Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(64,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.350464.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - 2x^{5} + 2x^{4} + 2x^{3} + 4x^{2} - 4x + 2 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 64.3 | ||
Root | \(1.45161 + 1.45161i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 273.64 |
Dual form | 273.2.c.b.64.4 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 0.311108i | − | 0.219986i | −0.993932 | − | 0.109993i | \(-0.964917\pi\) | ||
0.993932 | − | 0.109993i | \(-0.0350829\pi\) | |||||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | 1.90321 | 0.951606 | ||||||||
\(5\) | 1.52543i | 0.682192i | 0.940028 | + | 0.341096i | \(0.110798\pi\) | ||||
−0.940028 | + | 0.341096i | \(0.889202\pi\) | |||||||
\(6\) | − | 0.311108i | − | 0.127009i | ||||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | − | 1.21432i | − | 0.429327i | ||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0.474572 | 0.150073 | ||||||||
\(11\) | − | 1.09679i | − | 0.330694i | −0.986235 | − | 0.165347i | \(-0.947126\pi\) | ||
0.986235 | − | 0.165347i | \(-0.0528744\pi\) | |||||||
\(12\) | 1.90321 | 0.549410 | ||||||||
\(13\) | −0.311108 | + | 3.59210i | −0.0862858 | + | 0.996270i | ||||
\(14\) | −0.311108 | −0.0831471 | ||||||||
\(15\) | 1.52543i | 0.393864i | ||||||||
\(16\) | 3.42864 | 0.857160 | ||||||||
\(17\) | −4.42864 | −1.07410 | −0.537051 | − | 0.843550i | \(-0.680462\pi\) | ||||
−0.537051 | + | 0.843550i | \(0.680462\pi\) | |||||||
\(18\) | − | 0.311108i | − | 0.0733288i | ||||||
\(19\) | − | 1.80642i | − | 0.414422i | −0.978296 | − | 0.207211i | \(-0.933561\pi\) | ||
0.978296 | − | 0.207211i | \(-0.0664387\pi\) | |||||||
\(20\) | 2.90321i | 0.649178i | ||||||||
\(21\) | − | 1.00000i | − | 0.218218i | ||||||
\(22\) | −0.341219 | −0.0727482 | ||||||||
\(23\) | −3.80642 | −0.793694 | −0.396847 | − | 0.917885i | \(-0.629896\pi\) | ||||
−0.396847 | + | 0.917885i | \(0.629896\pi\) | |||||||
\(24\) | − | 1.21432i | − | 0.247872i | ||||||
\(25\) | 2.67307 | 0.534614 | ||||||||
\(26\) | 1.11753 | + | 0.0967881i | 0.219166 | + | 0.0189817i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | − | 1.90321i | − | 0.359673i | ||||||
\(29\) | −0.755569 | −0.140306 | −0.0701528 | − | 0.997536i | \(-0.522349\pi\) | ||||
−0.0701528 | + | 0.997536i | \(0.522349\pi\) | |||||||
\(30\) | 0.474572 | 0.0866447 | ||||||||
\(31\) | − | 4.85728i | − | 0.872393i | −0.899851 | − | 0.436197i | \(-0.856325\pi\) | ||
0.899851 | − | 0.436197i | \(-0.143675\pi\) | |||||||
\(32\) | − | 3.49532i | − | 0.617890i | ||||||
\(33\) | − | 1.09679i | − | 0.190926i | ||||||
\(34\) | 1.37778i | 0.236288i | ||||||||
\(35\) | 1.52543 | 0.257844 | ||||||||
\(36\) | 1.90321 | 0.317202 | ||||||||
\(37\) | − | 5.80642i | − | 0.954570i | −0.878749 | − | 0.477285i | \(-0.841621\pi\) | ||
0.878749 | − | 0.477285i | \(-0.158379\pi\) | |||||||
\(38\) | −0.561993 | −0.0911672 | ||||||||
\(39\) | −0.311108 | + | 3.59210i | −0.0498171 | + | 0.575197i | ||||
\(40\) | 1.85236 | 0.292883 | ||||||||
\(41\) | 11.3319i | 1.76974i | 0.465840 | + | 0.884869i | \(0.345752\pi\) | ||||
−0.465840 | + | 0.884869i | \(0.654248\pi\) | |||||||
\(42\) | −0.311108 | −0.0480050 | ||||||||
\(43\) | −5.24443 | −0.799768 | −0.399884 | − | 0.916566i | \(-0.630950\pi\) | ||||
−0.399884 | + | 0.916566i | \(0.630950\pi\) | |||||||
\(44\) | − | 2.08742i | − | 0.314690i | ||||||
\(45\) | 1.52543i | 0.227397i | ||||||||
\(46\) | 1.18421i | 0.174602i | ||||||||
\(47\) | − | 2.28100i | − | 0.332718i | −0.986065 | − | 0.166359i | \(-0.946799\pi\) | ||
0.986065 | − | 0.166359i | \(-0.0532010\pi\) | |||||||
\(48\) | 3.42864 | 0.494881 | ||||||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | − | 0.831613i | − | 0.117608i | ||||||
\(51\) | −4.42864 | −0.620134 | ||||||||
\(52\) | −0.592104 | + | 6.83654i | −0.0821101 | + | 0.948057i | ||||
\(53\) | −6.00000 | −0.824163 | −0.412082 | − | 0.911147i | \(-0.635198\pi\) | ||||
−0.412082 | + | 0.911147i | \(0.635198\pi\) | |||||||
\(54\) | − | 0.311108i | − | 0.0423364i | ||||||
\(55\) | 1.67307 | 0.225597 | ||||||||
\(56\) | −1.21432 | −0.162270 | ||||||||
\(57\) | − | 1.80642i | − | 0.239267i | ||||||
\(58\) | 0.235063i | 0.0308653i | ||||||||
\(59\) | − | 0.474572i | − | 0.0617841i | −0.999523 | − | 0.0308920i | \(-0.990165\pi\) | ||
0.999523 | − | 0.0308920i | \(-0.00983480\pi\) | |||||||
\(60\) | 2.90321i | 0.374803i | ||||||||
\(61\) | −13.0923 | −1.67630 | −0.838151 | − | 0.545438i | \(-0.816363\pi\) | ||||
−0.838151 | + | 0.545438i | \(0.816363\pi\) | |||||||
\(62\) | −1.51114 | −0.191915 | ||||||||
\(63\) | − | 1.00000i | − | 0.125988i | ||||||
\(64\) | 5.76986 | 0.721232 | ||||||||
\(65\) | −5.47949 | − | 0.474572i | −0.679648 | − | 0.0588635i | ||||
\(66\) | −0.341219 | −0.0420012 | ||||||||
\(67\) | 9.80642i | 1.19805i | 0.800732 | + | 0.599023i | \(0.204444\pi\) | ||||
−0.800732 | + | 0.599023i | \(0.795556\pi\) | |||||||
\(68\) | −8.42864 | −1.02212 | ||||||||
\(69\) | −3.80642 | −0.458240 | ||||||||
\(70\) | − | 0.474572i | − | 0.0567223i | ||||||
\(71\) | − | 13.0049i | − | 1.54340i | −0.635987 | − | 0.771700i | \(-0.719407\pi\) | ||
0.635987 | − | 0.771700i | \(-0.280593\pi\) | |||||||
\(72\) | − | 1.21432i | − | 0.143109i | ||||||
\(73\) | 3.47949i | 0.407244i | 0.979050 | + | 0.203622i | \(0.0652714\pi\) | ||||
−0.979050 | + | 0.203622i | \(0.934729\pi\) | |||||||
\(74\) | −1.80642 | −0.209993 | ||||||||
\(75\) | 2.67307 | 0.308660 | ||||||||
\(76\) | − | 3.43801i | − | 0.394366i | ||||||
\(77\) | −1.09679 | −0.124991 | ||||||||
\(78\) | 1.11753 | + | 0.0967881i | 0.126536 | + | 0.0109591i | ||||
\(79\) | −5.37778 | −0.605048 | −0.302524 | − | 0.953142i | \(-0.597829\pi\) | ||||
−0.302524 | + | 0.953142i | \(0.597829\pi\) | |||||||
\(80\) | 5.23014i | 0.584748i | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 3.52543 | 0.389318 | ||||||||
\(83\) | 13.8938i | 1.52505i | 0.646960 | + | 0.762524i | \(0.276040\pi\) | ||||
−0.646960 | + | 0.762524i | \(0.723960\pi\) | |||||||
\(84\) | − | 1.90321i | − | 0.207657i | ||||||
\(85\) | − | 6.75557i | − | 0.732744i | ||||||
\(86\) | 1.63158i | 0.175938i | ||||||||
\(87\) | −0.755569 | −0.0810055 | ||||||||
\(88\) | −1.33185 | −0.141976 | ||||||||
\(89\) | − | 13.1383i | − | 1.39265i | −0.717724 | − | 0.696327i | \(-0.754816\pi\) | ||
0.717724 | − | 0.696327i | \(-0.245184\pi\) | |||||||
\(90\) | 0.474572 | 0.0500243 | ||||||||
\(91\) | 3.59210 | + | 0.311108i | 0.376555 | + | 0.0326130i | ||||
\(92\) | −7.24443 | −0.755284 | ||||||||
\(93\) | − | 4.85728i | − | 0.503676i | ||||||
\(94\) | −0.709636 | −0.0731933 | ||||||||
\(95\) | 2.75557 | 0.282715 | ||||||||
\(96\) | − | 3.49532i | − | 0.356739i | ||||||
\(97\) | 4.42864i | 0.449660i | 0.974398 | + | 0.224830i | \(0.0721827\pi\) | ||||
−0.974398 | + | 0.224830i | \(0.927817\pi\) | |||||||
\(98\) | 0.311108i | 0.0314266i | ||||||||
\(99\) | − | 1.09679i | − | 0.110231i | ||||||
\(100\) | 5.08742 | 0.508742 | ||||||||
\(101\) | 9.28592 | 0.923983 | 0.461992 | − | 0.886884i | \(-0.347135\pi\) | ||||
0.461992 | + | 0.886884i | \(0.347135\pi\) | |||||||
\(102\) | 1.37778i | 0.136421i | ||||||||
\(103\) | 0.815792 | 0.0803824 | 0.0401912 | − | 0.999192i | \(-0.487203\pi\) | ||||
0.0401912 | + | 0.999192i | \(0.487203\pi\) | |||||||
\(104\) | 4.36196 | + | 0.377784i | 0.427726 | + | 0.0370448i | ||||
\(105\) | 1.52543 | 0.148866 | ||||||||
\(106\) | 1.86665i | 0.181305i | ||||||||
\(107\) | 6.56199 | 0.634372 | 0.317186 | − | 0.948363i | \(-0.397262\pi\) | ||||
0.317186 | + | 0.948363i | \(0.397262\pi\) | |||||||
\(108\) | 1.90321 | 0.183137 | ||||||||
\(109\) | 12.2953i | 1.17767i | 0.808252 | + | 0.588837i | \(0.200414\pi\) | ||||
−0.808252 | + | 0.588837i | \(0.799586\pi\) | |||||||
\(110\) | − | 0.520505i | − | 0.0496282i | ||||||
\(111\) | − | 5.80642i | − | 0.551121i | ||||||
\(112\) | − | 3.42864i | − | 0.323976i | ||||||
\(113\) | 3.24443 | 0.305210 | 0.152605 | − | 0.988287i | \(-0.451234\pi\) | ||||
0.152605 | + | 0.988287i | \(0.451234\pi\) | |||||||
\(114\) | −0.561993 | −0.0526354 | ||||||||
\(115\) | − | 5.80642i | − | 0.541452i | ||||||
\(116\) | −1.43801 | −0.133516 | ||||||||
\(117\) | −0.311108 | + | 3.59210i | −0.0287619 | + | 0.332090i | ||||
\(118\) | −0.147643 | −0.0135917 | ||||||||
\(119\) | 4.42864i | 0.405973i | ||||||||
\(120\) | 1.85236 | 0.169096 | ||||||||
\(121\) | 9.79706 | 0.890641 | ||||||||
\(122\) | 4.07313i | 0.368764i | ||||||||
\(123\) | 11.3319i | 1.02176i | ||||||||
\(124\) | − | 9.24443i | − | 0.830174i | ||||||
\(125\) | 11.7047i | 1.04690i | ||||||||
\(126\) | −0.311108 | −0.0277157 | ||||||||
\(127\) | 2.62222 | 0.232684 | 0.116342 | − | 0.993209i | \(-0.462883\pi\) | ||||
0.116342 | + | 0.993209i | \(0.462883\pi\) | |||||||
\(128\) | − | 8.78568i | − | 0.776552i | ||||||
\(129\) | −5.24443 | −0.461746 | ||||||||
\(130\) | −0.147643 | + | 1.70471i | −0.0129492 | + | 0.149513i | ||||
\(131\) | 18.3684 | 1.60486 | 0.802428 | − | 0.596749i | \(-0.203541\pi\) | ||||
0.802428 | + | 0.596749i | \(0.203541\pi\) | |||||||
\(132\) | − | 2.08742i | − | 0.181687i | ||||||
\(133\) | −1.80642 | −0.156637 | ||||||||
\(134\) | 3.05086 | 0.263554 | ||||||||
\(135\) | 1.52543i | 0.131288i | ||||||||
\(136\) | 5.37778i | 0.461141i | ||||||||
\(137\) | − | 16.3827i | − | 1.39967i | −0.714305 | − | 0.699835i | \(-0.753257\pi\) | ||
0.714305 | − | 0.699835i | \(-0.246743\pi\) | |||||||
\(138\) | 1.18421i | 0.100806i | ||||||||
\(139\) | 3.18421 | 0.270081 | 0.135041 | − | 0.990840i | \(-0.456884\pi\) | ||||
0.135041 | + | 0.990840i | \(0.456884\pi\) | |||||||
\(140\) | 2.90321 | 0.245366 | ||||||||
\(141\) | − | 2.28100i | − | 0.192095i | ||||||
\(142\) | −4.04593 | −0.339527 | ||||||||
\(143\) | 3.93978 | + | 0.341219i | 0.329461 | + | 0.0285342i | ||||
\(144\) | 3.42864 | 0.285720 | ||||||||
\(145\) | − | 1.15257i | − | 0.0957153i | ||||||
\(146\) | 1.08250 | 0.0895882 | ||||||||
\(147\) | −1.00000 | −0.0824786 | ||||||||
\(148\) | − | 11.0509i | − | 0.908375i | ||||||
\(149\) | − | 16.0874i | − | 1.31793i | −0.752172 | − | 0.658966i | \(-0.770994\pi\) | ||
0.752172 | − | 0.658966i | \(-0.229006\pi\) | |||||||
\(150\) | − | 0.831613i | − | 0.0679009i | ||||||
\(151\) | 1.51114i | 0.122975i | 0.998108 | + | 0.0614873i | \(0.0195844\pi\) | ||||
−0.998108 | + | 0.0614873i | \(0.980416\pi\) | |||||||
\(152\) | −2.19358 | −0.177923 | ||||||||
\(153\) | −4.42864 | −0.358034 | ||||||||
\(154\) | 0.341219i | 0.0274962i | ||||||||
\(155\) | 7.40943 | 0.595140 | ||||||||
\(156\) | −0.592104 | + | 6.83654i | −0.0474063 | + | 0.547361i | ||||
\(157\) | 2.85728 | 0.228036 | 0.114018 | − | 0.993479i | \(-0.463628\pi\) | ||||
0.114018 | + | 0.993479i | \(0.463628\pi\) | |||||||
\(158\) | 1.67307i | 0.133102i | ||||||||
\(159\) | −6.00000 | −0.475831 | ||||||||
\(160\) | 5.33185 | 0.421520 | ||||||||
\(161\) | 3.80642i | 0.299988i | ||||||||
\(162\) | − | 0.311108i | − | 0.0244429i | ||||||
\(163\) | − | 13.8064i | − | 1.08140i | −0.841215 | − | 0.540701i | \(-0.818159\pi\) | ||
0.841215 | − | 0.540701i | \(-0.181841\pi\) | |||||||
\(164\) | 21.5669i | 1.68409i | ||||||||
\(165\) | 1.67307 | 0.130248 | ||||||||
\(166\) | 4.32248 | 0.335490 | ||||||||
\(167\) | − | 0.769859i | − | 0.0595735i | −0.999556 | − | 0.0297867i | \(-0.990517\pi\) | ||
0.999556 | − | 0.0297867i | \(-0.00948281\pi\) | |||||||
\(168\) | −1.21432 | −0.0936868 | ||||||||
\(169\) | −12.8064 | − | 2.23506i | −0.985110 | − | 0.171928i | ||||
\(170\) | −2.10171 | −0.161194 | ||||||||
\(171\) | − | 1.80642i | − | 0.138141i | ||||||
\(172\) | −9.98126 | −0.761064 | ||||||||
\(173\) | 5.67307 | 0.431316 | 0.215658 | − | 0.976469i | \(-0.430810\pi\) | ||||
0.215658 | + | 0.976469i | \(0.430810\pi\) | |||||||
\(174\) | 0.235063i | 0.0178201i | ||||||||
\(175\) | − | 2.67307i | − | 0.202065i | ||||||
\(176\) | − | 3.76049i | − | 0.283458i | ||||||
\(177\) | − | 0.474572i | − | 0.0356710i | ||||||
\(178\) | −4.08742 | −0.306365 | ||||||||
\(179\) | 21.9081 | 1.63749 | 0.818745 | − | 0.574157i | \(-0.194670\pi\) | ||||
0.818745 | + | 0.574157i | \(0.194670\pi\) | |||||||
\(180\) | 2.90321i | 0.216393i | ||||||||
\(181\) | 0.488863 | 0.0363369 | 0.0181684 | − | 0.999835i | \(-0.494216\pi\) | ||||
0.0181684 | + | 0.999835i | \(0.494216\pi\) | |||||||
\(182\) | 0.0967881 | − | 1.11753i | 0.00717441 | − | 0.0828370i | ||||
\(183\) | −13.0923 | −0.967814 | ||||||||
\(184\) | 4.62222i | 0.340754i | ||||||||
\(185\) | 8.85728 | 0.651200 | ||||||||
\(186\) | −1.51114 | −0.110802 | ||||||||
\(187\) | 4.85728i | 0.355199i | ||||||||
\(188\) | − | 4.34122i | − | 0.316616i | ||||||
\(189\) | − | 1.00000i | − | 0.0727393i | ||||||
\(190\) | − | 0.857279i | − | 0.0621936i | ||||||
\(191\) | 25.1338 | 1.81862 | 0.909310 | − | 0.416119i | \(-0.136610\pi\) | ||||
0.909310 | + | 0.416119i | \(0.136610\pi\) | |||||||
\(192\) | 5.76986 | 0.416404 | ||||||||
\(193\) | 6.66370i | 0.479664i | 0.970814 | + | 0.239832i | \(0.0770923\pi\) | ||||
−0.970814 | + | 0.239832i | \(0.922908\pi\) | |||||||
\(194\) | 1.37778 | 0.0989192 | ||||||||
\(195\) | −5.47949 | − | 0.474572i | −0.392395 | − | 0.0339848i | ||||
\(196\) | −1.90321 | −0.135944 | ||||||||
\(197\) | 18.1891i | 1.29592i | 0.761674 | + | 0.647961i | \(0.224378\pi\) | ||||
−0.761674 | + | 0.647961i | \(0.775622\pi\) | |||||||
\(198\) | −0.341219 | −0.0242494 | ||||||||
\(199\) | −14.1017 | −0.999644 | −0.499822 | − | 0.866128i | \(-0.666601\pi\) | ||||
−0.499822 | + | 0.866128i | \(0.666601\pi\) | |||||||
\(200\) | − | 3.24596i | − | 0.229524i | ||||||
\(201\) | 9.80642i | 0.691692i | ||||||||
\(202\) | − | 2.88892i | − | 0.203264i | ||||||
\(203\) | 0.755569i | 0.0530305i | ||||||||
\(204\) | −8.42864 | −0.590123 | ||||||||
\(205\) | −17.2859 | −1.20730 | ||||||||
\(206\) | − | 0.253799i | − | 0.0176830i | ||||||
\(207\) | −3.80642 | −0.264565 | ||||||||
\(208\) | −1.06668 | + | 12.3160i | −0.0739607 | + | 0.853963i | ||||
\(209\) | −1.98126 | −0.137047 | ||||||||
\(210\) | − | 0.474572i | − | 0.0327486i | ||||||
\(211\) | 8.13335 | 0.559923 | 0.279962 | − | 0.960011i | \(-0.409678\pi\) | ||||
0.279962 | + | 0.960011i | \(0.409678\pi\) | |||||||
\(212\) | −11.4193 | −0.784279 | ||||||||
\(213\) | − | 13.0049i | − | 0.891083i | ||||||
\(214\) | − | 2.04149i | − | 0.139553i | ||||||
\(215\) | − | 8.00000i | − | 0.545595i | ||||||
\(216\) | − | 1.21432i | − | 0.0826240i | ||||||
\(217\) | −4.85728 | −0.329734 | ||||||||
\(218\) | 3.82516 | 0.259073 | ||||||||
\(219\) | 3.47949i | 0.235122i | ||||||||
\(220\) | 3.18421 | 0.214679 | ||||||||
\(221\) | 1.37778 | − | 15.9081i | 0.0926798 | − | 1.07010i | ||||
\(222\) | −1.80642 | −0.121239 | ||||||||
\(223\) | 9.53972i | 0.638827i | 0.947615 | + | 0.319413i | \(0.103486\pi\) | ||||
−0.947615 | + | 0.319413i | \(0.896514\pi\) | |||||||
\(224\) | −3.49532 | −0.233541 | ||||||||
\(225\) | 2.67307 | 0.178205 | ||||||||
\(226\) | − | 1.00937i | − | 0.0671422i | ||||||
\(227\) | − | 1.81087i | − | 0.120192i | −0.998193 | − | 0.0600958i | \(-0.980859\pi\) | ||
0.998193 | − | 0.0600958i | \(-0.0191406\pi\) | |||||||
\(228\) | − | 3.43801i | − | 0.227688i | ||||||
\(229\) | 13.9684i | 0.923055i | 0.887126 | + | 0.461528i | \(0.152698\pi\) | ||||
−0.887126 | + | 0.461528i | \(0.847302\pi\) | |||||||
\(230\) | −1.80642 | −0.119112 | ||||||||
\(231\) | −1.09679 | −0.0721634 | ||||||||
\(232\) | 0.917502i | 0.0602370i | ||||||||
\(233\) | −7.51114 | −0.492071 | −0.246035 | − | 0.969261i | \(-0.579128\pi\) | ||||
−0.246035 | + | 0.969261i | \(0.579128\pi\) | |||||||
\(234\) | 1.11753 | + | 0.0967881i | 0.0730553 | + | 0.00632723i | ||||
\(235\) | 3.47949 | 0.226977 | ||||||||
\(236\) | − | 0.903212i | − | 0.0587941i | ||||||
\(237\) | −5.37778 | −0.349325 | ||||||||
\(238\) | 1.37778 | 0.0893085 | ||||||||
\(239\) | 21.9541i | 1.42009i | 0.704156 | + | 0.710045i | \(0.251326\pi\) | ||||
−0.704156 | + | 0.710045i | \(0.748674\pi\) | |||||||
\(240\) | 5.23014i | 0.337604i | ||||||||
\(241\) | − | 25.8479i | − | 1.66501i | −0.554017 | − | 0.832505i | \(-0.686906\pi\) | ||
0.554017 | − | 0.832505i | \(-0.313094\pi\) | |||||||
\(242\) | − | 3.04794i | − | 0.195929i | ||||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −24.9175 | −1.59518 | ||||||||
\(245\) | − | 1.52543i | − | 0.0974560i | ||||||
\(246\) | 3.52543 | 0.224773 | ||||||||
\(247\) | 6.48886 | + | 0.561993i | 0.412876 | + | 0.0357587i | ||||
\(248\) | −5.89829 | −0.374542 | ||||||||
\(249\) | 13.8938i | 0.880487i | ||||||||
\(250\) | 3.64143 | 0.230304 | ||||||||
\(251\) | 23.2257 | 1.46599 | 0.732996 | − | 0.680232i | \(-0.238121\pi\) | ||||
0.732996 | + | 0.680232i | \(0.238121\pi\) | |||||||
\(252\) | − | 1.90321i | − | 0.119891i | ||||||
\(253\) | 4.17484i | 0.262470i | ||||||||
\(254\) | − | 0.815792i | − | 0.0511873i | ||||||
\(255\) | − | 6.75557i | − | 0.423050i | ||||||
\(256\) | 8.80642 | 0.550401 | ||||||||
\(257\) | −27.7748 | −1.73254 | −0.866272 | − | 0.499573i | \(-0.833490\pi\) | ||||
−0.866272 | + | 0.499573i | \(0.833490\pi\) | |||||||
\(258\) | 1.63158i | 0.101578i | ||||||||
\(259\) | −5.80642 | −0.360794 | ||||||||
\(260\) | −10.4286 | − | 0.903212i | −0.646757 | − | 0.0560148i | ||||
\(261\) | −0.755569 | −0.0467685 | ||||||||
\(262\) | − | 5.71456i | − | 0.353047i | ||||||
\(263\) | −6.68244 | −0.412057 | −0.206028 | − | 0.978546i | \(-0.566054\pi\) | ||||
−0.206028 | + | 0.978546i | \(0.566054\pi\) | |||||||
\(264\) | −1.33185 | −0.0819698 | ||||||||
\(265\) | − | 9.15257i | − | 0.562238i | ||||||
\(266\) | 0.561993i | 0.0344580i | ||||||||
\(267\) | − | 13.1383i | − | 0.804049i | ||||||
\(268\) | 18.6637i | 1.14007i | ||||||||
\(269\) | −22.1432 | −1.35009 | −0.675047 | − | 0.737774i | \(-0.735877\pi\) | ||||
−0.675047 | + | 0.737774i | \(0.735877\pi\) | |||||||
\(270\) | 0.474572 | 0.0288816 | ||||||||
\(271\) | 2.19358i | 0.133250i | 0.997778 | + | 0.0666251i | \(0.0212232\pi\) | ||||
−0.997778 | + | 0.0666251i | \(0.978777\pi\) | |||||||
\(272\) | −15.1842 | −0.920678 | ||||||||
\(273\) | 3.59210 | + | 0.311108i | 0.217404 | + | 0.0188291i | ||||
\(274\) | −5.09679 | −0.307908 | ||||||||
\(275\) | − | 2.93179i | − | 0.176794i | ||||||
\(276\) | −7.24443 | −0.436064 | ||||||||
\(277\) | −27.3274 | −1.64194 | −0.820972 | − | 0.570968i | \(-0.806568\pi\) | ||||
−0.820972 | + | 0.570968i | \(0.806568\pi\) | |||||||
\(278\) | − | 0.990632i | − | 0.0594142i | ||||||
\(279\) | − | 4.85728i | − | 0.290798i | ||||||
\(280\) | − | 1.85236i | − | 0.110699i | ||||||
\(281\) | 22.8430i | 1.36270i | 0.731958 | + | 0.681349i | \(0.238606\pi\) | ||||
−0.731958 | + | 0.681349i | \(0.761394\pi\) | |||||||
\(282\) | −0.709636 | −0.0422582 | ||||||||
\(283\) | 21.1240 | 1.25569 | 0.627845 | − | 0.778338i | \(-0.283937\pi\) | ||||
0.627845 | + | 0.778338i | \(0.283937\pi\) | |||||||
\(284\) | − | 24.7511i | − | 1.46871i | ||||||
\(285\) | 2.75557 | 0.163226 | ||||||||
\(286\) | 0.106156 | − | 1.22570i | 0.00627714 | − | 0.0724769i | ||||
\(287\) | 11.3319 | 0.668898 | ||||||||
\(288\) | − | 3.49532i | − | 0.205963i | ||||||
\(289\) | 2.61285 | 0.153697 | ||||||||
\(290\) | −0.358572 | −0.0210561 | ||||||||
\(291\) | 4.42864i | 0.259611i | ||||||||
\(292\) | 6.62222i | 0.387536i | ||||||||
\(293\) | 11.6271i | 0.679265i | 0.940558 | + | 0.339632i | \(0.110303\pi\) | ||||
−0.940558 | + | 0.339632i | \(0.889697\pi\) | |||||||
\(294\) | 0.311108i | 0.0181442i | ||||||||
\(295\) | 0.723926 | 0.0421486 | ||||||||
\(296\) | −7.05086 | −0.409823 | ||||||||
\(297\) | − | 1.09679i | − | 0.0636421i | ||||||
\(298\) | −5.00492 | −0.289927 | ||||||||
\(299\) | 1.18421 | − | 13.6731i | 0.0684845 | − | 0.790734i | ||||
\(300\) | 5.08742 | 0.293722 | ||||||||
\(301\) | 5.24443i | 0.302284i | ||||||||
\(302\) | 0.470127 | 0.0270528 | ||||||||
\(303\) | 9.28592 | 0.533462 | ||||||||
\(304\) | − | 6.19358i | − | 0.355226i | ||||||
\(305\) | − | 19.9714i | − | 1.14356i | ||||||
\(306\) | 1.37778i | 0.0787627i | ||||||||
\(307\) | − | 32.8573i | − | 1.87526i | −0.347629 | − | 0.937632i | \(-0.613013\pi\) | ||
0.347629 | − | 0.937632i | \(-0.386987\pi\) | |||||||
\(308\) | −2.08742 | −0.118942 | ||||||||
\(309\) | 0.815792 | 0.0464088 | ||||||||
\(310\) | − | 2.30513i | − | 0.130923i | ||||||
\(311\) | 18.3684 | 1.04158 | 0.520789 | − | 0.853686i | \(-0.325638\pi\) | ||||
0.520789 | + | 0.853686i | \(0.325638\pi\) | |||||||
\(312\) | 4.36196 | + | 0.377784i | 0.246948 | + | 0.0213878i | ||||
\(313\) | 7.11108 | 0.401942 | 0.200971 | − | 0.979597i | \(-0.435590\pi\) | ||||
0.200971 | + | 0.979597i | \(0.435590\pi\) | |||||||
\(314\) | − | 0.888922i | − | 0.0501648i | ||||||
\(315\) | 1.52543 | 0.0859481 | ||||||||
\(316\) | −10.2351 | −0.575767 | ||||||||
\(317\) | 8.47457i | 0.475979i | 0.971268 | + | 0.237990i | \(0.0764885\pi\) | ||||
−0.971268 | + | 0.237990i | \(0.923512\pi\) | |||||||
\(318\) | 1.86665i | 0.104676i | ||||||||
\(319\) | 0.828699i | 0.0463982i | ||||||||
\(320\) | 8.80150i | 0.492019i | ||||||||
\(321\) | 6.56199 | 0.366255 | ||||||||
\(322\) | 1.18421 | 0.0659933 | ||||||||
\(323\) | 8.00000i | 0.445132i | ||||||||
\(324\) | 1.90321 | 0.105734 | ||||||||
\(325\) | −0.831613 | + | 9.60195i | −0.0461296 | + | 0.532620i | ||||
\(326\) | −4.29529 | −0.237894 | ||||||||
\(327\) | 12.2953i | 0.679931i | ||||||||
\(328\) | 13.7605 | 0.759796 | ||||||||
\(329\) | −2.28100 | −0.125755 | ||||||||
\(330\) | − | 0.520505i | − | 0.0286529i | ||||||
\(331\) | 28.2034i | 1.55020i | 0.631838 | + | 0.775100i | \(0.282301\pi\) | ||||
−0.631838 | + | 0.775100i | \(0.717699\pi\) | |||||||
\(332\) | 26.4429i | 1.45124i | ||||||||
\(333\) | − | 5.80642i | − | 0.318190i | ||||||
\(334\) | −0.239509 | −0.0131054 | ||||||||
\(335\) | −14.9590 | −0.817297 | ||||||||
\(336\) | − | 3.42864i | − | 0.187048i | ||||||
\(337\) | 24.5303 | 1.33625 | 0.668127 | − | 0.744048i | \(-0.267096\pi\) | ||||
0.668127 | + | 0.744048i | \(0.267096\pi\) | |||||||
\(338\) | −0.695346 | + | 3.98418i | −0.0378218 | + | 0.216711i | ||||
\(339\) | 3.24443 | 0.176213 | ||||||||
\(340\) | − | 12.8573i | − | 0.697284i | ||||||
\(341\) | −5.32741 | −0.288495 | ||||||||
\(342\) | −0.561993 | −0.0303891 | ||||||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | 6.36842i | 0.343362i | ||||||||
\(345\) | − | 5.80642i | − | 0.312607i | ||||||
\(346\) | − | 1.76494i | − | 0.0948836i | ||||||
\(347\) | −9.52098 | −0.511113 | −0.255557 | − | 0.966794i | \(-0.582259\pi\) | ||||
−0.255557 | + | 0.966794i | \(0.582259\pi\) | |||||||
\(348\) | −1.43801 | −0.0770853 | ||||||||
\(349\) | − | 9.37778i | − | 0.501981i | −0.967990 | − | 0.250991i | \(-0.919244\pi\) | ||
0.967990 | − | 0.250991i | \(-0.0807563\pi\) | |||||||
\(350\) | −0.831613 | −0.0444516 | ||||||||
\(351\) | −0.311108 | + | 3.59210i | −0.0166057 | + | 0.191732i | ||||
\(352\) | −3.83362 | −0.204333 | ||||||||
\(353\) | − | 11.5067i | − | 0.612439i | −0.951961 | − | 0.306220i | \(-0.900936\pi\) | ||
0.951961 | − | 0.306220i | \(-0.0990642\pi\) | |||||||
\(354\) | −0.147643 | −0.00784715 | ||||||||
\(355\) | 19.8381 | 1.05290 | ||||||||
\(356\) | − | 25.0049i | − | 1.32526i | ||||||
\(357\) | 4.42864i | 0.234388i | ||||||||
\(358\) | − | 6.81579i | − | 0.360226i | ||||||
\(359\) | 15.3733i | 0.811374i | 0.914012 | + | 0.405687i | \(0.132968\pi\) | ||||
−0.914012 | + | 0.405687i | \(0.867032\pi\) | |||||||
\(360\) | 1.85236 | 0.0976278 | ||||||||
\(361\) | 15.7368 | 0.828254 | ||||||||
\(362\) | − | 0.152089i | − | 0.00799362i | ||||||
\(363\) | 9.79706 | 0.514212 | ||||||||
\(364\) | 6.83654 | + | 0.592104i | 0.358332 | + | 0.0310347i | ||||
\(365\) | −5.30772 | −0.277819 | ||||||||
\(366\) | 4.07313i | 0.212906i | ||||||||
\(367\) | −24.8988 | −1.29971 | −0.649853 | − | 0.760060i | \(-0.725169\pi\) | ||||
−0.649853 | + | 0.760060i | \(0.725169\pi\) | |||||||
\(368\) | −13.0509 | −0.680323 | ||||||||
\(369\) | 11.3319i | 0.589913i | ||||||||
\(370\) | − | 2.75557i | − | 0.143255i | ||||||
\(371\) | 6.00000i | 0.311504i | ||||||||
\(372\) | − | 9.24443i | − | 0.479301i | ||||||
\(373\) | 17.1842 | 0.889765 | 0.444882 | − | 0.895589i | \(-0.353246\pi\) | ||||
0.444882 | + | 0.895589i | \(0.353246\pi\) | |||||||
\(374\) | 1.51114 | 0.0781391 | ||||||||
\(375\) | 11.7047i | 0.604429i | ||||||||
\(376\) | −2.76986 | −0.142845 | ||||||||
\(377\) | 0.235063 | − | 2.71408i | 0.0121064 | − | 0.139782i | ||||
\(378\) | −0.311108 | −0.0160017 | ||||||||
\(379\) | 13.1240i | 0.674134i | 0.941481 | + | 0.337067i | \(0.109435\pi\) | ||||
−0.941481 | + | 0.337067i | \(0.890565\pi\) | |||||||
\(380\) | 5.24443 | 0.269034 | ||||||||
\(381\) | 2.62222 | 0.134340 | ||||||||
\(382\) | − | 7.81933i | − | 0.400072i | ||||||
\(383\) | − | 30.7511i | − | 1.57131i | −0.618666 | − | 0.785654i | \(-0.712326\pi\) | ||
0.618666 | − | 0.785654i | \(-0.287674\pi\) | |||||||
\(384\) | − | 8.78568i | − | 0.448342i | ||||||
\(385\) | − | 1.67307i | − | 0.0852676i | ||||||
\(386\) | 2.07313 | 0.105520 | ||||||||
\(387\) | −5.24443 | −0.266589 | ||||||||
\(388\) | 8.42864i | 0.427899i | ||||||||
\(389\) | −14.8573 | −0.753294 | −0.376647 | − | 0.926357i | \(-0.622923\pi\) | ||||
−0.376647 | + | 0.926357i | \(0.622923\pi\) | |||||||
\(390\) | −0.147643 | + | 1.70471i | −0.00747620 | + | 0.0863215i | ||||
\(391\) | 16.8573 | 0.852509 | ||||||||
\(392\) | 1.21432i | 0.0613324i | ||||||||
\(393\) | 18.3684 | 0.926564 | ||||||||
\(394\) | 5.65878 | 0.285085 | ||||||||
\(395\) | − | 8.20342i | − | 0.412759i | ||||||
\(396\) | − | 2.08742i | − | 0.104897i | ||||||
\(397\) | 5.93978i | 0.298109i | 0.988829 | + | 0.149054i | \(0.0476230\pi\) | ||||
−0.988829 | + | 0.149054i | \(0.952377\pi\) | |||||||
\(398\) | 4.38715i | 0.219908i | ||||||||
\(399\) | −1.80642 | −0.0904343 | ||||||||
\(400\) | 9.16500 | 0.458250 | ||||||||
\(401\) | 6.87157i | 0.343150i | 0.985171 | + | 0.171575i | \(0.0548856\pi\) | ||||
−0.985171 | + | 0.171575i | \(0.945114\pi\) | |||||||
\(402\) | 3.05086 | 0.152163 | ||||||||
\(403\) | 17.4479 | + | 1.51114i | 0.869139 | + | 0.0752751i | ||||
\(404\) | 17.6731 | 0.879268 | ||||||||
\(405\) | 1.52543i | 0.0757991i | ||||||||
\(406\) | 0.235063 | 0.0116660 | ||||||||
\(407\) | −6.36842 | −0.315671 | ||||||||
\(408\) | 5.37778i | 0.266240i | ||||||||
\(409\) | − | 31.0005i | − | 1.53287i | −0.642319 | − | 0.766437i | \(-0.722028\pi\) | ||
0.642319 | − | 0.766437i | \(-0.277972\pi\) | |||||||
\(410\) | 5.37778i | 0.265590i | ||||||||
\(411\) | − | 16.3827i | − | 0.808099i | ||||||
\(412\) | 1.55262 | 0.0764923 | ||||||||
\(413\) | −0.474572 | −0.0233522 | ||||||||
\(414\) | 1.18421i | 0.0582007i | ||||||||
\(415\) | −21.1941 | −1.04038 | ||||||||
\(416\) | 12.5555 | + | 1.08742i | 0.615586 | + | 0.0533152i | ||||
\(417\) | 3.18421 | 0.155931 | ||||||||
\(418\) | 0.616387i | 0.0301485i | ||||||||
\(419\) | 5.32741 | 0.260261 | 0.130130 | − | 0.991497i | \(-0.458460\pi\) | ||||
0.130130 | + | 0.991497i | \(0.458460\pi\) | |||||||
\(420\) | 2.90321 | 0.141662 | ||||||||
\(421\) | 11.2257i | 0.547107i | 0.961857 | + | 0.273553i | \(0.0881990\pi\) | ||||
−0.961857 | + | 0.273553i | \(0.911801\pi\) | |||||||
\(422\) | − | 2.53035i | − | 0.123175i | ||||||
\(423\) | − | 2.28100i | − | 0.110906i | ||||||
\(424\) | 7.28592i | 0.353835i | ||||||||
\(425\) | −11.8381 | −0.574231 | ||||||||
\(426\) | −4.04593 | −0.196026 | ||||||||
\(427\) | 13.0923i | 0.633583i | ||||||||
\(428\) | 12.4889 | 0.603672 | ||||||||
\(429\) | 3.93978 | + | 0.341219i | 0.190214 | + | 0.0164742i | ||||
\(430\) | −2.48886 | −0.120024 | ||||||||
\(431\) | − | 15.1985i | − | 0.732086i | −0.930598 | − | 0.366043i | \(-0.880712\pi\) | ||
0.930598 | − | 0.366043i | \(-0.119288\pi\) | |||||||
\(432\) | 3.42864 | 0.164960 | ||||||||
\(433\) | −8.82564 | −0.424133 | −0.212067 | − | 0.977255i | \(-0.568019\pi\) | ||||
−0.212067 | + | 0.977255i | \(0.568019\pi\) | |||||||
\(434\) | 1.51114i | 0.0725369i | ||||||||
\(435\) | − | 1.15257i | − | 0.0552613i | ||||||
\(436\) | 23.4005i | 1.12068i | ||||||||
\(437\) | 6.87601i | 0.328924i | ||||||||
\(438\) | 1.08250 | 0.0517238 | ||||||||
\(439\) | −23.1842 | −1.10652 | −0.553261 | − | 0.833008i | \(-0.686617\pi\) | ||||
−0.553261 | + | 0.833008i | \(0.686617\pi\) | |||||||
\(440\) | − | 2.03164i | − | 0.0968548i | ||||||
\(441\) | −1.00000 | −0.0476190 | ||||||||
\(442\) | −4.94914 | − | 0.428639i | −0.235407 | − | 0.0203883i | ||||
\(443\) | 10.2953 | 0.489144 | 0.244572 | − | 0.969631i | \(-0.421353\pi\) | ||||
0.244572 | + | 0.969631i | \(0.421353\pi\) | |||||||
\(444\) | − | 11.0509i | − | 0.524450i | ||||||
\(445\) | 20.0415 | 0.950058 | ||||||||
\(446\) | 2.96788 | 0.140533 | ||||||||
\(447\) | − | 16.0874i | − | 0.760909i | ||||||
\(448\) | − | 5.76986i | − | 0.272600i | ||||||
\(449\) | 35.6084i | 1.68046i | 0.542227 | + | 0.840232i | \(0.317581\pi\) | ||||
−0.542227 | + | 0.840232i | \(0.682419\pi\) | |||||||
\(450\) | − | 0.831613i | − | 0.0392026i | ||||||
\(451\) | 12.4286 | 0.585242 | ||||||||
\(452\) | 6.17484 | 0.290440 | ||||||||
\(453\) | 1.51114i | 0.0709994i | ||||||||
\(454\) | −0.563376 | −0.0264405 | ||||||||
\(455\) | −0.474572 | + | 5.47949i | −0.0222483 | + | 0.256883i | ||||
\(456\) | −2.19358 | −0.102724 | ||||||||
\(457\) | 27.2543i | 1.27490i | 0.770491 | + | 0.637451i | \(0.220011\pi\) | ||||
−0.770491 | + | 0.637451i | \(0.779989\pi\) | |||||||
\(458\) | 4.34567 | 0.203060 | ||||||||
\(459\) | −4.42864 | −0.206711 | ||||||||
\(460\) | − | 11.0509i | − | 0.515249i | ||||||
\(461\) | − | 28.7797i | − | 1.34040i | −0.742179 | − | 0.670202i | \(-0.766207\pi\) | ||
0.742179 | − | 0.670202i | \(-0.233793\pi\) | |||||||
\(462\) | 0.341219i | 0.0158750i | ||||||||
\(463\) | − | 29.4193i | − | 1.36723i | −0.729843 | − | 0.683615i | \(-0.760407\pi\) | ||
0.729843 | − | 0.683615i | \(-0.239593\pi\) | |||||||
\(464\) | −2.59057 | −0.120264 | ||||||||
\(465\) | 7.40943 | 0.343604 | ||||||||
\(466\) | 2.33677i | 0.108249i | ||||||||
\(467\) | −7.14272 | −0.330526 | −0.165263 | − | 0.986250i | \(-0.552847\pi\) | ||||
−0.165263 | + | 0.986250i | \(0.552847\pi\) | |||||||
\(468\) | −0.592104 | + | 6.83654i | −0.0273700 | + | 0.316019i | ||||
\(469\) | 9.80642 | 0.452819 | ||||||||
\(470\) | − | 1.08250i | − | 0.0499319i | ||||||
\(471\) | 2.85728 | 0.131656 | ||||||||
\(472\) | −0.576283 | −0.0265256 | ||||||||
\(473\) | 5.75203i | 0.264479i | ||||||||
\(474\) | 1.67307i | 0.0768467i | ||||||||
\(475\) | − | 4.82870i | − | 0.221556i | ||||||
\(476\) | 8.42864i | 0.386326i | ||||||||
\(477\) | −6.00000 | −0.274721 | ||||||||
\(478\) | 6.83008 | 0.312401 | ||||||||
\(479\) | − | 16.5575i | − | 0.756534i | −0.925697 | − | 0.378267i | \(-0.876520\pi\) | ||
0.925697 | − | 0.378267i | \(-0.123480\pi\) | |||||||
\(480\) | 5.33185 | 0.243365 | ||||||||
\(481\) | 20.8573 | + | 1.80642i | 0.951010 | + | 0.0823658i | ||||
\(482\) | −8.04149 | −0.366280 | ||||||||
\(483\) | 3.80642i | 0.173198i | ||||||||
\(484\) | 18.6459 | 0.847540 | ||||||||
\(485\) | −6.75557 | −0.306755 | ||||||||
\(486\) | − | 0.311108i | − | 0.0141121i | ||||||
\(487\) | 21.7146i | 0.983981i | 0.870601 | + | 0.491990i | \(0.163730\pi\) | ||||
−0.870601 | + | 0.491990i | \(0.836270\pi\) | |||||||
\(488\) | 15.8983i | 0.719682i | ||||||||
\(489\) | − | 13.8064i | − | 0.624348i | ||||||
\(490\) | −0.474572 | −0.0214390 | ||||||||
\(491\) | 26.1748 | 1.18125 | 0.590627 | − | 0.806945i | \(-0.298880\pi\) | ||||
0.590627 | + | 0.806945i | \(0.298880\pi\) | |||||||
\(492\) | 21.5669i | 0.972312i | ||||||||
\(493\) | 3.34614 | 0.150703 | ||||||||
\(494\) | 0.174840 | − | 2.01874i | 0.00786644 | − | 0.0908272i | ||||
\(495\) | 1.67307 | 0.0751989 | ||||||||
\(496\) | − | 16.6539i | − | 0.747780i | ||||||
\(497\) | −13.0049 | −0.583350 | ||||||||
\(498\) | 4.32248 | 0.193695 | ||||||||
\(499\) | − | 24.9403i | − | 1.11648i | −0.829680 | − | 0.558240i | \(-0.811477\pi\) | ||
0.829680 | − | 0.558240i | \(-0.188523\pi\) | |||||||
\(500\) | 22.2766i | 0.996238i | ||||||||
\(501\) | − | 0.769859i | − | 0.0343948i | ||||||
\(502\) | − | 7.22570i | − | 0.322499i | ||||||
\(503\) | −14.6351 | −0.652548 | −0.326274 | − | 0.945275i | \(-0.605793\pi\) | ||||
−0.326274 | + | 0.945275i | \(0.605793\pi\) | |||||||
\(504\) | −1.21432 | −0.0540901 | ||||||||
\(505\) | 14.1650i | 0.630334i | ||||||||
\(506\) | 1.29883 | 0.0577398 | ||||||||
\(507\) | −12.8064 | − | 2.23506i | −0.568753 | − | 0.0992626i | ||||
\(508\) | 4.99063 | 0.221423 | ||||||||
\(509\) | − | 7.59856i | − | 0.336800i | −0.985719 | − | 0.168400i | \(-0.946140\pi\) | ||
0.985719 | − | 0.168400i | \(-0.0538600\pi\) | |||||||
\(510\) | −2.10171 | −0.0930653 | ||||||||
\(511\) | 3.47949 | 0.153924 | ||||||||
\(512\) | − | 20.3111i | − | 0.897633i | ||||||
\(513\) | − | 1.80642i | − | 0.0797556i | ||||||
\(514\) | 8.64095i | 0.381136i | ||||||||
\(515\) | 1.24443i | 0.0548362i | ||||||||
\(516\) | −9.98126 | −0.439401 | ||||||||
\(517\) | −2.50177 | −0.110028 | ||||||||
\(518\) | 1.80642i | 0.0793697i | ||||||||
\(519\) | 5.67307 | 0.249020 | ||||||||
\(520\) | −0.576283 | + | 6.65386i | −0.0252717 | + | 0.291791i | ||||
\(521\) | −25.7560 | −1.12839 | −0.564196 | − | 0.825641i | \(-0.690814\pi\) | ||||
−0.564196 | + | 0.825641i | \(0.690814\pi\) | |||||||
\(522\) | 0.235063i | 0.0102884i | ||||||||
\(523\) | −19.5081 | −0.853029 | −0.426514 | − | 0.904481i | \(-0.640259\pi\) | ||||
−0.426514 | + | 0.904481i | \(0.640259\pi\) | |||||||
\(524\) | 34.9590 | 1.52719 | ||||||||
\(525\) | − | 2.67307i | − | 0.116662i | ||||||
\(526\) | 2.07896i | 0.0906469i | ||||||||
\(527\) | 21.5111i | 0.937040i | ||||||||
\(528\) | − | 3.76049i | − | 0.163654i | ||||||
\(529\) | −8.51114 | −0.370049 | ||||||||
\(530\) | −2.84743 | −0.123685 | ||||||||
\(531\) | − | 0.474572i | − | 0.0205947i | ||||||
\(532\) | −3.43801 | −0.149057 | ||||||||
\(533\) | −40.7052 | − | 3.52543i | −1.76314 | − | 0.152703i | ||||
\(534\) | −4.08742 | −0.176880 | ||||||||
\(535\) | 10.0098i | 0.432763i | ||||||||
\(536\) | 11.9081 | 0.514353 | ||||||||
\(537\) | 21.9081 | 0.945406 | ||||||||
\(538\) | 6.88892i | 0.297003i | ||||||||
\(539\) | 1.09679i | 0.0472420i | ||||||||
\(540\) | 2.90321i | 0.124934i | ||||||||
\(541\) | − | 43.8163i | − | 1.88381i | −0.335881 | − | 0.941904i | \(-0.609034\pi\) | ||
0.335881 | − | 0.941904i | \(-0.390966\pi\) | |||||||
\(542\) | 0.682439 | 0.0293133 | ||||||||
\(543\) | 0.488863 | 0.0209791 | ||||||||
\(544\) | 15.4795i | 0.663678i | ||||||||
\(545\) | −18.7556 | −0.803400 | ||||||||
\(546\) | 0.0967881 | − | 1.11753i | 0.00414215 | − | 0.0478259i | ||||
\(547\) | −43.2257 | −1.84820 | −0.924099 | − | 0.382154i | \(-0.875182\pi\) | ||||
−0.924099 | + | 0.382154i | \(0.875182\pi\) | |||||||
\(548\) | − | 31.1798i | − | 1.33193i | ||||||
\(549\) | −13.0923 | −0.558768 | ||||||||
\(550\) | −0.912103 | −0.0388922 | ||||||||
\(551\) | 1.36488i | 0.0581457i | ||||||||
\(552\) | 4.62222i | 0.196735i | ||||||||
\(553\) | 5.37778i | 0.228687i | ||||||||
\(554\) | 8.50177i | 0.361206i | ||||||||
\(555\) | 8.85728 | 0.375971 | ||||||||
\(556\) | 6.06022 | 0.257011 | ||||||||
\(557\) | − | 11.5254i | − | 0.488348i | −0.969731 | − | 0.244174i | \(-0.921483\pi\) | ||
0.969731 | − | 0.244174i | \(-0.0785168\pi\) | |||||||
\(558\) | −1.51114 | −0.0639715 | ||||||||
\(559\) | 1.63158 | − | 18.8385i | 0.0690086 | − | 0.796785i | ||||
\(560\) | 5.23014 | 0.221014 | ||||||||
\(561\) | 4.85728i | 0.205074i | ||||||||
\(562\) | 7.10663 | 0.299775 | ||||||||
\(563\) | −44.2034 | −1.86295 | −0.931476 | − | 0.363803i | \(-0.881478\pi\) | ||||
−0.931476 | + | 0.363803i | \(0.881478\pi\) | |||||||
\(564\) | − | 4.34122i | − | 0.182798i | ||||||
\(565\) | 4.94914i | 0.208212i | ||||||||
\(566\) | − | 6.57184i | − | 0.276235i | ||||||
\(567\) | − | 1.00000i | − | 0.0419961i | ||||||
\(568\) | −15.7921 | −0.662623 | ||||||||
\(569\) | −33.4924 | −1.40407 | −0.702037 | − | 0.712140i | \(-0.747726\pi\) | ||||
−0.702037 | + | 0.712140i | \(0.747726\pi\) | |||||||
\(570\) | − | 0.857279i | − | 0.0359075i | ||||||
\(571\) | 2.23506 | 0.0935345 | 0.0467672 | − | 0.998906i | \(-0.485108\pi\) | ||||
0.0467672 | + | 0.998906i | \(0.485108\pi\) | |||||||
\(572\) | 7.49823 | + | 0.649413i | 0.313517 | + | 0.0271533i | ||||
\(573\) | 25.1338 | 1.04998 | ||||||||
\(574\) | − | 3.52543i | − | 0.147149i | ||||||
\(575\) | −10.1748 | −0.424320 | ||||||||
\(576\) | 5.76986 | 0.240411 | ||||||||
\(577\) | 20.0415i | 0.834338i | 0.908829 | + | 0.417169i | \(0.136978\pi\) | ||||
−0.908829 | + | 0.417169i | \(0.863022\pi\) | |||||||
\(578\) | − | 0.812877i | − | 0.0338112i | ||||||
\(579\) | 6.66370i | 0.276934i | ||||||||
\(580\) | − | 2.19358i | − | 0.0910833i | ||||||
\(581\) | 13.8938 | 0.576414 | ||||||||
\(582\) | 1.37778 | 0.0571110 | ||||||||
\(583\) | 6.58073i | 0.272546i | ||||||||
\(584\) | 4.22522 | 0.174841 | ||||||||
\(585\) | −5.47949 | − | 0.474572i | −0.226549 | − | 0.0196212i | ||||
\(586\) | 3.61729 | 0.149429 | ||||||||
\(587\) | − | 14.1891i | − | 0.585648i | −0.956166 | − | 0.292824i | \(-0.905405\pi\) | ||
0.956166 | − | 0.292824i | \(-0.0945950\pi\) | |||||||
\(588\) | −1.90321 | −0.0784871 | ||||||||
\(589\) | −8.77430 | −0.361539 | ||||||||
\(590\) | − | 0.225219i | − | 0.00927212i | ||||||
\(591\) | 18.1891i | 0.748201i | ||||||||
\(592\) | − | 19.9081i | − | 0.818219i | ||||||
\(593\) | 20.6593i | 0.848374i | 0.905575 | + | 0.424187i | \(0.139440\pi\) | ||||
−0.905575 | + | 0.424187i | \(0.860560\pi\) | |||||||
\(594\) | −0.341219 | −0.0140004 | ||||||||
\(595\) | −6.75557 | −0.276951 | ||||||||
\(596\) | − | 30.6178i | − | 1.25415i | ||||||
\(597\) | −14.1017 | −0.577145 | ||||||||
\(598\) | −4.25380 | − | 0.368416i | −0.173951 | − | 0.0150657i | ||||
\(599\) | −36.1561 | −1.47730 | −0.738649 | − | 0.674090i | \(-0.764536\pi\) | ||||
−0.738649 | + | 0.674090i | \(0.764536\pi\) | |||||||
\(600\) | − | 3.24596i | − | 0.132516i | ||||||
\(601\) | −45.6829 | −1.86344 | −0.931722 | − | 0.363171i | \(-0.881694\pi\) | ||||
−0.931722 | + | 0.363171i | \(0.881694\pi\) | |||||||
\(602\) | 1.63158 | 0.0664984 | ||||||||
\(603\) | 9.80642i | 0.399348i | ||||||||
\(604\) | 2.87601i | 0.117023i | ||||||||
\(605\) | 14.9447i | 0.607588i | ||||||||
\(606\) | − | 2.88892i | − | 0.117354i | ||||||
\(607\) | −11.8381 | −0.480492 | −0.240246 | − | 0.970712i | \(-0.577228\pi\) | ||||
−0.240246 | + | 0.970712i | \(0.577228\pi\) | |||||||
\(608\) | −6.31402 | −0.256067 | ||||||||
\(609\) | 0.755569i | 0.0306172i | ||||||||
\(610\) | −6.21326 | −0.251568 | ||||||||
\(611\) | 8.19358 | + | 0.709636i | 0.331477 | + | 0.0287088i | ||||
\(612\) | −8.42864 | −0.340708 | ||||||||
\(613\) | − | 14.9590i | − | 0.604188i | −0.953278 | − | 0.302094i | \(-0.902314\pi\) | ||
0.953278 | − | 0.302094i | \(-0.0976856\pi\) | |||||||
\(614\) | −10.2222 | −0.412533 | ||||||||
\(615\) | −17.2859 | −0.697036 | ||||||||
\(616\) | 1.33185i | 0.0536618i | ||||||||
\(617\) | − | 2.49331i | − | 0.100377i | −0.998740 | − | 0.0501884i | \(-0.984018\pi\) | ||
0.998740 | − | 0.0501884i | \(-0.0159822\pi\) | |||||||
\(618\) | − | 0.253799i | − | 0.0102093i | ||||||
\(619\) | − | 25.1526i | − | 1.01097i | −0.862836 | − | 0.505483i | \(-0.831314\pi\) | ||
0.862836 | − | 0.505483i | \(-0.168686\pi\) | |||||||
\(620\) | 14.1017 | 0.566338 | ||||||||
\(621\) | −3.80642 | −0.152747 | ||||||||
\(622\) | − | 5.71456i | − | 0.229133i | ||||||
\(623\) | −13.1383 | −0.526374 | ||||||||
\(624\) | −1.06668 | + | 12.3160i | −0.0427012 | + | 0.493036i | ||||
\(625\) | −4.48934 | −0.179574 | ||||||||
\(626\) | − | 2.21231i | − | 0.0884218i | ||||||
\(627\) | −1.98126 | −0.0791241 | ||||||||
\(628\) | 5.43801 | 0.217000 | ||||||||
\(629\) | 25.7146i | 1.02531i | ||||||||
\(630\) | − | 0.474572i | − | 0.0189074i | ||||||
\(631\) | 40.1116i | 1.59682i | 0.602117 | + | 0.798408i | \(0.294324\pi\) | ||||
−0.602117 | + | 0.798408i | \(0.705676\pi\) | |||||||
\(632\) | 6.53035i | 0.259763i | ||||||||
\(633\) | 8.13335 | 0.323272 | ||||||||
\(634\) | 2.63651 | 0.104709 | ||||||||
\(635\) | 4.00000i | 0.158735i | ||||||||
\(636\) | −11.4193 | −0.452804 | ||||||||
\(637\) | 0.311108 | − | 3.59210i | 0.0123265 | − | 0.142324i | ||||
\(638\) | 0.257815 | 0.0102070 | ||||||||
\(639\) | − | 13.0049i | − | 0.514467i | ||||||
\(640\) | 13.4019 | 0.529757 | ||||||||
\(641\) | 35.5308 | 1.40338 | 0.701692 | − | 0.712481i | \(-0.252428\pi\) | ||||
0.701692 | + | 0.712481i | \(0.252428\pi\) | |||||||
\(642\) | − | 2.04149i | − | 0.0805711i | ||||||
\(643\) | 13.2444i | 0.522309i | 0.965297 | + | 0.261155i | \(0.0841033\pi\) | ||||
−0.965297 | + | 0.261155i | \(0.915897\pi\) | |||||||
\(644\) | 7.24443i | 0.285471i | ||||||||
\(645\) | − | 8.00000i | − | 0.315000i | ||||||
\(646\) | 2.48886 | 0.0979230 | ||||||||
\(647\) | 0.120446 | 0.00473523 | 0.00236761 | − | 0.999997i | \(-0.499246\pi\) | ||||
0.00236761 | + | 0.999997i | \(0.499246\pi\) | |||||||
\(648\) | − | 1.21432i | − | 0.0477030i | ||||||
\(649\) | −0.520505 | −0.0204316 | ||||||||
\(650\) | 2.98724 | + | 0.258721i | 0.117169 | + | 0.0101479i | ||||
\(651\) | −4.85728 | −0.190372 | ||||||||
\(652\) | − | 26.2766i | − | 1.02907i | ||||||
\(653\) | −15.7146 | −0.614958 | −0.307479 | − | 0.951555i | \(-0.599485\pi\) | ||||
−0.307479 | + | 0.951555i | \(0.599485\pi\) | |||||||
\(654\) | 3.82516 | 0.149576 | ||||||||
\(655\) | 28.0197i | 1.09482i | ||||||||
\(656\) | 38.8528i | 1.51695i | ||||||||
\(657\) | 3.47949i | 0.135748i | ||||||||
\(658\) | 0.709636i | 0.0276645i | ||||||||
\(659\) | 14.1748 | 0.552173 | 0.276087 | − | 0.961133i | \(-0.410962\pi\) | ||||
0.276087 | + | 0.961133i | \(0.410962\pi\) | |||||||
\(660\) | 3.18421 | 0.123945 | ||||||||
\(661\) | 7.21279i | 0.280545i | 0.990113 | + | 0.140272i | \(0.0447979\pi\) | ||||
−0.990113 | + | 0.140272i | \(0.955202\pi\) | |||||||
\(662\) | 8.77430 | 0.341023 | ||||||||
\(663\) | 1.37778 | − | 15.9081i | 0.0535087 | − | 0.617821i | ||||
\(664\) | 16.8716 | 0.654744 | ||||||||
\(665\) | − | 2.75557i | − | 0.106856i | ||||||
\(666\) | −1.80642 | −0.0699975 | ||||||||
\(667\) | 2.87601 | 0.111360 | ||||||||
\(668\) | − | 1.46520i | − | 0.0566905i | ||||||
\(669\) | 9.53972i | 0.368827i | ||||||||
\(670\) | 4.65386i | 0.179794i | ||||||||
\(671\) | 14.3595i | 0.554343i | ||||||||
\(672\) | −3.49532 | −0.134835 | ||||||||
\(673\) | 39.3274 | 1.51596 | 0.757980 | − | 0.652278i | \(-0.226186\pi\) | ||||
0.757980 | + | 0.652278i | \(0.226186\pi\) | |||||||
\(674\) | − | 7.63158i | − | 0.293958i | ||||||
\(675\) | 2.67307 | 0.102887 | ||||||||
\(676\) | −24.3733 | − | 4.25380i | −0.937436 | − | 0.163608i | ||||
\(677\) | 27.2672 | 1.04796 | 0.523981 | − | 0.851730i | \(-0.324446\pi\) | ||||
0.523981 | + | 0.851730i | \(0.324446\pi\) | |||||||
\(678\) | − | 1.00937i | − | 0.0387645i | ||||||
\(679\) | 4.42864 | 0.169956 | ||||||||
\(680\) | −8.20342 | −0.314587 | ||||||||
\(681\) | − | 1.81087i | − | 0.0693927i | ||||||
\(682\) | 1.65740i | 0.0634650i | ||||||||
\(683\) | 16.6811i | 0.638283i | 0.947707 | + | 0.319141i | \(0.103394\pi\) | ||||
−0.947707 | + | 0.319141i | \(0.896606\pi\) | |||||||
\(684\) | − | 3.43801i | − | 0.131455i | ||||||
\(685\) | 24.9906 | 0.954843 | ||||||||
\(686\) | 0.311108 | 0.0118782 | ||||||||
\(687\) | 13.9684i | 0.532926i | ||||||||
\(688\) | −17.9813 | −0.685529 | ||||||||
\(689\) | 1.86665 | − | 21.5526i | 0.0711136 | − | 0.821090i | ||||
\(690\) | −1.80642 | −0.0687694 | ||||||||
\(691\) | − | 15.2543i | − | 0.580300i | −0.956981 | − | 0.290150i | \(-0.906295\pi\) | ||
0.956981 | − | 0.290150i | \(-0.0937052\pi\) | |||||||
\(692\) | 10.7971 | 0.410442 | ||||||||
\(693\) | −1.09679 | −0.0416635 | ||||||||
\(694\) | 2.96205i | 0.112438i | ||||||||
\(695\) | 4.85728i | 0.184247i | ||||||||
\(696\) | 0.917502i | 0.0347778i | ||||||||
\(697\) | − | 50.1847i | − | 1.90088i | ||||||
\(698\) | −2.91750 | −0.110429 | ||||||||
\(699\) | −7.51114 | −0.284097 | ||||||||
\(700\) | − | 5.08742i | − | 0.192286i | ||||||
\(701\) | 34.5906 | 1.30647 | 0.653234 | − | 0.757156i | \(-0.273412\pi\) | ||||
0.653234 | + | 0.757156i | \(0.273412\pi\) | |||||||
\(702\) | 1.11753 | + | 0.0967881i | 0.0421785 | + | 0.00365303i | ||||
\(703\) | −10.4889 | −0.395595 | ||||||||
\(704\) | − | 6.32831i | − | 0.238507i | ||||||
\(705\) | 3.47949 | 0.131045 | ||||||||
\(706\) | −3.57982 | −0.134728 | ||||||||
\(707\) | − | 9.28592i | − | 0.349233i | ||||||
\(708\) | − | 0.903212i | − | 0.0339448i | ||||||
\(709\) | − | 14.5433i | − | 0.546183i | −0.961988 | − | 0.273092i | \(-0.911954\pi\) | ||
0.961988 | − | 0.273092i | \(-0.0880463\pi\) | |||||||
\(710\) | − | 6.17178i | − | 0.231623i | ||||||
\(711\) | −5.37778 | −0.201683 | ||||||||
\(712\) | −15.9541 | −0.597904 | ||||||||
\(713\) | 18.4889i | 0.692413i | ||||||||
\(714\) | 1.37778 | 0.0515623 | ||||||||
\(715\) | −0.520505 | + | 6.00984i | −0.0194658 | + | 0.224755i | ||||
\(716\) | 41.6958 | 1.55825 | ||||||||
\(717\) | 21.9541i | 0.819890i | ||||||||
\(718\) | 4.78277 | 0.178491 | ||||||||
\(719\) | −3.34614 | −0.124790 | −0.0623950 | − | 0.998052i | \(-0.519874\pi\) | ||||
−0.0623950 | + | 0.998052i | \(0.519874\pi\) | |||||||
\(720\) | 5.23014i | 0.194916i | ||||||||
\(721\) | − | 0.815792i | − | 0.0303817i | ||||||
\(722\) | − | 4.89585i | − | 0.182205i | ||||||
\(723\) | − | 25.8479i | − | 0.961294i | ||||||
\(724\) | 0.930409 | 0.0345784 | ||||||||
\(725\) | −2.01969 | −0.0750094 | ||||||||
\(726\) | − | 3.04794i | − | 0.113120i | ||||||
\(727\) | −23.2257 | −0.861393 | −0.430697 | − | 0.902497i | \(-0.641732\pi\) | ||||
−0.430697 | + | 0.902497i | \(0.641732\pi\) | |||||||
\(728\) | 0.377784 | − | 4.36196i | 0.0140016 | − | 0.161665i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 1.65127i | 0.0611163i | ||||||||
\(731\) | 23.2257 | 0.859033 | ||||||||
\(732\) | −24.9175 | −0.920977 | ||||||||
\(733\) | 10.8889i | 0.402192i | 0.979572 | + | 0.201096i | \(0.0644502\pi\) | ||||
−0.979572 | + | 0.201096i | \(0.935550\pi\) | |||||||
\(734\) | 7.74620i | 0.285917i | ||||||||
\(735\) | − | 1.52543i | − | 0.0562662i | ||||||
\(736\) | 13.3047i | 0.490416i | ||||||||
\(737\) | 10.7556 | 0.396186 | ||||||||
\(738\) | 3.52543 | 0.129773 | ||||||||
\(739\) | 33.8064i | 1.24359i | 0.783180 | + | 0.621795i | \(0.213596\pi\) | ||||
−0.783180 | + | 0.621795i | \(0.786404\pi\) | |||||||
\(740\) | 16.8573 | 0.619686 | ||||||||
\(741\) | 6.48886 | + | 0.561993i | 0.238374 | + | 0.0206453i | ||||
\(742\) | 1.86665 | 0.0685268 | ||||||||
\(743\) | − | 46.5990i | − | 1.70955i | −0.518996 | − | 0.854776i | \(-0.673694\pi\) | ||
0.518996 | − | 0.854776i | \(-0.326306\pi\) | |||||||
\(744\) | −5.89829 | −0.216242 | ||||||||
\(745\) | 24.5402 | 0.899083 | ||||||||
\(746\) | − | 5.34614i | − | 0.195736i | ||||||
\(747\) | 13.8938i | 0.508349i | ||||||||
\(748\) | 9.24443i | 0.338010i | ||||||||
\(749\) | − | 6.56199i | − | 0.239770i | ||||||
\(750\) | 3.64143 | 0.132966 | ||||||||
\(751\) | −17.2444 | −0.629258 | −0.314629 | − | 0.949215i | \(-0.601880\pi\) | ||||
−0.314629 | + | 0.949215i | \(0.601880\pi\) | |||||||
\(752\) | − | 7.82071i | − | 0.285192i | ||||||
\(753\) | 23.2257 | 0.846391 | ||||||||
\(754\) | −0.844372 | − | 0.0731300i | −0.0307502 | − | 0.00266324i | ||||
\(755\) | −2.30513 | −0.0838923 | ||||||||
\(756\) | − | 1.90321i | − | 0.0692191i | ||||||
\(757\) | 19.8193 | 0.720346 | 0.360173 | − | 0.932886i | \(-0.382718\pi\) | ||||
0.360173 | + | 0.932886i | \(0.382718\pi\) | |||||||
\(758\) | 4.08297 | 0.148300 | ||||||||
\(759\) | 4.17484i | 0.151537i | ||||||||
\(760\) | − | 3.34614i | − | 0.121377i | ||||||
\(761\) | 24.2810i | 0.880185i | 0.897952 | + | 0.440093i | \(0.145054\pi\) | ||||
−0.897952 | + | 0.440093i | \(0.854946\pi\) | |||||||
\(762\) | − | 0.815792i | − | 0.0295530i | ||||||
\(763\) | 12.2953 | 0.445119 | ||||||||
\(764\) | 47.8350 | 1.73061 | ||||||||
\(765\) | − | 6.75557i | − | 0.244248i | ||||||
\(766\) | −9.56691 | −0.345667 | ||||||||
\(767\) | 1.70471 | + | 0.147643i | 0.0615536 | + | 0.00533109i | ||||
\(768\) | 8.80642 | 0.317774 | ||||||||
\(769\) | 8.78721i | 0.316875i | 0.987369 | + | 0.158437i | \(0.0506456\pi\) | ||||
−0.987369 | + | 0.158437i | \(0.949354\pi\) | |||||||
\(770\) | −0.520505 | −0.0187577 | ||||||||
\(771\) | −27.7748 | −1.00028 | ||||||||
\(772\) | 12.6824i | 0.456451i | ||||||||
\(773\) | − | 43.6271i | − | 1.56916i | −0.620028 | − | 0.784580i | \(-0.712879\pi\) | ||
0.620028 | − | 0.784580i | \(-0.287121\pi\) | |||||||
\(774\) | 1.63158i | 0.0586461i | ||||||||
\(775\) | − | 12.9839i | − | 0.466394i | ||||||
\(776\) | 5.37778 | 0.193051 | ||||||||
\(777\) | −5.80642 | −0.208304 | ||||||||
\(778\) | 4.62222i | 0.165714i | ||||||||
\(779\) | 20.4701 | 0.733418 | ||||||||
\(780\) | −10.4286 | − | 0.903212i | −0.373405 | − | 0.0323402i | ||||
\(781\) | −14.2636 | −0.510393 | ||||||||
\(782\) | − | 5.24443i | − | 0.187540i | ||||||
\(783\) | −0.755569 | −0.0270018 | ||||||||
\(784\) | −3.42864 | −0.122451 | ||||||||
\(785\) | 4.35857i | 0.155564i | ||||||||
\(786\) | − | 5.71456i |