Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(131,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.f (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 131.17 | ||
Character | \(\chi\) | \(=\) | 429.131 |
Dual form | 429.2.f.a.131.18 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.822598 | −0.581664 | −0.290832 | − | 0.956774i | \(-0.593932\pi\) | ||||
−0.290832 | + | 0.956774i | \(0.593932\pi\) | |||||||
\(3\) | −0.0778779 | − | 1.73030i | −0.0449628 | − | 0.998989i | ||||
\(4\) | −1.32333 | −0.661666 | ||||||||
\(5\) | − | 3.64046i | − | 1.62806i | −0.580820 | − | 0.814032i | \(-0.697268\pi\) | ||
0.580820 | − | 0.814032i | \(-0.302732\pi\) | |||||||
\(6\) | 0.0640622 | + | 1.42334i | 0.0261533 | + | 0.581076i | ||||
\(7\) | − | 1.97039i | − | 0.744736i | −0.928085 | − | 0.372368i | \(-0.878546\pi\) | ||
0.928085 | − | 0.372368i | \(-0.121454\pi\) | |||||||
\(8\) | 2.73377 | 0.966532 | ||||||||
\(9\) | −2.98787 | + | 0.269504i | −0.995957 | + | 0.0898347i | ||||
\(10\) | 2.99464i | 0.946987i | ||||||||
\(11\) | −3.10754 | − | 1.15897i | −0.936957 | − | 0.349443i | ||||
\(12\) | 0.103058 | + | 2.28976i | 0.0297504 | + | 0.660997i | ||||
\(13\) | − | 1.00000i | − | 0.277350i | ||||||
\(14\) | 1.62084i | 0.433187i | ||||||||
\(15\) | −6.29909 | + | 0.283512i | −1.62642 | + | 0.0732024i | ||||
\(16\) | 0.397876 | 0.0994690 | ||||||||
\(17\) | 7.48590 | 1.81560 | 0.907799 | − | 0.419406i | \(-0.137762\pi\) | ||||
0.907799 | + | 0.419406i | \(0.137762\pi\) | |||||||
\(18\) | 2.45782 | − | 0.221694i | 0.579313 | − | 0.0522537i | ||||
\(19\) | 4.73844i | 1.08707i | 0.839386 | + | 0.543536i | \(0.182915\pi\) | ||||
−0.839386 | + | 0.543536i | \(0.817085\pi\) | |||||||
\(20\) | 4.81754i | 1.07724i | ||||||||
\(21\) | −3.40936 | + | 0.153450i | −0.743983 | + | 0.0334855i | ||||
\(22\) | 2.55625 | + | 0.953369i | 0.544995 | + | 0.203259i | ||||
\(23\) | − | 1.40786i | − | 0.293560i | −0.989169 | − | 0.146780i | \(-0.953109\pi\) | ||
0.989169 | − | 0.146780i | \(-0.0468909\pi\) | |||||||
\(24\) | −0.212900 | − | 4.73023i | −0.0434580 | − | 0.965555i | ||||
\(25\) | −8.25297 | −1.65059 | ||||||||
\(26\) | 0.822598i | 0.161325i | ||||||||
\(27\) | 0.699012 | + | 5.14892i | 0.134525 | + | 0.990910i | ||||
\(28\) | 2.60748i | 0.492767i | ||||||||
\(29\) | −0.599024 | −0.111236 | −0.0556180 | − | 0.998452i | \(-0.517713\pi\) | ||||
−0.0556180 | + | 0.998452i | \(0.517713\pi\) | |||||||
\(30\) | 5.18162 | − | 0.233216i | 0.946029 | − | 0.0425792i | ||||
\(31\) | −3.80588 | −0.683555 | −0.341778 | − | 0.939781i | \(-0.611029\pi\) | ||||
−0.341778 | + | 0.939781i | \(0.611029\pi\) | |||||||
\(32\) | −5.79482 | −1.02439 | ||||||||
\(33\) | −1.76336 | + | 5.46723i | −0.306962 | + | 0.951722i | ||||
\(34\) | −6.15788 | −1.05607 | ||||||||
\(35\) | −7.17312 | −1.21248 | ||||||||
\(36\) | 3.95395 | − | 0.356644i | 0.658991 | − | 0.0594406i | ||||
\(37\) | 4.99572 | 0.821291 | 0.410645 | − | 0.911795i | \(-0.365303\pi\) | ||||
0.410645 | + | 0.911795i | \(0.365303\pi\) | |||||||
\(38\) | − | 3.89783i | − | 0.632311i | ||||||
\(39\) | −1.73030 | + | 0.0778779i | −0.277070 | + | 0.0124704i | ||||
\(40\) | − | 9.95217i | − | 1.57358i | ||||||
\(41\) | −9.36809 | −1.46305 | −0.731525 | − | 0.681815i | \(-0.761191\pi\) | ||||
−0.731525 | + | 0.681815i | \(0.761191\pi\) | |||||||
\(42\) | 2.80453 | − | 0.126227i | 0.432748 | − | 0.0194773i | ||||
\(43\) | 5.55007i | 0.846378i | 0.906041 | + | 0.423189i | \(0.139089\pi\) | ||||
−0.906041 | + | 0.423189i | \(0.860911\pi\) | |||||||
\(44\) | 4.11231 | + | 1.53371i | 0.619953 | + | 0.231215i | ||||
\(45\) | 0.981120 | + | 10.8772i | 0.146257 | + | 1.62148i | ||||
\(46\) | 1.15811i | 0.170753i | ||||||||
\(47\) | − | 11.4369i | − | 1.66824i | −0.551582 | − | 0.834121i | \(-0.685976\pi\) | ||
0.551582 | − | 0.834121i | \(-0.314024\pi\) | |||||||
\(48\) | −0.0309857 | − | 0.688444i | −0.00447241 | − | 0.0993684i | ||||
\(49\) | 3.11758 | 0.445368 | ||||||||
\(50\) | 6.78887 | 0.960092 | ||||||||
\(51\) | −0.582986 | − | 12.9528i | −0.0816344 | − | 1.81376i | ||||
\(52\) | 1.32333i | 0.183513i | ||||||||
\(53\) | − | 7.53108i | − | 1.03447i | −0.855843 | − | 0.517236i | \(-0.826961\pi\) | ||
0.855843 | − | 0.517236i | \(-0.173039\pi\) | |||||||
\(54\) | −0.575006 | − | 4.23549i | −0.0782484 | − | 0.576377i | ||||
\(55\) | −4.21920 | + | 11.3129i | −0.568916 | + | 1.52543i | ||||
\(56\) | − | 5.38658i | − | 0.719812i | ||||||
\(57\) | 8.19892 | − | 0.369020i | 1.08597 | − | 0.0488779i | ||||
\(58\) | 0.492756 | 0.0647020 | ||||||||
\(59\) | 1.46468i | 0.190685i | 0.995445 | + | 0.0953425i | \(0.0303946\pi\) | ||||
−0.995445 | + | 0.0953425i | \(0.969605\pi\) | |||||||
\(60\) | 8.33579 | − | 0.375180i | 1.07615 | − | 0.0484356i | ||||
\(61\) | − | 0.106909i | − | 0.0136882i | −0.999977 | − | 0.00684412i | \(-0.997821\pi\) | ||
0.999977 | − | 0.00684412i | \(-0.00217857\pi\) | |||||||
\(62\) | 3.13070 | 0.397600 | ||||||||
\(63\) | 0.531027 | + | 5.88726i | 0.0669032 | + | 0.741725i | ||||
\(64\) | 3.97106 | 0.496382 | ||||||||
\(65\) | −3.64046 | −0.451544 | ||||||||
\(66\) | 1.45054 | − | 4.49733i | 0.178549 | − | 0.553583i | ||||
\(67\) | 7.88900 | 0.963795 | 0.481898 | − | 0.876228i | \(-0.339948\pi\) | ||||
0.481898 | + | 0.876228i | \(0.339948\pi\) | |||||||
\(68\) | −9.90634 | −1.20132 | ||||||||
\(69\) | −2.43603 | + | 0.109642i | −0.293263 | + | 0.0131993i | ||||
\(70\) | 5.90059 | 0.705256 | ||||||||
\(71\) | 5.03736i | 0.597824i | 0.954281 | + | 0.298912i | \(0.0966238\pi\) | ||||
−0.954281 | + | 0.298912i | \(0.903376\pi\) | |||||||
\(72\) | −8.16814 | + | 0.736761i | −0.962624 | + | 0.0868282i | ||||
\(73\) | 0.797068i | 0.0932898i | 0.998912 | + | 0.0466449i | \(0.0148529\pi\) | ||||
−0.998912 | + | 0.0466449i | \(0.985147\pi\) | |||||||
\(74\) | −4.10947 | −0.477716 | ||||||||
\(75\) | 0.642724 | + | 14.2801i | 0.0742154 | + | 1.64892i | ||||
\(76\) | − | 6.27053i | − | 0.719279i | ||||||
\(77\) | −2.28362 | + | 6.12305i | −0.260243 | + | 0.697786i | ||||
\(78\) | 1.42334 | − | 0.0640622i | 0.161162 | − | 0.00725362i | ||||
\(79\) | − | 0.729545i | − | 0.0820802i | −0.999158 | − | 0.0410401i | \(-0.986933\pi\) | ||
0.999158 | − | 0.0410401i | \(-0.0130671\pi\) | |||||||
\(80\) | − | 1.44845i | − | 0.161942i | ||||||
\(81\) | 8.85473 | − | 1.61049i | 0.983859 | − | 0.178943i | ||||
\(82\) | 7.70617 | 0.851004 | ||||||||
\(83\) | −1.46934 | −0.161281 | −0.0806404 | − | 0.996743i | \(-0.525697\pi\) | ||||
−0.0806404 | + | 0.996743i | \(0.525697\pi\) | |||||||
\(84\) | 4.51172 | − | 0.203065i | 0.492269 | − | 0.0221562i | ||||
\(85\) | − | 27.2521i | − | 2.95591i | ||||||
\(86\) | − | 4.56548i | − | 0.492308i | ||||||
\(87\) | 0.0466507 | + | 1.03649i | 0.00500148 | + | 0.111123i | ||||
\(88\) | −8.49528 | − | 3.16836i | −0.905600 | − | 0.337748i | ||||
\(89\) | − | 13.4031i | − | 1.42072i | −0.703837 | − | 0.710362i | \(-0.748531\pi\) | ||
0.703837 | − | 0.710362i | \(-0.251469\pi\) | |||||||
\(90\) | −0.807067 | − | 8.94758i | −0.0850723 | − | 0.943158i | ||||
\(91\) | −1.97039 | −0.206553 | ||||||||
\(92\) | 1.86307i | 0.194239i | ||||||||
\(93\) | 0.296394 | + | 6.58530i | 0.0307346 | + | 0.682864i | ||||
\(94\) | 9.40796i | 0.970357i | ||||||||
\(95\) | 17.2501 | 1.76982 | ||||||||
\(96\) | 0.451289 | + | 10.0268i | 0.0460595 | + | 1.02335i | ||||
\(97\) | −2.10062 | −0.213286 | −0.106643 | − | 0.994297i | \(-0.534010\pi\) | ||||
−0.106643 | + | 0.994297i | \(0.534010\pi\) | |||||||
\(98\) | −2.56451 | −0.259055 | ||||||||
\(99\) | 9.59726 | + | 2.62537i | 0.964561 | + | 0.263859i | ||||
\(100\) | 10.9214 | 1.09214 | ||||||||
\(101\) | −1.50969 | −0.150220 | −0.0751099 | − | 0.997175i | \(-0.523931\pi\) | ||||
−0.0751099 | + | 0.997175i | \(0.523931\pi\) | |||||||
\(102\) | 0.479563 | + | 10.6550i | 0.0474838 | + | 1.05500i | ||||
\(103\) | −8.67941 | −0.855208 | −0.427604 | − | 0.903966i | \(-0.640642\pi\) | ||||
−0.427604 | + | 0.903966i | \(0.640642\pi\) | |||||||
\(104\) | − | 2.73377i | − | 0.268068i | ||||||
\(105\) | 0.558628 | + | 12.4116i | 0.0545165 | + | 1.21125i | ||||
\(106\) | 6.19505i | 0.601716i | ||||||||
\(107\) | 12.0532 | 1.16522 | 0.582611 | − | 0.812751i | \(-0.302031\pi\) | ||||
0.582611 | + | 0.812751i | \(0.302031\pi\) | |||||||
\(108\) | −0.925026 | − | 6.81374i | −0.0890106 | − | 0.655652i | ||||
\(109\) | − | 9.00369i | − | 0.862397i | −0.902257 | − | 0.431198i | \(-0.858091\pi\) | ||
0.902257 | − | 0.431198i | \(-0.141909\pi\) | |||||||
\(110\) | 3.47070 | − | 9.30594i | 0.330918 | − | 0.887287i | ||||
\(111\) | −0.389056 | − | 8.64408i | −0.0369276 | − | 0.820460i | ||||
\(112\) | − | 0.783969i | − | 0.0740781i | ||||||
\(113\) | 13.1365i | 1.23578i | 0.786264 | + | 0.617891i | \(0.212013\pi\) | ||||
−0.786264 | + | 0.617891i | \(0.787987\pi\) | |||||||
\(114\) | −6.74441 | + | 0.303555i | −0.631672 | + | 0.0284305i | ||||
\(115\) | −5.12528 | −0.477934 | ||||||||
\(116\) | 0.792708 | 0.0736011 | ||||||||
\(117\) | 0.269504 | + | 2.98787i | 0.0249157 | + | 0.276229i | ||||
\(118\) | − | 1.20484i | − | 0.110915i | ||||||
\(119\) | − | 14.7501i | − | 1.35214i | ||||||
\(120\) | −17.2202 | + | 0.775055i | −1.57199 | + | 0.0707525i | ||||
\(121\) | 8.31356 | + | 7.20310i | 0.755779 | + | 0.654827i | ||||
\(122\) | 0.0879428i | 0.00796196i | ||||||||
\(123\) | 0.729567 | + | 16.2096i | 0.0657829 | + | 1.46157i | ||||
\(124\) | 5.03644 | 0.452286 | ||||||||
\(125\) | 11.8423i | 1.05921i | ||||||||
\(126\) | −0.436822 | − | 4.84285i | −0.0389152 | − | 0.431435i | ||||
\(127\) | − | 13.8614i | − | 1.23000i | −0.788525 | − | 0.615002i | \(-0.789155\pi\) | ||
0.788525 | − | 0.615002i | \(-0.210845\pi\) | |||||||
\(128\) | 8.32307 | 0.735662 | ||||||||
\(129\) | 9.60329 | − | 0.432228i | 0.845522 | − | 0.0380556i | ||||
\(130\) | 2.99464 | 0.262647 | ||||||||
\(131\) | −14.4584 | −1.26323 | −0.631617 | − | 0.775281i | \(-0.717608\pi\) | ||||
−0.631617 | + | 0.775281i | \(0.717608\pi\) | |||||||
\(132\) | 2.33351 | − | 7.23496i | 0.203106 | − | 0.629722i | ||||
\(133\) | 9.33656 | 0.809582 | ||||||||
\(134\) | −6.48948 | −0.560605 | ||||||||
\(135\) | 18.7445 | − | 2.54473i | 1.61327 | − | 0.219015i | ||||
\(136\) | 20.4647 | 1.75483 | ||||||||
\(137\) | − | 9.16681i | − | 0.783174i | −0.920141 | − | 0.391587i | \(-0.871926\pi\) | ||
0.920141 | − | 0.391587i | \(-0.128074\pi\) | |||||||
\(138\) | 2.00387 | − | 0.0901909i | 0.170581 | − | 0.00767756i | ||||
\(139\) | 6.45802i | 0.547762i | 0.961764 | + | 0.273881i | \(0.0883075\pi\) | ||||
−0.961764 | + | 0.273881i | \(0.911692\pi\) | |||||||
\(140\) | 9.49242 | 0.802256 | ||||||||
\(141\) | −19.7892 | + | 0.890681i | −1.66655 | + | 0.0750089i | ||||
\(142\) | − | 4.14372i | − | 0.347733i | ||||||
\(143\) | −1.15897 | + | 3.10754i | −0.0969182 | + | 0.259865i | ||||
\(144\) | −1.18880 | + | 0.107229i | −0.0990668 | + | 0.00893577i | ||||
\(145\) | 2.18072i | 0.181099i | ||||||||
\(146\) | − | 0.655667i | − | 0.0542634i | ||||||
\(147\) | −0.242790 | − | 5.39434i | −0.0200250 | − | 0.444918i | ||||
\(148\) | −6.61100 | −0.543421 | ||||||||
\(149\) | 12.7811 | 1.04707 | 0.523534 | − | 0.852005i | \(-0.324613\pi\) | ||||
0.523534 | + | 0.852005i | \(0.324613\pi\) | |||||||
\(150\) | −0.528703 | − | 11.7468i | −0.0431684 | − | 0.959121i | ||||
\(151\) | − | 15.5506i | − | 1.26549i | −0.774361 | − | 0.632744i | \(-0.781928\pi\) | ||
0.774361 | − | 0.632744i | \(-0.218072\pi\) | |||||||
\(152\) | 12.9538i | 1.05069i | ||||||||
\(153\) | −22.3669 | + | 2.01748i | −1.80826 | + | 0.163104i | ||||
\(154\) | 1.87850 | − | 5.03681i | 0.151374 | − | 0.405877i | ||||
\(155\) | 13.8551i | 1.11287i | ||||||||
\(156\) | 2.28976 | − | 0.103058i | 0.183328 | − | 0.00825128i | ||||
\(157\) | 5.77124 | 0.460595 | 0.230297 | − | 0.973120i | \(-0.426030\pi\) | ||||
0.230297 | + | 0.973120i | \(0.426030\pi\) | |||||||
\(158\) | 0.600122i | 0.0477431i | ||||||||
\(159\) | −13.0310 | + | 0.586505i | −1.03343 | + | 0.0465128i | ||||
\(160\) | 21.0958i | 1.66777i | ||||||||
\(161\) | −2.77404 | −0.218625 | ||||||||
\(162\) | −7.28389 | + | 1.32478i | −0.572276 | + | 0.104085i | ||||
\(163\) | −16.2905 | −1.27597 | −0.637987 | − | 0.770047i | \(-0.720233\pi\) | ||||
−0.637987 | + | 0.770047i | \(0.720233\pi\) | |||||||
\(164\) | 12.3971 | 0.968051 | ||||||||
\(165\) | 19.9032 | + | 6.41945i | 1.54946 | + | 0.499754i | ||||
\(166\) | 1.20867 | 0.0938113 | ||||||||
\(167\) | −5.00890 | −0.387600 | −0.193800 | − | 0.981041i | \(-0.562081\pi\) | ||||
−0.193800 | + | 0.981041i | \(0.562081\pi\) | |||||||
\(168\) | −9.32039 | + | 0.419495i | −0.719084 | + | 0.0323648i | ||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | 22.4175i | 1.71935i | ||||||||
\(171\) | −1.27703 | − | 14.1578i | −0.0976569 | − | 1.08268i | ||||
\(172\) | − | 7.34460i | − | 0.560020i | ||||||
\(173\) | −25.7966 | −1.96128 | −0.980640 | − | 0.195821i | \(-0.937263\pi\) | ||||
−0.980640 | + | 0.195821i | \(0.937263\pi\) | |||||||
\(174\) | −0.0383748 | − | 0.852615i | −0.00290919 | − | 0.0646366i | ||||
\(175\) | 16.2615i | 1.22926i | ||||||||
\(176\) | −1.23641 | − | 0.461127i | −0.0931982 | − | 0.0347588i | ||||
\(177\) | 2.53433 | − | 0.114066i | 0.190492 | − | 0.00857374i | ||||
\(178\) | 11.0253i | 0.826384i | ||||||||
\(179\) | 17.2616i | 1.29019i | 0.764101 | + | 0.645097i | \(0.223183\pi\) | ||||
−0.764101 | + | 0.645097i | \(0.776817\pi\) | |||||||
\(180\) | −1.29835 | − | 14.3942i | −0.0967732 | − | 1.07288i | ||||
\(181\) | 14.0884 | 1.04718 | 0.523591 | − | 0.851969i | \(-0.324592\pi\) | ||||
0.523591 | + | 0.851969i | \(0.324592\pi\) | |||||||
\(182\) | 1.62084 | 0.120144 | ||||||||
\(183\) | −0.184984 | + | 0.00832582i | −0.0136744 | + | 0.000615462i | ||||
\(184\) | − | 3.84877i | − | 0.283735i | ||||||
\(185\) | − | 18.1867i | − | 1.33711i | ||||||
\(186\) | −0.243813 | − | 5.41706i | −0.0178772 | − | 0.397198i | ||||
\(187\) | −23.2627 | − | 8.67595i | −1.70114 | − | 0.634449i | ||||
\(188\) | 15.1348i | 1.10382i | ||||||||
\(189\) | 10.1454 | − | 1.37732i | 0.737967 | − | 0.100186i | ||||
\(190\) | −14.1899 | −1.02944 | ||||||||
\(191\) | − | 10.0965i | − | 0.730558i | −0.930898 | − | 0.365279i | \(-0.880974\pi\) | ||
0.930898 | − | 0.365279i | \(-0.119026\pi\) | |||||||
\(192\) | −0.309258 | − | 6.87112i | −0.0223188 | − | 0.495880i | ||||
\(193\) | − | 23.3319i | − | 1.67947i | −0.542998 | − | 0.839734i | \(-0.682711\pi\) | ||
0.542998 | − | 0.839734i | \(-0.317289\pi\) | |||||||
\(194\) | 1.72797 | 0.124061 | ||||||||
\(195\) | 0.283512 | + | 6.29909i | 0.0203027 | + | 0.451087i | ||||
\(196\) | −4.12559 | −0.294685 | ||||||||
\(197\) | −13.5231 | −0.963483 | −0.481742 | − | 0.876313i | \(-0.659996\pi\) | ||||
−0.481742 | + | 0.876313i | \(0.659996\pi\) | |||||||
\(198\) | −7.89469 | − | 2.15962i | −0.561051 | − | 0.153478i | ||||
\(199\) | −14.9912 | −1.06270 | −0.531348 | − | 0.847154i | \(-0.678314\pi\) | ||||
−0.531348 | + | 0.847154i | \(0.678314\pi\) | |||||||
\(200\) | −22.5617 | −1.59535 | ||||||||
\(201\) | −0.614379 | − | 13.6503i | −0.0433350 | − | 0.962821i | ||||
\(202\) | 1.24187 | 0.0873776 | ||||||||
\(203\) | 1.18031i | 0.0828414i | ||||||||
\(204\) | 0.771485 | + | 17.1409i | 0.0540148 | + | 1.20010i | ||||
\(205\) | 34.1042i | 2.38194i | ||||||||
\(206\) | 7.13966 | 0.497444 | ||||||||
\(207\) | 0.379425 | + | 4.20651i | 0.0263719 | + | 0.292373i | ||||
\(208\) | − | 0.397876i | − | 0.0275877i | ||||||
\(209\) | 5.49172 | − | 14.7249i | 0.379870 | − | 1.01854i | ||||
\(210\) | −0.459526 | − | 10.2098i | −0.0317103 | − | 0.704542i | ||||
\(211\) | 18.8296i | 1.29628i | 0.761520 | + | 0.648141i | \(0.224453\pi\) | ||||
−0.761520 | + | 0.648141i | \(0.775547\pi\) | |||||||
\(212\) | 9.96612i | 0.684476i | ||||||||
\(213\) | 8.71614 | − | 0.392299i | 0.597220 | − | 0.0268799i | ||||
\(214\) | −9.91490 | −0.677768 | ||||||||
\(215\) | 20.2048 | 1.37796 | ||||||||
\(216\) | 1.91094 | + | 14.0759i | 0.130023 | + | 0.957747i | ||||
\(217\) | 7.49905i | 0.509068i | ||||||||
\(218\) | 7.40641i | 0.501626i | ||||||||
\(219\) | 1.37917 | − | 0.0620740i | 0.0931954 | − | 0.00419457i | ||||
\(220\) | 5.58340 | − | 14.9707i | 0.376433 | − | 1.00932i | ||||
\(221\) | − | 7.48590i | − | 0.503556i | ||||||
\(222\) | 0.320037 | + | 7.11060i | 0.0214795 | + | 0.477233i | ||||
\(223\) | −15.1932 | −1.01741 | −0.508704 | − | 0.860941i | \(-0.669875\pi\) | ||||
−0.508704 | + | 0.860941i | \(0.669875\pi\) | |||||||
\(224\) | 11.4180i | 0.762900i | ||||||||
\(225\) | 24.6588 | − | 2.22421i | 1.64392 | − | 0.148281i | ||||
\(226\) | − | 10.8061i | − | 0.718810i | ||||||
\(227\) | 16.2947 | 1.08152 | 0.540759 | − | 0.841177i | \(-0.318137\pi\) | ||||
0.540759 | + | 0.841177i | \(0.318137\pi\) | |||||||
\(228\) | −10.8499 | + | 0.488336i | −0.718552 | + | 0.0323408i | ||||
\(229\) | 18.5904 | 1.22849 | 0.614244 | − | 0.789116i | \(-0.289461\pi\) | ||||
0.614244 | + | 0.789116i | \(0.289461\pi\) | |||||||
\(230\) | 4.21604 | 0.277997 | ||||||||
\(231\) | 10.7725 | + | 3.47450i | 0.708782 | + | 0.228606i | ||||
\(232\) | −1.63759 | −0.107513 | ||||||||
\(233\) | −6.38041 | −0.417995 | −0.208997 | − | 0.977916i | \(-0.567020\pi\) | ||||
−0.208997 | + | 0.977916i | \(0.567020\pi\) | |||||||
\(234\) | −0.221694 | − | 2.45782i | −0.0144926 | − | 0.160672i | ||||
\(235\) | −41.6356 | −2.71600 | ||||||||
\(236\) | − | 1.93826i | − | 0.126170i | ||||||
\(237\) | −1.26233 | + | 0.0568154i | −0.0819972 | + | 0.00369056i | ||||
\(238\) | 12.1334i | 0.786492i | ||||||||
\(239\) | −24.6706 | −1.59581 | −0.797906 | − | 0.602782i | \(-0.794059\pi\) | ||||
−0.797906 | + | 0.602782i | \(0.794059\pi\) | |||||||
\(240\) | −2.50626 | + | 0.112802i | −0.161778 | + | 0.00728137i | ||||
\(241\) | − | 11.9918i | − | 0.772458i | −0.922403 | − | 0.386229i | \(-0.873777\pi\) | ||
0.922403 | − | 0.386229i | \(-0.126223\pi\) | |||||||
\(242\) | −6.83872 | − | 5.92525i | −0.439609 | − | 0.380890i | ||||
\(243\) | −3.47621 | − | 15.1959i | −0.222999 | − | 0.974819i | ||||
\(244\) | 0.141476i | 0.00905705i | ||||||||
\(245\) | − | 11.3494i | − | 0.725088i | ||||||
\(246\) | −0.600140 | − | 13.3340i | −0.0382636 | − | 0.850143i | ||||
\(247\) | 4.73844 | 0.301500 | ||||||||
\(248\) | −10.4044 | −0.660678 | ||||||||
\(249\) | 0.114429 | + | 2.54240i | 0.00725164 | + | 0.161118i | ||||
\(250\) | − | 9.74146i | − | 0.616104i | ||||||
\(251\) | 10.1956i | 0.643544i | 0.946817 | + | 0.321772i | \(0.104278\pi\) | ||||
−0.946817 | + | 0.321772i | \(0.895722\pi\) | |||||||
\(252\) | −0.702726 | − | 7.79080i | −0.0442676 | − | 0.490775i | ||||
\(253\) | −1.63168 | + | 4.37499i | −0.102583 | + | 0.275053i | ||||
\(254\) | 11.4024i | 0.715450i | ||||||||
\(255\) | −47.1543 | + | 2.12234i | −2.95292 | + | 0.132906i | ||||
\(256\) | −14.7887 | −0.924291 | ||||||||
\(257\) | − | 16.6626i | − | 1.03939i | −0.854353 | − | 0.519693i | \(-0.826046\pi\) | ||
0.854353 | − | 0.519693i | \(-0.173954\pi\) | |||||||
\(258\) | −7.89964 | + | 0.355550i | −0.491810 | + | 0.0221356i | ||||
\(259\) | − | 9.84349i | − | 0.611645i | ||||||
\(260\) | 4.81754 | 0.298771 | ||||||||
\(261\) | 1.78981 | − | 0.161439i | 0.110786 | − | 0.00999285i | ||||
\(262\) | 11.8934 | 0.734778 | ||||||||
\(263\) | 9.52849 | 0.587552 | 0.293776 | − | 0.955874i | \(-0.405088\pi\) | ||||
0.293776 | + | 0.955874i | \(0.405088\pi\) | |||||||
\(264\) | −4.82062 | + | 14.9461i | −0.296689 | + | 0.919870i | ||||
\(265\) | −27.4166 | −1.68419 | ||||||||
\(266\) | −7.68023 | −0.470905 | ||||||||
\(267\) | −23.1913 | + | 1.04380i | −1.41929 | + | 0.0638798i | ||||
\(268\) | −10.4398 | −0.637711 | ||||||||
\(269\) | − | 13.6704i | − | 0.833499i | −0.909021 | − | 0.416750i | \(-0.863169\pi\) | ||
0.909021 | − | 0.416750i | \(-0.136831\pi\) | |||||||
\(270\) | −15.4191 | + | 2.09329i | −0.938379 | + | 0.127393i | ||||
\(271\) | 5.38915i | 0.327368i | 0.986513 | + | 0.163684i | \(0.0523377\pi\) | ||||
−0.986513 | + | 0.163684i | \(0.947662\pi\) | |||||||
\(272\) | 2.97846 | 0.180596 | ||||||||
\(273\) | 0.153450 | + | 3.40936i | 0.00928719 | + | 0.206344i | ||||
\(274\) | 7.54060i | 0.455544i | ||||||||
\(275\) | 25.6464 | + | 9.56497i | 1.54654 | + | 0.576789i | ||||
\(276\) | 3.22367 | − | 0.145092i | 0.194042 | − | 0.00873352i | ||||
\(277\) | 19.6645i | 1.18152i | 0.806846 | + | 0.590762i | \(0.201173\pi\) | ||||
−0.806846 | + | 0.590762i | \(0.798827\pi\) | |||||||
\(278\) | − | 5.31235i | − | 0.318614i | ||||||
\(279\) | 11.3715 | − | 1.02570i | 0.680792 | − | 0.0614070i | ||||
\(280\) | −19.6096 | −1.17190 | ||||||||
\(281\) | 15.9614 | 0.952180 | 0.476090 | − | 0.879397i | \(-0.342054\pi\) | ||||
0.476090 | + | 0.879397i | \(0.342054\pi\) | |||||||
\(282\) | 16.2786 | − | 0.732672i | 0.969376 | − | 0.0436300i | ||||
\(283\) | − | 13.8927i | − | 0.825834i | −0.910769 | − | 0.412917i | \(-0.864510\pi\) | ||
0.910769 | − | 0.412917i | \(-0.135490\pi\) | |||||||
\(284\) | − | 6.66610i | − | 0.395560i | ||||||
\(285\) | −1.34340 | − | 29.8478i | −0.0795763 | − | 1.76803i | ||||
\(286\) | 0.953369 | − | 2.55625i | 0.0563739 | − | 0.151154i | ||||
\(287\) | 18.4588i | 1.08959i | ||||||||
\(288\) | 17.3142 | − | 1.56173i | 1.02025 | − | 0.0920258i | ||||
\(289\) | 39.0387 | 2.29639 | ||||||||
\(290\) | − | 1.79386i | − | 0.105339i | ||||||
\(291\) | 0.163592 | + | 3.63470i | 0.00958994 | + | 0.213070i | ||||
\(292\) | − | 1.05479i | − | 0.0617267i | ||||||
\(293\) | 26.6897 | 1.55923 | 0.779614 | − | 0.626261i | \(-0.215415\pi\) | ||||
0.779614 | + | 0.626261i | \(0.215415\pi\) | |||||||
\(294\) | 0.199719 | + | 4.43737i | 0.0116478 | + | 0.258793i | ||||
\(295\) | 5.33211 | 0.310447 | ||||||||
\(296\) | 13.6571 | 0.793804 | ||||||||
\(297\) | 3.79525 | − | 16.8106i | 0.220223 | − | 0.975450i | ||||
\(298\) | −10.5137 | −0.609042 | ||||||||
\(299\) | −1.40786 | −0.0814189 | ||||||||
\(300\) | −0.850538 | − | 18.8973i | −0.0491058 | − | 1.09104i | ||||
\(301\) | 10.9358 | 0.630329 | ||||||||
\(302\) | 12.7919i | 0.736090i | ||||||||
\(303\) | 0.117572 | + | 2.61222i | 0.00675431 | + | 0.150068i | ||||
\(304\) | 1.88531i | 0.108130i | ||||||||
\(305\) | −0.389197 | −0.0222853 | ||||||||
\(306\) | 18.3990 | − | 1.65958i | 1.05180 | − | 0.0948716i | ||||
\(307\) | 32.3856i | 1.84835i | 0.381974 | + | 0.924173i | \(0.375244\pi\) | ||||
−0.381974 | + | 0.924173i | \(0.624756\pi\) | |||||||
\(308\) | 3.02200 | − | 8.10283i | 0.172194 | − | 0.461702i | ||||
\(309\) | 0.675934 | + | 15.0180i | 0.0384526 | + | 0.854343i | ||||
\(310\) | − | 11.3972i | − | 0.647318i | ||||||
\(311\) | 7.90235i | 0.448101i | 0.974578 | + | 0.224051i | \(0.0719281\pi\) | ||||
−0.974578 | + | 0.224051i | \(0.928072\pi\) | |||||||
\(312\) | −4.73023 | + | 0.212900i | −0.267797 | + | 0.0120531i | ||||
\(313\) | 31.8926 | 1.80268 | 0.901338 | − | 0.433117i | \(-0.142586\pi\) | ||||
0.901338 | + | 0.433117i | \(0.142586\pi\) | |||||||
\(314\) | −4.74741 | −0.267912 | ||||||||
\(315\) | 21.4323 | − | 1.93319i | 1.20758 | − | 0.108923i | ||||
\(316\) | 0.965431i | 0.0543097i | ||||||||
\(317\) | 30.9739i | 1.73966i | 0.493347 | + | 0.869832i | \(0.335773\pi\) | ||||
−0.493347 | + | 0.869832i | \(0.664227\pi\) | |||||||
\(318\) | 10.7193 | − | 0.482457i | 0.601107 | − | 0.0270549i | ||||
\(319\) | 1.86149 | + | 0.694252i | 0.104223 | + | 0.0388707i | ||||
\(320\) | − | 14.4565i | − | 0.808142i | ||||||
\(321\) | −0.938675 | − | 20.8556i | −0.0523917 | − | 1.16404i | ||||
\(322\) | 2.28192 | 0.127166 | ||||||||
\(323\) | 35.4715i | 1.97369i | ||||||||
\(324\) | −11.7178 | + | 2.13121i | −0.650987 | + | 0.118401i | ||||
\(325\) | 8.25297i | 0.457792i | ||||||||
\(326\) | 13.4006 | 0.742189 | ||||||||
\(327\) | −15.5791 | + | 0.701188i | −0.861525 | + | 0.0387758i | ||||
\(328\) | −25.6102 | −1.41408 | ||||||||
\(329\) | −22.5351 | −1.24240 | ||||||||
\(330\) | −16.3724 | − | 5.28063i | −0.901268 | − | 0.290689i | ||||
\(331\) | 19.6028 | 1.07747 | 0.538734 | − | 0.842476i | \(-0.318903\pi\) | ||||
0.538734 | + | 0.842476i | \(0.318903\pi\) | |||||||
\(332\) | 1.94442 | 0.106714 | ||||||||
\(333\) | −14.9266 | + | 1.34637i | −0.817970 | + | 0.0737804i | ||||
\(334\) | 4.12031 | 0.225453 | ||||||||
\(335\) | − | 28.7196i | − | 1.56912i | ||||||
\(336\) | −1.35650 | + | 0.0610539i | −0.0740032 | + | 0.00333076i | ||||
\(337\) | 1.13045i | 0.0615795i | 0.999526 | + | 0.0307898i | \(0.00980224\pi\) | ||||
−0.999526 | + | 0.0307898i | \(0.990198\pi\) | |||||||
\(338\) | 0.822598 | 0.0447434 | ||||||||
\(339\) | 22.7301 | − | 1.02305i | 1.23453 | − | 0.0555642i | ||||
\(340\) | 36.0637i | 1.95583i | ||||||||
\(341\) | 11.8269 | + | 4.41091i | 0.640462 | + | 0.238864i | ||||
\(342\) | 1.05048 | + | 11.6462i | 0.0568035 | + | 0.629755i | ||||
\(343\) | − | 19.9355i | − | 1.07642i | ||||||
\(344\) | 15.1726i | 0.818052i | ||||||||
\(345\) | 0.399146 | + | 8.86826i | 0.0214893 | + | 0.477451i | ||||
\(346\) | 21.2202 | 1.14081 | ||||||||
\(347\) | 5.18095 | 0.278128 | 0.139064 | − | 0.990283i | \(-0.455591\pi\) | ||||
0.139064 | + | 0.990283i | \(0.455591\pi\) | |||||||
\(348\) | −0.0617345 | − | 1.37162i | −0.00330931 | − | 0.0735267i | ||||
\(349\) | − | 6.62690i | − | 0.354730i | −0.984145 | − | 0.177365i | \(-0.943243\pi\) | ||
0.984145 | − | 0.177365i | \(-0.0567573\pi\) | |||||||
\(350\) | − | 13.3767i | − | 0.715015i | ||||||
\(351\) | 5.14892 | − | 0.699012i | 0.274829 | − | 0.0373105i | ||||
\(352\) | 18.0076 | + | 6.71604i | 0.959810 | + | 0.357966i | ||||
\(353\) | 11.0354i | 0.587353i | 0.955905 | + | 0.293677i | \(0.0948789\pi\) | ||||
−0.955905 | + | 0.293677i | \(0.905121\pi\) | |||||||
\(354\) | −2.08474 | + | 0.0938305i | −0.110802 | + | 0.00498704i | ||||
\(355\) | 18.3383 | 0.973297 | ||||||||
\(356\) | 17.7367i | 0.940045i | ||||||||
\(357\) | −25.5221 | + | 1.14871i | −1.35077 | + | 0.0607961i | ||||
\(358\) | − | 14.1994i | − | 0.750460i | ||||||
\(359\) | −13.4125 | −0.707883 | −0.353941 | − | 0.935268i | \(-0.615159\pi\) | ||||
−0.353941 | + | 0.935268i | \(0.615159\pi\) | |||||||
\(360\) | 2.68215 | + | 29.7358i | 0.141362 | + | 1.56721i | ||||
\(361\) | −3.45280 | −0.181726 | ||||||||
\(362\) | −11.5891 | −0.609109 | ||||||||
\(363\) | 11.8161 | − | 14.9459i | 0.620183 | − | 0.784457i | ||||
\(364\) | 2.60748 | 0.136669 | ||||||||
\(365\) | 2.90170 | 0.151882 | ||||||||
\(366\) | 0.152167 | − | 0.00684880i | 0.00795391 | − | 0.000357992i | ||||
\(367\) | 26.6740 | 1.39237 | 0.696185 | − | 0.717862i | \(-0.254879\pi\) | ||||
0.696185 | + | 0.717862i | \(0.254879\pi\) | |||||||
\(368\) | − | 0.560155i | − | 0.0292001i | ||||||
\(369\) | 27.9906 | − | 2.52474i | 1.45713 | − | 0.131433i | ||||
\(370\) | 14.9604i | 0.777752i | ||||||||
\(371\) | −14.8391 | −0.770409 | ||||||||
\(372\) | −0.392228 | − | 8.71455i | −0.0203360 | − | 0.451828i | ||||
\(373\) | − | 25.5671i | − | 1.32382i | −0.749585 | − | 0.661908i | \(-0.769747\pi\) | ||
0.749585 | − | 0.661908i | \(-0.230253\pi\) | |||||||
\(374\) | 19.1358 | + | 7.13682i | 0.989491 | + | 0.369036i | ||||
\(375\) | 20.4907 | − | 0.922255i | 1.05814 | − | 0.0476250i | ||||
\(376\) | − | 31.2658i | − | 1.61241i | ||||||
\(377\) | 0.599024i | 0.0308513i | ||||||||
\(378\) | −8.34555 | + | 1.13298i | −0.429249 | + | 0.0582744i | ||||
\(379\) | −12.1517 | −0.624189 | −0.312095 | − | 0.950051i | \(-0.601031\pi\) | ||||
−0.312095 | + | 0.950051i | \(0.601031\pi\) | |||||||
\(380\) | −22.8276 | −1.17103 | ||||||||
\(381\) | −23.9845 | + | 1.07950i | −1.22876 | + | 0.0553045i | ||||
\(382\) | 8.30537i | 0.424940i | ||||||||
\(383\) | 4.94055i | 0.252450i | 0.992002 | + | 0.126225i | \(0.0402862\pi\) | ||||
−0.992002 | + | 0.126225i | \(0.959714\pi\) | |||||||
\(384\) | −0.648183 | − | 14.4014i | −0.0330775 | − | 0.734918i | ||||
\(385\) | 22.2907 | + | 8.31345i | 1.13604 | + | 0.423693i | ||||
\(386\) | 19.1928i | 0.976887i | ||||||||
\(387\) | −1.49577 | − | 16.5829i | −0.0760342 | − | 0.842956i | ||||
\(388\) | 2.77982 | 0.141124 | ||||||||
\(389\) | − | 7.29922i | − | 0.370085i | −0.982730 | − | 0.185043i | \(-0.940758\pi\) | ||
0.982730 | − | 0.185043i | \(-0.0592423\pi\) | |||||||
\(390\) | −0.233216 | − | 5.18162i | −0.0118094 | − | 0.262381i | ||||
\(391\) | − | 10.5391i | − | 0.532987i | ||||||
\(392\) | 8.52272 | 0.430463 | ||||||||
\(393\) | 1.12599 | + | 25.0173i | 0.0567986 | + | 1.26196i | ||||
\(394\) | 11.1241 | 0.560424 | ||||||||
\(395\) | −2.65588 | −0.133632 | ||||||||
\(396\) | −12.7004 | − | 3.47423i | −0.638218 | − | 0.174587i | ||||
\(397\) | 23.0312 | 1.15590 | 0.577951 | − | 0.816071i | \(-0.303852\pi\) | ||||
0.577951 | + | 0.816071i | \(0.303852\pi\) | |||||||
\(398\) | 12.3317 | 0.618132 | ||||||||
\(399\) | −0.727112 | − | 16.1550i | −0.0364011 | − | 0.808763i | ||||
\(400\) | −3.28366 | −0.164183 | ||||||||
\(401\) | − | 10.2892i | − | 0.513818i | −0.966436 | − | 0.256909i | \(-0.917296\pi\) | ||
0.966436 | − | 0.256909i | \(-0.0827041\pi\) | |||||||
\(402\) | 0.505387 | + | 11.2287i | 0.0252064 | + | 0.560039i | ||||
\(403\) | 3.80588i | 0.189584i | ||||||||
\(404\) | 1.99782 | 0.0993955 | ||||||||
\(405\) | −5.86292 | − | 32.2353i | −0.291331 | − | 1.60179i | ||||
\(406\) | − | 0.970919i | − | 0.0481859i | ||||||
\(407\) | −15.5244 | − | 5.78990i | −0.769515 | − | 0.286995i | ||||
\(408\) | −1.59375 | − | 35.4100i | −0.0789023 | − | 1.75306i | ||||
\(409\) | − | 7.84172i | − | 0.387748i | −0.981026 | − | 0.193874i | \(-0.937895\pi\) | ||
0.981026 | − | 0.193874i | \(-0.0621053\pi\) | |||||||
\(410\) | − | 28.0540i | − | 1.38549i | ||||||
\(411\) | −15.8613 | + | 0.713892i | −0.782382 | + | 0.0352137i | ||||
\(412\) | 11.4857 | 0.565862 | ||||||||
\(413\) | 2.88598 | 0.142010 | ||||||||
\(414\) | −0.312114 | − | 3.46027i | −0.0153396 | − | 0.170063i | ||||
\(415\) | 5.34907i | 0.262576i | ||||||||
\(416\) | 5.79482i | 0.284115i | ||||||||
\(417\) | 11.1743 | − | 0.502937i | 0.547208 | − | 0.0246290i | ||||
\(418\) | −4.51748 | + | 12.1126i | −0.220957 | + | 0.592449i | ||||
\(419\) | − | 26.0909i | − | 1.27462i | −0.770606 | − | 0.637312i | \(-0.780046\pi\) | ||
0.770606 | − | 0.637312i | \(-0.219954\pi\) | |||||||
\(420\) | −0.739250 | − | 16.4247i | −0.0360717 | − | 0.801445i | ||||
\(421\) | 34.5203 | 1.68242 | 0.841209 | − | 0.540710i | \(-0.181844\pi\) | ||||
0.841209 | + | 0.540710i | \(0.181844\pi\) | |||||||
\(422\) | − | 15.4892i | − | 0.754001i | ||||||
\(423\) | 3.08229 | + | 34.1719i | 0.149866 | + | 1.66150i | ||||
\(424\) | − | 20.5882i | − | 0.999851i | ||||||
\(425\) | −61.7809 | −2.99681 | ||||||||
\(426\) | −7.16987 | + | 0.322704i | −0.347382 | + | 0.0156351i | ||||
\(427\) | −0.210651 | −0.0101941 | ||||||||
\(428\) | −15.9503 | −0.770989 | ||||||||
\(429\) | 5.46723 | + | 1.76336i | 0.263960 | + | 0.0851359i | ||||
\(430\) | −16.6205 | −0.801509 | ||||||||
\(431\) | 20.5500 | 0.989858 | 0.494929 | − | 0.868933i | \(-0.335194\pi\) | ||||
0.494929 | + | 0.868933i | \(0.335194\pi\) | |||||||
\(432\) | 0.278120 | + | 2.04863i | 0.0133811 | + | 0.0985648i | ||||
\(433\) | −37.7944 | −1.81629 | −0.908143 | − | 0.418661i | \(-0.862500\pi\) | ||||
−0.908143 | + | 0.418661i | \(0.862500\pi\) | |||||||
\(434\) | − | 6.16870i | − | 0.296107i | ||||||
\(435\) | 3.77330 | − | 0.169830i | 0.180916 | − | 0.00814274i | ||||
\(436\) | 11.9149i | 0.570619i | ||||||||
\(437\) | 6.67108 | 0.319121 | ||||||||
\(438\) | −1.13450 | + | 0.0510619i | −0.0542085 | + | 0.00243983i | ||||
\(439\) | 10.2561i | 0.489496i | 0.969587 | + | 0.244748i | \(0.0787052\pi\) | ||||
−0.969587 | + | 0.244748i | \(0.921295\pi\) | |||||||
\(440\) | −11.5343 | + | 30.9267i | −0.549876 | + | 1.47437i | ||||
\(441\) | −9.31491 | + | 0.840200i | −0.443567 | + | 0.0400095i | ||||
\(442\) | 6.15788i | 0.292901i | ||||||||
\(443\) | − | 27.2560i | − | 1.29497i | −0.762078 | − | 0.647485i | \(-0.775821\pi\) | ||
0.762078 | − | 0.647485i | \(-0.224179\pi\) | |||||||
\(444\) | 0.514851 | + | 11.4390i | 0.0244337 | + | 0.542871i | ||||
\(445\) | −48.7934 | −2.31303 | ||||||||
\(446\) | 12.4979 | 0.591791 | ||||||||
\(447\) | −0.995365 | − | 22.1151i | −0.0470791 | − | 1.04601i | ||||
\(448\) | − | 7.82452i | − | 0.369674i | ||||||
\(449\) | − | 11.2839i | − | 0.532519i | −0.963901 | − | 0.266260i | \(-0.914212\pi\) | ||
0.963901 | − | 0.266260i | \(-0.0857879\pi\) | |||||||
\(450\) | −20.2843 | + | 1.82963i | −0.956210 | + | 0.0862496i | ||||
\(451\) | 29.1117 | + | 10.8574i | 1.37082 | + | 0.511253i | ||||
\(452\) | − | 17.3840i | − | 0.817675i | ||||||
\(453\) | −26.9072 | + | 1.21105i | −1.26421 | + | 0.0569000i | ||||
\(454\) | −13.4040 | −0.629081 | ||||||||
\(455\) | 7.17312i | 0.336281i | ||||||||
\(456\) | 22.4139 | − | 1.00881i | 1.04963 | − | 0.0472420i | ||||
\(457\) | − | 32.1191i | − | 1.50247i | −0.660037 | − | 0.751233i | \(-0.729459\pi\) | ||
0.660037 | − | 0.751233i | \(-0.270541\pi\) | |||||||
\(458\) | −15.2924 | −0.714568 | ||||||||
\(459\) | 5.23273 | + | 38.5443i | 0.244243 | + | 1.79909i | ||||
\(460\) | 6.78245 | 0.316233 | ||||||||
\(461\) | −19.1961 | −0.894050 | −0.447025 | − | 0.894522i | \(-0.647516\pi\) | ||||
−0.447025 | + | 0.894522i | \(0.647516\pi\) | |||||||
\(462\) | −8.86147 | − | 2.85812i | −0.412273 | − | 0.132972i | ||||
\(463\) | −5.80982 | −0.270005 | −0.135003 | − | 0.990845i | \(-0.543104\pi\) | ||||
−0.135003 | + | 0.990845i | \(0.543104\pi\) | |||||||
\(464\) | −0.238337 | −0.0110645 | ||||||||
\(465\) | 23.9736 | − | 1.07901i | 1.11175 | − | 0.0500379i | ||||
\(466\) | 5.24851 | 0.243133 | ||||||||
\(467\) | 0.750658i | 0.0347363i | 0.999849 | + | 0.0173681i | \(0.00552873\pi\) | ||||
−0.999849 | + | 0.0173681i | \(0.994471\pi\) | |||||||
\(468\) | −0.356644 | − | 3.95395i | −0.0164859 | − | 0.182771i | ||||
\(469\) | − | 15.5444i | − | 0.717773i | ||||||
\(470\) | 34.2493 | 1.57980 | ||||||||
\(471\) | −0.449452 | − | 9.98597i | −0.0207097 | − | 0.460129i | ||||
\(472\) | 4.00409i | 0.184303i | ||||||||
\(473\) | 6.43239 | − | 17.2471i | 0.295761 | − | 0.793021i | ||||
\(474\) | 1.03839 | − | 0.0467362i | 0.0476948 | − | 0.00214667i | ||||
\(475\) | − | 39.1062i | − | 1.79431i | ||||||
\(476\) | 19.5193i | 0.894666i | ||||||||
\(477\) | 2.02966 | + | 22.5019i | 0.0929316 | + | 1.03029i | ||||
\(478\) | 20.2940 | 0.928227 | ||||||||
\(479\) | 1.22846 | 0.0561295 | 0.0280648 | − | 0.999606i | \(-0.491066\pi\) | ||||
0.0280648 | + | 0.999606i | \(0.491066\pi\) | |||||||
\(480\) | 36.5021 | − | 1.64290i | 1.66609 | − | 0.0749878i | ||||
\(481\) | − | 4.99572i | − | 0.227785i | ||||||
\(482\) | 9.86440i | 0.449311i | ||||||||
\(483\) | 0.216036 | + | 4.79991i | 0.00982999 | + | 0.218404i | ||||
\(484\) | −11.0016 | − | 9.53210i | −0.500073 | − | 0.433277i | ||||
\(485\) | 7.64724i | 0.347243i | ||||||||
\(486\) | 2.85952 | + | 12.5001i | 0.129711 | + | 0.567017i | ||||
\(487\) | 7.82611 | 0.354635 | 0.177317 | − | 0.984154i | \(-0.443258\pi\) | ||||
0.177317 | + | 0.984154i | \(0.443258\pi\) | |||||||
\(488\) | − | 0.292263i | − | 0.0132301i | ||||||
\(489\) | 1.26867 | + | 28.1875i | 0.0573714 | + | 1.27468i | ||||
\(490\) | 9.33601i | 0.421758i | ||||||||
\(491\) | 16.4349 | 0.741698 | 0.370849 | − | 0.928693i | \(-0.379067\pi\) | ||||
0.370849 | + | 0.928693i | \(0.379067\pi\) | |||||||
\(492\) | −0.965460 | − | 21.4507i | −0.0435263 | − | 0.967072i | ||||
\(493\) | −4.48423 | −0.201960 | ||||||||
\(494\) | −3.89783 | −0.175372 | ||||||||
\(495\) | 9.55755 | − | 34.9385i | 0.429580 | − | 1.57037i | ||||
\(496\) | −1.51427 | −0.0679926 | ||||||||
\(497\) | 9.92554 | 0.445221 | ||||||||
\(498\) | −0.0941291 | − | 2.09137i | −0.00421802 | − | 0.0937165i | ||||
\(499\) | 15.3697 | 0.688042 | 0.344021 | − | 0.938962i | \(-0.388211\pi\) | ||||
0.344021 | + | 0.938962i | \(0.388211\pi\) | |||||||
\(500\) | − | 15.6713i | − | 0.700843i | ||||||
\(501\) | 0.390083 | + | 8.66690i | 0.0174276 | + | 0.387208i | ||||
\(502\) | − | 8.38692i | − | 0.374326i | ||||||
\(503\) | 1.56211 | 0.0696510 | 0.0348255 | − | 0.999393i | \(-0.488912\pi\) | ||||
0.0348255 | + | 0.999393i | \(0.488912\pi\) | |||||||
\(504\) | 1.45171 | + | 16.0944i | 0.0646641 | + | 0.716901i | ||||
\(505\) | 5.49597i | 0.244568i | ||||||||
\(506\) | 1.34221 | − | 3.59885i | 0.0596686 | − | 0.159989i | ||||
\(507\) | 0.0778779 | + | 1.73030i | 0.00345868 | + | 0.0768453i | ||||
\(508\) | 18.3433i | 0.813853i | ||||||||
\(509\) | 37.2107i | 1.64934i | 0.565617 | + | 0.824668i | \(0.308638\pi\) | ||||
−0.565617 | + | 0.824668i | \(0.691362\pi\) | |||||||
\(510\) | 38.7891 | − | 1.74583i | 1.71761 | − | 0.0773067i | ||||
\(511\) | 1.57053 | 0.0694763 | ||||||||
\(512\) | −4.48102 | −0.198035 | ||||||||
\(513\) | −24.3978 | + | 3.31223i | −1.07719 | + | 0.146238i | ||||
\(514\) | 13.7066i | 0.604574i | ||||||||
\(515\) | 31.5971i | 1.39233i | ||||||||
\(516\) | −12.7083 | + | 0.571982i | −0.559454 | + | 0.0251801i | ||||
\(517\) | −13.2550 | + | 35.5405i | −0.582956 | + | 1.56307i | ||||
\(518\) | 8.09724i | 0.355772i | ||||||||
\(519\) | 2.00899 | + | 44.6358i | 0.0881847 | + | 1.95930i | ||||
\(520\) | −9.95217 | −0.436432 | ||||||||
\(521\) | 17.0742i | 0.748035i | 0.927422 | + | 0.374018i | \(0.122020\pi\) | ||||
−0.927422 | + | 0.374018i | \(0.877980\pi\) | |||||||
\(522\) | −1.47229 | + | 0.132800i | −0.0644404 | + | 0.00581249i | ||||
\(523\) | 2.84243i | 0.124291i | 0.998067 | + | 0.0621455i | \(0.0197943\pi\) | ||||
−0.998067 | + | 0.0621455i | \(0.980206\pi\) | |||||||
\(524\) | 19.1332 | 0.835839 | ||||||||
\(525\) | 28.1373 | − | 1.26641i | 1.22801 | − | 0.0552709i | ||||
\(526\) | −7.83812 | −0.341758 | ||||||||
\(527\) | −28.4904 | −1.24106 | ||||||||
\(528\) | −0.701599 | + | 2.17528i | −0.0305332 | + | 0.0946668i | ||||
\(529\) | 21.0179 | 0.913823 | ||||||||
\(530\) | 22.5528 | 0.979632 | ||||||||
\(531\) | −0.394737 | − | 4.37627i | −0.0171301 | − | 0.189914i | ||||
\(532\) | −12.3554 | −0.535673 | ||||||||
\(533\) | 9.36809i | 0.405777i | ||||||||
\(534\) | 19.0771 | − | 0.858631i | 0.825549 | − | 0.0371566i | ||||
\(535\) | − | 43.8791i | − | 1.89706i | ||||||
\(536\) | 21.5667 | 0.931539 | ||||||||
\(537\) | 29.8678 | − | 1.34430i | 1.28889 | − | 0.0580108i | ||||
\(538\) | 11.2452i | 0.484817i | ||||||||
\(539\) | −9.68798 | − | 3.61319i | −0.417291 | − | 0.155631i | ||||
\(540\) | −24.8052 | + | 3.36752i | −1.06744 | + | 0.144915i | ||||
\(541\) | − | 13.1967i | − | 0.567371i | −0.958917 | − | 0.283686i | \(-0.908443\pi\) | ||
0.958917 | − | 0.283686i | \(-0.0915573\pi\) | |||||||
\(542\) | − | 4.43310i | − | 0.190418i | ||||||
\(543\) | −1.09718 | − | 24.3772i | −0.0470843 | − | 1.04612i | ||||
\(544\) | −43.3795 | −1.85988 | ||||||||
\(545\) | −32.7776 | −1.40404 | ||||||||
\(546\) | −0.126227 | − | 2.80453i | −0.00540203 | − | 0.120023i | ||||
\(547\) | 37.9580i | 1.62296i | 0.584377 | + | 0.811482i | \(0.301339\pi\) | ||||
−0.584377 | + | 0.811482i | \(0.698661\pi\) | |||||||
\(548\) | 12.1307i | 0.518200i | ||||||||
\(549\) | 0.0288123 | + | 0.319429i | 0.00122968 | + | 0.0136329i | ||||
\(550\) | −21.0967 | − | 7.86812i | −0.899565 | − | 0.335498i | ||||
\(551\) | − | 2.83844i | − | 0.120922i | ||||||
\(552\) | −6.65952 | + | 0.299734i | −0.283448 | + | 0.0127575i | ||||
\(553\) | −1.43749 | −0.0611281 | ||||||||
\(554\) | − | 16.1759i | − | 0.687250i | ||||||
\(555\) | −31.4685 | + | 1.41634i | −1.33576 | + | 0.0601205i | ||||
\(556\) | − | 8.54611i | − | 0.362436i | ||||||
\(557\) | 27.0725 | 1.14710 | 0.573549 | − | 0.819171i | \(-0.305566\pi\) | ||||
0.573549 | + | 0.819171i | \(0.305566\pi\) | |||||||
\(558\) | −9.35414 | + | 0.843738i | −0.395992 | + | 0.0357183i | ||||
\(559\) | 5.55007 | 0.234743 | ||||||||
\(560\) | −2.85401 | −0.120604 | ||||||||
\(561\) | −13.2003 | + | 40.9271i | −0.557319 | + | 1.72794i | ||||
\(562\) | −13.1298 | −0.553849 | ||||||||
\(563\) | 2.39600 | 0.100979 | 0.0504896 | − | 0.998725i | \(-0.483922\pi\) | ||||
0.0504896 | + | 0.998725i | \(0.483922\pi\) | |||||||
\(564\) | 26.1878 | − | 1.17867i | 1.10270 | − | 0.0496309i | ||||
\(565\) | 47.8231 | 2.01193 | ||||||||
\(566\) | 11.4281i | 0.480358i | ||||||||
\(567\) | −3.17328 | − | 17.4473i | −0.133265 | − | 0.732716i | ||||
\(568\) | 13.7710i | 0.577817i | ||||||||
\(569\) | 36.0766 | 1.51241 | 0.756205 | − | 0.654335i | \(-0.227051\pi\) | ||||
0.756205 | + | 0.654335i | \(0.227051\pi\) | |||||||
\(570\) | 1.10508 | + | 24.5528i | 0.0462867 | + | 1.02840i | ||||
\(571\) | − | 2.45299i | − | 0.102655i | −0.998682 | − | 0.0513273i | \(-0.983655\pi\) | ||
0.998682 | − | 0.0513273i | \(-0.0163452\pi\) | |||||||
\(572\) | 1.53371 | − | 4.11231i | 0.0641275 | − | 0.171944i | ||||
\(573\) | −17.4700 | + | 0.786295i | −0.729819 | + | 0.0328480i | ||||
\(574\) | − | 15.1841i | − | 0.633773i | ||||||
\(575\) | 11.6191i | 0.484548i | ||||||||
\(576\) | −11.8650 | + | 1.07022i | −0.494375 | + | 0.0445924i | ||||
\(577\) | −14.3299 | −0.596560 | −0.298280 | − | 0.954478i | \(-0.596413\pi\) | ||||
−0.298280 | + | 0.954478i | \(0.596413\pi\) | |||||||
\(578\) | −32.1131 | −1.33573 | ||||||||
\(579\) | −40.3712 | + | 1.81704i | −1.67777 | + | 0.0755136i | ||||
\(580\) | − | 2.88582i | − | 0.119827i | ||||||
\(581\) | 2.89516i | 0.120112i | ||||||||
\(582\) | −0.134570 | − | 2.98990i | −0.00557813 | − | 0.123935i | ||||
\(583\) | −8.72831 | + | 23.4031i | −0.361490 | + | 0.969257i | ||||
\(584\) | 2.17900i | 0.0901676i | ||||||||
\(585\) | 10.8772 | − | 0.981120i | 0.449718 | − | 0.0405643i | ||||
\(586\) | −21.9549 | −0.906947 | ||||||||
\(587\) | − | 34.0285i | − | 1.40451i | −0.711928 | − | 0.702253i | \(-0.752178\pi\) | ||
0.711928 | − | 0.702253i | \(-0.247822\pi\) | |||||||
\(588\) | 0.321292 | + | 7.13851i | 0.0132499 | + | 0.294387i | ||||
\(589\) | − | 18.0339i | − | 0.743074i | ||||||
\(590\) | −4.38618 | −0.180576 | ||||||||
\(591\) | 1.05315 | + | 23.3991i | 0.0433209 | + | 0.962509i | ||||
\(592\) | 1.98768 | 0.0816930 | ||||||||
\(593\) | 28.3202 | 1.16297 | 0.581486 | − | 0.813557i | \(-0.302472\pi\) | ||||
0.581486 | + | 0.813557i | \(0.302472\pi\) | |||||||
\(594\) | −3.12197 | + | 13.8284i | −0.128096 | + | 0.567384i | ||||
\(595\) | −53.6972 | −2.20137 | ||||||||
\(596\) | −16.9136 | −0.692810 | ||||||||
\(597\) | 1.16748 | + | 25.9392i | 0.0477818 | + | 1.06162i | ||||
\(598\) | 1.15811 | 0.0473585 | ||||||||
\(599\) | − | 20.8985i | − | 0.853890i | −0.904278 | − | 0.426945i | \(-0.859590\pi\) | ||
0.904278 | − | 0.426945i | \(-0.140410\pi\) | |||||||
\(600\) | 1.75706 | + | 39.0385i | 0.0717316 | + | 1.59374i | ||||
\(601\) | 39.0459i | 1.59272i | 0.604826 | + | 0.796358i | \(0.293243\pi\) | ||||
−0.604826 | + | 0.796358i | \(0.706757\pi\) | |||||||
\(602\) | −8.99576 | −0.366640 | ||||||||
\(603\) | −23.5713 | + | 2.12612i | −0.959898 | + | 0.0865823i | ||||
\(604\) | 20.5786i | 0.837331i | ||||||||
\(605\) | 26.2226 | − | 30.2652i | 1.06610 | − | 1.23046i | ||||
\(606\) | −0.0967141 | − | 2.14880i | −0.00392874 | − | 0.0872892i | ||||
\(607\) | − | 0.859294i | − | 0.0348777i | −0.999848 | − | 0.0174388i | \(-0.994449\pi\) | ||
0.999848 | − | 0.0174388i | \(-0.00555124\pi\) | |||||||
\(608\) | − | 27.4584i | − | 1.11359i | ||||||
\(609\) | 2.04229 | − | 0.0919200i | 0.0827576 | − | 0.00372479i | ||||
\(610\) | 0.320152 | 0.0129626 | ||||||||
\(611\) | −11.4369 | −0.462687 | ||||||||
\(612\) | 29.5988 | − | 2.66980i | 1.19646 | − | 0.107920i | ||||
\(613\) | − | 4.87388i | − | 0.196854i | −0.995144 | − | 0.0984271i | \(-0.968619\pi\) | ||
0.995144 | − | 0.0984271i | \(-0.0313811\pi\) | |||||||
\(614\) | − | 26.6404i | − | 1.07512i | ||||||
\(615\) | 59.0104 | − | 2.65596i | 2.37953 | − | 0.107099i | ||||
\(616\) | −6.24290 | + | 16.7390i | −0.251533 | + | 0.674433i | ||||
\(617\) | − | 26.7029i | − | 1.07502i | −0.843258 | − | 0.537510i | \(-0.819365\pi\) | ||
0.843258 | − | 0.537510i | \(-0.180635\pi\) | |||||||
\(618\) | −0.556022 | − | 12.3538i | −0.0223665 | − | 0.496941i | ||||
\(619\) | −11.5826 | −0.465546 | −0.232773 | − | 0.972531i | \(-0.574780\pi\) | ||||
−0.232773 | + | 0.972531i | \(0.574780\pi\) | |||||||
\(620\) | − | 18.3350i | − | 0.736350i | ||||||
\(621\) | 7.24898 | − | 0.984114i | 0.290891 | − | 0.0394911i | ||||
\(622\) | − | 6.50045i | − | 0.260644i | ||||||
\(623\) | −26.4092 | −1.05806 | ||||||||
\(624\) | −0.688444 | + | 0.0309857i | −0.0275598 | + | 0.00124042i | ||||
\(625\) | 1.84665 | 0.0738659 | ||||||||
\(626\) | −26.2348 | −1.04855 | ||||||||
\(627\) | −25.9061 | − | 8.35558i | −1.03459 | − | 0.333690i | ||||
\(628\) | −7.63727 | −0.304760 | ||||||||
\(629\) | 37.3974 | 1.49113 | ||||||||
\(630\) | −17.6302 | + | 1.59023i | −0.702404 | + | 0.0633565i | ||||
\(631\) | 11.0546 | 0.440078 | 0.220039 | − | 0.975491i | \(-0.429381\pi\) | ||||
0.220039 | + | 0.975491i | \(0.429381\pi\) | |||||||
\(632\) | − | 1.99440i | − | 0.0793332i | ||||||
\(633\) | 32.5808 | − | 1.46641i | 1.29497 | − | 0.0582845i | ||||
\(634\) | − | 25.4790i | − | 1.01190i | ||||||
\(635\) | −50.4621 | −2.00253 | ||||||||
\(636\) | 17.2444 | − | 0.776141i | 0.683784 | − | 0.0307760i | ||||
\(637\) | − | 3.11758i | − | 0.123523i | ||||||
\(638\) | −1.53126 | − | 0.571090i | −0.0606230 | − | 0.0226097i | ||||
\(639\) | −1.35759 | − | 15.0510i | −0.0537054 | − | 0.595407i | ||||
\(640\) | − | 30.2998i | − | 1.19771i | ||||||
\(641\) | 17.4484i | 0.689170i | 0.938755 | + | 0.344585i | \(0.111980\pi\) | ||||
−0.938755 | + | 0.344585i | \(0.888020\pi\) | |||||||
\(642\) | 0.772152 | + | 17.1557i | 0.0304744 | + | 0.677083i | ||||
\(643\) | −42.6521 | −1.68203 | −0.841017 | − | 0.541009i | \(-0.818043\pi\) | ||||
−0.841017 | + | 0.541009i | \(0.818043\pi\) | |||||||
\(644\) | 3.67097 | 0.144657 | ||||||||
\(645\) | −1.57351 | − | 34.9604i | −0.0619569 | − | 1.37656i | ||||
\(646\) | − | 29.1788i | − | 1.14802i | ||||||
\(647\) | − | 21.1546i | − | 0.831675i | −0.909439 | − | 0.415837i | \(-0.863489\pi\) | ||
0.909439 | − | 0.415837i | \(-0.136511\pi\) | |||||||
\(648\) | 24.2068 | − | 4.40270i | 0.950932 | − | 0.172954i | ||||
\(649\) | 1.69752 | − | 4.55154i | 0.0666336 | − | 0.178664i | ||||
\(650\) | − | 6.78887i | − | 0.266282i | ||||||
\(651\) | 12.9756 | − | 0.584010i | 0.508554 | − | 0.0228892i | ||||
\(652\) | 21.5578 | 0.844269 | ||||||||
\(653\) | 24.6435i | 0.964375i | 0.876068 | + | 0.482188i | \(0.160158\pi\) | ||||
−0.876068 | + | 0.482188i | \(0.839842\pi\) | |||||||
\(654\) | 12.8153 | − | 0.576796i | 0.501118 | − | 0.0225545i | ||||
\(655\) | 52.6352i | 2.05663i | ||||||||
\(656\) | −3.72734 | −0.145528 | ||||||||
\(657\) | −0.214813 | − | 2.38154i | −0.00838066 | − | 0.0929126i | ||||
\(658\) | 18.5373 | 0.722660 | ||||||||
\(659\) | −0.227092 | −0.00884623 | −0.00442312 | − | 0.999990i | \(-0.501408\pi\) | ||||
−0.00442312 | + | 0.999990i | \(0.501408\pi\) | |||||||
\(660\) | −26.3386 | − | 8.49507i | −1.02523 | − | 0.330670i | ||||
\(661\) | 20.9415 | 0.814529 | 0.407264 | − | 0.913310i | \(-0.366483\pi\) | ||||
0.407264 | + | 0.913310i | \(0.366483\pi\) | |||||||
\(662\) | −16.1252 | −0.626724 | ||||||||
\(663\) | −12.9528 | + | 0.582986i | −0.503047 | + | 0.0226413i | ||||
\(664\) | −4.01683 | −0.155883 | ||||||||
\(665\) | − | 33.9894i | − | 1.31805i | ||||||
\(666\) | 12.2785 | − | 1.10752i | 0.475784 | − | 0.0429155i | ||||
\(667\) | 0.843344i | 0.0326544i | ||||||||
\(668\) | 6.62844 | 0.256462 | ||||||||
\(669\) | 1.18321 | + | 26.2887i | 0.0457456 | + | 1.01638i | ||||
\(670\) | 23.6247i | 0.912702i | ||||||||
\(671\) | −0.123904 | + | 0.332222i | −0.00478327 | + | 0.0128253i | ||||
\(672\) | 19.7566 | − | 0.889214i | 0.762129 | − | 0.0343022i | ||||
\(673\) | 5.26906i | 0.203107i | 0.994830 | + | 0.101554i | \(0.0323813\pi\) | ||||
−0.994830 | + | 0.101554i | \(0.967619\pi\) | |||||||
\(674\) | − | 0.929906i | − | 0.0358186i | ||||||
\(675\) | −5.76892 | − | 42.4939i | −0.222046 | − | 1.63559i | ||||
\(676\) | 1.32333 | 0.0508974 | ||||||||
\(677\) | −20.5547 | −0.789979 | −0.394990 | − | 0.918686i | \(-0.629252\pi\) | ||||
−0.394990 | + | 0.918686i | \(0.629252\pi\) | |||||||
\(678\) | −18.6978 | + | 0.841555i | −0.718083 | + | 0.0323197i | ||||
\(679\) | 4.13904i | 0.158842i | ||||||||
\(680\) | − | 74.5010i | − | 2.85698i | ||||||
\(681\) | −1.26900 | − | 28.1947i | −0.0486281 | − | 1.08042i | ||||
\(682\) | −9.72878 | − | 3.62840i | −0.372534 | − | 0.138939i | ||||
\(683\) | 14.8519i | 0.568293i | 0.958781 | + | 0.284146i | \(0.0917102\pi\) | ||||
−0.958781 | + | 0.284146i | \(0.908290\pi\) | |||||||
\(684\) | 1.68993 | + | 18.7355i | 0.0646163 | + | 0.716371i | ||||
\(685\) | −33.3714 | −1.27506 | ||||||||
\(686\) | 16.3989i | 0.626114i | ||||||||
\(687\) | −1.44778 | − | 32.1670i | −0.0552363 | − | 1.22725i | ||||
\(688\) | 2.20824i | 0.0841884i | ||||||||
\(689\) | −7.53108 | −0.286911 | ||||||||
\(690\) | −0.328336 | − | 7.29501i | −0.0124996 | − | 0.277716i | ||||
\(691\) | −17.8137 | −0.677664 | −0.338832 | − | 0.940847i | \(-0.610032\pi\) | ||||
−0.338832 | + | 0.940847i | \(0.610032\pi\) | |||||||
\(692\) | 34.1375 | 1.29771 | ||||||||
\(693\) | 5.17299 | − | 18.9103i | 0.196506 | − | 0.718344i | ||||
\(694\) | −4.26184 | −0.161777 | ||||||||
\(695\) | 23.5102 | 0.891792 | ||||||||
\(696\) | 0.127532 | + | 2.83352i | 0.00483410 | + | 0.107404i | ||||
\(697\) | −70.1286 | −2.65631 | ||||||||
\(698\) | 5.45127i | 0.206334i | ||||||||
\(699\) | 0.496893 | + | 11.0400i | 0.0187942 | + | 0.417572i | ||||
\(700\) | − | 21.5194i | − | 0.813358i | ||||||
\(701\) | 5.82035 | 0.219832 | 0.109916 | − | 0.993941i | \(-0.464942\pi\) | ||||
0.109916 | + | 0.993941i | \(0.464942\pi\) | |||||||
\(702\) | −4.23549 | + | 0.575006i | −0.159858 | + | 0.0217022i | ||||
\(703\) | 23.6719i | 0.892803i | ||||||||
\(704\) | −12.3402 | − | 4.60235i | −0.465089 | − | 0.173458i | ||||
\(705\) | 3.24249 | + | 72.0420i | 0.122119 | + | 2.71326i | ||||
\(706\) | − | 9.07767i | − | 0.341643i | ||||||
\(707\) | 2.97468i | 0.111874i | ||||||||
\(708\) | −3.35377 | + | 0.150947i | −0.126042 | + | 0.00567295i | ||||
\(709\) | −2.80679 | −0.105411 | −0.0527056 | − | 0.998610i | \(-0.516784\pi\) | ||||
−0.0527056 | + | 0.998610i | \(0.516784\pi\) | |||||||
\(710\) | −15.0851 | −0.566132 | ||||||||
\(711\) | 0.196615 | + | 2.17978i | 0.00737365 | + | 0.0817483i | ||||
\(712\) | − | 36.6409i | − | 1.37318i | ||||||
\(713\) | 5.35815i | 0.200664i | ||||||||
\(714\) | 20.9944 | − | 0.944925i | 0.785697 | − | 0.0353629i | ||||
\(715\) | 11.3129 | + | 4.21920i | 0.423077 | + | 0.157789i | ||||
\(716\) | − | 22.8429i | − | 0.853678i | ||||||
\(717\) | 1.92130 | + | 42.6876i | 0.0717522 | + | 1.59420i | ||||
\(718\) | 11.0331 | 0.411750 | ||||||||
\(719\) | − | 21.1094i | − | 0.787246i | −0.919272 | − | 0.393623i | \(-0.871221\pi\) | ||
0.919272 | − | 0.393623i | \(-0.128779\pi\) | |||||||
\(720\) | 0.390364 | + | 4.32779i | 0.0145480 | + | 0.161287i | ||||
\(721\) | 17.1018i | 0.636904i | ||||||||
\(722\) | 2.84027 | 0.105704 | ||||||||
\(723\) | −20.7494 | + | 0.933894i | −0.771677 | + | 0.0347319i | ||||
\(724\) | −18.6437 | −0.692886 | ||||||||
\(725\) | 4.94373 | 0.183605 | ||||||||
\(726\) | −9.71988 | + | 12.2945i | −0.360738 | + | 0.456291i | ||||
\(727\) | 34.0496 | 1.26283 | 0.631414 | − | 0.775446i | \(-0.282475\pi\) | ||||
0.631414 | + | 0.775446i | \(0.282475\pi\) | |||||||
\(728\) | −5.38658 | −0.199640 | ||||||||
\(729\) | −26.0228 | + | 7.19831i | −0.963806 | + | 0.266604i | ||||
\(730\) | −2.38693 | −0.0883442 | ||||||||
\(731\) | 41.5473i | 1.53668i | ||||||||
\(732\) | 0.244795 | − | 0.0110178i | 0.00904789 | − | 0.000407231i | ||||
\(733\) | 14.2555i | 0.526538i | 0.964722 | + | 0.263269i | \(0.0848008\pi\) | ||||
−0.964722 | + | 0.263269i | \(0.915199\pi\) | |||||||
\(734\) | −21.9420 | −0.809892 | ||||||||
\(735\) | −19.6379 | + | 0.883869i | −0.724355 | + | 0.0326020i | ||||
\(736\) | 8.15832i | 0.300720i | ||||||||
\(737\) | −24.5154 | − | 9.14314i | −0.903035 | − | 0.336792i | ||||
\(738\) | −23.0250 | + | 2.07684i | −0.847563 | + | 0.0764497i | ||||
\(739\) | 35.2355i | 1.29616i | 0.761573 | + | 0.648079i | \(0.224427\pi\) | ||||
−0.761573 | + | 0.648079i | \(0.775573\pi\) | |||||||
\(740\) | 24.0671i | 0.884724i | ||||||||
\(741\) | −0.369020 | − | 8.19892i | −0.0135563 | − | 0.301195i | ||||
\(742\) | 12.2066 | 0.448120 | ||||||||
\(743\) | 46.2519 | 1.69682 | 0.848410 | − | 0.529340i | \(-0.177561\pi\) | ||||
0.848410 | + | 0.529340i | \(0.177561\pi\) | |||||||
\(744\) | 0.810271 | + | 18.0027i | 0.0297060 | + | 0.660010i | ||||
\(745\) | − | 46.5291i | − | 1.70469i | ||||||
\(746\) | 21.0315i | 0.770017i | ||||||||
\(747\) | 4.39019 | − | 0.395993i | 0.160629 | − | 0.0144886i | ||||
\(748\) | 30.7843 | + | 11.4812i | 1.12559 | + | 0.419793i | ||||
\(749\) | − | 23.7494i | − | 0.867783i | ||||||
\(750\) | −16.8556 | + | 0.758645i | −0.615481 | + | 0.0277018i | ||||
\(751\) | 17.0401 | 0.621802 | 0.310901 | − | 0.950442i | \(-0.399369\pi\) | ||||
0.310901 | + | 0.950442i | \(0.399369\pi\) | |||||||
\(752\) | − | 4.55046i | − | 0.165938i | ||||||
\(753\) | 17.6415 | − | 0.794016i | 0.642893 | − | 0.0289356i | ||||
\(754\) | − | 0.492756i | − | 0.0179451i | ||||||
\(755\) | −56.6113 | −2.06030 | ||||||||
\(756\) | −13.4257 | + | 1.82266i | −0.488288 | + | 0.0662894i | ||||
\(757\) | 23.0404 | 0.837416 | 0.418708 | − | 0.908121i | \(-0.362483\pi\) | ||||
0.418708 | + | 0.908121i | \(0.362483\pi\) | |||||||
\(758\) | 9.99594 | 0.363069 | ||||||||
\(759\) | 7.69711 | + | 2.48257i | 0.279387 | + | 0.0901117i | ||||
\(760\) | 47.1578 | 1.71059 | ||||||||
\(761\) | −5.48710 | −0.198907 | −0.0994536 | − | 0.995042i | \(-0.531709\pi\) | ||||
−0.0994536 | + | 0.995042i | \(0.531709\pi\) | |||||||
\(762\) | 19.7296 | − | 0.887995i | 0.714726 | − | 0.0321687i | ||||
\(763\) | −17.7407 | −0.642258 | ||||||||
\(764\) | 13.3610i | 0.483386i | ||||||||
\(765\) | 7.34457 | + | 81.4258i | 0.265543 | + | 2.94396i | ||||
\(766\) | − | 4.06408i | − | 0.146841i | ||||||
\(767\) | 1.46468 | 0.0528865 | ||||||||
\(768\) | 1.15171 | + | 25.5888i | 0.0415587 | + | 0.923356i | ||||
\(769\) | − | 26.4840i | − | 0.955036i | −0.878622 | − | 0.477518i | \(-0.841537\pi\) | ||
0.878622 | − | 0.477518i | \(-0.158463\pi\) | |||||||
\(770\) | −18.3363 | − | 6.83863i | −0.660794 | − | 0.246447i | ||||
\(771\) | −28.8314 | + | 1.29765i | −1.03834 | + | 0.0467338i | ||||
\(772\) | 30.8759i | 1.11125i | ||||||||
\(773\) | − | 2.30808i | − | 0.0830159i | −0.999138 | − | 0.0415080i | \(-0.986784\pi\) | ||
0.999138 | − | 0.0415080i | \(-0.0132162\pi\) | |||||||
\(774\) | 1.23042 | + | 13.6411i | 0.0442264 | + | 0.490318i | ||||
\(775\) | 31.4098 | 1.12827 | ||||||||
\(776\) | −5.74261 | −0.206148 | ||||||||
\(777\) | −17.0322 | + | 0.766591i | −0.611026 | + | 0.0275013i | ||||
\(778\) | 6.00432i | 0.215265i | ||||||||
\(779\) | − | 44.3901i | − | 1.59044i | ||||||
\(780\) | −0.375180 | − | 8.33579i | −0.0134336 | − | 0.298469i | ||||
\(781\) | 5.83816 | − | 15.6538i | 0.208906 | − | 0.560136i | ||||
\(782\) | 8.66946i | 0.310019i | ||||||||
\(783\) | −0.418725 | − | 3.08433i | −0.0149640 | − | 0.110225i | ||||
\(784\) | 1.24041 | 0.0443003 | ||||||||
\(785\) | − | 21.0100i | − | 0.749878i | ||||||
\(786\) | −0.926235 | − | 20.5792i | −0.0330377 | − | 0.734035i | ||||
\(787\) | − | 23.3910i | − | 0.833799i | −0.908953 | − | 0.416899i | \(-0.863117\pi\) | ||
0.908953 | − | 0.416899i | \(-0.136883\pi\) | |||||||
\(788\) | 17.8956 | 0.637505 | ||||||||
\(789\) | −0.742059 | − | 16.4871i | −0.0264180 | − | 0.586958i | ||||
\(790\) | 2.18472 | 0.0777289 | ||||||||
\(791\) | 25.8840 | 0.920331 | ||||||||
\(792\) | 26.2367 | + | 7.17714i | 0.932280 | + | 0.255028i | ||||
\(793\) | −0.106909 | −0.00379644 | ||||||||
\(794\) | −18.9454 | −0.672347 | ||||||||
\(795\) | 2.13515 | + | 47.4389i | 0.0757259 | + | 1.68249i | ||||
\(796\) | 19.8383 | 0.703150 | ||||||||
\(797\) | 38.9861i | 1.38096i | 0.723352 | + | 0.690479i | \(0.242600\pi\) | ||||
−0.723352 | + | 0.690479i | \(0.757400\pi\) | |||||||
\(798\) | 0.598120 | + | 13.2891i | 0.0211732 | + | 0.470429i | ||||
\(799\) | − | 85.6154i | − | 3.02886i | ||||||
\(800\) | 47.8245 | 1.69085 | ||||||||
\(801\) | 3.61219 | + | 40.0467i | 0.127630 | + | 1.41498i | ||||
\(802\) | 8.46387i | 0.298870i | ||||||||
\(803\) | 0.923781 | − | 2.47692i | 0.0325995 | − | 0.0874086i | ||||
\(804\) | 0.813028 | + | 18.0639i | 0.0286733 | + | 0.637066i | ||||
\(805\) | 10.0988i | 0.355935i | ||||||||
\(806\) | − | 3.13070i | − | 0.110274i | ||||||
\(807\) | −23.6539 | + | 1.06462i | −0.832656 | + | 0.0374765i | ||||
\(808\) | −4.12714 | −0.145192 | ||||||||
\(809\) | −35.5896 | −1.25127 | −0.625633 | − | 0.780118i | \(-0.715159\pi\) | ||||
−0.625633 | + | 0.780118i | \(0.715159\pi\) | |||||||
\(810\) | 4.82282 | + | 26.5167i | 0.169457 | + | 0.931702i | ||||
\(811\) | − | 35.0719i | − | 1.23154i | −0.787926 | − | 0.615770i | \(-0.788845\pi\) | ||
0.787926 | − | 0.615770i | \(-0.211155\pi\) | |||||||
\(812\) | − | 1.56194i | − | 0.0548134i | ||||||
\(813\) | 9.32485 | − | 0.419696i | 0.327037 | − | 0.0147194i | ||||
\(814\) | 12.7703 | + | 4.76276i | 0.447599 | + | 0.166935i | ||||
\(815\) | 59.3051i | 2.07737i | ||||||||
\(816\) | −0.231956 | − | 5.15362i | −0.00812009 | − | 0.180413i | ||||
\(817\) | −26.2987 | −0.920075 | ||||||||
\(818\) | 6.45058i | 0.225539i | ||||||||
\(819\) | 5.88726 | − | 0.531027i | 0.205717 | − | 0.0185556i | ||||
\(820\) | − | 45.1312i | − | 1.57605i | ||||||
\(821\) | −29.2603 | −1.02119 | −0.510596 | − | 0.859820i | \(-0.670575\pi\) | ||||
−0.510596 | + | 0.859820i | \(0.670575\pi\) | |||||||
\(822\) | 13.0475 | − | 0.587246i | 0.455084 | − | 0.0204826i | ||||
\(823\) | 11.3343 | 0.395087 | 0.197544 | − | 0.980294i | \(-0.436704\pi\) | ||||
0.197544 | + | 0.980294i | \(0.436704\pi\) | |||||||
\(824\) | −23.7275 | −0.826586 | ||||||||
\(825\) | 14.5530 | − | 45.1208i | 0.506669 | − | 1.57091i | ||||
\(826\) | −2.37400 | −0.0826021 | ||||||||
\(827\) | 44.0575 | 1.53203 | 0.766015 | − | 0.642823i | \(-0.222237\pi\) | ||||
0.766015 | + | 0.642823i | \(0.222237\pi\) | |||||||
\(828\) | −0.502106 | − | 5.56662i | −0.0174494 | − | 0.193453i | ||||
\(829\) | 0.755396 | 0.0262360 | 0.0131180 | − | 0.999914i | \(-0.495824\pi\) | ||||
0.0131180 | + | 0.999914i | \(0.495824\pi\) | |||||||
\(830\) | − | 4.40013i | − | 0.152731i | ||||||
\(831\) | 34.0254 | − | 1.53143i | 1.18033 | − | 0.0531246i | ||||
\(832\) | − | 3.97106i | − | 0.137672i | ||||||
\(833\) | 23.3379 | 0.808609 | ||||||||
\(834\) | −9.19196 | + | 0.413715i | −0.318292 | + | 0.0143258i | ||||
\(835\) | 18.2347i | 0.631038i | ||||||||
\(836\) | −7.26738 | + | 19.4859i | −0.251347 | + | 0.673934i | ||||
\(837\) | −2.66035 | − | 19.5962i | −0.0919552 | − | 0.677342i | ||||
\(838\) | 21.4623i | 0.741404i | ||||||||
\(839\) | − | 27.5172i | − | 0.949999i | −0.879986 | − | 0.474999i | \(-0.842448\pi\) | ||
0.879986 | − | 0.474999i | \(-0.157552\pi\) | |||||||
\(840\) | 1.52716 | + | 33.9305i | 0.0526919 | + | 1.17071i | ||||
\(841\) | −28.6412 | −0.987627 | ||||||||
\(842\) | −28.3963 | −0.978603 | ||||||||
\(843\) | −1.24304 | − | 27.6181i | −0.0428127 | − | 0.951217i | ||||
\(844\) | − | 24.9178i | − | 0.857706i | ||||||
\(845\) | 3.64046i | 0.125236i | ||||||||
\(846\) | −2.53548 | − | 28.1098i | −0.0871718 | − | 0.966433i | ||||
\(847\) | 14.1929 | − | 16.3809i | 0.487674 | − | 0.562856i | ||||
\(848\) | − | 2.99643i | − | 0.102898i | ||||||
\(849\) | −24.0385 | + | 1.08193i | −0.824999 | + | 0.0371318i | ||||
\(850\) | 50.8208 | 1.74314 | ||||||||
\(851\) | − | 7.03329i | − | 0.241098i | ||||||
\(852\) | −11.5344 | + | 0.519142i | −0.395160 | + | 0.0177855i | ||||
\(853\) | 43.1098i | 1.47605i | 0.674772 | + | 0.738027i | \(0.264242\pi\) | ||||
−0.674772 | + | 0.738027i | \(0.735758\pi\) | |||||||
\(854\) | 0.173281 | 0.00592956 | ||||||||
\(855\) | −51.5411 | + | 4.64898i | −1.76267 | + | 0.158992i | ||||
\(856\) | 32.9505 | 1.12623 | ||||||||
\(857\) | 8.76306 | 0.299340 | 0.149670 | − | 0.988736i | \(-0.452179\pi\) | ||||
0.149670 | + | 0.988736i | \(0.452179\pi\) | |||||||
\(858\) | −4.49733 | − | 1.45054i | −0.153536 | − | 0.0495205i | ||||
\(859\) | −3.28797 | −0.112184 | −0.0560921 | − | 0.998426i | \(-0.517864\pi\) | ||||
−0.0560921 | + | 0.998426i | \(0.517864\pi\) | |||||||
\(860\) | −26.7377 | −0.911749 | ||||||||
\(861\) | 31.9392 | − | 1.43753i | 1.08848 | − | 0.0489909i | ||||
\(862\) | −16.9044 | −0.575765 | ||||||||
\(863\) | − | 0.870602i | − | 0.0296356i | −0.999890 | − | 0.0148178i | \(-0.995283\pi\) | ||
0.999890 | − | 0.0148178i | \(-0.00471683\pi\) | |||||||
\(864\) | −4.05065 | − | 29.8371i | −0.137806 | − | 1.01508i | ||||
\(865\) | 93.9116i | 3.19309i | ||||||||
\(866\) | 31.0896 | 1.05647 | ||||||||
\(867\) | −3.04025 | − | 67.5486i | −0.103252 | − | 2.29407i | ||||
\(868\) | − | 9.92374i | − | 0.336834i | ||||||
\(869\) | −0.845523 | + | 2.26709i | −0.0286824 | + | 0.0769057i | ||||
\(870\) | −3.10391 | + | 0.139702i | −0.105232 | + | 0.00473634i | ||||
\(871\) | − | 7.88900i | − | 0.267309i | ||||||
\(872\) | − | 24.6140i | − | 0.833534i | ||||||
\(873\) | 6.27639 | − | 0.566126i | 0.212423 | − | 0.0191605i | ||||
\(874\) | −5.48761 | −0.185621 | ||||||||
\(875\) | 23.3339 | 0.788831 | ||||||||
\(876\) | −1.82510 | + | 0.0821446i | −0.0616643 | + | 0.00277541i | ||||
\(877\) | − | 22.6155i | − | 0.763671i | −0.924230 | − | 0.381835i | \(-0.875292\pi\) | ||
0.924230 | − | 0.381835i | \(-0.124708\pi\) | |||||||
\(878\) | − | 8.43663i | − | 0.284722i | ||||||
\(879\) | −2.07854 | − | 46.1811i | −0.0701073 | − | 1.55765i | ||||
\(880\) | −1.67872 | + | 4.50112i | −0.0565895 | + | 0.151733i | ||||
\(881\) | − | 12.7245i | − | 0.428699i | −0.976757 | − | 0.214349i | \(-0.931237\pi\) | ||
0.976757 | − | 0.214349i | \(-0.0687631\pi\) | |||||||
\(882\) | 7.66243 | − | 0.691147i | 0.258007 | − | 0.0232721i | ||||
\(883\) | −22.7173 | −0.764499 | −0.382250 | − | 0.924059i | \(-0.624851\pi\) | ||||
−0.382250 | + | 0.924059i | \(0.624851\pi\) | |||||||
\(884\) | 9.90634i | 0.333186i | ||||||||
\(885\) | −0.415254 | − | 9.22614i | −0.0139586 | − | 0.310133i | ||||
\(886\) | 22.4207i | 0.753238i | ||||||||
\(887\) | 4.76079 | 0.159852 | 0.0799259 | − | 0.996801i | \(-0.474532\pi\) | ||||
0.0799259 | + | 0.996801i | \(0.474532\pi\) | |||||||
\(888\) | −1.06359 | − | 23.6309i | −0.0356917 | − | 0.793001i | ||||
\(889\) | −27.3124 | −0.916029 | ||||||||
\(890\) | 40.1373 | 1.34541 | ||||||||
\(891\) | −29.3829 | − | 5.25775i | −0.984365 | − | 0.176141i | ||||
\(892\) | 20.1056 | 0.673185 | ||||||||
\(893\) | 54.1930 | 1.81350 | ||||||||
\(894\) | 0.818785 | + | 18.1918i | 0.0273843 | + | 0.608426i | ||||
\(895\) | 62.8403 | 2.10052 | ||||||||
\(896\) | − | 16.3997i | − | 0.547874i | ||||||
\(897\) | 0.109642 | + | 2.43603i | 0.00366082 | + | 0.0813365i | ||||
\(898\) | 9.28210i | 0.309748i | ||||||||
\(899\) | 2.27981 | 0.0760359 | ||||||||
\(900\) | −32.6318 | + | 2.94337i | −1.08773 | + | 0.0981123i | ||||
\(901\) | − | 56.3769i | − | 1.87819i | ||||||
\(902\) | −23.9472 | − | 8.93124i | −0.797355 | − | 0.297378i | ||||
\(903\) | −0.851657 | − | 18.9222i | −0.0283414 | − | 0.629691i | ||||
\(904\) | 35.9122i | 1.19442i | ||||||||
\(905\) | − | 51.2883i | − | 1.70488i | ||||||
\(906\) | 22.1338 | − | 0.996205i | 0.735345 | − | 0.0330967i | ||||
\(907\) | 35.9465 | 1.19358 | 0.596791 | − | 0.802397i | \(-0.296442\pi\) | ||||
0.596791 | + | 0.802397i | \(0.296442\pi\) | |||||||
\(908\) | −21.5633 | −0.715605 | ||||||||
\(909\) | 4.51076 | − | 0.406868i | 0.149613 | − | 0.0134950i | ||||
\(910\) | − | 5.90059i | − | 0.195603i | ||||||
\(911\) | 45.1251i | 1.49506i | 0.664228 | + | 0.747530i | \(0.268760\pi\) | ||||
−0.664228 | + | 0.747530i | \(0.731240\pi\) | |||||||
\(912\) | 3.26215 | − | 0.146824i | 0.108021 | − | 0.00486183i | ||||
\(913\) | 4.56602 | + | 1.70292i | 0.151113 | + | 0.0563585i | ||||
\(914\) | 26.4211i | 0.873931i | ||||||||
\(915\) | 0.0303098 | + | 0.673427i | 0.00100201 | + | 0.0222628i | ||||
\(916\) | −24.6013 | −0.812850 | ||||||||
\(917\) | 28.4886i | 0.940776i | ||||||||
\(918\) | −4.30443 | − | 31.7065i | −0.142068 | − | 1.04647i | ||||
\(919\) | − | 8.87113i | − | 0.292632i | −0.989238 | − | 0.146316i | \(-0.953258\pi\) | ||
0.989238 | − | 0.146316i | \(-0.0467416\pi\) | |||||||
\(920\) | −14.0113 | −0.461939 | ||||||||
\(921\) | 56.0368 | − | 2.52213i | 1.84648 | − | 0.0831069i | ||||
\(922\) | 15.7906 | 0.520037 | ||||||||
\(923\) | 5.03736 | 0.165807 | ||||||||
\(924\) | −14.2557 | − | 4.59793i | −0.468977 | − | 0.151261i | ||||
\(925\) | −41.2295 | −1.35562 | ||||||||
\(926\) | 4.77915 | 0.157052 | ||||||||
\(927\) | 25.9329 | − | 2.33914i | 0.851750 | − | 0.0768274i | ||||
\(928\) | 3.47124 | 0.113949 | ||||||||
\(929\) | − | 11.2355i | − | 0.368624i | −0.982868 | − | 0.184312i | \(-0.940994\pi\) | ||
0.982868 | − | 0.184312i | \(-0.0590057\pi\) | |||||||
\(930\) | −19.7206 | + | 0.887591i | −0.646664 | + | 0.0291053i | ||||
\(931\) | 14.7724i | 0.484147i | ||||||||
\(932\) | 8.44341 | 0.276573 | ||||||||
\(933\) | 13.6734 | − | 0.615419i | 0.447648 | − | 0.0201479i | ||||
\(934\) | − | 0.617489i | − | 0.0202049i | ||||||
\(935\) | −31.5845 | + | 84.6870i | −1.03292 | + | 2.76956i | ||||
\(936\) | 0.736761 | + | 8.16814i | 0.0240818 | + | 0.266984i | ||||
\(937\) | 26.9104i | 0.879125i | 0.898212 | + | 0.439562i | \(0.144866\pi\) | ||||
−0.898212 | + | 0.439562i | \(0.855134\pi\) | |||||||
\(938\) | 12.7868i | 0.417503i | ||||||||
\(939\) | −2.48373 | − | 55.1837i | −0.0810534 | − | 1.80085i | ||||
\(940\) | 55.0977 | 1.79709 | ||||||||
\(941\) | −24.2101 | −0.789226 | −0.394613 | − | 0.918847i | \(-0.629121\pi\) | ||||
−0.394613 | + | 0.918847i | \(0.629121\pi\) | |||||||
\(942\) | 0.369718 | + | 8.21443i | 0.0120461 | + | 0.267641i | ||||
\(943\) | 13.1890i | 0.429493i | ||||||||
\(944\) | 0.582760i | 0.0189672i | ||||||||
\(945\) | −5.01410 | − | 36.9338i | −0.163109 | − | 1.20146i | ||||
\(946\) | −5.29127 | + | 14.1874i | −0.172034 | + | 0.461272i | ||||
\(947\) | − | 55.3393i | − | 1.79829i | −0.437654 | − | 0.899144i | \(-0.644190\pi\) | ||
0.437654 | − | 0.899144i | \(-0.355810\pi\) | |||||||
\(948\) | 1.67048 | − | 0.0751857i | 0.0542548 | − | 0.00244192i | ||||
\(949\) | 0.797068 | 0.0258739 | ||||||||
\(950\) | 32.1687i | 1.04369i | ||||||||
\(951\) | 53.5940 | − | 2.41218i | 1.73791 | − | 0.0782203i | ||||
\(952\) | − | 40.3234i | − | 1.30689i | ||||||
\(953\) | −36.0891 | −1.16904 | −0.584520 | − | 0.811379i | \(-0.698717\pi\) | ||||
−0.584520 | + | 0.811379i | \(0.698717\pi\) | |||||||
\(954\) | −1.66959 | − | 18.5100i | −0.0540550 | − | 0.599283i | ||||
\(955\) | −36.7560 | −1.18940 | ||||||||
\(956\) | 32.6475 | 1.05590 | ||||||||
\(957\) | 1.05630 | − | 3.27500i | 0.0341452 | − | 0.105866i | ||||
\(958\) | −1.01052 | −0.0326486 | ||||||||
\(959\) | −18.0622 | −0.583258 | ||||||||
\(960\) | −25.0140 | + | 1.12584i | −0.807325 | + | 0.0363364i | ||||
\(961\) | −16.5153 | −0.532752 | ||||||||
\(962\) | 4.10947i | 0.132494i | ||||||||
\(963\) | −36.0133 | + | 3.24838i | −1.16051 | + | 0.104677i | ||||
\(964\) | 15.8691i | 0.511109i | ||||||||
\(965\) | −84.9389 | −2.73428 | ||||||||
\(966\) | −0.177711 | − | 3.94840i | −0.00571775 | − | 0.127038i | ||||
\(967\) | 29.7325i | 0.956131i | 0.878324 | + | 0.478066i | \(0.158662\pi\) | ||||
−0.878324 | + | 0.478066i | \(0.841338\pi\) | |||||||
\(968\) | 22.7273 | + | 19.6916i | 0.730484 | + | 0.632912i | ||||
\(969\) | 61.3763 | − | 2.76244i | 1.97169 | − | 0.0887425i | ||||
\(970\) | − | 6.29060i | − | 0.201979i | ||||||
\(971\) | − | 9.28897i | − | 0.298097i | −0.988830 | − | 0.149049i | \(-0.952379\pi\) | ||
0.988830 | − | 0.149049i | \(-0.0476211\pi\) | |||||||
\(972\) | 4.60019 | + | 20.1093i | 0.147551 | + | 0.645005i | ||||
\(973\) | 12.7248 | 0.407938 | ||||||||
\(974\) | −6.43774 | −0.206279 | ||||||||
\(975\) | 14.2801 | − | 0.642724i | 0.457329 | − | 0.0205836i | ||||
\(976\) | − | 0.0425363i | − | 0.00136156i | ||||||
\(977\) | 15.8794i | 0.508028i | 0.967201 | + | 0.254014i | \(0.0817510\pi\) | ||||
−0.967201 | + | 0.254014i | \(0.918249\pi\) | |||||||
\(978\) | −1.04361 | − | 23.1870i | −0.0333709 | − | 0.741438i | ||||
\(979\) | −15.5338 | + | 41.6506i | −0.496463 | + | 1.33116i | ||||
\(980\) | 15.0191i | 0.479766i | ||||||||
\(981\) | 2.42653 | + | 26.9018i | 0.0774732 | + | 0.858910i | ||||
\(982\) | −13.5193 | −0.431419 | ||||||||
\(983\) | 23.8077i | 0.759346i | 0.925121 | + | 0.379673i | \(0.123964\pi\) | ||||
−0.925121 | + | 0.379673i | \(0.876036\pi\) | |||||||
\(984\) | 1.99447 | + | 44.3132i | 0.0635813 | + | 1.41265i | ||||
\(985\) | 49.2305i | 1.56861i | ||||||||
\(986\) | 3.68872 | 0.117473 | ||||||||
\(987\) | 1.75499 | + | 38.9925i | 0.0558618 | + | 1.24114i | ||||
\(988\) | −6.27053 | −0.199492 | ||||||||
\(989\) | 7.81375 | 0.248463 | ||||||||
\(990\) | −7.86202 | + | 28.7403i | −0.249871 | + | 0.913427i | ||||
\(991\) | −12.1861 | −0.387103 | −0.193551 | − | 0.981090i | \(-0.562001\pi\) | ||||
−0.193551 | + | 0.981090i | \(0.562001\pi\) | |||||||
\(992\) | 22.0544 | 0.700227 | ||||||||
\(993\) | −1.52663 | − | 33.9187i | −0.0484460 | − | 1.07638i | ||||
\(994\) | −8.16473 | −0.258969 | ||||||||
\(995\) | 54.5748i | 1.73014i | ||||||||
\(996\) | −0.151428 | − | 3.36444i | −0.00479817 | − | 0.106606i | ||||
\(997\) | − | 18.0002i | − | 0.570072i | −0.958517 | − | 0.285036i | \(-0.907994\pi\) | ||
0.958517 | − | 0.285036i | \(-0.0920055\pi\) | |||||||
\(998\) | −12.6431 | −0.400210 | ||||||||
\(999\) | 3.49207 | + | 25.7225i | 0.110484 | + | 0.813825i |
(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 | 429.2.f.a.131.17 | ✓ | 48 | |
3.2 | odd | 2 | inner | 429.2.f.a.131.32 | yes | 48 | |
11.10 | odd | 2 | inner | 429.2.f.a.131.31 | yes | 48 | |
33.32 | even | 2 | inner | 429.2.f.a.131.18 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.f.a.131.17 | ✓ | 48 | 1.1 | even | 1 | trivial | |
429.2.f.a.131.18 | yes | 48 | 33.32 | even | 2 | inner | |
429.2.f.a.131.31 | yes | 48 | 11.10 | odd | 2 | inner | |
429.2.f.a.131.32 | yes | 48 | 3.2 | odd | 2 | inner |