Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [170,2,Mod(9,170)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(170, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("170.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 170 = 2 \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 170.n (of order \(8\), 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: | \(1.35745683436\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{8})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 16 x^{15} + 52 x^{14} + 992 x^{13} + 6181 x^{12} + 8952 x^{11} + 6244 x^{10} - 11448 x^{9} - 14520 x^{8} + 27936 x^{7} + 27880 x^{6} - 121104 x^{5} + 187460 x^{4} + \cdots + 2048 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 59.4 | ||
Root | \(-0.826884 + 1.99627i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 170.59 |
Dual form | 170.2.n.b.49.4 |
$q$-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 \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).
\(n\) | \(71\) | \(137\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | − | 0.707107i | −0.500000 | − | 0.500000i | ||||
\(3\) | 1.99627 | + | 0.826884i | 1.15255 | + | 0.477402i | 0.875388 | − | 0.483422i | \(-0.160606\pi\) |
0.277162 | + | 0.960823i | \(0.410606\pi\) | |||||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | 0.399242 | − | 2.20014i | 0.178546 | − | 0.983932i | ||||
\(6\) | −0.826884 | − | 1.99627i | −0.337574 | − | 0.814976i | ||||
\(7\) | −1.32795 | − | 3.20595i | −0.501917 | − | 1.21174i | −0.948438 | − | 0.316962i | \(-0.897337\pi\) |
0.446521 | − | 0.894773i | \(-0.352663\pi\) | |||||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 1.18005 | + | 1.18005i | 0.393351 | + | 0.393351i | ||||
\(10\) | −1.83804 | + | 1.27343i | −0.581239 | + | 0.402693i | ||||
\(11\) | 1.63382 | + | 3.94439i | 0.492615 | + | 1.18928i | 0.953385 | + | 0.301758i | \(0.0975734\pi\) |
−0.460770 | + | 0.887520i | \(0.652427\pi\) | |||||||
\(12\) | −0.826884 | + | 1.99627i | −0.238701 | + | 0.576275i | ||||
\(13\) | 5.21229 | 1.44563 | 0.722814 | − | 0.691042i | \(-0.242848\pi\) | ||||
0.722814 | + | 0.691042i | \(0.242848\pi\) | |||||||
\(14\) | −1.32795 | + | 3.20595i | −0.354909 | + | 0.856827i | ||||
\(15\) | 2.61625 | − | 4.06195i | 0.675514 | − | 1.04879i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −2.46922 | + | 3.30196i | −0.598874 | + | 0.800843i | ||||
\(18\) | − | 1.66885i | − | 0.393351i | ||||||
\(19\) | −0.305686 | + | 0.305686i | −0.0701292 | + | 0.0701292i | −0.741301 | − | 0.671172i | \(-0.765791\pi\) |
0.671172 | + | 0.741301i | \(0.265791\pi\) | |||||||
\(20\) | 2.20014 | + | 0.399242i | 0.491966 | + | 0.0892732i | ||||
\(21\) | − | 7.49802i | − | 1.63620i | ||||||
\(22\) | 1.63382 | − | 3.94439i | 0.348331 | − | 0.840946i | ||||
\(23\) | −6.86651 | + | 2.84420i | −1.43177 | + | 0.593057i | −0.957787 | − | 0.287479i | \(-0.907183\pi\) |
−0.473980 | + | 0.880536i | \(0.657183\pi\) | |||||||
\(24\) | 1.99627 | − | 0.826884i | 0.407488 | − | 0.168787i | ||||
\(25\) | −4.68121 | − | 1.75677i | −0.936242 | − | 0.351355i | ||||
\(26\) | −3.68564 | − | 3.68564i | −0.722814 | − | 0.722814i | ||||
\(27\) | −1.10071 | − | 2.65734i | −0.211831 | − | 0.511406i | ||||
\(28\) | 3.20595 | − | 1.32795i | 0.605868 | − | 0.250959i | ||||
\(29\) | 3.46752 | + | 1.43630i | 0.643903 | + | 0.266713i | 0.680647 | − | 0.732611i | \(-0.261699\pi\) |
−0.0367441 | + | 0.999325i | \(0.511699\pi\) | |||||||
\(30\) | −4.72221 | + | 1.02226i | −0.862153 | + | 0.186639i | ||||
\(31\) | −0.648377 | + | 1.56532i | −0.116452 | + | 0.281140i | −0.971349 | − | 0.237658i | \(-0.923620\pi\) |
0.854897 | + | 0.518798i | \(0.173620\pi\) | |||||||
\(32\) | 0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | ||||
\(33\) | 9.22506i | 1.60588i | ||||||||
\(34\) | 4.08084 | − | 0.588835i | 0.699859 | − | 0.100984i | ||||
\(35\) | −7.58371 | + | 1.64172i | −1.28188 | + | 0.277501i | ||||
\(36\) | −1.18005 | + | 1.18005i | −0.196676 | + | 0.196676i | ||||
\(37\) | 4.56523 | + | 1.89098i | 0.750519 | + | 0.310875i | 0.724953 | − | 0.688798i | \(-0.241861\pi\) |
0.0255657 | + | 0.999673i | \(0.491861\pi\) | |||||||
\(38\) | 0.432305 | 0.0701292 | ||||||||
\(39\) | 10.4052 | + | 4.30996i | 1.66616 | + | 0.690146i | ||||
\(40\) | −1.27343 | − | 1.83804i | −0.201346 | − | 0.290619i | ||||
\(41\) | −4.20525 | + | 1.74187i | −0.656750 | + | 0.272035i | −0.686070 | − | 0.727535i | \(-0.740666\pi\) |
0.0293201 | + | 0.999570i | \(0.490666\pi\) | |||||||
\(42\) | −5.30190 | + | 5.30190i | −0.818101 | + | 0.818101i | ||||
\(43\) | −2.38395 | + | 2.38395i | −0.363549 | + | 0.363549i | −0.865118 | − | 0.501569i | \(-0.832756\pi\) |
0.501569 | + | 0.865118i | \(0.332756\pi\) | |||||||
\(44\) | −3.94439 | + | 1.63382i | −0.594639 | + | 0.246307i | ||||
\(45\) | 3.06741 | − | 2.12515i | 0.457262 | − | 0.316799i | ||||
\(46\) | 6.86651 | + | 2.84420i | 1.01241 | + | 0.419355i | ||||
\(47\) | −3.47098 | −0.506294 | −0.253147 | − | 0.967428i | \(-0.581466\pi\) | ||||
−0.253147 | + | 0.967428i | \(0.581466\pi\) | |||||||
\(48\) | −1.99627 | − | 0.826884i | −0.288137 | − | 0.119350i | ||||
\(49\) | −3.56493 | + | 3.56493i | −0.509276 | + | 0.509276i | ||||
\(50\) | 2.06789 | + | 4.55234i | 0.292444 | + | 0.643799i | ||||
\(51\) | −7.65958 | + | 4.54986i | −1.07256 | + | 0.637108i | ||||
\(52\) | 5.21229i | 0.722814i | ||||||||
\(53\) | −9.73490 | − | 9.73490i | −1.33719 | − | 1.33719i | −0.898769 | − | 0.438422i | \(-0.855537\pi\) |
−0.438422 | − | 0.898769i | \(-0.644463\pi\) | |||||||
\(54\) | −1.10071 | + | 2.65734i | −0.149787 | + | 0.361619i | ||||
\(55\) | 9.33048 | − | 2.01986i | 1.25812 | − | 0.272358i | ||||
\(56\) | −3.20595 | − | 1.32795i | −0.428413 | − | 0.177455i | ||||
\(57\) | −0.863000 | + | 0.357466i | −0.114307 | + | 0.0473476i | ||||
\(58\) | −1.43630 | − | 3.46752i | −0.188595 | − | 0.455308i | ||||
\(59\) | 6.37226 | + | 6.37226i | 0.829598 | + | 0.829598i | 0.987461 | − | 0.157863i | \(-0.0504605\pi\) |
−0.157863 | + | 0.987461i | \(0.550461\pi\) | |||||||
\(60\) | 4.06195 | + | 2.61625i | 0.524396 | + | 0.337757i | ||||
\(61\) | 5.75032 | − | 2.38186i | 0.736253 | − | 0.304966i | 0.0171342 | − | 0.999853i | \(-0.494546\pi\) |
0.719119 | + | 0.694887i | \(0.244546\pi\) | |||||||
\(62\) | 1.56532 | − | 0.648377i | 0.198796 | − | 0.0823439i | ||||
\(63\) | 2.21615 | − | 5.35025i | 0.279208 | − | 0.674068i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 2.08096 | − | 11.4678i | 0.258112 | − | 1.42240i | ||||
\(66\) | 6.52310 | − | 6.52310i | 0.802938 | − | 0.802938i | ||||
\(67\) | 0.409276i | 0.0500010i | 0.999687 | + | 0.0250005i | \(0.00795873\pi\) | ||||
−0.999687 | + | 0.0250005i | \(0.992041\pi\) | |||||||
\(68\) | −3.30196 | − | 2.46922i | −0.400422 | − | 0.299437i | ||||
\(69\) | −16.0593 | −1.93331 | ||||||||
\(70\) | 6.52336 | + | 4.20162i | 0.779691 | + | 0.502190i | ||||
\(71\) | −3.84587 | + | 9.28474i | −0.456420 | + | 1.10190i | 0.513416 | + | 0.858140i | \(0.328380\pi\) |
−0.969836 | + | 0.243757i | \(0.921620\pi\) | |||||||
\(72\) | 1.66885 | 0.196676 | ||||||||
\(73\) | −0.401916 | + | 0.970312i | −0.0470407 | + | 0.113566i | −0.945653 | − | 0.325177i | \(-0.894576\pi\) |
0.898613 | + | 0.438743i | \(0.144576\pi\) | |||||||
\(74\) | −1.89098 | − | 4.56523i | −0.219822 | − | 0.530697i | ||||
\(75\) | −7.89234 | − | 7.37782i | −0.911328 | − | 0.851917i | ||||
\(76\) | −0.305686 | − | 0.305686i | −0.0350646 | − | 0.0350646i | ||||
\(77\) | 10.4759 | − | 10.4759i | 1.19384 | − | 1.19384i | ||||
\(78\) | −4.30996 | − | 10.4052i | −0.488007 | − | 1.17815i | ||||
\(79\) | 0.218700 | + | 0.527989i | 0.0246057 | + | 0.0594034i | 0.935705 | − | 0.352784i | \(-0.114765\pi\) |
−0.911099 | + | 0.412187i | \(0.864765\pi\) | |||||||
\(80\) | −0.399242 | + | 2.20014i | −0.0446366 | + | 0.245983i | ||||
\(81\) | − | 11.2215i | − | 1.24683i | ||||||
\(82\) | 4.20525 | + | 1.74187i | 0.464393 | + | 0.192358i | ||||
\(83\) | 10.6949 | + | 10.6949i | 1.17391 | + | 1.17391i | 0.981269 | + | 0.192644i | \(0.0617062\pi\) |
0.192644 | + | 0.981269i | \(0.438294\pi\) | |||||||
\(84\) | 7.49802 | 0.818101 | ||||||||
\(85\) | 6.27895 | + | 6.75091i | 0.681048 | + | 0.732239i | ||||
\(86\) | 3.37141 | 0.363549 | ||||||||
\(87\) | 5.73448 | + | 5.73448i | 0.614801 | + | 0.614801i | ||||
\(88\) | 3.94439 | + | 1.63382i | 0.420473 | + | 0.174166i | ||||
\(89\) | − | 14.5683i | − | 1.54424i | −0.635478 | − | 0.772119i | \(-0.719197\pi\) | ||
0.635478 | − | 0.772119i | \(-0.280803\pi\) | |||||||
\(90\) | −3.67170 | − | 0.666274i | −0.387031 | − | 0.0702315i | ||||
\(91\) | −6.92165 | − | 16.7103i | −0.725586 | − | 1.75172i | ||||
\(92\) | −2.84420 | − | 6.86651i | −0.296529 | − | 0.715883i | ||||
\(93\) | −2.58868 | + | 2.58868i | −0.268433 | + | 0.268433i | ||||
\(94\) | 2.45435 | + | 2.45435i | 0.253147 | + | 0.253147i | ||||
\(95\) | 0.550509 | + | 0.794594i | 0.0564810 | + | 0.0815236i | ||||
\(96\) | 0.826884 | + | 1.99627i | 0.0843935 | + | 0.203744i | ||||
\(97\) | 3.70749 | − | 8.95068i | 0.376439 | − | 0.908804i | −0.616188 | − | 0.787599i | \(-0.711324\pi\) |
0.992627 | − | 0.121205i | \(-0.0386760\pi\) | |||||||
\(98\) | 5.04157 | 0.509276 | ||||||||
\(99\) | −2.72660 | + | 6.58259i | −0.274033 | + | 0.661575i | ||||
\(100\) | 1.75677 | − | 4.68121i | 0.175677 | − | 0.468121i | ||||
\(101\) | 11.0547 | 1.09999 | 0.549993 | − | 0.835170i | \(-0.314631\pi\) | ||||
0.549993 | + | 0.835170i | \(0.314631\pi\) | |||||||
\(102\) | 8.63338 | + | 2.19891i | 0.854832 | + | 0.217724i | ||||
\(103\) | − | 6.34442i | − | 0.625135i | −0.949896 | − | 0.312567i | \(-0.898811\pi\) | ||
0.949896 | − | 0.312567i | \(-0.101189\pi\) | |||||||
\(104\) | 3.68564 | − | 3.68564i | 0.361407 | − | 0.361407i | ||||
\(105\) | −16.4967 | − | 2.99352i | −1.60991 | − | 0.292138i | ||||
\(106\) | 13.7672i | 1.33719i | ||||||||
\(107\) | −0.619790 | + | 1.49630i | −0.0599173 | + | 0.144653i | −0.951003 | − | 0.309182i | \(-0.899945\pi\) |
0.891085 | + | 0.453836i | \(0.149945\pi\) | |||||||
\(108\) | 2.65734 | − | 1.10071i | 0.255703 | − | 0.105916i | ||||
\(109\) | −7.65614 | + | 3.17128i | −0.733325 | + | 0.303753i | −0.717918 | − | 0.696128i | \(-0.754905\pi\) |
−0.0154075 | + | 0.999881i | \(0.504905\pi\) | |||||||
\(110\) | −8.02591 | − | 5.16939i | −0.765240 | − | 0.492882i | ||||
\(111\) | 7.54983 | + | 7.54983i | 0.716598 | + | 0.716598i | ||||
\(112\) | 1.32795 | + | 3.20595i | 0.125479 | + | 0.302934i | ||||
\(113\) | −6.24358 | + | 2.58618i | −0.587347 | + | 0.243287i | −0.656509 | − | 0.754318i | \(-0.727967\pi\) |
0.0691619 | + | 0.997605i | \(0.477967\pi\) | |||||||
\(114\) | 0.863000 | + | 0.357466i | 0.0808274 | + | 0.0334798i | ||||
\(115\) | 3.51624 | + | 16.2428i | 0.327891 | + | 1.51465i | ||||
\(116\) | −1.43630 | + | 3.46752i | −0.133357 | + | 0.321952i | ||||
\(117\) | 6.15078 | + | 6.15078i | 0.568640 | + | 0.568640i | ||||
\(118\) | − | 9.01174i | − | 0.829598i | ||||||
\(119\) | 13.8649 | + | 3.53137i | 1.27100 | + | 0.323720i | ||||
\(120\) | −1.02226 | − | 4.72221i | −0.0933194 | − | 0.431076i | ||||
\(121\) | −5.11065 | + | 5.11065i | −0.464605 | + | 0.464605i | ||||
\(122\) | −5.75032 | − | 2.38186i | −0.520609 | − | 0.215643i | ||||
\(123\) | −9.83517 | −0.886807 | ||||||||
\(124\) | −1.56532 | − | 0.648377i | −0.140570 | − | 0.0582260i | ||||
\(125\) | −5.73408 | + | 9.59793i | −0.512872 | + | 0.858465i | ||||
\(126\) | −5.35025 | + | 2.21615i | −0.476638 | + | 0.197430i | ||||
\(127\) | −1.28241 | + | 1.28241i | −0.113796 | + | 0.113796i | −0.761712 | − | 0.647916i | \(-0.775641\pi\) |
0.647916 | + | 0.761712i | \(0.275641\pi\) | |||||||
\(128\) | −0.707107 | + | 0.707107i | −0.0625000 | + | 0.0625000i | ||||
\(129\) | −6.73026 | + | 2.78777i | −0.592567 | + | 0.245449i | ||||
\(130\) | −9.58039 | + | 6.63746i | −0.840256 | + | 0.582144i | ||||
\(131\) | −3.98341 | − | 1.64998i | −0.348032 | − | 0.144160i | 0.201818 | − | 0.979423i | \(-0.435315\pi\) |
−0.549850 | + | 0.835263i | \(0.685315\pi\) | |||||||
\(132\) | −9.22506 | −0.802938 | ||||||||
\(133\) | 1.38595 | + | 0.574079i | 0.120177 | + | 0.0497790i | ||||
\(134\) | 0.289402 | − | 0.289402i | 0.0250005 | − | 0.0250005i | ||||
\(135\) | −6.28597 | + | 1.36079i | −0.541010 | + | 0.117118i | ||||
\(136\) | 0.588835 | + | 4.08084i | 0.0504922 | + | 0.349929i | ||||
\(137\) | − | 4.41897i | − | 0.377538i | −0.982022 | − | 0.188769i | \(-0.939550\pi\) | ||
0.982022 | − | 0.188769i | \(-0.0604497\pi\) | |||||||
\(138\) | 11.3556 | + | 11.3556i | 0.966654 | + | 0.966654i | ||||
\(139\) | 2.07037 | − | 4.99833i | 0.175607 | − | 0.423952i | −0.811429 | − | 0.584451i | \(-0.801310\pi\) |
0.987036 | + | 0.160498i | \(0.0513101\pi\) | |||||||
\(140\) | −1.64172 | − | 7.58371i | −0.138751 | − | 0.640940i | ||||
\(141\) | −6.92902 | − | 2.87009i | −0.583529 | − | 0.241706i | ||||
\(142\) | 9.28474 | − | 3.84587i | 0.779158 | − | 0.322738i | ||||
\(143\) | 8.51593 | + | 20.5593i | 0.712138 | + | 1.71925i | ||||
\(144\) | −1.18005 | − | 1.18005i | −0.0983379 | − | 0.0983379i | ||||
\(145\) | 4.54443 | − | 7.05560i | 0.377394 | − | 0.585936i | ||||
\(146\) | 0.970312 | − | 0.401916i | 0.0803036 | − | 0.0332628i | ||||
\(147\) | −10.0644 | + | 4.16879i | −0.830094 | + | 0.343836i | ||||
\(148\) | −1.89098 | + | 4.56523i | −0.155438 | + | 0.375260i | ||||
\(149\) | − | 10.4546i | − | 0.856472i | −0.903667 | − | 0.428236i | \(-0.859135\pi\) | ||
0.903667 | − | 0.428236i | \(-0.140865\pi\) | |||||||
\(150\) | 0.363817 | + | 10.7976i | 0.0297055 | + | 0.881623i | ||||
\(151\) | 12.2681 | − | 12.2681i | 0.998364 | − | 0.998364i | −0.00163493 | − | 0.999999i | \(-0.500520\pi\) |
0.999999 | + | 0.00163493i | \(0.000520415\pi\) | |||||||
\(152\) | 0.432305i | 0.0350646i | ||||||||
\(153\) | −6.81031 | + | 0.982677i | −0.550581 | + | 0.0794447i | ||||
\(154\) | −14.8151 | −1.19384 | ||||||||
\(155\) | 3.18506 | + | 2.05146i | 0.255830 | + | 0.164777i | ||||
\(156\) | −4.30996 | + | 10.4052i | −0.345073 | + | 0.833079i | ||||
\(157\) | 2.90181 | 0.231589 | 0.115795 | − | 0.993273i | \(-0.463059\pi\) | ||||
0.115795 | + | 0.993273i | \(0.463059\pi\) | |||||||
\(158\) | 0.218700 | − | 0.527989i | 0.0173989 | − | 0.0420046i | ||||
\(159\) | −11.3839 | − | 27.4832i | −0.902802 | − | 2.17956i | ||||
\(160\) | 1.83804 | − | 1.27343i | 0.145310 | − | 0.100673i | ||||
\(161\) | 18.2367 | + | 18.2367i | 1.43726 | + | 1.43726i | ||||
\(162\) | −7.93479 | + | 7.93479i | −0.623416 | + | 0.623416i | ||||
\(163\) | 1.43563 | + | 3.46591i | 0.112447 | + | 0.271471i | 0.970078 | − | 0.242795i | \(-0.0780643\pi\) |
−0.857631 | + | 0.514266i | \(0.828064\pi\) | |||||||
\(164\) | −1.74187 | − | 4.20525i | −0.136017 | − | 0.328375i | ||||
\(165\) | 20.2964 | + | 3.68303i | 1.58007 | + | 0.286723i | ||||
\(166\) | − | 15.1248i | − | 1.17391i | ||||||
\(167\) | −21.8009 | − | 9.03022i | −1.68700 | − | 0.698779i | −0.687381 | − | 0.726297i | \(-0.741240\pi\) |
−0.999621 | + | 0.0275182i | \(0.991240\pi\) | |||||||
\(168\) | −5.30190 | − | 5.30190i | −0.409050 | − | 0.409050i | ||||
\(169\) | 14.1680 | 1.08984 | ||||||||
\(170\) | 0.333724 | − | 9.21350i | 0.0255955 | − | 0.706643i | ||||
\(171\) | −0.721452 | −0.0551708 | ||||||||
\(172\) | −2.38395 | − | 2.38395i | −0.181774 | − | 0.181774i | ||||
\(173\) | 13.9467 | + | 5.77690i | 1.06035 | + | 0.439209i | 0.843574 | − | 0.537013i | \(-0.180447\pi\) |
0.216771 | + | 0.976222i | \(0.430447\pi\) | |||||||
\(174\) | − | 8.10978i | − | 0.614801i | ||||||
\(175\) | 0.584277 | + | 17.3406i | 0.0441672 | + | 1.31083i | ||||
\(176\) | −1.63382 | − | 3.94439i | −0.123154 | − | 0.297319i | ||||
\(177\) | 7.45166 | + | 17.9899i | 0.560101 | + | 1.35220i | ||||
\(178\) | −10.3013 | + | 10.3013i | −0.772119 | + | 0.772119i | ||||
\(179\) | −8.99629 | − | 8.99629i | −0.672415 | − | 0.672415i | 0.285858 | − | 0.958272i | \(-0.407722\pi\) |
−0.958272 | + | 0.285858i | \(0.907722\pi\) | |||||||
\(180\) | 2.12515 | + | 3.06741i | 0.158400 | + | 0.228631i | ||||
\(181\) | −5.92939 | − | 14.3148i | −0.440728 | − | 1.06401i | −0.975694 | − | 0.219138i | \(-0.929676\pi\) |
0.534966 | − | 0.844873i | \(-0.320324\pi\) | |||||||
\(182\) | −6.92165 | + | 16.7103i | −0.513067 | + | 1.23865i | ||||
\(183\) | 13.4487 | 0.994159 | ||||||||
\(184\) | −2.84420 | + | 6.86651i | −0.209677 | + | 0.506206i | ||||
\(185\) | 5.98305 | − | 9.28917i | 0.439882 | − | 0.682954i | ||||
\(186\) | 3.66094 | 0.268433 | ||||||||
\(187\) | −17.0585 | − | 4.34476i | −1.24744 | − | 0.317721i | ||||
\(188\) | − | 3.47098i | − | 0.253147i | ||||||
\(189\) | −7.05763 | + | 7.05763i | −0.513367 | + | 0.513367i | ||||
\(190\) | 0.172594 | − | 0.951131i | 0.0125213 | − | 0.0690023i | ||||
\(191\) | 8.44496i | 0.611056i | 0.952183 | + | 0.305528i | \(0.0988329\pi\) | ||||
−0.952183 | + | 0.305528i | \(0.901167\pi\) | |||||||
\(192\) | 0.826884 | − | 1.99627i | 0.0596752 | − | 0.144069i | ||||
\(193\) | 19.7167 | − | 8.16694i | 1.41924 | − | 0.587870i | 0.464572 | − | 0.885535i | \(-0.346208\pi\) |
0.954670 | + | 0.297666i | \(0.0962080\pi\) | |||||||
\(194\) | −8.95068 | + | 3.70749i | −0.642622 | + | 0.266183i | ||||
\(195\) | 13.6367 | − | 21.1721i | 0.976543 | − | 1.51616i | ||||
\(196\) | −3.56493 | − | 3.56493i | −0.254638 | − | 0.254638i | ||||
\(197\) | −0.345500 | − | 0.834111i | −0.0246159 | − | 0.0594280i | 0.911094 | − | 0.412199i | \(-0.135239\pi\) |
−0.935710 | + | 0.352771i | \(0.885239\pi\) | |||||||
\(198\) | 6.58259 | − | 2.72660i | 0.467804 | − | 0.193771i | ||||
\(199\) | −0.329021 | − | 0.136285i | −0.0233237 | − | 0.00966099i | 0.370991 | − | 0.928636i | \(-0.379018\pi\) |
−0.394315 | + | 0.918975i | \(0.629018\pi\) | |||||||
\(200\) | −4.55234 | + | 2.06789i | −0.321899 | + | 0.146222i | ||||
\(201\) | −0.338423 | + | 0.817026i | −0.0238705 | + | 0.0576286i | ||||
\(202\) | −7.81686 | − | 7.81686i | −0.549993 | − | 0.549993i | ||||
\(203\) | − | 13.0240i | − | 0.914109i | ||||||
\(204\) | −4.54986 | − | 7.65958i | −0.318554 | − | 0.536278i | ||||
\(205\) | 2.15345 | + | 9.94757i | 0.150403 | + | 0.694768i | ||||
\(206\) | −4.48618 | + | 4.48618i | −0.312567 | + | 0.312567i | ||||
\(207\) | −11.4592 | − | 4.74654i | −0.796467 | − | 0.329908i | ||||
\(208\) | −5.21229 | −0.361407 | ||||||||
\(209\) | −1.70518 | − | 0.706309i | −0.117950 | − | 0.0488564i | ||||
\(210\) | 9.54817 | + | 13.7816i | 0.658886 | + | 0.951024i | ||||
\(211\) | −10.4640 | + | 4.33435i | −0.720374 | + | 0.298389i | −0.712590 | − | 0.701581i | \(-0.752478\pi\) |
−0.00778455 | + | 0.999970i | \(0.502478\pi\) | |||||||
\(212\) | 9.73490 | − | 9.73490i | 0.668596 | − | 0.668596i | ||||
\(213\) | −15.3548 | + | 15.3548i | −1.05209 | + | 1.05209i | ||||
\(214\) | 1.49630 | − | 0.619790i | 0.102285 | − | 0.0423680i | ||||
\(215\) | 4.29324 | + | 6.19679i | 0.292797 | + | 0.422617i | ||||
\(216\) | −2.65734 | − | 1.10071i | −0.180809 | − | 0.0748937i | ||||
\(217\) | 5.87935 | 0.399116 | ||||||||
\(218\) | 7.65614 | + | 3.17128i | 0.518539 | + | 0.214786i | ||||
\(219\) | −1.60467 | + | 1.60467i | −0.108434 | + | 0.108434i | ||||
\(220\) | 2.01986 | + | 9.33048i | 0.136179 | + | 0.629061i | ||||
\(221\) | −12.8703 | + | 17.2108i | −0.865750 | + | 1.15772i | ||||
\(222\) | − | 10.6771i | − | 0.716598i | ||||||
\(223\) | −12.2971 | − | 12.2971i | −0.823478 | − | 0.823478i | 0.163127 | − | 0.986605i | \(-0.447842\pi\) |
−0.986605 | + | 0.163127i | \(0.947842\pi\) | |||||||
\(224\) | 1.32795 | − | 3.20595i | 0.0887273 | − | 0.214207i | ||||
\(225\) | −3.45100 | − | 7.59717i | −0.230066 | − | 0.506478i | ||||
\(226\) | 6.24358 | + | 2.58618i | 0.415317 | + | 0.172030i | ||||
\(227\) | 11.0487 | − | 4.57652i | 0.733328 | − | 0.303755i | 0.0154095 | − | 0.999881i | \(-0.495095\pi\) |
0.717919 | + | 0.696127i | \(0.245095\pi\) | |||||||
\(228\) | −0.357466 | − | 0.863000i | −0.0236738 | − | 0.0571536i | ||||
\(229\) | −8.31862 | − | 8.31862i | −0.549710 | − | 0.549710i | 0.376647 | − | 0.926357i | \(-0.377077\pi\) |
−0.926357 | + | 0.376647i | \(0.877077\pi\) | |||||||
\(230\) | 8.99904 | − | 13.9717i | 0.593379 | − | 0.921270i | ||||
\(231\) | 29.5751 | − | 12.2504i | 1.94590 | − | 0.806017i | ||||
\(232\) | 3.46752 | − | 1.43630i | 0.227654 | − | 0.0942974i | ||||
\(233\) | −8.94925 | + | 21.6054i | −0.586285 | + | 1.41542i | 0.300744 | + | 0.953705i | \(0.402765\pi\) |
−0.887030 | + | 0.461713i | \(0.847235\pi\) | |||||||
\(234\) | − | 8.69852i | − | 0.568640i | ||||||
\(235\) | −1.38576 | + | 7.63663i | −0.0903969 | + | 0.498159i | ||||
\(236\) | −6.37226 | + | 6.37226i | −0.414799 | + | 0.414799i | ||||
\(237\) | 1.23485i | 0.0802122i | ||||||||
\(238\) | −7.30692 | − | 12.3010i | −0.473638 | − | 0.797358i | ||||
\(239\) | 13.2057 | 0.854206 | 0.427103 | − | 0.904203i | \(-0.359534\pi\) | ||||
0.427103 | + | 0.904203i | \(0.359534\pi\) | |||||||
\(240\) | −2.61625 | + | 4.06195i | −0.168879 | + | 0.262198i | ||||
\(241\) | −8.66402 | + | 20.9168i | −0.558098 | + | 1.34737i | 0.353171 | + | 0.935559i | \(0.385103\pi\) |
−0.911270 | + | 0.411810i | \(0.864897\pi\) | |||||||
\(242\) | 7.22756 | 0.464605 | ||||||||
\(243\) | 5.97675 | − | 14.4291i | 0.383409 | − | 0.925630i | ||||
\(244\) | 2.38186 | + | 5.75032i | 0.152483 | + | 0.368126i | ||||
\(245\) | 6.42007 | + | 9.26660i | 0.410163 | + | 0.592022i | ||||
\(246\) | 6.95451 | + | 6.95451i | 0.443404 | + | 0.443404i | ||||
\(247\) | −1.59332 | + | 1.59332i | −0.101381 | + | 0.101381i | ||||
\(248\) | 0.648377 | + | 1.56532i | 0.0411720 | + | 0.0993979i | ||||
\(249\) | 12.5065 | + | 30.1933i | 0.792565 | + | 1.91342i | ||||
\(250\) | 10.8414 | − | 2.73216i | 0.685668 | − | 0.172797i | ||||
\(251\) | 3.13046i | 0.197593i | 0.995108 | + | 0.0987965i | \(0.0314993\pi\) | ||||
−0.995108 | + | 0.0987965i | \(0.968501\pi\) | |||||||
\(252\) | 5.35025 | + | 2.21615i | 0.337034 | + | 0.139604i | ||||
\(253\) | −22.4373 | − | 22.4373i | −1.41062 | − | 1.41062i | ||||
\(254\) | 1.81360 | 0.113796 | ||||||||
\(255\) | 6.95229 | + | 18.6686i | 0.435369 | + | 1.16908i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 5.80608 | + | 5.80608i | 0.362173 | + | 0.362173i | 0.864613 | − | 0.502439i | \(-0.167564\pi\) |
−0.502439 | + | 0.864613i | \(0.667564\pi\) | |||||||
\(258\) | 6.73026 | + | 2.78777i | 0.419008 | + | 0.173559i | ||||
\(259\) | − | 17.1470i | − | 1.06546i | ||||||
\(260\) | 11.4678 | + | 2.08096i | 0.711200 | + | 0.129056i | ||||
\(261\) | 2.39696 | + | 5.78677i | 0.148368 | + | 0.358192i | ||||
\(262\) | 1.64998 | + | 3.98341i | 0.101936 | + | 0.246096i | ||||
\(263\) | 17.8286 | − | 17.8286i | 1.09936 | − | 1.09936i | 0.104871 | − | 0.994486i | \(-0.466557\pi\) |
0.994486 | − | 0.104871i | \(-0.0334431\pi\) | |||||||
\(264\) | 6.52310 | + | 6.52310i | 0.401469 | + | 0.401469i | ||||
\(265\) | −25.3047 | + | 17.5315i | −1.55446 | + | 1.07695i | ||||
\(266\) | −0.574079 | − | 1.38595i | −0.0351991 | − | 0.0849780i | ||||
\(267\) | 12.0463 | − | 29.0823i | 0.737222 | − | 1.77981i | ||||
\(268\) | −0.409276 | −0.0250005 | ||||||||
\(269\) | 5.72583 | − | 13.8234i | 0.349110 | − | 0.842827i | −0.647615 | − | 0.761968i | \(-0.724234\pi\) |
0.996726 | − | 0.0808593i | \(-0.0257664\pi\) | |||||||
\(270\) | 5.40707 | + | 3.48263i | 0.329064 | + | 0.211946i | ||||
\(271\) | −1.77027 | −0.107536 | −0.0537681 | − | 0.998553i | \(-0.517123\pi\) | ||||
−0.0537681 | + | 0.998553i | \(0.517123\pi\) | |||||||
\(272\) | 2.46922 | − | 3.30196i | 0.149719 | − | 0.200211i | ||||
\(273\) | − | 39.0818i | − | 2.36534i | ||||||
\(274\) | −3.12468 | + | 3.12468i | −0.188769 | + | 0.188769i | ||||
\(275\) | −0.718856 | − | 21.3348i | −0.0433486 | − | 1.28653i | ||||
\(276\) | − | 16.0593i | − | 0.966654i | ||||||
\(277\) | −6.08957 | + | 14.7015i | −0.365887 | + | 0.883329i | 0.628528 | + | 0.777787i | \(0.283658\pi\) |
−0.994415 | + | 0.105542i | \(0.966342\pi\) | |||||||
\(278\) | −4.99833 | + | 2.07037i | −0.299780 | + | 0.124173i | ||||
\(279\) | −2.61228 | + | 1.08204i | −0.156393 | + | 0.0647802i | ||||
\(280\) | −4.20162 | + | 6.52336i | −0.251095 | + | 0.389845i | ||||
\(281\) | −1.76322 | − | 1.76322i | −0.105185 | − | 0.105185i | 0.652556 | − | 0.757741i | \(-0.273697\pi\) |
−0.757741 | + | 0.652556i | \(0.773697\pi\) | |||||||
\(282\) | 2.87009 | + | 6.92902i | 0.170912 | + | 0.412617i | ||||
\(283\) | −16.6129 | + | 6.88128i | −0.987534 | + | 0.409050i | −0.817211 | − | 0.576339i | \(-0.804481\pi\) |
−0.170323 | + | 0.985388i | \(0.554481\pi\) | |||||||
\(284\) | −9.28474 | − | 3.84587i | −0.550948 | − | 0.228210i | ||||
\(285\) | 0.441930 | + | 2.04143i | 0.0261776 | + | 0.120924i | ||||
\(286\) | 8.51593 | − | 20.5593i | 0.503558 | − | 1.21570i | ||||
\(287\) | 11.1687 | + | 11.1687i | 0.659269 | + | 0.659269i | ||||
\(288\) | 1.66885i | 0.0983379i | ||||||||
\(289\) | −4.80589 | − | 16.3065i | −0.282699 | − | 0.959209i | ||||
\(290\) | −8.20246 | + | 1.77567i | −0.481665 | + | 0.104271i | ||||
\(291\) | 14.8024 | − | 14.8024i | 0.867729 | − | 0.867729i | ||||
\(292\) | −0.970312 | − | 0.401916i | −0.0567832 | − | 0.0235204i | ||||
\(293\) | −6.71505 | −0.392297 | −0.196149 | − | 0.980574i | \(-0.562843\pi\) | ||||
−0.196149 | + | 0.980574i | \(0.562843\pi\) | |||||||
\(294\) | 10.0644 | + | 4.16879i | 0.586965 | + | 0.243129i | ||||
\(295\) | 16.5639 | − | 11.4758i | 0.964389 | − | 0.668146i | ||||
\(296\) | 4.56523 | − | 1.89098i | 0.265349 | − | 0.109911i | ||||
\(297\) | 8.68323 | − | 8.68323i | 0.503852 | − | 0.503852i | ||||
\(298\) | −7.39250 | + | 7.39250i | −0.428236 | + | 0.428236i | ||||
\(299\) | −35.7902 | + | 14.8248i | −2.06980 | + | 0.857341i | ||||
\(300\) | 7.37782 | − | 7.89234i | 0.425959 | − | 0.455664i | ||||
\(301\) | 10.8086 | + | 4.47706i | 0.622996 | + | 0.258054i | ||||
\(302\) | −17.3497 | −0.998364 | ||||||||
\(303\) | 22.0682 | + | 9.14097i | 1.26779 | + | 0.525135i | ||||
\(304\) | 0.305686 | − | 0.305686i | 0.0175323 | − | 0.0175323i | ||||
\(305\) | −2.94465 | − | 13.6024i | −0.168610 | − | 0.778873i | ||||
\(306\) | 5.51047 | + | 4.12076i | 0.315013 | + | 0.235568i | ||||
\(307\) | 33.9861i | 1.93969i | 0.243726 | + | 0.969844i | \(0.421630\pi\) | ||||
−0.243726 | + | 0.969844i | \(0.578370\pi\) | |||||||
\(308\) | 10.4759 | + | 10.4759i | 0.596919 | + | 0.596919i | ||||
\(309\) | 5.24610 | − | 12.6652i | 0.298440 | − | 0.720499i | ||||
\(310\) | −0.801577 | − | 3.70278i | −0.0455265 | − | 0.210304i | ||||
\(311\) | −24.0661 | − | 9.96849i | −1.36466 | − | 0.565261i | −0.424325 | − | 0.905510i | \(-0.639489\pi\) |
−0.940335 | + | 0.340249i | \(0.889489\pi\) | |||||||
\(312\) | 10.4052 | − | 4.30996i | 0.589076 | − | 0.244003i | ||||
\(313\) | −0.809278 | − | 1.95377i | −0.0457431 | − | 0.110434i | 0.899356 | − | 0.437216i | \(-0.144036\pi\) |
−0.945100 | + | 0.326783i | \(0.894036\pi\) | |||||||
\(314\) | −2.05189 | − | 2.05189i | −0.115795 | − | 0.115795i | ||||
\(315\) | −10.8865 | − | 7.01187i | −0.613385 | − | 0.395074i | ||||
\(316\) | −0.527989 | + | 0.218700i | −0.0297017 | + | 0.0123029i | ||||
\(317\) | 7.50100 | − | 3.10702i | 0.421298 | − | 0.174507i | −0.161954 | − | 0.986798i | \(-0.551780\pi\) |
0.583253 | + | 0.812291i | \(0.301780\pi\) | |||||||
\(318\) | −11.3839 | + | 27.4832i | −0.638377 | + | 1.54118i | ||||
\(319\) | 16.0239i | 0.897167i | ||||||||
\(320\) | −2.20014 | − | 0.399242i | −0.122991 | − | 0.0223183i | ||||
\(321\) | −2.47454 | + | 2.47454i | −0.138115 | + | 0.138115i | ||||
\(322\) | − | 25.7907i | − | 1.43726i | ||||||
\(323\) | −0.254557 | − | 1.76417i | −0.0141639 | − | 0.0981610i | ||||
\(324\) | 11.2215 | 0.623416 | ||||||||
\(325\) | −24.3998 | − | 9.15681i | −1.35346 | − | 0.507929i | ||||
\(326\) | 1.43563 | − | 3.46591i | 0.0795120 | − | 0.191959i | ||||
\(327\) | −17.9060 | −0.990206 | ||||||||
\(328\) | −1.74187 | + | 4.20525i | −0.0961789 | + | 0.232196i | ||||
\(329\) | 4.60928 | + | 11.1278i | 0.254118 | + | 0.613494i | ||||
\(330\) | −11.7474 | − | 16.9560i | −0.646675 | − | 0.933398i | ||||
\(331\) | 0.185865 | + | 0.185865i | 0.0102161 | + | 0.0102161i | 0.712196 | − | 0.701980i | \(-0.247701\pi\) |
−0.701980 | + | 0.712196i | \(0.747701\pi\) | |||||||
\(332\) | −10.6949 | + | 10.6949i | −0.586956 | + | 0.586956i | ||||
\(333\) | 3.15576 | + | 7.61868i | 0.172935 | + | 0.417501i | ||||
\(334\) | 9.03022 | + | 21.8009i | 0.494111 | + | 1.19289i | ||||
\(335\) | 0.900463 | + | 0.163400i | 0.0491975 | + | 0.00892749i | ||||
\(336\) | 7.49802i | 0.409050i | ||||||||
\(337\) | −19.4419 | − | 8.05310i | −1.05907 | − | 0.438680i | −0.215947 | − | 0.976405i | \(-0.569284\pi\) |
−0.843120 | + | 0.537725i | \(0.819284\pi\) | |||||||
\(338\) | −10.0183 | − | 10.0183i | −0.544921 | − | 0.544921i | ||||
\(339\) | −14.6024 | −0.793092 | ||||||||
\(340\) | −6.75091 | + | 6.27895i | −0.366119 | + | 0.340524i | ||||
\(341\) | −7.23356 | −0.391719 | ||||||||
\(342\) | 0.510144 | + | 0.510144i | 0.0275854 | + | 0.0275854i | ||||
\(343\) | −6.27863 | − | 2.60069i | −0.339014 | − | 0.140424i | ||||
\(344\) | 3.37141i | 0.181774i | ||||||||
\(345\) | −6.41153 | + | 35.3326i | −0.345185 | + | 1.90224i | ||||
\(346\) | −5.77690 | − | 13.9467i | −0.310568 | − | 0.749777i | ||||
\(347\) | −13.4154 | − | 32.3876i | −0.720176 | − | 1.73866i | −0.672850 | − | 0.739779i | \(-0.734930\pi\) |
−0.0473262 | − | 0.998879i | \(-0.515070\pi\) | |||||||
\(348\) | −5.73448 | + | 5.73448i | −0.307400 | + | 0.307400i | ||||
\(349\) | 24.8197 | + | 24.8197i | 1.32857 | + | 1.32857i | 0.906619 | + | 0.421950i | \(0.138654\pi\) |
0.421950 | + | 0.906619i | \(0.361346\pi\) | |||||||
\(350\) | 11.8485 | − | 12.6748i | 0.633331 | − | 0.677498i | ||||
\(351\) | −5.73721 | − | 13.8508i | −0.306229 | − | 0.739303i | ||||
\(352\) | −1.63382 | + | 3.94439i | −0.0870828 | + | 0.210237i | ||||
\(353\) | 16.7906 | 0.893676 | 0.446838 | − | 0.894615i | \(-0.352550\pi\) | ||||
0.446838 | + | 0.894615i | \(0.352550\pi\) | |||||||
\(354\) | 7.45166 | − | 17.9899i | 0.396051 | − | 0.956152i | ||||
\(355\) | 18.8923 | + | 12.1683i | 1.00270 | + | 0.645826i | ||||
\(356\) | 14.5683 | 0.772119 | ||||||||
\(357\) | 24.7582 | + | 18.5143i | 1.31034 | + | 0.979879i | ||||
\(358\) | 12.7227i | 0.672415i | ||||||||
\(359\) | 17.1981 | − | 17.1981i | 0.907681 | − | 0.907681i | −0.0884041 | − | 0.996085i | \(-0.528177\pi\) |
0.996085 | + | 0.0884041i | \(0.0281767\pi\) | |||||||
\(360\) | 0.666274 | − | 3.67170i | 0.0351157 | − | 0.193515i | ||||
\(361\) | 18.8131i | 0.990164i | ||||||||
\(362\) | −5.92939 | + | 14.3148i | −0.311642 | + | 0.752369i | ||||
\(363\) | −14.4282 | + | 5.97635i | −0.757283 | + | 0.313677i | ||||
\(364\) | 16.7103 | − | 6.92165i | 0.875860 | − | 0.362793i | ||||
\(365\) | 1.97436 | + | 1.27166i | 0.103343 | + | 0.0665617i | ||||
\(366\) | −9.50969 | − | 9.50969i | −0.497080 | − | 0.497080i | ||||
\(367\) | 7.31730 | + | 17.6655i | 0.381960 | + | 0.922133i | 0.991587 | + | 0.129444i | \(0.0413193\pi\) |
−0.609627 | + | 0.792689i | \(0.708681\pi\) | |||||||
\(368\) | 6.86651 | − | 2.84420i | 0.357942 | − | 0.148264i | ||||
\(369\) | −7.01793 | − | 2.90692i | −0.365339 | − | 0.151328i | ||||
\(370\) | −10.7991 | + | 2.33779i | −0.561418 | + | 0.121536i | ||||
\(371\) | −18.2822 | + | 44.1371i | −0.949163 | + | 2.29148i | ||||
\(372\) | −2.58868 | − | 2.58868i | −0.134217 | − | 0.134217i | ||||
\(373\) | 6.43835i | 0.333365i | 0.986011 | + | 0.166683i | \(0.0533055\pi\) | ||||
−0.986011 | + | 0.166683i | \(0.946694\pi\) | |||||||
\(374\) | 8.98995 | + | 15.1344i | 0.464859 | + | 0.782580i | ||||
\(375\) | −19.3832 | + | 14.4187i | −1.00094 | + | 0.744578i | ||||
\(376\) | −2.45435 | + | 2.45435i | −0.126573 | + | 0.126573i | ||||
\(377\) | 18.0737 | + | 7.48639i | 0.930845 | + | 0.385569i | ||||
\(378\) | 9.98100 | 0.513367 | ||||||||
\(379\) | −15.4328 | − | 6.39249i | −0.792732 | − | 0.328360i | −0.0506903 | − | 0.998714i | \(-0.516142\pi\) |
−0.742041 | + | 0.670354i | \(0.766142\pi\) | |||||||
\(380\) | −0.794594 | + | 0.550509i | −0.0407618 | + | 0.0282405i | ||||
\(381\) | −3.62045 | + | 1.49964i | −0.185481 | + | 0.0768289i | ||||
\(382\) | 5.97149 | − | 5.97149i | 0.305528 | − | 0.305528i | ||||
\(383\) | 0.704366 | − | 0.704366i | 0.0359914 | − | 0.0359914i | −0.688882 | − | 0.724873i | \(-0.741898\pi\) |
0.724873 | + | 0.688882i | \(0.241898\pi\) | |||||||
\(384\) | −1.99627 | + | 0.826884i | −0.101872 | + | 0.0421967i | ||||
\(385\) | −18.8660 | − | 27.2308i | −0.961499 | − | 1.38781i | ||||
\(386\) | −19.7167 | − | 8.16694i | −1.00356 | − | 0.415687i | ||||
\(387\) | −5.62638 | −0.286005 | ||||||||
\(388\) | 8.95068 | + | 3.70749i | 0.454402 | + | 0.188220i | ||||
\(389\) | −7.00072 | + | 7.00072i | −0.354950 | + | 0.354950i | −0.861948 | − | 0.506997i | \(-0.830755\pi\) |
0.506997 | + | 0.861948i | \(0.330755\pi\) | |||||||
\(390\) | −24.6135 | + | 5.32833i | −1.24635 | + | 0.269810i | ||||
\(391\) | 7.56350 | − | 29.6959i | 0.382503 | − | 1.50179i | ||||
\(392\) | 5.04157i | 0.254638i | ||||||||
\(393\) | −6.58764 | − | 6.58764i | −0.332302 | − | 0.332302i | ||||
\(394\) | −0.345500 | + | 0.834111i | −0.0174060 | + | 0.0420219i | ||||
\(395\) | 1.24896 | − | 0.270375i | 0.0628422 | − | 0.0136041i | ||||
\(396\) | −6.58259 | − | 2.72660i | −0.330787 | − | 0.137017i | ||||
\(397\) | −34.3102 | + | 14.2118i | −1.72198 | + | 0.713268i | −0.722214 | + | 0.691670i | \(0.756875\pi\) |
−0.999767 | + | 0.0215980i | \(0.993125\pi\) | |||||||
\(398\) | 0.136285 | + | 0.329021i | 0.00683135 | + | 0.0164923i | ||||
\(399\) | 2.29204 | + | 2.29204i | 0.114745 | + | 0.114745i | ||||
\(400\) | 4.68121 | + | 1.75677i | 0.234061 | + | 0.0878387i | ||||
\(401\) | 11.9320 | − | 4.94241i | 0.595858 | − | 0.246812i | −0.0643108 | − | 0.997930i | \(-0.520485\pi\) |
0.660168 | + | 0.751118i | \(0.270485\pi\) | |||||||
\(402\) | 0.817026 | − | 0.338423i | 0.0407496 | − | 0.0168790i | ||||
\(403\) | −3.37953 | + | 8.15890i | −0.168346 | + | 0.406424i | ||||
\(404\) | 11.0547i | 0.549993i | ||||||||
\(405\) | −24.6888 | − | 4.48009i | −1.22680 | − | 0.222617i | ||||
\(406\) | −9.20939 | + | 9.20939i | −0.457054 | + | 0.457054i | ||||
\(407\) | 21.0966i | 1.04572i | ||||||||
\(408\) | −2.19891 | + | 8.63338i | −0.108862 | + | 0.427416i | ||||
\(409\) | 10.7462 | 0.531366 | 0.265683 | − | 0.964060i | \(-0.414403\pi\) | ||||
0.265683 | + | 0.964060i | \(0.414403\pi\) | |||||||
\(410\) | 5.51127 | − | 8.55671i | 0.272182 | − | 0.422586i | ||||
\(411\) | 3.65397 | − | 8.82147i | 0.180237 | − | 0.435131i | ||||
\(412\) | 6.34442 | 0.312567 | ||||||||
\(413\) | 11.9671 | − | 28.8912i | 0.588864 | − | 1.42164i | ||||
\(414\) | 4.74654 | + | 11.4592i | 0.233280 | + | 0.563188i | ||||
\(415\) | 27.8000 | − | 19.2603i | 1.36465 | − | 0.945452i | ||||
\(416\) | 3.68564 | + | 3.68564i | 0.180704 | + | 0.180704i | ||||
\(417\) | 8.26607 | − | 8.26607i | 0.404791 | − | 0.404791i | ||||
\(418\) | 0.706309 | + | 1.70518i | 0.0345467 | + | 0.0834031i | ||||
\(419\) | 0.821783 | + | 1.98396i | 0.0401467 | + | 0.0969228i | 0.942681 | − | 0.333695i | \(-0.108296\pi\) |
−0.902534 | + | 0.430618i | \(0.858296\pi\) | |||||||
\(420\) | 2.99352 | − | 16.4967i | 0.146069 | − | 0.804955i | ||||
\(421\) | − | 27.9741i | − | 1.36337i | −0.731644 | − | 0.681687i | \(-0.761246\pi\) | ||
0.731644 | − | 0.681687i | \(-0.238754\pi\) | |||||||
\(422\) | 10.4640 | + | 4.33435i | 0.509382 | + | 0.210993i | ||||
\(423\) | −4.09594 | − | 4.09594i | −0.199151 | − | 0.199151i | ||||
\(424\) | −13.7672 | −0.668596 | ||||||||
\(425\) | 17.3597 | − | 11.1193i | 0.842072 | − | 0.539366i | ||||
\(426\) | 21.7150 | 1.05209 | ||||||||
\(427\) | −15.2723 | − | 15.2723i | −0.739076 | − | 0.739076i | ||||
\(428\) | −1.49630 | − | 0.619790i | −0.0723266 | − | 0.0299587i | ||||
\(429\) | 48.0837i | 2.32150i | ||||||||
\(430\) | 1.34601 | − | 7.41757i | 0.0649103 | − | 0.357707i | ||||
\(431\) | 6.62107 | + | 15.9847i | 0.318926 | + | 0.769955i | 0.999312 | + | 0.0371008i | \(0.0118123\pi\) |
−0.680386 | + | 0.732854i | \(0.738188\pi\) | |||||||
\(432\) | 1.10071 | + | 2.65734i | 0.0529578 | + | 0.127851i | ||||
\(433\) | −3.89798 | + | 3.89798i | −0.187325 | + | 0.187325i | −0.794539 | − | 0.607214i | \(-0.792287\pi\) |
0.607214 | + | 0.794539i | \(0.292287\pi\) | |||||||
\(434\) | −4.15733 | − | 4.15733i | −0.199558 | − | 0.199558i | ||||
\(435\) | 14.9061 | − | 10.3272i | 0.714692 | − | 0.495152i | ||||
\(436\) | −3.17128 | − | 7.65614i | −0.151877 | − | 0.366663i | ||||
\(437\) | 1.22956 | − | 2.96843i | 0.0588180 | − | 0.141999i | ||||
\(438\) | 2.26935 | 0.108434 | ||||||||
\(439\) | 2.10538 | − | 5.08283i | 0.100484 | − | 0.242590i | −0.865640 | − | 0.500666i | \(-0.833088\pi\) |
0.966125 | + | 0.258076i | \(0.0830884\pi\) | |||||||
\(440\) | 5.16939 | − | 8.02591i | 0.246441 | − | 0.382620i | ||||
\(441\) | −8.41362 | −0.400649 | ||||||||
\(442\) | 21.2705 | − | 3.06918i | 1.01174 | − | 0.145986i | ||||
\(443\) | 15.0462i | 0.714865i | 0.933939 | + | 0.357433i | \(0.116348\pi\) | ||||
−0.933939 | + | 0.357433i | \(0.883652\pi\) | |||||||
\(444\) | −7.54983 | + | 7.54983i | −0.358299 | + | 0.358299i | ||||
\(445\) | −32.0523 | − | 5.81628i | −1.51942 | − | 0.275718i | ||||
\(446\) | 17.3908i | 0.823478i | ||||||||
\(447\) | 8.64472 | − | 20.8702i | 0.408881 | − | 0.987127i | ||||
\(448\) | −3.20595 | + | 1.32795i | −0.151467 | + | 0.0627397i | ||||
\(449\) | 10.3001 | − | 4.26643i | 0.486091 | − | 0.201345i | −0.126159 | − | 0.992010i | \(-0.540265\pi\) |
0.612249 | + | 0.790665i | \(0.290265\pi\) | |||||||
\(450\) | −2.93179 | + | 7.81223i | −0.138206 | + | 0.368272i | ||||
\(451\) | −13.7412 | − | 13.7412i | −0.647050 | − | 0.647050i | ||||
\(452\) | −2.58618 | − | 6.24358i | −0.121644 | − | 0.293673i | ||||
\(453\) | 34.6348 | − | 14.3462i | 1.62728 | − | 0.674043i | ||||
\(454\) | −11.0487 | − | 4.57652i | −0.518542 | − | 0.214787i | ||||
\(455\) | −39.5285 | + | 8.55712i | −1.85312 | + | 0.401164i | ||||
\(456\) | −0.357466 | + | 0.863000i | −0.0167399 | + | 0.0404137i | ||||
\(457\) | 15.4608 | + | 15.4608i | 0.723225 | + | 0.723225i | 0.969261 | − | 0.246036i | \(-0.0791280\pi\) |
−0.246036 | + | 0.969261i | \(0.579128\pi\) | |||||||
\(458\) | 11.7643i | 0.549710i | ||||||||
\(459\) | 11.4923 | + | 2.92708i | 0.536416 | + | 0.136624i | ||||
\(460\) | −16.2428 | + | 3.51624i | −0.757324 | + | 0.163945i | ||||
\(461\) | 6.63452 | − | 6.63452i | 0.309000 | − | 0.309000i | −0.535521 | − | 0.844522i | \(-0.679885\pi\) |
0.844522 | + | 0.535521i | \(0.179885\pi\) | |||||||
\(462\) | −29.5751 | − | 12.2504i | −1.37596 | − | 0.569940i | ||||
\(463\) | 19.1390 | 0.889464 | 0.444732 | − | 0.895664i | \(-0.353299\pi\) | ||||
0.444732 | + | 0.895664i | \(0.353299\pi\) | |||||||
\(464\) | −3.46752 | − | 1.43630i | −0.160976 | − | 0.0666784i | ||||
\(465\) | 4.66194 | + | 6.72895i | 0.216192 | + | 0.312048i | ||||
\(466\) | 21.6054 | − | 8.94925i | 1.00085 | − | 0.414566i | ||||
\(467\) | −14.0361 | + | 14.0361i | −0.649512 | + | 0.649512i | −0.952875 | − | 0.303363i | \(-0.901891\pi\) |
0.303363 | + | 0.952875i | \(0.401891\pi\) | |||||||
\(468\) | −6.15078 | + | 6.15078i | −0.284320 | + | 0.284320i | ||||
\(469\) | 1.31212 | − | 0.543497i | 0.0605880 | − | 0.0250964i | ||||
\(470\) | 6.37979 | − | 4.42003i | 0.294278 | − | 0.203881i | ||||
\(471\) | 5.79280 | + | 2.39946i | 0.266918 | + | 0.110561i | ||||
\(472\) | 9.01174 | 0.414799 | ||||||||
\(473\) | −13.2982 | − | 5.50828i | −0.611450 | − | 0.253271i | ||||
\(474\) | 0.873172 | − | 0.873172i | 0.0401061 | − | 0.0401061i | ||||
\(475\) | 1.96800 | − | 0.893960i | 0.0902981 | − | 0.0410177i | ||||
\(476\) | −3.53137 | + | 13.8649i | −0.161860 | + | 0.635498i | ||||
\(477\) | − | 22.9754i | − | 1.05197i | ||||||
\(478\) | −9.33784 | − | 9.33784i | −0.427103 | − | 0.427103i | ||||
\(479\) | −3.80402 | + | 9.18371i | −0.173810 | + | 0.419614i | −0.986646 | − | 0.162878i | \(-0.947922\pi\) |
0.812836 | + | 0.582492i | \(0.197922\pi\) | |||||||
\(480\) | 4.72221 | − | 1.02226i | 0.215538 | − | 0.0466597i | ||||
\(481\) | 23.7953 | + | 9.85633i | 1.08497 | + | 0.449410i | ||||
\(482\) | 20.9168 | − | 8.66402i | 0.952733 | − | 0.394635i | ||||
\(483\) | 21.3259 | + | 51.4852i | 0.970361 | + | 2.34266i | ||||
\(484\) | −5.11065 | − | 5.11065i | −0.232302 | − | 0.232302i | ||||
\(485\) | −18.2125 | − | 11.7305i | −0.826989 | − | 0.532654i | ||||
\(486\) | −14.4291 | + | 5.97675i | −0.654519 | + | 0.271111i | ||||
\(487\) | 8.06967 | − | 3.34257i | 0.365672 | − | 0.151466i | −0.192279 | − | 0.981340i | \(-0.561588\pi\) |
0.557951 | + | 0.829874i | \(0.311588\pi\) | |||||||
\(488\) | 2.38186 | − | 5.75032i | 0.107822 | − | 0.260305i | ||||
\(489\) | 8.10601i | 0.366566i | ||||||||
\(490\) | 2.01281 | − | 11.0921i | 0.0909293 | − | 0.501092i | ||||
\(491\) | −1.63435 | + | 1.63435i | −0.0737571 | + | 0.0737571i | −0.743023 | − | 0.669266i | \(-0.766609\pi\) |
0.669266 | + | 0.743023i | \(0.266609\pi\) | |||||||
\(492\) | − | 9.83517i | − | 0.443404i | ||||||
\(493\) | −13.3047 | + | 7.90310i | −0.599213 | + | 0.355938i | ||||
\(494\) | 2.25330 | 0.101381 | ||||||||
\(495\) | 13.3940 | + | 8.62693i | 0.602017 | + | 0.387752i | ||||
\(496\) | 0.648377 | − | 1.56532i | 0.0291130 | − | 0.0702849i | ||||
\(497\) | 34.8736 | 1.56429 | ||||||||
\(498\) | 12.5065 | − | 30.1933i | 0.560428 | − | 1.35299i | ||||
\(499\) | 11.1408 | + | 26.8962i | 0.498730 | + | 1.20404i | 0.950168 | + | 0.311738i | \(0.100911\pi\) |
−0.451438 | + | 0.892303i | \(0.649089\pi\) | |||||||
\(500\) | −9.59793 | − | 5.73408i | −0.429233 | − | 0.256436i | ||||
\(501\) | −36.0536 | − | 36.0536i | −1.61076 | − | 1.61076i | ||||
\(502\) | 2.21357 | − | 2.21357i | 0.0987965 | − | 0.0987965i | ||||
\(503\) | −11.5670 | − | 27.9252i | −0.515747 | − | 1.24512i | −0.940494 | − | 0.339811i | \(-0.889637\pi\) |
0.424747 | − | 0.905312i | \(-0.360363\pi\) | |||||||
\(504\) | −2.21615 | − | 5.35025i | −0.0987150 | − | 0.238319i | ||||
\(505\) | 4.41350 | − | 24.3219i | 0.196398 | − | 1.08231i | ||||
\(506\) | 31.7311i | 1.41062i | ||||||||
\(507\) | 28.2831 | + | 11.7153i | 1.25610 | + | 0.520293i | ||||
\(508\) | −1.28241 | − | 1.28241i | −0.0568978 | − | 0.0568978i | ||||
\(509\) | 37.2373 | 1.65052 | 0.825258 | − | 0.564756i | \(-0.191030\pi\) | ||||
0.825258 | + | 0.564756i | \(0.191030\pi\) | |||||||
\(510\) | 8.28470 | − | 18.1167i | 0.366853 | − | 0.802222i | ||||
\(511\) | 3.64450 | 0.161223 | ||||||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 1.14878 | + | 0.475842i | 0.0507200 | + | 0.0210089i | ||||
\(514\) | − | 8.21104i | − | 0.362173i | ||||||
\(515\) | −13.9586 | − | 2.53296i | −0.615090 | − | 0.111615i | ||||
\(516\) | −2.78777 | − | 6.73026i | −0.122725 | − | 0.296283i | ||||
\(517\) | −5.67095 | − | 13.6909i | −0.249408 | − | 0.602124i | ||||
\(518\) | −12.1248 | + | 12.1248i | −0.532732 | + | 0.532732i | ||||
\(519\) | 23.0645 | + | 23.0645i | 1.01242 | + | 1.01242i | ||||
\(520\) | −6.63746 | − | 9.58039i | −0.291072 | − | 0.420128i | ||||
\(521\) | 3.27311 | + | 7.90198i | 0.143398 | + | 0.346192i | 0.979218 | − | 0.202811i | \(-0.0650076\pi\) |
−0.835820 | + | 0.549003i | \(0.815008\pi\) | |||||||
\(522\) | 2.39696 | − | 5.78677i | 0.104912 | − | 0.253280i | ||||
\(523\) | 39.2933 | 1.71818 | 0.859088 | − | 0.511828i | \(-0.171031\pi\) | ||||
0.859088 | + | 0.511828i | \(0.171031\pi\) | |||||||
\(524\) | 1.64998 | − | 3.98341i | 0.0720798 | − | 0.174016i | ||||
\(525\) | −13.1723 | + | 35.0998i | −0.574887 | + | 1.53188i | ||||
\(526\) | −25.2134 | −1.09936 | ||||||||
\(527\) | −3.56764 | − | 6.00604i | −0.155409 | − | 0.261627i | ||||
\(528\) | − | 9.22506i | − | 0.401469i | ||||||
\(529\) | 22.7960 | − | 22.7960i | 0.991133 | − | 0.991133i | ||||
\(530\) | 30.2898 | + | 5.49645i | 1.31570 | + | 0.238751i | ||||
\(531\) | 15.0392i | 0.652647i | ||||||||
\(532\) | −0.574079 | + | 1.38595i | −0.0248895 | + | 0.0600886i | ||||
\(533\) | −21.9190 | + | 9.07915i | −0.949417 | + | 0.393261i | ||||
\(534\) | −29.0823 | + | 12.0463i | −1.25852 | + | 0.521294i | ||||
\(535\) | 3.04463 | + | 1.96101i | 0.131631 | + | 0.0847819i | ||||
\(536\) | 0.289402 | + | 0.289402i | 0.0125002 | + | 0.0125002i | ||||
\(537\) | −10.5202 | − | 25.3980i | −0.453979 | − | 1.09600i | ||||
\(538\) | −13.8234 | + | 5.72583i | −0.595969 | + | 0.246858i | ||||
\(539\) | −19.8859 | − | 8.23701i | −0.856547 | − | 0.354793i | ||||
\(540\) | −1.36079 | − | 6.28597i | −0.0585589 | − | 0.270505i | ||||
\(541\) | 11.7894 | − | 28.4621i | 0.506866 | − | 1.22368i | −0.438813 | − | 0.898579i | \(-0.644601\pi\) |
0.945678 | − | 0.325104i | \(-0.105399\pi\) | |||||||
\(542\) | 1.25177 | + | 1.25177i | 0.0537681 | + | 0.0537681i | ||||
\(543\) | − | 33.4792i | − | 1.43673i | ||||||
\(544\) | −4.08084 | + | 0.588835i | −0.174965 | + | 0.0252461i | ||||
\(545\) | 3.92059 | + | 18.1107i | 0.167940 | + | 0.775776i | ||||
\(546\) | −27.6350 | + | 27.6350i | −1.18267 | + | 1.18267i | ||||
\(547\) | −5.07321 | − | 2.10139i | −0.216915 | − | 0.0898491i | 0.271580 | − | 0.962416i | \(-0.412454\pi\) |
−0.488495 | + | 0.872567i | \(0.662454\pi\) | |||||||
\(548\) | 4.41897 | 0.188769 | ||||||||
\(549\) | 9.59641 | + | 3.97496i | 0.409565 | + | 0.169647i | ||||
\(550\) | −14.5776 | + | 15.5943i | −0.621593 | + | 0.664942i | ||||
\(551\) | −1.49903 | + | 0.620918i | −0.0638608 | + | 0.0264520i | ||||
\(552\) | −11.3556 | + | 11.3556i | −0.483327 | + | 0.483327i | ||||
\(553\) | 1.40228 | − | 1.40228i | 0.0596312 | − | 0.0596312i | ||||
\(554\) | 14.7015 | − | 6.08957i | 0.624608 | − | 0.258721i | ||||
\(555\) | 19.6249 | − | 13.5965i | 0.833029 | − | 0.577137i | ||||
\(556\) | 4.99833 | + | 2.07037i | 0.211976 | + | 0.0878034i | ||||
\(557\) | 9.65747 | 0.409200 | 0.204600 | − | 0.978846i | \(-0.434411\pi\) | ||||
0.204600 | + | 0.978846i | \(0.434411\pi\) | |||||||
\(558\) | 2.61228 | + | 1.08204i | 0.110587 | + | 0.0458065i | ||||
\(559\) | −12.4258 | + | 12.4258i | −0.525556 | + | 0.525556i | ||||
\(560\) | 7.58371 | − | 1.64172i | 0.320470 | − | 0.0693753i | ||||
\(561\) | −30.4608 | − | 22.7787i | −1.28606 | − | 0.961718i | ||||
\(562\) | 2.49357i | 0.105185i | ||||||||
\(563\) | −13.5365 | − | 13.5365i | −0.570496 | − | 0.570496i | 0.361771 | − | 0.932267i | \(-0.382172\pi\) |
−0.932267 | + | 0.361771i | \(0.882172\pi\) | |||||||
\(564\) | 2.87009 | − | 6.92902i | 0.120853 | − | 0.291764i | ||||
\(565\) | 3.19725 | + | 14.7693i | 0.134509 | + | 0.621347i | ||||
\(566\) | 16.6129 | + | 6.88128i | 0.698292 | + | 0.289242i | ||||
\(567\) | −35.9756 | + | 14.9016i | −1.51083 | + | 0.625807i | ||||
\(568\) | 3.84587 | + | 9.28474i | 0.161369 | + | 0.389579i | ||||
\(569\) | −16.9921 | − | 16.9921i | −0.712348 | − | 0.712348i | 0.254678 | − | 0.967026i | \(-0.418030\pi\) |
−0.967026 | + | 0.254678i | \(0.918030\pi\) | |||||||
\(570\) | 1.13102 | − | 1.75600i | 0.0473733 | − | 0.0735509i | ||||
\(571\) | 12.8892 | − | 5.33889i | 0.539397 | − | 0.223426i | −0.0963163 | − | 0.995351i | \(-0.530706\pi\) |
0.635713 | + | 0.771925i | \(0.280706\pi\) | |||||||
\(572\) | −20.5593 | + | 8.51593i | −0.859627 | + | 0.356069i | ||||
\(573\) | −6.98300 | + | 16.8585i | −0.291719 | + | 0.704272i | ||||
\(574\) | − | 15.7950i | − | 0.659269i | ||||||
\(575\) | 37.1402 | − | 1.25141i | 1.54885 | − | 0.0521873i | ||||
\(576\) | 1.18005 | − | 1.18005i | 0.0491689 | − | 0.0491689i | ||||
\(577\) | 14.4087i | 0.599842i | 0.953964 | + | 0.299921i | \(0.0969603\pi\) | ||||
−0.953964 | + | 0.299921i | \(0.903040\pi\) | |||||||
\(578\) | −8.13219 | + | 14.9287i | −0.338255 | + | 0.620954i | ||||
\(579\) | 46.1132 | 1.91640 | ||||||||
\(580\) | 7.05560 | + | 4.54443i | 0.292968 | + | 0.188697i | ||||
\(581\) | 20.0850 | − | 48.4894i | 0.833265 | − | 2.01168i | ||||
\(582\) | −20.9337 | −0.867729 | ||||||||
\(583\) | 22.4932 | − | 54.3033i | 0.931571 | − | 2.24901i | ||||
\(584\) | 0.401916 | + | 0.970312i | 0.0166314 | + | 0.0401518i | ||||
\(585\) | 15.9882 | − | 11.0769i | 0.661032 | − | 0.457974i | ||||
\(586\) | 4.74825 | + | 4.74825i | 0.196149 | + | 0.196149i | ||||
\(587\) | 9.34651 | − | 9.34651i | 0.385772 | − | 0.385772i | −0.487405 | − | 0.873176i | \(-0.662056\pi\) |
0.873176 | + | 0.487405i | \(0.162056\pi\) | |||||||
\(588\) | −4.16879 | − | 10.0644i | −0.171918 | − | 0.415047i | ||||
\(589\) | −0.280297 | − | 0.676696i | −0.0115494 | − | 0.0278828i | ||||
\(590\) | −19.8271 | − | 3.59786i | −0.816267 | − | 0.148122i | ||||
\(591\) | − | 1.95080i | − | 0.0802453i | ||||||
\(592\) | −4.56523 | − | 1.89098i | −0.187630 | − | 0.0777188i | ||||
\(593\) | −23.3715 | − | 23.3715i | −0.959754 | − | 0.959754i | 0.0394671 | − | 0.999221i | \(-0.487434\pi\) |
−0.999221 | + | 0.0394671i | \(0.987434\pi\) | |||||||
\(594\) | −12.2799 | −0.503852 | ||||||||
\(595\) | 13.3050 | − | 29.0949i | 0.545450 | − | 1.19277i | ||||
\(596\) | 10.4546 | 0.428236 | ||||||||
\(597\) | −0.544125 | − | 0.544125i | −0.0222695 | − | 0.0222695i | ||||
\(598\) | 35.7902 | + | 14.8248i | 1.46357 | + | 0.606231i | ||||
\(599\) | 14.3939i | 0.588118i | 0.955787 | + | 0.294059i | \(0.0950062\pi\) | ||||
−0.955787 | + | 0.294059i | \(0.904994\pi\) | |||||||
\(600\) | −10.7976 | + | 0.363817i | −0.440811 | + | 0.0148527i | ||||
\(601\) | 14.6516 | + | 35.3721i | 0.597652 | + | 1.44286i | 0.875968 | + | 0.482370i | \(0.160224\pi\) |
−0.278316 | + | 0.960490i | \(0.589776\pi\) | |||||||
\(602\) | −4.47706 | − | 10.8086i | −0.182471 | − | 0.440525i | ||||
\(603\) | −0.482967 | + | 0.482967i | −0.0196680 | + | 0.0196680i | ||||
\(604\) | 12.2681 | + | 12.2681i | 0.499182 | + | 0.499182i | ||||
\(605\) | 9.20376 | + | 13.2845i | 0.374186 | + | 0.540093i | ||||
\(606\) | −9.14097 | − | 22.0682i | −0.371326 | − | 0.896461i | ||||
\(607\) | −6.37537 | + | 15.3915i | −0.258768 | + | 0.624722i | −0.998858 | − | 0.0477868i | \(-0.984783\pi\) |
0.740089 | + | 0.672509i | \(0.234783\pi\) | |||||||
\(608\) | −0.432305 | −0.0175323 | ||||||||
\(609\) | 10.7694 | − | 25.9996i | 0.436397 | − | 1.05356i | ||||
\(610\) | −7.53619 | + | 11.7006i | −0.305131 | + | 0.473742i | ||||
\(611\) | −18.0917 | −0.731913 | ||||||||
\(612\) | −0.982677 | − | 6.81031i | −0.0397224 | − | 0.275290i | ||||
\(613\) | 0.270516i | 0.0109261i | 0.999985 | + | 0.00546303i | \(0.00173894\pi\) | ||||
−0.999985 | + | 0.00546303i | \(0.998261\pi\) | |||||||
\(614\) | 24.0318 | − | 24.0318i | 0.969844 | − | 0.969844i | ||||
\(615\) | −3.92661 | + | 21.6387i | −0.158336 | + | 0.872558i | ||||
\(616\) | − | 14.8151i | − | 0.596919i | ||||||
\(617\) | −13.8689 | + | 33.4825i | −0.558340 | + | 1.34795i | 0.352739 | + | 0.935722i | \(0.385250\pi\) |
−0.911079 | + | 0.412231i | \(0.864750\pi\) | |||||||
\(618\) | −12.6652 | + | 5.24610i | −0.509469 | + | 0.211029i | ||||
\(619\) | −2.78040 | + | 1.15168i | −0.111754 | + | 0.0462899i | −0.437860 | − | 0.899043i | \(-0.644263\pi\) |
0.326106 | + | 0.945333i | \(0.394263\pi\) | |||||||
\(620\) | −2.05146 | + | 3.18506i | −0.0823886 | + | 0.127915i | ||||
\(621\) | 15.1160 | + | 15.1160i | 0.606586 | + | 0.606586i | ||||
\(622\) | 9.96849 | + | 24.0661i | 0.399700 | + | 0.964961i | ||||
\(623\) | −46.7053 | + | 19.3460i | −1.87121 | + | 0.775080i | ||||
\(624\) | −10.4052 | − | 4.30996i | −0.416540 | − | 0.172536i | ||||
\(625\) | 18.8275 | + | 16.4477i | 0.753100 | + | 0.657906i | ||||
\(626\) | −0.809278 | + | 1.95377i | −0.0323453 | + | 0.0780884i | ||||
\(627\) | −2.81997 | − | 2.81997i | −0.112619 | − | 0.112619i | ||||
\(628\) | 2.90181i | 0.115795i | ||||||||
\(629\) | −17.5165 | + | 10.4050i | −0.698429 | + | 0.414873i | ||||
\(630\) | 2.73978 | + | 12.6561i | 0.109156 | + | 0.504229i | ||||
\(631\) | −14.7927 | + | 14.7927i | −0.588890 | + | 0.588890i | −0.937331 | − | 0.348441i | \(-0.886711\pi\) |
0.348441 | + | 0.937331i | \(0.386711\pi\) | |||||||
\(632\) | 0.527989 | + | 0.218700i | 0.0210023 | + | 0.00869943i | ||||
\(633\) | −24.4731 | −0.972719 | ||||||||
\(634\) | −7.50100 | − | 3.10702i | −0.297903 | − | 0.123395i | ||||
\(635\) | 2.30949 | + | 3.33348i | 0.0916493 | + | 0.132285i | ||||
\(636\) | 27.4832 | − | 11.3839i | 1.08978 | − | 0.451401i | ||||
\(637\) | −18.5814 | + | 18.5814i | −0.736223 | + | 0.736223i | ||||
\(638\) | 11.3306 | − | 11.3306i | 0.448583 | − | 0.448583i | ||||
\(639\) | −15.4948 | + | 6.41817i | −0.612966 | + | 0.253899i | ||||
\(640\) | 1.27343 | + | 1.83804i | 0.0503366 | + | 0.0726549i | ||||
\(641\) | −22.3306 | − | 9.24965i | −0.882007 | − | 0.365339i | −0.104732 | − | 0.994500i | \(-0.533399\pi\) |
−0.777275 | + | 0.629161i | \(0.783399\pi\) | |||||||
\(642\) | 3.49953 | 0.138115 | ||||||||
\(643\) | −11.6947 | − | 4.84409i | −0.461193 | − | 0.191032i | 0.139975 | − | 0.990155i | \(-0.455298\pi\) |
−0.601168 | + | 0.799123i | \(0.705298\pi\) | |||||||
\(644\) | −18.2367 | + | 18.2367i | −0.718629 | + | 0.718629i | ||||
\(645\) | 3.44647 | + | 15.9205i | 0.135705 | + | 0.626869i | ||||
\(646\) | −1.06746 | + | 1.42746i | −0.0419986 | + | 0.0561625i | ||||
\(647\) | 11.1531i | 0.438472i | 0.975672 | + | 0.219236i | \(0.0703565\pi\) | ||||
−0.975672 | + | 0.219236i | \(0.929643\pi\) | |||||||
\(648\) | −7.93479 | − | 7.93479i | −0.311708 | − | 0.311708i | ||||
\(649\) | −14.7235 | + | 35.5458i | −0.577950 | + | 1.39529i | ||||
\(650\) | 10.7784 | + | 23.7281i | 0.422765 | + | 0.930694i | ||||
\(651\) | 11.7368 | + | 4.86154i | 0.460001 | + | 0.190539i | ||||
\(652\) | −3.46591 | + | 1.43563i | −0.135736 | + | 0.0562235i | ||||
\(653\) | 11.3392 | + | 27.3752i | 0.443736 | + | 1.07127i | 0.974627 | + | 0.223834i | \(0.0718572\pi\) |
−0.530891 | + | 0.847440i | \(0.678143\pi\) | |||||||
\(654\) | 12.6615 | + | 12.6615i | 0.495103 | + | 0.495103i | ||||
\(655\) | −5.22053 | + | 8.10531i | −0.203983 | + | 0.316701i | ||||
\(656\) | 4.20525 | − | 1.74187i | 0.164188 | − | 0.0680087i | ||||
\(657\) | −1.61930 | + | 0.670737i | −0.0631750 | + | 0.0261680i | ||||
\(658\) | 4.60928 | − | 11.1278i | 0.179688 | − | 0.433806i | ||||
\(659\) | − | 30.0437i | − | 1.17034i | −0.810912 | − | 0.585169i | \(-0.801028\pi\) | ||
0.810912 | − | 0.585169i | \(-0.198972\pi\) | |||||||
\(660\) | −3.68303 | + | 20.2964i | −0.143362 | + | 0.790036i | ||||
\(661\) | −20.9920 | + | 20.9920i | −0.816494 | + | 0.816494i | −0.985598 | − | 0.169104i | \(-0.945913\pi\) |
0.169104 | + | 0.985598i | \(0.445913\pi\) | |||||||
\(662\) | − | 0.262853i | − | 0.0102161i | ||||||
\(663\) | −39.9240 | + | 23.7152i | −1.55052 | + | 0.921021i | ||||
\(664\) | 15.1248 | 0.586956 | ||||||||
\(665\) | 1.81638 | − | 2.82008i | 0.0704363 | − | 0.109358i | ||||
\(666\) | 3.15576 | − | 7.61868i | 0.122283 | − | 0.295218i | ||||
\(667\) | −27.8949 | −1.08010 | ||||||||
\(668\) | 9.03022 | − | 21.8009i | 0.349390 | − | 0.843501i | ||||
\(669\) | −14.3802 | − | 34.7168i | −0.555969 | − | 1.34223i | ||||
\(670\) | −0.521182 | − | 0.752264i | −0.0201350 | − | 0.0290625i | ||||
\(671\) | 18.7900 | + | 18.7900i | 0.725378 | + | 0.725378i | ||||
\(672\) | 5.30190 | − | 5.30190i | 0.204525 | − | 0.204525i | ||||
\(673\) | 14.4888 | + | 34.9790i | 0.558502 | + | 1.34834i | 0.910952 | + | 0.412513i | \(0.135349\pi\) |
−0.352450 | + | 0.935831i | \(0.614651\pi\) | |||||||
\(674\) | 8.05310 | + | 19.4419i | 0.310194 | + | 0.748874i | ||||
\(675\) | 0.484295 | + | 14.3733i | 0.0186405 | + | 0.553228i | ||||
\(676\) | 14.1680i | 0.544921i | ||||||||
\(677\) | 0.664177 | + | 0.275111i | 0.0255264 | + | 0.0105734i | 0.395410 | − | 0.918505i | \(-0.370602\pi\) |
−0.369884 | + | 0.929078i | \(0.620602\pi\) | |||||||
\(678\) | 10.3254 | + | 10.3254i | 0.396546 | + | 0.396546i | ||||
\(679\) | −33.6188 | −1.29017 | ||||||||
\(680\) | 9.21350 | + | 0.333724i | 0.353322 | + | 0.0127977i | ||||
\(681\) | 25.8405 | 0.990210 | ||||||||
\(682\) | 5.11490 | + | 5.11490i | 0.195860 | + | 0.195860i | ||||
\(683\) | 34.0830 | + | 14.1176i | 1.30415 | + | 0.540197i | 0.923172 | − | 0.384387i | \(-0.125587\pi\) |
0.380979 | + | 0.924584i | \(0.375587\pi\) | |||||||
\(684\) | − | 0.721452i | − | 0.0275854i | ||||||
\(685\) | −9.72234 | − | 1.76424i | −0.371471 | − | 0.0674080i | ||||
\(686\) | 2.60069 | + | 6.27863i | 0.0992949 | + | 0.239719i | ||||
\(687\) | −9.72771 | − | 23.4848i | −0.371135 | − | 0.896000i | ||||
\(688\) | 2.38395 | − | 2.38395i | 0.0908872 | − | 0.0908872i | ||||
\(689\) | −50.7411 | − | 50.7411i | −1.93308 | − | 1.93308i | ||||
\(690\) | 29.5176 | − | 20.4503i | 1.12371 | − | 0.778529i | ||||
\(691\) | 14.8476 | + | 35.8452i | 0.564828 | + | 1.36362i | 0.905866 | + | 0.423565i | \(0.139222\pi\) |
−0.341038 | + | 0.940050i | \(0.610778\pi\) | |||||||
\(692\) | −5.77690 | + | 13.9467i | −0.219605 | + | 0.530173i | ||||
\(693\) | 24.7242 | 0.939196 | ||||||||
\(694\) | −13.4154 | + | 32.3876i | −0.509241 | + | 1.22942i | ||||
\(695\) | −10.1704 | − | 6.55065i | −0.385786 | − | 0.248480i | ||||
\(696\) | 8.10978 | 0.307400 | ||||||||
\(697\) | 4.63211 | − | 18.1867i | 0.175454 | − | 0.688869i | ||||
\(698\) | − | 35.1004i | − | 1.32857i | ||||||
\(699\) | −35.7303 | + | 35.7303i | −1.35145 | + | 1.35145i | ||||
\(700\) | −17.3406 | + | 0.584277i | −0.655415 | + | 0.0220836i | ||||
\(701\) | − | 20.7195i | − | 0.782566i | −0.920270 | − | 0.391283i | \(-0.872031\pi\) | ||
0.920270 | − | 0.391283i | \(-0.127969\pi\) | |||||||
\(702\) | −5.73721 | + | 13.8508i | −0.216537 | + | 0.522766i | ||||
\(703\) | −1.97357 | + | 0.817481i | −0.0744347 | + | 0.0308319i | ||||
\(704\) | 3.94439 | − | 1.63382i | 0.148660 | − | 0.0615769i | ||||
\(705\) | −9.08096 | + | 14.0989i | −0.342009 | + | 0.530997i | ||||
\(706\) | −11.8728 | − | 11.8728i | −0.446838 | − | 0.446838i | ||||
\(707\) | −14.6801 | − | 35.4409i | −0.552102 | − | 1.33289i | ||||
\(708\) | −17.9899 | + | 7.45166i | −0.676102 | + | 0.280051i | ||||
\(709\) | −11.7625 | − | 4.87221i | −0.441752 | − | 0.182980i | 0.150710 | − | 0.988578i | \(-0.451844\pi\) |
−0.592462 | + | 0.805598i | \(0.701844\pi\) | |||||||
\(710\) | −4.75458 | − | 21.9631i | −0.178436 | − | 0.824262i | ||||
\(711\) | −0.364978 | + | 0.881134i | −0.0136877 | + | 0.0330451i | ||||
\(712\) | −10.3013 | − | 10.3013i | −0.386059 | − | 0.386059i | ||||
\(713\) | − | 12.5924i | − | 0.471589i | ||||||
\(714\) | −4.41510 | − | 30.5982i | −0.165231 | − | 1.14511i | ||||
\(715\) | 48.6332 | − | 10.5281i | 1.81878 | − | 0.393729i | ||||
\(716\) | 8.99629 | − | 8.99629i | 0.336207 | − | 0.336207i | ||||
\(717\) | 26.3622 | + | 10.9196i | 0.984515 | + | 0.407799i | ||||
\(718\) | −24.3218 | −0.907681 | ||||||||
\(719\) | −20.3836 | − | 8.44316i | −0.760179 | − | 0.314877i | −0.0312920 | − | 0.999510i | \(-0.509962\pi\) |
−0.728887 | + | 0.684634i | \(0.759962\pi\) | |||||||
\(720\) | −3.06741 | + | 2.12515i | −0.114316 | + | 0.0791998i | ||||
\(721\) | −20.3399 | + | 8.42507i | −0.757498 | + | 0.313766i | ||||
\(722\) | 13.3029 | − | 13.3029i | 0.495082 | − | 0.495082i | ||||
\(723\) | −34.5915 | + | 34.5915i | −1.28647 | + | 1.28647i | ||||
\(724\) | 14.3148 | − | 5.92939i | 0.532006 | − | 0.220364i | ||||
\(725\) | −13.7090 | − | 12.8153i | −0.509138 | − | 0.475947i | ||||
\(726\) | 14.4282 | + | 5.97635i | 0.535480 | + | 0.221803i | ||||
\(727\) | −23.3953 | −0.867682 | −0.433841 | − | 0.900989i | \(-0.642842\pi\) | ||||
−0.433841 | + | 0.900989i | \(0.642842\pi\) | |||||||
\(728\) | −16.7103 | − | 6.92165i | −0.619327 | − | 0.256533i | ||||
\(729\) | 0.0580801 | − | 0.0580801i | 0.00215111 | − | 0.00215111i | ||||
\(730\) | −0.496882 | − | 2.29528i | −0.0183904 | − | 0.0849522i | ||||
\(731\) | −1.98521 | − | 13.7582i | −0.0734255 | − | 0.508865i | ||||
\(732\) | 13.4487i | 0.497080i | ||||||||
\(733\) | 21.9647 | + | 21.9647i | 0.811283 | + | 0.811283i | 0.984826 | − | 0.173543i | \(-0.0555217\pi\) |
−0.173543 | + | 0.984826i | \(0.555522\pi\) | |||||||
\(734\) | 7.31730 | − | 17.6655i | 0.270086 | − | 0.652046i | ||||
\(735\) | 5.15381 | + | 23.8073i | 0.190101 | + | 0.878147i | ||||
\(736\) | −6.86651 | − | 2.84420i | −0.253103 | − | 0.104839i | ||||
\(737\) | −1.61434 | + | 0.668682i | −0.0594650 | + | 0.0246312i | ||||
\(738\) | 2.90692 | + | 7.01793i | 0.107005 | + | 0.258334i | ||||
\(739\) | 5.46858 | + | 5.46858i | 0.201165 | + | 0.201165i | 0.800499 | − | 0.599334i | \(-0.204568\pi\) |
−0.599334 | + | 0.800499i | \(0.704568\pi\) | |||||||
\(740\) | 9.28917 | + | 5.98305i | 0.341477 | + | 0.219941i | ||||
\(741\) | −4.49821 | + | 1.86322i | −0.165246 | + | 0.0684470i | ||||
\(742\) | 44.1371 | − | 18.2822i | 1.62032 | − | 0.671160i | ||||
\(743\) | 12.6211 | − | 30.4700i | 0.463023 | − | 1.11784i | −0.504127 | − | 0.863629i | \(-0.668186\pi\) |
0.967150 | − | 0.254206i | \(-0.0818143\pi\) | |||||||
\(744\) | 3.66094i | 0.134217i | ||||||||
\(745\) | −23.0015 | − | 4.17390i | −0.842710 | − | 0.152920i | ||||
\(746\) | 4.55260 | − | 4.55260i | 0.166683 | − | 0.166683i | ||||
\(747\) | 25.2410i | 0.923520i | ||||||||
\(748\) | 4.34476 | − | 17.0585i | 0.158860 | − | 0.623720i | ||||
\(749\) | 5.62013 | 0.205355 | ||||||||
\(750\) | 23.9015 | + | 3.51042i | 0.872760 | + | 0.128182i | ||||
\(751\) | 13.6564 | − | 32.9695i | 0.498329 | − | 1.20307i | −0.452054 | − | 0.891991i | \(-0.649308\pi\) |
0.950383 | − | 0.311083i | \(-0.100692\pi\) | |||||||
\(752\) | 3.47098 | 0.126573 | ||||||||
\(753\) | −2.58853 | + | 6.24926i | −0.0943312 | + | 0.227736i | ||||
\(754\) | −7.48639 | − | 18.0737i | −0.272638 | − | 0.658207i | ||||
\(755\) | −22.0936 | − | 31.8894i | −0.804067 | − | 1.16058i | ||||
\(756\) | −7.05763 | − | 7.05763i | −0.256684 | − | 0.256684i | ||||
\(757\) | 36.8619 | − | 36.8619i | 1.33977 | − | 1.33977i | 0.443491 | − | 0.896279i | \(-0.353740\pi\) |
0.896279 | − | 0.443491i | \(-0.146260\pi\) | |||||||
\(758\) | 6.39249 | + | 15.4328i | 0.232186 | + | 0.560546i | ||||
\(759\) | −26.2379 | − | 63.3440i | −0.952377 | − | 2.29924i | ||||
\(760\) | 0.951131 | + | 0.172594i | 0.0345012 | + | 0.00626066i | ||||
\(761\) | 30.3827i | 1.10137i | 0.834713 | + | 0.550686i | \(0.185634\pi\) | ||||
−0.834713 | + | 0.550686i | \(0.814366\pi\) | |||||||
\(762\) | 3.62045 | + | 1.49964i | 0.131155 | + | 0.0543262i | ||||
\(763\) | 20.3339 | + | 20.3339i | 0.736137 | + | 0.736137i | ||||
\(764\) | −8.44496 | −0.305528 | ||||||||
\(765\) | −0.556935 | + | 15.3759i | −0.0201360 | + | 0.555918i | ||||
\(766\) | −0.996123 | −0.0359914 | ||||||||
\(767\) | 33.2141 | + | 33.2141i | 1.19929 | + | 1.19929i | ||||
\(768\) | 1.99627 | + | 0.826884i | 0.0720343 | + | 0.0298376i | ||||
\(769\) | − | 16.6957i | − | 0.602063i | −0.953614 | − | 0.301031i | \(-0.902669\pi\) | ||
0.953614 | − | 0.301031i | \(-0.0973309\pi\) | |||||||
\(770\) | −5.91482 | + | 32.5954i | −0.213155 | + | 1.17465i | ||||
\(771\) | 6.78958 | + | 16.3915i | 0.244521 | + | 0.590325i | ||||
\(772\) | 8.16694 | + | 19.7167i | 0.293935 | + | 0.709621i | ||||
\(773\) | −16.1621 | + | 16.1621i | −0.581312 | + | 0.581312i | −0.935264 | − | 0.353952i | \(-0.884838\pi\) |
0.353952 | + | 0.935264i | \(0.384838\pi\) | |||||||
\(774\) | 3.97845 | + | 3.97845i | 0.143002 | + | 0.143002i | ||||
\(775\) | 5.78510 | − | 6.18854i | 0.207807 | − | 0.222299i | ||||
\(776\) | −3.70749 | − | 8.95068i | −0.133091 | − | 0.321311i | ||||
\(777\) | 14.1786 | − | 34.2302i | 0.508654 | − | 1.22800i | ||||
\(778\) | 9.90051 | 0.354950 | ||||||||
\(779\) | 0.753021 | − | 1.81795i | 0.0269798 | − | 0.0651350i | ||||
\(780\) | 21.1721 | + | 13.6367i | 0.758082 | + | 0.488271i | ||||
\(781\) | −42.9061 | −1.53530 | ||||||||
\(782\) | −26.3464 | + | 15.6500i | −0.942145 | + | 0.559642i | ||||
\(783\) | − | 10.7953i | − | 0.385794i | ||||||
\(784\) | 3.56493 | − | 3.56493i | 0.127319 | − | 0.127319i | ||||
\(785\) | 1.15852 | − | 6.38437i | 0.0413494 | − | 0.227868i | ||||
\(786\) | 9.31633i | 0.332302i | ||||||||
\(787\) | 0.207485 | − | 0.500913i | 0.00739604 | − | 0.0178556i | −0.920138 | − | 0.391593i | \(-0.871924\pi\) |
0.927534 | + | 0.373738i | \(0.121924\pi\) | |||||||
\(788\) | 0.834111 | − | 0.345500i | 0.0297140 | − | 0.0123079i | ||||
\(789\) | 50.3329 | − | 20.8486i | 1.79190 | − | 0.742229i | ||||
\(790\) | −1.07433 | − | 0.691966i | −0.0382231 | − | 0.0246190i | ||||
\(791\) | 16.5823 | + | 16.5823i | 0.589599 | + | 0.589599i | ||||
\(792\) | 2.72660 | + | 6.58259i | 0.0968854 | + | 0.233902i | ||||
\(793\) | 29.9723 | − | 12.4149i | 1.06435 | − | 0.440867i | ||||
\(794\) | 34.3102 | + | 14.2118i | 1.21762 | + | 0.504356i | ||||
\(795\) | −65.0117 | + | 14.0737i | −2.30573 | + | 0.499143i | ||||
\(796\) | 0.136285 | − | 0.329021i | 0.00483049 | − | 0.0116618i | ||||
\(797\) | −30.3202 | − | 30.3202i | −1.07400 | − | 1.07400i | −0.997034 | − | 0.0769632i | \(-0.975478\pi\) |
−0.0769632 | − | 0.997034i | \(-0.524522\pi\) | |||||||
\(798\) | − | 3.24143i | − | 0.114745i | ||||||
\(799\) | 8.57061 | − | 11.4610i | 0.303206 | − | 0.405462i | ||||
\(800\) | −2.06789 | − | 4.55234i | −0.0731110 | − | 0.160950i | ||||
\(801\) | 17.1914 | − | 17.1914i | 0.607428 | − | 0.607428i | ||||
\(802\) | −11.9320 | − | 4.94241i | −0.421335 | − | 0.174523i | ||||
\(803\) | −4.48394 | −0.158235 | ||||||||
\(804\) | −0.817026 | − | 0.338423i | −0.0288143 | − | 0.0119353i | ||||
\(805\) | 47.4042 | − | 32.8425i | 1.67078 | − | 1.15755i | ||||
\(806\) | 8.15890 | − | 3.37953i | 0.287385 | − | 0.119039i | ||||
\(807\) | 22.8607 | − | 22.8607i | 0.804734 | − | 0.804734i | ||||
\(808\) | 7.81686 | − | 7.81686i | 0.274996 | − | 0.274996i | ||||
\(809\) | 20.9224 | − | 8.66632i | 0.735591 | − | 0.304692i | 0.0167436 | − | 0.999860i | \(-0.494670\pi\) |
0.718847 | + | 0.695168i | \(0.244670\pi\) | |||||||
\(810\) | 14.2897 | + | 20.6255i | 0.502090 | + | 0.724707i | ||||
\(811\) | 17.2005 | + | 7.12470i | 0.603993 | + | 0.250182i | 0.663658 | − | 0.748036i | \(-0.269003\pi\) |
−0.0596648 | + | 0.998218i | \(0.519003\pi\) | |||||||
\(812\) | 13.0240 | 0.457054 | ||||||||
\(813\) | −3.53394 | − | 1.46381i | −0.123941 | − | 0.0513380i | ||||
\(814\) | 14.9175 | − | 14.9175i | 0.522859 | − | 0.522859i | ||||
\(815\) | 8.19864 | − | 1.77484i | 0.287186 | − | 0.0621700i | ||||
\(816\) | 7.65958 | − | 4.54986i | 0.268139 | − | 0.159277i | ||||
\(817\) | − | 1.45748i | − | 0.0509907i | ||||||
\(818\) | −7.59872 | − | 7.59872i | −0.265683 | − | 0.265683i | ||||
\(819\) | 11.5512 | − | 27.8870i | 0.403631 | − | 0.974452i | ||||
\(820\) | −9.94757 | + | 2.15345i | −0.347384 | + | 0.0752017i | ||||
\(821\) | −8.29260 | − | 3.43491i | −0.289414 | − | 0.119879i | 0.233253 | − | 0.972416i | \(-0.425063\pi\) |
−0.522667 | + | 0.852537i | \(0.675063\pi\) | |||||||
\(822\) | −8.82147 | + | 3.65397i | −0.307684 | + | 0.127447i | ||||
\(823\) | −4.41319 | − | 10.6544i | −0.153834 | − | 0.371389i | 0.828108 | − | 0.560568i | \(-0.189417\pi\) |
−0.981943 | + | 0.189179i | \(0.939417\pi\) | |||||||
\(824\) | −4.48618 | − | 4.48618i | −0.156284 | − | 0.156284i | ||||
\(825\) | 16.2063 | − | 43.1845i | 0.564232 | − | 1.50349i | ||||
\(826\) | −28.8912 | + | 11.9671i | −1.00525 | + | 0.416389i | ||||
\(827\) | −7.64533 | + | 3.16680i | −0.265854 | + | 0.110120i | −0.511629 | − | 0.859207i | \(-0.670958\pi\) |
0.245775 | + | 0.969327i | \(0.420958\pi\) | |||||||
\(828\) | 4.74654 | − | 11.4592i | 0.164954 | − | 0.398234i | ||||
\(829\) | 11.0240i | 0.382880i | 0.981504 | + | 0.191440i | \(0.0613157\pi\) | ||||
−0.981504 | + | 0.191440i | \(0.938684\pi\) | |||||||
\(830\) | −33.2767 | − | 6.03845i | −1.15505 | − | 0.209598i | ||||
\(831\) | −24.3129 | + | 24.3129i | −0.843406 | + | 0.843406i | ||||
\(832\) | − | 5.21229i | − | 0.180704i | ||||||
\(833\) | −2.96865 | − | 20.5739i | −0.102858 | − | 0.712842i | ||||
\(834\) | −11.6900 | −0.404791 | ||||||||
\(835\) | −28.5715 | + | 44.3597i | −0.988759 | + | 1.53513i | ||||
\(836\) | 0.706309 | − | 1.70518i | 0.0244282 | − | 0.0589749i | ||||
\(837\) | 4.87327 | 0.168445 | ||||||||
\(838\) | 0.821783 | − | 1.98396i | 0.0283880 | − | 0.0685348i | ||||
\(839\) | 14.9538 | + | 36.1016i | 0.516262 | + | 1.24637i | 0.940184 | + | 0.340667i | \(0.110653\pi\) |
−0.423922 | + | 0.905699i | \(0.639347\pi\) | |||||||
\(840\) | −13.7816 | + | 9.54817i | −0.475512 | + | 0.329443i | ||||
\(841\) | −10.5453 | − | 10.5453i | −0.363632 | − | 0.363632i | ||||
\(842\) | −19.7807 | + | 19.7807i | −0.681687 | + | 0.681687i | ||||
\(843\) | −2.06189 | − | 4.97785i | −0.0710153 | − | 0.171446i | ||||
\(844\) | −4.33435 | − | 10.4640i | −0.149194 | − | 0.360187i | ||||
\(845\) | 5.65644 | − | 31.1714i | 0.194587 | − | 1.07233i | ||||
\(846\) | 5.79253i | 0.199151i | ||||||||
\(847\) | 23.1712 | + | 9.59782i | 0.796172 | + | 0.329785i | ||||
\(848\) | 9.73490 | + | 9.73490i | 0.334298 | + | 0.334298i | ||||
\(849\) | −38.8539 | −1.33346 | ||||||||
\(850\) | −20.1377 | − | 4.41265i | −0.690719 | − | 0.151353i | ||||
\(851\) | −36.7255 | −1.25894 | ||||||||
\(852\) | −15.3548 | − | 15.3548i | −0.526047 | − | 0.526047i | ||||
\(853\) | 34.8497 | + | 14.4352i | 1.19323 | + | 0.494252i | 0.888806 | − | 0.458284i | \(-0.151536\pi\) |
0.304424 | + | 0.952536i | \(0.401536\pi\) | |||||||
\(854\) | 21.5982i | 0.739076i | ||||||||
\(855\) | −0.288034 | + | 1.58729i | −0.00985055 | + | 0.0542843i | ||||
\(856\) | 0.619790 | + | 1.49630i | 0.0211840 | + | 0.0511426i | ||||
\(857\) | 12.4506 | + | 30.0585i | 0.425305 | + | 1.02678i | 0.980758 | + | 0.195230i | \(0.0625452\pi\) |
−0.555452 | + | 0.831548i | \(0.687455\pi\) | |||||||
\(858\) | 34.0003 | − | 34.0003i | 1.16075 | − | 1.16075i | ||||
\(859\) | 2.67780 | + | 2.67780i | 0.0913655 | + | 0.0913655i | 0.751312 | − | 0.659947i | \(-0.229421\pi\) |
−0.659947 | + | 0.751312i | \(0.729421\pi\) | |||||||
\(860\) | −6.19679 | + | 4.29324i | −0.211309 | + | 0.146398i | ||||
\(861\) | 13.0606 | + | 31.5311i | 0.445104 | + | 1.07458i | ||||
\(862\) | 6.62107 | − | 15.9847i | 0.225515 | − | 0.544440i | ||||
\(863\) | 27.0902 | 0.922163 | 0.461081 | − | 0.887358i | \(-0.347462\pi\) | ||||
0.461081 | + | 0.887358i | \(0.347462\pi\) | |||||||
\(864\) | 1.10071 | − | 2.65734i | 0.0374468 | − | 0.0904047i | ||||
\(865\) | 18.2781 | − | 28.3782i | 0.621473 | − | 0.964888i | ||||
\(866\) | 5.51258 | 0.187325 | ||||||||
\(867\) | 3.88975 | − | 36.5263i | 0.132103 | − | 1.24050i | ||||
\(868\) | 5.87935i | 0.199558i | ||||||||
\(869\) | −1.72528 | + | 1.72528i | −0.0585260 | + | 0.0585260i | ||||
\(870\) | −17.8426 | − | 3.23776i | −0.604922 | − | 0.109770i | ||||
\(871\) | 2.13326i | 0.0722828i | ||||||||
\(872\) | −3.17128 | + | 7.65614i | −0.107393 | + | 0.259270i | ||||
\(873\) | 14.9373 | − | 6.18725i | 0.505552 | − | 0.209407i | ||||
\(874\) | −2.96843 | + | 1.22956i | −0.100409 | + | 0.0415906i | ||||
\(875\) | 38.3851 | + | 5.63762i | 1.29765 | + | 0.190586i | ||||
\(876\) | −1.60467 | − | 1.60467i | −0.0542168 | − | 0.0542168i | ||||
\(877\) | −2.17663 | − | 5.25485i | −0.0734995 | − | 0.177444i | 0.882860 | − | 0.469637i | \(-0.155615\pi\) |
−0.956359 | + | 0.292193i | \(0.905615\pi\) | |||||||
\(878\) | −5.08283 | + | 2.10538i | −0.171537 | + | 0.0710531i | ||||
\(879\) | −13.4051 | − | 5.55256i | −0.452142 | − | 0.187283i | ||||
\(880\) | −9.33048 | + | 2.01986i | −0.314531 | + | 0.0680895i | ||||
\(881\) | −5.52498 | + | 13.3385i | −0.186141 | + | 0.449385i | −0.989211 | − | 0.146501i | \(-0.953199\pi\) |
0.803069 | + | 0.595886i | \(0.203199\pi\) | |||||||
\(882\) | 5.94933 | + | 5.94933i | 0.200324 | + | 0.200324i | ||||
\(883\) | 29.8519i | 1.00460i | 0.864694 | + | 0.502299i | \(0.167512\pi\) | ||||
−0.864694 | + | 0.502299i | \(0.832488\pi\) | |||||||
\(884\) | −17.2108 | − | 12.8703i | −0.578861 | − | 0.432875i | ||||
\(885\) | 42.5553 | − | 9.21236i | 1.43048 | − | 0.309670i | ||||
\(886\) | 10.6393 | − | 10.6393i | 0.357433 | − | 0.357433i | ||||
\(887\) | −12.6831 | − | 5.25350i | −0.425856 | − | 0.176395i | 0.159453 | − | 0.987206i | \(-0.449027\pi\) |
−0.585309 | + | 0.810810i | \(0.699027\pi\) | |||||||
\(888\) | 10.6771 | 0.358299 | ||||||||
\(889\) | 5.81433 | + | 2.40837i | 0.195006 | + | 0.0807743i | ||||
\(890\) | 18.5517 | + | 26.7771i | 0.621853 | + | 0.897571i | ||||
\(891\) | 44.2619 | − | 18.3339i | 1.48283 | − | 0.614208i | ||||
\(892\) | 12.2971 | − | 12.2971i | 0.411739 | − | 0.411739i | ||||
\(893\) | 1.06103 | − | 1.06103i | 0.0355060 | − | 0.0355060i | ||||
\(894\) | −20.8702 | + | 8.64472i | −0.698004 | + | 0.289123i | ||||
\(895\) | −23.3848 | + | 16.2014i | −0.781667 | + | 0.541553i | ||||
\(896\) | 3.20595 | + | 1.32795i | 0.107103 | + | 0.0443636i | ||||
\(897\) | −83.7055 | −2.79485 | ||||||||
\(898\) | −10.3001 | − | 4.26643i | −0.343718 | − | 0.142373i | ||||
\(899\) | −4.49653 | + | 4.49653i | −0.149968 | + | 0.149968i | ||||
\(900\) | 7.59717 | − | 3.45100i | 0.253239 | − | 0.115033i | ||||
\(901\) | 56.1819 | − | 8.10663i | 1.87169 | − | 0.270071i | ||||
\(902\) | 19.4331i | 0.647050i | ||||||||
\(903\) | 17.8749 | + | 17.8749i | 0.594839 | + | 0.594839i | ||||
\(904\) | −2.58618 | + | 6.24358i | −0.0860149 | + | 0.207658i | ||||
\(905\) | −33.8618 | + | 7.33040i | −1.12560 | + | 0.243671i | ||||
\(906\) | −34.6348 | − | 14.3462i | −1.15066 | − | 0.476621i | ||||
\(907\) | 49.3266 | − | 20.4318i | 1.63786 | − | 0.678425i | 0.641784 | − | 0.766886i | \(-0.278195\pi\) |
0.996080 | + | 0.0884604i | \(0.0281947\pi\) | |||||||
\(908\) | 4.57652 | + | 11.0487i | 0.151877 | + | 0.366664i | ||||
\(909\) | 13.0452 | + | 13.0452i | 0.432681 | + | 0.432681i | ||||
\(910\) | 34.0016 | + | 21.9001i | 1.12714 | + | 0.725980i | ||||
\(911\) | −45.5839 | + | 18.8815i | −1.51026 | + | 0.625571i | −0.975612 | − | 0.219502i | \(-0.929557\pi\) |
−0.534650 | + | 0.845073i | \(0.679557\pi\) | |||||||
\(912\) | 0.863000 | − | 0.357466i | 0.0285768 | − | 0.0118369i | ||||
\(913\) | −24.7112 | + | 59.6581i | −0.817821 | + | 1.97439i | ||||
\(914\) | − | 21.8649i | − | 0.723225i | ||||||
\(915\) | 5.36930 | − | 29.5891i | 0.177503 | − | 0.978185i | ||||
\(916\) | 8.31862 | − | 8.31862i | 0.274855 | − | 0.274855i | ||||
\(917\) | 14.9617i | 0.494079i | ||||||||
\(918\) | −6.05655 | − | 10.1961i | −0.199896 | − | 0.336520i | ||||
\(919\) | −22.4050 | −0.739074 | −0.369537 | − | 0.929216i | \(-0.620484\pi\) | ||||
−0.369537 | + | 0.929216i | \(0.620484\pi\) | |||||||
\(920\) | 13.9717 | + | 8.99904i | 0.460635 | + | 0.296689i | ||||
\(921\) | −28.1025 | + | 67.8456i | −0.926010 | + | 2.23559i | ||||
\(922\) | −9.38263 | −0.309000 | ||||||||
\(923\) | −20.0458 | + | 48.3948i | −0.659815 | + | 1.59293i | ||||
\(924\) | 12.2504 | + | 29.5751i | 0.403009 | + | 0.972949i | ||||
\(925\) | −18.0488 | − | 16.8722i | −0.593440 | − | 0.554753i | ||||
\(926\) | −13.5333 | − | 13.5333i | −0.444732 | − | 0.444732i | ||||
\(927\) | 7.48676 | − | 7.48676i | 0.245898 | − | 0.245898i | ||||
\(928\) | 1.43630 | + | 3.46752i | 0.0471487 | + | 0.113827i | ||||
\(929\) | 2.78146 | + | 6.71505i | 0.0912569 | + | 0.220314i | 0.962917 | − | 0.269797i | \(-0.0869565\pi\) |
−0.871660 | + | 0.490110i | \(0.836956\pi\) | |||||||
\(930\) | 1.46160 | − | 8.05457i | 0.0479278 | − | 0.264120i | ||||
\(931\) | − | 2.17950i | − | 0.0714302i | ||||||
\(932\) | −21.6054 | − | 8.94925i | −0.707709 | − | 0.293143i | ||||
\(933\) | −39.7997 | − | 39.7997i | −1.30298 | − | 1.30298i | ||||
\(934\) | 19.8500 | 0.649512 | ||||||||
\(935\) | −16.3695 | + | 35.7964i | −0.535341 | + | 1.17067i | ||||
\(936\) | 8.69852 | 0.284320 | ||||||||
\(937\) | 15.8604 | + | 15.8604i | 0.518135 | + | 0.518135i | 0.917007 | − | 0.398872i | \(-0.130598\pi\) |
−0.398872 | + | 0.917007i | \(0.630598\pi\) | |||||||
\(938\) | −1.31212 | − | 0.543497i | −0.0428422 | − | 0.0177458i | ||||
\(939\) | − | 4.56944i | − | 0.149118i | ||||||
\(940\) | −7.63663 | − | 1.38576i | −0.249079 | − | 0.0451985i | ||||
\(941\) | 18.5277 | + | 44.7297i | 0.603984 | + | 1.45815i | 0.869447 | + | 0.494026i | \(0.164475\pi\) |
−0.265463 | + | 0.964121i | \(0.585525\pi\) | |||||||
\(942\) | −2.39946 | − | 5.79280i | −0.0781786 | − | 0.188740i | ||||
\(943\) | 23.9212 | − | 23.9212i | 0.778981 | − | 0.778981i | ||||
\(944\) | −6.37226 | − | 6.37226i | −0.207399 | − | 0.207399i | ||||
\(945\) | 12.7101 | + | 18.3455i | 0.413458 | + | 0.596778i | ||||
\(946\) | 5.50828 | + | 13.2982i | 0.179089 | + | 0.432360i | ||||
\(947\) | 11.0613 | − | 26.7043i | 0.359444 | − | 0.867773i | −0.635935 | − | 0.771743i | \(-0.719385\pi\) |
0.995378 | − | 0.0960307i | \(-0.0306147\pi\) | |||||||
\(948\) | −1.23485 | −0.0401061 | ||||||||
\(949\) | −2.09490 | + | 5.05754i | −0.0680034 | + | 0.164175i | ||||
\(950\) | −2.02371 | − | 0.759463i | −0.0656579 | − | 0.0246402i | ||||
\(951\) | 17.5432 | 0.568877 | ||||||||
\(952\) | 12.3010 | − | 7.30692i | 0.398679 | − | 0.236819i | ||||
\(953\) | − | 8.42766i | − | 0.272999i | −0.990640 | − | 0.136499i | \(-0.956415\pi\) | ||
0.990640 | − | 0.136499i | \(-0.0435851\pi\) | |||||||
\(954\) | −16.2461 | + | 16.2461i | −0.525986 | + | 0.525986i | ||||
\(955\) | 18.5801 | + | 3.37158i | 0.601237 | + | 0.109102i | ||||
\(956\) | 13.2057i | 0.427103i | ||||||||
\(957\) | −13.2499 | + | 31.9881i | −0.428309 | + | 1.03403i | ||||
\(958\) | 9.18371 | − | 3.80402i | 0.296712 | − | 0.122902i | ||||
\(959\) | −14.1670 | + | 5.86816i | −0.457476 | + | 0.189493i | ||||
\(960\) | −4.06195 | − | 2.61625i | −0.131099 | − | 0.0844393i | ||||
\(961\) | 19.8905 | + | 19.8905i | 0.641628 | + | 0.641628i | ||||
\(962\) | −9.85633 | − | 23.7953i | −0.317781 | − | 0.767191i | ||||
\(963\) | −2.49711 | + | 1.03434i | −0.0804681 | + | 0.0333310i | ||||
\(964\) | −20.9168 | − | 8.66402i | −0.673684 | − | 0.279049i | ||||
\(965\) | −10.0967 | − | 46.6401i | −0.325023 | − | 1.50140i | ||||
\(966\) | 21.3259 | − | 51.4852i | 0.686149 | − | 1.65651i | ||||
\(967\) | 23.4943 | + | 23.4943i | 0.755527 | + | 0.755527i | 0.975505 | − | 0.219978i | \(-0.0705985\pi\) |
−0.219978 | + | 0.975505i | \(0.570599\pi\) | |||||||
\(968\) | 7.22756i | 0.232302i | ||||||||
\(969\) | 0.950599 | − | 3.73226i | 0.0305376 | − | 0.119897i | ||||
\(970\) | 4.58351 | + | 21.1729i | 0.147168 | + | 0.679822i | ||||
\(971\) | 28.5627 | − | 28.5627i | 0.916621 | − | 0.916621i | −0.0801605 | − | 0.996782i | \(-0.525543\pi\) |
0.996782 | + | 0.0801605i | \(0.0255433\pi\) | |||||||
\(972\) | 14.4291 | + | 5.97675i | 0.462815 | + | 0.191704i | ||||
\(973\) | −18.7737 | −0.601858 | ||||||||
\(974\) | −8.06967 | − | 3.34257i | −0.258569 | − | 0.107103i | ||||
\(975\) | −41.1371 | − | 38.4553i | −1.31744 | − | 1.23156i | ||||
\(976\) | −5.75032 | + | 2.38186i | −0.184063 | + | 0.0762415i | ||||
\(977\) | 0.211408 | − | 0.211408i | 0.00676354 | − | 0.00676354i | −0.703717 | − | 0.710480i | \(-0.748478\pi\) |
0.710480 | + | 0.703717i | \(0.248478\pi\) | |||||||
\(978\) | 5.73181 | − | 5.73181i | 0.183283 | − | 0.183283i | ||||
\(979\) | 57.4630 | − | 23.8020i | 1.83653 | − | 0.760714i | ||||
\(980\) | −9.26660 | + | 6.42007i | −0.296011 | + | 0.205081i | ||||
\(981\) | −12.7769 | − | 5.29238i | −0.407936 | − | 0.168973i | ||||
\(982\) | 2.31132 | 0.0737571 | ||||||||
\(983\) | 20.7949 | + | 8.61355i | 0.663256 | + | 0.274730i | 0.688808 | − | 0.724944i | \(-0.258134\pi\) |
−0.0255520 | + | 0.999673i | \(0.508134\pi\) | |||||||
\(984\) | −6.95451 | + | 6.95451i | −0.221702 | + | 0.221702i | ||||
\(985\) | −1.97310 | + | 0.427136i | −0.0628681 | + | 0.0136097i | ||||
\(986\) | 14.9962 | + | 3.81950i | 0.477575 | + | 0.121638i | ||||
\(987\) | 26.0254i | 0.828399i | ||||||||
\(988\) | −1.59332 | − | 1.59332i | −0.0506904 | − | 0.0506904i | ||||
\(989\) | 9.58898 | − | 23.1498i | 0.304912 | − | 0.736122i | ||||
\(990\) | −3.37084 | − | 15.5712i | −0.107132 | − | 0.494884i | ||||
\(991\) | 8.04403 | + | 3.33195i | 0.255527 | + | 0.105843i | 0.506770 | − | 0.862081i | \(-0.330839\pi\) |
−0.251243 | + | 0.967924i | \(0.580839\pi\) | |||||||
\(992\) | −1.56532 | + | 0.648377i | −0.0496990 | + | 0.0205860i | ||||
\(993\) | 0.217349 | + | 0.524726i | 0.00689735 | + | 0.0166517i | ||||
\(994\) | −24.6593 | − | 24.6593i | −0.782146 | − | 0.782146i | ||||
\(995\) | −0.431205 | + | 0.669481i | −0.0136701 | + | 0.0212240i | ||||
\(996\) | −30.1933 | + | 12.5065i | −0.956710 | + | 0.396282i | ||||
\(997\) | −2.88867 | + | 1.19653i | −0.0914852 | + | 0.0378944i | −0.427957 | − | 0.903799i | \(-0.640766\pi\) |
0.336471 | + | 0.941694i | \(0.390766\pi\) | |||||||
\(998\) | 11.1408 | − | 26.8962i | 0.352655 | − | 0.851385i | ||||
\(999\) | − | 14.2128i | − | 0.449673i |
(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 | 170.2.n.b.59.4 | yes | 20 | |
5.2 | odd | 4 | 850.2.l.h.501.4 | 20 | |||
5.3 | odd | 4 | 850.2.l.i.501.2 | 20 | |||
5.4 | even | 2 | 170.2.n.a.59.2 | yes | 20 | ||
17.15 | even | 8 | 170.2.n.a.49.2 | ✓ | 20 | ||
85.32 | odd | 8 | 850.2.l.h.151.4 | 20 | |||
85.49 | even | 8 | inner | 170.2.n.b.49.4 | yes | 20 | |
85.83 | odd | 8 | 850.2.l.i.151.2 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
170.2.n.a.49.2 | ✓ | 20 | 17.15 | even | 8 | ||
170.2.n.a.59.2 | yes | 20 | 5.4 | even | 2 | ||
170.2.n.b.49.4 | yes | 20 | 85.49 | even | 8 | inner | |
170.2.n.b.59.4 | yes | 20 | 1.1 | even | 1 | trivial | |
850.2.l.h.151.4 | 20 | 85.32 | odd | 8 | |||
850.2.l.h.501.4 | 20 | 5.2 | odd | 4 | |||
850.2.l.i.151.2 | 20 | 85.83 | odd | 8 | |||
850.2.l.i.501.2 | 20 | 5.3 | odd | 4 |