Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [240,2,Mod(11,240)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(240, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("240.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 240 = 2^{4} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 240.bk (of order \(4\), degree \(2\), 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: | \(1.91640964851\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(30\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 240.11 |
Dual form | 240.2.bk.b.131.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(161\) | \(181\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24180 | − | 0.676700i | −0.878088 | − | 0.478499i | ||||
\(3\) | −0.861442 | + | 1.50264i | −0.497354 | + | 0.867548i | ||||
\(4\) | 1.08415 | + | 1.68066i | 0.542077 | + | 0.840329i | ||||
\(5\) | 0.707107 | − | 0.707107i | 0.316228 | − | 0.316228i | ||||
\(6\) | 2.08658 | − | 1.28304i | 0.851841 | − | 0.523800i | ||||
\(7\) | 0.563322 | 0.212916 | 0.106458 | − | 0.994317i | \(-0.466049\pi\) | ||||
0.106458 | + | 0.994317i | \(0.466049\pi\) | |||||||
\(8\) | −0.209007 | − | 2.82069i | −0.0738953 | − | 0.997266i | ||||
\(9\) | −1.51583 | − | 2.58887i | −0.505278 | − | 0.862957i | ||||
\(10\) | −1.35659 | + | 0.399589i | −0.428991 | + | 0.126361i | ||||
\(11\) | 3.95012 | + | 3.95012i | 1.19101 | + | 1.19101i | 0.976785 | + | 0.214222i | \(0.0687214\pi\) |
0.214222 | + | 0.976785i | \(0.431279\pi\) | |||||||
\(12\) | −3.45935 | + | 0.181302i | −0.998629 | + | 0.0523373i | ||||
\(13\) | −2.81363 | + | 2.81363i | −0.780360 | + | 0.780360i | −0.979891 | − | 0.199532i | \(-0.936058\pi\) |
0.199532 | + | 0.979891i | \(0.436058\pi\) | |||||||
\(14\) | −0.699535 | − | 0.381200i | −0.186959 | − | 0.101880i | ||||
\(15\) | 0.453393 | + | 1.67166i | 0.117066 | + | 0.431620i | ||||
\(16\) | −1.64922 | + | 3.64418i | −0.412304 | + | 0.911046i | ||||
\(17\) | 1.84903i | 0.448455i | 0.974537 | + | 0.224228i | \(0.0719859\pi\) | ||||
−0.974537 | + | 0.224228i | \(0.928014\pi\) | |||||||
\(18\) | 0.130482 | + | 4.24063i | 0.0307549 | + | 0.999527i | ||||
\(19\) | 2.87523 | + | 2.87523i | 0.659623 | + | 0.659623i | 0.955291 | − | 0.295668i | \(-0.0955422\pi\) |
−0.295668 | + | 0.955291i | \(0.595542\pi\) | |||||||
\(20\) | 1.95502 | + | 0.421791i | 0.437155 | + | 0.0943153i | ||||
\(21\) | −0.485269 | + | 0.846468i | −0.105894 | + | 0.184714i | ||||
\(22\) | −2.23223 | − | 7.57832i | −0.475913 | − | 1.61570i | ||||
\(23\) | 4.28805i | 0.894121i | 0.894504 | + | 0.447061i | \(0.147529\pi\) | ||||
−0.894504 | + | 0.447061i | \(0.852471\pi\) | |||||||
\(24\) | 4.41853 | + | 2.11580i | 0.901928 | + | 0.431886i | ||||
\(25\) | − | 1.00000i | − | 0.200000i | ||||||
\(26\) | 5.39796 | − | 1.58999i | 1.05863 | − | 0.311823i | ||||
\(27\) | 5.19593 | − | 0.0475870i | 0.999958 | − | 0.00915812i | ||||
\(28\) | 0.610728 | + | 0.946751i | 0.115417 | + | 0.178919i | ||||
\(29\) | −0.371339 | − | 0.371339i | −0.0689559 | − | 0.0689559i | 0.671788 | − | 0.740744i | \(-0.265527\pi\) |
−0.740744 | + | 0.671788i | \(0.765527\pi\) | |||||||
\(30\) | 0.568184 | − | 2.38268i | 0.103736 | − | 0.435016i | ||||
\(31\) | 1.24571i | 0.223735i | 0.993723 | + | 0.111868i | \(0.0356833\pi\) | ||||
−0.993723 | + | 0.111868i | \(0.964317\pi\) | |||||||
\(32\) | 4.51402 | − | 3.40934i | 0.797974 | − | 0.602692i | ||||
\(33\) | −9.33840 | + | 2.53280i | −1.62561 | + | 0.440903i | ||||
\(34\) | 1.25124 | − | 2.29613i | 0.214585 | − | 0.393783i | ||||
\(35\) | 0.398329 | − | 0.398329i | 0.0673298 | − | 0.0673298i | ||||
\(36\) | 2.70760 | − | 5.35433i | 0.451267 | − | 0.892389i | ||||
\(37\) | 0.150367 | + | 0.150367i | 0.0247202 | + | 0.0247202i | 0.719359 | − | 0.694639i | \(-0.244436\pi\) |
−0.694639 | + | 0.719359i | \(0.744436\pi\) | |||||||
\(38\) | −1.62480 | − | 5.51614i | −0.263578 | − | 0.894836i | ||||
\(39\) | −1.80408 | − | 6.65164i | −0.288884 | − | 1.06511i | ||||
\(40\) | −2.14232 | − | 1.84674i | −0.338731 | − | 0.291995i | ||||
\(41\) | 7.24837 | 1.13201 | 0.566003 | − | 0.824403i | \(-0.308489\pi\) | ||||
0.566003 | + | 0.824403i | \(0.308489\pi\) | |||||||
\(42\) | 1.17541 | − | 0.722766i | 0.181370 | − | 0.111525i | ||||
\(43\) | 0.886832 | − | 0.886832i | 0.135241 | − | 0.135241i | −0.636246 | − | 0.771486i | \(-0.719514\pi\) |
0.771486 | + | 0.636246i | \(0.219514\pi\) | |||||||
\(44\) | −2.35626 | + | 10.9213i | −0.355219 | + | 1.64645i | ||||
\(45\) | −2.90246 | − | 0.758750i | −0.432674 | − | 0.113108i | ||||
\(46\) | 2.90173 | − | 5.32492i | 0.427836 | − | 0.785117i | ||||
\(47\) | −12.4833 | −1.82088 | −0.910439 | − | 0.413643i | \(-0.864256\pi\) | ||||
−0.910439 | + | 0.413643i | \(0.864256\pi\) | |||||||
\(48\) | −4.05518 | − | 5.61743i | −0.585315 | − | 0.810806i | ||||
\(49\) | −6.68267 | −0.954667 | ||||||||
\(50\) | −0.676700 | + | 1.24180i | −0.0956998 | + | 0.175618i | ||||
\(51\) | −2.77842 | − | 1.59283i | −0.389056 | − | 0.223041i | ||||
\(52\) | −7.77915 | − | 1.67834i | −1.07877 | − | 0.232743i | ||||
\(53\) | 8.71705 | − | 8.71705i | 1.19738 | − | 1.19738i | 0.222430 | − | 0.974949i | \(-0.428601\pi\) |
0.974949 | − | 0.222430i | \(-0.0713990\pi\) | |||||||
\(54\) | −6.48453 | − | 3.45699i | −0.882433 | − | 0.470437i | ||||
\(55\) | 5.58632 | 0.753259 | ||||||||
\(56\) | −0.117738 | − | 1.58896i | −0.0157335 | − | 0.212333i | ||||
\(57\) | −6.79727 | + | 1.84358i | −0.900320 | + | 0.244188i | ||||
\(58\) | 0.209845 | + | 0.712416i | 0.0275540 | + | 0.0935447i | ||||
\(59\) | 1.63588 | + | 1.63588i | 0.212974 | + | 0.212974i | 0.805529 | − | 0.592556i | \(-0.201881\pi\) |
−0.592556 | + | 0.805529i | \(0.701881\pi\) | |||||||
\(60\) | −2.31793 | + | 2.57433i | −0.299244 | + | 0.332345i | ||||
\(61\) | 0.657825 | − | 0.657825i | 0.0842259 | − | 0.0842259i | −0.663739 | − | 0.747965i | \(-0.731031\pi\) |
0.747965 | + | 0.663739i | \(0.231031\pi\) | |||||||
\(62\) | 0.842969 | − | 1.54692i | 0.107057 | − | 0.196459i | ||||
\(63\) | −0.853902 | − | 1.45837i | −0.107582 | − | 0.183737i | ||||
\(64\) | −7.91263 | + | 1.17909i | −0.989079 | + | 0.147387i | ||||
\(65\) | 3.97907i | 0.493543i | ||||||||
\(66\) | 13.3104 | + | 3.17406i | 1.63840 | + | 0.390699i | ||||
\(67\) | 8.22317 | + | 8.22317i | 1.00462 | + | 1.00462i | 0.999989 | + | 0.00463097i | \(0.00147409\pi\) |
0.00463097 | + | 0.999989i | \(0.498526\pi\) | |||||||
\(68\) | −3.10758 | + | 2.00463i | −0.376850 | + | 0.243097i | ||||
\(69\) | −6.44339 | − | 3.69391i | −0.775693 | − | 0.444695i | ||||
\(70\) | −0.764195 | + | 0.225097i | −0.0913388 | + | 0.0269043i | ||||
\(71\) | − | 12.6995i | − | 1.50715i | −0.657361 | − | 0.753575i | \(-0.728327\pi\) | ||
0.657361 | − | 0.753575i | \(-0.271673\pi\) | |||||||
\(72\) | −6.98559 | + | 4.81680i | −0.823260 | + | 0.567665i | ||||
\(73\) | − | 10.2509i | − | 1.19977i | −0.800085 | − | 0.599887i | \(-0.795212\pi\) | ||
0.800085 | − | 0.599887i | \(-0.204788\pi\) | |||||||
\(74\) | −0.0849732 | − | 0.288480i | −0.00987794 | − | 0.0335352i | ||||
\(75\) | 1.50264 | + | 0.861442i | 0.173510 | + | 0.0994708i | ||||
\(76\) | −1.71508 | + | 7.94947i | −0.196733 | + | 0.911866i | ||||
\(77\) | 2.22519 | + | 2.22519i | 0.253584 | + | 0.253584i | ||||
\(78\) | −2.26084 | + | 9.48085i | −0.255990 | + | 1.07350i | ||||
\(79\) | − | 13.0899i | − | 1.47272i | −0.676588 | − | 0.736362i | \(-0.736542\pi\) | ||
0.676588 | − | 0.736362i | \(-0.263458\pi\) | |||||||
\(80\) | 1.41066 | + | 3.74300i | 0.157716 | + | 0.418480i | ||||
\(81\) | −4.40449 | + | 7.84860i | −0.489388 | + | 0.872066i | ||||
\(82\) | −9.00106 | − | 4.90497i | −0.994001 | − | 0.541664i | ||||
\(83\) | −3.31432 | + | 3.31432i | −0.363794 | + | 0.363794i | −0.865208 | − | 0.501414i | \(-0.832813\pi\) |
0.501414 | + | 0.865208i | \(0.332813\pi\) | |||||||
\(84\) | −1.94873 | + | 0.102131i | −0.212624 | + | 0.0111434i | ||||
\(85\) | 1.30746 | + | 1.30746i | 0.141814 | + | 0.141814i | ||||
\(86\) | −1.70139 | + | 0.501153i | −0.183466 | + | 0.0540407i | ||||
\(87\) | 0.877875 | − | 0.238101i | 0.0941181 | − | 0.0255271i | ||||
\(88\) | 10.3165 | − | 11.9677i | 1.09974 | − | 1.27576i | ||||
\(89\) | −14.1100 | −1.49565 | −0.747827 | − | 0.663893i | \(-0.768903\pi\) | ||||
−0.747827 | + | 0.663893i | \(0.768903\pi\) | |||||||
\(90\) | 3.09085 | + | 2.90632i | 0.325804 | + | 0.306353i | ||||
\(91\) | −1.58498 | + | 1.58498i | −0.166151 | + | 0.166151i | ||||
\(92\) | −7.20675 | + | 4.64891i | −0.751356 | + | 0.484683i | ||||
\(93\) | −1.87184 | − | 1.07310i | −0.194101 | − | 0.111276i | ||||
\(94\) | 15.5018 | + | 8.44746i | 1.59889 | + | 0.871289i | ||||
\(95\) | 4.06619 | 0.417182 | ||||||||
\(96\) | 1.23443 | + | 9.71989i | 0.125988 | + | 0.992032i | ||||
\(97\) | 16.2142 | 1.64630 | 0.823151 | − | 0.567822i | \(-0.192214\pi\) | ||||
0.823151 | + | 0.567822i | \(0.192214\pi\) | |||||||
\(98\) | 8.29857 | + | 4.52216i | 0.838282 | + | 0.456807i | ||||
\(99\) | 4.23862 | − | 16.2141i | 0.425997 | − | 1.62958i | ||||
\(100\) | 1.68066 | − | 1.08415i | 0.168066 | − | 0.108415i | ||||
\(101\) | 10.9221 | − | 10.9221i | 1.08679 | − | 1.08679i | 0.0909318 | − | 0.995857i | \(-0.471015\pi\) |
0.995857 | − | 0.0909318i | \(-0.0289845\pi\) | |||||||
\(102\) | 2.37238 | + | 3.85814i | 0.234901 | + | 0.382013i | ||||
\(103\) | 15.8806 | 1.56476 | 0.782381 | − | 0.622800i | \(-0.214005\pi\) | ||||
0.782381 | + | 0.622800i | \(0.214005\pi\) | |||||||
\(104\) | 8.52445 | + | 7.34831i | 0.835891 | + | 0.720561i | ||||
\(105\) | 0.255406 | + | 0.941680i | 0.0249251 | + | 0.0918986i | ||||
\(106\) | −16.7237 | + | 4.92604i | −1.62435 | + | 0.478460i | ||||
\(107\) | −0.181436 | − | 0.181436i | −0.0175401 | − | 0.0175401i | 0.698282 | − | 0.715822i | \(-0.253948\pi\) |
−0.715822 | + | 0.698282i | \(0.753948\pi\) | |||||||
\(108\) | 5.71317 | + | 8.68099i | 0.549750 | + | 0.835329i | ||||
\(109\) | −2.42482 | + | 2.42482i | −0.232256 | + | 0.232256i | −0.813634 | − | 0.581378i | \(-0.802514\pi\) |
0.581378 | + | 0.813634i | \(0.302514\pi\) | |||||||
\(110\) | −6.93711 | − | 3.78026i | −0.661428 | − | 0.360434i | ||||
\(111\) | −0.355480 | + | 0.0964147i | −0.0337407 | + | 0.00915128i | ||||
\(112\) | −0.929040 | + | 2.05285i | −0.0877860 | + | 0.193976i | ||||
\(113\) | − | 12.9498i | − | 1.21822i | −0.793087 | − | 0.609109i | \(-0.791527\pi\) | ||
0.793087 | − | 0.609109i | \(-0.208473\pi\) | |||||||
\(114\) | 9.68843 | + | 2.31034i | 0.907404 | + | 0.216383i | ||||
\(115\) | 3.03211 | + | 3.03211i | 0.282746 | + | 0.282746i | ||||
\(116\) | 0.221505 | − | 1.02668i | 0.0205662 | − | 0.0953251i | ||||
\(117\) | 11.5491 | + | 3.01912i | 1.06772 | + | 0.279118i | ||||
\(118\) | −0.924444 | − | 3.13845i | −0.0851020 | − | 0.288918i | ||||
\(119\) | 1.04160i | 0.0954831i | ||||||||
\(120\) | 4.62047 | − | 1.62827i | 0.421789 | − | 0.148640i | ||||
\(121\) | 20.2069i | 1.83699i | ||||||||
\(122\) | −1.26204 | + | 0.371740i | −0.114260 | + | 0.0336557i | ||||
\(123\) | −6.24406 | + | 10.8917i | −0.563008 | + | 0.982069i | ||||
\(124\) | −2.09360 | + | 1.35054i | −0.188011 | + | 0.121282i | ||||
\(125\) | −0.707107 | − | 0.707107i | −0.0632456 | − | 0.0632456i | ||||
\(126\) | 0.0735033 | + | 2.38884i | 0.00654819 | + | 0.212815i | ||||
\(127\) | 3.31548i | 0.294201i | 0.989122 | + | 0.147100i | \(0.0469941\pi\) | ||||
−0.989122 | + | 0.147100i | \(0.953006\pi\) | |||||||
\(128\) | 10.6238 | + | 3.89027i | 0.939023 | + | 0.343855i | ||||
\(129\) | 0.568632 | + | 2.09654i | 0.0500653 | + | 0.184590i | ||||
\(130\) | 2.69264 | − | 4.94123i | 0.236160 | − | 0.433374i | ||||
\(131\) | −9.79209 | + | 9.79209i | −0.855539 | + | 0.855539i | −0.990809 | − | 0.135270i | \(-0.956810\pi\) |
0.135270 | + | 0.990809i | \(0.456810\pi\) | |||||||
\(132\) | −14.3810 | − | 12.9487i | −1.25171 | − | 1.12704i | ||||
\(133\) | 1.61968 | + | 1.61968i | 0.140444 | + | 0.140444i | ||||
\(134\) | −4.64695 | − | 15.7762i | −0.401435 | − | 1.36285i | ||||
\(135\) | 3.64043 | − | 3.70773i | 0.313318 | − | 0.319111i | ||||
\(136\) | 5.21554 | − | 0.386461i | 0.447229 | − | 0.0331387i | ||||
\(137\) | −9.04142 | −0.772460 | −0.386230 | − | 0.922402i | \(-0.626223\pi\) | ||||
−0.386230 | + | 0.922402i | \(0.626223\pi\) | |||||||
\(138\) | 5.50176 | + | 8.94735i | 0.468341 | + | 0.761649i | ||||
\(139\) | −6.47740 | + | 6.47740i | −0.549406 | + | 0.549406i | −0.926269 | − | 0.376863i | \(-0.877003\pi\) |
0.376863 | + | 0.926269i | \(0.377003\pi\) | |||||||
\(140\) | 1.10130 | + | 0.237604i | 0.0930771 | + | 0.0200812i | ||||
\(141\) | 10.7537 | − | 18.7579i | 0.905621 | − | 1.57970i | ||||
\(142\) | −8.59374 | + | 15.7703i | −0.721170 | + | 1.32341i | ||||
\(143\) | −22.2283 | −1.85883 | ||||||||
\(144\) | 11.9343 | − | 1.25437i | 0.994522 | − | 0.104531i | ||||
\(145\) | −0.525153 | −0.0436116 | ||||||||
\(146\) | −6.93677 | + | 12.7296i | −0.574091 | + | 1.05351i | ||||
\(147\) | 5.75673 | − | 10.0416i | 0.474807 | − | 0.828219i | ||||
\(148\) | −0.0896945 | + | 0.415737i | −0.00737284 | + | 0.0341734i | ||||
\(149\) | −1.99722 | + | 1.99722i | −0.163618 | + | 0.163618i | −0.784168 | − | 0.620549i | \(-0.786910\pi\) |
0.620549 | + | 0.784168i | \(0.286910\pi\) | |||||||
\(150\) | −1.28304 | − | 2.08658i | −0.104760 | − | 0.170368i | ||||
\(151\) | −15.3318 | −1.24769 | −0.623843 | − | 0.781550i | \(-0.714430\pi\) | ||||
−0.623843 | + | 0.781550i | \(0.714430\pi\) | |||||||
\(152\) | 7.50920 | − | 8.71108i | 0.609076 | − | 0.706562i | ||||
\(153\) | 4.78689 | − | 2.80282i | 0.386997 | − | 0.226595i | ||||
\(154\) | −1.25746 | − | 4.26903i | −0.101329 | − | 0.344009i | ||||
\(155\) | 0.880847 | + | 0.880847i | 0.0707513 | + | 0.0707513i | ||||
\(156\) | 9.22322 | − | 10.2434i | 0.738448 | − | 0.820132i | ||||
\(157\) | 0.320523 | − | 0.320523i | 0.0255805 | − | 0.0255805i | −0.694201 | − | 0.719781i | \(-0.744242\pi\) |
0.719781 | + | 0.694201i | \(0.244242\pi\) | |||||||
\(158\) | −8.85791 | + | 16.2550i | −0.704697 | + | 1.29318i | ||||
\(159\) | 5.58933 | + | 20.6078i | 0.443262 | + | 1.63430i | ||||
\(160\) | 0.781130 | − | 5.60266i | 0.0617537 | − | 0.442929i | ||||
\(161\) | 2.41555i | 0.190372i | ||||||||
\(162\) | 10.7807 | − | 6.76590i | 0.847009 | − | 0.531579i | ||||
\(163\) | −11.8288 | − | 11.8288i | −0.926506 | − | 0.926506i | 0.0709724 | − | 0.997478i | \(-0.477390\pi\) |
−0.997478 | + | 0.0709724i | \(0.977390\pi\) | |||||||
\(164\) | 7.85836 | + | 12.1820i | 0.613635 | + | 0.951257i | ||||
\(165\) | −4.81229 | + | 8.39420i | −0.374636 | + | 0.653488i | ||||
\(166\) | 6.35854 | − | 1.87294i | 0.493518 | − | 0.145368i | ||||
\(167\) | 9.72409i | 0.752473i | 0.926524 | + | 0.376236i | \(0.122782\pi\) | ||||
−0.926524 | + | 0.376236i | \(0.877218\pi\) | |||||||
\(168\) | 2.48905 | + | 1.19188i | 0.192035 | + | 0.0919554i | ||||
\(169\) | − | 2.83300i | − | 0.217923i | ||||||
\(170\) | −0.738851 | − | 2.50837i | −0.0566673 | − | 0.192383i | ||||
\(171\) | 3.08522 | − | 11.8020i | 0.235933 | − | 0.902519i | ||||
\(172\) | 2.45193 | + | 0.528998i | 0.186958 | + | 0.0403357i | ||||
\(173\) | 1.25519 | + | 1.25519i | 0.0954304 | + | 0.0954304i | 0.753210 | − | 0.657780i | \(-0.228504\pi\) |
−0.657780 | + | 0.753210i | \(0.728504\pi\) | |||||||
\(174\) | −1.25127 | − | 0.298384i | −0.0948586 | − | 0.0226204i | ||||
\(175\) | − | 0.563322i | − | 0.0425831i | ||||||
\(176\) | −20.9096 | + | 7.88037i | −1.57612 | + | 0.594005i | ||||
\(177\) | −3.86736 | + | 1.04892i | −0.290688 | + | 0.0788416i | ||||
\(178\) | 17.5218 | + | 9.54822i | 1.31332 | + | 0.715669i | ||||
\(179\) | 7.94161 | − | 7.94161i | 0.593584 | − | 0.593584i | −0.345014 | − | 0.938598i | \(-0.612126\pi\) |
0.938598 | + | 0.345014i | \(0.112126\pi\) | |||||||
\(180\) | −1.87152 | − | 5.70065i | −0.139495 | − | 0.424901i | ||||
\(181\) | −8.15197 | − | 8.15197i | −0.605931 | − | 0.605931i | 0.335949 | − | 0.941880i | \(-0.390943\pi\) |
−0.941880 | + | 0.335949i | \(0.890943\pi\) | |||||||
\(182\) | 3.04079 | − | 0.895678i | 0.225398 | − | 0.0663920i | ||||
\(183\) | 0.421794 | + | 1.55515i | 0.0311799 | + | 0.114960i | ||||
\(184\) | 12.0953 | − | 0.896235i | 0.891677 | − | 0.0660714i | ||||
\(185\) | 0.212652 | 0.0156345 | ||||||||
\(186\) | 1.59829 | + | 2.59926i | 0.117193 | + | 0.190587i | ||||
\(187\) | −7.30388 | + | 7.30388i | −0.534113 | + | 0.534113i | ||||
\(188\) | −13.5338 | − | 20.9802i | −0.987057 | − | 1.53014i | ||||
\(189\) | 2.92698 | − | 0.0268068i | 0.212907 | − | 0.00194991i | ||||
\(190\) | −5.04941 | − | 2.75159i | −0.366323 | − | 0.199621i | ||||
\(191\) | 1.84103 | 0.133212 | 0.0666062 | − | 0.997779i | \(-0.478783\pi\) | ||||
0.0666062 | + | 0.997779i | \(0.478783\pi\) | |||||||
\(192\) | 5.04453 | − | 12.9055i | 0.364057 | − | 0.931377i | ||||
\(193\) | 18.8569 | 1.35735 | 0.678674 | − | 0.734439i | \(-0.262555\pi\) | ||||
0.678674 | + | 0.734439i | \(0.262555\pi\) | |||||||
\(194\) | −20.1349 | − | 10.9721i | −1.44560 | − | 0.787754i | ||||
\(195\) | −5.97910 | − | 3.42774i | −0.428172 | − | 0.245466i | ||||
\(196\) | −7.24505 | − | 11.2313i | −0.517503 | − | 0.802234i | ||||
\(197\) | 1.71665 | − | 1.71665i | 0.122306 | − | 0.122306i | −0.643304 | − | 0.765611i | \(-0.722437\pi\) |
0.765611 | + | 0.643304i | \(0.222437\pi\) | |||||||
\(198\) | −16.2356 | + | 17.2664i | −1.15381 | + | 1.22707i | ||||
\(199\) | −14.1146 | −1.00056 | −0.500279 | − | 0.865864i | \(-0.666769\pi\) | ||||
−0.500279 | + | 0.865864i | \(0.666769\pi\) | |||||||
\(200\) | −2.82069 | + | 0.209007i | −0.199453 | + | 0.0147791i | ||||
\(201\) | −19.4402 | + | 5.27265i | −1.37121 | + | 0.371904i | ||||
\(202\) | −20.9541 | + | 6.17212i | −1.47432 | + | 0.434269i | ||||
\(203\) | −0.209183 | − | 0.209183i | −0.0146818 | − | 0.0146818i | ||||
\(204\) | −0.335232 | − | 6.39644i | −0.0234709 | − | 0.447840i | ||||
\(205\) | 5.12537 | − | 5.12537i | 0.357972 | − | 0.357972i | ||||
\(206\) | −19.7206 | − | 10.7464i | −1.37400 | − | 0.748737i | ||||
\(207\) | 11.1012 | − | 6.49998i | 0.771588 | − | 0.451780i | ||||
\(208\) | −5.61310 | − | 14.8937i | −0.389198 | − | 1.03269i | ||||
\(209\) | 22.7150i | 1.57123i | ||||||||
\(210\) | 0.320070 | − | 1.34222i | 0.0220870 | − | 0.0926217i | ||||
\(211\) | −0.0697389 | − | 0.0697389i | −0.00480102 | − | 0.00480102i | 0.704702 | − | 0.709503i | \(-0.251081\pi\) |
−0.709503 | + | 0.704702i | \(0.751081\pi\) | |||||||
\(212\) | 24.1010 | + | 5.19974i | 1.65526 | + | 0.357120i | ||||
\(213\) | 19.0827 | + | 10.9399i | 1.30753 | + | 0.749587i | ||||
\(214\) | 0.102530 | + | 0.348086i | 0.00700884 | + | 0.0237947i | ||||
\(215\) | − | 1.25417i | − | 0.0855337i | ||||||
\(216\) | −1.22022 | − | 14.6462i | −0.0830253 | − | 0.996547i | ||||
\(217\) | 0.701733i | 0.0476367i | ||||||||
\(218\) | 4.65203 | − | 1.37028i | 0.315075 | − | 0.0928069i | ||||
\(219\) | 15.4033 | + | 8.83054i | 1.04086 | + | 0.596712i | ||||
\(220\) | 6.05643 | + | 9.38868i | 0.408325 | + | 0.632985i | ||||
\(221\) | −5.20248 | − | 5.20248i | −0.349956 | − | 0.349956i | ||||
\(222\) | 0.506681 | + | 0.120825i | 0.0340062 | + | 0.00810926i | ||||
\(223\) | − | 25.8137i | − | 1.72862i | −0.502963 | − | 0.864308i | \(-0.667757\pi\) | ||
0.502963 | − | 0.864308i | \(-0.332243\pi\) | |||||||
\(224\) | 2.54285 | − | 1.92055i | 0.169901 | − | 0.128322i | ||||
\(225\) | −2.58887 | + | 1.51583i | −0.172591 | + | 0.101056i | ||||
\(226\) | −8.76315 | + | 16.0811i | −0.582916 | + | 1.06970i | ||||
\(227\) | −5.95912 | + | 5.95912i | −0.395521 | + | 0.395521i | −0.876650 | − | 0.481129i | \(-0.840227\pi\) |
0.481129 | + | 0.876650i | \(0.340227\pi\) | |||||||
\(228\) | −10.4677 | − | 9.42515i | −0.693242 | − | 0.624196i | ||||
\(229\) | −6.68020 | − | 6.68020i | −0.441440 | − | 0.441440i | 0.451056 | − | 0.892496i | \(-0.351048\pi\) |
−0.892496 | + | 0.451056i | \(0.851048\pi\) | |||||||
\(230\) | −1.71346 | − | 5.81712i | −0.112982 | − | 0.383569i | ||||
\(231\) | −5.26052 | + | 1.42678i | −0.346117 | + | 0.0938752i | ||||
\(232\) | −0.969821 | + | 1.12505i | −0.0636719 | + | 0.0738629i | ||||
\(233\) | 27.1041 | 1.77565 | 0.887824 | − | 0.460183i | \(-0.152216\pi\) | ||||
0.887824 | + | 0.460183i | \(0.152216\pi\) | |||||||
\(234\) | −12.2987 | − | 11.5644i | −0.803991 | − | 0.755991i | ||||
\(235\) | −8.82704 | + | 8.82704i | −0.575812 | + | 0.575812i | ||||
\(236\) | −0.975808 | + | 4.52291i | −0.0635197 | + | 0.294416i | ||||
\(237\) | 19.6693 | + | 11.2762i | 1.27766 | + | 0.732465i | ||||
\(238\) | 0.704849 | − | 1.29346i | 0.0456886 | − | 0.0838425i | ||||
\(239\) | 11.6534 | 0.753798 | 0.376899 | − | 0.926254i | \(-0.376990\pi\) | ||||
0.376899 | + | 0.926254i | \(0.376990\pi\) | |||||||
\(240\) | −6.83957 | − | 1.10468i | −0.441492 | − | 0.0713065i | ||||
\(241\) | 5.37109 | 0.345982 | 0.172991 | − | 0.984923i | \(-0.444657\pi\) | ||||
0.172991 | + | 0.984923i | \(0.444657\pi\) | |||||||
\(242\) | 13.6740 | − | 25.0930i | 0.879000 | − | 1.61304i | ||||
\(243\) | −7.99937 | − | 13.3795i | −0.513160 | − | 0.858293i | ||||
\(244\) | 1.81876 | + | 0.392394i | 0.116434 | + | 0.0251205i | ||||
\(245\) | −4.72536 | + | 4.72536i | −0.301892 | + | 0.301892i | ||||
\(246\) | 15.1243 | − | 9.29997i | 0.964289 | − | 0.592945i | ||||
\(247\) | −16.1796 | −1.02949 | ||||||||
\(248\) | 3.51375 | − | 0.260362i | 0.223124 | − | 0.0165330i | ||||
\(249\) | −2.12512 | − | 7.83532i | −0.134674 | − | 0.496543i | ||||
\(250\) | 0.399589 | + | 1.35659i | 0.0252722 | + | 0.0857981i | ||||
\(251\) | 0.545120 | + | 0.545120i | 0.0344077 | + | 0.0344077i | 0.724101 | − | 0.689694i | \(-0.242255\pi\) |
−0.689694 | + | 0.724101i | \(0.742255\pi\) | |||||||
\(252\) | 1.52525 | − | 3.01621i | 0.0960818 | − | 0.190003i | ||||
\(253\) | −16.9383 | + | 16.9383i | −1.06490 | + | 1.06490i | ||||
\(254\) | 2.24358 | − | 4.11717i | 0.140775 | − | 0.258334i | ||||
\(255\) | −3.09094 | + | 0.838336i | −0.193562 | + | 0.0524986i | ||||
\(256\) | −10.5602 | − | 12.0201i | −0.660010 | − | 0.751256i | ||||
\(257\) | − | 9.93444i | − | 0.619693i | −0.950787 | − | 0.309847i | \(-0.899722\pi\) | ||
0.950787 | − | 0.309847i | \(-0.100278\pi\) | |||||||
\(258\) | 0.712600 | − | 2.98829i | 0.0443645 | − | 0.186043i | ||||
\(259\) | 0.0847052 | + | 0.0847052i | 0.00526332 | + | 0.00526332i | ||||
\(260\) | −6.68745 | + | 4.31393i | −0.414738 | + | 0.267538i | ||||
\(261\) | −0.398460 | + | 1.52424i | −0.0246640 | + | 0.0943479i | ||||
\(262\) | 18.7862 | − | 5.53355i | 1.16061 | − | 0.341864i | ||||
\(263\) | 4.61484i | 0.284563i | 0.989826 | + | 0.142282i | \(0.0454439\pi\) | ||||
−0.989826 | + | 0.142282i | \(0.954556\pi\) | |||||||
\(264\) | 9.09604 | + | 25.8114i | 0.559823 | + | 1.58858i | ||||
\(265\) | − | 12.3278i | − | 0.757289i | ||||||
\(266\) | −0.915287 | − | 3.10736i | −0.0561199 | − | 0.190524i | ||||
\(267\) | 12.1549 | − | 21.2022i | 0.743870 | − | 1.29755i | ||||
\(268\) | −4.90514 | + | 22.7355i | −0.299629 | + | 1.38879i | ||||
\(269\) | 3.61458 | + | 3.61458i | 0.220385 | + | 0.220385i | 0.808660 | − | 0.588276i | \(-0.200193\pi\) |
−0.588276 | + | 0.808660i | \(0.700193\pi\) | |||||||
\(270\) | −7.02972 | + | 2.14079i | −0.427815 | + | 0.130285i | ||||
\(271\) | − | 4.40776i | − | 0.267752i | −0.990998 | − | 0.133876i | \(-0.957258\pi\) | ||
0.990998 | − | 0.133876i | \(-0.0427425\pi\) | |||||||
\(272\) | −6.73820 | − | 3.04945i | −0.408563 | − | 0.184900i | ||||
\(273\) | −1.01628 | − | 3.74701i | −0.0615080 | − | 0.226779i | ||||
\(274\) | 11.2277 | + | 6.11833i | 0.678288 | + | 0.369622i | ||||
\(275\) | 3.95012 | − | 3.95012i | 0.238201 | − | 0.238201i | ||||
\(276\) | −0.777432 | − | 14.8339i | −0.0467959 | − | 0.892896i | ||||
\(277\) | −7.48938 | − | 7.48938i | −0.449993 | − | 0.449993i | 0.445359 | − | 0.895352i | \(-0.353076\pi\) |
−0.895352 | + | 0.445359i | \(0.853076\pi\) | |||||||
\(278\) | 12.4269 | − | 3.66041i | 0.745317 | − | 0.219537i | ||||
\(279\) | 3.22497 | − | 1.88828i | 0.193074 | − | 0.113049i | ||||
\(280\) | −1.20682 | − | 1.04031i | −0.0721211 | − | 0.0621704i | ||||
\(281\) | 22.1310 | 1.32023 | 0.660113 | − | 0.751166i | \(-0.270508\pi\) | ||||
0.660113 | + | 0.751166i | \(0.270508\pi\) | |||||||
\(282\) | −26.0474 | + | 16.0166i | −1.55110 | + | 0.953776i | ||||
\(283\) | −13.2776 | + | 13.2776i | −0.789273 | + | 0.789273i | −0.981375 | − | 0.192102i | \(-0.938470\pi\) |
0.192102 | + | 0.981375i | \(0.438470\pi\) | |||||||
\(284\) | 21.3435 | − | 13.7682i | 1.26650 | − | 0.816992i | ||||
\(285\) | −3.50279 | + | 6.11000i | −0.207487 | + | 0.361925i | ||||
\(286\) | 27.6033 | + | 15.0419i | 1.63221 | + | 0.889447i | ||||
\(287\) | 4.08317 | 0.241022 | ||||||||
\(288\) | −15.6688 | − | 6.51822i | −0.923296 | − | 0.384090i | ||||
\(289\) | 13.5811 | 0.798888 | ||||||||
\(290\) | 0.652137 | + | 0.355371i | 0.0382948 | + | 0.0208681i | ||||
\(291\) | −13.9676 | + | 24.3640i | −0.818795 | + | 1.42825i | ||||
\(292\) | 17.2282 | − | 11.1135i | 1.00820 | − | 0.650370i | ||||
\(293\) | −16.1594 | + | 16.1594i | −0.944044 | + | 0.944044i | −0.998515 | − | 0.0544714i | \(-0.982653\pi\) |
0.0544714 | + | 0.998515i | \(0.482653\pi\) | |||||||
\(294\) | −13.9439 | + | 8.57415i | −0.813225 | + | 0.500055i | ||||
\(295\) | 2.31349 | 0.134696 | ||||||||
\(296\) | 0.392712 | − | 0.455568i | 0.0228259 | − | 0.0264794i | ||||
\(297\) | 20.7126 | + | 20.3366i | 1.20186 | + | 1.18005i | ||||
\(298\) | 3.83167 | − | 1.12864i | 0.221962 | − | 0.0653801i | ||||
\(299\) | −12.0650 | − | 12.0650i | −0.697736 | − | 0.697736i | ||||
\(300\) | 0.181302 | + | 3.45935i | 0.0104675 | + | 0.199726i | ||||
\(301\) | 0.499572 | − | 0.499572i | 0.0287948 | − | 0.0287948i | ||||
\(302\) | 19.0391 | + | 10.3750i | 1.09558 | + | 0.597017i | ||||
\(303\) | 7.00319 | + | 25.8207i | 0.402323 | + | 1.48336i | ||||
\(304\) | −15.2197 | + | 5.73599i | −0.872912 | + | 0.328982i | ||||
\(305\) | − | 0.930305i | − | 0.0532691i | ||||||
\(306\) | −7.84105 | + | 0.241265i | −0.448243 | + | 0.0137922i | ||||
\(307\) | 14.4031 | + | 14.4031i | 0.822030 | + | 0.822030i | 0.986399 | − | 0.164369i | \(-0.0525588\pi\) |
−0.164369 | + | 0.986399i | \(0.552559\pi\) | |||||||
\(308\) | −1.32733 | + | 6.15223i | −0.0756317 | + | 0.350556i | ||||
\(309\) | −13.6802 | + | 23.8628i | −0.778241 | + | 1.35751i | ||||
\(310\) | −0.497770 | − | 1.68991i | −0.0282715 | − | 0.0959803i | ||||
\(311\) | 10.8212i | 0.613613i | 0.951772 | + | 0.306806i | \(0.0992604\pi\) | ||||
−0.951772 | + | 0.306806i | \(0.900740\pi\) | |||||||
\(312\) | −18.3852 | + | 6.47901i | −1.04086 | + | 0.366802i | ||||
\(313\) | − | 12.5581i | − | 0.709825i | −0.934900 | − | 0.354912i | \(-0.884511\pi\) | ||
0.934900 | − | 0.354912i | \(-0.115489\pi\) | |||||||
\(314\) | −0.614925 | + | 0.181129i | −0.0347022 | + | 0.0102217i | ||||
\(315\) | −1.63502 | − | 0.427421i | −0.0921230 | − | 0.0240824i | ||||
\(316\) | 21.9996 | − | 14.1914i | 1.23757 | − | 0.798331i | ||||
\(317\) | 0.917933 | + | 0.917933i | 0.0515563 | + | 0.0515563i | 0.732415 | − | 0.680859i | \(-0.238393\pi\) |
−0.680859 | + | 0.732415i | \(0.738393\pi\) | |||||||
\(318\) | 7.00445 | − | 29.3731i | 0.392790 | − | 1.64716i | ||||
\(319\) | − | 2.93367i | − | 0.164254i | ||||||
\(320\) | −4.76133 | + | 6.42882i | −0.266167 | + | 0.359382i | ||||
\(321\) | 0.428930 | − | 0.116336i | 0.0239405 | − | 0.00649324i | ||||
\(322\) | 1.63460 | − | 2.99964i | 0.0910930 | − | 0.167164i | ||||
\(323\) | −5.31638 | + | 5.31638i | −0.295811 | + | 0.295811i | ||||
\(324\) | −17.9659 | + | 1.10665i | −0.998108 | + | 0.0614807i | ||||
\(325\) | 2.81363 | + | 2.81363i | 0.156072 | + | 0.156072i | ||||
\(326\) | 6.68453 | + | 22.6937i | 0.370222 | + | 1.25689i | ||||
\(327\) | −1.55478 | − | 5.73247i | −0.0859797 | − | 0.317006i | ||||
\(328\) | −1.51496 | − | 20.4454i | −0.0836499 | − | 1.12891i | ||||
\(329\) | −7.03212 | −0.387693 | ||||||||
\(330\) | 11.6563 | − | 7.16748i | 0.641657 | − | 0.394557i | ||||
\(331\) | 17.2545 | − | 17.2545i | 0.948393 | − | 0.948393i | −0.0503389 | − | 0.998732i | \(-0.516030\pi\) |
0.998732 | + | 0.0503389i | \(0.0160302\pi\) | |||||||
\(332\) | −9.16347 | − | 1.97700i | −0.502911 | − | 0.108502i | ||||
\(333\) | 0.161349 | − | 0.617214i | 0.00884190 | − | 0.0338231i | ||||
\(334\) | 6.58029 | − | 12.0754i | 0.360057 | − | 0.660737i | ||||
\(335\) | 11.6293 | 0.635378 | ||||||||
\(336\) | −2.28437 | − | 3.16442i | −0.124623 | − | 0.172633i | ||||
\(337\) | −15.5726 | −0.848293 | −0.424146 | − | 0.905594i | \(-0.639426\pi\) | ||||
−0.424146 | + | 0.905594i | \(0.639426\pi\) | |||||||
\(338\) | −1.91709 | + | 3.51803i | −0.104276 | + | 0.191356i | ||||
\(339\) | 19.4589 | + | 11.1555i | 1.05686 | + | 0.605885i | ||||
\(340\) | −0.779903 | + | 3.61488i | −0.0422962 | + | 0.196044i | ||||
\(341\) | −4.92069 | + | 4.92069i | −0.266470 | + | 0.266470i | ||||
\(342\) | −11.8176 | + | 12.5680i | −0.639024 | + | 0.679597i | ||||
\(343\) | −7.70774 | −0.416179 | ||||||||
\(344\) | −2.68684 | − | 2.31613i | −0.144865 | − | 0.124877i | ||||
\(345\) | −7.16815 | + | 1.94417i | −0.385920 | + | 0.104671i | ||||
\(346\) | −0.709313 | − | 2.40809i | −0.0381329 | − | 0.129460i | ||||
\(347\) | 2.06101 | + | 2.06101i | 0.110641 | + | 0.110641i | 0.760260 | − | 0.649619i | \(-0.225072\pi\) |
−0.649619 | + | 0.760260i | \(0.725072\pi\) | |||||||
\(348\) | 1.35192 | + | 1.21727i | 0.0724704 | + | 0.0652525i | ||||
\(349\) | −11.9252 | + | 11.9252i | −0.638341 | + | 0.638341i | −0.950146 | − | 0.311805i | \(-0.899066\pi\) |
0.311805 | + | 0.950146i | \(0.399066\pi\) | |||||||
\(350\) | −0.381200 | + | 0.699535i | −0.0203760 | + | 0.0373917i | ||||
\(351\) | −14.4855 | + | 14.7533i | −0.773181 | + | 0.787474i | ||||
\(352\) | 31.2982 | + | 4.36364i | 1.66820 | + | 0.232583i | ||||
\(353\) | 3.31846i | 0.176624i | 0.996093 | + | 0.0883118i | \(0.0281472\pi\) | ||||
−0.996093 | + | 0.0883118i | \(0.971853\pi\) | |||||||
\(354\) | 5.51230 | + | 1.31449i | 0.292976 | + | 0.0698642i | ||||
\(355\) | −8.97989 | − | 8.97989i | −0.476603 | − | 0.476603i | ||||
\(356\) | −15.2974 | − | 23.7140i | −0.810761 | − | 1.25684i | ||||
\(357\) | −1.56514 | − | 0.897276i | −0.0828361 | − | 0.0474889i | ||||
\(358\) | −15.2360 | + | 4.48784i | −0.805248 | + | 0.237190i | ||||
\(359\) | − | 13.4809i | − | 0.711495i | −0.934582 | − | 0.355747i | \(-0.884226\pi\) | ||
0.934582 | − | 0.355747i | \(-0.115774\pi\) | |||||||
\(360\) | −1.53357 | + | 8.34555i | −0.0808260 | + | 0.439849i | ||||
\(361\) | − | 2.46612i | − | 0.129796i | ||||||
\(362\) | 4.60671 | + | 15.6396i | 0.242124 | + | 0.821999i | ||||
\(363\) | −30.3637 | − | 17.4071i | −1.59368 | − | 0.913636i | ||||
\(364\) | −4.38216 | − | 0.945443i | −0.229688 | − | 0.0495547i | ||||
\(365\) | −7.24846 | − | 7.24846i | −0.379402 | − | 0.379402i | ||||
\(366\) | 0.528585 | − | 2.21662i | 0.0276296 | − | 0.115865i | ||||
\(367\) | 0.873241i | 0.0455828i | 0.999740 | + | 0.0227914i | \(0.00725536\pi\) | ||||
−0.999740 | + | 0.0227914i | \(0.992745\pi\) | |||||||
\(368\) | −15.6265 | − | 7.07193i | −0.814586 | − | 0.368650i | ||||
\(369\) | −10.9873 | − | 18.7651i | −0.571978 | − | 0.976872i | ||||
\(370\) | −0.264072 | − | 0.143901i | −0.0137284 | − | 0.00748107i | ||||
\(371\) | 4.91050 | − | 4.91050i | 0.254941 | − | 0.254941i | ||||
\(372\) | −0.225849 | − | 4.30934i | −0.0117097 | − | 0.223429i | ||||
\(373\) | 24.0709 | + | 24.0709i | 1.24635 | + | 1.24635i | 0.957322 | + | 0.289023i | \(0.0933305\pi\) |
0.289023 | + | 0.957322i | \(0.406670\pi\) | |||||||
\(374\) | 14.0125 | − | 4.12746i | 0.724571 | − | 0.213426i | ||||
\(375\) | 1.67166 | − | 0.453393i | 0.0863240 | − | 0.0234131i | ||||
\(376\) | 2.60911 | + | 35.2116i | 0.134554 | + | 1.81590i | ||||
\(377\) | 2.08962 | 0.107621 | ||||||||
\(378\) | −3.65288 | − | 1.94740i | −0.187884 | − | 0.100163i | ||||
\(379\) | 19.8062 | − | 19.8062i | 1.01738 | − | 1.01738i | 0.0175304 | − | 0.999846i | \(-0.494420\pi\) |
0.999846 | − | 0.0175304i | \(-0.00558039\pi\) | |||||||
\(380\) | 4.40838 | + | 6.83387i | 0.226145 | + | 0.350570i | ||||
\(381\) | −4.98196 | − | 2.85609i | −0.255233 | − | 0.146322i | ||||
\(382\) | −2.28620 | − | 1.24583i | −0.116972 | − | 0.0637420i | ||||
\(383\) | 12.6693 | 0.647369 | 0.323684 | − | 0.946165i | \(-0.395078\pi\) | ||||
0.323684 | + | 0.946165i | \(0.395078\pi\) | |||||||
\(384\) | −14.9975 | + | 12.6125i | −0.765337 | + | 0.643629i | ||||
\(385\) | 3.14689 | 0.160381 | ||||||||
\(386\) | −23.4166 | − | 12.7605i | −1.19187 | − | 0.649490i | ||||
\(387\) | −3.64018 | − | 0.951602i | −0.185041 | − | 0.0483727i | ||||
\(388\) | 17.5787 | + | 27.2505i | 0.892423 | + | 1.38343i | ||||
\(389\) | −1.23680 | + | 1.23680i | −0.0627081 | + | 0.0627081i | −0.737765 | − | 0.675057i | \(-0.764119\pi\) |
0.675057 | + | 0.737765i | \(0.264119\pi\) | |||||||
\(390\) | 5.10532 | + | 8.30263i | 0.258518 | + | 0.420420i | ||||
\(391\) | −7.92873 | −0.400973 | ||||||||
\(392\) | 1.39673 | + | 18.8498i | 0.0705454 | + | 0.952057i | ||||
\(393\) | −6.27863 | − | 23.1493i | −0.316715 | − | 1.16773i | ||||
\(394\) | −3.29340 | + | 0.970086i | −0.165919 | + | 0.0488722i | ||||
\(395\) | −9.25593 | − | 9.25593i | −0.465716 | − | 0.465716i | ||||
\(396\) | 31.8456 | − | 10.4549i | 1.60030 | − | 0.525379i | ||||
\(397\) | 5.66025 | − | 5.66025i | 0.284080 | − | 0.284080i | −0.550654 | − | 0.834734i | \(-0.685622\pi\) |
0.834734 | + | 0.550654i | \(0.185622\pi\) | |||||||
\(398\) | 17.5276 | + | 9.55135i | 0.878578 | + | 0.478766i | ||||
\(399\) | −3.82905 | + | 1.03853i | −0.191692 | + | 0.0519915i | ||||
\(400\) | 3.64418 | + | 1.64922i | 0.182209 | + | 0.0824608i | ||||
\(401\) | − | 30.0565i | − | 1.50095i | −0.660898 | − | 0.750476i | \(-0.729824\pi\) | ||
0.660898 | − | 0.750476i | \(-0.270176\pi\) | |||||||
\(402\) | 27.7090 | + | 6.60760i | 1.38200 | + | 0.329557i | ||||
\(403\) | −3.50495 | − | 3.50495i | −0.174594 | − | 0.174594i | ||||
\(404\) | 30.1975 | + | 6.51505i | 1.50238 | + | 0.324136i | ||||
\(405\) | 2.43535 | + | 8.66424i | 0.121013 | + | 0.430530i | ||||
\(406\) | 0.118210 | + | 0.401319i | 0.00586668 | + | 0.0199171i | ||||
\(407\) | 1.18794i | 0.0588839i | ||||||||
\(408\) | −3.91218 | + | 8.16998i | −0.193682 | + | 0.404474i | ||||
\(409\) | 29.4758i | 1.45748i | 0.684788 | + | 0.728742i | \(0.259895\pi\) | ||||
−0.684788 | + | 0.728742i | \(0.740105\pi\) | |||||||
\(410\) | −9.83305 | + | 2.89637i | −0.485620 | + | 0.143042i | ||||
\(411\) | 7.78866 | − | 13.5860i | 0.384186 | − | 0.670146i | ||||
\(412\) | 17.2170 | + | 26.6899i | 0.848222 | + | 1.31491i | ||||
\(413\) | 0.921528 | + | 0.921528i | 0.0453454 | + | 0.0453454i | ||||
\(414\) | −18.1841 | + | 0.559514i | −0.893698 | + | 0.0274986i | ||||
\(415\) | 4.68716i | 0.230084i | ||||||||
\(416\) | −3.10817 | + | 22.2934i | −0.152391 | + | 1.09302i | ||||
\(417\) | −4.15328 | − | 15.3131i | −0.203387 | − | 0.749885i | ||||
\(418\) | 15.3712 | − | 28.2076i | 0.751832 | − | 1.37968i | ||||
\(419\) | 3.58840 | − | 3.58840i | 0.175305 | − | 0.175305i | −0.614001 | − | 0.789306i | \(-0.710441\pi\) |
0.789306 | + | 0.614001i | \(0.210441\pi\) | |||||||
\(420\) | −1.30574 | + | 1.45018i | −0.0637137 | + | 0.0707614i | ||||
\(421\) | −26.8679 | − | 26.8679i | −1.30946 | − | 1.30946i | −0.921802 | − | 0.387661i | \(-0.873283\pi\) |
−0.387661 | − | 0.921802i | \(-0.626717\pi\) | |||||||
\(422\) | 0.0394097 | + | 0.133794i | 0.00191844 | + | 0.00651301i | ||||
\(423\) | 18.9226 | + | 32.3177i | 0.920050 | + | 1.57134i | ||||
\(424\) | −26.4101 | − | 22.7662i | −1.28259 | − | 1.10562i | ||||
\(425\) | 1.84903 | 0.0896910 | ||||||||
\(426\) | −16.2940 | − | 26.4984i | −0.789446 | − | 1.28385i | ||||
\(427\) | 0.370567 | − | 0.370567i | 0.0179330 | − | 0.0179330i | ||||
\(428\) | 0.108227 | − | 0.501638i | 0.00523136 | − | 0.0242476i | ||||
\(429\) | 19.1484 | − | 33.4011i | 0.924495 | − | 1.61262i | ||||
\(430\) | −0.848697 | + | 1.55743i | −0.0409278 | + | 0.0751061i | ||||
\(431\) | 5.50470 | 0.265152 | 0.132576 | − | 0.991173i | \(-0.457675\pi\) | ||||
0.132576 | + | 0.991173i | \(0.457675\pi\) | |||||||
\(432\) | −8.39581 | + | 19.0134i | −0.403943 | + | 0.914784i | ||||
\(433\) | −12.0995 | −0.581463 | −0.290731 | − | 0.956805i | \(-0.593899\pi\) | ||||
−0.290731 | + | 0.956805i | \(0.593899\pi\) | |||||||
\(434\) | 0.474862 | − | 0.871415i | 0.0227941 | − | 0.0418292i | ||||
\(435\) | 0.452389 | − | 0.789114i | 0.0216904 | − | 0.0378351i | ||||
\(436\) | −6.70418 | − | 1.44641i | −0.321072 | − | 0.0692706i | ||||
\(437\) | −12.3291 | + | 12.3291i | −0.589783 | + | 0.589783i | ||||
\(438\) | −13.1523 | − | 21.3892i | −0.628442 | − | 1.02202i | ||||
\(439\) | 31.4223 | 1.49970 | 0.749852 | − | 0.661606i | \(-0.230125\pi\) | ||||
0.749852 | + | 0.661606i | \(0.230125\pi\) | |||||||
\(440\) | −1.16758 | − | 15.7573i | −0.0556623 | − | 0.751199i | ||||
\(441\) | 10.1298 | + | 17.3006i | 0.482372 | + | 0.823836i | ||||
\(442\) | 2.93994 | + | 9.98097i | 0.139839 | + | 0.474746i | ||||
\(443\) | −3.58925 | − | 3.58925i | −0.170530 | − | 0.170530i | 0.616682 | − | 0.787212i | \(-0.288476\pi\) |
−0.787212 | + | 0.616682i | \(0.788476\pi\) | |||||||
\(444\) | −0.547436 | − | 0.492912i | −0.0259802 | − | 0.0233926i | ||||
\(445\) | −9.97726 | + | 9.97726i | −0.472968 | + | 0.472968i | ||||
\(446\) | −17.4681 | + | 32.0556i | −0.827141 | + | 1.51788i | ||||
\(447\) | −1.28060 | − | 4.72158i | −0.0605705 | − | 0.223323i | ||||
\(448\) | −4.45736 | + | 0.664208i | −0.210590 | + | 0.0313809i | ||||
\(449\) | − | 22.3166i | − | 1.05318i | −0.850118 | − | 0.526592i | \(-0.823470\pi\) | ||
0.850118 | − | 0.526592i | \(-0.176530\pi\) | |||||||
\(450\) | 4.24063 | − | 0.130482i | 0.199905 | − | 0.00615098i | ||||
\(451\) | 28.6320 | + | 28.6320i | 1.34823 | + | 1.34823i | ||||
\(452\) | 21.7642 | − | 14.0396i | 1.02370 | − | 0.660368i | ||||
\(453\) | 13.2075 | − | 23.0382i | 0.620542 | − | 1.08243i | ||||
\(454\) | 11.4326 | − | 3.36753i | 0.536559 | − | 0.158046i | ||||
\(455\) | 2.24150i | 0.105083i | ||||||||
\(456\) | 6.62086 | + | 18.7877i | 0.310050 | + | 0.879814i | ||||
\(457\) | − | 22.4547i | − | 1.05039i | −0.850983 | − | 0.525193i | \(-0.823993\pi\) | ||
0.850983 | − | 0.525193i | \(-0.176007\pi\) | |||||||
\(458\) | 3.77501 | + | 12.8160i | 0.176395 | + | 0.598852i | ||||
\(459\) | 0.0879896 | + | 9.60743i | 0.00410700 | + | 0.448436i | ||||
\(460\) | −1.80866 | + | 8.38322i | −0.0843293 | + | 0.390870i | ||||
\(461\) | 21.1543 | + | 21.1543i | 0.985252 | + | 0.985252i | 0.999893 | − | 0.0146408i | \(-0.00466046\pi\) |
−0.0146408 | + | 0.999893i | \(0.504660\pi\) | |||||||
\(462\) | 7.49804 | + | 1.78801i | 0.348840 | + | 0.0831860i | ||||
\(463\) | − | 2.14084i | − | 0.0994931i | −0.998762 | − | 0.0497466i | \(-0.984159\pi\) | ||
0.998762 | − | 0.0497466i | \(-0.0158414\pi\) | |||||||
\(464\) | 1.96565 | − | 0.740810i | 0.0912529 | − | 0.0343912i | ||||
\(465\) | −2.08239 | + | 0.564794i | −0.0965686 | + | 0.0261917i | ||||
\(466\) | −33.6580 | − | 18.3413i | −1.55918 | − | 0.849646i | ||||
\(467\) | −6.25077 | + | 6.25077i | −0.289251 | + | 0.289251i | −0.836784 | − | 0.547533i | \(-0.815567\pi\) |
0.547533 | + | 0.836784i | \(0.315567\pi\) | |||||||
\(468\) | 7.44691 | + | 22.6833i | 0.344234 | + | 1.04854i | ||||
\(469\) | 4.63229 | + | 4.63229i | 0.213899 | + | 0.213899i | ||||
\(470\) | 16.9347 | − | 4.98820i | 0.781140 | − | 0.230088i | ||||
\(471\) | 0.205518 | + | 0.757742i | 0.00946976 | + | 0.0349149i | ||||
\(472\) | 4.27241 | − | 4.95624i | 0.196654 | − | 0.228129i | ||||
\(473\) | 7.00619 | 0.322145 | ||||||||
\(474\) | −16.7948 | − | 27.3130i | −0.771413 | − | 1.25453i | ||||
\(475\) | 2.87523 | − | 2.87523i | 0.131925 | − | 0.131925i | ||||
\(476\) | −1.75057 | + | 1.12925i | −0.0802372 | + | 0.0517592i | ||||
\(477\) | −35.7809 | − | 9.35370i | −1.63830 | − | 0.428277i | ||||
\(478\) | −14.4713 | − | 7.88587i | −0.661901 | − | 0.360691i | ||||
\(479\) | 30.9971 | 1.41629 | 0.708147 | − | 0.706065i | \(-0.249531\pi\) | ||||
0.708147 | + | 0.706065i | \(0.249531\pi\) | |||||||
\(480\) | 7.74587 | + | 6.00013i | 0.353549 | + | 0.273867i | ||||
\(481\) | −0.846156 | −0.0385814 | ||||||||
\(482\) | −6.66984 | − | 3.63461i | −0.303803 | − | 0.165552i | ||||
\(483\) | −3.62970 | − | 2.08086i | −0.165157 | − | 0.0946824i | ||||
\(484\) | −33.9609 | + | 21.9074i | −1.54368 | + | 0.995793i | ||||
\(485\) | 11.4652 | − | 11.4652i | 0.520606 | − | 0.520606i | ||||
\(486\) | 0.879775 | + | 22.0278i | 0.0399074 | + | 0.999203i | ||||
\(487\) | −23.8317 | −1.07992 | −0.539959 | − | 0.841691i | \(-0.681560\pi\) | ||||
−0.539959 | + | 0.841691i | \(0.681560\pi\) | |||||||
\(488\) | −1.99301 | − | 1.71803i | −0.0902195 | − | 0.0777717i | ||||
\(489\) | 27.9643 | − | 7.58458i | 1.26459 | − | 0.342987i | ||||
\(490\) | 9.06562 | − | 2.67032i | 0.409543 | − | 0.120633i | ||||
\(491\) | 10.5656 | + | 10.5656i | 0.476819 | + | 0.476819i | 0.904113 | − | 0.427294i | \(-0.140533\pi\) |
−0.427294 | + | 0.904113i | \(0.640533\pi\) | |||||||
\(492\) | −25.0747 | + | 1.31414i | −1.13045 | + | 0.0592461i | ||||
\(493\) | 0.686616 | − | 0.686616i | 0.0309236 | − | 0.0309236i | ||||
\(494\) | 20.0919 | + | 10.9488i | 0.903980 | + | 0.492608i | ||||
\(495\) | −8.46793 | − | 14.4622i | −0.380605 | − | 0.650030i | ||||
\(496\) | −4.53958 | − | 2.05444i | −0.203833 | − | 0.0922470i | ||||
\(497\) | − | 7.15389i | − | 0.320896i | ||||||
\(498\) | −2.66317 | + | 11.1680i | −0.119339 | + | 0.500450i | ||||
\(499\) | 5.65208 | + | 5.65208i | 0.253022 | + | 0.253022i | 0.822208 | − | 0.569187i | \(-0.192742\pi\) |
−0.569187 | + | 0.822208i | \(0.692742\pi\) | |||||||
\(500\) | 0.421791 | − | 1.95502i | 0.0188631 | − | 0.0874310i | ||||
\(501\) | −14.6118 | − | 8.37674i | −0.652806 | − | 0.374245i | ||||
\(502\) | −0.308050 | − | 1.04582i | −0.0137489 | − | 0.0466770i | ||||
\(503\) | 2.22054i | 0.0990088i | 0.998774 | + | 0.0495044i | \(0.0157642\pi\) | ||||
−0.998774 | + | 0.0495044i | \(0.984236\pi\) | |||||||
\(504\) | −3.93513 | + | 2.71341i | −0.175285 | + | 0.120865i | ||||
\(505\) | − | 15.4462i | − | 0.687346i | ||||||
\(506\) | 32.4963 | − | 9.57193i | 1.44464 | − | 0.425524i | ||||
\(507\) | 4.25697 | + | 2.44047i | 0.189059 | + | 0.108385i | ||||
\(508\) | −5.57218 | + | 3.59449i | −0.247225 | + | 0.159480i | ||||
\(509\) | −14.6006 | − | 14.6006i | −0.647161 | − | 0.647161i | 0.305145 | − | 0.952306i | \(-0.401295\pi\) |
−0.952306 | + | 0.305145i | \(0.901295\pi\) | |||||||
\(510\) | 4.40564 | + | 1.05059i | 0.195085 | + | 0.0465208i | ||||
\(511\) | − | 5.77454i | − | 0.255451i | ||||||
\(512\) | 4.97966 | + | 22.0727i | 0.220072 | + | 0.975484i | ||||
\(513\) | 15.0763 | + | 14.8027i | 0.665636 | + | 0.653554i | ||||
\(514\) | −6.72263 | + | 12.3366i | −0.296523 | + | 0.544145i | ||||
\(515\) | 11.2293 | − | 11.2293i | 0.494821 | − | 0.494821i | ||||
\(516\) | −2.90708 | + | 3.22865i | −0.127977 | + | 0.142133i | ||||
\(517\) | −49.3106 | − | 49.3106i | −2.16868 | − | 2.16868i | ||||
\(518\) | −0.0478673 | − | 0.162507i | −0.00210317 | − | 0.00714016i | ||||
\(519\) | −2.96737 | + | 0.804821i | −0.130253 | + | 0.0353277i | ||||
\(520\) | 11.2237 | − | 0.831656i | 0.492194 | − | 0.0364705i | ||||
\(521\) | −17.9574 | −0.786728 | −0.393364 | − | 0.919383i | \(-0.628689\pi\) | ||||
−0.393364 | + | 0.919383i | \(0.628689\pi\) | |||||||
\(522\) | 1.52626 | − | 1.62317i | 0.0668026 | − | 0.0710441i | ||||
\(523\) | −15.8724 | + | 15.8724i | −0.694051 | + | 0.694051i | −0.963121 | − | 0.269070i | \(-0.913284\pi\) |
0.269070 | + | 0.963121i | \(0.413284\pi\) | |||||||
\(524\) | −27.0733 | − | 5.84100i | −1.18270 | − | 0.255165i | ||||
\(525\) | 0.846468 | + | 0.485269i | 0.0369429 | + | 0.0211789i | ||||
\(526\) | 3.12286 | − | 5.73073i | 0.136163 | − | 0.249872i | ||||
\(527\) | −2.30334 | −0.100335 | ||||||||
\(528\) | 6.17107 | − | 38.2080i | 0.268561 | − | 1.66279i | ||||
\(529\) | 4.61259 | 0.200547 | ||||||||
\(530\) | −8.34220 | + | 15.3087i | −0.362362 | + | 0.664966i | ||||
\(531\) | 1.75536 | − | 6.71481i | 0.0761761 | − | 0.291398i | ||||
\(532\) | −0.966142 | + | 4.47811i | −0.0418876 | + | 0.194151i | ||||
\(533\) | −20.3942 | + | 20.3942i | −0.883372 | + | 0.883372i | ||||
\(534\) | −29.4415 | + | 18.1037i | −1.27406 | + | 0.783424i | ||||
\(535\) | −0.256590 | −0.0110933 | ||||||||
\(536\) | 21.4763 | − | 24.9138i | 0.927637 | − | 1.07611i | ||||
\(537\) | 5.09211 | + | 18.7746i | 0.219741 | + | 0.810183i | ||||
\(538\) | −2.04261 | − | 6.93458i | −0.0880633 | − | 0.298971i | ||||
\(539\) | −26.3974 | − | 26.3974i | −1.13701 | − | 1.13701i | ||||
\(540\) | 10.1782 | + | 2.09856i | 0.438001 | + | 0.0903078i | ||||
\(541\) | −4.11204 | + | 4.11204i | −0.176791 | + | 0.176791i | −0.789955 | − | 0.613165i | \(-0.789896\pi\) |
0.613165 | + | 0.789955i | \(0.289896\pi\) | |||||||
\(542\) | −2.98273 | + | 5.47358i | −0.128119 | + | 0.235110i | ||||
\(543\) | 19.2719 | − | 5.22700i | 0.827037 | − | 0.224312i | ||||
\(544\) | 6.30396 | + | 8.34655i | 0.270280 | + | 0.357856i | ||||
\(545\) | 3.42922i | 0.146892i | ||||||||
\(546\) | −1.27358 | + | 5.34077i | −0.0545043 | + | 0.228564i | ||||
\(547\) | −14.7651 | − | 14.7651i | −0.631309 | − | 0.631309i | 0.317087 | − | 0.948396i | \(-0.397295\pi\) |
−0.948396 | + | 0.317087i | \(0.897295\pi\) | |||||||
\(548\) | −9.80230 | − | 15.1955i | −0.418733 | − | 0.649121i | ||||
\(549\) | −2.70018 | − | 0.705870i | −0.115241 | − | 0.0301258i | ||||
\(550\) | −7.57832 | + | 2.23223i | −0.323141 | + | 0.0951826i | ||||
\(551\) | − | 2.13537i | − | 0.0909698i | ||||||
\(552\) | −9.07268 | + | 18.9469i | −0.386159 | + | 0.806433i | ||||
\(553\) | − | 7.37380i | − | 0.313566i | ||||||
\(554\) | 4.23228 | + | 14.3684i | 0.179812 | + | 0.610455i | ||||
\(555\) | −0.183187 | + | 0.319538i | −0.00777586 | + | 0.0135636i | ||||
\(556\) | −17.9088 | − | 3.86379i | −0.759502 | − | 0.163861i | ||||
\(557\) | −14.6624 | − | 14.6624i | −0.621264 | − | 0.621264i | 0.324591 | − | 0.945855i | \(-0.394773\pi\) |
−0.945855 | + | 0.324591i | \(0.894773\pi\) | |||||||
\(558\) | −5.28258 | + | 0.162542i | −0.223629 | + | 0.00688095i | ||||
\(559\) | 4.99043i | 0.211073i | ||||||||
\(560\) | 0.794653 | + | 2.10851i | 0.0335802 | + | 0.0891009i | ||||
\(561\) | −4.68321 | − | 17.2670i | −0.197725 | − | 0.729012i | ||||
\(562\) | −27.4824 | − | 14.9761i | −1.15928 | − | 0.631727i | ||||
\(563\) | −2.01094 | + | 2.01094i | −0.0847511 | + | 0.0847511i | −0.748211 | − | 0.663460i | \(-0.769087\pi\) |
0.663460 | + | 0.748211i | \(0.269087\pi\) | |||||||
\(564\) | 43.1842 | − | 2.26325i | 1.81838 | − | 0.0952999i | ||||
\(565\) | −9.15691 | − | 9.15691i | −0.385234 | − | 0.385234i | ||||
\(566\) | 25.4732 | − | 7.50324i | 1.07072 | − | 0.315385i | ||||
\(567\) | −2.48115 | + | 4.42128i | −0.104198 | + | 0.185676i | ||||
\(568\) | −35.8213 | + | 2.65429i | −1.50303 | + | 0.111371i | ||||
\(569\) | −30.4097 | −1.27484 | −0.637420 | − | 0.770516i | \(-0.719998\pi\) | ||||
−0.637420 | + | 0.770516i | \(0.719998\pi\) | |||||||
\(570\) | 8.48441 | − | 5.21709i | 0.355373 | − | 0.218520i | ||||
\(571\) | −6.43255 | + | 6.43255i | −0.269194 | + | 0.269194i | −0.828775 | − | 0.559581i | \(-0.810962\pi\) |
0.559581 | + | 0.828775i | \(0.310962\pi\) | |||||||
\(572\) | −24.0990 | − | 37.3582i | −1.00763 | − | 1.56203i | ||||
\(573\) | −1.58594 | + | 2.76640i | −0.0662537 | + | 0.115568i | ||||
\(574\) | −5.07049 | − | 2.76308i | −0.211638 | − | 0.115329i | ||||
\(575\) | 4.28805 | 0.178824 | ||||||||
\(576\) | 15.0468 | + | 18.6975i | 0.626948 | + | 0.779061i | ||||
\(577\) | 4.57889 | 0.190622 | 0.0953108 | − | 0.995448i | \(-0.469616\pi\) | ||||
0.0953108 | + | 0.995448i | \(0.469616\pi\) | |||||||
\(578\) | −16.8651 | − | 9.19033i | −0.701494 | − | 0.382267i | ||||
\(579\) | −16.2441 | + | 28.3351i | −0.675083 | + | 1.17756i | ||||
\(580\) | −0.569347 | − | 0.882602i | −0.0236408 | − | 0.0366480i | ||||
\(581\) | −1.86703 | + | 1.86703i | −0.0774574 | + | 0.0774574i | ||||
\(582\) | 33.8322 | − | 20.8035i | 1.40239 | − | 0.862333i | ||||
\(583\) | 68.8668 | 2.85217 | ||||||||
\(584\) | −28.9146 | + | 2.14251i | −1.19649 | + | 0.0886577i | ||||
\(585\) | 10.3013 | − | 6.03161i | 0.425906 | − | 0.249376i | ||||
\(586\) | 31.0019 | − | 9.13176i | 1.28068 | − | 0.377230i | ||||
\(587\) | −7.23894 | − | 7.23894i | −0.298783 | − | 0.298783i | 0.541754 | − | 0.840537i | \(-0.317760\pi\) |
−0.840537 | + | 0.541754i | \(0.817760\pi\) | |||||||
\(588\) | 23.1177 | − | 1.21158i | 0.953359 | − | 0.0499647i | ||||
\(589\) | −3.58169 | + | 3.58169i | −0.147581 | + | 0.147581i | ||||
\(590\) | −2.87290 | − | 1.56554i | −0.118275 | − | 0.0644521i | ||||
\(591\) | 1.10071 | + | 4.05830i | 0.0452770 | + | 0.166936i | ||||
\(592\) | −0.795955 | + | 0.299978i | −0.0327135 | + | 0.0123290i | ||||
\(593\) | − | 16.5711i | − | 0.680494i | −0.940336 | − | 0.340247i | \(-0.889489\pi\) | ||
0.940336 | − | 0.340247i | \(-0.110511\pi\) | |||||||
\(594\) | −11.9592 | − | 39.2703i | −0.490690 | − | 1.61128i | ||||
\(595\) | 0.736521 | + | 0.736521i | 0.0301944 | + | 0.0301944i | ||||
\(596\) | −5.52193 | − | 1.19134i | −0.226187 | − | 0.0487994i | ||||
\(597\) | 12.1589 | − | 21.2091i | 0.497631 | − | 0.868032i | ||||
\(598\) | 6.81798 | + | 23.1467i | 0.278808 | + | 0.946540i | ||||
\(599\) | 43.9020i | 1.79379i | 0.442248 | + | 0.896893i | \(0.354181\pi\) | ||||
−0.442248 | + | 0.896893i | \(0.645819\pi\) | |||||||
\(600\) | 2.11580 | − | 4.41853i | 0.0863773 | − | 0.180386i | ||||
\(601\) | 44.3616i | 1.80955i | 0.425891 | + | 0.904775i | \(0.359961\pi\) | ||||
−0.425891 | + | 0.904775i | \(0.640039\pi\) | |||||||
\(602\) | −0.958431 | + | 0.282310i | −0.0390627 | + | 0.0115061i | ||||
\(603\) | 8.82375 | − | 33.7537i | 0.359331 | − | 1.37456i | ||||
\(604\) | −16.6221 | − | 25.7675i | −0.676343 | − | 1.04847i | ||||
\(605\) | 14.2885 | + | 14.2885i | 0.580908 | + | 0.580908i | ||||
\(606\) | 8.77627 | − | 36.8033i | 0.356512 | − | 1.49503i | ||||
\(607\) | 23.3252i | 0.946742i | 0.880863 | + | 0.473371i | \(0.156963\pi\) | ||||
−0.880863 | + | 0.473371i | \(0.843037\pi\) | |||||||
\(608\) | 22.7815 | + | 3.17622i | 0.923911 | + | 0.128813i | ||||
\(609\) | 0.494526 | − | 0.134127i | 0.0200392 | − | 0.00543511i | ||||
\(610\) | −0.629537 | + | 1.15526i | −0.0254892 | + | 0.0467750i | ||||
\(611\) | 35.1234 | − | 35.1234i | 1.42094 | − | 1.42094i | ||||
\(612\) | 9.90031 | + | 5.00643i | 0.400196 | + | 0.202373i | ||||
\(613\) | 13.5475 | + | 13.5475i | 0.547179 | + | 0.547179i | 0.925624 | − | 0.378445i | \(-0.123541\pi\) |
−0.378445 | + | 0.925624i | \(0.623541\pi\) | |||||||
\(614\) | −8.13927 | − | 27.6324i | −0.328474 | − | 1.11515i | ||||
\(615\) | 3.28636 | + | 12.1168i | 0.132519 | + | 0.488596i | ||||
\(616\) | 5.81150 | − | 6.74166i | 0.234152 | − | 0.271629i | ||||
\(617\) | −11.2760 | −0.453955 | −0.226977 | − | 0.973900i | \(-0.572884\pi\) | ||||
−0.226977 | + | 0.973900i | \(0.572884\pi\) | |||||||
\(618\) | 33.1361 | − | 20.3755i | 1.33293 | − | 0.819623i | ||||
\(619\) | 9.25371 | − | 9.25371i | 0.371938 | − | 0.371938i | −0.496245 | − | 0.868183i | \(-0.665288\pi\) |
0.868183 | + | 0.496245i | \(0.165288\pi\) | |||||||
\(620\) | −0.525427 | + | 2.43538i | −0.0211017 | + | 0.0978070i | ||||
\(621\) | 0.204056 | + | 22.2804i | 0.00818847 | + | 0.894084i | ||||
\(622\) | 7.32269 | − | 13.4378i | 0.293613 | − | 0.538806i | ||||
\(623\) | −7.94846 | −0.318448 | ||||||||
\(624\) | 27.2151 | + | 4.39558i | 1.08948 | + | 0.175964i | ||||
\(625\) | −1.00000 | −0.0400000 | ||||||||
\(626\) | −8.49805 | + | 15.5947i | −0.339650 | + | 0.623288i | ||||
\(627\) | −34.1324 | − | 19.5677i | −1.36312 | − | 0.781457i | ||||
\(628\) | 0.886187 | + | 0.191193i | 0.0353627 | + | 0.00762943i | ||||
\(629\) | −0.278033 | + | 0.278033i | −0.0110859 | + | 0.0110859i | ||||
\(630\) | 1.74114 | + | 1.63719i | 0.0693687 | + | 0.0652272i | ||||
\(631\) | −14.7105 | −0.585616 | −0.292808 | − | 0.956171i | \(-0.594590\pi\) | ||||
−0.292808 | + | 0.956171i | \(0.594590\pi\) | |||||||
\(632\) | −36.9225 | + | 2.73588i | −1.46870 | + | 0.108827i | ||||
\(633\) | 0.164868 | − | 0.0447162i | 0.00655292 | − | 0.00177731i | ||||
\(634\) | −0.518728 | − | 1.76106i | −0.0206013 | − | 0.0699406i | ||||
\(635\) | 2.34440 | + | 2.34440i | 0.0930345 | + | 0.0930345i | ||||
\(636\) | −28.5749 | + | 31.7358i | −1.13307 | + | 1.25841i | ||||
\(637\) | 18.8025 | − | 18.8025i | 0.744984 | − | 0.744984i | ||||
\(638\) | −1.98521 | + | 3.64304i | −0.0785954 | + | 0.144229i | ||||
\(639\) | −32.8773 | + | 19.2503i | −1.30061 | + | 0.761530i | ||||
\(640\) | 10.2630 | − | 4.76134i | 0.405682 | − | 0.188209i | ||||
\(641\) | 3.29813i | 0.130268i | 0.997877 | + | 0.0651342i | \(0.0207475\pi\) | ||||
−0.997877 | + | 0.0651342i | \(0.979252\pi\) | |||||||
\(642\) | −0.611372 | − | 0.145790i | −0.0241289 | − | 0.00575388i | ||||
\(643\) | −2.22462 | − | 2.22462i | −0.0877303 | − | 0.0877303i | 0.661880 | − | 0.749610i | \(-0.269759\pi\) |
−0.749610 | + | 0.661880i | \(0.769759\pi\) | |||||||
\(644\) | −4.05972 | + | 2.61883i | −0.159975 | + | 0.103197i | ||||
\(645\) | 1.88456 | + | 1.08040i | 0.0742046 | + | 0.0425405i | ||||
\(646\) | 10.1995 | − | 3.00431i | 0.401294 | − | 0.118203i | ||||
\(647\) | − | 35.7052i | − | 1.40372i | −0.712316 | − | 0.701858i | \(-0.752354\pi\) | ||
0.712316 | − | 0.701858i | \(-0.247646\pi\) | |||||||
\(648\) | 23.0591 | + | 10.7833i | 0.905845 | + | 0.423608i | ||||
\(649\) | 12.9239i | 0.507306i | ||||||||
\(650\) | −1.58999 | − | 5.39796i | −0.0623647 | − | 0.211725i | ||||
\(651\) | −1.05445 | − | 0.604502i | −0.0413271 | − | 0.0236923i | ||||
\(652\) | 7.05593 | − | 32.7045i | 0.276331 | − | 1.28081i | ||||
\(653\) | −6.79809 | − | 6.79809i | −0.266030 | − | 0.266030i | 0.561468 | − | 0.827498i | \(-0.310237\pi\) |
−0.827498 | + | 0.561468i | \(0.810237\pi\) | |||||||
\(654\) | −1.94843 | + | 8.17073i | −0.0761895 | + | 0.319501i | ||||
\(655\) | 13.8481i | 0.541090i | ||||||||
\(656\) | −11.9541 | + | 26.4144i | −0.466731 | + | 1.03131i | ||||
\(657\) | −26.5382 | + | 15.5386i | −1.03535 | + | 0.606220i | ||||
\(658\) | 8.73252 | + | 4.75863i | 0.340429 | + | 0.185511i | ||||
\(659\) | −28.5628 | + | 28.5628i | −1.11265 | + | 1.11265i | −0.119857 | + | 0.992791i | \(0.538244\pi\) |
−0.992791 | + | 0.119857i | \(0.961756\pi\) | |||||||
\(660\) | −19.3250 | + | 1.01281i | −0.752226 | + | 0.0394235i | ||||
\(661\) | 22.5826 | + | 22.5826i | 0.878362 | + | 0.878362i | 0.993365 | − | 0.115003i | \(-0.0366878\pi\) |
−0.115003 | + | 0.993365i | \(0.536688\pi\) | |||||||
\(662\) | −33.1028 | + | 9.75059i | −1.28658 | + | 0.378968i | ||||
\(663\) | 12.2991 | − | 3.33580i | 0.477656 | − | 0.129552i | ||||
\(664\) | 10.0414 | + | 8.65597i | 0.389682 | + | 0.335917i | ||||
\(665\) | 2.29057 | 0.0888245 | ||||||||
\(666\) | −0.618033 | + | 0.657273i | −0.0239483 | + | 0.0254688i | ||||
\(667\) | 1.59232 | − | 1.59232i | 0.0616550 | − | 0.0616550i | ||||
\(668\) | −16.3429 | + | 10.5424i | −0.632324 | + | 0.407898i | ||||
\(669\) | 38.7887 | + | 22.2370i | 1.49966 | + | 0.859734i | ||||
\(670\) | −14.4413 | − | 7.86956i | −0.557918 | − | 0.304028i | ||||
\(671\) | 5.19698 | 0.200627 | ||||||||
\(672\) | 0.695380 | + | 5.47542i | 0.0268249 | + | 0.211219i | ||||
\(673\) | −18.0179 | −0.694540 | −0.347270 | − | 0.937765i | \(-0.612891\pi\) | ||||
−0.347270 | + | 0.937765i | \(0.612891\pi\) | |||||||
\(674\) | 19.3381 | + | 10.5380i | 0.744876 | + | 0.405907i | ||||
\(675\) | −0.0475870 | − | 5.19593i | −0.00183162 | − | 0.199992i | ||||
\(676\) | 4.76130 | − | 3.07141i | 0.183127 | − | 0.118131i | ||||
\(677\) | −6.22469 | + | 6.22469i | −0.239234 | + | 0.239234i | −0.816533 | − | 0.577299i | \(-0.804107\pi\) |
0.577299 | + | 0.816533i | \(0.304107\pi\) | |||||||
\(678\) | −16.6152 | − | 27.0208i | −0.638102 | − | 1.03773i | ||||
\(679\) | 9.13381 | 0.350523 | ||||||||
\(680\) | 3.41468 | − | 3.96121i | 0.130947 | − | 0.151906i | ||||
\(681\) | −3.82096 | − | 14.0878i | −0.146419 | − | 0.539847i | ||||
\(682\) | 9.44036 | − | 2.78070i | 0.361490 | − | 0.106479i | ||||
\(683\) | 20.9599 | + | 20.9599i | 0.802009 | + | 0.802009i | 0.983409 | − | 0.181400i | \(-0.0580629\pi\) |
−0.181400 | + | 0.983409i | \(0.558063\pi\) | |||||||
\(684\) | 23.1799 | − | 7.60995i | 0.886306 | − | 0.290974i | ||||
\(685\) | −6.39325 | + | 6.39325i | −0.244273 | + | 0.244273i | ||||
\(686\) | 9.57151 | + | 5.21583i | 0.365442 | + | 0.199141i | ||||
\(687\) | 15.7925 | − | 4.28331i | 0.602522 | − | 0.163418i | ||||
\(688\) | 1.76920 | + | 4.69436i | 0.0674502 | + | 0.178971i | ||||
\(689\) | 49.0531i | 1.86877i | ||||||||
\(690\) | 10.2171 | + | 2.43640i | 0.388957 | + | 0.0927523i | ||||
\(691\) | 10.1569 | + | 10.1569i | 0.386387 | + | 0.386387i | 0.873397 | − | 0.487010i | \(-0.161912\pi\) |
−0.487010 | + | 0.873397i | \(0.661912\pi\) | |||||||
\(692\) | −0.748724 | + | 3.47037i | −0.0284622 | + | 0.131923i | ||||
\(693\) | 2.38771 | − | 9.13374i | 0.0907015 | − | 0.346962i | ||||
\(694\) | −1.16468 | − | 3.95405i | −0.0442108 | − | 0.150094i | ||||
\(695\) | 9.16043i | 0.347475i | ||||||||
\(696\) | −0.855091 | − | 2.42645i | −0.0324122 | − | 0.0919744i | ||||
\(697\) | 13.4024i | 0.507654i | ||||||||
\(698\) | 22.8785 | − | 6.73897i | 0.865965 | − | 0.255074i | ||||
\(699\) | −23.3486 | + | 40.7276i | −0.883126 | + | 1.54046i | ||||
\(700\) | 0.946751 | − | 0.610728i | 0.0357838 | − | 0.0230833i | ||||
\(701\) | 23.2304 | + | 23.2304i | 0.877402 | + | 0.877402i | 0.993265 | − | 0.115863i | \(-0.0369634\pi\) |
−0.115863 | + | 0.993265i | \(0.536963\pi\) | |||||||
\(702\) | 27.9718 | − | 8.51837i | 1.05573 | − | 0.321505i | ||||
\(703\) | 0.864681i | 0.0326121i | ||||||||
\(704\) | −35.9134 | − | 26.5983i | −1.35354 | − | 1.00246i | ||||
\(705\) | −5.65985 | − | 20.8678i | −0.213162 | − | 0.785927i | ||||
\(706\) | 2.24560 | − | 4.12087i | 0.0845142 | − | 0.155091i | ||||
\(707\) | 6.15265 | − | 6.15265i | 0.231394 | − | 0.231394i | ||||
\(708\) | −5.95569 | − | 5.36251i | −0.223828 | − | 0.201535i | ||||
\(709\) | 5.27993 | + | 5.27993i | 0.198292 | + | 0.198292i | 0.799267 | − | 0.600976i | \(-0.205221\pi\) |
−0.600976 | + | 0.799267i | \(0.705221\pi\) | |||||||
\(710\) | 5.07457 | + | 17.2280i | 0.190445 | + | 0.646553i | ||||
\(711\) | −33.8879 | + | 19.8421i | −1.27090 | + | 0.744135i | ||||
\(712\) | 2.94909 | + | 39.7999i | 0.110522 | + | 1.49157i | ||||
\(713\) | −5.34165 | −0.200046 | ||||||||
\(714\) | 1.33641 | + | 2.17337i | 0.0500140 | + | 0.0813364i | ||||
\(715\) | −15.7178 | + | 15.7178i | −0.587813 | + | 0.587813i | ||||
\(716\) | 21.9570 | + | 4.73719i | 0.820573 | + | 0.177037i | ||||
\(717\) | −10.0388 | + | 17.5109i | −0.374904 | + | 0.653955i | ||||
\(718\) | −9.12252 | + | 16.7406i | −0.340449 | + | 0.624755i | ||||
\(719\) | −9.22912 | −0.344188 | −0.172094 | − | 0.985081i | \(-0.555053\pi\) | ||||
−0.172094 | + | 0.985081i | \(0.555053\pi\) | |||||||
\(720\) | 7.55182 | − | 9.32577i | 0.281440 | − | 0.347551i | ||||
\(721\) | 8.94589 | 0.333162 | ||||||||
\(722\) | −1.66882 | + | 3.06244i | −0.0621072 | + | 0.113972i | ||||
\(723\) | −4.62688 | + | 8.07079i | −0.172076 | + | 0.300156i | ||||
\(724\) | 4.86267 | − | 22.5387i | 0.180720 | − | 0.837643i | ||||
\(725\) | −0.371339 | + | 0.371339i | −0.0137912 | + | 0.0137912i | ||||
\(726\) | 25.9264 | + | 42.1633i | 0.962217 | + | 1.56483i | ||||
\(727\) | 28.4964 | 1.05687 | 0.528437 | − | 0.848973i | \(-0.322778\pi\) | ||||
0.528437 | + | 0.848973i | \(0.322778\pi\) | |||||||
\(728\) | 4.80201 | + | 4.13946i | 0.177974 | + | 0.153419i | ||||
\(729\) | 26.9955 | − | 0.494518i | 0.999832 | − | 0.0183155i | ||||
\(730\) | 4.09614 | + | 13.9062i | 0.151605 | + | 0.514692i | ||||
\(731\) | 1.63978 | + | 1.63978i | 0.0606494 | + | 0.0606494i | ||||
\(732\) | −2.15639 | + | 2.39492i | −0.0797023 | + | 0.0885186i | ||||
\(733\) | −16.5785 | + | 16.5785i | −0.612342 | + | 0.612342i | −0.943556 | − | 0.331214i | \(-0.892542\pi\) |
0.331214 | + | 0.943556i | \(0.392542\pi\) | |||||||
\(734\) | 0.590922 | − | 1.08439i | 0.0218113 | − | 0.0400257i | ||||
\(735\) | −3.02988 | − | 11.1711i | −0.111759 | − | 0.412053i | ||||
\(736\) | 14.6194 | + | 19.3564i | 0.538879 | + | 0.713486i | ||||
\(737\) | 64.9651i | 2.39302i | ||||||||
\(738\) | 0.945782 | + | 30.7377i | 0.0348147 | + | 1.13147i | ||||
\(739\) | −10.4505 | − | 10.4505i | −0.384429 | − | 0.384429i | 0.488266 | − | 0.872695i | \(-0.337630\pi\) |
−0.872695 | + | 0.488266i | \(0.837630\pi\) | |||||||
\(740\) | 0.230547 | + | 0.357394i | 0.00847508 | + | 0.0131381i | ||||
\(741\) | 13.9378 | − | 24.3121i | 0.512019 | − | 0.893128i | ||||
\(742\) | −9.42082 | + | 2.77495i | −0.345849 | + | 0.101871i | ||||
\(743\) | − | 23.0782i | − | 0.846657i | −0.905976 | − | 0.423328i | \(-0.860862\pi\) | ||
0.905976 | − | 0.423328i | \(-0.139138\pi\) | |||||||
\(744\) | −2.63567 | + | 5.50418i | −0.0966282 | + | 0.201793i | ||||
\(745\) | 2.82449i | 0.103481i | ||||||||
\(746\) | −13.6026 | − | 46.1802i | −0.498026 | − | 1.69078i | ||||
\(747\) | 13.6043 | + | 3.55638i | 0.497756 | + | 0.130121i | ||||
\(748\) | −20.1939 | − | 4.35678i | −0.738361 | − | 0.159300i | ||||
\(749\) | −0.102207 | − | 0.102207i | −0.00373456 | − | 0.00373456i | ||||
\(750\) | −2.38268 | − | 0.568184i | −0.0870032 | − | 0.0207472i | ||||
\(751\) | − | 20.5355i | − | 0.749351i | −0.927156 | − | 0.374675i | \(-0.877754\pi\) | ||
0.927156 | − | 0.374675i | \(-0.122246\pi\) | |||||||
\(752\) | 20.5877 | − | 45.4915i | 0.750756 | − | 1.65890i | ||||
\(753\) | −1.28871 | + | 0.349528i | −0.0469631 | + | 0.0127375i | ||||
\(754\) | −2.59490 | − | 1.41405i | −0.0945006 | − | 0.0514965i | ||||
\(755\) | −10.8412 | + | 10.8412i | −0.394553 | + | 0.394553i | ||||
\(756\) | 3.21835 | + | 4.89019i | 0.117050 | + | 0.177855i | ||||
\(757\) | 30.5550 | + | 30.5550i | 1.11054 | + | 1.11054i | 0.993077 | + | 0.117461i | \(0.0374756\pi\) |
0.117461 | + | 0.993077i | \(0.462524\pi\) | |||||||
\(758\) | −37.9983 | + | 11.1926i | −1.38016 | + | 0.406533i | ||||
\(759\) | −10.8608 | − | 40.0436i | −0.394221 | − | 1.45349i | ||||
\(760\) | −0.849864 | − | 11.4695i | −0.0308278 | − | 0.416041i | ||||
\(761\) | −33.9032 | −1.22899 | −0.614495 | − | 0.788921i | \(-0.710640\pi\) | ||||
−0.614495 | + | 0.788921i | \(0.710640\pi\) | |||||||
\(762\) | 4.25390 | + | 6.91799i | 0.154102 | + | 0.250612i | ||||
\(763\) | −1.36596 | + | 1.36596i | −0.0494509 | + | 0.0494509i | ||||
\(764\) | 1.99596 | + | 3.09414i | 0.0722114 | + | 0.111942i | ||||
\(765\) | 1.40295 | − | 5.36674i | 0.0507238 | − | 0.194035i | ||||
\(766\) | −15.7327 | − | 8.57328i | −0.568447 | − | 0.309765i | ||||
\(767\) | −9.20553 | −0.332392 | ||||||||
\(768\) | 27.1588 | − | 5.51347i | 0.980010 | − | 0.198950i | ||||
\(769\) | 28.2935 | 1.02029 | 0.510145 | − | 0.860088i | \(-0.329592\pi\) | ||||
0.510145 | + | 0.860088i | \(0.329592\pi\) | |||||||
\(770\) | −3.90782 | − | 2.12950i | −0.140828 | − | 0.0767419i | ||||
\(771\) | 14.9279 | + | 8.55794i | 0.537613 | + | 0.308207i | ||||
\(772\) | 20.4438 | + | 31.6920i | 0.735788 | + | 1.14062i | ||||
\(773\) | −32.9604 | + | 32.9604i | −1.18550 | + | 1.18550i | −0.207205 | + | 0.978298i | \(0.566437\pi\) |
−0.978298 | + | 0.207205i | \(0.933563\pi\) | |||||||
\(774\) | 3.87645 | + | 3.64502i | 0.139336 | + | 0.131017i | ||||
\(775\) | 1.24571 | 0.0447471 | ||||||||
\(776\) | −3.38889 | − | 45.7353i | −0.121654 | − | 1.64180i | ||||
\(777\) | −0.200250 | + | 0.0543125i | −0.00718392 | + | 0.00194845i | ||||
\(778\) | 2.37280 | − | 0.698919i | 0.0850690 | − | 0.0250575i | ||||
\(779\) | 20.8407 | + | 20.8407i | 0.746697 | + | 0.746697i | ||||
\(780\) | −0.721412 | − | 13.7650i | −0.0258307 | − | 0.492867i | ||||
\(781\) | 50.1645 | − | 50.1645i | 1.79503 | − | 1.79503i | ||||
\(782\) | 9.84593 | + | 5.36537i | 0.352090 | + | 0.191865i | ||||
\(783\) | −1.94712 | − | 1.91178i | −0.0695846 | − | 0.0683215i | ||||
\(784\) | 11.0212 | − | 24.3529i | 0.393613 | − | 0.869746i | ||||
\(785\) | − | 0.453288i | − | 0.0161786i | ||||||
\(786\) | −7.86827 | + | 32.9956i | −0.280652 | + | 1.17691i | ||||
\(787\) | −4.79088 | − | 4.79088i | −0.170776 | − | 0.170776i | 0.616544 | − | 0.787320i | \(-0.288532\pi\) |
−0.787320 | + | 0.616544i | \(0.788532\pi\) | |||||||
\(788\) | 4.74621 | + | 1.02399i | 0.169077 | + | 0.0364780i | ||||
\(789\) | −6.93443 | − | 3.97542i | −0.246872 | − | 0.141529i | ||||
\(790\) | 5.23057 | + | 17.7575i | 0.186095 | + | 0.631785i | ||||
\(791\) | − | 7.29492i | − | 0.259377i | ||||||
\(792\) | −46.6209 | − | 8.56699i | −1.65660 | − | 0.304415i | ||||
\(793\) | 3.70175i | 0.131453i | ||||||||
\(794\) | −10.8592 | + | 3.19863i | −0.385379 | + | 0.113515i | ||||
\(795\) | 18.5242 | + | 10.6197i | 0.656984 | + | 0.376641i | ||||
\(796\) | −15.3024 | − | 23.7218i | −0.542380 | − | 0.840797i | ||||
\(797\) | 1.19187 | + | 1.19187i | 0.0422181 | + | 0.0422181i | 0.727901 | − | 0.685683i | \(-0.240496\pi\) |
−0.685683 | + | 0.727901i | \(0.740496\pi\) | |||||||
\(798\) | 5.45770 | + | 1.30147i | 0.193200 | + | 0.0460714i | ||||
\(799\) | − | 23.0820i | − | 0.816582i | ||||||
\(800\) | −3.40934 | − | 4.51402i | −0.120538 | − | 0.159595i | ||||
\(801\) | 21.3884 | + | 36.5289i | 0.755722 | + | 1.29069i | ||||
\(802\) | −20.3393 | + | 37.3243i | −0.718204 | + | 1.31797i | ||||
\(803\) | 40.4922 | − | 40.4922i | 1.42894 | − | 1.42894i | ||||
\(804\) | −29.9377 | − | 26.9560i | −1.05582 | − | 0.950664i | ||||
\(805\) | 1.70805 | + | 1.70805i | 0.0602010 | + | 0.0602010i | ||||
\(806\) | 1.98066 | + | 6.72426i | 0.0697659 | + | 0.236852i | ||||
\(807\) | −8.54515 | + | 2.31765i | −0.300803 | + | 0.0815851i | ||||
\(808\) | −33.0907 | − | 28.5251i | −1.16413 | − | 1.00351i | ||||
\(809\) | 32.3957 | 1.13897 | 0.569486 | − | 0.822001i | \(-0.307142\pi\) | ||||
0.569486 | + | 0.822001i | \(0.307142\pi\) | |||||||
\(810\) | 2.83886 | − | 12.4073i | 0.0997475 | − | 0.435948i | ||||
\(811\) | 28.8320 | − | 28.8320i | 1.01243 | − | 1.01243i | 0.0125060 | − | 0.999922i | \(-0.496019\pi\) |
0.999922 | − | 0.0125060i | \(-0.00398088\pi\) | |||||||
\(812\) | 0.124778 | − | 0.578353i | 0.00437886 | − | 0.0202962i | ||||
\(813\) | 6.62326 | + | 3.79703i | 0.232288 | + | 0.133168i | ||||
\(814\) | 0.803878 | − | 1.47519i | 0.0281759 | − | 0.0517053i | ||||
\(815\) | −16.7285 | −0.585974 | ||||||||
\(816\) | 10.3868 | − | 7.49814i | 0.363610 | − | 0.262487i | ||||
\(817\) | 5.09969 | 0.178416 | ||||||||
\(818\) | 19.9463 | − | 36.6032i | 0.697405 | − | 1.27980i | ||||
\(819\) | 6.50586 | + | 1.70074i | 0.227333 | + | 0.0594285i | ||||
\(820\) | 14.1707 | + | 3.05730i | 0.494862 | + | 0.106765i | ||||
\(821\) | 11.4197 | − | 11.4197i | 0.398551 | − | 0.398551i | −0.479170 | − | 0.877722i | \(-0.659062\pi\) |
0.877722 | + | 0.479170i | \(0.159062\pi\) | |||||||
\(822\) | −18.8656 | + | 11.6005i | −0.658014 | + | 0.404615i | ||||
\(823\) | −21.8579 | −0.761919 | −0.380960 | − | 0.924592i | \(-0.624406\pi\) | ||||
−0.380960 | + | 0.924592i | \(0.624406\pi\) | |||||||
\(824\) | −3.31917 | − | 44.7943i | −0.115629 | − | 1.56048i | ||||
\(825\) | 2.53280 | + | 9.33840i | 0.0881807 | + | 0.325121i | ||||
\(826\) | −0.520760 | − | 1.76796i | −0.0181195 | − | 0.0615150i | ||||
\(827\) | −18.0378 | − | 18.0378i | −0.627236 | − | 0.627236i | 0.320136 | − | 0.947372i | \(-0.396272\pi\) |
−0.947372 | + | 0.320136i | \(0.896272\pi\) | |||||||
\(828\) | 22.9597 | + | 11.6103i | 0.797904 | + | 0.403488i | ||||
\(829\) | −14.4922 | + | 14.4922i | −0.503335 | + | 0.503335i | −0.912473 | − | 0.409138i | \(-0.865830\pi\) |
0.409138 | + | 0.912473i | \(0.365830\pi\) | |||||||
\(830\) | 3.17180 | − | 5.82053i | 0.110095 | − | 0.202034i | ||||
\(831\) | 17.7055 | − | 4.80215i | 0.614196 | − | 0.166585i | ||||
\(832\) | 18.9457 | − | 25.5807i | 0.656823 | − | 0.886852i | ||||
\(833\) | − | 12.3564i | − | 0.428125i | ||||||
\(834\) | −5.20481 | + | 21.8264i | −0.180228 | + | 0.755786i | ||||
\(835\) | 6.87597 | + | 6.87597i | 0.237953 | + | 0.237953i | ||||
\(836\) | −38.1761 | + | 24.6266i | −1.32035 | + | 0.851728i | ||||
\(837\) | 0.0592793 | + | 6.47260i | 0.00204899 | + | 0.223726i | ||||
\(838\) | −6.88436 | + | 2.02782i | −0.237816 | + | 0.0700499i | ||||
\(839\) | 17.7483i | 0.612739i | 0.951913 | + | 0.306369i | \(0.0991143\pi\) | ||||
−0.951913 | + | 0.306369i | \(0.900886\pi\) | |||||||
\(840\) | 2.60281 | − | 0.917241i | 0.0898055 | − | 0.0316478i | ||||
\(841\) | − | 28.7242i | − | 0.990490i | ||||||
\(842\) | 15.1832 | + | 51.5462i | 0.523247 | + | 1.77640i | ||||
\(843\) | −19.0646 | + | 33.2549i | −0.656620 | + | 1.14536i | ||||
\(844\) | 0.0415994 | − | 0.192815i | 0.00143191 | − | 0.00663696i | ||||
\(845\) | −2.00323 | − | 2.00323i | −0.0689133 | − | 0.0689133i | ||||
\(846\) | −1.62885 | − | 52.9372i | −0.0560009 | − | 1.82002i | ||||
\(847\) | 11.3830i | 0.391125i | ||||||||
\(848\) | 17.3902 | + | 46.1429i | 0.597183 | + | 1.58455i | ||||
\(849\) | −8.51354 | − | 31.3894i | −0.292184 | − | 1.07728i | ||||
\(850\) | −2.29613 | − | 1.25124i | −0.0787566 | − | 0.0429171i | ||||
\(851\) | −0.644783 | + | 0.644783i | −0.0221029 | + | 0.0221029i | ||||
\(852\) | 2.30244 | + | 43.9320i | 0.0788802 | + | 1.50509i | ||||
\(853\) | −1.65838 | − | 1.65838i | −0.0567818 | − | 0.0567818i | 0.678146 | − | 0.734927i | \(-0.262784\pi\) |
−0.734927 | + | 0.678146i | \(0.762784\pi\) | |||||||
\(854\) | −0.710935 | + | 0.209409i | −0.0243277 | + | 0.00716583i | ||||
\(855\) | −6.16367 | − | 10.5268i | −0.210793 | − | 0.360010i | ||||
\(856\) | −0.473855 | + | 0.549698i | −0.0161960 | + | 0.0187883i | ||||
\(857\) | 9.06031 | 0.309494 | 0.154747 | − | 0.987954i | \(-0.450544\pi\) | ||||
0.154747 | + | 0.987954i | \(0.450544\pi\) | |||||||
\(858\) | −46.3811 | + | 28.5199i | −1.58343 | + | 0.973654i | ||||
\(859\) | 13.5598 | − | 13.5598i | 0.462656 | − | 0.462656i | −0.436869 | − | 0.899525i | \(-0.643913\pi\) |
0.899525 | + | 0.436869i | \(0.143913\pi\) | |||||||
\(860\) | 2.10783 | − | 1.35971i | 0.0718764 | − | 0.0463659i | ||||
\(861\) | −3.51741 | + | 6.13552i | −0.119873 | + | 0.209098i | ||||
\(862\) | −6.83575 | − | 3.72503i | −0.232827 | − | 0.126875i | ||||
\(863\) | −13.9970 | −0.476464 | −0.238232 | − | 0.971208i | \(-0.576568\pi\) | ||||
−0.238232 | + | 0.971208i | \(0.576568\pi\) | |||||||
\(864\) | 23.2923 | − | 17.9295i | 0.792421 | − | 0.609974i | ||||
\(865\) | 1.77511 | 0.0603555 | ||||||||
\(866\) | 15.0252 | + | 8.18770i | 0.510576 | + | 0.278229i | ||||
\(867\) | −11.6993 | + | 20.4075i | −0.397330 | + | 0.693074i | ||||
\(868\) | −1.17937 | + | 0.760787i | −0.0400305 | + | 0.0258228i | ||||
\(869\) | 51.7065 | − | 51.7065i | 1.75402 | − | 1.75402i | ||||
\(870\) | −1.09577 | + | 0.673793i | −0.0371501 | + | 0.0228437i | ||||
\(871\) | −46.2739 | −1.56793 | ||||||||
\(872\) | 7.34649 | + | 6.33288i | 0.248784 | + | 0.214458i | ||||
\(873\) | −24.5780 | − | 41.9764i | −0.831841 | − | 1.42069i | ||||
\(874\) | 23.6535 | − | 6.96725i | 0.800091 | − | 0.235671i | ||||
\(875\) | −0.398329 | − | 0.398329i | −0.0134660 | − | 0.0134660i | ||||
\(876\) | 1.85850 | + | 35.4614i | 0.0627930 | + | 1.19813i | ||||
\(877\) | 34.4386 | − | 34.4386i | 1.16291 | − | 1.16291i | 0.179074 | − | 0.983836i | \(-0.442690\pi\) |
0.983836 | − | 0.179074i | \(-0.0573100\pi\) | |||||||
\(878\) | −39.0203 | − | 21.2634i | −1.31687 | − | 0.717606i | ||||
\(879\) | −10.3613 | − | 38.2022i | −0.349479 | − | 1.28853i | ||||
\(880\) | −9.21305 | + | 20.3576i | −0.310572 | + | 0.686254i | ||||
\(881\) | 17.0679i | 0.575031i | 0.957776 | + | 0.287516i | \(0.0928293\pi\) | ||||
−0.957776 | + | 0.287516i | \(0.907171\pi\) | |||||||
\(882\) | −0.871968 | − | 28.3388i | −0.0293607 | − | 0.954215i | ||||
\(883\) | 13.8084 | + | 13.8084i | 0.464690 | + | 0.464690i | 0.900189 | − | 0.435499i | \(-0.143428\pi\) |
−0.435499 | + | 0.900189i | \(0.643428\pi\) | |||||||
\(884\) | 3.10329 | − | 14.3839i | 0.104375 | − | 0.483782i | ||||
\(885\) | −1.99294 | + | 3.47633i | −0.0669918 | + | 0.116856i | ||||
\(886\) | 2.02830 | + | 6.88599i | 0.0681421 | + | 0.231339i | ||||
\(887\) | − | 1.71376i | − | 0.0575425i | −0.999586 | − | 0.0287712i | \(-0.990841\pi\) | ||
0.999586 | − | 0.0287712i | \(-0.00915944\pi\) | |||||||
\(888\) | 0.346255 | + | 0.982550i | 0.0116195 | + | 0.0329722i | ||||
\(889\) | 1.86768i | 0.0626399i | ||||||||
\(890\) | 19.1414 | − | 5.63819i | 0.641622 | − | 0.188993i | ||||
\(891\) | −48.4012 | + | 13.6046i | −1.62150 | + | 0.455772i | ||||
\(892\) | 43.3840 | − | 27.9861i | 1.45260 | − | 0.937043i | ||||
\(893\) | −35.8924 | − | 35.8924i | −1.20109 | − | 1.20109i | ||||
\(894\) | −1.60483 | + | 6.72986i | −0.0536736 | + | 0.225080i | ||||
\(895\) | − | 11.2311i | − | 0.375415i | ||||||
\(896\) | 5.98463 | + | 2.19148i | 0.199933 | + | 0.0732121i | ||||
\(897\) | 28.5226 | − | 7.73600i | 0.952341 | − | 0.258298i | ||||
\(898\) | −15.1016 | + | 27.7128i | −0.503947 | + | 0.924788i | ||||
\(899\) | 0.462579 | − | 0.462579i | 0.0154279 | − | 0.0154279i | ||||
\(900\) | −5.35433 | − | 2.70760i | −0.178478 | − | 0.0902534i | ||||
\(901\) | 16.1181 | + | 16.1181i | 0.536971 | + | 0.536971i | ||||
\(902\) | −16.1800 | − | 54.9305i | −0.538737 | − | 1.82899i | ||||
\(903\) | 0.320323 | + | 1.18103i | 0.0106597 | + | 0.0393021i | ||||
\(904\) | −36.5275 | + | 2.70661i | −1.21489 | + | 0.0900205i | ||||
\(905\) | −11.5286 | −0.383225 | ||||||||
\(906\) | −31.9910 | + | 19.6714i | −1.06283 | + | 0.653538i | ||||
\(907\) | −22.7653 | + | 22.7653i | −0.755908 | + | 0.755908i | −0.975575 | − | 0.219667i | \(-0.929503\pi\) |
0.219667 | + | 0.975575i | \(0.429503\pi\) | |||||||
\(908\) | −16.4759 | − | 3.55463i | −0.546771 | − | 0.117965i | ||||
\(909\) | −44.8320 | − | 11.7198i | −1.48698 | − | 0.388721i | ||||
\(910\) | 1.51682 | − | 2.78350i | 0.0502821 | − | 0.0922721i | ||||
\(911\) | −16.6383 | −0.551251 | −0.275626 | − | 0.961265i | \(-0.588885\pi\) | ||||
−0.275626 | + | 0.961265i | \(0.588885\pi\) | |||||||
\(912\) | 4.49182 | − | 27.8110i | 0.148739 | − | 0.920913i | ||||
\(913\) | −26.1839 | −0.866562 | ||||||||
\(914\) | −15.1951 | + | 27.8843i | −0.502609 | + | 0.922332i | ||||
\(915\) | 1.39791 | + | 0.801404i | 0.0462135 | + | 0.0264936i | ||||
\(916\) | 3.98475 | − | 18.4695i | 0.131660 | − | 0.610249i | ||||
\(917\) | −5.51609 | + | 5.51609i | −0.182157 | + | 0.182157i | ||||
\(918\) | 6.39208 | − | 11.9901i | 0.210970 | − | 0.395732i | ||||
\(919\) | −44.9016 | −1.48117 | −0.740584 | − | 0.671964i | \(-0.765451\pi\) | ||||
−0.740584 | + | 0.671964i | \(0.765451\pi\) | |||||||
\(920\) | 7.91893 | − | 9.18640i | 0.261079 | − | 0.302866i | ||||
\(921\) | −34.0501 | + | 9.23520i | −1.12199 | + | 0.304310i | ||||
\(922\) | −11.9544 | − | 40.5845i | −0.393696 | − | 1.33658i | ||||
\(923\) | 35.7316 | + | 35.7316i | 1.17612 | + | 1.17612i | ||||
\(924\) | −8.10115 | − | 7.29429i | −0.266508 | − | 0.239964i | ||||
\(925\) | 0.150367 | − | 0.150367i | 0.00494405 | − | 0.00494405i | ||||
\(926\) | −1.44870 | + | 2.65850i | −0.0476074 | + | 0.0873637i | ||||
\(927\) | −24.0724 | − | 41.1128i | −0.790640 | − | 1.35032i | ||||
\(928\) | −2.94225 | − | 0.410213i | −0.0965842 | − | 0.0134659i | ||||
\(929\) | 19.2949i | 0.633046i | 0.948585 | + | 0.316523i | \(0.102516\pi\) | ||||
−0.948585 | + | 0.316523i | \(0.897484\pi\) | |||||||
\(930\) | 2.96812 | + | 0.707790i | 0.0973284 | + | 0.0232094i | ||||
\(931\) | −19.2142 | − | 19.2142i | −0.629720 | − | 0.629720i | ||||
\(932\) | 29.3850 | + | 45.5527i | 0.962539 | + | 1.49213i | ||||
\(933\) | −16.2603 | − | 9.32182i | −0.532338 | − | 0.305183i | ||||
\(934\) | 11.9921 | − | 3.53233i | 0.392394 | − | 0.115582i | ||||
\(935\) | 10.3293i | 0.337803i | ||||||||
\(936\) | 6.10217 | − | 33.2075i | 0.199456 | − | 1.08542i | ||||
\(937\) | − | 15.9035i | − | 0.519545i | −0.965670 | − | 0.259772i | \(-0.916353\pi\) | ||
0.965670 | − | 0.259772i | \(-0.0836475\pi\) | |||||||
\(938\) | −2.61773 | − | 8.88707i | −0.0854718 | − | 0.290173i | ||||
\(939\) | 18.8702 | + | 10.8181i | 0.615807 | + | 0.353034i | ||||
\(940\) | −24.4051 | − | 5.26535i | −0.796006 | − | 0.171737i | ||||
\(941\) | −23.7121 | − | 23.7121i | −0.772993 | − | 0.772993i | 0.205635 | − | 0.978629i | \(-0.434074\pi\) |
−0.978629 | + | 0.205635i | \(0.934074\pi\) | |||||||
\(942\) | 0.257551 | − | 1.08004i | 0.00839148 | − | 0.0351897i | ||||
\(943\) | 31.0814i | 1.01215i | ||||||||
\(944\) | −8.65938 | + | 3.26353i | −0.281839 | + | 0.106219i | ||||
\(945\) | 2.05073 | − | 2.08864i | 0.0667104 | − | 0.0679436i | ||||
\(946\) | −8.70032 | − | 4.74109i | −0.282872 | − | 0.154146i | ||||
\(947\) | −1.00185 | + | 1.00185i | −0.0325558 | + | 0.0325558i | −0.723197 | − | 0.690642i | \(-0.757328\pi\) |
0.690642 | + | 0.723197i | \(0.257328\pi\) | |||||||
\(948\) | 2.37321 | + | 45.2825i | 0.0770784 | + | 1.47071i | ||||
\(949\) | 28.8421 | + | 28.8421i | 0.936256 | + | 0.936256i | ||||
\(950\) | −5.51614 | + | 1.62480i | −0.178967 | + | 0.0527156i | ||||
\(951\) | −2.17007 | + | 0.588574i | −0.0703692 | + | 0.0190858i | ||||
\(952\) | 2.93803 | − | 0.217702i | 0.0952220 | − | 0.00705575i | ||||
\(953\) | 10.9149 | 0.353567 | 0.176784 | − | 0.984250i | \(-0.443431\pi\) | ||||
0.176784 | + | 0.984250i | \(0.443431\pi\) | |||||||
\(954\) | 38.1032 | + | 35.8284i | 1.23364 | + | 1.15999i | ||||
\(955\) | 1.30181 | − | 1.30181i | 0.0421254 | − | 0.0421254i | ||||
\(956\) | 12.6341 | + | 19.5854i | 0.408617 | + | 0.633438i | ||||
\(957\) | 4.40824 | + | 2.52719i | 0.142498 | + | 0.0816924i | ||||
\(958\) | −38.4923 | − | 20.9757i | −1.24363 | − | 0.677695i | ||||
\(959\) | −5.09323 | −0.164469 | ||||||||
\(960\) | −5.55857 | − | 12.6926i | −0.179402 | − | 0.409652i | ||||
\(961\) | 29.4482 | 0.949943 | ||||||||
\(962\) | 1.05076 | + | 0.572593i | 0.0338778 | + | 0.0184611i | ||||
\(963\) | −0.194688 | + | 0.744743i | −0.00627372 | + | 0.0239990i | ||||
\(964\) | 5.82309 | + | 9.02695i | 0.187549 | + | 0.290739i | ||||
\(965\) | 13.3338 | − | 13.3338i | 0.429231 | − | 0.429231i | ||||
\(966\) | 3.09926 | + | 5.04024i | 0.0997170 | + | 0.162167i | ||||
\(967\) | −21.2688 | −0.683958 | −0.341979 | − | 0.939708i | \(-0.611097\pi\) | ||||
−0.341979 | + | 0.939708i | \(0.611097\pi\) | |||||||
\(968\) | 56.9976 | − | 4.22340i | 1.83197 | − | 0.135745i | ||||
\(969\) | −3.40883 | − | 12.5683i | −0.109507 | − | 0.403753i | ||||
\(970\) | −21.9960 | + | 6.47902i | −0.706248 | + | 0.208029i | ||||
\(971\) | 16.7603 | + | 16.7603i | 0.537865 | + | 0.537865i | 0.922901 | − | 0.385037i | \(-0.125811\pi\) |
−0.385037 | + | 0.922901i | \(0.625811\pi\) | |||||||
\(972\) | 13.8137 | − | 27.9496i | 0.443076 | − | 0.896484i | ||||
\(973\) | −3.64886 | + | 3.64886i | −0.116977 | + | 0.116977i | ||||
\(974\) | 29.5943 | + | 16.1269i | 0.948263 | + | 0.516739i | ||||
\(975\) | −6.65164 | + | 1.80408i | −0.213023 | + | 0.0577769i | ||||
\(976\) | 1.31234 | + | 3.48213i | 0.0420070 | + | 0.111460i | ||||
\(977\) | − | 47.4863i | − | 1.51922i | −0.650378 | − | 0.759611i | \(-0.725389\pi\) | ||
0.650378 | − | 0.759611i | \(-0.274611\pi\) | |||||||
\(978\) | −39.8587 | − | 9.50487i | −1.27454 | − | 0.303932i | ||||
\(979\) | −55.7361 | − | 55.7361i | −1.78133 | − | 1.78133i | ||||
\(980\) | −13.0647 | − | 2.81869i | −0.417338 | − | 0.0900397i | ||||
\(981\) | 9.95318 | + | 2.60192i | 0.317781 | + | 0.0830729i | ||||
\(982\) | −5.97067 | − | 20.2701i | −0.190532 | − | 0.646846i | ||||
\(983\) | − | 57.1239i | − | 1.82197i | −0.412442 | − | 0.910984i | \(-0.635324\pi\) | ||
0.412442 | − | 0.910984i | \(-0.364676\pi\) | |||||||
\(984\) | 32.0271 | + | 15.3361i | 1.02099 | + | 0.488898i | ||||
\(985\) | − | 2.42771i | − | 0.0773533i | ||||||
\(986\) | −1.31728 | + | 0.388010i | −0.0419506 | + | 0.0123567i | ||||
\(987\) | 6.05777 | − | 10.5667i | 0.192821 | − | 0.336343i | ||||
\(988\) | −17.5412 | − | 27.1924i | −0.558061 | − | 0.865107i | ||||
\(989\) | 3.80279 | + | 3.80279i | 0.120922 | + | 0.120922i | ||||
\(990\) | 0.728913 | + | 23.6895i | 0.0231664 | + | 0.752902i | ||||
\(991\) | 25.2736i | 0.802843i | 0.915893 | + | 0.401421i | \(0.131484\pi\) | ||||
−0.915893 | + | 0.401421i | \(0.868516\pi\) | |||||||
\(992\) | 4.24703 | + | 5.62314i | 0.134843 | + | 0.178535i | ||||
\(993\) | 11.0635 | + | 40.7910i | 0.351089 | + | 1.29446i | ||||
\(994\) | −4.84104 | + | 8.88373i | −0.153548 | + | 0.281775i | ||||
\(995\) | −9.98053 | + | 9.98053i | −0.316404 | + | 0.316404i | ||||
\(996\) | 10.8645 | − | 12.0663i | 0.344255 | − | 0.382335i | ||||
\(997\) | 29.8735 | + | 29.8735i | 0.946103 | + | 0.946103i | 0.998620 | − | 0.0525166i | \(-0.0167242\pi\) |
−0.0525166 | + | 0.998620i | \(0.516724\pi\) | |||||||
\(998\) | −3.19402 | − | 10.8435i | −0.101105 | − | 0.343246i | ||||
\(999\) | 0.788455 | + | 0.774143i | 0.0249456 | + | 0.0244928i |
(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 | 240.2.bk.b.11.4 | ✓ | 60 | |
3.2 | odd | 2 | inner | 240.2.bk.b.11.27 | yes | 60 | |
4.3 | odd | 2 | 960.2.bk.b.911.21 | 60 | |||
12.11 | even | 2 | 960.2.bk.b.911.5 | 60 | |||
16.3 | odd | 4 | inner | 240.2.bk.b.131.27 | yes | 60 | |
16.13 | even | 4 | 960.2.bk.b.431.5 | 60 | |||
48.29 | odd | 4 | 960.2.bk.b.431.21 | 60 | |||
48.35 | even | 4 | inner | 240.2.bk.b.131.4 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
240.2.bk.b.11.4 | ✓ | 60 | 1.1 | even | 1 | trivial | |
240.2.bk.b.11.27 | yes | 60 | 3.2 | odd | 2 | inner | |
240.2.bk.b.131.4 | yes | 60 | 48.35 | even | 4 | inner | |
240.2.bk.b.131.27 | yes | 60 | 16.3 | odd | 4 | inner | |
960.2.bk.b.431.5 | 60 | 16.13 | even | 4 | |||
960.2.bk.b.431.21 | 60 | 48.29 | odd | 4 | |||
960.2.bk.b.911.5 | 60 | 12.11 | even | 2 | |||
960.2.bk.b.911.21 | 60 | 4.3 | odd | 2 |