Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [435,2,Mod(349,435)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(435, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 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("435.349");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 435 = 3 \cdot 5 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 435.c (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: | \(3.47349248793\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | 10.0.3899266318336.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 2x^{8} + 6x^{7} + 19x^{6} - 12x^{5} + 4x^{4} + 2x^{3} + 9x^{2} - 6x + 2 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 349.1 | ||
Root | \(-1.20964 + 1.20964i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 435.349 |
Dual form | 435.2.c.e.349.10 |
$q$-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 \(\left(\mathbb{Z}/435\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(146\) | \(262\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.51908i | − | 1.78126i | −0.454729 | − | 0.890630i | \(-0.650264\pi\) | ||
0.454729 | − | 0.890630i | \(-0.349736\pi\) | |||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | −4.34577 | −2.17289 | ||||||||
\(5\) | −1.27413 | + | 1.83755i | −0.569810 | + | 0.821777i | ||||
\(6\) | 2.51908 | 1.02841 | ||||||||
\(7\) | − | 0.173311i | − | 0.0655054i | −0.999463 | − | 0.0327527i | \(-0.989573\pi\) | ||
0.999463 | − | 0.0327527i | \(-0.0104274\pi\) | |||||||
\(8\) | 5.90919i | 2.08921i | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 4.62893 | + | 3.20964i | 1.46380 | + | 1.01498i | ||||
\(11\) | 5.08250 | 1.53243 | 0.766215 | − | 0.642584i | \(-0.222138\pi\) | ||||
0.766215 | + | 0.642584i | \(0.222138\pi\) | |||||||
\(12\) | − | 4.34577i | − | 1.25452i | ||||||
\(13\) | 1.82669i | 0.506632i | 0.967384 | + | 0.253316i | \(0.0815213\pi\) | ||||
−0.967384 | + | 0.253316i | \(0.918479\pi\) | |||||||
\(14\) | −0.436584 | −0.116682 | ||||||||
\(15\) | −1.83755 | − | 1.27413i | −0.474453 | − | 0.328980i | ||||
\(16\) | 6.19418 | 1.54854 | ||||||||
\(17\) | 4.24598i | 1.02980i | 0.857250 | + | 0.514901i | \(0.172171\pi\) | ||||
−0.857250 | + | 0.514901i | \(0.827829\pi\) | |||||||
\(18\) | 2.51908i | 0.593753i | ||||||||
\(19\) | 8.62093 | 1.97778 | 0.988889 | − | 0.148656i | \(-0.0474948\pi\) | ||||
0.988889 | + | 0.148656i | \(0.0474948\pi\) | |||||||
\(20\) | 5.53709 | − | 7.98556i | 1.23813 | − | 1.78563i | ||||
\(21\) | 0.173311 | 0.0378196 | ||||||||
\(22\) | − | 12.8032i | − | 2.72966i | ||||||
\(23\) | 3.16348i | 0.659632i | 0.944045 | + | 0.329816i | \(0.106987\pi\) | ||||
−0.944045 | + | 0.329816i | \(0.893013\pi\) | |||||||
\(24\) | −5.90919 | −1.20621 | ||||||||
\(25\) | −1.75317 | − | 4.68256i | −0.350634 | − | 0.936513i | ||||
\(26\) | 4.60158 | 0.902444 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 0.753170i | 0.142336i | ||||||||
\(29\) | −1.00000 | −0.185695 | ||||||||
\(30\) | −3.20964 | + | 4.62893i | −0.585998 | + | 0.845124i | ||||
\(31\) | 3.22185 | 0.578662 | 0.289331 | − | 0.957229i | \(-0.406567\pi\) | ||||
0.289331 | + | 0.957229i | \(0.406567\pi\) | |||||||
\(32\) | − | 3.78527i | − | 0.669147i | ||||||
\(33\) | 5.08250i | 0.884749i | ||||||||
\(34\) | 10.6960 | 1.83434 | ||||||||
\(35\) | 0.318467 | + | 0.220821i | 0.0538308 | + | 0.0373256i | ||||
\(36\) | 4.34577 | 0.724295 | ||||||||
\(37\) | − | 1.97828i | − | 0.325227i | −0.986690 | − | 0.162614i | \(-0.948008\pi\) | ||
0.986690 | − | 0.162614i | \(-0.0519924\pi\) | |||||||
\(38\) | − | 21.7168i | − | 3.52294i | ||||||
\(39\) | −1.82669 | −0.292504 | ||||||||
\(40\) | −10.8584 | − | 7.52909i | −1.71687 | − | 1.19045i | ||||
\(41\) | −9.96541 | −1.55634 | −0.778168 | − | 0.628056i | \(-0.783851\pi\) | ||||
−0.778168 | + | 0.628056i | \(0.783851\pi\) | |||||||
\(42\) | − | 0.436584i | − | 0.0673664i | ||||||
\(43\) | 7.91070i | 1.20637i | 0.797601 | + | 0.603185i | \(0.206102\pi\) | ||||
−0.797601 | + | 0.603185i | \(0.793898\pi\) | |||||||
\(44\) | −22.0874 | −3.32980 | ||||||||
\(45\) | 1.27413 | − | 1.83755i | 0.189937 | − | 0.273926i | ||||
\(46\) | 7.96907 | 1.17497 | ||||||||
\(47\) | 8.66893i | 1.26449i | 0.774767 | + | 0.632246i | \(0.217867\pi\) | ||||
−0.774767 | + | 0.632246i | \(0.782133\pi\) | |||||||
\(48\) | 6.19418i | 0.894053i | ||||||||
\(49\) | 6.96996 | 0.995709 | ||||||||
\(50\) | −11.7958 | + | 4.41638i | −1.66817 | + | 0.624570i | ||||
\(51\) | −4.24598 | −0.594556 | ||||||||
\(52\) | − | 7.93837i | − | 1.10085i | ||||||
\(53\) | 5.40285i | 0.742138i | 0.928605 | + | 0.371069i | \(0.121009\pi\) | ||||
−0.928605 | + | 0.371069i | \(0.878991\pi\) | |||||||
\(54\) | −2.51908 | −0.342804 | ||||||||
\(55\) | −6.47578 | + | 9.33933i | −0.873194 | + | 1.25932i | ||||
\(56\) | 1.02413 | 0.136855 | ||||||||
\(57\) | 8.62093i | 1.14187i | ||||||||
\(58\) | 2.51908i | 0.330772i | ||||||||
\(59\) | −7.66286 | −0.997619 | −0.498810 | − | 0.866712i | \(-0.666229\pi\) | ||||
−0.498810 | + | 0.866712i | \(0.666229\pi\) | |||||||
\(60\) | 7.98556 | + | 5.53709i | 1.03093 | + | 0.714835i | ||||
\(61\) | 2.76215 | 0.353657 | 0.176828 | − | 0.984242i | \(-0.443416\pi\) | ||||
0.176828 | + | 0.984242i | \(0.443416\pi\) | |||||||
\(62\) | − | 8.11611i | − | 1.03075i | ||||||
\(63\) | 0.173311i | 0.0218351i | ||||||||
\(64\) | 2.85296 | 0.356620 | ||||||||
\(65\) | −3.35663 | − | 2.32744i | −0.416339 | − | 0.288684i | ||||
\(66\) | 12.8032 | 1.57597 | ||||||||
\(67\) | − | 8.13872i | − | 0.994303i | −0.867664 | − | 0.497152i | \(-0.834379\pi\) | ||
0.867664 | − | 0.497152i | \(-0.165621\pi\) | |||||||
\(68\) | − | 18.4520i | − | 2.23764i | ||||||
\(69\) | −3.16348 | −0.380838 | ||||||||
\(70\) | 0.556267 | − | 0.802245i | 0.0664866 | − | 0.0958866i | ||||
\(71\) | −6.25938 | −0.742852 | −0.371426 | − | 0.928463i | \(-0.621131\pi\) | ||||
−0.371426 | + | 0.928463i | \(0.621131\pi\) | |||||||
\(72\) | − | 5.90919i | − | 0.696404i | ||||||
\(73\) | − | 6.74356i | − | 0.789274i | −0.918837 | − | 0.394637i | \(-0.870870\pi\) | ||
0.918837 | − | 0.394637i | \(-0.129130\pi\) | |||||||
\(74\) | −4.98345 | −0.579314 | ||||||||
\(75\) | 4.68256 | − | 1.75317i | 0.540696 | − | 0.202439i | ||||
\(76\) | −37.4646 | −4.29748 | ||||||||
\(77\) | − | 0.880853i | − | 0.100382i | ||||||
\(78\) | 4.60158i | 0.521026i | ||||||||
\(79\) | −4.54763 | −0.511649 | −0.255824 | − | 0.966723i | \(-0.582347\pi\) | ||||
−0.255824 | + | 0.966723i | \(0.582347\pi\) | |||||||
\(80\) | −7.89221 | + | 11.3821i | −0.882376 | + | 1.27256i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 25.1037i | 2.77224i | ||||||||
\(83\) | − | 11.6224i | − | 1.27573i | −0.770149 | − | 0.637865i | \(-0.779818\pi\) | ||
0.770149 | − | 0.637865i | \(-0.220182\pi\) | |||||||
\(84\) | −0.753170 | −0.0821776 | ||||||||
\(85\) | −7.80219 | − | 5.40994i | −0.846267 | − | 0.586791i | ||||
\(86\) | 19.9277 | 2.14886 | ||||||||
\(87\) | − | 1.00000i | − | 0.107211i | ||||||
\(88\) | 30.0334i | 3.20157i | ||||||||
\(89\) | 16.4911 | 1.74805 | 0.874024 | − | 0.485882i | \(-0.161501\pi\) | ||||
0.874024 | + | 0.485882i | \(0.161501\pi\) | |||||||
\(90\) | −4.62893 | − | 3.20964i | −0.487933 | − | 0.338326i | ||||
\(91\) | 0.316585 | 0.0331872 | ||||||||
\(92\) | − | 13.7478i | − | 1.43330i | ||||||
\(93\) | 3.22185i | 0.334090i | ||||||||
\(94\) | 21.8377 | 2.25239 | ||||||||
\(95\) | −10.9842 | + | 15.8414i | −1.12696 | + | 1.62529i | ||||
\(96\) | 3.78527 | 0.386332 | ||||||||
\(97\) | − | 2.74419i | − | 0.278631i | −0.990248 | − | 0.139315i | \(-0.955510\pi\) | ||
0.990248 | − | 0.139315i | \(-0.0444901\pi\) | |||||||
\(98\) | − | 17.5579i | − | 1.77362i | ||||||
\(99\) | −5.08250 | −0.510810 | ||||||||
\(100\) | 7.61887 | + | 20.3493i | 0.761887 | + | 2.03493i | ||||
\(101\) | 6.41474 | 0.638290 | 0.319145 | − | 0.947706i | \(-0.396604\pi\) | ||||
0.319145 | + | 0.947706i | \(0.396604\pi\) | |||||||
\(102\) | 10.6960i | 1.05906i | ||||||||
\(103\) | − | 7.08642i | − | 0.698245i | −0.937077 | − | 0.349123i | \(-0.886480\pi\) | ||
0.937077 | − | 0.349123i | \(-0.113520\pi\) | |||||||
\(104\) | −10.7942 | −1.05846 | ||||||||
\(105\) | −0.220821 | + | 0.318467i | −0.0215499 | + | 0.0310792i | ||||
\(106\) | 13.6102 | 1.32194 | ||||||||
\(107\) | − | 0.925187i | − | 0.0894412i | −0.999000 | − | 0.0447206i | \(-0.985760\pi\) | ||
0.999000 | − | 0.0447206i | \(-0.0142398\pi\) | |||||||
\(108\) | 4.34577i | 0.418172i | ||||||||
\(109\) | −4.11700 | −0.394337 | −0.197169 | − | 0.980370i | \(-0.563175\pi\) | ||||
−0.197169 | + | 0.980370i | \(0.563175\pi\) | |||||||
\(110\) | 23.5265 | + | 16.3130i | 2.24317 | + | 1.55538i | ||||
\(111\) | 1.97828 | 0.187770 | ||||||||
\(112\) | − | 1.07352i | − | 0.101438i | ||||||
\(113\) | 6.84626i | 0.644042i | 0.946732 | + | 0.322021i | \(0.104362\pi\) | ||||
−0.946732 | + | 0.322021i | \(0.895638\pi\) | |||||||
\(114\) | 21.7168 | 2.03397 | ||||||||
\(115\) | −5.81305 | − | 4.03070i | −0.542070 | − | 0.375864i | ||||
\(116\) | 4.34577 | 0.403495 | ||||||||
\(117\) | − | 1.82669i | − | 0.168877i | ||||||
\(118\) | 19.3034i | 1.77702i | ||||||||
\(119\) | 0.735875 | 0.0674575 | ||||||||
\(120\) | 7.52909 | − | 10.8584i | 0.687309 | − | 0.991233i | ||||
\(121\) | 14.8318 | 1.34834 | ||||||||
\(122\) | − | 6.95807i | − | 0.629954i | ||||||
\(123\) | − | 9.96541i | − | 0.898551i | ||||||
\(124\) | −14.0014 | −1.25737 | ||||||||
\(125\) | 10.8382 | + | 2.74467i | 0.969399 | + | 0.245491i | ||||
\(126\) | 0.436584 | 0.0388940 | ||||||||
\(127\) | 5.25850i | 0.466617i | 0.972403 | + | 0.233308i | \(0.0749551\pi\) | ||||
−0.972403 | + | 0.233308i | \(0.925045\pi\) | |||||||
\(128\) | − | 14.7574i | − | 1.30438i | ||||||
\(129\) | −7.91070 | −0.696498 | ||||||||
\(130\) | −5.86302 | + | 8.45562i | −0.514221 | + | 0.741607i | ||||
\(131\) | 17.7157 | 1.54783 | 0.773913 | − | 0.633293i | \(-0.218297\pi\) | ||||
0.773913 | + | 0.633293i | \(0.218297\pi\) | |||||||
\(132\) | − | 22.0874i | − | 1.92246i | ||||||
\(133\) | − | 1.49410i | − | 0.129555i | ||||||
\(134\) | −20.5021 | −1.77111 | ||||||||
\(135\) | 1.83755 | + | 1.27413i | 0.158151 | + | 0.109660i | ||||
\(136\) | −25.0903 | −2.15147 | ||||||||
\(137\) | 1.14479i | 0.0978057i | 0.998804 | + | 0.0489028i | \(0.0155725\pi\) | ||||
−0.998804 | + | 0.0489028i | \(0.984428\pi\) | |||||||
\(138\) | 7.96907i | 0.678372i | ||||||||
\(139\) | −4.08670 | −0.346630 | −0.173315 | − | 0.984866i | \(-0.555448\pi\) | ||||
−0.173315 | + | 0.984866i | \(0.555448\pi\) | |||||||
\(140\) | −1.38399 | − | 0.959639i | −0.116968 | − | 0.0811043i | ||||
\(141\) | −8.66893 | −0.730055 | ||||||||
\(142\) | 15.7679i | 1.32321i | ||||||||
\(143\) | 9.28414i | 0.776379i | ||||||||
\(144\) | −6.19418 | −0.516182 | ||||||||
\(145\) | 1.27413 | − | 1.83755i | 0.105811 | − | 0.152600i | ||||
\(146\) | −16.9876 | −1.40590 | ||||||||
\(147\) | 6.96996i | 0.574873i | ||||||||
\(148\) | 8.59715i | 0.706682i | ||||||||
\(149\) | −1.50268 | −0.123105 | −0.0615523 | − | 0.998104i | \(-0.519605\pi\) | ||||
−0.0615523 | + | 0.998104i | \(0.519605\pi\) | |||||||
\(150\) | −4.41638 | − | 11.7958i | −0.360596 | − | 0.963119i | ||||
\(151\) | −21.4897 | −1.74881 | −0.874404 | − | 0.485199i | \(-0.838747\pi\) | ||||
−0.874404 | + | 0.485199i | \(0.838747\pi\) | |||||||
\(152\) | 50.9427i | 4.13200i | ||||||||
\(153\) | − | 4.24598i | − | 0.343267i | ||||||
\(154\) | −2.21894 | −0.178807 | ||||||||
\(155\) | −4.10507 | + | 5.92031i | −0.329727 | + | 0.475531i | ||||
\(156\) | 7.93837 | 0.635578 | ||||||||
\(157\) | − | 11.1167i | − | 0.887206i | −0.896223 | − | 0.443603i | \(-0.853700\pi\) | ||
0.896223 | − | 0.443603i | \(-0.146300\pi\) | |||||||
\(158\) | 11.4559i | 0.911379i | ||||||||
\(159\) | −5.40285 | −0.428474 | ||||||||
\(160\) | 6.95561 | + | 4.82293i | 0.549889 | + | 0.381286i | ||||
\(161\) | 0.548266 | 0.0432094 | ||||||||
\(162\) | − | 2.51908i | − | 0.197918i | ||||||
\(163\) | − | 12.2180i | − | 0.956988i | −0.878091 | − | 0.478494i | \(-0.841183\pi\) | ||
0.878091 | − | 0.478494i | \(-0.158817\pi\) | |||||||
\(164\) | 43.3074 | 3.38174 | ||||||||
\(165\) | −9.33933 | − | 6.47578i | −0.727066 | − | 0.504139i | ||||
\(166\) | −29.2779 | −2.27240 | ||||||||
\(167\) | − | 21.3634i | − | 1.65315i | −0.562826 | − | 0.826576i | \(-0.690286\pi\) | ||
0.562826 | − | 0.826576i | \(-0.309714\pi\) | |||||||
\(168\) | 1.02413i | 0.0790131i | ||||||||
\(169\) | 9.66321 | 0.743324 | ||||||||
\(170\) | −13.6281 | + | 19.6544i | −1.04523 | + | 1.50742i | ||||
\(171\) | −8.62093 | −0.659259 | ||||||||
\(172\) | − | 34.3781i | − | 2.62130i | ||||||
\(173\) | 13.1686i | 1.00119i | 0.865682 | + | 0.500594i | \(0.166885\pi\) | ||||
−0.865682 | + | 0.500594i | \(0.833115\pi\) | |||||||
\(174\) | −2.51908 | −0.190971 | ||||||||
\(175\) | −0.811540 | + | 0.303844i | −0.0613466 | + | 0.0229684i | ||||
\(176\) | 31.4819 | 2.37304 | ||||||||
\(177\) | − | 7.66286i | − | 0.575976i | ||||||
\(178\) | − | 41.5423i | − | 3.11373i | ||||||
\(179\) | −10.6947 | −0.799357 | −0.399679 | − | 0.916655i | \(-0.630878\pi\) | ||||
−0.399679 | + | 0.916655i | \(0.630878\pi\) | |||||||
\(180\) | −5.53709 | + | 7.98556i | −0.412710 | + | 0.595209i | ||||
\(181\) | −15.2511 | −1.13361 | −0.566804 | − | 0.823852i | \(-0.691820\pi\) | ||||
−0.566804 | + | 0.823852i | \(0.691820\pi\) | |||||||
\(182\) | − | 0.797504i | − | 0.0591149i | ||||||
\(183\) | 2.76215i | 0.204184i | ||||||||
\(184\) | −18.6936 | −1.37811 | ||||||||
\(185\) | 3.63519 | + | 2.52059i | 0.267264 | + | 0.185318i | ||||
\(186\) | 8.11611 | 0.595102 | ||||||||
\(187\) | 21.5802i | 1.57810i | ||||||||
\(188\) | − | 37.6732i | − | 2.74760i | ||||||
\(189\) | −0.173311 | −0.0126065 | ||||||||
\(190\) | 39.9057 | + | 27.6701i | 2.89507 | + | 2.00740i | ||||
\(191\) | −25.7131 | −1.86053 | −0.930266 | − | 0.366885i | \(-0.880424\pi\) | ||||
−0.930266 | + | 0.366885i | \(0.880424\pi\) | |||||||
\(192\) | 2.85296i | 0.205895i | ||||||||
\(193\) | − | 22.8935i | − | 1.64791i | −0.566658 | − | 0.823953i | \(-0.691764\pi\) | ||
0.566658 | − | 0.823953i | \(-0.308236\pi\) | |||||||
\(194\) | −6.91284 | −0.496313 | ||||||||
\(195\) | 2.32744 | − | 3.35663i | 0.166672 | − | 0.240373i | ||||
\(196\) | −30.2899 | −2.16356 | ||||||||
\(197\) | − | 0.840810i | − | 0.0599052i | −0.999551 | − | 0.0299526i | \(-0.990464\pi\) | ||
0.999551 | − | 0.0299526i | \(-0.00953564\pi\) | |||||||
\(198\) | 12.8032i | 0.909885i | ||||||||
\(199\) | 26.5996 | 1.88560 | 0.942799 | − | 0.333361i | \(-0.108183\pi\) | ||||
0.942799 | + | 0.333361i | \(0.108183\pi\) | |||||||
\(200\) | 27.6701 | − | 10.3598i | 1.95657 | − | 0.732549i | ||||
\(201\) | 8.13872 | 0.574061 | ||||||||
\(202\) | − | 16.1592i | − | 1.13696i | ||||||
\(203\) | 0.173311i | 0.0121640i | ||||||||
\(204\) | 18.4520 | 1.29190 | ||||||||
\(205\) | 12.6973 | − | 18.3119i | 0.886815 | − | 1.27896i | ||||
\(206\) | −17.8513 | −1.24376 | ||||||||
\(207\) | − | 3.16348i | − | 0.219877i | ||||||
\(208\) | 11.3148i | 0.784543i | ||||||||
\(209\) | 43.8159 | 3.03081 | ||||||||
\(210\) | 0.802245 | + | 0.556267i | 0.0553602 | + | 0.0383861i | ||||
\(211\) | 1.86360 | 0.128296 | 0.0641478 | − | 0.997940i | \(-0.479567\pi\) | ||||
0.0641478 | + | 0.997940i | \(0.479567\pi\) | |||||||
\(212\) | − | 23.4795i | − | 1.61258i | ||||||
\(213\) | − | 6.25938i | − | 0.428886i | ||||||
\(214\) | −2.33062 | −0.159318 | ||||||||
\(215\) | −14.5363 | − | 10.0793i | −0.991367 | − | 0.687401i | ||||
\(216\) | 5.90919 | 0.402069 | ||||||||
\(217\) | − | 0.558382i | − | 0.0379055i | ||||||
\(218\) | 10.3711i | 0.702417i | ||||||||
\(219\) | 6.74356 | 0.455687 | ||||||||
\(220\) | 28.1422 | − | 40.5866i | 1.89735 | − | 2.73635i | ||||
\(221\) | −7.75608 | −0.521731 | ||||||||
\(222\) | − | 4.98345i | − | 0.334467i | ||||||
\(223\) | 25.0759i | 1.67920i | 0.543202 | + | 0.839602i | \(0.317212\pi\) | ||||
−0.543202 | + | 0.839602i | \(0.682788\pi\) | |||||||
\(224\) | −0.656028 | −0.0438327 | ||||||||
\(225\) | 1.75317 | + | 4.68256i | 0.116878 | + | 0.312171i | ||||
\(226\) | 17.2463 | 1.14721 | ||||||||
\(227\) | − | 20.3877i | − | 1.35318i | −0.736360 | − | 0.676590i | \(-0.763457\pi\) | ||
0.736360 | − | 0.676590i | \(-0.236543\pi\) | |||||||
\(228\) | − | 37.4646i | − | 2.48115i | ||||||
\(229\) | 5.84179 | 0.386037 | 0.193018 | − | 0.981195i | \(-0.438172\pi\) | ||||
0.193018 | + | 0.981195i | \(0.438172\pi\) | |||||||
\(230\) | −10.1537 | + | 14.6435i | −0.669512 | + | 0.965567i | ||||
\(231\) | 0.880853 | 0.0579558 | ||||||||
\(232\) | − | 5.90919i | − | 0.387957i | ||||||
\(233\) | 14.1216i | 0.925134i | 0.886584 | + | 0.462567i | \(0.153072\pi\) | ||||
−0.886584 | + | 0.462567i | \(0.846928\pi\) | |||||||
\(234\) | −4.60158 | −0.300815 | ||||||||
\(235\) | −15.9296 | − | 11.0454i | −1.03913 | − | 0.720520i | ||||
\(236\) | 33.3010 | 2.16771 | ||||||||
\(237\) | − | 4.54763i | − | 0.295400i | ||||||
\(238\) | − | 1.85373i | − | 0.120159i | ||||||
\(239\) | 6.39059 | 0.413373 | 0.206686 | − | 0.978407i | \(-0.433732\pi\) | ||||
0.206686 | + | 0.978407i | \(0.433732\pi\) | |||||||
\(240\) | −11.3821 | − | 7.89221i | −0.734712 | − | 0.509440i | ||||
\(241\) | −10.1713 | −0.655188 | −0.327594 | − | 0.944819i | \(-0.606238\pi\) | ||||
−0.327594 | + | 0.944819i | \(0.606238\pi\) | |||||||
\(242\) | − | 37.3624i | − | 2.40175i | ||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −12.0037 | −0.768455 | ||||||||
\(245\) | −8.88066 | + | 12.8076i | −0.567365 | + | 0.818251i | ||||
\(246\) | −25.1037 | −1.60055 | ||||||||
\(247\) | 15.7478i | 1.00201i | ||||||||
\(248\) | 19.0385i | 1.20895i | ||||||||
\(249\) | 11.6224 | 0.736543 | ||||||||
\(250\) | 6.91406 | − | 27.3023i | 0.437283 | − | 1.72675i | ||||
\(251\) | −15.7587 | −0.994678 | −0.497339 | − | 0.867556i | \(-0.665690\pi\) | ||||
−0.497339 | + | 0.867556i | \(0.665690\pi\) | |||||||
\(252\) | − | 0.753170i | − | 0.0474452i | ||||||
\(253\) | 16.0784i | 1.01084i | ||||||||
\(254\) | 13.2466 | 0.831165 | ||||||||
\(255\) | 5.40994 | − | 7.80219i | 0.338784 | − | 0.488592i | ||||
\(256\) | −31.4691 | −1.96682 | ||||||||
\(257\) | − | 12.3486i | − | 0.770283i | −0.922858 | − | 0.385142i | \(-0.874153\pi\) | ||
0.922858 | − | 0.385142i | \(-0.125847\pi\) | |||||||
\(258\) | 19.9277i | 1.24064i | ||||||||
\(259\) | −0.342858 | −0.0213041 | ||||||||
\(260\) | 14.5871 | + | 10.1145i | 0.904656 | + | 0.627277i | ||||
\(261\) | 1.00000 | 0.0618984 | ||||||||
\(262\) | − | 44.6272i | − | 2.75708i | ||||||
\(263\) | − | 4.16928i | − | 0.257089i | −0.991704 | − | 0.128545i | \(-0.958969\pi\) | ||
0.991704 | − | 0.128545i | \(-0.0410305\pi\) | |||||||
\(264\) | −30.0334 | −1.84843 | ||||||||
\(265\) | −9.92799 | − | 6.88395i | −0.609872 | − | 0.422877i | ||||
\(266\) | −3.76377 | −0.230771 | ||||||||
\(267\) | 16.4911i | 1.00924i | ||||||||
\(268\) | 35.3690i | 2.16051i | ||||||||
\(269\) | 1.36011 | 0.0829273 | 0.0414636 | − | 0.999140i | \(-0.486798\pi\) | ||||
0.0414636 | + | 0.999140i | \(0.486798\pi\) | |||||||
\(270\) | 3.20964 | − | 4.62893i | 0.195333 | − | 0.281708i | ||||
\(271\) | 11.1448 | 0.676998 | 0.338499 | − | 0.940967i | \(-0.390081\pi\) | ||||
0.338499 | + | 0.940967i | \(0.390081\pi\) | |||||||
\(272\) | 26.3003i | 1.59469i | ||||||||
\(273\) | 0.316585i | 0.0191606i | ||||||||
\(274\) | 2.88381 | 0.174217 | ||||||||
\(275\) | −8.91048 | − | 23.7991i | −0.537322 | − | 1.43514i | ||||
\(276\) | 13.7478 | 0.827518 | ||||||||
\(277\) | − | 0.704673i | − | 0.0423397i | −0.999776 | − | 0.0211699i | \(-0.993261\pi\) | ||
0.999776 | − | 0.0211699i | \(-0.00673908\pi\) | |||||||
\(278\) | 10.2947i | 0.617437i | ||||||||
\(279\) | −3.22185 | −0.192887 | ||||||||
\(280\) | −1.30487 | + | 1.88188i | −0.0779811 | + | 0.112464i | ||||
\(281\) | −13.8119 | −0.823950 | −0.411975 | − | 0.911195i | \(-0.635161\pi\) | ||||
−0.411975 | + | 0.911195i | \(0.635161\pi\) | |||||||
\(282\) | 21.8377i | 1.30042i | ||||||||
\(283\) | 8.92142i | 0.530324i | 0.964204 | + | 0.265162i | \(0.0854254\pi\) | ||||
−0.964204 | + | 0.265162i | \(0.914575\pi\) | |||||||
\(284\) | 27.2018 | 1.61413 | ||||||||
\(285\) | −15.8414 | − | 10.9842i | −0.938363 | − | 0.650649i | ||||
\(286\) | 23.3875 | 1.38293 | ||||||||
\(287\) | 1.72712i | 0.101948i | ||||||||
\(288\) | 3.78527i | 0.223049i | ||||||||
\(289\) | −1.02833 | −0.0604902 | ||||||||
\(290\) | −4.62893 | − | 3.20964i | −0.271820 | − | 0.188477i | ||||
\(291\) | 2.74419 | 0.160867 | ||||||||
\(292\) | 29.3060i | 1.71500i | ||||||||
\(293\) | − | 31.2817i | − | 1.82750i | −0.406278 | − | 0.913749i | \(-0.633174\pi\) | ||
0.406278 | − | 0.913749i | \(-0.366826\pi\) | |||||||
\(294\) | 17.5579 | 1.02400 | ||||||||
\(295\) | 9.76350 | − | 14.0809i | 0.568453 | − | 0.819820i | ||||
\(296\) | 11.6900 | 0.679469 | ||||||||
\(297\) | − | 5.08250i | − | 0.294916i | ||||||
\(298\) | 3.78538i | 0.219281i | ||||||||
\(299\) | −5.77870 | −0.334191 | ||||||||
\(300\) | −20.3493 | + | 7.61887i | −1.17487 | + | 0.439876i | ||||
\(301\) | 1.37101 | 0.0790238 | ||||||||
\(302\) | 54.1343i | 3.11508i | ||||||||
\(303\) | 6.41474i | 0.368517i | ||||||||
\(304\) | 53.3996 | 3.06268 | ||||||||
\(305\) | −3.51934 | + | 5.07558i | −0.201517 | + | 0.290627i | ||||
\(306\) | −10.6960 | −0.611448 | ||||||||
\(307\) | 21.8533i | 1.24723i | 0.781730 | + | 0.623617i | \(0.214338\pi\) | ||||
−0.781730 | + | 0.623617i | \(0.785662\pi\) | |||||||
\(308\) | 3.82798i | 0.218120i | ||||||||
\(309\) | 7.08642 | 0.403132 | ||||||||
\(310\) | 14.9137 | + | 10.3410i | 0.847043 | + | 0.587329i | ||||
\(311\) | 28.8838 | 1.63785 | 0.818925 | − | 0.573901i | \(-0.194570\pi\) | ||||
0.818925 | + | 0.573901i | \(0.194570\pi\) | |||||||
\(312\) | − | 10.7942i | − | 0.611104i | ||||||
\(313\) | 8.24232i | 0.465884i | 0.972491 | + | 0.232942i | \(0.0748352\pi\) | ||||
−0.972491 | + | 0.232942i | \(0.925165\pi\) | |||||||
\(314\) | −28.0038 | −1.58034 | ||||||||
\(315\) | −0.318467 | − | 0.220821i | −0.0179436 | − | 0.0124419i | ||||
\(316\) | 19.7630 | 1.11175 | ||||||||
\(317\) | 7.15829i | 0.402050i | 0.979586 | + | 0.201025i | \(0.0644272\pi\) | ||||
−0.979586 | + | 0.201025i | \(0.935573\pi\) | |||||||
\(318\) | 13.6102i | 0.763223i | ||||||||
\(319\) | −5.08250 | −0.284565 | ||||||||
\(320\) | −3.63505 | + | 5.24246i | −0.203206 | + | 0.293062i | ||||
\(321\) | 0.925187 | 0.0516389 | ||||||||
\(322\) | − | 1.38113i | − | 0.0769672i | ||||||
\(323\) | 36.6043i | 2.03672i | ||||||||
\(324\) | −4.34577 | −0.241432 | ||||||||
\(325\) | 8.55359 | − | 3.20250i | 0.474468 | − | 0.177643i | ||||
\(326\) | −30.7781 | −1.70464 | ||||||||
\(327\) | − | 4.11700i | − | 0.227671i | ||||||
\(328\) | − | 58.8875i | − | 3.25152i | ||||||
\(329\) | 1.50242 | 0.0828311 | ||||||||
\(330\) | −16.3130 | + | 23.5265i | −0.898002 | + | 1.29509i | ||||
\(331\) | −24.6936 | −1.35728 | −0.678642 | − | 0.734470i | \(-0.737431\pi\) | ||||
−0.678642 | + | 0.734470i | \(0.737431\pi\) | |||||||
\(332\) | 50.5085i | 2.77201i | ||||||||
\(333\) | 1.97828i | 0.108409i | ||||||||
\(334\) | −53.8162 | −2.94469 | ||||||||
\(335\) | 14.9553 | + | 10.3698i | 0.817095 | + | 0.566563i | ||||
\(336\) | 1.07352 | 0.0585653 | ||||||||
\(337\) | − | 11.7142i | − | 0.638116i | −0.947735 | − | 0.319058i | \(-0.896634\pi\) | ||
0.947735 | − | 0.319058i | \(-0.103366\pi\) | |||||||
\(338\) | − | 24.3424i | − | 1.32405i | ||||||
\(339\) | −6.84626 | −0.371838 | ||||||||
\(340\) | 33.9065 | + | 23.5104i | 1.83884 | + | 1.27503i | ||||
\(341\) | 16.3751 | 0.886759 | ||||||||
\(342\) | 21.7168i | 1.17431i | ||||||||
\(343\) | − | 2.42115i | − | 0.130730i | ||||||
\(344\) | −46.7458 | −2.52036 | ||||||||
\(345\) | 4.03070 | − | 5.81305i | 0.217005 | − | 0.312964i | ||||
\(346\) | 33.1727 | 1.78337 | ||||||||
\(347\) | − | 0.828990i | − | 0.0445025i | −0.999752 | − | 0.0222513i | \(-0.992917\pi\) | ||
0.999752 | − | 0.0222513i | \(-0.00708338\pi\) | |||||||
\(348\) | 4.34577i | 0.232958i | ||||||||
\(349\) | 8.44370 | 0.451981 | 0.225991 | − | 0.974129i | \(-0.427438\pi\) | ||||
0.225991 | + | 0.974129i | \(0.427438\pi\) | |||||||
\(350\) | 0.765407 | + | 2.04433i | 0.0409127 | + | 0.109274i | ||||
\(351\) | 1.82669 | 0.0975014 | ||||||||
\(352\) | − | 19.2386i | − | 1.02542i | ||||||
\(353\) | − | 4.90553i | − | 0.261095i | −0.991442 | − | 0.130547i | \(-0.958327\pi\) | ||
0.991442 | − | 0.130547i | \(-0.0416735\pi\) | |||||||
\(354\) | −19.3034 | −1.02596 | ||||||||
\(355\) | 7.97528 | − | 11.5019i | 0.423284 | − | 0.610458i | ||||
\(356\) | −71.6664 | −3.79831 | ||||||||
\(357\) | 0.735875i | 0.0389466i | ||||||||
\(358\) | 26.9407i | 1.42386i | ||||||||
\(359\) | −4.69044 | −0.247552 | −0.123776 | − | 0.992310i | \(-0.539500\pi\) | ||||
−0.123776 | + | 0.992310i | \(0.539500\pi\) | |||||||
\(360\) | 10.8584 | + | 7.52909i | 0.572289 | + | 0.396818i | ||||
\(361\) | 55.3205 | 2.91161 | ||||||||
\(362\) | 38.4189i | 2.01925i | ||||||||
\(363\) | 14.8318i | 0.778466i | ||||||||
\(364\) | −1.37581 | −0.0721119 | ||||||||
\(365\) | 12.3916 | + | 8.59219i | 0.648607 | + | 0.449736i | ||||
\(366\) | 6.95807 | 0.363704 | ||||||||
\(367\) | − | 29.2460i | − | 1.52663i | −0.646028 | − | 0.763314i | \(-0.723571\pi\) | ||
0.646028 | − | 0.763314i | \(-0.276429\pi\) | |||||||
\(368\) | 19.5952i | 1.02147i | ||||||||
\(369\) | 9.96541 | 0.518779 | ||||||||
\(370\) | 6.34958 | − | 9.15733i | 0.330099 | − | 0.476067i | ||||
\(371\) | 0.936373 | 0.0486140 | ||||||||
\(372\) | − | 14.0014i | − | 0.725940i | ||||||
\(373\) | 34.5171i | 1.78723i | 0.448839 | + | 0.893613i | \(0.351838\pi\) | ||||
−0.448839 | + | 0.893613i | \(0.648162\pi\) | |||||||
\(374\) | 54.3622 | 2.81100 | ||||||||
\(375\) | −2.74467 | + | 10.8382i | −0.141734 | + | 0.559683i | ||||
\(376\) | −51.2263 | −2.64179 | ||||||||
\(377\) | − | 1.82669i | − | 0.0940793i | ||||||
\(378\) | 0.436584i | 0.0224555i | ||||||||
\(379\) | 3.20131 | 0.164440 | 0.0822201 | − | 0.996614i | \(-0.473799\pi\) | ||||
0.0822201 | + | 0.996614i | \(0.473799\pi\) | |||||||
\(380\) | 47.7349 | − | 68.8430i | 2.44875 | − | 3.53157i | ||||
\(381\) | −5.25850 | −0.269401 | ||||||||
\(382\) | 64.7733i | 3.31409i | ||||||||
\(383\) | 19.4424i | 0.993458i | 0.867906 | + | 0.496729i | \(0.165466\pi\) | ||||
−0.867906 | + | 0.496729i | \(0.834534\pi\) | |||||||
\(384\) | 14.7574 | 0.753084 | ||||||||
\(385\) | 1.61861 | + | 1.12232i | 0.0824920 | + | 0.0571989i | ||||
\(386\) | −57.6705 | −2.93535 | ||||||||
\(387\) | − | 7.91070i | − | 0.402123i | ||||||
\(388\) | 11.9256i | 0.605432i | ||||||||
\(389\) | −2.55875 | −0.129734 | −0.0648669 | − | 0.997894i | \(-0.520662\pi\) | ||||
−0.0648669 | + | 0.997894i | \(0.520662\pi\) | |||||||
\(390\) | −8.45562 | − | 5.86302i | −0.428167 | − | 0.296886i | ||||
\(391\) | −13.4321 | −0.679289 | ||||||||
\(392\) | 41.1868i | 2.08025i | ||||||||
\(393\) | 17.7157i | 0.893637i | ||||||||
\(394\) | −2.11807 | −0.106707 | ||||||||
\(395\) | 5.79429 | − | 8.35650i | 0.291542 | − | 0.420461i | ||||
\(396\) | 22.0874 | 1.10993 | ||||||||
\(397\) | − | 30.6583i | − | 1.53869i | −0.638831 | − | 0.769347i | \(-0.720582\pi\) | ||
0.638831 | − | 0.769347i | \(-0.279418\pi\) | |||||||
\(398\) | − | 67.0067i | − | 3.35874i | ||||||
\(399\) | 1.49410 | 0.0747987 | ||||||||
\(400\) | −10.8594 | − | 29.0046i | −0.542972 | − | 1.45023i | ||||
\(401\) | 11.1628 | 0.557446 | 0.278723 | − | 0.960372i | \(-0.410089\pi\) | ||||
0.278723 | + | 0.960372i | \(0.410089\pi\) | |||||||
\(402\) | − | 20.5021i | − | 1.02255i | ||||||
\(403\) | 5.88532i | 0.293169i | ||||||||
\(404\) | −27.8770 | −1.38693 | ||||||||
\(405\) | −1.27413 | + | 1.83755i | −0.0633122 | + | 0.0913085i | ||||
\(406\) | 0.436584 | 0.0216673 | ||||||||
\(407\) | − | 10.0546i | − | 0.498388i | ||||||
\(408\) | − | 25.0903i | − | 1.24215i | ||||||
\(409\) | −13.3880 | −0.661994 | −0.330997 | − | 0.943632i | \(-0.607385\pi\) | ||||
−0.330997 | + | 0.943632i | \(0.607385\pi\) | |||||||
\(410\) | −46.1292 | − | 31.9854i | −2.27816 | − | 1.57965i | ||||
\(411\) | −1.14479 | −0.0564681 | ||||||||
\(412\) | 30.7959i | 1.51721i | ||||||||
\(413\) | 1.32806i | 0.0653495i | ||||||||
\(414\) | −7.96907 | −0.391658 | ||||||||
\(415\) | 21.3568 | + | 14.8085i | 1.04836 | + | 0.726923i | ||||
\(416\) | 6.91451 | 0.339012 | ||||||||
\(417\) | − | 4.08670i | − | 0.200127i | ||||||
\(418\) | − | 110.376i | − | 5.39865i | ||||||
\(419\) | −29.2982 | −1.43131 | −0.715655 | − | 0.698454i | \(-0.753872\pi\) | ||||
−0.715655 | + | 0.698454i | \(0.753872\pi\) | |||||||
\(420\) | 0.959639 | − | 1.38399i | 0.0468256 | − | 0.0675316i | ||||
\(421\) | 10.1098 | 0.492724 | 0.246362 | − | 0.969178i | \(-0.420765\pi\) | ||||
0.246362 | + | 0.969178i | \(0.420765\pi\) | |||||||
\(422\) | − | 4.69456i | − | 0.228528i | ||||||
\(423\) | − | 8.66893i | − | 0.421498i | ||||||
\(424\) | −31.9264 | −1.55048 | ||||||||
\(425\) | 19.8821 | − | 7.44392i | 0.964422 | − | 0.361083i | ||||
\(426\) | −15.7679 | −0.763957 | ||||||||
\(427\) | − | 0.478710i | − | 0.0231664i | ||||||
\(428\) | 4.02065i | 0.194345i | ||||||||
\(429\) | −9.28414 | −0.448243 | ||||||||
\(430\) | −25.3905 | + | 36.6181i | −1.22444 | + | 1.76588i | ||||
\(431\) | 30.3330 | 1.46109 | 0.730545 | − | 0.682865i | \(-0.239266\pi\) | ||||
0.730545 | + | 0.682865i | \(0.239266\pi\) | |||||||
\(432\) | − | 6.19418i | − | 0.298018i | ||||||
\(433\) | − | 6.50520i | − | 0.312620i | −0.987708 | − | 0.156310i | \(-0.950040\pi\) | ||
0.987708 | − | 0.156310i | \(-0.0499599\pi\) | |||||||
\(434\) | −1.40661 | −0.0675195 | ||||||||
\(435\) | 1.83755 | + | 1.27413i | 0.0881037 | + | 0.0610900i | ||||
\(436\) | 17.8915 | 0.856850 | ||||||||
\(437\) | 27.2722i | 1.30460i | ||||||||
\(438\) | − | 16.9876i | − | 0.811698i | ||||||
\(439\) | 9.40248 | 0.448756 | 0.224378 | − | 0.974502i | \(-0.427965\pi\) | ||||
0.224378 | + | 0.974502i | \(0.427965\pi\) | |||||||
\(440\) | −55.1879 | − | 38.2666i | −2.63098 | − | 1.82429i | ||||
\(441\) | −6.96996 | −0.331903 | ||||||||
\(442\) | 19.5382i | 0.929337i | ||||||||
\(443\) | 28.1657i | 1.33819i | 0.743175 | + | 0.669097i | \(0.233319\pi\) | ||||
−0.743175 | + | 0.669097i | \(0.766681\pi\) | |||||||
\(444\) | −8.59715 | −0.408003 | ||||||||
\(445\) | −21.0118 | + | 30.3031i | −0.996055 | + | 1.43651i | ||||
\(446\) | 63.1682 | 2.99110 | ||||||||
\(447\) | − | 1.50268i | − | 0.0710744i | ||||||
\(448\) | − | 0.494450i | − | 0.0233605i | ||||||
\(449\) | 32.2625 | 1.52256 | 0.761281 | − | 0.648422i | \(-0.224571\pi\) | ||||
0.761281 | + | 0.648422i | \(0.224571\pi\) | |||||||
\(450\) | 11.7958 | − | 4.41638i | 0.556057 | − | 0.208190i | ||||
\(451\) | −50.6492 | −2.38498 | ||||||||
\(452\) | − | 29.7523i | − | 1.39943i | ||||||
\(453\) | − | 21.4897i | − | 1.00967i | ||||||
\(454\) | −51.3583 | −2.41037 | ||||||||
\(455\) | −0.403372 | + | 0.581741i | −0.0189104 | + | 0.0272724i | ||||
\(456\) | −50.9427 | −2.38561 | ||||||||
\(457\) | − | 27.1466i | − | 1.26986i | −0.772568 | − | 0.634932i | \(-0.781028\pi\) | ||
0.772568 | − | 0.634932i | \(-0.218972\pi\) | |||||||
\(458\) | − | 14.7160i | − | 0.687631i | ||||||
\(459\) | 4.24598 | 0.198185 | ||||||||
\(460\) | 25.2622 | + | 17.5165i | 1.17786 | + | 0.816710i | ||||
\(461\) | 7.00940 | 0.326460 | 0.163230 | − | 0.986588i | \(-0.447809\pi\) | ||||
0.163230 | + | 0.986588i | \(0.447809\pi\) | |||||||
\(462\) | − | 2.21894i | − | 0.103234i | ||||||
\(463\) | − | 21.7590i | − | 1.01123i | −0.862760 | − | 0.505613i | \(-0.831266\pi\) | ||
0.862760 | − | 0.505613i | \(-0.168734\pi\) | |||||||
\(464\) | −6.19418 | −0.287558 | ||||||||
\(465\) | −5.92031 | − | 4.10507i | −0.274548 | − | 0.190368i | ||||
\(466\) | 35.5733 | 1.64790 | ||||||||
\(467\) | − | 30.7825i | − | 1.42445i | −0.701953 | − | 0.712223i | \(-0.747688\pi\) | ||
0.701953 | − | 0.712223i | \(-0.252312\pi\) | |||||||
\(468\) | 7.93837i | 0.366951i | ||||||||
\(469\) | −1.41053 | −0.0651322 | ||||||||
\(470\) | −27.8242 | + | 40.1279i | −1.28343 | + | 1.85096i | ||||
\(471\) | 11.1167 | 0.512228 | ||||||||
\(472\) | − | 45.2813i | − | 2.08424i | ||||||
\(473\) | 40.2061i | 1.84868i | ||||||||
\(474\) | −11.4559 | −0.526185 | ||||||||
\(475\) | −15.1140 | − | 40.3681i | −0.693476 | − | 1.85221i | ||||
\(476\) | −3.19794 | −0.146577 | ||||||||
\(477\) | − | 5.40285i | − | 0.247379i | ||||||
\(478\) | − | 16.0984i | − | 0.736324i | ||||||
\(479\) | 6.29237 | 0.287506 | 0.143753 | − | 0.989614i | \(-0.454083\pi\) | ||||
0.143753 | + | 0.989614i | \(0.454083\pi\) | |||||||
\(480\) | −4.82293 | + | 6.95561i | −0.220136 | + | 0.317479i | ||||
\(481\) | 3.61370 | 0.164771 | ||||||||
\(482\) | 25.6222i | 1.16706i | ||||||||
\(483\) | 0.548266i | 0.0249470i | ||||||||
\(484\) | −64.4555 | −2.92979 | ||||||||
\(485\) | 5.04259 | + | 3.49647i | 0.228972 | + | 0.158766i | ||||
\(486\) | 2.51908 | 0.114268 | ||||||||
\(487\) | 30.3406i | 1.37487i | 0.726248 | + | 0.687433i | \(0.241262\pi\) | ||||
−0.726248 | + | 0.687433i | \(0.758738\pi\) | |||||||
\(488\) | 16.3220i | 0.738864i | ||||||||
\(489\) | 12.2180 | 0.552517 | ||||||||
\(490\) | 32.2635 | + | 22.3711i | 1.45752 | + | 1.01062i | ||||
\(491\) | 17.7822 | 0.802502 | 0.401251 | − | 0.915968i | \(-0.368576\pi\) | ||||
0.401251 | + | 0.915968i | \(0.368576\pi\) | |||||||
\(492\) | 43.3074i | 1.95245i | ||||||||
\(493\) | − | 4.24598i | − | 0.191229i | ||||||
\(494\) | 39.6699 | 1.78483 | ||||||||
\(495\) | 6.47578 | − | 9.33933i | 0.291065 | − | 0.419772i | ||||
\(496\) | 19.9567 | 0.896083 | ||||||||
\(497\) | 1.08482i | 0.0486608i | ||||||||
\(498\) | − | 29.2779i | − | 1.31197i | ||||||
\(499\) | −0.262248 | −0.0117399 | −0.00586993 | − | 0.999983i | \(-0.501868\pi\) | ||||
−0.00586993 | + | 0.999983i | \(0.501868\pi\) | |||||||
\(500\) | −47.1004 | − | 11.9277i | −2.10639 | − | 0.533424i | ||||
\(501\) | 21.3634 | 0.954447 | ||||||||
\(502\) | 39.6974i | 1.77178i | ||||||||
\(503\) | − | 15.0486i | − | 0.670986i | −0.942043 | − | 0.335493i | \(-0.891097\pi\) | ||
0.942043 | − | 0.335493i | \(-0.108903\pi\) | |||||||
\(504\) | −1.02413 | −0.0456182 | ||||||||
\(505\) | −8.17323 | + | 11.7874i | −0.363704 | + | 0.524532i | ||||
\(506\) | 40.5028 | 1.80057 | ||||||||
\(507\) | 9.66321i | 0.429158i | ||||||||
\(508\) | − | 22.8522i | − | 1.01390i | ||||||
\(509\) | −39.8752 | −1.76744 | −0.883719 | − | 0.468019i | \(-0.844968\pi\) | ||||
−0.883719 | + | 0.468019i | \(0.844968\pi\) | |||||||
\(510\) | −19.6544 | − | 13.6281i | −0.870309 | − | 0.603462i | ||||
\(511\) | −1.16873 | −0.0517017 | ||||||||
\(512\) | 49.7585i | 2.19904i | ||||||||
\(513\) | − | 8.62093i | − | 0.380624i | ||||||
\(514\) | −31.1071 | −1.37207 | ||||||||
\(515\) | 13.0216 | + | 9.02904i | 0.573802 | + | 0.397867i | ||||
\(516\) | 34.3781 | 1.51341 | ||||||||
\(517\) | 44.0598i | 1.93775i | ||||||||
\(518\) | 0.863687i | 0.0379482i | ||||||||
\(519\) | −13.1686 | −0.578036 | ||||||||
\(520\) | 13.7533 | − | 19.8349i | 0.603122 | − | 0.869820i | ||||
\(521\) | 18.3187 | 0.802557 | 0.401279 | − | 0.915956i | \(-0.368566\pi\) | ||||
0.401279 | + | 0.915956i | \(0.368566\pi\) | |||||||
\(522\) | − | 2.51908i | − | 0.110257i | ||||||
\(523\) | − | 6.04576i | − | 0.264363i | −0.991226 | − | 0.132181i | \(-0.957802\pi\) | ||
0.991226 | − | 0.132181i | \(-0.0421981\pi\) | |||||||
\(524\) | −76.9882 | −3.36325 | ||||||||
\(525\) | −0.303844 | − | 0.811540i | −0.0132608 | − | 0.0354185i | ||||
\(526\) | −10.5028 | −0.457942 | ||||||||
\(527\) | 13.6799i | 0.595906i | ||||||||
\(528\) | 31.4819i | 1.37007i | ||||||||
\(529\) | 12.9924 | 0.564886 | ||||||||
\(530\) | −17.3412 | + | 25.0094i | −0.753254 | + | 1.08634i | ||||
\(531\) | 7.66286 | 0.332540 | ||||||||
\(532\) | 6.49303i | 0.281508i | ||||||||
\(533\) | − | 18.2037i | − | 0.788490i | ||||||
\(534\) | 41.5423 | 1.79771 | ||||||||
\(535\) | 1.70008 | + | 1.17881i | 0.0735007 | + | 0.0509645i | ||||
\(536\) | 48.0932 | 2.07731 | ||||||||
\(537\) | − | 10.6947i | − | 0.461509i | ||||||
\(538\) | − | 3.42622i | − | 0.147715i | ||||||
\(539\) | 35.4248 | 1.52585 | ||||||||
\(540\) | −7.98556 | − | 5.53709i | −0.343644 | − | 0.238278i | ||||
\(541\) | −35.6643 | −1.53333 | −0.766664 | − | 0.642049i | \(-0.778085\pi\) | ||||
−0.766664 | + | 0.642049i | \(0.778085\pi\) | |||||||
\(542\) | − | 28.0746i | − | 1.20591i | ||||||
\(543\) | − | 15.2511i | − | 0.654489i | ||||||
\(544\) | 16.0722 | 0.689088 | ||||||||
\(545\) | 5.24561 | − | 7.56519i | 0.224697 | − | 0.324057i | ||||
\(546\) | 0.797504 | 0.0341300 | ||||||||
\(547\) | 5.23087i | 0.223656i | 0.993728 | + | 0.111828i | \(0.0356706\pi\) | ||||
−0.993728 | + | 0.111828i | \(0.964329\pi\) | |||||||
\(548\) | − | 4.97498i | − | 0.212520i | ||||||
\(549\) | −2.76215 | −0.117886 | ||||||||
\(550\) | −59.9519 | + | 22.4462i | −2.55636 | + | 0.957110i | ||||
\(551\) | −8.62093 | −0.367264 | ||||||||
\(552\) | − | 18.6936i | − | 0.795653i | ||||||
\(553\) | 0.788155i | 0.0335157i | ||||||||
\(554\) | −1.77513 | −0.0754180 | ||||||||
\(555\) | −2.52059 | + | 3.63519i | −0.106993 | + | 0.154305i | ||||
\(556\) | 17.7599 | 0.753186 | ||||||||
\(557\) | − | 32.9893i | − | 1.39780i | −0.715219 | − | 0.698900i | \(-0.753673\pi\) | ||
0.715219 | − | 0.698900i | \(-0.246327\pi\) | |||||||
\(558\) | 8.11611i | 0.343582i | ||||||||
\(559\) | −14.4504 | −0.611186 | ||||||||
\(560\) | 1.97264 | + | 1.36781i | 0.0833594 | + | 0.0578004i | ||||
\(561\) | −21.5802 | −0.911116 | ||||||||
\(562\) | 34.7933i | 1.46767i | ||||||||
\(563\) | 5.94931i | 0.250734i | 0.992110 | + | 0.125367i | \(0.0400108\pi\) | ||||
−0.992110 | + | 0.125367i | \(0.959989\pi\) | |||||||
\(564\) | 37.6732 | 1.58633 | ||||||||
\(565\) | −12.5803 | − | 8.72305i | −0.529259 | − | 0.366981i | ||||
\(566\) | 22.4738 | 0.944644 | ||||||||
\(567\) | − | 0.173311i | − | 0.00727838i | ||||||
\(568\) | − | 36.9878i | − | 1.55198i | ||||||
\(569\) | 14.6940 | 0.616003 | 0.308002 | − | 0.951386i | \(-0.400340\pi\) | ||||
0.308002 | + | 0.951386i | \(0.400340\pi\) | |||||||
\(570\) | −27.6701 | + | 39.9057i | −1.15897 | + | 1.67147i | ||||
\(571\) | 7.86509 | 0.329144 | 0.164572 | − | 0.986365i | \(-0.447376\pi\) | ||||
0.164572 | + | 0.986365i | \(0.447376\pi\) | |||||||
\(572\) | − | 40.3467i | − | 1.68698i | ||||||
\(573\) | − | 25.7131i | − | 1.07418i | ||||||
\(574\) | 4.35074 | 0.181597 | ||||||||
\(575\) | 14.8132 | − | 5.54612i | 0.617753 | − | 0.231289i | ||||
\(576\) | −2.85296 | −0.118873 | ||||||||
\(577\) | − | 29.7454i | − | 1.23832i | −0.785265 | − | 0.619159i | \(-0.787474\pi\) | ||
0.785265 | − | 0.619159i | \(-0.212526\pi\) | |||||||
\(578\) | 2.59045i | 0.107749i | ||||||||
\(579\) | 22.8935 | 0.951419 | ||||||||
\(580\) | −5.53709 | + | 7.98556i | −0.229915 | + | 0.331582i | ||||
\(581\) | −2.01430 | −0.0835671 | ||||||||
\(582\) | − | 6.91284i | − | 0.286547i | ||||||
\(583\) | 27.4599i | 1.13727i | ||||||||
\(584\) | 39.8489 | 1.64896 | ||||||||
\(585\) | 3.35663 | + | 2.32744i | 0.138780 | + | 0.0962280i | ||||
\(586\) | −78.8013 | −3.25525 | ||||||||
\(587\) | 46.1639i | 1.90539i | 0.303929 | + | 0.952695i | \(0.401701\pi\) | ||||
−0.303929 | + | 0.952695i | \(0.598299\pi\) | |||||||
\(588\) | − | 30.2899i | − | 1.24913i | ||||||
\(589\) | 27.7754 | 1.14446 | ||||||||
\(590\) | −35.4709 | − | 24.5951i | −1.46031 | − | 1.01256i | ||||
\(591\) | 0.840810 | 0.0345863 | ||||||||
\(592\) | − | 12.2538i | − | 0.503629i | ||||||
\(593\) | − | 22.6806i | − | 0.931382i | −0.884948 | − | 0.465691i | \(-0.845806\pi\) | ||
0.884948 | − | 0.465691i | \(-0.154194\pi\) | |||||||
\(594\) | −12.8032 | −0.525323 | ||||||||
\(595\) | −0.937602 | + | 1.35221i | −0.0384379 | + | 0.0554350i | ||||
\(596\) | 6.53031 | 0.267492 | ||||||||
\(597\) | 26.5996i | 1.08865i | ||||||||
\(598\) | 14.5570i | 0.595280i | ||||||||
\(599\) | −22.8764 | −0.934704 | −0.467352 | − | 0.884071i | \(-0.654792\pi\) | ||||
−0.467352 | + | 0.884071i | \(0.654792\pi\) | |||||||
\(600\) | 10.3598 | + | 27.6701i | 0.422937 | + | 1.12963i | ||||
\(601\) | 14.6918 | 0.599291 | 0.299646 | − | 0.954051i | \(-0.403132\pi\) | ||||
0.299646 | + | 0.954051i | \(0.403132\pi\) | |||||||
\(602\) | − | 3.45369i | − | 0.140762i | ||||||
\(603\) | 8.13872i | 0.331434i | ||||||||
\(604\) | 93.3893 | 3.79996 | ||||||||
\(605\) | −18.8977 | + | 27.2541i | −0.768299 | + | 1.10804i | ||||
\(606\) | 16.1592 | 0.656424 | ||||||||
\(607\) | 20.9484i | 0.850270i | 0.905130 | + | 0.425135i | \(0.139773\pi\) | ||||
−0.905130 | + | 0.425135i | \(0.860227\pi\) | |||||||
\(608\) | − | 32.6325i | − | 1.32342i | ||||||
\(609\) | −0.173311 | −0.00702292 | ||||||||
\(610\) | 12.7858 | + | 8.86551i | 0.517682 | + | 0.358954i | ||||
\(611\) | −15.8354 | −0.640633 | ||||||||
\(612\) | 18.4520i | 0.745880i | ||||||||
\(613\) | − | 42.0373i | − | 1.69787i | −0.528496 | − | 0.848936i | \(-0.677244\pi\) | ||
0.528496 | − | 0.848936i | \(-0.322756\pi\) | |||||||
\(614\) | 55.0503 | 2.22165 | ||||||||
\(615\) | 18.3119 | + | 12.6973i | 0.738408 | + | 0.512003i | ||||
\(616\) | 5.20512 | 0.209720 | ||||||||
\(617\) | − | 44.6853i | − | 1.79896i | −0.436958 | − | 0.899482i | \(-0.643944\pi\) | ||
0.436958 | − | 0.899482i | \(-0.356056\pi\) | |||||||
\(618\) | − | 17.8513i | − | 0.718083i | ||||||
\(619\) | 22.1966 | 0.892157 | 0.446079 | − | 0.894994i | \(-0.352820\pi\) | ||||
0.446079 | + | 0.894994i | \(0.352820\pi\) | |||||||
\(620\) | 17.8397 | − | 25.7283i | 0.716459 | − | 1.03327i | ||||
\(621\) | 3.16348 | 0.126946 | ||||||||
\(622\) | − | 72.7606i | − | 2.91744i | ||||||
\(623\) | − | 2.85808i | − | 0.114507i | ||||||
\(624\) | −11.3148 | −0.452956 | ||||||||
\(625\) | −18.8528 | + | 16.4187i | −0.754112 | + | 0.656746i | ||||
\(626\) | 20.7631 | 0.829859 | ||||||||
\(627\) | 43.8159i | 1.74984i | ||||||||
\(628\) | 48.3104i | 1.92780i | ||||||||
\(629\) | 8.39974 | 0.334919 | ||||||||
\(630\) | −0.556267 | + | 0.802245i | −0.0221622 | + | 0.0319622i | ||||
\(631\) | −5.29765 | −0.210896 | −0.105448 | − | 0.994425i | \(-0.533628\pi\) | ||||
−0.105448 | + | 0.994425i | \(0.533628\pi\) | |||||||
\(632\) | − | 26.8728i | − | 1.06894i | ||||||
\(633\) | 1.86360i | 0.0740715i | ||||||||
\(634\) | 18.0323 | 0.716155 | ||||||||
\(635\) | −9.66275 | − | 6.70003i | −0.383455 | − | 0.265883i | ||||
\(636\) | 23.4795 | 0.931024 | ||||||||
\(637\) | 12.7320i | 0.504458i | ||||||||
\(638\) | 12.8032i | 0.506884i | ||||||||
\(639\) | 6.25938 | 0.247617 | ||||||||
\(640\) | 27.1174 | + | 18.8029i | 1.07191 | + | 0.743248i | ||||
\(641\) | 3.21592 | 0.127021 | 0.0635107 | − | 0.997981i | \(-0.479770\pi\) | ||||
0.0635107 | + | 0.997981i | \(0.479770\pi\) | |||||||
\(642\) | − | 2.33062i | − | 0.0919823i | ||||||
\(643\) | 32.0630i | 1.26444i | 0.774788 | + | 0.632221i | \(0.217857\pi\) | ||||
−0.774788 | + | 0.632221i | \(0.782143\pi\) | |||||||
\(644\) | −2.38264 | −0.0938891 | ||||||||
\(645\) | 10.0793 | − | 14.5363i | 0.396871 | − | 0.572366i | ||||
\(646\) | 92.2092 | 3.62792 | ||||||||
\(647\) | − | 9.26571i | − | 0.364273i | −0.983273 | − | 0.182136i | \(-0.941699\pi\) | ||
0.983273 | − | 0.182136i | \(-0.0583012\pi\) | |||||||
\(648\) | 5.90919i | 0.232135i | ||||||||
\(649\) | −38.9465 | −1.52878 | ||||||||
\(650\) | −8.06735 | − | 21.5472i | −0.316427 | − | 0.845150i | ||||
\(651\) | 0.558382 | 0.0218847 | ||||||||
\(652\) | 53.0966i | 2.07942i | ||||||||
\(653\) | 22.2362i | 0.870171i | 0.900389 | + | 0.435085i | \(0.143282\pi\) | ||||
−0.900389 | + | 0.435085i | \(0.856718\pi\) | |||||||
\(654\) | −10.3711 | −0.405541 | ||||||||
\(655\) | −22.5721 | + | 32.5534i | −0.881966 | + | 1.27197i | ||||
\(656\) | −61.7275 | −2.41006 | ||||||||
\(657\) | 6.74356i | 0.263091i | ||||||||
\(658\) | − | 3.78472i | − | 0.147544i | ||||||
\(659\) | −34.6708 | −1.35058 | −0.675291 | − | 0.737552i | \(-0.735982\pi\) | ||||
−0.675291 | + | 0.737552i | \(0.735982\pi\) | |||||||
\(660\) | 40.5866 | + | 28.1422i | 1.57983 | + | 1.09544i | ||||
\(661\) | −9.67217 | −0.376204 | −0.188102 | − | 0.982150i | \(-0.560234\pi\) | ||||
−0.188102 | + | 0.982150i | \(0.560234\pi\) | |||||||
\(662\) | 62.2052i | 2.41767i | ||||||||
\(663\) | − | 7.75608i | − | 0.301221i | ||||||
\(664\) | 68.6792 | 2.66527 | ||||||||
\(665\) | 2.74549 | + | 1.90369i | 0.106465 | + | 0.0738218i | ||||
\(666\) | 4.98345 | 0.193105 | ||||||||
\(667\) | − | 3.16348i | − | 0.122491i | ||||||
\(668\) | 92.8405i | 3.59211i | ||||||||
\(669\) | −25.0759 | −0.969489 | ||||||||
\(670\) | 26.1224 | − | 37.6736i | 1.00920 | − | 1.45546i | ||||
\(671\) | 14.0386 | 0.541954 | ||||||||
\(672\) | − | 0.656028i | − | 0.0253068i | ||||||
\(673\) | 24.7689i | 0.954770i | 0.878694 | + | 0.477385i | \(0.158415\pi\) | ||||
−0.878694 | + | 0.477385i | \(0.841585\pi\) | |||||||
\(674\) | −29.5091 | −1.13665 | ||||||||
\(675\) | −4.68256 | + | 1.75317i | −0.180232 | + | 0.0674795i | ||||
\(676\) | −41.9941 | −1.61516 | ||||||||
\(677\) | − | 33.3636i | − | 1.28227i | −0.767430 | − | 0.641133i | \(-0.778465\pi\) | ||
0.767430 | − | 0.641133i | \(-0.221535\pi\) | |||||||
\(678\) | 17.2463i | 0.662340i | ||||||||
\(679\) | −0.475599 | −0.0182518 | ||||||||
\(680\) | 31.9684 | − | 46.1046i | 1.22593 | − | 1.76803i | ||||
\(681\) | 20.3877 | 0.781259 | ||||||||
\(682\) | − | 41.2501i | − | 1.57955i | ||||||
\(683\) | − | 13.9516i | − | 0.533842i | −0.963718 | − | 0.266921i | \(-0.913994\pi\) | ||
0.963718 | − | 0.266921i | \(-0.0860063\pi\) | |||||||
\(684\) | 37.4646 | 1.43249 | ||||||||
\(685\) | −2.10360 | − | 1.45861i | −0.0803744 | − | 0.0557306i | ||||
\(686\) | −6.09907 | −0.232864 | ||||||||
\(687\) | 5.84179i | 0.222878i | ||||||||
\(688\) | 49.0003i | 1.86812i | ||||||||
\(689\) | −9.86932 | −0.375991 | ||||||||
\(690\) | −14.6435 | − | 10.1537i | −0.557470 | − | 0.386543i | ||||
\(691\) | 50.5611 | 1.92344 | 0.961718 | − | 0.274042i | \(-0.0883607\pi\) | ||||
0.961718 | + | 0.274042i | \(0.0883607\pi\) | |||||||
\(692\) | − | 57.2276i | − | 2.17547i | ||||||
\(693\) | 0.880853i | 0.0334608i | ||||||||
\(694\) | −2.08829 | −0.0792705 | ||||||||
\(695\) | 5.20700 | − | 7.50952i | 0.197513 | − | 0.284852i | ||||
\(696\) | 5.90919 | 0.223987 | ||||||||
\(697\) | − | 42.3129i | − | 1.60272i | ||||||
\(698\) | − | 21.2704i | − | 0.805096i | ||||||
\(699\) | −14.1216 | −0.534126 | ||||||||
\(700\) | 3.52676 | − | 1.32043i | 0.133299 | − | 0.0499077i | ||||
\(701\) | −24.0803 | −0.909499 | −0.454749 | − | 0.890620i | \(-0.650271\pi\) | ||||
−0.454749 | + | 0.890620i | \(0.650271\pi\) | |||||||
\(702\) | − | 4.60158i | − | 0.173675i | ||||||
\(703\) | − | 17.0546i | − | 0.643227i | ||||||
\(704\) | 14.5002 | 0.546496 | ||||||||
\(705\) | 11.0454 | − | 15.9296i | 0.415992 | − | 0.599942i | ||||
\(706\) | −12.3574 | −0.465078 | ||||||||
\(707\) | − | 1.11174i | − | 0.0418114i | ||||||
\(708\) | 33.3010i | 1.25153i | ||||||||
\(709\) | −0.769569 | −0.0289018 | −0.0144509 | − | 0.999896i | \(-0.504600\pi\) | ||||
−0.0144509 | + | 0.999896i | \(0.504600\pi\) | |||||||
\(710\) | −28.9743 | − | 20.0904i | −1.08738 | − | 0.753979i | ||||
\(711\) | 4.54763 | 0.170550 | ||||||||
\(712\) | 97.4487i | 3.65205i | ||||||||
\(713\) | 10.1923i | 0.381703i | ||||||||
\(714\) | 1.85373 | 0.0693740 | ||||||||
\(715\) | −17.0601 | − | 11.8292i | −0.638010 | − | 0.442388i | ||||
\(716\) | 46.4766 | 1.73691 | ||||||||
\(717\) | 6.39059i | 0.238661i | ||||||||
\(718\) | 11.8156i | 0.440955i | ||||||||
\(719\) | −4.92456 | −0.183655 | −0.0918275 | − | 0.995775i | \(-0.529271\pi\) | ||||
−0.0918275 | + | 0.995775i | \(0.529271\pi\) | |||||||
\(720\) | 7.89221 | − | 11.3821i | 0.294125 | − | 0.424186i | ||||
\(721\) | −1.22815 | −0.0457388 | ||||||||
\(722\) | − | 139.357i | − | 5.18632i | ||||||
\(723\) | − | 10.1713i | − | 0.378273i | ||||||
\(724\) | 66.2780 | 2.46320 | ||||||||
\(725\) | 1.75317 | + | 4.68256i | 0.0651111 | + | 0.173906i | ||||
\(726\) | 37.3624 | 1.38665 | ||||||||
\(727\) | 41.8838i | 1.55339i | 0.629880 | + | 0.776693i | \(0.283104\pi\) | ||||
−0.629880 | + | 0.776693i | \(0.716896\pi\) | |||||||
\(728\) | 1.87076i | 0.0693350i | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 21.6444 | − | 31.2155i | 0.801096 | − | 1.15534i | ||||
\(731\) | −33.5887 | −1.24232 | ||||||||
\(732\) | − | 12.0037i | − | 0.443668i | ||||||
\(733\) | 27.1372i | 1.00234i | 0.865350 | + | 0.501168i | \(0.167096\pi\) | ||||
−0.865350 | + | 0.501168i | \(0.832904\pi\) | |||||||
\(734\) | −73.6730 | −2.71932 | ||||||||
\(735\) | −12.8076 | − | 8.88066i | −0.472417 | − | 0.327568i | ||||
\(736\) | 11.9746 | 0.441390 | ||||||||
\(737\) | − | 41.3650i | − | 1.52370i | ||||||
\(738\) | − | 25.1037i | − | 0.924079i | ||||||
\(739\) | 3.41445 | 0.125603 | 0.0628013 | − | 0.998026i | \(-0.479997\pi\) | ||||
0.0628013 | + | 0.998026i | \(0.479997\pi\) | |||||||
\(740\) | −15.7977 | − | 10.9539i | −0.580735 | − | 0.402674i | ||||
\(741\) | −15.7478 | −0.578509 | ||||||||
\(742\) | − | 2.35880i | − | 0.0865942i | ||||||
\(743\) | − | 3.73961i | − | 0.137193i | −0.997644 | − | 0.0685966i | \(-0.978148\pi\) | ||
0.997644 | − | 0.0685966i | \(-0.0218521\pi\) | |||||||
\(744\) | −19.0385 | −0.697986 | ||||||||
\(745\) | 1.91462 | − | 2.76125i | 0.0701461 | − | 0.101164i | ||||
\(746\) | 86.9513 | 3.18351 | ||||||||
\(747\) | 11.6224i | 0.425243i | ||||||||
\(748\) | − | 93.7825i | − | 3.42903i | ||||||
\(749\) | −0.160345 | −0.00585888 | ||||||||
\(750\) | 27.3023 | + | 6.91406i | 0.996940 | + | 0.252466i | ||||
\(751\) | −24.1900 | −0.882707 | −0.441354 | − | 0.897333i | \(-0.645502\pi\) | ||||
−0.441354 | + | 0.897333i | \(0.645502\pi\) | |||||||
\(752\) | 53.6969i | 1.95812i | ||||||||
\(753\) | − | 15.7587i | − | 0.574278i | ||||||
\(754\) | −4.60158 | −0.167580 | ||||||||
\(755\) | 27.3807 | − | 39.4884i | 0.996487 | − | 1.43713i | ||||
\(756\) | 0.753170 | 0.0273925 | ||||||||
\(757\) | − | 3.55451i | − | 0.129191i | −0.997912 | − | 0.0645953i | \(-0.979424\pi\) | ||
0.997912 | − | 0.0645953i | \(-0.0205757\pi\) | |||||||
\(758\) | − | 8.06436i | − | 0.292911i | ||||||
\(759\) | −16.0784 | −0.583608 | ||||||||
\(760\) | −93.6097 | − | 64.9078i | −3.39558 | − | 2.35445i | ||||
\(761\) | −44.2390 | −1.60366 | −0.801832 | − | 0.597550i | \(-0.796141\pi\) | ||||
−0.801832 | + | 0.597550i | \(0.796141\pi\) | |||||||
\(762\) | 13.2466i | 0.479873i | ||||||||
\(763\) | 0.713522i | 0.0258312i | ||||||||
\(764\) | 111.743 | 4.04272 | ||||||||
\(765\) | 7.80219 | + | 5.40994i | 0.282089 | + | 0.195597i | ||||
\(766\) | 48.9769 | 1.76961 | ||||||||
\(767\) | − | 13.9977i | − | 0.505426i | ||||||
\(768\) | − | 31.4691i | − | 1.13554i | ||||||
\(769\) | −6.30558 | −0.227385 | −0.113692 | − | 0.993516i | \(-0.536268\pi\) | ||||
−0.113692 | + | 0.993516i | \(0.536268\pi\) | |||||||
\(770\) | 2.82722 | − | 4.07741i | 0.101886 | − | 0.146940i | ||||
\(771\) | 12.3486 | 0.444723 | ||||||||
\(772\) | 99.4897i | 3.58071i | ||||||||
\(773\) | 24.2649i | 0.872747i | 0.899766 | + | 0.436374i | \(0.143737\pi\) | ||||
−0.899766 | + | 0.436374i | \(0.856263\pi\) | |||||||
\(774\) | −19.9277 | −0.716286 | ||||||||
\(775\) | −5.64845 | − | 15.0865i | −0.202898 | − | 0.541924i | ||||
\(776\) | 16.2159 | 0.582118 | ||||||||
\(777\) | − | 0.342858i | − | 0.0123000i | ||||||
\(778\) | 6.44570i | 0.231090i | ||||||||
\(779\) | −85.9111 | −3.07809 | ||||||||
\(780\) | −10.1145 | + | 14.5871i | −0.362159 | + | 0.522303i | ||||
\(781\) | −31.8133 | −1.13837 | ||||||||
\(782\) | 33.8365i | 1.20999i | ||||||||
\(783\) | 1.00000i | 0.0357371i |