Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(29,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.p (of order \(14\), degree \(6\), 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: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 239.19 | ||
Character | \(\chi\) | \(=\) | 490.239 |
Dual form | 490.2.p.a.449.19 |
$q$-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 \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.781831 | + | 0.623490i | 0.552838 | + | 0.440874i | ||||
\(3\) | −0.318558 | + | 0.661493i | −0.183920 | + | 0.381913i | −0.972460 | − | 0.233070i | \(-0.925123\pi\) |
0.788540 | + | 0.614983i | \(0.210837\pi\) | |||||||
\(4\) | 0.222521 | + | 0.974928i | 0.111260 | + | 0.487464i | ||||
\(5\) | −1.92448 | − | 1.13859i | −0.860653 | − | 0.509192i | ||||
\(6\) | −0.661493 | + | 0.318558i | −0.270053 | + | 0.130051i | ||||
\(7\) | −2.42890 | − | 1.04901i | −0.918039 | − | 0.396490i | ||||
\(8\) | −0.433884 | + | 0.900969i | −0.153401 | + | 0.318541i | ||||
\(9\) | 1.53438 | + | 1.92405i | 0.511459 | + | 0.641349i | ||||
\(10\) | −0.794720 | − | 2.09008i | −0.251312 | − | 0.660940i | ||||
\(11\) | −3.47481 | + | 4.35727i | −1.04769 | + | 1.31377i | −0.0998611 | + | 0.995001i | \(0.531840\pi\) |
−0.947833 | + | 0.318766i | \(0.896732\pi\) | |||||||
\(12\) | −0.715794 | − | 0.163375i | −0.206632 | − | 0.0471624i | ||||
\(13\) | −2.13724 | − | 1.70439i | −0.592763 | − | 0.472713i | 0.280572 | − | 0.959833i | \(-0.409476\pi\) |
−0.873335 | + | 0.487120i | \(0.838047\pi\) | |||||||
\(14\) | −1.24494 | − | 2.33455i | −0.332725 | − | 0.623934i | ||||
\(15\) | 1.36623 | − | 0.910322i | 0.352758 | − | 0.235044i | ||||
\(16\) | −0.900969 | + | 0.433884i | −0.225242 | + | 0.108471i | ||||
\(17\) | −0.971162 | − | 0.221661i | −0.235541 | − | 0.0537608i | 0.103121 | − | 0.994669i | \(-0.467117\pi\) |
−0.338662 | + | 0.940908i | \(0.609974\pi\) | |||||||
\(18\) | 2.46095i | 0.580051i | ||||||||
\(19\) | −3.53291 | −0.810505 | −0.405253 | − | 0.914205i | \(-0.632816\pi\) | ||||
−0.405253 | + | 0.914205i | \(0.632816\pi\) | |||||||
\(20\) | 0.681805 | − | 2.12959i | 0.152456 | − | 0.476190i | ||||
\(21\) | 1.46766 | − | 1.27253i | 0.320270 | − | 0.277689i | ||||
\(22\) | −5.43343 | + | 1.24015i | −1.15841 | + | 0.264400i | ||||
\(23\) | −4.50253 | + | 1.02767i | −0.938842 | + | 0.214284i | −0.664449 | − | 0.747333i | \(-0.731334\pi\) |
−0.274392 | + | 0.961618i | \(0.588477\pi\) | |||||||
\(24\) | −0.457767 | − | 0.574022i | −0.0934413 | − | 0.117172i | ||||
\(25\) | 2.40723 | + | 4.38238i | 0.481447 | + | 0.876475i | ||||
\(26\) | −0.608290 | − | 2.66509i | −0.119295 | − | 0.522668i | ||||
\(27\) | −3.90891 | + | 0.892184i | −0.752270 | + | 0.171701i | ||||
\(28\) | 0.482230 | − | 2.60143i | 0.0911329 | − | 0.491625i | ||||
\(29\) | 0.0726888 | − | 0.318470i | 0.0134980 | − | 0.0591385i | −0.967730 | − | 0.251988i | \(-0.918916\pi\) |
0.981228 | + | 0.192849i | \(0.0617729\pi\) | |||||||
\(30\) | 1.63574 | + | 0.140110i | 0.298643 | + | 0.0255804i | ||||
\(31\) | 7.02091 | 1.26099 | 0.630496 | − | 0.776192i | \(-0.282851\pi\) | ||||
0.630496 | + | 0.776192i | \(0.282851\pi\) | |||||||
\(32\) | −0.974928 | − | 0.222521i | −0.172345 | − | 0.0393365i | ||||
\(33\) | −1.77538 | − | 3.68661i | −0.309053 | − | 0.641756i | ||||
\(34\) | −0.621081 | − | 0.778812i | −0.106515 | − | 0.133565i | ||||
\(35\) | 3.47998 | + | 4.78432i | 0.588224 | + | 0.808698i | ||||
\(36\) | −1.53438 | + | 1.92405i | −0.255729 | + | 0.320674i | ||||
\(37\) | 2.14296 | + | 0.489117i | 0.352300 | + | 0.0804103i | 0.395009 | − | 0.918677i | \(-0.370742\pi\) |
−0.0427084 | + | 0.999088i | \(0.513599\pi\) | |||||||
\(38\) | −2.76214 | − | 2.20273i | −0.448078 | − | 0.357331i | ||||
\(39\) | 1.80828 | − | 0.870820i | 0.289556 | − | 0.139443i | ||||
\(40\) | 1.86083 | − | 1.23988i | 0.294223 | − | 0.196042i | ||||
\(41\) | 2.19372 | + | 1.05644i | 0.342602 | + | 0.164989i | 0.597270 | − | 0.802040i | \(-0.296252\pi\) |
−0.254668 | + | 0.967029i | \(0.581966\pi\) | |||||||
\(42\) | 1.94087 | − | 0.0798325i | 0.299483 | − | 0.0123184i | ||||
\(43\) | −5.13991 | − | 10.6731i | −0.783829 | − | 1.62764i | −0.778493 | − | 0.627653i | \(-0.784016\pi\) |
−0.00533612 | − | 0.999986i | \(-0.501699\pi\) | |||||||
\(44\) | −5.02125 | − | 2.41810i | −0.756981 | − | 0.364543i | ||||
\(45\) | −0.762176 | − | 5.44981i | −0.113619 | − | 0.812409i | ||||
\(46\) | −4.16096 | − | 2.00381i | −0.613500 | − | 0.295446i | ||||
\(47\) | 6.06060 | + | 4.83317i | 0.884029 | + | 0.704990i | 0.956297 | − | 0.292396i | \(-0.0944524\pi\) |
−0.0722684 | + | 0.997385i | \(0.523024\pi\) | |||||||
\(48\) | − | 0.734202i | − | 0.105973i | ||||||
\(49\) | 4.79914 | + | 5.09590i | 0.685592 | + | 0.727986i | ||||
\(50\) | −0.850316 | + | 4.92717i | −0.120253 | + | 0.696806i | ||||
\(51\) | 0.455999 | − | 0.571805i | 0.0638526 | − | 0.0800687i | ||||
\(52\) | 1.18608 | − | 2.46292i | 0.164479 | − | 0.341545i | ||||
\(53\) | 3.19723 | − | 0.729746i | 0.439173 | − | 0.100238i | 0.00278321 | − | 0.999996i | \(-0.499114\pi\) |
0.436390 | + | 0.899758i | \(0.356257\pi\) | |||||||
\(54\) | −3.61238 | − | 1.73963i | −0.491582 | − | 0.236734i | ||||
\(55\) | 11.6483 | − | 4.42910i | 1.57066 | − | 0.597220i | ||||
\(56\) | 1.99899 | − | 1.73322i | 0.267126 | − | 0.231611i | ||||
\(57\) | 1.12544 | − | 2.33699i | 0.149068 | − | 0.309542i | ||||
\(58\) | 0.255393 | − | 0.203670i | 0.0335348 | − | 0.0267431i | ||||
\(59\) | −0.581337 | + | 0.279957i | −0.0756837 | + | 0.0364473i | −0.471343 | − | 0.881950i | \(-0.656230\pi\) |
0.395659 | + | 0.918397i | \(0.370516\pi\) | |||||||
\(60\) | 1.19151 | + | 1.12941i | 0.153824 | + | 0.145806i | ||||
\(61\) | −0.124372 | + | 0.544909i | −0.0159242 | + | 0.0697684i | −0.982266 | − | 0.187494i | \(-0.939963\pi\) |
0.966342 | + | 0.257263i | \(0.0828205\pi\) | |||||||
\(62\) | 5.48917 | + | 4.37747i | 0.697125 | + | 0.555939i | ||||
\(63\) | −1.70850 | − | 6.28290i | −0.215251 | − | 0.791571i | ||||
\(64\) | −0.623490 | − | 0.781831i | −0.0779362 | − | 0.0977289i | ||||
\(65\) | 2.17247 | + | 5.71350i | 0.269462 | + | 0.708672i | ||||
\(66\) | 0.910517 | − | 3.98923i | 0.112077 | − | 0.491041i | ||||
\(67\) | 11.4819i | 1.40274i | 0.712799 | + | 0.701368i | \(0.247427\pi\) | ||||
−0.712799 | + | 0.701368i | \(0.752573\pi\) | |||||||
\(68\) | − | 0.996137i | − | 0.120799i | ||||||
\(69\) | 0.754518 | − | 3.30576i | 0.0908334 | − | 0.397967i | ||||
\(70\) | −0.262220 | + | 5.91027i | −0.0313413 | + | 0.706412i | ||||
\(71\) | 2.88625 | + | 12.6455i | 0.342535 | + | 1.50074i | 0.793703 | + | 0.608305i | \(0.208150\pi\) |
−0.451168 | + | 0.892439i | \(0.648993\pi\) | |||||||
\(72\) | −2.39925 | + | 0.547612i | −0.282754 | + | 0.0645367i | ||||
\(73\) | −5.91202 | + | 4.71468i | −0.691950 | + | 0.551812i | −0.905095 | − | 0.425209i | \(-0.860201\pi\) |
0.213145 | + | 0.977020i | \(0.431629\pi\) | |||||||
\(74\) | 1.37047 | + | 1.71852i | 0.159314 | + | 0.199774i | ||||
\(75\) | −3.66575 | + | 0.196326i | −0.423285 | + | 0.0226698i | ||||
\(76\) | −0.786146 | − | 3.44433i | −0.0901772 | − | 0.395092i | ||||
\(77\) | 13.0108 | − | 6.93828i | 1.48272 | − | 0.790690i | ||||
\(78\) | 1.95671 | + | 0.446607i | 0.221554 | + | 0.0505683i | ||||
\(79\) | −13.7392 | −1.54579 | −0.772893 | − | 0.634537i | \(-0.781191\pi\) | ||||
−0.772893 | + | 0.634537i | \(0.781191\pi\) | |||||||
\(80\) | 2.22791 | + | 0.190833i | 0.249088 | + | 0.0213357i | ||||
\(81\) | −0.987795 | + | 4.32781i | −0.109755 | + | 0.480868i | ||||
\(82\) | 1.05644 | + | 2.19372i | 0.116665 | + | 0.242256i | ||||
\(83\) | −5.15780 | + | 4.11321i | −0.566142 | + | 0.451483i | −0.864260 | − | 0.503046i | \(-0.832213\pi\) |
0.298118 | + | 0.954529i | \(0.403641\pi\) | |||||||
\(84\) | 1.56721 | + | 1.14770i | 0.170997 | + | 0.125224i | ||||
\(85\) | 1.61660 | + | 1.53234i | 0.175345 | + | 0.166205i | ||||
\(86\) | 2.63605 | − | 11.5493i | 0.284252 | − | 1.24539i | ||||
\(87\) | 0.187510 | + | 0.149534i | 0.0201032 | + | 0.0160318i | ||||
\(88\) | −2.41810 | − | 5.02125i | −0.257771 | − | 0.535267i | ||||
\(89\) | −4.20768 | − | 5.27626i | −0.446013 | − | 0.559283i | 0.507104 | − | 0.861885i | \(-0.330716\pi\) |
−0.953117 | + | 0.302602i | \(0.902145\pi\) | |||||||
\(90\) | 2.80201 | − | 4.73604i | 0.295357 | − | 0.499223i | ||||
\(91\) | 3.40322 | + | 6.38179i | 0.356754 | + | 0.668993i | ||||
\(92\) | −2.00381 | − | 4.16096i | −0.208912 | − | 0.433810i | ||||
\(93\) | −2.23657 | + | 4.64428i | −0.231921 | + | 0.481590i | ||||
\(94\) | 1.72494 | + | 7.55744i | 0.177914 | + | 0.779491i | ||||
\(95\) | 6.79901 | + | 4.02253i | 0.697564 | + | 0.412703i | ||||
\(96\) | 0.457767 | − | 0.574022i | 0.0467207 | − | 0.0585859i | ||||
\(97\) | 1.20324i | 0.122170i | 0.998133 | + | 0.0610852i | \(0.0194561\pi\) | ||||
−0.998133 | + | 0.0610852i | \(0.980544\pi\) | |||||||
\(98\) | 0.574879 | + | 6.97635i | 0.0580715 | + | 0.704718i | ||||
\(99\) | −13.7153 | −1.37844 | ||||||||
\(100\) | −3.73684 | + | 3.32205i | −0.373684 | + | 0.332205i | ||||
\(101\) | 7.98767 | + | 3.84666i | 0.794803 | + | 0.382757i | 0.786798 | − | 0.617211i | \(-0.211737\pi\) |
0.00800550 | + | 0.999968i | \(0.497452\pi\) | |||||||
\(102\) | 0.713029 | − | 0.162744i | 0.0706004 | − | 0.0161141i | ||||
\(103\) | 3.09553 | − | 6.42793i | 0.305011 | − | 0.633362i | −0.690974 | − | 0.722880i | \(-0.742818\pi\) |
0.995985 | + | 0.0895172i | \(0.0285324\pi\) | |||||||
\(104\) | 2.46292 | − | 1.18608i | 0.241509 | − | 0.116304i | ||||
\(105\) | −4.27337 | + | 0.777895i | −0.417038 | + | 0.0759148i | ||||
\(106\) | 2.95468 | + | 1.42290i | 0.286984 | + | 0.138204i | ||||
\(107\) | 13.3179 | − | 10.6207i | 1.28749 | − | 1.02674i | 0.289921 | − | 0.957051i | \(-0.406371\pi\) |
0.997569 | − | 0.0696878i | \(-0.0222003\pi\) | |||||||
\(108\) | −1.73963 | − | 3.61238i | −0.167396 | − | 0.347601i | ||||
\(109\) | 2.64430 | − | 3.31585i | 0.253278 | − | 0.317601i | −0.638895 | − | 0.769294i | \(-0.720608\pi\) |
0.892173 | + | 0.451693i | \(0.149180\pi\) | |||||||
\(110\) | 11.8685 | + | 3.79981i | 1.13162 | + | 0.362298i | ||||
\(111\) | −1.00620 | + | 1.26174i | −0.0955047 | + | 0.119759i | ||||
\(112\) | 2.64352 | − | 0.108734i | 0.249789 | − | 0.0102744i | ||||
\(113\) | −3.48764 | + | 2.78130i | −0.328089 | + | 0.261642i | −0.773655 | − | 0.633607i | \(-0.781574\pi\) |
0.445566 | + | 0.895249i | \(0.353002\pi\) | |||||||
\(114\) | 2.33699 | − | 1.12544i | 0.218880 | − | 0.105407i | ||||
\(115\) | 9.83511 | + | 3.14879i | 0.917129 | + | 0.293626i | ||||
\(116\) | 0.326661 | 0.0303297 | ||||||||
\(117\) | − | 6.72732i | − | 0.621941i | ||||||
\(118\) | −0.629058 | − | 0.143578i | −0.0579095 | − | 0.0132175i | ||||
\(119\) | 2.12633 | + | 1.55716i | 0.194921 | + | 0.142744i | ||||
\(120\) | 0.227388 | + | 1.62590i | 0.0207576 | + | 0.148424i | ||||
\(121\) | −4.46380 | − | 19.5572i | −0.405800 | − | 1.77793i | ||||
\(122\) | −0.436983 | + | 0.348482i | −0.0395626 | + | 0.0315501i | ||||
\(123\) | −1.39766 | + | 1.11459i | −0.126023 | + | 0.100500i | ||||
\(124\) | 1.56230 | + | 6.84488i | 0.140299 | + | 0.614689i | ||||
\(125\) | 0.357054 | − | 11.1746i | 0.0319359 | − | 0.999490i | ||||
\(126\) | 2.58157 | − | 5.97741i | 0.229984 | − | 0.532510i | ||||
\(127\) | 4.61924 | + | 1.05431i | 0.409891 | + | 0.0935550i | 0.422494 | − | 0.906366i | \(-0.361155\pi\) |
−0.0126030 | + | 0.999921i | \(0.504012\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | 8.69757 | 0.765778 | ||||||||
\(130\) | −1.86380 | + | 5.82150i | −0.163466 | + | 0.510580i | ||||
\(131\) | −17.7798 | + | 8.56230i | −1.55343 | + | 0.748092i | −0.996589 | − | 0.0825276i | \(-0.973701\pi\) |
−0.556840 | + | 0.830620i | \(0.687986\pi\) | |||||||
\(132\) | 3.19912 | − | 2.55121i | 0.278447 | − | 0.222054i | ||||
\(133\) | 8.58110 | + | 3.70607i | 0.744075 | + | 0.321357i | ||||
\(134\) | −7.15884 | + | 8.97690i | −0.618430 | + | 0.775486i | ||||
\(135\) | 8.53845 | + | 2.73365i | 0.734872 | + | 0.235275i | ||||
\(136\) | 0.621081 | − | 0.778812i | 0.0532573 | − | 0.0667825i | ||||
\(137\) | 8.94033 | + | 18.5648i | 0.763824 | + | 1.58610i | 0.809486 | + | 0.587140i | \(0.199746\pi\) |
−0.0456618 | + | 0.998957i | \(0.514540\pi\) | |||||||
\(138\) | 2.65101 | − | 2.11411i | 0.225669 | − | 0.179965i | ||||
\(139\) | −11.7561 | − | 5.66142i | −0.997136 | − | 0.480195i | −0.137170 | − | 0.990547i | \(-0.543801\pi\) |
−0.859966 | + | 0.510352i | \(0.829515\pi\) | |||||||
\(140\) | −3.89000 | + | 4.45734i | −0.328765 | + | 0.376714i | ||||
\(141\) | −5.12776 | + | 2.46940i | −0.431835 | + | 0.207961i | ||||
\(142\) | −5.62777 | + | 11.6862i | −0.472272 | + | 0.980684i | ||||
\(143\) | 14.8530 | − | 3.39010i | 1.24207 | − | 0.283494i | ||||
\(144\) | −2.21724 | − | 1.06777i | −0.184770 | − | 0.0889804i | ||||
\(145\) | −0.502495 | + | 0.530127i | −0.0417299 | + | 0.0440246i | ||||
\(146\) | −7.56176 | −0.625816 | ||||||||
\(147\) | −4.89971 | + | 1.55126i | −0.404121 | + | 0.127946i | ||||
\(148\) | 2.19807i | 0.180680i | ||||||||
\(149\) | 9.93720 | − | 12.4609i | 0.814087 | − | 1.02083i | −0.185186 | − | 0.982704i | \(-0.559289\pi\) |
0.999273 | − | 0.0381294i | \(-0.0121399\pi\) | |||||||
\(150\) | −2.98841 | − | 2.13207i | −0.244003 | − | 0.174083i | ||||
\(151\) | 0.536607 | + | 2.35103i | 0.0436684 | + | 0.191324i | 0.992058 | − | 0.125785i | \(-0.0401450\pi\) |
−0.948389 | + | 0.317109i | \(0.897288\pi\) | |||||||
\(152\) | 1.53287 | − | 3.18304i | 0.124332 | − | 0.258179i | ||||
\(153\) | −1.06364 | − | 2.20867i | −0.0859903 | − | 0.178561i | ||||
\(154\) | 14.4982 | + | 2.68755i | 1.16830 | + | 0.216569i | ||||
\(155\) | −13.5116 | − | 7.99393i | −1.08528 | − | 0.642088i | ||||
\(156\) | 1.25137 | + | 1.56916i | 0.100189 | + | 0.125634i | ||||
\(157\) | −5.02227 | − | 10.4288i | −0.400821 | − | 0.832313i | −0.999509 | − | 0.0313307i | \(-0.990025\pi\) |
0.598688 | − | 0.800982i | \(-0.295689\pi\) | |||||||
\(158\) | −10.7418 | − | 8.56628i | −0.854569 | − | 0.681496i | ||||
\(159\) | −0.535781 | + | 2.34741i | −0.0424902 | + | 0.186162i | ||||
\(160\) | 1.62287 | + | 1.53828i | 0.128299 | + | 0.121612i | ||||
\(161\) | 12.0142 | + | 2.22709i | 0.946855 | + | 0.175519i | ||||
\(162\) | −3.47064 | + | 2.76774i | −0.272679 | + | 0.217454i | ||||
\(163\) | −1.57814 | − | 3.27704i | −0.123609 | − | 0.256677i | 0.829977 | − | 0.557798i | \(-0.188354\pi\) |
−0.953586 | + | 0.301121i | \(0.902639\pi\) | |||||||
\(164\) | −0.541805 | + | 2.37380i | −0.0423079 | + | 0.185363i | ||||
\(165\) | −0.780854 | + | 9.11622i | −0.0607894 | + | 0.709696i | ||||
\(166\) | −6.59707 | −0.512032 | ||||||||
\(167\) | −12.2720 | − | 2.80101i | −0.949639 | − | 0.216749i | −0.280473 | − | 0.959862i | \(-0.590491\pi\) |
−0.669166 | + | 0.743113i | \(0.733348\pi\) | |||||||
\(168\) | 0.509716 | + | 1.87445i | 0.0393254 | + | 0.144617i | ||||
\(169\) | −1.22993 | − | 5.38869i | −0.0946102 | − | 0.414514i | ||||
\(170\) | 0.308512 | + | 2.20596i | 0.0236618 | + | 0.169190i | ||||
\(171\) | −5.42081 | − | 6.79748i | −0.414540 | − | 0.519817i | ||||
\(172\) | 9.26180 | − | 7.38604i | 0.706206 | − | 0.563180i | ||||
\(173\) | −21.1193 | + | 4.82034i | −1.60567 | + | 0.366484i | −0.929081 | − | 0.369876i | \(-0.879400\pi\) |
−0.676590 | + | 0.736360i | \(0.736543\pi\) | |||||||
\(174\) | 0.0533682 | + | 0.233822i | 0.00404584 | + | 0.0177260i | ||||
\(175\) | −1.24977 | − | 13.1696i | −0.0944736 | − | 0.995527i | ||||
\(176\) | 1.24015 | − | 5.43343i | 0.0934795 | − | 0.409560i | ||||
\(177\) | − | 0.473733i | − | 0.0356080i | ||||||
\(178\) | − | 6.74859i | − | 0.505828i | ||||||
\(179\) | −3.99919 | + | 17.5216i | −0.298914 | + | 1.30963i | 0.572834 | + | 0.819671i | \(0.305844\pi\) |
−0.871748 | + | 0.489955i | \(0.837013\pi\) | |||||||
\(180\) | 5.14357 | − | 1.95576i | 0.383379 | − | 0.145774i | ||||
\(181\) | −1.27232 | − | 1.59544i | −0.0945710 | − | 0.118588i | 0.732294 | − | 0.680988i | \(-0.238450\pi\) |
−0.826865 | + | 0.562400i | \(0.809878\pi\) | |||||||
\(182\) | −1.31824 | + | 7.11136i | −0.0977144 | + | 0.527129i | ||||
\(183\) | −0.320833 | − | 0.255856i | −0.0237167 | − | 0.0189134i | ||||
\(184\) | 1.02767 | − | 4.50253i | 0.0757610 | − | 0.331931i | ||||
\(185\) | −3.56718 | − | 3.38124i | −0.262264 | − | 0.248594i | ||||
\(186\) | −4.64428 | + | 2.23657i | −0.340535 | + | 0.163993i | ||||
\(187\) | 4.34044 | − | 3.46139i | 0.317405 | − | 0.253122i | ||||
\(188\) | −3.36338 | + | 6.98413i | −0.245300 | + | 0.509370i | ||||
\(189\) | 10.4303 | + | 1.93347i | 0.758691 | + | 0.140639i | ||||
\(190\) | 2.80767 | + | 7.38405i | 0.203690 | + | 0.535696i | ||||
\(191\) | 11.3263 | + | 5.45447i | 0.819544 | + | 0.394671i | 0.796183 | − | 0.605056i | \(-0.206849\pi\) |
0.0233605 | + | 0.999727i | \(0.492563\pi\) | |||||||
\(192\) | 0.715794 | − | 0.163375i | 0.0516580 | − | 0.0117906i | ||||
\(193\) | 6.75854 | − | 14.0343i | 0.486491 | − | 1.01021i | −0.502821 | − | 0.864391i | \(-0.667704\pi\) |
0.989311 | − | 0.145818i | \(-0.0465813\pi\) | |||||||
\(194\) | −0.750207 | + | 0.940730i | −0.0538617 | + | 0.0675405i | ||||
\(195\) | −4.47149 | − | 0.383008i | −0.320210 | − | 0.0274278i | ||||
\(196\) | −3.90023 | + | 5.81276i | −0.278588 | + | 0.415197i | ||||
\(197\) | 14.1634i | 1.00910i | 0.863383 | + | 0.504549i | \(0.168341\pi\) | ||||
−0.863383 | + | 0.504549i | \(0.831659\pi\) | |||||||
\(198\) | −10.7230 | − | 8.55133i | −0.762052 | − | 0.607716i | ||||
\(199\) | 14.5565 | + | 7.01003i | 1.03188 | + | 0.496928i | 0.871638 | − | 0.490150i | \(-0.163058\pi\) |
0.160243 | + | 0.987078i | \(0.448772\pi\) | |||||||
\(200\) | −4.99284 | + | 0.267401i | −0.353047 | + | 0.0189081i | ||||
\(201\) | −7.59519 | − | 3.65765i | −0.535723 | − | 0.257991i | ||||
\(202\) | 3.84666 | + | 7.98767i | 0.270650 | + | 0.562011i | ||||
\(203\) | −0.510634 | + | 0.697283i | −0.0358395 | + | 0.0489396i | ||||
\(204\) | 0.658938 | + | 0.317328i | 0.0461349 | + | 0.0222174i | ||||
\(205\) | −3.01892 | − | 4.53085i | −0.210851 | − | 0.316448i | ||||
\(206\) | 6.42793 | − | 3.09553i | 0.447855 | − | 0.215676i | ||||
\(207\) | −8.88586 | − | 7.08623i | −0.617610 | − | 0.492527i | ||||
\(208\) | 2.66509 | + | 0.608290i | 0.184791 | + | 0.0421773i | ||||
\(209\) | 12.2762 | − | 15.3939i | 0.849162 | − | 1.06482i | ||||
\(210\) | −3.82607 | − | 2.05622i | −0.264024 | − | 0.141893i | ||||
\(211\) | 2.88431 | + | 3.61680i | 0.198564 | + | 0.248991i | 0.871138 | − | 0.491039i | \(-0.163383\pi\) |
−0.672574 | + | 0.740030i | \(0.734811\pi\) | |||||||
\(212\) | 1.42290 | + | 2.95468i | 0.0977252 | + | 0.202928i | ||||
\(213\) | −9.28434 | − | 2.11909i | −0.636153 | − | 0.145198i | ||||
\(214\) | 17.0342 | 1.16444 | ||||||||
\(215\) | −2.26066 | + | 26.3925i | −0.154176 | + | 1.79995i | ||||
\(216\) | 0.892184 | − | 3.90891i | 0.0607054 | − | 0.265968i | ||||
\(217\) | −17.0531 | − | 7.36503i | −1.15764 | − | 0.499971i | ||||
\(218\) | 4.13479 | − | 0.943740i | 0.280044 | − | 0.0639181i | ||||
\(219\) | −1.23540 | − | 5.41266i | −0.0834809 | − | 0.365754i | ||||
\(220\) | 6.91005 | + | 10.3707i | 0.465876 | + | 0.699194i | ||||
\(221\) | 1.69781 | + | 2.12898i | 0.114207 | + | 0.143211i | ||||
\(222\) | −1.57336 | + | 0.359110i | −0.105597 | + | 0.0241019i | ||||
\(223\) | −23.4006 | + | 5.34103i | −1.56702 | + | 0.357662i | −0.915929 | − | 0.401340i | \(-0.868545\pi\) |
−0.651089 | + | 0.759002i | \(0.725687\pi\) | |||||||
\(224\) | 2.13458 | + | 1.56319i | 0.142623 | + | 0.104445i | ||||
\(225\) | −4.73830 | + | 11.3558i | −0.315886 | + | 0.757056i | ||||
\(226\) | −4.46085 | −0.296732 | ||||||||
\(227\) | 21.5391i | 1.42960i | 0.699328 | + | 0.714801i | \(0.253483\pi\) | ||||
−0.699328 | + | 0.714801i | \(0.746517\pi\) | |||||||
\(228\) | 2.52883 | + | 0.577190i | 0.167476 | + | 0.0382253i | ||||
\(229\) | 10.1103 | − | 4.86886i | 0.668107 | − | 0.321743i | −0.0689047 | − | 0.997623i | \(-0.521950\pi\) |
0.737012 | + | 0.675880i | \(0.236236\pi\) | |||||||
\(230\) | 5.72616 | + | 8.59391i | 0.377572 | + | 0.566666i | ||||
\(231\) | 0.444919 | + | 10.8168i | 0.0292735 | + | 0.711693i | ||||
\(232\) | 0.255393 | + | 0.203670i | 0.0167674 | + | 0.0133716i | ||||
\(233\) | 0.641823 | + | 0.146492i | 0.0420472 | + | 0.00959700i | 0.243493 | − | 0.969903i | \(-0.421707\pi\) |
−0.201446 | + | 0.979500i | \(0.564564\pi\) | |||||||
\(234\) | 4.19442 | − | 5.25963i | 0.274198 | − | 0.343833i | ||||
\(235\) | −6.16050 | − | 16.2018i | −0.401867 | − | 1.05689i | ||||
\(236\) | −0.402298 | − | 0.504466i | −0.0261874 | − | 0.0328379i | ||||
\(237\) | 4.37675 | − | 9.08841i | 0.284300 | − | 0.590356i | ||||
\(238\) | 0.691564 | + | 2.54318i | 0.0448274 | + | 0.164850i | ||||
\(239\) | −15.7636 | + | 7.59135i | −1.01966 | + | 0.491043i | −0.867566 | − | 0.497322i | \(-0.834317\pi\) |
−0.152096 | + | 0.988366i | \(0.548602\pi\) | |||||||
\(240\) | −0.835953 | + | 1.41296i | −0.0539606 | + | 0.0912059i | ||||
\(241\) | −5.93920 | − | 26.0213i | −0.382578 | − | 1.67618i | −0.689373 | − | 0.724406i | \(-0.742114\pi\) |
0.306796 | − | 0.951775i | \(-0.400743\pi\) | |||||||
\(242\) | 8.70377 | − | 18.0736i | 0.559499 | − | 1.16181i | ||||
\(243\) | −11.9523 | − | 9.53161i | −0.766738 | − | 0.611453i | ||||
\(244\) | −0.558922 | −0.0357813 | ||||||||
\(245\) | −3.43371 | − | 15.2712i | −0.219372 | − | 0.975641i | ||||
\(246\) | −1.78767 | −0.113978 | ||||||||
\(247\) | 7.55067 | + | 6.02146i | 0.480438 | + | 0.383136i | ||||
\(248\) | −3.04626 | + | 6.32562i | −0.193438 | + | 0.401677i | ||||
\(249\) | −1.07780 | − | 4.72214i | −0.0683027 | − | 0.299254i | ||||
\(250\) | 7.24643 | − | 8.51406i | 0.458304 | − | 0.538477i | ||||
\(251\) | −1.14245 | + | 0.550173i | −0.0721106 | + | 0.0347266i | −0.469591 | − | 0.882884i | \(-0.655599\pi\) |
0.397481 | + | 0.917610i | \(0.369885\pi\) | |||||||
\(252\) | 5.74520 | − | 3.06374i | 0.361914 | − | 0.192998i | ||||
\(253\) | 11.1676 | − | 23.1897i | 0.702099 | − | 1.45792i | ||||
\(254\) | 2.95412 | + | 3.70434i | 0.185358 | + | 0.232431i | ||||
\(255\) | −1.52861 | + | 0.581231i | −0.0957253 | + | 0.0363981i | ||||
\(256\) | 0.623490 | − | 0.781831i | 0.0389681 | − | 0.0488645i | ||||
\(257\) | −11.7935 | − | 2.69179i | −0.735659 | − | 0.167909i | −0.161754 | − | 0.986831i | \(-0.551715\pi\) |
−0.573905 | + | 0.818922i | \(0.694572\pi\) | |||||||
\(258\) | 6.80003 | + | 5.42284i | 0.423351 | + | 0.337612i | ||||
\(259\) | −4.69195 | − | 3.43601i | −0.291544 | − | 0.213503i | ||||
\(260\) | −5.08683 | + | 3.38937i | −0.315472 | + | 0.210200i | ||||
\(261\) | 0.724284 | − | 0.348797i | 0.0448321 | − | 0.0215900i | ||||
\(262\) | −19.2393 | − | 4.39125i | −1.18861 | − | 0.271292i | ||||
\(263\) | 11.9861i | 0.739094i | 0.929212 | + | 0.369547i | \(0.120487\pi\) | ||||
−0.929212 | + | 0.369547i | \(0.879513\pi\) | |||||||
\(264\) | 4.09182 | 0.251834 | ||||||||
\(265\) | −6.98387 | − | 2.23594i | −0.429016 | − | 0.137353i | ||||
\(266\) | 4.39828 | + | 8.24775i | 0.269676 | + | 0.505702i | ||||
\(267\) | 4.83060 | − | 1.10255i | 0.295628 | − | 0.0674751i | ||||
\(268\) | −11.1940 | + | 2.55496i | −0.683783 | + | 0.156069i | ||||
\(269\) | −2.74381 | − | 3.44063i | −0.167293 | − | 0.209779i | 0.691117 | − | 0.722743i | \(-0.257119\pi\) |
−0.858410 | + | 0.512964i | \(0.828547\pi\) | |||||||
\(270\) | 4.97122 | + | 7.46089i | 0.302539 | + | 0.454055i | ||||
\(271\) | −2.23917 | − | 9.81044i | −0.136020 | − | 0.595942i | −0.996287 | − | 0.0860978i | \(-0.972560\pi\) |
0.860267 | − | 0.509844i | \(-0.170297\pi\) | |||||||
\(272\) | 0.971162 | − | 0.221661i | 0.0588854 | − | 0.0134402i | ||||
\(273\) | −5.30563 | + | 0.218232i | −0.321111 | + | 0.0132080i | ||||
\(274\) | −4.58512 | + | 20.0887i | −0.276997 | + | 1.21360i | ||||
\(275\) | −27.4599 | − | 4.73895i | −1.65589 | − | 0.285769i | ||||
\(276\) | 3.39078 | 0.204101 | ||||||||
\(277\) | −10.5667 | − | 2.41177i | −0.634889 | − | 0.144909i | −0.107050 | − | 0.994254i | \(-0.534140\pi\) |
−0.527839 | + | 0.849344i | \(0.676998\pi\) | |||||||
\(278\) | −5.66142 | − | 11.7561i | −0.339549 | − | 0.705082i | ||||
\(279\) | 10.7727 | + | 13.5086i | 0.644946 | + | 0.808736i | ||||
\(280\) | −5.82043 | + | 1.05951i | −0.347837 | + | 0.0633179i | ||||
\(281\) | 11.4649 | − | 14.3765i | 0.683937 | − | 0.857630i | −0.311773 | − | 0.950157i | \(-0.600923\pi\) |
0.995710 | + | 0.0925264i | \(0.0294942\pi\) | |||||||
\(282\) | −5.54869 | − | 1.26645i | −0.330419 | − | 0.0754161i | ||||
\(283\) | 18.5947 | + | 14.8288i | 1.10534 | + | 0.881479i | 0.993678 | − | 0.112267i | \(-0.0358112\pi\) |
0.111662 | + | 0.993746i | \(0.464383\pi\) | |||||||
\(284\) | −11.6862 | + | 5.62777i | −0.693448 | + | 0.333947i | ||||
\(285\) | −4.82675 | + | 3.21609i | −0.285912 | + | 0.190504i | ||||
\(286\) | 13.7262 | + | 6.61020i | 0.811649 | + | 0.390869i | ||||
\(287\) | −4.22012 | − | 4.86724i | −0.249106 | − | 0.287304i | ||||
\(288\) | −1.06777 | − | 2.21724i | −0.0629187 | − | 0.130652i | ||||
\(289\) | −14.4224 | − | 6.94549i | −0.848379 | − | 0.408558i | ||||
\(290\) | −0.723395 | + | 0.101170i | −0.0424792 | + | 0.00594088i | ||||
\(291\) | −0.795934 | − | 0.383301i | −0.0466585 | − | 0.0224695i | ||||
\(292\) | −5.91202 | − | 4.71468i | −0.345975 | − | 0.275906i | ||||
\(293\) | − | 14.5703i | − | 0.851206i | −0.904910 | − | 0.425603i | \(-0.860062\pi\) | ||
0.904910 | − | 0.425603i | \(-0.139938\pi\) | |||||||
\(294\) | −4.79794 | − | 1.84210i | −0.279822 | − | 0.107433i | ||||
\(295\) | 1.43753 | + | 0.123132i | 0.0836961 | + | 0.00716903i | ||||
\(296\) | −1.37047 | + | 1.71852i | −0.0796572 | + | 0.0998870i | ||||
\(297\) | 9.69524 | − | 20.1324i | 0.562575 | − | 1.16820i | ||||
\(298\) | 15.5384 | − | 3.54655i | 0.900117 | − | 0.205446i | ||||
\(299\) | 11.3745 | + | 5.47768i | 0.657806 | + | 0.316783i | ||||
\(300\) | −1.00711 | − | 3.53016i | −0.0581456 | − | 0.203814i | ||||
\(301\) | 1.28809 | + | 31.3159i | 0.0742444 | + | 1.80502i | ||||
\(302\) | −1.04631 | + | 2.17268i | −0.0602081 | + | 0.125023i | ||||
\(303\) | −5.08908 | + | 4.05840i | −0.292360 | + | 0.233149i | ||||
\(304\) | 3.18304 | − | 1.53287i | 0.182560 | − | 0.0879163i | ||||
\(305\) | 0.859777 | − | 0.907056i | 0.0492307 | − | 0.0519379i | ||||
\(306\) | 0.545497 | − | 2.38998i | 0.0311840 | − | 0.136626i | ||||
\(307\) | 12.3215 | + | 9.82611i | 0.703228 | + | 0.560806i | 0.908493 | − | 0.417901i | \(-0.137234\pi\) |
−0.205265 | + | 0.978706i | \(0.565806\pi\) | |||||||
\(308\) | 9.65950 | + | 11.1407i | 0.550401 | + | 0.634800i | ||||
\(309\) | 3.26592 | + | 4.09534i | 0.185792 | + | 0.232976i | ||||
\(310\) | −5.57966 | − | 14.6742i | −0.316903 | − | 0.833441i | ||||
\(311\) | 2.43411 | − | 10.6645i | 0.138025 | − | 0.604729i | −0.857842 | − | 0.513913i | \(-0.828195\pi\) |
0.995868 | − | 0.0908160i | \(-0.0289475\pi\) | |||||||
\(312\) | 2.00704i | 0.113626i | ||||||||
\(313\) | 34.0182i | 1.92282i | 0.275118 | + | 0.961410i | \(0.411283\pi\) | ||||
−0.275118 | + | 0.961410i | \(0.588717\pi\) | |||||||
\(314\) | 2.57571 | − | 11.2849i | 0.145356 | − | 0.636846i | ||||
\(315\) | −3.86567 | + | 14.0366i | −0.217806 | + | 0.790872i | ||||
\(316\) | −3.05727 | − | 13.3948i | −0.171985 | − | 0.753515i | ||||
\(317\) | −6.33973 | + | 1.44700i | −0.356074 | + | 0.0812717i | −0.396816 | − | 0.917898i | \(-0.629885\pi\) |
0.0407419 | + | 0.999170i | \(0.487028\pi\) | |||||||
\(318\) | −1.88248 | + | 1.50122i | −0.105564 | + | 0.0841845i | ||||
\(319\) | 1.13508 | + | 1.42335i | 0.0635525 | + | 0.0796923i | ||||
\(320\) | 0.309708 | + | 2.21452i | 0.0173132 | + | 0.123795i | ||||
\(321\) | 2.78297 | + | 12.1930i | 0.155330 | + | 0.680546i | ||||
\(322\) | 8.00454 | + | 9.23197i | 0.446076 | + | 0.514477i | ||||
\(323\) | 3.43103 | + | 0.783110i | 0.190908 | + | 0.0435734i | ||||
\(324\) | −4.43911 | −0.246617 | ||||||||
\(325\) | 2.32445 | − | 13.4690i | 0.128937 | − | 0.747128i | ||||
\(326\) | 0.809361 | − | 3.54604i | 0.0448264 | − | 0.196397i | ||||
\(327\) | 1.35105 | + | 2.80548i | 0.0747130 | + | 0.155143i | ||||
\(328\) | −1.90364 | + | 1.51810i | −0.105111 | + | 0.0838233i | ||||
\(329\) | −9.65055 | − | 18.0969i | −0.532052 | − | 0.997717i | ||||
\(330\) | −6.29436 | + | 6.64049i | −0.346493 | + | 0.365547i | ||||
\(331\) | 0.755093 | − | 3.30828i | 0.0415036 | − | 0.181839i | −0.949927 | − | 0.312471i | \(-0.898843\pi\) |
0.991431 | + | 0.130632i | \(0.0417005\pi\) | |||||||
\(332\) | −5.15780 | − | 4.11321i | −0.283071 | − | 0.225742i | ||||
\(333\) | 2.34702 | + | 4.87364i | 0.128616 | + | 0.267074i | ||||
\(334\) | −7.84826 | − | 9.84141i | −0.429438 | − | 0.538498i | ||||
\(335\) | 13.0731 | − | 22.0967i | 0.714262 | − | 1.20727i | ||||
\(336\) | −0.770187 | + | 1.78330i | −0.0420171 | + | 0.0972872i | ||||
\(337\) | 5.86174 | + | 12.1720i | 0.319309 | + | 0.663052i | 0.997411 | − | 0.0719161i | \(-0.0229114\pi\) |
−0.678102 | + | 0.734968i | \(0.737197\pi\) | |||||||
\(338\) | 2.39819 | − | 4.97990i | 0.130444 | − | 0.270871i | ||||
\(339\) | −0.728793 | − | 3.19305i | −0.0395826 | − | 0.173423i | ||||
\(340\) | −1.13419 | + | 1.91704i | −0.0615101 | + | 0.103966i | ||||
\(341\) | −24.3963 | + | 30.5920i | −1.32114 | + | 1.65665i | ||||
\(342\) | − | 8.69431i | − | 0.470134i | ||||||
\(343\) | −6.31099 | − | 17.4118i | −0.340761 | − | 0.940150i | ||||
\(344\) | 11.8463 | 0.638709 | ||||||||
\(345\) | −5.21596 | + | 5.50278i | −0.280818 | + | 0.296260i | ||||
\(346\) | −19.5172 | − | 9.39897i | −1.04925 | − | 0.505292i | ||||
\(347\) | −35.1717 | + | 8.02772i | −1.88812 | + | 0.430951i | −0.999610 | − | 0.0279117i | \(-0.991114\pi\) |
−0.888507 | + | 0.458862i | \(0.848257\pi\) | |||||||
\(348\) | −0.104060 | + | 0.216084i | −0.00557822 | + | 0.0115833i | ||||
\(349\) | −1.49839 | + | 0.721586i | −0.0802069 | + | 0.0386256i | −0.473557 | − | 0.880763i | \(-0.657030\pi\) |
0.393350 | + | 0.919389i | \(0.371316\pi\) | |||||||
\(350\) | 7.23400 | − | 11.0756i | 0.386673 | − | 0.592017i | ||||
\(351\) | 9.87490 | + | 4.75550i | 0.527083 | + | 0.253830i | ||||
\(352\) | 4.35727 | − | 3.47481i | 0.232243 | − | 0.185208i | ||||
\(353\) | 12.5079 | + | 25.9729i | 0.665728 | + | 1.38240i | 0.910782 | + | 0.412888i | \(0.135480\pi\) |
−0.245054 | + | 0.969509i | \(0.578806\pi\) | |||||||
\(354\) | 0.295368 | − | 0.370380i | 0.0156986 | − | 0.0196855i | ||||
\(355\) | 8.84348 | − | 27.6222i | 0.469363 | − | 1.46604i | ||||
\(356\) | 4.20768 | − | 5.27626i | 0.223007 | − | 0.279641i | ||||
\(357\) | −1.70741 | + | 0.910509i | −0.0903656 | + | 0.0481893i | ||||
\(358\) | −14.0512 | + | 11.2055i | −0.742631 | + | 0.592229i | ||||
\(359\) | 8.52407 | − | 4.10498i | 0.449883 | − | 0.216652i | −0.195202 | − | 0.980763i | \(-0.562536\pi\) |
0.645085 | + | 0.764111i | \(0.276822\pi\) | |||||||
\(360\) | 5.24080 | + | 1.67789i | 0.276215 | + | 0.0884324i | ||||
\(361\) | −6.51855 | −0.343081 | ||||||||
\(362\) | − | 2.04065i | − | 0.107254i | ||||||
\(363\) | 14.3589 | + | 3.27733i | 0.753648 | + | 0.172015i | ||||
\(364\) | −5.46450 | + | 4.73797i | −0.286418 | + | 0.248337i | ||||
\(365\) | 16.7456 | − | 2.34194i | 0.876507 | − | 0.122583i | ||||
\(366\) | −0.0913140 | − | 0.400073i | −0.00477306 | − | 0.0209121i | ||||
\(367\) | −12.0361 | + | 9.59847i | −0.628280 | + | 0.501036i | −0.885087 | − | 0.465426i | \(-0.845901\pi\) |
0.256807 | + | 0.966463i | \(0.417330\pi\) | |||||||
\(368\) | 3.61075 | − | 2.87947i | 0.188223 | − | 0.150103i | ||||
\(369\) | 1.33335 | + | 5.84181i | 0.0694117 | + | 0.304112i | ||||
\(370\) | −0.680761 | − | 4.86766i | −0.0353911 | − | 0.253058i | ||||
\(371\) | −8.53127 | − | 1.58145i | −0.442921 | − | 0.0821048i | ||||
\(372\) | −5.02552 | − | 1.14704i | −0.260561 | − | 0.0594714i | ||||
\(373\) | − | 1.31118i | − | 0.0678902i | −0.999424 | − | 0.0339451i | \(-0.989193\pi\) | ||
0.999424 | − | 0.0339451i | \(-0.0108071\pi\) | |||||||
\(374\) | 5.55164 | 0.287068 | ||||||||
\(375\) | 7.27820 | + | 3.79596i | 0.375845 | + | 0.196023i | ||||
\(376\) | −6.98413 | + | 3.36338i | −0.360179 | + | 0.173453i | ||||
\(377\) | −0.698151 | + | 0.556757i | −0.0359566 | + | 0.0286744i | ||||
\(378\) | 6.94922 | + | 8.01482i | 0.357429 | + | 0.412238i | ||||
\(379\) | 0.241043 | − | 0.302259i | 0.0123816 | − | 0.0155260i | −0.775602 | − | 0.631222i | \(-0.782554\pi\) |
0.787984 | + | 0.615696i | \(0.211125\pi\) | |||||||
\(380\) | −2.40875 | + | 7.52364i | −0.123567 | + | 0.385955i | ||||
\(381\) | −2.16892 | + | 2.71973i | −0.111117 | + | 0.139336i | ||||
\(382\) | 5.45447 | + | 11.3263i | 0.279075 | + | 0.579505i | ||||
\(383\) | 9.54114 | − | 7.60881i | 0.487530 | − | 0.388792i | −0.348645 | − | 0.937255i | \(-0.613358\pi\) |
0.836175 | + | 0.548463i | \(0.184787\pi\) | |||||||
\(384\) | 0.661493 | + | 0.318558i | 0.0337567 | + | 0.0162564i | ||||
\(385\) | −32.9389 | − | 1.46140i | −1.67872 | − | 0.0744797i | ||||
\(386\) | 14.0343 | − | 6.75854i | 0.714325 | − | 0.344001i | ||||
\(387\) | 12.6491 | − | 26.2660i | 0.642988 | − | 1.33518i | ||||
\(388\) | −1.17307 | + | 0.267746i | −0.0595537 | + | 0.0135927i | ||||
\(389\) | −8.22592 | − | 3.96140i | −0.417071 | − | 0.200851i | 0.213566 | − | 0.976929i | \(-0.431492\pi\) |
−0.630637 | + | 0.776078i | \(0.717206\pi\) | |||||||
\(390\) | −3.25715 | − | 3.08738i | −0.164932 | − | 0.156336i | ||||
\(391\) | 4.60048 | 0.232656 | ||||||||
\(392\) | −6.67352 | + | 2.11285i | −0.337064 | + | 0.106715i | ||||
\(393\) | − | 14.4888i | − | 0.730864i | ||||||
\(394\) | −8.83072 | + | 11.0734i | −0.444885 | + | 0.557868i | ||||
\(395\) | 26.4409 | + | 15.6433i | 1.33038 | + | 0.787102i | ||||
\(396\) | −3.05193 | − | 13.3714i | −0.153365 | − | 0.671938i | ||||
\(397\) | −15.0558 | + | 31.2637i | −0.755630 | + | 1.56908i | 0.0651757 | + | 0.997874i | \(0.479239\pi\) |
−0.820806 | + | 0.571208i | \(0.806475\pi\) | |||||||
\(398\) | 7.01003 | + | 14.5565i | 0.351381 | + | 0.729650i | ||||
\(399\) | −5.18512 | + | 4.49574i | −0.259580 | + | 0.225068i | ||||
\(400\) | −4.07028 | − | 2.90393i | −0.203514 | − | 0.145196i | ||||
\(401\) | 16.8312 | + | 21.1056i | 0.840509 | + | 1.05396i | 0.997792 | + | 0.0664112i | \(0.0211549\pi\) |
−0.157284 | + | 0.987553i | \(0.550274\pi\) | |||||||
\(402\) | −3.65765 | − | 7.59519i | −0.182427 | − | 0.378814i | ||||
\(403\) | −15.0054 | − | 11.9664i | −0.747470 | − | 0.596088i | ||||
\(404\) | −1.97279 | + | 8.64337i | −0.0981501 | + | 0.430024i | ||||
\(405\) | 6.82859 | − | 7.20409i | 0.339315 | − | 0.357974i | ||||
\(406\) | −0.833978 | + | 0.226783i | −0.0413896 | + | 0.0112550i | ||||
\(407\) | −9.57759 | + | 7.63788i | −0.474744 | + | 0.378595i | ||||
\(408\) | 0.317328 | + | 0.658938i | 0.0157101 | + | 0.0326223i | ||||
\(409\) | −3.32269 | + | 14.5577i | −0.164297 | + | 0.719830i | 0.823912 | + | 0.566717i | \(0.191787\pi\) |
−0.988209 | + | 0.153113i | \(0.951070\pi\) | |||||||
\(410\) | 0.464649 | − | 5.42463i | 0.0229474 | − | 0.267903i | ||||
\(411\) | −15.1285 | −0.746233 | ||||||||
\(412\) | 6.95558 | + | 1.58757i | 0.342677 | + | 0.0782138i | ||||
\(413\) | 1.70569 | − | 0.0701589i | 0.0839316 | − | 0.00345229i | ||||
\(414\) | −2.52905 | − | 11.0805i | −0.124296 | − | 0.544576i | ||||
\(415\) | 14.6093 | − | 2.04317i | 0.717143 | − | 0.100295i | ||||
\(416\) | 1.70439 | + | 2.13724i | 0.0835646 | + | 0.104787i | ||||
\(417\) | 7.48998 | − | 5.97306i | 0.366786 | − | 0.292502i | ||||
\(418\) | 19.1958 | − | 4.38132i | 0.938898 | − | 0.214297i | ||||
\(419\) | −6.39120 | − | 28.0017i | −0.312231 | − | 1.36797i | −0.850844 | − | 0.525418i | \(-0.823909\pi\) |
0.538614 | − | 0.842553i | \(-0.318948\pi\) | |||||||
\(420\) | −1.70931 | − | 3.99313i | −0.0834056 | − | 0.194845i | ||||
\(421\) | 1.28779 | − | 5.64216i | 0.0627629 | − | 0.274982i | −0.933803 | − | 0.357788i | \(-0.883531\pi\) |
0.996566 | + | 0.0828060i | \(0.0263882\pi\) | |||||||
\(422\) | 4.62607i | 0.225193i | ||||||||
\(423\) | 19.0768i | 0.927544i | ||||||||
\(424\) | −0.729746 | + | 3.19723i | −0.0354396 | + | 0.155271i | ||||
\(425\) | −1.36641 | − | 4.78959i | −0.0662806 | − | 0.232329i | ||||
\(426\) | −5.93756 | − | 7.44546i | −0.287676 | − | 0.360734i | ||||
\(427\) | 0.873703 | − | 1.19306i | 0.0422815 | − | 0.0577363i | ||||
\(428\) | 13.3179 | + | 10.6207i | 0.643745 | + | 0.513369i | ||||
\(429\) | −2.48902 | + | 10.9051i | −0.120171 | + | 0.526503i | ||||
\(430\) | −18.2229 | + | 19.2250i | −0.878786 | + | 0.927110i | ||||
\(431\) | −11.8875 | + | 5.72472i | −0.572601 | + | 0.275750i | −0.697695 | − | 0.716395i | \(-0.745791\pi\) |
0.125094 | + | 0.992145i | \(0.460077\pi\) | |||||||
\(432\) | 3.13470 | − | 2.49984i | 0.150819 | − | 0.120274i | ||||
\(433\) | 7.67806 | − | 15.9436i | 0.368984 | − | 0.766203i | −0.630970 | − | 0.775807i | \(-0.717343\pi\) |
0.999954 | + | 0.00960436i | \(0.00305721\pi\) | |||||||
\(434\) | −8.74064 | − | 16.3907i | −0.419564 | − | 0.786777i | ||||
\(435\) | −0.190601 | − | 0.501273i | −0.00913863 | − | 0.0240342i | ||||
\(436\) | 3.82112 | + | 1.84016i | 0.182999 | + | 0.0881275i | ||||
\(437\) | 15.9070 | − | 3.63067i | 0.760936 | − | 0.173679i | ||||
\(438\) | 2.40886 | − | 5.00205i | 0.115100 | − | 0.239007i | ||||
\(439\) | 11.5293 | − | 14.4572i | 0.550262 | − | 0.690007i | −0.426462 | − | 0.904505i | \(-0.640240\pi\) |
0.976724 | + | 0.214499i | \(0.0688117\pi\) | |||||||
\(440\) | −1.06354 | + | 12.4165i | −0.0507024 | + | 0.591934i | ||||
\(441\) | −2.44106 | + | 17.0528i | −0.116241 | + | 0.812038i | ||||
\(442\) | 2.72307i | 0.129523i | ||||||||
\(443\) | 5.39594 | + | 4.30312i | 0.256369 | + | 0.204447i | 0.743237 | − | 0.669028i | \(-0.233289\pi\) |
−0.486868 | + | 0.873475i | \(0.661861\pi\) | |||||||
\(444\) | −1.45401 | − | 0.700213i | −0.0690041 | − | 0.0332306i | ||||
\(445\) | 2.09010 | + | 14.9449i | 0.0990801 | + | 0.708455i | ||||
\(446\) | −21.6254 | − | 10.4142i | −1.02399 | − | 0.493128i | ||||
\(447\) | 5.07719 | + | 10.5429i | 0.240143 | + | 0.498662i | ||||
\(448\) | 0.694245 | + | 2.55304i | 0.0328000 | + | 0.120620i | ||||
\(449\) | 18.7931 | + | 9.05029i | 0.886902 | + | 0.427109i | 0.821141 | − | 0.570726i | \(-0.193338\pi\) |
0.0657612 | + | 0.997835i | \(0.479052\pi\) | |||||||
\(450\) | −10.7848 | + | 5.92408i | −0.508400 | + | 0.279264i | ||||
\(451\) | −12.2260 | + | 5.88772i | −0.575699 | + | 0.277242i | ||||
\(452\) | −3.48764 | − | 2.78130i | −0.164045 | − | 0.130821i | ||||
\(453\) | −1.72613 | − | 0.393977i | −0.0811006 | − | 0.0185107i | ||||
\(454\) | −13.4294 | + | 16.8400i | −0.630274 | + | 0.790339i | ||||
\(455\) | 0.716813 | − | 16.1565i | 0.0336047 | − | 0.757427i | ||||
\(456\) | 1.61725 | + | 2.02797i | 0.0757347 | + | 0.0949683i | ||||
\(457\) | 5.54637 | + | 11.5172i | 0.259448 | + | 0.538750i | 0.989481 | − | 0.144662i | \(-0.0462095\pi\) |
−0.730033 | + | 0.683412i | \(0.760495\pi\) | |||||||
\(458\) | 10.9402 | + | 2.49704i | 0.511204 | + | 0.116679i | ||||
\(459\) | 3.99395 | 0.186422 | ||||||||
\(460\) | −0.881326 | + | 10.2892i | −0.0410920 | + | 0.479736i | ||||
\(461\) | −7.74721 | + | 33.9428i | −0.360824 | + | 1.58087i | 0.390285 | + | 0.920694i | \(0.372376\pi\) |
−0.751109 | + | 0.660178i | \(0.770481\pi\) | |||||||
\(462\) | −6.39631 | + | 8.73432i | −0.297583 | + | 0.406357i | ||||
\(463\) | 34.7031 | − | 7.92075i | 1.61279 | − | 0.368108i | 0.681336 | − | 0.731971i | \(-0.261399\pi\) |
0.931453 | + | 0.363863i | \(0.118542\pi\) | |||||||
\(464\) | 0.0726888 | + | 0.318470i | 0.00337449 | + | 0.0147846i | ||||
\(465\) | 9.59215 | − | 6.39129i | 0.444825 | − | 0.296389i | ||||
\(466\) | 0.410461 | + | 0.514702i | 0.0190142 | + | 0.0238431i | ||||
\(467\) | 25.3071 | − | 5.77619i | 1.17107 | − | 0.267290i | 0.407620 | − | 0.913152i | \(-0.366359\pi\) |
0.763454 | + | 0.645862i | \(0.223502\pi\) | |||||||
\(468\) | 6.55865 | − | 1.49697i | 0.303174 | − | 0.0691975i | ||||
\(469\) | 12.0447 | − | 27.8884i | 0.556170 | − | 1.28777i | ||||
\(470\) | 5.28521 | − | 16.5081i | 0.243789 | − | 0.761463i | ||||
\(471\) | 8.49849 | 0.391590 | ||||||||
\(472\) | − | 0.645236i | − | 0.0296994i | ||||||
\(473\) | 64.3660 | + | 14.6911i | 2.95955 | + | 0.675499i | ||||
\(474\) | 9.08841 | − | 4.37675i | 0.417444 | − | 0.201031i | ||||
\(475\) | −8.50454 | − | 15.4825i | −0.390215 | − | 0.710388i | ||||
\(476\) | −1.04496 | + | 2.41952i | −0.0478957 | + | 0.110899i | ||||
\(477\) | 6.30981 | + | 5.03191i | 0.288907 | + | 0.230395i | ||||
\(478\) | −17.0576 | − | 3.89329i | −0.780197 | − | 0.178075i | ||||
\(479\) | −19.8143 | + | 24.8463i | −0.905338 | + | 1.13526i | 0.0849719 | + | 0.996383i | \(0.472920\pi\) |
−0.990310 | + | 0.138875i | \(0.955651\pi\) | |||||||
\(480\) | −1.53454 | + | 0.583484i | −0.0700417 | + | 0.0266323i | ||||
\(481\) | −3.74637 | − | 4.69780i | −0.170820 | − | 0.214201i | ||||
\(482\) | 11.5806 | − | 24.0473i | 0.527481 | − | 1.09533i | ||||
\(483\) | −5.30044 | + | 7.23788i | −0.241178 | + | 0.329335i | ||||
\(484\) | 18.0736 | − | 8.70377i | 0.821525 | − | 0.395626i | ||||
\(485\) | 1.36999 | − | 2.31561i | 0.0622082 | − | 0.105146i | ||||
\(486\) | −3.40179 | − | 14.9042i | −0.154308 | − | 0.676069i | ||||
\(487\) | 16.3565 | − | 33.9647i | 0.741186 | − | 1.53909i | −0.0979659 | − | 0.995190i | \(-0.531234\pi\) |
0.839151 | − | 0.543898i | \(-0.183052\pi\) | |||||||
\(488\) | −0.436983 | − | 0.348482i | −0.0197813 | − | 0.0157750i | ||||
\(489\) | 2.67046 | 0.120763 | ||||||||
\(490\) | 6.83685 | − | 14.0804i | 0.308858 | − | 0.636087i | ||||
\(491\) | 36.5026 | 1.64734 | 0.823669 | − | 0.567070i | \(-0.191923\pi\) | ||||
0.823669 | + | 0.567070i | \(0.191923\pi\) | |||||||
\(492\) | −1.39766 | − | 1.11459i | −0.0630113 | − | 0.0502498i | ||||
\(493\) | −0.141185 | + | 0.293174i | −0.00635866 | + | 0.0132039i | ||||
\(494\) | 2.14903 | + | 9.41553i | 0.0966896 | + | 0.423625i | ||||
\(495\) | 26.3947 | + | 15.6160i | 1.18635 | + | 0.701889i | ||||
\(496\) | −6.32562 | + | 3.04626i | −0.284029 | + | 0.136781i | ||||
\(497\) | 6.25486 | − | 33.7424i | 0.280569 | − | 1.51355i | ||||
\(498\) | 2.10155 | − | 4.36391i | 0.0941727 | − | 0.195552i | ||||
\(499\) | 14.9757 | + | 18.7790i | 0.670406 | + | 0.840662i | 0.994431 | − | 0.105386i | \(-0.0336078\pi\) |
−0.324025 | + | 0.946048i | \(0.605036\pi\) | |||||||
\(500\) | 10.9739 | − | 2.13849i | 0.490769 | − | 0.0956361i | ||||
\(501\) | 5.76221 | − | 7.22558i | 0.257436 | − | 0.322815i | ||||
\(502\) | −1.23623 | − | 0.282161i | −0.0551756 | − | 0.0125935i | ||||
\(503\) | 12.5712 | + | 10.0252i | 0.560521 | + | 0.447000i | 0.862315 | − | 0.506373i | \(-0.169014\pi\) |
−0.301794 | + | 0.953373i | \(0.597585\pi\) | |||||||
\(504\) | 6.40199 | + | 1.18674i | 0.285167 | + | 0.0528617i | ||||
\(505\) | −10.9923 | − | 16.4975i | −0.489153 | − | 0.734129i | ||||
\(506\) | 23.1897 | − | 11.1676i | 1.03091 | − | 0.496459i | ||||
\(507\) | 3.95638 | + | 0.903018i | 0.175709 | + | 0.0401045i | ||||
\(508\) | 4.73803i | 0.210216i | ||||||||
\(509\) | 26.4213 | 1.17110 | 0.585551 | − | 0.810635i | \(-0.300878\pi\) | ||||
0.585551 | + | 0.810635i | \(0.300878\pi\) | |||||||
\(510\) | −1.55751 | − | 0.498649i | −0.0689676 | − | 0.0220805i | ||||
\(511\) | 19.3055 | − | 5.24971i | 0.854025 | − | 0.232234i | ||||
\(512\) | 0.974928 | − | 0.222521i | 0.0430861 | − | 0.00983413i | ||||
\(513\) | 13.8098 | − | 3.15200i | 0.609719 | − | 0.139164i | ||||
\(514\) | −7.54223 | − | 9.45766i | −0.332673 | − | 0.417159i | ||||
\(515\) | −13.2760 | + | 8.84588i | −0.585012 | + | 0.389796i | ||||
\(516\) | 1.93539 | + | 8.47950i | 0.0852008 | + | 0.373289i | ||||
\(517\) | −42.1189 | + | 9.61335i | −1.85238 | + | 0.422795i | ||||
\(518\) | −1.52600 | − | 5.61177i | −0.0670486 | − | 0.246567i | ||||
\(519\) | 3.53910 | − | 15.5058i | 0.155349 | − | 0.680630i | ||||
\(520\) | −6.09028 | − | 0.521666i | −0.267077 | − | 0.0228766i | ||||
\(521\) | 24.3692 | 1.06764 | 0.533818 | − | 0.845599i | \(-0.320757\pi\) | ||||
0.533818 | + | 0.845599i | \(0.320757\pi\) | |||||||
\(522\) | 0.783739 | + | 0.178883i | 0.0343033 | + | 0.00782951i | ||||
\(523\) | −9.74012 | − | 20.2256i | −0.425906 | − | 0.884403i | −0.997939 | − | 0.0641721i | \(-0.979559\pi\) |
0.572033 | − | 0.820231i | \(-0.306155\pi\) | |||||||
\(524\) | −12.3040 | − | 15.4287i | −0.537503 | − | 0.674008i | ||||
\(525\) | 9.10971 | + | 3.36857i | 0.397580 | + | 0.147016i | ||||
\(526\) | −7.47320 | + | 9.37110i | −0.325847 | + | 0.408599i | ||||
\(527\) | −6.81844 | − | 1.55627i | −0.297016 | − | 0.0677920i | ||||
\(528\) | 3.19912 | + | 2.55121i | 0.139224 | + | 0.111027i | ||||
\(529\) | −1.50566 | + | 0.725086i | −0.0654633 | + | 0.0315255i | ||||
\(530\) | −4.06612 | − | 6.10251i | −0.176621 | − | 0.265076i | ||||
\(531\) | −1.43064 | − | 0.688961i | −0.0620845 | − | 0.0298983i | ||||
\(532\) | −1.70368 | + | 9.19063i | −0.0738637 | + | 0.398464i | ||||
\(533\) | −2.88792 | − | 5.99683i | −0.125090 | − | 0.259752i | ||||
\(534\) | 4.46415 | + | 2.14982i | 0.193182 | + | 0.0930318i | ||||
\(535\) | −37.7226 | + | 5.27564i | −1.63089 | + | 0.228086i | ||||
\(536\) | −10.3448 | − | 4.98181i | −0.446828 | − | 0.215181i | ||||
\(537\) | −10.3164 | − | 8.22709i | −0.445187 | − | 0.355025i | ||||
\(538\) | − | 4.40073i | − | 0.189729i | ||||||
\(539\) | −38.8804 | + | 3.20389i | −1.67470 | + | 0.138001i | ||||
\(540\) | −0.765132 | + | 8.93266i | −0.0329260 | + | 0.384401i | ||||
\(541\) | 7.64240 | − | 9.58326i | 0.328572 | − | 0.412017i | −0.589916 | − | 0.807465i | \(-0.700839\pi\) |
0.918488 | + | 0.395448i | \(0.129411\pi\) | |||||||
\(542\) | 4.36606 | − | 9.06621i | 0.187538 | − | 0.389427i | ||||
\(543\) | 1.46068 | − | 0.333391i | 0.0626839 | − | 0.0143072i | ||||
\(544\) | 0.897489 | + | 0.432208i | 0.0384795 | + | 0.0185308i | ||||
\(545\) | −8.86428 | + | 3.37051i | −0.379704 | + | 0.144377i | ||||
\(546\) | −4.28417 | − | 3.13739i | −0.183346 | − | 0.134268i | ||||
\(547\) | 5.15113 | − | 10.6964i | 0.220246 | − | 0.457346i | −0.761343 | − | 0.648349i | \(-0.775460\pi\) |
0.981589 | + | 0.191003i | \(0.0611740\pi\) | |||||||
\(548\) | −16.1099 | + | 12.8472i | −0.688182 | + | 0.548806i | ||||
\(549\) | −1.23926 | + | 0.596797i | −0.0528904 | + | 0.0254707i | ||||
\(550\) | −18.5143 | − | 20.8260i | −0.789453 | − | 0.888025i | ||||
\(551\) | −0.256803 | + | 1.12513i | −0.0109402 | + | 0.0479320i | ||||
\(552\) | 2.65101 | + | 2.11411i | 0.112835 | + | 0.0899827i | ||||
\(553\) | 33.3713 | + | 14.4126i | 1.41909 | + | 0.612888i | ||||
\(554\) | −6.75763 | − | 8.47380i | −0.287104 | − | 0.360017i | ||||
\(555\) | 3.37302 | − | 1.28254i | 0.143177 | − | 0.0544408i | ||||
\(556\) | 2.90351 | − | 12.7211i | 0.123136 | − | 0.539495i | ||||
\(557\) | 19.6367i | 0.832032i | 0.909357 | + | 0.416016i | \(0.136574\pi\) | ||||
−0.909357 | + | 0.416016i | \(0.863426\pi\) | |||||||
\(558\) | 17.2781i | 0.731440i | ||||||||
\(559\) | −7.20598 | + | 31.5715i | −0.304780 | + | 1.33533i | ||||
\(560\) | −5.21119 | − | 2.80062i | −0.220213 | − | 0.118348i | ||||
\(561\) | 0.907000 | + | 3.97382i | 0.0382936 | + | 0.167775i | ||||
\(562\) | 17.9272 | − | 4.09177i | 0.756214 | − | 0.172601i | ||||
\(563\) | −1.31284 | + | 1.04696i | −0.0553297 | + | 0.0441240i | −0.650764 | − | 0.759280i | \(-0.725551\pi\) |
0.595434 | + | 0.803404i | \(0.296980\pi\) | |||||||
\(564\) | −3.54852 | − | 4.44970i | −0.149420 | − | 0.187366i | ||||
\(565\) | 9.87863 | − | 1.38156i | 0.415597 | − | 0.0581228i | ||||
\(566\) | 5.29233 | + | 23.1872i | 0.222453 | + | 0.974631i | ||||
\(567\) | 6.93919 | − | 9.47563i | 0.291419 | − | 0.397939i | ||||
\(568\) | −12.6455 | − | 2.88625i | −0.530593 | − | 0.121104i | ||||
\(569\) | 27.7782 | 1.16452 | 0.582261 | − | 0.813002i | \(-0.302168\pi\) | ||||
0.582261 | + | 0.813002i | \(0.302168\pi\) | |||||||
\(570\) | −5.77890 | − | 0.494995i | −0.242052 | − | 0.0207331i | ||||
\(571\) | 5.92775 | − | 25.9712i | 0.248068 | − | 1.08686i | −0.685391 | − | 0.728175i | \(-0.740369\pi\) |
0.933459 | − | 0.358684i | \(-0.116774\pi\) | |||||||
\(572\) | 6.61020 | + | 13.7262i | 0.276386 | + | 0.573922i | ||||
\(573\) | −7.21618 | + | 5.75471i | −0.301460 | + | 0.240407i | ||||
\(574\) | −0.264750 | − | 6.43657i | −0.0110505 | − | 0.268657i | ||||
\(575\) | −15.3423 | − | 17.2579i | −0.639817 | − | 0.719705i | ||||
\(576\) | 0.547612 | − | 2.39925i | 0.0228172 | − | 0.0999686i | ||||
\(577\) | 36.4881 | + | 29.0983i | 1.51902 | + | 1.21138i | 0.907429 | + | 0.420205i | \(0.138042\pi\) |
0.611591 | + | 0.791174i | \(0.290530\pi\) | |||||||
\(578\) | −6.94549 | − | 14.4224i | −0.288894 | − | 0.599895i | ||||
\(579\) | 7.13057 | + | 8.94146i | 0.296337 | + | 0.371594i | ||||
\(580\) | −0.628651 | − | 0.371932i | −0.0261033 | − | 0.0154436i | ||||
\(581\) | 16.8426 | − | 4.57998i | 0.698749 | − | 0.190010i | ||||
\(582\) | −0.383301 | − | 0.795934i | −0.0158884 | − | 0.0329925i | ||||
\(583\) | −7.93005 | + | 16.4669i | −0.328429 | + | 0.681990i | ||||
\(584\) | −1.68265 | − | 7.37217i | −0.0696285 | − | 0.305063i | ||||
\(585\) | −7.65965 | + | 12.9466i | −0.316688 | + | 0.535275i | ||||
\(586\) | 9.08443 | − | 11.3915i | 0.375274 | − | 0.470579i | ||||
\(587\) | − | 15.1720i | − | 0.626214i | −0.949718 | − | 0.313107i | \(-0.898630\pi\) | ||
0.949718 | − | 0.313107i | \(-0.101370\pi\) | |||||||
\(588\) | −2.60265 | − | 4.43168i | −0.107332 | − | 0.182759i | ||||
\(589\) | −24.8042 | −1.02204 | ||||||||
\(590\) | 1.04713 | + | 0.992552i | 0.0431098 | + | 0.0408627i | ||||
\(591\) | −9.36897 | − | 4.51186i | −0.385388 | − | 0.185593i | ||||
\(592\) | −2.14296 | + | 0.489117i | −0.0880751 | + | 0.0201026i | ||||
\(593\) | −8.60386 | + | 17.8661i | −0.353318 | + | 0.733673i | −0.999566 | − | 0.0294548i | \(-0.990623\pi\) |
0.646248 | + | 0.763128i | \(0.276337\pi\) | |||||||
\(594\) | 20.1324 | − | 9.69524i | 0.826041 | − | 0.397800i | ||||
\(595\) | −2.31912 | − | 5.41773i | −0.0950748 | − | 0.222105i | ||||
\(596\) | 14.3597 | + | 6.91525i | 0.588195 | + | 0.283260i | ||||
\(597\) | −9.27417 | + | 7.39590i | −0.379566 | + | 0.302694i | ||||
\(598\) | 5.47768 | + | 11.3745i | 0.223999 | + | 0.465139i | ||||
\(599\) | 2.86710 | − | 3.59523i | 0.117147 | − | 0.146897i | −0.719800 | − | 0.694181i | \(-0.755767\pi\) |
0.836947 | + | 0.547284i | \(0.184338\pi\) | |||||||
\(600\) | 1.41363 | − | 3.38791i | 0.0577111 | − | 0.138311i | ||||
\(601\) | −24.2725 | + | 30.4367i | −0.990095 | + | 1.24154i | −0.0197522 | + | 0.999805i | \(0.506288\pi\) |
−0.970342 | + | 0.241734i | \(0.922284\pi\) | |||||||
\(602\) | −18.5181 | + | 25.2868i | −0.754739 | + | 1.03061i | ||||
\(603\) | −22.0917 | + | 17.6175i | −0.899643 | + | 0.717442i | ||||
\(604\) | −2.17268 | + | 1.04631i | −0.0884049 | + | 0.0425736i | ||||
\(605\) | −13.6771 | + | 42.7198i | −0.556053 | + | 1.73681i | ||||
\(606\) | −6.50917 | −0.264417 | ||||||||
\(607\) | − | 35.6388i | − | 1.44653i | −0.690569 | − | 0.723266i | \(-0.742640\pi\) | ||
0.690569 | − | 0.723266i | \(-0.257360\pi\) | |||||||
\(608\) | 3.44433 | + | 0.786146i | 0.139686 | + | 0.0318824i | ||||
\(609\) | −0.298581 | − | 0.559906i | −0.0120991 | − | 0.0226885i | ||||
\(610\) | 1.23774 | − | 0.173103i | 0.0501147 | − | 0.00700873i | ||||
\(611\) | −4.71534 | − | 20.6593i | −0.190762 | − | 0.835784i | ||||
\(612\) | 1.91661 | − | 1.52845i | 0.0774746 | − | 0.0617839i | ||||
\(613\) | −19.3723 | + | 15.4489i | −0.782441 | + | 0.623976i | −0.931038 | − | 0.364922i | \(-0.881096\pi\) |
0.148597 | + | 0.988898i | \(0.452524\pi\) | |||||||
\(614\) | 3.50690 | + | 15.3647i | 0.141527 | + | 0.620070i | ||||
\(615\) | 3.95883 | − | 0.553657i | 0.159635 | − | 0.0223256i | ||||
\(616\) | 0.605991 | + | 14.7327i | 0.0244161 | + | 0.593599i | ||||
\(617\) | −25.8637 | − | 5.90323i | −1.04124 | − | 0.237655i | −0.332480 | − | 0.943110i | \(-0.607886\pi\) |
−0.708755 | + | 0.705455i | \(0.750743\pi\) | |||||||
\(618\) | 5.23813i | 0.210709i | ||||||||
\(619\) | −30.2460 | −1.21569 | −0.607845 | − | 0.794056i | \(-0.707966\pi\) | ||||
−0.607845 | + | 0.794056i | \(0.707966\pi\) | |||||||
\(620\) | 4.78689 | − | 14.9516i | 0.192246 | − | 0.600473i | ||||
\(621\) | 16.6831 | − | 8.03416i | 0.669470 | − | 0.322400i | ||||
\(622\) | 8.55228 | − | 6.82021i | 0.342915 | − | 0.273466i | ||||
\(623\) | 4.68518 | + | 17.2294i | 0.187708 | + | 0.690283i | ||||
\(624\) | −1.25137 | + | 1.56916i | −0.0500947 | + | 0.0628168i | ||||
\(625\) | −13.4105 | + | 21.0988i | −0.536418 | + | 0.843952i | ||||
\(626\) | −21.2100 | + | 26.5965i | −0.847721 | + | 1.06301i | ||||
\(627\) | 6.27224 | + | 13.0244i | 0.250489 | + | 0.520146i | ||||
\(628\) | 9.04982 | − | 7.21699i | 0.361127 | − | 0.287989i | ||||
\(629\) | −1.97274 | − | 0.950023i | −0.0786584 | − | 0.0378799i | ||||
\(630\) | −11.7740 | + | 8.56405i | −0.469086 | + | 0.341200i | ||||
\(631\) | −6.82454 | + | 3.28652i | −0.271680 | + | 0.130834i | −0.564764 | − | 0.825252i | \(-0.691033\pi\) |
0.293084 | + | 0.956087i | \(0.405319\pi\) | |||||||
\(632\) | 5.96123 | − | 12.3786i | 0.237125 | − | 0.492395i | ||||
\(633\) | −3.31131 | + | 0.755785i | −0.131613 | + | 0.0300397i | ||||
\(634\) | −5.85879 | − | 2.82144i | −0.232682 | − | 0.112054i | ||||
\(635\) | −7.68920 | − | 7.28841i | −0.305137 | − | 0.289232i | ||||
\(636\) | −2.40778 | −0.0954746 | ||||||||
\(637\) | −1.57151 | − | 19.0708i | −0.0622653 | − | 0.755611i | ||||
\(638\) | 1.82053i | 0.0720756i | ||||||||
\(639\) | −19.9019 | + | 24.9562i | −0.787308 | + | 0.987253i | ||||
\(640\) | −1.13859 | + | 1.92448i | −0.0450067 | + | 0.0760717i | ||||
\(641\) | −8.54823 | − | 37.4523i | −0.337635 | − | 1.47928i | −0.803971 | − | 0.594668i | \(-0.797284\pi\) |
0.466337 | − | 0.884607i | \(-0.345574\pi\) | |||||||
\(642\) | −5.42639 | + | 11.2680i | −0.214163 | + | 0.444713i | ||||
\(643\) | 18.8049 | + | 39.0488i | 0.741593 | + | 1.53993i | 0.838660 | + | 0.544655i | \(0.183339\pi\) |
−0.0970674 | + | 0.995278i | \(0.530946\pi\) | |||||||
\(644\) | 0.502167 | + | 12.2086i | 0.0197881 | + | 0.481086i | ||||
\(645\) | −16.7383 | − | 9.90295i | −0.659069 | − | 0.389928i | ||||
\(646\) | 2.19423 | + | 2.75147i | 0.0863306 | + | 0.108255i | ||||
\(647\) | −3.04483 | − | 6.32265i | −0.119704 | − | 0.248569i | 0.832503 | − | 0.554020i | \(-0.186907\pi\) |
−0.952208 | + | 0.305451i | \(0.901193\pi\) | |||||||
\(648\) | −3.47064 | − | 2.76774i | −0.136339 | − | 0.108727i | ||||
\(649\) | 0.800186 | − | 3.50584i | 0.0314101 | − | 0.137616i | ||||
\(650\) | 10.2151 | − | 9.08126i | 0.400671 | − | 0.356196i | ||||
\(651\) | 10.3043 | − | 8.93432i | 0.403858 | − | 0.350164i | ||||
\(652\) | 2.84371 | − | 2.26778i | 0.111368 | − | 0.0888131i | ||||
\(653\) | −9.21386 | − | 19.1328i | −0.360566 | − | 0.748724i | 0.639228 | − | 0.769018i | \(-0.279254\pi\) |
−0.999794 | + | 0.0202938i | \(0.993540\pi\) | |||||||
\(654\) | −0.692895 | + | 3.03577i | −0.0270944 | + | 0.118708i | ||||
\(655\) | 43.9658 | + | 3.76591i | 1.71789 | + | 0.147146i | ||||
\(656\) | −2.43485 | −0.0950649 | ||||||||
\(657\) | −18.1425 | − | 4.14091i | −0.707807 | − | 0.161552i | ||||
\(658\) | 3.73815 | − | 20.1658i | 0.145728 | − | 0.786144i | ||||
\(659\) | −0.113162 | − | 0.495796i | −0.00440818 | − | 0.0193135i | 0.972676 | − | 0.232167i | \(-0.0745815\pi\) |
−0.977084 | + | 0.212853i | \(0.931724\pi\) | |||||||
\(660\) | −9.06141 | + | 1.26727i | −0.352715 | + | 0.0493285i | ||||
\(661\) | −30.9990 | − | 38.8715i | −1.20572 | − | 1.51193i | −0.802310 | − | 0.596908i | \(-0.796396\pi\) |
−0.403411 | − | 0.915019i | \(-0.632176\pi\) | |||||||
\(662\) | 2.65303 | − | 2.11572i | 0.103113 | − | 0.0822299i | ||||
\(663\) | −1.94916 | + | 0.444882i | −0.0756990 | + | 0.0172778i | ||||
\(664\) | −1.46799 | − | 6.43167i | −0.0569689 | − | 0.249597i | ||||
\(665\) | −12.2944 | − | 16.9026i | −0.476758 | − | 0.655454i | ||||
\(666\) | −1.20369 | + | 5.27371i | −0.0466421 | + | 0.204352i | ||||
\(667\) | 1.50862i | 0.0584141i | ||||||||
\(668\) | − | 12.5876i | − | 0.487030i | ||||||
\(669\) | 3.92139 | − | 17.1807i | 0.151610 | − | 0.664246i | ||||
\(670\) | 23.9980 | − | 9.12488i | 0.927125 | − | 0.352525i | ||||
\(671\) | −1.94215 | − | 2.43538i | −0.0749758 | − | 0.0940166i | ||||
\(672\) | −1.71403 | + | 0.914040i | −0.0661201 | + | 0.0352599i | ||||
\(673\) | 12.0261 | + | 9.59047i | 0.463571 | + | 0.369685i | 0.827245 | − | 0.561841i | \(-0.189907\pi\) |
−0.363675 | + | 0.931526i | \(0.618478\pi\) | |||||||
\(674\) | −3.00624 | + | 13.1712i | −0.115796 | + | 0.507336i | ||||
\(675\) | −13.3195 | − | 14.9826i | −0.512670 | − | 0.576682i | ||||
\(676\) | 4.97990 | − | 2.39819i | 0.191534 | − | 0.0922381i | ||||
\(677\) | 5.09114 | − | 4.06005i | 0.195668 | − | 0.156040i | −0.520755 | − | 0.853706i | \(-0.674349\pi\) |
0.716423 | + | 0.697666i | \(0.245778\pi\) | |||||||
\(678\) | 1.42104 | − | 2.95082i | 0.0545748 | − | 0.113326i | ||||
\(679\) | 1.26221 | − | 2.92255i | 0.0484393 | − | 0.112157i | ||||
\(680\) | −2.08200 | + | 0.791650i | −0.0798412 | + | 0.0303584i | ||||
\(681\) | −14.2480 | − | 6.86146i | −0.545984 | − | 0.262932i | ||||
\(682\) | −38.1476 | + | 8.70695i | −1.46075 | + | 0.333406i | ||||
\(683\) | −1.82596 | + | 3.79164i | −0.0698684 | + | 0.145083i | −0.932978 | − | 0.359933i | \(-0.882799\pi\) |
0.863110 | + | 0.505017i | \(0.168514\pi\) | |||||||
\(684\) | 5.42081 | − | 6.79748i | 0.207270 | − | 0.259908i | ||||
\(685\) | 3.93218 | − | 45.9069i | 0.150241 | − | 1.75401i | ||||
\(686\) | 5.92196 | − | 17.5479i | 0.226102 | − | 0.669984i | ||||
\(687\) | 8.23890i | 0.314334i | ||||||||
\(688\) | 9.26180 | + | 7.38604i | 0.353103 | + | 0.281590i | ||||
\(689\) | −8.07701 | − | 3.88968i | −0.307709 | − | 0.148185i | ||||
\(690\) | −7.50893 | + | 1.05015i | −0.285860 | + | 0.0399786i | ||||
\(691\) | 41.7809 | + | 20.1206i | 1.58942 | + | 0.765425i | 0.999128 | − | 0.0417641i | \(-0.0132978\pi\) |
0.590293 | + | 0.807189i | \(0.299012\pi\) | |||||||
\(692\) | −9.39897 | − | 19.5172i | −0.357295 | − | 0.741931i | ||||
\(693\) | 33.3130 | + | 14.3875i | 1.26546 | + | 0.546535i | ||||
\(694\) | −32.5036 | − | 15.6529i | −1.23382 | − | 0.594176i | ||||
\(695\) | 16.1783 | + | 24.2806i | 0.613676 | + | 0.921015i | ||||
\(696\) | −0.216084 | + | 0.104060i | −0.00819063 | + | 0.00394440i | ||||
\(697\) | −1.89629 | − | 1.51224i | −0.0718271 | − | 0.0572802i | ||||
\(698\) | −1.62139 | − | 0.370071i | −0.0613705 | − | 0.0140074i | ||||
\(699\) | −0.301361 | + | 0.377895i | −0.0113985 | + | 0.0142933i | ||||
\(700\) | 12.5613 | − | 4.14894i | 0.474773 | − | 0.156815i | ||||
\(701\) | 13.8733 | + | 17.3965i | 0.523986 | + | 0.657057i | 0.971450 | − | 0.237245i | \(-0.0762443\pi\) |
−0.447464 | + | 0.894302i | \(0.647673\pi\) | |||||||
\(702\) | 4.75550 | + | 9.87490i | 0.179485 | + | 0.372704i | ||||
\(703\) | −7.57089 | − | 1.72801i | −0.285541 | − | 0.0651729i | ||||
\(704\) | 5.57316 | 0.210046 | ||||||||
\(705\) | 12.6799 | + | 1.08610i | 0.477552 | + | 0.0409050i | ||||
\(706\) | −6.41478 | + | 28.1050i | −0.241423 | + | 1.05774i | ||||
\(707\) | −15.3661 | − | 17.7223i | −0.577901 | − | 0.666517i | ||||
\(708\) | 0.461856 | − | 0.105416i | 0.0173576 | − | 0.00396176i | ||||
\(709\) | 0.490722 | + | 2.15000i | 0.0184295 | + | 0.0807448i | 0.983306 | − | 0.181958i | \(-0.0582434\pi\) |
−0.964877 | + | 0.262702i | \(0.915386\pi\) | |||||||
\(710\) | 24.1363 | − | 16.0821i | 0.905819 | − | 0.603551i | ||||
\(711\) | −21.0812 | − | 26.4349i | −0.790605 | − | 0.991388i | ||||
\(712\) | 6.57939 | − | 1.50170i | 0.246573 | − | 0.0562787i | ||||
\(713\) | −31.6118 | + | 7.21520i | −1.18387 | + | 0.270211i | ||||
\(714\) | −1.90260 | − | 0.352687i | −0.0712030 | − | 0.0131990i | ||||
\(715\) | −32.4442 | − | 10.3873i | −1.21334 | − | 0.388462i | ||||
\(716\) | −17.9722 | −0.671653 | ||||||||
\(717\) | − | 12.8458i | − | 0.479735i | ||||||
\(718\) | 9.22380 | + | 2.10527i | 0.344229 | + | 0.0785681i | ||||
\(719\) | −17.3877 | + | 8.37345i | −0.648450 | + | 0.312277i | −0.729041 | − | 0.684470i | \(-0.760034\pi\) |
0.0805907 | + | 0.996747i | \(0.474319\pi\) | |||||||
\(720\) | 3.05128 | + | 4.57941i | 0.113715 | + | 0.170665i | ||||
\(721\) | −14.2617 | + | 12.3656i | −0.531134 | + | 0.460518i | ||||
\(722\) | −5.09641 | − | 4.06425i | −0.189669 | − | 0.151256i | ||||
\(723\) | 19.1049 | + | 4.36057i | 0.710519 | + | 0.162171i | ||||
\(724\) | 1.27232 | − | 1.59544i | 0.0472855 | − | 0.0592941i | ||||
\(725\) | 1.57064 | − | 0.448083i | 0.0583320 | − | 0.0166414i | ||||
\(726\) | 9.18287 | + | 11.5150i | 0.340808 | + | 0.427360i | ||||
\(727\) | −13.8467 | + | 28.7529i | −0.513545 | + | 1.06639i | 0.469485 | + | 0.882940i | \(0.344440\pi\) |
−0.983030 | + | 0.183446i | \(0.941275\pi\) | |||||||
\(728\) | −7.22639 | + | 0.297238i | −0.267828 | + | 0.0110164i | ||||
\(729\) | −1.88592 | + | 0.908211i | −0.0698489 | + | 0.0336375i | ||||
\(730\) | 14.5524 | + | 8.60973i | 0.538610 | + | 0.318660i | ||||
\(731\) | 2.62587 | + | 11.5047i | 0.0971212 | + | 0.425516i | ||||
\(732\) | 0.178049 | − | 0.369723i | 0.00658088 | − | 0.0136653i | ||||
\(733\) | 17.2995 | + | 13.7959i | 0.638973 | + | 0.509564i | 0.888543 | − | 0.458793i | \(-0.151718\pi\) |
−0.249570 | + | 0.968357i | \(0.580289\pi\) | |||||||
\(734\) | −15.3948 | −0.568231 | ||||||||
\(735\) | 11.1956 | + | 2.59339i | 0.412957 | + | 0.0956586i | ||||
\(736\) | 4.61832 | 0.170233 | ||||||||
\(737\) | −50.0297 | − | 39.8974i | −1.84287 | − | 1.46964i | ||||
\(738\) | −2.59985 | + | 5.39864i | −0.0957018 | + | 0.198727i | ||||
\(739\) | −6.65027 | − | 29.1367i | −0.244634 | − | 1.07181i | −0.936743 | − | 0.350019i | \(-0.886175\pi\) |
0.692109 | − | 0.721793i | \(-0.256682\pi\) | |||||||
\(740\) | 2.50270 | − | 4.23014i | 0.0920010 | − | 0.155503i | ||||
\(741\) | −6.38848 | + | 3.07653i | −0.234687 | + | 0.113019i | ||||
\(742\) | −5.68400 | − | 6.55559i | −0.208666 | − | 0.240663i | ||||
\(743\) | 7.87521 | − | 16.3530i | 0.288913 | − | 0.599935i | −0.705110 | − | 0.709097i | \(-0.749103\pi\) |
0.994024 | + | 0.109163i | \(0.0348169\pi\) | |||||||
\(744\) | −3.21394 | − | 4.03016i | −0.117829 | − | 0.147753i | ||||
\(745\) | −33.3117 | + | 12.6663i | −1.22045 | + | 0.464056i | ||||
\(746\) | 0.817506 | − | 1.02512i | 0.0299310 | − | 0.0375323i | ||||
\(747\) | −15.8280 | − | 3.61264i | −0.579116 | − | 0.132180i | ||||
\(748\) | 4.34044 | + | 3.46139i | 0.158702 | + | 0.126561i | ||||
\(749\) | −43.4891 | + | 11.8259i | −1.58906 | + | 0.432110i | ||||
\(750\) | 3.32358 | + | 7.50568i | 0.121360 | + | 0.274069i | ||||
\(751\) | 38.6788 | − | 18.6267i | 1.41141 | − | 0.679699i | 0.435969 | − | 0.899962i | \(-0.356406\pi\) |
0.975441 | + | 0.220263i | \(0.0706915\pi\) | |||||||
\(752\) | −7.55744 | − | 1.72494i | −0.275592 | − | 0.0629020i | ||||
\(753\) | − | 0.930983i | − | 0.0339269i | ||||||
\(754\) | −0.892969 | −0.0325200 | ||||||||
\(755\) | 1.64416 | − | 5.13548i | 0.0598373 | − | 0.186899i | ||||
\(756\) | 0.435961 | + | 10.5990i | 0.0158557 | + | 0.385482i | ||||
\(757\) | 13.5462 | − | 3.09184i | 0.492346 | − | 0.112375i | 0.0308625 | − | 0.999524i | \(-0.490175\pi\) |
0.461483 | + | 0.887149i | \(0.347317\pi\) | |||||||
\(758\) | 0.376911 | − | 0.0860274i | 0.0136900 | − | 0.00312465i | ||||
\(759\) | 11.7823 | + | 14.7745i | 0.427670 | + | 0.536282i | ||||
\(760\) | −6.57415 | + | 4.38038i | −0.238470 | + | 0.158893i | ||||
\(761\) | 5.97065 | + | 26.1591i | 0.216436 | + | 0.948268i | 0.960087 | + | 0.279701i | \(0.0902352\pi\) |
−0.743651 | + | 0.668568i | \(0.766908\pi\) | |||||||
\(762\) | −3.39145 | + | 0.774077i | −0.122859 | + | 0.0280419i | ||||
\(763\) | −9.90112 | + | 5.27997i | −0.358445 | + | 0.191148i | ||||
\(764\) | −2.79737 | + | 12.2561i | −0.101205 | + | 0.443409i | ||||
\(765\) | −0.467815 | + | 5.46159i | −0.0169139 | + | 0.197464i | ||||
\(766\) | 12.2036 | 0.440933 | ||||||||
\(767\) | 1.71961 | + | 0.392490i | 0.0620916 | + | 0.0141720i | ||||
\(768\) | 0.318558 | + | 0.661493i | 0.0114950 | + | 0.0238696i | ||||
\(769\) | 17.8096 | + | 22.3326i | 0.642232 | + | 0.805334i | 0.991280 | − | 0.131771i | \(-0.0420664\pi\) |
−0.349048 | + | 0.937105i | \(0.613495\pi\) | |||||||
\(770\) | −24.8415 | − | 21.6796i | −0.895225 | − | 0.781279i | ||||
\(771\) | 5.53752 | − | 6.94383i | 0.199429 | − | 0.250076i | ||||
\(772\) | 15.1863 | + | 3.46618i | 0.546567 | + | 0.124750i | ||||
\(773\) | −33.7277 | − | 26.8969i | −1.21310 | − | 0.967416i | −0.213147 | − | 0.977020i | \(-0.568371\pi\) |
−0.999954 | + | 0.00960414i | \(0.996943\pi\) | |||||||
\(774\) | 26.2660 | − | 12.6491i | 0.944113 | − | 0.454661i | ||||
\(775\) | 16.9010 | + | 30.7683i | 0.607101 | + | 1.10523i | ||||
\(776\) | −1.08408 | − | 0.522066i | −0.0389162 | − | 0.0187411i | ||||
\(777\) | 3.76756 | − | 2.00912i | 0.135160 | − | 0.0720769i | ||||
\(778\) | −3.96140 | − | 8.22592i | −0.142023 | − | 0.294914i | ||||
\(779\) | −7.75023 | − | 3.73231i | −0.277681 | − | 0.133724i | ||||
\(780\) | −0.621596 | − | 4.44461i | −0.0222567 | − | 0.159143i | ||||
\(781\) | −65.1291 | − | 31.3645i | −2.33050 | − | 1.12231i | ||||
\(782\) | 3.59680 | + | 2.86835i | 0.128621 | + | 0.102572i | ||||
\(783\) | 1.30972i | 0.0468057i | ||||||||
\(784\) | −6.53491 | − | 2.50898i | −0.233390 | − | 0.0896064i | ||||
\(785\) | −2.20892 | + | 25.7884i | −0.0788396 | + | 0.920427i | ||||
\(786\) | 9.03362 | − | 11.3278i | 0.322219 | − | 0.404049i | ||||
\(787\) | −10.5287 | + | 21.8630i | −0.375306 | + | 0.779332i | −0.999999 | − | 0.00153921i | \(-0.999510\pi\) |
0.624692 | + | 0.780871i | \(0.285224\pi\) | |||||||
\(788\) | −13.8083 | + | 3.15165i | −0.491899 | + | 0.112273i | ||||
\(789\) | −7.92871 | − | 3.81826i | −0.282269 | − | 0.135934i | ||||
\(790\) | 10.9188 | + | 28.7161i | 0.388475 | + | 1.02167i | ||||
\(791\) | 11.3887 | − | 3.09693i | 0.404937 | − | 0.110114i | ||||
\(792\) | 5.95083 | − | 12.3570i | 0.211454 | − | 0.439088i | ||||
\(793\) | 1.19455 | − | 0.952621i | 0.0424197 | − | 0.0338286i | ||||
\(794\) | −31.2637 | + | 15.0558i | −1.10951 | + | 0.534311i | ||||
\(795\) | 3.70383 | − | 3.90750i | 0.131361 | − | 0.138585i | ||||
\(796\) | −3.59515 | + | 15.7514i | −0.127427 | + | 0.558293i | ||||
\(797\) | 36.0879 | + | 28.7792i | 1.27830 | + | 1.01941i | 0.998233 | + | 0.0594294i | \(0.0189281\pi\) |
0.280067 | + | 0.959980i | \(0.409643\pi\) | |||||||
\(798\) | −6.85693 | + | 0.282041i | −0.242733 | + | 0.00998414i | ||||
\(799\) | −4.81450 | − | 6.03719i | −0.170325 | − | 0.213580i | ||||
\(800\) | −1.37171 | − | 4.80816i | −0.0484972 | − | 0.169994i | ||||
\(801\) | 3.69561 | − | 16.1915i | 0.130578 | − | 0.572100i | ||||
\(802\) | 26.9951i | 0.953230i | ||||||||
\(803\) | − | 42.1429i | − | 1.48719i | ||||||
\(804\) | 1.87586 | − | 8.21866i | 0.0661564 | − | 0.289850i | ||||
\(805\) | −20.5854 | − | 17.9653i | −0.725540 | − | 0.633192i | ||||
\(806\) | −4.27075 | − | 18.7114i | −0.150431 | − | 0.659080i | ||||
\(807\) | 3.15002 | − | 0.718971i | 0.110886 | − | 0.0253090i | ||||
\(808\) | −6.93144 | + | 5.52764i | −0.243847 | + | 0.194462i | ||||
\(809\) | 31.3043 | + | 39.2544i | 1.10060 | + | 1.38011i | 0.917838 | + | 0.396955i | \(0.129933\pi\) |
0.182764 | + | 0.983157i | \(0.441496\pi\) | |||||||
\(810\) | 9.83048 | − | 1.37483i | 0.345408 | − | 0.0483066i | ||||
\(811\) | 7.87621 | + | 34.5079i | 0.276571 | + | 1.21174i | 0.902097 | + | 0.431534i | \(0.142028\pi\) |
−0.625525 | + | 0.780204i | \(0.715115\pi\) | |||||||
\(812\) | −0.793427 | − | 0.342671i | −0.0278438 | − | 0.0120254i | ||||
\(813\) | 7.20284 | + | 1.64400i | 0.252615 | + | 0.0576576i | ||||
\(814\) | −12.2502 | −0.429369 | ||||||||
\(815\) | −0.694104 | + | 8.10343i | −0.0243134 | + | 0.283851i | ||||
\(816\) | −0.162744 | + | 0.713029i | −0.00569719 | + | 0.0249610i | ||||
\(817\) | 18.1589 | + | 37.7072i | 0.635298 | + | 1.31921i | ||||
\(818\) | −11.6743 | + | 9.30997i | −0.408184 | + | 0.325516i | ||||
\(819\) | −7.05705 | + | 16.3400i | −0.246593 | + | 0.570966i | ||||
\(820\) | 3.74548 | − | 3.95144i | 0.130798 | − | 0.137990i | ||||
\(821\) | 0.464228 | − | 2.03392i | 0.0162017 | − | 0.0709842i | −0.966181 | − | 0.257866i | \(-0.916981\pi\) |
0.982382 | + | 0.186881i | \(0.0598380\pi\) | |||||||
\(822\) | −11.8279 | − | 9.43246i | −0.412546 | − | 0.328995i | ||||
\(823\) | −10.0034 | − | 20.7723i | −0.348697 | − | 0.724078i | 0.650680 | − | 0.759352i | \(-0.274484\pi\) |
−0.999378 | + | 0.0352742i | \(0.988770\pi\) | |||||||
\(824\) | 4.44826 | + | 5.57795i | 0.154963 | + | 0.194317i | ||||
\(825\) | 11.8824 | − | 16.6549i | 0.413690 | − | 0.579849i | ||||
\(826\) | 1.37731 | + | 1.00863i | 0.0479226 | + | 0.0350947i | ||||
\(827\) | −22.9019 | − | 47.5563i | −0.796378 | − | 1.65369i | −0.756055 | − | 0.654508i | \(-0.772876\pi\) |
−0.0403227 | − | 0.999187i | \(-0.512839\pi\) | |||||||
\(828\) | 4.93128 | − | 10.2399i | 0.171374 | − | 0.355861i | ||||
\(829\) | 1.29276 | + | 5.66394i | 0.0448993 | + | 0.196717i | 0.992403 | − | 0.123027i | \(-0.0392602\pi\) |
−0.947504 | + | 0.319744i | \(0.896403\pi\) | |||||||
\(830\) | 12.6959 | + | 7.51135i | 0.440682 | + | 0.260723i | ||||
\(831\) | 4.96146 | − | 6.22148i | 0.172111 | − | 0.215821i | ||||
\(832\) | 2.73363i | 0.0947716i | ||||||||
\(833\) | −3.53118 | − | 6.01273i | −0.122348 | − | 0.208329i | ||||
\(834\) | 9.58004 | 0.331730 | ||||||||
\(835\) | 20.4281 | + | 19.3633i | 0.706943 | + | 0.670094i | ||||
\(836\) | 17.7396 | + | 8.54295i | 0.613537 | + | 0.295464i | ||||
\(837\) | −27.4441 | + | 6.26394i | −0.948608 | + | 0.216514i | ||||
\(838\) | 12.4619 | − | 25.8774i | 0.430490 | − | 0.893921i | ||||
\(839\) | −13.4270 | + | 6.46611i | −0.463552 | + | 0.223235i | −0.651057 | − | 0.759029i | \(-0.725674\pi\) |
0.187505 | + | 0.982264i | \(0.439960\pi\) | |||||||
\(840\) | 1.15329 | − | 4.18769i | 0.0397922 | − | 0.144489i | ||||
\(841\) | 26.0320 | + | 12.5363i | 0.897654 | + | 0.432287i | ||||
\(842\) | 4.52466 | − | 3.60830i | 0.155930 | − | 0.124350i | ||||
\(843\) | 5.85772 | + | 12.1637i | 0.201751 | + | 0.418940i | ||||
\(844\) | −2.88431 | + | 3.61680i | −0.0992819 | + | 0.124496i | ||||
\(845\) | −3.76852 | + | 11.7708i | −0.129641 | + | 0.404928i | ||||
\(846\) | −11.8942 | + | 14.9148i | −0.408930 | + | 0.512782i | ||||
\(847\) | −9.67360 | + | 52.1851i | −0.332389 | + | 1.79310i | ||||
\(848\) | −2.56398 | + | 2.04470i | −0.0880473 | + | 0.0702154i | ||||
\(849\) | −15.7326 | + | 7.57643i | −0.539942 | + | 0.260022i | ||||
\(850\) | 1.91796 | − | 4.59659i | 0.0657854 | − | 0.157662i | ||||
\(851\) | −10.1514 | −0.347985 | ||||||||
\(852\) | − | 9.52311i | − | 0.326256i | ||||||
\(853\) | −28.9449 | − | 6.60649i | −0.991055 | − | 0.226202i | −0.303893 | − | 0.952706i | \(-0.598287\pi\) |
−0.687162 | + | 0.726504i | \(0.741144\pi\) | |||||||
\(854\) | 1.42695 | − | 0.388029i | 0.0488293 | − | 0.0132781i | ||||
\(855\) | 2.69270 | + | 19.2537i | 0.0920884 | + | 0.658462i | ||||
\(856\) | 3.79047 | + | 16.6071i | 0.129556 | + | 0.567620i | ||||
\(857\) | 11.1040 | − | 8.85513i | 0.379305 | − | 0.302485i | −0.415216 | − | 0.909723i | \(-0.636294\pi\) |
0.794520 | + | 0.607238i | \(0.207722\pi\) | |||||||
\(858\) | −8.74520 | + | 6.97407i | −0.298556 | + | 0.238091i | ||||
\(859\) | −10.0690 | − | 44.1151i | −0.343549 | − | 1.50519i | −0.791523 | − | 0.611140i | \(-0.790711\pi\) |
0.447973 | − | 0.894047i | \(-0.352146\pi\) | |||||||
\(860\) | −26.2338 | + | 3.66890i | −0.894565 | + | 0.125108i | ||||
\(861\) | 4.56400 | − | 1.24108i | 0.155541 | − | 0.0422960i | ||||
\(862\) | −12.8633 | − | 2.93597i | −0.438127 | − | 0.0999996i | ||||
\(863\) | − | 0.127593i | − | 0.00434332i | −0.999998 | − | 0.00217166i | \(-0.999309\pi\) | ||
0.999998 | − | 0.00217166i | \(-0.000691261\pi\) | |||||||
\(864\) | 4.00944 | 0.136404 | ||||||||
\(865\) | 46.1320 | + | 14.7695i | 1.56854 | + | 0.502180i | ||||
\(866\) | 15.9436 | − | 7.67806i | 0.541787 | − | 0.260911i | ||||
\(867\) | 9.18878 | − | 7.32780i | 0.312067 | − | 0.248865i | ||||
\(868\) | 3.38570 | − | 18.2644i | 0.114918 | − | 0.619935i | ||||
\(869\) | 47.7412 | − | 59.8656i | 1.61951 | − | 2.03080i | ||||
\(870\) | 0.163520 | − | 0.510749i | 0.00554386 | − | 0.0173160i | ||||
\(871\) | 19.5696 | − | 24.5395i | 0.663092 | − | 0.831490i | ||||
\(872\) | 1.84016 | + | 3.82112i | 0.0623156 | + | 0.129400i | ||||
\(873\) | −2.31509 | + | 1.84622i | −0.0783538 | + | 0.0624851i | ||||
\(874\) | 14.7003 | + | 7.07929i | 0.497245 | + | 0.239461i | ||||
\(875\) | −12.5896 | + | 26.7676i | −0.425606 | + | 0.904909i | ||||
\(876\) | 5.00205 | − | 2.40886i | 0.169004 | − | 0.0813878i | ||||
\(877\) | −13.0266 | + | 27.0501i | −0.439878 | + | 0.913417i | 0.556696 | + | 0.830716i | \(0.312069\pi\) |
−0.996574 | + | 0.0827007i | \(0.973645\pi\) | |||||||
\(878\) | 18.0279 | − | 4.11475i | 0.608412 | − | 0.138866i | ||||
\(879\) | 9.63814 | + | 4.64148i | 0.325086 | + | 0.156553i | ||||
\(880\) | −8.57307 | + | 9.04451i | −0.288998 | + | 0.304890i | ||||
\(881\) | −54.1411 | −1.82406 | −0.912030 | − | 0.410124i | \(-0.865485\pi\) | ||||
−0.912030 | + | 0.410124i | \(0.865485\pi\) | |||||||
\(882\) | −12.5408 | + | 11.8104i | −0.422269 | + | 0.397678i | ||||
\(883\) | − | 2.41451i | − | 0.0812549i | −0.999174 | − | 0.0406274i | \(-0.987064\pi\) | ||
0.999174 | − | 0.0406274i | \(-0.0129357\pi\) | |||||||
\(884\) | −1.69781 | + | 2.12898i | −0.0571034 | + | 0.0716054i | ||||
\(885\) | −0.539387 | + | 0.911689i | −0.0181313 | + | 0.0306461i | ||||
\(886\) | 1.53577 | + | 6.72863i | 0.0515951 | + | 0.226053i | ||||
\(887\) | 13.3946 | − | 27.8142i | 0.449747 | − | 0.933909i | −0.545645 | − | 0.838017i | \(-0.683715\pi\) |
0.995392 | − | 0.0958924i | \(-0.0305705\pi\) | |||||||
\(888\) | −0.700213 | − | 1.45401i | −0.0234976 | − | 0.0487933i | ||||
\(889\) | −10.1137 | − | 7.40646i | −0.339203 | − | 0.248405i | ||||
\(890\) | −7.68387 | + | 12.9875i | −0.257564 | + | 0.435343i | ||||
\(891\) | −15.4251 | − | 19.3424i | −0.516759 | − | 0.647995i | ||||
\(892\) | −10.4142 | − | 21.6254i | −0.348694 | − | 0.724071i | ||||
\(893\) | −21.4115 | − | 17.0751i | −0.716510 | − | 0.571398i | ||||
\(894\) | −2.60388 | + | 11.4083i | −0.0870867 | + | 0.381552i | ||||
\(895\) | 27.6463 | − | 29.1665i | 0.924113 | − | 0.974929i | ||||
\(896\) | −1.04901 | + | 2.42890i | −0.0350451 | + | 0.0811440i | ||||
\(897\) | −7.24689 | + | 5.77921i | −0.241967 | + | 0.192962i | ||||
\(898\) | 9.05029 | + | 18.7931i | 0.302012 | + | 0.627134i | ||||
\(899\) | 0.510342 | − | 2.23595i | 0.0170208 | − | 0.0745732i | ||||
\(900\) | −12.1255 | − | 2.09258i | −0.404183 | − | 0.0697528i | ||||
\(901\) | −3.26678 | −0.108832 | ||||||||
\(902\) | −13.2296 | − | 3.01957i | −0.440497 | − | 0.100541i | ||||
\(903\) | −21.1255 | − | 9.12386i | −0.703014 | − | 0.303623i | ||||
\(904\) | −0.992633 | − | 4.34901i | −0.0330145 | − | 0.144646i | ||||
\(905\) | 0.632006 | + | 4.51904i | 0.0210086 | + | 0.150218i | ||||
\(906\) | −1.10390 | − | 1.38425i | −0.0366746 | − | 0.0459885i | ||||
\(907\) | −38.2426 | + | 30.4975i | −1.26983 | + | 1.01265i | −0.271082 | + | 0.962556i | \(0.587381\pi\) |
−0.998744 | + | 0.0500960i | \(0.984047\pi\) | |||||||
\(908\) | −20.9991 | + | 4.79291i | −0.696880 | + | 0.159058i | ||||
\(909\) | 4.85494 | + | 21.2709i | 0.161028 | + | 0.705511i | ||||
\(910\) | 10.6338 | − | 12.1847i | 0.352508 | − | 0.403919i | ||||
\(911\) | 10.7920 | − | 47.2827i | 0.357554 | − | 1.56655i | −0.401711 | − | 0.915766i | \(-0.631584\pi\) |
0.759266 | − | 0.650781i | \(-0.225558\pi\) | |||||||
\(912\) | 2.59387i | 0.0858916i | ||||||||
\(913\) | − | 36.7665i | − | 1.21680i | ||||||
\(914\) | −2.84450 | + | 12.4626i | −0.0940878 | + | 0.412226i | ||||
\(915\) | 0.326122 | + | 0.857687i | 0.0107813 | + | 0.0283542i | ||||
\(916\) | 6.99654 | + | 8.77339i | 0.231172 | + | 0.289881i | ||||
\(917\) | 52.1674 | − | 2.14576i | 1.72272 | − | 0.0708593i | ||||
\(918\) | 3.12260 | + | 2.49019i | 0.103061 | + | 0.0821884i | ||||
\(919\) | −2.48264 | + | 10.8771i | −0.0818946 | + | 0.358804i | −0.999227 | − | 0.0393191i | \(-0.987481\pi\) |
0.917332 | + | 0.398123i | \(0.130338\pi\) | |||||||
\(920\) | −7.10426 | + | 7.49492i | −0.234220 | + | 0.247100i | ||||
\(921\) | −10.4250 | + | 5.02043i | −0.343516 | + | 0.165429i | ||||
\(922\) | −27.2200 | + | 21.7072i | −0.896442 | + | 0.714889i | ||||
\(923\) | 15.3843 | − | 31.9457i | 0.506379 | − | 1.05151i | ||||
\(924\) | −10.4466 | + | 2.84073i | −0.343668 | + | 0.0934531i | ||||
\(925\) | 3.01511 | + | 10.5687i | 0.0991363 | + | 0.347496i | ||||
\(926\) | 32.0705 | + | 15.4443i | 1.05390 | + | 0.507532i | ||||
\(927\) | 17.1173 | − | 3.90692i | 0.562207 | − | 0.128320i | ||||
\(928\) | −0.141733 | + | 0.294311i | −0.00465260 | + | 0.00966123i | ||||
\(929\) | −1.17329 | + | 1.47126i | −0.0384944 | + | 0.0482705i | −0.800706 | − | 0.599057i | \(-0.795542\pi\) |
0.762212 | + | 0.647328i | \(0.224114\pi\) | |||||||
\(930\) | 11.4844 | + | 0.983698i | 0.376587 | + | 0.0322567i | ||||
\(931\) | −16.9549 | − | 18.0034i | −0.555676 | − | 0.590036i | ||||
\(932\) | 0.658329i | 0.0215643i | ||||||||
\(933\) | 6.27910 | + | 5.00741i | 0.205568 | + | 0.163935i | ||||
\(934\) | 23.3873 | + | 11.2627i | 0.765256 | + | 0.368528i | ||||
\(935\) | −12.2942 | + | 1.71939i | −0.402063 | + | 0.0562300i | ||||
\(936\) | 6.06111 | + | 2.91888i | 0.198113 | + | 0.0954064i | ||||
\(937\) | −3.69608 | − | 7.67499i | −0.120746 | − | 0.250731i | 0.831831 | − | 0.555028i | \(-0.187293\pi\) |
−0.952577 | + | 0.304297i | \(0.901578\pi\) | |||||||
\(938\) | 26.8050 | − | 14.2943i | 0.875215 | − | 0.466726i | ||||
\(939\) | −22.5028 | − | 10.8368i | −0.734350 | − | 0.353644i | ||||
\(940\) | 14.4248 | − | 9.61130i | 0.470485 | − | 0.313486i | ||||
\(941\) | −11.0616 | + | 5.32699i | −0.360598 | + | 0.173655i | −0.605406 | − | 0.795917i | \(-0.706989\pi\) |
0.244808 | + | 0.969572i | \(0.421275\pi\) | |||||||
\(942\) | 6.64439 | + | 5.29872i | 0.216486 | + | 0.172642i | ||||
\(943\) | −10.9630 | − | 2.50223i | −0.357004 | − | 0.0814838i | ||||
\(944\) | 0.402298 | − | 0.504466i | 0.0130937 | − | 0.0164190i | ||||
\(945\) | −17.8714 | − | 15.5967i | −0.581357 | − | 0.507361i | ||||
\(946\) | 41.1636 | + | 51.6175i | 1.33834 | + | 1.67823i | ||||
\(947\) | 9.99038 | + | 20.7452i | 0.324644 | + | 0.674130i | 0.997865 | − | 0.0653114i | \(-0.0208041\pi\) |
−0.673221 | + | 0.739441i | \(0.735090\pi\) | |||||||
\(948\) | 9.83446 | + | 2.24465i | 0.319408 | + | 0.0729029i | ||||
\(949\) | 20.6711 | 0.671011 | ||||||||
\(950\) | 3.00409 | − | 17.4072i | 0.0974656 | − | 0.564765i | ||||
\(951\) | 1.06239 | − | 4.65464i | 0.0344504 | − | 0.150937i | ||||
\(952\) | −2.32553 | + | 1.24014i | −0.0753709 | + | 0.0401930i | ||||
\(953\) | −37.5065 | + | 8.56061i | −1.21495 | + | 0.277305i | −0.781520 | − | 0.623880i | \(-0.785556\pi\) |
−0.433434 | + | 0.901185i | \(0.642698\pi\) | |||||||
\(954\) | 1.79587 | + | 7.86821i | 0.0581434 | + | 0.254743i | ||||
\(955\) | −15.5869 | − | 23.3930i | −0.504379 | − | 0.756980i | ||||
\(956\) | −10.9087 | − | 13.6791i | −0.352814 | − | 0.442415i | ||||
\(957\) | −1.30313 | + | 0.297430i | −0.0421241 | + | 0.00961454i | ||||
\(958\) | −30.9829 | + | 7.07164i | −1.00101 | + | 0.228474i | ||||
\(959\) | −2.24050 | − | 54.4706i | −0.0723494 | − | 1.75895i | ||||
\(960\) | −1.56355 | − | 0.500582i | −0.0504632 | − | 0.0161562i | ||||
\(961\) | 18.2932 | 0.590103 | ||||||||
\(962\) | − | 6.00871i | − | 0.193729i | ||||||
\(963\) | 40.8693 | + | 9.32815i | 1.31700 | + | 0.300596i | ||||
\(964\) | 24.0473 | − | 11.5806i | 0.774513 | − | 0.372986i | ||||
\(965\) | −28.9859 | + | 19.3134i | −0.933090 | + | 0.621721i | ||||
\(966\) | −8.65679 | + | 2.35403i | −0.278528 | + | 0.0757397i | ||||
\(967\) | 33.6536 | + | 26.8378i | 1.08223 | + | 0.863046i | 0.991143 | − | 0.132797i | \(-0.0423958\pi\) |
0.0910828 | + | 0.995843i | \(0.470967\pi\) | |||||||
\(968\) | 19.5572 | + | 4.46380i | 0.628592 | + | 0.143472i | ||||
\(969\) | −1.61100 | + | 2.02013i | −0.0517529 | + | 0.0648961i | ||||
\(970\) | 2.51486 | − | 0.956237i | 0.0807473 | − | 0.0307029i | ||||
\(971\) | −25.6222 | − | 32.1292i | −0.822256 | − | 1.03108i | −0.998904 | − | 0.0468018i | \(-0.985097\pi\) |
0.176649 | − | 0.984274i | \(-0.443474\pi\) | |||||||
\(972\) | 6.63300 | − | 13.7736i | 0.212754 | − | 0.441788i | ||||
\(973\) | 22.6154 | + | 26.0833i | 0.725018 | + | 0.836192i | ||||
\(974\) | 33.9647 | − | 16.3565i | 1.08830 | − | 0.524097i | ||||
\(975\) | 8.16921 | + | 5.82828i | 0.261624 | + | 0.186654i | ||||
\(976\) | −0.124372 | − | 0.544909i | −0.00398104 | − | 0.0174421i | ||||
\(977\) | 19.7778 | − | 41.0690i | 0.632747 | − | 1.31391i | −0.300192 | − | 0.953879i | \(-0.597051\pi\) |
0.932939 | − | 0.360034i | \(-0.117235\pi\) | |||||||
\(978\) | 2.08785 | + | 1.66501i | 0.0667622 | + | 0.0532411i | ||||
\(979\) | 37.6110 | 1.20205 | ||||||||
\(980\) | 14.1242 | − | 6.74579i | 0.451183 | − | 0.215486i | ||||
\(981\) | 10.4372 | 0.333234 | ||||||||
\(982\) | 28.5389 | + | 22.7590i | 0.910712 | + | 0.726269i | ||||
\(983\) | 7.76684 | − | 16.1280i | 0.247724 | − | 0.514404i | −0.739615 | − | 0.673030i | \(-0.764992\pi\) |
0.987339 | + | 0.158627i | \(0.0507066\pi\) | |||||||
\(984\) | −0.397794 | − | 1.74285i | −0.0126812 | − | 0.0555600i | ||||
\(985\) | 16.1262 | − | 27.2571i | 0.513825 | − | 0.868483i | ||||
\(986\) | −0.293174 | + | 0.141185i | −0.00933657 | + | 0.00449625i | ||||
\(987\) | 15.0453 | − | 0.618845i | 0.478896 | − | 0.0196981i | ||||
\(988\) | −4.19031 | + | 8.70126i | −0.133311 | + | 0.276824i | ||||
\(989\) | 34.1111 | + | 42.7739i | 1.08467 | + | 1.36013i | ||||
\(990\) | 10.8998 | + | 28.6660i | 0.346418 | + | 0.911064i | ||||
\(991\) | 8.56930 | − | 10.7456i | 0.272213 | − | 0.341344i | −0.626869 | − | 0.779125i | \(-0.715664\pi\) |
0.899082 | + | 0.437781i | \(0.144235\pi\) | |||||||
\(992\) | −6.84488 | − | 1.56230i | −0.217325 | − | 0.0496031i | ||||
\(993\) | 1.94786 | + | 1.55337i | 0.0618135 | + | 0.0492946i | ||||
\(994\) | 25.9283 | − | 22.4810i | 0.822395 | − | 0.713055i | ||||
\(995\) | −20.0321 | − | 30.0645i | −0.635060 | − | 0.953108i | ||||
\(996\) | 4.36391 | − | 2.10155i | 0.138276 | − | 0.0665902i | ||||
\(997\) | 39.0676 | + | 8.91691i | 1.23728 | + | 0.282401i | 0.790623 | − | 0.612303i | \(-0.209757\pi\) |
0.446659 | + | 0.894704i | \(0.352614\pi\) | |||||||
\(998\) | 24.0192i | 0.760315i | ||||||||
\(999\) | −8.81302 | −0.278832 |
(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 | 490.2.p.a.239.19 | yes | 168 | |
5.4 | even | 2 | inner | 490.2.p.a.239.10 | ✓ | 168 | |
49.8 | even | 7 | inner | 490.2.p.a.449.10 | yes | 168 | |
245.204 | even | 14 | inner | 490.2.p.a.449.19 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
490.2.p.a.239.10 | ✓ | 168 | 5.4 | even | 2 | inner | |
490.2.p.a.239.19 | yes | 168 | 1.1 | even | 1 | trivial | |
490.2.p.a.449.10 | yes | 168 | 49.8 | even | 7 | inner | |
490.2.p.a.449.19 | yes | 168 | 245.204 | even | 14 | inner |