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 | 131.2 | ||
Character | \(\chi\) | \(=\) | 280.131 |
Dual form | 280.2.bj.f.171.2 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 | 0.164198 | − | 0.986427i | \(-0.447496\pi\) |
0.936370 | + | 0.351014i | \(0.114163\pi\) | |||||||
\(4\) | 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 | −0.855856 | − | 0.517214i | \(-0.826969\pi\) |
−0.0199929 | − | 0.999800i | \(-0.506364\pi\) | |||||||
\(12\) | 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 | 0.0345662 | − | 0.999402i | \(-0.488995\pi\) |
0.882791 | + | 0.469766i | \(0.155662\pi\) | |||||||
\(18\) | −1.97078 | + | 1.71001i | −0.464517 | + | 0.403053i | ||||
\(19\) | 1.63783 | + | 0.945600i | 0.375743 | + | 0.216936i | 0.675965 | − | 0.736934i | \(-0.263727\pi\) |
−0.300221 | + | 0.953870i | \(0.597061\pi\) | |||||||
\(20\) | −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 | 0.516364 | − | 0.856369i | \(-0.327285\pi\) |
−0.483456 | + | 0.875369i | \(0.660619\pi\) | |||||||
\(24\) | −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 | \(0.133602\pi\) | ||||
−0.913202 | + | 0.407506i | \(0.866398\pi\) | |||||||
\(30\) | 1.01615 | − | 2.94236i | 0.185522 | − | 0.537198i | ||||
\(31\) | −2.03983 | − | 3.53308i | −0.366364 | − | 0.634560i | 0.622630 | − | 0.782516i | \(-0.286064\pi\) |
−0.988994 | + | 0.147956i | \(0.952731\pi\) | |||||||
\(32\) | 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 | 0.771731 | − | 0.635949i | \(-0.219391\pi\) |
−0.164882 | + | 0.986313i | \(0.552724\pi\) | |||||||
\(38\) | −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 | \(0.0866483\pi\) | ||||
−0.963178 | + | 0.268864i | \(0.913352\pi\) | |||||||
\(42\) | 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 | −0.788673 | − | 0.614813i | \(-0.789231\pi\) |
0.926780 | + | 0.375604i | \(0.122565\pi\) | |||||||
\(48\) | 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 | −0.954467 | − | 0.298317i | \(-0.903575\pi\) |
−0.218884 | + | 0.975751i | \(0.570242\pi\) | |||||||
\(54\) | 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 | −0.852965 | − | 0.521968i | \(-0.825198\pi\) |
0.0255550 | + | 0.999673i | \(0.491865\pi\) | |||||||
\(60\) | −2.71666 | + | 3.46407i | −0.350719 | + | 0.447210i | ||||
\(61\) | −4.89522 | + | 8.47877i | −0.626769 | + | 1.08560i | 0.361427 | + | 0.932400i | \(0.382290\pi\) |
−0.988196 | + | 0.153195i | \(0.951044\pi\) | |||||||
\(62\) | 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 | 0.952915 | + | 0.303238i | \(0.0980678\pi\) |
−0.213845 | + | 0.976868i | \(0.568599\pi\) | |||||||
\(68\) | 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 | \(-0.824969\pi\) | ||
0.852590 | − | 0.522581i | \(-0.175031\pi\) | |||||||
\(72\) | −5.21205 | + | 0.258804i | −0.614246 | + | 0.0305003i | ||||
\(73\) | 7.34998 | − | 4.24351i | 0.860250 | − | 0.496666i | −0.00384586 | − | 0.999993i | \(-0.501224\pi\) |
0.864096 | + | 0.503327i | \(0.167891\pi\) | |||||||
\(74\) | −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 | 0.957722 | − | 0.287696i | \(-0.0928894\pi\) |
0.229708 | + | 0.973259i | \(0.426223\pi\) | |||||||
\(80\) | −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 | \(0.381355\pi\) | ||||
−0.364163 | + | 0.931335i | \(0.618645\pi\) | |||||||
\(84\) | −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 | 0.203656 | − | 0.979043i | \(-0.434718\pi\) |
−0.746048 | + | 0.665892i | \(0.768051\pi\) | |||||||
\(90\) | −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 | \(-0.765393\pi\) | ||
0.740461 | − | 0.672100i | \(-0.234607\pi\) | |||||||
\(98\) | 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 | 0.798053 | − | 0.602587i | \(-0.205863\pi\) |
−0.920882 | + | 0.389841i | \(0.872530\pi\) | |||||||
\(102\) | −10.2688 | + | 8.91004i | −1.01676 | + | 0.882226i | ||||
\(103\) | 0.920346 | − | 1.59409i | 0.0906844 | − | 0.157070i | −0.817115 | − | 0.576475i | \(-0.804428\pi\) |
0.907799 | + | 0.419405i | \(0.137761\pi\) | |||||||
\(104\) | −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 | 0.0254044 | − | 0.999677i | \(-0.491913\pi\) |
0.853044 | − | 0.521839i | \(-0.174754\pi\) | |||||||
\(108\) | −3.13772 | + | 4.00098i | −0.301927 | + | 0.384995i | ||||
\(109\) | 3.40525 | − | 1.96602i | 0.326164 | − | 0.188311i | −0.327973 | − | 0.944687i | \(-0.606365\pi\) |
0.654137 | + | 0.756376i | \(0.273032\pi\) | |||||||
\(110\) | −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 | \(-0.959186\pi\) | ||
0.991791 | − | 0.127871i | \(-0.0408143\pi\) | |||||||
\(128\) | 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 | 0.771177 | − | 0.636621i | \(-0.219668\pi\) |
−0.165741 | + | 0.986169i | \(0.553002\pi\) | |||||||
\(132\) | −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 | 0.997349 | − | 0.0727651i | \(-0.0231823\pi\) |
−0.561691 | + | 0.827347i | \(0.689849\pi\) | |||||||
\(138\) | −0.536199 | − | 0.185177i | −0.0456443 | − | 0.0157633i | ||||
\(139\) | 9.93769i | 0.842904i | 0.906851 | + | 0.421452i | \(0.138479\pi\) | ||||
−0.906851 | + | 0.421452i | \(0.861521\pi\) | |||||||
\(140\) | 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 | 0.941077 | − | 0.338192i | \(-0.109815\pi\) |
0.177655 | + | 0.984093i | \(0.443149\pi\) | |||||||
\(150\) | 2.04008 | + | 2.35119i | 0.166572 | + | 0.191974i | ||||
\(151\) | −5.24155 | + | 3.02621i | −0.426552 | + | 0.246270i | −0.697877 | − | 0.716218i | \(-0.745872\pi\) |
0.271325 | + | 0.962488i | \(0.412538\pi\) | |||||||
\(152\) | −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 | −0.909585 | − | 0.415518i | \(-0.863600\pi\) |
0.0949439 | − | 0.995483i | \(-0.469733\pi\) | |||||||
\(158\) | −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 | −0.781346 | − | 0.624098i | \(-0.785466\pi\) |
0.931158 | + | 0.364616i | \(0.118800\pi\) | |||||||
\(164\) | −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 | −0.597691 | − | 0.801727i | \(-0.703915\pi\) |
0.993161 | + | 0.116752i | \(0.0372483\pi\) | |||||||
\(174\) | −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 | 0.972466 | − | 0.233046i | \(-0.0748692\pi\) |
−0.688056 | + | 0.725657i | \(0.741536\pi\) | |||||||
\(180\) | −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 | 0.721983 | − | 0.691911i | \(-0.243231\pi\) |
−0.238222 | + | 0.971211i | \(0.576564\pi\) | |||||||
\(192\) | 1.74446 | + | 17.5225i | 0.125895 | + | 1.26458i | ||||
\(193\) | −11.7011 | − | 20.2669i | −0.842265 | − | 1.45885i | −0.887975 | − | 0.459892i | \(-0.847888\pi\) |
0.0457097 | − | 0.998955i | \(-0.485445\pi\) | |||||||
\(194\) | −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 | \(0.259406\pi\) | ||||
−0.685907 | + | 0.727689i | \(0.740594\pi\) | |||||||
\(198\) | 14.3285 | + | 4.94838i | 1.01828 | + | 0.351666i | ||||
\(199\) | 1.10091 | + | 1.90683i | 0.0780413 | + | 0.135172i | 0.902405 | − | 0.430889i | \(-0.141800\pi\) |
−0.824363 | + | 0.566061i | \(0.808467\pi\) | |||||||
\(200\) | −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 | −0.244777 | − | 0.969579i | \(-0.578715\pi\) |
0.717292 | + | 0.696773i | \(0.245381\pi\) | |||||||
\(228\) | 6.55126 | + | 5.13774i | 0.433868 | + | 0.340255i | ||||
\(229\) | 5.03725 | − | 8.72478i | 0.332871 | − | 0.576549i | −0.650203 | − | 0.759761i | \(-0.725316\pi\) |
0.983074 | + | 0.183211i | \(0.0586493\pi\) | |||||||
\(230\) | 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 | −0.719678 | − | 0.694308i | \(-0.755711\pi\) |
0.961127 | + | 0.276105i | \(0.0890438\pi\) | |||||||
\(234\) | −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 | \(0.237016\pi\) | ||||
−0.735355 | + | 0.677682i | \(0.762984\pi\) | |||||||
\(240\) | −8.55076 | + | 2.09872i | −0.551949 | + | 0.135472i | ||||
\(241\) | −2.42132 | + | 1.39795i | −0.155971 | + | 0.0900498i | −0.575954 | − | 0.817482i | \(-0.695369\pi\) |
0.419983 | + | 0.907532i | \(0.362036\pi\) | |||||||
\(242\) | 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 | \(-0.798244\pi\) | ||
0.805763 | − | 0.592238i | \(-0.201756\pi\) | |||||||
\(252\) | −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 | 0.273916 | − | 0.961754i | \(-0.411681\pi\) |
−0.695945 | + | 0.718095i | \(0.745014\pi\) | |||||||
\(258\) | 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 | −0.336501 | − | 0.941683i | \(-0.609243\pi\) |
0.647271 | + | 0.762260i | \(0.275910\pi\) | |||||||
\(264\) | 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 | 0.953642 | + | 0.300943i | \(0.0973012\pi\) |
−0.216197 | + | 0.976350i | \(0.569365\pi\) | |||||||
\(270\) | 2.35628 | + | 2.71561i | 0.143399 | + | 0.165266i | ||||
\(271\) | 7.83742 | − | 13.5748i | 0.476089 | − | 0.824611i | −0.523536 | − | 0.852004i | \(-0.675387\pi\) |
0.999625 | + | 0.0273932i | \(0.00872061\pi\) | |||||||
\(272\) | 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 | −0.0673898 | − | 0.997727i | \(-0.521467\pi\) |
0.830362 | + | 0.557225i | \(0.188134\pi\) | |||||||
\(278\) | 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 | −0.366912 | − | 0.930256i | \(-0.619585\pi\) |
0.622169 | + | 0.782883i | \(0.286252\pi\) | |||||||
\(284\) | 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 | \(-0.864781\pi\) | ||
0.911121 | − | 0.412140i | \(-0.135219\pi\) | |||||||
\(308\) | −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 | 0.530578 | − | 0.847636i | \(-0.321975\pi\) |
−0.999363 | + | 0.0356762i | \(0.988641\pi\) | |||||||
\(312\) | −26.7737 | − | 13.7346i | −1.51576 | − | 0.777570i | ||||
\(313\) | 2.19818 | + | 1.26912i | 0.124248 | + | 0.0717348i | 0.560836 | − | 0.827927i | \(-0.310480\pi\) |
−0.436588 | + | 0.899662i | \(0.643813\pi\) | |||||||
\(314\) | 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 | 0.0214339 | − | 0.999770i | \(-0.493177\pi\) |
−0.855109 | + | 0.518447i | \(0.826510\pi\) | |||||||
\(318\) | 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 | 0.327852 | + | 0.944729i | \(0.393675\pi\) |
−0.982085 | + | 0.188436i | \(0.939658\pi\) | |||||||
\(332\) | −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 | −0.897092 | − | 0.441844i | \(-0.854325\pi\) |
0.0658983 | − | 0.997826i | \(-0.479009\pi\) | |||||||
\(348\) | −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 | −0.787185 | − | 0.616717i | \(-0.788462\pi\) |
0.140500 | + | 0.990081i | \(0.455129\pi\) | |||||||
\(354\) | 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 | 0.751150 | − | 0.660131i | \(-0.229499\pi\) |
−0.196115 | + | 0.980581i | \(0.562833\pi\) | |||||||
\(360\) | 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 | 0.976238 | − | 0.216700i | \(-0.0695292\pi\) |
−0.675787 | + | 0.737097i | \(0.736196\pi\) | |||||||
\(368\) | −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 | 0.923304 | − | 0.384070i | \(-0.125478\pi\) |
0.129037 | + | 0.991640i | \(0.458811\pi\) | |||||||
\(374\) | 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 | −0.991228 | − | 0.132161i | \(-0.957808\pi\) |
0.610069 | + | 0.792348i | \(0.291142\pi\) | |||||||
\(384\) | 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 | −0.751261 | − | 0.660006i | \(-0.770554\pi\) |
0.195951 | + | 0.980614i | \(0.437221\pi\) | |||||||
\(390\) | 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 | −0.609124 | − | 0.793075i | \(-0.708479\pi\) |
0.991385 | + | 0.130979i | \(0.0418122\pi\) | |||||||
\(398\) | −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 | −0.991951 | − | 0.126625i | \(-0.959585\pi\) |
0.605636 | + | 0.795742i | \(0.292919\pi\) | |||||||
\(402\) | −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 | −0.673194 | − | 0.739466i | \(-0.735078\pi\) |
0.303799 | + | 0.952736i | \(0.401745\pi\) | |||||||
\(410\) | 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 | \(-0.915910\pi\) | ||
0.965308 | − | 0.261115i | \(-0.0840902\pi\) | |||||||
\(420\) | 10.5263 | + | 4.98575i | 0.513630 | + | 0.243280i | ||||
\(421\) | − | 20.4941i | − | 0.998823i | −0.866365 | − | 0.499412i | \(-0.833550\pi\) | ||
0.866365 | − | 0.499412i | \(-0.166450\pi\) | |||||||
\(422\) | 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 | 0.0983389 | − | 0.995153i | \(-0.468647\pi\) |
0.910997 | + | 0.412412i | \(0.135314\pi\) | |||||||
\(432\) | −9.87607 | + | 2.42401i | −0.475163 | + | 0.116625i | ||||
\(433\) | 20.2949i | 0.975311i | 0.873036 | + | 0.487655i | \(0.162148\pi\) | ||||
−0.873036 | + | 0.487655i | \(0.837852\pi\) | |||||||
\(434\) | 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 | −0.919919 | − | 0.392109i | \(-0.871746\pi\) |
0.799535 | + | 0.600619i | \(0.205079\pi\) | |||||||
\(440\) | −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 | −0.946005 | − | 0.324153i | \(-0.894921\pi\) |
0.753727 | + | 0.657187i | \(0.228254\pi\) | |||||||
\(444\) | 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 | −0.922374 | − | 0.386297i | \(-0.873754\pi\) |
0.795730 | + | 0.605651i | \(0.207087\pi\) | |||||||
\(458\) | −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 | \(0.00225435\pi\) | ||||
−0.999975 | + | 0.00708220i | \(0.997746\pi\) | |||||||
\(464\) | −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 | 0.420394 | − | 0.907342i | \(-0.361892\pi\) |
−0.575584 | + | 0.817743i | \(0.695225\pi\) | |||||||
\(468\) | 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 | −0.946494 | − | 0.322722i | \(-0.895402\pi\) |
0.193761 | − | 0.981049i | \(-0.437931\pi\) | |||||||
\(480\) | 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 | −0.641289 | + | 0.767300i | \(0.721600\pi\) |
−0.985145 | + | 0.171722i | \(0.945067\pi\) | |||||||
\(488\) | 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 | −0.784049 | − | 0.620699i | \(-0.786849\pi\) |
0.929565 | + | 0.368657i | \(0.120182\pi\) | |||||||
\(500\) | 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 | −0.990193 | − | 0.139703i | \(-0.955385\pi\) |
0.616083 | + | 0.787681i | \(0.288719\pi\) | |||||||
\(510\) | −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 | 0.0430955 | − | 0.999071i | \(-0.486278\pi\) |
0.886769 | + | 0.462214i | \(0.152945\pi\) | |||||||
\(522\) | −7.50519 | − | 8.64971i | −0.328493 | − | 0.378587i | ||||
\(523\) | −25.2087 | − | 14.5543i | −1.10230 | − | 0.636414i | −0.165476 | − | 0.986214i | \(-0.552916\pi\) |
−0.936824 | + | 0.349800i | \(0.886249\pi\) | |||||||
\(524\) | 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 | 0.583301 | − | 0.812256i | \(-0.301761\pi\) |
−0.411784 | + | 0.911282i | \(0.635094\pi\) | |||||||
\(542\) | −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 | −0.117222 | − | 0.993106i | \(-0.537399\pi\) |
0.801443 | + | 0.598070i | \(0.204066\pi\) | |||||||
\(558\) | 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 | −0.846457 | − | 0.532457i | \(-0.821269\pi\) |
0.0378926 | + | 0.999282i | \(0.487936\pi\) | |||||||
\(564\) | 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 | −0.878715 | − | 0.477346i | \(-0.841599\pi\) |
0.852752 | + | 0.522316i | \(0.174932\pi\) | |||||||
\(570\) | 4.44657 | − | 3.85820i | 0.186246 | − | 0.161602i | ||||
\(571\) | 10.3953 | + | 18.0051i | 0.435028 | + | 0.753490i | 0.997298 | − | 0.0734633i | \(-0.0234052\pi\) |
−0.562270 | + | 0.826954i | \(0.690072\pi\) | |||||||
\(572\) | 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 | −0.970817 | − | 0.239821i | \(-0.922911\pi\) |
−0.277717 | + | 0.960663i | \(0.589578\pi\) | |||||||
\(578\) | −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 | \(0.153641\pi\) | ||||
−0.885755 | + | 0.464153i | \(0.846359\pi\) | |||||||
\(588\) | −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 | 0.421989 | − | 0.906601i | \(-0.361332\pi\) |
−0.574145 | + | 0.818754i | \(0.694665\pi\) | |||||||
\(594\) | −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 | −0.383403 | − | 0.923581i | \(-0.625248\pi\) |
0.608143 | + | 0.793827i | \(0.291915\pi\) | |||||||
\(600\) | 0.308759 | + | 6.21810i | 0.0126050 | + | 0.253853i | ||||
\(601\) | − | 3.72971i | − | 0.152138i | −0.997103 | − | 0.0760691i | \(-0.975763\pi\) | ||
0.997103 | − | 0.0760691i | \(-0.0242369\pi\) | |||||||
\(602\) | 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 | −0.992734 | − | 0.120330i | \(-0.961605\pi\) |
0.600576 | + | 0.799568i | \(0.294938\pi\) | |||||||
\(608\) | 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 | −0.926532 | − | 0.376216i | \(-0.877225\pi\) |
−0.137453 | + | 0.990508i | \(0.543892\pi\) | |||||||
\(614\) | −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 | −0.674974 | − | 0.737842i | \(-0.735845\pi\) |
0.301503 | + | 0.953465i | \(0.402512\pi\) | |||||||
\(620\) | 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 | \(-0.950082\pi\) | ||
0.987728 | − | 0.156181i | \(-0.0499183\pi\) | |||||||
\(632\) | −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 | 0.968494 | − | 0.249037i | \(-0.0801141\pi\) |
−0.699919 | + | 0.714222i | \(0.746781\pi\) | |||||||
\(642\) | −18.4669 | + | 53.4728i | −0.728832 | + | 2.11040i | ||||
\(643\) | 5.68857i | 0.224335i | 0.993689 | + | 0.112168i | \(0.0357794\pi\) | ||||
−0.993689 | + | 0.112168i | \(0.964221\pi\) | |||||||
\(644\) | 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 | 0.861560 | − | 0.507655i | \(-0.169488\pi\) |
−0.870422 | + | 0.492306i | \(0.836154\pi\) | |||||||
\(648\) | 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 | 0.425875 | − | 0.904782i | \(-0.359966\pi\) |
−0.570626 | + | 0.821210i | \(0.693300\pi\) | |||||||
\(654\) | −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 | −0.997180 | − | 0.0750479i | \(-0.976089\pi\) |
0.433597 | − | 0.901107i | \(-0.357244\pi\) | |||||||
\(662\) | 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 | 0.00616405 | + | 0.999981i | \(0.498038\pi\) |
−0.869091 | + | 0.494652i | \(0.835295\pi\) | |||||||
\(678\) | −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 | 0.953316 | − | 0.301974i | \(-0.0976454\pi\) |
−0.738175 | + | 0.674609i | \(0.764312\pi\) | |||||||
\(684\) | 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 | 0.328727 | − | 0.944425i | \(-0.393380\pi\) |
−0.653533 | + | 0.756898i | \(0.726714\pi\) | |||||||
\(692\) | 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 | \(0.0361634\pi\) | ||||
−0.993553 | + | 0.113366i | \(0.963837\pi\) | |||||||
\(702\) | 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 | 0.295397 | − | 0.955375i | \(-0.404548\pi\) |
−0.679680 | + | 0.733508i | \(0.737881\pi\) | |||||||
\(710\) | −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 | −0.803130 | − | 0.595803i | \(-0.796834\pi\) |
0.917546 | + | 0.397630i | \(0.130167\pi\) | |||||||
\(720\) | −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 | 0.0236421 | − | 0.999720i | \(-0.492474\pi\) |
0.853962 | − | 0.520335i | \(-0.174193\pi\) | |||||||
\(734\) | −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 | 0.899705 | − | 0.436499i | \(-0.143782\pi\) |
−0.827872 | + | 0.560917i | \(0.810449\pi\) | |||||||
\(740\) | −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 | \(-0.656741\pi\) | ||
0.472755 | − | 0.881194i | \(-0.343259\pi\) | |||||||
\(744\) | 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 | 0.497446 | − | 0.867495i | \(-0.334271\pi\) |
−0.502550 | + | 0.864548i | \(0.667605\pi\) | |||||||
\(752\) | 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 | \(-0.899920\pi\) | ||
0.950979 | − | 0.309257i | \(-0.100080\pi\) | |||||||
\(758\) | 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 | 0.861704 | − | 0.507411i | \(-0.169398\pi\) |
−0.00857924 | + | 0.999963i | \(0.502731\pi\) | |||||||
\(762\) | 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 | \(-0.905338\pi\) | ||
0.956105 | − | 0.293025i | \(-0.0946618\pi\) | |||||||
\(770\) | −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 | 0.826212 | − | 0.563359i | \(-0.190491\pi\) |
−0.900989 | + | 0.433841i | \(0.857158\pi\) | |||||||
\(774\) | 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 | −0.493810 | − | 0.869570i | \(-0.664396\pi\) |
0.506165 | + | 0.862437i | \(0.331063\pi\) | |||||||
\(788\) | −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 | −0.984910 | − | 0.173066i | \(-0.944633\pi\) |
0.342576 | − | 0.939490i | \(-0.388701\pi\) | |||||||
\(810\) | 14.8792 | + | 5.13857i | 0.522804 | + | 0.180551i | ||||
\(811\) | − | 17.6473i | − | 0.619680i | −0.950789 | − | 0.309840i | \(-0.899725\pi\) | ||
0.950789 | − | 0.309840i | \(-0.100275\pi\) | |||||||
\(812\) | 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 | 0.979763 | − | 0.200163i | \(-0.0641471\pi\) |
0.316535 | + | 0.948581i | \(0.397480\pi\) | |||||||
\(822\) | −20.8058 | − | 23.9786i | −0.725684 | − | 0.836349i | ||||
\(823\) | 31.2832 | − | 18.0614i | 1.09046 | − | 0.629580i | 0.156764 | − | 0.987636i | \(-0.449894\pi\) |
0.933700 | + | 0.358056i | \(0.116560\pi\) | |||||||
\(824\) | −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 | 0.686570 | + | 0.727063i | \(0.259115\pi\) |
0.286370 | + | 0.958119i | \(0.407551\pi\) | |||||||
\(830\) | 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 | 0.132350 | − | 0.991203i | \(-0.457748\pi\) |
0.924582 | + | 0.380983i | \(0.124414\pi\) | |||||||
\(858\) | 57.2860 | + | 66.0219i | 1.95571 | + | 2.25395i | ||||
\(859\) | 4.24262 | + | 2.44948i | 0.144756 | + | 0.0835751i | 0.570629 | − | 0.821208i | \(-0.306700\pi\) |
−0.425873 | + | 0.904783i | \(0.640033\pi\) | |||||||
\(860\) | 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 | −0.0363065 | − | 0.999341i | \(-0.511559\pi\) |
−0.883608 | + | 0.468228i | \(0.844893\pi\) | |||||||
\(864\) | 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 | 0.576485 | − | 0.817107i | \(-0.304424\pi\) |
−0.419393 | + | 0.907805i | \(0.637757\pi\) | |||||||
\(878\) | 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 | \(0.0698670\pi\) | ||||
−0.976008 | + | 0.217736i | \(0.930133\pi\) | |||||||
\(882\) | 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 | 0.338086 | + | 0.941115i | \(0.390220\pi\) |
−0.984073 | + | 0.177766i | \(0.943113\pi\) | |||||||
\(888\) | −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 | 0.618941 | + | 0.785438i | \(0.287562\pi\) |
0.370738 | + | 0.928737i | \(0.379105\pi\) | |||||||
\(908\) | 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 | \(0.237281\pi\) | ||||
−0.734790 | + | 0.678295i | \(0.762719\pi\) | |||||||
\(912\) | 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 | 0.827058 | − | 0.562116i | \(-0.190013\pi\) |
−0.0732776 | + | 0.997312i | \(0.523346\pi\) | |||||||
\(920\) | 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 | −0.294994 | − | 0.955499i | \(-0.595318\pi\) |
−0.974984 | + | 0.222277i | \(0.928651\pi\) | |||||||
\(930\) | −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 | \(-0.924403\pi\) | ||
0.971931 | − | 0.235268i | \(-0.0755967\pi\) | |||||||
\(938\) | −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 | 0.760551 | − | 0.649279i | \(-0.224929\pi\) |
−0.942567 | + | 0.334017i | \(0.891596\pi\) | |||||||
\(942\) | 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 | −0.983617 | − | 0.180269i | \(-0.942303\pi\) |
0.647926 | + | 0.761703i | \(0.275636\pi\) | |||||||
\(948\) | 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 | \(-0.698020\pi\) | ||
0.582740 | − | 0.812658i | \(-0.301980\pi\) | |||||||
\(968\) | 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 | 0.902486 | − | 0.430719i | \(-0.141740\pi\) |
0.0782293 | + | 0.996935i | \(0.475073\pi\) | |||||||
\(972\) | 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 | 0.570550 | − | 0.821263i | \(-0.306730\pi\) |
−0.996510 | + | 0.0834788i | \(0.973397\pi\) | |||||||
\(978\) | −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 | 0.977573 | − | 0.210597i | \(-0.0675408\pi\) |
−0.671169 | + | 0.741305i | \(0.734207\pi\) | |||||||
\(984\) | 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 | −0.687450 | + | 0.726232i | \(0.741270\pi\) |
−0.972660 | + | 0.232233i | \(0.925397\pi\) | |||||||
\(992\) | −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 | 0.697303 | − | 0.716776i | \(-0.254383\pi\) |
−0.969398 | + | 0.245495i | \(0.921050\pi\) | |||||||
\(998\) | −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.131.2 | yes | 24 | |
4.3 | odd | 2 | 1120.2.bz.e.271.4 | 24 | |||
7.3 | odd | 6 | 280.2.bj.e.171.11 | yes | 24 | ||
8.3 | odd | 2 | 280.2.bj.e.131.11 | ✓ | 24 | ||
8.5 | even | 2 | 1120.2.bz.f.271.4 | 24 | |||
28.3 | even | 6 | 1120.2.bz.f.591.4 | 24 | |||
56.3 | even | 6 | inner | 280.2.bj.f.171.2 | yes | 24 | |
56.45 | odd | 6 | 1120.2.bz.e.591.4 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.11 | ✓ | 24 | 8.3 | odd | 2 | ||
280.2.bj.e.171.11 | yes | 24 | 7.3 | odd | 6 | ||
280.2.bj.f.131.2 | yes | 24 | 1.1 | even | 1 | trivial | |
280.2.bj.f.171.2 | yes | 24 | 56.3 | even | 6 | inner | |
1120.2.bz.e.271.4 | 24 | 4.3 | odd | 2 | |||
1120.2.bz.e.591.4 | 24 | 56.45 | odd | 6 | |||
1120.2.bz.f.271.4 | 24 | 8.5 | even | 2 | |||
1120.2.bz.f.591.4 | 24 | 28.3 | even | 6 |