.754625i | −0.926086 | − | 0.377313i | \(-0.876848\pi\) | ||
0.926086 | − | 0.377313i | \(-0.123152\pi\) | |||||||
\(402\) | −8.03782 | + | 0.603305i | −0.400890 | + | 0.0300901i | ||||
\(403\) | − | 5.45214i | − | 0.271590i | ||||||
\(404\) | −18.6731 | + | 18.6731i | −0.929024 | + | 0.929024i | ||||
\(405\) | 12.5430 | − | 15.7377i | 0.623266 | − | 0.782010i | ||||
\(406\) | 26.1421 | − | 10.8284i | 1.29741 | − | 0.537406i | ||||
\(407\) | − | 4.85483i | − | 0.240645i | ||||||
\(408\) | 13.7239 | + | 11.8076i | 0.679435 | + | 0.584562i | ||||
\(409\) | −12.8284 | −0.634325 | −0.317162 | − | 0.948371i | \(-0.602730\pi\) | ||||
−0.317162 | + | 0.948371i | \(0.602730\pi\) | |||||||
\(410\) | −14.8993 | + | 22.7469i | −0.735823 | + | 1.12339i | ||||
\(411\) | −6.48528 | + | 19.7164i | −0.319895 | + | 0.972537i | ||||
\(412\) | 8.50894 | − | 8.50894i | 0.419205 | − | 0.419205i | ||||
\(413\) | − | 8.28772i | − | 0.407812i | ||||||
\(414\) | 2.66613 | − | 10.7612i | 0.131033 | − | 0.528884i | ||||
\(415\) | 11.7996 | + | 17.3137i | 0.579219 | + | 0.849897i | ||||
\(416\) | 10.0742 | + | 24.3214i | 0.493930 | + | 1.19245i | ||||
\(417\) | 7.83938 | − | 23.8331i | 0.383896 | − | 1.16711i | ||||
\(418\) | 1.12918 | + | 2.72607i | 0.0552298 | + | 0.133336i | ||||
\(419\) | − | 2.51856i | − | 0.123040i | −0.998106 | − | 0.0615199i | \(-0.980405\pi\) | ||
0.998106 | − | 0.0615199i | \(-0.0195948\pi\) | |||||||
\(420\) | 12.3312 | − | 22.3080i | 0.601699 | − | 1.08852i | ||||
\(421\) | − | 34.8284i | − | 1.69743i | −0.528848 | − | 0.848717i | \(-0.677376\pi\) | ||
0.528848 | − | 0.848717i | \(-0.322624\pi\) | |||||||
\(422\) | −24.1522 | + | 10.0042i | −1.17571 | + | 0.486995i | ||||
\(423\) | 4.65369 | − | 6.30864i | 0.226270 | − | 0.306737i | ||||
\(424\) | 12.0000 | + | 4.97056i | 0.582772 | + | 0.241392i | ||||
\(425\) | −6.75699 | + | 17.1978i | −0.327762 | + | 0.834216i | ||||
\(426\) | 1.30603 | + | 17.4002i | 0.0632771 | + | 0.843040i | ||||
\(427\) | 27.9222i | 1.35125i | ||||||||
\(428\) | 11.9832 | − | 11.9832i | 0.579232 | − | 0.579232i | ||||
\(429\) | −19.2842 | − | 6.34315i | −0.931052 | − | 0.306250i | ||||
\(430\) | 10.4252 | − | 15.9162i | 0.502746 | − | 0.767548i | ||||
\(431\) | 27.2720 | 1.31365 | 0.656824 | − | 0.754044i | \(-0.271899\pi\) | ||||
0.656824 | + | 0.754044i | \(0.271899\pi\) | |||||||
\(432\) | 12.0335 | + | 16.9469i | 0.578960 | + | 0.815356i | ||||
\(433\) | 23.5992i | 1.13410i | 0.823682 | + | 0.567052i | \(0.191916\pi\) | ||||
−0.823682 | + | 0.567052i | \(0.808084\pi\) | |||||||
\(434\) | −2.08644 | − | 5.03712i | −0.100152 | − | 0.241790i | ||||
\(435\) | −22.6291 | + | 6.51770i | −1.08498 | + | 0.312500i | ||||
\(436\) | 0.686292 | + | 0.686292i | 0.0328674 | + | 0.0328674i | ||||
\(437\) | − | 2.16478i | − | 0.103556i | ||||||
\(438\) | 16.0756 | − | 1.20661i | 0.768124 | − | 0.0576541i | ||||
\(439\) | 28.4853i | 1.35953i | 0.733431 | + | 0.679764i | \(0.237918\pi\) | ||||
−0.733431 | + | 0.679764i | \(0.762082\pi\) | |||||||
\(440\) | −3.25060 | − | 15.5936i | −0.154966 | − | 0.743394i | ||||
\(441\) | −9.24264 | − | 6.81801i | −0.440126 | − | 0.324667i | ||||
\(442\) | −22.4700 | + | 9.30739i | −1.06879 | + | 0.442707i | ||||
\(443\) | −1.60766 | −0.0763821 | −0.0381910 | − | 0.999270i | \(-0.512160\pi\) | ||||
−0.0381910 | + | 0.999270i | \(0.512160\pi\) | |||||||
\(444\) | −3.00994 | − | 5.96062i | −0.142846 | − | 0.282878i | ||||
\(445\) | −9.30739 | + | 6.34315i | −0.441212 | + | 0.300694i | ||||
\(446\) | 28.6208 | − | 11.8551i | 1.35524 | − | 0.561357i | ||||
\(447\) | −7.94435 | + | 24.1522i | −0.375755 | + | 1.14236i | ||||
\(448\) | 18.6148 | + | 18.6148i | 0.879465 | + | 0.879465i | ||||
\(449\) | 35.0067i | 1.65207i | 0.563620 | + | 0.826035i | \(0.309408\pi\) | ||||
−0.563620 | + | 0.826035i | \(0.690592\pi\) | |||||||
\(450\) | −12.2778 | + | 17.2990i | −0.578781 | + | 0.815483i | ||||
\(451\) | 21.6569 | 1.01978 | ||||||||
\(452\) | 12.6173 | − | 12.6173i | 0.593467 | − | 0.593467i | ||||
\(453\) | 4.65369 | + | 1.53073i | 0.218650 | + | 0.0719201i | ||||
\(454\) | −5.41421 | + | 2.24264i | −0.254102 | + | 0.105252i | ||||
\(455\) | 19.2842 | + | 28.2960i | 0.904060 | + | 1.32654i | ||||
\(456\) | 3.07650 | + | 2.64691i | 0.144070 | + | 0.123953i | ||||
\(457\) | 18.6148i | 0.870762i | 0.900246 | + | 0.435381i | \(0.143386\pi\) | ||||
−0.900246 | + | 0.435381i | \(0.856614\pi\) | |||||||
\(458\) | −10.4525 | − | 25.2346i | −0.488413 | − | 1.17913i | ||||
\(459\) | −15.6569 | + | 11.1175i | −0.730799 | + | 0.518919i | ||||
\(460\) | −2.17473 | + | 11.4821i | −0.101398 | + | 0.535357i | ||||
\(461\) | −3.99390 | −0.186014 | −0.0930072 | − | 0.995665i | \(-0.529648\pi\) | ||||
−0.0930072 | + | 0.995665i | \(0.529648\pi\) | |||||||
\(462\) | −20.2437 | + | 1.51946i | −0.941824 | + | 0.0706917i | ||||
\(463\) | 25.7607 | 1.19720 | 0.598600 | − | 0.801048i | \(-0.295724\pi\) | ||||
0.598600 | + | 0.801048i | \(0.295724\pi\) | |||||||
\(464\) | − | 24.3214i | − | 1.12909i | ||||||
\(465\) | 1.25584 | + | 4.36023i | 0.0582384 | + | 0.202201i | ||||
\(466\) | −20.8284 | + | 8.62742i | −0.964858 | + | 0.399657i | ||||
\(467\) | −15.8645 | −0.734120 | −0.367060 | − | 0.930197i | \(-0.619636\pi\) | ||||
−0.367060 | + | 0.930197i | \(0.619636\pi\) | |||||||
\(468\) | −27.6093 | + | 4.16810i | −1.27624 | + | 0.192670i | ||||
\(469\) | − | 10.8284i | − | 0.500010i | ||||||
\(470\) | −4.52775 | + | 6.91258i | −0.208850 | + | 0.318853i | ||||
\(471\) | −3.12967 | + | 9.51472i | −0.144207 | + | 0.438415i | ||||
\(472\) | −6.58132 | − | 2.72607i | −0.302930 | − | 0.125478i | ||||
\(473\) | −15.1535 | −0.696758 | ||||||||
\(474\) | −40.2673 | + | 3.02239i | −1.84954 | + | 0.138823i | ||||
\(475\) | −1.51472 | + | 3.85525i | −0.0695001 | + | 0.176891i | ||||
\(476\) | −17.1978 | + | 17.1978i | −0.788260 | + | 0.788260i | ||||
\(477\) | −8.17821 | + | 11.0866i | −0.374455 | + | 0.507618i | ||||
\(478\) | −29.0513 | + | 12.0335i | −1.32878 | + | 0.550397i | ||||
\(479\) | −19.2842 | −0.881120 | −0.440560 | − | 0.897723i | \(-0.645220\pi\) | ||||
−0.440560 | + | 0.897723i | \(0.645220\pi\) | |||||||
\(480\) | −13.6588 | − | 17.1300i | −0.623437 | − | 0.781873i | ||||
\(481\) | 8.97056 | 0.409022 | ||||||||
\(482\) | 8.47343 | − | 3.50981i | 0.385954 | − | 0.159867i | ||||
\(483\) | 14.1480 | + | 4.65369i | 0.643757 | + | 0.211750i | ||||
\(484\) | 6.58579 | − | 6.58579i | 0.299354 | − | 0.299354i | ||||
\(485\) | 5.03712 | − | 3.43289i | 0.228724 | − | 0.155879i | ||||
\(486\) | −20.5167 | + | 8.06619i | −0.930658 | + | 0.365890i | ||||
\(487\) | 8.74280 | 0.396174 | 0.198087 | − | 0.980184i | \(-0.436527\pi\) | ||||
0.198087 | + | 0.980184i | \(0.436527\pi\) | |||||||
\(488\) | 22.1731 | + | 9.18440i | 1.00373 | + | 0.415758i | ||||
\(489\) | 9.89949 | + | 3.25623i | 0.447671 | + | 0.147252i | ||||
\(490\) | 10.1274 | + | 6.63350i | 0.457511 | + | 0.299671i | ||||
\(491\) | 36.9142i | 1.66591i | 0.553338 | + | 0.832957i | \(0.313354\pi\) | ||||
−0.553338 | + | 0.832957i | \(0.686646\pi\) | |||||||
\(492\) | 26.5896 | − | 13.4270i | 1.19875 | − | 0.605336i | ||||
\(493\) | 22.4700 | 1.01200 | ||||||||
\(494\) | −5.03712 | + | 2.08644i | −0.226631 | + | 0.0938735i | ||||
\(495\) | 16.8832 | + | 0.630865i | 0.758845 | + | 0.0283553i | ||||
\(496\) | −4.68629 | −0.210421 | ||||||||
\(497\) | −23.4412 | −1.05148 | ||||||||
\(498\) | −1.71790 | − | 22.8876i | −0.0769811 | − | 1.02562i | ||||
\(499\) | −37.1127 | −1.66139 | −0.830696 | − | 0.556726i | \(-0.812057\pi\) | ||||
−0.830696 | + | 0.556726i | \(0.812057\pi\) | |||||||
\(500\) | 11.9071 | − | 18.9267i | 0.532502 | − | 0.846429i | ||||
\(501\) | 28.6208 | + | 9.41421i | 1.27868 | + | 0.420596i | ||||
\(502\) | −6.34746 | − | 15.3241i | −0.283301 | − | 0.683949i | ||||
\(503\) | − | 9.63274i | − | 0.429503i | −0.976669 | − | 0.214751i | \(-0.931106\pi\) | ||
0.976669 | − | 0.214751i | \(-0.0688941\pi\) | |||||||
\(504\) | −23.9126 | + | 14.4164i | −1.06515 | + | 0.642159i | ||||
\(505\) | 16.6274 | + | 24.3976i | 0.739910 | + | 1.08568i | ||||
\(506\) | 8.59890 | − | 3.56178i | 0.382268 | − | 0.158341i | ||||
\(507\) | 4.68506 | − | 14.2434i | 0.208071 | − | 0.632570i | ||||
\(508\) | 4.65369 | − | 4.65369i | 0.206474 | − | 0.206474i | ||||
\(509\) | −13.2039 | −0.585253 | −0.292626 | − | 0.956227i | \(-0.594529\pi\) | ||||
−0.292626 | + | 0.956227i | \(0.594529\pi\) | |||||||
\(510\) | 15.8260 | − | 12.6191i | 0.700789 | − | 0.558784i | ||||
\(511\) | 21.6569i | 0.958043i | ||||||||
\(512\) | 20.9050 | − | 8.65914i | 0.923880 | − | 0.382683i | ||||
\(513\) | −3.50981 | + | 2.49221i | −0.154962 | + | 0.110034i | ||||
\(514\) | 21.3137 | − | 8.82843i | 0.940107 | − | 0.389405i | ||||
\(515\) | −7.57675 | − | 11.1175i | −0.333871 | − | 0.489894i | ||||
\(516\) | −18.6050 | + | 9.39500i | −0.819040 | + | 0.413592i | ||||
\(517\) | 6.58132 | 0.289446 | ||||||||
\(518\) | 8.28772 | − | 3.43289i | 0.364141 | − | 0.150832i | ||||
\(519\) | 35.4388 | + | 11.6569i | 1.55559 | + | 0.511679i | ||||
\(520\) | 28.8132 | − | 6.00632i | 1.26354 | − | 0.263395i | ||||
\(521\) | − | 34.3956i | − | 1.50690i | −0.657506 | − | 0.753450i | \(-0.728388\pi\) | ||
0.657506 | − | 0.753450i | \(-0.271612\pi\) | |||||||
\(522\) | 25.0397 | + | 6.20367i | 1.09596 | + | 0.271527i | ||||
\(523\) | − | 12.5980i | − | 0.550874i | −0.961319 | − | 0.275437i | \(-0.911177\pi\) | ||
0.961319 | − | 0.275437i | \(-0.0888225\pi\) | |||||||
\(524\) | −30.8338 | − | 30.8338i | −1.34698 | − | 1.34698i | ||||
\(525\) | −21.9399 | − | 18.1872i | −0.957534 | − | 0.793755i | ||||
\(526\) | −12.0416 | − | 29.0711i | −0.525040 | − | 1.26756i | ||||
\(527\) | − | 4.32957i | − | 0.188599i | ||||||
\(528\) | −5.45214 | + | 16.5754i | −0.237274 | + | 0.721353i | ||||
\(529\) | 16.1716 | 0.703112 | ||||||||
\(530\) | 7.95689 | − | 12.1479i | 0.345625 | − | 0.527670i | ||||
\(531\) | 4.48528 | − | 6.08034i | 0.194645 | − | 0.263864i | ||||
\(532\) | −3.85525 | + | 3.85525i | −0.167146 | + | 0.167146i | ||||
\(533\) | 40.0166i | 1.73331i | ||||||||
\(534\) | 12.3038 | − | 0.923499i | 0.532436 | − | 0.0399637i | ||||
\(535\) | −10.6704 | − | 15.6569i | −0.461322 | − | 0.676905i | ||||
\(536\) | −8.59890 | − | 3.56178i | −0.371416 | − | 0.153846i | ||||
\(537\) | 15.8645 | + | 5.21828i | 0.684602 | + | 0.225185i | ||||
\(538\) | −12.5980 | + | 5.21828i | −0.543140 | + | 0.224976i | ||||
\(539\) | − | 9.64212i | − | 0.415316i | ||||||
\(540\) | 21.1199 | − | 9.69286i | 0.908854 | − | 0.417114i | ||||
\(541\) | − | 16.0000i | − | 0.687894i | −0.938989 | − | 0.343947i | \(-0.888236\pi\) | ||
0.938989 | − | 0.343947i | \(-0.111764\pi\) | |||||||
\(542\) | 7.65367 | + | 18.4776i | 0.328753 | + | 0.793680i | ||||
\(543\) | 17.0179 | + | 5.59767i | 0.730307 | + | 0.240219i | ||||
\(544\) | 8.00000 | + | 19.3137i | 0.342997 | + | 0.828068i | ||||
\(545\) | 0.896683 | − | 0.611105i | 0.0384097 | − | 0.0261769i | ||||
\(546\) | −2.80760 | − | 37.4056i | −0.120154 | − | 1.60081i | ||||
\(547\) | 11.0011i | 0.470375i | 0.971950 | + | 0.235188i | \(0.0755704\pi\) | ||||
−0.971950 | + | 0.235188i | \(0.924430\pi\) | |||||||
\(548\) | −16.9469 | + | 16.9469i | −0.723934 | + | 0.723934i | ||||
\(549\) | −15.1114 | + | 20.4853i | −0.644937 | + | 0.874291i | ||||
\(550\) | −17.8059 | + | 0.326418i | −0.759247 | + | 0.0139185i | ||||
\(551\) | 5.03712 | 0.214589 | ||||||||
\(552\) | 8.34921 | − | 9.70427i | 0.355366 | − | 0.413041i | ||||
\(553\) | − | 54.2474i | − | 2.30683i | ||||||
\(554\) | −19.7164 | + | 8.16679i | −0.837668 | + | 0.346973i | ||||
\(555\) | −7.17401 | + | 2.06628i | −0.304520 | + | 0.0877085i | ||||
\(556\) | 20.4853 | − | 20.4853i | 0.868769 | − | 0.868769i | ||||
\(557\) | 4.96362i | 0.210315i | 0.994456 | + | 0.105158i | \(0.0335347\pi\) | ||||
−0.994456 | + | 0.105158i | \(0.966465\pi\) | |||||||
\(558\) | 1.19534 | − | 4.82469i | 0.0506026 | − | 0.204246i | ||||
\(559\) | − | 28.0000i | − | 1.18427i | ||||||
\(560\) | 24.3214 | − | 16.5754i | 1.02777 | − | 0.700440i | ||||
\(561\) | −15.3137 | − | 5.03712i | −0.646545 | − | 0.212667i | ||||
\(562\) | 1.92762 | + | 4.65369i | 0.0813119 | + | 0.196304i | ||||
\(563\) | −21.9874 | −0.926658 | −0.463329 | − | 0.886186i | \(-0.653345\pi\) | ||||
−0.463329 | + | 0.886186i | \(0.653345\pi\) | |||||||
\(564\) | 8.08034 | − | 4.08034i | 0.340244 | − | 0.171813i | ||||
\(565\) | −11.2350 | − | 16.4853i | −0.472660 | − | 0.693541i | ||||
\(566\) | −9.76869 | − | 23.5837i | −0.410609 | − | 0.991297i | ||||
\(567\) | −8.74280 | − | 28.2960i | −0.367163 | − | 1.18832i | ||||
\(568\) | −7.71049 | + | 18.6148i | −0.323525 | + | 0.781058i | ||||
\(569\) | 15.7225i | 0.659120i | 0.944135 | + | 0.329560i | \(0.106900\pi\) | ||||
−0.944135 | + | 0.329560i | \(0.893100\pi\) | |||||||
\(570\) | 3.54774 | − | 2.82884i | 0.148598 | − | 0.118487i | ||||
\(571\) | 21.1127 | 0.883539 | 0.441769 | − | 0.897129i | \(-0.354351\pi\) | ||||
0.441769 | + | 0.897129i | \(0.354351\pi\) | |||||||
\(572\) | −16.5754 | − | 16.5754i | −0.693054 | − | 0.693054i | ||||
\(573\) | 2.72607 | − | 8.28772i | 0.113883 | − | 0.346224i | ||||
\(574\) | 15.3137 | + | 36.9706i | 0.639182 | + | 1.54312i | ||||
\(575\) | 12.1607 | + | 4.77791i | 0.507136 | + | 0.199253i | ||||
\(576\) | 3.58261 | + | 23.7311i | 0.149276 | + | 0.988796i | ||||
\(577\) | − | 3.85525i | − | 0.160496i | −0.996775 | − | 0.0802480i | \(-0.974429\pi\) | ||
0.996775 | − | 0.0802480i | \(-0.0255712\pi\) | |||||||
\(578\) | 4.36803 | − | 1.80930i | 0.181686 | − | 0.0752569i | ||||
\(579\) | 32.4853 | + | 10.6853i | 1.35004 | + | 0.444068i | ||||
\(580\) | −26.7171 | − | 5.06027i | −1.10937 | − | 0.210116i | ||||
\(581\) | 30.8338 | 1.27920 | ||||||||
\(582\) | −6.65875 | + | 0.499794i | −0.276014 | + | 0.0207171i | ||||
\(583\) | −11.5657 | −0.479004 | ||||||||
\(584\) | 17.1978 | + | 7.12356i | 0.711650 | + | 0.294775i | ||||
\(585\) | −1.16569 | + | 31.1961i | −0.0481952 | + | 1.28980i | ||||
\(586\) | 1.31371 | + | 3.17157i | 0.0542688 | + | 0.131016i | ||||
\(587\) | 7.20533 | 0.297396 | 0.148698 | − | 0.988883i | \(-0.452492\pi\) | ||||
0.148698 | + | 0.988883i | \(0.452492\pi\) | |||||||
\(588\) | −5.97801 | − | 11.8383i | −0.246529 | − | 0.488204i | ||||
\(589\) | − | 0.970563i | − | 0.0399913i | ||||||
\(590\) | −4.36390 | + | 6.66242i | −0.179659 | + | 0.274287i | ||||
\(591\) | −19.7164 | − | 6.48528i | −0.811023 | − | 0.266769i | ||||
\(592\) | − | 7.71049i | − | 0.316899i | ||||||
\(593\) | 1.00547 | 0.0412897 | 0.0206448 | − | 0.999787i | \(-0.493428\pi\) | ||||
0.0206448 | + | 0.999787i | \(0.493428\pi\) | |||||||
\(594\) | −15.6743 | − | 9.84107i | −0.643124 | − | 0.403784i | ||||
\(595\) | 15.3137 | + | 22.4700i | 0.627801 | + | 0.921181i | ||||
\(596\) | −20.7596 | + | 20.7596i | −0.850346 | + | 0.850346i | ||||
\(597\) | −15.0903 | − | 4.96362i | −0.617603 | − | 0.203147i | ||||
\(598\) | 6.58132 | + | 15.8887i | 0.269130 | + | 0.649737i | ||||
\(599\) | −32.3092 | −1.32012 | −0.660058 | − | 0.751214i | \(-0.729468\pi\) | ||||
−0.660058 | + | 0.751214i | \(0.729468\pi\) | |||||||
\(600\) | −21.6592 | + | 11.4402i | −0.884233 | + | 0.467046i | ||||
\(601\) | 13.5147 | 0.551277 | 0.275638 | − | 0.961261i | \(-0.411111\pi\) | ||||
0.275638 | + | 0.961261i | \(0.411111\pi\) | |||||||
\(602\) | −10.7151 | − | 25.8686i | −0.436716 | − | 1.05433i | ||||
\(603\) | 5.86030 | − | 7.94435i | 0.238650 | − | 0.323519i | ||||
\(604\) | 4.00000 | + | 4.00000i | 0.162758 | + | 0.162758i | ||||
\(605\) | −5.86428 | − | 8.60474i | −0.238417 | − | 0.349833i | ||||
\(606\) | −2.42079 | − | 32.2521i | −0.0983378 | − | 1.31015i | ||||
\(607\) | −4.88755 | −0.198380 | −0.0991898 | − | 0.995069i | \(-0.531625\pi\) | ||||
−0.0991898 | + | 0.995069i | \(0.531625\pi\) | |||||||
\(608\) | 1.79337 | + | 4.32957i | 0.0727306 | + | 0.175587i | ||||
\(609\) | −10.8284 | + | 32.9203i | −0.438790 | + | 1.33400i | ||||
\(610\) | 14.7024 | − | 22.4464i | 0.595283 | − | 0.908827i | ||||
\(611\) | 12.1607i | 0.491969i | ||||||||
\(612\) | −21.9247 | + | 3.30990i | −0.886252 | + | 0.133795i | ||||
\(613\) | 23.2685 | 0.939804 | 0.469902 | − | 0.882718i | \(-0.344289\pi\) | ||||
0.469902 | + | 0.882718i | \(0.344289\pi\) | |||||||
\(614\) | 3.86733 | + | 9.33657i | 0.156073 | + | 0.376793i | ||||
\(615\) | −9.21742 | − | 32.0024i | −0.371682 | − | 1.29046i | ||||
\(616\) | −21.6569 | − | 8.97056i | −0.872580 | − | 0.361434i | ||||
\(617\) | −8.55035 | −0.344224 | −0.172112 | − | 0.985077i | \(-0.555059\pi\) | ||||
−0.172112 | + | 0.985077i | \(0.555059\pi\) | |||||||
\(618\) | 1.10310 | + | 14.6966i | 0.0443732 | + | 0.591183i | ||||
\(619\) | −2.48528 | −0.0998919 | −0.0499459 | − | 0.998752i | \(-0.515905\pi\) | ||||
−0.0499459 | + | 0.998752i | \(0.515905\pi\) | |||||||
\(620\) | −0.975024 | + | 5.14791i | −0.0391579 | + | 0.206745i | ||||
\(621\) | 7.86123 | + | 11.0711i | 0.315460 | + | 0.444267i | ||||
\(622\) | 44.9400 | − | 18.6148i | 1.80193 | − | 0.746384i | ||||
\(623\) | 16.5754i | 0.664081i | ||||||||
\(624\) | −30.6274 | − | 10.0742i | −1.22608 | − | 0.403292i | ||||
\(625\) | −18.3137 | − | 17.0179i | −0.732548 | − | 0.680715i | ||||
\(626\) | 9.21001 | + | 22.2349i | 0.368106 | + | 0.888686i | ||||
\(627\) | −3.43289 | − | 1.12918i | −0.137096 | − | 0.0450949i | ||||
\(628\) | −8.17821 | + | 8.17821i | −0.326346 | + | 0.326346i | ||||
\(629\) | 7.12356 | 0.284035 | ||||||||
\(630\) | 10.8613 | + | 29.2676i | 0.432724 | + | 1.16605i | ||||
\(631\) | − | 2.14214i | − | 0.0852771i | −0.999091 | − | 0.0426385i | \(-0.986424\pi\) | ||
0.999091 | − | 0.0426385i | \(-0.0135764\pi\) | |||||||
\(632\) | −43.0781 | − | 17.8435i | −1.71356 | − | 0.709778i | ||||
\(633\) | 10.0042 | − | 30.4144i | 0.397630 | − | 1.20886i | ||||
\(634\) | 7.17157 | + | 17.3137i | 0.284820 | + | 0.687615i | ||||
\(635\) | −4.14386 | − | 6.08034i | −0.164444 | − | 0.241291i | ||||
\(636\) | −14.2001 | + | 7.17063i | −0.563069 | + | 0.284334i | ||||
\(637\) | 17.8163 | 0.705908 | ||||||||
\(638\) | 8.28772 | + | 20.0083i | 0.328114 | + | 0.792137i | ||||
\(639\) | −17.1978 | − | 12.6863i | −0.680335 | − | 0.501862i | ||||
\(640\) | −5.16263 | − | 24.7658i | −0.204071 | − | 0.978956i | ||||
\(641\) | − | 35.0067i | − | 1.38268i | −0.722529 | − | 0.691341i | \(-0.757020\pi\) | ||
0.722529 | − | 0.691341i | \(-0.242980\pi\) | |||||||
\(642\) | 1.55351 | + | 20.6974i | 0.0613121 | + | 0.816859i | ||||
\(643\) | − | 35.0681i | − | 1.38295i | −0.722401 | − | 0.691475i | \(-0.756961\pi\) | ||
0.722401 | − | 0.691475i | \(-0.243039\pi\) | |||||||
\(644\) | 12.1607 | + | 12.1607i | 0.479198 | + | 0.479198i | ||||
\(645\) | 6.44951 | + | 22.3924i | 0.253949 | + | 0.881699i | ||||
\(646\) | −4.00000 | + | 1.65685i | −0.157378 | + | 0.0651881i | ||||
\(647\) | 28.3730i | 1.11546i | 0.830024 | + | 0.557728i | \(0.188327\pi\) | ||||
−0.830024 | + | 0.557728i | \(0.811673\pi\) | |||||||
\(648\) | −25.3458 | − | 2.36469i | −0.995676 | − | 0.0928938i | ||||
\(649\) | 6.34315 | 0.248990 | ||||||||
\(650\) | −0.603142 | − | 32.9010i | −0.0236572 | − | 1.29049i | ||||
\(651\) | 6.34315 | + | 2.08644i | 0.248607 | + | 0.0817742i | ||||
\(652\) | 8.50894 | + | 8.50894i | 0.333236 | + | 0.333236i | ||||
\(653\) | − | 24.2291i | − | 0.948158i | −0.880482 | − | 0.474079i | \(-0.842781\pi\) | ||
0.880482 | − | 0.474079i | \(-0.157219\pi\) | |||||||
\(654\) | −1.18536 | + | 0.0889709i | −0.0463511 | + | 0.00347904i | ||||
\(655\) | −40.2863 | + | 27.4558i | −1.57412 | + | 1.07279i | ||||
\(656\) | 34.3956 | 1.34292 | ||||||||
\(657\) | −11.7206 | + | 15.8887i | −0.457264 | + | 0.619877i | ||||
\(658\) | 4.65369 | + | 11.2350i | 0.181420 | + | 0.437986i | ||||
\(659\) | − | 14.6792i | − | 0.571822i | −0.958256 | − | 0.285911i | \(-0.907704\pi\) | ||
0.958256 | − | 0.285911i | \(-0.0922962\pi\) | |||||||
\(660\) | 17.0738 | + | 9.43786i | 0.664598 | + | 0.367368i | ||||
\(661\) | 44.7696i | 1.74133i | 0.491873 | + | 0.870667i | \(0.336312\pi\) | ||||
−0.491873 | + | 0.870667i | \(0.663688\pi\) | |||||||
\(662\) | 24.1522 | − | 10.0042i | 0.938701 | − | 0.388823i | ||||
\(663\) | 9.30739 | − | 28.2960i | 0.361469 | − | 1.09893i | ||||
\(664\) | 10.1421 | − | 24.4853i | 0.393591 | − | 0.950213i | ||||
\(665\) | 3.43289 | + | 5.03712i | 0.133122 | + | 0.195331i | ||||
\(666\) | 7.93821 | + | 1.96672i | 0.307599 | + | 0.0762089i | ||||
\(667\) | − | 15.8887i | − | 0.615213i | ||||||
\(668\) | 24.6005 | + | 24.6005i | 0.951823 | + | 0.951823i | ||||
\(669\) | −11.8551 | + | 36.0416i | −0.458346 | + | 1.39345i | ||||
\(670\) | −5.70171 | + | 8.70487i | −0.220276 | + | 0.336299i | ||||
\(671\) | −21.3707 | −0.825006 | ||||||||
\(672\) | −32.1513 | + | 2.41322i | −1.24026 | + | 0.0930920i | ||||
\(673\) | 47.6661i | 1.83739i | 0.394964 | + | 0.918697i | \(0.370757\pi\) | ||||
−0.394964 | + | 0.918697i | \(0.629243\pi\) | |||||||
\(674\) | 15.1114 | + | 36.4821i | 0.582068 | + | 1.40524i | ||||
\(675\) | −6.25348 | − | 25.2169i | −0.240696 | − | 0.970600i | ||||
\(676\) | 12.2426 | − | 12.2426i | 0.470871 | − | 0.470871i | ||||
\(677\) | − | 1.00547i | − | 0.0386433i | −0.999813 | − | 0.0193217i | \(-0.993849\pi\) | ||
0.999813 | − | 0.0193217i | \(-0.00615066\pi\) | |||||||
\(678\) | 1.63571 | + | 21.7925i | 0.0628189 | + | 0.836935i | ||||
\(679\) | − | 8.97056i | − | 0.344259i | ||||||
\(680\) | 22.8807 | − | 4.76965i | 0.877433 | − | 0.182908i | ||||
\(681\) | 2.24264 | − | 6.81801i | 0.0859382 | − | 0.261267i | ||||
\(682\) | 3.85525 | − | 1.59689i | 0.147625 | − | 0.0611483i | ||||
\(683\) | −14.9678 | −0.572726 | −0.286363 | − | 0.958121i | \(-0.592446\pi\) | ||||
−0.286363 | + | 0.958121i | \(0.592446\pi\) | |||||||
\(684\) | −4.91487 | + | 0.741983i | −0.187925 | + | 0.0283704i | ||||
\(685\) | 15.0903 | + | 22.1421i | 0.576569 | + | 0.846008i | ||||
\(686\) | −13.6360 | + | 5.64823i | −0.520626 | + | 0.215650i | ||||
\(687\) | 31.7774 | + | 10.4525i | 1.21238 | + | 0.398788i | ||||
\(688\) | −24.0669 | −0.917542 | ||||||||
\(689\) | − | 21.3707i | − | 0.814159i | ||||||
\(690\) | −8.92306 | − | 11.1907i | −0.339695 | − | 0.426023i | ||||
\(691\) | −7.17157 | −0.272819 | −0.136410 | − | 0.990653i | \(-0.543556\pi\) | ||||
−0.136410 | + | 0.990653i | \(0.543556\pi\) | |||||||
\(692\) | 30.4608 | + | 30.4608i | 1.15795 | + | 1.15795i | ||||
\(693\) | 14.7595 | − | 20.0083i | 0.560668 | − | 0.760053i | ||||
\(694\) | 0.242641 | − | 0.100505i | 0.00921051 | − | 0.00381512i | ||||
\(695\) | −18.2410 | − | 26.7653i | −0.691922 | − | 1.01527i | ||||
\(696\) | 22.5804 | + | 19.4273i | 0.855906 | + | 0.736391i | ||||
\(697\) | 31.7774i | 1.20365i | ||||||||
\(698\) | −1.26810 | − | 3.06147i | −0.0479983 | − | 0.115878i | ||||
\(699\) | 8.62742 | − | 26.2288i | 0.326319 | − | 0.992065i | ||||
\(700\) | −13.1479 | − | 30.1658i | −0.496945 | − | 1.14016i | ||||
\(701\) | −26.8399 | −1.01373 | −0.506865 | − | 0.862025i | \(-0.669196\pi\) | ||||
−0.506865 | + | 0.862025i | \(0.669196\pi\) | |||||||
\(702\) | 18.1839 | − | 28.9623i | 0.686308 | − | 1.09311i | ||||
\(703\) | 1.59689 | 0.0602280 | ||||||||
\(704\) | −14.2471 | + | 14.2471i | −0.536959 | + | 0.536959i | ||||
\(705\) | −2.80109 | − | 9.72524i | −0.105495 | − | 0.366274i | ||||
\(706\) | −42.2843 | + | 17.5147i | −1.59139 | + | 0.659175i | ||||
\(707\) | 43.4495 | 1.63409 | ||||||||
\(708\) | 7.78793 | − | 3.93268i | 0.292688 | − | 0.147799i | ||||
\(709\) | − | 36.2843i | − | 1.36268i | −0.731965 | − | 0.681342i | \(-0.761397\pi\) | ||
0.731965 | − | 0.681342i | \(-0.238603\pi\) | |||||||
\(710\) | 18.8442 | + | 12.3430i | 0.707209 | + | 0.463223i | ||||
\(711\) | 29.3585 | − | 39.7990i | 1.10103 | − | 1.49258i | ||||
\(712\) | 13.1626 | + | 5.45214i | 0.493290 | + | 0.204328i | ||||
\(713\) | −3.06147 | −0.114653 | ||||||||
\(714\) | −2.22952 | − | 29.7039i | −0.0834379 | − | 1.11164i | ||||
\(715\) | −21.6569 | + | 14.7595i | −0.809920 | + | 0.551975i | ||||
\(716\) | 13.6360 | + | 13.6360i | 0.509602 | + | 0.509602i | ||||
\(717\) | 12.0335 | − | 36.5838i | 0.449398 | − | 1.36625i | ||||
\(718\) | −12.0335 | + | 4.98442i | −0.449085 | + | 0.186017i | ||||
\(719\) | 2.95068 | 0.110042 | 0.0550208 | − | 0.998485i | \(-0.482477\pi\) | ||||
0.0550208 | + | 0.998485i | \(0.482477\pi\) | |||||||
\(720\) | 26.8141 | + | 1.00195i | 0.999303 | + | 0.0373403i | ||||
\(721\) | −19.7990 | −0.737353 | ||||||||
\(722\) | 23.9280 | − | 9.91131i | 0.890508 | − | 0.368861i | ||||
\(723\) | −3.50981 | + | 10.6704i | −0.130531 | + | 0.396837i | ||||
\(724\) | 14.6274 | + | 14.6274i | 0.543624 | + | 0.543624i | ||||
\(725\) | −11.1175 | + | 28.2960i | −0.412892 | + | 1.05089i | ||||
\(726\) | 0.853782 | + | 11.3749i | 0.0316868 | + | 0.422163i | ||||
\(727\) | −47.1015 | −1.74690 | −0.873449 | − | 0.486915i | \(-0.838122\pi\) | ||||
−0.873449 | + | 0.486915i | \(0.838122\pi\) | |||||||
\(728\) | 16.5754 | − | 40.0166i | 0.614327 | − | 1.48312i | ||||
\(729\) | 8.89949 | − | 25.4912i | 0.329611 | − | 0.944117i | ||||
\(730\) | 11.4034 | − | 17.4097i | 0.422059 | − | 0.644363i | ||||
\(731\) | − | 22.2349i | − | 0.822388i | ||||||
\(732\) | −26.2383 | + | 13.2496i | −0.969795 | + | 0.489719i | ||||
\(733\) | 9.63811 | 0.355992 | 0.177996 | − | 0.984031i | \(-0.443039\pi\) | ||||
0.177996 | + | 0.984031i | \(0.443039\pi\) | |||||||
\(734\) | −2.82411 | + | 1.16979i | −0.104240 | + | 0.0431776i | ||||
\(735\) | −14.2482 | + | 4.10381i | −0.525553 | + | 0.151371i | ||||
\(736\) | 13.6569 | − | 5.65685i | 0.503398 | − | 0.208514i | ||||
\(737\) | 8.28772 | 0.305282 | ||||||||
\(738\) | −8.77332 | + | 35.4114i | −0.322950 | + | 1.30351i | ||||
\(739\) | −27.1716 | −0.999522 | −0.499761 | − | 0.866163i | \(-0.666579\pi\) | ||||
−0.499761 | + | 0.866163i | \(0.666579\pi\) | |||||||
\(740\) | −8.47001 | − | 1.60423i | −0.311364 | − | 0.0589728i | ||||
\(741\) | 2.08644 | − | 6.34315i | 0.0766474 | − | 0.233021i | ||||
\(742\) | −8.17821 | − | 19.7439i | −0.300232 | − | 0.724823i | ||||
\(743\) | 15.2304i | 0.558750i | 0.960182 | + | 0.279375i | \(0.0901272\pi\) | ||||
−0.960182 | + | 0.279375i | \(0.909873\pi\) | |||||||
\(744\) | 3.74330 | − | 4.35083i | 0.137236 | − | 0.159509i | ||||
\(745\) | 18.4853 | + | 27.1237i | 0.677248 | + | 0.993736i | ||||
\(746\) | 31.8771 | − | 13.2039i | 1.16710 | − | 0.483429i | ||||
\(747\) | 22.6215 | + | 16.6871i | 0.827676 | + | 0.610551i | ||||
\(748\) | −13.1626 | − | 13.1626i | −0.481273 | − | 0.481273i | ||||
\(749\) | −27.8832 | −1.01883 | ||||||||
\(750\) | 8.06076 | + | 26.1730i | 0.294338 | + | 0.955702i | ||||
\(751\) | 35.1127i | 1.28128i | 0.767841 | + | 0.640640i | \(0.221331\pi\) | ||||
−0.767841 | + | 0.640640i | \(0.778669\pi\) | |||||||
\(752\) | 10.4525 | 0.381164 | ||||||||
\(753\) | 19.2974 | + | 6.34746i | 0.703235 | + | 0.231314i | ||||
\(754\) | −36.9706 | + | 15.3137i | −1.34639 | + | 0.557692i | ||||
\(755\) | 5.22625 | − | 3.56178i | 0.190203 | − | 0.129627i | ||||
\(756\) | 5.71637 | − | 33.7164i | 0.207902 | − | 1.22625i | ||||
\(757\) | 12.8319 | 0.466383 | 0.233192 | − | 0.972431i | \(-0.425083\pi\) | ||||
0.233192 | + | 0.972431i | \(0.425083\pi\) | |||||||
\(758\) | −27.2137 | + | 11.2723i | −0.988444 | + | 0.409427i | ||||
\(759\) | −3.56178 | + | 10.8284i | −0.129284 | + | 0.393047i | ||||
\(760\) | 5.12918 | − | 1.06922i | 0.186055 | − | 0.0387845i | ||||
\(761\) | 17.1978i | 0.623420i | 0.950177 | + | 0.311710i | \(0.100902\pi\) | ||||
−0.950177 | + | 0.311710i | \(0.899098\pi\) | |||||||
\(762\) | 0.603305 | + | 8.03782i | 0.0218554 | + | 0.291180i | ||||
\(763\) | − | 1.59689i | − | 0.0578115i | ||||||
\(764\) | 7.12356 | − | 7.12356i | 0.257722 | − | 0.257722i | ||||
\(765\) | −0.925677 | + | 24.7730i | −0.0334679 | + | 0.895670i | ||||
\(766\) | 15.7574 | + | 38.0416i | 0.569337 | + | 1.37450i | ||||
\(767\) | 11.7206i | 0.423207i | ||||||||
\(768\) | −8.65914 | + | 26.3253i | −0.312460 | + | 0.949931i | ||||
\(769\) | −49.5980 | −1.78855 | −0.894274 | − | 0.447519i | \(-0.852308\pi\) | ||||
−0.894274 | + | 0.447519i | \(0.852308\pi\) | |||||||
\(770\) | −14.3601 | + | 21.9237i | −0.517502 | + | 0.790077i | ||||
\(771\) | −8.82843 | + | 26.8399i | −0.317948 | + | 0.966616i | ||||
\(772\) | 27.9222 | + | 27.9222i | 1.00494 | + | 1.00494i | ||||
\(773\) | − | 18.8490i | − | 0.677952i | −0.940795 | − | 0.338976i | \(-0.889919\pi\) | ||
0.940795 | − | 0.338976i | \(-0.110081\pi\) | |||||||
\(774\) | 6.13877 | − | 24.7777i | 0.220653 | − | 0.890616i | ||||
\(775\) | 5.45214 | + | 2.14214i | 0.195847 | + | 0.0769478i | ||||
\(776\) | −7.12356 | − | 2.95068i | −0.255721 | − | 0.105923i | ||||
\(777\) | −3.43289 | + | 10.4366i | −0.123154 | + | 0.374410i | ||||
\(778\) | −9.87197 | + | 4.08910i | −0.353927 | + | 0.146602i | ||||
\(779\) | 7.12356i | 0.255228i | ||||||||
\(780\) | −17.4389 | + | 31.5483i | −0.624413 | + | 1.12961i | ||||
\(781\) | − | 17.9411i | − | 0.641984i | ||||||
\(782\) | 5.22625 | + | 12.6173i | 0.186890 | + | 0.451193i | ||||
\(783\) | −25.7607 | + | 18.2919i | −0.920611 | + | 0.653699i | ||||
\(784\) | − | 15.3137i | − | 0.546918i | ||||||
\(785\) | 7.28225 | + | 10.6853i | 0.259915 | + | 0.381376i | ||||
\(786\) | 53.2560 | − | 3.99730i | 1.89958 | − | 0.142579i | ||||
\(787\) | − | 48.2307i | − | 1.71924i | −0.510935 | − | 0.859619i | \(-0.670701\pi\) | ||
0.510935 | − | 0.859619i | \(-0.329299\pi\) | |||||||
\(788\) | −16.9469 | − | 16.9469i | −0.603707 | − | 0.603707i | ||||
\(789\) | 36.6086 | + | 12.0416i | 1.30330 | + | 0.428693i | ||||
\(790\) | −28.5640 | + | 43.6090i | −1.01626 | + | 1.55154i | ||||
\(791\) | −29.3585 | −1.04387 | ||||||||
\(792\) | −11.0339 | − | 18.3019i | −0.392071 | − | 0.650330i | ||||
\(793\) | − | 39.4879i | − | 1.40226i | ||||||
\(794\) | 35.4388 | − | 14.6792i | 1.25768 | − | 0.520947i | ||||
\(795\) | 4.92252 | + | 17.0907i | 0.174584 | + | 0.606146i | ||||
\(796\) | −12.9706 | − | 12.9706i | −0.459729 | − | 0.459729i | ||||
\(797\) | − | 8.92177i | − | 0.316025i | −0.987437 | − | 0.158013i | \(-0.949491\pi\) | ||
0.987437 | − | 0.158013i | \(-0.0505087\pi\) | |||||||
\(798\) | −0.499794 | − | 6.65875i | −0.0176925 | − | 0.235717i | ||||
\(799\) | 9.65685i | 0.341635i | ||||||||
\(800\) | −28.2795 | + | 0.518420i | −0.999832 | + | 0.0183289i | ||||
\(801\) | −8.97056 | + | 12.1607i | −0.316959 | + | 0.429677i | ||||
\(802\) | 8.17821 | + | 19.7439i | 0.288783 | + | 0.697183i | ||||
\(803\) | −16.5754 | −0.584935 | ||||||||
\(804\) | 10.1754 | − | 5.13829i | 0.358859 | − | 0.181214i | ||||
\(805\) | 15.8887 | − | 10.8284i | 0.560003 | − | 0.381652i | ||||
\(806\) | 2.95068 | + | 7.12356i | 0.103933 | + | 0.250917i | ||||
\(807\) | 5.21828 | − | 15.8645i | 0.183692 | − | 0.558456i | ||||
\(808\) | 14.2918 | − | 34.5035i | 0.502784 | − | 1.21383i | ||||
\(809\) | − | 4.17289i | − | 0.146711i | −0.997306 | − | 0.0733555i | \(-0.976629\pi\) | ||
0.997306 | − | 0.0733555i | \(-0.0233708\pi\) | |||||||
\(810\) | −7.87103 | + | 27.3504i | −0.276560 | + | 0.960997i | ||||
\(811\) | −14.4853 | −0.508647 | −0.254324 | − | 0.967119i | \(-0.581853\pi\) | ||||
−0.254324 | + | 0.967119i | \(0.581853\pi\) | |||||||
\(812\) | −28.2960 | + | 28.2960i | −0.992996 | + | 0.992996i | ||||
\(813\) | −23.2685 | − | 7.65367i | −0.816061 | − | 0.268426i | ||||
\(814\) | 2.62742 | + | 6.34315i | 0.0920909 | + | 0.222327i | ||||
\(815\) | 11.1175 | − | 7.57675i | 0.389428 | − | 0.265402i | ||||
\(816\) | −24.3214 | − | 8.00000i | −0.851418 | − | 0.280056i | ||||
\(817\) | − | 4.98442i | − | 0.174383i | ||||||
\(818\) | 16.7611 | − | 6.94269i | 0.586040 | − | 0.242746i | ||||
\(819\) | 36.9706 | + | 27.2720i | 1.29186 | + | 0.952962i | ||||
\(820\) | 7.15631 | − | 37.7837i | 0.249909 | − | 1.31946i | ||||
\(821\) | 23.8893 | 0.833741 | 0.416870 | − | 0.908966i | \(-0.363127\pi\) | ||||
0.416870 | + | 0.908966i | \(0.363127\pi\) | |||||||
\(822\) | −2.19699 | − | 29.2705i | −0.0766289 | − | 1.02093i | ||||
\(823\) | −23.5023 | −0.819239 | −0.409620 | − | 0.912256i | \(-0.634339\pi\) | ||||
−0.409620 | + | 0.912256i | \(0.634339\pi\) | |||||||
\(824\) | −6.51246 | + | 15.7225i | −0.226872 | + | 0.547718i | ||||
\(825\) | 13.9199 | − | 16.7920i | 0.484628 | − | 0.584624i | ||||
\(826\) | 4.48528 | + | 10.8284i | 0.156063 | + | 0.376769i | ||||
\(827\) | −35.5014 | −1.23450 | −0.617252 | − | 0.786766i | \(-0.711754\pi\) | ||||
−0.617252 | + | 0.786766i | \(0.711754\pi\) | |||||||
\(828\) | 2.34045 | + | 15.5031i | 0.0813364 | + | 0.538769i | ||||
\(829\) | − | 5.17157i | − | 0.179616i | −0.995959 | − | 0.0898081i | \(-0.971375\pi\) | ||
0.995959 | − | 0.0898081i | \(-0.0286254\pi\) | |||||||
\(830\) | −24.7870 | − | 16.2356i | −0.860370 | − | 0.563544i | ||||
\(831\) | 8.16679 | − | 24.8284i | 0.283303 | − | 0.861289i | ||||
\(832\) | −26.3253 | − | 26.3253i | −0.912664 | − | 0.912664i | ||||
\(833\) | 14.1480 | 0.490200 | ||||||||
\(834\) | 2.65571 | + | 35.3820i | 0.0919598 | + | 1.22518i | ||||
\(835\) | 32.1421 | − | 21.9054i | 1.11232 | − | 0.758069i | ||||
\(836\) | −2.95068 | − | 2.95068i | −0.102051 | − | 0.102051i | ||||
\(837\) | 3.52452 | + | 4.96362i | 0.121825 | + | 0.171568i | ||||
\(838\) | 1.36303 | + | 3.29066i | 0.0470853 | + | 0.113674i | ||||
\(839\) | 53.6799 | 1.85323 | 0.926617 | − | 0.376006i | \(-0.122703\pi\) | ||||
0.926617 | + | 0.376006i | \(0.122703\pi\) | |||||||
\(840\) | −4.03842 | + | 35.8204i | −0.139339 | + | 1.23592i | ||||
\(841\) | 7.97056 | 0.274847 | ||||||||
\(842\) | 18.8490 | + | 45.5055i | 0.649580 | + | 1.56822i | ||||
\(843\) | −5.86030 | − | 1.92762i | −0.201840 | − | 0.0663908i | ||||
\(844\) | 26.1421 | − | 26.1421i | 0.899849 | − | 0.899849i | ||||
\(845\) | −10.9014 | − | 15.9958i | −0.375020 | − | 0.550272i | ||||
\(846\) | −2.66613 | + | 10.7612i | −0.0916634 | + | 0.369978i | ||||
\(847\) | −15.3241 | −0.526543 | ||||||||
\(848\) | −18.3688 | −0.630787 | ||||||||
\(849\) | 29.6985 | + | 9.76869i | 1.01925 | + | 0.335261i | ||||
\(850\) | −0.478958 | − | 26.1269i | −0.0164281 | − | 0.896144i | ||||
\(851\) | − | 5.03712i | − | 0.172670i | ||||||
\(852\) | −11.1233 | − | 22.0276i | −0.381078 | − | 0.754652i | ||||
\(853\) | 36.4311 | 1.24738 | 0.623688 | − | 0.781673i | \(-0.285633\pi\) | ||||
0.623688 | + | 0.781673i | \(0.285633\pi\) | |||||||
\(854\) | −15.1114 | − | 36.4821i | −0.517100 | − | 1.24839i | ||||
\(855\) | −0.207510 | + | 5.55338i | −0.00709668 | + | 0.189922i | ||||
\(856\) | −9.17157 | + | 22.1421i | −0.313478 | + | 0.756803i | ||||
\(857\) | −28.5587 | −0.975546 | −0.487773 | − | 0.872971i | \(-0.662191\pi\) | ||||
−0.487773 | + | 0.872971i | \(0.662191\pi\) | |||||||
\(858\) | 28.6290 | − | 2.14884i | 0.977377 | − | 0.0733602i | ||||
\(859\) | 3.85786 | 0.131629 | 0.0658143 | − | 0.997832i | \(-0.479035\pi\) | ||||
0.0658143 | + | 0.997832i | \(0.479035\pi\) | |||||||
\(860\) | −5.00733 | + | 26.4376i | −0.170749 | + | 0.901515i | ||||
\(861\) | −46.5563 | − | 15.3137i | −1.58663 | − | 0.521890i | ||||
\(862\) | −35.6326 | + | 14.7595i | −1.21365 | + | 0.502711i | ||||
\(863\) | − | 20.0852i | − | 0.683710i | −0.939753 | − | 0.341855i | \(-0.888945\pi\) | ||
0.939753 | − | 0.341855i | \(-0.111055\pi\) | |||||||
\(864\) | −24.8940 | − | 15.6297i | −0.846912 | − | 0.531732i | ||||
\(865\) | 39.7990 | − | 27.1237i | 1.35321 | − | 0.922234i | ||||
\(866\) | −12.7718 | − | 30.8338i | −0.434003 | − | 1.04778i | ||||
\(867\) | −1.80930 | + | 5.50057i | −0.0614470 | + | 0.186809i | ||||
\(868\) | 5.45214 | + | 5.45214i | 0.185058 | + | 0.185058i | ||||
\(869\) | 41.5192 | 1.40844 | ||||||||
\(870\) | 26.0390 | − | 20.7626i | 0.882806 | − | 0.703918i | ||||
\(871\) | 15.3137i | 0.518885i | ||||||||
\(872\) | −1.26810 | − | 0.525265i | −0.0429433 | − | 0.0177877i | ||||
\(873\) | 4.85483 | − | 6.58132i | 0.164311 | − | 0.222744i | ||||
\(874\) | 1.17157 | + | 2.82843i | 0.0396290 | + | 0.0956730i | ||||
\(875\) | −35.8728 | + | 8.16679i | −1.21272 | + | 0.276088i | ||||
\(876\) | −20.3508 | + | 10.2766i | −0.687591 | + | 0.347214i | ||||
\(877\) | −35.3019 | −1.19206 | −0.596031 | − | 0.802962i | \(-0.703256\pi\) | ||||
−0.596031 | + | 0.802962i | \(0.703256\pi\) | |||||||
\(878\) | −15.4161 | − | 37.2178i | −0.520269 | − | 1.25604i | ||||
\(879\) | −3.99390 | − | 1.31371i | −0.134711 | − | 0.0443103i | ||||
\(880\) | 12.6863 | + | 18.6148i | 0.427655 | + | 0.627504i | ||||
\(881\) | 42.9945i | 1.44852i | 0.689526 | + | 0.724261i | \(0.257819\pi\) | ||||
−0.689526 | + | 0.724261i | \(0.742181\pi\) | |||||||
\(882\) | 15.7660 | + | 3.90608i | 0.530868 | + | 0.131525i | ||||
\(883\) | 37.7941i | 1.27187i | 0.771741 | + | 0.635937i | \(0.219386\pi\) | ||||
−0.771741 | + | 0.635937i | \(0.780614\pi\) | |||||||
\(884\) | 24.3214 | − | 24.3214i | 0.818016 | − | 0.818016i | ||||
\(885\) | −2.69972 | − | 9.37330i | −0.0907501 | − | 0.315080i | ||||
\(886\) | 2.10051 | − | 0.870058i | 0.0705678 | − | 0.0292302i | ||||
\(887\) | 12.5404i | 0.421064i | 0.977587 | + | 0.210532i | \(0.0675197\pi\) | ||||
−0.977587 | + | 0.210532i | \(0.932480\pi\) | |||||||
\(888\) | 7.15854 | + | 6.15896i | 0.240225 | + | 0.206681i | ||||
\(889\) | −10.8284 | −0.363174 | ||||||||
\(890\) | 8.72780 | − | 13.3248i | 0.292556 | − | 0.446650i | ||||
\(891\) | 21.6569 | − | 6.69145i | 0.725532 | − | 0.224172i | ||||
\(892\) | −30.9790 | + | 30.9790i | −1.03725 | + | 1.03725i | ||||
\(893\) | 2.16478i | 0.0724417i | ||||||||
\(894\) | −2.69127 | − | 35.8558i | −0.0900097 | − | 1.19920i | ||||
\(895\) | 17.8163 | − | 12.1421i | 0.595534 | − | 0.405867i | ||||
\(896\) | −34.3956 | − | 14.2471i | −1.14908 | − | 0.475963i | ||||
\(897\) | −20.0083 | − | 6.58132i | −0.668059 | − | 0.219744i | ||||
\(898\) | −18.9455 | − | 45.7385i | −0.632219 | − | 1.52631i | ||||
\(899\) | − | 7.12356i | − | 0.237584i | ||||||
\(900\) | 6.67955 | − | 29.2469i | 0.222652 | − | 0.974898i | ||||
\(901\) | − | 16.9706i | − | 0.565371i | ||||||
\(902\) | −28.2960 | + | 11.7206i | −0.942155 | + | 0.390253i | ||||
\(903\) | 32.5758 | + | 10.7151i | 1.08406 | + | 0.356577i | ||||
\(904\) | −9.65685 | + | 23.3137i | −0.321182 | + | 0.775402i | ||||
\(905\) | 19.1116 | − | 13.0249i | 0.635292 | − | 0.432963i | ||||
\(906\) | −6.90877 | + | 0.518560i | −0.229528 | + | 0.0172280i | ||||
\(907\) | − | 7.61362i | − | 0.252806i | −0.991979 | − | 0.126403i | \(-0.959657\pi\) | ||
0.991979 | − | 0.126403i | \(-0.0403433\pi\) | |||||||
\(908\) | 5.86030 | − | 5.86030i | 0.194481 | − | 0.194481i | ||||
\(909\) | 31.8771 | + | 23.5147i | 1.05730 | + | 0.779934i | ||||
\(910\) | −40.5098 | − | 26.5340i | −1.34289 | − | 0.879594i | ||||
\(911\) | −2.95068 | −0.0977603 | −0.0488801 | − | 0.998805i | \(-0.515565\pi\) | ||||
−0.0488801 | + | 0.998805i | \(0.515565\pi\) | |||||||
\(912\) | −5.45214 | − | 1.79337i | −0.180538 | − | 0.0593843i | ||||
\(913\) | 23.5992i | 0.781019i | ||||||||
\(914\) | −10.0742 | − | 24.3214i | −0.333226 | − | 0.804479i | ||||
\(915\) | 9.09563 | + | 31.5796i | 0.300692 | + | 1.04399i | ||||
\(916\) | 27.3137 | + | 27.3137i | 0.902470 | + | 0.902470i | ||||
\(917\) | 71.7456i | 2.36925i | ||||||||
\(918\) | 14.4399 | − | 22.9991i | 0.476589 | − | 0.759083i | ||||
\(919\) | − | 6.14214i | − | 0.202610i | −0.994855 | − | 0.101305i | \(-0.967698\pi\) | ||
0.994855 | − | 0.101305i | \(-0.0323019\pi\) | |||||||
\(920\) | −3.37265 | − | 16.1791i | −0.111193 | − | 0.533408i | ||||
\(921\) | −11.7574 | − | 3.86733i | −0.387418 | − | 0.127433i | ||||
\(922\) | 5.21828 | − | 2.16148i | 0.171855 | − | 0.0711846i | ||||
\(923\) | 33.1509 | 1.09117 | ||||||||
\(924\) | 25.6274 | − | 12.9411i | 0.843079 | − | 0.425731i | ||||
\(925\) | −3.52452 | + | 8.97056i | −0.115885 | + | 0.294950i | ||||
\(926\) | −33.6579 | + | 13.9416i | −1.10607 | + | 0.458149i | ||||
\(927\) | −14.5257 | − | 10.7151i | −0.477085 | − | 0.351931i | ||||
\(928\) | 13.1626 | + | 31.7774i | 0.432085 | + | 1.04314i | ||||
\(929\) | − | 26.6609i | − | 0.874717i | −0.899287 | − | 0.437359i | \(-0.855914\pi\) | ||
0.899287 | − | 0.437359i | \(-0.144086\pi\) | |||||||
\(930\) | −4.00058 | − | 5.01726i | −0.131184 | − | 0.164522i | ||||
\(931\) | 3.17157 | 0.103944 | ||||||||
\(932\) | 22.5445 | − | 22.5445i | 0.738471 | − | 0.738471i | ||||
\(933\) | −18.6148 | + | 56.5921i | −0.609420 | + | 1.85274i | ||||
\(934\) | 20.7279 | − | 8.58579i | 0.678238 | − | 0.280936i | ||||
\(935\) | −17.1978 | + | 11.7206i | −0.562428 | + | 0.383305i | ||||
\(936\) | 33.8175 | − | 20.3879i | 1.10536 | − | 0.666400i | ||||
\(937\) | − | 8.17821i | − | 0.267170i | −0.991037 | − | 0.133585i | \(-0.957351\pi\) | ||
0.991037 | − | 0.133585i | \(-0.0426490\pi\) | |||||||
\(938\) | 5.86030 | + | 14.1480i | 0.191346 | + | 0.461949i | ||||
\(939\) | −28.0000 | − | 9.21001i | −0.913745 | − | 0.300557i | ||||
\(940\) | 2.17473 | − | 11.4821i | 0.0709320 | − | 0.374505i | ||||
\(941\) | −23.2781 | −0.758846 | −0.379423 | − | 0.925223i | \(-0.623877\pi\) | ||||
−0.379423 | + | 0.925223i | \(0.623877\pi\) | |||||||
\(942\) | −1.06022 | − | 14.1253i | −0.0345440 | − | 0.460229i | ||||
\(943\) | 22.4700 | 0.731724 | ||||||||
\(944\) | 10.0742 | 0.327889 | ||||||||
\(945\) | −35.8482 | − | 13.2944i | −1.16614 | − | 0.432468i | ||||
\(946\) | 19.7990 | − | 8.20101i | 0.643721 | − | 0.266638i | ||||
\(947\) | 21.6160 | 0.702425 | 0.351213 | − | 0.936296i | \(-0.385769\pi\) | ||||
0.351213 | + | 0.936296i | \(0.385769\pi\) | |||||||
\(948\) | 50.9760 | − | 25.7414i | 1.65562 | − | 0.836043i | ||||
\(949\) | − | 30.6274i | − | 0.994208i | ||||||
\(950\) | −0.107368 | − | 5.85688i | −0.00348349 | − | 0.190022i | ||||
\(951\) | −21.8028 | − | 7.17157i | −0.707005 | − | 0.232554i | ||||
\(952\) | 13.1626 | − | 31.7774i | 0.426603 | − | 1.02991i | ||||
\(953\) | −44.0836 | −1.42801 | −0.714004 | − | 0.700142i | \(-0.753120\pi\) | ||||
−0.714004 | + | 0.700142i | \(0.753120\pi\) | |||||||
\(954\) | 4.68535 | − | 18.9113i | 0.151694 | − | 0.612276i | ||||
\(955\) | −6.34315 | − | 9.30739i | −0.205259 | − | 0.301180i | ||||
\(956\) | 31.4449 | − | 31.4449i | 1.01700 | − | 1.01700i | ||||
\(957\) | −25.1961 | − | 8.28772i | −0.814474 | − | 0.267904i | ||||
\(958\) | 25.1961 | − | 10.4366i | 0.814049 | − | 0.337190i | ||||
\(959\) | 39.4327 | 1.27335 | ||||||||
\(960\) | 27.1168 | + | 14.9893i | 0.875191 | + | 0.483778i | ||||
\(961\) | 29.6274 | 0.955723 | ||||||||
\(962\) | −11.7206 | + | 4.85483i | −0.377887 | + | 0.156526i | ||||
\(963\) | −20.4567 | − | 15.0903i | −0.659207 | − | 0.486277i | ||||
\(964\) | −9.17157 | + | 9.17157i | −0.295396 | + | 0.295396i | ||||
\(965\) | 36.4821 | − | 24.8632i | 1.17440 | − | 0.800373i | ||||
\(966\) | −21.0038 | + | 1.57651i | −0.675788 | + | 0.0507234i | ||||
\(967\) | 55.2797 | 1.77768 | 0.888838 | − | 0.458222i | \(-0.151513\pi\) | ||||
0.888838 | + | 0.458222i | \(0.151513\pi\) | |||||||
\(968\) | −5.04054 | + | 12.1689i | −0.162009 | + | 0.391125i | ||||
\(969\) | 1.65685 | − | 5.03712i | 0.0532258 | − | 0.161816i | ||||
\(970\) | −4.72345 | + | 7.21135i | −0.151661 | + | 0.231543i | ||||
\(971\) | − | 13.8150i | − | 0.443345i | −0.975121 | − | 0.221672i | \(-0.928848\pi\) | ||
0.975121 | − | 0.221672i | \(-0.0711516\pi\) | |||||||
\(972\) | 22.4410 | − | 21.6426i | 0.719796 | − | 0.694186i | ||||
\(973\) | −47.6661 | −1.52811 | ||||||||
\(974\) | −11.4230 | + | 4.73157i | −0.366017 | + | 0.151609i | ||||
\(975\) | 31.0276 | + | 25.7206i | 0.993680 | + | 0.823719i | ||||
\(976\) | −33.9411 | −1.08643 | ||||||||
\(977\) | 33.2597 | 1.06407 | 0.532035 | − | 0.846722i | \(-0.321427\pi\) | ||||
0.532035 | + | 0.846722i | \(0.321427\pi\) | |||||||
\(978\) | −14.6966 | + | 1.10310i | −0.469945 | + | 0.0352732i | ||||
\(979\) | −12.6863 | −0.405456 | ||||||||
\(980\) | −16.8222 | − | 3.18615i | −0.537365 | − | 0.101778i | ||||
\(981\) | 0.864233 | − | 1.17157i | 0.0275928 | − | 0.0374054i | ||||
\(982\) | −19.9778 | − | 48.2307i | −0.637517 | − | 1.53910i | ||||
\(983\) | − | 10.0042i | − | 0.319083i | −0.987191 | − | 0.159542i | \(-0.948998\pi\) | ||
0.987191 | − | 0.159542i | \(-0.0510016\pi\) | |||||||
\(984\) | −27.4744 | + | 31.9334i | −0.875852 | + | 1.01800i | ||||
\(985\) | −22.1421 | + | 15.0903i | −0.705507 | + | 0.480815i | ||||
\(986\) | −29.3585 | + | 12.1607i | −0.934965 | + | 0.387275i | ||||
\(987\) | −14.1480 | − | 4.65369i | −0.450336 | − | 0.148129i | ||||
\(988\) | 5.45214 | − | 5.45214i | 0.173456 | − | 0.173456i | ||||
\(989\) | −15.7225 | −0.499945 | ||||||||
\(990\) | −22.4004 | + | 8.31288i | −0.711932 | + | 0.264201i | ||||
\(991\) | − | 19.7990i | − | 0.628936i | −0.949268 | − | 0.314468i | \(-0.898174\pi\) | ||
0.949268 | − | 0.314468i | \(-0.101826\pi\) | |||||||
\(992\) | 6.12293 | − | 2.53620i | 0.194403 | − | 0.0805245i | ||||
\(993\) | −10.0042 | + | 30.4144i | −0.317472 | + | 0.965171i | ||||
\(994\) | 30.6274 | − | 12.6863i | 0.971443 | − | 0.402385i | ||||
\(995\) | −16.9469 | + | 11.5496i | −0.537251 | + | 0.366146i | ||||
\(996\) | 14.6312 | + | 28.9744i | 0.463608 | + | 0.918088i | ||||
\(997\) | −8.50894 | −0.269481 | −0.134740 | − | 0.990881i | \(-0.543020\pi\) | ||||
−0.134740 | + | 0.990881i | \(0.543020\pi\) | |||||||
\(998\) | 48.4901 | − | 20.0852i | 1.53493 | − | 0.635787i | ||||
\(999\) | −8.16679 | + | 5.79899i | −0.258386 | + | 0.183472i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))