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 | 76.14 | ||
Character | \(\chi\) | \(=\) | 1155.76 |
Dual form | 1155.2.i.d.76.13 |
$q$-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 | \(0.184216\pi\) | ||||
−0.837157 | + | 0.546963i | \(0.815784\pi\) | |||||||
\(3\) | 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 | \(-0.628460\pi\) | ||||
−0.392705 | + | 0.919665i | \(0.628460\pi\) | |||||||
\(14\) | −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 | \(-0.543034\pi\) | ||||
−0.134784 | + | 0.990875i | \(0.543034\pi\) | |||||||
\(18\) | − | 1.54704i | − | 0.364642i | ||||||
\(19\) | −2.57562 | −0.590887 | −0.295444 | − | 0.955360i | \(-0.595467\pi\) | ||||
−0.295444 | + | 0.955360i | \(0.595467\pi\) | |||||||
\(20\) | − | 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 | \(-0.925164\pi\) | ||
0.972490 | − | 0.232944i | \(-0.0748358\pi\) | |||||||
\(30\) | − | 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 | \(-0.613490\pi\) | ||||
−0.349032 | + | 0.937111i | \(0.613490\pi\) | |||||||
\(42\) | 3.89408 | − | 1.26079i | 0.600869 | − | 0.194544i | ||||
\(43\) | 6.92036i | 1.05535i | 0.849448 | + | 0.527673i | \(0.176935\pi\) | ||||
−0.849448 | + | 0.527673i | \(0.823065\pi\) | |||||||
\(44\) | −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 | \(-0.551937\pi\) | ||||
−0.162443 | + | 0.986718i | \(0.551937\pi\) | |||||||
\(62\) | −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 | \(-0.591962\pi\) | ||||
−0.284904 | + | 0.958556i | \(0.591962\pi\) | |||||||
\(74\) | 5.11306i | 0.594381i | ||||||||
\(75\) | − | 1.00000i | − | 0.115470i | ||||||
\(76\) | 1.01311 | 0.116212 | ||||||||
\(77\) | −2.01798 | + | 8.53977i | −0.229970 | + | 0.973198i | ||||
\(78\) | 4.38097 | 0.496047 | ||||||||
\(79\) | 4.77430i | 0.537151i | 0.963259 | + | 0.268575i | \(0.0865529\pi\) | ||||
−0.963259 | + | 0.268575i | \(0.913447\pi\) | |||||||
\(80\) | − | 4.63197i | − | 0.517870i | ||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 6.91498i | − | 0.763631i | ||||||
\(83\) | −14.3185 | −1.57166 | −0.785829 | − | 0.618444i | \(-0.787763\pi\) | ||||
−0.785829 | + | 0.618444i | \(0.787763\pi\) | |||||||
\(84\) | 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 | \(-0.245935\pi\) | ||||
0.716078 | + | 0.698020i | \(0.245935\pi\) | |||||||
\(102\) | 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 | \(-0.952997\pi\) | ||
0.989117 | − | 0.147128i | \(-0.0470029\pi\) | |||||||
\(108\) | 0.393347i | 0.0378499i | ||||||||
\(109\) | 13.0411i | 1.24911i | 0.780980 | + | 0.624556i | \(0.214720\pi\) | ||||
−0.780980 | + | 0.624556i | \(0.785280\pi\) | |||||||
\(110\) | −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 | \(0.280158\pi\) | ||||
−0.637041 | + | 0.770830i | \(0.719842\pi\) | |||||||
\(128\) | − | 13.4684i | − | 1.19045i | ||||||
\(129\) | −6.92036 | −0.609304 | ||||||||
\(130\) | 4.38097 | 0.384237 | ||||||||
\(131\) | 15.0601 | 1.31581 | 0.657903 | − | 0.753103i | \(-0.271444\pi\) | ||||
0.657903 | + | 0.753103i | \(0.271444\pi\) | |||||||
\(132\) | −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 | \(-0.346194\pi\) | ||||
0.464611 | + | 0.885515i | \(0.346194\pi\) | |||||||
\(140\) | 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 | \(-0.952698\pi\) | ||
0.988979 | − | 0.148058i | \(-0.0473022\pi\) | |||||||
\(150\) | 1.54704 | 0.126316 | ||||||||
\(151\) | − | 9.24176i | − | 0.752083i | −0.926603 | − | 0.376042i | \(-0.877285\pi\) | ||
0.926603 | − | 0.376042i | \(-0.122715\pi\) | |||||||
\(152\) | − | 6.40186i | − | 0.519259i | ||||||
\(153\) | 1.11146 | 0.0898559 | ||||||||
\(154\) | −13.2114 | − | 3.12191i | −1.06461 | − | 0.251571i | ||||
\(155\) | −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 | \(-0.380790\pi\) | ||||
0.365816 | + | 0.930687i | \(0.380790\pi\) | |||||||
\(168\) | 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 | \(-0.425127\pi\) | ||||
0.233057 | + | 0.972463i | \(0.425127\pi\) | |||||||
\(174\) | 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 | \(0.102659\pi\) | ||||
−0.948442 | + | 0.316952i | \(0.897341\pi\) | |||||||
\(194\) | −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 | \(0.0418222\pi\) | ||||
−0.991381 | + | 0.131011i | \(0.958178\pi\) | |||||||
\(198\) | −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 | \(0.173776\pi\) | ||||
−0.854644 | + | 0.519215i | \(0.826224\pi\) | |||||||
\(212\) | 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 | \(-0.571517\pi\) | ||||
−0.222792 | + | 0.974866i | \(0.571517\pi\) | |||||||
\(228\) | 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 | ||||||||
\(231\) | −8.53977 | − | 2.01798i | −0.561876 | − | 0.132774i | ||||
\(232\) | 6.23598 | 0.409412 | ||||||||
\(233\) | − | 0.0686068i | − | 0.00449458i | −0.999997 | − | 0.00224729i | \(-0.999285\pi\) | ||
0.999997 | − | 0.00224729i | \(-0.000715335\pi\) | |||||||
\(234\) | 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 | \(0.251349\pi\) | ||||
−0.704104 | + | 0.710097i | \(0.748651\pi\) | |||||||
\(240\) | 4.63197 | 0.298993 | ||||||||
\(241\) | −3.80239 | −0.244933 | −0.122467 | − | 0.992473i | \(-0.539080\pi\) | ||||
−0.122467 | + | 0.992473i | \(0.539080\pi\) | |||||||
\(242\) | 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 | \(0.0365216\pi\) | ||||
−0.993425 | + | 0.114484i | \(0.963478\pi\) | |||||||
\(264\) | −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 | \(-0.693473\pi\) | ||||
−0.571074 | + | 0.820899i | \(0.693473\pi\) | |||||||
\(272\) | 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 | \(-0.808849\pi\) | ||
0.825042 | − | 0.565071i | \(-0.191151\pi\) | |||||||
\(278\) | 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 | \(0.0573000\pi\) | ||||
−0.983841 | + | 0.179043i | \(0.942700\pi\) | |||||||
\(282\) | − | 4.94729i | − | 0.294607i | ||||||
\(283\) | 5.80703 | 0.345192 | 0.172596 | − | 0.984993i | \(-0.444784\pi\) | ||||
0.172596 | + | 0.984993i | \(0.444784\pi\) | |||||||
\(284\) | 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 | \(-0.746771\pi\) | ||||
−0.699897 | + | 0.714244i | \(0.746771\pi\) | |||||||
\(294\) | −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 | \(-0.141029\pi\) | ||||
0.903445 | + | 0.428703i | \(0.141029\pi\) | |||||||
\(308\) | 0.793768 | − | 3.35910i | 0.0452291 | − | 0.191402i | ||||
\(309\) | −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 | \(0.0337808\pi\) | ||||
−0.994374 | + | 0.105926i | \(0.966219\pi\) | |||||||
\(338\) | − | 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 | \(0.0483417\pi\) | ||||
−0.988490 | + | 0.151287i | \(0.951658\pi\) | |||||||
\(348\) | −0.986862 | −0.0529014 | ||||||||
\(349\) | 5.20232 | 0.278474 | 0.139237 | − | 0.990259i | \(-0.455535\pi\) | ||||
0.139237 | + | 0.990259i | \(0.455535\pi\) | |||||||
\(350\) | 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 | \(-0.937753\pi\) | ||
0.980940 | − | 0.194312i | \(-0.0622474\pi\) | |||||||
\(360\) | 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 | \(-0.964386\pi\) | ||
0.993747 | − | 0.111652i | \(-0.0356143\pi\) | |||||||
\(374\) | −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 | ||||||||
\(385\) | −8.53977 | − | 2.01798i | −0.435227 | − | 0.102846i | ||||
\(386\) | −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 | \(-0.185918\pi\) | ||||
0.834221 | + | 0.551431i | \(0.185918\pi\) | |||||||
\(410\) | 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 | \(-0.847640\pi\) | ||
0.887616 | − | 0.460583i | \(-0.152360\pi\) | |||||||
\(432\) | 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 | \(-0.290704\pi\) | ||||
0.611159 | + | 0.791508i | \(0.290704\pi\) | |||||||
\(440\) | −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 | \(-0.778795\pi\) | ||
0.768096 | − | 0.640335i | \(-0.221205\pi\) | |||||||
\(458\) | −40.1863 | −1.87778 | ||||||||
\(459\) | 1.11146i | 0.0518784i | ||||||||
\(460\) | 1.73807i | 0.0810380i | ||||||||
\(461\) | 16.9958 | 0.791571 | 0.395786 | − | 0.918343i | \(-0.370472\pi\) | ||||
0.395786 | + | 0.918343i | \(0.370472\pi\) | |||||||
\(462\) | 3.12191 | − | 13.2114i | 0.145244 | − | 0.614651i | ||||
\(463\) | 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 | \(-0.0956012\pi\) | ||||
0.955236 | + | 0.295845i | \(0.0956012\pi\) | |||||||
\(480\) | 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 | \(0.315796\pi\) | ||||
−0.546931 | + | 0.837178i | \(0.684204\pi\) | |||||||
\(492\) | 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 | \(-0.538933\pi\) | ||||
−0.122008 | + | 0.992529i | \(0.538933\pi\) | |||||||
\(504\) | 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 | \(-0.289950\pi\) | ||||
0.613030 | + | 0.790059i | \(0.289950\pi\) | |||||||
\(524\) | −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 | ||||||||
\(539\) | −1.88013 | − | 23.1401i | −0.0809831 | − | 0.996715i | ||||
\(540\) | −0.393347 | −0.0169270 | ||||||||
\(541\) | 30.5495i | 1.31343i | 0.754141 | + | 0.656713i | \(0.228054\pi\) | ||||
−0.754141 | + | 0.656713i | \(0.771946\pi\) | |||||||
\(542\) | − | 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 | \(0.100150\pi\) | ||||
−0.950910 | + | 0.309466i | \(0.899850\pi\) | |||||||
\(548\) | −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 | \(-0.780767\pi\) | ||
0.772046 | − | 0.635566i | \(-0.219233\pi\) | |||||||
\(558\) | 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 | \(-0.363221\pi\) | ||||
0.416601 | + | 0.909089i | \(0.363221\pi\) | |||||||
\(564\) | 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 | \(-0.805853\pi\) | ||
0.819689 | − | 0.572810i | \(-0.194147\pi\) | |||||||
\(570\) | 3.98459i | 0.166896i | ||||||||
\(571\) | 10.7124i | 0.448299i | 0.974555 | + | 0.224149i | \(0.0719604\pi\) | ||||
−0.974555 | + | 0.224149i | \(0.928040\pi\) | |||||||
\(572\) | 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 | \(-0.576565\pi\) | ||||
−0.238224 | + | 0.971210i | \(0.576565\pi\) | |||||||
\(594\) | 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 | \(-0.744339\pi\) | ||||
−0.694420 | + | 0.719570i | \(0.744339\pi\) | |||||||
\(602\) | 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 | \(-0.439112\pi\) | ||||
0.190122 | + | 0.981761i | \(0.439112\pi\) | |||||||
\(608\) | 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 | \(0.110380\pi\) | ||||
−0.940476 | + | 0.339861i | \(0.889620\pi\) | |||||||
\(614\) | 48.9783i | 1.97660i | ||||||||
\(615\) | 4.46980 | 0.180240 | ||||||||
\(616\) | −21.2262 | − | 5.01582i | −0.855226 | − | 0.202093i | ||||
\(617\) | 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 | \(-0.619788\pi\) | ||
0.367505 | − | 0.930021i | \(-0.380212\pi\) | |||||||
\(660\) | 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 | \(0.214524\pi\) | ||||
−0.781365 | + | 0.624074i | \(0.785476\pi\) | |||||||
\(674\) | −6.01661 | −0.231751 | ||||||||
\(675\) | 1.00000i | 0.0384900i | ||||||||
\(676\) | 1.95915 | 0.0753521 | ||||||||
\(677\) | −24.5861 | −0.944922 | −0.472461 | − | 0.881351i | \(-0.656634\pi\) | ||||
−0.472461 | + | 0.881351i | \(0.656634\pi\) | |||||||
\(678\) | 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 | ||||||||
\(693\) | 2.01798 | − | 8.53977i | 0.0766568 | − | 0.324399i | ||||
\(694\) | −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 | \(0.121525\pi\) | ||||
−0.928002 | + | 0.372575i | \(0.878475\pi\) | |||||||
\(702\) | −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 | \(-0.540884\pi\) | ||||
−0.128088 | + | 0.991763i | \(0.540884\pi\) | |||||||
\(734\) | −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 | \(-0.880927\pi\) | ||
0.930845 | − | 0.365414i | \(-0.119073\pi\) | |||||||
\(740\) | − | 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 | \(0.120829\pi\) | ||||
−0.928815 | + | 0.370544i | \(0.879171\pi\) | |||||||
\(744\) | − | 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 | \(-0.403896\pi\) | ||||
0.297354 | + | 0.954767i | \(0.403896\pi\) | |||||||
\(762\) | − | 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 | \(-0.774544\pi\) | ||||
−0.759475 | + | 0.650536i | \(0.774544\pi\) | |||||||
\(770\) | 3.12191 | − | 13.2114i | 0.112506 | − | 0.476106i | ||||
\(771\) | 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 | \(-0.368273\pi\) | ||||
0.402121 | + | 0.915587i | \(0.368273\pi\) | |||||||
\(788\) | − | 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 | \(-0.965444\pi\) | ||
0.994113 | − | 0.108347i | \(-0.0345557\pi\) | |||||||
\(810\) | −1.54704 | −0.0543576 | ||||||||
\(811\) | −2.18332 | −0.0766668 | −0.0383334 | − | 0.999265i | \(-0.512205\pi\) | ||||
−0.0383334 | + | 0.999265i | \(0.512205\pi\) | |||||||
\(812\) | −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 | \(-0.996111\pi\) | ||
0.999925 | − | 0.0122159i | \(-0.00388854\pi\) | |||||||
\(822\) | −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 | \(-0.888653\pi\) | ||
0.939439 | − | 0.342716i | \(-0.111347\pi\) | |||||||
\(828\) | −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 | ||||||||
\(847\) | 20.7468 | + | 20.4100i | 0.712870 | + | 0.701296i | ||||
\(848\) | 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 | \(-0.588050\pi\) | ||||
−0.273103 | + | 0.961985i | \(0.588050\pi\) | |||||||
\(854\) | 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 | \(-0.638784\pi\) | ||||
−0.422321 | + | 0.906446i | \(0.638784\pi\) | |||||||
\(858\) | 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 | \(-0.705246\pi\) | ||
0.601039 | − | 0.799220i | \(-0.294754\pi\) | |||||||
\(878\) | 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 | \(-0.762744\pi\) | ||||
−0.734843 | + | 0.678237i | \(0.762744\pi\) | |||||||
\(888\) | −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 | \(-0.960560\pi\) | ||
0.992334 | − | 0.123587i | \(-0.0394399\pi\) | |||||||
\(920\) | 10.9829 | 0.362095 | ||||||||
\(921\) | 31.6593i | 1.04321i | ||||||||
\(922\) | 26.2932i | 0.865920i | ||||||||
\(923\) | 10.6751 | 0.351377 | ||||||||
\(924\) | 3.35910 | + | 0.793768i | 0.110506 | + | 0.0261131i | ||||
\(925\) | −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 | \(-0.319199\pi\) | ||||
0.537951 | + | 0.842976i | \(0.319199\pi\) | |||||||
\(938\) | −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 | \(-0.469551\pi\) | ||||
0.0955138 | + | 0.995428i | \(0.469551\pi\) | |||||||
\(942\) | − | 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 | \(-0.655442\pi\) | ||
0.469157 | − | 0.883115i | \(-0.344558\pi\) | |||||||
\(954\) | 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 | \(0.308974\pi\) | ||||
−0.564746 | + | 0.825265i | \(0.691026\pi\) | |||||||
\(968\) | 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 | \(-0.529957\pi\) | ||||
−0.0939734 | + | 0.995575i | \(0.529957\pi\) | |||||||
\(998\) | 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.76.14 | yes | 32 | |
7.6 | odd | 2 | inner | 1155.2.i.d.76.20 | yes | 32 | |
11.10 | odd | 2 | inner | 1155.2.i.d.76.19 | yes | 32 | |
77.76 | even | 2 | inner | 1155.2.i.d.76.13 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1155.2.i.d.76.13 | ✓ | 32 | 77.76 | even | 2 | inner | |
1155.2.i.d.76.14 | yes | 32 | 1.1 | even | 1 | trivial | |
1155.2.i.d.76.19 | yes | 32 | 11.10 | odd | 2 | inner | |
1155.2.i.d.76.20 | yes | 32 | 7.6 | odd | 2 | inner |