Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(19,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 25, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.ba (of order \(30\), degree \(8\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 61.6 | ||
Character | \(\chi\) | \(=\) | 462.61 |
Dual form | 462.2.ba.b.409.6 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.207912 | − | 0.978148i | 0.147016 | − | 0.691655i | ||||
\(3\) | −0.994522 | − | 0.104528i | −0.574187 | − | 0.0603495i | ||||
\(4\) | −0.913545 | − | 0.406737i | −0.456773 | − | 0.203368i | ||||
\(5\) | −0.716223 | + | 0.644890i | −0.320305 | + | 0.288404i | −0.813560 | − | 0.581481i | \(-0.802473\pi\) |
0.493255 | + | 0.869885i | \(0.335807\pi\) | |||||||
\(6\) | −0.309017 | + | 0.951057i | −0.126156 | + | 0.388267i | ||||
\(7\) | 2.17783 | + | 1.50235i | 0.823143 | + | 0.567834i | ||||
\(8\) | −0.587785 | + | 0.809017i | −0.207813 | + | 0.286031i | ||||
\(9\) | 0.978148 | + | 0.207912i | 0.326049 | + | 0.0693039i | ||||
\(10\) | 0.481886 | + | 0.834652i | 0.152386 | + | 0.263940i | ||||
\(11\) | 0.870641 | − | 3.20031i | 0.262508 | − | 0.964930i | ||||
\(12\) | 0.866025 | + | 0.500000i | 0.250000 | + | 0.144338i | ||||
\(13\) | −0.544440 | − | 1.67561i | −0.151000 | − | 0.464731i | 0.846733 | − | 0.532018i | \(-0.178566\pi\) |
−0.997734 | + | 0.0672862i | \(0.978566\pi\) | |||||||
\(14\) | 1.92232 | − | 1.81788i | 0.513760 | − | 0.485850i | ||||
\(15\) | 0.779709 | − | 0.566492i | 0.201320 | − | 0.146267i | ||||
\(16\) | 0.669131 | + | 0.743145i | 0.167283 | + | 0.185786i | ||||
\(17\) | 6.86988 | − | 1.46024i | 1.66619 | − | 0.354160i | 0.724146 | − | 0.689647i | \(-0.242234\pi\) |
0.942045 | + | 0.335487i | \(0.108901\pi\) | |||||||
\(18\) | 0.406737 | − | 0.913545i | 0.0958687 | − | 0.215325i | ||||
\(19\) | 2.62462 | − | 1.16856i | 0.602129 | − | 0.268085i | −0.0829500 | − | 0.996554i | \(-0.526434\pi\) |
0.685079 | + | 0.728468i | \(0.259767\pi\) | |||||||
\(20\) | 0.916603 | − | 0.297822i | 0.204959 | − | 0.0665951i | ||||
\(21\) | −2.00886 | − | 1.72176i | −0.438370 | − | 0.375720i | ||||
\(22\) | −2.94936 | − | 1.51700i | −0.628805 | − | 0.323425i | ||||
\(23\) | 1.43322 | − | 2.48240i | 0.298846 | − | 0.517617i | −0.677026 | − | 0.735959i | \(-0.736732\pi\) |
0.975872 | + | 0.218342i | \(0.0700649\pi\) | |||||||
\(24\) | 0.669131 | − | 0.743145i | 0.136586 | − | 0.151694i | ||||
\(25\) | −0.425550 | + | 4.04884i | −0.0851100 | + | 0.809768i | ||||
\(26\) | −1.75219 | + | 0.184163i | −0.343633 | + | 0.0361173i | ||||
\(27\) | −0.951057 | − | 0.309017i | −0.183031 | − | 0.0594703i | ||||
\(28\) | −1.37849 | − | 2.25827i | −0.260510 | − | 0.426772i | ||||
\(29\) | −6.05246 | − | 8.33049i | −1.12391 | − | 1.54693i | −0.799143 | − | 0.601141i | \(-0.794713\pi\) |
−0.324770 | − | 0.945793i | \(-0.605287\pi\) | |||||||
\(30\) | −0.392002 | − | 0.880450i | −0.0715694 | − | 0.160748i | ||||
\(31\) | 5.77486 | + | 5.19971i | 1.03720 | + | 0.933895i | 0.997864 | − | 0.0653316i | \(-0.0208105\pi\) |
0.0393314 | + | 0.999226i | \(0.487477\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | −1.20040 | + | 3.09177i | −0.208962 | + | 0.538208i | ||||
\(34\) | − | 7.02336i | − | 1.20450i | ||||||
\(35\) | −2.52866 | + | 0.328445i | −0.427422 | + | 0.0555173i | ||||
\(36\) | −0.809017 | − | 0.587785i | −0.134836 | − | 0.0979642i | ||||
\(37\) | −0.904640 | − | 8.60708i | −0.148722 | − | 1.41500i | −0.773304 | − | 0.634036i | \(-0.781397\pi\) |
0.624582 | − | 0.780959i | \(-0.285269\pi\) | |||||||
\(38\) | −0.597331 | − | 2.81022i | −0.0969000 | − | 0.455878i | ||||
\(39\) | 0.366308 | + | 1.72334i | 0.0586562 | + | 0.275956i | ||||
\(40\) | −0.100742 | − | 0.958493i | −0.0159287 | − | 0.151551i | ||||
\(41\) | 0.922748 | + | 0.670416i | 0.144109 | + | 0.104701i | 0.657504 | − | 0.753451i | \(-0.271612\pi\) |
−0.513395 | + | 0.858153i | \(0.671612\pi\) | |||||||
\(42\) | −2.10181 | + | 1.60699i | −0.324316 | + | 0.247964i | ||||
\(43\) | − | 3.60525i | − | 0.549795i | −0.961474 | − | 0.274897i | \(-0.911356\pi\) | ||
0.961474 | − | 0.274897i | \(-0.0886439\pi\) | |||||||
\(44\) | −2.09705 | + | 2.56951i | −0.316143 | + | 0.387368i | ||||
\(45\) | −0.834652 | + | 0.481886i | −0.124423 | + | 0.0718354i | ||||
\(46\) | −2.13017 | − | 1.91802i | −0.314077 | − | 0.282796i | ||||
\(47\) | 0.759218 | + | 1.70523i | 0.110743 | + | 0.248733i | 0.960412 | − | 0.278583i | \(-0.0898648\pi\) |
−0.849669 | + | 0.527317i | \(0.823198\pi\) | |||||||
\(48\) | −0.587785 | − | 0.809017i | −0.0848395 | − | 0.116772i | ||||
\(49\) | 2.48590 | + | 6.54372i | 0.355128 | + | 0.934818i | ||||
\(50\) | 3.87189 | + | 1.25805i | 0.547567 | + | 0.177915i | ||||
\(51\) | −6.98488 | + | 0.734141i | −0.978079 | + | 0.102800i | ||||
\(52\) | −0.184163 | + | 1.75219i | −0.0255388 | + | 0.242985i | ||||
\(53\) | 2.60908 | − | 2.89768i | 0.358385 | − | 0.398027i | −0.536809 | − | 0.843704i | \(-0.680370\pi\) |
0.895194 | + | 0.445677i | \(0.147037\pi\) | |||||||
\(54\) | −0.500000 | + | 0.866025i | −0.0680414 | + | 0.117851i | ||||
\(55\) | 1.44027 | + | 2.85360i | 0.194207 | + | 0.384780i | ||||
\(56\) | −2.49552 | + | 0.878844i | −0.333478 | + | 0.117440i | ||||
\(57\) | −2.73239 | + | 0.887808i | −0.361914 | + | 0.117593i | ||||
\(58\) | −9.40683 | + | 4.18819i | −1.23518 | + | 0.549936i | ||||
\(59\) | −3.59802 | + | 8.08128i | −0.468422 | + | 1.05209i | 0.512676 | + | 0.858582i | \(0.328654\pi\) |
−0.981098 | + | 0.193511i | \(0.938012\pi\) | |||||||
\(60\) | −0.942712 | + | 0.200380i | −0.121704 | + | 0.0258689i | ||||
\(61\) | 7.70182 | + | 8.55374i | 0.986118 | + | 1.09519i | 0.995455 | + | 0.0952380i | \(0.0303612\pi\) |
−0.00933701 | + | 0.999956i | \(0.502972\pi\) | |||||||
\(62\) | 6.28674 | − | 4.56758i | 0.798417 | − | 0.580084i | ||||
\(63\) | 1.81788 | + | 1.92232i | 0.229032 | + | 0.242189i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | 1.47053 | + | 0.849008i | 0.182396 | + | 0.105307i | ||||
\(66\) | 2.77463 | + | 1.81698i | 0.341534 | + | 0.223655i | ||||
\(67\) | 7.58406 | + | 13.1360i | 0.926541 | + | 1.60482i | 0.789064 | + | 0.614311i | \(0.210566\pi\) |
0.137476 | + | 0.990505i | \(0.456101\pi\) | |||||||
\(68\) | −6.86988 | − | 1.46024i | −0.833095 | − | 0.177080i | ||||
\(69\) | −1.68485 | + | 2.31899i | −0.202832 | + | 0.279174i | ||||
\(70\) | −0.204471 | + | 2.54169i | −0.0244389 | + | 0.303790i | ||||
\(71\) | 3.16680 | − | 9.74640i | 0.375830 | − | 1.15668i | −0.567087 | − | 0.823658i | \(-0.691930\pi\) |
0.942917 | − | 0.333027i | \(-0.108070\pi\) | |||||||
\(72\) | −0.743145 | + | 0.669131i | −0.0875805 | + | 0.0788578i | ||||
\(73\) | −6.84277 | − | 3.04660i | −0.800885 | − | 0.356577i | −0.0348638 | − | 0.999392i | \(-0.511100\pi\) |
−0.766021 | + | 0.642815i | \(0.777766\pi\) | |||||||
\(74\) | −8.60708 | − | 0.904640i | −1.00055 | − | 0.105162i | ||||
\(75\) | 0.846438 | − | 3.98218i | 0.0977382 | − | 0.459822i | ||||
\(76\) | −2.87301 | −0.329556 | ||||||||
\(77\) | 6.70409 | − | 5.66173i | 0.764002 | − | 0.645214i | ||||
\(78\) | 1.76184 | 0.199489 | ||||||||
\(79\) | −1.42869 | + | 6.72144i | −0.160740 | + | 0.756221i | 0.821742 | + | 0.569860i | \(0.193003\pi\) |
−0.982481 | + | 0.186361i | \(0.940331\pi\) | |||||||
\(80\) | −0.958493 | − | 0.100742i | −0.107163 | − | 0.0112633i | ||||
\(81\) | 0.913545 | + | 0.406737i | 0.101505 | + | 0.0451930i | ||||
\(82\) | 0.847616 | − | 0.763197i | 0.0936035 | − | 0.0842810i | ||||
\(83\) | −0.368215 | + | 1.13325i | −0.0404168 | + | 0.124390i | −0.969229 | − | 0.246160i | \(-0.920831\pi\) |
0.928812 | + | 0.370551i | \(0.120831\pi\) | |||||||
\(84\) | 1.13488 | + | 2.38999i | 0.123826 | + | 0.260769i | ||||
\(85\) | −3.97867 | + | 5.47617i | −0.431548 | + | 0.593974i | ||||
\(86\) | −3.52646 | − | 0.749573i | −0.380268 | − | 0.0808285i | ||||
\(87\) | 5.14853 | + | 8.91751i | 0.551980 | + | 0.956058i | ||||
\(88\) | 2.07736 | + | 2.58546i | 0.221447 | + | 0.275611i | ||||
\(89\) | −0.125384 | − | 0.0723905i | −0.0132907 | − | 0.00767338i | 0.493340 | − | 0.869837i | \(-0.335776\pi\) |
−0.506631 | + | 0.862163i | \(0.669109\pi\) | |||||||
\(90\) | 0.297822 | + | 0.916603i | 0.0313932 | + | 0.0966184i | ||||
\(91\) | 1.33166 | − | 4.46714i | 0.139596 | − | 0.468283i | ||||
\(92\) | −2.31899 | + | 1.68485i | −0.241772 | + | 0.175657i | ||||
\(93\) | −5.19971 | − | 5.77486i | −0.539184 | − | 0.598825i | ||||
\(94\) | 1.82582 | − | 0.388090i | 0.188319 | − | 0.0400284i | ||||
\(95\) | −1.12622 | + | 2.52954i | −0.115548 | + | 0.259525i | ||||
\(96\) | −0.913545 | + | 0.406737i | −0.0932383 | + | 0.0415124i | ||||
\(97\) | −13.4066 | + | 4.35607i | −1.36124 | + | 0.442292i | −0.896455 | − | 0.443134i | \(-0.853867\pi\) |
−0.464780 | + | 0.885426i | \(0.653867\pi\) | |||||||
\(98\) | 6.91757 | − | 1.07106i | 0.698781 | − | 0.108193i | ||||
\(99\) | 1.51700 | − | 2.94936i | 0.152464 | − | 0.296422i | ||||
\(100\) | 2.03557 | − | 3.52571i | 0.203557 | − | 0.352571i | ||||
\(101\) | 7.65966 | − | 8.50691i | 0.762165 | − | 0.846470i | −0.229767 | − | 0.973246i | \(-0.573796\pi\) |
0.991931 | + | 0.126776i | \(0.0404630\pi\) | |||||||
\(102\) | −0.734141 | + | 6.98488i | −0.0726908 | + | 0.691607i | ||||
\(103\) | −7.45326 | + | 0.783369i | −0.734391 | + | 0.0771876i | −0.464338 | − | 0.885658i | \(-0.653708\pi\) |
−0.270053 | + | 0.962845i | \(0.587041\pi\) | |||||||
\(104\) | 1.67561 | + | 0.544440i | 0.164307 | + | 0.0533867i | ||||
\(105\) | 2.54914 | − | 0.0623284i | 0.248771 | − | 0.00608263i | ||||
\(106\) | −2.29190 | − | 3.15453i | −0.222609 | − | 0.306395i | ||||
\(107\) | 6.07667 | + | 13.6484i | 0.587454 | + | 1.31944i | 0.925655 | + | 0.378369i | \(0.123515\pi\) |
−0.338201 | + | 0.941074i | \(0.609818\pi\) | |||||||
\(108\) | 0.743145 | + | 0.669131i | 0.0715091 | + | 0.0643871i | ||||
\(109\) | −2.64672 | + | 1.52808i | −0.253510 | + | 0.146364i | −0.621370 | − | 0.783517i | \(-0.713424\pi\) |
0.367860 | + | 0.929881i | \(0.380090\pi\) | |||||||
\(110\) | 3.09069 | − | 0.815504i | 0.294686 | − | 0.0777552i | ||||
\(111\) | 8.65449i | 0.821448i | ||||||||
\(112\) | 0.340791 | + | 2.62371i | 0.0322017 | + | 0.247917i | ||||
\(113\) | −15.2887 | − | 11.1079i | −1.43824 | − | 1.04494i | −0.988407 | − | 0.151831i | \(-0.951483\pi\) |
−0.449834 | − | 0.893112i | \(-0.648517\pi\) | |||||||
\(114\) | 0.300311 | + | 2.85727i | 0.0281267 | + | 0.267608i | ||||
\(115\) | 0.574375 | + | 2.70222i | 0.0535607 | + | 0.251983i | ||||
\(116\) | 2.14088 | + | 10.0720i | 0.198776 | + | 0.935166i | ||||
\(117\) | −0.184163 | − | 1.75219i | −0.0170259 | − | 0.161990i | ||||
\(118\) | 7.15662 | + | 5.19959i | 0.658820 | + | 0.478661i | ||||
\(119\) | 17.1552 | + | 7.14081i | 1.57262 | + | 0.654597i | ||||
\(120\) | 0.963773i | 0.0879800i | ||||||||
\(121\) | −9.48397 | − | 5.57264i | −0.862179 | − | 0.506604i | ||||
\(122\) | 9.96812 | − | 5.75510i | 0.902471 | − | 0.521042i | ||||
\(123\) | −0.847616 | − | 0.763197i | −0.0764269 | − | 0.0688151i | ||||
\(124\) | −3.16068 | − | 7.09901i | −0.283838 | − | 0.637510i | ||||
\(125\) | −5.13872 | − | 7.07285i | −0.459622 | − | 0.632615i | ||||
\(126\) | 2.25827 | − | 1.37849i | 0.201182 | − | 0.122805i | ||||
\(127\) | 0.937326 | + | 0.304556i | 0.0831742 | + | 0.0270249i | 0.350309 | − | 0.936634i | \(-0.386077\pi\) |
−0.267134 | + | 0.963659i | \(0.586077\pi\) | |||||||
\(128\) | −0.994522 | + | 0.104528i | −0.0879041 | + | 0.00923910i | ||||
\(129\) | −0.376851 | + | 3.58550i | −0.0331799 | + | 0.315685i | ||||
\(130\) | 1.13620 | − | 1.26187i | 0.0996509 | − | 0.110674i | ||||
\(131\) | −0.800607 | + | 1.38669i | −0.0699494 | + | 0.121156i | −0.898879 | − | 0.438197i | \(-0.855617\pi\) |
0.828929 | + | 0.559353i | \(0.188950\pi\) | |||||||
\(132\) | 2.35415 | − | 2.33623i | 0.204903 | − | 0.203343i | ||||
\(133\) | 7.47156 | + | 1.39818i | 0.647867 | + | 0.121237i | ||||
\(134\) | 14.4257 | − | 4.68721i | 1.24619 | − | 0.404913i | ||||
\(135\) | 0.880450 | − | 0.392002i | 0.0757771 | − | 0.0337381i | ||||
\(136\) | −2.85666 | + | 6.41616i | −0.244956 | + | 0.550181i | ||||
\(137\) | −21.7421 | + | 4.62142i | −1.85755 | + | 0.394834i | −0.993996 | − | 0.109421i | \(-0.965100\pi\) |
−0.863555 | + | 0.504255i | \(0.831767\pi\) | |||||||
\(138\) | 1.91802 | + | 2.13017i | 0.163272 | + | 0.181332i | ||||
\(139\) | 3.97749 | − | 2.88981i | 0.337366 | − | 0.245111i | −0.406184 | − | 0.913791i | \(-0.633141\pi\) |
0.743550 | + | 0.668681i | \(0.233141\pi\) | |||||||
\(140\) | 2.44364 | + | 0.728450i | 0.206525 | + | 0.0615653i | ||||
\(141\) | −0.576813 | − | 1.77525i | −0.0485765 | − | 0.149503i | ||||
\(142\) | −8.87500 | − | 5.12399i | −0.744774 | − | 0.429995i | ||||
\(143\) | −5.83649 | + | 0.283518i | −0.488072 | + | 0.0237089i | ||||
\(144\) | 0.500000 | + | 0.866025i | 0.0416667 | + | 0.0721688i | ||||
\(145\) | 9.70716 | + | 2.06332i | 0.806136 | + | 0.171349i | ||||
\(146\) | −4.40271 | + | 6.05981i | −0.364371 | + | 0.501514i | ||||
\(147\) | −1.78827 | − | 6.76772i | −0.147494 | − | 0.558192i | ||||
\(148\) | −2.67438 | + | 8.23091i | −0.219833 | + | 0.676576i | ||||
\(149\) | 5.55792 | − | 5.00437i | 0.455322 | − | 0.409974i | −0.409297 | − | 0.912401i | \(-0.634226\pi\) |
0.864620 | + | 0.502427i | \(0.167559\pi\) | |||||||
\(150\) | −3.71917 | − | 1.65588i | −0.303669 | − | 0.135202i | ||||
\(151\) | −3.54713 | − | 0.372819i | −0.288662 | − | 0.0303396i | −0.0409089 | − | 0.999163i | \(-0.513025\pi\) |
−0.247753 | + | 0.968823i | \(0.579692\pi\) | |||||||
\(152\) | −0.597331 | + | 2.81022i | −0.0484500 | + | 0.227939i | ||||
\(153\) | 7.02336 | 0.567805 | ||||||||
\(154\) | −4.14415 | − | 7.73473i | −0.333945 | − | 0.623282i | ||||
\(155\) | −7.48932 | −0.601557 | ||||||||
\(156\) | 0.366308 | − | 1.72334i | 0.0293281 | − | 0.137978i | ||||
\(157\) | 3.89073 | + | 0.408932i | 0.310514 | + | 0.0326363i | 0.258504 | − | 0.966010i | \(-0.416771\pi\) |
0.0520101 | + | 0.998647i | \(0.483437\pi\) | |||||||
\(158\) | 6.27752 | + | 2.79493i | 0.499413 | + | 0.222353i | ||||
\(159\) | −2.89768 | + | 2.60908i | −0.229801 | + | 0.206914i | ||||
\(160\) | −0.297822 | + | 0.916603i | −0.0235449 | + | 0.0724638i | ||||
\(161\) | 6.85074 | − | 3.25306i | 0.539914 | − | 0.256377i | ||||
\(162\) | 0.587785 | − | 0.809017i | 0.0461808 | − | 0.0635624i | ||||
\(163\) | −3.38186 | − | 0.718836i | −0.264888 | − | 0.0563036i | 0.0735532 | − | 0.997291i | \(-0.476566\pi\) |
−0.338441 | + | 0.940988i | \(0.609899\pi\) | |||||||
\(164\) | −0.570290 | − | 0.987771i | −0.0445321 | − | 0.0771319i | ||||
\(165\) | −1.13410 | − | 2.98852i | −0.0882897 | − | 0.232656i | ||||
\(166\) | 1.03193 | + | 0.595784i | 0.0800932 | + | 0.0462418i | ||||
\(167\) | 6.59906 | + | 20.3098i | 0.510650 | + | 1.57162i | 0.791059 | + | 0.611739i | \(0.209530\pi\) |
−0.280409 | + | 0.959881i | \(0.590470\pi\) | |||||||
\(168\) | 2.57372 | − | 0.613176i | 0.198567 | − | 0.0473076i | ||||
\(169\) | 8.00596 | − | 5.81667i | 0.615843 | − | 0.447436i | ||||
\(170\) | 4.52929 | + | 5.03029i | 0.347381 | + | 0.385806i | ||||
\(171\) | 2.81022 | − | 0.597331i | 0.214903 | − | 0.0456791i | ||||
\(172\) | −1.46639 | + | 3.29356i | −0.111811 | + | 0.251131i | ||||
\(173\) | −15.5108 | + | 6.90586i | −1.17927 | + | 0.525043i | −0.900305 | − | 0.435260i | \(-0.856656\pi\) |
−0.278960 | + | 0.960303i | \(0.589990\pi\) | |||||||
\(174\) | 9.79308 | − | 3.18197i | 0.742412 | − | 0.241224i | ||||
\(175\) | −7.00955 | + | 8.17836i | −0.529872 | + | 0.618226i | ||||
\(176\) | 2.96087 | − | 1.49441i | 0.223184 | − | 0.112646i | ||||
\(177\) | 4.42303 | − | 7.66092i | 0.332456 | − | 0.575830i | ||||
\(178\) | −0.0968774 | + | 0.107593i | −0.00726127 | + | 0.00806446i | ||||
\(179\) | −0.902876 | + | 8.59029i | −0.0674841 | + | 0.642068i | 0.907539 | + | 0.419967i | \(0.137958\pi\) |
−0.975024 | + | 0.222102i | \(0.928708\pi\) | |||||||
\(180\) | 0.958493 | − | 0.100742i | 0.0714419 | − | 0.00750884i | ||||
\(181\) | −9.74270 | − | 3.16560i | −0.724169 | − | 0.235297i | −0.0763394 | − | 0.997082i | \(-0.524323\pi\) |
−0.647830 | + | 0.761785i | \(0.724323\pi\) | |||||||
\(182\) | −4.09265 | − | 2.23133i | −0.303368 | − | 0.165397i | ||||
\(183\) | −6.76552 | − | 9.31194i | −0.500122 | − | 0.688359i | ||||
\(184\) | 1.16588 | + | 2.61862i | 0.0859500 | + | 0.193047i | ||||
\(185\) | 6.19854 | + | 5.58119i | 0.455726 | + | 0.410337i | ||||
\(186\) | −6.72974 | + | 3.88542i | −0.493449 | + | 0.284893i | ||||
\(187\) | 1.30799 | − | 23.2571i | 0.0956495 | − | 1.70073i | ||||
\(188\) | − | 1.86661i | − | 0.136136i | ||||||
\(189\) | −1.60699 | − | 2.10181i | −0.116891 | − | 0.152884i | ||||
\(190\) | 2.24011 | + | 1.62753i | 0.162514 | + | 0.118074i | ||||
\(191\) | −0.340172 | − | 3.23652i | −0.0246139 | − | 0.234186i | −0.999912 | − | 0.0132916i | \(-0.995769\pi\) |
0.975298 | − | 0.220894i | \(-0.0708976\pi\) | |||||||
\(192\) | 0.207912 | + | 0.978148i | 0.0150047 | + | 0.0705917i | ||||
\(193\) | −3.21461 | − | 15.1236i | −0.231393 | − | 1.08862i | −0.928408 | − | 0.371562i | \(-0.878822\pi\) |
0.697015 | − | 0.717056i | \(-0.254511\pi\) | |||||||
\(194\) | 1.47349 | + | 14.0193i | 0.105790 | + | 1.00653i | ||||
\(195\) | −1.37372 | − | 0.998069i | −0.0983745 | − | 0.0714732i | ||||
\(196\) | 0.390593 | − | 6.98909i | 0.0278995 | − | 0.499221i | ||||
\(197\) | − | 0.105970i | − | 0.00755008i | −0.999993 | − | 0.00377504i | \(-0.998798\pi\) | ||
0.999993 | − | 0.00377504i | \(-0.00120163\pi\) | |||||||
\(198\) | −2.56951 | − | 2.09705i | −0.182607 | − | 0.149031i | ||||
\(199\) | 23.3037 | − | 13.4544i | 1.65195 | − | 0.953756i | 0.675687 | − | 0.737189i | \(-0.263847\pi\) |
0.976268 | − | 0.216568i | \(-0.0694862\pi\) | |||||||
\(200\) | −3.02545 | − | 2.72413i | −0.213931 | − | 0.192625i | ||||
\(201\) | −6.16943 | − | 13.8568i | −0.435158 | − | 0.977381i | ||||
\(202\) | −6.72849 | − | 9.26097i | −0.473415 | − | 0.651599i | ||||
\(203\) | −0.665924 | − | 27.2353i | −0.0467387 | − | 1.91154i | ||||
\(204\) | 6.67961 | + | 2.17034i | 0.467666 | + | 0.151954i | ||||
\(205\) | −1.09324 | + | 0.114904i | −0.0763550 | + | 0.00802524i | ||||
\(206\) | −0.783369 | + | 7.45326i | −0.0545799 | + | 0.519293i | ||||
\(207\) | 1.91802 | − | 2.13017i | 0.133311 | − | 0.148057i | ||||
\(208\) | 0.880922 | − | 1.52580i | 0.0610809 | − | 0.105795i | ||||
\(209\) | −1.45464 | − | 9.41700i | −0.100620 | − | 0.651387i | ||||
\(210\) | 0.469030 | − | 2.50640i | 0.0323661 | − | 0.172958i | ||||
\(211\) | −22.7672 | + | 7.39751i | −1.56736 | + | 0.509266i | −0.958761 | − | 0.284213i | \(-0.908268\pi\) |
−0.608598 | + | 0.793479i | \(0.708268\pi\) | |||||||
\(212\) | −3.56211 | + | 1.58595i | −0.244646 | + | 0.108924i | ||||
\(213\) | −4.16823 | + | 9.36199i | −0.285602 | + | 0.641473i | ||||
\(214\) | 14.6136 | − | 3.10621i | 0.998964 | − | 0.212336i | ||||
\(215\) | 2.32499 | + | 2.58216i | 0.158563 | + | 0.176102i | ||||
\(216\) | 0.809017 | − | 0.587785i | 0.0550466 | − | 0.0399937i | ||||
\(217\) | 4.76489 | + | 19.9999i | 0.323462 | + | 1.35768i | ||||
\(218\) | 0.944408 | + | 2.90659i | 0.0639634 | + | 0.196859i | ||||
\(219\) | 6.48682 | + | 3.74517i | 0.438339 | + | 0.253075i | ||||
\(220\) | −0.155091 | − | 3.19271i | −0.0104563 | − | 0.215252i | ||||
\(221\) | −6.18703 | − | 10.7162i | −0.416185 | − | 0.720853i | ||||
\(222\) | 8.46537 | + | 1.79937i | 0.568158 | + | 0.120766i | ||||
\(223\) | −0.650660 | + | 0.895557i | −0.0435714 | + | 0.0599709i | −0.830247 | − | 0.557396i | \(-0.811801\pi\) |
0.786675 | + | 0.617367i | \(0.211801\pi\) | |||||||
\(224\) | 2.63723 | + | 0.212157i | 0.176207 | + | 0.0141753i | ||||
\(225\) | −1.25805 | + | 3.87189i | −0.0838701 | + | 0.258126i | ||||
\(226\) | −14.0439 | + | 12.6451i | −0.934184 | + | 0.841143i | ||||
\(227\) | −1.82763 | − | 0.813713i | −0.121304 | − | 0.0540080i | 0.345187 | − | 0.938534i | \(-0.387815\pi\) |
−0.466491 | + | 0.884526i | \(0.654482\pi\) | |||||||
\(228\) | 2.85727 | + | 0.300311i | 0.189227 | + | 0.0198886i | ||||
\(229\) | 2.31611 | − | 10.8965i | 0.153053 | − | 0.720058i | −0.832952 | − | 0.553345i | \(-0.813351\pi\) |
0.986005 | − | 0.166713i | \(-0.0533154\pi\) | |||||||
\(230\) | 2.76259 | 0.182160 | ||||||||
\(231\) | −7.25918 | + | 4.92994i | −0.477619 | + | 0.324366i | ||||
\(232\) | 10.2971 | 0.676035 | ||||||||
\(233\) | −2.35647 | + | 11.0863i | −0.154377 | + | 0.726288i | 0.831051 | + | 0.556196i | \(0.187740\pi\) |
−0.985428 | + | 0.170092i | \(0.945594\pi\) | |||||||
\(234\) | −1.75219 | − | 0.184163i | −0.114544 | − | 0.0120391i | ||||
\(235\) | −1.64346 | − | 0.731713i | −0.107207 | − | 0.0477317i | ||||
\(236\) | 6.57391 | − | 5.91917i | 0.427925 | − | 0.385305i | ||||
\(237\) | 2.12344 | − | 6.53528i | 0.137932 | − | 0.424512i | ||||
\(238\) | 10.5515 | − | 15.2957i | 0.683954 | − | 0.991472i | ||||
\(239\) | −1.62564 | + | 2.23750i | −0.105154 | + | 0.144732i | −0.858351 | − | 0.513063i | \(-0.828511\pi\) |
0.753197 | + | 0.657795i | \(0.228511\pi\) | |||||||
\(240\) | 0.942712 | + | 0.200380i | 0.0608518 | + | 0.0129345i | ||||
\(241\) | 6.99153 | + | 12.1097i | 0.450364 | + | 0.780053i | 0.998408 | − | 0.0563958i | \(-0.0179609\pi\) |
−0.548044 | + | 0.836449i | \(0.684628\pi\) | |||||||
\(242\) | −7.42270 | + | 8.11810i | −0.477149 | + | 0.521851i | ||||
\(243\) | −0.866025 | − | 0.500000i | −0.0555556 | − | 0.0320750i | ||||
\(244\) | −3.55685 | − | 10.9468i | −0.227704 | − | 0.700800i | ||||
\(245\) | −6.00044 | − | 3.08363i | −0.383354 | − | 0.197006i | ||||
\(246\) | −0.922748 | + | 0.670416i | −0.0588323 | + | 0.0427441i | ||||
\(247\) | −3.38700 | − | 3.76164i | −0.215509 | − | 0.239347i | ||||
\(248\) | −7.60103 | + | 1.61565i | −0.482666 | + | 0.102594i | ||||
\(249\) | 0.484654 | − | 1.08855i | 0.0307137 | − | 0.0689842i | ||||
\(250\) | −7.98669 | + | 3.55590i | −0.505123 | + | 0.224895i | ||||
\(251\) | −10.5867 | + | 3.43984i | −0.668229 | + | 0.217121i | −0.623435 | − | 0.781876i | \(-0.714263\pi\) |
−0.0447943 | + | 0.998996i | \(0.514263\pi\) | |||||||
\(252\) | −0.878844 | − | 2.49552i | −0.0553620 | − | 0.157203i | ||||
\(253\) | −6.69664 | − | 6.74802i | −0.421014 | − | 0.424244i | ||||
\(254\) | 0.492781 | − | 0.853522i | 0.0309198 | − | 0.0535547i | ||||
\(255\) | 4.52929 | − | 5.03029i | 0.283635 | − | 0.315009i | ||||
\(256\) | −0.104528 | + | 0.994522i | −0.00653303 | + | 0.0621576i | ||||
\(257\) | −21.4316 | + | 2.25255i | −1.33686 | + | 0.140510i | −0.745830 | − | 0.666136i | \(-0.767947\pi\) |
−0.591034 | + | 0.806646i | \(0.701280\pi\) | |||||||
\(258\) | 3.42879 | + | 1.11408i | 0.213467 | + | 0.0693597i | ||||
\(259\) | 10.9607 | − | 20.1038i | 0.681064 | − | 1.24919i | ||||
\(260\) | −0.998069 | − | 1.37372i | −0.0618976 | − | 0.0851948i | ||||
\(261\) | −4.18819 | − | 9.40683i | −0.259242 | − | 0.582268i | ||||
\(262\) | 1.18993 | + | 1.07142i | 0.0735144 | + | 0.0661926i | ||||
\(263\) | 1.15983 | − | 0.669631i | 0.0715185 | − | 0.0412912i | −0.463814 | − | 0.885932i | \(-0.653520\pi\) |
0.535333 | + | 0.844641i | \(0.320186\pi\) | |||||||
\(264\) | −1.79572 | − | 2.78844i | −0.110519 | − | 0.171616i | ||||
\(265\) | 3.75795i | 0.230849i | ||||||||
\(266\) | 2.92105 | − | 7.01759i | 0.179101 | − | 0.430276i | ||||
\(267\) | 0.117130 | + | 0.0851002i | 0.00716826 | + | 0.00520805i | ||||
\(268\) | −1.58550 | − | 15.0850i | −0.0968499 | − | 0.921465i | ||||
\(269\) | −3.71362 | − | 17.4712i | −0.226423 | − | 1.06524i | −0.933632 | − | 0.358233i | \(-0.883379\pi\) |
0.707209 | − | 0.707005i | \(-0.249954\pi\) | |||||||
\(270\) | −0.200380 | − | 0.942712i | −0.0121947 | − | 0.0573716i | ||||
\(271\) | −1.49222 | − | 14.1975i | −0.0906458 | − | 0.862438i | −0.941495 | − | 0.337027i | \(-0.890579\pi\) |
0.850849 | − | 0.525410i | \(-0.176088\pi\) | |||||||
\(272\) | 5.68202 | + | 4.12823i | 0.344523 | + | 0.250311i | ||||
\(273\) | −1.79131 | + | 4.30347i | −0.108415 | + | 0.260458i | ||||
\(274\) | 22.2278i | 1.34283i | ||||||||
\(275\) | 12.5870 | + | 4.88698i | 0.759027 | + | 0.294696i | ||||
\(276\) | 2.48240 | − | 1.43322i | 0.149423 | − | 0.0862695i | ||||
\(277\) | 9.14890 | + | 8.23770i | 0.549704 | + | 0.494956i | 0.896536 | − | 0.442972i | \(-0.146076\pi\) |
−0.346832 | + | 0.937927i | \(0.612742\pi\) | |||||||
\(278\) | −1.99970 | − | 4.49140i | −0.119934 | − | 0.269376i | ||||
\(279\) | 4.56758 | + | 6.28674i | 0.273454 | + | 0.376377i | ||||
\(280\) | 1.22059 | − | 2.23879i | 0.0729444 | − | 0.133793i | ||||
\(281\) | 27.2928 | + | 8.86795i | 1.62815 | + | 0.529018i | 0.973845 | − | 0.227214i | \(-0.0729615\pi\) |
0.654304 | + | 0.756231i | \(0.272962\pi\) | |||||||
\(282\) | −1.85638 | + | 0.195114i | −0.110546 | + | 0.0116188i | ||||
\(283\) | −1.78443 | + | 16.9777i | −0.106073 | + | 1.00922i | 0.803960 | + | 0.594683i | \(0.202723\pi\) |
−0.910033 | + | 0.414536i | \(0.863944\pi\) | |||||||
\(284\) | −6.85723 | + | 7.61573i | −0.406902 | + | 0.451910i | ||||
\(285\) | 1.38446 | − | 2.39796i | 0.0820085 | − | 0.142043i | ||||
\(286\) | −0.936153 | + | 5.76790i | −0.0553559 | + | 0.341063i | ||||
\(287\) | 1.00239 | + | 2.84634i | 0.0591693 | + | 0.168014i | ||||
\(288\) | 0.951057 | − | 0.309017i | 0.0560415 | − | 0.0182090i | ||||
\(289\) | 29.5327 | − | 13.1488i | 1.73722 | − | 0.773459i | ||||
\(290\) | 4.03646 | − | 9.06605i | 0.237029 | − | 0.532377i | ||||
\(291\) | 13.7885 | − | 2.93084i | 0.808297 | − | 0.171809i | ||||
\(292\) | 5.01202 | + | 5.56641i | 0.293306 | + | 0.325749i | ||||
\(293\) | −18.1582 | + | 13.1927i | −1.06081 | + | 0.770724i | −0.974238 | − | 0.225522i | \(-0.927591\pi\) |
−0.0865723 | + | 0.996246i | \(0.527591\pi\) | |||||||
\(294\) | −6.99164 | + | 0.342106i | −0.407760 | + | 0.0199520i | ||||
\(295\) | −2.63456 | − | 8.10833i | −0.153390 | − | 0.472085i | ||||
\(296\) | 7.49501 | + | 4.32724i | 0.435638 | + | 0.251516i | ||||
\(297\) | −1.81698 | + | 2.77463i | −0.105432 | + | 0.161001i | ||||
\(298\) | −3.73946 | − | 6.47693i | −0.216621 | − | 0.375199i | ||||
\(299\) | −4.93985 | − | 1.05000i | −0.285679 | − | 0.0607229i | ||||
\(300\) | −2.39296 | + | 3.29362i | −0.138157 | + | 0.190157i | ||||
\(301\) | 5.41634 | − | 7.85162i | 0.312193 | − | 0.452560i | ||||
\(302\) | −1.10216 | + | 3.39211i | −0.0634223 | + | 0.195194i | ||||
\(303\) | −8.50691 | + | 7.65966i | −0.488709 | + | 0.440036i | ||||
\(304\) | 2.62462 | + | 1.16856i | 0.150532 | + | 0.0670213i | ||||
\(305\) | −11.0324 | − | 1.15956i | −0.631716 | − | 0.0663960i | ||||
\(306\) | 1.46024 | − | 6.86988i | 0.0834763 | − | 0.392725i | ||||
\(307\) | −9.67780 | −0.552341 | −0.276171 | − | 0.961109i | \(-0.589065\pi\) | ||||
−0.276171 | + | 0.961109i | \(0.589065\pi\) | |||||||
\(308\) | −8.42732 | + | 2.44545i | −0.480191 | + | 0.139342i | ||||
\(309\) | 7.49431 | 0.426336 | ||||||||
\(310\) | −1.55712 | + | 7.32566i | −0.0884383 | + | 0.416070i | ||||
\(311\) | 1.00058 | + | 0.105165i | 0.0567377 | + | 0.00596337i | 0.132855 | − | 0.991136i | \(-0.457586\pi\) |
−0.0761171 | + | 0.997099i | \(0.524252\pi\) | |||||||
\(312\) | −1.60952 | − | 0.716606i | −0.0911214 | − | 0.0405698i | ||||
\(313\) | 14.3888 | − | 12.9558i | 0.813304 | − | 0.732303i | −0.153409 | − | 0.988163i | \(-0.549025\pi\) |
0.966714 | + | 0.255860i | \(0.0823586\pi\) | |||||||
\(314\) | 1.20892 | − | 3.72068i | 0.0682235 | − | 0.209970i | ||||
\(315\) | −2.54169 | − | 0.204471i | −0.143208 | − | 0.0115206i | ||||
\(316\) | 4.03903 | − | 5.55924i | 0.227213 | − | 0.312732i | ||||
\(317\) | 3.64450 | + | 0.774663i | 0.204696 | + | 0.0435094i | 0.309118 | − | 0.951024i | \(-0.399966\pi\) |
−0.104423 | + | 0.994533i | \(0.533299\pi\) | |||||||
\(318\) | 1.94960 | + | 3.37681i | 0.109328 | + | 0.189362i | ||||
\(319\) | −31.9297 | + | 12.1169i | −1.78772 | + | 0.678414i | ||||
\(320\) | 0.834652 | + | 0.481886i | 0.0466585 | + | 0.0269383i | ||||
\(321\) | −4.61673 | − | 14.2088i | −0.257681 | − | 0.793060i | ||||
\(322\) | −1.75763 | − | 7.37738i | −0.0979488 | − | 0.411125i | ||||
\(323\) | 16.3245 | − | 11.8604i | 0.908318 | − | 0.659931i | ||||
\(324\) | −0.669131 | − | 0.743145i | −0.0371739 | − | 0.0412858i | ||||
\(325\) | 7.01597 | − | 1.49129i | 0.389176 | − | 0.0827219i | ||||
\(326\) | −1.40626 | + | 3.15850i | −0.0778853 | + | 0.174933i | ||||
\(327\) | 2.79195 | − | 1.24306i | 0.154395 | − | 0.0687412i | ||||
\(328\) | −1.08476 | + | 0.352458i | −0.0598956 | + | 0.0194613i | ||||
\(329\) | −0.908404 | + | 4.85431i | −0.0500819 | + | 0.267627i | ||||
\(330\) | −3.15901 | + | 0.487971i | −0.173898 | + | 0.0268619i | ||||
\(331\) | 5.99443 | − | 10.3827i | 0.329484 | − | 0.570683i | −0.652926 | − | 0.757422i | \(-0.726459\pi\) |
0.982410 | + | 0.186739i | \(0.0597919\pi\) | |||||||
\(332\) | 0.797315 | − | 0.885508i | 0.0437583 | − | 0.0485985i | ||||
\(333\) | 0.904640 | − | 8.60708i | 0.0495740 | − | 0.471665i | ||||
\(334\) | 21.2380 | − | 2.23220i | 1.16209 | − | 0.122141i | ||||
\(335\) | −13.9031 | − | 4.51740i | −0.759610 | − | 0.246812i | ||||
\(336\) | −0.0646713 | − | 2.64496i | −0.00352811 | − | 0.144294i | ||||
\(337\) | 4.61395 | + | 6.35056i | 0.251338 | + | 0.345937i | 0.915979 | − | 0.401225i | \(-0.131416\pi\) |
−0.664641 | + | 0.747163i | \(0.731416\pi\) | |||||||
\(338\) | −4.02503 | − | 9.04036i | −0.218933 | − | 0.491731i | ||||
\(339\) | 14.0439 | + | 12.6451i | 0.762758 | + | 0.686790i | ||||
\(340\) | 5.86206 | − | 3.38446i | 0.317915 | − | 0.183548i | ||||
\(341\) | 21.6685 | − | 13.9543i | 1.17341 | − | 0.755665i | ||||
\(342\) | − | 2.87301i | − | 0.155354i | ||||||
\(343\) | −4.41709 | + | 17.9858i | −0.238501 | + | 0.971142i | ||||
\(344\) | 2.91671 | + | 2.11911i | 0.157258 | + | 0.114255i | ||||
\(345\) | −0.288769 | − | 2.74746i | −0.0155468 | − | 0.147918i | ||||
\(346\) | 3.53007 | + | 16.6077i | 0.189778 | + | 0.892834i | ||||
\(347\) | 0.855037 | + | 4.02263i | 0.0459008 | + | 0.215946i | 0.995120 | − | 0.0986679i | \(-0.0314582\pi\) |
−0.949220 | + | 0.314614i | \(0.898125\pi\) | |||||||
\(348\) | −1.07634 | − | 10.2406i | −0.0576976 | − | 0.548956i | ||||
\(349\) | 15.9673 | + | 11.6010i | 0.854712 | + | 0.620985i | 0.926441 | − | 0.376439i | \(-0.122852\pi\) |
−0.0717291 | + | 0.997424i | \(0.522852\pi\) | |||||||
\(350\) | 6.54228 | + | 8.55675i | 0.349700 | + | 0.457377i | ||||
\(351\) | 1.76184i | 0.0940402i | ||||||||
\(352\) | −0.846158 | − | 3.20687i | −0.0451003 | − | 0.170927i | ||||
\(353\) | −8.47114 | + | 4.89082i | −0.450873 | + | 0.260312i | −0.708199 | − | 0.706013i | \(-0.750492\pi\) |
0.257326 | + | 0.966325i | \(0.417159\pi\) | |||||||
\(354\) | −6.57391 | − | 5.91917i | −0.349399 | − | 0.314601i | ||||
\(355\) | 4.01722 | + | 9.02283i | 0.213212 | + | 0.478882i | ||||
\(356\) | 0.0851002 | + | 0.117130i | 0.00451030 | + | 0.00620790i | ||||
\(357\) | −16.3148 | − | 8.89490i | −0.863473 | − | 0.470768i | ||||
\(358\) | 8.21485 | + | 2.66917i | 0.434168 | + | 0.141070i | ||||
\(359\) | −5.09356 | + | 0.535355i | −0.268828 | + | 0.0282550i | −0.237983 | − | 0.971269i | \(-0.576486\pi\) |
−0.0308446 | + | 0.999524i | \(0.509820\pi\) | |||||||
\(360\) | 0.100742 | − | 0.958493i | 0.00530955 | − | 0.0505170i | ||||
\(361\) | −7.19037 | + | 7.98571i | −0.378440 | + | 0.420301i | ||||
\(362\) | −5.12204 | + | 8.87164i | −0.269209 | + | 0.466283i | ||||
\(363\) | 8.84951 | + | 6.53346i | 0.464479 | + | 0.342918i | ||||
\(364\) | −3.03348 | + | 3.53930i | −0.158997 | + | 0.185510i | ||||
\(365\) | 6.86566 | − | 2.23079i | 0.359365 | − | 0.116765i | ||||
\(366\) | −10.5151 | + | 4.68162i | −0.549632 | + | 0.244712i | ||||
\(367\) | 6.36907 | − | 14.3052i | 0.332463 | − | 0.746724i | −0.667535 | − | 0.744578i | \(-0.732651\pi\) |
0.999998 | − | 0.00214513i | \(-0.000682816\pi\) | |||||||
\(368\) | 2.80379 | − | 0.595965i | 0.146158 | − | 0.0310668i | ||||
\(369\) | 0.763197 | + | 0.847616i | 0.0397304 | + | 0.0441251i | ||||
\(370\) | 6.74798 | − | 4.90269i | 0.350811 | − | 0.254879i | ||||
\(371\) | 10.0355 | − | 2.39090i | 0.521015 | − | 0.124130i | ||||
\(372\) | 2.40132 | + | 7.39051i | 0.124503 | + | 0.383180i | ||||
\(373\) | 16.0531 | + | 9.26824i | 0.831196 | + | 0.479891i | 0.854262 | − | 0.519843i | \(-0.174009\pi\) |
−0.0230659 | + | 0.999734i | \(0.507343\pi\) | |||||||
\(374\) | −22.4769 | − | 6.11483i | −1.16225 | − | 0.316190i | ||||
\(375\) | 4.37126 | + | 7.57125i | 0.225731 | + | 0.390977i | ||||
\(376\) | −1.82582 | − | 0.388090i | −0.0941594 | − | 0.0200142i | ||||
\(377\) | −10.6635 | + | 14.6770i | −0.549197 | + | 0.755905i | ||||
\(378\) | −2.38999 | + | 1.13488i | −0.122928 | + | 0.0583721i | ||||
\(379\) | −1.56078 | + | 4.80357i | −0.0801717 | + | 0.246743i | −0.983106 | − | 0.183034i | \(-0.941408\pi\) |
0.902935 | + | 0.429777i | \(0.141408\pi\) | |||||||
\(380\) | 2.05771 | − | 1.85277i | 0.105558 | − | 0.0950452i | ||||
\(381\) | −0.900356 | − | 0.400864i | −0.0461266 | − | 0.0205369i | ||||
\(382\) | −3.23652 | − | 0.340172i | −0.165595 | − | 0.0174047i | ||||
\(383\) | −5.45574 | + | 25.6672i | −0.278775 | + | 1.31153i | 0.586383 | + | 0.810034i | \(0.300551\pi\) |
−0.865158 | + | 0.501500i | \(0.832782\pi\) | |||||||
\(384\) | 1.00000 | 0.0510310 | ||||||||
\(385\) | −1.15043 | + | 8.37846i | −0.0586315 | + | 0.427006i | ||||
\(386\) | −15.4614 | −0.786966 | ||||||||
\(387\) | 0.749573 | − | 3.52646i | 0.0381029 | − | 0.179260i | ||||
\(388\) | 14.0193 | + | 1.47349i | 0.711724 | + | 0.0748052i | ||||
\(389\) | 25.1572 | + | 11.2007i | 1.27552 | + | 0.567899i | 0.928978 | − | 0.370135i | \(-0.120689\pi\) |
0.346544 | + | 0.938034i | \(0.387355\pi\) | |||||||
\(390\) | −1.26187 | + | 1.13620i | −0.0638974 | + | 0.0575335i | ||||
\(391\) | 6.22112 | − | 19.1467i | 0.314616 | − | 0.968288i | ||||
\(392\) | −6.75516 | − | 1.83517i | −0.341187 | − | 0.0926902i | ||||
\(393\) | 0.941170 | − | 1.29541i | 0.0474758 | − | 0.0653448i | ||||
\(394\) | −0.103655 | − | 0.0220325i | −0.00522205 | − | 0.00110998i | ||||
\(395\) | −3.31133 | − | 5.73540i | −0.166611 | − | 0.288579i | ||||
\(396\) | −2.58546 | + | 2.07736i | −0.129924 | + | 0.104391i | ||||
\(397\) | −3.97407 | − | 2.29443i | −0.199453 | − | 0.115154i | 0.396947 | − | 0.917841i | \(-0.370070\pi\) |
−0.596400 | + | 0.802687i | \(0.703403\pi\) | |||||||
\(398\) | −8.31527 | − | 25.5918i | −0.416807 | − | 1.28280i | ||||
\(399\) | −7.28448 | − | 2.17151i | −0.364680 | − | 0.108711i | ||||
\(400\) | −3.29362 | + | 2.39296i | −0.164681 | + | 0.119648i | ||||
\(401\) | 18.2810 | + | 20.3031i | 0.912910 | + | 1.01389i | 0.999844 | + | 0.0176749i | \(0.00562638\pi\) |
−0.0869341 | + | 0.996214i | \(0.527707\pi\) | |||||||
\(402\) | −14.8367 | + | 3.15363i | −0.739986 | + | 0.157289i | ||||
\(403\) | 5.56863 | − | 12.5073i | 0.277393 | − | 0.623035i | ||||
\(404\) | −10.4575 | + | 4.65599i | −0.520281 | + | 0.231644i | ||||
\(405\) | −0.916603 | + | 0.297822i | −0.0455463 | + | 0.0147989i | ||||
\(406\) | −26.7786 | − | 5.01117i | −1.32900 | − | 0.248700i | ||||
\(407\) | −28.3329 | − | 4.59855i | −1.40441 | − | 0.227942i | ||||
\(408\) | 3.51168 | − | 6.08241i | 0.173854 | − | 0.301124i | ||||
\(409\) | −23.3096 | + | 25.8879i | −1.15259 | + | 1.28008i | −0.198648 | + | 0.980071i | \(0.563655\pi\) |
−0.953938 | + | 0.300005i | \(0.903012\pi\) | |||||||
\(410\) | −0.114904 | + | 1.09324i | −0.00567470 | + | 0.0539912i | ||||
\(411\) | 22.1060 | − | 2.32344i | 1.09041 | − | 0.114607i | ||||
\(412\) | 7.12751 | + | 2.31587i | 0.351147 | + | 0.114095i | ||||
\(413\) | −19.9768 | + | 12.1942i | −0.982993 | + | 0.600037i | ||||
\(414\) | −1.68485 | − | 2.31899i | −0.0828057 | − | 0.113972i | ||||
\(415\) | −0.467097 | − | 1.04912i | −0.0229289 | − | 0.0514991i | ||||
\(416\) | −1.30930 | − | 1.17890i | −0.0641939 | − | 0.0578005i | ||||
\(417\) | −4.25777 | + | 2.45822i | −0.208504 | + | 0.120380i | ||||
\(418\) | −9.51365 | − | 0.535051i | −0.465328 | − | 0.0261702i | ||||
\(419\) | 20.1862i | 0.986160i | 0.869984 | + | 0.493080i | \(0.164129\pi\) | ||||
−0.869984 | + | 0.493080i | \(0.835871\pi\) | |||||||
\(420\) | −2.35411 | − | 0.979889i | −0.114869 | − | 0.0478137i | ||||
\(421\) | −15.2891 | − | 11.1082i | −0.745145 | − | 0.541380i | 0.149173 | − | 0.988811i | \(-0.452339\pi\) |
−0.894318 | + | 0.447432i | \(0.852339\pi\) | |||||||
\(422\) | 2.50229 | + | 23.8077i | 0.121810 | + | 1.15894i | ||||
\(423\) | 0.388090 | + | 1.82582i | 0.0188696 | + | 0.0887743i | ||||
\(424\) | 0.810691 | + | 3.81400i | 0.0393706 | + | 0.185224i | ||||
\(425\) | 2.98879 | + | 28.4365i | 0.144978 | + | 1.37937i | ||||
\(426\) | 8.29078 | + | 6.02361i | 0.401690 | + | 0.291845i | ||||
\(427\) | 3.92257 | + | 30.1994i | 0.189826 | + | 1.46145i | ||||
\(428\) | − | 14.9401i | − | 0.722155i | ||||||
\(429\) | 5.83415 | + | 0.328115i | 0.281676 | + | 0.0158415i | ||||
\(430\) | 3.00913 | − | 1.73732i | 0.145113 | − | 0.0837810i | ||||
\(431\) | 17.5381 | + | 15.7914i | 0.844780 | + | 0.760644i | 0.972927 | − | 0.231111i | \(-0.0742362\pi\) |
−0.128147 | + | 0.991755i | \(0.540903\pi\) | |||||||
\(432\) | −0.406737 | − | 0.913545i | −0.0195691 | − | 0.0439530i | ||||
\(433\) | 8.48649 | + | 11.6806i | 0.407835 | + | 0.561336i | 0.962689 | − | 0.270612i | \(-0.0872259\pi\) |
−0.554854 | + | 0.831948i | \(0.687226\pi\) | |||||||
\(434\) | 20.5536 | − | 0.502550i | 0.986602 | − | 0.0241232i | ||||
\(435\) | −9.43831 | − | 3.06669i | −0.452532 | − | 0.147037i | ||||
\(436\) | 3.03943 | − | 0.319457i | 0.145562 | − | 0.0152992i | ||||
\(437\) | 0.860821 | − | 8.19016i | 0.0411786 | − | 0.391789i | ||||
\(438\) | 5.01202 | − | 5.56641i | 0.239483 | − | 0.265973i | ||||
\(439\) | 19.5226 | − | 33.8141i | 0.931761 | − | 1.61386i | 0.151452 | − | 0.988465i | \(-0.451605\pi\) |
0.780310 | − | 0.625393i | \(-0.215061\pi\) | |||||||
\(440\) | −3.15519 | − | 0.512099i | −0.150418 | − | 0.0244134i | ||||
\(441\) | 1.07106 | + | 6.91757i | 0.0510027 | + | 0.329408i | ||||
\(442\) | −11.7684 | + | 3.82379i | −0.559767 | + | 0.181879i | ||||
\(443\) | −17.5523 | + | 7.81477i | −0.833933 | + | 0.371291i | −0.778865 | − | 0.627192i | \(-0.784204\pi\) |
−0.0550680 | + | 0.998483i | \(0.517538\pi\) | |||||||
\(444\) | 3.52010 | − | 7.90627i | 0.167056 | − | 0.375215i | ||||
\(445\) | 0.136487 | − | 0.0290112i | 0.00647010 | − | 0.00137526i | ||||
\(446\) | 0.740707 | + | 0.822638i | 0.0350735 | + | 0.0389531i | ||||
\(447\) | −6.05057 | + | 4.39600i | −0.286182 | + | 0.207923i | ||||
\(448\) | 0.755832 | − | 2.53549i | 0.0357097 | − | 0.119791i | ||||
\(449\) | −2.09813 | − | 6.45739i | −0.0990170 | − | 0.304743i | 0.889263 | − | 0.457397i | \(-0.151218\pi\) |
−0.988280 | + | 0.152654i | \(0.951218\pi\) | |||||||
\(450\) | 3.52571 | + | 2.03557i | 0.166204 | + | 0.0959577i | ||||
\(451\) | 2.94892 | − | 2.36939i | 0.138859 | − | 0.111570i | ||||
\(452\) | 9.44894 | + | 16.3660i | 0.444441 | + | 0.769794i | ||||
\(453\) | 3.48873 | + | 0.741553i | 0.163915 | + | 0.0348412i | ||||
\(454\) | −1.17592 | + | 1.61851i | −0.0551885 | + | 0.0759605i | ||||
\(455\) | 1.92705 | + | 4.05824i | 0.0903415 | + | 0.190253i | ||||
\(456\) | 0.887808 | − | 2.73239i | 0.0415754 | − | 0.127956i | ||||
\(457\) | −8.40822 | + | 7.57079i | −0.393320 | + | 0.354147i | −0.841936 | − | 0.539578i | \(-0.818584\pi\) |
0.448616 | + | 0.893725i | \(0.351917\pi\) | |||||||
\(458\) | −10.1768 | − | 4.53100i | −0.475530 | − | 0.211720i | ||||
\(459\) | −6.98488 | − | 0.734141i | −0.326026 | − | 0.0342668i | ||||
\(460\) | 0.574375 | − | 2.70222i | 0.0267804 | − | 0.125992i | ||||
\(461\) | −24.0471 | −1.11999 | −0.559993 | − | 0.828497i | \(-0.689196\pi\) | ||||
−0.559993 | + | 0.828497i | \(0.689196\pi\) | |||||||
\(462\) | 3.31294 | + | 8.12554i | 0.154132 | + | 0.378034i | ||||
\(463\) | −7.00749 | −0.325666 | −0.162833 | − | 0.986654i | \(-0.552063\pi\) | ||||
−0.162833 | + | 0.986654i | \(0.552063\pi\) | |||||||
\(464\) | 2.14088 | − | 10.0720i | 0.0993878 | − | 0.467583i | ||||
\(465\) | 7.44830 | + | 0.782847i | 0.345406 | + | 0.0363037i | ||||
\(466\) | 10.3541 | + | 4.60994i | 0.479644 | + | 0.213551i | ||||
\(467\) | −10.4679 | + | 9.42532i | −0.484396 | + | 0.436152i | −0.874795 | − | 0.484494i | \(-0.839004\pi\) |
0.390399 | + | 0.920646i | \(0.372337\pi\) | |||||||
\(468\) | −0.544440 | + | 1.67561i | −0.0251667 | + | 0.0774552i | ||||
\(469\) | −3.21802 | + | 40.0019i | −0.148594 | + | 1.84711i | ||||
\(470\) | −1.05742 | + | 1.45541i | −0.0487750 | + | 0.0671331i | ||||
\(471\) | −3.82667 | − | 0.813384i | −0.176324 | − | 0.0374787i | ||||
\(472\) | −4.42303 | − | 7.66092i | −0.203587 | − | 0.352622i | ||||
\(473\) | −11.5379 | − | 3.13888i | −0.530514 | − | 0.144326i | ||||
\(474\) | −5.95098 | − | 3.43580i | −0.273338 | − | 0.157812i | ||||
\(475\) | 3.61439 | + | 11.1240i | 0.165840 | + | 0.510402i | ||||
\(476\) | −12.7677 | − | 13.5011i | −0.585204 | − | 0.618822i | ||||
\(477\) | 3.15453 | − | 2.29190i | 0.144436 | − | 0.104939i | ||||
\(478\) | 1.85062 | + | 2.05532i | 0.0846453 | + | 0.0940081i | ||||
\(479\) | 11.1425 | − | 2.36841i | 0.509112 | − | 0.108215i | 0.0538085 | − | 0.998551i | \(-0.482864\pi\) |
0.455304 | + | 0.890336i | \(0.349531\pi\) | |||||||
\(480\) | 0.392002 | − | 0.880450i | 0.0178924 | − | 0.0401869i | ||||
\(481\) | −13.9296 | + | 6.20186i | −0.635135 | + | 0.282781i | ||||
\(482\) | 13.2987 | − | 4.32100i | 0.605738 | − | 0.196816i | ||||
\(483\) | −7.15325 | + | 2.51915i | −0.325484 | + | 0.114625i | ||||
\(484\) | 6.39744 | + | 8.94834i | 0.290793 | + | 0.406743i | ||||
\(485\) | 6.79294 | − | 11.7657i | 0.308451 | − | 0.534253i | ||||
\(486\) | −0.669131 | + | 0.743145i | −0.0303524 | + | 0.0337097i | ||||
\(487\) | 2.52771 | − | 24.0496i | 0.114542 | − | 1.08979i | −0.774693 | − | 0.632338i | \(-0.782095\pi\) |
0.889234 | − | 0.457452i | \(-0.151238\pi\) | |||||||
\(488\) | −11.4471 | + | 1.20314i | −0.518188 | + | 0.0544637i | ||||
\(489\) | 3.28819 | + | 1.06840i | 0.148697 | + | 0.0483147i | ||||
\(490\) | −4.26381 | + | 5.22819i | −0.192619 | + | 0.236186i | ||||
\(491\) | 1.34703 | + | 1.85402i | 0.0607904 | + | 0.0836708i | 0.838330 | − | 0.545163i | \(-0.183532\pi\) |
−0.777539 | + | 0.628834i | \(0.783532\pi\) | |||||||
\(492\) | 0.463915 | + | 1.04197i | 0.0209149 | + | 0.0469757i | ||||
\(493\) | −53.7442 | − | 48.3915i | −2.42052 | − | 2.17944i | ||||
\(494\) | −4.38364 | + | 2.53089i | −0.197229 | + | 0.113870i | ||||
\(495\) | 0.815504 | + | 3.09069i | 0.0366542 | + | 0.138916i | ||||
\(496\) | 7.77084i | 0.348921i | ||||||||
\(497\) | 21.5392 | − | 16.4684i | 0.966167 | − | 0.738708i | ||||
\(498\) | −0.963999 | − | 0.700386i | −0.0431978 | − | 0.0313851i | ||||
\(499\) | −1.10843 | − | 10.5460i | −0.0496203 | − | 0.472106i | −0.990912 | − | 0.134511i | \(-0.957054\pi\) |
0.941292 | − | 0.337594i | \(-0.109613\pi\) | |||||||
\(500\) | 1.81767 | + | 8.55148i | 0.0812888 | + | 0.382434i | ||||
\(501\) | −4.43995 | − | 20.8883i | −0.198362 | − | 0.933222i | ||||
\(502\) | 1.16356 | + | 11.0706i | 0.0519324 | + | 0.494104i | ||||
\(503\) | 0.569387 | + | 0.413684i | 0.0253877 | + | 0.0184453i | 0.600407 | − | 0.799695i | \(-0.295005\pi\) |
−0.575019 | + | 0.818140i | \(0.695005\pi\) | |||||||
\(504\) | −2.62371 | + | 0.340791i | −0.116869 | + | 0.0151800i | ||||
\(505\) | 11.0325i | 0.490939i | ||||||||
\(506\) | −7.99287 | + | 5.14731i | −0.355326 | + | 0.228826i | ||||
\(507\) | −8.57011 | + | 4.94795i | −0.380612 | + | 0.219746i | ||||
\(508\) | −0.732416 | − | 0.659470i | −0.0324957 | − | 0.0292593i | ||||
\(509\) | 2.47910 | + | 5.56816i | 0.109884 | + | 0.246804i | 0.960115 | − | 0.279607i | \(-0.0902041\pi\) |
−0.850230 | + | 0.526411i | \(0.823537\pi\) | |||||||
\(510\) | −3.97867 | − | 5.47617i | −0.176179 | − | 0.242489i | ||||
\(511\) | −10.3253 | − | 16.9152i | −0.456766 | − | 0.748284i | ||||
\(512\) | 0.951057 | + | 0.309017i | 0.0420312 | + | 0.0136568i | ||||
\(513\) | −2.85727 | + | 0.300311i | −0.126151 | + | 0.0132590i | ||||
\(514\) | −2.25255 | + | 21.4316i | −0.0993556 | + | 0.945306i | ||||
\(515\) | 4.83301 | − | 5.36760i | 0.212968 | − | 0.236525i | ||||
\(516\) | 1.80262 | − | 3.12224i | 0.0793561 | − | 0.137449i | ||||
\(517\) | 6.11827 | − | 0.945088i | 0.269081 | − | 0.0415649i | ||||
\(518\) | −17.3857 | − | 14.9010i | −0.763883 | − | 0.654712i | ||||
\(519\) | 16.1477 | − | 5.24671i | 0.708805 | − | 0.230305i | ||||
\(520\) | −1.55122 | + | 0.690646i | −0.0680253 | + | 0.0302868i | ||||
\(521\) | −9.96541 | + | 22.3827i | −0.436592 | + | 0.980603i | 0.552528 | + | 0.833494i | \(0.313663\pi\) |
−0.989120 | + | 0.147108i | \(0.953003\pi\) | |||||||
\(522\) | −10.0720 | + | 2.14088i | −0.440841 | + | 0.0937037i | ||||
\(523\) | −12.0810 | − | 13.4173i | −0.528263 | − | 0.586696i | 0.418665 | − | 0.908141i | \(-0.362498\pi\) |
−0.946928 | + | 0.321445i | \(0.895832\pi\) | |||||||
\(524\) | 1.29541 | − | 0.941170i | 0.0565902 | − | 0.0411152i | ||||
\(525\) | 7.82602 | − | 7.40086i | 0.341555 | − | 0.323000i | ||||
\(526\) | −0.413855 | − | 1.27371i | −0.0180449 | − | 0.0555365i | ||||
\(527\) | 47.2654 | + | 27.2887i | 2.05891 | + | 1.18871i | ||||
\(528\) | −3.10086 | + | 1.17673i | −0.134947 | + | 0.0512107i | ||||
\(529\) | 7.39178 | + | 12.8029i | 0.321382 | + | 0.556650i | ||||
\(530\) | 3.67583 | + | 0.781322i | 0.159668 | + | 0.0339385i | ||||
\(531\) | −5.19959 | + | 7.15662i | −0.225643 | + | 0.310571i | ||||
\(532\) | −6.25692 | − | 4.31626i | −0.271272 | − | 0.187133i | ||||
\(533\) | 0.620977 | − | 1.91117i | 0.0268975 | − | 0.0827819i | ||||
\(534\) | 0.107593 | − | 0.0968774i | 0.00465602 | − | 0.00419230i | ||||
\(535\) | −13.1540 | − | 5.85653i | −0.568696 | − | 0.253200i | ||||
\(536\) | −15.0850 | − | 1.58550i | −0.651574 | − | 0.0684832i | ||||
\(537\) | 1.79586 | − | 8.44885i | 0.0774971 | − | 0.364595i | ||||
\(538\) | −17.8615 | −0.770065 | ||||||||
\(539\) | 23.1063 | − | 2.25840i | 0.995257 | − | 0.0972763i | ||||
\(540\) | −0.963773 | −0.0414742 | ||||||||
\(541\) | −7.08073 | + | 33.3122i | −0.304424 | + | 1.43220i | 0.514099 | + | 0.857731i | \(0.328126\pi\) |
−0.818524 | + | 0.574473i | \(0.805207\pi\) | |||||||
\(542\) | −14.1975 | − | 1.49222i | −0.609836 | − | 0.0640963i | ||||
\(543\) | 9.35843 | + | 4.16664i | 0.401609 | + | 0.178808i | ||||
\(544\) | 5.21937 | − | 4.69954i | 0.223779 | − | 0.201491i | ||||
\(545\) | 0.910195 | − | 2.80129i | 0.0389885 | − | 0.119994i | ||||
\(546\) | 3.83700 | + | 2.64690i | 0.164208 | + | 0.113277i | ||||
\(547\) | −7.76844 | + | 10.6923i | −0.332154 | + | 0.457171i | −0.942129 | − | 0.335249i | \(-0.891179\pi\) |
0.609975 | + | 0.792421i | \(0.291179\pi\) | |||||||
\(548\) | 21.7421 | + | 4.62142i | 0.928775 | + | 0.197417i | ||||
\(549\) | 5.75510 | + | 9.96812i | 0.245622 | + | 0.425429i | ||||
\(550\) | 7.39718 | − | 11.2959i | 0.315417 | − | 0.481660i | ||||
\(551\) | −25.6201 | − | 14.7918i | −1.09145 | − | 0.630150i | ||||
\(552\) | −0.885776 | − | 2.72614i | −0.0377011 | − | 0.116032i | ||||
\(553\) | −13.2094 | + | 12.4918i | −0.561720 | + | 0.531205i | ||||
\(554\) | 9.95985 | − | 7.23626i | 0.423154 | − | 0.307439i | ||||
\(555\) | −5.58119 | − | 6.19854i | −0.236908 | − | 0.263113i | ||||
\(556\) | −4.80901 | + | 1.02219i | −0.203947 | + | 0.0433504i | ||||
\(557\) | 8.96711 | − | 20.1405i | 0.379949 | − | 0.853379i | −0.617801 | − | 0.786334i | \(-0.711976\pi\) |
0.997750 | − | 0.0670446i | \(-0.0213570\pi\) | |||||||
\(558\) | 7.09901 | − | 3.16068i | 0.300525 | − | 0.133802i | ||||
\(559\) | −6.04100 | + | 1.96284i | −0.255507 | + | 0.0830192i | ||||
\(560\) | −1.93609 | − | 1.65939i | −0.0818146 | − | 0.0701220i | ||||
\(561\) | −3.73185 | + | 22.9930i | −0.157559 | + | 0.970764i | ||||
\(562\) | 14.3487 | − | 24.8526i | 0.605261 | − | 1.04834i | ||||
\(563\) | 14.6665 | − | 16.2888i | 0.618121 | − | 0.686493i | −0.350065 | − | 0.936725i | \(-0.613840\pi\) |
0.968186 | + | 0.250233i | \(0.0805071\pi\) | |||||||
\(564\) | −0.195114 | + | 1.85638i | −0.00821577 | + | 0.0781678i | ||||
\(565\) | 18.1135 | − | 1.90380i | 0.762040 | − | 0.0800937i | ||||
\(566\) | 16.2357 | + | 5.27529i | 0.682437 | + | 0.221737i | ||||
\(567\) | 1.37849 | + | 2.25827i | 0.0578910 | + | 0.0948383i | ||||
\(568\) | 6.02361 | + | 8.29078i | 0.252745 | + | 0.347874i | ||||
\(569\) | 6.58033 | + | 14.7797i | 0.275862 | + | 0.619596i | 0.997344 | − | 0.0728373i | \(-0.0232054\pi\) |
−0.721482 | + | 0.692433i | \(0.756539\pi\) | |||||||
\(570\) | −2.05771 | − | 1.85277i | −0.0861881 | − | 0.0776041i | ||||
\(571\) | −1.86917 | + | 1.07917i | −0.0782223 | + | 0.0451617i | −0.538601 | − | 0.842561i | \(-0.681047\pi\) |
0.460379 | + | 0.887723i | \(0.347714\pi\) | |||||||
\(572\) | 5.44722 | + | 2.11491i | 0.227760 | + | 0.0884288i | ||||
\(573\) | 3.25434i | 0.135952i | ||||||||
\(574\) | 2.99255 | − | 0.388699i | 0.124907 | − | 0.0162240i | ||||
\(575\) | 9.44095 | + | 6.85925i | 0.393715 | + | 0.286050i | ||||
\(576\) | −0.104528 | − | 0.994522i | −0.00435535 | − | 0.0414384i | ||||
\(577\) | −6.88252 | − | 32.3797i | −0.286523 | − | 1.34798i | −0.852139 | − | 0.523316i | \(-0.824695\pi\) |
0.565616 | − | 0.824669i | \(-0.308639\pi\) | |||||||
\(578\) | −6.72128 | − | 31.6211i | −0.279568 | − | 1.31527i | ||||
\(579\) | 1.61616 | + | 15.3767i | 0.0671653 | + | 0.639035i | ||||
\(580\) | −8.02870 | − | 5.83320i | −0.333374 | − | 0.242210i | ||||
\(581\) | −2.50444 | + | 1.91484i | −0.103902 | + | 0.0794408i | ||||
\(582\) | − | 14.0966i | − | 0.584321i | ||||||
\(583\) | −7.00189 | − | 10.8727i | −0.289989 | − | 0.450301i | ||||
\(584\) | 6.48682 | − | 3.74517i | 0.268427 | − | 0.154976i | ||||
\(585\) | 1.26187 | + | 1.13620i | 0.0521720 | + | 0.0469759i | ||||
\(586\) | 9.12909 | + | 20.5043i | 0.377119 | + | 0.847023i | ||||
\(587\) | −13.9702 | − | 19.2283i | −0.576612 | − | 0.793639i | 0.416707 | − | 0.909041i | \(-0.363184\pi\) |
−0.993319 | + | 0.115402i | \(0.963184\pi\) | |||||||
\(588\) | −1.11901 | + | 6.90998i | −0.0461473 | + | 0.284963i | ||||
\(589\) | 21.2330 | + | 6.89901i | 0.874889 | + | 0.284269i | ||||
\(590\) | −8.47890 | + | 0.891168i | −0.349071 | + | 0.0366888i | ||||
\(591\) | −0.0110769 | + | 0.105390i | −0.000455644 | + | 0.00433516i | ||||
\(592\) | 5.79098 | − | 6.43154i | 0.238008 | − | 0.264335i | ||||
\(593\) | −0.526537 | + | 0.911990i | −0.0216223 | + | 0.0374509i | −0.876634 | − | 0.481158i | \(-0.840216\pi\) |
0.855012 | + | 0.518609i | \(0.173550\pi\) | |||||||
\(594\) | 2.33623 | + | 2.35415i | 0.0958566 | + | 0.0965920i | ||||
\(595\) | −16.8920 | + | 5.94883i | −0.692504 | + | 0.243878i | ||||
\(596\) | −7.11287 | + | 2.31111i | −0.291355 | + | 0.0946668i | ||||
\(597\) | −24.5824 | + | 10.9448i | −1.00609 | + | 0.447940i | ||||
\(598\) | −2.05410 | + | 4.61359i | −0.0839985 | + | 0.188664i | ||||
\(599\) | 5.49874 | − | 1.16879i | 0.224672 | − | 0.0477556i | −0.0941998 | − | 0.995553i | \(-0.530029\pi\) |
0.318872 | + | 0.947798i | \(0.396696\pi\) | |||||||
\(600\) | 2.72413 | + | 3.02545i | 0.111212 | + | 0.123513i | ||||
\(601\) | 30.3448 | − | 22.0468i | 1.23779 | − | 0.899306i | 0.240339 | − | 0.970689i | \(-0.422741\pi\) |
0.997449 | + | 0.0713830i | \(0.0227412\pi\) | |||||||
\(602\) | −6.55392 | − | 6.93042i | −0.267118 | − | 0.282463i | ||||
\(603\) | 4.68721 | + | 14.4257i | 0.190878 | + | 0.587462i | ||||
\(604\) | 3.08883 | + | 1.78334i | 0.125683 | + | 0.0725629i | ||||
\(605\) | 10.3864 | − | 2.12486i | 0.422266 | − | 0.0863879i | ||||
\(606\) | 5.72359 | + | 9.91355i | 0.232505 | + | 0.402710i | ||||
\(607\) | −12.1536 | − | 2.58332i | −0.493298 | − | 0.104854i | −0.0454559 | − | 0.998966i | \(-0.514474\pi\) |
−0.447842 | + | 0.894113i | \(0.647807\pi\) | |||||||
\(608\) | 1.68871 | − | 2.32431i | 0.0684862 | − | 0.0942632i | ||||
\(609\) | −2.18459 | + | 27.1557i | −0.0885240 | + | 1.10041i | ||||
\(610\) | −3.42799 | + | 10.5503i | −0.138795 | + | 0.427168i | ||||
\(611\) | 2.44396 | − | 2.20055i | 0.0988720 | − | 0.0890247i | ||||
\(612\) | −6.41616 | − | 2.85666i | −0.259358 | − | 0.115474i | ||||
\(613\) | 21.8503 | + | 2.29656i | 0.882525 | + | 0.0927571i | 0.534939 | − | 0.844891i | \(-0.320335\pi\) |
0.347586 | + | 0.937648i | \(0.387001\pi\) | |||||||
\(614\) | −2.01213 | + | 9.46631i | −0.0812028 | + | 0.382029i | ||||
\(615\) | 1.09926 | 0.0443264 | ||||||||
\(616\) | 0.639868 | + | 8.75160i | 0.0257810 | + | 0.352612i | ||||
\(617\) | 9.52091 | 0.383298 | 0.191649 | − | 0.981464i | \(-0.438617\pi\) | ||||
0.191649 | + | 0.981464i | \(0.438617\pi\) | |||||||
\(618\) | 1.55816 | − | 7.33054i | 0.0626782 | − | 0.294878i | ||||
\(619\) | 38.8604 | + | 4.08440i | 1.56193 | + | 0.164166i | 0.845686 | − | 0.533681i | \(-0.179192\pi\) |
0.716247 | + | 0.697847i | \(0.245858\pi\) | |||||||
\(620\) | 6.84184 | + | 3.04618i | 0.274775 | + | 0.122338i | ||||
\(621\) | −2.13017 | + | 1.91802i | −0.0854810 | + | 0.0769674i | ||||
\(622\) | 0.310900 | − | 0.956850i | 0.0124659 | − | 0.0383662i | ||||
\(623\) | −0.164310 | − | 0.346025i | −0.00658292 | − | 0.0138632i | ||||
\(624\) | −1.03559 | + | 1.42536i | −0.0414566 | + | 0.0570601i | ||||
\(625\) | −11.6692 | − | 2.48037i | −0.466768 | − | 0.0992147i | ||||
\(626\) | −9.68104 | − | 16.7680i | −0.386932 | − | 0.670186i | ||||
\(627\) | 0.462327 | + | 9.51746i | 0.0184636 | + | 0.380091i | ||||
\(628\) | −3.38803 | − | 1.95608i | −0.135197 | − | 0.0780561i | ||||
\(629\) | −18.7832 | − | 57.8086i | −0.748934 | − | 2.30498i | ||||
\(630\) | −0.728450 | + | 2.44364i | −0.0290222 | + | 0.0973569i | ||||
\(631\) | 16.0085 | − | 11.6308i | 0.637288 | − | 0.463017i | −0.221630 | − | 0.975131i | \(-0.571138\pi\) |
0.858917 | + | 0.512114i | \(0.171138\pi\) | |||||||
\(632\) | −4.59800 | − | 5.10660i | −0.182899 | − | 0.203130i | ||||
\(633\) | 23.4157 | − | 4.97717i | 0.930692 | − | 0.197825i | ||||
\(634\) | 1.51547 | − | 3.40380i | 0.0601870 | − | 0.135182i | ||||
\(635\) | −0.867739 | + | 0.386342i | −0.0344352 | + | 0.0153315i | ||||
\(636\) | 3.70837 | − | 1.20492i | 0.147046 | − | 0.0477783i | ||||
\(637\) | 9.61133 | − | 7.72806i | 0.380815 | − | 0.306197i | ||||
\(638\) | 5.21353 | + | 33.7512i | 0.206406 | + | 1.33622i | ||||
\(639\) | 5.12399 | − | 8.87500i | 0.202702 | − | 0.351090i | ||||
\(640\) | 0.644890 | − | 0.716223i | 0.0254915 | − | 0.0283112i | ||||
\(641\) | 5.03570 | − | 47.9115i | 0.198898 | − | 1.89239i | −0.206803 | − | 0.978383i | \(-0.566306\pi\) |
0.405701 | − | 0.914006i | \(-0.367028\pi\) | |||||||
\(642\) | −14.8582 | + | 1.56166i | −0.586407 | + | 0.0616338i | ||||
\(643\) | 13.8361 | + | 4.49561i | 0.545642 | + | 0.177290i | 0.568851 | − | 0.822441i | \(-0.307388\pi\) |
−0.0232089 | + | 0.999731i | \(0.507388\pi\) | |||||||
\(644\) | −7.58160 | + | 0.185376i | −0.298757 | + | 0.00730483i | ||||
\(645\) | −2.04234 | − | 2.81104i | −0.0804171 | − | 0.110685i | ||||
\(646\) | −8.20719 | − | 18.4337i | −0.322908 | − | 0.725263i | ||||
\(647\) | 4.76162 | + | 4.28739i | 0.187199 | + | 0.168555i | 0.757401 | − | 0.652950i | \(-0.226469\pi\) |
−0.570203 | + | 0.821504i | \(0.693135\pi\) | |||||||
\(648\) | −0.866025 | + | 0.500000i | −0.0340207 | + | 0.0196419i | ||||
\(649\) | 22.7300 | + | 18.5507i | 0.892232 | + | 0.728178i | ||||
\(650\) | − | 7.17271i | − | 0.281337i | ||||||
\(651\) | −2.64823 | − | 20.3884i | −0.103792 | − | 0.799086i | ||||
\(652\) | 2.79710 | + | 2.03221i | 0.109543 | + | 0.0795877i | ||||
\(653\) | −2.72082 | − | 25.8869i | −0.106474 | − | 1.01303i | −0.909108 | − | 0.416561i | \(-0.863235\pi\) |
0.802634 | − | 0.596472i | \(-0.203431\pi\) | |||||||
\(654\) | −0.635413 | − | 2.98939i | −0.0248466 | − | 0.116894i | ||||
\(655\) | −0.320851 | − | 1.50948i | −0.0125367 | − | 0.0589804i | ||||
\(656\) | 0.119223 | + | 1.13433i | 0.00465488 | + | 0.0442882i | ||||
\(657\) | −6.05981 | − | 4.40271i | −0.236416 | − | 0.171766i | ||||
\(658\) | 4.55937 | + | 1.89782i | 0.177743 | + | 0.0739848i | ||||
\(659\) | 5.62340i | 0.219057i | 0.993984 | + | 0.109528i | \(0.0349340\pi\) | ||||
−0.993984 | + | 0.109528i | \(0.965066\pi\) | |||||||
\(660\) | −0.179487 | + | 3.19143i | −0.00698653 | + | 0.124226i | ||||
\(661\) | −11.4724 | + | 6.62358i | −0.446224 | + | 0.257627i | −0.706234 | − | 0.707978i | \(-0.749607\pi\) |
0.260010 | + | 0.965606i | \(0.416274\pi\) | |||||||
\(662\) | −8.90947 | − | 8.02212i | −0.346276 | − | 0.311789i | ||||
\(663\) | 5.03298 | + | 11.3043i | 0.195465 | + | 0.439021i | ||||
\(664\) | −0.700386 | − | 0.963999i | −0.0271803 | − | 0.0374104i | ||||
\(665\) | −6.25297 | + | 3.81693i | −0.242480 | + | 0.148014i | ||||
\(666\) | −8.23091 | − | 2.67438i | −0.318941 | − | 0.103630i | ||||
\(667\) | −29.3541 | + | 3.08524i | −1.13660 | + | 0.119461i | ||||
\(668\) | 2.23220 | − | 21.2380i | 0.0863666 | − | 0.821723i | ||||
\(669\) | 0.740707 | − | 0.822638i | 0.0286374 | − | 0.0318050i | ||||
\(670\) | −7.30931 | + | 12.6601i | −0.282383 | + | 0.489102i | ||||
\(671\) | 34.0802 | − | 17.2010i | 1.31565 | − | 0.664037i | ||||
\(672\) | −2.60061 | − | 0.486660i | −0.100321 | − | 0.0187733i | ||||
\(673\) | −6.13976 | + | 1.99493i | −0.236671 | + | 0.0768989i | −0.424951 | − | 0.905216i | \(-0.639709\pi\) |
0.188280 | + | 0.982115i | \(0.439709\pi\) | |||||||
\(674\) | 7.17108 | − | 3.19277i | 0.276220 | − | 0.122981i | ||||
\(675\) | 1.65588 | − | 3.71917i | 0.0637349 | − | 0.143151i | ||||
\(676\) | −9.67966 | + | 2.05747i | −0.372295 | + | 0.0791337i | ||||
\(677\) | −1.67035 | − | 1.85511i | −0.0641966 | − | 0.0712976i | 0.710191 | − | 0.704009i | \(-0.248609\pi\) |
−0.774388 | + | 0.632711i | \(0.781942\pi\) | |||||||
\(678\) | 15.2887 | − | 11.1079i | 0.587159 | − | 0.426596i | ||||
\(679\) | −35.7417 | − | 10.6546i | −1.37164 | − | 0.408887i | ||||
\(680\) | −2.09171 | − | 6.43763i | −0.0802135 | − | 0.246872i | ||||
\(681\) | 1.73256 | + | 1.00029i | 0.0663919 | + | 0.0383314i | ||||
\(682\) | −9.14419 | − | 24.0962i | −0.350149 | − | 0.922693i | ||||
\(683\) | 8.35011 | + | 14.4628i | 0.319508 | + | 0.553404i | 0.980385 | − | 0.197090i | \(-0.0631490\pi\) |
−0.660877 | + | 0.750494i | \(0.729816\pi\) | |||||||
\(684\) | −2.81022 | − | 0.597331i | −0.107452 | − | 0.0228395i | ||||
\(685\) | 12.5919 | − | 17.3312i | 0.481110 | − | 0.662191i | ||||
\(686\) | 16.6744 | + | 8.06003i | 0.636632 | + | 0.307733i | ||||
\(687\) | −3.44241 | + | 10.5947i | −0.131336 | + | 0.404212i | ||||
\(688\) | 2.67922 | − | 2.41238i | 0.102144 | − | 0.0919712i | ||||
\(689\) | −6.27587 | − | 2.79420i | −0.239092 | − | 0.106450i | ||||
\(690\) | −2.74746 | − | 0.288769i | −0.104594 | − | 0.0109933i | ||||
\(691\) | −2.52256 | + | 11.8677i | −0.0959625 | + | 0.451468i | 0.903763 | + | 0.428034i | \(0.140793\pi\) |
−0.999725 | + | 0.0234347i | \(0.992540\pi\) | |||||||
\(692\) | 16.9787 | 0.645433 | ||||||||
\(693\) | 7.73473 | − | 4.14415i | 0.293818 | − | 0.157423i | ||||
\(694\) | 4.11250 | 0.156108 | ||||||||
\(695\) | −0.985155 | + | 4.63479i | −0.0373691 | + | 0.175808i | ||||
\(696\) | −10.2406 | − | 1.07634i | −0.388171 | − | 0.0407984i | ||||
\(697\) | 7.31814 | + | 3.25824i | 0.277194 | + | 0.123415i | ||||
\(698\) | 14.6672 | − | 13.2064i | 0.555163 | − | 0.499871i | ||||
\(699\) | 3.50239 | − | 10.7793i | 0.132473 | − | 0.407709i | ||||
\(700\) | 9.72998 | − | 4.62027i | 0.367759 | − | 0.174630i | ||||
\(701\) | −9.23923 | + | 12.7167i | −0.348961 | + | 0.480303i | −0.947032 | − | 0.321140i | \(-0.895934\pi\) |
0.598071 | + | 0.801443i | \(0.295934\pi\) | |||||||
\(702\) | 1.72334 | + | 0.366308i | 0.0650434 | + | 0.0138254i | ||||
\(703\) | −12.4322 | − | 21.5332i | −0.468889 | − | 0.812140i | ||||
\(704\) | −3.31272 | + | 0.160921i | −0.124853 | + | 0.00606494i | ||||
\(705\) | 1.55797 | + | 0.899493i | 0.0586764 | + | 0.0338769i | ||||
\(706\) | 3.02269 | + | 9.30289i | 0.113760 | + | 0.350119i | ||||
\(707\) | 29.4618 | − | 7.01914i | 1.10802 | − | 0.263982i | ||||
\(708\) | −7.15662 | + | 5.19959i | −0.268962 | + | 0.195412i | ||||
\(709\) | 5.76490 | + | 6.40257i | 0.216505 | + | 0.240454i | 0.841608 | − | 0.540089i | \(-0.181609\pi\) |
−0.625102 | + | 0.780543i | \(0.714943\pi\) | |||||||
\(710\) | 9.66089 | − | 2.05349i | 0.362567 | − | 0.0770659i | ||||
\(711\) | −2.79493 | + | 6.27752i | −0.104818 | + | 0.235426i | ||||
\(712\) | 0.132264 | − | 0.0588878i | 0.00495681 | − | 0.00220691i | ||||
\(713\) | 21.1844 | − | 6.88322i | 0.793361 | − | 0.257779i | ||||
\(714\) | −12.0926 | + | 14.1090i | −0.452553 | + | 0.528015i | ||||
\(715\) | 3.99739 | − | 3.96696i | 0.149494 | − | 0.148356i | ||||
\(716\) | 4.31880 | − | 7.48039i | 0.161401 | − | 0.279555i | ||||
\(717\) | 1.85062 | − | 2.05532i | 0.0691126 | − | 0.0767573i | ||||
\(718\) | −0.535355 | + | 5.09356i | −0.0199793 | + | 0.190090i | ||||
\(719\) | −33.7837 | + | 3.55081i | −1.25992 | + | 0.132423i | −0.710844 | − | 0.703350i | \(-0.751687\pi\) |
−0.549076 | + | 0.835773i | \(0.685020\pi\) | |||||||
\(720\) | −0.916603 | − | 0.297822i | −0.0341598 | − | 0.0110992i | ||||
\(721\) | −17.4088 | − | 9.49135i | −0.648339 | − | 0.353476i | ||||
\(722\) | 6.31625 | + | 8.69357i | 0.235066 | + | 0.323541i | ||||
\(723\) | −5.68742 | − | 12.7742i | −0.211518 | − | 0.475076i | ||||
\(724\) | 7.61284 | + | 6.85463i | 0.282929 | + | 0.254750i | ||||
\(725\) | 36.3045 | − | 20.9604i | 1.34831 | − | 0.778449i | ||||
\(726\) | 8.23061 | − | 7.29775i | 0.305466 | − | 0.270845i | ||||
\(727\) | 2.77782i | 0.103024i | 0.998672 | + | 0.0515118i | \(0.0164040\pi\) | ||||
−0.998672 | + | 0.0515118i | \(0.983596\pi\) | |||||||
\(728\) | 2.83126 | + | 3.70305i | 0.104934 | + | 0.137244i | ||||
\(729\) | 0.809017 | + | 0.587785i | 0.0299636 | + | 0.0217698i | ||||
\(730\) | −0.754590 | − | 7.17944i | −0.0279286 | − | 0.265723i | ||||
\(731\) | −5.26452 | − | 24.7676i | −0.194715 | − | 0.916063i | ||||
\(732\) | 2.39310 | + | 11.2587i | 0.0884517 | + | 0.416132i | ||||
\(733\) | 4.43786 | + | 42.2234i | 0.163916 | + | 1.55956i | 0.699225 | + | 0.714902i | \(0.253529\pi\) |
−0.535309 | + | 0.844656i | \(0.679805\pi\) | |||||||
\(734\) | −12.6684 | − | 9.20410i | −0.467598 | − | 0.339730i | ||||
\(735\) | 5.64524 | + | 3.69396i | 0.208228 | + | 0.136254i | ||||
\(736\) | − | 2.86643i | − | 0.105658i | ||||||
\(737\) | 48.6422 | − | 12.8346i | 1.79176 | − | 0.472769i | ||||
\(738\) | 0.987771 | − | 0.570290i | 0.0363603 | − | 0.0209927i | ||||
\(739\) | −23.6261 | − | 21.2730i | −0.869100 | − | 0.782541i | 0.108260 | − | 0.994123i | \(-0.465472\pi\) |
−0.977360 | + | 0.211581i | \(0.932139\pi\) | |||||||
\(740\) | −3.39257 | − | 7.61985i | −0.124714 | − | 0.280111i | ||||
\(741\) | 2.97524 | + | 4.09507i | 0.109298 | + | 0.150436i | ||||
\(742\) | −0.252167 | − | 10.3133i | −0.00925734 | − | 0.378612i | ||||
\(743\) | −0.201536 | − | 0.0654830i | −0.00739364 | − | 0.00240234i | 0.305318 | − | 0.952251i | \(-0.401237\pi\) |
−0.312711 | + | 0.949848i | \(0.601237\pi\) | |||||||
\(744\) | 7.72827 | − | 0.812274i | 0.283332 | − | 0.0297794i | ||||
\(745\) | −0.753439 | + | 7.16849i | −0.0276039 | + | 0.262633i | ||||
\(746\) | 12.4033 | − | 13.7753i | 0.454118 | − | 0.504349i | ||||
\(747\) | −0.595784 | + | 1.03193i | −0.0217986 | + | 0.0377563i | ||||
\(748\) | −10.6544 | + | 20.7144i | −0.389564 | + | 0.757394i | ||||
\(749\) | −7.27073 | + | 38.8532i | −0.265667 | + | 1.41967i | ||||
\(750\) | 8.31463 | − | 2.70159i | 0.303607 | − | 0.0986480i | ||||
\(751\) | 36.1205 | − | 16.0819i | 1.31806 | − | 0.586836i | 0.377353 | − | 0.926069i | \(-0.376834\pi\) |
0.940702 | + | 0.339233i | \(0.110168\pi\) | |||||||
\(752\) | −0.759218 | + | 1.70523i | −0.0276858 | + | 0.0621834i | ||||
\(753\) | 10.8883 | − | 2.31438i | 0.396792 | − | 0.0843407i | ||||
\(754\) | 12.1392 | + | 13.4820i | 0.442085 | + | 0.490985i | ||||
\(755\) | 2.78096 | − | 2.02049i | 0.101210 | − | 0.0735331i | ||||
\(756\) | 0.613176 | + | 2.57372i | 0.0223010 | + | 0.0936052i | ||||
\(757\) | −14.0754 | − | 43.3195i | −0.511578 | − | 1.57447i | −0.789423 | − | 0.613849i | \(-0.789620\pi\) |
0.277845 | − | 0.960626i | \(-0.410380\pi\) | |||||||
\(758\) | 4.37410 | + | 2.52539i | 0.158874 | + | 0.0917262i | ||||
\(759\) | 5.95460 | + | 7.41104i | 0.216138 | + | 0.269004i | ||||
\(760\) | −1.38446 | − | 2.39796i | −0.0502197 | − | 0.0869831i | ||||
\(761\) | 28.0928 | + | 5.97131i | 1.01836 | + | 0.216460i | 0.686702 | − | 0.726939i | \(-0.259058\pi\) |
0.331661 | + | 0.943399i | \(0.392391\pi\) | |||||||
\(762\) | −0.579299 | + | 0.797337i | −0.0209858 | + | 0.0288845i | ||||
\(763\) | −8.05983 | − | 0.648387i | −0.291785 | − | 0.0234732i | ||||
\(764\) | −1.00565 | + | 3.09506i | −0.0363830 | + | 0.111976i | ||||
\(765\) | −5.03029 | + | 4.52929i | −0.181871 | + | 0.163757i | ||||
\(766\) | 23.9720 | + | 10.6730i | 0.866144 | + | 0.385632i | ||||
\(767\) | 15.5000 | + | 1.62912i | 0.559673 | + | 0.0588240i | ||||
\(768\) | 0.207912 | − | 0.978148i | 0.00750237 | − | 0.0352959i | ||||
\(769\) | −10.4652 | −0.377385 | −0.188692 | − | 0.982036i | \(-0.560425\pi\) | ||||
−0.188692 | + | 0.982036i | \(0.560425\pi\) | |||||||
\(770\) | 7.95618 | + | 2.86727i | 0.286721 | + | 0.103329i | ||||
\(771\) | 21.5496 | 0.776090 | ||||||||
\(772\) | −3.21461 | + | 15.1236i | −0.115696 | + | 0.544309i | ||||
\(773\) | −44.8244 | − | 4.71124i | −1.61222 | − | 0.169451i | −0.744892 | − | 0.667185i | \(-0.767499\pi\) |
−0.867330 | + | 0.497733i | \(0.834166\pi\) | |||||||
\(774\) | −3.29356 | − | 1.46639i | −0.118384 | − | 0.0527082i | ||||
\(775\) | −23.5103 | + | 21.1687i | −0.844514 | + | 0.760403i | ||||
\(776\) | 4.35607 | − | 13.4066i | 0.156374 | − | 0.481269i | ||||
\(777\) | −13.0021 | + | 18.8480i | −0.466446 | + | 0.676169i | ||||
\(778\) | 16.1864 | − | 22.2787i | 0.580312 | − | 0.798731i | ||||
\(779\) | 3.20528 | + | 0.681304i | 0.114841 | + | 0.0244102i | ||||
\(780\) | 0.849008 | + | 1.47053i | 0.0303994 | + | 0.0526533i | ||||
\(781\) | −28.4344 | − | 18.6204i | −1.01746 | − | 0.666289i | ||||
\(782\) | −17.4348 | − | 10.0660i | −0.623467 | − | 0.359959i | ||||
\(783\) | 3.18197 | + | 9.79308i | 0.113714 | + | 0.349976i | ||||
\(784\) | −3.19955 | + | 6.22599i | −0.114269 | + | 0.222357i | ||||
\(785\) | −3.05034 | + | 2.21621i | −0.108871 | + | 0.0790998i | ||||
\(786\) | −1.07142 | − | 1.18993i | −0.0382163 | − | 0.0424435i | ||||
\(787\) | −40.6206 | + | 8.63419i | −1.44797 | + | 0.307775i | −0.863791 | − | 0.503850i | \(-0.831917\pi\) |
−0.584178 | + | 0.811625i | \(0.698583\pi\) | |||||||
\(788\) | −0.0431020 | + | 0.0968088i | −0.00153545 | + | 0.00344867i | ||||
\(789\) | −1.22348 | + | 0.544727i | −0.0435569 | + | 0.0193928i | ||||
\(790\) | −6.29853 | + | 2.04652i | −0.224092 | + | 0.0728118i | ||||
\(791\) | −16.6083 | − | 47.1601i | −0.590523 | − | 1.67682i | ||||
\(792\) | 1.49441 | + | 2.96087i | 0.0531016 | + | 0.105210i | ||||
\(793\) | 10.1396 | − | 17.5623i | 0.360067 | − | 0.623654i | ||||
\(794\) | −3.07055 | + | 3.41019i | −0.108970 | + | 0.121023i | ||||
\(795\) | 0.392813 | − | 3.73737i | 0.0139316 | − | 0.132551i | ||||
\(796\) | −26.7614 | + | 2.81273i | −0.948532 | + | 0.0996947i | ||||
\(797\) | 19.7703 | + | 6.42376i | 0.700300 | + | 0.227541i | 0.637461 | − | 0.770482i | \(-0.279985\pi\) |
0.0628387 | + | 0.998024i | \(0.479985\pi\) | |||||||
\(798\) | −3.63859 | + | 6.67382i | −0.128805 | + | 0.236251i | ||||
\(799\) | 7.70578 | + | 10.6061i | 0.272611 | + | 0.375217i | ||||
\(800\) | 1.65588 | + | 3.71917i | 0.0585443 | + | 0.131493i | ||||
\(801\) | −0.107593 | − | 0.0968774i | −0.00380162 | − | 0.00342300i | ||||
\(802\) | 23.6603 | − | 13.6603i | 0.835473 | − | 0.482361i | ||||
\(803\) | −15.7076 | + | 19.2465i | −0.554311 | + | 0.679194i | ||||
\(804\) | 15.1681i | 0.534939i | ||||||||
\(805\) | −2.80879 | + | 6.74789i | −0.0989967 | + | 0.237832i | ||||
\(806\) | −11.0763 | − | 8.04737i | −0.390144 | − | 0.283456i | ||||
\(807\) | 1.86704 | + | 17.7637i | 0.0657228 | + | 0.625311i | ||||
\(808\) | 2.38000 | + | 11.1970i | 0.0837282 | + | 0.393910i | ||||
\(809\) | −6.43756 | − | 30.2863i | −0.226332 | − | 1.06481i | −0.933725 | − | 0.357990i | \(-0.883462\pi\) |
0.707393 | − | 0.706820i | \(-0.249871\pi\) | |||||||
\(810\) | 0.100742 | + | 0.958493i | 0.00353970 | + | 0.0336780i | ||||
\(811\) | 16.7119 | + | 12.1419i | 0.586833 | + | 0.426359i | 0.841181 | − | 0.540754i | \(-0.181861\pi\) |
−0.254348 | + | 0.967113i | \(0.581861\pi\) | |||||||
\(812\) | −10.4692 | + | 25.1516i | −0.367399 | + | 0.882646i | ||||
\(813\) | 14.2757i | 0.500671i | ||||||||
\(814\) | −10.3888 | + | 26.7577i | −0.364128 | + | 0.937857i | ||||
\(815\) | 2.88573 | − | 1.66608i | 0.101083 | − | 0.0583602i | ||||
\(816\) | −5.21937 | − | 4.69954i | −0.182715 | − | 0.164517i | ||||
\(817\) | −4.21294 | − | 9.46241i | −0.147392 | − | 0.331048i | ||||
\(818\) | 20.4759 | + | 28.1826i | 0.715922 | + | 0.985383i | ||||
\(819\) | 2.23133 | − | 4.09265i | 0.0779689 | − | 0.143009i | ||||
\(820\) | 1.04546 | + | 0.339690i | 0.0365090 | + | 0.0118625i | ||||
\(821\) | 2.86773 | − | 0.301410i | 0.100084 | − | 0.0105193i | −0.0543538 | − | 0.998522i | \(-0.517310\pi\) |
0.154438 | + | 0.988002i | \(0.450643\pi\) | |||||||
\(822\) | 2.32344 | − | 22.1060i | 0.0810392 | − | 0.771036i | ||||
\(823\) | 5.41779 | − | 6.01707i | 0.188852 | − | 0.209742i | −0.641282 | − | 0.767305i | \(-0.721597\pi\) |
0.830134 | + | 0.557564i | \(0.188264\pi\) | |||||||
\(824\) | 3.74716 | − | 6.49026i | 0.130538 | − | 0.226099i | ||||
\(825\) | −12.0073 | − | 6.17591i | −0.418039 | − | 0.215018i | ||||
\(826\) | 7.77431 | + | 22.0756i | 0.270503 | + | 0.768107i | ||||
\(827\) | −24.7944 | + | 8.05618i | −0.862185 | + | 0.280141i | −0.706541 | − | 0.707672i | \(-0.749745\pi\) |
−0.155644 | + | 0.987813i | \(0.549745\pi\) | |||||||
\(828\) | −2.61862 | + | 1.16588i | −0.0910032 | + | 0.0405172i | ||||
\(829\) | −19.8509 | + | 44.5858i | −0.689449 | + | 1.54853i | 0.140127 | + | 0.990134i | \(0.455249\pi\) |
−0.829576 | + | 0.558394i | \(0.811418\pi\) | |||||||
\(830\) | −1.12331 | + | 0.238766i | −0.0389905 | + | 0.00828769i | ||||
\(831\) | −8.23770 | − | 9.14890i | −0.285763 | − | 0.317372i | ||||
\(832\) | −1.42536 | + | 1.03559i | −0.0494155 | + | 0.0359025i | ||||
\(833\) | 26.6332 | + | 41.3246i | 0.922786 | + | 1.43181i | ||||
\(834\) | 1.51926 | + | 4.67582i | 0.0526078 | + | 0.161910i | ||||
\(835\) | −17.8240 | − | 10.2907i | −0.616824 | − | 0.356124i | ||||
\(836\) | −2.50136 | + | 9.19451i | −0.0865113 | + | 0.317999i | ||||
\(837\) | −3.88542 | − | 6.72974i | −0.134300 | − | 0.232614i | ||||
\(838\) | 19.7451 | + | 4.19694i | 0.682082 | + | 0.144981i | ||||
\(839\) | −11.3423 | + | 15.6114i | −0.391580 | + | 0.538964i | −0.958606 | − | 0.284736i | \(-0.908094\pi\) |
0.567026 | + | 0.823700i | \(0.308094\pi\) | |||||||
\(840\) | −1.44792 | + | 2.09893i | −0.0499581 | + | 0.0724201i | ||||
\(841\) | −23.8034 | + | 73.2593i | −0.820807 | + | 2.52618i | ||||
\(842\) | −14.0442 | + | 12.6455i | −0.483996 | + | 0.435792i | ||||
\(843\) | −26.2163 | − | 11.6722i | −0.902937 | − | 0.402013i | ||||
\(844\) | 23.8077 | + | 2.50229i | 0.819495 | + | 0.0861324i | ||||
\(845\) | −1.98294 | + | 9.32899i | −0.0682152 | + | 0.320927i | ||||
\(846\) | 1.86661 | 0.0641753 | ||||||||
\(847\) | −12.2824 | − | 26.3845i | −0.422029 | − | 0.906582i | ||||
\(848\) | 3.89921 | 0.133899 | ||||||||
\(849\) | 3.54930 | − | 16.6982i | 0.121812 | − | 0.573079i | ||||
\(850\) | 28.4365 | + | 2.98879i | 0.975362 | + | 0.102515i | ||||
\(851\) | −22.6628 | − | 10.0901i | −0.776870 | − | 0.345885i | ||||
\(852\) | 7.61573 | − | 6.85723i | 0.260911 | − | 0.234925i | ||||
\(853\) | −2.83000 | + | 8.70984i | −0.0968973 | + | 0.298219i | −0.987743 | − | 0.156086i | \(-0.950112\pi\) |
0.890846 | + | 0.454305i | \(0.150112\pi\) | |||||||
\(854\) | 30.3550 | + | 2.44196i | 1.03873 | + | 0.0835623i | ||||
\(855\) | −1.62753 | + | 2.24011i | −0.0556605 | + | 0.0766101i | ||||
\(856\) | −14.6136 | − | 3.10621i | −0.499482 | − | 0.106168i | ||||
\(857\) | 11.7330 | + | 20.3222i | 0.400793 | + | 0.694193i | 0.993822 | − | 0.110988i | \(-0.0354015\pi\) |
−0.593029 | + | 0.805181i | \(0.702068\pi\) | |||||||
\(858\) | 1.53393 | − | 5.63844i | 0.0523676 | − | 0.192493i | ||||
\(859\) | −39.3882 | − | 22.7408i | −1.34391 | − | 0.775906i | −0.356529 | − | 0.934284i | \(-0.616040\pi\) |
−0.987378 | + | 0.158379i | \(0.949373\pi\) | |||||||
\(860\) | −1.07372 | − | 3.30458i | −0.0366136 | − | 0.112685i | ||||
\(861\) | −0.699376 | − | 2.93553i | −0.0238347 | − | 0.100043i | ||||
\(862\) | 19.0927 | − | 13.8716i | 0.650299 | − | 0.472470i | ||||
\(863\) | −31.4937 | − | 34.9772i | −1.07206 | − | 1.19064i | −0.980841 | − | 0.194808i | \(-0.937592\pi\) |
−0.0912151 | − | 0.995831i | \(-0.529075\pi\) | |||||||
\(864\) | −0.978148 | + | 0.207912i | −0.0332773 | + | 0.00707330i | ||||
\(865\) | 6.65568 | − | 14.9489i | 0.226300 | − | 0.508278i | ||||
\(866\) | 13.1898 | − | 5.87249i | 0.448209 | − | 0.199555i | ||||
\(867\) | −30.7453 | + | 9.98977i | −1.04417 | + | 0.339270i | ||||
\(868\) | 3.78176 | − | 20.2089i | 0.128361 | − | 0.685935i | ||||
\(869\) | 20.2668 | + | 10.4242i | 0.687505 | + | 0.353617i | ||||
\(870\) | −4.96201 | + | 8.59446i | −0.168228 | + | 0.291379i | ||||
\(871\) | 17.8818 | − | 19.8597i | 0.605900 | − | 0.672920i | ||||
\(872\) | 0.319457 | − | 3.03943i | 0.0108182 | − | 0.102928i | ||||
\(873\) | −14.0193 | + | 1.47349i | −0.474482 | + | 0.0498701i | ||||
\(874\) | −7.83221 | − | 2.54484i | −0.264929 | − | 0.0860805i | ||||
\(875\) | −0.565390 | − | 23.1236i | −0.0191137 | − | 0.781721i | ||||
\(876\) | −4.40271 | − | 6.05981i | −0.148754 | − | 0.204742i | ||||
\(877\) | −21.6320 | − | 48.5864i | −0.730462 | − | 1.64064i | −0.767272 | − | 0.641322i | \(-0.778386\pi\) |
0.0368096 | − | 0.999322i | \(-0.488280\pi\) | |||||||
\(878\) | −29.0162 | − | 26.1263i | −0.979249 | − | 0.881720i | ||||
\(879\) | 19.4377 | − | 11.2224i | 0.655617 | − | 0.378521i | ||||
\(880\) | −1.15691 | + | 2.97977i | −0.0389994 | + | 0.100448i | ||||
\(881\) | 26.1280i | 0.880274i | 0.897931 | + | 0.440137i | \(0.145070\pi\) | ||||
−0.897931 | + | 0.440137i | \(0.854930\pi\) | |||||||
\(882\) | 6.98909 | + | 0.390593i | 0.235335 | + | 0.0131519i | ||||
\(883\) | −13.2945 | − | 9.65899i | −0.447394 | − | 0.325051i | 0.341172 | − | 0.940001i | \(-0.389176\pi\) |
−0.788566 | + | 0.614950i | \(0.789176\pi\) | |||||||
\(884\) | 1.29344 | + | 12.3063i | 0.0435031 | + | 0.413905i | ||||
\(885\) | 1.77257 | + | 8.33929i | 0.0595843 | + | 0.280322i | ||||
\(886\) | 3.99468 | + | 18.7935i | 0.134204 | + | 0.631379i | ||||
\(887\) | 2.30304 | + | 21.9120i | 0.0773285 | + | 0.735732i | 0.962649 | + | 0.270751i | \(0.0872720\pi\) |
−0.885321 | + | 0.464981i | \(0.846061\pi\) | |||||||
\(888\) | −7.00163 | − | 5.08698i | −0.234959 | − | 0.170708i | ||||
\(889\) | 1.58379 | + | 2.07146i | 0.0531186 | + | 0.0694746i | ||||
\(890\) | − | 0.139536i | − | 0.00467726i | ||||||
\(891\) | 2.09705 | − | 2.56951i | 0.0702539 | − | 0.0860817i | ||||
\(892\) | 0.958663 | − | 0.553485i | 0.0320984 | − | 0.0185320i | ||||
\(893\) | 3.98532 | + | 3.58840i | 0.133364 | + | 0.120081i | ||||
\(894\) | 3.04195 | + | 6.83233i | 0.101738 | + | 0.228507i | ||||
\(895\) | −4.89313 | − | 6.73482i | −0.163559 | − | 0.225120i | ||||
\(896\) | −2.32294 | − | 1.26647i | −0.0776039 | − | 0.0423099i | ||||
\(897\) | 4.80303 | + | 1.56060i | 0.160369 | + | 0.0521069i | ||||
\(898\) | −6.75251 | + | 0.709717i | −0.225334 | + | 0.0236836i | ||||
\(899\) | 8.36403 | − | 79.5784i | 0.278956 | − | 2.65409i | ||||
\(900\) | 2.72413 | − | 3.02545i | 0.0908042 | − | 0.100848i | ||||
\(901\) | 13.6928 | − | 23.7166i | 0.456172 | − | 0.790114i | ||||
\(902\) | −1.70450 | − | 3.37710i | −0.0567535 | − | 0.112445i | ||||
\(903\) | −6.20738 | + | 7.24244i | −0.206569 | + | 0.241013i | ||||
\(904\) | 17.9730 | − | 5.83977i | 0.597771 | − | 0.194228i | ||||
\(905\) | 9.01941 | − | 4.01570i | 0.299815 | − | 0.133486i | ||||
\(906\) | 1.45070 | − | 3.25832i | 0.0481961 | − | 0.108250i | ||||
\(907\) | 0.658980 | − | 0.140071i | 0.0218811 | − | 0.00465097i | −0.196958 | − | 0.980412i | \(-0.563106\pi\) |
0.218839 | + | 0.975761i | \(0.429773\pi\) | |||||||
\(908\) | 1.33866 | + | 1.48673i | 0.0444248 | + | 0.0493388i | ||||
\(909\) | 9.26097 | − | 6.72849i | 0.307167 | − | 0.223170i | ||||
\(910\) | 4.37021 | − | 1.04118i | 0.144871 | − | 0.0345149i | ||||
\(911\) | −5.86870 | − | 18.0620i | −0.194439 | − | 0.598420i | −0.999983 | − | 0.00588464i | \(-0.998127\pi\) |
0.805544 | − | 0.592536i | \(-0.201873\pi\) | |||||||
\(912\) | −2.48810 | − | 1.43650i | −0.0823891 | − | 0.0475674i | ||||
\(913\) | 3.30616 | + | 2.16505i | 0.109418 | + | 0.0716528i | ||||
\(914\) | 5.65718 | + | 9.79853i | 0.187123 | + | 0.324107i | ||||
\(915\) | 10.8508 | + | 2.30641i | 0.358716 | + | 0.0762475i | ||||
\(916\) | −6.54786 | + | 9.01236i | −0.216347 | + | 0.297777i | ||||
\(917\) | −3.82688 | + | 1.81719i | −0.126375 | + | 0.0600089i | ||||
\(918\) | −2.17034 | + | 6.67961i | −0.0716318 | + | 0.220460i | ||||
\(919\) | −19.2113 | + | 17.2979i | −0.633722 | + | 0.570605i | −0.922120 | − | 0.386905i | \(-0.873544\pi\) |
0.288398 | + | 0.957511i | \(0.406877\pi\) | |||||||
\(920\) | −2.52375 | − | 1.12365i | −0.0832056 | − | 0.0370455i | ||||
\(921\) | 9.62478 | + | 1.01161i | 0.317147 | + | 0.0333335i | ||||
\(922\) | −4.99968 | + | 23.5217i | −0.164656 | + | 0.774644i | ||||
\(923\) | −18.0553 | −0.594298 | ||||||||
\(924\) | 8.63678 | − | 1.55115i | 0.284129 | − | 0.0510292i | ||||
\(925\) | 35.2337 | 1.15848 | ||||||||
\(926\) | −1.45694 | + | 6.85436i | −0.0478780 | + | 0.225248i | ||||
\(927\) | −7.45326 | − | 0.783369i | −0.244797 | − | 0.0257292i | ||||
\(928\) | −9.40683 | − | 4.18819i | −0.308794 | − | 0.137484i | ||||
\(929\) | −8.17223 | + | 7.35831i | −0.268122 | + | 0.241418i | −0.792214 | − | 0.610244i | \(-0.791072\pi\) |
0.524092 | + | 0.851662i | \(0.324405\pi\) | |||||||
\(930\) | 2.31433 | − | 7.12277i | 0.0758898 | − | 0.233565i | ||||
\(931\) | 14.1712 | + | 14.2699i | 0.464444 | + | 0.467677i | ||||
\(932\) | 6.66194 | − | 9.16938i | 0.218219 | − | 0.300353i | ||||
\(933\) | −0.984107 | − | 0.209178i | −0.0322182 | − | 0.00684819i | ||||
\(934\) | 7.04296 | + | 12.1988i | 0.230453 | + | 0.399156i | ||||
\(935\) | 14.0615 | + | 17.5008i | 0.459859 | + | 0.572336i | ||||
\(936\) | 1.52580 | + | 0.880922i | 0.0498724 | + | 0.0287938i | ||||
\(937\) | 16.2496 | + | 50.0113i | 0.530853 | + | 1.63380i | 0.752443 | + | 0.658657i | \(0.228875\pi\) |
−0.221590 | + | 0.975140i | \(0.571125\pi\) | |||||||
\(938\) | 38.4587 | + | 11.4646i | 1.25572 | + | 0.374331i | ||||
\(939\) | −15.6642 | + | 11.3807i | −0.511183 | + | 0.371396i | ||||
\(940\) | 1.20376 | + | 1.33691i | 0.0392622 | + | 0.0436051i | ||||
\(941\) | −54.6653 | + | 11.6195i | −1.78204 | + | 0.378784i | −0.976797 | − | 0.214166i | \(-0.931297\pi\) |
−0.805239 | + | 0.592950i | \(0.797963\pi\) | |||||||
\(942\) | −1.59122 | + | 3.57394i | −0.0518447 | + | 0.116445i | ||||
\(943\) | 2.98674 | − | 1.32978i | 0.0972616 | − | 0.0433037i | ||||
\(944\) | −8.41311 | + | 2.73358i | −0.273823 | + | 0.0889706i | ||||
\(945\) | 2.50640 | + | 0.469030i | 0.0815331 | + | 0.0152575i | ||||
\(946\) | −5.46915 | + | 10.6332i | −0.177817 | + | 0.345714i | ||||
\(947\) | −1.66760 | + | 2.88837i | −0.0541898 | + | 0.0938595i | −0.891848 | − | 0.452336i | \(-0.850591\pi\) |
0.837658 | + | 0.546195i | \(0.183924\pi\) | |||||||
\(948\) | −4.59800 | + | 5.10660i | −0.149336 | + | 0.165855i | ||||
\(949\) | −1.37944 | + | 13.1245i | −0.0447786 | + | 0.426040i | ||||
\(950\) | 11.6323 | − | 1.22261i | 0.377403 | − | 0.0396666i | ||||
\(951\) | −3.54357 | − | 1.15137i | −0.114908 | − | 0.0373359i | ||||
\(952\) | −15.8606 | + | 9.68161i | −0.514046 | + | 0.313783i | ||||
\(953\) | −9.62041 | − | 13.2414i | −0.311636 | − | 0.428930i | 0.624255 | − | 0.781221i | \(-0.285403\pi\) |
−0.935890 | + | 0.352291i | \(0.885403\pi\) | |||||||
\(954\) | −1.58595 | − | 3.56211i | −0.0513471 | − | 0.115327i | ||||
\(955\) | 2.33084 | + | 2.09869i | 0.0754241 | + | 0.0679121i | ||||
\(956\) | 2.39517 | − | 1.38285i | 0.0774653 | − | 0.0447246i | ||||
\(957\) | 33.0213 | − | 8.71293i | 1.06743 | − | 0.281649i | ||||
\(958\) | − | 11.3914i | − | 0.368039i | ||||||
\(959\) | −54.2935 | − | 22.5995i | −1.75323 | − | 0.729776i | ||||
\(960\) | −0.779709 | − | 0.566492i | −0.0251650 | − | 0.0182834i | ||||
\(961\) | 3.07166 | + | 29.2249i | 0.0990859 | + | 0.942740i | ||||
\(962\) | 3.17021 | + | 14.9147i | 0.102212 | + | 0.480868i | ||||
\(963\) | 3.10621 | + | 14.6136i | 0.100096 | + | 0.470916i | ||||
\(964\) | −1.46163 | − | 13.9065i | −0.0470759 | − | 0.447897i | ||||
\(965\) | 12.0554 | + | 8.75877i | 0.388078 | + | 0.281955i | ||||
\(966\) | 0.976854 | + | 7.52069i | 0.0314297 | + | 0.241974i | ||||
\(967\) | − | 30.9688i | − | 0.995888i | −0.867209 | − | 0.497944i | \(-0.834089\pi\) | ||
0.867209 | − | 0.497944i | \(-0.165911\pi\) | |||||||
\(968\) | 10.0829 | − | 4.39717i | 0.324077 | − | 0.141330i | ||||
\(969\) | −17.4748 | + | 10.0891i | −0.561371 | + | 0.324108i | ||||
\(970\) | −10.0963 | − | 9.09072i | −0.324172 | − | 0.291886i | ||||
\(971\) | −4.69727 | − | 10.5502i | −0.150743 | − | 0.338573i | 0.822352 | − | 0.568979i | \(-0.192661\pi\) |
−0.973095 | + | 0.230406i | \(0.925995\pi\) | |||||||
\(972\) | 0.587785 | + | 0.809017i | 0.0188532 | + | 0.0259492i | ||||
\(973\) | 13.0038 | − | 0.317953i | 0.416883 | − | 0.0101931i | ||||
\(974\) | −22.9985 | − | 7.47266i | −0.736919 | − | 0.239440i | ||||
\(975\) | −7.13342 | + | 0.749753i | −0.228452 | + | 0.0240113i | ||||
\(976\) | −1.20314 | + | 11.4471i | −0.0385117 | + | 0.366414i | ||||
\(977\) | 5.87346 | − | 6.52314i | 0.187909 | − | 0.208694i | −0.641828 | − | 0.766848i | \(-0.721824\pi\) |
0.829737 | + | 0.558155i | \(0.188490\pi\) | |||||||
\(978\) | 1.72871 | − | 2.99421i | 0.0552779 | − | 0.0957441i | ||||
\(979\) | −0.340837 | + | 0.338242i | −0.0108932 | + | 0.0108103i | ||||
\(980\) | 4.22745 | + | 5.25764i | 0.135041 | + | 0.167949i | ||||
\(981\) | −2.90659 | + | 0.944408i | −0.0928003 | + | 0.0301526i | ||||
\(982\) | 2.09357 | − | 0.932117i | 0.0668085 | − | 0.0297450i | ||||
\(983\) | −1.64893 | + | 3.70357i | −0.0525928 | + | 0.118125i | −0.937931 | − | 0.346823i | \(-0.887260\pi\) |
0.885338 | + | 0.464948i | \(0.153927\pi\) | |||||||
\(984\) | 1.11565 | − | 0.237140i | 0.0355658 | − | 0.00755974i | ||||
\(985\) | 0.0683392 | + | 0.0758984i | 0.00217747 | + | 0.00241832i | ||||
\(986\) | −58.5080 | + | 42.5086i | −1.86328 | + | 1.35375i | ||||
\(987\) | 1.41084 | − | 4.73277i | 0.0449076 | − | 0.150646i | ||||
\(988\) | 1.56418 | + | 4.81404i | 0.0497631 | + | 0.153155i | ||||
\(989\) | −8.94968 | − | 5.16710i | −0.284583 | − | 0.164304i | ||||
\(990\) | 3.19271 | − | 0.155091i | 0.101471 | − | 0.00492913i | ||||
\(991\) | 9.73826 | + | 16.8672i | 0.309346 | + | 0.535803i | 0.978219 | − | 0.207573i | \(-0.0665566\pi\) |
−0.668874 | + | 0.743376i | \(0.733223\pi\) | |||||||
\(992\) | 7.60103 | + | 1.61565i | 0.241333 | + | 0.0512969i | ||||
\(993\) | −7.04688 | + | 9.69920i | −0.223626 | + | 0.307795i | ||||
\(994\) | −11.6302 | − | 24.4925i | −0.368889 | − | 0.776856i | ||||
\(995\) | −8.01403 | + | 24.6647i | −0.254062 | + | 0.781922i | ||||
\(996\) | −0.885508 | + | 0.797315i | −0.0280584 | + | 0.0252639i | ||||
\(997\) | −18.5792 | − | 8.27198i | −0.588408 | − | 0.261976i | 0.0908632 | − | 0.995863i | \(-0.471037\pi\) |
−0.679271 | + | 0.733887i | \(0.737704\pi\) | |||||||
\(998\) | −10.5460 | − | 1.10843i | −0.333829 | − | 0.0350868i | ||||
\(999\) | −1.79937 | + | 8.46537i | −0.0569295 | + | 0.267832i |
(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 | 462.2.ba.b.61.6 | yes | 64 | |
7.3 | odd | 6 | 462.2.ba.a.325.7 | yes | 64 | ||
11.2 | odd | 10 | 462.2.ba.a.145.7 | ✓ | 64 | ||
77.24 | even | 30 | inner | 462.2.ba.b.409.6 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.ba.a.145.7 | ✓ | 64 | 11.2 | odd | 10 | ||
462.2.ba.a.325.7 | yes | 64 | 7.3 | odd | 6 | ||
462.2.ba.b.61.6 | yes | 64 | 1.1 | even | 1 | trivial | |
462.2.ba.b.409.6 | yes | 64 | 77.24 | even | 30 | inner |