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 | 64.2 | ||
Root | \(0.403032 - 0.403032i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 273.64 |
Dual form | 273.2.c.b.64.5 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.48119i | − | 1.04736i | −0.851914 | − | 0.523681i | \(-0.824558\pi\) | ||
0.851914 | − | 0.523681i | \(-0.175442\pi\) | |||||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | −0.193937 | −0.0969683 | ||||||||
\(5\) | 4.15633i | 1.85877i | 0.369118 | + | 0.929383i | \(0.379660\pi\) | ||||
−0.369118 | + | 0.929383i | \(0.620340\pi\) | |||||||
\(6\) | − | 1.48119i | − | 0.604695i | ||||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | − | 2.67513i | − | 0.945802i | ||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 6.15633 | 1.94680 | ||||||||
\(11\) | 3.19394i | 0.963008i | 0.876444 | + | 0.481504i | \(0.159909\pi\) | ||||
−0.876444 | + | 0.481504i | \(0.840091\pi\) | |||||||
\(12\) | −0.193937 | −0.0559847 | ||||||||
\(13\) | 1.48119 | − | 3.28726i | 0.410809 | − | 0.911721i | ||||
\(14\) | 1.48119 | 0.395866 | ||||||||
\(15\) | 4.15633i | 1.07316i | ||||||||
\(16\) | −4.35026 | −1.08757 | ||||||||
\(17\) | 3.35026 | 0.812558 | 0.406279 | − | 0.913749i | \(-0.366826\pi\) | ||||
0.406279 | + | 0.913749i | \(0.366826\pi\) | |||||||
\(18\) | − | 1.48119i | − | 0.349121i | ||||||
\(19\) | − | 2.38787i | − | 0.547816i | −0.961756 | − | 0.273908i | \(-0.911684\pi\) | ||
0.961756 | − | 0.273908i | \(-0.0883163\pi\) | |||||||
\(20\) | − | 0.806063i | − | 0.180241i | ||||||
\(21\) | 1.00000i | 0.218218i | ||||||||
\(22\) | 4.73084 | 1.00862 | ||||||||
\(23\) | 0.387873 | 0.0808771 | 0.0404386 | − | 0.999182i | \(-0.487124\pi\) | ||||
0.0404386 | + | 0.999182i | \(0.487124\pi\) | |||||||
\(24\) | − | 2.67513i | − | 0.546059i | ||||||
\(25\) | −12.2750 | −2.45501 | ||||||||
\(26\) | −4.86907 | − | 2.19394i | −0.954903 | − | 0.430266i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | − | 0.193937i | − | 0.0366506i | ||||||
\(29\) | −7.92478 | −1.47159 | −0.735797 | − | 0.677202i | \(-0.763192\pi\) | ||||
−0.735797 | + | 0.677202i | \(0.763192\pi\) | |||||||
\(30\) | 6.15633 | 1.12399 | ||||||||
\(31\) | − | 10.7005i | − | 1.92187i | −0.276773 | − | 0.960935i | \(-0.589265\pi\) | ||
0.276773 | − | 0.960935i | \(-0.410735\pi\) | |||||||
\(32\) | 1.09332i | 0.193274i | ||||||||
\(33\) | 3.19394i | 0.555993i | ||||||||
\(34\) | − | 4.96239i | − | 0.851043i | ||||||
\(35\) | −4.15633 | −0.702547 | ||||||||
\(36\) | −0.193937 | −0.0323228 | ||||||||
\(37\) | 1.61213i | 0.265032i | 0.991181 | + | 0.132516i | \(0.0423056\pi\) | ||||
−0.991181 | + | 0.132516i | \(0.957694\pi\) | |||||||
\(38\) | −3.53690 | −0.573762 | ||||||||
\(39\) | 1.48119 | − | 3.28726i | 0.237181 | − | 0.526383i | ||||
\(40\) | 11.1187 | 1.75802 | ||||||||
\(41\) | − | 1.45580i | − | 0.227358i | −0.993518 | − | 0.113679i | \(-0.963736\pi\) | ||
0.993518 | − | 0.113679i | \(-0.0362635\pi\) | |||||||
\(42\) | 1.48119 | 0.228553 | ||||||||
\(43\) | 1.92478 | 0.293526 | 0.146763 | − | 0.989172i | \(-0.453115\pi\) | ||||
0.146763 | + | 0.989172i | \(0.453115\pi\) | |||||||
\(44\) | − | 0.619421i | − | 0.0933812i | ||||||
\(45\) | 4.15633i | 0.619588i | ||||||||
\(46\) | − | 0.574515i | − | 0.0847077i | ||||||
\(47\) | 3.76845i | 0.549685i | 0.961489 | + | 0.274843i | \(0.0886258\pi\) | ||||
−0.961489 | + | 0.274843i | \(0.911374\pi\) | |||||||
\(48\) | −4.35026 | −0.627906 | ||||||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 18.1817i | 2.57128i | ||||||||
\(51\) | 3.35026 | 0.469130 | ||||||||
\(52\) | −0.287258 | + | 0.637519i | −0.0398355 | + | 0.0884080i | ||||
\(53\) | −6.00000 | −0.824163 | −0.412082 | − | 0.911147i | \(-0.635198\pi\) | ||||
−0.412082 | + | 0.911147i | \(0.635198\pi\) | |||||||
\(54\) | − | 1.48119i | − | 0.201565i | ||||||
\(55\) | −13.2750 | −1.79001 | ||||||||
\(56\) | 2.67513 | 0.357479 | ||||||||
\(57\) | − | 2.38787i | − | 0.316282i | ||||||
\(58\) | 11.7381i | 1.54129i | ||||||||
\(59\) | 6.15633i | 0.801485i | 0.916191 | + | 0.400743i | \(0.131248\pi\) | ||||
−0.916191 | + | 0.400743i | \(0.868752\pi\) | |||||||
\(60\) | − | 0.806063i | − | 0.104062i | ||||||
\(61\) | 14.4387 | 1.84868 | 0.924340 | − | 0.381569i | \(-0.124616\pi\) | ||||
0.924340 | + | 0.381569i | \(0.124616\pi\) | |||||||
\(62\) | −15.8496 | −2.01290 | ||||||||
\(63\) | 1.00000i | 0.125988i | ||||||||
\(64\) | −7.08110 | −0.885138 | ||||||||
\(65\) | 13.6629 | + | 6.15633i | 1.69468 | + | 0.763598i | ||||
\(66\) | 4.73084 | 0.582326 | ||||||||
\(67\) | − | 5.61213i | − | 0.685630i | −0.939403 | − | 0.342815i | \(-0.888620\pi\) | ||
0.939403 | − | 0.342815i | \(-0.111380\pi\) | |||||||
\(68\) | −0.649738 | −0.0787923 | ||||||||
\(69\) | 0.387873 | 0.0466944 | ||||||||
\(70\) | 6.15633i | 0.735822i | ||||||||
\(71\) | − | 11.8192i | − | 1.40269i | −0.712824 | − | 0.701343i | \(-0.752584\pi\) | ||
0.712824 | − | 0.701343i | \(-0.247416\pi\) | |||||||
\(72\) | − | 2.67513i | − | 0.315267i | ||||||
\(73\) | 15.6629i | 1.83321i | 0.399800 | + | 0.916603i | \(0.369080\pi\) | ||||
−0.399800 | + | 0.916603i | \(0.630920\pi\) | |||||||
\(74\) | 2.38787 | 0.277585 | ||||||||
\(75\) | −12.2750 | −1.41740 | ||||||||
\(76\) | 0.463096i | 0.0531207i | ||||||||
\(77\) | −3.19394 | −0.363983 | ||||||||
\(78\) | −4.86907 | − | 2.19394i | −0.551313 | − | 0.248414i | ||||
\(79\) | −8.96239 | −1.00835 | −0.504174 | − | 0.863602i | \(-0.668203\pi\) | ||||
−0.504174 | + | 0.863602i | \(0.668203\pi\) | |||||||
\(80\) | − | 18.0811i | − | 2.02153i | ||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −2.15633 | −0.238126 | ||||||||
\(83\) | − | 6.99271i | − | 0.767549i | −0.923427 | − | 0.383775i | \(-0.874624\pi\) | ||
0.923427 | − | 0.383775i | \(-0.125376\pi\) | |||||||
\(84\) | − | 0.193937i | − | 0.0211602i | ||||||
\(85\) | 13.9248i | 1.51035i | ||||||||
\(86\) | − | 2.85097i | − | 0.307428i | ||||||
\(87\) | −7.92478 | −0.849625 | ||||||||
\(88\) | 8.54420 | 0.910815 | ||||||||
\(89\) | − | 0.932071i | − | 0.0987994i | −0.998779 | − | 0.0493997i | \(-0.984269\pi\) | ||
0.998779 | − | 0.0493997i | \(-0.0157308\pi\) | |||||||
\(90\) | 6.15633 | 0.648934 | ||||||||
\(91\) | 3.28726 | + | 1.48119i | 0.344598 | + | 0.155271i | ||||
\(92\) | −0.0752228 | −0.00784252 | ||||||||
\(93\) | − | 10.7005i | − | 1.10959i | ||||||
\(94\) | 5.58181 | 0.575720 | ||||||||
\(95\) | 9.92478 | 1.01826 | ||||||||
\(96\) | 1.09332i | 0.111587i | ||||||||
\(97\) | 3.35026i | 0.340168i | 0.985430 | + | 0.170084i | \(0.0544038\pi\) | ||||
−0.985430 | + | 0.170084i | \(0.945596\pi\) | |||||||
\(98\) | 1.48119i | 0.149623i | ||||||||
\(99\) | 3.19394i | 0.321003i | ||||||||
\(100\) | 2.38058 | 0.238058 | ||||||||
\(101\) | −14.0508 | −1.39811 | −0.699053 | − | 0.715070i | \(-0.746395\pi\) | ||||
−0.699053 | + | 0.715070i | \(0.746395\pi\) | |||||||
\(102\) | − | 4.96239i | − | 0.491350i | ||||||
\(103\) | 1.42548 | 0.140457 | 0.0702286 | − | 0.997531i | \(-0.477627\pi\) | ||||
0.0702286 | + | 0.997531i | \(0.477627\pi\) | |||||||
\(104\) | −8.79384 | − | 3.96239i | −0.862307 | − | 0.388544i | ||||
\(105\) | −4.15633 | −0.405616 | ||||||||
\(106\) | 8.88717i | 0.863198i | ||||||||
\(107\) | 9.53690 | 0.921967 | 0.460984 | − | 0.887409i | \(-0.347497\pi\) | ||||
0.460984 | + | 0.887409i | \(0.347497\pi\) | |||||||
\(108\) | −0.193937 | −0.0186616 | ||||||||
\(109\) | 6.23743i | 0.597437i | 0.954341 | + | 0.298719i | \(0.0965592\pi\) | ||||
−0.954341 | + | 0.298719i | \(0.903441\pi\) | |||||||
\(110\) | 19.6629i | 1.87479i | ||||||||
\(111\) | 1.61213i | 0.153016i | ||||||||
\(112\) | − | 4.35026i | − | 0.411061i | ||||||
\(113\) | −3.92478 | −0.369212 | −0.184606 | − | 0.982813i | \(-0.559101\pi\) | ||||
−0.184606 | + | 0.982813i | \(0.559101\pi\) | |||||||
\(114\) | −3.53690 | −0.331261 | ||||||||
\(115\) | 1.61213i | 0.150332i | ||||||||
\(116\) | 1.53690 | 0.142698 | ||||||||
\(117\) | 1.48119 | − | 3.28726i | 0.136936 | − | 0.303907i | ||||
\(118\) | 9.11871 | 0.839446 | ||||||||
\(119\) | 3.35026i | 0.307118i | ||||||||
\(120\) | 11.1187 | 1.01500 | ||||||||
\(121\) | 0.798769 | 0.0726154 | ||||||||
\(122\) | − | 21.3865i | − | 1.93624i | ||||||
\(123\) | − | 1.45580i | − | 0.131265i | ||||||
\(124\) | 2.07522i | 0.186361i | ||||||||
\(125\) | − | 30.2374i | − | 2.70452i | ||||||
\(126\) | 1.48119 | 0.131955 | ||||||||
\(127\) | −0.962389 | −0.0853982 | −0.0426991 | − | 0.999088i | \(-0.513596\pi\) | ||||
−0.0426991 | + | 0.999088i | \(0.513596\pi\) | |||||||
\(128\) | 12.6751i | 1.12033i | ||||||||
\(129\) | 1.92478 | 0.169467 | ||||||||
\(130\) | 9.11871 | − | 20.2374i | 0.799764 | − | 1.77494i | ||||
\(131\) | 17.1490 | 1.49832 | 0.749159 | − | 0.662390i | \(-0.230458\pi\) | ||||
0.749159 | + | 0.662390i | \(0.230458\pi\) | |||||||
\(132\) | − | 0.619421i | − | 0.0539137i | ||||||
\(133\) | 2.38787 | 0.207055 | ||||||||
\(134\) | −8.31265 | −0.718104 | ||||||||
\(135\) | 4.15633i | 0.357720i | ||||||||
\(136\) | − | 8.96239i | − | 0.768518i | ||||||
\(137\) | − | 4.85685i | − | 0.414949i | −0.978240 | − | 0.207474i | \(-0.933476\pi\) | ||
0.978240 | − | 0.207474i | \(-0.0665243\pi\) | |||||||
\(138\) | − | 0.574515i | − | 0.0489060i | ||||||
\(139\) | 2.57452 | 0.218368 | 0.109184 | − | 0.994022i | \(-0.465176\pi\) | ||||
0.109184 | + | 0.994022i | \(0.465176\pi\) | |||||||
\(140\) | 0.806063 | 0.0681248 | ||||||||
\(141\) | 3.76845i | 0.317361i | ||||||||
\(142\) | −17.5066 | −1.46912 | ||||||||
\(143\) | 10.4993 | + | 4.73084i | 0.877995 | + | 0.395613i | ||||
\(144\) | −4.35026 | −0.362522 | ||||||||
\(145\) | − | 32.9380i | − | 2.73535i | ||||||
\(146\) | 23.1998 | 1.92003 | ||||||||
\(147\) | −1.00000 | −0.0824786 | ||||||||
\(148\) | − | 0.312650i | − | 0.0256997i | ||||||
\(149\) | 13.3806i | 1.09618i | 0.836419 | + | 0.548090i | \(0.184645\pi\) | ||||
−0.836419 | + | 0.548090i | \(0.815355\pi\) | |||||||
\(150\) | 18.1817i | 1.48453i | ||||||||
\(151\) | − | 15.8496i | − | 1.28982i | −0.764259 | − | 0.644909i | \(-0.776895\pi\) | ||
0.764259 | − | 0.644909i | \(-0.223105\pi\) | |||||||
\(152\) | −6.38787 | −0.518125 | ||||||||
\(153\) | 3.35026 | 0.270853 | ||||||||
\(154\) | 4.73084i | 0.381222i | ||||||||
\(155\) | 44.4749 | 3.57231 | ||||||||
\(156\) | −0.287258 | + | 0.637519i | −0.0229990 | + | 0.0510424i | ||||
\(157\) | −12.7005 | −1.01361 | −0.506806 | − | 0.862060i | \(-0.669174\pi\) | ||||
−0.506806 | + | 0.862060i | \(0.669174\pi\) | |||||||
\(158\) | 13.2750i | 1.05611i | ||||||||
\(159\) | −6.00000 | −0.475831 | ||||||||
\(160\) | −4.54420 | −0.359250 | ||||||||
\(161\) | 0.387873i | 0.0305687i | ||||||||
\(162\) | − | 1.48119i | − | 0.116374i | ||||||
\(163\) | 9.61213i | 0.752880i | 0.926441 | + | 0.376440i | \(0.122852\pi\) | ||||
−0.926441 | + | 0.376440i | \(0.877148\pi\) | |||||||
\(164\) | 0.282333i | 0.0220465i | ||||||||
\(165\) | −13.2750 | −1.03346 | ||||||||
\(166\) | −10.3576 | −0.803902 | ||||||||
\(167\) | − | 12.0811i | − | 0.934864i | −0.884029 | − | 0.467432i | \(-0.845179\pi\) | ||
0.884029 | − | 0.467432i | \(-0.154821\pi\) | |||||||
\(168\) | 2.67513 | 0.206391 | ||||||||
\(169\) | −8.61213 | − | 9.73813i | −0.662471 | − | 0.749087i | ||||
\(170\) | 20.6253 | 1.58189 | ||||||||
\(171\) | − | 2.38787i | − | 0.182605i | ||||||
\(172\) | −0.373285 | −0.0284627 | ||||||||
\(173\) | −9.27504 | −0.705168 | −0.352584 | − | 0.935780i | \(-0.614697\pi\) | ||||
−0.352584 | + | 0.935780i | \(0.614697\pi\) | |||||||
\(174\) | 11.7381i | 0.889866i | ||||||||
\(175\) | − | 12.2750i | − | 0.927906i | ||||||
\(176\) | − | 13.8945i | − | 1.04733i | ||||||
\(177\) | 6.15633i | 0.462738i | ||||||||
\(178\) | −1.38058 | −0.103479 | ||||||||
\(179\) | −5.01317 | −0.374702 | −0.187351 | − | 0.982293i | \(-0.559990\pi\) | ||||
−0.187351 | + | 0.982293i | \(0.559990\pi\) | |||||||
\(180\) | − | 0.806063i | − | 0.0600804i | ||||||
\(181\) | −13.8496 | −1.02943 | −0.514715 | − | 0.857362i | \(-0.672102\pi\) | ||||
−0.514715 | + | 0.857362i | \(0.672102\pi\) | |||||||
\(182\) | 2.19394 | − | 4.86907i | 0.162625 | − | 0.360919i | ||||
\(183\) | 14.4387 | 1.06734 | ||||||||
\(184\) | − | 1.03761i | − | 0.0764937i | ||||||
\(185\) | −6.70052 | −0.492632 | ||||||||
\(186\) | −15.8496 | −1.16215 | ||||||||
\(187\) | 10.7005i | 0.782500i | ||||||||
\(188\) | − | 0.730841i | − | 0.0533020i | ||||||
\(189\) | 1.00000i | 0.0727393i | ||||||||
\(190\) | − | 14.7005i | − | 1.06649i | ||||||
\(191\) | −18.5647 | −1.34329 | −0.671646 | − | 0.740872i | \(-0.734412\pi\) | ||||
−0.671646 | + | 0.740872i | \(0.734412\pi\) | |||||||
\(192\) | −7.08110 | −0.511035 | ||||||||
\(193\) | 13.0884i | 0.942123i | 0.882100 | + | 0.471062i | \(0.156129\pi\) | ||||
−0.882100 | + | 0.471062i | \(0.843871\pi\) | |||||||
\(194\) | 4.96239 | 0.356279 | ||||||||
\(195\) | 13.6629 | + | 6.15633i | 0.978421 | + | 0.440864i | ||||
\(196\) | 0.193937 | 0.0138526 | ||||||||
\(197\) | 7.24472i | 0.516165i | 0.966123 | + | 0.258083i | \(0.0830906\pi\) | ||||
−0.966123 | + | 0.258083i | \(0.916909\pi\) | |||||||
\(198\) | 4.73084 | 0.336206 | ||||||||
\(199\) | 8.62530 | 0.611431 | 0.305716 | − | 0.952123i | \(-0.401104\pi\) | ||||
0.305716 | + | 0.952123i | \(0.401104\pi\) | |||||||
\(200\) | 32.8373i | 2.32195i | ||||||||
\(201\) | − | 5.61213i | − | 0.395849i | ||||||
\(202\) | 20.8119i | 1.46432i | ||||||||
\(203\) | − | 7.92478i | − | 0.556210i | ||||||
\(204\) | −0.649738 | −0.0454908 | ||||||||
\(205\) | 6.05079 | 0.422605 | ||||||||
\(206\) | − | 2.11142i | − | 0.147110i | ||||||
\(207\) | 0.387873 | 0.0269590 | ||||||||
\(208\) | −6.44358 | + | 14.3004i | −0.446782 | + | 0.991557i | ||||
\(209\) | 7.62672 | 0.527551 | ||||||||
\(210\) | 6.15633i | 0.424827i | ||||||||
\(211\) | 18.8872 | 1.30025 | 0.650123 | − | 0.759829i | \(-0.274717\pi\) | ||||
0.650123 | + | 0.759829i | \(0.274717\pi\) | |||||||
\(212\) | 1.16362 | 0.0799177 | ||||||||
\(213\) | − | 11.8192i | − | 0.809841i | ||||||
\(214\) | − | 14.1260i | − | 0.965634i | ||||||
\(215\) | 8.00000i | 0.545595i | ||||||||
\(216\) | − | 2.67513i | − | 0.182020i | ||||||
\(217\) | 10.7005 | 0.726399 | ||||||||
\(218\) | 9.23884 | 0.625733 | ||||||||
\(219\) | 15.6629i | 1.05840i | ||||||||
\(220\) | 2.57452 | 0.173574 | ||||||||
\(221\) | 4.96239 | − | 11.0132i | 0.333806 | − | 0.740826i | ||||
\(222\) | 2.38787 | 0.160264 | ||||||||
\(223\) | 16.1622i | 1.08230i | 0.840926 | + | 0.541151i | \(0.182011\pi\) | ||||
−0.840926 | + | 0.541151i | \(0.817989\pi\) | |||||||
\(224\) | −1.09332 | −0.0730506 | ||||||||
\(225\) | −12.2750 | −0.818336 | ||||||||
\(226\) | 5.81336i | 0.386699i | ||||||||
\(227\) | 27.2447i | 1.80830i | 0.427220 | + | 0.904148i | \(0.359493\pi\) | ||||
−0.427220 | + | 0.904148i | \(0.640507\pi\) | |||||||
\(228\) | 0.463096i | 0.0306693i | ||||||||
\(229\) | 19.5125i | 1.28942i | 0.764427 | + | 0.644710i | \(0.223022\pi\) | ||||
−0.764427 | + | 0.644710i | \(0.776978\pi\) | |||||||
\(230\) | 2.38787 | 0.157452 | ||||||||
\(231\) | −3.19394 | −0.210146 | ||||||||
\(232\) | 21.1998i | 1.39184i | ||||||||
\(233\) | −21.8496 | −1.43141 | −0.715706 | − | 0.698402i | \(-0.753895\pi\) | ||||
−0.715706 | + | 0.698402i | \(0.753895\pi\) | |||||||
\(234\) | −4.86907 | − | 2.19394i | −0.318301 | − | 0.143422i | ||||
\(235\) | −15.6629 | −1.02174 | ||||||||
\(236\) | − | 1.19394i | − | 0.0777187i | ||||||
\(237\) | −8.96239 | −0.582170 | ||||||||
\(238\) | 4.96239 | 0.321664 | ||||||||
\(239\) | − | 8.49341i | − | 0.549393i | −0.961531 | − | 0.274697i | \(-0.911423\pi\) | ||
0.961531 | − | 0.274697i | \(-0.0885774\pi\) | |||||||
\(240\) | − | 18.0811i | − | 1.16713i | ||||||
\(241\) | 5.48612i | 0.353392i | 0.984265 | + | 0.176696i | \(0.0565409\pi\) | ||||
−0.984265 | + | 0.176696i | \(0.943459\pi\) | |||||||
\(242\) | − | 1.18313i | − | 0.0760546i | ||||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −2.80018 | −0.179263 | ||||||||
\(245\) | − | 4.15633i | − | 0.265538i | ||||||
\(246\) | −2.15633 | −0.137482 | ||||||||
\(247\) | −7.84955 | − | 3.53690i | −0.499455 | − | 0.225048i | ||||
\(248\) | −28.6253 | −1.81771 | ||||||||
\(249\) | − | 6.99271i | − | 0.443145i | ||||||
\(250\) | −44.7875 | −2.83261 | ||||||||
\(251\) | 6.44851 | 0.407026 | 0.203513 | − | 0.979072i | \(-0.434764\pi\) | ||||
0.203513 | + | 0.979072i | \(0.434764\pi\) | |||||||
\(252\) | − | 0.193937i | − | 0.0122169i | ||||||
\(253\) | 1.23884i | 0.0778853i | ||||||||
\(254\) | 1.42548i | 0.0894429i | ||||||||
\(255\) | 13.9248i | 0.872003i | ||||||||
\(256\) | 4.61213 | 0.288258 | ||||||||
\(257\) | 9.90034 | 0.617566 | 0.308783 | − | 0.951132i | \(-0.400078\pi\) | ||||
0.308783 | + | 0.951132i | \(0.400078\pi\) | |||||||
\(258\) | − | 2.85097i | − | 0.177494i | ||||||
\(259\) | −1.61213 | −0.100173 | ||||||||
\(260\) | −2.64974 | − | 1.19394i | −0.164330 | − | 0.0740448i | ||||
\(261\) | −7.92478 | −0.490531 | ||||||||
\(262\) | − | 25.4010i | − | 1.56928i | ||||||
\(263\) | 3.46168 | 0.213456 | 0.106728 | − | 0.994288i | \(-0.465963\pi\) | ||||
0.106728 | + | 0.994288i | \(0.465963\pi\) | |||||||
\(264\) | 8.54420 | 0.525859 | ||||||||
\(265\) | − | 24.9380i | − | 1.53193i | ||||||
\(266\) | − | 3.53690i | − | 0.216862i | ||||||
\(267\) | − | 0.932071i | − | 0.0570418i | ||||||
\(268\) | 1.08840i | 0.0664844i | ||||||||
\(269\) | 16.7513 | 1.02135 | 0.510673 | − | 0.859775i | \(-0.329396\pi\) | ||||
0.510673 | + | 0.859775i | \(0.329396\pi\) | |||||||
\(270\) | 6.15633 | 0.374662 | ||||||||
\(271\) | − | 6.38787i | − | 0.388036i | −0.980998 | − | 0.194018i | \(-0.937848\pi\) | ||
0.980998 | − | 0.194018i | \(-0.0621520\pi\) | |||||||
\(272\) | −14.5745 | −0.883710 | ||||||||
\(273\) | 3.28726 | + | 1.48119i | 0.198954 | + | 0.0896460i | ||||
\(274\) | −7.19394 | −0.434602 | ||||||||
\(275\) | − | 39.2057i | − | 2.36419i | ||||||
\(276\) | −0.0752228 | −0.00452788 | ||||||||
\(277\) | 12.1768 | 0.731633 | 0.365816 | − | 0.930687i | \(-0.380790\pi\) | ||||
0.365816 | + | 0.930687i | \(0.380790\pi\) | |||||||
\(278\) | − | 3.81336i | − | 0.228710i | ||||||
\(279\) | − | 10.7005i | − | 0.640624i | ||||||
\(280\) | 11.1187i | 0.664470i | ||||||||
\(281\) | − | 27.3054i | − | 1.62890i | −0.580233 | − | 0.814450i | \(-0.697039\pi\) | ||
0.580233 | − | 0.814450i | \(-0.302961\pi\) | |||||||
\(282\) | 5.58181 | 0.332392 | ||||||||
\(283\) | 27.0738 | 1.60937 | 0.804685 | − | 0.593701i | \(-0.202334\pi\) | ||||
0.804685 | + | 0.593701i | \(0.202334\pi\) | |||||||
\(284\) | 2.29218i | 0.136016i | ||||||||
\(285\) | 9.92478 | 0.587893 | ||||||||
\(286\) | 7.00729 | − | 15.5515i | 0.414350 | − | 0.919579i | ||||
\(287\) | 1.45580 | 0.0859333 | ||||||||
\(288\) | 1.09332i | 0.0644246i | ||||||||
\(289\) | −5.77575 | −0.339750 | ||||||||
\(290\) | −48.7875 | −2.86490 | ||||||||
\(291\) | 3.35026i | 0.196396i | ||||||||
\(292\) | − | 3.03761i | − | 0.177763i | ||||||
\(293\) | 16.7816i | 0.980393i | 0.871612 | + | 0.490197i | \(0.163075\pi\) | ||||
−0.871612 | + | 0.490197i | \(0.836925\pi\) | |||||||
\(294\) | 1.48119i | 0.0863850i | ||||||||
\(295\) | −25.5877 | −1.48977 | ||||||||
\(296\) | 4.31265 | 0.250668 | ||||||||
\(297\) | 3.19394i | 0.185331i | ||||||||
\(298\) | 19.8192 | 1.14810 | ||||||||
\(299\) | 0.574515 | − | 1.27504i | 0.0332251 | − | 0.0737374i | ||||
\(300\) | 2.38058 | 0.137443 | ||||||||
\(301\) | 1.92478i | 0.110942i | ||||||||
\(302\) | −23.4763 | −1.35091 | ||||||||
\(303\) | −14.0508 | −0.807197 | ||||||||
\(304\) | 10.3879i | 0.595785i | ||||||||
\(305\) | 60.0118i | 3.43626i | ||||||||
\(306\) | − | 4.96239i | − | 0.283681i | ||||||
\(307\) | 17.2995i | 0.987333i | 0.869651 | + | 0.493667i | \(0.164344\pi\) | ||||
−0.869651 | + | 0.493667i | \(0.835656\pi\) | |||||||
\(308\) | 0.619421 | 0.0352948 | ||||||||
\(309\) | 1.42548 | 0.0810930 | ||||||||
\(310\) | − | 65.8759i | − | 3.74150i | ||||||
\(311\) | 17.1490 | 0.972432 | 0.486216 | − | 0.873839i | \(-0.338377\pi\) | ||||
0.486216 | + | 0.873839i | \(0.338377\pi\) | |||||||
\(312\) | −8.79384 | − | 3.96239i | −0.497853 | − | 0.224326i | ||||
\(313\) | −10.8119 | −0.611127 | −0.305564 | − | 0.952172i | \(-0.598845\pi\) | ||||
−0.305564 | + | 0.952172i | \(0.598845\pi\) | |||||||
\(314\) | 18.8119i | 1.06162i | ||||||||
\(315\) | −4.15633 | −0.234182 | ||||||||
\(316\) | 1.73813 | 0.0977777 | ||||||||
\(317\) | − | 14.1563i | − | 0.795098i | −0.917581 | − | 0.397549i | \(-0.869861\pi\) | ||
0.917581 | − | 0.397549i | \(-0.130139\pi\) | |||||||
\(318\) | 8.88717i | 0.498368i | ||||||||
\(319\) | − | 25.3112i | − | 1.41716i | ||||||
\(320\) | − | 29.4314i | − | 1.64526i | ||||||
\(321\) | 9.53690 | 0.532298 | ||||||||
\(322\) | 0.574515 | 0.0320165 | ||||||||
\(323\) | − | 8.00000i | − | 0.445132i | ||||||
\(324\) | −0.193937 | −0.0107743 | ||||||||
\(325\) | −18.1817 | + | 40.3512i | −1.00854 | + | 2.23828i | ||||
\(326\) | 14.2374 | 0.788538 | ||||||||
\(327\) | 6.23743i | 0.344931i | ||||||||
\(328\) | −3.89446 | −0.215036 | ||||||||
\(329\) | −3.76845 | −0.207761 | ||||||||
\(330\) | 19.6629i | 1.08241i | ||||||||
\(331\) | 17.2506i | 0.948179i | 0.880477 | + | 0.474089i | \(0.157223\pi\) | ||||
−0.880477 | + | 0.474089i | \(0.842777\pi\) | |||||||
\(332\) | 1.35614i | 0.0744279i | ||||||||
\(333\) | 1.61213i | 0.0883440i | ||||||||
\(334\) | −17.8945 | −0.979141 | ||||||||
\(335\) | 23.3258 | 1.27443 | ||||||||
\(336\) | − | 4.35026i | − | 0.237326i | ||||||
\(337\) | −5.97556 | −0.325510 | −0.162755 | − | 0.986667i | \(-0.552038\pi\) | ||||
−0.162755 | + | 0.986667i | \(0.552038\pi\) | |||||||
\(338\) | −14.4241 | + | 12.7562i | −0.784566 | + | 0.693848i | ||||
\(339\) | −3.92478 | −0.213165 | ||||||||
\(340\) | − | 2.70052i | − | 0.146456i | ||||||
\(341\) | 34.1768 | 1.85078 | ||||||||
\(342\) | −3.53690 | −0.191254 | ||||||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | − | 5.14903i | − | 0.277617i | ||||||
\(345\) | 1.61213i | 0.0867940i | ||||||||
\(346\) | 13.7381i | 0.738567i | ||||||||
\(347\) | 25.7889 | 1.38442 | 0.692211 | − | 0.721695i | \(-0.256637\pi\) | ||||
0.692211 | + | 0.721695i | \(0.256637\pi\) | |||||||
\(348\) | 1.53690 | 0.0823867 | ||||||||
\(349\) | 12.9624i | 0.693861i | 0.937891 | + | 0.346930i | \(0.112776\pi\) | ||||
−0.937891 | + | 0.346930i | \(0.887224\pi\) | |||||||
\(350\) | −18.1817 | −0.971854 | ||||||||
\(351\) | 1.48119 | − | 3.28726i | 0.0790603 | − | 0.175461i | ||||
\(352\) | −3.49200 | −0.186124 | ||||||||
\(353\) | − | 3.78304i | − | 0.201351i | −0.994919 | − | 0.100675i | \(-0.967900\pi\) | ||
0.994919 | − | 0.100675i | \(-0.0321004\pi\) | |||||||
\(354\) | 9.11871 | 0.484654 | ||||||||
\(355\) | 49.1246 | 2.60726 | ||||||||
\(356\) | 0.180763i | 0.00958041i | ||||||||
\(357\) | 3.35026i | 0.177315i | ||||||||
\(358\) | 7.42548i | 0.392449i | ||||||||
\(359\) | 10.6702i | 0.563152i | 0.959539 | + | 0.281576i | \(0.0908571\pi\) | ||||
−0.959539 | + | 0.281576i | \(0.909143\pi\) | |||||||
\(360\) | 11.1187 | 0.586008 | ||||||||
\(361\) | 13.2981 | 0.699898 | ||||||||
\(362\) | 20.5139i | 1.07819i | ||||||||
\(363\) | 0.798769 | 0.0419245 | ||||||||
\(364\) | −0.637519 | − | 0.287258i | −0.0334151 | − | 0.0150564i | ||||
\(365\) | −65.1002 | −3.40750 | ||||||||
\(366\) | − | 21.3865i | − | 1.11789i | ||||||
\(367\) | 6.82653 | 0.356342 | 0.178171 | − | 0.984000i | \(-0.442982\pi\) | ||||
0.178171 | + | 0.984000i | \(0.442982\pi\) | |||||||
\(368\) | −1.68735 | −0.0879592 | ||||||||
\(369\) | − | 1.45580i | − | 0.0757860i | ||||||
\(370\) | 9.92478i | 0.515965i | ||||||||
\(371\) | − | 6.00000i | − | 0.311504i | ||||||
\(372\) | 2.07522i | 0.107595i | ||||||||
\(373\) | 16.5745 | 0.858196 | 0.429098 | − | 0.903258i | \(-0.358832\pi\) | ||||
0.429098 | + | 0.903258i | \(0.358832\pi\) | |||||||
\(374\) | 15.8496 | 0.819561 | ||||||||
\(375\) | − | 30.2374i | − | 1.56145i | ||||||
\(376\) | 10.0811 | 0.519893 | ||||||||
\(377\) | −11.7381 | + | 26.0508i | −0.604545 | + | 1.34168i | ||||
\(378\) | 1.48119 | 0.0761844 | ||||||||
\(379\) | − | 19.0738i | − | 0.979756i | −0.871791 | − | 0.489878i | \(-0.837041\pi\) | ||
0.871791 | − | 0.489878i | \(-0.162959\pi\) | |||||||
\(380\) | −1.92478 | −0.0987390 | ||||||||
\(381\) | −0.962389 | −0.0493047 | ||||||||
\(382\) | 27.4979i | 1.40691i | ||||||||
\(383\) | 8.29218i | 0.423711i | 0.977301 | + | 0.211855i | \(0.0679506\pi\) | ||||
−0.977301 | + | 0.211855i | \(0.932049\pi\) | |||||||
\(384\) | 12.6751i | 0.646825i | ||||||||
\(385\) | − | 13.2750i | − | 0.676559i | ||||||
\(386\) | 19.3865 | 0.986745 | ||||||||
\(387\) | 1.92478 | 0.0978419 | ||||||||
\(388\) | − | 0.649738i | − | 0.0329855i | ||||||
\(389\) | 0.700523 | 0.0355180 | 0.0177590 | − | 0.999842i | \(-0.494347\pi\) | ||||
0.0177590 | + | 0.999842i | \(0.494347\pi\) | |||||||
\(390\) | 9.11871 | − | 20.2374i | 0.461744 | − | 1.02476i | ||||
\(391\) | 1.29948 | 0.0657174 | ||||||||
\(392\) | 2.67513i | 0.135115i | ||||||||
\(393\) | 17.1490 | 0.865054 | ||||||||
\(394\) | 10.7308 | 0.540612 | ||||||||
\(395\) | − | 37.2506i | − | 1.87428i | ||||||
\(396\) | − | 0.619421i | − | 0.0311271i | ||||||
\(397\) | − | 12.4993i | − | 0.627322i | −0.949535 | − | 0.313661i | \(-0.898445\pi\) | ||
0.949535 | − | 0.313661i | \(-0.101555\pi\) | |||||||
\(398\) | − | 12.7757i | − | 0.640390i | ||||||
\(399\) | 2.38787 | 0.119543 | ||||||||
\(400\) | 53.3996 | 2.66998 | ||||||||
\(401\) | 28.7064i | 1.43353i | 0.697315 | + | 0.716765i | \(0.254378\pi\) | ||||
−0.697315 | + | 0.716765i | \(0.745622\pi\) | |||||||
\(402\) | −8.31265 | −0.414597 | ||||||||
\(403\) | −35.1754 | − | 15.8496i | −1.75221 | − | 0.789523i | ||||
\(404\) | 2.72496 | 0.135572 | ||||||||
\(405\) | 4.15633i | 0.206529i | ||||||||
\(406\) | −11.7381 | −0.582554 | ||||||||
\(407\) | −5.14903 | −0.255228 | ||||||||
\(408\) | − | 8.96239i | − | 0.443704i | ||||||
\(409\) | − | 23.4518i | − | 1.15962i | −0.814752 | − | 0.579809i | \(-0.803127\pi\) | ||
0.814752 | − | 0.579809i | \(-0.196873\pi\) | |||||||
\(410\) | − | 8.96239i | − | 0.442621i | ||||||
\(411\) | − | 4.85685i | − | 0.239571i | ||||||
\(412\) | −0.276454 | −0.0136199 | ||||||||
\(413\) | −6.15633 | −0.302933 | ||||||||
\(414\) | − | 0.574515i | − | 0.0282359i | ||||||
\(415\) | 29.0640 | 1.42669 | ||||||||
\(416\) | 3.59403 | + | 1.61942i | 0.176212 | + | 0.0793987i | ||||
\(417\) | 2.57452 | 0.126075 | ||||||||
\(418\) | − | 11.2966i | − | 0.552537i | ||||||
\(419\) | −34.1768 | −1.66965 | −0.834823 | − | 0.550519i | \(-0.814430\pi\) | ||||
−0.834823 | + | 0.550519i | \(0.814430\pi\) | |||||||
\(420\) | 0.806063 | 0.0393319 | ||||||||
\(421\) | 5.55149i | 0.270563i | 0.990807 | + | 0.135282i | \(0.0431939\pi\) | ||||
−0.990807 | + | 0.135282i | \(0.956806\pi\) | |||||||
\(422\) | − | 27.9756i | − | 1.36183i | ||||||
\(423\) | 3.76845i | 0.183228i | ||||||||
\(424\) | 16.0508i | 0.779495i | ||||||||
\(425\) | −41.1246 | −1.99484 | ||||||||
\(426\) | −17.5066 | −0.848197 | ||||||||
\(427\) | 14.4387i | 0.698736i | ||||||||
\(428\) | −1.84955 | −0.0894016 | ||||||||
\(429\) | 10.4993 | + | 4.73084i | 0.506911 | + | 0.228407i | ||||
\(430\) | 11.8496 | 0.571436 | ||||||||
\(431\) | − | 5.43136i | − | 0.261620i | −0.991407 | − | 0.130810i | \(-0.958242\pi\) | ||
0.991407 | − | 0.130810i | \(-0.0417577\pi\) | |||||||
\(432\) | −4.35026 | −0.209302 | ||||||||
\(433\) | 40.2130 | 1.93251 | 0.966256 | − | 0.257582i | \(-0.0829257\pi\) | ||||
0.966256 | + | 0.257582i | \(0.0829257\pi\) | |||||||
\(434\) | − | 15.8496i | − | 0.760803i | ||||||
\(435\) | − | 32.9380i | − | 1.57925i | ||||||
\(436\) | − | 1.20967i | − | 0.0579325i | ||||||
\(437\) | − | 0.926192i | − | 0.0443058i | ||||||
\(438\) | 23.1998 | 1.10853 | ||||||||
\(439\) | −22.5745 | −1.07742 | −0.538711 | − | 0.842490i | \(-0.681089\pi\) | ||||
−0.538711 | + | 0.842490i | \(0.681089\pi\) | |||||||
\(440\) | 35.5125i | 1.69299i | ||||||||
\(441\) | −1.00000 | −0.0476190 | ||||||||
\(442\) | −16.3127 | − | 7.35026i | −0.775914 | − | 0.349616i | ||||
\(443\) | −8.23743 | −0.391372 | −0.195686 | − | 0.980667i | \(-0.562693\pi\) | ||||
−0.195686 | + | 0.980667i | \(0.562693\pi\) | |||||||
\(444\) | − | 0.312650i | − | 0.0148377i | ||||||
\(445\) | 3.87399 | 0.183645 | ||||||||
\(446\) | 23.9394 | 1.13356 | ||||||||
\(447\) | 13.3806i | 0.632880i | ||||||||
\(448\) | − | 7.08110i | − | 0.334551i | ||||||
\(449\) | 2.40834i | 0.113657i | 0.998384 | + | 0.0568283i | \(0.0180988\pi\) | ||||
−0.998384 | + | 0.0568283i | \(0.981901\pi\) | |||||||
\(450\) | 18.1817i | 0.857094i | ||||||||
\(451\) | 4.64974 | 0.218948 | ||||||||
\(452\) | 0.761158 | 0.0358019 | ||||||||
\(453\) | − | 15.8496i | − | 0.744677i | ||||||
\(454\) | 40.3547 | 1.89394 | ||||||||
\(455\) | −6.15633 | + | 13.6629i | −0.288613 | + | 0.640527i | ||||
\(456\) | −6.38787 | −0.299140 | ||||||||
\(457\) | 29.5633i | 1.38291i | 0.722419 | + | 0.691455i | \(0.243030\pi\) | ||||
−0.722419 | + | 0.691455i | \(0.756970\pi\) | |||||||
\(458\) | 28.9018 | 1.35049 | ||||||||
\(459\) | 3.35026 | 0.156377 | ||||||||
\(460\) | − | 0.312650i | − | 0.0145774i | ||||||
\(461\) | − | 33.7196i | − | 1.57048i | −0.619193 | − | 0.785239i | \(-0.712540\pi\) | ||
0.619193 | − | 0.785239i | \(-0.287460\pi\) | |||||||
\(462\) | 4.73084i | 0.220099i | ||||||||
\(463\) | 16.8364i | 0.782453i | 0.920294 | + | 0.391226i | \(0.127949\pi\) | ||||
−0.920294 | + | 0.391226i | \(0.872051\pi\) | |||||||
\(464\) | 34.4749 | 1.60045 | ||||||||
\(465\) | 44.4749 | 2.06247 | ||||||||
\(466\) | 32.3634i | 1.49921i | ||||||||
\(467\) | −22.7005 | −1.05045 | −0.525227 | − | 0.850962i | \(-0.676020\pi\) | ||||
−0.525227 | + | 0.850962i | \(0.676020\pi\) | |||||||
\(468\) | −0.287258 | + | 0.637519i | −0.0132785 | + | 0.0294693i | ||||
\(469\) | 5.61213 | 0.259144 | ||||||||
\(470\) | 23.1998i | 1.07013i | ||||||||
\(471\) | −12.7005 | −0.585209 | ||||||||
\(472\) | 16.4690 | 0.758046 | ||||||||
\(473\) | 6.14762i | 0.282668i | ||||||||
\(474\) | 13.2750i | 0.609743i | ||||||||
\(475\) | 29.3112i | 1.34489i | ||||||||
\(476\) | − | 0.649738i | − | 0.0297807i | ||||||
\(477\) | −6.00000 | −0.274721 | ||||||||
\(478\) | −12.5804 | −0.575414 | ||||||||
\(479\) | − | 10.0957i | − | 0.461284i | −0.973039 | − | 0.230642i | \(-0.925917\pi\) | ||
0.973039 | − | 0.230642i | \(-0.0740826\pi\) | |||||||
\(480\) | −4.54420 | −0.207413 | ||||||||
\(481\) | 5.29948 | + | 2.38787i | 0.241635 | + | 0.108878i | ||||
\(482\) | 8.12601 | 0.370130 | ||||||||
\(483\) | 0.387873i | 0.0176488i | ||||||||
\(484\) | −0.154911 | −0.00704139 | ||||||||
\(485\) | −13.9248 | −0.632292 | ||||||||
\(486\) | − | 1.48119i | − | 0.0671883i | ||||||
\(487\) | 9.40105i | 0.426002i | 0.977052 | + | 0.213001i | \(0.0683238\pi\) | ||||
−0.977052 | + | 0.213001i | \(0.931676\pi\) | |||||||
\(488\) | − | 38.6253i | − | 1.74849i | ||||||
\(489\) | 9.61213i | 0.434675i | ||||||||
\(490\) | −6.15633 | −0.278114 | ||||||||
\(491\) | 20.7612 | 0.936938 | 0.468469 | − | 0.883480i | \(-0.344806\pi\) | ||||
0.468469 | + | 0.883480i | \(0.344806\pi\) | |||||||
\(492\) | 0.282333i | 0.0127286i | ||||||||
\(493\) | −26.5501 | −1.19576 | ||||||||
\(494\) | −5.23884 | + | 11.6267i | −0.235707 | + | 0.523111i | ||||
\(495\) | −13.2750 | −0.596669 | ||||||||
\(496\) | 46.5501i | 2.09016i | ||||||||
\(497\) | 11.8192 | 0.530165 | ||||||||
\(498\) | −10.3576 | −0.464133 | ||||||||
\(499\) | − | 22.9525i | − | 1.02750i | −0.857941 | − | 0.513748i | \(-0.828256\pi\) | ||
0.857941 | − | 0.513748i | \(-0.171744\pi\) | |||||||
\(500\) | 5.86414i | 0.262252i | ||||||||
\(501\) | − | 12.0811i | − | 0.539744i | ||||||
\(502\) | − | 9.55149i | − | 0.426304i | ||||||
\(503\) | −34.9234 | −1.55716 | −0.778578 | − | 0.627548i | \(-0.784059\pi\) | ||||
−0.778578 | + | 0.627548i | \(0.784059\pi\) | |||||||
\(504\) | 2.67513 | 0.119160 | ||||||||
\(505\) | − | 58.3996i | − | 2.59875i | ||||||
\(506\) | 1.83497 | 0.0815742 | ||||||||
\(507\) | −8.61213 | − | 9.73813i | −0.382478 | − | 0.432486i | ||||
\(508\) | 0.186642 | 0.00828091 | ||||||||
\(509\) | 19.2301i | 0.852361i | 0.904638 | + | 0.426180i | \(0.140141\pi\) | ||||
−0.904638 | + | 0.426180i | \(0.859859\pi\) | |||||||
\(510\) | 20.6253 | 0.913304 | ||||||||
\(511\) | −15.6629 | −0.692886 | ||||||||
\(512\) | 18.5188i | 0.818423i | ||||||||
\(513\) | − | 2.38787i | − | 0.105427i | ||||||
\(514\) | − | 14.6643i | − | 0.646816i | ||||||
\(515\) | 5.92478i | 0.261077i | ||||||||
\(516\) | −0.373285 | −0.0164329 | ||||||||
\(517\) | −12.0362 | −0.529351 | ||||||||
\(518\) | 2.38787i | 0.104917i | ||||||||
\(519\) | −9.27504 | −0.407129 | ||||||||
\(520\) | 16.4690 | − | 36.5501i | 0.722212 | − | 1.60283i | ||||
\(521\) | 21.5271 | 0.943117 | 0.471559 | − | 0.881835i | \(-0.343692\pi\) | ||||
0.471559 | + | 0.881835i | \(0.343692\pi\) | |||||||
\(522\) | 11.7381i | 0.513764i | ||||||||
\(523\) | 39.6747 | 1.73485 | 0.867426 | − | 0.497566i | \(-0.165773\pi\) | ||||
0.867426 | + | 0.497566i | \(0.165773\pi\) | |||||||
\(524\) | −3.32582 | −0.145289 | ||||||||
\(525\) | − | 12.2750i | − | 0.535727i | ||||||
\(526\) | − | 5.12742i | − | 0.223566i | ||||||
\(527\) | − | 35.8496i | − | 1.56163i | ||||||
\(528\) | − | 13.8945i | − | 0.604679i | ||||||
\(529\) | −22.8496 | −0.993459 | ||||||||
\(530\) | −36.9380 | −1.60448 | ||||||||
\(531\) | 6.15633i | 0.267162i | ||||||||
\(532\) | −0.463096 | −0.0200778 | ||||||||
\(533\) | −4.78560 | − | 2.15633i | −0.207287 | − | 0.0934008i | ||||
\(534\) | −1.38058 | −0.0597435 | ||||||||
\(535\) | 39.6385i | 1.71372i | ||||||||
\(536\) | −15.0132 | −0.648470 | ||||||||
\(537\) | −5.01317 | −0.216334 | ||||||||
\(538\) | − | 24.8119i | − | 1.06972i | ||||||
\(539\) | − | 3.19394i | − | 0.137573i | ||||||
\(540\) | − | 0.806063i | − | 0.0346874i | ||||||
\(541\) | − | 10.0263i | − | 0.431066i | −0.976497 | − | 0.215533i | \(-0.930851\pi\) | ||
0.976497 | − | 0.215533i | \(-0.0691489\pi\) | |||||||
\(542\) | −9.46168 | −0.406414 | ||||||||
\(543\) | −13.8496 | −0.594341 | ||||||||
\(544\) | 3.66291i | 0.157046i | ||||||||
\(545\) | −25.9248 | −1.11050 | ||||||||
\(546\) | 2.19394 | − | 4.86907i | 0.0938918 | − | 0.208377i | ||||
\(547\) | −26.4485 | −1.13086 | −0.565428 | − | 0.824797i | \(-0.691289\pi\) | ||||
−0.565428 | + | 0.824797i | \(0.691289\pi\) | |||||||
\(548\) | 0.941921i | 0.0402369i | ||||||||
\(549\) | 14.4387 | 0.616227 | ||||||||
\(550\) | −58.0713 | −2.47617 | ||||||||
\(551\) | 18.9234i | 0.806162i | ||||||||
\(552\) | − | 1.03761i | − | 0.0441637i | ||||||
\(553\) | − | 8.96239i | − | 0.381120i | ||||||
\(554\) | − | 18.0362i | − | 0.766285i | ||||||
\(555\) | −6.70052 | −0.284421 | ||||||||
\(556\) | −0.499293 | −0.0211747 | ||||||||
\(557\) | 5.84367i | 0.247604i | 0.992307 | + | 0.123802i | \(0.0395088\pi\) | ||||
−0.992307 | + | 0.123802i | \(0.960491\pi\) | |||||||
\(558\) | −15.8496 | −0.670965 | ||||||||
\(559\) | 2.85097 | − | 6.32724i | 0.120583 | − | 0.267614i | ||||
\(560\) | 18.0811 | 0.764066 | ||||||||
\(561\) | 10.7005i | 0.451776i | ||||||||
\(562\) | −40.4445 | −1.70605 | ||||||||
\(563\) | 1.25060 | 0.0527066 | 0.0263533 | − | 0.999653i | \(-0.491611\pi\) | ||||
0.0263533 | + | 0.999653i | \(0.491611\pi\) | |||||||
\(564\) | − | 0.730841i | − | 0.0307739i | ||||||
\(565\) | − | 16.3127i | − | 0.686278i | ||||||
\(566\) | − | 40.1016i | − | 1.68559i | ||||||
\(567\) | 1.00000i | 0.0419961i | ||||||||
\(568\) | −31.6180 | −1.32666 | ||||||||
\(569\) | −38.2228 | −1.60238 | −0.801192 | − | 0.598407i | \(-0.795801\pi\) | ||||
−0.801192 | + | 0.598407i | \(0.795801\pi\) | |||||||
\(570\) | − | 14.7005i | − | 0.615737i | ||||||
\(571\) | −9.73813 | −0.407528 | −0.203764 | − | 0.979020i | \(-0.565318\pi\) | ||||
−0.203764 | + | 0.979020i | \(0.565318\pi\) | |||||||
\(572\) | −2.03620 | − | 0.917483i | −0.0851377 | − | 0.0383619i | ||||
\(573\) | −18.5647 | −0.775550 | ||||||||
\(574\) | − | 2.15633i | − | 0.0900033i | ||||||
\(575\) | −4.76116 | −0.198554 | ||||||||
\(576\) | −7.08110 | −0.295046 | ||||||||
\(577\) | − | 3.87399i | − | 0.161276i | −0.996743 | − | 0.0806382i | \(-0.974304\pi\) | ||
0.996743 | − | 0.0806382i | \(-0.0256958\pi\) | |||||||
\(578\) | 8.55500i | 0.355841i | ||||||||
\(579\) | 13.0884i | 0.543935i | ||||||||
\(580\) | 6.38787i | 0.265242i | ||||||||
\(581\) | 6.99271 | 0.290106 | ||||||||
\(582\) | 4.96239 | 0.205698 | ||||||||
\(583\) | − | 19.1636i | − | 0.793676i | ||||||
\(584\) | 41.9003 | 1.73385 | ||||||||
\(585\) | 13.6629 | + | 6.15633i | 0.564892 | + | 0.254533i | ||||
\(586\) | 24.8568 | 1.02683 | ||||||||
\(587\) | − | 11.2447i | − | 0.464119i | −0.972702 | − | 0.232060i | \(-0.925454\pi\) | ||
0.972702 | − | 0.232060i | \(-0.0745465\pi\) | |||||||
\(588\) | 0.193937 | 0.00799781 | ||||||||
\(589\) | −25.5515 | −1.05283 | ||||||||
\(590\) | 37.9003i | 1.56033i | ||||||||
\(591\) | 7.24472i | 0.298008i | ||||||||
\(592\) | − | 7.01317i | − | 0.288240i | ||||||
\(593\) | 28.7210i | 1.17943i | 0.807612 | + | 0.589715i | \(0.200760\pi\) | ||||
−0.807612 | + | 0.589715i | \(0.799240\pi\) | |||||||
\(594\) | 4.73084 | 0.194109 | ||||||||
\(595\) | −13.9248 | −0.570860 | ||||||||
\(596\) | − | 2.59498i | − | 0.106295i | ||||||
\(597\) | 8.62530 | 0.353010 | ||||||||
\(598\) | −1.88858 | − | 0.850969i | −0.0772298 | − | 0.0347987i | ||||
\(599\) | −21.1344 | −0.863530 | −0.431765 | − | 0.901986i | \(-0.642109\pi\) | ||||
−0.431765 | + | 0.901986i | \(0.642109\pi\) | |||||||
\(600\) | 32.8373i | 1.34058i | ||||||||
\(601\) | 18.9135 | 0.771498 | 0.385749 | − | 0.922604i | \(-0.373943\pi\) | ||||
0.385749 | + | 0.922604i | \(0.373943\pi\) | |||||||
\(602\) | 2.85097 | 0.116197 | ||||||||
\(603\) | − | 5.61213i | − | 0.228543i | ||||||
\(604\) | 3.07381i | 0.125071i | ||||||||
\(605\) | 3.31994i | 0.134975i | ||||||||
\(606\) | 20.8119i | 0.845427i | ||||||||
\(607\) | −41.1246 | −1.66920 | −0.834598 | − | 0.550860i | \(-0.814300\pi\) | ||||
−0.834598 | + | 0.550860i | \(0.814300\pi\) | |||||||
\(608\) | 2.61071 | 0.105878 | ||||||||
\(609\) | − | 7.92478i | − | 0.321128i | ||||||
\(610\) | 88.8891 | 3.59901 | ||||||||
\(611\) | 12.3879 | + | 5.58181i | 0.501160 | + | 0.225816i | ||||
\(612\) | −0.649738 | −0.0262641 | ||||||||
\(613\) | − | 23.3258i | − | 0.942121i | −0.882101 | − | 0.471061i | \(-0.843871\pi\) | ||
0.882101 | − | 0.471061i | \(-0.156129\pi\) | |||||||
\(614\) | 25.6239 | 1.03410 | ||||||||
\(615\) | 6.05079 | 0.243991 | ||||||||
\(616\) | 8.54420i | 0.344256i | ||||||||
\(617\) | 17.7830i | 0.715918i | 0.933737 | + | 0.357959i | \(0.116527\pi\) | ||||
−0.933737 | + | 0.357959i | \(0.883473\pi\) | |||||||
\(618\) | − | 2.11142i | − | 0.0849338i | ||||||
\(619\) | − | 8.93795i | − | 0.359247i | −0.983735 | − | 0.179623i | \(-0.942512\pi\) | ||
0.983735 | − | 0.179623i | \(-0.0574879\pi\) | |||||||
\(620\) | −8.62530 | −0.346400 | ||||||||
\(621\) | 0.387873 | 0.0155648 | ||||||||
\(622\) | − | 25.4010i | − | 1.01849i | ||||||
\(623\) | 0.932071 | 0.0373427 | ||||||||
\(624\) | −6.44358 | + | 14.3004i | −0.257950 | + | 0.572475i | ||||
\(625\) | 64.3014 | 2.57206 | ||||||||
\(626\) | 16.0146i | 0.640072i | ||||||||
\(627\) | 7.62672 | 0.304582 | ||||||||
\(628\) | 2.46310 | 0.0982882 | ||||||||
\(629\) | 5.40105i | 0.215354i | ||||||||
\(630\) | 6.15633i | 0.245274i | ||||||||
\(631\) | 32.2638i | 1.28440i | 0.766537 | + | 0.642200i | \(0.221978\pi\) | ||||
−0.766537 | + | 0.642200i | \(0.778022\pi\) | |||||||
\(632\) | 23.9756i | 0.953697i | ||||||||
\(633\) | 18.8872 | 0.750697 | ||||||||
\(634\) | −20.9683 | −0.832756 | ||||||||
\(635\) | − | 4.00000i | − | 0.158735i | ||||||
\(636\) | 1.16362 | 0.0461405 | ||||||||
\(637\) | −1.48119 | + | 3.28726i | −0.0586871 | + | 0.130246i | ||||
\(638\) | −37.4909 | −1.48428 | ||||||||
\(639\) | − | 11.8192i | − | 0.467562i | ||||||
\(640\) | −52.6820 | −2.08244 | ||||||||
\(641\) | −49.4274 | −1.95226 | −0.976132 | − | 0.217176i | \(-0.930315\pi\) | ||||
−0.976132 | + | 0.217176i | \(0.930315\pi\) | |||||||
\(642\) | − | 14.1260i | − | 0.557509i | ||||||
\(643\) | − | 6.07522i | − | 0.239583i | −0.992799 | − | 0.119792i | \(-0.961777\pi\) | ||
0.992799 | − | 0.119792i | \(-0.0382227\pi\) | |||||||
\(644\) | − | 0.0752228i | − | 0.00296419i | ||||||
\(645\) | 8.00000i | 0.315000i | ||||||||
\(646\) | −11.8496 | −0.466214 | ||||||||
\(647\) | −12.9986 | −0.511027 | −0.255514 | − | 0.966805i | \(-0.582245\pi\) | ||||
−0.255514 | + | 0.966805i | \(0.582245\pi\) | |||||||
\(648\) | − | 2.67513i | − | 0.105089i | ||||||
\(649\) | −19.6629 | −0.771837 | ||||||||
\(650\) | 59.7680 | + | 26.9307i | 2.34429 | + | 1.05631i | ||||
\(651\) | 10.7005 | 0.419387 | ||||||||
\(652\) | − | 1.86414i | − | 0.0730055i | ||||||
\(653\) | 15.4010 | 0.602690 | 0.301345 | − | 0.953515i | \(-0.402564\pi\) | ||||
0.301345 | + | 0.953515i | \(0.402564\pi\) | |||||||
\(654\) | 9.23884 | 0.361267 | ||||||||
\(655\) | 71.2769i | 2.78502i | ||||||||
\(656\) | 6.33312i | 0.247267i | ||||||||
\(657\) | 15.6629i | 0.611068i | ||||||||
\(658\) | 5.58181i | 0.217602i | ||||||||
\(659\) | 8.76116 | 0.341286 | 0.170643 | − | 0.985333i | \(-0.445415\pi\) | ||||
0.170643 | + | 0.985333i | \(0.445415\pi\) | |||||||
\(660\) | 2.57452 | 0.100213 | ||||||||
\(661\) | 33.4372i | 1.30056i | 0.759695 | + | 0.650279i | \(0.225348\pi\) | ||||
−0.759695 | + | 0.650279i | \(0.774652\pi\) | |||||||
\(662\) | 25.5515 | 0.993087 | ||||||||
\(663\) | 4.96239 | − | 11.0132i | 0.192723 | − | 0.427716i | ||||
\(664\) | −18.7064 | −0.725949 | ||||||||
\(665\) | 9.92478i | 0.384866i | ||||||||
\(666\) | 2.38787 | 0.0925282 | ||||||||
\(667\) | −3.07381 | −0.119018 | ||||||||
\(668\) | 2.34297i | 0.0906521i | ||||||||
\(669\) | 16.1622i | 0.624867i | ||||||||
\(670\) | − | 34.5501i | − | 1.33479i | ||||||
\(671\) | 46.1162i | 1.78029i | ||||||||
\(672\) | −1.09332 | −0.0421758 | ||||||||
\(673\) | −0.176793 | −0.00681488 | −0.00340744 | − | 0.999994i | \(-0.501085\pi\) | ||||
−0.00340744 | + | 0.999994i | \(0.501085\pi\) | |||||||
\(674\) | 8.85097i | 0.340927i | ||||||||
\(675\) | −12.2750 | −0.472466 | ||||||||
\(676\) | 1.67021 | + | 1.88858i | 0.0642387 | + | 0.0726377i | ||||
\(677\) | −5.67750 | −0.218204 | −0.109102 | − | 0.994031i | \(-0.534798\pi\) | ||||
−0.109102 | + | 0.994031i | \(0.534798\pi\) | |||||||
\(678\) | 5.81336i | 0.223261i | ||||||||
\(679\) | −3.35026 | −0.128571 | ||||||||
\(680\) | 37.2506 | 1.42850 | ||||||||
\(681\) | 27.2447i | 1.04402i | ||||||||
\(682\) | − | 50.6225i | − | 1.93843i | ||||||
\(683\) | − | 50.4299i | − | 1.92965i | −0.262896 | − | 0.964824i | \(-0.584678\pi\) | ||
0.262896 | − | 0.964824i | \(-0.415322\pi\) | |||||||
\(684\) | 0.463096i | 0.0177069i | ||||||||
\(685\) | 20.1866 | 0.771292 | ||||||||
\(686\) | −1.48119 | −0.0565523 | ||||||||
\(687\) | 19.5125i | 0.744447i | ||||||||
\(688\) | −8.37328 | −0.319228 | ||||||||
\(689\) | −8.88717 | + | 19.7235i | −0.338574 | + | 0.751407i | ||||
\(690\) | 2.38787 | 0.0909048 | ||||||||
\(691\) | − | 41.5633i | − | 1.58114i | −0.612371 | − | 0.790570i | \(-0.709784\pi\) | ||
0.612371 | − | 0.790570i | \(-0.290216\pi\) | |||||||
\(692\) | 1.79877 | 0.0683789 | ||||||||
\(693\) | −3.19394 | −0.121328 | ||||||||
\(694\) | − | 38.1984i | − | 1.44999i | ||||||
\(695\) | 10.7005i | 0.405894i | ||||||||
\(696\) | 21.1998i | 0.803577i | ||||||||
\(697\) | − | 4.87732i | − | 0.184742i | ||||||
\(698\) | 19.1998 | 0.726724 | ||||||||
\(699\) | −21.8496 | −0.826426 | ||||||||
\(700\) | 2.38058i | 0.0899774i | ||||||||
\(701\) | −2.47486 | −0.0934740 | −0.0467370 | − | 0.998907i | \(-0.514882\pi\) | ||||
−0.0467370 | + | 0.998907i | \(0.514882\pi\) | |||||||
\(702\) | −4.86907 | − | 2.19394i | −0.183771 | − | 0.0828048i | ||||
\(703\) | 3.84955 | 0.145189 | ||||||||
\(704\) | − | 22.6166i | − | 0.852395i | ||||||
\(705\) | −15.6629 | −0.589899 | ||||||||
\(706\) | −5.60342 | −0.210887 | ||||||||
\(707\) | − | 14.0508i | − | 0.528434i | ||||||
\(708\) | − | 1.19394i | − | 0.0448709i | ||||||
\(709\) | 7.91019i | 0.297073i | 0.988907 | + | 0.148537i | \(0.0474563\pi\) | ||||
−0.988907 | + | 0.148537i | \(0.952544\pi\) | |||||||
\(710\) | − | 72.7631i | − | 2.73075i | ||||||
\(711\) | −8.96239 | −0.336116 | ||||||||
\(712\) | −2.49341 | −0.0934446 | ||||||||
\(713\) | − | 4.15045i | − | 0.155435i | ||||||
\(714\) | 4.96239 | 0.185713 | ||||||||
\(715\) | −19.6629 | + | 43.6385i | −0.735351 | + | 1.63199i | ||||
\(716\) | 0.972238 | 0.0363342 | ||||||||
\(717\) | − | 8.49341i | − | 0.317192i | ||||||
\(718\) | 15.8046 | 0.589824 | ||||||||
\(719\) | 26.5501 | 0.990151 | 0.495075 | − | 0.868850i | \(-0.335140\pi\) | ||||
0.495075 | + | 0.868850i | \(0.335140\pi\) | |||||||
\(720\) | − | 18.0811i | − | 0.673843i | ||||||
\(721\) | 1.42548i | 0.0530878i | ||||||||
\(722\) | − | 19.6970i | − | 0.733047i | ||||||
\(723\) | 5.48612i | 0.204031i | ||||||||
\(724\) | 2.68594 | 0.0998220 | ||||||||
\(725\) | 97.2769 | 3.61278 | ||||||||
\(726\) | − | 1.18313i | − | 0.0439102i | ||||||
\(727\) | −6.44851 | −0.239162 | −0.119581 | − | 0.992824i | \(-0.538155\pi\) | ||||
−0.119581 | + | 0.992824i | \(0.538155\pi\) | |||||||
\(728\) | 3.96239 | − | 8.79384i | 0.146856 | − | 0.325922i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 96.4260i | 3.56889i | ||||||||
\(731\) | 6.44851 | 0.238507 | ||||||||
\(732\) | −2.80018 | −0.103498 | ||||||||
\(733\) | − | 28.8119i | − | 1.06419i | −0.846684 | − | 0.532097i | \(-0.821404\pi\) | ||
0.846684 | − | 0.532097i | \(-0.178596\pi\) | |||||||
\(734\) | − | 10.1114i | − | 0.373219i | ||||||
\(735\) | − | 4.15633i | − | 0.153308i | ||||||
\(736\) | 0.424070i | 0.0156314i | ||||||||
\(737\) | 17.9248 | 0.660268 | ||||||||
\(738\) | −2.15633 | −0.0793754 | ||||||||
\(739\) | − | 29.6121i | − | 1.08930i | −0.838664 | − | 0.544650i | \(-0.816663\pi\) | ||
0.838664 | − | 0.544650i | \(-0.183337\pi\) | |||||||
\(740\) | 1.29948 | 0.0477697 | ||||||||
\(741\) | −7.84955 | − | 3.53690i | −0.288361 | − | 0.129931i | ||||
\(742\) | −8.88717 | −0.326258 | ||||||||
\(743\) | 3.77830i | 0.138612i | 0.997595 | + | 0.0693062i | \(0.0220786\pi\) | ||||
−0.997595 | + | 0.0693062i | \(0.977921\pi\) | |||||||
\(744\) | −28.6253 | −1.04945 | ||||||||
\(745\) | −55.6140 | −2.03754 | ||||||||
\(746\) | − | 24.5501i | − | 0.898842i | ||||||
\(747\) | − | 6.99271i | − | 0.255850i | ||||||
\(748\) | − | 2.07522i | − | 0.0758777i | ||||||
\(749\) | 9.53690i | 0.348471i | ||||||||
\(750\) | −44.7875 | −1.63541 | ||||||||
\(751\) | −10.0752 | −0.367650 | −0.183825 | − | 0.982959i | \(-0.558848\pi\) | ||||
−0.183825 | + | 0.982959i | \(0.558848\pi\) | |||||||
\(752\) | − | 16.3938i | − | 0.597819i | ||||||
\(753\) | 6.44851 | 0.234997 | ||||||||
\(754\) | 38.5863 | + | 17.3865i | 1.40523 | + | 0.633177i | ||||
\(755\) | 65.8759 | 2.39747 | ||||||||
\(756\) | − | 0.193937i | − | 0.00705340i | ||||||
\(757\) | 39.4979 | 1.43557 | 0.717787 | − | 0.696262i | \(-0.245155\pi\) | ||||
0.717787 | + | 0.696262i | \(0.245155\pi\) | |||||||
\(758\) | −28.2520 | −1.02616 | ||||||||
\(759\) | 1.23884i | 0.0449671i | ||||||||
\(760\) | − | 26.5501i | − | 0.963073i | ||||||
\(761\) | − | 25.7685i | − | 0.934106i | −0.884229 | − | 0.467053i | \(-0.845316\pi\) | ||
0.884229 | − | 0.467053i | \(-0.154684\pi\) | |||||||
\(762\) | 1.42548i | 0.0516399i | ||||||||
\(763\) | −6.23743 | −0.225810 | ||||||||
\(764\) | 3.60037 | 0.130257 | ||||||||
\(765\) | 13.9248i | 0.503451i | ||||||||
\(766\) | 12.2823 | 0.443779 | ||||||||
\(767\) | 20.2374 | + | 9.11871i | 0.730731 | + | 0.329258i | ||||
\(768\) | 4.61213 | 0.166426 | ||||||||
\(769\) | − | 49.4372i | − | 1.78275i | −0.453264 | − | 0.891376i | \(-0.649741\pi\) | ||
0.453264 | − | 0.891376i | \(-0.350259\pi\) | |||||||
\(770\) | −19.6629 | −0.708602 | ||||||||
\(771\) | 9.90034 | 0.356552 | ||||||||
\(772\) | − | 2.53832i | − | 0.0913561i | ||||||
\(773\) | 15.2184i | 0.547367i | 0.961820 | + | 0.273683i | \(0.0882421\pi\) | ||||
−0.961820 | + | 0.273683i | \(0.911758\pi\) | |||||||
\(774\) | − | 2.85097i | − | 0.102476i | ||||||
\(775\) | 131.349i | 4.71821i | ||||||||
\(776\) | 8.96239 | 0.321731 | ||||||||
\(777\) | −1.61213 | −0.0578347 | ||||||||
\(778\) | − | 1.03761i | − | 0.0372002i | ||||||
\(779\) | −3.47627 | −0.124550 | ||||||||
\(780\) | −2.64974 | − | 1.19394i | −0.0948758 | − | 0.0427498i | ||||
\(781\) | 37.7499 | 1.35080 | ||||||||
\(782\) | − | 1.92478i | − | 0.0688299i | ||||||
\(783\) | −7.92478 | −0.283208 | ||||||||
\(784\) | 4.35026 | 0.155366 | ||||||||
\(785\) | − | 52.7875i |