Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(131,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bj (of order \(6\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 171.2 | ||
Character | \(\chi\) | \(=\) | 280.171 |
Dual form | 280.2.bj.f.131.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33674 | + | 0.461647i | −0.945220 | + | 0.326433i | ||||
\(3\) | 1.90624 | + | 1.10057i | 1.10057 | + | 0.635414i | 0.936370 | − | 0.351014i | \(-0.114163\pi\) |
0.164198 | + | 0.986427i | \(0.447496\pi\) | |||||||
\(4\) | 1.57376 | − | 1.23421i | 0.786882 | − | 0.617103i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | −3.05623 | − | 0.591168i | −1.24770 | − | 0.241343i | ||||
\(7\) | −0.584379 | + | 2.58041i | −0.220874 | + | 0.975302i | ||||
\(8\) | −1.53395 | + | 2.37634i | −0.542334 | + | 0.840163i | ||||
\(9\) | 0.922503 | + | 1.59782i | 0.307501 | + | 0.532608i | ||||
\(10\) | 1.06817 | + | 0.926830i | 0.337785 | + | 0.293089i | ||||
\(11\) | −2.90486 | + | 5.03137i | −0.875849 | + | 1.51701i | −0.0199929 | + | 0.999800i | \(0.506364\pi\) |
−0.855856 | + | 0.517214i | \(0.826969\pi\) | |||||||
\(12\) | 4.35830 | − | 0.620657i | 1.25813 | − | 0.179168i | ||||
\(13\) | 4.83332 | 1.34052 | 0.670260 | − | 0.742126i | \(-0.266182\pi\) | ||||
0.670260 | + | 0.742126i | \(0.266182\pi\) | |||||||
\(14\) | −0.410072 | − | 3.71912i | −0.109596 | − | 0.993976i | ||||
\(15\) | − | 2.20114i | − | 0.568331i | ||||||
\(16\) | 0.953472 | − | 3.88470i | 0.238368 | − | 0.971175i | ||||
\(17\) | 3.78236 | + | 2.18375i | 0.917357 | + | 0.529636i | 0.882791 | − | 0.469766i | \(-0.155662\pi\) |
0.0345662 | + | 0.999402i | \(0.488995\pi\) | |||||||
\(18\) | −1.97078 | − | 1.71001i | −0.464517 | − | 0.403053i | ||||
\(19\) | 1.63783 | − | 0.945600i | 0.375743 | − | 0.216936i | −0.300221 | − | 0.953870i | \(-0.597061\pi\) |
0.675965 | + | 0.736934i | \(0.263727\pi\) | |||||||
\(20\) | −1.85574 | − | 0.745818i | −0.414955 | − | 0.166770i | ||||
\(21\) | −3.95388 | + | 4.27573i | −0.862808 | + | 0.933041i | ||||
\(22\) | 1.56034 | − | 8.06667i | 0.332666 | − | 1.71982i | ||||
\(23\) | 0.157820 | − | 0.0911173i | 0.0329077 | − | 0.0189993i | −0.483456 | − | 0.875369i | \(-0.660619\pi\) |
0.516364 | + | 0.856369i | \(0.327285\pi\) | |||||||
\(24\) | −5.53941 | + | 2.84166i | −1.13073 | + | 0.580050i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −6.46090 | + | 2.23128i | −1.26709 | + | 0.437591i | ||||
\(27\) | − | 2.54230i | − | 0.489266i | ||||||
\(28\) | 2.26508 | + | 4.78220i | 0.428060 | + | 0.903750i | ||||
\(29\) | − | 4.38898i | − | 0.815013i | −0.913202 | − | 0.407506i | \(-0.866398\pi\) | ||
0.913202 | − | 0.407506i | \(-0.133602\pi\) | |||||||
\(30\) | 1.01615 | + | 2.94236i | 0.185522 | + | 0.537198i | ||||
\(31\) | −2.03983 | + | 3.53308i | −0.366364 | + | 0.634560i | −0.988994 | − | 0.147956i | \(-0.952731\pi\) |
0.622630 | + | 0.782516i | \(0.286064\pi\) | |||||||
\(32\) | 0.518810 | + | 5.63301i | 0.0917136 | + | 0.995785i | ||||
\(33\) | −11.0747 | + | 6.39400i | −1.92786 | + | 1.11305i | ||||
\(34\) | −6.06416 | − | 1.17300i | −1.04000 | − | 0.201167i | ||||
\(35\) | 2.52689 | − | 0.784117i | 0.427122 | − | 0.132540i | ||||
\(36\) | 3.42385 | + | 1.37604i | 0.570641 | + | 0.229340i | ||||
\(37\) | 3.69132 | − | 2.13119i | 0.606849 | − | 0.350365i | −0.164882 | − | 0.986313i | \(-0.552724\pi\) |
0.771731 | + | 0.635949i | \(0.219391\pi\) | |||||||
\(38\) | −1.75282 | + | 2.02012i | −0.284345 | + | 0.327707i | ||||
\(39\) | 9.21347 | + | 5.31940i | 1.47534 | + | 0.851785i | ||||
\(40\) | 2.82495 | + | 0.140272i | 0.446663 | + | 0.0221790i | ||||
\(41\) | − | 3.44314i | − | 0.537729i | −0.963178 | − | 0.268864i | \(-0.913352\pi\) | ||
0.963178 | − | 0.268864i | \(-0.0866483\pi\) | |||||||
\(42\) | 3.31145 | − | 7.54085i | 0.510968 | − | 1.16358i | ||||
\(43\) | −2.10796 | −0.321461 | −0.160731 | − | 0.986998i | \(-0.551385\pi\) | ||||
−0.160731 | + | 0.986998i | \(0.551385\pi\) | |||||||
\(44\) | 1.63817 | + | 11.5034i | 0.246964 | + | 1.73420i | ||||
\(45\) | 0.922503 | − | 1.59782i | 0.137519 | − | 0.238189i | ||||
\(46\) | −0.168901 | + | 0.194657i | −0.0249030 | + | 0.0287007i | ||||
\(47\) | 0.946816 | + | 1.63993i | 0.138107 | + | 0.239209i | 0.926780 | − | 0.375604i | \(-0.122565\pi\) |
−0.788673 | + | 0.614813i | \(0.789231\pi\) | |||||||
\(48\) | 6.09293 | − | 6.35581i | 0.879438 | − | 0.917382i | ||||
\(49\) | −6.31700 | − | 3.01587i | −0.902429 | − | 0.430839i | ||||
\(50\) | 0.268574 | − | 1.38848i | 0.0379821 | − | 0.196360i | ||||
\(51\) | 4.80673 | + | 8.32550i | 0.673076 | + | 1.16580i | ||||
\(52\) | 7.60650 | − | 5.96531i | 1.05483 | − | 0.827239i | ||||
\(53\) | −8.54212 | − | 4.93180i | −1.17335 | − | 0.677434i | −0.218884 | − | 0.975751i | \(-0.570242\pi\) |
−0.954467 | + | 0.298317i | \(0.903575\pi\) | |||||||
\(54\) | 1.17364 | + | 3.39840i | 0.159713 | + | 0.462464i | ||||
\(55\) | 5.80972 | 0.783383 | ||||||||
\(56\) | −5.23551 | − | 5.34691i | −0.699625 | − | 0.714510i | ||||
\(57\) | 4.16279 | 0.551375 | ||||||||
\(58\) | 2.02616 | + | 5.86693i | 0.266047 | + | 0.770366i | ||||
\(59\) | −6.35546 | − | 3.66932i | −0.827410 | − | 0.477705i | 0.0255550 | − | 0.999673i | \(-0.491865\pi\) |
−0.852965 | + | 0.521968i | \(0.825198\pi\) | |||||||
\(60\) | −2.71666 | − | 3.46407i | −0.350719 | − | 0.447210i | ||||
\(61\) | −4.89522 | − | 8.47877i | −0.626769 | − | 1.08560i | −0.988196 | − | 0.153195i | \(-0.951044\pi\) |
0.361427 | − | 0.932400i | \(-0.382290\pi\) | |||||||
\(62\) | 1.09569 | − | 5.66450i | 0.139153 | − | 0.719393i | ||||
\(63\) | −4.66212 | + | 1.44670i | −0.587373 | + | 0.182267i | ||||
\(64\) | −3.29398 | − | 7.29039i | −0.411747 | − | 0.911298i | ||||
\(65\) | −2.41666 | − | 4.18577i | −0.299750 | − | 0.519181i | ||||
\(66\) | 11.8523 | − | 13.6597i | 1.45892 | − | 1.68140i | ||||
\(67\) | 6.04954 | − | 10.4781i | 0.739069 | − | 1.28011i | −0.213845 | − | 0.976868i | \(-0.568599\pi\) |
0.952915 | − | 0.303238i | \(-0.0980678\pi\) | |||||||
\(68\) | 8.64774 | − | 1.23151i | 1.04869 | − | 0.149342i | ||||
\(69\) | 0.401124 | 0.0482896 | ||||||||
\(70\) | −3.01582 | + | 2.21469i | −0.360459 | + | 0.264706i | ||||
\(71\) | 8.80669i | 1.04516i | 0.852590 | + | 0.522581i | \(0.175031\pi\) | ||||
−0.852590 | + | 0.522581i | \(0.824969\pi\) | |||||||
\(72\) | −5.21205 | − | 0.258804i | −0.614246 | − | 0.0305003i | ||||
\(73\) | 7.34998 | + | 4.24351i | 0.860250 | + | 0.496666i | 0.864096 | − | 0.503327i | \(-0.167891\pi\) |
−0.00384586 | + | 0.999993i | \(0.501224\pi\) | |||||||
\(74\) | −3.95049 | + | 4.55293i | −0.459236 | + | 0.529268i | ||||
\(75\) | −1.90624 | + | 1.10057i | −0.220114 | + | 0.127083i | ||||
\(76\) | 1.41049 | − | 3.50957i | 0.161794 | − | 0.402575i | ||||
\(77\) | −11.2854 | − | 10.4360i | −1.28610 | − | 1.18929i | ||||
\(78\) | −14.7717 | − | 2.85730i | −1.67257 | − | 0.323526i | ||||
\(79\) | 10.5541 | − | 6.09342i | 1.18743 | − | 0.685563i | 0.229708 | − | 0.973259i | \(-0.426223\pi\) |
0.957722 | + | 0.287696i | \(0.0928894\pi\) | |||||||
\(80\) | −3.84098 | + | 1.11662i | −0.429435 | + | 0.124842i | ||||
\(81\) | 5.56549 | − | 9.63970i | 0.618387 | − | 1.07108i | ||||
\(82\) | 1.58952 | + | 4.60260i | 0.175533 | + | 0.508272i | ||||
\(83\) | − | 16.9697i | − | 1.86267i | −0.364163 | − | 0.931335i | \(-0.618645\pi\) | ||
0.364163 | − | 0.931335i | \(-0.381355\pi\) | |||||||
\(84\) | −0.945352 | + | 11.6089i | −0.103146 | + | 1.26663i | ||||
\(85\) | − | 4.36749i | − | 0.473721i | ||||||
\(86\) | 2.81781 | − | 0.973134i | 0.303852 | − | 0.104936i | ||||
\(87\) | 4.83037 | − | 8.36645i | 0.517870 | − | 0.896977i | ||||
\(88\) | −7.50032 | − | 14.6208i | −0.799536 | − | 1.55858i | ||||
\(89\) | −5.11692 | + | 2.95425i | −0.542392 | + | 0.313150i | −0.746048 | − | 0.665892i | \(-0.768051\pi\) |
0.203656 | + | 0.979043i | \(0.434718\pi\) | |||||||
\(90\) | −0.495521 | + | 2.56175i | −0.0522325 | + | 0.270032i | ||||
\(91\) | −2.82449 | + | 12.4719i | −0.296087 | + | 1.30741i | ||||
\(92\) | 0.135914 | − | 0.338179i | 0.0141700 | − | 0.0352576i | ||||
\(93\) | −7.77680 | + | 4.48994i | −0.806417 | + | 0.465585i | ||||
\(94\) | −2.02272 | − | 1.75507i | −0.208627 | − | 0.181022i | ||||
\(95\) | −1.63783 | − | 0.945600i | −0.168038 | − | 0.0970165i | ||||
\(96\) | −5.21054 | + | 11.3089i | −0.531799 | + | 1.15421i | ||||
\(97\) | 13.2388i | 1.34420i | 0.740461 | + | 0.672100i | \(0.234607\pi\) | ||||
−0.740461 | + | 0.672100i | \(0.765393\pi\) | |||||||
\(98\) | 9.83648 | + | 1.11522i | 0.993634 | + | 0.112654i | ||||
\(99\) | −10.7190 | −1.07730 | ||||||||
\(100\) | 0.281971 | + | 1.98002i | 0.0281971 | + | 0.198002i | ||||
\(101\) | −1.23442 | + | 2.13807i | −0.122829 | + | 0.212746i | −0.920882 | − | 0.389841i | \(-0.872530\pi\) |
0.798053 | + | 0.602587i | \(0.205863\pi\) | |||||||
\(102\) | −10.2688 | − | 8.91004i | −1.01676 | − | 0.882226i | ||||
\(103\) | 0.920346 | + | 1.59409i | 0.0906844 | + | 0.157070i | 0.907799 | − | 0.419405i | \(-0.137761\pi\) |
−0.817115 | + | 0.576475i | \(0.804428\pi\) | |||||||
\(104\) | −7.41408 | + | 11.4856i | −0.727010 | + | 1.12626i | ||||
\(105\) | 5.67983 | + | 1.28630i | 0.554295 | + | 0.125530i | ||||
\(106\) | 13.6954 | + | 2.64910i | 1.33021 | + | 0.257304i | ||||
\(107\) | 9.08674 | + | 15.7387i | 0.878448 | + | 1.52152i | 0.853044 | + | 0.521839i | \(0.174754\pi\) |
0.0254044 | + | 0.999677i | \(0.491913\pi\) | |||||||
\(108\) | −3.13772 | − | 4.00098i | −0.301927 | − | 0.384995i | ||||
\(109\) | 3.40525 | + | 1.96602i | 0.326164 | + | 0.188311i | 0.654137 | − | 0.756376i | \(-0.273032\pi\) |
−0.327973 | + | 0.944687i | \(0.606365\pi\) | |||||||
\(110\) | −7.76611 | + | 2.68204i | −0.740469 | + | 0.255722i | ||||
\(111\) | 9.38206 | 0.890506 | ||||||||
\(112\) | 9.46692 | + | 4.73048i | 0.894540 | + | 0.446989i | ||||
\(113\) | 7.16641 | 0.674159 | 0.337079 | − | 0.941476i | \(-0.390561\pi\) | ||||
0.337079 | + | 0.941476i | \(0.390561\pi\) | |||||||
\(114\) | −5.56458 | + | 1.92174i | −0.521171 | + | 0.179987i | ||||
\(115\) | −0.157820 | − | 0.0911173i | −0.0147168 | − | 0.00849673i | ||||
\(116\) | −5.41690 | − | 6.90722i | −0.502947 | − | 0.641319i | ||||
\(117\) | 4.45875 | + | 7.72278i | 0.412212 | + | 0.713972i | ||||
\(118\) | 10.1895 | + | 1.97097i | 0.938024 | + | 0.181443i | ||||
\(119\) | −7.84529 | + | 8.48390i | −0.719176 | + | 0.777717i | ||||
\(120\) | 5.23065 | + | 3.37644i | 0.477491 | + | 0.308226i | ||||
\(121\) | −11.3764 | − | 19.7046i | −1.03422 | − | 1.79133i | ||||
\(122\) | 10.4578 | + | 9.07408i | 0.946809 | + | 0.821528i | ||||
\(123\) | 3.78942 | − | 6.56346i | 0.341680 | − | 0.591808i | ||||
\(124\) | 1.15034 | + | 8.07781i | 0.103304 | + | 0.725409i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 5.56420 | − | 4.08612i | 0.495698 | − | 0.364021i | ||||
\(127\) | 2.88206i | 0.255742i | 0.991791 | + | 0.127871i | \(0.0408143\pi\) | ||||
−0.991791 | + | 0.127871i | \(0.959186\pi\) | |||||||
\(128\) | 7.76878 | + | 8.22472i | 0.686670 | + | 0.726969i | ||||
\(129\) | −4.01829 | − | 2.31996i | −0.353790 | − | 0.204261i | ||||
\(130\) | 5.16280 | + | 4.47966i | 0.452808 | + | 0.392893i | ||||
\(131\) | 6.92953 | − | 4.00076i | 0.605436 | − | 0.349548i | −0.165741 | − | 0.986169i | \(-0.553002\pi\) |
0.771177 | + | 0.636621i | \(0.219668\pi\) | |||||||
\(132\) | −9.53752 | + | 23.7312i | −0.830134 | + | 2.06553i | ||||
\(133\) | 1.48292 | + | 4.77885i | 0.128586 | + | 0.414379i | ||||
\(134\) | −3.24950 | + | 16.7993i | −0.280714 | + | 1.45124i | ||||
\(135\) | −2.20170 | + | 1.27115i | −0.189492 | + | 0.109403i | ||||
\(136\) | −10.9913 | + | 5.63841i | −0.942495 | + | 0.483489i | ||||
\(137\) | 5.09925 | − | 8.83216i | 0.435658 | − | 0.754582i | −0.561691 | − | 0.827347i | \(-0.689849\pi\) |
0.997349 | + | 0.0727651i | \(0.0231823\pi\) | |||||||
\(138\) | −0.536199 | + | 0.185177i | −0.0456443 | + | 0.0157633i | ||||
\(139\) | − | 9.93769i | − | 0.842904i | −0.906851 | − | 0.421452i | \(-0.861521\pi\) | ||
0.906851 | − | 0.421452i | \(-0.138479\pi\) | |||||||
\(140\) | 3.00897 | − | 4.35271i | 0.254304 | − | 0.367872i | ||||
\(141\) | 4.16814i | 0.351021i | ||||||||
\(142\) | −4.06558 | − | 11.7723i | −0.341176 | − | 0.987908i | ||||
\(143\) | −14.0401 | + | 24.3182i | −1.17409 | + | 2.03359i | ||||
\(144\) | 7.08664 | − | 2.06017i | 0.590554 | − | 0.171681i | ||||
\(145\) | −3.80097 | + | 2.19449i | −0.315653 | + | 0.182242i | ||||
\(146\) | −11.7840 | − | 2.27939i | −0.975254 | − | 0.188644i | ||||
\(147\) | −8.72256 | − | 12.7013i | −0.719424 | − | 1.04758i | ||||
\(148\) | 3.17895 | − | 7.90983i | 0.261308 | − | 0.650184i | ||||
\(149\) | 13.6559 | − | 7.88422i | 1.11873 | − | 0.645900i | 0.177655 | − | 0.984093i | \(-0.443149\pi\) |
0.941077 | + | 0.338192i | \(0.109815\pi\) | |||||||
\(150\) | 2.04008 | − | 2.35119i | 0.166572 | − | 0.191974i | ||||
\(151\) | −5.24155 | − | 3.02621i | −0.426552 | − | 0.246270i | 0.271325 | − | 0.962488i | \(-0.412538\pi\) |
−0.697877 | + | 0.716218i | \(0.745872\pi\) | |||||||
\(152\) | −0.265283 | + | 5.34254i | −0.0215173 | + | 0.433337i | ||||
\(153\) | 8.05806i | 0.651455i | ||||||||
\(154\) | 19.9035 | + | 8.74030i | 1.60387 | + | 0.704314i | ||||
\(155\) | 4.07965 | 0.327686 | ||||||||
\(156\) | 21.0651 | − | 2.99983i | 1.68655 | − | 0.240179i | ||||
\(157\) | −10.2074 | + | 17.6798i | −0.814641 | + | 1.41100i | 0.0949439 | + | 0.995483i | \(0.469733\pi\) |
−0.909585 | + | 0.415518i | \(0.863600\pi\) | |||||||
\(158\) | −11.2951 | + | 13.0176i | −0.898592 | + | 1.03562i | ||||
\(159\) | −10.8556 | − | 18.8024i | −0.860902 | − | 1.49113i | ||||
\(160\) | 4.61893 | − | 3.26581i | 0.365158 | − | 0.258185i | ||||
\(161\) | 0.142893 | + | 0.460486i | 0.0112616 | + | 0.0362914i | ||||
\(162\) | −2.98949 | + | 15.4551i | −0.234876 | + | 1.21427i | ||||
\(163\) | 1.91267 | + | 3.31285i | 0.149812 | + | 0.259482i | 0.931158 | − | 0.364616i | \(-0.118800\pi\) |
−0.781346 | + | 0.624098i | \(0.785466\pi\) | |||||||
\(164\) | −4.24955 | − | 5.41870i | −0.331834 | − | 0.423129i | ||||
\(165\) | 11.0747 | + | 6.39400i | 0.862167 | + | 0.497772i | ||||
\(166\) | 7.83402 | + | 22.6842i | 0.608038 | + | 1.76063i | ||||
\(167\) | −21.6531 | −1.67556 | −0.837782 | − | 0.546005i | \(-0.816148\pi\) | ||||
−0.837782 | + | 0.546005i | \(0.816148\pi\) | |||||||
\(168\) | −4.09551 | − | 15.9545i | −0.315976 | − | 1.23092i | ||||
\(169\) | 10.3609 | 0.796996 | ||||||||
\(170\) | 2.01624 | + | 5.83822i | 0.154638 | + | 0.447771i | ||||
\(171\) | 3.02180 | + | 1.74464i | 0.231083 | + | 0.133416i | ||||
\(172\) | −3.31744 | + | 2.60166i | −0.252952 | + | 0.198375i | ||||
\(173\) | 5.20160 | + | 9.00944i | 0.395470 | + | 0.684975i | 0.993161 | − | 0.116752i | \(-0.0372483\pi\) |
−0.597691 | + | 0.801727i | \(0.703915\pi\) | |||||||
\(174\) | −2.59462 | + | 13.4137i | −0.196698 | + | 1.01689i | ||||
\(175\) | −1.94251 | − | 1.79629i | −0.146840 | − | 0.135787i | ||||
\(176\) | 16.7756 | + | 16.0818i | 1.26451 | + | 1.21221i | ||||
\(177\) | −8.07669 | − | 13.9892i | −0.607081 | − | 1.05150i | ||||
\(178\) | 5.47618 | − | 6.31128i | 0.410457 | − | 0.473051i | ||||
\(179\) | 3.80514 | − | 6.59069i | 0.284409 | − | 0.492611i | −0.688056 | − | 0.725657i | \(-0.741536\pi\) |
0.972466 | + | 0.233046i | \(0.0748692\pi\) | |||||||
\(180\) | −0.520239 | − | 3.65316i | −0.0387763 | − | 0.272290i | ||||
\(181\) | −11.2225 | −0.834160 | −0.417080 | − | 0.908870i | \(-0.636946\pi\) | ||||
−0.417080 | + | 0.908870i | \(0.636946\pi\) | |||||||
\(182\) | −1.98201 | − | 17.9757i | −0.146916 | − | 1.33245i | ||||
\(183\) | − | 21.5501i | − | 1.59303i | ||||||
\(184\) | −0.0255625 | + | 0.514803i | −0.00188449 | + | 0.0379518i | ||||
\(185\) | −3.69132 | − | 2.13119i | −0.271391 | − | 0.156688i | ||||
\(186\) | 8.32282 | − | 9.59203i | 0.610259 | − | 0.703322i | ||||
\(187\) | −21.9745 | + | 12.6870i | −1.60693 | + | 0.927763i | ||||
\(188\) | 3.51408 | + | 1.41230i | 0.256291 | + | 0.103003i | ||||
\(189\) | 6.56017 | + | 1.48567i | 0.477182 | + | 0.108066i | ||||
\(190\) | 2.62589 | + | 0.507927i | 0.190502 | + | 0.0368489i | ||||
\(191\) | 6.68571 | − | 3.86000i | 0.483761 | − | 0.279300i | −0.238222 | − | 0.971211i | \(-0.576564\pi\) |
0.721983 | + | 0.691911i | \(0.243231\pi\) | |||||||
\(192\) | 1.74446 | − | 17.5225i | 0.125895 | − | 1.26458i | ||||
\(193\) | −11.7011 | + | 20.2669i | −0.842265 | + | 1.45885i | 0.0457097 | + | 0.998955i | \(0.485445\pi\) |
−0.887975 | + | 0.459892i | \(0.847888\pi\) | |||||||
\(194\) | −6.11166 | − | 17.6969i | −0.438791 | − | 1.27056i | ||||
\(195\) | − | 10.6388i | − | 0.761860i | ||||||
\(196\) | −13.6637 | + | 3.05021i | −0.975977 | + | 0.217872i | ||||
\(197\) | − | 20.4272i | − | 1.45538i | −0.685907 | − | 0.727689i | \(-0.740594\pi\) | ||
0.685907 | − | 0.727689i | \(-0.259406\pi\) | |||||||
\(198\) | 14.3285 | − | 4.94838i | 1.01828 | − | 0.351666i | ||||
\(199\) | 1.10091 | − | 1.90683i | 0.0780413 | − | 0.135172i | −0.824363 | − | 0.566061i | \(-0.808467\pi\) |
0.902405 | + | 0.430889i | \(0.141800\pi\) | |||||||
\(200\) | −1.29099 | − | 2.51661i | −0.0912870 | − | 0.177951i | ||||
\(201\) | 23.0638 | − | 13.3159i | 1.62679 | − | 0.939230i | ||||
\(202\) | 0.663064 | − | 3.42792i | 0.0466530 | − | 0.241187i | ||||
\(203\) | 11.3253 | + | 2.56482i | 0.794884 | + | 0.180015i | ||||
\(204\) | 17.8400 | + | 7.16988i | 1.24905 | + | 0.501992i | ||||
\(205\) | −2.98185 | + | 1.72157i | −0.208261 | + | 0.120240i | ||||
\(206\) | −1.96617 | − | 1.70601i | −0.136990 | − | 0.118863i | ||||
\(207\) | 0.291179 | + | 0.168112i | 0.0202383 | + | 0.0116846i | ||||
\(208\) | 4.60843 | − | 18.7760i | 0.319537 | − | 1.30188i | ||||
\(209\) | 10.9874i | 0.760011i | ||||||||
\(210\) | −8.18629 | + | 0.902624i | −0.564908 | + | 0.0622870i | ||||
\(211\) | −28.9363 | −1.99206 | −0.996028 | − | 0.0890425i | \(-0.971619\pi\) | ||||
−0.996028 | + | 0.0890425i | \(0.971619\pi\) | |||||||
\(212\) | −19.5301 | + | 2.78125i | −1.34134 | + | 0.191017i | ||||
\(213\) | −9.69236 | + | 16.7877i | −0.664110 | + | 1.15027i | ||||
\(214\) | −19.4123 | − | 16.8437i | −1.32700 | − | 1.15141i | ||||
\(215\) | 1.05398 | + | 1.82555i | 0.0718810 | + | 0.124501i | ||||
\(216\) | 6.04136 | + | 3.89977i | 0.411063 | + | 0.265346i | ||||
\(217\) | −7.92476 | − | 7.32824i | −0.537968 | − | 0.497473i | ||||
\(218\) | −5.45955 | − | 1.05605i | −0.369768 | − | 0.0715244i | ||||
\(219\) | 9.34056 | + | 16.1783i | 0.631176 | + | 1.09323i | ||||
\(220\) | 9.14314 | − | 7.17039i | 0.616430 | − | 0.483428i | ||||
\(221\) | 18.2813 | + | 10.5547i | 1.22974 | + | 0.709989i | ||||
\(222\) | −12.5414 | + | 4.33120i | −0.841724 | + | 0.290691i | ||||
\(223\) | −11.0535 | −0.740200 | −0.370100 | − | 0.928992i | \(-0.620677\pi\) | ||||
−0.370100 | + | 0.928992i | \(0.620677\pi\) | |||||||
\(224\) | −14.8386 | − | 1.95307i | −0.991449 | − | 0.130495i | ||||
\(225\) | −1.84501 | −0.123000 | ||||||||
\(226\) | −9.57964 | + | 3.30835i | −0.637229 | + | 0.220068i | ||||
\(227\) | 7.11916 | + | 4.11025i | 0.472515 | + | 0.272807i | 0.717292 | − | 0.696773i | \(-0.245381\pi\) |
−0.244777 | + | 0.969579i | \(0.578715\pi\) | |||||||
\(228\) | 6.55126 | − | 5.13774i | 0.433868 | − | 0.340255i | ||||
\(229\) | 5.03725 | + | 8.72478i | 0.332871 | + | 0.576549i | 0.983074 | − | 0.183211i | \(-0.0586493\pi\) |
−0.650203 | + | 0.759761i | \(0.725316\pi\) | |||||||
\(230\) | 0.253029 | + | 0.0489435i | 0.0166842 | + | 0.00322724i | ||||
\(231\) | −10.0273 | − | 32.3138i | −0.659747 | − | 2.12609i | ||||
\(232\) | 10.4297 | + | 6.73248i | 0.684743 | + | 0.442009i | ||||
\(233\) | 3.68557 | + | 6.38359i | 0.241450 | + | 0.418203i | 0.961127 | − | 0.276105i | \(-0.0890438\pi\) |
−0.719678 | + | 0.694308i | \(0.755711\pi\) | |||||||
\(234\) | −9.52540 | − | 8.26501i | −0.622695 | − | 0.540301i | ||||
\(235\) | 0.946816 | − | 1.63993i | 0.0617634 | − | 0.106977i | ||||
\(236\) | −14.5307 | + | 2.06929i | −0.945868 | + | 0.134699i | ||||
\(237\) | 26.8249 | 1.74246 | ||||||||
\(238\) | 6.57057 | − | 14.9625i | 0.425907 | − | 0.969877i | ||||
\(239\) | − | 20.9534i | − | 1.35536i | −0.735355 | − | 0.677682i | \(-0.762984\pi\) | ||
0.735355 | − | 0.677682i | \(-0.237016\pi\) | |||||||
\(240\) | −8.55076 | − | 2.09872i | −0.551949 | − | 0.135472i | ||||
\(241\) | −2.42132 | − | 1.39795i | −0.155971 | − | 0.0900498i | 0.419983 | − | 0.907532i | \(-0.362036\pi\) |
−0.575954 | + | 0.817482i | \(0.695369\pi\) | |||||||
\(242\) | 24.3039 | + | 21.0881i | 1.56232 | + | 1.35559i | ||||
\(243\) | 14.6132 | − | 8.43695i | 0.937439 | − | 0.541231i | ||||
\(244\) | −18.1685 | − | 7.30188i | −1.16312 | − | 0.467455i | ||||
\(245\) | 0.546681 | + | 6.97862i | 0.0349262 | + | 0.445848i | ||||
\(246\) | −2.03548 | + | 10.5230i | −0.129777 | + | 0.670924i | ||||
\(247\) | 7.91614 | − | 4.57039i | 0.503692 | − | 0.290807i | ||||
\(248\) | −5.26681 | − | 10.2669i | −0.334443 | − | 0.651949i | ||||
\(249\) | 18.6764 | − | 32.3484i | 1.18357 | − | 2.05000i | ||||
\(250\) | −1.33674 | + | 0.461647i | −0.0845431 | + | 0.0291971i | ||||
\(251\) | 18.7656i | 1.18448i | 0.805763 | + | 0.592238i | \(0.201756\pi\) | ||||
−0.805763 | + | 0.592238i | \(0.798244\pi\) | |||||||
\(252\) | −5.55156 | + | 8.03079i | −0.349716 | + | 0.505892i | ||||
\(253\) | 1.05873i | 0.0665620i | ||||||||
\(254\) | −1.33050 | − | 3.85258i | −0.0834827 | − | 0.241732i | ||||
\(255\) | 4.80673 | − | 8.32550i | 0.301009 | − | 0.521363i | ||||
\(256\) | −14.1818 | − | 7.40791i | −0.886361 | − | 0.462994i | ||||
\(257\) | −6.76564 | + | 3.90615i | −0.422029 | + | 0.243659i | −0.695945 | − | 0.718095i | \(-0.745014\pi\) |
0.273916 | + | 0.961754i | \(0.411681\pi\) | |||||||
\(258\) | 6.44242 | + | 1.24616i | 0.401088 | + | 0.0775826i | ||||
\(259\) | 3.34220 | + | 10.7705i | 0.207674 | + | 0.669248i | ||||
\(260\) | −8.96936 | − | 3.60477i | −0.556256 | − | 0.223558i | ||||
\(261\) | 7.01281 | − | 4.04885i | 0.434082 | − | 0.250617i | ||||
\(262\) | −7.41606 | + | 8.54699i | −0.458166 | + | 0.528035i | ||||
\(263\) | 5.03985 | + | 2.90976i | 0.310770 | + | 0.179423i | 0.647271 | − | 0.762260i | \(-0.275910\pi\) |
−0.336501 | + | 0.941683i | \(0.609243\pi\) | |||||||
\(264\) | 1.79380 | − | 36.1254i | 0.110401 | − | 2.22337i | ||||
\(265\) | 9.86359i | 0.605916i | ||||||||
\(266\) | −4.18843 | − | 5.70351i | −0.256809 | − | 0.349705i | ||||
\(267\) | −13.0054 | −0.795920 | ||||||||
\(268\) | −3.41159 | − | 23.9565i | −0.208396 | − | 1.46337i | ||||
\(269\) | 12.0950 | − | 20.9492i | 0.737445 | − | 1.27729i | −0.216197 | − | 0.976350i | \(-0.569365\pi\) |
0.953642 | − | 0.300943i | \(-0.0973012\pi\) | |||||||
\(270\) | 2.35628 | − | 2.71561i | 0.143399 | − | 0.165266i | ||||
\(271\) | 7.83742 | + | 13.5748i | 0.476089 | + | 0.824611i | 0.999625 | − | 0.0273932i | \(-0.00872061\pi\) |
−0.523536 | + | 0.852004i | \(0.675387\pi\) | |||||||
\(272\) | 12.0896 | − | 12.6112i | 0.733038 | − | 0.764666i | ||||
\(273\) | −19.1104 | + | 20.6660i | −1.15661 | + | 1.25076i | ||||
\(274\) | −2.73905 | + | 14.1604i | −0.165472 | + | 0.855460i | ||||
\(275\) | −2.90486 | − | 5.03137i | −0.175170 | − | 0.303403i | ||||
\(276\) | 0.631274 | − | 0.495069i | 0.0379982 | − | 0.0297996i | ||||
\(277\) | 12.6984 | + | 7.33142i | 0.762972 | + | 0.440502i | 0.830362 | − | 0.557225i | \(-0.188134\pi\) |
−0.0673898 | + | 0.997727i | \(0.521467\pi\) | |||||||
\(278\) | 4.58770 | + | 13.2841i | 0.275152 | + | 0.796729i | ||||
\(279\) | −7.52699 | −0.450629 | ||||||||
\(280\) | −2.01280 | + | 7.20754i | −0.120288 | + | 0.430733i | ||||
\(281\) | 15.0418 | 0.897320 | 0.448660 | − | 0.893703i | \(-0.351901\pi\) | ||||
0.448660 | + | 0.893703i | \(0.351901\pi\) | |||||||
\(282\) | −1.92421 | − | 5.57174i | −0.114585 | − | 0.331792i | ||||
\(283\) | 4.29409 | + | 2.47919i | 0.255257 | + | 0.147373i | 0.622169 | − | 0.782883i | \(-0.286252\pi\) |
−0.366912 | + | 0.930256i | \(0.619585\pi\) | |||||||
\(284\) | 10.8693 | + | 13.8597i | 0.644972 | + | 0.822419i | ||||
\(285\) | −2.08140 | − | 3.60508i | −0.123291 | − | 0.213547i | ||||
\(286\) | 7.54162 | − | 38.9888i | 0.445945 | − | 2.30545i | ||||
\(287\) | 8.88471 | + | 2.01210i | 0.524448 | + | 0.118771i | ||||
\(288\) | −8.52195 | + | 6.02544i | −0.502161 | + | 0.355053i | ||||
\(289\) | 1.03750 | + | 1.79700i | 0.0610294 | + | 0.105706i | ||||
\(290\) | 4.06784 | − | 4.68817i | 0.238872 | − | 0.275299i | ||||
\(291\) | −14.5702 | + | 25.2364i | −0.854123 | + | 1.47938i | ||||
\(292\) | 16.8045 | − | 2.39310i | 0.983410 | − | 0.140045i | ||||
\(293\) | 2.56812 | 0.150031 | 0.0750156 | − | 0.997182i | \(-0.476099\pi\) | ||||
0.0750156 | + | 0.997182i | \(0.476099\pi\) | |||||||
\(294\) | 17.5233 | + | 12.9516i | 1.02198 | + | 0.755353i | ||||
\(295\) | 7.33865i | 0.427273i | ||||||||
\(296\) | −0.597893 | + | 12.0410i | −0.0347518 | + | 0.699867i | ||||
\(297\) | 12.7912 | + | 7.38503i | 0.742223 | + | 0.428523i | ||||
\(298\) | −14.6147 | + | 16.8434i | −0.846605 | + | 0.975710i | ||||
\(299\) | 0.762793 | − | 0.440399i | 0.0441135 | − | 0.0254689i | ||||
\(300\) | −1.64165 | + | 4.08473i | −0.0947805 | + | 0.235832i | ||||
\(301\) | 1.23185 | − | 5.43941i | 0.0710026 | − | 0.313522i | ||||
\(302\) | 8.40365 | + | 1.62552i | 0.483576 | + | 0.0935384i | ||||
\(303\) | −4.70619 | + | 2.71712i | −0.270363 | + | 0.156094i | ||||
\(304\) | −2.11175 | − | 7.26407i | −0.121117 | − | 0.416623i | ||||
\(305\) | −4.89522 | + | 8.47877i | −0.280299 | + | 0.485493i | ||||
\(306\) | −3.71997 | − | 10.7716i | −0.212657 | − | 0.615769i | ||||
\(307\) | 14.4425i | 0.824280i | 0.911121 | + | 0.412140i | \(0.135219\pi\) | ||||
−0.911121 | + | 0.412140i | \(0.864781\pi\) | |||||||
\(308\) | −30.6407 | − | 2.49518i | −1.74592 | − | 0.142176i | ||||
\(309\) | 4.05162i | 0.230488i | ||||||||
\(310\) | −5.45345 | + | 1.88336i | −0.309735 | + | 0.106968i | ||||
\(311\) | −8.26712 | + | 14.3191i | −0.468785 | + | 0.811960i | −0.999363 | − | 0.0356762i | \(-0.988641\pi\) |
0.530578 | + | 0.847636i | \(0.321975\pi\) | |||||||
\(312\) | −26.7737 | + | 13.7346i | −1.51576 | + | 0.777570i | ||||
\(313\) | 2.19818 | − | 1.26912i | 0.124248 | − | 0.0717348i | −0.436588 | − | 0.899662i | \(-0.643813\pi\) |
0.560836 | + | 0.827927i | \(0.310480\pi\) | |||||||
\(314\) | 5.48290 | − | 28.3456i | 0.309418 | − | 1.59963i | ||||
\(315\) | 3.58394 | + | 3.31417i | 0.201932 | + | 0.186732i | ||||
\(316\) | 9.08916 | − | 22.6156i | 0.511305 | − | 1.27222i | ||||
\(317\) | −14.8432 | + | 8.56971i | −0.833676 | + | 0.481323i | −0.855109 | − | 0.518447i | \(-0.826510\pi\) |
0.0214339 | + | 0.999770i | \(0.493177\pi\) | |||||||
\(318\) | 23.1912 | + | 20.1225i | 1.30050 | + | 1.12842i | ||||
\(319\) | 22.0826 | + | 12.7494i | 1.23639 | + | 0.713828i | ||||
\(320\) | −4.66667 | + | 6.49786i | −0.260875 | + | 0.363241i | ||||
\(321\) | 40.0023i | 2.23271i | ||||||||
\(322\) | −0.403594 | − | 0.549586i | −0.0224914 | − | 0.0306272i | ||||
\(323\) | 8.25981 | 0.459588 | ||||||||
\(324\) | −3.13861 | − | 22.0396i | −0.174367 | − | 1.22442i | ||||
\(325\) | −2.41666 | + | 4.18577i | −0.134052 | + | 0.232185i | ||||
\(326\) | −4.08612 | − | 3.54545i | −0.226309 | − | 0.196364i | ||||
\(327\) | 4.32749 | + | 7.49543i | 0.239311 | + | 0.414498i | ||||
\(328\) | 8.18208 | + | 5.28162i | 0.451780 | + | 0.291629i | ||||
\(329\) | −4.78499 | + | 1.48483i | −0.263805 | + | 0.0818612i | ||||
\(330\) | −17.7558 | − | 3.43452i | −0.977427 | − | 0.189064i | ||||
\(331\) | −11.9027 | − | 20.6161i | −0.654233 | − | 1.13317i | −0.982085 | − | 0.188436i | \(-0.939658\pi\) |
0.327852 | − | 0.944729i | \(-0.393675\pi\) | |||||||
\(332\) | −20.9441 | − | 26.7064i | −1.14946 | − | 1.46570i | ||||
\(333\) | 6.81051 | + | 3.93205i | 0.373214 | + | 0.215475i | ||||
\(334\) | 28.9446 | − | 9.99606i | 1.58378 | − | 0.546960i | ||||
\(335\) | −12.0991 | −0.661044 | ||||||||
\(336\) | 12.8400 | + | 19.4364i | 0.700480 | + | 1.06034i | ||||
\(337\) | 1.22715 | 0.0668470 | 0.0334235 | − | 0.999441i | \(-0.489359\pi\) | ||||
0.0334235 | + | 0.999441i | \(0.489359\pi\) | |||||||
\(338\) | −13.8499 | + | 4.78310i | −0.753337 | + | 0.260166i | ||||
\(339\) | 13.6609 | + | 7.88712i | 0.741958 | + | 0.428370i | ||||
\(340\) | −5.39039 | − | 6.87341i | −0.292335 | − | 0.372763i | ||||
\(341\) | −11.8508 | − | 20.5262i | −0.641758 | − | 1.11156i | ||||
\(342\) | −4.84478 | − | 0.937129i | −0.261976 | − | 0.0506741i | ||||
\(343\) | 11.4737 | − | 14.5380i | 0.619521 | − | 0.784980i | ||||
\(344\) | 3.23352 | − | 5.00924i | 0.174340 | − | 0.270080i | ||||
\(345\) | −0.200562 | − | 0.347383i | −0.0107979 | − | 0.0187025i | ||||
\(346\) | −11.1124 | − | 9.64200i | −0.597405 | − | 0.518357i | ||||
\(347\) | −15.4834 | + | 26.8181i | −0.831194 | + | 1.43967i | 0.0658983 | + | 0.997826i | \(0.479009\pi\) |
−0.897092 | + | 0.441844i | \(0.854325\pi\) | |||||||
\(348\) | −2.72405 | − | 19.1285i | −0.146024 | − | 1.02539i | ||||
\(349\) | −26.6776 | −1.42802 | −0.714010 | − | 0.700136i | \(-0.753123\pi\) | ||||
−0.714010 | + | 0.700136i | \(0.753123\pi\) | |||||||
\(350\) | 3.42589 | + | 1.50443i | 0.183121 | + | 0.0804150i | ||||
\(351\) | − | 12.2877i | − | 0.655871i | ||||||
\(352\) | −29.8488 | − | 13.7528i | −1.59095 | − | 0.733027i | ||||
\(353\) | −12.1501 | − | 7.01487i | −0.646685 | − | 0.373364i | 0.140500 | − | 0.990081i | \(-0.455129\pi\) |
−0.787185 | + | 0.616717i | \(0.788462\pi\) | |||||||
\(354\) | 17.2545 | + | 14.9714i | 0.917069 | + | 0.795723i | ||||
\(355\) | 7.62681 | − | 4.40334i | 0.404789 | − | 0.233705i | ||||
\(356\) | −4.40667 | + | 10.9646i | −0.233553 | + | 0.581124i | ||||
\(357\) | −24.2921 | + | 7.53807i | −1.28568 | + | 0.398957i | ||||
\(358\) | −2.04392 | + | 10.5667i | −0.108025 | + | 0.558467i | ||||
\(359\) | 10.5164 | − | 6.07165i | 0.555035 | − | 0.320450i | −0.196115 | − | 0.980581i | \(-0.562833\pi\) |
0.751150 | + | 0.660131i | \(0.229499\pi\) | |||||||
\(360\) | 2.38189 | + | 4.64317i | 0.125537 | + | 0.244716i | ||||
\(361\) | −7.71168 | + | 13.3570i | −0.405878 | + | 0.703001i | ||||
\(362\) | 15.0016 | − | 5.18081i | 0.788465 | − | 0.272298i | ||||
\(363\) | − | 50.0822i | − | 2.62864i | ||||||
\(364\) | 10.9478 | + | 23.1139i | 0.573823 | + | 1.21150i | ||||
\(365\) | − | 8.48703i | − | 0.444231i | ||||||
\(366\) | 9.94853 | + | 28.8070i | 0.520018 | + | 1.50576i | ||||
\(367\) | 5.75583 | − | 9.96939i | 0.300452 | − | 0.520398i | −0.675787 | − | 0.737097i | \(-0.736196\pi\) |
0.976238 | + | 0.216700i | \(0.0695292\pi\) | |||||||
\(368\) | −0.203487 | − | 0.699960i | −0.0106075 | − | 0.0364880i | ||||
\(369\) | 5.50153 | − | 3.17631i | 0.286398 | − | 0.165352i | ||||
\(370\) | 5.91820 | + | 1.14476i | 0.307673 | + | 0.0595133i | ||||
\(371\) | 17.7179 | − | 19.1601i | 0.919866 | − | 0.994744i | ||||
\(372\) | −6.69735 | + | 16.6643i | −0.347241 | + | 0.864003i | ||||
\(373\) | 20.3241 | − | 11.7341i | 1.05234 | − | 0.607570i | 0.129037 | − | 0.991640i | \(-0.458811\pi\) |
0.923304 | + | 0.384070i | \(0.125478\pi\) | |||||||
\(374\) | 23.5173 | − | 27.1037i | 1.21605 | − | 1.40150i | ||||
\(375\) | 1.90624 | + | 1.10057i | 0.0984379 | + | 0.0568331i | ||||
\(376\) | −5.34941 | − | 0.265624i | −0.275875 | − | 0.0136985i | ||||
\(377\) | − | 21.2133i | − | 1.09254i | ||||||
\(378\) | −9.45511 | + | 1.04252i | −0.486318 | + | 0.0536217i | ||||
\(379\) | −15.5653 | −0.799536 | −0.399768 | − | 0.916616i | \(-0.630909\pi\) | ||||
−0.399768 | + | 0.916616i | \(0.630909\pi\) | |||||||
\(380\) | −3.74462 | + | 0.533264i | −0.192095 | + | 0.0273559i | ||||
\(381\) | −3.17191 | + | 5.49391i | −0.162502 | + | 0.281462i | ||||
\(382\) | −7.15512 | + | 8.24626i | −0.366088 | + | 0.421915i | ||||
\(383\) | −7.45943 | − | 12.9201i | −0.381159 | − | 0.660187i | 0.610069 | − | 0.792348i | \(-0.291142\pi\) |
−0.991228 | + | 0.132161i | \(0.957808\pi\) | |||||||
\(384\) | 5.75730 | + | 24.2284i | 0.293801 | + | 1.23640i | ||||
\(385\) | −3.39508 | + | 14.9915i | −0.173029 | + | 0.764035i | ||||
\(386\) | 6.28524 | − | 32.4935i | 0.319910 | − | 1.65387i | ||||
\(387\) | −1.94460 | − | 3.36815i | −0.0988498 | − | 0.171213i | ||||
\(388\) | 16.3394 | + | 20.8348i | 0.829509 | + | 1.05773i | ||||
\(389\) | −10.9524 | − | 6.32338i | −0.555310 | − | 0.320608i | 0.195951 | − | 0.980614i | \(-0.437221\pi\) |
−0.751261 | + | 0.660006i | \(0.770554\pi\) | |||||||
\(390\) | 4.91136 | + | 14.2213i | 0.248697 | + | 0.720125i | ||||
\(391\) | 0.795909 | 0.0402508 | ||||||||
\(392\) | 16.8567 | − | 10.3851i | 0.851393 | − | 0.524529i | ||||
\(393\) | 17.6125 | 0.888431 | ||||||||
\(394\) | 9.43015 | + | 27.3059i | 0.475084 | + | 1.37565i | ||||
\(395\) | −10.5541 | − | 6.09342i | −0.531035 | − | 0.306593i | ||||
\(396\) | −16.8692 | + | 13.2294i | −0.847707 | + | 0.664804i | ||||
\(397\) | 7.61650 | + | 13.1922i | 0.382261 | + | 0.662095i | 0.991385 | − | 0.130979i | \(-0.0418122\pi\) |
−0.609124 | + | 0.793075i | \(0.708479\pi\) | |||||||
\(398\) | −0.591351 | + | 3.05717i | −0.0296417 | + | 0.153242i | ||||
\(399\) | −2.43265 | + | 10.7417i | −0.121785 | + | 0.537758i | ||||
\(400\) | 2.88751 | + | 2.76808i | 0.144376 | + | 0.138404i | ||||
\(401\) | −7.73594 | − | 13.3990i | −0.386315 | − | 0.669117i | 0.605636 | − | 0.795742i | \(-0.292919\pi\) |
−0.991951 | + | 0.126625i | \(0.959585\pi\) | |||||||
\(402\) | −24.6831 | + | 28.4472i | −1.23108 | + | 1.41882i | ||||
\(403\) | −9.85913 | + | 17.0765i | −0.491118 | + | 0.850641i | ||||
\(404\) | 0.696139 | + | 4.88834i | 0.0346342 | + | 0.243204i | ||||
\(405\) | −11.1310 | −0.553102 | ||||||||
\(406\) | −16.3231 | + | 1.79980i | −0.810103 | + | 0.0893223i | ||||
\(407\) | 24.7632i | 1.22747i | ||||||||
\(408\) | −27.1575 | − | 1.34850i | −1.34450 | − | 0.0667608i | ||||
\(409\) | −7.47055 | − | 4.31313i | −0.369395 | − | 0.213270i | 0.303799 | − | 0.952736i | \(-0.401745\pi\) |
−0.673194 | + | 0.739466i | \(0.735078\pi\) | |||||||
\(410\) | 3.19121 | − | 3.67786i | 0.157603 | − | 0.181637i | ||||
\(411\) | 19.4408 | − | 11.2241i | 0.958944 | − | 0.553646i | ||||
\(412\) | 3.41584 | + | 1.37282i | 0.168286 | + | 0.0676340i | ||||
\(413\) | 13.1823 | − | 14.2554i | 0.648661 | − | 0.701462i | ||||
\(414\) | −0.466839 | − | 0.0903011i | −0.0229439 | − | 0.00443806i | ||||
\(415\) | −14.6962 | + | 8.48487i | −0.721409 | + | 0.416506i | ||||
\(416\) | 2.50758 | + | 27.2261i | 0.122944 | + | 1.33487i | ||||
\(417\) | 10.9371 | − | 18.9436i | 0.535592 | − | 0.927673i | ||||
\(418\) | −5.07227 | − | 14.6873i | −0.248093 | − | 0.718378i | ||||
\(419\) | 10.6898i | 0.522230i | 0.965308 | + | 0.261115i | \(0.0840902\pi\) | ||||
−0.965308 | + | 0.261115i | \(0.915910\pi\) | |||||||
\(420\) | 10.5263 | − | 4.98575i | 0.513630 | − | 0.243280i | ||||
\(421\) | 20.4941i | 0.998823i | 0.866365 | + | 0.499412i | \(0.166450\pi\) | ||||
−0.866365 | + | 0.499412i | \(0.833550\pi\) | |||||||
\(422\) | 38.6804 | − | 13.3583i | 1.88293 | − | 0.650273i | ||||
\(423\) | −1.74688 | + | 3.02569i | −0.0849363 | + | 0.147114i | ||||
\(424\) | 24.8228 | − | 12.7338i | 1.20550 | − | 0.618410i | ||||
\(425\) | −3.78236 | + | 2.18375i | −0.183471 | + | 0.105927i | ||||
\(426\) | 5.20623 | − | 26.9152i | 0.252243 | − | 1.30405i | ||||
\(427\) | 24.7393 | − | 7.67685i | 1.19722 | − | 0.371509i | ||||
\(428\) | 33.7252 | + | 13.5541i | 1.63017 | + | 0.655162i | ||||
\(429\) | −53.5277 | + | 30.9042i | −2.58434 | + | 1.49207i | ||||
\(430\) | −2.25166 | − | 1.95372i | −0.108585 | − | 0.0942170i | ||||
\(431\) | 20.9544 | + | 12.0980i | 1.00934 | + | 0.582740i | 0.910997 | − | 0.412412i | \(-0.135314\pi\) |
0.0983389 | + | 0.995153i | \(0.468647\pi\) | |||||||
\(432\) | −9.87607 | − | 2.42401i | −0.475163 | − | 0.116625i | ||||
\(433\) | − | 20.2949i | − | 0.975311i | −0.873036 | − | 0.487655i | \(-0.837852\pi\) | ||
0.873036 | − | 0.487655i | \(-0.162148\pi\) | |||||||
\(434\) | 13.9764 | + | 6.13754i | 0.670890 | + | 0.294611i | ||||
\(435\) | −9.66074 | −0.463197 | ||||||||
\(436\) | 7.78554 | − | 1.10872i | 0.372860 | − | 0.0530982i | ||||
\(437\) | 0.172321 | − | 0.298469i | 0.00824324 | − | 0.0142777i | ||||
\(438\) | −19.9546 | − | 17.3142i | −0.953467 | − | 0.827306i | ||||
\(439\) | −2.52231 | − | 4.36878i | −0.120384 | − | 0.208510i | 0.799535 | − | 0.600619i | \(-0.205079\pi\) |
−0.919919 | + | 0.392109i | \(0.871746\pi\) | |||||||
\(440\) | −8.91184 | + | 13.8059i | −0.424855 | + | 0.658169i | ||||
\(441\) | −1.00863 | − | 12.8756i | −0.0480300 | − | 0.613124i | ||||
\(442\) | −29.3100 | − | 5.66946i | −1.39414 | − | 0.269669i | ||||
\(443\) | −4.04696 | − | 7.00955i | −0.192277 | − | 0.333034i | 0.753727 | − | 0.657187i | \(-0.228254\pi\) |
−0.946005 | + | 0.324153i | \(0.894921\pi\) | |||||||
\(444\) | 14.7652 | − | 11.5794i | 0.700724 | − | 0.549534i | ||||
\(445\) | 5.11692 | + | 2.95425i | 0.242565 | + | 0.140045i | ||||
\(446\) | 14.7757 | − | 5.10283i | 0.699652 | − | 0.241626i | ||||
\(447\) | 34.7085 | 1.64166 | ||||||||
\(448\) | 20.7371 | − | 4.23946i | 0.979736 | − | 0.200296i | ||||
\(449\) | −4.05786 | −0.191502 | −0.0957511 | − | 0.995405i | \(-0.530525\pi\) | ||||
−0.0957511 | + | 0.995405i | \(0.530525\pi\) | |||||||
\(450\) | 2.46630 | − | 0.851741i | 0.116263 | − | 0.0401515i | ||||
\(451\) | 17.3237 | + | 10.0019i | 0.815742 | + | 0.470969i | ||||
\(452\) | 11.2782 | − | 8.84482i | 0.530484 | − | 0.416025i | ||||
\(453\) | −6.66111 | − | 11.5374i | −0.312966 | − | 0.542074i | ||||
\(454\) | −11.4140 | − | 2.20781i | −0.535684 | − | 0.103618i | ||||
\(455\) | 12.2132 | − | 3.78988i | 0.572566 | − | 0.177673i | ||||
\(456\) | −6.38553 | + | 9.89221i | −0.299030 | + | 0.463245i | ||||
\(457\) | −2.70734 | − | 4.68925i | −0.126644 | − | 0.219354i | 0.795730 | − | 0.605651i | \(-0.207087\pi\) |
−0.922374 | + | 0.386297i | \(0.873754\pi\) | |||||||
\(458\) | −10.7613 | − | 9.33736i | −0.502841 | − | 0.436306i | ||||
\(459\) | 5.55174 | − | 9.61589i | 0.259133 | − | 0.448831i | ||||
\(460\) | −0.360829 | + | 0.0513849i | −0.0168237 | + | 0.00239583i | ||||
\(461\) | 18.9095 | 0.880702 | 0.440351 | − | 0.897826i | \(-0.354854\pi\) | ||||
0.440351 | + | 0.897826i | \(0.354854\pi\) | |||||||
\(462\) | 28.3215 | + | 38.5662i | 1.31763 | + | 1.79426i | ||||
\(463\) | − | 0.304782i | − | 0.0141644i | −0.999975 | − | 0.00708220i | \(-0.997746\pi\) | ||
0.999975 | − | 0.00708220i | \(-0.00225435\pi\) | |||||||
\(464\) | −17.0499 | − | 4.18477i | −0.791520 | − | 0.194273i | ||||
\(465\) | 7.77680 | + | 4.48994i | 0.360641 | + | 0.208216i | ||||
\(466\) | −7.87362 | − | 6.83179i | −0.364738 | − | 0.316477i | ||||
\(467\) | −3.35368 | + | 1.93625i | −0.155190 | + | 0.0895989i | −0.575584 | − | 0.817743i | \(-0.695225\pi\) |
0.420394 | + | 0.907342i | \(0.361892\pi\) | |||||||
\(468\) | 16.5485 | + | 6.65083i | 0.764956 | + | 0.307435i | ||||
\(469\) | 23.5026 | + | 21.7335i | 1.08525 | + | 1.00356i | ||||
\(470\) | −0.508580 | + | 2.62926i | −0.0234590 | + | 0.121279i | ||||
\(471\) | −38.9156 | + | 22.4680i | −1.79314 | + | 1.03527i | ||||
\(472\) | 18.4685 | − | 9.47415i | 0.850083 | − | 0.436083i | ||||
\(473\) | 6.12334 | − | 10.6059i | 0.281552 | − | 0.487662i | ||||
\(474\) | −35.8580 | + | 12.3836i | −1.64701 | + | 0.568799i | ||||
\(475\) | 1.89120i | 0.0867742i | ||||||||
\(476\) | −1.87577 | + | 23.0344i | −0.0859756 | + | 1.05578i | ||||
\(477\) | − | 18.1984i | − | 0.833247i | ||||||
\(478\) | 9.67308 | + | 28.0094i | 0.442436 | + | 1.28112i | ||||
\(479\) | −16.4744 | + | 28.5344i | −0.752732 | + | 1.30377i | 0.193761 | + | 0.981049i | \(0.437931\pi\) |
−0.946494 | + | 0.322722i | \(0.895402\pi\) | |||||||
\(480\) | 12.3990 | − | 1.14197i | 0.565936 | − | 0.0521237i | ||||
\(481\) | 17.8413 | − | 10.3007i | 0.813494 | − | 0.469671i | ||||
\(482\) | 3.88204 | + | 0.750906i | 0.176822 | + | 0.0342028i | ||||
\(483\) | −0.234408 | + | 1.03506i | −0.0106659 | + | 0.0470970i | ||||
\(484\) | −42.2234 | − | 16.9695i | −1.91924 | − | 0.771341i | ||||
\(485\) | 11.4652 | − | 6.61941i | 0.520606 | − | 0.300572i | ||||
\(486\) | −15.6392 | + | 18.0242i | −0.709410 | + | 0.817594i | ||||
\(487\) | −35.8923 | − | 20.7224i | −1.62643 | − | 0.939022i | −0.985145 | − | 0.171722i | \(-0.945067\pi\) |
−0.641289 | − | 0.767300i | \(-0.721600\pi\) | |||||||
\(488\) | 27.6575 | + | 1.37333i | 1.25199 | + | 0.0621677i | ||||
\(489\) | 8.42012i | 0.380771i | ||||||||
\(490\) | −3.95243 | − | 9.07625i | −0.178553 | − | 0.410023i | ||||
\(491\) | −25.4339 | −1.14782 | −0.573908 | − | 0.818920i | \(-0.694573\pi\) | ||||
−0.573908 | + | 0.818920i | \(0.694573\pi\) | |||||||
\(492\) | −2.13701 | − | 15.0063i | −0.0963439 | − | 0.676535i | ||||
\(493\) | 9.58441 | − | 16.6007i | 0.431660 | − | 0.747658i | ||||
\(494\) | −8.47194 | + | 9.76389i | −0.381171 | + | 0.439298i | ||||
\(495\) | 5.35949 | + | 9.28291i | 0.240891 | + | 0.417236i | ||||
\(496\) | 11.7800 | + | 11.2928i | 0.528940 | + | 0.507062i | ||||
\(497\) | −22.7248 | − | 5.14644i | −1.01935 | − | 0.230849i | ||||
\(498\) | −10.0320 | + | 51.8634i | −0.449543 | + | 2.32405i | ||||
\(499\) | 3.25059 | + | 5.63019i | 0.145516 | + | 0.252042i | 0.929565 | − | 0.368657i | \(-0.120182\pi\) |
−0.784049 | + | 0.620699i | \(0.786849\pi\) | |||||||
\(500\) | 1.57376 | − | 1.23421i | 0.0703809 | − | 0.0551954i | ||||
\(501\) | −41.2759 | − | 23.8307i | −1.84407 | − | 1.06468i | ||||
\(502\) | −8.66309 | − | 25.0848i | −0.386653 | − | 1.11959i | ||||
\(503\) | 23.4094 | 1.04378 | 0.521888 | − | 0.853014i | \(-0.325228\pi\) | ||||
0.521888 | + | 0.853014i | \(0.325228\pi\) | |||||||
\(504\) | 3.71363 | − | 13.2980i | 0.165418 | − | 0.592338i | ||||
\(505\) | 2.46883 | 0.109862 | ||||||||
\(506\) | −0.488760 | − | 1.41525i | −0.0217280 | − | 0.0629157i | ||||
\(507\) | 19.7505 | + | 11.4029i | 0.877149 | + | 0.506422i | ||||
\(508\) | 3.55706 | + | 4.53569i | 0.157819 | + | 0.201239i | ||||
\(509\) | −8.44031 | − | 14.6190i | −0.374110 | − | 0.647978i | 0.616083 | − | 0.787681i | \(-0.288719\pi\) |
−0.990193 | + | 0.139703i | \(0.955385\pi\) | |||||||
\(510\) | −2.58192 | + | 13.3481i | −0.114330 | + | 0.591062i | ||||
\(511\) | −15.2452 | + | 16.4861i | −0.674406 | + | 0.729303i | ||||
\(512\) | 22.3772 | + | 3.35550i | 0.988943 | + | 0.148294i | ||||
\(513\) | −2.40400 | − | 4.16385i | −0.106139 | − | 0.183838i | ||||
\(514\) | 7.24067 | − | 8.34485i | 0.319372 | − | 0.368076i | ||||
\(515\) | 0.920346 | − | 1.59409i | 0.0405553 | − | 0.0702438i | ||||
\(516\) | −9.18715 | + | 1.30832i | −0.404442 | + | 0.0575957i | ||||
\(517\) | −11.0015 | −0.483844 | ||||||||
\(518\) | −9.43984 | − | 12.8545i | −0.414763 | − | 0.564795i | ||||
\(519\) | 22.8989i | 1.00515i | ||||||||
\(520\) | 13.6539 | + | 0.677981i | 0.598761 | + | 0.0297314i | ||||
\(521\) | 21.2245 | + | 12.2540i | 0.929864 | + | 0.536857i | 0.886769 | − | 0.462214i | \(-0.152945\pi\) |
0.0430955 | + | 0.999071i | \(0.486278\pi\) | |||||||
\(522\) | −7.50519 | + | 8.64971i | −0.328493 | + | 0.378587i | ||||
\(523\) | −25.2087 | + | 14.5543i | −1.10230 | + | 0.636414i | −0.936824 | − | 0.349800i | \(-0.886249\pi\) |
−0.165476 | + | 0.986214i | \(0.552916\pi\) | |||||||
\(524\) | 5.96768 | − | 14.8487i | 0.260699 | − | 0.648669i | ||||
\(525\) | −1.72595 | − | 5.56203i | −0.0753266 | − | 0.242747i | ||||
\(526\) | −8.08027 | − | 1.56297i | −0.352316 | − | 0.0681488i | ||||
\(527\) | −15.4307 | + | 8.90893i | −0.672173 | + | 0.388079i | ||||
\(528\) | 14.2793 | + | 49.1185i | 0.621428 | + | 2.13761i | ||||
\(529\) | −11.4834 | + | 19.8898i | −0.499278 | + | 0.864775i | ||||
\(530\) | −4.55349 | − | 13.1851i | −0.197791 | − | 0.572724i | ||||
\(531\) | − | 13.5399i | − | 0.587580i | ||||||
\(532\) | 8.23186 | + | 5.69056i | 0.356896 | + | 0.246717i | ||||
\(533\) | − | 16.6418i | − | 0.720837i | ||||||
\(534\) | 17.3849 | − | 6.00391i | 0.752319 | − | 0.259815i | ||||
\(535\) | 9.08674 | − | 15.7387i | 0.392854 | − | 0.680443i | ||||
\(536\) | 15.6198 | + | 30.4487i | 0.674675 | + | 1.31518i | ||||
\(537\) | 14.5070 | − | 8.37563i | 0.626024 | − | 0.361435i | ||||
\(538\) | −6.49680 | + | 33.5872i | −0.280097 | + | 1.44805i | ||||
\(539\) | 33.5240 | − | 23.0225i | 1.44398 | − | 0.991649i | ||||
\(540\) | −1.89609 | + | 4.71784i | −0.0815948 | + | 0.203023i | ||||
\(541\) | 3.98939 | − | 2.30327i | 0.171517 | − | 0.0990254i | −0.411784 | − | 0.911282i | \(-0.635094\pi\) |
0.583301 | + | 0.812256i | \(0.301761\pi\) | |||||||
\(542\) | −16.7434 | − | 14.5279i | −0.719190 | − | 0.624027i | ||||
\(543\) | −21.3927 | − | 12.3511i | −0.918050 | − | 0.530036i | ||||
\(544\) | −10.3387 | + | 22.4390i | −0.443270 | + | 0.962066i | ||||
\(545\) | − | 3.93204i | − | 0.168430i | ||||||
\(546\) | 16.0053 | − | 36.4473i | 0.684963 | − | 1.55980i | ||||
\(547\) | 4.27444 | 0.182762 | 0.0913808 | − | 0.995816i | \(-0.470872\pi\) | ||||
0.0913808 | + | 0.995816i | \(0.470872\pi\) | |||||||
\(548\) | −2.87568 | − | 20.1933i | −0.122843 | − | 0.862613i | ||||
\(549\) | 9.03171 | − | 15.6434i | 0.385464 | − | 0.667644i | ||||
\(550\) | 6.20577 | + | 5.38463i | 0.264615 | + | 0.229601i | ||||
\(551\) | −4.15022 | − | 7.18839i | −0.176805 | − | 0.306236i | ||||
\(552\) | −0.615305 | + | 0.953206i | −0.0261891 | + | 0.0405711i | ||||
\(553\) | 9.55590 | + | 30.7948i | 0.406358 | + | 1.30953i | ||||
\(554\) | −20.3590 | − | 3.93806i | −0.864971 | − | 0.167312i | ||||
\(555\) | −4.69103 | − | 8.12511i | −0.199123 | − | 0.344892i | ||||
\(556\) | −12.2651 | − | 15.6396i | −0.520158 | − | 0.663266i | ||||
\(557\) | 16.1482 | + | 9.32317i | 0.684221 | + | 0.395035i | 0.801443 | − | 0.598070i | \(-0.204066\pi\) |
−0.117222 | + | 0.993106i | \(0.537399\pi\) | |||||||
\(558\) | 10.0616 | − | 3.47481i | 0.425944 | − | 0.147100i | ||||
\(559\) | −10.1885 | −0.430926 | ||||||||
\(560\) | −0.636741 | − | 10.5638i | −0.0269072 | − | 0.446403i | ||||
\(561\) | −55.8515 | −2.35805 | ||||||||
\(562\) | −20.1071 | + | 6.94401i | −0.848165 | + | 0.292915i | ||||
\(563\) | −19.1853 | − | 11.0766i | −0.808565 | − | 0.466825i | 0.0378926 | − | 0.999282i | \(-0.487936\pi\) |
−0.846457 | + | 0.532457i | \(0.821269\pi\) | |||||||
\(564\) | 5.14435 | + | 6.55968i | 0.216616 | + | 0.276212i | ||||
\(565\) | −3.58320 | − | 6.20629i | −0.150746 | − | 0.261101i | ||||
\(566\) | −6.88461 | − | 1.33169i | −0.289382 | − | 0.0559753i | ||||
\(567\) | 21.6220 | + | 19.9945i | 0.908039 | + | 0.839688i | ||||
\(568\) | −20.9277 | − | 13.5090i | −0.878106 | − | 0.566827i | ||||
\(569\) | −0.619323 | − | 1.07270i | −0.0259634 | − | 0.0449699i | 0.852752 | − | 0.522316i | \(-0.174932\pi\) |
−0.878715 | + | 0.477346i | \(0.841599\pi\) | |||||||
\(570\) | 4.44657 | + | 3.85820i | 0.186246 | + | 0.161602i | ||||
\(571\) | 10.3953 | − | 18.0051i | 0.435028 | − | 0.753490i | −0.562270 | − | 0.826954i | \(-0.690072\pi\) |
0.997298 | + | 0.0734633i | \(0.0234052\pi\) | |||||||
\(572\) | 7.91781 | + | 55.5995i | 0.331060 | + | 2.32473i | ||||
\(573\) | 16.9928 | 0.709883 | ||||||||
\(574\) | −12.8055 | + | 1.41194i | −0.534490 | + | 0.0589331i | ||||
\(575\) | 0.182235i | 0.00759971i | ||||||||
\(576\) | 8.61004 | − | 11.9886i | 0.358752 | − | 0.499525i | ||||
\(577\) | −29.9908 | − | 17.3152i | −1.24853 | − | 0.720842i | −0.277717 | − | 0.960663i | \(-0.589578\pi\) |
−0.970817 | + | 0.239821i | \(0.922911\pi\) | |||||||
\(578\) | −2.21645 | − | 1.92317i | −0.0921922 | − | 0.0799935i | ||||
\(579\) | −44.6103 | + | 25.7558i | −1.85394 | + | 1.07037i | ||||
\(580\) | −3.27338 | + | 8.14478i | −0.135920 | + | 0.338194i | ||||
\(581\) | 43.7888 | + | 9.91675i | 1.81667 | + | 0.411416i | ||||
\(582\) | 7.82637 | − | 40.4609i | 0.324414 | − | 1.67716i | ||||
\(583\) | 49.6274 | − | 28.6524i | 2.05536 | − | 1.18666i | ||||
\(584\) | −21.3586 | + | 10.9567i | −0.883823 | + | 0.453391i | ||||
\(585\) | 4.45875 | − | 7.72278i | 0.184347 | − | 0.319298i | ||||
\(586\) | −3.43292 | + | 1.18556i | −0.141812 | + | 0.0489752i | ||||
\(587\) | − | 22.4911i | − | 0.928306i | −0.885755 | − | 0.464153i | \(-0.846359\pi\) | ||
0.885755 | − | 0.464153i | \(-0.153641\pi\) | |||||||
\(588\) | −29.4032 | − | 9.22339i | −1.21257 | − | 0.380366i | ||||
\(589\) | 7.71544i | 0.317909i | ||||||||
\(590\) | −3.38786 | − | 9.80989i | −0.139476 | − | 0.403867i | ||||
\(591\) | 22.4815 | − | 38.9392i | 0.924767 | − | 1.60174i | ||||
\(592\) | −4.75944 | − | 16.3717i | −0.195612 | − | 0.672873i | ||||
\(593\) | −3.70525 | + | 2.13923i | −0.152156 | + | 0.0878474i | −0.574145 | − | 0.818754i | \(-0.694665\pi\) |
0.421989 | + | 0.906601i | \(0.361332\pi\) | |||||||
\(594\) | −20.5079 | − | 3.96685i | −0.841448 | − | 0.162762i | ||||
\(595\) | 11.2699 | + | 2.55227i | 0.462021 | + | 0.104633i | ||||
\(596\) | 11.7604 | − | 29.2621i | 0.481724 | − | 1.19862i | ||||
\(597\) | 4.19719 | − | 2.42325i | 0.171780 | − | 0.0991771i | ||||
\(598\) | −0.816350 | + | 0.940841i | −0.0333830 | + | 0.0384738i | ||||
\(599\) | 5.50041 | + | 3.17566i | 0.224741 | + | 0.129754i | 0.608143 | − | 0.793827i | \(-0.291915\pi\) |
−0.383403 | + | 0.923581i | \(0.625248\pi\) | |||||||
\(600\) | 0.308759 | − | 6.21810i | 0.0126050 | − | 0.253853i | ||||
\(601\) | 3.72971i | 0.152138i | 0.997103 | + | 0.0760691i | \(0.0242369\pi\) | ||||
−0.997103 | + | 0.0760691i | \(0.975763\pi\) | |||||||
\(602\) | 0.864416 | + | 7.83977i | 0.0352310 | + | 0.319525i | ||||
\(603\) | 22.3229 | 0.909059 | ||||||||
\(604\) | −11.9839 | + | 1.70661i | −0.487620 | + | 0.0694409i | ||||
\(605\) | −11.3764 | + | 19.7046i | −0.462518 | + | 0.801105i | ||||
\(606\) | 5.03662 | − | 5.80469i | 0.204599 | − | 0.235799i | ||||
\(607\) | −9.66175 | − | 16.7346i | −0.392158 | − | 0.679238i | 0.600576 | − | 0.799568i | \(-0.294938\pi\) |
−0.992734 | + | 0.120330i | \(0.961605\pi\) | |||||||
\(608\) | 6.17630 | + | 8.73532i | 0.250482 | + | 0.354264i | ||||
\(609\) | 18.7661 | + | 17.3535i | 0.760440 | + | 0.703199i | ||||
\(610\) | 2.62946 | − | 13.5938i | 0.106464 | − | 0.550397i | ||||
\(611\) | 4.57626 | + | 7.92631i | 0.185136 | + | 0.320664i | ||||
\(612\) | 9.94530 | + | 12.6815i | 0.402015 | + | 0.512619i | ||||
\(613\) | −26.3430 | − | 15.2092i | −1.06399 | − | 0.614292i | −0.137453 | − | 0.990508i | \(-0.543892\pi\) |
−0.926532 | + | 0.376216i | \(0.877225\pi\) | |||||||
\(614\) | −6.66735 | − | 19.3060i | −0.269072 | − | 0.779126i | ||||
\(615\) | −7.57883 | −0.305608 | ||||||||
\(616\) | 42.1107 | − | 10.8098i | 1.69669 | − | 0.435538i | ||||
\(617\) | 9.32522 | 0.375419 | 0.187710 | − | 0.982225i | \(-0.439894\pi\) | ||||
0.187710 | + | 0.982225i | \(0.439894\pi\) | |||||||
\(618\) | −1.87042 | − | 5.41597i | −0.0752391 | − | 0.217862i | ||||
\(619\) | −9.29185 | − | 5.36465i | −0.373471 | − | 0.215624i | 0.301503 | − | 0.953465i | \(-0.402512\pi\) |
−0.674974 | + | 0.737842i | \(0.735845\pi\) | |||||||
\(620\) | 6.42041 | − | 5.03513i | 0.257850 | − | 0.202216i | ||||
\(621\) | −0.231647 | − | 0.401225i | −0.00929569 | − | 0.0161006i | ||||
\(622\) | 4.44066 | − | 22.9574i | 0.178054 | − | 0.920508i | ||||
\(623\) | −4.63296 | − | 14.9301i | −0.185616 | − | 0.598163i | ||||
\(624\) | 29.4490 | − | 30.7197i | 1.17891 | − | 1.22977i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −2.35251 | + | 2.71127i | −0.0940254 | + | 0.108364i | ||||
\(627\) | −12.0923 | + | 20.9445i | −0.482921 | + | 0.836444i | ||||
\(628\) | 5.75640 | + | 40.4219i | 0.229705 | + | 1.61301i | ||||
\(629\) | 18.6159 | 0.742264 | ||||||||
\(630\) | −6.32078 | − | 2.77568i | −0.251826 | − | 0.110586i | ||||
\(631\) | 7.84644i | 0.312362i | 0.987728 | + | 0.156181i | \(0.0499183\pi\) | ||||
−0.987728 | + | 0.156181i | \(0.950082\pi\) | |||||||
\(632\) | −1.70948 | + | 34.4272i | −0.0679994 | + | 1.36944i | ||||
\(633\) | −55.1595 | − | 31.8464i | −2.19239 | − | 1.26578i | ||||
\(634\) | 15.8853 | − | 18.3078i | 0.630887 | − | 0.727096i | ||||
\(635\) | 2.49594 | − | 1.44103i | 0.0990484 | − | 0.0571856i | ||||
\(636\) | −40.2901 | − | 16.1925i | −1.59761 | − | 0.642076i | ||||
\(637\) | −30.5321 | − | 14.5767i | −1.20972 | − | 0.577548i | ||||
\(638\) | −35.4044 | − | 6.84830i | −1.40167 | − | 0.271127i | ||||
\(639\) | −14.0715 | + | 8.12420i | −0.556661 | + | 0.321388i | ||||
\(640\) | 3.23842 | − | 10.8403i | 0.128010 | − | 0.428501i | ||||
\(641\) | 6.79977 | − | 11.7775i | 0.268575 | − | 0.465185i | −0.699919 | − | 0.714222i | \(-0.746781\pi\) |
0.968494 | + | 0.249037i | \(0.0801141\pi\) | |||||||
\(642\) | −18.4669 | − | 53.4728i | −0.728832 | − | 2.11040i | ||||
\(643\) | − | 5.68857i | − | 0.224335i | −0.993689 | − | 0.112168i | \(-0.964221\pi\) | ||
0.993689 | − | 0.112168i | \(-0.0357794\pi\) | |||||||
\(644\) | 0.793215 | + | 0.548338i | 0.0312571 | + | 0.0216075i | ||||
\(645\) | 4.63992i | 0.182697i | ||||||||
\(646\) | −11.0412 | + | 3.81311i | −0.434412 | + | 0.150025i | ||||
\(647\) | −0.225415 | + | 0.390431i | −0.00886200 | + | 0.0153494i | −0.870422 | − | 0.492306i | \(-0.836154\pi\) |
0.861560 | + | 0.507655i | \(0.169488\pi\) | |||||||
\(648\) | 14.3700 | + | 28.0123i | 0.564507 | + | 1.10043i | ||||
\(649\) | 36.9234 | − | 21.3178i | 1.44937 | − | 0.836795i | ||||
\(650\) | 1.29810 | − | 6.71095i | 0.0509158 | − | 0.263225i | ||||
\(651\) | −7.04127 | − | 22.6911i | −0.275969 | − | 0.889336i | ||||
\(652\) | 7.09884 | + | 2.85301i | 0.278012 | + | 0.111733i | ||||
\(653\) | −3.69894 | + | 2.13559i | −0.144751 | + | 0.0835720i | −0.570626 | − | 0.821210i | \(-0.693300\pi\) |
0.425875 | + | 0.904782i | \(0.359966\pi\) | |||||||
\(654\) | −9.24497 | − | 8.02169i | −0.361507 | − | 0.313673i | ||||
\(655\) | −6.92953 | − | 4.00076i | −0.270759 | − | 0.156323i | ||||
\(656\) | −13.3756 | − | 3.28294i | −0.522229 | − | 0.128177i | ||||
\(657\) | 15.6586i | 0.610901i | ||||||||
\(658\) | 5.71084 | − | 4.19381i | 0.222632 | − | 0.163492i | ||||
\(659\) | 15.5436 | 0.605493 | 0.302746 | − | 0.953071i | \(-0.402097\pi\) | ||||
0.302746 | + | 0.953071i | \(0.402097\pi\) | |||||||
\(660\) | 25.3205 | − | 3.60585i | 0.985601 | − | 0.140357i | ||||
\(661\) | −14.4897 | + | 25.0969i | −0.563583 | + | 0.976155i | 0.433597 | + | 0.901107i | \(0.357244\pi\) |
−0.997180 | + | 0.0750479i | \(0.976089\pi\) | |||||||
\(662\) | 25.4283 | + | 22.0636i | 0.988297 | + | 0.857527i | ||||
\(663\) | 23.2324 | + | 40.2398i | 0.902273 | + | 1.56278i | ||||
\(664\) | 40.3259 | + | 26.0308i | 1.56495 | + | 1.01019i | ||||
\(665\) | 3.39715 | − | 3.67367i | 0.131736 | − | 0.142459i | ||||
\(666\) | −10.9191 | − | 2.11209i | −0.423107 | − | 0.0818420i | ||||
\(667\) | −0.399912 | − | 0.692668i | −0.0154846 | − | 0.0268202i | ||||
\(668\) | −34.0768 | + | 26.7243i | −1.31847 | + | 1.03400i | ||||
\(669\) | −21.0707 | − | 12.1652i | −0.814641 | − | 0.470333i | ||||
\(670\) | 16.1734 | − | 5.58550i | 0.624832 | − | 0.215787i | ||||
\(671\) | 56.8797 | 2.19582 | ||||||||
\(672\) | −26.1366 | − | 20.0540i | −1.00824 | − | 0.773599i | ||||
\(673\) | 32.3539 | 1.24715 | 0.623576 | − | 0.781763i | \(-0.285679\pi\) | ||||
0.623576 | + | 0.781763i | \(0.285679\pi\) | |||||||
\(674\) | −1.64038 | + | 0.566508i | −0.0631851 | + | 0.0218211i | ||||
\(675\) | 2.20170 | + | 1.27115i | 0.0847433 | + | 0.0489266i | ||||
\(676\) | 16.3057 | − | 12.7875i | 0.627142 | − | 0.491829i | ||||
\(677\) | −22.4527 | − | 38.8892i | −0.862927 | − | 1.49463i | −0.869091 | − | 0.494652i | \(-0.835295\pi\) |
0.00616405 | − | 0.999981i | \(-0.498038\pi\) | |||||||
\(678\) | −21.9022 | − | 4.23655i | −0.841148 | − | 0.162704i | ||||
\(679\) | −34.1616 | − | 7.73649i | −1.31100 | − | 0.296899i | ||||
\(680\) | 10.3786 | + | 6.69953i | 0.398003 | + | 0.256915i | ||||
\(681\) | 9.04722 | + | 15.6703i | 0.346690 | + | 0.600485i | ||||
\(682\) | 25.3174 | + | 21.9674i | 0.969453 | + | 0.841176i | ||||
\(683\) | 5.62256 | − | 9.73856i | 0.215141 | − | 0.372636i | −0.738175 | − | 0.674609i | \(-0.764312\pi\) |
0.953316 | + | 0.301974i | \(0.0976454\pi\) | |||||||
\(684\) | 6.90885 | − | 0.983875i | 0.264167 | − | 0.0376194i | ||||
\(685\) | −10.1985 | −0.389665 | ||||||||
\(686\) | −8.62595 | + | 24.7304i | −0.329340 | + | 0.944211i | ||||
\(687\) | 22.1754i | 0.846043i | ||||||||
\(688\) | −2.00989 | + | 8.18881i | −0.0766261 | + | 0.312195i | ||||
\(689\) | −41.2868 | − | 23.8369i | −1.57290 | − | 0.908115i | ||||
\(690\) | 0.428468 | + | 0.371773i | 0.0163115 | + | 0.0141532i | ||||
\(691\) | −8.53812 | + | 4.92949i | −0.324805 | + | 0.187527i | −0.653533 | − | 0.756898i | \(-0.726714\pi\) |
0.328727 | + | 0.944425i | \(0.393380\pi\) | |||||||
\(692\) | 19.3056 | + | 7.75889i | 0.733889 | + | 0.294949i | ||||
\(693\) | 6.26394 | − | 27.6593i | 0.237948 | − | 1.05069i | ||||
\(694\) | 8.31689 | − | 42.9968i | 0.315705 | − | 1.63213i | ||||
\(695\) | −8.60629 | + | 4.96884i | −0.326455 | + | 0.188479i | ||||
\(696\) | 12.4720 | + | 24.3123i | 0.472748 | + | 0.921557i | ||||
\(697\) | 7.51896 | − | 13.0232i | 0.284801 | − | 0.493289i | ||||
\(698\) | 35.6611 | − | 12.3156i | 1.34979 | − | 0.466153i | ||||
\(699\) | 16.2249i | 0.613681i | ||||||||
\(700\) | −5.27404 | − | 0.429483i | −0.199340 | − | 0.0162329i | ||||
\(701\) | − | 6.00307i | − | 0.226733i | −0.993553 | − | 0.113366i | \(-0.963837\pi\) | ||
0.993553 | − | 0.113366i | \(-0.0361634\pi\) | |||||||
\(702\) | 5.67259 | + | 16.4255i | 0.214098 | + | 0.619942i | ||||
\(703\) | 4.03050 | − | 6.98103i | 0.152013 | − | 0.263294i | ||||
\(704\) | 46.2492 | + | 4.60435i | 1.74308 | + | 0.173533i | ||||
\(705\) | 3.60972 | − | 2.08407i | 0.135950 | − | 0.0784907i | ||||
\(706\) | 19.4800 | + | 3.76802i | 0.733138 | + | 0.141811i | ||||
\(707\) | −4.79573 | − | 4.43474i | −0.180362 | − | 0.166785i | ||||
\(708\) | −29.9764 | − | 12.0475i | −1.12658 | − | 0.452772i | ||||
\(709\) | −10.2323 | + | 5.90764i | −0.384283 | + | 0.221866i | −0.679680 | − | 0.733508i | \(-0.737881\pi\) |
0.295397 | + | 0.955375i | \(0.404548\pi\) | |||||||
\(710\) | −8.16230 | + | 9.40703i | −0.306326 | + | 0.353040i | ||||
\(711\) | 19.4724 | + | 11.2424i | 0.730272 | + | 0.421623i | ||||
\(712\) | 0.828801 | − | 16.6912i | 0.0310606 | − | 0.625530i | ||||
\(713\) | 0.743454i | 0.0278426i | ||||||||
\(714\) | 28.9924 | − | 21.2908i | 1.08501 | − | 0.796790i | ||||
\(715\) | 28.0802 | 1.05014 | ||||||||
\(716\) | −2.14588 | − | 15.0685i | −0.0801952 | − | 0.563137i | ||||
\(717\) | 23.0607 | − | 39.9423i | 0.861217 | − | 1.49167i | ||||
\(718\) | −11.2548 | + | 12.9711i | −0.420025 | + | 0.484077i | ||||
\(719\) | 3.06796 | + | 5.31386i | 0.114415 | + | 0.198173i | 0.917546 | − | 0.397630i | \(-0.130167\pi\) |
−0.803130 | + | 0.595803i | \(0.796834\pi\) | |||||||
\(720\) | −5.32748 | − | 5.10713i | −0.198543 | − | 0.190331i | ||||
\(721\) | −4.65122 | + | 1.44332i | −0.173221 | + | 0.0537520i | ||||
\(722\) | 4.14231 | − | 21.4150i | 0.154161 | − | 0.796983i | ||||
\(723\) | −3.07708 | − | 5.32966i | −0.114438 | − | 0.198212i | ||||
\(724\) | −17.6615 | + | 13.8508i | −0.656386 | + | 0.514762i | ||||
\(725\) | 3.80097 | + | 2.19449i | 0.141164 | + | 0.0815013i | ||||
\(726\) | 23.1203 | + | 66.9471i | 0.858074 | + | 2.48464i | ||||
\(727\) | −14.8986 | −0.552558 | −0.276279 | − | 0.961077i | \(-0.589101\pi\) | ||||
−0.276279 | + | 0.961077i | \(0.589101\pi\) | |||||||
\(728\) | −25.3049 | − | 25.8433i | −0.937862 | − | 0.957816i | ||||
\(729\) | 3.74887 | 0.138847 | ||||||||
\(730\) | 3.91801 | + | 11.3450i | 0.145012 | + | 0.419896i | ||||
\(731\) | −7.97308 | − | 4.60326i | −0.294895 | − | 0.170258i | ||||
\(732\) | −26.5973 | − | 33.9148i | −0.983063 | − | 1.25353i | ||||
\(733\) | 23.7602 | + | 41.1539i | 0.877604 | + | 1.52006i | 0.853962 | + | 0.520335i | \(0.174193\pi\) |
0.0236421 | + | 0.999720i | \(0.492474\pi\) | |||||||
\(734\) | −3.09173 | + | 15.9837i | −0.114118 | + | 0.589968i | ||||
\(735\) | −6.63835 | + | 13.9046i | −0.244859 | + | 0.512879i | ||||
\(736\) | 0.595144 | + | 0.841728i | 0.0219373 | + | 0.0310265i | ||||
\(737\) | 35.1462 | + | 60.8750i | 1.29463 | + | 2.24236i | ||||
\(738\) | −5.88781 | + | 6.78568i | −0.216733 | + | 0.249784i | ||||
\(739\) | 1.95274 | − | 3.38225i | 0.0718328 | − | 0.124418i | −0.827872 | − | 0.560917i | \(-0.810449\pi\) |
0.899705 | + | 0.436499i | \(0.143782\pi\) | |||||||
\(740\) | −8.43959 | + | 1.20187i | −0.310246 | + | 0.0441814i | ||||
\(741\) | 20.1201 | 0.739130 | ||||||||
\(742\) | −14.8390 | + | 33.7915i | −0.544759 | + | 1.24053i | ||||
\(743\) | 48.0392i | 1.76239i | 0.472755 | + | 0.881194i | \(0.343259\pi\) | ||||
−0.472755 | + | 0.881194i | \(0.656741\pi\) | |||||||
\(744\) | 1.25963 | − | 25.3677i | 0.0461803 | − | 0.930024i | ||||
\(745\) | −13.6559 | − | 7.88422i | −0.500312 | − | 0.288855i | ||||
\(746\) | −21.7511 | + | 25.0680i | −0.796363 | + | 0.917806i | ||||
\(747\) | 27.1146 | − | 15.6546i | 0.992073 | − | 0.572773i | ||||
\(748\) | −18.9243 | + | 47.0873i | −0.691942 | + | 1.72168i | ||||
\(749\) | −45.9223 | + | 14.2501i | −1.67797 | + | 0.520688i | ||||
\(750\) | −3.05623 | − | 0.591168i | −0.111598 | − | 0.0215864i | ||||
\(751\) | −0.139857 | + | 0.0807464i | −0.00510345 | + | 0.00294648i | −0.502550 | − | 0.864548i | \(-0.667605\pi\) |
0.497446 | + | 0.867495i | \(0.334271\pi\) | |||||||
\(752\) | 7.27341 | − | 2.11446i | 0.265234 | − | 0.0771066i | ||||
\(753\) | −20.6529 | + | 35.7718i | −0.752633 | + | 1.30360i | ||||
\(754\) | 9.79305 | + | 28.3568i | 0.356642 | + | 1.03269i | ||||
\(755\) | 6.05243i | 0.220270i | ||||||||
\(756\) | 12.1578 | − | 5.75851i | 0.442174 | − | 0.209435i | ||||
\(757\) | 17.0175i | 0.618513i | 0.950979 | + | 0.309257i | \(0.100080\pi\) | ||||
−0.950979 | + | 0.309257i | \(0.899920\pi\) | |||||||
\(758\) | 20.8068 | − | 7.18567i | 0.755738 | − | 0.260995i | ||||
\(759\) | −1.16521 | + | 2.01820i | −0.0422944 | + | 0.0732560i | ||||
\(760\) | 4.75942 | − | 2.44153i | 0.172642 | − | 0.0885635i | ||||
\(761\) | 23.5345 | − | 13.5876i | 0.853125 | − | 0.492552i | −0.00857924 | − | 0.999963i | \(-0.502731\pi\) |
0.861704 | + | 0.507411i | \(0.169398\pi\) | |||||||
\(762\) | 1.70379 | − | 8.80825i | 0.0617216 | − | 0.319089i | ||||
\(763\) | −7.06309 | + | 7.63803i | −0.255701 | + | 0.276515i | ||||
\(764\) | 5.75771 | − | 14.3263i | 0.208307 | − | 0.518306i | ||||
\(765\) | 6.97848 | − | 4.02903i | 0.252308 | − | 0.145670i | ||||
\(766\) | 15.9359 | + | 13.8272i | 0.575786 | + | 0.499599i | ||||
\(767\) | −30.7179 | − | 17.7350i | −1.10916 | − | 0.640374i | ||||
\(768\) | −18.8810 | − | 29.7293i | −0.681309 | − | 1.07276i | ||||
\(769\) | 16.2516i | 0.586049i | 0.956105 | + | 0.293025i | \(0.0946618\pi\) | ||||
−0.956105 | + | 0.293025i | \(0.905338\pi\) | |||||||
\(770\) | −2.38240 | − | 21.6070i | −0.0858559 | − | 0.778664i | ||||
\(771\) | −17.1959 | −0.619296 | ||||||||
\(772\) | 6.59876 | + | 46.3370i | 0.237494 | + | 1.66771i | ||||
\(773\) | −2.07903 | + | 3.60098i | −0.0747774 | + | 0.129518i | −0.900989 | − | 0.433841i | \(-0.857158\pi\) |
0.826212 | + | 0.563359i | \(0.190491\pi\) | |||||||
\(774\) | 4.15433 | + | 3.60464i | 0.149324 | + | 0.129566i | ||||
\(775\) | −2.03983 | − | 3.53308i | −0.0732727 | − | 0.126912i | ||||
\(776\) | −31.4599 | − | 20.3077i | −1.12935 | − | 0.729005i | ||||
\(777\) | −5.48268 | + | 24.2095i | −0.196690 | + | 0.868513i | ||||
\(778\) | 17.5597 | + | 3.39659i | 0.629547 | + | 0.121774i | ||||
\(779\) | −3.25584 | − | 5.63928i | −0.116652 | − | 0.202048i | ||||
\(780\) | −13.1305 | − | 16.7430i | −0.470146 | − | 0.599494i | ||||
\(781\) | −44.3097 | − | 25.5822i | −1.58552 | − | 0.915403i | ||||
\(782\) | −1.06393 | + | 0.367428i | −0.0380459 | + | 0.0131392i | ||||
\(783\) | −11.1581 | −0.398758 | ||||||||
\(784\) | −17.7388 | + | 21.6641i | −0.633530 | + | 0.773718i | ||||
\(785\) | 20.4149 | 0.728637 | ||||||||
\(786\) | −23.5433 | + | 8.13073i | −0.839763 | + | 0.290014i | ||||
\(787\) | 0.346588 | + | 0.200103i | 0.0123545 | + | 0.00713289i | 0.506165 | − | 0.862437i | \(-0.331063\pi\) |
−0.493810 | + | 0.869570i | \(0.664396\pi\) | |||||||
\(788\) | −25.2114 | − | 32.1476i | −0.898118 | − | 1.14521i | ||||
\(789\) | 6.40478 | + | 11.0934i | 0.228016 | + | 0.394936i | ||||
\(790\) | 16.9211 | + | 3.27307i | 0.602027 | + | 0.116451i | ||||
\(791\) | −4.18790 | + | 18.4922i | −0.148904 | + | 0.657509i | ||||
\(792\) | 16.4424 | − | 25.4719i | 0.584256 | − | 0.905106i | ||||
\(793\) | −23.6601 | − | 40.9806i | −0.840196 | − | 1.45526i | ||||
\(794\) | −16.2714 | − | 14.1184i | −0.577451 | − | 0.501043i | ||||
\(795\) | −10.8556 | + | 18.8024i | −0.385007 | + | 0.666852i | ||||
\(796\) | −0.620849 | − | 4.35965i | −0.0220054 | − | 0.154524i | ||||
\(797\) | 4.32443 | 0.153179 | 0.0765895 | − | 0.997063i | \(-0.475597\pi\) | ||||
0.0765895 | + | 0.997063i | \(0.475597\pi\) | |||||||
\(798\) | −1.70704 | − | 15.4819i | −0.0604287 | − | 0.548054i | ||||
\(799\) | 8.27042i | 0.292586i | ||||||||
\(800\) | −5.13774 | − | 2.36720i | −0.181646 | − | 0.0836933i | ||||
\(801\) | −9.44075 | − | 5.45062i | −0.333572 | − | 0.192588i | ||||
\(802\) | 16.5266 | + | 14.3398i | 0.583574 | + | 0.506356i | ||||
\(803\) | −42.7014 | + | 24.6536i | −1.50690 | + | 0.870008i | ||||
\(804\) | 19.8624 | − | 49.4215i | 0.700494 | − | 1.74296i | ||||
\(805\) | 0.327346 | − | 0.353992i | 0.0115374 | − | 0.0124766i | ||||
\(806\) | 5.29581 | − | 27.3783i | 0.186537 | − | 0.964361i | ||||
\(807\) | 46.1120 | − | 26.6228i | 1.62322 | − | 0.937165i | ||||
\(808\) | −3.18725 | − | 6.21309i | −0.112127 | − | 0.218576i | ||||
\(809\) | −18.2699 | + | 31.6444i | −0.642335 | + | 1.11256i | 0.342576 | + | 0.939490i | \(0.388701\pi\) |
−0.984910 | + | 0.173066i | \(0.944633\pi\) | |||||||
\(810\) | 14.8792 | − | 5.13857i | 0.522804 | − | 0.180551i | ||||
\(811\) | 17.6473i | 0.619680i | 0.950789 | + | 0.309840i | \(0.100275\pi\) | ||||
−0.950789 | + | 0.309840i | \(0.899725\pi\) | |||||||
\(812\) | 20.9890 | − | 9.94138i | 0.736568 | − | 0.348874i | ||||
\(813\) | 34.5025i | 1.21005i | ||||||||
\(814\) | −11.4318 | − | 33.1020i | −0.400686 | − | 1.16023i | ||||
\(815\) | 1.91267 | − | 3.31285i | 0.0669981 | − | 0.116044i | ||||
\(816\) | 36.9251 | − | 10.7346i | 1.29264 | − | 0.375785i | ||||
\(817\) | −3.45248 | + | 1.99329i | −0.120787 | + | 0.0697364i | ||||
\(818\) | 11.9773 | + | 2.31679i | 0.418778 | + | 0.0810045i | ||||
\(819\) | −22.5335 | + | 6.99236i | −0.787385 | + | 0.244333i | ||||
\(820\) | −2.56796 | + | 6.38957i | −0.0896770 | + | 0.223133i | ||||
\(821\) | 37.1429 | − | 21.4445i | 1.29630 | − | 0.748418i | 0.316535 | − | 0.948581i | \(-0.397480\pi\) |
0.979763 | + | 0.200163i | \(0.0641471\pi\) | |||||||
\(822\) | −20.8058 | + | 23.9786i | −0.725684 | + | 0.836349i | ||||
\(823\) | 31.2832 | + | 18.0614i | 1.09046 | + | 0.629580i | 0.933700 | − | 0.358056i | \(-0.116560\pi\) |
0.156764 | + | 0.987636i | \(0.449894\pi\) | |||||||
\(824\) | −5.19986 | − | 0.258199i | −0.181146 | − | 0.00899477i | ||||
\(825\) | − | 12.7880i | − | 0.445221i | ||||||
\(826\) | −11.0405 | + | 25.1414i | −0.384147 | + | 0.874781i | ||||
\(827\) | −7.53954 | −0.262176 | −0.131088 | − | 0.991371i | \(-0.541847\pi\) | ||||
−0.131088 | + | 0.991371i | \(0.541847\pi\) | |||||||
\(828\) | 0.665732 | − | 0.0948055i | 0.0231358 | − | 0.00329472i | ||||
\(829\) | 28.0133 | − | 48.5204i | 0.972941 | − | 1.68518i | 0.286370 | − | 0.958119i | \(-0.407551\pi\) |
0.686570 | − | 0.727063i | \(-0.259115\pi\) | |||||||
\(830\) | 15.7281 | − | 18.1266i | 0.545929 | − | 0.629182i | ||||
\(831\) | 16.1375 | + | 27.9509i | 0.559802 | + | 0.969606i | ||||
\(832\) | −15.9208 | − | 35.2367i | −0.551956 | − | 1.22161i | ||||
\(833\) | −17.3073 | − | 25.2018i | −0.599662 | − | 0.873192i | ||||
\(834\) | −5.87485 | + | 30.3718i | −0.203429 | + | 1.05169i | ||||
\(835\) | 10.8265 | + | 18.7521i | 0.374667 | + | 0.648943i | ||||
\(836\) | 13.5607 | + | 17.2915i | 0.469005 | + | 0.598039i | ||||
\(837\) | 8.98215 | + | 5.18585i | 0.310469 | + | 0.179249i | ||||
\(838\) | −4.93490 | − | 14.2895i | −0.170473 | − | 0.493623i | ||||
\(839\) | −33.7497 | −1.16517 | −0.582584 | − | 0.812770i | \(-0.697958\pi\) | ||||
−0.582584 | + | 0.812770i | \(0.697958\pi\) | |||||||
\(840\) | −11.7693 | + | 11.5241i | −0.406079 | + | 0.397619i | ||||
\(841\) | 9.73688 | 0.335755 | ||||||||
\(842\) | −9.46105 | − | 27.3954i | −0.326049 | − | 0.944108i | ||||
\(843\) | 28.6733 | + | 16.5546i | 0.987562 | + | 0.570169i | ||||
\(844\) | −45.5389 | + | 35.7133i | −1.56751 | + | 1.22930i | ||||
\(845\) | −5.18047 | − | 8.97285i | −0.178214 | − | 0.308675i | ||||
\(846\) | 0.938334 | − | 4.85101i | 0.0322606 | − | 0.166781i | ||||
\(847\) | 57.4940 | − | 17.8409i | 1.97552 | − | 0.613021i | ||||
\(848\) | −27.3032 | + | 28.4812i | −0.937596 | + | 0.978050i | ||||
\(849\) | 5.45705 | + | 9.45188i | 0.187285 | + | 0.324388i | ||||
\(850\) | 4.04793 | − | 4.66522i | 0.138843 | − | 0.160016i | ||||
\(851\) | 0.388376 | − | 0.672687i | 0.0133133 | − | 0.0230594i | ||||
\(852\) | 5.46593 | + | 38.3822i | 0.187260 | + | 1.31495i | ||||
\(853\) | −53.4433 | −1.82987 | −0.914933 | − | 0.403607i | \(-0.867756\pi\) | ||||
−0.914933 | + | 0.403607i | \(0.867756\pi\) | |||||||
\(854\) | −29.5262 | + | 21.6828i | −1.01036 | + | 0.741970i | ||||
\(855\) | − | 3.48928i | − | 0.119331i | ||||||
\(856\) | −51.3391 | − | 2.54924i | −1.75473 | − | 0.0871312i | ||||
\(857\) | 30.9412 | + | 17.8639i | 1.05693 | + | 0.610220i | 0.924582 | − | 0.380983i | \(-0.124414\pi\) |
0.132350 | + | 0.991203i | \(0.457748\pi\) | |||||||
\(858\) | 57.2860 | − | 66.0219i | 1.95571 | − | 2.25395i | ||||
\(859\) | 4.24262 | − | 2.44948i | 0.144756 | − | 0.0835751i | −0.425873 | − | 0.904783i | \(-0.640033\pi\) |
0.570629 | + | 0.821208i | \(0.306700\pi\) | |||||||
\(860\) | 3.91182 | + | 1.57216i | 0.133392 | + | 0.0536101i | ||||
\(861\) | 14.7220 | + | 13.6138i | 0.501723 | + | 0.463957i | ||||
\(862\) | −33.5956 | − | 6.49842i | −1.14427 | − | 0.221337i | ||||
\(863\) | −27.0242 | + | 15.6024i | −0.919914 | + | 0.531113i | −0.883608 | − | 0.468228i | \(-0.844893\pi\) |
−0.0363065 | + | 0.999341i | \(0.511559\pi\) | |||||||
\(864\) | 14.3208 | − | 1.31897i | 0.487204 | − | 0.0448723i | ||||
\(865\) | 5.20160 | − | 9.00944i | 0.176860 | − | 0.306330i | ||||
\(866\) | 9.36907 | + | 27.1291i | 0.318374 | + | 0.921883i | ||||
\(867\) | 4.56736i | 0.155116i | ||||||||
\(868\) | −21.5163 | − | 1.75214i | −0.730310 | − | 0.0594716i | ||||
\(869\) | 70.8021i | 2.40180i | ||||||||
\(870\) | 12.9139 | − | 4.45985i | 0.437823 | − | 0.151203i | ||||
\(871\) | 29.2394 | − | 50.6441i | 0.990738 | − | 1.71601i | ||||
\(872\) | −9.89543 | + | 5.07625i | −0.335102 | + | 0.171903i | ||||
\(873\) | −21.1533 | + | 12.2129i | −0.715931 | + | 0.413343i | ||||
\(874\) | −0.0925619 | + | 0.478528i | −0.00313095 | + | 0.0161864i | ||||
\(875\) | −0.584379 | + | 2.58041i | −0.0197556 | + | 0.0872337i | ||||
\(876\) | 34.6672 | + | 13.9327i | 1.17130 | + | 0.470742i | ||||
\(877\) | 4.65217 | − | 2.68593i | 0.157092 | − | 0.0906974i | −0.419393 | − | 0.907805i | \(-0.637757\pi\) |
0.576485 | + | 0.817107i | \(0.304424\pi\) | |||||||
\(878\) | 5.38852 | + | 4.67552i | 0.181854 | + | 0.157791i | ||||
\(879\) | 4.89545 | + | 2.82639i | 0.165120 | + | 0.0953318i | ||||
\(880\) | 5.53941 | − | 22.5690i | 0.186733 | − | 0.760802i | ||||
\(881\) | − | 12.9255i | − | 0.435471i | −0.976008 | − | 0.217736i | \(-0.930133\pi\) | ||
0.976008 | − | 0.217736i | \(-0.0698670\pi\) | |||||||
\(882\) | 7.29226 | + | 16.7457i | 0.245543 | + | 0.563858i | ||||
\(883\) | 42.5290 | 1.43122 | 0.715608 | − | 0.698502i | \(-0.246150\pi\) | ||||
0.715608 | + | 0.698502i | \(0.246150\pi\) | |||||||
\(884\) | 41.7973 | − | 5.95226i | 1.40579 | − | 0.200196i | ||||
\(885\) | −8.07669 | + | 13.9892i | −0.271495 | + | 0.470243i | ||||
\(886\) | 8.64569 | + | 7.50170i | 0.290458 | + | 0.252025i | ||||
\(887\) | −19.2391 | − | 33.3231i | −0.645987 | − | 1.11888i | −0.984073 | − | 0.177766i | \(-0.943113\pi\) |
0.338086 | − | 0.941115i | \(-0.390220\pi\) | |||||||
\(888\) | −14.3916 | + | 22.2950i | −0.482952 | + | 0.748170i | ||||
\(889\) | −7.43690 | − | 1.68422i | −0.249426 | − | 0.0564868i | ||||
\(890\) | −8.20382 | − | 1.58687i | −0.274993 | − | 0.0531920i | ||||
\(891\) | 32.3339 | + | 56.0040i | 1.08323 | + | 1.87620i | ||||
\(892\) | −17.3957 | + | 13.6423i | −0.582450 | + | 0.456779i | ||||
\(893\) | 3.10144 | + | 1.79062i | 0.103786 | + | 0.0599207i | ||||
\(894\) | −46.3964 | + | 16.0231i | −1.55173 | + | 0.535891i | ||||
\(895\) | −7.61028 | −0.254383 | ||||||||
\(896\) | −25.7630 | + | 15.2403i | −0.860683 | + | 0.509142i | ||||
\(897\) | 1.93876 | 0.0647332 | ||||||||
\(898\) | 5.42431 | − | 1.87330i | 0.181012 | − | 0.0625127i | ||||
\(899\) | 15.5066 | + | 8.95275i | 0.517175 | + | 0.298591i | ||||
\(900\) | −2.90361 | + | 2.27712i | −0.0967869 | + | 0.0759039i | ||||
\(901\) | −21.5396 | − | 37.3077i | −0.717588 | − | 1.24290i | ||||
\(902\) | −27.7747 | − | 5.37248i | −0.924796 | − | 0.178884i | ||||
\(903\) | 8.33464 | − | 9.01308i | 0.277359 | − | 0.299937i | ||||
\(904\) | −10.9929 | + | 17.0298i | −0.365619 | + | 0.566403i | ||||
\(905\) | 5.61124 | + | 9.71894i | 0.186524 | + | 0.323069i | ||||
\(906\) | 14.2304 | + | 12.3474i | 0.472773 | + | 0.410216i | ||||
\(907\) | 29.8056 | − | 51.6248i | 0.989679 | − | 1.71417i | 0.370738 | − | 0.928737i | \(-0.379105\pi\) |
0.618941 | − | 0.785438i | \(-0.287562\pi\) | |||||||
\(908\) | 16.2768 | − | 2.31794i | 0.540164 | − | 0.0769236i | ||||
\(909\) | −4.55501 | −0.151080 | ||||||||
\(910\) | −14.5764 | + | 10.7043i | −0.483203 | + | 0.354844i | ||||
\(911\) | − | 40.9457i | − | 1.35659i | −0.734790 | − | 0.678295i | \(-0.762719\pi\) | ||
0.734790 | − | 0.678295i | \(-0.237281\pi\) | |||||||
\(912\) | 3.96911 | − | 16.1712i | 0.131430 | − | 0.535482i | ||||
\(913\) | 85.3810 | + | 49.2947i | 2.82570 | + | 1.63142i | ||||
\(914\) | 5.78380 | + | 5.01849i | 0.191311 | + | 0.165997i | ||||
\(915\) | −18.6629 | + | 10.7751i | −0.616978 | + | 0.356212i | ||||
\(916\) | 18.6956 | + | 7.51374i | 0.617721 | + | 0.248261i | ||||
\(917\) | 6.27413 | + | 20.2190i | 0.207190 | + | 0.667689i | ||||
\(918\) | −2.98210 | + | 15.4169i | −0.0984241 | + | 0.508834i | ||||
\(919\) | 22.8509 | − | 13.1930i | 0.753781 | − | 0.435196i | −0.0732776 | − | 0.997312i | \(-0.523346\pi\) |
0.827058 | + | 0.562116i | \(0.190013\pi\) | |||||||
\(920\) | 0.458614 | − | 0.235264i | 0.0151200 | − | 0.00775642i | ||||
\(921\) | −15.8950 | + | 27.5310i | −0.523759 | + | 0.907177i | ||||
\(922\) | −25.2771 | + | 8.72949i | −0.832457 | + | 0.287490i | ||||
\(923\) | 42.5655i | 1.40106i | ||||||||
\(924\) | −55.6625 | − | 38.4787i | −1.83116 | − | 1.26585i | ||||
\(925\) | 4.26237i | 0.140146i | ||||||||
\(926\) | 0.140701 | + | 0.407415i | 0.00462373 | + | 0.0133885i | ||||
\(927\) | −1.69805 | + | 2.94110i | −0.0557711 | + | 0.0965984i | ||||
\(928\) | 24.7232 | − | 2.27705i | 0.811578 | − | 0.0747477i | ||||
\(929\) | −38.7083 | + | 22.3482i | −1.26998 | + | 0.733222i | −0.974984 | − | 0.222277i | \(-0.928651\pi\) |
−0.294994 | + | 0.955499i | \(0.595318\pi\) | |||||||
\(930\) | −12.4684 | − | 2.41176i | −0.408853 | − | 0.0790848i | ||||
\(931\) | −13.1980 | + | 1.03388i | −0.432546 | + | 0.0338842i | ||||
\(932\) | 13.6789 | + | 5.49752i | 0.448067 | + | 0.180077i | ||||
\(933\) | −31.5182 | + | 18.1971i | −1.03186 | + | 0.595745i | ||||
\(934\) | 3.58915 | − | 4.13648i | 0.117441 | − | 0.135350i | ||||
\(935\) | 21.9745 | + | 12.6870i | 0.718642 | + | 0.414908i | ||||
\(936\) | −25.1915 | − | 1.25088i | −0.823409 | − | 0.0408863i | ||||
\(937\) | 14.4033i | 0.470535i | 0.971931 | + | 0.235268i | \(0.0755967\pi\) | ||||
−0.971931 | + | 0.235268i | \(0.924403\pi\) | |||||||
\(938\) | −41.4501 | − | 18.2022i | −1.35339 | − | 0.594322i | ||||
\(939\) | 5.58701 | 0.182325 | ||||||||
\(940\) | −0.533949 | − | 3.74943i | −0.0174155 | − | 0.122293i | ||||
\(941\) | −5.58349 | + | 9.67088i | −0.182016 | + | 0.315262i | −0.942567 | − | 0.334017i | \(-0.891596\pi\) |
0.760551 | + | 0.649279i | \(0.224929\pi\) | |||||||
\(942\) | 41.6480 | − | 47.9991i | 1.35696 | − | 1.56390i | ||||
\(943\) | −0.313730 | − | 0.543396i | −0.0102165 | − | 0.0176954i | ||||
\(944\) | −20.3140 | + | 21.1904i | −0.661164 | + | 0.689690i | ||||
\(945\) | −1.99346 | − | 6.42410i | −0.0648472 | − | 0.208976i | ||||
\(946\) | −3.28914 | + | 17.0042i | −0.106939 | + | 0.552856i | ||||
\(947\) | −10.3303 | − | 17.8927i | −0.335691 | − | 0.581434i | 0.647926 | − | 0.761703i | \(-0.275636\pi\) |
−0.983617 | + | 0.180269i | \(0.942303\pi\) | |||||||
\(948\) | 42.2161 | − | 33.1075i | 1.37111 | − | 1.07528i | ||||
\(949\) | 35.5248 | + | 20.5102i | 1.15318 | + | 0.665791i | ||||
\(950\) | −0.873066 | − | 2.52805i | −0.0283260 | − | 0.0820207i | ||||
\(951\) | −37.7262 | −1.22336 | ||||||||
\(952\) | −8.12631 | − | 31.6570i | −0.263375 | − | 1.02601i | ||||
\(953\) | 29.6708 | 0.961132 | 0.480566 | − | 0.876959i | \(-0.340431\pi\) | ||||
0.480566 | + | 0.876959i | \(0.340431\pi\) | |||||||
\(954\) | 8.40123 | + | 24.3266i | 0.272000 | + | 0.787602i | ||||
\(955\) | −6.68571 | − | 3.86000i | −0.216344 | − | 0.124907i | ||||
\(956\) | −25.8608 | − | 32.9758i | −0.836399 | − | 1.06651i | ||||
\(957\) | 28.0631 | + | 48.6067i | 0.907152 | + | 1.57123i | ||||
\(958\) | 8.84916 | − | 45.7485i | 0.285904 | − | 1.47807i | ||||
\(959\) | 19.8107 | + | 18.3195i | 0.639720 | + | 0.591566i | ||||
\(960\) | −16.0471 | + | 7.25050i | −0.517919 | + | 0.234009i | ||||
\(961\) | 7.17822 | + | 12.4330i | 0.231555 | + | 0.401066i | ||||
\(962\) | −19.0940 | + | 22.0058i | −0.615615 | + | 0.709494i | ||||
\(963\) | −16.7651 | + | 29.0380i | −0.540248 | + | 0.935736i | ||||
\(964\) | −5.53594 | + | 0.788362i | −0.178301 | + | 0.0253914i | ||||
\(965\) | 23.4022 | 0.753345 | ||||||||
\(966\) | −0.164489 | − | 1.49183i | −0.00529236 | − | 0.0479987i | ||||
\(967\) | 50.5419i | 1.62532i | 0.582740 | + | 0.812658i | \(0.301980\pi\) | ||||
−0.582740 | + | 0.812658i | \(0.698020\pi\) | |||||||
\(968\) | 64.2757 | + | 3.19160i | 2.06590 | + | 0.102582i | ||||
\(969\) | 15.7452 | + | 9.09048i | 0.505808 | + | 0.292028i | ||||
\(970\) | −12.2701 | + | 14.1413i | −0.393971 | + | 0.454050i | ||||
\(971\) | 30.5599 | − | 17.6438i | 0.980715 | − | 0.566216i | 0.0782293 | − | 0.996935i | \(-0.475073\pi\) |
0.902486 | + | 0.430719i | \(0.141740\pi\) | |||||||
\(972\) | 12.5849 | − | 31.3135i | 0.403659 | − | 1.00438i | ||||
\(973\) | 25.6433 | + | 5.80737i | 0.822086 | + | 0.186176i | ||||
\(974\) | 57.5452 | + | 11.1310i | 1.84387 | + | 0.356660i | ||||
\(975\) | −9.21347 | + | 5.31940i | −0.295067 | + | 0.170357i | ||||
\(976\) | −37.6049 | + | 10.9322i | −1.20370 | + | 0.349931i | ||||
\(977\) | −13.3142 | + | 23.0609i | −0.425960 | + | 0.737784i | −0.996510 | − | 0.0834788i | \(-0.973397\pi\) |
0.570550 | + | 0.821263i | \(0.306730\pi\) | |||||||
\(978\) | −3.88712 | − | 11.2555i | −0.124296 | − | 0.359912i | ||||
\(979\) | − | 34.3268i | − | 1.09709i | ||||||
\(980\) | 9.47340 | + | 10.3080i | 0.302617 | + | 0.329277i | ||||
\(981\) | 7.25465i | 0.231623i | ||||||||
\(982\) | 33.9986 | − | 11.7415i | 1.08494 | − | 0.374686i | ||||
\(983\) | 9.60664 | − | 16.6392i | 0.306404 | − | 0.530708i | −0.671169 | − | 0.741305i | \(-0.734207\pi\) |
0.977573 | + | 0.210597i | \(0.0675408\pi\) | |||||||
\(984\) | 9.78423 | + | 19.0730i | 0.311910 | + | 0.608025i | ||||
\(985\) | −17.6905 | + | 10.2136i | −0.563666 | + | 0.325432i | ||||
\(986\) | −5.14825 | + | 26.6155i | −0.163954 | + | 0.847609i | ||||
\(987\) | −10.7555 | − | 2.43577i | −0.342351 | − | 0.0775315i | ||||
\(988\) | 6.81735 | − | 16.9629i | 0.216889 | − | 0.539660i | ||||
\(989\) | −0.332678 | + | 0.192072i | −0.0105786 | + | 0.00610753i | ||||
\(990\) | −11.4497 | − | 9.93468i | −0.363895 | − | 0.315745i | ||||
\(991\) | −52.2605 | − | 30.1726i | −1.66011 | − | 0.958465i | −0.972660 | − | 0.232233i | \(-0.925397\pi\) |
−0.687450 | − | 0.726232i | \(-0.741270\pi\) | |||||||
\(992\) | −20.9602 | − | 9.65737i | −0.665487 | − | 0.306622i | ||||
\(993\) | − | 52.3991i | − | 1.66283i | ||||||
\(994\) | 32.7531 | − | 3.61137i | 1.03887 | − | 0.114546i | ||||
\(995\) | −2.20182 | −0.0698023 | ||||||||
\(996\) | −10.5324 | − | 73.9593i | −0.333732 | − | 2.34349i | ||||
\(997\) | −8.59147 | + | 14.8809i | −0.272095 | + | 0.471282i | −0.969398 | − | 0.245495i | \(-0.921050\pi\) |
0.697303 | + | 0.716776i | \(0.254383\pi\) | |||||||
\(998\) | −6.94436 | − | 6.02549i | −0.219820 | − | 0.190734i | ||||
\(999\) | −5.41811 | − | 9.38444i | −0.171421 | − | 0.296911i |
(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 | 280.2.bj.f.171.2 | yes | 24 | |
4.3 | odd | 2 | 1120.2.bz.e.591.4 | 24 | |||
7.5 | odd | 6 | 280.2.bj.e.131.11 | ✓ | 24 | ||
8.3 | odd | 2 | 280.2.bj.e.171.11 | yes | 24 | ||
8.5 | even | 2 | 1120.2.bz.f.591.4 | 24 | |||
28.19 | even | 6 | 1120.2.bz.f.271.4 | 24 | |||
56.5 | odd | 6 | 1120.2.bz.e.271.4 | 24 | |||
56.19 | even | 6 | inner | 280.2.bj.f.131.2 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.11 | ✓ | 24 | 7.5 | odd | 6 | ||
280.2.bj.e.171.11 | yes | 24 | 8.3 | odd | 2 | ||
280.2.bj.f.131.2 | yes | 24 | 56.19 | even | 6 | inner | |
280.2.bj.f.171.2 | yes | 24 | 1.1 | even | 1 | trivial | |
1120.2.bz.e.271.4 | 24 | 56.5 | odd | 6 | |||
1120.2.bz.e.591.4 | 24 | 4.3 | odd | 2 | |||
1120.2.bz.f.271.4 | 24 | 28.19 | even | 6 | |||
1120.2.bz.f.591.4 | 24 | 8.5 | even | 2 |