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 | 64.5 | ||
Root | \(0.403032 + 0.403032i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 273.64 |
Dual form | 273.2.c.b.64.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
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 | \(0.175442\pi\) | ||||
−0.851914 | + | 0.523681i | \(0.824558\pi\) | |||||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | −0.193937 | −0.0969683 | ||||||||
\(5\) | − | 4.15633i | − | 1.85877i | −0.369118 | − | 0.929383i | \(-0.620340\pi\) | ||
0.369118 | − | 0.929383i | \(-0.379660\pi\) | |||||||
\(6\) | 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 | \(-0.840091\pi\) | ||
0.876444 | − | 0.481504i | \(-0.159909\pi\) | |||||||
\(12\) | −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 | \(0.0883163\pi\) | ||||
−0.961756 | + | 0.273908i | \(0.911684\pi\) | |||||||
\(20\) | 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 | \(0.410735\pi\) | ||||
−0.276773 | + | 0.960935i | \(0.589265\pi\) | |||||||
\(32\) | − | 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 | \(-0.957694\pi\) | ||
0.991181 | − | 0.132516i | \(-0.0423056\pi\) | |||||||
\(38\) | −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 | \(0.0362635\pi\) | ||||
−0.993518 | + | 0.113679i | \(0.963736\pi\) | |||||||
\(42\) | 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 | \(-0.911374\pi\) | ||
0.961489 | − | 0.274843i | \(-0.0886258\pi\) | |||||||
\(48\) | −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 | \(-0.868752\pi\) | ||
0.916191 | − | 0.400743i | \(-0.131248\pi\) | |||||||
\(60\) | 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 | \(0.111380\pi\) | ||||
−0.939403 | + | 0.342815i | \(0.888620\pi\) | |||||||
\(68\) | −0.649738 | −0.0787923 | ||||||||
\(69\) | 0.387873 | 0.0466944 | ||||||||
\(70\) | − | 6.15633i | − | 0.735822i | ||||||
\(71\) | 11.8192i | 1.40269i | 0.712824 | + | 0.701343i | \(0.247416\pi\) | ||||
−0.712824 | + | 0.701343i | \(0.752584\pi\) | |||||||
\(72\) | 2.67513i | 0.315267i | ||||||||
\(73\) | − | 15.6629i | − | 1.83321i | −0.399800 | − | 0.916603i | \(-0.630920\pi\) | ||
0.399800 | − | 0.916603i | \(-0.369080\pi\) | |||||||
\(74\) | 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 | \(0.125376\pi\) | ||||
−0.923427 | + | 0.383775i | \(0.874624\pi\) | |||||||
\(84\) | 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 | \(0.0157308\pi\) | ||||
−0.998779 | + | 0.0493997i | \(0.984269\pi\) | |||||||
\(90\) | 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 | \(-0.945596\pi\) | ||
0.985430 | − | 0.170084i | \(-0.0544038\pi\) | |||||||
\(98\) | − | 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 | \(-0.903441\pi\) | ||
0.954341 | − | 0.298719i | \(-0.0965592\pi\) | |||||||
\(110\) | − | 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 | \(0.0665243\pi\) | ||||
−0.978240 | + | 0.207474i | \(0.933476\pi\) | |||||||
\(138\) | 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 | \(-0.815355\pi\) | ||
0.836419 | − | 0.548090i | \(-0.184645\pi\) | |||||||
\(150\) | − | 18.1817i | − | 1.48453i | ||||||
\(151\) | 15.8496i | 1.28982i | 0.764259 | + | 0.644909i | \(0.223105\pi\) | ||||
−0.764259 | + | 0.644909i | \(0.776895\pi\) | |||||||
\(152\) | −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 | \(-0.877148\pi\) | ||
0.926441 | − | 0.376440i | \(-0.122852\pi\) | |||||||
\(164\) | − | 0.282333i | − | 0.0220465i | ||||||
\(165\) | −13.2750 | −1.03346 | ||||||||
\(166\) | −10.3576 | −0.803902 | ||||||||
\(167\) | 12.0811i | 0.934864i | 0.884029 | + | 0.467432i | \(0.154821\pi\) | ||||
−0.884029 | + | 0.467432i | \(0.845179\pi\) | |||||||
\(168\) | 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 | \(-0.843871\pi\) | ||
0.882100 | − | 0.471062i | \(-0.156129\pi\) | |||||||
\(194\) | 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 | \(-0.916909\pi\) | ||
0.966123 | − | 0.258083i | \(-0.0830906\pi\) | |||||||
\(198\) | 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 | \(-0.817989\pi\) | ||
0.840926 | − | 0.541151i | \(-0.182011\pi\) | |||||||
\(224\) | −1.09332 | −0.0730506 | ||||||||
\(225\) | −12.2750 | −0.818336 | ||||||||
\(226\) | − | 5.81336i | − | 0.386699i | ||||||
\(227\) | − | 27.2447i | − | 1.80830i | −0.427220 | − | 0.904148i | \(-0.640507\pi\) | ||
0.427220 | − | 0.904148i | \(-0.359493\pi\) | |||||||
\(228\) | − | 0.463096i | − | 0.0306693i | ||||||
\(229\) | − | 19.5125i | − | 1.28942i | −0.764427 | − | 0.644710i | \(-0.776978\pi\) | ||
0.764427 | − | 0.644710i | \(-0.223022\pi\) | |||||||
\(230\) | 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 | \(0.0885774\pi\) | ||||
−0.961531 | + | 0.274697i | \(0.911423\pi\) | |||||||
\(240\) | 18.0811i | 1.16713i | ||||||||
\(241\) | − | 5.48612i | − | 0.353392i | −0.984265 | − | 0.176696i | \(-0.943459\pi\) | ||
0.984265 | − | 0.176696i | \(-0.0565409\pi\) | |||||||
\(242\) | 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 | \(0.0621520\pi\) | ||||
−0.980998 | + | 0.194018i | \(0.937848\pi\) | |||||||
\(272\) | −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 | \(0.302961\pi\) | ||||
−0.580233 | + | 0.814450i | \(0.697039\pi\) | |||||||
\(282\) | 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 | \(-0.836925\pi\) | ||
0.871612 | − | 0.490197i | \(-0.163075\pi\) | |||||||
\(294\) | − | 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 | \(-0.835656\pi\) | ||
0.869651 | − | 0.493667i | \(-0.164344\pi\) | |||||||
\(308\) | 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 | \(0.130139\pi\) | ||||
−0.917581 | + | 0.397549i | \(0.869861\pi\) | |||||||
\(318\) | − | 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 | \(-0.842777\pi\) | ||
0.880477 | − | 0.474089i | \(-0.157223\pi\) | |||||||
\(332\) | − | 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 | \(-0.887224\pi\) | ||
0.937891 | − | 0.346930i | \(-0.112776\pi\) | |||||||
\(350\) | −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 | \(0.0321004\pi\) | ||||
−0.994919 | + | 0.100675i | \(0.967900\pi\) | |||||||
\(354\) | 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 | \(-0.909143\pi\) | ||
0.959539 | − | 0.281576i | \(-0.0908571\pi\) | |||||||
\(360\) | 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 | \(0.162959\pi\) | ||||
−0.871791 | + | 0.489878i | \(0.837041\pi\) | |||||||
\(380\) | −1.92478 | −0.0987390 | ||||||||
\(381\) | −0.962389 | −0.0493047 | ||||||||
\(382\) | − | 27.4979i | − | 1.40691i | ||||||
\(383\) | − | 8.29218i | − | 0.423711i | −0.977301 | − | 0.211855i | \(-0.932049\pi\) | ||
0.977301 | − | 0.211855i | \(-0.0679506\pi\) | |||||||
\(384\) | − | 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 | \(0.101555\pi\) | ||||
−0.949535 | + | 0.313661i | \(0.898445\pi\) | |||||||
\(398\) | 12.7757i | 0.640390i | ||||||||
\(399\) | 2.38787 | 0.119543 | ||||||||
\(400\) | 53.3996 | 2.66998 | ||||||||
\(401\) | − | 28.7064i | − | 1.43353i | −0.697315 | − | 0.716765i | \(-0.745622\pi\) | ||
0.697315 | − | 0.716765i | \(-0.254378\pi\) | |||||||
\(402\) | −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 | \(0.196873\pi\) | ||||
−0.814752 | + | 0.579809i | \(0.803127\pi\) | |||||||
\(410\) | 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 | \(-0.956806\pi\) | ||
0.990807 | − | 0.135282i | \(-0.0431939\pi\) | |||||||
\(422\) | 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 | \(0.0417577\pi\) | ||||
−0.991407 | + | 0.130810i | \(0.958242\pi\) | |||||||
\(432\) | −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 | \(-0.981901\pi\) | ||
0.998384 | − | 0.0568283i | \(-0.0180988\pi\) | |||||||
\(450\) | − | 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 | \(-0.756970\pi\) | ||
0.722419 | − | 0.691455i | \(-0.243030\pi\) | |||||||
\(458\) | 28.9018 | 1.35049 | ||||||||
\(459\) | 3.35026 | 0.156377 | ||||||||
\(460\) | 0.312650i | 0.0145774i | ||||||||
\(461\) | 33.7196i | 1.57048i | 0.619193 | + | 0.785239i | \(0.287460\pi\) | ||||
−0.619193 | + | 0.785239i | \(0.712540\pi\) | |||||||
\(462\) | − | 4.73084i | − | 0.220099i | ||||||
\(463\) | − | 16.8364i | − | 0.782453i | −0.920294 | − | 0.391226i | \(-0.872051\pi\) | ||
0.920294 | − | 0.391226i | \(-0.127949\pi\) | |||||||
\(464\) | 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 | \(0.0740826\pi\) | ||||
−0.973039 | + | 0.230642i | \(0.925917\pi\) | |||||||
\(480\) | −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 | \(-0.931676\pi\) | ||
0.977052 | − | 0.213001i | \(-0.0683238\pi\) | |||||||
\(488\) | 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 | \(0.171744\pi\) | ||||
−0.857941 | + | 0.513748i | \(0.828256\pi\) | |||||||
\(500\) | − | 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 | \(-0.859859\pi\) | ||
0.904638 | − | 0.426180i | \(-0.140141\pi\) | |||||||
\(510\) | 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 | \(0.0691489\pi\) | ||||
−0.976497 | + | 0.215533i | \(0.930851\pi\) | |||||||
\(542\) | −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 | \(-0.960491\pi\) | ||
0.992307 | − | 0.123802i | \(-0.0395088\pi\) | |||||||
\(558\) | −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 | \(0.0256958\pi\) | ||||
−0.996743 | + | 0.0806382i | \(0.974304\pi\) | |||||||
\(578\) | − | 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 | \(0.0745465\pi\) | ||||
−0.972702 | + | 0.232060i | \(0.925454\pi\) | |||||||
\(588\) | 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 | \(-0.799240\pi\) | ||
0.807612 | − | 0.589715i | \(-0.200760\pi\) | |||||||
\(594\) | 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 | \(0.156129\pi\) | ||||
−0.882101 | + | 0.471061i | \(0.843871\pi\) | |||||||
\(614\) | 25.6239 | 1.03410 | ||||||||
\(615\) | 6.05079 | 0.243991 | ||||||||
\(616\) | − | 8.54420i | − | 0.344256i | ||||||
\(617\) | − | 17.7830i | − | 0.715918i | −0.933737 | − | 0.357959i | \(-0.883473\pi\) | ||
0.933737 | − | 0.357959i | \(-0.116527\pi\) | |||||||
\(618\) | 2.11142i | 0.0849338i | ||||||||
\(619\) | 8.93795i | 0.359247i | 0.983735 | + | 0.179623i | \(0.0574879\pi\) | ||||
−0.983735 | + | 0.179623i | \(0.942512\pi\) | |||||||
\(620\) | −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 | \(-0.778022\pi\) | ||
0.766537 | − | 0.642200i | \(-0.221978\pi\) | |||||||
\(632\) | − | 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 | \(0.0382227\pi\) | ||||
−0.992799 | + | 0.119792i | \(0.961777\pi\) | |||||||
\(644\) | 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 | \(-0.774652\pi\) | ||
0.759695 | − | 0.650279i | \(-0.225348\pi\) | |||||||
\(662\) | 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 | \(0.415322\pi\) | ||||
−0.262896 | + | 0.964824i | \(0.584678\pi\) | |||||||
\(684\) | − | 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 | \(0.290216\pi\) | ||||
−0.612371 | + | 0.790570i | \(0.709784\pi\) | |||||||
\(692\) | 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 | \(-0.952544\pi\) | ||
0.988907 | − | 0.148537i | \(-0.0474563\pi\) | |||||||
\(710\) | 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 | \(0.178596\pi\) | ||||
−0.846684 | + | 0.532097i | \(0.821404\pi\) | |||||||
\(734\) | 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 | \(0.183337\pi\) | ||||
−0.838664 | + | 0.544650i | \(0.816663\pi\) | |||||||
\(740\) | 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 | \(-0.977921\pi\) | ||
0.997595 | − | 0.0693062i | \(-0.0220786\pi\) | |||||||
\(744\) | −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 | \(0.154684\pi\) | ||||
−0.884229 | + | 0.467053i | \(0.845316\pi\) | |||||||
\(762\) | − | 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 | \(0.350259\pi\) | ||||
−0.453264 | + | 0.891376i | \(0.649741\pi\) | |||||||
\(770\) | −19.6629 | −0.708602 | ||||||||
\(771\) | 9.90034 | 0.356552 | ||||||||
\(772\) | 2.53832i | 0.0913561i | ||||||||
\(773\) | − | 15.2184i | − | 0.547367i | −0.961820 | − | 0.273683i | \(-0.911758\pi\) | ||
0.961820 | − | 0.273683i | \(-0.0882421\pi\) | |||||||
\(774\) | 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 |