Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(149,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.149");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.b (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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(i, \sqrt{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{4} + 9 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 149.2 | ||
Root | \(-1.22474 + 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.149 |
Dual form | 370.2.b.c.149.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 2.44949i | 1.41421i | 0.707107 | + | 0.707107i | \(0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −2.00000 | − | 1.00000i | −0.894427 | − | 0.447214i | ||||
\(6\) | 2.44949 | 1.00000 | ||||||||
\(7\) | 0.449490i | 0.169891i | 0.996386 | + | 0.0849456i | \(0.0270716\pi\) | ||||
−0.996386 | + | 0.0849456i | \(0.972928\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −3.00000 | −1.00000 | ||||||||
\(10\) | −1.00000 | + | 2.00000i | −0.316228 | + | 0.632456i | ||||
\(11\) | −4.89898 | −1.47710 | −0.738549 | − | 0.674200i | \(-0.764489\pi\) | ||||
−0.738549 | + | 0.674200i | \(0.764489\pi\) | |||||||
\(12\) | − | 2.44949i | − | 0.707107i | ||||||
\(13\) | 4.00000i | 1.10940i | 0.832050 | + | 0.554700i | \(0.187167\pi\) | ||||
−0.832050 | + | 0.554700i | \(0.812833\pi\) | |||||||
\(14\) | 0.449490 | 0.120131 | ||||||||
\(15\) | 2.44949 | − | 4.89898i | 0.632456 | − | 1.26491i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | − | 4.89898i | − | 1.18818i | −0.804400 | − | 0.594089i | \(-0.797513\pi\) | ||
0.804400 | − | 0.594089i | \(-0.202487\pi\) | |||||||
\(18\) | 3.00000i | 0.707107i | ||||||||
\(19\) | −8.44949 | −1.93845 | −0.969223 | − | 0.246185i | \(-0.920823\pi\) | ||||
−0.969223 | + | 0.246185i | \(0.920823\pi\) | |||||||
\(20\) | 2.00000 | + | 1.00000i | 0.447214 | + | 0.223607i | ||||
\(21\) | −1.10102 | −0.240262 | ||||||||
\(22\) | 4.89898i | 1.04447i | ||||||||
\(23\) | 0.898979i | 0.187450i | 0.995598 | + | 0.0937251i | \(0.0298775\pi\) | ||||
−0.995598 | + | 0.0937251i | \(0.970123\pi\) | |||||||
\(24\) | −2.44949 | −0.500000 | ||||||||
\(25\) | 3.00000 | + | 4.00000i | 0.600000 | + | 0.800000i | ||||
\(26\) | 4.00000 | 0.784465 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | − | 0.449490i | − | 0.0849456i | ||||||
\(29\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(30\) | −4.89898 | − | 2.44949i | −0.894427 | − | 0.447214i | ||||
\(31\) | −6.44949 | −1.15836 | −0.579181 | − | 0.815199i | \(-0.696628\pi\) | ||||
−0.579181 | + | 0.815199i | \(0.696628\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | − | 12.0000i | − | 2.08893i | ||||||
\(34\) | −4.89898 | −0.840168 | ||||||||
\(35\) | 0.449490 | − | 0.898979i | 0.0759776 | − | 0.151955i | ||||
\(36\) | 3.00000 | 0.500000 | ||||||||
\(37\) | − | 1.00000i | − | 0.164399i | ||||||
\(38\) | 8.44949i | 1.37069i | ||||||||
\(39\) | −9.79796 | −1.56893 | ||||||||
\(40\) | 1.00000 | − | 2.00000i | 0.158114 | − | 0.316228i | ||||
\(41\) | 2.00000 | 0.312348 | 0.156174 | − | 0.987730i | \(-0.450084\pi\) | ||||
0.156174 | + | 0.987730i | \(0.450084\pi\) | |||||||
\(42\) | 1.10102i | 0.169891i | ||||||||
\(43\) | 4.00000i | 0.609994i | 0.952353 | + | 0.304997i | \(0.0986555\pi\) | ||||
−0.952353 | + | 0.304997i | \(0.901344\pi\) | |||||||
\(44\) | 4.89898 | 0.738549 | ||||||||
\(45\) | 6.00000 | + | 3.00000i | 0.894427 | + | 0.447214i | ||||
\(46\) | 0.898979 | 0.132547 | ||||||||
\(47\) | 0.449490i | 0.0655648i | 0.999463 | + | 0.0327824i | \(0.0104368\pi\) | ||||
−0.999463 | + | 0.0327824i | \(0.989563\pi\) | |||||||
\(48\) | 2.44949i | 0.353553i | ||||||||
\(49\) | 6.79796 | 0.971137 | ||||||||
\(50\) | 4.00000 | − | 3.00000i | 0.565685 | − | 0.424264i | ||||
\(51\) | 12.0000 | 1.68034 | ||||||||
\(52\) | − | 4.00000i | − | 0.554700i | ||||||
\(53\) | 7.79796i | 1.07113i | 0.844493 | + | 0.535566i | \(0.179902\pi\) | ||||
−0.844493 | + | 0.535566i | \(0.820098\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 9.79796 | + | 4.89898i | 1.32116 | + | 0.660578i | ||||
\(56\) | −0.449490 | −0.0600656 | ||||||||
\(57\) | − | 20.6969i | − | 2.74138i | ||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 8.44949 | 1.10003 | 0.550015 | − | 0.835155i | \(-0.314622\pi\) | ||||
0.550015 | + | 0.835155i | \(0.314622\pi\) | |||||||
\(60\) | −2.44949 | + | 4.89898i | −0.316228 | + | 0.632456i | ||||
\(61\) | 12.0000 | 1.53644 | 0.768221 | − | 0.640184i | \(-0.221142\pi\) | ||||
0.768221 | + | 0.640184i | \(0.221142\pi\) | |||||||
\(62\) | 6.44949i | 0.819086i | ||||||||
\(63\) | − | 1.34847i | − | 0.169891i | ||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 4.00000 | − | 8.00000i | 0.496139 | − | 0.992278i | ||||
\(66\) | −12.0000 | −1.47710 | ||||||||
\(67\) | 10.4495i | 1.27661i | 0.769784 | + | 0.638304i | \(0.220364\pi\) | ||||
−0.769784 | + | 0.638304i | \(0.779636\pi\) | |||||||
\(68\) | 4.89898i | 0.594089i | ||||||||
\(69\) | −2.20204 | −0.265095 | ||||||||
\(70\) | −0.898979 | − | 0.449490i | −0.107449 | − | 0.0537243i | ||||
\(71\) | −4.89898 | −0.581402 | −0.290701 | − | 0.956814i | \(-0.593888\pi\) | ||||
−0.290701 | + | 0.956814i | \(0.593888\pi\) | |||||||
\(72\) | − | 3.00000i | − | 0.353553i | ||||||
\(73\) | 4.00000i | 0.468165i | 0.972217 | + | 0.234082i | \(0.0752085\pi\) | ||||
−0.972217 | + | 0.234082i | \(0.924791\pi\) | |||||||
\(74\) | −1.00000 | −0.116248 | ||||||||
\(75\) | −9.79796 | + | 7.34847i | −1.13137 | + | 0.848528i | ||||
\(76\) | 8.44949 | 0.969223 | ||||||||
\(77\) | − | 2.20204i | − | 0.250946i | ||||||
\(78\) | 9.79796i | 1.10940i | ||||||||
\(79\) | −1.55051 | −0.174446 | −0.0872230 | − | 0.996189i | \(-0.527799\pi\) | ||||
−0.0872230 | + | 0.996189i | \(0.527799\pi\) | |||||||
\(80\) | −2.00000 | − | 1.00000i | −0.223607 | − | 0.111803i | ||||
\(81\) | −9.00000 | −1.00000 | ||||||||
\(82\) | − | 2.00000i | − | 0.220863i | ||||||
\(83\) | − | 14.4495i | − | 1.58604i | −0.609197 | − | 0.793019i | \(-0.708508\pi\) | ||
0.609197 | − | 0.793019i | \(-0.291492\pi\) | |||||||
\(84\) | 1.10102 | 0.120131 | ||||||||
\(85\) | −4.89898 | + | 9.79796i | −0.531369 | + | 1.06274i | ||||
\(86\) | 4.00000 | 0.431331 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | − | 4.89898i | − | 0.522233i | ||||||
\(89\) | 3.79796 | 0.402583 | 0.201291 | − | 0.979531i | \(-0.435486\pi\) | ||||
0.201291 | + | 0.979531i | \(0.435486\pi\) | |||||||
\(90\) | 3.00000 | − | 6.00000i | 0.316228 | − | 0.632456i | ||||
\(91\) | −1.79796 | −0.188477 | ||||||||
\(92\) | − | 0.898979i | − | 0.0937251i | ||||||
\(93\) | − | 15.7980i | − | 1.63817i | ||||||
\(94\) | 0.449490 | 0.0463613 | ||||||||
\(95\) | 16.8990 | + | 8.44949i | 1.73380 | + | 0.866899i | ||||
\(96\) | 2.44949 | 0.250000 | ||||||||
\(97\) | 2.00000i | 0.203069i | 0.994832 | + | 0.101535i | \(0.0323753\pi\) | ||||
−0.994832 | + | 0.101535i | \(0.967625\pi\) | |||||||
\(98\) | − | 6.79796i | − | 0.686698i | ||||||
\(99\) | 14.6969 | 1.47710 | ||||||||
\(100\) | −3.00000 | − | 4.00000i | −0.300000 | − | 0.400000i | ||||
\(101\) | −18.6969 | −1.86041 | −0.930207 | − | 0.367034i | \(-0.880373\pi\) | ||||
−0.930207 | + | 0.367034i | \(0.880373\pi\) | |||||||
\(102\) | − | 12.0000i | − | 1.18818i | ||||||
\(103\) | − | 9.79796i | − | 0.965422i | −0.875780 | − | 0.482711i | \(-0.839652\pi\) | ||
0.875780 | − | 0.482711i | \(-0.160348\pi\) | |||||||
\(104\) | −4.00000 | −0.392232 | ||||||||
\(105\) | 2.20204 | + | 1.10102i | 0.214897 | + | 0.107449i | ||||
\(106\) | 7.79796 | 0.757405 | ||||||||
\(107\) | 10.4495i | 1.01019i | 0.863064 | + | 0.505095i | \(0.168543\pi\) | ||||
−0.863064 | + | 0.505095i | \(0.831457\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −13.7980 | −1.32160 | −0.660802 | − | 0.750560i | \(-0.729784\pi\) | ||||
−0.660802 | + | 0.750560i | \(0.729784\pi\) | |||||||
\(110\) | 4.89898 | − | 9.79796i | 0.467099 | − | 0.934199i | ||||
\(111\) | 2.44949 | 0.232495 | ||||||||
\(112\) | 0.449490i | 0.0424728i | ||||||||
\(113\) | − | 12.8990i | − | 1.21343i | −0.794918 | − | 0.606717i | \(-0.792486\pi\) | ||
0.794918 | − | 0.606717i | \(-0.207514\pi\) | |||||||
\(114\) | −20.6969 | −1.93845 | ||||||||
\(115\) | 0.898979 | − | 1.79796i | 0.0838303 | − | 0.167661i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | − | 12.0000i | − | 1.10940i | ||||||
\(118\) | − | 8.44949i | − | 0.777839i | ||||||
\(119\) | 2.20204 | 0.201861 | ||||||||
\(120\) | 4.89898 | + | 2.44949i | 0.447214 | + | 0.223607i | ||||
\(121\) | 13.0000 | 1.18182 | ||||||||
\(122\) | − | 12.0000i | − | 1.08643i | ||||||
\(123\) | 4.89898i | 0.441726i | ||||||||
\(124\) | 6.44949 | 0.579181 | ||||||||
\(125\) | −2.00000 | − | 11.0000i | −0.178885 | − | 0.983870i | ||||
\(126\) | −1.34847 | −0.120131 | ||||||||
\(127\) | 17.3485i | 1.53943i | 0.638389 | + | 0.769714i | \(0.279601\pi\) | ||||
−0.638389 | + | 0.769714i | \(0.720399\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −9.79796 | −0.862662 | ||||||||
\(130\) | −8.00000 | − | 4.00000i | −0.701646 | − | 0.350823i | ||||
\(131\) | 14.2474 | 1.24481 | 0.622403 | − | 0.782697i | \(-0.286157\pi\) | ||||
0.622403 | + | 0.782697i | \(0.286157\pi\) | |||||||
\(132\) | 12.0000i | 1.04447i | ||||||||
\(133\) | − | 3.79796i | − | 0.329325i | ||||||
\(134\) | 10.4495 | 0.902698 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.89898 | 0.420084 | ||||||||
\(137\) | 19.5959i | 1.67419i | 0.547056 | + | 0.837096i | \(0.315749\pi\) | ||||
−0.547056 | + | 0.837096i | \(0.684251\pi\) | |||||||
\(138\) | 2.20204i | 0.187450i | ||||||||
\(139\) | −13.7980 | −1.17033 | −0.585164 | − | 0.810915i | \(-0.698970\pi\) | ||||
−0.585164 | + | 0.810915i | \(0.698970\pi\) | |||||||
\(140\) | −0.449490 | + | 0.898979i | −0.0379888 | + | 0.0759776i | ||||
\(141\) | −1.10102 | −0.0927227 | ||||||||
\(142\) | 4.89898i | 0.411113i | ||||||||
\(143\) | − | 19.5959i | − | 1.63869i | ||||||
\(144\) | −3.00000 | −0.250000 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 4.00000 | 0.331042 | ||||||||
\(147\) | 16.6515i | 1.37340i | ||||||||
\(148\) | 1.00000i | 0.0821995i | ||||||||
\(149\) | −10.6969 | −0.876327 | −0.438164 | − | 0.898895i | \(-0.644371\pi\) | ||||
−0.438164 | + | 0.898895i | \(0.644371\pi\) | |||||||
\(150\) | 7.34847 | + | 9.79796i | 0.600000 | + | 0.800000i | ||||
\(151\) | −8.00000 | −0.651031 | −0.325515 | − | 0.945537i | \(-0.605538\pi\) | ||||
−0.325515 | + | 0.945537i | \(0.605538\pi\) | |||||||
\(152\) | − | 8.44949i | − | 0.685344i | ||||||
\(153\) | 14.6969i | 1.18818i | ||||||||
\(154\) | −2.20204 | −0.177446 | ||||||||
\(155\) | 12.8990 | + | 6.44949i | 1.03607 | + | 0.518035i | ||||
\(156\) | 9.79796 | 0.784465 | ||||||||
\(157\) | − | 11.7980i | − | 0.941580i | −0.882245 | − | 0.470790i | \(-0.843969\pi\) | ||
0.882245 | − | 0.470790i | \(-0.156031\pi\) | |||||||
\(158\) | 1.55051i | 0.123352i | ||||||||
\(159\) | −19.1010 | −1.51481 | ||||||||
\(160\) | −1.00000 | + | 2.00000i | −0.0790569 | + | 0.158114i | ||||
\(161\) | −0.404082 | −0.0318461 | ||||||||
\(162\) | 9.00000i | 0.707107i | ||||||||
\(163\) | − | 2.20204i | − | 0.172477i | −0.996275 | − | 0.0862386i | \(-0.972515\pi\) | ||
0.996275 | − | 0.0862386i | \(-0.0274847\pi\) | |||||||
\(164\) | −2.00000 | −0.156174 | ||||||||
\(165\) | −12.0000 | + | 24.0000i | −0.934199 | + | 1.86840i | ||||
\(166\) | −14.4495 | −1.12150 | ||||||||
\(167\) | − | 8.00000i | − | 0.619059i | −0.950890 | − | 0.309529i | \(-0.899829\pi\) | ||
0.950890 | − | 0.309529i | \(-0.100171\pi\) | |||||||
\(168\) | − | 1.10102i | − | 0.0849456i | ||||||
\(169\) | −3.00000 | −0.230769 | ||||||||
\(170\) | 9.79796 | + | 4.89898i | 0.751469 | + | 0.375735i | ||||
\(171\) | 25.3485 | 1.93845 | ||||||||
\(172\) | − | 4.00000i | − | 0.304997i | ||||||
\(173\) | 0.202041i | 0.0153609i | 0.999971 | + | 0.00768045i | \(0.00244479\pi\) | ||||
−0.999971 | + | 0.00768045i | \(0.997555\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.79796 | + | 1.34847i | −0.135913 | + | 0.101935i | ||||
\(176\) | −4.89898 | −0.369274 | ||||||||
\(177\) | 20.6969i | 1.55568i | ||||||||
\(178\) | − | 3.79796i | − | 0.284669i | ||||||
\(179\) | −5.34847 | −0.399763 | −0.199882 | − | 0.979820i | \(-0.564056\pi\) | ||||
−0.199882 | + | 0.979820i | \(0.564056\pi\) | |||||||
\(180\) | −6.00000 | − | 3.00000i | −0.447214 | − | 0.223607i | ||||
\(181\) | −18.6969 | −1.38973 | −0.694866 | − | 0.719139i | \(-0.744536\pi\) | ||||
−0.694866 | + | 0.719139i | \(0.744536\pi\) | |||||||
\(182\) | 1.79796i | 0.133274i | ||||||||
\(183\) | 29.3939i | 2.17286i | ||||||||
\(184\) | −0.898979 | −0.0662736 | ||||||||
\(185\) | −1.00000 | + | 2.00000i | −0.0735215 | + | 0.147043i | ||||
\(186\) | −15.7980 | −1.15836 | ||||||||
\(187\) | 24.0000i | 1.75505i | ||||||||
\(188\) | − | 0.449490i | − | 0.0327824i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 8.44949 | − | 16.8990i | 0.612990 | − | 1.22598i | ||||
\(191\) | −3.34847 | −0.242287 | −0.121143 | − | 0.992635i | \(-0.538656\pi\) | ||||
−0.121143 | + | 0.992635i | \(0.538656\pi\) | |||||||
\(192\) | − | 2.44949i | − | 0.176777i | ||||||
\(193\) | 14.0000i | 1.00774i | 0.863779 | + | 0.503871i | \(0.168091\pi\) | ||||
−0.863779 | + | 0.503871i | \(0.831909\pi\) | |||||||
\(194\) | 2.00000 | 0.143592 | ||||||||
\(195\) | 19.5959 | + | 9.79796i | 1.40329 | + | 0.701646i | ||||
\(196\) | −6.79796 | −0.485568 | ||||||||
\(197\) | 2.00000i | 0.142494i | 0.997459 | + | 0.0712470i | \(0.0226979\pi\) | ||||
−0.997459 | + | 0.0712470i | \(0.977302\pi\) | |||||||
\(198\) | − | 14.6969i | − | 1.04447i | ||||||
\(199\) | −1.55051 | −0.109913 | −0.0549564 | − | 0.998489i | \(-0.517502\pi\) | ||||
−0.0549564 | + | 0.998489i | \(0.517502\pi\) | |||||||
\(200\) | −4.00000 | + | 3.00000i | −0.282843 | + | 0.212132i | ||||
\(201\) | −25.5959 | −1.80540 | ||||||||
\(202\) | 18.6969i | 1.31551i | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −12.0000 | −0.840168 | ||||||||
\(205\) | −4.00000 | − | 2.00000i | −0.279372 | − | 0.139686i | ||||
\(206\) | −9.79796 | −0.682656 | ||||||||
\(207\) | − | 2.69694i | − | 0.187450i | ||||||
\(208\) | 4.00000i | 0.277350i | ||||||||
\(209\) | 41.3939 | 2.86327 | ||||||||
\(210\) | 1.10102 | − | 2.20204i | 0.0759776 | − | 0.151955i | ||||
\(211\) | 22.6969 | 1.56252 | 0.781261 | − | 0.624205i | \(-0.214577\pi\) | ||||
0.781261 | + | 0.624205i | \(0.214577\pi\) | |||||||
\(212\) | − | 7.79796i | − | 0.535566i | ||||||
\(213\) | − | 12.0000i | − | 0.822226i | ||||||
\(214\) | 10.4495 | 0.714312 | ||||||||
\(215\) | 4.00000 | − | 8.00000i | 0.272798 | − | 0.545595i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 2.89898i | − | 0.196796i | ||||||
\(218\) | 13.7980i | 0.934516i | ||||||||
\(219\) | −9.79796 | −0.662085 | ||||||||
\(220\) | −9.79796 | − | 4.89898i | −0.660578 | − | 0.330289i | ||||
\(221\) | 19.5959 | 1.31816 | ||||||||
\(222\) | − | 2.44949i | − | 0.164399i | ||||||
\(223\) | − | 4.44949i | − | 0.297960i | −0.988840 | − | 0.148980i | \(-0.952401\pi\) | ||
0.988840 | − | 0.148980i | \(-0.0475990\pi\) | |||||||
\(224\) | 0.449490 | 0.0300328 | ||||||||
\(225\) | −9.00000 | − | 12.0000i | −0.600000 | − | 0.800000i | ||||
\(226\) | −12.8990 | −0.858027 | ||||||||
\(227\) | 15.1010i | 1.00229i | 0.865363 | + | 0.501145i | \(0.167088\pi\) | ||||
−0.865363 | + | 0.501145i | \(0.832912\pi\) | |||||||
\(228\) | 20.6969i | 1.37069i | ||||||||
\(229\) | 10.0000 | 0.660819 | 0.330409 | − | 0.943838i | \(-0.392813\pi\) | ||||
0.330409 | + | 0.943838i | \(0.392813\pi\) | |||||||
\(230\) | −1.79796 | − | 0.898979i | −0.118554 | − | 0.0592770i | ||||
\(231\) | 5.39388 | 0.354891 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | − | 9.79796i | − | 0.641886i | −0.947099 | − | 0.320943i | \(-0.896000\pi\) | ||
0.947099 | − | 0.320943i | \(-0.104000\pi\) | |||||||
\(234\) | −12.0000 | −0.784465 | ||||||||
\(235\) | 0.449490 | − | 0.898979i | 0.0293215 | − | 0.0586430i | ||||
\(236\) | −8.44949 | −0.550015 | ||||||||
\(237\) | − | 3.79796i | − | 0.246704i | ||||||
\(238\) | − | 2.20204i | − | 0.142737i | ||||||
\(239\) | −26.0454 | −1.68474 | −0.842369 | − | 0.538902i | \(-0.818839\pi\) | ||||
−0.842369 | + | 0.538902i | \(0.818839\pi\) | |||||||
\(240\) | 2.44949 | − | 4.89898i | 0.158114 | − | 0.316228i | ||||
\(241\) | −11.7980 | −0.759973 | −0.379987 | − | 0.924992i | \(-0.624071\pi\) | ||||
−0.379987 | + | 0.924992i | \(0.624071\pi\) | |||||||
\(242\) | − | 13.0000i | − | 0.835672i | ||||||
\(243\) | − | 22.0454i | − | 1.41421i | ||||||
\(244\) | −12.0000 | −0.768221 | ||||||||
\(245\) | −13.5959 | − | 6.79796i | −0.868611 | − | 0.434306i | ||||
\(246\) | 4.89898 | 0.312348 | ||||||||
\(247\) | − | 33.7980i | − | 2.15051i | ||||||
\(248\) | − | 6.44949i | − | 0.409543i | ||||||
\(249\) | 35.3939 | 2.24300 | ||||||||
\(250\) | −11.0000 | + | 2.00000i | −0.695701 | + | 0.126491i | ||||
\(251\) | 6.65153 | 0.419841 | 0.209920 | − | 0.977718i | \(-0.432679\pi\) | ||||
0.209920 | + | 0.977718i | \(0.432679\pi\) | |||||||
\(252\) | 1.34847i | 0.0849456i | ||||||||
\(253\) | − | 4.40408i | − | 0.276882i | ||||||
\(254\) | 17.3485 | 1.08854 | ||||||||
\(255\) | −24.0000 | − | 12.0000i | −1.50294 | − | 0.751469i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | − | 4.89898i | − | 0.305590i | −0.988258 | − | 0.152795i | \(-0.951173\pi\) | ||
0.988258 | − | 0.152795i | \(-0.0488274\pi\) | |||||||
\(258\) | 9.79796i | 0.609994i | ||||||||
\(259\) | 0.449490 | 0.0279299 | ||||||||
\(260\) | −4.00000 | + | 8.00000i | −0.248069 | + | 0.496139i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | − | 14.2474i | − | 0.880210i | ||||||
\(263\) | 26.2474i | 1.61849i | 0.587473 | + | 0.809244i | \(0.300123\pi\) | ||||
−0.587473 | + | 0.809244i | \(0.699877\pi\) | |||||||
\(264\) | 12.0000 | 0.738549 | ||||||||
\(265\) | 7.79796 | − | 15.5959i | 0.479025 | − | 0.958050i | ||||
\(266\) | −3.79796 | −0.232868 | ||||||||
\(267\) | 9.30306i | 0.569338i | ||||||||
\(268\) | − | 10.4495i | − | 0.638304i | ||||||
\(269\) | −10.6969 | −0.652204 | −0.326102 | − | 0.945335i | \(-0.605735\pi\) | ||||
−0.326102 | + | 0.945335i | \(0.605735\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 16.4949 | 1.00199 | 0.500997 | − | 0.865449i | \(-0.332967\pi\) | ||||
0.500997 | + | 0.865449i | \(0.332967\pi\) | |||||||
\(272\) | − | 4.89898i | − | 0.297044i | ||||||
\(273\) | − | 4.40408i | − | 0.266547i | ||||||
\(274\) | 19.5959 | 1.18383 | ||||||||
\(275\) | −14.6969 | − | 19.5959i | −0.886259 | − | 1.18168i | ||||
\(276\) | 2.20204 | 0.132547 | ||||||||
\(277\) | 19.5959i | 1.17740i | 0.808350 | + | 0.588702i | \(0.200361\pi\) | ||||
−0.808350 | + | 0.588702i | \(0.799639\pi\) | |||||||
\(278\) | 13.7980i | 0.827547i | ||||||||
\(279\) | 19.3485 | 1.15836 | ||||||||
\(280\) | 0.898979 | + | 0.449490i | 0.0537243 | + | 0.0268622i | ||||
\(281\) | 8.20204 | 0.489293 | 0.244646 | − | 0.969612i | \(-0.421328\pi\) | ||||
0.244646 | + | 0.969612i | \(0.421328\pi\) | |||||||
\(282\) | 1.10102i | 0.0655648i | ||||||||
\(283\) | − | 23.5959i | − | 1.40263i | −0.712851 | − | 0.701316i | \(-0.752596\pi\) | ||
0.712851 | − | 0.701316i | \(-0.247404\pi\) | |||||||
\(284\) | 4.89898 | 0.290701 | ||||||||
\(285\) | −20.6969 | + | 41.3939i | −1.22598 | + | 2.45196i | ||||
\(286\) | −19.5959 | −1.15873 | ||||||||
\(287\) | 0.898979i | 0.0530651i | ||||||||
\(288\) | 3.00000i | 0.176777i | ||||||||
\(289\) | −7.00000 | −0.411765 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −4.89898 | −0.287183 | ||||||||
\(292\) | − | 4.00000i | − | 0.234082i | ||||||
\(293\) | − | 13.5959i | − | 0.794282i | −0.917758 | − | 0.397141i | \(-0.870002\pi\) | ||
0.917758 | − | 0.397141i | \(-0.129998\pi\) | |||||||
\(294\) | 16.6515 | 0.971137 | ||||||||
\(295\) | −16.8990 | − | 8.44949i | −0.983897 | − | 0.491948i | ||||
\(296\) | 1.00000 | 0.0581238 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.6969i | 0.619657i | ||||||||
\(299\) | −3.59592 | −0.207957 | ||||||||
\(300\) | 9.79796 | − | 7.34847i | 0.565685 | − | 0.424264i | ||||
\(301\) | −1.79796 | −0.103633 | ||||||||
\(302\) | 8.00000i | 0.460348i | ||||||||
\(303\) | − | 45.7980i | − | 2.63102i | ||||||
\(304\) | −8.44949 | −0.484611 | ||||||||
\(305\) | −24.0000 | − | 12.0000i | −1.37424 | − | 0.687118i | ||||
\(306\) | 14.6969 | 0.840168 | ||||||||
\(307\) | 21.1464i | 1.20689i | 0.797404 | + | 0.603445i | \(0.206206\pi\) | ||||
−0.797404 | + | 0.603445i | \(0.793794\pi\) | |||||||
\(308\) | 2.20204i | 0.125473i | ||||||||
\(309\) | 24.0000 | 1.36531 | ||||||||
\(310\) | 6.44949 | − | 12.8990i | 0.366306 | − | 0.732613i | ||||
\(311\) | 7.34847 | 0.416693 | 0.208347 | − | 0.978055i | \(-0.433192\pi\) | ||||
0.208347 | + | 0.978055i | \(0.433192\pi\) | |||||||
\(312\) | − | 9.79796i | − | 0.554700i | ||||||
\(313\) | 21.5959i | 1.22067i | 0.792142 | + | 0.610337i | \(0.208966\pi\) | ||||
−0.792142 | + | 0.610337i | \(0.791034\pi\) | |||||||
\(314\) | −11.7980 | −0.665797 | ||||||||
\(315\) | −1.34847 | + | 2.69694i | −0.0759776 | + | 0.151955i | ||||
\(316\) | 1.55051 | 0.0872230 | ||||||||
\(317\) | − | 18.0000i | − | 1.01098i | −0.862832 | − | 0.505490i | \(-0.831312\pi\) | ||
0.862832 | − | 0.505490i | \(-0.168688\pi\) | |||||||
\(318\) | 19.1010i | 1.07113i | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 2.00000 | + | 1.00000i | 0.111803 | + | 0.0559017i | ||||
\(321\) | −25.5959 | −1.42862 | ||||||||
\(322\) | 0.404082i | 0.0225186i | ||||||||
\(323\) | 41.3939i | 2.30322i | ||||||||
\(324\) | 9.00000 | 0.500000 | ||||||||
\(325\) | −16.0000 | + | 12.0000i | −0.887520 | + | 0.665640i | ||||
\(326\) | −2.20204 | −0.121960 | ||||||||
\(327\) | − | 33.7980i | − | 1.86903i | ||||||
\(328\) | 2.00000i | 0.110432i | ||||||||
\(329\) | −0.202041 | −0.0111389 | ||||||||
\(330\) | 24.0000 | + | 12.0000i | 1.32116 | + | 0.660578i | ||||
\(331\) | −10.2474 | −0.563251 | −0.281625 | − | 0.959524i | \(-0.590874\pi\) | ||||
−0.281625 | + | 0.959524i | \(0.590874\pi\) | |||||||
\(332\) | 14.4495i | 0.793019i | ||||||||
\(333\) | 3.00000i | 0.164399i | ||||||||
\(334\) | −8.00000 | −0.437741 | ||||||||
\(335\) | 10.4495 | − | 20.8990i | 0.570917 | − | 1.14183i | ||||
\(336\) | −1.10102 | −0.0600656 | ||||||||
\(337\) | − | 35.5959i | − | 1.93903i | −0.245026 | − | 0.969517i | \(-0.578796\pi\) | ||
0.245026 | − | 0.969517i | \(-0.421204\pi\) | |||||||
\(338\) | 3.00000i | 0.163178i | ||||||||
\(339\) | 31.5959 | 1.71605 | ||||||||
\(340\) | 4.89898 | − | 9.79796i | 0.265684 | − | 0.531369i | ||||
\(341\) | 31.5959 | 1.71101 | ||||||||
\(342\) | − | 25.3485i | − | 1.37069i | ||||||
\(343\) | 6.20204i | 0.334879i | ||||||||
\(344\) | −4.00000 | −0.215666 | ||||||||
\(345\) | 4.40408 | + | 2.20204i | 0.237108 | + | 0.118554i | ||||
\(346\) | 0.202041 | 0.0108618 | ||||||||
\(347\) | − | 21.7980i | − | 1.17018i | −0.810970 | − | 0.585088i | \(-0.801060\pi\) | ||
0.810970 | − | 0.585088i | \(-0.198940\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −16.8990 | −0.904582 | −0.452291 | − | 0.891871i | \(-0.649393\pi\) | ||||
−0.452291 | + | 0.891871i | \(0.649393\pi\) | |||||||
\(350\) | 1.34847 | + | 1.79796i | 0.0720787 | + | 0.0961049i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.89898i | 0.261116i | ||||||||
\(353\) | − | 6.00000i | − | 0.319348i | −0.987170 | − | 0.159674i | \(-0.948956\pi\) | ||
0.987170 | − | 0.159674i | \(-0.0510443\pi\) | |||||||
\(354\) | 20.6969 | 1.10003 | ||||||||
\(355\) | 9.79796 | + | 4.89898i | 0.520022 | + | 0.260011i | ||||
\(356\) | −3.79796 | −0.201291 | ||||||||
\(357\) | 5.39388i | 0.285474i | ||||||||
\(358\) | 5.34847i | 0.282675i | ||||||||
\(359\) | 3.10102 | 0.163666 | 0.0818328 | − | 0.996646i | \(-0.473923\pi\) | ||||
0.0818328 | + | 0.996646i | \(0.473923\pi\) | |||||||
\(360\) | −3.00000 | + | 6.00000i | −0.158114 | + | 0.316228i | ||||
\(361\) | 52.3939 | 2.75757 | ||||||||
\(362\) | 18.6969i | 0.982689i | ||||||||
\(363\) | 31.8434i | 1.67134i | ||||||||
\(364\) | 1.79796 | 0.0942387 | ||||||||
\(365\) | 4.00000 | − | 8.00000i | 0.209370 | − | 0.418739i | ||||
\(366\) | 29.3939 | 1.53644 | ||||||||
\(367\) | 17.3485i | 0.905583i | 0.891617 | + | 0.452791i | \(0.149572\pi\) | ||||
−0.891617 | + | 0.452791i | \(0.850428\pi\) | |||||||
\(368\) | 0.898979i | 0.0468625i | ||||||||
\(369\) | −6.00000 | −0.312348 | ||||||||
\(370\) | 2.00000 | + | 1.00000i | 0.103975 | + | 0.0519875i | ||||
\(371\) | −3.50510 | −0.181976 | ||||||||
\(372\) | 15.7980i | 0.819086i | ||||||||
\(373\) | 7.79796i | 0.403763i | 0.979410 | + | 0.201882i | \(0.0647056\pi\) | ||||
−0.979410 | + | 0.201882i | \(0.935294\pi\) | |||||||
\(374\) | 24.0000 | 1.24101 | ||||||||
\(375\) | 26.9444 | − | 4.89898i | 1.39140 | − | 0.252982i | ||||
\(376\) | −0.449490 | −0.0231807 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.59592 | −0.390176 | −0.195088 | − | 0.980786i | \(-0.562499\pi\) | ||||
−0.195088 | + | 0.980786i | \(0.562499\pi\) | |||||||
\(380\) | −16.8990 | − | 8.44949i | −0.866899 | − | 0.433450i | ||||
\(381\) | −42.4949 | −2.17708 | ||||||||
\(382\) | 3.34847i | 0.171323i | ||||||||
\(383\) | − | 5.30306i | − | 0.270974i | −0.990779 | − | 0.135487i | \(-0.956740\pi\) | ||
0.990779 | − | 0.135487i | \(-0.0432599\pi\) | |||||||
\(384\) | −2.44949 | −0.125000 | ||||||||
\(385\) | −2.20204 | + | 4.40408i | −0.112226 | + | 0.224453i | ||||
\(386\) | 14.0000 | 0.712581 | ||||||||
\(387\) | − | 12.0000i | − | 0.609994i | ||||||
\(388\) | − | 2.00000i | − | 0.101535i | ||||||
\(389\) | 6.20204 | 0.314456 | 0.157228 | − | 0.987562i | \(-0.449744\pi\) | ||||
0.157228 | + | 0.987562i | \(0.449744\pi\) | |||||||
\(390\) | 9.79796 | − | 19.5959i | 0.496139 | − | 0.992278i | ||||
\(391\) | 4.40408 | 0.222724 | ||||||||
\(392\) | 6.79796i | 0.343349i | ||||||||
\(393\) | 34.8990i | 1.76042i | ||||||||
\(394\) | 2.00000 | 0.100759 | ||||||||
\(395\) | 3.10102 | + | 1.55051i | 0.156029 | + | 0.0780146i | ||||
\(396\) | −14.6969 | −0.738549 | ||||||||
\(397\) | 35.7980i | 1.79665i | 0.439334 | + | 0.898324i | \(0.355215\pi\) | ||||
−0.439334 | + | 0.898324i | \(0.644785\pi\) | |||||||
\(398\) | 1.55051i | 0.0777201i | ||||||||
\(399\) | 9.30306 | 0.465736 | ||||||||
\(400\) | 3.00000 | + | 4.00000i | 0.150000 | + | 0.200000i | ||||
\(401\) | −4.20204 | −0.209840 | −0.104920 | − | 0.994481i | \(-0.533459\pi\) | ||||
−0.104920 | + | 0.994481i | \(0.533459\pi\) | |||||||
\(402\) | 25.5959i | 1.27661i | ||||||||
\(403\) | − | 25.7980i | − | 1.28509i | ||||||
\(404\) | 18.6969 | 0.930207 | ||||||||
\(405\) | 18.0000 | + | 9.00000i | 0.894427 | + | 0.447214i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 4.89898i | 0.242833i | ||||||||
\(408\) | 12.0000i | 0.594089i | ||||||||
\(409\) | 10.0000 | 0.494468 | 0.247234 | − | 0.968956i | \(-0.420478\pi\) | ||||
0.247234 | + | 0.968956i | \(0.420478\pi\) | |||||||
\(410\) | −2.00000 | + | 4.00000i | −0.0987730 | + | 0.197546i | ||||
\(411\) | −48.0000 | −2.36767 | ||||||||
\(412\) | 9.79796i | 0.482711i | ||||||||
\(413\) | 3.79796i | 0.186885i | ||||||||
\(414\) | −2.69694 | −0.132547 | ||||||||
\(415\) | −14.4495 | + | 28.8990i | −0.709298 | + | 1.41860i | ||||
\(416\) | 4.00000 | 0.196116 | ||||||||
\(417\) | − | 33.7980i | − | 1.65509i | ||||||
\(418\) | − | 41.3939i | − | 2.02464i | ||||||
\(419\) | 13.7980 | 0.674074 | 0.337037 | − | 0.941491i | \(-0.390575\pi\) | ||||
0.337037 | + | 0.941491i | \(0.390575\pi\) | |||||||
\(420\) | −2.20204 | − | 1.10102i | −0.107449 | − | 0.0537243i | ||||
\(421\) | 19.5959 | 0.955047 | 0.477523 | − | 0.878619i | \(-0.341535\pi\) | ||||
0.477523 | + | 0.878619i | \(0.341535\pi\) | |||||||
\(422\) | − | 22.6969i | − | 1.10487i | ||||||
\(423\) | − | 1.34847i | − | 0.0655648i | ||||||
\(424\) | −7.79796 | −0.378702 | ||||||||
\(425\) | 19.5959 | − | 14.6969i | 0.950542 | − | 0.712906i | ||||
\(426\) | −12.0000 | −0.581402 | ||||||||
\(427\) | 5.39388i | 0.261028i | ||||||||
\(428\) | − | 10.4495i | − | 0.505095i | ||||||
\(429\) | 48.0000 | 2.31746 | ||||||||
\(430\) | −8.00000 | − | 4.00000i | −0.385794 | − | 0.192897i | ||||
\(431\) | −40.2474 | −1.93865 | −0.969326 | − | 0.245780i | \(-0.920956\pi\) | ||||
−0.969326 | + | 0.245780i | \(0.920956\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 37.3939i | − | 1.79704i | −0.438938 | − | 0.898518i | \(-0.644645\pi\) | ||
0.438938 | − | 0.898518i | \(-0.355355\pi\) | |||||||
\(434\) | −2.89898 | −0.139155 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 13.7980 | 0.660802 | ||||||||
\(437\) | − | 7.59592i | − | 0.363362i | ||||||
\(438\) | 9.79796i | 0.468165i | ||||||||
\(439\) | −35.3485 | −1.68709 | −0.843545 | − | 0.537058i | \(-0.819536\pi\) | ||||
−0.843545 | + | 0.537058i | \(0.819536\pi\) | |||||||
\(440\) | −4.89898 | + | 9.79796i | −0.233550 | + | 0.467099i | ||||
\(441\) | −20.3939 | −0.971137 | ||||||||
\(442\) | − | 19.5959i | − | 0.932083i | ||||||
\(443\) | 39.3485i | 1.86950i | 0.355303 | + | 0.934751i | \(0.384378\pi\) | ||||
−0.355303 | + | 0.934751i | \(0.615622\pi\) | |||||||
\(444\) | −2.44949 | −0.116248 | ||||||||
\(445\) | −7.59592 | − | 3.79796i | −0.360081 | − | 0.180041i | ||||
\(446\) | −4.44949 | −0.210689 | ||||||||
\(447\) | − | 26.2020i | − | 1.23931i | ||||||
\(448\) | − | 0.449490i | − | 0.0212364i | ||||||
\(449\) | −3.79796 | −0.179237 | −0.0896184 | − | 0.995976i | \(-0.528565\pi\) | ||||
−0.0896184 | + | 0.995976i | \(0.528565\pi\) | |||||||
\(450\) | −12.0000 | + | 9.00000i | −0.565685 | + | 0.424264i | ||||
\(451\) | −9.79796 | −0.461368 | ||||||||
\(452\) | 12.8990i | 0.606717i | ||||||||
\(453\) | − | 19.5959i | − | 0.920697i | ||||||
\(454\) | 15.1010 | 0.708726 | ||||||||
\(455\) | 3.59592 | + | 1.79796i | 0.168579 | + | 0.0842896i | ||||
\(456\) | 20.6969 | 0.969223 | ||||||||
\(457\) | 2.00000i | 0.0935561i | 0.998905 | + | 0.0467780i | \(0.0148953\pi\) | ||||
−0.998905 | + | 0.0467780i | \(0.985105\pi\) | |||||||
\(458\) | − | 10.0000i | − | 0.467269i | ||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.898979 | + | 1.79796i | −0.0419151 | + | 0.0838303i | ||||
\(461\) | −14.2020 | −0.661455 | −0.330727 | − | 0.943726i | \(-0.607294\pi\) | ||||
−0.330727 | + | 0.943726i | \(0.607294\pi\) | |||||||
\(462\) | − | 5.39388i | − | 0.250946i | ||||||
\(463\) | 28.4949i | 1.32427i | 0.749384 | + | 0.662135i | \(0.230350\pi\) | ||||
−0.749384 | + | 0.662135i | \(0.769650\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −15.7980 | + | 31.5959i | −0.732613 | + | 1.46523i | ||||
\(466\) | −9.79796 | −0.453882 | ||||||||
\(467\) | 12.0000i | 0.555294i | 0.960683 | + | 0.277647i | \(0.0895545\pi\) | ||||
−0.960683 | + | 0.277647i | \(0.910445\pi\) | |||||||
\(468\) | 12.0000i | 0.554700i | ||||||||
\(469\) | −4.69694 | −0.216884 | ||||||||
\(470\) | −0.898979 | − | 0.449490i | −0.0414668 | − | 0.0207334i | ||||
\(471\) | 28.8990 | 1.33159 | ||||||||
\(472\) | 8.44949i | 0.388919i | ||||||||
\(473\) | − | 19.5959i | − | 0.901021i | ||||||
\(474\) | −3.79796 | −0.174446 | ||||||||
\(475\) | −25.3485 | − | 33.7980i | −1.16307 | − | 1.55076i | ||||
\(476\) | −2.20204 | −0.100930 | ||||||||
\(477\) | − | 23.3939i | − | 1.07113i | ||||||
\(478\) | 26.0454i | 1.19129i | ||||||||
\(479\) | 29.1464 | 1.33173 | 0.665867 | − | 0.746070i | \(-0.268062\pi\) | ||||
0.665867 | + | 0.746070i | \(0.268062\pi\) | |||||||
\(480\) | −4.89898 | − | 2.44949i | −0.223607 | − | 0.111803i | ||||
\(481\) | 4.00000 | 0.182384 | ||||||||
\(482\) | 11.7980i | 0.537382i | ||||||||
\(483\) | − | 0.989795i | − | 0.0450372i | ||||||
\(484\) | −13.0000 | −0.590909 | ||||||||
\(485\) | 2.00000 | − | 4.00000i | 0.0908153 | − | 0.181631i | ||||
\(486\) | −22.0454 | −1.00000 | ||||||||
\(487\) | − | 29.3939i | − | 1.33196i | −0.745968 | − | 0.665982i | \(-0.768013\pi\) | ||
0.745968 | − | 0.665982i | \(-0.231987\pi\) | |||||||
\(488\) | 12.0000i | 0.543214i | ||||||||
\(489\) | 5.39388 | 0.243920 | ||||||||
\(490\) | −6.79796 | + | 13.5959i | −0.307100 | + | 0.614201i | ||||
\(491\) | −38.6969 | −1.74637 | −0.873184 | − | 0.487390i | \(-0.837949\pi\) | ||||
−0.873184 | + | 0.487390i | \(0.837949\pi\) | |||||||
\(492\) | − | 4.89898i | − | 0.220863i | ||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −33.7980 | −1.52064 | ||||||||
\(495\) | −29.3939 | − | 14.6969i | −1.32116 | − | 0.660578i | ||||
\(496\) | −6.44949 | −0.289591 | ||||||||
\(497\) | − | 2.20204i | − | 0.0987750i | ||||||
\(498\) | − | 35.3939i | − | 1.58604i | ||||||
\(499\) | 25.3485 | 1.13475 | 0.567377 | − | 0.823458i | \(-0.307958\pi\) | ||||
0.567377 | + | 0.823458i | \(0.307958\pi\) | |||||||
\(500\) | 2.00000 | + | 11.0000i | 0.0894427 | + | 0.491935i | ||||
\(501\) | 19.5959 | 0.875481 | ||||||||
\(502\) | − | 6.65153i | − | 0.296872i | ||||||
\(503\) | 17.7980i | 0.793572i | 0.917911 | + | 0.396786i | \(0.129874\pi\) | ||||
−0.917911 | + | 0.396786i | \(0.870126\pi\) | |||||||
\(504\) | 1.34847 | 0.0600656 | ||||||||
\(505\) | 37.3939 | + | 18.6969i | 1.66401 | + | 0.832003i | ||||
\(506\) | −4.40408 | −0.195785 | ||||||||
\(507\) | − | 7.34847i | − | 0.326357i | ||||||
\(508\) | − | 17.3485i | − | 0.769714i | ||||||
\(509\) | −30.0000 | −1.32973 | −0.664863 | − | 0.746965i | \(-0.731510\pi\) | ||||
−0.664863 | + | 0.746965i | \(0.731510\pi\) | |||||||
\(510\) | −12.0000 | + | 24.0000i | −0.531369 | + | 1.06274i | ||||
\(511\) | −1.79796 | −0.0795370 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.89898 | −0.216085 | ||||||||
\(515\) | −9.79796 | + | 19.5959i | −0.431750 | + | 0.863499i | ||||
\(516\) | 9.79796 | 0.431331 | ||||||||
\(517\) | − | 2.20204i | − | 0.0968457i | ||||||
\(518\) | − | 0.449490i | − | 0.0197494i | ||||||
\(519\) | −0.494897 | −0.0217236 | ||||||||
\(520\) | 8.00000 | + | 4.00000i | 0.350823 | + | 0.175412i | ||||
\(521\) | −1.79796 | −0.0787700 | −0.0393850 | − | 0.999224i | \(-0.512540\pi\) | ||||
−0.0393850 | + | 0.999224i | \(0.512540\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.898979i | 0.0393096i | 0.999807 | + | 0.0196548i | \(0.00625672\pi\) | ||||
−0.999807 | + | 0.0196548i | \(0.993743\pi\) | |||||||
\(524\) | −14.2474 | −0.622403 | ||||||||
\(525\) | −3.30306 | − | 4.40408i | −0.144157 | − | 0.192210i | ||||
\(526\) | 26.2474 | 1.14444 | ||||||||
\(527\) | 31.5959i | 1.37634i | ||||||||
\(528\) | − | 12.0000i | − | 0.522233i | ||||||
\(529\) | 22.1918 | 0.964862 | ||||||||
\(530\) | −15.5959 | − | 7.79796i | −0.677443 | − | 0.338722i | ||||
\(531\) | −25.3485 | −1.10003 | ||||||||
\(532\) | 3.79796i | 0.164662i | ||||||||
\(533\) | 8.00000i | 0.346518i | ||||||||
\(534\) | 9.30306 | 0.402583 | ||||||||
\(535\) | 10.4495 | − | 20.8990i | 0.451771 | − | 0.903542i | ||||
\(536\) | −10.4495 | −0.451349 | ||||||||
\(537\) | − | 13.1010i | − | 0.565351i | ||||||
\(538\) | 10.6969i | 0.461178i | ||||||||
\(539\) | −33.3031 | −1.43446 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 39.5959 | 1.70236 | 0.851181 | − | 0.524873i | \(-0.175887\pi\) | ||||
0.851181 | + | 0.524873i | \(0.175887\pi\) | |||||||
\(542\) | − | 16.4949i | − | 0.708517i | ||||||
\(543\) | − | 45.7980i | − | 1.96538i | ||||||
\(544\) | −4.89898 | −0.210042 | ||||||||
\(545\) | 27.5959 | + | 13.7980i | 1.18208 | + | 0.591040i | ||||
\(546\) | −4.40408 | −0.188477 | ||||||||
\(547\) | − | 18.6969i | − | 0.799423i | −0.916641 | − | 0.399712i | \(-0.869110\pi\) | ||
0.916641 | − | 0.399712i | \(-0.130890\pi\) | |||||||
\(548\) | − | 19.5959i | − | 0.837096i | ||||||
\(549\) | −36.0000 | −1.53644 | ||||||||
\(550\) | −19.5959 | + | 14.6969i | −0.835573 | + | 0.626680i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | − | 2.20204i | − | 0.0937251i | ||||||
\(553\) | − | 0.696938i | − | 0.0296368i | ||||||
\(554\) | 19.5959 | 0.832551 | ||||||||
\(555\) | −4.89898 | − | 2.44949i | −0.207950 | − | 0.103975i | ||||
\(556\) | 13.7980 | 0.585164 | ||||||||
\(557\) | 12.0000i | 0.508456i | 0.967144 | + | 0.254228i | \(0.0818214\pi\) | ||||
−0.967144 | + | 0.254228i | \(0.918179\pi\) | |||||||
\(558\) | − | 19.3485i | − | 0.819086i | ||||||
\(559\) | −16.0000 | −0.676728 | ||||||||
\(560\) | 0.449490 | − | 0.898979i | 0.0189944 | − | 0.0379888i | ||||
\(561\) | −58.7878 | −2.48202 | ||||||||
\(562\) | − | 8.20204i | − | 0.345982i | ||||||
\(563\) | − | 5.30306i | − | 0.223497i | −0.993736 | − | 0.111749i | \(-0.964355\pi\) | ||
0.993736 | − | 0.111749i | \(-0.0356452\pi\) | |||||||
\(564\) | 1.10102 | 0.0463613 | ||||||||
\(565\) | −12.8990 | + | 25.7980i | −0.542664 | + | 1.08533i | ||||
\(566\) | −23.5959 | −0.991810 | ||||||||
\(567\) | − | 4.04541i | − | 0.169891i | ||||||
\(568\) | − | 4.89898i | − | 0.205557i | ||||||
\(569\) | 17.5959 | 0.737659 | 0.368830 | − | 0.929497i | \(-0.379759\pi\) | ||||
0.368830 | + | 0.929497i | \(0.379759\pi\) | |||||||
\(570\) | 41.3939 | + | 20.6969i | 1.73380 | + | 0.866899i | ||||
\(571\) | 33.3939 | 1.39749 | 0.698745 | − | 0.715371i | \(-0.253742\pi\) | ||||
0.698745 | + | 0.715371i | \(0.253742\pi\) | |||||||
\(572\) | 19.5959i | 0.819346i | ||||||||
\(573\) | − | 8.20204i | − | 0.342645i | ||||||
\(574\) | 0.898979 | 0.0375227 | ||||||||
\(575\) | −3.59592 | + | 2.69694i | −0.149960 | + | 0.112470i | ||||
\(576\) | 3.00000 | 0.125000 | ||||||||
\(577\) | 1.30306i | 0.0542472i | 0.999632 | + | 0.0271236i | \(0.00863476\pi\) | ||||
−0.999632 | + | 0.0271236i | \(0.991365\pi\) | |||||||
\(578\) | 7.00000i | 0.291162i | ||||||||
\(579\) | −34.2929 | −1.42516 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.49490 | 0.269454 | ||||||||
\(582\) | 4.89898i | 0.203069i | ||||||||
\(583\) | − | 38.2020i | − | 1.58217i | ||||||
\(584\) | −4.00000 | −0.165521 | ||||||||
\(585\) | −12.0000 | + | 24.0000i | −0.496139 | + | 0.992278i | ||||
\(586\) | −13.5959 | −0.561642 | ||||||||
\(587\) | 12.0000i | 0.495293i | 0.968850 | + | 0.247647i | \(0.0796572\pi\) | ||||
−0.968850 | + | 0.247647i | \(0.920343\pi\) | |||||||
\(588\) | − | 16.6515i | − | 0.686698i | ||||||
\(589\) | 54.4949 | 2.24542 | ||||||||
\(590\) | −8.44949 | + | 16.8990i | −0.347860 | + | 0.695720i | ||||
\(591\) | −4.89898 | −0.201517 | ||||||||
\(592\) | − | 1.00000i | − | 0.0410997i | ||||||
\(593\) | 24.0000i | 0.985562i | 0.870153 | + | 0.492781i | \(0.164020\pi\) | ||||
−0.870153 | + | 0.492781i | \(0.835980\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.40408 | − | 2.20204i | −0.180550 | − | 0.0902749i | ||||
\(596\) | 10.6969 | 0.438164 | ||||||||
\(597\) | − | 3.79796i | − | 0.155440i | ||||||
\(598\) | 3.59592i | 0.147048i | ||||||||
\(599\) | 27.5959 | 1.12754 | 0.563769 | − | 0.825932i | \(-0.309351\pi\) | ||||
0.563769 | + | 0.825932i | \(0.309351\pi\) | |||||||
\(600\) | −7.34847 | − | 9.79796i | −0.300000 | − | 0.400000i | ||||
\(601\) | −8.00000 | −0.326327 | −0.163163 | − | 0.986599i | \(-0.552170\pi\) | ||||
−0.163163 | + | 0.986599i | \(0.552170\pi\) | |||||||
\(602\) | 1.79796i | 0.0732793i | ||||||||
\(603\) | − | 31.3485i | − | 1.27661i | ||||||
\(604\) | 8.00000 | 0.325515 | ||||||||
\(605\) | −26.0000 | − | 13.0000i | −1.05705 | − | 0.528525i | ||||
\(606\) | −45.7980 | −1.86041 | ||||||||
\(607\) | 2.69694i | 0.109465i | 0.998501 | + | 0.0547327i | \(0.0174307\pi\) | ||||
−0.998501 | + | 0.0547327i | \(0.982569\pi\) | |||||||
\(608\) | 8.44949i | 0.342672i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −12.0000 | + | 24.0000i | −0.485866 | + | 0.971732i | ||||
\(611\) | −1.79796 | −0.0727376 | ||||||||
\(612\) | − | 14.6969i | − | 0.594089i | ||||||
\(613\) | 20.2020i | 0.815953i | 0.912992 | + | 0.407976i | \(0.133765\pi\) | ||||
−0.912992 | + | 0.407976i | \(0.866235\pi\) | |||||||
\(614\) | 21.1464 | 0.853400 | ||||||||
\(615\) | 4.89898 | − | 9.79796i | 0.197546 | − | 0.395092i | ||||
\(616\) | 2.20204 | 0.0887228 | ||||||||
\(617\) | 19.5959i | 0.788902i | 0.918917 | + | 0.394451i | \(0.129065\pi\) | ||||
−0.918917 | + | 0.394451i | \(0.870935\pi\) | |||||||
\(618\) | − | 24.0000i | − | 0.965422i | ||||||
\(619\) | 3.10102 | 0.124641 | 0.0623203 | − | 0.998056i | \(-0.480150\pi\) | ||||
0.0623203 | + | 0.998056i | \(0.480150\pi\) | |||||||
\(620\) | −12.8990 | − | 6.44949i | −0.518035 | − | 0.259018i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 7.34847i | − | 0.294647i | ||||||
\(623\) | 1.70714i | 0.0683953i | ||||||||
\(624\) | −9.79796 | −0.392232 | ||||||||
\(625\) | −7.00000 | + | 24.0000i | −0.280000 | + | 0.960000i | ||||
\(626\) | 21.5959 | 0.863146 | ||||||||
\(627\) | 101.394i | 4.04928i | ||||||||
\(628\) | 11.7980i | 0.470790i | ||||||||
\(629\) | −4.89898 | −0.195335 | ||||||||
\(630\) | 2.69694 | + | 1.34847i | 0.107449 | + | 0.0537243i | ||||
\(631\) | 4.24745 | 0.169088 | 0.0845441 | − | 0.996420i | \(-0.473057\pi\) | ||||
0.0845441 | + | 0.996420i | \(0.473057\pi\) | |||||||
\(632\) | − | 1.55051i | − | 0.0616760i | ||||||
\(633\) | 55.5959i | 2.20974i | ||||||||
\(634\) | −18.0000 | −0.714871 | ||||||||
\(635\) | 17.3485 | − | 34.6969i | 0.688453 | − | 1.37691i | ||||
\(636\) | 19.1010 | 0.757405 | ||||||||
\(637\) | 27.1918i | 1.07738i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 14.6969 | 0.581402 | ||||||||
\(640\) | 1.00000 | − | 2.00000i | 0.0395285 | − | 0.0790569i | ||||
\(641\) | −1.79796 | −0.0710151 | −0.0355076 | − | 0.999369i | \(-0.511305\pi\) | ||||
−0.0355076 | + | 0.999369i | \(0.511305\pi\) | |||||||
\(642\) | 25.5959i | 1.01019i | ||||||||
\(643\) | − | 32.8990i | − | 1.29741i | −0.761040 | − | 0.648705i | \(-0.775311\pi\) | ||
0.761040 | − | 0.648705i | \(-0.224689\pi\) | |||||||
\(644\) | 0.404082 | 0.0159231 | ||||||||
\(645\) | 19.5959 | + | 9.79796i | 0.771589 | + | 0.385794i | ||||
\(646\) | 41.3939 | 1.62862 | ||||||||
\(647\) | 32.0000i | 1.25805i | 0.777385 | + | 0.629025i | \(0.216546\pi\) | ||||
−0.777385 | + | 0.629025i | \(0.783454\pi\) | |||||||
\(648\) | − | 9.00000i | − | 0.353553i | ||||||
\(649\) | −41.3939 | −1.62485 | ||||||||
\(650\) | 12.0000 | + | 16.0000i | 0.470679 | + | 0.627572i | ||||
\(651\) | 7.10102 | 0.278311 | ||||||||
\(652\) | 2.20204i | 0.0862386i | ||||||||
\(653\) | 34.0000i | 1.33052i | 0.746611 | + | 0.665261i | \(0.231680\pi\) | ||||
−0.746611 | + | 0.665261i | \(0.768320\pi\) | |||||||
\(654\) | −33.7980 | −1.32160 | ||||||||
\(655\) | −28.4949 | − | 14.2474i | −1.11339 | − | 0.556694i | ||||
\(656\) | 2.00000 | 0.0780869 | ||||||||
\(657\) | − | 12.0000i | − | 0.468165i | ||||||
\(658\) | 0.202041i | 0.00787638i | ||||||||
\(659\) | 7.59592 | 0.295895 | 0.147947 | − | 0.988995i | \(-0.452733\pi\) | ||||
0.147947 | + | 0.988995i | \(0.452733\pi\) | |||||||
\(660\) | 12.0000 | − | 24.0000i | 0.467099 | − | 0.934199i | ||||
\(661\) | 47.1918 | 1.83555 | 0.917775 | − | 0.397101i | \(-0.129984\pi\) | ||||
0.917775 | + | 0.397101i | \(0.129984\pi\) | |||||||
\(662\) | 10.2474i | 0.398278i | ||||||||
\(663\) | 48.0000i | 1.86417i | ||||||||
\(664\) | 14.4495 | 0.560749 | ||||||||
\(665\) | −3.79796 | + | 7.59592i | −0.147279 | + | 0.294557i | ||||
\(666\) | 3.00000 | 0.116248 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 8.00000i | 0.309529i | ||||||||
\(669\) | 10.8990 | 0.421379 | ||||||||
\(670\) | −20.8990 | − | 10.4495i | −0.807398 | − | 0.403699i | ||||
\(671\) | −58.7878 | −2.26948 | ||||||||
\(672\) | 1.10102i | 0.0424728i | ||||||||
\(673\) | 24.0000i | 0.925132i | 0.886585 | + | 0.462566i | \(0.153071\pi\) | ||||
−0.886585 | + | 0.462566i | \(0.846929\pi\) | |||||||
\(674\) | −35.5959 | −1.37110 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.00000 | 0.115385 | ||||||||
\(677\) | − | 18.0000i | − | 0.691796i | −0.938272 | − | 0.345898i | \(-0.887574\pi\) | ||
0.938272 | − | 0.345898i | \(-0.112426\pi\) | |||||||
\(678\) | − | 31.5959i | − | 1.21343i | ||||||
\(679\) | −0.898979 | −0.0344997 | ||||||||
\(680\) | −9.79796 | − | 4.89898i | −0.375735 | − | 0.187867i | ||||
\(681\) | −36.9898 | −1.41745 | ||||||||
\(682\) | − | 31.5959i | − | 1.20987i | ||||||
\(683\) | − | 23.5959i | − | 0.902873i | −0.892303 | − | 0.451436i | \(-0.850912\pi\) | ||
0.892303 | − | 0.451436i | \(-0.149088\pi\) | |||||||
\(684\) | −25.3485 | −0.969223 | ||||||||
\(685\) | 19.5959 | − | 39.1918i | 0.748722 | − | 1.49744i | ||||
\(686\) | 6.20204 | 0.236795 | ||||||||
\(687\) | 24.4949i | 0.934539i | ||||||||
\(688\) | 4.00000i | 0.152499i | ||||||||
\(689\) | −31.1918 | −1.18831 | ||||||||
\(690\) | 2.20204 | − | 4.40408i | 0.0838303 | − | 0.167661i | ||||
\(691\) | 18.2020 | 0.692438 | 0.346219 | − | 0.938154i | \(-0.387465\pi\) | ||||
0.346219 | + | 0.938154i | \(0.387465\pi\) | |||||||
\(692\) | − | 0.202041i | − | 0.00768045i | ||||||
\(693\) | 6.60612i | 0.250946i | ||||||||
\(694\) | −21.7980 | −0.827439 | ||||||||
\(695\) | 27.5959 | + | 13.7980i | 1.04677 | + | 0.523386i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − | 9.79796i | − | 0.371124i | ||||||
\(698\) | 16.8990i | 0.639636i | ||||||||
\(699\) | 24.0000 | 0.907763 | ||||||||
\(700\) | 1.79796 | − | 1.34847i | 0.0679565 | − | 0.0509673i | ||||
\(701\) | 5.79796 | 0.218986 | 0.109493 | − | 0.993988i | \(-0.465077\pi\) | ||||
0.109493 | + | 0.993988i | \(0.465077\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 8.44949i | 0.318679i | ||||||||
\(704\) | 4.89898 | 0.184637 | ||||||||
\(705\) | 2.20204 | + | 1.10102i | 0.0829337 | + | 0.0414668i | ||||
\(706\) | −6.00000 | −0.225813 | ||||||||
\(707\) | − | 8.40408i | − | 0.316068i | ||||||
\(708\) | − | 20.6969i | − | 0.777839i | ||||||
\(709\) | 13.7980 | 0.518193 | 0.259097 | − | 0.965851i | \(-0.416575\pi\) | ||||
0.259097 | + | 0.965851i | \(0.416575\pi\) | |||||||
\(710\) | 4.89898 | − | 9.79796i | 0.183855 | − | 0.367711i | ||||
\(711\) | 4.65153 | 0.174446 | ||||||||
\(712\) | 3.79796i | 0.142335i | ||||||||
\(713\) | − | 5.79796i | − | 0.217135i | ||||||
\(714\) | 5.39388 | 0.201861 | ||||||||
\(715\) | −19.5959 | + | 39.1918i | −0.732846 | + | 1.46569i | ||||
\(716\) | 5.34847 | 0.199882 | ||||||||
\(717\) | − | 63.7980i | − | 2.38258i | ||||||
\(718\) | − | 3.10102i | − | 0.115729i | ||||||
\(719\) | −12.4041 | −0.462594 | −0.231297 | − | 0.972883i | \(-0.574297\pi\) | ||||
−0.231297 | + | 0.972883i | \(0.574297\pi\) | |||||||
\(720\) | 6.00000 | + | 3.00000i | 0.223607 | + | 0.111803i | ||||
\(721\) | 4.40408 | 0.164017 | ||||||||
\(722\) | − | 52.3939i | − | 1.94990i | ||||||
\(723\) | − | 28.8990i | − | 1.07476i | ||||||
\(724\) | 18.6969 | 0.694866 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 31.8434 | 1.18182 | ||||||||
\(727\) | 8.89898i | 0.330045i | 0.986290 | + | 0.165022i | \(0.0527697\pi\) | ||||
−0.986290 | + | 0.165022i | \(0.947230\pi\) | |||||||
\(728\) | − | 1.79796i | − | 0.0666368i | ||||||
\(729\) | 27.0000 | 1.00000 | ||||||||
\(730\) | −8.00000 | − | 4.00000i | −0.296093 | − | 0.148047i | ||||
\(731\) | 19.5959 | 0.724781 | ||||||||
\(732\) | − | 29.3939i | − | 1.08643i | ||||||
\(733\) | 21.5959i | 0.797663i | 0.917024 | + | 0.398832i | \(0.130584\pi\) | ||||
−0.917024 | + | 0.398832i | \(0.869416\pi\) | |||||||
\(734\) | 17.3485 | 0.640344 | ||||||||
\(735\) | 16.6515 | − | 33.3031i | 0.614201 | − | 1.22840i | ||||
\(736\) | 0.898979 | 0.0331368 | ||||||||
\(737\) | − | 51.1918i | − | 1.88568i | ||||||
\(738\) | 6.00000i | 0.220863i | ||||||||
\(739\) | 26.2020 | 0.963858 | 0.481929 | − | 0.876210i | \(-0.339936\pi\) | ||||
0.481929 | + | 0.876210i | \(0.339936\pi\) | |||||||
\(740\) | 1.00000 | − | 2.00000i | 0.0367607 | − | 0.0735215i | ||||
\(741\) | 82.7878 | 3.04128 | ||||||||
\(742\) | 3.50510i | 0.128676i | ||||||||
\(743\) | − | 38.2474i | − | 1.40316i | −0.712589 | − | 0.701581i | \(-0.752478\pi\) | ||
0.712589 | − | 0.701581i | \(-0.247522\pi\) | |||||||
\(744\) | 15.7980 | 0.579181 | ||||||||
\(745\) | 21.3939 | + | 10.6969i | 0.783811 | + | 0.391906i | ||||
\(746\) | 7.79796 | 0.285504 | ||||||||
\(747\) | 43.3485i | 1.58604i | ||||||||
\(748\) | − | 24.0000i | − | 0.877527i | ||||||
\(749\) | −4.69694 | −0.171622 | ||||||||
\(750\) | −4.89898 | − | 26.9444i | −0.178885 | − | 0.983870i | ||||
\(751\) | 1.30306 | 0.0475494 | 0.0237747 | − | 0.999717i | \(-0.492432\pi\) | ||||
0.0237747 | + | 0.999717i | \(0.492432\pi\) | |||||||
\(752\) | 0.449490i | 0.0163912i | ||||||||
\(753\) | 16.2929i | 0.593745i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 16.0000 | + | 8.00000i | 0.582300 | + | 0.291150i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 5.59592i | − | 0.203387i | −0.994816 | − | 0.101694i | \(-0.967574\pi\) | ||
0.994816 | − | 0.101694i | \(-0.0324261\pi\) | |||||||
\(758\) | 7.59592i | 0.275896i | ||||||||
\(759\) | 10.7878 | 0.391571 | ||||||||
\(760\) | −8.44949 | + | 16.8990i | −0.306495 | + | 0.612990i | ||||
\(761\) | −53.1918 | −1.92820 | −0.964101 | − | 0.265535i | \(-0.914451\pi\) | ||||
−0.964101 | + | 0.265535i | \(0.914451\pi\) | |||||||
\(762\) | 42.4949i | 1.53943i | ||||||||
\(763\) | − | 6.20204i | − | 0.224529i | ||||||
\(764\) | 3.34847 | 0.121143 | ||||||||
\(765\) | 14.6969 | − | 29.3939i | 0.531369 | − | 1.06274i | ||||
\(766\) | −5.30306 | −0.191607 | ||||||||
\(767\) | 33.7980i | 1.22037i | ||||||||
\(768\) | 2.44949i | 0.0883883i | ||||||||
\(769\) | 16.2020 | 0.584261 | 0.292130 | − | 0.956379i | \(-0.405636\pi\) | ||||
0.292130 | + | 0.956379i | \(0.405636\pi\) | |||||||
\(770\) | 4.40408 | + | 2.20204i | 0.158712 | + | 0.0793561i | ||||
\(771\) | 12.0000 | 0.432169 | ||||||||
\(772\) | − | 14.0000i | − | 0.503871i | ||||||
\(773\) | − | 6.00000i | − | 0.215805i | −0.994161 | − | 0.107903i | \(-0.965587\pi\) | ||
0.994161 | − | 0.107903i | \(-0.0344134\pi\) | |||||||
\(774\) | −12.0000 | −0.431331 | ||||||||
\(775\) | −19.3485 | − | 25.7980i | −0.695018 | − | 0.926690i | ||||
\(776\) | −2.00000 | −0.0717958 | ||||||||
\(777\) | 1.10102i | 0.0394989i | ||||||||
\(778\) | − | 6.20204i | − | 0.222354i | ||||||
\(779\) | −16.8990 | −0.605469 | ||||||||
\(780\) | −19.5959 | − | 9.79796i | −0.701646 | − | 0.350823i | ||||
\(781\) | 24.0000 | 0.858788 | ||||||||
\(782\) | − | 4.40408i | − | 0.157490i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.79796 |