Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1155,2,Mod(76,1155)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1155, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1155.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1155.i (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: | \(9.22272143346\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 76.19 | ||
Character | \(\chi\) | \(=\) | 1155.76 |
Dual form | 1155.2.i.d.76.20 |
$q$-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 \(\left(\mathbb{Z}/1155\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(232\) | \(386\) | \(661\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.54704i | − | 1.09393i | −0.837157 | − | 0.546963i | \(-0.815784\pi\) | ||
0.837157 | − | 0.546963i | \(-0.184216\pi\) | |||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | −0.393347 | −0.196674 | ||||||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | 1.54704 | 0.631578 | ||||||||
\(7\) | 2.51711 | − | 0.814965i | 0.951377 | − | 0.308028i | ||||
\(8\) | − | 2.48556i | − | 0.878779i | ||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 1.54704 | 0.489218 | ||||||||
\(11\) | 1.71987 | + | 2.83585i | 0.518561 | + | 0.855041i | ||||
\(12\) | − | 0.393347i | − | 0.113550i | ||||||
\(13\) | 2.83183 | 0.785409 | 0.392705 | − | 0.919665i | \(-0.371540\pi\) | ||||
0.392705 | + | 0.919665i | \(0.371540\pi\) | |||||||
\(14\) | −1.26079 | − | 3.89408i | −0.336959 | − | 1.04074i | ||||
\(15\) | −1.00000 | −0.258199 | ||||||||
\(16\) | −4.63197 | −1.15799 | ||||||||
\(17\) | 1.11146 | 0.269568 | 0.134784 | − | 0.990875i | \(-0.456966\pi\) | ||||
0.134784 | + | 0.990875i | \(0.456966\pi\) | |||||||
\(18\) | 1.54704i | 0.364642i | ||||||||
\(19\) | 2.57562 | 0.590887 | 0.295444 | − | 0.955360i | \(-0.404533\pi\) | ||||
0.295444 | + | 0.955360i | \(0.404533\pi\) | |||||||
\(20\) | − | 0.393347i | − | 0.0879551i | ||||||
\(21\) | 0.814965 | + | 2.51711i | 0.177840 | + | 0.549278i | ||||
\(22\) | 4.38719 | − | 2.66072i | 0.935351 | − | 0.567267i | ||||
\(23\) | −4.41867 | −0.921356 | −0.460678 | − | 0.887567i | \(-0.652394\pi\) | ||||
−0.460678 | + | 0.887567i | \(0.652394\pi\) | |||||||
\(24\) | 2.48556 | 0.507364 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | − | 4.38097i | − | 0.859179i | ||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −0.990098 | + | 0.320564i | −0.187111 | + | 0.0605809i | ||||
\(29\) | 2.50888i | 0.465888i | 0.972490 | + | 0.232944i | \(0.0748358\pi\) | ||||
−0.972490 | + | 0.232944i | \(0.925164\pi\) | |||||||
\(30\) | 1.54704i | 0.282450i | ||||||||
\(31\) | 4.63764i | 0.832945i | 0.909148 | + | 0.416472i | \(0.136734\pi\) | ||||
−0.909148 | + | 0.416472i | \(0.863266\pi\) | |||||||
\(32\) | 2.19474i | 0.387979i | ||||||||
\(33\) | −2.83585 | + | 1.71987i | −0.493658 | + | 0.299391i | ||||
\(34\) | − | 1.71947i | − | 0.294887i | ||||||
\(35\) | 0.814965 | + | 2.51711i | 0.137754 | + | 0.425469i | ||||
\(36\) | 0.393347 | 0.0655579 | ||||||||
\(37\) | 3.30505 | 0.543347 | 0.271674 | − | 0.962389i | \(-0.412423\pi\) | ||||
0.271674 | + | 0.962389i | \(0.412423\pi\) | |||||||
\(38\) | − | 3.98459i | − | 0.646387i | ||||||
\(39\) | 2.83183i | 0.453456i | ||||||||
\(40\) | 2.48556 | 0.393002 | ||||||||
\(41\) | 4.46980 | 0.698065 | 0.349032 | − | 0.937111i | \(-0.386510\pi\) | ||||
0.349032 | + | 0.937111i | \(0.386510\pi\) | |||||||
\(42\) | 3.89408 | − | 1.26079i | 0.600869 | − | 0.194544i | ||||
\(43\) | − | 6.92036i | − | 1.05535i | −0.849448 | − | 0.527673i | \(-0.823065\pi\) | ||
0.849448 | − | 0.527673i | \(-0.176935\pi\) | |||||||
\(44\) | −0.676507 | − | 1.11547i | −0.101987 | − | 0.168164i | ||||
\(45\) | − | 1.00000i | − | 0.149071i | ||||||
\(46\) | 6.83588i | 1.00789i | ||||||||
\(47\) | 3.19790i | 0.466462i | 0.972421 | + | 0.233231i | \(0.0749298\pi\) | ||||
−0.972421 | + | 0.233231i | \(0.925070\pi\) | |||||||
\(48\) | − | 4.63197i | − | 0.668568i | ||||||
\(49\) | 5.67167 | − | 4.10271i | 0.810238 | − | 0.586101i | ||||
\(50\) | 1.54704i | 0.218785i | ||||||||
\(51\) | 1.11146i | 0.155635i | ||||||||
\(52\) | −1.11389 | −0.154469 | ||||||||
\(53\) | −3.06018 | −0.420348 | −0.210174 | − | 0.977664i | \(-0.567403\pi\) | ||||
−0.210174 | + | 0.977664i | \(0.567403\pi\) | |||||||
\(54\) | −1.54704 | −0.210526 | ||||||||
\(55\) | −2.83585 | + | 1.71987i | −0.382386 | + | 0.231907i | ||||
\(56\) | −2.02565 | − | 6.25643i | −0.270688 | − | 0.836051i | ||||
\(57\) | 2.57562i | 0.341149i | ||||||||
\(58\) | 3.88135 | 0.509646 | ||||||||
\(59\) | − | 4.55256i | − | 0.592693i | −0.955080 | − | 0.296347i | \(-0.904232\pi\) | ||
0.955080 | − | 0.296347i | \(-0.0957683\pi\) | |||||||
\(60\) | 0.393347 | 0.0507809 | ||||||||
\(61\) | 2.53745 | 0.324887 | 0.162443 | − | 0.986718i | \(-0.448063\pi\) | ||||
0.162443 | + | 0.986718i | \(0.448063\pi\) | |||||||
\(62\) | 7.17464 | 0.911180 | ||||||||
\(63\) | −2.51711 | + | 0.814965i | −0.317126 | + | 0.102676i | ||||
\(64\) | −5.86858 | −0.733573 | ||||||||
\(65\) | 2.83183i | 0.351246i | ||||||||
\(66\) | 2.66072 | + | 4.38719i | 0.327512 | + | 0.540025i | ||||
\(67\) | 14.7029 | 1.79624 | 0.898122 | − | 0.439746i | \(-0.144932\pi\) | ||||
0.898122 | + | 0.439746i | \(0.144932\pi\) | |||||||
\(68\) | −0.437189 | −0.0530169 | ||||||||
\(69\) | − | 4.41867i | − | 0.531945i | ||||||
\(70\) | 3.89408 | − | 1.26079i | 0.465431 | − | 0.150693i | ||||
\(71\) | −3.76969 | −0.447380 | −0.223690 | − | 0.974660i | \(-0.571810\pi\) | ||||
−0.223690 | + | 0.974660i | \(0.571810\pi\) | |||||||
\(72\) | 2.48556i | 0.292926i | ||||||||
\(73\) | 4.86845 | 0.569809 | 0.284904 | − | 0.958556i | \(-0.408038\pi\) | ||||
0.284904 | + | 0.958556i | \(0.408038\pi\) | |||||||
\(74\) | − | 5.11306i | − | 0.594381i | ||||||
\(75\) | − | 1.00000i | − | 0.115470i | ||||||
\(76\) | −1.01311 | −0.116212 | ||||||||
\(77\) | 6.64022 | + | 5.73651i | 0.756723 | + | 0.653736i | ||||
\(78\) | 4.38097 | 0.496047 | ||||||||
\(79\) | − | 4.77430i | − | 0.537151i | −0.963259 | − | 0.268575i | \(-0.913447\pi\) | ||
0.963259 | − | 0.268575i | \(-0.0865529\pi\) | |||||||
\(80\) | − | 4.63197i | − | 0.517870i | ||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 6.91498i | − | 0.763631i | ||||||
\(83\) | 14.3185 | 1.57166 | 0.785829 | − | 0.618444i | \(-0.212237\pi\) | ||||
0.785829 | + | 0.618444i | \(0.212237\pi\) | |||||||
\(84\) | −0.320564 | − | 0.990098i | −0.0349764 | − | 0.108029i | ||||
\(85\) | 1.11146i | 0.120554i | ||||||||
\(86\) | −10.7061 | −1.15447 | ||||||||
\(87\) | −2.50888 | −0.268980 | ||||||||
\(88\) | 7.04869 | − | 4.27485i | 0.751392 | − | 0.455700i | ||||
\(89\) | 0.588850i | 0.0624179i | 0.999513 | + | 0.0312090i | \(0.00993574\pi\) | ||||
−0.999513 | + | 0.0312090i | \(0.990064\pi\) | |||||||
\(90\) | −1.54704 | −0.163073 | ||||||||
\(91\) | 7.12803 | − | 2.30784i | 0.747220 | − | 0.241928i | ||||
\(92\) | 1.73807 | 0.181206 | ||||||||
\(93\) | −4.63764 | −0.480901 | ||||||||
\(94\) | 4.94729 | 0.510274 | ||||||||
\(95\) | 2.57562i | 0.264253i | ||||||||
\(96\) | −2.19474 | −0.224000 | ||||||||
\(97\) | 7.73585i | 0.785457i | 0.919655 | + | 0.392728i | \(0.128469\pi\) | ||||
−0.919655 | + | 0.392728i | \(0.871531\pi\) | |||||||
\(98\) | −6.34707 | − | 8.77432i | −0.641151 | − | 0.886340i | ||||
\(99\) | −1.71987 | − | 2.83585i | −0.172854 | − | 0.285014i | ||||
\(100\) | 0.393347 | 0.0393347 | ||||||||
\(101\) | −14.3930 | −1.43216 | −0.716078 | − | 0.698020i | \(-0.754065\pi\) | ||||
−0.716078 | + | 0.698020i | \(0.754065\pi\) | |||||||
\(102\) | 1.71947 | 0.170253 | ||||||||
\(103\) | 0.277430i | 0.0273360i | 0.999907 | + | 0.0136680i | \(0.00435079\pi\) | ||||
−0.999907 | + | 0.0136680i | \(0.995649\pi\) | |||||||
\(104\) | − | 7.03870i | − | 0.690201i | ||||||
\(105\) | −2.51711 | + | 0.814965i | −0.245645 | + | 0.0795324i | ||||
\(106\) | 4.73423i | 0.459829i | ||||||||
\(107\) | 3.04381i | 0.294256i | 0.989117 | + | 0.147128i | \(0.0470029\pi\) | ||||
−0.989117 | + | 0.147128i | \(0.952997\pi\) | |||||||
\(108\) | 0.393347i | 0.0378499i | ||||||||
\(109\) | − | 13.0411i | − | 1.24911i | −0.780980 | − | 0.624556i | \(-0.785280\pi\) | ||
0.780980 | − | 0.624556i | \(-0.214720\pi\) | |||||||
\(110\) | 2.66072 | + | 4.38719i | 0.253689 | + | 0.418302i | ||||
\(111\) | 3.30505i | 0.313702i | ||||||||
\(112\) | −11.6592 | + | 3.77489i | −1.10169 | + | 0.356694i | ||||
\(113\) | −11.1090 | −1.04504 | −0.522521 | − | 0.852626i | \(-0.675008\pi\) | ||||
−0.522521 | + | 0.852626i | \(0.675008\pi\) | |||||||
\(114\) | 3.98459 | 0.373191 | ||||||||
\(115\) | − | 4.41867i | − | 0.412043i | ||||||
\(116\) | − | 0.986862i | − | 0.0916278i | ||||||
\(117\) | −2.83183 | −0.261803 | ||||||||
\(118\) | −7.04302 | −0.648362 | ||||||||
\(119\) | 2.79766 | − | 0.905798i | 0.256461 | − | 0.0830344i | ||||
\(120\) | 2.48556i | 0.226900i | ||||||||
\(121\) | −5.08409 | + | 9.75459i | −0.462190 | + | 0.886781i | ||||
\(122\) | − | 3.92554i | − | 0.355402i | ||||||
\(123\) | 4.46980i | 0.403028i | ||||||||
\(124\) | − | 1.82420i | − | 0.163818i | ||||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 1.26079 | + | 3.89408i | 0.112320 | + | 0.346912i | ||||
\(127\) | − | 17.3736i | − | 1.54166i | −0.637041 | − | 0.770830i | \(-0.719842\pi\) | ||
0.637041 | − | 0.770830i | \(-0.280158\pi\) | |||||||
\(128\) | 13.4684i | 1.19045i | ||||||||
\(129\) | 6.92036 | 0.609304 | ||||||||
\(130\) | 4.38097 | 0.384237 | ||||||||
\(131\) | −15.0601 | −1.31581 | −0.657903 | − | 0.753103i | \(-0.728556\pi\) | ||||
−0.657903 | + | 0.753103i | \(0.728556\pi\) | |||||||
\(132\) | 1.11547 | − | 0.676507i | 0.0970896 | − | 0.0588823i | ||||
\(133\) | 6.48311 | − | 2.09904i | 0.562157 | − | 0.182010i | ||||
\(134\) | − | 22.7460i | − | 1.96496i | ||||||
\(135\) | 1.00000 | 0.0860663 | ||||||||
\(136\) | − | 2.76260i | − | 0.236891i | ||||||
\(137\) | 4.33359 | 0.370243 | 0.185122 | − | 0.982716i | \(-0.440732\pi\) | ||||
0.185122 | + | 0.982716i | \(0.440732\pi\) | |||||||
\(138\) | −6.83588 | −0.581908 | ||||||||
\(139\) | −10.9554 | −0.929222 | −0.464611 | − | 0.885515i | \(-0.653806\pi\) | ||||
−0.464611 | + | 0.885515i | \(0.653806\pi\) | |||||||
\(140\) | −0.320564 | − | 0.990098i | −0.0270926 | − | 0.0836785i | ||||
\(141\) | −3.19790 | −0.269312 | ||||||||
\(142\) | 5.83189i | 0.489401i | ||||||||
\(143\) | 4.87039 | + | 8.03065i | 0.407282 | + | 0.671557i | ||||
\(144\) | 4.63197 | 0.385998 | ||||||||
\(145\) | −2.50888 | −0.208351 | ||||||||
\(146\) | − | 7.53170i | − | 0.623328i | ||||||
\(147\) | 4.10271 | + | 5.67167i | 0.338386 | + | 0.467791i | ||||
\(148\) | −1.30003 | −0.106862 | ||||||||
\(149\) | 3.61456i | 0.296116i | 0.988979 | + | 0.148058i | \(0.0473022\pi\) | ||||
−0.988979 | + | 0.148058i | \(0.952698\pi\) | |||||||
\(150\) | −1.54704 | −0.126316 | ||||||||
\(151\) | 9.24176i | 0.752083i | 0.926603 | + | 0.376042i | \(0.122715\pi\) | ||||
−0.926603 | + | 0.376042i | \(0.877285\pi\) | |||||||
\(152\) | − | 6.40186i | − | 0.519259i | ||||||
\(153\) | −1.11146 | −0.0898559 | ||||||||
\(154\) | 8.87463 | − | 10.2727i | 0.715138 | − | 0.827799i | ||||
\(155\) | −4.63764 | −0.372504 | ||||||||
\(156\) | − | 1.11389i | − | 0.0891829i | ||||||
\(157\) | 5.84300i | 0.466322i | 0.972438 | + | 0.233161i | \(0.0749070\pi\) | ||||
−0.972438 | + | 0.233161i | \(0.925093\pi\) | |||||||
\(158\) | −7.38606 | −0.587603 | ||||||||
\(159\) | − | 3.06018i | − | 0.242688i | ||||||
\(160\) | −2.19474 | −0.173510 | ||||||||
\(161\) | −11.1223 | + | 3.60106i | −0.876557 | + | 0.283803i | ||||
\(162\) | − | 1.54704i | − | 0.121547i | ||||||
\(163\) | −9.75792 | −0.764300 | −0.382150 | − | 0.924100i | \(-0.624816\pi\) | ||||
−0.382150 | + | 0.924100i | \(0.624816\pi\) | |||||||
\(164\) | −1.75818 | −0.137291 | ||||||||
\(165\) | −1.71987 | − | 2.83585i | −0.133892 | − | 0.220771i | ||||
\(166\) | − | 22.1513i | − | 1.71928i | ||||||
\(167\) | −9.45478 | −0.731633 | −0.365816 | − | 0.930687i | \(-0.619210\pi\) | ||||
−0.365816 | + | 0.930687i | \(0.619210\pi\) | |||||||
\(168\) | 6.25643 | − | 2.02565i | 0.482694 | − | 0.156282i | ||||
\(169\) | −4.98072 | −0.383133 | ||||||||
\(170\) | 1.71947 | 0.131878 | ||||||||
\(171\) | −2.57562 | −0.196962 | ||||||||
\(172\) | 2.72211i | 0.207559i | ||||||||
\(173\) | −6.13078 | −0.466115 | −0.233057 | − | 0.972463i | \(-0.574873\pi\) | ||||
−0.233057 | + | 0.972463i | \(0.574873\pi\) | |||||||
\(174\) | 3.88135i | 0.294245i | ||||||||
\(175\) | −2.51711 | + | 0.814965i | −0.190275 | + | 0.0616055i | ||||
\(176\) | −7.96639 | − | 13.1356i | −0.600490 | − | 0.990132i | ||||
\(177\) | 4.55256 | 0.342192 | ||||||||
\(178\) | 0.910977 | 0.0682806 | ||||||||
\(179\) | −25.1893 | −1.88273 | −0.941367 | − | 0.337385i | \(-0.890457\pi\) | ||||
−0.941367 | + | 0.337385i | \(0.890457\pi\) | |||||||
\(180\) | 0.393347i | 0.0293184i | ||||||||
\(181\) | − | 3.44629i | − | 0.256161i | −0.991764 | − | 0.128080i | \(-0.959118\pi\) | ||
0.991764 | − | 0.128080i | \(-0.0408815\pi\) | |||||||
\(182\) | −3.57034 | − | 11.0274i | −0.264651 | − | 0.817404i | ||||
\(183\) | 2.53745i | 0.187573i | ||||||||
\(184\) | 10.9829i | 0.809669i | ||||||||
\(185\) | 3.30505i | 0.242992i | ||||||||
\(186\) | 7.17464i | 0.526070i | ||||||||
\(187\) | 1.91156 | + | 3.15192i | 0.139787 | + | 0.230492i | ||||
\(188\) | − | 1.25789i | − | 0.0917407i | ||||||
\(189\) | −0.814965 | − | 2.51711i | −0.0592800 | − | 0.183093i | ||||
\(190\) | 3.98459 | 0.289073 | ||||||||
\(191\) | −10.4878 | −0.758870 | −0.379435 | − | 0.925218i | \(-0.623882\pi\) | ||||
−0.379435 | + | 0.925218i | \(0.623882\pi\) | |||||||
\(192\) | − | 5.86858i | − | 0.423528i | ||||||
\(193\) | − | 8.80647i | − | 0.633903i | −0.948442 | − | 0.316952i | \(-0.897341\pi\) | ||
0.948442 | − | 0.316952i | \(-0.102659\pi\) | |||||||
\(194\) | 11.9677 | 0.859231 | ||||||||
\(195\) | −2.83183 | −0.202792 | ||||||||
\(196\) | −2.23093 | + | 1.61379i | −0.159352 | + | 0.115271i | ||||
\(197\) | − | 3.67764i | − | 0.262021i | −0.991381 | − | 0.131011i | \(-0.958178\pi\) | ||
0.991381 | − | 0.131011i | \(-0.0418222\pi\) | |||||||
\(198\) | −4.38719 | + | 2.66072i | −0.311784 | + | 0.189089i | ||||
\(199\) | 17.7841i | 1.26068i | 0.776319 | + | 0.630340i | \(0.217084\pi\) | ||||
−0.776319 | + | 0.630340i | \(0.782916\pi\) | |||||||
\(200\) | 2.48556i | 0.175756i | ||||||||
\(201\) | 14.7029i | 1.03706i | ||||||||
\(202\) | 22.2666i | 1.56667i | ||||||||
\(203\) | 2.04465 | + | 6.31513i | 0.143506 | + | 0.443235i | ||||
\(204\) | − | 0.437189i | − | 0.0306093i | ||||||
\(205\) | 4.46980i | 0.312184i | ||||||||
\(206\) | 0.429196 | 0.0299035 | ||||||||
\(207\) | 4.41867 | 0.307119 | ||||||||
\(208\) | −13.1170 | −0.909498 | ||||||||
\(209\) | 4.42973 | + | 7.30406i | 0.306411 | + | 0.505233i | ||||
\(210\) | 1.26079 | + | 3.89408i | 0.0870026 | + | 0.268717i | ||||
\(211\) | − | 15.0841i | − | 1.03843i | −0.854644 | − | 0.519215i | \(-0.826224\pi\) | ||
0.854644 | − | 0.519215i | \(-0.173776\pi\) | |||||||
\(212\) | 1.20371 | 0.0826713 | ||||||||
\(213\) | − | 3.76969i | − | 0.258295i | ||||||
\(214\) | 4.70891 | 0.321894 | ||||||||
\(215\) | 6.92036 | 0.471965 | ||||||||
\(216\) | −2.48556 | −0.169121 | ||||||||
\(217\) | 3.77951 | + | 11.6734i | 0.256570 | + | 0.792445i | ||||
\(218\) | −20.1752 | −1.36644 | ||||||||
\(219\) | 4.86845i | 0.328979i | ||||||||
\(220\) | 1.11547 | − | 0.676507i | 0.0752052 | − | 0.0456101i | ||||
\(221\) | 3.14746 | 0.211721 | ||||||||
\(222\) | 5.11306 | 0.343166 | ||||||||
\(223\) | 21.2206i | 1.42104i | 0.703677 | + | 0.710520i | \(0.251540\pi\) | ||||
−0.703677 | + | 0.710520i | \(0.748460\pi\) | |||||||
\(224\) | 1.78864 | + | 5.52440i | 0.119508 | + | 0.369115i | ||||
\(225\) | 1.00000 | 0.0666667 | ||||||||
\(226\) | 17.1860i | 1.14320i | ||||||||
\(227\) | 6.71340 | 0.445584 | 0.222792 | − | 0.974866i | \(-0.428483\pi\) | ||||
0.222792 | + | 0.974866i | \(0.428483\pi\) | |||||||
\(228\) | − | 1.01311i | − | 0.0670950i | ||||||
\(229\) | 25.9762i | 1.71655i | 0.513186 | + | 0.858277i | \(0.328465\pi\) | ||||
−0.513186 | + | 0.858277i | \(0.671535\pi\) | |||||||
\(230\) | −6.83588 | −0.450744 | ||||||||
\(231\) | −5.73651 | + | 6.64022i | −0.377434 | + | 0.436894i | ||||
\(232\) | 6.23598 | 0.409412 | ||||||||
\(233\) | 0.0686068i | 0.00449458i | 0.999997 | + | 0.00224729i | \(0.000715335\pi\) | ||||
−0.999997 | + | 0.00224729i | \(0.999285\pi\) | |||||||
\(234\) | 4.38097i | 0.286393i | ||||||||
\(235\) | −3.19790 | −0.208608 | ||||||||
\(236\) | 1.79074i | 0.116567i | ||||||||
\(237\) | 4.77430 | 0.310124 | ||||||||
\(238\) | −1.40131 | − | 4.32810i | −0.0908334 | − | 0.280549i | ||||
\(239\) | − | 21.9557i | − | 1.42019i | −0.704104 | − | 0.710097i | \(-0.748651\pi\) | ||
0.704104 | − | 0.710097i | \(-0.251349\pi\) | |||||||
\(240\) | 4.63197 | 0.298993 | ||||||||
\(241\) | 3.80239 | 0.244933 | 0.122467 | − | 0.992473i | \(-0.460920\pi\) | ||||
0.122467 | + | 0.992473i | \(0.460920\pi\) | |||||||
\(242\) | 15.0908 | + | 7.86531i | 0.970073 | + | 0.505602i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −0.998098 | −0.0638967 | ||||||||
\(245\) | 4.10271 | + | 5.67167i | 0.262112 | + | 0.362349i | ||||
\(246\) | 6.91498 | 0.440883 | ||||||||
\(247\) | 7.29372 | 0.464088 | ||||||||
\(248\) | 11.5272 | 0.731975 | ||||||||
\(249\) | 14.3185i | 0.907397i | ||||||||
\(250\) | −1.54704 | −0.0978437 | ||||||||
\(251\) | 18.0105i | 1.13681i | 0.822748 | + | 0.568407i | \(0.192440\pi\) | ||||
−0.822748 | + | 0.568407i | \(0.807560\pi\) | |||||||
\(252\) | 0.990098 | − | 0.320564i | 0.0623703 | − | 0.0201936i | ||||
\(253\) | −7.59954 | − | 12.5307i | −0.477779 | − | 0.787797i | ||||
\(254\) | −26.8778 | −1.68646 | ||||||||
\(255\) | −1.11146 | −0.0696021 | ||||||||
\(256\) | 9.09912 | 0.568695 | ||||||||
\(257\) | − | 11.0756i | − | 0.690875i | −0.938442 | − | 0.345437i | \(-0.887731\pi\) | ||
0.938442 | − | 0.345437i | \(-0.112269\pi\) | |||||||
\(258\) | − | 10.7061i | − | 0.666533i | ||||||
\(259\) | 8.31917 | − | 2.69350i | 0.516928 | − | 0.167366i | ||||
\(260\) | − | 1.11389i | − | 0.0690808i | ||||||
\(261\) | − | 2.50888i | − | 0.155296i | ||||||
\(262\) | 23.2986i | 1.43939i | ||||||||
\(263\) | − | 3.71325i | − | 0.228969i | −0.993425 | − | 0.114484i | \(-0.963478\pi\) | ||
0.993425 | − | 0.114484i | \(-0.0365216\pi\) | |||||||
\(264\) | 4.27485 | + | 7.04869i | 0.263099 | + | 0.433817i | ||||
\(265\) | − | 3.06018i | − | 0.187985i | ||||||
\(266\) | −3.24730 | − | 10.0297i | −0.199105 | − | 0.614958i | ||||
\(267\) | −0.588850 | −0.0360370 | ||||||||
\(268\) | −5.78334 | −0.353274 | ||||||||
\(269\) | − | 26.7827i | − | 1.63297i | −0.577366 | − | 0.816486i | \(-0.695919\pi\) | ||
0.577366 | − | 0.816486i | \(-0.304081\pi\) | |||||||
\(270\) | − | 1.54704i | − | 0.0941501i | ||||||
\(271\) | 18.8021 | 1.14215 | 0.571074 | − | 0.820899i | \(-0.306527\pi\) | ||||
0.571074 | + | 0.820899i | \(0.306527\pi\) | |||||||
\(272\) | −5.14824 | −0.312158 | ||||||||
\(273\) | 2.30784 | + | 7.12803i | 0.139677 | + | 0.431408i | ||||
\(274\) | − | 6.70425i | − | 0.405019i | ||||||
\(275\) | −1.71987 | − | 2.83585i | −0.103712 | − | 0.171008i | ||||
\(276\) | 1.73807i | 0.104620i | ||||||||
\(277\) | 18.8093i | 1.13014i | 0.825042 | + | 0.565071i | \(0.191151\pi\) | ||||
−0.825042 | + | 0.565071i | \(0.808849\pi\) | |||||||
\(278\) | 16.9484i | 1.01650i | ||||||||
\(279\) | − | 4.63764i | − | 0.277648i | ||||||
\(280\) | 6.25643 | − | 2.02565i | 0.373893 | − | 0.121056i | ||||
\(281\) | − | 6.00260i | − | 0.358085i | −0.983841 | − | 0.179043i | \(-0.942700\pi\) | ||
0.983841 | − | 0.179043i | \(-0.0573000\pi\) | |||||||
\(282\) | 4.94729i | 0.294607i | ||||||||
\(283\) | −5.80703 | −0.345192 | −0.172596 | − | 0.984993i | \(-0.555216\pi\) | ||||
−0.172596 | + | 0.984993i | \(0.555216\pi\) | |||||||
\(284\) | 1.48280 | 0.0879880 | ||||||||
\(285\) | −2.57562 | −0.152566 | ||||||||
\(286\) | 12.4238 | − | 7.53470i | 0.734633 | − | 0.445536i | ||||
\(287\) | 11.2510 | − | 3.64273i | 0.664123 | − | 0.215023i | ||||
\(288\) | − | 2.19474i | − | 0.129326i | ||||||
\(289\) | −15.7647 | −0.927333 | ||||||||
\(290\) | 3.88135i | 0.227921i | ||||||||
\(291\) | −7.73585 | −0.453484 | ||||||||
\(292\) | −1.91499 | −0.112066 | ||||||||
\(293\) | 23.9606 | 1.39979 | 0.699897 | − | 0.714244i | \(-0.253229\pi\) | ||||
0.699897 | + | 0.714244i | \(0.253229\pi\) | |||||||
\(294\) | 8.77432 | − | 6.34707i | 0.511729 | − | 0.370169i | ||||
\(295\) | 4.55256 | 0.265060 | ||||||||
\(296\) | − | 8.21492i | − | 0.477482i | ||||||
\(297\) | 2.83585 | − | 1.71987i | 0.164553 | − | 0.0997970i | ||||
\(298\) | 5.59188 | 0.323929 | ||||||||
\(299\) | −12.5129 | −0.723641 | ||||||||
\(300\) | 0.393347i | 0.0227099i | ||||||||
\(301\) | −5.63985 | − | 17.4193i | −0.325076 | − | 1.00403i | ||||
\(302\) | 14.2974 | 0.822723 | ||||||||
\(303\) | − | 14.3930i | − | 0.826856i | ||||||
\(304\) | −11.9302 | −0.684243 | ||||||||
\(305\) | 2.53745i | 0.145294i | ||||||||
\(306\) | 1.71947i | 0.0982957i | ||||||||
\(307\) | −31.6593 | −1.80689 | −0.903445 | − | 0.428703i | \(-0.858971\pi\) | ||||
−0.903445 | + | 0.428703i | \(0.858971\pi\) | |||||||
\(308\) | −2.61191 | − | 2.25644i | −0.148828 | − | 0.128573i | ||||
\(309\) | −0.277430 | −0.0157824 | ||||||||
\(310\) | 7.17464i | 0.407492i | ||||||||
\(311\) | 13.8570i | 0.785759i | 0.919590 | + | 0.392880i | \(0.128521\pi\) | ||||
−0.919590 | + | 0.392880i | \(0.871479\pi\) | |||||||
\(312\) | 7.03870 | 0.398488 | ||||||||
\(313\) | − | 19.7086i | − | 1.11399i | −0.830515 | − | 0.556997i | \(-0.811954\pi\) | ||
0.830515 | − | 0.556997i | \(-0.188046\pi\) | |||||||
\(314\) | 9.03939 | 0.510122 | ||||||||
\(315\) | −0.814965 | − | 2.51711i | −0.0459181 | − | 0.141823i | ||||
\(316\) | 1.87796i | 0.105643i | ||||||||
\(317\) | 12.5949 | 0.707403 | 0.353701 | − | 0.935358i | \(-0.384923\pi\) | ||||
0.353701 | + | 0.935358i | \(0.384923\pi\) | |||||||
\(318\) | −4.73423 | −0.265483 | ||||||||
\(319\) | −7.11481 | + | 4.31495i | −0.398353 | + | 0.241591i | ||||
\(320\) | − | 5.86858i | − | 0.328064i | ||||||
\(321\) | −3.04381 | −0.169889 | ||||||||
\(322\) | 5.57100 | + | 17.2066i | 0.310460 | + | 0.958888i | ||||
\(323\) | 2.86269 | 0.159284 | ||||||||
\(324\) | −0.393347 | −0.0218526 | ||||||||
\(325\) | −2.83183 | −0.157082 | ||||||||
\(326\) | 15.0959i | 0.836087i | ||||||||
\(327\) | 13.0411 | 0.721175 | ||||||||
\(328\) | − | 11.1100i | − | 0.613445i | ||||||
\(329\) | 2.60618 | + | 8.04946i | 0.143683 | + | 0.443781i | ||||
\(330\) | −4.38719 | + | 2.66072i | −0.241507 | + | 0.146468i | ||||
\(331\) | −12.5054 | −0.687359 | −0.343679 | − | 0.939087i | \(-0.611673\pi\) | ||||
−0.343679 | + | 0.939087i | \(0.611673\pi\) | |||||||
\(332\) | −5.63214 | −0.309104 | ||||||||
\(333\) | −3.30505 | −0.181116 | ||||||||
\(334\) | 14.6270i | 0.800352i | ||||||||
\(335\) | 14.7029i | 0.803305i | ||||||||
\(336\) | −3.77489 | − | 11.6592i | −0.205937 | − | 0.636060i | ||||
\(337\) | − | 3.88910i | − | 0.211853i | −0.994374 | − | 0.105926i | \(-0.966219\pi\) | ||
0.994374 | − | 0.105926i | \(-0.0337808\pi\) | |||||||
\(338\) | 7.70540i | 0.419119i | ||||||||
\(339\) | − | 11.1090i | − | 0.603355i | ||||||
\(340\) | − | 0.437189i | − | 0.0237099i | ||||||
\(341\) | −13.1517 | + | 7.97614i | −0.712202 | + | 0.431932i | ||||
\(342\) | 3.98459i | 0.215462i | ||||||||
\(343\) | 10.9326 | − | 14.9492i | 0.590307 | − | 0.807179i | ||||
\(344\) | −17.2010 | −0.927416 | ||||||||
\(345\) | 4.41867 | 0.237893 | ||||||||
\(346\) | 9.48460i | 0.509895i | ||||||||
\(347\) | − | 5.63633i | − | 0.302574i | −0.988490 | − | 0.151287i | \(-0.951658\pi\) | ||
0.988490 | − | 0.151287i | \(-0.0483417\pi\) | |||||||
\(348\) | 0.986862 | 0.0529014 | ||||||||
\(349\) | −5.20232 | −0.278474 | −0.139237 | − | 0.990259i | \(-0.544465\pi\) | ||||
−0.139237 | + | 0.990259i | \(0.544465\pi\) | |||||||
\(350\) | 1.26079 | + | 3.89408i | 0.0673919 | + | 0.208147i | ||||
\(351\) | − | 2.83183i | − | 0.151152i | ||||||
\(352\) | −6.22396 | + | 3.77467i | −0.331738 | + | 0.201191i | ||||
\(353\) | − | 3.66618i | − | 0.195131i | −0.995229 | − | 0.0975655i | \(-0.968894\pi\) | ||
0.995229 | − | 0.0975655i | \(-0.0311055\pi\) | |||||||
\(354\) | − | 7.04302i | − | 0.374332i | ||||||
\(355\) | − | 3.76969i | − | 0.200075i | ||||||
\(356\) | − | 0.231622i | − | 0.0122760i | ||||||
\(357\) | 0.905798 | + | 2.79766i | 0.0479399 | + | 0.148068i | ||||
\(358\) | 38.9689i | 2.05957i | ||||||||
\(359\) | 7.36337i | 0.388624i | 0.980940 | + | 0.194312i | \(0.0622474\pi\) | ||||
−0.980940 | + | 0.194312i | \(0.937753\pi\) | |||||||
\(360\) | −2.48556 | −0.131001 | ||||||||
\(361\) | −12.3662 | −0.650853 | ||||||||
\(362\) | −5.33156 | −0.280221 | ||||||||
\(363\) | −9.75459 | − | 5.08409i | −0.511983 | − | 0.266846i | ||||
\(364\) | −2.80379 | + | 0.907784i | −0.146959 | + | 0.0475808i | ||||
\(365\) | 4.86845i | 0.254826i | ||||||||
\(366\) | 3.92554 | 0.205191 | ||||||||
\(367\) | 32.7650i | 1.71032i | 0.518365 | + | 0.855159i | \(0.326541\pi\) | ||||
−0.518365 | + | 0.855159i | \(0.673459\pi\) | |||||||
\(368\) | 20.4671 | 1.06692 | ||||||||
\(369\) | −4.46980 | −0.232688 | ||||||||
\(370\) | 5.11306 | 0.265815 | ||||||||
\(371\) | −7.70280 | + | 2.49394i | −0.399909 | + | 0.129479i | ||||
\(372\) | 1.82420 | 0.0945806 | ||||||||
\(373\) | 4.31273i | 0.223305i | 0.993747 | + | 0.111652i | \(0.0356143\pi\) | ||||
−0.993747 | + | 0.111652i | \(0.964386\pi\) | |||||||
\(374\) | 4.87617 | − | 2.95727i | 0.252141 | − | 0.152917i | ||||
\(375\) | 1.00000 | 0.0516398 | ||||||||
\(376\) | 7.94858 | 0.409917 | ||||||||
\(377\) | 7.10473i | 0.365912i | ||||||||
\(378\) | −3.89408 | + | 1.26079i | −0.200290 | + | 0.0648479i | ||||
\(379\) | −34.2848 | −1.76109 | −0.880545 | − | 0.473962i | \(-0.842823\pi\) | ||||
−0.880545 | + | 0.473962i | \(0.842823\pi\) | |||||||
\(380\) | − | 1.01311i | − | 0.0519716i | ||||||
\(381\) | 17.3736 | 0.890078 | ||||||||
\(382\) | 16.2251i | 0.830147i | ||||||||
\(383\) | 19.0897i | 0.975439i | 0.873000 | + | 0.487720i | \(0.162171\pi\) | ||||
−0.873000 | + | 0.487720i | \(0.837829\pi\) | |||||||
\(384\) | −13.4684 | −0.687309 | ||||||||
\(385\) | −5.73651 | + | 6.64022i | −0.292359 | + | 0.338417i | ||||
\(386\) | −13.6240 | −0.693443 | ||||||||
\(387\) | 6.92036i | 0.351782i | ||||||||
\(388\) | − | 3.04288i | − | 0.154479i | ||||||
\(389\) | −25.8528 | −1.31079 | −0.655394 | − | 0.755287i | \(-0.727498\pi\) | ||||
−0.655394 | + | 0.755287i | \(0.727498\pi\) | |||||||
\(390\) | 4.38097i | 0.221839i | ||||||||
\(391\) | −4.91116 | −0.248368 | ||||||||
\(392\) | −10.1975 | − | 14.0973i | −0.515054 | − | 0.712020i | ||||
\(393\) | − | 15.0601i | − | 0.759681i | ||||||
\(394\) | −5.68948 | −0.286632 | ||||||||
\(395\) | 4.77430 | 0.240221 | ||||||||
\(396\) | 0.676507 | + | 1.11547i | 0.0339957 | + | 0.0560547i | ||||
\(397\) | − | 26.8639i | − | 1.34826i | −0.738612 | − | 0.674131i | \(-0.764518\pi\) | ||
0.738612 | − | 0.674131i | \(-0.235482\pi\) | |||||||
\(398\) | 27.5128 | 1.37909 | ||||||||
\(399\) | 2.09904 | + | 6.48311i | 0.105083 | + | 0.324561i | ||||
\(400\) | 4.63197 | 0.231599 | ||||||||
\(401\) | 38.2162 | 1.90842 | 0.954212 | − | 0.299130i | \(-0.0966964\pi\) | ||||
0.954212 | + | 0.299130i | \(0.0966964\pi\) | |||||||
\(402\) | 22.7460 | 1.13447 | ||||||||
\(403\) | 13.1330i | 0.654202i | ||||||||
\(404\) | 5.66144 | 0.281667 | ||||||||
\(405\) | 1.00000i | 0.0496904i | ||||||||
\(406\) | 9.76978 | − | 3.16316i | 0.484866 | − | 0.156985i | ||||
\(407\) | 5.68426 | + | 9.37263i | 0.281758 | + | 0.464584i | ||||
\(408\) | 2.76260 | 0.136769 | ||||||||
\(409\) | −33.7421 | −1.66844 | −0.834221 | − | 0.551431i | \(-0.814082\pi\) | ||||
−0.834221 | + | 0.551431i | \(0.814082\pi\) | |||||||
\(410\) | 6.91498 | 0.341506 | ||||||||
\(411\) | 4.33359i | 0.213760i | ||||||||
\(412\) | − | 0.109126i | − | 0.00537626i | ||||||
\(413\) | −3.71018 | − | 11.4593i | −0.182566 | − | 0.563875i | ||||
\(414\) | − | 6.83588i | − | 0.335965i | ||||||
\(415\) | 14.3185i | 0.702866i | ||||||||
\(416\) | 6.21514i | 0.304722i | ||||||||
\(417\) | − | 10.9554i | − | 0.536487i | ||||||
\(418\) | 11.2997 | − | 6.85299i | 0.552687 | − | 0.335191i | ||||
\(419\) | − | 4.94856i | − | 0.241753i | −0.992668 | − | 0.120876i | \(-0.961429\pi\) | ||
0.992668 | − | 0.120876i | \(-0.0385705\pi\) | |||||||
\(420\) | 0.990098 | − | 0.320564i | 0.0483118 | − | 0.0156419i | ||||
\(421\) | 36.7108 | 1.78917 | 0.894587 | − | 0.446893i | \(-0.147470\pi\) | ||||
0.894587 | + | 0.446893i | \(0.147470\pi\) | |||||||
\(422\) | −23.3357 | −1.13596 | ||||||||
\(423\) | − | 3.19790i | − | 0.155487i | ||||||
\(424\) | 7.60627i | 0.369393i | ||||||||
\(425\) | −1.11146 | −0.0539136 | ||||||||
\(426\) | −5.83189 | −0.282556 | ||||||||
\(427\) | 6.38703 | − | 2.06793i | 0.309090 | − | 0.100074i | ||||
\(428\) | − | 1.19727i | − | 0.0578724i | ||||||
\(429\) | −8.03065 | + | 4.87039i | −0.387724 | + | 0.235144i | ||||
\(430\) | − | 10.7061i | − | 0.516294i | ||||||
\(431\) | 19.1239i | 0.921167i | 0.887616 | + | 0.460583i | \(0.152360\pi\) | ||||
−0.887616 | + | 0.460583i | \(0.847640\pi\) | |||||||
\(432\) | 4.63197i | 0.222856i | ||||||||
\(433\) | − | 23.0731i | − | 1.10882i | −0.832243 | − | 0.554412i | \(-0.812943\pi\) | ||
0.832243 | − | 0.554412i | \(-0.187057\pi\) | |||||||
\(434\) | 18.0593 | − | 5.84708i | 0.866876 | − | 0.280669i | ||||
\(435\) | − | 2.50888i | − | 0.120292i | ||||||
\(436\) | 5.12969i | 0.245668i | ||||||||
\(437\) | −11.3808 | −0.544417 | ||||||||
\(438\) | 7.53170 | 0.359879 | ||||||||
\(439\) | −25.6104 | −1.22232 | −0.611159 | − | 0.791508i | \(-0.709296\pi\) | ||||
−0.611159 | + | 0.791508i | \(0.709296\pi\) | |||||||
\(440\) | 4.27485 | + | 7.04869i | 0.203795 | + | 0.336033i | ||||
\(441\) | −5.67167 | + | 4.10271i | −0.270079 | + | 0.195367i | ||||
\(442\) | − | 4.86926i | − | 0.231607i | ||||||
\(443\) | −9.64017 | −0.458018 | −0.229009 | − | 0.973424i | \(-0.573549\pi\) | ||||
−0.229009 | + | 0.973424i | \(0.573549\pi\) | |||||||
\(444\) | − | 1.30003i | − | 0.0616969i | ||||||
\(445\) | −0.588850 | −0.0279142 | ||||||||
\(446\) | 32.8293 | 1.55451 | ||||||||
\(447\) | −3.61456 | −0.170963 | ||||||||
\(448\) | −14.7719 | + | 4.78269i | −0.697904 | + | 0.225961i | ||||
\(449\) | 36.1350 | 1.70532 | 0.852658 | − | 0.522469i | \(-0.174989\pi\) | ||||
0.852658 | + | 0.522469i | \(0.174989\pi\) | |||||||
\(450\) | − | 1.54704i | − | 0.0729284i | ||||||
\(451\) | 7.68747 | + | 12.6757i | 0.361989 | + | 0.596874i | ||||
\(452\) | 4.36968 | 0.205532 | ||||||||
\(453\) | −9.24176 | −0.434216 | ||||||||
\(454\) | − | 10.3859i | − | 0.487436i | ||||||
\(455\) | 2.30784 | + | 7.12803i | 0.108193 | + | 0.334167i | ||||
\(456\) | 6.40186 | 0.299795 | ||||||||
\(457\) | 27.3776i | 1.28067i | 0.768096 | + | 0.640335i | \(0.221205\pi\) | ||||
−0.768096 | + | 0.640335i | \(0.778795\pi\) | |||||||
\(458\) | 40.1863 | 1.87778 | ||||||||
\(459\) | − | 1.11146i | − | 0.0518784i | ||||||
\(460\) | 1.73807i | 0.0810380i | ||||||||
\(461\) | −16.9958 | −0.791571 | −0.395786 | − | 0.918343i | \(-0.629528\pi\) | ||||
−0.395786 | + | 0.918343i | \(0.629528\pi\) | |||||||
\(462\) | 10.2727 | + | 8.87463i | 0.477930 | + | 0.412885i | ||||
\(463\) | 5.32300 | 0.247381 | 0.123690 | − | 0.992321i | \(-0.460527\pi\) | ||||
0.123690 | + | 0.992321i | \(0.460527\pi\) | |||||||
\(464\) | − | 11.6211i | − | 0.539495i | ||||||
\(465\) | − | 4.63764i | − | 0.215065i | ||||||
\(466\) | 0.106138 | 0.00491674 | ||||||||
\(467\) | − | 34.3107i | − | 1.58771i | −0.608108 | − | 0.793855i | \(-0.708071\pi\) | ||
0.608108 | − | 0.793855i | \(-0.291929\pi\) | |||||||
\(468\) | 1.11389 | 0.0514898 | ||||||||
\(469\) | 37.0088 | − | 11.9823i | 1.70891 | − | 0.553293i | ||||
\(470\) | 4.94729i | 0.228202i | ||||||||
\(471\) | −5.84300 | −0.269231 | ||||||||
\(472\) | −11.3157 | −0.520846 | ||||||||
\(473\) | 19.6251 | − | 11.9021i | 0.902363 | − | 0.547260i | ||||
\(474\) | − | 7.38606i | − | 0.339253i | ||||||
\(475\) | −2.57562 | −0.118177 | ||||||||
\(476\) | −1.10045 | + | 0.356293i | −0.0504391 | + | 0.0163307i | ||||
\(477\) | 3.06018 | 0.140116 | ||||||||
\(478\) | −33.9664 | −1.55359 | ||||||||
\(479\) | −41.8127 | −1.91047 | −0.955236 | − | 0.295845i | \(-0.904399\pi\) | ||||
−0.955236 | + | 0.295845i | \(0.904399\pi\) | |||||||
\(480\) | − | 2.19474i | − | 0.100176i | ||||||
\(481\) | 9.35935 | 0.426750 | ||||||||
\(482\) | − | 5.88246i | − | 0.267939i | ||||||
\(483\) | −3.60106 | − | 11.1223i | −0.163854 | − | 0.506080i | ||||
\(484\) | 1.99981 | − | 3.83694i | 0.0909006 | − | 0.174406i | ||||
\(485\) | −7.73585 | −0.351267 | ||||||||
\(486\) | 1.54704 | 0.0701754 | ||||||||
\(487\) | −35.9454 | −1.62884 | −0.814420 | − | 0.580275i | \(-0.802945\pi\) | ||||
−0.814420 | + | 0.580275i | \(0.802945\pi\) | |||||||
\(488\) | − | 6.30698i | − | 0.285504i | ||||||
\(489\) | − | 9.75792i | − | 0.441269i | ||||||
\(490\) | 8.77432 | − | 6.34707i | 0.396383 | − | 0.286732i | ||||
\(491\) | − | 37.1012i | − | 1.67436i | −0.546931 | − | 0.837178i | \(-0.684204\pi\) | ||
0.546931 | − | 0.837178i | \(-0.315796\pi\) | |||||||
\(492\) | − | 1.75818i | − | 0.0792650i | ||||||
\(493\) | 2.78851i | 0.125588i | ||||||||
\(494\) | − | 11.2837i | − | 0.507678i | ||||||
\(495\) | 2.83585 | − | 1.71987i | 0.127462 | − | 0.0773024i | ||||
\(496\) | − | 21.4814i | − | 0.964544i | ||||||
\(497\) | −9.48873 | + | 3.07217i | −0.425628 | + | 0.137806i | ||||
\(498\) | 22.1513 | 0.992625 | ||||||||
\(499\) | 22.3917 | 1.00239 | 0.501196 | − | 0.865334i | \(-0.332894\pi\) | ||||
0.501196 | + | 0.865334i | \(0.332894\pi\) | |||||||
\(500\) | 0.393347i | 0.0175910i | ||||||||
\(501\) | − | 9.45478i | − | 0.422408i | ||||||
\(502\) | 27.8631 | 1.24359 | ||||||||
\(503\) | 5.47272 | 0.244016 | 0.122008 | − | 0.992529i | \(-0.461067\pi\) | ||||
0.122008 | + | 0.992529i | \(0.461067\pi\) | |||||||
\(504\) | 2.02565 | + | 6.25643i | 0.0902295 | + | 0.278684i | ||||
\(505\) | − | 14.3930i | − | 0.640480i | ||||||
\(506\) | −19.3855 | + | 11.7568i | −0.861791 | + | 0.522655i | ||||
\(507\) | − | 4.98072i | − | 0.221202i | ||||||
\(508\) | 6.83387i | 0.303204i | ||||||||
\(509\) | 13.3419i | 0.591370i | 0.955286 | + | 0.295685i | \(0.0955478\pi\) | ||||
−0.955286 | + | 0.295685i | \(0.904452\pi\) | |||||||
\(510\) | 1.71947i | 0.0761396i | ||||||||
\(511\) | 12.2544 | − | 3.96761i | 0.542103 | − | 0.175517i | ||||
\(512\) | 12.8601i | 0.568343i | ||||||||
\(513\) | − | 2.57562i | − | 0.113716i | ||||||
\(514\) | −17.1344 | −0.755766 | ||||||||
\(515\) | −0.277430 | −0.0122250 | ||||||||
\(516\) | −2.72211 | −0.119834 | ||||||||
\(517\) | −9.06876 | + | 5.49997i | −0.398844 | + | 0.241889i | ||||
\(518\) | −4.16697 | − | 12.8701i | −0.183086 | − | 0.565481i | ||||
\(519\) | − | 6.13078i | − | 0.269111i | ||||||
\(520\) | 7.03870 | 0.308667 | ||||||||
\(521\) | − | 40.4466i | − | 1.77200i | −0.463689 | − | 0.885998i | \(-0.653475\pi\) | ||
0.463689 | − | 0.885998i | \(-0.346525\pi\) | |||||||
\(522\) | −3.88135 | −0.169882 | ||||||||
\(523\) | −28.0390 | −1.22606 | −0.613030 | − | 0.790059i | \(-0.710050\pi\) | ||||
−0.613030 | + | 0.790059i | \(0.710050\pi\) | |||||||
\(524\) | 5.92385 | 0.258784 | ||||||||
\(525\) | −0.814965 | − | 2.51711i | −0.0355680 | − | 0.109856i | ||||
\(526\) | −5.74456 | −0.250475 | ||||||||
\(527\) | 5.15454i | 0.224535i | ||||||||
\(528\) | 13.1356 | − | 7.96639i | 0.571653 | − | 0.346693i | ||||
\(529\) | −3.47538 | −0.151103 | ||||||||
\(530\) | −4.73423 | −0.205642 | ||||||||
\(531\) | 4.55256i | 0.197564i | ||||||||
\(532\) | −2.55011 | + | 0.825651i | −0.110561 | + | 0.0357965i | ||||
\(533\) | 12.6577 | 0.548267 | ||||||||
\(534\) | 0.910977i | 0.0394218i | ||||||||
\(535\) | −3.04381 | −0.131595 | ||||||||
\(536\) | − | 36.5450i | − | 1.57850i | ||||||
\(537\) | − | 25.1893i | − | 1.08700i | ||||||
\(538\) | −41.4341 | −1.78635 | ||||||||
\(539\) | 21.3892 | + | 9.02786i | 0.921298 | + | 0.388858i | ||||
\(540\) | −0.393347 | −0.0169270 | ||||||||
\(541\) | − | 30.5495i | − | 1.31343i | −0.754141 | − | 0.656713i | \(-0.771946\pi\) | ||
0.754141 | − | 0.656713i | \(-0.228054\pi\) | |||||||
\(542\) | − | 29.0877i | − | 1.24943i | ||||||
\(543\) | 3.44629 | 0.147894 | ||||||||
\(544\) | 2.43936i | 0.104587i | ||||||||
\(545\) | 13.0411 | 0.558620 | ||||||||
\(546\) | 11.0274 | − | 3.57034i | 0.471928 | − | 0.152796i | ||||
\(547\) | − | 14.4756i | − | 0.618932i | −0.950910 | − | 0.309466i | \(-0.899850\pi\) | ||
0.950910 | − | 0.309466i | \(-0.100150\pi\) | |||||||
\(548\) | −1.70461 | −0.0728171 | ||||||||
\(549\) | −2.53745 | −0.108296 | ||||||||
\(550\) | −4.38719 | + | 2.66072i | −0.187070 | + | 0.113453i | ||||
\(551\) | 6.46192i | 0.275287i | ||||||||
\(552\) | −10.9829 | −0.467462 | ||||||||
\(553\) | −3.89089 | − | 12.0174i | −0.165457 | − | 0.511033i | ||||
\(554\) | 29.0988 | 1.23629 | ||||||||
\(555\) | −3.30505 | −0.140292 | ||||||||
\(556\) | 4.30926 | 0.182754 | ||||||||
\(557\) | 29.9998i | 1.27113i | 0.772046 | + | 0.635566i | \(0.219233\pi\) | ||||
−0.772046 | + | 0.635566i | \(0.780767\pi\) | |||||||
\(558\) | −7.17464 | −0.303727 | ||||||||
\(559\) | − | 19.5973i | − | 0.828878i | ||||||
\(560\) | −3.77489 | − | 11.6592i | −0.159518 | − | 0.492690i | ||||
\(561\) | −3.15192 | + | 1.91156i | −0.133074 | + | 0.0807062i | ||||
\(562\) | −9.28630 | −0.391719 | ||||||||
\(563\) | −19.7699 | −0.833202 | −0.416601 | − | 0.909089i | \(-0.636779\pi\) | ||||
−0.416601 | + | 0.909089i | \(0.636779\pi\) | |||||||
\(564\) | 1.25789 | 0.0529665 | ||||||||
\(565\) | − | 11.1090i | − | 0.467357i | ||||||
\(566\) | 8.98374i | 0.377615i | ||||||||
\(567\) | 2.51711 | − | 0.814965i | 0.105709 | − | 0.0342253i | ||||
\(568\) | 9.36981i | 0.393149i | ||||||||
\(569\) | 27.3273i | 1.14562i | 0.819689 | + | 0.572810i | \(0.194147\pi\) | ||||
−0.819689 | + | 0.572810i | \(0.805853\pi\) | |||||||
\(570\) | 3.98459i | 0.166896i | ||||||||
\(571\) | − | 10.7124i | − | 0.448299i | −0.974555 | − | 0.224149i | \(-0.928040\pi\) | ||
0.974555 | − | 0.224149i | \(-0.0719604\pi\) | |||||||
\(572\) | −1.91575 | − | 3.15884i | −0.0801017 | − | 0.132078i | ||||
\(573\) | − | 10.4878i | − | 0.438134i | ||||||
\(574\) | −5.63546 | − | 17.4057i | −0.235220 | − | 0.726502i | ||||
\(575\) | 4.41867 | 0.184271 | ||||||||
\(576\) | 5.86858 | 0.244524 | ||||||||
\(577\) | − | 18.1629i | − | 0.756130i | −0.925779 | − | 0.378065i | \(-0.876590\pi\) | ||
0.925779 | − | 0.378065i | \(-0.123410\pi\) | |||||||
\(578\) | 24.3886i | 1.01443i | ||||||||
\(579\) | 8.80647 | 0.365984 | ||||||||
\(580\) | 0.986862 | 0.0409772 | ||||||||
\(581\) | 36.0412 | − | 11.6691i | 1.49524 | − | 0.484114i | ||||
\(582\) | 11.9677i | 0.496077i | ||||||||
\(583\) | −5.26311 | − | 8.67821i | −0.217976 | − | 0.359415i | ||||
\(584\) | − | 12.1008i | − | 0.500736i | ||||||
\(585\) | − | 2.83183i | − | 0.117082i | ||||||
\(586\) | − | 37.0681i | − | 1.53127i | ||||||
\(587\) | 18.4262i | 0.760532i | 0.924877 | + | 0.380266i | \(0.124168\pi\) | ||||
−0.924877 | + | 0.380266i | \(0.875832\pi\) | |||||||
\(588\) | −1.61379 | − | 2.23093i | −0.0665516 | − | 0.0920022i | ||||
\(589\) | 11.9448i | 0.492176i | ||||||||
\(590\) | − | 7.04302i | − | 0.289956i | ||||||
\(591\) | 3.67764 | 0.151278 | ||||||||
\(592\) | −15.3089 | −0.629192 | ||||||||
\(593\) | 11.6023 | 0.476448 | 0.238224 | − | 0.971210i | \(-0.423435\pi\) | ||||
0.238224 | + | 0.971210i | \(0.423435\pi\) | |||||||
\(594\) | −2.66072 | − | 4.38719i | −0.109171 | − | 0.180008i | ||||
\(595\) | 0.905798 | + | 2.79766i | 0.0371341 | + | 0.114693i | ||||
\(596\) | − | 1.42178i | − | 0.0582382i | ||||||
\(597\) | −17.7841 | −0.727854 | ||||||||
\(598\) | 19.3581i | 0.791610i | ||||||||
\(599\) | −2.82975 | −0.115620 | −0.0578102 | − | 0.998328i | \(-0.518412\pi\) | ||||
−0.0578102 | + | 0.998328i | \(0.518412\pi\) | |||||||
\(600\) | −2.48556 | −0.101473 | ||||||||
\(601\) | 34.0478 | 1.38884 | 0.694420 | − | 0.719570i | \(-0.255661\pi\) | ||||
0.694420 | + | 0.719570i | \(0.255661\pi\) | |||||||
\(602\) | −26.9484 | + | 8.72510i | −1.09834 | + | 0.355609i | ||||
\(603\) | −14.7029 | −0.598748 | ||||||||
\(604\) | − | 3.63522i | − | 0.147915i | ||||||
\(605\) | −9.75459 | − | 5.08409i | −0.396580 | − | 0.206698i | ||||
\(606\) | −22.2666 | −0.904519 | ||||||||
\(607\) | −9.36820 | −0.380244 | −0.190122 | − | 0.981761i | \(-0.560888\pi\) | ||||
−0.190122 | + | 0.981761i | \(0.560888\pi\) | |||||||
\(608\) | 5.65281i | 0.229252i | ||||||||
\(609\) | −6.31513 | + | 2.04465i | −0.255902 | + | 0.0828534i | ||||
\(610\) | 3.92554 | 0.158941 | ||||||||
\(611\) | 9.05592i | 0.366363i | ||||||||
\(612\) | 0.437189 | 0.0176723 | ||||||||
\(613\) | − | 16.8291i | − | 0.679722i | −0.940476 | − | 0.339861i | \(-0.889620\pi\) | ||
0.940476 | − | 0.339861i | \(-0.110380\pi\) | |||||||
\(614\) | 48.9783i | 1.97660i | ||||||||
\(615\) | −4.46980 | −0.180240 | ||||||||
\(616\) | 14.2585 | − | 16.5047i | 0.574489 | − | 0.664993i | ||||
\(617\) | 45.4929 | 1.83148 | 0.915739 | − | 0.401775i | \(-0.131606\pi\) | ||||
0.915739 | + | 0.401775i | \(0.131606\pi\) | |||||||
\(618\) | 0.429196i | 0.0172648i | ||||||||
\(619\) | − | 2.73967i | − | 0.110116i | −0.998483 | − | 0.0550582i | \(-0.982466\pi\) | ||
0.998483 | − | 0.0550582i | \(-0.0175344\pi\) | |||||||
\(620\) | 1.82420 | 0.0732618 | ||||||||
\(621\) | 4.41867i | 0.177315i | ||||||||
\(622\) | 21.4374 | 0.859562 | ||||||||
\(623\) | 0.479892 | + | 1.48220i | 0.0192265 | + | 0.0593830i | ||||
\(624\) | − | 13.1170i | − | 0.525099i | ||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −30.4900 | −1.21863 | ||||||||
\(627\) | −7.30406 | + | 4.42973i | −0.291696 | + | 0.176906i | ||||
\(628\) | − | 2.29833i | − | 0.0917133i | ||||||
\(629\) | 3.67342 | 0.146469 | ||||||||
\(630\) | −3.89408 | + | 1.26079i | −0.155144 | + | 0.0502309i | ||||
\(631\) | 32.1434 | 1.27961 | 0.639805 | − | 0.768537i | \(-0.279015\pi\) | ||||
0.639805 | + | 0.768537i | \(0.279015\pi\) | |||||||
\(632\) | −11.8668 | −0.472037 | ||||||||
\(633\) | 15.0841 | 0.599538 | ||||||||
\(634\) | − | 19.4849i | − | 0.773846i | ||||||
\(635\) | 17.3736 | 0.689451 | ||||||||
\(636\) | 1.20371i | 0.0477303i | ||||||||
\(637\) | 16.0612 | − | 11.6182i | 0.636368 | − | 0.460329i | ||||
\(638\) | 6.67542 | + | 11.0069i | 0.264283 | + | 0.435769i | ||||
\(639\) | 3.76969 | 0.149127 | ||||||||
\(640\) | −13.4684 | −0.532387 | ||||||||
\(641\) | 20.5371 | 0.811168 | 0.405584 | − | 0.914058i | \(-0.367068\pi\) | ||||
0.405584 | + | 0.914058i | \(0.367068\pi\) | |||||||
\(642\) | 4.70891i | 0.185846i | ||||||||
\(643\) | − | 20.8311i | − | 0.821500i | −0.911748 | − | 0.410750i | \(-0.865267\pi\) | ||
0.911748 | − | 0.410750i | \(-0.134733\pi\) | |||||||
\(644\) | 4.37491 | − | 1.41647i | 0.172396 | − | 0.0558166i | ||||
\(645\) | 6.92036i | 0.272489i | ||||||||
\(646\) | − | 4.42870i | − | 0.174245i | ||||||
\(647\) | − | 38.0636i | − | 1.49643i | −0.663454 | − | 0.748217i | \(-0.730910\pi\) | ||
0.663454 | − | 0.748217i | \(-0.269090\pi\) | |||||||
\(648\) | − | 2.48556i | − | 0.0976422i | ||||||
\(649\) | 12.9104 | − | 7.82982i | 0.506777 | − | 0.307347i | ||||
\(650\) | 4.38097i | 0.171836i | ||||||||
\(651\) | −11.6734 | + | 3.77951i | −0.457518 | + | 0.148131i | ||||
\(652\) | 3.83825 | 0.150318 | ||||||||
\(653\) | 8.11098 | 0.317407 | 0.158704 | − | 0.987326i | \(-0.449269\pi\) | ||||
0.158704 | + | 0.987326i | \(0.449269\pi\) | |||||||
\(654\) | − | 20.1752i | − | 0.788912i | ||||||
\(655\) | − | 15.0601i | − | 0.588446i | ||||||
\(656\) | −20.7040 | −0.808354 | ||||||||
\(657\) | −4.86845 | −0.189936 | ||||||||
\(658\) | 12.4529 | − | 4.03187i | 0.485463 | − | 0.157179i | ||||
\(659\) | 47.7491i | 1.86004i | 0.367505 | + | 0.930021i | \(0.380212\pi\) | ||||
−0.367505 | + | 0.930021i | \(0.619788\pi\) | |||||||
\(660\) | 0.676507 | + | 1.11547i | 0.0263330 | + | 0.0434198i | ||||
\(661\) | − | 10.3686i | − | 0.403293i | −0.979458 | − | 0.201646i | \(-0.935371\pi\) | ||
0.979458 | − | 0.201646i | \(-0.0646292\pi\) | |||||||
\(662\) | 19.3464i | 0.751919i | ||||||||
\(663\) | 3.14746i | 0.122237i | ||||||||
\(664\) | − | 35.5895i | − | 1.38114i | ||||||
\(665\) | 2.09904 | + | 6.48311i | 0.0813972 | + | 0.251404i | ||||
\(666\) | 5.11306i | 0.198127i | ||||||||
\(667\) | − | 11.0859i | − | 0.429248i | ||||||
\(668\) | 3.71901 | 0.143893 | ||||||||
\(669\) | −21.2206 | −0.820438 | ||||||||
\(670\) | 22.7460 | 0.878756 | ||||||||
\(671\) | 4.36408 | + | 7.19582i | 0.168473 | + | 0.277791i | ||||
\(672\) | −5.52440 | + | 1.78864i | −0.213108 | + | 0.0689982i | ||||
\(673\) | − | 32.3798i | − | 1.24815i | −0.781365 | − | 0.624074i | \(-0.785476\pi\) | ||
0.781365 | − | 0.624074i | \(-0.214524\pi\) | |||||||
\(674\) | −6.01661 | −0.231751 | ||||||||
\(675\) | 1.00000i | 0.0384900i | ||||||||
\(676\) | 1.95915 | 0.0753521 | ||||||||
\(677\) | 24.5861 | 0.944922 | 0.472461 | − | 0.881351i | \(-0.343366\pi\) | ||||
0.472461 | + | 0.881351i | \(0.343366\pi\) | |||||||
\(678\) | −17.1860 | −0.660026 | ||||||||
\(679\) | 6.30445 | + | 19.4720i | 0.241942 | + | 0.747266i | ||||
\(680\) | 2.76260 | 0.105941 | ||||||||
\(681\) | 6.71340i | 0.257258i | ||||||||
\(682\) | 12.3394 | + | 20.3462i | 0.472502 | + | 0.779096i | ||||
\(683\) | −38.3901 | −1.46896 | −0.734478 | − | 0.678633i | \(-0.762573\pi\) | ||||
−0.734478 | + | 0.678633i | \(0.762573\pi\) | |||||||
\(684\) | 1.01311 | 0.0387373 | ||||||||
\(685\) | 4.33359i | 0.165578i | ||||||||
\(686\) | −23.1270 | − | 16.9133i | −0.882994 | − | 0.645752i | ||||
\(687\) | −25.9762 | −0.991053 | ||||||||
\(688\) | 32.0549i | 1.22208i | ||||||||
\(689\) | −8.66591 | −0.330145 | ||||||||
\(690\) | − | 6.83588i | − | 0.260237i | ||||||
\(691\) | 13.7707i | 0.523863i | 0.965086 | + | 0.261932i | \(0.0843595\pi\) | ||||
−0.965086 | + | 0.261932i | \(0.915640\pi\) | |||||||
\(692\) | 2.41153 | 0.0916725 | ||||||||
\(693\) | −6.64022 | − | 5.73651i | −0.252241 | − | 0.217912i | ||||
\(694\) | −8.71965 | −0.330993 | ||||||||
\(695\) | − | 10.9554i | − | 0.415561i | ||||||
\(696\) | 6.23598i | 0.236374i | ||||||||
\(697\) | 4.96799 | 0.188176 | ||||||||
\(698\) | 8.04822i | 0.304630i | ||||||||
\(699\) | −0.0686068 | −0.00259495 | ||||||||
\(700\) | 0.990098 | − | 0.320564i | 0.0374222 | − | 0.0121162i | ||||
\(701\) | − | 19.7289i | − | 0.745149i | −0.928002 | − | 0.372575i | \(-0.878475\pi\) | ||
0.928002 | − | 0.372575i | \(-0.121525\pi\) | |||||||
\(702\) | −4.38097 | −0.165349 | ||||||||
\(703\) | 8.51255 | 0.321057 | ||||||||
\(704\) | −10.0932 | − | 16.6424i | −0.380402 | − | 0.627235i | ||||
\(705\) | − | 3.19790i | − | 0.120440i | ||||||
\(706\) | −5.67174 | −0.213459 | ||||||||
\(707\) | −36.2287 | + | 11.7298i | −1.36252 | + | 0.441144i | ||||
\(708\) | −1.79074 | −0.0673001 | ||||||||
\(709\) | −1.84456 | −0.0692737 | −0.0346369 | − | 0.999400i | \(-0.511027\pi\) | ||||
−0.0346369 | + | 0.999400i | \(0.511027\pi\) | |||||||
\(710\) | −5.83189 | −0.218867 | ||||||||
\(711\) | 4.77430i | 0.179050i | ||||||||
\(712\) | 1.46362 | 0.0548516 | ||||||||
\(713\) | − | 20.4922i | − | 0.767439i | ||||||
\(714\) | 4.32810 | − | 1.40131i | 0.161975 | − | 0.0524427i | ||||
\(715\) | −8.03065 | + | 4.87039i | −0.300329 | + | 0.182142i | ||||
\(716\) | 9.90813 | 0.370284 | ||||||||
\(717\) | 21.9557 | 0.819949 | ||||||||
\(718\) | 11.3915 | 0.425126 | ||||||||
\(719\) | − | 5.92835i | − | 0.221090i | −0.993871 | − | 0.110545i | \(-0.964740\pi\) | ||
0.993871 | − | 0.110545i | \(-0.0352597\pi\) | |||||||
\(720\) | 4.63197i | 0.172623i | ||||||||
\(721\) | 0.226095 | + | 0.698320i | 0.00842023 | + | 0.0260068i | ||||
\(722\) | 19.1311i | 0.711984i | ||||||||
\(723\) | 3.80239i | 0.141412i | ||||||||
\(724\) | 1.35559i | 0.0503801i | ||||||||
\(725\) | − | 2.50888i | − | 0.0931775i | ||||||
\(726\) | −7.86531 | + | 15.0908i | −0.291909 | + | 0.560072i | ||||
\(727\) | 24.2778i | 0.900414i | 0.892924 | + | 0.450207i | \(0.148650\pi\) | ||||
−0.892924 | + | 0.450207i | \(0.851350\pi\) | |||||||
\(728\) | −5.73629 | − | 17.7172i | −0.212601 | − | 0.656642i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 7.53170 | 0.278761 | ||||||||
\(731\) | − | 7.69168i | − | 0.284487i | ||||||
\(732\) | − | 0.998098i | − | 0.0368908i | ||||||
\(733\) | 6.93569 | 0.256175 | 0.128088 | − | 0.991763i | \(-0.459116\pi\) | ||||
0.128088 | + | 0.991763i | \(0.459116\pi\) | |||||||
\(734\) | 50.6889 | 1.87096 | ||||||||
\(735\) | −5.67167 | + | 4.10271i | −0.209203 | + | 0.151331i | ||||
\(736\) | − | 9.69783i | − | 0.357467i | ||||||
\(737\) | 25.2871 | + | 41.6952i | 0.931461 | + | 1.53586i | ||||
\(738\) | 6.91498i | 0.254544i | ||||||||
\(739\) | 19.8673i | 0.730829i | 0.930845 | + | 0.365414i | \(0.119073\pi\) | ||||
−0.930845 | + | 0.365414i | \(0.880927\pi\) | |||||||
\(740\) | − | 1.30003i | − | 0.0477902i | ||||||
\(741\) | 7.29372i | 0.267941i | ||||||||
\(742\) | 3.85823 | + | 11.9166i | 0.141640 | + | 0.437471i | ||||
\(743\) | − | 20.2006i | − | 0.741088i | −0.928815 | − | 0.370544i | \(-0.879171\pi\) | ||
0.928815 | − | 0.370544i | \(-0.120829\pi\) | |||||||
\(744\) | 11.5272i | 0.422606i | ||||||||
\(745\) | −3.61456 | −0.132427 | ||||||||
\(746\) | 6.67199 | 0.244279 | ||||||||
\(747\) | −14.3185 | −0.523886 | ||||||||
\(748\) | −0.751908 | − | 1.23980i | −0.0274925 | − | 0.0453316i | ||||
\(749\) | 2.48060 | + | 7.66159i | 0.0906390 | + | 0.279948i | ||||
\(750\) | − | 1.54704i | − | 0.0564901i | ||||||
\(751\) | 42.8386 | 1.56320 | 0.781601 | − | 0.623779i | \(-0.214404\pi\) | ||||
0.781601 | + | 0.623779i | \(0.214404\pi\) | |||||||
\(752\) | − | 14.8126i | − | 0.540159i | ||||||
\(753\) | −18.0105 | −0.656339 | ||||||||
\(754\) | 10.9913 | 0.400281 | ||||||||
\(755\) | −9.24176 | −0.336342 | ||||||||
\(756\) | 0.320564 | + | 0.990098i | 0.0116588 | + | 0.0360095i | ||||
\(757\) | −8.12642 | −0.295360 | −0.147680 | − | 0.989035i | \(-0.547181\pi\) | ||||
−0.147680 | + | 0.989035i | \(0.547181\pi\) | |||||||
\(758\) | 53.0401i | 1.92650i | ||||||||
\(759\) | 12.5307 | − | 7.59954i | 0.454835 | − | 0.275846i | ||||
\(760\) | 6.40186 | 0.232220 | ||||||||
\(761\) | −16.4058 | −0.594708 | −0.297354 | − | 0.954767i | \(-0.596104\pi\) | ||||
−0.297354 | + | 0.954767i | \(0.596104\pi\) | |||||||
\(762\) | − | 26.8778i | − | 0.973679i | ||||||
\(763\) | −10.6280 | − | 32.8259i | −0.384761 | − | 1.18838i | ||||
\(764\) | 4.12535 | 0.149250 | ||||||||
\(765\) | − | 1.11146i | − | 0.0401848i | ||||||
\(766\) | 29.5326 | 1.06706 | ||||||||
\(767\) | − | 12.8921i | − | 0.465506i | ||||||
\(768\) | 9.09912i | 0.328336i | ||||||||
\(769\) | 42.1218 | 1.51895 | 0.759475 | − | 0.650536i | \(-0.225456\pi\) | ||||
0.759475 | + | 0.650536i | \(0.225456\pi\) | |||||||
\(770\) | 10.2727 | + | 8.87463i | 0.370203 | + | 0.319820i | ||||
\(771\) | 11.0756 | 0.398877 | ||||||||
\(772\) | 3.46400i | 0.124672i | ||||||||
\(773\) | − | 22.5199i | − | 0.809983i | −0.914320 | − | 0.404991i | \(-0.867275\pi\) | ||
0.914320 | − | 0.404991i | \(-0.132725\pi\) | |||||||
\(774\) | 10.7061 | 0.384823 | ||||||||
\(775\) | − | 4.63764i | − | 0.166589i | ||||||
\(776\) | 19.2279 | 0.690243 | ||||||||
\(777\) | 2.69350 | + | 8.31917i | 0.0966288 | + | 0.298449i | ||||
\(778\) | 39.9954i | 1.43391i | ||||||||
\(779\) | 11.5125 | 0.412478 | ||||||||
\(780\) | 1.11389 | 0.0398838 | ||||||||
\(781\) | −6.48339 | − | 10.6903i | −0.231994 | − | 0.382529i | ||||
\(782\) | 7.59778i | 0.271696i | ||||||||
\(783\) | 2.50888 | 0.0896601 | ||||||||
\(784\) | −26.2710 | + | 19.0036i | −0.938250 | + | 0.678701i | ||||
\(785\) | −5.84300 | −0.208546 | ||||||||
\(786\) | −23.2986 | −0.831035 | ||||||||
\(787\) | −22.5618 | −0.804242 | −0.402121 | − | 0.915587i | \(-0.631727\pi\) | ||||
−0.402121 | + | 0.915587i | \(0.631727\pi\) | |||||||
\(788\) | 1.44659i | 0.0515327i | ||||||||
\(789\) | 3.71325 | 0.132195 | ||||||||
\(790\) | − | 7.38606i | − | 0.262784i | ||||||
\(791\) | −27.9624 | + | 9.05340i | −0.994230 | + | 0.321902i | ||||
\(792\) | −7.04869 | + | 4.27485i | −0.250464 | + | 0.151900i | ||||
\(793\) | 7.18562 | 0.255169 | ||||||||
\(794\) | −41.5597 | −1.47490 | ||||||||
\(795\) | 3.06018 | 0.108533 | ||||||||
\(796\) | − | 6.99532i | − | 0.247942i | ||||||
\(797\) | 39.0541i | 1.38337i | 0.722201 | + | 0.691683i | \(0.243131\pi\) | ||||
−0.722201 | + | 0.691683i | \(0.756869\pi\) | |||||||
\(798\) | 10.0297 | − | 3.24730i | 0.355046 | − | 0.114953i | ||||
\(799\) | 3.55433i | 0.125743i | ||||||||
\(800\) | − | 2.19474i | − | 0.0775958i | ||||||
\(801\) | − | 0.588850i | − | 0.0208060i | ||||||
\(802\) | − | 59.1221i | − | 2.08768i | ||||||
\(803\) | 8.37310 | + | 13.8062i | 0.295480 | + | 0.487210i | ||||
\(804\) | − | 5.78334i | − | 0.203963i | ||||||
\(805\) | −3.60106 | − | 11.1223i | −0.126921 | − | 0.392008i | ||||
\(806\) | 20.3174 | 0.715649 | ||||||||
\(807\) | 26.7827 | 0.942796 | ||||||||
\(808\) | 35.7747i | 1.25855i | ||||||||
\(809\) | 6.16340i | 0.216694i | 0.994113 | + | 0.108347i | \(0.0345557\pi\) | ||||
−0.994113 | + | 0.108347i | \(0.965444\pi\) | |||||||
\(810\) | 1.54704 | 0.0543576 | ||||||||
\(811\) | 2.18332 | 0.0766668 | 0.0383334 | − | 0.999265i | \(-0.487795\pi\) | ||||
0.0383334 | + | 0.999265i | \(0.487795\pi\) | |||||||
\(812\) | −0.804258 | − | 2.48404i | −0.0282239 | − | 0.0871726i | ||||
\(813\) | 18.8021i | 0.659420i | ||||||||
\(814\) | 14.4999 | − | 8.79381i | 0.508221 | − | 0.308223i | ||||
\(815\) | − | 9.75792i | − | 0.341805i | ||||||
\(816\) | − | 5.14824i | − | 0.180224i | ||||||
\(817\) | − | 17.8242i | − | 0.623590i | ||||||
\(818\) | 52.2006i | 1.82515i | ||||||||
\(819\) | −7.12803 | + | 2.30784i | −0.249073 | + | 0.0806426i | ||||
\(820\) | − | 1.75818i | − | 0.0613984i | ||||||
\(821\) | 0.700047i | 0.0244318i | 0.999925 | + | 0.0122159i | \(0.00388854\pi\) | ||||
−0.999925 | + | 0.0122159i | \(0.996111\pi\) | |||||||
\(822\) | 6.70425 | 0.233838 | ||||||||
\(823\) | −4.81852 | −0.167963 | −0.0839815 | − | 0.996467i | \(-0.526764\pi\) | ||||
−0.0839815 | + | 0.996467i | \(0.526764\pi\) | |||||||
\(824\) | 0.689569 | 0.0240223 | ||||||||
\(825\) | 2.83585 | − | 1.71987i | 0.0987316 | − | 0.0598782i | ||||
\(826\) | −17.7280 | + | 5.73981i | −0.616837 | + | 0.199714i | ||||
\(827\) | 19.7114i | 0.685431i | 0.939439 | + | 0.342716i | \(0.111347\pi\) | ||||
−0.939439 | + | 0.342716i | \(0.888653\pi\) | |||||||
\(828\) | −1.73807 | −0.0604021 | ||||||||
\(829\) | 38.4947i | 1.33698i | 0.743722 | + | 0.668489i | \(0.233059\pi\) | ||||
−0.743722 | + | 0.668489i | \(0.766941\pi\) | |||||||
\(830\) | 22.1513 | 0.768884 | ||||||||
\(831\) | −18.8093 | −0.652487 | ||||||||
\(832\) | −16.6188 | −0.576155 | ||||||||
\(833\) | 6.30381 | − | 4.55998i | 0.218414 | − | 0.157994i | ||||
\(834\) | −16.9484 | −0.586877 | ||||||||
\(835\) | − | 9.45478i | − | 0.327196i | ||||||
\(836\) | −1.74242 | − | 2.87303i | −0.0602629 | − | 0.0993660i | ||||
\(837\) | 4.63764 | 0.160300 | ||||||||
\(838\) | −7.65564 | −0.264460 | ||||||||
\(839\) | − | 36.7334i | − | 1.26818i | −0.773260 | − | 0.634089i | \(-0.781375\pi\) | ||
0.773260 | − | 0.634089i | \(-0.218625\pi\) | |||||||
\(840\) | 2.02565 | + | 6.25643i | 0.0698914 | + | 0.215867i | ||||
\(841\) | 22.7055 | 0.782949 | ||||||||
\(842\) | − | 56.7932i | − | 1.95722i | ||||||
\(843\) | 6.00260 | 0.206741 | ||||||||
\(844\) | 5.93327i | 0.204232i | ||||||||
\(845\) | − | 4.98072i | − | 0.171342i | ||||||
\(846\) | −4.94729 | −0.170091 | ||||||||
\(847\) | −4.84756 | + | 28.6967i | −0.166564 | + | 0.986031i | ||||
\(848\) | 14.1747 | 0.486760 | ||||||||
\(849\) | − | 5.80703i | − | 0.199297i | ||||||
\(850\) | 1.71947i | 0.0589774i | ||||||||
\(851\) | −14.6039 | −0.500616 | ||||||||
\(852\) | 1.48280i | 0.0507999i | ||||||||
\(853\) | 15.9526 | 0.546206 | 0.273103 | − | 0.961985i | \(-0.411950\pi\) | ||||
0.273103 | + | 0.961985i | \(0.411950\pi\) | |||||||
\(854\) | −3.19918 | − | 9.88101i | −0.109474 | − | 0.338121i | ||||
\(855\) | − | 2.57562i | − | 0.0880842i | ||||||
\(856\) | 7.56558 | 0.258586 | ||||||||
\(857\) | 24.7265 | 0.844642 | 0.422321 | − | 0.906446i | \(-0.361216\pi\) | ||||
0.422321 | + | 0.906446i | \(0.361216\pi\) | |||||||
\(858\) | 7.53470 | + | 12.4238i | 0.257231 | + | 0.424141i | ||||
\(859\) | 42.5190i | 1.45073i | 0.688365 | + | 0.725364i | \(0.258329\pi\) | ||||
−0.688365 | + | 0.725364i | \(0.741671\pi\) | |||||||
\(860\) | −2.72211 | −0.0928230 | ||||||||
\(861\) | 3.64273 | + | 11.2510i | 0.124144 | + | 0.383432i | ||||
\(862\) | 29.5856 | 1.00769 | ||||||||
\(863\) | 21.7576 | 0.740639 | 0.370319 | − | 0.928904i | \(-0.379248\pi\) | ||||
0.370319 | + | 0.928904i | \(0.379248\pi\) | |||||||
\(864\) | 2.19474 | 0.0746666 | ||||||||
\(865\) | − | 6.13078i | − | 0.208453i | ||||||
\(866\) | −35.6952 | −1.21297 | ||||||||
\(867\) | − | 15.7647i | − | 0.535396i | ||||||
\(868\) | −1.48666 | − | 4.59172i | −0.0504606 | − | 0.155853i | ||||
\(869\) | 13.5392 | − | 8.21118i | 0.459286 | − | 0.278545i | ||||
\(870\) | −3.88135 | −0.131590 | ||||||||
\(871\) | 41.6361 | 1.41079 | ||||||||
\(872\) | −32.4145 | −1.09769 | ||||||||
\(873\) | − | 7.73585i | − | 0.261819i | ||||||
\(874\) | 17.6066i | 0.595552i | ||||||||
\(875\) | −0.814965 | − | 2.51711i | −0.0275508 | − | 0.0850938i | ||||
\(876\) | − | 1.91499i | − | 0.0647015i | ||||||
\(877\) | 47.3365i | 1.59844i | 0.601039 | + | 0.799220i | \(0.294754\pi\) | ||||
−0.601039 | + | 0.799220i | \(0.705246\pi\) | |||||||
\(878\) | 39.6204i | 1.33712i | ||||||||
\(879\) | 23.9606i | 0.808172i | ||||||||
\(880\) | 13.1356 | − | 7.96639i | 0.442800 | − | 0.268547i | ||||
\(881\) | 17.6494i | 0.594624i | 0.954780 | + | 0.297312i | \(0.0960902\pi\) | ||||
−0.954780 | + | 0.297312i | \(0.903910\pi\) | |||||||
\(882\) | 6.34707 | + | 8.77432i | 0.213717 | + | 0.295447i | ||||
\(883\) | −4.14662 | −0.139545 | −0.0697724 | − | 0.997563i | \(-0.522227\pi\) | ||||
−0.0697724 | + | 0.997563i | \(0.522227\pi\) | |||||||
\(884\) | −1.23804 | −0.0416400 | ||||||||
\(885\) | 4.55256i | 0.153033i | ||||||||
\(886\) | 14.9138i | 0.501038i | ||||||||
\(887\) | 43.7710 | 1.46969 | 0.734843 | − | 0.678237i | \(-0.237256\pi\) | ||||
0.734843 | + | 0.678237i | \(0.237256\pi\) | |||||||
\(888\) | 8.21492 | 0.275675 | ||||||||
\(889\) | −14.1589 | − | 43.7313i | −0.474874 | − | 1.46670i | ||||
\(890\) | 0.910977i | 0.0305360i | ||||||||
\(891\) | 1.71987 | + | 2.83585i | 0.0576178 | + | 0.0950045i | ||||
\(892\) | − | 8.34709i | − | 0.279481i | ||||||
\(893\) | 8.23656i | 0.275626i | ||||||||
\(894\) | 5.59188i | 0.187020i | ||||||||
\(895\) | − | 25.1893i | − | 0.841984i | ||||||
\(896\) | 10.9763 | + | 33.9015i | 0.366693 | + | 1.13257i | ||||
\(897\) | − | 12.5129i | − | 0.417794i | ||||||
\(898\) | − | 55.9025i | − | 1.86549i | ||||||
\(899\) | −11.6353 | −0.388059 | ||||||||
\(900\) | −0.393347 | −0.0131116 | ||||||||
\(901\) | −3.40126 | −0.113312 | ||||||||
\(902\) | 19.6098 | − | 11.8929i | 0.652936 | − | 0.395989i | ||||
\(903\) | 17.4193 | − | 5.63985i | 0.579678 | − | 0.187682i | ||||
\(904\) | 27.6120i | 0.918362i | ||||||||
\(905\) | 3.44629 | 0.114559 | ||||||||
\(906\) | 14.2974i | 0.475000i | ||||||||
\(907\) | −30.0208 | −0.996824 | −0.498412 | − | 0.866940i | \(-0.666083\pi\) | ||||
−0.498412 | + | 0.866940i | \(0.666083\pi\) | |||||||
\(908\) | −2.64070 | −0.0876346 | ||||||||
\(909\) | 14.3930 | 0.477385 | ||||||||
\(910\) | 11.0274 | − | 3.57034i | 0.365554 | − | 0.118356i | ||||
\(911\) | 26.2565 | 0.869916 | 0.434958 | − | 0.900451i | \(-0.356763\pi\) | ||||
0.434958 | + | 0.900451i | \(0.356763\pi\) | |||||||
\(912\) | − | 11.9302i | − | 0.395048i | ||||||
\(913\) | 24.6259 | + | 40.6051i | 0.814999 | + | 1.34383i | ||||
\(914\) | 42.3544 | 1.40096 | ||||||||
\(915\) | −2.53745 | −0.0838854 | ||||||||
\(916\) | − | 10.2177i | − | 0.337601i | ||||||
\(917\) | −37.9079 | + | 12.2734i | −1.25183 | + | 0.405305i | ||||
\(918\) | −1.71947 | −0.0567511 | ||||||||
\(919\) | 7.49311i | 0.247175i | 0.992334 | + | 0.123587i | \(0.0394399\pi\) | ||||
−0.992334 | + | 0.123587i | \(0.960560\pi\) | |||||||
\(920\) | −10.9829 | −0.362095 | ||||||||
\(921\) | − | 31.6593i | − | 1.04321i | ||||||
\(922\) | 26.2932i | 0.865920i | ||||||||
\(923\) | −10.6751 | −0.351377 | ||||||||
\(924\) | 2.25644 | − | 2.61191i | 0.0742314 | − | 0.0859256i | ||||
\(925\) | −3.30505 | −0.108669 | ||||||||
\(926\) | − | 8.23491i | − | 0.270616i | ||||||
\(927\) | − | 0.277430i | − | 0.00911198i | ||||||
\(928\) | −5.50635 | −0.180755 | ||||||||
\(929\) | 33.5283i | 1.10003i | 0.835155 | + | 0.550014i | \(0.185378\pi\) | ||||
−0.835155 | + | 0.550014i | \(0.814622\pi\) | |||||||
\(930\) | −7.17464 | −0.235266 | ||||||||
\(931\) | 14.6080 | − | 10.5670i | 0.478759 | − | 0.346320i | ||||
\(932\) | − | 0.0269863i | − | 0.000883966i | ||||||
\(933\) | −13.8570 | −0.453658 | ||||||||
\(934\) | −53.0802 | −1.73684 | ||||||||
\(935\) | −3.15192 | + | 1.91156i | −0.103079 | + | 0.0625148i | ||||
\(936\) | 7.03870i | 0.230067i | ||||||||
\(937\) | −32.9338 | −1.07590 | −0.537951 | − | 0.842976i | \(-0.680801\pi\) | ||||
−0.537951 | + | 0.842976i | \(0.680801\pi\) | |||||||
\(938\) | −18.5372 | − | 57.2542i | −0.605261 | − | 1.86942i | ||||
\(939\) | 19.7086 | 0.643165 | ||||||||
\(940\) | 1.25789 | 0.0410277 | ||||||||
\(941\) | −5.85991 | −0.191028 | −0.0955138 | − | 0.995428i | \(-0.530449\pi\) | ||||
−0.0955138 | + | 0.995428i | \(0.530449\pi\) | |||||||
\(942\) | 9.03939i | 0.294519i | ||||||||
\(943\) | −19.7505 | −0.643166 | ||||||||
\(944\) | 21.0873i | 0.686335i | ||||||||
\(945\) | 2.51711 | − | 0.814965i | 0.0818815 | − | 0.0265108i | ||||
\(946\) | −18.4131 | − | 30.3609i | −0.598662 | − | 0.987119i | ||||
\(947\) | 35.0508 | 1.13900 | 0.569499 | − | 0.821992i | \(-0.307137\pi\) | ||||
0.569499 | + | 0.821992i | \(0.307137\pi\) | |||||||
\(948\) | −1.87796 | −0.0609933 | ||||||||
\(949\) | 13.7866 | 0.447533 | ||||||||
\(950\) | 3.98459i | 0.129277i | ||||||||
\(951\) | 12.5949i | 0.408419i | ||||||||
\(952\) | −2.25142 | − | 6.95375i | −0.0729689 | − | 0.225372i | ||||
\(953\) | 54.5247i | 1.76623i | 0.469157 | + | 0.883115i | \(0.344558\pi\) | ||||
−0.469157 | + | 0.883115i | \(0.655442\pi\) | |||||||
\(954\) | − | 4.73423i | − | 0.153276i | ||||||
\(955\) | − | 10.4878i | − | 0.339377i | ||||||
\(956\) | 8.63620i | 0.279315i | ||||||||
\(957\) | −4.31495 | − | 7.11481i | −0.139483 | − | 0.229989i | ||||
\(958\) | 64.6861i | 2.08991i | ||||||||
\(959\) | 10.9081 | − | 3.53172i | 0.352241 | − | 0.114045i | ||||
\(960\) | 5.86858 | 0.189408 | ||||||||
\(961\) | 9.49229 | 0.306203 | ||||||||
\(962\) | − | 14.4793i | − | 0.466833i | ||||||
\(963\) | − | 3.04381i | − | 0.0980853i | ||||||
\(964\) | −1.49566 | −0.0481719 | ||||||||
\(965\) | 8.80647 | 0.283490 | ||||||||
\(966\) | −17.2066 | + | 5.57100i | −0.553614 | + | 0.179244i | ||||
\(967\) | − | 51.3259i | − | 1.65053i | −0.564746 | − | 0.825265i | \(-0.691026\pi\) | ||
0.564746 | − | 0.825265i | \(-0.308974\pi\) | |||||||
\(968\) | 24.2457 | + | 12.6368i | 0.779285 | + | 0.406163i | ||||
\(969\) | 2.86269i | 0.0919627i | ||||||||
\(970\) | 11.9677i | 0.384260i | ||||||||
\(971\) | 54.7672i | 1.75756i | 0.477223 | + | 0.878782i | \(0.341643\pi\) | ||||
−0.477223 | + | 0.878782i | \(0.658357\pi\) | |||||||
\(972\) | − | 0.393347i | − | 0.0126166i | ||||||
\(973\) | −27.5758 | + | 8.92824i | −0.884041 | + | 0.286226i | ||||
\(974\) | 55.6091i | 1.78183i | ||||||||
\(975\) | − | 2.83183i | − | 0.0906912i | ||||||
\(976\) | −11.7534 | −0.376217 | ||||||||
\(977\) | −4.96135 | −0.158728 | −0.0793638 | − | 0.996846i | \(-0.525289\pi\) | ||||
−0.0793638 | + | 0.996846i | \(0.525289\pi\) | |||||||
\(978\) | −15.0959 | −0.482715 | ||||||||
\(979\) | −1.66989 | + | 1.01275i | −0.0533699 | + | 0.0323675i | ||||
\(980\) | −1.61379 | − | 2.23093i | −0.0515506 | − | 0.0712646i | ||||
\(981\) | 13.0411i | 0.416371i | ||||||||
\(982\) | −57.3973 | −1.83162 | ||||||||
\(983\) | 5.00619i | 0.159673i | 0.996808 | + | 0.0798363i | \(0.0254397\pi\) | ||||
−0.996808 | + | 0.0798363i | \(0.974560\pi\) | |||||||
\(984\) | 11.1100 | 0.354173 | ||||||||
\(985\) | 3.67764 | 0.117180 | ||||||||
\(986\) | 4.31395 | 0.137384 | ||||||||
\(987\) | −8.04946 | + | 2.60618i | −0.256217 | + | 0.0829555i | ||||
\(988\) | −2.86896 | −0.0912739 | ||||||||
\(989\) | 30.5788i | 0.972348i | ||||||||
\(990\) | −2.66072 | − | 4.38719i | −0.0845631 | − | 0.139434i | ||||
\(991\) | −52.4293 | −1.66547 | −0.832735 | − | 0.553671i | \(-0.813226\pi\) | ||||
−0.832735 | + | 0.553671i | \(0.813226\pi\) | |||||||
\(992\) | −10.1784 | −0.323165 | ||||||||
\(993\) | − | 12.5054i | − | 0.396847i | ||||||
\(994\) | 4.75278 | + | 14.6795i | 0.150749 | + | 0.465605i | ||||
\(995\) | −17.7841 | −0.563793 | ||||||||
\(996\) | − | 5.63214i | − | 0.178461i | ||||||
\(997\) | 5.93448 | 0.187947 | 0.0939734 | − | 0.995575i | \(-0.470043\pi\) | ||||
0.0939734 | + | 0.995575i | \(0.470043\pi\) | |||||||
\(998\) | − | 34.6410i | − | 1.09654i | ||||||
\(999\) | − | 3.30505i | − | 0.104567i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1155.2.i.d.76.19 | yes | 32 | |
7.6 | odd | 2 | inner | 1155.2.i.d.76.13 | ✓ | 32 | |
11.10 | odd | 2 | inner | 1155.2.i.d.76.14 | yes | 32 | |
77.76 | even | 2 | inner | 1155.2.i.d.76.20 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1155.2.i.d.76.13 | ✓ | 32 | 7.6 | odd | 2 | inner | |
1155.2.i.d.76.14 | yes | 32 | 11.10 | odd | 2 | inner | |
1155.2.i.d.76.19 | yes | 32 | 1.1 | even | 1 | trivial | |
1155.2.i.d.76.20 | yes | 32 | 77.76 | even | 2 | inner |