Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(36,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.36");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.h (of order \(5\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 36.2 | ||
Character | \(\chi\) | \(=\) | 175.36 |
Dual form | 175.2.h.b.141.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28672 | + | 0.934859i | −0.909851 | + | 0.661045i | −0.940977 | − | 0.338470i | \(-0.890091\pi\) |
0.0311264 | + | 0.999515i | \(0.490091\pi\) | |||||||
\(3\) | −0.306518 | + | 0.943364i | −0.176968 | + | 0.544652i | −0.999718 | − | 0.0237520i | \(-0.992439\pi\) |
0.822750 | + | 0.568404i | \(0.192439\pi\) | |||||||
\(4\) | 0.163661 | − | 0.503697i | 0.0818305 | − | 0.251849i | ||||
\(5\) | −1.08759 | + | 1.95375i | −0.486384 | + | 0.873745i | ||||
\(6\) | −0.487509 | − | 1.50040i | −0.199025 | − | 0.612536i | ||||
\(7\) | −1.00000 | −0.377964 | ||||||||
\(8\) | −0.722670 | − | 2.22415i | −0.255502 | − | 0.786355i | ||||
\(9\) | 1.63107 | + | 1.18504i | 0.543689 | + | 0.395013i | ||||
\(10\) | −0.427058 | − | 3.53068i | −0.135048 | − | 1.11650i | ||||
\(11\) | −1.10707 | + | 0.804334i | −0.333794 | + | 0.242516i | −0.742039 | − | 0.670357i | \(-0.766141\pi\) |
0.408244 | + | 0.912873i | \(0.366141\pi\) | |||||||
\(12\) | 0.425005 | + | 0.308784i | 0.122688 | + | 0.0891383i | ||||
\(13\) | −4.99572 | − | 3.62960i | −1.38556 | − | 1.00667i | −0.996336 | − | 0.0855290i | \(-0.972742\pi\) |
−0.389228 | − | 0.921142i | \(-0.627258\pi\) | |||||||
\(14\) | 1.28672 | − | 0.934859i | 0.343891 | − | 0.249852i | ||||
\(15\) | −1.50974 | − | 1.62485i | −0.389812 | − | 0.419535i | ||||
\(16\) | 3.86608 | + | 2.80887i | 0.966521 | + | 0.702218i | ||||
\(17\) | 1.29518 | + | 3.98615i | 0.314127 | + | 0.966784i | 0.976112 | + | 0.217267i | \(0.0697142\pi\) |
−0.661985 | + | 0.749517i | \(0.730286\pi\) | |||||||
\(18\) | −3.20658 | −0.755798 | ||||||||
\(19\) | −1.25582 | − | 3.86503i | −0.288106 | − | 0.886698i | −0.985451 | − | 0.169962i | \(-0.945635\pi\) |
0.697345 | − | 0.716736i | \(-0.254365\pi\) | |||||||
\(20\) | 0.806104 | + | 0.867569i | 0.180250 | + | 0.193994i | ||||
\(21\) | 0.306518 | − | 0.943364i | 0.0668876 | − | 0.205859i | ||||
\(22\) | 0.672555 | − | 2.06991i | 0.143389 | − | 0.441307i | ||||
\(23\) | −2.37002 | + | 1.72192i | −0.494184 | + | 0.359046i | −0.806791 | − | 0.590837i | \(-0.798798\pi\) |
0.312607 | + | 0.949883i | \(0.398798\pi\) | |||||||
\(24\) | 2.31969 | 0.473506 | ||||||||
\(25\) | −2.63430 | − | 4.24976i | −0.526860 | − | 0.849952i | ||||
\(26\) | 9.82128 | 1.92611 | ||||||||
\(27\) | −4.02530 | + | 2.92455i | −0.774669 | + | 0.562830i | ||||
\(28\) | −0.163661 | + | 0.503697i | −0.0309290 | + | 0.0951898i | ||||
\(29\) | −1.94276 | + | 5.97919i | −0.360761 | + | 1.11031i | 0.591833 | + | 0.806061i | \(0.298405\pi\) |
−0.952593 | + | 0.304246i | \(0.901595\pi\) | |||||||
\(30\) | 3.46162 | + | 0.679345i | 0.632003 | + | 0.124031i | ||||
\(31\) | 0.590842 | + | 1.81842i | 0.106118 | + | 0.326598i | 0.989991 | − | 0.141128i | \(-0.0450731\pi\) |
−0.883873 | + | 0.467727i | \(0.845073\pi\) | |||||||
\(32\) | −2.92326 | −0.516765 | ||||||||
\(33\) | −0.419443 | − | 1.29091i | −0.0730157 | − | 0.224719i | ||||
\(34\) | −5.39303 | − | 3.91826i | −0.924897 | − | 0.671977i | ||||
\(35\) | 1.08759 | − | 1.95375i | 0.183836 | − | 0.330245i | ||||
\(36\) | 0.863843 | − | 0.627619i | 0.143974 | − | 0.104603i | ||||
\(37\) | 9.38622 | + | 6.81949i | 1.54309 | + | 1.12112i | 0.948363 | + | 0.317186i | \(0.102738\pi\) |
0.594722 | + | 0.803931i | \(0.297262\pi\) | |||||||
\(38\) | 5.22915 | + | 3.79920i | 0.848281 | + | 0.616312i | ||||
\(39\) | 4.95531 | − | 3.60025i | 0.793485 | − | 0.576501i | ||||
\(40\) | 5.13141 | + | 1.00704i | 0.811346 | + | 0.159227i | ||||
\(41\) | 2.65111 | + | 1.92615i | 0.414034 | + | 0.300813i | 0.775233 | − | 0.631675i | \(-0.217632\pi\) |
−0.361199 | + | 0.932489i | \(0.617632\pi\) | |||||||
\(42\) | 0.487509 | + | 1.50040i | 0.0752243 | + | 0.231517i | ||||
\(43\) | 5.62950 | 0.858491 | 0.429246 | − | 0.903188i | \(-0.358779\pi\) | ||||
0.429246 | + | 0.903188i | \(0.358779\pi\) | |||||||
\(44\) | 0.223956 | + | 0.689267i | 0.0337627 | + | 0.103911i | ||||
\(45\) | −4.08921 | + | 1.89787i | −0.609583 | + | 0.282917i | ||||
\(46\) | 1.43981 | − | 4.43128i | 0.212288 | − | 0.653356i | ||||
\(47\) | −3.21961 | + | 9.90893i | −0.469628 | + | 1.44537i | 0.383440 | + | 0.923566i | \(0.374739\pi\) |
−0.853068 | + | 0.521800i | \(0.825261\pi\) | |||||||
\(48\) | −3.83481 | + | 2.78616i | −0.553508 | + | 0.402147i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | 7.36254 | + | 3.00556i | 1.04122 | + | 0.425051i | ||||
\(51\) | −4.15739 | −0.582151 | ||||||||
\(52\) | −2.64583 | + | 1.92230i | −0.366910 | + | 0.266576i | ||||
\(53\) | −1.45717 | + | 4.48472i | −0.200158 | + | 0.616023i | 0.799719 | + | 0.600374i | \(0.204982\pi\) |
−0.999878 | + | 0.0156495i | \(0.995018\pi\) | |||||||
\(54\) | 2.44540 | − | 7.52617i | 0.332777 | − | 1.02418i | ||||
\(55\) | −0.367433 | − | 3.03773i | −0.0495446 | − | 0.409607i | ||||
\(56\) | 0.722670 | + | 2.22415i | 0.0965708 | + | 0.297214i | ||||
\(57\) | 4.03106 | 0.533927 | ||||||||
\(58\) | −3.08991 | − | 9.50976i | −0.405725 | − | 1.24869i | ||||
\(59\) | 0.474223 | + | 0.344543i | 0.0617386 | + | 0.0448557i | 0.618226 | − | 0.786000i | \(-0.287851\pi\) |
−0.556488 | + | 0.830856i | \(0.687851\pi\) | |||||||
\(60\) | −1.06552 | + | 0.494524i | −0.137558 | + | 0.0638428i | ||||
\(61\) | −9.79413 | + | 7.11585i | −1.25401 | + | 0.911091i | −0.998447 | − | 0.0557013i | \(-0.982261\pi\) |
−0.255562 | + | 0.966793i | \(0.582261\pi\) | |||||||
\(62\) | −2.46022 | − | 1.78745i | −0.312448 | − | 0.227007i | ||||
\(63\) | −1.63107 | − | 1.18504i | −0.205495 | − | 0.149301i | ||||
\(64\) | −3.97074 | + | 2.88491i | −0.496342 | + | 0.360614i | ||||
\(65\) | 12.5246 | − | 5.81289i | 1.55349 | − | 0.721000i | ||||
\(66\) | 1.74653 | + | 1.26893i | 0.214983 | + | 0.156194i | ||||
\(67\) | −2.48213 | − | 7.63921i | −0.303240 | − | 0.933278i | −0.980328 | − | 0.197375i | \(-0.936758\pi\) |
0.677088 | − | 0.735902i | \(-0.263242\pi\) | |||||||
\(68\) | 2.21978 | 0.269188 | ||||||||
\(69\) | −0.897947 | − | 2.76360i | −0.108100 | − | 0.332698i | ||||
\(70\) | 0.427058 | + | 3.53068i | 0.0510432 | + | 0.421997i | ||||
\(71\) | 2.86670 | − | 8.82278i | 0.340214 | − | 1.04707i | −0.623882 | − | 0.781518i | \(-0.714445\pi\) |
0.964096 | − | 0.265553i | \(-0.0855545\pi\) | |||||||
\(72\) | 1.45698 | − | 4.48413i | 0.171707 | − | 0.528460i | ||||
\(73\) | 2.15142 | − | 1.56310i | 0.251804 | − | 0.182946i | −0.454722 | − | 0.890634i | \(-0.650261\pi\) |
0.706526 | + | 0.707687i | \(0.250261\pi\) | |||||||
\(74\) | −18.4527 | −2.14509 | ||||||||
\(75\) | 4.81653 | − | 1.18248i | 0.556165 | − | 0.136541i | ||||
\(76\) | −2.15233 | −0.246889 | ||||||||
\(77\) | 1.10707 | − | 0.804334i | 0.126162 | − | 0.0916624i | ||||
\(78\) | −3.01039 | + | 9.26504i | −0.340860 | + | 1.04906i | ||||
\(79\) | 0.450117 | − | 1.38532i | 0.0506421 | − | 0.155860i | −0.922537 | − | 0.385908i | \(-0.873888\pi\) |
0.973179 | + | 0.230048i | \(0.0738882\pi\) | |||||||
\(80\) | −9.69255 | + | 4.49847i | −1.08366 | + | 0.502944i | ||||
\(81\) | 0.343946 | + | 1.05856i | 0.0382162 | + | 0.117617i | ||||
\(82\) | −5.21192 | −0.575561 | ||||||||
\(83\) | −4.54964 | − | 14.0024i | −0.499388 | − | 1.53696i | −0.810004 | − | 0.586424i | \(-0.800535\pi\) |
0.310616 | − | 0.950535i | \(-0.399465\pi\) | |||||||
\(84\) | −0.425005 | − | 0.308784i | −0.0463718 | − | 0.0336911i | ||||
\(85\) | −9.19658 | − | 1.80483i | −0.997509 | − | 0.195762i | ||||
\(86\) | −7.24361 | + | 5.26279i | −0.781099 | + | 0.567502i | ||||
\(87\) | −5.04506 | − | 3.66545i | −0.540888 | − | 0.392978i | ||||
\(88\) | 2.58901 | + | 1.88102i | 0.275989 | + | 0.200518i | ||||
\(89\) | 5.37969 | − | 3.90858i | 0.570246 | − | 0.414308i | −0.264948 | − | 0.964263i | \(-0.585355\pi\) |
0.835195 | + | 0.549954i | \(0.185355\pi\) | |||||||
\(90\) | 3.48744 | − | 6.26486i | 0.367608 | − | 0.660374i | ||||
\(91\) | 4.99572 | + | 3.62960i | 0.523694 | + | 0.380486i | ||||
\(92\) | 0.479447 | + | 1.47559i | 0.0499858 | + | 0.153840i | ||||
\(93\) | −1.89654 | −0.196662 | ||||||||
\(94\) | −5.12071 | − | 15.7599i | −0.528161 | − | 1.62551i | ||||
\(95\) | 8.91713 | + | 1.74999i | 0.914878 | + | 0.179545i | ||||
\(96\) | 0.896032 | − | 2.75770i | 0.0914508 | − | 0.281457i | ||||
\(97\) | −0.947571 | + | 2.91632i | −0.0962113 | + | 0.296108i | −0.987567 | − | 0.157196i | \(-0.949755\pi\) |
0.891356 | + | 0.453304i | \(0.149755\pi\) | |||||||
\(98\) | −1.28672 | + | 0.934859i | −0.129979 | + | 0.0944350i | ||||
\(99\) | −2.75888 | −0.277277 | ||||||||
\(100\) | −2.57172 | + | 0.631370i | −0.257172 | + | 0.0631370i | ||||
\(101\) | −8.13698 | −0.809660 | −0.404830 | − | 0.914392i | \(-0.632669\pi\) | ||||
−0.404830 | + | 0.914392i | \(0.632669\pi\) | |||||||
\(102\) | 5.34941 | − | 3.88657i | 0.529670 | − | 0.384828i | ||||
\(103\) | −4.63482 | + | 14.2645i | −0.456682 | + | 1.40552i | 0.412467 | + | 0.910973i | \(0.364667\pi\) |
−0.869149 | + | 0.494550i | \(0.835333\pi\) | |||||||
\(104\) | −4.46252 | + | 13.7342i | −0.437586 | + | 1.34675i | ||||
\(105\) | 1.50974 | + | 1.62485i | 0.147335 | + | 0.158569i | ||||
\(106\) | −2.31760 | − | 7.13284i | −0.225105 | − | 0.692803i | ||||
\(107\) | −0.599745 | −0.0579795 | −0.0289898 | − | 0.999580i | \(-0.509229\pi\) | ||||
−0.0289898 | + | 0.999580i | \(0.509229\pi\) | |||||||
\(108\) | 0.814302 | + | 2.50617i | 0.0783563 | + | 0.241156i | ||||
\(109\) | 7.34526 | + | 5.33664i | 0.703548 | + | 0.511158i | 0.881086 | − | 0.472956i | \(-0.156813\pi\) |
−0.177538 | + | 0.984114i | \(0.556813\pi\) | |||||||
\(110\) | 3.31263 | + | 3.56522i | 0.315847 | + | 0.339930i | ||||
\(111\) | −9.31031 | + | 6.76433i | −0.883695 | + | 0.642042i | ||||
\(112\) | −3.86608 | − | 2.80887i | −0.365310 | − | 0.265414i | ||||
\(113\) | 13.7096 | + | 9.96059i | 1.28969 | + | 0.937014i | 0.999799 | − | 0.0200466i | \(-0.00638146\pi\) |
0.289889 | + | 0.957060i | \(0.406381\pi\) | |||||||
\(114\) | −5.18686 | + | 3.76847i | −0.485794 | + | 0.352950i | ||||
\(115\) | −0.786602 | − | 6.50318i | −0.0733510 | − | 0.606425i | ||||
\(116\) | 2.69375 | + | 1.95712i | 0.250108 | + | 0.181714i | ||||
\(117\) | −3.84713 | − | 11.8403i | −0.355667 | − | 1.09463i | ||||
\(118\) | −0.932293 | −0.0858245 | ||||||||
\(119\) | −1.29518 | − | 3.98615i | −0.118729 | − | 0.365410i | ||||
\(120\) | −2.52287 | + | 4.53211i | −0.230306 | + | 0.413723i | ||||
\(121\) | −2.82053 | + | 8.68071i | −0.256412 | + | 0.789156i | ||||
\(122\) | 5.95001 | − | 18.3123i | 0.538689 | − | 1.65791i | ||||
\(123\) | −2.62967 | + | 1.91057i | −0.237109 | + | 0.172270i | ||||
\(124\) | 1.01263 | 0.0909371 | ||||||||
\(125\) | 11.1680 | − | 0.524786i | 0.998898 | − | 0.0469383i | ||||
\(126\) | 3.20658 | 0.285665 | ||||||||
\(127\) | 15.3606 | − | 11.1601i | 1.36303 | − | 0.990299i | 0.364784 | − | 0.931092i | \(-0.381143\pi\) |
0.998246 | − | 0.0592072i | \(-0.0188573\pi\) | |||||||
\(128\) | 4.21893 | − | 12.9845i | 0.372904 | − | 1.14768i | ||||
\(129\) | −1.72554 | + | 5.31067i | −0.151926 | + | 0.467579i | ||||
\(130\) | −10.6815 | + | 19.1883i | −0.936830 | + | 1.68293i | ||||
\(131\) | −0.884454 | − | 2.72207i | −0.0772751 | − | 0.237828i | 0.904956 | − | 0.425506i | \(-0.139904\pi\) |
−0.982231 | + | 0.187678i | \(0.939904\pi\) | |||||||
\(132\) | −0.718876 | −0.0625701 | ||||||||
\(133\) | 1.25582 | + | 3.86503i | 0.108894 | + | 0.335140i | ||||
\(134\) | 10.3354 | + | 7.50910i | 0.892842 | + | 0.648688i | ||||
\(135\) | −1.33598 | − | 11.0451i | −0.114983 | − | 0.950614i | ||||
\(136\) | 7.92981 | − | 5.76134i | 0.679975 | − | 0.494031i | ||||
\(137\) | 5.60309 | + | 4.07088i | 0.478704 | + | 0.347799i | 0.800824 | − | 0.598900i | \(-0.204395\pi\) |
−0.322120 | + | 0.946699i | \(0.604395\pi\) | |||||||
\(138\) | 3.73898 | + | 2.71653i | 0.318283 | + | 0.231246i | ||||
\(139\) | 8.57496 | − | 6.23007i | 0.727319 | − | 0.528428i | −0.161395 | − | 0.986890i | \(-0.551599\pi\) |
0.888714 | + | 0.458462i | \(0.151599\pi\) | |||||||
\(140\) | −0.806104 | − | 0.867569i | −0.0681282 | − | 0.0733229i | ||||
\(141\) | −8.36087 | − | 6.07453i | −0.704112 | − | 0.511567i | ||||
\(142\) | 4.55941 | + | 14.0324i | 0.382618 | + | 1.17758i | ||||
\(143\) | 8.45003 | 0.706627 | ||||||||
\(144\) | 2.97722 | + | 9.16293i | 0.248101 | + | 0.763577i | ||||
\(145\) | −9.56894 | − | 10.2986i | −0.794657 | − | 0.855249i | ||||
\(146\) | −1.30700 | + | 4.02254i | −0.108168 | + | 0.332908i | ||||
\(147\) | −0.306518 | + | 0.943364i | −0.0252812 | + | 0.0778074i | ||||
\(148\) | 4.97112 | − | 3.61173i | 0.408623 | − | 0.296882i | ||||
\(149\) | −2.42821 | −0.198927 | −0.0994634 | − | 0.995041i | \(-0.531713\pi\) | ||||
−0.0994634 | + | 0.995041i | \(0.531713\pi\) | |||||||
\(150\) | −5.09209 | + | 6.02430i | −0.415767 | + | 0.491882i | ||||
\(151\) | −1.10475 | −0.0899031 | −0.0449516 | − | 0.998989i | \(-0.514313\pi\) | ||||
−0.0449516 | + | 0.998989i | \(0.514313\pi\) | |||||||
\(152\) | −7.68885 | + | 5.58628i | −0.623648 | + | 0.453107i | ||||
\(153\) | −2.61122 | + | 8.03652i | −0.211105 | + | 0.649714i | ||||
\(154\) | −0.672555 | + | 2.06991i | −0.0541960 | + | 0.166798i | ||||
\(155\) | −4.19534 | − | 0.823338i | −0.336978 | − | 0.0661321i | ||||
\(156\) | −1.00244 | − | 3.08520i | −0.0802595 | − | 0.247013i | ||||
\(157\) | 5.81742 | 0.464281 | 0.232140 | − | 0.972682i | \(-0.425427\pi\) | ||||
0.232140 | + | 0.972682i | \(0.425427\pi\) | |||||||
\(158\) | 0.715901 | + | 2.20332i | 0.0569540 | + | 0.175287i | ||||
\(159\) | −3.78407 | − | 2.74929i | −0.300097 | − | 0.218033i | ||||
\(160\) | 3.17931 | − | 5.71133i | 0.251346 | − | 0.451521i | ||||
\(161\) | 2.37002 | − | 1.72192i | 0.186784 | − | 0.135707i | ||||
\(162\) | −1.43217 | − | 1.04053i | −0.112522 | − | 0.0817517i | ||||
\(163\) | −3.03746 | − | 2.20685i | −0.237912 | − | 0.172853i | 0.462440 | − | 0.886650i | \(-0.346974\pi\) |
−0.700353 | + | 0.713797i | \(0.746974\pi\) | |||||||
\(164\) | 1.40408 | − | 1.02012i | 0.109640 | − | 0.0796582i | ||||
\(165\) | 2.97831 | + | 0.584495i | 0.231861 | + | 0.0455028i | ||||
\(166\) | 18.9444 | + | 13.7639i | 1.47037 | + | 1.06829i | ||||
\(167\) | 2.85408 | + | 8.78395i | 0.220855 | + | 0.679723i | 0.998686 | + | 0.0512486i | \(0.0163201\pi\) |
−0.777831 | + | 0.628474i | \(0.783680\pi\) | |||||||
\(168\) | −2.31969 | −0.178968 | ||||||||
\(169\) | 7.76598 | + | 23.9012i | 0.597383 | + | 1.83856i | ||||
\(170\) | 13.5207 | − | 6.27518i | 1.03699 | − | 0.481285i | ||||
\(171\) | 2.53188 | − | 7.79232i | 0.193618 | − | 0.595894i | ||||
\(172\) | 0.921331 | − | 2.83556i | 0.0702508 | − | 0.216210i | ||||
\(173\) | 5.99631 | − | 4.35657i | 0.455891 | − | 0.331224i | −0.336026 | − | 0.941853i | \(-0.609083\pi\) |
0.791917 | + | 0.610629i | \(0.209083\pi\) | |||||||
\(174\) | 9.91828 | 0.751903 | ||||||||
\(175\) | 2.63430 | + | 4.24976i | 0.199135 | + | 0.321252i | ||||
\(176\) | −6.53930 | −0.492918 | ||||||||
\(177\) | −0.470387 | + | 0.341756i | −0.0353565 | + | 0.0256880i | ||||
\(178\) | −3.26821 | + | 10.0585i | −0.244963 | + | 0.753917i | ||||
\(179\) | 2.79596 | − | 8.60507i | 0.208980 | − | 0.643173i | −0.790547 | − | 0.612402i | \(-0.790204\pi\) |
0.999526 | − | 0.0307716i | \(-0.00979646\pi\) | |||||||
\(180\) | 0.286706 | + | 2.37033i | 0.0213698 | + | 0.176674i | ||||
\(181\) | −1.93810 | − | 5.96485i | −0.144058 | − | 0.443364i | 0.852831 | − | 0.522187i | \(-0.174884\pi\) |
−0.996889 | + | 0.0788233i | \(0.974884\pi\) | |||||||
\(182\) | −9.82128 | −0.728001 | ||||||||
\(183\) | −3.71077 | − | 11.4206i | −0.274308 | − | 0.844233i | ||||
\(184\) | 5.54256 | + | 4.02690i | 0.408603 | + | 0.296867i | ||||
\(185\) | −23.5319 | + | 10.9216i | −1.73010 | + | 0.802969i | ||||
\(186\) | 2.44032 | − | 1.77300i | 0.178933 | − | 0.130002i | ||||
\(187\) | −4.64005 | − | 3.37120i | −0.339314 | − | 0.246526i | ||||
\(188\) | 4.46418 | + | 3.24341i | 0.325583 | + | 0.236550i | ||||
\(189\) | 4.02530 | − | 2.92455i | 0.292797 | − | 0.212730i | ||||
\(190\) | −13.1099 | + | 6.08451i | −0.951090 | + | 0.441416i | ||||
\(191\) | −14.6831 | − | 10.6679i | −1.06243 | − | 0.771903i | −0.0878967 | − | 0.996130i | \(-0.528015\pi\) |
−0.974537 | + | 0.224226i | \(0.928015\pi\) | |||||||
\(192\) | −1.50442 | − | 4.63013i | −0.108572 | − | 0.334151i | ||||
\(193\) | 18.7214 | 1.34760 | 0.673798 | − | 0.738916i | \(-0.264662\pi\) | ||||
0.673798 | + | 0.738916i | \(0.264662\pi\) | |||||||
\(194\) | −1.50709 | − | 4.63835i | −0.108203 | − | 0.333014i | ||||
\(195\) | 1.64465 | + | 13.5970i | 0.117776 | + | 0.973705i | ||||
\(196\) | 0.163661 | − | 0.503697i | 0.0116901 | − | 0.0359784i | ||||
\(197\) | 1.47113 | − | 4.52767i | 0.104814 | − | 0.322583i | −0.884873 | − | 0.465832i | \(-0.845755\pi\) |
0.989687 | + | 0.143249i | \(0.0457550\pi\) | |||||||
\(198\) | 3.54991 | − | 2.57916i | 0.252281 | − | 0.183293i | ||||
\(199\) | −1.01540 | −0.0719796 | −0.0359898 | − | 0.999352i | \(-0.511458\pi\) | ||||
−0.0359898 | + | 0.999352i | \(0.511458\pi\) | |||||||
\(200\) | −7.54837 | + | 8.93025i | −0.533750 | + | 0.631464i | ||||
\(201\) | 7.96737 | 0.561975 | ||||||||
\(202\) | 10.4700 | − | 7.60693i | 0.736670 | − | 0.535222i | ||||
\(203\) | 1.94276 | − | 5.97919i | 0.136355 | − | 0.419657i | ||||
\(204\) | −0.680403 | + | 2.09406i | −0.0476377 | + | 0.146614i | ||||
\(205\) | −6.64653 | + | 3.08476i | −0.464214 | + | 0.215449i | ||||
\(206\) | −7.37157 | − | 22.6874i | −0.513602 | − | 1.58070i | ||||
\(207\) | −5.90622 | −0.410510 | ||||||||
\(208\) | −9.11877 | − | 28.0647i | −0.632273 | − | 1.94594i | ||||
\(209\) | 4.49906 | + | 3.26876i | 0.311206 | + | 0.226105i | ||||
\(210\) | −3.46162 | − | 0.679345i | −0.238875 | − | 0.0468792i | ||||
\(211\) | −15.6841 | + | 11.3952i | −1.07974 | + | 0.784475i | −0.977637 | − | 0.210299i | \(-0.932556\pi\) |
−0.102100 | + | 0.994774i | \(0.532556\pi\) | |||||||
\(212\) | 2.02046 | + | 1.46795i | 0.138766 | + | 0.100819i | ||||
\(213\) | 7.44440 | + | 5.40868i | 0.510082 | + | 0.370596i | ||||
\(214\) | 0.771705 | − | 0.560677i | 0.0527527 | − | 0.0383271i | ||||
\(215\) | −6.12258 | + | 10.9987i | −0.417557 | + | 0.750102i | ||||
\(216\) | 9.41359 | + | 6.83938i | 0.640514 | + | 0.465361i | ||||
\(217\) | −0.590842 | − | 1.81842i | −0.0401089 | − | 0.123443i | ||||
\(218\) | −14.4403 | −0.978022 | ||||||||
\(219\) | 0.815121 | + | 2.50869i | 0.0550808 | + | 0.169521i | ||||
\(220\) | −1.59023 | − | 0.312083i | −0.107213 | − | 0.0210406i | ||||
\(221\) | 7.99779 | − | 24.6147i | 0.537990 | − | 1.65576i | ||||
\(222\) | 5.65609 | − | 17.4077i | 0.379612 | − | 1.16833i | ||||
\(223\) | 16.6198 | − | 12.0750i | 1.11294 | − | 0.808602i | 0.129820 | − | 0.991538i | \(-0.458560\pi\) |
0.983125 | + | 0.182936i | \(0.0585601\pi\) | |||||||
\(224\) | 2.92326 | 0.195319 | ||||||||
\(225\) | 0.739410 | − | 10.0534i | 0.0492940 | − | 0.670227i | ||||
\(226\) | −26.9522 | −1.79283 | ||||||||
\(227\) | −15.2756 | + | 11.0984i | −1.01388 | + | 0.736626i | −0.965019 | − | 0.262180i | \(-0.915559\pi\) |
−0.0488594 | + | 0.998806i | \(0.515559\pi\) | |||||||
\(228\) | 0.659728 | − | 2.03043i | 0.0436915 | − | 0.134469i | ||||
\(229\) | 2.10221 | − | 6.46993i | 0.138918 | − | 0.427545i | −0.857261 | − | 0.514882i | \(-0.827836\pi\) |
0.996179 | + | 0.0873372i | \(0.0278357\pi\) | |||||||
\(230\) | 7.09170 | + | 7.63244i | 0.467613 | + | 0.503268i | ||||
\(231\) | 0.419443 | + | 1.29091i | 0.0275974 | + | 0.0849359i | ||||
\(232\) | 14.7026 | 0.965271 | ||||||||
\(233\) | −2.27703 | − | 7.00796i | −0.149173 | − | 0.459107i | 0.848351 | − | 0.529434i | \(-0.177596\pi\) |
−0.997524 | + | 0.0703271i | \(0.977596\pi\) | |||||||
\(234\) | 16.0192 | + | 11.6386i | 1.04721 | + | 0.760839i | ||||
\(235\) | −15.8580 | − | 17.0672i | −1.03446 | − | 1.11334i | ||||
\(236\) | 0.251157 | − | 0.182476i | 0.0163489 | − | 0.0118782i | ||||
\(237\) | 1.16889 | + | 0.849249i | 0.0759276 | + | 0.0551646i | ||||
\(238\) | 5.39303 | + | 3.91826i | 0.349578 | + | 0.253983i | ||||
\(239\) | −11.4093 | + | 8.28933i | −0.738005 | + | 0.536192i | −0.892086 | − | 0.451866i | \(-0.850758\pi\) |
0.154081 | + | 0.988058i | \(0.450758\pi\) | |||||||
\(240\) | −1.27276 | − | 10.5225i | −0.0821563 | − | 0.679223i | ||||
\(241\) | 23.3548 | + | 16.9683i | 1.50442 | + | 1.09302i | 0.968581 | + | 0.248700i | \(0.0800034\pi\) |
0.535836 | + | 0.844322i | \(0.319997\pi\) | |||||||
\(242\) | −4.48600 | − | 13.8065i | −0.288371 | − | 0.887514i | ||||
\(243\) | −16.0307 | −1.02837 | ||||||||
\(244\) | 1.98132 | + | 6.09786i | 0.126841 | + | 0.390376i | ||||
\(245\) | −1.08759 | + | 1.95375i | −0.0694835 | + | 0.124821i | ||||
\(246\) | 1.59755 | − | 4.91674i | 0.101856 | − | 0.313480i | ||||
\(247\) | −7.75477 | + | 23.8667i | −0.493424 | + | 1.51860i | ||||
\(248\) | 3.61746 | − | 2.62824i | 0.229709 | − | 0.166893i | ||||
\(249\) | 14.6039 | 0.925483 | ||||||||
\(250\) | −13.8795 | + | 11.1158i | −0.877820 | + | 0.703024i | ||||
\(251\) | 7.01314 | 0.442666 | 0.221333 | − | 0.975198i | \(-0.428959\pi\) | ||||
0.221333 | + | 0.975198i | \(0.428959\pi\) | |||||||
\(252\) | −0.863843 | + | 0.627619i | −0.0544170 | + | 0.0395363i | ||||
\(253\) | 1.23878 | − | 3.81258i | 0.0778816 | − | 0.239695i | ||||
\(254\) | −9.33167 | + | 28.7199i | −0.585521 | + | 1.80205i | ||||
\(255\) | 4.52153 | − | 8.12251i | 0.283149 | − | 0.508651i | ||||
\(256\) | 3.67674 | + | 11.3158i | 0.229796 | + | 0.707240i | ||||
\(257\) | −2.89490 | −0.180579 | −0.0902895 | − | 0.995916i | \(-0.528779\pi\) | ||||
−0.0902895 | + | 0.995916i | \(0.528779\pi\) | |||||||
\(258\) | −2.74444 | − | 8.44651i | −0.170861 | − | 0.525857i | ||||
\(259\) | −9.38622 | − | 6.81949i | −0.583231 | − | 0.423742i | ||||
\(260\) | −0.878139 | − | 7.25997i | −0.0544599 | − | 0.450244i | ||||
\(261\) | −10.2543 | + | 7.45022i | −0.634728 | + | 0.461157i | ||||
\(262\) | 3.68280 | + | 2.67571i | 0.227524 | + | 0.165306i | ||||
\(263\) | 5.32621 | + | 3.86972i | 0.328428 | + | 0.238617i | 0.739763 | − | 0.672867i | \(-0.234937\pi\) |
−0.411335 | + | 0.911484i | \(0.634937\pi\) | |||||||
\(264\) | −2.56807 | + | 1.86581i | −0.158054 | + | 0.114833i | ||||
\(265\) | −7.17723 | − | 7.72449i | −0.440894 | − | 0.474511i | ||||
\(266\) | −5.22915 | − | 3.79920i | −0.320620 | − | 0.232944i | ||||
\(267\) | 2.03824 | + | 6.27306i | 0.124738 | + | 0.383905i | ||||
\(268\) | −4.25407 | −0.259859 | ||||||||
\(269\) | −0.551992 | − | 1.69886i | −0.0336556 | − | 0.103581i | 0.932818 | − | 0.360349i | \(-0.117342\pi\) |
−0.966473 | + | 0.256768i | \(0.917342\pi\) | |||||||
\(270\) | 12.0447 | + | 12.9631i | 0.733016 | + | 0.788908i | ||||
\(271\) | −2.56399 | + | 7.89113i | −0.155751 | + | 0.479352i | −0.998236 | − | 0.0593672i | \(-0.981092\pi\) |
0.842485 | + | 0.538719i | \(0.181092\pi\) | |||||||
\(272\) | −6.18933 | + | 19.0488i | −0.375283 | + | 1.15500i | ||||
\(273\) | −4.95531 | + | 3.60025i | −0.299909 | + | 0.217897i | ||||
\(274\) | −11.0153 | −0.665460 | ||||||||
\(275\) | 6.33459 | + | 2.58593i | 0.381990 | + | 0.155937i | ||||
\(276\) | −1.53897 | −0.0926353 | ||||||||
\(277\) | −11.7866 | + | 8.56344i | −0.708186 | + | 0.514527i | −0.882588 | − | 0.470147i | \(-0.844201\pi\) |
0.174402 | + | 0.984675i | \(0.444201\pi\) | |||||||
\(278\) | −5.20936 | + | 16.0328i | −0.312437 | + | 0.961581i | ||||
\(279\) | −1.19120 | + | 3.66614i | −0.0713154 | + | 0.219486i | ||||
\(280\) | −5.13141 | − | 1.00704i | −0.306660 | − | 0.0601822i | ||||
\(281\) | −6.75761 | − | 20.7978i | −0.403126 | − | 1.24069i | −0.922450 | − | 0.386116i | \(-0.873817\pi\) |
0.519325 | − | 0.854577i | \(-0.326183\pi\) | |||||||
\(282\) | 16.4370 | 0.978806 | ||||||||
\(283\) | 5.10554 | + | 15.7132i | 0.303493 | + | 0.934055i | 0.980235 | + | 0.197835i | \(0.0633911\pi\) |
−0.676742 | + | 0.736220i | \(0.736609\pi\) | |||||||
\(284\) | −3.97484 | − | 2.88789i | −0.235863 | − | 0.171365i | ||||
\(285\) | −4.38414 | + | 7.87570i | −0.259694 | + | 0.466516i | ||||
\(286\) | −10.8729 | + | 7.89959i | −0.642925 | + | 0.467112i | ||||
\(287\) | −2.65111 | − | 1.92615i | −0.156490 | − | 0.113697i | ||||
\(288\) | −4.76804 | − | 3.46418i | −0.280959 | − | 0.204129i | ||||
\(289\) | −0.458625 | + | 0.333211i | −0.0269780 | + | 0.0196006i | ||||
\(290\) | 21.9403 | + | 4.30579i | 1.28838 | + | 0.252845i | ||||
\(291\) | −2.46071 | − | 1.78781i | −0.144249 | − | 0.104803i | ||||
\(292\) | −0.435223 | − | 1.33948i | −0.0254695 | − | 0.0783871i | ||||
\(293\) | −12.0870 | −0.706131 | −0.353065 | − | 0.935599i | \(-0.614861\pi\) | ||||
−0.353065 | + | 0.935599i | \(0.614861\pi\) | |||||||
\(294\) | −0.487509 | − | 1.50040i | −0.0284321 | − | 0.0875051i | ||||
\(295\) | −1.18891 | + | 0.551793i | −0.0692211 | + | 0.0321267i | ||||
\(296\) | 8.38442 | − | 25.8046i | 0.487335 | − | 1.49986i | ||||
\(297\) | 2.10397 | − | 6.47537i | 0.122085 | − | 0.375739i | ||||
\(298\) | 3.12443 | − | 2.27003i | 0.180994 | − | 0.131500i | ||||
\(299\) | 18.0899 | 1.04616 | ||||||||
\(300\) | 0.192667 | − | 2.61960i | 0.0111236 | − | 0.151243i | ||||
\(301\) | −5.62950 | −0.324479 | ||||||||
\(302\) | 1.42150 | − | 1.03278i | 0.0817984 | − | 0.0594300i | ||||
\(303\) | 2.49413 | − | 7.67614i | 0.143284 | − | 0.440983i | ||||
\(304\) | 6.00126 | − | 18.4700i | 0.344196 | − | 1.05933i | ||||
\(305\) | −3.25063 | − | 26.8744i | −0.186131 | − | 1.53883i | ||||
\(306\) | −4.15309 | − | 12.7819i | −0.237417 | − | 0.730693i | ||||
\(307\) | 18.2333 | 1.04063 | 0.520316 | − | 0.853974i | \(-0.325814\pi\) | ||||
0.520316 | + | 0.853974i | \(0.325814\pi\) | |||||||
\(308\) | −0.223956 | − | 0.689267i | −0.0127611 | − | 0.0392746i | ||||
\(309\) | −12.0360 | − | 8.74464i | −0.684702 | − | 0.497465i | ||||
\(310\) | 6.16795 | − | 2.86265i | 0.350316 | − | 0.162587i | ||||
\(311\) | 6.95953 | − | 5.05639i | 0.394639 | − | 0.286722i | −0.372715 | − | 0.927946i | \(-0.621573\pi\) |
0.767354 | + | 0.641224i | \(0.221573\pi\) | |||||||
\(312\) | −11.5885 | − | 8.41957i | −0.656072 | − | 0.476664i | ||||
\(313\) | 14.3759 | + | 10.4447i | 0.812574 | + | 0.590369i | 0.914576 | − | 0.404415i | \(-0.132525\pi\) |
−0.102002 | + | 0.994784i | \(0.532525\pi\) | |||||||
\(314\) | −7.48541 | + | 5.43847i | −0.422426 | + | 0.306911i | ||||
\(315\) | 4.08921 | − | 1.89787i | 0.230401 | − | 0.106933i | ||||
\(316\) | −0.624114 | − | 0.453445i | −0.0351092 | − | 0.0255083i | ||||
\(317\) | −3.66044 | − | 11.2657i | −0.205591 | − | 0.632744i | −0.999689 | − | 0.0249535i | \(-0.992056\pi\) |
0.794098 | − | 0.607790i | \(-0.207944\pi\) | |||||||
\(318\) | 7.43926 | 0.417173 | ||||||||
\(319\) | −2.65850 | − | 8.18201i | −0.148847 | − | 0.458105i | ||||
\(320\) | −1.31787 | − | 10.8954i | −0.0736713 | − | 0.609073i | ||||
\(321\) | 0.183832 | − | 0.565778i | 0.0102605 | − | 0.0315786i | ||||
\(322\) | −1.43981 | + | 4.43128i | −0.0802374 | + | 0.246945i | ||||
\(323\) | 13.7801 | − | 10.0118i | 0.766743 | − | 0.557072i | ||||
\(324\) | 0.589483 | 0.0327490 | ||||||||
\(325\) | −2.26470 | + | 30.7921i | −0.125623 | + | 1.70804i | ||||
\(326\) | 5.97146 | 0.330729 | ||||||||
\(327\) | −7.28585 | + | 5.29348i | −0.402908 | + | 0.292730i | ||||
\(328\) | 2.36816 | − | 7.28844i | 0.130760 | − | 0.402437i | ||||
\(329\) | 3.21961 | − | 9.90893i | 0.177503 | − | 0.546297i | ||||
\(330\) | −4.37868 | + | 2.03222i | −0.241038 | + | 0.111870i | ||||
\(331\) | 4.70856 | + | 14.4915i | 0.258806 | + | 0.796523i | 0.993056 | + | 0.117644i | \(0.0375341\pi\) |
−0.734250 | + | 0.678879i | \(0.762466\pi\) | |||||||
\(332\) | −7.79755 | −0.427946 | ||||||||
\(333\) | 7.22820 | + | 22.2461i | 0.396103 | + | 1.21908i | ||||
\(334\) | −11.8842 | − | 8.63435i | −0.650273 | − | 0.472451i | ||||
\(335\) | 17.6247 | + | 3.45885i | 0.962938 | + | 0.188977i | ||||
\(336\) | 3.83481 | − | 2.78616i | 0.209206 | − | 0.151997i | ||||
\(337\) | −24.7836 | − | 18.0063i | −1.35005 | − | 0.980867i | −0.999009 | − | 0.0445055i | \(-0.985829\pi\) |
−0.351038 | − | 0.936361i | \(-0.614171\pi\) | |||||||
\(338\) | −32.3369 | − | 23.4942i | −1.75890 | − | 1.27791i | ||||
\(339\) | −13.5987 | + | 9.88003i | −0.738580 | + | 0.536610i | ||||
\(340\) | −2.41421 | + | 4.33691i | −0.130929 | + | 0.235202i | ||||
\(341\) | −2.11672 | − | 1.53789i | −0.114627 | − | 0.0832814i | ||||
\(342\) | 4.02690 | + | 12.3935i | 0.217750 | + | 0.670164i | ||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | −4.06827 | − | 12.5209i | −0.219347 | − | 0.675079i | ||||
\(345\) | 6.37598 | + | 1.25129i | 0.343271 | + | 0.0673671i | ||||
\(346\) | −3.64281 | + | 11.2114i | −0.195838 | + | 0.602729i | ||||
\(347\) | −8.79682 | + | 27.0738i | −0.472238 | + | 1.45340i | 0.377409 | + | 0.926047i | \(0.376815\pi\) |
−0.849647 | + | 0.527352i | \(0.823185\pi\) | |||||||
\(348\) | −2.67196 | + | 1.94129i | −0.143232 | + | 0.104064i | ||||
\(349\) | −18.5302 | −0.991901 | −0.495951 | − | 0.868351i | \(-0.665180\pi\) | ||||
−0.495951 | + | 0.868351i | \(0.665180\pi\) | |||||||
\(350\) | −7.36254 | − | 3.00556i | −0.393545 | − | 0.160654i | ||||
\(351\) | 30.7242 | 1.63994 | ||||||||
\(352\) | 3.23626 | − | 2.35128i | 0.172493 | − | 0.125324i | ||||
\(353\) | −0.453070 | + | 1.39441i | −0.0241145 | + | 0.0742168i | −0.962390 | − | 0.271673i | \(-0.912423\pi\) |
0.938275 | + | 0.345890i | \(0.112423\pi\) | |||||||
\(354\) | 0.285764 | − | 0.879492i | 0.0151882 | − | 0.0467445i | ||||
\(355\) | 14.1197 | + | 15.1964i | 0.749398 | + | 0.806540i | ||||
\(356\) | −1.08829 | − | 3.34942i | −0.0576793 | − | 0.177519i | ||||
\(357\) | 4.15739 | 0.220032 | ||||||||
\(358\) | 4.44691 | + | 13.6862i | 0.235026 | + | 0.723337i | ||||
\(359\) | −6.23006 | − | 4.52640i | −0.328810 | − | 0.238894i | 0.411116 | − | 0.911583i | \(-0.365139\pi\) |
−0.739925 | + | 0.672689i | \(0.765139\pi\) | |||||||
\(360\) | 7.17629 | + | 7.72347i | 0.378223 | + | 0.407063i | ||||
\(361\) | 2.00998 | − | 1.46034i | 0.105788 | − | 0.0768598i | ||||
\(362\) | 8.07009 | + | 5.86326i | 0.424154 | + | 0.308166i | ||||
\(363\) | −7.32453 | − | 5.32158i | −0.384438 | − | 0.279311i | ||||
\(364\) | 2.64583 | − | 1.92230i | 0.138679 | − | 0.100756i | ||||
\(365\) | 0.714047 | + | 5.90334i | 0.0373749 | + | 0.308995i | ||||
\(366\) | 15.4514 | + | 11.2261i | 0.807655 | + | 0.586796i | ||||
\(367\) | −6.61470 | − | 20.3580i | −0.345285 | − | 1.06268i | −0.961431 | − | 0.275046i | \(-0.911307\pi\) |
0.616146 | − | 0.787632i | \(-0.288693\pi\) | |||||||
\(368\) | −13.9994 | −0.729768 | ||||||||
\(369\) | 2.04158 | + | 6.28335i | 0.106281 | + | 0.327098i | ||||
\(370\) | 20.0690 | − | 36.0521i | 1.04334 | − | 1.87426i | ||||
\(371\) | 1.45717 | − | 4.48472i | 0.0756527 | − | 0.232835i | ||||
\(372\) | −0.310390 | + | 0.955281i | −0.0160930 | + | 0.0495290i | ||||
\(373\) | 0.374477 | − | 0.272074i | 0.0193897 | − | 0.0140874i | −0.578048 | − | 0.816003i | \(-0.696185\pi\) |
0.597438 | + | 0.801915i | \(0.296185\pi\) | |||||||
\(374\) | 9.12206 | 0.471690 | ||||||||
\(375\) | −2.92813 | + | 10.6964i | −0.151208 | + | 0.552358i | ||||
\(376\) | 24.3657 | 1.25656 | ||||||||
\(377\) | 31.4075 | − | 22.8189i | 1.61757 | − | 1.17523i | ||||
\(378\) | −2.44540 | + | 7.52617i | −0.125778 | + | 0.387104i | ||||
\(379\) | 8.43489 | − | 25.9599i | 0.433271 | − | 1.33347i | −0.461577 | − | 0.887100i | \(-0.652716\pi\) |
0.894848 | − | 0.446371i | \(-0.147284\pi\) | |||||||
\(380\) | 2.34085 | − | 4.20513i | 0.120083 | − | 0.215718i | ||||
\(381\) | 5.81976 | + | 17.9114i | 0.298155 | + | 0.917628i | ||||
\(382\) | 28.8661 | 1.47692 | ||||||||
\(383\) | 9.25361 | + | 28.4797i | 0.472837 | + | 1.45524i | 0.848852 | + | 0.528630i | \(0.177294\pi\) |
−0.376015 | + | 0.926614i | \(0.622706\pi\) | |||||||
\(384\) | 10.9560 | + | 7.95998i | 0.559094 | + | 0.406206i | ||||
\(385\) | 0.367433 | + | 3.03773i | 0.0187261 | + | 0.154817i | ||||
\(386\) | −24.0893 | + | 17.5019i | −1.22611 | + | 0.890822i | ||||
\(387\) | 9.18210 | + | 6.67119i | 0.466752 | + | 0.339116i | ||||
\(388\) | 1.31386 | + | 0.954578i | 0.0667013 | + | 0.0484613i | ||||
\(389\) | −0.207457 | + | 0.150727i | −0.0105185 | + | 0.00764214i | −0.593032 | − | 0.805179i | \(-0.702069\pi\) |
0.582514 | + | 0.812821i | \(0.302069\pi\) | |||||||
\(390\) | −14.8275 | − | 15.9581i | −0.750821 | − | 0.808071i | ||||
\(391\) | −9.93345 | − | 7.21707i | −0.502356 | − | 0.364983i | ||||
\(392\) | −0.722670 | − | 2.22415i | −0.0365003 | − | 0.112336i | ||||
\(393\) | 2.83901 | 0.143209 | ||||||||
\(394\) | 2.33980 | + | 7.20116i | 0.117877 | + | 0.362789i | ||||
\(395\) | 2.21703 | + | 2.38607i | 0.111551 | + | 0.120056i | ||||
\(396\) | −0.451521 | + | 1.38964i | −0.0226898 | + | 0.0698319i | ||||
\(397\) | −0.876244 | + | 2.69680i | −0.0439774 | + | 0.135349i | −0.970634 | − | 0.240559i | \(-0.922669\pi\) |
0.926657 | + | 0.375908i | \(0.122669\pi\) | |||||||
\(398\) | 1.30654 | − | 0.949254i | 0.0654907 | − | 0.0475818i | ||||
\(399\) | −4.03106 | −0.201805 | ||||||||
\(400\) | 1.75261 | − | 23.8293i | 0.0876303 | − | 1.19147i | ||||
\(401\) | −17.2543 | −0.861641 | −0.430820 | − | 0.902438i | \(-0.641776\pi\) | ||||
−0.430820 | + | 0.902438i | \(0.641776\pi\) | |||||||
\(402\) | −10.2518 | + | 7.44837i | −0.511313 | + | 0.371491i | ||||
\(403\) | 3.64848 | − | 11.2289i | 0.181744 | − | 0.559349i | ||||
\(404\) | −1.33171 | + | 4.09857i | −0.0662549 | + | 0.203912i | ||||
\(405\) | −2.44223 | − | 0.479289i | −0.121355 | − | 0.0238161i | ||||
\(406\) | 3.08991 | + | 9.50976i | 0.153350 | + | 0.471962i | ||||
\(407\) | −15.8764 | −0.786962 | ||||||||
\(408\) | 3.00442 | + | 9.24665i | 0.148741 | + | 0.457777i | ||||
\(409\) | −14.0640 | − | 10.2181i | −0.695421 | − | 0.505253i | 0.183017 | − | 0.983110i | \(-0.441414\pi\) |
−0.878438 | + | 0.477857i | \(0.841414\pi\) | |||||||
\(410\) | 5.66843 | − | 10.1828i | 0.279944 | − | 0.502893i | ||||
\(411\) | −5.55777 | + | 4.03795i | −0.274144 | + | 0.199178i | ||||
\(412\) | 6.42645 | + | 4.66909i | 0.316608 | + | 0.230029i | ||||
\(413\) | −0.474223 | − | 0.344543i | −0.0233350 | − | 0.0169539i | ||||
\(414\) | 7.59967 | − | 5.52148i | 0.373503 | − | 0.271366i | ||||
\(415\) | 32.3053 | + | 6.33993i | 1.58580 | + | 0.311215i | ||||
\(416\) | 14.6038 | + | 10.6103i | 0.716010 | + | 0.520212i | ||||
\(417\) | 3.24885 | + | 9.99894i | 0.159097 | + | 0.489650i | ||||
\(418\) | −8.84487 | −0.432617 | ||||||||
\(419\) | 1.56918 | + | 4.82945i | 0.0766597 | + | 0.235934i | 0.982042 | − | 0.188664i | \(-0.0604155\pi\) |
−0.905382 | + | 0.424598i | \(0.860416\pi\) | |||||||
\(420\) | 1.06552 | − | 0.494524i | 0.0519920 | − | 0.0241303i | ||||
\(421\) | −9.32260 | + | 28.6920i | −0.454356 | + | 1.39836i | 0.417534 | + | 0.908661i | \(0.362894\pi\) |
−0.871890 | + | 0.489702i | \(0.837106\pi\) | |||||||
\(422\) | 9.52821 | − | 29.3248i | 0.463826 | − | 1.42751i | ||||
\(423\) | −16.9939 | + | 12.3468i | −0.826271 | + | 0.600321i | ||||
\(424\) | 11.0277 | 0.535554 | ||||||||
\(425\) | 13.5283 | − | 16.0049i | 0.656218 | − | 0.776353i | ||||
\(426\) | −14.6352 | −0.709080 | ||||||||
\(427\) | 9.79413 | − | 7.11585i | 0.473971 | − | 0.344360i | ||||
\(428\) | −0.0981549 | + | 0.302090i | −0.00474450 | + | 0.0146021i | ||||
\(429\) | −2.59008 | + | 7.97146i | −0.125050 | + | 0.384866i | ||||
\(430\) | −2.40413 | − | 19.8760i | −0.115937 | − | 0.958505i | ||||
\(431\) | 11.7579 | + | 36.1871i | 0.566358 | + | 1.74307i | 0.663881 | + | 0.747839i | \(0.268908\pi\) |
−0.0975221 | + | 0.995233i | \(0.531092\pi\) | |||||||
\(432\) | −23.7768 | −1.14396 | ||||||||
\(433\) | 4.41940 | + | 13.6015i | 0.212383 | + | 0.653647i | 0.999329 | + | 0.0366256i | \(0.0116609\pi\) |
−0.786946 | + | 0.617022i | \(0.788339\pi\) | |||||||
\(434\) | 2.46022 | + | 1.78745i | 0.118094 | + | 0.0858005i | ||||
\(435\) | 12.6483 | − | 5.87030i | 0.606442 | − | 0.281459i | ||||
\(436\) | 3.89018 | − | 2.82638i | 0.186306 | − | 0.135359i | ||||
\(437\) | 9.63161 | + | 6.99777i | 0.460742 | + | 0.334749i | ||||
\(438\) | −3.39410 | − | 2.46596i | −0.162177 | − | 0.117828i | ||||
\(439\) | 19.2561 | − | 13.9904i | 0.919043 | − | 0.667724i | −0.0242423 | − | 0.999706i | \(-0.507717\pi\) |
0.943286 | + | 0.331982i | \(0.107717\pi\) | |||||||
\(440\) | −6.49083 | + | 3.01250i | −0.309438 | + | 0.143615i | ||||
\(441\) | 1.63107 | + | 1.18504i | 0.0776699 | + | 0.0564305i | ||||
\(442\) | 12.7203 | + | 39.1491i | 0.605044 | + | 1.86213i | ||||
\(443\) | −34.0901 | −1.61967 | −0.809835 | − | 0.586658i | \(-0.800443\pi\) | ||||
−0.809835 | + | 0.586658i | \(0.800443\pi\) | |||||||
\(444\) | 1.88344 | + | 5.79663i | 0.0893841 | + | 0.275096i | ||||
\(445\) | 1.78550 | + | 14.7615i | 0.0846408 | + | 0.699763i | ||||
\(446\) | −10.0967 | + | 31.0744i | −0.478091 | + | 1.47141i | ||||
\(447\) | 0.744289 | − | 2.29069i | 0.0352037 | − | 0.108346i | ||||
\(448\) | 3.97074 | − | 2.88491i | 0.187600 | − | 0.136299i | ||||
\(449\) | −10.0195 | −0.472848 | −0.236424 | − | 0.971650i | \(-0.575975\pi\) | ||||
−0.236424 | + | 0.971650i | \(0.575975\pi\) | |||||||
\(450\) | 8.44710 | + | 13.6272i | 0.398200 | + | 0.642392i | ||||
\(451\) | −4.48424 | −0.211154 | ||||||||
\(452\) | 7.26084 | − | 5.27531i | 0.341521 | − | 0.248130i | ||||
\(453\) | 0.338625 | − | 1.04218i | 0.0159100 | − | 0.0489659i | ||||
\(454\) | 9.28007 | − | 28.5611i | 0.435535 | − | 1.34044i | ||||
\(455\) | −12.5246 | + | 5.81289i | −0.587164 | + | 0.272512i | ||||
\(456\) | −2.91313 | − | 8.96568i | −0.136420 | − | 0.419856i | ||||
\(457\) | 16.1014 | 0.753193 | 0.376597 | − | 0.926377i | \(-0.377094\pi\) | ||||
0.376597 | + | 0.926377i | \(0.377094\pi\) | |||||||
\(458\) | 3.34351 | + | 10.2903i | 0.156232 | + | 0.480833i | ||||
\(459\) | −16.8712 | − | 12.2576i | −0.787479 | − | 0.572137i | ||||
\(460\) | −3.40437 | − | 0.668109i | −0.158730 | − | 0.0311508i | ||||
\(461\) | 7.36811 | − | 5.35324i | 0.343167 | − | 0.249325i | −0.402830 | − | 0.915275i | \(-0.631973\pi\) |
0.745997 | + | 0.665949i | \(0.231973\pi\) | |||||||
\(462\) | −1.74653 | − | 1.26893i | −0.0812560 | − | 0.0590359i | ||||
\(463\) | −10.8220 | − | 7.86267i | −0.502943 | − | 0.365409i | 0.307197 | − | 0.951646i | \(-0.400609\pi\) |
−0.810140 | + | 0.586236i | \(0.800609\pi\) | |||||||
\(464\) | −24.3056 | + | 17.6591i | −1.12836 | + | 0.819802i | ||||
\(465\) | 2.06265 | − | 3.70537i | 0.0956533 | − | 0.171832i | ||||
\(466\) | 9.48136 | + | 6.88861i | 0.439216 | + | 0.319109i | ||||
\(467\) | −0.978280 | − | 3.01084i | −0.0452694 | − | 0.139325i | 0.925867 | − | 0.377849i | \(-0.123336\pi\) |
−0.971136 | + | 0.238524i | \(0.923336\pi\) | |||||||
\(468\) | −6.59353 | −0.304786 | ||||||||
\(469\) | 2.48213 | + | 7.63921i | 0.114614 | + | 0.352746i | ||||
\(470\) | 36.3602 | + | 7.13572i | 1.67717 | + | 0.329146i | ||||
\(471\) | −1.78314 | + | 5.48795i | −0.0821629 | + | 0.252871i | ||||
\(472\) | 0.423609 | − | 1.30373i | 0.0194982 | − | 0.0600092i | ||||
\(473\) | −6.23226 | + | 4.52800i | −0.286560 | + | 0.208198i | ||||
\(474\) | −2.29797 | −0.105549 | ||||||||
\(475\) | −13.1172 | + | 15.5186i | −0.601859 | + | 0.712042i | ||||
\(476\) | −2.21978 | −0.101744 | ||||||||
\(477\) | −7.69132 | + | 5.58807i | −0.352161 | + | 0.255860i | ||||
\(478\) | 6.93124 | − | 21.3321i | 0.317027 | − | 0.975710i | ||||
\(479\) | 9.89496 | − | 30.4536i | 0.452112 | − | 1.39146i | −0.422380 | − | 0.906419i | \(-0.638805\pi\) |
0.874492 | − | 0.485040i | \(-0.161195\pi\) | |||||||
\(480\) | 4.41335 | + | 4.74987i | 0.201441 | + | 0.216801i | ||||
\(481\) | −22.1389 | − | 68.1365i | −1.00945 | − | 3.10676i | ||||
\(482\) | −45.9141 | −2.09133 | ||||||||
\(483\) | 0.897947 | + | 2.76360i | 0.0408580 | + | 0.125748i | ||||
\(484\) | 3.91084 | + | 2.84139i | 0.177765 | + | 0.129154i | ||||
\(485\) | −4.66721 | − | 5.02308i | −0.211927 | − | 0.228086i | ||||
\(486\) | 20.6270 | − | 14.9864i | 0.935660 | − | 0.679797i | ||||
\(487\) | −25.7691 | − | 18.7223i | −1.16771 | − | 0.848390i | −0.176976 | − | 0.984215i | \(-0.556632\pi\) |
−0.990733 | + | 0.135825i | \(0.956632\pi\) | |||||||
\(488\) | 22.9046 | + | 16.6412i | 1.03684 | + | 0.753311i | ||||
\(489\) | 3.01290 | − | 2.18900i | 0.136248 | − | 0.0989899i | ||||
\(490\) | −0.427058 | − | 3.53068i | −0.0192925 | − | 0.159500i | ||||
\(491\) | 33.4256 | + | 24.2851i | 1.50848 | + | 1.09597i | 0.966848 | + | 0.255354i | \(0.0821921\pi\) |
0.541629 | + | 0.840618i | \(0.317808\pi\) | |||||||
\(492\) | 0.531972 | + | 1.63724i | 0.0239832 | + | 0.0738126i | ||||
\(493\) | −26.3502 | −1.18675 | ||||||||
\(494\) | −12.3338 | − | 37.9595i | −0.554923 | − | 1.70788i | ||||
\(495\) | 3.00052 | − | 5.39016i | 0.134863 | − | 0.242270i | ||||
\(496\) | −2.82348 | + | 8.68978i | −0.126778 | + | 0.390182i | ||||
\(497\) | −2.86670 | + | 8.82278i | −0.128589 | + | 0.395756i | ||||
\(498\) | −18.7911 | + | 13.6526i | −0.842052 | + | 0.611786i | ||||
\(499\) | −4.16196 | −0.186315 | −0.0931576 | − | 0.995651i | \(-0.529696\pi\) | ||||
−0.0931576 | + | 0.995651i | \(0.529696\pi\) | |||||||
\(500\) | 1.56344 | − | 5.71118i | 0.0699190 | − | 0.255412i | ||||
\(501\) | −9.16129 | −0.409296 | ||||||||
\(502\) | −9.02398 | + | 6.55630i | −0.402760 | + | 0.292622i | ||||
\(503\) | −6.89369 | + | 21.2166i | −0.307374 | + | 0.946001i | 0.671406 | + | 0.741090i | \(0.265691\pi\) |
−0.978780 | + | 0.204912i | \(0.934309\pi\) | |||||||
\(504\) | −1.45698 | + | 4.48413i | −0.0648991 | + | 0.199739i | ||||
\(505\) | 8.84969 | − | 15.8977i | 0.393806 | − | 0.707436i | ||||
\(506\) | 1.97026 | + | 6.06383i | 0.0875886 | + | 0.269570i | ||||
\(507\) | −24.9280 | −1.10709 | ||||||||
\(508\) | −3.10739 | − | 9.56355i | −0.137868 | − | 0.424314i | ||||
\(509\) | −11.8692 | − | 8.62344i | −0.526091 | − | 0.382227i | 0.292803 | − | 0.956173i | \(-0.405412\pi\) |
−0.818893 | + | 0.573945i | \(0.805412\pi\) | |||||||
\(510\) | 1.77545 | + | 14.6784i | 0.0786182 | + | 0.649971i | ||||
\(511\) | −2.15142 | + | 1.56310i | −0.0951730 | + | 0.0691473i | ||||
\(512\) | 6.78093 | + | 4.92664i | 0.299678 | + | 0.217729i | ||||
\(513\) | 16.3585 | + | 11.8852i | 0.722246 | + | 0.524743i | ||||
\(514\) | 3.72494 | − | 2.70632i | 0.164300 | − | 0.119371i | ||||
\(515\) | −22.8285 | − | 24.5692i | −1.00595 | − | 1.08265i | ||||
\(516\) | 2.39257 | + | 1.73830i | 0.105327 | + | 0.0765244i | ||||
\(517\) | −4.40576 | − | 13.5595i | −0.193765 | − | 0.596348i | ||||
\(518\) | 18.4527 | 0.810767 | ||||||||
\(519\) | 2.27186 | + | 6.99207i | 0.0997236 | + | 0.306918i | ||||
\(520\) | −21.9799 | − | 23.6559i | −0.963883 | − | 1.03738i | ||||
\(521\) | 3.84994 | − | 11.8489i | 0.168669 | − | 0.519109i | −0.830619 | − | 0.556841i | \(-0.812013\pi\) |
0.999288 | + | 0.0377319i | \(0.0120133\pi\) | |||||||
\(522\) | 6.22960 | − | 19.1727i | 0.272662 | − | 0.839168i | ||||
\(523\) | 23.2382 | − | 16.8835i | 1.01613 | − | 0.738264i | 0.0506469 | − | 0.998717i | \(-0.483872\pi\) |
0.965487 | + | 0.260452i | \(0.0838717\pi\) | |||||||
\(524\) | −1.51585 | −0.0662202 | ||||||||
\(525\) | −4.81653 | + | 1.18248i | −0.210211 | + | 0.0516077i | ||||
\(526\) | −10.4710 | −0.456557 | ||||||||
\(527\) | −6.48327 | + | 4.71037i | −0.282415 | + | 0.205187i | ||||
\(528\) | 2.00441 | − | 6.16894i | 0.0872308 | − | 0.268469i | ||||
\(529\) | −4.45540 | + | 13.7123i | −0.193713 | + | 0.596187i | ||||
\(530\) | 16.4564 | + | 3.22958i | 0.714821 | + | 0.140284i | ||||
\(531\) | 0.365192 | + | 1.12395i | 0.0158480 | + | 0.0487751i | ||||
\(532\) | 2.15233 | 0.0933154 | ||||||||
\(533\) | −6.25307 | − | 19.2450i | −0.270851 | − | 0.833592i | ||||
\(534\) | −8.48708 | − | 6.16622i | −0.367272 | − | 0.266839i | ||||
\(535\) | 0.652276 | − | 1.17175i | 0.0282003 | − | 0.0506593i | ||||
\(536\) | −15.1970 | + | 11.0412i | −0.656409 | + | 0.476909i | ||||
\(537\) | 7.26071 | + | 5.27521i | 0.313323 | + | 0.227642i | ||||
\(538\) | 2.29845 | + | 1.66993i | 0.0990934 | + | 0.0719956i | ||||
\(539\) | −1.10707 | + | 0.804334i | −0.0476849 | + | 0.0346451i | ||||
\(540\) | −5.78205 | − | 1.13473i | −0.248820 | − | 0.0488310i | ||||
\(541\) | −8.17584 | − | 5.94009i | −0.351507 | − | 0.255385i | 0.397994 | − | 0.917388i | \(-0.369706\pi\) |
−0.749501 | + | 0.662003i | \(0.769706\pi\) | |||||||
\(542\) | −4.07796 | − | 12.5507i | −0.175163 | − | 0.539098i | ||||
\(543\) | 6.22109 | 0.266972 | ||||||||
\(544\) | −3.78615 | − | 11.6526i | −0.162330 | − | 0.499600i | ||||
\(545\) | −18.4151 | + | 8.54675i | −0.788816 | + | 0.366103i | ||||
\(546\) | 3.01039 | − | 9.26504i | 0.128833 | − | 0.396507i | ||||
\(547\) | −11.3386 | + | 34.8965i | −0.484801 | + | 1.49207i | 0.347467 | + | 0.937692i | \(0.387042\pi\) |
−0.832268 | + | 0.554373i | \(0.812958\pi\) | |||||||
\(548\) | 2.96750 | − | 2.15601i | 0.126765 | − | 0.0921003i | ||||
\(549\) | −24.4075 | −1.04168 | ||||||||
\(550\) | −10.5683 | + | 2.59458i | −0.450635 | + | 0.110633i | ||||
\(551\) | 25.5495 | 1.08844 | ||||||||
\(552\) | −5.49773 | + | 3.99433i | −0.233999 | + | 0.170010i | ||||
\(553\) | −0.450117 | + | 1.38532i | −0.0191409 | + | 0.0589097i | ||||
\(554\) | 7.16044 | − | 22.0376i | 0.304218 | − | 0.936286i | ||||
\(555\) | −3.09005 | − | 25.5469i | −0.131166 | − | 1.08440i | ||||
\(556\) | −1.73468 | − | 5.33880i | −0.0735669 | − | 0.226416i | ||||
\(557\) | −4.45573 | −0.188795 | −0.0943976 | − | 0.995535i | \(-0.530093\pi\) | ||||
−0.0943976 | + | 0.995535i | \(0.530093\pi\) | |||||||
\(558\) | −1.89458 | − | 5.83092i | −0.0802040 | − | 0.246842i | ||||
\(559\) | −28.1234 | − | 20.4329i | −1.18949 | − | 0.864218i | ||||
\(560\) | 9.69255 | − | 4.49847i | 0.409585 | − | 0.190095i | ||||
\(561\) | 4.60252 | − | 3.34393i | 0.194319 | − | 0.141181i | ||||
\(562\) | 28.1382 | + | 20.4436i | 1.18694 | + | 0.862361i | ||||
\(563\) | −33.6846 | − | 24.4733i | −1.41964 | − | 1.03143i | −0.991831 | − | 0.127556i | \(-0.959287\pi\) |
−0.427805 | − | 0.903871i | \(-0.640713\pi\) | |||||||
\(564\) | −4.42807 | + | 3.21718i | −0.186455 | + | 0.135468i | ||||
\(565\) | −34.3709 | + | 15.9521i | −1.44600 | + | 0.671110i | ||||
\(566\) | −21.2591 | − | 15.4456i | −0.893586 | − | 0.649228i | ||||
\(567\) | −0.343946 | − | 1.05856i | −0.0144444 | − | 0.0444552i | ||||
\(568\) | −21.6949 | −0.910296 | ||||||||
\(569\) | 8.60235 | + | 26.4753i | 0.360629 | + | 1.10990i | 0.952673 | + | 0.303997i | \(0.0983212\pi\) |
−0.592044 | + | 0.805906i | \(0.701679\pi\) | |||||||
\(570\) | −1.72150 | − | 14.2324i | −0.0721056 | − | 0.596129i | ||||
\(571\) | 5.89552 | − | 18.1445i | 0.246720 | − | 0.759325i | −0.748629 | − | 0.662989i | \(-0.769288\pi\) |
0.995349 | − | 0.0963363i | \(-0.0307124\pi\) | |||||||
\(572\) | 1.38294 | − | 4.25626i | 0.0578237 | − | 0.177963i | ||||
\(573\) | 14.5644 | − | 10.5816i | 0.608435 | − | 0.442054i | ||||
\(574\) | 5.21192 | 0.217541 | ||||||||
\(575\) | 13.5611 | + | 5.53596i | 0.565538 | + | 0.230866i | ||||
\(576\) | −9.89527 | −0.412303 | ||||||||
\(577\) | 0.329497 | − | 0.239394i | 0.0137172 | − | 0.00996609i | −0.580906 | − | 0.813971i | \(-0.697301\pi\) |
0.594623 | + | 0.804005i | \(0.297301\pi\) | |||||||
\(578\) | 0.278619 | − | 0.857500i | 0.0115890 | − | 0.0356673i | ||||
\(579\) | −5.73844 | + | 17.6611i | −0.238481 | + | 0.733970i | ||||
\(580\) | −6.75342 | + | 3.13437i | −0.280420 | + | 0.130148i | ||||
\(581\) | 4.54964 | + | 14.0024i | 0.188751 | + | 0.580916i | ||||
\(582\) | 4.83760 | 0.200525 | ||||||||
\(583\) | −1.99402 | − | 6.13696i | −0.0825838 | − | 0.254167i | ||||
\(584\) | −5.03132 | − | 3.65547i | −0.208198 | − | 0.151264i | ||||
\(585\) | 27.3170 | + | 5.36098i | 1.12942 | + | 0.221649i | ||||
\(586\) | 15.5526 | − | 11.2997i | 0.642474 | − | 0.466784i | ||||
\(587\) | 15.4101 | + | 11.1961i | 0.636045 | + | 0.462114i | 0.858489 | − | 0.512832i | \(-0.171404\pi\) |
−0.222444 | + | 0.974945i | \(0.571404\pi\) | |||||||
\(588\) | 0.425005 | + | 0.308784i | 0.0175269 | + | 0.0127340i | ||||
\(589\) | 6.28626 | − | 4.56724i | 0.259021 | − | 0.188190i | ||||
\(590\) | 1.01395 | − | 1.82147i | 0.0417437 | − | 0.0749887i | ||||
\(591\) | 3.82032 | + | 2.77562i | 0.157147 | + | 0.114174i | ||||
\(592\) | 17.1328 | + | 52.7294i | 0.704155 | + | 2.16717i | ||||
\(593\) | −17.2428 | −0.708076 | −0.354038 | − | 0.935231i | \(-0.615192\pi\) | ||||
−0.354038 | + | 0.935231i | \(0.615192\pi\) | |||||||
\(594\) | 3.34632 | + | 10.2989i | 0.137301 | + | 0.422570i | ||||
\(595\) | 9.19658 | + | 1.80483i | 0.377023 | + | 0.0739909i | ||||
\(596\) | −0.397404 | + | 1.22308i | −0.0162783 | + | 0.0500994i | ||||
\(597\) | 0.311237 | − | 0.957890i | 0.0127381 | − | 0.0392038i | ||||
\(598\) | −23.2767 | + | 16.9115i | −0.951853 | + | 0.691562i | ||||
\(599\) | 26.4257 | 1.07972 | 0.539862 | − | 0.841753i | \(-0.318476\pi\) | ||||
0.539862 | + | 0.841753i | \(0.318476\pi\) | |||||||
\(600\) | −6.11078 | − | 9.85814i | −0.249471 | − | 0.402457i | ||||
\(601\) | 16.3134 | 0.665437 | 0.332718 | − | 0.943026i | \(-0.392034\pi\) | ||||
0.332718 | + | 0.943026i | \(0.392034\pi\) | |||||||
\(602\) | 7.24361 | − | 5.26279i | 0.295228 | − | 0.214495i | ||||
\(603\) | 5.00425 | − | 15.4015i | 0.203789 | − | 0.627197i | ||||
\(604\) | −0.180804 | + | 0.556458i | −0.00735682 | + | 0.0226420i | ||||
\(605\) | −13.8924 | − | 14.9517i | −0.564806 | − | 0.607872i | ||||
\(606\) | 3.96686 | + | 12.2087i | 0.161143 | + | 0.495946i | ||||
\(607\) | 16.3699 | 0.664432 | 0.332216 | − | 0.943203i | \(-0.392204\pi\) | ||||
0.332216 | + | 0.943203i | \(0.392204\pi\) | |||||||
\(608\) | 3.67110 | + | 11.2985i | 0.148883 | + | 0.458214i | ||||
\(609\) | 5.04506 | + | 3.66545i | 0.204436 | + | 0.148532i | ||||
\(610\) | 29.3065 | + | 31.5411i | 1.18658 | + | 1.27706i | ||||
\(611\) | 52.0497 | − | 37.8164i | 2.10571 | − | 1.52989i | ||||
\(612\) | 3.62062 | + | 2.63053i | 0.146355 | + | 0.106333i | ||||
\(613\) | −35.9194 | − | 26.0970i | −1.45077 | − | 1.05405i | −0.985650 | − | 0.168801i | \(-0.946011\pi\) |
−0.465122 | − | 0.885247i | \(-0.653989\pi\) | |||||||
\(614\) | −23.4613 | + | 17.0456i | −0.946820 | + | 0.687905i | ||||
\(615\) | −0.872777 | − | 7.21564i | −0.0351938 | − | 0.290963i | ||||
\(616\) | −2.58901 | − | 1.88102i | −0.104314 | − | 0.0757886i | ||||
\(617\) | −0.573620 | − | 1.76542i | −0.0230931 | − | 0.0710732i | 0.938846 | − | 0.344338i | \(-0.111897\pi\) |
−0.961939 | + | 0.273265i | \(0.911897\pi\) | |||||||
\(618\) | 23.6620 | 0.951824 | ||||||||
\(619\) | 8.20286 | + | 25.2458i | 0.329701 | + | 1.01471i | 0.969274 | + | 0.245984i | \(0.0791112\pi\) |
−0.639573 | + | 0.768730i | \(0.720889\pi\) | |||||||
\(620\) | −1.10133 | + | 1.97843i | −0.0442304 | + | 0.0794558i | ||||
\(621\) | 4.50420 | − | 13.8625i | 0.180747 | − | 0.556283i | ||||
\(622\) | −4.22797 | + | 13.0124i | −0.169526 | + | 0.521748i | ||||
\(623\) | −5.37969 | + | 3.90858i | −0.215533 | + | 0.156594i | ||||
\(624\) | 29.2703 | 1.17175 | ||||||||
\(625\) | −11.1209 | + | 22.3903i | −0.444836 | + | 0.895612i | ||||
\(626\) | −28.2621 | −1.12958 | ||||||||
\(627\) | −4.46267 | + | 3.24232i | −0.178222 | + | 0.129486i | ||||
\(628\) | 0.952086 | − | 2.93022i | 0.0379923 | − | 0.116928i | ||||
\(629\) | −15.0267 | + | 46.2474i | −0.599153 | + | 1.84400i | ||||
\(630\) | −3.48744 | + | 6.26486i | −0.138943 | + | 0.249598i | ||||
\(631\) | 14.2080 | + | 43.7279i | 0.565613 | + | 1.74078i | 0.666122 | + | 0.745842i | \(0.267953\pi\) |
−0.100509 | + | 0.994936i | \(0.532047\pi\) | |||||||
\(632\) | −3.40644 | −0.135501 | ||||||||
\(633\) | −5.94234 | − | 18.2886i | −0.236187 | − | 0.726908i | ||||
\(634\) | 15.2418 | + | 11.0738i | 0.605329 | + | 0.439797i | ||||
\(635\) | 5.09811 | + | 42.1484i | 0.202312 | + | 1.67261i | ||||
\(636\) | −2.00412 | + | 1.45608i | −0.0794684 | + | 0.0577371i | ||||
\(637\) | −4.99572 | − | 3.62960i | −0.197938 | − | 0.143810i | ||||
\(638\) | 11.0698 | + | 8.04266i | 0.438257 | + | 0.318412i | ||||
\(639\) | 15.1311 | − | 10.9934i | 0.598578 | − | 0.434892i | ||||
\(640\) | 20.7801 | + | 22.3646i | 0.821406 | + | 0.884038i | ||||
\(641\) | −33.2013 | − | 24.1222i | −1.31137 | − | 0.952769i | −0.999997 | − | 0.00248279i | \(-0.999210\pi\) |
−0.311377 | − | 0.950286i | \(-0.600790\pi\) | |||||||
\(642\) | 0.292381 | + | 0.899857i | 0.0115394 | + | 0.0355145i | ||||
\(643\) | 8.92058 | 0.351793 | 0.175897 | − | 0.984409i | \(-0.443718\pi\) | ||||
0.175897 | + | 0.984409i | \(0.443718\pi\) | |||||||
\(644\) | −0.479447 | − | 1.47559i | −0.0188929 | − | 0.0581462i | ||||
\(645\) | −8.49906 | − | 9.14711i | −0.334650 | − | 0.360167i | ||||
\(646\) | −8.37151 | + | 25.7648i | −0.329372 | + | 1.01370i | ||||
\(647\) | 1.54253 | − | 4.74741i | 0.0606430 | − | 0.186640i | −0.916146 | − | 0.400846i | \(-0.868716\pi\) |
0.976789 | + | 0.214206i | \(0.0687163\pi\) | |||||||
\(648\) | 2.10583 | − | 1.52997i | 0.0827248 | − | 0.0601031i | ||||
\(649\) | −0.802126 | −0.0314862 | ||||||||
\(650\) | −25.8722 | − | 41.7381i | −1.01479 | − | 1.63710i | ||||
\(651\) | 1.89654 | 0.0743312 | ||||||||
\(652\) | −1.60870 | + | 1.16879i | −0.0630014 | + | 0.0457732i | ||||
\(653\) | −3.60705 | + | 11.1014i | −0.141155 | + | 0.434430i | −0.996497 | − | 0.0836344i | \(-0.973347\pi\) |
0.855342 | + | 0.518064i | \(0.173347\pi\) | |||||||
\(654\) | 4.42621 | − | 13.6225i | 0.173079 | − | 0.532681i | ||||
\(655\) | 6.28018 | + | 1.23249i | 0.245387 | + | 0.0481573i | ||||
\(656\) | 4.83912 | + | 14.8933i | 0.188936 | + | 0.581485i | ||||
\(657\) | 5.36144 | 0.209170 | ||||||||
\(658\) | 5.12071 | + | 15.7599i | 0.199626 | + | 0.614386i | ||||
\(659\) | 38.9253 | + | 28.2809i | 1.51631 | + | 1.10167i | 0.963277 | + | 0.268510i | \(0.0865312\pi\) |
0.553037 | + | 0.833157i | \(0.313469\pi\) | |||||||
\(660\) | 0.781842 | − | 1.40451i | 0.0304331 | − | 0.0546703i | ||||
\(661\) | 17.2494 | − | 12.5324i | 0.670923 | − | 0.487454i | −0.199411 | − | 0.979916i | \(-0.563903\pi\) |
0.870334 | + | 0.492462i | \(0.163903\pi\) | |||||||
\(662\) | −19.6061 | − | 14.2447i | −0.762013 | − | 0.553635i | ||||
\(663\) | 20.7691 | + | 15.0897i | 0.806607 | + | 0.586034i | ||||
\(664\) | −27.8555 | + | 20.2382i | −1.08100 | + | 0.785393i | ||||
\(665\) | −8.91713 | − | 1.74999i | −0.345791 | − | 0.0678617i | ||||
\(666\) | −30.0977 | − | 21.8672i | −1.16626 | − | 0.847338i | ||||
\(667\) | −5.69132 | − | 17.5161i | −0.220369 | − | 0.678226i | ||||
\(668\) | 4.89155 | 0.189260 | ||||||||
\(669\) | 6.29686 | + | 19.3797i | 0.243451 | + | 0.749264i | ||||
\(670\) | −25.9116 | + | 12.0260i | −1.00105 | + | 0.464605i | ||||
\(671\) | 5.11927 | − | 15.7555i | 0.197627 | − | 0.608235i | ||||
\(672\) | −0.896032 | + | 2.75770i | −0.0345652 | + | 0.106381i | ||||
\(673\) | 24.5594 | − | 17.8435i | 0.946695 | − | 0.687815i | −0.00332751 | − | 0.999994i | \(-0.501059\pi\) |
0.950023 | + | 0.312180i | \(0.101059\pi\) | |||||||
\(674\) | 48.7230 | 1.87674 | ||||||||
\(675\) | 23.0325 | + | 9.40240i | 0.886520 | + | 0.361898i | ||||
\(676\) | 13.3100 | 0.511922 | ||||||||
\(677\) | 34.1330 | − | 24.7991i | 1.31184 | − | 0.953106i | 0.311843 | − | 0.950134i | \(-0.399054\pi\) |
0.999996 | − | 0.00297276i | \(-0.000946260\pi\) | |||||||
\(678\) | 8.26132 | − | 25.4257i | 0.317274 | − | 0.976469i | ||||
\(679\) | 0.947571 | − | 2.91632i | 0.0363644 | − | 0.111918i | ||||
\(680\) | 2.63187 | + | 21.7589i | 0.100928 | + | 0.834414i | ||||
\(681\) | −5.78758 | − | 17.8123i | −0.221780 | − | 0.682570i | ||||
\(682\) | 4.16135 | 0.159346 | ||||||||
\(683\) | 8.08886 | + | 24.8950i | 0.309512 | + | 0.952579i | 0.977955 | + | 0.208816i | \(0.0669610\pi\) |
−0.668443 | + | 0.743763i | \(0.733039\pi\) | |||||||
\(684\) | −3.51060 | − | 2.55060i | −0.134231 | − | 0.0975246i | ||||
\(685\) | −14.0473 | + | 6.51960i | −0.536721 | + | 0.249101i | ||||
\(686\) | 1.28672 | − | 0.934859i | 0.0491273 | − | 0.0356931i | ||||
\(687\) | 5.45914 | + | 3.96629i | 0.208279 | + | 0.151324i | ||||
\(688\) | 21.7641 | + | 15.8126i | 0.829750 | + | 0.602848i | ||||
\(689\) | 23.5574 | − | 17.1154i | 0.897465 | − | 0.652046i | ||||
\(690\) | −9.37390 | + | 4.35058i | −0.356858 | + | 0.165624i | ||||
\(691\) | −4.73621 | − | 3.44105i | −0.180174 | − | 0.130904i | 0.494043 | − | 0.869438i | \(-0.335519\pi\) |
−0.674217 | + | 0.738534i | \(0.735519\pi\) | |||||||
\(692\) | −1.21303 | − | 3.73332i | −0.0461125 | − | 0.141920i | ||||
\(693\) | 2.75888 | 0.104801 | ||||||||
\(694\) | −13.9911 | − | 43.0603i | −0.531097 | − | 1.63455i | ||||
\(695\) | 2.84600 | + | 23.5291i | 0.107955 | + | 0.892510i | ||||
\(696\) | −4.50660 | + | 13.8699i | −0.170822 | + | 0.525737i | ||||
\(697\) | −4.24424 | + | 13.0624i | −0.160762 | + | 0.494775i | ||||
\(698\) | 23.8433 | − | 17.3232i | 0.902482 | − | 0.655692i | ||||
\(699\) | 7.30901 | 0.276452 | ||||||||
\(700\) | 2.57172 | − | 0.631370i | 0.0972020 | − | 0.0238635i | ||||
\(701\) | 50.9656 | 1.92494 | 0.962471 | − | 0.271384i | \(-0.0874812\pi\) | ||||
0.962471 | + | 0.271384i | \(0.0874812\pi\) | |||||||
\(702\) | −39.5335 | + | 28.7228i | −1.49210 | + | 1.08407i | ||||
\(703\) | 14.5701 | − | 44.8421i | 0.549521 | − | 1.69125i | ||||
\(704\) | 2.07546 | − | 6.38760i | 0.0782217 | − | 0.240742i | ||||
\(705\) | 20.9613 | − | 9.72849i | 0.789449 | − | 0.366396i | ||||
\(706\) | −0.720598 | − | 2.21777i | −0.0271201 | − | 0.0834670i | ||||
\(707\) | 8.13698 | 0.306023 | ||||||||
\(708\) | 0.0951576 | + | 0.292865i | 0.00357624 | + | 0.0110065i | ||||
\(709\) | −0.734569 | − | 0.533695i | −0.0275873 | − | 0.0200434i | 0.573906 | − | 0.818921i | \(-0.305427\pi\) |
−0.601493 | + | 0.798878i | \(0.705427\pi\) | |||||||
\(710\) | −32.3747 | − | 6.35355i | −1.21500 | − | 0.238444i | ||||
\(711\) | 2.37583 | − | 1.72614i | 0.0891005 | − | 0.0647353i | ||||
\(712\) | −12.5810 | − | 9.14063i | −0.471493 | − | 0.342560i | ||||
\(713\) | −4.53149 | − | 3.29232i | −0.169706 | − | 0.123298i | ||||
\(714\) | −5.34941 | + | 3.88657i | −0.200197 | + | 0.145451i | ||||
\(715\) | −9.19016 | + | 16.5093i | −0.343692 | + | 0.617412i | ||||
\(716\) | −3.87676 | − | 2.81663i | −0.144881 | − | 0.105262i | ||||
\(717\) | −4.32271 | − | 13.3039i | −0.161435 | − | 0.496845i | ||||
\(718\) | 12.2479 | 0.457088 | ||||||||
\(719\) | 3.17866 | + | 9.78290i | 0.118544 | + | 0.364841i | 0.992670 | − | 0.120859i | \(-0.0385649\pi\) |
−0.874126 | + | 0.485700i | \(0.838565\pi\) | |||||||
\(720\) | −21.1401 | − | 4.14875i | −0.787844 | − | 0.154615i | ||||
\(721\) | 4.63482 | − | 14.2645i | 0.172610 | − | 0.531238i | ||||
\(722\) | −1.22108 | + | 3.75810i | −0.0454439 | + | 0.139862i | ||||
\(723\) | −23.1659 | + | 16.8310i | −0.861550 | + | 0.625953i | ||||
\(724\) | −3.32167 | −0.123449 | ||||||||
\(725\) | 30.5279 | − | 7.49474i | 1.13378 | − | 0.278348i | ||||
\(726\) | 14.3996 | 0.534418 | ||||||||
\(727\) | −2.02149 | + | 1.46870i | −0.0749728 | + | 0.0544709i | −0.624640 | − | 0.780913i | \(-0.714754\pi\) |
0.549668 | + | 0.835384i | \(0.314754\pi\) | |||||||
\(728\) | 4.46252 | − | 13.7342i | 0.165392 | − | 0.509024i | ||||
\(729\) | 3.88184 | − | 11.9471i | 0.143772 | − | 0.442484i | ||||
\(730\) | −6.43757 | − | 6.92843i | −0.238265 | − | 0.256433i | ||||
\(731\) | 7.29122 | + | 22.4401i | 0.269675 | + | 0.829975i | ||||
\(732\) | −6.35981 | −0.235065 | ||||||||
\(733\) | −2.10812 | − | 6.48812i | −0.0778652 | − | 0.239644i | 0.904546 | − | 0.426377i | \(-0.140210\pi\) |
−0.982411 | + | 0.186732i | \(0.940210\pi\) | |||||||
\(734\) | 27.5431 | + | 20.0113i | 1.01664 | + | 0.738629i | ||||
\(735\) | −1.50974 | − | 1.62485i | −0.0556875 | − | 0.0599336i | ||||
\(736\) | 6.92820 | − | 5.03363i | 0.255377 | − | 0.185542i | ||||
\(737\) | 8.89237 | + | 6.46068i | 0.327555 | + | 0.237982i | ||||
\(738\) | −8.50100 | − | 6.17634i | −0.312926 | − | 0.227354i | ||||
\(739\) | 5.65565 | − | 4.10907i | 0.208046 | − | 0.151154i | −0.478883 | − | 0.877879i | \(-0.658958\pi\) |
0.686929 | + | 0.726724i | \(0.258958\pi\) | |||||||
\(740\) | 1.64989 | + | 13.6404i | 0.0606513 | + | 0.501431i | ||||
\(741\) | −20.1381 | − | 14.6311i | −0.739790 | − | 0.537489i | ||||
\(742\) | 2.31760 | + | 7.13284i | 0.0850818 | + | 0.261855i | ||||
\(743\) | −37.7430 | −1.38466 | −0.692328 | − | 0.721583i | \(-0.743415\pi\) | ||||
−0.692328 | + | 0.721583i | \(0.743415\pi\) | |||||||
\(744\) | 1.37057 | + | 4.21819i | 0.0502476 | + | 0.154646i | ||||
\(745\) | 2.64089 | − | 4.74412i | 0.0967549 | − | 0.173811i | ||||
\(746\) | −0.227498 | + | 0.700167i | −0.00832929 | + | 0.0256349i | ||||
\(747\) | 9.17258 | − | 28.2303i | 0.335607 | − | 1.03289i | ||||
\(748\) | −2.45746 | + | 1.78545i | −0.0898536 | + | 0.0652824i | ||||
\(749\) | 0.599745 | 0.0219142 | ||||||||
\(750\) | −6.23190 | − | 16.5007i | −0.227557 | − | 0.602519i | ||||
\(751\) | −42.0524 | −1.53451 | −0.767256 | − | 0.641341i | \(-0.778378\pi\) | ||||
−0.767256 | + | 0.641341i | \(0.778378\pi\) | |||||||
\(752\) | −40.2802 | + | 29.2653i | −1.46887 | + | 1.06720i | ||||
\(753\) | −2.14965 | + | 6.61595i | −0.0783377 | + | 0.241099i | ||||
\(754\) | −19.0803 | + | 58.7232i | −0.694865 | + | 2.13857i | ||||
\(755\) | 1.20151 | − | 2.15840i | 0.0437275 | − | 0.0785524i | ||||
\(756\) | −0.814302 | − | 2.50617i | −0.0296159 | − | 0.0911483i | ||||
\(757\) | 6.02693 | 0.219052 | 0.109526 | − | 0.993984i | \(-0.465067\pi\) | ||||
0.109526 | + | 0.993984i | \(0.465067\pi\) | |||||||
\(758\) | 13.4155 | + | 41.2887i | 0.487273 | + | 1.49967i | ||||
\(759\) | 3.21695 | + | 2.33725i | 0.116768 | + | 0.0848367i | ||||
\(760\) | −2.55190 | − | 21.0977i | −0.0925671 | − | 0.765294i | ||||
\(761\) | −25.6199 | + | 18.6140i | −0.928722 | + | 0.674756i | −0.945680 | − | 0.325100i | \(-0.894602\pi\) |
0.0169578 | + | 0.999856i | \(0.494602\pi\) | |||||||
\(762\) | −24.2330 | − | 17.6063i | −0.877871 | − | 0.637810i | ||||
\(763\) | −7.34526 | − | 5.33664i | −0.265916 | − | 0.193199i | ||||
\(764\) | −7.77645 | + | 5.64993i | −0.281342 | + | 0.204407i | ||||
\(765\) | −12.8614 | − | 13.8421i | −0.465006 | − | 0.500463i | ||||
\(766\) | −38.5313 | − | 27.9947i | −1.39219 | − | 1.01149i | ||||
\(767\) | −1.11853 | − | 3.44248i | −0.0403878 | − | 0.124301i | ||||
\(768\) | −11.8020 | −0.425866 | ||||||||
\(769\) | −5.58514 | − | 17.1893i | −0.201405 | − | 0.619862i | −0.999842 | − | 0.0177830i | \(-0.994339\pi\) |
0.798436 | − | 0.602079i | \(-0.205661\pi\) | |||||||
\(770\) | −3.31263 | − | 3.56522i | −0.119379 | − | 0.128482i | ||||
\(771\) | 0.887338 | − | 2.73095i | 0.0319567 | − | 0.0983526i | ||||
\(772\) | 3.06396 | − | 9.42991i | 0.110275 | − | 0.339390i | ||||
\(773\) | 26.8458 | − | 19.5046i | 0.965575 | − | 0.701531i | 0.0111359 | − | 0.999938i | \(-0.496455\pi\) |
0.954439 | + | 0.298407i | \(0.0964553\pi\) | |||||||
\(774\) | −18.0514 | −0.648846 | ||||||||
\(775\) | 6.17141 | − | 7.30121i | 0.221683 | − | 0.262267i | ||||
\(776\) | 7.17112 | 0.257428 | ||||||||
\(777\) | 9.31031 | − | 6.76433i | 0.334005 | − | 0.242669i | ||||
\(778\) | 0.126032 | − | 0.387887i | 0.00451847 | − | 0.0139064i | ||||
\(779\) | 4.11528 | − | 12.6655i | 0.147445 | − | 0.453789i | ||||
\(780\) | 7.11796 | + | 1.39690i | 0.254864 | + | 0.0500171i | ||||
\(781\) | 3.92283 | + | 12.0732i | 0.140370 | + | 0.432014i | ||||
\(782\) | 19.5285 | 0.698340 | ||||||||
\(783\) | −9.66626 | − | 29.7497i | −0.345444 | − | 1.06317i | ||||
\(784\) | 3.86608 | + | 2.80887i | 0.138074 | + | 0.100317i | ||||
\(785\) | −6.32696 | + | 11.3658i | −0.225819 | + | 0.405663i | ||||
\(786\) | −3.65301 | + | 2.65407i | −0.130299 | + | 0.0946675i | ||||
\(787\) | 28.8313 | + | 20.9472i | 1.02773 | + | 0.746686i | 0.967852 | − | 0.251520i | \(-0.0809304\pi\) |
0.0598732 | + | 0.998206i | \(0.480930\pi\) | |||||||
\(788\) | −2.03981 | − | 1.48201i | −0.0726651 | − | 0.0527943i | ||||
\(789\) | −5.28313 | + | 3.83842i | −0.188085 | + | 0.136651i | ||||
\(790\) | −5.08334 | − | 0.997609i | −0.180857 | − | 0.0354933i | ||||
\(791\) | −13.7096 | − | 9.96059i | −0.487456 | − | 0.354158i | ||||
\(792\) | 1.99376 | + | 6.13615i | 0.0708451 | + | 0.218039i | ||||
\(793\) | 74.7564 | 2.65468 | ||||||||
\(794\) | −1.39365 | − | 4.28920i | −0.0494586 | − | 0.152218i | ||||
\(795\) | 9.48695 | − | 4.40305i | 0.336468 | − | 0.156160i | ||||
\(796\) | −0.166181 | + | 0.511453i | −0.00589013 | + | 0.0181280i | ||||
\(797\) | 13.0932 | − | 40.2966i | 0.463784 | − | 1.42738i | −0.396721 | − | 0.917939i | \(-0.629852\pi\) |
0.860505 | − | 0.509441i | \(-0.170148\pi\) | |||||||
\(798\) | 5.18686 | − | 3.76847i | 0.183613 | − | 0.133403i | ||||
\(799\) | −43.6685 | −1.54488 | ||||||||
\(800\) | 7.70076 | + | 12.4232i | 0.272263 | + | 0.439225i | ||||
\(801\) | 13.4065 | 0.473694 | ||||||||
\(802\) | 22.2016 | − | 16.1304i | 0.783964 | − | 0.569583i | ||||
\(803\) | −1.12452 | + | 3.46092i | −0.0396834 | + | 0.122133i | ||||
\(804\) | 1.30395 | − | 4.01314i | 0.0459867 | − | 0.141533i | ||||
\(805\) | 0.786602 | + | 6.50318i | 0.0277241 | + | 0.229207i | ||||
\(806\) | 5.80282 | + | 17.8592i | 0.204396 | + | 0.629065i | ||||
\(807\) | 1.77184 | 0.0623716 | ||||||||
\(808\) | 5.88035 | + | 18.0979i | 0.206870 | + | 0.636681i | ||||
\(809\) | −17.1841 | − | 12.4850i | −0.604162 | − | 0.438950i | 0.243192 | − | 0.969978i | \(-0.421806\pi\) |
−0.847354 | + | 0.531029i | \(0.821806\pi\) | |||||||
\(810\) | 3.59054 | − | 1.66643i | 0.126159 | − | 0.0585524i | ||||
\(811\) | −31.5548 | + | 22.9259i | −1.10804 | + | 0.805036i | −0.982353 | − | 0.187034i | \(-0.940113\pi\) |
−0.125684 | + | 0.992070i | \(0.540113\pi\) | |||||||
\(812\) | −2.69375 | − | 1.95712i | −0.0945319 | − | 0.0686815i | ||||
\(813\) | −6.65831 | − | 4.83754i | −0.233517 | − | 0.169660i | ||||
\(814\) | 20.4285 | − | 14.8422i | 0.716018 | − | 0.520218i | ||||
\(815\) | 7.61514 | − | 3.53431i | 0.266747 | − | 0.123802i | ||||
\(816\) | −16.0728 | − | 11.6776i | −0.562661 | − | 0.408797i | ||||
\(817\) | −7.06966 | − | 21.7582i | −0.247336 | − | 0.761223i | ||||
\(818\) | 27.6490 | 0.966725 | ||||||||
\(819\) | 3.84713 | + | 11.8403i | 0.134430 | + | 0.413732i | ||||
\(820\) | 0.466008 | + | 3.85270i | 0.0162737 | + | 0.134542i | ||||
\(821\) | −0.994052 | + | 3.05938i | −0.0346927 | + | 0.106773i | −0.966903 | − | 0.255143i | \(-0.917877\pi\) |
0.932211 | + | 0.361916i | \(0.117877\pi\) | |||||||
\(822\) | 3.37639 | − | 10.3915i | 0.117765 | − | 0.362444i | ||||
\(823\) | −39.0644 | + | 28.3819i | −1.36170 | + | 0.989332i | −0.363364 | + | 0.931647i | \(0.618372\pi\) |
−0.998335 | + | 0.0576850i | \(0.981628\pi\) | |||||||
\(824\) | 35.0758 | 1.22192 | ||||||||
\(825\) | −4.38113 | + | 5.18319i | −0.152531 | + | 0.180456i | ||||
\(826\) | 0.932293 | 0.0324386 | ||||||||
\(827\) | −2.49564 | + | 1.81319i | −0.0867817 | + | 0.0630506i | −0.630330 | − | 0.776327i | \(-0.717080\pi\) |
0.543548 | + | 0.839378i | \(0.317080\pi\) | |||||||
\(828\) | −0.966618 | + | 2.97494i | −0.0335923 | + | 0.103386i | ||||
\(829\) | −16.1384 | + | 49.6689i | −0.560510 | + | 1.72507i | 0.120420 | + | 0.992723i | \(0.461576\pi\) |
−0.680930 | + | 0.732349i | \(0.738424\pi\) | |||||||
\(830\) | −47.4949 | + | 22.0432i | −1.64857 | + | 0.765130i | ||||
\(831\) | −4.46566 | − | 13.7439i | −0.154912 | − | 0.476770i | ||||
\(832\) | 30.3078 | 1.05073 | ||||||||
\(833\) | 1.29518 | + | 3.98615i | 0.0448753 | + | 0.138112i | ||||
\(834\) | −13.5280 | − | 9.82865i | −0.468436 | − | 0.340338i | ||||
\(835\) | −20.2657 | − | 3.97716i | −0.701325 | − | 0.137635i | ||||
\(836\) | 2.38278 | − | 1.73119i | 0.0824103 | − | 0.0598746i | ||||
\(837\) | −7.69638 | − | 5.59175i | −0.266026 | − | 0.193279i | ||||
\(838\) | −6.53396 | − | 4.74720i | −0.225712 | − | 0.163989i | ||||
\(839\) | 19.2271 | − | 13.9693i | 0.663794 | − | 0.482275i | −0.204148 | − | 0.978940i | \(-0.565442\pi\) |
0.867942 | + | 0.496665i | \(0.165442\pi\) | |||||||
\(840\) | 2.52287 | − | 4.53211i | 0.0870474 | − | 0.156373i | ||||
\(841\) | −8.51489 | − | 6.18643i | −0.293617 | − | 0.213325i | ||||
\(842\) | −14.8274 | − | 45.6340i | −0.510985 | − | 1.57265i | ||||
\(843\) | 21.6912 | 0.747086 | ||||||||
\(844\) | 3.17283 | + | 9.76497i | 0.109213 | + | 0.336124i | ||||
\(845\) | −55.1433 | − | 10.8219i | −1.89699 | − | 0.372284i | ||||
\(846\) | 10.3239 | − | 31.7738i | 0.354944 | − | 1.09240i | ||||
\(847\) | 2.82053 | − | 8.68071i | 0.0969147 | − | 0.298273i | ||||
\(848\) | −18.2306 | + | 13.2453i | −0.626040 | + | 0.454845i | ||||
\(849\) | −16.3883 | −0.562443 | ||||||||
\(850\) | −2.44481 | + | 33.2410i | −0.0838564 | + | 1.14016i | ||||
\(851\) | −33.9882 | −1.16510 | ||||||||
\(852\) | 3.94269 | − | 2.86453i | 0.135074 | − | 0.0981373i | ||||
\(853\) | −3.26484 | + | 10.0482i | −0.111786 | + | 0.344042i | −0.991263 | − | 0.131899i | \(-0.957893\pi\) |
0.879477 | + | 0.475941i | \(0.157893\pi\) | |||||||
\(854\) | −5.95001 | + | 18.3123i | −0.203605 | + | 0.626633i | ||||
\(855\) | 12.4706 | + | 13.4215i | 0.426487 | + | 0.459006i | ||||
\(856\) | 0.433417 | + | 1.33392i | 0.0148139 | + | 0.0455925i | ||||
\(857\) | −9.90009 | −0.338181 | −0.169090 | − | 0.985601i | \(-0.554083\pi\) | ||||
−0.169090 | + | 0.985601i | \(0.554083\pi\) | |||||||
\(858\) | −4.11947 | − | 12.6784i | −0.140636 | − | 0.432834i | ||||
\(859\) | 28.9304 | + | 21.0192i | 0.987094 | + | 0.717166i | 0.959283 | − | 0.282447i | \(-0.0911462\pi\) |
0.0278114 | + | 0.999613i | \(0.491146\pi\) | |||||||
\(860\) | 4.53796 | + | 4.88398i | 0.154743 | + | 0.166542i | ||||
\(861\) | 2.62967 | − | 1.91057i | 0.0896189 | − | 0.0651120i | ||||
\(862\) | −48.9590 | − | 35.5708i | −1.66755 | − | 1.21155i | ||||
\(863\) | −26.9239 | − | 19.5613i | −0.916500 | − | 0.665876i | 0.0261505 | − | 0.999658i | \(-0.491675\pi\) |
−0.942650 | + | 0.333782i | \(0.891675\pi\) | |||||||
\(864\) | 11.7670 | − | 8.54923i | 0.400321 | − | 0.290851i | ||||
\(865\) | 1.99015 | + | 16.4535i | 0.0676672 | + | 0.559434i | ||||
\(866\) | −18.4020 | − | 13.3699i | −0.625327 | − | 0.454327i | ||||
\(867\) | −0.173763 | − | 0.534786i | −0.00590128 | − | 0.0181623i | ||||
\(868\) | −1.01263 | −0.0343710 | ||||||||
\(869\) | 0.615947 | + | 1.89569i | 0.0208946 | + | 0.0643069i | ||||
\(870\) | −10.7870 | + | 19.3779i | −0.365714 | + | 0.656972i | ||||
\(871\) | −15.3273 | + | 47.1725i | −0.519345 | + | 1.59838i | ||||
\(872\) | 6.56129 | − | 20.1936i | 0.222193 | − | 0.683841i | ||||
\(873\) | −5.00151 | + | 3.63381i | −0.169276 | + | 0.122986i | ||||
\(874\) | −18.9351 | −0.640491 | ||||||||
\(875\) | −11.1680 | + | 0.524786i | −0.377548 | + | 0.0177410i | ||||
\(876\) | 1.39702 | 0.0472010 | ||||||||
\(877\) | 28.4675 | − | 20.6828i | 0.961279 | − | 0.698410i | 0.00783170 | − | 0.999969i | \(-0.497507\pi\) |
0.953447 | + | 0.301559i | \(0.0975071\pi\) | |||||||
\(878\) | −11.6982 | + | 36.0035i | −0.394796 | + | 1.21506i | ||||
\(879\) | 3.70488 | − | 11.4025i | 0.124963 | − | 0.384595i | ||||
\(880\) | 7.11207 | − | 12.7762i | 0.239748 | − | 0.430685i | ||||
\(881\) | 0.531776 | + | 1.63664i | 0.0179160 | + | 0.0551398i | 0.959615 | − | 0.281317i | \(-0.0907713\pi\) |
−0.941699 | + | 0.336457i | \(0.890771\pi\) | |||||||
\(882\) | −3.20658 | −0.107971 | ||||||||
\(883\) | −2.87127 | − | 8.83688i | −0.0966261 | − | 0.297385i | 0.891048 | − | 0.453909i | \(-0.149971\pi\) |
−0.987674 | + | 0.156525i | \(0.949971\pi\) | |||||||
\(884\) | −11.0894 | − | 8.05693i | −0.372977 | − | 0.270984i | ||||
\(885\) | −0.156120 | − | 1.29071i | −0.00524791 | − | 0.0433868i | ||||
\(886\) | 43.8645 | − | 31.8695i | 1.47366 | − | 1.07068i | ||||
\(887\) | 41.2693 | + | 29.9839i | 1.38569 | + | 1.00676i | 0.996323 | + | 0.0856757i | \(0.0273049\pi\) |
0.389363 | + | 0.921084i | \(0.372695\pi\) | |||||||
\(888\) | 21.7732 | + | 15.8191i | 0.730660 | + | 0.530855i | ||||
\(889\) | −15.3606 | + | 11.1601i | −0.515177 | + | 0.374298i | ||||
\(890\) | −16.0974 | − | 17.3248i | −0.539585 | − | 0.580728i | ||||
\(891\) | −1.23221 | − | 0.895251i | −0.0412805 | − | 0.0299920i | ||||
\(892\) | −3.36212 | − | 10.3476i | −0.112572 | − | 0.346462i | ||||
\(893\) | 42.3416 | 1.41691 | ||||||||
\(894\) | 1.18378 | + | 3.64329i | 0.0395914 | + | 0.121850i | ||||
\(895\) | 13.7713 | + | 14.8214i | 0.460325 | + | 0.495424i | ||||
\(896\) | −4.21893 | + | 12.9845i | −0.140945 | + | 0.433783i | ||||
\(897\) | −5.54486 | + | 17.0653i | −0.185138 | + | 0.569795i | ||||
\(898\) | 12.8923 | − | 9.36679i | 0.430221 | − | 0.312574i | ||||
\(899\) | −12.0206 | −0.400908 | ||||||||
\(900\) | −4.94285 | − | 2.01779i | −0.164762 | − | 0.0672596i | ||||
\(901\) | −19.7641 | −0.658437 | ||||||||
\(902\) | 5.76997 | − | 4.19213i | 0.192119 | − | 0.139583i | ||||
\(903\) | 1.72554 | − | 5.31067i | 0.0574225 | − | 0.176728i | ||||
\(904\) | 12.2463 | − | 37.6904i | 0.407307 | − | 1.25356i | ||||
\(905\) | 13.7617 | + | 2.70074i | 0.457454 | + | 0.0897756i | ||||
\(906\) | 0.538575 | + | 1.65756i | 0.0178930 | + | 0.0550689i | ||||
\(907\) | −24.3602 | −0.808868 | −0.404434 | − | 0.914567i | \(-0.632532\pi\) | ||||
−0.404434 | + | 0.914567i | \(0.632532\pi\) | |||||||
\(908\) | 3.09020 | + | 9.51066i | 0.102552 | + | 0.315622i | ||||
\(909\) | −13.2720 | − | 9.64265i | −0.440203 | − | 0.319827i | ||||
\(910\) | 10.6815 | − | 19.1883i | 0.354089 | − | 0.636088i | ||||
\(911\) | −14.8168 | + | 10.7650i | −0.490901 | + | 0.356661i | −0.805531 | − | 0.592554i | \(-0.798120\pi\) |
0.314629 | + | 0.949215i | \(0.398120\pi\) | |||||||
\(912\) | 15.5844 | + | 11.3227i | 0.516052 | + | 0.374933i | ||||
\(913\) | 16.2994 | + | 11.8422i | 0.539430 | + | 0.391919i | ||||
\(914\) | −20.7181 | + | 15.0526i | −0.685293 | + | 0.497895i | ||||
\(915\) | 26.3488 | + | 5.17096i | 0.871063 | + | 0.170947i | ||||
\(916\) | −2.91483 | − | 2.11775i | −0.0963088 | − | 0.0699724i | ||||
\(917\) | 0.884454 | + | 2.72207i | 0.0292073 | + | 0.0898907i | ||||
\(918\) | 33.1677 | 1.09470 | ||||||||
\(919\) | 1.27236 | + | 3.91591i | 0.0419711 | + | 0.129174i | 0.969846 | − | 0.243717i | \(-0.0783667\pi\) |
−0.927875 | + | 0.372891i | \(0.878367\pi\) | |||||||
\(920\) | −13.8956 | + | 6.44917i | −0.458124 | + | 0.212623i | ||||
\(921\) | −5.58884 | + | 17.2007i | −0.184159 | + | 0.566782i | ||||
\(922\) | −4.47619 | + | 13.7763i | −0.147415 | + | 0.453698i | ||||
\(923\) | −46.3444 | + | 33.6712i | −1.52544 | + | 1.10830i | ||||
\(924\) | 0.718876 | 0.0236493 | ||||||||
\(925\) | 4.25504 | − | 57.8538i | 0.139905 | − | 1.90222i | ||||
\(926\) | 21.2755 | 0.699155 | ||||||||
\(927\) | −24.4637 | + | 17.7739i | −0.803493 | + | 0.583772i | ||||
\(928\) | 5.67918 | − | 17.4787i | 0.186428 | − | 0.573768i | ||||
\(929\) | 9.25166 | − | 28.4737i | 0.303537 | − | 0.934191i | −0.676682 | − | 0.736276i | \(-0.736583\pi\) |
0.980219 | − | 0.197916i | \(-0.0634173\pi\) | |||||||
\(930\) | 0.809933 | + | 6.69608i | 0.0265588 | + | 0.219573i | ||||
\(931\) | −1.25582 | − | 3.86503i | −0.0411580 | − | 0.126671i | ||||
\(932\) | −3.90255 | −0.127832 | ||||||||
\(933\) | 2.63680 | + | 8.11525i | 0.0863251 | + | 0.265681i | ||||
\(934\) | 4.07348 | + | 2.95956i | 0.133288 | + | 0.0968397i | ||||
\(935\) | 11.6330 | − | 5.39904i | 0.380438 | − | 0.176568i | ||||
\(936\) | −23.5543 | + | 17.1132i | −0.769896 | + | 0.559362i | ||||
\(937\) | −35.9962 | − | 26.1528i | −1.17594 | − | 0.854374i | −0.184236 | − | 0.982882i | \(-0.558981\pi\) |
−0.991708 | + | 0.128508i | \(0.958981\pi\) | |||||||
\(938\) | −10.3354 | − | 7.50910i | −0.337463 | − | 0.245181i | ||||
\(939\) | −14.2596 | + | 10.3602i | −0.465345 | + | 0.338093i | ||||
\(940\) | −11.1920 | + | 5.19440i | −0.365043 | + | 0.169423i | ||||
\(941\) | 29.1198 | + | 21.1568i | 0.949279 | + | 0.689692i | 0.950636 | − | 0.310307i | \(-0.100432\pi\) |
−0.00135701 | + | 0.999999i | \(0.500432\pi\) | |||||||
\(942\) | −2.83605 | − | 8.72846i | −0.0924034 | − | 0.284389i | ||||
\(943\) | −9.59987 | −0.312615 | ||||||||
\(944\) | 0.865607 | + | 2.66406i | 0.0281731 | + | 0.0867079i | ||||
\(945\) | 1.33598 | + | 11.0451i | 0.0434594 | + | 0.359299i | ||||
\(946\) | 3.78615 | − | 11.6526i | 0.123098 | − | 0.378858i | ||||
\(947\) | 9.07497 | − | 27.9299i | 0.294897 | − | 0.907599i | −0.688359 | − | 0.725370i | \(-0.741669\pi\) |
0.983256 | − | 0.182229i | \(-0.0583313\pi\) | |||||||
\(948\) | 0.619066 | − | 0.449778i | 0.0201063 | − | 0.0146081i | ||||
\(949\) | −16.4213 | −0.533058 | ||||||||
\(950\) | 2.37052 | − | 32.2309i | 0.0769100 | − | 1.04571i | ||||
\(951\) | 11.7496 | 0.381008 | ||||||||
\(952\) | −7.92981 | + | 5.76134i | −0.257007 | + | 0.186726i | ||||
\(953\) | −1.62304 | + | 4.99521i | −0.0525755 | + | 0.161811i | −0.973897 | − | 0.226991i | \(-0.927111\pi\) |
0.921321 | + | 0.388802i | \(0.127111\pi\) | |||||||
\(954\) | 4.67254 | − | 14.3806i | 0.151279 | − | 0.465589i | ||||
\(955\) | 36.8117 | − | 17.0849i | 1.19120 | − | 0.552854i | ||||
\(956\) | 2.30806 | + | 7.10346i | 0.0746478 | + | 0.229742i | ||||
\(957\) | 8.53349 | 0.275849 | ||||||||
\(958\) | 15.7377 | + | 48.4357i | 0.508462 | + | 1.56489i | ||||
\(959\) | −5.60309 | − | 4.07088i | −0.180933 | − | 0.131456i | ||||
\(960\) | 10.6823 | + | 2.09641i | 0.344770 | + | 0.0676613i | ||||
\(961\) | 22.1220 | − | 16.0725i | 0.713612 | − | 0.518469i | ||||
\(962\) | 92.1847 | + | 66.9761i | 2.97215 | + | 2.15940i | ||||
\(963\) | −0.978224 | − | 0.710721i | −0.0315228 | − | 0.0229027i | ||||
\(964\) | 12.3691 | − | 8.98671i | 0.398383 | − | 0.289442i | ||||
\(965\) | −20.3612 | + | 36.5770i | −0.655450 | + | 1.17746i | ||||
\(966\) | −3.73898 | − | 2.71653i | −0.120300 | − | 0.0874029i | ||||
\(967\) | −10.4705 | − | 32.2250i | −0.336710 | − | 1.03629i | −0.965874 | − | 0.259013i | \(-0.916603\pi\) |
0.629164 | − | 0.777272i | \(-0.283397\pi\) | |||||||
\(968\) | 21.3455 | 0.686071 | ||||||||
\(969\) | 5.22095 | + | 16.0684i | 0.167721 | + | 0.516192i | ||||
\(970\) | 10.7013 | + | 2.10013i | 0.343597 | + | 0.0674312i | ||||
\(971\) | −17.1147 | + | 52.6737i | −0.549238 | + | 1.69038i | 0.161458 | + | 0.986880i | \(0.448380\pi\) |
−0.710696 | + | 0.703500i | \(0.751620\pi\) | |||||||
\(972\) | −2.62359 | + | 8.07459i | −0.0841518 | + | 0.258993i | ||||
\(973\) | −8.57496 | + | 6.23007i | −0.274901 | + | 0.199727i | ||||
\(974\) | 50.6604 | 1.62327 | ||||||||
\(975\) | −28.3540 | − | 11.5748i | −0.908054 | − | 0.370689i | ||||
\(976\) | −57.8524 | −1.85181 | ||||||||
\(977\) | 31.2219 | − | 22.6840i | 0.998876 | − | 0.725726i | 0.0370294 | − | 0.999314i | \(-0.488210\pi\) |
0.961847 | + | 0.273588i | \(0.0882105\pi\) | |||||||
\(978\) | −1.83036 | + | 5.63327i | −0.0585284 | + | 0.180132i | ||||
\(979\) | −2.81190 | + | 8.65414i | −0.0898687 | + | 0.276588i | ||||
\(980\) | 0.806104 | + | 0.867569i | 0.0257500 | + | 0.0277135i | ||||
\(981\) | 5.65648 | + | 17.4088i | 0.180597 | + | 0.555822i | ||||
\(982\) | −65.7127 | −2.09698 | ||||||||
\(983\) | −2.70465 | − | 8.32405i | −0.0862648 | − | 0.265496i | 0.898614 | − | 0.438740i | \(-0.144575\pi\) |
−0.984879 | + | 0.173244i | \(0.944575\pi\) | |||||||
\(984\) | 6.14977 | + | 4.46807i | 0.196048 | + | 0.142437i | ||||
\(985\) | 7.24597 | + | 7.79847i | 0.230876 | + | 0.248480i | ||||
\(986\) | 33.9054 | − | 24.6337i | 1.07977 | − | 0.784497i | ||||
\(987\) | 8.36087 | + | 6.07453i | 0.266129 | + | 0.193354i | ||||
\(988\) | 10.7524 | + | 7.81211i | 0.342081 | + | 0.248536i | ||||
\(989\) | −13.3421 | + | 9.69357i | −0.424253 | + | 0.308238i | ||||
\(990\) | 1.17820 | + | 9.74071i | 0.0374457 | + | 0.309580i | ||||
\(991\) | 0.359892 | + | 0.261477i | 0.0114323 | + | 0.00830608i | 0.593487 | − | 0.804844i | \(-0.297751\pi\) |
−0.582054 | + | 0.813150i | \(0.697751\pi\) | |||||||
\(992\) | −1.72719 | − | 5.31573i | −0.0548382 | − | 0.168775i | ||||
\(993\) | −15.1140 | −0.479628 | ||||||||
\(994\) | −4.55941 | − | 14.0324i | −0.144616 | − | 0.445082i | ||||
\(995\) | 1.10433 | − | 1.98384i | 0.0350098 | − | 0.0628918i | ||||
\(996\) | 2.39009 | − | 7.35593i | 0.0757328 | − | 0.233082i | ||||
\(997\) | 14.0013 | − | 43.0917i | 0.443426 | − | 1.36473i | −0.440774 | − | 0.897618i | \(-0.645296\pi\) |
0.884200 | − | 0.467108i | \(-0.154704\pi\) | |||||||
\(998\) | 5.35530 | − | 3.89085i | 0.169519 | − | 0.123163i | ||||
\(999\) | −57.7263 | −1.82638 |
(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 | 175.2.h.b.36.2 | ✓ | 28 | |
5.2 | odd | 4 | 875.2.n.b.449.4 | 56 | |||
5.3 | odd | 4 | 875.2.n.b.449.11 | 56 | |||
5.4 | even | 2 | 875.2.h.b.176.6 | 28 | |||
25.4 | even | 10 | 4375.2.a.h.1.5 | 14 | |||
25.9 | even | 10 | 875.2.h.b.701.6 | 28 | |||
25.12 | odd | 20 | 875.2.n.b.799.11 | 56 | |||
25.13 | odd | 20 | 875.2.n.b.799.4 | 56 | |||
25.16 | even | 5 | inner | 175.2.h.b.141.2 | yes | 28 | |
25.21 | even | 5 | 4375.2.a.g.1.10 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.h.b.36.2 | ✓ | 28 | 1.1 | even | 1 | trivial | |
175.2.h.b.141.2 | yes | 28 | 25.16 | even | 5 | inner | |
875.2.h.b.176.6 | 28 | 5.4 | even | 2 | |||
875.2.h.b.701.6 | 28 | 25.9 | even | 10 | |||
875.2.n.b.449.4 | 56 | 5.2 | odd | 4 | |||
875.2.n.b.449.11 | 56 | 5.3 | odd | 4 | |||
875.2.n.b.799.4 | 56 | 25.13 | odd | 20 | |||
875.2.n.b.799.11 | 56 | 25.12 | odd | 20 | |||
4375.2.a.g.1.10 | 14 | 25.21 | even | 5 | |||
4375.2.a.h.1.5 | 14 | 25.4 | even | 10 |