Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(67,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.br (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 107.35 | ||
Character | \(\chi\) | \(=\) | 280.107 |
Dual form | 280.2.br.a.123.35 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.05438 | − | 0.942490i | 0.745558 | − | 0.666441i | ||||
\(3\) | −1.63560 | − | 0.438259i | −0.944317 | − | 0.253029i | −0.246368 | − | 0.969176i | \(-0.579237\pi\) |
−0.697949 | + | 0.716148i | \(0.745904\pi\) | |||||||
\(4\) | 0.223426 | − | 1.98748i | 0.111713 | − | 0.993740i | ||||
\(5\) | 1.55370 | − | 1.60811i | 0.694836 | − | 0.719168i | ||||
\(6\) | −2.13760 | + | 1.07945i | −0.872672 | + | 0.440684i | ||||
\(7\) | −2.49314 | − | 0.885584i | −0.942318 | − | 0.334719i | ||||
\(8\) | −1.63760 | − | 2.30613i | −0.578981 | − | 0.815341i | ||||
\(9\) | −0.114945 | − | 0.0663635i | −0.0383150 | − | 0.0221212i | ||||
\(10\) | 0.122561 | − | 3.15990i | 0.0387572 | − | 0.999249i | ||||
\(11\) | 2.94194 | + | 5.09559i | 0.887029 | + | 1.53638i | 0.843371 | + | 0.537332i | \(0.180568\pi\) |
0.0436583 | + | 0.999047i | \(0.486099\pi\) | |||||||
\(12\) | −1.23647 | + | 3.15281i | −0.356938 | + | 0.910139i | ||||
\(13\) | −1.49331 | − | 1.49331i | −0.414169 | − | 0.414169i | 0.469019 | − | 0.883188i | \(-0.344608\pi\) |
−0.883188 | + | 0.469019i | \(0.844608\pi\) | |||||||
\(14\) | −3.46336 | + | 1.41602i | −0.925623 | + | 0.378446i | ||||
\(15\) | −3.24601 | + | 1.94931i | −0.838115 | + | 0.503309i | ||||
\(16\) | −3.90016 | − | 0.888111i | −0.975040 | − | 0.222028i | ||||
\(17\) | 1.45569 | − | 5.43270i | 0.353056 | − | 1.31762i | −0.529857 | − | 0.848087i | \(-0.677754\pi\) |
0.882913 | − | 0.469536i | \(-0.155579\pi\) | |||||||
\(18\) | −0.183742 | + | 0.0383622i | −0.0433085 | + | 0.00904206i | ||||
\(19\) | −3.10041 | − | 1.79002i | −0.711282 | − | 0.410659i | 0.100253 | − | 0.994962i | \(-0.468035\pi\) |
−0.811536 | + | 0.584303i | \(0.801368\pi\) | |||||||
\(20\) | −2.84895 | − | 3.44724i | −0.637044 | − | 0.770827i | ||||
\(21\) | 3.68967 | + | 2.54111i | 0.805153 | + | 0.554515i | ||||
\(22\) | 7.90446 | + | 2.59993i | 1.68524 | + | 0.554307i | ||||
\(23\) | 2.49897 | − | 0.669597i | 0.521071 | − | 0.139621i | 0.0113092 | − | 0.999936i | \(-0.496400\pi\) |
0.509762 | + | 0.860315i | \(0.329733\pi\) | |||||||
\(24\) | 1.66779 | + | 4.48962i | 0.340436 | + | 0.916439i | ||||
\(25\) | −0.172032 | − | 4.99704i | −0.0344063 | − | 0.999408i | ||||
\(26\) | −2.98194 | − | 0.167084i | −0.584807 | − | 0.0327679i | ||||
\(27\) | 3.75096 | + | 3.75096i | 0.721872 | + | 0.721872i | ||||
\(28\) | −2.31712 | + | 4.75720i | −0.437894 | + | 0.899027i | ||||
\(29\) | 6.02158 | 1.11818 | 0.559090 | − | 0.829107i | \(-0.311151\pi\) | ||||
0.559090 | + | 0.829107i | \(0.311151\pi\) | |||||||
\(30\) | −1.58532 | + | 5.11464i | −0.289438 | + | 0.933801i | ||||
\(31\) | 1.05541 | − | 0.609340i | 0.189557 | − | 0.109441i | −0.402218 | − | 0.915544i | \(-0.631761\pi\) |
0.591775 | + | 0.806103i | \(0.298427\pi\) | |||||||
\(32\) | −4.94928 | + | 2.73946i | −0.874917 | + | 0.484272i | ||||
\(33\) | −2.57866 | − | 9.62371i | −0.448888 | − | 1.67527i | ||||
\(34\) | −3.58542 | − | 7.10009i | −0.614894 | − | 1.21766i | ||||
\(35\) | −5.29771 | + | 2.63331i | −0.895476 | + | 0.445110i | ||||
\(36\) | −0.157578 | + | 0.213623i | −0.0262630 | + | 0.0356039i | ||||
\(37\) | 2.68783 | + | 10.0311i | 0.441876 | + | 1.64910i | 0.724055 | + | 0.689742i | \(0.242276\pi\) |
−0.282180 | + | 0.959362i | \(0.591057\pi\) | |||||||
\(38\) | −4.95608 | + | 1.03474i | −0.803982 | + | 0.167857i | ||||
\(39\) | 1.78801 | + | 3.09692i | 0.286310 | + | 0.495904i | ||||
\(40\) | −6.25286 | − | 0.949593i | −0.988664 | − | 0.150144i | ||||
\(41\) | 2.44353 | 0.381615 | 0.190807 | − | 0.981627i | \(-0.438889\pi\) | ||||
0.190807 | + | 0.981627i | \(0.438889\pi\) | |||||||
\(42\) | 6.28528 | − | 0.798193i | 0.969839 | − | 0.123164i | ||||
\(43\) | 7.70492 | − | 7.70492i | 1.17499 | − | 1.17499i | 0.193985 | − | 0.981005i | \(-0.437859\pi\) |
0.981005 | − | 0.193985i | \(-0.0621412\pi\) | |||||||
\(44\) | 10.7847 | − | 4.70856i | 1.62585 | − | 0.709843i | ||||
\(45\) | −0.285310 | + | 0.0817351i | −0.0425315 | + | 0.0121843i | ||||
\(46\) | 2.00377 | − | 3.06126i | 0.295440 | − | 0.451358i | ||||
\(47\) | −1.11455 | − | 4.15954i | −0.162573 | − | 0.606732i | −0.998337 | − | 0.0576429i | \(-0.981642\pi\) |
0.835764 | − | 0.549089i | \(-0.185025\pi\) | |||||||
\(48\) | 5.98990 | + | 3.16188i | 0.864567 | + | 0.456378i | ||||
\(49\) | 5.43148 | + | 4.41577i | 0.775926 | + | 0.630824i | ||||
\(50\) | −4.89104 | − | 5.10663i | −0.691698 | − | 0.722187i | ||||
\(51\) | −4.76186 | + | 8.24778i | −0.666793 | + | 1.15492i | ||||
\(52\) | −3.30157 | + | 2.63428i | −0.457845 | + | 0.365309i | ||||
\(53\) | −1.25540 | + | 4.68522i | −0.172442 | + | 0.643564i | 0.824531 | + | 0.565817i | \(0.191439\pi\) |
−0.996973 | + | 0.0777467i | \(0.975227\pi\) | |||||||
\(54\) | 7.49016 | + | 0.419689i | 1.01928 | + | 0.0571124i | ||||
\(55\) | 12.7652 | + | 3.18606i | 1.72125 | + | 0.429608i | ||||
\(56\) | 2.04050 | + | 7.19975i | 0.272673 | + | 0.962107i | ||||
\(57\) | 4.28655 | + | 4.28655i | 0.567767 | + | 0.567767i | ||||
\(58\) | 6.34902 | − | 5.67528i | 0.833668 | − | 0.745201i | ||||
\(59\) | −2.51456 | + | 1.45178i | −0.327368 | + | 0.189006i | −0.654672 | − | 0.755913i | \(-0.727193\pi\) |
0.327304 | + | 0.944919i | \(0.393860\pi\) | |||||||
\(60\) | 3.14897 | + | 6.88690i | 0.406530 | + | 0.889096i | ||||
\(61\) | 6.34457 | + | 3.66304i | 0.812339 | + | 0.469004i | 0.847768 | − | 0.530368i | \(-0.177946\pi\) |
−0.0354283 | + | 0.999372i | \(0.511280\pi\) | |||||||
\(62\) | 0.538502 | − | 1.63719i | 0.0683899 | − | 0.207923i | ||||
\(63\) | 0.227803 | + | 0.267247i | 0.0287005 | + | 0.0336699i | ||||
\(64\) | −2.63650 | + | 7.55307i | −0.329563 | + | 0.944134i | ||||
\(65\) | −4.72156 | + | 0.0812498i | −0.585637 | + | 0.0100778i | ||||
\(66\) | −11.7891 | − | 7.71666i | −1.45114 | − | 0.949855i | ||||
\(67\) | 2.21674 | − | 8.27299i | 0.270818 | − | 1.01071i | −0.687775 | − | 0.725924i | \(-0.741412\pi\) |
0.958592 | − | 0.284782i | \(-0.0919211\pi\) | |||||||
\(68\) | −10.4721 | − | 4.10696i | −1.26993 | − | 0.498042i | ||||
\(69\) | −4.38078 | −0.527384 | ||||||||
\(70\) | −3.10392 | + | 7.76954i | −0.370989 | + | 0.928637i | ||||
\(71\) | − | 2.68611i | − | 0.318782i | −0.987216 | − | 0.159391i | \(-0.949047\pi\) | ||
0.987216 | − | 0.159391i | \(-0.0509531\pi\) | |||||||
\(72\) | 0.0351913 | + | 0.373755i | 0.00414733 | + | 0.0440475i | ||||
\(73\) | −1.49608 | − | 0.400874i | −0.175103 | − | 0.0469188i | 0.170202 | − | 0.985409i | \(-0.445558\pi\) |
−0.345305 | + | 0.938490i | \(0.612225\pi\) | |||||||
\(74\) | 12.2882 | + | 8.04333i | 1.42847 | + | 0.935018i | ||||
\(75\) | −1.90862 | + | 8.24858i | −0.220389 | + | 0.952463i | ||||
\(76\) | −4.25035 | + | 5.76206i | −0.487548 | + | 0.660954i | ||||
\(77\) | −2.82209 | − | 15.3094i | −0.321607 | − | 1.74466i | ||||
\(78\) | 4.80405 | + | 1.58015i | 0.543952 | + | 0.178916i | ||||
\(79\) | −1.03331 | + | 1.78974i | −0.116256 | + | 0.201361i | −0.918281 | − | 0.395929i | \(-0.870423\pi\) |
0.802025 | + | 0.597290i | \(0.203756\pi\) | |||||||
\(80\) | −7.48786 | + | 4.89203i | −0.837168 | + | 0.546945i | ||||
\(81\) | −4.29210 | − | 7.43414i | −0.476900 | − | 0.826015i | ||||
\(82\) | 2.57640 | − | 2.30300i | 0.284516 | − | 0.254324i | ||||
\(83\) | −0.700162 | + | 0.700162i | −0.0768527 | + | 0.0768527i | −0.744488 | − | 0.667636i | \(-0.767306\pi\) |
0.667636 | + | 0.744488i | \(0.267306\pi\) | |||||||
\(84\) | 5.87477 | − | 6.76541i | 0.640990 | − | 0.738166i | ||||
\(85\) | −6.47467 | − | 10.7817i | −0.702277 | − | 1.16944i | ||||
\(86\) | 0.862091 | − | 15.3857i | 0.0929617 | − | 1.65908i | ||||
\(87\) | −9.84893 | − | 2.63901i | −1.05592 | − | 0.282932i | ||||
\(88\) | 6.93338 | − | 15.1291i | 0.739101 | − | 1.61276i | ||||
\(89\) | 3.21668 | + | 1.85715i | 0.340968 | + | 0.196858i | 0.660700 | − | 0.750650i | \(-0.270260\pi\) |
−0.319732 | + | 0.947508i | \(0.603593\pi\) | |||||||
\(90\) | −0.223790 | + | 0.355081i | −0.0235895 | + | 0.0374288i | ||||
\(91\) | 2.40058 | + | 5.04548i | 0.251649 | + | 0.528910i | ||||
\(92\) | −0.772475 | − | 5.11626i | −0.0805361 | − | 0.533407i | ||||
\(93\) | −1.99328 | + | 0.534098i | −0.206693 | + | 0.0553833i | ||||
\(94\) | −5.09548 | − | 3.33528i | −0.525559 | − | 0.344008i | ||||
\(95\) | −7.69565 | + | 2.20464i | −0.789557 | + | 0.226191i | ||||
\(96\) | 9.29566 | − | 2.31160i | 0.948734 | − | 0.235927i | ||||
\(97\) | 2.71232 | + | 2.71232i | 0.275394 | + | 0.275394i | 0.831267 | − | 0.555873i | \(-0.187616\pi\) |
−0.555873 | + | 0.831267i | \(0.687616\pi\) | |||||||
\(98\) | 9.88865 | − | 0.463224i | 0.998905 | − | 0.0467927i | ||||
\(99\) | − | 0.780950i | − | 0.0784884i | ||||||
\(100\) | −9.96996 | − | 0.774561i | −0.996996 | − | 0.0774561i | ||||
\(101\) | −2.82950 | + | 1.63361i | −0.281546 | + | 0.162550i | −0.634123 | − | 0.773232i | \(-0.718639\pi\) |
0.352577 | + | 0.935783i | \(0.385305\pi\) | |||||||
\(102\) | 2.75265 | + | 13.1843i | 0.272553 | + | 1.30544i | ||||
\(103\) | −16.2958 | + | 4.36644i | −1.60567 | + | 0.430238i | −0.946749 | − | 0.321973i | \(-0.895654\pi\) |
−0.658922 | + | 0.752211i | \(0.728987\pi\) | |||||||
\(104\) | −0.998321 | + | 5.88922i | −0.0978934 | + | 0.577486i | ||||
\(105\) | 9.81902 | − | 1.98528i | 0.958239 | − | 0.193744i | ||||
\(106\) | 3.09210 | + | 6.12319i | 0.300331 | + | 0.594737i | ||||
\(107\) | −11.8115 | + | 3.16489i | −1.14186 | + | 0.305962i | −0.779700 | − | 0.626153i | \(-0.784629\pi\) |
−0.362164 | + | 0.932114i | \(0.617962\pi\) | |||||||
\(108\) | 8.29302 | − | 6.61689i | 0.797996 | − | 0.636711i | ||||
\(109\) | −0.360683 | − | 0.624720i | −0.0345471 | − | 0.0598374i | 0.848235 | − | 0.529620i | \(-0.177666\pi\) |
−0.882782 | + | 0.469783i | \(0.844332\pi\) | |||||||
\(110\) | 16.4621 | − | 8.67173i | 1.56960 | − | 0.826817i | ||||
\(111\) | − | 17.5849i | − | 1.66908i | ||||||
\(112\) | 8.93715 | + | 5.66811i | 0.844481 | + | 0.535586i | ||||
\(113\) | −2.98437 | + | 2.98437i | −0.280746 | + | 0.280746i | −0.833406 | − | 0.552661i | \(-0.813613\pi\) |
0.552661 | + | 0.833406i | \(0.313613\pi\) | |||||||
\(114\) | 8.55967 | + | 0.479615i | 0.801687 | + | 0.0449201i | ||||
\(115\) | 2.80586 | − | 5.05897i | 0.261648 | − | 0.471751i | ||||
\(116\) | 1.34538 | − | 11.9678i | 0.124915 | − | 1.11118i | ||||
\(117\) | 0.0725471 | + | 0.270749i | 0.00670698 | + | 0.0250308i | ||||
\(118\) | −1.28301 | + | 3.90067i | −0.118110 | + | 0.359086i | ||||
\(119\) | −8.44034 | + | 12.2553i | −0.773725 | + | 1.12344i | ||||
\(120\) | 9.81104 | + | 4.29353i | 0.895621 | + | 0.391944i | ||||
\(121\) | −11.8100 | + | 20.4556i | −1.07364 | + | 1.85960i | ||||
\(122\) | 10.1420 | − | 2.11746i | 0.918210 | − | 0.191706i | ||||
\(123\) | −3.99664 | − | 1.07090i | −0.360365 | − | 0.0965596i | ||||
\(124\) | −0.975246 | − | 2.23375i | −0.0875797 | − | 0.200596i | ||||
\(125\) | −8.30307 | − | 7.48726i | −0.742649 | − | 0.669680i | ||||
\(126\) | 0.492068 | + | 0.0670770i | 0.0438369 | + | 0.00597570i | ||||
\(127\) | −6.20663 | + | 6.20663i | −0.550749 | + | 0.550749i | −0.926657 | − | 0.375908i | \(-0.877331\pi\) |
0.375908 | + | 0.926657i | \(0.377331\pi\) | |||||||
\(128\) | 4.33882 | + | 10.4487i | 0.383501 | + | 0.923540i | ||||
\(129\) | −15.9790 | + | 9.22545i | −1.40687 | + | 0.812256i | ||||
\(130\) | −4.90173 | + | 4.53569i | −0.429910 | + | 0.397806i | ||||
\(131\) | 5.00092 | − | 8.66185i | 0.436933 | − | 0.756790i | −0.560518 | − | 0.828142i | \(-0.689398\pi\) |
0.997451 | + | 0.0713522i | \(0.0227314\pi\) | |||||||
\(132\) | −19.7031 | + | 2.97486i | −1.71493 | + | 0.258928i | ||||
\(133\) | 6.14453 | + | 7.20844i | 0.532798 | + | 0.625051i | ||||
\(134\) | −5.45992 | − | 10.8121i | −0.471665 | − | 0.934024i | ||||
\(135\) | 11.8598 | − | 0.204087i | 1.02073 | − | 0.0175650i | ||||
\(136\) | −14.9124 | + | 5.53960i | −1.27873 | + | 0.475017i | ||||
\(137\) | −0.151978 | + | 0.567191i | −0.0129844 | + | 0.0484584i | −0.972114 | − | 0.234508i | \(-0.924652\pi\) |
0.959130 | + | 0.282967i | \(0.0913186\pi\) | |||||||
\(138\) | −4.61900 | + | 4.12884i | −0.393196 | + | 0.351470i | ||||
\(139\) | 12.9871i | 1.10155i | 0.834653 | + | 0.550776i | \(0.185668\pi\) | ||||
−0.834653 | + | 0.550776i | \(0.814332\pi\) | |||||||
\(140\) | 4.05000 | + | 11.1174i | 0.342288 | + | 0.939595i | ||||
\(141\) | 7.29183i | 0.614083i | ||||||||
\(142\) | −2.53163 | − | 2.83217i | −0.212449 | − | 0.237670i | ||||
\(143\) | 3.21607 | − | 12.0025i | 0.268941 | − | 1.00370i | ||||
\(144\) | 0.389366 | + | 0.360912i | 0.0324471 | + | 0.0300760i | ||||
\(145\) | 9.35573 | − | 9.68336i | 0.776951 | − | 0.804159i | ||||
\(146\) | −1.95526 | + | 0.987369i | −0.161818 | + | 0.0817153i | ||||
\(147\) | −6.94850 | − | 9.60285i | −0.573103 | − | 0.792029i | ||||
\(148\) | 20.5372 | − | 3.10079i | 1.68814 | − | 0.254883i | ||||
\(149\) | −0.871704 | + | 1.50983i | −0.0714127 | + | 0.123690i | −0.899521 | − | 0.436878i | \(-0.856084\pi\) |
0.828108 | + | 0.560569i | \(0.189417\pi\) | |||||||
\(150\) | 5.76179 | + | 10.4960i | 0.470448 | + | 0.856993i | ||||
\(151\) | 13.5367 | − | 7.81542i | 1.10160 | − | 0.636010i | 0.164960 | − | 0.986300i | \(-0.447250\pi\) |
0.936641 | + | 0.350290i | \(0.113917\pi\) | |||||||
\(152\) | 0.949214 | + | 10.0813i | 0.0769914 | + | 0.817701i | ||||
\(153\) | −0.527857 | + | 0.527857i | −0.0426747 | + | 0.0426747i | ||||
\(154\) | −17.4045 | − | 13.4821i | −1.40249 | − | 1.08642i | ||||
\(155\) | 0.659902 | − | 2.64394i | 0.0530046 | − | 0.212367i | ||||
\(156\) | 6.55456 | − | 2.86170i | 0.524784 | − | 0.229119i | ||||
\(157\) | 23.1559 | + | 6.20461i | 1.84804 | + | 0.495181i | 0.999428 | − | 0.0338301i | \(-0.0107705\pi\) |
0.848615 | + | 0.529012i | \(0.177437\pi\) | |||||||
\(158\) | 0.597315 | + | 2.86094i | 0.0475199 | + | 0.227604i | ||||
\(159\) | 4.10667 | − | 7.11297i | 0.325681 | − | 0.564095i | ||||
\(160\) | −3.28435 | + | 12.2153i | −0.259651 | + | 0.965703i | ||||
\(161\) | −6.82326 | − | 0.543651i | −0.537748 | − | 0.0428457i | ||||
\(162\) | −11.5321 | − | 3.79313i | −0.906047 | − | 0.298016i | ||||
\(163\) | 2.18883 | + | 8.16881i | 0.171442 | + | 0.639830i | 0.997130 | + | 0.0757038i | \(0.0241203\pi\) |
−0.825688 | + | 0.564127i | \(0.809213\pi\) | |||||||
\(164\) | 0.545948 | − | 4.85646i | 0.0426314 | − | 0.379226i | ||||
\(165\) | −19.4824 | − | 10.8056i | −1.51671 | − | 0.841213i | ||||
\(166\) | −0.0783400 | + | 1.39813i | −0.00608036 | + | 0.108516i | ||||
\(167\) | 1.37400 | − | 1.37400i | 0.106323 | − | 0.106323i | −0.651944 | − | 0.758267i | \(-0.726046\pi\) |
0.758267 | + | 0.651944i | \(0.226046\pi\) | |||||||
\(168\) | −0.182096 | − | 12.6702i | −0.0140490 | − | 0.977528i | ||||
\(169\) | − | 8.54006i | − | 0.656927i | ||||||
\(170\) | −16.9884 | − | 5.26567i | −1.30295 | − | 0.403858i | ||||
\(171\) | 0.237584 | + | 0.411508i | 0.0181685 | + | 0.0314688i | ||||
\(172\) | −13.5919 | − | 17.0349i | −1.03637 | − | 1.29890i | ||||
\(173\) | −14.6974 | + | 3.93815i | −1.11742 | + | 0.299412i | −0.769839 | − | 0.638238i | \(-0.779664\pi\) |
−0.347582 | + | 0.937650i | \(0.612997\pi\) | |||||||
\(174\) | −12.8717 | + | 6.49999i | −0.975804 | + | 0.492763i | ||||
\(175\) | −3.99640 | + | 12.6107i | −0.302100 | + | 0.953276i | ||||
\(176\) | −6.94859 | − | 22.4864i | −0.523770 | − | 1.69498i | ||||
\(177\) | 4.74908 | − | 1.27251i | 0.356963 | − | 0.0956478i | ||||
\(178\) | 5.14195 | − | 1.07355i | 0.385405 | − | 0.0804659i | ||||
\(179\) | −9.39695 | + | 5.42533i | −0.702361 | + | 0.405508i | −0.808226 | − | 0.588872i | \(-0.799572\pi\) |
0.105865 | + | 0.994380i | \(0.466239\pi\) | |||||||
\(180\) | 0.0987012 | + | 0.585309i | 0.00735675 | + | 0.0436264i | ||||
\(181\) | − | 2.62305i | − | 0.194970i | −0.995237 | − | 0.0974849i | \(-0.968920\pi\) | ||
0.995237 | − | 0.0974849i | \(-0.0310798\pi\) | |||||||
\(182\) | 7.28642 | + | 3.05732i | 0.540106 | + | 0.226624i | ||||
\(183\) | −8.77185 | − | 8.77185i | −0.648434 | − | 0.648434i | ||||
\(184\) | −5.63650 | − | 4.66642i | −0.415529 | − | 0.344013i | ||||
\(185\) | 20.3072 | + | 11.2630i | 1.49301 | + | 0.828073i | ||||
\(186\) | −1.59829 | + | 2.44179i | −0.117192 | + | 0.179040i | ||||
\(187\) | 31.9654 | − | 8.56509i | 2.33754 | − | 0.626342i | ||||
\(188\) | −8.51603 | + | 1.28579i | −0.621095 | + | 0.0937757i | ||||
\(189\) | −6.02987 | − | 12.6734i | −0.438608 | − | 0.921857i | ||||
\(190\) | −6.03628 | + | 9.57760i | −0.437918 | + | 0.694832i | ||||
\(191\) | 0.0199675 | + | 0.0115282i | 0.00144480 | + | 0.000834154i | 0.500722 | − | 0.865608i | \(-0.333068\pi\) |
−0.499277 | + | 0.866442i | \(0.666401\pi\) | |||||||
\(192\) | 7.62248 | − | 11.1984i | 0.550105 | − | 0.808172i | ||||
\(193\) | −7.30191 | − | 1.95654i | −0.525603 | − | 0.140835i | −0.0137459 | − | 0.999906i | \(-0.504376\pi\) |
−0.511857 | + | 0.859071i | \(0.671042\pi\) | |||||||
\(194\) | 5.41614 | + | 0.303477i | 0.388856 | + | 0.0217884i | ||||
\(195\) | 7.75821 | + | 1.93637i | 0.555577 | + | 0.138667i | ||||
\(196\) | 9.98979 | − | 9.80837i | 0.713557 | − | 0.700598i | ||||
\(197\) | 9.05691 | − | 9.05691i | 0.645278 | − | 0.645278i | −0.306570 | − | 0.951848i | \(-0.599181\pi\) |
0.951848 | + | 0.306570i | \(0.0991813\pi\) | |||||||
\(198\) | −0.736037 | − | 0.823417i | −0.0523079 | − | 0.0585177i | ||||
\(199\) | 0.296991 | + | 0.514403i | 0.0210531 | + | 0.0364651i | 0.876360 | − | 0.481657i | \(-0.159965\pi\) |
−0.855307 | + | 0.518122i | \(0.826631\pi\) | |||||||
\(200\) | −11.2421 | + | 8.57990i | −0.794938 | + | 0.606691i | ||||
\(201\) | −7.25142 | + | 12.5598i | −0.511476 | + | 0.885902i | ||||
\(202\) | −1.44370 | + | 4.38922i | −0.101578 | + | 0.308824i | ||||
\(203\) | −15.0126 | − | 5.33262i | −1.05368 | − | 0.374276i | ||||
\(204\) | 15.3284 | + | 11.3069i | 1.07320 | + | 0.791639i | ||||
\(205\) | 3.79651 | − | 3.92946i | 0.265160 | − | 0.274445i | ||||
\(206\) | −13.0666 | + | 19.9625i | −0.910392 | + | 1.39085i | ||||
\(207\) | −0.331681 | − | 0.0888736i | −0.0230534 | − | 0.00617714i | ||||
\(208\) | 4.49792 | + | 7.15037i | 0.311875 | + | 0.495789i | ||||
\(209\) | − | 21.0646i | − | 1.45707i | ||||||
\(210\) | 8.48185 | − | 11.3476i | 0.585304 | − | 0.783056i | ||||
\(211\) | 4.15052 | 0.285734 | 0.142867 | − | 0.989742i | \(-0.454368\pi\) | ||||
0.142867 | + | 0.989742i | \(0.454368\pi\) | |||||||
\(212\) | 9.03129 | + | 3.54188i | 0.620271 | + | 0.243258i | ||||
\(213\) | −1.17721 | + | 4.39341i | −0.0806611 | + | 0.301031i | ||||
\(214\) | −9.47095 | + | 14.4692i | −0.647421 | + | 0.989097i | ||||
\(215\) | −0.419219 | − | 24.3615i | −0.0285905 | − | 1.66144i | ||||
\(216\) | 2.50762 | − | 14.7928i | 0.170622 | − | 1.00652i | ||||
\(217\) | −3.17090 | + | 0.584517i | −0.215255 | + | 0.0396796i | ||||
\(218\) | −0.969088 | − | 0.318752i | −0.0656349 | − | 0.0215886i | ||||
\(219\) | 2.27131 | + | 1.31134i | 0.153481 | + | 0.0886123i | ||||
\(220\) | 9.18431 | − | 24.6587i | 0.619206 | − | 1.66249i | ||||
\(221\) | −10.2865 | + | 5.93891i | −0.691944 | + | 0.399494i | ||||
\(222\) | −16.5736 | − | 18.5411i | −1.11235 | − | 1.24440i | ||||
\(223\) | 17.8824 | + | 17.8824i | 1.19749 | + | 1.19749i | 0.974915 | + | 0.222576i | \(0.0714467\pi\) |
0.222576 | + | 0.974915i | \(0.428553\pi\) | |||||||
\(224\) | 14.7653 | − | 2.44684i | 0.986546 | − | 0.163486i | ||||
\(225\) | −0.311847 | + | 0.585801i | −0.0207898 | + | 0.0390534i | ||||
\(226\) | −0.333916 | + | 5.95938i | −0.0222118 | + | 0.396412i | ||||
\(227\) | −0.666517 | + | 2.48748i | −0.0442383 | + | 0.165100i | −0.984511 | − | 0.175322i | \(-0.943903\pi\) |
0.940273 | + | 0.340422i | \(0.110570\pi\) | |||||||
\(228\) | 9.47716 | − | 7.56170i | 0.627640 | − | 0.500786i | ||||
\(229\) | −7.05872 | + | 12.2261i | −0.466453 | + | 0.807921i | −0.999266 | − | 0.0383127i | \(-0.987802\pi\) |
0.532813 | + | 0.846233i | \(0.321135\pi\) | |||||||
\(230\) | −1.80958 | − | 7.97856i | −0.119320 | − | 0.526091i | ||||
\(231\) | −2.09364 | + | 26.2769i | −0.137751 | + | 1.72889i | ||||
\(232\) | −9.86097 | − | 13.8866i | −0.647404 | − | 0.911698i | ||||
\(233\) | −0.101054 | − | 0.377137i | −0.00662024 | − | 0.0247071i | 0.962537 | − | 0.271151i | \(-0.0874044\pi\) |
−0.969157 | + | 0.246444i | \(0.920738\pi\) | |||||||
\(234\) | 0.331671 | + | 0.217097i | 0.0216820 | + | 0.0141921i | ||||
\(235\) | −8.42067 | − | 4.67037i | −0.549304 | − | 0.304661i | ||||
\(236\) | 2.32357 | + | 5.32200i | 0.151251 | + | 0.346433i | ||||
\(237\) | 2.47445 | − | 2.47445i | 0.160733 | − | 0.160733i | ||||
\(238\) | 2.65122 | + | 20.8767i | 0.171853 | + | 1.35324i | ||||
\(239\) | 8.73515 | 0.565030 | 0.282515 | − | 0.959263i | \(-0.408831\pi\) | ||||
0.282515 | + | 0.959263i | \(0.408831\pi\) | |||||||
\(240\) | 14.3912 | − | 4.71980i | 0.928945 | − | 0.304662i | ||||
\(241\) | −2.75576 | − | 4.77312i | −0.177514 | − | 0.307464i | 0.763514 | − | 0.645791i | \(-0.223472\pi\) |
−0.941029 | + | 0.338327i | \(0.890139\pi\) | |||||||
\(242\) | 6.82694 | + | 32.6988i | 0.438852 | + | 2.10196i | ||||
\(243\) | −0.356733 | − | 1.33135i | −0.0228844 | − | 0.0854059i | ||||
\(244\) | 8.69777 | − | 11.7913i | 0.556818 | − | 0.754860i | ||||
\(245\) | 15.5399 | − | 1.87363i | 0.992810 | − | 0.119702i | ||||
\(246\) | −5.22328 | + | 2.63766i | −0.333024 | + | 0.168171i | ||||
\(247\) | 1.95681 | + | 7.30292i | 0.124509 | + | 0.464674i | ||||
\(248\) | −3.13356 | − | 1.43605i | −0.198981 | − | 0.0911895i | ||||
\(249\) | 1.45204 | − | 0.838336i | 0.0920193 | − | 0.0531274i | ||||
\(250\) | −15.8112 | − | 0.0688383i | −0.999991 | − | 0.00435371i | ||||
\(251\) | 5.18227 | 0.327102 | 0.163551 | − | 0.986535i | \(-0.447705\pi\) | ||||
0.163551 | + | 0.986535i | \(0.447705\pi\) | |||||||
\(252\) | 0.582045 | − | 0.393044i | 0.0366654 | − | 0.0247595i | ||||
\(253\) | 10.7638 | + | 10.7638i | 0.676715 | + | 0.676715i | ||||
\(254\) | −0.694450 | + | 12.3938i | −0.0435737 | + | 0.777657i | ||||
\(255\) | 5.86483 | + | 20.4722i | 0.367270 | + | 1.28202i | ||||
\(256\) | 14.4225 | + | 6.92756i | 0.901407 | + | 0.432972i | ||||
\(257\) | −19.8219 | + | 5.31127i | −1.23646 | + | 0.331308i | −0.817091 | − | 0.576509i | \(-0.804415\pi\) |
−0.419367 | + | 0.907817i | \(0.637748\pi\) | |||||||
\(258\) | −8.15296 | + | 24.7871i | −0.507581 | + | 1.54318i | ||||
\(259\) | 2.18227 | − | 27.3892i | 0.135599 | − | 1.70188i | ||||
\(260\) | −0.893438 | + | 9.40216i | −0.0554087 | + | 0.583097i | ||||
\(261\) | −0.692150 | − | 0.399613i | −0.0428430 | − | 0.0247354i | ||||
\(262\) | −2.89084 | − | 13.8462i | −0.178597 | − | 0.855420i | ||||
\(263\) | 2.82463 | − | 10.5417i | 0.174174 | − | 0.650027i | −0.822517 | − | 0.568741i | \(-0.807431\pi\) |
0.996691 | − | 0.0812857i | \(-0.0259026\pi\) | |||||||
\(264\) | −17.9707 | + | 21.7066i | −1.10602 | + | 1.33595i | ||||
\(265\) | 5.58382 | + | 9.29824i | 0.343012 | + | 0.571186i | ||||
\(266\) | 13.2725 | + | 1.80927i | 0.813792 | + | 0.110933i | ||||
\(267\) | −4.44731 | − | 4.44731i | −0.272171 | − | 0.272171i | ||||
\(268\) | −15.9471 | − | 6.25413i | −0.974126 | − | 0.382032i | ||||
\(269\) | −1.74432 | − | 3.02125i | −0.106353 | − | 0.184209i | 0.807937 | − | 0.589269i | \(-0.200584\pi\) |
−0.914290 | + | 0.405060i | \(0.867251\pi\) | |||||||
\(270\) | 12.3124 | − | 11.3929i | 0.749307 | − | 0.693352i | ||||
\(271\) | 16.7981 | + | 9.69836i | 1.02041 | + | 0.589134i | 0.914223 | − | 0.405213i | \(-0.132802\pi\) |
0.106187 | + | 0.994346i | \(0.466136\pi\) | |||||||
\(272\) | −10.5023 | + | 19.8956i | −0.636793 | + | 1.20635i | ||||
\(273\) | −1.71517 | − | 9.30448i | −0.103807 | − | 0.563133i | ||||
\(274\) | 0.374329 | + | 0.741271i | 0.0226140 | + | 0.0447818i | ||||
\(275\) | 24.9568 | − | 15.5776i | 1.50495 | − | 0.939365i | ||||
\(276\) | −0.978782 | + | 8.70672i | −0.0589158 | + | 0.524083i | ||||
\(277\) | −18.2019 | − | 4.87718i | −1.09364 | − | 0.293041i | −0.333470 | − | 0.942761i | \(-0.608220\pi\) |
−0.760174 | + | 0.649719i | \(0.774886\pi\) | |||||||
\(278\) | 12.2402 | + | 13.6933i | 0.734120 | + | 0.821271i | ||||
\(279\) | −0.161752 | −0.00968382 | ||||||||
\(280\) | 14.7483 | + | 7.90490i | 0.881380 | + | 0.472408i | ||||
\(281\) | 16.2908 | 0.971826 | 0.485913 | − | 0.874007i | \(-0.338487\pi\) | ||||
0.485913 | + | 0.874007i | \(0.338487\pi\) | |||||||
\(282\) | 6.87247 | + | 7.68834i | 0.409250 | + | 0.457834i | ||||
\(283\) | 5.60419 | + | 1.50164i | 0.333135 | + | 0.0892632i | 0.421509 | − | 0.906824i | \(-0.361501\pi\) |
−0.0883744 | + | 0.996087i | \(0.528167\pi\) | |||||||
\(284\) | −5.33858 | − | 0.600147i | −0.316787 | − | 0.0356122i | ||||
\(285\) | 13.5532 | − | 0.233228i | 0.802825 | − | 0.0138152i | ||||
\(286\) | −7.92130 | − | 15.6863i | −0.468397 | − | 0.927551i | ||||
\(287\) | −6.09205 | − | 2.16395i | −0.359602 | − | 0.127734i | ||||
\(288\) | 0.750694 | + | 0.0135649i | 0.0442351 | + | 0.000799317i | ||||
\(289\) | −12.6728 | − | 7.31662i | −0.745456 | − | 0.430390i | ||||
\(290\) | 0.738010 | − | 19.0276i | 0.0433375 | − | 1.11734i | ||||
\(291\) | −3.24758 | − | 5.62497i | −0.190376 | − | 0.329742i | ||||
\(292\) | −1.13099 | + | 2.88387i | −0.0661864 | + | 0.168766i | ||||
\(293\) | 11.5039 | + | 11.5039i | 0.672066 | + | 0.672066i | 0.958192 | − | 0.286126i | \(-0.0923675\pi\) |
−0.286126 | + | 0.958192i | \(0.592368\pi\) | |||||||
\(294\) | −16.3769 | − | 3.57614i | −0.955122 | − | 0.208565i | ||||
\(295\) | −1.57225 | + | 6.29932i | −0.0915398 | + | 0.366760i | ||||
\(296\) | 18.7315 | − | 22.6255i | 1.08874 | − | 1.31508i | ||||
\(297\) | −8.07825 | + | 30.1484i | −0.468748 | + | 1.74939i | ||||
\(298\) | 0.503899 | + | 2.41351i | 0.0291901 | + | 0.139811i | ||||
\(299\) | −4.73165 | − | 2.73182i | −0.273638 | − | 0.157985i | ||||
\(300\) | 15.9674 | + | 5.63630i | 0.921881 | + | 0.325412i | ||||
\(301\) | −26.0328 | + | 12.3861i | −1.50050 | + | 0.713922i | ||||
\(302\) | 6.90685 | − | 20.9986i | 0.397445 | − | 1.20833i | ||||
\(303\) | 5.34389 | − | 1.43189i | 0.306998 | − | 0.0822599i | ||||
\(304\) | 10.5024 | + | 9.73488i | 0.602351 | + | 0.558334i | ||||
\(305\) | 15.7481 | − | 4.51150i | 0.901735 | − | 0.258328i | ||||
\(306\) | −0.0590610 | + | 1.05406i | −0.00337630 | + | 0.0602566i | ||||
\(307\) | −12.3338 | − | 12.3338i | −0.703927 | − | 0.703927i | 0.261324 | − | 0.965251i | \(-0.415841\pi\) |
−0.965251 | + | 0.261324i | \(0.915841\pi\) | |||||||
\(308\) | −31.0576 | + | 2.18834i | −1.76967 | + | 0.124692i | ||||
\(309\) | 28.5671 | 1.62512 | ||||||||
\(310\) | −1.79610 | − | 3.40967i | −0.102012 | − | 0.193656i | ||||
\(311\) | 16.9086 | − | 9.76219i | 0.958799 | − | 0.553563i | 0.0629960 | − | 0.998014i | \(-0.479934\pi\) |
0.895803 | + | 0.444451i | \(0.146601\pi\) | |||||||
\(312\) | 4.21386 | − | 9.19491i | 0.238563 | − | 0.520559i | ||||
\(313\) | 8.16997 | + | 30.4907i | 0.461794 | + | 1.72344i | 0.667305 | + | 0.744784i | \(0.267448\pi\) |
−0.205511 | + | 0.978655i | \(0.565886\pi\) | |||||||
\(314\) | 30.2629 | − | 15.2822i | 1.70783 | − | 0.862424i | ||||
\(315\) | 0.783700 | + | 0.0488890i | 0.0441565 | + | 0.00275458i | ||||
\(316\) | 3.32621 | + | 2.45355i | 0.187114 | + | 0.138023i | ||||
\(317\) | 2.89312 | + | 10.7973i | 0.162494 | + | 0.606436i | 0.998347 | + | 0.0574819i | \(0.0183071\pi\) |
−0.835853 | + | 0.548954i | \(0.815026\pi\) | |||||||
\(318\) | −2.37391 | − | 11.3703i | −0.133122 | − | 0.637612i | ||||
\(319\) | 17.7151 | + | 30.6835i | 0.991857 | + | 1.71795i | ||||
\(320\) | 8.04983 | + | 15.9750i | 0.449999 | + | 0.893029i | ||||
\(321\) | 20.7060 | 1.15570 | ||||||||
\(322\) | −7.70668 | + | 5.85764i | −0.429477 | + | 0.326434i | ||||
\(323\) | −14.2379 | + | 14.2379i | −0.792216 | + | 0.792216i | ||||
\(324\) | −15.7342 | + | 6.86949i | −0.874121 | + | 0.381638i | ||||
\(325\) | −7.20523 | + | 7.71902i | −0.399674 | + | 0.428174i | ||||
\(326\) | 10.0069 | + | 6.55007i | 0.554229 | + | 0.362775i | ||||
\(327\) | 0.316145 | + | 1.17987i | 0.0174828 | + | 0.0652468i | ||||
\(328\) | −4.00153 | − | 5.63510i | −0.220948 | − | 0.311146i | ||||
\(329\) | −0.904908 | + | 11.3573i | −0.0498892 | + | 0.626151i | ||||
\(330\) | −30.7260 | + | 6.96884i | −1.69141 | + | 0.383622i | ||||
\(331\) | 0.741372 | − | 1.28409i | 0.0407495 | − | 0.0705802i | −0.844931 | − | 0.534875i | \(-0.820359\pi\) |
0.885681 | + | 0.464295i | \(0.153692\pi\) | |||||||
\(332\) | 1.23512 | + | 1.54799i | 0.0677862 | + | 0.0849572i | ||||
\(333\) | 0.356747 | − | 1.33140i | 0.0195496 | − | 0.0729602i | ||||
\(334\) | 0.153735 | − | 2.74370i | 0.00841199 | − | 0.150128i | ||||
\(335\) | −9.85972 | − | 16.4185i | −0.538694 | − | 0.897038i | ||||
\(336\) | −12.1335 | − | 13.1876i | −0.661939 | − | 0.719441i | ||||
\(337\) | 18.6334 | + | 18.6334i | 1.01503 | + | 1.01503i | 0.999885 | + | 0.0151418i | \(0.00481996\pi\) |
0.0151418 | + | 0.999885i | \(0.495180\pi\) | |||||||
\(338\) | −8.04891 | − | 9.00445i | −0.437803 | − | 0.489777i | ||||
\(339\) | 6.18917 | − | 3.57332i | 0.336149 | − | 0.194076i | ||||
\(340\) | −22.8750 | + | 10.4594i | −1.24057 | + | 0.567239i | ||||
\(341\) | 6.20990 | + | 3.58529i | 0.336285 | + | 0.194154i | ||||
\(342\) | 0.638345 | + | 0.209964i | 0.0345178 | + | 0.0113536i | ||||
\(343\) | −9.63090 | − | 15.8192i | −0.520020 | − | 0.854154i | ||||
\(344\) | −30.3862 | − | 5.15096i | −1.63831 | − | 0.277721i | ||||
\(345\) | −6.80642 | + | 7.04478i | −0.366445 | + | 0.379278i | ||||
\(346\) | −11.7849 | + | 18.0044i | −0.633562 | + | 0.967924i | ||||
\(347\) | −1.61911 | + | 6.04259i | −0.0869182 | + | 0.324383i | −0.995671 | − | 0.0929527i | \(-0.970369\pi\) |
0.908752 | + | 0.417336i | \(0.137036\pi\) | |||||||
\(348\) | −7.44550 | + | 18.9849i | −0.399120 | + | 1.01770i | ||||
\(349\) | −25.9932 | −1.39138 | −0.695692 | − | 0.718340i | \(-0.744902\pi\) | ||||
−0.695692 | + | 0.718340i | \(0.744902\pi\) | |||||||
\(350\) | 7.67170 | + | 17.0630i | 0.410070 | + | 0.912054i | ||||
\(351\) | − | 11.2027i | − | 0.597955i | ||||||
\(352\) | −28.5196 | − | 17.1602i | −1.52010 | − | 0.914641i | ||||
\(353\) | −12.9582 | − | 3.47213i | −0.689694 | − | 0.184803i | −0.103084 | − | 0.994673i | \(-0.532871\pi\) |
−0.586610 | + | 0.809870i | \(0.699538\pi\) | |||||||
\(354\) | 3.80800 | − | 5.81767i | 0.202393 | − | 0.309205i | ||||
\(355\) | −4.31955 | − | 4.17340i | −0.229258 | − | 0.221501i | ||||
\(356\) | 4.40975 | − | 5.97816i | 0.233716 | − | 0.316842i | ||||
\(357\) | 19.1761 | − | 16.3458i | 1.01491 | − | 0.865113i | ||||
\(358\) | −4.79462 | + | 14.5769i | −0.253403 | + | 0.770412i | ||||
\(359\) | 4.00935 | − | 6.94440i | 0.211605 | − | 0.366511i | −0.740612 | − | 0.671933i | \(-0.765464\pi\) |
0.952217 | + | 0.305422i | \(0.0987975\pi\) | |||||||
\(360\) | 0.655716 | + | 0.524112i | 0.0345593 | + | 0.0276232i | ||||
\(361\) | −3.09165 | − | 5.35489i | −0.162718 | − | 0.281836i | ||||
\(362\) | −2.47220 | − | 2.76569i | −0.129936 | − | 0.145361i | ||||
\(363\) | 28.2814 | − | 28.2814i | 1.48439 | − | 1.48439i | ||||
\(364\) | 10.5641 | − | 3.64381i | 0.553712 | − | 0.190987i | ||||
\(365\) | −2.96911 | + | 1.78303i | −0.155410 | + | 0.0933278i | ||||
\(366\) | −17.5162 | − | 0.981469i | −0.915588 | − | 0.0513022i | ||||
\(367\) | −10.5787 | − | 2.83454i | −0.552202 | − | 0.147962i | −0.0280804 | − | 0.999606i | \(-0.508939\pi\) |
−0.524121 | + | 0.851644i | \(0.675606\pi\) | |||||||
\(368\) | −10.3411 | + | 0.392173i | −0.539065 | + | 0.0204434i | ||||
\(369\) | −0.280871 | − | 0.162161i | −0.0146216 | − | 0.00844176i | ||||
\(370\) | 32.0267 | − | 7.26385i | 1.66499 | − | 0.377629i | ||||
\(371\) | 7.27904 | − | 10.5691i | 0.377909 | − | 0.548722i | ||||
\(372\) | 0.616158 | + | 4.08094i | 0.0319463 | + | 0.211587i | ||||
\(373\) | 16.0195 | − | 4.29241i | 0.829457 | − | 0.222252i | 0.180980 | − | 0.983487i | \(-0.442073\pi\) |
0.648477 | + | 0.761234i | \(0.275406\pi\) | |||||||
\(374\) | 25.6311 | − | 39.1579i | 1.32535 | − | 2.02481i | ||||
\(375\) | 10.2992 | + | 15.8851i | 0.531848 | + | 0.820302i | ||||
\(376\) | −7.76728 | + | 9.38198i | −0.400567 | + | 0.483839i | ||||
\(377\) | −8.99208 | − | 8.99208i | −0.463116 | − | 0.463116i | ||||
\(378\) | −18.3024 | − | 7.67951i | −0.941371 | − | 0.394992i | ||||
\(379\) | − | 9.42276i | − | 0.484015i | −0.970274 | − | 0.242007i | \(-0.922194\pi\) | ||
0.970274 | − | 0.242007i | \(-0.0778058\pi\) | |||||||
\(380\) | 2.66227 | + | 15.7875i | 0.136571 | + | 0.809884i | ||||
\(381\) | 12.8717 | − | 7.43148i | 0.659437 | − | 0.380726i | ||||
\(382\) | 0.0319185 | − | 0.00666403i | 0.00163309 | − | 0.000340962i | ||||
\(383\) | 1.98243 | − | 0.531192i | 0.101298 | − | 0.0271426i | −0.207814 | − | 0.978168i | \(-0.566635\pi\) |
0.309112 | + | 0.951026i | \(0.399968\pi\) | |||||||
\(384\) | −2.51737 | − | 18.9914i | −0.128464 | − | 0.969152i | ||||
\(385\) | −29.0038 | − | 19.2479i | −1.47817 | − | 0.980965i | ||||
\(386\) | −9.54299 | + | 4.81904i | −0.485726 | + | 0.245283i | ||||
\(387\) | −1.39697 | + | 0.374316i | −0.0710118 | + | 0.0190276i | ||||
\(388\) | 5.99668 | − | 4.78467i | 0.304435 | − | 0.242905i | ||||
\(389\) | −15.8557 | − | 27.4629i | −0.803916 | − | 1.39242i | −0.917021 | − | 0.398840i | \(-0.869413\pi\) |
0.113105 | − | 0.993583i | \(-0.463920\pi\) | |||||||
\(390\) | 10.0051 | − | 5.27037i | 0.506628 | − | 0.266875i | ||||
\(391\) | − | 14.5509i | − | 0.735869i | ||||||
\(392\) | 1.28874 | − | 19.7570i | 0.0650910 | − | 0.997879i | ||||
\(393\) | −11.9757 | + | 11.9757i | −0.604093 | + | 0.604093i | ||||
\(394\) | 1.01336 | − | 18.0855i | 0.0510525 | − | 0.911132i | ||||
\(395\) | 1.27265 | + | 4.44239i | 0.0640339 | + | 0.223521i | ||||
\(396\) | −1.55212 | − | 0.174485i | −0.0779971 | − | 0.00876819i | ||||
\(397\) | 0.289547 | + | 1.08060i | 0.0145319 | + | 0.0542339i | 0.972811 | − | 0.231600i | \(-0.0743961\pi\) |
−0.958279 | + | 0.285834i | \(0.907729\pi\) | |||||||
\(398\) | 0.797960 | + | 0.262465i | 0.0399981 | + | 0.0131562i | ||||
\(399\) | −6.89086 | − | 14.4831i | −0.344974 | − | 0.725060i | ||||
\(400\) | −3.76698 | + | 19.6420i | −0.188349 | + | 0.982102i | ||||
\(401\) | 12.5923 | − | 21.8106i | 0.628831 | − | 1.08917i | −0.358956 | − | 0.933355i | \(-0.616867\pi\) |
0.987787 | − | 0.155813i | \(-0.0497996\pi\) | |||||||
\(402\) | 4.19177 | + | 20.0772i | 0.209066 | + | 1.00136i | ||||
\(403\) | −2.48598 | − | 0.666117i | −0.123836 | − | 0.0331817i | ||||
\(404\) | 2.61459 | + | 5.98857i | 0.130081 | + | 0.297942i | ||||
\(405\) | −18.6235 | − | 4.64825i | −0.925411 | − | 0.230974i | ||||
\(406\) | −20.8549 | + | 8.52666i | −1.03501 | + | 0.423171i | ||||
\(407\) | −43.2070 | + | 43.2070i | −2.14169 | + | 2.14169i | ||||
\(408\) | 26.8185 | − | 2.52512i | 1.32771 | − | 0.125012i | ||||
\(409\) | 24.2618 | − | 14.0075i | 1.19967 | − | 0.692629i | 0.239187 | − | 0.970974i | \(-0.423119\pi\) |
0.960481 | + | 0.278345i | \(0.0897858\pi\) | |||||||
\(410\) | 0.299481 | − | 7.72130i | 0.0147903 | − | 0.381328i | ||||
\(411\) | 0.497153 | − | 0.861094i | 0.0245227 | − | 0.0424746i | ||||
\(412\) | 5.03731 | + | 33.3631i | 0.248170 | + | 1.64368i | ||||
\(413\) | 7.55482 | − | 1.39264i | 0.371748 | − | 0.0685272i | ||||
\(414\) | −0.433479 | + | 0.218899i | −0.0213043 | + | 0.0107583i | ||||
\(415\) | 0.0380953 | + | 2.21378i | 0.00187002 | + | 0.108670i | ||||
\(416\) | 11.4817 | + | 3.29995i | 0.562935 | + | 0.161793i | ||||
\(417\) | 5.69172 | − | 21.2418i | 0.278725 | − | 1.04021i | ||||
\(418\) | −19.8531 | − | 22.2100i | −0.971048 | − | 1.08633i | ||||
\(419\) | 40.0678i | 1.95744i | 0.205196 | + | 0.978721i | \(0.434217\pi\) | ||||
−0.205196 | + | 0.978721i | \(0.565783\pi\) | |||||||
\(420\) | −1.75188 | − | 19.9587i | −0.0854831 | − | 0.973884i | ||||
\(421\) | − | 31.9415i | − | 1.55673i | −0.627810 | − | 0.778366i | \(-0.716049\pi\) | ||
0.627810 | − | 0.778366i | \(-0.283951\pi\) | |||||||
\(422\) | 4.37622 | − | 3.91182i | 0.213031 | − | 0.190425i | ||||
\(423\) | −0.147930 | + | 0.552083i | −0.00719262 | + | 0.0268432i | ||||
\(424\) | 12.8606 | − | 4.77741i | 0.624565 | − | 0.232012i | ||||
\(425\) | −27.3978 | − | 6.33953i | −1.32899 | − | 0.307512i | ||||
\(426\) | 2.89952 | + | 5.74182i | 0.140482 | + | 0.278192i | ||||
\(427\) | −12.5740 | − | 14.7511i | −0.608497 | − | 0.713857i | ||||
\(428\) | 3.65115 | + | 24.1823i | 0.176485 | + | 1.16890i | ||||
\(429\) | −10.5204 | + | 18.2219i | −0.507931 | + | 0.879762i | ||||
\(430\) | −23.4025 | − | 25.2911i | −1.12857 | − | 1.21965i | ||||
\(431\) | −7.25976 | + | 4.19142i | −0.349690 | + | 0.201894i | −0.664549 | − | 0.747245i | \(-0.731376\pi\) |
0.314859 | + | 0.949139i | \(0.398043\pi\) | |||||||
\(432\) | −11.2981 | − | 17.9606i | −0.543579 | − | 0.864130i | ||||
\(433\) | −21.6628 | + | 21.6628i | −1.04105 | + | 1.04105i | −0.0419294 | + | 0.999121i | \(0.513350\pi\) |
−0.999121 | + | 0.0419294i | \(0.986650\pi\) | |||||||
\(434\) | −2.79243 | + | 3.60484i | −0.134041 | + | 0.173038i | ||||
\(435\) | −19.5461 | + | 11.7379i | −0.937164 | + | 0.562790i | ||||
\(436\) | −1.32221 | + | 0.577271i | −0.0633222 | + | 0.0276462i | ||||
\(437\) | −8.94642 | − | 2.39719i | −0.427965 | − | 0.114673i | ||||
\(438\) | 3.63075 | − | 0.758037i | 0.173484 | − | 0.0362204i | ||||
\(439\) | 19.5876 | − | 33.9267i | 0.934863 | − | 1.61923i | 0.159986 | − | 0.987119i | \(-0.448855\pi\) |
0.774877 | − | 0.632112i | \(-0.217812\pi\) | |||||||
\(440\) | −13.5568 | − | 34.6557i | −0.646296 | − | 1.65214i | ||||
\(441\) | −0.331275 | − | 0.868022i | −0.0157750 | − | 0.0413344i | ||||
\(442\) | −5.24849 | + | 15.9568i | −0.249645 | + | 0.758986i | ||||
\(443\) | 4.05106 | + | 15.1187i | 0.192471 | + | 0.718313i | 0.992907 | + | 0.118894i | \(0.0379350\pi\) |
−0.800435 | + | 0.599419i | \(0.795398\pi\) | |||||||
\(444\) | −34.9496 | − | 3.92893i | −1.65864 | − | 0.186459i | ||||
\(445\) | 7.98427 | − | 2.28732i | 0.378491 | − | 0.108429i | ||||
\(446\) | 35.7087 | + | 2.00083i | 1.69086 | + | 0.0947420i | ||||
\(447\) | 2.08746 | − | 2.08746i | 0.0987335 | − | 0.0987335i | ||||
\(448\) | 13.2620 | − | 16.4960i | 0.626573 | − | 0.779363i | ||||
\(449\) | − | 3.18421i | − | 0.150272i | −0.997173 | − | 0.0751360i | \(-0.976061\pi\) | ||
0.997173 | − | 0.0751360i | \(-0.0239391\pi\) | |||||||
\(450\) | 0.223307 | + | 0.911568i | 0.0105268 | + | 0.0429717i | ||||
\(451\) | 7.18871 | + | 12.4512i | 0.338503 | + | 0.586305i | ||||
\(452\) | 5.26459 | + | 6.59816i | 0.247625 | + | 0.310351i | ||||
\(453\) | −25.5659 | + | 6.85035i | −1.20119 | + | 0.321858i | ||||
\(454\) | 1.64166 | + | 3.25093i | 0.0770469 | + | 0.152574i | ||||
\(455\) | 11.8435 | + | 3.97877i | 0.555230 | + | 0.186528i | ||||
\(456\) | 2.86568 | − | 16.9050i | 0.134198 | − | 0.791650i | ||||
\(457\) | 5.43783 | − | 1.45706i | 0.254371 | − | 0.0681585i | −0.129380 | − | 0.991595i | \(-0.541299\pi\) |
0.383751 | + | 0.923437i | \(0.374632\pi\) | |||||||
\(458\) | 4.08038 | + | 19.5437i | 0.190663 | + | 0.913215i | ||||
\(459\) | 25.8380 | − | 14.9176i | 1.20602 | − | 0.696294i | ||||
\(460\) | −9.42770 | − | 6.70691i | −0.439569 | − | 0.312711i | ||||
\(461\) | 39.2321i | 1.82722i | 0.406593 | + | 0.913610i | \(0.366717\pi\) | ||||
−0.406593 | + | 0.913610i | \(0.633283\pi\) | |||||||
\(462\) | 22.5582 | + | 29.6790i | 1.04950 | + | 1.38079i | ||||
\(463\) | −5.47000 | − | 5.47000i | −0.254213 | − | 0.254213i | 0.568483 | − | 0.822695i | \(-0.307531\pi\) |
−0.822695 | + | 0.568483i | \(0.807531\pi\) | |||||||
\(464\) | −23.4851 | − | 5.34783i | −1.09027 | − | 0.248267i | ||||
\(465\) | −2.23807 | + | 4.03524i | −0.103788 | + | 0.187130i | ||||
\(466\) | −0.461996 | − | 0.302403i | −0.0214016 | − | 0.0140086i | ||||
\(467\) | −17.0978 | + | 4.58133i | −0.791191 | + | 0.211999i | −0.631713 | − | 0.775203i | \(-0.717648\pi\) |
−0.159478 | + | 0.987202i | \(0.550981\pi\) | |||||||
\(468\) | 0.554318 | − | 0.0836934i | 0.0256234 | − | 0.00386873i | ||||
\(469\) | −12.8531 | + | 18.6626i | −0.593499 | + | 0.861758i | ||||
\(470\) | −13.2803 | + | 3.01206i | −0.612577 | + | 0.138936i | ||||
\(471\) | −35.1547 | − | 20.2966i | −1.61984 | − | 0.935216i | ||||
\(472\) | 7.46585 | + | 3.42146i | 0.343644 | + | 0.157486i | ||||
\(473\) | 61.9286 | + | 16.5937i | 2.84748 | + | 0.762979i | ||||
\(474\) | 0.276862 | − | 4.94115i | 0.0127167 | − | 0.226955i | ||||
\(475\) | −8.41144 | + | 15.8008i | −0.385943 | + | 0.724990i | ||||
\(476\) | 22.4715 | + | 19.5132i | 1.02998 | + | 0.894386i | ||||
\(477\) | 0.455229 | − | 0.455229i | 0.0208435 | − | 0.0208435i | ||||
\(478\) | 9.21016 | − | 8.23279i | 0.421263 | − | 0.376559i | ||||
\(479\) | −7.99779 | − | 13.8526i | −0.365428 | − | 0.632940i | 0.623417 | − | 0.781890i | \(-0.285744\pi\) |
−0.988845 | + | 0.148950i | \(0.952411\pi\) | |||||||
\(480\) | 10.7254 | − | 18.5400i | 0.489543 | − | 0.846230i | ||||
\(481\) | 10.9658 | − | 18.9933i | 0.499997 | − | 0.866020i | ||||
\(482\) | −7.40424 | − | 2.43540i | −0.337254 | − | 0.110929i | ||||
\(483\) | 10.9219 | + | 3.87955i | 0.496964 | + | 0.176526i | ||||
\(484\) | 38.0164 | + | 28.0426i | 1.72802 | + | 1.27466i | ||||
\(485\) | 8.57583 | − | 0.147575i | 0.389408 | − | 0.00670104i | ||||
\(486\) | −1.63091 | − | 1.06753i | −0.0739797 | − | 0.0484239i | ||||
\(487\) | 23.6473 | + | 6.33627i | 1.07156 | + | 0.287124i | 0.751134 | − | 0.660150i | \(-0.229507\pi\) |
0.320426 | + | 0.947274i | \(0.396174\pi\) | |||||||
\(488\) | −1.94244 | − | 20.6300i | −0.0879301 | − | 0.933878i | ||||
\(489\) | − | 14.3202i | − | 0.647582i | ||||||
\(490\) | 14.6191 | − | 16.6217i | 0.660423 | − | 0.750894i | ||||
\(491\) | −26.6903 | −1.20452 | −0.602259 | − | 0.798301i | \(-0.705732\pi\) | ||||
−0.602259 | + | 0.798301i | \(0.705732\pi\) | |||||||
\(492\) | −3.02134 | + | 7.70399i | −0.136213 | + | 0.347323i | ||||
\(493\) | 8.76554 | − | 32.7134i | 0.394780 | − | 1.47334i | ||||
\(494\) | 8.94615 | + | 5.85577i | 0.402506 | + | 0.263463i | ||||
\(495\) | −1.25585 | − | 1.21336i | −0.0564464 | − | 0.0545366i | ||||
\(496\) | −4.65742 | + | 1.43920i | −0.209125 | + | 0.0646222i | ||||
\(497\) | −2.37877 | + | 6.69683i | −0.106703 | + | 0.300394i | ||||
\(498\) | 0.740876 | − | 2.25246i | 0.0331995 | − | 0.100935i | ||||
\(499\) | −14.5995 | − | 8.42903i | −0.653563 | − | 0.377335i | 0.136257 | − | 0.990674i | \(-0.456493\pi\) |
−0.789820 | + | 0.613339i | \(0.789826\pi\) | |||||||
\(500\) | −16.7359 | + | 14.8293i | −0.748452 | + | 0.663189i | ||||
\(501\) | −2.84949 | + | 1.64515i | −0.127306 | + | 0.0735000i | ||||
\(502\) | 5.46407 | − | 4.88423i | 0.243873 | − | 0.217994i | ||||
\(503\) | −11.1121 | − | 11.1121i | −0.495465 | − | 0.495465i | 0.414558 | − | 0.910023i | \(-0.363936\pi\) |
−0.910023 | + | 0.414558i | \(0.863936\pi\) | |||||||
\(504\) | 0.243255 | − | 0.962989i | 0.0108355 | − | 0.0428949i | ||||
\(505\) | −1.76917 | + | 7.08829i | −0.0787269 | + | 0.315425i | ||||
\(506\) | 21.4939 | + | 1.20435i | 0.955521 | + | 0.0535397i | ||||
\(507\) | −3.74276 | + | 13.9682i | −0.166222 | + | 0.620348i | ||||
\(508\) | 10.9488 | + | 13.7223i | 0.485776 | + | 0.608828i | ||||
\(509\) | −9.00348 | + | 15.5945i | −0.399072 | + | 0.691213i | −0.993612 | − | 0.112853i | \(-0.964001\pi\) |
0.594540 | + | 0.804066i | \(0.297334\pi\) | |||||||
\(510\) | 25.4786 | + | 16.0579i | 1.12821 | + | 0.711054i | ||||
\(511\) | 3.37493 | + | 2.32434i | 0.149298 | + | 0.102823i | ||||
\(512\) | 21.7359 | − | 6.28881i | 0.960602 | − | 0.277929i | ||||
\(513\) | −4.91520 | − | 18.3438i | −0.217012 | − | 0.809898i | ||||
\(514\) | −15.8940 | + | 24.2820i | −0.701054 | + | 1.07104i | ||||
\(515\) | −18.2970 | + | 32.9895i | −0.806264 | + | 1.45369i | ||||
\(516\) | 14.7653 | + | 33.8191i | 0.650006 | + | 1.48880i | ||||
\(517\) | 17.9164 | − | 17.9164i | 0.787963 | − | 0.787963i | ||||
\(518\) | −23.5131 | − | 30.9354i | −1.03311 | − | 1.35922i | ||||
\(519\) | 25.7650 | 1.13096 | ||||||||
\(520\) | 7.91942 | + | 10.7555i | 0.347289 | + | 0.471659i | ||||
\(521\) | −5.35164 | − | 9.26932i | −0.234460 | − | 0.406096i | 0.724656 | − | 0.689111i | \(-0.241999\pi\) |
−0.959116 | + | 0.283015i | \(0.908665\pi\) | |||||||
\(522\) | −1.10642 | + | 0.231001i | −0.0484267 | + | 0.0101106i | ||||
\(523\) | 5.11646 | + | 19.0949i | 0.223727 | + | 0.834961i | 0.982911 | + | 0.184084i | \(0.0589319\pi\) |
−0.759183 | + | 0.650877i | \(0.774401\pi\) | |||||||
\(524\) | −16.0979 | − | 11.8745i | −0.703241 | − | 0.518741i | ||||
\(525\) | 12.0633 | − | 18.8746i | 0.526484 | − | 0.823755i | ||||
\(526\) | −6.95718 | − | 13.7771i | −0.303347 | − | 0.600709i | ||||
\(527\) | −1.77402 | − | 6.62072i | −0.0772774 | − | 0.288403i | ||||
\(528\) | 1.51028 | + | 39.8241i | 0.0657267 | + | 1.73312i | ||||
\(529\) | −14.1221 | + | 8.15340i | −0.614004 | + | 0.354495i | ||||
\(530\) | 14.6510 | + | 4.54116i | 0.636397 | + | 0.197256i | ||||
\(531\) | 0.385381 | 0.0167241 | ||||||||
\(532\) | 15.6995 | − | 10.6016i | 0.680659 | − | 0.459637i | ||||
\(533\) | −3.64894 | − | 3.64894i | −0.158053 | − | 0.158053i | ||||
\(534\) | −8.88069 | − | 0.497602i | −0.384305 | − | 0.0215334i | ||||
\(535\) | −13.2621 | + | 23.9115i | −0.573370 | + | 1.03379i | ||||
\(536\) | −22.7088 | + | 8.43578i | −0.980869 | + | 0.364370i | ||||
\(537\) | 17.7474 | − | 4.75540i | 0.765856 | − | 0.205211i | ||||
\(538\) | −4.68668 | − | 1.54154i | −0.202057 | − | 0.0664605i | ||||
\(539\) | −6.52186 | + | 40.6675i | −0.280916 | + | 1.75168i | ||||
\(540\) | 2.24418 | − | 23.6167i | 0.0965740 | − | 1.01630i | ||||
\(541\) | −30.3728 | − | 17.5358i | −1.30583 | − | 0.753921i | −0.324432 | − | 0.945909i | \(-0.605173\pi\) |
−0.981397 | + | 0.191988i | \(0.938506\pi\) | |||||||
\(542\) | 26.8521 | − | 5.60625i | 1.15340 | − | 0.240809i | ||||
\(543\) | −1.14957 | + | 4.29027i | −0.0493330 | + | 0.184113i | ||||
\(544\) | 7.67804 | + | 30.8757i | 0.329193 | + | 1.32379i | ||||
\(545\) | −1.56501 | − | 0.390611i | −0.0670377 | − | 0.0167320i | ||||
\(546\) | −10.5778 | − | 8.19391i | −0.452688 | − | 0.350667i | ||||
\(547\) | 14.6808 | + | 14.6808i | 0.627707 | + | 0.627707i | 0.947490 | − | 0.319784i | \(-0.103610\pi\) |
−0.319784 | + | 0.947490i | \(0.603610\pi\) | |||||||
\(548\) | 1.09332 | + | 0.428779i | 0.0467045 | + | 0.0183165i | ||||
\(549\) | −0.486184 | − | 0.842096i | −0.0207498 | − | 0.0359398i | ||||
\(550\) | 11.6321 | − | 39.9462i | 0.495996 | − | 1.70331i | ||||
\(551\) | −18.6694 | − | 10.7788i | −0.795341 | − | 0.459191i | ||||
\(552\) | 7.17399 | + | 10.1027i | 0.305345 | + | 0.429998i | ||||
\(553\) | 4.16114 | − | 3.54699i | 0.176950 | − | 0.150833i | ||||
\(554\) | −23.7883 | + | 12.0127i | −1.01067 | + | 0.510370i | ||||
\(555\) | −28.2784 | − | 27.3216i | −1.20035 | − | 1.15974i | ||||
\(556\) | 25.8116 | + | 2.90166i | 1.09466 | + | 0.123058i | ||||
\(557\) | 24.0959 | + | 6.45647i | 1.02098 | + | 0.273569i | 0.730208 | − | 0.683224i | \(-0.239423\pi\) |
0.290767 | + | 0.956794i | \(0.406090\pi\) | |||||||
\(558\) | −0.170547 | + | 0.152449i | −0.00721985 | + | 0.00645370i | ||||
\(559\) | −23.0117 | −0.973289 | ||||||||
\(560\) | 23.0006 | − | 5.56537i | 0.971952 | − | 0.235180i | ||||
\(561\) | −56.0364 | −2.36586 | ||||||||
\(562\) | 17.1766 | − | 15.3539i | 0.724552 | − | 0.647664i | ||||
\(563\) | 19.2833 | + | 5.16693i | 0.812693 | + | 0.217760i | 0.641149 | − | 0.767416i | \(-0.278458\pi\) |
0.171543 | + | 0.985177i | \(0.445125\pi\) | |||||||
\(564\) | 14.4924 | + | 1.62919i | 0.610239 | + | 0.0686011i | ||||
\(565\) | 0.162377 | + | 9.43600i | 0.00683126 | + | 0.396975i | ||||
\(566\) | 7.32422 | − | 3.69860i | 0.307860 | − | 0.155464i | ||||
\(567\) | 4.11725 | + | 22.3354i | 0.172908 | + | 0.937997i | ||||
\(568\) | −6.19452 | + | 4.39878i | −0.259916 | + | 0.184569i | ||||
\(569\) | 31.1711 | + | 17.9967i | 1.30676 | + | 0.754460i | 0.981554 | − | 0.191183i | \(-0.0612323\pi\) |
0.325208 | + | 0.945642i | \(0.394566\pi\) | |||||||
\(570\) | 14.0704 | − | 13.0197i | 0.589346 | − | 0.545336i | ||||
\(571\) | 14.1980 | + | 24.5916i | 0.594167 | + | 1.02913i | 0.993664 | + | 0.112393i | \(0.0358517\pi\) |
−0.399496 | + | 0.916735i | \(0.630815\pi\) | |||||||
\(572\) | −23.1362 | − | 9.07355i | −0.967374 | − | 0.379384i | ||||
\(573\) | −0.0276066 | − | 0.0276066i | −0.00115328 | − | 0.00115328i | ||||
\(574\) | −8.46283 | + | 3.46007i | −0.353232 | + | 0.144421i | ||||
\(575\) | −3.77590 | − | 12.3723i | −0.157466 | − | 0.515959i | ||||
\(576\) | 0.804301 | − | 0.693219i | 0.0335125 | − | 0.0288841i | ||||
\(577\) | 5.14724 | − | 19.2098i | 0.214283 | − | 0.799713i | −0.772135 | − | 0.635458i | \(-0.780811\pi\) |
0.986418 | − | 0.164255i | \(-0.0525221\pi\) | |||||||
\(578\) | −20.2577 | + | 4.22946i | −0.842610 | + | 0.175922i | ||||
\(579\) | 11.0856 | + | 6.40025i | 0.460700 | + | 0.265985i | ||||
\(580\) | −17.1552 | − | 20.7579i | −0.712330 | − | 0.861923i | ||||
\(581\) | 2.36565 | − | 1.12555i | 0.0981438 | − | 0.0466956i | ||||
\(582\) | −8.72565 | − | 2.87004i | −0.361690 | − | 0.118967i | ||||
\(583\) | −27.5673 | + | 7.38663i | −1.14172 | + | 0.305923i | ||||
\(584\) | 1.52552 | + | 4.10664i | 0.0631265 | + | 0.169934i | ||||
\(585\) | 0.548111 | + | 0.304000i | 0.0226616 | + | 0.0125688i | ||||
\(586\) | 22.9718 | + | 1.28716i | 0.948957 | + | 0.0531719i | ||||
\(587\) | −23.6343 | − | 23.6343i | −0.975491 | − | 0.975491i | 0.0242162 | − | 0.999707i | \(-0.492291\pi\) |
−0.999707 | + | 0.0242162i | \(0.992291\pi\) | |||||||
\(588\) | −20.6380 | + | 11.6645i | −0.851095 | + | 0.481035i | ||||
\(589\) | −4.36293 | −0.179771 | ||||||||
\(590\) | 4.27930 | + | 8.12369i | 0.176176 | + | 0.334447i | ||||
\(591\) | −18.7828 | + | 10.8443i | −0.772621 | + | 0.446073i | ||||
\(592\) | −1.57422 | − | 41.5100i | −0.0647000 | − | 1.70605i | ||||
\(593\) | −7.02493 | − | 26.2174i | −0.288479 | − | 1.07662i | −0.946259 | − | 0.323410i | \(-0.895171\pi\) |
0.657780 | − | 0.753210i | \(-0.271496\pi\) | |||||||
\(594\) | 19.8971 | + | 39.4015i | 0.816387 | + | 1.61666i | ||||
\(595\) | 6.59416 | + | 32.6141i | 0.270334 | + | 1.33705i | ||||
\(596\) | 2.80601 | + | 2.06983i | 0.114939 | + | 0.0847836i | ||||
\(597\) | −0.260318 | − | 0.971519i | −0.0106541 | − | 0.0397616i | ||||
\(598\) | −7.56366 | + | 1.57916i | −0.309301 | + | 0.0645767i | ||||
\(599\) | 13.9732 | + | 24.2023i | 0.570929 | + | 0.988878i | 0.996471 | + | 0.0839390i | \(0.0267501\pi\) |
−0.425542 | + | 0.904939i | \(0.639917\pi\) | |||||||
\(600\) | 22.1479 | − | 9.10637i | 0.904183 | − | 0.371766i | ||||
\(601\) | 5.36533 | 0.218856 | 0.109428 | − | 0.993995i | \(-0.465098\pi\) | ||||
0.109428 | + | 0.993995i | \(0.465098\pi\) | |||||||
\(602\) | −15.7747 | + | 37.5952i | −0.642927 | + | 1.53227i | ||||
\(603\) | −0.803827 | + | 0.803827i | −0.0327344 | + | 0.0327344i | ||||
\(604\) | −12.5085 | − | 28.6501i | −0.508965 | − | 1.16576i | ||||
\(605\) | 14.5456 | + | 50.7737i | 0.591361 | + | 2.06424i | ||||
\(606\) | 4.28494 | − | 6.54631i | 0.174064 | − | 0.265926i | ||||
\(607\) | −7.53008 | − | 28.1026i | −0.305636 | − | 1.14065i | −0.932396 | − | 0.361438i | \(-0.882286\pi\) |
0.626760 | − | 0.779213i | \(-0.284381\pi\) | |||||||
\(608\) | 20.2485 | + | 0.365885i | 0.821184 | + | 0.0148386i | ||||
\(609\) | 22.2177 | + | 15.3015i | 0.900305 | + | 0.620047i | ||||
\(610\) | 12.3524 | − | 19.5993i | 0.500136 | − | 0.793552i | ||||
\(611\) | −4.54712 | + | 7.87585i | −0.183957 | + | 0.318623i | ||||
\(612\) | 0.931168 | + | 1.16704i | 0.0376402 | + | 0.0471749i | ||||
\(613\) | −3.55308 | + | 13.2603i | −0.143508 | + | 0.535578i | 0.856310 | + | 0.516463i | \(0.172752\pi\) |
−0.999817 | + | 0.0191152i | \(0.993915\pi\) | |||||||
\(614\) | −24.6289 | − | 1.38001i | −0.993943 | − | 0.0556926i | ||||
\(615\) | −7.93171 | + | 4.76319i | −0.319837 | + | 0.192070i | ||||
\(616\) | −30.6840 | + | 31.5788i | −1.23629 | + | 1.27235i | ||||
\(617\) | −19.3575 | − | 19.3575i | −0.779304 | − | 0.779304i | 0.200409 | − | 0.979712i | \(-0.435773\pi\) |
−0.979712 | + | 0.200409i | \(0.935773\pi\) | |||||||
\(618\) | 30.1205 | − | 26.9242i | 1.21162 | − | 1.08305i | ||||
\(619\) | −3.77825 | + | 2.18138i | −0.151861 | + | 0.0876769i | −0.574005 | − | 0.818852i | \(-0.694611\pi\) |
0.422144 | + | 0.906529i | \(0.361278\pi\) | |||||||
\(620\) | −5.10735 | − | 1.90227i | −0.205116 | − | 0.0763970i | ||||
\(621\) | 11.8852 | + | 6.86190i | 0.476935 | + | 0.275358i | ||||
\(622\) | 8.62730 | − | 26.2292i | 0.345923 | − | 1.05170i | ||||
\(623\) | −6.37497 | − | 7.47878i | −0.255408 | − | 0.299631i | ||||
\(624\) | −4.22311 | − | 13.6664i | −0.169060 | − | 0.547095i | ||||
\(625\) | −24.9408 | + | 1.71930i | −0.997632 | + | 0.0687719i | ||||
\(626\) | 37.3515 | + | 24.4487i | 1.49286 | + | 0.977165i | ||||
\(627\) | −9.23173 | + | 34.4533i | −0.368680 | + | 1.37593i | ||||
\(628\) | 17.5052 | − | 44.6356i | 0.698533 | − | 1.78116i | ||||
\(629\) | 58.4086 | 2.32890 | ||||||||
\(630\) | 0.872393 | − | 0.687082i | 0.0347570 | − | 0.0273740i | ||||
\(631\) | − | 5.99910i | − | 0.238820i | −0.992845 | − | 0.119410i | \(-0.961900\pi\) | ||
0.992845 | − | 0.119410i | \(-0.0381003\pi\) | |||||||
\(632\) | 5.81953 | − | 0.547943i | 0.231488 | − | 0.0217960i | ||||
\(633\) | −6.78861 | − | 1.81900i | −0.269823 | − | 0.0722988i | ||||
\(634\) | 13.2268 | + | 8.65768i | 0.525302 | + | 0.343840i | ||||
\(635\) | 0.337698 | + | 19.6242i | 0.0134011 | + | 0.778762i | ||||
\(636\) | −13.2194 | − | 9.75116i | −0.524181 | − | 0.386659i | ||||
\(637\) | −1.51677 | − | 14.7050i | −0.0600967 | − | 0.582633i | ||||
\(638\) | 47.5974 | + | 15.6557i | 1.88440 | + | 0.619815i | ||||
\(639\) | −0.178259 | + | 0.308754i | −0.00705183 | + | 0.0122141i | ||||
\(640\) | 23.5438 | + | 9.25680i | 0.930651 | + | 0.365907i | ||||
\(641\) | −17.7597 | − | 30.7607i | −0.701466 | − | 1.21498i | −0.967952 | − | 0.251137i | \(-0.919196\pi\) |
0.266485 | − | 0.963839i | \(-0.414138\pi\) | |||||||
\(642\) | 21.8320 | − | 19.5152i | 0.861640 | − | 0.770205i | ||||
\(643\) | 16.7157 | − | 16.7157i | 0.659204 | − | 0.659204i | −0.295988 | − | 0.955192i | \(-0.595649\pi\) |
0.955192 | + | 0.295988i | \(0.0956488\pi\) | |||||||
\(644\) | −2.60499 | + | 13.4396i | −0.102651 | + | 0.529596i | ||||
\(645\) | −9.99096 | + | 40.0295i | −0.393394 | + | 1.57616i | ||||
\(646\) | −1.59305 | + | 28.4311i | −0.0626778 | + | 1.11861i | ||||
\(647\) | −16.0770 | − | 4.30781i | −0.632051 | − | 0.169358i | −0.0714508 | − | 0.997444i | \(-0.522763\pi\) |
−0.560600 | + | 0.828087i | \(0.689430\pi\) | |||||||
\(648\) | −10.1153 | + | 22.0723i | −0.397368 | + | 0.867083i | ||||
\(649\) | −14.7954 | − | 8.54211i | −0.580769 | − | 0.335307i | ||||
\(650\) | −0.321937 | + | 14.9296i | −0.0126274 | + | 0.585588i | ||||
\(651\) | 5.44251 | + | 0.433638i | 0.213309 | + | 0.0169956i | ||||
\(652\) | 16.7244 | − | 2.52512i | 0.654978 | − | 0.0988914i | ||||
\(653\) | 13.6747 | − | 3.66413i | 0.535133 | − | 0.143388i | 0.0188753 | − | 0.999822i | \(-0.493991\pi\) |
0.516257 | + | 0.856433i | \(0.327325\pi\) | |||||||
\(654\) | 1.44535 | + | 0.946064i | 0.0565176 | + | 0.0369940i | ||||
\(655\) | −6.15927 | − | 21.5000i | −0.240663 | − | 0.840073i | ||||
\(656\) | −9.53015 | − | 2.17012i | −0.372090 | − | 0.0847291i | ||||
\(657\) | 0.145364 | + | 0.145364i | 0.00567118 | + | 0.00567118i | ||||
\(658\) | 9.75006 | + | 12.8278i | 0.380097 | + | 0.500080i | ||||
\(659\) | − | 12.6643i | − | 0.493332i | −0.969101 | − | 0.246666i | \(-0.920665\pi\) | ||
0.969101 | − | 0.246666i | \(-0.0793350\pi\) | |||||||
\(660\) | −25.8288 | + | 36.3067i | −1.00538 | + | 1.41324i | ||||
\(661\) | 4.18665 | − | 2.41717i | 0.162842 | − | 0.0940169i | −0.416364 | − | 0.909198i | \(-0.636696\pi\) |
0.579206 | + | 0.815181i | \(0.303363\pi\) | |||||||
\(662\) | −0.428559 | − | 2.05266i | −0.0166564 | − | 0.0797788i | ||||
\(663\) | 19.4274 | − | 5.20556i | 0.754498 | − | 0.202167i | ||||
\(664\) | 2.76125 | + | 0.468079i | 0.107157 | + | 0.0181650i | ||||
\(665\) | 21.1387 | + | 1.31868i | 0.819725 | + | 0.0511363i | ||||
\(666\) | −0.878683 | − | 1.74003i | −0.0340483 | − | 0.0674247i | ||||
\(667\) | 15.0477 | − | 4.03203i | 0.582651 | − | 0.156121i | ||||
\(668\) | −2.42381 | − | 3.03779i | −0.0937801 | − | 0.117536i | ||||
\(669\) | −21.4114 | − | 37.0856i | −0.827811 | − | 1.43381i | ||||
\(670\) | −25.8701 | − | 8.01862i | −0.999450 | − | 0.309786i | ||||
\(671\) | 43.1058i | 1.66408i | ||||||||
\(672\) | −25.2225 | − | 2.46895i | −0.972978 | − | 0.0952417i | ||||
\(673\) | 8.02068 | − | 8.02068i | 0.309175 | − | 0.309175i | −0.535415 | − | 0.844589i | \(-0.679845\pi\) |
0.844589 | + | 0.535415i | \(0.179845\pi\) | |||||||
\(674\) | 37.2085 | + | 2.08486i | 1.43322 | + | 0.0803060i | ||||
\(675\) | 18.0984 | − | 19.3890i | 0.696608 | − | 0.746282i | ||||
\(676\) | −16.9732 | − | 1.90807i | −0.652815 | − | 0.0733875i | ||||
\(677\) | 9.51804 | + | 35.5218i | 0.365808 | + | 1.36521i | 0.866322 | + | 0.499485i | \(0.166478\pi\) |
−0.500514 | + | 0.865728i | \(0.666856\pi\) | |||||||
\(678\) | 3.15791 | − | 9.60086i | 0.121279 | − | 0.368719i | ||||
\(679\) | −4.36019 | − | 9.16416i | −0.167329 | − | 0.351688i | ||||
\(680\) | −14.2611 | + | 32.5876i | −0.546887 | + | 1.24968i | ||||
\(681\) | 2.18032 | − | 3.77642i | 0.0835499 | − | 0.144713i | ||||
\(682\) | 9.92668 | − | 2.07252i | 0.380112 | − | 0.0793608i | ||||
\(683\) | −24.4227 | − | 6.54404i | −0.934508 | − | 0.250401i | −0.240732 | − | 0.970592i | \(-0.577388\pi\) |
−0.693776 | + | 0.720191i | \(0.744054\pi\) | |||||||
\(684\) | 0.870946 | − | 0.380252i | 0.0333015 | − | 0.0145393i | ||||
\(685\) | 0.675976 | + | 1.12564i | 0.0258277 | + | 0.0430086i | ||||
\(686\) | −25.0640 | − | 7.60235i | −0.956948 | − | 0.290259i | ||||
\(687\) | 16.9034 | − | 16.9034i | 0.644907 | − | 0.644907i | ||||
\(688\) | −36.8933 | + | 23.2076i | −1.40654 | + | 0.884782i | ||||
\(689\) | 8.87117 | − | 5.12178i | 0.337965 | − | 0.195124i | ||||
\(690\) | −0.536913 | + | 13.8428i | −0.0204399 | + | 0.526988i | ||||
\(691\) | 0.367720 | − | 0.636909i | 0.0139887 | − | 0.0242292i | −0.858946 | − | 0.512066i | \(-0.828880\pi\) |
0.872935 | + | 0.487836i | \(0.162214\pi\) | |||||||
\(692\) | 4.54322 | + | 30.0907i | 0.172707 | + | 1.14387i | ||||
\(693\) | −0.691597 | + | 1.94702i | −0.0262716 | + | 0.0739610i | ||||
\(694\) | 3.98793 | + | 7.89716i | 0.151380 | + | 0.299772i | ||||
\(695\) | 20.8847 | + | 20.1781i | 0.792202 | + | 0.765398i | ||||
\(696\) | 10.0427 | + | 27.0346i | 0.380669 | + | 1.02474i | ||||
\(697\) | 3.55701 | − | 13.2749i | 0.134731 | − | 0.502824i | ||||
\(698\) | −27.4067 | + | 24.4983i | −1.03736 | + | 0.927276i | ||||
\(699\) | 0.661135i | 0.0250064i | ||||||||
\(700\) | 24.1705 | + | 10.7603i | 0.913561 | + | 0.406702i | ||||
\(701\) | − | 17.9127i | − | 0.676552i | −0.941047 | − | 0.338276i | \(-0.890156\pi\) | ||
0.941047 | − | 0.338276i | \(-0.109844\pi\) | |||||||
\(702\) | −10.5584 | − | 11.8119i | −0.398501 | − | 0.445810i | ||||
\(703\) | 9.62253 | − | 35.9118i | 0.362921 | − | 1.35444i | ||||
\(704\) | −46.2438 | + | 8.78614i | −1.74288 | + | 0.331140i | ||||
\(705\) | 11.7261 | + | 11.3293i | 0.441629 | + | 0.426687i | ||||
\(706\) | −16.9353 | + | 8.55200i | −0.637367 | + | 0.321859i | ||||
\(707\) | 8.50103 | − | 1.56706i | 0.319714 | − | 0.0589354i | ||||
\(708\) | −1.46802 | − | 9.72302i | −0.0551717 | − | 0.365413i | ||||
\(709\) | 15.5470 | − | 26.9282i | 0.583880 | − | 1.01131i | −0.411134 | − | 0.911575i | \(-0.634867\pi\) |
0.995014 | − | 0.0997345i | \(-0.0317993\pi\) | |||||||
\(710\) | −8.48783 | − | 0.329211i | −0.318543 | − | 0.0123551i | ||||
\(711\) | 0.237547 | − | 0.137148i | 0.00890870 | − | 0.00514344i | ||||
\(712\) | −0.984812 | − | 10.4594i | −0.0369074 | − | 0.391982i | ||||
\(713\) | 2.22942 | − | 2.22942i | 0.0834925 | − | 0.0834925i | ||||
\(714\) | 4.81306 | − | 35.3079i | 0.180124 | − | 1.32137i | ||||
\(715\) | −14.3046 | − | 23.8201i | −0.534961 | − | 0.890822i | ||||
\(716\) | 8.68321 | + | 19.8884i | 0.324507 | + | 0.743265i | ||||
\(717\) | −14.2873 | − | 3.82826i | −0.533567 | − | 0.142969i | ||||
\(718\) | −2.31765 | − | 11.1008i | −0.0864940 | − | 0.414278i | ||||
\(719\) | −18.0789 | + | 31.3137i | −0.674231 | + | 1.16780i | 0.302462 | + | 0.953161i | \(0.402191\pi\) |
−0.976693 | + | 0.214641i | \(0.931142\pi\) | |||||||
\(720\) | 1.18534 | − | 0.0653931i | 0.0441751 | − | 0.00243706i | ||||
\(721\) | 44.4945 | + | 3.54514i | 1.65706 | + | 0.132028i | ||||
\(722\) | −8.30670 | − | 2.73223i | −0.309143 | − | 0.101683i | ||||
\(723\) | 2.41548 | + | 9.01468i | 0.0898326 | + | 0.335260i | ||||
\(724\) | −5.21326 | − | 0.586058i | −0.193749 | − | 0.0217807i | ||||
\(725\) | −1.03590 | − | 30.0901i | −0.0384725 | − | 1.11752i | ||||
\(726\) | 3.16436 | − | 56.4742i | 0.117440 | − | 2.09596i | ||||
\(727\) | 24.4719 | − | 24.4719i | 0.907613 | − | 0.907613i | −0.0884663 | − | 0.996079i | \(-0.528197\pi\) |
0.996079 | + | 0.0884663i | \(0.0281965\pi\) | |||||||
\(728\) | 7.70435 | − | 13.7985i | 0.285542 | − | 0.511408i | ||||
\(729\) | 28.0865i | 1.04024i | ||||||||
\(730\) | −1.45008 | + | 4.67834i | −0.0536700 | + | 0.173153i | ||||
\(731\) | −30.6426 | − | 53.0745i | −1.13336 | − | 1.96303i | ||||
\(732\) | −19.3937 | + | 15.4740i | −0.716814 | + | 0.571936i | ||||
\(733\) | 17.4838 | − | 4.68477i | 0.645779 | − | 0.173036i | 0.0789595 | − | 0.996878i | \(-0.474840\pi\) |
0.566820 | + | 0.823842i | \(0.308174\pi\) | |||||||
\(734\) | −13.8254 | + | 6.98160i | −0.510306 | + | 0.257695i | ||||
\(735\) | −26.2383 | − | 3.74599i | −0.967815 | − | 0.138173i | ||||
\(736\) | −10.5338 | + | 10.1598i | −0.388280 | + | 0.374497i | ||||
\(737\) | 48.6773 | − | 13.0430i | 1.79305 | − | 0.480446i | ||||
\(738\) | −0.448979 | + | 0.0937391i | −0.0165272 | + | 0.00345058i | ||||
\(739\) | 8.96021 | − | 5.17318i | 0.329607 | − | 0.190299i | −0.326060 | − | 0.945349i | \(-0.605721\pi\) |
0.655666 | + | 0.755051i | \(0.272388\pi\) | |||||||
\(740\) | 26.9222 | − | 37.8437i | 0.989679 | − | 1.39116i | ||||
\(741\) | − | 12.8023i | − | 0.470304i | ||||||
\(742\) | −2.28644 | − | 18.0043i | −0.0839377 | − | 0.660958i | ||||
\(743\) | 30.8558 | + | 30.8558i | 1.13199 | + | 1.13199i | 0.989846 | + | 0.142142i | \(0.0453990\pi\) |
0.142142 | + | 0.989846i | \(0.454601\pi\) | |||||||
\(744\) | 4.49590 | + | 3.72213i | 0.164828 | + | 0.136460i | ||||
\(745\) | 1.07361 | + | 3.74763i | 0.0393342 | + | 0.137302i | ||||
\(746\) | 12.8450 | − | 19.6240i | 0.470290 | − | 0.718486i | ||||
\(747\) | 0.126945 | − | 0.0340149i | 0.00464468 | − | 0.00124454i | ||||
\(748\) | −9.88106 | − | 65.4442i | −0.361287 | − | 2.39288i | ||||
\(749\) | 32.2506 | + | 2.56960i | 1.17841 | + | 0.0938911i | ||||
\(750\) | 25.8308 | + | 7.04201i | 0.943206 | + | 0.257138i | ||||
\(751\) | 15.7518 | + | 9.09428i | 0.574790 | + | 0.331855i | 0.759060 | − | 0.651020i | \(-0.225659\pi\) |
−0.184270 | + | 0.982876i | \(0.558992\pi\) | |||||||
\(752\) | 0.652772 | + | 17.2127i | 0.0238042 | + | 0.627684i | ||||
\(753\) | −8.47614 | − | 2.27117i | −0.308888 | − | 0.0827662i | ||||
\(754\) | −17.9560 | − | 1.00611i | −0.653919 | − | 0.0366404i | ||||
\(755\) | 8.46393 | − | 33.9113i | 0.308034 | − | 1.23416i | ||||
\(756\) | −26.5355 | + | 9.15266i | −0.965085 | + | 0.332879i | ||||
\(757\) | −31.7850 | + | 31.7850i | −1.15525 | + | 1.15525i | −0.169759 | + | 0.985486i | \(0.554299\pi\) |
−0.985486 | + | 0.169759i | \(0.945701\pi\) | |||||||
\(758\) | −8.88085 | − | 9.93515i | −0.322567 | − | 0.360861i | ||||
\(759\) | −12.8880 | − | 22.3227i | −0.467805 | − | 0.810262i | ||||
\(760\) | 17.6866 | + | 14.1369i | 0.641561 | + | 0.512799i | ||||
\(761\) | −5.69291 | + | 9.86041i | −0.206368 | + | 0.357440i | −0.950568 | − | 0.310517i | \(-0.899498\pi\) |
0.744200 | + | 0.667957i | \(0.232831\pi\) | |||||||
\(762\) | 6.56755 | − | 19.9670i | 0.237917 | − | 0.723329i | ||||
\(763\) | 0.345989 | + | 1.87693i | 0.0125256 | + | 0.0679494i | ||||
\(764\) | 0.0273734 | − | 0.0371093i | 0.000990335 | − | 0.00134257i | ||||
\(765\) | 0.0287203 | + | 1.66898i | 0.00103838 | + | 0.0603422i | ||||
\(766\) | 1.58959 | − | 2.42850i | 0.0574343 | − | 0.0877453i | ||||
\(767\) | 5.92297 | + | 1.58706i | 0.213866 | + | 0.0573052i | ||||
\(768\) | −20.5535 | − | 17.6515i | −0.741659 | − | 0.636945i | ||||
\(769\) | 5.34692i | 0.192815i | 0.995342 | + | 0.0964074i | \(0.0307352\pi\) | ||||
−0.995342 | + | 0.0964074i | \(0.969265\pi\) | |||||||
\(770\) | −48.7219 | + | 7.04120i | −1.75582 | + | 0.253747i | ||||
\(771\) | 34.7485 | 1.25144 | ||||||||
\(772\) | −5.52003 | + | 14.0753i | −0.198670 | + | 0.506580i | ||||
\(773\) | 3.57509 | − | 13.3424i | 0.128587 | − | 0.479893i | −0.871355 | − | 0.490653i | \(-0.836758\pi\) |
0.999942 | + | 0.0107597i | \(0.00342499\pi\) | |||||||
\(774\) | −1.12014 | + | 1.71130i | −0.0402627 | + | 0.0615113i | ||||
\(775\) | −3.22646 | − | 5.16909i | −0.115898 | − | 0.185679i | ||||
\(776\) | 1.81326 | − | 10.6967i | 0.0650923 | − | 0.383988i | ||||
\(777\) | −15.5729 | + | 43.8416i | −0.558675 | + | 1.57281i | ||||
\(778\) | −42.6014 | − | 14.0124i | −1.52733 | − | 0.502370i | ||||
\(779\) | −7.57593 | − | 4.37396i | −0.271436 | − | 0.156714i | ||||
\(780\) | 5.58189 | − | 14.9867i | 0.199864 | − | 0.536609i | ||||
\(781\) | 13.6873 | − | 7.90237i | 0.489770 | − | 0.282769i | ||||
\(782\) | −13.7140 | − | 15.3421i | −0.490413 | − | 0.548633i | ||||
\(783\) | 22.5867 | + | 22.5867i | 0.807182 | + | 0.807182i | ||||
\(784\) | −17.2620 | − | 22.0460i | −0.616498 | − | 0.787356i | ||||
\(785\) | 45.9550 | − | 27.5971i | 1.64020 | − | 0.984984i | ||||
\(786\) | −1.33994 | + | 23.9138i | −0.0477940 | + | 0.852978i | ||||
\(787\) | −1.35358 | + | 5.05164i | −0.0482500 | + | 0.180072i | −0.985845 | − | 0.167656i | \(-0.946380\pi\) |
0.937595 | + | 0.347728i | \(0.113047\pi\) | |||||||
\(788\) | −15.9769 | − | 20.0240i | −0.569153 | − | 0.713325i | ||||
\(789\) | −9.23995 | + | 16.0041i | −0.328951 | + | 0.569760i | ||||
\(790\) | 5.52876 | + | 3.48450i | 0.196704 | + | 0.123973i | ||||
\(791\) | 10.0833 | − | 4.79753i | 0.358523 | − | 0.170581i | ||||
\(792\) | −1.80097 | + | 1.27889i | −0.0639949 | + | 0.0454433i | ||||
\(793\) | −4.00436 | − | 14.9445i | −0.142199 | − | 0.530693i | ||||
\(794\) | 1.32375 | + | 0.866470i | 0.0469781 | + | 0.0307499i | ||||
\(795\) | −5.05789 | − | 17.6554i | −0.179385 | − | 0.626173i | ||||
\(796\) | 1.08872 | − | 0.475332i | 0.0385887 | − | 0.0168477i | ||||
\(797\) | −21.8462 | + | 21.8462i | −0.773831 | + | 0.773831i | −0.978774 | − | 0.204943i | \(-0.934299\pi\) |
0.204943 | + | 0.978774i | \(0.434299\pi\) | |||||||
\(798\) | −20.9157 | − | 8.77606i | −0.740408 | − | 0.310669i | ||||
\(799\) | −24.2200 | −0.856841 | ||||||||
\(800\) | 14.5406 | + | 24.2605i | 0.514088 | + | 0.857737i | ||||
\(801\) | −0.246494 | − | 0.426941i | −0.00870945 | − | 0.0150852i | ||||
\(802\) | −7.27915 | − | 34.8647i | −0.257036 | − | 1.23112i | ||||
\(803\) | −2.35870 | − | 8.80277i | −0.0832366 | − | 0.310643i | ||||
\(804\) | 23.3423 | + | 17.2183i | 0.823218 | + | 0.607241i | ||||
\(805\) | −11.4756 | + | 10.1279i | −0.404460 | + | 0.356961i | ||||
\(806\) | −3.24898 | + | 1.64067i | −0.114440 | + | 0.0577903i | ||||
\(807\) | 1.52893 | + | 5.70604i | 0.0538209 | + | 0.200862i | ||||
\(808\) | 8.40093 | + | 3.84999i | 0.295544 | + | 0.135442i | ||||
\(809\) | −40.9620 | + | 23.6494i | −1.44015 | + | 0.831468i | −0.997859 | − | 0.0654051i | \(-0.979166\pi\) |
−0.442287 | + | 0.896874i | \(0.645833\pi\) | |||||||
\(810\) | −24.0172 | + | 12.6515i | −0.843878 | + | 0.444528i | ||||
\(811\) | −52.5118 | −1.84394 | −0.921969 | − | 0.387265i | \(-0.873420\pi\) | ||||
−0.921969 | + | 0.387265i | \(0.873420\pi\) | |||||||
\(812\) | −13.9527 | + | 28.6459i | −0.489644 | + | 1.00527i | ||||
\(813\) | −23.2246 | − | 23.2246i | −0.814522 | − | 0.814522i | ||||
\(814\) | −4.83436 | + | 86.2787i | −0.169444 | + | 3.02407i | ||||
\(815\) | 16.5371 | + | 9.17201i | 0.579270 | + | 0.321281i | ||||
\(816\) | 25.8970 | − | 27.9386i | 0.906575 | − | 0.978047i | ||||
\(817\) | −37.6804 | + | 10.0964i | −1.31827 | + | 0.353229i | ||||
\(818\) | 12.3791 | − | 37.6357i | 0.432826 | − | 1.31590i | ||||
\(819\) | 0.0589015 | − | 0.739263i | 0.00205819 | − | 0.0258319i | ||||
\(820\) | −6.96148 | − | 8.42343i | −0.243106 | − | 0.294159i | ||||
\(821\) | −16.8517 | − | 9.72931i | −0.588127 | − | 0.339555i | 0.176229 | − | 0.984349i | \(-0.443610\pi\) |
−0.764357 | + | 0.644794i | \(0.776943\pi\) | |||||||
\(822\) | −0.287385 | − | 1.37648i | −0.0100237 | − | 0.0480102i | ||||
\(823\) | −10.7444 | + | 40.0987i | −0.374527 | + | 1.39775i | 0.479509 | + | 0.877537i | \(0.340815\pi\) |
−0.854035 | + | 0.520215i | \(0.825852\pi\) | |||||||
\(824\) | 36.7556 | + | 30.4297i | 1.28044 | + | 1.06007i | ||||
\(825\) | −47.6464 | + | 14.5413i | −1.65884 | + | 0.506262i | ||||
\(826\) | 6.65309 | − | 8.58870i | 0.231491 | − | 0.298839i | ||||
\(827\) | 15.7682 | + | 15.7682i | 0.548315 | + | 0.548315i | 0.925953 | − | 0.377638i | \(-0.123264\pi\) |
−0.377638 | + | 0.925953i | \(0.623264\pi\) | |||||||
\(828\) | −0.250741 | + | 0.639352i | −0.00871384 | + | 0.0222190i | ||||
\(829\) | −4.45721 | − | 7.72011i | −0.154805 | − | 0.268131i | 0.778183 | − | 0.628038i | \(-0.216142\pi\) |
−0.932988 | + | 0.359907i | \(0.882808\pi\) | |||||||
\(830\) | 2.12663 | + | 2.29826i | 0.0738164 | + | 0.0797736i | ||||
\(831\) | 27.6336 | + | 15.9543i | 0.958599 | + | 0.553447i | ||||
\(832\) | 15.2162 | − | 7.34195i | 0.527526 | − | 0.254536i | ||||
\(833\) | 31.8961 | − | 23.0796i | 1.10513 | − | 0.799661i | ||||
\(834\) | −14.0189 | − | 27.7613i | −0.485436 | − | 0.961294i | ||||
\(835\) | −0.0747583 | − | 4.34433i | −0.00258712 | − | 0.150342i | ||||
\(836\) | −41.8654 | − | 4.70638i | −1.44795 | − | 0.162773i | ||||
\(837\) | 6.24440 | + | 1.67318i | 0.215838 | + | 0.0578336i | ||||
\(838\) | 37.7635 | + | 42.2467i | 1.30452 | + | 1.45939i | ||||
\(839\) | −13.9480 | −0.481540 | −0.240770 | − | 0.970582i | \(-0.577400\pi\) | ||||
−0.240770 | + | 0.970582i | \(0.577400\pi\) | |||||||
\(840\) | −20.6580 | − | 19.3929i | −0.712769 | − | 0.669118i | ||||
\(841\) | 7.25944 | 0.250326 | ||||||||
\(842\) | −30.1045 | − | 33.6784i | −1.03747 | − | 1.16063i | ||||
\(843\) | −26.6453 | − | 7.13957i | −0.917711 | − | 0.245900i | ||||
\(844\) | 0.927336 | − | 8.24908i | 0.0319202 | − | 0.283945i | ||||
\(845\) | −13.7333 | − | 13.2687i | −0.472441 | − | 0.456457i | ||||
\(846\) | 0.364358 | + | 0.721528i | 0.0125269 | + | 0.0248066i | ||||
\(847\) | 47.5592 | − | 40.5398i | 1.63415 | − | 1.39297i | ||||
\(848\) | 9.05725 | − | 17.1582i | 0.311027 | − | 0.589214i | ||||
\(849\) | −8.50814 | − | 4.91218i | −0.291999 | − | 0.168585i | ||||
\(850\) | −34.8626 | + | 19.1379i | −1.19578 | + | 0.656425i | ||||
\(851\) | 13.4336 | + | 23.2677i | 0.460498 | + | 0.797605i | ||||
\(852\) | 8.46879 | + | 3.32128i | 0.290136 | + | 0.113785i | ||||
\(853\) | 6.45667 | + | 6.45667i | 0.221072 | + | 0.221072i | 0.808950 | − | 0.587878i | \(-0.200036\pi\) |
−0.587878 | + | 0.808950i | \(0.700036\pi\) | |||||||
\(854\) | −27.1605 | − | 3.70243i | −0.929413 | − | 0.126694i | ||||
\(855\) | 1.03088 | + | 0.257298i | 0.0352555 | + | 0.00879942i | ||||
\(856\) | 26.6413 | + | 22.0561i | 0.910580 | + | 0.753863i | ||||
\(857\) | −0.813965 | + | 3.03776i | −0.0278045 | + | 0.103768i | −0.978434 | − | 0.206561i | \(-0.933773\pi\) |
0.950629 | + | 0.310329i | \(0.100439\pi\) | |||||||
\(858\) | 6.08146 | + | 29.1282i | 0.207618 | + | 0.994420i | ||||
\(859\) | 30.8952 | + | 17.8374i | 1.05413 | + | 0.608603i | 0.923803 | − | 0.382867i | \(-0.125063\pi\) |
0.130329 | + | 0.991471i | \(0.458397\pi\) | |||||||
\(860\) | −48.5117 | − | 4.60981i | −1.65423 | − | 0.157193i | ||||
\(861\) | 9.01582 | + | 6.20926i | 0.307258 | + | 0.211611i | ||||
\(862\) | −3.70416 | + | 11.2616i | −0.126164 | + | 0.383571i | ||||
\(863\) | −22.6920 | + | 6.08029i | −0.772443 | + | 0.206976i | −0.623451 | − | 0.781863i | \(-0.714270\pi\) |
−0.148993 | + | 0.988838i | \(0.547603\pi\) | |||||||
\(864\) | −28.8401 | − | 8.28895i | −0.981161 | − | 0.281996i | ||||
\(865\) | −16.5023 | + | 29.7537i | −0.561097 | + | 1.01166i | ||||
\(866\) | −2.42382 | + | 43.2578i | −0.0823648 | + | 1.46996i | ||||
\(867\) | 17.5210 | + | 17.5210i | 0.595046 | + | 0.595046i | ||||
\(868\) | 0.453253 | + | 6.43270i | 0.0153844 | + | 0.218340i | ||||
\(869\) | −12.1597 | −0.412490 | ||||||||
\(870\) | −9.54611 | + | 30.7982i | −0.323643 | + | 1.04416i | ||||
\(871\) | −15.6644 | + | 9.04385i | −0.530768 | + | 0.306439i | ||||
\(872\) | −0.850033 | + | 1.85483i | −0.0287858 | + | 0.0628124i | ||||
\(873\) | −0.131768 | − | 0.491766i | −0.00445968 | − | 0.0166437i | ||||
\(874\) | −11.6922 | + | 5.90437i | −0.395496 | + | 0.199718i | ||||
\(875\) | 14.0701 | + | 26.0198i | 0.475657 | + | 0.879631i | ||||
\(876\) | 3.11374 | − | 4.22120i | 0.105204 | − | 0.142621i | ||||
\(877\) | 10.1411 | + | 37.8470i | 0.342440 | + | 1.27800i | 0.895575 | + | 0.444911i | \(0.146765\pi\) |
−0.553135 | + | 0.833092i | \(0.686569\pi\) | |||||||
\(878\) | −11.3228 | − | 54.2326i | −0.382127 | − | 1.83026i | ||||
\(879\) | −13.7742 | − | 23.8576i | −0.464591 | − | 0.804696i | ||||
\(880\) | −46.9566 | − | 23.7630i | −1.58291 | − | 0.801052i | ||||
\(881\) | −27.2597 | −0.918404 | −0.459202 | − | 0.888332i | \(-0.651865\pi\) | ||||
−0.459202 | + | 0.888332i | \(0.651865\pi\) | |||||||
\(882\) | −1.16739 | − | 0.603000i | −0.0393081 | − | 0.0203041i | ||||
\(883\) | 10.1753 | − | 10.1753i | 0.342426 | − | 0.342426i | −0.514853 | − | 0.857279i | \(-0.672153\pi\) |
0.857279 | + | 0.514853i | \(0.172153\pi\) | |||||||
\(884\) | 9.50519 | + | 21.7711i | 0.319694 | + | 0.732242i | ||||
\(885\) | 5.33231 | − | 9.61414i | 0.179244 | − | 0.323176i | ||||
\(886\) | 18.5206 | + | 12.1228i | 0.622212 | + | 0.407273i | ||||
\(887\) | 2.88000 | + | 10.7483i | 0.0967009 | + | 0.360893i | 0.997272 | − | 0.0738164i | \(-0.0235179\pi\) |
−0.900571 | + | 0.434709i | \(0.856851\pi\) | |||||||
\(888\) | −40.5531 | + | 28.7971i | −1.36087 | + | 0.966367i | ||||
\(889\) | 20.9705 | − | 9.97749i | 0.703327 | − | 0.334634i | ||||
\(890\) | 6.26266 | − | 9.93679i | 0.209925 | − | 0.333082i | ||||
\(891\) | 25.2542 | − | 43.7416i | 0.846048 | − | 1.46540i | ||||
\(892\) | 39.5363 | − | 31.5455i | 1.32377 | − | 1.05622i | ||||
\(893\) | −3.99012 | + | 14.8913i | −0.133524 | + | 0.498320i | ||||
\(894\) | 0.233563 | − | 4.16838i | 0.00781151 | − | 0.139412i | ||||
\(895\) | −5.87551 | + | 23.5407i | −0.196397 | + | 0.786877i | ||||
\(896\) | −1.56410 | − | 29.8924i | −0.0522529 | − | 0.998634i | ||||
\(897\) | 6.54186 | + | 6.54186i | 0.218426 | + | 0.218426i | ||||
\(898\) | −3.00108 | − | 3.35736i | −0.100147 | − | 0.112036i | ||||
\(899\) | 6.35523 | − | 3.66919i | 0.211959 | − | 0.122374i | ||||
\(900\) | 1.09459 | + | 0.750673i | 0.0364864 | + | 0.0250224i | ||||
\(901\) | 23.6259 | + | 13.6404i | 0.787093 | + | 0.454428i | ||||
\(902\) | 19.3148 | + | 6.35300i | 0.643111 | + | 0.211532i | ||||
\(903\) | 48.0077 | − | 8.84962i | 1.59759 | − | 0.294497i | ||||
\(904\) | 11.7696 | + | 1.99514i | 0.391450 | + | 0.0663572i | ||||
\(905\) | −4.21815 | − | 4.07543i | −0.140216 | − | 0.135472i | ||||
\(906\) | −20.4997 | + | 31.3184i | −0.681057 | + | 1.04049i | ||||
\(907\) | −2.75514 | + | 10.2823i | −0.0914830 | + | 0.341419i | −0.996463 | − | 0.0840353i | \(-0.973219\pi\) |
0.904980 | + | 0.425455i | \(0.139886\pi\) | |||||||
\(908\) | 4.79489 | + | 1.88046i | 0.159124 | + | 0.0624052i | ||||
\(909\) | 0.433649 | 0.0143832 | ||||||||
\(910\) | 16.2374 | − | 6.96720i | 0.538266 | − | 0.230961i | ||||
\(911\) | 11.1349i | 0.368915i | 0.982840 | + | 0.184457i | \(0.0590528\pi\) | ||||
−0.982840 | + | 0.184457i | \(0.940947\pi\) | |||||||
\(912\) | −12.9113 | − | 20.5252i | −0.427536 | − | 0.679656i | ||||
\(913\) | −5.62757 | − | 1.50790i | −0.186246 | − | 0.0499043i | ||||
\(914\) | 4.36027 | − | 6.66140i | 0.144225 | − | 0.220339i | ||||
\(915\) | −27.7349 | + | 0.477270i | −0.916888 | + | 0.0157781i | ||||
\(916\) | 22.7220 | + | 16.7607i | 0.750754 | + | 0.553789i | ||||
\(917\) | −20.1388 | + | 17.1665i | −0.665042 | + | 0.566887i | ||||
\(918\) | 13.1834 | − | 40.0809i | 0.435116 | − | 1.32287i | ||||
\(919\) | 22.7273 | − | 39.3649i | 0.749705 | − | 1.29853i | −0.198259 | − | 0.980150i | \(-0.563529\pi\) |
0.947964 | − | 0.318378i | \(-0.103138\pi\) | |||||||
\(920\) | −16.2616 | + | 1.81389i | −0.536128 | + | 0.0598023i | ||||
\(921\) | 14.7678 | + | 25.5786i | 0.486616 | + | 0.842843i | ||||
\(922\) | 36.9758 | + | 41.3654i | 1.21773 | + | 1.36230i | ||||
\(923\) | −4.01119 | + | 4.01119i | −0.132030 | + | 0.132030i | ||||
\(924\) | 51.7570 | + | 10.0320i | 1.70268 | + | 0.330029i | ||||
\(925\) | 49.6634 | − | 15.1568i | 1.63292 | − | 0.498354i | ||||
\(926\) | −10.9229 | − | 0.612030i | −0.358948 | − | 0.0201125i | ||||
\(927\) | 2.16289 | + | 0.579544i | 0.0710386 | + | 0.0190347i | ||||
\(928\) | −29.8025 | + | 16.4959i | −0.978315 | + | 0.541503i | ||||
\(929\) | 9.74036 | + | 5.62360i | 0.319571 | + | 0.184504i | 0.651201 | − | 0.758905i | \(-0.274265\pi\) |
−0.331631 | + | 0.943409i | \(0.607599\pi\) | |||||||
\(930\) | 1.44340 | + | 6.36403i | 0.0473309 | + | 0.208685i | ||||
\(931\) | −8.93548 | − | 23.4132i | −0.292849 | − | 0.767335i | ||||
\(932\) | −0.772131 | + | 0.116580i | −0.0252920 | + | 0.00381869i | ||||
\(933\) | −31.9342 | + | 8.55673i | −1.04548 | + | 0.280135i | ||||
\(934\) | −13.7097 | + | 20.9449i | −0.448594 | + | 0.685339i | ||||
\(935\) | 35.8910 | − | 64.7114i | 1.17376 | − | 2.11629i | ||||
\(936\) | 0.505581 | − | 0.610684i | 0.0165254 | − | 0.0199608i | ||||
\(937\) | 10.7077 | + | 10.7077i | 0.349806 | + | 0.349806i | 0.860037 | − | 0.510231i | \(-0.170440\pi\) |
−0.510231 | + | 0.860037i | \(0.670440\pi\) | |||||||
\(938\) | 4.03731 | + | 31.7913i | 0.131823 | + | 1.03802i | ||||
\(939\) | − | 53.4514i | − | 1.74432i | ||||||
\(940\) | −11.1637 | + | 15.6924i | −0.364119 | + | 0.511831i | ||||
\(941\) | −49.4039 | + | 28.5233i | −1.61052 | + | 0.929834i | −0.621271 | + | 0.783596i | \(0.713383\pi\) |
−0.989249 | + | 0.146239i | \(0.953283\pi\) | |||||||
\(942\) | −56.1956 | + | 11.7327i | −1.83095 | + | 0.382271i | ||||
\(943\) | 6.10630 | − | 1.63618i | 0.198848 | − | 0.0532813i | ||||
\(944\) | 11.0965 | − | 3.42897i | 0.361161 | − | 0.111604i | ||||
\(945\) | −29.7489 | − | 9.99405i | −0.967731 | − | 0.325106i | ||||
\(946\) | 80.9355 | − | 40.8710i | 2.63144 | − | 1.32883i | ||||
\(947\) | 33.3913 | − | 8.94718i | 1.08507 | − | 0.290744i | 0.328400 | − | 0.944539i | \(-0.393491\pi\) |
0.756672 | + | 0.653794i | \(0.226824\pi\) | |||||||
\(948\) | −4.36507 | − | 5.47078i | −0.141771 | − | 0.177683i | ||||
\(949\) | 1.63548 | + | 2.83274i | 0.0530901 | + | 0.0919547i | ||||
\(950\) | 6.02325 | + | 24.5877i | 0.195420 | + | 0.797731i | ||||
\(951\) | − | 18.9280i | − | 0.613783i | ||||||
\(952\) | 42.0844 | − | 0.604837i | 1.36396 | − | 0.0196029i | ||||
\(953\) | 16.8673 | − | 16.8673i | 0.546387 | − | 0.546387i | −0.379007 | − | 0.925394i | \(-0.623734\pi\) |
0.925394 | + | 0.379007i | \(0.123734\pi\) | |||||||
\(954\) | 0.0509349 | − | 0.909032i | 0.00164908 | − | 0.0294310i | ||||
\(955\) | 0.0495622 | − | 0.0141985i | 0.00160379 | − | 0.000459452i | ||||
\(956\) | 1.95166 | − | 17.3610i | 0.0631213 | − | 0.561493i | ||||
\(957\) | −15.5276 | − | 57.9499i | −0.501937 | − | 1.87326i | ||||
\(958\) | −21.4886 | − | 7.06802i | −0.694265 | − | 0.228357i | ||||
\(959\) | 0.881198 | − | 1.27950i | 0.0284554 | − | 0.0413171i | ||||
\(960\) | −6.16515 | − | 29.6567i | −0.198979 | − | 0.957165i | ||||
\(961\) | −14.7574 | + | 25.5606i | −0.476045 | + | 0.824535i | ||||
\(962\) | −6.33890 | − | 30.3613i | −0.204374 | − | 0.978886i | ||||
\(963\) | 1.56771 | + | 0.420066i | 0.0505187 | + | 0.0135365i | ||||
\(964\) | −10.1022 | + | 4.41059i | −0.325370 | + | 0.142055i | ||||
\(965\) | −14.4913 | + | 8.70239i | −0.466492 | + | 0.280140i | ||||
\(966\) | 15.1722 | − | 6.20326i | 0.488159 | − | 0.199587i | ||||
\(967\) | −18.2418 | + | 18.2418i | −0.586615 | + | 0.586615i | −0.936713 | − | 0.350098i | \(-0.886148\pi\) |
0.350098 | + | 0.936713i | \(0.386148\pi\) | |||||||
\(968\) | 66.5135 | − | 6.26264i | 2.13783 | − | 0.201289i | ||||
\(969\) | 29.5274 | − | 17.0477i | 0.948557 | − | 0.547649i | ||||
\(970\) | 8.90307 | − | 8.23823i | 0.285861 | − | 0.264514i | ||||
\(971\) | 0.716859 | − | 1.24164i | 0.0230051 | − | 0.0398460i | −0.854294 | − | 0.519791i | \(-0.826010\pi\) |
0.877299 | + | 0.479945i | \(0.159343\pi\) | |||||||
\(972\) | −2.72573 | + | 0.411543i | −0.0874278 | + | 0.0132002i | ||||
\(973\) | 11.5012 | − | 32.3787i | 0.368711 | − | 1.03801i | ||||
\(974\) | 30.9050 | − | 15.6065i | 0.990261 | − | 0.500064i | ||||
\(975\) | 15.1678 | − | 9.46751i | 0.485759 | − | 0.303203i | ||||
\(976\) | −21.4917 | − | 19.9211i | −0.687932 | − | 0.637660i | ||||
\(977\) | −6.45746 | + | 24.0996i | −0.206592 | + | 0.771014i | 0.782366 | + | 0.622819i | \(0.214013\pi\) |
−0.988958 | + | 0.148194i | \(0.952654\pi\) | |||||||
\(978\) | −13.4967 | − | 15.0989i | −0.431575 | − | 0.482810i | ||||
\(979\) | 21.8545i | 0.698474i | ||||||||
\(980\) | −0.251781 | − | 31.3039i | −0.00804284 | − | 0.999968i | ||||
\(981\) | 0.0957446i | 0.00305689i | ||||||||
\(982\) | −28.1417 | + | 25.1553i | −0.898037 | + | 0.802739i | ||||
\(983\) | −1.37527 | + | 5.13258i | −0.0438643 | + | 0.163704i | −0.984384 | − | 0.176036i | \(-0.943672\pi\) |
0.940519 | + | 0.339740i | \(0.110339\pi\) | |||||||
\(984\) | 4.07529 | + | 10.9705i | 0.129915 | + | 0.349727i | ||||
\(985\) | −0.492780 | − | 28.6362i | −0.0157013 | − | 0.912426i | ||||
\(986\) | −21.5899 | − | 42.7538i | −0.687562 | − | 1.36156i | ||||
\(987\) | 6.45753 | − | 18.1795i | 0.205545 | − | 0.578661i | ||||
\(988\) | 14.9516 | − | 2.25746i | 0.475674 | − | 0.0718194i | ||||
\(989\) | 14.0952 | − | 24.4135i | 0.448200 | − | 0.776306i | ||||
\(990\) | −2.46773 | − | 0.0957139i | −0.0784295 | − | 0.00304199i | ||||
\(991\) | −39.2568 | + | 22.6649i | −1.24703 | + | 0.719975i | −0.970517 | − | 0.241034i | \(-0.922514\pi\) |
−0.276517 | + | 0.961009i | \(0.589180\pi\) | |||||||
\(992\) | −3.55425 | + | 5.90704i | −0.112848 | + | 0.187549i | ||||
\(993\) | −1.77536 | + | 1.77536i | −0.0563393 | + | 0.0563393i | ||||
\(994\) | 3.80357 | + | 9.30296i | 0.120642 | + | 0.295072i | ||||
\(995\) | 1.28865 | + | 0.321635i | 0.0408530 | + | 0.0101965i | ||||
\(996\) | −1.34175 | − | 3.07321i | −0.0425150 | − | 0.0973783i | ||||
\(997\) | −53.9385 | − | 14.4528i | −1.70825 | − | 0.457724i | −0.733254 | − | 0.679955i | \(-0.761999\pi\) |
−0.974994 | + | 0.222231i | \(0.928666\pi\) | |||||||
\(998\) | −23.3377 | + | 4.87250i | −0.738741 | + | 0.154236i | ||||
\(999\) | −27.5443 | + | 47.7082i | −0.871464 | + | 1.50942i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 280.2.br.a.107.35 | yes | 176 | |
5.3 | odd | 4 | inner | 280.2.br.a.163.13 | yes | 176 | |
7.4 | even | 3 | inner | 280.2.br.a.67.25 | yes | 176 | |
8.3 | odd | 2 | inner | 280.2.br.a.107.43 | yes | 176 | |
35.18 | odd | 12 | inner | 280.2.br.a.123.43 | yes | 176 | |
40.3 | even | 4 | inner | 280.2.br.a.163.25 | yes | 176 | |
56.11 | odd | 6 | inner | 280.2.br.a.67.13 | ✓ | 176 | |
280.123 | even | 12 | inner | 280.2.br.a.123.35 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.br.a.67.13 | ✓ | 176 | 56.11 | odd | 6 | inner | |
280.2.br.a.67.25 | yes | 176 | 7.4 | even | 3 | inner | |
280.2.br.a.107.35 | yes | 176 | 1.1 | even | 1 | trivial | |
280.2.br.a.107.43 | yes | 176 | 8.3 | odd | 2 | inner | |
280.2.br.a.123.35 | yes | 176 | 280.123 | even | 12 | inner | |
280.2.br.a.123.43 | yes | 176 | 35.18 | odd | 12 | inner | |
280.2.br.a.163.13 | yes | 176 | 5.3 | odd | 4 | inner | |
280.2.br.a.163.25 | yes | 176 | 40.3 | even | 4 | inner |